============================== Prover9 =============================== Prover9 (64) version 2017-09A, September 2017. Process 14976 was started by veroff on b146-08, Mon Dec 7 16:08:39 2020 The command was "prover9 -f nil3_30.in". ============================== end of head =========================== ============================== INPUT ================================= % Reading from file nil3_30.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). a(a(x,y,z),u,w) = a(a(x,y,z),w,u) # label("aa1_45"). end_of_list. formulas(goals). a(x,y,a(a(z,u,w),v5,v6)) = 1 # label("nil3 30, aa1-Nr"). end_of_list. formulas(hints). a(x,y,a(a(z,u,w),v5,v6)) = 1. 1 * x = x. x * 1 = x. x \ (x * y) = y. x * (x \ y) = y. (x * y) / y = x. (x / y) * y = x. x * y != z | x * 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). (x * y) \ (y * x) = K(y,x). (x * y) \ (x * (y * z)) = L(z,y,x). ((x * y) * z) / (y * z) = R(x,y,z). x \ (y * x) = T(y,x). 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). T(R(x,y,z),u) = R(T(x,u),y,z). L(R(x,y,z),u,w) = R(L(x,u,w),y,z). R(L(x,y,z),u,w) = L(R(x,u,w),y,z). L(L(x,y,z),u,w) = L(L(x,u,w),y,z). R(R(x,y,z),u,w) = R(R(x,u,w),y,z). a(a(x,y,z),u,w) = a(a(x,y,z),w,u). a(c29,c30,a(a(c31,c32,c33),c34,c35)) != 1. (1 * x) * 1 = x. 1 \ x = x. x \ (1 * (x * y)) = y. x \ x = 1. x \ (x * (y \ (y * z))) = z. (x * (x \ 1)) * y = y. x * (x \ (1 * y)) = y. x * (y * (y \ 1)) = x. x \ (y * (y \ (x * z))) = z. x * (y * (y \ (x \ z))) = z. x / x = 1. x / 1 = x. x * (((x \ y) * z) / z) = y. x / (y \ x) = y. ((1 / x) * x) * y = y. x * ((1 / y) * y) = x. (x / y) \ x = y. (x \ (x * (y / z))) * z = y. ((x * (x \ y)) / z) * z = y. (((x / y) / z) * z) * y = x. x != y | 1 * z != y | z = x. 1 * x != y | 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 * x != y | z = 1. x != y | z * x != y | 1 = z. x != y | z * u != y | z = x / u. x != y | z * u != y | x / u = z. x != 1 * y | x = y. 1 * x != y | y = x. 1 * x != y | x = y. x * y != (x * z) * 1 | y = z. (x * y) * 1 != x * z | z = y. x * y != z \ (z * (x * u)) | y = u. x \ (x * (y * z)) != y * u | u = z. x != y * z | y \ x = z. x * y != z | x \ z = y. (x / y) * z != x | z = y. x * y != ((x * z) / u) * u | y = z. ((x * y) / z) * z != x * u | u = 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. (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). (x * y) \ ((x * (y / z)) * z) = a(x,y / z,z). ((x / y) * (y * z)) \ (x * z) = a(x / y,y,z). (x * y) * K(y,x) = y * x. x \ ((y \ x) * y) = K(y \ x,y). ((x \ y) * x) \ y = K(x,x \ y). x \ (y * (x / y)) = K(y,x / y). (x * (y / x)) \ y = K(y / x,x). x \ (1 * (x * y)) = L(y,x,1). (x * 1) \ (x * y) = L(y,1,x). (x * y) \ (x * y) = L(1,y,x). (x * y) * L(z,y,x) = x * (y * z). x \ (y * ((y \ x) * z)) = L(z,y \ x,y). (x * y) \ (x * z) = L(y \ z,y,x). L(x \ y,x,z) = (z * x) \ (z * y). (x * (y / z)) \ (x * y) = L(z,y / z,x). L(x,y / x,z) = (z * (y / x)) \ (z * y). (x * y) / (x * y) = R(1,x,y). ((x * 1) * y) / y = R(x,1,y). (x * y) / (y * 1) = R(x,y,1). (x * y) / ((z \ x) * y) = R(z,z \ x,y). R(x,x \ y,z) = (y * z) / ((x \ y) * z). x / (y * ((z * y) \ x)) = R(z,y,(z * y) \ x). R(x,y,(x * y) \ z) = z / (y * ((x * y) \ z)). ((x * y) * (y \ z)) / z = R(x,y,y \ z). R(x,y,z) * (y * z) = (x * y) * z. (x * y) / (z * y) = R(x / z,z,y). R(x / y,y,z) = (x * z) / (y * z). ((x * (y / z)) * z) / y = R(x,y / z,z). x * (y \ (z * y)) = x * T(z,y). 1 \ x = T(x,1). T(x,x) = x. x * T(y,x) = y * x. (x \ y) \ y = T(x,x \ y). T(x,x \ y) = (x \ y) \ y. x \ y = T(y / x,x). T(x / y,y) = y \ x. x * T(T(y,z),u) = x * T(T(y,u),z). T(L(T(x,y),z,u),w) = L(T(T(x,w),y),z,u). T(R(T(x,y),z,u),w) = T(T(R(x,z,u),w),y). T(T(R(x,y,z),u),w) = T(R(T(x,w),y,z),u). x != y | z != y | z = x. x != y | x = (y / z) * z. (x * y) / y = (x / z) * z. 1 * x = (x / y) * y. (x / y) * y = 1 * x. x != y | x = z * (z \ y). x \ (x * y) = z * (z \ y). x * 1 = y * (y \ x). x * (x \ y) = y * 1. x * y != z | ((z / u) * u) / y = x. ((x / y) * y) / z = x / z. x * y != z | (1 * z) / y = x. (1 * x) / y = x / y. x * y != (z / u) * u | z / y = x. x / (y \ ((x / z) * z)) = y. x != y | z != y | x / z = 1. x * (y * (y \ 1)) != z | z = x. ((x * y) * z) / a(x,y,z) = x * (y * z). (x * y) * a(x,z,z \ y) = (x * z) * (z \ y). (x * (y * (z * u))) \ (x * ((y * z) * u)) = L(a(y,z,u),y * (z * u),x). (x / y) \ x = z * (z \ y). (x / (1 * y)) \ x = y. ((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. x != (y / z) \ y | x = z. T(x / (x / y),x / y) = y. x != y \ (y * z) | x = z. T((x * y) / x,x) = y. x * T(y / x,x) = y. T(x \ y,z) = T(T(y / x,z),x). T(T(x / y,z),y) = T(y \ x,z). T(L(x / y,z,u),y) = L(y \ x,z,u). T(R(x / y,z,u),y) = R(y \ x,z,u). x * y != z * (z \ x) | 1 = y. 1 = x \ (y * (y \ x)). x \ (y * (y \ x)) = 1. x != y | z != y | 1 = x \ z. x != y | z != y | x \ z = 1. x * y != z * (z \ u) | x \ u = y. ((x * (x \ y)) / z) \ y = z. ((x / y) * y) * z != u | x \ u = z. x != y | x = (y * z) / z. x / (y \ x) = (y * z) / z. (x * y) / y = z / (x \ z). x / (y \ x) = z * (z \ y). (x / (y \ x)) * z = y * z. (x * y) / K(x,y) = y * x. (x * (y * z)) / L(z,y,x) = x * y. (x * y) / T(x,y) = y. x / (y / ((z \ x) \ y)) = z. (x * y) / L(z,y / z,x) = x * (y / z). x / L(y,z,x / (z * y)) = (x / (z * y)) * z. (x / (y \ x)) \ z = y \ z. x / (y * x) = R(1 / y,y,x). R(1 / x,x,y) = y / (x * y). x * y != z * (u * w) | x \ ((z * u) * L(w,u,z)) = y. x \ ((x * y) * L(z,y,x)) = y * z. ((1 / x) * x) * y != z | y = z. L(x,y,1 / y) = (1 / y) * (y * x). (1 / x) * (x * y) = L(y,x,1 / x). x != ((y / z) * z) * u | x = y * u. (x / y) * (y * z) = x * L(z,y,x / y). x * L(y,z,x / z) = (x / z) * (z * y). x * y != ((1 / z) * z) * u | x \ u = y. (1 / x) \ L(y,x,1 / x) = x * y. x * L(y,z \ x,z) = z * ((z \ x) * y). x * (y * z) != (x * y) * u | L(z,y,x) = u. (x * y) * z != x * (y * u) | L(u,y,x) = z. (x * y) * L(z,y,x) != x * u | y * z = u. (x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) = L(u,L(z,y,x),x * y). (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). ((x * (y * z)) * L(u,z,y)) / (y * (z * u)) = R(x,y * z,L(u,z,y)). (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)). (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). x * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)). (x * y) / y != z * u | x / u = z. T(x,y) = T(T((z * x) / z,y),z). T(T((x * y) / x,z),x) = T(y,z). x != y * (y \ z) | x = z. (x \ y) * T(x,x \ y) = y. x * y != z * T(u,z) | (u * z) / y = x. (x * y) / T(y,T(x,y)) = T(x,y). x * y != z * (z \ u) | u / y = x. x / T(y,y \ x) = y \ x. x * y != z * u | (u * T(z,u)) / y = x. (x * T(y,x)) / x = y. x * y != z * u | x \ (u * T(z,u)) = y. x \ (y * T(x,y)) = y. x * y != 1 * x | 1 = y. 1 = T(1,x). T(1,x) = 1. 1 * x != y * 1 | x = y. T(x,1) = x. x * (y * T(z,y)) = x * (z * y). x * y != z * T(u,z) | x \ (u * z) = y. (x * (y * T(z,x * y))) \ (z * (x * y)) = a(x,y,T(z,x * y)). x * (y * (y \ T(z,x))) = z * x. 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 != z * T(x,z) | y = z. x * T(y,x) != y * z | z = x. x * T(y,z) != y * z | x = z. x * y != y * T(z,y) | x = z. x * T(y,x) != z * x | z = y. (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z,T(y,z)). (x * (T(y,x) * z)) \ ((y * x) * z) = a(x,T(y,x),z). (x * y) \ (T(x,y) * y) = K(T(x,y),y). (x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y). (x * y) \ (x * (z * y)) = L(T(z,y),y,x). ((x * y) * z) / (T(x,y) * z) = R(y,T(x,y),z). x * T(T(y,x),z) = T(y,z) * x. x * L(T(y,x),z,u) = L(y,z,u) * x. x * R(T(y,x),z,u) = R(y,z,u) * x. (x * (y * z)) * a(x,z,T(y,z)) = (x * z) * T(y,z). x != y | z * u != y | u \ x = T(z,u). x != y | z * u != y | T(z,u) = u \ x. x * y != z | y \ z = T(x,y). x * y != z | T(x,y) = y \ z. (x * (y * z)) / L(T(y,z),z,x) = x * z. (x * y) * L(z,T(x,y),y) = y * (T(x,y) * z). (x * y) * L(L(z,T(x,y),y),u,w) = y * (T(x,y) * L(z,u,w)). (x * T(T(y,x),z)) / x = T(y,z). x * y != L(z,u,w) * v5 | x \ (v5 * L(T(z,v5),u,w)) = y. L(x,y,z) \ (u * L(T(x,u),y,z)) = u. x != (y * 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). (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(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 != (z * u) * L(w,u,z) | (z * (u * w)) / y = x. (x * (y * z)) / (x * y) = L(((x * y) * z) / (x * y),y,x). L(((x * y) * z) / (x * y),y,x) = (x * (y * z)) / (x * y). (x * L(y,z,u)) / x = L((x * y) / x,z,u). 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 * (u * w)) * a(z,u,w) | x \ ((z * u) * w) = y. R(x,y * z,a(x,y,z)) \ ((x * y) * z) = (y * z) * a(x,y,z). x * y != ((z / u) * u) * w | x \ (z * w) = y. R(x / y,y,z) \ (x * z) = y * z. R(1 / x,x,y) \ y = x * y. R(x,y,(x * y) \ z) \ z = y * ((x * y) \ z). 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,y \ z) * z = (x * y) * (y \ z). R(x,y / z,z) * y = (x * (y / z)) * z. (x * y) * z != u * (y * z) | R(x,y,z) = u. (((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u). ((x * R(y,z,u)) * (z * u)) / ((y * z) * u) = R(x,R(y,z,u),z * u). T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. ((x * y) * z) * a(R(x,y,z),y,z) = (R(x,y,z) * y) * z. R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y). R(x,R(y,z,u),z * u) * ((y * z) * u) = (x * R(y,z,u)) * (z * u). L(R(x,y,y \ z),u,w) * z = (L(x,u,w) * y) * (y \ z). x * 1 != y * z | y \ x = z. x * (x \ y) != z | z = y. 1 \ x != y | y = x. (x * y) * K(y,x) != z | z = y * x. (x * y) * K(y,x) != z | y * x = z. (x * y) * L(z,y,x) != u | u = x * (y * z). (x * y) * L(z,y,x) != u | x * (y * z) = u. x * T(y,x) != z | z = y * x. x * T(y,x) != z | y * x = z. (x / y) * y != z | z = x. x / 1 != y | y = x. R(x,y,z) * (y * z) != u | u = (x * y) * z. R(x,y,z) * (y * z) != u | (x * y) * z = u. ((x / y) * y) * z != u | u = x * z. ((x / y) * y) * z != u | x * z = u. (x * y) / y != z | z = x. x * y != z | z = y * T(x,y). x * y != z | y * T(x,y) = z. x / x != y | y = 1. x / x != y | 1 = y. x / (y \ x) != z | z = y. (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 * T(y,x)) / x != z | z = y. ((x * y) * z) / (y * z) != u | u = R(x,y,z). ((x * y) * z) / (y * z) != u | R(x,y,z) = u. (R(x,y,z) * (y * z)) / z != u | u = x * y. (R(x,y,z) * (y * z)) / z != u | x * y = u. (x * (x \ y)) * z != u | y * z = u. x * y != x * z | z = y. x \ (x * y) != z * u | u = z \ y. x \ (x * y) != z * u | z \ y = u. x \ x != y * z | y \ 1 = z. x \ (y * (y \ (x * z))) != u * w | u \ z = w. (x / y) \ x != z * u | z \ y = u. x \ (y * x) != z * u | z \ T(y,x) = u. R(x,y,z) \ ((x * y) * z) != u * w | u \ (y * z) = w. x * K(y,x / y) = y * (x / y). ((x \ y) * x) * K(x,x \ y) = y. x * y != x | 1 = y. 1 = K(x,x). K(x,x) = 1. K(x,1 / x) = x * (1 / x). x * (1 / x) = K(x,1 / x). x * y != (z * u) * K(u,z) | (u * z) / y = x. (x * y) / T(y * x,K(x,y)) = K(x,y). (x * y) / (x * K(x,y)) = R(y,x,K(x,y)). x * K(y \ x,y) = (y \ x) * y. x * y != (y * x) * z | K(x,y) = z. (x * y) * z != y * x | K(y,x) = z. (x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x). (x * (y * z)) / L(K(y,z),z * y,x) = x * (z * y). R(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y). ((x * y) * z) * K(y * z,R(x,y,z)) = (y * z) * R(x,y,z). x * y != z * ((z \ x) * u) | L(u,z \ x,z) = y. x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u. (x * y) * z != y * (T(x,y) * u) | L(u,T(x,y),y) = z. (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 \ x)) * z != u | u = y * z. (x / (y \ x)) * z != u | y * z = u. (x * L(x \ y,z,u)) / x = L(y / x,z,u). L(x \ 1,x,y) = (y * x) \ y. L((x \ y) \ z,x \ y,x) = y \ (x * z). L(x \ (y \ z),x,y) = (y * x) \ z. L(x \ y,x,z / x) = z \ ((z / x) * y). L(x \ y,x,z / y) = ((z / y) * x) \ z. T((x * y) \ (x * z),u) = L(T(y \ z,u),y,x). L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). L(x \ L(y,z,u),x,u * z) = ((u * z) * x) \ (u * (z * y)). L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). L(x \ T(y,z),x,z) = (z * x) \ (y * z). L(x \ y,x,L(z / x,u,w)) = (x * L(x \ z,u,w)) \ (L(z / x,u,w) * y). (x * L(x \ y,z,u)) \ (L(y / x,z,u) * w) = L(x \ w,x,L(y / x,z,u)). R(x / y,y,x \ z) = z / (y * (x \ z)). R(x / y,y,y \ z) = (x * (y \ z)) / z. R((x / y) / z,z,y) = x / (z * y). R(x / (y / z),y / z,z) = (x * z) / y. T(R(x / y,y,z),y * z) = (y * z) \ (x * z). R(x / y,y,T(z,y)) = (x * T(z,y)) / (z * y). R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). R(x / R(y,z,u),R(y,z,u),z * u) = (x * (z * u)) / ((y * z) * u). L(R(x / y,y,z),u,w) * (y * z) = (y * z) * L((y * z) \ (x * z),u,w). R(R(x / y,y,z),y * z,u) = ((x * z) * u) / ((y * z) * u). x != L(R(y,z,u),w,v5) * (z * u) | x = (L(y,w,v5) * z) * u. (x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y. (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) = (x * L(x \ z,u,w)) * y. (x * L(y,z,u)) * y = (x * y) * L(y,z,u). (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) = (x / L(y,z,u)) * y. x / L(x,y,z) = (1 / L(x,y,z)) * x. (1 / L(x,y,z)) * x = x / L(x,y,z). ((x / L(y,z,u)) * y) \ (x * y) = L(y,z,u). ((x * y) * z) \ ((x * (y * z)) * z) = L(z,y,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 * y != (1 / L(z,u,w)) * z | x \ (z / L(z,u,w)) = y. x \ (x / L(x,y,z)) = T(1 / L(x,y,z),x). T(1 / L(x,y,z),x) = x \ (x / L(x,y,z)). x / (y * (y \ 1)) = x. x * (y * z) != (u * y) * z | x = R(u,y,z). (x * y) * (y \ 1) = R(x,y,y \ 1). x * (y * z) != (u * y) * L(z,y,u) | x = u. (x * y) * L(y \ 1,y,x) = x. x * y != z * (u * (u \ 1)) | z / y = x. x / L(y \ 1,y,x) = x * y. L(R(x,y,y \ 1),z,u) / (y \ 1) = L(x,z,u) * y. R(x,y,y \ 1) / (y \ 1) = x * y. x * y != z * (u * (u \ 1)) | x \ z = y. (x * y) \ R(x,y,y \ 1) = y \ 1. x \ ((x * y) * (y \ 1)) = a(x,y,y \ 1). x * a(x,y,y \ 1) = (x * y) * (y \ 1). x / (y * (y \ 1)) != z | z = x. (x * y) * z != x | L(y \ 1,y,x) = z. (T(x,y) * z) / T(T(x,z),y) = z. x * T(T(y,x),z) != u * x | T(y,z) = u. x * T(x \ (y * x),z) = T(y,z) * x. x * T(T(T(y,x),z),u) = T(T(y,z),u) * x. x * T(x \ y,z) = T(y / x,z) * x. T(x / y,z) * y = y * T(y \ x,z). x * T(y,z) = T((x * y) / x,z) * x. T((x * y) / x,z) * x = x * T(y,z). (x * T(y,z)) / x = T((x * y) / x,z). T(x,y) * x = x * T(x,y). x * T(y,z) != u * x | T((x * y) / x,z) = u. (x * T(y,z)) / x != u | u = T((x * y) / x,z). (x * T(y,z)) / x != u | T((x * y) / x,z) = u. x * 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 * (y \ z)) != u | u = x * z. x * (y * (y \ z)) != u | x * z = u. x \ (x * y) != z | z = y. x * (x \ y) != z * u | z \ y = u. (x / (y * (y \ z))) * z = x. x * (y * T(z,y)) != u | x * (z * y) = u. x \ x != y | y = 1. x \ x != y | 1 = y. (x / y) \ x != z | z = y. (x * (y * z)) \ ((x * y) * z) != u | u = a(x,y,z). (x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u. T((x * y) / x,x) != z | z = y. (x * y) \ (x * (y * z)) != u | u = L(z,y,x). (x * y) \ (x * (y * z)) != u | L(z,y,x) = u. x \ (y * x) != z | z = T(y,x). x \ (y * x) != z | T(y,x) = z. (x * y) \ (y * x) != z | z = K(y,x). (x * y) \ (y * x) != z | K(y,x) = z. x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u. (x * y) \ (x * z) != u | L(y \ z,y,x) = u. (x * (y * (z * u))) \ (x * ((y * z) * u)) != w | L(a(y,z,u),y * (z * u),x) = w. (x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w. (x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u. (x * y) \ x != z | L(y \ 1,y,x) = z. 1 * x != y * z | x / z = y. (x / y) * y != z | x = z. (1 * x) / y != z | z = x / y. (1 * x) / y != z | x / y = z. (x * y) / y != z | x = z. ((1 / x) * x) * y != z * u | y / u = z. (x / y) * y != z * u | x / u = z. (x \ (x * (y / z))) * z != u * w | y / w = u. x * y != z * u | (x * y) / u = z. x * (x \ y) != z * u | y / u = z. ((x / y) * y) * z != u * w | (x * z) / w = u. L(x,(y \ z) / x,y) = (y * ((y \ z) / x)) \ z. R(x,x \ 1,y) = y / ((x \ 1) * y). R(x,x \ y,(x \ y) \ z) = (y * ((x \ y) \ z)) / z. R(x,x \ y,z) \ (y * z) = (x \ y) * z. T((x * y) / (z * y),u) * (z * y) = (T(x / z,u) * z) * y. x != T((y * z) / y,u) * y | x = y * T(z,u). (T((x * y) / x,z) * x) * y = (x * y) * T(y,z). (x * y) * x = (y * x) * T(x,y). (x * y) * T(y,x) = (y * x) * y. (x * T(y,z)) * y = (x * y) * T(y,z). (x * y) / 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 * x)) / x = y * T(x,y * x). T(x,y) / x = (1 / x) * T(x,y). (1 / x) * T(x,y) = T(x,y) / x. x / T(x,y) = (1 / T(x,y)) * x. (1 / T(x,y)) * x = x / T(x,y). (x * (y \ z)) * (z / y) = (x * (z / y)) * T(z / y,y). (x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z). (x * T(T(y,x),z)) * T(y,x) = (y * x) * T(T(y,x),z). (x * y) / x = (y / x) * T(x,y). (x / y) * T(y,x) = (y * x) / y. x / y = ((x / T(y,z)) / y) * T(y,z). ((x / T(y,z)) / y) * T(y,z) = x / y. (x * (y / x)) * x = y * T(x,y / x). K(x,1 / x) \ (x * ((1 / x) * y)) = L(y,1 / x,x). L(x \ (1 / y),x,y) = (y * x) \ K(y,1 / y). K(x \ 1,x) = (x \ 1) * x. (x \ 1) * x = K(x \ 1,x). x \ (y * T(y \ x,y)) = K(y \ x,y). 1 * 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 * y != 1 * z | x \ z = y. (x \ 1) \ K(x \ 1,x) = x. (x * y) \ (x * ((z \ y) * z)) = L(K(z \ y,z),y,x). (x \ 1) * x != y | K(x \ 1,x) = y. x \ ((y \ x) * y) != z | z = K(y \ x,y). x \ ((y \ x) * y) != z | K(y \ x,y) = z. x * y != (z * x) * T(x,u) | T(z * T(x,u),x) = y. T(x * T(y,x * y),y) = x * y. x != y | y / 1 = x. (x * (T(y,x) * z)) \ ((y * x) * z) != u | a(x,T(y,x),z) = u. (x * y) * z != (u * x) * y | T(R(u,x,y),x * y) = z. T(R(x,y,x),y * x) = T(x,y). T(x,1 / x) / x = x * (1 / x). 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 \ z | x = T(z / y,y). T(x \ y,1) = T(y / x,x). K(x,1) = 1. x * y != (z \ u) \ u | x \ T(z,z \ u) = y. x \ T(y,y \ z) = x \ ((y \ z) \ z). T(x,x \ y) * z = ((x \ y) \ y) * z. x * T(y,y \ z) = x * ((y \ z) \ z). (x \ y) \ y = z * (z \ T(x,x \ y)). x * y != T(z,z \ u) | x \ ((z \ u) \ u) = y. (T(x,x \ y) / z) \ ((x \ y) \ y) = z. T((x \ y) \ y,z) = T(T(x,z),x \ y). T(T(x,y),x \ z) = T((x \ z) \ z,y). T(L(x,y,z),x \ u) = L((x \ u) \ u,y,z). T(x / y,(x / y) \ x) = y \ x. L(T(x,x \ y),x \ y,z) = (z * (x \ y)) \ (z * y). (x \ y) * T((x \ y) \ y,z) = T(x,z) * (x \ y). ((((x * y) / x) \ z) \ z) * x = x * T(y,((x * y) / x) \ z). T(x \ y,T(x,x \ y)) = ((x \ y) \ y) \ y. ((x \ y) \ y) * (T(x,x \ y) \ z) = z. T(x,x \ y) \ z = ((x \ y) \ y) \ z. x * y != ((z \ u) \ u) * w | x \ (T(z,z \ u) * w) = y. ((x \ y) \ y) \ (T(x,x \ y) * z) = z. x * y != T(z,z \ u) * x | T((z \ u) \ u,x) = y. T((((x * y) / x) \ z) \ z,x) = T(y,((x * y) / x) \ z). (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,(x \ y) \ y). x * y != z * u | z \ (x * y) = u. x * (y * (y \ (x \ z))) != u * w | u \ z = w. x * T(y,x) != z * u | z \ (y * x) = u. (x / y) * y != z * u | z \ x = u. x * (y * (y \ z)) != u * w | u \ (x * z) = w. R(x,T(y,x),z) \ ((y * x) * z) = T(y,x) * z. R(x,T(y,x),(y * x) \ z) \ z = T(y,x) * ((y * x) \ z). R(x,T(y,x),T(z,y * x)) \ (z * (y * x)) = T(y,x) * T(z,y * x). (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). x \ ((x / (y * z)) * (y * (z * u))) = L(L(u,z,y),y * z,x / (y * z)). L(L(x,y,z),z * y,u / (z * y)) = u \ ((u / (z * y)) * (z * (y * x))). (R(x,y,z * u) * (y * z)) \ ((x * y) * (z * u)) = L(L(u,z,y),y * z,R(x,y,z * u)). (x * (y * z)) \ (x * y) = L(L(z \ 1,z,y),y * z,x). L(L(x \ 1,x,y),y * x,z) = (z * (y * x)) \ (z * y). (x * y) * T(L(z,y,x),u) != w | x * (y * T(z,u)) = w. (x * y) * R(L(z,y,x),u,w) != v5 | x * (y * R(z,u,w)) = v5. L(x,y,1 / y) != z | (1 / y) * (y * x) = z. (x * y) * (y \ 1) != z | R(x,y,y \ 1) = z. (x * y) * K(z \ y,z) != u * ((z \ y) * z) | R(x,y,K(z \ y,z)) = u. T(x,1) != y | y = x. T(x / y,y) != z | z = y \ x. T(x / y,y) != z | y \ x = z. T(x,x \ y) != z | (x \ y) \ y = z. R(T(x,R(x,y,z) \ u),y,z) != w | (R(x,y,z) \ u) \ u = w. T(x \ y,T(x,x \ y)) != z | ((x \ y) \ y) \ y = z. T((x * y) \ z,u) = L(T(y \ (x \ z),u),y,x). L(T(x \ (y \ z),u),x,y) = T((y * x) \ z,u). L((x * y) \ z,u,w) = L(L(y \ (x \ z),u,w),y,x). L(L(x \ (y \ z),u,w),x,y) = L((y * x) \ z,u,w). (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). R(x / y,y,x \ z) \ z = y * (x \ z). R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u. x * (y * (y \ 1)) != z * u | z \ x = u. 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 * y) * z != R(x,y,T(u,y)) * (u * y) | z = T(u,y). R(T(x,x * y),y,T(x,y)) = T(x,y). x * R(x \ y,z,u) = R(y / x,z,u) * x. R(x / y,z,u) * y = y * R(y \ x,z,u). x * R(y,z,u) = R((x * y) / x,z,u) * x. R((x * y) / x,z,u) * x = x * R(y,z,u). (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). ((x * y) * 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) \ y = R(T(1 / x,x * y),x,y). R(T(1 / x,x * y),x,y) = (x * y) \ y. (x * y) * z != (y * x) * y | z = T(y,x). R(T(x,y * x),y,x) = T(x,y). (x * y) * z != (y * z) * u | R(T(x,y * z),y,z) = u. (x * y) * z != (u * x) * y | R(T(u,x * y),x,y) = z. (x * y) * R(z,x,y) = ((((x * y) * z) / (x * y)) * x) * y. ((((x * y) * z) / (x * y)) * x) * y = (x * y) * R(z,x,y). R(T(x,y),y / x,x) = T(x,y / x). x * T(x \ (y * x),z) != u | T(y,z) * x = u. x * T(x \ y,z) != u | T(y / x,z) * x = u. (x \ y) * T((x \ y) \ y,z) != u | T(x,z) * (x \ y) = u. (x \ y) * z != y | T(x,x \ y) = z. x * y != R(z,u,x) * (u * x) | T(z * u,x) = y. R(x,y,z) * (y * z) != z * u | T(x * y,z) = u. x * y != (x * z) * K(z,x) | T(z,x) = y. (x * y) * K(y,x) != x * z | T(y,x) = z. 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. K(x \ y,x) * z != (x \ y) * x | T(y,K(x \ y,x)) = z. (x * y) / ((z \ x) * y) != u | R(z,z \ x,y) = u. x / (y * x) != z | R(1 / y,y,x) = z. x * ((x \ 1) * y) = L(y,x \ 1,x). (x * (x \ 1)) \ y = y. x * y != (z * (z \ 1)) * u | u / y = x. T(x \ 1,y) / (x \ 1) = x * T(x \ 1,y). L(x,y \ 1,y) / ((y \ 1) * x) = y. x * y != (z * (z \ 1)) * u | x \ u = y. R(x,x \ 1,y) \ y = (x \ 1) * y. x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u). x \ L(y,x \ 1,x) = (x \ 1) * y. x != (y * (y \ 1)) * z | x = z. (x * (x \ 1)) * y != z | z = y. x != y * ((y \ 1) * z) | L(z,y \ 1,y) = x. x * ((x \ 1) * y) != z | L(y,x \ 1,x) = z. x / ((y \ 1) * x) != z | R(y,y \ 1,x) = z. x * y = L((x \ 1) \ y,x \ 1,x). L((x \ 1) \ y,x \ 1,x) = x * y. x * (y * (x \ 1)) = L(T(y,x \ 1),x \ 1,x). L(T(x,y \ 1),y \ 1,y) = y * (x * (y \ 1)). L((x \ 1) \ y,x \ 1,x) != z | x * y = z. x \ L(y,x \ 1,x) != z | z = (x \ 1) * y. x \ L(y,x \ 1,x) != z | (x \ 1) * y = z. (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). L(T(x,y),y,x) = T(x,x * y). x != L(T(y,z),u,w) | x = T(L(y,u,w),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 * y) * L(T(x,x * y),z,u) = x * (y * L(T(x,y),z,u)). x * T(y,y * x) = L(y,x,y) * x. (x * y) * T(T(x,x * y),z) = x * (y * T(T(x,y),z)). x != y * L(T(z,y),u,w) | x = L(z,u,w) * y. x * (y * L(T(x,y),z,u)) = L(x,z,u) * (x * y). x * (L(x,y,z) * u) = L(x,y,z) * (x * u). L(x,y,z) * (x * u) = x * (L(x,y,z) * u). x \ 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. x * y != z * (u * (u \ w)) | x \ (z * w) = y. 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 \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). x \ L(x,y,z) = L(x,y,z) * (x \ 1). L(x,y,z) * (x \ 1) = x \ L(x,y,z). 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. L(x,y,z) \ x != x * u | L(x,y,z) \ 1 = u. (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(L(x,y,z) \ 1,x). T(x,y) * (x * z) = x * (z * T(T(x,z),y)). x * (y * T(T(x,y),z)) = T(x,z) * (x * y). x * (T(x,y) * z) = T(x,y) * (x * z). T(x,y) * (x * z) = x * (T(x,y) * z). x \ y = T(x,z) * (x \ (T(x,z) \ y)). T(x,y) * (x \ (T(x,y) \ z)) = x \ z. T(x,y) * z = x * (T(x,y) * (x \ z)). x * (T(x,y) * (x \ z)) = T(x,y) * z. x != y * (z * (z \ u)) | x = y * u. T(x,y) * (x * (T(x,y) \ z)) = x * z. T(x,y) \ (x * z) = x * (T(x,y) \ z). T(x,y) \ x = x * (T(x,y) \ 1). x * (T(x,y) \ 1) = T(x,y) \ x. x \ (T(x,y) * z) = T(x,y) * (x \ z). x \ T(x,y) = T(x,y) * (x \ 1). T(x,y) * (x \ 1) = x \ T(x,y). T(x / y,z) * x = (x / y) * (T(x / y,z) * y). (x / y) * (T(x / y,z) * y) = T(x / y,z) * x. (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) = x * (T(x,y) * T(z,x)). x * (T(x,y) * T(z,x)) = T(x,y) * (z * x). T(x,y) \ (x \ z) = x \ (T(x,y) \ z). (x * K(y \ 1,y)) \ ((x * (y \ 1)) * y) = a(x,y \ 1,y). (K(x \ 1,x) * y) / (x * y) = R(x \ 1,x,y). K(x \ 1,x) * L(y,x,x \ 1) = (x \ 1) * (x * y). ((x \ 1) * (x * y)) \ (K(x \ 1,x) * y) != z | a(x \ 1,x,y) = z. (x * (y \ 1)) * y != z * K(y \ 1,y) | R(x,y \ 1,y) = z. K(x \ 1,x) * T(((x \ 1) * x) \ y,z) = (x \ 1) * (x * T(x \ ((x \ 1) \ y),z)). x != y | y / x = 1. ((x * y) \ x) / L(y \ 1,y,x) = 1. x * L(y \ 1,y,z) = x * ((z * y) \ z). L((x \ y) \ 1,x \ y,x) = y \ x. L(x \ 1,x,y / x) = y \ (y / x). T((x * y) \ x,z) = L(T(y \ 1,z),y,x). L((x * y) \ x,z,u) = L(L(y \ 1,z,u),y,x). L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z). (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). L(1 / x,x,y) * x = x * ((y * x) \ y). (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). ((x * y) \ x) * (x * y) = x * (y * T(y \ 1,x * y)). R(x,x \ 1,x) = x / K(x \ 1,x). x / K(x \ 1,x) = R(x,x \ 1,x). R(x,x \ y,y \ z) \ z = (x \ y) * (y \ z). R(x,x \ (y / z),z) \ y = (x \ (y / z)) * z. x != y * (1 / y) | x = K(y,1 / y). T(x,1 / x) / x = K(x,1 / x). K(x \ 1,x) != y | (x \ 1) * x = y. x * y != z * T(u / z,z) | x \ u = y. ((x \ y) \ y) \ z = T(z / T(x,x \ y),T(x,x \ y)). T(x / T(y,y \ z),T(y,y \ z)) = ((y \ z) \ z) \ x. x \ (x * y) != z * u | z = y / u. x \ (x * y) != z * u | y / u = z. x \ x != y * z | 1 / z = y. R(x,y,z) \ ((x * y) * z) != u * w | (y * z) / w = u. x != (y * z) \ (y * u) | x = L(z \ u,z,y). K(x,(x * y) / x) = L(y \ ((x * y) / x),y,x). L(x \ ((y * x) / y),x,y) = K(y,(y * x) / y). x * y != z \ z | x \ 1 = y. T(x,y) \ 1 = x \ (T(x,y) \ x). x \ (T(x,y) \ x) = T(x,y) \ 1. x * (y \ y) = x. T(x,y \ y) = x. (x * y) * ((z * L(u,y,x)) / z) = x * (y * ((z * u) / z)). 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) \ (y * u))) / x = L((x * (z \ u)) / x,z,y). L((x * (y \ z)) / x,y,u) = (x * ((u * y) \ (u * z))) / x. L(x / y,z,u) * y != w | y * L(y \ x,z,u) = w. (x * y) \ (x * (z * y)) = T(L(z,y,x),y). x \ (y * (z * (y \ x))) = L(T(z,y \ x),y \ x,y). L(T(x,y \ z),y \ z,y) = z \ (y * (x * (y \ z))). x * ((y * x) \ (y * (z * x))) = L(z,x,y) * x. x \ (y * (x / y)) != z | K(y,x / y) = z. ((x * y) * L(y,z,u)) \ (y * (x * L(y,z,u))) != w | K(y,x * L(y,z,u)) = w. (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,(x \ y) \ y) = u. ((x / y) \ x) * z != u | y * z = u. x * (((y / x) \ y) \ z) = z. (x \ x) \ y = y. T(x * y,z) = L(T((x \ 1) \ y,z),x \ 1,x). L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z). R(x * y,z,u) = L(R((x \ 1) \ y,z,u),x \ 1,x). L(R((x \ 1) \ y,z,u),x \ 1,x) = R(x * y,z,u). x * y != L(T((z \ 1) \ u,w),z \ 1,z) | x \ T(z * u,w) = y. x \ T(x * y,z) = (x \ 1) * T((x \ 1) \ y,z). (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). ((x \ 1) \ y) * (x \ 1) = x \ T(x * y,x \ 1). x \ T(x * y,x \ 1) = ((x \ 1) \ y) * (x \ 1). (x \ 1) \ (x \ T(x * y,z)) = T((x \ 1) \ y,z). (x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). L(T(x \ T(y,z),u),x,z) = T((z * x) \ (y * z),u). L(T(x \ y,z),x,u / y) = T(((u / y) * x) \ u,z). T(((x / y) * z) \ x,u) = L(T(z \ y,u),z,x / y). (x * y) * T((x * y) \ z,u) != w | x * (y * T(y \ (x \ z),u)) = w. (x * R(x \ y,z,u)) / x = R(y / x,z,u). R(x / (x / y),z,u) * (x / y) = (x / y) * R(y,z,u). R(R(x / y,y,z),u,w) * (y * z) = (y * z) * R((y * z) \ (x * z),u,w). T(x / (x / y),(z / (x / y)) \ z) = y. x != (y \ 1) * T((y \ 1) \ 1,z) | x = y \ T(y,z). T(1 / (x \ 1),y) * (x \ 1) = x \ T(x,y). (x * T(x \ y,z)) / x = T(y / x,z). x != T((y * z) / (u * z),w) * (u * z) | x = (T(y / u,w) * u) * z. (x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y. (x * T(x \ y,z)) / x != u | u = T(y / x,z). (x * T(x \ y,z)) / x != u | T(y / x,z) = u. (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. 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 * 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) * 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) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. (x * T(x \ 1,y)) * z != (u * x) * T((u * x) \ u,y) | T(u,x * T(x \ 1,y)) = z. T(x,x * T(x \ 1,y)) = x. (x * 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. T(x,(x \ 1) * x) = x. T(x,K(x \ 1,x)) = x. T(x \ 1,x \ T(x,y)) = x \ 1. R(x,x \ 1,x) = T(x,x \ 1). R(x,x \ 1,x) != y | (x \ 1) \ 1 = y. (x \ 1) \ 1 = x / K(x \ 1,x). x / K(x \ 1,x) = (x \ 1) \ 1. ((x \ 1) \ 1) * K(x \ 1,x) = x. ((x \ 1) \ 1) \ x != y | y = K(x \ 1,x). ((x \ 1) \ 1) \ x != y | K(x \ 1,x) = y. T(x,y) * z != x * y | T(y,T(x,y)) = z. T(x,T(y,x)) = y * (T(y,x) \ x). x * (T(x,y) \ y) = T(y,T(x,y)). (x * (T(x,y) \ z)) * u != x * z | T(T(x,y),x * (T(x,y) \ z)) = u. T(T(x,y),x * (T(x,y) \ z)) = (x * (T(x,y) \ z)) \ (x * z). T(x,y) \ (x * z) != u | u = x * (T(x,y) \ z). T(x,y) \ (x * z) != u | x * (T(x,y) \ z) = u. T(x,y) \ x != z | x * (T(x,y) \ 1) = z. T(x,y) * (x \ (T(x,y) \ z)) != u | u = x \ z. T(x,y) * (x \ (T(x,y) \ z)) != u | x \ z = u. x * (T(x,y) \ (x \ z)) != u | u = T(x,y) \ z. x * (T(x,y) \ (x \ z)) != u | T(x,y) \ z = u. T(x,y) * (x \ (T(x,y) \ z)) != u * w | u \ (x \ z) = w. x * (T(x,y) \ z) != u | T(x,y) \ (x * z) = u. 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) \ ((x \ (x * y)) * x) = K(y,x). 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). x \ (y * z) != u | L((y \ x) \ z,y \ x,y) = u. x \ L(L(y,x \ 1,x),z,u) != (x \ 1) * w | L(y,z,u) = w. x \ L(x * y,z,u) = (x \ 1) * L((x \ 1) \ y,z,u). (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). (1 / T(x,y)) \ (x / T(x,y)) = x. (1 / T(x,y)) * x != z | z = x / T(x,y). (1 / T(x,y)) * x != z | x / T(x,y) = z. ((x / y) * T(y,z)) / (x / y) = T(x / (x / y),z). T(x / y,z) * y != u | u = y * T(y \ x,z). T(x / y,z) * y != u | y * T(y \ x,z) = u. L(T(x / y,z),u,w) * y != v5 | y * L(T(y \ x,z),u,w) = v5. T(T(x / y,z),y) != u | u = T(y \ x,z). T(T(x / y,z),y) != u | T(y \ x,z) = u. (x \ 1) \ (x \ T(y,z)) = T((x \ 1) \ (x \ y),z). x * y != (z \ 1) * T((z \ 1) \ (z \ u),w) | (z \ T(u,w)) / y = x. (x \ T(y,z)) / (x \ 1) = T((x \ y) / (x \ 1),z). x * T(x \ 1,x) != y | K(x \ 1,x) = y. x * y != R(z,u,w) * x | y = R(T(z,x),u,w). 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 \ z) \ z) != u | x * T(y,y \ z) = u. (x / ((y \ z) \ z)) * T(y,y \ z) = x. x * T(y,y \ z) = ((x * ((y \ z) \ z)) * u) / u. ((x * ((y \ z) \ z)) * u) / u = x * T(y,y \ z). x * T(y,y \ z) != u | u = x * ((y \ z) \ z). x * T(y,y \ z) != u | x * ((y \ z) \ z) = u. (x / T(y,y \ z)) * ((y \ z) \ z) = x. x != (y * z) \ (z * y) | x = K(z,y). L(x \ T(x,y),x,y) = K(x,y). L(x \ T(y * x,y),x,y) = y. L(x \ T(x,y),x,y) != z | K(x,y) = z. x != R(R(y / z,z,u),w,v5) * (z * u) | x = (z * u) * R((z * u) \ (y * u),w,v5). (R(x / y,z,u) * y) * w = (y * w) * R((y * w) \ (x * w),z,u). (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. (x * y) * R(y,z,u) = (x * R(x \ (x * y),z,u)) * y. (x * R(x \ (x * y),z,u)) * y = (x * y) * R(y,z,u). (x * R(y,z,u)) * y = (x * y) * R(y,z,u). x * y = ((x / R(y,z,u)) * y) * R(y,z,u). ((x / R(y,z,u)) * y) * R(y,z,u) = x * y. x != ((1 / y) * y) * z | x = z. ((1 / x) * R(x,y,z)) * x = R(x,y,z). (x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y. (x * R(y,z,u)) / y = (x / y) * R(y,z,u). R(x,y,z) / x = (1 / x) * R(x,y,z). (1 / x) * R(x,y,z) = R(x,y,z) / x. R(x \ 1,y,z) / (x \ 1) = x * R(x \ 1,y,z). ((x / y) * R(y,z,u)) \ (x * R(y,z,u)) = y. x / R(x,y,z) = (1 / R(x,y,z)) * x. (1 / R(x,y,z)) * x = x / R(x,y,z). (x / R(x,y,z)) / x = 1 / R(x,y,z). 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 \ y) != z | x = z. x \ (x * y) != z | y = z. 1 \ x != y | x = y. x * ((x \ y) * T(z,y)) = L(z,x \ y,x) * y. x * L(T(y,x),z,u) != w * v5 | w \ (L(y,z,u) * x) = v5. R(x,y,z) * (y * z) != u * w | u \ ((x * y) * z) = w. (x * y) * T((x * y) \ z,u) != w * v5 | w \ (x * (y * T(y \ (x \ z),u))) = v5. T(x \ y,T(x,x \ y)) != z | T(x,x \ y) \ y = z. 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 * ((x \ y) * z)) * K(L(z,x \ y,x),y) = (y \ (x * ((x \ y) * z))) * y. x \ ((x * y) * (L(y \ 1,y,x) * z)) = L(z,(x * y) \ x,x * y). (x * (y * T(y \ 1,z))) * y = (x * y) * (y * T(y \ 1,z)). (x * L(y,z,u)) / y != w | w = (x / y) * L(y,z,u). (x * L(y,z,u)) / y != w | (x / y) * L(y,z,u) = w. (1 / x) * y = L(x \ y,x,1 / x). L(x \ y,x,1 / x) = (1 / x) * y. x * (y * (y \ 1)) != z | x = z. 1 / x = L(x \ 1,x,1 / x). L(x \ 1,x,1 / x) = 1 / x. (1 / x) \ L(y,x,1 / x) != z | z = x * y. (1 / x) \ L(y,x,1 / x) != z | x * y = z. (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). R(x,y,z) * u != R(x,y,z) / x | T(1 / x,R(x,y,z)) = u. T(1 / x,R(x,y,z)) = R(x,y,z) \ (R(x,y,z) / x). R(x,y,z) \ (R(x,y,z) / x) = T(1 / x,R(x,y,z)). L(R(x,y,z) \ u,R(x,y,z),1 / x) = (R(x,y,z) / x) \ ((1 / x) * u). R(x,y,z) / x != R(x,y,z) * u | T(1 / x,R(x,y,z)) = u. 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). T(x \ 1,y) / (x \ 1) != z | x * T(x \ 1,y) = 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) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). (x * (y * z)) * ((u * (((x * y) * L(z,y,x)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). x * L(((x / y) * y) \ z,u,w) = (x / y) * (y * L(y \ ((x / y) \ z),u,w)). (x / y) * (y * L(y \ ((x / y) \ z),u,w)) = x * L(((x / y) * y) \ z,u,w). K(x \ 1,x) * L(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). (x * (y * z)) * R(((x * y) * L(z,y,x)) \ (x * y),u,w) = (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)). (x * y) * R((y * T(x,y)) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)). x / x != y * z | 1 / z = y. (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). ((x * y) / x) * (y * z) = (x \ (x * y)) * (((x * y) / x) * z). (x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z). x * (((y * x) / y) * z) = ((y * x) / y) * (x * z). ((x * y) / x) * (y * z) = y * (((x * y) / x) * z). x \ ((y * x) / y) = ((y * x) / y) * (x \ 1). ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). x \ (((y * x) / y) * z) = ((y * x) / y) * (x \ z). ((x * y) / x) * 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 * x) / u) * u | T(z,x) = y. T(x * y,x) = (((x * y) * x) / (x * y)) * y. (((x * y) * x) / (x * y)) * y = T(x * y,x). L(x,((y * z) / y) \ z,(y * z) / y) = ((y * z) / y) * (z \ ((((y * z) / y) \ z) * x)). ((x * y) / x) * (y \ ((((x * y) / x) \ y) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). T(x * y,x) / y = ((x * y) * x) / (x * y). ((x * y) * x) / (x * y) = T(x * y,x) / y. T(T(x * y,x) / y,x * y) = x. T(T(x * y,x) / y,y) = R(x,y,T(x,y)). x \ T(y * x,y) = R(y,x,T(y,x)). R(x,y,T(x,y)) != z | y \ T(x * y,x) = z. x * R(y,x,T(y,x)) = T(y * x,y). T(x,y) = ((x * y) / x) * (y \ x). ((x * y) / x) * (y \ x) = T(x,y). 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 \ y) * z != T(y,x) | T((y * x) / y,x \ y) = z. T((x * y) / x,y \ x) = (y \ x) \ T(x,y). T(x,y) / (y \ x) = (x * y) / x. ((x * y) / x) \ T(x,y) = y \ x. ((x * (x / y)) / x) * y = T(x,x / y). ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x) = T(x,R(y,y \ 1,x)). (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. K(x \ 1,x) * L(x \ y,x,x \ 1) = (x \ 1) * y. T(x \ (y * z),u) = L(T((y \ x) \ z,u),y \ x,y). L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). R(x \ (y * z),u,w) = L(R((y \ x) \ z,u,w),y \ x,y). L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). (x * (y \ (z * u))) / x = L((x * ((z \ y) \ u)) / x,z \ y,z). L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. x * T(x \ (y * z),u) = y * ((y \ x) * T((y \ x) \ z,u)). x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). x \ (y * T(y \ (x * z),u)) = (x \ y) * T((x \ y) \ z,u). x \ ((y \ (x * z)) * y) = (x \ y) * T((x \ y) \ z,y). (x \ y) * T((x \ y) \ z,y) = x \ ((y \ (x * z)) * y). x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). x \ (y * T(y \ x,z)) = (x \ y) * T((x \ y) \ 1,z). (x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). x \ ((y \ x) * y) = (x \ y) * T((x \ y) \ 1,y). (x \ y) * T((x \ y) \ 1,y) = x \ ((y \ x) * y). x * K((x \ y) \ 1,x \ y) = y * T(y \ x,x \ y). x * T(x \ y,y \ x) = y * K((y \ x) \ 1,y \ x). x != (y * z) \ ((y \ (y * z)) * y) | x = K(z,y). ((x * y) \ x) * T(((x * y) \ x) \ 1,x) = K(y,x). x * y != (z * u) \ ((z \ (z * u)) * z) | x \ K(u,z) = y. ((x * y) \ x) \ K(y,x) = T(((x * y) \ x) \ 1,x). T(((x * y) \ x) \ 1,x) = ((x * y) \ x) \ K(y,x). x * R(x \ (y * z),u,w) = y * ((y \ x) * R((y \ x) \ z,u,w)). x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w). x * y != (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). x \ (y * R(y \ (x * z),u,w)) = (x \ y) * R((x \ y) \ z,u,w). x * y != (z * u) * R((z * u) \ (w * u),v5,v6) | x \ ((z * R(z \ w,v5,v6)) * u) = y. x \ ((y * R(y \ x,z,u)) * w) = (x \ (y * w)) * R((x \ (y * w)) \ w,z,u). (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). 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 != y * R(T(z,y),u,w) | x = R(z,u,w) * y. x * (R(x,y,z) * (x \ u)) = R(x,y,z) * u. x * y != z * R(T(u,z),w,v5) | (R(u,w,v5) * z) / y = x. (R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x. x * y != z * R(T(u,z),w,v5) | x \ (R(u,w,v5) * z) = y. x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u). (R(x,y,z) * (x \ u)) * w != R(x,y,z) * u | T(x,R(x,y,z) * (x \ u)) = w. T(x,R(x,y,z) * (x \ u)) = (R(x,y,z) * (x \ u)) \ (R(x,y,z) * u). (R(x,y,z) * (x \ u)) \ (R(x,y,z) * u) = T(x,R(x,y,z) * (x \ u)). x * y != z * 1 | x \ z = y. x \ R(x,y,z) = R(x,y,z) * (x \ 1). R(x,y,z) * (x \ 1) = x \ R(x,y,z). x * (R(x,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). 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. R(x,y,z) \ (x * (R(x,y,z) * u)) = x * u. x * y != z * (u * (u \ w)) | (z * w) / y = x. (x * y) / (x * (R(x,z,u) \ y)) = R(x,z,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) \ (x * u) != w | w = x * (R(x,y,z) \ u). R(x,y,z) \ (x * u) != w | x * (R(x,y,z) \ u) = w. (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). (x * R(y,z,u)) / x = R((x * y) / x,z,u). x * y != R((z * u) / z,w,v5) * z | (z * R(u,w,v5)) / y = x. ((x * y) * R(z,x,y)) / y = (((x * y) * z) / (x * y)) * x. R(x,y,z) * x = x * R(x,y,z). (((x * y) * z) / (x * z)) * x = x * R(y,x,z). (x * R(x,y,z)) / x = R(x,y,z). ((x / y) * R(y,z,u)) / (x / y) = R(x / (x / y),z,u). ((x * y) * R(L(z,y,x),u,w)) / (x * y) = R((x * (y * z)) / (x * y),u,w). ((x * R(y,z,u)) / x) * (z * u) = (((x * y) / x) * z) * u. R((x * y) / x,z,u) * x != w | w = x * R(y,z,u). R((x * y) / x,z,u) * x != w | x * R(y,z,u) = w. ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. (((x * y) / 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. x * y != x * R(z,x,u) | T(((x * z) * u) / (x * u),x) = y. T(((x * y) * z) / (x * z),x) = R(y,x,z). (x / (y * x)) * y = y * R(y \ 1,y,x). T((x * y) / (z * y),z) = R(z \ x,z,y). T(x / (y * x),y) = R(y \ 1,y,x). T(x / (y * z),y) = R(y \ (x / z),y,z). R(x \ (y / z),x,z) = T(y / (x * z),x). T((x * y) / z,z / y) = R((z / y) \ x,z / y,y). R((x / y) \ z,x / y,y) = T((z * y) / x,x / y). T(R(x \ y,x,z),x * z) != u | T((x * z) \ (y * z),x) = u. T((x * y) \ (z * y),x) = R(T(x \ z,x * y),x,y). R(T(x \ y,x * z),x,z) = T((x * z) \ (y * z),x). R(1 / x,x,x \ y) = (x \ y) / y. R(1 / (x / y),x / y,y) = y / x. 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(R(1 / x,x,y),x * y,z) = (y * z) / ((x * y) * z). (x * (y / (z * y))) / x = R((x * (1 / z)) / x,z,y). R((x * (1 / y)) / x,y,z) = (x * (z / (y * z))) / x. x * y != z * (u * (u \ w)) | T(x,y) = y \ (z * 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)). 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). 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(x * T(x \ (y / z),u),z) = z \ (x * (z * T(z \ (x \ y),u))). x \ (y * (x * T(x \ (y \ z),u))) = T(y * T(y \ (z / x),u),x). ((x \ (y / z)) * x) * z = x * (z * T(z \ (x \ y),x)). x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. (x \ T(x * (y / z),u)) * z = (x \ 1) * (z * T(z \ ((x \ 1) \ y),u)). (x \ 1) * (y * T(y \ ((x \ 1) \ z),u)) = (x \ T(x * (z / y),u)) * y. x * (y * T(y \ 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 \ y) * x) * (y \ x) = x * ((y \ x) * T((y \ x) \ 1,x)). x * ((y \ x) * T((y \ x) \ 1,x)) = ((x \ y) * x) * (y \ x). L(x,y,z / y) * z = (z / y) * (y * T(x,z)). (x / y) * (y * T(z,x)) = L(z,y,x / y) * x. x * y != z * (u * (u \ x)) | T(z,x) = y. T(x / y,x) = L(y \ x,y,x / y). L(x \ y,x,y / x) = T(y / x,y). T(x,y) \ 1 = T((T(x,y) \ x) / x,x). T((T(x,y) \ x) / x,x) = T(x,y) \ 1. (T(x,y) \ x) / (T(x,y) \ 1) = x. x \ (y * R(y \ x,z,u)) = (x \ y) * R((x \ y) \ 1,z,u). (x \ y) * R((x \ y) \ 1,z,u) = x \ (y * R(y \ x,z,u)). T(x,x / y) / y = (x * (x / y)) / x. R(x,1 / y,y) = (x * (1 / y)) * y. (x * (1 / y)) * y = R(x,1 / y,y). K(x \ 1,x) \ 1 = K(x,x \ 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 * w))) / u) | x = y * (z * ((u * (z \ w)) / u)). (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * ((y * z) * ((u * ((y * z) \ y)) / u)). (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * (y * (z * ((u * (z \ 1)) / u))). L(x * ((y * (x \ 1)) / y),z,u) = L(x,z,u) * ((y * (L(x,z,u) \ 1)) / y). L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) = L(x * ((u * (x \ 1)) / u),y,z). (x * y) \ (x * (y * (z * ((u * (z \ 1)) / u)))) = L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u). 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)). (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)) * (z \ y) = (x * (z \ y)) * (y / z). (x * ((y * z) / y)) * z = (x * (y \ (y * z))) * ((y * z) / y). (x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z. (x * y) * ((z * y) / z) = (x * ((z * y) / z)) * y. (x * ((y * z) / y)) * z = (x * z) * ((y * z) / y). (x * y) / ((z * y) / z) = (x / ((z * y) / z)) * y. ((x * y) / x) / y = (1 / y) * ((x * y) / x). (1 / x) * ((y * x) / y) = ((y * x) / y) / x. ((x * (y \ 1)) / x) / (y \ 1) = y * ((x * (y \ 1)) / x). x / ((y * x) / y) = (1 / ((y * x) / y)) * x. (1 / ((x * y) / x)) * y = y / ((x * y) / x). (x * (y \ z)) / (z / y) = (x / (z / y)) * (y \ z). (x \ y) / (y / x) = (1 / (y / x)) * (x \ y). (1 / (x / y)) * (y \ x) = (y \ x) / (x / y). T(1 / (x / y),y \ x) = (y \ x) \ ((y \ x) / (x / y)). (x \ y) \ ((x \ y) / (y / x)) = T(1 / (y / x),x \ y). (1 / (x / (x / y))) * y = ((x / y) \ x) / (x / (x / y)). ((x / y) \ x) / (x / (x / y)) = (1 / (x / (x / y))) * y. (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 * ((y * x) \ y)) / x = L(1 / x,x,y). (x * K(x,y)) / x = L(T(x,y) / x,x,y). L(T(x,y) / x,x,y) = (x * K(x,y)) / x. 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. L((T(x,y) * (x \ y)) / y,y,x) = (y * K(T(x,y),y)) / y. x * y != (z * x) * L((z * x) \ (u * x),w,v5) | T(z * L(z \ u,w,v5),x) = y. T(x * L(x \ y,z,u),x) = x * L(x \ (x \ (y * x)),z,u). x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). x != (y * 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) * 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) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. (x * y) * L((x * y) \ (z * y),u,w) != y * v5 | T(x * L(x \ z,u,w),y) = v5. (x * L(x \ 1,y,z)) * u != (w * x) * L((w * x) \ w,y,z) | T(w,x * L(x \ 1,y,z)) = u. T(x,x * L(x \ 1,y,z)) = x. x * y != (z * x) * L((z * x) \ x,u,w) | T(z * L(z \ 1,u,w),x) = y. T(x * L(x \ 1,y,z),x) = x * L(x \ 1,y,z). (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 * ((x * y) * L((x * y) \ y,z,u)) = (x * L(x \ 1,z,u)) * (x * y). (x * y) * R((x * y) \ (x * z),u,w) != v5 | x * (y * R(y \ z,u,w)) = v5. 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 * y) \ (x * (y * (z * R(z \ 1,u,w)))) = L(z,y,x) * R(L(z,y,x) \ 1,u,w). (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. (1 / x) \ T(1 / x,y) = x * T(x \ 1,y). T(x / y,z) * u != (x / y) * (y * T(y \ x,z)) | u = x. x * 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(y,x) \ ((y * x) / y). T(x,y) \ ((x * y) / x) = T(y / x,T(x,y)). L(x,x \ 1,x) != y | x * K(x \ 1,x) = y. T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y). (x * (y \ (y / z))) / x = L((x * (z \ 1)) / x,z,y / z). L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x. T(1 / x,y) = L(T(x \ 1,y),x,1 / x). L(T(x \ 1,y),x,1 / x) = T(1 / x,y). x * T(x \ (x / y),z) = (x / y) * (y * T(y \ 1,z)). (x / y) * (y * T(y \ 1,z)) = x * T(x \ (x / y),z). (x / y) \ ((x \ (x / y)) * x) = y * T(y \ 1,x). (x / y) * K(y \ 1,y) = x * T(x \ (x / y),y). x * T(x \ 1,y) = K(y \ (y / x),y). K(x \ (x / y),x) = y * T(y \ 1,x). x * y != z \ ((u \ z) * u) | x \ K(u \ z,u) = y. x \ K(y \ (y / x),y) = T(x \ 1,y). x != (y \ z) * T((y \ z) \ 1,u) | x = y \ (z * T(z \ y,u)). K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). K(x \ (x / (y \ 1)),x) = y \ T(y,x). x * y != z * T(z \ 1,u) | K(u \ (u / z),u) / y = x. K(x \ (x / y),x) / y = T(1 / y,x). x * K(y \ (y / (x \ z)),y) = z * T(z \ x,y). x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ (x \ x),y)). ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ 1,y)). ((x / y) * K(y \ 1,y)) * y = x * K(y \ 1,y). x * y != z * K(y \ z,y) | x = y \ z. (1 / x) * K(x \ 1,x) = x \ 1. (x * K(y \ 1,y)) * y = (x * y) * K(y \ 1,y). (1 / x) \ (x \ 1) = K(x \ 1,x). (x \ 1) * L(y,K(x \ 1,x),1 / x) = (1 / x) * (K(x \ 1,x) * y). (x * (1 / y)) * K(y \ 1,y) != z * (y \ 1) | R(x,1 / y,K(y \ 1,y)) = z. x != (y \ 1) * T((y \ 1) \ (y \ z),u) | x = y \ T(z,u). (x \ y) * K(z \ (z / ((x \ y) \ (x \ 1))),z) = x \ T(y,z). x * T(y,z) = (x * y) * K(z \ (z / ((x * y) \ x)),z). (x * y) * K(z \ (z / ((x * y) \ x)),z) = x * T(y,z). (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u). K(x \ (x / ((y / x) \ 1)),x) = (y / x) \ (x \ y). K(x \ (x / (((x * y) / x) \ 1)),x) = ((x * y) / x) \ y. x * ((y * 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 * y) * (L(z,y,x) * T(L(z,y,x) \ 1,u)) = x * (y * (z * T(z \ 1,u))). 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,y),z,u) = K(y \ (y / L(x \ 1,z,u)),y). L(x \ 1,y,z) \ K(x \ 1,x) = (x \ 1) * (L(x \ 1,y,z) \ x). T(L(x \ 1,x,y) \ 1,y) = ((y * x) \ y) \ K(x,y). K(1,x) = 1. 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) * (x \ z) != u | (x \ z) * T((x \ z) \ z,y) = u. (x * y) \ z != u | L(y \ (x \ z),y,x) = u. 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 / L(y,1 / y,x) = x * (1 / y). (x * y) * T(L(y \ 1,y,x),x) = (L(y \ 1,y,x) * x) / L(y \ 1,y,x). (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = (y * x) * T(L(x \ 1,x,y),y). x != (y * 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))). x != (1 / y) * (y * z) | x = L(z,y,1 / y). ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = L(x * T(x \ 1,y),y,1 / y). (x * (y * T(y \ 1,x))) / x = L(y * T(y \ 1,x),x,1 / x). L(x * T(x \ 1,y),y,1 / y) = (y * (x * T(x \ 1,y))) / y. L(K(x,y),y,1 / y) = (y * (((y * x) \ y) * T(((y * x) \ y) \ 1,y))) / y. (x * (((x * y) \ x) * T(((x * y) \ x) \ 1,x))) / x = L(K(y,x),x,1 / x). (x * K(y,x)) / x = L(K(y,x),x,1 / x). L(K(x,y),y,1 / y) = (y * K(x,y)) / y. x != y \ (1 * (y * z)) | x = L(z,y,1). x = L(x,y,1). L(x,y,1) = x. x / 1 = L(x,y,1). L(x,y,1) = x / 1. L(x,y,1) != z | z = x. x * y = R(x / (1 / y),1 / y,y). R(x / (1 / y),1 / y,y) = x * 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). x != ((y / z) * z) / u | x = y / u. ((x / (y \ z)) / (z / y)) * (y \ z) = x / (z / y). x \ (x * y) = L(y,1,x). x = L(x,1,y). L(x,1,y) = x. L(x,1,y) != z | z = x. a(x,1,y) = 1. (x * (y \ z)) / x = T((x * (z / y)) / x,y). T((x * (y / z)) / x,z) = (x * (z \ y)) / x. x * ((y * T(z,x)) / y) = ((y * z) / y) * x. T((x * y) / x,z) * x != u | u = x * T(y,z). T((x * y) / x,z) * x != u | x * T(y,z) = u. T(T((x * y) / x,z),x) != u | u = T(y,z). T(T((x * y) / x,z),x) != u | T(y,z) = u. x * ((y * (x \ z)) / y) = ((y * (z / x)) / y) * x. ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). (x \ y) * ((z * ((x \ y) \ y)) / z) = ((z * x) / z) * (x \ y). (x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y. ((x * (y / z)) / x) \ (z * ((x * (z \ y)) / x)) = z. x != ((y * (y / z)) / y) * z | x = T(y,y / z). x * ((y * (x \ y)) / y) = T(y,y / x). x * y != ((z * (z / u)) / z) * u | x \ T(z,z / u) = y. x \ T(y,y / x) = (y * (x \ y)) / y. ((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x). x != (y * z) * ((u * ((y * z) \ y)) / u) | x = y * (z * ((u * (z \ 1)) / u)). T(x,x / (x * y)) = x * (y * ((x * (y \ 1)) / x)). x * (y * ((x * (y \ 1)) / x)) = T(x,x / (x * y)). x * y != z * ((u * (z \ u)) / u) | x \ T(u,u / z) = y. x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x). (x / y) * ((x * y) / x) = T(x,x / (x / y)). (x * y) * L((x \ y) / y,y,x) = T(y,y / (x * y)). (x / T(y,x)) * y = T(x,x / (x / T(y,x))). T(x,x / (x / T(y,x))) = (x / T(y,x)) * y. T(x,x / (x / y)) * y = ((x / y) * y) * ((x * y) / x). ((x / y) * y) * ((x * y) / x) = T(x,x / (x / y)) * y. x * ((x * y) / x) = T(x,x / (x / y)) * y. T(x,x / (x / y)) * y = x * ((x * y) / x). x * y != T(x,z) * u | y = T(x,z) * (x \ u). (x * y) / x = T(x,x / (x / y)) * (x \ y). T(x,x / (x / y)) * (x \ y) = (x * y) / x. T(x,x / (x / T(y,x))) * T(y,x) = x * y. ((x * y) / x) / (x \ y) = T(x,x / (x / y)). x * ((y \ x) \ 1) = R(y,y \ x,(y \ x) \ 1). R(x,x \ y,(x \ y) \ 1) = y * ((x \ y) \ 1). x * (y \ 1) = R(x / y,y,y \ 1). R(x / y,y,y \ 1) = x * (y \ 1). x != R((y * z) / y,u,w) | x = (y * R(z,u,w)) / y. (x * y) * (x \ 1) = (x * R(y,x,x \ 1)) / x. (x * R(y,x,x \ 1)) / x = (x * y) * (x \ 1). T(x * (y \ 1),z) = R(T(x / y,z),y,y \ 1). R(T(x / y,z),y,y \ 1) = T(x * (y \ 1),z). R(x * (y \ 1),z,u) = R(R(x / y,z,u),y,y \ 1). R(R(x / y,z,u),y,y \ 1) = R(x * (y \ 1),z,u). (x * (y * (z \ 1))) / x = R((x * (y / z)) / x,z,z \ 1). R((x * (y / z)) / x,z,z \ 1) = (x * (y * (z \ 1))) / x. R(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(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 != T(R(y,z,u),w) * (z * u) | x = (T(y,w) * z) * u. (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 != y * (z * T(u,z)) | x = y * (u * z). (T(x,K(y,x)) * y) * K(y,x) = y * ((K(y,x) \ x) * K(y,x)). x != R(R(y,z,u),w,v5) * (z * u) | x = (R(y,w,v5) * z) * u. (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). (x * y) / T(L(z,y / T(z,u),x),u) = x * (y / T(z,u)). K((x * (y / z)) \ (x * y),u) = K(L(z,y / z,x),u). K(L(x,y / x,z),u) = K((z * (y / x)) \ (z * y),u). R(x,y,y \ 1) \ (x * y) != z | L((y \ 1) \ 1,y \ 1,x * y) = z. K((x * (y \ z)) \ x,x * (y \ z)) = y \ (z * T(z \ y,x * (y \ z))). K(x \ (x / (y \ (y / z))),x) = y \ ((y / z) * T(z,x)). K(x \ (x / (x \ (x / y))),x) = x \ ((y * x) / y). K((x * y) \ x,x * y) / y = T(1 / y,x * y). x * K(y,y) = x. x * ((y * (x \ (x / z))) / y) = (x / z) * (z * ((y * (z \ 1)) / y)). (x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z). (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). (x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x). x != y \ (z * (y / z)) | x = K(z,y / z). x * ((y * (x \ 1)) / y) = K(y,(y / x) / y). K(x,(x / y) / x) = y * ((x * (y \ 1)) / x). K(x,y / x) = (y \ x) * ((x * ((y \ x) \ 1)) / x). (x \ y) * ((y * ((x \ y) \ 1)) / y) = K(y,x / y). x != (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). T((1 / x) * y,z) = L(T(x \ y,z),x,1 / x). L(T(x \ y,z),x,1 / x) = T((1 / x) * y,z). R((1 / x) * y,z,u) = L(R(x \ y,z,u),x,1 / x). L(R(x \ y,z,u),x,1 / x) = R((1 / x) * y,z,u). (x * ((1 / y) * z)) / x = L((x * (y \ z)) / x,y,1 / y). L((x * (y \ z)) / x,y,1 / y) = (x * ((1 / y) * z)) / x. L(T(x,y) \ 1,x,1 / x) = (1 / x) * (T(x,y) \ x). (x * ((1 / x) * y)) / x = L(y / x,x,1 / x). (1 / x) * (x * T(x \ y,z)) = T((1 / x) * y,z). 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). T((1 / x) * y,x) = (1 / x) * ((x \ y) * x). (1 / x) * ((x \ y) * x) = T((1 / x) * y,x). x * y != (1 / z) * (z * T(z \ u,w)) | T((1 / z) * u,w) / y = x. T((1 / x) * ((1 / x) \ (y * x)),z) / x = (1 / x) * T((1 / x) \ y,z). T(x * y,z) / y = (1 / y) * T((1 / y) \ x,z). (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. T(x,y) / x = (1 / x) * T((1 / x) \ 1,y). (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. x != y * T(y \ 1,z) | x = K(z \ (z / y),z). T(x,y) / x = K(y \ (y / (1 / x)),y). K(x \ (x / (1 / y)),x) = T(y,x) / y. x != y * T(y \ z,u) | x = T(z / y,u) * y. T(x,y) / x = T(1 / (1 / x),y) * (1 / x). T(1 / (1 / x),y) * (1 / x) = T(x,y) / x. T(1 / x,T(x,y) / x) = 1 / x. K(x \ (x / (1 / y)),x) * y = T(y,x). K(T(1 / (1 / x),x \ 1),x \ 1) = T(x,x \ 1) / x. K(x \ (x / (1 / (y / (x * y)))),x) = R(x \ 1,x,y) / (y / (x * y)). ((x * R(1 / y,y,x)) / x) * (y * x) = T(x,R(1 / y,y,x)). (((x * (1 / y)) / x) * y) * x = T(x,R(1 / y,y,x)). (x * ((y * (x \ 1)) / y)) * y = T(y,R(1 / x,x,y)). 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). 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). T(x,y) = R(T(x,y * R(x,z,u)),y,R(x,z,u)). R(T(x,y * R(x,z,u)),y,R(x,z,u)) = T(x,y). (x * R(y,z,u)) * T(y,x) = R(y,x,R(y,z,u)) * (x * R(y,z,u)). R(x,y,R(x,z,u)) * (y * R(x,z,u)) = (y * R(x,z,u)) * T(x,y). (x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u). 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). x * y != ((z / u) * u) * w | T(x,y) = y \ (z * w). T(R(x / y,y,y \ z),z) = z \ (x * (y \ z)). x != R(y,z,u) * w | x = w * R(T(y,w),z,u). (x * y) * (y \ z) = z * R(T(x,z),y,y \ z). x * R(T(y,x),z,z \ x) = (y * z) * (z \ x). x != R(y / z,u,w) * z | x = z * R(z \ y,u,w). ((x / y) * z) * (z \ y) = y * R(y \ x,z,z \ y). x * R(x \ y,z,z \ x) = ((y / x) * z) * (z \ x). x * y != R(z,u,u \ w) * w | x \ ((z * u) * (u \ w)) = y. x \ ((x * y) * (y \ z)) = R(x,y,y \ z) * (x \ z). R(x,y,y \ z) * (x \ z) = x \ ((x * y) * (y \ z)). x \ ((y * z) * (z \ x)) = R(T(y,x),z,z \ x). R(x,y,z) \ (x \ R(x,y,z)) = x \ 1. x != R(y,z,u) * (y \ w) | x = (y \ w) * R((y \ w) \ w,z,u). x \ R(x,y,z) = (x \ 1) * R((x \ 1) \ 1,y,z). (x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). x * y != R(z,u,w) * (z \ 1) | (z \ R(z,u,w)) / y = x. (x \ R(x,y,z)) / R(T(x,x \ 1),y,z) = x \ 1. (x \ R(x,y,z)) * K(x \ 1,R(x,y,z)) = (x \ 1) * R(x,y,z). T(x,R(x,y,z)) = x. T(x / y,x * (y \ 1)) = x / y. x * K(x \ 1,x) != y | L(x,x \ 1,x) = y. x * y != z * ((z \ x) * u) | y = L(u,z \ x,z). T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,T(x,y)). x * K(x \ (x / T(x,y)),x) = T(x,y) * ((T(x,y) \ 1) * x). T(x,y) * ((T(x,y) \ 1) * x) = x * K(x \ (x / T(x,y)),x). (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,R(1 / T(x,y),T(x,y),x)). x * K(x,(x / y) / x) = T(x,x / (x * y)). x * K(x,y / x) = T(x,x / (x * (y \ x))). T(x,x / (x * (y \ x))) = x * K(x,y / x). x / ((1 / y) * y) = x. T(x,y) = T(T(x,y),x). T(T(x,y),x) = T(x,y). T(L(x,y,z),x) = L(x,y,z). (x * y) / x = T((x * y) / x,y). T((x * y) / x,y) = (x * y) / x. x \ ((x * (1 / y)) * y) = a(x,1 / y,y). (x / (1 * y)) * y = x. x * y != z \ (u * (u \ z)) | x \ 1 = y. ((x * y) / x) \ 1 = y \ (((x * y) / x) \ y). x \ (((y * x) / y) \ x) = ((y * x) / y) \ 1. x \ 1 = L(x,y,z) \ (x \ L(x,y,z)). L(x,y,z) \ (x \ L(x,y,z)) = x \ 1. T(x,T(y,x)) != z | T(y,x) \ (y * x) = z. T((x * y) * (x \ 1),x) = R(y,x,x \ 1). T(x * (y \ 1),y) = R(y \ x,y,y \ 1). R(x \ y,x,x \ 1) = T(y * (x \ 1),x). x * ((1 / y) * y) != z * u | x / u = z. K(T(x,y),x) = 1. 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 * 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). K(x,(y * x) / y) = 1. K(x,T(x,y)) = 1. T(x / y,y \ x) = x / y. T(x / (x / y),y) = x / (x / y). (x / ((y / z) * z)) * y = x. T(x,(y * x) / y) = x. T(x,x * (y * T(y \ 1,x))) = x. x / (y * z) != u | R((x / z) / y,y,z) = u. 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). T(x,L(x,y,z)) = x. K(x,L(x,y,z)) = 1. T((x \ 1) \ y,x * y) = (x \ 1) \ y. x * y != L(R(z,u,w),v5,v6) * (u * w) | x \ ((L(z,v5,v6) * u) * w) = y. x \ ((L(y,z,x) * x) * z) = z * T(R(y,x,z),x * z). x * y != L(z,u,z) * u | (u * T(z,z * u)) / y = x. (x * T(y,y * x)) / x = L(y,x,y). L(x,y,x) = T((y * x) / y,x * y). T((x * y) / x,y * x) = L(y,x,y). (x \ y) * T(x,y) = L(x,x \ y,x) * (x \ y). L(x,x \ y,x) * (x \ y) = (x \ y) * T(x,y). T(x,y) * T(y,x * y) = L(y,T(x,y),y) * T(x,y). L(x,T(y,x),x) * T(y,x) = T(y,x) * T(x,y * x). R(T(x,L(x,y,x) * y),y,T(x,x * y)) = T(x,y). ((x \ y) * T(x,y)) / (x \ y) = L(x,x \ y,x). L(x,x \ y,x) = T(((x \ y) * x) / (x \ y),y). T(((x \ y) * x) / (x \ y),y) = L(x,x \ 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 * (((x / z) * z) \ (u * z))) / y) = ((x / z) * ((y * ((x / z) \ u)) / y)) * z. ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (((x / y) * y) \ (u * y))) / z). ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * (y * ((z * (y \ 1)) / z)). (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. (x * y) * (y / (x * y)) = (x * (((x * y) * (x \ 1)) / (x * y))) * y. (x * (((x * y) * (x \ 1)) / (x * y))) * y = (x * y) * (y / (x * y)). (x * ((y * (x \ 1)) / y)) * x = x * (x * ((y * (x \ 1)) / y)). (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). T(x / (x / y),z) * (x / y) != u | u = (x / y) * T(y,z). T(x / (x / y),z) * (x / y) != u | (x / y) * T(y,z) = u. ((x / y) * ((y \ z) \ z)) / (x / y) = T(x / (x / y),y \ z). T((1 / x) * y,x) != (1 / x) * z | (x \ y) * 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 = (z * (z \ x)) \ y. (x * (x \ y)) \ z = y \ z. x * y != (z * (z \ u)) * x | T(u,x) = y. (x * (x \ y)) * z != z * u | T(y,z) = u. (x * (x \ y)) * z != u * w | u \ (y * z) = w. (x * y) * K(((x * y) \ x) \ 1,(x * y) \ x) = x * T(y,(x * y) \ x). L(x,T(y,z),z) * (y * z) = z * (T(y,z) * T(x,y * z)). x * (T(y,x) * T(z,y * x)) = L(z,T(y,x),x) * (y * x). T(x * L(x \ 1,T(x,y),y),y) = T(x,y) * ((x * y) \ y). ((x * y) * z) \ (x * (y * u)) != w | L(z \ L(u,y,x),z,x * y) = w. T((x * y) \ (y * z),u) = L(T(T(x,y) \ z,u),T(x,y),y). L(T(T(x,y) \ z,u),T(x,y),y) = T((x * y) \ (y * z),u). R((x * y) \ (y * z),u,w) = L(R(T(x,y) \ z,u,w),T(x,y),y). L(R(T(x,y) \ z,u,w),T(x,y),y) = R((x * y) \ (y * z),u,w). (x * y) * L((x * y) \ (y * z),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). (x * y) * L((x * y) \ y,z,u) = y * (T(x,y) * L(T(x,y) \ 1,z,u)). x * (T(y,x) * L(T(y,x) \ 1,z,u)) = (y * x) * L((y * x) \ x,z,u). (x * y) * T((x * y) \ (y * z),u) = y * (T(x,y) * T(T(x,y) \ z,u)). T(x * T(x \ y,z),y) = T(x,y) * T(T(x,y) \ y,z). T(x,y) * T(T(x,y) \ y,z) = T(x * T(x \ y,z),y). (x * y) * T((x * y) \ (y * x),x) = y * L(x,T(x,y) \ x,T(x,y)). (x * y) * T(K(y,x),x) = y * L(x,T(x,y) \ x,T(x,y)). x * L(y,T(y,x) \ y,T(y,x)) = (y * x) * T(K(x,y),y). (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). T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y). R(R(1 / x,x,x \ y),y,z) = ((x \ y) * z) / (y * z). T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y). x * T(x \ (y \ x),z) = (T(1 / y,z) * y) * (y \ x). (T(1 / x,y) * x) * (x \ z) = z * T(z \ (x \ z),y). (x * T(x \ 1,y)) * (x \ z) = z * T(z \ (x \ z),y). (x \ T(x,y)) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). (x * T(x \ 1,y)) * (x \ y) = (y \ (x \ y)) * y. (x \ (y \ x)) * x = (y * T(y \ 1,x)) * (y \ x). (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 \ y) * z != (y \ (x \ y)) * y | T(x * T(x \ 1,y),x \ y) = z. T(x * T(x \ 1,y),x \ y) = K(y \ (x \ y),y). x != ((y * (z / u)) / y) * u | x = u * ((y * (u \ z)) / y). R((x * (y / z)) / x,z,z \ 1) / (z \ 1) = z * ((x * (z \ y)) / x). x * y != R(z,y,y \ 1) / (y \ 1) | x = z. R(x,y,y \ 1) / (y \ 1) != z * y | z = x. 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. x * L(x \ T(y,x),z,u) = T(x * L(x \ y,z,u),x). x \ T(x * L(x \ y,z,u),x) = L(x \ T(y,x),z,u). x * ((T(y,x) \ z) \ z) != u * x | T(y,T(y,x) \ z) = u. x / (y \ x) != z * u | z \ y = u. x * (y / (z \ y)) != u | x * z = u. (x * (x \ y)) \ z != u | u = y \ z. (x * (x \ y)) \ z != u | y \ z = u. (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 * ((x / y) / x)) * y = T(x,x / (x * y)). T(x,x / (x * y)) != z | (x * ((x / y) / 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)). ((1 / x) \ y) * (1 / x) = T(y * x,1 / x) / x. T(x * y,1 / y) / y = ((1 / y) \ x) * (1 / y). x != y * T(y \ z,u) | x = z * K(u \ (u / (z \ y)),u). T(x * y,z) / y = x * K(z \ (z / (x \ (1 / y))),z). (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 / x),z) = T(y,z) / x. T(x * y,1 / y) / y != z | ((1 / y) \ x) * (1 / y) = z. x * (T((x \ y) * z,x) / z) = ((x \ (y / (1 / z))) * x) * (1 / z). ((x \ (y / (1 / z))) * x) * (1 / z) = x * (T((x \ y) * z,x) / z). (x * (y * x)) / x != z | z = y * T(x,y * x). (x * (y * x)) / x != z | y * T(x,y * x) = z. (x * ((y / z) / x)) * z = x * (z * ((x * (z \ (x \ y))) / x)). x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y. x != (y * z) * ((u * ((y * z) \ z)) / u) | x = (y * ((u * (y \ 1)) / u)) * z. x * (y * ((z * (y \ (x \ y))) / z)) = (x * ((z * (x \ 1)) / z)) * y. x != (y * z) * ((u * ((y * z) \ (w * z))) / u) | x = (y * ((u * (y \ w)) / u)) * z. x * (y * ((z * (y \ (x \ (u * y)))) / z)) = (x * ((z * (x \ u)) / z)) * y. (x \ y) \ (y / x) = (y / x) * ((x \ y) \ 1). (x / y) * ((y \ x) \ 1) = (y \ x) \ (x / y). (x / y) \ (y \ x) = (y \ x) * ((x / y) \ 1). (x \ y) * ((y / x) \ 1) = (y / x) \ (x \ y). (x / (x / y)) * (y \ 1) = ((x / y) \ x) \ (x / (x / y)). ((x / y) \ x) \ (x / (x / y)) = (x / (x / y)) * (y \ 1). x \ (y / (y / x)) = (y / (y / x)) * (x \ 1). (x / (x / y)) * (y \ 1) = y \ (x / (x / y)). x != (1 / (y / z)) * (z \ y) | x = (z \ y) / (y / z). x \ (1 / (1 / x)) = (x \ 1) / (1 / x). (x \ 1) / (1 / x) = x \ (1 / (1 / x)). x \ T(x,y) != z | T(x,y) * (x \ 1) = z. x != L(L(y,z,u),w,v5) | x = L(L(y,w,v5),z,u). (x * (y * z)) \ (x * y) = L(L(z \ 1,y * z,x),z,y). L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y). x * y != L(R((z \ 1) \ u,w,v5),z \ 1,z) | x \ R(z * u,w,v5) = y. x \ R(x * y,z,u) = (x \ 1) * R((x \ 1) \ y,z,u). (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u). 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 != T(y / z,u) * z | x = z * T(z \ y,u). T(x * (y \ 1),z) / (y \ 1) = y * T(y \ x,z). T(x * (y \ 1),z) / (y \ 1) != u | y * T(y \ x,z) = u. 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 * T(y,z)) * (x \ 1) = T((x * y) * (x \ 1),z). ((x \ y) * x) * (x \ 1) = T(y * (x \ 1),x). R(x,1 / x,x) = T(x,1 / x). R(x,(x * T(x \ 1,y)) / x,x) = T(x,(x * T(x \ 1,y)) / x). T(x * y,z) = R(T(x / (1 / y),z),1 / y,y). R(T(x / (1 / y),z),1 / y,y) = T(x * y,z). (x * (y * z)) / x = R((x * (y / (1 / z))) / x,1 / z,z). R((x * (y / (1 / z))) / x,1 / z,z) = (x * (y * z)) / x. x * y != 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 * (x * y)) / x) / y = T(x,x / (1 / y)). ((x * (1 / (1 / y))) / x) * (1 / y) = ((x * y) / x) / y. ((x * y) / x) / (x \ y) = T(x,x / (1 / (x \ y))). T(x,x / (1 / (x \ y))) = ((x * y) / x) / (x \ y). x != ((y * z) / y) / (y \ z) | x = T(y,y / (y / z)). T(x,x / (1 / (x \ y))) = T(x,x / (x / y)). T(x,x / (1 / y)) = T(x,x / (x / (x * y))). T(x,x / (x / (x * y))) = T(x,x / (1 / y)). T((x * y) / z,u) = R(T(x / (z / y),u),z / y,y). R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). R((x * y) / z,u,w) = R(R(x / (z / y),u,w),z / y,y). R(R(x / (y / z),u,w),y / z,z) = R((x * z) / y,u,w). 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. R(x,y,z) / ((x \ 1) \ 1) = (x \ 1) * R(x,y,z). T(x,y) / x != z | (1 / x) * T((1 / x) \ 1,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). (x * y) * L(T(y,x),z,u) = (L(y,z,u) * x) * y. L(T(x,1 / x),y,z) / x = L(x,y,z) * (1 / x). T(x,y) / x != z | (1 / x) * T(x,y) = z. T(x,x * K(y,x)) = x. T(x,x * (y \ (z * T(z \ y,x)))) = x. x * ((y * ((x * (y \ 1)) / x)) * (x \ z)) = (x * ((z / (y * (x \ z))) / x)) * (y * (x \ z)). (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((z * ((x * (z \ 1)) / x)) * (x \ y)). ((x / y) \ x) * (y \ z) = z. ((x * y) \ x) * (L(y \ 1,y,x) \ z) = z. T(x,(y * z) \ y) = L(z \ 1,z,y) \ (x * ((y * z) \ y)). L(x \ 1,x,y) \ (z * ((y * x) \ y)) = T(z,(y * x) \ y). ((x * y) \ x) \ z = L(y \ 1,y,x) \ z. L(x \ 1,x,y) \ z = ((y * x) \ y) \ z. ((x * y) \ x) \ z != u | u = L(y \ 1,y,x) \ z. ((x * y) \ x) \ z != u | L(y \ 1,y,x) \ z = u. L(x \ 1,x,y) != z | (y * x) \ y = z. x / (y / (y / x)) = (1 / (y / (y / x))) * x. (1 / (x / (x / y))) * y = y / (x / (x / y)). (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 * ((x \ y) / y)) = T(y,y / (x * y)). T(x,x / (y * x)) != z | y * (x * ((y \ x) / x)) = z. 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) * R((y * z) \ (u * z),w,v5) | x = (y * R(y \ u,w,v5)) * z. x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y. K(x \ 1,x) * R(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). x * (y * R(y \ (x \ y),z,u)) = (x * R(x \ 1,z,u)) * y. x * ((x * y) * R((x * y) \ y,z,u)) = (x * R(x \ 1,z,u)) * (x * y). R(x,y,z) * (z * R(z \ (y * z),u,w)) = (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z. (x * y) \ (y * T(x,y / x)) = a(x,y / x,x). x / ((y \ z) \ z) = x / T(y,y \ z). x / T(y,y \ z) = x / ((y \ z) \ z). (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)). (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. 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 \ 1) * (x \ T(x,y)) = (x \ T(x,y)) * (x \ 1). (x \ T(x,y)) * (x \ 1) = (x \ 1) * (x \ T(x,y)). (x \ 1) * y != (x \ 1) * (x \ T(x,z)) | T(x \ T(x,z),x \ 1) = y. T(x \ T(x,y),x \ 1) = x \ T(x,y). x != ((y * z) / y) * (z \ 1) | x = z \ ((y * z) / y). (x \ 1) * ((y * ((x \ 1) \ 1)) / y) = x \ ((y * x) / y). x != y * ((z * (y \ 1)) / z) | x = K(z,(z / y) / z). x \ ((y * x) / y) = K(y,(y / (x \ 1)) / y). K(x,(x / (y \ 1)) / x) = y \ ((x * y) / x). x * K(y,(y / (x \ 1)) / y) = (y * x) / y. K(R(x,y,z),(R(x,y,z) / ((x \ 1) \ 1)) / R(x,y,z)) = (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)). K(x,(x / ((T(x,y) \ 1) \ 1)) / x) = (T(x,y) \ 1) \ ((T(x,y) \ x) / 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. 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). 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). K(x \ 1,x) * R(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). x != y * (z * R(z \ (y \ (u * z)),w,v5)) | 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) * R(K(x \ 1,x) \ (y * x),z,u) = (x \ R(x * y,z,u)) * x. x * ((y * (x \ (z * u))) / y) = z * ((z \ x) * ((y * ((z \ x) \ u)) / y)). x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z). x * y != (z * 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 * (y \ (x * u))) / z)) = (x \ y) * ((z * ((x \ y) \ u)) / z). x * ((x \ y) * ((z * ((x \ y) \ 1)) / z)) = y * ((z * (y \ x)) / z). x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ (x * 1))) / y). x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ x)) / y). x * K(y,(y / T(z,x)) / y) = (z * x) * ((y * ((z * x) \ x)) / y). (x * y) * ((z * ((x * y) \ y)) / z) = y * K(z,(z / T(x,y)) / z). x * y != (z * x) * ((u * ((z * x) \ x)) / u) | T(z * ((u * (z \ 1)) / u),x) = y. T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y). x != K(y,(y / z) / y) | 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(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). 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). L(1 / (x \ y),x \ y,x) * (x \ y) = (x \ y) * (y \ x). ((x \ y) * (y \ x)) / (x \ y) = L(1 / (x \ y),x \ y,x). T((x \ y) \ 1,y \ x) = (x \ y) \ 1. (x * (y / (z * u))) / x = R((x * ((y / u) / z)) / x,z,u). R((x * ((y / z) / u)) / x,u,z) = (x * (y / (u * z))) / x. T(x,y) * (x * y) = (T(x,x * y) * y) * T(x,y). (T(x,x * y) * y) * T(x,y) = T(x,y) * (x * y). T(x,y) * z != T(x,y) * (x * y) | T(T(x,x * y) * y,T(x,y)) = z. T(T(x,x * y) * y,T(x,y)) = x * y. R(x \ T(x,y),K(x \ 1,T(x,y)),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. R(x,(x \ y) * z,a(x,x \ y,z)) \ (y * z) = ((x \ y) * z) * a(x,x \ y,z). T((x * y) / z,u) * z = (T(x / (z / y),u) * (z / y)) * y. (T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y. x * y != T(z / u,w) * u | (u * T(u \ z,w)) / y = x. (x * T(x \ (y * z),u)) / z = T(y / (x / z),u) * (x / z). (x * T(x \ (y * z),u)) / z = (x / z) * T((x / z) \ y,u). (x * T(x \ y,z)) / y = (x / y) * T((x / y) \ 1,z). (x / y) * T((x / y) \ 1,z) = (x * T(x \ y,z)) / y. ((x / y) * T((x / y) \ z,u)) * y = x * T(x \ (z * y),u). ((x \ (y * z)) * x) / z = (x / z) * T((x / z) \ y,x). (x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y. (x * (y * T(y \ (x \ (z * u)),w))) / u = ((x * y) / u) * T(((x * y) / u) \ z,w). ((x * T(y,z)) * T(y,u)) / T(y,z) = ((x * T(y,z)) / T(y,z)) * T(((x * T(y,z)) / T(y,z)) \ (x * y),u). ((x * T(y,z)) / T(y,z)) * T(((x * T(y,z)) / T(y,z)) \ (x * y),u) = ((x * T(y,z)) * T(y,u)) / T(y,z). (x * T(x \ y,z)) / y = K(z \ (z / (x / y)),z). K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z. ((x / y) * T((x / y) \ 1,z)) * y = x * T(x \ y,z). x * y != R(z,u,(z * u) \ w) \ w | x \ (u * ((z * u) \ w)) = y. x \ (y * ((x * y) \ x)) = R(x,y,(x * y) \ x) \ 1. R(x,y,(x * y) \ x) \ 1 = x \ (y * ((x * y) \ x)). T(x \ 1,T(x,y) * (x \ 1)) = x \ 1. (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = ((x * y) \ x) * T(((x * y) \ x) \ 1,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) = (((y * x) \ y) \ 1) \ (((y * x) \ y) \ K(x,y)). (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = T(K(y,x),((x * y) \ x) \ 1). x * (x * y) = T(x,x / (x / T(y,x))) * (y * x). T(x,x / (x / T(y,x))) * (y * x) = x * (x * y). (x * (x * y)) / (y * x) = T(x,x / (x / T(y,x))). T(x,x / (x / T(y,x))) = (x * (x * y)) / (y * x). x != T(y,y / (y / T(z,y))) | x = (y / T(z,y)) * z. (x * (x * y)) / (y * x) = (x / T(y,x)) * y. R(((x * (x * y)) / x) / y,y,x) = (x / T(y,x)) * y. R(T(x,x / (1 / y)),y,x) = (x / T(y,x)) * y. (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). (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * ((1 / x) * T(x,y)). (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * (T(x,y) / x). (x * (T(y,x) / y)) \ (x * z) = x * (((L(y,1 / y,x) * x) / L(y,1 / y,x)) \ z). x * (((L(y,1 / y,x) * x) / L(y,1 / y,x)) \ z) = (x * (T(y,x) / y)) \ (x * z). x * ((x * (T(y,x) / y)) \ z) = (x * (T(y,x) / y)) \ (x * z). (x * (T(y,x) / y)) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). T(x \ T(y,y / x),y) = x \ y. T((x \ y) \ T(y,x),y) = (x \ y) \ y. T(x,x * (T(x,y) \ ((y \ x) * ((y \ x) \ x)))) = x. T(x,x * (T(x,y) \ x)) = x. T(x,y) = T(T(x,y),x * (T(x,z) \ x)). T(T(x,y),x * (T(x,z) \ x)) = T(x,y). x != T(T(y,z),y * (T(y,z) \ u)) | x = (y * (T(y,z) \ u)) \ (y * u). 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(y,x) \ y) * x) \ x)) \ (x * x) = T(x,R(T(y,x),T(y,x) \ 1,x)). x != T(y,R(T(z,y),T(z,y) \ 1,y)) | x = (T(z,y) \ z) * y. (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = (T(y,x) \ y) * x. T(x / T(x,y),x) = T(x,y) \ x. (T(x,y) \ x) * T(x,y) = T(x,y) * T(T(x,y) \ x,x). T(x,y) * T(T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). ((((x * y) * z) / (x * y)) * x) * y != u | u = (x * y) * R(z,x,y). ((((x * y) * z) / (x * y)) * x) * y != u | (x * y) * R(z,x,y) = u. ((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y. ((x * ((y \ z) / (y * (y \ z)))) / x) * z = (((x * (1 / y)) / x) * y) * (y \ z). ((x * ((y * z) / (R(u,y,z) * (y * z)))) / x) * ((u * y) * z) = (((x * (1 / R(u,y,z))) / x) * R(u,y,z)) * (y * z). ((x * ((y * z) / ((u * y) * z))) / x) * ((u * y) * z) = (((x * (1 / R(u,y,z))) / x) * R(u,y,z)) * (y * z). (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((x * ((z * u) / ((y * z) * u))) / x) * ((y * z) * u). (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * u) * ((x * (((y * z) * u) \ (z * u))) / x). (((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) / z)) / x) * z = (((x * (1 / y)) / x) * y) * (y \ z). x * ((y * (x \ (z \ x))) / y) = (((y * (1 / z)) / y) * z) * (z \ x). (((x * (1 / y)) / x) * y) * (y \ z) = z * ((x * (z \ (y \ z))) / x). (x * ((y \ x) / x)) / (y \ x) = ((x * (1 / y)) / x) * y. (x * ((y \ x) / x)) / (y \ x) = y * ((x * (y \ 1)) / x). K((x / y) \ 1,x / y) * y = x * T(x \ y,x / y). ((x / y) * y) / z != u | x / z = u. R((x / y) / z,z,y) != u | x / (z * y) = u. ((x / (y \ z)) / (z / y)) * (y \ z) != u | x / (z / y) = u. (x * T(y,x)) \ z != u | (y * x) \ z = u. L((x \ y) \ z,x \ y,x) != u | y \ (x * z) = u. (x / (y \ x)) \ z != u | y \ z = u. (x * R(x \ 1,y,z)) * u != (w * x) * R((w * x) \ w,y,z) | T(w,x * R(x \ 1,y,z)) = u. T(x,x * R(x \ 1,y,z)) = x. x * y != (z * x) * R((z * x) \ x,u,w) | T(z * R(z \ 1,u,w),x) = y. T(x * R(x \ 1,y,z),x) = x * R(x \ 1,y,z). T(x,y / (x * y)) * y = K((y / (x * y)) \ 1,y / (x * y)) * (x * y). K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,x / (y * x)) * x. x * (K(x \ 1,x) * (x \ y)) = ((x \ (y / y)) * x) * y. ((x \ (y / y)) * x) * y = x * (K(x \ 1,x) * (x \ y)). K(x,1 / x) \ (x * (T(x,y) / x)) = L(T(x,y),1 / x,x). K(x,1 / x) \ x = L(x,1 / x,x). (L(1 / x,x,y) * K(x \ 1,x)) * x = (x * ((y * x) \ y)) * K(x \ 1,x). x != (1 / y) * R(y,z,u) | x = R(y,z,u) / y. R(1 / (1 / x),y,z) * (1 / x) = R(x,y,z) / x. R(x,y,z) / x = (1 / x) * R((1 / x) \ 1,y,z). (1 / x) * R((1 / x) \ 1,y,z) = R(x,y,z) / 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)). 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,1 / x),y,z) = R(R(x,y,z),1 / x,x). R(R(x,y,z),1 / x,x) = R(T(x,1 / x),y,z). 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((L(x,y,z) * (1 / x)) / L(x,y,z),L(x,y,z) / x) = L(1 / x,L(x,y,z),1 / x). T((T(x,y) * (1 / x)) / T(x,y),T(x,y) / x) = L(1 / x,T(x,y),1 / x). T(((T(x,y) \ x) * x) / (T(x,y) \ x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). 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). x != T(L(y,z,u),w) | x = L(T(y,w),z,u). 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). R(x \ 1,T(x,y),x \ 1) = T(x \ 1,T(x,y)). 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). 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 \ 1,x) * ((x \ 1) \ 1) = x. x * (y \ ((x \ y) * x)) = ((x \ y) * x) * (y \ x). ((x \ y) * x) * (y \ x) = x * (y \ ((x \ y) * x)). ((x \ y) * x) * (y \ x) = x * K(x \ y,x). (x * y) * ((y * x) \ y) = y * K(y \ (y * x),y). (x * y) * ((y * x) \ y) = y * K(x,y). x \ (y * K(x / y,y)) = (y * (x / y)) \ y. (x * y) * L(x \ 1,x,y) = y * K(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(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w). x \ (y * L(y \ x,z,u)) = (x \ y) * L((x \ y) \ 1,z,u). (x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)). L(x,y,z) * L(((z * y) \ (z * (y * x))) \ 1,u,w) = (z * y) \ ((z * (y * x)) * L((z * (y * x)) \ (z * y),u,w)). (x * y) \ ((x * (y * z)) * L((x * (y * z)) \ (x * y),u,w)) = L(z,y,x) * L(((x * y) \ (x * (y * z))) \ 1,u,w). (x * y) \ ((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). x * (T(y,z) * (x \ u)) = u * T(u \ (x * (y * (x \ u))),z). x * T(x \ (y * (z * (y \ x))),u) = y * (T(z,u) * (y \ x)). x / L(y \ z,y,x / z) = (x / z) * y. x / L(K(y \ 1,y),1 / y,x / (y \ 1)) = (x / (y \ 1)) * (1 / y). x \ (K(x,1 / x) * x) = a(x,1 / x,x). x \ R(x,1 / y,y) = a(x,1 / y,y). x != y \ (z * y) | x = T(z,y). a(x,1 / x,x) = T(K(x,1 / x),x). T(K(x,1 / x),x) = a(x,1 / x,x). x * y != z \ T(z,z / (z * u)) | (u * ((z * (u \ 1)) / z)) / y = x. (x * ((y * (x \ 1)) / y)) / (y \ 1) = T(y,y / (y * x)). (x \ T(x,x / (x * y))) * x = T(x,R(1 / y,y,x)). T(x,R(1 / y,y,x)) = (x \ T(x,x / (x * y))) * x. (x * y) / y = R(x,1,y). x = R(x,1,y). R(x,1,y) = x. (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. (1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z). K(L(x,y,z),1 / x) = x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)). x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = K(L(x,y,z),1 / x). (x * y) * R((x * y) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)). x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * x) * R((y * x) \ x,z,u). T(x * R(x \ 1,y,z),u) = T(x,u) * R(T(x,u) \ 1,y,z). T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y). x != T(y,z) * R(T(y,z) \ 1,u,w) | x = T(y * R(y \ 1,u,w),z). (x / (T(y,z) * x)) * T(y,z) = T(y * R(y \ 1,T(y,z),x),z). T(x * R(x \ 1,T(x,y),z),y) = (z / (T(x,y) * z)) * T(x,y). (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) != z | K(x,y / (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). R(x \ 1,x,y) \ ((y / (x * y)) * x) != z | T(x,R(x \ 1,x,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,y) * ((T(x,z) * (T(x,y) \ 1)) / T(x,z)) = T(x * (((x \ 1) * T((x \ 1) \ 1,z)) / T(x,z)),y). T(x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)),z) = T(x,z) * ((T(x,y) * (T(x,z) \ 1)) / T(x,y)). x * y != L((z * (u \ w)) / z,u,1 / u) | x \ ((z * ((1 / u) * w)) / z) = y. (1 / x) \ ((y * ((1 / x) * z)) / y) = x * ((y * (x \ z)) / y). L((x \ y) / y,z,u) * y = (L(1 / x,z,u) * x) * (x \ y). x * L(x \ (y \ x),z,u) = (L(1 / y,z,u) * y) * (y \ x). (L(1 / x,y,z) * x) * (x \ u) = u * L(u \ (x \ u),y,z). (x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). 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(x \ y,x,y / x) != z | T(y / x,y) = z. x * y != R((z \ u) \ u,w,v5) | x \ R(T(z,z \ u),w,v5) = y. x \ R(T(y,y \ z),u,w) = x \ R((y \ z) \ z,u,w). R(x,y \ 1,y) * K(y \ 1,y) != z * u | z \ ((x * (y \ 1)) * y) = u. T(x * L(x \ 1,y,z),u) = T(x,u) * L(T(x,u) \ 1,y,z). T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). T(x,y) \ T(x * L(x \ 1,z,u),y) = L(T(x,y) \ 1,z,u). T(x * L(x \ 1,y,z),u) != T(x,u) * w | L(T(x,u) \ 1,y,z) = w. T(x,y) * ((z * T(x,y)) \ z) = T(x * L(x \ 1,T(x,y),z),y). T(x * L(x \ 1,T(x,y),z),y) = T(x,y) * ((z * T(x,y)) \ z). T(x,y) * L(T(x,y) \ 1,x,1 / x) = T(x * T(1 / x,1),y). T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * T(1 / x,1),y). T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * (1 / x),y). 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(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. ((T(x,y) \ x) / x) * K(x \ 1,x) = (T(x,y) \ x) * T(T(1 / x,T(x,y) \ x),x). (T(x,y) \ x) * T(T(1 / x,T(x,y) \ x),x) = ((T(x,y) \ x) / x) * K(x \ 1,x). (T(x,y) \ x) * T(x \ 1,T(x,y) \ x) = ((T(x,y) \ x) / x) * K(x \ 1,x). (x \ 1) * (T(x,y) \ x) = ((T(x,y) \ x) / x) * K(x \ 1,x). ((T(x,y) \ x) / x) * K(x \ 1,x) = (x \ 1) * (T(x,y) \ x). x * y != z * (u * T(w,u)) | (z * (w * u)) / y = 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)). L(R(x,y,z),x \ 1,x) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). x * ((y * (x \ 1)) / y) != z | K(y,(y / x) / y) = z. L(R(x,y,T(x,y)),y,x) = x. (x * ((y * (x \ 1)) / y)) * (x \ z) = z * ((y * (z \ (x \ z))) / y). ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (x \ (u * y))) / z). (x * ((y * (x \ (z * u))) / y)) / u = (x / u) * ((y * ((x / u) \ z)) / y). (x * ((y * (x \ z)) / y)) / z = (x / z) * ((y * ((x / z) \ 1)) / y). (x / y) * ((z * ((x / y) \ 1)) / z) = (x * ((z * (x \ y)) / z)) / y. 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)). 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). x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)) = K(T(x,y),1 / x). T(x,T(x,y) \ 1) != z | (T(x,y) \ 1) \ (T(x,y) \ x) = z. T(x,y) = R(T(x,y * L(x,z,u)),y,L(x,z,u)). R(T(x,y * L(x,z,u)),y,L(x,z,u)) = T(x,y). (x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u). T(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) / y = R(x,y,1). x = R(x,y,1). R(x,y,1) = x. R(x,y,1) != z | z = x. 1 = L(1,x,y). L(1,x,y) = 1. a(x,y,1) = 1. a(x,y,K(z,z)) = 1. (T(x,y) \ T(x,z)) / (T(x,y) \ 1) = T(x,z). T(x,y) * (T(x,z) \ 1) = T(x,z) \ T(x,y). (x \ y) * (T(y / x,z) \ 1) = T(y / x,z) \ T(y / x,x). T(x / y,z) \ T(x / y,y) = (y \ x) * (T(x / y,z) \ 1). T(x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)),z) = T(x,z) * ((T(x,z) \ T(x,y)) / T(x,y)). T(K(T(x,y),1 / x),z) = T(x,z) * ((T(x,z) \ T(x,y)) / T(x,y)). T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = T(K(T(x,z),1 / x),y). K(x,1 / x) * L(x,1 / x,x) = x. L(x,y,z) * ((L(x,y,z) / x) \ ((1 / x) * 1)) = L(x * L(x \ 1,L(x,y,z),1 / x),y,z). L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = L(x * L(x \ 1,L(x,y,z),1 / x),y,z). L(x * L(x \ 1,L(x,y,z),1 / x),y,z) = L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)). (1 / x) * (x * R(x \ y,z,u)) = R((1 / x) * y,z,u). (1 / x) * (x * R(x \ 1,y,z)) = R(1 / x,y,z). (1 / x) \ R(1 / x,y,z) = x * R(x \ 1,y,z). x * y != R(1 / (z / u),z / u,u) | x \ (u / z) = y. (1 / (x / y)) \ (y / x) = (x / y) * R((x / y) \ 1,x / y,y). (x / y) * R((x / y) \ 1,x / y,y) = (1 / (x / y)) \ (y / x). (1 / x) * ((y / (x * y)) * x) = R(1 / x,x,y). L(x * (y \ 1),z,u) / (y \ 1) = L(x / y,z,u) * y. 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). L(x \ 1,y,z) / (x \ 1) = L(1 / x,y,z) * x. x != L(1 / y,y,z) * y | x = y * ((z * y) \ z). 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 * y) \ x) / (y \ 1) = y * ((x * y) \ x). (x * ((y * x) \ y)) * (x \ 1) = (y * x) \ y. ((x * y) \ y) / (T(x,y) \ 1) = T(x,y) * ((y * T(x,y)) \ y). ((x * y) \ x) * K(y \ 1,y * ((x * y) \ x)) = (y \ 1) * (y * ((x * y) \ x)). ((x * y) \ x) * z != u | z = L(y \ 1,y,x) \ u. 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 != 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 \ 1) * T(x,(y * x) \ y) = K(x \ 1,x * ((y * x) \ y)). L(x * y,z,u) / ((1 / y) \ 1) = (1 / y) * L((1 / y) \ x,z,u). L(x * y,z,u) / y = (1 / y) * L((1 / y) \ x,z,u). (1 / x) * L((1 / x) \ y,z,u) = L(y * x,z,u) / x. (1 / x) * L((1 / x) \ 1,y,z) = L(x,y,z) / x. ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = L(x,y,z) * R(L(x,y,z) \ 1,L(x,y,z),x \ 1). L(x,y,z) * R(L(x,y,z) \ 1,L(x,y,z),x \ 1) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). R(x,y,z) * (z * R(T(y,z),u,w)) = (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z. (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (z * R(T(y,z),u,w)). (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (R(y,u,w) * z). T(T(R(x,y,y \ 1),x * y) / (y \ 1),(x * y) * (y \ 1)) = x * y. T(T(R(x,y,y \ 1),x * y) / (y \ 1),R(x,y,y \ 1)) = x * y. T(R(T(x,x * y),y,y \ 1) / (y \ 1),R(x,y,y \ 1)) = x * y. T(T(x,x * y) * y,R(x,y,y \ 1)) = x * y. T(x * y,z) = T(T(T(x,x * y) * y,z),R(x,y,y \ 1)). T(T(T(x,x * y) * y,z),R(x,y,y \ 1)) = T(x * y,z). T(x * y,R(x,y,y \ 1)) = T(x * y,T(x,y)). T(x,R(x / y,y,y \ 1)) = T((x / y) * y,T(x / y,y)). T((x / y) * y,T(x / y,y)) = T(x,R(x / y,y,y \ 1)). T((x / y) * y,T(x / y,y)) = T(x,x * (y \ 1)). T(x,T(x / y,y)) = T(x,x * (y \ 1)). T(x,y \ x) = T(x,x * (y \ 1)). T(x,x * (y \ 1)) = T(x,y \ x). T(x,x * y) = T(x,(1 / y) \ x). T(x,(1 / y) \ x) = T(x,x * y). T(x * L(x \ 1,T(x,y),1 / x),y) = T(x,y) * ((T(x,y) / x) \ (1 / x)). T(x,1 / y) / y = ((1 / y) \ (x / y)) * (1 / y). ((1 / x) \ (y / x)) * (1 / x) = T(y,1 / x) / x. 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)). (T(x,1 / y) / y) \ (x / y) = K(1 / y,(1 / y) \ (x / y)). K(1 / x,(1 / x) \ (y / x)) = (T(y,1 / x) / x) \ (y / x). T(x,y) / z = (x / z) * K(y \ (y / ((x / z) \ (1 / z))),y). (x / y) * K(z \ (z / ((x / y) \ (1 / y))),z) = T(x,z) / y. x * y != (z / u) * K(w \ (w / ((z / u) \ (1 / u))),w) | x \ (T(z,w) / u) = y. (1 / x) \ (T(y,z) / x) = T((1 / x) \ (y / x),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). T(x,K(x \ 1,y)) * (x \ 1) = 1. T(x,K(x \ 1,y)) = x. T(1 / x,K(x,y)) = 1 / x. T(K(x,y),1 / x) = K(x,y). R(1 / (x / y),x / y,y) = T((1 * y) / x,K(x / y,z)). T((1 * x) / y,K(y / x,z)) = R(1 / (y / x),y / x,x). x != R(1 / (y / z),y / z,z) | 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). x != T(y / z,z) | x = z \ y. T(x \ y,K(x / y,z)) = x \ y. K(x,(x / (y \ x)) / x) = T(K(x,y / x),K(y / x,z)). T(K(x,y / x),K(y / x,z)) = K(x,(x / (y \ x)) / x). T(K(x,y / x),K(y / x,z)) = K(x,y / x). T(K(x,y),K((y * x) / x,z)) = K(x,(y * x) / x). T(K(x,y),K(y,z)) = K(x,(y * x) / x). T(K(x,y),K(y,z)) = K(x,y). K((x \ y) \ 1,y \ x) = 1. T(x * K(y,x),x) = x * K(y,x). (x / y) * ((z / y) \ z) = x. T(x * y,K(y,x)) != z | K(y,x) \ (y * x) = z. R(x / T(y,z),T(y,z),y) = (x * y) / (y * T(y,z)). L(x \ 1,x,y) * (((y * x) \ y) \ z) = z. T(K(x,y),K(z,x)) = K(x,y). K(x,y) * K(z,x) = K(z,x) * K(x,y). K(x,y) * L(K(z,x),u,w) = L(K(z,x),u,w) * K(x,y). L(K(x,y),z,u) * K(y,w) = K(y,w) * L(K(x,y),z,u). K(x,y) * K(z,x) != u | K(z,x) * K(x,y) = u. K(x,y) * 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. K(((x * y) \ x) \ 1,y) = 1. x != y * ((z / u) \ z) | x / u = y. x * ((y / z) \ y) != u | u / z = x. K(x,y) * L(K(y,z),u,w) = L(K(y,z),u,w) * K(x,y). L(K(x,y),z,u) * K(w,x) = K(w,x) * L(K(x,y),z,u). K(x,y) * K(y,z) != u | K(y,z) * K(x,y) = u. K(x,y) * R(K(y,z),u,w) = R(K(y,z),u,w) * K(x,y). R(K(x,y),z,u) * K(w,x) = K(w,x) * R(K(x,y),z,u). x * 1 != 1 * y | y = x. 1 * x != y | x = 1 * y. 1 * x != y | 1 * y = x. x != y | 1 * y = x. 1 = R(1,x,y). R(1,x,y) = 1. L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y) = K(x,y). (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))). K(x,x * L(x \ 1,y,z)) = 1. T(x,x * ((y * x) \ y)) = x. T(x \ 1,x \ L(x,y,z)) = x \ 1. T(x \ y,(x \ y) * (y \ x)) = x \ y. T(1 / x,L(x,y,z) / x) = 1 / x. (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). K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = y \ (x * (x \ y)). 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). 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(x \ T(y,x),z) = T(x * T(x \ y,z),x). (x \ T(y,x)) * x = T(x * T(x \ y,x),x). T(x * T(x \ y,x),x) = (x \ T(y,x)) * x. x \ T(x * T(x \ y,z),x) = T(x \ T(y,x),z). T((x \ y) * x,x) = (x \ T(y,x)) * x. (x \ T(y,x)) * x = T((x \ y) * x,x). x * (T((x \ y) * x,x) / x) = T(y,x). x * (T(y * x,x) / x) = T(x * y,x). x * (T(y,x) / x) = T(x * (y / x),x). x \ T(x * y,x) = T(y * x,x) / x. T(x * y,y) / y = y \ T(y * x,y). x * ((1 / x) * T(y,x)) = T(x * ((1 / x) * y),x). x != y * (z * T(z \ (y \ (u * z)),w)) | x = (y * T(y \ u,w)) * z. T(x * ((1 / x) * ((1 / x) \ (x \ (y * (1 / x))))),x) = (x * T(x \ y,x)) * (1 / x). T(x * (1 / y),y) = (y * T(y \ x,y)) * (1 / y). (x * T(x \ y,x)) * (1 / x) = T(y * (1 / x),x). ((x \ y) * x) * (1 / x) = T(y * (1 / x),x). (x * y) * (1 / y) = T((y * x) * (1 / y),y). T((x * y) * (1 / x),x) = (y * x) * (1 / x). T(x * (1 / y),y) != z * (1 / y) | (y \ x) * y = z. T((x * y) * (1 / x),x) != z * (1 / x) | y * x = z. x * (y * (y \ z)) != u * w | (x * z) / w = u. x * (T(y,z) * (x \ 1)) = T(x * (y * (x \ 1)),z). L(x,y,z) \ T(L(x,y,z) * (L(x,y,z) \ x),u) = T(x,u) * (L(x,y,z) \ 1). R(x,y,z) \ T(R(x,y,z) * (R(x,y,z) \ x),u) = T(x,u) * (R(x,y,z) \ 1). x \ T(x * (x \ L(x,y,z)),u) = T(L(x,y,z),u) * (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). (((x * (y * z)) / (x * y)) * x) * y = (x * y) * R(L(z,y,x),x,y). 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). (1 / T(x,y)) \ (T(x,z) / T(x,y)) = T(x,z). (T(x,y) / T(x,z)) / T(x,y) = 1 / T(x,z). (1 / T(x,y)) * T(T(x,z),u) = T((T(x,z) / T(x,y)) * T(x,y),u) / T(x,y). T((T(x,y) / T(x,z)) * T(x,z),u) / T(x,z) = (1 / T(x,z)) * T(T(x,y),u). T(1 / T(x,y),T(x,z)) = T(x,z) \ (T(x,z) / T(x,y)). T(x,y) \ (T(x,y) / T(x,z)) = T(1 / T(x,z),T(x,y)). K(T(x,y),1 / T(x,z)) = T(x,z) * ((T(x,y) * (T(x,z) \ 1)) / T(x,y)). T(x,y) * ((T(x,z) * (T(x,y) \ 1)) / T(x,z)) = K(T(x,z),1 / T(x,y)). T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = K(T(x,z),1 / T(x,y)). x != T(y,z) * ((T(y,z) \ T(y,u)) / T(y,u)) | x = T(K(T(y,u),1 / y),z). K(T(x,y),1 / T(x,z)) = T(K(T(x,y),1 / x),z). T(K(T(x,y),1 / x),z) = K(T(x,y),1 / T(x,z)). T(T(x,y),z) / T(x,u) = (1 / T(x,u)) * T(T(x,y),z). (1 / T(x,y)) * T(T(x,z),u) = T(T(x,z),u) / T(x,y). (x \ 1) * T(T(x,y),z) = T(T(x,y),z) / T(x,x \ 1). T(T(x,y),z) / T(x,x \ 1) = (x \ 1) * T(T(x,y),z). x != y * T(T(z,y),u) | 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). (x * (y * z)) / z = ((x * y) / z) * L(z,y,x). ((x * y) / z) * L(z,y,x) = (x * (y * z)) / z. ((x * y) / z) \ ((x * (y * z)) / z) = L(z,y,x). 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) * L((x * y) \ z,u,w) != y * v5 | T(x * L(x \ (z / y),u,w),y) = v5. T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w). (1 / L(x,y,z)) * x != u | x / L(x,y,z) = u. K(x \ 1,x) * L(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). x != y * (z * L(z \ (y \ (u * z)),w,v5)) | 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. K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = (x \ L(x * y,z,u)) * x. (x * y) * ((z * ((x * y) \ (x * u))) / z) != w | x * (y * ((z * (y \ u)) / z)) = w. (x * y) * ((z * ((x * y) \ u)) / z) != w | x * (y * ((z * (y \ (x \ u))) / z)) = w. 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 != y \ (y / z) | x = L(z \ 1,z,y / z). T(1 / x,T(x,y)) = L(x \ 1,x,T(x,y) / x). L(x \ 1,x,T(x,y) / x) = T(1 / x,T(x,y)). K(T(1 / x,T(x,y)),T(x,y)) = x * T(x \ 1,T(x,y)). L(x \ 1,x,y \ ((x * y) / x)) = T(1 / x,T(x,R(y,y \ 1,x))). T(1 / x,T(x,R(y,y \ 1,x))) = L(x \ 1,x,y \ ((x * y) / x)). T(x,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) * ((((x * y) / x) \ y) / y) = ((x * y) * ((y * ((x * y) \ x)) / y)) / x. ((x * y) * ((y * ((x * y) \ x)) / y)) / x = ((x * y) / x) * ((((x * y) / x) \ y) / y). 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). ((((x * y) / x) \ z) \ z) * x != x * u | T(y,((x * y) / x) \ z) = u. 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). x * y != (1 * z) / u | (z / u) / y = x. (x / ((y * x) / y)) / x = 1 / ((y * x) / y). T(x,y) * R((y \ (x * y)) \ y,z,u) = T(x * R(x \ y,z,u),y). T(x,y) * R(T(x,y) \ y,z,u) = T(x * R(x \ y,z,u),y). T(x,x * y) * R(T(x,x * y) \ (x * y),z,u) = T(x * R(y,z,u),x * y). K((x * (y / z)) \ x,x * (y / z)) = (y * T(y \ z,x * (y / z))) / z. K(x \ (x / R(y,z,u)),x) = (((y * z) * u) * T(((y * z) * u) \ (z * u),x)) / (z * u). K(x \ (x / R(y,z,u)),x) = (((y * z) * T((y * z) \ z,x)) * u) / (z * u). K(x \ (x / R(y,z,u)),x) = (((y * T(y \ 1,x)) * z) * u) / (z * u). x != ((y * z) * u) / (z * u) | 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,y,z) * T(R(x,y,z) \ 1,u) != w | R(x * T(x \ 1,u),y,z) = w. R(x * T(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). R(x * T(x \ 1,R(x,y,z)),y,z) = (R(x,y,z) \ 1) * R(x,y,z). L(1 / x,x,y) = L((y * x) \ y,x,1 / x). L((x * y) \ x,y,1 / y) = L(1 / y,y,x). (1 / x) * (x * ((y * x) \ y)) = L(1 / x,x,y). L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y). L(1 / (x \ y),x \ y,x) * ((y \ x) \ 1) = (y \ x) \ L(y \ x,x \ y,1 / (x \ y)). (x \ y) \ L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). (x \ y) \ L(1 / (y \ x),y \ x,y) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). L(1 / (x \ y),x \ y,x) * ((y \ x) \ 1) = (y \ x) \ L(1 / (x \ y),x \ y,x). 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 != R(y,z,z \ 1) | x = (y * z) * (z \ 1). R(x * (y \ 1),z,u) = (R(x / y,z,u) * y) * (y \ 1). (R(x / y,z,u) * y) * (y \ 1) = R(x * (y \ 1),z,u). (x * R(x \ y,z,u)) * (x \ 1) = R(y * (x \ 1),z,u). 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). K(R(x \ 1,y,z) \ (x * R(x \ 1,y,z)),R(x \ 1,y,z)) = x \ T(x,R(x \ 1,y,z)). K(T(x,R(x \ 1,y,z)),R(x \ 1,y,z)) = x \ T(x,R(x \ 1,y,z)). R(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. T((R(x,y,z) * (1 / x)) / R(x,y,z),x) = (x \ R(x,y,z)) / R(x,y,z). ((x \ y) * (y \ x)) \ L((x \ y) \ 1,x \ y,x) = (x \ y) \ 1. ((x \ y) * (y \ x)) \ (y \ x) = (x \ y) \ 1. (x \ y) / ((y \ x) \ 1) = (y \ x) * (x \ y). (x \ y) / ((y \ x) \ 1) != z | z = (y \ x) * (x \ y). (x \ y) / ((y \ x) \ 1) != z | (y \ x) * (x \ y) = z. (1 / x) * R(x,y,z) != u | R(x,y,z) / x = u. 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((x * y) / y,y,L(x,z,u)) = T((y * x) / y,L(x,z,u) * y). T((x * y) / x,L(y,z,u) * x) = L((y * x) / x,x,L(y,z,u)). T((x * y) / x,L(y,z,u) * x) = L(y,x,L(y,z,u)). L(x,y,L(x,z,u)) * y = y * T(x,L(x,z,u) * y). x * T(y,L(y,z,u) * x) = L(y,x,L(y,z,u)) * x. T(x / (y * z),y) * (y * z) != u | ((y \ (x / z)) * y) * z = u. (x * (1 / y)) / x = T((x * (1 / y)) / x,L(y,z,u) / y). T((x * (1 / y)) / x,L(y,z,u) / y) = (x * (1 / y)) / x. x != T((L(y,z,u) * (1 / y)) / L(y,z,u),L(y,z,u) / y) | x = L(1 / y,L(y,z,u),1 / y). (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). L(K(L(x,y,z),1 / x),y,z) = L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)). L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = L(K(L(x,y,z),1 / x),y,z). T(T(x,y),T(x,y) * ((T(x,y) / x) \ (1 / x))) = T(x,y). T(T(x,y) * ((T(x,y) / x) \ (1 / x)),T(x,y)) = T(x,y) * ((T(x,y) / x) \ (1 / x)). T(T(x,y) * ((T(x,y) / x) \ (1 / x)),T(x,y)) = T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)). x != T(T(y,z) * ((T(y,z) / y) \ (1 / y)),T(y,z)) | x = T(y,z) * ((T(y,z) / y) \ (1 / y)). T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)) = T(x,y) * ((T(x,y) / x) \ (1 / x)). T(1 / x,(1 / x) * R(x,y,z)) = 1 / x. T(x \ 1,R(x,y,z) * (x \ 1)) = x \ 1. T(x \ 1,x \ R(x,y,z)) = x \ 1. T(x,(y / (x * y)) * x) = x. R(x \ 1,R(x,y,z),x \ 1) = T(x \ 1,R(x,y,z)). (R(x,y,z) * (1 / x)) / R(x,y,z) = L(1 / x,R(x,y,z),1 / x). T(L(1 / x,R(x,y,z),1 / x),x) = (x \ R(x,y,z)) / R(x,y,z). x != T(L(y / z,u,w),z) | x = L(z \ y,u,w). (x \ R(x,y,z)) / R(x,y,z) = L(x \ 1,R(x,y,z),1 / x). L(x \ 1,R(x,y,z),1 / x) = (x \ R(x,y,z)) / R(x,y,z). x * ((x * L(x \ 1,y,z)) * u) = (x * L(x \ 1,y,z)) * (x * u). (x * L(x \ 1,y,z)) * (x * u) = x * ((x * L(x \ 1,y,z)) * u). (x \ L(x,y,z)) * ((x \ 1) * u) = (x \ 1) * (((x \ 1) * L((x \ 1) \ 1,y,z)) * u). (x \ 1) * (((x \ 1) * L((x \ 1) \ 1,y,z)) * u) = (x \ L(x,y,z)) * ((x \ 1) * u). (x \ 1) * ((x \ L(x,y,z)) * u) = (x \ L(x,y,z)) * ((x \ 1) * u). (x \ L(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ L(x,y,z)) * u). (x \ L(x,y,z)) \ (x \ 1) = (x \ 1) * ((x \ L(x,y,z)) \ 1). (x \ 1) * ((x \ L(x,y,z)) \ 1) = (x \ L(x,y,z)) \ (x \ 1). (x \ L(x,y,z)) \ (x \ 1) != (x \ 1) * u | (x \ L(x,y,z)) \ 1 = u. L(x * T(x \ 1,L(x,y,z)),y,z) != u | K(L(x,y,z) \ 1,L(x,y,z)) = u. 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 != R(1 / z,z,u) | T(x,y) = y \ (u / (z * u)). T(1 / x,(y / (x * y)) * x) = ((y / (x * y)) * x) \ (y / (x * y)). ((x / (y * x)) * y) \ (x / (y * x)) = T(1 / y,(x / (y * x)) * y). T(1 / x,(y / (x * y)) * x) != z | L(x \ 1,x,y / (x * y)) = z. L(T(x \ 1,x),x,1 / x) = x \ 1. (1 / x) \ L(x \ 1,y,z) = x * L(T(x \ 1,x),y,z). (1 / x) \ L(x \ 1,y,z) = L(x \ 1,y,z) * x. (1 / x) \ L(x \ 1,y,z) != u | L(x \ 1,y,z) * x = u. (1 / x) * (L(x \ 1,y,z) * x) = L(x \ 1,y,z). (1 / (x \ y)) \ (y \ x) = L((x \ y) \ 1,x \ y,x) * (x \ y). L((x \ y) \ 1,x \ y,x) * (x \ y) = (1 / (x \ y)) \ (y \ x). (x \ y) * (y \ x) = (1 / (y \ x)) \ (x \ y). (1 / (x \ y)) \ (y \ x) = (y \ x) * (x \ y). (1 / ((x * y) \ 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. T(1 / (x \ y),(y \ x) * (x \ y)) = ((y \ x) * (x \ y)) \ (y \ x). x != T(1 / (y \ z),(z \ y) * (y \ z)) | x = 1 / (y \ z). ((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x). L((x \ y) \ 1,x \ y,y \ x) = 1 / (x \ y). (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / (x \ (x * y)). (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / y. L(x \ 1,x,(y * x) \ y) = 1 / x. (((x * y) \ x) * y) * (1 / y) = (x * y) \ x. ((x * y) \ x) / (1 / y) = ((x * y) \ x) * y. L(x \ 1,x,x \ 1) = 1 / x. L(1 / x,y,z) = L(L(x \ 1,y,z),x,x \ 1). L(L(x \ 1,y,z),x,x \ 1) = L(1 / x,y,z). x * (y * L(y \ (x \ y),x,x \ 1)) = (x * (1 / x)) * y. (x \ 1) / (1 / x) = (x \ 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 \ 1) * y | x = K(y \ 1,y). (x \ 1) / (1 / x) = K(x \ 1,x). (x \ y) * z != (x \ y) / (y / x) | T(1 / (y / x),x \ y) = z. T(1 / (1 / x),x \ 1) = x. T(x,y) = T(T(1 / (1 / x),y),x \ 1). T(T(1 / (1 / x),y),x \ 1) = T(x,y). T(1 / (1 / (1 / x)),x) = 1 / x. K(x,x \ 1) = T(x,x \ 1) / x. T(x,x \ 1) / x = K(x,x \ 1). T(x,x \ 1) = T(x,1 / x). T(x,1 / x) = T(x,x \ 1). x != T(y,y \ z) | x = (y \ z) \ z. 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). L(T(x,x \ 1),1 / x,x) = T(x,x * (1 / x)). (x * T(y,y \ 1)) / x = T((x * y) / x,1 / y). R(R(x,y,z),1 / x,x) = R(T(x,x \ 1),y,z). T(x \ 1,x) = ((x \ 1) \ 1) \ 1. ((x \ 1) \ 1) / x = K(x,1 / x). L((x \ 1) \ 1,y,z) / x = L(x,y,z) * (1 / x). (x \ 1) / (1 / x) = K(1 / x,1 / (1 / x)). K(1 / x,1 / (1 / x)) = (x \ 1) / (1 / x). K(x,x \ 1) * x = T(x,x \ 1). K(x,x \ 1) * x != y | y = T(x,x \ 1). K(x,x \ 1) * x != y | T(x,x \ 1) = y. ((x \ 1) \ 1) / x = K(x,x \ 1). x != ((y \ 1) \ 1) / y | x = K(y,1 / y). K(x,x \ 1) = K(x,1 / x). K(x,1 / x) = K(x,x \ 1). K(x,x \ 1) * x = (x \ 1) \ 1. ((x \ 1) \ 1) / x != y | y = K(x,x \ 1). ((x \ 1) \ 1) / x != y | K(x,x \ 1) = y. K(x,1 / x) != y | K(x,x \ 1) = y. K(T(x,y),T(x,y) \ 1) = T(K(T(x,y),1 / x),y). T(K(T(x,y),1 / x),y) = K(T(x,y),T(x,y) \ 1). K(x,x \ 1) = K((y / x) \ y,1 / x). K((x / y) \ x,1 / y) = K(y,y \ 1). K(x,x \ 1) = x * (1 / x). x * (1 / x) = K(x,x \ 1). x * (1 / x) != y | K(x,x \ 1) = y. x != K(y,y \ 1) | x = K(y \ 1,y) \ 1. x * (1 / x) = K(x \ 1,x) \ 1. K(x \ 1,x) \ 1 = x * (1 / x). x \ K(x,x \ 1) = 1 / x. x != R(y,z,u) * (1 / R(y,z,u)) | x = R(y * ((R(y,z,u) * (y \ 1)) / R(y,z,u)),z,u). K(R(x,y,z),R(x,y,z) \ 1) = R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z). R(x * ((R(x,y,z) * (x \ 1)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). x != L(y,z,u) * (1 / L(y,z,u)) | x = L(y * ((L(y,z,u) * (y \ 1)) / L(y,z,u)),z,u). K(L(x,y,z),L(x,y,z) \ 1) = L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z). L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = K(L(x,y,z),L(x,y,z) \ 1). (x * y) * (1 / y) != z * K(y,y \ 1) | R(x,y,1 / y) = 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)). T(x,y) \ K(x,x \ 1) != z | x * (T(x,y) \ (1 / x)) = z. K(x,x \ 1) \ 1 = K(1 / x,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). K(x \ 1,x) = K(x \ 1,(x \ 1) \ 1). K(x \ 1,(x \ 1) \ 1) = K(x \ 1,x). (x * K(y,y \ 1)) * y = (x * y) * K(y,y \ 1). T((x / y) * K(y,y \ 1),y) = y \ (x * K(y,y \ 1)). (x * K(y,y \ 1)) \ ((x * y) * K(y,y \ 1)) = y. x * y != ((z \ u) * z) * K(z,z \ u) | u / y = x. 1 / x = (x \ 1) * K(x,x \ 1). (x \ 1) * K(x,x \ 1) = 1 / x. (x * K(y,y \ 1)) / y = (x / y) * K(y,y \ 1). 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. x * K(x \ 1,x) = 1 / (1 / x). L(x,x \ 1,x) = 1 / (1 / x). x * y != z * K(z \ 1,z) | x \ (1 / (1 / z)) = y. T(x,y) \ (1 / (1 / x)) = x * (T(x,y) \ K(x \ 1,x)). x * (T(x,y) \ K(x \ 1,x)) = T(x,y) \ (1 / (1 / x)). L(x \ 1,y,z) / (1 / x) = L(1 / x,y,z) * (1 / (1 / x)). L(1 / x,y,z) * (1 / (1 / x)) = L(x \ 1,y,z) / (1 / x). T(L(x,y,z) * (1 / x),x) = x \ L((x \ 1) \ 1,y,z). R(1 / (1 / x),y,z) = L(R(x,y,z),x \ 1,x). L(R(x,y,z),x \ 1,x) = R(1 / (1 / x),y,z). 1 / (1 / x) != y | x * K(x \ 1,x) = y. K(x \ 1,x) * y != x \ 1 | T(1 / x,K(x \ 1,x)) = y. T(1 / x,K(x \ 1,x)) = 1 / x. (x \ 1) * L(y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((1 / x) * y). (x \ 1) \ (K(x \ 1,x) * y) != z | L((1 / x) \ y,1 / x,K(x \ 1,x)) = z. K(x \ 1,x) * y != (x \ 1) * z | y = L(x \ z,x,x \ 1). (1 / x) * y = L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1). L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1) = (1 / x) * y. 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((y / z) \ y,1 / z) | x = K(z,z \ 1). K(1 / (1 / x),1 / x) = K(x,x \ 1). 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). K(x,x \ 1) = K((x \ 1) \ 1,x \ 1). K((x \ 1) \ 1,x \ 1) = K(x,x \ 1). x * K(1 / x,x) = 1 / (1 / x). 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. R(1 / x,y,z) / (x \ 1) = x * R(x \ K(x,x \ 1),y,z). x * R(x \ K(x,x \ 1),y,z) = R(1 / x,y,z) / (x \ 1). (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,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. K(((x * y) \ x) \ (((x * y) \ x) * y),(x * y) \ x) * y = T(y,(x * y) \ x). K(x,(y * x) \ y) * x = T(x,(y * x) \ y). 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). R(1 / (1 / x),y,z) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). x \ T(x,x \ 1) = a(x,1 / x,x). x * (1 / x) = (1 / (1 / (1 / x))) * x. (1 / (1 / (1 / x))) * x = x * (1 / x). x != (1 / (y / (y / z))) * z | x = z / (y / (y / z)). x * (1 / x) = x / (1 / (1 / x)). x / (1 / (1 / x)) = x * (1 / x). x != y * (1 / y) | x = K(y,y \ 1). x / (1 / (1 / x)) = K(x,x \ 1). K(x,x \ 1) * (1 / (1 / x)) = x. K(x,x \ 1) \ x = 1 / (1 / x). x * L(y,1 / (1 / x),K(x,x \ 1)) = K(x,x \ 1) * ((1 / (1 / x)) * y). K(x,1 / x) * (1 / (1 / x)) = x. x != ((y \ z) \ z) \ u | x = T(y,y \ z) \ u. T(x \ 1,x) = T(x,x \ 1) \ 1. T(x,x \ 1) \ 1 = T(x \ 1,x). x != ((y \ z) \ z) \ z | x = T(y \ z,T(y,y \ z)). T(x \ 1,x) = T(x \ 1,T(x,x \ 1)). T(x \ 1,T(x,x \ 1)) = T(x \ 1,x). x * (K(x,x \ 1) * y) = K(x,x \ 1) * (x * y). K(x,x \ 1) * (x * y) = x * (K(x,x \ 1) * y). (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,(x \ 1) \ 1) * y. (1 / x) * (K(x \ 1,x) * ((1 / x) \ y)) = K(1 / 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). L((1 / x) \ y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((x \ 1) \ y). x != K(y,y \ 1) * (y * z) | x = T(y,y \ 1) * L(z,y,K(y,y \ 1)). x * (K(x,x \ 1) * y) = T(x,x \ 1) * L(y,x,K(x,x \ 1)). T(x,x \ 1) * L(y,x,K(x,x \ 1)) = x * (K(x,x \ 1) * y). L(K(L(x,y,z),1 / x),y,z) = K(L(x,y,z),L(x,y,z) \ 1). x != L(K(L(y,z,u),1 / y),z,u) | x = L(y,z,u) * ((L(y,z,u) / y) \ (1 / y)). K(L(x,y,z),L(x,y,z) \ 1) = L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)). L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = K(L(x,y,z),L(x,y,z) \ 1). x * y != K(x,x \ 1) | y = 1 / x. (L(x,y,z) / x) \ (1 / x) = 1 / L(x,y,z). L(T(K(x,(y * x) \ y),x),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). K(x,1 / x) * y != x | y = L(x,1 / x,x). 1 / (1 / x) = L(x,1 / x,x). L(x,1 / x,x) = 1 / (1 / x). T(1 / (1 / x),y) = L(T(x,y),1 / x,x). L(T(x,y),1 / x,x) = T(1 / (1 / x),y). x != T(1 / (1 / y),y \ 1) | x = y. L(T(x,x \ 1),1 / x,x) = x. 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). K(x,1 / x) * T(1 / (1 / x),y) = x * (T(x,y) / 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 * (T(x,y) / x)) * (K(x,x \ 1) \ 1) = T(x * (K(x,x \ 1) \ 1),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). 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 * L(y \ x,x \ y,y \ x)) = K(x \ y,(x \ y) \ 1). x * K(x \ y,(x \ y) \ 1) = y * L(y \ x,x \ y,y \ x). x * L(x \ y,y \ x,x \ y) = y * K(y \ x,(y \ x) \ 1). L(T(x,x \ 1),1 / x,x) = T(x,K(x,1 / x)). x != L(T(y,y \ 1),1 / y,y) | x = y. T(x,K(x,1 / x)) = x. T(K(x,1 / x),x) = K(x,1 / x). T(x,K(x,x \ 1)) = x. K(x,x \ 1) * L(x,y,z) = L(x,y,z) * K(x,x \ 1). L(x,y,z) * K(x,x \ 1) = K(x,x \ 1) * L(x,y,z). 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)). x * y != K(x,x \ 1) * z | y = K(x,x \ 1) * (x \ z). L(x,y,z) * (1 / x) = K(x,x \ 1) * (x \ L(x,y,z)). K(x,x \ 1) * (x \ L(x,y,z)) = L(x,y,z) * (1 / x). x != T(K(y,1 / y),y) | x = a(y,1 / y,y). K(x,1 / x) = a(x,1 / x,x). a(x,1 / x,x) = K(x,1 / x). x != a(y,1 / y,y) | x = y \ T(y,y \ 1). K(x,1 / x) = x \ T(x,x \ 1). x \ T(x,x \ 1) = K(x,1 / x). x != K(y,1 / y) | x = K(y,y \ 1). x \ T(x,x \ 1) = K(x,x \ 1). x \ T(x,x \ 1) != y | K(x,x \ 1) = y. x != y \ T(z,z \ u) | x = y \ ((z \ u) \ u). K(x,x \ 1) = x \ ((x \ 1) \ 1). x \ ((x \ 1) \ 1) = K(x,x \ 1). x * K(x,x \ 1) = T(x,x \ 1). (x \ 1) \ 1 = x * K(x,x \ 1). x * K(x,x \ 1) = (x \ 1) \ 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. 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). R(x * ((x \ R(x,y,z)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). (L(x \ 1,x,y) * x) * (1 / x) = (y * x) \ y. (x * y) \ x = (L(y \ 1,y,x) * y) * (1 / y). x * y != (z * u) \ z | L(u \ 1,u,z) / y = x. L(x \ 1,x,y) / (1 / x) = L(x \ 1,x,y) * x. 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). T(x,1 / T(x,y)) = T((y * T(x,y)) / y,T(x,y) \ 1). T((x * T(y,x)) / x,T(y,x) \ 1) = T(y,1 / T(y,x)). T(x,T(x,y) \ 1) = T(x,1 / T(x,y)). T(x,1 / T(x,y)) = T(x,T(x,y) \ 1). T(x,T(x,y) \ 1) / T(x,y) = x * (1 / T(x,y)). ((x * (1 / T(x,y))) / x) * T(x,y) = T(x,T(x,y) \ 1) / x. T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x,T(x,y) \ 1) / x. T(x,y) * ((T(x,y) \ x) / x) = T(x,T(x,y) \ 1) / x. x * (T(x,T(x,y) \ 1) / x) = T(x,x / (x * T(x,y))). (T(x,T(x,y) \ 1) / x) * x = T(x,x / (x * T(x,y))). T(x,T(x,y) \ 1) = T(x,x / (x * T(x,y))). T(x,x / (x * T(x,y))) = T(x,T(x,y) \ 1). 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). K(x \ 1,x) * L(1 / x,y,z) = (x \ 1) * (x * L(x \ 1,y,z)). K(x \ 1,x) * L(1 / x,y,z) != u | L(1 / x,y,z) * K(x \ 1,x) = u. L(1 / x,y,z) * K(x \ 1,x) = (x \ 1) * (x * L(x \ 1,y,z)). ((x \ 1) * (x * L(x \ 1,x,y))) * x = (x * ((y * x) \ y)) * K(x \ 1,x). x != (y * (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). x != L(y,z,u) * (1 / y) | x = K(y,y \ 1) * (y \ L(y,z,u)). L(x \ 1,y,z) / (1 / x) = K(1 / x,(1 / x) \ 1) * ((1 / x) \ L(1 / x,y,z)). K(1 / x,(1 / x) \ 1) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). K(x \ 1,x) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). K(x \ 1,x) * (x * L(x \ 1,y,z)) = L(x \ 1,y,z) / (1 / x). 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 != L(y \ 1,y,z) | x = (z * y) \ z. (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 != (z \ 1) * (z * ((u * z) \ u)) | x \ ((u * z) \ u) = y. T(x,x \ 1) \ ((y * (x \ 1)) \ y) = (x \ 1) * ((y * (x \ 1)) \ 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. L((x * ((y * x) \ y)) \ 1,x * ((y * x) \ y),x \ 1) = ((y * x) \ y) \ (x \ 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. x != (y \ z) \ z | x = T(y,y \ z). 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. 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). x != K(y,z) | x = K((u / y) \ u,z). K(x,x \ 1) = K((y / x) \ y,z \ (z / x)). K((x / y) \ x,z \ (z / y)) = K(y,y \ 1). T(K(x,y),(x * y) \ (y * x)) = T(K(x,y),K(x,y) \ 1). T(K(x,y),K(y,x)) = T(K(x,y),K(x,y) \ 1). T(K(x,y),K(x,y) \ 1) = T(K(x,y),K(y,x)). (K(x,y) \ 1) \ 1 = T(K(x,y),K(y,x)). T(K(x,y),K(y,x)) = (K(x,y) \ 1) \ 1. x != T(K(y,z),K(u,y)) | x = K(y,z). (K(x,y) \ 1) \ 1 = K(x,y). 1 / (1 / K(x,y)) = K(x,y). x != K(y,y \ 1) | x = y * (1 / y). K(x \ y,y \ x) = (x \ y) * (1 / (x \ y)). (x \ y) * (1 / (x \ y)) = K(x \ y,y \ x). K((x * y) \ x,((x * y) \ x) \ 1) = K((x * y) \ x,y). T(x \ (x / y),y) = ((x \ (x / y)) \ 1) \ 1. (x \ y) * (((y \ x) \ 1) \ 1) = (y \ x) * (x \ y). (x \ y) * (((y \ x) \ 1) \ 1) != z | (y \ x) * (x \ y) = z. x * (((x \ y) \ 1) \ 1) = y * K((y \ x) \ 1,y \ x). x * K((x \ y) \ 1,x \ y) = y * (((y \ x) \ 1) \ 1). x * R(1 / x,y,z) = R(1 / x,y,z) / (x \ 1). R(1 / x,y,z) / (x \ 1) = x * R(1 / x,y,z). (x / y) / ((y / x) \ 1) = (y / x) * R(1 / (y / x),y / x,x). (x / y) * R(1 / (x / y),x / y,y) = (y / x) / ((x / y) \ 1). (x / y) * (y / x) = (y / x) / ((x / y) \ 1). (x / y) / ((y / x) \ 1) = (y / x) * (x / y). ((x / y) * (y / x)) * ((x / y) \ 1) = y / x. x / (((x \ y) / y) \ 1) = ((x \ y) / y) * (y / (x \ y)). ((x \ y) / y) * (y / (x \ y)) = x / (((x \ y) / y) \ 1). ((x \ y) / y) / (x \ 1) = (y / (x \ y)) * ((x \ y) / y). (x / (y \ x)) * ((y \ x) / x) = ((y \ x) / x) / (y \ 1). ((x \ y) / y) * x = x / (((x \ y) / y) \ 1). x / (((x \ y) / y) \ 1) = ((x \ y) / y) * x. ((x \ y) / y) * R(((x \ y) / y) \ (((x \ y) / y) * x),z,u) = R(x,z,u) / (((x \ y) / y) \ 1). ((x \ y) / y) * R(x,z,u) = R(x,z,u) / (((x \ y) / y) \ 1). R(x,y,z) / (((x \ u) / u) \ 1) = ((x \ u) / u) * R(x,y,z). K(R(x,y,z) \ (((x \ R(x,y,z)) / R(x,y,z)) * R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). K(R(x,y,z) \ (x \ R(x,y,z)),R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). K(x \ 1,R(x,y,z)) = ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1). ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1) = K(x \ 1,R(x,y,z)). 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). (x \ y) \ (((y \ x) \ 1) \ L((y \ x) \ 1,y \ x,y)) = ((y \ x) \ 1) \ 1. (x \ y) \ (((y \ x) \ 1) \ (x \ y)) = ((y \ x) \ 1) \ 1. (x \ y) * (((y \ x) \ 1) \ 1) = ((y \ x) \ 1) \ (x \ y). 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) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (((y \ x) * (x \ y)) / (y \ x)) * ((x \ y) \ 1). ((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,T(1 / x,y),x) = T(x,(x * T(x \ 1,y)) / x). T(x,(x * T(x \ 1,y)) / x) = R(x,T(1 / x,y),x). T(x,T(1 / x,y)) = R(x,T(1 / x,y),x). R(x,T(1 / x,y),x) = T(x,T(1 / x,y)). R(T(x,T(1 / x,y)),z,u) = R(R(x,z,u),T(1 / x,y),x). R(R(x,y,z),T(1 / x,u),x) = R(T(x,T(1 / x,u)),y,z). T(x,T(1 / x,y)) * T(T(1 / x,y),x) = T(x * T(1 / x,y),x). R(T(x,T(1 / x,R(x,y,z))),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. T(x,T(1 / x,y)) * T(x \ 1,y) = T(x * T(1 / x,y),x). (x * (1 / y)) / x = T((x * (1 / y)) / x,T(y,z) / y). T((x * (1 / y)) / x,T(y,z) / y) = (x * (1 / y)) / x. x != T((T(y,z) * (1 / y)) / T(y,z),T(y,z) / y) | x = L(1 / y,T(y,z),1 / 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). (T(x,y) * (x \ 1)) / T(x,y) = L(x \ 1,T(x,y),1 / x). x * L(x \ 1,T(x,y),1 / x) = K(T(x,y),1 / x). T(K(T(x,y),1 / x),y) = T(x,y) * ((T(x,y) / x) \ (1 / x)). T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(K(T(x,y),1 / x),y). x != T(K(T(y,z),1 / y),z) | 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). (T(x,y) / x) \ (1 / x) = 1 / T(x,y). (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,(y / x) * (x / y)) = x / y. x * R(x \ T(y,x),z,u) = T(x * R(x \ y,z,u),x). x \ T(x * R(x \ y,z,u),x) = R(x \ T(y,x),z,u). x * y != z * R(z \ T(u,z),w,v5) | T(z * R(z \ u,w,v5),z) / y = x. T(x * R(x \ y,z,u),x) / x = R(T(y,x) / x,z,u). T(x * R(y,z,u),x) / x = R(T(x * y,x) / x,z,u). x != (y * z) * (z \ 1) | x = R(y,z,z \ 1). x * a(x,y,y \ 1) = R(x,y,y \ 1). x * y != (z * u) * (u \ 1) | x \ R(z,u,u \ 1) = y. x \ R(x,y,y \ 1) = a(x,y,y \ 1). x * y != (z * (z \ u)) * w | x \ (u * w) = y. x \ (y * ((x \ y) \ 1)) = a(x,x \ y,(x \ y) \ 1). a(x,x \ y,(x \ y) \ 1) = x \ (y * ((x \ y) \ 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 * 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 * 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. (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 * ((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 != z * T(u,z * u) | x \ ((u * (z * u)) / u) = y. x \ ((y * (x * y)) / y) = T(y,x * y). K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * (T((x \ y) * x,z) / x). x != y * (T((y \ z) * y,y) / y) | 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). (x \ y) * K(x,x \ 1) = T((y / x) * K(x,x \ 1),x). T((x / y) * K(y,y \ 1),y) = (y \ x) * K(y,y \ 1). x != T((y / z) * K(z,z \ 1),z) | x = z \ (y * K(z,z \ 1)). (x \ y) * K(x,x \ 1) = x \ (y * K(x,x \ 1)). x \ (y * K(x,x \ 1)) = (x \ y) * K(x,x \ 1). T((x / y) * K(y,y \ 1),y) != z * K(y,y \ 1) | y \ x = z. 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 != L(x,z,u) * K(x,x \ 1) | y = L(x,z,u) * (1 / x). (x \ L(x,y,z)) * K(x,x \ 1) = L(x,y,z) * (1 / x). x * (y * K(x,x \ 1)) = (x * y) * K(x,x \ 1). (x * y) * K(x,x \ 1) = x * (y * K(x,x \ 1)). R(x,y,K(x,x \ 1)) = x. ((1 / x) * y) * K(x \ 1,x) = (1 / x) * (y * K(1 / x,(1 / x) \ 1)). (1 / x) * (y * K(1 / x,(1 / x) \ 1)) = ((1 / x) * y) * K(x \ 1,x). (1 / x) * ((T(x,y) \ x) * K(1 / x,(1 / x) \ 1)) = ((T(x,y) \ x) / x) * K(x \ 1,x). x != ((T(y,z) \ y) / y) * K(y \ 1,y) | x = (y \ 1) * (T(y,z) \ y). (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). (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) \ (L(y,x,1 / x) * K(x \ 1,x)) = (x * y) * K(1 / x,(1 / x) \ 1). 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,L(x,y,z) * (x \ 1)) = x \ 1. R(x \ 1,L(x,y,z),x \ 1) = T(x \ 1,L(x,y,z)). L(x * T(x \ 1,L(x,y,z)),y,z) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = L(x * T(x \ 1,L(x,y,z)),y,z). K(L(x,y,z) \ 1,L(x,y,z)) = ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z). ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = K(L(x,y,z) \ 1,L(x,y,z)). x * y != K(y \ 1,y) | 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 * (y * L(y \ 1,z,u)) != y | x = (y * L(y \ 1,z,u)) \ y. 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. T(x * L(x \ 1,y,z),u) \ T(x,u) = L(1 / T(x,u),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 != (L(y,z,u) / y) \ (1 / y) | x = 1 / L(y,z,u). L(1 / (1 / x),y,z) \ 1 = 1 / L(x,y,z). 1 / (1 / L(x,y,z)) = L(1 / (1 / x),y,z). L(1 / x,y,z) \ 1 = 1 / L(x \ 1,y,z). 1 / L(x \ 1,y,z) = L(1 / x,y,z) \ 1. 1 / (1 / L(x \ 1,y,z)) = L(1 / x,y,z). 1 / (1 / ((x * y) \ z)) = L(1 / (1 / (y \ (x \ z))),y,x). L(1 / (1 / (x \ (y \ z))),x,y) = 1 / (1 / ((y * x) \ z)). T(1 / (1 / L(x,y,z)),1 / x) = L((1 / x) \ 1,y,z). (x * y) * (1 / (1 / ((x * y) \ z))) = x * (y * (1 / (1 / (y \ (x \ z))))). (x * y) * (1 / (1 / ((x * y) \ (x * z)))) = x * (y * (1 / (1 / (y \ z)))). T(x,y) = R(T(x,y),z,K(x,x \ 1)). R(T(x,y),z,K(x,x \ 1)) = T(x,y). x * y != z * (u * (u \ T(w,z))) | x \ (w * z) = y. R(x,y,z) \ (u * x) = x * (R(x,y,z) \ T(u,x)). x * (R(x,y,z) \ T(u,x)) = R(x,y,z) \ (u * x). T(x,T(T(x,y),z)) = x. (x \ 1) * K(x,1 / x) = 1 / x. x * y != K(z,z \ 1) | x \ (z \ ((z \ 1) \ 1)) = y. x \ (x \ ((x \ 1) \ 1)) = 1 / x. (1 / x) / K(x,1 / x) = x \ 1. (x * (x \ y)) \ z != u * w | u \ (y \ z) = w. T(x,y) * (x \ (T(x,y) \ z)) != u * w | (x \ z) / w = u. (x * y) / y != z * u | z \ x = u. 1 / (1 / ((x * y) \ x)) = L(1 / y,y,x). L(1 / x,x,y) = 1 / (1 / ((y * x) \ y)). (L(1 / x,y,z) \ 1) \ 1 = L(x \ 1,y,z). 1 / (1 / (x \ y)) = L(1 / (y \ x),y \ x,y). L(1 / (x \ y),x \ y,x) = 1 / (1 / (y \ x)). 1 / (1 / L(L(x \ 1,y,z),u,w)) = L(L(1 / x,y,z),u,w). L(1 / x,x,y) \ 1 = 1 / ((y * x) \ y). L(x,x \ 1,y) = 1 / (1 / ((y * (x \ 1)) \ y)). 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)). (1 / (x \ y)) * ((1 / (1 / (y \ x))) \ 1) = L(1 / (x \ y),x \ y,x) \ (1 / (x \ y)). L(1 / (x \ y),x \ y,x) \ (1 / (x \ y)) = (1 / (x \ y)) * ((1 / (1 / (y \ x))) \ 1). 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). x != K(y \ (y * z),u) | x = K(z,u). K(((x * y) \ x) \ 1,(x * y) \ x) = K(y,(x * y) \ x). x * K(y \ x,x \ y) = y * (((y \ x) \ 1) \ 1). (x * y) * K(y,(x * y) \ x) = x * T(y,(x * y) \ x). (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 * 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). 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 = (x / ((y \ 1) \ 1)) * K(y,y \ 1). (x / ((y \ 1) \ 1)) * K(y,y \ 1) = x / y. x * K(y,y \ 1) = (x / y) * T(y,y \ 1). (x / y) * T(y,y \ 1) = x * K(y,y \ 1). x * (1 / (1 / (x \ y))) = y * K(y \ x,(y \ x) \ 1). x * K(x \ y,(x \ y) \ 1) = y * (1 / (1 / (y \ x))). x * K(x \ y,y \ x) = y * (1 / (1 / (y \ x))). (x / y) * K(y,y \ 1) = x * (1 / (1 / (x \ (x / y)))). (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = (x * (y * z)) * (1 / (1 / ((x * (y * z)) \ ((x * (y * z)) / L(z,y,x))))). (x * (y * z)) * (1 / (1 / ((x * (y * z)) \ ((x * (y * z)) / L(z,y,x))))) = (x * y) * K(L(z,y,x),L(z,y,x) \ 1). (x * (y * z)) * (1 / (1 / ((x * (y * z)) \ (x * y)))) = (x * y) * K(L(z,y,x),L(z,y,x) \ 1). x != (y * z) * (1 / (1 / ((y * z) \ (y * u)))) | x = y * (z * (1 / (1 / (z \ u)))). (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * ((y * z) * (1 / (1 / ((y * z) \ y)))). (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / (1 / (z \ (y \ y)))))). (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / (1 / (z \ 1))))). (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / z))). (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * K(z,z \ 1)). x * (y * K(z,z \ 1)) != (x * y) * u | K(L(z,y,x),L(z,y,x) \ 1) = u. (x * y) * z != x * (y * K(u,u \ 1)) | K(L(u,y,x),L(u,y,x) \ 1) = z. (x \ 1) * R((x \ 1) \ 1,y,z) = T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)). T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = (x \ 1) * R((x \ 1) \ 1,y,z). x != (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 \ ((L(y,z,x) * x) * z) = z * R(T(y,x * z),x,z). x * y != z * R(T(u,w * z),w,z) | x \ (w \ ((L(u,z,w) * w) * z)) = y. x \ (y \ ((L(z,x,y) * y) * x)) = R(T(z,y * x),y,x). (x \ 1) \ (((y * x) \ y) \ (x \ 1)) = L(x \ 1,x,y) \ 1. (1 / x) * ((L(x,y,z) \ 1) * x) = T((1 / x) * (L(x,y,z) \ x),x). T((1 / x) * (L(x,y,z) \ x),x) = (1 / x) * ((L(x,y,z) \ 1) * x). 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)). T(x,y) * T((y \ (x * y)) \ (y \ z),u) = y \ ((x * y) * T((x * y) \ z,u)). T(x,y) * T(T(x,y) \ (y \ z),u) = y \ ((x * y) * T((x * y) \ z,u)). x \ ((y * x) * T((y * x) \ z,u)) = T(y,x) * T(T(y,x) \ (x \ z),u). x \ (y * (x * T(x \ (y \ z),u))) = T(y,x) * T(T(y,x) \ (x \ z),u). x != y \ (z * (y * T(y \ (z \ u),w))) | x = T(z * T(z \ (u / y),w),y). T(x,y) * T(T(x,y) \ (y \ z),u) = T(x * T(x \ (z / y),u),y). T(x,y) * T(T(x,y) \ z,u) = T(x * T(x \ ((y * z) / y),u),y). T(x * T(x \ ((y * z) / y),u),y) = T(x,y) * T(T(x,y) \ z,u). T(x * T(x \ y,z),u) = T(x,u) * T(T(x,u) \ T(y,u),z). T(x,y) * T(T(x,y) \ T(z,y),u) = T(x * T(x \ z,u),y). T(x,y) * T(T(x,y) \ 1,z) = T(x * T(x \ 1,z),y). (T(x,y) \ 1) * T(x,y) = T(x * T(x \ 1,T(x,y)),y). T(x * T(x \ 1,T(x,y)),y) = (T(x,y) \ 1) * T(x,y). T(x,y) \ T(x * T(x \ 1,z),y) = T(T(x,y) \ 1,z). T(x * T(x \ 1,y),z) = K(y \ (y / T(x,z)),y). x * T(y,z) != T(y * T(y \ 1,T(y,z)),z) | x = (y \ 1) / (y \ T(y,z)). T(x,y) \ 1 = (x \ 1) / (x \ T(x,y)). (x \ 1) / (x \ T(x,y)) = T(x,y) \ 1. T(T(x,y) \ 1,x \ T(x,y)) = (x \ T(x,y)) \ (x \ 1). 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(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(x \ T(x,y),z) = K(y \ (y / T(x \ 1,z)),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(x \ T(x,y),T(x,x \ 1)) = K(y \ (y / T(x \ 1,x)),y). x != K(y \ (y / T(z \ 1,u)),y) | x = T(z \ T(z,y),u). T(x \ T(x,y),T(x,x \ 1)) = T(x \ T(x,y),x). L(T(x \ T(x,y),x),x,y) = T((y * x) \ (x * y),T(x,x \ 1)). T((x * y) \ (y * x),T(y,y \ 1)) = L(T(y \ T(y,x),y),y,x). x != L(T(y \ T(z,u),w),y,u) | x = T((u * y) \ (z * u),w). T((x * y) \ (y * x),T(y,y \ 1)) = T((x * y) \ (y * x),y). T((x * y) \ (y * x),T(y,y \ 1)) = T(K(y,x),y). T(K(x,y),T(x,x \ 1)) = T(K(x,y),x). T(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. x != (y \ T(y,z)) \ (y \ 1) | x = 1 / T(T(y,y \ 1),z). T(x,y) \ 1 = 1 / T(T(x,x \ 1),y). 1 / T(T(x,x \ 1),y) = T(x,y) \ 1. (x \ T(x,y)) * ((x \ 1) \ (T(x,y) \ 1)) = 1. (x * T(x \ 1,y)) \ ((1 / x) \ 1) = T(1 / x,y) \ 1. (x \ T(x,y)) \ 1 = (x \ 1) \ (T(x,y) \ 1). (x \ 1) \ (T(x,y) \ 1) = (x \ T(x,y)) \ 1. 1 / T((x \ 1) \ 1,y) = T(x,y) \ 1. 1 / T(x,y) = T(1 / (1 / x),y) \ 1. T(1 / (1 / x),y) \ 1 = 1 / T(x,y). 1 / T(x \ 1,y) = T(1 / x,y) \ 1. 1 / (1 / T(x,y)) = T(1 / (1 / x),y). T(K(x,y),z) \ 1 = 1 / T(K(x,y),z). 1 / T(K(x,y),z) = T(K(x,y),z) \ 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)). (T(1 / x,y) \ 1) \ 1 = T(x \ 1,y). (T(x,y) \ 1) \ 1 = T((x \ 1) \ 1,y). ((x \ y) \ 1) \ 1 = T(((y / x) \ 1) \ 1,x). T(((x / y) \ 1) \ 1,y) = ((y \ x) \ 1) \ 1. x * ((T(y,x) \ 1) \ 1) = ((y \ 1) \ 1) * x. R(x,T(y,z) \ 1,T((y \ 1) \ 1,z)) / ((T(y,z) \ 1) \ 1) = x * (T(y,z) \ 1). (x / T(y,z)) * T((y \ 1) \ 1,z) = x * K(T(y,z),T(y,z) \ 1). x != T((((y * z) / y) \ u) \ u,y) | x = T(z,((y * z) / y) \ u). ((x \ (x * y)) \ 1) \ 1 = T(y,((x * y) / x) \ 1). T(x,((y * x) / y) \ 1) = ((y \ (y * x)) \ 1) \ 1. x * (((x \ y) \ 1) \ 1) = (((y / x) \ 1) \ 1) * x. (((x / y) \ 1) \ 1) * y = y * (((y \ x) \ 1) \ 1). (x * (((x \ y) \ 1) \ 1)) / x = ((y / x) \ 1) \ 1. ((R(x / y,y,z) \ 1) \ 1) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). T(x,T(x,y) \ 1) = (x \ 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). T(x,T(x,y) \ 1) = T(x,x \ 1). x * y != T(x,T(x,z) \ 1) | y = T(K(x,x \ 1),z). K(x,x \ 1) = T(K(x,x \ 1),y). T(K(x,x \ 1),y) = K(x,x \ 1). T(x,K(y,y \ 1)) = x. 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). T(K(x,(y * x) \ y),z) = K(x,x \ 1). x != (y * z) * K(z,z \ 1) | x = y * T(z,z \ 1). K(x,x \ 1) * (y * x) = y * T(x,x \ 1). x != K(y,y \ 1) * (1 / (1 / y)) | x = y. (1 / (1 / x)) * K(x,x \ 1) = x. ((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)) = L(T(z,y),y,K(x,x \ 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) * x = y * ((x \ 1) \ 1). x * T(y,y \ 1) = (K(y,y \ 1) * x) * y. (K(x,x \ 1) * y) * x = y * T(x,x \ 1). 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. K(x,x \ 1) * y != z | y * K(x,x \ 1) = z. T(x,K(y,1 / y)) = x. T(x,K(y \ 1,y)) = x. T(x,K(y \ z,z \ y)) = x. x * K(y \ 1,y) = K(y \ 1,y) * x. K(x \ 1,x) * y = y * K(x \ 1,x). T(K(x \ 1,x),y) = K(x \ 1,x). K(x \ 1,x) * y != z | y * K(x \ 1,x) = z. x * (K(y \ 1,y) * z) = x * (z * K(y \ 1,y)). (x * K(y \ 1,y)) / x = K(y \ 1,y). K(x \ 1,x) * y != z * K(x \ 1,x) | z = y. x != y * K(y \ 1,y) | x = 1 / (1 / y). K(x \ 1,x) * x = 1 / (1 / x). 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). K(x \ 1,x) \ ((y * (x \ 1)) * x) = R(y,x \ 1,x). (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) != u | L(T(z,y),y,K(x \ 1,x)) = u. (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) = R(T(z,y * K(x \ 1,x)),y,K(x \ 1,x)). (K(x \ 1,x) * y) \ ((y * (x \ 1)) * x) = a(y,x \ 1,x). (x * (y * (z * K(u \ 1,u)))) \ ((x * y) * (K(u \ 1,u) * z)) != w | a(x,y,z * K(u \ 1,u)) = w. (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,z,K(x,x \ 1)). 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). x * K(y \ 1,y) != z | K(y \ 1,y) * x = z. T((x \ 1) * x,y) = K(x \ 1,x). K(x \ 1,x) / T(x,y) = T(1 / T(x,y),x). x * K(x \ (x / T(x,y)),x) = 1 / (1 / x). x * y != z * K(z \ (z / T(z,u)),z) | x \ (1 / (1 / z)) = y. T(x,y) \ (1 / (1 / x)) = (T(x,y) \ 1) * x. x != (K(y,y \ 1) * z) \ ((u * z) * K(y,y \ 1)) | x = L(T(u,z),z,K(y,y \ 1)). R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) = L(T(x,y),y,K(z,z \ 1)). L(K(x,x \ 1),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). x != K(((y * z) \ y) \ 1,(y * z) \ y) | x = K(z,(y * z) \ y). L(K(x,x \ 1),x,y) = K(x,(y * x) \ y). L(K(x,x \ 1),x,y) \ 1 = K((y * x) \ y,((y * x) \ y) \ 1). K((x * y) \ x,((x * y) \ x) \ 1) = L(K(y,y \ 1),y,x) \ 1. T(x,L(K(y,y \ 1),y,z)) = x. L(x \ (K(y \ 1,y) \ ((x * (y \ 1)) * y)),x,K(y \ 1,y)) = a(x,y \ 1,y). L(x \ R(x,y \ 1,y),x,K(y \ 1,y)) = a(x,y \ 1,y). 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 != K(y,(z * y) \ z) | x = K(y,y \ 1). L(K(x,x \ 1),x,y) = K(x,x \ 1). L(K(x \ 1,x),1 / x,y) = K(1 / x,(1 / x) \ 1). x != K(1 / y,(1 / y) \ 1) | x = K(y \ 1,y). L(K(x \ 1,x),1 / x,y) = K(x \ 1,x). x / K(y \ 1,y) = (x / (y \ 1)) * (1 / y). (x / (y \ 1)) * (1 / y) = x / K(y \ 1,y). x * y != (z * u) / u | z / y = x. x / (1 / y) = (x * K(y \ 1,y)) / (y \ 1). (x * K(y \ 1,y)) / (y \ 1) = x / (1 / y). (x / (1 / y)) * (y \ 1) = x * K(y \ 1,y). x != (y / (z / 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 \ 1) = (x * (1 / y)) * K(y \ 1,y). (x * (1 / y)) * K(y \ 1,y) = x * (y \ 1). K(x \ 1,x) * (y * (1 / x)) = y * (x \ 1). R(x,1 / y,K(y \ 1,y)) = x. 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 * K(y \ 1,y)) * (1 / y) = x * (y \ 1). 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)). 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))). (x \ (x / (1 / (1 / y)))) \ 1 = 1 / (x \ (x / y)). 1 / (1 / (x \ (x / (y \ 1)))) = x \ (x / (1 / y)). x * (1 / (1 / (x \ y))) = x / (1 / (1 / (y \ x))). x / (1 / (1 / (y \ x))) = x * (1 / (1 / (x \ y))). x / (1 / (1 / ((x * y) \ x))) = x * (1 / (1 / y)). (x * (1 / (1 / (x \ y)))) \ x = 1 / (1 / (y \ x)). ((x * (1 / (1 / y))) \ x) \ 1 = 1 / ((x * y) \ x). x / L(y,y \ 1,x) = x * (1 / (1 / (y \ 1))). x / L(y,y \ 1,x) = x * (1 / y). (x * (1 / y)) \ x = L(y,y \ 1,x). L(x,x \ 1,y) = (y * (1 / x)) \ y. K(x \ (x / L(y,y \ 1,x)),z) = K(1 / y,z). 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). 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(K(y,z),T(y,y \ 1)) | x = T(K(y,z),y). K(T(x,x \ 1),y) = T(K(x,y),x). K((x \ 1) \ 1,y) = T(K(x,y),x). T(K(x,y),x) = K((x \ 1) \ 1,y). K(x \ 1,x) * (y / (x \ 1)) = y / (1 / x). 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 != 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,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). x != T(K(y,z),((z * y) \ z) \ 1) | x = (((z * y) \ z) \ 1) \ (((z * y) \ z) \ K(y,z)). T(K(x,y),x) = (((y * x) \ y) \ 1) \ (((y * x) \ y) \ K(x,y)). (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = T(K(y,x),y). (T(x,y) \ 1) * ((x \ 1) \ 1) = T(x,y) \ x. x * y != (T(z,u) \ 1) * ((z \ 1) \ 1) | (T(z,u) \ z) / y = x. (T(x,y) \ x) / x = (T(x,y) \ 1) * K(x,x \ 1). (T(x,y) \ 1) * K(x,x \ 1) = (T(x,y) \ x) / x. T(x,y) \ x != z | (T(x,y) \ 1) * T(x,x \ 1) = z. (x \ (x / y)) \ 1 = 1 / (x \ (x / ((y \ 1) \ 1))). 1 / (x \ (x / ((y \ 1) \ 1))) = (x \ (x / y)) \ 1. ((x \ (x / y)) \ 1) \ 1 = x \ (x / ((y \ 1) \ 1)). x * (((x \ (x / y)) \ 1) \ 1) = 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)). x * T(x \ (x / y),y) = x / ((y \ 1) \ 1). T(x \ (x / (1 / y)),1 / y) = x \ (x / (y \ 1)). x * (y \ (y / ((x \ 1) \ 1))) = (y \ (y / x)) * x. T(x \ (x / y),y) = x \ (x / T(y,y \ 1)). x \ (x / T(y,y \ 1)) = T(x \ (x / y),y). x != y / ((z \ u) \ u) | x = y / T(z,z \ u). x * T(x \ (x / y),y) = x / T(y,y \ 1). x != y * T(y \ (y / z),z) | x = (y / z) * K(z \ 1,z). x / T(y,y \ 1) = (x / y) * K(y \ 1,y). (x / y) * K(y \ 1,y) = x / T(y,y \ 1). (x / T(y,y \ 1)) * y = x * K(y \ 1,y). x * y = (x * T(y,y \ 1)) * K(y \ 1,y). (x * T(y,y \ 1)) * K(y \ 1,y) = x * y. (x / ((y \ 1) \ 1)) * y = x * K(y \ 1,y). K(x \ 1,x) * (y * T(x,x \ 1)) = y * x. x * y != z * K(y \ 1,y) | x * T(y,y \ 1) = z. x * K(y \ 1,y) != z * y | z * T(y,y \ 1) = x. (x * ((y \ 1) \ 1)) * K(y \ 1,y) = x * y. (x * y) * (1 / y) = (x * T(y,y \ 1)) * (y \ 1). (x * T(y,y \ 1)) * (y \ 1) = (x * y) * (1 / y). 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). R(x,y \ 1,y) = R(x,y \ 1,(y \ 1) \ 1). R(x,y \ 1,(y \ 1) \ 1) = R(x,y \ 1,y). 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. x * y != z * ((y \ 1) \ 1) | x = K(y,y \ 1) * z. x = K(y,y \ 1) * (x * K(y \ 1,y)). K(x,x \ 1) * (y * K(x \ 1,x)) = y. (K(x \ 1,x) * y) * ((x \ 1) \ 1) = y * x. (x * (y \ 1)) * ((y \ 1) \ 1) = (x * (1 / y)) * y. x != y * (z * K(u \ 1,u)) | x = y * (K(u \ 1,u) * z). x = K(y,y \ 1) * (K(y \ 1,y) * x). K(x,x \ 1) * (K(x \ 1,x) * y) = y. x * y != x * (z * K(u \ 1,u)) | y = K(u \ 1,u) * z. x = K(y \ 1,y) * (K(y,y \ 1) * 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. K(x,x \ 1) * (y * (x \ 1)) = y * (1 / x). K(x,x \ 1) * (y / (1 / x)) = y / (x \ 1). K(x \ 1,x) \ y = K(x,x \ 1) * y. x != K(y \ 1,y) * z | K(y,y \ 1) * x = z. K(x \ 1,x) * y != z | K(x,x \ 1) * z = y. K(x \ 1,x) * (y * K(x,x \ 1)) = y. x * K(y \ 1,y) != z | K(y,y \ 1) * z = x. x = (K(y \ 1,y) * x) * K(y,y \ 1). (K(x \ 1,x) * y) * K(x,x \ 1) = y. K(x \ 1,x) * y != (x \ 1) * (x * z) | y = L(z,x,x \ 1). ((x \ 1) * (x * y)) * K(x,x \ 1) = L(y,x,x \ 1). x * y != K(z \ 1,z) * (u * K(z,z \ 1)) | u / y = x. x / K(y \ 1,y) = x * K(y,y \ 1). x != K(y \ 1,y) * z | x * K(y,y \ 1) = z. K(x \ 1,x) * y != z | z * K(x,x \ 1) = y. L((x * K(y,y \ 1)) \ z,x * K(y,y \ 1),K(y \ 1,y)) = x \ (K(y \ 1,y) * z). K(x \ 1,x) * (y * x) = y * (1 / (1 / x)). x * y != (z * (u \ 1)) * ((u \ 1) \ 1) | T(x,y) = y \ R(z,u \ 1,u). T(x * (1 / y),y) = y \ R(x,y \ 1,y). x \ R(y,x \ 1,x) = T(y * (1 / x),x). x != (y * (z \ 1)) * ((z \ 1) \ 1) | x = R(y,z \ 1,z). (x * (1 / y)) * y = R(x,y \ 1,y). x * y != (z * (u \ 1)) * ((u \ 1) \ 1) | R(z,u \ 1,u) / y = x. R(x,y \ 1,y) / y = x * (1 / y). x * y != z * ((y \ 1) \ 1) | x = z * K(y,y \ 1). x * (1 / y) = (x * (y \ 1)) * K(y,y \ 1). (x * (y \ 1)) * K(y,y \ 1) = x * (1 / y). x * y = R(x / (1 / y),y \ 1,y). R(x / (1 / y),y \ 1,y) = x * y. x != (y * (1 / z)) * z | x = R(y,1 / z,z). R(x,y \ 1,y) = R(x,1 / y,y). R(x,1 / y,y) = R(x,y \ 1,y). R(x,y \ 1,y) \ (x * (1 / y)) != z | L(y \ 1,y,x * (1 / y)) = z. x \ R(x,y \ 1,y) = a(x,1 / y,y). (x * (y \ 1)) * y = R(x * K(y \ 1,y),y \ 1,y). R(x * K(y \ 1,y),y \ 1,y) = (x * (y \ 1)) * y. T(x * y,z) = R(T(x / (1 / y),z),y \ 1,y). R(T(x / (1 / y),z),y \ 1,y) = T(x * y,z). R(((x \ (x / (y \ 1))) * x) * K(y \ 1,y),y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 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 * K(y \ 1,y) != z | z * K(y,y \ 1) = x. x != K(y,y \ 1) * z | K(y \ 1,y) * x = z. K(x,x \ 1) * y != z | K(x \ 1,x) * z = y. R(x,y,y \ 1) = R(x,(y \ 1) \ 1,y \ 1). R(x,(y \ 1) \ 1,y \ 1) = R(x,y,y \ 1). (x * K(y,y \ 1)) * K(y \ 1,y) = (x / z) * z. (x / y) * y = (x * K(z,z \ 1)) * K(z \ 1,z). x * K(y \ 1,y) != z / (1 / y) | x = z / (y \ 1). (x / (1 / y)) * K(y,y \ 1) = x / (y \ 1). x * K(y \ 1,y) != z * (y \ 1) | x = z * (1 / y). x * K(y,y \ 1) = (x / (y \ 1)) * (1 / y). (x / (y \ 1)) * (1 / y) = x * K(y,y \ 1). K(x \ 1,x) * R(K(x,x \ 1) * (y * x),z,u) = (x \ R(x * y,z,u)) * x. K(x \ 1,x) * L(K(x,x \ 1) * (y * x),z,u) = (x \ L(x * y,z,u)) * x. K(x \ 1,x) * R(y * T(x,x \ 1),z,u) = (x \ R(x * y,z,u)) * x. K(x \ 1,x) * L(y * T(x,x \ 1),z,u) = (x \ L(x * y,z,u)) * x. K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = (x \ L(x * (y / x),z,u)) * x. (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. R((K(x,x \ 1) * y) / z,z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). L(T(x,y),y,K(z \ 1,z)) = R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)). R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = L(T(x,y),y,K(z \ 1,z)). ((x * y) * (1 / z)) / ((y * (z \ 1)) * K(z,z \ 1)) = R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)). T(x,((y * x) / y) \ 1) = (x \ 1) \ 1. (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. 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. 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) * 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 != 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 * y) \ x,y) = K(y,(x * y) \ x) \ 1. K(x,(y * x) \ y) \ 1 = K((y * x) \ y,x). x != K(y,(z * y) \ z) \ 1 | x = K(y \ 1,y). K((x * y) \ x,y) = K(y \ 1,y). K((x * y) \ y,T(x,y)) = K(T(x,y) \ 1,T(x,y)). K(T(x,y) \ 1,T(x,y)) = K((x * y) \ y,T(x,y)). K(L(x \ 1,x,y),x) = K(x \ 1,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)). K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(((y * x) / y) \ T(y,x),T(x / y,T(y,x))). x * K(T(y,x) \ 1,T(y,x)) = (y * x) * ((((y * x) \ x) \ 1) \ 1). (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(T(x,y) \ 1,T(x,y)). ((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). K(1 / T(x,y),(1 / T(x,y)) \ 1) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). K(T(x,y) \ 1,T(x,y)) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). x * T((T(y,x) \ 1) \ 1,z) = (T(y,z) * x) * K(T(T(y,x),z),T(T(y,x),z) \ 1). (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = z * T((T(x,z) \ 1) \ 1,y). (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = z * T(T((x \ 1) \ 1,z),y). (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = T((x \ 1) \ 1,y) * z. x != (y \ T(z,y)) * y | x = T((y \ z) * y,y). (x \ 1) * ((x \ ((x \ 1) \ y)) * x) = T((x \ (x * (y / x))) * x,x). T((x \ (x * (y / x))) * x,x) = (x \ 1) * ((x \ ((x \ 1) \ y)) * x). ((x * (y * (z \ 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). (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. (T(x,y) \ 1) * z != (T(x,y) \ x) / x | z = K(x,x \ 1). K(x,T(x,y) \ 1) = K(x,x \ 1). x != K(y,y \ 1) | x = T(K(y,y \ 1),z). K(x,T(x,y) \ 1) = T(K(x,x \ 1),z). T(K(x,x \ 1),y) = K(x,T(x,z) \ 1). K(x,T(x,y) \ 1) != z | z = K(x,x \ 1). K(x,T(x,y) \ 1) != z | K(x,x \ 1) = z. T(K(T(x,y),1 / x),z) = K(T(x,y),T(T(x,y),u) \ 1). x != T(K(T(y,z),1 / y),u) | x = K(T(y,z),1 / T(y,u)). K(T(x,y),T(T(x,y),z) \ 1) = K(T(x,y),1 / T(x,u)). K(T(x,y),T(x,y) \ 1) = K(T(x,y),1 / T(x,z)). K(T(x,y),T(x,y) \ 1) = K(T(x,y),x \ 1). 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). (x * y) * K(T(x,y),x \ 1) = ((x \ 1) \ 1) * y. T(x,y) * (y * x) != x * z | T(T(x,y * x) * y,x) = z. T(T(x,y * x) * y,x) = T(x,y) * T(y,x). T(x * (y / (x * y)),x) = T(x,y / (x * y)) * T(y / (x * y),x). T(x,y / (x * y)) * T(y / (x * y),x) = T(x * (y / (x * y)),x). T(x,y / (x * y)) * R(x \ 1,x,y) = T(x * (y / (x * y)),x). T(T((x * y) / x,z),y * x) = L(T(y,z),x,y). T(x / (y * x),y * (x / (y * x))) = x / (y * x). R(x / (y * x),y,x / (y * x)) = T(x / (y * x),y). 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)). 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). (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 * y != z \ (z * u) | u / y = x. K(x,y) / (x \ 1) = x * K(x,y). x * (((x \ y) \ 1) \ 1) = x / (((y \ x) \ 1) \ 1). x / (((y \ x) \ 1) \ 1) = x * (((x \ y) \ 1) \ 1). x \ T(x * L(y,z,u),x) = L(x \ T(x * y,x),z,u). x \ T(x * T(y,z),x) = T(x \ T(x * y,x),z). ((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 \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K((x \ 1) \ 1,x \ 1) * y. K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = (1 / x) * (x * (K(x \ 1,x) * 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). K(x \ 1,x) * L(T(y,K(x \ 1,x)),x,1 / x) = L(y * K(x \ 1,x),x,1 / x). L(x,y,1 / y) * K(y \ 1,y) = L(x * K(y \ 1,y),y,1 / y). (1 / x) \ L(y * K(x \ 1,x),x,1 / x) = (x * y) * K(1 / x,(1 / x) \ 1). x != (1 / y) \ L(z,y,1 / y) | x = y * z. (x * y) * K(1 / x,(1 / x) \ 1) = x * (y * K(x \ 1,x)). (x * y) * K(x \ 1,x) = x * (y * K(x \ 1,x)). R(x,y,K(x \ 1,x)) = x. (T(x,y) \ x) * K(x \ 1,x) = x * ((T(x,y) \ 1) * K(x \ 1,x)). x * ((T(x,y) \ 1) * K(x \ 1,x)) = (T(x,y) \ x) * K(x \ 1,x). T(x,y) = R(T(x,y),z,K(x \ 1,x)). R(T(x,y),z,K(x \ 1,x)) = T(x,y). T(x,y) \ K(x \ 1,x) = (T(x,y) \ 1) * K(x \ 1,x). (T(x,y) \ 1) * K(x \ 1,x) = T(x,y) \ K(x \ 1,x). x * (T(x,y) \ K(x \ 1,x)) = (T(x,y) \ x) * K(x \ 1,x). (T(x,y) \ x) * K(x \ 1,x) = x * (T(x,y) \ K(x \ 1,x)). x != y * (T(y,z) \ K(y \ 1,y)) | x = T(y,z) \ (1 / (1 / y)). (T(x,y) \ x) * K(x \ 1,x) = T(x,y) \ (1 / (1 / x)). (1 / x) * (T(x,y) \ (1 / (1 / x))) = (x \ 1) * (T(x,y) \ x). (1 / x) * ((T(x,y) \ 1) * x) = (x \ 1) * (T(x,y) \ x). x != (1 / y) * ((T(y,z) \ 1) * y) | x = T(y,z) \ 1. (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 != (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 \ (T(1 / x,y) \ 1) = T(1 / x,y) \ (1 / x). T(1 / x,y) \ (1 / x) = x \ (T(1 / x,y) \ 1). (R(x,y,z) \ R(T(x,u),y,z)) \ 1 = T(R(x,y,z),u) \ R(x,y,z). ((x / y) \ (y \ x)) \ 1 = T(x / y,y) \ (x / y). T(x / y,y) \ (x / y) = ((x / y) \ (y \ x)) \ 1. (x \ (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 \ 1,y)) \ 1 = T(1 / x,y) \ (1 / x). (x \ y) \ (y / x) = ((y / x) \ (x \ y)) \ 1. ((x / y) \ (y \ x)) \ 1 = (y \ x) \ (x / y). (((x * y) / x) \ y) \ 1 = (x \ (x * y)) \ ((x * y) / x). (x \ (x * y)) \ ((x * y) / x) = (((x * y) / x) \ y) \ 1. x \ ((y * x) / y) = (((y * x) / y) \ x) \ 1. (((x * y) / x) \ y) \ 1 = y \ ((x * y) / x). 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 \ 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 * y) \ (y * (x \ T(x,y))) = L(x \ 1,T(x,y),y). R((x * y) / z,u,w) * z = (R(x / (z / y),u,w) * (z / y)) * y. (R(x / (y / z),u,w) * (y / z)) * z = R((x * z) / y,u,w) * y. (R(1 / (x / y),z,u) * (x / y)) * y = R(y / x,z,u) * x. (R(1 / (x / y),z,u) * (x / y)) * y = x * R(x \ y,z,u). ((x / y) * R((x / y) \ 1,z,u)) * y = x * R(x \ y,z,u). (x * R(x \ y,z,u)) / y = (x / y) * R((x / y) \ 1,z,u). (x / y) * R((x / y) \ 1,z,u) = (x * R(x \ y,z,u)) / y. R(x,y,z) * R((((x * y) * z) / (y * z)) \ 1,u,w) = (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z). (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R((((x * y) * z) / (y * z)) \ 1,u,w). (((x * y) * z) * R(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * R(R(x,y,z) \ 1,u,w). (((x * y) * R((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * R(R(x,y,w) \ 1,z,u). (((x * R(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z). R(x * R(x \ 1,y,z),u,w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z). R(x,y,z) * R(R(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z). 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 * 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. T(x,R(T(x,y),z,u)) = x. R(T(x,x \ 1) * T(T(x,x \ 1) \ 1,x \ R(x,y,z)),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). R(T(x,x \ 1) * T(T(x \ 1,x),x \ R(x,y,z)),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). R(T(x,x \ 1) * T(x \ 1,x),y,z) = K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)). K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(T(x,x \ 1) * T(x \ 1,x),y,z). T(x,y) = (y \ 1) * ((y \ ((y \ 1) \ x)) * y). (x \ 1) * ((x \ ((x \ 1) \ y)) * x) = T(y,x). x * y != (z \ 1) * ((z \ ((z \ 1) \ u)) * z) | T(u,z) / y = x. T(x,y) / y = y \ T(y * (x / y),y). x \ T(x * (y / x),x) = T(y,x) / x. (x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x). (x \ 1) * (y * x) = T((x \ 1) * (x * y),x). T((x \ 1) * (x * y),x) = (x \ 1) * (y * x). (x \ 1) * (K(y \ x,y) * x) = T((x \ 1) * ((y \ x) * y),x). x \ T(x * T((x * y) / x,z),x) = T(x * T(y,z),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). x * T(1 / x,y) = T(x * T(1 / x,y),x). T(x * T(1 / x,y),x) = x * T(1 / x,y). x != T(y * T(1 / y,z),y) | x = T(y,T(1 / y,z)) * T(y \ 1,z). x * T(1 / x,y) = T(x,T(1 / x,y)) * T(x \ 1,y). T(x,T(1 / x,y)) * T(x \ 1,y) = x * T(1 / x,y). T(x / y,z) \ (y \ x) = (y \ x) * (T(x / y,z) \ 1). (x \ y) * (T(y / x,z) \ 1) = T(y / x,z) \ (x \ y). ((x \ y) \ y) * (T(x,z) \ 1) = T(y / (x \ y),z) \ ((x \ y) \ y). T(x / (y \ x),z) \ ((y \ x) \ x) = ((y \ x) \ x) * (T(y,z) \ 1). T(x,y) \ ((x \ z) \ z) = ((x \ z) \ z) * (T(x,y) \ 1). ((x \ y) \ y) * (T(x,z) \ 1) = T(x,z) \ ((x \ y) \ y). x * ((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). x * ((x * R(x \ 1,y,z)) / x) = T(x * ((x * R(x \ 1,y,z)) / x),x). T(x * ((x * R(x \ 1,y,z)) / x),x) = x * ((x * R(x \ 1,y,z)) / x). T(x * ((x * R(x \ 1,y,z)) / x),x) = x * R(1 / x,y,z). T(x * R(1 / x,y,z),x) = x * R(1 / x,y,z). T(x * (y / (x * y)),x) = x * R(1 / x,x,y). T(x * (y / (x * y)),x) = x * (y / (x * y)). T(x,x * (y / (x * y))) = x. 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 / (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 * x)) * y,x / (y * x)) = (x / (y * x)) * y. R(x \ 1,x,y) \ ((y / (x * y)) * x) = T(x,y / (x * y)). T(x,R(x \ 1,x,y)) = T(x,y / (x * y)). (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)). K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = x \ T(x,y / (x * y)). (x * R(x \ 1,x,y)) \ (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 * (((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 * (y * R(z,u,w))) / (x * y) = R((x * (y * z)) / (x * y),u,w). (x / y) * (y * L(y \ ((x / y) \ z),u,w)) = x * L(x \ z,u,w). x * y != (z / u) * (u * L(u \ ((z / u) \ w),v5,v6)) | (z * L(z \ w,v5,v6)) / y = x. (x * L(x \ y,z,u)) / y = (x / y) * L((x / y) \ 1,z,u). (x / y) * L((x / y) \ 1,z,u) = (x * L(x \ y,z,u)) / y. R(x,y,z) * L((((x * y) * z) / (y * z)) \ 1,u,w) = (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z). (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L((((x * y) * z) / (y * z)) \ 1,u,w). (((x * y) * z) * L(((x * y) * z) \ (y * z),u,w)) / (y * z) = R(x,y,z) * L(R(x,y,z) \ 1,u,w). (((x * y) * L((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * L(R(x,y,w) \ 1,z,u). (((x * L(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). R(x * L(x \ 1,y,z),u,w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). R(x,y,z) * L(R(x,y,z) \ 1,u,w) = R(x * L(x \ 1,u,w),y,z). R(x,y,z) * 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) * ((R(x,y,z) / x) \ (1 / x)) = R(x * L(x \ 1,R(x,y,z),1 / x),y,z). R(x * L(x \ 1,R(x,y,z),1 / x),y,z) = R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)). R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * T(1 / x,1),y,z). R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * (1 / x),y,z). R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(K(x,x \ 1),y,z). L(T(x / ((1 / x) * x),y),z,u) / x = L(T(1 / (1 / x),y),z,u) * (1 / x). 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. R(x,y,z) * R(R(x,y,z) \ 1,x,x \ 1) = R(x * T(1 * (x \ 1),x),y,z). (1 / x) * y != R(1 / x,z,u) | y = x * R(x \ 1,z,u). 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). x \ R(x,y,y \ 1) != z | z = a(x,y,y \ 1). x \ R(x,y,y \ 1) != z | a(x,y,y \ 1) = z. (x * y) \ (x * R(y,z,z \ 1)) != u | L(a(y,z,z \ 1),y,x) = u. (x * (y * z)) \ ((x * y) * R(L(z,y,x),u,u \ 1)) = L(a(L(z,y,x),u,u \ 1),L(z,y,x),x * y). x != R(y,z,u) * R(R(y,z,u) \ 1,y,y \ 1) | x = R(y * T(1 * (y \ 1),y),z,u). 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). (1 / x) / K(x,1 / x) != y | R(1 / x,x,1 / x) = y. R(1 / x,x,1 / x) = x \ 1. R(x \ 1,x,y) = R(y / (x * y),x,1 / x). R(x / (y * x),y,1 / y) = R(y \ 1,y,x). R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = x * (1 / x). R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = K(x,x \ 1). (x * (1 / (1 / T(y,x)))) \ x = 1 / (1 / ((y * x) \ x)). (x * T(1 / (1 / y),x)) \ x = 1 / (1 / ((y * x) \ x)). ((1 / (1 / x)) * y) \ y = 1 / (1 / ((x * y) \ y)). 1 / (1 / ((x * y) \ y)) = ((1 / (1 / x)) * y) \ y. (((1 / (1 / x)) * y) \ y) \ 1 = 1 / ((x * y) \ y). (((1 / x) * y) \ y) \ 1 = 1 / (((x \ 1) * y) \ y). 1 / (((x \ 1) * y) \ y) = (((1 / x) * y) \ y) \ 1. ((((1 / x) * y) \ y) \ 1) \ 1 = ((x \ 1) * y) \ y. 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). x * ((x * R(x \ 1,y,z)) * u) = (x * R(x \ 1,y,z)) * (x * u). (x * R(x \ 1,y,z)) * (x * u) = x * ((x * R(x \ 1,y,z)) * u). (x \ R(x,y,z)) * ((x \ 1) * u) = (x \ 1) * (((x \ 1) * R((x \ 1) \ 1,y,z)) * u). (x \ 1) * (((x \ 1) * R((x \ 1) \ 1,y,z)) * u) = (x \ R(x,y,z)) * ((x \ 1) * u). (x \ 1) * ((x \ R(x,y,z)) * u) = (x \ R(x,y,z)) * ((x \ 1) * u). (x \ R(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ R(x,y,z)) * u). (x \ R(x,y,z)) \ (x \ 1) = (x \ 1) * ((x \ R(x,y,z)) \ 1). (x \ 1) * ((x \ R(x,y,z)) \ 1) = (x \ R(x,y,z)) \ (x \ 1). (x * (y * T(y \ 1,z))) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)). (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * (y * T(y \ 1,u))) * z. T(x,y) = R(T(x,y * K(x,x \ 1)),y,K(x,x \ 1)). R(T(x,y * K(x,x \ 1)),y,K(x,x \ 1)) = T(x,y). x != R(T(y,z),u,K(y,y \ 1)) | x = T(y,z). T(x,y) = T(x,y * K(x,x \ 1)). T(x,y * K(x,x \ 1)) = T(x,y). T(x,y) = T(x,K(x \ 1,x) * y). T(x,K(x \ 1,x) * y) = T(x,y). K(x \ 1,x) * T(K(x \ 1,x) \ y,z) = (x \ 1) * (x * T(x \ ((x \ 1) \ y),z)). 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. K(x \ 1,x) * T(K(x,x \ 1) * y,z) = (x \ T(x * (y / x),z)) * 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 / 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 \ 1) \ 1) = K(y \ 1,y) * (x / y). K(x \ 1,x) * (y / x) = y / ((x \ 1) \ 1). (L(x,y,z) * (z * y)) \ (x * (z * y)) = a(z,y,T(x,z * y)). (L(x,y \ z,y) * z) \ (x * (y * (y \ z))) = a(y,y \ z,T(x,y * (y \ z))). (L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,y * (y \ z))). a(x,x \ y,T(z,x * (x \ y))) = (L(z,x \ y,x) * y) \ (z * y). a(x,x \ y,T(z,y)) = (L(z,x \ y,x) * y) \ (z * y). (L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,z)). x != T(R(y,z,u),w) | x = R(T(y,w),z,u). T(T(R(x,y,z),u),w) = R(T(T(x,w),u),y,z). T(T(R(x / y,z,u),w),y) = R(T(y \ x,w),z,u). x * K(y,1 / y) = K(y,1 / y) * x. K(x,1 / x) * y = y * K(x,1 / x). x * K(y \ z,z \ y) = K(y \ z,z \ y) * x. K(x \ y,y \ x) * z = z * K(x \ y,y \ x). (x * K(y \ z,z \ y)) / x != u | u = K(y \ z,z \ y). (x * K(y \ z,z \ y)) / x != u | K(y \ z,z \ y) = u. x \ T(y,y \ z) != u | x \ ((y \ z) \ z) = u. (1 * x) / y != z * u | z \ (x / y) = u. L(1 / x,x,y) = (y * (1 / (1 / x))) \ y. (x * (1 / y)) * y != z | z = R(x,y \ 1,y). (x * (1 / y)) * y != z | R(x,y \ 1,y) = z. T(x,x \ y) = T((x \ y) \ y,x * ((x \ z) / z)). T((x \ y) \ y,x * ((x \ z) / z)) = T(x,x \ y). x * y != R(T(z,z \ u),w,v5) | x \ R((z \ u) \ u,w,v5) = y. ((x \ y) \ y) \ R((z \ u) \ u,w,v5) = T(x,x \ y) \ R(T(z,z \ u),w,v5). T(x,x \ y) \ R(T(z,z \ u),w,v5) = ((x \ y) \ y) \ R((z \ u) \ u,w,v5). x / T(y,y \ z) != u | u = x / ((y \ z) \ z). x / T(y,y \ z) != u | x / ((y \ z) \ z) = u. x \ (y * T(y \ x,y)) != z | K(y \ 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. T(T(x,x / y) / y,x) = 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)). T(x * y,(x \ 1) \ y) = x * y. T(T((x * y) / (z * y),u),z) = R(T(z \ x,u),z,y). 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 \ 1) * y) \ T((x \ 1) * y,x) = L(K(x \ y,x),y,x \ 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 * R(T(y,y * x),z,u) = L(R(y,z,u),x,y) * x. K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = ((x \ y) * T(x,x \ y)) / y. K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = y / y. 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). (L(x,y,z) \ 1) \ 1 = L((x \ 1) \ 1,y,z). ((x \ (y * z)) \ 1) \ 1 = L((((y \ x) \ z) \ 1) \ 1,y \ x,y). L((((x \ y) \ z) \ 1) \ 1,x \ y,x) = ((y \ (x * z)) \ 1) \ 1. (x * ((y \ 1) \ 1)) / x = (((x * y) / x) \ 1) \ 1. (x * T(x \ y,y \ x)) / x = ((y / x) \ 1) \ 1. x != (y / z) * R((y / z) \ 1,y / z,z) | x = (1 / (y / z)) \ (z / y). (x / y) * (y / x) = (1 / (y / x)) \ (x / y). (1 / (x / y)) \ (y / x) = (y / x) * (x / y). (1 / ((x \ y) / y)) \ x = (y / (x \ y)) * ((x \ y) / y). (x / (y \ x)) * ((y \ x) / x) = (1 / ((y \ x) / x)) \ y. x * ((x \ y) / y) = (1 / ((x \ y) / y)) \ x. (1 / ((x \ y) / y)) \ x = x * ((x \ y) / y). (1 / ((x \ y) / y)) * (x * ((x \ y) / y)) = x. T(1 / ((x \ y) / y),x * ((x \ y) / y)) = (x * ((x \ y) / y)) \ x. x != T(1 / ((y \ z) / z),y * ((y \ z) / z)) | x = 1 / ((y \ z) / z). (x * ((x \ y) / y)) \ x = 1 / ((x \ y) / y). ((x / y) * (y / x)) \ (x / y) = 1 / (((x / y) \ x) / x). ((x / y) * (y / x)) \ (x / y) = 1 / (y / x). ((x / y) * (y / x)) * (1 / (y / x)) = x / y. K(1 / (x / y),(y / x) * (x / y)) = 1. x / (1 / (y / (x * y))) = ((x * y) / y) * (y / (x * y)). ((x * y) / y) * (y / (x * y)) = x / (1 / (y / (x * y))). x * (y / (x * y)) = x / (1 / (y / (x * y))). x / (1 / (y / (x * y))) = x * (y / (x * y)). (x * (y / (x * y))) \ x = 1 / (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). K(1 / x,(y / (x * y)) * ((x * y) / y)) = 1. K(1 / x,(y / (x * y)) * x) = 1. T(1 / x,(y / (x * y)) * x) = 1 / x. L(x \ 1,x,y / (x * y)) = 1 / x. L(x \ 1,x,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. T(1 / (1 / x),y / (x * y)) = x. T(x,x \ 1) = T(x,y / (x * y)). T(x,y / (x * y)) = T(x,x \ 1). T(x,y / (x * y)) = (x \ 1) \ 1. x * y != T(z,z \ 1) | x \ T(z,u / (z * u)) = y. x \ T(x,y / (x * y)) = K(x,x \ 1). K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,y \ 1) * x. T(x / y,y / x) = ((x / y) \ 1) \ 1. T(x / (y * x),y) = ((x / (y * x)) \ 1) \ 1. ((((x * y) / x) \ 1) \ 1) * x = x * T(y,x / (x * y)). (x * ((y / z) \ 1)) * T(y / z,z / y) = R(x,(y / z) \ 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 / (x * y)) \ 1) \ 1) = (y / (x * y)) * x. R(R(x,y,z) \ 1,R(x,y,z),y * z) = (((y * z) / ((x * y) * z)) \ 1) \ 1. x != y \ T(y,z / (y * z)) | x = K(y,z / (y * z)). K(x,x \ 1) = K(x,y / (x * y)). K(x,y / (x * y)) = K(x,x \ 1). ((((x * y) / ((z * x) * y)) \ 1) \ 1) * ((z * x) * y) = ((R(z,x,y) \ 1) * R(z,x,y)) * (x * y). x != (((y / z) \ 1) \ 1) * z | x = z * (((z \ y) \ 1) \ 1). ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1). ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z). T(x,((y * x) / y) \ 1) = T(x,y / (y * x)). x != T(y,((z * y) / z) \ 1) | x = (y \ 1) \ 1. 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. T((x * y) \ y,x) = (((x * y) \ y) \ 1) \ 1. T(x \ (y \ x),y) = ((x \ (y \ x)) \ 1) \ 1. 1 / T(x \ (y \ x),y) = (x \ (y \ x)) \ 1. R(x \ 1,x,y) \ (y / (x * y)) = K(x,x \ 1). x * K(y,y \ 1) != z / (y * z) | x = R(y \ 1,y,z). z / (y * z) != x * K(y,y \ 1) | x = R(y \ 1,y,z). x / (y * x) != z * K(y,y \ 1) | R(y \ 1,y,x) = z. R(x \ 1,x,y) = K(x \ 1,x) * (y / (x * y)). K(x \ 1,x) * (y / (x * y)) = R(x \ 1,x,y). x * (y / (z * y)) != R(z \ 1,z,y) | 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). K((x / (y * x)) \ 1,x / (y * x)) = K(y,x / (y * 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. (x * y) * K(x,x \ 1) = T(x,x \ 1) * y. T(x,x \ 1) \ (K(x,x \ 1) * y) = x \ y. L(x,y,K(y,y \ 1)) = x. x * y != K(z,z \ 1) * (z * u) | (T(z,z \ 1) * u) / y = x. (T(x,x \ 1) * y) / (K(x,x \ 1) * y) = x. 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(1 / y,y)) = x. L(x,1 / y,K(y \ 1,y)) = x. L(x,1 / (1 / y),K(y,y \ 1)) = x. x * y = K(x,x \ 1) * ((1 / (1 / x)) * y). K(x,x \ 1) * ((1 / (1 / x)) * y) = x * y. K(x \ 1,x) * (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). K(x \ 1,x) * y = (1 / (1 / x)) * (x \ y). (1 / (1 / x)) * (x \ y) = K(x \ 1,x) * y. x != K(y \ 1,y) * (y * z) | x = y * (K(y \ 1,y) * z). (1 / (1 / x)) * y = x * (K(x \ 1,x) * y). x * (K(x \ 1,x) * y) = (1 / (1 / x)) * y. x != K(y \ 1,y) * (z * y) | x = z * (1 / (1 / y)). (1 / (1 / x)) * (x \ (y * x)) = y * (1 / (1 / x)). (1 / (1 / x)) * y != (1 / (1 / x)) * (x \ (z * x)) | T(z,1 / (1 / x)) = y. T(x,1 / (1 / y)) = T(x,y). T(x,1 / y) = T(x,y \ 1). T(x,y) = T(x,(y \ 1) \ 1). T(x,(y \ 1) \ 1) = T(x,y). T(x,L(1 / y,y,z)) = T(x,(z * y) \ z). x != y | x = T(y,K(z,z \ 1)). T(x,(y \ 1) \ 1) = T(T(x,y),K(z,z \ 1)). T(T(x,y),K(z,z \ 1)) = T(x,(y \ 1) \ 1). ((x \ 1) \ 1) * T(y,x) = y * ((x \ 1) \ 1). x * T(y,(x \ 1) \ 1) = y * x. T(x,T(y,y \ 1)) = T(x,y). T(x,T(y \ z,z \ y)) = T(x,y \ z). T(x,T(y \ 1,z)) = T(x,T(1 / y,z)). T(x,T(1 / y,z)) = T(x,T(y \ 1,z)). T(x,R(y \ 1,y,z)) = T(x,z / (y * z)). T(x,T(y \ (z \ y),z)) = T(x,y \ (z \ 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)). 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 != (y * ((z * (y \ 1)) / z)) * (y * u) | x = y * ((y * ((z * (y \ 1)) / z)) * u). T(x * y,R(x \ 1,x,x * y)) = x * ((x * (((x * y) * (x \ 1)) / (x * y))) * y). x * ((x * (((x * y) * (x \ 1)) / (x * y))) * y) = T(x * y,R(x \ 1,x,x * y)). 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. (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. ((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. (x \ 1) \ (K(x \ 1,x) * y) = (1 / x) \ y. K(x \ 1,x) * y = (x \ 1) * ((1 / x) \ y). (x \ 1) * ((1 / x) \ y) = K(x \ 1,x) * y. (1 / x) * (x * y) = L(y,x,x \ 1). ((x * K(y \ 1,y)) * ((1 / y) * z)) / ((y \ 1) * z) = R(x,K(y \ 1,y),(1 / y) * z). ((x \ 1) * y) \ (K(x \ 1,x) * ((1 / x) * (y * z))) = L(L(z,y,1 / x),(1 / x) * y,K(x \ 1,x)). T(x,(x \ 1) * y) = T(x,(1 / x) * y). T(x,(1 / x) * y) = T(x,(x \ 1) * y). (1 / x) \ L(y,x,x \ 1) = x * y. L(T(x,y),y,y \ 1) = (1 / y) * (x * y). L(x,y,y \ 1) = L(x,y,1 / y). L(x,y,1 / y) = L(x,y,y \ 1). L(x \ y,x,x \ 1) != z | (1 / x) * y = z. (1 / x) * L(y,x \ 1,x) = L((x \ 1) * y,x,x \ 1). ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = ((y \ 1) * (y * x)) \ (y * x). L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,1 / y). x * K(y \ 1,y) = (y \ 1) * ((1 / y) \ x). (x \ 1) * ((1 / x) \ y) = y * K(x \ 1,x). x != ((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. ((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) * y = (1 / x) * (K(x \ 1,x) * y). (1 / x) * (K(x \ 1,x) * y) = (x \ 1) * y. (1 / x) * (y * x) = (x \ 1) * (y * T(x,x \ 1)). (x \ 1) * (y * T(x,x \ 1)) = (1 / x) * (y * x). (1 / x) * y = (x \ 1) * (K(x,x \ 1) * y). (x \ 1) * (K(x,x \ 1) * y) = (1 / x) * y. (x \ 1) * (y / (x \ 1)) = (1 / x) * (y / (1 / x)). (1 / x) * (y / (1 / x)) = (x \ 1) * (y / (x \ 1)). ((x \ y) * z) * K(y \ x,x \ y) = (1 / (1 / (x \ y))) * z. ((1 / (1 / x)) * y) * (1 / x) = (x * y) * (x \ 1). ((x \ (x / y)) * z) * K(y,y \ 1) = (1 / (1 / (x \ (x / y)))) * z. ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / (1 / (x \ (x / (y \ 1))))) * z. ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (x \ (x / (1 / y))) * z. R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * (y \ T(y,x))) * y. x \ L(y,1 / x,x) = (x \ 1) * y. (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. x != (y / (z \ y)) * u | x = z * u. L((x \ 1) \ y,x \ 1,(x \ 1) \ 1) = x * y. 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 = L(((x \ 1) \ 1) \ y,x,x \ 1). L(((x \ 1) \ 1) \ y,x,x \ 1) = (x \ 1) * y. x != T(y,y \ z) * u | x = ((y \ z) \ z) * u. (x * y) * K(x,x \ 1) = ((x \ 1) \ 1) * y. K(x \ 1,x) * (((x \ 1) \ 1) * y) = x * y. (x * y) * z != ((x \ 1) \ 1) * y | z = K(T(x,y),x \ 1). K(x,x \ 1) = K(T(x,y),x \ 1). K(T(x,y),x \ 1) = K(x,x \ 1). 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 != 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)). (T(x,y) * z) * K(T(x,z),T(x,z) \ 1) = T((x \ 1) \ 1,y) * z. 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). x != (T(y,z) \ y) / y | x = (1 / 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(x,y)) * x = T(x,y) \ x. ((T(x,y) \ x) / x) \ 1 = T(x,y). T(1 / T(x,y),x) = T(x,y) \ 1. x / T(x,y) = T(x,y) \ x. T(x,y) \ x != z | x / T(x,y) = z. (T(x,y) \ x) * T(x,y) = x. (T(x,y) \ x) \ x = T(x,y). 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). T(x,K(y,x)) = x. x * K(y,x) = K(y,x) * x. K(x,y) * y = y * K(x,y). (x * K(y,x)) / x = K(y,x). x * L(K(y,x),z,u) = L(K(y,x),z,u) * x. L(K(x,y),z,u) * y = y * L(K(x,y),z,u). (x * K(y,x)) / x != z | z = K(y,x). (x * K(y,x)) / x != z | K(y,x) = z. 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),y,(y * K(x,y)) \ z) \ z = y * ((y * K(x,y)) \ z). 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). (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 != (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). K(x \ 1,x) * K(y,x) = (x \ 1) * (x * K(y,x)). (x \ R(x,y,z)) / R(x,y,z) = x \ K(R(x,y,z),x \ 1). K(x,K(y,x)) = 1. T(x,y) = T(T(x,y),K(z,x)). T(T(x,y),K(z,x)) = T(x,y). K(x,y) * L(y,z,u) = L(y,z,u) * K(x,y). L(x,y,z) * K(u,x) = K(u,x) * L(x,y,z). K(x,y) * T(y,z) = T(y,z) * K(x,y). T(x,y) * K(z,x) = K(z,x) * T(x,y). 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,x)) = x. (x * y) * K(y,x) = y * ((K(y,x) \ x) * K(y,x)). x * ((K(x,y) \ y) * K(x,y)) = (y * x) * K(x,y). T(x,x \ ((y * x) / y)) = x. T(x,T(K(y,x),z)) = x. x * y != (z * x) * K(x,z) | y = z. (K(x,y) \ y) * K(x,y) = y. x / K(y,x) = K(y,x) \ x. ((x * y) / x) / y = y \ ((x * y) / x). x != ((y * z) / y) / z | x = (1 / z) * ((y * z) / y). x \ ((y * x) / y) = (1 / x) * ((y * x) / y). (1 / x) * ((y * x) / y) = x \ ((y * x) / y). x * (((y * x) / y) / x) = (y * x) / y. R(x / (x / y),z,u) / R(y,z,u) = R(y,z,u) \ (((x / y) * R(y,z,u)) / (x / y)). R(x,y,z) \ (((u / x) * R(x,y,z)) / (u / x)) = R(u / (u / x),y,z) / R(x,y,z). (x \ 1) * (x * ((y * (x \ 1)) / y)) = (y * (x \ 1)) / y. (x \ T(x,y)) * y = y * (x \ T(x,y)). (x \ T(x,y)) * T(y,z) != u | T(y,z) * (x \ T(x,y)) = u. x != T(1 / T(y,z),y) | x = K(y \ 1,y) / T(y,z). T(x,y) \ 1 = K(x \ 1,x) / T(x,y). K(x \ 1,x) / T(x,y) = T(x,y) \ 1. (T(x,y) \ 1) * T(x,y) = K(x \ 1,x). K(T(x,y) \ 1,T(x,y)) = K(x \ 1,x). T(x,y) * K(x \ 1,x) = T(1 / (1 / x),y). K(x \ 1,x) * (y * T(x,z)) = y * (1 / (1 / T(x,z))). (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(x \ 1,x). K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / ((1 / T(x,z)) \ 1). x * K(y \ 1,y) != T(1 / (1 / y),z) | x = y * (T(y,z) / y). T(x,y) = x * (T(x,y) / x). x * (T(x,y) / x) = T(x,y). x \ T(x,y) = T(x,y) / x. T(x,y) / x = x \ T(x,y). x \ T(x,y) != z | z = T(x,y) / x. x \ T(x,y) != z | T(x,y) / x = z. (x \ T(x,y)) * x = T(x,y). T(x,x \ T(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)). T(x,y) \ ((x \ T(x,y)) * (x * z)) = L(z,x,x \ T(x,y)). (T(x,y) * z) / (x * z) = R(x \ T(x,y),x,z). R(x \ T(x,y),x,z) = (T(x,y) * z) / (x * z). T(x,y) * L(z,x,x \ T(x,y)) = (x \ T(x,y)) * (x * z). R(x,y \ T(y,z),y) * T(y,z) = (x * (y \ T(y,z))) * y. (x \ ((x \ y) \ y)) * x = T(x,x \ y). (T(x,y) * z) / (x * z) != u | R(x \ T(x,y),x,z) = u. (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. (1 / x) * T(x,y) = x \ T(x,y). (1 / x) * T((1 / x) \ 1,y) = x \ T(x,y). x * T(x \ 1,y) = (x \ 1) \ T(x \ 1,y). (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). (x \ T(x,y)) * x != z | z = T(x,y). (x \ T(x,y)) * x != z | T(x,y) = z. x \ T(x,y) != z | (1 / x) * T(x,y) = z. (x * (y \ T(y,x))) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). x \ T(x,y) != z | (1 / x) * T((1 / x) \ 1,y) = z. 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). L(x * T(x \ 1,y),x \ 1,y) != z | K(x \ 1,y) = z. 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). K(x,y) = K((x \ 1) \ 1,y). K((x \ 1) \ 1,y) = K(x,y). x != K((y \ 1) \ 1,z) | x = T(K(y,z),y). K(x,y) = T(K(x,y),x). T(K(x,y),x) = K(x,y). K(((x \ 1) * y) \ y,z) = K(((1 / x) * y) \ y,z). K(((1 / x) * y) \ y,z) = K(((x \ 1) * y) \ y,z). T(x,K(x,y)) = x. x != T(K(y,z),y) | x = (((z * y) \ z) \ 1) \ (((z * y) \ z) \ K(y,z)). K(x,y) = (((y * x) \ y) \ 1) \ (((y * x) \ y) \ K(x,y)). (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K(y,x). x * R(K(x,y),z,u) = R(K(x,y),z,u) * x. R(K(x,y),z,u) * x = x * R(K(x,y),z,u). x * K(x,y) != K(x,y) * z | z = x. K(x,y) * z != x * K(x,y) | z = x. K(x,y) * L(x,z,u) = L(x,z,u) * K(x,y). L(x,y,z) * K(x,u) = K(x,u) * L(x,y,z). K(x,y) * T(x,z) = T(x,z) * K(x,y). T(x,y) * K(x,z) = K(x,z) * T(x,y). K(x,y) * x != z | x * K(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) * T(x,z) != u | T(x,z) * K(x,y) = u. K(x,y) * L(x,z,u) != w | L(x,z,u) * K(x,y) = w. T(x,y \ ((x * y) / x)) = x. T(K(x,y),T(x,z)) = K(x,y). (x * (y \ T(y,x))) \ (x * z) = x * ((x * (y \ T(y,x))) \ z). (x * (y \ T(y,x))) \ (x * z) != x * u | (x * (y \ T(y,x))) \ z = u. (x \ (y * T(y \ x,z))) \ 1 = T((x \ y) \ 1,z) \ ((x \ y) \ 1). T((x \ y) \ 1,z) \ ((x \ y) \ 1) = (x \ (y * T(y \ x,z))) \ 1. K(x,y) \ 1 = T(L(x \ 1,x,y) \ 1,y) \ (L(x \ 1,x,y) \ 1). T(L(x \ 1,x,y) \ 1,y) \ (L(x \ 1,x,y) \ 1) = K(x,y) \ 1. R((x / y) \ T(x / y,z),x / y,y) = (y * T(y \ x,z)) / x. T(x,y) * z != x \ T(x,y) | T(1 / x,T(x,y)) = z. T(1 / x,T(x,y)) = x \ 1. T(x,T(y,x) \ y) = x. (T(x,y) \ x) * y = y * (T(x,y) \ x). 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 != (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,x)) * L(z,x,K(y,x)) = K(y,x) * (x * z). (x * K(y,z)) * z != u * (z * K(y,z)) | R(x,K(y,z),z) = u. ((x \ (1 / (1 / y))) * x) * (1 / y) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 / (1 / x))) * y) * (1 / x). x != y * z | x = R(y,z,z \ 1) / (z \ 1). (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). 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). T(K(x,y),T(y,z)) = K(x,y). K(K(x,y),T(y,z)) = 1. K(x \ T(x,y),T(y,z)) = 1. T(x \ T(x,y),T(y,z)) = x \ T(x,y). T(x,x / (y * x)) = T(x,x / (x * y)). 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,K(y,x) \ 1) = x. (K(x,y) \ 1) * y = y * (K(x,y) \ 1). L(x \ 1,x,K(y,x) \ 1) = (x * (K(y,x) \ 1)) \ (K(y,x) \ 1). (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = L(x \ 1,x,K(y,x) \ 1). T(x,K(y \ (y / (x \ 1)),y)) = x. (((x * y) / x) \ y) \ y = (x * y) / x. (((x * y) / x) \ y) * ((x * y) / x) = y. (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (R(x,y,z) * (x \ 1)) / R(x,y,z). (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). K(x \ 1,R(x,y,z)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). (x \ 1) * (x * ((y * (x \ z)) / y)) = K(x \ 1,x) * ((y * ((1 / x) * z)) / y). K(x \ 1,x) * ((y * ((1 / x) * z)) / y) = (x \ 1) * (x * ((y * (x \ z)) / y)). T(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(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)). L(x \ 1,x,T(y,x) \ y) = x \ 1. L(x \ 1,x,K(y,x) \ 1) = x \ 1. x != L(y \ 1,y,K(z,y) \ 1) | x = (y * (K(z,y) \ 1)) \ (K(z,y) \ 1). x \ 1 = (x * (K(y,x) \ 1)) \ (K(y,x) \ 1). (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = x \ 1. T(L((x \ 1) * ((1 / x) \ ((y * z) / y)),x,x \ 1),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). R(K(R(x,y,z),x \ 1),y,z) = K(R(x,y,z),R(x,y,z) \ 1). 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). (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). (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. (x * y) * R(K(x * y,z),y,T(x,y)) = (K(y * T(x,y),z) * y) * T(x,y). x \ y = (((x \ 1) \ 1) \ y) * K(x,x \ 1). (((x \ 1) \ 1) \ y) * K(x,x \ 1) = x \ y. x * y = ((x \ 1) \ 1) * (K(x \ 1,x) * y). ((x \ 1) \ 1) * (K(x \ 1,x) * y) = x * y. x * ((1 / x) * y) = ((x \ 1) \ 1) * ((x \ 1) * y). ((x \ 1) \ 1) * ((x \ 1) * y) = x * ((1 / x) * y). K(x \ 1,x) * (x \ y) = ((x \ 1) \ 1) \ y. x != y * K(z,z \ 1) | x = K(z,z \ 1) * y. x \ y = K(x,x \ 1) * (((x \ 1) \ 1) \ y). K(x,x \ 1) * (((x \ 1) \ 1) \ y) = x \ y. (x \ y) * x = (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1). (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = (x \ y) * x. (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 * y != K(z \ 1,z) * (z \ u) | x \ (((z \ 1) \ 1) \ u) = y. x \ (((y \ 1) \ 1) \ x) = T(x \ (y \ x),y). T(x \ (y \ x),y) = x \ (((y \ 1) \ 1) \ x). K(x \ 1,x) * y = ((x \ 1) \ 1) \ (x * y). ((x \ 1) \ 1) \ (x * y) = K(x \ 1,x) * y. ((x \ 1) \ 1) \ y != z | (x \ y) * K(x \ 1,x) = z. x * (((x \ 1) \ 1) \ y) = K(x \ 1,x) * y. x * (((x \ (y \ x)) \ 1) \ 1) = ((y \ 1) \ 1) \ x. 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). x / (x * (((x \ y) \ 1) \ 1)) = ((x / y) \ 1) \ 1. x / (x * ((y \ 1) \ 1)) = ((x / (x * y)) \ 1) \ 1. x / ((((y / x) \ 1) \ 1) * x) = ((x / y) \ 1) \ 1. x / (((y \ 1) \ 1) * x) = ((x / (y * x)) \ 1) \ 1. x != ((y / (z * y)) \ 1) \ 1 | x = R(z \ 1,z,y). x / (((y \ 1) \ 1) * x) = R(y \ 1,y,x). R(x \ 1,x,y) = y / (((x \ 1) \ 1) * y). 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). 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 * ((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. T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) = K(x,y / x) * x. T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) != z | x * K(x,y / x) = z. 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 * y != ((z \ 1) \ 1) * (K(z \ 1,z) * u) | x \ (z * u) = y. ((x \ 1) \ 1) \ (x * y) = y * K(x \ 1,x). (x * y) \ ((K(x \ 1,x) * y) * ((x \ 1) \ 1)) = K(K(x \ 1,x) * y,(x \ 1) \ 1). L(x * K(y \ 1,y),y,y \ 1) = (y \ 1) * (y * x). L((x \ 1) * ((1 / x) \ y),x,x \ 1) = (x \ 1) * (x * y). T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). ((1 / x) \ y) * (1 / x) = ((x \ 1) \ y) * (x \ 1). T(K(x,y),L(x,z,u)) = K(x,y). T(x,x \ 1) = T(x,T(1 / x,y)). T(x,T(1 / x,y)) = T(x,x \ 1). R(T(x,x \ 1),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. T(x,x \ 1) * T(x \ 1,y) = x * T(1 / x,y). 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. x * T(1 / x,y) = ((x \ 1) \ 1) * T(x \ 1,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). x * L(y,x,x \ T(x,z)) = L(x * y,x \ T(x,z),x). x * L(x \ y,x,x \ T(x,z)) = L(y,x \ T(x,z),x). T(L((x * y) / x,z \ T(z,x),z),x) = (z \ T(z,x)) * (z * (T(z,x) \ y)). (x \ T(x,y)) * (x * (T(x,y) \ z)) = L(y \ (y * z),x \ T(x,y),x). 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 \ T(x,y)) * T(y,T(x,y)) = L(y,x \ T(x,y),x). (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. 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)). 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 \ (K(x \ 1,x) * y). x \ (K(x \ 1,x) * y) = T(x,x \ 1) \ y. ((x \ 1) \ 1) * (T(x \ 1,y) * z) = x * (T(1 / x,y) * z). (x * T(1 / x,y)) \ (x * (T(1 / x,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). L(x,T(y \ 1,z),(y \ 1) \ 1) != u | L(x,T(1 / y,z),y) = u. K(x,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. T(K(x,y),R(x,z,u)) = K(x,y). 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). 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. K(R(x,y,z),x \ 1) \ 1 != u | x * T(x \ 1,R(x,y,z)) = u. 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). 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 \ 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. (T(x,y) \ T(x,z)) * K(x,x \ 1) = T(x,z) * (1 / T(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 * (1 / T(x,y)) = T(x,y) \ ((x \ 1) \ 1). T(x,y) \ ((x \ 1) \ 1) = x * (1 / T(x,y)). x != K(y \ 1,y) * z | x = z * K(y \ 1,y). x * (((x \ 1) \ 1) \ y) = y * K(x \ 1,x). x \ (K(x \ 1,x) * y) = ((x \ 1) \ 1) \ y. x * y != K(z \ 1,z) * ((z \ 1) \ u) | x \ ((1 / z) \ u) = y. x \ ((1 / x) \ y) = ((x \ 1) \ 1) \ ((x \ 1) \ y). ((x \ 1) \ 1) \ ((x \ 1) \ y) = x \ ((1 / x) \ y). (x \ 1) \ (K(x,x \ 1) * y) = (((x \ 1) \ 1) \ 1) \ y. T(x,x \ 1) * T(y,x) = y * T(x,x \ 1). x * T(y,y \ 1) = ((y \ 1) \ 1) * T(x,y). ((x \ 1) \ 1) * T(y,x) = y * T(x,x \ 1). K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R((x \ 1) * T(x,x \ 1),y,z). K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(1,y,z). x != R(1,y,z) | 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 != (R(y,z,u) / y) \ (1 / y) | x = 1 / R(y,z,u). R(1 / (1 / x),y,z) \ 1 = 1 / R(x,y,z). 1 / (1 / R(x,y,z)) = R(1 / (1 / x),y,z). R(1 / x,y,z) \ 1 = 1 / R(x \ 1,y,z). 1 / R(x \ 1,y,z) = R(1 / x,y,z) \ 1. R(T(1 / (1 / x),y),z,u) \ 1 = 1 / R(T(x,y),z,u). 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). ((x * (y \ 1)) \ 1) \ 1 = R(((x / y) \ 1) \ 1,y,y \ 1). R(((x / y) \ 1) \ 1,y,y \ 1) = ((x * (y \ 1)) \ 1) \ 1. ((x * y) \ 1) \ 1 = R(((x / (1 / y)) \ 1) \ 1,y \ 1,y). R(((x / (1 / y)) \ 1) \ 1,y \ 1,y) = ((x * y) \ 1) \ 1. R(((x / y) \ 1) \ 1,y,z) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). T(x,R((y \ 1) \ 1,z,u)) = T(x,R(y,z,u)). ((((x / y) \ 1) \ 1) * y) * z = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = ((((z / x) \ 1) \ 1) * x) * y. (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = (x * (((x \ z) \ 1) \ 1)) * y. x != ((y * z) * 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. ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x. T(x \ 1,x * y) = T(x \ 1,((x \ 1) \ 1) * y). T(x \ 1,((x \ 1) \ 1) * y) = T(x \ 1,x * y). T(x * T(x \ 1,x),y) = K(T(x,z) \ (T(x,z) / T(x,y)),T(x,z)). K(T(x,y) \ (T(x,y) / T(x,z)),T(x,y)) = T(x * T(x \ 1,x),z). 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. (((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 \ y = K(x \ 1,x) * ((1 / (1 / x)) \ y). K(x \ 1,x) * ((1 / (1 / x)) \ y) = x \ y. T(x,y) * (K(x \ 1,x) * z) = (1 / (1 / T(x,y))) * z. T(x,y) * (K(x \ 1,x) * z) = T(1 / (1 / x),y) * z. T(x,y) \ z = K(x \ 1,x) * (T(1 / (1 / x),y) \ z). K(x \ 1,x) * (T(1 / (1 / x),y) \ z) = T(x,y) \ z. (T(x,y) \ z) * K(x,x \ 1) = T(1 / (1 / x),y) \ z. ((x \ 1) \ 1) * (T(x,y) \ z) = x * (T(1 / (1 / x),y) \ z). (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / (1 / (x \ 1)),y) \ z. (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / x,y) \ z. K(x,x \ 1) * (T(1 / x,y) \ z) = T(x \ 1,y) \ z. K(x,x \ 1) * y = T(x \ 1,z) \ (T(1 / x,z) * y). T(x \ 1,y) \ (T(1 / x,y) * z) = K(x,x \ 1) * z. T(x \ 1,y) * (K(x,x \ 1) * z) = T(1 / x,y) * z. T(x \ 1,y) * ((x \ 1) \ (K(x,x \ 1) * z)) = T(1 / x,y) * ((x \ 1) \ z). T(x \ 1,y) * ((x \ 1) \ z) = T(1 / x,y) * ((1 / x) \ z). T(1 / x,y) * ((1 / x) \ z) = T(x \ 1,y) * ((x \ 1) \ z). (1 / x) * (T(x \ 1,y) * ((x \ 1) \ z)) = T(1 / x,y) * z. x * y != (1 / z) * (T(z \ 1,u) * ((z \ 1) \ w)) | (T(1 / z,u) * w) / y = x. (T(1 / x,y) * z) / (T(1 / x,y) * ((x \ 1) \ z)) = x \ 1. T(x \ 1,y) * ((((x \ 1) \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). T(x \ 1,y) * (T(x \ 1,(x \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). (x \ y) * K(x,x \ 1) = (1 / (1 / x)) \ y. (x \ y) * ((x \ 1) \ 1) = ((1 / (1 / x)) \ y) * x. ((1 / (1 / x)) \ y) * x = (x \ y) * ((x \ 1) \ 1). 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))). (1 / (1 / x)) \ L(y,1 / x,x) = (1 / x) * y. (1 / x) * (x * y) != z | z = L(y,x,x \ 1). (1 / x) * (x * y) != z | L(y,x,x \ 1) = z. (((L(x,y,y \ 1) * y) / y) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). (L(x,y,y \ 1) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). (1 / x) * (y * x) != z * ((x * ((1 / x) * (y * x))) / x) | L(y,x,x \ 1) \ ((1 / x) * (y * x)) = z. x * ((y * ((1 / y) * (z * y))) / y) != (1 / y) * (z * y) | L(z,y,y \ 1) \ ((1 / y) * (z * y)) = x. (x * (y \ T(y,x))) * (x \ 1) = y \ T(y,x). ((x \ 1) \ 1) * (y / ((x \ 1) \ 1)) = x * (y / x). T(L(x,y,z) * T(L(x,y,z) \ 1,x),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). T(L(x * T(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). 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. 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). R(x / (y * z),y * z,(y * z) \ y) = (x * L(z \ 1,z,y)) / y. R(1 / x,x,x \ y) != z | (x \ y) / y = z. ((x \ y) * (T(x,x \ y) * z)) \ (y * z) = a(x \ y,(x \ y) \ y,z). ((x \ y) * (((x \ y) \ y) * z)) \ (y * z) = a(x \ y,T(x,x \ y),z). a(x \ y,T(x,x \ y),z) = ((x \ y) * (((x \ y) \ y) * z)) \ (y * z). T(x \ (x / L(x,y,z)),L(x,y,z)) = T(L(x,y,z) \ 1,x). K(L(x,y,z) \ 1,L(x,y,z)) * (x / L(x,y,z)) = x * T(L(x,y,z) \ 1,x). T((x * y) * (x \ 1),x) != z | z = R(y,x,x \ 1). T((x * y) * (x \ 1),x) != z | R(y,x,x \ 1) = z. x * y != z \ (u * z) | x \ T(u,z) = y. L(x,y,z) \ T(u,x) = x \ (L(x,y,z) \ (u * x)). x \ (L(x,y,z) \ (u * x)) = L(x,y,z) \ T(u,x). (x * (1 / (1 / (x \ y)))) / x = 1 / (1 / (y / x)). (x * (1 / (1 / y))) / x = 1 / (1 / ((x * y) / x)). (x / (1 / (1 / y))) / x = 1 / (1 / ((x / y) / x)). (x / (1 / y)) / x = 1 / (1 / ((x / (y \ 1)) / x)). 1 / (1 / ((x / (y \ 1)) / x)) = (x / (1 / y)) / x. ((x / (1 / y)) / x) \ 1 = 1 / ((x / (y \ 1)) / x). 1 / ((x / (y \ 1)) / x) = ((x / (1 / y)) / x) \ 1. x * R(x \ 1,y,y \ 1) != z | a(1 / x,y,y \ 1) = z. x \ (y * ((z * (y \ x)) / z)) = (x \ y) * ((z * ((x \ y) \ 1)) / z). (x \ y) * ((z * ((x \ y) \ 1)) / z) = x \ (y * ((z * (y \ x)) / z)). x \ (y * ((z * (y \ u)) / z)) = (x \ y) * ((z * ((x \ y) \ (x \ u))) / z). (x \ y) * ((z * ((x \ y) \ (x \ u))) / z) = x \ (y * ((z * (y \ u)) / z)). (1 / x) * ((y * ((1 / x) \ 1)) / y) = ((y * x) / y) / x. 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 \ ((y \ x) * z)) * R((x \ ((y \ x) * z)) \ z,u,w) = x \ ((R(y,u,w) * (y \ x)) * z). K(x \ y,x) * R((y \ ((x \ y) * x)) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). K(x \ y,x) * R(K(x \ y,x) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). (x * y) * R(T(y,x),z,u) = (R(y,z,u) * x) * y. (x / (x * y)) * T(y,y \ 1) = y * (x / (x * y)). (x * (y / (y * x))) * (x \ 1) = ((y / (y * x)) * x) * (1 / x). ((x / (x * y)) * y) * (1 / y) = (y * (x / (x * y))) * (y \ 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. (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 \ (y * (z * (y \ x))) = T(L(z,y \ x,y),y \ x). T(L(x,y \ z,y),y \ z) = z \ (y * (x * (y \ z))). x \ ((x / y) * (z * y)) = T(L(z,y,x / y),y). T(L(x,y,z / y),y) = z \ ((z / y) * (x * y)). T(L(x,y \ z,y),y \ z) != u | z \ (y * (x * (y \ z))) = u. T(x \ ((x / y) * z),y) = x \ ((x / y) * ((y \ z) * y)). x \ ((x / y) * ((y \ z) * y)) = T(x \ ((x / y) * z),y). K(x \ 1,x) * (y * T(x,z)) = y * T(1 / (1 / x),z). x != T(y \ (y / (1 / z)),1 / z) | x = y \ (y / (z \ 1)). T(x \ (x / (1 / y)),y \ 1) = x \ (x / (y \ 1)). (1 / x) * T(y,x \ 1) = y * (1 / x). T(x,y) * K(x,z) != u | K(x,z) * T(x,y) = u. L(x,y \ 1,y) = L(x,y \ 1,(y \ 1) \ 1). L(x,y \ 1,(y \ 1) \ 1) = L(x,y \ 1,y). x != (1 / y) \ z | x = ((y \ 1) \ z) * K(y \ 1,y). x * K(y,x) = ((x \ 1) \ K(y,x)) * K(x \ 1,x). ((x \ 1) \ K(y,x)) * K(x \ 1,x) = x * K(y,x). x * y != z \ R(z,u,u \ 1) | x \ a(z,u,u \ 1) = y. R(x,y,y \ 1) \ a(x,y,y \ 1) = x \ 1. (K(x \ 1,x) * y) * z != u | (y * K(x \ 1,x)) * z = u. (x * K(y \ 1,y)) * K(y,y \ 1) != z | z = x. ((x \ 1) * y) / L(T(1 / x,y),y,K(x \ 1,x)) = K(x \ 1,x) * y. x / L(y \ z,y,x / z) != u | u = (x / z) * y. x / L(y \ z,y,x / z) != u | (x / z) * y = u. x * (K(y \ 1,y) * z) != u | x * (z * K(y \ 1,y)) = u. ((x * ((y \ x) \ z)) / z) * (y \ z) = y \ ((y * (y \ x)) * ((y \ x) \ z)). x \ ((x * (x \ y)) * ((x \ y) \ z)) = ((y * ((x \ y) \ z)) / z) * (x \ z). x \ (y * ((x \ y) \ z)) = ((y * ((x \ y) \ z)) / z) * (x \ z). ((x * ((y \ x) \ z)) / z) * (y \ z) = y \ (x * ((y \ x) \ z)). 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). x != ((y \ 1) \ 1) \ z | x = z * (((z \ (y \ z)) \ 1) \ 1). (x \ y) * K(x \ 1,x) = y * (((y \ (x \ y)) \ 1) \ 1). 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). K(x \ 1,x) * (y * T((x \ z) \ z,u)) = y * (1 / (1 / T((x \ z) \ z,u))). K(x \ 1,x) * (y * T((x \ 1) \ 1,z)) = y * (1 / (T(x,z) \ 1)). x * T(y,z) = K(y \ 1,y) * (x * T((y \ 1) \ 1,z)). K(x \ 1,x) * (y * T((x \ 1) \ 1,z)) = y * T(x,z). L(x,y \ 1,(y \ 1) \ 1) * K(y \ 1,y) = y * ((((y \ 1) \ 1) \ 1) * x). x * y != (z / u) * K(u,u \ 1) | (z / (1 / (1 / u))) / y = x. (x / (1 / (1 / y))) / (1 / y) = (x / y) / (y \ 1). x * y != (z \ u) * K(z,z \ 1) | ((1 / (1 / z)) \ u) / y = x. ((1 / (1 / x)) \ y) / (1 / x) = (x \ y) / (x \ 1). T(x / (1 / (1 / y)),1 / (1 / y)) / (1 / y) = (y \ x) / (y \ 1). (x * K(y,x)) * (T(x,z) * ((x * K(y,x)) \ 1)) = T((x * K(y,x)) * (R(K(y,x),x,(x * K(y,x)) \ 1) \ 1),z). T((x * K(y,x)) * (R(K(y,x),x,(x * K(y,x)) \ 1) \ 1),z) = (x * K(y,x)) * (T(x,z) * ((x * K(y,x)) \ 1)). (x * ((y * x) \ y)) \ x = 1 / ((y * x) \ y). K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,T(x / y,T(y,x))). x * ((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. R(x / y,y,z) != u | (x * z) / (y * z) = u. (x / T(y,x)) * y != z | (x * (x * y)) / (y * x) = z. R((x * K(y,y \ 1)) / z,z,K(y \ 1,y)) != u | x / (z * K(y \ 1,y)) = u. T(x \ y,z) \ T((x \ y) * (y \ x),z) = L(T(x \ y,z) \ 1,x \ y,x). x != (y * z) * ((((y * z) \ (u * z)) \ 1) \ 1) | x = (y * (((y \ u) \ 1) \ 1)) * 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). (((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)). K(x \ 1,x) * (y * ((x \ z) \ z)) = y * T(1 / (1 / x),x \ z). (((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. 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,y) * (x \ z) != u | x \ (T(x,y) * z) = u. x \ T(x,y / (x * y)) != z | K(x,x \ 1) = z. (1 / x) \ T(1 / x,y) != z | x * T(x \ 1,y) = z. (x / (y / z)) * (z \ y) != u | (x * (z \ y)) / (y / z) = u. K(x,y) * R(K(y,z),u,w) != v5 | R(K(y,z),u,w) * K(x,y) = v5. L(x,y,z) * R(K(x,u),w,v5) != v6 | R(K(x,u),w,v5) * L(x,y,z) = v6. L(x,x \ y,x) * (x \ y) != z | (x \ y) * T(x,y) = z. T(((x * y) \ x) \ 1,x) != z | L(y \ 1,y,x) \ K(y,x) = z. x != T(1 / y,z) \ (1 / y) | x = (y * T(y \ 1,z)) \ 1. x \ (T(1 / x,y) \ 1) = (x * T(x \ 1,y)) \ 1. (x * T(x \ 1,y)) \ 1 = x \ (T(1 / x,y) \ 1). (x \ (y * T(y \ x,z))) \ 1 = (x \ y) \ (T(1 / (x \ y),z) \ 1). (x \ y) \ (T(1 / (x \ y),z) \ 1) = (x \ (y * T(y \ x,z))) \ 1. x \ ((y * (x \ 1)) \ y) = (1 / x) * ((y * (x \ 1)) \ y). (1 / x) * ((y * (x \ 1)) \ y) = x \ ((y * (x \ 1)) \ y). 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(x \ ((1 / y) \ x),1 / y) = x \ ((y \ 1) \ x). K(1 / x,y) != z | K(x \ 1,y) = z. K(T(1 / x,y) \ 1,z) != u | K(T(x \ 1,y) \ 1,z) = u. (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) = K(y,x). K(K(x \ 1,x) * y,(x \ 1) \ 1) != z | K(y,x) = z. K(((x \ 1) \ 1) \ y,(x \ 1) \ 1) = K(x \ y,x). ((x * y) / x) * z != y \ ((x * y) / x) | T(1 / y,(x * y) / x) = z. T(1 / x,(y * x) / y) = x \ 1. T(x,T(y,x)) * (y \ T(y,x)) = L(x,y \ T(y,x),y). L(x,y \ T(y,x),y) != z | T(x,T(y,x)) * (y \ T(y,x)) = z. T(K(x,y),L(y,z,u)) = K(x,y). T(x,L(K(y,x),z,u)) = x. x * y != T(x,x \ 1) * z | y = K(x,x \ 1) * z. T(x,x \ 1) * z != x * y | y = K(x,x \ 1) * z. T(x,x \ 1) * y != x * z | K(x,x \ 1) * y = z. K(x,x \ 1) * T(x \ 1,y) = T(1 / x,y). R(x,y,1 / y) = (x * y) * (y \ 1). (x * y) * (y \ 1) = R(x,y,1 / y). R(x,y,1 / y) / (y \ 1) = x * y. x * y != R(T(z,u),w,v5) | T(R(z,w,v5),u) / y = x. T(R(x,y,1 / y),z) / (y \ 1) = T(x,z) * y. R(x,y,1 / y) != z | R(x,y,y \ 1) = z. ((x * (1 / y)) \ x) \ 1 = 1 / ((x * (y \ 1)) \ x). 1 / ((x * (y \ 1)) \ x) = ((x * (1 / y)) \ x) \ 1. (((x * (1 / y)) \ x) \ 1) \ 1 = (x * (y \ 1)) \ x. (((x * y) \ x) \ 1) \ 1 = (x * ((y \ 1) \ 1)) \ x. L(T((x \ y) \ z,z \ (x \ y)),x \ y,x) = ((y \ (x * z)) \ 1) \ 1. x != L(T((y \ z) \ u,w),y \ z,y) | x = T(z \ (y * u),w). ((x \ (y * z)) \ 1) \ 1 = T(x \ (y * z),z \ (y \ x)). T(x \ (y * z),z \ (y \ x)) = ((x \ (y * z)) \ 1) \ 1. T(a(x,y,z),z \ ((x * y) \ (x * (y * z)))) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. T(a(x,y,z),z \ L(z,y,x)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. T(a(x,y,z),z \ L(z,y,x)) = (a(x,y,z) \ 1) \ 1. L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) != w | L(x * ((u * (x \ 1)) / u),y,z) = w. K(x,y / (x * y)) != z | K(x,x \ 1) = z. K(x / y,y / x) != z | K(x / y,(x / y) \ 1) = z. K((x / y) \ 1,x / y) != z | K(y / x,(y / x) \ 1) = z. L(1 / (x \ y),x \ y,x) \ (1 / (x \ y)) = (1 / (x \ y)) * (1 / (y \ x)). ((x / y) * y) / z != u * w | u \ (x / z) = w. x / L(y,z,x / (z * y)) != u | (x / (z * y)) * z = u. x \ T(L(y,x \ 1,x),z) != u | (x \ 1) * T(y,z) = u. L(x \ 1,x,y * (1 / x)) = y * (R(y,x \ 1,x) \ (1 / x)). x * (R(x,y \ 1,y) \ (1 / y)) = L(y \ 1,y,x * (1 / y)). (x * (y \ 1)) \ ((x / y) * z) = (x / y) * (R(x / y,y,y \ 1) \ z). (x / y) * (R(x / y,y,y \ 1) \ z) = (x * (y \ 1)) \ ((x / y) * z). x \ ((x * (y * T(y \ 1,x))) \ x) = ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)) \ 1. ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ 1 = y \ ((y * (x * T(x \ 1,y))) \ y). (x / y) \ (y \ x) != (y \ x) * z | (x / y) \ 1 = z. (x * K(y \ x,y)) * (y \ 1) = T(x * (y \ 1),y). K(x,1 / ((y * x) / y)) = ((y * x) / y) * ((x * (((y * x) / y) \ 1)) / x). ((x * y) / x) * ((y * (((x * y) / x) \ 1)) / y) = K(y,1 / ((x * y) / x)). L(x * ((y * x) \ y),x \ 1,y * x) = ((y * x) * (x \ 1)) \ y. x != y * T(z,z \ 1) | x = K(z,z \ 1) * (y * z). (K(x,x \ 1) * y) * x = K(x,x \ 1) * (y * x). L(x * ((y * x) \ y),x \ 1,y * x) = R(y,x,x \ 1) \ y. x != (y * T(y \ z,u)) / y | x = T(z / y,u). ((x / y) \ 1) \ 1 = T(x / y,x \ y). T(x / y,x \ y) = ((x / y) \ 1) \ 1. T(x / (x * y),y) = ((x / (x * y)) \ 1) \ 1. R(((x / (1 / y)) \ 1) \ 1,y \ 1,y) = T(x * y,x \ (1 / y)). T(x * y,x \ (1 / y)) = R(((x / (1 / y)) \ 1) \ 1,y \ 1,y). x != R(((y / (1 / z)) \ 1) \ 1,z \ 1,z) | x = ((y * z) \ 1) \ 1. T(x * y,x \ (1 / y)) = ((x * y) \ 1) \ 1. x != ((y / (y * z)) \ 1) \ 1 | x = y / (y * ((z \ 1) \ 1)). 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) * (y \ x) = ((x \ y) \ 1) \ (y \ x). ((x \ y) \ 1) \ (y \ x) = (x \ y) * (y \ x). ((x \ y) \ 1) * ((x \ y) * (y \ x)) = y \ x. x * ((((y * x) \ y) \ 1) \ 1) = ((y * x) \ y) * (y \ (y * x)). ((x * y) \ x) * (x \ (x * y)) = y * ((((x * y) \ x) \ 1) \ 1). ((x * y) \ x) * y = y * ((((x * y) \ x) \ 1) \ 1). x * ((((y * x) \ y) \ 1) \ 1) = ((y * x) \ y) * x. (1 / x) * ((y * (x \ 1)) \ y) = ((y * (1 / x)) \ y) * (1 / x). ((x * (1 / y)) \ x) * (1 / y) = (1 / y) * ((x * (y \ 1)) \ x). x != (1 / y) * ((z * (y \ 1)) \ z) | x = y \ ((z * (y \ 1)) \ z). ((x * (1 / y)) \ x) * (1 / y) = y \ ((x * (y \ 1)) \ x). 1 / (x \ ((y \ 1) \ x)) = (x \ ((1 / y) \ x)) \ 1. 1 / (x \ (y \ x)) = (x \ ((1 / (1 / y)) \ x)) \ 1. (x \ ((1 / (1 / y)) \ x)) \ 1 = 1 / (x \ (y \ x)). 1 / (1 / (x \ (y \ x))) = x \ ((1 / (1 / y)) \ x). x * (1 / (1 / (x \ (y \ x)))) = (1 / (1 / y)) \ x. ((1 / (1 / x)) \ y) / y = 1 / (1 / ((x \ y) / y)). ((1 / x) \ y) / y = 1 / (1 / (((x \ 1) \ y) / y)). 1 / (1 / (((x \ 1) \ y) / y)) = ((1 / x) \ y) / y. ((((1 / x) \ y) / y) \ 1) \ 1 = ((x \ 1) \ y) / y. x * y != z * K(x \ 1,x) | z = ((x \ 1) \ 1) * y. z * K(x \ 1,x) != x * y | z = ((x \ 1) \ 1) * y. x * K(y \ 1,y) != y * z | ((y \ 1) \ 1) * z = 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). R(x,T(y,z) \ 1,T((y \ 1) \ 1,z)) / T((y \ 1) \ 1,z) = x * (T(y,z) \ 1). L(x,y,K(x,x \ 1)) = x. L(1 / x,y,K(x \ 1,x)) = 1 / x. T(1 / x,y) = L(T(1 / x,y),z,K(x \ 1,x)). L(T(1 / x,y),z,K(x \ 1,x)) = T(1 / x,y). ((x \ 1) * y) / T(1 / x,y) = K(x \ 1,x) * y. ((x * y) * L(1 / y,y,x)) / x = ((x * y) / x) * ((((x * y) / x) \ y) / y). ((x * y) / x) * ((((x * y) / x) \ y) / y) = ((x * y) * L(1 / y,y,x)) / x. ((x * y) / x) * ((((x * y) / x) \ y) / y) = (x * (y * (1 / y))) / x. ((x * y) / x) * ((((x * y) / x) \ y) / y) = (x * K(y,y \ 1)) / x. x * (y * ((x \ (z * y)) / y)) = (x * ((y * (x \ z)) / y)) * y. (x * ((y * (x \ z)) / y)) * y = x * (y * ((x \ (z * y)) / y)). ((x * y) * ((z * ((x * y) \ x)) / z)) * z = (x * y) * (z * (L(y \ z,y,x) / z)). (((x * (y / (x * y))) \ x) \ 1) \ 1 = ((y / (x * y)) * x) \ x. ((1 / (x / (y * x))) \ 1) \ 1 = ((x / (y * x)) * y) \ y. (x / (y * x)) \ 1 = ((x / (y * x)) * y) \ y. ((x / (y * x)) * y) \ y = (x / (y * x)) \ 1. L(1 / (x \ ((y / (x * y)) * x)),x \ ((y / (x * y)) * x),x) = 1 / (1 / ((y / (x * y)) \ 1)). L(1 / T(x / (y * x),y),y \ ((x / (y * x)) * y),y) = 1 / (1 / ((x / (y * x)) \ 1)). L(1 / R(x \ 1,x,y),x \ ((y / (x * y)) * x),x) = 1 / (1 / ((y / (x * y)) \ 1)). L(R(1 / x,x,y) \ 1,x \ ((y / (x * y)) * x),x) = 1 / (1 / ((y / (x * y)) \ 1)). L(R(1 / x,x,y) \ 1,T(y / (x * y),x),x) = 1 / (1 / ((y / (x * y)) \ 1)). L(R(1 / x,x,y) \ 1,R(x \ 1,x,y),x) = 1 / (1 / ((y / (x * y)) \ 1)). L(R(1 / x,x,y) \ 1,R(x \ 1,x,y),x) = 1 / (y / (x * y)). R(x,K(x,x \ 1),y) = x. R(1 / x,K(x \ 1,x),y) = 1 / x. (1 / x) * T(R(1 / x,K(x \ 1,x),y) \ 1,z) = R((1 / x) * T((1 / x) \ 1,z),K(x \ 1,x),y). (1 / x) * T((1 / x) \ 1,y) = R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z). R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T((1 / x) \ 1,y). x != (1 / y) * T((1 / y) \ 1,z) | 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 \ T(x,y)) * (z * K(x \ 1,x)) = ((x \ 1) * T(x,y)) * z. (x * (y * T(y \ 1,x))) \ 1 = x \ ((x * (y * T(y \ 1,x))) \ x). x \ ((x * (y * T(y \ 1,x))) \ x) = (x * (y * T(y \ 1,x))) \ 1. x * (T(x,y) \ (1 / x)) = 1 / T(x,y). T((x \ 1) * (x * y),x) != (x \ 1) * z | y * x = z. x * ((x \ 1) * (y * x)) = ((x \ 1) * (x * y)) * x. ((x \ 1) * (x * y)) * x = x * ((x \ 1) * (y * x)). x * y != z * ((z \ 1) * u) | L(u,z \ 1,z) / y = x. L(x * y,y \ 1,y) / y = (y \ 1) * (y * x). L(x,y \ 1,y) / y = (y \ 1) * (y * (x / y)). (x \ 1) * (x * (y / x)) = L(y,x \ 1,x) / x. (x * (y * z)) \ (x * (y * R(z,u,u \ 1))) = L(a(L(z,y,x),u,u \ 1),L(z,y,x),x * y). L(a(L(x,y,z),u,u \ 1),L(x,y,z),z * y) = (z * (y * x)) \ (z * (y * R(x,u,u \ 1))). L(x,y,z) / x != u | (1 / x) * L(x,y,z) = u. ((x * y) / x) * ((((x * y) / x) \ y) / y) = K(y,1 / ((x * y) / x)). x != ((y * z) / y) * ((((y * z) / y) \ z) / z) | x = (y * K(z,z \ 1)) / y. K(x,1 / ((y * x) / y)) = (y * K(x,x \ 1)) / y. (x * K(y,y \ 1)) / x = K(y,1 / ((x * y) / x)). (x * K(x \ y,(x \ y) \ 1)) / x = K(x \ y,1 / (y / x)). (x * K(x \ y,y \ x)) / x = K(x \ y,1 / (y / x)). (x * (1 / (1 / (x \ y)))) / y = K(y \ x,1 / (x / y)). (x * (1 / (1 / K(y,(y / (x \ 1)) / y)))) / ((y * x) / y) = K(((y * x) / y) \ x,1 / (x / ((y * x) / y))). K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = (y * (1 / (1 / K(x,(x / (y \ 1)) / x)))) / ((x * y) / x). K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = (y * K(x,(x / (y \ 1)) / x)) / ((x * y) / x). K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = ((x * y) / x) / ((x * y) / x). K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = 1. K(x \ y,1 / (y / x)) != z | K(x \ y,y \ x) = z. K(((x * y) / x) \ y,y \ ((x * y) / x)) = 1. x * y != K(((z * u) / z) \ u,u \ ((z * u) / z)) | x \ 1 = y. (((x * y) / x) \ y) \ 1 = 1 / (((x * y) / x) \ y). 1 / (((x * y) / x) \ y) = (((x * y) / x) \ y) \ 1. ((((x * y) / x) \ y) \ 1) \ 1 = ((x * y) / x) \ y. (x \ ((y * x) / y)) \ 1 = ((y * x) / y) \ x. (x \ (x * (y * T(y \ 1,x)))) \ 1 = ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)) \ x. ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ y = (y \ (y * (x * T(x \ 1,y)))) \ 1. ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ y = (x * T(x \ 1,y)) \ 1. x != (y * T(y \ 1,z)) \ 1 | x = y \ (T(1 / y,z) \ 1). ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ y = x \ (T(1 / x,y) \ 1). (x * (y * T(y \ 1,x))) \ x = y \ (T(1 / y,x) \ 1). x \ (y \ (T(1 / y,x) \ 1)) = (x * (y * T(y \ 1,x))) \ 1. (x * (y * T(y \ 1,x))) \ 1 = x \ (y \ (T(1 / y,x) \ 1)). (x * K(y,x)) \ 1 = x \ (((x * y) \ x) \ (T(1 / ((x * y) \ x),x) \ 1)). x \ (((x * y) \ x) \ (T(1 / ((x * y) \ x),x) \ 1)) = (x * K(y,x)) \ 1. x \ (((x * y) \ (x * T(x \ (x * y),x))) \ 1) = (x * K(y,x)) \ 1. x \ (((x * y) \ (x * T(y,x))) \ 1) = (x * K(y,x)) \ 1. x \ (((x * y) \ (y * x)) \ 1) = (x * K(y,x)) \ 1. x \ (K(y,x) \ 1) = (x * K(y,x)) \ 1. (x * K(y,x)) \ 1 = x \ (K(y,x) \ 1). ((1 / x) * T((1 / x) \ 1,(x \ 1) * y)) * y = y * K(((x \ 1) * y) \ (K(x \ 1,x) * y),(x \ 1) * y). x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = ((1 / y) * T((1 / y) \ 1,(y \ 1) * x)) * x. x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = (y \ T(y,(y \ 1) * x)) * x. x * T(((x * T(y,z)) / T(y,z)) \ (x * y),u) = ((x * T(y,z)) * T(y,u)) / T(y,z). x * T(x \ (x * y),z) = ((x * T(y,u)) * T(y,z)) / T(y,u). ((x * T(y,z)) * T(y,u)) / T(y,z) = x * T(x \ (x * y),u). ((x * T(y,z)) * T(y,u)) / T(y,z) = x * T(y,u). (x * T(y,z)) / T(y,u) = (x / T(y,u)) * T(y,z). (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. (((x / y) \ z) * (x / y)) * y = x * T(x \ (z * y),x / y). K(T(1 / T(x,y),T(x,z)),T(x,z)) / T(x,y) = T(1 / T(x,y),T(x,z)). K(T(1 / T(x,y),T(x,z)),T(x,z)) = T(x * T(x \ 1,x),y). K(T(1 / T(x,y),T(x,z)),T(x,z)) = T((x \ 1) * x,y). x != T((y \ 1) * y,z) | x = K(y \ 1,y). K(T(1 / T(x,y),T(x,z)),T(x,z)) = K(x \ 1,x). K(x \ 1,x) / T(x,y) = T(1 / T(x,y),T(x,z)). T(1 / T(x,y),T(x,z)) = K(x \ 1,x) / T(x,y). x != K(y \ 1,y) / T(y,z) | x = T(y,z) \ 1. T(1 / T(x,y),T(x,z)) = T(x,y) \ 1. K(T(x,y) \ 1,T(x,z)) = K(x \ 1,x). (T(x,y) * z) * T(x,z) = (x * z) * T(T(x,z),y). x != y \ T(y * T(z / y,u),y) | x = T(T(z,y) / y,u). T(x * T(y,z),x) / x = T(T(x * y,x) / x,z). (((x * y) / x) / y) * (1 / y) = (1 / y) * ((1 / y) * ((x * ((1 / y) \ 1)) / x)). (1 / x) * ((1 / x) * ((y * ((1 / x) \ 1)) / y)) = (((y * x) / y) / x) * (1 / x). (1 / x) * (((y * x) / y) / x) = (((y * x) / y) / x) * (1 / x). (((x * y) / x) / y) * (1 / y) = (1 / y) * (((x * y) / x) / y). ((1 / x) * (((y * x) / y) / x)) / (1 / x) = ((y * x) / y) / x. (x \ y) \ 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)). K(T(x / y,T(y,x)),T(y,x)) = x \ (y * T(y \ x,T(y,x))). x \ (y * T(y \ x,T(y,x))) = K(T(x / y,T(y,x)),T(y,x)). L(x,y,z) \ T(x,u) = T(x,u) * (L(x,y,z) \ 1). T(x,y) * (L(x,z,u) \ 1) = L(x,z,u) \ T(x,y). (x / y) * ((x * (y \ 1)) \ z) = (x * (y \ 1)) \ ((x / y) * z). (x * (y \ 1)) \ ((x / y) * z) = (x / y) * ((x * (y \ 1)) \ z). (1 / x) * (L(x \ 1,x,y) * x) = (y * x) \ y. (x * y) \ x = (1 / y) * (L(y \ 1,y,x) * y). (x * y) \ x = (1 / y) * (((x * y) \ x) * y). (1 / x) * (((y * x) \ y) * x) = (y * x) \ y. x * y != (1 / z) * (((u * z) \ u) * z) | x \ ((u * z) \ u) = y. x \ ((y * (x \ 1)) \ y) = ((y * (x \ 1)) \ y) * (x \ 1). ((x * (y \ 1)) \ x) * (y \ 1) = y \ ((x * (y \ 1)) \ x). ((x * y) \ y) / (T(x,y) \ 1) = T(x,y) * ((x * y) \ y). K(x \ 1,(1 / x) \ (y / x)) = (T(y,1 / x) / x) \ (y / x). K(x \ 1,(1 / x) \ (y / x)) = (T(y,x \ 1) / x) \ (y / x). (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) \ T(y,z) = x * T(x \ ((1 / x) \ y),z). x * T(x \ ((1 / x) \ y),z) = (1 / x) \ T(y,z). ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((1 / x) \ y),x). x * y != L(1 / z,z,u) | x \ ((u * (1 / (1 / z))) \ u) = y. (1 / x) \ ((y * (1 / (1 / x))) \ y) = x * ((y * x) \ y). L((x * ((y * x) \ y)) \ z,(1 / x) \ ((y * (1 / (1 / x))) \ y),1 / x) = ((y * (1 / (1 / x))) \ y) \ ((1 / x) * z). L((x * ((y * x) \ y)) \ z,x * ((y * x) \ y),1 / x) = ((y * (1 / (1 / x))) \ y) \ ((1 / x) * z). x != (y * ((y \ z) * u)) \ (z * u) | x = a(y,y \ z,u). a(x \ y,T(x,x \ y),z) = a(x \ y,(x \ y) \ y,z). R(((x * y) / x) / y,y,x) = ((1 / y) * ((x * y) / (y * x))) / (1 / y). (x * y) / (y * x) = ((1 / y) * ((x * y) / (y * x))) / (1 / y). ((1 / x) * ((y * x) / (x * y))) / (1 / x) = (y * x) / (x * y). T((x * y) / (y * x),y * x) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). (x * y) \ (y * x) = ((1 / x) * ((x * y) \ (y * x))) / (1 / x). ((1 / x) * ((x * y) \ (y * x))) / (1 / x) = (x * y) \ (y * x). ((1 / x) * ((x * y) \ (y * x))) / (1 / x) = K(y,x). ((1 / x) * K(y,x)) / (1 / x) = K(y,x). K(x,y) * (1 / y) = (1 / y) * K(x,y). (1 / x) * y != z * (1 / x) | y = T(z,x \ 1). K(x,y) = T(K(x,y),y \ 1). T(K(x,y),y \ 1) = K(x,y). T(x \ 1,K(y,x)) = x \ 1. x * K(y,x \ 1) = K(y,x \ 1) * x. K(x,y \ 1) * y = y * K(x,y \ 1). T((x * y) \ x,K(z,y)) = L(y \ 1,y,x). T(x \ y,K(z,y \ x)) = L((y \ x) \ 1,y \ x,y). x != L((y \ z) \ 1,y \ z,y) | x = z \ y. T(x \ y,K(z,y \ x)) = x \ y. K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z). ((x * (y / (y / z))) / x) \ ((y / z) * ((x * z) / x)) = y / z. ((x * (y / (y / T(z,x)))) / x) \ ((y / T(z,x)) * z) = y / T(z,x). ((x * (1 / (1 / T(y,x)))) / x) \ (y / T(y,x)) = 1 / T(y,x). ((x * T(1 / (1 / y),x)) / x) \ (y / T(y,x)) = 1 / T(y,x). (1 / (1 / x)) \ (x / T(x,y)) = 1 / T(x,y). (x * y) * T((x * y) \ z,x) != u | ((x \ (z / y)) * x) * y = u. T(x \ (y * (z \ x)),z) = R(T(z \ y,x),z,z \ x). R(T(x \ y,z),x,x \ z) = T(z \ (y * (x \ z)),x). x * T(x \ (y * (z \ x)),z) = ((z \ y) * z) * (z \ x). ((x \ y) * x) * (x \ z) = z * T(z \ (y * (x \ z)),x). ((x \ T(x,y)) * x) / (x \ T(x,y)) = L(x,x \ T(x,y),x). 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)). L(x,x \ T(x,y),x) != z * u | z \ x = u. (x \ T(x,y)) \ x = x * (T(x,y) \ x). (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 * (T(x,R(y,x,(y * x) \ x)) \ x) = K(x,y) \ x. x * (K(x,y) \ 1) = K(x,y) \ x. x * y != K(z \ 1,R(z,u,w)) \ (z \ 1) | x \ ((z \ R(z,u,w)) / R(z,u,w)) = y. (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. K(R(x,y,z),x \ 1) = K(x \ 1,R(x,y,z)) \ 1. K(x \ 1,R(x,y,z)) \ 1 = K(R(x,y,z),x \ 1). 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)) \ 1 = R(x,y,z) * (1 / R(x,y,z)). R(x,y,z) * (1 / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. x != K(y \ 1,R(y,z,u)) \ 1 | x = K(R(y,z,u),y \ 1). R(x,y,z) * (1 / R(x,y,z)) = K(R(x,y,z),x \ 1). K(x \ 1,R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. (x * K(y \ 1,y)) * z != u * (x * z) | K(y \ 1,R(y,x,z)) = u. K(x,R(x \ 1,y,z)) * (y * z) = (y * K((x \ 1) \ 1,x \ 1)) * z. K(x,R(x \ 1,y,z)) * (y * z) = (y * K(x,x \ 1)) * z. 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). 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). 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). x * y != (z * K(u,u \ 1)) * w | (K(u,u \ 1) * (z * w)) / y = x. (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,K(x,x \ 1),z). (K(x,x \ 1) * y) * z = K(x,x \ 1) * (y * z). x * y = K(z,z \ 1) * ((K(z \ 1,z) * x) * y). K(x,x \ 1) * ((K(x \ 1,x) * y) * z) = y * z. R(K(x,x \ 1),y,z) = K(x,x \ 1). L(x,y,K(z,z \ 1)) = x. x * y != z * ((1 / u) * u) | z / y = x. 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) \ (K(x,x \ 1) * z) = y \ 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). (x * K(y \ 1,y)) \ 1 = x \ K(y,y \ 1). (x * K(y \ 1,y)) \ (z * K(y \ 1,y)) = x \ z. 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). K(x \ 1,x) * (y * z) = (K(x \ 1,x) * y) * z. (K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z). x \ K(y,y \ 1) = (K(y \ 1,y) * x) \ 1. (K(x \ 1,x) * y) \ 1 = y \ K(x,x \ 1). (x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z). L(x,y,K(z \ 1,z)) = x. (K(x \ 1,x) * y) \ (K(x \ 1,x) * z) = y \ z. ((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u). (x / (1 / y)) * z = K(y \ 1,y) * ((x / (y \ 1)) * z). K(x \ 1,x) * ((y / (x \ 1)) * z) = (y / (1 / x)) * z. K(x \ 1,R(x,y,z)) = K(x \ 1,x). K(x \ 1,x) / y = (1 / y) * K(x \ 1,x). (1 / x) * K(y \ 1,y) = K(y \ 1,y) / x. (K(x \ 1,x) * (y * (z * u))) \ (((y * K(x \ 1,x)) * z) * u) = a(y * K(x \ 1,x),z,u). (K(x \ 1,x) * (y * z)) \ ((y * K(x \ 1,x)) * (z * u)) = L(u,z,y * K(x \ 1,x)). (x * (y * K(z \ 1,z))) \ (x * (K(z \ 1,z) * (y * u))) != w | L(u,y * K(z \ 1,z),x) = w. (K(x \ 1,x) * (y * ((1 / x) * z))) / ((x \ 1) * z) = R(y,K(x \ 1,x),(1 / x) * z). K(x \ 1,x) * (y * K(x,x \ 1)) != z | z = y. 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)). x != K(y \ 1,R(y,z,u)) | x = K(R(y,z,u) \ 1,R(y,z,u)). K(x \ 1,x) = K(R(x,y,z) \ 1,R(x,y,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). 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). x \ R(x,y,z) != u | R(x,y,z) / x = u. (x \ 1) * (x * R(x \ 1,y,z)) = R(x \ 1,y,z). T(x,x \ R(x,y,z)) = x. x * y != R(R(z,u,w),v5,v6) | R(R(z,v5,v6),u,w) / y = x. R(R(x,y,z),u,w) / R(x,u,w) = R(x,u,w) \ R(R(x,u,w),y,z). x * y != R(z / u,u,u \ 1) | (z * (u \ 1)) / y = x. (x * (y \ 1)) / (x / y) = (x / y) \ R(x / y,y,y \ 1). (x / y) \ R(x / y,y,y \ 1) = (x * (y \ 1)) / (x / y). R(x,y,z) * u != (x \ R(x,y,z)) * x | 1 = u. 1 = K(x \ R(x,y,z),x). K(x \ R(x,y,z),x) = 1. (R(x,y,z) * u) / (x * u) = R(x \ R(x,y,z),x,u). R(x \ R(x,y,z),x,u) = (R(x,y,z) * u) / (x * u). a(x,y,y \ 1) * x = R(x,y,y \ 1). x != y \ R(y,z,z \ 1) | x = a(y,z,z \ 1). R(x,y,y \ 1) / x = a(x,y,y \ 1). R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). T((R(x \ R(x,y,z),x,y * z) \ 1) \ 1,x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. T(R(((x \ R(x,y,z)) \ 1) \ 1,x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. L(x,y,z \ 1) = L(x,y,1 / z). L(x,y,1 / z) = L(x,y,z \ 1). 1 * x = L(x,y,K(z \ 1,z)). L(x,y,K(z \ 1,z)) = 1 * x. x != L(T(y,z),z,K(u \ 1,u)) | x = R(T(y,z * K(u \ 1,u)),z,K(u \ 1,u)). T(x,y) = R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)). R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = T(x,y). 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). L(x,y,K(z,1 / z)) = x. (K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z). L(x,y,K(z \ u,u \ z)) = x. L(x,y,1 / z) != u | L(x,y,z \ 1) = u. x != (K(y \ 1,y) * (z * ((1 / y) * u))) / ((y \ 1) * u) | x = R(z,K(y \ 1,y),(1 / y) * u). K(x \ 1,x) * ((y * ((1 / x) * z)) / ((x \ 1) * z)) = R(y,K(x \ 1,x),(1 / x) * z). T(K(x \ 1,x) * (y / z),z) = z \ (K(x \ 1,x) * 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). K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = 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. R(x * y,z,u) = (y \ R(y * x,z,u)) * y. (x \ R(x * y,z,u)) * x = R(y * x,z,u). R(x * y,z,u) / y = y \ R(y * x,z,u). (x \ R(y,z,u)) * x = R((x \ y) * x,z,u). (x \ (y * (z \ 1))) * x = R((x \ (y / z)) * x,z,z \ 1). R((x \ (y / z)) * x,z,z \ 1) = (x \ (y * (z \ 1))) * x. (x \ (y * z)) * x = R((x \ (y / (1 / z))) * x,z \ 1,z). R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x. 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 = (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 * y != (z * (u \ T(u,z))) * u | (u * z) / y = x. (x * y) / T(x,y) = R(y,x \ T(x,y),x). R(x,y \ T(y,x),y) = (y * x) / T(y,x). x \ ((y * x) / y) = y \ T(y,x). x * y != (z * T(u,z)) / z | x \ u = y. T(x,y) \ x = y \ T(y,T(x,y)). x * y != ((z / u) * u) / w | x \ (z / w) = y. x \ (y / (y / x)) = (y / x) \ T(y / x,x). (x / y) \ T(x / y,y) = y \ (x / (x / y)). (x \ 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 * (z \ T(z,y)) | x = (z \ T(z,y)) * y. (x * y) / x = (x \ T(x,y)) * y. (x \ T(x,y)) * y = (x * y) / x. (x * y) \ ((x * y) / x) = L(x \ 1,T(x,y),y). ((x * y) / x) * (y \ 1) = x \ T(x,y). R(x \ T(x,y),y,z) \ (((x * y) / x) * z) = y * z. R(x \ T(x,y),y,((x * y) / x) \ z) \ z = y * (((x * y) / x) \ z). L(x * ((y * (x \ 1)) / y),z,u) = y \ T(y,L(x,z,u) \ 1). K(x,(x / y) / x) = x \ T(x,y \ 1). 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 != (y \ z) * ((u * ((y \ z) \ 1)) / u) | x = y \ (z * ((u * (z \ y)) / u)). x \ T(x,(y \ z) \ 1) = y \ (z * ((x * (z \ y)) / x)). x \ (y * ((z * (y \ x)) / z)) = z \ T(z,(x \ y) \ 1). (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((x \ T(x,z \ 1)) * (x \ y)). T(x \ T(x,y \ 1),z) = K(x,(x / T(y,z)) / x). x \ T(x,y \ 1) != z | K(x,(x / y) / x) = z. R(x \ T(x,y \ 1),z,u) = K(x,(x / R(y,z,u)) / x). K(x,(x / y) / x) * (y * z) = y * ((x \ T(x,y \ 1)) * z). L(x \ T(x,y \ 1),z,u) = x \ T(x,L(y,z,u) \ 1). x \ T(x,L(y,z,u) \ 1) = L(x \ T(x,y \ 1),z,u). 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 != (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 / y) \ (y \ x) = y \ (x / (x / 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) * (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. 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). K(x \ R(x,y,z),x) = (1 / u) * u. K(x \ R(x,y,z),x) = (u \ K(u,u \ 1)) * u. K(x \ R(x,y,z),x) = (u \ K(u,R(u \ 1,w,v5))) * u. 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). (K(x,x \ 1) * y) / z = K(x,x \ 1) * (y / z). x != y \ R(y,z \ 1,z) | x = a(y,1 / z,z). a(x,y \ 1,y) = a(x,1 / y,y). a(x,1 / y,y) = a(x,y \ 1,y). x * a(x,y \ 1,y) = R(x,y \ 1,y). x \ T(x,x \ 1) = a(x,x \ 1,x). K(x,x \ 1) = a(x,x \ 1,x). a(x,x \ 1,x) = K(x,x \ 1). x != (y * z) / T(y,z) | x = z. R(x,y \ T(y,x),y) = x. T(x,y) = R(T(x,y),z \ T(z,x),z). R(T(x,y),z \ T(z,x),z) = T(x,y). T(x,y) * T(z,x) = (T(x,y) * (z \ T(z,x))) * z. (T(x,y) * (z \ T(z,x))) * z = T(x,y) * T(z,x). 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,u)) | x = T(y,u / (z * u)). T(x,y \ 1) = T(x,x / (y * x)). T(x,x / (y * x)) = T(x,y \ 1). x * (y * ((x \ y) / y)) = T(y,x \ 1). x != T(y,y / (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,z / (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 * y != T(z,z / (z * u)) | T(x,y) = y \ T(z,u \ 1). T(x * ((x / y) / x),y) = 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 != z * ((u \ z) / z) | x \ (u \ T(z,u \ 1)) = y. x \ (y \ T(x,y \ 1)) = (y \ x) / x. (x / y) \ T(x,(x / y) \ 1) = x * (y / x). x \ T(y,x \ 1) = y * R(1 / x,x,x \ y). x * R(1 / y,y,y \ x) = y \ T(x,y \ 1). (x \ 1) \ T(y,x) = y * (((x \ 1) \ y) / y). 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. (x * K(y,y \ 1)) \ 1 = x \ K(y \ 1,y). (x * K(y,y \ 1)) \ (1 / y) = x \ (y \ 1). ((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. x * R(y \ R(y,z,u),y,w) = x * ((R(y,z,u) * w) / (y * w)). x != K(y,(y / z) / y) | x = y \ T(y,z \ 1). R(x \ T(x,y \ 1),z,u) = x \ T(x,R(y,z,u) \ 1). x \ T(x,R(y,z,u) \ 1) = R(x \ T(x,y \ 1),z,u). T((x \ 1) * (x * ((y * (x \ z)) / y)),y) = y \ (K(x \ 1,x) * (y * ((1 / x) * z))). T((x \ 1) * (x * ((y * (x \ z)) / y)),y) != u | L((x \ 1) * z,K(x,x \ 1),y) = u. ((x \ 1) \ 1) / y = K(x,x \ 1) * (x / y). K(x,x \ 1) * (x / y) = ((x \ 1) \ 1) / y. R(K(x,x \ 1) * (y / z),z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). (x / y) * K(x,x \ 1) = ((x \ 1) \ 1) / y. L(x,y,K(z \ 1,z)) != u | u = x. L(x,y,K(z,z \ 1)) != u | u = x. (K(x,x \ 1) * y) \ (K(x,x \ 1) * z) != u | u = y \ z. (K(x,x \ 1) * y) \ (K(x,x \ 1) * z) != u | y \ z = u. R(x,y,z) / u = u \ R(u * (x / u),y,z). x \ R(x * (y / x),z,u) = R(y,z,u) / x. x * (R(y,z,u) / x) = R(x * (y / x),z,u). R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). ((x * ((y / z) / x)) * z) * (y \ u) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) = ((x * ((u / z) / x)) * z) * (u \ y). (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) != w | ((x * ((u / z) / x)) * z) * (u \ y) = w. x != (y * ((z / (u * (y \ z))) / y)) * (u * (y \ z)) | x = y * ((y \ T(y,u \ 1)) * (y \ z)). ((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 \ T(x,y)) * z = T(x,y) * (x \ z). x * y != T(x,z) * (x * u) | y = T(x,z) * u. (x \ T(x,y)) * (x * z) = T(x,y) * z. x * ((x * y) / x) = T(x,y) * y. T(x,y) * y = x * ((x * y) / x). x != (y \ T(y,z)) * z | x = (y * z) / y. T(x,y) * (x \ y) = (x * y) / x. 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. x * y != (z \ T(z,u)) * u | x \ ((z * u) / z) = y. T(x,y) \ ((x * y) / x) = x \ 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 * x) * z != (x * (y * x)) / x | T(y,T(x,y * x)) = z. T(x,T(y,x * y)) = y \ (x * y). x * (y \ z) != (y * z) / y | x = T(y,y / (y / z)). T(x,y) = T(x,x / (x / y)). T(x,x / (x / y)) = T(x,y). T(x,x * y) * y = (x * (x * y)) / x. (x * (x * y)) / x = T(x,x * y) * y. L(((x * y) / x) / y,y,x) = K(T(x,y),y). x != T(y,y / (y / z)) | x = (y / z) * ((y * z) / y). T(x,y) = (x / y) * ((x * y) / x). (x / y) * ((x * y) / x) = T(x,y). x != T(y,y / (y / (y * z))) | x = T(y,y / (1 / z)). T(x,x * y) = T(x,x / (1 / y)). T(x,x / (1 / y)) = T(x,x * y). T(x,T(y,x)) = (x / T(y,x)) * y. (x / T(y,x)) * y = T(x,T(y,x)). x * y != T(z,z / (z / u)) | x \ T(z,u) = y. (x / y) \ T(x,y) = (x * y) / x. T(x,x / y) = T(x,y \ x). T(x,y) = T(x,(y \ x) \ x). T(x,(y \ x) \ x) = T(x,y). T(T(x,y) / (x / y),x) = x / (x / y). x * y != T(z,z / u) | T(z,u \ z) / y = x. T(x,y \ x) / y = (x * (x / y)) / x. x * y != T(z,z / u) | x \ T(z,u \ z) = y. x \ T(y,x \ y) = (y * (x \ y)) / y. T(T(x,y \ x) / y,x) = x / y. L(x \ T(x,y),y,x) = K(T(x,y),y). x != L(y \ T(y,z),z,y) | x = K(y,(y * z) / y). K(T(x,y),y) = K(x,(x * y) / x). K(T(x,x \ y),x \ y) = K(x,y / x). K(T(x,T(y,x)),T(y,x)) = K(x,y). T(x,T(y,x)) * (y \ T(y,x)) = x. x * y != L(z,u \ T(u,w),u) | x \ z = y. T(x,T(y,x)) \ x = y \ T(y,x). (x \ T(x,y)) \ y = T(y,T(x,y)). (x \ T(x,y)) \ z = x * (T(x,y) \ z). x * ((x \ T(x,y)) * T(z,x * (x \ T(x,y)))) = z * (x * (x \ T(x,y))). x != y * (z \ T(z,x)) | T(x,T(z,x)) = y. x * (y \ T(y,z)) != z | T(z,T(y,z)) = 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,T(y,x)) \ x) = (y * x) / y. (x * y) / x = y * (T(y,T(x,y)) \ y). T(x,R(T(y,x),T(y,x) \ 1,x)) \ x = y \ T(y,x). L(x,T(y,T(z,y)) \ y,z) = x. T(x * (T(x,T(y,x)) \ x),y) = x. (x * (T(y,x) \ y)) \ x = y \ T(y,x). L(x,T(y,z) \ y,(y * z) / y) = x. (x \ T(x,y)) \ (T(x,y) * z) = x * 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. (x \ T(x,y)) \ z != u | x * (T(x,y) \ z) = u. x / (y \ T(y,x)) = x * (T(y,x) \ y). (x * (y \ T(y,x))) \ (x * x) = x * (T(y,x) \ y). (x * (y \ T(y,x))) \ x = T(y,x) \ y. ((x * y) / x) \ y = T(x,y) \ x. (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). (T(x,y) \ x) * ((x * y) / x) = y. ((x * y) / x) \ y = T(x,R(y,y \ 1,x)) \ x. T(x,R(y,y \ 1,x)) \ x = ((x * y) / x) \ y. x * y != T(z,R(u,u \ 1,z)) \ z | x \ (((z * u) / z) \ u) = y. x \ (((x * y) / x) \ y) = T(x,R(y,y \ 1,x)) \ 1. T(x,R(y,y \ 1,x)) \ 1 = x \ (((x * y) / x) \ y). ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,(x * y) / x). x * y != L(z,T(u,w) \ u,(u * w) / u) | x \ z = y. ((x * y) / x) \ z = y \ ((T(x,y) \ x) * z). x \ ((T(y,x) \ y) * z) = ((y * x) / y) \ z. x * (((y * x) / y) \ z) = (T(y,x) \ y) * z. x != y * (((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 * y != (z / u) * ((w / u) \ w) | z / y = x. x / (y * (x / y)) = T(y,x / y) \ y. T(x,y / x) \ x = y / (x * (y / x)). x * y = (T(y,x) \ y) * (y * x). (T(x,y) \ x) * (x * y) = y * x. (x * y) * z != y * x | T(T(x,y) \ x,x * y) = z. T(T(x,y) \ x,x * y) = K(y,x). (x * y) / (y * x) = T(y,x) \ y. (x * y) / (y * x) != z | z = T(y,x) \ y. (x * y) / (y * x) != z | T(y,x) \ y = z. x != (y / z) \ (z \ y) | x = z \ (y / (y / z)). T(x,x \ y) \ x = x \ (y / (y / x)). R(x \ T(x,y),x,z) = x \ T(x,y). 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 * 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 != (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 * y,y) = ((x * y) * y) / (x * y). ((x * y) * y) / (x * y) = x \ T(x * y,y). T(x \ T(x * y,y),x * y) = y. (x \ T(x * y,y)) * x = x * R(y,x,y). T(x \ T(x * y,y),x) = R(y,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)). x / ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x))) = x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)). x / K(y,x) = x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)). x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x / K(y,x). x * (((x * y) \ (x * T(x \ (x * y),x))) \ 1) = x / K(y,x). x * (((x * y) \ (x * T(y,x))) \ 1) = x / K(y,x). x * (((x * y) \ (y * x)) \ 1) = x / K(y,x). x * (K(y,x) \ 1) = x / K(y,x). x != y / K(z,y) | x = K(z,y) \ y. x * (K(y,x) \ 1) = K(y,x) \ x. 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. (K(x,y) \ y) \ (K(x,y) \ 1) = y \ 1. (K(x,y) \ y) * (y \ 1) = K(x,y) \ 1. (K(x,y) \ 1) * ((y \ 1) \ 1) = R(K(x,y) \ y,y \ 1,y). R(K(x,y) \ y,y \ 1,y) = (K(x,y) \ 1) * ((y \ 1) \ 1). (K(x,y) \ 1) * T(y,z) = K(x,y) \ T(y,z). (K(x,y) \ 1) * ((y \ z) \ z) = K(x,y) \ T(y,y \ z). K(x,y) \ T(y,y \ z) = (K(x,y) \ 1) * ((y \ z) \ z). K(x,y) \ ((y \ z) \ z) = (K(x,y) \ 1) * ((y \ z) \ z). (K(x,y) \ 1) * ((y \ z) \ z) = K(x,y) \ ((y \ z) \ z). x != (K(y,z) \ 1) * ((z \ 1) \ 1) | x = R(K(y,z) \ z,z \ 1,z). K(x,y) \ ((y \ 1) \ 1) = R(K(x,y) \ y,y \ 1,y). R(K(x,y) \ y,y \ 1,y) = K(x,y) \ ((y \ 1) \ 1). x * (K(x,y) * (K(x,y) \ ((y \ 1) \ 1))) = (T(y,y \ 1) * x) * K(x,y). (T(x,x \ 1) * y) \ (y * ((x \ 1) \ 1)) = K(y,x). K(x,(y \ 1) \ 1) = K(x,y). K(x,y) != z | K(x,(y \ 1) \ 1) = z. K(x,y) = K(K(y \ 1,y) * x,y). K(K(x \ 1,x) * y,x) = K(y,x). x != K(((y \ 1) \ 1) \ z,(y \ 1) \ 1) | x = K(y \ z,y). K(((x \ 1) \ 1) \ y,x) = K(x \ y,x). K(x,y \ 1) = K(x,1 / y). K(x,1 / y) = K(x,y \ 1). K(x,y) = K(x,1 / (1 / y)). K(x,1 / (1 / y)) = K(x,y). K(x,T(y,1 / y)) = K(x,y). K(x,T(y \ 1,z)) = K(x,T(1 / y,z)). K(x,T(1 / y,z)) = K(x,T(y \ 1,z)). K(x,T(y / z,z / y)) = K(x,y / z). ((x \ 1) \ 1) * K(y,(x \ 1) \ 1) = (x \ 1) \ K(y,x). K(x,T(y / z,y \ z)) = K(x,y / z). K(x,((y \ 1) \ z) / z) = K(x,((1 / y) \ z) / z). K(x,((1 / y) \ z) / z) = K(x,((y \ 1) \ z) / z). (1 / x) * K(y,1 / x) = K(y,x \ 1) / x. R(x,x \ T(x,y),z) = x. L(x,y,y \ 1) \ ((1 / y) * (x * y)) = T(y,(1 / y) * (x * y)) \ y. (x * (y / x)) / y = T(y / x,x) \ (y / x). T(x / y,y) \ (x / y) = (y * (x / y)) / x. (x \ y) \ (y / x) = (x * (y / x)) / y. (x * (y / x)) / y = (x \ y) \ (y / x). x \ ((x \ y) \ y) = (x * (y / x)) / y. (x * (y / x)) / y = x \ ((x \ y) \ y). (x * (y / x)) / y != z | x \ ((x \ y) \ y) = z. x \ ((x \ (y \ x)) \ (y \ x)) = x \ T(x,y \ 1). (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) / T(y,x \ 1) = y \ (x \ y). (x \ (y \ x)) * T(x,y \ 1) = y \ x. T(x,y \ 1) \ x = x \ ((y \ x) / ((y \ x) / x)). x \ ((y \ x) / ((y \ x) / x)) = T(x,y \ 1) \ x. x != y \ ((z \ y) / ((z \ y) / y)) | x = z * T(z \ 1,y). T(x,y \ 1) \ x = y * T(y \ 1,x). 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). (T(x,y \ 1) \ x) \ (y * (T(y \ 1,x) * z)) != u | L(z,T(y \ 1,x),y) = u. T(x,y \ 1) \ x != z | K(x \ (x / y),x) = z. T(x,y) \ x = y \ T(y,x). T(x,y / x) \ x = x \ (y / (y / x)). T(x,y) * (y \ T(y,x)) = 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. T(x,T(y,x)) = T(x,y). T(x,y) \ x != z | z = y \ T(y,x). T(x,y) \ x != z | y \ T(y,x) = z. x * y = T(x,y) * T(y,x). T(x,y) * T(y,x) = x * y. T(x,y) \ (x * y) = T(y,x). T(x,x \ y) \ y = T(x \ y,x). ((x \ y) \ y) \ y = T(x \ y,x). T(x \ y,x) = ((x \ y) \ y) \ y. x * y != T(z,T(u,z)) | T(x,y) = y \ T(z,u). T(x / T(y,x),y) = y \ T(x,y). x != T(y,T(z,y)) | x = R(T(y,y * z),z,y). T(x,y) = R(T(x,x * y),y,x). R(T(x,x * y),y,x) = T(x,y). 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(z,y)) | x = z * (T(z,y) \ y). T(x,y) = y * (T(y,x) \ x). x * (T(x,y) \ y) = T(y,x). x * y != T(z,T(u,z)) | T(z,u) / y = x. T(x,y) / y = x / T(y,x). T(x,y) / (T(y,x) \ x) = y. x * y != T(z,T(u,z)) | x \ T(z,u) = y. x \ T(y,x) = T(x,y) \ y. T(x,y) \ y = x \ T(y,x). T(x,L(T(y,x),z,u)) = T(x,L(y,z,u)). T(x,x \ y) = T(x,y / x). T(x,y / x) = T(x,x \ y). T(x,y) * L(T(y,x),z,u) = L(y,z,u) * T(x,y). T(x,y) * T(T(y,x),z) = T(y,z) * 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(y,x) = T(x,y). T(x * (T(x,y) \ x),y) = x. (x * y) * T(x,y) = R(x,y,x) * (x * y). R(x,y,x) * (x * y) = (x * y) * T(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). x != (T(y,z) \ y) * T(y,z) | x = y. T(x,y) * (x \ T(y,x)) = y. K(x \ (x / y),x) \ x = T(x,y \ 1). K(x \ y,x) \ x = T(x,(y \ x) \ 1). T(x,(y \ x) \ 1) = K(x \ y,x) \ x. x * K(x,y / x) = K(x \ y,x) \ x. K(x \ y,x) \ x = x * K(x,y / x). K(x \ y,x) \ 1 = K(x,y / x). K(x,y) \ 1 = K(y,(y * x) / y). K(x,(x * y) / x) = K(y,x) \ 1. 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(T(x,y),y) * K(y,x) = 1. 1 != K(T(x,y),y) * z | K(y,x) = z. K(T(x,y),y) * z != 1 | K(y,x) = z. K(T(x,y),y) \ 1 != z | z = K(y,x). K(T(x,y),y) \ 1 != z | K(y,x) = z. K(T(x,T(y,x)),T(y,x)) != z | K(x,y) = z. L(x \ T(x,T(y,x)),T(y,x),x) != z | K(x,y) = z. 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 \ T(y * x,y) = R(y,x,y). 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). L(R(x,y,x),y,x) = x. R(x,T(y,x),T(x,y)) = R(x,T(y,x),x). T(x * y,x) != y * z | R(x,y,x) = z. (x * y) \ (x * T(z * y,z)) = L(R(z,y,z),y,x). x \ T(y * x,y) != z | z = R(y,x,y). x \ T(y * x,y) != z | R(y,x,y) = z. T(x * y,x) * L((y * R(x,y,x)) \ z,u,w) = y * (R(x,y,x) * L(R(x,y,x) \ (y \ z),u,w)). x * (R(y,x,y) * L(R(y,x,y) \ (x \ z),u,w)) = T(y * x,y) * L((x * R(y,x,y)) \ z,u,w). 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). T(x * y,x) * K(R(x,y,x),y) = (y \ T(x * y,x)) * y. T(T(x,L(y,z,u)),w) = T(T(x,w),L(T(y,x),z,u)). T(T(x,y),L(T(z,x),u,w)) = T(T(x,L(z,u,w)),y). (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 * (x * y) = T(x,y) * (y * x). T(x,y) * (y * x) = x * (x * y). x != (1 / y) * T((1 / y) \ (z / y),u) | x = T(z,u) / y. (T(x,(y / z) / (1 / z)) \ x) * (y / z) = T(y,x) / z. T((T(x,y) * y) / T(x,y),x) = y. R(T(x,y),x \ y,x) = T(x,x \ y). (x * (R(x,y,z) * T(u,x))) \ ((u * x) * R(T(x,u),y,z)) = a(x,T(u,x),R(T(x,u),y,z)). T(x * y,x) * T(x,y) = R(x,y,x) * T(x * y,x). R(x,y,x) * T(x * y,x) = T(x * y,x) * T(x,y). x != T(y * z,y) * T(y,z) | x = (y * z) * R(y,z,y). R(x,y,x) * T(x * y,x) = (x * y) * R(x,y,x). (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = L(R(x,y,x),y,R(x,y,x)). x * y != z * T(y,x) | T(x,y) = z. x * T(y,z) != z * y | T(z,y) = x. (x * (y * z)) \ ((x * T(y,z)) * T(z,y)) = a(x,T(y,z),T(z,y)). (T(x,y) * (T(y,x) * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). R(x,T(y,z),T(z,y)) * (y * z) = (x * T(y,z)) * T(z,y). R(T(x,y),x \ y,x) = (x \ y) \ y. T(x,y) * T(y,y \ x) = R(y,y \ x,y) * T(x,y). R(x,x \ y,x) * T(y,x) = T(y,x) * T(x,x \ y). x * y != T(z,u) * (z \ u) | x \ ((z * u) / z) = y. x \ ((x * y) / x) = ((y * x) / y) \ y. ((x * y) / x) \ x = y \ ((y * x) / y). 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 * (R(y,x,y) * L(R(y,x,y) \ (x \ z),u,w)) = T(y * x,y) * L(T(y * x,y) \ z,u,w). K(x,L(L(1 / y,z,u),w,v5)) = K(x,L(L(y \ 1,z,u),w,v5)). T(x,y / x) = (x \ y) \ y. x != T(y,z / y) | x = R(T(y,z),z / y,y). T(x,x \ y) = R(T(x,y),y / x,x). R(T(x,y),y / x,x) = T(x,x \ y). (x / y) * T(y,y \ x) = y * (x / y). (x * (y / x)) / T(x,x \ y) = y / x. (x * (y / x)) * x = y * T(x,x \ y). (x * y) \ (y * T(x,x \ y)) = a(x,y / x,x). T(x,y) * T(y,y \ x) = R(y,x / y,y) * T(x,y). R(x,y / x,x) * T(y,x) = T(y,x) * T(x,x \ y). x * T(y,z) != T(y,z) * T(z,z \ y) | x = R(z,z \ y,z). R(x,y / x,x) = R(x,x \ y,x). R(x,(x * y) / x,x) = R(x,y,x). R(x,y,x) = R(x,T(y,x),x). R(x,T(y,x),x) = R(x,y,x). x != R(y,T(z,y),y) | x = R(y,T(z,y),T(y,z)). R(x,y,x) = R(x,T(y,x),T(x,y)). R(x,T(y,x),T(x,y)) = R(x,y,x). R(R(x,y,x),z,u) = R(R(x,z,u),T(y,x),T(x,y)). R(R(x,y,z),T(u,x),T(x,u)) = R(R(x,u,x),y,z). R(R(x,y,x),z,u) * (y * x) = (R(x,z,u) * T(y,x)) * T(x,y). (R(x,y,z) * T(u,x)) * T(x,u) = R(R(x,u,x),y,z) * (u * x). (R(x,y,z) * T(u,x)) * T(x,u) = (R(x,y,z) * u) * x. T(x * y,x) * T(x,y) = (R(x,y,x) * y) * x. (R(x,y,x) * y) * x = (x * y) * R(x,y,x). (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) != z | z = x. L(R(x,y,x),y,R(x,y,x)) = x. T(x,y) = (x \ (y * x)) \ (y * x). (x \ (y * x)) \ (y * x) = T(x,y). ((x / y) * ((y \ x) \ x)) / (x / y) = y. (x * (y / x)) * x = y * ((x \ y) \ y). x != ((y / z) * ((z \ u) \ u)) / (y / z) | x = T(y / (y / z),z \ u). x = T(y / (y / x),x \ y). T(x / (x / y),y \ x) = y. 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) * x) / (x \ y) = y / (y / x). T(x / (x / y),x) = L(y,y \ x,y). T(T(x / (x / y),x),z) = L(T(y,z),y \ x,y). T(x / y,x) = L(y \ x,(y \ x) \ x,y \ x). L(x \ y,(x \ y) \ y,x \ y) = T(y / x,y). x * T(x / (x / y),x) = y * ((y \ x) * y). x != L(R(y,z,u),w,v5) | x = R(L(y,w,v5),z,u). x = R(L(x,y,x),y,x). R(L(x,y,x),y,x) = x. R(x,y,z) = L(R(R(x,u,x),y,z),u,x). L(R(R(x,y,x),z,u),y,x) = R(x,z,u). (x * (y * x)) / x = L(x,y,x) * y. T((x * y) / x,L(x,y,x)) = y. x * T(y,x * y) = L(y,x,y) * x. x * y != L(z,u,z) * u | ((z * (u * z)) / z) / y = x. ((x * (y * x)) / x) / y = L(x,y,x). x * y != L(z,u,z) * u | x \ ((z * (u * z)) / z) = y. L(x,y,x) \ ((x * (y * x)) / x) = y. T(L(x,y,x) * y,x) = y * x. L(x \ y,x,L(z,x,z)) = ((z * (x * z)) / z) \ (L(z,x,z) * y). (x * ((x \ y) * x)) / x != z | (x \ y) * T(x,y) = z. T((x * y) / x,x * y) = L(y,x,y). x * y != L(z,x,z) * x | y = T(z,z * x). T(x,y * x) = T(x,x * y). (x \ y) * z != L(x,x \ y,x) * (x \ y) | z = T(x,y). T(x,(x \ y) * x) = T(x,y). T(T(x,y),z) = T(T(x,z),(x \ y) * x). T(T(x,y),(x \ z) * x) = T(T(x,z),y). ((x \ y) * x) * T(x,y) != z | x * ((x \ y) * x) = z. T(x,y) = T(x,x * (y / x)). T(x,x * (y / x)) = T(x,y). T((x \ y) * T(x,y),x) = (x \ y) * x. T(R(x,y,z),R(x,y,z) * u) = R(T(x,u * R(x,y,z)),y,z). 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,y * x) = T(x,L(x,y,x) * y). T(x,L(x,y,x) * y) = T(x,y * x). x != T(y,z * y) | x = T(y,y * z). T(x,L(x,y,x) * y) = T(x,x * y). T(x,(x \ y) * T(x,y)) = T(x,(x \ y) * x). x != T(y,(y \ z) * y) | x = T(y,z). T(x,(x \ y) * T(x,y)) = T(x,y). R(T(x,y),x \ y,T(x,y)) = T(x,x \ 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). (1 / x) * K(y,x \ 1) = K(y,x \ 1) / x. 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 * L(z,y,z) | x = L(z,y,z). x * T(y,z) != y * L(z,y,z) | L(z,y,z) = x. T(((x / y) / x) * ((x \ 1) \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. 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 * 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) \ 1)) * z = K(y,y \ 1) * ((x \ y) * z). K(x,x \ 1) * ((y \ x) * z) = (y \ ((x \ 1) \ 1)) * z. K(x,x \ 1) * y != z * (1 / x) | y = z * (x \ 1). (x \ y) * (1 / y) = (x \ ((y \ 1) \ 1)) * (y \ 1). (x \ ((y \ 1) \ 1)) * (y \ 1) = (x \ y) * (1 / y). (x \ 1) * ((y \ ((x \ 1) \ 1)) * z) = (1 / x) * ((y \ x) * z). x * ((1 / x) * ((y \ x) * z)) = L((y \ ((x \ 1) \ 1)) * z,x \ 1,x). L((x \ ((y \ 1) \ 1)) * z,y \ 1,y) = y * ((1 / y) * ((x \ y) * z)). 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). x \ T(x,R(y \ 1,y,z) \ 1) = T(x \ T(x,(z / (y * z)) \ 1),T(y,u)). T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = x \ T(x,R(z \ 1,z,y) \ 1). x != y \ T(y,R(z,u,w) \ 1) | 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 \ ((1 / y) \ x)) * T(x,y) = (1 / y) \ x. (x * T(x \ 1,y)) \ y = T(y,T(x \ 1,y)). (x * T(x \ 1,y)) \ y = T(y,T((x \ z) / z,y)). T(x,T((y \ z) / z,x)) = (y * T(y \ 1,x)) \ x. x != (y * T(y \ 1,z)) \ z | x = T(z,T(y \ 1,z)). T(x,T((y \ z) / z,x)) = T(x,T(y \ 1,x)). x != T(y,T(z,y)) | x = T(y,z). T(x,T(y \ 1,x)) = T(x,(y \ z) / z). T(x,(y \ z) / z) = T(x,y \ 1). T(x,y / (z * y)) = T(x,z \ 1). T(x,y / z) = T(x,(z / y) \ 1). T(x,(y / z) \ 1) = T(x,z / y). T(x \ T(x,(y * z) / z),T(y,u)) = R(x \ T(x,y),y,z). T(x \ T(x,y),T(y,z)) = R(x \ T(x,y),y,u). x != T(y \ T(y,z),T(z,u)) | x = y \ T(y,z). R(x \ T(x,y),y,z) = x \ T(x,y). (x \ T(x,y)) \ (((x * y) / x) * z) = y * z. (x \ T(x,y)) \ z = (T(x,y) \ x) * z. 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. 1 / (x \ T(x,y)) = T(x,y) \ x. x != (T(y,z) \ y) * u | x = T(z,y) * (z \ u). (x \ T(x,y)) \ z = T(y,x) * (y \ z). 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) / (1 / u)) \ y) * (z / u) | x = T(z,y) / u. x * (T(x,(y / z) / (1 / z)) \ (y / z)) = 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). x * ((T(x,y) \ x) \ 1) = T(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 * u) | x = (y * z) * L(u,z,y). T(x,y) * (T(y,x) * z) = (x * y) * L(z,y,x). x * y != T(z,u) * (z \ (T(u,z) * w)) | x \ (u * w) = y. T(x,y) \ (y * x) = T(T(y,x),x). T(x,y) * (x \ (T(y,x) * z)) != u * w | u \ (y * z) = w. T(x,y) * (x \ (T(y,x) * z)) != u * w | (y * z) / w = u. (T(x,y) * (x \ y)) \ (T(x,y) * z) = y \ (x * z). 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 * y != (z \ T(z,u)) \ (((z * u) / z) * w) | x \ (u * w) = y. T(x,y) \ (x * z) = x \ (((y * x) / y) * z). x \ (((y * x) / y) * z) = T(x,y) \ (x * z). (x \ T(x,x \ y)) \ y = (x \ y) * x. 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 * (T(x,y / (z \ 1)) \ y) != u | z \ T(z * y,x) = u. R(T(x,y / (1 / z)),y / (z \ 1),K(z \ 1,z)) = T(x,y / (z \ 1)). T(x \ y,x) = T(x \ y,T(x,y)). T(x \ y,T(x,y)) = T(x \ y,x). K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,y \ x). x \ (y * T(y \ x,T(y,x))) = K(y \ x,T(y,x)). T(x,y) * T(x \ y,x) = (x \ y) * T(x,y). T(x,y) * T(x \ y,x) != z | (x \ y) * T(x,y) = z. x \ (y * T(y \ x,T(y,x))) != z | K(y \ x,y) = z. T((x / y) \ x,x / y) = (y \ x) \ x. L((((x \ y) \ z) \ z) \ z,x \ y,x) = T(y \ (x * z),x \ y). 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). x != T(y,z) * T(z,y * z) | x = L(z,T(y,z),z) * T(y,z). x * L(y,x,y) = L(y,T(x,y),y) * T(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 != L(y,z,y) | x = ((y * (z * y)) / y) / z. L(x,T(y,x),x) = ((x * (y * x)) / x) / y. ((x * (y * x)) / x) / y = L(x,T(y,x),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. x * (y / T(x,y)) = T(x * (y / x),x). T(x * (y / x),x) = x * (y / T(x,y)). T(x,y) / T(y,x) = x / T(T(y,x),x). R(T(x,y) \ x,y,z) = (T(y,T(x,y)) * z) / (y * z). L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R((y * x) \ (x * y),x,z). L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R(K(x,y),x,z). L(x \ T(x,T(y,x)),T(y,x),x) = R(K(x,y),x,z). R(K(x,y),x,z) = L(x \ T(x,T(y,x)),T(y,x),x). K(x,y) = R(K(x,y),x,z). R(K(x,y),x,z) = K(x,y). R(K(x,y),x,z) != u | K(x,y) = u. K(x,y) * (x * z) = (K(x,y) * x) * z. (K(x,y) * x) * z = K(x,y) * (x * z). x * ((x \ T(x,y)) * T(z,T(x,y))) = z * (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) != z * u | z \ K(x,y) = u. x \ K(x,y) = (x \ 1) * K(x,y). (x \ 1) * K(x,y) = x \ K(x,y). K(x,y) * (x \ 1) = x \ K(x,y). x * 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. (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. R(x,T(y,x) \ y,z) = x. R(x,K(y,x) \ 1,z) = x. R(x,K(x,y),z) = x. L(x,y,z) * (K(x,u) * w) = (L(x,y,z) * K(x,u)) * w. (L(x,y,z) * K(x,u)) * w = L(x,y,z) * (K(x,u) * w). L(x,K(y,z),L(y,u,w)) = x. (K(x,y) * L(x,z,u)) * w = L(x,z,u) * (K(x,y) * w). L(x,K(y,z),y) = x. x != L((y * ((z * y) \ z)) \ u,y * ((z * y) \ z),1 / y) | x = ((z * (1 / (1 / y))) \ z) \ ((1 / y) * u). L((x * ((y * x) \ y)) \ z,x * ((y * x) \ y),x \ 1) = ((y * (1 / (1 / x))) \ y) \ ((1 / x) * z). 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). L(x,y,L((z \ 1) \ 1,u,w)) = L(x,y,L(z,u,w)). x != L(y \ z,y,u) | x = (u * y) \ (u * z). L(T(1 / x,y) \ z,T(x \ 1,y),x) = (x * T(1 / x,y)) \ (x * z). T((x \ y) \ y,z) = R(T(T(x,y),z),x \ y,x). R(T(T(x,y),z),x \ y,x) = T((x \ y) \ y,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 * T(1 / x,y)) * z = T(1 / x,y) * ((x \ 1) \ z). T(1 / x,y) * ((x \ 1) \ z) = (x * T(1 / x,y)) * z. (T(1 / x,y) * z) / ((x * T(1 / x,y)) * z) = x \ 1. (x \ 1) * y = T(1 / x,z) * ((x * T(1 / x,z)) \ y). T(1 / x,y) * ((x * T(1 / x,y)) \ z) = (x \ 1) * z. L(x,T(y \ 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 * (y \ x)) / (x / y) = (y \ x) * y. T(T(x,y),z * x) != u | T(T(x,x * z),y) = u. ((x * y) \ y) \ y = T(x * y,x \ 1). T(x * y,x \ 1) = ((x * y) \ y) \ y. T(x * y,x \ 1) != z | ((x * y) \ y) \ y = z. x / T(y * x,y \ 1) = (y * x) \ x. ((x \ y) * x) * (y / x) = y * (x \ y). (x * (y / x)) * (y / (y / x)) = y * ((y / x) \ y). K(T(x,y),T(y,x)) = K(x,y). T(x,x \ (((x * y) / x) \ y)) = T(x,x \ 1). T(x,x \ (y \ T(y,x))) = T(x,x \ 1). T(x,x \ ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)))) = T(x,x \ 1). T(x,x \ K(y,x)) = T(x,x \ 1). K(x,y) / T(y,y \ 1) = y \ K(x,y). (x \ K(y,x)) * x = K(y,x) * K(x \ 1,x). K(x,y) * K(y \ 1,y) = (y \ K(x,y)) * y. (x \ K(y,x)) * K(x,x \ 1) = K(y,x) / x. (x * y) \ T(x,y) = L(T(y,x) \ 1,y,x). L(T(x,y) \ 1,x,y) = (y * x) \ T(y,x). T(x,y) \ ((T(y,x) \ x) * y) = K(y \ T(x,y),y). (T(x,y) \ y) * x = T((x \ y) * x,x). T((x \ y) * x,x) = (T(x,y) \ y) * x. T(x,x * y) * R(x \ T(x * y,x),z,u) = T(x * R(y,z,u),x * y). (T(x,y) * ((x \ T(y,x)) * z)) \ (y * z) = a(T(x,y),T(x,y) \ y,z). (K(x \ 1,x) * y) \ z = y \ (z * K(x,x \ 1)). (x \ T(x,y \ 1)) * (y * z) = y * ((x \ T(x,y \ 1)) * z). x != (y \ T(y,z)) * u | x = T(y,z) * (y \ u). x * ((y \ T(y,x \ 1)) * z) = T(y,x \ 1) * (y \ (x * z)). T(x,y \ 1) * (x \ (y * z)) = y * ((x \ T(x,y \ 1)) * z). T(x,y \ 1) * (x \ (y * z)) = y * (T(x,y \ 1) * (x \ z)). x != T(y,z \ 1) * (y \ (z * (T(z \ 1,y) * u))) | x = L(u,T(z \ 1,y),z). 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)). 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 / (y * K(z \ 1,z)) = (x * K(z,z \ 1)) / y. (x * K(y,y \ 1)) / z = x / (z * K(y \ 1,y)). x != R(T(y,z / (1 / u)),z / (u \ 1),K(u \ 1,u)) | x = T(y,z / (u \ 1)). T(x,y / (1 / z)) = T(x,y / (z \ 1)). 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(T(y,z * K(u \ 1,u)),z,K(u \ 1,u)) | x = T(y,z). T(x,y * K(z \ 1,z)) = T(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). 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)). R(x,y,K(z,z \ 1)) = x. R(x,y,K(1 / z,z)) = x. 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 \ (y * K(z,z \ 1)) = (x \ y) * K(z,z \ 1). x \ (K(y,y \ 1) * z) = (x \ z) * K(y,y \ 1). K(L(x,y,z),L(x,y,z) \ 1) = K(x,x \ 1). L(K(x,x \ 1),y,z) = 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) != u | x * (y * K(z,z \ 1)) = u. 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). K(x,x \ 1) * (y * (K(x \ 1,x) * z)) = y * z. x \ K(y \ 1,y) = K(y \ 1,y) * (x \ 1). K(x \ 1,x) * (y \ 1) = y \ K(x \ 1,x). x \ (K(y \ 1,y) * z) = K(y \ 1,y) * (x \ z). x != y * (K(z \ 1,z) * u) | x = y * (u * K(z \ 1,z)). K(x \ 1,x) * (y * z) = y * (z * K(x \ 1,x)). (x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(K(z \ 1,z) * u,y,x). K(x,x \ 1) * (y * z) = y * (K(x,x \ 1) * z). K(x,x \ 1) * (y * (z * (x \ 1))) = y * (z * (1 / x)). K(x,x \ 1) * (y * ((1 / x) \ z)) = y * ((x \ 1) \ z). K(x,x \ 1) * (y * (z / (1 / x))) = y * (z / (x \ 1)). K(L(x,y,z) \ 1,x) = K(x \ 1,x). (x * (y * K(z \ 1,z))) * u != (x * y) * K(z \ 1,z) | 1 = u. 1 = a(x,y,K(z \ 1,z)). a(x,y,K(z \ 1,z)) = 1. (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). L(x,y * K(z \ 1,z),u) = (u * y) \ (K(z,z \ 1) * (u * (K(z \ 1,z) * (y * x)))). (x * y) \ (K(z,z \ 1) * (x * (K(z \ 1,z) * (y * u)))) = L(u,y * K(z \ 1,z),x). (x * y) \ (x * (y * z)) = L(z,y * K(u \ 1,u),x). L(x,y * K(z \ 1,z),u) = (u * y) \ (u * (y * x)). x != (y * z) \ (y * (z * u)) | 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 \ 1,z) = L(x,1 / y,z). L(x,1 / y,z) = L(x,y \ 1,z). L(x,1 / (1 / y),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,(1 / y) \ z,u) = L(x,(y \ 1) \ z,u). L(x,T(1 / y,z) \ u,w) = L(x,T(y \ 1,z) \ u,w). (x * (1 / y)) * L(z,y \ 1,x) = x * ((1 / y) * z). (x * (1 / (1 / y))) * L(z,y,x) = x * ((1 / (1 / y)) * z). x * ((1 / (1 / y)) * z) != (x * (1 / (1 / y))) * u | L(z,y,x) = u. (x * (1 / (1 / y))) * z != x * ((1 / (1 / y)) * u) | L(u,y,x) = z. x \ K(y,y \ 1) = K(y,y \ 1) * (x \ 1). K(x,x \ 1) * (y \ 1) = y \ K(x,x \ 1). x \ (K(y,y \ 1) * z) = K(y,y \ 1) * (x \ z). (x * ((K(y,y \ 1) * z) * u)) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). (x \ K(y,y \ 1)) * y = (x \ 1) * ((y \ 1) \ 1). K(x,x \ 1) * (y * (z \ 1)) = y * (z \ K(x,x \ 1)). x \ (K(y \ 1,y) * z) = (x \ z) * K(y \ 1,y). x != y \ (K(z \ 1,z) * u) | x = (y * K(z,z \ 1)) \ u. K(x \ 1,x) * (y \ z) = (y * K(x,x \ 1)) \ z. (x * K(y,y \ 1)) \ z = K(y \ 1,y) * (x \ z). x \ (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. 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 * (z * K(u,u \ 1))) = T(x,y * z). T(x,y * z) = T(x,y * (1 / (1 / z))). T(x,y * (1 / (1 / z))) = T(x,y * z). T(x,y * (1 / z)) = T(x,y * (z \ 1)). T(x,(y \ 1) \ z) = T(x,(1 / y) \ z). T(x,(1 / y) \ z) = T(x,(y \ 1) \ z). T(x,(1 / y) * z) = T(x,(y \ 1) * z). T(x,T(y,y \ 1) * z) = T(x,y * z). T(x,y \ z) = T(x,((y \ 1) \ 1) \ z). T(x,((y \ 1) \ 1) \ z) = T(x,y \ z). T(x,L(y,z,u) * (1 / y)) = T(x,y \ L(y,z,u)). L(x,K(y,y \ 1),z) = x. L(x,y * (1 / y),z) = x. x \ (y * K(z,z \ 1)) = K(z,z \ 1) * (x \ y). x != y \ (z * K(u,u \ 1)) | x = (K(u \ 1,u) * y) \ z. (x \ y) * K(z,z \ 1) = (K(z \ 1,z) * x) \ y. (K(x \ 1,x) * y) \ z = (y \ z) * K(x,x \ 1). x * (y * K(z,1 / z)) = (x * y) * K(z,1 / z). (x * y) * K(z,1 / z) = x * (y * K(z,1 / z)). x != y * K(z,1 / z) | x = K(z,1 / z) * y. x * (y * K(z,1 / z)) = K(z,1 / z) * (x * y). K(x,1 / x) * (y * z) = y * (z * K(x,1 / 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. 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). a(x,y,K(1 / z,z)) = 1. L(K(1 / x,x),y,z) = K(1 / x,x). T(x,T(y,y \ x)) = T(x,y). (x * (x * y)) / (y * x) = T(x,y). (((x \ y) * x) / T(x,y)) * x = T((x \ y) * x,x). (x * R(y,z,u)) / R(T(y,x),z,u) = T(x,R(y,z,u)). T(x,y) * T(T(y,x),x * y) = (T(y,x) * (x * y)) / T(y,x). (T(x,y) * (y * x)) / T(x,y) = T(y,x) * T(T(x,y),y * x). T(x,y) * (x \ T(x * (y / x),x)) = x * (y / x). T(x * y,T(x,y)) = T(x * y,x). (K(x \ y,y \ x) * z) * u = K(x \ y,y \ x) * (z * u). T(x,x \ y) * (x \ y) = x * (y / x). T(x / y,y) * y = (x / y) * (x / (x / y)). T(T(x,y) * L(x \ y,z,u),x) = T(T(x,y),x) * L(T(T(x,y),x) \ y,z,u). T(T(x,y),x) * L(T(T(x,y),x) \ y,z,u) = T(T(x,y) * L(x \ y,z,u),x). T(x,T(y,x * y)) = T(x,y). T(x,T(x \ y,y)) = T(x,x \ y). T(x,T(y,y * x)) = T(x,y). T(x,x * y) * R(T(y,x),z,u) = R(y,z,u) * T(x,x * y). T(x,x * y) * L(T(y,x),z,u) != w | L(y,z,u) * T(x,x * y) = w. ((x * y) / x) * z != T(x,y) | T(x / y,(x * y) / x) = z. T(x / y,(x * y) / x) = y \ x. T(x \ T(x,y),y * x) = K(x,y). ((x * y) * y) / (x * y) != z | z = x \ T(x * y,y). ((x * y) * y) / (x * y) != z | x \ T(x * y,y) = z. T(x,T(y,x)) != z | T(x,y) = z. (x * (y / x)) / x = y / (y / (y / x)). R(x / y,x / (x / y),x / y) = T((x * (x / y)) / x,y). x * (T(x,(y / z) / (z \ 1)) \ (y / z)) = T(y,x) / z. x \ T(x * (y / x),z) = T(y,z) / x. x * (T(y,z) / x) = T(x * (y / x),z). x \ T(x * y,z) = T(y * x,z) / x. T(x * y,z) / y = y \ T(y * x,z). (x \ T(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(T(x,y) * y,z) = T(x * y,z) / x. (x \ T(y,z)) * x = T((x \ y) * x,z). T(x \ T(y,z),x) = x \ T((x \ y) * x,z). x \ T((x \ y) * x,z) = T(x \ T(y,z),x). (x \ T(x * y,z)) * x = T(y * x,z). (x \ (y \ z)) * x = T((x \ (z / y)) * x,y). T((x \ (y / z)) * x,z) = (x \ (z \ y)) * x. x * ((y \ T(z,x)) * y) = ((y \ z) * y) * x. T((x \ y) * x,z) / x != u | u = x \ T(y,z). T((x \ y) * x,z) / x != u | x \ T(y,z) = u. T((x \ y) * x,z) \ T(y,z) = K(x,x \ T(y,z)). (x \ y) * x = T((x \ y) * x,y). T((x \ y) * x,y) = (x \ y) * x. x * ((y \ (x \ z)) * y) = ((y \ (z / x)) * y) * x. ((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x). (x * ((y \ (x \ z)) * y)) / x = (y \ (z / x)) * y. ((x \ y) * x) * (y \ z) = (y \ z) * ((x \ ((y \ z) \ z)) * x). (x \ y) * ((z \ ((x \ y) \ y)) * z) = ((z \ x) * z) * (x \ y). ((x \ R(1 / y,y,z)) * x) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). 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. ((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(y * x,z) / x) = T(x * y,z). T(x \ T(x * y,z),x) = x \ T(y * x,z). (x \ 1) \ T((x \ 1) * y,z) != u | x * T(x \ y,z) = u. x * (y \ T(y * (x \ z),x)) = ((x \ (z * y)) * x) / y. (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 * (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. (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = ((y \ (z * x)) * y) / x. x / (K(y \ 1,y) * z) = K(y,y \ 1) * (x / z). x / (y * (z * K(u \ 1,u))) = K(u,u \ 1) * (x / (y * z)). x * y != (z * (u * K(w \ 1,w))) * v5 | (K(w \ 1,w) * ((z * u) * v5)) / y = x. (K(x \ 1,x) * ((y * z) * u)) / ((z * K(x \ 1,x)) * u) = R(y,z * K(x \ 1,x),u). (K(x \ 1,x) * ((y * z) * u)) / (K(x \ 1,x) * (z * u)) = R(y,z * K(x \ 1,x),u). x != 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,z) = R(x,(y \ 1) \ 1,z). R(x,(y \ 1) \ 1,z) = R(x,y,z). R(x,y \ 1,z) = R(x,1 / y,z). R(x,1 / y,z) = R(x,y \ 1,z). R(x,y,z) * (((y \ 1) \ 1) * z) = (x * ((y \ 1) \ 1)) * z. (x * ((y \ 1) \ 1)) * z != u * (((y \ 1) \ 1) * z) | R(x,y,z) = u. x \ (y * (K(z,z \ 1) * u)) = (x \ (y * u)) * K(z,z \ 1). R(x,y,z) * (y * ((z \ 1) \ 1)) = (x * y) * ((z \ 1) \ 1). R(x,y,z) = R(x,y,1 / (1 / z)). R(x,y,1 / (1 / z)) = R(x,y,z). R(x,y,T((z \ 1) \ 1,u)) = R(x,y,T(z,u)). (x * y) * ((z \ 1) \ 1) != u * (y * ((z \ 1) \ 1)) | R(x,y,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))) \ (K(y,y \ 1) * ((x * z) * u)) = a(x,K(y,y \ 1) * z,u). x != y \ (K(z,z \ 1) * u) | x = (y \ u) * K(z,z \ 1). a(x,K(y,y \ 1) * z,u) = ((x * (K(y,y \ 1) * (z * u))) \ ((x * z) * u)) * K(y,y \ 1). ((x * (K(y,y \ 1) * (z * u))) \ ((x * z) * u)) * K(y,y \ 1) = a(x,K(y,y \ 1) * z,u). (K(x,x \ 1) * y) \ z = K(x \ 1,x) * (y \ z). (x * (1 / y)) \ z = K(y \ 1,y) * ((x * (y \ 1)) \ z). K(x \ 1,x) * ((y * (x \ 1)) \ z) = (y * (1 / x)) \ z. (K(x,x \ 1) * y) \ z = (y \ z) * K(x \ 1,x). ((x \ 1) \ y) \ z = (((1 / x) \ y) \ z) * K(x \ 1,x). (((1 / x) \ y) \ z) * K(x \ 1,x) = ((x \ 1) \ y) \ z. (x * (K(y,y \ 1) * z)) \ u = ((x * z) \ u) * K(y \ 1,y). (x \ K(y,y \ 1)) \ z = ((x \ 1) \ z) * K(y \ 1,y). ((x \ 1) \ y) * K(z \ 1,z) = (x \ K(z,z \ 1)) \ y. (((x * (y * z)) \ ((x * y) * z)) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z). (a(x,y,z) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z). a(x,K(y,y \ 1) * z,u) != w | w = a(x,z,u). a(x,K(y,y \ 1) * z,u) != w | a(x,z,u) = w. a(x,(y \ 1) \ 1,z) != u | a(x,y,z) = u. a(x,y * K(z,z \ 1),u) != w | a(x,y,u) = w. K(x,x \ 1) * (((x \ 1) \ y) \ z) = ((1 / x) \ y) \ z. x != T(y,z) / (z \ y) | x = (y * z) / y. (x \ y) \ T((x \ y) * x,x) = (y * x) / y. x * ((y \ z) / x) = T(x * ((z / y) / x),y). T(x * ((y / z) / x),z) = x * ((z \ y) / x). x * (y / x) = T(x * (y / x),y). T(x * (y / x),y) = x * (y / x). x * (y / x) = T(x * (y / x),K(y,z)). T(x * (y / x),K(y,z)) = x * (y / x). x * (y * ((x \ z) / y)) = (y * ((z / x) / y)) * x. (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)). ((x * ((y / z) / 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 * z) / y) / x)) * y = y * (x * (z / x)). (x * ((y / (y * z)) / x)) * (y * z) = (y * z) * (x * (L(z \ 1,z,y) / x)). (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = (x * (u * ((x \ y) / u))) * (y \ z). (x * y) * (z * (((x * ((u / y) \ u)) \ u) / z)) = (x * (z * ((x \ (u / y)) / z))) * ((u / y) \ u). (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * ((z / u) \ z)) \ z) / y)). (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * u) \ z) / y)). (x * (y * ((x \ (z / u)) / y))) * u = (x * u) * (y * (((x * u) \ z) / y)). x \ (y \ 1) = (x \ (1 / y)) * K(y \ 1,y). (x \ (1 / y)) * K(y \ 1,y) = x \ (y \ 1). x \ (y * (K(z \ 1,z) * u)) = (x \ (y * u)) * K(z \ 1,z). (x \ (1 / R(y,z,u))) * K(y \ 1,y) = x \ (R(y,z,u) \ 1). a(x,y,z * K(u \ 1,u)) = ((x * (y * (z * K(u \ 1,u)))) \ ((x * y) * z)) * K(u \ 1,u). ((x * (y * (z * K(u \ 1,u)))) \ ((x * y) * z)) * K(u \ 1,u) = a(x,y,z * K(u \ 1,u)). (x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(u,y,x) * K(z \ 1,z). x != (y * z) \ (y * (K(u \ 1,u) * (z * w))) | x = L(K(u \ 1,u) * w,z,y). L(x,y,z) * K(u \ 1,u) = L(K(u \ 1,u) * x,y,z). K(x \ 1,x) * L(y,z,u) = L(K(x \ 1,x) * y,z,u). L(x,y,z) * K(u \ 1,u) = L(x * K(u \ 1,u),y,z). K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = L(y,z,u). L(x,y,z) * K(u,u \ 1) = L(x * K(u,u \ 1),y,z). K(x,x \ 1) * L(y,z,u) = L(y * K(x,x \ 1),z,u). 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). x * y != K(z \ 1,z) * L(u * K(z,z \ 1),w,v5) | L(u,w,v5) / y = x. L(x,y,z) / u = u \ L(u * (x / u),y,z). x \ L(x * (y / x),z,u) = L(y,z,u) / x. (x \ L(x * y,z,u)) * x = L(y * x,z,u). x * (L(y,z,u) / x) = L(x * (y / x),z,u). (x \ L(y,z,u)) * x = L((x \ y) * x,z,u). (x * y) * ((z \ L(u,y,x)) * z) = x * (y * ((z \ u) * z)). (x \ (y * z)) * x = L((x \ ((y \ 1) \ z)) * x,y \ 1,y). L((x \ ((y \ 1) \ z)) * x,y \ 1,y) = (x \ (y * z)) * x. (x \ (y \ (z * u))) * x = L((x \ ((z \ y) \ u)) * x,z \ y,z). L((x \ ((y \ z) \ u)) * x,y \ z,y) = (x \ (z \ (y * u))) * x. (x * y) * ((z \ ((x * y) \ u)) * z) = x * (y * ((z \ (y \ (x \ u))) * z)). x * y != L((z \ ((u \ 1) \ w)) * z,u \ 1,u) | x \ ((z \ (u * w)) * z) = y. x \ ((y \ (x * z)) * y) = (x \ 1) * ((y \ ((x \ 1) \ z)) * y). (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = x \ ((y \ (x * z)) * y). 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. K(x,x \ 1) * L(x,y,z) = L(T(x,x \ 1),y,z). x \ L(y * K(z,z \ 1),u,w) = (x \ L(y,u,w)) * K(z,z \ 1). x != K(y,y \ 1) * L(y,z,u) | x = y * (L(y,z,u) * (1 / y)). L(T(x,x \ 1),y,z) = x * (L(x,y,z) * (1 / x)). x * (L(x,y,z) * (1 / x)) = L(T(x,x \ 1),y,z). x * (L(x,y,z) * (1 / x)) = L((x \ 1) \ 1,y,z). x \ L((x \ 1) \ 1,y,z) = L(x,y,z) * (1 / x). x != 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). (x \ L(x,y,z)) * x = L(x,y,z). T(x \ L(x,y,z),x) = x \ L(x,y,z). L(x,y,z) / x = x \ L(x,y,z). (x \ L(x,y,z)) \ L(x,y,z) = x. (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. L(x,y,z) * K(u \ w,w \ u) = L(x * K(u \ w,(u \ w) \ 1),y,z). L(x * K(y \ z,(y \ z) \ 1),u,w) = L(x,u,w) * K(y \ z,z \ y). L(x \ 1,y,z) * K(x,x \ 1) = L(1 / x,y,z). (x \ L(x,y,z)) * T(x,u) = T(x,u) * (x \ L(x,y,z)). T(x,y) * (x \ L(x,z,u)) = (x \ L(x,z,u)) * T(x,y). x * y != T(z,u) * (z \ L(z,w,v5)) | x \ ((z \ L(z,w,v5)) * T(z,u)) = y. x \ ((x \ L(x,y,z)) * T(x,u)) = T(x,u) * (x \ (x \ L(x,y,z))). (x \ L(x,y,z)) * T(x,u) != T(x,u) * w | x \ L(x,y,z) = w. T(x,y) * z != (x \ L(x,u,w)) * T(x,y) | x \ L(x,u,w) = z. x * K(y \ 1,y) != (1 / y) \ z | x = (y \ 1) \ z. (1 / x) \ (1 / R(x,y,z)) = (x \ 1) \ (R(x,y,z) \ 1). 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. T(K(x,y),z * (x / z)) = K(x,y). T(K(x * y,z),y * x) = K(x * y,z). (x * y) * K(y * x,z) != u | K(y * x,z) * (x * y) = u. T(x,y * (z * (1 / u))) = T(x,y * (z * (u \ 1))). T(x,(y \ 1) \ K(z,y)) = T(x,y * K(z,y)). L(x,L(y \ 1,z,u),w) = L(x,L(1 / y,z,u),w). L(x,L(1 / y,z,u),w) = L(x,L(y \ 1,z,u),w). a(x,y,K(z,z \ 1) * u) = ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1). ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,K(z,z \ 1) * u). R(1 / (1 / (1 / x)),x,y) = (x * (y / (x * y))) / x. 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(x,y,z) \ x) * K(x \ 1,x) = (L(x,y,z) \ 1) * x. (L(x,y,z) \ 1) * T(x,x \ 1) = L(x,y,z) \ x. (L(x \ 1,y,z) \ (x \ 1)) * K(x,x \ 1) = (L(x \ 1,y,z) \ 1) * (x \ 1). ((L(x,y,z) \ 1) * x) * (1 / x) = (L(x,y,z) \ x) * (x \ 1). (L(x,y,z) \ 1) * u != L(x,y,z) \ x | T(x,L(x,y,z) \ 1) = u. T(x,L(x,y,z) \ 1) = T(x,x \ 1). x != T((y * (z / u)) / y,u) | x = (y * (u \ z)) / y. R(x / y,x / (x / y),x / y) = (x * (y \ x)) / x. R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * ((x / y) \ x)) / x. R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * y) / x. T(x * y,z) \ T(y * x,z) != u | K(x \ T(x * y,z),x) = u. T(x,T(y * x,z)) = T(x,T(x * y,z)). R(T(x,x * y),y,T(x,x * y)) = T(x,y). T(x,x \ (y \ x)) \ (y \ T(x,y \ 1)) = x \ (y \ x). x != T(y,z) * (y \ u) | x = (y \ T(y,z)) * u. x * (y / x) = (x \ T(x,x \ y)) * y. (x \ T(x,x \ y)) * 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) \ 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) \ T(x,x \ y) = x * (y / x). (x * ((y * z) * K(u \ 1,u))) \ (K(u \ 1,u) * ((x * y) * z)) = L(a(x,y,z),x * (y * z),K(u \ 1,u)). (x * (y * (z * K(u \ 1,u)))) \ (K(u \ 1,u) * ((x * y) * z)) = L(a(x,y,z),x * (y * z),K(u \ 1,u)). x != y \ (K(z \ 1,z) * u) | 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 != ((y * (z * (u * K(w \ 1,w)))) \ ((y * z) * u)) * K(w \ 1,w) | x = a(y,z,u * K(w \ 1,w)). 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) = a(x,y,(z \ 1) \ 1). a(x,y,(z \ 1) \ 1) = a(x,y,z). a(x,y,z \ 1) = a(x,y,1 / z). a(x,y,1 / z) = a(x,y,z \ 1). a(x,y,z) = a(x,y,K(u,u \ 1) * z). a(x,y,K(z,z \ 1) * u) = a(x,y,u). a(x,y,(1 / z) \ u) = a(x,y,(z \ 1) \ u). x != a(y,z,K(u,u \ 1) * w) | x = ((y * (z * (K(u,u \ 1) * w))) \ ((y * z) * w)) * K(u,u \ 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). a(x,y,z * (u * (1 / w))) = a(x,y,z * (u * (w \ 1))). ((x * (y * (z * K(u,u \ 1)))) \ ((x * y) * z)) * K(u,u \ 1) = a(x,y,z). x != y * T(T(z,u),w) | x = y * T(T(z,w),u). T(x,y) * T(z,x) = T(z,x) * T(T(x,y),z). T(x,y) * T(T(y,z),x) = T(y,z) * T(x,y). (x / T(x,y)) * (T(y,z) * T(x,y)) = L(T(y,z),T(x,y),x / T(x,y)) * x. L(T(x,y),T(z,x),z / T(z,x)) * z = (z / T(z,x)) * (T(x,y) * T(z,x)). L(x,y,K(y,z)) = x. 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). K(x,x \ 1) * T(y,z) = T(K(x,x \ 1) * y,z). K(T(x,y),z) = K(T(K(z,z \ 1) * x,y),z). K(T(K(x,x \ 1) * y,z),x) = K(T(y,z),x). K(x,x \ 1) * T(y,z) = T(y * K(x,x \ 1),z). ((1 / x) \ y) / y = R(1 / (1 / x),x \ 1,(1 / x) \ y). R(1 / (1 / x),x \ 1,(1 / x) \ y) = ((1 / x) \ y) / y. 1 / R(T(x,(1 / x) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. 1 / R(T(x,(x \ 1) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. T(x,y * (((y \ z) \ 1) \ 1)) = T(x,z). T(x,(K(y,y \ 1) * z) \ u) = T(x,z \ u). T(x,((y \ 1) \ z) \ u) = T(x,((1 / y) \ z) \ u). T(x,((1 / y) \ z) \ u) = T(x,((y \ 1) \ z) \ u). T(x,y \ (z \ 1)) = T(x,y \ (1 / z)). T(x,y \ (1 / z)) = T(x,y \ (z \ 1)). (x \ (1 / y)) * T(z,x \ (y \ 1)) = z * (x \ (1 / y)). (1 / x) / T(y,y \ (x \ 1)) = y \ (1 / x). x * (((y * x) / (x * y)) \ 1) = T(x,y). (x * K(y,y \ 1)) / (z * ((y \ 1) \ 1)) = x / (z * y). x / (y * ((x \ 1) \ 1)) = (1 / (1 / x)) / (y * x). (1 / (1 / x)) / (y * x) = x / (y * ((x \ 1) \ 1)). x * y != R((z \ (u / w)) * z,w,w \ 1) | ((z \ (u * (w \ 1))) * z) / y = x. ((x \ (y * (z \ 1))) * x) / (z \ 1) = ((x \ (y / z)) * x) * z. x != ((y \ (z / u)) * y) * u | x = u * ((y \ (u \ z)) * y). ((x \ (y * (z \ 1))) * x) / (z \ 1) = z * ((x \ (z \ y)) * x). (x / (y * x)) \ T(x,x \ (y * x)) = x * y. ((x / y) * ((x * (y / x)) / T(x,x \ y))) * ((x / y) \ 1) = R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)). L(1 / x,y,z) \ (1 / x) = L(x \ 1,y,z) \ (x \ 1). L(1 / (x \ y),x \ y,x) \ (1 / (x \ y)) = (y \ (x * 1)) \ ((x \ y) \ 1). x / L(L(y \ 1,z,u) \ (y \ 1),L(1 / y,z,u),x / (1 / y)) = (x / (1 / y)) * L(1 / y,z,u). x != T(y \ z,y) | x = T(y,y \ z) \ z. R(x,y,x) = T(y,y \ T(y * x,x)) \ T(y * x,x). T(x,x \ T(x * y,y)) \ T(x * y,y) = R(y,x,y). 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 != (((y \ 1) \ 1) \ z) * ((y \ 1) \ 1) | x = (y \ z) * y. ((x \ 1) * y) * (y / ((x \ 1) * y)) = (x \ y) * x. ((x \ 1) * y) * R(x,x \ 1,y) = (x \ y) * x. x * y != ((z \ 1) * u) * R(z,z \ 1,u) | ((z \ u) * z) / y = x. ((x \ y) * x) / y = ((((x \ 1) * y) * x) / ((x \ 1) * y)) * (x \ 1). ((((x \ 1) * y) * x) / ((x \ 1) * y)) * (x \ 1) = ((x \ y) * x) / y. ((x / 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. L(x,y,y \ 1) \ ((1 / y) * (x * y)) != z | L(K(x,y),y * x,y \ 1) = 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 != ((((y \ 1) * z) * y) / ((y \ 1) * z)) * (y \ 1) | x = ((y \ z) * y) / z. ((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 != L(K(y,z),z * y,z \ 1) | x = T(z,(z \ 1) * (y * z)) \ z. (x * y) / (y * x) = T(y,(y \ 1) * (x * y)) \ y. T(x,(x \ 1) * (y * x)) \ x = (y * x) / (x * y). x * (((y * x) / (x * y)) \ 1) = T(x,(x \ 1) * (y * x)). x != y * (((z * y) / (y * z)) \ 1) | x = T(y,z). T(x,(x \ 1) * (y * x)) = T(x,y). T(x,T((x \ 1) * y,x)) = T(x,x \ y). 1 / R(T(x,y),x \ 1,y * x) = (((1 / x) * (y * x)) \ (y * x)) \ 1. (((1 / x) * (y * x)) \ (y * x)) \ 1 = 1 / R(T(x,y),x \ 1,y * x). L(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). x != L(R(y,z,y),z,y) | x = y. T(x \ T(x * y,y),T(x * y,y)) = y. T(x,y) = T(x,x \ T(x * y,y)). T(x,x \ T(x * y,y)) = T(x,y). T(x,y) \ T(x * y,y) = R(y,x,y). (x \ (y * x)) \ T(y * x,x) = R(x,y,x). 1 * x = L(x,y,K(y,z)). L(x,y,K(y,z)) = 1 * x. L(x,y / z,(z * (y / z)) \ y) = x. x != y | x = L(y,K(z,u),z). L(x,y / z,(z * (y / z)) \ y) = L(x,K(u,w),u). L(x,K(y,z),y) = L(x,u / w,(w * (u / w)) \ u). L(x,y,K(y,z)) != u | u = x. R(T(T(x,y),(x \ z) * x),x \ z,x) = T((x \ z) \ z,y). ((x \ y) * x) * T((x \ y) \ y,z) = (T(x,z) * (x \ y)) * x. ((x \ y) * x) * T(T(x,x \ y),z) = (T(x,z) * (x \ y)) * x. (x * y) * T(T(y,y \ (y * x)),z) = (T(y,z) * (y \ (y * x))) * y. (x * y) * T(T(y,x),z) = (T(y,z) * (y \ (y * x))) * y. (T(x,y) * (x \ (x * z))) * x = (z * x) * T(T(x,z),y). (T(x,y) * z) * x = (z * x) * T(T(x,z),y). (x * y) * T(T(y,x),z) = (T(y,z) * x) * y. (T(x,y) * z) * x = (z * x) * T(T(x,y),z). (x * y) * T(T(y,z),x) = (T(y,z) * x) * y. R(T(T(x,y),z * x),z,x) = T(T(x,y),z). K(x,x \ 1) / y != z | (1 / y) * K(x,x \ 1) = z. x * y != T(z * u,z \ 1) | x \ (((z * u) \ u) \ u) = y. ((x \ 1) \ 1) \ (((x * y) \ y) \ y) = ((x \ 1) \ (((x \ 1) \ 1) \ (x * y))) * (x \ 1). T(x,(1 / y) * K(z,y \ 1)) = T(x,y \ K(z,y \ 1)). T(x,y \ 1) \ (y \ T(x,y \ 1)) = x \ (y \ x). T(L(x,y,y \ 1),(1 / y) \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). T(L(x,y,y \ 1),y) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). L(T(x,y),y,y \ 1) \ ((1 / y) \ T(L(x,y,y \ 1),(1 / y) \ 1)) = L(x,y,y \ 1) \ (y * x). ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),(1 / x) \ 1)) = L(y,x,x \ 1) \ (x * y). ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),x)) = L(y,x,x \ 1) \ (x * y). ((1 / x) * (y * x)) \ ((1 / x) \ L(T(y,x),x,x \ 1)) = L(y,x,x \ 1) \ (x * y). ((1 / x) * (y * x)) \ ((1 / x) \ ((1 / x) * (y * x))) = L(y,x,x \ 1) \ (x * y). ((1 / x) * (y * x)) \ (y * x) = L(y,x,x \ 1) \ (x * y). (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). x != T(y * z,(y \ 1) \ z) | x = y * z. T((x \ 1) * y,x \ y) = (x \ 1) * y. T(x,R(y \ 1,y,z) \ u) = T(x,(z / (y * z)) \ u). R(x,y,z) * K(u,u \ 1) = R(K(u,u \ 1) * x,y,z). T(x,R(K(y,y \ 1) * (1 / z),u,w)) = T(x,R(z \ 1,u,w)). T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ 1,u,w)). 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,1 / y)) / z = K(y,1 / y) * (x / z). 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 * 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. L(T(x,y),z,u) \ (y * L(x,z,u)) = T(T(y,L(x,z,u)),L(x,z,u)). L(T(x,y),z,u) \ (y * L(x,z,u)) != w | T(T(y,L(x,z,u)),L(x,z,u)) = w. 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). T(x,(y \ z) \ u) = T(x,(((y \ 1) \ 1) \ z) \ u). T(x,(((y \ 1) \ 1) \ z) \ u) = T(x,(y \ z) \ u). T(x,(y * (1 / z)) \ u) = T(x,(y * (z \ 1)) \ u). (x * y) \ (x * ((y * z) * K(1 / u,u))) = L(z,y,x) * K(1 / u,u). (x * y) \ (x * (y * (z * K(1 / u,u)))) = L(z,y,x) * K(1 / u,u). L(x * K(1 / y,y),z,u) = L(x,z,u) * K(1 / y,y). L(x,y,z) * K(1 / u,u) = L(x * K(1 / u,u),y,z). (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 != T(y,z / (u * z)) | x = T(y,R(u \ 1,u,z)). T(x,y \ 1) = T(x,R(y \ 1,y,z)). T(x,R(y \ 1,y,z)) = T(x,y \ 1). (x / (y * x)) * T(z,y \ 1) = z * (x / (y * x)). L(x,y \ z,y) = L(x,y \ z,T(y,z)). L(x,y \ z,T(y,z)) = L(x,y \ z,y). T(x * (y / x),x) = x \ (y * ((x \ y) \ y)). x != T(y * (z / y),y) | x = y * (z / T(y,z)). x \ (y * ((x \ y) \ y)) = x * (y / T(x,y)). (K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (y * (z * u))) = L(u,z,y * K(x \ 1,x)). L(L(x,y,z),z * y,K(u \ 1,u)) = L(x,y,z * K(u \ 1,u)). L(x,y,z * K(u \ 1,u)) = L(x,y,z). L(x,y,K(z \ 1,z) * u) = L(x,y,u). L(x,y,z * (u \ 1)) = L(x,y,z * (1 / u)). L(x,y,z * (1 / u)) = L(x,y,z * (u \ 1)). L(x,y,z / (1 / u)) = L(x,y,z / (u \ 1)). L(x,y,z) = L(x,y,K(u,u \ 1) * z). L(x,y,K(z,z \ 1) * u) = L(x,y,u). L(x,y,z * u) = L(x,y,((z \ 1) \ 1) * u). L(x,y,((z \ 1) \ 1) * u) = L(x,y,z * u). (x * K(y \ z,z \ y)) * u = K(y \ z,z \ y) * (x * u). (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. x != K(T(y,z) \ 1,T(y,u)) | 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). K(x / y,(x / y) \ 1) = K(y \ x,x \ y). ((x * ((y * x) \ y)) \ 1) * T(((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)),z) = T(x,z) / (x * ((y * x) \ y)). 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 != 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. (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) * 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 \ ((y * (1 / x)) \ z) = T(x,x \ 1) \ ((y * (x \ 1)) \ z). T(x,x \ 1) \ ((y * (x \ 1)) \ z) = x \ ((y * (1 / x)) \ z). ((x \ 1) \ y) / T(y,x) = y \ ((x \ 1) \ y). R(1 / x,y,z) \ u = K(x \ 1,x) * (R(x \ 1,y,z) \ u). K(x \ 1,x) * (R(x \ 1,y,z) \ u) = R(1 / x,y,z) \ u. (x * R(x * K(y,x),z,u)) / R(x * K(y,x),z,u) = T(x,R(x * K(y,x),z,u)). x = T(x,R(x * K(y,x),z,u)). T(x,R(x * K(y,x),z,u)) = x. 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)). (x * y) * L(z * ((y \ 1) / z),y,x) = (x * y) * (z * (((x * y) \ x) / z)). x * (y * (z * ((y \ 1) / z))) = (x * y) * (z * (((x * y) \ x) / z)). (x * y) * (z * (((x * y) \ x) / z)) = x * (y * (z * ((y \ 1) / z))). T((x \ 1) * y,x) != z | (((x \ 1) * y) \ y) \ y = z. K(x \ 1,x) * (x \ y) != z | z = ((x \ 1) \ 1) \ y. K(x \ 1,x) * (x \ y) != z | ((x \ 1) \ 1) \ y = z. a(x,y,z) = a(x,(y \ 1) \ 1,z). a(x,(y \ 1) \ 1,z) = a(x,y,z). K(T((1 / x) * y,z),x) = K(T((x \ 1) * y,z),x). K(x \ ((1 / x) \ y),x) = K(x \ ((x \ 1) \ y),x). 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). ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((1 / x) \ y) / y). x != K(y,((1 / z) \ u) / u) | x = K(y,((z \ 1) \ u) / u). ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((x \ 1) \ y) / y). x * (K(y,x) / x) = K(y,x) * K(x,x \ 1). K(x,y) * K(y,y \ 1) = y * (K(x,y) / y). x * (x * (K(y,x) / x)) = (x \ 1) \ K(y,x). (x \ 1) * (L(x,y,z) * (1 / x)) = (1 / x) * ((1 / x) * L(x,y,z)). (1 / x) * ((1 / x) * L(x,y,z)) = (x \ 1) * (L(x,y,z) * (1 / x)). K(x,y \ 1) = K(x,T(y \ 1,L(y,z,u))). K(x,T(y \ 1,L(y,z,u))) = K(x,y \ 1). x != 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 != R(y,1 / z,u) | x = R(y,z \ 1,u). R(x,1 / y,1 / (1 / z)) = R(x,y \ 1,z). ((x * (y / x)) / T(x,y)) * x != z | T(x * (y / x),x) = z. x != T(y,y \ 1) | x = K(y,y \ 1) * y. T(x,L(x,y,z) \ 1) = K(x,x \ 1) * x. T(x,R(y \ 1,y,x)) != z | T(x,y \ 1) = z. x \ R(x,y \ 1,y) != z | z = a(x,y \ 1,y). x \ R(x,y \ 1,y) != z | a(x,y \ 1,y) = z. x * K(x,(y \ x) / x) = T(x,T(y,y \ x) \ 1). T(x,T(y,y \ x) \ 1) = x * K(x,(y \ x) / x). T(x,y) / (1 / y) = x * ((x / (1 / y)) / x). T(x,(y \ x) \ 1) / (y \ x) = x * (y / x). T(T(x,x * y) * y,x) = x * y. T(T(x,y) * (y / x),x) = x * (y / 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)). (x / T(y,x)) * T(y,y \ T(x,y)) = y * (T(x,y) / y). x * y != (z * (u / z)) * z | (u * T(z,z \ u)) / y = x. (x * T(y,y \ x)) / T(y,z) = ((y * (x / y)) / T(y,z)) * y. T(T(x,y),x * z) != u | T(T(x,y),z * x) = u. 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 \ (T(x,y / x) / (1 / (x \ y))) = (x / (1 / (x \ y))) / x. x * y != z * (z * (K(u,z) / z)) | x \ ((z \ 1) \ K(u,z)) = y. T(x,y) \ ((x \ 1) \ K(z,x)) = x * (T(x,y) \ (x * (K(z,x) / x))). x * (T(x,y) \ (x * (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). x * (x * (T(x,y) \ (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). R(x,1 / y,(1 / y) \ 1) = R(x,y \ 1,y). x != L(1 / (y \ z),y \ z,y) \ (1 / (y \ z)) | x = (1 / (y \ z)) * (1 / (z \ y)). (x \ (y * 1)) \ ((y \ x) \ 1) = (1 / (y \ x)) * (1 / (x \ y)). (x \ y) \ ((y \ x) \ 1) = (1 / (y \ x)) * (1 / (x \ y)). (1 / (x \ y)) * (1 / (y \ x)) = (y \ x) \ ((x \ y) \ 1). T(x \ ((y * (1 / x)) \ y),x) = x \ L(x,x \ 1,y). L(x * K(y \ z,z \ y),u,w) = L(x,u,w) * K(y \ z,z \ y). L(x,y,z) * K(u \ w,w \ u) = L(x * K(u \ w,w \ u),y,z). x \ L(T(x,y),z,u) = L(T(x,y),z,u) / x. L(T(x,y),z,u) / x = x \ L(T(x,y),z,u). T(x,L(x,y,z) \ 1) != u | T(x,x \ 1) = u. x != T(y,y \ 1) \ ((z * (y \ 1)) \ z) | x = (y \ 1) * ((z * (y \ 1)) \ z). x \ ((y * (1 / x)) \ y) = (x \ 1) * ((y * (x \ 1)) \ y). (x \ 1) * ((y * (x \ 1)) \ y) = x \ ((y * (1 / x)) \ y). (x \ 1) * (((y / (1 / x)) * (x \ 1)) \ (y / (1 / x))) = x \ (y \ (y / (1 / x))). (x \ 1) * ((y * K(x \ 1,x)) \ (y / (1 / x))) = x \ (y \ (y / (1 / x))). R((x \ (1 / y)) * x,y,z) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). (((x \ (1 / y)) * x) * y) * z = (y * z) * ((x \ ((y * z) \ z)) * x). (x * y) * ((z \ ((x * y) \ y)) * z) = (((z \ (1 / x)) * z) * x) * y. ((x \ K(y,y \ 1)) \ z) * K(y,y \ 1) = (x \ 1) \ z. (1 / x) * (R(1 / x,y,z) \ u) = (x \ 1) * (R(x \ 1,y,z) \ u). (1 / x) * ((y / (x * y)) \ z) = (x \ 1) * (R(x \ 1,x,y) \ z). (x \ 1) * (R(x \ 1,x,y) \ z) = (1 / x) * ((y / (x * y)) \ z). T(((x \ 1) * (y / R(x \ 1,x,z))) / (x \ 1),R(x \ 1,x,z)) = ((1 / x) * ((z / (x * z)) \ y)) / (x \ 1). x != T(y,R(z \ 1,z,u)) | x = T(y,z \ 1). ((1 / x) * ((y / (x * y)) \ z)) / (x \ 1) = T(((x \ 1) * (z / R(x \ 1,x,y))) / (x \ 1),x \ 1). T(((x \ 1) * (y / R(x \ 1,x,z))) / (x \ 1),x \ 1) = ((1 / x) * ((z / (x * z)) \ y)) / (x \ 1). ((1 / x) * ((y / (x * y)) \ z)) / (x \ 1) = z / R(x \ 1,x,y). x \ T(y,y \ 1) = K(y,y \ 1) * (x \ y). K(x,x \ 1) * (y \ x) = y \ T(x,x \ 1). x \ (y * (z \ K(u,u \ 1))) = K(u,u \ 1) * (x \ (y * (z \ 1))). K(x,x \ 1) * (y \ (z * (u \ 1))) = y \ (z * (u \ K(x,x \ 1))). x \ (y / z) = K(z,z \ 1) * (x \ (y / ((z \ 1) \ 1))). K(x,x \ 1) * (y \ (z / ((x \ 1) \ 1))) = y \ (z / x). K(x \ 1,x) * (y / (z * (u * K(x \ 1,x)))) = y / (z * u). K(x \ 1,x) * (y / z) = y / (K(x,x \ 1) * z). x / (K(y,y \ 1) * z) = K(y \ 1,y) * (x / z). K((x \ 1) * y,x \ y) = 1. T(x,K(y,z \ 1) / z) = T(x,z \ K(y,z \ 1)). R(x,T(y,z) \ 1,T(y,z)) / T((y \ 1) \ 1,z) = x * (T(y,z) \ 1). T(x,(x \ 1) * y) = T(x,x \ y). x != T(y,(z \ 1) * u) | x = T(y,(1 / z) * u). T(x,x \ y) = T(x,(1 / x) * y). T(x,(1 / x) * y) = T(x,x \ y). x / T(y,(1 / y) * x) = y \ x. x / T(y \ 1,y * x) = (y \ 1) \ x. ((x \ 1) \ y) \ y = T(x \ 1,x * y). T(x \ 1,x * y) = ((x \ 1) \ y) \ y. T((x / y) \ 1,x) = (((x / y) \ 1) \ y) \ 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 * y) * z) \ (y * z),R(T(x,y * z),y,z)) * ((y * z) / ((x * y) * z)) = (((y * z) / ((x * y) * z)) \ 1) \ 1. (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) * (T(y,x) / x) = x * (y / x). T(x,y) * (y / T(x,y)) = x * (y / x). x * (y / x) != T(x,y) * z | y / T(x,y) = z. T(x,y) * z != x * (y / x) | y / T(x,y) = z. x * y != T((y \ z) * y,u) | x = y \ T(z,u). ((x \ y) * x) / T(x,y) = x \ T(y,x). (x \ T(y,x)) * T(x,y) = (x \ y) * x. (x \ y) * T(x,y) = (x \ ((x * y) / x)) * x. (x \ ((x * y) / x)) * x = (x \ y) * T(x,y). (x * (y / x)) * (y / (y / x)) = y * x. (x * y) * ((y * x) / ((y * x) / x)) = (y * x) * x. (x * y) * ((y * x) / y) = (y * x) * x. x * (((y \ x) * y) / (y \ x)) = ((y \ x) * y) * y. x * (x / (x / y)) = ((y \ x) * y) * y. ((x \ y) * x) * x = y * (y / (y / x)). ((x \ T(y,x)) * T(x,y)) * T(x,y) = y * (y / (y / T(x,y))). ((x \ y) * x) * T(x,y) = y * (y / (y / T(x,y))). x * ((x \ y) * x) = y * (y / (y / T(x,y))). x * (x / (x / T(y,x))) = y * ((y \ x) * y). (x / (x / y)) * x = y * ((y \ x) * y). x * y != z * ((z \ x) * z) | y = x / (x / T(z,x)). T(x / (x / y),x) = x / (x / T(y,x)). x / (x / T(y,x)) = T(x / (x / y),x). T(x / (x / y),x) \ x = x / T(y,x). T(x / y,x) \ x = x / T(y \ x,x). x / T(y \ x,x) = T(x / y,x) \ x. L(x,x \ y,x) \ y = y / T(x,y). x != (y * T(z,u)) / T(z,w) | x = (y / T(z,w)) * T(z,u). ((x * (y / x)) / T(x,z)) * x = (y / T(x,z)) * T(x,x \ y). T(x * (y / x),x) = (y / T(x,y)) * T(x,x \ y). (x / T(y,x)) * T(y,y \ x) = T(y * (x / y),y). x != T(y * (z / y),u) | x = y * (T(z,u) / y). (x / T(y,x)) * T(y,y \ x) = y * (T(x,y) / y). (x / T(y,x)) * z != y * (T(x,y) / y) | z = T(y,y \ x). T(x,x \ T(y,x)) = T(x,x \ y). T(x,T(x,y) \ y) = T(x,x \ y). ((x \ 1) / L(x \ 1,x,y)) * T(z,(x * ((y * x) \ y)) \ 1) = z * ((x \ 1) / ((x * ((y * x) \ y)) * (x \ 1))). x \ T(x,T(y,y \ x) \ 1) = K(x,y \ 1). x * K(x,y \ 1) = T(x,T(y,y \ x) \ 1). T(x,T(y,y \ x) \ 1) = x * K(x,y \ 1). (x * (x * (T(x,y) \ y))) / T((x \ y) * x,x) = T(x,T(x,y) \ y). (x * T(y,x)) / T((x \ y) * x,x) = T(x,T(x,y) \ y). (x * y) / T((y \ x) * y,y) = T(y,T(y,x) \ x). x != T(y,T(y,z) \ z) | x = T(y,y \ z). (x * y) / T((y \ x) * y,y) = T(y,y \ x). (T(x,y) * (y * x)) / T(x,y) != z | T(x,y * x) * T(y,x) = z. ((x \ 1) \ 1) \ (((x * y) \ y) \ y) = ((x \ 1) \ (K(x \ 1,x) * y)) * (x \ 1). ((x \ 1) \ 1) \ (((x * y) \ y) \ y) = ((1 / x) \ y) * (x \ 1). ((x \ 1) \ 1) \ (((x * y) \ y) \ y) != z * u | (((1 / x) \ y) * (x \ 1)) / u = z. (x / (y * x)) \ T(x,T(y,x)) = x * y. (x / (y * x)) \ T(x,y) = x * y. T(x,y) / (x * 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). R(1 / x,x,y) * (y * x) = T(y,x). T(x,y \ 1) / (y \ x) = x / ((x \ (y \ x)) * x). (x * R(y,x,y)) \ T(x * y,y) = K(x,x \ T(x * y,y)). T(x,x \ y) * z != x * (x * (y / x)) | z = y. T(x,y) * L(T(T(x,y),x) \ y,z,u) = T(T(x,y) * L(x \ y,z,u),x). T(x,y) * L(T(x,y) \ y,z,u) = T(T(x,y) * L(x \ y,z,u),x). T(T(x,y) * L(x \ y,z,u),x) = T(x,y) * L(T(x,y) \ y,z,u). x != T(y,z) * L(T(y,z) \ z,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). T(x * L(y,z,u),x * y) = T(T(x,x * y) * L(y,z,u),x). T(T(x,x * y) * L(y,z,u),x) = T(x * L(y,z,u),x * y). K(x \ y,x) = K(x \ y,T(x,y)). K(x \ y,T(x,y)) = K(x \ y,x). K(x \ (x * y),x) = K(y,T(x,x * y)). K(x,T(y,y * x)) = K(x,y). K(x,T(y,x * y)) = K(x,y). K(x,T(x \ y,y)) = K(x,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). (x * R(y,x,y)) \ T(x * y,y) = K(x,y). T(x * y,x) \ T(y * x,x) = K(y,x). K(x \ T(x * y,x),x) = K(y,x). K(x \ T(y,x),x) = K(x \ y,x). x != K(y \ T(z,y),y) | x = T(z,y) \ ((T(y,z) \ z) * y). K(x \ y,x) = T(y,x) \ ((T(x,y) \ y) * x). T(x,y) \ ((T(y,x) \ x) * y) = K(y \ x,y). T(x,y) * K(y \ x,y) = (T(y,x) \ x) * y. (x \ y) * x = (y / x) * (y / (y / x)). (x / y) * (x / (x / y)) = (y \ x) * y. L(x,y,z \ (u / w)) = L(x,y,z \ (u / ((w \ 1) \ 1))). L(x,y,z \ (u / ((w \ 1) \ 1))) = L(x,y,z \ (u / w)). x != L(y \ 1,y,z * (1 / y)) | x = z * (R(z,y \ 1,y) \ (1 / y)). L(x \ 1,x,y * (x \ 1)) = y * (R(y,x \ 1,x) \ (1 / x)). x * (R(x,y \ 1,y) \ (1 / y)) = L(y \ 1,y,x * (y \ 1)). x / L(L(y \ 1,z,u) \ (y \ 1),L(1 / y,z,u),x / (y \ 1)) = (x / (1 / y)) * L(1 / y,z,u). x / L(L(y \ 1,z,u) \ (y \ 1),L(y \ 1,z,u),x / (y \ 1)) = (x / (1 / y)) * L(1 / y,z,u). (x / (1 / y)) * L(1 / y,z,u) != w | (x / (y \ 1)) * L(y \ 1,z,u) = w. x * R(1 / (1 / y),1 / y,(1 / y) \ x) = (1 / y) \ T(x,y). x * R(1 / (1 / y),y \ 1,(1 / y) \ x) = (1 / y) \ T(x,y). ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(y,((x \ 1) \ y) / y). K(x,((y \ 1) \ x) / x) = ((1 / y) \ x) \ ((1 / y) \ T(x,y)). x != ((1 / y) \ z) \ ((1 / y) \ T(z,y)) | 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 \ 1) \ 1) \ (((x * y) \ y) \ y) = (x * y) * ((((x \ 1) \ 1) \ (x * y)) / (x * y)). (x * y) * ((((x \ 1) \ 1) \ (x * y)) / (x * y)) = ((x \ 1) \ 1) \ (((x * y) \ y) \ y). (x * y) * ((K(x \ 1,x) * y) / (x * y)) = ((x \ 1) \ 1) \ (((x * y) \ y) \ y). (x * y) * R(x \ 1,x,y) = ((x \ 1) \ 1) \ (((x * y) \ y) \ y). ((x \ 1) \ 1) \ (((x * y) \ y) \ y) = (x * y) * R(x \ 1,x,y). (((1 / x) \ y) * (x \ 1)) / R(x \ 1,x,y) = x * y. x * y != T(x,T(z,z \ x) \ 1) | y = K(x,z \ 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(T((1 / x) * y,x),x) = K(T(x \ y,x),x). x != K(T((1 / y) * z,u),y) | x = K(T((y \ 1) * z,u),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). (x / y) \ (x * (y \ 1)) = (x * (y \ 1)) / (x / y). (x * (y \ 1)) / (x / y) = (x / y) \ (x * (y \ 1)). a(x \ 1,x,y) = ((1 / x) * (x * y)) \ y. ((1 / x) * (x * y)) \ y = a(x \ 1,x,y). x * K(((1 / y) * x) \ x,(y \ 1) * x) = (y \ T(y,(y \ 1) * x)) * x. (x \ T(x,(x \ 1) * y)) * y = y * K(((1 / x) * y) \ y,(x \ 1) * y). (x \ T(x,(x \ 1) * y)) * y = y * K(((x \ 1) * y) \ y,(x \ 1) * y). x != y * K(z \ y,z) | 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. (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,x \ y)) * y. x != (y \ T(y,y \ z)) * z | x = y * (z / y). (((x \ 1) * y) \ y) * ((x \ 1) * y) = x * (y / x). x / (y * (x / y)) = T((y \ x) * y,x) / x. T((x \ y) * x,y) / y = y / (x * (y / x)). ((x \ y) * x) / y = y / (x * (y / x)). x != y / (z * (y / z)) | 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 != L((y \ ((z \ u) \ w)) * y,z \ u,z) | x = (y \ (u \ (z * w))) * y. x * (y \ (x / (x / y))) = (y \ (1 \ (x * 1))) * y. (x \ (1 \ (y * 1))) * x = y * (x \ (y / (y / x))). (x \ (1 \ y)) * x = y * (x \ (y / (y / x))). x * (y \ (x / (x / y))) = (y \ (1 \ x)) * y. x * (y \ (x / (x / y))) = (y \ x) * y. x * y != (z \ x) * z | 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. T(x,K(y \ x,y)) = x. (x \ 1) * ((y \ x) * y) = T((x \ 1) * ((y \ x) * y),x). T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * ((y \ x) * y). T(x * y,K(y,x)) = x * y. K(x,y) \ (x * y) = y * x. (x * y) / (y * x) = K(x,y). T(x,y) \ x = K(y,x). K(x,y) * (y * x) = x * y. K(x,x \ y) * ((x \ y) * x) = y. K(x,x \ y) \ y = (x \ y) * x. x \ T(x,y) = K(x,y). K(x \ (x / y),x) = K(y \ 1,x). x \ T(x,y) = K(T(x,y),y). K(T(x,y),y) = x \ T(x,y). x / T(x,y) = K(y,x). (T(x,y) \ 1) * T(x,x \ 1) = K(y,x). x * (T(x,y) \ 1) = K(y,x). x != T(y,z) \ y | x = ((y * z) / y) \ z. K(x,y) = ((y * x) / y) \ x. ((x * y) / x) \ y = K(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 = (1 / T(y,z)) * y. K(x,y) = (1 / T(y,x)) * y. (1 / T(x,y)) * x = K(y,x). 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). 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). x \ K(x \ 1,y) = T(x \ 1,y). T(x,y) * K(y,x) = x. T(T(x,y),z) \ T(x,z) = K(y,T(x,z)). L(T(x,y),z,u) \ L(x,z,u) = K(y,L(x,z,u)). R(T(x,y),z,u) \ R(x,z,u) = K(y,R(x,z,u)). x / K(y,x) = T(x,y). x / K(y,x) != z | z = T(x,y). x / K(y,x) != z | T(x,y) = z. T(x,x * y) \ x = K((1 / y) \ x,x). K((1 / x) \ y,y) = T(y,y * x) \ y. ((x \ y) \ y) * K(x \ y,x) = x. K(x,y) * T(y,x) = y. K(x,y) \ y = T(y,x). (K(x,y) / y) \ 1 = T(y,x). (x \ 1) * K(y,x) = T(x,y) \ 1. (1 / x) * K(y,x) = 1 / T(x,y). x * (((y * x) / y) \ z) = K(x,y) * z. K(x,y) * ((y * x) / y) = x. T(x * K(y,x),y) = x. K(x,y) != z | x \ T(x,y) = z. T(x,y) * (x \ z) = K(x,y) * z. x * (K(x,y) * z) = T(x,y) * z. K(x / y,z) * x = y * T(y \ x,z). (x * y) / x = y * K(x,y). K(x,y) * z = y * (T(y,x) \ z). x * (T(x,y) \ z) = K(y,x) * z. K(x,y) * (T(y,x) * z) = y * z. T(x,y) * (x \ y) = y * K(x,y). T(x,y) = T(T(x * K(z,x),y),z). T(T(x * K(y,x),z),y) = T(x,z). x * y = (y * K(x,y)) * x. (x * K(y,x)) * y = y * x. x * L(y,z,u) = L(y * K(x,y),z,u) * x. L(x * K(y,x),z,u) * y = y * L(x,z,u). x * T(y,z) = T(y * K(x,y),z) * x. T(x * K(y,x),z) * y = y * T(x,z). 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. (x * K(y,x)) \ (y * x) = y. 1 / (1 / x) = T(1 / (1 / (x * K(y,x))),y). T(1 / (1 / (x * K(y,x))),y) = 1 / (1 / x). (1 / (x * K(y,x))) * L(x,z,u) = L(T(x * K(y,x),y),z,u) / (x * K(y,x)). L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (1 / (x * K(y,x))) * L(x,z,u). T(x \ K(y,x \ 1),y) = x \ 1. T(K(x,y) * y,x) = y. ((x \ 1) \ 1) * y = (y * K(x,y)) * ((x \ 1) \ 1). (x * K(y,x)) * ((y \ 1) \ 1) = ((y \ 1) \ 1) * x. 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(K(x,y \ 1) / y,x) = 1 / y. (x \ y) * K(x,y / x) = y / x. T(x,y) \ x != z | z = K(y,x). T(x,y) \ x != z | K(y,x) = z. ((x \ y) \ y) * K(y / x,x) = x. T(x,y) * y = x * (y * K(x,y)). x * (y * K(x,y)) = T(x,y) * y. x * y != z \ T(z,u) | x \ K(T(z,u),u) = y. T(x,y) \ K(T(x,y),y) = x \ 1. x * T(x \ 1,y) = K(1 / x,y). (1 / x) * T((1 / x) \ 1,y) = K(x,y). (1 / x) * T(x,y) = K(x,y). T(x,y) / x = K(x,y). T(x,y) * (x \ 1) = K(x,y). x != K(y,z \ 1) | x = K(y,1 / z). x \ T(x,y \ 1) = K(x,1 / y). x != K(y,z) | x = T(K(y,z),y). x \ T(x,y) = T(K(x,y),x). x * y != z \ T(z,u) | T(x,y) = y \ K(z,u). T(T(x,y),x \ 1) = (x \ 1) \ K(x,y). (x \ 1) \ K(x,y) = T(T(x,y),x \ 1). x != y \ T(y,z) | x = K(T(y,z),z). K(x,y) = K(T(x,y),y). K(T(x,y),y) = K(x,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,z) | x = ((y * z) / y) * (z \ 1). K(x,y) = ((x * y) / x) * (y \ 1). ((x * y) / x) * (y \ 1) = K(x,y). x != y \ T(y,z) | x = ((y * z) / y) / z. K(x,y) = ((x * y) / x) / y. ((x * y) / x) / y = K(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 * x) / y) = K(y,x). 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 != 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 != z \ T(z,u) | K(z,u) / y = x. K(x,y) / T(x,y) = 1 / x. x * y != z \ T(z,u) | x \ K(z,u) = y. ((x * y) / x) \ K(x,y) = y \ 1. x * K(x,y) = T(x,y). L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u). R(x,y,z) \ R(T(x,u),y,z) = K(R(x,y,z),u). 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,y) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). x \ T(x,y \ x) = K(x,x * (y \ 1)). K(x,x * (y \ 1)) = x \ T(x,y \ x). K(x,y) * x = T(x,y). K(x,y) * x != z | T(x,y) = z. a(x,y,z) \ ((a(x,y,z) \ 1) \ 1) = K(a(x,y,z),z \ L(z,y,x)). K(a(x,y,z),z \ L(z,y,x)) = a(x,y,z) \ ((a(x,y,z) \ 1) \ 1). K(x,y) * y = (x * y) / x. (x * y) / x = K(x,y) * y. (x \ y) * K(x,x \ y) = y / x. T(x,y) * K(y,T(x,y)) = x. K(x,y) \ z = x * (T(x,y) \ z). x * (T(x,y) \ z) = K(x,y) \ z. K(x,y) * (x * z) = T(x,y) * z. K(x,y) \ z != u | x * (T(x,y) \ z) = u. x \ T(x,y) = K(x,y * K(z,z \ 1)). K(x,y * K(z,z \ 1)) = x \ T(x,y). K(x,x \ y) * y = x * (y / x). K(x,y) \ (T(x,y) * z) = x * z. K(x,y) = K(x,T(y,x)). K(x,T(y,x)) = K(x,y). x != K(T(y,z),z) | x = K(z,y) \ 1. K(x,y) = K(y,x) \ 1. K(x,y) \ 1 = K(y,x). x != K(T(y,y \ z),y \ z) | x = K(y,z / y). K(x,x \ y) = K(x,y / x). K(x,y / x) = K(x,x \ y). x != K(T(y,z),z) | x = K(y,(y * z) / y). K(x,y) = K(x,(x * y) / x). K(x,(x * y) / x) = K(x,y). 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,y) * K(y,x) = 1. K(x,y) \ 1 != z | K(y,x) = z. K(x,T(y,x)) != z | K(x,y) = z. K(x,x \ y) = K(y / (y / x),x \ y). K(x / (x / y),y \ x) = K(y,y \ x). K(x,y) * z != 1 | K(y,x) = z. K(x,y) = K(x * K(y,x),y). K(x * K(y,x),y) = K(x,y). 1 / K(x,y) = K(y,x). x * (K(y,z) * K(z,y)) = x. 1 != x * K(y,z) | K(z,y) = x. x * K(y,z) != 1 | K(z,y) = x. x * (K(y,z) * K(z,y)) != u | u = x. 1 / K(x,y) != z | z = K(y,x). 1 / K(x,y) != z | K(y,x) = z. x != T(y,z * (u \ 1)) | x = T(y,z * (1 / u)). x * K(x,y * (z \ 1)) = T(x,y * (1 / z)). x != T(y,z \ y) | x = T(y,y / z). x * K(x,y \ x) = T(x,x / y). T(x,y) != x * z | K(x,y) = z. ((x * y) * K(y,z)) / T(y,z) = R(x,y,K(y,z)). (x * y) * L(K(y,z),y,x) = x * T(y,z). x \ T(x,y) != z | z = K(x,y). x \ T(x,y) != z | K(x,y) = z. 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). (1 / x) * K(x \ 1,y) = T(1 / 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 \ y,(x \ y) \ y) = K(x \ y,x). K(x / y,y) = K(x / y,x / (x / y)). K(x / y,x / (x / y)) = K(x / y,y). K(x,y) = K(x,y * K(x,y)). K(x,y * K(x,y)) = K(x,y). K(x,x \ (y * x)) != z | K(x,y) = z. K(x,T(x \ y,z)) != u | K(x,T(y / x,z)) = u. K(x,R(T(y,x * z),x,z)) != u | K(x,(x * z) \ ((x * y) * z)) = u. x * y != (z * R(u,w,v5)) * u | ((z * u) * R(u,w,v5)) / y = x. ((x * y) * R(y,z,u)) / (x * R(y,z,u)) = y * K(x * R(y,z,u),y). x * y != (z * L(u,w,v5)) * u | ((z * u) * L(u,w,v5)) / y = x. ((x * y) * L(y,z,u)) / (x * L(y,z,u)) = y * K(x * L(y,z,u),y). x * y != R(z,u,w) * (u * w) | ((z * u) * w) / y = x. ((x * y) * z) / R(x,y,z) = (y * z) * K(R(x,y,z),y * z). x * y != (z * (u * w)) * a(z,u,w) | ((z * u) * w) / y = x. ((x * y) * z) / (x * (y * z)) = a(x,y,z) * K(x * (y * z),a(x,y,z)). a(x,y,z) * K(x * (y * z),a(x,y,z)) = ((x * y) * z) / (x * (y * z)). x / (x / y) = y * K(x / y,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) * z) / (x * z) = R(y * K(x,y),x,z). R(x * K(y,x),y,z) = ((y * x) * z) / (y * z). ((x * y) * z) * a(z * K(x * y,z),x,y) = ((z * K(x * y,z)) * x) * y. (x * y) * (x \ 1) = R(y * K(x,y),x,x \ 1). R(x * K(y,x),y,y \ 1) = (y * x) * (y \ 1). (x \ K(y,x \ 1)) * y = y * (x \ 1). ((x \ 1) \ K(y,x)) * y = y * ((x \ 1) \ 1). (1 / (1 / x)) / (x * y) = x / ((y * K(x,y)) * ((x \ 1) \ 1)). x / ((y * K(x,y)) * ((x \ 1) \ 1)) = (1 / (1 / x)) / (x * y). x * y != z * (L(z,u,w) \ 1) | (L(z,u,w) \ z) / y = x. (L(x,y,z) \ x) / x = L(x,y,z) \ K(x,L(x,y,z) \ 1). L(x,y,z) \ K(x,L(x,y,z) \ 1) = (L(x,y,z) \ x) / x. K(x,y) * K(y,x) != z | z = 1. K(x,y) * K(y,x) != z | 1 = z. T(K(x,y),z) * R(T(K(x,y),z) \ 1,u,w) = T(K(x,y) * R(K(y,x),u,w),z). (x * K(y,x)) \ 1 = x \ K(x,y). x * K(y,x) = K(x,y) \ x. K(x,y) \ x = x * K(y,x). (x * y) / (T(x,z) * y) = K(z,x). K(x,y) \ (y * z) = T(y,x) * z. x \ (T(x,y) * z) = K(x,y) * z. (x \ y) / (T(x,z) \ y) = K(x,z). (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. K(x,y) \ (x \ z) = T(x,y) \ z. x \ y = K(x,z) * (T(x,z) \ y). K(x,y) * (T(x,y) \ z) = x \ z. T(x,y) \ (K(x,y) * z) = x \ z. x * y != K(z,u) * K(u,z) | 1 / y = x. 1 / (x \ K(y,x)) = T(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 != T(y,z) * (y \ L(y,u,w)) | x = (y \ L(y,u,w)) * T(y,z). K(x,y) * L(x,z,u) = (x \ L(x,z,u)) * T(x,y). (x \ L(x,y,z)) * T(x,u) = K(x,u) * L(x,y,z). x != y * (z \ (u * z)) | x = y * T(u,z). K(x,y) * (z * x) = T(x,y) * T(z,x). T(x,y) * T(z,x) = K(x,y) * (z * x). x * y != T(z,u) * (z \ w) | x \ (K(z,u) * w) = y. x \ (K(y,x) * z) = T(x,y) \ z. K(x,y) * (T(x,y) \ z) != u | x \ z = u. T(x,y) * K(x,z) = K(x,y) * T(x,z). x * (K(y,z) * (T(y,z) \ u)) != w | x * (y \ u) = w. K(R(x,x \ y,z),u) \ ((x \ y) * z) = T(R(x,x \ y,z),u) \ (y * z). (x * ((y \ 1) \ 1)) / x = (y \ 1) \ K(x,y). (x \ 1) \ K(y,x) = (y * ((x \ 1) \ 1)) / 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. K(x,y) \ y != z | z = T(y,x). K(x,y) \ y != z | T(y,x) = z. x * L(y,T(x,z),K(z,x)) != K(z,x) * u | T(x,z) * y = u. K(x,y) * z != y * L(u,T(y,x),K(x,y)) | T(y,x) * u = z. x != T(T(y,z),u) | x = T(T(y,u),z). K(T(x,y),z) * T(x,y) = T(T(x,z),y). K(x / y,y) * (x / y) = y \ x. K(L(x,y,z),u) * L(x,y,z) = L(T(x,u),y,z). x * y != T(y,L(y,z,u) \ 1) | x = K(y,y \ 1). K(x,L(x,y,z) \ 1) = K(x,x \ 1). x * (K(y,x) * y) = y * x. (x * K(y,z)) * u != x * T(y,z) | L(y,K(y,z),x) = u. (x * K(y,z)) * y != u * T(y,z) | R(x,K(y,z),y) = u. T(x,y) \ (K(x,y) * (z * x)) = L(T(z,x),x,K(x,y)). (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. L(x,y,z) \ K(x,L(x,u,w) \ 1) = 1 / L(x,y,z). x != L(y,z,u) \ K(y,L(y,z,u) \ 1) | x = (L(y,z,u) \ y) / y. 1 / L(x,y,z) = (L(x,y,z) \ x) / x. (L(x,y,z) \ x) / x = 1 / L(x,y,z). (1 / L(x,y,z)) * x = L(x,y,z) \ x. x / L(x,y,z) = L(x,y,z) \ x. x * y != L(x,z,u) \ x | T(1 / L(x,z,u),x) = y. T(1 / L(x,y,z),x) = L(x,y,z) \ 1. (x / (y * x)) * y = L(x,y,x / (y * x)) \ x. L(x,y,x / (y * x)) \ x = (x / (y * x)) * y. L(x,y,z) / L(L(x,y,z),u,w) = L(L(x,u,w),y,z) \ L(x,y,z). (L(x,y,z) \ x) \ x = L(x,y,z). (L(x \ 1,x,y) \ (x \ 1)) * T(z,(x * ((y * x) \ y)) \ 1) = z * ((x \ 1) / ((x * ((y * x) \ y)) * (x \ 1))). x != y / L(y,z,u) | x = L(y,z,u) \ y. L(L(x,y,z),u,w) \ L(x,u,w) = L(L(x,u,w),y,z) \ L(x,u,w). L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). x * y != L(K(z,u \ 1),w,v5) | x \ K(z,L(u,w,v5) \ 1) = y. L(x,y,z) \ K(x,L(x,y,z) \ 1) = (1 / x) * (L(x,y,z) \ x). 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). T(x * K(y,z),x \ K(z,y)) = ((x * K(y,z)) \ 1) \ 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) \ (x * K(z,y)) = L(T(y,z) \ 1,y,x). x \ (y * K(z,y \ x)) = L(T(y \ x,z) \ 1,y \ x,y). L(T(x \ y,z) \ 1,x \ y,x) = y \ (x * K(z,x \ y)). x \ (T(x,y) * y) = y * K(x,y). R(x,y,z * K(y,z)) * (T(y,z) * z) = (x * y) * (z * K(y,z)). T(x,y * K(x,y)) / (T(x,y) * y) = x / ((y * K(x,y)) * x). (x * y) * ((y * x) \ 1) = K(y \ (y * x),y). K(x \ (x * y),x) = (y * x) * ((x * y) \ 1). 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) * T(y,z) | x = L(y,y \ z,y). T(x * K(x \ y,x),y) = L(x,x \ y,x). T(x * K(y * R(x,z,u),x),y) = R(x,y,R(x,z,u)). T(x * K(y,x),z) = T((y * x) / y,z). T((x * y) / x,z) = T(y * K(x,y),z). 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 * x) / y) \ 1) = K(x,y). x \ K(x,y) = ((y * x) / y) \ 1. ((x * y) / x) \ 1 = y \ K(y,x). x * y != z * (u \ u) | z / y = x. x / ((y * x) / y) = K(x,y). x * y = K(x,z) * (((z * x) / z) * y). K(x,y) * (((y * x) / y) * z) = x * z. (x \ y) * ((y / x) \ z) = K(x \ y,x) * z. x \ y = K(x \ y,x) * (y / x). K(x \ y,x) * (y / x) = x \ y. x * y != K(z,u) * K(u,z) | x \ 1 = y. (x \ y) \ 1 = (y / x) \ K(x,x \ y). (x / y) \ K(y,y \ x) = (y \ x) \ 1. (x \ y) * z = K(x \ y,x) * ((y / x) * z). K(x \ y,x) * ((y / x) * z) = (x \ y) * z. (x / y) * K(y \ x,y) = y \ x. ((x \ y) * z) \ (K(x \ y,x) * ((y / x) * (z * u))) = L(L(u,z,y / x),(y / x) * z,K(x \ y,x)). (L(T(x,y),z,u) / x) * w != x \ L(T(x,y),z,u) | 1 = w. 1 = K(x \ L(T(x,y),z,u),x). K(x \ L(T(x,y),z,u),x) = 1. (x / y) \ (y \ x) != z | z = K(y \ x,y). (x / y) \ (y \ x) != z | K(y \ x,y) = z. K(x,y) \ (z * T(x,y)) = x * T(z,T(x,y)). ((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) | T(x,y) = y \ (K(z,u) \ w). T(K(x,y),z) = z \ (K(y,x) \ z). x \ (K(y,z) \ x) = T(K(z,y),x). x != y * (T(y,z) \ u) | x = K(y,z) \ u. K(x,y) * z = K(y,x) \ z. K(x,y) \ z = K(y,x) * z. x != y * (T(y,z) \ (1 / y)) | x = 1 / T(y,z). K(x,y) * (1 / y) = 1 / T(y,x). x * y != z * (T(z,u) \ w) | (K(z,u) \ w) / y = x. (K(x,y) \ z) / z = K(y,x). 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). T(x,y) * (K(y,x) * z) = x * z. K(x,y) * (y \ z) != u | T(y,x) \ z = u. 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) * (K(z,y) * x). K(x,y) * (K(y,x) * z) = z. 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) \ T(z,K(y,x)) = z * K(y,x). x != K(y,z) \ (y \ K(y,z)) | x = y \ 1. K(x,y) * (y \ K(y,x)) = y \ 1. 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 * y != K(z,u) \ (z \ K(z,u)) | (z \ 1) / y = x. (x \ 1) / (x \ K(x,y)) = K(y,x). x * y != K(z,u) \ (z \ w) | x \ (T(z,u) \ w) = y. K(x,y) \ (T(y,x) \ z) = y \ z. (K(x,y) \ z) * L(u,z,K(y,x)) = K(y,x) * (z * u). 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. K(x,y) * (K(y,x) * (z * u)) != z * w | w = u. x * (K(y,z) * u) != u | x = K(z,y). x * (K(y,z) * u) != u | K(z,y) = x. 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. R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(y,z) \ u). T((x \ K(y,z)) \ 1,K(z,y) * x) = (x \ K(y,z)) \ 1. R(K(x,y) * R(K(y,x),z,u),K(y,x),z * u) = ((K(y,x) * z) * u) / (K(y,x) * (z * u)). L(K(x,y),z,u) \ w = K(L(y \ 1,z,u) \ 1,x) * w. K(L(x \ 1,y,z) \ 1,u) * w = L(K(u,x),y,z) \ w. (x \ 1) / (x \ K(x,y)) != z | K(y,x) = 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 != u | z = K(y,x) * u. K(x,y) * z != u | K(y,x) * u = z. K(x,y) != z | z = K(y,x) \ 1. K(x,y) != z | K(y,x) \ 1 = z. x / (x * K(y,x)) = K(x,y). x != T(y,y \ z) \ u | x = ((y \ z) \ z) \ u. K(x \ y,x) * (x \ z) = ((x \ y) \ y) \ z. ((x \ y) \ y) \ z = K(x \ y,x) * (x \ z). (T(x,y) \ z) * u != K(y,x) * ((x \ z) * w) | L(w,x \ z,K(y,x)) = u. K(x,y) * ((y \ z) * u) != (T(y,x) \ z) * w | L(u,y \ z,K(x,y)) = w. K(x,y) * K(z,y / z) = T(y,x) \ (z * (y / z)). T(x,y) \ (z * (x / z)) = K(y,x) * K(z,x / z). K(x,T(y,z)) * K(z,y) = T(T(y,z),x) \ y. x * (K(y,x) * (x \ z)) = K(y,x) * z. K(x,x \ y) * ((x \ y) * z) = (y / x) * z. K(x,y) * (T(x,z) * K(y,x)) = T(x,z). K(x,y) * (K(x,z) * K(y,x)) = K(x,z). T(x * T(x \ 1,y),z) = K(T(x,z) \ 1,y). R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). T(1 / x,y) * x = K(x \ 1,y). x != (y / z) * T((y / z) \ 1,u) | x = (y * T(y \ z,u)) / z. K((x / y) \ 1,z) = (x * T(x \ y,z)) / y. (x * T(x \ y,z)) / y = K((x / y) \ 1,z). 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 * T(y \ 1,z))) * y = (x * y) * K(y \ 1,z). x * K((x \ y) \ 1,z) = y * T(y \ x,z). x * T(x \ y,z) = y * K((y \ x) \ 1,z). K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y). (x \ (y \ x)) * x = K(y \ 1,x) * (y \ x). K(x \ 1,y) * (x \ y) = (y \ (x \ y)) * y. K((x / y) \ 1,z) * y = x * T(x \ y,z). x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y. (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * K(y \ 1,u)) * z. ((x * y) \ x) * (x * y) = x * K(y \ 1,x * y). K((x * y) \ 1,x) != z | ((x \ (1 / y)) * x) * y = z. L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). (x * y) * K(L(z,y,x) \ 1,u) = x * (y * K(z \ 1,u)). L(1,x,y) = K(L(z,x,y) \ 1,(z \ 1) * L((z \ 1) \ 1,u,w)). K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = L(1,y,z). L(K(x,y),z,u) = K(L(x \ 1,z,u) \ 1,y). K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). L(K(x,y),z,u) * 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) \ 1 = L(K(y,x),z,u). x = L(K(y,z),u,w) * (L(K(z,y),u,w) * x). L(K(x,y),z,u) * (L(K(y,x),z,u) * w) = w. 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. 1 / L(K(x,y),z,u) != w | w = L(K(y,x),z,u). 1 / L(K(x,y),z,u) != w | L(K(y,x),z,u) = w. ((x \ (y / z)) * x) * z = y * K((y \ (x * z)) \ 1,x). x \ T(y,z) = (x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z). (x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z) = x \ T(y,z). x \ T(x * y,z) = y * K((y \ (x \ 1)) \ 1,z). x \ (y * (z * T(z \ (y \ x),u))) = K((x \ (y * z)) \ 1,u). x * (y * T(y \ (x \ z),u)) = z * K((z \ (x * y)) \ 1,u). x * K((x \ (y * z)) \ 1,u) = y * (z * T(z \ (y \ x),u)). T(x,y) * z = (x * z) * K(((x * z) \ z) \ 1,y). (x * y) * K(((x * y) \ y) \ 1,z) = T(x,z) * y. x * y != T(z,u) * T(T(z,u) \ T(w,u),v5) | x \ T(z * T(z \ w,v5),u) = y. T(x,y) \ T(z * T(z \ x,u),y) = K((T(x,y) \ T(z,y)) \ 1,u). x * y != (z / u) * T((z / u) \ w,z) | x \ (((z \ (w * u)) * z) / u) = y. x \ (((y \ (x * z)) * y) / z) = K((x \ (y / z)) \ 1,y). x * T(x \ y,z) != y * u | K((y \ x) \ 1,z) = u. T(x,y) * T(T(x,y) \ y,z) = y * K((T(y,x) \ x) \ 1,z). x * y != (z \ y) * z | x = K(z \ y,z). K(x \ 1,y) = K(y \ (x \ y),y). K(x \ (y \ x),x) = K(y \ 1,x). K(x \ y,x) = K((x / y) \ 1,x). K((x / y) \ 1,x) = K(x \ y,x). (x \ y) * K(x \ 1,y) = (y \ (x \ y)) * y. (x \ (y \ x)) * x = (y \ x) * K(y \ 1,x). R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(z,y) * u). L((K(x,y) * z) \ u,K(x,y) * z,K(y,x)) = z \ (K(y,x) * u). T(x,K(y,z)) != u | K(z,y) * (x * K(y,z)) = u. x \ (y * ((K(z,u) * y) \ x)) = R(T(K(u,z),x),K(z,u) * y,(K(z,u) * y) \ x). R(T(K(x,y),z),K(y,x) * u,(K(y,x) * u) \ z) = z \ (u * ((K(y,x) * u) \ z)). x * (T(x,y) \ z) != u | K(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,x) * (x * (y / x)) = y. x / T(y,x) = K(x,y) * (x / y). K(x,y) * (x / y) = x / T(y,x). K(x,y / z) * (z * T(z \ y,x)) = y. (x * y) / (K(z,x) * y) = T(x,z). x / (K(y,x / z) * z) = T(x / z,y). x * y != T(z,u) * (K(u,z) * w) | x \ (z * w) = y. ((x \ y) \ y) \ (x * z) = K(x \ y,x) * z. (x * y) / (K(z,x) * y) != u | u = T(x,z). (x * y) / (K(z,x) * y) != u | T(x,z) = u. T(x,y) \ (x * z) != u | u = K(y,x) * z. T(x,y) \ (x * z) != u | K(y,x) * z = u. K(x,y) * (y * z) = y * (K(x,y) * z). R(K(x,y),y * z,u) * ((y * z) * u) = (y * (K(x,y) * z)) * u. K(x,R(y,z,u)) * ((y * z) * u) = R(y,z,u) * (K(x,R(y,z,u)) * (z * u)). R(x,y,z) * (K(u,R(x,y,z)) * (y * z)) = K(u,R(x,y,z)) * ((x * y) * z). x * (K(y,x) * (x \ z)) != u | K(y,x) * z = u. (x * (K(y,x) * z)) \ (K(y,x) * (x * (z * u))) = L(L(u,z,x),x * z,K(y,x)). (K(x,y) * z) \ (y * (K(x,y) * z)) = L(T(y,z),z,K(x,y)). T(x,y) \ T(x * K(z,x),y) = K(z,T(x,y)). T(x,y) \ T(x * K(z,x),y) != u | u = K(z,T(x,y)). T(x,y) \ T(x * K(z,x),y) != u | K(z,T(x,y)) = u. x != T(y,z) * (y \ u) | x = K(y,z) * u. x * (K(x,y) * (x \ z)) = K(x,y) * z. x \ (K(x,y) * z) = K(x,y) * (x \ z). x * y != T(z,z \ u) * w | x \ (((z \ u) \ u) * w) = y. x \ (((x \ y) \ y) * z) = K(x,x \ y) * z. x \ (y * T(x,z)) = K(x,z) * T(y,T(x,z)). K(x,y) * T(z,T(x,y)) = x \ (z * T(x,y)). x * y != T(x,z) * (x \ u) | 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,x \ z) * (x \ z) | y = z / x. K(x,x \ y) * (x \ y) = y / x. 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). T(x,y) * z != x * u | K(x,y) * z = u. (x * ((K(x,y) * z) * u)) \ ((T(x,y) * z) * u) = a(x,K(x,y) * z,u). x \ (T(x,y) * z) != u | u = K(x,y) * z. x \ (T(x,y) * z) != u | K(x,y) * z = u. x * (K(y,x) * K(x,z)) = T(x,z) * K(y,x). (1 / x) * K(x \ 1,y) != z | T(1 / x,y) = 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. x * T(x \ 1,y) != z | K(x \ 1,y) = z. (x * T(x \ y,z)) / y != u | K(y / x,z) = u. (x * K(y \ 1,z)) * y = (x * y) * K(y \ 1,z). (x * K(y \ 1,z)) \ ((x * y) * K(y \ 1,z)) = y. (x * K(y \ 1,z)) / y = (x / y) * K(y \ 1,z). x / y = (T(x,y \ 1) / y) * K(y \ 1,x). (T(x,y \ 1) / y) * K(y \ 1,x) = x / y. (T(x,y \ 1) / y) \ (x / y) = K(y \ 1,x). x \ T(x * y,y) = y * K(x * y,y). x * y != z * K(u,z) | x \ ((u * z) / u) = y. (x * y) \ ((x * y) / x) = L(x \ 1,x,y). x * ((y * z) / y) = x * (z * K(y,z)). R(x / y,y,K(z,x)) \ ((z * x) / z) = y * K(z,x). (x * L(y,z,u)) / x = L(y * K(x,y),z,u). L(x * K(y,x),z,u) = (y * L(x,z,u)) / y. T(x * K(y,x),y) != z | z = x. (x * K(x * y,x)) * y = T(x * y,x). (x * R(y,z,u)) / x = R(y * K(x,y),z,u). R(x * K(y,x),z,u) = (y * R(x,z,u)) / y. T(x * K(y * x,x),y) = R(x,y,x). T(x,y) * K(y,T(x,y)) != z | z = x. L(x * K(y * z,x),z,y) = (y * (z * x)) / (y * z). (x * K(y,x)) \ ((y * (x * y)) / y) = L(y,x,y). (x * y) / ((z * y) / z) = (x / (y * K(z,y))) * y. T(T(x * K(y,x),z),x * y) = L(T(x,z),y,x). T(x * K(y,x),x \ y) = (x \ y) \ T(y,x). (1 / x) * ((y * x) / y) = K(y,x). ((x * K(y * z,x)) * y) * z != u | (y * z) * R(x,y,z) = u. T(T(x * K(y,x),z),y) != u | T(x,z) = u. (x \ (y * K(x,y))) * x = (x \ y) * T(x,y). (x * y) * K(T(y,x),x * y) != z | T(y,x * y) * T(x,y) = z. x * y != (z \ x) * T((z \ x) \ x,u) | T(K(z,u),x) = y. (x \ y) * T((x \ y) \ y,z) != y * u | T(K(x,z),y) = u. K(x,y) * z != u | T(x,y) * (x \ z) = u. T(x,K(y,y \ x)) = 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). x * T(x \ y,z) != y * u | T(K(y / x,z),y) = u. x / (y * T(y \ x,z)) != u | K(z,x / y) = u. x / (y * T(y \ x,z)) = K(z,x / y). x * y != z * T(z \ y,u) | x = K(y / z,u). K(x \ 1,y) = K((x \ z) / z,y). K((x \ y) / y,z) = K(x \ 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). K(x / (y * x),z) = K(y \ 1,z). K(x / y,z) = K((y / x) \ 1,z). K((x / y) \ 1,z) = K(y / x,z). x / (K(y \ 1,z) * x) = K(z,(y \ u) / u). K(x,(y \ z) / z) = u / (K(y \ 1,x) * u). x != y / (K(z,u) * y) | x = K(u,z). K(x,(y \ z) / z) = K(x,y \ 1). K(x,(y \ z) / z) != u | K(x,y \ 1) = u. K(x,y / (z * y)) = K(x,z \ 1). K(x,y / z) = K(x,(z / y) \ 1). K(x,(y / z) \ 1) = K(x,z / y). K(x,(y * z) / (u * z)) = K(x,R(u / y,y,z) \ 1). K(x,R(y / z,z,u) \ 1) = K(x,(z * u) / (y * u)). K(x,y / z) = K(x,1 / (z / y)). K(x,1 / (y / z)) = K(x,z / y). K(1 / x,y) / x = T(1 / x,y). K(R(x,y,z),u) * (R(x,y,z) * w) = R(T(x,u),y,z) * w. K(x,y) * (L(z,u,w) * x) = T(x,y) * L(T(z,x),u,w). T(x,y) * L(T(z,x),u,w) = K(x,y) * (L(z,u,w) * x). T(x,y) * (x \ z) != u | K(x,y) * z = u. (T(x,y) * z) \ (K(x,y) * (x * (z * u))) = L(L(u,z,x),x * z,K(x,y)). T(x,y) * T(z,x) != u | K(x,y) * (z * x) = u. 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 * L(y,z,u)) / x != w | w = L(y * K(x,y),z,u). (x * L(y,z,u)) / x != w | L(y * K(x,y),z,u) = w. L(x,y,z) * u != L(x * K(w \ v5,v5 \ w),y,z) | u = K(w \ v5,v5 \ w). K(x \ y,L(y \ x,z,u)) = K(x \ y,y \ 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). 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). x * y != L(z,u,w) * K(v5,L(z,u,w)) | L(z * K(v5,z),u,w) / y = x. L(x * K(y,x),z,u) / L(x,z,u) = K(y,L(x,z,u)). L(x * K(y,x),z,u) / L(x,z,u) != w | K(y,L(x,z,u)) = w. x * y != T(x,z) | y = K(x,z). K(x,y \ x) = K(x,x / y). K(x,x / y) = K(x,y \ x). K(x,x / (x / y)) = K(x,y). K(x,y) = K(x,(y \ x) \ x). K(x,(y \ x) \ x) = K(x,y). K(x,T(y,y \ x)) = K(x,y). x * y != z * K(u * z,z) | (u \ T(u * z,z)) / y = x. (x \ T(x * y,y)) / y = K(x * y,y). x \ T(x * y,y) != y * z | K(x * y,y) = z. ((x * y) / x) * z = K(x,y) * (y * z). K(x,y) * (y * z) = ((x * y) / x) * z. (x / y) * ((y \ x) \ z) = K(y,y \ x) * z. x * (K(y,x) * z) = ((y * x) / y) * z. ((x * y) / x) * z = y * (K(x,y) * z). (x / (x / y)) * (y \ z) = K(y \ x,y) * z. (x / y) * z = (y \ x) * (K(y,y \ x) * z). (x \ y) * (K(x,x \ y) * z) = (y / x) * z. (x * (K(y * z,x) * y)) * z = (y * z) * R(x,y,z). (x / (x / y)) * z = y * (K(y \ x,y) * z). (x * K(y,x)) * z = x * (K(y,x) * z). ((x * y) / x) * (x * z) = y * (T(x,y) * z). R(x,K(y,x),z) = x. L(x,K(y,z),z) = x. x != y * (K(z,y) * u) | x = K(z,y) * (y * u). (x * K(y,x)) * z = K(y,x) * (x * z). (x * (K(y,x) * z)) \ ((x * K(y,x)) * (z * u)) = L(u,z,x * K(y,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). T(x * K(y \ x,x),y \ 1) = R(x,y \ 1,x). 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) * (K(y,z) * T(y,x)) = T(y,z). K(x,y) * T(x,z) != K(x,z) * u | T(x,y) = u. (x \ y) * z != K(x \ y,x) * u | z = (y / x) \ u. K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z. x * (K(x,y) * T(z,x)) = K(x,y) * (z * x). x \ (K(x,y) * z) != u | u = K(x,y) * (x \ z). x \ (K(x,y) * z) != u | K(x,y) * (x \ z) = u. x * K((x \ (y * z)) \ 1,z) = y * ((z \ (y \ x)) * z). x \ (y * T(x,z)) != u | K(x,z) * T(y,T(x,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). x \ (((y \ (x / z)) * y) * z) != u | u = K((x \ (y * z)) \ 1,y). x \ (((y \ (x / z)) * y) * z) != u | K((x \ (y * z)) \ 1,y) = u. x * K(y \ 1,x) = y * ((x \ (y \ x)) * x). x * ((y \ (x \ y)) * y) = y * K(x \ 1,y). (x \ y) \ (y / x) = K(x,x \ y). T(x \ y,R(y / x,z,u)) = x \ y. (x \ y) * K(x,x \ y) != z | z = y / x. (x \ y) * K(x,x \ y) != z | y / x = z. K(x,x \ y) * (x \ y) != z | y / x = z. x * L(y,z,u) != L(T(y,y \ 1),z,u) | x = K(y,y \ 1). K(L(x,y,z),x \ 1) = K(x,x \ 1). T(x,y) * K(x * y,x) = R(x,y,x). x * y != T(z,u) * K(z * u,z) | x \ R(z,u,z) = y. x \ R(x,y,x) = K(x,y) * K(x * y,x). K(x,y) * K(x * y,x) = x \ R(x,y,x). x \ R(x,y,x) != z | K(x,y) * K(x * y,x) = z. x * y != z * (y * x) | K(x,y) = z. x * (y * z) != z * y | K(z,y) = x. K(L(x,y,z),z * y) * (z * (y * x)) = L(x,y,z) * (z * y). 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 | L(K(y,x),z,u) * w = v5. 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 * (y * ((z * (y \ (x \ 1))) / z)) = K(z,(x * y) \ 1). x * ((y * (x \ 1)) / y) = K(y,1 / x). x * y != K(z,u \ 1) | x \ K(z,1 / u) = y. x \ K(y,1 / x) = (y * (x \ 1)) / y. 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 * ((x * y) \ x)) / z) = x * K(z,y \ 1). (x * y) * ((z * ((x * y) \ y)) / z) = K(z,x \ 1) * y. K(x,R(y,z,u) \ 1) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. K(x,y \ 1) * (y \ z) = z * ((x * (z \ (y \ z))) / x). x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y). ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * K(z,y \ 1). x * (y * ((z * (y \ (x \ y))) / z)) = K(z,x \ 1) * y. K(x,R(y,z,u) \ 1) * (z * u) = (K(x,y \ 1) * z) * u. K(x,R(y,z,u) \ 1) = R(K(x,y \ 1),z,u). R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). x * (y * z) != (K(y,u) * y) * z | x = K(y,u). K(x,R(y,x,z) \ 1) = K(x,y \ 1). x * (y * z) != (K(u,u \ 1) * y) * z | x = K(u,u \ 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). 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)). R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)). R(K(x,y / (z / u)),y,u) = K(x,(y * u) / z). R(K(x,y),z,u) = K(x,(z * u) / ((y \ z) * u)). K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z). K(x,R(y,y \ z,u)) = R(K(x,y),z,u). K(x,y) = R(K(x,y),T(y,z),u). R(K(x,y),T(y,z),u) = K(x,y). 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(y,T(z,y),u)) = R(K(x,y),z * y,u). R(K(x,y),z * y,u) = K(x,R(y,T(z,y),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 * y,x) = K(x * y,R(x,y,z)). K(x * y,R(x,y,z)) = K(x * y,x). T(K(x,R(y,z,u)),w) = R(T(K(x,y),w),y * z,u). R(T(K(x,y),z),y * u,w) = T(K(x,R(y,u,w)),z). R(K(x,y),K(z,y) * u,w) = K(x,R(y,T(y,z) \ u,w)). K(x,R(y,z,u)) * ((y * z) * u) = (y * (K(x,y) * z)) * u. (1 / (1 / x)) \ K(y,x) = 1 / T(x,y). x / T(x,y) = K(y * K(z,z \ 1),x). K(x * K(y,y \ 1),z) = z / T(z,x). L(T(x,y),T(z,x),z / T(z,x)) * z = K(x,z) * (T(x,y) * T(z,x)). x != y / T(y,z) | x = K(z,y). K(x * K(y,y \ 1),z) = K(x,z). K(x * K(y \ 1,y),z) = K(x,z). K(K(x,x \ 1) * y,z) = K(y,z). K(x * y,z) = K(x * (1 / (1 / y)),z). K(x * (1 / (1 / y)),z) = K(x * y,z). K(x,y) = K(K(z \ 1,z) * x,y). K(K(x \ 1,x) * y,z) = K(y,z). K(x * (1 / y),z) = K(x * (y \ 1),z). K((x \ 1) \ y,z) = K((1 / x) \ y,z). K((1 / x) \ y,z) = K((x \ 1) \ y,z). K((1 / x) * y,z) = K((x \ 1) * y,z). K(x \ y,z) = K(((x \ 1) \ 1) \ y,z). K(((x \ 1) \ 1) \ y,z) = K(x \ y,z). K(x / (y \ 1),z) = K(x / (1 / y),z). K(x / (1 / y),z) = K(x / (y \ 1),z). K(x \ (y * K(z,z \ 1)),u) = K(x \ y,u). K(x \ (K(y,y \ 1) * z),u) = K(x \ z,u). x != K((1 / y) \ z,z) | x = K(z * y,z). K((x \ 1) \ y,y) = K(y * x,y). (T(x,y) * z) \ (T(x,y) * (z * u)) = L(L(u,z,x),x * z,K(x,y)). L(L(x,y,z),z * y,K(z,u)) = (T(z,u) * y) \ (T(z,u) * (y * x)). L(L(x,y,z),z * y,K(z,u)) = L(x,y,T(z,u)). L(L(x,y,z),z * y,K(z,u)) != w | L(x,y,T(z,u)) = w. 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. T(x,y) * T((x / K(y,x)) \ z,x) = ((x \ (z * K(y,x))) * x) / K(y,x). ((x \ (y * K(z,x))) * x) / K(z,x) = T(x,z) * T((x / K(z,x)) \ y,x). (1 / (1 / x)) / K(y,x) = T(1 / (1 / x),y). x != 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). x != K(y \ (y / z),y) \ y | x = T(y,z \ 1). T(x,x \ (x / y)) = T(x,y \ 1). K(x \ y,x) * R(T(x,x \ y),z,u) = y \ ((R(x,z,u) * (x \ y)) * x). K(x \ 1,y) != z | x * T(x \ 1,y) = z. (x * K(y,x)) \ x = K(x,y). L(T(x,y),T(x,y) \ 1,z) = (z * (K(y,x) / x)) \ z. (K(x,y) / y) * L(T(y,x),z,u) = T(y,x) \ L(T(y,x),z,u). x \ K(x \ y,x) = ((x \ y) \ y) \ 1. ((x \ y) \ y) \ 1 = x \ K(x \ y,x). 1 / (x \ K(y,x)) != z | z = T(x,y). 1 / (x \ K(y,x)) != z | T(x,y) = z. (x * T(y,z)) * (y \ K(z,y)) = R(x,T(y,z),T(y,z) \ 1). T(x,y) * L(x \ K(y,x),z,u) = T(x * L(x \ 1,z,u),y). T(x,y) * (x \ K(z,x)) = T(x,z) \ T(x,y). K(x,y) * K(y \ 1,y) = (T(y,x) \ 1) * y. K(a(x,y,z),x * (y * z)) * (((x * y) * z) / (x * (y * z))) = a(x,y,z). x * ((y * z) / y) != u | x * (z * K(y,z)) = u. K(x,y) * K(x \ 1,x) = (x \ 1) * T(x,y). (x * T(y,z)) \ (x * K(y,z)) != u | L(y \ 1,T(y,z),x) = u. T(K(x,y),x) != z | K(x,y) = z. ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(y,(x * z) / x). x * K(y,x) != z | z = (y * x) / y. x * K(y,x) != z | (y * x) / y = z. x * (y * K(z,y)) != u | x * ((z * y) / z) = u. x * (T(x,y) \ K(z,x)) != u | T(x,y) \ ((z * x) / 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(x * y,x \ (1 / y)) / (((x * y) \ 1) \ 1) = 1 / (x * y). x != K(y,z / u) | x = K(y,(u / z) \ 1). K(x,x \ y) = K(x,(x / y) \ 1). K(x,(x / y) \ 1) = K(x,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 \ u) / u) | x = K(y,z \ 1). K(x,x \ (y \ x)) = K(x,y \ 1). x * K(y,y \ x) = y * (x / y). K(x,x \ y) \ 1 = K(y / x,x). x != K(y / z,z) | x = (z * (y / z)) \ y. K(x \ y,x) = (x * (y / x)) \ y. (x * (y / x)) \ y = K(x \ y,x). x * K(x / y,y) = (y \ x) * y. L(x * K(y,x),K(x,y),z) = (z * K(x,y)) \ (z * x). x * y != z / ((u * z) / u) | K(z,u) / y = x. K(x,y) / x = 1 / ((y * x) / y). K(x,y) * z != u | u = K(y,x) \ z. K(x,y) * z != u | K(y,x) \ z = u. L(x,y,z) / L(x * K(u,x),y,z) = K(L(x,y,z),u). K(x * y,T(x,y)) = K(x * y,x). K(x \ y,T(y,x \ 1)) = K(x \ y,y). T(x * K(y,x),z) \ T(x,z) = K(T(x,z),y). L(x * K(y,x),z,u) \ L(x,z,u) = K(L(x,z,u),y). K(x * K(y,y \ 1),z) != u | K(x,z) = u. x * (y / x) != y * z | K(x,x \ y) = z. (x * (y / x)) \ (y * (K(x,x \ y) * z)) = L(z,K(x,x \ y),y). R(x,x \ y,K(z,z \ y)) \ (z * (y / z)) = (x \ y) * K(z,z \ y). (x * (y / x)) \ (y * z) = L(K(x \ y,x) * z,K(x,x \ y),y). L(K(x \ y,x) * z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). ((x * y) / x) * z != u | y * (K(x,y) * z) = u. (x * K(y,x)) * z != K(y,x) * (x * u) | z = L(u,x,K(y,x)). x = L(x,y,K(z,y)). L(x,y,K(z,y)) = x. (x * K(y,x)) * K(x,z) = K(y,x) * T(x,z). K(x,y) * (y * z) != u | y * (K(x,y) * z) = u. K(x \ R(x,y,z),x) = (u \ K(u,R(u,w,v5) \ 1)) * u. K(x,y / (z * y)) = K(x,1 / z). x * K(y * x,y \ 1) = (y * x) * (x / (y * x)). (x * y) * (y / (x * y)) = y * K(x * y,x \ 1). ((x * y) \ y) * K(x * y,x \ 1) = y / (x * y). (x * y) * R(1 / x,x,y) = y * K(x * y,x \ 1). ((x * y) / x) \ (y * z) != u | K(y,x) * z = u. x \ (x / (x / y)) = (y * (x / y)) \ y. (x * (y / x)) \ x = y \ (y / (y / x)). x * ((y * (x / y)) \ y) = x / (x / y). (x / (x / y)) \ z = K(y,x / y) * (y \ z). (x / (x / y)) \ z = K(y,y \ x) * (y \ z). (x * K(y,x)) \ z = K(x,y) * (x \ z). ((x * (y / x)) / x) \ z = K(x \ y,x) * ((y / x) \ z). K(x \ y,x) * ((y / x) \ z) = ((x * (y / x)) / x) \ z. x != K(y,z) * (y \ u) | x = y \ (K(y,z) * u). (x * K(y,x)) \ z = x \ (K(x,y) * z). ((1 / x) * K(y,1 / x)) \ z = K(x \ 1,y) * ((1 / x) \ z). (x * K(y,x)) \ y = x \ (y * K(x,y)). (x * K(y,x)) \ z != u | K(x,y) * (x \ z) = u. x != K(y \ 1,z) | x = K(1 / y,z). (x * T(x \ y,z)) / y = K(1 / (x / y),z). (x * (y * T(y \ (x \ z),u))) / z = K(((x * y) / z) \ 1,u). (T(x,y) / z) / (x / z) = K(((1 / z) / (x / z)) \ 1,y). K(((1 / x) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). (x * (y * T(y \ z,u))) / (x * z) = K(((x * y) / (x * z)) \ 1,u). K((x / y) \ 1,z) != u | K(y / x,z) = u. K(x / y,z) = K(1 / (y / x),z). K(1 / (x / y),z) = K(y / x,z). K(x \ 1,y) != z | K(1 / x,y) = z. K(1 / (x / y),z) != u | K(y / x,z) = u. K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z. (x / y) \ (z * (y \ x)) = K(y \ x,y) * T(z,y \ x). K(x \ y,x) * T(z,x \ y) = (y / x) \ (z * (x \ y)). K(x \ y,x) * z = (y / x) \ ((x \ y) * z). (x / y) \ ((y \ x) * z) = K(y \ x,y) * z. K(x,y) * (x * z) != u | u = T(x,y) * z. K(x,y) * (x * z) != u | T(x,y) * z = u. K(x,y) * (T(y,z) * u) = (K(x,y) * T(y,z)) * u. (K(x,y) * T(y,z)) * u = K(x,y) * (T(y,z) * u). R(K(x,y),y,z) = K(x,y). 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 != 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(K(x,y) * (K(z,u) * w),K(y,x),K(u,z)) = (K(u,z) * K(y,x)) \ w. (x * (y * ((z * (y \ (x \ u))) / z))) / u = K(z,((x * y) / u) \ 1). T(x * ((y * (x \ z)) / y),z) / z = K(y,(T(x,z) / z) \ 1). (x * (y * ((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. 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)). x != (y * (z * ((y \ u) / z))) / u | x = K(z,u / (y * z)). K(x,y / ((z * x) * u)) = K(x,y / ((z * u) * x)). K(x,y / ((z * u) * x)) = K(x,y / ((z * x) * u)). K(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))). 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. K(x / y,z) * x != u | u = y * T(y \ x,z). K(x / y,z) * x != u | y * T(y \ x,z) = u. 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. (x * y) / (x * (K(z,u) * y)) != w | w = K(u,(x * y) / (x * (z \ y))). (x * y) / (x * (K(z,u) * y)) != w | K(u,(x * y) / (x * (z \ y))) = w. K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w. (x * (K(y,z) * u)) / (x * u) = K((x * u) / (x * (y \ u)),z). K(x * y,x) * K(x,y) = x \ R(x,y,x). x \ R(x,y,x) != z | K(x * y,x) * K(x,y) = z. 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). K(x \ y,y) * K(y,x \ 1) = y \ R(y,x \ 1,y). K(x \ 1,x) * K(y,x) = (T(x,y) \ 1) * x. K(x,y \ z) * K(z \ y,y \ z) = (T(y \ z,x) \ 1) * (y \ z). T(x,x * y) * K(y,x) = L(x,y,x). 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). x != R(K(y,z),z,u) | x = K(y,z). K(R(x,y,z) \ 1,y) = K(x \ 1,y). x != R(K(y,z),z * u,w) | x = K(y,R(z,u,w)). K(R(x,y * z,u) \ 1,y) = K(x \ 1,R(y,z,u)). R(K(x,y),z,u) = K(R(1 / x,z,u) \ 1,y). K(R(1 / x,y,z) \ 1,u) = R(K(x,u),y,z). 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. R(R(K(x,y),z,u),w,v5) = K(R(R(1 / x,z,u),w,v5) \ 1,y). K(R(R(1 / x,y,z),u,w) \ 1,v5) = R(R(K(x,v5),y,z),u,w). K((((x \ y) * z) / (y * z)) \ 1,u) = R(R(K(x,u),x,x \ y),y,z). R(R(K(x,y),x,x \ z),z,u) = K((((x \ z) * u) / (z * u)) \ 1,y). R(K(x,y),z,u) = K((((x \ z) * u) / (z * u)) \ 1,y). K((((x \ y) * z) / (y * z)) \ 1,u) = R(K(x,u),y,z). K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y). K((x * y) / (z * y),u) = R(K(x / z,u),x,y). R(K(x / y,z),x,u) = K((x * u) / (y * u),z). K(R(x,x \ y,z),u) = R(K(x,u),y,z). x != R(y,1,z) | x = y. K(R(x,x \ 1,y),z) = K(x,z). K(R(x,y,z),u) = R(K(x,u),x * y,z). R(K(x,y),x * z,u) = K(R(x,z,u),y). K(R(x,x \ y,z),u) * (y * z) = (K(x,u) * y) * z. K(R(x,K(x,y) * (x \ z),u),w) = R(K(x,w),K(x,y) * z,u). x != R(K(y,y \ 1),z,u) | x = K(y,y \ 1). K(R(x,y,z),x \ 1) = K(x,x \ 1). R(K(R(x,y,z),u),w,v5) = R(R(K(x,u),w,v5),x * y,z). R(R(K(x,y),z,u),x * w,v5) = R(K(R(x,w,v5),y),z,u). x != K(R(y,z,u),y \ 1) | x = R(y,z,u) * (1 / R(y,z,u)). K(x,x \ 1) = R(x,y,z) * (1 / R(x,y,z)). R(x,y,z) * (1 / R(x,y,z)) = K(x,x \ 1). x * y != K(R(z,u,w),z \ 1) | x \ K(z,z \ 1) = y. R(x,y,z) \ K(x,x \ 1) = 1 / R(x,y,z). (1 / R(x,y,z)) * x = (R(x,y,z) \ 1) * ((x \ 1) \ 1). (R(x,y,z) \ 1) * ((x \ 1) \ 1) = (1 / R(x,y,z)) * x. T(K(x,y \ 1),z) = K(x,T(y,z) \ 1). T(K(x,y),z) = K(x,T(1 / y,z) \ 1). K(x,T(1 / y,z) \ 1) = T(K(x,y),z). x * K(y,T(z,x) \ 1) = K(y,z \ 1) * x. T(K(x,y),z) = K(x,T(y \ 1,z) \ 1). K(x,T(y \ 1,z) \ 1) = T(K(x,y),z). x * T(K(x,y \ 1),z) != u | T(x,T(y,z) \ 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) * 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 \ 1),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(((1 / x) / (y / x)) \ 1,z) * (y / x) = T(y,z) / x. K(((x \ 1) / (x \ y)) \ 1,z) * (x \ y) = x \ T(y,z). K((x / (x * y)) \ 1,z) * (x * y) = x * T(y,z). x / (y * T(y \ x,z)) = K(z,(y / x) \ 1). x * R(K(x,y),z,u) = T(x,R(y \ 1,z,u) \ 1). T(x,R(y \ 1,z,u) \ 1) = x * R(K(x,y),z,u). R(K(x,y),z,u) * w = R(K(y,x),z,u) \ w. R(K(x,y),z,u) \ w = R(K(y,x),z,u) * w. R(K(x,y),z,u) \ 1 = R(K(y,x),z,u). (x * y) / ((K(z,u) * x) * y) = R(K(u,z),x,y). R(K(x,y),z,u) \ (z * u) = (K(y,x) * z) * u. R(K(x,y),z,u) \ 1 != w | 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,(K(y,x) * z) \ 1) = z * ((K(y,x) * z) \ 1). ((x \ 1) * y) / ((x \ K(x,z)) * y) = R(K(z,x),x \ 1,y). K(x / y,y) != z | K(y \ x,y) = z. R(K(x / (y / z),u),x,z) = K((x * z) / y,u). K((x * y) / z,x) = K(x / (z / y),x). (x \ y) * T(x,y) = K(x,y) * ((x \ y) * x). K(x,y) * ((x \ y) * x) = (x \ y) * T(x,y). (K(x,y) * ((T(x,y) \ z) * x)) / T(x,y) != u | T(z / T(x,y),x) = u. K(x,y) * ((x \ y) * x) != (x \ y) * z | T(x,y) = z. R(x / (y \ z),y \ z,T(y,z)) = (x * T(y,z)) / (K(y,z) * ((y \ z) * y)). (x * T(y,z)) / (K(y,z) * ((y \ z) * y)) = R(x / (y \ z),y \ z,T(y,z)). K(x,x \ y) * (((x \ y) \ y) \ z) = x \ z. T(x,K(y,x) * z) = L(T(x,z),z,K(y,x)). L(T(x,y),y,K(z,x)) = T(x,K(z,x) * y). L(T(x,y),y,K(z,x)) != u | T(x,K(z,x) * y) = u. K(x,(1 / x) * (y * x)) = K(x,L(y,x,x \ 1)). K(x,y \ 1) * (y \ x) = x * ((y \ x) / x). K(x,y) * ((x \ 1) \ y) != z | (y \ ((x \ 1) \ y)) * y = z. K(x,y) * (z * x) != u | T(x,y) * T(z,x) = u. 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). R(x,y,z) \ R(x * K(u,x),y,z) = K(u,R(x,y,z)). R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y). x * (K(y,x \ 1) * (x \ z)) = K(y,x \ 1) * z. x * (K(y,x \ 1) * z) = K(y,x \ 1) * (x * z). K(x,y \ 1) * (y * z) = y * (K(x,y \ 1) * z). x \ (K(y,x \ 1) * z) != u | u = K(y,x \ 1) * (x \ z). x \ (K(y,x \ 1) * z) != u | K(y,x \ 1) * (x \ z) = u. x * y != z * (u * T(u \ (z \ u),w)) | x \ (K(z \ 1,w) * u) = y. (x * y) \ (K(x \ 1,z) * y) = T((x * y) \ y,z). x * (y \ T(y * (x \ (y \ 1)),z)) = K(x \ 1,z) * (y \ 1). x * (K(x \ 1,y) * (x \ z)) = K(x \ 1,y) * z. (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K((x \ 1) \ 1,y) * z. (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K(x,y) * z. (x \ 1) * (K(x,y) * z) = K(x,y) * ((x \ 1) * z). K(x,y) * ((x \ 1) * z) = (x \ 1) * (K(x,y) * z). (x \ 1) * (K(x,y) * T(z,x \ 1)) = K(x,y) * (z * (x \ 1)). K(x,y) * ((x \ 1) * T(z,K(x,y))) = (x \ 1) * (z * K(x,y)). x * (K(x,y) * ((x \ 1) * z)) != u | L(K(x,y) * z,x \ 1,x) = u. ((x \ 1) * y) / ((x \ 1) * (K(x,z) * y)) = K(z,x). L(K(x,y) * z,x \ 1,x) = T(x,y) * ((x \ 1) * z). L(x,y \ 1,y) = T(y,z) * ((y \ 1) * (K(z,y) * x)). T(x,y) * ((x \ 1) * (K(y,x) * z)) = L(z,x \ 1,x). ((x \ 1) * (K(y,x) * z)) / ((x \ 1) * z) = K(y,x). K(x,y) * ((y \ 1) * z) = (y \ 1) * (K(x,y) * z). x != ((y * z) * u) / (y * u) | x = R(z * K(y,z),y,u). x * K(y * L(x,z,u),x) = R(x * K(y,x),y,L(x,z,u)). R(x * K(y,x),y,L(x,z,u)) = x * K(y * L(x,z,u),x). T(x * K(y * L(x,z,u),x),y) = R(x,y,L(x,z,u)). (x * (y * K(z * L(y,u,w),y))) / (y * K(z,y)) = (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)). (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = (x * (y * K(z * L(y,u,w),y))) / (y * K(z,y)). x != T(y * K(z,y),u) | x = T(y,u) * K(z,T(y,u)). R(x,y,L(x,z,u)) = T(x,y) * K(y * L(x,z,u),T(x,y)). T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)). K((K(x,x \ 1) * y) \ z,u) = K(y \ z,u). K((x * (K(y,y \ 1) * z)) \ u,w) = K((x * z) \ u,w). K(x \ (y \ 1),z) = K(x \ (1 / y),z). K(x \ (1 / y),z) = K(x \ (y \ 1),z). K((x * ((y \ 1) \ 1)) \ z,u) = K((x * y) \ z,u). K((x * (1 / y)) \ z,u) = K((x * (y \ 1)) \ z,u). K(((1 / x) * y) \ z,u) = K(((x \ 1) * y) \ z,u). K((x * (y * (1 / z))) \ u,w) = K((x * (y * (z \ 1))) \ u,w). 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 / 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 != K(y / z,z) | x = K(z \ y,z). K(x / y,x / (x / y)) = K(y \ x,y). x != K(y,z / y) | x = K(y,y \ z). K(x \ y,x) = K(y / x,(y / x) \ y). K(x / y,(x / y) \ x) = K(y \ x,y). K(x,y) * K(z,x) = T(x,z) \ T(x,y). T(x,y) \ T(x,z) = K(x,z) * K(y,x). T(x,y) \ T(x,z) != u | K(x,z) * K(y,x) = u. 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. K(x,y) * z != u | y * (T(y,x) \ z) = u. ((1 / x) * y) * T(((1 / x) * y) \ y,z) = K(x,z) * y. ((x * K(y,x)) \ ((y * (x * y)) / y)) \ ((y * (x * y)) / y) = x. 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) \ 1) != z | K(x,y) = z. K(x,y \ 1) != z | K(x,1 / y) = z. K(x,T(y,y \ 1)) != z | K(x,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. K(x,T(y / z,z / y)) != u | K(x,y / z) = u. K(((x \ 1) \ 1) \ y,(z \ 1) \ 1) != u | K(x \ y,z) = u. K(((x \ 1) \ 1) \ y,z) != u | K(x \ y,z) = u. K((x \ 1) \ y,z) != u | K((1 / x) \ y,z) = u. K(T((x \ 1) \ 1,y) \ z,u) != w | K(T(x,y) \ z,u) = w. T(K(x \ 1,y),z) = K(T(x,z) \ 1,y). T(K(x,y),z) = K(T(1 / x,z) \ 1,y). K(T(1 / x,y) \ 1,z) = T(K(x,z),y). K(T(x \ 1,y) \ 1,z) = T(K(x,z),y). K(1 / T(x,y),z) = T(K(1 / x,z),y). T(K(1 / x,y),z) = K(1 / T(x,z),y). L(T(K(x,y),z),u,w) = K(L(T(1 / x,z),u,w) \ 1,y). K(L(T(1 / x,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). R(x,y,z) * (x * (((u * R(x,y,z)) / u) \ 1)) = x * K(R(x,y,z),u). R(x,y,z) * (x * (R((u * x) / u,y,z) \ 1)) = x * K(R(x,y,z),u). R(x,y,z) * (R((u * x) / u,y,z) \ x) = x * K(R(x,y,z),u). x * (K(x,y) * z) != u | u = T(x,y) * z. x * (K(x,y) * z) != u | T(x,y) * z = u. ((x \ y) * z) \ ((x \ y) * (z * u)) = L(L(u,z,y / x),(y / x) * z,K(x \ y,x)). L(L(x,y,z / u),(z / u) * y,K(u \ z,u)) = ((u \ z) * y) \ ((u \ z) * (y * x)). L(L(x,y,z / u),(z / u) * y,K(u \ z,u)) != w | L(x,y,u \ z) = w. T((x / (y * K(z,y))) * y,(z * y) / z) != u | ((z * y) / z) \ (x * y) = u. x \ y != K(x,z) * u | T(x,z) \ y = u. L(L(L(x \ 1,y * x,K(z,u)),x,y),K(z,u) * (y * x),K(u,z)) = (K(u,z) * (K(z,u) * (y * x))) \ y. (x * K(x \ y,x)) * (y / x) = y. (x / y) * (y * K(y \ x,y)) = (y \ x) * y. x * (y * K((y \ (x \ 1)) \ 1,z)) = T(x * y,z). K(x,y) * (z * K((z \ K(y,x)) \ 1,u)) = T(K(x,y) * z,u). K(x,y) * (K(y,x) * T(K(y,x) \ z,u)) = T(K(x,y) * z,u). K(x,y) * (T(z,u) * K(y,x)) = T(K(x,y) * (z * K(y,x)),u). T(x,y) = R(T(x,y * K(x \ 1,z)),y,K(x \ 1,z)). R(T(x,y * K(x \ 1,z)),y,K(x \ 1,z)) = T(x,y). ((x / y) * (y * K(y \ x,y))) * (x / y) = x * (y \ x). x * y != K(z,z \ u) * ((z \ u) * w) | x \ ((u / z) * w) = y. (x \ y) \ ((y / x) * z) = K(x,x \ y) * z. (x \ y) * (K(x,x \ y) * z) != u | u = (y / x) * z. (x \ y) * (K(x,x \ y) * z) != u | (y / x) * z = u. (x \ y) * (T(x,x \ y) * z) != u | (y / x) * (x * z) = u. (x / y) * (y * z) = (y \ x) * (T(y,y \ x) * z). (x \ y) * (T(x,x \ y) * z) = (y / x) * (x * z). (x \ y) * (T(x,x \ y) * z) != u * w | u \ ((y / x) * (x * z)) = w. ((x / y) * (y * z)) \ (x * z) = a(y \ x,(y \ x) \ x,z). a(x \ y,(x \ y) \ y,z) = ((y / x) * (x * z)) \ (y * z). x != y \ T(y,z) | x = K(y,z). 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,K(y,y \ 1) * z) = K(x,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,(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,T(y,y \ 1) * z) = K(x,y * z). K(x,y \ z) = K(x,((y \ 1) \ 1) \ z). K(x,((y \ 1) \ 1) \ z) = K(x,y \ z). K(x,y / (z \ 1)) = K(x,y / (1 / 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,y \ (K(z,z \ 1) * u)) = K(x,y \ u). K(x,(K(y \ 1,y) * z) \ u) = K(x,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). K(x,(K(y,y \ 1) * z) \ u) = K(x,z \ u). K(x,(y * (z \ 1)) \ u) = K(x,(y * (1 / z)) \ u). K(x,(y * (1 / z)) \ u) = K(x,(y * (z \ 1)) \ u). R(K(x,(y / z) \ x),x,z) = K(x,(x * z) / y). K(x,(y / z) \ x) = K(x,(x * z) / y). K(x,(x * y) / z) = K(x,(z / y) \ x). R(K(x,(y / z) \ x),x,z) = K(x,(y / (x * z)) \ 1). K(x,(x * y) / z) != u | K(x,(z / y) \ x) = u. K(x,(x / L(y,z,u)) * y) = K(x,(L(y,z,u) / y) \ x). K(x,(L(y,z,u) / y) \ x) = K(x,(x / L(y,z,u)) * y). K(x,(y \ L(y,z,u)) \ x) = K(x,(x / L(y,z,u)) * y). 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)) != u | u = R(x,y,z) \ x. (1 / x) \ (1 / R(x,y,z)) != u | R(x,y,z) \ x = u. R(x,y,z) \ x = (x \ R(x,y,z)) \ 1. (x \ R(x,y,z)) \ 1 = R(x,y,z) \ x. 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 != 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). (R(x,y,z) * u) / (R(T(x,w),y,z) * u) != v5 | K(w,R(x,y,z)) = v5. (R(x,y,z) * u) / (R(T(x,w),y,z) * u) = K(w,R(x,y,z)). K(x \ L((x \ y) \ y,z,u),x) = 1. K(x,y) \ T(K(x,y) * z,u) = K(y,x) * T(K(y,x) \ z,u). L(T(x,y),T(z,x),K(x,z)) * z = K(x,z) * (T(x,y) * T(z,x)). x != y | x = L(y,K(z,u),u). L(x,y,K(z,y)) = L(x,K(u,w),w). L(x,K(y,z),z) = L(x,u,K(w,u)). L(x,T(y,z),K(z,y)) = x. T(x,y) * z = K(x,z) * (T(x,y) * T(z,x)). K(x,y) * (T(x,z) * T(y,x)) = T(x,z) * y. K(x,y) * (K(x,z) * (y * x)) = T(x,z) * y. T(x / (x / y),z) \ y = K(x / (x / y),y \ x) * K(z,x / (x / y)). K(x / (x / y),y \ x) * K(z,x / (x / y)) = T(x / (x / y),z) \ y. K(x,x \ y) * K(z,y / (y / x)) = T(y / (y / x),z) \ x. K((x * (y \ 1)) \ 1,z) = (x * T(x \ y,z)) * (y \ 1). (x * T(x \ y,z)) * (y \ 1) = K((x * (y \ 1)) \ 1,z). K((x * y) \ 1,y) = x * ((y \ (x \ 1)) * y). x * ((y \ (x \ 1)) * y) = K((x * y) \ 1,y). (x * K((x \ y) \ 1,z)) * (x \ 1) = K((y * (x \ 1)) \ 1,z). K((x * ((1 / y) \ 1)) \ 1,z) / y = (1 / y) * K(((1 / y) \ x) \ 1,z). K((x * y) \ 1,z) / y = (1 / y) * K(((1 / y) \ x) \ 1,z). (1 / x) * K(((1 / x) \ y) \ 1,z) = K((y * x) \ 1,z) / x. 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). x * (y \ K((y * (x \ 1)) \ 1,z)) = T(x * (y \ 1),z). x * (y \ T(y * (x \ 1),z)) = K((x * (y \ 1)) \ 1,z). (1 / x) * (y \ T(y * x,z)) = K(((1 / x) * (y \ 1)) \ 1,z). K(((1 / x) * (y \ 1)) \ 1,z) = (1 / x) * (y \ T(y * x,z)). 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 != 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)) \ 1,z). K(((x \ 1) * (y \ 1)) \ 1,z) = (1 / x) * (y \ T(y * x,z)). K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = (1 / (x \ y)) * (x \ T(y,z)). x != K(y / z,u) | x = K((z / y) \ 1,u). (T(x,y) / z) / (x / z) = K(((z \ 1) / (x / z)) \ 1,y). K(((x \ 1) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). K(x,K(y,1 / y) * z) = K(x,z). K(x,y * (K(z,z \ 1) * u)) = K(x,y * u). K(x,y * (z * (1 / u))) = K(x,y * (z * (u \ 1))). K(x,T(y * K(z,z \ 1),u)) = K(x,T(y,u)). K(x,y * ((z \ 1) \ u)) = K(x,y * ((1 / z) \ u)). K(x,y * ((1 / z) \ u)) = K(x,y * ((z \ 1) \ u)). K(x,T((1 / y) * z,u)) = K(x,T((y \ 1) * z,u)). K(x,T(K(y \ z,y),u)) = K(x,T((z \ 1) * ((y \ z) * y),u)). K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,T(K(z \ y,z),u)). x * y != z * (T(u,w) / z) | T(z * (u / z),w) / y = x. T(x * (y / x),z) / T(y,z) = K(x,x \ T(y,z)). (x * (y / x)) \ (K(x,x \ y) * (y * z)) != u | L(z,y,K(x,x \ y)) = u. K(x,(x \ 1) * y) * y = x * (y / x). 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(z * T(z \ x,x),y) = K((x \ z) \ 1,T(x,y)). T(x,y) \ T(z / (z / x),y) = K(x \ z,T(x,y)). (1 / R(x,y,z)) * K(R(x,y,z) \ 1,x) = ((1 / R(x,y,z)) * x) * (x \ 1). 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 != (y * z) \ ((y * z) / y) | x = L(y \ 1,T(y,z),z). L(x \ 1,x,y) = L(x \ 1,T(x,y),y). L(x \ 1,T(x,y),y) = L(x \ 1,x,y). T(x * L(x \ 1,x,y),y) = T(x,y) * ((x * y) \ y). L(T(x,y) \ 1,x,y) = (x * y) \ y. x != L(T(y,z) \ 1,y,z) | x = (z * y) \ T(z,y). (x * y) \ y = (y * x) \ T(y,x). (x * y) \ T(x,y) = (y * x) \ x. x \ T(y,y \ x) = ((y \ x) * y) \ y. ((x \ y) * x) \ x = y \ T(x,x \ y). (x * y) * ((y * x) \ x) = T(x,y). x \ T(x / y,y) = (y * (x / y)) \ (x / y). (x * (y / x)) \ (y / x) = y \ T(y / x,x). T(x,y) / ((y * x) \ x) = x * y. ((x * y) \ y) * R(((y * x) \ T(y,x)) \ 1,z,u) = (y * x) \ (T(y,x) * R(T(y,x) \ (y * x),z,u)). (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = ((y * x) \ x) * R(((x * y) \ T(x,y)) \ 1,z,u). K(x \ 1,y) = K(x \ ((z \ 1) * z),y). K(x \ ((y \ 1) * y),z) = K(x \ 1,z). K(x \ (y * ((z \ 1) \ 1)),u) = K(x \ (y * z),u). K(x \ (y * (1 / z)),u) = K(x \ (y * (z \ 1)),u). K(x \ (y * (((y \ z) \ 1) \ 1)),u) = K(x \ z,u). x != K(y,z / ((u * y) * w)) | x = K(y,z / ((u * w) * y)). K(x,1 / (y * x)) = K(x,z / ((y * z) * x)). K(x,y / ((z * y) * x)) = K(x,1 / (z * x)). x != L(y,z,u) \ K(y,L(y,w,v5) \ 1) | x = 1 / L(y,z,u). (1 / x) * (L(x,y,z) \ x) = 1 / L(x,y,z). x * y != (1 / z) * (L(z,u,w) \ z) | x \ (1 / L(z,u,w)) = y. x \ (1 / L(x \ 1,y,z)) = L(x \ 1,y,z) \ (x \ 1). L(x \ 1,y,z) \ (x \ 1) = x \ (1 / L(x \ 1,y,z)). T(1 / L(x,y,z),x) = (1 / x) * ((L(x,y,z) \ 1) * x). (1 / x) * ((L(x,y,z) \ 1) * x) = T(1 / L(x,y,z),x). x * y != (1 / z) * ((L(z,u,w) \ 1) * z) | x \ T(1 / L(z,u,w),z) = y. (x \ 1) \ T(1 / L(x,y,z),x) = (L(x,y,z) \ 1) * T(x,x \ 1). (x \ 1) \ (L(x,y,z) \ 1) = (L(x,y,z) \ 1) * T(x,x \ 1). (L(x,y,z) \ 1) * T(x,x \ 1) = (x \ 1) \ (L(x,y,z) \ 1). x != (L(y,z,u) \ 1) * T(y,y \ 1) | x = L(y,z,u) \ 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). (x \ 1) * (L(x,y,z) \ x) = L(x,y,z) \ 1. x * (K(x \ 1,y) * z) = K(x \ 1,y) * (x * z). K(x \ 1,y) * (x * z) = x * (K(x \ 1,y) * z). (1 / x) * (K(x,y) * ((1 / x) \ z)) = K((1 / x) \ 1,y) * z. (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). (K(x,y) * ((1 / x) * z)) / (K(x,y) * z) = 1 / x. x * y != (1 / z) * (K(z,u) * w) | T(x,y) = y \ (K(z,u) * ((1 / z) * w)). T(1 / x,K(x,y) * z) = (K(x,y) * z) \ (K(x,y) * ((1 / x) * z)). (K(x,y) * z) \ (K(x,y) * ((1 / x) * z)) = T(1 / x,K(x,y) * z). L(T(1 / x,y),y,K(x,z)) = T(1 / x,K(x,z) * y). K(T(1 / x,K(x,y) * z) \ 1,u) = L(T(K(x,u),z),z,K(x,y)). L(T(K(x,y),z),z,K(x,u)) = K(T(1 / x,K(x,u) * z) \ 1,y). x != K(T(1 / y,z) \ 1,u) | 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). 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(y,z),u,w) * v5) = L(K(y,z),u,w) * (K(x,y) * v5). L(K(x,y),z,u) * (K(w,x) * v5) = K(w,x) * (L(K(x,y),z,u) * v5). x != L(y,z,u) * L(L(y,z,u) \ 1,w,v5) | x = L(y * L(y \ 1,w,v5),z,u). K(x,y) * (L(K(x,z),u,w) * (K(y,x) * L(L(K(x,z),u,w) \ 1,v5,v6))) = L(K(x,z) * L(K(x,z) \ 1,v5,v6),u,w). K(x,y) * (L(K(y,z),u,w) * v5) != v6 | v6 = L(K(y,z),u,w) * (K(x,y) * v5). K(x,y) * (L(K(y,z),u,w) * v5) != v6 | L(K(y,z),u,w) * (K(x,y) * v5) = v6. K(x,y) * (L(K(x,z),u,w) * (K(y,x) * v5)) != v6 | v6 = L(K(x,z),u,w) * v5. K(x,y) * (L(K(x,z),u,w) * (K(y,x) * v5)) != v6 | L(K(x,z),u,w) * v5 = v6. 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). x / (((x \ 1) \ 1) * y) = (1 / (1 / x)) / (x * y). (1 / (1 / x)) / (x * y) = x / (((x \ 1) \ 1) * y). (1 / (1 / x)) / (x * (T(x,y) \ 1)) = x / (T(x,y) \ ((x \ 1) \ 1)). (1 / (1 / x)) / K(y,x) = x / (T(x,y) \ ((x \ 1) \ 1)). x / (T(x,y) \ ((x \ 1) \ 1)) = (1 / (1 / x)) / K(y,x). x != (1 / (1 / y)) / K(z,y) | 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)). (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = ((y * x) \ x) * R(((y * x) \ x) \ 1,z,u). x != (y \ z) * R((y \ z) \ 1,u,w) | x = y \ (z * R(z \ y,u,w)). (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = (y * x) \ (x * R(x \ (y * x),z,u)). (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = (y * x) \ (x * R(T(y,x),z,u)). (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = (y * x) \ (R(y,z,u) * x). (x * y) \ (T(x,y) * R(T(y,x),z,u)) = (y * x) \ (R(y,z,u) * x). (x * y) \ (R(y,z,u) * T(x,y)) = (y * x) \ (R(y,z,u) * x). ((x * y) * z) \ (R(z,x,y) * T(x * y,z)) = (z * (x * y)) \ ((z * x) * y). (L(x,y,z) \ u) / (L(T(x,w),y,z) \ u) = K(L(x,y,z),w). K(x,R(R(y,x,z),u,w) \ 1) = K(x,R(y,u,w) \ 1). K(x,(((y * z) * u) / ((x * z) * u)) \ 1) = K(x,R(y / x,x * z,u) \ 1). K(x,R(y / x,x * z,u) \ 1) = K(x,(((y * z) * u) / ((x * z) * u)) \ 1). 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)). x != R(K(y,z),y * u,w) | x = K(R(y,u,w),z). K(x,((x * y) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x). K(x,(y * z) / ((u * (x \ y)) * z)) = K(R(x,x \ y,z),u \ x). K(R(x,x \ y,z),u \ x) = K(x,(y * z) / ((u * (x \ y)) * z)). K(x,((y * z) * R(x,y,z)) / ((u * (K(y * z,x) * y)) * z)) = K(R(x,K(y * z,x) * y,z),u \ x). 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). x * y != z * ((u \ z) / z) | (u \ T(z,u \ 1)) / y = x. (x \ T(y,x \ 1)) / (x \ y) = K(y,x \ 1). K(x,y) * (R(x,z,u) * w) = R(x,z,u) * (K(x,y) * w). R(x,y,z) * (K(x,u) * w) = K(x,u) * (R(x,y,z) * w). K(x,y) * (R(y,z,u) * w) = R(y,z,u) * (K(x,y) * w). R(x,y,z) * (K(u,x) * w) = K(u,x) * (R(x,y,z) * w). T(x,y) * L(T(z,x),u,w) != v5 | K(x,y) * (L(z,u,w) * x) = v5. T(x,y) * R(T(z,x),u,w) != v5 | K(x,y) * (R(z,u,w) * x) = v5. K(x,x * y) * (R(y,z,u) * x) = R(y,z,u) * T(x,x * y). K(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y) * T(x * R(y,z,u),x) = R(y,z,u) * T(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y). T(x,y) * (T(x,z) \ u) != w | K(x,y) * (K(z,x) * u) = w. K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = 1. K(L(x,y,z) \ 1,x \ L(x,u,w)) = 1. T(L(x,y,z) \ 1,x \ L(x,u,w)) = L(x,y,z) \ 1. T(x \ L(x,y,z),L(x,u,w) \ 1) = x \ L(x,y,z). T(L(x,y,z) * (x \ 1),L(x,u,w) \ 1) = x \ L(x,y,z). (x \ 1) / (x \ L(x,y,z)) = (L(x,y,z) * (x \ 1)) \ (x \ 1). (L(x,y,z) * (x \ 1)) \ (x \ 1) = (x \ 1) / (x \ L(x,y,z)). x != (y \ 1) / (y \ L(y,z,u)) | x = L(y,z,u) \ 1. (L(x,y,z) * (x \ 1)) \ (x \ 1) = L(x,y,z) \ 1. (x \ L(x,y,z)) \ (x \ 1) = L(x,y,z) \ 1. x != L(y,z,u) \ 1 | x = (y \ 1) * (L(y,z,u) \ y). (x \ L(x,y,z)) \ (x \ 1) = (x \ 1) * (L(x,y,z) \ x). (x \ L(x,y,z)) \ 1 = L(x,y,z) \ x. (x \ L(x,y,z)) * (L(x,y,z) \ x) != u | u = 1. (x \ L(x,y,z)) * (L(x,y,z) \ x) != u | 1 = 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). T(T(x * K(y * R(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,R(x,z,u)). T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(x,z,u)). (K(x,y) * R(y,z,u)) * w = R(y,z,u) * (K(x,y) * w). R(x,y,z) * (K(u,x) * w) != v5 * (R(x,y,z) * w) | R(K(u,x),R(x,y,z),w) = v5. R(K(x,y),R(y,z,u),w) = K(x,y). (x * y) * (z \ T(z * L(y \ (z \ 1),y,x),u)) = (x * K(y \ 1,u)) * (z \ 1). (x * y) * L(z \ T(z * (y \ (z \ 1)),z),y,x) = (x * K(y \ 1,z)) * (z \ 1). x * (y * (z \ T(z * (y \ (z \ 1)),z))) = (x * K(y \ 1,z)) * (z \ 1). x * (K(y \ 1,z) * (z \ 1)) = (x * K(y \ 1,z)) * (z \ 1). (x * K(y \ 1,z)) * (z \ 1) = x * (K(y \ 1,z) * (z \ 1)). (x * K(y \ 1,z)) * (z \ 1) = x * (T(z,y \ 1) \ 1). (x * K(y,z)) * (z \ 1) = x * (T(z,(1 / y) \ 1) \ 1). (x * K(y,z)) * (z \ 1) = x * (T(z,y) \ 1). x * y != (z * K(u \ z,u)) * (u \ 1) | x \ T(z * (u \ 1),u) = y. x \ T(x * (y \ 1),y) = T(y,y \ x) \ 1. (x * K(y,z)) * (z \ 1) != u * w | u \ (x * (T(z,y) \ 1)) = w. (x * K(y,z)) * (z \ 1) = x * (z \ K(y,z)). 1 / T(K(x,y),z) = K(y,T(x \ 1,z) \ 1). K(x,T(y \ 1,z) \ 1) = 1 / T(K(y,x),z). L(x,y,K(z,y)) != u | u = x. L(x,K(y,z),z) != u | u = x. R(K(x,y \ x),x,z) = K(x,((y * z) / (x * z)) \ 1). T(K(x,(y / (x * z)) \ 1),u) = R(T(K(x,(y / z) \ x),u),x,z). R(T(K(x,(y / z) \ x),u),x,z) = T(K(x,(y / (x * z)) \ 1),u). T((1 / x) * K(y * R(1 / x,x,z),1 / x),y) = R(1 / x,y,z / (x * z)). x != K(y,z) * u | x = K(z,y) \ u. (K(x,y) \ z) * L(u,z,K(y,x)) = K(x,y) \ (z * u). (x * y) * L(z,y * x,K(x,y)) = K(y,x) \ ((y * x) * z). K(x,y) \ ((x * y) * z) != (y * x) * u | L(z,x * y,K(y,x)) = u. T(x,K(y,z)) != K(z,y) * u | x * K(y,z) = u. (K(x,y) * T(K(x,y) \ z,u)) * K(y,x) = T(z * K(y,x),u). (K(x,y) * T(z,u)) * K(y,x) = T((K(x,y) * z) * K(y,x),u). T(K(x * (1 / y),y \ 1) / y,x) = R(1 / y,x,1 / y). T(T(x,y),K(y,x) * z) != u | (K(y,x) * z) \ (x * z) = u. R(T(x,y),K(y,x) * z,(K(y,x) * z) \ K(y,x)) = ((x * z) * L(z \ 1,z,K(y,x))) / K(y,x). (x \ R(y,z,u)) * K(((x \ R(y,z,u)) \ (x \ 1)) \ 1,w) = x \ R(T(y,w),z,u). (x \ R(x,y,z)) * K((R(x,y,z) \ 1) \ 1,u) = x \ R(T(x,u),y,z). (x \ R(x,y,z)) * K(R(x,y,z),u) = x \ R(T(x,u),y,z). K(x,y) * T(z,y) != u | T(y,x) \ (z * y) = u. K(x,y / z) * z != u | T(y / z,x) \ y = u. T(T(x * K(x * y,x),z),y) = R(T(x,z),y,x). 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). 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. T(x,y \ K(y,z)) = T(x,z / (z * y)). K(x * (y \ K(y,z)),x) = K(((z * y) / z) \ x,x). K(((x * y) / x) \ z,z) = K(z * (y \ K(y,x)),z). K(x,y \ K(y,z)) * z = z * K(x,(z \ (z * y)) \ 1). K(x,y \ K(y,z)) * z = z * K(x,y \ 1). R(x * K(y,x),z,u) \ y = R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u)). 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). R(x,y,z) \ R(x,y,z) = K(R(x,y,z),x \ R(x,u,w)). K(R(x,y,z),x \ R(x,u,w)) = R(x,y,z) \ R(x,y,z). x != y \ y | x = 1. K(R(x,y,z),x \ R(x,u,w)) = 1. 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 * K(y,x)) \ 1) \ 1 = (x \ 1) \ K(y,x). (x \ K(x,y)) \ 1 = (x \ 1) \ K(y,x). T(K(x,y),z) = K(x,1 / T(1 / y,z)). K(x,1 / T(1 / y,z)) = T(K(x,y),z). K(x,1 / T(y,z)) = T(K(x,1 / y),z). T(K(x,1 / y),z) = K(x,1 / T(y,z)). K(x,R(T(K(x,y),z),u,w)) = 1. (x / (x / y)) \ (y * z) = K(y,y \ x) * z. R(K(x * y,x),(x * y) * z,u) = K(x * y,R(R(x,y,z),y * z,u)). K((x \ 1) \ 1,y) != z | K(x,y) = z. (x / y) * K(y \ 1,x) = (x \ (x / y)) * x. (x \ (x / y)) * x = (x / y) * K(y \ 1,x). 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. L((x \ 1) \ 1,y,z) * K(1 / x,x) = L(x,y,z). (x * y) * K(1 / L(z,y,x),u) = x * (y * (z * T(z \ 1,u))). K(x,(x / y) / x) = K(x,1 / y). x != y \ T(y,(z \ u) \ 1) | x = z \ (u * ((y * (u \ z)) / y)). K(x,1 / (y \ z)) = y \ (z * ((x * (z \ y)) / x)). x \ (y * ((z * (y \ x)) / z)) = K(z,1 / (x \ y)). K(x,1 / y) != z | K(x,y \ 1) = z. (x * T(x \ y,y)) * (y \ 1) = K(x \ y,y). x \ R(x,y * K(z,y),y \ K(y,z)) = a(x,y * K(z,y),(y * K(z,y)) \ 1). a(x,y * K(z,y),(y * K(z,y)) \ 1) = x \ R(x,y * K(z,y),y \ K(y,z)). T((x * K(y,x)) * (R(K(y,x),x,(x * K(y,x)) \ 1) \ 1),z) = (x * K(y,x)) * (T(x,z) * (x \ K(x,y))). K(x * y,x \ 1) * ((x * y) \ y) = y / (x * y). 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. x * y != K(((z * u) \ z) \ 1,u) | 1 / y = x. 1 / ((x * y) \ x) = T(1 / ((x * y) \ x),y). T(1 / ((x * y) \ x),y) = 1 / ((x * y) \ x). x != K(y \ ((1 / y) \ z),y) | x = K(z,y). K((x / ((1 / x) \ y)) \ 1,x) = K(y,x). (x / T(y,x)) * L(z,x / y,K(x,y)) = K(x,y) * ((x / y) * z). R(K(x,y),x / y,z) \ ((x / T(y,x)) * z) = (x / y) * z. ((x * y) / x) * (x / y) = y * (x / T(y,x)). K(x * (y / (z \ 1)),u) = K(x * (y / (1 / z)),u). K(x * (y / (1 / z)),u) = K(x * (y / (z \ 1)),u). T(x,x \ y) / (y \ x) = x * (y / x). x * K(y,y \ x) != z | z = y * (x / y). x * K(y,y \ x) != z | y * (x / y) = z. K(x,y \ 1) * ((x \ (y \ x)) * z) = ((y \ x) / x) * z. x * K(y \ 1,y * x) = ((y * x) \ x) * (y * x). ((x * y) \ y) * (x * y) = y * K(x \ 1,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. K(x * y,R(R(x,y,z),y * z,u)) = K(R(x * y,z,u),x). x / (K(R(y * z,u,w),y) * x) = K(R(R(y,z,u),z * u,w),y * z). K(R(R(x,y,z),y * z,u),x * y) = w / (K(R(x * y,z,u),x) * w). K(R(R(x,y,z),y * z,u),x * y) != w | K(x,R(x * y,z,u)) = w. x * T(x \ (y \ 1),y) = T(y,y \ (x \ 1)) \ 1. T(x,x \ (y \ 1)) \ 1 = y * T(y \ (x \ 1),x). x \ T(x * (y \ 1),y) = ((y \ x) \ x) \ 1. (x * (((y \ x) \ x) \ 1)) \ z = T(x * (y \ 1),y) \ z. T(x * (y \ 1),y) \ z = (x * (((y \ x) \ x) \ 1)) \ z. (((x \ y) \ y) \ 1) * y = T((x \ 1) * y,x). T((x \ 1) * y,x) = (((x \ y) \ y) \ 1) * 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. 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 * y) * K(1 / L(z,y,x),u) = x * (y * K(1 / z,u)). L(K(1 / x,y),z,u) = K(1 / L(x,z,u),y). L(K(1 / x,x),y,z) = K(1 / L(x,y,z),L(x,u,w)). K(1 / L(x,y,z),L(x,u,w)) = L(K(1 / x,x),y,z). x != L(K(1 / y,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 * (y * K(z \ 1,u)) != (x * y) * w | K(L(z,y,x) \ 1,u) = w. (x * y) * z != x * (y * K(u \ 1,w)) | K(L(u,y,x) \ 1,w) = z. (x * y) * K(z \ 1,L(z,u,w)) = x * (y * K(z \ 1,z)). (x * y) * K(z \ 1,L(z,u,w)) = x * (y * K(z \ 1,L(z,v5,v6))). K(L(x,y,z) \ 1,L(x,u,w)) = K(x \ 1,L(x,v5,v6)). K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / ((L(x,w,v5) \ 1) \ 1). 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 \ 1) \ 1,w,v5). K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) != v5 | (L(x,u,w) \ 1) * x = v5. (L(x,y,z) \ 1) * x = x / L((x \ 1) \ 1,y,z). x / L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) * x. ((L(x,y,z) \ 1) * x) \ x = L((x \ 1) \ 1,y,z). L((x \ 1) \ 1,y,z) \ x = (L(x,y,z) \ 1) * x. L(x \ 1,y,z) \ (1 / x) = (L(1 / x,y,z) \ 1) * (1 / x). (L(1 / x,y,z) \ 1) * (1 / x) = L(x \ 1,y,z) \ (1 / x). (L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1)) * (x \ 1) = ((L(x,y,z) \ 1) * x) * (1 / x). x * (y \ 1) != ((L(y,z,u) \ 1) * y) * (1 / y) | x = L(y,z,u) \ y. L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1) = L(x,y,z) \ 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)). 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 != 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. x * y != R(K(z,u),T(u,w),v5) | x \ K(z,u) = y. T(x,y) \ K(z,x) = (K(x,z) * T(x,y)) \ 1. (K(x,y) * T(x,z)) \ 1 = T(x,z) \ K(y,x). (K(x,y) * T(x,z)) \ 1 = T(x,y) \ K(z,x). ((x \ 1) \ 1) \ y = y * T(y \ (x \ y),T(x,z)). x * T(x \ (y \ x),T(y,z)) = ((y \ 1) \ 1) \ x. K(x \ y,x) * (x \ z) != u | u = ((x \ y) \ y) \ z. K(x \ y,x) * (x \ z) != u | ((x \ y) \ y) \ z = u. T(x,x \ y) \ z != u | ((x \ y) \ y) \ z = u. T(x,x \ y) \ R(T(z,z \ u),w,v5) != v6 | ((x \ y) \ y) \ R((z \ u) \ u,w,v5) = v6. T(((x * y) / x) * (y \ z),z) / z = K(x,(T(y \ z,z) / z) \ 1). T(K(x,y) * z,z) / z = K(x,(T(y \ z,z) / z) \ 1). K(x,(T(y \ z,z) / z) \ 1) = T(K(x,y) * z,z) / z. x != T(y * z,u) / z | 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)). x \ T(x * K(y,z),x) = K(y,T(x / z,x) \ x). T(x,y * (1 / z)) != u | T(x,y * (z \ 1)) = u. (T(x * y,z) / y) * (x \ 1) = (1 / y) * (x \ T(x * y,z)). (x \ T(y,z)) * ((x \ y) \ 1) = (1 / x) * ((x \ y) \ T((x \ y) * x,z)). (1 / x) * ((x \ y) \ T((x \ y) * x,z)) = (x \ T(y,z)) * ((x \ y) \ 1). (1 / x) * ((y * x) / y) = (x \ T(y,x)) * ((x \ y) \ 1). (x \ T(y,x)) * ((x \ y) \ 1) = (1 / x) * ((y * x) / y). x != (1 / y) * ((z * y) / z) | x = K(z,y). (x \ T(y,x)) * ((x \ y) \ 1) = K(y,x). (x \ T(x * y,x)) * (y \ 1) = K(x * y,x). (x \ T(x * K(y,z),x)) * (K(z,y) * 1) = K(x * K(y,z),x). K(x,T(y / z,y) \ y) * (K(z,x) * 1) = K(y * K(x,z),y). K(x,T(y / z,y) \ y) * K(z,x) = K(y * K(x,z),y). (T(x * y,z) / y) / x = K(1 / ((1 / y) / x),z). K(1 / ((1 / x) / y),z) = (T(y * x,z) / x) / y. K(x / (y * x),z) != u | K(1 / y,z) = u. K(x,y * (z * K(u,1 / u))) = K(x,y * z). K(x,y * (K(z,1 / z) * u)) = K(x,y * u). x != T(y,z) \ T(u * T(u \ y,w),z) | x = K((T(y,z) \ T(u,z)) \ 1,w). K((x \ y) \ 1,T(x,z)) = K((T(x,z) \ T(y,z)) \ 1,x). K((T(x,y) \ T(z,y)) \ 1,x) = K((x \ z) \ 1,T(x,y)). 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 \ (R(1 / y,y,x) * ((z * (y * x)) / z)) = K(z,1 / (x \ R(1 / y,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)))). 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)))). K((x / y) \ z,T(z,y / x)) = K((x / y) \ z,z). x != (y \ z) * ((z * ((y \ z) \ 1)) / z) | x = K(z,y / z). K(x,1 / (y \ x)) = K(x,y / x). x * ((x \ y) * K(z,x \ y)) = y * K(z,(y \ x) \ 1). ((1 / (1 / x)) \ y) * z = K(x,1 / x) * ((x \ y) * z). K(x,1 / x) * ((x \ y) * z) = ((1 / (1 / x)) \ y) * z. K(x,y * (((1 / (1 / z)) \ u) * w)) = K(x,y * ((z \ u) * w)). K(x,y * ((1 / z) * u)) = K(x,y * ((z \ 1) * u)). K(x,y * (((1 / z) * u) * w)) = K(x,y * ((z \ L(u,1 / z,z)) * w)). K(x,y * ((z \ L(u,1 / z,z)) * w)) = K(x,y * (((1 / z) * u) * w)). K(x,y * (((z \ 1) * u) * w)) = K(x,y * (((1 / z) * u) * w)). K(x,y * (((1 / z) * u) * w)) = K(x,y * (((z \ 1) * u) * w)). 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). (x \ K(x,y)) * T((x \ 1) \ 1,z) = T(x,z) * (x \ K(x,y)). K(x,y) / ((x \ 1) \ 1) = x \ K(x,y). ((x * (y \ x)) / x) * y = (y \ x) * (x / T(y \ x,x)). (x \ y) * (y / T(x \ y,y)) = ((y * (x \ y)) / y) * x. ((x \ y) \ y) * (y / T(T(x,x \ y),y)) = ((y * ((x \ y) \ y)) / y) * (x \ y). x != ((y * ((z \ y) \ u)) / u) * (z \ u) | x = z \ (y * ((z \ y) \ u)). ((x \ y) \ y) * (y / T(T(x,x \ y),y)) = x \ (y * ((x \ y) \ y)). x != y \ (z * ((y \ z) \ z)) | x = y * (z / T(y,z)). ((x \ y) \ y) * (y / T(T(x,x \ y),y)) = x * (y / T(x,y)). K(x,K(y,1 / y) / z) = K(x,1 / z). K(x * R(1 / y,z,u),w) = K(x * R(y \ 1,z,u),w). T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(T(x,z),u),y). (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(u,z,x * K(y,x)). (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(L(u,z,x),x * z,K(y,x)). x != (y * (K(z,y) * u)) \ (y * (K(z,y) * (u * w))) | x = L(w,u,y * K(z,y)). L(L(x,y,z),z * y,K(u,z)) = L(x,y,z * K(u,z)). K(x \ 1,x) * (y * K(x,z)) = y * ((x \ 1) * T(x,z)). 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). K(x,y / (z * x)) = K(x,1 / ((z / y) * x)). K(x,1 / ((y / z) * x)) = K(x,z / (y * x)). R(K(x / y,z \ (x / y)),x / y,y) = K(x / y,((z * y) / x) \ 1). x != R(K(y / z,u),y / z,w) | x = K((z / y) \ 1,u). K(x / y,((z * y) / x) \ 1) = K((y / x) \ 1,z \ (x / y)). 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. T(1 / ((x * y) \ x),z) = T(T(1 / ((x * y) \ x),z),y). T(T(1 / ((x * y) \ x),z),y) = T(1 / ((x * y) \ x),z). 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))). 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,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)). x != L(T(y \ z,u) \ 1,y \ z,y) | x = T(y \ z,u) \ T((y \ z) * (z \ y),u). x \ (y * K(z,y \ x)) = T(y \ x,z) \ T((y \ x) * (x \ y),z). T(x \ y,z) \ T((x \ y) * (y \ x),z) = y \ (x * K(z,x \ y)). T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ x),z). K(x,(y / z) \ 1) != u | K(x,z / y) = u. K(x,R(y / z,z,u) \ 1) != w | K(x,(z * u) / (y * u)) = w. K(x,R(y / z,z,z \ u) \ 1) != w | K(x,u / (y * (z \ u))) = w. R(K(x,y / z),y,u) != w | K(x,(y * u) / (z * u)) = w. x * y != K(z,z \ u) * w | x \ ((u / (u / z)) \ (z * w)) = y. (x / y) \ ((x / (x / y)) \ (y * z)) = (y \ x) \ z. x / (y * (z * T(z \ (y \ x),u))) = K(u,x / (y * z)). (x * (y * z)) / ((x * z) * T(L(T(y,z),z,x),u)) = K(u,(x * (y * z)) / (x * z)). x / (((y \ (x * z)) * y) / z) = K(y,x / (y / z)). K(x * ((y \ 1) \ 1),z) != u | K(x * y,z) = u. K(x * (1 / y),z) != u | K(x * (y \ 1),z) = u. K((1 / x) * y,z) != u | K((x \ 1) * y,z) = u. K(x / (y \ 1),z) != u | K(x / (1 / y),z) = u. K(x \ ((y \ 1) \ 1),z) != u | K(x \ y,z) = u. K(x * (y \ 1),z) != u | K(x * (1 / y),z) = u. K(x * T((y \ 1) \ 1,z),u) != w | K(x * T(y,z),u) = w. K(x * T((y * z) \ z,y),u) != w | K(x * ((y * z) \ z),u) = w. K((x \ 1) \ y,y) != z | K(y * x,y) = z. T(K(x * R(1 / y,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). T(K(x * R(y \ 1,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,1 / y). 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). K(x \ R(1 / y,z,u),w) = K(x \ R(y \ 1,z,u),w). K(((x * (y * z)) / z) \ 1,z / (y * z)) = 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 / (y * (z * x)),z \ 1) = K((y / R(1 / z,z,x)) \ 1,z \ 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 / (K(L(y,z,z \ 1) \ u,w) * x) = K(w,((z \ 1) * (z * y)) \ u). (x / y) \ ((y \ x) * z) != u | K(y \ x,y) * z = u. (x / (x / y)) \ (y * z) != u | K(y,y \ x) * z = u. T(x * L(x \ 1,y,z),u) != w | x * (K(x,u) * L(x \ K(u,x),y,z)) = w. K((x \ (y / (z \ 1))) \ 1,y) != u | K((x \ (y * z)) \ 1,y) = u. K(x,y / z) != u | K(x,(z / y) \ 1) = u. K(x,T(y,L(y,z,u) \ 1)) != w | K(x,y) = w. R(K(x,y / z),y / z,u) != w | K(x,(z / y) \ 1) = w. x * T(x \ y,z) != u | K(y / x,z) * y = u. K(L(x \ 1,y,z),u) != w | K(L(1 / x,y,z),u) = w. K(x \ (y \ 1),z) != u | K(x \ (1 / y),z) = u. K(x \ (y \ 1),z * T(u,u \ 1)) != w | K(x \ (1 / y),z * u) = w. R(x,y,z) \ K(x,u) = K(x,u) * (R(x,y,z) \ 1). K(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ K(x,y). x * y != R(z,u,w) \ K(z,v5) | x \ (K(z,v5) * (R(z,u,w) \ 1)) = y. (1 / (K(x,y) \ R(x,z,u))) \ (K(x,y) * (R(x,z,u) \ 1)) = (R(x,z,u) \ K(x,y)) * (K(x,y) \ R(x,z,u)). (1 / (K(x,y) * R(y,z,u))) \ (K(y,x) * (R(y,z,u) \ 1)) = (R(y,z,u) \ K(y,x)) * (K(y,x) \ R(y,z,u)). K(x,(1 / x) * y) * y = x * (y / x). (L(1 / (x \ y),x \ y,x) \ 1) * (1 / (x \ y)) = (y \ (x * 1)) \ (1 / (x \ y)). ((1 / (1 / (x \ y))) \ 1) * (1 / (y \ x)) = (x \ (y * 1)) \ (1 / (y \ x)). (1 / (x \ y)) * (1 / (y \ x)) = (x \ (y * 1)) \ (1 / (y \ x)). (x \ (y * 1)) \ (1 / (y \ x)) = (1 / (x \ y)) * (1 / (y \ x)). x != (1 / (y \ z)) * (1 / (z \ y)) | x = (z \ y) \ ((y \ z) \ 1). (x \ (y * 1)) \ (1 / (y \ x)) = (y \ x) \ ((x \ y) \ 1). (x \ y) \ (1 / (y \ x)) = (y \ x) \ ((x \ y) \ 1). (x \ y) \ ((y \ x) \ 1) = (y \ x) \ (1 / (x \ y)). x \ (((y * x) \ y) \ 1) = ((y * x) \ y) \ (1 / (y \ (y * x))). ((x * y) \ x) \ (1 / (x \ (x * y))) = y \ (((x * y) \ x) \ 1). ((x * y) \ x) \ (y \ 1) = (x \ (x * y)) \ (1 / ((x * y) \ x)). (x \ (x * y)) \ (1 / ((x * y) \ x)) = ((x * y) \ x) \ (y \ 1). x \ ((y \ (y / x)) \ 1) = (y \ (y / x)) \ (1 / ((y / x) \ y)). (x \ (x / y)) \ (1 / ((x / y) \ x)) = y \ ((x \ (x / y)) \ 1). x \ (1 / ((y * x) \ y)) = ((y * x) \ y) \ (x \ 1). ((x * y) \ x) \ (y \ 1) = y \ (1 / ((x * y) \ x)). (x \ 1) \ (x \ (1 / ((y * x) \ y))) = L(x \ 1,x,y) \ 1. T(K(x \ 1,y),z) != u | K(T(x,z) \ 1,y) = u. L(x \ 1,y,z) \ (x \ 1) = x \ (L(1 / x,y,z) \ 1). (x \ (L(1 / x,x,y) \ 1)) * T(z,(x * ((y * x) \ y)) \ 1) = z * ((x \ 1) / ((x * ((y * x) \ y)) * (x \ 1))). K(x,((y \ 1) * (y * z)) \ u) != w | K(x,L(z,y,y \ 1) \ u) = w. L(x,T(y,z),K(u,y)) = x. x != T(y,z) \ u | x = y \ (K(z,y) * u). L(T(x,y) \ z,T(u,w),K(v5,u)) = x \ (K(y,x) * z). K(x \ (y \ 1),y * x) = K(x \ (y \ 1),(y \ 1) \ x). K(x \ (y \ 1),(y \ 1) \ x) = K(x \ (y \ 1),y * x). K(x \ L(x,y,z),a(z,y,x)) = K(x \ L(x,y,z),L(x,y,z) \ x). K(x \ L(x,y,z),L(x,y,z) \ x) = K(x \ L(x,y,z),a(z,y,x)). x != ((y / z) * (z * u)) \ (y * u) | x = a(y / z,z,u). a(x \ y,(x \ y) \ y,z) = a(y / x,x,z). x != a(y \ z,(y \ z) \ z,u) | x = a(y \ z,T(y,y \ z),u). a(x / y,y,z) = a(y \ x,T(y,y \ x),z). a(x \ y,T(x,x \ y),z) = a(y / x,x,z). x != (T(y,z \ 1) / z) \ (y / z) | x = K(z \ 1,(1 / z) \ (y / z)). K(x \ 1,y) = K(x \ 1,(1 / x) \ (y / x)). K(x \ 1,(1 / x) \ (y / x)) = K(x \ 1,y). K(x \ 1,(1 / x) \ y) = K(x \ 1,y * x). K(1 / x,(1 / x) \ y) = K(x \ 1,y * x). ((1 / x) \ y) * K(x \ 1,y * x) = y / (1 / x). x * K(y \ 1,x * y) = (1 / y) * (x / (1 / y)). (1 / x) * (y / (1 / x)) = y * K(x \ 1,y * x). x != (1 / y) * (z / (1 / y)) | x = (y \ 1) * (z / (y \ 1)). x * K(y \ 1,x * y) = (y \ 1) * (x / (y \ 1)). (x \ 1) * (y / (x \ 1)) = y * K(x \ 1,y * x). K(x \ 1,(x \ 1) \ y) = K(x \ 1,y * x). x != ((y \ 1) \ 1) * (z / ((y \ 1) \ 1)) | x = y * (z / y). x * K((y \ 1) \ 1,x * (y \ 1)) = y * (x / y). x != y * K(z \ 1,y * z) | x = ((y * z) \ y) * (y * z). x * (y / x) = ((y * (x \ 1)) \ y) * (y * (x \ 1)). ((x * (y \ 1)) \ x) * (x * (y \ 1)) = y * (x / y). x * K(y,x * (y \ 1)) = y * (x / y). x * K(y,x * (1 / y)) = y * (x / y). x * y != z * (x / z) | y = K(z,z \ x). K(x,y * (1 / x)) = K(x,x \ y). 1 / K(x,x \ y) = K(y * (1 / x),x). K(x \ y,x) = K(y * (1 / x),x). K(x * (1 / y),y) = K(y \ x,y). K(x * (y \ 1),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(x * y,y \ 1) = K((y \ 1) \ x,y \ 1). K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1). x * K(x * (1 / y),y) = (y \ x) * y. x * K(x * y,y \ 1) = ((y \ 1) \ x) * (y \ 1). ((x \ 1) \ y) * (x \ 1) = y * K(y * x,x \ 1). x != K(y * (1 / (1 / z)),u) | x = K(y * z,u). K((1 / (1 / x)) * y,1 / x) = K(y * x,1 / x). (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = x * K(y,(x \ y) \ 1). x * K(x * y,1 / y) = ((1 / y) \ x) * (1 / y). ((1 / x) \ y) * (1 / x) = y * K(y * x,1 / x). x * y != (z \ x) * z | y = K(x / z,z). K(x * y,1 / y) = K(x / (1 / y),1 / y). K(x / (1 / y),1 / y) = K(x * y,1 / y). (x * y) \ (K(x \ 1,x) * y) = T((x * y) \ y,T(x,z)). T((x * y) \ y,T(x,z)) = (x * y) \ (K(x \ 1,x) * y). x != (y * z) \ (K(y \ 1,u) * z) | x = T((y * z) \ z,u). T((x * y) \ y,T(x,z)) = T((x * y) \ y,x). K(x,y / (K(z,z \ 1) * u)) = K(x,y / u). K(x,(y / (1 / z)) * u) = K(x,(y / (z \ 1)) * u). T(x,y / x) / (y \ x) = x * (y / x). (x / y) * K(x,1 / y) = x * ((x / y) / x). (K(x,y) / x) \ 1 = x * K(y,x). 1 / (K(x,y \ 1) / y) = K(1 / y,x) / (1 / y). K(1 / x,y) / (1 / x) = 1 / (K(y,x \ 1) / x). 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). L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (K(x,y) / x) * L(x,z,u). (x / y) * (x * (y / x)) = T(x,y / x). T(K(x,y),z) * K(y,x) != u | u = K(K(x,y),z). T(K(x,y),z) * K(y,x) != u | K(K(x,y),z) = u. (x * y) * K(L(z,u,w),z \ 1) != v5 | x * (y * K(z,z \ 1)) = v5. R(x * T(x \ 1,y),z,u) * R(R(x * T(x \ 1,y),z,u) \ 1,w,v5) = R((x * T(x \ 1,y)) * R(K(y,x \ 1),w,v5),z,u). K(x,x * (y \ 1)) != z | K(x,y \ x) = z. 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) / (1 / T(y,x)) = 1 / (1 / y). K(R(x,y,z) \ 1,u) * R(R(x * T(x \ 1,u),y,z) \ 1,w,v5) = R((x * T(x \ 1,u)) * R(K(u,x \ 1),w,v5),y,z). K(R(x,y,z) \ 1,u) * R(K(R(x,y,z) \ 1,u) \ 1,w,v5) = R((x * T(x \ 1,u)) * R(K(u,x \ 1),w,v5),y,z). R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(R(x,w,v5) \ 1,y) \ 1,z,u). R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * R(K(y,R(x,w,v5) \ 1),z,u). R((x * T(x \ 1,y)) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * K(y,R(R(x,w,v5),z,u) \ 1). R(K(x \ 1,y) * R(K(y,x \ 1),z,u),w,v5) = K(R(x,w,v5) \ 1,y) * K(y,R(R(x,w,v5),z,u) \ 1). K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * R(K(u,x \ 1),w,v5),y,z). K(R(x,y,z) \ 1,u) * K(u,R(R(x,y,z),w,v5) \ 1) = R(K(x \ 1,u) * K(u,R(x,w,v5) \ 1),y,z). L(x,y,z) / (x * K(u,x)) = (K(x,u) / x) * L(x,y,z). ((K(x,y) / x) * L(x,z,u)) \ L(x,z,u) = x * K(y,x). ((K(R(x,y,x),z) / R(x,y,x)) * x) \ L(R(x,y,x),y,x) = R(x,y,x) * K(z,R(x,y,x)). ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x,y,x) * K(z,R(x,y,x)). x != R(y,z,u) * K(w,R(y,z,u)) | 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). ((x / y) / x) * z != (x / y) * K(x,1 / y) | T(x,(x / y) / x) = z. x != y * ((y / z) / y) | x = (y / z) * K(y,1 / z). T(x,(x / y) / x) / ((x / y) \ x) = (x / y) * K(x,1 / y). ((x / y) / x) * ((y \ x) * y) = T(x / y,x / (x / y)). x != T(y,z / y) | x = (y \ z) \ z. ((x / y) / x) * ((y \ x) * y) = ((x / y) \ x) \ x. ((x / y) / x) * ((y \ x) * y) = y \ x. ((x / (x / y)) / x) * (y * (x / y)) = (x / y) \ x. x * y != (z / u) \ z | u / y = x. x / (x * (y / x)) = (y / (y / x)) / y. (x / (x / y)) / x = y / (y * (x / y)). R(K(x,y / (z * y)),R(1 / z,z,y),u) = K(x,z \ 1). (x * (y / x)) \ (y / x) = y \ (x \ y). K(x,y * L(z,u,u \ 1)) = K(x,y * ((u \ 1) * (u * z))). K(x,y * ((z \ 1) * (z * u))) = K(x,y * L(u,z,z \ 1)). K(x \ (y * ((x \ 1) \ 1)),z) = K(T(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). (K(x,y) * (((1 / x) * z) * T(((1 / x) * z) \ z,u))) / (K(x,y) * z) = K((1 / x) \ 1,u). (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K((1 / x) \ 1,z). (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K(x,z). K(x,y) * (K(x,z) * u) = K(x,z) * (K(x,y) * u). K(x,y) * (K(y,z) * (K(y,x) * u)) = K(y,z) * u. K(x,y) * (K(y,z) * (K(y,x) * u)) != w | w = K(y,z) * u. K(x,y) * (K(y,z) * (K(y,x) * u)) != w | K(y,z) * u = w. K(x,y) * (K(y,z) * u) = K(y,z) * (K(x,y) * u). K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u). 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). x * y != z * (K(u,w) * K(w,u)) | x \ z = y. K(x,y) \ K(z,x) = K(z,x) * K(y,x). K(x,y) * (K(z,x) * (K(y,x) * u)) = K(z,x) * u. K(x,y) * K(z,y) = K(z,y) * K(x,y). x * (T(x,y) \ K(z,x)) = K(z,x) * K(y,x). x * y != K(z,u) \ x | T(K(u,z),x) = y. T(K(x,y),K(z,y)) = K(x,y). T(x,y) \ ((z * x) / z) = K(z,x) * K(y,x). L(x,y,((z \ 1) \ 1) * (T(z,u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). ((x * y) / x) \ (T(y,z) * ((K(x,y) * K(z,y)) * u)) = L(u,T(y,z) \ ((x * y) / x),T(y,z)). K(x,y) * (K(z,y) * u) = K(z,y) * (K(x,y) * u). (((K(x,y) * (K(z,y) * u)) / (K(z,y) * u)) * K(z,y)) * u = K(z,y) * (R(K(x,y),K(z,y),u) * u). (K(x,y) * K(z,y)) * u = K(z,y) * (R(K(x,y),K(z,y),u) * u). K(x,y) * (R(K(z,y),K(x,y),u) * u) = (K(z,y) * K(x,y)) * u. L(x,y,z * (T(1 / (1 / z),u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). T(x,y) \ (T(x,z) * u) = K(x,z) * (K(y,x) * u). K(x,y) * (K(z,x) * u) != w | K(z,x) * (K(x,y) * u) = w. x != K(y,T(z \ 1,u) \ 1) | x = T(K(y,z),u). 1 / T(K(x,y),z) = T(K(y,x),z). x != 1 / T(K(y,z),u) | x = T(K(y,z),u) \ 1. T(K(x,y),z) = T(K(y,x),z) \ 1. T(K(x,y),z) \ 1 = T(K(y,x),z). T(K(x,y),z) * K(y,x) = K(z,K(y,x)). (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). 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(K(x,y),z) = K(z,K(y,x)). K(x,K(y,z)) != u | K(K(z,y),x) = u. K(x,K(y,z)) \ 1 = K(x,K(z,y)). K(K(x,y),z) * u != K(z,K(y,x)) | 1 = u. 1 = K(x,K(y,z)) * K(x,K(z,y)). K(x,K(y,z)) * K(x,K(z,y)) = 1. K(x,y) * K(z,K(y,x)) = T(K(x,y),z). x * K(K(y,z),x) = T(x,K(z,y)). K(x,K(y,z)) * K(z,y) = T(K(z,y),x). K(x,K(y,z)) * (K(z,y) * u) = T(K(z,y),x) * u. K(x,K(y,z)) \ 1 != u | K(x,K(z,y)) = u. 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)),K(z,y) * x) = L(x,K(z,y),x). K(K(x,y),z) != u | K(z,K(y,x)) = u. (x * T(y,K(z,u))) \ (x * (K(u,z) * y)) = L(K(u,z),T(y,K(z,u)),x). K(x,y) * K(x,z) = K(x,z) * K(x,y). (x \ y) * K(y \ x,z) = K(y \ x,z) * (x \ y). K(x \ y,z) * (y \ x) = (y \ x) * K(x \ y,z). T(K(x,y),K(x,z)) != u | u = K(x,y). T(K(x,y),K(x,z)) != u | K(x,y) = u. T(x,K(x,y)) != z | z = x. T(x,K(y,z)) != u | u = x * K(K(z,y),x). T(x,K(y,z)) != u | x * K(K(z,y),x) = u. T(K(x,y),K(y,z)) != u | u = K(x,y). T(K(x,y),K(y,z)) != u | K(x,y) = u. T(x,y) * (x \ K(x,z)) = K(x,z) * K(x,y). x != T(y,z) * (y \ K(y,u)) | x = (y \ K(y,u)) * T((y \ 1) \ 1,z). K(x,y) * K(x,z) = (x \ K(x,y)) * T((x \ 1) \ 1,z). (x \ K(x,y)) * T((x \ 1) \ 1,z) = K(x,y) * K(x,z). K(x,y) * K(x,z) != u | K(x,z) * K(x,y) = u. K(x \ 1,x) * (K(x,y) * K(x,z)) = (x \ K(x,y)) * T(x,z). (x \ K(x,y)) * T(x,x \ 1) = K(x,y). L(x,(y \ K(y,z)) * T(y,u),w) = L(x,K(y,z) * K(y,u),w). ((x \ K(x,y)) * T(x,z)) \ 1 = (K(x,y) * K(x,z)) \ K(x,x \ 1). (K(x,y) * K(x,z)) \ K(x,x \ 1) = ((x \ K(x,y)) * T(x,z)) \ 1. K(x,y) * K(x \ 1,x) = (x \ K(x,y)) * x. T(x,(y \ 1) \ 1) != z | z = T(x,y). T(x,(y \ 1) \ 1) != z | T(x,y) = z. T(x,T(y,y \ 1)) != z | T(x,y) = z. K(x,y \ 1) * y != z | T(1 / y,x) \ 1 = z. K(x,x \ y) * (x / y) != z | T(1 / (x / y),x) \ 1 = z. L(K(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. L(x / y,z,u) * (y * w) = L(y \ x,z,u) * (T(y,L(y \ x,z,u)) * w). L(x \ y,z,u) * (T(x,L(x \ y,z,u)) * w) = L(y / x,z,u) * (x * w). (K(x,y \ 1) / y) \ z = K(y \ 1,x) * ((1 / y) \ z). K(x \ 1,y) * ((1 / x) \ z) = (K(y,x \ 1) / x) \ z. K((x \ K(x,y)) * z,u) = K((K(x,y) / x) * z,u). K((K(x,y) / x) * z,u) = K((x \ K(x,y)) * z,u). x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z / (y \ 1))). x / (y * (K(z,u) * (y \ x))) = K(u,x / (y * (z \ (y \ x)))). (x * (y * z)) / (x * (z * T(T(y,z),u))) = K(u,(x * (y * z)) / (x * z)). (x * (y * z)) / (x * (T(y,u) * z)) = K(u,(x * (y * z)) / (x * z)). x != K(y,z) * K(y \ 1,y) | x = (y \ 1) * T(y,z). (x \ K(x,y)) * x = (x \ 1) * T(x,y). x != (y \ K(y,R(y,z,u) \ 1)) * y | x = K(w \ R(w,v5,v6),w). (x \ 1) * T(x,R(x,y,z) \ 1) = K(u \ R(u,w,v5),u). K(x \ R(x,y,z),x) = (u \ 1) * T(u,R(u,w,v5) \ 1). x != (y \ K(y,R(y \ 1,z,u))) * y | x = K(w \ R(w,v5,v6),w). (x \ 1) * T(x,R(x \ 1,y,z)) = K(u \ R(u,w,v5),u). K(x \ R(x,y,z),x) = (u \ 1) * T(u,R(u \ 1,w,v5)). (x \ 1) * y != K(z \ R(z,u,w),z) | y = T(x,R(x \ 1,v5,v6)). 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) \ 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. (x / R(x,y,z)) * u = (R(x,y,z) \ x) * u. (R(x,y,z) \ x) * R(x,y,z) = x. (R(x,y,z) \ x) \ x = R(x,y,z). R(K(x,R(y,z,u) \ y),y,w) = K(x,(y * w) / (R(y,z,u) * w)). x / R(x,y,z) != u | u = R(x,y,z) \ x. x / R(x,y,z) != u | R(x,y,z) \ x = u. (x / R(x,y,z)) * u != w | (R(x,y,z) \ x) * u = w. T(x,y) / R(x,z,u) = R(x,z,u) \ T(x,y). ((x / y) \ (1 / (y / x))) * R(1 / (y / x),y / x,y * (x / y)) = 1 / (y / x). (K(x,y) / R(x,z,u)) * x = R(x,z,u) \ T(x,y). x != T(1 / R(y,z,u),y) | x = (y / R(y,z,u)) * (y \ 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 * y != (z / R(z,u,w)) * (z \ 1) | T(x,y) = y \ (R(z,u,w) \ 1). T(R(x,y,z) \ x,x \ 1) = (x \ 1) \ (R(x,y,z) \ 1). x != (y \ 1) \ (R(y,z,u) \ 1) | x = R(y,z,u) \ 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). (1 / x) * R((1 / x) \ 1,y,z) = T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x). 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 != T(y \ z,z \ y) | x = ((y \ z) \ 1) \ 1. x \ R(x,y,z) = ((x \ R(x,y,z)) \ 1) \ 1. ((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 / 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 \ 1,y) * (x \ z) != u | z * T(z \ (x \ z),y) = u. K(x,y) * ((x \ 1) \ z) != u | z * T(z \ ((x \ 1) \ z),y) = u. 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). K(x * y,y) = K(y * x,y). 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). K(x,y) = K(y * (x / y),y). K(x * (y / x),x) = K(y,x). K(x,y) * K(y * x,x) = x \ R(x,y,x). T(x,y) \ T(x * K(x * z,x),y) = K(z * x,T(x,y)). K(x \ y,y) = K((1 / x) * y,y). K((1 / x) * y,y) = K(x \ y,y). ((x \ 1) \ y) * K(x * y,y) = T((x \ 1) \ y,y). K(x * y,y) != z | K(y * x,y) = z. 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,L(y,x,x \ 1)) * (y * x) = x * ((y * x) / x). 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 != K(y,z) | x = K(R(y,y \ 1,u),z). K(x,y) = K(R(x,x \ 1,z),L(y,x,x \ 1)). K(R(x,x \ 1,y),L(z,x,x \ 1)) = K(x,z). K(x \ 1,x * y) = K(x \ 1,(x \ 1) \ y). K(x \ 1,(x \ 1) \ y) = K(x \ 1,x * y). x != K(y \ 1,(y \ 1) \ z) | x = K(y \ 1,z * y). K(x \ 1,x * y) = K(x \ 1,y * x). K(x \ 1,y * x) = K(x \ 1,x * y). x * K(y \ 1,y * x) = (y \ 1) * (x / (y \ 1)). (x \ 1) * (y / (x \ 1)) = y * K(x \ 1,x * y). x * T(x \ 1,y * x) = K(x \ 1,x * y). ((x * y) \ y) * (x * y) = y * K(x \ 1,y * x). ((1 / x) \ y) * K(x \ 1,x * y) = y / (1 / x). x * y != K(x \ 1,z) | y = T(x \ 1,z). T(x \ 1,y * x) = T(x \ 1,x * y). K(x \ 1,x * y) != z | K(x \ 1,y * x) = z. 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 \ 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 \ 1) * L((y \ 1) \ 1,u,w),y * z). T(x \ L(x,y,z),u * x) = T((x \ 1) * L((x \ 1) \ 1,y,z),x * u). T((x \ 1) * L((x \ 1) \ 1,y,z),x * u) = T(x \ L(x,y,z),u * x). T(x \ L(x,y,z),x * u) = T(x \ L(x,y,z),u * x). T(x \ L(x,y,z),u * x) = T(x \ L(x,y,z),x * u). T((x \ y) \ 1,y) = (((x \ y) \ 1) \ x) \ x. x / T((x \ y) \ 1,y) = ((x \ y) \ 1) \ x. K(x,y / (z / (u \ 1))) = K(x,y / (z / (1 / u))). K(x,y / (z / (1 / u))) = K(x,y / (z / (u \ 1))). K(x,y / (z * (1 / u))) = K(x,y / (z * (u \ 1))). K(x,(((1 / y) \ z) \ 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 \ ((1 / z) * u)) = K(x,y \ ((z \ 1) * u)). K(x,y \ (z \ u)) = K(x,y \ (((z \ 1) \ 1) \ u)). K(x,y \ (((z \ 1) \ 1) \ u)) = K(x,y \ (z \ u)). K(x,y \ L(z,u,u \ 1)) = K(x,y \ ((u \ 1) * (u * z))). K(x,y \ ((z \ 1) * (z * u))) = K(x,y \ L(u,z,z \ 1)). 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))). K(x,(y / R(y,z,u)) \ x) = K(x,x * (y \ R(y,z,u))). (x * y) * (x / (x * y)) = x * K(x * y,y \ 1). (x * K(y,z \ 1)) * y = (x * z) * (y * (L(z \ y,z,x) / y)). (x * y) * (z * (L(y \ z,y,x) / z)) = (x * K(z,y \ 1)) * z. (x * 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). (x * (y \ 1)) * K(z,y) = (x * K(z,y)) * (y \ 1). (x * K(y,z)) * (z \ 1) = (x * (z \ 1)) * K(y,z). (x * (y \ 1)) \ (x * (T(y,z) \ 1)) = K(z,y). x != (y * K(z,u)) * (u \ 1) | x = y * (u \ K(z,u)). (x * (y \ 1)) * K(z,y) = x * (y \ K(z,y)). (x * y) * L(z * ((y \ z) / z),y,x) = (x * K(z,y \ 1)) * z. x * (y * (z * ((y \ z) / z))) = (x * K(z,y \ 1)) * z. x * T(y,z \ 1) = (x * K(y,z \ 1)) * y. (x * K(y,z \ 1)) * y = x * T(y,z \ 1). (x * K(y,z)) * y = x * T(y,(z \ 1) \ 1). (x * K(y,z)) * y = x * T(y,z). L(x,K(x,y),z) = x. x * T(y * K(x,z),x) = y * T(x,z). 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 * y != (1 / z) * T(z,u) | K(z,u) / y = x. K(x,y) / x = (1 / x) * K(x,y). (1 / x) * K(x,y) = K(x,y) / x. x * y != (z / ((u \ w) \ w)) * T(u,u \ w) | z / y = x. x / y = (x / ((y \ z) \ z)) * K(y,y \ z). (x / ((y \ z) \ z)) * K(y,y \ z) = x / y. x / y = (x / T(y,z)) * K(y,z). (x / T(y,z)) * K(y,z) = x / y. x * y != (z / T(y,u)) * T(y,y \ z) | x = (y * (z / y)) / T(y,u). (x / T(y,z)) * K(y,y \ x) = (y * (x / y)) / T(y,z). x * T(y,z) != (y * z) * T(T(y,z),u) | x = T(y,u) * z. (x * y) * K(T(x,y),z) = T(x,z) * y. 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 != (z * y) * T(y,u) | x = z * T(y,u). (x * y) * K(y,z) = x * T(y,z). x * y != (y \ T(z,y)) * T(y,z) | x = y \ z. (x \ T(y,x)) * K(x,y) = x \ y. (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. K(x,y * K(x,z)) * K(y * T(x,z),x) = x \ R(x,y * K(x,z),x). T(x,(x / y) / x) = T(x,1 / y). (x / y) * ((y \ z) \ z) = x * K(y,y \ z). x * T(x \ y,z) = y * K(x \ y,z). (x / y) \ (x * K(y,z)) = T(y,z). x * y != (z / u) * T(u,w) | (z * K(u,w)) / y = x. (x * K(y,z)) / y = (x / y) * K(y,z). x * y != (z / u) * T(u,w) | x \ (z * K(u,w)) = y. ((x / y) * K(y,z)) \ (x * K(y,z)) = y. x \ (y * K(x \ y,z)) = T(x \ y,z). (x * y) * T(L(z,y,x),u) = (x * (y * z)) * K(L(z,y,x),u). (x * (y * z)) * K(L(z,y,x),u) = (x * y) * T(L(z,y,x),u). (x / y) \ (x * K(y,z)) != u | u = T(y,z). (x / y) \ (x * K(y,z)) != u | T(y,z) = u. (x / y) * T(y,z) != u * w | (x * K(y,z)) / w = u. (x / y) \ T(x * K(y,z),(x / y) \ 1) = (((x / y) \ 1) \ T(y,z)) * ((x / y) \ 1). K(x \ 1,x) * (y * K(x,z)) = (y / x) * (1 / (1 / T(x,z))). T(x * K(y,z),T(x / y,T(y,z))) = T((x / y) * T(y,z),x / y). K(x,y) * T(y * x,z) = (x * y) * K(y * x,z). (x * y) * K(y * x,z) = K(x,y) * T(y * x,z). T(x * y,K(y,z)) = K(y,z) \ (x * T(y,z)). K(x,y) \ (z * T(x,y)) = T(z * x,K(x,y)). (x * T(y,z)) / K(y,z) = x * y. (x * y) * z != x * T(y,u) | z = L(K(y,u),y,x). K(x,y) = L(K(x,y),x,z). L(K(x,y),x,z) = K(x,y). ((x * y) * T(z,u)) / ((y * z) * K(z,u)) = R(R(x,y,z),y * z,K(z,u)). R(x * y,K(y,x),K(x,z)) \ (y * T(x,z)) = K(y,x) * K(x,z). (x * y) * K(y,z) = x * (y * K(y,z)). x != K(y,z) | x = K(z,y) \ 1. L(K(x,y),x,z) = K(y,x) \ 1. x != K(y,z) | x = (T(y,z) * u) / (y * u). L(K(x,y),x,z) = (T(x,y) * u) / (x * u). (1 / x) \ L(K(x,y),z,u) = x * L(K(x,y),z,u). L(K(x,y),x,z) != u | K(x,y) = u. (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,z) != u | (x / y) * T(y,z) = u. ((x * y) * z) * K(y * z,u) != w | R(x,y,z) * T(y * z,u) = w. T(x,y) = L(T(x,y),K(x,z),u). L(T(x,y),K(x,z),u) = T(x,y). (x * K(y,z)) * L(y,u,w) = x * (K(y,z) * L(y,u,w)). (x \ (x * y)) * x = L(y * x,K(x * y,z),u). L(x * y,K(y * x,z),u) = (y \ (y * x)) * y. K(x / y,z) * x = x * K(y \ x,z). T(K(x / y,z),x) = K(y \ x,z). T(K(x,y),z) = K((x \ z) \ z,y). K((x \ y) \ y,z) = T(K(x,z),y). K((x \ y) \ 1,z) = K(y \ x,z). x \ T(y,z) = (x \ y) * K((x \ 1) \ (x \ y),z). (x \ y) * K((x \ 1) \ (x \ y),z) = x \ T(y,z). x \ T(x * y,z) = y * K((x \ 1) \ y,z). x * y != z * T(z \ u,w) | (u * K(z \ u,w)) / y = x. (x * K(y \ x,z)) / y = T(x / y,z). x \ (((y \ (x * z)) * y) / z) = K((y / z) \ x,y). x * y != (z \ u) * T((z \ u) \ w,u) | x \ (z \ ((u \ (z * w)) * u)) = y. x \ (y \ ((z \ (y * x)) * z)) = K((y \ z) \ x,z). x \ (y * 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. K((x \ (y * z)) \ 1,y) = K((y / (z \ 1)) \ x,y). K(1 / (x \ y),z) = K(y \ x,z). x != K(y,z) | x = L(K(y,z),y,u). K((x \ y) \ 1,z) = L(K(y \ x,z),y \ x,u). L(K(x \ y,z),x \ y,u) = K((y \ x) \ 1,z). K(((x * y) \ x) \ 1,z) = K(y,z). x != K((y \ z) \ 1,T(y,u)) | x = K((T(y,u) \ T(z,u)) \ 1,y). K(x \ y,T(y,z)) = K((T(y,z) \ T(x,z)) \ 1,y). K((T(x,y) \ T(z,y)) \ 1,x) = K(z \ x,T(x,y)). K(x \ 1,y) = K((z * x) \ z,y). K((x * y) \ x,z) = K(y \ 1,z). K(x \ 1,y) = K(z \ (z / x),y). K(x \ (x / y),z) = K(y \ 1,z). K((K(x,y) * z) \ 1,u) = K(z \ K(y,x),u). x / (K(y \ z,u) * x) = K(u,(z \ y) \ 1). L(K(x \ y,z),u,w) = K(L(y \ x,u,w) \ 1,z). K(L(x \ y,z,u) \ 1,w) = L(K(y \ x,w),z,u). x * K((y * z) \ x,z) = y * ((z \ (y \ x)) * z). x * K((y * z) \ x,y) = z * ((y \ (z \ x)) * y). K(x \ y,z) \ z = T(z,(y \ x) \ 1). T(x,(y \ z) \ 1) = K(z \ y,x) \ x. x * (y * K((x \ 1) \ y,z)) = T(x * y,z). (1 / x) * K(y \ (1 / x),z) = K((y * x) \ 1,z) / x. (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (x \ y)). K(x,y \ z) = K(x,(z \ y) \ 1). K(x,(y \ z) \ 1) = K(x,z \ y). K(x,(y \ z) \ 1) != u | K(x,z \ y) = u. K(x,1 / (y \ z)) = K(x,z \ y). x != K((y \ z) \ 1,u) | x = K(z \ y,u). K((x \ y) \ 1,(z \ u) \ 1) = K(y \ x,u \ z). 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,y \ 1) = K(x,z \ (z / y)). K(x,y \ (y / z)) = K(x,z \ 1). K(x,(y \ (y / z)) \ 1) = K(x,z). K(x,(y \ T(z,z \ u)) \ 1) = K(x,((z \ u) \ u) \ y). K(x,((y \ z) \ z) \ u) = K(x,(u \ T(y,y \ z)) \ 1). K(x,a(y,z,z \ 1) \ 1) = K(x,R(y,z,z \ 1) \ y). K(x,R(y,z,z \ 1) \ y) = K(x,a(y,z,z \ 1) \ 1). K(x,(K(y,z) * u) \ 1) = K(x,u \ K(z,y)). K(x,(y \ K(z,u)) \ 1) = K(x,K(u,z) * y). R(K(x,y \ z),u,w) = K(x,R(z \ y,u,w) \ 1). K(x,R(y \ z,u,w) \ 1) = R(K(x,z \ y),u,w). K(x,(y / z) \ 1) * z = z * K(x,y \ z). x * K(y,z \ x) = K(y,x / z) * x. K(x,y / z) * y = y * K(x,z \ y). x * K(y,z \ x) = z * ((y * (z \ x)) / y). (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = x * K(y,y \ x). x * ((x \ y) * K(z,x \ y)) = y * K(z,x \ y). K(x,L(y \ L(y,z,u),y,u * z)) = K(x,a(u,z,y) \ 1). K(1 / L(x \ y,z,u),w) = L(K(y \ x,w),z,u). x != T(K(y,z),z) | x = K(y,z). K((x \ y) \ y,y) = K(x,y). K(T(x,x \ y),z) = T(K(x,z),y). K((x \ y) \ 1,z) != u | u = K(y \ x,z). K((x \ y) \ 1,z) != u | K(y \ x,z) = u. K(T(x,y) \ 1,z) != u | K((x * y) \ y,z) = u. K(L(x \ y,x,z) \ 1,u) != w | K((z * y) \ (z * x),u) = w. K(1 / (x \ y),z) != u | K(y \ x,z) = u. K((K(x,y) * z) \ 1,u) != w | K(z \ K(y,x),u) = w. T(K(x / y,z),x) != u | K(y \ x,z) = u. x \ (y * (z * T(z \ (y \ x),u))) != w | K((y * z) \ x,u) = w. K((x * y) \ (x * z),u) = L(K(y \ z,u),z,x). L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z). L(K(x \ y,z),y,u) != w | K((u * x) \ (u * y),z) = w. x != K(y \ ((z \ 1) * z),u) | x = K(y \ 1,u). L(K(x \ y,z),y,y \ 1) = K(((y \ 1) * x) \ 1,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). x != K((y * (z / u)) \ (y * z),w) | x = K(L(u,z / u,y),w). L(K(x,y),z,u) = K(L(x,z / x,u),y). K(L(x,y / x,z),u) = L(K(x,u),y,z). x != L(y,z,u) | 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 / x,z),u) != w | L(K(x,u),y,z) = w. (x * (y * z)) / K(L(y,z,x),z) = x * (z * y). 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). T(K(x,y),z) = K(x,(y \ z) \ z). K(x,(y \ z) \ z) = T(K(x,y),z). T(x / y,K(z,y \ x)) = x / y. T(x,K(y,z \ x)) != u | T(x,K(y,x / z)) = u. 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 != z * ((u \ (z \ x)) * u) | y = K((z * u) \ x,u). K((x * y) \ z,x) = K((y * x) \ z,x). K((x * y) \ z,y) = K((y * x) \ z,y). 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). x \ T(x * y,z) != y * u | K((x \ 1) \ y,z) = u. T(x * K((y \ 1) \ x,z),y) = y \ T(x * y,z). 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,y,u)) != w | L(K(x,y \ z),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)). (x * y) * K(z,L(u,y / u,x)) = x * (y * K(z,u)). K(x,(y * (z / u)) \ (y * z)) = L(K(x,u),z,y). K(x,(y * ((y \ z) / u)) \ z) = L(K(x,u),y \ z,y). x != L(y,z * (1 / z),u) | x = y. K(x,L(1 / y,y,z)) = K(x,1 / y). L(K(x,y),z * T(y,u),w) = K(x,L(y,z * K(y,u),w)). (x * y) * K(z \ (x * y),u) = x * (y * K((x \ z) \ y,u)). (x / L(y \ z,u,w)) * K(L(z / y,u,w),y) = x / L(z / y,u,w). L(x \ 1,x,y * K(x,z)) != u | L(x \ 1,T(x,z),y) = u. ((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)) != w | R(x,y,T(z,u)) = w. R(x,y,T(z,u)) = R(R(x,y * z,K(z,u)),y,z). R(R(x,y * z,K(z,u)),y,z) = R(x,y,T(z,u)). K(x,(y * z) \ (y * u)) = L(K(x,z \ u),u,y). L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)). x != L(K(y,z),y,u) | x = K(y,z). K(x,(y * z) \ (y * x)) = K(x,z \ x). L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)). L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). x != L(K((y \ z) \ u,w),u,y) | x = K(z \ (y * u),w). K((x \ y) \ z,u \ (x * z)) = K(y \ (x * z),(x \ u) \ z). K(x,y \ (z * x)) = K(x,(z \ y) \ x). K(x,(y \ z) \ x) = K(x,z \ (y * x)). T(K(x,y \ (z * u)),w) = L(T(K(x,(z \ y) \ u),w),u,z). L(T(K(x,(y \ z) \ u),w),u,y) = T(K(x,z \ (y * u)),w). K(x,y \ (z * K(u,z))) != w | w = K(x,(z \ y) \ K(u,z)). K(x,y \ (z * K(u,z))) != w | K(x,(z \ y) \ K(u,z)) = w. K(x \ L(y,z,u),y) = K(L(y,z,u) / x,y). K(L(x,y,z) / u,x) = K(u \ L(x,y,z),x). K(x \ y,y) = K(y / x,y). K(x / y,x) = K(y \ x,x). K(x \ y,z) = K(y,K(z,y / x)) * K(y / x,z). K(x,K(y,x / z)) * K(x / z,y) = K(z \ x,y). T(K(x,y),z) != u | K((x \ z) \ z,y) = u. K(x / y,x) != z | K(y \ x,x) = z. K((x / y) \ z,z) = K((z * y) / x,z). K((x * y) / z,x) = K((z / y) \ x,x). K(x,y \ (y / z)) = K(x,1 / z). x * K(x,y \ 1) = T(x,z \ (z / y)). T(x,y \ (y / z)) = x * K(x,z \ 1). x != y * K(y,z) | x = T(y,z). T(x,y \ (y / z)) = T(x,z \ 1). x != T(y,z \ 1) | x = T(y,1 / z). T(x,y \ (y / z)) = T(x,1 / z). T(x,(y * z) \ y) = T(x,z \ 1). T(x,y \ z) = T(x,(z \ y) \ 1). T(x,(y \ z) \ 1) = T(x,z \ y). (x \ (x / y)) * T(z,y \ 1) = z * (x \ (x / y)). T(x,(y * z) \ z) = T(x,T(y,z) \ 1). T(x,T(y,z) \ 1) = T(x,(y * z) \ z). T(x,R(y,z,z \ 1) \ (y * z)) = T(x,(z \ 1) \ 1). T(x,L(y \ 1,y,z)) = T(x,y \ 1). (((x \ y) * z) \ z) \ z = T((x \ y) * z,y \ x). T((x \ y) * z,y \ x) = (((x \ y) * z) \ z) \ z. T(x,((y * z) \ y) \ 1) = T(x,z). ((x \ y) \ 1) * T(z,y \ x) = z * ((x \ y) \ 1). T(x,y \ z) / ((z \ y) \ x) = x / ((x \ ((z \ y) \ x)) * x). K((x \ y) \ z,T(z,y \ x)) = K((x \ y) \ z,z). K(L(x \ 1,x,y),z) = K(x \ 1,z). 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). L(K(x \ y,z),y,x \ 1) != u | K((x \ 1) * y,z) = u. K(x,(y * z) \ (y * x)) != u | K(x,z \ x) = u. (x \ T(y,x)) \ (x \ y) = K(x,y). x \ y != z * K(x,y) | x \ T(y,x) = z. x * K(y,z) != y \ z | y \ T(z,y) = x. (x / y) * K(y \ x,x) = T(x / y,x). K(x,(y * (z * u)) \ (y * z)) = K(x,1 / L(u,z,y)). K(x,y \ (y / z)) != u | K(x,z \ 1) = u. K(x,L(L(y \ 1,y,z),z * y,u)) = K(x,1 / L(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)). 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)). x * T(y,T(x,z)) = T(y * x,K(x,z)). T(x * y,K(y,z)) != u | K(z,y) * (x * T(y,z)) = u. x * y != z * T(u,T(z,w)) | T(u * z,K(z,w)) / y = x. T(x * y,K(y,z)) / y = T((y * x) / y,T(y,z)). x * T(y / x,T(x,z)) = T(y,K(x,z)). L(T(x,y),z,u) = L(L(T(x,y),z,u),K(x,w),v5). L(L(T(x,y),z,u),K(x,w),v5) = L(T(x,y),z,u). (x * K(y,z)) * L(T(y,u),w,v5) != v6 | x * (K(y,z) * L(T(y,u),w,v5)) = v6. (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,z) * (y * x) = K(y,x) * T(x * y,z). K(x,(y * z) \ (y * u)) != w | L(K(x,z \ u),u,y) = w. R(x,y,K(y,z)) = x. K(1 / ((x * y) \ x),z) = K(y,z). K(1 / x,y) = K((z * x) \ z,y). K((x * y) \ x,z) = K(1 / y,z). 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). K(x,(y \ 1) \ x) = K(x,y * x). K(x,(K(y,z) * u) \ x) = K(x,u \ (K(z,y) * x)). K(x,T((y \ z) \ 1,z) \ x) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). 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)). 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,u)) * (z * y) = x * (K(z,y) * T(y * z,u)). 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) \ x) \ x = T(x * y,y \ 1). T(x * y,y \ 1) = ((x * y) \ x) \ x. x != T(y,(z * u) \ z) | x = T(y,L(1 / u,u,z)). T(x,y \ 1) = T(x,L(1 / y,y,z)). T(x,L(1 / y,y,z)) = T(x,y \ 1). ((x * y) \ x) * T(z,y \ 1) = z * ((x * y) \ x). x / T(x * y,y \ 1) = (x * y) \ x. T(x,a(y * z,(y * z) \ y,z)) = T(x,(((y * z) \ y) * z) \ 1). T(x,y) / ((1 / z) \ x) = (1 / z) * K((((1 / z) \ x) \ 1) \ (z \ 1),y). T(x,y) / ((1 / z) \ x) = (1 / z) * K((((z \ 1) \ x) \ 1) \ (z \ 1),y). 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. K(x,L(y,z,u) \ 1) != w | K(x,(u * (z * y)) \ (u * z)) = w. K(x,T(y,z) \ 1) != u | K(x,(y * z) \ z) = u. K(x,L(y \ z,y,u) \ 1) != w | K(x,(u * z) \ (u * y)) = w. K(x,1 / (y \ z)) != u | K(x,z \ y) = u. K(x,(K(y,z) * u) \ 1) != w | K(x,u \ K(z,y)) = w. T(K(x,y / z),y) != u | K(x,z \ y) = u. K(x,T(y,z)) = T(K(x,y),y * z). T(K(x,y),y * z) = K(x,T(y,z)). K(x \ y,(x * z) \ y) = K(x \ y,z \ (x \ y)). x * K(x,y \ x) = T(x,(z * y) \ (z * x)). T(x,(y * z) \ (y * x)) = x * K(x,z \ x). T(x,(y * z) \ (y * x)) = T(x,z \ x). T(x,y \ (z * x)) = T(x,(z \ y) \ x). T(x,(y \ z) \ x) = T(x,z \ (y * x)). K(x,R(x,y,z) / u) != w | K(x,u \ R(x,y,z)) = w. K((x * y) \ z,x) = K((x / (y \ 1)) \ z,x). K((x / (y \ 1)) \ z,x) = K((x * y) \ z,x). K(((x \ 1) * y) \ y,z) = T(K(x,z),y). K((x * y) \ y,T(x,z)) = K(x \ 1,x). x != K(y,(z \ 1) \ y) | x = K(y,y * z). K(x,y * x) = K(x,x * y). K(x,y) = K(x,x * (y / x)). K(x,x * (y / x)) = K(x,y). K(x * (y * z),a(x,y,z) * (x * (y * z))) = K(x * (y * z),(x * y) * z). L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(u * K(z,y)) \ w). x \ (y \ ((z \ (y * x)) * z)) = K((z / y) \ x,z). x != y \ (z \ ((u \ (z * y)) * u)) | x = K((z \ u) \ y,u). K((x / y) \ z,x) = K((y \ x) \ z,x). L(K((x \ y) \ (z \ u),y),z \ u,z) = K((z * (y / x)) \ u,y). ((x / y) \ T(x * K(y,z),(x / y) \ 1)) / T(y,z) = K(x * K(y,z),(x / y) \ 1). 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 \ T(z,u)) * y | x = T((y \ z) * y,u). (x / y) \ T(x * K(y,z),(x / y) \ 1) = T((((x / y) \ 1) \ y) * ((x / y) \ 1),z). T((((x / y) \ 1) \ y) * ((x / y) \ 1),z) = (x / y) \ T(x * K(y,z),(x / y) \ 1). T(x * (y / x),z) = (x / y) \ T(x * K(y,z),(x / y) \ 1). (x / y) \ T(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z). T(x * (y / x),z) / T(y,z) = K(x * K(y,z),(x / y) \ 1). K(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z) / T(y,z). x != T(y * (z / y),u) / T(z,u) | x = K(y,y \ T(z,u)). K(x * K(y,z),(x / y) \ 1) = K(x,x \ T(y,z)). x * (K(y \ x,x) * (y \ 1)) = T(x * (y \ 1),x). K((x \ y) \ y,z \ (R(x,u,w) * y)) = K(T(x,R(x,u,w) * (x \ y)),(R(x,u,w) \ z) \ y). K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K((x \ u) \ u,w \ (R(x,y,z) * u)). K(x,T(x * y,z)) = K(x,T(y * x,z)). K(x,T(y * x,z)) = K(x,T(x * y,z)). T(x,1 / y) / ((x / y) \ x) = (x / y) * K(x,1 / y). ((x * y) \ x) * T(((x * y) \ x) \ 1,z) = K(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). (((x * y) \ x) \ 1) * (z / (((x * y) \ x) \ 1)) = z * K(y,z * ((x * y) \ x)). (1 / ((x * y) \ x)) * K(y,z) = T(1 / ((x * y) \ x),z). K(x \ 1,y) * ((z * x) \ z) = T((z * x) \ z,y). K(x \ 1,y) * (z \ (z / x)) = T(z \ (z / x),y). ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (x \ y),y \ x). x != K(y * z,z \ 1) | x = K((z \ 1) \ y,z \ 1). K(x * ((y * z) \ y),z) = K((((y * z) \ y) \ 1) \ x,((y * z) \ y) \ 1). K((((x * y) \ x) \ 1) \ z,((x * y) \ x) \ 1) = K(z * ((x * y) \ x),y). K(x,y) = T(K(x,y),(z * x) / z). T(K(x,y),(z * x) / z) = K(x,y). T(x,K(y,T(x,z))) = x. T(x,L(y \ 1,y,z) \ 1) = T(x,y). (1 / ((x * y) \ x)) * T(z,y) = z * (1 / ((x * y) \ x)). K((x * y) \ x,z) != u | K(y \ 1,z) = u. (x * y) * K(z,T(x,y)) = K(z,x) * (x * y). T(K(x \ y,z),y / x) = K(x \ y,z). L(x \ 1,x,y) \ z = T(z / L(x \ 1,x,y),x \ 1). T(x / L(y \ 1,y,z),y \ 1) = L(y \ 1,y,z) \ x. (x \ y) / (y \ (y / x)) = (y / x) * (y / (y / x)). K(x,y) / (K(x,y) / y) = 1 / (1 / y). (x * K(y,x)) * K(x,z) = T(x,z) * K(y,x). T(x,(y \ z) \ 1) != u | T(x,z \ y) = u. x != ((y * z) \ y) \ u | x = L(z \ 1,z,y) \ u. T(x * y,y \ 1) = L(y \ 1,y,x) \ x. L(x \ 1,x,y) \ y = T(y * x,x \ 1). x != T(y,(z / u) \ 1) | x = T(y,u / z). ((x * (y / z)) \ x) \ x = T(x * (y / z),z / y). T(x * (y / z),z / y) = ((x * (y / z)) \ x) \ x. T(x * (1 / y),(1 / y) \ 1) = L(y,y \ 1,x) \ x. (1 / x) * (((y * x) \ y) \ y) = (y * x) * (1 / x). x != K(y,y \ z) * ((y \ z) * u) | x = (z / y) * u. ((x \ y) * z) * K(x,T(x \ y,z)) = (y / x) * z. T(K(x \ K(y,z),u),w) = K(T(K(z,y) * x,w) \ 1,u). K(T(K(x,y) * z,u) \ 1,w) = T(K(z \ K(y,x),w),u). K(x \ 1,y) = T(K(x \ K(x,z),y),z). T(K(x \ K(x,y),z),y) = K(x \ 1,z). x * K(y \ 1,z) = K(y \ K(y,x),z) * x. K(x \ K(x,y),z) * y = y * K(x \ 1,z). 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) \ z,y * x) = K((y * x) \ z,y * x). L(K(x,K(y \ 1,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w). L(K(x,K(y,z \ 1) * (u \ w)),u \ w,u) = K(x,(K(z \ K(z,u),y) * u) \ w). T(x,1 / y) / y = (x / y) * K(x,1 / y). (x / y) * K(x,1 / y) = T(x,1 / y) / y. (x * y) / ((x * T(y,(x \ 1) \ 1)) * (x \ 1)) = ((x * y) * (x \ 1)) \ (x * y). x * y != T(z,u) * T(T(z,u) \ u,w) | x \ T(u * K(z \ u,w),u) = y. x \ T(x * K(y \ x,z),x) = K(T(y,x) \ x,z). x \ T(x * K(y,z),x) = K(T(x / y,x) \ x,z). x != y \ 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(T(x,y) \ T(z,y),z) = K(x \ z,T(z,y)). 1 / K(x \ y,T(y,z)) = K(y,T(x,z) \ T(y,z)). K(x,T(y,z) \ T(x,z)) = 1 / K(y \ x,T(x,z)). T(x,y) \ T(x * K(z \ x,T(x,u)),y) != w | K(T(z,u) \ T(x,u),T(x,y)) = w. T(x,T(y,z) \ 1) != u | T(x,(y * z) \ z) = u. T(x,a(y,z,z \ 1) \ 1) != u | T(x,R(y,z,z \ 1) \ y) = u. x != K(y,((z * u) \ z) \ 1) | x = K(y,u). 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(T(x * T(x \ (y / z),u),z) \ T(x,z),w) != v5 | K(T(T(x,z) \ (z \ y),u) \ 1,w) = v5. 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 != z * ((u * (z \ w)) / u) | x \ (w * K(u,z \ w)) = y. x \ (y * K(z,x \ y)) = (x \ y) * K(z,x \ y). x != K(y \ 1,y) * (z * K(y,u)) | x = z * ((y \ 1) * T(y,u)). (x / y) * (1 / (1 / T(y,z))) = x * ((y \ 1) * T(y,z)). (x / y) * T(1 / (1 / y),z) = x * ((y \ 1) * T(y,z)). K(T(x \ y,x) \ z,T(z,y \ T(x,x \ y))) = K((T(x,x \ y) \ y) \ z,z). K((x * (y \ 1)) \ 1,x * (y \ 1)) = K(x \ y,x * (y \ 1)). L(K(x \ (y \ z),u),y \ z,y) != w | K((y * x) \ z,u) = w. 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). K(x \ (1 / y),x * y) = K(x \ (y \ 1),(y \ 1) \ x). 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). x * y != ((z * u) \ z) * T(((z * u) \ z) \ 1,w) | K(u,w) / y = x. 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 != (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. T(L(x \ 1,x,y) \ 1,z) = ((y * x) \ y) \ K(x,z). T(L(x \ 1,x,y) \ 1,x * L(x \ 1,z,u)) = ((y * x) \ y) \ 1. L(K(x,y),z,u) != w | K((u * (z / x)) \ (u * z),y) = w. x != 1 / K(y,z) | x = K(z,y). K(x,T(y,z) \ T(x,z)) = K(T(x,z),y \ x). x * (y * K((x \ z) \ y,u)) != (x * y) * w | K(z \ (x * y),u) = w. (x * y) * z != x * (y * K((x \ u) \ y,w)) | K(u \ (x * y),w) = z. K(x \ 1,y) != z | K(x \ K(u \ 1,u),y) = z. K(x,(y * z) \ y) != u | K(x,z \ 1) = u. K(x,((((y / z) \ u) * (y / z)) * z) \ y) != w | K(x,T(y \ (u * z),y / z) \ 1) = w. K(x,(K(y,y \ z) * u) \ (z / y)) != w | K(x,((y \ z) \ u) \ 1) = w. (x * y) / ((y * x) * (x \ 1)) = ((x * y) * (x \ 1)) \ (x * y). (x * y) / R(y,x,x \ 1) = ((x * y) * (x \ 1)) \ (x * y). ((x * y) * (x \ 1)) \ (x * y) = (x * y) / R(y,x,x \ 1). (x * y) / R(y,x,x \ 1) != z | L((x \ 1) \ 1,x \ 1,x * y) = z. ((x * y) * K(R(y,x,x \ 1) \ (x * y),z)) / R(y,x,x \ 1) = T(((x * y) * (x \ 1)) \ (x * y),z). T(x * (1 / y),y) = L(y,y \ 1,x) \ x. L(x,x \ 1,y) \ y = T(y * (1 / x),x). (T(x * (y / z),z / y) * ((x * (y / z)) \ x)) \ x = K((x * (y / z)) \ x,((x * (y / z)) \ x) \ x). K((x * (y / z)) \ x,((x * (y / z)) \ x) \ x) = (T(x * (y / z),z / y) * ((x * (y / z)) \ x)) \ x. K((x * (y / z)) \ x,((x * (y / z)) \ x) \ x) = (K(x * (y / z),z / y) * x) \ x. T(x,x \ T(x * y,y \ 1)) = T(x,L(y \ 1,y,x) \ 1). x != T(y,L(z \ 1,z,u) \ 1) | x = T(y,z). T(x,x \ T(x * y,y \ 1)) = T(x,y). T(x / y,(x / y) \ T(x,y \ 1)) = T(x / y,y). T(x / y,(x / y) \ T(x,y \ 1)) = y \ x. x * y != z * K(u,u \ z) | x \ (u * (z / u)) = y. (((x \ y) \ 1) \ x) \ (y * (x / y)) = (x \ y) \ 1. (((x \ y) * K(z,x \ y)) \ 1) * (((x \ y) * K(z,x \ y)) * ((y * K(z,x \ y)) \ x)) = (x * ((x \ y) * K(z,x \ y))) \ x. ((x \ y) \ K(x \ y,z)) * (((x \ y) * K(z,x \ y)) * ((y * K(z,x \ y)) \ x)) = (x * ((x \ y) * K(z,x \ y))) \ x. ((x \ y) \ K(x \ y,z)) * ((x \ y) * (K(z,x \ y) * ((y * K(z,x \ y)) \ x))) = (x * ((x \ y) * K(z,x \ y))) \ x. ((x \ y) \ K(x \ y,z)) * ((x \ y) * (K(z,x \ y) * ((y * K(z,x \ y)) \ x))) = (y * K(z,x \ y)) \ x. ((x \ y) \ K(x \ y,z)) * ((x \ y) * (K(z,x \ y) * T(x / (y * K(z,x \ y)),y * K(z,x \ y)))) = (y * K(z,x \ y)) \ x. K(x,L(y * ((z * y) \ z),y \ 1,z * y)) = K(x,a(z,y,y \ 1) \ 1). x != K(y,(z \ u) \ 1) | x = K(y,u \ z). K(x,((y \ z) \ z) \ u) = K(x,T(y,y \ z) \ u). K(x,T(y,y \ z) \ u) = K(x,((y \ z) \ z) \ u). (x \ 1) * (L(x \ 1,x,y) \ z) = (z / L(x \ 1,x,y)) * (x \ 1). (x / L(y \ 1,y,z)) * (y \ 1) = (y \ 1) * (L(y \ 1,y,z) \ x). x * y != (z / L(u \ 1,u,w)) * (u \ 1) | ((u \ 1) * (L(u \ 1,u,w) \ z)) / y = x. ((x \ 1) * (L(x \ 1,x,y) \ z)) / (1 / x) = (z / L(x \ 1,x,y)) * K(x \ 1,x). x != T(y,(z \ 1) \ 1) | x = T(y,z). T(x,R(y,z,z \ 1) \ (y * z)) = T(x,z). K(((x * y) * z) \ (y * z),T(R(x,y,z),u)) = K(R(x,y,z) \ 1,R(x,y,z)). K(((x * y) * z) \ (y * z),R(T(x,u),y,z)) = K(R(x,y,z) \ 1,R(x,y,z)). x != K(R(y,z,u) \ 1,R(y,z,u)) | x = K(y \ 1,y). K(((x * y) * z) \ (y * z),R(T(x,u),y,z)) = K(x \ 1,x). K(x \ 1,x) * ((y * z) / ((x * y) * z)) = (((y * z) / ((x * y) * z)) \ 1) \ 1. (((x * (1 / (1 / y))) \ x) \ 1) * (z / (L(1 / y,y,x) \ 1)) = z * K(1 / (1 / y),z * ((x * (1 / (1 / y))) \ x)). (1 / ((x * y) \ x)) * (z / (L(1 / y,y,x) \ 1)) = z * K(1 / (1 / y),z * ((x * (1 / (1 / y))) \ x)). x != T((y * z) \ y,u) | x = L(T(z \ 1,u),z,y). K(x \ 1,y) * ((z * x) \ z) = L(T(x \ 1,y),x,z). K(x,y) * ((z * (1 / x)) \ z) = T((z * (1 / x)) \ z,y). x * y != K(z,u) * ((w * (1 / z)) \ w) | x \ T((w * (1 / z)) \ w,u) = y. T(x,y) \ T((z * (1 / x)) \ z,y) = x \ ((z * (1 / x)) \ z). T((x * (1 / y)) \ x,z) != u | T(K(y,z),(x * (1 / y)) \ x) = ((x * (1 / y)) \ x) \ u. (((x \ 1) * y) / (x \ 1)) * ((z * x) \ z) = y * L(T(x \ 1,y),x,z). (((x \ 1) * y) / (x \ 1)) * ((z * x) \ z) != u | L(x \ 1,x,z) * y = u. 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). x != K((((y \ 1) * (z * u)) / u) \ 1,u / (z * u)) | x = K(y * (u / (z * u)),z \ 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). x \ (y \ ((z \ (y * x)) * z)) != u | K((y \ z) \ x,z) = u. K((x / y) \ z,x) != u | K((y \ x) \ z,x) = u. T(L(K(x,y),x,z),x * u) != w | (x * u) \ (T(x,y) * u) = w. (((x \ y) \ y) \ L((x \ y) \ y,z,u)) * K(x,x \ y) = L((x \ y) \ y,z,u) / x. x * y != T(z,z * u) * K(u,z) | x \ L(z,u,z) = y. (x * K(y,x)) \ L(x,y,x) = K(x,x * y). x != (y / z) * (y / (y / z)) | x = (z \ y) * z. (x \ y) / (y \ (y / x)) = (x \ y) * x. ((x \ y) * x) \ (x \ y) = y \ (y / x). L(x \ 1,x,x \ y) = y \ (y / x). (x \ (x / (y \ 1))) \ y = (L(y,y \ 1,(y \ 1) \ x) \ 1) * y. x * (y * ((x \ 1) / y)) = K(y,(x * y) \ 1). x != K(y,z) | x = u / (K(z,y) * u). K(x * (y / (1 / z)),u) = w / (K(u,x * (y / (z \ 1))) * w). x / (K(y,z * (u / (w \ 1))) * x) = K(z * (u / (1 / w)),y). K(x * (y / (1 / z)),u) != w | K(x * (y / (z \ 1)),u) = w. x != K(y \ 1,y) * K(z,y) | x = (y \ 1) * (y * K(z,y)). (T(x,y) \ 1) * x = (x \ 1) * (x * K(y,x)). (x \ 1) * (x * K(y,x)) = (T(x,y) \ 1) * x. (x \ 1) * ((y * x) / y) = (T(x,y) \ 1) * x. (x * y) * ((y * x) \ 1) = K(x,y). x * y != K(z \ (z * u),w) | x \ K(u,w) = y. (x * y) \ K(x,y) = (y * x) \ 1. x \ K(y,y \ x) = ((y \ x) * y) \ 1. ((x \ y) * x) \ 1 = y \ K(x,x \ y). (((x * y) \ x) * (x * y)) \ 1 = x \ K(x * y,y \ 1). (x * (y / x)) \ 1 = y \ K(y * (x \ 1),(x \ 1) \ 1). x \ K(x * (y \ 1),(y \ 1) \ 1) = (y * (x / y)) \ 1. x \ K(x * (y \ 1),y) = (y * (x / y)) \ 1. x \ K(y \ x,y) = (y * (x / y)) \ 1. (x * (y / x)) \ 1 = y \ K(x \ y,x). K(x \ 1,y * x) * ((1 / x) \ y) != z | y / (1 / x) = z. x / (1 / y) = (K(x * y,y \ 1) / y) \ x. (K(x * y,y \ 1) / y) \ x = x / (1 / y). K(L(1 / x,x,y),z) = K(x \ 1,z). K(x \ 1,y) * L(1 / x,x,z) = L(T(1 / x,y),x,z). (x / L(y \ 1,y,z)) * K(y \ 1,y) = x / L(1 / y,y,z). x != (y / L(z \ 1,z,u)) * K(z \ 1,z) | x = ((z \ 1) * (L(z \ 1,z,u) \ y)) / (1 / z). x / L(1 / y,y,z) = ((y \ 1) * (L(y \ 1,y,z) \ x)) / (1 / y). ((x \ 1) * (L(x \ 1,x,y) \ z)) / (1 / x) = z / L(1 / x,x,y). 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). 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 \ 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). 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 != L(y,(z \ 1) \ 1,u) | x = L(y,z,u). K(x,y \ 1) = L(K(x,y \ 1),y,z). L(K(x,y \ 1),y,z) = K(x,y \ 1). (x * (1 / y)) * K(z,y) = x * ((1 / y) * K(z,y)). (x * y) * K(z,y \ 1) = x * (y * K(z,y \ 1)). R(x,y,K(z,y \ 1)) = x. R(x,y \ z,K(u,z \ y)) = x. x * ((y \ z) * K(u,z \ y)) = (x * (y \ z)) * K(u,z \ y). (x * (y \ z)) * K(u,z \ y) = x * ((y \ z) * K(u,z \ y)). x \ (y * K(z,y \ x)) = (x \ y) * K(z,y \ x). (x * K(y \ x,x \ y)) * K(z,1 \ ((y \ x) \ 1)) = y * ((((y \ x) \ 1) \ 1) * K(z,1 \ ((y \ x) \ 1))). (x * K(y \ x,x \ y)) * K(z,(y \ x) \ 1) = y * ((((y \ x) \ 1) \ 1) * K(z,1 \ ((y \ x) \ 1))). (x * K(y \ x,x \ y)) * K(z,x \ y) = y * ((((y \ x) \ 1) \ 1) * K(z,1 \ ((y \ x) \ 1))). (x * y) \ ((x * (y * z)) * K(u,(x * (y * z)) \ (x * y))) = L(z,y,x) * K(u,(x * (y * z)) \ (x * y)). T(x \ y,z) * ((y \ x) * K(z,x \ y)) = T((x \ y) * (y \ x),z). (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. x / ((y \ z) * (z \ y)) = ((y \ z) * (z \ y)) \ x. T(x,y * ((z * y) \ z)) = x. R(x,y * ((z * y) \ z),(y * ((z * y) \ z)) \ 1) = ((y * ((z * y) \ z)) * x) * ((y * ((z * y) \ z)) \ 1). ((x * ((y * x) \ y)) * z) * ((x * ((y * x) \ y)) \ 1) = R(z,x * ((y * x) \ y),(x * ((y * x) \ y)) \ 1). (x * ((y * x) \ y)) \ z = z / (x * ((y * x) \ y)). x / (y * ((z * y) \ z)) = (y * ((z * y) \ z)) \ x. K(x,y * ((z * y) \ z)) = 1. T(x * ((y * x) \ y),z) = x * ((y * x) \ y). T(x * L(x \ 1,x,y),z) = x * ((y * x) \ y). 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). x != T(y,z) * ((y * z) \ z) | x = ((y * z) \ z) / (T(y,z) \ 1). x * ((y * x) \ y) = ((x * y) \ y) / (T(x,y) \ 1). ((x * y) \ y) / (T(x,y) \ 1) = x * ((y * x) \ y). ((x * (y / x)) \ (y / x)) / (T(x,y / x) \ 1) = x * (y \ (y / x)). (x \ (y \ x)) / (T(y,x / y) \ 1) = y * (x \ (x / y)). (x \ (y \ x)) / (((y \ x) \ x) \ 1) = y * (x \ (x / y)). ((x \ y) \ y) * (y \ (x \ y)) = x * (y \ (y / x)). x / (y * (z \ (z / y))) = (((z / y) \ z) * (z \ (z / y))) \ x. (((x / y) \ x) * (x \ (x / y))) \ z = z / (y * (x \ (x / y))). (x * (y \ (y / x))) \ z = z / (x * (y \ (y / x))). x / (y * (z \ (z / y))) = (y * (z \ (z / y))) \ x. (x * (1 / y)) * K(z,y) = x * (1 / T(y,z)). x * K(y,z) = (x / (1 / z)) * (1 / T(z,y)). (x / (1 / y)) * (1 / T(y,z)) = x * K(z,y). x * y != z * K(z,u) | T(z,u) / y = x. T(x,y) / (1 / T(y,x)) = x / (1 / y). ((x \ (1 / y)) * x) * y = K(y \ (x \ 1),x). (x * y) * ((z \ ((x * y) \ y)) * z) = K(x \ (z \ 1),z) * y. x / (K(y \ (z \ 1),z) * x) = K(z,x / (z / ((y * x) \ 1))). K(x,y \ (x \ 1)) = K(x,z / (x / ((y * z) \ 1))). K(x,y / (x / ((z * y) \ 1))) = K(x,z \ (x \ 1)). x != K(y,y / (y / z)) | x = K(y,z). K(x,y \ (x \ 1)) = K(x,(y * x) \ 1). K(x,(y * x) \ 1) = K(x,y \ (x \ 1)). 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)). (x * y) * (z * (((x * y) \ x) / z)) = x * K(z,y \ (z \ 1)). 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(x * K(y,x),K(x * K(y,x),y),z) = (z * K(x,y)) \ (z * x). x != L(y,K(y,z),u) | x = y. (x * K(y,z)) \ (x * y) = y * K(z,y). (x * K(y,z)) * (y * K(z,y)) = x * y. ((x / y) * K(y,z)) \ x = y * K(z,y). x / (y * K(z,y)) = (x / y) * K(y,z). (x / (y * K(z,y))) * u != w | ((x / y) * K(y,z)) * u = w. x != (y / z) * K(z,u) | x = (y * K(z,u)) / z. x / (y * K(z,y)) = (x * K(y,z)) / y. (x * K(y,z)) / y = x / (y * K(z,y)). x / ((y * z) / y) = (x / z) * K(z,y). x / (y / z) = (x / (z \ y)) * K(z \ y,z). (x / (y \ z)) * K(y \ z,y) = x / (z / y). (x / (y * K(z,y))) * y = x * K(y,z). (x / ((y * z) / y)) * z = x * K(z,y). (x / (y / (y / z))) * z = x * K(z,z \ y). x * K(y \ z,y) = (x * (y \ z)) / (z / y). (x * (y \ z)) / (z / y) = x * K(y \ z,y). (x * K(y \ z,y)) * (z / y) = x * (y \ z). x * (y / z) != (u * (y / z)) * (z \ y) | x = u * (z \ y). (x * (y / z)) * K(z \ y,z) = x * (z \ y). x * (y \ z) != u * K(y \ z,y) | x * (z / y) = u. x * K(y \ z,y) != u * (y \ z) | u * (z / y) = x. x * y = (x * ((z * y) / z)) * K(y,z). (x * ((y * z) / y)) * K(z,y) = x * z. x * y != z * K(y,u) | x * ((u * y) / u) = z. x * K(y,z) != u * y | u * ((z * y) / z) = x. (x * y) * R(z,x,y) = ((x * y) * z) * a(z * K(x * y,z),x,y). ((x * y) * z) * a(z * K(x * y,z),x,y) = (x * y) * R(z,x,y). ((x * y) * z) \ ((x * y) * R(z,x,y)) != u | u = a(z * K(x * y,z),x,y). ((x * y) * z) \ ((x * y) * R(z,x,y)) != u | a(z * K(x * y,z),x,y) = u. x != K(y,z) / ((y \ 1) \ 1) | x = y \ K(y,z). 1 / (x * y) = (x * y) \ K(x * y,x \ (1 / y)). (x * y) \ K(x * y,x \ (1 / y)) = 1 / (x * y). (x * K(y,z)) \ K(x * K(y,z),x \ K(z,y)) = 1 / (x * K(y,z)). (x * K(y,z)) * (1 / (x * K(y,z))) = K(x * K(y,z),x \ K(z,y)). ((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 * K(z,x))) * x = ((x \ y) * x) * K(z,x). T(1 / (K(x,y) / x),y) = 1 / (1 / x). x * (1 / (1 / y)) = (1 / (K(y,x) / y)) * x. (1 / (K(x,y) / x)) * y = y * (1 / (1 / x)). K(x,y * ((z * (1 / (1 / u))) * w)) = K(x,y * ((((K(u,z) / u) \ 1) * z) * w)). K(x,y * ((((K(z,u) / z) \ 1) * u) * w)) = K(x,y * ((u * (1 / (1 / z))) * w)). K(x,y * (((z * K(u,z)) * u) * w)) = K(x,y * ((u * (1 / (1 / z))) * w)). K(x,y * ((z * u) * w)) = K(x,y * ((z * (1 / (1 / u))) * w)). K(x,y * ((z * (1 / (1 / u))) * w)) = K(x,y * ((z * u) * w)). ((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 != K(y * (z \ 1),z) | x = K(z \ y,z). K(R(x,y,y \ 1),y) = K(y \ (y * x),y). K(R(x,y,y \ 1),y) = K(x,y). K(x,y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). 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(1 / y,z,u) \ 1) / y | x = 1 / (y * L(y \ 1,z,u)). L(1 / x,y,z) \ (1 / x) = 1 / (x * L(x \ 1,y,z)). 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,y,z)) = L(x,y,z) \ x. (1 / (x \ L(x,y,z))) * u != L(x,y,z) \ x | 1 = u. 1 = (L(x,y,z) \ x) * (x \ L(x,y,z)). (L(x,y,z) \ x) * (x \ L(x,y,z)) = 1. (L(x,y,z) \ x) * T(x \ L(x,y,z),u) = K(x \ L(x,y,z),u). (1 / (x * L(x \ 1,y,z))) \ (L(x \ 1,y,z) \ 1) = (x \ 1) \ 1. 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. K((L(x,y,z) \ x) \ 1,L(x,y,z) \ x) * (((x \ L(x,y,z)) * u) / (1 * u)) = ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1. ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K((L(x,y,z) \ x) \ 1,L(x,y,z) \ x) * (((x \ L(x,y,z)) * u) / (1 * u)). ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),L(x,y,z) \ x) * (((x \ L(x,y,z)) * u) / (1 * u)). T(x,y / x) / (1 / (x \ y)) = x / (1 / (y / x)). L(x,y,y \ 1) \ x = a(y \ 1,y,x). x != L(y,z,u) \ y | x = 1 / (y \ L(y,z,u)). a(x \ 1,x,y) = 1 / (y \ L(y,x,x \ 1)). 1 / (x \ L(x,y,y \ 1)) = a(y \ 1,y,x). x / a(y \ 1,y,x) = L(x,y,y \ 1). L(x,y,y \ 1) \ x != z | z = a(y \ 1,y,x). L(x,y,y \ 1) \ x != z | a(y \ 1,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 \ L(y \ z,y,x)) * z) = x * (z * K(y \ 1,z)). x != (y * T(y \ z,u)) * (z \ 1) | x = K((y * (z \ 1)) \ 1,u). K(x \ y,y) = K((x * (y \ 1)) \ 1,y). K((x * (y \ 1)) \ 1,y) = K(x \ y,y). x * (y \ K(y \ x,x)) = T(x * (y \ 1),x). (a(x \ 1,x,y) \ 1) * z != u | (y \ L(y,x,x \ 1)) * z = u. ((x * (K(y \ x,x) * (y \ 1))) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). (T(x * (y \ 1),x) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (((x \ L(x,y,z)) * u) / (1 * u)). ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (((x \ L(x,y,z)) * u) / u). ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (x \ L(x,y,z)). x != K(y,z) * y | x = T(y,z). ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = T(x \ L(x,y,z),a(z,y,x)). ((((x \ L(x,y,z)) * u) / (1 * u)) \ 1) \ 1 = T(x \ L(x,y,z),a(z,y,x)). T(x \ L(x,y,z),a(z,y,x)) = ((((x \ L(x,y,z)) * u) / (1 * u)) \ 1) \ 1. T(x \ L(x,y,z),a(z,y,x)) = ((((x \ L(x,y,z)) * u) / u) \ 1) \ 1. T(x \ L(x,y,z),a(z,y,x)) = ((x \ L(x,y,z)) \ 1) \ 1. (L(x,y,z) \ x) * (((x \ L(x,y,z)) \ 1) \ 1) = K(x \ L(x,y,z),a(z,y,x)). (x \ L(x,y,z)) * (L(x,y,z) \ x) = K(x \ L(x,y,z),a(z,y,x)). 1 = K(x \ L(x,y,z),a(z,y,x)). K(x \ L(x,y,z),a(z,y,x)) = 1. x * K(y \ L(y,z,u),a(u,z,y)) != 1 | 1 = x. 1 = K(a(x,y,z),z \ L(z,y,x)). K(a(x,y,z),z \ L(z,y,x)) = 1. ((x \ (x / y)) * x) * ((z \ L(K(y \ 1,x) \ z,K(y \ 1,x),x / y)) * z) = (x / y) * (z * K(K(y \ 1,x) \ 1,z)). ((x \ (x / y)) * x) * ((z \ L(K(x,y \ 1) * z,K(y \ 1,x),x / y)) * z) = (x / y) * (z * K(K(y \ 1,x) \ 1,z)). T(x,y * x) * T(y,x) = ((x * y) / R(x,y,x)) * x. ((x * y) / R(x,y,x)) * x = T(x,y * x) * T(y,x). (x / R(y,y \ x,y)) * y = T(y,(y \ x) * y) * T(y \ x,y). T(x,(x \ y) * x) * T(x \ y,x) = (y / R(x,x \ y,x)) * x. T(x,y) * T(x \ y,x) = (y / R(x,x \ y,x)) * x. (x / R(y,y \ x,y)) * y = T(y,x) * T(y \ x,y). x != T(y,z) * T(y \ z,y) | 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). R(x,K(y,z),y) = x. x * (1 / L(x,y,z)) = L(x,y,z) \ T(x,x \ 1). L(x,y,z) \ T(x,x \ 1) = x * (1 / L(x,y,z)). ((x \ (y * K(z,x))) * x) / K(z,x) = T(x,z) * T(T(x,z) \ y,x). (((x \ y) * x) * K(z,x)) / K(z,x) = T(x,z) * T(T(x,z) \ y,x). (x \ y) * x = T(x,z) * T(T(x,z) \ y,x). T(x,y) * T(T(x,y) \ z,x) = (x \ z) * x. T(x,y) * T(y,z) = (y \ (x * T(y,z))) * y. (x \ (y * T(x,z))) * x = T(y,x) * T(x,z). 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). T(x,y) * K(y,z) = T(x * K(y,z),y). K(x,y) * T(z,T(x,y)) = T(z,x) * K(x,y). 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(x,y) * K(y,z) != u | T(x * K(y,z),y) = u. T(T(x,K(y,z)),y) = T(x,T(y,z)). 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)). 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,y) / y) * T(y,z) = T(x * K(y,z),y). x * K(y,z) != T((K(z,y) * u) * K(y,z),w) | x = K(z,y) * T(u,w). T(K(x,y) * z,y) = K(x,y) * T(z,y). K(x,y) * T(z,y) = T(K(x,y) * z,y). x * K(y,z) != T(u * K(y,z),w) | x = K(z,y) * T(K(z,y) \ u,w). T(x,y) = K(z,y) * T(K(z,y) \ x,y). K(x,y) * T(K(x,y) \ z,y) = T(z,y). x \ T(x * K(y,z),y) != u | K(x,y) * K(y,z) = u. x != T((y * z) / y,T(y,u)) | x = T(z * y,K(y,u)) / y. T(x,K(y,z)) = T(x * y,K(y,z)) / y. T(x * y,K(y,z)) / y = T(x,K(y,z)). T(T(x,K(y,z)),y) != u | T(x,T(y,z)) = u. 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,K(y,z)) * y = T(x * y,K(y,z)). T(x,K(y,z)) / y = T(x / y,K(y,z)). x \ T(L(y,x \ 1,x),K(x,z)) = T((x \ 1) * y,K(x,z)). x \ y = T(x \ y,K(x,y)). T(x \ y,K(x,y)) = x \ y. (x \ 1) * T(y,K(x,z)) = T((x \ 1) * y,K(x,z)). K(x,y) * T((x \ 1) * z,K(x,y)) = (x \ 1) * (z * K(x,y)). ((x \ 1) * y) * K(x,z) = (x \ 1) * (y * K(x,z)). L(K(x,y),z,x \ 1) = K(x,y). K(x,y) * (x \ y) = (x \ y) * K(x,y). (x \ y) * K(x,y) = K(x,y) * (x \ y). T(x / y,T(y,z)) != u | T(y \ x,K(y,z)) = u. L(x,T(y,T(x,z)),x) = L(x,T(y,K(x,z)),x). T(K(x,y),z) = T(K(x,y),T(z,y)). T(K(x,y),T(z,y)) = T(K(x,y),z). T(x,y) = T(x,T(y,T(x,z))). T(x,T(y,T(x,z))) = T(x,y). T(x,y) * K(z,y) = T(x * K(z,y),y). T(x / y,z) * y = K(u,z) * (y * T(y \ (K(u,z) \ x),z)). K(x,y) * (z * T(z \ (K(x,y) \ u),y)) = T(u / z,y) * z. K(x,y) * T(z,x) = T(K(x,y) * z,x). 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)). K(x,y) * T(K(x,y) \ z,x) = T(z,x). K(x,y) * L(T(z,x),u,w) = T(K(x,y) * L(z,u,w),x). x * T(K(x,y) * z,x) = K(x,y) * (z * x). x != y * T(y \ ((z \ 1) \ y),u) | x = K(z,u) * ((z \ 1) \ y). T((x \ 1) \ K(y,z),y) = K(x,y) * ((x \ 1) \ K(y,z)). K(x,y) * ((x \ 1) \ K(y,z)) = T((x \ 1) \ K(y,z),y). T(T(x,y) * K(z,y),K(y,u)) = T(x * K(z,y),T(y,u)). K(x,y) * (z * T(z \ (K(x,y) \ u),y)) = z * T(z \ u,y). 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(x \ 1,y) = K(R(x,z,x) \ 1,y). K(R(x,y,x) \ 1,z) = K(x \ 1,z). x != K(R(y \ 1,z,u) \ 1,w) | x = R(K(y,w),z,u). K((x \ 1) \ 1,y) = R(K(x,y),z,x \ 1). R(K(x,y),z,x \ 1) = K((x \ 1) \ 1,y). R(K(x,y),z,x \ 1) = K(x,y). K(x,y) = K(x,R(y,z,x \ 1)). K(x,R(y,z,x \ 1)) = K(x,y). K(x,y) * (z * (x \ 1)) = (K(x,y) * z) * (x \ 1). (K(x,y) * z) * (x \ 1) = K(x,y) * (z * (x \ 1)). L(x \ 1,y,K(x,z)) = x \ 1. (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,y) * T(z,x \ 1) = T(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(x,y,K(x \ 1,z)) = x. x \ (y * K(x \ 1,z)) = (x \ y) * K(x \ 1,z). T(x,y) = R(T(x,y),z,K(x \ 1,u)). R(T(x,y),z,K(x \ 1,u)) = T(x,y). x != R(T(y,z * K(y \ 1,u)),z,K(y \ 1,u)) | x = T(y,z). T(x,y * K(x \ 1,z)) = T(x,y). x * y != T(z,u * K(z \ 1,w)) | x \ T(z,u) = y. x \ T(x,y) = K(x,y * K(x \ 1,z)). K(x,y * K(x \ 1,z)) = x \ T(x,y). (x \ 1) * ((K(y,z) \ u) * T((K(y,z) \ u) \ ((x \ 1) \ u),y)) = ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u). (x \ 1) * ((K(y,z) * u) * T((K(z,y) \ u) \ ((x \ 1) \ u),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). (x \ 1) * ((K(y,z) * u) * T((K(y,z) * u) \ ((x \ 1) \ u),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). (x \ 1) * (K(y,z) * (u * T(u \ (K(y,z) \ ((x \ 1) \ u)),z))) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). (x \ 1) * (y * T(y \ ((x \ 1) \ y),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,u)))) * (K(z,u) \ y). x != y * (z * T(z \ (y \ z),u)) | x = K(y \ 1,u) * z. ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u) = K((x \ 1) \ 1,y) * u. ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u) = K(x,y) * u. (K(x,y) * K(y,z)) * (K(y,z) \ u) = K(x,y) * u. (K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u). R(K(x,y),K(y,z),u) = K(x,y). L(x,K(y,z),K(u,y)) = x. 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). x * y != K(z,u) * (K(u,w) * (K(u,z) * v5)) | (K(u,w) * v5) / y = x. (K(x,y) * z) / (K(x,u) * z) = K(u,x) * K(x,y). x * y != (K(z,u) * K(u,w)) * v5 | (K(z,u) * (K(u,w) * v5)) / y = x. (K(x,y) * (K(y,z) * u)) / (K(x,y) * K(y,z)) = u * K(K(x,y) * K(y,z),u). (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). K(x,y) * R(K(x,y) \ 1,z,u) = R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5). R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(K(x,y) \ 1,z,u). R(K(x,y) * R(K(x,y) \ 1,z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). 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). 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. 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(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 != w | K(x,y) * (K(y,z) * u) = w. x / (K(y \ x,z) * (y * (x / y))) = K(z,y \ x) * K(y \ x,y). x / (K(((y \ 1) * x) \ x,z) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). x / (T(K(y,z),x) * (((y \ 1) * x) * R(y,y \ 1,x))) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). x / (T(K(y,z),x) * ((y \ x) * y)) = K(z,((y \ 1) * x) \ x) * K(((y \ 1) * x) \ x,(y \ 1) * x). K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / (T(K(y,x),z) * ((y \ z) * y)). x != T(y,z) | x = y * K(y,z). T(x,T(y,T(x,z))) = x * K(x,y). x != y * (K(z,u) * K(u,z)) | x = y. (K(x,y) * K(y,z)) * K(y,x) = K(y,z). (K(x,y) * K(z,x)) * u = K(x,y) * (K(z,x) * u). T(K(x,y) * K(z,x),u) = u \ (K(x,y) * (K(z,x) * u)). x \ (K(y,z) * (K(u,y) * x)) = T(K(y,z) * K(u,y),x). L(x,K(y,z),K(z,u)) = x. x \ (K(y,z) * (K(u,y) * x)) != w | T(K(y,z) * K(u,y),x) = w. (K(x,y) * z) / (K(y,u) * (K(x,y) * z)) = R(K(u,y),K(x,y),z). x != T(y / (y / z),z \ y) | x = z. L(T(x / (x / y),y \ x),K(z,u),K(u,w)) = y. K(x,y) * (K(z,x) * u) = (K(x,z) * K(y,x)) \ u. (K(x,y) * K(z,x)) \ u = K(x,z) * (K(y,x) * u). L(x,L(K(y,z),u,w),K(z,v5)) = x. (K(x,y) * L(K(z,x),u,w)) * v5 = K(x,y) * (L(K(z,x),u,w) * v5). (K(x,y) * L(K(x,z) \ 1,u,w)) * v5 = K(x,y) * (L(K(z,x),u,w) * v5). (K(x,y) * z) \ (K(x,u) * z) = T(K(x,u) * K(y,x),K(x,y) * z). T(K(x,y) * K(z,x),K(x,z) * u) = (K(x,z) * u) \ (K(x,y) * u). K(x,y) * L(T(z,x \ 1),u,w) = T(K(x,y) * L(z,u,w),x \ 1). T(x,y) \ (z * x) = T(K(y,x) * z,x). K(x,y) * T(K(x * y,x),y) = T(x \ R(x,y,x),y). x != K(y,z) * (K(u,y) * w) | x = K(u,y) * (K(y,z) * 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). (K(x,y) * K(z,x)) \ u != w | K(y,x) * (K(x,z) * u) = w. x != K(y,z) * (K(u,y) * w) | x = (K(y,z) * K(u,y)) * w. (K(x,y) * K(y,z)) \ u = (K(y,x) * K(z,y)) * u. R(x,y,z \ 1) * K(z,x) = R(x * K(z,x),y,z \ 1). K(x,y) = R(K(x,y),K(z,y),u). R(K(x,y),K(z,y),u) = K(x,y). 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 * K(x \ 1,z)) = K(x,y). x * y != T(x * z,K(u,x * z)) | y = z. T(x,K(y,y * x)) = x. T(x,y) \ z = T(K(y,x) * (z / x),x). T(K(x,y) * (z / y),y) = T(y,x) \ z. ((1 / ((x * y) \ x)) / y) * T(y,z) = T((1 / ((x * y) \ x)) * K(y,z),y). T(T(x,y),K(y,z)) != u | T(x,T(y,z)) = u. T(x / y,K(y,x)) = x / y. T(x / y,K(x,y)) = x / y. T(x / y,x) = T(x / y,T(x,y)). T(x / y,T(x,y)) = T(x / y,x). x != R(y,z,u) * K(w,y) | x = K(w,y) * R(y,z,u). R(x * K(y,x),z,y \ 1) = K(y,x) * R(x,z,y \ 1). K(x,y) * R(y,z,x \ 1) = R(y * K(x,y),z,x \ 1). x * y != K(z,u) * R(u,w,z \ 1) | x \ R(u * K(z,u),w,z \ 1) = y. x \ R(x * K(y,x),z,y \ 1) = K(y,x) * (x \ R(x,z,y \ 1)). x \ R(x * K(y,x),y,y \ 1) = K(y,x) * a(x,y,y \ 1). x \ ((y * x) * (y \ 1)) = K(y,x) * a(x,y,y \ 1). K(x,y) * a(y,x,x \ 1) = y \ ((x * y) * (x \ 1)). T(x,T(y,T(x,z))) != u | T(x,y) = u. T(x,R(T(x,y) \ z,u,w)) != v5 | T(x,R(z / T(x,y),u,w)) = v5. T(x,y) / z = T(T(x,y) / z,K(z,x)). T(T(x,y) / z,K(z,x)) = T(x,y) / z. T(T(x,y) / z,K(x,z)) = T(x,y) / z. T(T(T(x,y \ x) / y,K(x,y)),x) = x / y. T(x * K(y,z),T(y \ x,K(y,z))) = T((x / y) * T(y,z),x / y). (K(x,y) * z) * x = K(x,y) * (z * x). x \ (K(x,y) * (z * x)) != u | u = T(K(x,y) * z,x). x \ (K(x,y) * (z * x)) != u | T(K(x,y) * z,x) = u. R(K(x,y),z,x) = K(x,y). L(x,y,K(x,z)) = x. (K(x,y) * (z * x)) \ (K(x,y) * z) != u | L(x \ 1,x,K(x,y) * z) = u. 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) * L(x,u,w) = K(x,y) * (z * L(x,u,w)). (K(x,y) * z) * x != u | K(x,y) * (z * x) = u. (K(x,y) * z) * R(x,u,w) = K(x,y) * (z * R(x,u,w)). (K(x,y) * z) / T(x,u) = K(x,y) * (z / T(x,u)). 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). (K(x,y) * z) * K(u,x) = K(x,y) * (z * K(u,x)). L(x \ y,z,x \ y) = L(x \ y,z,y / x). L(x \ y,z,y / x) = L(x \ y,z,x \ y). L(x,y,T(x,z)) = L(x,y,x). L(x,y,T(z,x)) != u | L(x,y,z) = u. T(L(x,y,x),z) = L(T(x,z),y,T(x,u)). L(T(x,y),z,T(x,u)) = T(L(x,z,x),y). L(x / y,z,y \ x) = L(x / y,z,x / y). L(x / y,z,x / y) = L(x / y,z,y \ x). x != T(L(y,z,y),z) | x = T(y,y * z). L(T(x,y),y,T(x,z)) = T(x,x * y). L(T(x,y),z,T(x,u)) = L(T(x,y),z,x). K((K(x,y) * z) \ (K(x,y) * u),x) = K(z \ u,x). K(x,y) = K(R(x,z,x),y). K(R(x,y,x),z) = K(x,z). 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 / x) / z) = K(x,y / (z * x)). T(x * y,x) * K(x,y) = (y \ T(x * y,x)) * y. K(T(x,x \ y),z) = K(T(x,y),z). K(T(x,y),z) = K(T(x,x * y),z). K(T(x,x * y),z) = K(T(x,y),z). x * K(R(x,y,x),z) = T(x,z). 1 / K(x,y) = K(y,R(x,z,x)). K(x,R(y,z,y)) = 1 / K(y,x). K(x,y) * (R(x,z,x) * u) = R(T(x,y),z,x) * u. ((K(x,y) / R(x,z,x)) * x) \ x = R(x * K(y,x),z,x). K(x,R(y,z,y)) = K(x,y). K(x,R(y,z,y)) != u | K(x,y) = u. K(x,y) = R(K(x,y),z,y). R(K(x,y),z,y) = K(x,y). K(x,T(y,y \ z)) != u | K(x,T(y,z)) = u. K(x,y) * (z * y) = (K(x,y) * z) * y. (K(x,y) * z) * y = K(x,y) * (z * y). L(x,y,K(z,x)) = x. ((x \ 1) \ (K(y,x) * z)) * (x \ 1) = (K(y,x) * z) * K(K(y,x) * (z * x),x \ 1). (K(x,y) * z) * K(K(x,y) * (z * y),y \ 1) = ((y \ 1) \ (K(x,y) * z)) * (y \ 1). T(x,y) = L(T(x,y),z,K(u,x)). L(T(x,y),z,K(u,x)) = T(x,y). K(x,y) = L(K(x,y),z,K(u,x)). L(K(x,y),z,K(u,x)) = K(x,y). K(x,y) = L(K(x,y),z,K(u,y)). L(K(x,y),z,K(u,y)) = K(x,y). (K(x,y) * z) * K(u,y) = K(x,y) * (z * K(u,y)). K(x,T(y,y \ z)) = K(x,T(y,z)). K(x,y) * T(R(y,z,y),x) = R(y,z,y). R(x,y,x) * K(z,x) = R(x * K(z,x),y,x). x != K(y,T(z,z \ u)) | x = T(K(y,z),u). K(x,T(y,z)) = T(K(x,y),z). T(K(x,y),z) = K(x,T(y,z)). K(x,(y \ z) \ z) = K(x,T(y,z)). K(x,y \ z) = K(x,T(z / y,z)). K(x,T(y / z,y)) = K(x,z \ y). K(x,T(y,z \ 1)) = K(x,T(y,z \ y)). K((x \ y) \ y,z) = K(x,T(z,y)). K(x \ y,z) = K(y / x,T(z,y)). K(x / y,T(z,x)) = K(y \ x,z). K(x,y) = K(x,T(y,K(x,z))). K(x,T(y,K(x,z))) = K(x,y). K(T(x,y) \ 1,z) = K(x \ 1,T(z,y)). x != K(y * z,T(y,z)) | x = K(y * z,y). T(K(x * y,x),y) = K(x * y,x). x * T(K(y,z),u) = x * K(y,T(z,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(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)). 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,R(z,u,w)),v5) | x = R(T(K(y,z),v5),z * u,w). K(x,T(R(y,z,u),w)) = R(T(K(x,y),w),y * z,u). R(T(K(x,y),z),y * u,w) = K(x,T(R(y,u,w),z)). x != T(K(y,z),u * z) | x = K(y,T(z,u)). K(x,T(y,z * y)) = K(x,T(y,z)). x != T(K(1 / y,z),u) | x = K(1 / T(y,u),z). K(1 / x,T(y,z)) = K(1 / T(x,z),y). K(1 / T(x,y),z) = K(1 / x,T(z,y)). x != 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),R(y,u,w)) | x = K(y,z). K(x,T(y,R(x,z,u))) = K(x,y). x != T(K(y,z),L(y,u,w)) | x = K(y,z). K(x,T(y,L(x,z,u))) = K(x,y). x != T(K(y,z),1 / y) | x = K(y,z). K(x,T(y,1 / x)) = K(x,y). T(K(x,T(y,z)),u) = K(x,T(T(y,u),z)). T(L(K(x,y),z,u),w) = L(K(x,T(y,w)),z,u). T(K(x,L(y,z,u)),w) = K(x,L(T(y,w),z,u)). x * K(y,T(z,x)) = K(y,z) * x. x * K(y,T(z,x)) != u | K(y,z) * x = u. L(x \ K(y,T(z,u)),x,u) = (u * x) \ (K(y,z) * u). x * (y * K(z,T(u,y))) = x * (K(z,u) * y). x * (y * K(z,T(u,x * y))) = L(K(z,u),y,x) * (x * y). x * (y * K(z,T(u,y))) != w | x * (K(z,u) * y) = w. T(x,K(y,T(z,x))) = T(x,K(y,z)). x * T(K(x,y),z) = T(x,T(y,z)). K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,K(z \ y,T(z,u))). K(x,T(y,z)) \ T(u / (u / K(x,y)),z) = K(K(x,y) \ u,T(K(x,y),z)). T(x,y) * K(z,T(u,x)) != w | K(x,y) * (K(z,u) * x) = w. T(K(x,y),y \ 1) != z | K(x,y) = z. K(x,T(y,K(z,u))) * K(u,z) = K(u,z) * K(x,y). K(x,K(y,z)) * (K(z,y) * u) = K(z,T(y,x)) * u. T(L(K(x,y),z,u),w) = K(x,T(L(y,z / y,u),w)). K(x,T(L(y,z / y,u),w)) = T(L(K(x,y),z,u),w). K(x / y,T(z,x)) != u | K(y \ x,z) = u. K(x,T(y / z,y)) != u | K(x,z \ y) = u. R(K(x,T(y,z)),K(y,x) * u,(K(y,x) * u) \ z) = z \ (u * ((K(y,x) * u) \ 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). L(K(x,T(y,z)),z,u) = K(x,(u * (y \ z)) \ (u * z)). K(x,(y * (z \ u)) \ (y * u)) = L(K(x,T(z,u)),u,y). T(x,K(y,x) * z) = T(x,z). x * K(x,y) = T(x,R(y,z,x)). T(x,R(y,z,x)) = x * K(x,y). T(x,R(y,z,x)) = T(x,y). T(x,R(y,z,x)) != u | T(x,y) = u. T(x,T((y * x) / z,z / x)) != u | T(x,(z / x) \ y) = u. x * y != K(z,u) * (T(z,u) \ w) | (z \ w) / y = x. (x \ y) / K(x,T(z,T(x,z) \ y)) = T(x,z) \ y. x * y != K(z,u) * w | x \ (w * K(z,T(u,w))) = y. x \ (y * K(z,T(x,y))) = T(x,z) \ y. (x \ y) * z != K(y \ x,u) * (x \ y) | z = K(y \ x,u). K(x \ y,T(z,y \ x)) = K(x \ y,z). 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 * K(y,T(x,z))) = z. K(x,y) * z != z * u | K(x,T(y,z)) = u. x * K(y,T(T(z,x),u)) = K(y,T(z,u)) * x. x * K(y,L(T(z,x),u,w)) = K(y,L(z,u,w)) * x. x * K(y,x \ z) = K(y,z / x) * x. K(x,y / z) * z = z * K(x,z \ y). R(x,y,K(z,T(u,y))) * (K(z,u) * y) = (x * y) * K(z,T(u,y)). x / L(K(y,T(z,u)),u,x / (K(y,z) * u)) = (x / (u * K(y,T(z,u)))) * u. (K(x,y) * z) * x = z * T(x,T(y,z)). T(x,K(x \ 1,y) * z) = T(x,z). x * K(y,K(z,T(u,x))) = K(y,K(z,u)) * x. L(x \ 1,x,K(x,y) * z) = L(x \ 1,x,z). T(x,K(y,z)) = (K(y,z) \ x) * K(y,z). (K(x,y) \ z) * K(x,y) = T(z,K(x,y)). K(x,y) * z != K(u,y) * (w * K(x,y)) | T(K(u,y) * w,K(x,y)) = z. T(K(x,y) * z,K(x,y)) = z * K(x,y). x * K(y,z) != K(y,z) * u | x = T(u,K(z,y)). K(x,y) * z = T(z * K(x,y),K(y,x)). T(x * K(y,z),K(z,y)) = K(y,z) * x. x * y != T(z,y) | x = z / T(y,z). K(x,y) \ z = z / T(K(x,y),z). x / T(K(y,z),x) = K(y,z) \ x. (K(x,y) * z) * K(y,x) = T(z,K(y,x)). x != K((y \ z) \ z,u \ (R(y,w,v5) * z)) | x = K(T(y,R(y,w,v5) * (y \ z)),(R(y,w,v5) \ u) \ z). K(x,T(y \ (R(x,z,u) * w),w)) = K(T(x,R(x,z,u) * (x \ w)),(R(x,z,u) \ y) \ w). K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,T(w \ (R(x,y,z) * u),u)). 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). L(x,K(y,T(z,u)),K(z,w)) = x. T((x * y) * K(x,y),x) = (y \ T(x * y,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). K(R(x / y,z,u) / w,y \ x) = K(w \ R(x / y,z,u),y \ x). x != L(K(y,z),u * y,w) | x = K(L(y,u,w),z). K(x,y) = K(L(x,z,K(u,y)),y). K(L(x,y,K(z,u)),u) = K(x,u). T(x,T(y,z) \ 1) = T(x,T(y \ 1,z)). 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). T(T(x,1 / y),K(1 / y,z)) = x * K(x,1 / T(y,z)). (R(x,y,x) \ T(x,z)) \ x = R(x * K(z,x),y,x). R(x * K(y,x),z,x) = K(y,x) * R(x,z,x). K(x,y) * R(y,z,y) = R(y * K(x,y),z,y). R(x,y,x) * R(K(z,x),u,w) = R(x * K(R(z \ 1,u,w) \ 1,x),y,x). R(x * K(R(y \ 1,z,u) \ 1,x),w,x) = R(x,w,x) * R(K(y,x),z,u). R(x * R(K(y,x),z,u),w,x) = R(x,w,x) * R(K(y,x),z,u). R(x,y,x) * R(K(z,x),u,w) = R(x * R(K(z,x),u,w),y,x). L(x,y \ (K(z,y) * u),T(y,u)) = L(x,y \ (K(z,y) * u),y). T(x,y) = T(x,K(x,z) * y). T(x,K(x,y) * z) = T(x,z). T(x,y \ z) = T(x,T(y,x) \ z). T(x,T(y,x) \ z) = T(x,y \ z). T(x,K(x,y) * z) = x * K(x,z). x != T(y,L(K(z,y),u,w)) | x = y. T(x,K(x,y) * L(K(z,x),u,w)) = x. x * y != T(z,K(z,u) * w) | x \ T(z,w) = y. x \ T(x,y) = K(x,K(x,z) * y). K(x,K(x,y) * z) = x \ T(x,z). T(x,y) * K(z,T(x,K(x,u) * y)) = T(x * K(z,x),K(x,u) * y). K(x,K(x,y) * z) = K(x,z). T(x,K(x,y) * z) != u | T(x,z) = u. T(x,K(x,y) * z) != u * w | u \ T(x,z) = w. K(x,y) = K(x,K(x,z) \ y). K(x,K(x,y) \ z) = K(x,z). K(x,K(y,x) \ z) = K(x,z). K(x,y) = K(x,K(z,x) * y). K(x,K(y,x) * z) = K(x,z). K(x,T(x,y) * z) = K(x,x * z). K(x,x \ y) = K(x,T(x,z) \ y). K(x,T(x,y) \ z) = K(x,x \ z). K(x,y \ z) = K(x,y \ T(z,x)). K(x,y \ T(z,x)) = K(x,y \ z). K(x,y / z) * K(z \ y,u) = K(z \ y,u) * K(x,y / z). K(x \ y,z) * K(u,y / x) = K(u,y / x) * K(x \ y,z). x != L(K(y,z),u * z,w) | x = K(y,L(z,u,w)). K(x,y) = K(x,L(y,z,K(x,u))). K(x,L(y,z,K(x,u))) = K(x,y). T(K(x,y),z) = L(T(K(x,y),z),u,K(x,w)). L(T(K(x,y),z),u,K(x,w)) = T(K(x,y),z). (K(x,y) * z) * K(x,u) = K(x,y) * (z * K(x,u)). K(x,y \ (K(x,z) * u)) = K(x,(K(z,x) * y) \ u). K(x,(K(y,x) * z) \ u) = K(x,z \ (K(x,y) * u)). T(T(K(x,y),z),u) = K(x,T(T(y,u),z)). (x * K(y,z)) * K(z,y) = x. K(x,y) * L(K(y,x) * z,u,w) = L(z * K(y,x),u,w) * K(x,y). L(x * K(y,z),u,w) * K(z,y) = K(z,y) * L(K(y,z) * x,u,w). K(x,y) * T(K(y,x) * z,u) = T(z * K(y,x),u) * K(x,y). T(x * K(y,z),u) * K(z,y) = K(z,y) * T(K(y,z) * x,u). T(K(x,y) * z,K(x,y)) != u | u = z * K(x,y). T(K(x,y) * z,K(x,y)) != u | z * K(x,y) = u. x * ((y * z) / y) = (x * z) * K(y,z). (x * y) * K(z,y) = x * ((z * y) / z). x * (y / z) = (x * (z \ y)) * K(z,z \ y). (x * (y \ z)) * K(y,y \ z) = x * (z / y). x \ T(y,x) = (x \ y) * K(y,x). (x \ y) * K(y,x) = x \ T(y,x). x * K(y,z) = x / K(z,y). x / K(y,z) = x * K(z,y). (x * K(y,z)) \ x = K(z,y). x * K(y,T(z,u)) != K(y,z) * u | x = u. (K(x,y) * z) * K(T(y,z),x) = z. x * K(y \ z,y) != u / (z / y) | x = u / (y \ z). (x / (y / z)) * K(z,z \ y) = x / (z \ y). x * K(y,z) != u * T(y,z) | x = u * y. (x * T(y,z)) * K(z,y) = x * y. x * K(y,z) != u / y | x = u / T(y,z). (x / y) * K(z,y) = x / T(y,z). x * K(1 / y,y) != L(y,z,u) | x = L((y \ 1) \ 1,z,u). L(x,y,z) * K(x,1 / x) = L((x \ 1) \ 1,y,z). x * K(y,z) != u / ((z * y) / z) | x = u / y. (x / ((y * z) / y)) * K(y,z) = x / z. x * y != (z * K(u,w)) * K(w,u) | z / y = x. x / T(y,z) = (x * K(z,y)) / y. (x * K(y,z)) / z = x / T(z,y). x != y * K(z,u) | x * K(u,z) = y. x * K(y,z) != u | u * K(z,y) = x. x * L(y,K(z,u),x * K(u,z)) = (x * K(u,z)) * (K(z,u) * y). x / K(y,z) != u | u = x * K(z,y). x / K(y,z) != u | x * K(z,y) = u. R((x * K(y,z)) / u,u,K(z,y)) = x / (u * K(z,y)). (x * K(y,z)) \ x != u | u = K(z,y). (x * K(y,z)) \ x != u | K(z,y) = u. (x * (y * K(z,u))) \ (x * y) != w | L(K(u,z),y * K(z,u),x) = w. (x * y) \ ((x * (y * K(z,u))) * K(u,z)) != w | a(x,y * K(z,u),K(u,z)) = w. K(x,y) * ((z * K(x,y)) \ (z * u)) = L(u * K(y,x),K(x,y),z) * K(x,y). L(x * K(y,z),K(z,y),u) * K(z,y) = K(z,y) * ((u * K(z,y)) \ (u * x)). x * (y \ 1) = (x * K(y,z)) * (T(y,z) \ 1). (x * K(y,z)) * (T(y,z) \ 1) = x * (y \ 1). (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T(x,z). x * y = (x * K(z,y)) * T(y,z). (x * K(y,z)) * T(z,y) = x * z. x * (y * K(z,y)) = (x * K(z,y)) * y. (x * K(y,z)) * z = x * (z * K(y,z)). x * (y / z) = (x * K(z,z \ y)) * (z \ y). (x * K(y,y \ z)) * (y \ z) = x * (z / y). K(x,y) = K(x,y * K(z,x \ 1)). K(x,y * K(z,x \ 1)) = K(x,y). (x * y) / T(y,z) = x * K(z,y). (x * K(y,z)) \ (x * z) = T(z,y). x / T(y \ x,z) = y * K(z,y \ x). x * y != (z * u) * L(w,u,z) | x \ (z * (u * w)) = y. ((x * y) * K(z,L(u,y,x))) \ (x * (y * u)) = T(L(u,y,x),z). (x * K(y,x \ z)) \ z = T(x \ z,y). x * T(y,z) != u * y | x = (u / T(y,z)) * y. x * K(y,z) = (x / T(z,y)) * z. (x / T(y,z)) * y = x * K(z,y). (x * K(y,z)) \ (x * z) != u | u = T(z,y). (x * K(y,z)) \ (x * z) != u | T(z,y) = u. (x * (y * K(z,u))) \ (x * (y * u)) != w | L(T(u,z),y * K(z,u),x) = w. (x * T(y,z)) * T(z,y) = (x * y) * z. (x * (1 / T(y,z))) * T(y,z) = (x * (1 / y)) * y. (x * (y \ z)) * T(y,y \ z) = (x * (z / y)) * y. (x * y) * T(z,y) = (x * ((z * y) / z)) * z. (x * ((y * z) / y)) * y = (x * z) * T(y,z). (x / y) \ (x / T(y,z)) = K(z,y). x != y | x = R(y,K(z,u),z). (x * y) / T(y,z) = R(x * K(z,y),K(u,w),u). R(x * K(y,z),K(u,w),u) = (x * z) / T(z,y). x * y != (z * u) / T(u,w) | T(x,y) = y \ (z * K(w,u)). T(x / T(y,z),y) = y \ (x * K(z,y)). x \ (y * K(z,x)) = T(y / T(x,z),x). (x / y) * K(z,y) != u | x / T(y,z) = u. x * K(y,z) != u * z | x / T(z,y) = u. T(x * K(y,z),T(x / T(z,y),z)) = T((x / T(z,y)) * z,x / T(z,y)). T((x / T(y,z)) * y,x / T(y,z)) = T(x * K(z,y),T(x / T(y,z),y)). (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)) * z = (x * z) * K(y,z). (x * T(y,z)) \ (x * y) = K(z,y). (x * T(x \ y,z)) \ y = K(z,x \ y). (x * ((y \ z) \ z)) * K(y \ z,y) = x * y. (((x * y) * T(z,u)) * K(u,z)) / (y * z) = R(R(x,y,T(z,u)),y * T(z,u),K(u,z)). R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = (((x * y) * T(z,u)) * K(u,z)) / (y * z). (x * y) * (z * K(y,z)) = (x * T(y,z)) * z. (x * T(y,L(z,y,x))) \ (x * (y * z)) = T(L(z,y,x),y). x != K(y,L(z \ 1,u,w) \ 1) | x = L(K(y,z),u,w). (x * K(L(y \ 1,z,u) \ 1,w)) \ x = L(K(w,y),z,u). (x * K(y,z)) * K(z,y) != u | u = x. ((x * K(y,z)) \ x) \ u = K(y,z) * u. (x * R(K(y,z),u,w)) \ x = K(z,R(y,y \ u,w)). K(x,R(y,y \ z,u)) = (w * R(K(y,x),z,u)) \ w. (x * ((y \ (x \ z)) * y)) \ z = K(y,(x * y) \ z). ((x \ 1) * (y * K(x,z))) \ ((x \ 1) * y) = K(z,x). (x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w). x / L(K(y,z),u,w) = x * L(K(z,y),u,w). (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). 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 * ((x \ y) * K(z,u))) \ y = L(K(u,z),x \ y,x). L(K(x,y),z * K(y,x),u) = L(K(x,y),z,u). (x * (y * K(z,u))) * L(K(u,z),y,x) = x * y. L(x * K(y,x),z,u) \ L(x,z,u) != w | K(L(x,z,u),y) = w. (x / y) \ (x / T(y,z)) != u | K(z,y) = u. (x * ((x \ y) * K(z \ (x \ y),u))) \ y != w | K(u,(x * z) \ y) = w. (x \ T(y,z)) * K(z,(x \ 1) \ (x \ y)) != u | u = x \ y. (x \ T(y,z)) * K(z,(x \ 1) \ (x \ y)) != u | x \ y = u. T(x,K(y,z)) * K(z,y) != u | u = K(z,y) * x. T(x,K(y,z)) * K(z,y) != u | K(z,y) * x = u. x != (y * (z * u)) / K(L(z,u,y),u) | x = y * (u * z). (x * (y * z)) * K(z,L(y,z,x)) = x * (z * y). R((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). R((x * K(y,z)) / u,u,K(z,y)) != w | x / (u * K(z,y)) = w. R((x / y) * K(z,u),K(u,z),y) != w | x / (K(u,z) * y) = w. R(x / (y * K(1 / z,z)),y / K(z,1 / z),K(z,1 / z)) = K(z,1 / z) * (x / y). K(x,1 / (K(y,z) / u)) = K(x,u * K(z,y)). x * (y * z) != (x * (z * y)) * u | K(y,L(z,y,x)) = u. (x * (y * z)) * u != x * (z * y) | K(z,L(y,z,x)) = u. (x * T(y,L(z,y,x))) \ (x * (y * z)) = L(T(z,y),y,x). (x * T(y,L(z * K(y,z),y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). (x * T(y,L(z,y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). (x * T(y,L(z,y,x))) \ (x * (T(y,z) * z)) = L(z,y,x). x * y != (z * T(u,w)) * T(w,u) | ((z * u) * w) / y = x. ((x * y) * z) / (x * T(y,z)) = T(z,y) * K(x * T(y,z),T(z,y)). (x * (y * z)) \ ((x * y) * z) = a(x,T(y,z),T(z,y)). a(x,T(y,z),T(z,y)) != u | a(x,y,z) = u. (x * (y * T(y \ (x \ z),u))) \ z != w | K(u,(x * y) \ z) = w. K(x,(y * z) \ u) = (y * (z * T(z \ (y \ u),x))) \ u. (x * (y * T(y \ (x \ z),u))) \ z = K(u,(x * y) \ z). (x * (y \ ((z \ (y * (x \ u))) * z))) \ u != w | K(z,(x * (y \ z)) \ u) = w. (x * (y * (z * T(z \ (y \ (x \ u)),w)))) \ u = K(w,(x * (y * z)) \ u). (x * (y \ T(y * (x \ z),u))) \ z = K(u,(x * (y \ 1)) \ 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). (x * (((y \ ((x \ z) * u)) * y) / u)) \ z = K(y,(x * (y / u)) \ z). (x * T(x \ y,z)) \ y = K(z,(x * K(z,u)) \ y). K(x,(y * K(x,z)) \ u) = (y * T(y \ u,x)) \ u. (x * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (z / y)) \ u). K(x,(y * (z \ x)) \ u) = K(x,(y * (x / z)) \ u). K(x,(y * (x / z)) \ u) = K(x,(y * (z \ x)) \ u). K(x,(y * (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). (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 * K(y,y \ z) = (x / (y \ z)) * (z / y). (x / (y \ z)) * (z / y) = x * K(y,y \ z). ((x / T(y,z)) * K(y,z)) \ (x / T(y,u)) = K(u,y). 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 \ z) = K(x,((x \ y) * x) \ z). K(x,((x \ y) * x) \ z) = K(x,y \ z). x * K(x,y \ z) = T(x,(y * K(x,u)) \ z). T(x,(y * K(x,z)) \ u) = x * K(x,y \ u). K(x,(K(x,y) * z) \ u) = K(x,z \ u). K(x,y \ z) = K(x,(y * K(u,x)) \ z). 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 \ 1) = K(x,y \ K(x,z)). K(x,y \ K(x,z)) = K(x,y \ 1). 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) = K(x,(K(u,x) * y) \ z). K(x,(K(y,x) * z) \ u) = K(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 / y,(y \ x) \ z) = K(x / y,(x / y) \ z). K(x / y,(x / y) \ z) = K(x / y,(y \ x) \ z). (x \ 1) / (x \ K(x,(y * (x \ z)) \ u)) = K((y * (z / x)) \ u,x). K((x * (y / z)) \ u,z) != w | K((x * (z \ y)) \ u,z) = w. x * K(y,z) = (x / z) * ((y * z) / y). (x / y) * ((z * y) / z) = x * K(z,y). x != y * ((z * u) / z) | x = y * (u * K(z,u)). (x * y) * K(z,y) = x * (y * K(z,y)). (x * y) * K(y \ z,y) = x * (z / (z / y)). K(x \ (y * z),z) = K((y \ x) \ z,z). K((x \ y) \ z,z) = K(y \ (x * z),z). x * K(y,z) = (x / z) * (z * K(y,z)). (x / y) * (y * K(z,y)) = x * K(z,y). L(K(x,y),y,z) = K(x,y). (x * (y * K(z,y))) * u != (x * y) * K(z,y) | 1 = u. 1 = a(x,y,K(z,y)). a(x,y,K(z,y)) = 1. x * (y * K(z,y)) != u * K(z,y) | x * y = u. x * K(y,z) != u * (z * K(y,z)) | u * z = x. (x * (y * K(z,y))) * z = (x * y) * T(z,y). T(x * (y * K(x,y)),x) = (y \ T(x * y,x)) * y. x != K(y,z) | x = L(K(y,z),z,u). L(K(x,y),y,z) = L(K(x,y),y,u). x != K(y,z) | x = K(y,((u * z) \ u) \ 1). L(K(x,y),y,z) = K(x,((u * y) \ u) \ 1). x != K(y,z \ u) | x = K(y,(u \ z) \ 1). L(K(x,y \ z),y \ z,u) = K(x,(z \ y) \ 1). K(x,y * x) = K(L(x,y,z),y * x). K(L(x,y,z),y * x) = K(x,y * x). L(K(x,y),z,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). a(x,y,K(z,T(y,u))) = 1. L(K(x,y),y,z) != u | u = K(x,y). L(K(x,y),y,z) != u | K(x,y) = u. K(x \ (y * z),z) != u | K((y \ x) \ z,z) = u. T(x * (y * K(x,y)),x) = R(x,y,x) * y. T(T(x,y) * y,x) = R(x,y,x) * y. T(x * L(y * K(x,y),z,u),x) = R(x,L(y,z,u),x) * L(y,z,u). T(x * L(y * K(x,y),z,u),x) != w * L(y,z,u) | R(x,L(y,z,u),x) = w. K(x \ (y * z),z) * K(z,(y \ x) \ 1) = z \ R(z,(y \ x) \ 1,z). x != K(y,z * y) | x = K(y,y * z). K(L(x,y,z),y * x) = K(x,x * y). x * L(x \ (R(x,y,x) * y),z,u) = T(x * L(x \ (T(x,y) * y),z,u),x). T(x * L(x \ (T(x,y) * y),z,u),x) = x * L(x \ (R(x,y,x) * y),z,u). x != K(y,(K(z,y) * u) \ w) | x = K(y,u \ (K(y,z) * w)). K(x,y \ z) = K(x,y \ (K(x,u) * z)). K(x,y \ (K(x,z) * u)) = K(x,y \ u). K(x,(x \ ((y * x) * (y \ 1))) \ z) = K(x,a(x,y,y \ 1) \ z). K(x,y \ T(x,z)) = K(x,y \ x). K(T(x,y),z \ T(T(x,u),y)) = K(T(x,y),z \ T(x,y)). K(x,y \ (x * z)) = K(x,y \ (z * x)). K(x,y \ (z * x)) = K(x,y \ (x * z)). K(x,y \ (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) = K(x,y \ ((x \ z) * x)). K(x,y \ ((x \ z) * x)) = K(x,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(K(x,y \ z),u) = K(x,T(y \ (K(x,w) * z),u)). K(x,T(y \ (K(x,z) * u),w)) = T(K(x,y \ u),w). K(x,L(L(y,z,K(u,x)),K(u,x) * z,w)) = K(x,(w * (K(u,x) * z)) \ (w * (z * y))). K(x,y \ (z * (x \ u))) = K(x,y \ (z * (u / x))). K(x,y \ (z * (u / x))) = K(x,y \ (z * (x \ u))). 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)) * R(K(z,y),u,w) = x. x / R(K(y,z),u,w) = x * R(K(z,y),u,w). (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(x * R(K(y,x),z,u),w,x) \ R(x,w,x) = R(K(x,y),z,u). L(L(K(x,y),z * y,u),y,w) = K(x,L(y,z,u)). L(K(x,L(y,z,u)),y,w) = K(x,L(y,z,u)). a(x,y,K(z,L(y,u,w))) = 1. K((x \ y) \ z,L(z,u,w)) = K(y \ (x * z),L(z,u,w)). x * y != (z * u) * (w * K(u,w)) | ((z * T(u,w)) * w) / y = x. ((x * T(y,z)) * z) / (T(y,z) * z) = R(x,y,z * K(y,z)). (x * (y \ z)) * (z / (z / y)) = (x * T(y \ z,y)) * y. (x * T(y \ z,y)) * y = (x * (y \ z)) * (z / (z / y)). R(x,y,z * K(y,z)) != u | R(x,T(y,z),z) = u. x != y / T(z,y) | x = T(y,z) / z. (x / y) * K(x,y) = T(x,y) / y. x * y != (z / u) * K(w,u) | x \ (z / T(u,w)) = y. x \ (y / T(y / x,z)) = K(x \ y,x) * K(z,y / x). K(x \ y,x) * K(z,y / x) = x \ (y / T(y / x,z)). (x / T(y,z)) * K(z,y) = x / T(T(y,z),z). x != K(y \ z,u) * K(w,z / y) | x = K(w,z / y) * K(y \ z,u). x \ (y / T(y / x,z)) = K(z,y / x) * K(x \ y,x). K(x,y / z) * K(z \ y,z) = z \ (y / T(y / z,x)). 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 / y) * T(y,z)) * u) \ (x * u) = K(z,((x / y) * u) \ (x * u)). ((x * K(y,z)) * u) \ (x * u) = K(z,((x / y) * u) \ (x * u)). ((x * K(y,z)) * u) * K(z,((x / y) * u) \ (x * u)) = x * u. (x * (K(y,z) * L(y,u,w))) \ (x * L(y,u,w)) = K(z,((x / y) * L(y,u,w)) \ (x * L(y,u,w))). ((x * 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). (x * K(y,z)) * K(u,y) = (x * K(u,y)) * K(y,z). ((x * K(y,z)) * K(u,y)) * y = (x * K(u,y)) * T(y,z). R(x,K(y,z),z) = x. (x * K(y,z)) \ (x * (z * K(y,z))) = z. x * y != (z * K(u,w)) * w | (z * (w * K(u,w))) / y = x. (x * (y * K(z,y))) / (y * K(u,y)) = (x * K(z,y)) * K(y,u). (x * (y * K(z,y))) * K(y,u) = (x * K(z,y)) * T(y,u). 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). 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. x != ((((y * z) * u) / (y * z)) * y) * z | x = (y * z) * R(u,y,z). ((((x * T(y,x)) * z) / (x * T(y,x))) * ((y * x) / y)) * y = (x * T(y,x)) * R(z,x,T(y,x)). x * (K(y,x) * K(y * x,y)) = T(y * x,y) / y. x * (y \ R(y,x,y)) = T(y * x,y) / y. T(x / y,z) \ x = y * K(z,y \ x). x * R(y,z,u) != R(y,z,u) * K(y,w) | x = K(y,w). K(x,y / R(x,z,u)) = K(x,R(x,z,u) \ y). x / (y * K(z,y \ x)) = T(x / y,z). T(1 / (x \ y),z) \ 1 = (x \ y) * K(z,y \ x). T(x,y) \ 1 = (x \ 1) * K(y,1 \ x). (x \ 1) * K(y,1 \ x) = T(x,y) \ 1. (x * y) / (x * K(z,y)) = T((x * y) / x,z). T(x / y,x) = L(y \ x,y,y \ x). L(x \ y,x,x \ y) = T(y / x,y). L(x \ y,x,x \ y) != z | T(y / x,y) = z. K(x,y \ ((x \ y) * z)) != u | L(K(x,x \ z),z,x \ y) = u. x * K(x,y \ z) = T(x,y \ ((x \ z) * x)). T(x,y \ ((x \ z) * x)) = x * K(x,y \ z). T(x,K(1 / x,y) * z) = T(x,z). T(x \ 1,K(x,y) * z) = T(x \ 1,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)). 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). R(K(x,y),z,R(x,u,w)) = K(x,y). (x * (K(x,y) * (z * R(x,u,w)))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). 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))). (K(x,y) / R(x,z,R(x,u,w))) \ 1 = R(x,z,R(x,u,w)) * K(y,R(x,z,R(x,u,w))). R(x,y,R(x,z,u)) * K(w,R(x,y,R(x,z,u))) = (K(x,w) / R(x,y,R(x,z,u))) \ 1. (x * K(y * K(z,y),z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). (x * K(y,z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). (x * K(y,z)) * (y \ 1) = x * (K(y,z) * (y \ 1)). (x * K(y,z)) * (y \ 1) = x * (y \ K(y,z)). L(x \ 1,K(x,y),z) = x \ 1. K(x,T(y,L(y,z,u) * (y \ w))) = L(K(x,T(y,w)),w,L(y,z,u)). L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * (y \ z))). K(x,(y \ z) \ z) != u | K(x,T(y,z)) = u. K(x,T(y,L(y,z,u) * (y \ w))) != v5 | K(x,T(y,L(y,z,u) * w)) = v5. K(x,y \ z) != u | K(x,T(z / y,z)) = u. K(x,T(y * z,y \ 1)) != u | K(x,T(y * z,z)) = u. T(K(x,y),z) != u | K(x,T(y,z)) = u. L(K(x,T(y,z)),z,L(y,u,w)) != v5 | K(x,T(y,L(y,u,w) * z)) = v5. K(x,T(y,z \ u)) = K(x,T(y,(u \ z) \ y)). K(x,T(y,(z \ u) \ y)) = K(x,T(y,u \ z)). K(x,T(y,z \ (u * y))) = K(x,T(y,z \ u)). K(x,T(y \ z,u \ z)) = K(x,T(y \ z,u \ y)). K(x,T(y,z \ u)) = K(x,T(y,z \ (y \ u))). K(x,T(y,z \ (y \ u))) = K(x,T(y,z \ u)). L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * (K(x,T(y,z)) * T(x \ 1,z)). T(x * K(y,z),y) = T(K(y,z) * x,T(y,z)). T(K(x,y) * z,T(x,y)) = T(z * K(x,y),x). K(x,T(y,z) \ 1) != u | K(x,T(y \ 1,z)) = u. K(T(x,y) \ 1,z) != u | K(x \ 1,T(z,y)) = u. K((x \ y) \ y,z) != u | K(x,T(z,y)) = u. K(((x \ 1) * y) \ y,z) != u | K(x,T(z,y)) = u. L(x,y,z) \ L(T(x,u \ (x * w)),y,z) = K(L(x,y,z),u \ (w * x)). K(L(x,y,z),u \ (w * x)) != v5 | K(L(x,y,z),u \ (x * w)) = v5. K(x,y) * (z * x) = z * T(x,T(y,z)). T(x,y) = T(x,T(y,x \ y)). T(x,T(y,x \ y)) = T(x,y). K(x,y) * (z * ((z * x) / z)) = T(z,x) * T(x,T(y,T(z,x))). T(x,y) * T(y,T(z,T(x,y))) = K(y,z) * (x * ((x * y) / x)). T(x,T(x * y,y)) = T(x,x * y). T(x,T(y,y / x)) = T(x,y). K(x,T(y * z,y)) != u | K(x,L(z \ 1,z,y) \ y) = u. K(x,y) * R(T(y,x),z,y) = R(y,z,y). x * y != K(z,u) * R(T(u,z),w,u) | x \ R(u,w,u) = y. x \ R(x,y,x) = T(x,z) \ R(T(x,z),y,x). T(x,y) \ R(T(x,y),z,x) = x \ R(x,z,x). 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 * (z * K(u * L(z,w,v5),z))) / (z * K(u,z)) | x = (y / (z * K(u,z))) * R(z * K(u,z),u,L(z,w,v5)). (x * K(y * L(z,u,w),z)) * K(z,y) = (x / (z * K(y,z))) * R(z * K(y,z),y,L(z,u,w)). (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = (x * K(z * L(y,u,w),y)) * K(y,z). K(x \ (y * z),z) * K(z,x \ y) = z \ R(z,(y \ x) \ 1,z). T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ (x * K(y,z)),z). T(T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)),u) = L(T(z,u),z \ (x * K(y,z)),z). (x / T(y / (y / z),u)) * z = (x * K(u,y / (y / z))) * K(z,z \ y). (x * K(y,z / (z / u))) * K(u,u \ z) = (x / T(z / (z / u),y)) * u. x * K(y,y \ z) = (x * (z / y)) / (y \ z). (x * (y / z)) / (z \ y) = x * K(z,z \ y). x != L(T(K(y,z),u),u,K(y,w)) | x = T(K(y,z),K(y,w) * u). T(K(x,y),z) = T(K(x,y),K(x,u) * z). T(K(x,y),K(x,z) * u) = T(K(x,y),u). T(K(x,y),z) = T(K(x,y),K(u,x) * z). T(K(x,y),K(z,x) * u) = T(K(x,y),u). K(x,T(y,K(z,x) * u)) = T(K(x,y),u). x != T(K(y,z),u) | x = K(y,T(z,u)). K(x,T(y,K(z,x) * u)) = K(x,T(y,u)). K(x,T(y,T(z,x))) = K(x,T(y,z)). x != ((y / T(z,u)) * K(z,u)) \ (y / T(z,w)) | x = K(w,z). 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)). T(x,(y * x) / z) = T(x,y / (z / x)). T(x,T((y * x) / z,u)) = T(x,T(y / (z / x),u)). x != y / T(z,u) | x = (y / z) * K(u,z). K(x,y) \ z = (z / K(x,y)) * K(z,K(x,y)). (x / K(y,z)) * K(x,K(y,z)) = K(y,z) \ x. x / K(y,T(z,x)) = K(y,z) \ x. L(K(x,T(y,z)),y,u) = K(x,T(y,z)). L(x,y,K(R(x,z,u),w)) = x. T(T(x,K(y,z)) * K(y,x),y) = T(x,K(y,z)). K(x,R(K(y,x),z,u) * w) = K(x,w). T(K(x,y) * z,T(z,K(y,x))) = T(K(x,y) * z,z). 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) * z) * K(y,u) = K(x,y) * (z * K(y,u)). T(x,L(y,z,u)) * K(y,x) != w | T(x * K(y,x),L(y,z,u)) = w. (K(x,y) * K(z,T(x,u))) * w = K(x,y) * (K(z,T(x,u)) * w). (K(x,y) / y) \ 1 = T(y,L(x,z,K(u,y))). T(x,L(y,z,K(u,x))) = (K(y,x) / x) \ 1. K(x,L(L(y,z,K(u,x)),w,v5)) = K(x,L(y,w,v5)). x != K(T(y,y \ z),u) | x = T(K(y,u),z). K(T(x,y),z) = T(K(x,z),y). T(K(x,y),z) = K(T(x,z),y). K((x \ y) \ y,z) = K(T(x,y),z). K(x,y) = K(T(z / (z / x),z),y). K(T(x / (x / y),x),z) = K(y,z). K(x \ y,z) = K(T(y / x,y),z). K(T(x / y,x),z) = K(y \ x,z). K(x,T(y,z)) = K(T(x,z),y). K(T(x,y),z) = K(x,T(z,y)). K(x,y) = K(T(x,K(y,z)),y). K(T(x,K(y,z)),y) = K(x,y). x != T(K(y,T(z,u)),w) | x = K(y,T(T(z,w),u)). K(T(x,y),T(z,u)) = K(x,T(T(z,y),u)). x * K(T(y,x),z) = K(y,z) * x. K(T(x / y,x),z) != u | K(y \ x,z) = u. K(T(x,y),z) != u | K(x,T(z,y)) = u. K(x,T(y,z)) \ 1 = K(y,T(x,z)). x != K(y,T(z \ 1,L(z,u,w))) | x = K(y,z \ 1). K(T(x,L(y,z,u)),y \ 1) = K(x,y \ 1). x * K(T(y,z),u) = x * K(y,T(u,z)). x != 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,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)). K(x,T(y,x \ z)) = T(K(x,y),z). K(L(T(x,y),z,u),w) = K(L(x,z,u),T(w,y)). K(R(T(x,y),z,u),w) = K(R(x,z,u),T(w,y)). K(x \ y,z) = K(y / x,T(z,x)). K(x / y,T(z,y)) = K(y \ x,z). K(T(x,y),z / y) = K(x,y \ z). K(x,y) = K((z * x) / z,T(y,z)). K((x * y) / x,T(z,x)) = K(y,z). K((x \ y) \ y,z) = K(x,T(z,x \ y)). K(x,y) = K(x,T(y,T(T(x,z),u))). K(x,T(y,T(T(x,z),u))) = K(x,y). K(x,y) = K(x,T(y,R(T(x,z),u,w))). K(x,T(y,R(T(x,z),u,w))) = K(x,y). K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,x \ y)). T(x,y) * K(x,T(z,y)) = T(T(x,y),z). K(x,T(y,z)) * T(x,z) = T(T(x,z),y). K(x,T(y,z)) * T(x,z) = T(T(x,y),z). T(x,y) * (z * K(x,T(z,y))) = T(T(x,y),z) * z. K(x,T(y,z)) \ u = K(y,T(x,z)) * u. K(x,T(y,z)) * (y \ u) = T(y,T(x,z)) \ u. T(x,y) * K(z,T(T(x,y),u)) = T(x * K(T(z,u),x),y). x * K(T(x,y),z) != u | T(x,T(z,y)) = u. K(x,T(y,z)) \ u != w | K(y,T(x,z)) * u = w. (x * y) / (K(z,T(x,u)) * y) = T(x,T(z,u)). x * K(y,T(z,u)) != w | w * K(z,T(y,u)) = x. x / K(y,T(z,u)) = x * K(z,T(y,u)). (x * K(y,T(z,u))) \ (x * z) = T(z,T(y,u)). (x / y) * K(z,T(y,u)) = x / T(y,T(z,u)). (x * K(y,z)) * K(u,T(y,w)) = (x * K(T(u,w),y)) * K(y,z). (x * K(T(y,z),u)) * K(u,w) = (x * K(u,w)) * K(y,T(u,z)). x / K(y,T(z,u)) != w | x * K(z,T(y,u)) = w. (K(x,y) * z) * K(y,T(x,z)) = z. x != K(T(y,z),u) | x = K(y,T(u,z)). K(T(x,y),z) = K(x,T(z,x * y)). K(x,T(y,x * z)) = K(T(x,z),y). K(x,y) * K(x * y,x) = T(x \ R(x,y,x),y). T(x,K(y,x \ z)) = T(x,K(y,z / x)). T(x,K(y,z / x)) = T(x,K(y,x \ z)). K(x,T(y,z)) * T(z,K(x,y)) = z * K(x,T(y,z)). K(x,K(x,y) * z) != u | K(x,z) = u. K(x,T(x * K(y,z),y)) = K(x,x * K(y,z)). x * K(y * x,y) = y \ T(y * x,y). x \ T(x * y,x) = y * K(x * y,x). K(x \ y,z * K(u,y \ x)) = K(x \ y,z). x != K(y,T(z,u) \ T(y,u)) | x = K(T(y,u),z \ y). K(x,T(y,z) \ x) = K(T(x,z),y \ x). K(T(x,y),z \ x) = K(x,T(z,y) \ x). K(x,y) * T(T(y,z),x) = T(y,T(z,x)). x * K(x \ y,z) = K(y / x,z) * x. K(x / y,z) * y = y * K(y \ x,z). x * K(y,z) = K((x * y) / x,z) * x. K((x * y) / x,z) * x = x * K(y,z). (K(x,y) * z) \ z = K(y,T(x,z)). (x * (K(y,z) * u)) \ (x * u) = L(K(z,T(y,u)),u,x). (K(x,y) * z) \ z != u | K(y,T(x,z)) = u. (x * (K(y,z) * u)) * L(K(z,T(y,u)),u,x) = x * u. L(x,T(T(y,z),u),K(w,y)) = x. T(T(x,y),K(z,x) * u) = T(T(x,y),u). a(x,T(y,z),K(u,y)) = 1. K(T(x,y),(z * K(u,x)) \ w) = K(T(x,y),z \ w). R(x,K(y,z),T(z,u)) = x. L(K(x,y),T(y,z),u) = K(x,y). (x * T(y,z)) * K(u,y) = x * (T(y,z) * K(u,y)). (x * T(y,z)) * L(K(u,y),w,v5) = x * (T(y,z) * L(K(u,y),w,v5)). L(K(x,y),T(y,z),u) \ (y * w) = T(y,x) * w. x != y * K(z,u) | x = (y / u) * ((z * u) / z). x * (T(y,z) * K(u,y)) = ((x * T(y,z)) / y) * ((u * y) / u). ((x * T(y,z)) / y) * ((u * y) / u) = x * (T(y,z) * K(u,y)). K(((x \ y) * (y \ z)) \ z,u) = K(T(R(x,x \ y,y \ z),z),u). K(T(R(x,x \ y,y \ z),z),u) = K(((x \ y) * (y \ z)) \ z,u). L(K(T(x,y),z),y,u) = K((u * (x \ y)) \ (u * y),z). K((x * (y \ z)) \ (x * z),u) = L(K(T(y,z),u),z,x). K(K(x,y) * z,u) = K(T(z * K(x,y),z),u). K(T(x * K(y,z),x),u) = K(K(y,z) * x,u). x != K(y,L(L(z,u,K(w,y)),K(w,y) * u,v5)) | x = K(y,(v5 * (K(w,y) * u)) \ (v5 * (u * z))). K(x,L(y,K(z,x) * u,w)) = K(x,(w * (K(z,x) * u)) \ (w * (u * y))). K(x,(y * (K(z,x) * u)) \ (y * (u * w))) = K(x,L(w,K(z,x) * u,y)). x != K(y,(z * (K(u,y) * w)) \ v5) | x = K(y,(z * w) \ v5). K(x,L(y,K(z,x) * u,w)) = K(x,(w * u) \ (w * (u * y))). K(x,L(y,K(z,x) * u,w)) = K(x,L(y,u,w)). K(x,L(y,K(x,z) \ u,w)) = K(x,L(y,u,w)). K(x,L(y,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 != (y * (K(z,u) * L(z,w,v5))) \ (y * L(z,w,v5)) | x = K(u,((y / z) * L(z,w,v5)) \ (y * L(z,w,v5))). L(K(x,T(y,L(y,z,u))),L(y,z,u),w) = K(x,((w / y) * L(y,z,u)) \ (w * L(y,z,u))). K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,T(z,L(z,u,w))),L(z,u,w),y). K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,z),L(z,u,w),y). K(x,y) = L(K(x,y),L(y,z,u),w). L(K(x,y),L(y,z,u),w) = K(x,y). K((x \ 1) * L(y,z,u),y) = K(x \ L(y,z,u),y). a(x,L(y,z,u),K(w,y)) = 1. K((x \ y) \ L(z,u,w),z) = K(y \ (x * L(z,u,w)),z). T(x,y * K(z,x)) = T(x,y). K(x,T(y,z * K(u,x))) = K(x,T(y,z)). K(x,y * K(z,x)) = K(x,y). K(x,y) = K(x,y / K(z,x)). K(x,y / K(z,x)) = K(x,y). 1 / K(x,y) = K(y * K(z,x),x). K(x * K(y,z),z) = 1 / K(z,x). K(x,y * L(K(z,x),u,w)) = K(x,y). R(K(x,y),y * K(z,x),u) = K(x,y * K(z,x)). K(x,y / z) = K(x,y / T(z,x)). K(x,y / T(z,x)) = K(x,y / z). K(x,y / (z / x)) = K(x,y / (x \ z)). K(x,y * (x \ z)) = K(x,y * (z / x)). K(x,y * (z / x)) = K(x,y * (x \ z)). K(x,y) = K(x,y * K(x,z)). K(x,y * K(x,z)) = K(x,y). K(x,y / T(x,z)) = K(x,y / x). K(x \ y,z / (x \ y)) = K(x \ y,z / (y / x)). K(x \ y,z / (y / x)) = K(x \ y,z / (x \ y)). K(x * K(y,z),z) = K(x,z). K(x * K(y,z),z) != u | K(x,z) = u. K(x \ T(y,z),z) != u | K(x \ y,z) = u. K(K(x,y) * z,y) != u | K(z,y) = u. K(x \ y,z) = K(x \ T(y,z),z). K(x \ T(y,z),z) = K(x \ y,z). K(x \ (y \ (z * y)),y) != u | K(x \ z,y) = u. K(x \ (y \ z),y) = K(x \ (z / y),y). K(x \ (y / z),z) = K(x \ (z \ y),z). K(x * T(y,z),z) = K(x * y,z). R(K(x,y),x * K(z,y),u) = K(x * K(z,y),y). K(x * L(K(y,z),u,w),z) = K(x,z). K(T(x,y) * z,y) = K(x * z,y). K(x * K(y,T(z,u)),z) = K(x,z). K(x,y) = K(x * K(y,z),y). K(x * K(y,z),y) = K(x,y). K(x * y,y) = K(x * T(y,z),y). K(x * T(y,z),y) = K(x * y,y). K(x,y) = K(K(y,z) * x,y). K(K(x,y) * z,x) = K(z,x). K(K(x,y) * z,y) = K(z,y). K(x * K(y,z),T(z,u)) = K(x,T(z,u)). K(K(x,y) \ z,x) = K(z,x). K(T(x,y) \ z,x) = K(x \ z,x). K(x * y,x) = K(T(x,z) * y,x). K(T(x,y) * z,x) = K(x * z,x). K(K(x,y) * z,T(y,u)) = K(z,T(y,u)). K(R(K(x,y),z,u) * w,x) = K(w,x). K(x * y,z) = K(x * (K(u,z) * y),z). K(x * (K(y,z) * u),z) = K(x * u,z). L(K(x,y),K(y,z) * x,u) = K(K(y,z) * x,y). K(K(x,y) * z,x) = K(L(z,K(x,y),u),x). K(L(x,K(y,z),u),y) = K(K(y,z) * x,y). K(K(x,y) * z,x) != u | u = K(z,x). K(K(x,y) * z,x) != u | K(z,x) = u. 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). x != K(K(y,z) \ u,y) | x = K(u,y). K((x * K(y,z)) \ u,y) = K(x \ u,y). K((K(x,y) * z) \ u,x) = K(z \ u,x). K((x * (y * z)) \ u,y) = K((x * (z * y)) \ u,y). K((x * (y * z)) \ u,z) = K((x * (z * y)) \ u,z). 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 \ 1,y) = K(x \ K(y,z),y). K(x \ K(y,z),y) = K(x \ 1,y). K(x \ K(y,z),z) = K(x \ 1,z). x != K((K(y,z) * u) \ (K(y,z) * w),y) | x = K(u \ w,y). K(x \ (K(y,z) * u),y) = K(x \ u,y). K(x \ T(y,z),y) = K(x \ y,y). K(x \ y,z) = K(x \ (K(u,z) * y),z). K(x \ (K(y,z) * u),z) = K(x \ u,z). K(x \ (y * z),y) = K(x \ (z * y),y). K(x \ (y * z),z) = K(x \ (z * y),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) = K(x \ ((z \ y) * z),z). K(x \ ((y \ z) * y),y) = K(x \ z,y). K(x * T(y,z),T(z,u)) = K(x * y,T(z,u)). K(x * ((y \ z) \ 1),T(z \ y,u)) = K(((y \ z) \ 1) * x,T(z \ y,u)). K(((x \ y) \ 1) * z,T(y \ x,u)) = K(z * ((x \ y) \ 1),T(y \ x,u)). ((x * y) * z) / (x * T(y,z)) = T(z,y) * K(x * y,T(z,y)). x != T(y,z) * K(u,T(y,z)) | x = T(y * K(u,y),z). ((x * y) * z) / (x * T(y,z)) = T(z * K(x * y,z),y). K(x / y,z \ y) = K(y \ x,y / z). x != K((y \ z) / z,u) | x = K(y \ 1,u). K(x \ (y \ x),z) = K(y \ 1,T(z,x)). K(x / y,L(y,z,u)) = K(y \ x,L(y,z,u)). K(x \ y,z) * (y / x) = T(y / x,T(z,x)). K(x \ y,z) * (y / x) != u | T(y / x,T(z,x)) = u. K((x \ y) \ z,y \ x) != u | K(z / (x \ y),y \ x) = u. (x * (y / z)) * K(z \ y,u) = x * T(y / z,T(u,z)). K(x,y) * T(x,T(z,y)) = T(T(x,y),z). x * y != K(z,T(u,w)) * T(z,w) | x \ T(T(z,w),u) = y. T(x,T(y,z)) \ T(T(x,z),y) = K(x,z). K(x,K(y,z)) * T(x,y) = T(T(x,y),K(y,z)). K(x,y \ z) * T(x,z) = T(T(x,z),z / y). T(x,y) * K(x,K(y,z)) = T(T(x,y),K(y,z)). x != T(T(y,z),K(z,u)) | x = T(y,T(z,u)). K(x,K(y,z)) * T(x,y) = T(x,T(y,z)). 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) * 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)). 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)) != u | K(x,T(y,z)) = u. K(x,y) * K(x,K(y,z)) = T(K(x,y),K(u,y) \ z). T(K(x,y),K(z,y) \ u) = K(x,y) * K(x,K(y,u)). (K(x,y) * z) * K(y,K(x,z)) = z * K(x,y). L(x,K(y,K(z,u)),u) = L(x,w / v5,(v5 * (w / v5)) \ w). x * K(y,K(z,x)) = T(x,K(z,y)). K(x,K(y,z)) * z = T(z,K(y,x)). x * K(y,K(z,x)) != u | T(x,K(z,y)) = u. K(x,K(y,z)) \ K(y,x) = T(K(y,x),z). K(x,K(y,z)) * z != u | T(z,K(y,x)) = u. K(x,K(y,z)) \ 1 = K(z,K(x,y)). 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(x,y) * u) = K(x,T(y,z)) * u. T(x,T(y,K(z,x))) = T(x,y). K(x,K(y,z)) = K(y,K(x,z)). K(K(x,y),z) = K(y,K(z,x)). K(x,K(y,z)) != u | K(y,K(x,z)) = u. x != K(y,K(z,u)) | x = K(u,K(z,y)). K(x,K(y,z)) = K(z,K(x,y)). x * K(y,K(x,z)) = T(x,K(y,z)). K(x,K(y,z)) * y = T(y,K(x,z)). x * K(y,K(x,z)) != u | T(x,K(y,z)) = u. (x * K(y,z)) \ K(y,K(x * K(y,z),z)) = (L(K(y,z),x,K(y,z)) * x) \ 1. K(x,y) * K(y,K(z,x)) = T(K(x,y),z). K(x,K(y,z * y)) = K(y,K(x,y * z)). x * (K(y,K(x,z)) * u) != w | T(x,K(y,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)) * z = T(z,K(x,y)). K(K(x,y),z) = K(x,K(z,y)). x != K(y,K(z,u)) | x = K(z,K(y,u)). K(x,K(y,z)) = K(x,K(z,y)). x != K(y,K(z,u)) | x = K(K(u,z),y). K(x,K(y,z)) = K(K(y,x),z). K(K(x,y),z) = K(y,K(x,z)). x * K(y,K(z,x)) = T(x,K(y,z)). K(x,K(y,z)) * y = T(y,K(z,x)). K(x,K(y,z)) * (z * u) = T(z,K(x,y)) * u. K(x,K(y,z)) * z != u | T(z,K(x,y)) = u. K(x,K(y,z)) * (z * u) != w | T(z,K(x,y)) * u = w. K(x,K(y,((1 / z) / (u / z)) \ 1)) * (u / z) = T(u,K(x,y)) / z. K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(z,K(x,y)) * w). K(x,y) * K(x,K(z,y)) = T(K(x,y),z). x \ T(x * y,K(z,u)) = y * K(z,K(u,(x \ 1) \ y)). (x * K(y,K(z,u \ x))) / u = T(x / u,K(y,z)). x * (y * K(z,K(u,(x \ 1) \ y))) = T(x * y,K(z,u)). K(x,y) * K(x,K(z,y)) = K(x,T(y,z)). K(x,y) * K(y,K(x,z)) = K(x,T(y,z)). K(x,K(y,z)) * K(y,x) = K(y,T(x,z)). (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,K(y,z)) * x = T(x,K(z,y)). K(K(x,y),z) = K(z,K(x,y)). x != K(y \ L(y,z,u),w) | x = (L(y,z,u) \ y) * T(y \ L(y,z,u),w). K(x \ L(x,y,z),K(u,w)) = (L(x,y,z) \ x) * T(x \ L(x,y,z),K(w,u)). (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w,u)). x * K(x,K(y,z)) != u | T(x,K(z,y)) = u. K(x,(T(y,z) / u) / (y / u)) = K(x,K(z,((1 / u) / (y / u)) \ 1)). K(x,K(y,((1 / z) / (u / z)) \ 1)) = K(x,(T(u,y) / z) / (u / z)). K(x,K(y,z)) * K(x,K(y,z)) = 1. K(x,y) * K(z,K(x,y)) = K(x,T(y,z)). K(x,K(y / z,T(u,z))) = K(x,K(u,z \ y)). (x * K(y,z)) / x = K(y,T(z,x)). K(x,y) * K(y,T(x,z)) = K(z,K(y,x)). T(K(x,T(y,z)),z) = K(x,y). K(x,T(y,z)) * z = z * K(x,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. L(K(x,T(y,z * u)),u,z) = (z * (u * K(x,y))) / (z * u). (x * (y * K(z,u))) / (x * y) = L(K(z,T(u,x * y)),y,x). R(K(x,T(y,z)),u,w) * z = z * R(K(x,y),u,w). K(x,T(T(y,z),z)) = K(x,y). T(x,T(y,z)) * (x \ z) = z * K(x,y). (K(x,T(y,z)) * z) * u = (z * K(x,y)) * u. x * y != y * K(z,u) | x = K((y * z) / y,u). K(x,T(y,z)) = K((z * x) / z,y). K((x * y) / x,z) = K(y,T(z,x)). x * y != y * K(z,y \ u) | x = K(z,u / y). K(x,T(y \ z,y)) = K(x,z / y). x * y != y * K(z,u \ y) | x = K(z,y / u). K(x,T(y \ z,z)) = K(x,z / y). x * y != y * K(z \ y,u) | x = K(y / z,u). K(x \ y,T(z,y)) = K(y / x,z). 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(T(z,y),u) | x = K(z,u). K(T(x,y),T(z,y)) = K(x,z). 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)). K(x,T(T(y,z),u)) * z = z * K(x,T(y,u)). K(x,y \ z) * y = y * K(x,z / y). (x * y) \ ((x * K(z,u)) * y) = R(T(K(z,T(u,x)),x * y),x,y). R(T(K(x,T(y,z)),z * u),z,u) = (z * u) \ ((z * K(x,y)) * u). x * (y * K(x,z)) = T(x,T(z,y)) * y. T(x,T(y,z)) * z = x * (z * K(x,y)). R(x,K(T(y,z),u),z * K(u,y)) * z = (x * K(T(y,z),u)) * (K(u,T(y,z)) * z). (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(T(y,z),u),z * K(u,y)) * z. T(K(x,y),z) * (z / y) = (z / y) * K(x,y). T(K(x,y),z) * z = z * K(x,y). L(x \ 1,x,y * K(x,z)) = L(x \ 1,x,y). K(x \ y,z) * y = y * K(y / x,z). T(x,y * K(x,z)) = T(x,y). K(T(x,y),z) * y = y * K(x,z). K(x,y \ z) * z = z * K(x,z / y). K(x \ (y * K(z,u)),z) = K(x \ y,z). K(x \ y,z) * x = x * K(y / x,z). x != K(T(y / (y / z),y),u) | x = K(z,u). K(x / (x / y),z) = K(y,T(z,x)). K(T(x,y),T(T(z,y),u)) = K(x,T(z,u)). 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(x \ y,T(z,x)) = K(y / x,z). K(T(x,y),y \ z) = K(x,z / y). K(T(x,y),z) = K(x,(y * z) / y). K(x,(y * z) / y) = K(T(x,y),z). K(T(x,y),R(T(z,y * u),y,u)) = K(x,(y * u) \ ((y * z) * u)). K(T(x,y \ z),y) = K(x,z / (z / y)). K(x,T(y,z * x)) = K(z \ T(z * x,x),y). K(x \ T(x * y,y),z) = K(y,T(z,x * y)). K(x \ T(y,x),T(z,x)) = K(y / T(x,y),z). K(x \ y,T(z,(y * x) / y)) = K(y / x,z). K(x,T(y,z)) = K(x * K(z,x),y). K(x * K(y,x),z) = K(x,T(z,y)). K(T(x,y),z) = K(x,z * K(y,z)). K(x,y * K(z,y)) = K(T(x,z),y). x * K(T(x,y),T(z,y)) = T(x,z). K(x,y) * T(x,z) = T(T(x,z),T(y,z)). T(T(x,y),T(z,y)) = K(x,z) * T(x,y). R(K(x,y),T(y,z) * u,w) = K(T(x,z),R(T(y,z),u,w)). K(x,y) * K(z,y) = T(T(y,z),T(x,z)) \ y. T(T(x,y),T(z,y)) \ x = K(z,x) * K(y,x). L(K(x,y),z * T(x,u),w) = K(L(T(x,u),z,w),T(y,u)). (x * y) * K(x,z) = T(x,T(z,y)) * y. T(x,T(y,z)) * z = (x * z) * K(x,y). K(x,T(y,z)) * (z * K(y,x)) = z. K((x * K(y,z)) \ u,T(y,w)) = K(x \ u,T(y,w)). K(x \ (K(y,z) * u),T(y,w)) = K(x \ u,T(y,w)). x != K(y,z) * T(y,u) | x = K(y,u) * T(y,z). T(T(x,y),T(z,y)) = K(x,y) * T(x,z). T(T(x,y),T(z,y)) != u | K(x,y) * T(x,z) = u. K(x \ (y * z),u) = K(x \ (y * T(z,u)),u). K(x \ (y * T(z,u)),u) = K(x \ (y * z),u). K(x \ (y * (z * u)),z) = K(x \ (y * (u * z)),z). K(x \ (y * (z * u)),u) = K(x \ (y * (u * z)),u). K(x \ (y * K(z,u)),T(z,w)) = K(x \ y,T(z,w)). K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(L(u,z,y),y * z,x),y). T(x,K(y,z)) = T(x,K(z,y)). T(x,K(y,z)) = T(y,K(z,x)) * (y \ x). T(x,K(y,z)) * (x \ z) = T(z,K(x,y)). T(x,K(y,z)) != u | T(x,K(z,y)) = u. x * K(y,z) = T(K(y,z) * x,K(z,y)). T(K(x,y) * z,K(y,x)) = z * K(x,y). T(x,T(y,z)) = T(T(x,y),K(z,y)). T(T(x,y),K(z,y)) = T(x,T(y,z)). x * K(K(y,z),x) = T(x,K(y,z)). T(T(x,K(y,z)),K(y,z)) = x. K(x,y) * (z * K(y,x)) = T(z,K(x,y)). T(T(x,K(y,z)),u) = T(T(x,u),K(z,y)). x != T(y,K(z,u)) | x = (K(u,z) * y) * K(z,u). T(x,K(y,z)) = (K(y,z) * x) * K(z,y). (K(x,y) * z) * K(y,x) = T(z,K(x,y)). x != T(y * z,K(z,u)) | x = z * T(y,T(z,u)). T(x * y,K(z,y)) = y * T(x,T(y,z)). x * T(y,T(x,z)) = T(y * x,K(z,x)). x != T(y * K(z,u),K(u,z)) | x = K(z,u) * y. T(x * K(y,z),K(y,z)) = K(y,z) * x. K(x,y) * T(z,K(y,x)) = z * K(x,y). T(T(x,K(y,z)),u) != w | T(T(x,u),K(z,y)) = w. T(x,K(y,z)) * K(y,z) = K(y,z) * x. T(T(x,K(y,z)),K(y,z)) != u | u = x. T(T(x,K(y,z)),z) = T(x,T(z,y)). T(T(x,y),K(z,y)) != u | T(x,T(y,z)) = u. T(x,K(y,z)) * z = z * T(x,T(z,y)). T(x,L(K(y,z),T(z,u),w)) = T(x,K(z,y)). (K(x,y) * z) / K(x,y) = T(z,K(x,y)). T(x,K(y,z)) \ u = K(x,K(y,z)) * (x \ u). K(x,K(y,z)) * (x \ u) = T(x,K(y,z)) \ u. x / T(y,K(z,u)) = (x / y) * K(y,K(z,u)). (x / y) * K(y,K(z,u)) = x / T(y,K(z,u)). K(x,K(y,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). K(x,K(y,z)) != u | K(z,K(x,y)) = u. K(x,K(y,z)) * (z / K(x,y)) = K(y,x) * z. L(x \ 1,T(x,y),z) = L(x \ 1,x,z). L(x \ 1,x,y) * L(L(x \ 1,T(x,z),y) \ 1,u,w) = L((x \ 1) * L((x \ 1) \ 1,u,w),T(x,z),y). T(x * L(x \ 1,x,y),z) = T(x,z) * ((y * T(x,z)) \ y). L(x \ 1,x,y) * L(L(x \ 1,x,y) \ 1,z,u) = L((x \ 1) * L((x \ 1) \ 1,z,u),T(x,w),y). L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ 1,x,w) * L(L(x \ 1,x,w) \ 1,y,z). L((x \ 1) * L((x \ 1) \ 1,y,z),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). x * y != K(z,K(u,w)) | x \ K(K(u,w),z) = y. K(x,y) \ K(K(x,y),z) = T(K(x,y),z) \ 1. x * (T(x,K(y,z)) \ u) = K(x,K(y,z)) * u. K(x,K(y,z)) \ u = K(x,K(y,z)) * u. K(x,K(y,z)) * u != w | K(x,K(y,z)) * w = u. K(x,K(y,z)) * (K(x,K(y,z)) * u) != w | w = u. K(x,K(y,z)) \ u != w | K(x,K(y,z)) * u = w. K(x,K(y,z)) * (x \ u) != w | 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 | K(x,K(z,y)) = u. (x * K(y,K(z,u))) * K(y,K(z,u)) != w | w = x. x / K(y,K(z,u)) != w | x * K(y,K(z,u)) = w. K(K(x,y),z) != u | K(z,K(x,y)) = u. (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) != v5 | K(x \ L(x,y,z),K(w,u)) = v5. K(x,K(y,T(z,u))) != w | K(x,K(z,T(y,u))) = w. K(x,K(y / z,T(u,z))) != w | K(x,K(u,z \ y)) = w. K(x,K(y,z)) != u | K(y,K(z,x)) = u. K(x,K(y,z)) != u | K(z,K(y,x)) = u. T(x,K(y,z)) * K(y,z) != u | u = K(y,z) * x. T(x,K(y,z)) * K(y,z) != u | K(y,z) * x = u. x / (x * K(y,z)) = K(z,T(y,x)). x / (x * K(y,z)) != u | u = K(z,T(y,x)). x / (x * K(y,z)) != u | K(z,T(y,x)) = u. T(x \ y,K(x,y)) != z | z = x \ y. T(x \ y,K(x,y)) != z | x \ y = 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),R(z,u,w)) = K(x,R((y * z) / y,u,w)). K(x,R((y * z) / y,u,w)) = K(T(x,y),R(z,u,w)). x != K(T(y,z),u) | x = T(K(y,u),z). K(x,y / z) = T(K(x,z \ y),z). T(K(x,y \ z),y) = K(x,z / y). x != K(L(T(y,z),u,w),T(v5,z)) | x = K(L(y,u,w),v5). L(K(x,y),z * T(x,u),w) = K(L(x,z,w),y). L(K(x,y),x * z,u) = K(L(x,z,u),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). K(x,x * y) = K(L(x,y,z),x * y). K(L(x,y,z),x * y) = K(x,x * y). x != L(K(y,(z \ u) \ w),w,z) | x = K(y,u \ (z * w)). K(L(x,y,z),(z \ u) \ (x * y)) = K(x,u \ (z * (x * y))). K(L(x,y,z),y) = K(x,L(y,x,z)). L(K(x,y),T(x,z) * u,w) = K(L(T(x,z),u,w),T(y,z)). K(L(x,y * z,u),(u \ (u * (x * y))) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). K(L(x,y * z,u),(x * y) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). K(L(x,y * z,u),L(z,y,x)) = K(x,L(L(z,y,x),x * y,u)). L(K(x,y),T(x,z) * u,w) = K(L(x,u,w),y). L(K(x,y),z,u) = K(L(x,T(x,w) \ z,u),y). K(L(x,T(x,y) \ z,u),w) = L(K(x,w),z,u). x != L(y,1,z) | x = y. K(L(x,T(x,y) \ 1,z),u) = K(x,u). x != K(L(y,T(y,z) \ 1,u),w) | x = L(K(y,w),K(z,y),u). 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)). L(K(x,y),L(K(z,x),u,w),v5) = K(x,y). (x * L(K(y,z),u,w)) * K(z,v5) = x * (L(K(y,z),u,w) * K(z,v5)). R(x,L(K(y,z),u,w),K(z,v5)) = x. (x * L(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * L(K(y,z),u,w)). (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = L(K(z,u),y,x) * K(u,w). R(x,K(y,z),K(z,u)) = x. a(x,y * K(z,u),K(u,z)) = L(K(z,u),y,x) * K(u,z). L(K(x,y),z,u) * K(y,x) = a(u,z * K(x,y),K(y,x)). x != L(K(y,z),u,w) * K(v5,y) | x = K(v5,y) * L(K(y,z),u,w). a(x,y * K(z,u),K(u,z)) = K(u,z) * L(K(z,u),y,x). K(x,y) * L(K(y,x),z,u) = a(u,z * K(y,x),K(x,y)). K(x,y) * L(K(y,x),z * K(x,y),u) = a(u,z,K(x,y)). K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)). a(x,y,K(z,u)) * L(K(z,u),y,x) = K(z,u). K(x,y) * a(z,u,K(y,x)) = L(K(x,y),u,z). L(K(x,y),z,u) * K(y,x) = a(u,z,K(y,x)). K(x \ 1,y) * K(y,L(x,z,u) \ 1) = a(u,z,K(x \ 1,y)). x * a(y,z,K(x,u)) = T(x,u) * L(K(u,x),z,y). T(x,y) * L(K(y,x),z,u) = x * a(u,z,K(x,y)). K(x,y) * (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) * 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. K(x,y) != a(z,u,K(x,y)) * w | L(K(x,y),u,z) = w. a(x,y,K(z,u)) * w != K(z,u) | L(K(z,u),y,x) = w. K(x,y \ 1) * z != L(K(x,y \ 1),y,u) | 1 = z. 1 = a(x,y,K(y \ 1,z)). a(x,y,K(y \ 1,z)) = 1. K(x,y) * z != L(K(x,y),y \ 1,u) | 1 = z. 1 = a(x,y \ 1,K(y,z)). a(x,y \ 1,K(y,z)) = 1. 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)). (x * (K(y,z) * L(K(u,y),w,v5))) * K(z,y) = x * L(K(u,y),w,v5). (x * a(y,z,K(u,w))) * K(w,u) = x * L(K(w,u),z,y). x * y != (z * y) * L(y,u,w) | x = z * L(y,u,w). (x * K(y,z)) * a(u,w,K(z,y)) = x * L(K(y,z),w,u). (x * y) * a(z,u,K(y,w)) = (x * T(y,w)) * L(K(w,y),u,z). (x * T(y,z)) * L(K(z,y),u,w) = (x * y) * a(w,u,K(y,z)). x != (y * T(z,u)) * L(K(w,z),v5,v6) | x = y * (T(z,u) * L(K(w,z),v5,v6)). (x * y) * a(z,u,K(y,w)) = x * (T(y,w) * L(K(w,y),u,z)). x * (T(y,z) * L(K(z,y),u,w)) = (x * y) * a(w,u,K(y,z)). x * (y * a(z,u,K(y,w))) = (x * y) * a(z,u,K(y,w)). (x * y) * a(z,u,K(y,w)) = x * (y * a(z,u,K(y,w))). (x * (y * a(z,u,K(y,w)))) * v5 != (x * y) * a(z,u,K(y,w)) | 1 = v5. 1 = a(x,y,a(z,u,K(y,w))). a(x,y,a(z,u,K(y,w))) = 1. a(x,T(y,z),a(u,w,K(y,v5))) = 1. L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(y,x)) * w. K(x,y) * z = a(u,w,K(x,y)) * (L(K(x,y),w,u) * z). a(x,y,K(z,u)) * (L(K(z,u),y,x) * w) = K(z,u) * w. x * y != K(z,u) * (K(u,z) * w) | x \ w = y. a(x,y,K(z,u)) \ w = L(K(z,u),y,x) * (K(u,z) * w). L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(x,y)) \ w. x != L(K(y,z),u,w) * (K(z,y) * v5) | x = a(w,u,K(z,y)) * v5. a(x,y,K(z,u)) \ w = a(x,y,K(u,z)) * w. x = a(y,z,K(u,w)) * (a(y,z,K(w,u)) * x). a(x,y,K(z,u)) * (a(x,y,K(u,z)) * w) = 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) != v5 | v5 = w. x != a(y,z,K(u,w)) * v5 | a(y,z,K(w,u)) * x = v5. a(x,y,K(z,u)) * w != v5 | a(x,y,K(u,z)) * v5 = 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). 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 != 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),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),T(y,T(z,u)) * u,w) = K(x,R(y,u * K(y,z),w)). x != R(K(y,z),T(z,u) * w,v5) | x = K(y,R(z,w,v5)). K(x,R(y,z * K(y,u),w)) = K(x,R(y,z,w)). K(x,R(y,z,u)) = K(x,R(y,T(z,y),u)). K(x,R(y,T(z,y),u)) = K(x,R(y,z,u)). K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)). x != K(y,R(z,T(u,z),w)) | x = R(K(y,z),u * z,w). K(x,R(y,z,u)) = R(K(x,y),z * y,u). R(K(x,y),z * y,u) = K(x,R(y,z,u)). R(K(x,y \ z),z,u) = K(x,R(y \ z,y,u)). R(K(x,y),z * (y * K(u,x)),w) = K(x,R(y * K(u,x),z,w)). R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,((y * z) * u) / (y * (z * u))). R(x,K(y,z),R(K(z,u),w,v5)) = x. (x * K(y,z)) * R(K(z,u),w,v5) = x * (R(K(z,u),w,v5) * K(y,z)). x * R(K(y,z),u,w) = (x * K(y,v5)) * (K(v5,y) * R(K(y,z),u,w)). (x * K(y,z)) * (K(z,y) * R(K(y,u),w,v5)) = x * R(K(y,u),w,v5). x * y != (z * R(K(u,w),v5,v6)) * R(K(w,u),v5,v6) | z / y = x. x / (K(y,z) * R(K(z,u),w,v5)) = (x * R(K(u,z),w,v5)) * K(z,y). K(((x * y) * z) / (x * (y * z)),u) = K(a(x,y,z),T(u,x * (y * z))). K(L((x \ y) / z,z,x),u) = K((x * z) \ y,T(u,z)). L(K(x,y),z,u) * K(y,L(L(x \ 1,z,u),w,v5) \ 1) = a(v5,w,K(L(x \ 1,z,u) \ 1,y)). L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = a(v5,w,K(L(x \ 1,z,u) \ 1,y)). L(K(x,y),z,u) * L(L(K(y,x),z,u),w,v5) = a(v5,w,L(K(x,y),z,u)). x != L(K(y,z),u,w) * L(L(K(z,y),u,w),v5,v6) | x = L(a(v6,v5,K(y,z)),u,w). a(x,y,L(K(z,u),w,v5)) = L(a(x,y,K(z,u)),w,v5). L(a(x,y,K(z,u)),w,v5) = a(x,y,L(K(z,u),w,v5)). x != K(y,T(z,u)) | x = T(K(y,z),u). K(x / y,z) = T(K(y \ x,z),y). T(K(x \ y,z),x) = K(y / x,z). K(x \ y,T(T(z,x),u)) = K(y / x,T(z,u)). K(L(x \ y,x,z),T(u,z * x)) = K((z * y) / (z * x),u). K(L(T(x,y),y,z),T(u,z * y)) = K((z * (x * y)) / (z * y),u). K(L(x \ y,x,z / x),T(u,z)) = K(((z / x) * y) / z,u). (x \ y) * K(y / x,z) = T(x \ y,T(z,x)). (1 / (x \ y)) * K(y / x,z) = K(x \ y,T(z,x)) / (x \ y). K(x \ y,T(z,x)) / (x \ y) = (1 / (x \ y)) * K(y / x,z). K(x,y) * K(y,T(x,z)) = K(y,K(x,z)). K(x,T(y,z)) != K(x,y) * u | K(x,K(y,z)) = u. (x * R(R(x,K(y,z),K(z,u)) \ (x * K(y,z)),w,v5)) * K(z,u) = R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)). R(x,T(K(y,z),u),K(z,w)) = x. (x * y) \ (y * T(x,z)) = K(y,x) * K(x,z). x != K(y,z) * K(z,u) | x = K(z,u) * K(y,z). (x * y) \ (y * T(x,z)) = K(x,z) * K(y,x). x != (y * z) \ (z * T(y,y \ z)) | x = a(y,z / y,y). K(x,y) * K(y,y \ x) = a(y,x / y,y). (x * y) \ (y * T(x,z)) != u | K(x,z) * K(y,x) = u. 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,x) * K(x,y) = a(x,y,x). K(x,y) * K(x * y,x) = a(x,y,x). R(x,y,x) / x = a(x,y,x). x != y \ R(y,(z \ u) \ 1,y) | x = K(u \ (z * y),y) * K(y,u \ z). a(x,(y \ z) \ 1,x) = K(z \ (y * x),x) * K(x,z \ y). K(x \ (y * z),z) * K(z,x \ y) = a(z,(y \ x) \ 1,z). 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,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). a(x,y,x) * K(x,x * y) = K(x,y). K(x,y) * a(y,x,y) = K(y * x,y). K(x,y \ 1) * K(y \ x,x) = a(x,y \ 1,x). K(x,x * y) * a(x,y,x) = K(x,y). a(x,y,x) * (y * x) = T(x * y,x). K(x,y \ 1) * K(x * ((z * y) \ z),x) = a(x,(z * y) \ z,x). a(x,y,x) \ z = K(y,x) * (K(x,x * y) * z). K(x,y) * (K(y,y * x) * z) = a(y,x,y) \ z. a(x,y,x) \ K(x,y) = K(x,x * y). a(x,y,x) \ K(x,y) != z | K(x,x * y) = z. x * a(y,x,y) = T(y * x,y) / y. T(x * y,x) / x = y * a(x,y,x). a(x,x \ y,x) * K(x,y) = K(x,x \ y). a(x,y,x) \ R(x,y,x) = x. K(x,y) * a(x,x \ y,x) = K(x,x \ y). (x * K(y,y * z)) \ (x * K(y,z)) != u | L(a(y,z,y),K(y,y * z),x) = u. K(x * y,x) * K(x,y) != z | z = a(x,y,x). K(x * y,x) * K(x,y) != z | a(x,y,x) = z. K(x,y) * (a(x,y,x) \ z) = K(x,x * y) * z. K(x,y) * (a(x,y,x) \ z) != K(x,x * y) * u | u = z. K(x,x * y) * z != K(x,y) * (a(x,y,x) \ u) | z = u. K(x,y) * (K(y,x * y) * z) = a(y,x,y) \ z. K(x,x * y) * z != K(x,y) * u | z = a(x,y,x) * u. K(x,x * y) * z != K(x,y) * u | a(x,y,x) * u = z. x != K(y * z,y) | x = K(z * y,y). K(x,y) * a(y,x,y) = K(x * y,y). a(x,y,x) * K(y,x) = K(x * y,x). a(x,y,x) * z = K(x * y,x) * (K(x,y) * z). K(x * y,x) * (K(x,y) * z) = a(x,y,x) * z. K(x,y) * z = a(x,y,x) * (K(x,x * y) * z). a(x,y,x) * (K(x,x * y) * z) = K(x,y) * z. K(x * y,x) * z = a(x,y,x) * (K(y,x) * z). a(x,y,x) * (K(y,x) * z) = K(x * y,x) * z. T(K(x,L(T(y,z),u,w)),z) = K(x,L(y,u,w)). T(T(K(x,y),z),z) = K(x,y). T(K(x \ y,z),y) = K(y / x,z). T(K(x,y \ z),z) = K(x,z / y). T(R(x,K(y,z),u),K(y,z)) = ((K(y,z) * x) * u) / (K(y,z) * u). ((K(x,y) * z) * u) / (K(x,y) * u) = T(R(z,K(x,y),u),K(x,y)). K(x,y) * z != u * K(x,y) | T(z,K(x,y)) = u. x * y != K(z * u,z) | x \ K(u * z,z) = y. a(x,y,x) \ K(y * x,x) = K(y,x). x * y != K(z * (u \ 1),z) | x \ K(u \ z,z) = y. a(x,y \ 1,x) \ K(y \ x,x) = K(y \ 1,x). (R(a(x,y,x),K(y,x),z * u) * (K(y,x) * z)) \ (K(x * y,x) * (z * u)) = L(L(u,z,K(y,x)),K(y,x) * z,R(a(x,y,x),K(y,x),z * u)). a(1 / ((x * y) \ x),T(z,y),1 / ((x * y) \ x)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). (x * (K(y,z) * K(z,u))) * K(u,z) = x * K(y,z). (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). (x * (K(y,z) * K(u,y))) * K(z,y) = x * K(u,y). K(x,y) * z != u * (K(x,y) * K(w,x)) | T(u * K(w,x),K(x,y)) = z. T(L(x,K(y,z),K(z,u)) * K(y,z),K(z,u)) = K(y,z) * T(x,K(z,u) * K(y,z)). x != (y * K(z * L(u,w,v5),u)) * K(u,z) | x = (y / (u * K(z,u))) * R(u * K(z,u),z,L(u,w,v5)). x * (K(y,z) * K(z * L(y,u,w),y)) = (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)). (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = x * (K(y,z) * K(z * L(y,u,w),y)). x != (y * K(z,u)) * K(u,w) | x = (y * K(u,w)) * K(z,u). x * (K(y,z) * K(u,y)) = (x * K(y,z)) * K(u,y). (x * K(y,z)) * K(u,y) = x * (K(y,z) * K(u,y)). (x / 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). L(K(x,y),K(y,z),u) = K(x,y). x * y != ((z * K(u,w)) * K(u,v5)) * K(w,u) | x \ (z * K(u,v5)) = y. (x * K(y,z)) \ (x * K(y,u)) = K(y,u) * K(z,y). ((K(x,y) \ z) * ((K(x,y) \ 1) \ 1)) * K(u,x) = ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)). L(K(x,y),z,u) = L(L(K(x,y),z,u),K(y,w),v5). L(L(K(x,y),z,u),K(y,w),v5) = L(K(x,y),z,u). L(K(x,T(y,z)),K(y,u),w) = K(x,T(y,z)). x / L(L(K(y,z),u,w),K(z,v5),v6) = x * L(K(z,y),u,w). (x / (K(y,z) * L(K(u,y),w,v5))) * K(y,z) = x * L(K(y,u),w,v5). (x / a(y,z,K(u,w))) * K(u,w) = x * L(K(u,w),z,y). x * K(y,z) != u * L(K(y,z),w,v5) | x = u * a(v5,w,K(z,y)). x / a(y,z,K(u,w)) = x * a(y,z,K(w,u)). (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(z,u,K(v5,w)). K(x,T(y,z)) * K(y,x) = K(y,K(x,z)). x * K(y,z) != K(y,u) | x = K(z,y) * K(y,u). 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)). 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)). T(x,K(y,z)) * K(y,x) = x * T(K(y,x),z). K(x,T(y,z)) = K(x,(z * y) / z). K(x,(y * z) / y) = K(x,T(z,y)). K(x,T(a(y,z,u),y * (z * u))) = K(x,((y * z) * u) / (y * (z * u))). K(x,((y * z) * u) / (y * (z * u))) = K(x,T(a(y,z,u),y * (z * u))). K(x,T(L(y,z,u),u * z)) = K(x,(u * (z * y)) / (u * z)). K(x,(y * (z * u)) / (y * z)) = K(x,T(L(u,z,y),y * z)). K(x,T(L(y \ z,y,u),u * y)) = K(x,(u * z) / (u * y)). K(x,L(T(y \ z,u * y),y,u)) = K(x,(u * z) / (u * y)). x != K(y,T(z,u)) | x = K(y,z) * K(y,K(z,u)). K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)) * K(x,K(a(y,z,u),y * (z * u))). K(x,a(y,z,u)) * K(x,K(a(y,z,u),y * (z * u))) = K(x,((y * z) * u) / (y * (z * u))). (x / (x / y)) * K(L(y,z,u),y \ x) = y * a(u,z * y,K(y \ x,y)). x != R((y / z) * K(u,w),K(w,u),z) | x = y / (K(w,u) * z). (x / T(y,z)) * K(y,u) = x / (K(u,y) * T(y,z)). x / (K(y,z) * T(z,u)) = (x / T(z,u)) * K(z,y). 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 / R(y,z,y) = (x / T(y,z)) * K(y,y * z). (x / T(y,z)) * K(y,y * z) = x / R(y,z,y). x / L(y,z,y) = (x / T(y,y * z)) * K(y,z). (x / T(y,y * z)) * K(y,z) = x / L(y,z,y). (x / R(y,z,y)) * y = (x / T(y,z)) * T(y,y * z). (x / T(y,z)) * T(y,y * z) = (x / R(y,z,y)) * y. 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 != (y * K(z,u)) * K(u,w) | x = y * (K(z,u) * K(u,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 != (y / T(z,u)) * K(z,w) | x = (y / z) * (K(z,w) * K(u,z)). x / L(y,z,y) = (x / y) * (K(y,z) * K(y * z,y)). (x / y) * (K(y,z) * K(y * z,y)) = x / L(y,z,y). (x / y) * a(y,z,y) = x / L(y,z,y). x * a(y,z,y) = (x * y) / L(y,z,y). (x * y) / L(y,z,y) = x * a(y,z,y). (x / L(y,z,y)) * y = x * a(y,z,y). (x * a(y,z,y)) \ (x * y) = L(y,z,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 != T(y * R(z,u,w),y) / y | x = R(T(y * z,y) / y,u,w). R(x,y,z) * a(u,R(x,y,z),u) = R(T(u * x,u) / u,y,z). R(T(x * y,x) / x,z,u) = R(y,z,u) * a(x,R(y,z,u),x). T(x,y) / y = (y \ x) * a(y,y \ x,y). (x \ y) * a(x,x \ y,x) = T(y,x) / x. T(x * a(y,x,y),y) = y \ T(y * x,y). 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). (T(x * y,x) / x) \ (y * x) = L(x,y,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 * L(K(x,z),u,w)) = T(x,y). T(x,y * T(x,z)) = T(x,y * x). T(x,y * (z * K(x,u))) = T(x,y * z). T(x,y / (x \ z)) = T(x,y / (z / x)). T(x,y / (z / x)) = T(x,y / (x \ z)). K((x * K(y,z)) \ u,T(y,x)) = K(u / (x * K(y,z)),y). L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u * K(w,x)). K(L(x,y,z),u * K(w,x)) = L(x,y,z) \ L(T(x,u),y,z). K(T(x,y),(y * K(z,x)) \ u) = K(x,u / (y * K(z,x))). x != K(T(y,z),(u * K(w,y)) \ v5) | x = K(T(y,z),u \ v5). 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))). x != K(T(y,z),z \ u) | x = K(y,u / z). 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) = K(x,y / (z * K(x,u))). K(x,y / (z * K(x,u))) = K(x,y / z). 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))). (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). 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). (x * R(x \ (x * K(y,z)),u,w)) * K(z,v5) = R(x,K(y,z),K(z,v5)) * (R(K(y,z),u,w) * K(z,v5)). R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(x \ (x * K(y,z)),w,v5)) * K(z,u). R(x,K(y,z),K(z,u)) * (R(K(y,z),w,v5) * K(z,u)) = (x * R(K(y,z),w,v5)) * K(z,u). x * (R(K(y,z),u,w) * K(z,v5)) = (x * R(K(y,z),u,w)) * K(z,v5). (x * R(K(y,z),u,w)) * K(z,v5) = x * (R(K(y,z),u,w) * K(z,v5)). (x * R(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * R(K(y,z),u,w)). x != (y * R(K(z,u),w,v5)) * K(u,v6) | x = y / (K(v6,u) * R(K(u,z),w,v5)). x * (K(y,z) * R(K(u,y),w,v5)) = x / (K(z,y) * R(K(y,u),w,v5)). x / (K(y,z) * R(K(z,u),w,v5)) = x * (K(z,y) * R(K(u,z),w,v5)). x = (x * (K(y,z) * R(K(z,u),w,v5))) * (K(z,y) * R(K(u,z),w,v5)). (x * (K(y,z) * R(K(z,u),w,v5))) * (K(z,y) * R(K(u,z),w,v5)) = x. 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 \ y,z \ y) = K(y / x,y / z). K(x / y,x / z) = K(y \ x,z \ x). K(x \ y,z) \ (y * K(y / x,z)) != u | u = y. K(K(x,y),z) != u | K(x,K(y,z)) = u. K(a(x,y,z),u) * a(x * y,z,K(L(z,y,x) \ z,u)) = K(L(z,y,x) \ z,u). R(x,y,x) != x * z | a(x,y,x) = z. x \ R(x,y,x) != z | z = a(x,y,x). x \ R(x,y,x) != z | a(x,y,x) = z. (x * y) \ (x * R(y,z,y)) != u | L(a(y,z,y),y,x) = u. L(a(x,y,x),K(x,x * y),z) = K(x,y) * K(x * y,x). (K(x,y) * z) \ (z * K(x,u)) = K(x,u) * K(T(y,z),x). x != K(y,z) * K(y * z,y) | x = a(y,z,y). L(a(x,y,x),K(x,x * y),z) = a(x,y,x). x / a(y,z,y) = (x / (K(y,y * z) * a(y,z,y))) * K(y,y * z). (x / (K(y,y * z) * a(y,z,y))) * K(y,y * z) = x / a(y,z,y). K(T(x,y),z \ 1) = K(x,y \ (z \ y)). (x / (y / z)) * K(u,z \ y) = x / T(y / z,T(u,z)). K(x * K(y,z \ u),u / z) = K(x,u / z). x != (y / (y / z)) * K(L(z,u,w),z \ y) | x = z * a(w,u * z,K(z \ y,z)). x / T(x / y,T(L(y,z,u),y)) = y * a(u,z * y,K(y \ x,y)). x / T(x / y,L(y,z,u)) = y * a(u,z * y,K(y \ x,y)). K(x \ L(K(y,z),u,w),y) = K(x \ 1,y). x != K(y,z) * (K(z,y * z) * u) | x = (z \ L(z,y,z)) * u. a(x,y,x) \ z = (x \ L(x,y,x)) * z. (x \ L(x,y,x)) * z = a(x,y,x) \ z. x \ L(x,y,x) = a(x,y,x) \ 1. a(x,y,x) \ 1 = x \ L(x,y,x). x * y != a(z,u,z) \ R(z,u,z) | z / y = x. x / R(x,y,x) = x \ L(x,y,x). 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)). K(x,y * K(z,x)) != u | u = K(x,y). K(x,y * K(z,x)) != u | K(x,y) = u. K(x,y * x) != z | K(x,x * y) = z. K(x,y \ T(z,x)) != u | K(x,y \ z) = u. K(x,y * T(z,x)) != u | K(x,y * z) = u. K(x,(y \ 1) \ x) != z | K(x,x * y) = z. K(L(x,y,z),y * x) != u | K(x,x * y) = u. a(x,y,x) * T(x,z) = R(T(x,z),y,x). a(x / y,z,x / y) * (x / y) = R(T(x / y,K(y,x)),z,x / y). R(x,y,x) \ 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(y,z)) * ((u * y) / u) = x * (T(y,z) * K(u,y)). (x * K(y,z)) * (y * K(u,y)) = x * (T(y,z) * K(u,y)). x * K(y,z) = T(K(z,y) \ x,K(z,y)). T(K(x,y) \ z,K(x,y)) = z * K(y,x). x * y != (K(z,u) * w) * K(u,z) | T(w,K(z,u)) / y = x. T(x,K(y,z)) / y = (K(y,z) * x) / T(y,z). (K(x,y) * z) / T(x,y) = T(z,K(x,y)) / x. (T(x,y) \ z) * K(x,y) = T(x \ z,K(y,x)). ((x \ y) \ z) * K(x \ y,x) = T((y / x) \ z,K(x,x \ y)). ((x / (x / y)) \ z) * K(y \ x,y) = T(y \ z,K(y,y \ x)). x * y != K(K(z,u),w) | K(z,K(w,u)) / y = x. K(x,K(y,z)) / y = 1 / T(y,K(x,z)). L(K(T(x,y),T(z,y)),u,w) = K(x,L(z,u / T(z,y),w)). K(T(x,y),T(z,L(z,u,w) * y)) = K(x,L(z,y,L(z,u,w))). L(K(x,y),z,u) = K(x,L(y,z / T(y,w),u)). K(x,L(y,z / T(y,u),w)) = L(K(x,y),z,w). K(x,L(y,z,u)) = L(K(x,y),z * T(y,w),u). L(K(x,y),z * T(y,u),w) = K(x,L(y,z,w)). K(x,L(y,y \ z,u)) = L(K(x,y),z,u). K(x,L(y,z,u)) = L(K(x,y),y * z,u). L(K(x,y),y * z,u) = K(x,L(y,z,u)). K((x \ y) \ (z * u),L(z,u,x)) = K(y \ (x * (z * u)),z). L(K(x,y / z),y,u) = K(x,L(y / z,z,u)). (x * (y * z)) * K(u,L(y,z,x)) = x * ((y * z) * K(u,y)). L(K(x,y),T(y,z) * u,w) = K(x,L(y,K(y,z) * u,w)). x * ((y * z) * K(u,y)) != (x * (y * z)) * w | K(u,L(y,z,x)) = w. (x * (y * z)) * u != x * ((y * z) * K(w,y)) | K(w,L(y,z,x)) = 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). R(K(x,y),z,u) = R(K(x,y),K(y,w) * z,u). R(K(x,y),K(y,z) * u,w) = R(K(x,y),u,w). R(K(x,y),y \ 1,z) = R(K(x,y),y \ K(y,u),z). R(K(x,y),y \ K(y,z),u) = R(K(x,y),y \ 1,u). ((((x \ 1) * (K(y,x) * z)) / ((x \ 1) * z)) * (x \ 1)) * z = (x \ 1) * (R(K(y,x),x \ K(x,u),z) * z). (x \ 1) * (R(K(y,x),x \ K(x,z),u) * u) = ((((x \ 1) * (K(y,x) * u)) / ((x \ 1) * u)) * (x \ 1)) * u. (x \ 1) * (R(K(y,x),x \ K(x,z),u) * u) = (K(y,x) * (x \ 1)) * u. (x \ 1) * (R(K(y,x),x \ K(x,z),u) * u) = (T(x,y) \ 1) * u. (x \ 1) * (R(K(y,x),x \ 1,z) * z) = (T(x,y) \ 1) * z. K(x,T(y,z * L(K(u,x),w,v5))) = K(x,T(y,z)). K(x,T(y,z)) = K(x,T(y,z * K(x,u))). K(x,T(y,z * K(x,u))) = K(x,T(y,z)). K(x,T(y,z * (u * K(w,x)))) = K(x,T(y,z * u)). K(x,T(y,z * (u * x))) = K(x,T(y,z * (x * u))). K(x,T(y,z * (K(u,x) * w))) = K(x,T(y,z * w)). K(x,y) * (z / y) = T(z / T(y,x),K(x,y)). T(x / T(y,z),K(z,y)) = K(z,y) * (x / y). 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). K(x,y) * (z / K(x,y)) = T(z,K(x,y)). K(x,y) * (z * (x * K(y,x))) = T(z * x,K(x,y)). K(x,y) * z != T(u,K(x,y)) | T(K(y,x) * u,K(x,y)) = z. T(K(x,y) * z,K(y,x)) = z / K(y,x). L(x \ (y / K(z,u)),x,K(z,u)) = (K(z,u) * x) \ T(y,K(z,u)). (x \ y) * T(z,K(x,x \ y)) = (y / x) * (z / K(x,x \ y)). (x / y) * (z / K(y,y \ x)) = (y \ x) * T(z,K(y,y \ x)). x * y != R(z,u,z) \ z | x \ (z \ L(z,u,z)) = y. x \ (x \ L(x,y,x)) = R(x,y,x) \ 1. x * L(K(y,z),u,w) = L(T(K(y,z),x),u,w) * x. L(T(K(x,y),z),u,w) * z = z * L(K(x,y),u,w). L(T(K(x,y),z),u,w) \ (z * L(K(x,y),u,w)) = z. T(K(1 / T(x,y),z),y) = K(1 / x,z). x * y != (z * (K(u,w) * v5)) * L(K(w,T(u,v5)),v5,z) | (z * v5) / y = x. (x * y) / (x * (K(z,u) * y)) = L(T(K(u,T(z,y)),x * (K(z,u) * y)),y,x). L(T(K(x,T(y,z)),u * (K(y,x) * z)),z,u) = (u * z) / (u * (K(y,x) * z)). L(K(x,T(T(y,z),u * (K(y,x) * z))),z,u) = (u * z) / (u * (K(y,x) * z)). L(K(x,T(T(y,z),u * z)),z,u) = (u * z) / (u * (K(y,x) * z)). x != L(K(y,T(T(z,u),w * u)),u,w) | x = K((w * u) / (w * (y \ u)),z). (x * y) / (x * (K(z,u) * y)) = K((x * y) / (x * (u \ y)),z). K(x,(y * z) / (y * (u \ z))) = K((y * z) / (y * (x \ z)),u). K((x * y) / (x * (z \ y)),u) = K(z,(x * y) / (x * (u \ y))). 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). (x * (K(y,z) * u)) / (x * u) = K(y,(x * u) / (x * (z \ u))). K(x,(y * z) / (y * (u \ z))) * (y * z) = y * (K(x,u) * z). T(x,T(y,z)) * K(y,z) = K(y,z) * T(x,y). K(T(x,T(y,z)),z) = K(T(x,y),z). x \ ((x \ L(x,y,x)) * T(x,z)) = T(x,z) * (R(x,y,x) \ 1). x != T(y,z) * (R(y,u,w) \ 1) | x = R(y,u,w) \ T(y,z). x \ ((x \ L(x,y,x)) * T(x,z)) = R(x,y,x) \ T(x,z). x \ (K(x,y) * L(x,z,x)) = R(x,z,x) \ T(x,y). x * K(y,z) != (u * (K(z,w) * K(y,z))) * K(w,z) | x = u. (x * (K(y,z) * K(u,y))) * (K(z,y) * K(y,u)) = x. (x * (y * K(z,u))) * w != x * y | w = L(K(u,z),y,x). K(x,y) = L(K(x,y),K(z,y),u). L(K(x,y),K(z,y),u) = K(x,y). L((K(x,y) * K(z,x)) \ 1,K(x,y) * K(z,x),u) = K(y,x) * K(x,z). x / (K(y,z) * K(z,u)) = x * (K(z,y) * K(u,z)). x != (x * (K(y,z) * K(u,y))) * w | K(z,y) * K(y,u) = w. (x * (K(y,z) * K(u,y))) * w != x | K(z,y) * K(y,u) = w. K(x,T(y,z)) = K(x,T(y,x \ z)). K(x,T(y,x \ z)) = K(x,T(y,z)). K(x,T(y,x \ z)) != u | K(x,T(y,z)) = u. 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)). x * K(x,T(y,z)) = T(x,T(y,x \ z)). R(K(x,T(y,z)),x * u,w) = K(R(x,u,w),T(y,x \ z)). K(x * y,T(z,y \ 1)) = K(x * y,T(z,x)). K(x,T(y,T(x,y) \ z)) = K(x,T(y,z)). K(x * L(y,z,u),y) = K(x * L(y,z,u),T(y,x)). K(x * L(y,z,u),T(y,x)) = K(x * L(y,z,u),y). T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)). x * y != T(z,u) * K(u * L(z,w,v5),z) | x \ R(z,u,L(z,w,v5)) = y. x \ R(x,y,L(x,z,u)) = K(y * L(x,z,u),x) * K(x,y). K(x * L(y,z,u),y) * K(y,x) = y \ R(y,x,L(y,z,u)). x \ R(x,y,L(x,z,u)) != w | K(x,y) * K(y * L(x,z,u),x) = w. x != K(y,z) * K(z,u) | x = (z * y) \ (y * T(z,u)). x \ R(x,y,L(x,z,u)) = (x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)). (x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)) = x \ R(x,y,L(x,z,u)). (x * (y * L(x,z,u))) \ ((x * y) * L(x,z,u)) = x \ R(x,y,L(x,z,u)). a(x,y,L(x,z,u)) = x \ R(x,y,L(x,z,u)). x \ R(x,y,L(x,z,u)) = a(x,y,L(x,z,u)). K(x,y) * K(y * L(x,z,u),x) = a(x,y,L(x,z,u)). K(x,y) * a(y,x,L(y,z,u)) = K(x * L(y,z,u),y). (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). ((x / y) * K(y,z)) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). ((x / y) * K(y,z)) * (y * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). x != (y * K(z,u)) * (z * K(w,z)) | x = y * (T(z,u) * K(w,z)). x * a(y,z,L(y,u,w)) = (x / y) * (T(y,z) * K(z * L(y,u,w),y)). (x / y) * (T(y,z) * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). (x / y) * R(y,z,L(y,u,w)) = x * a(y,z,L(y,u,w)). K(K(R(x \ 1,y,z) \ 1,u),w) = R(K(x,K(u,w)),y,z). K(x,K(y,z)) * (z \ u) = T(z,K(x,y)) \ u. K(x,y) * K(x,K(y,z)) != u | T(K(x,y),z) = u. K(x,K(y,z)) * (z \ u) != w | T(z,K(x,y)) \ u = w. (x * K(y,z)) * K(y,K(z,u)) = x * T(K(y,z),u). (K(x,y) / z) * K(x,K(y,1 / z)) = T(K(x,y),1 / z) / z. R(K(x,K(y,z)) * R(K(y,K(z,x)),u,w),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7). K(K(x,y),z) = K(x,K(K(x,u) \ y,z)). K(x,K(K(x,y) \ z,u)) = K(K(x,z),u). (x * K(y,K(z,u))) / u = x / T(u,K(y,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(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,y),z,u),L(y,w,v5)) = K(R(x,z,u),L(y,w,v5)). K(R(T(x,K(y,z)),u,w),z) = K(R(x,u,w),z). K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(x,T(w,y)). 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)). K(x,T(y,z * x)) = K(x,T(y,z)). K(x,T(y,z)) = K(x,T(y,z / x)). K(x,T(y,z / x)) = K(x,T(y,z)). K(a(x,y,z),T(u,(x * y) * z)) = K(a(x,y,z),T(u,x * (y * z))). K(x,T(y,z)) * (z * x) = (z * x) * K(x,y). a(T(x,y * z),z,T(x,y * z)) * K(z,T(x,y)) = K(T(x,y * z) * z,T(x,y * z)). x != (y * z) * K(z,u) | x = y * T(z,u). K(x,T(y,z)) * (z * x) = z * T(x,y). K(x,T(y \ (z * x),z)) = K(x,(z * x) / y). K(x,T(y,z)) * (z * x) != u | z * T(x,y) = u. x * y != K(z,T(u,w)) * (w * z) | (w * T(z,u)) / y = x. (x * T(y,z)) / T(x,y) = T(y,T(z,x)). x * y != K(z,u) * (x * z) | y = T(z,T(u,x)). T(x,y) = T(x,T(T(y,z),z)). T(x,T(T(y,z),z)) = T(x,y). K(x,T(y,z)) * ((z * y) * x) = (z * y) * T(x,y). 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)). x != T(y,z) | x = T(y,K(y,u) * z). T(x,T(T(y,z),z)) = T(x,K(x,u) * y). T(x,T(y \ z,y)) = T(x,z / y). T(x,T(y,z)) = T(x,(z * y) / z). T(x,(y * z) / y) = T(x,T(z,y)). T(T(x,y),y) * T(z,x) = z * T(T(x,y),y). T(x,T(T(y \ z,u),y)) = T(x,T(z / y,u)). T(x,T(y,z)) = T(x,y * K(z,y)). T(x,y * K(z,y)) = T(x,T(y,z)). T(x,y / z) * K(z \ y,z) = K(z \ y,z) * T(x,z \ y). T(x,y / z) * K(z \ y,z) = (y / z) \ (x * (z \ y)). x * y != T(z,u / w) * K(w \ u,w) | x \ ((u / w) \ (z * (w \ u))) = y. x \ ((y / z) \ (x * (z \ y))) = K(x,y / z) * K(z \ y,z). x != K(y,z / u) * K(u \ z,u) | x = u \ (z / T(z / u,y)). x \ ((y / z) \ (x * (z \ y))) = z \ (y / T(y / z,x)). x / K(x / y,z) = K(y \ x,z) \ x. (x * K(y,R(z,u,w))) \ x = K(R(z,K(z,v5) * u,w),y). K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5. K(R(x,K(x,y) * z,u),w) = K(R(x,z,u),w). K(R(x,K(x,y) * z,u),w) != v5 | K(R(x,z,u),w) = v5. 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,y,z),u) = K(R(x,K(w,x) * y,z),u). K(R(x,K(y,x) * z,u),w) = K(R(x,z,u),w). 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)). K(x,L(y,K(y,z) * u,w)) = K(x,L(y,u,w)). x != K(y,L(z,K(z,u) * w,v5)) | x = L(K(y,z),T(z,u) * w,v5). K(x,L(y,z,u)) = L(K(x,y),T(y,w) * z,u). 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)). R(x * a(y,x,y),z,u) = R(x,z,u) * a(y,R(x,z,u),y). R(x,y,z) * a(u,R(x,y,z),u) = R(x * a(u,x,u),y,z). K(x,y) * T(z * K(y,x),u) = T(K(y,x) * z,u) * K(x,y). T(K(x,y) * z,u) * K(y,x) = K(y,x) * T(z * K(x,y),u). x * (K(y,z) * L(T(y,x),u,w)) = L(y,u,w) * (x * K(y,z)). x * y != z * (K(u,w) * L(T(u,z),v5,v6)) | T(x,y) = y \ (L(u,v5,v6) * (z * K(u,w))). T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = L(L(T(y,x),u,w),K(y,z),x) \ (L(y,u,w) * (x * K(y,z))). L(L(T(x,y),z,u),K(x,w),y) \ (L(x,z,u) * (y * K(x,w))) = T(y * K(x,w),L(L(T(x,y),z,u),K(x,w),y)). L(T(x,y),z,u) \ (L(x,z,u) * (y * K(x,w))) = T(y * K(x,w),L(L(T(x,y),z,u),K(x,w),y)). T(x * K(y,z),L(L(T(y,x),u,w),K(y,z),x)) = L(T(y,x),u,w) \ (L(y,u,w) * (x * K(y,z))). x != 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)). x != K(K(y,z),u) | x = K(y,K(z,u)). K(x,K(K(x,y) \ z,u)) = K(x,K(z,u)). K(K(x,y) \ z,K(x,u)) = K(x,K(z,u)). K(K(x,y) \ z,T(K(x,u),w)) = K(x,K(z,T(u,w))). K(x,y) * z != K(x,u) * (K(x,y) * w) | z = K(x,u) * w. K(x,y) * (K(x,K(y,z)) * u) = K(x,T(y,z)) * u. (K(x,y) * T(T(y,z),u)) * w = K(x,y) * (T(T(y,z),u) * w). 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 != 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. T(T(x,K(y,x)),z * x) * ((T(x,x * z) * K(y,x)) \ u) = K(x,y) * u. 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. R(K(x,T(y,z)),u,w) * (z * K(y,v5)) = (z * K(y,v5)) * R(K(x,y),u,w). x != (y * K(z,u)) * R(K(u,w),v5,v6) | x = y * (R(K(u,w),v5,v6) * K(z,u)). R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * (R(K(x,y),u,w) * K(y,x)). T(K(x,y) * z,x) = T(z * K(x,y),T(x,y)). T(x * K(y,z),T(y,z)) = T(K(y,z) * x,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 * T(y,z \ y)) / T(x,y) = T(y,T(y * (z \ 1),x)). (x * T(y,z)) / T(x,y) = T(y,T(z * K(y,u),x)). T(x,T(y * K(x,z),u)) = (u * T(x,y)) / T(u,x). x != (y * T(z,u)) / T(y,z) | x = T(z,T(u,y)). T(x,T(x * (y \ 1),z)) = T(x,T(y \ x,z)). x != L(y,z,u) \ L(T(y,w),z,u) | x = K(L(y,z,u),w). K(L(x,y,z),u * K(w,x)) = K(L(x,y,z),u). K(L(x,y,z),K(u,x) * w) = K(L(x,y,z),w). K(L(x,y,z),L(K(u,x),w,v5) * v6) = K(L(x,y,z),v6). K(x,y \ (z \ y)) = K(x,T(z \ 1,y)). K(x,T(y \ 1,z)) = K(x,z \ (y \ z)). K(L(T(x,y),z,u),w) != v5 | K(L(x,z,u),T(w,y)) = v5. K(x \ (y * ((x \ 1) \ 1)),z) != u | K(y,T(z,x)) = u. K(x,y \ (z \ y)) != u | K(x,T(z \ 1,y)) = u. R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y * K(x,w)). K(R(x,y,z),u * K(x,w)) = R(x * K(u,x),y,z) \ R(x,y,z). K(x * (y * K(z,u)),z) = K(x * y,z). 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(R(x,y,z),u * K(w,x)). K(R(x,y,z),u * K(w,x)) = K(R(x,y,z),u). L(x * K(y \ 1,x),z,u) \ L(x,z,u) = K(L(x,z,u),y \ L(K(x,w),v5,v6)). K(L(x,y,z),u \ L(K(x,w),v5,v6)) = L(x * K(u \ 1,x),y,z) \ L(x,y,z). x != L(y * K(z,y),u,w) \ L(y,u,w) | 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). K(x,K(y,K(x,z) * u)) = K(x,K(y,u)). K(x,K(y,T(x,z) * u)) = K(x,K(y,x * 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)) * ((K(x,u) * z) \ w) = T(K(x,u) * z,K(x,y)) \ w. K(x,K(y,z)) * (z * K(u,x)) = T(z * K(u,x),K(x,y)). T(x,K(y,z)) * K(u,y) = T(x * K(u,y),K(y,z)). x != T(T(y,z) * K(u,z),K(z,w)) | x = T(y * K(u,z),T(z,w)). T(T(x,y),K(y,z)) * K(u,y) = T(x * K(u,y),T(y,z)). T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)). K(x,y) * T(z,K(x,u)) = T(K(x,y) * z,K(x,u)). T(x,K(y,z)) * L(K(u,y),w,v5) = T(x * K(L(u \ 1,w,v5) \ 1,y),K(y,z)). T(x * K(L(y \ 1,z,u) \ 1,w),K(w,v5)) = T(x,K(w,v5)) * L(K(y,w),z,u). T(x * K(y,z),K(z,u)) \ T(x,K(z,u)) = K(z,y). 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)). 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. T(x * K(y,T(x,z)),y) = T(x,K(y,z)). T(x * K(y,T(x,z)),y) != u | T(x,K(y,z)) = u. K(x,K(y,z)) * ((K(x,y) * z) \ u) = (z * K(x,y)) \ u. x * K(T(x,y),R(z,u,w)) = T(x,R((y * z) / y,u,w)). T(x,R((y * z) / y,u,w)) = x * K(T(x,y),R(z,u,w)). T(x,R(y / (y / z),u,w)) = x * K(T(x,z \ y),R(z,u,w)). K(x,T(y,z)) = K(x,z / (z / y)). K(x,y / (y / z)) = K(x,T(z,y)). x != K(y,T(z,u)) | x = K(T(y,u),z). K(x,y / (y / z)) = K(T(x,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 / x)) = T(K(x,y),z). K(x,T(y,z \ 1)) = K(x,T(y,z \ x)). K(x / y,T(z,u)) \ T(x / (K(y \ x,z) \ x),u) = K(K(x / y,z) \ x,T(K(x / y,z),u)). K(x / y,T(z,u)) \ T(K(y \ x,z),u) = K(K(x / y,z) \ x,T(K(x / y,z),u)). K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(x / y,T(z,u)) \ T(K(y \ x,z),u). K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(x / y,T(z,u)) \ K(y \ x,T(z,u)). x != K(y,T(z,u)) \ w | x = K(z,T(y,u)) * w. K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(z,T(x / y,u)) * K(y \ x,T(z,u)). x != K(K(y,z) \ u,T(K(y,w),v5)) | x = K(y,K(u,T(w,v5))). K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(y / z,K(y,T(x,u))). (x * K(y,T(z,u))) * K(z,w) = (x * K(z,w)) * K(y,T(z,u)). x * y = (x * L(y,z,y)) * a(y,z,y). (x * L(y,z,y)) * a(y,z,y) = x * y. K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),T(u,x * (y * z))). K(R(K(x,y) \ R(K(x,y),z,u),K(x,y),z * u),((z * u) \ K(y,x)) \ 1) = K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1). 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). K(R(K(x,y),z,u),w) = R(K(x,K(y,w)),z,u). R(K(x,K(y,z)),u,w) = K(R(K(x,y),u,w),z). K((K(x,y) * z) * u,x) = K(z * u,x). K(K(R(x,y,z),u) * w,x) = K(w,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(R(x,y,z) * u,x) = K(u * R(x,y,z),x). 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)). R((x \ y) * K(z \ (x \ y),x \ y),u,w) \ R(x \ y,u,w) = K(R(x \ y,u,w),z \ (y / x)). K(R(x \ y,z,u),w \ (y / x)) = K(R(x \ y,z,u),w \ (x \ y)). K(R(x \ (x * y),z,u),w * K(x,y)) = K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))). K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(x \ (x * y),z,u),w * K(x,y)). K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w * K(x,y)). T(x,K(y,R(x,z,u))) = x. x * a(y,z,K(z \ 1,u)) != w | w = x. L(K(x,y),x \ 1,z) = K(x,y). x * a(y,z \ 1,K(z,u)) != w | w = 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(x,K(y,x * K(y,z))) = 1. K(x,y) * K(y * T(x,z),x) = x \ R(x,y * K(x,z),x). x \ R(x,y * K(x,z),x) = K(x,y) * K(y * T(x,z),x). K(x,y * (z * K(x,u))) = K(x,y * z). K(x * K(y,z),u / (w * K(y,x))) = K(x * K(y,z),u / w). T(x,T(y,T(z,x))) = T(x,T(y,z)). R(x,T(K(y,z),u),T(K(z,w),v5)) = x. x != L(y,z \ 1,u) | x = L(y,1 / z,u). K(x,y) = L(K(x,y),1 / x,z). L(K(x,y),1 / x,z) = K(x,y). (x * (y \ 1)) * K(y,z) = x * ((y \ 1) * K(y,z)). L(K(1 / (x \ (x / y)),z),x \ (x / (1 / (1 / y))),u) = K(1 / (x \ (x / y)),z). T(x,y) = T(x,K(z,1 / x) * y). T(x,K(y,1 / x) * z) = T(x,z). K(x \ y,T(z,(x \ y) \ T(y,x))) = K(x \ y,T(z,x * K(y,x))). K(x,T(y,z)) != u | K(T(x,z),y) = u. K(x,T(y,z)) = T(K(x,y),x * z). T(K(x,y),x * z) = K(x,T(y,z)). T(K(x,y),z) * ((x \ z) * x) = (x \ z) * T(x,y). K(x,y) * x = T(x,T(y,T(T(x,z),u))). T(x,T(y,T(T(x,z),u))) = K(x,y) * x. K(x,T(y,x * z)) != u | K(x,T(y,z)) = u. K(x,y / T(x,z)) = K(x,x \ y). K(x * K(y \ z,u),z) = K(x * K(z / y,u),z). K(x * K(y / z,u),y) = K(x * K(z \ y,u),y). K(x * (1 / ((y * z) \ y)),z) = K((1 / ((y * z) \ y)) * x,z). K((1 / ((x * y) \ x)) * z,y) = K(z * (1 / ((x * y) \ x)),y). K(L(T(x,y),z,u) * w,y) = K(L(x,z,u) * w,y). K(x * y,z / x) = K((z / (z / x)) * y,z / x). K((x / (x / y)) * z,x / y) = K(y * z,x / y). K(T(x,T(y,z)) * u,y) = K(x * u,y). x != K(y * z,z) | x = K(z * y,z). K(x * T(y,z),y) = K(y * x,y). T(x,y) \ T(x * K(x \ z,x),y) = K(T(x,u) \ z,T(x,y)). K(T(x,y) \ z,T(x,u)) = T(x,u) \ T(x * K(x \ z,x),u). (T(x,y) * z) * K(x * z,x) = T(T(x,y) * z,x). x != K(T(y,z) \ T(u,z),u) | x = K(y \ u,T(u,z)). K(T(x,y) \ z,z) = K(x \ z,T(z,y)). K(x,(x * y) \ z) != u | K(x,T(z / (x * y),y)) = u. 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 != 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). x * K(T(x,y),z) = T(x,(y * z) / y). T(x,(y * z) / y) = x * K(T(x,y),z). K(x,(y * z) / y) != u | K(x,T(z,y)) = u. 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 * R(K(x,K(y,z)),u,w) = T(x,R(K(y,z),u,w)). R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w) \ 1)). K(x,y / z) * K(x,K(u,z \ y)) = K(x,T(y / z,T(u,z))). K(x,K(y,T(z,u))) = K(z,K(y,T(x,u))). K(x,y) * K(y,K(z,T(x,u))) = T(K(x,y),T(z,u)). K(x,K(y,T(z,u))) != w | K(z,K(T(x,u),y)) = w. K(x,K(y,T(z,u))) != w | K(z,K(y,T(x,u))) = w. K(x,R(T(y,x \ z),u,w)) = K(x,R(T(y,z),u,w)). K(x,R(T(y,z),u,w)) = K(x,R(T(y,x * z),u,w)). K(x,R(T(y,x * z),u,w)) = K(x,R(T(y,z),u,w)). K(x,(x * y) \ ((x * z) * y)) = K(x,R(T(z,y),x,y)). K(x,y / (z * u)) = K(x,y / ((z * K(w,x)) * u)). K(x,y / ((z * K(u,x)) * w)) = K(x,y / (z * w)). K(x,y / ((z * x) * u)) = K(x,y / ((x * z) * u)). K(x,y / (((x \ z) * x) * u)) = K(x,y / (z * u)). K(x,y / (z * u)) = K(x,y / ((K(x,w) * z) * u)). K(x,y / ((K(x,z) * u) * w)) = K(x,y / (u * w)). K(x,y / ((K(z,x) * u) * w)) = K(x,y / (u * w)). K(x,y / ((z * u) * w)) = K(x,y / ((z * (K(v5,x) * u)) * w)). K(x,y / ((z * (K(u,x) * w)) * v5)) = K(x,y / ((z * w) * v5)). x != K(y,((z * u) * R(y,z,u)) / ((w * (K(z * u,y) * z)) * u)) | x = K(R(y,K(z * u,y) * z,u),w \ y). K(x,((y * z) * R(x,y,z)) / ((u * y) * z)) = K(R(x,K(y * z,x) * y,z),u \ x). K(R(x,K(y * z,x) * y,z),u \ x) = K(x,((y * z) * R(x,y,z)) / ((u * y) * z)). 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)). (x * K(y,z)) * K(u,T(y,w)) = x * (K(y,z) * K(u,T(y,w))). x != (y * K(z,u)) * K(w,T(z,v5)) | x = (y * K(w,T(z,v5))) * K(z,u). x * (K(y,z) * K(u,T(y,w))) = (x * K(u,T(y,w))) * K(y,z). (x * K(y,T(z,u))) * K(z,w) = x * (K(z,w) * K(y,T(z,u))). x != (y * K(z,T(u,w))) * K(u,u \ w) | x = (y / T(w / (w / u),z)) * u. x * (K(y,y \ z) * K(u,T(y,z))) = (x / T(z / (z / y),u)) * y. x * (T(y / (y / z),u) \ z) = (x / T(y / (y / z),u)) * z. (x / T(y / (y / z),u)) * z = x * (T(y / (y / z),u) \ z). (x / T(1 / (1 / y),z)) * y = x * (y * (1 / T(y,z))). R(K(x,K(y,z \ 1)),u,w) * x = T(x,K(R(z,u,w) \ 1,y)). x * T(y,T(x,z)) != u | T(y * x,K(z,x)) = u. T(x,y * T(z,K(x,u))) = T(x,y * z). R(K(x,T(y,z)),z,u) != w | ((z * K(x,y)) * u) / (z * u) = w. K(R(x,y,z),T(u,x \ w)) = K(R(w / (w / x),y,z),u). K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,y \ x)). K(K(R(x,y,z),u) * w,T(x,v5)) = K(w,T(x,v5)). x != K(T(y,z),T(u,z)) | x = K(y,u). K(K(x,y) * z,T(u,z)) = K(z * K(x,y),u). x != K(T(y,L(y,z,u) * w),T(v5,w)) | x = K(L(y,w,L(y,z,u)),v5). K(x,T(y,z)) = K(L(x,z,L(x,u,w)),T(y,L(x,u,w) * z)). K(L(x,y,L(x,z,u)),T(w,L(x,z,u) * y)) = K(x,T(w,y)). (x * K(y,x)) * K(x,T(z,y)) = T(x * K(y,x),z). x != K(y * z,y) | x = K(T(y,u) * z,y). K(x * T(y,z),y) = K(T(y,u) * x,y). K(T(x,y) * z,x) = K(z * T(x,u),x). K(x,y) = K(y * (x / T(y,z)),y). K(x * (y / T(x,z)),x) = K(y,x). K(x,K(y,R(x,z,u)) * w) = K(x,w). K(x,y) = K(x,K(R(x,z,u),w) * y). K(x,K(R(x,y,z),u) * w) = K(x,w). K(x,y * R(x,z,u)) = K(x,R(x,z,u) * y). K(x,R(x,y,z) * u) = K(x,u * R(x,y,z)). K(x,y * K(z,R(x,u,w))) = K(x,y). K(x,y / (z / R(x,u,w))) = K(x,y / (R(x,u,w) \ z)). 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,u)) / w) = K(x,y / (R(x,z,u) \ w)). K(x,(K(x,y) * z) * u) = K(x,z * u). K(x,T((y / z) \ 1,y)) = K(x,y \ z). x != K(K(y,z) * u,T(w,u)) | x = K(u * K(y,z),w). K(K(x,y) * z,z \ u) = K(z * K(x,y),(z / u) \ 1). K(x * K(y,z),(x / u) \ 1) = K(K(y,z) * x,x \ u). x != K(y * K(z,u),(y / z) \ 1) | x = K(y,y \ T(z,u)). K(K(x,y) * z,z \ x) = K(z,z \ T(x,y)). K(x,K(y,z)) * u = K(y,T(x,z)) * (K(x,y) * u). K(x,T(y,z)) * (K(y,x) * u) = K(y,K(x,z)) * u. K(T(x,y),z) * u != w | K(x,T(z,y)) * u = w. T(K(x,y),z) * u != w | K(x,T(y,z)) * u = w. K(x,K(y,z)) * (K(z,y) * u) != w | K(z,T(y,x)) * u = w. 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. R(K(x,T(T(y,z),z * u)),z,u) = (z * u) \ ((z * K(x,y)) * u). ((x * y) \ ((x * K(z,u)) * y)) \ 1 = R(K(T(T(u,x),x * y),z),x,y). R(K(T(T(x,y),y * z),u),y,z) = ((y * z) \ ((y * K(u,x)) * z)) \ 1. T(T(x,y),T(z,y)) != u | K(x,z) * T(x,y) = 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)). (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. T(x,y * K(L(x,z,u),w)) = T(x,y). x != (K(y,z) * (K(z,u) * w)) / (K(y,z) * K(z,u)) | x = w * K(K(y,z) * K(z,u),w). (K(x,y) * (K(y,z) * u)) * (K(y,x) * K(z,y)) = u * K(K(x,y) * K(y,z),u). x / (x / K(y,z)) = K(y,T(z,x)). x * K(T(y,z),u) != w | x * K(y,T(u,z)) = w. K((x \ 1) \ y,x) = K(x * y,x). x * (y * K(x * y,x)) = T(x * y,x). (x * K(y * x,y)) * y = T(x * y,y). (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). K((1 / x) \ y,x) = K(x * y,x). K(x \ y,x \ 1) = K((x \ 1) * y,x \ 1). K((x \ 1) * y,x \ 1) = K(x \ y,x \ 1). L(K(x * (y \ z),x),y \ z,y) = K((y * (x \ 1)) \ z,x). x != K(y \ 1,T(z,u)) | x = K(u \ (y \ u),z). K(T(x,y) \ 1,z) = K(y \ (x \ y),z). K((x * y) \ y,z) = K(y \ (x \ y),z). 1 / (x \ K(y \ (z \ y),x)) = T(x,(z * y) \ y). T(x,y \ (z \ y)) = T(x,(z * y) \ y). T(x,(y * z) \ z) = T(x,z \ (y \ z)). 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 \ (z \ y)) != u | T(x,(z * y) \ y) = u. K(T(T(x,y),z),u) = K(x,T(T(u,y),z)). 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. K(x * (K(y,z) * u),y) = K(x * u,y). K(x * (y / T(z,u)),u) = K(x * (y / z),u). K(x * (y / R(z,u,z)),z) = K(x * (y / T(z,u)),z). x * K(y / z,(z \ y) \ x) = (y / z) * (x / (y / z)). x * K(((y * (z * y)) / y) / z,T(y,z * y) \ x) = (((y * (z * y)) / y) / z) * (x / (((y * (z * y)) / y) / z)). (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(((x * (y * x)) / x) / y,T(x,y * x) \ z). (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(L(x,T(y,x),x),T(x,y * x) \ z). (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(L(x,T(y,x),x),T(x,x * y) \ z). 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. T(x,a(K(x,y),z,u)) = x. T(a(K(x,y),z,u),x) = a(K(x,y),z,u). a(K(x,y),z,u) * x = x * a(K(x,y),z,u). a(K(x,y),z,u) * K(x,w) = K(x,w) * a(K(x,y),z,u). K(x,y) * a(K(x,z),u,w) = a(K(x,z),u,w) * K(x,y). K(x,y * K(x,z)) != u | K(x,y) = u. 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,T(z,x))) != u | K(x,T(y,z)) = u. K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w / R(x,z,u))). K(x,T(y,z / R(x,u,w))) = K(x,T(y,R(x,u,w) \ z)). x != K(y,T(z,u / R(y,w,v5))) | x = K(y,T(z,u)). 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,R(x,z,u) * w)) = K(x,y) * K(x,K(y,w)). x != K(y,T(z \ u,u)) | x = K(y,u / z). K(x,T(y \ (R(x,z,u) * w),w)) = K(x,(R(x,z,u) * w) / 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,T(y,(x * z) * u)) != w | K(x,T(y,z * u)) = w. K(x,K(y,z)) = K(x,K(y,R(x,u,w) \ z)). K(x,K(y,R(x,z,u) \ w)) = K(x,K(y,w)). K(x,K(y,(x * z) * u)) = K(x,K(y,z * u)). K(x,K(y,x * z)) = 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)). x != K(y,K(z,u)) * K(z,y) | x = K(z,T(y,u)). K(x,T(y,(y * z) * u)) = K(x,T(y,z * u)). K(x,T(y,z * u)) = K(x,T(y,(y \ z) * u)). K(x,T(y,(y \ z) * u)) = K(x,T(y,z * u)). K(x \ y,T(x,z)) = K(x \ y,T(x,y * z)). K(x \ y,T(x,y * z)) = K(x \ y,T(x,z)). L(T(K(x \ y,T(x,z)),z),z,y) = (y * (K(x \ y,x) * z)) / (y * z). L(K(x \ y,x),z,y) = (y * (K(x \ y,x) * z)) / (y * z). (x * (K(y \ x,y) * z)) / (x * z) = L(K(y \ x,y),z,x). L(K(x \ y,x),z,y) * (y * z) = y * (K(x \ y,x) * z). L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(y \ (y * x),y) * z). L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(x,y) * z). ((x * y) * (K(y,x) * z)) / ((x * y) * z) = L(K(y,x),z,x * y). x * y != L(K(z,u),w,u * z) * ((u * z) * w) | ((u * z) * (K(z,u) * w)) / y = x. ((x * y) * (K(y,x) * z)) / (z * T(x * y,z)) = L(K(y,x),z,x * y). x != (y * (K(z,u) * w)) / (y * w) | x = K(z,(y * w) / (y * (u \ w))). L(K(x,y),z,y * x) = K(x,((y * x) * z) / ((y * x) * (y \ z))). K(x,((y * x) * z) / ((y * x) * (y \ z))) = L(K(x,y),z,y * x). x != K(y,z / ((u * y) * w)) | x = K(y,z / (y * (u * w))). 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)). (x \ y) / K(x,T(z,y)) = T(x,z) \ y. (x \ y) * K(z,T(x,y)) = T(x,z) \ y. K(x,(y * z) \ z) = K(x,T(y \ 1,z)). K(x,T(y \ 1,z)) = K(x,(y * z) \ z). x != K(y,T(z \ 1,u)) | x = K(y,u \ (z \ u)). K(x,(y * z) \ z) = K(x,z \ (y \ z)). 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(T(y,z),T(u,w)) | x = K(y,T(T(u,z),w)). K(x,T(y,z) * K(u,T(y,z))) = K(x,T(T(y,u),z)). K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))). x * K(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)). K(R(x,y,z),T(u,x \ w)) = K(R(x,y,z),T(u,w)). x * K(R(y,z,u),T(w,y \ v5)) != K(R(y,z,u),T(w,v5)) | 1 = x. 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(T(x,y),R(z,u,w)) = K(T(x,z \ y),R(z,u,w)). K(T(x,y \ z),R(y,u,w)) = K(T(x,z),R(y,u,w)). T(x,R(y / (y / z),u,w)) = x * K(T(x,y),R(z,u,w)). x != y * K(T(y,z),R(u,w,v5)) | 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 != K(y,z) * K(y,K(z,u)) | x = T(K(y,z),u). T(K(x,y),K(z,y) \ u) = T(K(x,y),u). 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(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. 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)). 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)). x \ (y * K(z,T(x,u))) = T(y / T(x,T(z,u)),x). 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). x != K(R(T(y,z),u,w),T(v5,z)) | x = K(R(y,u,w),v5). K(T(x,y),T(z,y)) = K(R(x,u,L(T(x,y),w,v5)),z). K(R(x,y,L(T(x,z),u,w)),v5) = K(x,v5). (K(x,y) / y) \ 1 = T(y,R(x,z,L(T(x,u),w,v5))). T(x,R(y,z,L(T(y,u),w,v5))) = (K(y,x) / x) \ 1. x != (K(y,z) / z) \ 1 | x = T(z,y). T(x,R(y,z,L(T(y,u),w,v5))) = T(x,y). T(x,R(y,z,y)) = T(x,y). T(x,R(y / (y / z),u,z)) = T(x,y / (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. R(x,y,x) * T(z,x) = z * R(x,y,x). T(x,T(y,y \ z)) = T(x,T(y,z)). T(x,(y * z) / y) = T(x,y / (y / z)). T(x,T(y,z)) = T(x,T(y,y * z)). T(x,T(y,y * z)) = T(x,T(y,z)). R(x,y,x) * (x \ z) = (z / x) * R(x,y,x). R(x,y,x) * (K(z,x) * (x \ u)) = K(z,x) * ((u / x) * R(x,y,x)). 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). ((x * y) / x) \ (z * y) = T((z / (y * K(x,y))) * y,x / (x / y)). T((x / (y * K(z,y))) * y,z / (z / y)) = ((z * y) / z) \ (x * y). T(x * K(y,z),z / (z / y)) = ((z * y) / z) \ (x * y). x != T(K(y,z),T(u,z)) | x = T(K(y,z),u). T(K(x,y \ z),T(y,z)) = T(K(x,y \ z),y). T(x,(y \ z) \ z) = T(x,T(y,z)). T(x,y \ z) = T(x,T(z / y,z)). T(x,T(y / z,y)) = T(x,z \ 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). 1 / (x \ K(x * y,x)) = T(x,y * R(x,z,x)). T(x,y * R(x,z,x)) = 1 / (x \ K(x * y,x)). x != 1 / (y \ K(z,y)) | x = T(y,z). T(x,y * R(x,z,x)) = T(x,x * y). T(x,y * R(x,z,x)) = x * K(x,x * y). R(x,y,x) * (T(x,z) \ u) = K(z,x) * ((u / x) * R(x,y,x)). K(x,y) * ((z / y) * R(y,u,y)) = R(y,u,y) * (T(y,x) \ z). (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,T(u,z)),z * K(u,y)) * z. L(x,y / T(1 / z,u),w) = L(x,y / T(z \ 1,u),w). T(x,y / T(1 / z,u)) = T(x,y / T(z \ 1,u)). (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. x * (K(y,x) * K(y,K(z,u))) = (y * x) / T(y,K(z,u)). K(x * K(y,L(z,u,w)),z) = K(x,z). K((L(x,y,z) \ u) * L(x,y,z),x) = K(u,x). K(x,y) = K(K(L(y,z,u),w) * x,y). K(K(L(x,y,z),u) * w,x) = K(w,x). K(x * 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 * K(z,y),u) | x = K(y,T(u,z)). K(x,T(y,K(L(x,z,u),w) * v5)) = K(x,T(y,v5)). K(x,T(y,L(x,z,u) * (u * z))) = K(x,T(y,u * (z * x))). K(x,K(y,T(z,u))) \ K(y,x) = T(K(y,x),T(z,y \ u)). 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,T(y,z * u)) = K(x,T(y,(z * K(w,x)) * u)). K(x,T(y,(z * K(u,x)) * w)) = K(x,T(y,z * w)). K(x,T(y,T(z,K(u,x)))) = K(x,T(y,z)). K(x,y / (x \ z)) != u | K(x,y / (z / x)) = u. K(x,y) * K(y,K(z,T(x,x * u))) = T(K(x,y),T(z,u * x)). x != K(y,z) * K(z,K(u,T(y,w))) | x = T(K(y,z),T(u,w)). T(K(x,y),T(z,u * x)) = T(K(x,y),T(z,x * u)). x != T(K(y,z \ u),T(z,u)) | x = T(K(y,z \ u),z). T(K(x,y \ (z * x)),T(y,x * z)) = T(K(x,y \ (z * x)),y). 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). K(x,T(y \ (z * x),T(y,z))) = T(K(x,y \ (z * x)),y). K(x,K(y,z)) * T(y,K(x,u)) = T(T(y,K(x,z)),K(x,u)). R(K(x,T((y / z) \ x,u)),x,z) = K(x,T((y / (x * z)) \ 1,u)). K(x,T((y / z) \ x,u)) = K(x,T((y / (x * z)) \ 1,u)). K(x,T((y / (x * z)) \ 1,u)) = K(x,T((y / z) \ x,u)). 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). x != T(K(y,z \ (u * y)),z) | x = K(y,T(z \ (u * y),T(z,u))). K(x,(y / z) \ x) = K(x,T(y \ (z * x),T(y,z))). K(x,T(y \ (z * x),T(y,z))) = K(x,(y / z) \ x). x != T(K(y,z \ u),z) | x = K(y,u / z). K(x,(y / z) \ x) = K(x,(z * x) / y). K(x,(y * x) / z) = K(x,(z / y) \ x). 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,T(R(y,z,u) * (y \ x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). K(x,T(R(y,z,u) * (y \ x),y)) = K(x,x * (y \ R(y,z,u))). x != K(y,(z / u) \ y) | x = K(y,(y * u) / z). K(x,(y * x) / z) = K(x,(x * y) / z). x != K(y,(z * y) / u) | x = K(y,z / (y \ u)). K(x,(y / z) \ x) = K(x,z / (x \ y)). K(x,y / (x \ z)) = K(x,(z / y) \ x). K(x,y / (x \ z)) * u = K(x,(z / y) \ x) * u. K(x,(y * x) / z) != u | K(x,(z / y) \ x) = u. ((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,z * K(u,z)) | x = T(y,(z \ 1) \ K(u,z)). T(x,T(y,z)) = T(x,(y \ 1) \ K(z,y)). T(x,(y \ 1) \ K(z,y)) = T(x,T(y,z)). T(x,T(y,z) * K(u,T(y,z))) = T(x,T(T(y,u),z)). T(x,K(y,1 / z) / z) = T(x,T(1 / z,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,x * y) * T(x * R(y,z,u),x) = R(y,z,u) * T(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y). R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = K(u,u * x) * T(u * R(x,y,z),u). K(x,x * y) * T(x * L(y,z,u),x) = L(y,z,u) * T(R(x,L(y,z,u),x),R(x,L(y,z,u),x) * y). L(x,y,z) * T(R(u,L(x,y,z),u),R(u,L(x,y,z),u) * x) = K(u,u * x) * T(u * L(x,y,z),u). x != K(y,z) * T(u,y) | x = T(K(y,z) * u,y). R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(K(u,u * x) * (u * R(x,y,z)),u). R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(T(u,u * x) * R(x,y,z),u). T((K(x,y) * K(y,z)) \ (K(x,y) * (u * K(y,z))),K(x,y)) = R(T(u,K(x,y) * K(y,z)),K(x,y),K(y,z)). T(L(T(x,K(y,z)),K(y,z),K(u,y)),K(u,y)) = R(T(x,K(u,y) * K(y,z)),K(u,y),K(y,z)). T(T(x,K(y,z)),K(u,y)) = R(T(x,K(u,y) * K(y,z)),K(u,y),K(y,z)). R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(T(x,K(z,u)),K(y,z)). x != T(y,K(z,u)) | x = T(y,K(u,z)). R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(T(x,K(z,u)),K(z,y)). x != R(y,K(z,u),K(u,w)) | x = 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(y,u)) = T(x,K(y,z) * K(u,y)). T(T(x,K(y,z)),K(y,u)) = T(x,K(y,u) * K(z,y)). x != T(T(y,K(z,u)),K(z,w)) | x = T(y,K(z,u) * K(w,z)). T(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). T(T(x,K(y,z)),K(z,u)) = T(x,K(z,u) * K(y,z)). T(T(x,K(y,z)),K(z,u)) = T(x,K(y,z) * K(z,u)). K(K(x,y) * K(y,z),K(x,y) \ u) = T(u,K(y,z) * K(x,y)) \ u. K(K(x,y) * K(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). T(x * K(K(y,z) * K(u,y),x),K(y,u) * K(z,y)) = x. x * K(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). (x * (K(y,z) * K(u,y))) / T(((K(y,z) * K(u,y)) \ x) * (K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). T(x,K(y,z) * K(u,y)) != w | T(x,K(y,u) * K(z,y)) = w. T(T(x,K(y,z)),K(y,u)) != w | T(x,K(y,u) * K(z,y)) = w. 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 * K(z,y))) / (x * K(z,y)) = (x * y) / x. x != K(y,T(z \ (R(y,u,w) * v5),v5)) | x = K(T(y,R(y,u,w) * (y \ v5)),(R(y,u,w) \ z) \ v5). K(x,(R(x,y,z) * u) / w) = K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u). K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,(R(x,y,z) * u) / w). K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * (x \ w))) = K(x,(R(x,y,z) * w) / u). 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(T(K(x,y),z),y * u,w) = K(x,R(T(y,z),u,w)). R(K(x,T(y,z)),y * u,w) = K(x,R(T(y,z),u,w)). R(K(x,T(y,z)),u,w) = K(x,R(T(y,z),y \ u,w)). K(x,R(T(y,z),y \ u,w)) = R(K(x,T(y,z)),u,w). K(x,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). 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). 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. T(K(x,y),z) * T(K(y,u),z) = z \ (K(y,u) * (K(x,y) * z)). x \ (K(y,z) * (K(u,y) * x)) = T(K(u,y),x) * T(K(y,z),x). T(K(x,y) * K(z,x),u) = T(K(z,x),u) * T(K(x,y),u). T(K(x,y),z) * T(K(y,u),z) = T(K(y,u) * K(x,y),z). (x \ R(x,y \ 1,x)) / (T(x * (y \ 1),x) / x) != z | R(y,y \ 1,x \ R(x,y \ 1,x)) = z. x != y * K(z,y \ u) | x = T(u / y,z) \ u. x / T(y \ x,z) = T(x / y,z) \ x. (T(x / y,z) \ x) \ x = T(y \ x,z). x / T(y,z) = T(x / (x / y),z) \ x. T(x / (x / y),z) \ x = x / T(y,z). x / T((y \ x) \ x,z) = T(y,z) \ x. (T(x,y) \ z) \ z = T((x \ z) \ z,y). K(x,T(y \ z,u)) = K(x,T(T(z / y,u),z)). K(x,T(T(y / z,u),y)) = K(x,T(z \ y,u)). K(x,T(T(y,z),u)) = K(x,T((y \ u) \ u,z)). K(x,T((y \ z) \ z,u)) = K(x,T(T(y,u),z)). x / T(T(y,y \ x),z) = T(y,z) \ x. x != y \ (z * K(u,T(y,w))) | x = T(z / T(y,T(u,w)),y). T(x,y) \ z = T(z / T(x,T(y,z)),x). T(x / T(y,T(z,x)),y) = T(y,z) \ x. T(x / T(y,z),y) = T(y,T(z,x)) \ x. x * y != (z * (u * K(w,u))) * w | ((z * u) * T(w,u)) / y = x. ((x * y) * T(z,y)) / ((y * K(z,y)) * z) = R(x,y * K(z,y),z). (x * (y * T(z,y))) \ ((x * y) * T(z,y)) = a(x,y * K(z,y),z). ((x * y) * T(z,y)) / (y * T(z,y)) = R(x,y * K(z,y),z). R(x,y,T(z,y)) = R(x,y * K(z,y),z). R(x,y * K(z,y),z) = R(x,y,T(z,y)). R(x,y / z,z) = R(x,z \ y,T(z,z \ y)). R(x,y \ z,T(y,y \ z)) = R(x,z / y,y). x \ R(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)). R(R(x,y / z,z),y,K(z \ y,z)) = R(x,z \ y,z). K(x,(T(y,z) / u) / (y / u)) * (y / u) = T(y,K(x,z)) / u. ((T(x,K(y,z)) / u) * u) / x = R(K(y,(T(x,z) / u) / (x / u)),x / u,u). R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = ((T(y,K(x,z)) / u) * u) / y. x * (T(y,K(z,u)) / w) != y / w | K((T(y,u) / w) / (y / w),z) = x. K(x,T(y,z)) = T(K(x,y),T(z,K(u,x))). T(K(x,y),T(z,K(u,x))) = K(x,T(y,z)). K(x \ 1,y) * K(y,x \ K(x,z)) = K(x \ 1,K(y,z)). x != K(y,K(z,u)) | x = K(z,K(u,y)). K(x \ 1,y) * K(y,x \ K(x,z)) = K(y,K(z,x \ 1)). K(x,K(y,z \ 1)) \ (K(z \ 1,x) * (z \ K(z,y))) = T(z \ K(z,y),x). K(x,K(y,z \ 1)) \ (K(z \ 1,y) * (z \ K(z,x))) = T(z \ K(z,x),y). 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,y) * z) * ((K(y,x) \ 1) \ 1)) * K(u,y) = ((1 / (1 / K(y,x))) \ z) * (K(y,x) * K(u,y)). ((K(x,y) * z) * K(y,x)) * K(u,y) = ((1 / (1 / K(y,x))) \ z) * (K(y,x) * K(u,y)). ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = ((K(y,x) * z) * K(x,y)) * K(u,x). ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z,K(x,y)) * K(u,x). x != T(y,K(z,u)) * K(w,z) | x = T(y * K(w,z),K(z,u)). ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). (K(x,y) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(y,x)). (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(x,y)). x != (K(y,z) * (K(z,u) * w)) * (K(z,y) * K(u,z)) | x = w * K(K(y,z) * K(z,u),w). T((K(x,y) * z) * K(y,x),K(x,u)) = z * K(K(u,x) * K(x,y),z). T(T(x,K(y,z)),K(y,u)) = x * K(K(u,y) * K(y,z),x). x * K(K(y,z) * K(z,u),x) = T(T(x,K(z,u)),K(z,y)). x * K(K(y,z) * K(z,u),x) = T(x,K(z,u) * K(y,z)). x * y != T(x,K(z,u) * K(w,z)) | y = K(x,K(z,w) * K(u,z)). K(K(x,y) * K(y,z),u) = K(u,K(y,x) * K(z,y)). x * K(K(y,z) * K(u,y),x) = T(x,K(y,z) * K(u,y)). K(K(x,y) * K(z,x),u) = K(u,K(x,z) * K(y,x)). K(K(x,y) * K(z,x),u) = K(u,K(x,y) * K(z,x)). x != K(K(y,z) * K(u,y),w) | x = K(K(u,y) * K(y,z),K(y,u) * w). K(x,K(y,z) * K(u,y)) = K(K(u,y) * K(y,z),K(y,u) * x). K(K(x,y) * K(y,z),K(y,x) * u) = K(u,K(y,z) * K(x,y)). K(K(x,y) * K(z,x),u) = K(u,K(z,x) * K(x,y)). (K(x,y) * K(z,x)) * K(u,K(x,y) * K(z,x)) = T(K(x,y) * K(z,x),u). x != K(K(y,z) * K(u,y),w) | x = K(w,K(y,u) * K(z,y)). 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 * K(y,K(z,u)) = (x * K(z,y)) * T(K(y,z),u). (x * K(y,z)) * T(K(z,y),u) = x * K(z,K(y,u)). (x * y) \ (y * T(x,z)) != u | K(y,x) * K(x,z) = u. 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,K(y,(z * u) \ ((z * x) * u))) = 1. T(x,y / (x \ z)) = T(x,(z / y) \ x). K(x,T(y,z)) != u | T(K(x,y),z) = u. K(x \ y,z) * K(z,y / x) = K(x,K(z,x \ y)). K(x,y) * K(y,T(x,z)) != u | K(x,K(y,z)) = u. K(x \ y,z) * K(z,y / x) = K(z,K(x,x \ y)). K(x,y / z) * K(z \ y,x) = K(x,K(z,z \ y)). 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)). (K(x,y) * T(x,z)) \ x = K(z,x) * K(y,x). (K(x,y) * T(x,K(z,u))) \ x = K(z,K(u,x)) * K(y,x). (K(x,K(y,z)) * T(x,K(u,w))) \ x = K(u,K(w,x)) * K(z,K(x,y)). (K(x,K(y,z)) * T(y,K(u,w))) \ y = K(u,K(w,y)) * K(x,K(y,z)). T(T(x,K(y,z)),K(y,u)) \ x = K(y,K(u,x)) * K(y,K(x,z)). T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(y,K(x,z)). T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(x,K(y,z)). T(x,K(y,z) * K(z,u)) \ x = K(x,K(z,y)) * K(x,K(z,u)). K(K(x,y) * K(y,z),u) = K(u,K(y,x)) * K(u,K(y,z)). K(x,K(y,z)) * K(x,K(y,u)) = K(K(z,y) * K(y,u),x). x != K(K(y,z) * K(z,u),w) | 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)). x != K(y,K(z,u) * K(w,z)) | x = K(K(z,u) * K(w,z),y). K(x,K(y,z)) * K(x,K(y,u)) = K(K(y,z) * K(u,y),x). (((K(x,y) * K(z,x)) \ u) \ u) \ 1 = (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))). (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = (((K(x,y) * K(z,x)) \ u) \ u) \ 1. 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)). x != T(y,z / (y \ u)) | x = T(y,(u / z) \ y). T(x,(y * x) / z) = T(x,(z / y) \ x). T(x,T(y,z)) = T(x,T(y,x \ z)). T(x,T(y,x \ z)) = T(x,T(y,z)). T(x,T(y,x \ z)) != u | T(x,T(y,z)) = u. 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 * y,T(y,x)) != z | T(x * y,y) = z. 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). a(x,y * K(x,z),x) = x \ R(x,y,x). a(x,y * K(x,z),x) != u | a(x,y,x) = u. (T(x,y) * (z * R(x,u,w))) \ ((T(x,y) * z) * R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). a(T(x,y),z,R(x,u,w)) = a(x,K(x,y) * z,R(x,u,w)). a(x,K(x,y) * z,R(x,u,w)) = a(T(x,y),z,R(x,u,w)). a(x,K(x,y) * z,R(x,u,w)) != v5 | a(T(x,y),z,R(x,u,w)) = v5. a(x,x \ y,R(x,z,u)) = a(T(x,w),T(x,w) \ y,R(x,z,u)). a(T(x,y),T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). x != K(K(y,z),u) | x = K(z,K(y,u)). K(K(x,y) * z,K(x,u)) = K(x,K(z,u)). K(K(x,y) * z,K(x,u)) = K(z,K(x,u)). K(x,K(y,z)) = K(K(u,y) * x,K(y,z)). K(K(x,y) * z,K(y,u)) = K(z,K(y,u)). R(x,K(y,z) * u,K(u,K(y,w))) = x. K(x * K(y,z),K(y,u)) = K(x,K(y,u)). R(x,K(y,z),T(u,K(y,w))) = R(x,K(y,z),u). R(x,K(y,z),T(K(z,y) * u,K(y,w))) * u = (x * K(y,z)) * (K(y,z) \ u). R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(y,z) \ u). R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(z,y) * u). K(x,1) * ((y \ R(y,z,u)) / K(x,R(y,w,v5))) = K(R(y,w,v5),x) * (y \ R(y,z,u)). 1 * ((x \ R(x,y,z)) / K(u,R(x,w,v5))) = K(R(x,w,v5),u) * (x \ R(x,y,z)). 1 * ((x \ R(x,y,z)) * K(R(x,u,w),v5)) = K(R(x,u,w),v5) * (x \ R(x,y,z)). 1 * (x \ R(T(x,y),z,u)) = K(R(x,z,u),y) * (x \ R(x,z,u)). K(R(x,y,z),u) * (x \ R(x,y,z)) = 1 * (x \ R(T(x,u),y,z)). 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) * (x \ R(x,z,R(x,u,w))) = x \ R(T(x,y),z,R(x,u,w)). 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). 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. R(x,x \ 1,y \ R(y,x \ 1,y)) = x. R(x,x \ 1,a(y,x \ 1,y)) = x. x \ a(y,x \ 1,y) = (x \ 1) * a(y,x \ 1,y). (x \ 1) * a(y,x \ 1,y) = x \ a(y,x \ 1,y). T(x \ a(y,x \ 1,y),y) = y \ T(y * (x \ 1),y). (x \ T(x * (y \ 1),x)) * R(T(y \ a(x,y \ 1,x),x) \ 1,z,u) = T((y \ a(x,y \ 1,x)) * R((y \ a(x,y \ 1,x)) \ 1,z,u),x). T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R(T(x \ a(y,x \ 1,y),y) \ 1,z,u). T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = (y \ T(y * (x \ 1),y)) * R((y \ T(y * (x \ 1),y)) \ 1,z,u). 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). 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). K(x / ((x / (y * z)) * y),u) = K(L(z,y,x / (y * z)),T(u,x)). K(L(x,y,z / (y * x)),T(u,z)) = K(z / ((z / (y * x)) * y),u). x * K(T(x,y),z \ 1) = T(x,z \ K(y,z \ 1)). T(x,y \ K(z,y \ 1)) = x * K(T(x,z),y \ 1). K(T(x,y) \ z,T(x,u)) = K(x \ z,T(x,u)). K(x \ T(y,z),T(y,u)) = K(x \ y,T(y,u)). K(x,L(y / z,z,u)) = K(x,T((u * z) \ (u * y),z)). K(x,T((y * z) \ (y * u),z)) = K(x,L(u / z,z,y)). T(x,(x \ y) * T(x,z)) = T(x,y). x != T(y,(z * u) / z) | x = T(y,z / (z / u)). T(x,T(y,z)) = T(x,z / (z / y)). T(x,y / (y / z)) = T(x,T(z,y)). T(x,R((y * z) / y,u,w)) = T(x,T(R(z,u,w),y)). 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 * T(K(x,y),z) = T(x,T(y,z / x)). x / T(x,y) = K(K(z,1 / x) * y,x). K(K(x,1 / y) * z,y) = y / T(y,z). T(L(K(x,y),z,u),x * w) = L(K(x,T(y,w)),z,u). (x * (y / T(x,z))) / x = (y / T(x,z)) * K(x,x \ y). (x / T(y,z)) * K(y,y \ x) = (y * (x / T(y,z))) / y. K(x,K(y,y * z)) = K(y,K(x,z)). K(x,K(y,z)) = K(x,K(y,x \ z)). K(x,K(y,x \ z)) = K(x,K(y,z)). K(x * y,T(z,T(x,y))) = K(x * y,T(z,x)). T(x,T(x,y) / z) = T(x,z \ T(x,y)). x != T(y,T(z,u)) | x = T(T(y,z),K(u,z)). T(x,y \ z) = T(T(x,z / y),K(z,z / y)). T(T(x,y / z),K(y,y / z)) = T(x,z \ y). T(x,y) = T(x,x * (y / T(x,z))). T(x,x * (y / T(x,z))) = T(x,y). T(x,y / z) = T(x,T(z \ y,y)). T(x,T(y \ z,z)) = T(x,z / y). K(x,K(y,y * z)) = K(x,K(y,z)). K(x,K(x \ y,z)) = K(x,K(z,y)). x != K(y,K(z,u)) | x = K(y,K(u,z)). K(x,K(y,x \ z)) = K(x,K(z,y)). x != K(y,K(z,u)) | x = K(u,K(y,z)). K(x,K(y,x \ z)) = K(z,K(x,y)). K(x,K(y,z)) = K(x,K(y,y \ z)). K(x,K(y,y \ z)) = K(x,K(y,z)). K(x,K(y,z * y)) = K(x,K(y,z)). K(x,K(y,z)) = K(x,K(y,z / y)). K(x,K(y,z / y)) = K(x,K(y,z)). K(x,K(x \ y,z)) = K(x,K(y,z)). K(x,K(y,y \ z)) = K(y,K(z,x)). x != K(y,K(z,z \ u)) | x = K(y,u / z) * K(z \ u,y). K(x,K(y,z)) = K(x,z / y) * K(y \ z,x). K(x,y / z) * K(z \ y,x) = K(x,K(z,y)). K(x,K(y \ z,y)) = K(x,K(z / y,z)). K(x,K(y,z \ 1)) = K(x,K(y,z \ y)). K(x,K(y,z * y)) != u | K(x,K(z,y)) = u. x != K(y,K(z,T(u,w))) | x = K(u,K(z,T(y,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)) = K(x,K(x * y,z)). K(x,K(x * y,z)) = K(x,K(y,z)). K(x,K(y,z)) * (K(x,x \ y) * u) = K(x,T(x \ y,z)) * u. K(x,K(y * z,y)) = K(y,K(z,x)). K(x,K(x * y,z)) = K(y,K(x,z)). K(x,K(x * y,z)) != u | K(y,K(x,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,z \ u)) | x = K(y,K(z,u)). K(x,K(y / z,y)) = K(x,K(z,y)). 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(y \ z,z)) = K(z,K(y,x)). K(x,K(y,z \ y)) = K(x,K(y,z)). 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(y \ 1,z)) = K(x,K(y,z)). K(x,K(y,z \ 1)) = K(x,K(y,z)). K(x,K(y,z \ 1)) = K(z,K(x,y)). x != K(y,K(z,u)) | x = K(K(y,u),z). K(x,K(y,z)) = K(K(x,y \ 1),z). K(K(x,y \ 1),z) = K(x,K(y,z)). K(x,K(y,z)) = K(y \ 1,K(x,z)). K(x \ 1,K(y,z)) = K(y,K(x,z)). K(x,K(y,z)) = K(x,K(z \ 1,y)). K(x,K(y \ 1,z)) = K(x,K(z,y)). K(x,K(y,1 / z)) = K(x,K(z,y)). K(x,K(y,z / (u * z))) = K(x,K(u,y)). K(x,K(y,z \ u)) = K(x,K(u \ z,y)). K(x,K(y \ z,u)) = K(x,K(u,z \ y)). K(x,K(y,R(z \ R(z,u,w),z,u * w) \ 1)) = K(x,K(a(z,u,w),T(y,z * (u * w)))). 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. K(x,K(y,z)) = K(y,K(x \ 1,z)). K(x,K(y \ 1,z)) = K(y,K(x,z)). K(1 / x,K(y,z)) = K(y,K(x,z)). K(x \ 1,K(y,z)) = K(y,K(z,x)). K(x \ 1,K(y,z)) = K(x,K(y,z)). x * y != K(z \ 1,K(u,w)) | K(u,K(z,w)) / y = x. K(x,K(y,z)) / y = T(1 / y,K(x,z)). T(1 / x,K(y,z)) = K(y,K(x,z)) / x. K(x,K(y,z)) = K(1 / z,K(x,y)). K(1 / x,K(y,z)) = K(y,K(z,x)). K(x,K(y,1 / z)) = K(z,K(x,y)). K(x,K(y,z)) * (x \ 1) = T(x \ 1,K(y,z)). K(x,K(y,1 / z)) = K(x,K(y,z)). K(x,K(y,1 / z)) != u | K(x,K(y,z)) = u. K(x,K(y,1 / z)) != u | K(x,K(z,y)) = u. 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,(T(y,z) / u) / (y / u)) = K(z,K(x,(u \ 1) / (y / u))). K(x,K(y,(z \ 1) / (u / z))) = K(y,(T(u,x) / z) / (u / z)). K(x,K(y,z)) * y = T(y,K(x,z \ 1)). T(x,K(y,z \ 1)) = K(y,K(x,z)) * x. K(x,K(y,z)) * (K(z,x) * T(z \ 1,y)) = T(z \ K(z,x),y). x != K(y,K(z,u)) * z | x = T(z,K(u,y)). T(x,K(y,z \ 1)) = T(x,K(z,y)). x != K(y,K(z,u)) * z | x = T(z,K(y,u)). T(x,K(y,z \ 1)) = T(x,K(y,z)). T(x,K(y \ 1,z)) = T(x,K(z,y)). T(x,T(y,z \ 1)) = T(T(x,y),K(y,z)). T(T(x,y),K(y,z)) = T(x,T(y,z \ 1)). K(x,y \ 1) * T(z,K(x,y)) = z * K(x,y \ 1). T(x,K(y,z \ u)) = T(x,K(y,u \ z)). T(T(x,y),K(y,z)) != u | T(x,T(y,z \ 1)) = u. T(x,T(y,z)) = T(x,T(y,z \ 1)). T(x,T(y,z \ 1)) = T(x,T(y,z)). T(x,T(y,z \ 1)) != u | T(x,T(y,z)) = u. T(x,T(y,z \ u)) != w | T(x,T(y,u \ z)) = w. T(x,T(y,z \ 1)) = x * K(x,T(y,z)). K(x,T(y,z \ 1)) = K(x,T(y,z)). K(x,K(y,z / u)) = K(x,K(y,u / z)). K(x,K(y,z \ u)) = K(x,K(y,u \ z)). T(x,K(y \ z,u)) = T(x,K(u,z \ y)). K(x,T(y * z,z)) = K(x,T(y * z,y)). 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)). x != K(y * z,T(u,z \ 1)) | x = K(y * z,T(u,y)). K(x * y,T(z,y)) = K(x * y,T(z,x)). K(x,T(y,z)) = K(x,T(y,1 / z)). K(x,T(y,1 / z)) = K(x,T(y,z)). K(x,T(y,z \ u)) = K(x,T(y,u \ z)). (x \ 1) * K(y,T(z,x)) = K(y,z) * (x \ 1). K(x,T(y,z)) * (z \ 1) = (z \ 1) * K(x,y). x != K(y,z) * (K(y,u) * (z * y)) | x = T(y,u) * z. K(x,T(x \ y,z)) * (K(y,z) * x) = T(x,x \ y) * K(y,z). K(x,T(y,z)) * T(x \ 1,z) = T(x \ K(x,y),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. x * y != (z \ 1) * (K(z,u) * w) | ((z \ K(z,u)) * w) / y = x. ((x \ K(x,y)) * T(z,(x \ 1) * K(x,y))) / ((x \ 1) * K(x,y)) = L(z,K(x,y),x \ 1). ((x \ 1) * y) / ((x \ K(x,z)) * y) = K(z,x). x != ((y \ 1) * z) / ((y \ K(y,u)) * z) | x = R(K(u,y),y \ 1,z). K(x,y) = R(K(x,y),y \ 1,z). R(K(x,y),y \ 1,z) = K(x,y). K(x,y) * z = (y \ 1) * ((y \ K(y,x)) \ z). (x \ 1) * ((x \ K(x,y)) \ z) = K(y,x) * z. (x \ 1) * (K(y,x) * z) = (T(x,y) \ 1) * z. x != (y \ 1) * (K(z,y) * u) | x = K(z,y) * ((y \ 1) * u). (T(x,y) \ 1) * z = K(y,x) * ((x \ 1) * z). K(x,y) * ((y \ 1) * z) = (T(y,x) \ 1) * z. T(x,y) * ((T(x,y) \ 1) * z) = L(z,x \ 1,x). K(x,R(K(y,R(z,u,w) \ z),z,u * w)) = K(x,K(a(z,u,w),T(y,z * (u * w)))). K(x,T(y,z \ x)) != u | K(x,T(y,z)) = u. K(x,T(x \ y,z)) = K(x,T(x \ y,z \ y)). K(x,T(x \ y,z \ y)) = K(x,T(x \ y,z)). K(x,T(y,z \ 1)) != u | K(x,T(y,z)) = u. K(x,T(y * (z \ x),y)) != u | K(x,T(y * (z \ x),z)) = u. K(x,T(y,1 / z)) != 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. K(x,T(y,z \ (u \ z))) != w | K(x,T(y,T(u,z))) = w. K(x,K(y,y / z)) = K(y,K(x,z)). K(x,K(y,z)) = K(x,K(y,x / z)). K(x,K(y,x / z)) = K(x,K(y,z)). K(x,K(y,x / z)) = K(x,K(z,y)). K(x,K(y,z)) * K(x / z,y) = K(z \ x,y). K(x,K(y,z)) = K(x / y,K(x,z)). K(x / y,K(x,z)) = K(x,K(y,z)). K(x / y,K(x,z)) = K(y,K(x,z)). K(x / y,K(x,z)) != u | K(x,K(y,z)) = u. K(x,T(y / z,u)) * K(z \ y,T(x,u)) != w | K(y,K(z,T(x,u))) = w. K(x,K(y * z,(y \ u) \ z)) = K(x,K(u \ (y * z),z \ (y \ 1))). K(x,K(y \ (z * u),u \ (z \ 1))) = K(x,K(z * u,(z \ y) \ u)). K(x,K(y,z \ u)) != w | K(x,K(y,u \ z)) = w. K(x,K(y,z \ x)) = K(z,K(x,y)). x != K(y,K(z,R(u,w,v5) \ 1)) | x = R(K(y,K(z,u \ 1)),w,v5). K(x,K(y,R(z,u,w))) = R(K(x,K(y,z \ 1)),u,w). R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w))). K(x,K(y,K(z,u) * w)) = K(x,K(y,w \ K(u,z))). K(x,K(y,z \ K(u,w))) = K(x,K(y,K(w,u) * z)). K(x,y) * K(x,K(y,z)) = T(K(x,y),z \ 1). R(K(x,K(y,z)),u,w) = K(y,K(z,R(x,u,w))). R(K(x,K(y,z)),u,w) = K(x,K(y,R(z,u,w))). 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 != K(y,R(K(z,R(u,w,v5) \ u),u,w * v5)) | x = K(y,K(a(u,w,v5),T(z,u * (w * v5)))). K(x,K(R(y,z,u) \ y,R(w,y,z * u))) = K(x,K(a(y,z,u),T(w,y * (z * u)))). 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,R(z,u,w))) * (K(z,y) \ R(T(K(z,y),x),u,w)) = K(z,y) \ R(K(z,y),u,w). K(x,K(R(y,z,u),R(z,w,v5) \ z)) = K(x,K(y,(z * u) / (R(z,w,v5) * u))). 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))). x * R(K(x,K(y,z)),u,w) = T(x,K(y,R(z,u,w))). K(x,K(y,z)) = K(x,K(y,R(z,y,u))). K(x,K(y,R(z,y,u))) = K(x,K(y,z)). K(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). x != K(K(y,z) * R(K(z,y),u,w),K(z,y) * (u * w)) | x = K(a(K(z,y),u,w),((u * w) \ K(y,z)) \ 1). 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). x != K(K(y,z) * K(z,u),K(z,y) * w) | x = K(w,K(z,u) * K(y,z)). 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(x,K(y,(z * u) / (R(z,w,v5) * u))) != v6 | K(x,K(R(z,w,v5) \ z,R(y,z,u))) = v6. L(x,y \ 1,K(y,z)) = x. x = L(x,y,K(y \ 1,z)). L(x,y,K(y \ 1,z)) = x. x != L(y \ (K(z,u) * w),y,K(u,z)) | x = (K(u,z) * y) \ w. x \ (K(y,x \ 1) * z) = (K(x \ 1,y) * x) \ z. (K(x \ 1,y) * x) \ z = x \ (K(y,x \ 1) * z). (K((x / y) \ 1,z) * x) / y = K((x / y) \ 1,z) * (x / y). (x * K(1 / x,y)) \ z = x \ (K(y,x \ 1) * z). ((x \ y) * K(y \ x,z)) \ u = (x \ y) \ (K(z,(x \ y) \ 1) * u). (x \ y) \ (K(z,(x \ y) \ 1) * u) = ((x \ y) * K(y \ x,z)) \ u. T(x,K(y \ 1,z)) = T(x,K(y,z)). x != y * R(K(y,K(z,u)),w,v5) | x = T(y,R(K(z,u),w,v5)). T(x,K(y,R(z,u,w))) = T(x,R(K(y,z),u,w)). T(x,R(K(y,z),u,w)) = T(x,K(y,R(z,u,w))). K(x,K(y,z / (u * z))) != w | K(x,K(u,y)) = w. K(x,K(y,z)) = K(x,K(z,y * x)). K(x,K(y,z * x)) = K(x,K(z,y)). K(x,K(y,(z \ u) / u)) != w | K(x,K(z,y)) = w. K(x,K(y,z * x)) = K(z,K(x,y)). K(x,K(y,z)) * z = T(z,K(y * x,x)). T(x,K(y * z,z)) = K(z,K(y,x)) * x. x != K(y,K(z,u)) * u | x = T(u,K(z,y)). T(x,K(y * z,z)) = T(x,K(y,z)). T(x,K(y * z,z)) != u | T(x,K(y,z)) = u. T(x,K(y,z * y)) = T(x,K(z,y)). T(x,K(y,y * z)) = T(x,K(z,y)). T(x,K(y,y * z)) = T(x,K(y,z)). T(x,K(y,z)) = T(x,K(y \ z,y)). T(x,K(y \ z,y)) = T(x,K(y,z)). T(T(x,K(y,z)),z * y) = T(x,T(z * y,z)). x != T(y * z,K(y,u)) | x = y * T(z,K(y,u)). T(x * y,K(x,x * z)) = x * T(y,K(x,z)). 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(x,K(y,z)) = T(x,K(y,z / y)). T(x,K(y,z / y)) = T(x,K(y,z)). T(x,K(y,y \ z)) = T(x,K(z,y)). x != T(y,K(z,u \ w)) | x = T(y,K(z,w \ u)). T(x,K(y,z)) = T(x,K(y,z \ y)). T(x,K(y,z \ y)) = T(x,K(y,z)). T(x,K(y \ z,y)) = T(x,K(z,y)). T(x,K(y,y \ z)) != u | T(x,K(y,z)) = u. K(x,K(y,z / (u * z))) != w | K(x,K(y,u)) = w. K(x,K(y,z / u)) != w | K(x,K(y,u / z)) = w. K(x,T(y,x / z)) = K(x,T(y,z)). K(x,K(y,z)) * K(x,y \ z) = K(x,z / y). K(x,y \ z) * K(x,K(y,z)) = K(x,z / y). K(x,K(y,z)) * K(x,z / y) = K(x,y \ z). (K(x,y / z) * K(K(x,z \ y),u)) / T(K(x,z \ y),u) = R(K(x,K(z,y)),K(x,z \ y),K(K(x,z \ y),u)). K(x,K(y,z)) * K(y,z \ x) = K(y,x / z). K(x,K(y,z)) * K(x,z \ y) = K(x,y / z). K(x,K(y,z)) * K(x,z / y) != u | u = K(x,y \ z). K(x,K(y,z)) * K(x,z / y) != u | K(x,y \ z) = u. (K(x,y / z) * K(x,K(u,z \ y))) / T(K(x,z \ y),u) = R(K(x,K(z,y)),K(x,z \ y),K(K(x,z \ y),u)). K(x,T(y / z,T(u,z))) / T(K(x,z \ y),u) = R(K(x,K(z,y)),K(x,z \ y),K(K(x,z \ y),u)). R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) / T(K(x,y \ z),u). R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) / K(x,T(y \ z,u)). x != y / K(z,T(u,w)) | x = y * K(u,T(z,w)). R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) * K(y \ z,T(x,u)). R(K(x,K(y,z)),K(x,z \ y),K(K(x,z \ y),u)) = K(x,T(y / z,T(u,z))) * K(z \ y,T(x,u)). x != R(y,z,K(z,u)) | x = y. K(x,T(y / z,T(u,z))) * K(z \ y,T(x,u)) = K(x,K(y,z)). 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)). x != T(y,K(z \ 1,u)) | x = T(y,K(u,z)). T(x,R(K(y,z),u,w)) = T(x,K(z,R(y,u,w))). x != T(y,R(K(z,u),w,v5)) | x = T(y,K(z,R(u,w,v5))). T(x,K(y,R(z,u,w))) = T(x,K(z,R(y,u,w))). T(T(x,K(y,z)),K(u,R(y,w,v5))) = T(x,K(y,z) * K(R(u,w,v5),y)). T(x,K(y,T(z * (u \ 1),u))) = T(x,K(u \ z,R(y,u,u \ 1))). T(x,K(y \ z,R(u,y,y \ 1))) = T(x,K(u,T(z * (y \ 1),y))). K(x,y) * T(z,K(u,R(x,w,v5))) = T(K(x,y) * z,K(x,R(u,w,v5))). 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))). 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)). 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))). x != K(y * z,K(u,R(w,y,z)) * K(w,u)) | x = K(a(K(u,w),y,z),((y * z) \ K(w,u)) \ 1). K(x * y,K(z,u) * K(u,R(z,x,y))) = K(a(K(z,u),x,y),((x * y) \ K(u,z)) \ 1). K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = K(z * u,K(x,y) * K(y,R(x,z,u))). K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y \ z,z)). 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)). x != K(a(y,z,u),(((y * z) * u) \ 1) * ((w \ ((y * z) * u)) * w)) | x = K(a(y,z,u),T((((y * z) * u) \ 1) * ((w \ ((y * z) * u)) * w),y * (z * u))). K(a(x,y,z),K((x * y) * z,u)) = K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))). K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(a(x,y,z),K((x * y) * z,u)). K(a(x,y,z),T((((x * y) * z) \ 1) * ((u \ ((x * y) * z)) * u),x * (y * z))) = K(u,K(a(x,y,z),(x * y) * z)). K(x * 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). T(x,y) * K(y * R(x,z,u),x) = R(x,y,R(x,z,u)). x * y != T(z,u) * K(u * R(z,w,v5),z) | x \ R(z,u,R(z,w,v5)) = y. x \ R(x,y,R(x,z,u)) = K(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. x != K(y,z) * K(u,y) | x = (y * u) \ (u * T(y,z)). x \ R(x,y,R(x,z,u)) = (x * (y * R(x,z,u))) \ ((y * R(x,z,u)) * T(x,y)). (x * (y * R(x,z,u))) \ ((y * R(x,z,u)) * T(x,y)) = x \ R(x,y,R(x,z,u)). x \ R(x,y,R(x,z,u)) != w | K(y * R(x,z,u),x) * K(x,y) = w. (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)). 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)). 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). T(x,y) \ R(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). ((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)). K(x,K(y \ z,z)) != u | K(x,K(y,z)) = u. x * K(x,K(y,z)) = T(x,K(z,y \ x)). 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,x / z)) = T(x,K(y,z)). T(x,K(y,z)) = T(x,K(y,x \ z)). T(x,K(y,x \ z)) = T(x,K(y,z)). T(x,K(y,z)) = T(x,K(y,x * z)). T(x,K(y,x * z)) = T(x,K(y,z)). 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). T(x,T(T(y,z),z)) != u | T(x,y) = u. T(x,T(y \ z,y)) != u | T(x,z / y) = u. K(x * y,x) != z | K(y * x,x) = z. K(K(x,y) * z,T(x,u)) != w | K(z,T(x,u)) = w. K((x \ 1) \ y,y) != z | K(x * y,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 * 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(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). x != T(K(y,z),K(u,z) \ w) | x = T(K(y,z),w). T(K(x,y),z / K(u,y)) = T(K(x,y),z). T(K(x,y),z * K(y,u)) = T(K(x,y),z). T(x,(y * K(x,z)) \ u) = T(x,y \ u). T(x,(x * y) \ z) = T(x,(y * x) \ z). T(x,(y * x) \ z) = T(x,(x * y) \ z). T(x,(y * (x * z)) \ u) = T(x,(y * (z * x)) \ u). T(x,(y * (z * x)) \ u) = T(x,(y * (x * z)) \ u). T(x,y \ z) = T(x,(K(u,x) * y) \ z). T(x,(K(y,x) * z) \ u) = T(x,z \ u). K(x,T(y \ x,z)) = K(x,T(y,z) \ x). K(x,T(y,z) \ x) = K(x,T(y \ x,z)). K(x,y \ x) = K(x,T(y,K(z,z \ x)) \ x). K(x,T(y,K(z,z \ x)) \ x) = K(x,y \ x). R(x,y,z) \ R(x * K(u * w,x),y,z) = K(u * (K(x,v5) * w),R(x,y,z)). K(x * (K(y,z) * u),R(y,w,v5)) = R(y,w,v5) \ R(y * K(x * u,y),w,v5). L(x,y,z) / L(x * K(u * w,x),y,z) = K(L(x,y,z),u * (K(x,v5) * w)). K(L(x,y,z),u * (K(x,w) * v5)) = L(x,y,z) / L(x * K(u * v5,x),y,z). x != R(y,z,u) \ R(y * K(w,y),z,u) | x = K(w,R(y,z,u)). 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(a(x,y,T(z,y)),y) = K((x * (z * y)) \ ((x * y) * z),y). K((x * (y * z)) \ ((x * z) * y),z) = K(a(x,z,T(y,z)),z). K(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). 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)))). K(x,K(y,(z * (u * x)) \ ((z * x) * u))) = K(x,K(y,a(z,x,T(u,x)))). K(x,L(y,y \ 1,z)) = K(x,y). 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 / 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))). 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. 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). x != T(y,K(z,y \ u)) | x = T(y,K(z,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,(y * z) \ z) = T(x,T(y \ 1,z)). T(x,T(y \ 1,z)) = T(x,(y * z) \ z). x != T(y,T(z,u) \ 1) | 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). ((x * (y * K(z,y))) / x) / ((x * y) / x) = K(T(z,x),y). K(T(x,y),z) * ((y * z) / y) = (y * (z * K(x,z))) / y. ((x * y) / x) / ((x * (y * K(z,y))) / x) != u | K(y,T(z,x)) = u. ((x * y) / x) / ((x * (y * K(z,y))) / x) = K(y,T(z,x)). ((x * y) / x) / ((x * ((z * y) / z)) / x) = K(y,T(z,x)). ((x * y) / x) / ((x * (y * K(z \ 1,y))) / x) = K(y,T((z \ u) / u,x)). K(x,T((y \ z) / z,u)) = ((u * x) / u) / ((u * (x * K(y \ 1,x))) / u). ((x * y) / x) / ((x * (z / (z / y))) / x) = K(y,T(y \ z,x)). ((x * y) / x) / ((x * (y * K(z / u,y))) / x) = K(y,T((u / z) \ 1,x)). 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 * 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)). x != T(K(y,z),u) * T(K(z,w),u) | x = T(K(z,w) * K(y,z),u). a(x,y,R(x,z,u)) = T(K(x,y) * K(y * R(x,z,u),x),w). T(K(x,y) * K(y * R(x,z,u),x),w) = a(x,y,R(x,z,u)). L(x,K(y,K(z,u)),u / K(w,z)) = L(x,v5 / v6,(v6 * (v5 / v6)) \ v5). L(x,K(y,K(z,u)),y / K(w,u)) = L(x,v5 / v6,(v6 * (v5 / v6)) \ v5). x != L(y,z / u,(u * (z / u)) \ z) | x = y. L(x,K(y,K(z,u)),y / K(w,u)) = x. K(x,T(K(y,K(z,u)) \ w,(y / K(v5,u)) * K(y,K(z,u)))) = K(x,((y / K(v5,u)) * w) / ((y / K(v5,u)) * K(y,K(z,u)))). K(x,T(K(y,K(z,u)) * w,(y / K(v5,u)) * K(y,K(z,u)))) = K(x,((y / K(v5,u)) * w) / ((y / K(v5,u)) * K(y,K(z,u)))). 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). x != K(y,K(z,u)) / z | x = 1 / T(z,K(y,u)). T(1 / x,K(y,z)) = 1 / T(x,K(y,z)). 1 / T(x,K(y,z)) = T(1 / x,K(y,z)). 1 / (K(x,y) * z) = T(1 / (z * K(x,y)),K(y,x)). T(1 / (x * K(y,z)),K(z,y)) = 1 / (K(y,z) * x). x != K(y,z) * (u * y) | x = T(y,z) * T(u,y). T(x * T(y,z),K(y,z)) = T(y,z) * T(x,y). K(K(x,y) * (z * x),u) = K(z * T(x,y),T(u,K(x,y))). K(x * T(y,z),T(u,K(y,z))) = K(K(y,z) * (x * y),u). x != K(K(R(y,z,u),w) * v5,T(y,v6)) | x = K(v5,T(y,v6)). K(x * T(R(y,z,u),w),T(T(y,v5),K(R(y,z,u),w))) = K(x * R(y,z,u),T(y,v5)). K(x * R(T(y,z),u,w),T(T(y,v5),K(R(y,u,w),z))) = K(x * R(y,u,w),T(y,v5)). K(x * R(T(y,z),u,w),T(T(y,v5),K(z,R(y,u,w)))) = K(x * R(y,u,w),T(y,v5)). K(x * R(T(y,z),u,w),T(y,v5)) = K(x * R(y,u,w),T(y,v5)). T(T(x,y) * K(z * R(x,u,w),T(x,y)),z) = R(T(x,y),z,R(T(x,y),u,w)). T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(T(x,w),z,u)). 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. T(T(x,y),z) * (K(z * R(x,u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * v5. T(T(x,y),z) * (T(T(x,y),z * R(x,u,w)) \ v5) = R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5). K(T(x,y),z) * (K(z * R(x,u,w),T(x,y)) * v5) = R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5). K(x,T(y,z)) * (K(y * R(x,u,w),T(x,z)) * v5) = R(T(x,z),y,R(x,u,w)) * (T(x,z) \ v5). x != 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(R(T(x,y),x \ z,z \ y),u) = K(((x \ z) * (z \ y)) \ y,u). K(R(T(x,y / (((x \ y) \ 1) \ 1)),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). K(R(T(x,y * (((y \ x) \ 1) \ 1)),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). K(R(T(x,x),x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). K(R(x,x \ y,y \ (y / (((x \ y) \ 1) \ 1))),z) = K(((y \ (y / (x \ y))) * (x \ y)) \ (y / (((x \ y) \ 1) \ 1)),z). K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ (x / (((y \ x) \ 1) \ 1))),z). K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ (x * (((x \ y) \ 1) \ 1))),z). K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,((x \ y) \ 1) \ 1),z). K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). K(((x \ y) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). K(((x \ y) * (y \ x)) \ (x * (((x \ y) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). 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,y / z) * T(z \ y,x) = T(y / z,T(z,x)). T(T(x,L(K(y,z),u,w)),L(K(y,z),u,w)) = x. T(x,L(K(y,z),u,w)) = x * K(L(K(y,z),u,w),x). x * K(L(K(y,z),u,w),x) = T(x,L(K(y,z),u,w)). T(L(K(x,y),z,u) \ w,L(K(x,y),z,u)) = w / L(K(x,y),z,u). K(x,1 / x) * (y * L(x,z,u)) = y * L((x \ 1) \ 1,z,u). T(x * L(K(y,z),u,w),K(z,v5)) = T(x,K(z,v5)) * L(K(y,z),u,w). T(x,K(y,z)) * L(K(u,y),w,v5) = T(x * L(K(u,y),w,v5),K(y,z)). T(L(K(x,y),z,u) \ w,K(y,v5)) = L(K(x,y),z,u) \ T(w,K(y,v5)). L(K(x,y),z,u) \ T(w,K(y,v5)) = T(L(K(x,y),z,u) \ w,K(y,v5)). L(K(x,y),z,u) \ T(w,K(y,v5)) = T(L(K(y,x),z,u) * w,K(y,v5)). L(K(x,y),z,u) * T(w,K(x,v5)) = T(L(K(x,y),z,u) * w,K(x,v5)). T(x,K(y,z)) * L(K(y,u),w,v5) = T(L(K(y,u),w,v5) * T(x,L(K(y,u),w,v5)),K(y,z)). T(L(K(x,y),z,u) * T(w,L(K(x,y),z,u)),K(x,v5)) = T(w,K(x,v5)) * L(K(x,y),z,u). T(x * L(K(y,z),u,w),K(y,v5)) = T(x,K(y,v5)) * L(K(y,z),u,w). T(x,K(y,z)) * L(K(y,u),w,v5) = T(x * L(K(y,u),w,v5),K(y,z)). K(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(x,(y / z) \ 1) = T(x,T((z \ y) \ 1,z)). T(x,T((y \ z) \ 1,y)) = x * K(x,(z / y) \ 1). K(x,T((y \ z) \ 1,y)) != u | K(x,y / z) = u. T(x,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,T(z \ 1,u)) | x = T(y,u \ (z \ u)). T(x,y \ K(y,z)) = T(x,z \ (y \ z)). x != T(y,z \ K(z,u)) | x = T(y,u / (u * z)). T(x,y \ (z \ y)) = T(x,y / (y * z)). T(x,y / (y * z)) = T(x,y \ (z \ y)). K(x,y * (z * K(u,x))) = K(x,y * z). K(x / y,z * (y * (x / y))) = K(x / y,z * x). K(x,y * (z / u)) = K(x,y * (z / T(u,x))). K(x,y * (z / T(u,x))) = K(x,y * (z / u)). T(K(x,y * z),u) = K(x,T(y * (z * K(w,x)),u)). K(x,T(y * (z * K(u,x)),w)) = T(K(x,y * z),w). K(x,y * z) = K(x,y * (K(x,u) * z)). K(x,y * (K(x,z) * u)) = K(x,y * 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(K(x,y) * z,K(y,x) * (z * K(x,y))) = L(z * K(x,y),K(y,x),z * K(x,y)). 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)). x != K(y,R(R(z,K(u,y),w),K(u,y) * w,v5)) | x = K(y,(((z * K(u,y)) * w) * v5) / (w * v5)). K(x,R(y,K(z,x) * u,w)) = K(x,(((y * K(z,x)) * u) * w) / (u * w)). K(x,(((y * K(z,x)) * u) * w) / (u * w)) = K(x,R(y,K(z,x) * u,w)). K(x,R(y * K(z,x),u,w)) = K(x,R(y,K(z,x) * u,w)). K(1 / x,y) \ K(K(1 / x,y),z) = K(1 / T(x,z),y) \ 1. x != K(y,z) \ 1 | x = K(z,y). K(1 / x,y) \ K(K(1 / x,y),z) = K(y,1 / T(x,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). K(1 / T(x,y),z) \ K(K(1 / T(x,y),z),y) = K(1 / x,z) \ 1. K(1 / T(x,y),z) \ K(K(1 / T(x,y),z),y) = K(z,1 / x). x != K(1 / y,z) \ K(K(1 / y,z),u) | x = K(z,1 / T(y,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,1 / T(y,z)) = K(x,1 / ((z * y) / z)). K(x,1 / ((y * z) / y)) = K(x,1 / T(z,y)). K(x,1 / T(y,z / y)) = K(x,1 / (z / (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,R((y * z) / y,u,w)) = T(x,R(T(z,y),u,w)). x != T(y,R((z * u) / z,w,v5)) | x = T(y,R(z / (z / u),w,v5)). T(x,R(T(y,z),u,w)) = T(x,R(z / (z / y),u,w)). T(x,R(y / (y / z),u,w)) = T(x,R(T(z,y),u,w)). T(x,R(y / (y / z),u,w)) = T(x,R(T(z,z \ y),u,w)). T(x,R(T(y,y \ z),u,w)) = T(x,R(z / (z / y),u,w)). x != T(y,R(z / (z / u),w,v5)) | x = T(y,R(T(u,u \ z),w,v5)). T(x,R(T(y,z),u,w)) = T(x,R(T(y,y \ z),u,w)). T(x,R(T(y,y \ z),u,w)) = T(x,R(T(y,z),u,w)). T(x,R((y \ z) \ z,u,w)) = T(x,R(T(y,z),u,w)). 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)). 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 * K(y,T(z,x)) != u | (z * x) / T(T(z,x),y) = u. (x / y) * K(z,K(u,y)) != w | x / T(y,K(z,u)) = w. (x * y) / T(T(x,y),z) = K(z,x) * y. 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(x,K(y,z)) * K(x,1 / z) = K(x,T(1 / z,y)). 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). x != K(y,T(T(z,u),u)) | x = K(y,z). K((x * y) / ((x / z) * y),T(u,x)) = K(R(z,x / z,y),u). K(R(x,y / x,z),u) = K((y * z) / ((y / x) * z),T(u,y)). x != K((y * z) / (u * z),T(w,y)) | 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). T(T(x,R(K(y,z),u,w)),K(z,v5)) = T(x,K(z,v5) * K(R(y,u / y,w),z)). T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,R(K(u,y),w,v5)),K(y,z)). R(K(x,y),z * (K(u,y) * x),w) = K(R(K(u,y) * x,z,w),y). x != K(y,z / (z / u)) | x = K(T(y,z),u). K(T(x,y \ z),y) = K(T(x,z),y). K(x,K(y,z) / y) = K(x,1 / T(y,z)). K(x,K(1 / y,z) / (1 / y)) = T(K(x,y),z). K(x,1 / (K(y,z \ 1) / z)) = T(K(x,z),y). x != K(y,1 / (K(z,u) / w)) | x = K(y,w * K(u,z)). T(K(x,y),z) = K(x,y * K(y \ 1,z)). K(x,y * K(y \ 1,z)) = T(K(x,y),z). K(x,y * K(1 / y,z)) = T(K(x,y),z). x != ((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)). 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),z * u,w) = R(K(x,y),z * (K(v5,x) * u),w). R(K(x,y),z * (K(u,x) * w),v5) = R(K(x,y),z * w,v5). R(K(x,y),x \ y,z) * ((y / T(x,y)) * z) = (y / x) * z. (x / y) * z != u * ((x / T(y,x)) * z) | R(K(y,x),y \ x,z) = u. x * ((y / T(z,y)) * u) != (y / z) * u | R(K(z,y),z \ y,u) = x. R(K(x,y),z * (u * K(w,x)),v5) = R(K(x,y),z * u,v5). x != R(K(y,z),u * (z * K(w,y)),v5) | x = K(y,R(z * K(w,y),u,v5)). R(K(x,y),z * y,u) = K(x,R(y * K(w,x),z,u)). x != R(K(y,z),u * z,w) | x = K(y,R(z,u,w)). K(x,R(y * K(z,x),u,w)) = K(x,R(y,u,w)). K(x,R(y,z,u)) = K(x,R(y * K(x,w),z,u)). K(x,R(y * K(x,z),u,w)) = K(x,R(y,u,w)). 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)). x != K(y,R(z * K(u,y),w,v5)) | x = K(y,R(z,K(u,y) * w,v5)). K(x,R(K(y,x) * z,u,w)) = K(x,R(z,K(y,x) * u,w)). x * K(x,R(y,K(z,x) * u,w)) = T(x,R(K(z,x) * y,u,w)). T(x,R(y,K(z,x) * u,w)) = T(x,R(K(z,x) * y,u,w)). T(x,R(K(y,x) * z,u,w)) = T(x,R(z,K(y,x) * u,w)). T(x,R(T(x,y) \ z,u,w)) = T(x,R(x \ z,K(y,x) * u,w)). T(x,R(x \ y,K(z,x) * u,w)) = T(x,R(T(x,z) \ y,u,w)). T(x,K(y,x * z)) = T(x,K(z,y)). T(T(x,K(y,z)),u) = T(T(x,u),K(z,x * y)). T(T(x,y),K(z,x * u)) = T(T(x,K(u,z)),y). T(T(x,K(y,z)),x * y) = T(x,T(x * y,z)). T(T(x,K(y,z)),y * x) = T(x,T(x * y,z)). K(x,y) * T(z,T(z * x,y)) = T(z,x * z) * K(x,y). K(x,y) * T(z,T(x * z,y)) = T(z,x * z) * K(x,y). T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(T(x,K(y,R(u,w,v5))),K(y,z)). x != T(T(y,K(z,u)),K(z,w)) | x = T(y,K(z,w) * K(u,z)). 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)). 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)). L(K(x,y),T(y,z),u) \ w = T(y,x) * (y \ w). T(L(K(x,y),T(y,z),u),w) * (T(y,x) * (y \ w)) = w * K(L(K(x,y),T(y,z),u),w). 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). x * (T(x,y) \ (K(z,x) / x)) = K(z,x) / T(x,y). x * (K(y,x) / T(x,z)) = T(x,z) \ ((x \ 1) \ K(y,x)). T(x,y) \ ((x \ 1) \ K(z,x)) = x * (K(z,x) / T(x,y)). L((x * (K(y,x) / T(x,z))) \ u,T(x,z) \ ((x \ 1) \ K(y,x)),T(x,z)) = ((x \ 1) \ K(y,x)) \ (T(x,z) * u). K(1 / ((1 / x) / y),K(z,(y * x) / u)) = (T(y * x,K(z,u)) / x) / y. x != K(1 / y,K(z,u)) | x = K(z,K(y,u)). (T(x * y,K(z,u)) / y) / x = K(z,K((1 / y) / x,(x * y) / u)). 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 != T(y,K(z,u)) | x = T(z,K(u,y)) * (z \ y). T(x,L(K(y,z),T(z,u),w)) = T(z,K(y,x)) * (z \ x). x != T(y,L(K(z,u),w,v5)) | x = y * K(L(K(z,u),w,v5),y). T(x,K(y,z)) * (x \ z) = z * K(L(K(y,x),T(x,u),w),z). x * K(L(K(y,z),T(z,u),w),x) = T(z,K(y,x)) * (z \ x). T(K(x,x * T(y,z)),y) = K(x,x * T(y,z)). K(x * y,x) * K(x,K(y,z)) = K(x * y,T(x,z)). K(x,K(x * y,z)) != u | K(x,K(y,z)) = u. K(x,K(y,z \ y)) != u | K(x,K(z,y)) = u. (x \ y) * K(y,T(z,x)) = K(y,z) * (x \ y). K(x,K(y,z)) * (x \ y) = T(x \ y,K(y,z)). T(x,K(y \ z,y)) != u | T(x,K(z,y)) = u. x != T(y,K(z,u)) | x = T(y,K(z,z * u)). T(x,K(y,z / y)) = T(x,K(y,y * z)). T(x,K(y \ z,z)) = T(x,K(z,y)). T(T(T(x,y \ x) / y,K(x,y \ x)),x) = x / y. T(x,K(y,z \ y)) != u | T(x,K(z,y)) = u. T(x,K(y,z)) != u | T(x,K(z,z \ y)) = u. T(x,K(y * x,z)) = T(x,K(y,z)). T(x,K(y,z)) = T(x,K(z,z / y)). T(x,K(y,y / z)) = T(x,K(z,y)). T(K(x,y),(z * y) \ z) != u | K(x,y) = u. T(x,a(y,z,K(x,u))) = x. a(x,y,K(z,u)) * K(w,z) = K(w,z) * a(x,y,K(z,u)). K(x,y) * a(z,u,K(y,w)) = a(z,u,K(y,w)) * K(x,y). K((x \ y) \ z,T(z,u)) = K(y \ (x * z),T(z,u)). K(T(x,y) \ z,x) != u | K(x \ z,x) = u. K((x \ y) \ z,x \ y) != u | K((y / x) \ z,x \ y) = u. x * K(L(K(y,z),T(z,u),w),x) != v5 * (z \ x) | T(z,K(y,x)) = v5. 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). L(T(x,y),z,u) \ L(x,z,u) = K(y * K(L(x,w,v5),v6),L(x,z,u)). K(x * K(L(y,z,u),w),L(y,v5,v6)) = L(T(y,x),v5,v6) \ L(y,v5,v6). x != L(T(y,z),u,w) \ L(y,u,w) | x = K(z,L(y,u,w)). K(x * K(L(y,z,u),w),L(y,v5,v6)) = K(x,L(y,v5,v6)). K(K(L(x,y,z),u) * w,L(x,v5,v6)) = K(w,L(x,v5,v6)). K(K(x,y) * z,L(x,u,w)) = K(z,L(x,u,w)). K(x \ y,L(z,u,w)) = K(x \ T(y,z),L(z,u,w)). K(x \ T(y,z),L(z,u,w)) = K(x \ y,L(z,u,w)). K(x \ (y \ z),L(y,u,w)) = K(x \ (z / y),L(y,u,w)). K(x \ (y / z),L(z,u,w)) = K(x \ (z \ y),L(z,u,w)). (x \ 1) * y != (x \ 1) * K(z,T(u,x)) | T(K(z,u),x \ 1) = y. T(K(x,y),z \ 1) = T(K(x,y),z). K(x,y) * (z \ 1) != (z \ 1) * u | K(x,T(y,z)) = u. L(T(K(x,y),z),z \ 1,z) = z * (K(x,y) * (z \ 1)). T(K(x,y),z \ 1) != u | T(K(x,y),z) = u. K(x \ y,z \ (x \ y)) * (y / x) = T(y / x,T((x * z) \ y,x)). K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(x,K(y,z)) * w). K(x,y) * (K(x,K(y,z)) * u) != w | K(x,T(y,z)) * u = w. K(x,K(y,z)) * u = K(z,w) * (K(x,K(y,z)) * (K(z,w) \ u)). K(x,y) * (K(z,K(u,x)) * (K(x,y) \ w)) = K(z,K(u,x)) * w. K(x,y) * (K(z,K(x,u)) * (K(x,y) \ w)) = K(u,K(z,x)) * w. x != K(y,K(z,u)) * K(y,K(z,w)) | x = K(y,K(z,u) * K(w,z)). K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(u,K(z,w)))) = K(u,K(z,x) * K(w,z)). K(x,y) * (K(z,K(x,u)) * (K(x,y) \ K(z,K(u,w)))) = K(u,K(z,x) * K(w,z)). K(x,K(y,z)) * K(x,K(z,u)) = K(z,K(x,y) * K(u,x)). K(x,K(y,z)) * K(y,K(z,u)) = K(z,K(y,x) * K(u,y)). 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). T(x,K(y,z / y) / (z \ y)) = T(x,T(1 / (z \ y),y)). 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 != T(y * K(z * R(y,u,w),y),T(z,T(y,v5))) | x = R(y,T(z,T(y,v5)),R(y,u,w)). T(x * K(y * R(x,z,u),x),y) = R(x,T(y,T(x,w)),R(x,z,u)). x != T(y * K(z * R(y,u,w),y),z) | x = R(y,z,R(y,u,w)). 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)). x * y != R(T(z,u),w,R(T(z,u),v5,v6)) | x \ R(T(z,u),T(w,z),R(T(z,u),v5,v6)) = y. T(x,y) \ R(T(x,y),T(z,x),R(T(x,y),u,w)) = a(T(x,y),z,R(T(x,y),u,w)). R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(x,y,R(T(x,y),z,u)) \ 1. 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(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. 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)). T(x * K(y,x),K(x,z) * u) = T(x * K(y,x),u). T(x * K((K(x,y) * z) * R(x,u,w),x),z) = R(x,K(x,y) * z,R(x,u,w)). T(x * K(y * 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)). 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)). 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 \ 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 \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(K(x * y,T(x,z)) \ 1,K(x * y,x),y). (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = L(K(x,T(x * y,z)),K(x * y,x),y). x != L(K(y,T(z,u)),K(z,w),v5) | 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)). K(x \ y,z * (x / y)) = K(x \ y,z * (y \ x)). (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (y / x)). x * K(y \ z,x / (z / y)) = (y \ z) * (x / (y \ z)). L(x,T(y,z) \ u,T(y,u)) = L(x,y \ (K(z,y) * u),y). L(x,T(y,z) \ u,T(y,u)) = L(x,T(y,z) \ u,y). x * L(y,T(z,x) \ x,z) = T(z,x) * ((T(z,x) \ x) * y). T(x,y) * ((T(x,y) \ y) * z) = y * L(z,T(x,y) \ y,x). T(x,y) * ((x \ T(y,x)) * z) = y * L(z,T(x,y) \ y,x). T(x,y) * ((x \ T(y,x)) * z) = y * L(z,x \ T(y,x),x). (x * L(y,z \ T(x,z),z)) \ (x * y) = a(T(z,x),T(z,x) \ 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). 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). x != K(y \ z,T(u,y)) | x = K(z / y,u). K(x / (y * K(z,u)),z) = K(x / y,z). K(x / (y * z),y) = K(x / (z * y),y). K(x / (y * z),z) = K(x / (z * y),z). K(x / (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 / (y * z),u) = K(x / ((K(u,w) * y) * z),u). K(x / ((K(y,z) * u) * w),y) = K(x / (u * w),y). K(x / ((K(y,z) * u) * w),z) = K(x / (u * w),z). 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(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). x != R(K(y,z),u * (K(w,z) * v5),v6) | x = R(K(y,z),u * v5,v6). K(R(x,K(y,z) * u,w),z) = R(K(x,z),u * x,w). 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). 1 / (x \ K(R(y,z,u),x)) = T(x,R(y,K(w,x) * z,u)). T(x,R(y,K(z,x) * u,w)) = 1 / (x \ K(R(y,u,w),x)). T(x,R(y,K(z,x) * u,w)) != v5 | T(x,R(y,u,w)) = v5. T(x,R(x \ y,z,u)) = T(x,R(T(x,w) \ y,z,u)). T(x,R(T(x,y) \ z,u,w)) = T(x,R(x \ z,u,w)). T(x,R(y / T(x,z),u,w)) = T(x,R(x \ y,u,w)). K(x,T(y \ (z * x),z)) != u | K(x,(y / z) \ x) = u. T(x * T(K(y,x),z),y) = T(x,K(y,z)). T(x * K(y / z,x),z \ y) = T(x,K(z \ y,y)). x != T(y,K(z \ u,u)) | x = T(y,K(u,z)). T(x * K(y / z,x),z \ y) = T(x,K(y,z)). T(T(x,K(y,z)),y / z) = T(x,z \ y). T(T(x,y / z),K(z,y)) = T(x,z \ y). T(x,y / z) = T(T(x,K(z,y)),z \ y). T(T(x,K(y,z)),y \ z) = T(x,z / y). T(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 \ u)),(((z \ 1) \ 1) \ u) \ y) = T(x,y / (((z \ 1) \ 1) \ u)). 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)). 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,K(y,z \ 1) / z) = K(T(x,y),z \ 1). K(x,K(y,z \ 1) / z) = K(T(x,((z \ 1) / ((1 / (z \ 1)) \ y)) \ 1),z \ 1). K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(x,K(z,y \ 1) / y). x != K(y,K(z,u \ 1) / u) | 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). x != K(T(y,z \ u),z) | x = K(T(y,u),z). K(T(x,y),z \ 1) = K(T(x,z \ y),z \ 1). K(T(x,y \ z),y \ 1) = K(T(x,z),y \ 1). ((x \ y) \ y) * (T(x,y) \ y) = x * (y / T(x,y)). T(((T(x,y) \ y) * ((x \ y) \ y)) / (T(x,y) \ y),x * (y / T(x,y))) = L((x \ y) \ y,T(x,y) \ y,(x \ y) \ y). 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. K(x \ T(y,z),T(T(y,u),w)) = K(x \ y,T(T(y,u),w)). K(T(x,y \ x) / y,z \ x) * (x / y) = T(T(T(x,y \ x) / y,x),x / z). L(K(x,T((y \ z) \ u,w)),u,y) = K(x,T(z \ (y * u),w)). K(x,T((y \ z) \ x,u)) = K(x,T(z \ (y * x),u)). K(x,(y / z) \ x) = K(x,T((z \ y) \ x,z)). K(x,T((y \ z) \ x,y)) = K(x,(z / y) \ x). K(x,T((y \ z) \ x,y)) != u | K(x,(z / y) \ x) = u. K(x,T(y \ x,z)) = K(x,((z * y) / z) \ x). K(x,((y * z) / y) \ x) = K(x,T(z \ x,y)). K(x,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). T(x,y / (y * z)) != u | T(x,(z * y) \ y) = u. K(1 / T(x,y / x),z) = K(1 / (y / (y / x)),z). x / K(1 / y,x) = T(x,1 / T(T(y,z),z)). T(x,1 / T(T(y,z),z)) = x / K(1 / y,x). 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)). T(x,1 / (((y \ z) \ z) \ z)) = T(x,1 / (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 != (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((y \ z) \ z,u,w)) = x * K(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)). R(K(x,K(y,z)) * K(y,K(z,R(x,u,w))),K(K(y,z),v5),v6) * v7 = K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v7). R(K(x,K(y,z) * K(R(z,u,w),y)),K(K(y,x),v5),v6) * v7 = K(z,K(y,x)) * (R(K(K(y,x),z),u,w) * v7). L(K(x,T(y,z \ u)),z \ u,z) != w | u \ (z * (K(x,y) * (z \ u))) = w. T(T(x,1 / y),K(1 / y,z)) = T(x,1 / T(y,z)). T(T(x,1 / y),K(z,1 / y)) = T(x,1 / T(y,z)). T(x,T(1 / y,z)) = T(x,1 / T(y,z)). T(x,1 / T(y,z)) = T(x,T(1 / y,z)). x / (x / T(y,z)) = T(x / (x / y),z). T(1 / (1 / x),y) \ K(z,x) = K(z,x) / T(x,y). L(x,y,z * (K(u,z) / T(z,w))) = L(x,y,K(u,z) * K(w,z)). (x * T(y,T(x,z))) * K(x,z) = K(x,z) * (y * x). T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(x,T(T(y,u),z)). T(T(x * K(y * T(x,z),x),u),w) \ T(T(x,u),w) = K(x,T(T(T(x,v5) * y,w),u)). K(x,T(T(T(x,y) * z,u),w)) = T(T(x * K(z * T(x,v5),x),w),u) \ T(T(x,w),u). x != T(T(y * K(z,y),u),w) \ T(T(y,u),w) | x = K(y,T(T(z,w),u)). K(x,T(T(T(x,y) * z,u),w)) = K(x,T(T(z * T(x,v5),u),w)). K(x,T(T(x * y,z),u)) = K(x,T(T(y * T(x,w),z),u)). K(x,T(T(y * T(x,z),u),w)) = K(x,T(T(x * y,u),w)). T(T(x,1 / (y / z)),K(u,z / y)) = T(x,1 / T(y / z,u)). x != T(y,K(z,u / z)) | x = T(y,K(z,u)). T(x,1 / T(y / z,y)) = T(T(x,1 / (y / z)),K(y,z)). 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)). x != T(y,1 / T(z,u)) | x = T(y,T(1 / z,u)). T(x,1 / (y \ z)) = T(x,T(1 / (z / y),z)). T(x,T(1 / (y / z),y)) = T(x,1 / (z \ y)). T(x,T(1 / y,z)) = T(x,1 / ((y \ z) \ z)). T(x,1 / ((y \ z) \ z)) = T(x,T(1 / y,z)). 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 != 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,x)) = x \ T(y,K(z,x)). x \ T(y,K(z,x)) = T(x \ y,K(z,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). 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,y) * T(x \ K(x,z),x) = (x \ K(x,z)) * T(x,y). x * K(y,(1 / x) * (z * x)) = K(y,L(z,x,x \ 1)) * x. x * K(y,(x \ 1) * (z * x)) = K(y,L(z,x,x \ 1)) * x. x * y != y * K(z,u) | x = K(z,T(u,y)). K(x,L(y,z,z \ 1)) = K(x,T((z \ 1) * (y * z),z)). K(x,T((y \ 1) * (z * y),y)) = K(x,L(z,y,y \ 1)). T(x,y) / (T(x,y) * (x \ K(x,z))) = x * K(z,x). T(x * K(y,x),x \ K(x,y)) \ T(x,z) = T(x,z) * T(x \ K(x,y),(x \ K(x,y)) \ 1). T(x,y) * T(x \ K(x,z),(x \ K(x,z)) \ 1) = T(x * K(z,x),x \ K(x,z)) \ T(x,y). T(x,y) * T(x \ K(x,z),(x \ K(x,z)) \ 1) = ((x \ 1) \ K(z,x)) \ T(x,y). T(x,y) * T(x \ K(x,z),(x \ 1) \ K(z,x)) = ((x \ 1) \ K(z,x)) \ T(x,y). T(x,y) * T(x \ K(x,z),T(x,z)) = ((x \ 1) \ K(z,x)) \ T(x,y). T(x,y) * T(x \ K(x,z),x) = ((x \ 1) \ K(z,x)) \ T(x,y). ((x \ 1) \ K(y,x)) \ T(x,z) = T(x,z) * T(x \ K(x,y),x). x != T(y,z) * T(y \ K(y,u),y) | x = (y \ K(y,u)) * T(y,z). ((x \ 1) \ K(y,x)) \ T(x,z) = (x \ K(x,y)) * T(x,z). K((x \ y) \ 1,((z \ K(z,u)) * T(z,w)) \ 1) = K(y \ x,T(z,w) \ ((z \ 1) \ K(u,z))). x != (y * K(z,y)) * K(y,u) | x = T(y,u) * K(z,y). T(x * K(y,x),z) = T(x,T(z,y)) * K(y,x). T(x,T(y,z)) * K(z,x) = T(x * K(z,x),y). x != (y * K(z,y)) * K(y,u) | x = K(z,y) * T(y,u). T(x * K(y,x),z) = K(y,x) * T(x,T(z,y)). K(x,y) * T(y,T(z,x)) = T(y * K(x,y),z). K(x,y) * T(x * K(y,x),z) = T(x,T(z,y)). T(x,y) * T(y,T(z,x)) = x * T(y * K(x,y),z). K(x,y) * T(x * K(y,x),z \ 1) = T(x,T(L(z \ 1,z,u),y)). T(x,T(L(y \ 1,y,z),u)) = K(x,u) * T(x * K(u,x),y \ 1). x != K(y,z) * T(y * K(z,y),u) | x = T(y,T(u,z)). T(x,T(L(y \ 1,y,z),u)) = T(x,T(y \ 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 \ 1,u)) | x = T(y,(z * u) \ u). T(x,T(y \ z,u)) = T(x,((z \ y) * u) \ u). T(x,((y \ z) * u) \ u) = T(x,T(z \ y,u)). T(x,y \ T(z,z \ y)) = T(x,T(y \ z,z)). x != K((1 / (1 / y)) * z,1 / y) | x = K(z * y,1 / y). K(x * y,1 / x) = K(y * x,1 / x). K(x * y,1 / y) = K(y * x,1 / y). K((x \ y) * x,1 / x) = K(y,1 / x). K(K(x,1 / y) * z,y) = K(z,y). K(K(x,y) * z,y \ 1) = K(z,y \ 1). K(K(x,y \ 1) * z,y) = K(z,y). K(T(x,1 / y) / z,y) = K(x / z,y). K(x \ T(y,z \ 1),z) = K(x \ y,z). K(K(x,x \ y) * z,x / y) = K(z,x / y). K(x * K(y,z \ 1),z) = K(x,z). K(x * K(y,z),z \ 1) = K(x,z \ 1). K(x * K(y,z \ u),u \ z) = K(x,u \ z). K(x * (y / z),y \ z) = K(x * (z \ y),y \ z). ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (y / x),y \ x). K(x,T(T(y,z),z * x)) = K(T(z * x,x) / z,y). K(T(x * y,y) / x,z) = K(y,T(T(z,x),x * y)). K(x,(y * K(x,z)) * u) = K(x,y * u). K(x,(y / T(z,x)) * u) = K(x,(y / z) * u). K(x,K(y,z)) * K(y / x,z) = K(x \ y,z). K(x,K(y,z / (y / x))) * K(y / x,(y / x) \ z) = K(x \ y,z / (y / x)). K(x,y / z) = K(x,((y \ z) * y) \ y). K(x,((y \ z) * y) \ y) = K(x,y / z). K(x,T(y \ 1,z)) != u | K(x,z / (z * y)) = u. K(x,((y \ z) * y) \ y) != u | K(x,y / z) = u. K(x,y / (y * z)) = K(x,y \ (z \ y)). K(x,T(1 / y,z)) != u | K(x,z / (z * y)) = u. 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. K(x,y \ T(z,z \ y)) = K(x,z / 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 \ z)) | x = K(y,z / (z * u)). K(x,(y / z) / y) = K(x,y / (y * z)). K(x,K(y,y \ z)) != u | K(x,K(y,z)) = u. K(x,T(y \ (K(x,z) * u),w)) = K(x,T(y \ u,w)). K(x,T(y \ T(x,z),u)) = K(x,T(y \ x,u)). K(x,T(x \ y,z)) = K(x,T(T(x,u) \ y,z)). K(x,T(T(x,y) \ z,u)) = K(x,T(x \ z,u)). K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ T(x,u),w)). x != K(y,T(z \ T(y,u),w)) | x = K(y,T(z \ T(T(y,v5),u),w)). K(x,T(y \ x,z)) = K(x,T(y \ T(T(x,u),w),z)). K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ x,w)). x != T(y,T(y \ z,z)) | x = T(y,y \ z). T(x,x \ T(y,y \ x)) = T(x,x \ y). K(T(x \ y,x) \ z,T(z,T(y \ x,x))) = K((T(x,x \ y) \ y) \ z,z). K(T(x \ y,x) \ z,T(z,T(y \ x,x))) = K(T(x \ y,x) \ z,z). K(T(x \ y,x) \ z,T(z,x / y)) = K(T(x \ y,x) \ z,z). x != K(T(y,z) \ u,u) | x = K(y \ u,T(u,z)). K(T(x \ y,x) \ z,T(z,x / y)) = K((x \ y) \ z,T(z,x)). T(x,y) * K(z,T(T(x,y),u)) = T(x * K(z,T(x,u)),y). T(x,y) \ T(x * K(z,T(x,u)),y) = K(z,T(T(x,y),u)). K(T(x,y) \ T(z,y),T(z,u)) = K(x \ z,T(T(z,u),y)). K(T(T(x,y) \ (y \ z),u) \ 1,T(x,w)) = K((x * T(x \ (z / y),u)) \ x,T(T(x,w),y)). K((x * T(x \ (y / z),u)) \ x,T(T(x,w),z)) = K(T(T(x,z) \ (z \ y),u) \ 1,T(x,w)). x != K(y \ T(z,u),T(z,w)) | x = K(y \ z,T(z,w)). K(x \ y,T(T(y,z),u)) = K(T(x,u) \ y,T(y,z)). K(T(x,y) \ z,T(z,u)) = K(x \ z,T(T(z,u),y)). x != K(T(y \ z,y) \ u,T(u,y / z)) | x = K((y \ z) \ u,T(u,y)). K((x \ y) \ z,T(T(z,x / y),x)) = K((x \ y) \ z,T(z,x)). K((x \ y) \ z,T(T(z,x),x / y)) = K((x \ y) \ z,T(z,x)). K(T(T(x,y) \ (y \ z),u) \ 1,T(x,y)) = K((x * T(x \ (z / y),u)) \ x,x). x != K((y * z) \ y,u) | x = K(z \ 1,u). K(T(T(x,y) \ (y \ z),u) \ 1,T(x,y)) = K(T(x \ (z / y),u) \ 1,x). x != K(T(y,z) \ 1,u) | x = K(y \ 1,T(u,z)). K(T(T(x,y) \ (y \ z),u) \ 1,T(x,y)) = K((x \ (z / y)) \ 1,T(x,u)). K(T(T(x,y) \ (y \ z),u) \ 1,T(x,y)) = K((z / y) \ x,T(x,u)). K((T(x,y) \ (y \ z)) \ 1,T(T(x,y),u)) = K((z / y) \ x,T(x,u)). K((x \ y) \ T(z,x),T(T(z,x),u)) = K((y / x) \ z,T(z,u)). x != K(y \ T(z,u),T(T(z,w),v5)) | x = K(y \ z,T(T(z,w),v5)). K((x / y) \ z,T(z,u)) = K((y \ x) \ z,T(T(z,y),u)). K((x \ y) \ z,T(T(z,x),u)) = K((y / x) \ z,T(z,u)). x != K((y \ z) \ u,T(T(u,y),y / z)) | x = K((y \ z) \ u,T(u,y)). K((x / y) \ z,T(z,y / x)) = K((y \ x) \ z,T(z,y)). x != K((y / z) \ u,T(u,z / y)) | x = K((y / z) \ u,u). 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 * K(y,x),z / (u * K(y,x))) = K(x,T(z / u,y)). K(x,T(y / z,u)) = K(x,T(y / (z * K(u,x)),u)). K(x,T(y / (z * K(u,x)),u)) = K(x,T(y / z,u)). K(x,T(y * (z * K(u,x)),w)) = K(x,T(y * z,w)). K(x,T(y,z)) = K(x,T(y * K(x,u),z)). K(x,T(y * K(x,z),u)) = K(x,T(y,u)). K(x,T(y * (z / u),w)) = K(x,T(y * (z / T(u,x)),w)). K(x,T(y * (z / T(u,x)),w)) = K(x,T(y * (z / u),w)). K(x,T(y / x,z)) = K(x,T(y / T(x,u),z)). K(x,T(y / T(x,z),u)) = K(x,T(y / x,u)). K(x \ ((y \ z) * y),L(y,u,w)) = K(x \ z,L(y,u,w)). K(x \ (y * z),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). K(x * K(y,x),T(z / x,u)) = K(x * K(y,x),T(z / (x * K(y,x)),u)). K(x * K(y,x),T(z / (x * K(y,x)),u)) = K(x * K(y,x),T(z / x,u)). K(T(x / (1 / (1 / y)),1 / z) / (1 / y),z) = K((x / y) / (y \ 1),z). K((x \ y) / (x \ 1),1 / x) = K((y / x) / (x \ 1),1 / x). K((x / y) / (y \ 1),1 / y) = K((y \ x) / (y \ 1),1 / y). x != K(y / (z \ 1),u) | 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 != 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)) = (x / ((x \ y) \ 1)) / x. K(x / y,z \ (x / y)) = K(y \ x,(z * y) \ x). x != K(y / z,u \ (y / z)) | x = K(y / z,u \ (z \ y)). K(x \ y,(z * x) \ y) = K(y / x,z \ (x \ y)). K(x / y,z \ (y \ x)) = K(y \ x,(z * y) \ x). K(x,K(y,z)) * u != w | K(y,x) * (K(x,T(y,z)) * u) = w. x != T(y,K(z,z \ u)) | x = T(y,K(z,u)). ((x \ y) \ z) * K(x \ y,x) = T((y / x) \ z,K(x,y)). K((x * (K(y,x) / T(x,z))) \ 1,((u \ K(u,w)) * T(u,v5)) \ 1) = K(((x \ 1) \ K(y,x)) \ T(x,z),T(u,v5) \ ((u \ 1) \ K(w,u))). K(x,K(y,z \ x)) * K(x,z / x) = K(x,T(1 / (z \ x),y)). K(x,K(y,z)) * K(y,x / y) = K(y,T(1 / (x \ y),z)). (x \ y) * K(x,T(x \ y,z)) = (y / x) * K(x,K(z,x \ y)). (x / y) * K(y,K(z,y \ x)) = (y \ x) * K(y,T(y \ x,z)). (x / y) * K(y,K(x,z)) = (y \ x) * K(y,T(y \ x,z)). (x \ y) * K(x,T(x \ y,z)) = (y / x) * K(x,K(y,z)). T(x,y) * ((z / x) * K(x,K(z,y))) = T(T(x,y),x \ z) * (x \ z). T(K(x,(y \ z) \ 1),u) = L(T(K(x,z \ y),u),z \ y,w). L(T(K(x,y \ z),u),y \ z,w) = T(K(x,(z \ y) \ 1),u). L(T(K(x,y \ z),u),y \ z,w) = K(x,T((z \ y) \ 1,u)). L(K(x,T(y \ z,u)),y \ z,w) = 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)). K(x,T(y \ z,z)) != u | K(x,z / y) = u. K(x,L(T(y \ z,u),y,u / z)) != w | K(x,u / ((u / z) * y)) = w. x != y * T(K(y,z),u) | x = T(y,T(z,u)). T(x,T(y,z / x)) = T(x,T(y,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 \ (z * x)) = T(x,(y / x) \ z). T(x,(y / x) \ z) = T(x,y \ (z * x)). L(T(x,y \ (z * x)),u,w) \ L(x,u,w) = K((y / x) \ z,L(x,u,w)). K(x \ (y * z),L(z,u,w)) = K((x / z) \ y,L(z,u,w)). K((x / y) \ z,L(y,u,w)) = K(x \ (z * y),L(y,u,w)). 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). T(K(x,y) \ T(K(x,T(y,z)) * u,w),K(x,y)) = K(x,y) \ T((K(x,K(y,z)) * u) * K(x,y),w). K(x,y) \ T((K(x,K(y,z)) * u) * K(x,y),w) = T(K(x,y) \ T(K(x,T(y,z)) * u,w),K(x,y)). K(x,y) * (K(y,K(x,z)) * u) = K(x,T(y,z)) * u. 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))). T(x,y * K(x,z)) != u * w | u \ T(x,y) = w. T(x,T(y,x)) != z * u | z \ T(x,y) = u. ((x * (K(y,z) * u)) / x) / ((x * (u / K(z,y))) / x) = K(K(y,z) * u,T((K(y,z) * u) \ u,x)). K(K(x,y) * z,T((K(x,y) * z) \ z,u)) = ((u * (K(x,y) * z)) / u) / ((u * (z / K(y,x))) / u). K(K(x,y) * z,T((K(x,y) * z) \ z,u)) = ((u * (K(x,y) * z)) / u) / ((u * (z * K(x,y))) / u). K(K(x,y) * z,T(K(y,T(x,z)),u)) = ((u * (K(x,y) * z)) / u) / ((u * (z * K(x,y))) / u). ((x * (K(y,z) * u)) / x) / ((x * (u * K(y,z))) / x) = K(K(y,z) * u,T(K(z,T(y,u)),x)). ((x * (K(y,z) * u)) / x) / ((x * (u * K(y,z))) / x) = K(K(y,z) * u,K(z,T(T(y,u),x))). ((x * (K(y,z) * u)) / x) / ((x * (u * K(y,z))) / x) = K(z,K(K(y,z) * u,T(T(y,u),x))). T(K(x,y) * (z / T(x,u)),T(x,u)) = T(x,u) \ (K(x,y) * z). K(K(x,y),z) * (K(x,y) * T(u * K(y,x),w)) = T(K(y,x) * u,w) * T(K(x,y),T(z,T(K(y,x) * u,w))). T(K(x,y) * z,u) * T(K(y,x),T(w,T(K(x,y) * z,u))) = K(K(y,x),w) * (K(y,x) * T(z * K(x,y),u)). T(x,T(y,z)) * K(u,y) = T(x * K(u,y),T(y,z)). T(K(x,y) * z,T(x,u)) = K(x,y) * T(z,T(x,u)). K(x,y) * T(z,T(x,u)) = T(K(x,y) * z,T(x,u)). x != T(K(y,z) * (u / T(y,w)),T(y,w)) | x = T(y,w) \ (K(y,z) * u). K(x,y) * T(z / T(x,u),T(x,u)) = T(x,u) \ (K(x,y) * z). K(x,y) * (T(x,z) \ u) = T(x,z) \ (K(x,y) * u). T(x,y) \ (K(x,z) * u) = K(x,z) * (T(x,y) \ u). K(x \ y,T(z,y)) != u | K(y / x,z) = u. K(x \ y,T(z,y / x)) != u | K(x \ y,z) = u. K(x,T(T(y,z),z)) != u | K(x,y) = u. T(K(x,y),1 / x) != z | K(x,y) = z. T(K(x,y),L(x,z,u)) != w | K(x,y) = 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 \ y) \ y) \ y,z) != u | K(y / x,z) = u. K(x \ (y * z),T(z,y)) != u | K((y * z) / x,z) = u. K(x \ (K(y,z) * u),T(y,u)) != w | K((K(y,z) * u) / x,y) = w. K(T(x \ y,x),z) != u | K(y / x,z) = u. K(x,T(y \ z,y)) != u | K(x,z / y) = u. K(x \ y,T(z,x)) != u | K(y / x,z) = u. K((x * y) / x,T(z,x)) != u | K(y,z) = u. K(x \ (x * y),z) != u | K(y,z) = u. K((x * y) / x,z) != u | K(y,T(z,x)) = u. K((x / y) \ x,z) != u | K(y,z) = u. K(L(x,y,z) \ u,x) != w | K(u / L(x,y,z),x) = w. K((x * (y \ 1)) \ z,x / y) != u | K(z / (x * (y \ 1)),x / y) = u. K(L(T(x,y),z,u),T(w,y)) != v5 | K(L(x,z,u),w) = v5. K(T(x,y),R(T(z,y),u,w)) != v5 | K(x,R(z,u,w)) = v5. K(x,L(T(y \ z,u * y),y,u)) != w | K(x,(u * z) / (u * y)) = w. K(x / y,y \ z) != u | K(y \ x,z / y) = u. 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. K(x,(K(x,y) * z) / u) = K(x,z / u). K(x,y / z) = K(x,(y * K(u,x)) / z). K(x,(y * K(z,x)) / u) = K(x,y / u). K(x,(y * T(x,z)) / u) = K(x,(y * x) / u). K(x,(y * T(x,z)) / u) = K(x,y / (x \ u)). K(x,y / z) = K(x,(x \ y) / (x \ z)). K(x,(x \ y) / (x \ z)) = K(x,y / z). K(x,(x \ y) / (z / x)) = K(x,y / z). K(x,(x \ y) / z) = K(x,y / (z * x)). K(x,K(y,1 / (z / u))) = K(x,K(y,(z * K(w,y)) / u)). K(x,K(y,(z * K(u,y)) / w)) = K(x,K(y,1 / (z / w))). x != K(y,K(z,1 / u)) | x = K(y,K(z,u)). K(x,K(y,(z * K(u,y)) / w)) = K(x,K(y,z / w)). K(x,K(y,K(z,y) / u)) = K(x,K(y,1 / u)). (K(x,y) / z) * K(u,K(y,1 / z)) = T(K(x,y) / z,K(u,y)). 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(L((x \ y) / z,z,x),u) != w | K((x * z) \ y,T(u,z)) = w. K(x * K(y,x),z) != u | K(x,T(z,y)) = u. K(K(x,y) * y,z) != u | K(y,T(z,x)) = u. K(L(x * K(y,x),z,u),w) != v5 | K(L(x,z,u),T(w,y)) = v5. K(x * K(y,x),T(z / (x * K(y,x)),u)) != w | K(x,T(T(z / x,u),y)) = w. K(x / y,L(y,z,u)) != w | K(y \ x,L(y,z,u)) = w. K(x \ T(x * y,z),T(u,x)) != w | K(x \ T(y * x,z),u) = w. K(x \ 1,T(y,z)) != u | K(z \ (x \ z),y) = u. K(R(x * K(y,x),y,z),T(u,y * z)) != w | K((y * z) \ ((y * x) * z),u) = w. K((x * (y / z)) \ (x * y),u) != w | K(L(z,y / z,x),u) = w. K(x / (x / y),z) != u | K(y,T(z,x)) = u. T(K(x,y) * z,u) * T(K(y,x),T(w,T(K(x,y) * z,u))) = K(y,K(x,w)) * (K(y,x) * T(z * K(x,y),u)). x != K(y,K(z,u)) * (K(y,z) * w) | 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). 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). 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 \ 1) = T(x,y \ K(x,z)). T(x,y \ K(x,z)) = T(x,y \ 1). T(x,y \ x) = T(x,y \ T(x,z)). T(x,y \ T(x,z)) = T(x,y \ x). T(x,y \ ((z / x) \ u)) = T(x,y \ ((x \ z) \ u)). (x \ K(x,y)) * (T(x,x \ 1) * z) = (K(x,y) / x) * (x * z). x != T(y,z \ T(y,u)) | x = T(y,T(y,u) / z). T(x,y \ x) = T(x,T(x,z) / y). T(x,T(x,y) / z) = T(x,z \ x). (((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z)) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z). (((x \ 1) \ K(y,x)) \ (T(x,x \ 1) * z)) * K((K(x,y) / x) * (x * z),T(x,x \ 1) * z) = T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z). L(T(x,y \ ((x \ z) \ u)),w,v5) \ L(x,w,v5) = K(y \ ((z / x) \ u),L(x,w,v5)). K(x \ ((y / z) \ u),L(z,w,v5)) != v6 | K(x \ ((z \ y) \ u),L(z,w,v5)) = v6. K(x,K(y,z)) * K(y,x / z) = K(y,z \ x). 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). T(T(x,y \ x) / y,T(x,y \ x)) = x / y. x != T(y / z,y) | x = L(z \ y,z,z \ y). x / y = L(y \ T(x,y \ x),y,y \ T(x,y \ x)). L(x \ T(y,x \ y),x,x \ T(y,x \ y)) = y / x. x != K(y \ z,T(T(u,y),w)) | x = K(z / y,T(u,w)). K(x \ y,T(z,x)) = K(y / x,T(z,y \ x)). K(x / y,T(z,x \ y)) = K(y \ x,T(z,y)). K(x / y,T(z,x \ y)) = K(x / y,z). L(K((x / y) \ x,z),x \ (x / (1 / (1 / y))),u) = K(1 / (x \ (x / y)),z). L(K(x,y),z \ (z / (1 / (1 / x))),u) = K(1 / (z \ (z / x)),y). L(K(x,y),1 / (1 / (z \ (z / x))),u) = K(1 / (z \ (z / x)),y). x != L(y,1 / (1 / z),u) | x = L(y,z,u). K(1 / (x \ (x / y)),z) = L(K(y,z),x \ (x / y),u). L(K(x,y),z \ (z / x),u) = K(1 / (z \ (z / x)),y). x != K(1 / (y \ z),u) | x = K(z \ y,u). L(K(x,y),z \ (z / x),u) = K((z / x) \ z,y). L(K(x,y),z \ (z / x),u) = K(x,y). T(K(x,y),z \ (z / x)) = (z / x) \ (z * (K(x,y) * (z \ (z / x)))). (x / y) \ (x * (K(y,z) * (x \ (x / y)))) = T(K(y,z),x \ (x / y)). x != T(y,z \ (z / u)) | x = T(y,1 / u). (x / y) \ (x * (K(y,z) * (x \ (x / y)))) = T(K(y,z),1 / y). (x / y) \ (x * (K(y,z) * (x \ (x / y)))) != u | K(y,z) = u. x \ T(K(y,z) * x,u) = T(x * K(y,z),u) / x. T(x * K(y,z),u) / x = x \ T(K(y,z) * x,u). ((x * (1 / y)) * K(z,L(y,y \ 1,x))) \ x = T((x * (1 / y)) \ x,z). x * y != ((y \ z) * y) * K(u,y) | x = y \ (z * K(u,y)). (x \ y) * K(z,x) = x \ (y * K(z,x)). x \ (y * K(z,x)) = (x \ y) * K(z,x). L(T(x,K(y,x)),K(y,x),z) = x. L(x,K(y,x),z) = x. T(x,y) = L(T(x,y),K(z,x),u). L(T(x,y),K(z,x),u) = T(x,y). (x * K(y,z)) * L(z,u,w) = x * (K(y,z) * L(z,u,w)). (x * K(y,z)) * R(z,u,w) = x * (K(y,z) * R(z,u,w)). L(T(x,y),K(z,T(x,u)),w) = T(x,y). x != T(y,z) | x = L(T(y,z),u,K(w,y)). L(T(x,y),K(z,T(x,u)),w) = L(T(x,y),v5,K(v6,x)). R(x,K(y,z),L(z,u,w)) = x. R(x,K(y,z),L(T(z,u),w,v5)) = x. x \ (((y \ x) * y) * L(T(y,z),u,w)) = K(y \ x,y) * L(T(y,z),u,w). x \ ((L(y,z,u) * (y \ x)) * y) = K(y \ x,y) * L(T(y,y \ x),z,u). K(x \ y,x) * L(T(x,x \ y),z,u) = y \ ((L(x,z,u) * (x \ y)) * x). 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). 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 != y \ (z * K(u,y)) | x = T(z / T(y,u),y). (x \ y) * K(z,x) = T(y / T(x,z),x). T(x / T(y,z),y) * y = (y \ x) * (y * K(z,y)). R(x,K(y,z),R(z,u,w)) = x. (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). ((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 / R(y * K(z,y),u,y) = (x / R(y,u,y)) * K(y,z). x != R(y,z,y) * K(u,y) | x = R(y * K(u,y),z,y). (R(x \ y,z,x \ y) / (x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R(y / x,z,x \ y). a(x \ y,z,x \ y) * (y / x) = R(y / x,z,x \ y). K((x / y) * z,y / x) = K((y \ x) * z,y / 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 \ u) \ y)) != w | K(x,T(u \ z,y)) = w. K(x \ y,T(x,z)) != u | K(T(x,w) \ y,T(x,z)) = u. K(((x \ y) \ 1) \ z,T(y \ x,u)) != w | K(T((x \ y) \ 1,v5) \ z,T((x \ y) \ 1,u)) = w. K(x * y,T(x,z)) = K(T(x,u) * y,T(x,z)). K(T(x,y) * z,T(x,u)) = K(x * z,T(x,u)). K(x,y \ z) * K(z / y,x) = K(x,K(y,z)). K(x,y / z) * K(x,K(z,y)) = K(x,z \ y). K(x,K(y * z,(y * u) * z)) * K(x,R(u * K(y,u),y,z)) = K(x,(y * z) \ ((y * u) * z)). K(x,K(y,z)) * K(x,y / z) = K(x,z \ y). K((x \ y) \ z,y / x) != u | K((y / x) \ z,y / x) = u. K(x,K(y,z / y)) != u | K(x,K(y,z)) = u. K(x,K(a(y,z,u),y * (z * u))) != w | K(x,K(a(y,z,u),(y * z) * u)) = w. L(T(x,y),z,K(u,x)) != w | w = T(x,y). L(T(x,y),z,K(u,x)) != w | T(x,y) = w. T(x,K(y,x) * z) != u | T(x,z) = u. T(x \ y,(x \ y) \ z) != u | T(x \ y,(y / x) \ z) = u. T(x,y) * T(y,T(z,x)) = K(y,z) * (x * ((x * y) / x)). K(x,y) * (z * ((z * x) / z)) = T(z,x) * T(x,T(y,z)). x != T(y,z) * T(z,T(u,y)) | x = y * T(z * K(y,z),u). K(x,y) * (z * ((z * x) / z)) = z * T(x * K(z,x),y). K(x,T(y * K(z,y),u)) = K(x,T(T(y,z),u)). K(x,T(y / z,u)) = K(x,T(T(z \ y,z),u)). K(x,T(T(y \ z,y),u)) = K(x,T(z / y,u)). x != K(y,T(z,u * z)) | x = K(y,T(z,u)). K((x * y) / (x * z),z) = K(L(z \ y,z,x),T(z,x)). K(L(x \ y,x,z),T(x,z)) = K((z * y) / (z * x),x). (x \ y) * K(y,z / x) = K(y,x \ z) * (x \ y). K(x,y \ z) * (y \ x) = (y \ x) * K(x,z / y). K(x * (y \ ((z \ 1) \ y)),z) = K(x * (((z \ 1) \ y) / y),z). K(x * (((y \ 1) \ z) / z),y) = K(x * (z \ ((y \ 1) \ z)),y). K(x * (y / (T(z,z \ 1) * y)),z \ 1) = K(x * ((T(z,z \ 1) * y) \ (((z \ 1) \ 1) \ (T(z,z \ 1) * y))),z \ 1). K(x * ((T(y,y \ 1) * z) \ (((y \ 1) \ 1) \ (T(y,y \ 1) * z))),y \ 1) = K(x * (z / (T(y,y \ 1) * z)),y \ 1). K(x * ((T(y,y \ 1) * z) \ (((y \ 1) \ 1) \ (T(y,y \ 1) * z))),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). K(x * ((T(y,y \ 1) * z) \ z),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). K(x * T((y * z) \ z,y),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). K(x * ((y * z) \ z),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). K(x * R(y \ 1,y,z),y \ 1) = K(x * ((y * z) \ z),y \ 1). K(x \ (y / (z * y)),z \ 1) = K(x \ ((z * y) \ y),z \ 1). x != K((y \ 1) \ (z / (u * z)),u \ 1) | x = K(y * (z / (u * z)),u \ 1). K((x \ 1) \ ((y * z) \ z),y \ 1) = K(x * (z / (y * z)),y \ 1). 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. K(x,y * (T(z,x) \ u)) = K(x,y * (z \ u)). T(x,K(y,z / T(y,u))) = T(x,K(y,y * z)). K(x,T((y / z) \ 1,u)) != w | K(x,T(z / y,u)) = w. T(x,K(y,y * z)) = y * T(y \ x,K(y,z)). x * T(x \ y,K(x,z)) = T(y,K(x,x * z)). x != K((y \ z) \ u,T(u,y)) | x = K((z / y) \ u,u). K(x \ (y * z),T(z,y)) = K((x / y) \ z,z). x != (y * (z * K(u,w))) \ (y * z) | x = L(K(w,u),z,y). K(x,y) = L(K(x,y),z,y \ 1). L(K(x,y),z,y \ 1) = K(x,y). x != L(K(y,z),T(z,u) * w,v5) | x = K(y,L(z,w,v5)). K(x,y) = K(x,L(y,z,y \ 1)). K(x,L(y,z,y \ 1)) = K(x,y). x != L(K(y,z),T(y,u) * w,v5) | x = K(L(y,w,v5),z). K(x,y) = K(L(x,z,y \ 1),y). K(L(x,y,z \ 1),z) = K(x,z). 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). x != K(L((y \ z) / u,u,y),w) | x = K((y * u) \ z,T(w,u)). K(((x \ 1) \ y) / z,x) = K(((x \ 1) * z) \ y,T(x,z)). K(((x \ 1) * y) \ z,T(x,y)) = K(((x \ 1) \ z) / y,x). T(x / y,T((y * z) \ x,y)) != u | T(x / y,T(z \ (y \ x),y)) = u. R(K(x,y),z * x,u) != w | K(R(x,z,u),y) = w. K(x,R(y,x,z)) != u | K(R(x,y,z),y) = u. L(x * K(y,z),K(z,y),x * K(y,z)) != u | T(K(y,z) * x,x) = u. K(x,K(y \ z,T(y,u))) != w | K(y,K(x,T(z,u))) = w. K(x,T((y \ 1) * ((z \ y) * z),u)) != w | K(z,K(x,T(y,u))) = w. L(K(x,y),T(x,z) * u,w) != v5 | K(L(x,u,w),y) = v5. ((x / T(y,z)) * K(y,z)) \ (x / T(y,u)) != w | K(u,y) = w. L(x,y \ 1,K(z,y)) = x. x = L(x,y,K(z,y \ 1)). L(x,y,K(z,y \ 1)) = x. x = (K(y,z \ 1) * z) \ (K(y,z \ 1) * (z * x)). (K(x,y \ 1) * y) \ (K(x,y \ 1) * (y * z)) = z. (x * K(y,x \ 1)) \ (K(y,x \ 1) * (x * z)) = z. (x * K(y,x \ 1)) \ (x * (K(y,x \ 1) * z)) = z. L(x,K(y,z \ 1),z) = x. L(x,K(y,z),z \ 1) = x. x != L(K(y,z) * (u \ w),K(z,y),u) | x = (u * K(z,y)) \ w. K(x,y) * ((x \ 1) \ z) = ((x \ 1) * K(y,x)) \ z. ((x \ 1) * K(y,x)) \ z = K(x,y) * ((x \ 1) \ z). (T(x,y) \ 1) \ z = K(x,y) * ((x \ 1) \ z). K(x,y) * ((x \ 1) \ z) = (T(x,y) \ 1) \ z. (x \ K(y,x)) \ z = K(x,y) * ((x \ 1) \ z). K(x,y) * ((x \ 1) \ z) = (x \ K(y,x)) \ z. (x \ ((y \ 1) \ x)) * x = (T(y,x) \ 1) \ x. (x \ (y \ x)) * x = (T(1 / y,x) \ 1) \ x. (T(1 / x,y) \ 1) \ y = (y \ (x \ y)) * y. x / ((x \ (y \ x)) * x) = T(1 / y,x) \ 1. x * T(x \ ((y \ 1) \ x),z) = (y \ K(z,y)) \ x. (x \ K(y,x)) \ z = z * T(z \ ((x \ 1) \ z),y). ((1 / (1 / x)) \ K(y,x)) \ z = z * T(z \ (((1 / (1 / x)) \ 1) \ z),y). (1 / T(x,y)) \ z = z * T(z \ (((1 / (1 / x)) \ 1) \ z),y). x * T(x \ (((1 / (1 / y)) \ 1) \ x),z) = (1 / T(y,z)) \ x. x * T(x \ ((1 / y) \ x),z) = (1 / T(y,z)) \ x. (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = ((K(y,x) * (K(x,z) * u)) \ u) \ 1. (x * (K(y,z) * K(u,y))) / x = T(K(y,z) * K(u,y),x). T(x * K(y,z),K(z,u)) / (K(u,z) * x) = T(K(z,u) * K(y,z),K(u,z) * x). (x * (K(y,z) * K(u,y))) / T((K(z,y) * (K(y,u) * x)) * (K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). (x * (K(y,z) * K(u,y))) / T(T((K(y,u) * x) * K(u,y),K(y,z)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). (x * (K(y,z) * K(u,y))) / T(T(T(x,K(y,u)),K(y,z)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). (x * (K(y,z) * K(u,y))) / T(T(x,K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). T(T(x,K(y,z) * K(u,y)),K(y,u) * K(z,y)) = x. (x * (K(y,z) * K(u,y))) / x = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). T(K(x,y) * K(z,x),(K(x,y) * K(z,x)) \ u) = (u * (K(x,y) * K(z,x))) / u. x != (y * (K(z,u) * K(w,z))) / y | x = T(K(z,u) * K(w,z),y). T(K(x,y) * K(z,x),(K(x,y) * K(z,x)) \ u) = T(K(x,y) * K(z,x),u). T(K(x,y) * K(z,x),K(y,x) * (K(x,z) * u)) = T(K(x,y) * K(z,x),u). (K(x,y) * z) * (K(u,y) * K(y,x)) = T(z * K(u,y),K(x,y)). x * y != (K(z,u) * w) * (K(v5,u) * K(u,z)) | T(w * K(v5,u),K(z,u)) / y = x. T(x * K(y,z),K(u,z)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(K(u,z) * x,K(y,z) * K(z,u)). T(x * K(y,z),K(z,u)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(K(u,z) * x,K(y,z) * K(z,u)). x != a(y,z,K(u,w)) * v5 | x = a(y,z,K(w,u)) \ v5. K(x,y) * a(z,u,K(y,w)) = a(z,u,K(w,y)) \ K(x,y). a(x,y,K(z,u)) \ K(w,u) = K(w,u) * a(x,y,K(u,z)). a(x,y,K(z,u)) \ K(w,u) != K(w,u) * v5 | a(x,y,K(u,z)) = v5. (T(x * K(y \ x,z),x) / x) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). (K(x,y) * z) \ (z * K(x,u)) = K(x,u) * K(y,T(x,z)). (K(x,y) * z) \ (K(x,u) * z) = K(x,T(u,z)) * K(y,T(x,z)). K(x,K(y,R(z,u,w))) * (K(z,y) \ R(K(z,T(y,x)),u,w)) = K(z,y) \ R(K(z,y),u,w). K(x,K(y,R(z,u,w))) * (K(y,z) * R(K(z,T(y,x)),u,w)) = K(z,y) \ R(K(z,y),u,w). K(x,y) \ R(K(x,y),z,u) != w * (K(y,x) * R(K(x,T(y,v5)),z,u)) | K(v5,K(y,R(x,z,u))) = w. x * (K(y,z) * R(K(z,T(y,u)),w,v5)) != K(z,y) \ R(K(z,y),w,v5) | K(u,K(y,R(z,w,v5))) = x. (x \ 1) \ (K(y,x) * z) = (x \ K(x,y)) \ z. x * y != K(z \ u,z) * (u / z) | x \ (z \ u) = y. (x \ 1) \ (x \ y) = (x \ K(x,x \ y)) \ (y / x). (x \ K(x,x \ y)) \ (y / x) = (x \ 1) \ (x \ y). (x \ K(x,(x \ 1) * y)) \ (y / x) = (x \ 1) \ (x \ y). (R(x,y,z) \ K(R(x,y,z),R(x,y,z) \ 1)) \ (K(x,u) / R(x,y,z)) = (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)). (1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)) = (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)). (K(x / y,z) * y) / x = K((y / x) \ 1,z) * (y / x). K((x / y) \ 1,z) * (x / y) = (K(y / x,z) * x) / y. ((x \ K(x,y)) * T(z,x \ K(x,y))) / ((x \ 1) * K(x,y)) = L(z,K(x,y),x \ 1). (x * (y \ K(y,z))) / ((y \ 1) * K(y,z)) = L(x,K(y,z),y \ 1). (x * (y \ K(y,z))) / (y \ K(y,z)) = L(x,K(y,z),y \ 1). x = L(x,K(y,z),y \ 1). L(x,K(y,z),y \ 1) = x. L(x,K((y \ (y / z)) \ 1,u),y \ (y / ((z \ 1) \ 1))) = x. L(x,K((y / z) \ y,u),y \ (y / ((z \ 1) \ 1))) = x. L(x,K(y,z),u \ (u / ((y \ 1) \ 1))) = x. x != L(y,z,u \ (w / ((v5 \ 1) \ 1))) | x = L(y,z,u \ (w / v5)). x = L(x,K(y,z),u \ (u / y)). L(x,K(y,z),u \ (u / y)) = x. K(x,y) * ((z \ (z / y)) \ u) = ((z \ (z / y)) * K(y,x)) \ u. ((x \ (x / y)) * K(y,z)) \ u = K(z,y) * ((x \ (x / y)) \ u). a(x,x \ y,x) * (K(x,y) * z) = K(x,x \ y) * z. a(x,x \ y,x) * T(z,K(x,y)) = K(x,x \ y) * (z * K(y,x)). (L(x,y,z) * u) \ (u * L(T(x,w),y,z)) != v5 | K(u,L(x,y,z)) * K(L(x,y,z),w) = v5. (x * y) \ (y * T(T(z * x,z) / z,y)) = L(a(z,T(x,y),z),T(x,y),y). (x * y) \ ((T(z * x,z) / z) * y) = L(a(z,T(x,y),z),T(x,y),y). L(a(x,T(y,z),x),T(y,z),z) = (y * z) \ ((T(x * y,x) / x) * z). 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). T(x,L((y \ z) \ z,u,w)) != v5 | T(x,L(T(y,z),u,w)) = v5. x != (y * K(z,u)) * u | x = y * (u * K(z,u)). (x * K(y,z)) * T(z,u) = (x * K(z,u)) * (z * K(y,z)). (x * K(y,z)) * (y * K(u,y)) = (x * K(u,y)) * T(y,z). (x * K(y,z)) * T(z,u) = x * (T(z,u) * K(y,z)). ((x * y) / x) / ((x * (y * K(z / (u * w),y))) / x) = K(y,T(z / ((K(y,v5) * u) * w),x)). K(x,T(y / ((K(x,z) * u) * w),v5)) = ((v5 * x) / v5) / ((v5 * (x * K(y / (u * w),x))) / v5). K(x,T(y / ((K(x,z) * u) * w),v5)) = K(x,T(y / (u * w),v5)). K(x,T(y / ((z * T(x,u)) * w),v5)) = K(x,T(y / ((z * x) * w),v5)). K(x,T(y,(z * x) * u)) = K(x,T(y,(x * z) * u)). x * y != T(x,L((z \ u) \ u,w,v5)) | y = K(x,L(T(z,u),w,v5)). K(x,T(L((y \ z) \ z,u,w),v5)) = K(T(x,v5),L(T(y,z),u,w)). K((x / y) \ 1,z) * (x / y) = (x * K(x \ y,z)) / y. (K(x,y) * z) \ (y * z) = T(T(y,x),z). K(x * K(y \ (x * z),x),u) = K(x,T(u,y \ (z * x))). K(x,T(y,z)) != u | K(x,y) * K(x,K(y,z)) = u. K(x,L(T(y,z),z,u)) * (u * z) = (u * z) * K(x,(u * (y * z)) / (u * z)). (x * y) * K(z,(x * (u * y)) / (x * y)) = K(z,L(T(u,y),y,x)) * (x * y). K(x,(y * (z \ (y \ u))) \ u) * u = u * (u / (y * (K(z,x) * (y \ u)))). x != T(y,T(z,u)) * u | x = y * (u * K(y,z)). (x * y) * K(x,z) = x * (y * K(x,z)). R(T(x,K(y,z)),K(y,z),u) != w | ((K(y,z) * x) * u) / (K(y,z) * u) = w. K(x,L(y,z,x)) = K(x,y). R(x,y,K(x,z)) = x. L(K(x,y),z,x) = K(x,y). K(x,y) * z != x * (u * K(x,y)) | T(x * u,K(x,y)) = z. T((x \ y) * z,K(x \ y,x)) = (y / x) * (z * K(x \ y,x)). (x / y) * (z * K(y \ x,y)) = T((y \ x) * z,K(y \ 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). a(x,y,K(x,z)) * u = u. K(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)). K(x,(x * y) \ z) = K(x,y \ (x \ z)). K(x,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)). K(x,T(y \ (x * z),u)) = K(x,T((x \ y) \ z,u)). K(x,T((x \ y) \ z,u)) = K(x,T(y \ (x * z),u)). x * K(x,y) = T(x,L(y,z,x)). T(x,L(y,z,x)) = x * K(x,y). L(K(x,y),z * x,u) = K(L(x,z,u),L(y,w,x)). K(L(x,y,z),L(u,w,x)) = L(K(x,u),y * x,z). K(L(x,y,x),z) = K(x,z). x != y | x = z \ (z * y). L(K(x,y),z,x) = u \ (u * K(x,y)). x != L(K(y,z),T(u,K(z,y)),w) | x = (w * T(u,K(z,y))) \ (w * (K(y,z) * u)). K(x,y) = (x * T(z,K(y,x))) \ (x * (K(x,y) * z)). (x * T(y,K(z,x))) \ (x * (K(x,z) * y)) = K(x,z). (x * y) * K(x,z) != u | x * (y * K(x,z)) = u. x != K(y,T(z,u)) | x = K(y,T(z,u * y)). K(L(x,y,x),T(z,u)) = K(x,T(z,u * x)). K(x,y) * L(x,z,x) = L(T(x,y),z,x). x / K(y,x) = T(x,L(y,z,y)). T(x,L(y,z,y)) = x / K(y,x). (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(x,T(x,x * y) \ z). K(L(x,y,z),L(u,w,x)) = K(L(x,y,z),u). x != K(L(y,z * u,w),L(u,z,y)) | x = K(y,L(L(u,z,y),y * z,w)). K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)). K(L(x,y,z),u \ (x * w)) = K(L(x,y,z),(x \ u) \ w). K(L(x,y,z),(x \ u) \ w) = K(L(x,y,z),u \ (x * w)). x != K(y,L(L(z,u,y),w,v5)) | 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)). x != K(y,z * ((u * z) \ u)) | x = 1. K(x,L(y * ((z * y) \ z),u,w)) = 1. K(L(x,T(y * (x \ z),y),u),R(y,x \ z,y)) = K(x,L(R(y,x \ z,y),z,u)). L(x,y,K(z,L(x,u,w))) = x. K(L(x,T(y * (x \ z),y),u),y) = K(x,L(R(y,x \ z,y),z,u)). x != K(L(y,T(z,u),w),u) | x = K(L(y,z,w),u). K(x,L(R(y,x \ z,y),z,u)) = K(L(x,y * (x \ z),u),y). 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. T(x,y) \ L(T(x,y),z,x) = x \ L(x,z,x). 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). 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. L(x,y,x) * K(x,R(z \ 1,u,w) \ 1) = L(x * R(K(x,z),u,w),y,x). 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,L(y,z,x)) != u | K(x,y) = u. K(x,(x * y) \ (x * z)) != u | K(x,y \ z) = u. K(x,(x * y) \ z) != u | K(x,y \ (x \ z)) = u. K(x,(y * (x / y)) \ (x * z)) != u | K(x,K(y \ x,y) * z) = u. K(x,K(y \ x,y) * z) = K(x,x \ (x * z)). K(x,x \ (x * y)) = K(x,K(z \ x,z) * y). K(x,y) = K(x,K(z \ x,z) * y). K(x,K(y \ x,y) * z) = K(x,z). K(x * y,K(y,x) * z) = K(x * y,z). K(x,(y \ x) * z) = K(x,(x / y) * z). K(x,(x / y) * z) = K(x,(y \ x) * z). K(x,y) = K(x,K(z,z \ x) * y). K(x,K(y,y \ x) * z) = K(x,z). T((K(x,y) * z) * K(y * x,z),y * x) = K(x,y) * z. (x * y) * (K(y,x) * z) = (K(y,x) * z) * T(x * y,z). (K(x,y) * z) * T(y * x,z) = (y * x) * (K(x,y) * z). ((K(x,y) * z) * T(y * x,z)) / (z * T(y * x,z)) = L(K(x,y),z,y * x). L(K(x,y),z,y * x) != u | R(K(x,y),z,T(y * x,z)) = u. 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. x * y != (K(z,u) * w) * T(u * z,w) | x \ ((z * u) * w) = y. (x * y) \ ((y * x) * z) = K(y,x) * z. L(x,K(y,z),z * y) = x. x * (K(y \ x,y) * z) = ((y \ x) * y) * z. (x * y) \ z = K(y,x) * ((y * x) \ z). K(x,y) * ((x * y) \ z) = (y * x) \ z. (x * y) * (K(y,x) * z) != u * w | u \ ((y * x) * z) = w. (x * y) * (T(x,y) \ z) != u | (y * x) * (x \ z) = u. x != y / K(z,u) | x = y * K(u,z). T(x,L(y,z,y)) = x * K(x,y). T(x,L(y,z,y)) = T(x,y). T(x,L(y,z,y)) != u | T(x,y) = u. K(x,L(y,z,y)) = K(x,y). L(K(x,y),z,y) = K(x,y). (x * y) * K(z,x) = x * (y * K(z,x)). K(L(x,y,z),z) = K(x,z). K((x * y) \ z,x) = K(y \ (x \ z),x). K((x \ y) \ z,x) = K(y \ (x * z),x). K(L(L(x,y,z),u,w),z) = K(L(x,u,w),z). K((x * (y / x)) \ (y * z),y) = K(K(x \ y,x) * z,y). R(x,y,z) \ R(x * K(u,x),y,z) = K(L(u,w,x),R(x,y,z)). K(L(x,y,z),R(z,u,w)) = R(z,u,w) \ R(z * K(x,z),u,w). 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(L(L(y,z,u),u * z,w),u) | x = K((w * (u * z)) \ (w * ((z * y) * u)),u). K(L(x,y * z,u),y) = K((u * (y * z)) \ (u * ((z * x) * y)),y). K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(u,y * z,x),y). 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). 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). 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). K(x \ y,z) = K((x * z) \ (y * z),z). K((x * y) \ (z * y),y) = K(x \ z,y). L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K((y * x) \ z,L(x,u,w)). K((x * y) \ (z * y),y) != u | K(x \ z,y) = u. K((x * y) \ z,y) != u | K(x \ (y \ z),y) = u. L(K(x \ y,x),y,z) != u | K(z \ (x \ (z * y)),x) = u. K((x * y) \ z,x) != u | K(y \ (x \ z),x) = u. K((x \ y) \ z,x) = K(y \ (z * x),x). x != y * ((z \ (y \ u)) * z) | x = ((z \ (u / y)) * z) * y. x * K(y \ (z \ x),z) = ((z \ (x / y)) * z) * y. ((x \ (y / z)) * x) * z = y * K(z \ (x \ y),x). (x * K(y \ (z \ x),z)) * u = (y * ((z \ (y \ x)) * z)) * u. (x * y) * K(x \ (z \ (x * y)),z) = x * ((z \ y) * z). (x * ((y \ (x \ z)) * y)) \ z != u | K(y,x \ (y \ z)) = u. K(x,(y * z) \ (x \ u)) = K(x,(y * (z * x)) \ u). K(x,(y * (z * x)) \ u) = K(x,(y * z) \ (x \ u)). K(x,y \ (x \ z)) = K(x,(y * x) \ z). K(x,(y * x) \ z) = K(x,y \ (x \ z)). K(x,(y * (z * x)) \ u) != w | K(x,(y * z) \ (x \ u)) = w. K(x,(y * x) \ z) != u | K(x,y \ (x \ z)) = u. K(x,(y * z) \ u) = K(x,(y * (z / x)) \ (x \ u)). K(x,(y * (z / x)) \ (x \ u)) = K(x,(y * z) \ u). (x * K(y,(z * u) \ (y \ w))) \ x = K((z * (u * y)) \ w,y). 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) \ (z \ (x * ((y * u) * z))),z) = K(L(u,z * y,x),z). K(x,x \ y) * (y \ z) = ((x \ y) * x) \ z. T(x,y) * ((x * y) \ z) = x * ((y * x) \ z). K(x,(R(x,y,z) * u) \ w) = K(x,(u * R(x,y,z)) \ w). K(x * ((y * z) \ u),z) = K(x * ((z * y) \ u),z). K(x,y * ((z * x) \ u)) = K(x,y * ((x * z) \ u)). T(x,y) * (L(T(x,y),z,x) \ u) = x * (L(x,z,x) \ u). R(x,y,K(z,x)) = x. (x * (y * z)) * K(u,L(y,z,x)) = x * (y * (z * K(u,y))). K(x,y) * (x * (z * K(y,x))) = T(x * z,K(x,y)). R(x,y,z) = R(R(x,y,z),u,K(w,x)). R(R(x,y,z),u,K(w,x)) = R(x,y,z). T(x,y) * (z * K(u,x)) = (T(x,y) * z) * K(u,x). (T(x,y) * z) * K(u,x) = T(x,y) * (z * K(u,x)). R(x,y,z) = R(x,y,T(z,x)). R(x,y,T(z,x)) = R(x,y,z). R(x,y,K(z,T(x,u))) = x. x != R(R(y,z,T(u,w)),z * T(u,w),K(w,u)) | x = R(y,z,u). R(x,y,T(x,z)) = R(x,y,x). ((x * K(y,z)) * R(z,u,w)) / K(y,z) = (((x * K(y,z)) * R(z,u,w)) / (x * K(y,z))) * x. (((x * K(y,z)) * R(z,u,w)) / (x * K(y,z))) * x = ((x * K(y,z)) * R(z,u,w)) / K(y,z). 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). (x \ L(T(x,y),z,x)) \ x = R(x * K(y,x),z,x). 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. K(x,(x \ y) \ z) = K(x,y \ (z * x)). x != K(y,(y \ ((z * y) * (z \ 1))) \ u) | x = K(y,a(y,z,z \ 1) \ u). K(x,((y * x) * (y \ 1)) \ (x * z)) = K(x,a(x,y,y \ 1) \ z). K(x,y) = K(x,z \ (((x \ z) * y) * x)). K(x,y \ (((x \ y) * z) * x)) = K(x,z). L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (x \ y)) \ u). K(x,y) * K(x,K(y,z \ (u * y))) = K(x,T(y,(y \ 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). K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (x * u)). K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (u * x)). (x / y) \ (x * K(y,(z * u) \ (y * w))) = T(y,(z * (y \ u)) \ w). x != K(y,(z * (y \ u)) \ w) | x = K(y,(z * (u / y)) \ w). K(x,(y * z) \ (u * x)) = K(x,(y * (z / x)) \ u). K(x,(y * (z / x)) \ u) = K(x,(y * z) \ (u * x)). K(x,(y * (x \ 1)) \ z) = K(x,y \ (z * x)). K(x,y \ z) = K(x,(y * x) \ (z * x)). K(x,(y * x) \ (z * x)) = K(x,y \ z). (x \ 1) / (x \ K(x,(y * z) \ (u * x))) = K((y * (z / x)) \ u,x). 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). L(K(x,(x \ 1) \ y),y,z) = K(x,z \ ((z * y) * x)). 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). T(x,y) * (z * K(y,x)) = T(x * z,K(x,y)). T(x,y) * (z * T(y,x)) = T(x * (z * y),K(x,y)). L(x,y,x) * T(z,x) = z * L(x,y,x). (x * L(y,z,y)) / T(T(x,y),u) = K(u,x) * L(y,z,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)). 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,L(y,z,x)) = T(x,y). T(x,(x * y) \ z) = T(x,y \ (x \ z)). T(x,y \ (x * z)) = T(x,(x \ y) \ z). T(x,(x \ y) \ z) = T(x,y \ (x * z)). x != T(y,(y * z) \ u) | 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)). K(x,T(y,(y * z) \ u)) = K(x,T(y,z \ u)). K(x * y,T(x,z)) = K(x * y,T(x,y \ z)). K(x * y,T(x,y \ z)) = K(x * y,T(x,z)). K(x,T(y,z \ u)) = K(x,T(y,(y \ z) \ u)). K(x,T(y,(y \ z) \ u)) = K(x,T(y,z \ u)). K(x,T(y,(y \ z) \ u)) = K(x,y) * K(x,K(y,z \ u)). K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(y \ z) \ u)). K(x \ y,T(x,y \ z)) != u | K(x \ y,T(x,z)) = u. K(x,y) * z != K(x,T(y,(y \ u) \ w)) | z = K(x,K(y,u \ (w * 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)). 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,y) * (x \ L(x,z,x)) != u | x \ L(T(x,y),z,x) = u. (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(x,x \ z). x != y * K(z,z \ y) | x = z * (y / z). (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = x * (z / x). L(x,T(y,x),x) * (z / (((x * (y * x)) / x) / y)) = x * (z / x). L(x,T(y,x),x) * (z / L(x,T(y,x),x)) = x * (z / x). L(x,y,x) * (z / L(x,T(y,x),x)) = x * (z / x). L(x,y,x) * (z / L(x,y,x)) = x * (z / x). L(x,y,x) * ((z * x) / L(x,y,x)) = x * z. L(x,y,x) * (z * a(x,y,x)) = x * z. L(x,y,x) \ (x * z) = z * a(x,y,x). L(x,y,x) \ z = (x \ z) * a(x,y,x). (x \ y) * a(x,z,x) = L(x,z,x) \ y. L(x,y,x) * z = x * (z / a(x,y,x)). x * (y / a(x,z,x)) = L(x,z,x) * 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 != z * a(z,u,z) | x \ R(z,u,z) = y. x \ R(x,y,x) = L(x,y,x) \ x. L(x,y,x) \ x = x \ R(x,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). K(x,y) * (z * a(x,u,x)) = T(x,y) * (L(x,u,x) \ z). T(x,y) * (L(x,z,x) \ u) = K(x,y) * (u * a(x,z,x)). T(x,y) * (L(T(x,y),z,x) \ u) = u * a(T(x,y),z,T(x,y)). x * y != T(z,u) * (L(T(z,u),w,z) \ x) | y = a(T(z,u),w,T(z,u)). a(x,y,x) = a(T(x,z),y,T(x,z)). a(T(x,y),z,T(x,y)) = a(x,z,x). K(x,y) * (z * a(y,u,y)) = y * (L(T(y,x),u,y) \ z). ((x * y) * a(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). a(x,y,x) * K(y,T(x,z)) = K(T(x,z * y) * y,T(x,z * y)). K(T(x,y * z) * z,T(x,y * z)) = a(x,z,x) * K(z,T(x,y)). 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. a(x,y,x) * z = z * a(x,y,x). (a(x,y,x) \ z) * a(x,y,x) = z. K(x,y) * z != K(x,x * y) * u | z = a(x,y,x) \ u. x = a(y,z,y) \ (x * a(y,z,y)). a(x,y,x) \ (z * 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). x / a(y,z,y) = a(y,z,y) \ x. T(x,a(y,z,y)) = x. x * y != x * a(z,u,z) | T(a(z,u,z),x) = y. T(a(x,y,x),z) = a(x,y,x). 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 * (a(y,z,y) * u) != u * a(y,z,y) | 1 = x. 1 = K(x,a(y,z,y)). K(x,a(y,z,y)) = 1. x * y != (z * L(u,w,u)) * a(u,w,u) | x \ (z * u) = y. 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)). x != a(y,z,y) * (z * y) | x = T(y * z,y). (x * y) * a(y,x,y) = T(y * x,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. (x * y) \ ((x * a(z,u,z)) * y) = R(T(a(z,u,z),x * y),x,y). a(x,y,x) * z = z * (x \ R(x,y,x)). x * (y \ R(y,z,y)) = a(y,z,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. L(x,y,x) * z = x * (a(x,y,x) \ z). x * (a(x,y,x) \ z) = L(x,y,x) * z. x \ y = a(x,z,x) \ (L(x,z,x) \ y). a(x,y,x) \ (L(x,y,x) \ z) = x \ z. x * y != L(z,x \ u,x) * u | y = (x \ u) * T(z,u). a(x,x \ y,x) \ y = (x \ y) * T(x,y). x * y != L(x,z,u) * w | y = L(x,z,u) * (x \ w). a(x,y,x) \ z = L(x,y,x) * (x \ z). L(x,y,x) * (x \ z) = a(x,y,x) \ z. a(x,y,x) \ z = (z / (K(x,x * y) * a(x,y,x))) * K(x,x * y). (x / (K(y,y * z) * a(y,z,y))) * K(y,y * z) = a(y,z,y) \ x. R(T(x,T(x * y,x)),y * x,a(x,y,x)) = ((y * x) * a(x,y,x)) \ ((x * y) * x). R(T(x,x * y),y * x,a(x,y,x)) = ((y * x) * a(x,y,x)) \ ((x * y) * x). ((x * y) * a(y,x,y)) \ ((y * x) * y) = R(T(y,y * x),x * y,a(y,x,y)). (x / K(y,z)) * K(y,y * z) = a(y,z,y) \ x. (x * K(y,z)) * K(z,z * y) = a(z,y,z) \ x. x != (y * K(z,u)) * K(u,u * z) | x = (y / R(u,z,u)) * u. a(x,y,x) \ z = (z / R(x,y,x)) * x. (x / R(y,z,y)) * y = a(y,z,y) \ x. x * y != a(z,u,z) \ (w * a(z,u,z)) | w / y = x. 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(z,u,z)) * z | x = z * (R(z,u,z) \ y). a(x,y,x) \ z = x * (R(x,y,x) \ z). x * (R(x,y,x) \ z) = a(x,y,x) \ z. x != (y / R(z,u,z)) * z | x = y * (z \ L(z,u,z)). a(x,y,x) \ z = z * (x \ L(x,y,x)). x * (y \ L(y,z,y)) = a(y,z,y) \ x. (x / y) * R(y,z,y) = x * a(y,z,y). (x / y) * R(y,z,y) != x * u | u = a(y,z,y). (x / y) * R(y,z,y) != x * u | a(y,z,y) = u. 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 * a(y,z,y)) \ (x * R(y,z,y)) = y. (x / y) * ((y \ z) \ T(z,y)) = x * a(y,y \ z,y). (x * y) \ (x * R(y,z,y)) = a(y,z,y). x / a(y,z,y) = (x / R(y,z,y)) * y. (x / R(y,z,y)) * y = x / a(y,z,y). x != y * a(z,u,z) | x = a(z,u,z) * y. x * R(y,z,y) = a(y,z,y) * (x * y). a(x,y,x) * (z * x) = z * R(x,y,x). x * y != (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 != 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). L(x,y,x) \ z = a(x,y,x) * (x \ z). a(x,y,x) * (x \ z) = L(x,y,x) \ z. x * (y * a(x,z,x)) = R(x,z,x) * y. x * (a(x,y,x) * z) = R(x,y,x) * z. R(x,y,x) \ z = a(x,y,x) \ (x \ z). a(x,y,x) \ (x \ z) = R(x,y,x) \ z. x \ (R(x,y,x) * z) = a(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 * y != R(x,z,u) * (x * w) | y = R(x,z,u) * w. a(x,y,x) * (x * z) = R(x,y,x) * z. T(x * L(x \ (T(x,y) * y),z,u),x) = x * L(a(x,y,x) * y,z,u). T(x * L(x \ (T(x,y) * y),z,u),x) = x * L(y * a(x,y,x),z,u). T(x * L(y * K(x,y),z,u),x) = x * L(y * a(x,y,x),z,u). 1 * x = T(x,a(y,z,y)). T(x,a(y,z,y)) = 1 * x. x * K(y,a(z,u,z)) = x. x != a(y,z,y) | x = y \ R(y,z,y). T(a(x,y,x),z) = x \ R(x,y,x). x * a(y,z,y) != u | a(y,z,y) * x = u. x * R(a(y,z,y),u,w) = R(a(y,z,y),u,w) * x. R(a(x,y,x),z,u) * w = w * R(a(x,y,x),z,u). T(x,R(a(y,z,y),u,w)) = x. L(a(x,y,x),z,u) = (u * (z * a(x,y,x))) / (u * z). (x * (y * a(z,u,z))) / (x * y) = L(a(z,u,z),y,x). (x * (y * R(z,u,z))) / (x * (y * z)) = L(a(z,u,z),y * z,x). (x * a(y,z,y)) * y = x * R(y,z,y). (a(x,y,x) * z) * x = z * R(x,y,x). 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,y \ (x \ ((x * z) * y))) = K(x,R(T(z,y),x,y)). K(x,y \ (x \ z)) = (((x \ (z / y)) * x) * y) \ z. (((x \ (y / z)) * x) * z) \ y = K(x,z \ (x \ y)). L(x,y,x) * (x \ z) = (z / x) * L(x,y,x). x != L(y,z,u) \ y | x = (y \ L(y,z,u)) \ 1. x \ R(x,y,x) = (x \ L(x,y,x)) \ 1. (x \ L(x,y,x)) \ 1 = x \ R(x,y,x). (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)). 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). 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)). 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(K(x,y),z,L(x,u,w)) = K(x,y). (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) != v5 | K(w,x) = v5. K(x,y) = L(K(x,y),z,L(y,u,w)). L(K(x,y),z,L(y,u,w)) = K(x,y). K(L(x,y,L(z,u,w)),z) = K(x,z). K(x,y) = K(x,L(y,z,L(y,u,w))). K(x,L(y,z,L(y,u,w))) = K(x,y). K(T(x \ (L(y,z,u) * w),L(y,z,u) \ x),y) = K((((L(y,z,u) \ x) \ w) \ w) \ w,y). K(x \ (L(y,z,u) * w),T(y,L(y,z,u) \ x)) = K((((L(y,z,u) \ x) \ w) \ w) \ w,y). K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,L(x,y,z) \ u)). L(x,y,z) * (u * K(w,T(x,v5))) = (L(x,y,z) * u) * K(w,T(x,v5)). (L(x,y,z) * u) * K(w,T(x,v5)) = L(x,y,z) * (u * K(w,T(x,v5))). L(K(x,T(y,z)),u,L(y,w,v5)) = K(x,T(y,z)). K(x,T(y,L(y,z,u) * w)) = K(x,T(y,w)). L(K(x,T(y,z)),u,y) = K(x,T(y,z)). 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)). x != K(y \ (L(z,u,w) * v5),T(z,L(z,u,w) \ y)) | x = K((((L(z,u,w) \ y) \ v5) \ v5) \ v5,z). K(x \ (L(y,z,u) * w),T(y,x)) = K((((L(y,z,u) \ x) \ w) \ w) \ w,y). K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,u)). K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((L(x,y,z) * w) / u,x). x / a(y,z,y) = L(y,z,y) * (y \ x). L(x,y,x) * (x \ z) = z / a(x,y,x). x * y != L(z,u,z) * (z \ w) | x \ (w / a(z,u,z)) = y. (x / y) \ (x / a(y,z,y)) = L(y,z,y). (x / y) \ (a(y,z,y) \ x) = L(y,z,y). (((x \ y) * x) * z) \ (y * z) = K(x,z \ (x \ (y * z))). ((x * y) * z) \ ((y * x) * z) = K(y,z \ (y \ ((y * x) * z))). K(x,y \ (x \ ((x * z) * y))) = ((z * x) * y) \ ((x * z) * y). x != 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)). K(L(x,y,z),(x \ u) \ L(K(x,w),v5,v6)) = K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))). K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ L(K(x,w),v5,v6)). x != K(L(y,z,u),w \ L(K(y,v5),v6,v7)) | 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). 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). ((R(x,y,x) * z) * u) / ((x * z) * u) != w | R(a(x,y,x),x * z,u) = w. (x * K((y \ 1) \ (z \ x),z)) * u = (y \ ((z \ (y * x)) * z)) * u. (x \ ((y \ (x * z)) * y)) * u = (z * K((x \ 1) \ (y \ z),y)) * u. (x \ (y * z)) * x = (y * K((z \ 1) \ (x \ y),x)) * z. (x * K((y \ 1) \ (z \ x),z)) * y = (z \ (x * y)) * z. x / a(y,z,y) = x * (y \ L(y,z,y)). x * (y \ L(y,z,y)) = x / a(y,z,y). x / (y \ L(y,z,y)) = x * a(y,z,y). x * (y \ L(y,z,y)) != u | a(y,z,y) \ x = u. x / (a(y,z,y) \ 1) = x * a(y,z,y). R(x,a(y,z,y),a(y,z,y) \ 1) = x. R(x,a(y,z,y),y \ L(y,z,y)) = x. R(x,y \ R(y,z,y),y \ L(y,z,y)) = x. K(((x \ 1) \ y) \ z,y) = K(x \ (y \ z),y). 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 * K((y \ z) \ x,z)) * y = (z \ (x * y)) * z. K(x,T(y / (R(x,z,u) * w),y)) = K(x,(w * R(x,z,u)) \ y). K(x,(y * R(x,z,u)) \ w) != v5 | K(x,(R(x,z,u) * y) \ w) = v5. K(x,y \ (z \ (x * y))) = K(x,T(z \ x,x * y)). K(x,T(y \ x,x * z)) = K(x,z \ (y \ (x * z))). K(x,T(y \ x,z)) = K(x,z \ (y \ (x * z))). K(x,y \ (z \ (x * y))) = K(x,T(z \ x,y)). K(x,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(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,L(y,z,T(x,u))) = K(x,y). K(x,y) * z != T(x,u) * (w * K(x,y)) | T(T(x,u) * w,K(x,y)) = z. T(T(x,y) * z,K(x,y)) = x * (z * K(x,y)). K(x,T(L(y,z,T(x,u)),w)) = K(x,T(y,w)). (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 != R(y,z \ R(z,u,z),z \ L(z,u,z)) | x = y. (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = x. L(K(x,(y * z) \ ((u \ w) * x)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). T(R(x,y,x),z) = R(T(x,z),y,T(x,u)). R(T(x,y),z,T(x,u)) = T(R(x,z,x),y). R(x / y,z,y \ x) = R(x / y,z,x / y). R(x / y,z,x / y) = R(x / y,z,y \ x). R(T(x,y),z,T(x,u)) = R(T(x,y),z,x). 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)). R(x,y,T(x * K(z,x),u)) = R(T(x * K(z,x),z),y,x * K(z,x)). R(T(x * K(y,x),y),z,x * K(y,x)) = R(x,z,T(x * K(y,x),u)). K(x,R(T(y,z),u,y)) = K(x,T(y,z)). K(x * 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). (x * (K(T(y,z),u) * K(y * u,T(y,z)))) * (y \ L(y,u,y)) = x. K(x,T(y,z)) * K(T(y,z),y * x) = y \ L(y,x,y). x != y * K(T(z,u),w) | x = y * K(z,T(w,u)). x \ L(x,y,x) = K(y,T(x,z)) * K(x,T(x * y,z)). K(x,T(y,z)) * K(y,T(y * x,z)) = y \ L(y,x,y). (x \ L(x,y,x)) * x = K(y,T(x,z)) * T(x,T(x * y,z)). K(x,T(y,z)) * T(y,T(y * x,z)) = (y \ L(y,x,y)) * y. x != (y \ L(y,z,u)) * y | x = L(y,z,u). K(x,T(y,z)) * T(y,T(y * x,z)) = L(y,x,y). K(x \ 1,T(y,z)) * T(y,T(x \ y,z)) = L(y,x \ 1,y). L(a(x,y,x),x,z) = a(x,y,x). x \ (y \ ((a(x,z,x) * y) * x)) = R(T(a(x,z,x),y * x),y,x). x \ (y \ (y * R(x,z,x))) = R(T(a(x,z,x),y * x),y,x). R(T(a(x,y,x),z * x),z,x) = x \ (z \ (z * R(x,y,x))). R(T(a(x,y,x),z * x),z,x) = x \ R(x,y,x). x != y \ R(y,z,y) | x = a(y,z,y). R(T(a(x,y,x),z * x),z,x) = a(x,y,x). R(a(x,y,x),z,x) = a(x,y,x). x != R(y,z * u,L(w,u,z)) | x = ((y * (z * u)) * L(w,u,z)) / (z * (u * w)). a(L(x,y,z),u,L(x,y,z)) = ((a(L(x,y,z),u,L(x,y,z)) * (z * y)) * L(x,y,z)) / (z * (y * x)). ((a(L(x,y,z),u,L(x,y,z)) * (z * y)) * L(x,y,z)) / (z * (y * x)) = a(L(x,y,z),u,L(x,y,z)). ((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 * (y * R(z,u,L(z,y,x)))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). K(x,y) * ((z / y) * R(y,u,y)) = y * (L(T(y,x),u,y) \ z). 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 != K(y,(z * (y \ u)) \ w) | x = K(y,(z * u) \ (w * y)). L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * y) \ (u * x)). x != L(K(y,(z * u) \ ((w \ v5) * y)),w \ v5,w) | x = K(y,(w * (z * (u / y))) \ v5). K(x,(y * (z * u)) \ (w * x)) = K(x,(y * (z * (u / x))) \ w). K(x,(y * (z * (u / x))) \ w) = K(x,(y * (z * u)) \ (w * x)). 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)). K(x,T(y \ 1,z * (u / x))) = K(x,(y * (z * u)) \ ((z * (x \ u)) * x)). K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * (u / x))). K(L(x,y,L(x,z,u)),w) = K(x,w). x != K(L(y,z,L(y,u,w)),T(v5,L(y,u,w) * z)) | x = K(y,T(v5,z)). K(x,T(y,L(x,z,u) * w)) = K(x,T(y,w)). x != K(y,T(z,L(y,u,w) * (w * u))) | x = K(y,T(z,w * (u * y))). 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)). x != K(y,T(z \ 1,u * (w / y))) | x = K(y,(z * (u * w)) \ ((u * (y \ w)) * y)). K(x,T(y \ 1,z * u)) = K(x,(y * (z * u)) \ ((z * (x \ u)) * x)). K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * u)). K(x,y \ ((z * (x \ u)) * x)) = K(x,T((y / (z * u)) \ 1,z * u)). K(x,T((y / (z * u)) \ 1,z * u)) = K(x,y \ ((z * (x \ u)) * x)). x != K(y,T((z / u) \ 1,u)) | x = K(y,(u \ z) \ 1). 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. x != K(y,z * (y \ u)) | x = K(y,z * (u / y)). K(x,x \ (y * z)) = K(x,y * (z / x)). x * K(x,y * (x \ z)) = T(x,x \ (y * z)). (x * K(y,z * (y \ u))) \ x = K(y \ (z * u),y). L(K(x,x \ y),y,x \ z) = K(x,x \ y). K(x,y \ z) = K(x,x \ ((x \ y) \ z)). K(x,x \ ((x \ y) \ z)) = K(x,y \ z). L(K(x,x \ y),y,z) = K(x,x \ y). K(x,(y * x) \ z) = K(x,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,x \ y) = K(y \ (x * z),x \ y). x != K(y \ z,y) | x = L(K(y \ z,y),z,u). K(x \ (y \ (x * z)),y) = L(K(y \ z,y),z,u). L(K(x \ y,x),y,z) = K(u \ (x \ (u * y)),x). K(x \ (y \ z),y) = K(y \ (x \ z),y). (x * y) * K(z \ y,z) = x * ((z \ y) * z). R(x,y,K(z \ y,z)) = x. (x * (y * z)) * K(y,z) = x * ((z \ (y * z)) * z). 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). K(x,L(y,x,z)) = K(x,y). x * K(y,z) = (x / (z * y)) * (y * z). (x / (y * z)) * (z * y) = x * K(z,y). (x * (y * z)) \ (x * (z * y)) != u | u = K(z,y). (x * (y * z)) \ (x * (z * y)) != u | K(z,y) = u. x != K(y,L(z,y,u)) | x = K(L(y,z,u),z). K(x,y) = K(L(x,y,z),y). K(L(x,y,z),y) = K(x,y). x * K(x,y) = T(x,L(y,x,z)). T(x,L(y,x,z)) = x * K(x,y). (x * y) * K(y,L(z,y,u)) = x * T(y,z). (K(x,y) * z) \ z = K(L(y,x,u),T(x,z)). K(L(x,y,z),T(y,u)) = (K(y,x) * u) \ u. L(K(x,y),T(y,z) * u,w) = K(L(x,y,v5),L(y,u,w)). T(x,L(y,x,z)) = T(x,y). x * L(y,x,z) = L(y,x,z) * T(x,y). L(x,y,z) * T(y,x) = y * L(x,y,z). T(x \ y,y \ (x * z)) = T(x \ y,(x \ y) \ z). T(x \ y,(x \ y) \ z) = T(x \ y,y \ (x * z)). T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = T(L(x,y,z),L(x,y,z) \ u). x / T(x,y) = K(L(y,x,z),x). K(L(x,y,z),y) = y / T(y,x). (x * T(y,z)) \ (x * (T(y,z) * z)) = L(z,y,x). L(x,T(y,x),z) = L(x,y,z). L(x,x \ y,z) = L(x,y / x,z). L(x,y / x,z) = L(x,x \ y,z). x != L(y,(z \ u) / y,z) | x = (z * ((z \ u) / y)) \ u. L(x,x \ (y \ z),y) = (y * ((y \ z) / x)) \ z. (x * y) / L(z,z \ y,x) = x * (y / z). K(L(x,x \ y,z),u) != w | L(K(x,u),y,z) = w. x != R(y / z,z,T(u,z)) | x = (y * T(u,z)) / (u * z). R(x / y,y,z) = (x * T(z,y)) / (z * y). (x * T(y,z)) / (y * z) = R(x / z,z,y). R(x,y,y \ z) = R(x,y,z / y). R(x,y,z / y) = R(x,y,y \ z). R(x,y,z) * (z * y) = (x * y) * T(z,y). R(x,y \ z,(y \ z) \ z) = R(x,y \ z,y). R(x,y,z) = R(x,y,z * K(y,z)). R(x,y,z * K(y,z)) = R(x,y,z). R(x,y,K(z,T(u,y))) = R(x,y,K(z,u)). a(x,y * K(L(x,z,u),y),L(x,z,u)) = x \ R(x,y,L(x,z,u)). R(x,T(y,z),z) = R(x,y,z). R(x,T(K(y,z),u),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). K(L(x,y,z),L(y,u,w)) = K(x,L(y,u,w)). L(K(x,y),T(y,z) * u,w) != v5 | K(x,L(y,u,w)) = v5. L(K(x,y),y * z,u) != w | K(x,L(y,z,u)) = w. (x * (y * z)) * K(y,z) = x * (T(y,z) * z). ((x * y) * (T(z,u) * u)) / ((y * (z * u)) * K(z,u)) = R(R(x,y,z * u),y * (z * u),K(z,u)). ((x * y) * (T(z,u) * u)) / (y * (T(z,u) * u)) = R(R(x,y,z * u),y * (z * u),K(z,u)). R(R(x,y,z * u),y * (z * u),K(z,u)) = ((x * y) * (T(z,u) * u)) / (y * (T(z,u) * u)). R(R(x,y,z * u),y * (z * u),K(z,u)) != w | R(x,y,T(z,u) * u) = w. x * K(y \ z,z \ (y * x)) = (y \ z) * (x / (y \ z)). x * K(L(y,z,u) \ y,L(y,z,u) * (y \ x)) = (L(y,z,u) \ y) * (x / (L(y,z,u) \ y)). (x * T(y,y \ z)) / z = R(x / (y \ z),y \ z,y). R(x / (y \ z),y \ z,y) = (x * T(y,y \ z)) / z. (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). ((x * T(y,x)) * L(x,y,z)) \ (x * (y * L(x,y,z))) = K(L(x,y,z),x * T(y,x)). ((x * y) * L(y,x,z)) \ (y * (x * L(y,x,z))) = K(L(y,x,z),y * T(x,y)). K(x,y * L(x,y,z)) = K(L(x,y,z),x * T(y,x)). K(L(x,y,z),x * T(y,x)) = K(x,y * L(x,y,z)). K(L(x,y,z),y * x) = K(x,y * L(x,y,z)). K(x,x * y) = K(x,y * L(x,y,z)). K(x,y * L(x,y,z)) = K(x,x * y). L(K(x,x * y),z * x,u) = K(L(x,z,u),y * L(x,y,w)). K(L(x,y,z),u * L(x,u,w)) = K(L(x,y,z),x * u). L(K(L(x,y,z),x * y),y,z) = K(x,x * y). L(K(x,x * y),y,z) = K(x,x * y). x != 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)). 1 / L(K(x,x * y),y,z) = K(x * y,x). L(K(x * y,x),y,z) = K(x * y,x). L(K(x * y,x),y,z) = K(y * x,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) = K(z * ((x * z) \ y),z). K(x * ((y * x) \ z),x) = K(y \ z,x). K((x \ y) \ z,z) = K(z * (y \ x),z). x != K(y \ (z * u),u) | x = K((u \ y) \ z,u). K(x * (y \ z),x) = K((x \ y) \ z,x). K((x \ y) \ z,x) = K(x * (y \ z),x). x != K(y \ ((z \ u) * z),z) | x = K(y \ u,z). K(x * (y \ (x \ z)),x) = K(y \ z,x). L(x * K(x * (y \ z),x),u,w) / L(x,u,w) = K(y \ (z * x),L(x,u,w)). K(x * (y \ z),x) * K(x,y \ z) = a(x,(z \ y) \ 1,x). K(x \ y,y) = K(y * ((z * x) \ z),y). K(x * ((y * z) \ y),x) = K(z \ x,x). K(x * (y \ z),L(x,u,w)) = K(y \ (z * x),L(x,u,w)). K(x \ (y * z),L(z,u,w)) = K(z * (x \ y),L(z,u,w)). 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)). K(x,y \ x) = K(x,x * ((z * y) \ z)). K(x,x * ((y * z) \ y)) = K(x,z \ x). x != K(y,y * z) | x = L(K(y,y * z),z,u). K(x,y \ (z * x)) = L(K(x,x * (y \ z)),y \ z,u). L(K(x,x * (y \ z)),y \ z,u) = K(x,y \ (z * x)). x != K(y,z \ (u * y)) | x = K(y,(z * (y \ 1)) \ u). K(x,x * (y \ z)) = K(x,(y * (x \ 1)) \ z). K(x,(y * (x \ 1)) \ z) = K(x,x * (y \ z)). x != K(y,(z * u) \ (w * y)) | x = K(y,(z * (u / y)) \ w). 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,x * (y \ ((x \ y) * z))) = K(x,z). x != K(y,z \ (u * y)) | x = K(y,z \ (y * u)). K(x,x * (y \ z)) = K(x,y \ (x * z)). K(x,y \ (x * z)) = K(x,x * (y \ z)). (x * (y \ (z * x))) / x = (y \ (z * x)) * K(x,x * (y \ z)). (x \ (y * z)) * K(z,z * (x \ y)) = (z * (x \ (y * z))) / 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 * y) \ (x * (z * y))) * K(z * y,(z * y) * ((x * y) \ x)) = ((z * y) * L(T(z,y),y,x)) / (z * y). L(T(x,y),y,z) * K(x * y,(x * y) * ((z * y) \ z)) = ((x * y) * L(T(x,y),y,z)) / (x * y). L(T(x,y),y,z) * K(x * y,y \ (x * y)) = ((x * y) * L(T(x,y),y,z)) / (x * y). L(T(x,y),y,z) * K(x * y,T(x,y)) = ((x * y) * L(T(x,y),y,z)) / (x * y). ((x * y) * L(T(x,y),y,z)) / (x * y) = L(T(x,y),y,z) * K(x * y,T(x,y)). L(K(x * y,y),x,z) = K(x * y,y). L(K(x * y,x),y,z) != u | K(x * y,x) = u. K(x \ (y * z),z) != u | K(z * (x \ y),z) = u. K((x \ y) \ z,z) != u | K(z * (y \ x),z) = u. K(x,y \ (z * x)) != u | u = K(x,x * (y \ z)). K(x,y \ (z * x)) != u | K(x,x * (y \ z)) = u. K(x,y * (L(y,z,u) \ x)) != w | K(x,x * (L(y,z,u) \ y)) = w. K(x,(y * (x \ z)) \ u) != w | K(x,x * ((y * z) \ u)) = w. x != K(L(y,z,u),w \ (L(y,z,u) * L(K(y,v5),v6,v7))) | x = K(L(y,z,u),T(w \ L(y,z,u),L(K(y,v5),v6,v7))). K(L(x,y,z),L(x,y,z) * (u \ L(K(x,w),v5,v6))) = K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))). a(x,(y \ z) \ 1,x) != u | a(x,z \ y,x) = u. 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). L(x * K(x * ((y * z) \ u),x),w,v5) \ L(x,w,v5) = K(L(x,w,v5),(y * (x \ z)) \ u). K(L(x,y,z),x * ((u * w) \ v5)) = K(L(x,y,z),(u * (x \ w)) \ v5). K(L(x,y,z),(u * (x \ w)) \ v5) = K(L(x,y,z),x * ((u * w) \ v5)). K(R(x,y * z,a(x,y,z)),R(x,y * z,a(x,y,z)) * (((x * y) * z) \ (((y * z) * a(x,y,z)) * u))) = K(R(x,y * z,a(x,y,z)),u). R(K(x,(y / z) / u),z \ y,z) = K(x,y / (u * z)). R(K(x,(y / (z / u)) \ x),u \ z,u) = K(x,z / ((x \ y) * u)). L(x,K(y \ z,y),z) = x. L(x,K(y \ 1,z),y \ z) = x. L(x,K(y,y \ z),z) = x. K(x \ y,x) * (y \ z) = (y * K(x,x \ y)) \ z. (x * K(y,y \ x)) \ z = K(y \ x,y) * (x \ z). (x * (y / x)) \ z = K(x \ y,x) * (y \ z). K(x \ y,x) * (y \ z) = (x * (y / x)) \ z. x * y != ((z / u) * w) \ z | T(x,y) = y \ L(w \ u,w,z / u). T(K((x / y) \ z,x / y),z \ x) = (z \ x) \ L((z / (x / y)) \ y,z / (x / y),x / y). (x \ y) \ L((x / (y / z)) \ z,x / (y / z),y / z) = T(K((y / z) \ x,y / z),x \ y). x * y != K(z \ u,z) * (u \ w) | x \ ((z * (u / z)) \ w) = y. (x \ y) \ ((z * (x / z)) \ y) = K(z \ x,T(z,x \ y)). T((x * (y / x)) \ z,K(x,x \ y)) = (y \ z) * K(x \ y,x). R(x,y,z) \ K(x,u) = (R(x,y,z) \ 1) * K(x,u). (R(x,y,z) \ 1) * K(x,u) = R(x,y,z) \ K(x,u). 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. ((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. T(x,a(y,z,y)) != u | u = x. a(x,y,x) \ z != u | u = z / a(x,y,x). a(x,y,x) \ z != u | z / a(x,y,x) = u. x != (T(y,z) * u) * K(y * u,y) | x = T(T(y,z) * u,y). T(x,y) * (z * K(x * z,x)) = T(T(x,y) * z,x). T(x,y) * (x \ T(x * z,x)) = T(T(x,y) * z,x). T(x,y) * R(x \ T(z,x),u,w) = T(T(x,y) * R(x \ z,u,w),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). T(T(x,x * y) * R(y,z,u),x) = T(x * R(y,z,u),x * y). x != T(T(y,y * z) * R(z,u,w),y) | x = R(z,u,w) * T(R(y,R(z,u,w),y),R(y,R(z,u,w),y) * z). T(x * R(y,z,u),x * y) = R(y,z,u) * T(R(x,R(y,z,u),x),R(x,R(y,z,u),x) * y). R(x,y,z) * T(R(u,R(x,y,z),u),R(u,R(x,y,z),u) * x) = T(u * R(x,y,z),u * x). R(x,y,z) * R(T(u,x * R(u,R(x,y,z),u)),R(x,y,z),u) = T(u * R(x,y,z),u * x). R(x,y,z) * R(T(u,u * x),R(x,y,z),u) = T(u * R(x,y,z),u * x). R(x,y,z) * R(T(u,x * u),R(x,y,z),u) = T(u * R(x,y,z),u * x). K(x,K(y,R(z,u,w) * (z \ y))) != v5 | K(x,K(y,R(z,u,w) \ z)) = v5. 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 / (y \ u)) | x = K(y,(u / z) \ y). K(x,T(y \ (x * z),z)) = K(x,(y / z) \ x). K(x,T(y \ (x * z),z)) * u != u * w | K(x,T(z / (x \ y),u)) = w. x * K(y,T((z / u) \ y,x)) = K(y,T(z \ (y * u),u)) * x. K(x,T(y \ (x * z),z)) * u = u * K(x,T((y / z) \ x,u)). K(x,T(y / (x \ z),u)) = K(x,T((z / y) \ x,u)). x * K(x,T((y / z) \ x,u)) = T(x,T(z / (x \ y),u)). T(x,T(y / (x \ z),u)) != w | T(x,T((z / y) \ x,u)) = w. K(x,T(y,z * u)) = K(x,T(y,z * (x \ u))). K(x,T(y,z * (x \ u))) = K(x,T(y,z * u)). K(1 / x,T(y,z)) = K(1 / x,T(y,z * x)). K(1 / x,T(y,z * x)) = K(1 / x,T(y,z)). x != K(y,T((R(y,z,u) \ w) \ v5,R(y,z,u) * (y \ v5))) | x = K(y,(R(y,z,u) * v5) / w). K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * w)) = K(x,(R(x,y,z) * w) / u). K(x,T((y * (x \ z)) \ u,y * z)) != w | K(x,u / (y * (x \ z))) = w. 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). R(a(x,y,x),x,z) = (z * R(x,y,x)) / (z * x). (x * R(y,z,y)) / (x * y) = R(a(y,z,y),y,x). R(x,K(y,T(z,u)),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,u),z * K(u,y)) * z. x != R(y,K(z,u),w * K(u,z)) * w | 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). x * y != a(z,u,z) * (w * z) | (w * R(z,u,z)) / y = x. (x * R(x \ y,z,x \ y)) / y = a(x \ y,z,x \ y). (x * R(y,z,y)) / (x * y) != u | u = a(y,z,y). (x * R(y,z,y)) / (x * y) != u | a(y,z,y) = u. a(x,y,x) * R(x,z,u) = (x \ R(x,z,u)) * R(x,y,x). (x \ R(x,y,z)) * R(x,u,x) = a(x,u,x) * R(x,y,z). a(x,y,x) = R(a(x,y,x),x,z). R(a(x,y,x),x,z) = a(x,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(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)). (x * (y * T(x,z))) \ ((x * y) * T(x,z)) = a(x,y * K(x,z),x). a(x,y,T(x,z)) = a(x,y * K(x,z),x). a(x,y * K(x,z),x) = a(x,y,T(x,z)). a(x,y,x) = a(x,y,T(x,z)). a(x,y,T(x,z)) = a(x,y,x). a(x,y,T(x,z)) != u | a(x,y,x) = u. (x * y) / L(z,z \ (y * x),K(x,y)) = K(x,y) * ((y * x) / z). x != K(y,L(z,y,u)) | x = K(y,z). K(x,y \ (x \ (y * z))) = K(x,x \ z). K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,(y \ ((1 / z) \ y)) \ (x \ ((1 / z) \ y))). K((x * (y * z)) \ ((x * y) * u),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)). a(x,T(y,x),x) != z | a(x,y,x) = z. T(x,L(y,x,z)) != u | T(x,y) = u. K(L(x,y,z),y) != u | K(x,y) = u. K(x,y) * ((K(z,z \ x) * y) * x) = x * (K(z,z \ x) * y). T(x,T(y / z,y)) != u | T(x,z \ y) = u. K(x,L(y,x,z)) != u | K(x,y) = u. L(K(x,y),z * x,u) != w | K(L(x,z,u),y) = w. 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. T(x,a(y,z,z \ 1) \ 1) = x. K(x,a(y,z \ 1,z) \ 1) = 1. T(x,R(y,z,z \ 1) \ y) = x. T(a(x,y \ 1,y) \ 1,z) = a(x,y \ 1,y) \ 1. (R(x,y,y \ 1) \ x) \ z = z / (R(x,y,y \ 1) \ x). x / (R(y,z,z \ 1) \ y) = (R(y,z,z \ 1) \ y) \ x. T(R(x,y,y \ 1) \ x,z) = R(x,y,y \ 1) \ x. 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)). x * L(K(y * z,z),y,u) != K(y * z,z) | 1 = x. 1 = a(x,y,K(y * z,z)). a(x,y,K(y * z,z)) = 1. x != K(y,K(z,u)) | x = K(K(w,z) * y,K(z,u)). K(x,K(y,z)) = K(K(u,x) * (K(x,w) * y),K(x,z)). K(K(x,y) * (K(y,z) * u),K(y,w)) = K(y,K(u,w)). K(x,K(y,z)) * K(x * K(y,u),K(y,w)) = K(x * K(y,u),K(y,z) * K(w,y)). T(x,K(y,z \ u)) != w | T(x,K(y,u \ z)) = w. a(x,y,x) * (z * x) != u | u = z * R(x,y,x). a(x,y,x) * (z * x) != u | z * R(x,y,x) = u. (x * ((y / z) / x)) * z = y * K(x,z \ (x \ y)). L(K(x,x \ (y \ z)),y \ z,y) != u | K(x,y \ (x \ z)) = u. K(x,y \ (x \ z)) = K(x,x \ (y \ z)). 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). K(x,y \ z) = K(x,x \ (y \ (x * z))). K(x,x \ (y \ (x * z))) = K(x,y \ z). K(L(x,y,z),L(x,y,z) \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). L(K(x,(y * z) \ u),w * x,v5) = K(L(x,w,v5),x \ ((y * (x \ z)) \ u)). K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) = L(K(x,(u * w) \ v5),y * x,z). K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) != v6 | K(L(x,y,z),(u * w) \ v5) = v6. 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). (K(x \ y,x) * z) * K(z,y) = T(K(x \ y,x) * z,y). K(x \ y,x) * T(z,y) = T(K(x \ y,x) * z,y). K(x,y) * T(z,x * y) = T(K(y \ (x * y),y) * z,x * y). T(K(x \ (y * x),x) * z,y * x) = K(y,x) * T(z,y * x). T(K(x,y) * z,x * y) = K(x,y) * T(z,x * y). K(x,y) * T(z,x * y) = T(K(x,y) * z,x * y). K(x,y) * z != T(K(x,y) * (u * K(y,x)),w) | z = T(u,w) * K(y,x). T(x * K(y,z),z * y) = T(x,z * y) * K(y,z). T(x,y * z) * K(z,y) = T(x * K(z,y),y * z). (x * (y * z)) * L(K(z,y),T(x,y * z),y * z) = (y * z) * T(x * K(z,y),y * z). (x * (y * z)) \ ((x * K(z,y)) * (y * z)) = L(K(z,y),T(x,y * z),y * z). 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). K(x,y) = L(K(x,y),z,y * x). L(K(x,y),z,y * x) = K(x,y). L(K(x,y),z,y * x) != u | K(x,y) = u. 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 * y) * (K(y,x) * z) = K(y,x) * ((x * y) * z). K(x,y) \ ((x * y) * z) = (y * x) * z. (x * y) \ (K(y,x) * z) = K(y,x) * ((x * y) \ z). x != (y * z) * (K(z,y) * u) | x = (z * y) * u. K(x,y) * ((y * x) * z) = (x * y) * z. (K(x,y) * z) / ((y * x) \ z) = x * y. (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. x * y != K(z,u) * ((u * z) * w) | x \ ((z * u) * w) = y. ((x * y) / x) \ ((x * y) * z) = y \ ((y * x) * z). K(x \ y,x) * (y * z) = ((x \ y) * x) * z. K(x,y / x) * (y * z) = (x * (y / x)) * z. K(x,y) * (y * (x * z)) = (x * y) * L(z,x,y). K(x,y) * ((y * R(x,z,u)) * x) = (x * y) * R(x,z,u). (K(x,y) * (y * (x * z))) \ ((x * y) * z) = L(a(y,x,z),y * (x * z),K(x,y)). K(T(x,y),z) * ((z * x) * y) = (T(x,y) * z) * T(y,x). K(x,y) * ((y * R(x,z,R(x,u,w))) * v5) = (R(x,z,R(x,u,w)) * y) * v5. K(x \ ((y * z) * u),y) = K(x \ ((z * y) * u),y). K(x \ ((y * z) * u),z) = K(x \ ((z * y) * u),z). (x * (K(y,x) * (y * z))) \ ((y * x) * z) = L(a(x,y,z),x * (y * z),K(y,x)). (x * (T(y,x) * z)) \ ((y * x) * z) = L(a(x,y,z),x * (y * z),K(y,x)). L(a(x,y,z),x * (y * z),K(y,x)) = (x * (T(y,x) * z)) \ ((y * x) * z). x * (K(y,x) * (y * z)) = (y * x) * L(z,y,x). x * (T(y,x) * z) = (y * x) * L(z,y,x). (x * y) * L(z,x,y) = y * (T(x,y) * z). L(x,T(y,z),z) = L(x,y,z). x * L(y,z,z \ x) = (z \ x) * (T(z,z \ x) * y). (x \ y) * (T(x,x \ y) * z) = y * L(z,x,x \ y). (x * (T(y,x) * z)) / L(z,y,x) = y * x. (x * y) \ (y * (T(x,y) * z)) = L(z,x,y). (x * y) \ (y * z) = L(T(x,y) \ z,x,y). L(T(x,y) \ z,x,y) = (x * y) \ (y * z). (x * y) \ (y * (x * z)) = L(K(y,x) * z,x,y). K(R(x,y,z),y) = K(x,y). x != K(y,R(T(z,u),y,u)) | x = ((z * y) * u) \ ((y * z) * u). K(x,T(y,z)) = ((y * x) * z) \ ((x * y) * z). ((x * y) * z) \ ((y * x) * z) = K(y,T(x,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). K(1 / x,T(y * x,z)) = K(1 / x,T(y / (1 / x),z)). K(1 / x,T(y / (1 / x),z)) = K(1 / x,T(y * x,z)). x != y | x = L(y,K(z,u),u * z). L(x,T(y,z),z) = L(L(x,y,z),K(u,w),w * u). L(L(x,y,z),K(u,w),w * u) = L(x,T(y,z),z). L(x,y \ z,y) = L(x,z / y,y). L(x,y / z,z) = L(x,z \ y,z). L(x,(y \ z) \ z,y \ z) = L(x,y,y \ z). 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)). R(K(x,y),(y * x) * z,u) = K(x,R(y,x * z,u)). L((x / y) \ z,y \ x,y) = (y * (x / y)) \ (y * z). 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(x,y * z,K(z,y)) = x. L(x,y * z,K(z,y)) = L(x,K(u,w),w * u). L(x,K(y,z),z * y) = L(x,u * w,K(w,u)). L(x,T(y,z) * z,K(z,y)) = x. L(x,K(y,z),z * y) != u | u = x. L(x,T(y,z),z) != u | u = L(x,y,z). L(x,T(y,z),z) != u | L(x,y,z) = u. 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 * z),y) = K((x / z) / y,y). K((x / y) / z,z) = K(x / (z * y),z). K(x \ (y / z),x) = K(y / (x * z),x). K(x / (y * z),y) = K(y \ (x / z),y). x != K(y / (z * u),z) | x = K(y / (u * z),z). K(x \ (y / z),x) = K(y / (z * x),x). K(x / (y * z),z) = K(z \ (x / y),z). x / (K(y \ (z / u),y) * x) = K(y,z / (y * u)). ((x * y) / x) / ((x * (y * K(y \ (z / u),y))) / x) = K(y,T(z / (y * u),x)). K(x,x \ (y / z)) = K(x,y / (x * z)). K(x,y / (x * z)) = K(x,x \ (y / z)). x != K(y,z / (y * (u * w))) | x = K(y,z / ((u * y) * w)). K(x,x \ (y / (z * u))) = K(x,y / ((z * x) * u)). K(x,y / ((z * x) * u)) = K(x,x \ (y / (z * u))). x != K(y,z / (y * 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)). x * K(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). 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)). 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 / (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,y / z) = K(x,x \ ((x * y) / z)). K(x,x \ ((x * y) / z)) = K(x,y / z). x != K(y,y \ (z / ((y \ u) * w))) | x = K(y,z / (u * w)). K(x,y / ((x \ z) * u)) = K(x,(x * y) / (z * u)). K(x,(x * y) / (z * u)) = K(x,y / ((x \ z) * u)). K(x,x \ ((y \ 1) \ (x * z))) = K(x,z / T(y \ 1,y * (x * z))). K(x,y / ((x \ z) * u)) != w | K(x,((z * u) / y) \ x) = w. x * K(R(x,y,z),y) = T(x,R(y,x,u)). T(x,R(y,x,z)) = x * K(R(x,y,u),y). 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)). 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)). 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). 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(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(T(K(x,y),z),u,w) = (R(K(x,y),u,w) \ z) \ z. (R(K(x,y),z,u) \ w) \ w = R(T(K(x,y),w),z,u). 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). ((K(x,y) * z) * u) \ (z * u) = R(T(K(y,x),z * u),z,u). ((K(x,y) * z) * u) \ (z * u) = R(K(y,T(x,z * u)),z,u). ((K(x,T(y,z)) * L(x,u,w)) * z) \ (L(x,u,w) * z) = R(K(y,L(x,z,L(x,u,w))),L(x,u,w),z). (L(x,y,z) * (K(x,T(u,w)) * w)) \ (L(x,y,z) * w) = R(K(u,L(x,w,L(x,y,z))),L(x,y,z),w). (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) = R(K(w,L(x,u,L(x,y,z))),L(x,y,z),u). K(x,y) = R(K(x,L(y,z,L(y,u,w))),L(y,u,w),z). R(K(x,L(y,z,L(y,u,w))),L(y,u,w),z) = K(x,y). R(K(x,y),L(y,z,u),w) = K(x,y). 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. 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 * K(y,z)) * (z * y) = x * (y * z). 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) = (x / (z * y)) * K(z,y). (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. R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,T(x,K(y,z))) = T(K(z,y),T(x,K(y,z))). R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,x) = T(K(z,y),T(x,K(y,z))). x != T(K(y,z),T(u,K(w,y))) | 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)). T(x,x * K(y,z)) \ T(K(z,y) * x,x) = K(z,T(y,x)). T(x,x * K((y * z) \ (u * w),w)) \ T(K(w,(y * (w \ z)) \ u) * x,x) = K(w,T((y * (w \ z)) \ u,x)). T(x,x * K((y * z) \ (u * w),w)) \ T(K(w,(y * z) \ (u * w)) * x,x) = K(w,T((y * (w \ z)) \ u,x)). 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). 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). 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(x,L(x \ y,x,z)) = T(x,z \ (x \ (z * y))). T(x,x \ y) = T(x,z \ (x \ (z * y))). T(x,y \ (x \ (y * z))) = T(x,x \ z). (((x * K(y,z)) * R(z,u,w)) / (x * K(y,z))) * x = (x * (K(y,z) * R(z,u,w))) / K(y,z). (((x * K(y,z)) * R(z,u,w)) / (x * K(y,z))) * x = (x * (K(y,z) * R(z,u,w))) * K(z,y). ((x * (K(y,z) * R(z,u,w))) / (x * K(y,z))) * x = (x * (K(y,z) * R(z,u,w))) * K(z,y). R((x * (K(y,z) * z)) / (x * K(y,z)),u,w) * x = (x * (K(y,z) * R(z,u,w))) * K(z,y). R((x * (y * K(z,y))) / (x * K(z,y)),u,w) * x = (x * (K(z,y) * R(y,u,w))) * K(y,z). 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,T(x \ (y / z),u)) = K(x,T(y / (x * z),u)). K(x,T(y / (x * z),u)) = K(x,T(x \ (y / z),u)). K(x,(x * y) \ z) = K(x,T(x \ (z / y),z)). K(x,T(x \ (y / z),y)) = K(x,(x * z) \ y). x != K(y,(y * z) \ u) | x = K(y,z \ (y \ u)). K(x,T(x \ (y / z),y)) = K(x,z \ (x \ y)). K(x,T(x \ y,z)) = K(x,(y \ z) \ (x \ z)). K(x,(y \ z) \ (x \ z)) = K(x,T(x \ y,z)). x != K(y,(z \ ((1 / u) \ z)) \ (y \ ((1 / u) \ z))) | x = K(y,L(y \ T(z,u),y,z \ ((1 / u) \ z))). K(x,T(x \ y,(1 / z) \ y)) = K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))). K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(1 / z) \ y)). K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(z \ 1) \ y)). x != K(y,T(y \ z,u \ z)) | x = K(y,T(y \ z,u)). K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z \ 1)). x != K(y,T(z,u \ 1)) | x = K(y,T(z,u)). K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z)). K(x,x \ T(y,z)) = K(x,T(x \ y,z)). K(x,x \ T(y,z)) = K(T(x,z),x \ y). K(T(x,y),x \ z) = K(x,x \ T(z,y)). x != K(y,y \ T(z,u)) | x = K(K(z,u) * y,y \ z). K(x,T(x \ y,z)) = K(K(y,z) * x,x \ y). K(K(x,y) * z,z \ x) = K(z,T(z \ x,y)). x * K(x,T(x \ y,z)) = T(x,x \ T(y,z)). K(x,T(x \ y,z)) * T(y,z) = x * (T(y,z) / x). T(x,y) * K(z,T(z \ x,y)) != u | z * (T(x,y) / z) = u. K(x,T(x \ y,z)) * (K(y,z) * x) = T(K(y,z) * x,x \ y). x != K(y,T(y \ z,u)) * (K(z,u) * y) | x = T(y,y \ z) * K(z,u). T(K(x,y) * z,z \ x) = T(z,z \ x) * K(x,y). T(x,x \ y) * K(y,z) = T(K(y,z) * x,x \ y). (x \ y) * T(K(y,z) * x,x \ y) = (y / x) * (x * K(y,z)). (K(x,y) * z) * (z \ x) = (x / z) * (z * K(x,y)). (R(x,y,z) \ ((R(x,y,z) * u) / R(x,y,z))) \ u = R(((x * K(u,x)) \ u) \ u,y,z). R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u))) \ y. x != (y \ ((y * z) / y)) \ z | 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). (x / R(y,z,u)) * R((y \ w) \ T(w,y),z,u) = x * a(R(y,z,u),R(y,z,u) \ w,R(y,z,u)). (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(R(y,z,u),R(y,z,u) \ (w * y),R(y,z,u)). x * a(R(y,z,u),R(y,z,u) \ (w * y),R(y,z,u)) = (x / R(y,z,u)) * R(R(y,w,y),z,u). K(x,K(y,z \ (u * x))) = K(x,K(y,z \ u)). x != K(y,K(z,u \ w)) | x = K(y,K(z,w \ u)). K(x,K(y,z \ (u * x))) = K(x,K(y,u \ z)). 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)). 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)). 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,y) * K(x,K(y,z \ u)) = K(x,T(y,(x \ z) \ u)). L(x,y,x) * R(K(x,z),u,w) = L(x * R(K(x,z),u,w),y,x). R(K(x,y),z,u) * L(x,w,x) = L(x * R(K(x,y),z,u),w,x). 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). 1 / (x \ K((y * z) \ (x \ u),x)) = T(x,(y * (x * 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)). L(T(x,(y * z) \ (x \ ((y * z) * u))),z,y) = T(L(x,z,y),L(x,z,y) \ u). 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). x / L(T(y,y \ x),z,u) = L(y,z,u) \ x. (L(x,y,z) \ u) / (L(T(x,x \ w),y,z) \ u) = K(L(x,y,z),L(x,y,z) \ w). 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). x != K(L(y,z,u),L(y,z,u) \ ((w * (y \ (1 / L(y,z,u)))) \ v5)) | x = K(L(y,z,u),(w * (1 / y)) \ v5). K(L(x,y,z),x \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). K(x,L(y,z,u)) * K(L(y,z,u),y \ x) = a(L(y,z,u),L(y,z,u) \ x,L(y,z,u)). a(L(x,y,z),L(x,y,z) \ u,L(x,y,z)) = K(u,L(x,y,z)) * K(L(x,y,z),x \ u). K(L(x,y,z),(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(L(y,z,u),L(y,z,u) * (w \ L(K(y,v5),v6,v7))) | x = K(L(y,z,u),T(w \ L(y,z,u),L(K(y,v5),v6,v7))). K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))) = K(L(x,y,z),T(u \ L(x,y,z),L(K(x,w),v5,v6))). K(L(x,y,z),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. K(x,L((y \ z) \ z,u,w)) != v5 | K(x,L(T(y,z),u,w)) = v5. 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 * (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,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 / y) * R(y,z,y) = x * a(y,z,L(y,u,w)). a(x,y,x) = a(x,y,L(x,z,u)). a(x,y,L(x,z,u)) = a(x,y,x). K(x,y) * a(y,x,y) = K(x * L(y,z,u),y). K(x * L(y,z,u),y) = K(x,y) * a(y,x,y). x != K(y,z) * a(z,y,z) | x = K(z * y,z). K(x * L(y,z,u),y) = K(y * x,y). x != K((L(y,z,u) \ w) * L(y,z,u),y) | x = K(w,y). K(x * (L(x,y,z) \ u),x) = K(u,x). 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). x != K(y * (z \ 1),y) | x = K(z \ y,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). 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 * y) \ u),y) | x = K(z \ u,y). 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(L(x,y,z),u) = K(x,L(u,x * y,z)). K(x,L(y,x * z,u)) = K(L(x,z,u),y). 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). K(x,L(y,z,u)) = K(x,L(y,y * z,u)). K(x,L(y,y * z,u)) = K(x,L(y,z,u)). K((x * (y / z)) \ (x * y),u) = K(z,L(u,y,x)). K((x * y) \ z,u) = K(y \ (x \ z),L(u,x \ z,x)). K(x \ (y \ z),L(u,y \ z,y)) = K((y * x) \ z,u). K((x * y) \ (x * z),u) = K(y \ z,L(u,z,x)). K(L(x,y,z) \ 1,u) = K(x \ 1,L(u,y,z)). K(x,(y * z) / (y * u)) = L(K(x,T(u \ z,y * u)),u,y). L(K(x,T(y \ z,u * y)),y,u) = K(x,(u * z) / (u * y)). x != L(K(y,z),u,w) | x = K(y,L(z,z \ u,w)). K(x,L(y,z,u)) = K(x,L(y,y \ z,u)). K(x,L(y,y \ z,u)) = K(x,L(y,z,u)). x != L(K(y,z),u,w) | x = K(y,z) * a(w,u,K(z,y)). K(x,L(y,z,u)) = K(x,y) * a(u,z,K(y,x)). K(x,y) * a(z,u,K(y,x)) = K(x,L(y,u,z)). x != L(K(y,T(z,u)),u,w) | x = K(y,(w * (z \ u)) \ (w * u)). K(x,L(T(y,z),z,u)) = K(x,(u * (y \ z)) \ (u * z)). K(x,(y * (z \ u)) \ (y * u)) = K(x,L(T(z,u),u,y)). x != L(K(y,z),u,w) | x = K(y,L(z,u / z,w)). K(x,L(y,z,u)) = K(x,L(y,z / y,u)). K(x,L(y,z / y,u)) = K(x,L(y,z,u)). x != L(K(y,z / u),z,w) | x = K(y,L(z / u,u,w)). K(x,L(y / z,y,u)) = K(x,L(y / z,z,u)). K(x,L(y / z,z,u)) = K(x,L(y / z,y,u)). K(x,L((y \ z) \ u,u,y)) = K(x,z \ (y * u)). x != L(K(y,z \ 1),u,w) | x = K(y,L(z,u,w) \ 1). K(x,L(y \ 1,z,u)) = K(x,L(y,z,u) \ 1). K(x,L(y,z,u) \ 1) = K(x,L(y \ 1,z,u)). (x * y) * K(z,L(u,y,x)) = x * (y * K(z,u)). L(K(x,y \ (z \ u)),y,z) = K(x,(z * y) \ u). 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((z \ y) \ 1,u,w)). K(x,L((y \ z) \ 1,u,w)) = L(K(x,z \ y),u,w). K(x \ (y \ z),L(u,y \ z,y)) != w | K((y * x) \ z,u) = w. K(x,L(y \ (z \ u),z \ u,z)) != w | K(x,(z * y) \ u) = w. K(x,K(y,L(z,u,w))) * y = T(y,L(K(x,z),u,w)). K(x,y) * K(y,L(x,z,u)) = a(u,z,K(x,y)). 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)). a(x,y,K(z,u)) * (K(z,L(u,y,x)) * w) = K(z,u) * w. L(a(x,y,K(z,u)),w,v5) = a(x,y,K(z,L(u,w,v5))). K(x,L(y,z,u)) * a(u,z,K(x,y)) = K(x,y). L(K(x,T(y \ 1,z)),u,w) = K(x,L(T(y,z) \ 1,u,w)). x * (y * K(z,T(u,x * y))) = K(z,L(u,y,x)) * (x * y). T(L(K(x,y),z,u) \ w,K(x,L(y,z,u))) = w / L(K(x,y),z,u). L(K(x,T(y / z,u)),w,v5) = K(x,L(T((z / y) \ 1,u),w,v5)). K(x,L(T((y / z) \ 1,u),w,v5)) = L(K(x,T(z / y,u)),w,v5). L(K(x \ (y \ z),y),u,w) = K((y * x) \ z,L(y,u,w)). (x * y) * K(z,L(u,x,y)) = y * (T(x,y) * K(z,u)). a(x,y,K(z,u)) * K(u,z) = K(u,L(z,y,x)). K(x,y) * K(L(y,z,u),x) = a(u,z,K(x,y)). K(x,y) != z * K(x,L(y,u,w)) | a(w,u,K(x,y)) = z. x * K(y,L(z,u,w)) != K(y,z) | a(w,u,K(y,z)) = x. 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. 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)). a(x,y,K(z,u)) * K(u,z) != w | w = K(u,L(z,y,x)). a(x,y,K(z,u)) * K(u,z) != w | K(u,L(z,y,x)) = w. K(x,y) * z != a(u,w,K(x,y)) | z = L(K(y,x),w,u). K(L(x,y,z),u) = L(K(x,u),y,z). L(K(x,y),z,u) = K(L(x,z,u),y). 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)). L(K(x,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). x != L(K(y,z),u,w) | x = K(y,L(z,u,w)). K(L(x,y,z),u) = K(x,L(u,y,z)). (x * y) * K(L(z,y,x),u) = x * (y * K(z,u)). K(L(K(x,y),z,u),w) = K(w,K(y,L(x,z,u))). K(x,L(K(y,z),u,w)) = K(x,K(z,L(y,u,w))). L(K(x,K(y,z)),u,w) != v5 | K(y,K(z,L(x,u,w))) = v5. K(L(x,y,z),u) * a(z,y,K(x,u)) = K(x,u). K(L(K(x,y),z,u),w) = K(y,K(w,L(x,z,u))). K((x * y) \ z,T(u,y)) = K((x \ z) / y,L(u,y,x)). K((x \ y) / z,L(u,z,x)) = K((x * z) \ y,T(u,z)). x != K(y,T(z,u)) | x = (K(z,y) * u) \ u. K(x,L(T(y,z),u,w)) = (K(y,L(x,u,w)) * z) \ z. (K(x,L(y,z,u)) * w) \ w = K(y,L(T(x,w),z,u)). x != K(L(y,y \ z,u),w) | x = K(y,L(w,z,u)). K(x,L(y,x \ z,u)) = K(x,L(y,z,u)). x != K(L(y \ z,y,u),T(w,u * y)) | x = K((u * z) / (u * y),w). K(x \ y,L(T(z,u * x),x,u)) = K((u * y) / (u * x),z). K(x * y,z) = K((x \ 1) \ y,L(z,x \ 1,x)). K((x \ 1) \ y,L(z,x \ 1,x)) = K(x * y,z). K(x \ (y * z),u) = K((y \ x) \ z,L(u,y \ x,y)). K((x \ y) \ z,L(u,x \ y,x)) = K(y \ (x * z),u). (x * ((x \ y) * z)) * K(z,L(y,x \ y,x)) = (y \ (x * ((x \ y) * z))) * y. K(x \ (y * (z * (y \ x))),u) = K(T(z,y \ x),L(u,y \ x,y)). K(T(x,y \ z),L(u,y \ z,y)) = K(z \ (y * (x * (y \ z))),u). (L(x,y,z) \ u) * K(x,L(u / L(x,y,z),y,z)) = u / L(x,y,z). (x * y) / (K(z,L(x,u,w)) * y) = T(x,L(z,u,w)). K(x,K(y,L(z,u,w))) = K(z,K(x,L(y,u,w))). K(x,K(y,L(z,u,w))) = K(x,K(z,L(y,u,w))). K(x,K(y,L(z,u,w))) != v5 | K(x,K(z,L(y,u,w))) = v5. (x / y) * K(z,L(y,u,w)) != v5 | x / T(y,L(z,u,w)) = v5. K((x \ y) / z,L(u,z,x)) != w | K((x * z) \ y,T(u,z)) = w. x != y * K(z,u) | x = T(K(z,u) * y,K(z,u)). x * (y * K(z,u)) = T(K(z,L(u,y,x)) * (x * y),K(z,L(u,y,x))). T(K(x,L(y,z,u)) * (u * z),K(x,L(y,z,u))) = u * (z * K(x,y)). x * (y * K(z,u)) != (x * y) * w | K(z,L(u,y,x)) = w. (x * y) * z != x * (y * K(u,w)) | K(u,L(w,y,x)) = z. (x * y) * K(z,(x * y) \ u) = x * (y * K(z,y \ (x \ u))). (x * (x \ y)) * K(z,y \ (x * u)) = x * ((x \ y) * K(z,(x \ y) \ u)). (x \ L(x,y,z)) * K(u,L(w,x \ 1,L(x,y,z))) = L(x,y,z) * ((x \ 1) * K(u,w)). (x * (y * z)) * K(u,L(z \ 1,y * z,x)) = x * (y * (z * K(u,z \ 1))). (x * (y * K(z,u))) \ (x * (y * u)) = T(L(u,y,x),z). (x * (y * K(z,u))) \ (x * (y * u)) = L(T(u,z),y,x). (x * (y * z)) / T(L(z,y,x),u) = x * (y * K(u,z)). L(T(x,y),z * K(y,x),u) = L(T(x,y),z,u). L(x,y * K(z,x * K(z,x)),u) = L(T(x * K(z,x),z),y,u). L(x,y * K(z,x),u) = L(T(x * K(z,x),z),y,u). L(T(x * K(y,x),y),z,u) = L(x,z * K(y,x),u). L(x,y,z) = L(x,y * K(u,x),z). L(x,y * K(z,x),u) = L(x,y,u). L(x,y,z) = L(x,y * K(x,u),z). L(x,y * K(x,z),u) = L(x,y,u). L(x,y,z) = L(x,K(x,u) * y,z). L(x,K(x,y) * z,u) = L(x,z,u). L(x,K(y,x) * z,u) = L(x,z,u). L(x,T(y,K(x,z)),u) = L(x,y,u). L(x,y / L(x,z,u),w) = L(x,L(x,z,u) \ 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)). a(x,y,K(z,u)) != w | K(z,u) * K(u,L(z,y,x)) = w. 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,K(z,u)) != w | K(u,L(z,y,x)) * K(z,u) = w. ((x * y) / x) * K(y,L(x,z,u)) = y * a(u,z,K(x,y)). K(x,y) * a(z,u,K(y,x)) != w | w = K(x,L(y,u,z)). K(x,y) * a(z,u,K(y,x)) != w | K(x,L(y,u,z)) = w. K(x,L(y,z,u)) * K(y,x) != w | w = a(u,z,K(y,x)). K(x,L(y,z,u)) * K(y,x) != w | a(u,z,K(y,x)) = w. (x * y) * a(z,u,K(w,L(v5,y,x))) = x * (y * a(z,u,K(w,v5))). (x * y) * a(z,u,K(w,L(v5,y,x))) != v6 | x * (y * a(z,u,K(w,v5))) = v6. (x * y) * K(z,K(u,L(w,y,x))) = x * (y * K(w,K(z,u))). L(K(x,y),z,u) != w | K(x,L(y,z,u)) = w. x != T(y,L(z,u,w)) * K(z,v5) | x = T(y * K(z,v5),L(z,u,w)). x * a(y,z,K(u,x)) = T(x * K(u,x),L(u,z,y)). T(x * K(y,x),L(y,z,u)) = x * a(u,z,K(y,x)). T(x * a(y,z,K(u,x)),u) = T(x,L(u,z,y)). T(x * a(y,z,K(u,x)),x * u) = L(T(x,L(u,z,y)),u,x). x != a(y,z,K(u,w)) | x = K(w,L(u,z,y)) * K(u,w). a(x,y * z,K(u,z)) = K(z,L(u,y,x)) * K(u,z). K(x,L(y,z,u)) * K(y,x) = a(u,z * x,K(y,x)). 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)). L(x,y,z) \ ((u / x) \ (L(x,y,z) * (x \ u))) = x \ (x * a(z,y,K(x \ u,x))). x != K(y * (z \ (y \ u)),y) | x = K(z \ u,y). K(x \ y,x) = K(L(x,z,u) \ y,x). K(L(x,y,z) \ u,x) = K(x \ u,x). T(x * K(y,x),x * (L(x,z,u) \ y)) = x. T(x,y) = T(x,x * (L(x,z,u) \ y)). T(x,x * (L(x,y,z) \ u)) = T(x,u). T(x,x * y) = T(x,L(x,z,u) * y). T(x,L(x,y,z) * u) = T(x,x * u). T(x,L(x,y,z) * (x \ u)) = T(x,u). L(K(x,K(y,z)),u,w) != v5 | K(x,K(z,L(y,u,w))) = v5. K(x / L(y,z,u),y) = K(y \ x,y). x != L(K(y,z),R(y,u,w),v5) | x = K(y,z). K(x,(y * R(x,z,u)) \ w) = K(x,R(x,z,u) \ (y \ w)). (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). 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,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 \ 1,u)) = a(x,y,K(z \ u,u)). a(x,y,K(z,z \ u)) = a(x,y,K(u,z \ u)). a(x,y,K(z,u \ z)) = a(x,y,K(u,u \ z)). a(x,y,K(z,u)) = a(x,y,K(z * u,u)). a(x,y,K(z * u,u)) = a(x,y,K(z,u)). a(x,y,K(z * u,z)) \ K(w,z) = K(w,z) * a(x,y,K(z,u)). a(x,y,K(z \ u,w)) = a(x,y,K(z \ (w \ u),w)). a(x,y,K(z \ (u \ w),u)) = a(x,y,K(z \ w,u)). a(x,y * z,K(u,z)) != w | a(x,y,K(u,z)) = w. K(L(x,y,z) \ 1,u) != w | K(x \ 1,L(u,y,z)) = w. K((x * y) \ (x * z),u) != w | K(y \ z,L(u,z,x)) = w. K(L(x,y / x,z),u) != w | K(x,L(u,y,z)) = w. K(x,(y * ((y \ z) / u)) \ z) != w | K(x,L(u,y \ z,y)) = w. K(x,L(y \ z,y,u)) != w | K(x,L(y \ z,z,u)) = w. K(x,L(y,y \ z,u)) != w | K(x,L(y,z,u)) = w. K(L(x,y,z),u) != w | K(x,L(u,y,z)) = w. K(x,(R(x,y,z) * u) \ w) = K(x,R(x,y,z) \ (u \ w)). K(x,R(x,y,z) \ ((x \ u) \ w)) != v5 | K(x,x * ((R(x,y,z) * u) \ w)) = v5. 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,K(y,L(z,u,w))) = K(x,K(z,L(y,u * z,w))). K(x,K(y,L(z,u * y,w))) = K(x,K(z,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))). K(x,K(y / z,(u * y) \ K(u,1 / u))) = K(x,K(y \ (1 / u),L(y / z,z,u))). K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(y / u,(z * y) \ K(z,1 / z))). a(x,y,K(z,u \ y)) != w | a(x,u,K(z,u \ y)) = w. K(x,K(y \ (z \ u),L(w,y,z))) = K(w,K(x,(z * y) \ u)). K(x \ 1,L(y,z,u)) * (L(x,z,u) \ 1) = T(L(x,z,u) \ 1,y). (x * y) / (K(z \ 1,L(x,u,w)) * y) != v5 | T(x,L(z,u,w) \ 1) = v5. L(x,y,z) \ L(T(x,u),y,z) != w | K(x,L(u,y,z)) = w. K(x,K(L(y,z,u),w)) != v5 | K(x,K(y,L(w,z,u))) = v5. T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w / L(K(y,x),z,u). x != y / L(K(z,u),w,v5) | 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. 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). x * R(K(x,x * y),z,u) = T(x,R(y \ 1,z,u) \ x). T(x,R(y \ 1,z,u) \ x) = x * R(K(x,x * y),z,u). x != K(y,z) * ((z * R(y,u,R(y,w,v5))) * v6) | x = (R(y,u,R(y,w,v5)) * z) * v6. (x * y) * R(x,z,R(x,u,w)) = (R(x,z,R(x,u,w)) * y) * x. (R(x,y,R(x,z,u)) * w) * x = (x * w) * R(x,y,R(x,z,u)). 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. L(x,T(x,y) \ z,u) = L(x,x \ z,u). R(K(x,R(y \ 1,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). x \ ((x / y) * (y * z)) = L(z,y,y \ x). (x / y) * (y * z) = x * L(z,y,y \ x). x * L(y,z,z \ x) = (x / z) * (z * y). x \ (y * (x / z)) = L(z \ T(y,x / z),z,z \ x). L(x \ T(y,z / x),x,x \ z) = z \ (y * (z / x)). K(x,y * K(1 / y,z * y)) = T(K(x,y),z / (1 / y)). 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,1 / (y / (y / (1 / z)))) = K(x,T(z,y)). K(x \ ((y * x) * z),x) * (((x * y) * z) / x) = x \ ((x * y) * z). K(x,K(y,(z * (u * y)) \ w)) = K(x,K((u * y) \ (z \ w),L(y,u,z))). K(x,K((y * z) \ (u \ w),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). K(x \ (y \ z),L(y,u,w)) = K((x * y) \ z,L(y,u,w)). K((x * y) \ z,L(y,u,w)) = K(x \ (y \ z),L(y,u,w)). K(L(x \ y,x,z),L(x,u,w)) = K(z \ (x \ (z * y)),L(x,u,w)). K(x,K(y \ (z \ (u \ w)),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). 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 != L(y,T(y,z) \ u,w) | x = L(y,y \ u,w). L(x,y / T(x,z),x) = L(x,x \ y,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),x \ T(z,x),x) = L(T(x,y),x \ z,x). L(T(x,y),T(x,z) \ u,x) = L(T(x,y),x \ u,x). L(T(x,y),T(z / T(x,u),x),x) = L(T(x,y),x \ z,x). L(T(x,y),z / T(x,u),x) = L(T(x,y),x \ z,x). K(x \ y,R(x,z,u)) = K(R(x,z,u) \ y,R(x,z,u)). K(R(x,y,z) \ u,R(x,y,z)) = K(x \ u,R(x,y,z)). T(R(x,y,z) * K(x \ u,R(x,y,z)),u) = L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)). T(R(x * K(x \ y,x),z,u),y) = L(R(x,z,u),R(x,z,u) \ y,R(x,z,u)). 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). x != R(L(y,z,u),w,v5) | x = L(R(y,w,v5),z,u). L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = L(R(x,y,z),x \ u,x). (L(R(x,y,z),x \ u,x) * u) \ (R(x,y,z) * u) = a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)). a(R(x,y,z),R(x,y,z) \ u,T(R(x,y,z),u)) = (L(R(x,y,z),x \ u,x) * u) \ (R(x,y,z) * u). x != (L(y,z \ u,z) * u) \ (y * u) | 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)). 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. x != K(y \ (z * L(u,w,v5)),u) | x = K(u * (y \ z),u). K(x * (y \ L(y,z,u)),y) = K(y * (y \ x),y). K(x \ (y * (x * z)),x) = K(y * z,x). K(x \ y,x) = K(z * (x \ (z \ y)),x). K(x * (y \ (x \ z)),y) = K(y \ z,y). x / L(y,z,u) = L(x / (x / y),z,u) \ x. L(x / (x / y),z,u) \ x = x / L(y,z,u). x / (x / L(y,z,u)) = L(x / (x / y),z,u). T(x / (x / L(y,z,u)),x / y) = L((x / y) \ x,z,u). K(x,L(y / (y / z),u,w)) = K(x,T(L(z,u,w),y)). T(x / (x / L(y,z,u)),x / y) = L(y,z,u). T(L(x,y,z),u) = T(T(w / (w / L(x,y,z)),u),w / x). T(T(x / (x / L(y,z,u)),w),x / y) = T(L(y,z,u),w). 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,K(u,w))) != v5 | K(z,K(w,L(u,y,x))) * K(z,K(u,w)) = v5. K(x,y) \ (K(L(y,z,u),x) * (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). K(x,y) \ (K(y,L(x,z,u)) * (w * K(x,y))) = L(K(x,y),z,u) \ T(w,K(x,y)). K(x,y) \ (T(y,L(x,z,u)) * K(x,y)) = L(K(x,y),z,u) \ T(y,K(x,y)). K(x,y) \ (y * a(z,u,K(x,y))) = L(K(x,y),u,z) \ T(y,K(x,y)). L(K(x,y),z,u) \ T(y,K(x,y)) = K(x,y) \ (y * a(u,z,K(x,y))). L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = K(x * y,y) \ (y * a(u,z,K(x,y))). x != K(y,z) \ (z * u) | 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)). R(L(T(x,y),x \ z,x),u,w) = L(R(T(x,y),u,w),x \ T(z,x),x). L(R(T(x,y),z,u),x \ T(w,x),x) = R(L(T(x,y),x \ w,x),z,u). L(R(T(x,y),z,u),x \ T(w,x),x) = L(R(T(x,y),z,u),x \ w,x). (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)). T(R(x,y,z) * K(u * x,R(x,y,z)),u) = R(R(x,y,z),u,L(R(x,y,z),w,v5)). T(R(x * K(y * x,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). T(R(x * K(x * y,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). R(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). (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)). R(R(x,y,x),z,u) * (z * u) = (R(x,y,R(x,z,u)) * z) * u. (R(x,y,R(x,z,u)) * z) * u = R(R(x,y,x),z,u) * (z * u). (R(x,y,R(x,z,u)) * z) * u = (R(x,y,x) * z) * u. (R(T(x,y),z,R(x,u,w)) * u) * w = (R(T(x,y),z,T(x,y)) * u) * w. (R(T(x,y),z,T(x,y)) * u) * w = (R(T(x,y),z,R(x,u,w)) * u) * w. ((R(x,y,x) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). a(R(x,y,z),u,R(x,y,z)) != w | R(a(x,u,x),x * y,z) = w. (x * (y * (K(z,y) \ (y \ u)))) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). (x * (y * (K(y,z) * (y \ u)))) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). (x * (K(y,z) * u)) * K(z,L(y,K(z,y) \ (y \ u),x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). (x * (K(y,z) * u)) * K(z,L(y,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). L(x,y,z) = L(x,y,T(z,y)). L(x,y,T(z,y)) = L(x,y,z). L(x,y,y \ z) = L(x,y,z / y). L(x,y,z / y) = L(x,y,y \ z). L(T(x,y),K(x,z) * u,w) = L(T(x,y),u,w). T(x,x \ y) / T(y,y \ x) = y \ T(x,x \ y). (x * y) * (K(y,x) * z) != u | u = (y * x) * z. (x * y) * (K(y,x) * z) != u | (y * x) * z = u. L(x * K(y \ (x * z),x),u,w) / L(x,u,w) = K((x \ y) \ z,L(x,u,w)). K(x \ (y * z),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). K(x,y \ (z * x)) = K(x,(y / x) \ z). K(x,(y / x) \ z) = K(x,y \ (z * x)). K(x,x \ (y * (z * x))) = K(x,y * z). x != K((y * z) \ u,z) | x = K((z * y) \ u,z). K(x \ (y \ z),x) = K((x * y) \ z,x). K((x * y) \ z,x) = K(x \ (y \ 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) \ (y \ u),y) | x = K(z \ u,y). K(x \ ((x \ y) \ z),x) = K(y \ z,x). ((x * (K(y,z) * u)) / (x * T(u,K(y,z)))) \ T(x * (K(y,z) * u),K(z,L(y,u,x))) = T(x * (K(y,z) * u),L(K(z,y),u,x)) * L(K(z,y),u,x). a(x,y * z,K(u,K(w,z))) = a(x,y,K(z,K(u,w))). K(x * (y * K(z,u)),u) != w | K(x * y,u) = w. (x * y) / T(x,L(y,z,u)) = y * a(u,z,K(x,y)). (x * L(y,x,y)) / T(T(x,y),L(T(y,x * y),z,u)) = T(y,x * y) * a(u,z,K(T(x,y),T(y,x * y))). (x * L(y,x,y)) / T(T(x,y),L(T(y,x),z,u)) = T(y,x * y) * a(u,z,K(T(x,y),T(y,x * y))). (x * L(y,x,y)) / T(T(x,L(y,z,u)),y) = T(y,x * y) * a(u,z,K(T(x,y),T(y,x * y))). T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = (y * L(x,y,x)) / T(T(y,L(x,u,z)),x). T(x,y * x) * a(z,u,K(T(y,x),T(x,y * x))) = (y * L(x,y,x)) / T(T(y,x),L(x,u,z)). x != (y * L(z,u,z)) / T(T(y,z),w) | 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 != L(T(y,L(z,u,w)),z,y) | x = T(y * a(w,u,K(z,y)),y * z). T(x,L(y * x,z,u)) = T(x * a(u,z,K(y,x)),x * y). T(x * a(y,z,K(u,x)),x * u) = T(x,L(u * x,z,y)). 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)). 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,L(u,w,v5))) = K(x,K(y \ (z / u),L(u,w,v5))). K(x,K(y \ (z / u),L(u,w,v5))) = K(x,K(y \ z,L(u,w,v5))). K(x,K(y \ (z \ u),L(z,w,v5))) = K(x,K(y \ u,L(z,w,v5))). 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 / y,(z / (y * (x / y))) * u) = K(x / y,(z / x) * u). K(x,(y * (z * u)) \ (y * z)) = K(x,L(u \ 1,z,y)). T(1 / L(x,y,z),u) \ 1 = L(x,y,z) * K(u,L(x \ 1,y,z)). L(x,y,z) * K(u,L(x \ 1,y,z)) = T(1 / L(x,y,z),u) \ 1. (x * y) \ ((x * (y * z)) * K(u,L(z \ 1,y,x))) = L(z,y,x) * K(u,(x * (y * z)) \ (x * y)). (x * y) \ ((x * (y * z)) * K(u,L(z \ 1,y,x))) = L(z,y,x) * K(u,L(z \ 1,y,x)). x != L(y,z,u) * K(w,L(y \ 1,z,u)) | x = T(1 / L(y,z,u),w) \ 1. (x * y) \ ((x * (y * z)) * K(u,L(z \ 1,y,x))) = T(1 / L(z,y,x),u) \ 1. K((x / y) \ z,y) != u | K(y * (x \ z),y) = u. x != (y * (((z * u) / z) / y)) * z | x = z * (y * (u / y)). (x * y) * K(z,x \ (z \ (x * y))) = x * (z * (y / z)). x * K(y,z \ (y \ x)) = z * (y * ((z \ x) / y)). x * y != (x * z) * (u * (((x * z) \ x) / u)) | y = K(u,z \ (u \ 1)). K(x,(y * z) \ (x \ y)) = K(x,z \ (x \ 1)). K(x / y,((x / (x / y)) / x) * z) = K(x / y,(y / x) * z). ((x \ y) * x) * (y \ z) = K(x \ y,x) * z. K(L(x,y,x),z) = K(x,T(T(z,u),u * x)). x != K(y,T(T(z,u),u * y)) | x = K(T(u * y,y) / u,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). K(T(x,y) / (x / y),z) = K(y,z). K(x \ y,z \ y) * (y / x) = T(T(T(y,x \ y) / x,y),y / z). T(T(T(x,y \ x) / y,x),x / z) = K(y \ x,z \ x) * (x / y). x != K(y \ z,u) * (z / y) | 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)). K(x \ (y * z),L(y,u,w)) = K((y \ x) \ z,L(y,u,w)). K((x \ y) \ z,L(x,u,w)) = K(y \ (x * z),L(x,u,w)). (x * y) / T(L(z,y / z,x),u) = x * ((y / z) * K(u,z)). (x * y) / T(L(z,z \ y,x),u) = x * ((y / z) * K(u,z)). (x * y) / T(L(z,z \ y,x),u) = x * (y / T(z,u)). x * K(y,z) != a(u,w,K(y,z)) | x = K(z,L(y,w,u)). K(x,L(y,z,u)) = K(x,L(y,z * x,u)). K(x,L(y,z * x,u)) = K(x,L(y,z,u)). K(x \ y,L(z,y,u)) = K(x \ y,L(z,x,u)). K(x \ 1,L(y,z,u)) = K((z * x) \ z,L(y,z * x,u)). K((x * y) \ x,L(z,x * y,u)) = K(y \ 1,L(z,x,u)). K(x \ 1,L(y,z * x,u)) = K(x \ 1,L(y,z,u)). (x * K(y \ 1,L(z,u,w))) \ x = K(L(z,u * y,w),y \ 1). K(L(x,y * z,u),z \ 1) = (w * K(z \ 1,L(x,y,u))) \ w. K(L(x,y * z,u),z \ 1) = K(L(x,y,u),z \ 1). x != K(L(y,z,u),w) | x = K(y,L(w,z,u)). K(L(x,y * z,u),z \ 1) = K(x,L(z \ 1,y,u)). K(x,L(y \ 1,z * y,u)) = K(x,L(y \ 1,z,u)). (x * (y * z)) * K(u,L(z \ 1,y,x)) = x * (y * (z * K(u,z \ 1))). (x * y) \ (x * (y * (z * K(u,z \ 1)))) = T(1 / L(z,y,x),u) \ 1. L(x * K(y,x \ 1),z,u) = T(1 / L(x,z,u),y) \ 1. 1 / (1 / (T(1 / L(x,y,z),u) \ 1)) = L(1 / (1 / (x * K(u,x \ 1))),y,z). L(1 / (1 / (x * K(y,x \ 1))),z,u) = 1 / (1 / (T(1 / L(x,z,u),y) \ 1)). L(1 / (1 / (x * K(y,x \ 1))),z,u) = 1 / T(1 / L(x,z,u),y). L(1 / T(1 / x,y),z,u) = 1 / T(1 / L(x,z,u),y). 1 / T(1 / L(x,y,z),u) = L(1 / T(1 / x,u),y,z). L(1 / T(1 / x,y),z,u) \ 1 = T(1 / L(x,z,u),y). L(1 / T(x,y),z,u) \ 1 = T(1 / L(x \ 1,z,u),y). L(1 / T(x,y),z,u) \ 1 = T(L(1 / x,z,u) \ 1,y). x != L(1 / T(y,z),u,w) \ 1 | x = T(y * L(y \ 1,u,w),z) \ T(y,z). T(L(1 / x,y,z) \ 1,u) = T(x * L(x \ 1,y,z),u) \ T(x,u). T(x * L(x \ 1,y,z),u) \ T(x,u) = T(L(1 / x,y,z) \ 1,u). x * y != T(z * L(z \ 1,u,w),v5) \ T(z,v5) | x \ T(L(1 / z,u,w) \ 1,v5) = y. ((x * L(x \ 1,y,z)) \ T(x,u)) \ T(L(1 / x,y,z) \ 1,u) = K(u,T(x * L(x \ 1,y,z),T(x,u))). K((x \ (y \ z)) \ u,L(x,u,y)) = K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z). (((x * y) / x) * x) \ (K((x * y) / x,x) * z) = (T(x,y) * y) \ z. (x * y) \ (K((x * y) / x,x) * z) = (T(x,y) * y) \ z. (x * y) \ (K(x \ (x * y),x) * z) = (T(x,y) * y) \ z. (x * y) \ (K(y,x) * z) = (T(x,y) * y) \ z. x != (y * z) \ (K(z,y) * u) | x = K(z,y) * ((y * z) \ u). (T(x,y) * y) \ z = K(y,x) * ((x * y) \ z). K(x,y) * ((y * x) \ z) = (T(y,x) * x) \ z. 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). K((x * ((y * z) \ y)) \ ((1 / ((y * z) \ y)) \ u),1 / ((y * z) \ y)) = K(x \ u,z). 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,z \ ((u \ z) * y)) | x = K(y,T(u \ y,z)). K(x,(y / x) \ (z \ y)) = K(x,T(z \ x,y)). K(x \ y,x \ (z \ y)) = K(x \ y,T(z \ (x \ y),y)). K(x \ y,T(z \ (x \ y),y)) = K(x \ y,x \ (z \ y)). K(x / 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). K(((x \ y) / z) \ y,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). K(x,T(L(y,z,u),w)) != v5 | L(K(x,T(y,w)),z,u) = v5. K(L(x,y,z),u) != w | L(K(x,u),y,z) = w. (x * T(y,K(x,z))) \ (x * (K(x,z) * y)) = K(x,z). (x * T(y,K(x,z))) \ (T(x,z) * y) = K(x,z). K((x \ y) \ z,L(x,u,w)) = K(L(x,u,w) \ ((x \ (L(x,u,w) \ y)) \ z),L(x,u,w)). K(L(x,y,z) \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). K(x \ 1,L(y,z \ u,z)) != w | K((z * ((z \ u) * x)) \ u,y) = w. K(x \ (y \ z),L(u,x,y)) != w | K((y * x) \ z,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)). K(L(x,y,z) \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). (x * y) * K(z,z \ y) = x * (z * (y / z)). 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)). 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)) \ u,L(z,w,v5)) != v6 | K((x * y) \ (z \ u),L(z,w,v5)) = v6. K((x * y) \ (z \ ((x * y) * u)),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)). 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)). x != K(L(y,z,u) \ ((y \ (1 / L(y,z,u))) \ w),L(y,z,u)) | x = K((1 / y) \ w,L(y,z,u)). K(x \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). x != K(L(y,z,u) \ ((y \ (L(y,z,u) \ w)) \ v5),L(y,z,u)) | x = K((y \ w) \ v5,L(y,z,u)). 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((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)) \ w,L(y,w,z)) | x = K((y \ (z \ u)) \ w,(z * ((z \ u) / y)) \ u). K(((x \ y) \ z) * u,L(u,z,x)) = K((u \ (x \ y)) \ z,(x * ((x \ y) / u)) \ y). K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(((y \ z) \ u) * x,L(x,u,y)). 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 != K(((y \ z) / u) \ z,L(u,y \ z,y)) | x = K(((y \ z) / u) \ z,u). K(((x \ y) \ y) * z,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). x != K(y \ (z * (u * w)),u) | x = K(u * (y \ (z * w)),u). K(((x \ y) \ z) * u,L(u,z,x)) = K(u * (y \ (x * z)),u). x != K(((y \ z) \ u) * w,L(w,u,y)) | x = K((w \ (y \ z)) \ u,(y * ((y \ z) / w)) \ z). K(x * (y \ (z * u)),x) = K((x \ (z \ y)) \ u,(z * ((z \ y) / x)) \ y). 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). x != K((y \ z) \ u,L(y,w,v5)) | x = K((z \ u) * y,L(y,w,v5)). 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). x / (K(y * T(z,u),y) * x) = K(y,y * ((z \ u) \ u)). K(x,x * ((y \ z) \ z)) = u / (K(x * T(y,z),x) * u). T(x,x * K(y * T(z,u),y)) \ T(K(y,y * ((z \ u) \ u)) * x,x) = K(y,T(y * ((z \ u) \ u),x)). K(x,x * ((y \ z) \ z)) = K(x,x * T(y,z)). T(x,x * K(y * T(z,u),y)) \ T(K(y,y * T(z,u)) * x,x) = K(y,T(y * ((z \ u) \ u),x)). K(x,T(x * ((y \ z) \ z),u)) = K(x,T(x * T(y,z),u)). K(x,x \ y) * (y * z) = (x * (y / x)) * z. (x * (y / x)) \ (K(x,x \ y) * (y * z)) = z. R(T(x / y,K(y,x)),z,x / y) = R(x / y,z,y \ x). T(a(x / y,z,x / y),u) = (x / y) \ R(x / y,z,y \ x). x != R(y / z,u,z \ y) | x = a(z \ y,u,z \ y) * (y / z). R(T(x / y,K(y,x)),z,x / y) = a(y \ x,z,y \ x) * (x / y). a(x \ y,z,x \ y) * (y / x) = R(T(y / x,K(x,y)),z,y / x). x * (y / z) != R(T(y / z,K(z,y)),u,y / z) | x = a(y / z,u,y / z). a(x \ y,z,x \ y) = a(y / x,z,y / x). a(x / y,z,x / y) = a(y \ x,z,y \ x). K((x / y) \ z,y \ x) = K(x \ (y * z),y \ x). x != K(y,(z \ u) \ u) | x = K(y,T(z,u)). K(((x \ y) \ y) \ z,(x \ y) \ y) = K(y \ ((x \ y) * z),T(x,y)). x * K(y \ (z * x),z \ y) = ((z \ y) \ x) * (z \ y). T(x \ y,z) \ T((x \ y) * K(y \ (x * u),x \ y),z) = K((x \ y) \ u,T(x \ y,z)). a(x,y,K(z \ (u * w),u \ z)) = a(x,y,K(w,u \ z)). K(x,L((y * z) \ u,u,1 / y)) = K(x,L(z,y,y \ 1) \ ((1 / y) * u)). (x * (K(x,y) * z)) * K(u,L(w,x,K(x,y) * z)) = (K(x,y) * z) * (T(x,z) * K(u,w)). (x \ y) \ ((z * (x / z)) \ y) != u | K(z \ x,T(z,y)) = u. K((x \ y) \ z,y / x) = K(y \ (x * z),y / x). K((x / y) \ z,x / y) = K(x \ (y * z),x / y). T(x \ y,(y / x) \ z) = T(x \ y,y \ (x * z)). K(x,T(y \ z,z \ (y * u)) \ w) = K(x,(((y \ z) \ u) \ u) \ w). (x \ y) \ L((x / (y / z)) \ z,x / (y / z),y / z) = T(K(y \ (z * x),y / z),x \ y). (x \ y) \ L((x / (y / z)) \ z,x / (y / z),y / z) = K(y \ (z * x),T(y / z,x \ y)). (x \ y) \ (((y / z) * (x / (y / z))) \ y) = K(y \ (z * x),T(y / z,x \ y)). K((x / y) \ z,T(x / y,x)) = K(x \ (y * z),T(x / y,z \ x)). K(x \ (y * z),T(x / y,z \ x)) = K((x / y) \ z,T(x / y,x)). x != K(y,T(z / u,z)) | x = K(y,u \ z). K(x \ (y * z),T(x / y,z \ x)) = K((x / y) \ z,y \ x). x != K((y / z) \ u,z \ y) | x = K(y \ (z * u),z \ y). K(x \ (y * z),T(x / y,z \ x)) = K(x \ (y * z),y \ x). K(((x \ y) * z) \ z,(((x \ y) * z) \ z) \ z) * (z \ u) = (T((x \ y) * z,y \ x) * (((x \ y) * z) \ z)) \ u. (T((x \ y) * z,y \ x) * (((x \ y) * z) \ z)) \ u = K(((x \ y) * z) \ z,(((x \ y) * z) \ z) \ z) * (z \ u). K(x * (((y \ z) * y) \ u),y \ z) = K(x * (z \ u),y \ z). (T((x \ y) * z,y \ x) * (((x \ y) * z) \ z)) \ u = K(((x \ y) * z) \ z,T((x \ y) * z,z)) * (z \ u). R(x,y,x * K(z,x)) = R(x,y,T(x * K(z,x),u)). R(x,y,T(x * K(z,x),u)) = R(x,y,x * K(z,x)). R(x,y,x) = R(x,y,x * K(z,x)). R(x,y,x * K(z,x)) = R(x,y,x). R(x \ y,z,y / x) = R(x \ y,z,x \ y). K(x \ (y * z),T(y \ x,u)) = K((y \ x) \ z,T(y \ x,u)). K((x \ y) \ z,T(x \ y,u)) = K(y \ (x * z),T(x \ y,u)). K((x \ y) \ z,T(x \ y,u)) != w | K(y \ (x * z),T(x \ y,u)) = w. x != K(y,y \ ((z \ 1) \ (y * u))) | x = K(y,u / T(z \ 1,z * (y * u))). K(x,(y \ 1) \ z) = K(x,z / T(y \ 1,y * (x * z))). K(x,y / T(z \ 1,z * (x * y))) = K(x,(z \ 1) \ y). T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,x \ 1). K(x,x \ T(y,z)) != u | K(x,T(x \ y,z)) = u. x / (x * K(y,y \ T(z,u))) = K(y \ z,T(T(y,u),x)). K(x \ T(y,z),T(x,u)) = K(x \ y,T(T(x,z),u)). K(L(x,y,z),T(y,u)) != w | K(x,T(y,u)) = w. K((x * y) / (x * z),z) != u | K(z \ y,T(z,x)) = u. K(x \ y,T(x,z)) = K(x \ ((z * y) / z),x). K(x \ ((y * z) / y),x) = K(x \ z,T(x,y)). K(x \ ((y * z) / y),x) != u | K(x \ z,T(x,y)) = u. T(x,T(x \ y,z)) = T(x,x \ T(y,z)). T(x,x \ T(y,z)) = T(x,T(x \ y,z)). (x * 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). K(x \ (y \ z),y) = K(x \ (z * (y \ 1)),y). K(x \ (y * (z \ 1)),z) = K(x \ (z \ y),z). x != K(((y \ 1) * z) \ (u * (y \ 1)),y) | x = K(z \ T(u,y \ 1),y). K(((x \ 1) * y) \ (x \ z),x) = K(y \ T(z,x \ 1),x). x != K(y \ T(z,u \ 1),u) | x = K(y \ z,u). K(((x \ 1) * y) \ (x \ z),x) = K(y \ z,x). 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),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,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)). x != K(((y \ 1) * z) \ u,T(y,z)) | x = K(((y \ 1) \ u) / z,y). K(x \ (y * z),T(y,x)) = K(((y \ 1) \ z) / x,y). K((x * y) / z,x) = K(((x \ 1) \ y) / z,x). K(((x \ 1) \ y) / z,x) = K((x * y) / z,x). x != K((y * z) / u,y) | x = K((u / z) \ y,y). 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). (K(x,y) * z) * (K(y,T(x,z)) * u) != w | (z * K(x,y)) * (K(y,x) * u) = w. K(x * (y / (z * y)),z \ 1) != u | K(x * ((z * y) \ y),z \ 1) = u. K(x * ((y * z) \ z),y \ 1) = K((x \ 1) \ ((y * z) \ z),y \ 1). K((x \ 1) \ ((y * z) \ z),y \ 1) = K(x * ((y * z) \ z),y \ 1). x != K(y \ ((z * u) \ u),z \ 1) | x = K(y \ (z \ 1),z \ 1). K(x * ((y * z) \ z),y \ 1) = K((x \ 1) \ (y \ 1),y \ 1). K((x \ 1) \ (y \ 1),y \ 1) = K(x * ((y * z) \ z),y \ 1). K(x * (y \ 1),y \ 1) = K(x * ((y * z) \ z),y \ 1). K(x * ((y * z) \ z),y \ 1) = K(x * (y \ 1),y \ 1). x != K(y * (z \ 1),z \ 1) | 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). K(x \ (y \ x),z) * T(z,T(y \ z,x)) = L(z,y \ 1,z). K(x,K(y,z)) * K(x,K(y,u)) = K(x * K(y,w),K(y,z) * K(u,y)). K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u)) * K(x,K(y,w)). K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u) * K(w,y)). K(x,K(y,z)) * K(x,K(y,u)) != w | K(x,K(y,z) * K(u,y)) = w. K(K(x,y) * K(y,z),u) != w | K(u,K(y,x) * K(z,y)) = w. K(x,K(y,z) * K(u,y)) = K(K(w,y) * x,K(y,z) * K(u,y)). K(K(x,y) * z,K(y,u) * K(w,y)) = K(z,K(y,u) * K(w,y)). x != K(y,K(z,u) * K(w,z)) | x = K(y,K(u,z) * K(z,w)). K(x,K(y,z) * K(u,y)) = K(K(w,y) * x,K(z,y) * K(y,u)). K(K(x,y) * z,K(u,y) * K(y,w)) = K(z,K(y,u) * K(w,y)). T(x * K(y,z),K(z,u)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(x,K(z,y) * K(u,z)). x != (K(y,z) * K(z,u)) * w | x = K(y,z) * (K(z,u) * w). T(x * K(y,z),K(z,u)) / (K(u,z) * x) = K(y,z) * (K(z,u) * K(x,K(z,y) * K(u,z))). 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)). 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)) = a(x,y,K(u \ z,z)). a(x,y,K(z \ u,u)) = a(x,y,K(u,z)). x != a(y,z,K(u \ w,w)) | x = a(y,z,K(u \ 1,w)). a(x,y,K(z,u)) = a(x,y,K(u \ 1,z)). a(x,y,K(z \ 1,u)) = a(x,y,K(u,z)). a(x,y,K(z,u)) = a(x,y,K(u,z \ 1)). a(x,y,K(z,u \ 1)) = a(x,y,K(u,z)). a(x,y,K(z \ u,w)) = a(x,y,K(w,u \ z)). a(x,y,K(z,y \ u)) = a(x,u,K(u \ y,z)). a(x,y,K(y \ z,u)) = a(x,z,K(u,z \ y)). a(x,y,K(L(z,u \ y,u),w)) = a(x,u * ((u \ y) * z),K(w,(u * ((u \ y) * z)) \ y)). a(x,y * ((y \ z) * u),K(w,(y * ((y \ z) * u)) \ z)) = a(x,z,K(L(u,y \ z,y),w)). a(x,y * ((y \ z) * u),K(w,(y * ((y \ z) * u)) \ z)) = a(x,z,K(u,L(w,y \ z,y))). L(T(x,y),x \ z,u) = L(T(x,y),T(x,w) \ z,u). L(T(x,y),T(x,z) \ u,w) = L(T(x,y),x \ u,w). x != L(T(y,z),T(y,z) \ 1,u) | x = (u * (K(z,y) / y)) \ u. L(T(x,y),x \ 1,z) = (z * (K(y,x) / x)) \ z. (x * (K(y,z) / z)) \ x = L(T(z,y),z \ 1,x). R(x,K(y,z) / z,L(T(z,y),z \ 1,x)) = x / ((K(y,z) / z) * ((x * (K(y,z) / z)) \ x)). x / ((K(y,z) / z) * ((x * (K(y,z) / z)) \ x)) = R(x,K(y,z) / z,L(T(z,y),z \ 1,x)). R(x,K(y,z) / z,L(T(z,y),z \ 1,x)) \ 1 = x \ ((K(y,z) / z) * ((x * (K(y,z) / z)) \ x)). x / (L(T(y,z),y \ 1,u) * (u \ (u * (K(z,y) / y)))) = (((u * (K(z,y) / y)) \ u) * (u \ (u * (K(z,y) / y)))) \ x. (((x * (K(y,z) / z)) \ x) * (x \ (x * (K(y,z) / z)))) \ u = u / (L(T(z,y),z \ 1,x) * (x \ (x * (K(y,z) / z)))). (((x * (K(y,z) / z)) \ x) * (x \ (x * (K(y,z) / z)))) \ u = u / (L(T(z,y),z \ 1,x) * (K(y,z) / z)). x / ((K(y,z) / z) * L(T(z,y),z \ 1,x)) = R(x,K(y,z) / z,L(T(z,y),z \ 1,x)). x / (T(y,z) \ L(T(y,z),y \ 1,x)) = R(x,K(z,y) / y,L(T(y,z),y \ 1,x)). R(x,K(y,z) / z,L(T(z,y),z \ 1,x)) = x / (T(z,y) \ L(T(z,y),z \ 1,x)). (T(x,y) * z) * K(u,L(w,x,K(x,y) * z)) = (K(x,y) * z) * (T(x,z) * K(u,w)). x \ (y * K(z,y \ (x * u))) = (x \ y) * K(z,(x \ y) \ u). K(x,L((y * z) \ u,u,y \ 1)) = K(x,L(z,y,y \ 1) \ ((1 / y) * u)). x != K(y,z \ ((1 / u) * w)) | x = K(y,z \ ((u \ 1) * w)). K(x,L((y * z) \ u,u,y \ 1)) = K(x,L(z,y,y \ 1) \ ((y \ 1) * u)). K(x,K(y,L(z,u,w))) != v5 | L(K(z,K(x,y)),u,w) = v5. K(x,T(L(y,z \ u,z),z \ u)) = K(u \ (z * (x * (z \ u))),y). K(x,L(T(y,z \ u),z \ u,z)) = K(u \ (z * (x * (z \ u))),y). K((x \ R(x,y,y \ 1)) / y,L(z,y,x)) = K(y \ 1,T(z,y)). K(a(x,y,y \ 1) / y,L(z,y,x)) = K(y \ 1,T(z,y)). T(x,L(y,z,u) \ 1) = T(x,L(y \ 1,z,u)). T(x,x \ 1) = T(x,L(x \ 1,y,z)). T(x,L(x \ 1,y,z)) = T(x,x \ 1). L(x \ 1,y,z) * (T(x,x \ 1) * u) = L(1 / x,y,z) * (x * u). K(x,L(y,z,u)) * (L(x \ 1,z,u) \ 1) = T(L(x \ 1,z,u) \ 1,y). K(((x * y) \ z) \ (K(y,x) * u),w) != v5 | K(((y * x) \ z) \ u,L(w,u,K(y,x))) = v5. x * y != K(z,u) * (T(z,u) \ w) | x \ (z \ w) = y. a(x,y,K(z,u)) \ (z \ w) = K(z,L(u,y,x)) * (T(z,u) \ w). K(x,L(y,z,u)) * (T(x,y) \ w) = a(u,z,K(x,y)) \ (x \ w). K(x \ (y \ z),L(y,u,w)) = K((y * x) \ z,L(y,u,w)). K((x * y) \ z,L(x,u,w)) = K(y \ (x \ z),L(x,u,w)). K(x,L(T((y / z) \ 1,u),w,v5)) != v6 | K(x,L(T(z / y,u),w,v5)) = v6. K(x,L(T(y \ 1,z),u,w)) = K(x,L(T(y,z) \ 1,u,w)). K(x,L(T(y,z) \ 1,u,w)) = K(x,L(T(y \ 1,z),u,w)). K(x,L((y \ z) \ 1,u,w)) = K(x,L(z \ y,u,w)). K(x,L((y \ z) \ 1,u,w)) != v5 | K(x,L(z \ y,u,w)) = v5. K(x,L(y \ 1,z,u)) = K(x,L((w * y) \ w,z,u)). K(x,L((y * z) \ y,u,w)) = K(x,L(z \ 1,u,w)). L(K(x,T(y \ z,K(u,w) \ y)),y,K(w,u)) = K(x,(K(w,u) * z) / (K(w,u) * y)). K(x,(y * ((z \ u) \ 1)) \ (y * (u * (z / u)))) = K(x,L(T(((z \ u) \ 1) \ z,u * (z / u)),u * (z / u),y)). K(x,L(T(((y \ z) \ 1) \ y,z * (y / z)),z * (y / z),u)) = K(x,(u * ((y \ z) \ 1)) \ (u * (z * (y / z)))). K(x,L(y,z * x,u)) != w | K(x,L(y,z,u)) = w. K(x \ y,L(z,y,u)) != w | K(x \ y,L(z,x,u)) = w. K(x * (y \ L(y,z,u)),y) = K(x,y). K(x,y \ 1) * K(y \ x,x) = a(x,(z * y) \ z,x). a(x,(y * z) \ y,x) = K(x,z \ 1) * K(z \ x,x). (x * (y * z)) \ (((x * K(y,z)) * z) * y) = a(x * K(y,z),z,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)). K(x,((y * z) \ y) \ 1) != u | u = K(x,z). K(x,((y * z) \ y) \ 1) != u | K(x,z) = u. T(x,(y * z) / y) != u | T(x,T(z,y)) = u. T(x,(x \ y) \ z) != u | T(x,T(z / (x \ y),y)) = u. T(x,K(y,y / z)) != u | T(x,K(z,y)) = u. K(x,K(y / z,u * y)) = K(x,K(y / z,u * z)). K(x,K(y / z,u * z)) = K(x,K(y / z,u * y)). K(x,(y \ K(z,u)) \ 1) != w | K(x,K(u,z) * y) = w. K(x,L(T(y / z,y \ z) \ 1,u,w)) != v5 | K(x,L(T((y / z) \ 1,1),u,w)) = v5. K(x,L(T(y \ z,y),u,w)) != v5 | K(x,L(T(y \ z,z),u,w)) = v5. K(x,L(T((y / z) \ 1,1),u,w)) = K(x,L(T((y / z) \ 1,y \ z),u,w)). K(x,L(T((y / z) \ 1,y \ z),u,w)) = K(x,L(T((y / z) \ 1,1),u,w)). K(x,L(T((y / z) \ 1,y \ z),u,w)) = K(x,L((y / z) \ 1,u,w)). K(x,L(T(y / z,z \ y),u,w)) = K(x,L((z / y) \ 1,u,w)). K(x,L(y / z,u,w)) = K(x,L((z / y) \ 1,u,w)). K(x,L((y / z) \ 1,u,w)) = K(x,L(z / y,u,w)). x != K(y,z \ 1) * K(z \ y,y) | x = a(y,z \ 1,y). a(x,(y * z) \ y,x) = a(x,z \ 1,x). x * K(x,x * (y \ z)) = T(x,(y * (x \ 1)) \ z). T(x,(y * (x \ 1)) \ z) = x * K(x,x * (y \ z)). T(x,(y * (x \ 1)) \ z) = T(x,x * (y \ z)). (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). R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),y,z). T((x \ y) * x,z) \ T(y,z) != u | K(x,T(x \ y,z)) = u. K(K(x,y) * z,z \ x) != u | K(z,T(z \ x,y)) = u. x != y * (T(z,u) / y) | x = T(y * (z / y),u). K(x,T(x \ y,z)) * T(y,z) = T(x * (y / x),z). (x / (y / z)) * K(y,y \ (y / z)) = x / ((y / z) * K(z \ 1,y)). (x / (y / z)) * K(y,z \ 1) = x / ((y / z) * K(z \ 1,y)). x / ((y / z) * K(z \ 1,y)) = (x / (y / z)) * K(y,z \ 1). (x * (y * z)) \ ((x * (z * K(y,z))) * y) = a(x * K(y,z),z,y). (x * (y * z)) \ ((x * z) * T(y,z)) = a(x * K(y,z),z,y). L(x \ T(y,L(1 / x,x,z)),x,x \ (x * ((z * x) \ z))) = (x * ((z * x) \ z)) \ (y * ((x * ((z * x) \ z)) / x)). L(x \ T(y,x \ 1),x,x \ (x * ((z * x) \ z))) = (x * ((z * x) \ z)) \ (y * ((x * ((z * x) \ z)) / x)). L(x \ T(y,x \ 1),x,(z * x) \ z) = (x * ((z * x) \ z)) \ (y * ((x * ((z * x) \ z)) / x)). (x * ((y * x) \ y)) \ (z * ((x * ((y * x) \ y)) / x)) = L(x \ T(z,x \ 1),x,(y * x) \ y). (x * ((y * x) \ y)) \ (z * L(1 / x,x,y)) = L(x \ T(z,x \ 1),x,(y * x) \ y). (x * ((y * x) \ y)) \ ((z * K(x \ 1,z)) * L(1 / x,x,y)) = L(x \ z,x,(y * x) \ y). (x * ((y * x) \ y)) \ (z * (K(x \ 1,z) * L(1 / x,x,y))) = L(x \ z,x,(y * x) \ y). (x * ((y * x) \ y)) \ (z * L(T(1 / x,z),x,y)) = L(x \ z,x,(y * x) \ y). (x * ((y * x) \ y)) \ (L(1 / x,x,y) * z) = L(x \ z,x,(y * x) \ y). x * K(y,L(z,u,u \ x)) = (x / u) * (u * K(y,z)). x * K(y,L(z,u * y,(u * y) \ x)) = (x / (u * y)) * (u * T(y,z)). x * K(y,L(z,u,(u * y) \ x)) = (x / (u * y)) * (u * T(y,z)). K(x,((y * (z / y)) \ (y * u)) \ 1) = K(x,L(((z / y) \ u) \ 1,y \ z,y)). K(x,L(((y / z) \ u) \ 1,z \ y,z)) = K(x,((z * (y / z)) \ (z * u)) \ 1). K(x,L(((y / z) \ u) \ 1,z \ y,z)) = K(x,(z * u) \ (z * (y / z))). L(x,y,K(z,z \ y)) = x. L(x,y,K(z,z \ y)) = (x * u) / u. L(x,y,K(z,z \ y)) != u | u = x. K(x,T(y,z)) * ((y * x) * z) = (T(x,z) * y) * T(z,x). x * y != K(z \ u,z) * (u * w) | x \ (((z \ u) * z) * w) = y. (x \ y) \ (((x \ y) * x) * z) = (y / x) \ (y * z). x * (R(y,z,z \ 1) \ y) = x * (((R(y,z,z \ 1) \ y) \ u) \ u). x * (((R(y,z,z \ 1) \ y) \ u) \ u) = x * (R(y,z,z \ 1) \ y). 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). a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = K(u * x,L(x,y,z)) * K(L(x,y,z),T(u,x)). a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = K(u * x,L(x,y,z)) * K(L(x,y,z),u). K(x,T((y \ z) \ 1,z \ (y * u))) = K(x,(((y \ z) \ u) \ u) \ 1). K(x,T(y \ z,y \ (z * u))) = K(x,(((z \ y) \ u) \ u) \ 1). K(x,T(y \ z,y \ (z * u))) = K(x,u \ ((z \ y) \ u)). x * y != z * ((u \ w) \ w) | x \ (z * T(u,u \ w)) = y. x \ ((((y \ z) \ z) \ x) * T(y,y \ z)) = K(z \ ((y \ z) * x),(y \ z) \ z). K(x \ ((y \ x) * z),(y \ x) \ x) = z \ ((((y \ x) \ x) \ z) * T(y,y \ x)). K(x \ ((y \ x) * z),T(y,x)) = z \ ((((y \ x) \ x) \ z) * T(y,y \ x)). x \ ((((y \ z) \ z) \ x) * T(y,y \ z)) = K(z \ ((y \ z) * x),T(y,z)). K(((x \ y) \ y) \ z,T(x,y)) = K(y \ ((x \ y) * z),T(x,y)). 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)). K(x \ (y \ (x * z)),y) != u | u = K(y \ z,y). K(x \ (y \ (x * z)),y) != u | K(y \ z,y) = u. T(x,y * (x \ z)) = T(x,x \ (y * z)). T(x,x \ (y * z)) = T(x,y * (x \ z)). K(x / y,z) * (y / x) = (y * K(y \ x,z)) / x. (x * K(x \ y,z)) / y = K(y / x,z) * (x / y). x * ((y * (x / y)) \ z) = ((y \ x) * y) * (x \ z). ((x \ y) * x) * (y \ z) = y * ((x * (y / x)) \ z). x != ((y \ z) * y) * (z \ u) | x = K(y \ z,y) * u. x * ((y * (x / y)) \ z) = K(y \ x,y) * z. T(x,y) * T(K(z,z \ x) * y,x) = x * (K(z,z \ x) * y). T(x,K(y,y \ x) * z) = T(x,z). T(x,(x / y) * z) = T(x,(y \ x) * z). T(x,(y \ x) \ z) = T(x,(x / y) \ z). T(x,(x / y) \ z) = T(x,(y \ x) \ z). T(x,(y * z) \ (x * u)) = T(x,(y * (x \ z)) \ u). T(x,(y * (x \ z)) \ u) = T(x,(y * z) \ (x * u)). T(x,(y * (x \ 1)) \ z) = T(x,y \ (x * z)). x != T(y,(z * (y \ 1)) \ u) | x = T(y,y * (z \ u)). T(x,y \ (x * z)) = T(x,x * (y \ z)). K(x,T(L((y \ z) \ z,u,w),v5)) = K(x,T(L(T(y,z),u,w),v5)). K(x,T(L((y \ z) \ z,u,w),v5)) = K(x,L(T(T(y,z),v5),u,w)). K(x,L(T((y \ z) \ z,u),w,v5)) = K(x,L(T(T(y,z),u),w,v5)). K(x,L(T(T(y \ z,y),u),w,v5)) = K(x,L(T(T(y \ z,z),u),w,v5)). K(x,L(T(T(y \ z,z),u),w,v5)) = K(x,L(T(T(y \ z,y),u),w,v5)). K(x,L(T(T(y \ z,z),u),w,v5)) = K(x,L(T(T(y \ z,u),y),w,v5)). K(x,L(T(T(y \ z,u),y),w,v5)) = K(x,L(T(T(y \ z,z),u),w,v5)). K(x,L(T(T(y \ z,u),y),w,v5)) = K(x,L(T(T(y \ z,u),z),w,v5)). K(x,L(T(T(y \ z,u),z),w,v5)) = K(x,L(T(T(y \ z,u),y),w,v5)). K(x,T(y,z * u)) = K(x,T(y,(z * x) * u)). K(x,T(y,(z * x) * u)) = K(x,T(y,z * u)). K(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). x != K(y,T((z \ u) \ 1,w)) | x = K(y,T(u \ z,w)). K(((x \ y) \ 1) * z,T((x \ y) \ 1,u)) = K((x \ y) \ z,T(y \ x,u)). K(((x \ y) \ 1) * z,T(y \ x,u)) = K((x \ y) \ z,T(y \ x,u)). x != K(((y \ z) \ 1) * u,T(z \ y,w)) | x = K(u * ((y \ z) \ 1),T(z \ y,w)). K((x \ y) \ z,T(y \ x,u)) = K(z * ((x \ y) \ 1),T(y \ x,u)). 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 \ y) * x) * z = (y * z) * K(z \ (x \ (y * z)),x). (x * y) * K(y \ (z \ (x * y)),z) = ((z \ x) * z) * y. 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(L(x,y,z),R(z,u,w)) = K(x,R(z,u,w)). K(x * y,R(x,z,u)) = K((x \ 1) \ y,R(x,z,u)). K((x \ 1) \ y,R(x,z,u)) = K(x * y,R(x,z,u)). K(x \ y,R(x \ 1,z,u)) = K((x \ 1) * y,R(x \ 1,z,u)). K((x \ 1) * y,R(x \ 1,z,u)) = K(x \ y,R(x \ 1,z,u)). K(((x / y) \ 1) * z,T(y / x,x / y)) = K((x / y) \ z,R((x / y) \ 1,x / y,y)). K((x / y) \ z,R((x / y) \ 1,x / y,y)) = K(((x / y) \ 1) * z,T(y / x,x / y)). x != K(y,T(z / u,u / z)) | 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((y / z) \ u,z / y) | x = K((z \ y) \ u,z / y). K(((x / y) \ 1) * z,y / x) = K((y \ x) \ z,y / x). K(x,T(y,(x \ z) \ u)) != w | K(x,T(y,z \ u)) = 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 \ (x \ u))). K(x,T(y,z \ (x \ u))) = K(x,T(y,z \ u)). x != K(y,T(y \ z,u)) | x = K(y,y \ T(z,u)). K(x,T(T(x,y) \ z,u)) = K(x,x \ T(z,u)). (x * (y \ 1)) * K(y,z) = x * (y \ K(y,z)). x * y != (z * u) * (u \ y) | x = R(z,u,u \ y). (x * y) * (y \ 1) = R(x,y,y \ K(y,z)). R(x,y,y \ K(y,z)) = (x * y) * (y \ 1). R(x,y,y \ K(y,z)) = R(x,y,y \ 1). R(x,y,y \ K(y,z)) != u | R(x,y,y \ 1) = u. R(x,T(y,z),y \ 1) != u | R(x,T(y,z),T(y,z) \ 1) = u. R(x,T(y,z),T(y,z) \ 1) = R(x,T(y,z),y \ 1). x != R(y,T(z,u),T(z,u) \ 1) | x = (y * T(z,u)) * (z \ K(u,z)). R(x,T(y,z),y \ 1) = (x * T(y,z)) * (y \ K(z,y)). (x * T(y,z)) * (y \ K(z,y)) = R(x,T(y,z),y \ 1). x * y != R(z,T(u,w),T(u,w) \ 1) | x \ R(z,T(u,w),u \ 1) = y. x \ R(x,T(y,z),y \ 1) = a(x,T(y,z),T(y,z) \ 1). a(x,T(y,z),T(y,z) \ 1) = x \ R(x,T(y,z),y \ 1). x * y != z * (u \ K(u,w)) | ((z * K(u,w)) * (u \ 1)) / y = x. (((x * y) * K(y,z)) * (y \ 1)) / K(y,z) = R(x,y,y \ K(y,z)). ((x * T(y,z)) * (y \ 1)) / K(y,z) = R(x,y,y \ K(y,z)). ((x * T(y,z)) * (y \ 1)) * K(z,y) = R(x,y,y \ K(y,z)). x != (y * (z \ 1)) * K(u,z) | x = y * (z \ K(u,z)). R(x,y,y \ K(y,z)) = (x * T(y,z)) * (y \ K(z,y)). (x * T(y,z)) * (y \ K(z,y)) = R(x,y,y \ K(y,z)). x != (y * T(z,u)) * (z \ K(u,z)) | x = R(y,T(z,u),z \ 1). R(x,y,y \ K(y,z)) = R(x,T(y,z),y \ 1). R(x,T(y,z),y \ 1) = R(x,y,y \ K(y,z)). x != R(y,z,z \ K(z,u)) | x = R(y,z,z \ 1). R(x,T(y,z),y \ 1) = R(x,y,y \ 1). R(x,T(y,z),T(y,z) \ 1) = R(x,y,y \ 1). a(x,T(y,z),T(y,z) \ 1) = x \ R(x,y,y \ 1). a(x,T(y,z),T(y,z) \ 1) = a(x,y,y \ 1). x * y != R(z,T(u,w),T(u,w) \ 1) | R(z,u,u \ 1) / y = x. R(x,y,y \ 1) / (T(y,z) \ 1) = x * T(y,z). R(x,y \ 1,y) / (T(y \ 1,z) \ 1) = x * T(y \ 1,z). K(x,y) * T(x * K(y,x),z) != u | u = T(x,T(z,y)). K(x,y) * T(x * K(y,x),z) != u | T(x,T(z,y)) = u. K(x,(K(y \ x,y) * z) \ x) = K(x,(z * K(y \ x,y)) \ x). x != K(y,(z * K(u \ y,u)) \ w) | x = K(y,z \ w). K(x,(K(y \ x,y) * z) \ x) = K(x,z \ x). x != K(y,(K(z,u) * w) \ y) | x = K(y,w \ (K(u,z) * y)). K(x,y \ x) = K(x,y \ (K(z,z \ x) * x)). K(x,y \ (K(z,z \ x) * x)) = K(x,y \ x). K(x,y \ (z * (x / z))) = K(x,y \ x). K(x * y,z \ (y * x)) = K(x * y,z \ (x * y)). K(T(x,y),z \ T(x,y)) != u | K(x,T(z \ T(T(x,w),y),y)) = u. 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 / ((y \ (z \ y)) * y) | x = T(1 / z,y) \ 1. x \ T(y,y \ x) = T(1 / (x \ y),y) \ 1. T(1 / (x \ y),y) \ 1 = x \ T(y,y \ x). (x \ T(y,y \ x)) \ 1 = T((x \ y) \ 1,y). (((x \ y) * x) \ x) \ 1 = T((y \ x) \ 1,x). ((x * y) \ y) \ 1 = T(((y * x) \ y) \ 1,y). T(((x * y) \ x) \ 1,x) = ((y * x) \ x) \ 1. L(x \ 1,x,y) \ K(x,y) = ((x * y) \ y) \ 1. L((K(x,y) * K(z,x)) \ 1,K(x,y) * K(z,x),u) \ K(K(x,y) * K(z,x),u) = (((K(y,x) * K(x,z)) \ u) \ u) \ 1. (K(x,y) * K(y,z)) \ K(K(y,x) * K(z,y),u) = (((K(x,y) * K(y,z)) \ u) \ u) \ 1. (((K(x,y) * K(y,z)) \ u) \ u) \ 1 = (K(x,y) * K(y,z)) \ K(K(y,x) * K(z,y),u). x != (K(y,z) * K(z,u)) \ w | x = (K(z,y) * K(u,z)) * w. (((K(x,y) * K(y,z)) \ u) \ u) \ 1 = (K(y,x) * K(z,y)) * K(K(y,x) * K(z,y),u). (((K(x,y) * K(y,z)) \ u) \ u) \ 1 = T(K(y,x) * K(z,y),u). ((K(x,y) * (K(y,z) * u)) \ u) \ 1 = T(K(y,z) * K(x,y),u). x != ((K(y,z) * (K(z,u) * w)) \ w) \ 1 | x = (K(z,y) * K(u,z)) \ (K((K(z,y) * K(u,z)) \ w,K(z,y)) * K((K(z,y) * K(u,z)) \ w,K(z,u))). T(K(x,y) * K(z,x),u) = (K(x,z) * K(y,x)) \ (K((K(x,z) * K(y,x)) \ u,K(x,z)) * K((K(x,z) * K(y,x)) \ u,K(x,y))). (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). (K(x,y) * K(z,x)) \ (K(K(y,x) * (K(x,z) * u),K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). T(x,y) * K(x * y,T(z,x)) = K(x * y,z) * T(x,y). K(x,y) * (K(x * y,z) * x) = K(x * y,z) * T(x,y). K(x,T(y,z)) * ((y * x) * u) = K(y,K(x,z)) * ((x * y) * u). 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))). x != y * (z * K(u,T(w,z))) | x = y * (K(u,w) * z). 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). K(x * y,z) * T(x,y) = T(K(y * x,z) * x,y). 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))). x != K(y,T(z,u \ (y * w))) | x = K(y,T(z,u \ w)). K(x,T(y,z \ (u * x))) = K(x,T(y,z \ u)). K(x \ y,T(z,u \ y)) = K(x \ y,T(z,u \ x)). x != K(y,T(z,u \ w)) | x = K(y,T(z,w \ u)). K(x \ y,T(z,u \ y)) = K(x \ y,T(z,x \ u)). K(x \ 1,T(y,z)) = K(x \ 1,T(y,x \ z)). K(x \ 1,T(y,x \ z)) = K(x \ 1,T(y,z)). K(x,y / z) * K(x,K(y,z)) = K(x,z \ y). x * y != K((z \ u) \ w,z \ u) | K(u \ (z * w),z \ u) / y = x. K(x \ (y * z),y \ x) / K((y \ x) \ z,K(x,y)) = K((y \ x) \ z,x / y). K(x \ (y * z),y \ x) / K(x,K((y \ x) \ z,y)) = K((y \ x) \ z,x / y). K(x \ (y * z),y \ x) / K(x,K(x \ (y * z),y)) = K((y \ x) \ z,x / y). K(x \ (y * z),y \ x) / K(x,K(y,y * z)) = K((y \ x) \ z,x / y). K(x \ (y * z),y \ x) / K(x,K(y,z)) = K((y \ x) \ z,x / y). K(x \ (y * z),y \ x) * K(x,K(y,z)) = K((y \ x) \ z,x / y). x != K((y \ z) \ u,z / y) | x = K(z \ (y * u),z / y). K(x \ (y * z),y \ x) * K(x,K(y,z)) = K(x \ (y * z),x / y). K(x,y \ z) != u | K(x,z / y) * K(x,K(z,y)) = u. K(x,y \ z) * K(x,K(z,y)) = K(x,z / y). K(x,T(y,z)) \ u = K(y,K(x,z)) \ (K(x,y) \ u). K(x,K(y,z)) \ (K(y,x) \ u) = K(y,T(x,z)) \ u. R((x * R(K(y,z),u,u \ 1)) * K(z,y),K(y,z),R(K(z,y),u,u \ 1)) = x / a(K(z,y),u,u \ 1). R(x * (K(y,z) * R(K(z,y),u,u \ 1)),K(z,y),R(K(y,z),u,u \ 1)) = x / a(K(y,z),u,u \ 1). R(x * a(K(y,z),u,u \ 1),K(y,z),R(K(z,y),u,u \ 1)) = x / a(K(z,y),u,u \ 1). 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). 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),u) != w | x * K(y,T(z,u)) = w. 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)). K(x / ((y * z) \ y),z) != u | K(((y * z) \ y) \ x,z) = u. T(x * (K(y,z) * (x \ 1)),u) = L(T(T(K(y,z),u),x),x \ 1,x). L(T(T(K(x,y),z),u),u \ 1,u) = T(u * (K(x,y) * (u \ 1)),z). T(x,y * K(z,y)) != u | T(x,T(y,z)) = u. x * (K(y,T(z,x * u)) * u) = L(K(y,T(z,u)),u,x) * (x * u). L(K(x,T(y,z)),z,u) * (u * z) = u * (K(x,T(y,u * z)) * z). (x / ((y \ z) * y)) * (y \ z) = (x / z) * (z / y). x * K(y \ z,y) != (T(y,z) \ z) * y | x = T(z,y). (T(x,y) \ y) * ((x \ y) \ y) = T(y,x). T(T(x,y) / (T(y,x) \ x),y * (x / T(y,x))) = L((y \ x) \ x,T(y,x) \ x,(y \ x) \ x). K(x,K(y,z)) * (T(z,y) * u) = T(T(z,y),K(x,y)) * u. K(T(x,y) / y,z) = K(x / T(y,x),z). K(T(x * K(y,x),z) / z,u) = K(((y * x) / y) / T(z,(y * x) / y),u). K(x \ y,T(z,x * K(y,x))) = K(y / x,z). K(T(x * K(y,x),z) / z,u) = K(((y * x) / y) / T(z,T(x,y)),u). 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). (x / (y * z)) * (z \ (z * y)) = (x / (z * y)) * ((z * y) / z). (x / (y * z)) * y = (x / (z * y)) * ((z * y) / z). (x / (y * z)) * ((y * z) / y) = (x / (z * y)) * z. L(K(x,y),z \ 1,z) = T(z * (K(x,y) * (z \ 1)),z). T(x * (K(y,z) * (x \ 1)),x) = L(K(y,z),x \ 1,x). L(K(x,y),z \ 1,z) / z = (K(x,y) * (z \ 1)) * a(z,K(x,y) * (z \ 1),z). (K(x,y) * (z \ 1)) * a(z,K(x,y) * (z \ 1),z) = L(K(x,y),z \ 1,z) / z. K(x,K(y,z)) * (T(z,y) * u) = T(z,T(y,x)) * u. K(x,T(y \ z,y \ (z * u))) != w | K(x,T(y \ z,u)) = w. K((x * y) / z,y) = K((z / x) \ y,y). (K(x,y) * K(z,x)) \ (K(x,K(u,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K(K(y,x) * (K(x,z) * u),K(x,z))) = T(K(x,z) * K(y,x),u). (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K(x,K(u,z))) = T(K(x,z) * K(y,x),u). (K(x,y) * K(z,x)) \ K(u,K(x,y) * K(z,x)) = T(K(x,z) * K(y,x),u). K(x,y) * (K(y,z) * K(u,K(y,x) * K(z,y))) = T(K(y,z) * K(x,y),u). x != K(y,z) * (K(z,u) * K(w,K(z,y) * K(u,z))) | x = T(w * K(y,z),K(z,u)) / (K(u,z) * w). T(K(x,y) * K(z,x),u) = T(u * K(z,x),K(x,y)) / (K(y,x) * u). T(x * K(y,z),K(z,u)) / (K(u,z) * x) = T(K(z,u) * K(y,z),x). x != T(y * K(z,u),K(u,w)) / (K(w,u) * y) | x = T(K(u,w) * K(z,u),K(w,u) * y). T(K(x,y) * K(z,x),u) = T(K(x,y) * K(z,x),K(y,x) * u). T(K(x,y) * K(z,x),K(y,x) * u) = T(K(x,y) * K(z,x),u). x != T(K(y,z) * K(u,y),K(z,y) * (K(y,u) * w)) | x = T(K(y,z) * K(u,y),w). T(K(x,y) * K(z,x),K(x,z) * u) = T(K(x,y) * K(z,x),u). x != T(K(y,z) * K(u,y),K(y,u) * w) | x = (K(y,u) * w) \ (K(y,z) * w). T(K(x,y) * K(z,x),u) = (K(x,z) * u) \ (K(x,y) * u). (K(x,y) * z) \ (K(x,u) * z) = T(K(x,u) * K(y,x),z). x != (K(y,z) * u) \ (K(y,w) * u) | x = K(y,T(w,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. 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(K(x * y,z) * y,x) \ T(y,T(x,z)) = K(z,y * x). T(x,T(y / (x \ z),z)) = T(x,z \ (x * y)). T(x,T((y / z) \ x,y)) = T(x,y \ (x * z)). T(x,T(y \ x,z)) = T(x,z \ (x * (y \ z))). T(x,y \ (x * (z \ y))) = T(x,T(z \ x,y)). x != T(y,z \ (y * u)) | x = T(y,y * (z \ u)). T(x,T(y \ x,z)) = T(x,x * (z \ (y \ z))). T(x,x * (y \ (z \ y))) = T(x,T(z \ x,y)). K(x \ (y \ x),z) * T(z,T(y \ z,x)) = L(z,x \ (y \ x),z). x != K(y \ (z \ y),u) * T(u,T(z \ u,y)) | x = L(u,z \ 1,u). L(x,y \ (z \ y),x) = L(x,z \ 1,x). L(x,y \ z,x) = L(x,(y / z) \ 1,x). L(x,(y / z) \ 1,x) = L(x,y \ z,x). L(x,y * (y \ ((z / u) \ 1)),x) = L(x,z \ u,x). K(x,T(y / (x * z),z)) = K(x,z \ (x \ y)). (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. 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)). 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 != y \ R(y,z,R(T(y,u),w,v5)) | x = a(T(y,u),z,R(T(y,u),w,v5)). a(x,y,R(x,z,u)) = a(T(x,w),y,R(T(x,w),z,u)). a(T(x,y),z,R(T(x,y),u,w)) = a(x,z,R(x,u,w)). 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. (x / y) * (z * K(y \ x,y)) != u | T((y \ x) * z,K(x,y)) = u. T(x,K(y,z)) \ y = T(x \ y,K(y,z)). x != T(y / (y / z),u) \ y | x = y / T(z,u). T((x / (x / y)) \ x,K(x,z)) = x / T(y,K(x,z)). T(x / y,K(x,z)) = x / T(y,K(x,z)). x / T(y,K(x,z)) = T(x / y,K(x,z)). T(x,K(y,z)) \ 1 = T(x \ 1,K(y,z)). (x / y) * (z / K(y,y \ x)) = (y \ x) * T(z,K(y,x)). (x / y) * (z * K(y \ x,y)) = (y \ x) * T(z,K(y,x)). (x / y) * (z * K(y \ x,y)) = (y \ x) * T(z,K(x,y)). T((x \ y) * z,K(y,x)) = (x \ y) * T(z,K(y,x)). (x \ y) * T(z,K(y,x)) = T((x \ y) * z,K(y,x)). K(x,y \ 1) * T((x \ (y \ x)) * z,K(y \ x,x)) = ((y \ x) / x) * T(z,K(y \ x,x)). K(x,y \ 1) * T((x \ (y \ x)) * z,K(x,y)) = ((y \ x) / x) * T(z,K(y \ x,x)). x != K(y,z) * T(u,K(y,w)) | x = T(K(y,z) * u,K(y,w)). ((x \ y) / y) * T(z,K(x \ y,y)) = T(K(y,x \ 1) * ((y \ (x \ y)) * z),K(y,x)). T(K(x,y \ 1) * ((x \ (y \ x)) * z),K(x,y)) = ((y \ x) / x) * T(z,K(y \ x,x)). T(((x \ y) / y) * z,K(y,x)) = ((x \ y) / y) * T(z,K(x \ y,y)). ((x \ y) / y) * T(z,K(x \ y,y)) = T(((x \ y) / y) * z,K(y,x)). ((x \ y) / y) * T(z,K(y,x)) = T(((x \ y) / y) * z,K(y,x)). (x / y) * T(z,K(y,y / x)) = T((((y / x) \ y) / y) * z,K(y,y / x)). T((((x / y) \ x) / x) * z,K(x,x / y)) = (y / x) * T(z,K(x,x / y)). T((((x / y) \ x) / x) * z,K(x,x / y)) = (y / x) * T(z,K(y,x)). T((x / y) * z,K(y,y / x)) = (x / y) * T(z,K(x,y)). (x / y) * T(z,K(x,y)) != u | T((x / y) * z,K(x,y)) = u. x != K(y,K(z,y * u)) | x = K(y,K(z,u)). K(x,K(y,T(x,z) * u)) = K(x,K(y,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). 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 \ T(K(y \ x,z) * x,x)) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). (x \ T(x * K(x / y,z),x)) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). x != T(y,K(z,z \ u)) | x = T(y,K(u,z)). ((x / (x / y)) \ z) * K(y \ x,y) = T(y \ z,K(x,y)). T((T(x,y) \ z) * x,K(x,y)) / x != u | T(z / T(x,y),x) = u. T(x / T(y,z),y) = T(T(y,z) \ x,K(y,z)). T(T(x,y) \ z,K(x,y)) = T(z / T(x,y),x). T(K(x,x * T(y,z)),u) = K(x,T(T(x * T(y,z),u),y)). K(x,T(T(x * T(y,z),u),y)) = T(K(x,x * T(y,z)),u). K(x,T(T(x * T(y,z),u),y)) != w | K(x,T(x * T(y,z),u)) = w. T(x,K(y,z)) * z != u | T(x * z,K(y,z)) = u. T(x,T(y * K(z,y),u)) = T(x,T(T(y,z),u)). T(x,y) \ L(T(x,y),z,u) = T(T(x,y) \ L(T(x,y),z,u),x). T(T(x,y) \ L(T(x,y),z,u),x) = T(x,y) \ L(T(x,y),z,u). T(T(x,y) \ ((z * (1 / T(x,y))) \ z),x) = T(x,y) \ L(T(x,y),T(x,y) \ 1,z). K(x,L(T(y,z),u,z / (u * x))) = K(z / ((z / (u * x)) * u),y). K(x,L(T((y \ (z \ y)) * y,u * (T(1 / z,y) \ 1)),T(1 / z,y) \ 1,u)) = K(x,(u * y) / (u * (T(1 / z,y) \ 1))). K(L(x \ y,x,x \ z),T(u,z)) = K(((z / x) * y) / z,u). K(x \ y,L(T(z,u),x,x \ u)) = K(((u / x) * y) / u,z). x != K(y \ z,L(u,y,w)) | x = K(y \ z,L(u,z,w)). K(((x / y) * z) / x,u) = K(y \ z,L(T(u,x),z,y \ x)). K(x \ y,L(T(z,u),y,x \ u)) = K(((u / x) * y) / u,z). x != K(L(T(y,z),u,w),v5) | x = K(L(y,u,w),T(v5,z)). K((x * (y * z)) / (x * z),u) = K(L(y,z,x),T(T(u,x * z),z)). K(L(x,y,z),T(T(u,z * y),y)) = K((z * (x * y)) / (z * y),u). K(L(x,y,z),T(T(u,y),z * y)) = K((z * (x * y)) / (z * y),u). x != T(K(y,L(z,u,w)),v5) | x = K(y,L(T(z,v5),u,w)). K(x,L(y,z,u)) = K(x,L(T(T(y,w),w),z,u)). K(x,L(T(T(y,z),z),u,w)) = K(x,L(y,u,w)). K(x,L(T(y \ z,y),u,w)) = K(x,L(z / y,u,w)). K(x,L(T(T(y \ z,u),y),w,v5)) = K(x,L(T(z / y,u),w,v5)). K(x,L(T(y,z),u,w)) = K(x,L(y * K(z,y),u,w)). K(x,L(y * K(z,y),u,w)) = K(x,L(T(y,z),u,w)). x != K(y,L(T(T(z \ u,w),z),v5,v6)) | x = K(y,L(T(T(z \ u,w),u),v5,v6)). K(x,L(T(y / z,u),w,v5)) = K(x,L(T(T(z \ y,u),y),w,v5)). K(x,L(T(T(y \ z,u),z),w,v5)) = K(x,L(T(z / y,u),w,v5)). K(x,L(T(T(y,z),u),w,v5)) = K(x,L(T(u / (u / y),z),w,v5)). K(x,L(T(y / (y / z),u),w,v5)) = K(x,L(T(T(z,u),y),w,v5)). K(x,L(T(y \ z,z),u,w)) = K(x,L(z / y,u,w)). (x / y) \ T(x,K(z,u)) = y * K(z,K(u,((x / y) \ 1) \ y)). (K(x,y) * K(z,K(x,u \ 1))) / u = T(K(x,y) / u,K(z,x)). (K(x,y) * K(x,K(z,u \ 1))) / u = T(K(x,y) / u,K(z,x)). (K(x,y) * K(x,K(z,u))) / u = T(K(x,y) / u,K(z,x)). x != (K(y,z) * K(y,K(u,w))) / w | x = T(K(y,z) / w,K(u,y)). K(x,y) / T(z,K(x,u)) = T(K(x,y) / z,K(u,x)). K(x,y) / T(z,K(x,u)) = T(K(x,y) / z,K(x,u)). (x * T(K(y,z) \ u,K(y,z))) * K(y,z) = (x * (K(z,y) * u)) * (u / (u / K(y,z))). (x * T(K(y,z) \ u,K(y,z))) * K(y,z) = (x * (K(z,y) * u)) * K(y,T(z,u)). (x * (y * K(z,u))) * K(u,z) = (x * (K(z,u) * y)) * K(u,T(z,y)). (x * (K(y,z) * u)) * K(z,T(y,u)) = (x * (u * K(y,z))) * K(z,y). a(x,y * K(z,y),z) != u | a(x,y,T(z,y)) = 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 * T(y,x)) * z) / (x * T(y,x))) * ((y * x) / y)) * y = (y * x) * R(z,x,T(y,x)). ((((x * T(y,x)) * z) / (x * T(y,x))) * ((y * x) / y)) * y = (y * x) * R(z,x,y). ((((x * y) * z) / (y * T(x,y))) * ((x * y) / x)) * x = (x * y) * R(z,y,x). ((((x * y) * z) / (x * y)) * ((x * y) / x)) * x = (x * y) * R(z,y,x). ((((x * y) * z) / (y * x)) * y) * x = (x * y) * R(z,y,x). x != (y * K(z,u)) * T(u,w) | x = y * (T(u,w) * K(z,u)). (x * (y * K(z,y))) * K(y,u) = x * (T(y,u) * K(z,y)). ((x * (1 / y)) * K(z,y)) \ x = T((x * (1 / y)) \ x,z). (x * (1 / T(y,z))) \ x = T((x * (1 / y)) \ x,z). ((x / (1 / y)) * (1 / T(y,z))) \ (x / (1 / y)) = T(x \ (x / (1 / y)),z). T(T(x,y) \ T((z * (1 / x)) \ z,y),x) = T(x,y) \ L(T(x,y),T(x,y) \ 1,z). T(x \ ((y * (1 / x)) \ y),x) = T(x,z) \ L(T(x,z),T(x,z) \ 1,y). x != T(y \ ((z * (1 / y)) \ z),y) | x = y \ L(y,y \ 1,z). T(x,y) \ L(T(x,y),T(x,y) \ 1,z) = x \ L(x,x \ 1,z). T(x,y) \ L(T(x,y),x \ 1,z) = x \ L(x,x \ 1,z). R(x,K(y,z) / z,L(T(z,y),z \ 1,x)) = x / (z \ L(z,z \ 1,x)). (x / (y \ L(y,y \ 1,x))) \ 1 = x \ ((K(z,y) / y) * ((x * (K(z,y) / y)) \ x)). x \ ((K(y,z) / z) * ((x * (K(y,z) / z)) \ x)) = (x / (z \ L(z,z \ 1,x))) \ 1. x \ ((K(y,z) / z) * L(T(z,y),z \ 1,x)) = (x / (z \ L(z,z \ 1,x))) \ 1. x \ (T(y,z) \ L(T(y,z),y \ 1,x)) = (x / (y \ L(y,y \ 1,x))) \ 1. x \ (y \ L(y,y \ 1,x)) = (x / (y \ L(y,y \ 1,x))) \ 1. (x / (y \ L(y,y \ 1,x))) \ 1 = x \ (y \ L(y,y \ 1,x)). (x * K(y,z)) \ (x / (1 / z)) = T(x \ (x / (1 / z)),y). (x \ 1) * T(y \ (y / (1 / x)),x \ 1) = x \ (y \ (y / (1 / x))). (x \ 1) * (y \ (y / (x \ 1))) = x \ (y \ (y / (1 / x))). (((1 * x) \ 1) \ 1) * (y \ (y / T(1 * x,x \ 1))) = ((1 * x) \ 1) \ (y \ (y / (1 / ((1 * x) \ 1)))). ((x \ 1) \ 1) * (y \ (y / T(1 * x,x \ 1))) = ((1 * x) \ 1) \ (y \ (y / (1 / ((1 * x) \ 1)))). ((1 * x) \ 1) \ (y \ (y / (1 / ((1 * x) \ 1)))) = ((x \ 1) \ 1) * (y \ (y / T(1 * x,x \ 1))). ((1 * x) \ 1) \ (y \ (y / (1 / ((1 * x) \ 1)))) = ((x \ 1) \ 1) * (y \ (y / T(x,x \ 1))). ((1 * x) \ 1) \ (y \ (y / (1 / ((1 * x) \ 1)))) = ((x \ 1) \ 1) * T(y \ (y / x),x). x != ((y \ 1) \ 1) * T(z,y) | x = z * T(y,y \ 1). ((1 * x) \ 1) \ (y \ (y / (1 / ((1 * x) \ 1)))) = (y \ (y / x)) * T(x,x \ 1). x != (y \ (y / z)) * T(u,z \ 1) | x = u * (y \ (y / z)). ((1 * x) \ 1) \ (y \ (y / (1 / ((1 * x) \ 1)))) = x * (y \ (y / x)). (x \ 1) \ (y \ (y / (1 / ((1 * x) \ 1)))) = x * (y \ (y / x)). (x \ 1) \ (y \ (y / (1 / (x \ 1)))) = x * (y \ (y / x)). (x \ 1) \ (y \ (y / x)) = x * (y \ (y / x)). K(x \ 1,x) * (x * (y \ (y / x))) = (1 / x) \ (y \ (y / x)). K(x \ (x / y),(x \ (x / y)) \ 1) * (y * (x \ (x / y))) = (y \ 1) \ T(x \ (x / y),(x \ (x / y)) \ 1). K(x \ (x / y),y) * (y * (x \ (x / y))) = (y \ 1) \ T(x \ (x / y),(x \ (x / y)) \ 1). (x \ 1) \ T(y \ (y / x),(y \ (y / x)) \ 1) = K(y \ (y / x),x) * (x * (y \ (y / x))). x != K(y,z) * (z * y) | x = y * z. (x \ 1) \ T(y \ (y / x),(y \ (y / x)) \ 1) = (y \ (y / x)) * x. (x \ 1) \ (((y \ (y / x)) \ 1) \ 1) = (y \ (y / x)) * x. (x \ 1) \ (y \ (y / ((x \ 1) \ 1))) = (y \ (y / x)) * x. x * (K(x \ 1,x) * (y \ (y / x))) = (1 / x) \ (y \ (y / x)). x * T(y \ (y / x),x) = (1 / x) \ (y \ (y / x)). (1 / x) \ (y \ (y / x)) = x * T(y \ (y / x),x). (1 / x) \ (y \ (y / x)) = (y \ (y / x)) * x. x \ (y \ (y / (x \ 1))) = (y \ (y / (x \ 1))) * (x \ 1). (x \ (x / (y \ 1))) * (y \ 1) = y \ (x \ (x / (y \ 1))). K(((x \ y) \ 1) * z,y \ x) = K((x \ y) \ z,(x \ y) \ 1). K(((x \ y) \ 1) * z,y \ x) = K((x \ y) \ z,y \ x). K(x / (y \ z),z \ y) = K(((y \ z) \ 1) * x,z \ y). K(((x \ y) \ 1) * z,y \ x) = K(z / (x \ y),y \ x). K((((x * y) \ x) \ 1) * z,x \ (x * y)) = K(z / ((x * y) \ x),y). K((((x * y) \ x) \ 1) * z,y) = K(z / ((x * y) \ x),y). 1 * T((x \ 1) * y,K(z,T(u,x \ y))) = T(T((x \ 1) * y,x \ y),K(z,u)). T((x \ 1) * y,K(z,T(u,x \ y))) = T(T((x \ 1) * y,x \ y),K(z,u)). T(T((x \ 1) * y,x \ y),K(z,u)) = T((x \ 1) * y,K(z,T(u,x \ y))). T((x \ 1) * y,K(z,u)) = T((x \ 1) * y,K(z,T(u,x \ y))). T((x \ 1) * y,K(z,T(u,x \ y))) = T((x \ 1) * y,K(z,u)). (x \ 1) * (K(x \ 1,K(y,T(z,x \ L((x \ 1) \ 1,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). (x \ 1) * (K(x \ 1,K(y,T(z,L(x,u,w) * (1 / x)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). (x \ 1) * (K(x \ 1,K(y,T(z,x \ L(x,u,w)))) * L((x \ 1) \ K(K(y,T(z,x \ L((x \ 1) \ 1,u,w))),x \ 1),u,w)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z)). (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)). x != K(y,K(z,u)) * (y \ w) | x = T(y,K(z,u)) \ w. 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 != (y / T(z,u)) * K(z,z \ y) | x = (z * (y / z)) / T(z,u). (x * (y / T(x,z))) / x = (x * (y / x)) / T(x,z). x != (y * (1 / z)) * z | x = R(y,z \ 1,z). (x * (1 / T(y,z))) * T(y,z) = R(x,y \ 1,y). R(x,T(y,z) \ 1,T(y,z)) = R(x,y \ 1,y). R(x,(y \ z) \ 1,T(z / y,y)) = R(x,(z / y) \ 1,z / y). R(x,y \ 1,y) / T((y \ 1) \ 1,z) = x * (T(y,z) \ 1). R(x,(y \ z) \ 1,y \ z) = R(x,(z / y) \ 1,z / y). R(x,(y / z) \ 1,y / z) = R(x,(z \ y) \ 1,z \ y). x * y != R(z,(u / w) \ 1,u / w) | x \ R(z,(w \ u) \ 1,w \ u) = y. x \ R(x,(y \ z) \ 1,y \ z) = a(x,(z / y) \ 1,z / y). a(x,(y \ z) \ 1,y \ z) = a(x,(z / y) \ 1,z / y). a(x,(y / z) \ 1,y / z) = a(x,(z \ y) \ 1,z \ y). a(x,(1 / y) \ 1,1 / y) != z | a(x,y,y \ 1) = z. x * K(y,z) = (x * K(z,u)) * (K(u,z) * K(y,z)). (x * K(y,z)) * (K(z,y) * K(u,y)) = x * K(u,y). x * y != K(z,u) * K(u,z) | T(x,y) = y \ 1. T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = (K(z,x) * K(y,x)) \ 1. (x * K(y,z)) * (K(u,y) * K(z,y)) = x * K(u,y). (K(x,y) * K(x,z)) \ 1 = K(y,x) * K(z,x). x != L(y * K(z,u),K(u,z),w) * K(u,z) | x = K(u,z) * ((w * K(u,z)) \ (w * y)). K(x,y) * L(K(y,x) * z,K(x,y),u) = K(x,y) * ((u * K(x,y)) \ (u * z)). K(x,y) * L(K(y,x) * z,K(x,y),u / K(x,y)) = K(x,y) * (u \ ((u / K(x,y)) * z)). K(x,y) * L(K(y,x) * z,K(x,y),u * K(y,x)) = K(x,y) * (u \ ((u / K(x,y)) * z)). K((((x * y) \ x) \ 1) * z,y) = K(z * (1 / ((x * y) \ x)),y). x != K(y * (1 / z),u) | x = K(y * (z \ 1),u). K((((x * y) \ x) \ 1) * z,y) = K(z * (((x * y) \ x) \ 1),y). x != K((((y * z) \ y) \ 1) * u,z) | x = K(u / ((y * z) \ y),z). K(x * (((y * z) \ y) \ 1),z) = K(x / ((y * z) \ y),z). K(x * (((y * z) \ y) \ 1),z) != u | K(((y * z) \ y) \ x,z) = u. x * (K(x / y,z) * K(x * K(y \ x,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) = T(x * K(x / y,z),x). T(x * K(x / y,z),x) = x * K(T(x,y) / y,z). K(x * T(y,z \ u),u / z) = K(x * y,u / z). K(x * ((y \ z) \ 1),y / z) = K(((y \ z) \ 1) * x,y / z). K(((x \ y) \ 1) * z,x / y) = K(z * ((x \ y) \ 1),x / y). x != K(y * ((z \ u) \ 1),z / u) | x = K((z \ u) \ y,z / u). K(((x \ y) \ 1) * z,x / y) = K((x \ y) \ z,x / y). (K(x,y) * z) * K(K(x,y) * (z * y),y \ 1) = ((y \ K(y,x)) \ z) * (y \ 1). (K(x,y) * z) * K(z * y,y \ 1) = ((y \ K(y,x)) \ z) * (y \ 1). K((x \ y) \ z,T(y / x,u)) = K((y / x) \ z,T(y / x,u)). K((x / y) \ z,T(x / y,u)) = K((y \ x) \ z,T(x / y,u)). x != K(1 / y,T(z,u)) | x = K(1 / T(y,u),z). K(1 / x,T(y,z * x)) = K(1 / T(x,z),y). K(1 / x,T(y,z)) = K(1 / T(x,z / x),y). K(1 / T(x,y / x),z) = K(1 / x,T(z,y)). x != K(1 / T(y,z / y),u) | x = K(1 / (z / (z / y)),u). K(1 / x,T(y,z)) = K(1 / (z / (z / x)),y). K(1 / (x / (x / y)),z) = K(1 / y,T(z,x)). K(1 / (x / y),z) = K(1 / (y \ x),T(z,x)). K(1 / (x \ y),T(z,y)) = K(1 / (y / x),z). K(1 / (x \ y),z) = K(1 / (y / x),T(z,y)). K(1 / (x / y),T(z,x)) = K(1 / (y \ x),z). K(x,T(1 / (y \ x),z)) != u | K(x,T(y / x,z)) = u. K(x,K(y,z)) * K(y,x / y) != u | K(y,T(x / y,z)) = u. (x * y) \ (T(x,z) * y) = L(K(x,T(z,y)),x,u). L(K(x,T(y,z)),x,u) = (x * z) \ (T(x,y) * z). 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). x * K(y,T(z,x)) != K(y,T(z,x)) * u | T(x,K(y,z)) = u. K(x,T(y,z)) * u != z * K(x,T(y,z)) | T(z,K(x,y)) = u. x / K(y,L(T(z,u),u,x / (K(y,z) * u))) = (x / (u * K(y,T(z,u)))) * u. x * K(L(T(y,z),z,x / (K(u,y) * z)),u) = (x / (z * K(u,T(y,z)))) * z. x * K(L(y,z,x / (K(u,y) * z)),T(u,z)) = (x / (z * K(u,T(y,z)))) * z. x * K(L(y,z,x / (K(u,y) * z)),T(u,z)) = (x / (K(u,y) * z)) * z. x * K(y,L(T(z,u),u,x / (K(z,y) * u))) = (x / (K(z,y) * u)) * u. x * a(y,z,K(u,x)) != w | T(x * K(u,x),L(u,z,y)) = w. 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 != K(y,T(z / ((u * T(y,w)) * v5),v6)) | x = K(y,T(z / ((u * y) * v5),v6)). K(x,(y * z) \ (x \ u)) = K(x,T(u / ((y * x) * z),y * z)). K(x,T(y / ((z * x) * u),z * u)) = K(x,(z * u) \ (x \ y)). 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)). 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). K(x,y) = K(x,a(x,z,z \ 1) * y). K(x,a(x,y,y \ 1) * z) = K(x,z). T((a(x,y,y \ 1) * z) * K(x,z),x) = a(x,y,y \ 1) * z. T(a(x,y,y \ 1) * (z * K(x,z)),x) = a(x,y,y \ 1) * z. K(x,T(y,z)) * R(K(y,T(x,z)),u,w) = T(K(x,y) * R(K(y,x),u,w),z). x != T(K(y,z) * R(K(z,y),u \ 1,u),w) | x = K(z,y) \ R(K(z,y),u \ 1,u). 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)). 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)). T(x,K(y,z * (u \ 1))) = T(x,K(T(y,u),u \ z)). T(x,K(T(y,z),z \ u)) = T(x,K(y,u * (z \ 1))). T(x,K(y,z / u)) = T(x,K(y,z * (u \ 1))). T(x,K(y,z * (u \ 1))) = T(x,K(y,z / u)). T(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)). x != T(y,K(z,u / y)) | 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)). T(x \ 1,K(y,z)) * L((x \ 1) \ K(y,K(z * x,x \ 1)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). T(x \ 1,K(y,z)) * L((x \ 1) \ K(y,K(x,z * x)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). T(x \ 1,K(y,z)) * L((x \ 1) \ K(x,K(y,x * z)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). T(x \ 1,K(y,z)) * L((x \ 1) \ K(x,K(y,z)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). T(x \ 1,K(y,z)) * L(T(T(x,K(y,z)),x \ 1),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). K(x \ 1,K(y,z)) * (L(T(x,K(y,z)),u,w) * (x \ 1)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). K(x,K(y,z)) * (L(T(x,K(y,z)),u,w) * (x \ 1)) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = K(x,K(u,w)) * (L(T(x,K(u,w)),y,z) * (x \ 1)). T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = K(x,K(u,w)) * (x \ L(T(x,K(u,w)),y,z)). T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x,K(u,w)) \ L(T(x,K(u,w)),y,z). x != T(y,K(z,u)) \ L(T(y,K(z,u)),w,v5) | x = T(y \ L(y,w,v5),K(z,u)). 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))). 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)). K(x,K(y,z * (u \ 1))) = K(x,K(y,z / u)). 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(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 / z))) = K(x,K(y,u)). K(x,K(y,(z \ 1) / (u / z))) = K(y,K(x,u)). 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. K((T(x,y) / z) / (x / z),u) = K(x,K(y,u)). K((T(x \ L(x,y,z),x * u) / w) / ((x \ L(x,y,z)) / w),v5) = K(x \ L(x,y,z),K(u * x,v5)). K(K(((x \ L(x,y,z)) / u) / (u \ 1),x * w),v5) = K(x \ L(x,y,z),K(w * x,v5)). K(x,K(((y \ L(y,z,u)) / w) / (w \ 1),y * v5)) = K(y \ L(y,z,u),K(v5 * y,x)). x != K(y,K(z / (u \ 1),w)) | x = K(y,K(w,z * u)). K(x \ L(x,y,z),K(u * x,w)) = K(w,K(x * u,((x \ L(x,y,z)) / v5) * v5)). K(x,K(y * z,((y \ L(y,u,w)) / v5) * v5)) = K(y \ L(y,u,w),K(z * y,x)). K(x,K(y * z,y \ L(y,u,w))) = K(y \ L(y,u,w),K(z * y,x)). K(x \ L(x,y,z),K(u * x,w)) = K(w,K(x * u,x \ L(x,y,z))). K(x,K(y * z,z \ L(z,u,w))) = K(x,K(z * y,z \ L(z,u,w))). x != K(y \ L(y,z,u),K(w * y,v5)) | x = K(w,K(v5,y \ L(y,z,u))). 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))). x != K(y,K(z * u,z \ L(z,w,v5))) | x = K(y,K(u * z,z \ L(z,w,v5))). K(x,K(y,z \ L(z,u,w))) = K(x,K(y * z,z \ L(z,u,w))). K(x,K(y * z,z \ L(z,u,w))) = K(x,K(y,z \ L(z,u,w))). K(x,K(y,(1 / z) / u)) = K(x,K(y,u * z)). a(x,y * ((1 / z) / u),K(w,K(v5,u * z))) = a(x,y,K((1 / z) / u,K(w,v5))). T(x,K(y,z)) / (u \ x) = K(x,K(y,z)) * u. (K(x,K(y,z)) * u) \ T(x,K(y,z)) = u \ x. L(x \ y,x,K(y,K(z,u))) = x \ y. a(K(x,K(y,z)),u,u \ x) = 1. a(K(x * y,K(z,u)),x,y) = 1. a(K(K(x,y),z),u,u \ z) = 1. x != 1 | x = K(y,K(z,u)) * K(y,K(z,u)). a(K(K(x,y),z),u,u \ z) = K(w,K(v5,v6)) * K(w,K(v5,v6)). a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(v6,K(w,v5)). a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). a(K(x,K(y,z)),u,u \ x) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). 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(K(y,z),u),w,w \ u) | 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. x != K(y * z,K(u,w) * K(w,R(u,y,z))) | x = K(a(K(u,w),y,z),((y * z) \ K(w,u)) \ 1). 1 = K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1). K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = 1. K(a(K(x,y),z,u),K(x,y) * (z * u)) = 1. 1 * (((K(x,y) * z) * u) / (K(x,y) * (z * u))) = a(K(x,y),z,u). 1 * (K(x,y) * R(K(y,x),z,u)) = a(K(y,x),z,u). K(x,y) * R(K(y,x),z,u) = a(K(y,x),z,u). 1 * (K(x,K(y,z)) * R(K(x,K(y,z)),u,w)) = a(K(x,K(y,z)),u,w). K(x,y) * a(K(x,y),z,u) = R(K(x,y),z,u). R(K(x,y),z,u) * K(y,x) = a(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. L(x,K(y,z),a(K(y,u),w,v5)) = x. K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z * x,u). (x * a(K(y,z),u,w)) * (K(y,z) * R(K(z,y),u,w)) = x. K(a(K(x,y),z,u),w) = K(K(y,x) * K(x,R(y,z,u)),w). K(K(x,y) * K(y,R(x,z,u)),w) = K(a(K(y,x),z,u),w). T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,a(K(z,y),u,w)). (x * a(K(y,z),u,w)) * a(K(z,y),u,w) = x. (T(x,x \ y) * a(K(z,u),w,v5)) \ ((x \ y) \ y) = a(K(u,z),w,v5). x != K(R(y,z,u) \ 1,w) * K(w,R(R(y,z,u),v5,v6) \ 1) | x = R(K(y \ 1,w) * K(w,R(y,v5,v6) \ 1),z,u). a(K(x,R(y,z,u) \ 1),w,v5) = R(K(y \ 1,x) * K(x,R(y,w,v5) \ 1),z,u). R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(y,R(x,w,v5) \ 1),z,u). (a(K(x,y),z,u) * K(x,w)) * v5 = a(K(x,y),z,u) * (K(x,w) * v5). K(x,y) * R(K(y,x),z,u) != w | w = a(K(y,x),z,u). K(x,y) * R(K(y,x),z,u) != w | 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)). R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * a(K(x,y),u,w). x != R(K(y,T(z,u)),w,v5) * (u * K(z,y)) | x = (a(K(y,T(z,u)),w,v5) * K(y,z)) * (K(z,y) * u). x * a(K(y,z),u,w) = (a(K(y,T(z,x)),u,w) * K(y,z)) * (K(z,y) * x). (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = z * a(K(x,y),u,w). x != (a(K(y,z),u,w) * K(y,v5)) * v6 | x = a(K(y,z),u,w) * (K(y,v5) * v6). x * a(K(y,z),u,w) = a(K(y,T(z,x)),u,w) * (K(y,z) * (K(z,y) * x)). a(K(x,T(y,z)),u,w) * (K(x,y) * (K(y,x) * z)) = z * a(K(x,y),u,w). a(K(x,T(y,z)),u,w) * z = z * a(K(x,y),u,w). a(K(x,y),z,u) * w = w * a(K(x,T(y,w)),z,u). x * a(K(y,T(z,x)),u,w) = a(K(y,z),u,w) * x. T(a(K(x,y),z,u),w) = a(K(x,T(y,w)),z,u). K(x,y) * K(y,R(x,z,u)) != w | a(K(y,x),z * x,u) = w. K(x,y) * (a(K(x,y),z,u) * w) = R(K(x,y),z,u) * w. 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). 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). 1 * (K(x,K(y,z)) * K(y,K(z,R(x,u,w)))) = a(K(x,K(y,z)),u,w). 1 * K(x,K(y,z) * K(R(z,u,w),y)) = a(K(z,K(y,x)),u,w). K(x,K(y,z) * K(R(z,u,w),y)) = K(a(K(y,z),u,w),x). R(K(a(K(x,y),z,u),w),K(K(x,w),v5),v6) * v7 = K(y,K(x,w)) * (R(K(K(x,w),y),z,u) * v7). K(a(K(x,y),z,u),w) * v5 = K(y,K(x,w)) * (R(K(K(x,w),y),z,u) * v5). K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v5) = K(a(K(y,x),u,w),z) * v5. x != K(a(K(y,z),u,w),v5) * y | 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)). x != K(a(K(y,z),u,w),v5) | x = K(v5,K(y,z) * K(R(z,u,w),y)). K(x,a(K(y,z),u,w)) = K(y,K(x,z) * K(R(z,u,w),x)). 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). 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). K(a(K(x,y),z,u),w) = a(K(y,K(x,w)),z,u). K(x,a(K(y,z),u,w)) = a(K(x,K(z,y)),u,w). a(K(x,K(y,z)),u,w) = K(a(K(x,y),u,w),z). K(a(K(x,y),z,u),w) = a(K(x,K(y,w)),z,u). a(K(x,K(y,z * u)),z,u) = 1. K(x,y) * (x \ (z * x)) != u | T(K(x,y) * z,x) = u. K(x,y) * T(z,x) != u | T(K(x,y) * z,x) = u. K(x,y) * T(T(z,x),u) != w | T(K(x,y) * T(z,u),x) = w. K(T(x,y) \ z,T(x,u)) != w | K(x \ z,T(x,u)) = w. K(((x \ y) \ y) \ z,T(x,u)) != w | K(x \ z,T(x,u)) = w. K(x \ ((y \ x) * z),T(y,x)) != u | K(y \ z,T(y,x)) = u. K(x \ y,T(x,z)) = y \ ((((x \ z) \ z) \ y) * T(x,x \ z)). x \ ((((y \ z) \ z) \ x) * T(y,y \ z)) = K(y \ x,T(y,z)). a(x,y,z) \ K(a(x,y,z),z \ L(z,y,x)) = 1 / a(x,y,z). a(x,y,z) \ 1 = 1 / a(x,y,z). 1 / a(x,y,z) = a(x,y,z) \ 1. (a(x,y,z) \ 1) \ 1 = a(x,y,z). (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1 = a(x,y,z). (a(x,y,R(x,z,u)) \ 1) \ 1 = a(R(x,z,u),y,x). x != (((y * (z * u)) \ ((y * z) * u)) \ 1) \ 1 | x = T(a(y,z,u),y). a(x,y,z) = T(a(x,y,z),x). T(a(x,y,z),x) = a(x,y,z). x * a(x,y,z) = a(x,y,z) * x. a(x,y,z) * x = x * a(x,y,z). x * a(x,y,z) != u | a(x,y,z) * x = u. T(a(1 / x,y,z),x \ 1) = a(x \ 1,y,z). 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)). (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)). x != a(T(y,z),u,R(T(y,z),w,v5)) | x = a(y,u,R(y,w,v5)). a(x,x \ y,R(T(x,y),z,u)) = a(x,T(x,y) \ y,R(x,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)). x != (y / R(z,u,w)) * R(R(z,v5,z),u,w) | x = y * a(R(z,u,w),v5,L(R(z,u,w),v6,v7)). x * a(y,z,R(y,u,w)) = x * a(R(y,u,w),z,L(R(y,u,w),v5,v6)). 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). 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). x * R(a(x,y,x),z,u) = R(x,y,R(x,x \ z,u)). T(x,y) * R(a(x,z,x),u,w) = R(T(x,y),z,R(x,x \ u,w)). x != R(T(y,z),u,R(T(y,z),w,v5)) | 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)). 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) * a(a(x,y,x),a(x,y,x) \ z,u). ((a(x,y,x) \ z) * u) * a(a(x,y,x),a(x,y,x) \ z,u) = a(x,y,x) \ (z * u). (a(x,y,x) * (K(y,x) * z)) \ (K(x * y,x) * (z * u)) = L(L(u,z,K(y,x)),K(y,x) * z,R(a(x,y,x),K(y,x),z * u)). L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (a(u,z,u) * (K(z,u) * y)) \ (K(u * z,u) * (y * x)). a(a(x,y,x),z,u) = 1. L(x,y,a(z,u,z)) = x. x \ (a(y,z,y) * u) = (a(y,z,y) \ x) \ u. (a(x,y,x) \ z) \ u = z \ (a(x,y,x) * u). x != y | x = T(y,a(z,u,z)). L(x,y,a(z,u,z)) = T(x,a(w,v5,w)). T(x,a(y,z,y)) = L(x,u,a(w,v5,w)). x != L(y \ (z \ u),y,z) | x = (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). (a(x,y,x) * z) / u = a(x,y,x) * (z / u). L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (K(u * z,u) * y) \ (K(u * z,u) * (y * x)). L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = L(x,y,K(u * z,u)). L(L(x,y,K(z,u)),K(z,u) * y,a(u,z,u)) = L(x,y,K(u * z,u)). (a(x,y,x) * (z * (u * w))) \ (((a(x,y,x) * z) * u) * w) = a(a(x,y,x) * z,u,w). (x * a(y,z,y)) * u = a(y,z,y) * (x * u). (L(x,y,x) \ z) * u = a(x,y,x) * ((x \ z) * u). a(x,y,x) * ((x \ z) * u) = (L(x,y,x) \ z) * u. a(x,y,x) \ T(z * a(x,y,x),u) = z * K(z * a(x,y,x),u). a(x,y,x) / z = (1 / z) * a(x,y,x). (1 / x) * a(y,z,y) = a(y,z,y) / x. 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)). 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,x * ((R(x,y,z) * u) \ w)) = K(x,x \ ((x \ u) \ w)). K(x,(x \ y) * z) = K(x,x \ (y * z)). K(x,x \ (y * z)) = K(x,(x \ y) * z). x != K(y,y \ ((y \ z) \ u)) | x = K(y,z \ u). K(x,x * ((R(x,y,z) * u) \ w)) = K(x,u \ w). K(x,y \ x) = K(x,y \ R(x,z,u)). K(x,y \ R(x,z,u)) = K(x,y \ x). K(x,x * (((x * y) * z) \ u)) = K(x,(y * z) \ u). 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). 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(K(x,y),K(x,z),u) = K(x,y). R(K(x,y),z,u) \ 1 = K(y,R(x,z,u)). 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)). 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). x * R(K(x,y),z,u) = T(x,R(y,z,u)). K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z,u). K(x,y) * K(y,R(x,z,u)) != w | a(K(y,x),z,u) = w. a(K(x,y),z * y,u) = a(K(x,y),z,u). K(a(K(x,y),z * y,u),w) = a(K(y,K(x,w)),z,u). K(x,R(x * y,z,u)) = K(R(x,y,z),R(x * y,y * z,u)). K(R(x,y,z),R(x * y,y * z,u)) = K(x,R(x * y,z,u)). K(x,y * (x \ z)) = K(x,(x \ y) * z). K(x,(x \ y) * z) = K(x,y * (x \ z)). a(K(x,y),z * y,u) != w | a(K(x,y),z,u) = w. (a(x,y,x) \ z) \ x = z \ R(x,y,x). T(x,x * y) * a(K(x,y),z,u) = L(T(x,R(y,z,u)),y,x). 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). x != K(R(y,z,u),w) | x = K(y,R(w,z,u)). K(x,R(x * y,z,u)) = K(x,R(R(x * y,y * z,u),y,z)). K(x,R(R(x * y,y * z,u),y,z)) = K(x,R(x * y,z,u)). K(x,y) * (K(x,z) * u) = (K(x,y) * K(x,z)) * u. (K(x,y) * K(x,z)) * u = K(x,y) * (K(x,z) * u). L(x,K(y,z),K(y,u)) = x. 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 != (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,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)). K((x * (K(y,x) / T(x,z))) \ 1,u * (K(w,u) / T(u,v5))) = K(((x \ 1) \ K(y,x)) \ T(x,z),T(u,v5) \ ((u \ 1) \ K(w,u))). K(((x \ 1) \ K(y,x)) \ T(x,z),T(u,w) \ ((u \ 1) \ K(v5,u))) = K((x * (K(y,x) / T(x,z))) \ 1,u * (K(v5,u) / T(u,w))). 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). x != T(a(1 / (y / z),u,(y / z) \ 1),w) | x = a(y \ z,u,y \ z). a((x / y) \ 1,z,(x / y) \ 1) = a(x \ y,z,x \ y). (x * L(y,z,y)) \ y = (x * y) \ R(y,z,y). (a(x,y,x) * (z * (u * w))) \ ((a(x,y,x) * (z * u)) * w) = a(a(x,y,x) * z,u,w). (a(x,y,x) * (z * (u * w))) \ (a(x,y,x) * ((z * u) * w)) = a(a(x,y,x) * z,u,w). L(a(x,y,z),x * (y * z),a(u,w,u)) = a(a(u,w,u) * x,y,z). x != L(y,z,a(u,w,u)) | x = y. a(a(x,y,x) * z,u,w) = a(z,u,w). x != y | x = L(y,z,a(u,w,u)). a(a(x,y,x) * z,u,w) = L(a(z,u,w),v5,a(v6,v7,v6)). L(a(x,y,z),u,a(w,v5,w)) = a(a(v6,v7,v6) * x,y,z). a(x,y,z) = a(a(u,w,u) \ x,y,z). a(a(x,y,x) \ z,u,w) = a(z,u,w). a(R(x,y,x),z,u) = a(x,z,u). a(K(x,x \ y),z,u) = a(K(x,y),z,u). a(K(x * y,x) * z,u,w) = a(K(y,x) * z,u,w). a(K(x,x \ y) * z,u,w) = a(K(x,y) * z,u,w). a(L(R(x,y,x),z,u),w,v5) = a(L(x,z,u),w,v5). a(K(x \ y,x),z,u) = a(K(y,x),z,u). a(K(x \ 1,y),z,u) = a(K(x \ y,y),z,u). a(a(x,y,x) * z,u,w) != v5 | v5 = a(z,u,w). a(a(x,y,x) * z,u,w) != v5 | a(z,u,w) = v5. a(K(x,x \ 1) * y,z,u) != w | a(y,z,u) = w. a(T(x * y,x),z,u) != w | a(y * x,z,u) = w. a((L(x,y,x) \ z) * u,w,v5) != v6 | a((x \ z) * u,w,v5) = v6. a(1 / x,y,z) != u | a(x \ 1,y,z) = u. a(x / y,z,u) = a(K(y,x) * (y \ x),z,u). a(K(x,y) * (x \ y),z,u) = a(y / x,z,u). a(K(x,y) * z,u,w) = a(K(y \ x,y) * z,u,w). a(K(x \ y,x) * z,u,w) = a(K(y,x) * z,u,w). a((x / y) \ z,u,w) = a(K(x,y) * ((y \ x) \ z),u,w). a(K(x,y) * ((y \ x) \ z),u,w) = a((x / y) \ z,u,w). a(K(x,x \ y),z,u) = a(K(y,x \ y),z,u). a(K(x,y \ x),z,u) = a(K(y,y \ x),z,u). x != a(K(y,y \ z),u,w) | x = a(K(y,z),u,w). a(K(x,y \ x),z,u) = a(K(y,x),z,u). a(K(x,y),z,u) = a(K(y \ x,x),z,u). a(K(x \ y,y),z,u) = a(K(y,x),z,u). x != a(K(y \ z,z),u,w) | x = a(K(y \ 1,z),u,w). 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,y),z,u) = a(K(y,x \ 1),z,u). a(K(x,y \ 1),z,u) = a(K(y,x),z,u). a(K(R(x,y * z,u) \ 1,y),w,v5) = a(R(K(y,x),(x * y) * z,u),w,v5). a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(y,x * z,u) \ 1,x),w,v5). x != 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,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u)),w,v5). x != a(K(y,R(z,u,w) \ 1),v5,v6) | x = R(K(z \ 1,y) * K(y,R(z,v5,v6) \ 1),u,w). a(K(x,R(y,z,u)),w,v5) = R(K(x \ 1,y) * K(y,R(x,w,v5) \ 1),z,u). R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(x,R(y,w,v5)),z,u). R(a(K(x,y),z,u),w,v5) = a(K(x,R(y,w,v5)),z,u). a(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,x \ (y * x),L(x,z,u)) = a(x,y,R(x,w,v5)). x / y = a(z,u,z) * ((a(z,u,z) \ x) / y). a(x,y,x) * ((a(x,y,x) \ z) / u) = z / u. a(x,y,x) \ (z / u) = (a(x,y,x) \ z) / u. (a(x,y,x) \ z) / u = a(x,y,x) \ (z / u). x != a(y,z,y) \ u | x = u * (y \ L(y,z,y)). (a(x,y,x) \ z) / u = (z / u) * (x \ L(x,y,x)). (x / y) * (z \ L(z,u,z)) = (a(z,u,z) \ x) / y. (x / y) * (z \ L(z,u,z)) = (L(z,u,z) * (z \ x)) / y. (L(x,y,x) * (x \ z)) / u = (z / u) * (x \ L(x,y,x)). (L(x,y,x) * z) / u = ((x * z) / u) * (x \ L(x,y,x)). ((x * y) / z) * (x \ L(x,u,x)) = (L(x,u,x) * y) / z. a(x,y,x) \ ((x * z) / u) = (L(x,y,x) * z) / u. L(x,y,a(z,u,z)) != w | w = x. L(x,y,K(z * u,z)) != w | w = L(x,y,K(u,z)). L(x,y,K(z * u,z)) != w | L(x,y,K(u,z)) = w. L(x,y,K(z \ (u * w),w)) != v5 | L(x,y,K(z \ u,w)) = v5. L(x,y,K(z \ u,w)) = L(x,y,K(z \ (u * w),w)). L(x,y,K(z \ (u * w),w)) = L(x,y,K(z \ u,w)). L(x,y,K(z,u)) = L(x,y,K(u \ z,u)). L(x,y,K(z \ u,z)) = L(x,y,K(u,z)). L(x,y / z,K(y,z)) = x. (x / T(y,x)) * z = K(x,y) * ((x / y) * z). K(x,y) * ((x / y) * z) = (x / T(y,x)) * z. K(x,y) * ((y / T(x,y)) * z) = (y / x) * z. R(K(x,y),x \ y,z) = K(x,y). R(K(x,x * y),y,z) = K(x,x * y). 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). 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)). 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)). R(K(x,x * (y / z)),x * u,w) = K(R(x,u,w),(z / y) \ x). R(K(x,x * y),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). 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)). K(R(x,y,z),(u / w) \ x) = K(R(x,y,z),x * (w / u)). K(x,R(y,z,u)) != w | R(K(x,y),z,u) = w. x \ (x / (1 / (y / x))) = (x / (1 / (x \ y))) / x. (x / (1 / (x \ y))) / x = x \ (x / (1 / (y / x))). T((x / (1 / (x \ y))) / x,1 / (y / x)) = x \ (x / ((y / x) \ 1)). x != T((y / (1 / (y \ z))) / y,1 / (z / y)) | x = (y / ((y \ z) \ 1)) / y. x \ (x / ((y / x) \ 1)) = (x / ((x \ y) \ 1)) / x. (x / ((x \ y) \ 1)) / x = x \ (x / ((y / x) \ 1)). x * ((x / ((x \ y) \ 1)) / x) = x / ((y / x) \ 1). x != L((y * ((z * y) \ z)) \ 1,y * ((z * y) \ z),y \ 1) | x = ((z * y) \ z) \ (y \ 1). ((x * (1 / (1 / y))) \ x) \ ((1 / y) * 1) = ((x * y) \ x) \ (y \ 1). ((x * (1 / (1 / y))) \ x) \ (1 / y) = ((x * y) \ x) \ (y \ 1). x != ((y * z) \ y) \ (z \ 1) | x = z \ (1 / ((y * z) \ y)). ((x * (1 / (1 / y))) \ x) \ (1 / y) = y \ (1 / ((x * y) \ x)). (L(x,y,z) * u) \ ((x * (x \ u)) * L(T(x,x \ u),y,z)) = a(x,x \ u,L(T(x,x \ u),y,z)). (L(x,y,z) * u) \ (u * L(T(x,x \ u),y,z)) = a(x,x \ u,L(T(x,x \ u),y,z)). a(x,x \ y,L(T(x,x \ y),z,u)) = (L(x,z,u) * y) \ (y * L(T(x,x \ y),z,u)). x != a(y,z,L(T(y,z),u,w)) | x = a(y,z,L(y,u,w)). (L(x,y,z) * u) \ (u * L(T(x,x \ u),y,z)) = a(x,x \ u,L(x,y,z)). 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 != a(y,y \ (z * y),L(y,u,w)) | x = a(y,z,R(y,v5,v6)). a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = a(x,u,R(x,w,v5)). 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 * z,L(z,u,w)) * K(L(z,u,w),y) | x = a(L(z,u,w),L(z,u,w) \ (y * L(z,u,w)),L(z,u,w)). a(x,y,R(x,z,u)) = a(L(x,w,v5),L(x,w,v5) \ (y * L(x,w,v5)),L(x,w,v5)). 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). x != L(a(y,z,y),z,u) | x = a(y,z * K(u,z),y). a(x,y,x) = a(x,y * K(z,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)). a(x,y,x) * (z * u) = z * (u * a(x,y,x)). R(x,y,a(z,u,z)) = x. x \ (y * a(z,u,z)) = (x \ y) * a(z,u,z). ((x * y) * (z * a(u,w,u))) / ((y * z) * a(u,w,u)) = R(R(x,y,z),y * z,a(u,w,u)). (x * (y \ z)) * a(y,u,y) = x * (L(y,u,y) \ z). L(T(x,y),y,a(z,u,z)) = T(x,y * a(z,u,z)). x != y | x = y * 1. R(x,y,a(z,u,z)) = x * 1. x \ (a(y,z,y) * u) = (x \ u) * a(y,z,y). a(x,y,x) * (z * u) = z * (a(x,y,x) * 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). x * y != z * (u * (u \ (z \ w))) | x \ w = y. a(x,y,x) \ z = u * (a(x,y,x) \ (u \ z)). x * (a(y,z,y) \ (x \ u)) = a(y,z,y) \ u. a(x,y,x) * z != (u * a(x,y,x)) * w | z = u * w. (x * a(y,z,y)) * u = x * (a(y,z,y) * u). (a(x,y,x) * (z * u)) \ (z * ((a(x,y,x) * u) * w)) = L(w,a(x,y,x) * u,z). (x * y) \ (x * (a(z,u,z) * (y * w))) != v5 | L(a(z,u,z) * w,y,x) = v5. a(x * (a(y,z,y) * u),w,v5) = a(x * u,w,v5). x != a(y,z,y) \ (u * w) | x = ((a(y,z,y) \ u) * w) * a(a(y,z,y),a(y,z,y) \ u,w). x * (a(y,z,y) \ u) = ((a(y,z,y) \ x) * u) * a(a(y,z,y),a(y,z,y) \ x,u). ((a(x,y,x) \ z) * u) * a(a(x,y,x),a(x,y,x) \ z,u) = z * (a(x,y,x) \ u). (x * (a(y,z,y) \ u)) / w = a(y,z,y) \ ((x * u) / w). x \ (y * (x * a(z,u,z))) = a(z,u,z) * T(y,x * a(z,u,z)). L(x,a(y,z,y),u) = x. (x * (y * (a(z,u,z) * w))) \ ((x * (y * a(z,u,z))) * w) = a(x,y * a(z,u,z),w). x * 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 * a(z,u,z))) * w = (x * y) * (a(z,u,z) * w). (x * (y * (a(z,u,z) * w))) \ ((x * y) * (a(z,u,z) * w)) = a(x,y * a(z,u,z),w). a(x,y,a(z,u,z) * w) = a(x,y * a(z,u,z),w). a(x,y * a(z,u,z),w) = a(x,y,a(z,u,z) * w). a(x,a(y,z,y) * u,w) = a(x,u,a(y,z,y) * w). L(x,a(y,z,y),u) = L(x,w,a(v5,v6,v5)). L(x,a(y,z,y),u) != w | w = x. a(x * K(y,y \ z),u,w) = a(x * K(y,z),u,w). a(x * K(y * z,y),u,w) = a(x * K(z,y),u,w). a(x * K(y \ 1,y * z),u,w) = a(x * K(y \ 1,z),u,w). x != y \ (a(z,u,z) * w) | x = (a(z,u,z) \ y) \ w. a(x,y,x) * (z \ u) = (a(x,y,x) \ z) \ u. (a(x,y,x) \ z) \ u = a(x,y,x) * (z \ u). x \ (y * (a(z,u,z) * w)) = a(z,u,z) * (x \ (y * w)). ((a(x,y,x) \ z) * u) * 1 = z * (a(x,y,x) \ u). (a(x,y,x) \ z) * u = z * (a(x,y,x) \ u). x / (a(y,z,y) \ u) = a(y,z,y) * (x / u). x * y != (a(z,u,z) \ w) * v5 | x \ (w * (a(z,u,z) \ v5)) = y. ((a(x,y,x) \ z) * u) \ (z * (a(x,y,x) \ (u * w))) = L(w,u,a(x,y,x) \ z). (x * (a(y,z,y) \ (u * w))) \ (((a(y,z,y) \ x) * u) * w) = a(a(y,z,y) \ x,u,w). (x * (a(y,z,y) \ u)) \ (u * (a(y,z,y) \ x)) = K(u,a(y,z,y) \ x). (x * (a(y,z,y) \ u)) \ (x * (u * (a(y,z,y) \ w))) = L(w,a(y,z,y) \ u,x). ((x * (a(y,z,y) \ u)) * w) / (u * w) = R(a(y,z,y) \ x,u,w). (x * (a(y,z,y) \ u)) \ (u * (a(y,z,y) \ x)) != w | K(a(y,z,y) \ u,x) = w. (R(x,y,x) \ z) * u = (x \ z) * (a(x,y,x) \ u). (x \ y) * (a(x,z,x) \ u) = (R(x,z,x) \ y) * u. (x * (a(y,z,y) \ u)) * w = (x * u) * (a(y,z,y) \ w). (x * (y * (a(z,u,z) \ w))) \ (((a(z,u,z) \ x) * y) * w) = a(a(z,u,z) \ x,y,w). (x * (y * (a(z,u,z) \ w))) \ ((x * (a(z,u,z) \ y)) * w) = a(a(z,u,z) \ x,y,w). (x * (y * (a(z,u,z) \ w))) \ ((x * y) * (a(z,u,z) \ w)) = a(a(z,u,z) \ x,y,w). a(x,y,a(z,u,z) \ w) = a(a(z,u,z) \ x,y,w). a(a(x,y,x) \ z,u,w) = a(z,u,a(x,y,x) \ w). x != a(a(y,z,y) \ u,w,v5) | x = a(u,w,v5). a(x,y,a(z,u,z) \ w) = a(x,y,w). a(x,y,a(z,u,z) \ w) = a(x,K(v5,v5 \ 1) * y,w). a(x,K(y,y \ 1) * z,u) = a(x,z,a(w,v5,w) \ u). a(x,y,z) = a(x,y,a(u,w,u) * z). a(x,y,a(z,u,z) * w) = a(x,y,w). a(x,y,z \ u) = a(x,y,L(z,w,z) \ u). a(x,y,L(z,u,z) \ w) = a(x,y,z \ w). a(x,y,R(z,u,z) \ w) = a(x,y,z \ w). x != a(y,z,a(u,w,u) * v5) | x = a(y,a(u,w,u) * z,v5). a(x,y,z) = a(x,a(u,w,u) * y,z). a(x,a(y,z,y) * u,w) = a(x,u,w). a(x,y,z) = a(x,a(u,w,u) \ y,z). a(x,a(y,z,y) \ u,w) = a(x,u,w). a(x,R(y,z,y),u) = a(x,y,u). a(x,T(y * z,y),u) = a(x,z * y,u). L(a(x,y,x) * z,u,w) = a(x,y,x) * ((w * u) \ (w * (u * z))). a(x,y,x) * ((z * u) \ (z * (u * w))) = L(a(x,y,x) * w,u,z). a(x,y,x) * ((z * u) \ (z * (u * w))) != v5 | L(a(x,y,x) * w,u,z) = v5. a(x,y,x) * L(z,u,w) = L(a(x,y,x) * z,u,w). a(x,y,x) * L(a(x,y,x) \ z,u,w) = L(z,u,w). x * L(a(x,y,x) * z,u,w) = R(x,y,x) * L(z,u,w). x * L(y * a(x,z,x),u,w) = R(x,z,x) * L(y,u,w). x * L(x \ y,z,u) = R(x,w,x) * L(R(x,w,x) \ y,z,u). R(x,y,x) * L(R(x,y,x) \ z,u,w) = x * L(x \ z,u,w). x != y * L(z * a(y,z,y),u,w) | x = T(y * L(z * K(y,z),u,w),y). R(x,y,x) * L(y,z,u) = T(x * L(y * K(x,y),z,u),x). T(x * L(y * K(x,y),z,u),x) = R(x,y,x) * L(y,z,u). R(x,L(y,z,u),x) = R(x,y,x). x != R(y,z,y) | x = y * a(y,z,y). R(x,L(y,z,u),x) = x * a(x,y,x). R(x,(y * z) \ u,x) = R(x,z \ (y \ u),x). R(x,(y * z) \ y,x) = R(x,z \ 1,x). L(x,y,z) * T(R(u,x,u),R(u,L(x,y,z),u) * x) = T(T(u,u * x) * L(x,y,z),u). R(x,((y * z) * u) \ (y * (z * u)),x) = R(x,a(y,z,u) \ 1,x). x != R(y,(z * u) \ w,y) | x = R(y,u \ (z \ w),y). R(x,a(y,z,u) \ 1,x) = R(x,u \ ((y * z) \ (y * (z * u))),x). R(x,y \ ((z * u) \ (z * (u * y))),x) = R(x,a(z,u,y) \ 1,x). R(x,y \ L(y,z,u),x) = R(x,a(u,z,y) \ 1,x). R(x,a(y,z,u) \ 1,x) = R(x,u \ L(u,z,y),x). x * (y * L(y \ (x \ z),u,w)) = T(y * x,y) * L(T(y * x,y) \ z,u,w). T(x * y,x) * L(T(x * y,x) \ z,u,w) = y * (x * L(x \ (y \ z),u,w)). x * (y * L(y \ (x \ y),z,u)) = T((y * x) * L((y * x) \ y,z,u),y). T((x * y) * L((x * y) \ x,z,u),x) = y * (x * L(x \ (y \ x),z,u)). T(x * (y * L(y \ 1,z,u)),x) = y * (x * L(x \ (y \ x),z,u)). x != y * (z * L(z \ (y \ z),u,w)) | x = (y * L(y \ 1,u,w)) * z. T(x * (y * L(y \ 1,z,u)),x) = (y * L(y \ 1,z,u)) * x. T(x * ((1 / y) * L(y,z,u)),x) = ((1 / y) * L((1 / y) \ 1,z,u)) * x. T(x * (y \ L(y,z,u)),x) = ((1 / y) * L((1 / y) \ 1,z,u)) * x. T(x * (y \ L(y,z,u)),x) = ((1 / y) * L(y,z,u)) * x. T(x * (y \ L(y,z,u)),x) = (y \ L(y,z,u)) * x. R(x,y \ L(y,z,u),x) = x. x != R(y,z \ L(z,u,w),y) | x = R(y,a(w,u,z) \ 1,y). x = R(x,a(y,z,u) \ 1,x). R(x,a(y,z,u) \ 1,x) = x. a(x,y,a(z,u,z) \ w) != v5 | a(x,y,w) = v5. a(x,y,K(z \ u,z)) != w | a(x,y,K(u,z)) = w. a(x,y,K(z,z * u)) != w | a(x,y,K(z,u)) = w. a(x,y,K(z \ (u \ w),u)) != v5 | a(x,y,K(z \ w,u)) = v5. a(x * K((y * z) * (z \ 1),y * z),u,w) = a(x * K(z \ 1,z * y),u,w). x \ (a(y,z,y) * u) != w | a(y,z,y) * (x \ u) = w. x \ (y * (z * a(u,w,u))) = (x \ (y * z)) * a(u,w,u). x \ (y * (a(z,u,z) * w)) != v5 | a(z,u,z) * (x \ (y * w)) = v5. (x * (a(y,z,y) \ u)) \ (x * (a(y,z,y) \ (u * w))) = L(w,u,a(y,z,y) \ x). (x * (a(y,z,y) \ u)) \ (x * (u * (a(y,z,y) \ w))) = L(w,u,a(y,z,y) \ x). 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,y,x) \ x = L(x,L(y,z,u),x). L(x,L(y,z,u),x) = a(x,y,x) \ x. x != a(y,z,y) \ y | x = L(y,z,y). L(x,L(y,z,u),x) = L(x,y,x). L(x,a(y,z,u),x) = L(x,L(u,z,y) \ u,x). L(x,L(y,z,u) \ y,x) = L(x,a(u,z,y),x). L((x \ y) \ (z * a(u,w,u)),x \ y,x) = (y \ (x * z)) * a(u,w,u). T(x,y * a(z,u,z)) = T(x,y). T(x,y * a(z,u,z)) != w | w = T(x,y). T(x,y * a(z,u,z)) != w | T(x,y) = w. x * y != T(z,u * a(w,v5,w)) | x \ T(z,u) = y. x \ T(x,y) = K(x,y * a(z,u,z)). K(x,y * a(z,u,z)) = x \ T(x,y). T(x,(y * z) * y) = T(x,y * (z * y)). T(x,T(y,z) / z) = T(x,z \ y). T(x,y * z) = T(x,y * L(z,u,z)). T(x,y * L(z,u,z)) = T(x,y * z). T(x,a(y,z,y) * u) = T(x,u). T(x,y) = T(x,a(z,u,z) \ y). T(x,a(y,z,y) \ u) = T(x,u). T(x,T(y * z,y)) = T(x,z * y). T(x,y * R(z,u,z)) = T(x,y * z). T(x,a(y,z,y) \ u) = x * K(x,u). T(x,(y \ z) * T(y,z)) = T(x,z). T(x,y * (a(z,u,z) \ w)) = T(x,y * w). K(x,a(y,z,y) \ u) = K(x,u). K(x,y) = K(x,a(z,u,z) * y). K(x,a(y,z,y) * u) = K(x,u). K(x,(y \ R(y,z,y)) \ u) = K(x,u). K(x,y \ z) = K(x,L(y,u,y) \ z). K(x,L(y,z,y) \ u) = K(x,y \ u). K(x,y * (a(z,u,z) \ w)) = K(x,y * w). a(x,L(y,z,y),u) = a(x,y,u). K(x,y * z) * T(x,y) = T(T(x,y),z * y). T((x * y) \ z,K(x * y,x)) = T(z / (x * y),y * x). T(x,T(y * z,y)) = x * K(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). T(x,T(y,z)) = T(x,(z \ y) * z). T(x,(y \ z) * y) = T(x,T(z,y)). K(x,y) * T(x,z * y) = T(T(x,y),y * z). T((x * (y / x)) \ z,K(x * (y / x),x)) = T(z / (x * (y / x)),y). (x * (y / x)) \ x = T(x / (x * (y / x)),y). T(x / (x * (y / x)),y) = (x * (y / x)) \ x. T((x * (y / x)) \ z,K(y,x)) = T(z / (x * (y / x)),y). T(T(x,y * z),K(y,z)) = T(x,z * y). T(T(x,K(y,z)),y * z) = T(x,z * y). T(x,y * z) \ T(x,K(z,y)) = K(z * y,T(x,K(z,y))). T(T(x,y * z),K(y,z)) != u | u = T(x,z * y). T(T(x,y * z),K(y,z)) != u | T(x,z * y) = u. T(x,y * R(x,z,u)) != w | T(x,R(x,z,u) * y) = w. T(T(x,K(y,z)),z * y) != u | T(x,y * z) = u. T(x,y * z) \ T(x,K(y,z)) = K(z * y,T(x,K(z,y))). K(x * y,T(z,K(x,y))) != u | K(z,K(y,x)) * K(y * x,z) = u. T((x * (y / x)) \ z,K(x,x \ y)) = T(z / (x * (y / x)),y). x != T((y * (z / y)) \ u,K(y,y \ z)) | x = (z \ u) * K(y \ z,y). T(x / (y * (z / y)),z) = (z \ x) * K(y \ z,y). (x \ y) * K(z \ x,z) = T(y / (z * (x / z)),x). (x \ y) \ (K(y,(x \ y) \ 1) * z) = T(y / (y * (x / y)),x) \ z. (x \ y) \ (K(y,(x \ y) \ 1) * z) = ((y * (x / y)) \ y) \ z. K(x,(y \ x) \ 1) * ((y \ x) \ z) = ((x * (y / x)) \ x) \ z. K(x,x \ y) * ((y \ x) \ z) = ((x * (y / x)) \ x) \ z. a(((x * (y / x)) \ x) \ z,u,w) = a(K(x,y) * ((y \ x) \ z),u,w). x != a(K(y,z) * ((z \ y) \ u),w,v5) | x = a((y / z) \ u,w,v5). a(((x * (y / x)) \ x) \ z,u,w) = a((x / y) \ z,u,w). a((x \ (x / (x / y))) \ z,u,w) = a((y / x) \ z,u,w). L(x,y,z) \ (L(x / a(u,w,u),y,z) * v5) = L(a(u,w,u) \ v5,a(u,w,u),L(x / a(u,w,u),y,z)). L(a(x,y,x) \ z,a(x,y,x),L(u / a(x,y,x),w,v5)) = L(u,w,v5) \ (L(u / a(x,y,x),w,v5) * z). (x * L(y,z,y)) \ u = a(y,z,y) * ((x * y) \ u). a(x,y,x) * ((z * x) \ u) = (z * L(x,y,x)) \ u. a((x * L(y,z,y)) \ u,w,v5) = a((x * y) \ u,w,v5). a((x * L(T(y,x),z,T(y,x))) \ u,w,v5) = a((y * x) \ u,w,v5). a((x * ((x \ y) * x)) \ z,u,w) = a((y * x) \ z,u,w). a((x * L(T(y,x),z,y)) \ u,w,v5) = a((y * x) \ u,w,v5). a((L(x,y,x) * z) \ u,w,v5) = a((x * z) \ u,w,v5). a((L(x * y,z,x * y) * K(u,L(w,y,x))) \ v5,v6,v7) = a((x * (y * K(u,w))) \ v5,v6,v7). T(x,y * (z \ y)) = T(x,(y / z) * ((z * K(z \ y,z)) * (y / z))). T(x,(y / z) * ((z * K(z \ y,z)) * (y / z))) = T(x,y * (z \ y)). T(x,(y / z) * y) = T(x,y * (z \ y)). T(x,T(y * z,u)) = T(x,T(T(z * y,u),z)). T(x,T(T(y * z,u),y)) = T(x,T(z * y,u)). x * T(y,z) != T(T(y,z),u) | x = K(y,T(u,z)). K(x,y * z) = K(x,T(z * y,y)). K(x,T(y * z,z)) = K(x,z * y). x * y != T(y,z) | x = K(y,z). K(x,y * z) = K(T(x,y),z * y). K(T(x,y),z * y) = K(x,y * z). K(x / y,z * y) = K(y \ x,y * z). K(x \ y,z * y) = K(y / x,y * z). K(x / y,x * z) = K(y \ x,z * x). K(x \ y,z * x) = K(y / x,x * z). K(x / y,y * z) = K(y \ x,z * y). L(x,y * z,K(u,z * y)) != w | w = x. K(x,y * z) * y = y * K(x,z * y). K(x,T((y \ 1) * z,y)) = K(x,z * (y \ 1)). K(x,T(y * z,y)) = K(x,z * y). x * y != z * K(u,w * z) | x \ (K(u,z * w) * z) = y. T(x,K(y,z * x)) \ (K(y,x * z) * x) = T(K(y,z * x),x). K(x \ (y \ x),x * z) = K(y \ 1,z * x). K(x,T((1 / y) * z,y)) = K(x,z * (1 / y)). K(x,T(y * (z \ x),z)) = K(x,(z \ x) * y). K(x,L(y \ 1,y,z) \ z) = K(x,y * z). K(x,T(y,z)) = K(x,(z \ y) * z). K(x,(y \ z) * y) = K(x,T(z,y)). K(x \ y,z * x) != u | K(y / x,x * z) = u. x != K(y,T(R(z,u,w) * (z \ y),z)) | x = K(y,y * (z \ R(z,u,w))). K(x,(y \ x) * R(y,z,u)) = K(x,x * (y \ R(y,z,u))). (a(x,y,x) * (z * u)) \ (z * (a(x,y,x) * (u * w))) = L(w,a(x,y,x) * u,z). a(x,y,x) * ((a(x,y,x) * (z * u)) \ (z * (u * w))) = L(w,a(x,y,x) * u,z). a(x,y,x) * ((z * u) \ (a(x,y,x) \ (z * (u * w)))) = L(w,a(x,y,x) * u,z). a(x,y,x) * ((z * u) \ (z * (a(x,y,x) \ (u * w)))) = L(w,a(x,y,x) * u,z). a(x,y,x) * ((z * u) \ (z * (u * (a(x,y,x) \ w)))) = L(w,a(x,y,x) * u,z). L(a(x,y,x) * (a(x,y,x) \ z),u,w) = L(z,a(x,y,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,y,z) = L(x,a(u,w,u) \ y,z). L(x,a(y,z,y) \ u,w) = L(x,u,w). L(x,y * a(z,u,z),w) = L(x,y,w). x != L(y,a(z,u,z) \ w,v5) | x = (v5 * (a(z,u,z) \ w)) \ (v5 * (w * (a(z,u,z) \ y))). L(x,y,z) = (z * (a(u,w,u) \ y)) \ (z * (y * (a(u,w,u) \ x))). (x * (a(y,z,y) \ u)) \ (x * (u * (a(y,z,y) \ w))) = L(w,u,x). x != (y * (a(z,u,z) \ w)) \ (y * (w * (a(z,u,z) \ v5))) | x = L(v5,w,a(z,u,z) \ y). L(x,y,z) = L(x,y,a(u,w,u) \ z). L(x,y,a(z,u,z) \ w) = L(x,y,w). L(x,y,z) = L(x,y,R(z,u,z)). L(x,y,R(z,u,z)) = L(x,y,z). L(x,y,L(z,u,z)) = L(x,y,z). L(x,y,K(z,z * u)) = L(x,y,K(z,u)). L(x,y,z) = L(x,y,z * a(u,w,u)). L(x,y,z * a(u,w,u)) = L(x,y,z). L(x,y,z \ u) = L(x,y,L(z,w,z) \ u). L(x,y,L(z,u,z) \ w) = L(x,y,z \ w). L(x,y,z * (a(u,w,u) \ v5)) = L(x,y,z * v5). L(x,y,K(z,z \ u)) = L(x,y,K(z,u)). L(x,y,T(z * u,z)) = L(x,y,u * z). L(x,y \ z,K(y,z)) = x. L(x,y,K(z \ u,z)) = L(x,y,K(z \ u,u)). L(x,y,K(z \ u,u)) = L(x,y,K(z \ u,z)). L(x,T(y,z) / z,u) = L(x,z \ y,u). x != L(y,z / u,u) | x = L(y,u \ z,u). L(x,y \ z,y) = L(x,y \ T(z,y),y). L(x,y \ T(z,y),y) = L(x,y \ z,y). K(x,y) * a(z,z \ u,K(y,x)) = K(x,L(y,z \ T(u,z),z)). K(x,L(y,z \ T(u,z),z)) = K(x,y) * a(z,z \ u,K(y,x)). R(x,y,a(z,u,z)) != w | w = x. ((x * y) * (z * a(u,w,u))) / (y * (z * a(u,w,u))) = R(R(x,y,z),y * z,a(u,w,u)). R(x,y,z * a(u,w,u)) = R(R(x,y,z),y * z,a(u,w,u)). R(R(x,y,z),y * z,a(u,w,u)) = R(x,y,z * a(u,w,u)). R(x,y,z * a(u,w,u)) = R(x,y,z). R(x,y,z * K(u,u \ 1)) = R(x,y,z). R(x,y,R(z,u,z)) = R(x,y,z). R(x,y,z) = R(x,y,a(u,w,u) \ z). R(x,y,a(z,u,z) \ w) = R(x,y,w). R(x,y,(z \ u) \ u) = R(x,y,T(z,u)). x != R(y,z \ u,(z \ u) \ u) | x = R(y,z \ u,z). R(x,y \ z,T(y,z)) = R(x,y \ z,y). x != R(y / (z \ u),z \ u,T(z,u)) | x = (y * T(z,u)) / (K(z,u) * ((z \ u) * z)). R(x / (y \ z),y \ z,y) = (x * T(y,z)) / (K(y,z) * ((y \ z) * y)). (x * T(y,z)) / (K(y,z) * ((y \ z) * y)) = R(x / (y \ z),y \ z,y). x != R(y / (z \ u),z \ u,z) | x = (y * T(z,z \ u)) / u. (x * T(y,z)) / (K(y,z) * ((y \ z) * y)) = (x * T(y,y \ z)) / z. (x * T(y,z)) / ((y \ z) * T(y,z)) = (x * T(y,y \ z)) / z. ((x * y) * (a(z,u,z) \ w)) / (y * w) = R(a(z,u,z) \ x,y,w). x != (y * (a(z,u,z) \ w)) / v5 | x = a(z,u,z) \ ((y * w) / v5). 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(x,y,z) / a(u,w,u) = R(a(u,w,u) \ x,y,z). R(x * a(y,z,y),u,w) / a(y,z,y) = R(x,u,w). R(x,y,z) * a(u,w,u) = R(x * a(u,w,u),y,z). R(x,y,z) * u != R(x * a(w,x,w),y,z) | u = a(w,R(x,y,z),w). a(x,y,x) = a(x,R(y,z,u),x). a(x,R(y,z,u),x) = a(x,y,x). 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). R(a(x,y,x) * z,u,w) * v5 = a(x,y,x) * (R(z,u,w) * v5). a(x,y,x) * R(z,u,w) = R(a(x,y,x) * z,u,w). T(x \ R(a(y,x \ 1,y) * (a(y,x \ 1,y) \ x),z,u),y) = y \ T(y * (x \ R(x,z,u)),y). T(x \ R(x,y,z),u) = u \ T(u * (x \ R(x,y,z)),u). x \ T(x * (y \ R(y,z,u)),x) = T(y \ R(y,z,u),x). x != a(y,z,y) | 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). 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). 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). T(x * R(x \ y,z,u),y) = R(x \ y,z,u) * T(x,x \ y). R(x \ y,z,u) * T(x,x \ y) = T(x * R(x \ y,z,u),y). (x * R(y,z,u)) / (R(y,z,u) * T(x,y)) = K(x * y,x * R(y,z,u)). R(x \ y,z,u) * ((x \ y) \ y) = T(x * R(x \ y,z,u),y). 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)). x != T(a(K(y,z),u,w),v5) | x = a(K(y,T(z,v5)),u,w). 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). x != K(y,z) | x = R(K(y,z),z,u). a(K(x,y),z * y,u) = R(K(x * y,x * R(y,z,u)),x * R(y,z,u),w). 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). 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,(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). x != K(y,y * z) | x = (y * K(z,y)) \ L(y,z,y). 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). T(x \ R(x,y,z),u) \ (u \ (u * (x \ R(x,y,z)))) = a(K(u,x),y * x,z). T(x \ R(x,y,z),u) \ (x \ R(x,y,z)) = a(K(u,x),y * x,z). K(x,y \ R(y,z,u)) = a(K(x,y),z * y,u). K(x,K(y,z \ R(z,u,w))) = a(K(x,K(z,y)),u * z,w). 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. K(x,T(y * z,u)) = K(x,T(T(z * y,u),z)). K(x,T(T(y * z,u),y)) = K(x,T(z * y,u)). K(x \ y,T(x * z,u)) = K(y / x,T(z * x,u)). K(x / y,T(z * y,u)) = K(y \ x,T(y * z,u)). K(x,T(y * x,z)) != u | K(x,T(x * y,z)) = u. K(x,T(y * z,z)) != u | K(x,z * y) = u. K(x,T(y * z,y)) != u | K(x,z * y) = u. K(x,T((y * z) * T(u,z),u * z)) != w | K(x,(u * z) * R(y,z,u)) = w. K(x / y,y * z) != u | K(y \ x,z * y) = u. T(x,y / T(z,y)) = T(x,z \ y). x / T(x,y \ z) = K(T(z,y) / y,x). K(T(x,y) / y,z) = z / T(z,y \ x). 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). 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). a(x,y,K(z,u)) = K(z * L(u,y,x),z * u). K(x * L(y,z,u),x * y) = a(u,z,K(x,y)). K(x,(x / L(y,z,u)) * y) = a(u,z,K(x / L(y,z,u),y)). 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,y,a(z,u,K(y,w))) = x. L(x,y,a(z,u,K(x,w))) = x. 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)). (x * K(L(y,z,u) \ y,x)) \ L(x,a(u,z,y),x) = a(u,z,K(x,y)). K(x,L(y,z,u) \ y) * (x \ L(x,a(u,z,y),x)) = a(u,z,K(x,y)). x \ L(T(x,L(y,z,u) \ y),a(u,z,y),x) = a(u,z,K(x,y)). 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)). x * a(y,z,K(u,x)) = T(x,x * (u \ L(u,z,y))). T(x,x * (y \ L(y,z,u))) = x * a(u,z,K(y,x)). a(x,y,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))). x != a(y,z,K(u,w \ v5)) | x = a(y,z,K(v5 \ w,u)). 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))). a(x,T(y,z),a(u,w,K(y,v5))) * K(v5,L(y \ L(y,w,u),y,x)) = K(v5,y \ L(y,w,u)). 1 * K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). 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)). x != K(y,a(z,u \ 1,u) \ 1) | x = 1. K(x,y \ L(y,y \ 1,z)) = 1. x * K(x,y \ L(y,z,u)) = T(x,a(u,z,y) \ 1). K(x,K(y,z \ L(z,u,w))) = K(x,K(y,a(w,u,z))). 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(a(x,y,z),u) * a(x * y,z,a(x,y,K(z,u))) = K(L(z,y,x) \ z,u). K(a(x,y,z),u) * 1 = K(L(z,y,x) \ z,u). K(L(x,y,z) \ x,u) = K(a(z,y,x),u) * 1. K(L(x,y,z) \ x,u) = K(a(z,y,x),u). x / (K(a(y,z,u),w) * x) = K(w,L(u,z,y) \ u). K(x,L(y,z,u) \ y) = w / (K(a(u,z,y),x) * w). K(x,L(y,z,u) \ y) = K(x,a(u,z,y)). x * K(x,a(y,z,u)) = T(x,L(u,z,y) \ u). T(x,L(y,z,u) \ y) = x * K(x,a(u,z,y)). T(x,L(y,z,u) \ y) = T(x,a(u,z,y)). x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(y,z,K(x,u)). K(x,x * a(y,z,u)) = a(y,z,K(x,u)). R(x,y,z) * R(u,x,u) = T(u * R(x,y,z),u). (R(x,y,z) * R(u,x,u)) \ ((u * R(x,y,z)) * u) = T(u,u * R(x,y,z)). x != (y * R(z,u,z)) \ ((z * y) * z) | x = L(T(z,y),u,T(z,y)). T(x,x * R(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,x * R(y,z,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). x * y != a(z,u,z) \ R(w,v5,v6) | x \ R(a(z,u,z) \ w,v5,v6) = y. x \ R(a(y,z,y) \ u,w,v5) = a(y,z,y) \ (x \ R(u,w,v5)). a(x,y,x) \ (z \ R(u,w,v5)) = z \ R(a(x,y,x) \ u,w,v5). x * y != a(z,u,z) \ z | x \ L(z,u,z) = y. x \ L(y,z,y) = a(y,z,y) \ (x \ y). a(x,y,x) \ (z \ x) = z \ L(x,y,x). K(x,R(y,z,y) * u) = K(x,y * u). K(x,y * R(z,u,z)) = K(x,y * z). K(x,(L(y,z,y) \ u) * w) = K(x,(y \ u) * w). K(x,(a(y,z,y) * u) / w) = K(x,u / w). K(x,y * (a(z,u,z) * w)) = K(x,y * w). K(x,y \ (a(z,u,z) * w)) = K(x,y \ w). K(x,y \ z) = K(x,y \ (a(u,w,u) \ z)). K(x,y \ (a(z,u,z) \ w)) = K(x,y \ w). K(x,y \ R(z,u,z)) = K(x,y \ z). K(x,y \ K(z,z \ u)) = K(x,y \ K(z,u)). K(x,y \ T(z * u,z)) = K(x,y \ (u * z)). K(x,y \ T(K(z,u) * w,T(z,u))) = K(x,y \ ((z \ w) * T(z,u))). L(K(x,y \ z),y \ z,y) = K(x,(y * (u \ R(u,w,u))) \ z). K(x,y \ z) = K(x,(y * (u \ R(u,w,u))) \ z). K(x,(y * (z \ R(z,u,z))) \ w) = K(x,y \ w). K(x,(a(y,z,y) * u) \ w) = K(x,u \ w). K(x,T(y * z,y) \ u) = K(x,(z * y) \ u). K(x,K(y * z,y) \ u) = K(x,K(z,y) \ u). K(x,(y * (z * a(u,w,u))) \ v5) = K(x,(y * z) \ v5). K(x,(y * K(z * u,u)) \ w) = K(x,(y * K(z,u)) \ w). K(x,(y * z) \ u) = K(x,(L(y,w,y) * z) \ u). K(x,(L(y,z,y) * u) \ w) = K(x,(y * u) \ w). K(x,(y * T(z * u,z)) \ w) = K(x,(y * (u * z)) \ w). K(T(x,y) / y,z) = K(y \ x,z). K(T(x,y) / y,z) != u | K(y \ x,z) = u. K(x / T(y,x),z) != u | K(y \ x,z) = u. L(x,y,T(z,z \ u)) = L(x,y,T(z,u)). L(x,y,(z \ u) \ u) = L(x,y,T(z,u)). x != K(y,(z * u) \ w) | x = L(K(y,u \ (z \ w)),z \ w,z). K(x,T(y * z,y) \ u) = L(K(x,y \ (z \ u)),z \ u,z). L(K(x,y \ (z \ u)),z \ u,z) = K(x,T(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). 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) \ z) != u | K(x,z / y) = u. T(x,K(y * z,y) * u) = T(x,K(z,y) * u). T(x,y * (a(z,u,z) * w)) = T(x,y * w). x * y != T(z,K(u * w,u) * v5) | x \ T(z,K(w,u) * v5) = y. x \ T(x,K(y,z) * u) = K(x,K(z * y,z) * u). K(x,K(y * z,y) * u) = x \ T(x,K(z,y) * u). T(x,K(y,z) * u) = T(x,K(z \ y,z) * u). T(x,K(y \ z,y) * u) = T(x,K(z,y) * u). x * y != T(z,K(u \ w,u) * v5) | x \ T(z,K(w,u) * v5) = y. x \ T(x,K(y,z) * u) = K(x,K(z \ y,z) * u). K(x,K(y \ z,y) * u) = x \ T(x,K(z,y) * u). T(x,K(y * z,u) * w) = T(x,K(y * (u * z),u) * w). T(x,K(y * (z * u),z) * w) = T(x,K(y * u,z) * w). K(x,K(y \ z,y) * u) = K(x,K(z,y) * u). K(x,K(y \ z,y) * u) != w | K(x,K(z,y) * u) = w. K(x,(T(y,z) * u) \ w) = K(x,(((y \ z) \ z) * u) \ w). K(x,(((y \ z) \ z) * u) \ w) = K(x,(T(y,z) * u) \ w). T(x * K(x / y,z),x) = x * K(y \ x,z). K(x,T(y / z,y) \ u) = K(x,(z \ y) \ u). K(x,y / T(z,y)) = K(x,z \ y). K(x,L(y / z,u,z \ y) \ w) = K(x,(y / z) \ w). K(x,T(y,z) \ u) = K(x,((y \ z) \ z) \ u). K(x,((y \ z) \ z) \ u) = K(x,T(y,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. T(x,a(y,z,y) * u) != w | T(x,u) = w. T(x,T(y * z,y)) != u | T(x,z * y) = u. T(x,K(y * z,y) * u) != w | T(x,K(z,y) * u) = w. T(T(x,K(y,K(z,u))),K(u,z) * y) != w | T(x,y * K(u,z)) = w. T(T(x,K(y,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. a(x,y,x) \ (z \ R(x,u,w)) = z \ R(L(x,y,x),u,w). a(x,y,x) \ (z \ R(x,u,w)) = z \ L(R(x,u,w),y,x). L(a(x,y,x) \ z,a(x,y,x),L(u / a(x,y,x),w,v5)) = L(u,w,v5) \ (L(a(x,y,x) \ u,w,v5) * z). L(a(x,y,x) \ z,a(x,y,x),L(R(x,y,x) / a(x,y,x),u,w)) = L(R(x,y,x),u,w) \ (L(x,u,w) * z). L(R(x,y,x),z,u) \ (L(x,z,u) * w) = a(x,y,x) \ w. L(R(x,y,x),z,u) \ w = a(x,y,x) \ (L(x,z,u) \ w). a(x,y,x) \ (L(x,z,u) \ w) = L(R(x,y,x),z,u) \ w. x != a(y,z,y) \ (u \ R(y,w,v5)) | x = u \ L(R(y,w,v5),z,y). L(R(x,y,x),z,u) \ R(x,w,v5) = L(x,z,u) \ L(R(x,w,v5),y,x). L(R(R(x,y,x),z,R(x,y,x)),y,x) \ R(R(x,y,x),u,w) = x \ L(R(R(x,y,x),u,w),z,R(x,y,x)). L(R(R(x,y,x),z,x),y,x) \ R(R(x,y,x),u,w) = x \ L(R(R(x,y,x),u,w),z,R(x,y,x)). R(x,y,x) \ R(R(x,z,x),u,w) = x \ L(R(R(x,z,x),u,w),y,R(x,z,x)). x \ L(R(R(x,y,x),z,u),w,R(x,y,x)) = R(x,w,x) \ R(R(x,y,x),z,u). x \ L(R(R(x,y,x),z,u),w,x) = R(x,w,x) \ R(R(x,y,x),z,u). R(x,y,x) \ R(R(x,z,x),u,w) = x \ L(R(R(x,z,x),u,w),y,x). R(x,y,x) \ R(R(x,y,x),z,u) = x \ R(x,z,u). (x \ R(x,y,z)) * R(x,u,x) = R(R(x,u,x),y,z). x * y != (z \ R(z,u,w)) * R(z,v5,z) | R(R(z,v5,z),u,w) / y = x. R(R(x,y,x),z,u) / R(x,z,u) = a(x,y,x). x != R(R(y,z,u),w,v5) / R(y,w,v5) | x = R(y,w,v5) \ R(R(y,w,v5),z,u). a(x,y,x) = R(x,z,u) \ R(R(x,z,u),y,x). R(x,y,z) \ R(R(x,y,z),u,x) = a(x,u,x). (x * R(R(y,z,u),w,y)) / L(R(y,z,u),a(y,w,y),x) = x * (R(R(y,z,u),w,y) / R(y,z,u)). (x * R(R(y,z,u),w,y)) / R(y,z,u) = x * (R(R(y,z,u),w,y) / R(y,z,u)). (x * R(R(y,z,u),w,y)) / R(y,z,u) = x * (R(y,z,u) \ R(R(y,z,u),w,y)). (x * R(R(y,z,u),w,y)) / R(y,z,u) = x * a(y,w,y). T(x,y * z) = T(x,T(z * y,y)). T(x,T(y * z,z)) = T(x,z * y). T(x,T(y * z,z)) != u | T(x,z * y) = u. T(x,T(y,z)) = T(x,z * (y / z)). T(x,y * (z / y)) = T(x,T(z,y)). (x * y) * T(z,y * x) = T(z * (x * y),K(x * y,y)). T(x * (y * z),K(y * z,z)) = (y * z) * T(x,z * y). K(x,y) * T(y,x * z) = T(y * K(x,y),z * x). T(x * (y * z),K(y,z)) = (y * z) * T(x,z * y). (x * y) * T(z,y * x) = T(z * (x * y),K(x,y)). x != K(y,(z * u) * (u \ 1)) | x = R(K(y,z),u,u \ 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)). 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)). K(x,K(y,L(z,u,u \ 1))) = K(x,K(y,z)). x != K(y,a(z,u,z) \ w) | x = K(y,w). (x * (a(y,z,y) \ u)) \ (u * (a(y,z,y) \ x)) = K(u,x). K(a(x,y,x) \ z,u) = K(z,u). K(x,y) = K(a(z,u,z) * x,y). K(a(x,y,x) * z,u) = K(z,u). K(a(x,y,x) * z,u) != w | K(z,u) = w. K(x,y) = K(x * a(z,u,z),y). K(x * a(y,z,y),u) = K(x,u). K(x \ y,z) = K(L(x,u,x) \ y,z). K(L(x,y,x) \ z,u) = K(x \ z,u). K(T(x * y,x),z) != u | K(y * x,z) = u. K(K(x,x \ y) * z,u) != w | K(K(x,y) * z,u) = w. K(K(x,y) * z,u) = K(K(x,x \ y) * z,u). K(K(x,x \ y) * z,u) = K(K(x,y) * z,u). T(x,K(y * z,z) * u) != w | T(x,K(y,z) * u) = w. T(x,K(y \ (z * u),u) * w) != v5 | T(x,K(y \ z,u) * w) = v5. K(K(x * y,x) * z,u) = K(K(y,x) * z,u). K(K(x,y) * z,u) = K(K(x,x * y) * z,u). K(K(x,x * y) * z,u) = K(K(x,y) * z,u). K(R(x,y,x) * z,u) = K(x * z,u). K(x / L(y,z,y),u) = K(x / y,u). K(x * (y * a(z,u,z)),w) = K(x * y,w). K(K(x,y) * z,u) = K(K(y \ x,y) * z,u). K(K(x \ y,x) * z,u) = K(K(y,x) * z,u). K(K(x * (y * z),x * y) * u,w) = K(K(L(z,y,x),x * y) * u,w). K(x,T(y,z)) = K(x,z * (y / z)). K(x,y * (z / y)) = K(x,T(z,y)). (T((x \ y) * z,y \ x) * (((x \ y) * z) \ z)) \ u = K(((x \ y) * z) \ z,z * (x \ y)) * (z \ u). x * K(y,x * z) != u | K(y,z * x) * x = u. L(x,y,x * z) = L(x,y,z * x). L(x,y,z * x) = L(x,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)). K(1 / x,x * y) = K(1 / x,y * x). K(1 / x,y * x) = K(1 / x,x * y). x * K(1 / y,z * y) = x * K(1 / y,y * z). x * K(y / z,u * (z / y)) = x * K(1 / (z / y),(z / y) * u). x * K(1 / (y / z),(y / z) * u) = x * K(z / y,u * (y / z)). x * K(y / z,(z / y) * u) = x * K(y / z,u * (z / y)). x != K(y,K(z,u)) * K(z / y,u) | x = K(y \ z,u). K(x,K(y,z * (x / y))) * K(y / x,(x / y) * z) = K(x \ y,z * (x / y)). x * K(y / z,(z / y) * u) != w * K(y / z,u * (z / y)) | x = w. K(x,T(y * z,u)) = K(x,T(T(z * y,u),y)). K(x,T(T(y * z,u),z)) = K(x,T(z * y,u)). T(x,K(y,z * x)) \ (K(y,x * z) * x) = K(y,T(z * x,x)). x != K(y,T(z * u,u)) | x = K(y,u * z). T(x,K(y,z * x)) \ (K(y,x * z) * x) = K(y,x * z). T(x,K(y,z)) \ (K(y,x * z) * x) = K(y,x * z). T(x,K(y,z)) \ (x * K(y,z * x)) = K(y,x * z). K(K(x,y),z) * K(x,y * z) = K(x,z * y). K(x,K(y,z)) * K(y,x * z) = K(y,z * x). K(x,K(y,z)) * K(z,y * x) = K(z,x * y). K(x,K(y,z)) * K(x,z * y) = K(x,y * z). K(x,K(y,z)) * K(x,y * z) = K(x,z * y). K(x,K(y,z)) * K(z,x * y) = K(z,y * x). x * y != K(z,K(u,w)) * K(z,w * u) | K(z,u * w) / y = x. K(x,y * z) / K(x,K(y,z)) = K(x,z * y). K(x,y * z) / (x \ K(x,z * y)) = T(x,K(y,z)). K(x,y * z) * K(u \ K(x,z * y),u) = K(x,K(y,z)) * ((u \ K(x,z * y)) * u). K(x,y * z) * K(x,K(y,z)) = K(x,z * y). T(x,T(y * K(z,u),z * u)) != w | T(x,(z * u) * (y / (u * z))) = w. T(x,L(y,z,y) * u) = T(x,y * u). K(x,y \ T(z,y)) != u | K(x,z / y) = u. K(x,((y / z) \ 1) \ T(u,z / y)) != w | K(x,u / ((y / z) \ 1)) = w. K(x / T(y / z,y),u) = K(x / (z \ y),u). K(x / T(y,z),u) = K(x / ((y \ z) \ 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 * (T(y,z) / z),u) = w / (K(u,x * (z \ y)) * w). K(x * (T(y * z,y * u) / (y * u)),w) = K(x * L(u \ z,u,y),w). x != K(y * (T(z,u) / u),w) | x = K(y * (u \ z),w). K(x * L(y \ z,y,u),w) = K(x * ((u * y) \ (u * z)),w). K(x * L(y \ (K(z,K(u,w)) * v5),y,K(z,u)),v6) = K(x * ((K(z,u) * y) \ (K(z,T(u,w)) * v5)),v6). K(x * (T(y,z) / z),u) != w | K(x * (z \ y),u) = w. K(x * (y / T(z,y)),u) != w | K(x * (z \ y),u) = w. K(x * (T(y,z) / T(T(z,u),u)),w) != v5 | K(x * (T(T(z,u),u) \ y),w) = v5. K(x * (T(y,T(z,u)) / ((u \ z) * u)),w) != v5 | K(x * (((u \ z) * u) \ y),w) = v5. a(x,y,x) \ T(z * a(x,y,x),u) = z * K(z,u). K(x,y * K(z \ u,z)) = K(x,y * K(u,z)). K(x,y * K(z,z * u)) = K(x,y * K(z,u)). K(x,y * (z * L(u,w,u))) = K(x,y * (z * u)). K(x,y * (z \ u)) = K(x,y * (L(z,w,z) \ u)). K(x,y * (L(z,u,z) \ w)) = K(x,y * (z \ w)). K(x,y * (z * (a(u,w,u) \ v5))) = K(x,y * (z * v5)). K(x,y * (z * K(u \ w,u))) = K(x,y * (z * K(w,u))). K(x,y * (z * K(u,w))) = K(x,y * (z * K(u * w,w))). K(x,y * (z * K(u * w,w))) = K(x,y * (z * K(u,w))). K(x,y * (K(z,z * u) * w)) = K(x,y * (K(z,u) * w)). K(x,y * (z * ((u \ w) * u))) = K(x,y * ((z * w) * K(w,u))). K(x,y * ((z * u) * K(u,w))) = K(x,y * (z * ((w \ u) * w))). 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 * T(z,z \ u)) = K(x,y * T(z,u)). K(x,y * ((z \ u) \ u)) = K(x,y * T(z,u)). K(x \ y,z * x) = K(x \ y,z * T(x,y)). K(x \ y,z * T(x,y)) = K(x \ y,z * x). K(x,y * (z \ u)) = K(x,y * T(u / z,u)). K(x,y * T(z / u,z)) = K(x,y * (u \ z)). K(((x \ y) \ y) * z,u) = K(T(x,y) * z,u). K((x \ y) * z,u) = K(T(y / x,y) * z,u). K(T(x / y,x) * z,u) = K((y \ x) * z,u). K(T((x \ y) * z,y \ x) * u,w) = K(T((x \ y) * z,z) * u,w). (a(x,y,K(z,u)) * z) * w = a(x,y,K(z,u)) * (z * w). (a(x,y,K(z,u)) * (w * z)) \ ((a(x,y,K(z,u)) * w) * (z * v5)) = L(v5,L(z,w,a(x,y,K(z,u))),a(x,y,K(z,u)) * w). x != L(y \ z,y,L(u,y,u)) | x = ((u * (y * u)) / u) \ (L(u,y,u) * z). L(x \ y,x,z) = ((z * (x * z)) / z) \ (L(z,x,z) * y). ((x * (y * x)) / x) \ (L(x,y,x) * z) = L(y \ z,y,x). T(x,y \ L(y,y \ 1,z)) = x. ((x \ L(x,x \ 1,y)) \ z) * (x \ L(x,x \ 1,y)) = z. x / (y \ L(y,y \ 1,z)) != u | (y \ L(y,y \ 1,z)) \ x = u. a(x,y / z,x) = a(x,z \ y,x). a(x,y,x) = a(x,T(y,z),x). a(x,T(y,z),x) = a(x,y,x). a(x,(y * z) \ (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). 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(1 / ((x * y) \ x),z,1 / ((x * y) \ x)) * K(T(z,y),1 / ((x * y) \ x)) = K(z * (1 / ((x * y) \ x)),1 / ((x * y) \ x)). K(x,T(y,z) / z) = K(x,z \ y). T(x,T(y,z) * z) = T(x,T(y * z,y)). T(x,T(y * z,y)) = T(x,T(y,z) * z). L(x,y,(x \ z) * x) = L(x,y,z). 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). K(x,y * a(z,u,z)) != w | K(x,y) = w. T(x,y * T(z,z * u)) = T(x,y * T(z,u)). T(x,y * T(z,z \ u)) = T(x,y * T(z,u)). R(x,y,R(z,u,z) \ w) = R(x,y,z \ w). 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,y \ T(z,z \ u)) = K(x,y \ T(z,u)). K(x,y \ T(z,u)) = K(x,y \ T(z,z * u)). K(x,y \ T(z,z * u)) = K(x,y \ T(z,u)). K(x,y \ ((z \ u) \ u)) = K(x,y \ T(z,u)). K(T(x / y,x) \ z,u) = K((y \ x) \ z,u). K(T(x,y) \ z,u) = K(((x \ y) \ y) \ z,u). K(((x \ y) \ y) \ z,u) = K(T(x,y) \ z,u). a(x,T(y,z),u) = a(x,(z \ y) * z,u). a(x,(y \ z) * y,u) = a(x,T(z,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). a(x,y \ z,x) = a(x,(y * u) \ (z * u),x). a(x,(y * z) \ (u * z),x) = a(x,y \ u,x). a(x,(y * z) \ z,x) = a(x,y \ 1,x). a(x,y * (z \ 1),x) = a(x,z \ y,x). (x / y) \ (a(y,z \ u,y) \ x) = L(y,(z * w) \ (u * w),y). L(x,(y * z) \ (u * z),x) = (w / x) \ (a(x,y \ u,x) \ w). x != (y / z) \ (a(z,u,z) \ y) | x = L(z,u,z). L(x,(y * z) \ (u * z),x) = L(x,y \ u,x). x != a(y,z \ u,y) | x = a(y,u / z,y). a(x,y \ 1,x) = a(x,z / (y * z),x). 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). 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). a(x,y \ L(y,z,u),x) = a(x,K(w,w \ 1) / a(u,z,y),x). x != a(y,z / u,y) | x = a(y,u \ z,y). 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)). (((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)). x * a(y,z,K(u,x)) = T(x,a(y,z,u) \ x). a(x,y,K(z,u)) = K(u,a(x,y,z) \ u). K(x,a(y,z,u) \ 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,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)). T(T(x,x * y),a(z,u,y) \ x) = T(x,L(y * x,u,z)). T(x,y * z) = T(x,T(z,y) * y). T(x,T(y,z) * z) = T(x,z * y). x != T(y,T(z * u,z)) | x = y * K(y,u * z). T(x,T(y,z) * z) = x * K(x,z * y). T(x,T(y,z) * z) != u | T(x,z * y) = u. T(x,T(y,z \ u) * ((u \ z) \ 1)) != w | T(x,((u \ z) \ 1) * y) = w. T(x,T(y,T(z,u)) * ((u \ z) * u)) != w | T(x,((u \ z) * u) * y) = w. T(x,T((T(y,z) * z) \ u,z * y)) != w | T(x,u / (T(y,z) * z)) = w. x * (K((y * z) \ x,z * y) * K((y * z) \ x,K(z,y))) = ((y * z) \ x) * (y * z). K(x,y \ K(z \ u,z)) = K(x,y \ K(u,z)). 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)). (T((x \ y) * z,y \ x) * (((x \ y) * z) \ z)) \ u = K(z \ ((x \ y) \ z),z * (x \ y)) * (z \ u). (T((x \ y) * z,y \ x) * (((x \ y) * z) \ z)) \ u = K((x \ y) \ 1,(x \ y) * z) * (z \ u). (T((x \ y) * z,y \ x) * (((x \ y) * z) \ z)) \ u = K(y \ x,(x \ y) * z) * (z \ u). (K((x \ y) * z,y \ x) * z) \ u = K(y \ x,(x \ y) * z) * (z \ u). K(x,(y \ z) * u) = K(x,T(z / y,z) * u). K(x,T(y / z,y) * u) = K(x,(z \ y) * u). K(x,y * ((z * L(u,w,u)) \ v5)) = K(x,y * ((z * u) \ v5)). K(x,T(y * z,y) \ u) != w | K(x,(z * y) \ u) = w. K(x,T(L(y,z \ 1,z) / z,z \ 1) \ u) != w | K(x,((z * (y / z)) * (z \ 1)) \ u) = w. K(x,((y \ z) \ z) \ u) != w | K(x,T(y,z) \ u) = w. K(x,T(y \ z,y) \ u) != w | K(x,T(y \ z,z) \ u) = w. K(x,y * (T(z / u,z) \ w)) = K(x,y * ((u \ z) \ w)). K(x,y * (z / T(u,z))) = K(x,y * (u \ z)). 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,K(T(y / z,y) \ u,T(y / z,y)) * w) = K(x,(u / (u / T(y / z,y))) * ((z \ y) \ w)). K(x,K(T(y / z,y) \ u,z \ y) * w) = K(x,(u / (u / T(y / z,y))) * ((z \ y) \ w)). K(x,(y / (y / T(z / u,z))) * ((u \ z) \ w)) = K(x,K(T(z / u,z) \ y,u \ z) * w). K(x,(y / (y / T(z / u,z))) * ((u \ z) \ w)) = K(x,K((u \ z) \ y,u \ z) * w). K(x,(y / (y / T(z / u,z))) * ((u \ z) \ w)) = K(x,K(z \ (u * y),u \ z) * w). x * K(L(y \ 1,y,x),y * x) = L(y \ 1,y,x) * (x / L(y \ 1,y,x)). L(x \ 1,x,y) * (y / L(x \ 1,x,y)) = y * K(L(x \ 1,x,y),x * y). L(x \ 1,x,y) * (y / L(x \ 1,x,y)) = y * K(x \ 1,x * y). x * y != T(z,u * T(w,w * v5)) | x \ T(z,u * T(w,v5)) = y. x \ T(x,y * T(z,u)) = K(x,y * T(z,z * u)). K(x,y * T(z,z * u)) = x \ T(x,y * T(z,u)). K(x,y * T(z,z * u)) != w | K(x,y * T(z,u)) = w. K(x \ y,(1 / (y / x)) * z) = K(x \ y,z * (1 / (y / x))). K(x,K(T((y / z) \ 1,u) \ w,T(z / y,u)) * v5) = K(x,K(w,T((y / z) \ 1,u)) * v5). K(x,y * T(z \ u,z)) = K(x,y * (T(z,u) \ u)). a(x,y,K(z,u)) != w | a(x,y,K(z,z \ u)) = w. K(x,(y / T(z,y)) * u) = K(x,(z \ y) * u). K(x,(T(y,z) \ u) * w) = K(x,(((y \ z) \ z) \ u) * w). K(x,(((y \ z) \ z) \ u) * w) = K(x,(T(y,z) \ u) * w). K(x,(((K(y,z) * u) \ (z * u)) \ w) * v5) = K(x,(T(T(z,y),z * u) \ w) * v5). K(x,(T(T(y,z),u) \ w) * v5) = K(x,(T(T(y,z),y * u) \ w) * v5). K(x,(T(T(y,z),y * u) \ w) * v5) = K(x,(T(T(y,z),u) \ w) * v5). K(x,(T(y,z) / z) * u) = K(x,(z \ y) * u). K(x,K(y * z,y) * u) != w | K(x,K(z,y) * u) = w. a(x,T((y \ z) * y,u),w) = a(x,T(T(z,u),y),w). a(x,y,(z \ u) * z) = a(x,y,z \ (u * z)). a(x,y,z \ (u * z)) = a(x,y,(z \ u) * z). a(x,y,T(z,u)) = a(x,y,(u \ z) * u). a(x,y,(z \ u) * z) = a(x,y,T(u,z)). K(a(x,y,z) \ u,u) * (w * ((a(x,y,z) \ u) * a(x,y,K(z,u)))) = T(w * (a(x,y,z) \ u),K(a(x,y,z) \ u,u)). L(x,y,L(z \ u,z,w / u) * ((w / u) * z)) = L(x,y,T(w,(w / u) * z)). L(x,y,T((z \ u) * z,w)) = L(x,y,T(T(u,w),z)). x != L(y,z,K(u \ w,u)) | x = L(y,z,K(w,u)). L(x,y,K(z \ u,u)) = L(x,y,K(u,z)). L(x,y,z * K(u \ w,u)) = L(x,y,z * K(w,u)). L(x,y,z * K(u,u * w)) = L(x,y,z * K(u,w)). L(x,y,(z \ (u * K(w \ v5,w))) * z) = L(x,y,(K(w \ v5,w) \ ((z \ (K(w \ v5,w) * u)) * z)) * K(v5,w)). L(x,y,(K(z \ u,z) \ ((w \ (K(z \ u,z) * v5)) * w)) * K(u,z)) = L(x,y,(w \ (v5 * K(z \ u,z))) * w). x != L(y,z,(u \ w) * u) | x = L(y,z,T(w,u)). L(x,y,(K(z \ u,z) \ ((w \ (K(z \ u,z) * v5)) * w)) * K(u,z)) = L(x,y,T(v5 * K(z \ u,z),w)). L(x,y,z * K(u,w)) = L(x,y,z * K(u,u \ w)). L(x,y,z * K(u,u \ w)) = L(x,y,z * K(u,w)). L(x,y,z / ((u \ w) * u)) = L(x,y,(z / w) * K(u,w)). L(x,y,z / ((u \ w) * u)) = L(x,y,z / T(w,u)). L(x,y,T(z,z \ u) / u) = L(x,y,z / T(u,z)). L(x,y,T(z * u,u \ 1)) = L(x,y,T(z * u,z)). x != L(y,z,T(u * w,u)) | x = L(y,z,w * u). L(x,y,T(z * u,u \ 1)) = L(x,y,u * z). x != L(y,z,T((u \ w) * u,v5)) | x = L(y,z,T(T(w,v5),u)). L(x,y,z * (z \ u)) = L(x,y,T(T(u,z \ 1),z)). L(x,y,T(T(z,u \ 1),u)) = L(x,y,u * (u \ z)). L(x,y,T(T(z,u \ 1),u)) = L(x,y,z). L(x,y,T(z \ u,z \ 1)) = L(x,y,u / z). L(x,y,z / T(u,z)) = L(x,y,u \ z). L(x,y,T(z,u) \ w) = L(x,y,((z \ u) \ u) \ w). L(x,y,((z \ u) \ u) \ w) = L(x,y,T(z,u) \ w). L(x,y,((z \ u) \ u) \ (z * w)) = L(x,y,K(u,z) * w). L(x,y,K(z \ u,z) * w) = L(x,y,K(u,z) * w). x != L(y,z,u / T(w,u)) | x = L(y,z,T(u,u \ w) / w). L(x,y,z \ u) = L(x,y,T(u,u \ z) / z). L(x,y,T(z,z \ u) / u) = L(x,y,u \ z). L(x,y,T(z / (z / u),(z / (z / u)) \ z) / z) = L(x,y,(u * (z / u)) \ u). L(x,y,(z * (u / z)) \ z) = L(x,y,T(u / (u / z),(u / (u / z)) \ u) / u). L(x,y,(z * (u / z)) \ z) = L(x,y,z / u). L(x,y,(z * u) \ z) = L(x,y,z / (u * z)). L(x,y,z / (u * z)) = L(x,y,(z * u) \ z). L(x,y,(x * y) \ x) \ x = (x / (y * x)) * y. L(x,y,K(z,u \ (w * z))) = L(x,y,K(z,u \ w)). R(x,y,(z \ u) * z) = R(x,y,z \ (u * z)). R(x,y,z \ (u * z)) = R(x,y,(z \ u) * z). R(x,y,T(z,u)) = R(x,y,(u \ z) * u). R(x,y,(z \ u) * z) = R(x,y,T(u,z)). K(x,y * (T(z,u) / u)) = K(x,y * (u \ z)). K(x,y * ((z / (z / u)) / T(w,T(u,z)))) = K(x,y * (w \ (z / (z / u)))). K(x,y * ((z * (1 / u)) \ w)) = K(x,y * ((z * (u \ 1)) \ w)). (1 / ((x * y) \ x)) * (z / (L(1 / y,y,x) \ 1)) = z * K(1 / (1 / y),z * ((x * ((1 / y) \ 1)) \ x)). (1 / ((x * y) \ x)) * (z / (L(1 / y,y,x) \ 1)) = z * K(1 / (1 / y),z * ((x * y) \ x)). (1 / ((x * y) \ x)) * (z / (L(1 / y,y,x) \ 1)) = z * K(y,z * ((x * y) \ x)). K(x,y * (z * T(u / w,u))) = K(x,y * (z * (w \ 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 \ 1)) * a(z,z \ K(x,y),z) = L(K(x,y),z \ 1,z) / z. K(x * y,T(T(z,y),u)) = K(y * x,T(z,u)). K(x * y,T(z,y)) = K(y * x,z). K(x * y,z / y) = K(y * x,y \ z). K(x * y,x \ z) = K(y * x,z / x). K(x * y,z) = K(y * x,T(z,y)). K(x * y,T(z,x)) = K(y * x,z). K(x * y,T(z,x)) != u | K(y * x,z) = u. K(x,T(y,z)) = K(z * (x / z),y). K(x * (y / x),z) = K(y,T(z,x)). K(x * T(x \ y,z),T(u,x)) = K(x * T(y / x,z),u). (x * y) * K(y * x,z) = T(x * y,T(z,y)). x * K(x * y,z) = K(y * x,z) * x. K(x * y,z) * y = y * K(y * x,z). K(x * y,z) * x = x * K(y * x,z). ((x * y) * L(T(x,y),y,z)) / (x * y) = L(T(x,y),y,z) * K(y * x,x). L(T(x,y) * K(x * y,T(x,y)),y,z) = L(T(x,y),y,z) * K(y * x,x). L(T(x * K(x * y,x),y),y,z) = L(T(x,y),y,z) * K(y * x,x). L(T(x,y),y,z) * K(y * x,x) = L(T(x * K(x * y,x),y),y,z). L(T(x,y),y,z) * K(y * x,x) = L(R(x,y,x),y,z). K((x \ 1) * y,T(z,x)) = K(y * (x \ 1),z). K((x * (y / z)) \ x,((x * (y / z)) \ x) \ x) = (x * K((y / z) * x,z / y)) \ x. K(x,T(y,z)) = K((z \ x) * z,y). K((x \ y) * x,z) = K(y,T(z,x)). K(x * y,z) * (y * x) = T(y * x,T(z,y)). K(x * y,T(z,y)) != u | K(y * x,z) = u. K(x * y,z) * T(z,T(z * (y * x),y)) = L(z,y * x,z). K(x * T(y,z),T(u,K(y,z))) != w | K(K(y,z) * (x * y),u) = w. K(x * y,z / y) != u | K(y * x,y \ z) = u. K(x * (y \ z),T(u,z \ y)) != w | K((y \ z) * x,u) = w. T(x * K(x * y,z),y) \ T(x,T(y,z)) = K(z,x * y). (x * K(x * (y \ z),z \ y)) \ u = K(z \ y,(y \ z) * x) * (x \ u). K((x \ 1) * R(x,y,y \ 1),z) = K(a(x,y,y \ 1),T(z,R(x,y,y \ 1))). K(a(x,y,y \ 1),T(z,R(x,y,y \ 1))) = K((x \ 1) * R(x,y,y \ 1),z). K((x / y) \ 1,z) * T(z,T(z * ((y / x) * ((y / x) \ ((x / y) \ 1))),y / x)) = L(z,(y / x) * ((y / x) \ ((x / y) \ 1)),z). K(x / y,z) * T(z,T(z * ((x / y) * ((x / y) \ ((y / x) \ 1))),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). K(x / y,z) * T(z,T(z * ((y / x) \ 1),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). K(x / y,z) * T(z,T((y / x) \ z,x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). K(x / y,z) * T(z,T(z * (x / y),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). K(x / y,z) * T(z,z * (x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = K(y / z,x) * T(x,x * (y / z)). x != K(y,z) * T(z,z * y) | x = L(z,y,z). L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = L(x,y / z,x). x != L(y,z * (z \ ((u / w) \ 1)),y) | x = L(y,u \ w,y). L(x,y / z,x) = L(x,z \ y,x). L(x,y,x) = L(x,(y \ z) \ z,x). L(x,(y \ z) \ z,x) = L(x,y,x). L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,(y * (z * u)) \ ((y * z) * u),x). L(x,R(y * K(z,y),z,u),x) = L(x,(z * u) \ ((z * y) * u),x). L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,a(y,z,u),x). L(x,y,x) = L(x,y * K(z,y),x). L(x,y * K(z,y),x) = L(x,y,x). L(x,R(y * K(z,y),u,w),x) = L(x,R(y,u,w),x). x != L(y,R(z * K(u,z),u,w),y) | x = L(y,(u * w) \ ((u * z) * w),y). L(x,R(y,z,u),x) = L(x,(z * u) \ ((z * y) * u),x). L(x,(y * z) \ ((y * u) * z),x) = L(x,R(u,y,z),x). x != L(y,(z * u) \ (w * u),y) | x = L(y,z \ w,y). 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(y,R(z \ R(z,u,w),z,u * w),y) | x = L(y,a(z,u,w),y). L(x,y \ R(y,z,u),x) = L(x,a(y,z,u),x). (x * K(y \ R(y,z,u),x)) \ L(x,a(y,z,u),x) = a(K(x,y),z * y,u). K(x,y \ R(y,z,u)) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). a(K(x,y),z * y,u) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). a(x,a(y,z,u),x) \ a(K(x,y),z * y,u) = a(K(x,y),z * y,u). x * (a(y,a(z,u,w),y) \ a(K(y,z),u * z,w)) != a(K(y,z),u * z,w) | 1 = x. 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,a(y,z,u),x) \ w = w. T(x / a(y,z,u),x) = a(y,z,u) \ x. x != L(y \ T(z,y \ z),y,y \ T(z,y \ z)) | x = z / y. a(x,y,z) \ T(u,a(x,y,z) \ u) = u / a(x,y,z). T(x * a(y,z,u),x) = a(y,z,u) * x. a(x,y,z) * (u / a(x,y,z)) = T(u,a(x,y,z) \ u). T(x,a(y,z,u) \ x) = a(y,z,u) * (x / a(y,z,u)). x * y != T(z / a(u,w,v5),z) | x \ (a(u,w,v5) \ z) = y. (x / a(y,z,u)) \ (a(y,z,u) \ x) = K(a(y,z,u) \ x,x). T(x * (1 / a(y,z,u)),R(x,a(y,z,u) \ 1,a(y,z,u))) = a(y,z,u) \ R(x,a(y,z,u) \ 1,a(y,z,u)). K(a(x,y,z) \ u,a(x,y,z)) = K(a(x,y,z) \ u,u). K((x \ 1) * T((x \ 1) \ y,z),T(u,x)) = K((x \ 1) * T(y / (x \ 1),z),u). K(x * K((x \ y) \ 1,z),T(u,y)) = K(y * T(x / y,z),u). K(x \ T(x * y,z),T(u,x)) = K((x \ 1) * T(y / (x \ 1),z),u). K(x \ T(y * x,z),u) = K((x \ 1) * T(y / (x \ 1),z),u). K((x \ 1) * T(y / (x \ 1),z),u) = K(x \ T(y * x,z),u). K(x * K(y,(x \ z) \ 1),T(u,z)) != w | K(((y * (z \ x)) / y) * z,u) = w. K((x \ y) * z,T(x,y)) != u | K(z * (x \ y),x) = u. K(x \ (1 * ((y * (1 \ z)) / y)),T(u,x)) = K(((y * ((x \ 1) \ (x \ z))) / y) * (x \ 1),u). K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ (1 * ((x * (1 \ z)) / x)),T(u,y)). K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ (1 * ((x * z) / x)),T(u,y)). K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ ((x * z) / x),T(u,y)). K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) != w | K(((x * z) / x) / y,u) = w. T(x * (a(y,z,u) \ 1),R(x,a(y,z,u) \ 1,a(y,z,u))) = a(y,z,u) \ R(x,a(y,z,u) \ 1,a(y,z,u)). K(T(x,y) * y,z) = K(x * y,T(z,x)). x != K(y * z,T(u,y)) | x = K(z * y,u). K(T(x,y) * y,z) = K(y * x,z). x * K(y * z,(T(z,y) * y) \ x) = (T(z,y) * y) * (x / (T(z,y) * y)). (T(x,y) * y) * (z / (T(x,y) * y)) = z * K(y * x,(T(x,y) * y) \ z). ((x * (K(y,z) * u)) / x) / ((x * (u * K(y,z))) / x) = K(z,K(u * K(y,z),T(y,x))). K(x,y) * (z * (x / z)) = T(z * (x / z),T(y,z)). T(x * (y / x),T(z,x)) = K(y,z) * (x * (y / x)). K(x,y) * (z * (x / z)) = z * (T(x,T(y,z)) / z). x * y != z * (T(u,T(w,z)) / z) | x \ (K(u,w) * (z * (u / z))) = y. T(x,T(y,z)) \ (K(x,y) * (z * (x / z))) = K(z,T(x,T(y,z)) / z). x != T(y,z) \ (K(y,u) * w) | x = K(y,u) * (T(y,z) \ w). K(x,T(y,T(z,x)) / x) = K(y,z) * (T(y,T(z,x)) \ (x * (y / x))). K(x,y) * (T(x,T(y,z)) \ (z * (x / z))) = K(z,T(x,T(y,z)) / z). (K(x,y) * (x * T(z,T(x,y)))) * K(K(x,y) * (z * x),u) = T(K(x,y) * (x * T(z,T(x,y))),T(u,x * T(z,T(x,y)))). (T(x,y) * T(z,T(x,y))) * K(K(x,y) * (z * x),u) = T(K(x,y) * (x * T(z,T(x,y))),T(u,x * T(z,T(x,y)))). T(K(x,y) * (x * T(z,T(x,y))),T(u,x * T(z,T(x,y)))) = (T(x,y) * T(z,T(x,y))) * K(K(x,y) * (z * x),u). T(K(x,y) * (x * T(z,T(x,y))),T(u,x * T(z,T(x,y)))) = (z * T(x,y)) * K(K(x,y) * (z * x),u). x * y != a(z,u,w) * v5 | x \ T(v5 * a(z,u,w),v5) = y. (a(x,y,z) * u) \ T(T(u,w) * a(x,y,z),T(u,w)) = K(u,w). T(a(x,y,z) * u,w) = T(T(u * a(x,y,z),w),u). T(T(x * a(y,z,u),w),x) = T(a(y,z,u) * x,w). 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)). x * a(y,z,K(x,u)) = T(x,a(y,z,u)). a(x,y,K(z,u)) * z = T(z,a(x,y,u)). x * a(y,z,K(x,u)) != w | T(x,a(y,z,u)) = w. (x * y) * a(z,u,K(y,w)) != v5 | x * T(y,a(z,u,w)) = v5. K(x,y) * K(y,a(z,u,x)) = K(x,L(y,u,z)). K(x,a(y,z,u)) * K(u,x) = K(u,L(x,z,y)). K(a(x,y,z),u) * K(z,L(u,y,x)) = K(z,u). a(x,y,K(z,u)) = K(a(x,y,z),u). K(a(x,y,z),u) = a(x,y,K(z,u)). a(x,y,z) \ T(a(x,y,z),u) = a(x,y,K(z,u)). x != a(y,z,K(u,u)) | x = 1. K(a(x,y,z),z) = 1. x != K(a(y,z,u),w) | x = K(L(u,z,y) \ u,w). a(x,y,K(z,u)) = K(L(z,y,x) \ z,u). K(L(x,y,z) \ x,u) = a(z,y,K(x,u)). a(x,y,z) * a(x,y,K(z,u)) = T(a(x,y,z),u). a(x,y,K(z,u)) * a(x,y,z) = T(a(x,y,z),u). a(x,y,K(z,u)) * (u \ w) = T(u,a(x,y,z)) \ w. (a(x,y,z) \ u) * a(x,y,K(z,a(x,y,z) \ u)) != w | u / a(x,y,z) = w. x * a(y,z,K(u,x)) != w | (a(y,z,u) * x) / a(y,z,u) = w. T(a(x,y \ 1,y),z) = a(x,y \ 1,y). T(a(x,y,y \ 1),z) = a(x,y,y \ 1). a(x,y,z) \ T(a(x,y,z),u) != w | w = a(x,y,K(z,u)). a(x,y,z) \ T(a(x,y,z),u) != w | a(x,y,K(z,u)) = w. a(x,y,z) * 1 = T(a(x,y,z),L(y,u,w)). T(a(x,y,z),L(y,u,w)) = a(x,y,z) * 1. T(a(x,y,y \ 1),z) != u | u = a(x,y,y \ 1). T(a(x,y,y \ 1),z) != u | a(x,y,y \ 1) = u. T(a(x,y,z),L(y,u,w)) != v5 | v5 = a(x,y,z). T(a(x,y,z),L(y,u,w)) != v5 | a(x,y,z) = v5. a(x,y,z) = T(a(x,y,z),y). T(a(x,y,z),y) = a(x,y,z). x * a(y,z,K(u,L(u,z,y) * (u \ x))) = (L(u,z,y) \ u) * (x / (L(u,z,y) \ u)). (L(x,y,z) \ x) * (u / (L(x,y,z) \ x)) = u * a(z,y,K(x,L(x,y,z) * (x \ u))). K(a(x,y,z),u) != w | a(x,y,K(z,u)) = w. a(x,y,K(z,u)) != w | K(a(x,y,z),u) = w. a(x,y,y \ 1) = (a(x,y,y \ 1) \ z) \ z. (a(x,y,y \ 1) \ z) \ z = a(x,y,y \ 1). (a(x,y,y \ 1) \ z) * a(x,y,y \ 1) = z. x / a(y,z,z \ 1) = a(y,z,z \ 1) \ x. T(a(x,y,z),z) = a(x,y,z). T(x,a(y,z,x)) = x. x * T(a(y,z,z \ 1),u) != a(y,z,z \ 1) | 1 = x. 1 = K(x,a(y,z,z \ 1)). K(x,a(y,z,z \ 1)) = 1. T(x,a(y,z,z \ 1)) = x. x * a(y,z,z \ 1) = a(y,z,z \ 1) * x. a(x,y,y \ 1) * z = z * a(x,y,y \ 1). x * (y * a(z,u,u \ 1)) = x * (a(z,u,u \ 1) * y). x * (a(y,z,z \ 1) * u) = x * (u * a(y,z,z \ 1)). x * (a(y,z,z \ 1) / x) = T(x * (a(y,z,z \ 1) / x),u). T(x * (a(y,z,z \ 1) / x),u) = x * (a(y,z,z \ 1) / x). (a(x,y,y \ 1) * z) \ (z * (u * a(x,y,y \ 1))) = L(T(u,a(x,y,y \ 1)),a(x,y,y \ 1),z). T(x,y \ (z * ((y \ z) \ 1))) = x. (a(x,y,y \ 1) * z) \ (z * (u * a(x,y,y \ 1))) = L(u,a(x,y,y \ 1),z). (x \ (y * ((x \ y) \ 1))) \ z = z / (x \ (y * ((x \ y) \ 1))). x / (y \ (z * ((y \ z) \ 1))) = (y \ (z * ((y \ z) \ 1))) \ x. K((x * (y / z)) \ x,((x * (y / z)) \ x) \ x) = (x * K((z \ y) * x,z / y)) \ x. x != (y * K(z,u)) \ y | x = K(u,z). K((x * (y / z)) \ x,((x * (y / z)) \ x) \ x) = K(z / y,(z \ y) * x). K((x * (y / z)) \ x,T(x * (y / z),x)) = K(z / y,(z \ y) * x). K((x * (y / z)) \ x,(y / z) * x) = K(z / y,(z \ y) * x). K((x / y) \ 1,(x / y) * z) = K(y / x,(y \ x) * z). K((x / y) \ 1,z * (x / y)) = K(y / x,(y \ x) * z). ((x / y) \ 1) * (z / ((x / y) \ 1)) = z * K(y / x,(y \ x) * z). K(x / y,z * (y / x)) = K(x / y,(x \ y) * z). K(x / y,(x \ y) * z) = K(x / y,z * (y / x)). T(x * K(x * ((y * z) \ z),y),(y * z) \ z) \ T(x,T((y * z) \ z,T(y,u))) = K(y,x * ((y * z) \ z)). K(T(x,y) \ y,z) != u | K(y / x,z) = u. K(x \ T(y,x),z) != u | K(y / x,z) = u. K(x / y,(y \ T(x,y)) \ z) = K(y \ T(x,y),T(x,y) \ (y * z)). K(x \ T(y,x),T(y,x) \ (x * z)) = K(y / x,(x \ T(y,x)) \ z). K(x / y,z) = K(y \ T(x,y),z). K(x \ T(y,x),z) = K(y / x,z). x * K(y / z,(z \ T(y,z)) \ x) = (z \ T(y,z)) * (x / (z \ T(y,z))). (x \ T(y,x)) * (z / (x \ T(y,x))) = z * K(y / x,(x \ T(y,x)) \ z). K(x / y,T(x,y) \ (y * z)) = K(x / y,(y \ T(x,y)) \ z). K(x / y,(y \ T(x,y)) \ z) = K(x / y,T(x,y) \ (y * z)). (x \ (x * K(y \ x,z))) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). K(x \ y,z) \ (y * K(y / x,z)) = L(y,K(x \ y,z),y). 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). (x * (K(y,z) * x)) / x = x * K(y,z). (x * K(y,z)) * x = x * (K(y,z) * x). ((x * (K(y,z) * u)) / x) / ((x * (u * K(y,z))) / x) = K(K(y,z) * u,T(u,x)). x * T(x * K(y,z),u) = T(K(y,z) * x,u) * x. T(K(x,y) * z,u) * z = z * T(z * K(x,y),u). T(x * T(x \ y,z),y) = y * K((x / y) \ 1,z). T((x * K(y,z)) * x,K(x,u)) / x = T(K(y,z) * x,T(x,u)). T(x * (K(y,z) * x),K(x,u)) / x = T(K(y,z) * x,T(x,u)). (x * T(K(y,z) * x,K(x,u))) / x = T(K(y,z) * x,T(x,u)). (x * (x * T(K(y,z),T(x,u)))) / x = T(K(y,z) * x,T(x,u)). K((T(x,y) \ y) \ 1,z) = K((y / x) \ 1,z). K(K(x \ 1,y * x) * z,u) = K(K(x \ 1,y) * z,u). a(x,y,x) \ T(z * a(x,y,x),u) = T(z,u). a(x,y,x) \ T(z,u) = T(a(x,y,x) \ z,u). T(a(x,y,x) \ z,u) \ w = a(x,y,x) * (T(z,u) \ w). K(x \ L(y,z,y),u) = K(x \ y,u). K(x,y * (z \ L(u,w,u))) = K(x,y * (z \ u)). K(x,y * (z \ T(u / w,u))) = K(x,y * (z \ (w \ 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 * w,u \ 1))) = K(x,y * (z \ T(u * w,w))). K(x \ T(y,z),u) = K(x \ ((y \ z) \ z),u). K(x \ ((y \ z) \ z),u) = K(x \ T(y,z),u). K((x \ (y * z)) \ z,x \ (y * z)) = K(y \ T(x,y * z),x \ (y * z)). x != K((y \ z) \ u,y \ z) | x = K(z \ (y * u),y \ z). K(x \ T(y,x * z),y \ (x * z)) = K((x * z) \ (y * z),y \ (x * z)). K((x * y) \ (z * y),z \ (x * y)) = K(x \ T(z,x * y),z \ (x * y)). K(x,y \ T(z * K(u,w),u)) = K(x,y \ ((u \ z) * T(u,w))). K(x,y \ ((z \ u) * T(z,w))) = K(x,y \ T(u * K(z,w),z)). (x \ (a(y,z,y) \ u)) * w = (x \ u) * (a(y,z,y) \ w). K(x \ y,z \ x) = K(x \ y,z \ T(x,y)). K(x \ y,z \ T(x,y)) = K(x \ y,z \ x). x / (K(y \ z,u \ y) * x) = K(u \ T(y,z),y \ z). K(x \ T(y,z),y \ z) = u / (K(y \ z,x \ y) * u). K(x \ T(y,z),y \ z) != u | K(x \ y,y \ z) = u. K((x * y) \ (z * y),z \ (x * y)) != u | K(x \ z,z \ (x * y)) = u. (x \ y) * L(x,z,x) = (R(x,z,x) \ y) * x. (R(x,y,x) \ z) * x = (x \ z) * L(x,y,x). 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,T(y,z) * z) = K(x,z * y). K(x,(y / L(z,u,z)) / w) = K(x,(y / z) / 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)). x / (a(y,z,y) * u) = a(y,z,y) \ (x / u). K(x,K(y,z) \ u) = K(x,K(z \ y,z) \ u). K(x,K(y \ z,y) \ u) = K(x,K(z,y) \ u). x * K(T(y / z,y),(z \ y) \ x) = T(y / z,y) * (x / T(y / z,y)). T(x / y,x) * (z / T(x / y,x)) = z * K(T(x / y,x),(y \ x) \ z). K(x,K(y,z)) * K(z,x * y) != u | u = K(z,y * x). K(x,K(y,z)) * K(z,x * y) != u | K(z,y * x) = u. x != K(y,(z \ u) * w) | x = K(y,(u / T(z,u)) * w). K(x,K(y \ z,u)) * K(u,x * (y \ z)) = K(u,(z / T(y,z)) * x). x * (K(y,K(z,u)) * K(u,y * z)) = x * K(u,z * y). 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 \ T(x * y,K(z,u)) = y * K(z,K(u,x * y)). x / R(y,z,y) = a(y,z,y) \ (x / y). a(x,y,x) \ (z / x) = z / R(x,y,x). x != a(y,z,y) \ ((y * u) / w) | x = (L(y,z,y) * u) / w. (x * y) / R(x,z,x) = (L(x,z,x) * y) / x. (L(x,y,x) * z) / x = (x * z) / R(x,y,x). x * (y / R(x,z,x)) = L(x,z,x) * (y / x). L(x,y,x) * (z / x) = x * (z / R(x,y,x)). T(x,y / R(z,u,z)) = T(x,y / z). (x / R(y,z,y)) * (a(y,z,y) * u) = (x / y) * u. x / (y / R(z,u,z)) = a(z,u,z) * (x / (y / z)). a(x,y,x) * (z / (u / x)) = z / (u / R(x,y,x)). T(x,y / ((z \ u) \ u)) = T(x,y / T(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 != ((y * (K(z,u) * w)) / (y * T(w,K(z,u)))) \ T(y * (K(z,u) * w),K(u,L(z,w,y))) | x = T(y * (K(z,u) * w),L(K(u,z),w,y)) * L(K(u,z),w,y). (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). K(x,K(y,z * u)) = K(x,K(z * u,(z \ y) \ u)). K(x,K(y * z,(y \ u) \ z)) = K(x,K(u,y * z)). K(x,K(y * z,z \ (y \ u))) = K(x,K(u,y * z)). K(x,K((y * z) * u,u \ ((y * z) \ (y * (z * u))))) = K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))). K(x,K((y * z) * u,u \ L(u,z,y))) = K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))). K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K((y * z) * u,u \ L(u,z,y))). x != K(y,K(z * u,u \ L(u,w,v5))) | x = K(y,K(z,u \ L(u,w,v5))). K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,u \ L(u,z,y))). x != K(y,K(z,u \ L(u,w,v5))) | x = K(y,K(z,a(v5,w,u))). K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,a(y,z,u))). K(x,K(a(y,z,u),y * (z * u))) = K(x,K(y * z,a(y,z,u))). K(x,K(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). x != a(K(y,K(z,u * w)),u,w) | x = 1. K(x,K(y * z,a(y,z,u))) = 1. x != K(y,K(z * u,a(z,u,w))) | x = K(y,K(a(z,u,w),z * (u * w))). 1 = K(x,K(a(y,z,u),y * (z * u))). K(x,K(a(y,z,u),y * (z * u))) = 1. K(x,a(y,z,u)) * 1 = K(x,((y * z) * u) / (y * (z * u))). K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)) * 1. K(x,((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). K(x,a(y,z,u)) != w | a(K(x,y),z,u) = w. 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)) | x = 1. a(K(x,y),z,z) = 1. (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(K(z,w),u,v5). x != (T(y,y \ z) * a(u,w,K(v5,v6))) \ ((y \ z) \ z) | x = a(u,w,K(v6,v5)). 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(K(x,y),z,u) = K(u,a(x,z,y)). K(x,a(y,z,u)) = a(K(y,u),z,x). x != a(a(y,z,u),w,v5) | x = a(a(y,z,u),v5,w). a(K(a(x,y,z),u),w,v5) = a(a(x,y,z),K(v5,u),w). x != a(K(y,z),u,w) | x = a(z,u,K(y,w)). a(x,y,K(z,u)) = a(u,y,K(x,z)). (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(K(x,T(y,z)),u,w) = a(T(x,z),u,K(w,y)). a(K(x,L(y,z,u)),w,v5) = a(L(x,z,u),w,K(v5,y)). K(a(x,y,z),u) = a(u,y,K(x,z)). a(x,y,K(z,z \ u)) = a(u,y,K(x,z)). a(x,y,K(z,u)) = a(z * u,y,K(x,z)). a(x * y,z,K(u,x)) = a(u,z,K(x,y)). K(x,L(y,z,u)) * K(y,x) = a(x,z,K(u,y)). K(x,y) * K(y,L(x,z,u)) = a(y,z,K(u,x)). a(x,y,K(z,u)) = K(x,a(u,y,z)). K(x,a(y,z,u)) = a(x,z,K(u,y)). x != a(y,z,K(u,w)) | x = a(y,z,K(w,u \ 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,z \ w)) | x = a(y,w,K(u,z \ w)). a(x,y,K(y \ z,u)) = a(u,z,K(x,y \ z)). a(x,y,K(z,u)) = K(z,L(x,y,u)) * K(x,z). K(x,L(y,z,u)) * K(y,x) = a(y,z,K(x,u)). x != a(y,z,K(u \ w,v5)) | x = a(y,z,K(v5,w \ u)). a(x \ y,z,K(u,w)) = a(w,z,K(u,y \ x)). x != a(y,z,K(u \ 1,w)) | x = a(y,z,K(w,u)). a(x \ 1,y,K(z,u)) = a(u,y,K(z,x)). x != a(y,z,K(u * w,w)) | x = a(y,z,K(u,w)). a(x * y,z,K(y,u)) = a(u,z,K(x,y)). x != a(y,z \ 1,K(z,u)) | x = 1. a(x,x \ 1,K(y,z)) = 1. x * a(y,z,K(u,w)) = x * a(w,z,K(y,u)). a(x,y,K(z,u)) = K(u,a(z,y,x)). K(x,a(y,z,u)) = a(u,z,K(y,x)). x != a(y,z,K(u,w)) | x = a(y,z,K(w \ 1,u)). a(x,y,K(z,u)) = a(z,y,K(x \ 1,u)). a(x,y,K(z \ 1,u)) = a(z,y,K(x,u)). x != a(y,z,K(u,w)) | x = a(y,z,K(w \ u,u)). a(x,y,K(z,u)) = a(z,y,K(x \ u,u)). a(x,y,K(z \ u,u)) = a(z,y,K(x,u)). x != a(y,z,K(u \ w,v5)) | x = a(y,z,K(u \ (v5 \ w),v5)). a(x,y,K(z,u \ w)) = a(z,y,K(u \ (x \ w),x)). a(x,y,K(z \ (u \ w),u)) = a(u,y,K(x,z \ w)). x != a(y,z,K(z * u,u)) | x = 1. a(x,y,K(z,y * x)) = 1. K(x,y) * a(y,z,K(x,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(z,y,K(x,u)) * w. a(x,y,K(z,u)) \ w = a(u,y,K(z,x)) * w. a(x,y,K(z,u)) * (a(u,y,K(z,x)) * w) = w. a(x,y,K(z,K(u,w))) = a(u,y,K(x,K(z,w))). a(x,y,K(z,u)) * w != v5 | a(u,y,K(z,x)) * v5 = w. a(x,y,K(z,u)) * (a(u,y,K(z,x)) * w) != v5 | v5 = w. K(x,y) * a(x,z,K(u,y)) = K(x,L(y,z,u)). K(x,y) * a(y,z,K(x,u)) = K(x,L(y,z,u)). a(x,y,K(z,u)) * K(x,u) = K(x,L(u,y,z)). a(x,y,K(z,u)) * K(z,x) = K(z,L(x,y,u)). K(x,y) * a(x,z,K(u,y)) != w | K(x,L(y,z,u)) = w. K(x,y) * a(y,z,K(x,u)) != w | K(x,L(y,z,u)) = w. K(x,L(y,z,u)) * a(y,z,K(u,x)) = K(x,y). a(x,y,K(z,u)) * K(x,u) != w | K(x,L(u,y,z)) = w. x * a(x,y,K(z,u)) = T(x,a(z,y,u) \ x). a(x \ (y \ z),u,K(y,w)) != v5 | a(w,u,K(x \ z,y)) = v5. a(x,y,K(z,u)) * x = T(x,a(u,y,z)). x * a(x,y,K(z,u)) != w | T(x,a(u,y,z)) = w. x * a(y,z,K(u,x)) = T(x,a(u,z,y)). x * a(x,y,K(z,u)) = T(x,a(u,y,z)). x != a(y,z,K(u,w)) | x = K(a(y,z,u),w). K(x,a(y,z,u)) = K(a(x,z,u),y). K(a(x,y,z),u) = K(x,a(u,y,z)). x != K(y,a(z,u,w)) | x = K(y,L(w,u,z) \ w). a(x,y,K(z,u)) = K(x,L(z,y,u) \ z). K(x,L(y,z,u) \ y) = a(x,z,K(y,u)). K(x,a(a(y,z,u),w,v5)) = a(x,v5,K(w,a(y,z,u))). x * a(a(y,z,u) \ x,z,K(u,y)) = (a(y,z,u) \ x) * a(y,z,u). ((a(x,y,z) \ 1) \ a(u,y,K(z,x))) * u = u * ((a(x,y,z) \ 1) \ 1). a(x,y,K(z,u)) * x != w | T(x,a(u,y,z)) = w. a(x,y,z) * a(x * (y * z),y,K(z,x)) = ((x * y) * z) / (x * (y * z)). (x * y) * a(y,z,K(u,w)) = x * T(y,a(w,z,u)). K(x,y) * K(z,a(x,u,y)) = K(x,L(y,u,z)). K(x,K(y,a(z,u,w))) = a(y,u,K(x,K(w,z))). a(a(x,y,K(z,u)),w,v5) = a(x,w,K(v5,a(u,y,z))). a(x,y,K(z,u)) * a(u,y,z) = T(a(u,y,z),x \ 1). x * a(y,z,K(u,x \ 1)) = T(x,a(u,z,y) \ x). L(x,y,z) * a(L(x,y,z),u,K(w,v5)) = L(T(x,a(v5,u,w)),y,z). x * y != K(z,a(u,w,v5)) | x \ a(v5,w,K(u,z)) = y. a(x,y,z) \ a(z,y,K(x,u)) = T(a(x,y,z),u) \ 1. a(x,y,K(z,u)) * w != v5 | v5 = a(u,y,K(x,z)) * w. a(x,y,K(z,u)) * w != v5 | a(u,y,K(x,z)) * w = v5. K(x,y) * (L(K(y,x),z,u) * w) != v5 | a(y,z,K(u,x)) * w = v5. a(x,y,K(z,u)) \ w != v5 | a(z,y,K(x,u)) * w = v5. a(x,y,K(z,u)) * w != v5 | a(z,y,K(u,x)) * w = v5. 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). x != y * a(z,u,K(w,v5)) | x = y * a(w,u,K(v5,z)). K(x,y) * (z * u) = ((K(x,y) * z) * u) * a(y,z,K(u,x)). ((K(x,y) * z) * u) * a(y,z,K(u,x)) = K(x,y) * (z * u). (K(x,y) * z) * T(u,a(y,z,x)) = K(x,y) * (z * u). L(x,y,K(z,u)) = T(x,a(u,y,z)). T(x,a(y,z,u)) = L(x,z,K(u,y)). a(x,y,y \ 1) = L(a(x,y,y \ 1),z,K(u,w)). L(a(x,y,y \ 1),z,K(u,w)) = a(x,y,y \ 1). x != L(y,z,K(u,z \ 1)) | x = y. T(x,a(y \ 1,y,z)) = x. T(x \ (K(y,z) * u),a(y,x,z)) = (K(z,y) * x) \ 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 = a(z,u,K(y,w)) * y. L(x,y,K(z,u)) = a(u,y,K(x,z)) * x. a(x,y,K(z,u)) * z = L(z,y,K(u,x)). 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 * y != T(z,a(u,w,v5)) | x \ L(z,w,K(v5,u)) = y. x \ L(x,y,K(z,u)) = a(x,y,K(z,u)). a(x,y,z) * L(u,y,K(z,x)) = u * a(x,y,z). a(x,y,z) * L(u,y,K(z,x)) != w | u * a(x,y,z) = w. L(x / a(y,z,u),z,K(u,y)) != w | a(y,z,u) \ x = w. (x * L(y,z,K(u,w))) \ (x * y) = K(a(w,z,u),y). a(x,y,K(z,u)) * (u \ w) = L(u,y,K(z,x)) \ w. a(x \ 1,x,y) * z = z * a(x \ 1,x,y). a(x,y,K(z,u)) * x = L(x,y,K(z,u)). L(x,y,K(z,u)) = x * a(z,y,K(u,x)). x * a(y,z,K(u,x)) = L(x,z,K(y,u)). x != y * a(y,z,K(u,w)) | x = T(y,a(u,z,w) \ y). L(x,y,K(z,u)) = T(x,a(z,y,u) \ x). T(x,a(y,z,u) \ x) = L(x,z,K(y,u)). x * y != z * a(z,u,K(w,v5)) | x \ L(z,u,K(w,v5)) = y. x \ L(x,y,K(z,u)) = a(z,y,K(u,x)). L(x,y \ 1,K(y,z)) != u | u = x. x * a(x,y,K(z \ 1,u)) = L(x,y,K(u,z)). x != T(y,a(z,u,w) \ y) | x = a(z,u,w) * (y / a(z,u,w)). L(x,y,K(z,u)) = a(z,y,u) * (x / a(z,y,u)). a(x,y,z) * (u / a(x,y,z)) = L(u,y,K(x,z)). x * y != T(z,a(u,w,v5) \ z) | x \ L(z,w,K(u,v5)) = y. a(x,y,z) \ L(u,y,K(x,z)) = u / a(x,y,z). x * y != L(z,u,K(w,L(z,v5,v6))) | x \ z = y. a(x,y,L(z,u,w)) \ z = z / a(x,y,L(z,u,w)). x / a(y,z,L(x,u,w)) = a(y,z,L(x,u,w)) \ x. x * y != L(T(z,u),w,K(v5,z)) | x \ T(z,u) = y. a(x,y,z) \ T(z,u) = T(z,u) / a(x,y,z). T(x,y) / a(z,u,x) = a(z,u,x) \ T(x,y). x * y != L(z,u,K(w,z)) | x \ z = y. a(x,y,z) \ z = z / a(x,y,z). x / a(y,z,x) = a(y,z,x) \ x. a(x,y,z) * u = L(u * a(x,y,z),y,K(x,z)). L(x * a(y,z,u),z,K(y,u)) = a(y,z,u) * x. L(x,y,K(z,u)) \ x = K(x / a(z,y,u),a(z,y,u)). K(x / a(y,z,u),a(y,z,u)) = L(x,z,K(y,u)) \ x. (a(x,y,z) \ z) \ z = a(x,y,z). a(x,y,K(z,u)) != w | a(u,y,K(x,z)) = w. K(x,y) * K(y,L(x,z,u)) != w | a(y,z,K(u,x)) = w. a(x,y,K(z \ (u \ w),u)) != v5 | a(u,y,K(x,z \ w)) = v5. K(x,a(y,z,u)) != w | a(u,z,K(y,x)) = w. a(x,y,K(z,u)) != w | a(z,y,K(u,x)) = w. K(x,a(y,z,u)) != w | a(x,z,K(u,y)) = w. a(x,y,K(z,u \ z)) != w | a(u,y,K(z,x)) = w. a(x,y,K(z,u \ 1)) != w | a(u,y,K(z,x)) = w. a(K(x,y),z,u) != w | a(x,z,K(u,y)) = w. a(x,y,K(z,u)) * K(L(u,y,z),x) = K(u,x). K(x,a(y,z,u)) * K(a(y,z,u),L(x,w,v5)) = a(a(y,z,u),K(v5,x),w). K(x,y) * K(y,L(x,z,u)) = a(y,y \ z,K(u,x)). K(x,y) * 1 = K(x,L(y,z,L(z,u,w))). K(x,L(y,z,L(z,u,w))) = K(x,y) * 1. K(x,y) * a(y,z,K(x,x \ (u \ w))) = K(x,L(y,z,(u * x) \ w)). K(x,y) * a(y,z,K(x,u)) != w | L(K(x,y),z,u) = w. K(x,y) * a(y,z,K(x,L(u / w,v5,v6))) = K(x,L(y,z,L((w / u) \ 1,v5,v6))). a(x,y,K(z,u)) * K(x,z) = K(x,L(z,y,u \ 1)). a(x,y,K(z,u)) = a(z,y,K(x \ z,u)). a(x,y,K(z \ x,u)) = a(z,y,K(x,u)). 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). K(x,L(y,z \ 1,z)) = K(x,y). K(x,L(y,z,z \ 1)) = K(x,y). K(x,y) * a(x,z,K(u \ 1,y)) = K(x,L(y,z,(u \ w) / w)). K(x,L(y,z,(u \ w) / w)) = K(x,y) * a(x,z,K(u \ 1,y)). K(x,y) * a(x,z,K(y,K(u,w))) = K(x,L(y,z,K(u,w))). K(x,L(y,z,z \ 1)) != u | u = K(x,y). K(x,L(y,z,z \ 1)) != u | K(x,y) = u. K(x,L(y,z \ 1,z)) != u | u = K(x,y). K(x,L(y,z \ 1,z)) != u | K(x,y) = u. K(x,y) * a(x,z,K(u,y)) = K(x,L(y,z,y \ u)). T(x * K(y,x),L(y,z,u)) = T(x,a(y,z,u)). T(a(x,y,z) \ u,a(z,y,x)) != w | u / a(x,y,z) = w. L(x,y,K(z,u)) != w | T(x,a(u,y,z)) = w. L(x,x,K(y,z)) = x. a(x,y,K(z,x * y)) = 1. a(x,y,K(z,u * (z \ w))) = a(u * w,y,K(x,z)). x != y * a(y,z,K(u,w)) | x = L(y,z,K(u,w)). L(x,y,K(z,u)) = L(x,y,K(u \ 1,z)). L(x,y,K(z \ 1,u)) = L(x,y,K(u,z)). x != L(y,z,K(u,w \ (v5 * u))) | x = L(y,z,K(u,w \ v5)). L(x,y,K(z \ (u * (w \ 1)),w)) = L(x,y,K(w \ 1,z \ u)). L(x,y,K(z,u)) = L(x,y,K(u,z \ 1)). L(x,y,K(z,u \ 1)) = L(x,y,K(u,z)). L(x,y,K(z \ u,w)) = L(x,y,K(w,u \ z)). (a(x,y,z) * u) / a(x,y,z) = L(u,y,K(x,z)). x * a(y,z,K(u,x)) = L(x,z,K(y,u * x)). (x \ y) * a(y,z,K(u,x)) = L(x \ y,z,K(u,x)). L(x,y,K(z,u)) * a(z,y,u) = a(z,y,u) * x. T(L(x,y,K(z,u)),a(z,y,u)) = x. L(L(x,y,K(z,u)),w,v5) * a(z,y,u) != v6 | a(z,y,u) * L(x,w,v5) = v6. (K(x,y) * z) * u = K(x,y) * (z * L(u,z,K(y,x))). K(x,y) * (z * L(u,z,K(y,x))) = (K(x,y) * z) * u. K(a(x,y,z) \ u,u) != w | a(a(x,y,z) \ u,y,K(z,x)) = w. K(x,L(y,z,(u \ w) / w)) != v5 | K(x,L(y,z,u \ 1)) = v5. K(x,L(y,z,u / (w * u))) != v5 | K(x,L(y,z,w \ 1)) = v5. T(x,L(y,z,u)) = T(T(x,y),a(y,z,u)). T(T(x,y),a(y,z,u)) = T(x,L(y,z,u)). x != T(y,a(z,u,w)) | x = L(y,u,K(w,z)). T(x,L(y,z,u)) = L(T(x,y),z,K(u,y)). L(T(x,y),z,K(u,y)) = T(x,L(y,z,u)). x != T(y,a(z,u,u \ 1)) | x = y. T(x,L(y,z,z \ 1)) = T(x,y). x != L(y,z,K(u \ 1,w)) | x = L(y,z,K(w,u)). T(x,L(y,z,u \ 1)) = L(T(x,y),z,K(y,u)). L(x \ y,z,K(u,x)) = T(y / x,L(x,z,u)). T(x / y,L(y,z,u)) = L(y \ x,z,K(u,y)). x * T(y,L(x,z,u)) = L(y,z,K(u,x)) * x. L(x,y,K(z,u)) * u = u * T(x,L(u,y,z)). L(a(x,y,z),u,K(w,y)) = T(a(x,y,z),L(y,u,w)). T(a(x,y,z),L(y,u,w)) = L(a(x,y,z),u,K(w,y)). L(x,y,z) * L(x \ u,y,K(z,x)) != w | (u / x) * L(x,y,z) = w. L(a(x,y,z),u,K(w,y)) != v5 | a(x,y,z) = v5. L(a(x,y,z),u,K(y,w)) != v5 | a(x,y,z) = v5. a(x,y,z) = (x * (T(y,x) * z)) \ ((y * x) * z). (x * (T(y,x) * z)) \ ((y * x) * z) = a(x,y,z). a(x,T(y,x),z) = a(x,y,z). ((x * y) * z) / a(y,x,z) != u | u = y * (T(x,y) * z). ((x * y) * z) / a(y,x,z) != u | y * (T(x,y) * z) = u. a(a(x,y,K(z,u)),w,v5) = a(x,w,a(v5,y,K(z,u))). a(x * y,z,K(u,x)) != w | a(x,z,K(y,u)) = w. L(K(x,y),z,u) = a(y,z,K(x,u)) * K(x,y). a(x,y,K(z,u)) * K(z,x) = L(K(z,x),y,u). a(x,y,K(z,u)) * K(x,u) = L(K(x,u),y,z). x != L(K(y,K(z,u)),w,v5) | x = K(z,K(u,L(y,w,v5))). 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. a(x,y \ z,K(y,K(u,w))) * K(x,K(u,w)) = K(u,K(w,z \ (y * ((y \ z) * x)))). K(x,K(y,z \ (u * ((u \ z) * w)))) = a(w,u \ z,K(u,K(x,y))) * K(w,K(x,y)). a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = K(z,K(w,L(x,y,u \ 1))). a(x,y,z) * a(z,y,K(x,y * z)) = ((x * y) * z) / (x * (y * z)). a(x,y,z) * 1 = ((x * y) * z) / (x * (y * z)). ((x * y) * z) / (x * (y * z)) = a(x,y,z) * 1. ((x * y) * z) / (x * (y * z)) = a(x,y,z). x != ((y * z) * u) / (w * (z * u)) | x = R(R(y,z,u) / w,w,z * u). a(x,y,z) = R(R(x,y,z) / x,x,y * z). R(R(x,y,z) / x,x,y * z) = a(x,y,z). a(x,y,z) * (x * (y * z)) = (x * y) * z. a(x / (y * z),y,z) * x = ((x / (y * z)) * y) * z. a(a(x,y,z),u,w) * (a(x,y,z) * (w * u)) = (a(x,y,z) * w) * u. a(x,y,T(z,y)) * (x * (z * y)) = (x * y) * T(z,y). a(a(x,y,z),u,w) * (a(x,y,z) * (w * u)) != v5 * v6 | v5 \ ((a(x,y,z) * w) * u) = v6. L(x \ 1,x,K(y,z)) = x \ 1. (x * y) * a(z,u,K(y,w)) = x * L(y,u,K(w,z)). x * a(x,y,K(z,u)) != w | w = L(x,y,K(z,u)). x * a(x,y,K(z,u)) != w | L(x,y,K(z,u)) = w. T(x,a(y,z,u) \ x) != w | L(x,z,K(y,u)) = w. T(x,a(y,z,u)) != w | L(x,z,K(u,y)) = w. T(x * K(y,x),L(y,z,u)) != w | L(x,z,K(u,y)) = w. R(R(x,y,z) / x,x,T(y,z) * z) = a(x,T(y,z),z). L(K(x,y),z \ 1,z) = K(x,y). K((x * y) \ 1,z) = K(y \ (x \ 1),z). L(K(x,y),z \ 1,z) = u \ (u * K(x,y)). 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). (x \ K(y,z)) * K(z,y) = x \ 1. x * K(y,z) = (1 / x) \ K(y,z). (1 / x) \ K(y,z) = x * K(y,z). x != ((y * z) \ z) \ z | x = T(y * z,y \ 1). (((x * K(y,z)) \ K(y,z)) \ 1) * K(y,z) = T(x * K(y,z),x \ 1). T(x * K(y,z),x \ 1) = (((x * K(y,z)) \ K(y,z)) \ 1) * K(y,z). (x \ 1) \ (x \ K(y,z)) = K(y,z). x != (y \ 1) * K(z,u) | x = K(z,T(u,y)) * (y \ 1). x \ K(y,z) = K(y,T(z,x)) * (x \ 1). K(x,T(y,z)) * (z \ 1) = z \ K(x,y). (1 / x) \ K(y,z) != u | x * K(y,z) = u. (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)). (x \ K(y,z)) * T(z,y) = (x \ 1) * z. (x \ K(y,z)) \ (x \ 1) = K(z,y). (x \ K(y,z)) \ (x \ 1) != u | K(z,y) = u. T(x \ K(y,z),K(y,z)) = K(y,z) * (x \ 1). (x \ L(x,y,z)) * K(u,L(w,x \ 1,L(x,y,z))) = L(x,y,z) * (x \ K(u,w)). L(K(x,y),z \ 1,z) != u | u = K(x,y). L(K(x,y),z \ 1,z) != u | K(x,y) = u. L(K(x,y),z,z \ 1) != u | K(x,y) = u. K(x \ y,z) = K(((y \ 1) * x) \ 1,z). K(((x \ 1) * y) \ 1,z) = K(y \ x,z). K(x,y) = (1 / z) * (z * K(x,y)). (1 / x) * (x * K(y,z)) = K(y,z). K(x,y) / (z * K(x,y)) = 1 / z. x != K(y,L(z,u,u \ 1)) | x = K(y,R(z,u,u \ 1)). K(x,y) = K(x,R(y,z,z \ 1)). K(x,R(y,z,z \ 1)) = K(x,y). x != K(y,L(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). K(x,(1 / y) * z) = K(x,y \ z). K(x,y * z) = K(x,(y \ 1) \ z). K(x,(y \ 1) \ z) = K(x,y * z). x != 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). x != K(y,z \ L(z,u,w)) | x = K(y,a(w,u,z) \ 1). K(x,y * L(y \ 1,z,u)) = K(x,a(u,z,y \ 1) \ 1). K(x,a(y,z,u \ 1) \ 1) = K(x,u * L(u \ 1,z,y)). 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). x != K(y,((z \ 1) \ 1) \ u) | x = K(y,z \ u). K(x,(y \ 1) * z) = K(x,y \ z). x * y != K(z,(u \ 1) \ w) | x \ K(z,u * w) = y. (1 / x) \ K(y,z * u) = x * K(y,(z \ 1) \ u). x * K(x,y * z) = T(x,(y \ 1) \ z). T(x,(y \ 1) \ z) = x * K(x,y * z). L(K(x,y * z),u,w) = K(x,L((y \ 1) \ z,u,w)). K(x,L((y \ 1) \ z,u,w)) = L(K(x,y * z),u,w). (1 / x) \ K(y,z) = x * K(y,(u \ 1) \ (u \ z)). x * K(y,(z \ 1) \ (z \ u)) = (1 / x) \ K(y,u). x \ y = (1 / (x \ T(y,z))) \ K(z,y). (1 / (x \ T(y,z))) \ K(z,y) = x \ y. (x \ T(y,z)) * K(z,y) = x \ y. (x \ y) * K(y,z) = x \ T(y,z). x * K(y,z) = (T(z,y) / x) \ z. (T(x,y) / z) \ x = z * K(y,x). (x \ T(y,z)) \ (x \ y) = K(z,y). T(x \ y,K(y,z)) = K(z,y) * (x \ T(y,z)). K(x,y) * (z \ T(y,x)) = T(z \ y,K(y,x)). (x \ y) \ (x \ T(y,z)) = K(y,z). (x \ y) \ (x \ T(y,z)) != u | K(y,z) = u. x / (y * K(z,x)) = T(x,z) / y. (x * (y / x)) \ x = (y \ x) * K(y / x,x). (x \ y) * K(x / y,y) = (y * (x / y)) \ y. x * K(y,z) = (y / x) \ T(y,z). (x / y) \ T(x,z) = y * K(x,z). x != (y \ z) * K(z,u / y) | x = K(z,y \ u) * (y \ z). x \ T(y,z / x) = K(y,x \ z) * (x \ y). K(x,y \ z) * (y \ x) = y \ T(x,z / y). (x * (y \ z)) \ (x * (y \ T(z,u))) = L(K(z,u),y \ z,x). (x * (y \ z)) * K(z,u) = R(y / x,x,y \ z) \ T(z,u). R(x / y,y,x \ z) \ T(z,u) = (y * (x \ z)) * K(z,u). (L(1 / x,y,z) \ 1) * K(x,u) = (x * L(x \ 1,y,z)) \ T(x,u). (x * L(x \ 1,y,z)) \ T(x,u) = (L(1 / x,y,z) \ 1) * K(x,u). (x \ y) * a(y,z,K(u,w)) = x \ T(y,a(w,z,u)). (1 / (x \ y)) * (x \ T(y,z)) = K(y,z). (x \ y) * a(y,z,K(u,w)) = x \ L(y,z,K(u,w)). x \ L(y,z,K(u,w)) = (x \ y) * a(u,z,K(w,y)). (x \ y) * a(z,u,K(w,y)) = x \ L(y,u,K(z,w)). x != (y \ z) * a(z,u,K(w,y)) | x = L(y \ z,u,K(w,y)). x \ L(y,z,K(u,x)) = L(x \ y,z,K(u,x)). x != y * a(z,u,K(w,v5)) | x = y * a(v5,u,K(z,w)). x \ L(y,z,K(u,w)) = (x \ y) * a(w,z,K(y,u)). (x \ y) * a(z,u,K(y,w)) = x \ L(y,u,K(w,z)). x * a(y,z,K(u * x,w)) = u \ L(u * x,z,K(w,y)). x \ L(x * y,z,K(u,w)) = y * a(w,z,K(x * y,u)). x \ L(y * x,z,K(u,x)) = L(T(y,x),z,K(u,x)). a(x,y,K(z,a(u,w,v5))) = a(x,z,K(y,a(u,w,v5))). a(x,y,a(z,u,K(w,v5))) = a(x,z,K(y,a(v5,u,w))). a(x,y,K(z,a(u,w,v5))) = a(x,z,a(y,w,K(v5,u))). a(x,y,a(z,u,K(w,v5))) = a(x,z,a(y,u,K(w,v5))). (K(x,L(y,z,K(u,x))) * w) / ((x * T(y,L(x,z,u))) \ w) = x * L(y,z,K(u,x)). (K(x,y) * z) / ((x * T(y,L(x,u,w))) \ z) = x * L(y,u,K(w,x)). (L(x,y,z) \ x) * (u / (L(x,y,z) \ x)) = u * a(L(x,y,z) * u,y,K(z,x)). x * (y * a(z,u,K(x * y,w))) = L(x * y,u,K(w,z)). (K(x * a(y,z,K(u * x,w)),u) * v5) / (L(u * x,z,K(w,y)) \ v5) = (x * a(y,z,K(u * x,w))) * u. x * (y * a(z,u,K(y * x,w))) = L(x * y,u,K(T(w,y),z)). L(x,y,K(z,u)) * (a(z,y,u) * a(w,v5,K(a(z,y,u) * x,v6))) = L(L(x,y,K(z,u)) * a(z,y,u),v5,K(v6,w)). L(x,y,K(z,u)) * (a(z,y,u) * a(w,v5,K(a(z,y,u) * x,v6))) = L(a(z,y,u) * x,v5,K(v6,w)). L(x,y,K(z,u)) * (a(z,y,u) * a(a(z,y,u) * x,w,K(v5,v6))) = L(a(z,y,u) * x,w,K(v5,v6)). x * (y * a(z,u,K(y * x,w))) = L(x * y,u,K(w,T(z,y))). x != L(T(y,z),u,K(w,z)) | x = T(y,L(z,u,w)). x \ L(y * x,z,K(u,x)) = T(y,L(x,z,u)). x * T(y,L(x,z,u)) = L(y * x,z,K(u,x)). x != y * T(z,L(y,u,w)) | x = L(z,u,K(w,y)) * y. L(x * y,z,K(u,y)) = L(x,z,K(u,y)) * y. L(x,y,K(z,u)) * u = L(x * u,y,K(z,u)). (K(x,y) * z) / (L(y * x,u,K(w,x)) \ z) = x * L(y,u,K(w,x)). x * K(y,z) = (K(z,y) / x) \ 1. (K(x,y) / z) \ 1 = z * K(y,x). x \ ((x \ K(y,z)) \ 1) = K(x,x \ K(y,z)) * K(z,y). K(x,x \ K(y,z)) * K(z,y) = x \ ((x \ K(y,z)) \ 1). 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 != T(y,z) * K(y,u) | x = K(y,z) * T(y,u). (K(x,y) / T(y,z)) \ 1 = K(y,z) * T(y,x). 1 / (x * K(y,z)) = K(z,y) / x. T(x,R((y * K(z,u)) \ 1,w,v5)) = T(x,R(K(u,z) / y,w,v5)). ((x * K(y,z)) * (K(z,y) / x)) * ((K(z,y) / x) \ u) = u * T(u \ (1 * ((K(z,y) / x) \ u)),K(z,y) / x). K(x,(y / (1 / (K(z,u) / w))) * v5) = K(x,(y / (w * K(u,z))) * v5). 1 / (K(x,y) * T(x,z)) = K(y,x) / T(x,z). 1 / (x / y) = K(z,y) / (x / T(y,z)). K(x,y) / (z / T(y,x)) = 1 / (z / y). 1 / (x \ y) = K(y,x) / (x \ T(y,x)). K(x,y) / (y \ T(x,y)) = 1 / (y \ x). (x * K(y,z)) * (K(z,y) / x) = K(x * K(y,z),x \ K(z,y)). x * T(x \ ((K(y,z) / u) \ x),w) = (1 / T(u * K(z,y),w)) \ x. 1 / (x \ K(y,z)) = K(z,y) / (x \ 1). K(x,y) / (z \ 1) = 1 / (z \ K(y,x)). K(x,(1 / y) * z) != u | K(x,y \ z) = u. K(x,y * (z \ 1)) != u | K(x,y / z) = u. x != K((y \ 1) \ z,L(u,y \ 1,y)) | x = K(y * z,u). K((x \ 1) \ y,z) = K(x * y,z). K(x,T(y * z,u)) = K(x,T((y \ 1) \ z,u)). K(x,T((y \ 1) \ z,u)) = K(x,T(y * z,u)). K((x * (y \ 1)) \ z,u) = K(y * (x \ z),L(u,y \ 1,x)). K(x * (y \ z),L(u,x \ 1,y)) = K((y * (x \ 1)) \ z,u). K(T((x \ y) \ 1,z) \ u,T((x \ y) \ 1,w)) = K((x \ y) * u,T(y \ x,w)). K((1 / x) \ y,z) = K(x * y,z). K(x \ y,z) = K((x \ 1) * y,z). K((x \ 1) * y,z) = K(x \ y,z). x != K(y \ (z * u),w) | x = K(y \ (z * ((u \ 1) \ 1)),w). K(x * (y * z),u) = K((x \ 1) \ (y * ((z \ 1) \ 1)),u). K((x \ 1) \ (y * ((z \ 1) \ 1)),u) = K(x * (y * z),u). x * y != K((z \ 1) \ u,w) | x \ K(z * u,w) = y. ((x \ 1) \ y) \ K(x * y,y \ (x \ 1)) = 1 / ((x \ 1) \ y). K((x \ 1) * y,z) != u | K(x \ y,z) = u. T(x * K(y * x,z),y) = y \ T(x * y,z). x * (y * K(x * y,z)) = T(x * y,z). K((x \ 1) \ K(y,y \ z),u) = K((x / (z / (z / y))) * y,u). (x * K(y * (z \ x),z)) * y = (z \ (x * y)) * z. ((x * y) / x) / ((x * (y * K(z \ u,y))) / x) = K(y,T((z \ 1) * u,x)). (x / y) * (y * K(x,z)) = T(x,z). T(x,y) * K(z * K(x,y),x / z) = ((x / z) \ T(x,y)) * (x / z). L(x,y,T(z * K(u,w),(u / z) \ 1)) = L(x,y,T(u,w) / (u / z)). x * y != (z / u) * (u * K(z,w)) | T(z,w) / y = x. T(x,y) / (z \ x) = K(x,y) * z. x * y != (z / u) * (u * K(z,w)) | x \ T(z,w) = y. (K(x,y) * z) \ T(x,y) = z \ x. x != K(y,z) * (1 / z) | x = 1 / T(z,y). T(x,y) / ((1 / y) \ x) = 1 / T(y,x). T(x,y) / z = K(x,y) * (x / z). K(x,y) * (x / z) = T(x,y) / z. ((x \ y) \ y) / (z \ x) = K(x,x \ y) * z. (K(x,y) * z) \ T(x,y) != u | u = z \ x. (K(x,y) * z) \ T(x,y) != u | z \ x = u. (K(x,y) * z) \ x = (z \ x) * K(y,x). (x \ K(y,z * (y \ u))) \ (x \ 1) = K((y \ z) * u,y). K(x,y) * K(z \ 1,u) = (z \ K(y,x)) \ T(z \ 1,u). (x \ K(y,z)) \ T(x \ 1,u) = K(z,y) * K(x \ 1,u). K(x * (y \ z),y) = K((y \ x) * z,y). K((x \ y) * z,x) = K(y * (x \ z),x). x != K(y * (z \ u),z) | x = K(z \ (y * u),z). K((x \ y) * z,x) = K(x \ (y * z),x). K(x \ (y * z),x) = K((x \ y) * z,x). (x * K(y * (z \ u),z)) \ (x * z) = T(z,(z \ y) * u). T(x,y * (x \ z)) = T(x,(x \ y) * z). T(x,(x \ y) * z) = T(x,y * (x \ z)). T(x,R(x,y,z) * (x \ u)) = T(x,u * (x \ R(x,y,z))). ((1 / x) \ y) * K(x * y,z) != u | T((1 / x) \ y,z) = u. K(x * y,z) * y = y * K(y / (1 / x),z). x * K(x / (1 / y),z) = K(y * x,z) * x. x * y != K(z * x,u) * x | y = K(x * z,u). K(x / (1 / y),z) = K(x * y,z). x != K(y / (1 / z),u) | x = K(y / (z \ 1),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 \ 1),z). K(x * (y \ 1),z) = K(x / y,z). K(x / (K(y,z) / u),w) = K(x * (u * K(z,y)),w). K(x * (y \ 1),z) = K(x / y,L(z,u,u \ 1)). K(x / y,L(z,u,u \ 1)) = K(x * (y \ 1),z). K(x * (1 / y),z) = K(x / y,z). x != K((y \ 1) * z,u) | x = K(y \ z,u). K((x \ 1) / y,z) = K(x \ (y \ 1),z). K(x / (y \ 1),z) != u | K(x * y,z) = u. (K(x / y,(y \ 1) \ 1) / (y \ 1)) \ x = x / (1 / (y \ 1)). a(x * K((y * z) / z,y * z),u,w) = a(x * K(z \ 1,z * y),u,w). a(x * K(y,y * z),u,w) = a(x * K(z \ 1,z * y),u,w). a(x * K(y \ 1,y * z),u,w) = a(x * K(z,z * y),u,w). K(x * (y \ 1),z) != u | K(x / y,z) = u. a(x,y,K(z,u)) * K(a(u,y,z),L(x,w,v5)) = a(a(u,y,z),K(v5,x),w). a(x,y,K(z,u)) * a(u,y,K(z,L(x,w,v5))) = a(a(u,y,z),K(v5,x),w). x * y != K(z,L(u,u \ w,v5)) | x \ K(z,L(u,w,v5)) = y. K(x,y) \ K(x,L(y,z,u)) = K(u,a(x,y \ z,y)). K(x,y) \ K(x,L(y,z,u)) != w | w = K(u,a(x,z,y)). K(x,y) \ K(x,L(y,z,u)) != w | K(u,a(x,z,y)) = w. K(x,a(y,z,u)) = K(x,a(y,u \ z,u)). K(x,a(y,z \ u,z)) = K(x,a(y,u,z)). x * K(x,a(y,z,u)) = T(x,a(y,u \ z,u)). T(x,a(y,z \ u,z)) = x * K(x,a(y,u,z)). T(x,a(y,z \ u,z)) = T(x,a(y,u,z)). T(x,a(y,z,u)) = T(x,a(y,u * z,u)). T(x,a(y,z * u,z)) = T(x,a(y,u,z)). L(x,y * z,K(y,u)) = T(x,a(u,z,y)). T(x,a(y * z,y,z)) = x. L(x,y * z,K(y,u)) != w | L(x,z,K(y,u)) = w. L(x * y,y,K(x,z)) = x * y. L(L(x,y,z),y,K(z,u)) = L(x,y,T(z,u)). L((x * y) * z,z,K(y,x)) = (x * y) * z. a(a(x,y,K(z,u)),w,v5) = a(a(x,y,z),K(v5,u),w). x != a(a(y,z,K(u,w)),v5,v6) | x = a(y,v5,a(v6,z,K(u,w))). a(a(x,y,z),K(u,w),v5) = a(x,v5,a(u,y,K(z,w))). x != a(a(y,z,u),K(w,v5),v6) | x = a(v5,z,K(u,y)) * a(y,z,K(u,L(v5,v6,w))). a(x,y,a(z,u,K(w,v5))) = a(v5,u,K(w,x)) * a(x,u,K(w,L(v5,y,z))). a(x,y,K(z,u)) * a(u,y,K(z,L(x,w,v5))) = a(u,w,a(v5,y,K(z,x))). a(x,y,K(z,u)) * w != v5 | w = a(u,y,K(z,x)) * v5. a(x,y,K(z,L(u,w,v5))) = a(x,y,K(z,u)) * a(x,w,a(v5,y,K(z,u))). a(x,y,K(z,u)) * a(x,w,a(v5,y,K(z,u))) = a(x,y,K(z,L(u,w,v5))). a(x,y,a(z,u,K(w,v5))) = a(v5,u,K(w,x)) * a(w,u,K(L(v5,y,z),x)). a(x,y,K(z,u)) * a(z,y,K(L(x,w,v5),u)) = a(u,w,a(v5,y,K(z,x))). a(x,y,K(z,K(u,w))) * K(x,K(z,w)) != v5 | K(z,K(w,L(x,y,u))) = v5. K(x,K(y,L(z,u,w))) = K(x,K(y,L(z,u,w \ 1))). K(x,K(y,L(z,u,w \ 1))) = K(x,K(y,L(z,u,w))). a(x,x \ y,K(z,y)) = 1. L(K(x,y),z \ y,z) = K(x,y). K(x,L(y,z \ y,z)) = K(x,y). x * K(y,x) = z * ((z \ x) * K(y,x)). x * ((x \ y) * K(z,y)) = y * K(z,y). x \ (y * K(z,y)) = (x \ y) * K(z,y). x \ ((y * z) / y) = (x \ z) * K(y,z). x * y != (z \ u) * K(z,z \ u) | x \ (u / z) = y. x \ (y / z) = (x \ (z \ y)) * K(z,z \ y). (x \ (y \ z)) * K(y,y \ z) = x \ (z / y). (x \ ((y * z) / y)) * y = (x \ z) * T(y,z). K((x \ y) * K(z,y),x) = K(x \ y,T(x,z)). K((x \ y) * K(z,y),x) != u | K(x \ y,T(x,z)) = u. 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). 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 != 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) * (K(y,x) / z) = 1 / z. K(x,y) * z = K(x,y) / (z \ 1). K(x,y) / (z \ 1) = K(x,y) * z. K(x,y) / (z \ 1) != u | K(x,y) * z = u. T(x,y) * (K(y,x) / z) = x * (1 / z). K((x * (K(y,z) / u)) \ w,v5) = K((x * (K(y,z) * (u \ 1))) \ w,v5). K((x * (K(y,z) * (u \ 1))) \ w,v5) = K((x * (K(y,z) / u)) \ w,v5). (K(x,y) * z) * (K(x,y) * (1 / (K(x,y) * z))) = K(x,y) * K(K(x,y) * z,z \ 1). T(K(x,y) / z,K(x,y)) = (1 / z) * K(x,y). (K(x,y) / z) * K(y,x) = T(1 / z,K(x,y)). K(x,y) * (1 / z) = K(x,L(y,u \ 1,u)) / z. K(x,L(y,z \ 1,z)) / u = K(x,y) * (1 / u). (K(x,y) * z) \ K(x,y) = z \ 1. (K(x,y) * z) \ K(x,y) != u | u = z \ 1. (K(x,y) * z) \ K(x,y) != u | z \ 1 = u. (x \ 1) * (K(y,z) * x) = K(y,z) * K(x \ 1,x * K(y,z)). K(x,y) * K(z \ 1,z * K(x,y)) = (z \ 1) * (K(x,y) * z). (K(x,y) * z) * T(z \ 1,u) != w * v5 | (K(x,y) * K(z \ 1,u)) / v5 = w. T(x,K(y,z)) \ 1 != u | (x * K(y,z)) \ K(y,z) = u. (T(x,y) \ z) \ K(y,x) = (x \ z) \ 1. x \ K(y,z) = (K(z,y) * x) \ 1. (K(x,y) * z) \ 1 = z \ K(y,x). ((x / y) \ z) \ K(y \ x,y) = ((y \ x) \ z) \ 1. (x \ y) \ K(x,z) = (T(x,z) \ y) \ 1. (T(x,y) \ z) \ 1 = (x \ z) \ K(x,y). ((x \ y) \ z) \ K(x,x \ y) = ((y / x) \ z) \ 1. T((x \ 1) \ 1,K(y,z)) = ((x * K(y,z)) \ K(y,z)) \ 1. ((x * K(y,z)) \ K(y,z)) \ 1 = T((x \ 1) \ 1,K(y,z)). a((x \ (T(x,y) / (T(x,y) / z))) \ 1,u,w) = a((z / T(x,y)) \ K(y,x),u,w). x * ((y \ 1) * K(z,u)) != w | x * (y \ K(z,u)) = w. x != K((y \ z) \ u,L(w,y \ z,y)) | x = K(z \ (y * u),w). K((x \ y) \ z,y) = K(y \ (x * z),y). K(x,L(y * z,z,y)) = K(x,y * z). K(x,L(y,z,z \ y)) = K(x,y). (x * ((x \ y) * z)) * K(z,y) = (y \ (x * ((x \ y) * z))) * y. (x \ (y * ((y \ x) * z))) * x = (y * ((y \ x) * z)) * K(z,x). x * K(y,L(z,u,u \ z)) = x * K(y,z). x * K(L(y,z,z \ u),u) = x * K(y,u). 1 = K(x,L(y,z,z \ x)) * K(y,x). K(x,L(y,z,z \ x)) * K(y,x) = 1. K(x,y) = K(x,L(y,z,z \ x)). K(x,L(y,z,z \ x)) = K(x,y). K(x * y,L(z,x,y)) = K(x * y,z). a(x,y,K(z,u)) != w | a(K(x,u),y,z) = w. L(T(x,y),z,K(y,u \ w)) = T(x,L(y,z,w \ u)). L(x,y,K(K(z,u) * w,v5)) = L(x,y,K(v5,w \ K(u,z))). L(x,y,K(z \ (u \ 1),w)) = L(x,y,K(w,u * z)). a(x,y,K(z,u)) * (x \ w) = L(x,y,K(u,z)) \ w. a(x,y,K(z,u)) = L(u,y,K(z,x)) \ u. L(x,y,K(z,u)) \ x = a(u,y,K(z,x)). x != L(y,z,K(u,w)) \ y | x = K(y / a(u,z,w),a(u,z,w)). a(x,y,K(z,u)) = K(u / a(z,y,x),a(z,y,x)). K(x / a(y,z,u),a(y,z,u)) = a(u,z,K(y,x)). K(a(x,y,z) \ u,a(x,y,z)) = a(z,y,K(x,u)). x != K(a(y,z,u) \ w,a(y,z,u)) | x = K(a(y,z,u) \ w,w). a(x,y,K(z,u)) = K(a(z,y,x) \ u,u). K(a(x,y,z) \ u,u) = a(z,y,K(x,u)). x != a(y,z,K(u,w)) | x = a(w,z,K(y,u)). K(a(x,y,z) \ u,u) = a(u,y,K(z,x)). a(x,y,K(z,u)) * (w * ((a(z,y,x) \ u) * a(z,y,K(x,u)))) = T(w * (a(z,y,x) \ u),K(a(z,y,x) \ u,u)). a(a(x,y,z) \ u,y,K(z,x)) = a(u,y,K(z,x)). T(x * a(x,y,K(z,u)),a(u,y,z) \ 1) = R(x,a(u,y,z) \ 1,x). a(x,y,K(z,u)) != w | a(a(u,y,z) \ x,y,K(z,u)) = w. x != a(y,z,K(u,w)) | x = a(w,z,K(u,y \ 1)). a(a(x,y,z) \ u,y,K(z,x)) = a(x,y,K(z,u \ 1)). x * a(y,z,K(u,x \ 1)) = (a(y,z,u) \ x) * a(y,z,u). (a(x,y,z) \ u) * a(x,y,z) = u * a(x,y,K(z,u \ 1)). x != y * a(z,u,K(w,y \ 1)) | x = T(y,a(w,u,z) \ y). (a(x,y,z) \ u) * a(x,y,z) = T(u,a(z,y,x) \ u). T(x,a(y,z,u) \ x) = (a(u,z,y) \ x) * a(u,z,y). x != T(y,a(z,u,w) \ y) | x = L(y,u,K(z,w)). (a(x,y,z) \ u) * a(x,y,z) = L(u,y,K(z,x)). x \ T(y,z) = (K(z,y) * x) \ y. (K(x,y) * z) \ y = z \ T(y,x). (T(x,y) * z) \ T(x,y) = (x * z) \ x. x * K(x,y \ z) = T(x,(y \ 1) * z). T(x,(y \ 1) * z) = x * K(x,y \ z). K(x,y) * z = 1 / (z \ K(y,x)). 1 / (x \ K(y,z)) = K(z,y) * x. K(x,y) * (1 / z) != u | u = K(x,y) / z. K(x,y) * (1 / z) != u | K(x,y) / z = u. (K(x,y) * z) \ 1 != u | u = z \ K(y,x). (K(x,y) * z) \ 1 != u | z \ K(y,x) = u. K(x / (K(y,z) * u),w) = K(x * (u \ K(z,y)),w). K(x,(K(y,z) * u) \ w) = K(x,(u \ K(z,y)) * w). T(x,y * (x \ R(x,z,u))) != x * w | K(x,R(x,z,u) * (x \ y)) = w. a(x,y,K(z,u)) * a(z,y,K(x,L(u,w,v5))) = a(u,w,a(v5,y,K(z,x))). x * y != a(z,u,a(w,v5,K(v6,v7))) | x \ a(z,w,a(u,v5,K(v6,v7))) = y. a(x,y,K(z,u)) \ a(u,w,a(v5,y,K(z,x))) = a(z,y,K(x,L(u,v5,w))). x != K(y,L(z,u,w)) | x = L(K(y,z),u,w). K(x,y) * a(x,z,K(y,K(u,w))) = L(K(x,y),z,K(u,w)). x != K(y,L(z,u,w)) | x = L(K(y,z),z * u,w). K(x,y) * a(x,z,K(y,K(u,w))) = L(K(x,y),y * z,K(u,w)). K(x,y) * z != L(K(x,y),y * u,K(w,v5)) | z = a(x,u,K(y,K(w,v5))). a(x,y * z,K(y,K(u,w))) = a(x,z,K(y,K(u,w))). a(x,y,K(z,K(u,w))) = a(x,z \ y,K(z,K(u,w))). a(x,y \ z,K(y,K(u,w))) = a(x,z,K(y,K(u,w))). a(x,y * z,K(u,K(w,y))) = a(x,z,K(y,K(u,w))). 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,K(u,w))) = a(u,y,K(z,K(x,w))). a(x,y,K(z,K(u,w))) = a(u,y,K(z,K(w,x))). a(x,y,K(z,K(u,w))) = a(w,y,K(z,K(x,u))). K(x,K(y,L(z,u,w))) * K(x,K(z,y)) = a(z,u,K(x,K(w,y))). x != a(y,z,K(u,w)) | x = a(u,z,K(w,y)). a(x * y,z,K(y,u)) = a(x,z,K(y,u)). a(x * y,z,K(y,u)) != w | a(u,z,K(x,y)) = w. a(x,y,K(z * u,u)) != w | a(x,y,K(z,u)) = w. a(x,y * z,K(u,K(w,y))) = a(x,z,K(u,K(w,y))). x * y != (z \ (u * y)) * z | x = y \ ((z \ (y * u)) * z). x * K(y * (z \ x),z) = y \ ((z \ (y * x)) * z). x \ ((y \ (x * z)) * y) = z * K(x * (y \ z),y). 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). R(x,y,z) \ ((x \ (R(x,y,z) * u)) * x) = u * K((x \ u) * R(x,y,z),x). L(x,y,(z * K(K(u \ w,u) * (v5 \ z),v5)) * K(w,u)) = L(x,y,T(z * K(u \ w,u),v5)). R(x,y,z) \ ((R(x,y,z) * (x \ u)) * x) = u * K((x \ u) * R(x,y,z),x). R(x,y,z) \ ((R(x,y,z) * (x \ u)) * x) = u * K(u * (x \ R(x,y,z)),x). L(x,y,K(z,u)) * w = a(u,y,K(x,z)) * (x * w). a(x,y,K(z,u)) * (z * w) = L(z,y,K(u,x)) * w. x != (L(y \ 1,z,u) \ (y \ 1)) * K(y,y \ 1) | x = (L(y \ 1,z,u) \ 1) * (y \ 1). L(x \ 1,y,z) \ (1 / x) = (L(x \ 1,y,z) \ 1) * (x \ 1). (L(x \ 1,y,z) \ 1) * (x \ 1) = L(x \ 1,y,z) \ (1 / x). K((x \ (y / z)) \ u,z) = K((x \ (z \ y)) \ u,z). K(x,(T(y \ z,u) / u) * K(y,y \ z)) = K(x,u \ (z / y)). R(x,y,z \ (1 / u)) = R(x,y,z \ (u \ 1)). T(1 / (x / y),x) \ 1 = T(x,x \ y) / y. K(x,y) \ (y / z) = T(y,x) / z. K(x,y) * (T(y,x) / z) = y / z. (x * K(y,z)) \ (x * (T(y,z) / u)) != w | L(y / u,K(y,z),x) = w. (x \ y) * (T(x,x \ y) / z) = (y / x) * (x / z). T(T(x,y) / z,K(x,y)) = (x / z) * K(x,y). K((x \ T(y,z)) \ y,u) != w | K(K(z,y) * x,T(u,y)) = w. T(x,(y \ T(z,u)) \ z) = T(x,T(K(u,z) * y,z)). x != (y \ 1) * K(z,u) | x = y \ K(z,u). (x * L(x \ 1,y,z)) \ T(x,u) = L(1 / x,y,z) \ K(x,u). (L(1 / x,y,z) \ K(x,u)) \ T(L(1 / x,y,z) \ 1,u) = K(u,T(x * L(x \ 1,y,z),T(x,u))). x != (y \ K(z,u)) \ T(y \ 1,w) | x = K(u,z) * K(y \ 1,w). K(x,T(y * L(y \ 1,z,u),T(y,x))) = K(x,y) * K(L(1 / y,z,u) \ 1,x). K(x,T(y * L(y \ 1,z,u),T(y,x))) = K(x,y) * K((1 / y) \ 1,L(x,z,u)). K(x,T(y * L(y \ 1,z,u),T(y,x))) = K(x,y) * K(y,L(x,z,u)). x != K(y,z) * K(z,L(y,u,w)) | x = a(z,u,K(w,y)). K(x,T(y * L(y \ 1,z,u),T(y,x))) = a(y,z,K(u,x)). K(x,T(y * L(y \ 1,z,u),y)) = a(y,z,K(u,x)). K(x,y * L(y \ 1,z,u)) = a(y,z,K(u,x)). x != K(y,z * L(z \ 1,u,w)) | x = K(y,a(w,u,z \ 1) \ 1). a(x,y,K(z,u)) = K(u,a(z,y,x \ 1) \ 1). K(x,a(y,z,u \ 1) \ 1) = a(u,z,K(y,x)). K(x,a(y,z,u) \ 1) = a(u \ 1,z,K(y,x)). K(x,y) * (K(z,u) / u) != w | K(x,y) / T(u,z) = w. ((1 / x) * K(y,z)) * K(u,x) = K(y,T(z,x)) / T(x,u). T(1 / (x * K(y,z)),K(z,y)) = (1 / x) * K(z,y). x != 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). 1 / (x * (K(y,z) / x)) = (1 / K(x,x \ K(y,z))) * K(z,y). (1 / K(x,x \ K(y,z))) * K(z,y) = 1 / (x * (K(y,z) / x)). K(x,y) * ((1 / z) * K(u,w)) != v5 | K(x,y) / (K(w,u) * z) = v5. K((x \ (y * x)) * z,x) * (((x * y) * z) / x) = x \ ((x * y) * z). K(T(x,y) * z,y) * (((y * x) * z) / y) = y \ ((y * x) * z). K(x * y,z) * (((z * x) * y) / z) = z \ ((z * x) * y). K(x,K(y,L(z,u,w))) * K(x,K(y,z)) = a(z,u,K(x,K(w,y))). x != K(y,K(z,u)) * K(y,K(z,w)) | x = K(K(z,u) * K(w,z),y). a(x,y,K(z,K(u,w))) = K(K(w,L(x,y,u)) * K(x,w),z). K(K(x,L(y,z,u)) * K(y,x),w) = a(y,z,K(w,K(u,x))). K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(x,u))). K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(u,x))). x != K(y,L(z,u,w)) | x = K(L(y,u,w),z). K(x,y * z) = K(L(x,z,y),y * z). K(L(x,y,z),z * y) = K(x,z * y). K(x,K(y,z * u)) = K(x,K(z * u,L(y,u,z))). K(x,K(y * z,L(u,z,y))) = K(x,K(u,y * z)). ((x * y) * z) / (K(u,x * y) * z) = T(x * y,L(u,y,x)). T(x,(y \ 1) * z) = T(x,y \ z). T(x,(y \ 1) * z) != u | T(x,y \ z) = u. T(x,y \ z) = T(x,(1 / y) * z). T(x,(1 / y) * z) = T(x,y \ z). T(x,y \ z) = T(x,T((y \ 1) * z,x)). T(x,T((y \ 1) * z,x)) = T(x,y \ z). T(x,(1 / y) * z) != u | T(x,y \ z) = u. T(x,y * z) = T(x,(y \ 1) \ z). T(x,(y \ 1) \ z) = T(x,y * z). T(x,((1 / y) * a(z,u,z)) * w) = T(x,y \ (a(z,u,z) * w)). T(x,(K(y,z) * u) * w) = T(x,(u \ K(z,y)) \ w). T(x,(y \ K(z,u)) \ w) = T(x,(K(u,z) * y) * w). x != T(y,(z \ 1) \ u) | x = T(y,(1 / z) \ u). T(x,y * z) = T(x,(1 / y) \ z). T(x,(1 / y) \ z) = T(x,y * z). K(x,T(y,z * u)) * ((z \ 1) \ u) = ((z \ 1) \ u) * K(x,y). (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. 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 != T(y,R(((z / T(1 / u,w)) \ 1) \ K(u,u \ 1),v5,v6)) | x = T(y,R(T(z / T(u \ 1,w),K(u,u \ 1)),v5,v6)). T(x,R(((y / T(1 / z,u)) \ 1) \ 1,w,v5)) = T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)). T(x,R(T(y / T(z \ 1,u),K(z,z \ 1)),w,v5)) = T(x,R(((y / T(1 / z,u)) \ 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)). K(x \ (y * (z \ 1)),z) = K(x \ ((z \ 1) * y),z). K(x \ ((y \ 1) * z),y) = K(x \ (z * (y \ 1)),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). (x \ (((y * z) / y) * y)) * K(y,(y * z) / y) = x \ (T(y,z) * z). K(x,y) * (z \ (y * x)) = T(z \ (x * y),K(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). L(x,y * (K(z,u) / T(u,w)),v5) = L(x,y * ((K(u,z) * T(u,w)) \ 1),v5). L(x,y * ((K(z,u) * T(z,w)) \ 1),v5) = L(x,y * (K(u,z) / T(z,w)),v5). L(x,y * (T(z,u) \ K(w,z)),v5) = L(x,y * (K(u,z) / T(z,w)),v5). L(x,y * (K(z,u) / T(u,w)),v5) = L(x,y * (T(u,z) \ K(w,u)),v5). K(x,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 * (u \ 1)) | x = K(y,z * (1 / u)). K(x,y / z) = K(x,y * (1 / z)). K(x,y * (1 / z)) = K(x,y / z). x != K(y,z * ((u \ 1) \ 1)) | x = K(y,z * u). K(x,y / (z \ 1)) = K(x,y * z). x * K(x,y / z) = T(x,y * (1 / z)). T(x,y * (1 / z)) = x * K(x,y / z). L(K(x,y / z),u,w) = K(x,L(y * (z \ 1),u,w)). K(x,L(y * (z \ 1),u,w)) = L(K(x,y / z),u,w). T(x,y * (1 / z)) = T(x,y / z). T(x,y * (z \ 1)) = T(x,y / z). x != T(y,z * (1 / (1 / u))) | x = T(y,z * u). T(x,y / (1 / z)) = T(x,y * z). T(x,y * z) = T(x,y / (z \ 1)). T(x,y / (z \ 1)) = T(x,y * z). K(x,L(T((1 / y) \ z,u / y),1 / y,u)) = K(x,(u * z) / (u * (1 / y))). T(x,(a(y,z,y) / u) * w) = T(x,u \ (a(y,z,y) * w)). T(x,y \ (a(z,u,z) * w)) = T(x,(a(z,u,z) / y) * w). T(x,a(y,z,y) * (u \ w)) = T(x,(a(y,z,y) / u) * w). T(x,(a(y,z,y) / u) * w) = T(x,a(y,z,y) * (u \ w)). T(x,(a(y,z,y) / u) * w) != v5 | T(x,u \ w) = v5. x / (y * x) = T(x,z) / (y * T(x,z)). T(x,y) / (z * T(x,y)) = x / (z * x). x * y != T(z,u / (w \ 1)) | T(x,y) = y \ T(z,u * w). T(K(x,L(y / (z \ 1),u,w)),L(x \ 1,u,w) \ 1) = (L(x \ 1,u,w) \ 1) \ T(L(x \ 1,u,w) \ 1,y * z). (L(x \ 1,y,z) \ 1) \ T(L(x \ 1,y,z) \ 1,u * w) = T(K(x,L(u / (w \ 1),y,z)),L(x \ 1,y,z) \ 1). x != (y / ((z * u) / z)) * K(z,u) | x = y / u. (1 / (x / ((y * z) / y))) \ K(y,z) = x / z. x * y != (1 / z) \ K(u,w) | x \ (z * K(u,w)) = y. (x \ K(y,z)) \ ((1 / x) * K(y,z)) = K(x,x \ 1). (x * K(y,z)) * (1 / x) = ((x \ 1) \ K(y,z)) * (x \ 1). ((x \ 1) \ K(y,z)) * (x \ 1) = (x * K(y,z)) * (1 / x). L(x,y * K(z,u),w) = L(x,(y \ 1) \ K(z,u),w). L(x,(y \ 1) \ K(z,u),w) = L(x,y * K(z,u),w). K(x,y * (z * K(u,w))) = K(x,y * ((z \ 1) \ K(u,w))). K(x,y * ((z \ 1) \ K(u,w))) = K(x,y * (z * K(u,w))). K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * (u * K(u \ 1,z))). (x / ((y * z) / y)) \ T(x / z,1 / (x / ((y * z) / y))) = (x / z) * (1 / (x / ((y * z) / y))). (1 / ((x * y) / x)) \ T(1 / y,(x * y) / x) = (1 / y) * (1 / (1 / ((x * y) / x))). (1 / ((x * y) / x)) \ (y \ 1) = (1 / y) * (1 / (1 / ((x * y) / x))). (1 / x) * (1 / (1 / ((y * x) / y))) = (1 / ((y * x) / y)) \ (x \ 1). x != (1 / ((y * z) / y)) \ (z \ 1) | 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)). 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)). K(x,K(y,a(z,u,w))) = a(x,u,K(y,K(z,w))). T(x,(y \ 1) \ z) != u | T(x,y * z) = u. T(x,(1 / y) \ z) != u | T(x,y * z) = u. (x * (K(y,z) * u)) * ((K(y,z) * u) \ 1) = R(x,K(y,z) * u,u \ K(z,y)). T(x,y / (1 / (K(z,u) * w))) = T(x,y / (w \ K(u,z))). a(x,(y \ K(z,u)) \ 1,w) = a(x,K(u,z) * y,w). (x \ K(y,z)) \ (1 / (K(z,y) * x)) = K(K(z,y) * x,(K(z,y) * x) \ 1). (K(x,y) * K(z,u)) \ 1 != w | K(u,z) * K(y,x) = w. K(x,y * (z \ K(u,w))) = K(x,y / (K(w,u) * z)). K(x,y / (K(z,u) * w)) = K(x,y * (w \ K(u,z))). (x \ (y * z)) * K(y,(y * z) / y) = x \ (T(y,z) * z). (x \ (y * z)) * K(y,z) = x \ (T(y,z) * z). x * K(1 / x,y) = 1 / (x \ K(y,1 / x)). 1 / (x \ K(y,1 / x)) = x * K(1 / x,y). 1 / ((x * (y \ 1)) / x) = y * K(1 / y,x). 1 / ((x * ((y / z) \ 1)) / x) = (y / z) * K(z / y,x). x != (y / z) * K(z / u,u) | x = y / (u * (z / u)). 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 / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)) = ((x * ((K(y,x / y) / (x \ y)) \ 1)) / x) \ 1. ((x * ((K(y,x / y) / (x \ y)) \ 1)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). ((x * ((x \ y) * K(x / y,y))) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). ((x * ((y * (x / y)) \ y)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). ((x / (x / y)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)) = ((x / (x / y)) / x) \ 1. 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. T(x,L(y,z \ 1,z)) != u | u = T(x,y). T(x,L(y,z \ 1,z)) != u | T(x,y) = u. 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). K(K(x,y) * K(x,z),K(z,x) * K(y,x)) = 1. K(K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1) = 1. K(x,y) * (a(x,z,K(u,y)) * w) = L(K(x,y),z,u) * w. K(x,y) * (a(x,z,K(u,y)) * w) = K(x,L(y,z,u)) * w. K(x,y) * (a(y,z,K(x,u)) * w) = K(x,L(y,z,u)) * w. K(x,y) * (K(x,a(y,z,u)) * w) = K(x,L(y,z,u)) * w. K(x,a(y,z,u)) * (K(x,y) * w) = K(x,L(y,z,u)) * w. (((x \ K(x,y)) \ 1) \ T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). (((x \ 1) \ K(y,x)) \ T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). ((x \ K(x,y)) * T(x,z)) \ K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). ((x \ K(x,y)) * T(x,z)) \ K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ K(x,y)) \ 1)) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). ((x \ K(x,y)) * T(x,z)) \ K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). K(x * y,z) != u | K((x \ 1) \ y,z) = u. K((x \ 1) \ y,L(z,u \ 1,u)) != w | K(x * y,z) = w. K((1 / x) \ y,z) != u | K((x \ 1) \ y,z) = u. x != K(y,T(z \ y,u)) | x = K(y,T(z,u) \ y). K(x,T(y * x,z)) = K(x,T(y \ 1,z) \ x). K(x,T(y \ 1,z) \ x) = K(x,T(y * x,z)). K(x \ 1,T(x * y,z)) * T(y,z) = T((x \ 1) * (y / (x \ 1)),z). x != K(y,T((z \ u) \ 1,u) \ y) | x = K(y,z \ ((((z \ u) \ 1) \ z) * y)). K(x,T((y \ z) * x,z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(x \ (K(x,z) * T(x,y)),(K(y,x) / T(x,z)) * x). K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(T(K(x,z),x) * K(x,y),(K(y,x) / T(x,z)) * x). K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(K(x,z) * K(x,y),(K(y,x) / T(x,z)) * x). K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = K(K(x,z) * K(x,y),K(y,x) * K(z,x)). x != K(K(y,z) * K(y,u),K(u,y) * K(z,y)) | x = 1. K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. ((x \ K(x,y)) * T(x,z)) \ 1 = 1 / (((x \ K(x,y)) \ 1) \ T(x,z)). 1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = ((x \ K(x,y)) * T(x,z)) \ 1. x != ((y \ K(y,z)) * T(y,u)) \ 1 | x = y * (K(z,y) / T(y,u)). 1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = x * (K(y,x) / T(x,z)). x != a(y \ z,T(y,y \ z),u) | x = a(z / y,y,u). a(x \ y,x,z) = a(y / x,x,z). a(x / y,y,z) = a(y \ x,y,z). x != K(y,R(z,u,w)) | x = K(R(y,u,w),z). K(x,y) = K(R(x,z,z \ 1),y). K(R(x,y,y \ 1),z) = K(x,z). R(x,y,y \ 1) * K(z,x) = R(x * K(z,x),y,y \ 1). x * K(y,R(y,z,z \ 1) \ x) = R(y,z,z \ 1) * (x / R(y,z,z \ 1)). R(x,y,y \ 1) * (z / R(x,y,y \ 1)) = z * K(x,R(x,y,y \ 1) \ z). x != K(y \ z,u * (1 / (z / y))) | x = K(y \ z,(1 / (z / y)) * u). K(x \ y,z / (y / x)) = K(x \ y,(1 / (y / x)) * z). K(x \ y,(1 / (y / x)) * z) = K(x \ y,z / (y / x)). K(x,R(y,z,z \ (u \ 1))) = K(x,((y * z) * (z \ (u \ 1))) * u). K(x,((y * z) * (z \ (u \ 1))) * u) = K(x,R(y,z,z \ (u \ 1))). T(x,((y \ z) \ 1) * u) = T(x,T(u,z \ y) / (y \ z)). T(x,T(y,z \ u) / (u \ z)) = T(x,((u \ z) \ 1) * y). (x * (y \ 1)) * T(z,x / y) = z * (x * (y \ 1)). T(x,y * T(z \ 1,u)) = T(x,(y * K(z \ 1,u)) / z). T(x,(y * K(z \ 1,u)) / z) = T(x,y * T(z \ 1,u)). K(x,y) * T(x * K(y,x),z / u) = T(x,T(z * (u \ 1),y)). a(x,y,K(z / y,u)) = a(y \ z,y,K(u,x)). a(x \ y,x,K(z,u)) = a(u,x,K(y / x,z)). a(x,y,z) = a(y \ (x * y),y,z). a(x \ (y * x),x,z) = a(y,x,z). K(x,y * z) * L(x,z,y) = L(T(x,y * z),z,y). K(x,y * z) * (y * (z * x)) = L(x,z,y) * (y * z). a(x,y,K(z,u \ x)) = a(u,y,K(z,x)). a(x,y,K(z,u \ w)) = a(z,y,K(w \ u,x \ (u \ w))). a(x,y,K(z \ u,w \ (u \ z))) = a(w,y,K(x,u \ z)). K(x,((y * z) \ u) \ (z \ (y \ u))) = a(x,z,K(z \ (y \ u),y)). K(x,L(y,z,L(z,u,w))) != v5 | v5 = K(x,y). K(x,L(y,z,L(z,u,w))) != v5 | K(x,y) = v5. a(x,y,K(z,u)) = a(u,y,K((y * x) / y,z)). a(x,y,K((y * z) / y,u)) = a(z,y,K(u,x)). a(x,y,K(z,T(u,y))) = a(z,y,K(u,x)). 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. (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 \ ((y * (1 / x)) \ z)) \ 1 = (x \ ((y * (x \ 1)) \ z)) \ K(x,x \ 1). (x \ ((y * (x \ 1)) \ z)) \ K(x,x \ 1) = (x \ ((y * (1 / x)) \ z)) \ 1. T(x,T((y \ z) \ K(y,u),w)) = T(x,T(z \ T(y,u),w)). K(x * ((y \ z) \ K(y,u)),w) != v5 | K(x / (T(y,u) \ z),w) = v5. K((x * K(y,z)) * u,w) != v5 | K((K(z,y) / x) \ u,w) = v5. K((x \ 1) / y,z) != u | K(x \ (y \ 1),z) = u. x * K(K(y,z) * K(y,u),(K(y,z) * K(y,u)) \ 1) != 1 | 1 = x. 1 = K((K(x,y) * K(x,z)) \ 1,K(x,y) * K(x,z)). K((K(x,y) * K(x,z)) \ 1,K(x,y) * K(x,z)) = 1. L(x * 1,K(y,z) * K(y,u),(K(y,z) * K(y,u)) \ 1) = ((K(y,z) * K(y,u)) \ 1) * ((K(y,z) * K(y,u)) * x). L(x,K(y,z) * K(y,u),(K(y,z) * K(y,u)) \ 1) = ((K(y,z) * K(y,u)) \ 1) * ((K(y,z) * K(y,u)) * x). ((K(x,y) * K(x,z)) \ 1) * ((K(x,y) * K(x,z)) * u) = L(u,K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1). ((K(x,y) * K(x,z)) \ 1) * ((K(x,y) * K(x,z)) * u) = L(u,K(x,y) * K(x,z),K(y,x) * K(z,x)). (K(x,y) * K(z,y)) * ((K(y,x) * K(y,z)) * u) = L(u,K(y,x) * K(y,z),K(x,y) * K(z,y)). (K(x,y) * K(z,y)) * (K(y,x) * (K(y,z) * u)) = L(u,K(y,x) * K(y,z),K(x,y) * K(z,y)). 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. (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(x,x * y) * K(y,z) = T(K(y,z) * x,y * x). T(x,x * y) * a(z,u,K(w,y)) = T(K(y,y * (w \ L(w,u,z))) * x,y * x). T(K(x,x * (y \ L(y,z,u))) * w,x * w) = T(w,w * x) * a(u,z,K(y,x)). T(a(x,y,K(z,u)) * w,u * w) = T(w,w * u) * a(x,y,K(z,u)). T(x,x * y) * a(z,u,K(w,y)) = T(a(z,u,K(w,y)) * x,y * x). K(x,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,T((z \ 1) \ u,w)) | x = K(y,T(z * u,w)). K(x,T((y \ z) * x,z)) = K(x,T((y \ z) * x,y)). T(x,T(y,z \ u) / (u \ z)) != w | T(x,(u \ z) \ y) = w. T(x,(K(y,z) * u) * w) != v5 | T(x,(u \ K(z,y)) \ w) = v5. K(x,y) * a(y,z,K(x,u / (u * w))) = L(K(x,y),z,(u / w) / u). L(K(x,y),z,(u / w) / u) != v5 | L(K(x,y),z,u / (u * w)) = v5. K(x,(y \ 1) \ z) != u | K(x,y * z) = u. K(x,y / T(z \ 1,z * (x * y))) != u | K(x,z * y) = u. K(x,((y \ 1) \ 1) * z) != u | K(x,y * z) = u. K(x,y * (1 / z)) != u | K(x,y / z) = u. K(x,y * (z \ K(u \ z,u))) != w | K(x,y / (u * (z / u))) = w. K(T(x * (y \ 1),z) \ u,x * (y \ 1)) != w | K((x * (y \ 1)) \ u,x / y) = w. K(x,y * ((z \ u) \ K(z,w))) != v5 | K(x,y / (T(z,w) \ u)) = v5. T(x,y \ z) != u * w | u \ T(x,(y \ 1) * z) = w. x != y * a(z,u,K(w,y)) | x = L(y,u,K(z,w)). L(x,y,K(z,u * x)) = L(x,y,K(z,u)). L(x,y,T(z,u * L(x,y,z))) = L(L(x,y,z),z * y,K(z,u)). L(L(x,y,z),z * y,K(z,u)) = L(x,y,T(z,u * L(x,y,z))). L(x,y,K(z,u \ x)) = L(x,y,K(z,u \ 1)). L(x,y,K(z,u \ 1)) = L(x,y,K(z,u \ x)). L(x,y,T(z,u)) = L(x,y,T(z,u * L(x,y,z))). L(x,y,T(z,u * L(x,y,z))) = L(x,y,T(z,u)). L(x,y,T(z,((u \ w) \ 1) * L(x,y,z))) = L(x,y,T(z,w \ u)). L(x,y,T(z,(u \ w) \ L(x,y,z))) = L(x,y,T(z,w \ u)). x != L(y,z,K(u,w \ 1)) | x = L(y,z,K(w,u)). L(x,y,K(z,u \ x)) = L(x,y,K(u,z)). L(x,y,T(z,u \ L(x,y,z))) = L(L(x,y,z),z * y,K(u,z)). L(L(x,y,z),z * y,K(u,z)) = L(x,y,T(z,u \ L(x,y,z))). x != L(L(y,z,u),u * z,K(w,u)) | x = L(y,z,u * K(w,u)). L(x,y,T(z,u \ L(x,y,z))) = L(x,y,z * K(u,z)). x != L(y,z,T(u,(w \ v5) \ L(y,z,u))) | x = L(y,z,T(u,v5 \ w)). L(x,y,z * K(u \ w,z)) = L(x,y,T(z,w \ u)). x != L(y,z,u * K(w \ v5,w)) | x = L(y,z,u * K(v5,w)). L(x,y,T(z,u \ z)) = L(x,y,z * K(u,z)). L(x,y,z * K(u,z)) = L(x,y,T(z,u \ z)). (x * (y \ z)) \ (x * (y \ T(z,u))) != w | K(z,L(u,y \ z,x)) = w. L(x,y \ z,y) * z = (y * ((y \ z) * x)) * K(x,z). (x * ((x \ y) * z)) * K(z,y) = L(z,x \ y,x) * y. (x * (y * z)) * K(z,x * y) = L(z,x \ (x * y),x) * (x * y). L(x,y \ (y * z),y) * (y * z) = (y * (z * x)) * K(x,y * z). L(x,y,z) * (z * y) = (z * (y * x)) * K(x,z * y). (x * (y * z)) * K(z,x * y) = L(z,y,x) * (x * y). (x * (y * z)) / T(x * y,z) = L(z,y,x). (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) = L(y,K(z,T(u,y)),x). (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)). (x \ (1 / ((y * x) \ y))) * T(x,z) = T((1 / ((y * x) \ y)) * K(x,z),x). T(x,y * L(y \ 1,y,z)) / ((1 / (y * L(y \ 1,y,z))) \ x) = 1 / (y * ((z * y) \ z)). (((x * y) \ x) \ 1) / ((1 / (y * L(y \ 1,y,z))) \ (L(y \ 1,y,x) \ 1)) = 1 / (y * ((z * y) \ z)). (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = 1 / (y * ((x * y) \ x)). x != (((y * 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 \ 1 | x = (z * y) \ R(z,y,y \ 1). x \ (1 / ((y * x) \ y)) = (z * (x * ((y * x) \ y))) \ R(z,x * ((y * x) \ y),(x * ((y * x) \ y)) \ 1). (x * (y * ((z * y) \ z))) \ R(x,y * ((z * y) \ z),(y * ((z * y) \ z)) \ 1) = y \ (1 / ((z * y) \ z)). (x \ (L(1 / x,x,y) \ 1)) * T(z,x \ (1 / ((y * x) \ y))) = z * ((x \ 1) / ((x * ((y * x) \ y)) * (x \ 1))). ((x * ((y * x) \ y)) * z) * ((x * ((y * x) \ y)) \ 1) = R(z,x * ((y * x) \ y),x \ (1 / ((y * x) \ y))). ((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). x != T(T(1 / ((y * z) \ y),u),z) | x = T(1 / ((y * z) \ y),u). (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)). x != K(y,T(z \ 1,u) \ y) | x = K(y,T(z * y,u)). K(x,1 \ (((y * T(z,u)) \ y) * x)) = K(x,T(((y * z) \ y) * x,u)). K(x,((y * T(z,u)) \ y) * x) = K(x,T(((y * z) \ y) * x,u)). K(x,x * ((y * T(z,u)) \ y)) = K(x,T(((y * z) \ y) * x,u)). K(x,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(x * (y \ z),z)) = K(x,(y / z) \ x). x != K(y,T((z \ u) * y,u)) | x = K(y,T((z \ u) * y,z)). K(x,(y / z) \ x) = K(x,T((y \ z) * x,y)). K(x,T((y \ z) * x,y)) = K(x,(y / z) \ x). 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)). R(K(x,T(x * T(y,z),z)),x * u,w) = K(R(x,u,w),((y \ z) / z) \ x). K(R(x,y,z),((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),x * (u / (w \ u))) = K(R(x,y,z),T(x * T(w,u),u)). K(R(x,y,z),x * u) = K(R(x,y,z),T(x * T(u,w),w)). K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * u). K(x,T(y * x,z)) = K(x,(z / (z * y)) \ x). K(x,(y / (y * z)) \ x) = K(x,T(z * x,y)). K(x,T((y / (y * z)) \ T(T(x,u),w),w)) = K(T(x,w),T(z * T(x,w),y)). 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)). x != K(R(y,z,u),T(y * T(w,v5),v5)) | x = K(R(y,z,u),y * 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). 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)). K(x,x * R(y,z,u)) = K(x,R(x * y,z,u)). K(x,R(x * y,z,u)) * x = T(x,x * R(y,z,u)). T(x,R(x * y,z,u)) = T(x,x * R(y,z,u)). T(x,x * R(y,z,u)) = T(x,R(x * y,z,u)). 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(y,y * z) * a(u,w,K(v5,z)) | x = T(a(u,w,K(v5,z)) * y,z * y). T(x,R(x * y,z,u)) = T(a(x,z,K(u,y)) * x,y * x). 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)). 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)). x != T(y,R(y * z,u,w)) | x = T(y,L(z * y,u,w)). T(x,R(y,z,u)) = T(x,L((y / T(1 / (1 / x),w)) * x,z,u)). T(x,L((y / T(1 / (1 / x),z)) * x,u,w)) = T(x,R(y,u,w)). T(x,L(y * (x * (1 / T(x,z))),u,w)) = T(x,R(y,u,w)). 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 != T(y * (a(z,u,w) \ 1),R(y,a(z,u,w) \ 1,a(z,u,w))) | x = a(z,u,w) \ R(y,a(z,u,w) \ 1,a(z,u,w)). T(x * (a(y,z,u) \ 1),L(x,a(y,z,u) \ 1,a(y,z,u))) = a(y,z,u) \ R(x,a(y,z,u) \ 1,a(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). R(x,y,z) * T(u,L(x,y,z)) != w | u * R(x,y,z) = w. T(x,y / (z * u)) = T(x,L((y / u) / z,z,u)). T(x,L((y / z) / u,u,z)) = T(x,y / (u * z)). T(x,y / (z * K(u,w))) = T(x,L((y * K(w,u)) / z,z,K(u,w))). T(x,L((y * K(z,u)) / w,w,K(u,z))) = T(x,y / (w * K(u,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)). K(x,R(y,z,u)) != w | K(x,L(y,z,u)) = w. K(x,L(y,z,u)) = K(R(x,z,u),y). K(R(x,y,z),u) = K(x,L(u,y,z)). K(x,L(y,z,u)) = R(K(x,y),z,u). R(K(x,y),z,u) = K(x,L(y,z,u)). K(x,T((y * z) / u,u / z)) != w | K(x,L((u / z) \ y,u / z,z)) = w. R(K(x,y),z,u) != w | K(x,L(y,z,u)) = w. K(R(x,y,z),u) = K(L(x,y,z),u). x != K(R(y,z * u,a(y,z,u)),R(y,z * u,a(y,z,u)) * (((y * z) * u) \ (((z * u) * a(y,z,u)) * w))) | x = K(R(y,z * u,a(y,z,u)),w). K(x,L(R(x,y * z,a(x,y,z)) * (((x * y) * z) \ (((y * z) * a(x,y,z)) * u)),y * z,a(x,y,z))) = K(R(x,y * z,a(x,y,z)),u). K((x * y) / (z * y),u) = K(x / z,L(u,z,y)). K(x / (y * z),u) = K((x / z) / y,L(u,y,z)). K((x / y) / z,L(u,z,y)) = K(x / (z * y),u). K((R(x,y,z) * u) / (x * u),w) = K(x \ R(x,y,z),L(w,x,u)). K(x \ R(x,y,z),L(u,x,w)) = K((R(x,y,z) * w) / (x * w),u). K(x,L(y,x \ z,u)) \ ((x \ z) * u) = T(R(x,x \ z,u),y) \ (z * u). K(x,R(y \ z,y,u)) = K(x,(u * y) \ (u * z)). K(x,(y * z) / (u * z)) = K(x,L(y / u,u,z)). K(x,L(y / z,z,u)) = K(x,(y * u) / (z * u)). K(x,y / (z * u)) = K(x,L((y / u) / z,z,u)). K(x,L((y / z) / u,u,z)) = K(x,y / (u * z)). ((x * y) * z) * K(y * z,L(x,y,z)) = (y * z) * R(x,y,z). R(x,y,z) * (K(u,R(x,y,z)) * (y * z)) = K(u,L(x,y,z)) * ((x * y) * z). K(x,K((1 / (y \ z)) / u,L(u / y,y,y \ z))) = K(x,K(z,(1 / (y \ z)) / u)). K(x,L(y,z,u)) != w | R(K(x,y),z,u) = w. ((x * K(y,z)) * u) / (x * u) = K(y,L(T(z,x),x,u)). R(K(x,y),z,u) = L(K(x,y),z,u). x != K(a(y,z,u),w) | x = a(y,z,K(u,w)). R(K(a(x,y,z),u),w,v5) = a(x,y,K(z,L(u,w,v5))). x != R(K(y,(z / u) / w),u \ z,u) | x = K(y,z / (w * u)). K(x,L((y / z) / u,z \ y,z)) = K(x,y / (u * z)). K(x,L(T(T(y,z),z * u),z,u)) = (z * u) \ ((z * K(x,y)) * u). x != R(K(y,T(z,u)),K(z,y) * w,(K(z,y) * w) \ u) | x = u \ (w * ((K(z,y) * w) \ u)). K(x,L(T(y,z),K(y,x) * u,(K(y,x) * u) \ z)) = z \ (u * ((K(y,x) * u) \ z)). x != R(K(y,z \ 1),u,w) | x = K(y,R(z,u,w) \ 1). K(x,L(y \ 1,z,u)) = K(x,R(y,z,u) \ 1). K(x,R(y,z,u) \ 1) = K(x,L(y \ 1,z,u)). K(x,L(y,z,u)) * (z * u) = (K(x,y) * z) * u. K(x,L(y,z,u)) * (u * z) = (K(x,y) * z) * T(u,z). x * y != (z * u) * L(w,z,u) | x \ (u * (T(z,u) * w)) = y. K(x,L(y,z,L(u,K(x,y),z))) \ (z * (T(K(x,y),z) * u)) = z * L(u,K(x,y),z). x * y != z * u | T(x,y) = y \ ((K(z,u) * w) / ((u * z) \ w)). T(K(x,y) * z,u) = u \ ((K(K(x,L(y,z,u)),z * u) * w) / (((z * u) * K(x,L(y,z,u))) \ w)). x \ ((K(K(y,L(z,u,x)),u * x) * w) / (((u * x) * K(y,L(z,u,x))) \ w)) = T(K(y,z) * u,x). K(x,L(y,y \ z,u)) * ((y \ z) * u) = (T(y,x) \ z) * u. T(x,(K(x,y) * z) * u) = T(x,z * u). L(K(x,y),z,u) * (z * u) = (K(x,y) * z) * u. K(x,L(y,z,u)) * ((y * z) * u) = (K(x,y) * (y * z)) * u. K(L(x,y,z),u) * ((x * y) * z) = (K(x,u) * (x * y)) * z. K(((K(x,y) * z) * u) \ (K(x,L(y,z,u)) * w),v5) != v6 | K((z * u) \ w,L(v5,w,K(x,L(y,z,u)))) = v6. ((K(x,y) * z) * u) * a(x,z,K(u,L(y,z,u))) = (K(x,L(y,z,u)) * z) * u. L(K(x,y),z,u) \ ((K(x,y) * z) * u) = z * u. x * (y * z) != (K(u \ 1,w) * y) * z | x = K(R(u,y,z) \ 1,w). L(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). R(x,y,z) * (K(u,L(x,y,z)) * (y * z)) = K(u,L(x,y,z)) * ((x * y) * z). R(x,y,z) * ((K(u,x) * y) * z) = K(u,L(x,y,z)) * ((x * y) * z). K(x,L(y,z,u)) * ((y * z) * u) = R(y,z,u) * ((K(x,y) * z) * u). x != K(y,L(z,u,w)) * ((z * u) * w) | x = (K(y,z) * (z * u)) * w. R(x,y,z) * ((K(u,x) * y) * z) = (K(u,x) * (x * y)) * z. R(x,y,z) * ((K(u,x) * y) * z) = (x * (K(u,x) * y)) * z. R(x,y,z) = R(x,K(u,x) * y,z). R(x,K(y,x) * z,u) = R(x,z,u). R(x,T(y,x),z) = R(x,y,z). R(T(x,y),K(y,x) * z,u) = R(T(x,y),z,u). R(x,y,z) \ ((y * x) * z) = T(y,x) * z. (x * ((y * x) * z)) / (x * (T(y,x) * z)) = R(x,y,z). R(a(x,y,K(z,u)),w,v5) = a(x,y,K(z,L(u,w,v5))). K(x,(y * z) / (u * z)) = L(K(x,y / u),y,z). L(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). L(K(x / (y / z),u),x,z) = K((x * z) / y,u). T(L(K(x,y),z,u),w) * (z * u) = (T(K(x,y),w) * z) * u. L(K(x,y),z,u) * (u * z) = (K(x,y) * z) * T(u,z). L(K(x,y),z,u) \ (u * (K(x,y) * z)) = z * T(u,K(x,y) * z). ((x * y) * z) * K(y * z,x) = (y * z) * R(x,y,z). R(x,y,z) * T(y * z,x) = (y * z) * R(x,y,z). (R(x,y,z) * u) * K(x * u,x \ R(x,y,z)) = (x * u) * R(x \ R(x,y,z),x,u). ((x * y) * z) \ ((x * y) * R(z,x,y)) = (z * (x * y)) \ ((z * x) * y). ((x * y) * z) \ ((x * y) * R(z,x,y)) = a(z,x,y). a(x * K(y * z,x),y,z) = a(x,y,z). L(x \ R(x,y,z),x,y * z) = a(x,y,z). ((x * y) * z) * a(z,x,y) = (x * y) * R(z,x,y). ((K(x,y) * z) * u) * a(u,z,K(x,T(y,z))) = (z * K(x,T(y,z))) * R(u,z,K(x,T(y,z))). ((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))). 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). L(x,y,K(z,u)) = R(x,y,K(z,T(u,y))). R(x,y,K(z,T(u,y))) = L(x,y,K(z,u)). (K(x,y) * z) * R(u,z,K(x,y)) = K(x,y) * (z * u). L(x,y,K(z,u)) = R(x,y,K(z,u)). R(x,y,K(z,u)) = L(x,y,K(z,u)). R(x,y,T(z,u) * u) = L(R(x,y,z * u),y * (z * u),K(z,u)). L(R(x,y,z * u),y * (z * u),K(z,u)) = R(x,y,T(z,u) * u). x / (y * K(z,u)) = L((x * K(u,z)) / y,y,K(z,u)). L((x * K(y,z)) / u,u,K(z,y)) = x / (u * K(z,y)). x != L(y,z,K(u,w)) | x = y * a(y,z,K(u,w)). R(x,y,K(z,u)) = x * a(x,y,K(z,u)). x * a(x,y,K(z,u)) = R(x,y,K(z,u)). L(x / (K(y,z) \ u),K(y,z) \ u,K(y,z)) = (x * T(K(y,z),K(y,z) \ u)) / u. x != R(y \ (z / u),y,u) | x = T(z / (y * u),y). L(x \ (y / K(z,u)),x,K(z,u)) = T(y / (x * K(z,u)),x). L(x,y,K(z,u)) * (y * K(z,u)) = (x * y) * K(z,u). L(x,x \ y,K(z,u)) \ (y * K(z,u)) = (x \ y) * K(z,u). L(x,y,K(z,u)) * (y * K(z,u)) != w | (x * y) * K(z,u) = w. L(x,x \ y,K(z,z \ y)) \ (z * (y / z)) = (x \ y) * K(z,z \ y). R(x,y,a(z,u,K(w,v5))) = L(x,y,K(a(z,u,w),v5)). L(x,x \ T(y,z),K(u,y)) \ (K(u,y) * T(y,z)) = (x \ T(y,z)) * K(u,y). L(x,y \ 1,K(z,u)) * (y \ K(z,u)) = (x * (y \ 1)) * K(z,u). (x * y) * K(z,u) != w * (y * K(z,u)) | L(x,y,K(z,u)) = w. R(x,y,a(z,u,K(w,v5))) = L(x,y,a(z,u,K(w,v5))). L(a(x,y,z),x * (y * z),K(y,z)) = R(R(x,y,z) / x,x,T(y,z) * z). R(R(x,y,z) / x,x,T(y,z) * z) = L(a(x,y,z),x * (y * z),K(y,z)). x != R(R(y,z,u) / y,y,T(z,u) * u) | x = a(y,T(z,u),u). L(a(x,y,z),x * (y * z),K(y,z)) = a(x,T(y,z),z). a(x,T(y,z),z) != u | a(x,y,z) = u. x != L(y \ (z / K(u,w)),y,K(u,w)) | x = (K(u,w) * y) \ T(z,K(u,w)). T(x / (y * K(z,u)),y) = (K(z,u) * y) \ T(x,K(z,u)). K(x,K((y / z) / u,L(w,y / z,z))) = K(x,K(w,y / (u * z))). K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,y / ((1 / u) * z))). (R(x,y,z) * T(u,x)) * K(u * x,x \ R(x,y,z)) = (x * T(u,x)) * R(x \ R(x,y,z),x,T(u,x)). (R(x,y,z) * T(u,x)) * K(u * x,x \ R(x,y,z)) = (u * x) * R(x \ R(x,y,z),x,T(u,x)). (R(x,y,z) * T(u,x)) * K(u * x,x \ R(x,y,z)) = (u * x) * R(x \ R(x,y,z),x,u). L(K(x,y),z,u) * (u * (K(y,x) * z)) = z * T(u,K(y,x) * 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). 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). x \ (((y * T(x,K(z,u))) * K(z,u)) * ((K(z,u) * (y * T(x,K(z,w)))) \ (y * T(x,K(z,w))))) = T(y,K(u,z) * x). x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(u,z) * x). x != T(y,K(z,u) * w) | x = T(y,K(u \ z,u) * w). x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z \ u,z) * x). x \ T(y * T(x,K(z,u \ 1)),K(z,u \ 1)) = T(y,(u * T(u \ 1,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,z \ u)) = T(y,K(z \ u,z) * x). x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z,u) * x). (x * y) \ T(z * T(x * y,K(u,u \ x)),K(u \ x,u)) = T(z,(u * (x / u)) * y). 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 * y) \ T(z * T(x * y,K(x,u)),K(x,u)) = T(z,T(x,u) * y). T(x,K(y,z) * u) = T(x,K(z,y * z) * u). T(x,K(y,z * y) * u) = T(x,K(z,y) * u). T(x,K(y,z) * u) = T(x,K(z,z * y) * u). T(x,K(y,y * z) * u) = T(x,K(z,y) * u). x != T(y,K(z \ u,z) * w) | x = T(y,K(u,z) * w). T(x,K(y,y \ z) * u) = T(x,K(z,y) * u). x * y != T(z,K(u,w) * v5) | x \ T(z,K(w,u) * v5) = y. x \ T(x,K(y,z) * u) = K(x,K(z,y) * u). T(x,y * K(z,u)) = T(x,K(u,z) * T(y,K(z,u))). T(x,K(y,z) * T(u,K(z,y))) = T(x,u * K(z,y)). 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). T(x,T(y,z) * u) = T(x,K(z,y) * (y * u)). T(x,K(y,z) * (z * u)) = T(x,T(z,y) * u). T(x,(y * z) \ u) = T(x,K(y,z) * ((z * y) \ u)). T(x,K(y,z) * ((z * y) \ u)) = T(x,(y * z) \ u). T(x,K(y,z * y) * u) != w | T(x,K(z,y) * u) = w. T(x,T(y,z) / u) = T(x,K(z,y) * (y / u)). T(x,K(y,z) * (z / u)) = T(x,T(z,y) / u). T(x,y * K(z,u)) = T(x,y * K(u,z)). x / T(x,y * K(z,u)) = K(y * K(u,z),x). T(x,y / T(z,u)) = T(x,(y / z) * K(z,u)). T(x,(y / z) * K(z,u)) = T(x,y / T(z,u)). K(x * K(y,z),u) = K(x * K(z,y),u). K(x * K(y,z),u) != w | K(x * K(z,y),u) = w. K(x,K(y,z) * u) = K(x,K(z,y) * u). K(x,K(y,z) * u) != w | K(x,K(z,y) * u) = w. K(x,K(y,y \ z) * u) = K(x,K(z,y) * u). K(x,K(y,z) * u) = (x * T(w,K(x,K(z,y) * u))) \ (T(x,K(z,y) * u) * w). (x * T(y,K(x,K(z,u) * w))) \ (T(x,K(z,u) * w) * y) = K(x,K(u,z) * w). K(x,K(y,z) * ((u * w) \ u)) != v5 | K(x,K(z,y) * L(w \ 1,w,u)) = v5. 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,K(y * z,u \ (y * z)) * w) = K(x,K(u \ (z * y),y * z) * w). K(x,K(y \ (z * u),u * z) * w) = K(x,K(u * z,y \ (u * z)) * w). K(x,K(y,y \ z) * u) != w | K(x,K(z,y) * u) = w. K(x,T(y,z) / u) = K(x,K(z,y) * (y / u)). K(x,K(y,z) * (z / u)) = K(x,T(z,y) / u). K(x,K(y,z) * (z \ u)) = K(x,T(z,y) \ u). K(x,((y * z) / y) \ u) = K(x,T(z,y) \ u). K(x,(y / z) \ u) = K(x,T(z \ y,z) \ u). K(x,T(y \ z,y) \ u) = K(x,(z / y) \ u). R(x,y,K(z,u)) != w | L(x,y,K(z,u)) = w. 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,(L(y,z,y) * z) \ u) = K(x,T(z * y,y) \ u). x != K(y,(L(z,u,z) * w) \ v5) | x = K(y,(z * w) \ v5). K(x,T(y * z,z) \ u) = K(x,(z * y) \ u). K(x,T(y,z) \ u) = K(x,(z * (y / z)) \ u). K(x,(y * (z / y)) \ u) = K(x,T(z,y) \ u). x != T(L(K(y,z),T(z,u),w),v5) * (T(z,y) * (z \ v5)) | x = v5 * K(L(K(y,z),T(z,u),w),v5). (T(K(x,y),z) * T(y,x)) * (y \ z) = z * K(L(K(x,y),T(y,x),y \ z),z). x * K(L(K(y,z),T(z,y),z \ x),x) = (T(K(y,z),x) * T(z,y)) * (z \ x). T(x,K(y,z)) = T(K(y,x),z) * T(x,y). T(K(x,y),z) * T(y,x) = T(y,K(x,z)). K(x,y / z) * T(z \ y,x) = T(z \ y,K(x,y)). x != K(y,z / u) * T(u \ z,y) | x = T(z / u,T(u,y)). T(x \ y,K(z,y)) = T(y / x,T(x,z)). (x \ y) / T(y / x,T(x,z)) = K(K(z,y),x \ y). (x \ y) / T(y / x,T(x,z)) = K(z,K(y,x \ y)). (x \ y) / T(y / x,T(x,z)) = K(z,K(y,y / x)). x != K(y,K(z,z / u)) | x = K(z,K(y,u)). (x \ y) / T(y / x,T(x,z)) = K(y,K(z,x)). (x \ y) / T(y / x,T(x,z)) = K(x,K(y,z)). x \ T(y * T(x,K(z,u)),K(z,u \ 1)) = T(y,(u * T(u \ 1,z)) * x). x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,(u * T(u \ 1,z)) * x). T(x,(y * T(y \ 1,z)) * u) = T(x,K(y,z) * u). T(x,K(y \ 1,z) * u) = T(x,K(y,z) * u). x * y != T(z,K(u \ 1,w) * v5) | x \ T(z,K(u,w) * v5) = y. x \ T(x,K(y,z) * u) = K(x,K(y \ 1,z) * u). K(x,K(y \ 1,z) * u) = x \ T(x,K(y,z) * u). T(x,y * K(z \ 1,u)) = T(x,K(z,u) * T(y,K(u,z \ 1))). T(x,K(y,z) * T(u,K(z,y \ 1))) = T(x,u * K(y \ 1,z)). K(x,K(y \ 1,z) * u) = K(x,K(y,z) * u). K(x,K(y,z \ 1) * u) = K(x,K(z,y) * u). L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w). K(x,K(y,z \ u) * w) = K(x,K(u \ z,y) * w). K(x,K(y \ z,u) * w) = K(x,K(u,z \ y) * w). L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(y \ K(y,u),z) * u) \ w). K(x,y * K(z,u \ 1)) = K(x,K(u,z) * T(y,K(z,u))). K(x,K(y,z) * T(u,K(z,y))) = K(x,u * K(z,y \ 1)). K(x,K(y,z \ 1) * u) != w | K(x,K(y,z) * u) = w. K(x,(y * K(z,u)) \ w) = K(x,(K(u \ K(u,y),z) * y) \ w). K(x,(K(y \ K(y,z),u) * z) \ w) = K(x,(z * K(u,y)) \ w). K(x,(y * K(z \ 1,u)) \ w) = K(x,(y * K(u,z)) \ w). K(x,(y * K(z \ 1,u)) \ K(u,K(y * K(u,z),z))) = K(x,(L(K(u,z),y,K(u,z)) * y) \ 1). K(x,K(y,z) * u) = K(x,K(z,y \ z) * u). K(x,K(y,z \ y) * u) = K(x,K(z,y) * u). x != K(y,K(z,u) * (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 \ y) * u) != w | K(x,K(y,z) * u) = w. x != K(y,K(z,u) * (u \ w)) | x = K(y,T(u,z) \ w). K(x,T(y,z \ y) \ u) = K(x,T(y,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,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))) = K(x,T(y / z,u)). K(x,(y * K(z \ 1,u)) \ K(u,K(y,z))) = K(x,(L(K(u,z),y,K(u,z)) * y) \ 1). K(x,(y * K(z \ 1,u)) \ K(y,K(z,u))) = K(x,(L(K(u,z),y,K(u,z)) * y) \ 1). K(x,(K(y \ 1,z) * u) \ 1) = K(x,(L(K(z,y),u,K(z,y)) * u) \ 1). K(x,(L(K(y,z),u,K(y,z)) * u) \ 1) = K(x,(K(z \ 1,y) * u) \ 1). x != K(y,(K(z,u) * w) \ 1) | 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,y \ K(z,u \ 1)) = K(x,(K(z,u) * y) \ 1). K(x,(K(y,z) * u) \ 1) = K(x,u \ K(y,z \ 1)). K(x,y \ K(z,u)) = K(x,y \ K(u,z \ 1)). K(x,y \ K(z,u \ 1)) = K(x,y \ K(u,z)). T(x,y * 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)). K(L(x,y,z) \ 1,u) = K(R(x,y,z) \ 1,u). K(R(x,y,z) \ 1,u) = K(L(x,y,z) \ 1,u). (x \ K(L(y,z,u) \ 1,w)) \ (x \ 1) = K(w,R(y,z,u) \ 1). K(x,L(y,z,u) \ 1) = K(x,R(y,z,u) \ 1). K(x,R(y,z,u) \ 1) = K(x,L(y,z,u) \ 1). K(x,T((y * z) / u,u / z) \ 1) = K(x,L((u / z) \ y,u / z,z) \ 1). K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T((u * z) / y,y / z) \ 1). x != K(y,T(z,u) \ 1) | 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)))). K(x,T(y / z,y / (u \ z))) = K(x,T(z,u) \ ((u \ z) * (y / (u \ z)))). x != K(y,T(z / u,z / (w \ u))) | x = K(y,T(z / u,w)). K(x,T(y,z) \ ((z \ y) * (u / (z \ y)))) = K(x,T(u / y,z)). K(x,T(y,T(y,z) / z) \ (T(z,y) * (u / ((T(y,z) / z) \ y)))) = K(x,T(u / y,T(y,z) / z)). K(x,T(y,z \ y) \ (T(z,y) * (u / ((T(y,z) / z) \ y)))) = K(x,T(u / y,T(y,z) / z)). K(x,T(y,z \ y) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). 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)). 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. T(x,(y \ z) \ u) != w | T(x,K(y \ z,y) * ((z / y) \ u)) = w. x \ T(y * T(x,K(z,u)),K(z,u)) != w | T(y,K(u,z) * x) = w. T(x,K(y,z * y) * u) != w | T(x,K(y,z) * u) = w. T(x,K(y * z,z) * u) != w | T(x,K(z,y) * u) = w. T(x,K(y,z) * T(u,K(y,z))) = T(x,u * K(y \ 1,z)). T(x,y * K(z,u)) = T(x,y * K(z \ 1,u)). T(x,y * K(z \ 1,u)) = T(x,y * K(z,u)). T(x,L((y / z) / T(u,z),T(u,z),z)) = T(x,y / (u * ((u * z) / u))). (x * y) / (K(z,T(x,u / (w * v5))) * y) = T(x,T(z,L((u / v5) / w,w,v5))). T(x,T(y,L((z / u) / w,w,u))) = (x * v5) / (K(y,T(x,z / (w * u))) * v5). K(L(x,y,z),u) * ((x * y) * z) = (T(x,u) * y) * z. K(x,y * K(z,u)) = K(x,y * K(u,z \ 1)). K(x,y * K(z,u \ 1)) = K(x,y * K(u,z)). 1 / K(x,y * K(z,u)) = K(y * K(u,z \ 1),x). K(x * K(y,z),u) = K(x * K(z,y \ 1),u). K(x * K(y,z \ 1),u) = K(x * K(z,y),u). K(x * K(y \ 1,z),u) = K(x * K(y,z),u). K(((x * (y \ z)) / x) * y,u) = K(z * K(z \ y,x),T(u,y)). x != K(y * K((y \ z) \ 1,u),T(w,z)) | x = K(z * T(y / z,u),w). K(x * K(x \ y,z),T(u,y)) = K(y * T(x / y,z),u). x != K(y * K(y \ z,u),T(w,z)) | x = K(((u * (z \ y)) / u) * z,w). K(x * T(y / x,z),u) = K(((z * (x \ y)) / z) * x,u). K(((x * (y \ z)) / x) * y,u) = K(y * T(z / y,x),u). K(((x * y) / x) / z,u) = K((z \ 1) * T((z \ y) / (z \ 1),x),u). x != K((y \ 1) * T(z / (y \ 1),u),w) | x = K(y \ T(z * y,u),w). K(((x * y) / x) / z,u) = K(z \ T((z \ y) * z,x),u). K(x \ T((x \ y) * x,z),u) = K(((z * y) / z) / x,u). K(T(x \ T(y,z),x),u) = K(((z * y) / z) / x,u). K(T(x,y) / z,u) = K(((y * x) / y) / z,u). K(((x * y) / x) / z,u) = K(T(y,x) / z,u). x != K(((y * z) / y) / T(u,T(z,y)),w) | x = K(T(z * K(y,z),u) / u,w). K(T(x,y) / T(z,T(x,y)),u) = K(T(x * K(y,x),z) / z,u). K(T(x * K(y,x),z) / z,u) = K(T(x,y) / T(z,T(x,y)),u). K(x \ (y * K(z,y)),u) = K(T(y,z) / T(x,T(y,z)),u). K(T(x,y) / T(z,T(x,y)),u) = K(z \ (x * K(y,x)),u). K(x \ T(y,z),u) = K(x \ (y * K(z,y)),u). K(x \ (y * K(z,y)),u) = K(x \ T(y,z),u). K(x \ y,z) = K(x \ T(T(y,u),u),z). K(x \ T(T(y,z),z),u) = K(x \ y,u). 1 / K(x \ y,z) = K(z,x \ T(T(y,u),u)). K(x,y \ T(T(z,u),u)) = 1 / K(y \ z,x). K(x,y \ T(T(z,u),u)) = K(x,y \ z). K(x,y \ T(z \ u,z)) = K(x,y \ (u / z)). K(x,y \ T(z * (u / T(z,u)),z)) = K(x,y \ (z * (u / z))). K(x,y \ T(z,u)) = K(x,y \ (z * K(u,z))). K(x,y \ (z * K(u,z))) = K(x,y \ T(z,u)). K(x,(y \ z) \ K(u,y)) = K(x,z \ T(y,u)). K(x,(y \ z) \ K(u \ 1,y)) = K(x,z \ T(y,1 / u)). x != K(y,z \ T(u * w,u)) | x = K(y,z \ (w * u)). K(x,y \ (z * (u / z))) = K(x,y \ ((u / T(z,u)) * z)). K(x,y \ ((z / T(u,z)) * u)) = K(x,y \ (u * (z / u))). K(x,y \ T(z,u)) = K(x,y \ (u * (z / u))). K(x,y \ (z * (u / z))) = K(x,y \ T(u,z)). x != K(y,(z * u) \ (z * (w / z))) | x = K(y,L(((w / z) \ u) \ 1,z \ w,z)). K(x,(y * z) \ T(u,y)) = K(x,L(((u / y) \ z) \ 1,y \ u,y)). K(x,L(((y / z) \ u) \ 1,z \ y,z)) = K(x,(z * u) \ T(y,z)). x != K(y,T(z,u) \ (T(u,z) * (w / T(u,z)))) | x = K(y,T(w / z,u \ z)). K(x,T(y,z) \ T(u,T(z,y))) = K(x,T(u / y,z \ y)). K(x,y \ (T(z,u) * u)) = K(x,y \ T(z * u,z)). K(x,y \ T(z * u,z)) = K(x,y \ (T(z,u) * u)). x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,y \ x)). x != T(y,L((z / u) / w,w,u)) | x = T(y,z / (w * u)). T(x,y / (z * ((z * u) / z))) = T(x,y / (T(z,u) * u)). T(x,y / (T(z,u) * u)) = T(x,y / (z * ((z * u) / z))). x * K(x,y \ (z / u)) = T(x,y \ T(u \ z,u)). T(x,y \ T(z \ u,z)) = x * K(x,y \ (u / z)). T(x,y \ T(z \ u,z)) != w | T(x,y \ (u / z)) = w. T(x * (a(y,z,u) \ 1),x) = a(y,z,u) \ R(x,a(y,z,u) \ 1,a(y,z,u)). x != y \ R(z,y \ 1,y) | x = T(z * (1 / y),y). T(x * (a(y,z,u) \ 1),x) = T(x * (1 / a(y,z,u)),a(y,z,u)). T(x * (a(y,z,u) \ 1),x) = T(x * (a(y,z,u) \ 1),a(y,z,u)). T(x * (a(y,z,u) \ 1),a(y,z,u)) = T(x * (a(y,z,u) \ 1),x). L(x * (a(y,z,u) \ 1),z,K(u,y)) = T(x * (a(y,z,u) \ 1),x). T(x * (a(y,z,u) \ 1),x) = L(x * (a(y,z,u) \ 1),z,K(u,y)). 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 * K(z * y,z \ 1)) / (z * y)) * u) = T(x,T(R(1 / z,z,y),z * y) * u). T(x,((y / (z * y)) * K(z * y,z \ 1)) * u) = T(x,T(R(1 / z,z,y),z * y) * u). T(x,y * T(T(z,u),u)) = T(T(x,K(y,z)),z * y). T(T(x,K(y,z)),z * y) = T(x,y * T(T(z,u),u)). T(x,y * z) = T(x,y * T(T(z,u),u)). T(x,y * T(T(z,u),u)) = T(x,y * z). T(x,y * T(z,u)) = T(x,y * ((u * z) / u)). T(x,y * ((z * u) / z)) = T(x,y * T(u,z)). T(x,y * T(z,z \ u)) = T(x,y * (u / (u / z))). T(x,y * ((z * u) / z)) = x * K(x,y * T(u,z)). x / T(x,y * T(z,u)) = K(y * ((u * z) / u),x). K(x * ((y * z) / y),u) = u / T(u,x * T(z,y)). K(x * ((y * z) / y),u) = K(x * T(z,y),u). K((x \ y) * ((z * ((x \ y) \ (x \ u))) / z),w) = K(x \ (y * T(y \ u,z)),w). K(x * L(y * K(z,y),u,w),v5) = K(x * T(L(y,u,w),z),v5). K(x \ (y * ((z * (y \ u)) / z)),w) = K(x \ (y * T(y \ u,z)),w). K(x \ K(y,z \ 1),u) = K(x \ (z * T(z \ 1,y)),u). K(x \ (y * T(y \ 1,z)),u) = K(x \ K(z,y \ 1),u). K(x \ K(y \ 1,z),u) = K(x \ K(z,y \ 1),u). (x \ K(y \ K(z,u \ 1),w)) \ (x \ 1) = K(w,y \ K(u \ 1,z)). K(x,y \ K(z,u \ 1)) = K(x,y \ K(u \ 1,z)). K(x,y \ K(z \ 1,u)) = K(x,y \ K(u,z \ 1)). x != K(y,z \ K(u,w \ 1)) | x = K(y,z \ K(w,u)). 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))). T(x,(T(y,z) * z) \ u) = T(x,(z * y) \ u). K(x,T(y / (z * u),z)) = K(x,(u * z) \ (u * (y / u))). K(x,T(y / ((z \ u) * z),z \ u)) = K(x,u \ (z * (y / z))). K(x,T(1 / (y * z),y)) = K(x,(z * y) \ K(z,1 / z)). K(x / (y * z),u) = K(L((x / z) / y,y,z),u). K(L((x / y) / z,z,y),u) = K(x / (z * y),u). K(x,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))). K(x,(y * K(z,u)) \ w) = K(x,(K(z,u \ K(u,y)) * y) \ w). K(x,(K(y,z \ K(z,u)) * u) \ w) = K(x,(u * K(y,z)) \ w). K(x,(y * K(z,u \ 1)) \ w) = K(x,(y * K(z,u)) \ w). x != K(y,(z * K(z * u,u \ 1)) \ ((z * u) * (w / (z * u)))) | x = K(y,T(w / z,T(u,z))). 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)). x != K(y,z \ (u * (w / u))) | x = K(y,z \ T(w,u)). 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)). 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)). x != K(y,T(z * u,u) \ w) | x = K(y,(u * z) \ w). K(x,T(y / (z * u),(z * u) \ u)) = K(x,(u * z) \ T(y,T(u,z))). K(x,T(y / (z * u),u \ (z \ u))) = K(x,(u * z) \ T(y,T(u,z))). K(x,T(y / (z * u),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,(z / u) * z)). K(x,T(y / z,(z / u) * z)) = K(x,T(y / z,u)). K(x,T(y / z,z * (u \ z))) = K(x,T(y / z,u)). K(x,T(y,z * u)) = K(x,T(y,z \ u)). K(x,T(y,z \ u)) = K(x,T(y,z * u)). K(x,T(y,T(z,u))) = K(x,T(y,u * (z \ u))). K(x,T(y,z * (u \ z))) = K(x,T(y,T(u,z))). K(x,T(y,z \ u)) = K(x,T(y,u * z)). x != K(y \ (z * u),T(y / z,u \ y)) | x = K(y \ (z * u),z \ y). K(x \ (y * z),T(x / y,z * x)) = K(x \ (y * z),y \ x). x * y != K(z,T(u,w \ v5)) | x \ K(z,T(u,w * v5)) = y. K(x * y,x) \ K(x * y,T(x,z * u)) = K(x,K(y,z \ u)). K(x,y) = K(x,T(y,z * z)). K(x,T(y,z * z)) = K(x,y). x * K(x,T(y,z * u)) = T(x,T(y,z \ u)). K(x * (y \ z),T(u,z * y)) != w | K((y \ z) * x,u) = w. x != K(y,T(z / u,u * (w \ u))) | x = K(y,T(z / u,w)). K(x,T(y / z,T(u,z))) = K(x,T(y / z,u)). K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(x,K(y,z)). K(x,K(y,T(z,u))) = K(z,K(x,y)). K(x,K(y,T(z,u))) = K(x,K(z,y)). K(x,K(T(y,z),u)) = K(x,K(y,u)). K(x,K(y,z \ u)) = K(y,K(x,u / z)). K(x,K(y,T(z,u))) = K(x,K(y,z)). K(x,T(y,z)) * K(y,K(x,u)) = K(x,T(T(y,z),u)). K(x,K(y,z * u)) = K(u * z,K(x,y)). K(x * y,K(z,u)) = K(z,K(u,y * x)). K(x,K(y,z \ u)) = K(x,K(u / z,y)). K(x,K(y / z,u)) = K(x,K(u,z \ y)). x != K(y,K(z * K(u,y),T(u,w))) | x = ((w * (K(u,y) * z)) / w) / ((w * (z * K(u,y))) / w). K(x,K(y * K(z,x),z)) = ((u * (K(z,x) * y)) / u) / ((u * (y * K(z,x))) / u). ((x * (K(y,z) * u)) / x) / ((x * (u * K(y,z))) / x) = K(z,K(u * K(y,z),y)). K(x,K(y,z \ u)) = K(x,K(y,u / z)). K(x,K(y,z / u)) = K(x,K(y,u \ z)). K(x,K(y \ z,u)) = K(x,K(z / y,u)). K(x,K(y / z,u)) = K(x,K(z \ y,u)). x * K(y,K(z,u)) = K(y,K(z,u)) * x. K(x,K(y,z)) * u = u * K(x,K(y,z)). K(x,K(y,L(z / u,u,w))) = K(x,K(y,(w * u) \ (w * z))). K(x,y / T(z,u)) * K(x,K(y,z)) = K(x,T(z,u) \ y). K(x,y \ T(z,u)) * K(x,K(y,z)) = K(x,T(z,u) / y). K(x,K(y,z * u)) = K(x,K(y,u * z)). 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. T(x,K(y,z)) \ u = (x \ u) * K(y,K(z,x)). (x \ y) * K(z,K(u,x)) = T(x,K(z,u)) \ y. T(x,K(y,K(z,u))) = x. K(x,K(y,z)) \ u = u * K(x,K(y,z)). K(x,K(y,z)) * (u * K(x,K(y,z))) = u. x != (y \ z) * K(z,u) | x = y \ T(z,u). K(x,K(y,z)) * (u \ x) = u \ T(x,K(y,z)). x != (y * K(z,u)) * K(z,K(u,w)) | x = y * T(K(z,u),w). K(x,K(y,z)) * (u * K(x,y)) = u * T(K(x,y),z). x != (y / z) * K(z,K(u,w)) | x = y / T(z,K(u,w)). K(x,K(y,z)) * (u / x) = u / T(x,K(y,z)). K(x,K(y,z)) * (u * x) = u * T(x,K(y,z)). x * (K(y,K(z,u)) * w) != w * K(y,K(z,u)) | 1 = x. 1 = K(x,K(y,K(z,u))). K(x,K(y,K(z,u))) = 1. x * (K(y,K(z,u)) * w) = x * (w * K(y,K(z,u))). K(x,y) * z != T(u,x) * K(x,y) | z = T(u,T(x,y)). T(x,y) = T(x,T(y,K(z,u))). T(x,T(y,K(z,u))) = T(x,y). K(x,y) * z != (x * T(u,T(x,y))) * K(x,y) | z = u * x. x * T(y,T(x,K(z,u))) = y * x. x / T(y,K(z,u)) = K(z,K(u,y)) * (x / y). K(x,K(y,z)) * (u / z) = u / T(z,K(x,y)). x * (y * K(x,K(z,u))) = T(x,K(z,u)) * y. K(x,K(y,z)) * u = u * K(y,K(x,z)). K(x,K(y,z)) * u = u * K(x,K(z,y)). x * (y * K(z,K(x,u))) != w | T(x,K(z,u)) * y = w. T(x,K(y,z) * u) = T(x,u * K(y,z)). K(x,T(y,K(z,u))) = K(x,y). T(x,T(K(y,z),u)) = T(x,K(y,z)). x != T(T(y,z / u),K(u,z)) | x = T(y,u \ z). T(x,K(y,z) / u) = T(x,u \ K(y,z)). K(x,K(y,z)) * u != w | u * K(x,K(y,z)) = w. T(x,K(y,K(z,u))) != w | w = x. x * K(y,K(z,u)) != w | K(y,K(z,u)) * x = w. T(x,K(y,z) * u) != w | T(x,u * K(y,z)) = w. T(x / (y * K(z,K(u,w))),y) = (K(z,K(u,w)) * y) \ x. K(K(x,y) * (z * x),u) = K(z * T(x,y),u). K(K(x,y) * z,u) = K(z * K(x,y),u). 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,K(y,z)) * K(y * z,x) = K(z * y,x). K(x,y) = K(T(x,K(z,u)),y). K(T(x,K(y,z)),u) = K(x,u). K(x,K(y,z) / u) = K(x,u \ K(y,z)). T(K(x,y),K(z,u)) = K(x,y). x != K(y * K(z,u),z) | x = K(y,z). K(x * K(y,z),T(y,K(u,w))) = K(x,y). K(x,y) = (K(y,x) * K(z,u)) \ K(z,u). (K(x,y) * K(z,u)) \ K(z,u) = K(y,x). K(x,T(y,T(z,u))) = K(x,T(y,z)). K(x,y) * K(z,u) = K(z,u) * K(x,y). K(x,K(y,z) / u) != w | K(x,u \ K(y,z)) = w. (K(x,y) * K(z,u)) * K(y,x) = K(z,u). K(x,y) * (K(z,u) * x) = K(z,u) * T(x,y). K(x,K(y,z) * (u * y)) = K(x,u * 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)). T(L(K(x,y),z,u),K(w,v5)) = L(K(x,y),z,u). T(K(x,y),K(z,u)) != w | K(x,y) = w. K(x,T(y,K(z,u))) != w | K(x,y) = w. K(T(x,K(y,z)),u) != w | K(x,u) = w. K(x,y * (z * K(u,w))) = K(x,K(u,L(w,z,y)) * (y * z)). K(x,K(y,L(z,u,w)) * (w * u)) = K(x,w * (u * K(y,z))). K(x,y) * K(z,u) != w | K(z,u) * K(x,y) = w. L(K(x,y),x,z) = (x * K(u,w)) \ (T(x,y) * K(u,w)). K(x,T(y,z * u)) = K(x,T(y,u * z)). K(x,y * K(z,u)) != w | K(x,K(z,u) * y) = w. K(x,K(y,z) * u) != w | K(x,u * K(y,z)) = w. K(x * K(y,z),u) != w | K(K(y,z) * x,u) = w. K(K(x,y) * z,u) != w | K(z * K(x,y),u) = w. (K(x,y) * K(z,u)) \ K(z,u) != w | K(y,x) = w. K(x,T(y,z)) * K(u,w) = K(u,w) * K(z / (z / x),y). K(x,y) * K(z / (z / u),w) = K(u,T(w,z)) * K(x,y). K(x,K(y,z / u)) = K(x,K(y,z \ u)). K(x,K(y,z)) = K(x,K(z,u \ (y \ u))). K(x,K(y,z \ (u \ z))) = K(x,K(u,y)). 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))). K(x,K(y,z / u)) = K(x,K(u \ z,y)). K(x,K(y \ z,u)) = K(x,K(u,z / y)). x != K(y,K(z,u / w)) | x = K(y,K(z,u * (w \ 1))). K(x,K(y,z \ u)) = K(x,K(y,u * (z \ 1))). K(x,K(y,z * (u \ 1))) = K(x,K(y,u \ z)). K(x,K(y,z \ u)) * K(x,y / (u / z)) = K(x,(u / z) \ y). K(x,K(y,z \ u)) * K(x,(u / z) * y) = K(x,y * (u / z)). K(x,K(y,z / u)) = K(x,K(y,(1 / u) * z)). K(x,K(y,(1 / z) * u)) = K(x,K(y,u / z)). K(x,K(y \ 1,z)) * K((y \ K(u,z)) * z,x) = K(z * (y \ K(u,z)),x). K(x,K(y \ (z \ y),u)) * K((z \ 1) * T(u,y),x) = K(T(u,y) * (z \ 1),x). K(x,K(y,z)) * K((y \ K(u,z)) * z,x) = K(z * (y \ K(u,z)),x). K(x,K(y,z \ (u \ z))) * K((u \ 1) * T(y,z),x) = K(T(y,z) * (u \ 1),x). K(x,K(y,z)) * K((y \ 1) * T(z,u),x) = K(T(z,u) * (y \ 1),x). K(x,K(y,z)) * K(y \ T(z,u),x) = K(T(z,u) * (y \ 1),x). K(x,K(y,z)) * K(y \ T(z,u),x) != w | K(T(z,u) / y,x) = w. T(x,K(y,z) * u) = T(x,u * K(z,y)). x != T(y,K(z,u) * w) | x = w \ T(y * T(w,K(u,z)),K(u,z)). T(x,y * K(z,u)) = y \ T(x * T(y,K(u,z)),K(u,z)). x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,x * K(u,z)). x != T(y,K(z,z \ u) * w) | x = T(y,K(u,z) * w). T(x,y * K(z,z \ u)) = T(x,K(u,z) * y). T(x,y * K(z \ u,z)) = T(x,K(u,z) * y). x / T(x,y * K(z,u)) = K(K(z,u) * y,x). x / T(x,y * K(z,u)) != w | K(K(z,u) * y,x) = w. T(x,K(y,z) * (u * y)) = T(x,u * T(y,z)). T(x,K(y,z) * (u / z)) = T(x,u / T(z,y)). T(x,K(y,z) * (u \ y)) = T(x,u \ T(y,z)). T(x * T(y,K(z,u)),K(z,u)) = y * T(x,y * K(z,u)). K(K(x,y) * z,u) = K(z * K(y,x),u). K(x * K(y,z),u) != w | K(K(z,y) * x,u) = w. x != K(y * K(z,u \ 1),w) | x = K(y * K(u,z),w). K(K(x \ 1,y) * z,u) = K(z * K(x,y),u). K(T(x,y) \ z,u) = K((x \ z) * K(x,y),u). K((x \ y) * K(x,z),u) = K(T(x,z) \ y,u). K(K(x \ 1,x) * y,z) != u | K(y,z) = u. K(K(x,x \ y) * (z * y),u) = K(z * ((x \ y) * x),u). K(K(x,y) * (z \ y),u) = K(z \ T(y,x),u). x * y != R(z,x,(z * x) \ u) \ u | y = (z * x) \ u. (R(x,K(y,K(z,u)),(x * K(y,K(z,u))) \ w) \ w) * K(y,K(z,u)) = (x * K(y,K(z,u))) \ w. (x * (y * K(z,K(u,w)))) \ (x * (y * v5)) = L(L(v5 * K(z,K(u,w)),K(z,K(u,w)),y),y * K(z,K(u,w)),x). L(L(x * K(y,K(z,u)),K(y,K(z,u)),w),w * K(y,K(z,u)),v5) = (v5 * (w * K(y,K(z,u)))) \ (v5 * (w * x)). (x * (K(y,K(z,u)) * w)) / (w * K(y,K(z,u))) = x. (x * (y * K(z,K(u,w)))) \ (x * ((K(z,K(u,w)) * y) * v5)) = L(v5,K(z,K(u,w)) * y,x). T((x * (K(y,K(z,u)) * w)) / (w * K(y,K(z,u))),w) = T(x,K(y,K(z,u)) * w). T(x,y) = T(x,K(z,K(u,w)) * y). T(x,K(y,K(z,u)) * w) = T(x,w). x != T(y,K(z,u) * w) | x = T(y,w * K(z,u)). T(x,y) = T(x,y * K(z,K(u,w))). T(x,y * K(z,K(u,w))) = T(x,y). x * y != T(z,K(u,K(w,v5)) * v6) | x \ T(z,v6) = y. x \ T(x,y) = K(x,K(z,K(u,w)) * y). K(x,K(y,K(z,u)) * w) = x \ T(x,w). T(x,y * T(z,K(u,w))) = T(x,y * z). T(x,K(y,T(z,u))) = T(x,K(y,z)). T(x,K(y,T(z,u)) * w) = T(x,K(y,z) * w). T(x,T(y,T(z,u))) = T(x,T(y,z)). T(x,K(y,z / u)) = T(x,K(y,u \ z)). T(x,(y * K(z,u)) * w) = T(x,(K(z,u) * y) * w). T(x,(K(y,z) * u) * w) = T(x,(u * K(y,z)) * w). T(x,T(y,T(z,u)) * w) = T(x,T(y,z) * w). T(x,K(y,z * u)) = T(x,K(y,u * z)). K(x,K(y,K(z,u)) * w) = K(x,w). K(x,K(y,K(z,u)) * w) != v5 | K(x,w) = v5. K(x,y \ z) = K(x,T(y,K(u,w)) \ z). K(x,T(y,K(z,u)) \ w) = K(x,y \ w). K(x,T(T(y,K(z,u)),w)) != v5 | K(x,T(y,w)) = v5. K(x,L(T(y,K(z,u)),w,v5)) != v6 | K(x,L(y,w,v5)) = v6. K(x,y \ T(z,K(u,w))) != v5 | K(x,y \ z) = v5. K(x,y * T(z,K(u,w))) != v5 | K(x,y * z) = v5. K(x,y * K(z,K(u,w))) != v5 | K(x,y) = v5. K(x,K(y,K(z,u)) \ w) != v5 | K(x,w) = v5. K(x,(y * K(z,u)) \ w) != v5 | K(x,(K(z,u) * y) \ w) = v5. K(x,T(y,T(z,u))) != w | K(x,T(y,z)) = w. K(x,K(y,z \ u)) != w | K(x,K(y,u / z)) = w. K(x,(K(y,z) * u) \ w) != v5 | K(x,(u * K(y,z)) \ w) = v5. K(x,T(y,L(K(z,u),w,v5))) != v6 | K(x,y) = v6. K(x,T(y,T(z,u)) * w) != v5 | K(x,T(y,z) * w) = v5. 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,K(u,w))) = K(x,y \ z). K(x,y * K(z,u)) != w | K(x,K(u,z) \ y) = w. K(x,y \ (K(z,u) * w)) != v5 | K(x,y \ (w * K(z,u))) = v5. K(x,y \ z) != u | K(x,(K(w,v5) * (y / K(w,v5))) \ z) = u. K(x,K(y,z) * u) = K(x,u * K(y,y * z)). K(x,y * K(z,z * u)) = K(x,K(z,u) * y). K(x,y * K(z,z * u)) != w | K(x,K(z,u) * y) = w. K(x,(T(y,z) / z) * K(u,w)) != v5 | K(x,K(u,w) * (z \ y)) = v5. K(K(x,y),z * u) = K(x,K(y,u * z)). K(x,K(y,(z * u) * w)) = K(x,K(y,(u * w) * R(z,u,w))). K(x,K(y,(z * u) * R(w,z,u))) = K(x,K(y,(w * z) * u)). K(x,K(y,z * u)) != w | K(y,K(x,u * z)) = w. K(x,K(y,z * u)) != w | K(u * z,K(x,y)) = w. K(x,K(y,z * u)) * w = w * K(x,K(y,u * 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,K(y,z) * u) = K(x,u * K(z,y)). K(x,(y \ z) * K(y,u)) = K(x,T(y,u) \ z). K(x,K(y \ z,y) * (u * z)) = K(x,u * ((y \ z) * y)). K(x,K(y,z) * (u \ y)) = K(x,u \ T(y,z)). K(x,y * K(z,u)) != w | K(x,K(u,z) * y) = w. K(x,y * K(z,u * K(w,v5))) != v6 | K(x,K(z,K(w,v5) * u) * y) = v6. x != K(y,z * K(u \ w,u)) | x = K(y,z * K(w,u)). K(x,K(y,y \ z) * u) = K(x,u * K(z,y)). K(x,K(y,L(z,u,w)) * (w * (u * z))) = K(x,(w * u) * T(L(z,u,w),y)). K(x,K(y,z) * (u / y)) = K(x,u / T(y,z)). K(x,K(y,z) * (u * (y * z))) = K(x,u * (z * y)). K(x,y) = K(x,K(z,K(u,w)) \ y). K(x,K(y,K(z,u)) \ w) = K(x,w). 1 / K(x,y) = K(K(z,K(u,w)) * y,x). K(K(x,K(y,z)) * u,w) = 1 / K(w,u). K(x,y * T(z,K(u,w))) = K(x,y * z). K(x,T(y,K(z,u)) / w) = K(x,y / w). K(x,K(y,T(z,u)) * w) = K(x,K(y,z) * w). K(x,y * T(z,T(u,w))) = K(x,y * T(z,u)). K(x,y * (K(z,u) * w)) = K(x,y * (w * K(z,u))). K(x,y * (z * (u * K(z,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 * (K(z,u) * (w \ 1))) = K(x,y * (w \ K(z,u))). x != K(y,z * (u * K(w \ v5,w))) | x = K(y,z * (u * K(v5,w))). K(x,y * (K(z \ u,z) * w)) = K(x,y * (w * K(u,z))). x != K(y,z * (u * ((w \ v5) * w))) | x = K(y,z * (u * T(v5,w))). K(x,y * (((z \ u) * z) * K(w,v5))) = K(x,y * (K(w,v5) * T(u,z))). x != K(y,K(z,(u * w) \ v5)) | x = K(z,K(w \ (u \ v5),L(y,w,u))). 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))). x != K(y,K(z \ u,w)) | x = K(y,K(u / z,w)). K(x,K(y,z / (u * w))) = K(x,K((u \ z) / w,L(y,w,u))). K(x,K((y \ z) / u,L(w,u,y))) = K(x,K(w,z / (y * u))). K(x,K(T(y,z) / u,L(w,u,z))) = K(x,K(w,(y * z) / (z * u))). K(x,K(y,z)) * T(x,u) = T(T(x,K(y,z)),u). x != T(y \ z,T(u,y)) | x = (y \ z) * K(z / y,u). T(K(x,y) \ z,u) = (K(x,y) \ z) * K(z / K(x,y),u). (K(x,y) \ z) * K(z / K(x,y),u) = T(K(x,y) \ z,u). x != T(y * K(z,u),T(z \ y,K(z,u))) | x = T((y / z) * T(z,u),y / z). T(x * K(y,z),y \ x) = T((x / y) * T(y,z),x / y). T((x / y) * T(y,z),x / y) = T(x * K(y,z),y \ x). T(x,T(y,K(z,u))) != w | T(x,y) = w. T(x,y) * K(z,u) = (x * K(z,u)) * K(x,y). (x * K(y,z)) * K(x,u) = T(x,u) * K(y,z). T(x,K(y,z) / u) != w | T(x,u \ K(y,z)) = w. T(x,y * (z * K(y,u))) = T(x,T(y,u) * z). T(x,T(y / T(z,u),z)) = T(x,T(z,u) \ y). x != K(y / z,u) | x = K(y / L(z,w,z),u). K(T(x / y,K(z,u)),w) = K(x / L(y,v5,y),w). K((x * y) \ ((x * z) * y),u) = K(L(z * K(x,z),x,y),T(u,x * y)). K(L(x * K(y,x),y,z),T(u,y * z)) = K((y * z) \ ((y * x) * 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,K(y,z)) * x = T(x,K(z,T(y,u))). T(x,K(y,T(z,u))) = K(x,K(z,y)) * x. 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)) * K(x,z * T(y,u)) = K(x,T(y,u) * z). K(x,y * T(z,u)) * K(x,K(z,y)) = K(x,T(z,u) * y). x * (T(x,K(y,z)) \ u) = (u / T(x,K(y,z))) * x. (x / T(y,K(z,u))) * y = y * (T(y,K(z,u)) \ x). T(x,K(T(y,z),u)) = T(x,K(y,u)). K(T(x,y) * z,u) = K(z * T(x,y),T(u,x)). K(x * T(y,z),T(u,y)) = K(T(y,z) * x,u). K(x,y * T(z,u)) = K(x,T(T(z,u) * y,z)). K(x,T(T(y,z) * u,y)) = K(x,u * T(y,z)). K(x,y / T(z,u)) = K(x,T(T(z,u) \ y,z)). K(x,T(T(y,z) \ u,y)) = K(x,u / T(y,z)). K(x,T(y,z) / u) = K(x,T(u \ T(y,z),y)). K(x,T(y \ T(z,u),z)) = K(x,T(z,u) / y). T(K(x,y),T(z,u)) = K(x,T(y,z)). x != K(y \ z,T(u,z)) | x = K(z / y,u). K(x \ y,T(z,T(y,u))) = K(y / x,z). x != K(y,T(T(z * u,w),u)) | x = K(y,T(u * z,w)). K(x,T(T(y * T(z,u),w),z)) = K(x,T(T(z,u) * y,w)). K(x,T(y \ T(z,u),z)) != w | K(x,T(z,u) / y) = w. K(x \ T(y,z),T(u,y)) != w | K(T(y,z) / x,u) = w. K(T(x,y) \ z,T(u,x)) != w | K(z / T(x,y),u) = w. K(x / T(y,z),T(u,y)) != w | K(T(y,z) \ x,u) = w. x != T(y,z) | x = K(y,z) * y. T(x,y * K(z,K(u,w))) = K(x,y) * x. K(x,T(K(y,K(z,u)) * w,y / K(v5,u))) = K(x,((y / K(v5,u)) * w) / ((y / K(v5,u)) * K(y,K(z,u)))). K(x,((y / K(z,u)) * w) / ((y / K(z,u)) * K(y,K(v5,u)))) = K(x,T(K(y,K(v5,u)) * w,y / K(z,u))). T(x,K(y,T(z,u))) = T(x,K(z,y)). 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 * (z * K(u,K(w,v5)))) = K(x,y * z). K(x,K(y,T(z,u)) \ w) = K(x,K(y,z) \ w). T(x,K(y,z)) * K(z,T(y,u)) != w | K(z,T(y,u)) * x = w. T(K(x,y) * z,u) * K(y,T(x,w)) = K(y,T(x,w)) * T(z * K(x,y),u). (x * (x * K(y,T(z,x)))) / x = T(K(y,z) * x,T(x,u)). T(K(x,y) * z,T(z,u)) = (z * (z * K(x,T(y,z)))) / z. T(x,K(y,T(z,u))) != w | T(x,K(y,z)) = w. 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(x,T(y,z \ u)) != w | K(x,T(y,u / z)) = w. K(x,K(y,z) * (u / z)) != w | K(x,u / T(z,y)) = w. K(L((x \ y) / K(z,u),K(z,u),x),w) != v5 | K((x * K(z,u)) \ y,w) = v5. K(x,T(y,z * u)) != w | K(x,T(y,u * z)) = w. K((T(x,y) \ z) * K(x,y),u) != w | K(x \ z,u) = w. T(x,T(y,T(z,u))) != w | T(x,T(y,z)) = w. T(x,K(y,z) * (u * y)) != w | T(x,u * T(y,z)) = w. T(x,y * K(z,u)) != w | T(x,K(u,z) \ y) = w. T(x,T(y,z * u)) != w | T(x,T(y,u * z)) = w. K((K(x,y) * z) \ 1,u) = K((x \ z) \ (T(x,y) \ 1),u). K((x \ y) \ (T(x,z) \ 1),u) = K((K(x,z) * y) \ 1,u). (x * y) / (K(z \ (u \ 1),x) * y) = T(x,(u * z) \ 1). K((K(x \ y,x) * z) \ 1,u) = K((x \ z) \ ((y / (y / x)) \ 1),u). K((x \ y) \ ((z / (z / x)) \ 1),u) = K((K(x \ z,x) * y) \ 1,u). K((a(x,y,y \ 1) * (z \ 1)) \ 1,u) = K(a(x,y,y \ 1) \ z,u). K((x \ 1) / (y / (y / z)),u) = K(x \ (K(z,z \ y) * (z \ 1)),u). K(x \ (K(y,y \ z) * (y \ 1)),u) = K((x \ 1) / (z / (z / y)),u). x != (y \ z) * K(u,z) | x = (K(z,u) * y) \ z. x \ (y * K(z,y)) = (K(y,z) * x) \ y. (K(x,y) * z) \ x = z \ (x * K(y,x)). K((x \ y) * K(z,y),u) = K(x \ T(y,z),u). L(T(x,y),z,u) * (K(y,L(x,z,u)) / w) = L(x,z,u) * (1 / w). x != K((y \ z) \ u,z) | x = K((z / y) \ u,z). K(x \ (y * z),x) = K((x / y) \ z,x). K((x / y) \ z,x) = K(x \ (y * z),x). (T(T(x,y),x \ z) * u) \ T((x \ z) \ z,y) = (T(x,y) * u) \ T(x,y). (T(T(x,y),x \ z) * u) \ T((x \ z) \ z,y) = (((x \ z) \ z) * u) \ ((x \ z) \ z). 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,K(u,w))) != v5 | K(x,y / z) = v5. 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,K(y,L(z,u,w))) = K(x,K(z,(w * u) / (w * (u / y)))). K(x,K(y,(z * u) / (z * (u / w)))) = K(x,K(w,L(y,u,z))). T(x,K(y,z) * u) != w | T(x,u * K(z,y)) = w. 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,K(y,z)) * (u * K(x,y)) != u * w | K(x,T(y,z)) = w. K(x,y * K(z,T(u,w))) != v5 | K(x,y * K(z,u)) = v5. K(x,y * K(z,T(u,w))) = K(x,y * K(z,u)). x != (y / T(z,u)) * z | x = (y * z) / T(z,u). x * (T(x,K(y,z)) \ u) = (u * x) / T(x,K(y,z)). (x * y) / T(y,K(z,u)) = y * (T(y,K(z,u)) \ x). 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,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))). x \ T(y,K(z,u)) = T(y / T(x,K(z,u)),x * K(u,z)). T(x / T(y,K(z,u)),y * K(u,z)) = y \ T(x,K(z,u)). T(x / T(y,K(z,u)),y / K(z,u)) = y \ T(x,K(z,u)). T((x / y) * K(y,K(z,u)),y * K(u,z)) = y \ T(x,K(z,u)). T(x * (T(x,K(y,z)) \ u),x / K(y,z)) = x \ T(u * x,K(y,z)). T(K(x,K(y,z)) * u,x / K(y,z)) = x \ T(u * x,K(y,z)). K(x,((y / K(z,u)) * w) / ((y / K(z,u)) * K(y,K(z,u)))) = K(x,y \ T(w * y,K(z,u))). x != K(y,z \ T(u,K(w,v5))) | x = K(y,z \ u). K(x,((y / K(z,u)) * w) / ((y / K(z,u)) * K(y,K(z,u)))) = K(x,y \ (w * y)). K(x,((y / K(z,u)) * w) / ((y / K(z,u)) * K(y,K(z,u)))) = K(x,T(w,y)). K(x,((y / K(z,u)) * w) / (K(z,u) \ y)) = K(x,T(w,y)). x != K(y,z / (K(u,w) \ v5)) | x = K(y,z / (v5 / K(u,w))). K(x,T(y,z)) = K(x,((z / K(u,w)) * y) / (z / K(u,w))). K(x,((y / K(z,u)) * w) / (y / K(z,u))) = K(x,T(w,y)). K(x,T(y,z / K(u,w))) = K(x,T(y,z)). K(x,T(y,K(z,u) / w)) = K(x,T(y,w)). 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)). x * K(x,T(y,z)) = T(x,T(y,z / K(u,w))). T(x,T(y,z / K(u,w))) = x * K(x,T(y,z)). K(x,T(L(y,z,u),w * K(v5,v6))) = K(x,L(T(y,w),z,u)). K(x,T(y,z \ T(u,w))) = K(x,T(y,z \ u)). K(x,T(y,z / (u / w))) = K(x,T(y,z / (w \ u))). K(x,T(y,K(z,u) * w)) = K(x,T(y,w)). K(x,T(y,z)) * (z * K(u,w)) = (z * K(u,w)) * K(x,y). T(x * K(y,T(x,z)),y) = T(x,K(y,z * K(u,w))). K(x \ (y * K(z,u)),T(w,y)) != v5 | K((y * K(z,u)) / x,w) = v5. K(x \ y,T(z,x * K(u,w))) != v5 | K(y / x,z) = v5. K(x,y) * K(x,K(y,z / (u / w))) = K(x,T(y,z / (w \ u))). K(x,y) * z != K(x,T(y,u)) | z = K(x,K(y,u)). K(x,K(y,z / (u / w))) = K(x,K(y,z / (w \ u))). K(x,K(y,z / ((u * w) / u))) = K(x,K(y,z / w)). K(x,K(y,z / (u / (u / w)))) = K(x,K(y,z / w)). L(K(x,K(y,z / (u / w))),v5,v6) = K(y,K(z / (w \ u),L(x,v5,v6))). T(x,T(y,z / K(u,w))) = T(x,T(y,z)). T(x,T(y,z)) = T(x,T(y,z * K(u,w))). T(x,T(y,z * K(u,w))) = T(x,T(y,z)). (x \ y) / T(y / x,T(x,z)) = K(x,K(y,z / K(u,w))). K(x,K(y,z / K(u,w))) = (x \ y) / T(y / x,T(x,z)). x != (y \ z) / T(z / y,T(y,u)) | x = K(y,K(z,u)). 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)). x != K(y,K(z,u / w)) | x = K(y,K(z,w \ u)). K(x,K(y,z)) = K(x,K(y,K(u,w) \ z)). K(x,K(y,K(z,u) \ w)) = K(x,K(y,w)). K(x,K(y,z)) = K(x,K(y,z * K(u,w))). K(x,K(y,z * K(u,w))) = K(x,K(y,z)). K(x,K(y,z * u)) = 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,T(z,u) \ w)) = K(x,K(y,z \ w)). K(x,K(y,K(z,u) / w)) = K(x,K(w,y)). K(x,K(y,L(K(z,u) / w,v5,v6))) = K(x,K(w,L(y,v5,v6))). K(x,K(y,z)) = 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(K(y,z) * u,w)) = K(x,K(u,w)). 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(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))). 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,K(z,u),w),K(z,u)),L(v5,K(z,u) * w,v6))) = K(x,K(v5,(((K(z,u) * y) * w) * v6) / (v6 * (K(z,u) * w)))). K(x,K(y,K(z,u) * w)) = K(x,K(y,w)). K(x,K(y,z \ T(u,w))) = K(x,K(y,z \ u)). K(x,K(y,T(z,u) * w)) = K(x,K(y,z * 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) * w)) = K(x,K(y,(u \ z) * w)). K(x,K(y,z * (u * K(w,v5)))) = K(x,K(y,z * u)). K(x,K(y,z * (u \ w))) = K(x,K(y,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,z)) * (z * K(u,w)) = T(z * K(u,w),K(x,y)). 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,K(z,u) * w)) = K(w,K(x,y)). K(x,K(y,z * u)) = K(x,K(y,z * (K(w,v5) * u))). K(x,K(y,z * (K(u,w) * v5))) = K(x,K(y,z * v5)). K(x,K(y,z * u)) = K(x,K(y,((w * z) / w) * u)). K(x,K(y,((z * u) / z) * w)) = K(x,K(y,u * w)). K(x,K(y,(T(z,u) * w) * v5)) = K(x,K(y,(z * w) * v5)). x != K(y,K(z,u * w)) | x = K(y,K(z,w * u)). K(x,K(y,(z * K(u,w)) * v5)) = K(x,K(y,v5 * z)). K(x,K(y,(T(z,u) / w) * v5)) = K(x,K(y,(z / w) * v5)). K(x,K(y,((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,(z / u) * w)) = K(x,K(y,((v5 / (v5 / z)) / u) * w)). K(x,K(y,((z / (z / u)) / w) * v5)) = K(x,K(y,(u / w) * v5)). K(x,K(y,z * ((u / (u / w)) / v5))) = K(x,K(y,(w / v5) * z)). K(x,K(y,z * ((u / w) / v5))) = K(x,K(y,((w \ u) / v5) * z)). K(x,K(y,((z \ u) / w) * v5)) = K(x,K(y,v5 * ((u / z) / w))). K(x,K(y,(z / u) * w)) != v5 | K(x,K(y,((v6 / (v6 / z)) / u) * w)) = v5. K(x,K(y,(z \ T(u,w)) * v5)) != v6 | K(x,K(y,v5 * (z \ u))) = v6. 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,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,w / (u * z))). x != K(y,K(z,u / w)) | x = K(y,K(z,w / u)). K(x,K(y,(z * u) / w)) = K(x,K(y,(u * z) / w)). K(x,K(y,z / (u * w))) != v5 | K(x,K(y,z / (w * u))) = 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)) / (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. 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(y,((z \ u) * (w * z)) / T(w * u,a(w,z,z \ u)))) = a(y,z,K(x,K(w,u / z))). 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,y) * ((1 / y) * K(z,u)) = ((1 / y) * K(z,u)) * K(x,y). K(x,y) / (K(z,u) * y) = ((1 / y) * K(u,z)) * K(x,y). ((1 / x) * K(y,z)) * K(u,x) = K(u,x) / (K(z,y) * x). K(x,T(y,z)) * (K(u,w) / z) = (K(u,w) / z) * K(x,y). 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). x != ((1 / y) * K(z,u)) * K(w,y) | x = K(w,y) / (K(u,z) * y). (K(x,y) / y) * K(z,u) = K(x,y) / (K(u,z) * y). K(x,y) / (K(z,u) * y) = (K(x,y) / y) * K(u,z). K(x,L(K(y,z),K(u,w) / w,v5)) * K(K(y,z),x) = a(v5,K(u,w) / (K(z,y) * w),K(K(y,z),x)). x != K(y,K(T(z,u),w)) | x = K(y,K(z,w)). K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(R(w,K(z,u),v5),L(y,K(z,u) * v5,v6))). K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(w,L(L(y,K(z,u) * v5,v6),K(z,u),v5))). x != K(y,K(z / 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)) * K(x,z * ((u \ y) * u)) = K(x,((u \ y) * u) * z). x != K(y,K(z,(1 / u) * w)) | x = K(y,K(z,w / u)). K(x,K(y,(1 / z) * u)) = K(x,K(y,(K(w,v5) * u) / z)). K(x,K(y,(K(z,u) * w) / v5)) = K(x,K(y,(1 / v5) * w)). K(x,K(y,z * (u * w))) = K(x,K(y,z * (T(u,v5) * w))). K(x,K(y,z * (T(u,w) * v5))) = K(x,K(y,z * (u * v5))). K(x,K(y,(K(z,u) * w) / v5)) = K(x,K(y,w / v5)). K(x,K(y,z / (K(u,w) * v5))) = K(x,K(y,v5 / z)). K(x,K(y,(z * T(u,w)) / v5)) = K(x,K(y,(z * u) / v5)). K(x,K(y,z / (T(u,w) * v5))) = K(x,K(y,(v5 * u) / z)). K(x,K(y,z / ((u \ w) * v5))) = K(x,K(y,(v5 * (w / u)) / z)). K(x,K(y,(z * (u / w)) / v5)) = K(x,K(y,v5 / ((w \ u) * z))). K(x,K(y,z / ((K(u,w) * v5) * v6))) = K(x,K(y,(v5 * v6) / z)). K(x,K(y,z / u)) = K(x,K(y,(u * K(w,v5)) / z)). K(x,K(y,(z * K(u,w)) / v5)) = K(x,K(y,v5 / z)). K(x,K(y,z / u)) * (w * K(x,y)) = w * K(x,T(y,(u * K(v5,v6)) / z)). K(x,T(y,z / u)) = K(x,T(y,(u * K(w,v5)) / z)). K(x,T(y,(z * K(u,w)) / v5)) = K(x,T(y,v5 / z)). K(x,T(y,(z / T(u,w)) / v5)) = K(x,T(y,v5 / (z / u))). K(x,T(y,z / (u / 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. K(x,K(y,z / ((K(u,w) * v5) * v6))) = K(x,K(y,z / (v5 * v6))). x != K(y,K(z,u / (w * v5))) | x = K(y,K(z,u / (v5 * w))). K(x,K(y,z / (u * w))) = K(x,K(y,z / (w * (K(v5,v6) * u)))). K(x,K(y,z / (u * (K(w,v5) * v6)))) = K(x,K(y,z / (v6 * u))). K(x,K(y,z / (u * (K(w,v5) * v6)))) = K(x,K(y,z / (u * v6))). K(x,K(y,L(z,K(u,w) / w,v5))) * K(K(z,y),x) = a(v5,K(u,w) / (K(y,z) * w),K(K(z,y),x)). x != K(y,K(z,L(u,w,v5))) | x = K(y,K(u,L(z,w,v5))). K(x,K(y,L(K(z,u) / w,v5,v6))) = K(x,K(y,L(w,v5,v6))). K(L(x,y,z),T(T(u,y),y * z)) = K((z * (x * y)) / (z * y),u). K((x * y) \ z,T(u,y * x)) = K(z / (x * y),u). K(x,T(y,z * u)) = K(x,T(y,(u * z) * K(w,v5))). K(x,T(y,(z * u) * K(w,v5))) = K(x,T(y,u * z)). K(x,T(y,z / (1 / u))) != w | K(x,T(y,u * z)) = w. T(x,y * K(z,u)) != w | T(x,y * K(u,z)) = w. K(K(x,K(y,z)) * u,w) = K(u,w). K(K(x,K(y,z)) * u,w) != v5 | K(u,w) = v5. K(K(x,T(y,z)) * u,w) != v5 | K(K(x,y) * u,w) = v5. K(x * K(y,K(z,u)),w) != v5 | K(x,w) = v5. K((x * K(y,z)) \ u,w) != v5 | K((K(y,z) * x) \ u,w) = v5. K((K(x,y) * z) \ u,w) != v5 | K((z * K(x,y)) \ u,w) = v5. K(x / T(y,K(z,u)),w) != v5 | K(x / y,w) = v5. K(K(x,y) * z,u) = K(K(x,T(y,w)) * z,u). K(K(x,T(y,z)) * u,w) = K(K(x,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)). 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))). 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)). x != K(y,K(z * K(u,w),v5)) | x = K(y,K(z,v5)). K(x,K(y,z)) = K(x,K(y,L(z,K(u,w),v5))). K(x,K(y,L(z,K(u,w),v5))) = K(x,K(y,z)). x != K(y,K(z,L(L(u,K(w,v5) * v6,v7),K(w,v5),v6))) | x = K(y,K(u,(((K(w,v5) * z) * v6) * v7) / (v7 * (K(w,v5) * v6)))). K(x,K(y,L(z,K(u,w) * v5,v6))) = K(x,K(z,(((K(u,w) * y) * v5) * v6) / (v6 * (K(u,w) * v5)))). K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(w,L(y,K(z,u) * v5,v6))). x != K(y,K(z,u / (w * (K(v5,v6) * v7)))) | x = K(y,K(z,u / (w * v7))). K(x,K(y,L(z,K(u,w) * v5,v6))) = K(x,K(z,(((K(u,w) * y) * v5) * v6) / (v6 * v5))). K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * v5))) = K(x,K(w,L(y,K(z,u) * v5,v6))). 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,K(u,K(w,v5))) = a(x,z \ y,K(u,K(w,v5))). a(x,y * (z / y),K(u,K(w,v5))) = a(x,z,K(u,K(w,v5))). 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(y * z,z / u)) = K(x,K((1 / y) / z,L(z / u,u,y))). 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)) * K(y / x,(y / x) \ z) = K(x \ y,z / (y / x)). 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)). K(x,K(y,z / y)) * K(y / x,(x / y) * z) = K(x \ y,z * (x / y)). K(x,K(y,z * (u * w))) != v5 | K(x,K(y,z * (w * u))) = v5. K(x,K(y,z * (u * (w * (v5 / w))))) != v6 | K(x,K(y,z * (u * v5))) = v6. K(x,K(y,z * u)) = K(x,K(y,u * T(z,w))). K(x,K(y,z * T(u,w))) = K(x,K(y,u * z)). 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))). x != a(y,z,K(u,K(w,v5))) | x = a(w,z,K(u,K(v5,y))). a(x,y / z,K(u,K(w,y))) = a(w,1 / z,K(u,K(y,x))). 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,K(z,u) * w)) != v5 | K(x,K(y,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 | K(x,K(y,z)) = v5. K(x,K(y,z / (u * (K(w,v5) * v6)))) != v7 | K(x,K(y,z / (u * v6))) = v7. K(x,K(y,z / (u * (w \ v5)))) != v6 | K(x,K(y,z / (u * (v5 / w)))) = v6. T(x,K(y,z \ u)) != w | T(x,K(y,u / z)) = w. T(x,K(y,z / u)) != w | T(x,K(y,u \ z)) = w. T(x,K(y,z * u)) != w | T(x,K(y,u * z)) = w. K(x,K(y,z * (T(u,w) * v5))) = K(x,K(y,(u * v5) * z)). K(x,K(y,(z * u) / (z * (u * w)))) = K(x,K(y,L(w,u,z))). K(x,y * (z / u)) * K(x,K(y,z \ u)) = K(x,(z / u) * y). K(x,K(y,z) * u) != w | K(x,u * K(z,y)) = w. K(x,K(y \ 1,z) * u) != w | K(x,u * K(y,z)) = w. K(x,K(y,z \ 1) * u) != w | K(x,u * K(z,y)) = w. K(x,y * K(z,u)) = K(x,K(z,T(u,w)) * y). K(x,K(y,T(z,u)) * w) = K(x,w * K(y,z)). K(x,y * K(z,u / w)) != v5 | K(x,y * K(z,w \ u)) = v5. K(x,K(y,T(z,u)) * w) != v5 | K(x,w * K(y,z)) = v5. K(x,y) = K(x * K(z,K(u,w)),y). K(x * K(y,K(z,u)),w) = K(x,w). K(x * K(y,z),x \ u) = K(x * K(y,z),u / x). K(x * K(y,z),u / x) = K(x * K(y,z),x \ u). K(x,T(x \ y,z)) = K(x * K(y,z),x \ y). K(x * K(y,z),x \ y) = K(x,T(x \ y,z)). x != K(y * K(z,u),w) | x = K(K(u,z) * y,w). K(K(x,y) * z,u) = K(K(y,x) * z,u). x != K(K(y \ z,y) * u,w) | x = K(K(z,y) * u,w). K(x * K(y \ z,y),u) = K(K(z,y) * x,u). K(K(x,x \ y) * (z * y),u) = K(z * (x * (y / x)),u). K(((x \ y) * x) \ z,u) = K((y \ z) * K(x,x \ y),u). K((x \ y) * K(z,z \ x),u) = K(((z \ x) * z) \ y,u). K(K(x,y) * z,u) != w | K(z * K(y,x),u) = w. K(K(x,y) * z,u) != w | K(K(y,x) * z,u) = w. K(K(x * y,x) * z,u) = K(K(x,y) * z,u). K(K(x * y,x) * z,u) != w | K(K(x,y) * z,u) = 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)). 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)). x != K(y,T(z,u / w)) | x = K(y,T(z,u * (w \ 1))). K(x,T(y,z \ u)) = K(x,T(y,u * (z \ 1))). K(x,T(y,z * (u \ 1))) = K(x,T(y,u \ z)). K(x / (y / z),T(u,z \ y)) != w | K((y / z) \ x,u) = w. x \ (y * ((y \ x) * K((z / y) \ (y \ x),u))) = K(((y \ x) * y) / z,T(u,x / y)). x \ (x * K((y * (z / y)) \ x,u)) = K(((y \ x) * y) / z,T(u,x / y)). K(((x \ y) * x) / z,T(u,y / x)) = y \ (y * K((x * (z / x)) \ y,u)). K(((x \ y) * x) / z,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. T(x,K(y,z) * (u * z)) != w | T(x,u * T(z,y)) = w. T(x,K(y,z \ u) * (w * (z \ T(u,y)))) != v5 | T(x,w * T(z \ T(u,y),y)) = v5. T(x,y * K(z,K(u,w))) != v5 | T(x,y) = v5. T(x,y * (z * K(u,w))) != v5 | T(x,y * (K(u,w) * z)) = v5. T(x,K(y,T(z,u)) * w) != v5 | T(x,K(y,z) * w) = v5. T(x,K(y,z / u) * w) != v5 | T(x,K(y,u \ z) * w) = v5. T(x,K(y * z,u) * w) != v5 | T(x,K(z * y,u) * w) = v5. T(x,K(T(y,z),u) * w) != v5 | T(x,K(u,y) * w) = v5. T(x,K(y,T(z,u)) * w) != v5 | T(x,K(z,y) * w) = v5. T(x,K(y,z) * u) = T(x,u * K(z,T(y,w))). T(x,y * K(z,T(u,w))) = T(x,K(u,z) * y). T(x,K(y,z) * u) = T(x,K(z,T(y,w)) * u). T(x,K(y,T(z,u)) * w) = T(x,K(z,y) * w). T(x,y * K(z,T(u,w))) != v5 | T(x,K(u,z) * y) = v5. T(x,K(y * z,u) * w) = T(x,K(z * y,u) * w). K(x,K(y,z)) * K(y / x,(x / y) * z) = K(x \ y,z * (x / y)). K(x,K(y,z)) * K(z / x,(x / z) * y) = K(x \ z,y * (x / z)). K(x,y * (K(z,u) * w)) != v5 | K(x,y * (w * K(z,u))) = v5. K(x,K(y,(L(z / u,u,1 / u) * w) * v5)) = K(x,K(y,((u \ (u * ((1 / u) * z))) * w) * v5)). K(x,K(y,((z \ (z * ((1 / z) * u))) * w) * v5)) = K(x,K(y,(L(u / z,z,1 / z) * w) * v5)). K(x,K(y,(((1 / z) * u) * w) * v5)) = K(x,K(y,(L(u / z,z,1 / z) * w) * v5)). K(x,K(y,(L(z / u,u,1 / u) * w) * v5)) = K(x,K(y,(((1 / u) * z) * w) * v5)). x != K(y,K(z,(u * w) * v5)) | x = K(y,K(z,(w * v5) * R(u,w,v5))). K(x,K(y,(((1 / z) * u) * w) * v5)) = K(x,K(y,(w * v5) * R(L(u / z,z,1 / 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,z)) * K(z / x,(z / x) \ y) = K(x \ z,y / (z / x)). K(x,K(y,z)) * K(z / x,y / (z / x)) = K(x \ z,y / (z / x)). K((K(x,y) * z) * u,w) = K(u * (K(x,y) * z),T(w,z)). K(x * (K(y,z) * u),T(w,u)) = K((K(y,z) * u) * x,w). x != K(y,T(z,u)) | x = K(y,(u * z) / u). K(x,T(y,K(z,u) * w)) = K(x,(w * y) / w). (K(x,y) * z) * K(u,T(w,z)) != v5 | K(u,w) * (K(x,y) * z) = v5. x != K(y,K(z \ 1,u) * w) | x = K(y,K(z,u) * w). K(x,y * (z * K(u \ 1,w))) = K(x,K(u,L(w,z,y)) * (y * z)). K(x,K(y,L(z,u,w)) * (w * u)) = K(x,w * (u * K(y \ 1,z))). T(K(x,y) * z,T(z,u)) = (z * (K(x,y) * z)) / z. x != (y * (K(z,u) * y)) / y | x = y * K(z,u). T(K(x,y) * z,T(z,u)) = z * K(x,y). T(x,T(y,z) \ u) = T(x,(y \ u) * K(y,z)). T(x,(y \ z) * K(y,u)) = T(x,T(y,u) \ z). T(x,K(y,z) * (u / y)) = T(x,u / T(y,z)). (x * T(y,z)) * K(x * y,u) = T(x * y,u) * K(y,z). K(x,K(y,z * u)) * K(x,y * (T(z,w) * u)) = K(x,(T(z,w) * u) * y). 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,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)). K(x,T(y,K(z,u) * w)) != v5 | K(x,T(y,w)) = v5. K(x,T(y,K(z,u) \ w)) != v5 | K(x,T(y,w)) = v5. K(x,T(y,T(z,u) \ w)) != v5 | K(x,T(y,z \ w)) = v5. K(x,T(y,z / u)) != w | K(x,T(y,u \ z)) = w. K(x,T(y,z * (K(u,w) * v5))) != v6 | K(x,T(y,z * v5)) = v6. T(x,K(y,z)) = T(x,K(y,z * K(u,w))). T(x,K(y,z * K(u,w))) = T(x,K(y,z)). T(x,K(y,K(z,u) * w)) = T(x,K(y,w)). x != T(y * z,K(z,y)) | x = y * z. T((x * K(y,z)) * u,K(u,x)) = (x * K(y,z)) * u. T(x,K(y,z * (u \ w))) = T(x,K(y,z * (w / u))). T(x,K(y,z * (u / w))) = T(x,K(y,z * (w \ u))). T(x,K(y,z \ (u / w))) = T(x,K(y,z \ (w \ u))). T(x,K(K(y,z) * u,w)) = T(x,K(w,u)). T(x,K(y,z * u)) = T(x,K(y,z * (K(w,v5) * u))). T(x,K(y,z * (K(u,w) * v5))) = T(x,K(y,z * v5)). x \ T(y * T(x,K(z,u)),K(z,K(w,v5) * u)) = T(y,K(K(w,v5) * u,z) * x). (x * T(y,K(x,z))) \ (T(x,K(u,w) * z) * y) = K(x,K(w,u) * z). x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(K(w,v5) * u,z) * x). T(x,K(K(y,z) * u,w) * v5) = v5 \ T(x * T(v5,K(w,u)),K(w,u)). T(x,K(K(y,z) * u,w) * v5) = T(x,K(u,w) * v5). T(x,K(K(y,z) * u,w) * v5) != v6 | T(x,K(u,w) * v5) = v6. T(x,K(y,z) * u) = T(x,K(z,K(w,v5) * y) * u). T(x,K(y,K(z,u) * w) * v5) = T(x,K(w,y) * v5). T(x,K(y,K(z,u) * (w * v5)) * v6) != v7 | T(x,K(v5 * w,y) * v6) = v7. K(x * (y * K(z,u)),w) != v5 | K(x * (K(z,u) * y),w) = v5. K(x * (y * K(z,K(u,w))),v5) != v6 | K(x * y,v5) = v6. K(x * K(y,z / u),w) != v5 | K(x * K(y,u \ z),w) = v5. K(x * (T(y,K(z,u)) \ w),v5) != v6 | K(x * (y \ w),v5) = v6. K(x,x * y) * K(x * y,T(x,z * u)) = K(x,K(y,z \ u)). K(x,K(x * y,z * u)) = K(x,K(y,z \ u)). K(x,K(y,z * u)) = K(x,K(y,z \ u)). K(x,K(y,z \ u)) = K(x,K(y,z * u)). K(x,K(y,z \ u)) = K(x,K(y,u * z)). x != K(y,K(z,u \ w)) | x = K(y,K(z,u / w)). K(x,K(y,z * u)) = K(x,K(y,z / u)). K(x,K(y,z / u)) = K(x,K(y,z * u)). K(x,K(y,z * u)) * K(x,y * (z \ u)) = K(x,(z \ u) * y). K(x,K(y,z \ u)) != w | K(x,K(y,u * z)) = w. x * y != K(z,K(u,w * v5)) * K(z,u * (w \ v5)) | K(z,(w \ v5) * u) / y = x. K(x,(y \ z) * u) / (x \ K(x,u * (y \ z))) = T(x,K(u,y * z)). x != K(y,z * u) / (y \ K(y,u * z)) | x = T(y,K(z,u)). T(x,K(y,z * u)) = T(x,K(z \ u,y)). T(x,K(y \ z,u)) = T(x,K(u,y * z)). T(x,K(y,z \ u)) = T(x,K(y,z * u)). T(x,K(y,z / u)) = T(x,K(y,u * z)). T(T(x,K(y,z * u)),(z \ u) * y) != w | T(x,y * (z \ u)) = w. T(x,K(y,z \ u)) != w | T(x,K(y,u * z)) = w. T(T(x,K(y,z * u)),y * (u / z)) = T(x,(u / z) * y). K(x,K(y,(z \ u) * w)) * K(x,y * ((u / z) * w)) = K(x,((u / z) * w) * y). T(x,T(y,z / u)) != w | T(x,T(y,u \ z)) = w. T(x,T(y,z \ u)) != w | T(x,T(y,z * u)) = w. T(x,T(y \ z,z * y)) = T(x,y \ z). T(x,T(((y \ z) \ u) \ K(y \ z,y),(z / y) \ u)) = T(x,((y \ z) \ u) \ K(y \ z,y)). T(x,T((K(y,y \ z) * u) \ (y \ z),(z / y) * u)) = T(x,(K(y,y \ z) * u) \ (y \ z)). T(x,T(y \ T(z \ u,z),(u / z) * y)) = T(x,(K(z,z \ u) * y) \ (z \ u)). ((x * (K(y,z) * u)) / x) / ((x * (u * K(y,z))) / x) = K(z,K(u,y)). ((x * (K(y,z) * u)) / x) / ((x * (u * K(y,z))) / x) != w | K(y,K(z,u)) = w. K(x,K(y,z)) = K(K(x,y) * z,T(z,u)). K(K(x,y) * z,T(z,u)) = K(x,K(y,z)). K(x * (K(y,z) * u),w) = K(x * (u * K(y,z)),w). x * (y * K(z,K(u,y * x))) = T(x * y,K(z,u)). T(x * K(y,K(z,x * u)),u) = u \ T(x * u,K(y,z)). K(x,K(y,(1 / z) * u)) != w | K(x,K(y,u / z)) = w. K(x,K(y,z * (1 / u))) != w | K(x,K(y,z / u)) = w. K(x,T(y / x,z)) = K(x,y / x) * K(y,K(z,x)). K(x,y / x) * K(y,K(z,x)) = K(x,T(y / x,z)). T(x,K(y * K(z,u),w) * v5) = T(x,K(y,w) * v5). (x * y) / (T(x,K(z,u) * w) * y) = K(K(z * K(v5,v6),u) * w,x). K(K(x * K(y,z),u) * w,v5) = (v5 * v6) / (T(v5,K(x,u) * w) * v6). T(x,K(y * (z \ u),w) * v5) = T(x,K(y * (u / z),w) * v5). T(x,K(y * (z / u),w) * v5) = T(x,K(y * (u \ z),w) * v5). K(x,y) * (K(y,T(x,z)) * u) = u * K(x,K(y,z)). K(x * y,z) = K(x * (K(u,K(w,v5)) * y),z). K(x * (K(y,K(z,u)) * w),v5) = K(x * w,v5). K(T(x,K(y,z)) * u,w) = K(x * u,w). K(x * (K(y,T(z,u)) * w),v5) = K(x * (K(y,z) * w),v5). K(x * ((y * K(z,u)) \ w),v5) = K(x * ((K(z,u) * y) \ w),v5). K(x * ((K(y,z) * u) \ w),v5) = K(x * ((u * K(y,z)) \ w),v5). K((x * K(y,z)) * u,w) = K((K(y,z) * x) * u,w). K((K(x,y) * z) * u,w) = K((z * K(x,y)) * u,w). K(x * ((K(y,T(z,u)) * w) / L(v5,v5 \ w,K(y,T(z,u)))),v6) = K(x * (K(y,z) * (w / v5)),v6). K(x * ((K(y,T(z,u)) * w) / T(v5,a(T(z,u),v5 \ w,y))),v6) = K(x * (K(y,z) * (w / v5)),v6). K(x / (K(y,T(z,u)) * w),T(v5,K(z,y) * w)) = K((K(y,T(z,u)) * w) \ x,v5). T(x,T(y,K(z,u) * w)) = T(x,T(y,w)). T(x,T(y,T((z / u) \ w,K(u,z)))) = T(x,T(y,(u \ z) \ w)). T(x,T(y,(z \ u) * w)) = T(x,T(y,T((u / z) \ w,K(z,u)))). T(x,T(y,T((z / u) \ w,K(u,z)))) = T(x,T(y,(u \ z) * w)). T(x,y \ K(z \ u,z)) = T(x,K(u,z) * (1 / y)). T(x,y * ((z \ u) * z)) = T(x,K(u,z) * (y * u)). T(x,K(y,z) * (u * y)) = T(x,u * ((z \ y) * z)). x != T(y,z * (1 / u)) | x = T(y,z / u). T(x,y \ K(z \ u,z)) = T(x,K(u,z) / y). T(x,y \ K(z,u)) = T(x,y \ K(u \ z,u)). T(x,y \ K(z \ u,z)) = T(x,y \ K(u,z)). K(K(x,T(y,z)) * u,w) != v5 | K(u * K(y,x),w) = v5. K(x \ T(y,K(z,u)),w) = K(x \ y,w). 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(z,u)),w) = K(x \ (K(z,u) * y),w). K(x \ (K(y,z) * u),w) = K(x \ (u * K(y,z)),w). K(T(x,K(y,z)) \ u,w) = K(x \ u,w). x != T(y,z) * K(z,u) | x = z \ (y * T(z,u)). K(x,K(y,z)) \ T(u,x) = x \ (u * T(x,K(y,z))). T(x,y * (z * K(u,T(w,v5)))) = T(x,K(w,L(u,z,y)) * (y * z)). T(x,K(y,L(z,u,w)) * (w * u)) = T(x,w * (u * K(z,T(y,v5)))). K(T(x,T(y,z)) * u,w) = K(T(x,y) * u,w). K(x,T(y,T(z,u)) / w) = K(x,T(y,z) / w). x != K(y,T(z,T(u,y)) / y) | x = K(z,u) * (T(z,T(u,y)) \ (y * (z / y))). K(x,T(y,z) / x) = K(y,z) * (T(y,T(z,x)) \ (x * (y / x))). K(x,y) * (T(x,T(y,z)) \ (z * (x / z))) = K(z,T(x,y) / z). K(x,T(y,z \ (u \ z)) / w) = K(x,T(y,u \ 1) / w). K(x,y) * (K(T(y,z),x) * K(z,x / z)) = K(z,T(x,y) / z). K(x,y) * (K(y,T(x,z)) * K(z,x / z)) = K(z,T(x,y) / z). x != K(y,z) * (K(z,T(y,u)) * w) | x = w * K(y,K(z,u)). K(x,T(y,z) / x) = K(x,y / x) * K(y,K(z,x)). K(x,y / x) * K(y,K(z,x)) = K(x,T(y,z) / x). x != K(y,z / y) * K(z,K(u,y)) | x = K(y,T(z / y,u)). K(x,T(y,z) / x) = K(x,T(y / x,z)). K(x,T(T(y,z) / (x * K(u,x)),u)) = K(x * K(u,x),T(y / (x * K(u,x)),z)). K(x * K(y,x),T(z / (x * K(y,x)),u)) = K(x,T(T(z,u) / (x * K(y,x)),y)). K(x \ 1,T(R(y,x,1 / x),z) / (x \ 1)) = K(x \ 1,T(y * x,z)). K(x,T(T(y / x,z),u)) = K(x,T(T(y,z) / (x * K(u,x)),u)). K(x,T(T(y,z) / (x * K(u,x)),u)) = K(x,T(T(y / x,z),u)). x != K(y,T(z / (u * K(w,y)),w)) | x = K(y,T(z / u,w)). K(x,T(T(y / x,z),u)) = K(x,T(T(y,z) / x,u)). K(x,T(T(y,z) / x,u)) = K(x,T(T(y / x,z),u)). K(x,y * T(T(z,K(u,w)),v5)) != v6 | K(x,y * T(z,v5)) = v6. K(x,y * T(z,T(u,w))) != v5 | K(x,y * T(z,u)) = v5. K(x,y * (z * K(u,w))) != v5 | K(x,y * (K(u,w) * z)) = v5. K(x,y * (K(z,u) * (w / u))) != v5 | K(x,y * (w / T(u,z))) = v5. K(x,y * T(z,u * w)) != v5 | K(x,y * T(z,w * u)) = v5. K(x,y * (K(z,u) * (w \ 1))) != v5 | K(x,y * (w \ K(z,u))) = v5. K(T(x / (y \ z),K(u,w)),v5) = K(x / L(y \ z,v6,z / y),v5). x != K(1 / L(y \ z,u,w),v5) | x = L(K(z \ y,v5),u,w). K(T(1 / (x \ y),K(z,u)),w) = L(K(y \ x,w),v5,y / x). L(K(x \ y,z),u,x / y) = K(T(1 / (y \ x),K(w,v5)),z). L(K(x,y),z,u / (u * x)) = K(T(1 / ((u * x) \ u),K(w,v5)),y). x != K(T(y,K(z,u)),w) | x = K(y,w). L(K(x,y),z,u / (u * x)) = K(1 / ((u * x) \ u),y). x != K(1 / ((y * z) \ y),u) | x = K(z,u). L(K(x,y),z,u / (u * x)) = K(x,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. K(x,K(y,z) * u) * K(w,v5) != v6 | K(w,v5) * K(x,u * K(z,y)) = v6. T(x,y * (z * (u / z))) = T(x,K(u,z) * (y * u)). T(x,K(y,z) * (u * y)) = T(x,u * (z * (y / z))). T(x,y * (z * (u / z))) != w | T(x,y * T(u,z)) = w. T(x,(y * z) * (u / (z * y))) != w | T(x,K(y,z) * T(u,z * y)) = w. T(x,K(y,z) * T(u,z * y)) = T(x,(y * z) * (u / (z * y))). T(x,(y * z) * (u / (z * y))) = T(x,K(y,z) * T(u,z * y)). x != (y * z) / (T(y,u) * z) | x = K(u,y). K(K(x * K(y,z),u) * w,v5) = K(K(x,u) * w,v5). K(K(x,y * K(z,u)) * w,v5) = K(K(y,x) * w,v5). K(K(K(x,y) * z,u) * w,v5) = K(K(z,u) * w,v5). K(x * K(y,K(z,u) * w),v5) = K(K(w,y) * x,v5). x != K(K(y,z) * u,w) | x = K(u * K(z,y),w). K(x * K(y,K(z,u) * w),v5) = K(x * K(y,w),v5). K(x * K(y,T(z,u)),w) = K(K(z,y) * x,w). K(x * K(y,K(z,u) * w),v5) != v6 | K(K(w,y) * x,v5) = v6. K(x * K(y,T(z,u)),w) != v5 | K(K(z,y) * x,w) = v5. K(x,y * T(z,u \ w)) = K(x,y * T(z,(u / w) \ 1)). K(x,y * T(z,(u / w) \ 1)) = K(x,y * T(z,u \ w)). T(x,((y \ z) * y) * u) = T(x,T(u,z) * ((y \ z) * y)). T(x,T(y,z) * ((u \ z) * u)) = T(x,((u \ z) * u) * y). T(x,T(y,z) * u) = T(x,T(u,y) * T(y,z)). T(x,T(y,z) * T(z,u)) = T(x,T(z,u) * y). 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,T(y / T(z \ 1,u),w)) = K(T(x,w),y * T(z,u)). K(x,y / T(z,u)) = K(x,y * T(1 / z,u)). K(x,y * T(1 / z,u)) = K(x,y / T(z,u)). K(x,K(y,z) * (u / y)) != w | K(x,u / T(y,z)) = w. K(x,K(y * z,u) * (w / ((y \ 1) \ z))) != v5 | K(x,w / T((y \ 1) \ z,u)) = v5. K(x / (x / y),z * ((x / y) / x)) = K(y,T(((x / y) / x) * z,x)). K(x,T(y * ((z / x) / z),z)) = K(x,T(((z / x) / z) * y,z)). K(x,T(((y / x) / y) * z,y)) = K(x,T(z * ((y / x) / y),y)). T(x,y * T(z,u)) = T(x,y * ((u \ z) * u)). T(x,y * ((z \ u) * z)) = T(x,y * T(u,z)). x != T(y,T(z,u) * T(u,w)) | x = T(y,T(u,w) * z). T(x,T(y,z) * ((u \ z) * u)) = T(x,T(z,u) * y). x / T(x,y * T(z,u)) = K(y * ((u \ z) * u),x). K(x * ((y \ z) * y),u) = u / T(u,x * T(z,y)). x != T(y,T(z,u) * ((w \ u) * w)) | x = T(y,((w \ u) * w) * z). T(x,T(y,z) * u) = T(x,((z \ y) * z) * u). T(x,((y \ z) * y) * u) = T(x,T(z,y) * u). T(x,((y * z) \ u) * (T(y,z) * z)) = T(x,T(u,y * z) * K(y,z)). (K(x,y) * z) * K(z / K(y,x),u) = T(K(y,x) \ z,u). (K(x,K(y,z)) * u) * K(u / K(x,K(y,z)),w) = T(K(x,K(y,z)) \ u,w). (K(x,K(y,z)) * u) * K(u * K(K(y,z),x),w) = T(K(x,K(y,z)) \ u,w). (K(x,K(y,z)) * u) * K(u * K(y,K(z,x)),w) = T(K(x,K(y,z)) \ u,w). (K(x,K(y,z)) * u) * K(u,w) = T(K(x,K(y,z)) \ u,w). K(x,K(y,z)) * T(u,w) = T(K(x,K(y,z)) \ u,w). K(x,K(y,z)) * T(u,w) = T(K(x,K(y,z)) * u,w). T(K(x,K(y,z)) \ u,w) != v5 | K(x,K(y,z)) \ T(u,w) = v5. K(x,K(y,z)) * T(u,w) = T(u * K(x,K(y,z)),w). T(x,y) * K(z,K(u,w)) = T(x * K(z,K(u,w)),y). K(x,K(y,z)) * K(u,T(w,v5)) = T(K(u,w) * K(x,K(y,z)),v5). K(x,T(y,z)) * K(u,K(w,v5)) = T(K(x,y) * K(u,K(w,v5)),z). T(x * K(y,K(z,u)),w) / K(y,z) = T(x,w) / T(K(y,z),u). T(x,y) * K(z,K(u,w)) = T(K(z,K(u,w)) * x,y). x != K(K(y,y \ z) * (u * z),w) | x = K(u * ((y \ z) * y),w). K(x * (y * (z / y)),u) = K(x * ((y \ z) * y),u). K(x * ((y \ z) * y),u) = K(x * (y * (z / y)),u). K(x * (y * z),u) = K(x * (z * ((z * y) / z)),u). K(x * (y * ((y * 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). (x * y) / (K(z * (u * w),x) * y) = T(x,z * (T(w,u) * u)). T(x,y * (T(z,u) * u)) = (x * w) / (K(y * (u * z),x) * w). T(x,y * (T(z,u) * u)) != w | T(x,y * (u * z)) = w. T(x,T(y,z * u) * K(z,u)) != w | T(x,((z * u) \ y) * (u * z)) = w. T(x,T(y,L((z / u) / w,w,u))) = (x * v5) / (K(y,T(x,(w * u) \ z)) * v5). x != K(K(y,z) * u,w) | x = K(u * K(y,z),w). K(K(x,y * K(z,u)) * w,v5) = K(w * K(y,x),v5). K(x * K(y,z),T(u,w)) = K((x * K(y,z)) * K(x,w),u). K((x * K(y,z)) * K(x,u),w) = K(x * K(y,z),T(w,u)). K(T(x,y) * K(z,u),w) = K(x * K(z,u),T(w,y)). K(T(x,y) * K(z,u),w) != v5 | K(K(u,z) * x,T(w,y)) = v5. K(x,K(y \ z,z) * u) != w | K(x,K(z,y) * u) = w. K(x,K(y \ (z * u),u * z) * w) != v5 | K(x,K(u * z,y) * w) = v5. K(x,y * K(z \ (u * w),w * u)) != v5 | K(x,K(w * u,z) * y) = v5. K(x,K(y,z)) * K(x,z * T(y,u)) != w | w = K(x,T(y,u) * z). K(x,K(y,z)) * K(x,z * T(y,u)) != w | K(x,T(y,u) * z) = w. K(x,T(y,z * (u \ 1))) != w | K(x,T(y,u \ z)) = w. K(x,y * K(z,u \ w)) = K(x,y * K(z,w / u)). K(x,y * K(z,u / w)) = K(x,y * K(z,w \ u)). T(x,y * T(z,T(u,w))) = T(x,y * T(z,u)). K(x,y * (T(z,u * w) / (u * T(w,K(v5,v6))))) = K(x,y * ((u * T(w,K(v5,v6))) \ z)). (x * y) \ T(z * T(x * y,K(x,u)),K(u \ x,u)) = T(z,(u * (x / u)) * y). (x * y) \ T(z * T(x * y,K(x,u)),K(x,u)) = T(z,(u * (x / u)) * y). x != (y * z) \ T(u * T(y * z,K(y,w)),K(y,w)) | x = T(u,T(y,w) * z). T(x,(y * (z / y)) * u) = T(x,T(z,y) * u). x / T(x,T(y,z) * u) = K((z * (y / z)) * u,x). K((x * (y / x)) * z,u) = u / T(u,T(y,x) * z). K((x * (y / x)) * z,u) = K(T(y,x) * z,u). K((x * y) * z,u) = K(T(y * x,x) * z,u). K(T(x * y,y) * z,u) = K((y * x) * z,u). K((x * (y / x)) * K(z,u),w) != v5 | K(K(u,z) * y,T(w,x)) = v5. x != K(T((y \ z) * u,u) * w,v5) | x = K(T((y \ z) * u,z \ y) * w,v5). K((x * (y \ z)) * u,w) = K(T((y \ z) * x,z \ y) * u,w). K(T((x \ y) * z,y \ x) * u,w) = K((z * (x \ y)) * u,w). K(x,K(y,z * (u \ w))) * K(y,(z * (w / u)) \ x) = K(y,x / (z * (w / u))). x != K(y,L(z / (z / u),w,v5)) | x = K(y,T(L(u,w,v5),z)). K(x,(y * z) / ((y / u) * z)) = K(x,T(L(u,y / u,z),y)). K(x,T(L(y,z / y,u),z)) = K(x,(z * u) / ((z / y) * u)). x != K(y,T(L(z,u / z,w),v5)) | x = T(L(K(y,z),u,w),v5). K(x,(y * z) / ((y / u) * z)) = T(L(K(x,u),y,z),y). K(x,y / (((y / z) / u) * z)) = T(L(K(x,u),y / z,z),y / z). T(L(K(x,y),z / u,u),z / u) = K(x,z / (((z / u) / y) * u)). K(x,y / (K(z,u) * w)) != v5 | K(x,y / (w * K(z,u))) = v5. K(x,y / (z * K(u,w))) = K(x,y * (z \ K(w,u))). K(x,y * (z \ K(u,w))) != v5 | K(x,y / (z * K(w,u))) = v5. T(L(K(x,y),z,u),w / v5) = T(L(K(x,y),z,u),v5 \ w). x != T(L(y,z \ u,z),z \ u) | x = u \ (z * (y * (z \ u))). T(L(K(x,y),z \ u,z),u / z) = u \ (z * (K(x,y) * (z \ u))). T(L(K(x,y),z / u,u),z / u) = z \ (u * (K(x,y) * (u \ z))). x != T(L(K(y,z),u / w,w),u / w) | x = K(y,u / (((u / w) / z) * w)). x \ (y * (K(z,u) * (y \ x))) = K(z,x / (((x / y) / u) * y)). K(x,y) = K(x,(z / x) / ((((z / x) / z) / y) * z)). K(x,(y / x) / ((((y / x) / y) / z) * y)) = K(x,z). x != K(y,(z / y) / u) | x = K(y,z / (u * y)). K(x,y) = K(x,z / (((((z / x) / z) / y) * z) * x)). K(x,y / (((((y / x) / y) / z) * y) * x)) = K(x,z). x != K(y,z / ((u * z) * y)) | x = K(y,1 / (u * y)). K(x,y) = K(x,1 / ((((z / x) / z) / y) * x)). K(x,1 / ((((y / x) / y) / z) * x)) = K(x,z). x != K(y,1 / ((z / u) * y)) | x = K(y,u / (z * y)). K(x,y) = K(x,y / (((z / x) / z) * x)). K(x,y / (((z / x) / z) * x)) = K(x,y). K(x,y / (x * ((z / x) / z))) = K(x,y). x != K(y,(z * u) / (w * u)) | x = L(K(y,z / w),z,u). K(x,y * ((z / x) / z)) = L(K(x,y / x),y,(z / x) / z). L(K(x,y / x),y,(z / x) / z) = K(x,y * ((z / x) / z)). L(K(x,y / x),y,z / (z * x)) = K(x,y * ((z / x) / z)). x != L(K(y,z),u,w / (w * y)) | x = K(y,z). K(x,y * ((z / x) / z)) = K(x,y / x). T(K(x,y) * (x * T(z,T(x,y))),T(u,x * T(z,T(x,y)))) = (z * T(x,y)) * K(z * T(x,y),u). T(K(x,y) * (x * T(z,T(x,y))),T(u,x * T(z,T(x,y)))) = T(z * T(x,y),u). T(T(x,y) * T(z,T(x,y)),T(u,x * T(z,T(x,y)))) = T(z * T(x,y),u). T(x * T(y,z),T(u,y * T(x,T(y,z)))) = T(x * T(y,z),u). T(x * T(y,z),T(u,y * T(x,y))) = T(x * T(y,z),u). T(x * T(y,z),T(u,x * y)) = T(x * T(y,z),u). K(x \ 1,T(y,z) * x) = K(x \ 1,T(y * x,z)). K(1 / x,x * T(y,z)) = K(x \ 1,T(y * x,z)). K(1 / x,x * T(y,z)) = K(1 / x,T(y * x,z)). x != K(1 / y,T(z * y,u)) | x = K(1 / y,T(z / (1 / y),u)). K(1 / x,x * T(y,z)) = K(1 / x,T(y / (1 / x),z)). K(1 / x,T(y / (1 / x),z)) = K(1 / x,x * T(y,z)). x != K(1 / (y / z),T(u,y)) | x = K(1 / (z \ y),u). K(1 / (x / y),(x / y) * T(z,x)) = K(1 / (y \ x),z * (x / y)). K(x / y,T(x,z) \ u) != w | K(y \ x,u / T(x,z)) = w. K(x,K(y * (z \ 1),u)) = K(x,K(u,z \ y)). K(x,(y * (z \ 1)) \ u) * K(x,K(u,z \ y)) = K(x,u / (y * (z \ 1))). K(x,K(y,z * u)) * K(y,(z * T(u,w)) \ x) = K(y,x / (z * T(u,w))). K(x,(y * T(z,u)) \ w) * K(x,K(w,y * z)) = K(x,w / (y * T(z,u))). K(x,(y * T(z,u \ 1)) \ w) * K(x,K(w,y * z)) = K(x,w / (y * T(z,1 / u))). T(x,K(y,z)) * K(u,w) = T(x * K(u,w),K(y,z)). T(K(x,y) * z,K(u,w)) = K(x,y) * T(z,K(u,w)). K(x,y) * T(z,K(u,w)) = T(K(x,y) * z,K(u,w)). K(x,y) * T(z,K(u,w)) = T(K(x,y) * z,K(w,u)). x != T(y,K(z,u / T(z,w))) | x = T(y,K(z,z * u)). K(x,y) * T(z,K(u,w / T(u,v5))) = T(K(x,y) * z,K(u,u * w)). T(x,(y / z) \ u) = T(x,T(z \ y,z) \ u). T(x,T(y \ z,y) \ u) = T(x,(z / y) \ u). L(x,y,((K(z,u) * (z \ w)) \ v5) * (K(z,u) * (z \ w))) = L(x,y,T(v5,T(z,u) \ w)). K(x,T(y,T(z \ u,z) \ w)) = K(x,T(y,w \ (u / z))). K(x,T(y,(z \ u) \ w)) = K(x,T(y,w \ (u / z))). K(x,T(y,z \ (u / w))) != v5 | K(x,T(y,z \ (w \ u))) = v5. T(x * T(y,x * K(z,u)),K(z,u)) = y * T(x,K(z,u)). T(x,K(y,R(z / u,u,w))) != v5 | T(x,K(y,(u * w) \ (z * w))) = v5. T(x,K(y / z,u)) != w | T(x,K(u,z \ y)) = w. T(K(x,T(y,z)) * u,w) / K(x,y) = T(K(x,y) * u,w) / T(K(x,y),z). T(K(x,T(y,z)) * u,w) * K(y,x) = T(K(x,y) * u,w) / T(K(x,y),z). T(K(x,y) * z,u) / T(K(x,y),w) = T(K(x,T(y,w)) * z,u) * K(y,x). T(K(x,y) * z,u) / K(x,T(y,w)) = T(K(x,T(y,w)) * z,u) * K(y,x). T(K(x,y) * z,u) * K(y,T(x,w)) = T(K(x,T(y,w)) * z,u) * K(y,x). T(K(x,T(y,z)) * u,w) * K(y,x) = T(K(x,y) * u,w) * K(y,T(x,z)). 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)). K(x,y) \ T(K(x,K(y,z)) * (u * K(x,y)),w) = T(K(x,y) * u,w) * K(y,T(x,z)). K(x,y) \ T(z * K(x,T(y,u)),w) = T(K(x,y) * z,w) * K(y,T(x,u)). x != y / (z * y) | x = ((z * y) \ y) * K(z * y,z \ 1). x / (y * x) = ((y * T(x,z)) \ T(x,z)) * K(y * T(x,z),y \ 1). ((x * T(y,z)) \ T(y,z)) * K(x * T(y,z),x \ 1) = y / (x * y). a(x * y,z,K(u,y)) = a(x,z,K(u,x * y)). a(x / (y * z),y,z) = a((y * z) \ x,y,z). (K(x,y) * z) * R(u,z,K(x,T(y,z))) != w | K(x,y) * (z * u) = w. L(x,y,K(z,u)) * (K(z,u) * y) = (x * y) * K(z,T(u,y)). K(x / T(y,z),u) = K((x / y) * K(y,z),u). K((x / y) * K(y,z),u) = K(x / T(y,z),u). K(x,K(y,z) \ u) = K(x,K(z,y) \ u). x != K(y * z,T(y,z \ u)) | x = K(y * z,T(y,u)). K(x * y,T(x,z * y)) = K(x * y,T(x,z)). K(x,T(y,z \ u)) != w | K(x,T(y,z * u)) = w. x != K(y,K(z / u,w)) | x = K(y,K(T(z,v5) / u,w)). K(x,K(y,z \ u)) = K(x,K(T(u,w) / z,y)). K(x,K(T(y,z) / u,w)) = K(x,K(w,u \ y)). K(x,K(y,z \ u)) * K(x,y / (u / z)) != w | K(x,(u / z) \ y) = w. 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). K(x,(K(y,z) * (u \ 1)) \ w) = K(x,(u \ K(y,z)) \ w). ((x \ y) * z) \ (x \ y) = ((y / x) * z) \ ((x \ y) * K(x,x \ y)). ((x / y) * z) \ ((y \ x) * K(y,y \ x)) = ((y \ x) * z) \ (y \ x). K(x \ y,x * z) = K((x * z) \ (z * y),x * z). K((x * y) \ (y * z),x * y) = K(x \ z,x * y). (x * K(K(y,z) * (u \ x),u)) * K(z,y) = (u \ (x * K(z,y))) * u. K((x / y) \ z,u) = K(z / (x / y),T(u,y * x)). K(x / (y / z),T(u,z * y)) = K((y / z) \ x,u). K(x,T(L(y,z,u),w / v5)) = K(x,L(T(y,v5 * w),z,u)). T(x,K(y * z,u)) = T(x,K(u,T(y,w) * z)). T(x,K(y,T(z,u) * w)) = T(x,K(z * w,y)). x != K(y,K(z,T(y,u) * w)) | x = K(y,K(z,w)). K(x,K(y,T(x,z) / u)) = K(x,K(y,u)). K(x,K(y,z * (u * z))) != w | K(x,K(y,u)) = w. K(T(x / T(y,z),y) * u,w) = K((T(y,z) \ x) * u,w). T(x,T(y,z)) \ T(T(x,K(u,w) * z),y) = K(x,K(u,w) * z). K(x \ T(y,T(z,u)),w) = K(x \ T(y,z),w). K(x / (K(y,z) * (u \ 1)),w) = K(x / (u \ K(y,z)),w). 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). K(x / y,(y / x) * T(z,y)) = K(1 / (x \ y),z * (y / x)). K(1 / (x \ y),z * (y / x)) = K(x / y,(y / x) * T(z,y)). K(x \ y,z * (x / y)) = K(y / x,(x / y) * T(z,x)). K(x / y,(y / x) * T(z,y)) = K(y \ x,z * (y / x)). K(x,y * K(z \ 1,u)) != w | K(x,y * K(z,u)) = w. K(x,y * K(z,u \ 1)) != w | K(x,y * K(u,z)) = w. K(T((x \ y) \ 1,z) \ u,T(y \ x,w)) = K((x \ y) * u,T(y \ x,w)). x != K(y,K(z,u) * w) | x = K(y,K(u,z) * w). K(x,K(y,T(z,u)) * w) = K(x,K(z,y) * w). K(x,K(y * z,u) * w) = K(x,K(z * y,u) * w). x \ T(y * T(x,K(z * u,w)),K(T(z,v5) * u,w)) = T(y,K(w,T(z,v5) * u) * x). x \ ((x * y) * (z \ T(z * L(y \ 1,y,x),K(u,w)))) = L(K(u,K(w,z * L(y \ 1,y,x))),(x * y) \ x,x * y). L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = w \ ((w * u) * (z \ T(z * L(u \ 1,u,w),K(x,y)))). K(x,L((y / z) \ u,y / z,z)) = K(x,T((u * z) / y,z \ y)). K(x,L((y / z) \ K(u,T(T(w,z),v5)),y / z,z)) = K(x,T((z * K(u,T(w,v5))) / y,z \ y)). x != K(y * z,T(y,u)) | x = K(T(y,w) * z,T(y,u)). K(x * y,T(x,z)) = K(T(x,u) * y,T(x,z * y)). K(T(x,y) * z,T(x,u * z)) = K(x * z,T(x,u)). x != K(T(y,z * u) * u,T(y,z * u)) | x = a(y,u,y) * K(u,T(y,z)). 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(y / x,u)) * K((x / y) \ 1,T(z,u)) = a((x / y) \ 1,z,(x / y) \ 1). K(x * y,T(x,z)) * K(x,T(y,T(z,u))) = a(x,y,x). K(((x \ y) \ 1) * z,x / y) * K((x \ y) \ 1,T(z,T(x,u))) = a((x \ y) \ 1,z,(x \ y) \ 1). K((x \ y) \ z,x / y) * K((x \ y) \ 1,T(z,T(x,u))) = a((x \ y) \ 1,z,(x \ y) \ 1). K((x \ y) \ z,x / y) * K(y \ x,T(z,T(x,u))) = a((x \ y) \ 1,z,(x \ y) \ 1). K((x \ y) \ z,x / y) * K(x / y,z) = a((x \ y) \ 1,z,(x \ y) \ 1). K(((x / y) \ 1) * z,y / x) * K((x / y) \ 1,T(z,y \ x)) = a((x / y) \ 1,z,(x / y) \ 1). K((x \ y) \ z,x / y) * K((y / x) \ 1,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). K((x \ y) \ z,x / y) * K(x / y,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). K((x \ y) \ z,x / y) * K(x / y,z) = a((y / x) \ 1,z,(y / x) \ 1). x != 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 * z) \ y) \ 1),z) = K(z * x,z). 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). 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) \ w),u) | x = K(y * ((u * z) \ w),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). 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). K(((1 / (x \ y)) * ((z * (((y \ x) \ u) * (y \ x))) / (1 / (x \ y)))) \ u,w) = K(1 / z,T(w,u / (1 / (x \ y)))). K(x / T(y \ 1,z),T(u,y)) != w | K(T(y \ 1,z) \ x,u) = w. K(T((x / y) \ 1,x),(1 / (y / (((x / y) \ 1) \ y))) * z) = K((((x / y) \ 1) \ y) \ y,z / (y / (((x / y) \ 1) \ y))). K(T((x / y) \ 1,x),(x / y) * z) = K((((x / y) \ 1) \ y) \ y,z / (y / (((x / y) \ 1) \ y))). K((x / y) \ 1,T((x / y) * z,x)) = K((((x / y) \ 1) \ y) \ y,z / (y / (((x / y) \ 1) \ y))). K((((x / y) \ 1) \ y) \ y,z / (y / (((x / y) \ 1) \ y))) = K((x / y) \ 1,T((x / y) * z,x)). x != K(y \ z,T(y * u,w)) | x = K(z / y,T(u * y,w)). K((((x / y) \ 1) \ y) \ y,z / (y / (((x / y) \ 1) \ y))) = K(1 / (x / y),T(z * (x / y),x)). x != K(1 / y,T(z * y,u)) | x = K(1 / y,y * T(z,u)). K((((x / y) \ 1) \ y) \ y,z / (y / (((x / y) \ 1) \ y))) = K(1 / (x / y),(x / y) * T(z,x)). x != K(1 / (y / z),u) | x = K(z / y,u). K((((x / y) \ 1) \ y) \ y,z / (y / (((x / y) \ 1) \ y))) = K(y / x,(x / y) * T(z,x)). x != K(y / z,(z / y) * T(u,z)) | x = K(z \ y,u * (z / y)). K((((x / y) \ 1) \ y) \ y,z / (y / (((x / y) \ 1) \ y))) = K(x \ y,z * (x / y)). K((((x / y) \ 1) \ y) \ y,z / ((x / y) \ 1)) = K(x \ y,z * (x / y)). x != K(y,z / (u \ 1)) | x = K(y,z / (1 / u)). K(x \ y,z * (x / y)) = K((((x / y) \ 1) \ y) \ y,z / (1 / (x / y))). K((((x / y) \ 1) \ y) \ y,z / (1 / (x / y))) = K(x \ y,z * (x / y)). K((x / y) \ 1,T(z / (1 / (x / y)),y)) = K(x \ y,z * (x / y)). K(1 / (x / y),T(z / (1 / (x / y)),y)) = K(x \ y,z * (x / y)). x != K(1 / y,T(z / (1 / y),u)) | x = K(1 / y,y * T(z,u)). K(x \ y,z * (x / y)) = K(1 / (x / y),(x / y) * T(z,y)). K(1 / (x / y),(x / y) * T(z,y)) = K(x \ y,z * (x / y)). K(x / y,(y / x) * T(z,x)) = K(y \ x,z * (y / x)). K(x,T(((y / x) / y) * T(z,y),y)) = K((y / x) \ y,z * ((y / x) / y)). K((x / y) \ x,z * ((x / y) / x)) = K(y,T(((x / y) / x) * T(z,x),x)). K(T(x,y) / (x / y),((x / y) / T(x,y)) * T(z,T(x,y))) = K((x * y) / x,z * ((x / y) / T(x,y))). K(x,y * ((z / x) / z)) = K(x,T(((z / x) / z) * T(y,z),z)). K(x,T(((y / x) / y) * T(z,y),y)) = K(x,z * ((y / x) / y)). x != K(y,z * T(u,T(w,v5))) | x = K(y,z * T(u,w)). K((x * y) / x,z * ((x / y) / T(x,y))) = K(T(x,y) / (x / y),((x / y) / T(x,y)) * T(z,x)). K(T(x,y) / (x / y),((x / y) / T(x,y)) * T(z,x)) = K((x * y) / x,z * ((x / y) / T(x,y))). x != K(T(y,z) / (y / z),u) | x = K(z,u). K((x * y) / x,z * ((x / y) / T(x,y))) = K(y,((x / y) / T(x,y)) * T(z,x)). x != K(y,(z / T(u,y)) * w) | x = K(y,(z / u) * w). K((x * y) / x,z * ((x / y) / T(x,y))) = K(y,((x / y) / x) * T(z,x)). K(x,T(y * ((z / x) / T(z,x)),z)) = K(x,((z / x) / z) * T(y,z)). x != K(y,T(z * (u / T(w,y)),v5)) | x = K(y,T(z * (u / w),v5)). K(x,((y / x) / y) * T(z,y)) = K(x,T(z * ((y / x) / y),y)). x != K(y,T(z * ((u / y) / u),u)) | x = K(y,T(((u / y) / u) * z,u)). K(x,((y / x) / y) * T(z,y)) = K(x,T(((y / x) / y) * z,y)). x != K(y,T(((z / y) / z) * T(u,z),z)) | x = K(y,u * ((z / y) / z)). K(x,((y / x) / y) * T(T(z,y),y)) = K(x,z * ((y / x) / y)). K(x,((y / x) / y) * T(T(T(z,(y / x) / y),y),y)) = K(x,z * ((z * ((y / x) / y)) / z)). K(x,T(T(y,z),z) * ((z / x) / z)) = K(x,y * ((y * ((z / x) / z)) / y)). x != K(y,z * (u / z)) | x = K(y,T(u,z)). K(x,T(T(y,z),z) * ((z / x) / z)) = K(x,T(y * ((z / x) / z),y)). K(x,T(y * ((z / x) / z),y)) = K(x,T(T(y,z),z) * ((z / x) / z)). K(x,((y / x) / y) * z) = K(x,T(T(z,y),y) * ((y / x) / y)). K(x,T(T(y,z),z) * ((z / x) / z)) = K(x,((z / x) / z) * y). x != K(y,z * ((u / y) / u)) | x = K(y,z / y). K(x,((y / x) / y) * z) = K(x,T(T(z,y),y) / x). K(x,T(T(y,z),z) / x) = K(x,((z / x) / z) * y). x != K(y,T(z,u) / y) | x = K(y,T(z / y,u)). K(x,((y / x) / y) * z) = K(x,T(T(z,y) / x,y)). x != K(y,T(T(z,u) / y,w)) | x = K(y,T(T(z / y,u),w)). K(x,((y / x) / y) * z) = K(x,T(T(z / x,y),y)). K(x,((y / x) / y) * z) = K(x,z / x). x != K(y / z,((y / (y / z)) / y) * u) | x = K(y / z,(z / y) * u). K(x / y,z / (x / y)) = K(x / y,(y / x) * z). K(x,K(y,z)) * K(z / x,(x / z) * y) = K(x \ z,y / (z / x)). x != K(y,K(z,u)) * K(u / y,(y / u) * z) | x = K(y \ u,z * (y / u)). K(x \ y,z / (y / x)) = K(x \ y,z * (x / y)). x * K(y \ z,x * (y / z)) = (y \ z) * (x / (y \ z)). x != 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)). 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(y / (y / L(z,u,w)),v5),y / z) | x = T(L(z,u,w),v5). 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,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,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)). K(x,K((y / z) / u,L(w,z,y))) = K(x,K(w,(y * (1 / u)) / z)). 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) / z),L(w,v5,v6))) = K(x,K(y / u,L(w,v5,v6))). x != K(y,K((z / u) * w,L(v5,u,z))) | x = K(y,K(v5,(z * w) / u)). K(x,K((y / z) / u,L(w,z,y))) = K(x,K(w,(y * ((v5 / u) / v5)) / z)). K(x,K((y / z) / (1 / u),L(w,z,y))) = K(x,K(w,(T(y,u) / (1 / u)) / z)). K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(T(y,u) / (1 / u)) / z)). K(x,K(y,(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 / ((1 / u) * w))) = K(x,K(y,(u / w) * z)). 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))). 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,((z / (z / (u \ 1))) / w) * v5)) = K(x,K(y,(w * u) / v5)). x != K(y,K((z / u) / w,L(v5,u,z))) | x = K(y,K(v5,(z * ((v6 / w) / v6)) / u)). K(x,K(y,(z * (1 / u)) / w)) = K(x,K(y,(z * ((v5 / u) / v5)) / w)). K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K(y,(z * (1 / w)) / v5)). x != K(y,K(z,(u * (1 / w)) / v5)) | x = K(y,K(z,(w / u) * v5)). K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K(y,(w / z) * v5)). K(x,K(y,z / (((u / w) / u) * v5))) = K(x,K(y,(w / v5) * z)). x != K(y,K(z,u / (((w / (w / v5)) / w) * v6))) | x = K(y,K(z,((w / (w / ((v5 / w) \ 1))) / v6) * u)). K(x,K(y,((z / u) / w) * v5)) = K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)). K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) = K(x,K(y,((z / u) / w) * v5)). 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)). 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))). K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(x,z,K(y,K(w,u / z))). x != a(y,z,K(u,K(w,v5))) | 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))). K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,u,K(x,K(w,u / z))). K(x,K(y,((z / u) * w) * ((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))). x != K(y,K(z,(u * w) / (u * (w / v5)))) | x = K(y,K(v5,L(z,w,u))). K(x,K(y,(z * u) * ((w / u) / z))) = K(x,K(w,L(y,u,z))). 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)))). 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 * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) * (1 / 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 * ((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)). 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) / v5) * (w / (1 / v5)))) | x = K(y,K(z,L(u,1 / w,1 / v5))). K(x,K(y,(z * u) * ((w / u) / z))) = K(x,K(y,L(w,1 / u,1 / z))). x != K(y,K(z,(u * w) * ((v5 / w) / u))) | x = K(y,K(v5,L(z,w,u))). 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). 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)). 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 = 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))). 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))). 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))). x != a(y,1 / z,K(u,K(w,v5))) | x = a(v5,z,K(u,K(w,y))). K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(y,K(w,x))). K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(x,K(y,w))). K(x,K(y,((z / u) / (1 / (K(w,1 / z) / w))) * (((1 / z) * (1 / (1 / w))) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). K(x,K(y,((z / u) / (1 / (K(w,1 / z) / w))) * (((1 / z) * w) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). K(x,K(y,((z / u) / (w * K(1 / z,w))) * (((1 / z) * w) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). K(x,K(y,(((z / u) / w) * K(w,1 / z)) * (((1 / z) * w) * u))) = a(u,z,K(x,K(y,1 / (K(w,1 / z) / w)))). 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))). x != a(y,z \ u,K(z,K(w,v5))) | x = a(y,u,K(z,K(w,v5))). 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))). x != a(y,z,K(u,K(w,v5 / z))) | x = K(y,K(u,((z / v5) / (w * z)) * (w * v5))). a(x,y,K(z,K(u,w))) = K(u,K(y,((x / z) / (w * x)) * (w * z))). 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))). K(x,K(y,L(L(1 / z,z,u),w,u * z))) = K(x,K(y,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(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))). x != K(y,K(z,L(L(1 / u,u,w),v5,w * u))) | x = K(y,K(z,L(u,w,v5))). 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)). x != K(y,K(z,1 / u)) | x = K(u,K(y,z)). K(x,K(y,L(z,u,w))) = K(z,K(x,y)). x != K(y,K(z,1 / u)) | x = K(y,K(u,z)). K(x,K(y,L(z,u,w))) = K(x,K(z,y)). K(x,K(y,L(z,u,w))) != v5 | K(x,K(y,z)) = v5. x * K(y,K(z,u)) != K(z,K(u,L(y,w,v5))) | 1 = x. 1 = a(x,y,K(z,K(u,w))). a(x,y,K(z,K(u,w))) = 1. (x * y) * K(z,K(u,w)) = x * (y * K(z,K(u,w))). a(K(x,y),z,K(u,w)) = 1. a(K(x,K(y,z)),u,w) = 1. x != a(y,z,K(u,w)) | x = K(a(u,z,w),y). 1 = K(a(x,y,K(z,u)),w). K(a(x,y,K(z,u)),w) = 1. 1 = K(x,a(y,z,K(u,w))). K(x,a(y,z,K(u,w))) = 1. T(a(x,y,K(z,u)),w) = a(x,y,K(z,u)). K(K(x,a(y,z,u)),w) = 1. x * K(K(y,a(z,u,w)),v5) != v6 | v6 = x. L(x,y,K(z,K(u,w))) = x. T(x,a(y,z,K(u,w))) = x. x * a(y,z,K(u,w)) = a(y,z,K(u,w)) * x. a(x,y,K(z,u)) * w = w * a(x,y,K(z,u)). x * a(y,z,K(u,w)) != v5 | a(y,z,K(u,w)) * x = v5. a(x,y,K(z,u)) * w = w * a(u,y,K(x,z)). a(x,y,K(z,u)) * w = w * a(z,y,K(u,x)). (a(x,y,K(z,u)) * w) * a(u,y,K(z,x)) = w. x != a(y,z,K(u,w)) * (y \ v5) | x = L(y,z,K(w,u)) \ v5. (x \ y) * a(x,z,K(u,w)) = L(x,z,K(w,u)) \ y. (x * y) \ ((x * a(z,u,K(w,v5))) * y) = R(T(a(z,u,K(w,v5)),x * y),x,y). K(x,a(y,z,u)) * w = w * a(x,z,K(u,y)). K(x,y) * (z * a(x,u,K(w,y))) = L(K(x,y),u,w) * z. K(x,y) * (z * a(x,u,K(w,y))) = K(x,L(y,u,w)) * z. a(x,y,K(z,u)) \ w != v5 | w * a(u,y,K(z,x)) = v5. x != (y \ z) * a(z,u,K(w,v5)) | x = y \ L(z,u,K(w,v5)). a(x,y,K(z,u)) * (w \ u) = w \ L(u,y,K(x,z)). x * y != (z / (u * w)) * u | x \ (z / L(w,u,z / (u * w))) = y. a(x,y,K(z,u)) \ (w / L(v5,a(u,y,K(x,z)),w / (a(u,y,K(x,z)) * v5))) = w / (a(u,y,K(x,z)) * v5). T(x,K(y,a(z,u,w))) = x. T(x,K(a(y,z,u),w)) = x. K(x,T(y,a(z,u,w))) = K(x,y). T(x,T(y,a(z,u,w))) = T(x,y). T(x,a(y,z,u) / w) = T(x,w \ a(y,z,u)). T(x,y / a(z,u,w)) = T(x,a(z,u,w) \ y). T(x,K(y,L(z,u,w) \ z)) = x. T(x,a(y,z,u) * w) != v5 | T(x,w * a(y,z,u)) = v5. x \ T(y * x,K(a(z,u,w),v5)) = T(y,K(v5,a(z,u,w)) * x). K(x,a(y,z,u)) * T(x,w) = T(T(x,a(y,z,u)),w). T(x,L(y,z,K(u,w))) = T(x,y). T(x,T(y,L(z,u,w))) = T(x,T(y,z)). x * T(y,z) != T(T(y,u),z) | x = K(y,T(u,z)). K(x,a(y,z,u)) = K(x,T(a(y,z,u),w)). K(x,T(a(y,z,u),w)) = K(x,a(y,z,u)). x != K(y,a(z,u,w)) | x = K(a(y,u,w),z). K(x,T(a(y,z,u),w)) = K(a(x,z,u),y). x != K(y,a(z,u,w)) | x = a(y,u,K(w,z)). K(x,T(a(y,z,u),w)) = a(x,z,K(u,y)). K(x * y,a(z,u,w)) = a(y * x,u,K(w,z)). a(x,y,K(z,u)) * (a(u,y,z) \ w) = T(a(u,y,z),T(x,v5)) \ w. T(a(x,y,z),T(u,w)) \ v5 = a(u,y,K(z,x)) * (a(x,y,z) \ v5). a(x,y,K(z,u)) * w != v5 | w * a(x,y,K(z,u)) = v5. a(x,y,K(z,u)) * w != v5 | w * a(z,y,K(u,x)) = v5. a(x * y,z,K(u,w)) != v5 | a(y * x,z,K(u,w)) = v5. K(a(x,y,z) * u,w) = K(u * a(x,y,z),w). K(x,y * a(z,u,w)) = K(x,a(z,u,w) * y). K(x,a(y,z,u) * w) = K(x,w * a(y,z,u)). K(x,y / a(z,u,w)) = K(x,a(z,u,w) \ y). K(x,a(y,z,u) / w) = K(x,w \ a(y,z,u)). x != K(y,T(T(z * T(u,w),v5),u)) | x = K(y,T(T(u,w) * z,v5)). K(x,T(y * T(a(z,u,w),v5),v6)) = K(x,T(T(a(z,u,w),v5) * y,v6)). K(x,T(T(a(y,z,u),w) * v5,v6)) = K(x,T(v5 * T(a(y,z,u),w),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). K(x,a(y,z,u) / w) != v5 | K(x,w \ a(y,z,u)) = v5. K(x,y) * ((a(z,u,w) * y) * x) = (a(z,u,w) * y) * T(x,y). K(x,T(y,a(z,u,w))) != v5 | K(x,y) = v5. K(x / a(y,z,u),w) != v5 | K(a(y,z,u) \ x,w) = v5. K(a(x,y,z) / u,w) != v5 | K(u \ a(x,y,z),w) = v5. K(x,y) * (a(z,u,w) * x) != v5 | a(z,u,w) * T(x,y) = v5. (K(x,y) * a(z,u,w)) * v5 = (a(z,u,w) * K(x,y)) * v5. K(x,y * a(z,u,w)) != v5 | K(x,a(z,u,w) * y) = v5. K(x,a(y,z,u) * w) != v5 | K(x,w * a(y,z,u)) = v5. K(x,L(y,z,K(u,w))) = K(x,y). K(x,T(y,L(z,u,w))) = K(x,T(y,z)). K(x,(K(y,z) * u) \ w) = K(x,u \ (K(z,y) * w)). x * y != K(z,u) * ((a(w,v5,v6) * u) * z) | T(x,y) = y \ ((a(w,v5,v6) * u) * T(z,u)). T(K(x,y) * (a(z,u,w) * y),x) = x \ ((a(z,u,w) * y) * T(x,y)). x \ ((a(y,z,u) * w) * T(x,w)) = T(K(x,w) * (a(y,z,u) * w),x). x \ (y * (a(z,u,K(w,v5)) * (y \ x))) = L(a(w,u,K(v5,z)),y \ x,y). (x * (a(y,z,K(u,w)) * v5)) * K(a(u,z,K(w,y)),v5) = x * (a(u,z,K(w,y)) * v5). (x * (a(y,z,K(u,w)) * v5)) * 1 = x * (a(u,z,K(w,y)) * v5). x * (a(y,z,K(u,w)) * v5) = x * (a(u,z,K(w,y)) * 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) = a(x,a(u,z,K(w,y)),v5). (x * y) \ ((x * a(z,u,K(w,v5))) * y) = R(a(z,u,K(w,v5)),x,y). x != R(a(y,z,K(u,w)),v5,v6) | x = a(y,z,K(u,L(w,v5,v6))). (x * y) \ ((x * a(z,u,K(w,v5))) * y) = a(z,u,K(w,L(v5,x,y))). (x * y) * a(z,u,K(w,L(v5,x,y))) = (x * a(z,u,K(w,v5))) * y. L(K(x,y),z,K(u,w)) = K(x,y). x != K(y,L(z,u,w)) | x = R(K(y,z),u,w). K(x,y) = R(K(x,y),z,K(u,w)). R(K(x,y),z,K(u,w)) = K(x,y). K(x,y) = K(L(x,z,K(u,w)),y). K(L(x,y,K(z,u)),w) = K(x,w). x != K(y,L((z \ u) \ w,w,z)) | x = K(y,u \ (z * w)). K(x,(K(y,z) \ u) \ w) = K(x,u \ (K(y,z) * w)). K(x,L(y,z,L(K(u,w),v5,v6))) = K(x,y). K(x,L(y,z,T(u,w))) = K(x,L(y,z,u)). (K(x,y) * z) * K(u,w) = K(x,y) * (z * K(u,w)). K(x,y / (z * K(u,w))) = K(x,(y * K(w,u)) / z). K(x,(y * K(z,u)) / w) = K(x,y / (w * K(u,z))). K(x,L(y,z,u \ w)) = K(x,L(y,z,w / u)). K(x,L(y,z,u / w)) = K(x,L(y,z,w \ u)). K(x,L(y,z,u \ 1)) = K(x,L(y,z,w \ (u \ w))). K(x,L(y,z,u \ (w \ u))) = K(x,L(y,z,w \ 1)). K(x,y / ((y / z) * u)) = K(x,L(T(u \ z,y),u,z \ y)). K(x,L(T(y \ z,u),y,z \ u)) = K(x,u / ((u / z) * y)). x != K(y,L(z,u,w)) | x = K(y,z) * a(y,u,K(w,z)). K(x,L(y,z,u / w)) = K(x,y) * a(x,z,K(w \ u,y)). K(x,y) * a(x,z,K(u \ w,y)) = K(x,L(y,z,w / u)). x != K(y,L(T(z,u),w,u / (w * y))) | x = K(u / ((u / (w * y)) * w),z). K(x,L(T(y,z),u,(u * x) \ z)) = K(z / ((z / (u * x)) * u),y). K(x,L(T(y \ z,u),y,z \ u)) != w | K(x,u / ((u / z) * y)) = w. x * K(y,L(T(z,u),u,(K(z,y) * u) \ x)) = (x / (K(z,y) * u)) * u. T(x,K(y,z \ L(z,u,w))) = x. K(x,T(y,z \ L(z,u,w))) = K(x,y). T(x,K(y,z \ L(z,u,w))) != v5 | v5 = x. L(x,y,T(z,K(u,w))) = L(x,y,z). x \ (K(y,K(z,u)) * w) = (K(y,K(z,u)) \ x) \ w. (K(x,K(y,z)) \ u) \ w = u \ (K(x,K(y,z)) * w). (K(x,K(y,z)) * u) * w = 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 * v5)) = L(v5,L(w,u,K(x,K(y,z))),K(x,K(y,z)) * u). K(x,K(y,z)) \ (u * w) = (K(x,K(y,z)) \ u) * w. (K(x,K(y,z)) * (u * (w * v5))) \ (((K(x,K(y,z)) * u) * w) * v5) = a(K(x,K(y,z)) * u,w,v5). (x * K(y,K(z,u))) * w = K(y,K(z,u)) * (x * w). (x * (y * K(z,K(u,w)))) \ (x * (K(z,K(u,w)) * (y * v5))) = L(v5,K(z,K(u,w)) * y,x). (K(x,K(y,z)) * (u * (w * v5))) \ ((K(x,K(y,z)) * (u * w)) * v5) = a(K(x,K(y,z)) * u,w,v5). (K(x,K(y,z)) * (u * (w * v5))) \ (K(x,K(y,z)) * ((u * w) * v5)) = a(K(x,K(y,z)) * u,w,v5). x * y != K(z,K(u,w)) * (v5 * K(z,u)) | T(x,y) = y \ (v5 * K(z,T(u,w))). T(x * K(y,K(z,u)),K(y,z)) = K(y,z) \ (x * K(y,T(z,u))). K(x,y) \ (z * K(x,T(y,u))) = T(z * K(x,K(y,u)),K(x,y)). (x * T(y,K(z,u))) * w = K(y,K(z,u)) * ((x * y) * w). K(x,K(y,z)) * ((u * x) * w) = (u * T(x,K(y,z))) * w. a(x,y,a(z,u,K(w,v5))) * a(x,u,K(w,v5)) = a(w,u,K(v5,L(x,z,y))). a(x,y,K(z,u)) * T(a(x,w,a(v5,y,K(z,u))),T(a(x,y,K(z,u)),v6)) = T(a(z,y,K(u,L(x,v5,w))),K(a(x,y,K(z,u)),v6)). a(x,y,K(z,u)) * T(a(x,w,a(v5,y,K(z,u))),a(x,y,K(z,u))) = T(a(z,y,K(u,L(x,v5,w))),K(a(x,y,K(z,u)),v6)). T(a(x,y,K(z,L(u,w,v5))),K(a(u,y,K(x,z)),v6)) = a(u,y,K(x,z)) * T(a(u,v5,a(w,y,K(x,z))),a(u,y,K(x,z))). T(a(x,y,K(z,L(u,w,v5))),K(a(u,y,K(x,z)),v6)) = a(u,y,K(x,z)) * a(u,v5,a(w,y,K(x,z))). x != a(y,z,K(u,w)) * a(y,v5,a(v6,z,K(u,w))) | x = a(y,z,K(u,L(w,v5,v6))). T(a(x,y,K(z,L(u,w,v5))),K(a(u,y,K(x,z)),v6)) = a(u,y,K(x,L(z,v5,w))). a(x,y,K(z,L(u,w,v5))) = a(z,y,K(u,L(x,v5,w))). a(x,y,K(z,L(u,w,v5))) = a(u,y,K(x,L(z,v5,w))). (x * y) * a(z,u,K(w,L(v5,y,x))) = (x * a(w,u,K(v5,z))) * y. x * (y * a(z,u,K(w,v5))) = (x * a(w,u,K(v5,z))) * y. (x * a(y,z,K(u,w))) * v5 = x * (v5 * a(w,z,K(y,u))). (x * a(y,z,K(u,w))) * v5 = x * (v5 * a(y,z,K(u,w))). L(x,y,K(z,u)) * w = x * (w * a(u,y,K(x,z))). x * (y * a(z,u,K(x,w))) = L(x,u,K(w,z)) * y. L(x,y,K(z,u)) * w = x * (w * a(x,y,K(z,u))). x * (y * a(x,z,K(u,w))) = L(x,z,K(u,w)) * y. (x * (a(y,z,K(u,w)) * v5)) \ (x * (v5 * a(y,z,K(u,w)))) = a(x,a(u,z,K(w,y)),v5). K(x,a(y,z,K(u,w))) = a(v5,a(u,z,K(w,y)),x). a(x,a(y,z,K(u,w)),v5) = K(v5,a(w,z,K(y,u))). x != K(y,a(z,u,K(w,v5))) | x = 1. a(x,a(y,z,K(u,w)),v5) = 1. L(x,a(y,z,K(u,w)),v5) = x. a(x,K(y,a(z,u,w) \ 1),v5) = 1. x * (a(y,z,K(x,u)) * w) = L(x,z,K(u,y)) * w. x * y != L(x,z,u) * (x * w) | y = L(x,z,u) * w. (x * y) * a(x,z,K(u,w)) = L(x,z,K(u,w)) * y. (K(x,K(y,z)) \ u) \ (K(x,K(y,z)) \ w) = u \ w. K(x,K(y,z)) * (u * w) = u * (w * K(x,K(y,z))). x != y * (z * K(u,K(w,v5))) | x = y * (K(u,K(w,v5)) * z). (x * y) * K(z,K(u,w)) = x * (K(z,K(u,w)) * y). (x * (y * K(z,K(u,w)))) * v5 = K(z,K(u,w)) * ((x * y) * v5). K(x,K(y,z)) * (u * w) = u * (K(x,K(y,z)) * w). K(x,y * (K(z,K(u,w)) * v5)) = K(x,y * v5). x \ (K(y,K(z,u)) * w) = K(y,K(z,u)) * (x \ w). K(x,K(y,z)) * u != (w * K(x,K(y,z))) * v5 | u = w * v5. (x * K(y,K(z,u))) * w = x * (K(y,K(z,u)) * w). K(x,K(y,z)) * u != (K(x,K(y,z)) * w) * v5 | u = w * v5. (K(x,K(y,z)) * u) * w = u * (K(x,K(y,z)) * w). K(x,y * (K(z,K(u,w)) * v5)) != v6 | K(x,y * v5) = v6. K(x,K(y,z)) * (u * (w * K(x,y))) = u * (w * K(x,T(y,z))). x != K(y,K(z,u)) * w | x = w * K(y,K(z,u)). x \ (K(y,K(z,u)) * w) = (x \ w) * K(y,K(z,u)). x \ K(y,z * u) = K(y,K(z,u)) * (x \ K(y,u * z)). K(x,K(y,z)) * (u \ K(x,z * y)) = u \ K(x,y * z). x != (K(y,K(z,u)) * (w * (v5 * v6))) \ (K(y,K(z,u)) * ((w * v5) * v6)) | x = a(K(y,K(z,u)) * w,v5,v6). ((K(x,K(y,z)) * (u * (w * v5))) \ ((u * w) * v5)) * K(x,K(y,z)) = a(K(x,K(y,z)) * u,w,v5). x \ K(y,T(z,u)) = (x \ K(y,z)) * K(y,K(z,u)). (x \ K(y,z)) * K(y,K(z,u)) = x \ K(y,T(z,u)). K(x * L((y \ z) * K(u,K(w,v5)),y,K(u,w)),v6) = K(x * ((K(u,w) * y) \ (K(u,T(w,v5)) * z)),v6). x \ (K(y,K(z,u)) * w) != v5 | K(y,K(z,u)) * (x \ w) = v5. x \ (y * (K(z,K(u,w)) * v5)) = (x \ (y * v5)) * K(z,K(u,w)). x * y != (z * (u * K(w,K(v5,v6)))) * v7 | x \ (K(w,K(v5,v6)) * ((z * u) * v7)) = y. (x * ((y * K(z,K(u,w))) * v5)) \ (K(z,K(u,w)) * ((x * y) * v5)) = a(x,y * K(z,K(u,w)),v5). (x * (K(y,K(z,u)) * (w * v5))) \ (K(y,K(z,u)) * ((x * w) * v5)) = a(x,w * K(y,K(z,u)),v5). K(x,K(y,z)) * ((u * (K(x,K(y,z)) * (w * v5))) \ ((u * w) * v5)) = a(u,w * K(x,K(y,z)),v5). R(x,K(y,K(z,u)),w) = x. L(x,K(y,K(z,u)),w) = x. (x \ y) * K(z,K(u,w)) = (x * K(z,K(u,w))) \ y. (x * K(y,K(z,u))) \ w = (x \ w) * K(y,K(z,u)). (K(x,K(y,z)) * u) \ w = (u \ w) * K(x,K(y,z)). (x * (y * K(z,K(u,w)))) \ v5 = ((x * y) \ v5) * K(z,K(u,w)). x != y * K(z,K(u,w)) | x = K(z,K(u,w)) * y. (K(x,K(y,z)) * u) \ w = K(x,K(y,z)) * (u \ w). (((x * (y * z)) \ ((x * y) * z)) * K(u,K(w,v5))) * K(u,K(w,v5)) = a(K(u,K(w,v5)) * x,y,z). (a(x,y,z) * K(u,K(w,v5))) * K(u,K(w,v5)) = a(K(u,K(w,v5)) * x,y,z). a(K(x,K(y,z)) * u,w,v5) = a(u,w,v5). a(K(x,K(y,z)) * u,w,v5) != v6 | v6 = a(u,w,v5). a(K(x,K(y,z)) * u,w,v5) != v6 | a(u,w,v5) = v6. a(x \ K(y,z),u,w) = a(K(y,z) / x,u,w). a(K(x,y) / z,u,w) = a(z \ K(x,y),u,w). a(K(x,y) * z,u,w) != v5 | a(z * K(x,y),u,w) = v5. a(T(x,K(y,z)) \ u,w,v5) != v6 | a(x \ u,w,v5) = v6. a(x * K(y,z),u,w) = a(K(y,y \ z) * x,u,w). a(K(x,x \ y) * z,u,w) = a(z * K(x,y),u,w). a(x * K(y,z),u,w) = a(K(y,z) * x,u,w). a(K(x,y) * z,u,w) = a(z * K(x,y),u,w). a(1 / (x / y),z,u) = a((x / T(y,w)) \ K(w,y),z,u). a((x / T(y,z)) \ K(z,y),u,w) = a(1 / (x / y),u,w). a((x / T(y,z)) \ K(z,y),u,w) != v5 | a((x / y) \ 1,u,w) = v5. a((x \ (T(x,y) / (T(x,y) / z))) \ 1,u,w) != v5 | a((z / x) \ 1,u,w) = v5. a(K(x,y) * z,u,w) = a(z * K(x,x * y),u,w). a(x * K(y,y * z),u,w) = a(K(y,z) * x,u,w). x != a(y * K(z,z * u),w,v5) | x = a(y * K(u \ 1,u * z),w,v5). a(K(x,y) * z,u,w) = a(z * K(y \ 1,y * x),u,w). a(x * K(y \ 1,y * z),u,w) = a(K(z,y) * x,u,w). x != a(y * K(z \ 1,z * u),w,v5) | x = a(y * K(z \ 1,u),w,v5). a(K(x,y) * z,u,w) = a(z * K(y \ 1,x),u,w). a(x * K(y \ 1,z),u,w) = a(K(z,y) * x,u,w). a(x * K(y \ 1,z),u,w) != v5 | a(x * K(z,y),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). (x * (K(y,K(z,u)) * w)) \ v5 = K(y,K(z,u)) * ((x * w) \ v5). K(x,K(y,z)) * (K(x,K(y,z)) * ((u * (w * v5)) \ ((u * w) * v5))) = a(u,w * K(x,K(y,z)),v5). K(x,K(y,z)) * (K(x,K(y,z)) * a(u,w,v5)) = a(u,w * K(x,K(y,z)),v5). a(x,y * K(z,K(u,w)),v5) = a(x,y,v5). a(x,T(y,K(z,u)),w) = a(x,y,w). a(x,T(y,T(z,u)),w) = a(x,T(y,z),w). a(x,y,T(z,u)) = a(x,T(y,z),T(z,u)). a(x,T(y,z),T(z,u)) = a(x,y,T(z,u)). a(x,y,z) = a(x,y,T(z,y)). a(x,y,T(z,y)) = a(x,y,z). a(x,y \ z,(y \ z) \ z) = a(x,y \ z,y). (x * (y * z)) * a(x,z,y) = (x * z) * T(y,z). a(x,y,z) * (x * (z * y)) = (x * y) * T(z,y). (a(x,y,z) * u) \ ((a(x,y,z) * w) * u) = T(w,u). x != a(a(y,z,u),w,v5) * (a(y,z,u) * (v5 * w)) | x = (a(y,z,u) * v5) * w. (a(x,y,z) * u) * T(w,u) = (a(x,y,z) * w) * u. (a(x,y,z) * u) * (a(x,y,z) \ 1) = T(u,a(x,y,z) \ 1). (a(x,y,z) * u) \ (w * u) = T(a(x,y,z) \ w,u). (a(x,y,z) * u) \ u = T(a(x,y,z) \ 1,u). T(a(x,y,z) \ 1,u) = (a(x,y,z) * u) \ u. x * y != (a(z,u,w) * v5) * T(v6,v5) | T(x,y) = y \ ((a(z,u,w) * v6) * v5). T(a(x,y,z) * (u * K(w,u)),w) = w \ ((a(x,y,z) * w) * u). (a(x,y,z) * u) * L(T(w,u),v5,v6) = (a(x,y,z) * L(w,v5,v6)) * u. x * y != (a(z,u,w) * x) * T(v5,x) | T(a(z,u,w) * v5,x) = y. (a(x,y,z) * u) * T(w,u) != u * v5 | T(a(x,y,z) * w,u) = v5. (a(x,y,z) * K(u,w)) * v5 = (a(x,y,z) * T(v5,K(u,w))) * K(u,w). (a(x,y,z) * T(u,K(w,v5))) * K(w,v5) = (a(x,y,z) * K(w,v5)) * u. (x * a(x,y,z)) * T(u,x) = (a(x,y,z) * u) * x. (x * a(y,z,z \ 1)) * T(u,x) = (a(y,z,z \ 1) * u) * x. x \ ((a(y,z,u) * x) * w) = T(K(x,w) * (a(y,z,u) * w),x). T(K(x,y) * (a(z,u,w) * y),x) = x \ ((a(z,u,w) * x) * y). T(a(x,y,z) \ u,a(x,y,z) \ 1) != w | u * (a(x,y,z) \ 1) = w. x * (a(y,z,z \ 1) \ 1) = a(y,z,z \ 1) \ x. T(x,a(y,z,u)) * ((x * a(y,z,u)) \ x) = x * T(a(y,z,u) \ 1,x). ((a(x,y,z) * u) * x) / (a(x,y,z) * T(u,x)) != w | R(x,a(x,y,z),T(u,x)) = w. R(x,a(x,y,z),T(u,x)) = T(x * K(a(x,y,z) * u,x),u). T(x * K(a(x,y,z) * u,x),u) = R(x,a(x,y,z),T(u,x)). x != R(y,z,T(u,y)) | x = R(y,z,u). T(x * K(a(x,y,z) * u,x),u) = R(x,a(x,y,z),u). (a(x,y,z) * (u \ w)) \ w = T(a(x,y,z) \ u,u \ w). T(a(x,y,z) \ u,u \ w) = (a(x,y,z) * (u \ w)) \ w. (a(x,y,z) * u) \ w = T(a(x,y,z) \ (w / u),u). T(a(x,y,z) \ (u / w),w) = (a(x,y,z) * w) \ u. x * T(a(y,z,u) \ w,x / a(y,z,u)) = K(a(y,z,u) \ x,a(y,z,u)) * (w * (x / a(y,z,u))). K(a(x,y,z) \ u,a(x,y,z)) * (w * (u / a(x,y,z))) = u * T(a(x,y,z) \ w,u / a(x,y,z)). x * y != T(a(z,u,w) \ (v5 / v6),v6) | x \ ((a(z,u,w) * v6) \ v5) = y. K(a(x,y,z) \ (u / w),w) \ ((a(x,y,z) * w) \ u) = a(x,y,z) \ (u / w). x * ((a(y,z,u) * x) \ w) = (a(y,z,u) \ (w / x)) * x. (a(x,y,z) \ (u / w)) * w = w * ((a(x,y,z) * w) \ u). T((a(x,y,z) \ u) * K(w,u),w) = (a(x,y,z) * w) \ (w * u). x * ((a(y,z,u) * x) \ (x * w)) = (a(y,z,u) \ w) * T(x,w). (a(x,y,z) \ u) * T(w,u) = w * ((a(x,y,z) * w) \ (w * u)). K(x,K(y,z)) \ (u * w) = (K(y,K(x,z)) \ u) * w. x != T(y * (z * u),K(z,u)) | x = (z * u) * T(y,u * z). x * (a(y,z,u) * w) = (a(y,z,u) * w) * T(x,w * a(y,z,u)). (a(x,y,z) * u) * T(w,u * a(x,y,z)) = w * (a(x,y,z) * u). L(x,K(y,a(z,u,w) \ 1),v5) = x. 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,K(y,a(z,u,w)) * v5) != v6 | T(x,v5) = v6. T(x,y * K(a(z,u,w),v5)) = T(x,y). T(x,a(y,z,K(u,w)) * v5) = T(x,v5). T(x,K(y,L(z,u,w))) = T(x,K(y,z)). T(x,K(y,L(z,u,w)) * v5) = T(x,K(y,z) * v5). T(x,y * a(z,u,K(w,v5))) = T(x,y). x * y != T(z,u * a(w,v5,K(v6,v7))) | x \ T(z,u) = y. x \ T(x,y) = K(x,y * a(z,u,K(w,v5))). K(x,y * a(z,u,K(w,v5))) = x \ T(x,y). x / T(x,y) = K(y * a(z,u,K(w,v5)),x). K(x * a(y,z,K(u,w)),v5) = v5 / T(v5,x). T(x,y * (z * a(u,w,K(v5,v6)))) = T(x,y * z). K((T(x,y) \ (y * a(z,u,K(w,v5)))) \ 1,v6) = K(((y * a(z,u,K(w,v5))) / x) \ 1,v6). K(x * a(y,z,K(u,w)),v5) = K(x,v5). K(x * a(y,z,K(u,w)),v5) != v6 | K(x,v5) = v6. K((x * y) * K(z,u),w) = K(x * (y * K(z,u)),w). K(x * K(y,a(z,u,w)),v5) = K(x,v5). K(x \ L(y,z,K(u,w)),v5) = K(x \ y,v5). (K(x,y) * z) / (L(y * x,u,K(w,v5)) \ z) = (x * a(v5,u,K(y * x,w))) * y. K(K(x,a(y,z,u)) * w,v5) = K(w,v5). x != (y * a(z,u,K(w,v5))) * v6 | x = y * (v6 * a(z,u,K(w,v5))). (K(x,y) * z) / (L(y * x,u,K(w,v5)) \ z) = x * (y * a(v5,u,K(y * x,w))). L(x,y,K(z,u)) * K(w \ x,w) = (w \ L(x,y,K(z,u))) * w. L(x,y,K(z,u)) * a(a(w,v5,v6) \ x,v5,K(v6,w)) = (a(w,v5,v6) \ L(x,y,K(z,u))) * a(w,v5,v6). K(x,y \ (z * K(u,w))) = K(x,(K(w,u) * y) \ z). K(x,(K(y,z) * u) \ w) = K(x,u \ (w * K(z,y))). x != K(y,(K(z,u) * w) \ v5) | x = K(y,(w \ K(u,z)) * v5). K(x,y \ (K(z,u) * w)) = K(x,(y \ K(z,u)) * w). (K(x,K(y,z)) \ (u * w)) \ ((K(x,K(y,z)) * u) * (w * v5)) = L(v5,L(w,u,K(x,K(y,z))),K(x,K(y,z)) * u). (K(x,K(y,z)) \ (u * w)) \ ((K(K(y,z),x) \ u) * (w * v5)) = L(v5,L(w,u,K(x,K(y,z))),K(x,K(y,z)) * u). (K(x,K(y,z)) \ (u * w)) \ ((K(y,K(x,z)) \ u) * (w * v5)) = L(v5,L(w,u,K(x,K(y,z))),K(x,K(y,z)) * u). (K(x,K(y,z)) \ (u * w)) \ (K(x,K(y,z)) \ (u * (w * v5))) = L(v5,L(w,u,K(x,K(y,z))),K(x,K(y,z)) * u). x != (K(y,K(z,u)) \ w) \ (K(y,K(z,u)) \ v5) | x = w \ v5. L(x,L(y,z,K(u,K(w,v5))),K(u,K(w,v5)) * z) = (z * y) \ (z * (y * x)). L(x,L(y,z,K(u,K(w,v5))),K(u,K(w,v5)) * z) = L(x,y,z). L(x,y,K(z,K(u,w)) * v5) = L(x,y,v5). L(x,y,z * K(u,w)) = L(x,y,K(u,w) * z). L(x,y,K(z,u) * w) = L(x,y,w * K(z,u)). L(x,y,K(z,T(u,w))) = L(x,y,K(z,u)). L(x,y,z * K(u,K(w,v5))) = L(x,y,z). L(x,y,K(z,u / w)) = L(x,y,K(z,w \ u)). x != L(y * z,u,K(w,T(v5,z))) | x = y * (z * a(v5,u,K(z * y,w))). L(x * y,z,K(u,w)) = x * (y * a(w,z,K(y * x,u))). x * (y * a(z,u,K(y * x,w))) = L(x * y,u,K(w,z)). L(x,y,K(z \ (u \ z),w)) = L(x,y,K(u \ 1,w)). x != y * (z * a(u,w,K(z * y,v5))) | x = (K(y,z) * v6) / (L(z * y,w,K(v5,u)) \ v6). L(x * y,z,K(u,w)) = (K(x,y) * v5) / (L(y * x,z,K(u,w)) \ v5). (K(x,y) * z) / (L(y * x,u,K(w,v5)) \ z) = L(x * y,u,K(w,v5)). x != (K(y,z) * u) / (L(z * y,w,K(v5,y)) \ u) | x = y * L(z,w,K(v5,y)). L(x * y,z,K(u,x)) = x * L(y,z,K(u,x)). x * L(y,z,K(u,x)) = L(x * y,z,K(u,x)). K(x,y \ z) = K(x,(y \ K(u,w)) * (K(w,u) * z)). K(x,(y \ K(z,u)) * (K(u,z) * w)) = K(x,y \ w). a(x \ T(y,K(z,u)),w,v5) = a(x \ y,w,v5). a((x * K(y,z)) * u,w,v5) = a((K(y,z) * x) * u,w,v5). a((K(x,y) * z) * u,w,v5) = a((z * K(x,y)) * u,w,v5). a(x \ (K(y,z) * u),w,v5) = a(x \ (u * K(y,z)),w,v5). a(L(x \ y,x,K(z,u)),w,v5) = a((K(z,u) * x) \ (y * K(z,u)),w,v5). K(x,y * a(z,u,K(w,v5))) = K(x,y). K(x,y * a(z,u,K(w,v5))) != v6 | K(x,y) = v6. K(x,(y * z) * K(u,w)) = K(x,y * (z * K(u,w))). K(x,y * (z * a(u,w,K(v5,v6)))) = K(x,y * z). K(x,K(y,z)) = K(x,K(L(y,u,w),z)). K(x,K(L(y,z,u),w)) = K(x,K(y,w)). K(x,y * K(z,a(u,w,v5))) = K(x,y). K(x,a(y,z,K(u,w)) * v5) = K(x,v5). K(x,K(y,z) * (u * w)) = K(x,u * (w * K(z,y))). K(x,K(y,z) * (u * w)) = K(x,u * (w * K(y,z))). x != K(y,z * (u * K(w,v5))) | x = K(y,z * (K(w,v5) * u)). K(x,(y * z) * K(u,w)) = K(x,y * (K(u,w) * z)). K(x,(y * (z \ 1)) * K(u,w)) = K(x,y * (z \ K(u,w))). K(x,y * (z * K(u,w))) != v5 | K(x,K(u,w) * (y * z)) = v5. K(x,y * (z * K(u,w))) != v5 | K(x,K(w,u) * (y * z)) = v5. K(x,K(y,z) * (u * w)) = K(x,u * (K(z,y) * w)). K(x,K(y,z) * (u * w)) = K(x,u * (K(y,z) * w)). K(x,y * (K(z,u) * w)) != v5 | K(x,K(z,u) * (y * w)) = v5. K(x,(y * z) * K(u,w)) != v5 | K(x,y * (z * K(u,w))) = v5. K(x,(y * (z \ 1)) * K(u,w)) != v5 | K(x,y * (z \ K(u,w))) = v5. K(x,K(y,z) * ((u \ K(z,y)) * w)) = K(x,u \ w). (a(x,y,z) * u) * T(w,u) != v5 | v5 = (a(x,y,z) * w) * u. (a(x,y,z) * u) * T(w,u) != v5 | (a(x,y,z) * w) * u = v5. a(a(x,y,z),u,w) * (a(x,y,z) * (w * u)) != v5 | (a(x,y,z) * w) * u = v5. (a(x,y,K(z,u)) * w) * T(v5,w) != v6 | v5 * (a(x,y,K(z,u)) * w) = v6. 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). T(x,K(L(y,z,u),w) * v5) = T(x,K(y,w) * v5). T(x,K(y,(z * u) \ w) * v5) = T(x,K(y,u \ (z \ w)) * v5). T(x,y * K(L(z,u,w),v5)) = T(x,K(z,v5) * y). T(x,y * K(z,L(u,w,v5))) = T(x,K(z,u) * y). T(x,y * (z * K(u,w))) = T(x,K(u,w) * (y * z)). T(x,K(y,z) * (u * w)) = T(x,u * (w * K(y,z))). x / T(x,K(y,z) * u) = K(K(y,L(z,w,v5)) * u,x). K(K(x,L(y,z,u)) * w,v5) = v5 / T(v5,K(x,y) * w). K(K(x,L(y,z,u)) * w,v5) = K(K(x,y) * w,v5). K(K(x,L(y,z,u)) * w,v5) != v6 | K(K(x,y) * w,v5) = v6. K(K(x,(y * z) \ u) * w,v5) = K(K(x,z \ (y \ u)) * w,v5). x / (K(K(y,z) * u,w) * x) = K(w,K(y,L(z,v5,v6)) * u). K(x,K(y,L(z,u,w)) * v5) = v6 / (K(K(y,z) * v5,x) * v6). K(K(x \ (y * z),u) * w,v5) = K(K((y \ x) \ z,u) * w,v5). K(K((x \ y) \ z,u) * w,v5) = K(K(y \ (x * z),u) * w,v5). K(x,K(y,L(z,u,w)) * v5) = K(x,K(y,z) * v5). K(x,K(y,L(z,u,w)) * v5) != v6 | K(x,K(y,z) * v5) = v6. K(x,K(y,z) * (u * (w * z))) = K(x,(u * w) * T(L(z,w,u),y)). K(x,(K(y,z) * u) * w) != v5 | K(x,K(y,z) * (u * w)) = v5. K(x,K(y,z) * (u * (w * z))) = K(x,u * (w * T(z,y))). K(x,K(y,z) * (u * (w * y))) = K(x,u * (w * T(y,z))). x != K(y,K(z,u) * ((w \ K(u,z)) * v5)) | x = K(y,w \ v5). K(x,(y \ K(z,u)) * (w * T(z,u))) = K(x,y \ (w * z)). T(x,y \ (a(z,u,w) * v5)) = T(x,y \ (v5 * a(z,u,w))). T(a(x,y,z),K(u,w)) = a(x,y,z). x != y * K(z,u) | x = (z / y) \ T(z,u). K(x,y) * a(z,u,w) = (x / a(z,u,w)) \ T(x,y). (x / a(y,z,u)) \ T(x,w) = K(x,w) * a(y,z,u). K(x,L(y,z,K(u,w)) \ v5) = K(x,y \ v5). K(x,(a(y,z,u) * w) \ v5) = K(x,(w * a(y,z,u)) \ v5). T(x,K(y,z) * T(u,w)) = T(x,w * ((u / w) * K(y,z))). T(x,y * ((z / y) * K(u,w))) = T(x,K(u,w) * T(z,y)). T(x,K(y,z) * (u * (w \ T(z,y)))) = T(x,u * (w \ z)). T(x,K(y,z) * (u * (w \ y))) = T(x,u * (w \ T(y,z))). T(x,K(y,z) * (u * (w \ T(z,v5)))) = T(x,u * (w \ T(T(z,v5),y))). T(x,K(y,z) * (u * (w \ z))) = T(x,u * (w \ T(z,y))). T(x,K(y,z) * (u * (w \ T(y,v5)))) = T(x,u * (w \ T(T(y,v5),z))). x != T(y,K(z,u) * (w * (v5 \ T(u,z)))) | x = T(y,w * (v5 \ u)). T(x,y * (z \ T(T(u,w),w))) = T(x,y * (z \ u)). T(x,y * (L(z,u,K(w,v5)) \ v6)) = T(x,y * (z \ v6)). T(x,K(y,L(z,u,w)) * v5) = v5 \ T(x * T(v5,K(z,y)),K(z,y)). T(x,K(y,z / (u * w)) * v5) = T(x,K(y,(z / w) / u) * v5). T(x,K(y,(z / u) / w) * v5) = T(x,K(y,z / (w * u)) * v5). T(x,K(y,L(z,u,w)) * v5) = v5 \ T(x * T(v5,K(z,y)),K(y,z)). T(x,K(y,L(z,u,w)) * v5) != v6 | T(x,K(y,z) * v5) = v6. T(x,(K(y,z) * u) * w) != v5 | T(x,K(y,z) * (u * w)) = v5. T(x,K(y,z) * (u * w)) = T(x,(u * K(y,z)) * w). T(x,(y * K(z,u)) * w) = T(x,K(z,u) * (y * w)). T(x,(y \ K(z,u)) \ w) != v5 | T(x,K(u,z) * (y * w)) = v5. T(x,(y * K(z,u)) * w) != v5 | T(x,K(z,u) * (y * w)) = v5. x != T(y,((z / (u * z)) * K(u * z,u \ 1)) * w) | x = T(y,T(R(1 / u,u,z),u * z) * w). T(x,K(y * z,y \ 1) * ((z / (y * z)) * u)) = T(x,T(R(1 / y,y,z),y * z) * u). T(x,(y / (z * u)) * w) = T(x,K(u,z) * ((y / (u * z)) * w)). T(x,K(y,z) * ((u / (y * z)) * w)) = T(x,(u / (z * y)) * w). T(x,(y \ (z * u)) * w) = T(x,K(z,u) * ((y \ (u * z)) * w)). T(x,K(y,z) * ((u \ (z * y)) * w)) = T(x,(u \ (y * z)) * w). T(x,(y \ (T(z,u) * u)) * w) = T(x,K(z,u) * ((y \ (z * u)) * w)). T(x,K(y,z) * ((u \ (y * z)) * w)) = T(x,(u \ (T(y,z) * z)) * w). K(a(x,y,z) \ (u \ w),u) \ ((a(x,y,z) * u) \ w) = a(x,y,z) \ (w / u). K(x,a(y,z,u) \ (x \ w)) * ((a(y,z,u) * x) \ w) = a(y,z,u) \ (w / x). T(x,y / (y * ((a(z,u,w) * y) \ v5))) = T(x,(a(z,u,w) \ (v5 / y)) \ 1). T(x,(((a(y,z,u) * w) \ v5) * w) \ w) = T(x,(a(y,z,u) \ (v5 / w)) \ 1). x != T(y,((z \ u) * w) \ w) | x = T(y,T(u \ z,w)). T(x,(a(y,z,u) \ (w / v5)) \ 1) = T(x,T(w \ (a(y,z,u) * v5),v5)). T(x,T(y \ (a(z,u,w) * v5),v5)) = T(x,(a(z,u,w) \ (y / v5)) \ 1). K(x,y * ((z * u) * K(w,v5))) = K(x,y * (z * (u * K(w,v5)))). K(x,y * K(z,L(u,w,v5))) = K(x,y * K(z,u)). K(x,y * (z * (u * a(w,v5,K(v6,v7))))) = K(x,y * (z * u)). K(x,y * L(z,u,K(w,v5))) = K(x,y * z). K(x,y * (z \ L(u,w,K(v5,v6)))) = K(x,y * (z \ u)). K(x,y * (a(z,u,K(w,v5)) * v6)) = K(x,y * v6). K(x,y * (z * K(u,L(w,v5,v6)))) = K(x,y * (z * K(u,w))). K(K(x,y) * (z * u),w) != v5 | K((K(x,y) * z) * u,w) = v5. K(L(x,y,K(z,u)),w) != v5 | K(x,w) = v5. K((K(x,y) * z) * u,w) != v5 | K(K(x,y) * (z * u),w) = v5. K(x * T(y,a(z,u,w)),v5) != v6 | K(x * y,v5) = v6. K(x * (K(y,z) * u),T(w,u)) != v5 | K(K(y,z) * (u * x),w) = v5. K(x,y * (z * K(u,K(w,v5)))) != v6 | K(x,y * z) = v6. K(x,L(y,z,K(u,w))) != v5 | K(x,y) = v5. K(x,y \ a(z,u,K(w,v5))) != v6 | K(x,y \ 1) = v6. K(x,y * T(z,a(u,w,v5))) != v6 | K(x,y * z) = v6. K(x,a(y,z,K(u,w)) * v5) != v6 | K(x,v5) = v6. K(x,K(y,a(z,u,w)) * v5) != v6 | K(x,v5) = v6. K(x,(a(y,z,u) * w) \ v5) != v6 | K(x,(w * a(y,z,u)) \ v5) = v6. K(x,L(y,z,T(u,w))) != v5 | K(x,L(y,z,u)) = v5. K(x,(K(y,z) * u) \ w) != v5 | K(x,u \ (K(z,y) * w)) = v5. K(x,T(y,L(z,u,w))) != v5 | K(x,T(y,z)) = v5. K(x,L(y,z,L(T(u,w),v5,v6))) != v7 | K(x,L(y,z,L(u,v5,v6))) = v7. K(x,L(y,z,u * w)) != v5 | K(x,L(y,z,w * u)) = v5. K(x,L(y,z,u / w)) != v5 | K(x,L(y,z,w \ u)) = v5. T(x,K(y,L(z \ 1,u,w)) * v5) = v5 \ T(x * T(v5,K(z,y)),K(y,z \ 1)). T(x,K(y,L(z \ 1,u,w)) * v5) = v5 \ T(x * T(v5,K(z,y)),K(z,y)). T(x,K(y,L(z \ 1,u,w)) * v5) = T(x,K(y,z) * v5). T(x,K(y,z \ 1) * u) = T(x,K(y,z) * u). x != T(y,K(z * u,z \ 1) * ((u / (z * u)) * w)) | x = T(y,T(R(1 / z,z,u),z * u) * w). T(x,K(y * z,y) * ((z / (y * z)) * u)) = T(x,T(R(1 / y,y,z),y * z) * u). T(x,K(y * z,z) * ((y / (z * y)) * u)) = T(x,T(R(1 / z,z,y),z * y) * u). T(x,K(y * z,z) * ((y / (z * y)) * u)) = T(x,((z * y) \ (1 * y)) * u). T(x,K(y * z,z) * ((y / (z * y)) * u)) = T(x,((z * y) \ y) * u). T(x,K(y,z) * ((z / (y * z)) * u)) = T(x,((y * z) \ z) * u). x != T(y,K(z,u) * ((w / (z * u)) * v5)) | x = T(y,(w / (u * z)) * v5). T(x,((y * z) \ z) * u) = T(x,(z / (z * y)) * u). T(x,(y / (y * z)) * u) = T(x,((z * y) \ y) * u). x * a(K(y,z),u,K(w,v5)) != v6 | v6 = x. a(x,y,K(z,u)) \ (w \ v5) = (w * a(x,y,K(z,u))) \ v5. (x * a(y,z,K(u,w))) \ v5 = a(y,z,K(u,w)) \ (x \ v5). x != T(y,L((z * K(u,w)) / v5,v5,K(w,u))) | x = T(y,z / (v5 * K(w,u))). T(x,(y * K(z,u)) / w) = T(x,y / (w * K(u,z))). x != L(K(y,T(z \ u,K(w,v5) \ z)),z,K(v5,w)) | x = K(y,(K(v5,w) * u) / (K(v5,w) * z)). K(x,T(y \ z,K(u,w) \ y)) = K(x,(K(w,u) * z) / (K(w,u) * 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,w) = K(z \ (K(y,x) * u),w). (K(x,y) * z) * K(u,w) != v5 | K(x,y) * (z * K(u,w)) = v5. (K(x,y) \ z) * K(u,w) = K(x,y) \ (z * K(u,w)). K(x,y) \ (z * K(u,w)) = (K(x,y) \ z) * K(u,w). 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)). 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). L(x,y,K(z,u) * (w * z)) = L(x,y,w * T(z,u)). L(x,y,T(z,u \ w)) = L(x,y,T(z,w / u)). L(x,y,T(z,u / w)) = L(x,y,T(z,w \ u)). K(x,y) * a(z,u,w) != v5 | a(z,u,w) * K(x,y) = v5. T(x * a(y,z,u),K(w,v5)) = a(y,z,u) * T(x,K(w,v5) * a(y,z,u)). a(x,y,z) * T(u,K(w,v5) * a(x,y,z)) = T(u * a(x,y,z),K(w,v5)). K(x,K(y,z \ (u * w))) = K(x,K(y,(u \ z) \ w)). K(x,K(y,(z \ u) \ w)) = K(x,K(y,u \ (z * w))). K(x,K(y,z / (u * w))) = K(x,K(y,(z / w) / u)). K(x,K(y,(z / u) / w)) = K(x,K(y,z / (w * u))). K(x,L(y,z,u)) * K(x,K(y,w)) = T(K(x,L(y,z,u)),w). K(x,K((y * z) \ u,w)) = K(x,K(w,z \ (y \ u))). K(x,K(y \ (z * u),w)) = K(x,K(w,(z \ y) \ u)). K(x,K(y,z)) * K(x,z * L(y,u,w)) = K(x,L(y,u,w) * z). T(x,T(y,(z * u) \ w)) = T(x,T(y,u \ (z \ w))). L(x,y,z) * K(u,T(w,x)) = K(u,w) * L(x,y,z). K(x,T(y,z / (u * w))) = K(x,T(y,(z / w) / u)). K(x,T(y,(z / u) / w)) = K(x,T(y,z / (w * u))). K(x,(y \ L(y,z,u)) / w) != v5 | K(x,w \ (y \ L(y,z,u))) = v5. T(x,K(y,L(z,u,w))) = T(x,K(z,y)). T(x,K(y,(z * u) \ w)) = T(x,K(y,u \ (z \ w))). T(x,K(y,R(z,u,w))) = T(x,K(y,z)). K(x * (y * K(z,a(u,w,v5))),v6) = K(x * y,v6). K(x,y / z) = K(x,y / T(z,a(u,w,v5))). K(x,y / T(z,a(u,w,v5))) = K(x,y / z). K(x,y * (a(z,u,w) \ v5)) = K(x,y * (v5 / a(z,u,w))). K(x,y * (z / a(u,w,v5))) = K(x,y * (a(u,w,v5) \ z)). K(x,y / (a(z,u,w) * v5)) = K(x,y / (v5 * a(z,u,w))). T(x,K(y,L(z,u,w))) != v5 | T(x,K(y,z)) = v5. T(x,K(y,(z * u) \ (w * u))) = T(x,K(y,w / z)). K(T(x,T(y,z)) \ u,w) = K(T(x,y) \ u,w). x != K(y,K(z \ u,z) \ w) | x = K(y,K(u,z) \ w). K(x,K(y,y \ z) \ u) = K(x,K(z,y) \ u). (T(x,y) / z) * K(x,K(u,z)) = T(T(x,y) / z,K(u,x)). T(x * K(y \ x,y),(y * z) \ z) \ T(x,T((y * z) \ z,T(y,u))) = K(y,x * ((y * z) \ z)). K(a(x,y,z),u) * w = w * K(x,a(u,y,z)). K(x,(L(K(y,z),u,w) \ v5) \ v6) = K(x,v5 \ (L(K(y,z),u,w) * v6)). x != y | x = L(y,z,K(u,K(w,v5))). L(x,y,z * K(u,K(w,v5))) = L(L(x,y,z),v6,K(v7,K(v8,v9))). L(L(x,y,z),u,K(w,K(v5,v6))) = L(x,y,z * K(v7,K(v8,v9))). L(K(x,K(y,z)),u,w) != v5 | v5 = K(x,K(y,z)). L(K(x,K(y,z)),u,w) != v5 | K(x,K(y,z)) = v5. K(x * (y / z),u) = K(x * (y / T(z,a(w,v5,v6))),u). K(x * (y / T(z,a(u,w,v5))),v6) = K(x * (y / z),v6). x != K(y * ((K(z,T(u,w)) * v5) / T(v6,a(T(u,w),v6 \ v5,z))),v7) | x = K(y * (K(z,u) * (v5 / v6)),v7). K(x * ((K(y,T(z,u)) * w) / v5),v6) = K(x * (K(y,z) * (w / v5)),v6). K(x * ((K(y,z) * u) / w),v5) = K(x * (K(y,z) * (u / w)),v5). K(K(L(x,y,z),u) * w,v5) != v6 | K(K(x,u) * w,v5) = v6. K(K(x,y) * z,u) = K(z * K(L(x,w,v5),y),u). K(x * K(L(y,z,u),w),v5) = K(K(y,w) * x,v5). K(K(x * (y * z),x * y) * u,w) != v5 | K(K(z,x * y) * u,w) = v5. K(x * K(y,L(z,u,w)),v5) != v6 | K(K(z,y) * x,v5) = v6. K(x * (y * K(z,u)),w) = K(K(z,u) * (x * y),w). K(K(x,y) * (z * u),w) = K(z * (u * K(x,y)),w). K(K(x,y) * (z * u),w) = K(z * (u * K(x,L(y,v5,v6))),w). K(x * (y * K(z,L(u,w,v5))),v6) = K(K(z,u) * (x * y),v6). K(K(x,y) * (z * u),w) = K(z * (u * K(y,x)),w). K((x * y) * K(z,u),w) = K(x * (y * K(u,z)),w). K(K(x,y) * (z * (u / y)),w) = K(z * (u / T(y,x)),w). K(K(x,y) * (z * (u \ 1)),w) = K(z * (u \ K(x,y)),w). K((K(x,y) * z) * u,w) = K(z * (u * K(y,x)),w). x != K(K(y,z) * (u * w),v5) | x = K(u * (w * K(y,z)),v5). K(x * (y * K(z,u)),w) = K(x * (y * K(u,z)),w). K(K(x,x \ y) * (z * (u * (y / x))),w) = K(z * (u * (x \ y)),w). K(K(x,y) * (z * (u * (y / x))),w) = K(z * (u * (x \ y)),w). K((T(x,y) \ z) * u,w) = K((x \ z) * (u * K(x,y)),w). K((x \ y) * (z * K(x,u)),w) = K((T(x,u) \ y) * z,w). K(((x / (x / y)) \ z) * u,w) = K((y \ z) * (u * K(y \ x,y)),w). x != K(y * (z * K(u,w)),v5) | x = K(K(u,w) * (y * z),v5). K((T(x,y) \ z) * u,w) = K(K(x,y) * ((x \ z) * u),w). K(K(x,y) * ((x \ z) * u),w) = K((T(x,y) \ z) * u,w). x != K(K(y,z) * (u * w),v5) | x = K(u * (w * K(z,y)),v5). K((T(x,y) \ z) * u,w) = K((x \ z) * (u * K(y,x)),w). K((x \ y) * (z * K(u,x)),w) = K((T(x,u) \ y) * z,w). K(K(x,K(y,z)) * (((K(x,y) * z) \ u) * w),v5) = K((T(K(x,y) * z,T(z,v6)) \ u) * w,v5). K(((K(x,y) * z) \ u) * w,v5) = K((T(K(x,y) * z,T(z,v6)) \ u) * w,v5). K((T(K(x,y) * z,T(z,u)) \ w) * v5,v6) = K(((K(x,y) * z) \ w) * v5,v6). K(((x * K(y,z)) \ u) * w,v5) = K(((K(y,z) * x) \ u) * w,v5). K(((K(x,y) * z) \ u) * w,v5) = K(((z * K(x,y)) \ u) * w,v5). x != K(y * z,u) | x = K(z * y,T(u,y)). K(((K(x,y) * z) \ u) * w,v5) = K(w * ((z * K(x,y)) \ u),T(v5,(z * K(x,y)) \ u)). K(x * ((y * K(z,u)) \ w),T(v5,(y * K(z,u)) \ w)) = K(((K(z,u) * y) \ w) * x,v5). K(((K(x,y) * (z * x)) \ u) * w,v5) = K(((z * T(x,y)) \ u) * w,v5). K(((K(x \ y,x) * (z * x)) \ u) * w,v5) = K(((z * (y / (y / x))) \ u) * w,v5). K(x * (K(y,L(z,u,w)) * v5),v6) = K(K(y,z) * (x * v5),v6). K(x * (y / T(z,u)),w) = K(x * ((y / z) * K(z,u)),w). K(x * ((y / z) * K(z,u)),w) = K(x * (y / T(z,u)),w). K(x * (K(y,z) * (u / y)),w) = K(x * (u / T(y,z)),w). x != K(y * (K(z,T(u,w)) * v5),v6) | x = K(y * (K(z,u) * v5),v6). K(x * (y / T(z,T(u,w))),v5) = K(x * (K(z,u) * (y / z)),v5). K(x * (K(L(y,y \ z,u),w) * (u * (z / y))),v5) = K(x * ((u * z) / T(L(y,y \ z,u),w)),v5). K(x * (K(y,L(z,u,w)) * (w * (u / y))),v5) = K(x * ((w * u) / T(L(y,y \ u,w),z)),v5). K(x * ((y * z) / T(L(u,u \ z,y),w)),v5) = K(x * (K(u,L(w,z,y)) * (y * (z / u))),v5). x != K(y * (K(z,L(u,w,v5)) * v6),v7) | x = K(K(z,u) * (y * v6),v7). K(x * ((y * z) / T(L(u,u \ z,y),w)),v5) = K(K(u,w) * (x * (y * (z / u))),v5). K(x * (y * (z / T(u,w))),v5) = K(K(u,w) * (x * (y * (z / u))),v5). K(K(x,y) * (z * (u * (w / x))),v5) = K(z * (u * (w / T(x,y))),v5). x != K(K(y,z) * (u * (w * (z / y))),v5) | x = K(u * (w * (y \ z)),v5). K(x * (y * (z / T(u,z))),w) = K(x * (y * (u \ z)),w). K(x,y) * z != K(x,L(y,u,w)) | z = a(x,u,K(w,y)). a(x,y,K(z \ u,w)) = a(x,y,K(u / z,w)). a(x,y,K(z / u,w)) = a(x,y,K(u \ z,w)). a(x,y,K(z / u,w)) = a(u \ z,y,K(w,x)). a(x \ y,z,K(u,w)) = a(w,z,K(y / x,u)). a(x,y,K(z,u)) = a(u,y,K((w * x) / w,z)). a(x,y,K((z * u) / z,w)) = a(u,y,K(w,x)). a(x \ y,z,K(u,w)) * K(u,y / x) = K(u,L(y / x,z,w)). a(x,y,K(z,T(u,w))) = a(z,y,K(u,x)). a(x,y,K(z,T(u,w))) = a(x,y,K(z,u)). a(x,y,K(z,T(u,w))) != v5 | a(x,y,K(z,u)) = v5. a(x,y,K(z,u \ w)) = a(x,y,K(z,w / u)). a(x,y,K(z,u / w)) = a(x,y,K(z,w \ u)). a(x,y,K(z,L(u \ w,v5,v6))) = a(x,y,K(z,L(w / u,v5,v6))). a(x,y,K(z,L(u / w,v5,v6))) = a(x,y,K(z,L(w \ u,v5,v6))). T(x,K(y,(z * u) \ w) * v5) = T(x,K(y,(w / u) / z) * v5). T(x,K(y,(z / u) / w) * v5) = T(x,K(y,(w * u) \ z) * v5). x != T(y,K(z,(u * w) \ v5) * v6) | x = T(y,K(z,w \ (u \ v5)) * v6). T(x,K(y,(z / u) / w) * v5) = T(x,K(y,u \ (w \ z)) * v5). T(x,K(y,z \ (u \ w)) * v5) != v6 | T(x,K(y,u \ (w / z)) * v5) = v6. K(x,K(y,z) * (u * w)) != v5 | K(x,u * (w * K(y,z))) = v5. K(x,K(y,z) * (u * w)) != v5 | K(x,u * (w * K(z,y))) = v5. K(x,y * (z * K(u,w))) = K(x,y * (z * K(w,u))). K(x,y * (z * K(u,w))) != v5 | K(x,y * (z * K(w,u))) = v5. x != K(y,z * (((u \ w) * u) * K(v5,v6))) | x = K(y,z * (K(v5,v6) * T(w,u))). K(x,y * ((z \ u) * (z * K(w,v5)))) = K(x,y * (K(w,v5) * T(u,z))). K(x,y * ((z * u) * K(w \ v5,w))) = K(x,y * (z * (u * K(T(w,v6) \ v5,w)))). K(x,y * (z * (u * K(T(w,v5) \ v6,w)))) = K(x,y * ((z * u) * K(w \ v6,w))). T(x,(y * K(z,u)) / (w \ 1)) = T(x,y / (w \ K(u,z))). x != L(y,z,K(u,w)) * (z * K(u,w)) | x = (y * z) * K(u,w). x * (a(y,z,K(x,u)) * (z * K(u,y))) = (x * z) * K(u,y). 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))). T(x * K(y,K(z,u)),w) * v5 = T(x,w) * (v5 * K(y,K(z,u))). T(T(x,K(y,z)),u) * w = T(x,u) * (w * K(x,K(y,z))). T(x,y) * (z * K(x,K(u,w))) = T(T(x,K(u,w)),y) * z. x != T(y,z) * ((u / y) * K(y,K(u,z))) | x = T(T(y,z),y \ u) * (y \ u). T(T(x,K(y,z)),z) * (y / x) = T(T(x,z),x \ y) * (x \ y). T(x,T(y,z)) * (z / x) = T(T(x,y),x \ z) * (x \ z). T(T(x,y),x \ z) * (x \ z) = T(x,T(y,z)) * (z / x). x != K(y * (K(z,u) * (w / z)),v5) | x = K(y * (w / T(z,u)),v5). K(x * (y / T(z,T(u,w))),v5) = K(x * (y / T(z,u)),v5). K(x * T((y \ z) * K(u,K(w,v5)),a(w,y,u)),v6) = K(x * ((K(u,w) * y) \ (K(u,T(w,v5)) * z)),v6). K(x * (T(y \ z,a(u,y,w)) * K(w,K(u,v5))),v6) = K(x * ((K(w,u) * y) \ (K(w,T(u,v5)) * z)),v6). K(x * T(y \ z,a(u,y,w)),v5) = K(x * ((K(w,u) * y) \ (K(w,T(u,v6)) * z)),v5). K(x * (y \ z),u) = K(x * ((K(w,v5) * y) \ (K(w,T(v5,v6)) * z)),u). K(x * ((K(y,z) * u) \ (K(y,T(z,w)) * v5)),v6) = K(x * (u \ v5),v6). K(x * ((K(y,z) * u) \ (K(y,z) * w)),v5) = K(x * (u \ w),v5). K(x * (T(y,K(z,u)) \ (K(u,z) * w)),v5) = K(x * ((y * K(z,u)) \ w),v5). K(x * ((y * K(z,u)) \ w),v5) != v6 | K(x * (y \ (K(u,z) * w)),v5) = v6. K(K(x,y) * z,T(u,w)) = K(w * ((z / w) * K(y,x)),u). K(x * ((y / x) * K(z,u)),w) = K(K(u,z) * y,T(w,x)). K(x,K(y,L(z,u,w)) * v5) != v6 | K(x,v5 * K(z,y)) = v6. K(x,K(y,L(z,u,w)) * (v5 * v6)) != v7 | K(x,v5 * (v6 * K(y,z))) = v7. K(x,(K(y,z) * u) * w) != v5 | K(x,u * (w * K(y,z))) = v5. K(x,y * (z * K(u \ 1,w))) != v5 | K(x,y * (z * K(u,w))) = v5. 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,y) * u)) * w) = K(x,(y * u) * (w * K(z,y))). K(x,y * (z * K(u,w))) * K(x,K(K(u,w) * y,z)) = K(x,z * (K(u,w) * y)). K(x,(K(y,z) * u) * (w \ 1)) = K(x,u * (w \ K(y,z))). K(K(x * ((y / x) * K(z,u)),w) * (v5 * (v6 / w)),v7) = K(v5 * (v6 / T(w,K(z,u) * T(y,x))),v7). K(K(K(x,y) * z,T(u,w)) * (v5 * (v6 / u)),v7) = K(v5 * (v6 / T(u,K(y,x) * T(z,w))),v7). K((x * (y / z)) * K(z,K(u,w) * v5),v6) = K(x * (y / T(z,K(w,u) * T(v5,v7))),v6). K(K(x,y) * (z * (u / y)),w) = K(z * (u / T(y,K(v5,v6) * T(x,v7))),w). a((K(x,y) * (z \ 1)) * u,w,v5) = a((z \ K(x,y)) * u,w,v5). K(x,y) * a((z \ K(u,w)) * v5,v6,K(y,x)) = K(x,L(y,v6,(K(u,w) * (z \ 1)) * v5)). K(x * (y \ T(z,u)),w) = K(x * (T(z,u) / T(y,z)),w). K(x * (T(y,z) / T(u,y)),w) = K(x * (u \ T(y,z)),w). K(x * (y / T(z,T(u,w))),v5) = K(v5,x * (y / T(z,u))) \ 1. K(x * ((y * z) / T(u,L(z,y,z) * y)),w) = K(x * (u \ T(L(z,y,z) * y,z)),w). K(x * ((y * z) / T(u,z * y)),w) = K(x * (u \ T(L(z,y,z) * y,z)),w). K(x * (y \ T(L(z,u,z) * u,z)),w) = K(x * ((u * z) / T(y,z * u)),w). 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). K(x * ((K(y,z) * u) / T(w,((z * y) \ u) * (y * z))),v5) = K(x * (w \ ((y * z) * ((z * y) \ u))),v5). K(x * (y / T(z,T(u,w))),v5) != v6 | K(x * (y / T(z,u)),v5) = v6. K(x * (K(y,z) * (u / y)),w) != v5 | K(x * (u / T(y,z)),w) = v5. K(x * ((y / z) * K(z,u)),w) != v5 | K(x * (y / T(z,u)),w) = v5. K(K(x,y) * (z * (u / y)),w) != v5 | K(z * (u / T(y,x)),w) = v5. K(x * (y / T(z,K(u,w) * T(v5,v6))),v7) != v8 | K(x * (y / T(z,v5)),v7) = v8. T(x,y * (z * K(u,T(w,v5)))) = T(x,y * (z * K(u,w))). K(x,y * (z * K(u,T(w,v5)))) != v6 | K(x,y * (z * K(u,w))) = v6. K(x,y * (z * K(u,T(w,v5)))) = K(x,y * (z * K(u,w))). T(x,y * (K(z,u) * w)) = T(x,y * (w * K(z,T(u,v5)))). T(x,y * (z * K(u,T(w,v5)))) = T(x,y * (K(u,w) * z)). T(x,K(y,L(z,u,w)) * (w * u)) = T(x,w * (K(y,z) * u)). x != T(y,K(z,L(u,w,v5)) * (v5 * w)) | x = T(y,v5 * (w * K(u,T(z,v6)))). T(x,y * (K(z,u) * w)) = T(x,y * (w * K(u,T(z,v5)))). T(x,y * (z * K(u,T(w,v5)))) = T(x,y * (K(w,u) * z)). T(x,y * (T(z,u) \ w)) = T(x,y * (K(z,u) * (z \ w))). T(x,y * (K(z,u) * (z \ w))) = T(x,y * (T(z,u) \ w)). T(x,K(y,z \ (u * w))) = T(x,K(y,w \ (u \ z))). T(x,K(y,z \ (u \ w))) = T(x,K(y,w \ (u * z))). T(x,K(y,z \ (u \ w))) != v5 | T(x,K(y,w \ (u * z))) = v5. (x * (y * K(z,K(u,w)))) \ v5 != v6 | K(z,K(u,w)) * ((x * y) \ v5) = v6. K(x,y * (z * K(u,w))) * K(x,K(y,z)) = K(x,z * (K(u,w) * y)). K(x,K(y,z) * (u * w)) = K(x,w * (u * K(y,z))) * K(x,K(w,u)). K(x,y * (z * K(u,w))) * K(x,K(y,z)) = K(x,K(u,w) * (z * y)). K(x,K(y,z)) * K(x,y * (z * K(u,w))) = K(x,K(u,w) * (z * y)). K(x,K(y,z * u)) * K(x,y * (z * (u * K(w,v5)))) = K(x,K(w,v5) * ((z * u) * y)). K(x,K(y,z * u)) * K(x,y * (T(z,w) * u)) = K(x,K(z,w) * ((z * u) * y)). x != K(y,K(z,u * w)) * K(y,z * (T(u,v5) * w)) | x = K(y,(T(u,v5) * w) * z). K(x,K(y,z) * ((y * u) * w)) = K(x,(T(y,z) * u) * w). K(x,(y * z) * (u * K(w,y))) = K(x,(T(y,w) * z) * u). K(x,K(y / z,z) * (((y / z) * u) * w)) = K(x,((z \ y) * u) * w). K(x,K(y \ z,z) * (((z / y) * u) * w)) = K(x,(T(z / y,z) * u) * w). K(x,K(y,T(z,u)) * ((((u * y) / u) * w) * v5)) = K(x,(T((u * y) / u,z) * w) * v5). x != K(y,(z * u) * (w * K(v5,z))) | x = K(y,(z * (K(v5,z) * u)) * w). K(x,(T(y,z) * u) * w) = K(x,(y * (K(z,y) * u)) * w). K(x,(y * (K(z,y) * u)) * w) = K(x,(T(y,z) * u) * w). K(x,(y * z) * u) = K(x,(T(z,y) * y) * u). K(x,(T(y,z) * z) * u) = K(x,(z * y) * u). K(x,(((y * z) / y) * u) * w) = K(x,(T(z,y) * u) * w). K(x,((y / z) * u) * w) = K(x,(T(z \ y,z) * u) * w). K(x,(T(y \ z,y) * u) * w) = K(x,((z / y) * u) * w). x != K(y,((z / u) * w) * v5) | x = K(y,K(v5,(u \ z) * w)) * K(y,v5 * ((z / u) * w)). K(x,(T(y \ z,y) * u) * w) = K(x,K(w,(y \ z) * u)) * K(x,w * ((z / y) * u)). K(x,K(y,(z \ u) * w)) * K(x,y * ((u / z) * w)) = K(x,(T(z \ u,z) * w) * y). K(x,K(y,z * u)) * w != K(x,(T(z,v5) * u) * y) | w = K(x,y * (T(z,v5) * u)). K(x,y * ((z / u) * w)) = K(x,y * (T(u \ z,u) * w)). K(x,y * (T(z \ u,z) * w)) = K(x,y * ((u / z) * w)). K(x,y * (T(z,u) * w)) = K(x,y * (((u * z) / u) * w)). K(x,y * (((z * u) / z) * w)) = K(x,y * (T(u,z) * w)). K(x,y * (z * u)) = K(x,y * (T(u,z) * z)). K(x,y * (T(z,u) * u)) = K(x,y * (u * z)). K(x,y * (z * (K(u,z) * w))) = K(x,y * (T(z,u) * w)). K(x,y * ((T(z,u) \ w) * z)) = K(x,y * (z * (K(u,z) * (w / z)))). K(x,y * (z * (K(u,z) * (w / z)))) = K(x,y * ((T(z,u) \ w) * z)). K(x,y * ((T(z,T(u,w)) \ w) * z)) = K(x,y * (z * (w / T(z,u)))). K(x,y * ((z \ u) * (z * K(w,z)))) = K(x,y * (z * (u / T(z,w)))). K(x,y * (T(z * u,K(w,L(v5,z,u))) * K(w,L(v5,z,u)))) = K(x,y * ((K(w,v5) * z) * u)). T(T(x,K(y,z * (u * w))),(z \ (T(w,u) * u)) * y) != v5 | T(x,y * (z \ (T(w,u) * u))) = v5. K(x,y * (T(z,T(u,w)) * (w / z))) = K(x,y * ((z \ w) * T(z,u))). x != K(y,z * (u * (K(w,u) * (v5 / u)))) | x = K(y,z * ((T(u,w) \ v5) * u)). K(x,y * (T(z,u) * (w / z))) = K(x,y * ((T(z,u) \ w) * z)). K(x,y * ((T(z,u) \ w) * z)) = K(x,y * (T(z,u) * (w / z))). x != K(y,z * ((u \ w) * (u * K(v5,v6)))) | x = K(y,z * (K(v5,v6) * T(w,u))). K(x,y * (z * (u / T(z,w)))) = K(x,y * (K(w,z) * T(u,z))). K(x,y * (K(z,u) * T(w,u))) = K(x,y * (u * (w / T(u,z)))). K(x,y * T(K(z,u) * w,u)) = K(x,y * (u * (w / T(u,z)))). K(x,y * (z * (u / T(z,w)))) = K(x,y * T(K(w,z) * u,z)). x != K(y,z * (u * (w / T(u,v5)))) | x = K(y,z * ((T(u,T(v5,w)) \ w) * u)). K(x,y * T(K(z,u) * w,u)) = K(x,y * ((T(u,T(z,w)) \ w) * u)). K(x,y * ((T(z,T(u,w)) \ w) * z)) = K(x,y * T(K(u,z) * w,z)). x != K(y,z * ((T(u,w) \ v5) * u)) | x = K(y,z * (T(u,w) * (v5 / u))). K(x,y * T(K(z,u) * w,u)) = K(x,y * (T(u,T(z,w)) * (w / u))). K(x,y * (T(z,T(u,w)) * (w / z))) = K(x,y * T(K(u,z) * w,z)). x != K(y,z * (T(u,T(w,v5)) * (v5 / u))) | x = K(y,z * ((u \ v5) * T(u,w))). K(x,y * T(K(z,u) * w,u)) = K(x,y * ((u \ w) * T(u,z))). K(x,y * ((z \ u) * T(z,w))) = K(x,y * T(K(w,z) * u,z)). x != (y * (z * K(u,K(w,v5)))) \ (y * (K(u,K(w,v5)) * (z * v6))) | x = L(v6,K(u,K(w,v5)) * z,y). ((x * (y * K(z,K(u,w)))) \ (x * (y * v5))) * K(z,K(u,w)) = L(v5,K(z,K(u,w)) * y,x). (((x * y) \ (x * (y * z))) * K(u,K(w,v5))) * K(u,K(w,v5)) = L(z,K(u,K(w,v5)) * y,x). (L(x,y,z) * K(u,K(w,v5))) * K(u,K(w,v5)) = L(x,K(u,K(w,v5)) * y,z). L(x,K(y,K(z,u)) * w,v5) = L(x,w,v5). L(x,y * K(z,u),w) = L(x,K(z,u) * y,w). L(x,K(y,z) * u,w) = L(x,u * K(y,z),w). L(x,K(y,T(z,u)),w) = L(x,K(y,z),w). L(x,y * K(z,K(u,w)),v5) = L(x,y,v5). K(x,a(y,z,u)) * (w * K(y,a(x,z,u))) = w. K(x,a(y,z,u)) * (w * a(x,z,u)) = w * T(a(x,z,u),y). (x * T(a(y,z,u),w)) * K((x * a(y,z,u)) * K(y,a(w,z,u)),v5) = T(K(y,a(w,z,u)) * (x * a(y,z,u)),T(v5,x * a(y,z,u))). K(x,y * T(a(z,u,w),v5)) != v6 | K(x,y * a(z,u,w)) = v6. (x * T(a(y,z,u),w)) * K(x * a(y,z,u),v5) = T(K(y,a(w,z,u)) * (x * a(y,z,u)),T(v5,x * a(y,z,u))). T(K(x,a(y,z,u)) * (w * a(x,z,u)),T(v5,w * a(x,z,u))) = (w * T(a(x,z,u),y)) * K(w * a(x,z,u),v5). x != (y * T(z,u)) * K(y * z,w) | x = T(y * z,w) * K(z,u). T(K(x,a(y,z,u)) * (w * a(x,z,u)),T(v5,w * a(x,z,u))) = T(w * a(x,z,u),v5) * K(a(x,z,u),y). T(K(x,a(y,z,u)) * (w * a(x,z,u)),T(v5,w * a(x,z,u))) = T(w * a(x,z,u),v5) * K(x,a(y,z,u)). T(x * T(a(y,z,u),w),T(v5,x * a(y,z,u))) = T(x * a(y,z,u),v5) * K(y,a(w,z,u)). x != T(y * T(z,u),T(w,y * z)) | x = T(y * T(z,u),w). T(x * a(y,z,u),w) * K(y,a(v5,z,u)) = T(x * T(a(y,z,u),v5),w). K(x,T(y * T(a(z,u,w),v5),v6)) = K(x,T(y * a(z,u,w),v6)). x != K(y,T(z * T(a(u,w,v5),v6),v7)) | x = K(y,T(T(a(u,w,v5),v6) * z,v7)). K(x,T(y * a(z,u,w),v5)) = K(x,T(T(a(z,u,w),v6) * y,v5)). K(x,T(T(a(y,z,u),w) * v5,v6)) = K(x,T(v5 * a(y,z,u),v6)). (x * T(y,K(x,z))) \ (T(x,K(u,T(w * a(v5,v6,v7),v8)) * z) * y) = K(x,K(T(T(a(v5,v6,v7),v9) * w,v8),u) * z). K(x,K(T(T(a(y,z,u),w) * v5,v6),v7) * v8) = (x * T(v9,K(x,v8))) \ (T(x,K(v7,T(v5 * a(y,z,u),v6)) * v8) * v9). K(x,K(T(T(a(y,z,u),w) * v5,v6),v7) * v8) = (x * T(v9,K(x,v8))) \ (T(x,K(v5 * a(y,z,u),v7) * v8) * v9). K(x,T(y,z \ (u / w))) = K(x,T(y,u / (z * w))). K(x,T(y,z / (u * w))) = K(x,T(y,u \ (z / w))). K(x,T(y,(z * u) \ w)) = K(x,T(y,z \ (w / u))). K(x,T(y,z \ (u / w))) != v5 | K(x,T(y,(z * w) \ u)) = v5. T(x,K(y,(z * u) \ (w * u))) != v5 | T(x,K(y,z \ w)) = v5. T(x,K(y,z \ u)) = T(x,K(y,w \ (z \ (u * w)))). T(x,K(y,z \ (u \ (w * z)))) = T(x,K(y,u \ w)). x * y != T(z,K(u,w \ (v5 \ (v6 * w)))) | x \ T(z,K(u,v5 \ v6)) = y. x \ T(x,K(y,z \ u)) = K(x,K(y,w \ (z \ (u * w)))). K(x,K(y,z \ (u \ (w * z)))) = x \ T(x,K(y,u \ w)). K(x,K(y,z \ (u \ (w * z)))) = K(x,K(y,u \ w)). K(x,K(y,z \ (u \ w))) = K(x,K(y,u \ (w / z))). x != K(y,K(z,u \ (w / v5))) | x = K(y,K(z,u \ (v5 \ w))). K(x,K(y,z \ (u \ w))) = K(x,K(y,u \ (z \ w))). K(x,K(y,z \ (T(u,w) \ v5))) != v6 | K(x,K(y,u \ (z \ v5))) = v6. K(x,K(y,z) * (u * (y \ w))) = K(x,u * (T(y,z) \ w)). K(x,T(y,z) * u) = K(x,y * (K(z,y) * u)). K(x,y * (K(z,y) * u)) = K(x,T(y,z) * u). K(x,(y / T(z,y)) * (K(z,y / T(z,y)) * u)) = K(x,(z \ T(y,z)) * u). K(x,(y / z) * u) = K(x,T(z \ y,z) * u). K(x,T(y \ z,y) * u) = K(x,(z / y) * u). K(x,T(y / z,y) * (K(u,z \ y) * w)) = K(x,T(T(y / z,y),u) * w). L(K(x,T(y,z) * u),w,v5) = K(x,L(y * (K(z,y) * u),w,v5)). K(x,L(y * (K(z,y) * u),w,v5)) = L(K(x,T(y,z) * u),w,v5). x != K(y,T(z / u,z) * w) | x = K(y,(u \ z) * w). K(x,T(T(y / z,y),u) * w) = K(x,(z \ y) * (K(u,z \ y) * w)). K(x,(y \ z) * (K(u,y \ z) * w)) = K(x,T(T(z / y,z),u) * w). x != K(y,z * (K(u,z) * w)) | x = K(y,T(z,u) * w). K(x,T(T(y / z,y),u) * w) = K(x,T(z \ y,u) * w). K(x,T((y \ 1) * z,y) * u) = K(x,(L(z,y \ 1,y) / y) * u). K(x,(L(y,z \ 1,z) / z) * u) = K(x,T((z \ 1) * y,z) * u). K(x,(((y \ z) \ z) \ z) * u) = K(x,(z / y) * u). x != K(y,((z \ u) \ u) * w) | x = K(y,T(z,u) * w). K(x,(y / z) * u) = K(x,T(z \ y,y) * u). K(x,T(y \ z,z) * u) = K(x,(z / y) * u). K(x,T(y,z) * u) = K(x,(z / (z / y)) * u). K(x,(y / (y / z)) * u) = K(x,T(z,y) * u). x != K(y,(z / (z / T(u / w,u))) * ((w \ u) \ v5)) | x = K(y,K(u \ (w * z),w \ u) * v5). K(x,T(T(y / z,y),u) * ((z \ y) \ w)) = K(x,K(y \ (z * u),z \ y) * w). x != K(y,T(T(z / u,z),w) * v5) | x = K(y,T(u \ z,w) * v5). K(x,K(y \ (z * u),z \ y) * w) = K(x,T(z \ y,u) * ((z \ y) \ w)). K(x,K(y \ (z * u),z \ y) * w) = K(x,K(z \ y,u) * w). K(x,y * K(z \ (u * w),u \ z)) = K(x,K(u \ z,w) * y). K(x * (y / z),u) = K(x * ((y / T(z,w)) * K(w,z)),u). K(x * ((y / T(z,u)) * K(u,z)),w) = K(x * (y / z),w). K(x * (y \ T(z,u)),w) = K(x * ((y \ z) * K(u,z)),w). K(x * ((y \ z) * K(u,z)),w) = K(x * (y \ T(z,u)),w). K(x,T(y,(z * u) \ w)) != v5 | K(x,T(y,u \ (z \ w))) = v5. K((x * (y \ 1)) \ z,T(u,y \ x)) != w | K(z / (x * (y \ 1)),u) = w. K(x,y * z) = K(x,z * T(y,y * (x * z))). K(x,y * T(z,z * (x * y))) = K(x,z * y). K(x,y * T(z,x * y)) = K(x,z * y). K(x,y * z) * x = T(x,z * T(y,x * z)). T(x,y * T(z,x * y)) = K(x,z * y) * x. T(x,y * 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)). T(x,y * K(z,u)) \ T(y * T(T(x,K(z,u)),y * K(z,u)),K(u,z)) = T(y,x * K(z,u)). T(x,y * K(z,u)) \ T(y * T(T(x,K(z,u)),y * K(z,u)),K(z,u)) = T(y,x * K(z,u)). T(x,y * K(z,u)) \ (T(x,K(z,u)) * T(y,K(z,u))) = T(y,x * K(z,u)). 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)). K(x,y) \ T(z * K(x,T(y,u \ w)),(u \ 1) * w) = T(z,(u \ w) * K(x,y)). x * y != T(z,(u \ w) \ 1) | x \ T(z,w \ u) = y. K(x,y) \ T(z * K(x,T(y,(u \ w) \ 1)),w \ u) = T(z,((u \ w) \ 1) * K(x,y)). T(x * K(y,z / u),z) = K(y,u \ z) * T(x,z * K(y,u \ z)). K(x,y \ z) * T(u,z * K(x,y \ z)) = T(u * K(x,z / y),z). (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) = R(y,K(z,u),x). T(x * K(y,z),a(u,w,v5)) = K(y,z) * T(x,a(u,w,v5) * K(y,z)). K(x,y) * T(z,a(u,w,v5) * K(x,y)) = T(z * K(x,y),a(u,w,v5)). K(x,y) \ T(z * K(x,T(y,u \ w)),u \ w) = T(z,((w \ u) \ 1) * K(x,y)). K(x,y) \ T(z * K(x,T(y,u * w)),u \ w) = T(z,((w \ u) \ 1) * K(x,y)). K(x,y) \ T(z * K(x,T(y,u * w)),(u \ 1) * w) = T(z,(u \ w) * K(x,y)). K(x,y) \ T(z * K(x,T(y,u * w)),u \ w) = T(z,(u \ w) * K(x,y)). x != K(y,z) \ T(u * K(y,T(z,w * v5)),w \ v5) | x = T(u,((v5 \ w) \ 1) * K(y,z)). T(x,(y \ z) * K(u,w)) = T(x,((z \ y) \ 1) * K(u,w)). T(x,((y \ z) \ 1) * K(u,w)) = T(x,(z \ y) * K(u,w)). T(x,(y \ z) \ K(u,w)) = T(x,(z \ y) * K(u,w)). 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 != L(y,K(z,T(u,w)),v5) | x = L(y,K(z,u),v5). R(x,K(y,z),u) = L(x,K(y,z),u). ((K(x,y) * z) * u) / (K(x,y) * u) = L(T(z,K(x,y)),K(x,y),u). x / (K(y,z) * u) = L((x / u) * K(z,y),K(y,z),u). L((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). L(x,K(y,z),u) * (u * K(y,z)) = (x * K(y,z)) * T(u,K(y,z)). (x * K(y,z)) * (u / (K(y,z) * x)) = x * (K(y,z) * ((u / x) * K(z,y))). L((x / K(y \ K(z,u),y)) * K(u,z),K(z,u),K(y \ K(z,u),y)) = x / ((y \ K(z,u)) * y). L((x / y) * K(z,K(u,w)),K(w,K(z,u)),y) = x / (K(w,K(z,u)) * y). (K(x,y) * z) * (u / (K(x,y) * z)) = z * (T(K(x,y),z) * ((u / z) * K(y,x))). x * (T(K(y,z),x) * ((u / x) * K(z,y))) = (K(y,z) * x) * (u / (K(y,z) * x)). K(x,y \ (T(z,u) * u)) = K(x,y \ (u * z)). x / (K(y,z \ (u * w)) * x) = K(z \ (T(w,u) * u),y). K(x \ (T(y,z) * z),u) = w / (K(u,x \ (z * y)) * w). K(x \ (T(y,z) * z),u) != w | K(x \ (z * y),u) = w. x \ ((K(y,K(L(z,u,x),u * x)) * w) / (((u * x) * K(y,L(z,u,x))) \ w)) = T(K(y,z) * u,x). x \ ((K(y,K(z,u * x)) * w) / (((u * x) * K(y,L(z,u,x))) \ w)) = T(K(y,z) * u,x). x \ ((K(y,K(z,u * x)) * w) / ((x * (T(u,x) * K(y,z))) \ w)) = T(K(y,z) * u,x). x \ (K(y,K(z,u * x)) * (w / ((x * (T(u,x) * K(y,z))) \ w))) = T(K(y,z) * u,x). x \ (K(y,K(z,u * x)) * (x * (T(u,x) * K(y,z)))) = T(K(y,z) * u,x). x \ (x * (T(y,x) * K(z,T(u,y * x)))) = T(K(z,u) * y,x). T(x,y) * K(z,T(u,x * y)) = T(K(z,u) * x,y). T(x,(y \ z) \ 1) \ T(K(u,w) * x,z \ y) = K(u,T(w,x * ((y \ z) \ 1))). T(x,y) \ T(K(z,u) * x,y) != w | w = K(z,T(u,x * y)). T(x,y) \ T(K(z,u) * x,y) != w | K(z,T(u,x * y)) = w. T(x,y) * K(z,u) = T(K(z,T(u,x * y)) * x,y). T(K(x,T(y,z * u)) * z,u) = T(z,u) * K(x,y). T(x,y) * K(z,T(u,y * x)) = T(K(z,u) * x,y). T(x,y \ z) \ T(K(u,w) * x,y \ z) = K(u,T(w,x * ((z \ y) \ 1))). K(x,T(y,z * (u \ w))) = K(x,T(y,z * ((w \ u) \ 1))). K(x,T(y,z * ((u \ w) \ 1))) = K(x,T(y,z * (w \ u))). 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,v5 \ (w / u))). K(x,T(y,z * (u \ w))) = K(x,T(y,z \ (u / w))). K(x,T(y,z \ (u / w))) = K(x,T(y,z * (u \ w))). K(x,T(y,(z * u) \ w)) = K(x,T(y,z * (w \ u))). T(x,T(y,L((z / u) / w,w,u))) = (x * v5) / (K(y,T(x,w * (z \ u))) * v5). x != (y * z) / (K(u,T(y,w)) * z) | x = T(y,T(u,w)). T(x,T(y,L((z / u) / w,w,u))) = T(x,T(y,w * (z \ u))). T(x,T(y,z / (u * w))) = T(x,T(y,u * (z \ w))). T(x,T(y,(z * u) \ w)) = T(x,T(y,z * (w \ u))). T(x,T(y,(z * u) * w)) = T(x,T(y,z * (w \ u))). x != T(y,T(z,(u * w) \ v5)) | x = T(y,T(z,w \ (u \ v5))). T(x,T(y,z * (u \ w))) = T(x,T(y,w \ (z \ u))). T(x,T(y,z \ (u \ w))) = T(x,T(y,u * (w \ z))). T(x,T(y,(z \ u) \ w)) = T(x,T(y,z * (u \ w))). T(x,T(y,z * (u \ w))) != v5 | T(x,T(y,(z \ u) * w)) = v5. x * y != T(z * (u / z),w) | (z * (T(u,w) / z)) / y = x. (K(x,y) * (T(z,u) / K(x,y))) / K(x,T(y,u * (z / K(x,y)))) = T(z / K(x,y),u). T(T(x,y),K(z,u)) / K(z,T(u,y * (x / K(z,u)))) = T(x / K(z,u),y). T(T(x,y),K(z,u)) / K(z,T(u,y * (x * K(u,z)))) = T(x / K(z,u),y). T(T(x,y),K(z,u)) / K(z,T(u,y * x)) = T(x / K(z,u),y). T(T(x,y),K(z,u)) * K(u,T(z,y * x)) = T(x / K(z,u),y). K(x,T(y,z * u)) * T(u,z) = T(u / K(y,x),z). K(x,T(y,z * u)) * T(u,z) = T(u * K(x,y),z). K(x,y) * T(z,u) = T(z * K(x,T(y,u * z)),u). T(x * K(y,T(z,u * x)),u) = K(y,z) * T(x,u). T(x,T(y * K(z,u),w)) = T(x,K(z,u) * T(y,w)). T(x,K(y,z) * T(u,w)) = T(x,T(u * K(y,z),w)). T(x,T(y,z) * K(u,w)) = T(x,T(y * K(u,w),z)). T(x,(y * z) * (u / (z * y))) = T(x,T(u,y * z) * K(y,z)). T(x,T(y,z * u) * K(z,u)) = T(x,(z * u) * (y / (u * z))). T(x,((y * z) \ u) * (z * y)) = T(x,(y * z) * (u / (z * y))). x != T(y,(z * u) * (w / (u * z))) | x = T(y,K(z,u) * T(w,u * z)). T(x,((y * z) \ u) * (z * y)) = T(x,K(y,z) * T(u,z * y)). K(x * ((K(y,z) * u) / T(w,K(z,y) * T(u,y * z))),v5) = K(x * (w \ ((y * z) * ((z * y) \ u))),v5). K(x * ((K(y,z) * u) / T(w,u)),v5) = K(x * (w \ ((y * z) * ((z * y) \ u))),v5). K(x * (y \ ((z * u) * ((u * z) \ w))),v5) = K(x * ((K(z,u) * w) / T(y,w)),v5). K(x * (y \ (K(z,u) * w)),v5) = K(x * ((K(z,u) * w) / T(y,w)),v5). K(x * ((K(y,z) * u) / T(w,u)),v5) = K(x * (w \ (K(y,z) * u)),v5). x != K(y * ((K(z,u) * w) / v5),v6) | x = K(y * (K(z,u) * (w / v5)),v6). K(x * (y \ (K(z,u) * w)),v5) = K(x * (K(z,u) * (w / T(y,w))),v5). K(x * (K(y,z) * (u / T(w,u))),v5) = K(x * (w \ (K(y,z) * u)),v5). x != K(y * (z * (u / T(w,u))),v5) | x = K(y * (z * (w \ u)),v5). K(x * (y \ (K(z,u) * w)),v5) = K(x * (K(z,u) * (y \ w)),v5). ((x / y) * z) \ (x / y) = ((y \ x) * z) \ (y \ x). K(x,(y * z) \ u) * K(u / (y * z),x) != w | K(x,K((y * z) \ u,z * y)) = w. K((x * (1 / y)) \ z,T(u,y \ x)) = K(z / (x * (1 / y)),u). x != K((y * (1 / z)) \ u,w) | x = K((y * (z \ 1)) \ u,w). K(x / (y * (1 / z)),u) = K((y * (z \ 1)) \ x,T(u,z \ y)). K((x * (y \ 1)) \ z,T(u,y \ x)) = K(z / (x * (1 / y)),u). K(x / (y * (1 / z)),u) != w | K(x / (y * (z \ 1)),u) = w. x != K((y \ z) * K(u,z),w) | x = K(y \ T(z,u),w). K(x \ y,T(x,z)) = K(x \ T(y,z),x). K(x \ T(y,z),x) = K(x \ y,T(x,z)). x != K(y,z / u) | x = z / (u * T(u \ z,y)). K((x / y) \ z,T(x / y,u)) = x / (y * T(y \ x,(x / y) \ T(z,u))). x / (y * T(y \ x,(x / y) \ T(z,u))) = K((x / y) \ z,T(x / y,u)). K((x \ y) \ z,T(x \ y,u)) = K(y \ (x * T(z,u)),x \ y). K(x \ (y * T(z,u)),y \ x) = K((y \ x) \ z,T(y \ x,u)). x * y != K(z \ T(u,w),z) | x \ K(z \ u,T(z,w)) = y. K(x,K((y * x) \ T(z,u),y)) \ K((y * x) \ z,T(y * x,u)) = K((y * x) \ T(z,u),x * y). K(R(x / y,y,x \ z) \ T(z,u),R(x / y,y,x \ z)) = K(y * (x \ z),T(R(x / y,y,x \ z),u)). x != K((y / z) \ u,T(y / z,w)) | x = K((z \ y) \ u,T(y / z,w)). x / (y * T(y \ x,(x / y) \ T(z,u))) = K((y \ x) \ z,T(x / y,u)). x / (y * T(y \ x,x \ (y * T(z,u)))) = K((y \ x) \ z,T(x / y,u)). K((x \ y) \ z,T(y / x,u)) != w | K(y \ (x * T(z,u)),y / x) = w. x != K((y \ z) \ u,T(y \ z,w)) | x = K(z \ (y * u),T(y \ z,w)). K(x \ (y * T(z,u)),y \ x) = K(x \ (y * z),T(y \ x,u)). K(x \ (K(y,z) * (u * ((u * y) / u))),u \ x) = K((u \ x) \ (y * K(u,y)),T(u \ x,z)). K(x \ (y * T(z,u)),y \ x) != w | K(x \ (y * z),T(y \ x,u)) = w. 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,y * T(z,(u \ w) \ v5)) = K(x,y * T(z,w \ (u * v5))). x != K(y \ z,y) | x = K(T(y,u) \ z,y). K(x * (y \ z),L(y * (x \ 1),x \ 1,y)) = K(T(y * (x \ 1),u) \ z,y * (x \ 1)). K(T(x * (y \ 1),z) \ u,x * (y \ 1)) = K(y * (x \ u),L(x * (y \ 1),y \ 1,x)). x != K(y,L(z * u,u,z)) | x = K(y,z * u). K(T(x * (y \ 1),z) \ u,x * (y \ 1)) = K(y * (x \ u),x * (y \ 1)). x != K(y,z * (u \ 1)) | x = K(y,z / u). K(T(x * (y \ 1),z) \ u,x * (y \ 1)) = K(y * (x \ u),x / y). K((x * (y \ 1)) \ z,x / y) = K(y * (x \ z),x / y). K(x / (y * (z \ 1)),y / z) = K(z * (y \ x),y / z). x != K(y \ (z * K(u,z)),w) | x = K(y \ T(z,u),w). K(x \ (K(y,z) * (u * ((u * y) / u))),u \ x) = K((u \ x) \ T(y,u),T(u \ x,z)). x != K(y \ T(z,u),T(y,w)) | x = K(y \ z,T(T(y,u),w)). K(x \ (K(y,z) * (u * ((u * y) / u))),u \ x) = K((u \ x) \ y,T(T(u \ x,u),z)). x != K(y,T(T(z \ u,z),w)) | x = K(y,T(u / z,w)). K(x \ (K(y,z) * (u * ((u * y) / u))),u \ x) = K((u \ x) \ y,T(x / u,z)). K(x \ (y * T(z * K(y,z),u)),y \ x) = K((y \ x) \ z,T(x / y,u)). K(x \ (y * (z * K(y,z))),T(y \ x,u)) = K((y \ x) \ z,T(x / y,u)). K(x \ (T(y,z) * z),T(y \ x,u)) = K((y \ x) \ z,T(x / y,u)). K(x \ (y * z),T(z \ x,u)) = K((z \ x) \ y,T(x / z,u)). K((x \ y) \ z,T(y / x,u)) = K(y \ (z * x),T(x \ y,u)). K(x \ (y * T(z,u)),x / y) = K(x \ (z * y),T(y \ x,u)). x * y != K(z \ (u * T(w,v5)),u \ z) | x \ K(z \ (u * w),T(u \ z,v5)) = y. K(x,K(x \ (y * T(z,u)),y)) \ K(x \ (y * z),T(y \ x,u)) = K(x \ (y * T(z,u)),x / y). K(x,K(y,y * T(z,u))) \ K(x \ (y * z),T(y \ x,u)) = K(x \ (y * T(z,u)),x / y). K(x,K(y,T(z,u))) \ K(x \ (y * z),T(y \ x,u)) = K(x \ (y * T(z,u)),x / y). K(x,K(y,z)) \ K(x \ (y * z),T(y \ x,u)) = K(x \ (y * T(z,u)),x / y). K(x,K(y,z)) * K(x \ (y * z),T(y \ x,u)) = K(x \ (y * T(z,u)),x / y). x != K(y,K(z,u)) * K(w,T(v5,v6)) | x = T(K(w,v5) * K(y,K(z,u)),v6). K(x \ (y * T(z,u)),x / y) = T(K(x \ (y * z),y \ x) * K(x,K(y,z)),u). T(K(x \ (y * z),y \ x) * K(x,K(y,z)),u) = K(x \ (y * T(z,u)),x / y). T(K(x \ (y * z),x / y),u) = K(x \ (y * T(z,u)),x / y). K(x \ (y * T(z,u)),x / y) != w | K(x \ (y * z),T(x / y,u)) = w. K(x \ (y * z),T(z \ x,u)) != w | K(x \ (z * y),T(x / z,u)) = w. L(x * K(y,K(z,u)),w * K(y,K(z,u)),v5) = (v5 * (w * K(y,K(z,u)))) \ (v5 * (w * x)). x != L(y,z * K(u,K(w,v5)),v6) | x = L(y,z,v6). (x * (y * K(z,K(u,w)))) \ (x * (y * v5)) = L(v5 * K(z,K(u,w)),y,x). K(x,K(y,z)) * ((u * w) \ (u * (w * v5))) = L(v5 * K(x,K(y,z)),w,u). K(x,K(y,z)) * L(u,w,v5) = L(u * K(x,K(y,z)),w,v5). L(x,y,z) * K(u,K(w,v5)) = L(x * K(u,K(w,v5)),y,z). K(x,K(y,z)) * K(u,L(w,v5,v6)) = L(K(u,w) * K(x,K(y,z)),v5,v6). K(x,L(y * K(z,K(u,w)),v5,v6)) = K(x,L(y,v5,v6)). K(x,L(y \ K(z,T(u,w)),v5,v6)) = K(x,L(y \ K(z,u),v5,v6)). x != K(y,L((z / u) \ K(w,T(T(v5,u),v6)),z / u,u)) | x = K(y,T((u * K(w,T(v5,v6))) / z,u \ z)). K(x,L((y / z) \ K(u,T(w,z)),y / z,z)) = K(x,T((z * K(u,T(w,v5))) / y,z \ y)). K(x,T((y * K(z,T(u,w))) / v5,y \ v5)) = K(x,L((v5 / y) \ K(z,T(u,y)),v5 / y,y)). K(x,T((y * K(z,T(u,w))) / v5,y \ v5)) = K(x,(y * (v5 / y)) \ (K(z,u) * y)). K(x,L(y,z,u)) * K(w,K(v5,v6)) = L(K(x,y) * K(w,K(v5,v6)),z,u). K((x * (y \ z)) * K(z,u),R(y / x,x,y \ z)) = K(x * (y \ z),T(R(y / x,x,y \ z),u)). K((x * (y \ z)) * K(z,u),L(y / x,x,y \ z)) = K(x * (y \ z),T(R(y / x,x,y \ z),u)). x != K((y * z) * K(u,w),v5) | x = K(y * (z * K(w,u)),v5). K(x * (y \ z),T(R(y / x,x,y \ z),u)) = K(x * ((y \ z) * K(u,z)),L(y / x,x,y \ z)). K(x * ((y \ z) * K(u,z)),L(y / x,x,y \ z)) = K(x * (y \ z),T(R(y / x,x,y \ z),u)). T(x * K(y,K(z,u)),y * K(u,z)) = y \ T(x * y,K(z,u)). T(L(x * K(y,x),z,u) * K(y,K(w,v5)),y * K(v5,w)) = y \ T(y * L(x,z,u),K(w,v5)). T(L((x * K(y,x)) * K(y,K(z,u)),w,v5),y * K(u,z)) = y \ T(y * L(x,w,v5),K(z,u)). T(L(x * (K(y,x) * K(y,K(z,u))),w,v5),y * K(u,z)) = y \ T(y * L(x,w,v5),K(z,u)). T(L((x * y) / T(x,K(z,u)),w,v5),x * K(u,z)) = x \ T(x * L(y,w,v5),K(z,u)). x \ T(x * L(y,z,u),K(w,v5)) = L(T((x * y) / T(x,K(w,v5)),x * K(v5,w)),z,u). L(T((x * y) / T(x,K(z,u)),x * K(u,z)),w,v5) = x \ T(x * L(y,w,v5),K(z,u)). L(x \ T(x * y,K(z,u)),w,v5) = x \ T(x * L(y,w,v5),K(z,u)). x \ T(x * L(y,z,u),K(w,v5)) = L(x \ T(x * y,K(w,v5)),z,u). L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = w \ ((w * u) * L(z \ T(z * (u \ 1),K(x,y)),u,w)). L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = w \ (w * (u * (z \ T(z * (u \ 1),K(x,y))))). L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = w \ (w * K((u * (z \ 1)) \ 1,K(x,y))). L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = w \ (w * K(x,K(y,u * (z \ 1)))). L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = w \ (w * K(x,K(y,z \ u))). L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = K(x,K(y,z \ u)). K(x,K(y,z * L(u \ 1,u,w))) = K(x,K(y,z \ u)). K(x,K(y,z * (u \ (u / w)))) = K(x,K(y,z \ w)). K(x,K(y,(z \ (z / u)) * w)) = K(x,K(y,w \ u)). K(x,K(y,(z \ u) * w)) = K(x,K(y,w \ (u \ z))). K(x,K(y,z \ (u \ w))) = K(x,K(y,(w \ u) * z)). K(x,K(y,z \ (u \ w))) = K(x,K(y,(w \ T(z,v5)) * u)). K(x,K(y,(z \ T(u,w)) * v5)) = K(x,K(y,u \ (v5 \ z))). K(x,K(y,z \ u)) = K(x,K(z \ u,(u \ z) * y)). K(x,K(y \ z,(z \ y) * u)) = K(x,K(u,y \ z)). K(x,K(y,z * (u \ w))) = K(x,K(y,w \ (z \ u))). K(x,K(y,z \ (u \ w))) = K(x,K(y,u * (w \ z))). x * K(y,K(x,z * (u \ w))) = T(x,K(y,w \ (z \ u))). T(x,K(y,z \ (u \ w))) != v5 | T(x,K(y,u * (w \ z))) = v5. T(x,K(y,z * (u \ w))) = T(x,K(y,u \ (z * w))). T(x,K(y,z \ (u * w))) = T(x,K(y,u * (z \ w))). T(x,K(y,z * (u \ w))) = T(x,K(y,(z \ u) \ w)). T(x,K(y,(z \ u) \ w)) = T(x,K(y,z * (u \ w))). T(x,K(y,z \ (u * w))) != v5 | T(x,K(y,u * (z \ w))) = v5. x \ T(y * T(x,K(z,u * (w \ v5))),K(z,(u \ w) \ v5)) = T(y,K((u \ w) \ v5,z) * x). x \ T(y * T(x,K(z,u * (w \ v5))),K(z,u * (w \ v5))) = T(y,K((u \ w) \ v5,z) * x). T(x,K(y * (z \ u),w) * v5) = T(x,K((y \ z) \ u,w) * v5). T(x,K((y \ z) \ u,w) * v5) = T(x,K(y * (z \ u),w) * v5). T(x,K(y,(z * u) * w)) = T(x,K(y,z * (w \ u))). T(x,K((y \ z) * u,T(z \ y,w))) = K(x,K(u,z \ y)) * x. T(x,K((y \ z) * u,T(z \ y,w))) = T(x,K(u,z \ y)). x \ T(y * T(x,K(z,u \ w)),K(T(w \ u,v5) * z,T(u \ w,v6))) = T(y,K(T(u \ w,v6),T(w \ u,v5) * z) * x). K((x \ 1) \ y,z) != u | K(x * y,z) = u. K((1 / x) \ y,z) != u | K(x * y,z) = u. x * y != (z * K(z * (u \ w),w \ u)) \ v5 | T(x,y) = y \ (K(w \ u,(u \ w) * z) * (z \ v5)). T(K(x,(y * K(y * (z \ u),u \ z)) \ w),(y * K(y * (z \ u),u \ z)) \ x) = ((y * K(y * (z \ u),u \ z)) \ x) \ (K(u \ z,(z \ u) * y) * (y \ T(x,w / (y * K(y * (z \ u),u \ z))))). ((x * K(x * (y \ z),z \ y)) \ u) \ (K(z \ y,(y \ z) * x) * (x \ T(u,w / (x * K(x * (y \ z),z \ y))))) = T(K(u,(x * K(x * (y \ z),z \ y)) \ w),(x * K(x * (y \ z),z \ y)) \ u). ((x * K(x * (y \ z),z \ y)) \ u) \ (K(z \ y,(y \ z) * x) * (x \ T(u,w / (x * K(x * (y \ z),z \ y))))) = T(K(u,K(z \ y,(y \ z) * x) * (x \ w)),(x * K(x * (y \ z),z \ y)) \ u). K(x,T(y,z * (u * K(w,v5)))) = K(x,T(y,u * z)). K((x * (y * K(z,u))) \ w,v5) = K(w / (x * (y * K(z,u))),T(v5,y * x)). K(x / (y * (z * K(u,w))),T(v5,z * y)) = K((y * (z * K(u,w))) \ x,v5). K(x / (y * (z * K(u,w))),T(v5,y * z)) = K((y * (z * K(u,w))) \ x,v5). K(x / y,T(y,z) * u) = K(y \ x,u * T(y,z)). K(x,y * K(z,z \ u)) = K(x,y * K(u,z)). K(x,y * K(z,u)) != w | K(x,y * K(u \ z,u)) = w. R(x,y,y \ 1) * (z / R(x,y,y \ 1)) = z * K(x,x \ z). R(x,y,y \ 1) * (z / R(x,y,y \ 1)) = x * (z / x). (x * (y \ 1)) * (z / R(x / y,y,y \ 1)) = (x / y) * (z / (x / y)). (x * (y \ 1)) * (z / (x * (y \ 1))) = (x / y) * (z / (x / y)). T(x,y) / T(z,K(x,u)) = T(T(x,y) / z,K(u,x)). T(x,y) / T(z,K(x,u)) = T(T(x,y) / z,K(x,u)). (x * K(y,z)) / T(u,K(K(y,z) * x,w)) = T(T(K(y,z) * x,K(y,z)) / u,K(K(y,z) * x,w)). T(T(K(x,y) * z,K(x,y)) / u,K(K(x,y) * z,w)) = (z * K(x,y)) / T(u,K(K(x,y) * z,w)). T(T(K(x,y) * z,K(x,y)) / u,K(K(x,y) * z,w)) = (z * K(x,y)) / T(u,K(w,z)). T(T(K(x,y) * z,K(x,y)) / u,K(K(x,y) * z,w)) = (z * K(x,y)) / T(u,K(z,w)). T((x * K(y,z)) / u,K(K(y,z) * x,w)) = (x * K(y,z)) / T(u,K(x,w)). x != T(y,K(K(z,u) * w,v5)) | x = T(y,K(v5,w)). (x * K(y,z)) / T(u,K(x,w)) = T((x * K(y,z)) / u,K(w,x)). (x * K(y,z)) / T(u,K(x,w)) = T((x * K(y,z)) / u,K(x,w)). K((x * K(y,z)) \ u,w) = K(x \ (K(z,y) * u),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). K(L((x / K(y,L(z,u / z,w))) / (w * u),w * u,K(y,L(z,u / z,w))),v5) = K(x / (w * (u * K(y,z))),v5). ((x * y) / x) / ((x * (y * K(z / (u * w),y))) / x) = K(y,T(L((z / w) / u,u,w),x)). K(x,T(L((y / z) / u,u,z),w)) = ((w * x) / w) / ((w * (x * K(y / (u * z),x))) / w). K(L((x / K(y,L(z,u,w))) / (w * u),w * u,K(y,L(z,u / z,w))),v5) = K(x / (w * (u * K(y,z))),v5). K(L((x * K(L(y,z,u),w)) / (u * z),u * z,K(w,L(y,z / y,u))),v5) = K(x / (u * (z * K(w,y))),v5). K(L((x * K(y,L(z,u,w))) / (w * u),w * u,K(z,L(y,u / y,w))),v5) = K(x / (w * (u * K(z,y))),v5). K((x * K(y,L(z,u,w))) / (w * u),v5) = K(x / (w * (u * K(z,y))),v5). K(x,(T(y,z) * z) * (u \ 1)) = K(x,(z * y) / u). K(x,(T(T(y,z),u) * z) * w) = K(x,(z * T(y,u)) * w). K(x,((y \ z) * y) * u) = K(x,(y * (z / y)) * u). K(x * ((y \ z) * y),u) != w | K(x * T(z,y),u) = w. K((x \ 1) * T(y,z),u) = K(x \ ((z \ y) * z),u). K(x \ ((y \ z) * y),u) = K((x \ 1) * T(z,y),u). K(x * (y * (z / y)),u) != w | K(x * T(z,y),u) = w. K((x \ 1) * T(y,z),u) = K(x \ (z * (y / z)),u). K(x \ (y * (z / y)),u) = K((x \ 1) * T(z,y),u). K(x \ (y * (z / y)),u) = K(x \ T(z,y),u). K(x,T((y \ 1) \ 1,z) * u) != w | K(x,T(y,z) * u) = w. x != K(y,T(z * u,z) \ w) | x = K(y,(u * z) \ w). K(x,(y * ((y * 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). x != K(y,(z * T(u * w,u)) \ v5) | x = K(y,(z * (w * u)) \ v5). K(x,(T(y * z,y) * u) \ w) = K(x,(T(u,T(y * z,y)) * (z * y)) \ w). K(x,(T(y,T(z * u,z)) * (u * z)) \ w) = K(x,(T(z * u,z) * y) \ w). (T(x,y) * y) * (z / (T(x,y) * y)) = z * K(y * x,(y * x) \ z). (T(x,y) * y) * (z / (T(x,y) * y)) != u | (y * x) * (z / (y * x)) = u. K(x,K(y,z) * (u * y)) = K(x,u * ((z \ y) * 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)) != w | K(x,y * T(u,z)) = w. K(x,y * ((z / u) * K(u \ 1,z))) = K(x,y * T(z / u,z)). K(x,K(y,z)) * K(x,z * T(y,u)) = K(x,((u \ y) * u) * z). K(x,((y \ z) * y) * u) = K(x,K(z,u)) * K(x,u * T(z,y)). x != K(y,K(z,u)) * K(y,u * T(z,w)) | x = K(y,T(z,w) * u). K(x,((y \ z) * y) * u) = K(x,T(z,y) * u). K(x,((y \ z) * y) * u) != w | K(x,T(z,y) * u) = w. x != K(y,((z \ u) * z) * w) | x = K(y,(z * (u / z)) * w). K(x,T(y,z) * u) = K(x,(z * (y / z)) * u). K(x,(y * (z / y)) * u) = K(x,T(z,y) * u). K(x,(y * z) * u) = K(x,T(z * y,z) * u). K(x,T(y * z,y) * u) = K(x,(z * y) * u). K(x,(((y \ 1) \ z) * (y \ 1)) * u) = K(x,T(z,y * z) * u). K(x,T(y,z * y) * u) = K(x,(((z \ 1) \ y) * (z \ 1)) * u). x != K(y,((z \ u) * z) * w) | x = K(y,T(u,z) * w). K(x,T(y,z * y) * u) = K(x,T(y,z \ 1) * u). K(x,T(y,z \ 1) * u) = K(x,T(y,z * y) * u). K(x,T(y,z \ 1) * u) = K(x,T(y,y * z) * 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 != T(y,K(z,z * u)) | x = z * T(z \ y,K(z,u)). K(x,y) * T(z,K(u,w / T(u,v5))) = u * T(u \ (K(x,y) * z),K(u,w)). K(x,y) * T(z,K(y,u / T(y,w))) = y * T(L(T(y,x) \ z,T(v5,v6),K(v7,v5)),K(y,u)). K(x,y) * T(z,K(y,u / T(y,w))) = y * L(T(T(y,x) \ z,K(y,u)),T(v5,v6),K(v7,v5)). T(x,y) * T(T(x,y) \ z,K(x,u)) = T(z,K(x,u / T(x,w))). T(x,K(y,z / T(y,u))) = T(y,w) * T(T(y,w) \ x,K(y,z)). x * y != T(z,K(u,w / T(u,v5))) | x \ T(z,K(u,u * w)) = y. T(x,y) \ T(z,K(x,x * u)) = T(T(x,y) \ z,K(x,u)). T(x,y) \ T(z,K(x,u)) = T(T(x,y) \ z,K(x,u)). (x * K(y,z)) \ T(u,K(K(y,z) * x,w)) = T(T(K(y,z) * x,K(y,z)) \ u,K(K(y,z) * x,w)). T(T(K(x,y) * z,K(x,y)) \ u,K(K(x,y) * z,w)) = (z * K(x,y)) \ T(u,K(K(x,y) * z,w)). T(T(K(x,y) * z,K(x,y)) \ u,K(K(x,y) * z,w)) = (z * K(x,y)) \ T(u,K(w,z)). T(T(K(x,y) * z,K(x,y)) \ u,K(K(x,y) * z,w)) = (z * K(x,y)) \ T(u,K(z,w)). T((x * K(y,z)) \ u,K(K(y,z) * x,w)) = (x * K(y,z)) \ T(u,K(x,w)). (x * K(y,z)) \ T(u,K(x,w)) = T((x * K(y,z)) \ u,K(w,x)). (x * K(y,z)) \ T(u,K(x,w)) = T((x * K(y,z)) \ u,K(x,w)). K(x,T((y * K(z,u)) / T(w,K(y,v5)),T((y * K(z,u)) \ w,K(y,v5)))) = K(x,(y * K(z,u)) / T(w,K(y,v5))). K(x,T(T((y * K(z,u)) / w,K(y,v5)),T((y * K(z,u)) \ w,K(y,v5)))) = K(x,(y * K(z,u)) / T(w,K(y,v5))). K(x,T(T((y * K(z,u)) / w,K(y,v5)),(y * K(z,u)) \ w)) = K(x,(y * K(z,u)) / T(w,K(y,v5))). K(x,T(T((y * K(z,u)) / w,K(y,v5)),K(z,u) \ (y \ w))) = K(x,(y * K(z,u)) / T(w,K(y,v5))). K(x,T(T((y * K(z,u)) / w,K(y,v5)),y \ w)) = K(x,(y * K(z,u)) / T(w,K(y,v5))). K(x,T((y * K(z,u)) / w,y \ w)) = K(x,(y * K(z,u)) / T(w,K(y,v5))). K(x,T((y * K(z,u)) / w,y \ w)) != v5 | K(x,(y * K(z,u)) / w) = v5. K(x,(y * K(z,T(u,w))) / v5) = K(x,(y * (v5 / y)) \ (K(z,u) * y)). K(x,(y * (z / y)) \ (K(u,w) * y)) = K(x,(y * K(u,T(w,v5))) / z). K(x,(y * (z / y)) \ (K(u,w) * y)) = K(x,(y * K(u,w)) / z). K(x * ((y * x) \ z),y * x) = K(y \ z,y * x). K((x * y) \ z,x * y) = K(x \ (y \ z),x * y). x != K((y * z) \ u,y * z) | x = K((z * y) \ u,y * z). K(x \ (y \ z),x * y) = K((y * x) \ z,x * y). K((x * y) \ z,y * x) = K(y \ (x \ z),y * x). x * K(y \ (z \ x),y * z) = ((y * z) \ x) * (y * z). K(L(x \ y,x,z / y),(z / y) * x) = K((z / y) \ (x \ z),(z / y) * x). K(x \ (y \ z),x * y) \ 1 = K(x * y,(x * y) \ z). K(x \ (y \ z),x * y) * K((x * y) \ z,K(x,y)) = K((x * y) \ z,y * x). 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,y \ (z \ x)) = (y * z) * (x / (y * z)). x * K(y * z,y \ (z \ x)) != u | (y * z) * (x / (y * z)) = u. x * K((y * z) * (1 / z),(1 / z) \ ((((y * z) \ y) \ y) \ x)) = ((1 / z) * (((y * z) \ y) \ y)) * (x / ((1 / z) * (((y * z) \ y) \ y))). ((1 / x) * (((y * x) \ y) \ y)) * (z / ((1 / x) * (((y * x) \ y) \ y))) = z * K((y * x) * (1 / x),(1 / x) \ ((((y * x) \ y) \ y) \ z)). x * K(y * K(z,u),K(z,u) \ (y \ x)) = (K(z,u) * y) * (x / (K(z,u) * y)). ((1 / x) * (((y * x) \ y) \ y)) * (z / ((1 / x) * (((y * x) \ y) \ y))) = z * K((y * x) * (1 / x),x * ((((y * x) \ y) \ y) \ z)). ((1 / x) * (((y * x) \ y) \ y)) * (z / ((1 / x) * (((y * x) \ y) \ y))) = z * K((y * x) * (1 / x),x * (T(y * x,y) \ z)). ((1 / x) * (((y * x) \ y) \ y)) * (z / ((1 / x) * (((y * x) \ y) \ y))) = z * K((y * x) / x,x * (T(y * x,y) \ z)). ((1 / x) * (((y * x) \ y) \ y)) * (z / ((1 / x) * (((y * x) \ y) \ y))) = z * K(y,x * (T(y * x,y) \ z)). ((1 / x) * (((y * x) \ y) \ y)) * (z / ((1 / x) * (((y * x) \ y) \ y))) = z * K(y,x * ((y * x) \ z)). ((x * y) * (1 / y)) * (z / ((1 / y) * (((x * y) \ x) \ x))) = z * K(x,y * ((x * y) \ z)). ((x * y) * (1 / y)) * (z / ((x * y) * (1 / y))) = z * K(x,y * ((x * y) \ z)). (x * (1 / y)) * (z / (((x / y) * y) * (1 / y))) = z * K(x / y,y * (((x / y) * y) \ z)). (x * (1 / y)) * (z / (x * (1 / y))) = z * K(x / y,y * (((x / y) * y) \ z)). x * K(y / z,z * (((y / z) * z) \ x)) = (y * (1 / z)) * (x / (y * (1 / z))). x * K(y / z,z * (y \ x)) = (y * (1 / z)) * (x / (y * (1 / z))). (x * (1 / y)) * (z / (x * (1 / y))) = z * K(x / y,y * (x \ z)). (x * (1 / y)) * (z / (x * (1 / y))) = z * K(y \ x,(x \ z) * y). T(x * y,z) = T(x * y,L(z,y,x)). T(x * y,L(z,y,x)) = T(x * y,z). T(x * (x \ y),y \ (x * z)) = T(x * (x \ y),(x \ y) \ z). T(x * (x \ y),(x \ y) \ z) = T(x * (x \ y),y \ (x * z)). T(x * (x \ y),(x \ y) \ z) = T(y,y \ (x * z)). T(x,(y \ x) \ z) = T(x,x \ (y * z)). x != T(y,(z \ y) \ u) | x = T(y,(y / z) \ u). T(x,x \ (y * z)) = T(x,(x / y) \ z). T(x,(x / y) \ z) = T(x,x \ (y * z)). T(x,y \ z) = T(x,x \ ((y \ x) * z)). T(x,x \ ((y \ x) * z)) = T(x,y \ z). L(x,y,T(z,u \ w)) = L(x,y,T(z,(u \ z) * w)). L(x,y,T(z,(u \ z) * w)) = L(x,y,T(z,u \ w)). K(x,L(a(y,z,u),w,v5)) != v6 | a(u,z,K(y,L(x,w,v5))) = v6. (x * K(y,z)) * K(u,w) != v5 | (K(z,y) / x) \ K(u,w) = v5. K(x,(y \ 1) * z) != u | K(x,y \ z) = u. (T(x,y) * z) \ T(x,y) != u | (x * z) \ x = u. L(x,y,T(z,u)) = L(L(x,y,K(z,u)),y,z). L(L(x,y,K(z,u)),y,z) = L(x,y,T(z,u)). K(x,L(y,z,z)) != u | K(x,y) = u. K(x \ y,L(z,x,y)) != u | K(x \ y,z) = u. K((x * y) / ((z \ x) * y),u) != w | K(z,L(u,x,y)) = w. K(x,y \ K(z,T(u,w))) != v5 | K(x,y \ K(z,u)) = v5. K(x,K(y,T(z,u)) \ w) != v5 | K(x,K(y,z) \ w) = v5. K(x,T(y,z / u)) != w | K(x,T(y,u * z)) = w. K(x,K(y,y * z) * u) != w | K(x,K(y,z) * u) = w. ((K(x,y) * z) \ u) * (z * K(x,y)) != w | ((z \ (K(y,x) * u)) * z) * K(x,y) = w. K(x,y * (z * K(u,w))) != v5 | K(x,y * (K(w \ u,w) * z)) = v5. K(x,K(y,z) * (u * w)) != v5 | K(x,u * (K(y,z) * w)) = v5. a(a(x,y,y \ 1),z,u) * ((u * z) * a(x,y,y \ 1)) != w | (a(x,y,y \ 1) * u) * z = w. K(x \ T(y,z),x) != u | K(x \ y,T(x,z)) = u. K((x * y) \ T(z,u),y * x) != w | K((y * x) \ z,T(y * x,u)) = w. (x * (K(y,z) / x)) \ 1 != u | K(x \ K(y,z),x) * K(z,y) = u. K(x,y) * (z * K(z * y,y \ 1)) = ((y \ K(y,x)) \ z) * (y \ 1). x * y != L(z,u,K(R(z,w,v5),v6)) | z / y = x. x / a(y,z,R(x,u,w)) = a(y,z,R(x,u,w)) \ x. K(x \ a(y,x,x \ 1),L(z,x,y)) = K(x \ 1,T(z,x)). T(x,K(y,(z \ u) \ w)) != v5 | T(x,K(y,u \ (z * w))) = v5. L(x,y,K(z \ (u * (w \ 1)),w)) = L(x,y,K(z \ u,w)). (x / L(T(y,z),u,K(z,w))) * y = x * K(L(z,u,w \ 1),y). (x / y) \ (x / L(T(y,z),u,K(z,w))) = K(L(z,u,w \ 1),y). (x \ y) \ (x \ L(T(y,z),u,K(z,w))) = K(y,L(z,u,w \ 1)). (x \ y) \ (x \ L(T(y,((z \ 1) \ u) \ w),w,K(((z \ 1) \ u) \ w,z))) = K(y,u \ ((z \ 1) * w)). (x \ y) \ (x \ L(T(y,(z * u) / w),v5,K((w / z) \ u,u))) = K(y,L((z * u) / w,v5,u \ 1)). (x \ y) \ (x \ L(T(y,(z * u) / w),v5,K(u,w / z))) = K(y,L((z * u) / w,v5,u \ 1)). (x / y) \ (x / L(T(y,z),u,K(z,w))) = K(z,L(y,u,w \ 1)). (a(x,y,y \ 1) \ 1) * T(z,a(x,y,y \ 1) \ 1) = a(x,y,y \ 1) \ z. (a(x,y,y \ 1) \ z) \ (z * ((a(x,y,y \ 1) \ 1) * u)) = L(u,a(x,y,y \ 1) \ 1,z). x * ((y \ (z * ((y \ z) \ 1))) \ 1) = a(y,y \ z,(y \ z) \ 1) \ x. a(x,x \ y,(x \ y) \ 1) \ z = z * ((x \ (y * ((x \ y) \ 1))) \ 1). (x \ (y * ((x \ y) \ 1))) \ z = z * ((x \ (y * ((x \ y) \ 1))) \ 1). x * ((y \ (z * ((y \ z) \ 1))) \ 1) = (y \ (z * ((y \ z) \ 1))) \ x. x * y != z \ (z * u) | x \ u = y. ((x \ (y * ((x \ y) \ 1))) * z) \ z = (x \ (y * ((x \ y) \ 1))) \ 1. (a(x,y,y \ 1) \ 1) * z = a(x,y,y \ 1) \ z. (a(x,y,y \ 1) \ 1) \ z = a(x,y,y \ 1) * z. (a(x,y,y \ 1) \ z) \ (z * (a(x,y,y \ 1) \ u)) = L(u,a(x,y,y \ 1) \ 1,z). x != a(y,z,z \ 1) * u | x = u * a(y,z,z \ 1). (a(x,y,y \ 1) \ 1) \ z = z * a(x,y,y \ 1). (a(x,1 / y,y) \ 1) \ z = a(x,1 / y,(1 / y) \ 1) * z. a(x,1 / y,(1 / y) \ 1) * z = (a(x,1 / y,y) \ 1) \ z. (1 / a(x,y,y \ 1)) \ z = a(x,y,y \ 1) * z. a(x,1 / y,(1 / y) \ 1) * z = (a(x,y \ 1,y) \ 1) \ z. a(x,1 / y,y) * z = (a(x,y \ 1,y) \ 1) \ z. (a(x,y \ 1,y) \ 1) \ z = a(x,1 / y,y) * z. (a(x,y \ 1,y) \ 1) \ z = a(x,y \ 1,y) * z. a(x,y \ 1,y) \ z = (a(x,y \ 1,y) \ 1) * z. (a(x,y \ 1,y) \ 1) * z = a(x,y \ 1,y) \ z. (a(x,y \ 1,y) \ z) / z = a(x,y \ 1,y) \ 1. T((a(x,y \ 1,y) \ z) / z,u) = a(x,y \ 1,y) \ 1. x * (a(y,z \ 1,z) \ 1) = a(y,z \ 1,z) \ x. x * (K(y,T(z,x)) * ((u / x) * K(z,y))) = (K(y,z) * x) * (u / (K(y,z) * x)). x != L(y,K(z,K(u,w)),v5) | x = y. x / (K(y,K(z,u)) * w) = (x / w) * K(z,K(u,y)). x / (K(y,K(z,u)) * w) = (x / w) * K(y,K(z,u)). x / (K(y,K(z,u)) * w) = K(y,K(z,u)) * (x / w). x / (K(y,T(z,u)) * w) = K(y,K(z,u)) * (x / (K(y,z) * w)). K(x,K(y,z)) * (u / (K(x,y) * w)) = u / (K(x,T(y,z)) * w). (x * K(y,z)) * (u / (K(y,z) * x)) = x * T(u / x,K(y,z)). L((x * K(y,y \ K(z,u))) * K(u,z),K(z,u),K(y \ K(z,u),y)) = x / ((y \ K(z,u)) * y). x * y != (z * a(u,w,w \ 1)) * T(v5,z) | x \ ((a(u,w,w \ 1) * v5) * z) = y. ((x * a(y,z,z \ 1)) * u) \ ((a(y,z,z \ 1) * u) * x) = K(u,x). x != T(a(y,z,z \ 1) * (u * K(y,u)),y) | x = a(y,z,z \ 1) * u. x \ ((a(x,y,y \ 1) * x) * z) = a(x,y,y \ 1) * z. x \ (R(x,y,y \ 1) * z) = a(x,y,y \ 1) * z. R(x,y,y \ 1) * (x \ z) = a(x,y,y \ 1) * z. a(x,y,y \ 1) \ z = R(x,y,y \ 1) \ (x * z). R(x,y,y \ 1) \ (x * z) = a(x,y,y \ 1) \ z. x * (a(x,y,y \ 1) * z) = R(x,y,y \ 1) * z. x * (a(x,y,y \ 1) * z) != u * w | (R(x,y,y \ 1) * z) / w = u. (R(x,y,y \ 1) * T(z,x * a(x,y,y \ 1))) / (x * a(x,y,y \ 1)) = L(z,a(x,y,y \ 1),x). (R(x,y,y \ 1) * T(z,R(x,y,y \ 1))) / (x * a(x,y,y \ 1)) = L(z,a(x,y,y \ 1),x). (x * R(y,z,z \ 1)) / (y * a(y,z,z \ 1)) = L(x,a(y,z,z \ 1),y). (x * R(y,z,z \ 1)) / R(y,z,z \ 1) = L(x,a(y,z,z \ 1),y). x = L(x,a(y,z,z \ 1),y). L(x,a(y,z,z \ 1),y) = x. L(x,a(y,z \ 1,z),y) = x. x != L(y \ z,y,u) | x = ((u * (y * u)) / u) \ (L(u,y,u) * z). a(x,y \ 1,y) \ z = ((x * (a(x,y \ 1,y) * x)) / x) \ (L(x,a(x,y \ 1,y),x) * z). ((x * (a(x,y \ 1,y) * x)) / x) \ (L(x,a(x,y \ 1,y),x) * z) = a(x,y \ 1,y) \ z. ((x * (x * a(x,y \ 1,y))) / x) \ (L(x,a(x,y \ 1,y),x) * z) = a(x,y \ 1,y) \ z. ((x * R(x,y \ 1,y)) / x) \ (L(x,a(x,y \ 1,y),x) * z) = a(x,y \ 1,y) \ z. R(x,y \ 1,y) \ (L(x,a(x,y \ 1,y),x) * z) = a(x,y \ 1,y) \ z. R(x,y \ 1,y) \ (x * z) = a(x,y \ 1,y) \ z. x * (R(x,y \ 1,y) \ z) = a(x,y \ 1,y) \ z. x != y * (R(y,z \ 1,z) \ (1 / z)) | x = L(z \ 1,z,y * (z \ 1)). a(x,y \ 1,y) \ (1 / y) = L(y \ 1,y,x * (y \ 1)). x * y != a(z,u \ 1,u) \ (1 / u) | x \ L(u \ 1,u,z * (u \ 1)) = y. (1 / x) \ L(x \ 1,x,y * (x \ 1)) = a(y,x \ 1,x) \ 1. L(x \ 1,x,y * (x \ 1)) * x = a(y,x \ 1,x) \ 1. L((x \ 1) \ 1,x \ 1,y) * (x \ 1) = a(y / T(x,x \ 1),(x \ 1) \ 1,x \ 1) \ 1. a(x / T(y,y \ 1),(y \ 1) \ 1,y \ 1) \ 1 = L((y \ 1) \ 1,y \ 1,x) * (y \ 1). K(L(x \ 1,x,y * (x \ 1)),x) * ((a(y,x \ 1,x) \ 1) \ z) = (x * L(x \ 1,x,y * (x \ 1))) \ z. K(x \ 1,x) * ((a(y,x \ 1,x) \ 1) \ z) = (x * L(x \ 1,x,y * (x \ 1))) \ z. K(x \ 1,x) * (a(y,x \ 1,x) * z) = (x * L(x \ 1,x,y * (x \ 1))) \ z. (x * L(x \ 1,x,y * (x \ 1))) \ z = K(x \ 1,x) * (a(y,x \ 1,x) * z). R(x,y,y \ 1) \ z = a(x,y,y \ 1) \ (x \ z). a(x,y,y \ 1) \ (x \ z) = R(x,y,y \ 1) \ z. x * y = R(x,z,z \ 1) * (a(x,z,z \ 1) \ y). R(x,y,y \ 1) * (a(x,y,y \ 1) \ z) = x * z. x * y != R(x,z,z \ 1) * (u / R(x,z,z \ 1)) | y = u / x. a(x,y,y \ 1) * (z / R(x,y,y \ 1)) = z / x. x * y != (z * u) / u | x \ z = y. a(x,y,y \ 1) \ z = (z * x) / R(x,y,y \ 1). (x * y) / R(y,z,z \ 1) = a(y,z,z \ 1) \ x. L((x \ 1) \ 1,x \ 1,x * y) = a(y,x,x \ 1) \ x. (a(x,y,y \ 1) \ y) \ ((y \ 1) \ 1) = L(y,y \ 1,y * x) \ y. (K(x,y) * K(z \ 1,u)) / (a(K(x,y) * z,w,w \ 1) \ T(z \ 1,u)) = R(K(x,y) * z,w,w \ 1). R(x,y,y \ 1) \ (x * z) != u | u = a(x,y,y \ 1) \ z. R(x,y,y \ 1) \ (x * z) != u | a(x,y,y \ 1) \ z = u. a(x,y,y \ 1) \ z = x * (R(x,y,y \ 1) \ z). x * (R(x,y,y \ 1) \ z) = a(x,y,y \ 1) \ z. x != a(y,z,z \ 1) \ u | x = (u * y) / R(y,z,z \ 1). x * (R(x,y,y \ 1) \ z) = (z * x) / R(x,y,y \ 1). (x * y) / R(y,z,z \ 1) = y * (R(y,z,z \ 1) \ x). x != y * (R(y,z,u) \ 1) | (R(y,z,u) \ y) \ x = 1. (R(x,y,y \ 1) \ x) \ (a(x,y,y \ 1) \ 1) = 1. x != y * (R(y,z,u) \ w) | x = R(y,z,u) \ (y * w). (x * y) / R(y,z,z \ 1) = R(y,z,z \ 1) \ (y * x). (x * y) / R(y,z,z \ 1) != u | a(y,z,z \ 1) \ x = u. L((x \ 1) \ 1,x \ 1,y * x) = a(y,x,x \ 1) \ x. T(x,a(y,z,z \ 1) \ z) = T(x,z). L((K(x \ y,y \ (x * z)) \ 1) \ 1,K(x \ y,y \ (x * z)) \ 1,(x \ y) * (z / (x \ y))) = a(z,K(x \ y,y \ (x * z)),K(x \ y,y \ (x * z)) \ 1) \ K(x \ y,y \ (x * z)). L((K(x \ (y * z),y \ x) * 1) \ 1,K(y \ x,x \ (y * z)) \ 1,(y \ x) * (z / (y \ x))) = a(z,K(y \ x,x \ (y * z)),K(y \ x,x \ (y * z)) \ 1) \ K(y \ x,x \ (y * z)). (x * (y * z)) \ ((x * z) * T(y,z)) != u | u = a(x,z,y). (x * (y * z)) \ ((x * z) * T(y,z)) != u | a(x,z,y) = u. a(x * K(y,z),z,y) != u | a(x,z,y) = u. a(x,y,z) = a(K(z,y) * x,y,z). a(K(x,y) * z,y,x) = a(z,y,x). a(T(x,y) \ z,x,y) = a(x \ z,x,y). ((x * K(y,z)) \ u) * (x * K(y,z)) = ((K(z,y) * (x \ u)) * K(y,z)) * T(x,K(y,z)). ((K(x,y) * (z \ u)) * K(y,x)) * T(z,K(y,x)) = ((z * K(y,x)) \ u) * (z * K(y,x)). T(x \ y,K(z,u)) * T(x,K(u,z)) = ((x * K(u,z)) \ y) * (x * K(u,z)). ((x * K(y,z)) \ u) * (x * K(y,z)) = T(x \ u,K(z,y)) * T(x,K(y,z)). ((x * K(y,z)) \ u) * (x * K(y,z)) = T(x \ u,K(z,y)) * T(x,K(z,y)). L(x,y,K(z \ 1,(u \ (z \ u)) \ y)) != w | w = x. L(x,y,K((z \ (u \ z)) \ y,u)) = x. x != L(T(y,z),u,K(z,w \ v5)) | x = T(y,L(z,u,v5 \ w)). L(T(x,y),z,K(y,u / w)) = T(x,L(y,z,u \ w)). (x \ y) \ (x \ L(T(y,(z * u) / w),v5,K(u,z \ w))) = K(y,L((z * u) / w,v5,u \ 1)). L(x,y,z * K(u,K(w,v5))) != v6 | v6 = L(x,y,z). L(x,y,z * K(u,K(w,v5))) != v6 | L(x,y,z) = v6. L(x,y,z * T(u,K(w,v5))) != v6 | L(x,y,z * u) = v6. L(x,y,T(z,K(u,w)) * v5) != v6 | L(x,y,z * v5) = v6. L(x,y,K(z,K(u,w)) * v5) != v6 | L(x,y,v5) = v6. K(K(x,x * y) * z,u) != w | K(K(x,y) * z,u) = w. x != K((y \ z) * (u * K(w,y)),v5) | x = K((T(y,w) \ z) * u,v5). K(((x / (x / y)) \ z) * u,w) = K((T(y,y \ x) \ z) * u,w). K((T(x,x \ y) \ z) * u,w) = K(((y / (y / x)) \ z) * u,w). K(x * (y / T(T(z,u),u)),w) = K(x * (y / z),w). K(x * (T(T(y,z),z) \ u),w) = K(x * (T(u,y) / y),w). K(x * (T(T(y,z),z) \ u),w) = K(x * (y \ u),w). K(x * (T(y \ z,y) \ u),w) = K(x * ((z / y) \ u),w). K(x,T(y,z \ (u \ w))) = K(x,T(y,(z * u) \ w)). K(x,T(y,(z * u) \ w)) = K(x,T(y,z \ (u \ w))). 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,w \ (z * u))) = v5. K(x,T(y,(z \ u) \ w)) != v5 | K(x,T(y,u \ (w * z))) = v5. K(L(x,y,z),T(u,w \ (v5 * v6))) = K(x,L(T(u,(v6 \ w) \ v5),y,z)). K(x,L(T(y,z \ (u * w)),v5,v6)) = K(x,L(T(y,(w \ z) \ u),v5,v6)). K(x,L(T(y,(z \ u) \ w),v5,v6)) = K(x,L(T(y,u \ (w * z)),v5,v6)). L(L(L(x,y,K(z,u)) \ 1,L(x,y,K(z,u)),y),y * L(x,y,K(z,u)),K(u,z)) = ((K(u,z) * y) * x) \ (K(u,z) * y). a(x,y,K(z,u)) * (w * z) = w * L(z,y,K(u,x)). x != y * a(z,u,K(w,v5)) | x = a(v5,u,K(z,w)) * y. x * L(y,z,K(u,w)) = a(u,z,K(w,y)) * (x * y). a(x,y,K(z,u)) * (w * u) = w * L(u,y,K(x,z)). a(x,y,K(z,u \ w)) * w = u * L(u \ w,y,K(x,z)). x * L(x \ y,z,K(u,w)) != v5 * v6 | v5 \ (a(u,z,K(w,x \ y)) * y) = v6. K(x,y) \ (a(x,z \ 1,K(y,(K(x,y) * (1 / z)) \ u)) * u) = (1 / z) * ((K(x,y) * (1 / z)) \ u). K(x,y) \ (a(x,z \ 1,K(y,(K(x,y) / z) \ u)) * u) = (1 / z) * ((K(x,y) * (1 / z)) \ u). a(x,y,K(z,y \ u)) * u = y * L(y \ u,u,K(x,z)). x != a(y,z,K(u,w)) * v5 | x = v5 * a(u,z,K(w,y)). x * L(x \ y,y,K(z,u)) = y * a(u,x,K(x \ y,z)). x * L(x \ y,y,K(x \ z,u)) = y * a(u,z,K(z \ x,x \ y)). x * L(x \ y,y,K(L(z,u \ x,u),w)) = y * a(w,u * ((u \ x) * z),K((u * ((u \ x) * z)) \ x,x \ y)). x * a(y,z * ((z \ u) * w),K((z * ((z \ u) * w)) \ u,u \ x)) = u * L(u \ x,x,K(L(w,z \ u,z),y)). x * a(y,z * ((z \ u) * w),K((z * ((z \ u) * w)) \ u,u \ x)) = u * L(u \ x,x,K(w,L(y,z \ u,z))). x != L(y,z,K(u,w)) * w | x = L(y * w,z,K(u,w)). (x * y) * a(x,z,K(u,y)) = L(x * y,z,K(u,y)). L(T(x,y),z,u) * K(w,T(v5,x)) = K(w,v5) * L(T(x,y),z,u). K(x * L(T(y,z),u,w),T(v5,y)) = K(L(T(y,z),u,w) * x,v5). L(x \ 1,x,y) = L(x \ 1,x,T(y,z)). L(x \ 1,x,T(y,z)) = L(x \ 1,x,y). x * y != (z / T(u,w)) * u | x \ (z * K(w,u)) = y. a(x,y,K(z,u)) \ (w * K(v5,L(z,y,K(u,x)))) = (w / T(L(z,y,K(u,x)),v5)) * z. (x * L(y,z,K(u,w))) \ ((a(w,z,K(y,u)) * x) * (y * v5)) = L(v5,L(y,x,a(w,z,K(y,u))),a(w,z,K(y,u)) * x). a(x,y,K(z,u)) \ (w * K(v5,z)) = (w / T(L(z,y,K(u,x)),v5)) * z. a(x,y,K(z,u)) * (L(z,y,K(x,u)) * w) = z * w. x * y != L(x,z,K(u,w)) | y = a(x,z,K(u,w)). a(x,y,K(z,u)) = a(x * u,y,K(z,u)). a(x * y,z,K(u,y)) = a(x,z,K(u,y)). x != T(y,z / (u \ 1)) | x = T(y,z * u). T(x,y / (z \ K(u,w))) = T(x,(y * K(w,u)) * z). T(x,y / (z \ K(u,w))) != v5 | T(x,K(w,u) * (y * z)) = v5. a(x,y,K(z,u)) * (w * (a(z,y,x) \ L(u,y,K(z,x)))) = T(w * (a(z,y,x) \ u),K(a(z,y,x) \ u,u)). T(x * (a(y,z,u) \ w),K(a(y,z,u) \ w,w)) = a(u,z,K(y,w)) * (x * (a(y,z,u) \ L(w,z,K(y,u)))). T(x * (a(y,z,u) \ w),K(a(y,z,u) \ w,w)) = a(u,z,K(y,w)) * (x * (w / a(y,z,u))). T(x * (a(y,z,u) \ w),a(u,z,K(y,w))) = a(u,z,K(y,w)) * (x * (w / a(y,z,u))). a(x,y,K(z,u)) * (w * (u / a(z,y,x))) = T(w * (a(z,y,x) \ u),a(x,y,K(z,u))). x != T(y,a(z,u,K(w,v5))) | x = y. a(x,y,K(z,u)) * (w * (u / a(z,y,x))) = w * (a(z,y,x) \ u). (x * L(y,z,K(u,w))) \ (x * y) != v5 | a(w,z,K(u,y)) = v5. a(x,y,y \ 1) * (z * K(u,w)) = (a(x,y,y \ 1) * z) * K(u,w). (a(x,y,y \ 1) * z) * K(u,w) = a(x,y,y \ 1) * (z * K(u,w)). K(x,L(y,z,a(u,w,w \ 1))) = K(x,y). K(x,y * (T(z * u,K(w,v5)) * K(w,L(v5,z,u)))) = K(x,y * ((K(w,v5) * z) * u)). K(x,y * T((z * u) * K(w,L(v5,z,u)),K(w,v5))) = K(x,y * ((K(w,v5) * z) * u)). K(x,y * T(z * (T(u,z) * K(w,v5)),K(w,v5))) = K(x,y * ((K(w,v5) * u) * z)). K(x,y * (z * (T(u,z) * K(w,v5)))) = K(x,y * ((K(w,v5) * u) * z)). K(x,(T(y,z) * z) / u) = K(x,(z * y) / u). K(x,((y \ z) * y) / u) = K(x,(y * (z / y)) / u). K(x,(((y \ 1) \ z) * (y \ 1)) / u) = K(x,(z * K(y \ 1,y * z)) / u). K(x,(T((y * z) / y,u) * w) * v5) = K(x,(T(T(z,u),y) * w) * v5). K(x,((T(y,z \ y) / z) * u) * w) = K(x,(T(y / z,y) * u) * w). K(x,((((y * z) / y) * u) * w) * K(z,v5)) = K(x,(T((y * z) / y,v5) * u) * w). K(x,(((y * z) / y) * u) * (w * K(z,v5))) = K(x,(T((y * z) / y,v5) * u) * w). x != K(y,(((z * u) / z) * w) * v5) | x = K(y,(T(u,z) * w) * v5). K(x,(T((y * z) / y,u) * w) * v5) = K(x,(T(z,y) * w) * (v5 * K(z,u))). x != K(y,(T((z * u) / z,w) * v5) * v6) | x = K(y,(T(T(u,w),z) * v5) * v6). K(x,(T(y,z) * u) * (w * K(y,v5))) = K(x,(T(T(y,v5),z) * u) * w). K(x,K(y \ z,y) * (((z / y) * u) * w)) = K(x,((y \ z) * u) * w). K(x,K(y,z) * (((y / z) * u) * w)) = K(x,((z \ y) * u) * w). L(x / (K(y,z) \ u),K(y,z) \ u,K(y,z)) = (x * T(K(y,z),K(z,y) * u)) / u. L(x / (K(y,z) \ u),K(y,z) \ u,K(y,z)) = (x * K(y,T(z,K(z,y) * u))) / u. L(x / (K(y,z) \ u),K(y,z) \ u,K(y,z)) = (x * K(y,T(z,u))) / u. L(x / (K(y,z) * u),K(z,y) \ u,K(z,y)) = (x * K(z,T(y,u))) / u. K(x,y * ((z * K(u,T(w,v5))) / v5)) = K(x,y * (z / (K(w,u) * v5))). K(x,(K(y,z) * u) / w) = K(x,u * (w \ K(y,z))). K(x,y / (z * K(u,w))) = K(x,(K(w,u) * y) / z). K(x,(K(y,z) * u) / w) = K(x,u / (w * K(z,y))). x != K(y,z * ((u * w) * K(v5,v6))) | x = K(y,z * (u * (w * K(v5,v6)))). K(x,y * ((z * u) * K(w,v5))) = K(x,y * (z * (u * K(w,L(v5,v6,v7))))). K(x,y * (z * (u * K(w,L(v5,v6,v7))))) = K(x,y * ((z * u) * K(w,v5))). K(x,y * (z * (u * K(w,L(v5,v6,v7))))) = K(x,y * (z * (u * K(w,v5)))). K(x,y * (z * (u * K(T(w,v5) \ v6,w)))) = K(x,y * ((z * u) * K(v6,w))). K(x,y * (z * (u * K(T(w,v5) \ v6,w)))) = K(x,y * (z * (u * K(v6,w)))). K(x,y * (z * (u * K(w \ v5,w)))) = K(x,y * (z * (u * K(v5,w)))). K(x,y * (z * K(u,u \ w))) = K(x,y * (z * K(w,u))). x != K(y,z * ((u * w) * K(v5,v6))) | x = K(y,z * (u * (w * K(v5,L(v6,v7,v8))))). K(x,y * ((z * u) * K(w,v5))) = K(x,y * (z * (u * K(v5,L(v5 \ w,v6,v7))))). K(x,y * (z * (u * K(w,L(w \ v5,v6,v7))))) = K(x,y * ((z * u) * K(v5,w))). K(x,y * (z * K(u,w))) = K(x,y * (z * K(u * w,u))). K(x,y * (z * K(u * w,u))) = K(x,y * (z * K(u,w))). K(x,y * (z * (u * K(w,L(w \ v5,v6,v7))))) = K(x,y * (z * (u * K(v5,w)))). x != K(y,z * (u * (w * K(v5,L(v6,v7,v8))))) | x = K(y,z * (u * (w * K(v5,v6)))). K(x,y * (z * (u * K(w,v5)))) = K(x,y * (z * (u * K(v5,v5 \ w)))). K(x,y * (z * (u * K(w,w \ v5)))) = K(x,y * (z * (u * K(v5,w)))). K(x,L(y * (K(z,y) * u),w,v5)) = K(x,L(T(y,z) * u,w,v5)). K(x,(y / T(z,y)) * (K(z,z \ y) * u)) = K(x,(z \ T(y,z)) * u). x != K(y,(z / T(u,z)) * w) | x = K(y,(u \ z) * w). K(x,(y \ T(z,y)) * u) = K(x,(y \ z) * (K(y,y \ z) * u)). K(x,(y \ z) * (K(y,y \ z) * u)) = K(x,(y \ T(z,y)) * u). K(x,(y / z) * u) = K(x,(z \ T(y,z)) * u). K(x,(y \ T(z,y)) * u) = K(x,(z / y) * u). K(x,y * ((z \ u) * K(z,w))) = K(x,y * (T(z,w) \ u)). K(x,K(R(y,y \ z,u),w) * (v5 * ((y \ z) * u))) = K(x,v5 * (T(R(y,y \ z,u),w) \ (z * u))). L(x \ 1,x,y) * L(L(x \ 1,x,T(y,z)) \ 1,u,w) = L((x \ 1) * L((x \ 1) \ 1,u,w),x,T(y,z)). K(x,y / L(z,u,K(w,v5))) = K(x,y / z). K(x,((y \ 1) \ 1) \ z) != u | K(x,y \ z) = u. K(x,(y * K(z,u)) * w) != v5 | K(x,(K(u,z) / y) \ w) = v5. K(x,y / (z \ (K(u,w) * v5))) = K(x,y / ((K(u,w) \ z) \ v5)). K(x,y / ((K(z,u) \ w) \ v5)) = K(x,y / (w \ (K(z,u) * v5))). a(x,y,K(z,T(u,w))) = a(T(x,w),y,K(z,u)). a(T(x,y),z,K(u,w)) = a(x,z,K(u,T(w,y))). a(x,y,K((z * u) / (z * y),w)) = a(L(T(w,z * y),y,z),u,K(x,y \ u)). a(L(T(x,y * z),z,y),u,K(w,z \ u)) = a(w,z,K((y * u) / (y * z),x)). a(x,y,K(z,u \ w)) != v5 | a(x,y,K(w \ u,z)) = v5. x * L(x \ y,y,K(x \ z,u)) = y * a(y \ x,z,K(z \ x,u)). x != a(y,z,K(u,w)) \ (v5 \ v6) | x = (v5 * a(y,z,K(u,w))) \ v6. a(x,y,K(z,u)) * (w \ v5) = (w * a(z,y,K(x,u))) \ v5. (x * a(y,z,K(u,w))) \ v5 = a(u,z,K(y,w)) * (x \ v5). x != a(y,z,K(u,w)) \ (u \ v5) | x = K(u,L(w,z,y)) * (T(u,w) \ v5). a(x,y,K(z,u)) * (x \ w) = K(x,L(u,y,z)) * (T(x,u) \ w). K(x,L(y,z,u)) * (T(x,y) \ w) = a(x,z,K(u,y)) * (x \ w). x != a(y,z,K(u,w)) \ (v5 * K(v6,u)) | x = (v5 / T(L(u,z,K(w,y)),v6)) * u. a(x,y,K(z,u)) * (w * K(v5,x)) = (w / T(L(x,y,K(u,z)),v5)) * x. (x / T(L(y,z,K(u,w)),v5)) * y = a(y,z,K(w,u)) * (x * K(v5,y)). a(x,y,K(z,L(u,w,v5))) * K(x,u) = K(x,L(u,y,L(z,w,v5))). a(x,y,K(z \ 1,L(u,w,v5))) * K(x,u) = K(x,L(u,y,L(z,w,v5) \ 1)). a(x,y,a(z,u,K(w,v5))) * K(x,v5) = K(x,L(v5,y,a(z,u,w))). a(x,y,K(z * u,w)) * K(x,w) = K(x,L(w,y,z / (u \ 1))). a(x,y,K(z \ (u \ 1),w)) * K(x,w) = K(x,L(w,y,(u * z) \ 1)). x * y != a(z \ 1,z,u) * w | x \ (w * a(z \ 1,z,u)) = y. (a(x \ 1,x,y) * z) \ ((z * K(u,z \ (a(x \ 1,x,y) \ w))) * a(x \ 1,x,y)) = K(u,(a(x \ 1,x,y) * z) \ w). a(x,T((y \ ((z * u) / z)) * z,y \ u),w) = a(x,T(z,u) * (y \ u),w). x * y != T(z / (u * w),u) | R(u \ (z / w),u,w) / y = x. R(K(x,y) \ (T(x,y) / z),K(x,y),z) / K(x,y) = x / (K(x,y) * z). K(x,y * ((z / u) * K(z,w))) != v5 | K(x,y * (T(z,w) / u)) = v5. K(x,(y \ (y / ((z \ 1) \ 1))) \ u) != w | K(x,(y \ (y / z)) \ u) = w. K(x,((y * ((z \ 1) \ 1)) \ y) \ u) != w | K(x,((y * z) \ y) \ u) = w. K(x,y / (K(z,u) * (w * a(v5,v6,K(v7,v8))))) = K(x,y * (a(v7,v6,K(v5,v8)) * (w \ K(u,z)))). (a(x,y,K(z,u)) * w) \ v5 = a(z,y,K(x,u)) * (w \ v5). (a(x,y,K(z,u)) * w) \ v5 = a(u,y,K(z,x)) * (w \ v5). x * L(x \ y,y,K(x \ z,L(u,x,w))) = y * a(y \ x,z,K((w * z) \ (w * x),u)). (x / L(T(y,z),u,K(w,v5))) * y = a(y,u,K(v5,w)) * (x * K(z,y)). x != (y / L(T(z,u),w,K(u,v5))) * z | x = y * K(L(u,w,v5 \ 1),z). a(x,y,K(z,u)) * (w * K(u,x)) = w * K(L(u,y,z \ 1),x). a(x,y,K(z,u)) * (w * K(u,x)) = w * K(u,L(x,y,z \ 1)). x * (y * K(z,L(u,y,x \ 1))) = (x * y) * K(z,u). x \ (y * K(z,u)) = (x \ y) * K(z,L(u,x \ y,x \ 1)). (x \ y) * K(z,L(u,x \ y,x \ 1)) = x \ (y * K(z,u)). K(x,L(L(y,z,u \ 1),z,u)) = K(x,y). (a(x \ 1,x,y) * z) \ ((z * K(u,L(w,z,a(x \ 1,x,y) \ 1))) * a(x \ 1,x,y)) = K(u,w). K((x * y) \ z,L(u,x \ z,x \ 1)) = K(y \ (x \ z),u). K(x,L((y * z) \ u,z,y \ 1)) = K(x,z \ (y \ u)). K(x,L(a(y,y \ z,u),(y \ z) * u,y \ 1)) = K(x,((y \ z) * u) \ (y \ (z * u))). K(x,L(T(y,z \ 1) \ u,y * ((z \ y) / y),z \ 1)) = K(x,(y * ((z \ y) / y)) \ (z \ u)). K(x,K(y,z \ (u \ w))) = K((u * z) \ w,K(x,y)). K((x * y) \ z,K(u,w)) = K(u,K(w,y \ (x \ z))). K(x,K(y \ (z \ u),w) * v5) != v6 | K(x,K((z * y) \ u,w) * v5) = v6. T(x,K(y,z \ (u * K(w,v5)))) = T(x,K(y,z \ u)). K(x,y * (z \ (u * K(w,v5)))) = K(x,y * ((z \ u) * K(w,v5))). T(x,K(y,z \ (T(u,w) * v5))) = T(x,K(y,z \ (u * v5))). T(x,K(y,z \ (T(u,w) \ v5))) = T(x,K(y,z \ (u \ v5))). K(x,K(y,L(z,y \ u,w)) * (v5 * ((y \ u) * w))) = K(x,v5 * (T(R(y,y \ u,w),z) \ (u * w))). 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 * (z \ T(u,w))) = K(x,y * ((z \ u) * K(w,u))). K(x,y * ((z \ u) * K(w,u))) = K(x,y * (z \ T(u,w))). K(x,y * (K(z,u) * (w / z))) = K(x,y * (w / T(z,u))). K(x,y * (z * K(u,w))) * K(x,K(y,z)) != v5 | K(x,z * (K(u,w) * y)) = v5. K(x,y * (z * T(u,K(w,v5)))) != v6 | K(x,y * (z * u)) = v6. K(x,y * (z * K(u,z))) != w | K(x,y * T(z,u)) = w. K(x,(y * ((z \ u) * w)) * K(v5,z)) = K(x,y * (T(R(z,z \ u,w),v5) \ (u * w))). K(x,y * (T(R(z,z \ u,w),v5) \ (u * w))) = K(x,(y * ((z \ u) * w)) * K(v5,z)). x != K(y,(z * u) * K(w,v5)) | x = K(y,z * (u * K(w,v5))). K(x,y * (T(R(z,z \ u,w),v5) \ (u * w))) = K(x,y * (((z \ u) * w) * K(v5,z))). K(x,y * (T(R(z,z \ u,w),v5) \ (u * w))) = K(x,y * ((z \ u) * (w * K(v5,z)))). K(x,y * (R(T(z,u),z \ w,v5) \ (w * v5))) = K(x,y * ((z \ w) * (v5 * K(u,z)))). K(x,y * K(z,(u * w) \ v5)) = K(x,y * K(z,w \ (u \ v5))). T(x,a(y,z,K(u,w)) * v5) != v6 | T(x,v5) = v6. T(x,y / T(z,a(u,w,v5))) != v6 | T(x,y / z) = v6. T(x,(y * z) * K(u,w)) != v5 | T(x,y * (z * K(u,w))) = v5. T(x,y * (z * K(u,y * z))) = T(x,T(y * z,u)). T(x,(y \ 1) * (z * K(u,y \ z))) = T(x,T((y \ 1) * z,u)). T(x,y \ (z * K(u,y \ z))) = T(x,T((y \ 1) * z,u)). T(x,(y \ z) * K(u,y \ z)) = T(x,T((y \ 1) * z,u)). 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)). x * y != T(z,T((u \ 1) * w,v5)) | T(x,y) = y \ T(z,T(u \ w,v5)). T(K(x,L(T((y \ 1) * z,u),w,v5)),L(x \ 1,w,v5) \ 1) = (L(x \ 1,w,v5) \ 1) \ T(L(x \ 1,w,v5) \ 1,T(y \ z,u)). (L(x \ 1,y,z) \ 1) \ T(L(x \ 1,y,z) \ 1,T(u \ w,v5)) = T(K(x,L(T((u \ 1) * w,v5),y,z)),L(x \ 1,y,z) \ 1). x != T(y,L(z,u,w) \ 1) | x = T(y,L(z \ 1,u,w)). (L(x \ 1,y,z) \ 1) \ T(L(x \ 1,y,z) \ 1,T(u \ w,v5)) = T(K(x,L(T((u \ 1) * w,v5),y,z)),L((x \ 1) \ 1,y,z)). x != T(y,L((z \ u) \ u,w,v5)) | x = T(y,L(T(z,u),w,v5)). (L(x \ 1,y,z) \ 1) \ T(L(x \ 1,y,z) \ 1,T(u \ w,v5)) = T(K(x,L(T((u \ 1) * w,v5),y,z)),L(T(x,1),y,z)). (L(x \ 1,y,z) \ 1) \ T(L(x \ 1,y,z) \ 1,T(u \ w,v5)) = T(K(x,L(T((u \ 1) * w,v5),y,z)),L(x,y,z)). (L(x \ 1,y,z) \ 1) \ T(L(x \ 1,y,z) \ 1,T(u \ w,v5)) = K(x,L(T((u \ 1) * w,v5),y,z)). K(L(x \ 1,y,z) \ 1,T(u \ w,v5)) = K(x,L(T((u \ 1) * w,v5),y,z)). K((x \ 1) \ 1,L(T(y \ z,u),w,v5)) = K(x,L(T((y \ 1) * z,u),w,v5)). K(x,L(T(y \ z,u),w,v5)) = K(x,L(T((y \ 1) * z,u),w,v5)). K(x,L(T((y \ 1) * z,u),w,v5)) = K(x,L(T(y \ z,u),w,v5)). K(x,L(T(y * z,u),w,v5)) = K(x,L(T((1 / y) \ z,u),w,v5)). K(x,L(T((1 / y) \ z,u),w,v5)) = K(x,L(T(y * z,u),w,v5)). T(x,y / L(z,u,K(w,v5))) != v6 | T(x,y / z) = v6. T(x,y / z) = T(x,y / L(z,u,K(w,v5))). T(x,y / L(z,u,K(w,v5))) = T(x,y / z). T(x,y / (a(z,u,w) * v5)) != v6 | T(x,y / (v5 * a(z,u,w))) = v6. x * (a(y,z,K(u,w)) * v5) = (a(y,z,K(u,w)) * x) * v5. (a(x,y,K(z,u)) * w) * v5 = w * (a(x,y,K(z,u)) * v5). (x * L(y,z,K(u,w))) \ (x * (a(w,z,K(y,u)) * (y * v5))) = L(v5,L(y,x,a(w,z,K(y,u))),a(w,z,K(y,u)) * x). (x * L(y,z,K(u,w))) \ (x * (L(y,z,K(u,w)) * v5)) = L(v5,L(y,x,a(w,z,K(y,u))),a(w,z,K(y,u)) * x). L(x,L(y,z,a(u,w,K(y,v5))),a(u,w,K(y,v5)) * z) = (z * L(y,w,K(v5,u))) \ (z * (L(y,w,K(v5,u)) * x)). L(x,L(y,z,a(u,w,K(y,v5))),a(u,w,K(y,v5)) * z) = L(x,L(y,w,K(v5,u)),z). L(x,y,a(z,u,K(y,w)) * v5) = L(x,L(y,u,K(w,z)),v5). (K(x,y) * z) * a(x,u,K(w,y)) = L(K(x,y),u,w) * z. K(x,(K(y,K(z,u)) \ w) \ v5) = K(x,w \ v5). K(x,y \ z) = K(x,y \ (K(u,K(w,v5)) \ z)). K(x,y \ (K(z,K(u,w)) \ v5)) = K(x,y \ v5). K(x,y \ ((K(z,u) * w) * v5)) = K(x,y \ ((w * K(z,u)) * v5)). K(x,y \ (K(z,T(u,w)) \ v5)) = K(x,y \ (K(z,u) \ v5)). (x \ K(y,z * u)) * w = K(y,K(z,u)) * ((x \ K(y,u * z)) * w). K(x,K(y,z)) * ((u \ K(x,z * y)) * w) = (u \ K(x,y * z)) * w. K(x,y) * (z * K(y,T(x,u))) = T(z * K(y,K(x,u)),K(y,x)). K(x,y) * (((y \ 1) \ z) * (y \ 1)) = ((y \ K(y,x)) \ z) * (y \ 1). L(x,y,T((z \ 1) * ((z \ K(z,u)) \ w),z \ 1)) = L(x,y,K(u,z) * (w * K(w * z,z \ 1))). L(x,y,T(K(z,u) * w,u \ 1)) = L(x,y,K(z,u) * (w * K(w * u,u \ 1))). L(x,y,K(z,u) * (w * K(w * u,u \ 1))) = L(x,y,T(K(z,u) * w,u \ 1)). L(x \ R(x,K(y,z),((z \ 1) \ u) * (z \ 1)),x,((z \ K(z,y)) \ u) * (z \ 1)) = a(x,K(y,z),((z \ 1) \ u) * (z \ 1)). L(x \ R(x,K(y,z),T(u,z \ 1)),x,((z \ K(z,y)) \ u) * (z \ 1)) = a(x,K(y,z),((z \ 1) \ u) * (z \ 1)). L(x \ L(x,K(y,z),T(u,z \ 1)),x,((z \ K(z,y)) \ u) * (z \ 1)) = a(x,K(y,z),((z \ 1) \ u) * (z \ 1)). x != K(y,K(z,u)) * ((z * y) * w) | x = K(z,T(y,u)) * ((y * z) * w). (x * T(y,K(x,z))) * u = K(x,T(y,z)) * ((y * x) * u). K(x,T(y,z)) * ((y * x) * u) = (x * T(y,K(x,z))) * u. K(x,T(y,z)) * ((y * x) * u) = T(x * y,K(x,z)) * u. x != K(y,T(z,u)) * ((z * y) * u) | x = (T(y,u) * z) * T(u,y). T(x * y,K(x,z)) * z = (T(x,z) * y) * T(z,x). T((x * y) * z,K(x,z)) = (T(x,z) * y) * T(z,x). (T(x,y) * z) * T(y,x) = T((x * z) * y,K(x,y)). ((x \ y) * z) * T(x,y / x) = T(((y / x) * z) * x,K(y / x,x)). T(((x / y) * z) * y,K(x / y,y)) = ((y \ x) * z) * T(y,x / y). T(((x / y) * z) * y,K(x / y,y)) = ((y \ x) * z) * T(y,y \ x). K(x,L(y / z,u,w)) != v5 | K(x,y / z) * a(x,u,K(w,z \ y)) = v5. a(x,y,K(z * u,w)) != v5 | a(x,y,K(u * z,w)) = v5. K(a(x,y,z),T(u,w)) != v5 | a(x,y,K(z,u)) = v5. K(x,y / (K(z,L(u,w,v5)) * v6)) = K(x,y * (a(v5,w,K(z,u)) * (v6 \ K(u,z)))). K(x,y * (a(z,u,K(w,v5)) * (v6 \ K(v5,w)))) = K(x,y / (K(w,L(v5,u,z)) * v6)). x != K(y,z / (K(u,w) * v5)) | x = K(y,z * (v5 \ K(w,u))). K(x,y * (a(z,u,K(w,v5)) * (v6 \ K(v5,w)))) = K(x,y * (v6 \ K(L(v5,u,z),w))). K(x,y * (a(z,u,K(w,v5)) * (v6 \ K(v5,w)))) = K(x,y * (v6 \ K(v5,L(w,u,z)))). x != K(y,z * (a(u,w,K(v5,v6)) * v7)) | x = K(y,z * v7). K(x,y * (z \ K(u,L(w,v5,v6)))) = K(x,y * (z \ K(u,w))). x != L(a(y,z,K(u,w)),v5,v6) | x = a(y,z,K(u,L(w,v5,v6))). x \ (y * (a(z,u,K(w,v5)) * (y \ x))) = a(w,u,K(v5,L(z,y \ x,y))). a(x,y,K(z,u)) \ (w / v5) = w / (a(u,y,K(x,z)) * v5). x / (a(y,z,K(u,w)) * v5) = a(u,z,K(w,y)) \ (x / v5). x != a(y,z,K(u,w)) \ v5 | x = a(u,z,K(y,w)) * v5. x / (a(y,z,K(u,w)) * v5) = a(w,z,K(u,y)) * (x / v5). x / L(y,z,K(u,w)) = a(u,z,K(y,w)) * (x / y). a(x,y,K(z,u)) * (w / z) = w / L(z,y,K(x,u)). x / (y * a(z,u,K(w,v5))) = a(v5,u,K(w,z)) * (x / y). K(x,y * (z / L(u,w,K(v5,v6)))) = K(x,y * (z / u)). K(x,y * (K(z,u) * (w / v5))) = K(x,y * ((K(z,u) * w) / v5)). K(x,y * ((K(z,u) * w) / v5)) = K(x,y * (K(z,u) * (w / v5))). K(x,y * (z / (u \ (K(w,v5) * v6)))) = K(x,y * (z / ((K(v5,w) * u) \ v6))). K(x,y * (z / ((K(u,w) * v5) \ v6))) = K(x,y * (z / (v5 \ (K(w,u) * v6)))). (a(x,y,y \ 1) \ z) \ T(z,u) = K(z,u) * a(x,y,y \ 1). K(x \ a(y,x,x \ 1),L(z,x,y)) = K(1 / x,z). K(x \ a(y,x,x \ 1),L(z,x,y)) != u | K(x \ 1,z) = u. T(x,K(L(y,z,u),w)) != v5 | T(x,K(y,w)) = v5. K(x,(L(K(y,z),u,w) * v5) \ v6) = K(x,v5 \ (L(K(z,y),u,w) * v6)). K(x,K(y,(z \ u) \ w)) != v5 | K(x,K(y,u \ (z * w))) = v5. K(x,K(y,z \ (u * w))) = K(x,K(y,(u \ 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,L(y,z,u)) * K(x,K(y,w)) = K(x,L(T(y,w),z,u)). K(L(x,y,z),u) * K(u,L(T(x,w),y,z)) = K(u,K(x,w)). K(L(x,y,z),u) * K(u,L(T(x,w),y,z)) = K(x,K(u,w)). K(x,L(y,z,u)) * K(y,L(T(x,w),z,u)) = K(x,K(y,w)). L(x,y,K(z \ u,z) * (w * u)) = L(x,y,w * ((z \ u) * z)). x != L(y,z,K(u \ w,u) * v5) | x = L(y,z,K(w,u) * v5). L(x,y,z * ((u \ w) * u)) = L(x,y,K(w,u) * (z * w)). L(x,y,K(z,u) * (w * z)) = L(x,y,w * ((u \ z) * u)). x != L(y,z,K(u,w) * (v5 * u)) | x = L(y,z,v5 * T(u,w)). L(x,y,z * ((u \ w) * u)) = L(x,y,z * T(w,u)). L(K(x,a(y,z,u) \ w),v5,v6) = K(x,L(w / a(y,z,u),v5,v6)). K(x,L(y / a(z,u,w),v5,v6)) != v7 | K(x,L(a(z,u,w) \ y,v5,v6)) = v7. K(x,y) * (K(z,u) * (w * K(y,x))) = T(K(z,u) * w,K(x,y)). (K(x,y) / z) * K(u,w) = K(x,y) * ((1 / z) * K(u,w)). K(x,y) * ((1 / z) * K(u,w)) = (K(x,y) / z) * K(u,w). K(x,y) / (K(z,u) * w) = (K(x,y) / w) * K(u,z). K(x,T(y,z)) * (u * K(y,x)) = T(K(x,K(y,z)) * u,K(x,y)). x * T(K(y,K(z,x)) * (u / x),K(y,z)) = (K(y,z) * x) * (u / (K(y,z) * x)). K(x,(K(y,z) \ u) \ w) = K(x,u \ (K(z,y) \ w)). K(x,(T(y,z) \ u) \ w) = K(x,(y \ u) \ (K(z,y) \ w)). K(x,(y \ z) \ (K(u,y) \ w)) = K(x,(T(y,u) \ z) \ w). K(x,(y \ z) \ u) = K(x,(T(y,w) \ z) \ (K(y,w) \ u)). K(x,(T(y,z) \ u) \ (K(y,z) \ w)) = K(x,(y \ u) \ w). K(x,T(y \ z,K(u,w) \ y)) = K(x,(K(u,w) \ z) / (K(w,u) * y)). K(x,T(y \ z,K(u,w) \ y)) = K(x,(K(u,w) \ z) / (K(u,w) \ y)). K(a(x,y,z) \ u,a(x,y,z)) * (w * (u / a(x,y,z))) = u * T(a(x,y,z) \ w,a(x,y,z) \ u). a(x,y,K(z,u)) * (w * (u / a(z,y,x))) = u * T(a(z,y,x) \ w,a(z,y,x) \ u). x != a(y,z,K(u,w)) * (v5 * (w / a(u,z,y))) | x = v5 * (a(u,z,y) \ w). x * T(a(y,z,u) \ w,a(y,z,u) \ x) = w * (a(y,z,u) \ x). x * T(a(y,x,x \ 1) \ z,x) = z * (a(y,x,x \ 1) \ x). (a(x,y,y \ 1) \ z) * y = z * (a(x,y,y \ 1) \ y). x != (a(y,z,u) \ w) * T(v5,w) | x = v5 * ((a(y,z,u) * v5) \ (v5 * w)). x * (a(y,T(z,x),T(z,x) \ 1) \ T(z,x)) = z * ((a(y,T(z,x),T(z,x) \ 1) * z) \ (z * x)). x * (a(y,T(z,x),T(z,x) \ 1) \ T(z,x)) = z * ((a(y,z,z \ 1) * z) \ (z * x)). x * (a(y,T(z,x),T(z,x) \ 1) \ T(z,x)) = z * ((z * a(y,z,z \ 1)) \ (z * x)). K(x,y) * T(x * K(y,x),z \ a(u,w,v5)) = T(x,T(a(u,w,v5) / z,y)). T(x,T(y \ a(z,u,w),v5)) = T(x,T(a(z,u,w) / y,v5)). T(x,T(a(y,z,u) / w,v5)) = T(x,T(w \ a(y,z,u),v5)). K(x,K(y,z)) * (u * (w * v5)) = u * (w * (v5 * K(x,K(y,z)))). K(x,y * (z * (u * K(w,K(v5,v6))))) = K(x,y * (z * u)). K(x,K(y,z / (u * w))) = K(x,K(y,u \ (z / w))). K(x,K(y,z \ (u / w))) = K(x,K(y,(z * w) \ 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 \ (u \ w))). K(x,K(y,z \ ((z / u) * w))) != v5 | K(x,K(y,u \ w)) = v5. K(x,K(y,((z / u) * w) * z)) != v5 | K(x,K(y,u \ w)) = v5. K(x \ ((y \ z) * y),u) = K(x \ T(z,y),u). K(x \ (y * z),u) = K(x \ T(z * y,z),u). K(x \ T(y * z,y),u) = K(x \ (z * y),u). (x * y) / (K(z \ T(u,w),x) * y) = T(x,z \ ((w \ u) * w)). T(x,y \ ((z \ u) * z)) = (x * w) / (K(y \ T(u,z),x) * w). ((x * y) / x) / ((x * (y * K(z \ T(u,w),y))) / x) = K(y,T(z \ ((w \ u) * w),x)). K(x,T(y \ ((z \ u) * z),w)) = ((w * x) / w) / ((w * (x * K(y \ T(u,z),x))) / w). K(x,T(y \ ((z \ u) * z),w)) = K(x,T(y \ T(u,z),w)). x != (y * z) / (K(u,y) * z) | x = T(y,u). T(x,y \ ((z \ u) * z)) = T(x,y \ T(u,z)). T(x,K(y,z * (u * w))) = T(x,K(y,z * (T(u,v5) * w))). T(x,K(y,z * (T(u,w) * v5))) = T(x,K(y,z * (u * v5))). K(x,y) * T(z,K(u,w)) != v5 | T(K(x,y) * z,K(u,w)) = v5. K(x,y) * L(T(z,K(u,w)),v5,v6) != v7 | T(K(x,y) * L(z,v5,v6),K(u,w)) = v7. K(x,K(y,z \ u)) * K(y,x * (T(u,w) / z)) = K(y,(T(u,w) / z) * x). K(K(x,y \ z),u) * K(u,x * (T(z,w) / y)) = K(u,(T(z,w) / y) * x). K(x,K(y,z \ u)) \ K(x,y * (T(u,w) / z)) = K(x,(T(u,w) / z) * y). K(x,K(y,z * (u * (w * K(v5,v6))))) = K(x,K(y,z * (u * w))). K(x,K(y,z * (u * K(w,v5)))) != v6 | K(x,K(y,u * z)) = v6. K(x,y) * K(y,K(x,z * (u * w))) = K(x,T(y,z * (u * (w * K(v5,v6))))). K(x,T(y,z * (u * (w * K(v5,v6))))) = K(x,y) * K(y,K(x,z * (u * w))). x != K(y,z) * K(z,K(y,u)) | x = K(y,T(z,u)). K(x,T(y,z * (u * (w * K(v5,v6))))) = K(x,T(y,z * (u * w))). K(x,T(y,z * (u * (w \ K(v5,v6))))) = K(x,T(y,z * (u * (w \ 1)))). K(x,K(y,z \ u)) * K(x,(z \ T(u,w)) \ y) = K(x,y / (z \ T(u,w))). K(x,T(y,z * (T(u,w) \ v5))) != v6 | K(x,T(y,z * (u \ v5))) = v6. K(x,T(y,z * (u \ w))) != v5 | K(x,T(y,z * (w / u))) = v5. K(x,T(y,z * (u \ w))) = K(x,T(y,z * (T(u,v5) \ w))). K(x,T(y,z * (T(u,w) \ v5))) = K(x,T(y,z * (u \ v5))). K(x,L(T(y,z * K(u,w)),v5,v6)) = K(x,L(T(y,z),v5,v6)). K(x,L(T(y,z * T(u,w)),v5,v6)) = K(x,L(T(y,z * u),v5,v6)). K(x,L(T(y,z / u),w,v5)) = K(x,L(T(y,u \ z),w,v5)). K(x,L(T(y,z * (u * K(w,v5))),v6,v7)) = K(x,L(T(y,z * u),v6,v7)). K(x,L(T(y,K(z,u) * w),v5,v6)) = K(x,L(T(y,w),v5,v6)). K(x,L(T(y,z * (T(u,w) \ v5)),v6,v7)) = K(x,L(T(y,z * (u \ v5)),v6,v7)). K(x,L(T(y,z * (((u \ w) * u) * v5)),v6,v7)) = K(x,L(T(y,z * (w * v5)),v6,v7)). K(x,y) * (K(z,u) * w) = K(z,u) * (K(x,y) * w). (K(x,y) * z) / (K(x,y) * (K(u,w) * z)) != v5 | K(w,u) = v5. (K(x,y) * z) / (K(x,y) * (K(u,w) * z)) = K(w,u). K(x,y) * (T(z,u) * w) = K(z,u) * (K(x,y) * (z * w)). K(x,y) * (K(z,u) * (x * w)) = K(z,u) * (T(x,y) * w). ((K(x,y) * (K(z,u) * w)) * v5) / (K(z,u) * v5) = L(T(K(x,y) * w,K(z,u)),K(z,u),v5). K(x,y) * z != K(u,w) * v5 | z = K(u,w) * (K(y,x) * v5). K(x,y) * z != K(u,w) * v5 | K(u,w) * (K(y,x) * v5) = z. K(x,L(y,z,u)) * (K(y,x) * w) = w * a(x,z,K(u,y)). K(x / (y \ T(z,u)),T(w,y \ z)) != v5 | K((y \ T(z,u)) \ x,w) = v5. K(x,(K(y,z) * ((K(u,w) \ v5) / K(y,z))) \ v6) = K(x,v5 \ (K(w,u) \ v6)). K(x,(K(y,z) * ((K(u,T(w,v5)) \ v6) / K(y,z))) \ v7) = K(x,v6 \ (K(w,T(u,v5)) \ v7)). K(x,(K(y,T(z,u)) * ((K(w,T(v5,v6)) \ v7) * K(z,T(y,u)))) \ v8) = K(x,v7 \ (K(v5,T(w,v6)) \ v8)). K(x,(K(y,T(z,u)) * (K(w,T(v5,v6)) \ (v7 * K(z,T(y,u))))) \ v8) = K(x,v7 \ (K(v5,T(w,v6)) \ v8)). K(x,(y * K(z,T(u,w))) \ v5) = K(x,y \ (K(z,T(u,w)) \ v5)). K(x,y * (T(z,u) / w)) = K(x,y * ((z / w) * K(u,z))). K(x,y * ((z / u) * K(w,z))) = K(x,y * (T(z,w) / u)). K(x,y * (K(z \ u,z) * (z / w))) = K(x,y * (T(z,u) / w)). K(x,y * (K(z,u) * (u / w))) = K(x,y * (T(u,z) / w)). K(x,y * (K(z,T(u,w)) * v5)) != v6 | K(x,y * (K(z,u) * v5)) = v6. K(x,y * (K(z,K(u,w)) / (v5 \ 1))) != v6 | K(x,y * v5) = v6. K(x,y * (z * (K(u,K(w,v5)) * v6))) != v7 | K(x,y * (z * v6)) = v7. K(x,y * z) = K(x,y * (K(u,K(w,v5)) / (z \ 1))). K(x,y * (K(z,K(u,w)) / (v5 \ 1))) = K(x,y * v5). K(x,y * (K(z,u) * w)) = K(x,y * (K(z,T(u,v5)) * w)). K(x,y * (K(z,T(u,w)) * v5)) = K(x,y * (K(z,u) * v5)). K(x,y * (K(z,u \ w) * v5)) != v6 | K(x,y * (K(z,w / u) * v5)) = v6. K(x,y * (K(z,u / w) * v5)) != v6 | K(x,y * (K(z,w \ u) * v5)) = v6. K(x,y * (K(z,u / w) * v5)) = K(x,K(z,w \ u) * (y * v5)). K(x,K(y,z \ u) * (w * v5)) = K(x,w * (K(y,u / z) * v5)). K(x,y * (K(z,u / w) * v5)) = K(x,y * (K(z,w \ u) * v5)). x != K(y,z / (u * K(w,v5))) | x = K(y,(z * K(v5,w)) / u). 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 / (z * T(u,w))) = K(x,y * ((z * u) \ K(w,u))). K(x,y * ((z * u) \ K(w,u))) = K(x,y / (z * T(u,w))). K(x,y / (z / 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) != v5 | K(x,y / (w * K(u,z))) = v5. K(x,(y * (z / y)) \ (K(u,w) * y)) != v5 | K(x,y / (z * K(w,u))) = v5. K(x,y * ((z * (u / z)) \ w)) = K(x,y * ((u \ w) * K(u,z))). x != K(y,z * ((u \ w) * K(u,v5))) | x = K(y,z * (T(u,v5) \ w)). 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,z) \ w)). K(x,y * (T(z * u,u) \ w)) = K(x,y * ((u * z) \ w)). K(x,K(y,z) * (u * (w / y))) != v5 | K(x,u * (w / T(y,z))) = v5. K(x,y * ((z / u) * K(u,w))) != v5 | K(x,y * (z / T(u,w))) = v5. K(x * ((K(y,z) * u) \ 1),w) != v5 | K(x / (u * K(y,z)),w) = v5. K(x,y * (T(z,T(u,w)) / v5)) = K(x,y * ((z / v5) * K(z,u))). K(x,y * (z * K(u,w \ v5))) = K(x,y * (z * K(u,v5 / w))). K(x,y * (z * K(u,w / v5))) = K(x,y * (z * K(u,v5 \ w))). K(x,y * ((z / u) * K(w,T(u,v5)))) = K(x,y * (z / T(u,w))). K(x,y * (z / T(u,T(w,v5)))) = K(x,y * (z / T(u,w))). x != K(y,z * ((u / (u / w)) / T(v5,T(w,u)))) | x = K(y,z * (v5 \ (u / (u / w)))). K(x,y * ((z / (z / u)) / T(w,u))) = K(x,y * (w \ (z / (z / u)))). x != K(y,z * (u / T(w,u))) | x = K(y,z * (w \ u)). K(x,y * (T(z,u) / T(w,z))) = K(x,y * (w \ T(z,u))). K(x,y * (T(z,u) / w)) = K(x,y * (T(z,T(u,v5)) / w)). K(x,y * (T(z,T(u,w)) / v5)) = K(x,y * (T(z,u) / v5)). K(x,y * (T(z,u * w) / v5)) = K(x,y * (T(z,w * u) / v5)). x != K(y,K(z,u) * w) | x = T(y,T(v5,w)) \ T(T(y,K(z,u) * w),v5). K(x,K(y,z) * (K(u,K(w,v5)) / (v6 \ 1))) = T(x,T(v7,v6)) \ T(T(x,K(y,z) * v6),v7). K(x,L((y / z) \ 1,z,z \ u)) != w | K(x,u / (y * (z \ u))) = w. x != R(T(y,z),K(z,y) * u,(K(z,y) * u) \ K(z,y)) | x = ((y * u) * L(u \ 1,u,K(z,y))) / K(z,y). R(T(x,y),z,(K(y,x) * z) \ K(y,x)) = ((x * z) * L(z \ 1,z,K(y,x))) / K(y,x). x != T(y,z / T(u,z)) | x = T(y,u \ z). T(x,(y / z) * K(z,y)) = T(x,z \ y). T(x,y / ((z * u) / z)) = T(x,y / T(u,z)). T(x,(y * K(z,y)) / z) = T(x,z \ y). 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(u,z * y)) = T(x,u / T(y * z,z)). x * y != K(z,K(u,w)) * (v5 * z) | x \ (v5 * T(z,K(u,w))) = y. x \ (y * T(x,K(z,u))) = T(x,K(z,u)) \ (y * x). T(x,K(y,z)) \ (u * x) = x \ (u * T(x,K(y,z))). x / (y * T(z,K(u,w))) = (x / (y * z)) * K(z,K(u,w)). (x / (y * z)) * K(z,K(u,w)) = x / (y * T(z,K(u,w))). x * T(y / T(x,K(z,u)),K(z,u)) = (K(z,u) * x) * (y / (K(z,u) * x)). (K(x,y) * z) * (u / (K(x,y) * z)) = z * T(u / T(z,K(x,y)),K(x,y)). x * (y / x) = T(x,K(z,u)) * (y / T(x,K(z,u))). T(x,K(y,z)) * (u / T(x,K(y,z))) = x * (u / x). (K(x,y) \ z) * (u / (z / K(x,y))) = T(K(x,y) \ z,K(x,y)) * (u / (K(x,y) \ z)). T(K(x,y) \ z,K(x,y)) * (u / (K(x,y) \ z)) = (K(x,y) \ z) * (u / (z / K(x,y))). K(x,L(y,K(z,u) * x,w)) * ((K(z,u) * x) * w) = (K(z,u) * T(x,y)) * w. K(K(x \ 1,y) * z,u) = K(K(y,x) * z,u). K(K(x \ 1,y) * z,u) != w | K(K(y,x) * z,u) = w. x != K(y,z \ T(u,w)) | x = K(y,z \ (w * (u / w))). K(x,K(y,z) * (u \ y)) = K(x,u \ (z * (y / z))). K(x,y \ (z * (u / z))) = K(x,K(u,z) * (y \ u)). K(x,K(y,z) * (u \ y)) = K(x,(T(y,z) \ u) \ 1). K(x,(T(y,z) \ u) \ 1) = K(x,K(y,z) * (u \ y)). K(x,y * (K(z,u) * (w / z))) * K(x,K(y,w / T(z,u))) = K(x,(K(z,u) * (w / z)) * y). x / T(T(y,K(z,u)),w) = (x / T(y,w)) * K(y,K(z,u)). (x / T(y,z)) * K(y,K(u,w)) = x / T(T(y,K(u,w)),z). T(x,T(y \ 1,z) * u) != w | T(x,y \ (u * K(y \ 1,z))) = w. x != T(y * K(z,u),T(y / T(u,z),u)) | x = T((y / T(u,z)) * u,y / T(u,z)). T(x * K(y,z),T(z,y) \ x) = T((x / T(z,y)) * z,x / T(z,y)). T((x / T(y,z)) * y,x / T(y,z)) = T(x * K(z,y),T(y,z) \ x). K(x,T(y \ ((z \ u) * z),(z \ u) * T(z,u))) = K(x,T((z \ u) * T(z,u),z) / y). K(x,y * (z \ K(u,T(w,v5)))) = K(x,y * (z \ K(u,w))). x != K(y,K(z,u) \ w) | x = K(y,K(u,z) \ w). K(x,K(y,T(z,u)) \ w) = K(x,K(z,y) \ w). K(x,T(y * K(z,u),w)) = K(x,T(y,w) * K(z,u)). K(x,T(y,z) * K(u,w)) = K(x,T(y * K(u,w),z)). K(x / (y / z),u) = K(K(y,z) * (x / (z \ y)),u). K(K(x,y) * (z / (y \ x)),u) = K(z / (x / y),u). x != K(T(y * z,z) * u,w) | x = K((z * y) * u,w). K(T(x * T(y,z),y) * u,w) = K((T(y,z) * x) * u,w). x != (y * z) * (y / (y * z)) | x = y * K(y * z,z \ 1). x * T(K(y,z) / T(x,K(y,z)),K(y,z)) = K(y,z) * K(K(y,z) * x,x \ 1). x * T(T(K(y,z) / x,K(y,z)),K(y,z)) = K(y,z) * K(K(y,z) * x,x \ 1). x * (K(y,z) / x) = K(y,z) * K(K(y,z) * x,x \ 1). K(x,y) * K(K(x,y) * z,z \ 1) = z * (K(x,y) / z). K(K(x,y) * z,z \ 1) = K(z,z \ K(x,y)). (x * (K(y,z) / x)) \ 1 = K(x \ 1,K(y,z) * x) * K(z,y). K(x \ 1,K(y,z) * x) * K(z,y) = (x * (K(y,z) / x)) \ 1. K(x / (y * T(z,K(u,w))),v5) = K(x / (y * z),v5). K(x,y * (z / (u * T(w,K(v5,v6))))) = K(x,y * (z / (u * w))). x != K(y,z * (T(u,w * v5) / (w * T(v5,K(v6,v7))))) | x = K(y,z * ((w * T(v5,K(v6,v7))) \ u)). K(x,y * (T(z,u * w) / (u * w))) = K(x,y * ((u * T(w,K(v5,v6))) \ z)). K(x,y * ((z * T(u,K(w,v5))) \ v6)) = K(x,y * (T(v6,z * u) / (z * u))). x != K(y,z * (T(u,w) / w)) | x = K(y,z * (w \ u)). K(x,y * ((z * T(u,K(w,v5))) \ v6)) = K(x,y * ((z * u) \ v6)). K(x / (y * (K(z,u) * w)),v5) = K(x / (y * (w * K(z,u))),v5). K(x,K(y,(T(z,u) * w) * v5) * v6) = K(x,v6 * K(T(w * T(z,u),z) * v5,y)). K(x,y * K(T(z * T(u,w),u) * v5,v6)) = K(x,K(v6,(T(u,w) * z) * v5) * y). K(x,K(y,z * u) * w) = K(x,K(u * z,y) * w). K(x,K(y * z,u) * w) = K(x,K(u,z * y) * w). K(x,K(y * z,u) * w) != v5 | K(x,K(u,z * y) * w) = v5. K(x,y * T(z * K(u,w),v5)) = K(x,y * (K(u,w) * T(z,v5))). K(x,y * (K(z,u) * T(w,v5))) = K(x,y * T(w * K(z,u),v5)). K(x,y * (T(z,u) * K(w,v5))) = K(x,y * T(z * K(w,v5),u)). K(x,y / (T(z,T(u,w)) \ v5)) = K(x,y * ((z \ v5) \ K(z,u))). K(x,y / (T(z,T(u,w)) \ v5)) != v6 | K(x,y / (T(z,u) \ v5)) = v6. K(x,y * (z * (K(u,T(w,v5)) * v6))) = K(x,y * (z * (K(u,w) * v6))). K(x,K(y,z) \ u) != w | K(x,K(z,y) \ u) = w. K(x,K(y,T(z,u)) \ w) != v5 | K(x,K(z,y) \ w) = v5. K(x,T(y,z \ u) * w) != v5 | K(x,T(y,u / z) * w) = v5. K(x,y * (z / (K(u,w) * v5))) != v6 | K(x,y * (z / (v5 * K(u,w)))) = v6. K(T(x,y) / z,u) = K(T(z,x) \ T(x,y),u). K(T(x,y) \ T(y,z),u) = K(T(y,z) / x,u). x != K(T(y,z) * u,w) | x = K(T(y,T(z,v5)) * u,w). K((T(x,y) \ z) * u,w) = K(T(z / T(x,y),T(x,v5)) * u,w). K(T(x / T(y,z),T(y,u)) * w,v5) = K((T(y,z) \ x) * w,v5). K((((x \ y) \ y) \ z) * u,w) = K((T(x,x \ y) \ z) * u,w). K((T(x,x \ y) \ z) * u,w) = K((((x \ y) \ y) \ z) * u,w). x != K((K(y,z) * u) * w,v5) | x = K(u * (w * K(z,y)),v5). K((x * K(y,z)) * u,w) = K(x * (u * K(z,y)),w). K(x,(y / z) \ T(u,z \ y)) != w | K(x,u / (y / z)) = w. K(x,(y * K(z,u)) \ w) = K(x,y \ (w * K(u,z))). x != K(y,(L(K(z,u),w,v5) * v6) \ v7) | x = K(y,v6 \ (L(K(u,z),w,v5) * v7)). K(x,(y * L(K(z,u),w,v5)) \ v6) = K(x,y \ (L(K(u,z),w,v5) * v6)). (x * K(y,z \ (L(K(u,w),v5,v6) * v7))) \ x = K((z * L(K(w,u),v5,v6)) \ v7,y). 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,T(z,u \ 1) * w) | x = K(y,T(z,u) * w). K(x,(y * (z \ 1)) * u) = K(x,T((z \ 1) * y,z) * u). K(x,T((y \ 1) * z,y) * u) = K(x,(z * (y \ 1)) * u). x != K(y,T((z \ 1) * u,z) * w) | x = K(y,(L(u,z \ 1,z) / z) * w). K(x,(y * (z \ 1)) * u) = K(x,(L(y,z \ 1,z) / z) * u). K(x,(L(y,z \ 1,z) / z) * u) = K(x,(y * (z \ 1)) * u). K(x,y * T(1 / z,(u * (w \ 1)) \ v5)) = K(x,y / T(z,(u * (1 / w)) \ v5)). K(x,T(y / T(z \ 1,u),w)) != v5 | K(x,T(y * T(z,u),w)) = v5. K(x,y * T(K(z,K(u,w)) * v5,v6)) != v7 | K(x,y * T(v5,v6)) = v7. x != T(y,z * K(u,w)) | x = T(y,K(w,u) * z). x \ T(y * x,K(z,u)) = T(y * K(x,K(z,u)),K(z,u) * x). T(x * K(y,K(z,u)),K(z,u) * y) = y \ T(x * y,K(z,u)). T(K(x,K(y,z)) * u,K(y,z) * x) = x \ T(u * x,K(y,z)). K(x,K(K(y,K(z,u)) * w,K(z,u) * y) * (v5 * ((K(y,K(z,u)) * w) \ v6))) = K(x,v5 * ((y \ T(w * y,K(z,u))) \ v6)). K(x,y * (((K(z,u) * w) * ((K(w,K(z,u)) * v5) / (K(z,u) * w))) \ v6)) = K(x,y * ((w \ T(v5 * w,K(z,u))) \ v6)). K(x,y * (((K(z,u) * w) * ((K(z,K(u,w)) * v5) / (K(z,u) * w))) \ v6)) = K(x,y * ((w \ T(v5 * w,K(z,u))) \ v6)). K(x,y * (((K(z,u) * w) * (K(z,K(u,w)) * (v5 / (K(z,u) * w)))) \ v6)) = K(x,y * ((w \ T(v5 * w,K(z,u))) \ v6)). K(x,y * (((K(z,u) * w) * (v5 / (K(z,T(u,w)) * w))) \ v6)) = K(x,y * ((w \ T(v5 * w,K(z,u))) \ v6)). K(x,y * (((K(z,u) * w) * (v5 / (w * K(z,u)))) \ v6)) = K(x,y * ((w \ T(v5 * w,K(z,u))) \ v6)). K(x,K(y,K(z,u) * w) * (v5 * ((K(w,K(z,u)) * y) \ v6))) = K(x,v5 * ((w \ T(y * w,K(z,u))) \ v6)). K(x,K(y,K(z,u) * w) * (v5 * (K(w,K(z,u)) * (y \ v6)))) = K(x,v5 * ((w \ T(y * w,K(z,u))) \ v6)). K(x,K(y,K(z,u) * w) * (v5 * (y \ v6))) = K(x,v5 * ((w \ T(y * w,K(z,u))) \ v6)). x != K(y,K(z,u) * (w * (z \ v5))) | x = K(y,w * (T(z,u) \ v5)). K(x,y * ((z \ T(u * z,K(w,v5))) \ v6)) = K(x,y * (T(u,K(w,v5) * z) \ v6)). L(x \ R(x,K(y,z),T(u,w)),x,T(u * K(y,T(z,w * u)),w)) = a(x,K(y,z),T(u,w)). L(x \ L(x,K(y,z),T(u,w)),x,T(u * K(y,T(z,w * u)),w)) = a(x,K(y,z),T(u,w)). x != K(y,z * T(u / w,u)) | x = K(y,z * (w \ u)). K(x,y * ((z / u) * K(u \ 1,z))) = K(x,y * (u \ z)). (K(x,y) * z) * K(z * K(x,y),u) = T(K(y,x) \ z,u). (K(x,y) * z) * K(z,y \ 1) = T(K(y,x) \ z,y \ 1). K(x,y) * T(z,y \ 1) = T(K(y,x) \ z,y \ 1). K(x,y) * T(z,y \ 1) = T(K(x,y) * z,y \ 1). K(K(x,y * x) * z,u) != w | K(K(x,y) * z,u) = w. K(x,K(y * z,z) * u) != w | K(x,K(z,y) * u) = w. K(x,(y * (z \ 1)) * K(u,w)) = K(x,y * (z \ K(u \ 1,w))). K(x,y * (z \ K(u \ 1,w))) != v5 | K(x,y * (z \ K(u,w))) = v5. K(x / (y / z),u) = K(x / T(z \ y,z),u). K(x / T(y \ z,y),u) = K(x / (z / y),u). K(x / (((y \ z) \ z) \ z),u) = K(x / (z / y),u). x != K(y / ((z \ u) \ u),w) | x = K(y / T(z,u),w). K(x / (y / z),u) = K(x / T(z \ y,y),u). K(x / T(y \ z,z),u) = K(x / (z / y),u). K(x / T(y,z),u) = K(x / (z / (z / y)),u). K(x / (y / (y / z)),u) = K(x / T(z,y),u). T(((x / y) * z) * y,K(y,y \ x)) = ((y \ x) * z) * T(y,y \ x). T(((x / y) * z) * y,K(y,x)) = ((y \ x) * z) * T(y,y \ x). ((x \ y) * z) * T(x,x \ y) = T(((y / x) * z) * x,K(x,y)). K(x,(y * z) * K(u,w)) = K(x,y * (K(w,1 / u) * z)). K(x,y * (K(z,1 / u) * w)) = K(x,(y * w) * K(u,z)). K(x,y * (K(z,1 / u) * w)) = K(x,y * (w * K(u,z))). K(x,y * (K(z,u \ 1) * w)) = K(x,y * (w * K(u,z))). K(x,y * (z \ K(u,w \ 1))) = K(x,y * ((z \ 1) * K(w,u))). K(x,y * (z \ K(u,w \ 1))) = K(x,y * (z \ K(w,u))). K(x,y) * K(z \ 1,z * K(x,y)) = (z * (K(y,x) / z)) \ 1. K(x,y * (z / T(u,w))) * K(x,K(y,z / T(u,w))) = K(x,(K(u,w) * (z / u)) * y). x != K(y,z * u) * K(y,K(z,u)) | x = K(y,u * z). K(x,(K(y,z) * (u / y)) * w) = K(x,(u / T(y,z)) * w). K(x,(y / z) * (u * K(z,w))) = K(x,(y / T(z,w)) * u). x != K(y,(K(z,u) * w) * (v5 \ 1)) | x = K(y,w * (v5 \ K(z,u))). K(x,(y / T(z,u)) * (w \ 1)) = K(x,(y / z) * (w \ K(z,u))). K(x,(y / z) / (T(z,u) \ w)) = K(x,(y / T(z,u)) * ((z \ w) \ 1)). K(x,(y / T(z,u)) * ((z \ w) \ 1)) = K(x,(y / z) / (T(z,u) \ w)). K(x,(y / T(z,u)) / (z \ w)) = K(x,(y / z) / (T(z,u) \ w)). K(x,(y / z) * K(z,u)) = K(x,(y / T(z,u)) * K(w,K(v5,v6))). K(x,(y / T(z,u)) * K(w,K(v5,v6))) = K(x,(y / z) * K(z,u)). K(x,(y / T(z,u)) * a(w,v5,K(v6,v7))) = K(x,(y / z) * K(z,u)). K(x,(y / z) * K(z,u)) != w | K(x,(y / T(z,u)) * K(v5,K(v6,v7))) = w. K(x,K(y,z) * (u \ y)) != w | K(x,u \ T(y,z)) = w. K(x,y \ (z * (u / z))) != w | K(x,y \ T(u,z)) = w. x != K(y,(T(z \ u,w) / w) * K(z,z \ u)) | x = K(y,w \ (u / z)). K(x,(T(y \ z,u) / u) * K(z,y)) = K(x,u \ (z / y)). K(x,K(y,z) * (u \ (z \ y))) = K(x,u \ (y / z)). K(x,T(y \ ((z \ u) * z),u)) = K(x,T((z \ u) * T(z,u),z) / y). K(x,T((y \ z) * T(y,z),y) / u) = K(x,T(u \ ((y \ z) * y),z)). K(x,((y \ z) * y) / u) = K(x,T(u \ ((y \ z) * y),z)). K(x,T(y \ ((z \ u) * z),u)) = K(x,((z \ u) * z) / y). x != K(y,T(z \ ((u \ w) * u),v5)) | x = K(y,T(z \ T(w,u),v5)). K(x,((y \ z) * y) / u) = K(x,T(u \ T(z,y),z)). K(x,T(y \ T(z,u),z)) = K(x,((u \ z) * u) / y). x != K(y,T(z \ T(u,w),u)) | x = K(y,T(u,w) / z). K(x,((y \ z) * y) / u) = K(x,T(z,y) / u). x != K(y,(((z \ 1) \ u) * (z \ 1)) / w) | x = K(y,(u * K(z \ 1,z * u)) / w). K(x,T(y,z \ 1) / u) = K(x,(y * K(z \ 1,z * y)) / u). K(x,(y * K(z \ 1,z * y)) / u) = K(x,T(y,z \ 1) / u). K(x,(y * K(z \ 1,y * z)) / u) = K(x,T(y,y * z) / u). x != K(y,(z * K(u,w)) / v5) | x = K(y,z * (v5 \ K(u,w))). K(x,T(y,z \ 1) / u) = K(x,y * (u \ K(z \ 1,z * y))). K(x,y * (z \ K(u \ 1,u * y))) = K(x,T(y,u \ 1) / z). K(x,y * (z \ K(u,u * y))) = K(x,T(y,u \ 1) / z). K(x,y * (z \ K(u,y * u))) = K(x,T(y,u \ 1) / z). L(x,y,T(z * K(u,w),T(w,u) \ z)) = L(x,y,w * (z / T(w,u))). K(x,L(y,K(z,u),w)) * ((K(z,u) * x) * w) = (K(z,u) * T(x,y)) * w. T(K(x,y) \ z,K(x,y)) * (u / (K(x,y) \ z)) = (K(y,x) * z) * (u / (z / K(x,y))). T(K(x,y) \ z,K(x,y)) * (u / (K(x,y) \ z)) = (K(y,x) * z) * (u / (z * K(y,x))). (x * K(y,z)) * (u / (K(z,y) \ x)) = (K(y,z) * x) * (u / (x * K(y,z))). (K(x,y) * z) * (u / (z * K(x,y))) = (z * K(x,y)) * (u / (K(y,x) \ z)). (K(x,y) * z) * (u / (z * K(x,y))) = (z * K(x,y)) * (u / (K(x,y) * z)). x != (y * K(z,u)) * (w / (K(z,u) * y)) | x = y * T(w / y,K(z,u)). (K(x,y) * z) * (u / (z * K(x,y))) = z * T(u / z,K(x,y)). K(x,y * ((z * T(u / z,K(w,v5))) \ v6)) = K(x,y * ((z \ T(u * z,K(w,v5))) \ v6)). K(x,y * ((z \ T(u * z,K(w,v5))) \ v6)) = K(x,y * ((z * T(u / z,K(w,v5))) \ v6)). x != K(y,z * ((u * T(w,K(v5,v6))) \ v7)) | x = K(y,z * ((u * w) \ v7)). K(x,y * ((z \ T(u * z,K(w,v5))) \ v6)) = K(x,y * ((z * (u / z)) \ v6)). x != K(y,z * ((u * (w / u)) \ v5)) | x = K(y,z * (T(w,u) \ v5)). K(x,y * ((z \ T(u * z,K(w,v5))) \ v6)) = K(x,y * (T(u,z) \ v6)). x != K(y,z * ((u \ T(w * u,K(v5,v6))) \ v7)) | x = K(y,z * (T(w,K(v5,v6) * u) \ v7)). K(x,y * (T(z,u) \ w)) = K(x,y * (T(z,K(v5,v6) * u) \ w)). K(x,y * (T(z,K(u,w) * v5) \ v6)) = K(x,y * (T(z,v5) \ v6)). K(x,y * (T(z,K(u,w) * v5) \ 1)) = K(x,y / T(z,v5)). K(x,y / T(z,K(u,w) * v5)) = K(x,y / T(z,v5)). K(x,y / T(z,u * w)) = K(x,y / T(z,u * (K(v5,v6) * w))). K(x,y / T(z,u * (K(w,v5) * v6))) = K(x,y / T(z,u * v6)). K(x,y / T(z,u * (w * v5))) = K(x,y / T(z,u * (T(w,v6) * v5))). K(x,y / T(z,u * (T(w,v5) * v6))) = K(x,y / T(z,u * (w * v6))). K(x,y / T(z,u * (w / v5))) = K(x,y / T(z,u * (v5 \ w))). (x * K(y,z)) \ (u * (K(z,y) \ x)) = (K(z,y) \ x) \ (u * T(K(z,y) \ x,K(z,y))). (K(x,y) \ z) \ (u * T(K(x,y) \ z,K(x,y))) = (z * K(y,x)) \ (u * (K(x,y) \ z)). (K(x,y) \ z) \ (u * (z * K(y,x))) = (z * K(y,x)) \ (u * (K(x,y) \ z)). K(x,(y * (z \ 1)) \ u) * K(x,K(u,z * y)) = K(x,u / (y * (z \ 1))). K(x,L(T(y,z / u),w,v5)) = K(x,L(T(y,u * z),w,v5)). x != K(y,L(T(z,u / w),v5,v6)) | x = K(y,L(T(z,w \ u),v5,v6)). K(x,L(T(y,z * u),w,v5)) = K(x,L(T(y,z \ u),w,v5)). K(x,L(T(y,z \ u),w,v5)) = K(x,L(T(y,z * u),w,v5)). K(x \ y,(x * z) / T(y,x)) = K(y / x,(x \ T(y,x)) \ z). K(x / y,(y \ T(x,y)) \ z) = K(y \ x,(y * z) / T(x,y)). K(x,y) * ((x * K(z,u)) * T(y,x)) = (x * K(z,u)) * y. x * y != K(z,u) * ((z * K(w,v5)) * T(u,z)) | x \ ((z * K(w,v5)) * u) = y. (x * y) \ ((x * K(z,u)) * y) = (y * x) \ ((x * K(z,u)) * T(y,x)). (x * y) \ ((y * K(z,u)) * T(x,y)) = (y * x) \ ((y * K(z,u)) * x). K(x,y) * ((x * K(z,u)) * T(y,x)) != w * v5 | w \ ((x * K(z,u)) * y) = v5. x * K(y * K(z,u),K(u,z) * (y \ x)) = (K(z,u) * y) * (x / (K(z,u) * y)). K(x / K(y,z),K(y,z)) \ T(u,x / K(y,z)) = (x / K(y,z)) \ (u * (K(y,z) \ x)). K(x,K(y,z)) \ T(u,z) = z \ (u * T(z,K(x,y))). K(x,K(y,z)) \ T(u,K(w,v5) \ z) = (K(w,v5) \ z) \ (u * T(K(w,v5) \ z,K(x,y))). (K(x,y) \ z) \ (u * T(K(x,y) \ z,K(w,v5))) = K(w,K(v5,z)) \ T(u,K(x,y) \ z). (K(x,y) \ z) \ (u * (z * K(y,x))) = K(x,K(y,z)) \ T(u,K(x,y) \ z). K(x,y \ ((z / K(u,w)) \ (v5 * (K(u,w) \ z)))) = K(x,y \ T(v5,z / K(u,w))). K(x,y \ ((z * K(u,w)) \ (v5 * (K(w,u) \ z)))) = K(x,y \ T(v5,z / K(w,u))). K(x,y * (z / u)) * K(x,K(y,u * z)) = K(x,(z / u) * y). T(x / T(y,K(z,u)),K(z,u) \ y) = y \ T(x,K(z,u)). T(R(x * K(K(y,z),u),K(w,v5),w),K(y,z) \ u) = u \ T(x * u,K(y,z)). T(R(x * K(y,K(z,u)),K(w,v5),w),K(y,z) \ u) = u \ T(x * u,K(y,z)). T(R(K(x,K(y,z)) \ u,K(w,v5),w),K(x,y) \ z) = z \ T(u * z,K(x,y)). T(K(x,K(y,z)) \ u,K(x,y) \ z) = z \ T(u * z,K(x,y)). K(x,K(y,z)) \ T(u,K(x,y) \ z) = z \ T(u * z,K(x,y)). x != K(y,K(z,u)) \ T(w,K(y,z) \ u) | x = (K(y,z) \ u) \ (w * (u * K(z,y))). x \ T(y * x,K(z,u)) = (K(z,u) \ x) \ (y * (x * K(u,z))). (K(x,y) \ z) \ (u * (z * K(y,x))) = z \ T(u * z,K(x,y)). x != (K(y,z) \ u) \ (w * (u * K(z,y))) | x = (u * K(z,y)) \ (w * (K(y,z) \ u)). x \ T(y * x,K(z,u)) = (x * K(u,z)) \ (y * (K(z,u) \ x)). (x * K(y,z)) \ (u * (K(z,y) \ x)) = x \ T(u * x,K(z,y)). (x * K(y,z)) \ (u * (K(z,y) \ x)) = x \ T(u * x,K(y,z)). K(x,y \ (z \ T(u * z,K(w,v5)))) = K(x,y \ T(u,z / K(v5,w))). K(x,T(y,z * (u \ 1))) != w | K(x,T(y,z / u)) = w. K(L((x \ y) * K(z,u),K(u,z),x),w) != v5 | K((x * K(u,z)) \ y,w) = v5. K(x,K(y,z) \ T(u,w)) = K(x,T(u * K(z,y),w)). K(x,K(y,z) \ T(u / y,w)) = K(x,T(u / T(y,z),w)). K(x,T(y / z,u)) = K(x,T(y / T(z,K(w,v5)),u)). K(x,T(y / T(z,K(u,w)),v5)) = K(x,T(y / z,v5)). K(x,T(y / (T(z,u) * T(w,z)),v5)) = K(x,T(y / (w * T(z,u)),v5)). K(x,T(y / (T(z,u) * T(T(z,u) \ w,z)),v5)) = K(x,T(y / (K(T(z,u),T(z,u) \ w) \ w),v5)). K(x,T(y / (K(T(z,u),T(z,u) \ w) \ w),v5)) = K(x,T(y / (T(z,u) * T(T(z,u) \ w,z)),v5)). K(x,T(y / (K(T(z,u),T(z,u) \ w) \ w),v5)) = K(x,T(y / ((z \ w) * z),v5)). K(x,T(y / (K(z,T(T(z,u) \ w,u)) \ w),v5)) = K(x,T(y / ((z \ w) * z),v5)). K(x,T(y / (K(z,z \ T(u,w)) \ u),v5)) = K(x,T(y / ((z \ u) * z),v5)). K(x,((y \ z) * y) / u) != w | K(x,T(z,y) / u) = w. K(x,(y * (z / y)) / u) != w | K(x,T(z,y) / u) = w. K(x,L(T(y,T(z,u)),w,v5)) != v6 | K(x,L(T(y,z),w,v5)) = v6. K(x,L(T(y,z * u),w,v5)) != v6 | K(x,L(T(y,u * z),w,v5)) = v6. L(K(x,y * K(z,u)),x,w) = (x * K(v5,v6)) \ (T(x,K(z,u) * y) * K(v5,v6)). L(K(x,y * K(z,T(u,w))),x,v5) = (x * K(v6,v7)) \ (T(x,K(u,z) * y) * K(v6,v7)). L(K(x,y * K(z,T(u * K(w,v5),v6))),x,v7) = (x * K(v8,v9)) \ (T(x,K(u,z) * y) * K(v8,v9)). x != (y * K(z,u)) \ (T(y,K(w,v5) * v6) * K(z,u)) | x = L(K(y,v6 * K(v5,T(w * K(v7,v8),v9))),y,v10). L(K(x,y * K(z,u)),x,w) = L(K(x,y * K(u,T(z * K(v5,v6),v7))),x,v8). L(K(x,y * K(z,T(u * K(w,v5),v6))),x,v7) = L(K(x,y * K(u,z)),x,v8). x != L(y,z,K((u \ (w \ u)) \ z,w)) | x = y. L(K(x,y * K(z,T(u * K(w,v5),v6))),x,v7) = K(x,y * K(u,z)). L(K(x,y * K(z,u * K(w,v5))),x,v6) = K(x,y * K(u,z)). K(x,y * K(z,u)) = K(x,y * K(u,z * K(w,v5))). K(x,y * K(z,u * K(w,v5))) = K(x,y * K(u,z)). K(x,K(y,K(z,u) * w) * v5) = K(x,v5 * K(w,y)). K(x,K(y,z * K(u,w)) * v5) = K(x,v5 * K(z,y)). K(x,K(y,T(z,u) * w) * v5) = K(x,v5 * K(z * w,y)). x != K(y,z * K(u,w)) | x = K(y,K(u,w) * z). K(x,K(y,K(z,u) * w) * v5) = K(x,K(w,y) * v5). K(x,K(y,K(z,u) * w) * v5) != v6 | K(x,K(w,y) * v5) = v6. K(x,K(y,z) * u) = K(x,u * K(K(w,v5) * y,z)). K(x,y * K(K(z,u) * w,v5)) = K(x,K(w,v5) * y). K(x,K(y,z * (T(u,w) \ v5)) * v6) != v7 | K(x,K(z * (u \ v5),y) * v6) = v7. K(x,K(y * K(z,u),w) * v5) != v6 | K(x,K(y,w) * v5) = v6. K(x,K(y,z) * (u * w)) = K(x,u * (w * K(y * K(v5,v6),z))). K(x,y * (z * K(u * K(w,v5),v6))) = K(x,K(u,v6) * (y * z)). x != K(y,K(z,T(u,w)) * v5) | x = K(y,v5 * K(z,u)). K(x,y * (z * K(u * K(w,v5),T(v6,v7)))) = K(x,(y * z) * K(u,v6)). K(x,K(y,z \ u) * w) = K(x,K(T(z,v5) \ u,y) * w). K(x,K(T(y,z) \ u,w) * v5) = K(x,K(w,y \ u) * 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 / u) \ w) * v5) = K(x,K(y,(u \ z) \ w) * v5). L(x,y,T(z * K(u,w),u \ z)) = L(x,y,T(u,w) * (z / u)). x * y != z * K(u,w) | T(K(u,w) * z,K(u,w)) / y = x. T(K(x,K(y,z * u)) * w,K(x,K(y,z * u))) / w = K(x,K(y,u * z)). K(x,y * (T(z * K(u,K(w,z * v5)),v5) * v5)) = K(x,y * T(v5 * z,K(u,w))). T(x,y) * (z * K(u,K(w,x * z))) = T(T(x,y) * z,K(u,w)). K(x,y * ((z \ T(u * z,K(w,v5))) * z)) = K(x,y * T(z * u,K(w,v5))). K(x,y * T(T(z * u,K(w,v5)),u)) = K(x,y * T(u * z,K(w,v5))). K(x,y * T(z * u,u)) = K(x,y * T(u * z,K(w,v5))). K(x,y * T(z * u,K(w,v5))) = K(x,y * T(u * z,z)). 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,u)) != w | K(x,y * (u * z)) = w. K(x,y * T(z,u)) = K(x,y * (u * (z / u))). K(x,y * (z * (u / z))) = K(x,y * T(u,z)). x * y != K(z,u * (w / T(v5,z))) | x \ K(z,u * (w / v5)) = y. K(x,K(y,T(z,x) \ u)) \ K(x,y * (u / z)) = K(x,(u / T(z,x)) * y). K(x,K(y,z \ u)) * K(x,y * (u / z)) != w | w = K(x,(u / z) * y). K(x,K(y,z \ u)) * K(x,y * (u / z)) != w | K(x,(u / z) * y) = w. K(x,K(y,z \ u)) \ K(x,y * (u / z)) = K(x,(u / T(z,x)) * y). K(x,K(y,z \ u)) * K(x,y * (u / z)) = K(x,(u / T(z,x)) * y). K(x,(y / T(z,x)) * u) != w | K(x,(y / z) * u) = w. K(x,y * T(z \ 1,u)) * K(x,K(y,z)) = K(x,T(z \ 1,u) * y). x != K(y,z / u) | x = K(y,z * (u \ 1)). K(x,y \ T(z,u)) * K(x,K(y,z)) = K(x,T(z,u) * (y \ 1)). K(x,y \ T(z,u)) * K(x,K(y,z)) = K(x,T(z,z * u) / y). x != K(y,z \ T(u,w)) * K(y,K(z,u)) | x = K(y,T(u,w) / z). K(x,T(y,y * z) / u) = K(x,T(y,z) / u). x != K(y,T(z,z * u) / w) | x = K(y,(z * K(u \ 1,z * u)) / w). K(x,T(y,z) / u) = K(x,(y * K(z \ 1,y * z)) / u). K(x,(y * K(z \ 1,y * z)) / u) = K(x,T(y,z) / u). K(x,y \ T(z,u)) * K(x,K(y,z)) != w | K(x,T(z,u) / y) = w. K(x,y \ T(z,u)) * K(x,K(z,y)) != w | K(x,T(z,u) / y) = w. K(x,K((y * z) \ u,z * y)) = K(x,K(y * z,u)). K(L(x,y,z),T(T(u,y * z),y)) = K((z * (x * y)) / (z * y),u). K((x * (y * z)) / (x * z),u) != w | K(L(y,z,x),T(T(u,z),x * z)) = w. K(x,L(y \ (z / u),u \ z,u)) = K(x,(u * y) \ T(z,u)). K(x,K(y,x \ (y \ T(z,u)))) \ K((y * x) \ z,T(y * x,u)) = K((y * x) \ T(z,u),x * y). K(x,K(y,y \ (x \ T(z,u)))) \ K((x * y) \ z,T(x * y,u)) = K((x * y) \ T(z,u),y * x). K(x,K(y,x \ T(z,u))) \ K((x * y) \ z,T(x * y,u)) = K((x * y) \ T(z,u),y * x). K(x,K(y,T(z,u))) \ K((x * y) \ z,T(x * y,u)) = K((x * y) \ T(z,u),y * x). K(x,K(y,z)) \ K((x * y) \ z,T(x * y,u)) = K((x * y) \ T(z,u),y * x). K(x,K(y,z)) * K((x * y) \ z,T(x * y,u)) = K((x * y) \ T(z,u),y * x). K((x * y) \ T(z,u),y * x) = T(K((x * y) \ z,x * y) * K(x,K(y,z)),u). T(K((x * y) \ z,x * y) * K(x,K(y,z)),u) = K((x * y) \ T(z,u),y * x). T(K(x \ (y \ z),x * y) * K(x,K(y,z)),u) = K((x * y) \ T(z,u),y * x). K(x,K(y,z) * (((y / z) * u) * w)) = K(x,(T(y / z,y) * u) * w). x != K(y,K(z,u) * (((z / u) * w) * v5)) | x = K(y,((u \ z) * w) * v5). K(x,(T(y / z,y) * u) * w) = K(x,((z \ y) * u) * w). x != K(y,(T(z / u,z) * w) * v5) | x = K(y,((T(z,u \ z) / u) * w) * v5). K(x,((y \ z) * u) * w) = K(x,((T(z,y \ z) / y) * u) * w). K(x,((T(y,z \ y) / z) * u) * w) = K(x,((z \ y) * u) * w). K(x,(T(y,z) * u) * w) = K(x,(((y \ z) \ z) * u) * w). K(x,(((y \ z) \ z) * u) * w) = K(x,(T(y,z) * u) * w). T(x,K(y \ z,y) * u) != w | T(x,K(z,y) * u) = w. K(x,(T(y,z * u) * (z * u)) \ w) = K(x,(T(u * z,u) * y) \ w). x != K(y,(T(z,u) * u) \ w) | x = K(y,(u * z) \ w). K(x,(T(y * z,y) * u) \ w) = K(x,((z * y) * u) \ w). K(x,(T(y,z) * u) \ w) = K(x,(((z \ y) * z) * u) \ w). K(x,(((y \ z) * y) * u) \ w) = K(x,(T(z,y) * u) \ w). K(x,T(y \ (z * u),y / u) \ 1) = K(x,(T(z,y / u) * u) \ y). K(x,T((y \ (z * u)) \ 1,y / u)) = K(x,(T(z,y / u) * u) \ y). K(x,T((y \ (z * u)) \ 1,u \ y)) = K(x,(T(z,y / u) * u) \ y). K(x,T((y * z) \ u,z \ u)) = K(x,(T(y,u / z) * z) \ u). K(x,(T(y,z / u) * u) \ z) = K(x,T((y * u) \ z,u \ z)). K(x,y / (T(z,y / u) * u)) * K(x,K(y,T(z,y / u) * u)) = K(x,T((z * u) \ y,u \ y)). K(x,(T(y,z / a(u \ 1,u,w)) * a(u \ 1,u,w)) \ z) = K(x,T((a(u \ 1,u,w) * y) \ z,a(u \ 1,u,w) \ z)). K(x,(T(y,a(z \ 1,z,u) \ w) * a(z \ 1,z,u)) \ w) = K(x,T((a(z \ 1,z,u) * y) \ w,a(z \ 1,z,u) \ w)). K(x * L(y * K(z,y),u,w),v5) = K(x * L(T(y,z),u,w),v5). x != K(y * L(T(z,u),w,v5),T(v6,z)) | x = K(L(T(z,u),w,v5) * y,v6). K(x * L(y * K(z,y),u,w),T(v5,y)) = K(L(T(y,z),u,w) * x,v5). K(x,y * ((z * u) / z)) = K(x,y * T(u,z)). K(x,y * (z / u)) = K(x,y * T(u \ z,u)). K(x,y * T(z \ u,z)) = K(x,y * (u / z)). K(x,(y / (z * u)) * z) = K(x,(y / (u * z)) * T(z,u)). K(x,(y / (z * u)) * T(u,z)) = K(x,(y / (u * z)) * u). K(x,y * T(T(z,u) \ w,z)) = K(x,y * (w / T(z,u))). x != K(y,z * T(u \ w,u)) | x = K(y,z * (T(u,w) \ 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 * ((z \ u) \ u)) = K(x,y * (u / (u / z))). K(x,y * (z / (z / u))) = K(x,y * ((u \ z) \ z)). K(x,y * T(((z \ u) \ u) \ w,T(z,u))) = K(x,y * (w / ((z \ u) \ u))). K(x,y * T(((z \ u) \ u) \ w,z)) = K(x,y * (w / ((z \ u) \ u))). x != K(y,z * ((u \ w) \ w)) | x = K(y,z * T(u,w)). K(x,y * (z / (z / u))) = K(x,y * T(u,z)). 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 * (L(z,u \ 1,u) / u)) = K(x,y * T((u \ 1) * z,L(z,u \ 1,u))). K(x,y * T((z \ 1) * u,L(u,z \ 1,z))) = K(x,y * (L(u,z \ 1,z) / z)). x != K(y,z * T(u,L(w,v5,v6))) | x = K(y,z * T(u,w)). K(x,y * (L(z,u \ 1,u) / u)) = K(x,y * T((u \ 1) * z,z)). K(x,y * T((z \ 1) * u,u)) = K(x,y * (L(u,z \ 1,z) / z)). K(x,y * (z * (u \ 1))) = K(x,y * (L(z,u \ 1,u) / u)). K(x,y * (L(z,u \ 1,u) / u)) = K(x,y * (z * (u \ 1))). K(x,y * ((z \ 1) * (z * u))) = K(x,y * ((u * z) * (z \ 1))). K(x,y * ((z \ 1) * (z * u))) = K(x,y * R(u,z,z \ 1)). x != K(y,z * ((u \ 1) * (u * w))) | x = K(y,z * L(w,u,u \ 1)). K(x,y * R(z,u,u \ 1)) = K(x,y * L(z,u,u \ 1)). K(x,y \ R(z,u,u \ 1)) = K(x,(y \ 1) * L(z,u,u \ 1)). K(x,(y \ 1) * L(z,u,u \ 1)) = K(x,y \ R(z,u,u \ 1)). x * y != K(z,u * R(w,v5,v5 \ 1)) | x \ K(z,u * L(w,v5,v5 \ 1)) = y. K(x,K(R(y,z,z \ 1),u)) \ K(x,u * L(y,z,z \ 1)) = K(x,R(y,z,z \ 1) * u). K(x,K(y,z)) \ K(x,z * L(y,u,u \ 1)) = K(x,R(y,u,u \ 1) * z). K(x,K(y,z)) * K(x,z * L(y,u,u \ 1)) = K(x,R(y,u,u \ 1) * z). x != K(y,K(z,u)) * K(y,u * L(z,w,v5)) | x = K(y,L(z,w,v5) * u). K(x,R(y,z,z \ 1) * u) = K(x,L(y,z,z \ 1) * u). K(x,R(y,z,z \ 1) / u) = K(x,L(y,z,z \ 1) * (u \ 1)). K(x,L(y,z,z \ 1) * (u \ 1)) = K(x,R(y,z,z \ 1) / u). K(x,R(y,z,z \ 1) / u) != w | K(x,L(y,z,z \ 1) / u) = w. K(x,y \ R(z,u,u \ 1)) != w | K(x,y \ L(z,u,u \ 1)) = w. x != K(y,z * (T(u * w,w) \ v5)) | x = K(y,z * ((w * u) \ v5)). K(x,y * (z / (u * z))) = K(x,y * ((z * u) \ z)). K(x,y * (z \ T(u,z))) = K(x,y * (u / z)). K(x,y * (T(z,u \ w) \ T(w / u,w))) = K(x,y * (T(w / u,w) / z)). K(x,y * (z / (y * z))) = 1. T(x,y * (z / (y * z))) = x. T(x * (y / (x * y)),z) = x * (y / (x * y)). T(x * ((x \ y) / y),z) = x * ((x \ y) / (x * (x \ y))). T(x * ((x \ y) / y),z) = x * ((x \ y) / y). (x \ (((1 / x) \ y) / y)) * x = ((1 / x) \ y) / y. (x \ (((1 / x) \ y) / y)) \ (((1 / x) \ y) / y) != z | z = x. x != K(y,z * (u \ T(w / v5,w))) | x = K(y,z * (u \ (v5 \ w))). K(x,y * (T(z / u,z) / w)) = K(x,y * (T(w,u \ z) \ (u \ z))). K(x,y * (T(z,u \ w) \ (u \ w))) = K(x,y * (T(w / u,w) / z)). x != K(y,z * (T(u,w) \ w)) | x = K(y,z * (w / u)). K(x,y * (T(z / u,z) / w)) = K(x,y * ((u \ z) / w)). x != T(y,z * T(u,u \ w)) | x = T(y,z * T(u,w)). T(x,y * (z / (z / u))) = T(x,y * T(u,z)). T(x,y * (z / u)) = T(x,y * T(u \ z,z)). T(x,y * T(z \ u,u)) = T(x,y * (u / z)). T(x,y / ((z * (z \ u)) / z)) = T(x,y / (((z \ u) \ u) \ u)). T(x,y / (((z \ u) \ u) \ u)) = T(x,y / ((z * (z \ u)) / z)). T(x,y / (((z \ u) \ u) \ u)) = T(x,y / (u / z)). x != T(y,z / ((u \ w) \ w)) | x = T(y,z / T(u,w)). T(x,y / (z / u)) = T(x,y / T(u \ z,z)). T(x,y / T(z \ u,u)) = T(x,y / (u / z)). x * y != T(z,u / T(w \ v5,v5)) | T(x,y) = y \ T(z,u / (v5 / w)). T(K(x,L(y / T(z \ u,u),w,v5)),L(x \ 1,w,v5) \ 1) = (L(x \ 1,w,v5) \ 1) \ T(L(x \ 1,w,v5) \ 1,y / (u / z)). (L(x \ 1,y,z) \ 1) \ T(L(x \ 1,y,z) \ 1,u / (w / v5)) = T(K(x,L(u / T(v5 \ w,w),y,z)),L((x \ 1) \ 1,y,z)). T(K(x,L(y / T(z \ u,u),w,v5)),L((x \ 1) \ 1,w,v5)) = (L(x \ 1,w,v5) \ 1) \ T(L(x \ 1,w,v5) \ 1,y / (u / z)). T(K(x,L(y / T(z \ u,u),w,v5)),L(T(x,1),w,v5)) = (L(x \ 1,w,v5) \ 1) \ T(L(x \ 1,w,v5) \ 1,y / (u / z)). T(K(x,L(y / T(z \ u,u),w,v5)),L(x,w,v5)) = (L(x \ 1,w,v5) \ 1) \ T(L(x \ 1,w,v5) \ 1,y / (u / z)). K(x,L(y / T(z \ u,u),w,v5)) = (L(x \ 1,w,v5) \ 1) \ T(L(x \ 1,w,v5) \ 1,y / (u / z)). K(x,L(y / T(z \ u,u),w,v5)) = K(L(x \ 1,w,v5) \ 1,y / (u / z)). K(L(x \ 1,y,z) \ 1,u / (w / v5)) = K(x,L(u / T(v5 \ w,w),y,z)). K((x \ 1) \ 1,L(y / (z / u),w,v5)) = K(x,L(y / T(u \ z,z),w,v5)). K(x,L(y / (z / u),w,v5)) = K(x,L(y / T(u \ z,z),w,v5)). K(x,L(y / T(z \ u,u),w,v5)) = K(x,L(y / (u / z),w,v5)). x != a(y * z,u,K(w,z)) | x = a(y,u,K(w,z)). a(x,y,K(z,x * u)) = a(x,y,K(z,u)). a(x,y,K(z,u)) = a(x,y,K(z,x \ u)). a(x,y,K(z,x \ u)) = a(x,y,K(z,u)). a(T(x,y),z,K(u,w)) != v5 | a(x,z,K(u,w)) = v5. (x \ y) \ T(z * T(x \ y,K(u,x)),K(u,u \ x)) = T(z,(u * (x / u)) \ y). (x \ y) \ T(z * T(x \ y,K(x,u)),K(u,u \ x)) = T(z,(u * (x / u)) \ y). (x \ y) \ T(z * T(x \ y,K(x,u)),K(x,u)) = T(z,(u * (x / u)) \ y). T(x,K(y,z) * (z \ u)) = T(x,(y * (z / y)) \ u). T(x,(y * (z / y)) \ u) = T(x,K(y,z) * (z \ u)). T(x,(y * (z / y)) \ u) = T(x,T(z,y) \ u). T(x,(y * z) \ u) = T(x,T(z * y,y) \ u). T(x,T(y * z,z) \ u) = T(x,(z * y) \ u). x != T(y,T(z * u,u) \ T(w,u * z)) | x = T(y,w / T(z * u,u)). 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 / T(z,u)) = T(x,y / (u * (z / u))). T(x,y / (z * (u / z))) = T(x,y / T(u,z)). x != T(y,z / (u * ((u * w) / u))) | x = T(y,z / (T(u,w) * w)). T(x,y / T(z * u,z)) = T(x,y / (T(z,u) * u)). R(T(x,y),z,(K(y,x) * z) \ K(y,x)) = ((x * z) * L(z \ 1,z,K(y,x))) * K(x,y). R(T(x,y),z,z \ 1) = ((x * z) * L(z \ 1,z,K(y,x))) * K(x,y). ((x * y) * L(y \ 1,y,K(z,x))) * K(x,z) = R(T(x,z),y,y \ 1). ((x * y) * (y \ 1)) * K(x,z) = R(T(x,z),y,y \ 1). R(x,y,y \ 1) * K(x,z) = R(T(x,z),y,y \ 1). x * y != R(z,u,u \ 1) * K(z,w) | T(x,y) = y \ R(T(z,w),u,u \ 1). T(R(x,y,y \ 1) / x,T(x,z)) = T(x,z) \ R(T(x,z),y,y \ 1). K(x / (K(y,z) / R(y,u,u \ 1)),T(w,R(T(y,z),u,u \ 1))) = K((K(y,z) / R(y,u,u \ 1)) \ x,w). K(x / (K(y,z) / R(y,u,u \ 1)),T(w,L(T(y,z),u,u \ 1))) = K((K(y,z) / R(y,u,u \ 1)) \ x,w). K(x / (K(y,z) / R(y,u,u \ 1)),T(w,T(y,z))) = K((K(y,z) / R(y,u,u \ 1)) \ x,w). K(x / (K(y,z) / R(y,u,u \ 1)),T(w,y)) = K((K(y,z) / R(y,u,u \ 1)) \ x,w). T(a(x,y,y \ 1),T(x,z)) = T(x,z) \ R(T(x,z),y,y \ 1). T(x,y) \ R(T(x,y),z,z \ 1) = T(a(x,z,z \ 1),T(x,y)). x != T(a(y,z,z \ 1),u) | x = a(y,z,z \ 1). T(x,y) \ R(T(x,y),z,z \ 1) = a(x,z,z \ 1). a(T(x,y),z,z \ 1) = a(x,z,z \ 1). a(L(T(x,y),z,u),w,w \ 1) = a(L(x,z,u),w,w \ 1). a(x \ y,z,z \ 1) = a(y / x,z,z \ 1). a(x / y,z,z \ 1) = a(y \ x,z,z \ 1). a(x * y,z,z \ 1) != u | a(y * x,z,z \ 1) = u. a(R(x,x \ y,z),u,u \ 1) = a(((x \ y) * z) \ (y * z),u,u \ 1). a((x * (y \ z)) \ (x * z),u,u \ 1) = a(L(y,y \ z,x),u,u \ 1). a(L(x,x \ y,z),u,u \ 1) = a((z * (x \ y)) \ (z * y),u,u \ 1). (K(x,K(y,T(z,x * u))) * u) * (T(x,u) * K(y,z)) = (x * K(y,T(z,x * u))) * u. (K(x,K(y,z)) * u) * (T(x,u) * K(y,z)) = (x * K(y,T(z,x * u))) * u. K(x,T(y / ((z \ u) * z),z \ u)) != w | K(x,u \ T(y,z)) = w. K(x,T(L((y / z) / u,u,z),w)) = K(x,T(y / (u * z),w)). L(K(x,T((y / z) / u,w)),u,z) = K(x,T(y / (u * z),w)). ((K(x,y) * z) * u) * a(x,z,K(u,y)) = (K(x,L(y,z,u)) * z) * u. x != (y * z) * a(u,w,K(z,v5)) | x = y * L(z,w,K(v5,u)). (K(x,L(y,z,u)) * z) * u = (K(x,y) * z) * L(u,z,K(y,x)). K(x,L(y,z,u)) * ((y \ z) * u) = (T(y,x) \ z) * u. K(x,L(y,z,L(u,K(x,y),z))) \ (z * (K(x,T(y,z)) * u)) = z * L(u,K(x,y),z). K(L(x,y,L(z,K(u,x),y)),u) * (y * (K(u,T(x,y)) * z)) = y * L(z,K(u,x),y). K(x,L(y,z,L(u,K(y,x),z))) * (z * (K(y,T(x,z)) * u)) = z * L(u,K(y,x),z). K(x,y / (z * (u \ y))) = K(x,L(u / z,u,u \ y)). K(x,L(y / z,y,y \ u)) = K(x,u / (z * (y \ u))). x != L(K(y,T(z,u)),u,w) * (w * u) | x = w * (K(y,T(z,w * u)) * u). (K(x,T(y,z)) * z) * T(u,z) = u * (K(x,T(y,u * z)) * z). x != (K(y,T(z,u)) * u) * w | x = (u * K(y,z)) * w. x * (K(y,T(z,x * u)) * u) = (u * K(y,z)) * T(x,u). x * (K(y,T(z,u)) * (x \ u)) = ((x \ u) * K(y,z)) * T(x,x \ u). ((x \ y) * K(z,u)) * T(x,x \ y) = x * (K(z,T(u,y)) * (x \ y)). K((x * (K(y,T(z,x * (u \ 1))) * (1 / u))) \ w,v5) = K((((u \ 1) * K(y,z)) * T(x,u \ 1)) \ w,v5). K((x \ 1) \ (K(y,T(z,x * u)) * u),w) = K((u * K(y,z)) * T(x,u),w). K(x,y * ((z * K(u,w)) * T(v5,z))) = K(x,y * (v5 * (K(u,w) * z))). K((x * (K(y,T(z,u \ x)) * (1 / u))) \ w,v5) = K((((u \ 1) * K(y,z)) * T(x,u \ 1)) \ w,v5). K((((x \ 1) * K(y,z)) * T(u,x \ 1)) \ w,v5) = K((u * (K(y,T(z,x \ u)) * (1 / x))) \ w,v5). K((((x \ 1) * K(y,z)) * T(u,x \ 1)) \ w,v5) = K((u * (K(y,T(z,x \ u)) / x)) \ w,v5). 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). a(x,y,K(z,u)) * (w * K(v5,v6)) = (w * a(x,y,K(z,u))) * K(v5,v6). (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). K(L(x * K(y,x),y,K(z,u)),T(w,y)) != v5 | K((y * K(z,u)) \ ((y * x) * K(z,u)),w) = v5. K((x * K(y,z)) \ ((x * u) * K(y,z)),w) = K(u * K(x,u),T(w,x)). K((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(L(x,y,z),T(T(u,y * z),y)) = K((y * z) \ ((y * x) * z),u). x != K(L(y,z,u),T(T(w,z * u),z)) | x = K((u * (y * z)) / (u * z),w). K((x * y) \ ((x * z) * y),u) = K((y * (z * x)) / (y * x),u). K((x * (y * z)) / (x * z),u) = K((z * x) \ ((z * y) * x),u). K(L(x,y,z),T(T(u,y),z * y)) = K((y * z) \ ((y * x) * z),u). K(x,L(T(T(y,z),u * z),z,u)) = K((z * u) \ ((z * x) * u),y). x != K(y,L(T(z,u),u,w)) * (w * u) | x = (w * u) * K(y,(w * (z * u)) / (w * u)). (K(x,T(y,z)) * z) * T(u,z) = (u * z) * K(x,(u * (y * z)) / (u * z)). (x * y) * K(z,(x * (u * y)) / (x * y)) = (K(z,T(u,y)) * y) * T(x,y). T((K(x,y) * z) * T(u,z),K(x,L(y,z,u))) = u * (z * K(x,y)). T((K(x,y) * z) * T(u,z),K(x,y)) = u * (z * K(x,y)). K(x * (y * K(z,u)),w) = K((K(z,u) * y) * T(x,y),w). K((K(x,y) * z) * T(u,z),w) = K(u * (z * K(x,y)),w). x != T(y * T(y \ z,u),w) | x = T(y,w) * T(T(y,w) \ T(z,w),u). ((K(x,y) * z) \ u) * (z * K(x,y)) = T(K(x,y) * z,K(x,y)) * T(T(K(x,y) * z,K(x,y)) \ T(u,K(x,y)),z). T(K(x,y) * z,K(x,y)) * T(T(K(x,y) * z,K(x,y)) \ T(u,K(x,y)),z) = ((K(x,y) * z) \ u) * (z * K(x,y)). (x * K(y,z)) * T(T(K(y,z) * x,K(y,z)) \ T(u,K(y,z)),x) = ((K(y,z) * x) \ u) * (x * K(y,z)). (x * K(y,z)) * T((x * K(y,z)) \ T(u,K(y,z)),x) = ((K(y,z) * x) \ u) * (x * K(y,z)). x != K((K(y,z) * u) * w,v5) | x = K((u * K(y,z)) * w,v5). K(x * (y * K(z,u)),w) = K((y * K(z,u)) * T(x,y),w). K((x * K(y,z)) * T(u,x),w) = K(u * (x * K(y,z)),w). x != K(y * (z * K(u,w)),v5) | x = K(y * (z * K(w,u)),v5). K((x * K(y,z)) * T(u,x),w) = K(u * (x * K(z,y)),w). x != K(y * (z * K(u,w)),v5) | x = K((y * K(w,u)) * z,v5). K((x * K(y,z)) * T(u,x),w) = K((u * K(y,z)) * x,w). (x * y) * K(z,(x * (u * y)) / (x * y)) = (y * K(z,u)) * T(x,y). x * K(y,(z * (u * (z \ x))) / (z * (z \ x))) = ((z \ x) * K(y,u)) * T(z,z \ x). (x * y) \ ((y * K(z,u)) * T(x,y)) != w | w = K(z,(x * (u * y)) / (x * y)). (x * y) \ ((y * K(z,u)) * T(x,y)) != w | K(z,(x * (u * y)) / (x * y)) = w. K(x,(y * (z * u)) / (y * u)) = (u * y) \ ((u * K(x,z)) * y). (x * y) \ ((x * K(z,u)) * y) = K(z,(y * (u * x)) / (y * x)). (x * y) \ ((x * K(z,u)) * y) != w | K(z,(y * (u * x)) / (y * x)) = w. x * K(y,(z * (u * (z \ x))) / x) = ((z \ x) * K(y,u)) * T(z,z \ x). ((x \ y) * K(z,u)) * T(x,x \ y) = y * K(z,(x * (u * (x \ y))) / y). x != ((y \ z) * K(u,w)) * T(y,y \ z) | x = y * (K(u,T(w,z)) * (y \ z)). x * K(y,(z * (u * (z \ x))) / x) = z * (K(y,T(u,x)) * (z \ x)). x != K(y,L(z,K(u,y) * w,v5)) | x = K(y,L(z,w,v5)). x \ (y * ((K(z,u) * y) \ x)) = K(u,L(T(z,x),y,(K(z,u) * y) \ x)). K(x,L(T(y,z),u,(K(y,x) * u) \ z)) = z \ (u * ((K(y,x) * u) \ z)). K(x,L(T(T(y,z),z * u),z,u)) != w | K(x,(u * (y * z)) / (u * z)) = w. K(x,(y * (z * u)) / (y * u)) = (K(T(z,u),L(x,u,y)) * (u * y)) \ (u * y). (K(T(x,y),L(z,y,u)) * (y * u)) \ (y * u) = K(z,(u * (x * y)) / (u * y)). (K(x,T(L(y,z,u),z)) * (z * u)) \ (z * u) = K(y,(u * (x * z)) / (u * z)). (K(x,L(T(y,z),z,u)) * (z * u)) \ (z * u) = K(y,(u * (x * z)) / (u * z)). ((K(x,T(y,z)) * z) * u) \ (z * u) = K(y,(u * (x * z)) / (u * z)). ((x * K(y,z)) * u) \ (x * u) = K(z,(u * (y * x)) / (u * x)). K(K(x,L(T(y,z),z,u)),(z * K(x,y)) * u) != w | K((z * u) \ ((z * K(x,y)) * u),(z * K(x,y)) * u) = w. K(x,L(y,z,u)) \ ((x \ z) * u) = T(R(x,x \ z,u),y) \ (z * u). T(R(x,x \ y,z),u) \ (y * z) = K(x,L(u,y,z)) \ ((x \ y) * z). T(R(x,x \ y,z),u) \ (y * z) = K(L(u,y,z),x) * ((x \ y) * z). T(R(x,x \ y,z),u) \ (y * z) = K(u,L(x,y,z)) * ((x \ y) * z). R(T(x,y),x \ z,u) \ (z * u) = K(y,L(x,z,u)) * ((x \ z) * u). x != K(y,L(z,u,w)) * ((z \ u) * w) | x = (T(z,y) \ u) * w. R(T(x,y),x \ z,u) \ (z * u) = (T(x,y) \ z) * u. K(x,y * ((T(z,u) \ w) * v5)) = K(x,y * ((z \ w) * (v5 * K(u,z)))). K(x,y * ((z \ u) * (w * K(v5,z)))) = K(x,y * ((T(z,v5) \ u) * w)). K(x,y * ((z \ u) * (w * K(z \ v5,z)))) = K(x,y * ((((z \ v5) \ v5) \ u) * w)). K(x,y * ((((z \ u) \ u) \ w) * v5)) = K(x,y * ((z \ w) * (v5 * K(z \ u,z)))). x != K(y,z * (u * (w * K(v5 \ v6,v5)))) | x = K(y,z * (u * (w * K(v6,v5)))). K(x,y * ((((z \ u) \ u) \ w) * v5)) = K(x,y * ((z \ w) * (v5 * K(u,z)))). x != K(y,z * ((u \ w) * (v5 * K(v6,u)))) | x = K(y,z * ((T(u,v6) \ w) * v5)). K(x,y * ((((z \ u) \ u) \ w) * v5)) = K(x,y * ((T(z,u) \ w) * v5)). K(x,y * T(((z \ u) \ u) \ w,v5)) = K(x,y * ((T(z,u) \ w) * K(v5,((z \ u) \ u) \ w))). K(x,y * ((T(z,u) \ w) * K(v5,((z \ u) \ u) \ w))) = K(x,y * T(((z \ u) \ u) \ w,v5)). K(x,y * ((T(z,u) \ w) * K(v5,T(z,u) \ w))) = K(x,y * T(((z \ u) \ u) \ w,v5)). K(x,y * T(T(z,u) \ w,v5)) = K(x,y * T(((z \ u) \ u) \ w,v5)). K(x,y * T(((z \ u) \ u) \ w,v5)) = K(x,y * T(T(z,u) \ w,v5)). x != K(y,z * T(((u \ w) \ w) \ v5,u)) | x = K(y,z * (v5 / ((u \ w) \ w))). K(x,y * T(T(z,u) \ w,z)) = K(x,y * (w / ((z \ u) \ u))). x != K(y,z * T(T(u,w) \ v5,u)) | x = K(y,z * (v5 / T(u,w))). K(x,y * (z / ((u \ w) \ w))) = K(x,y * (z / T(u,w))). K(x,y * (z / T((u \ w) \ w,v5))) = K(x,y * (z / T(T(u,v5),w))). x != K(y / (z \ 1),u) | x = K(y * z,u). K((x * y) / ((z \ 1) * y),u) = K(x * z,L(u,z \ 1,y)). K(((x \ y) * x) / (z * x),u) != w | K((x * z) \ y,T(u,z)) = w. K((x * y) \ z,T(u,y)) = K(((x \ z) * x) / T(y * x,K(w,v5)),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) \ z,T(u,y)) != w | K(((x \ z) * x) / (y * x),u) = w. x != K((y * L(K(z,u),w,v5)) \ v6,v7) | x = K(y \ (L(K(u,z),w,v5) * v6),v7). 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). K(((x \ y) * x) / (L(K(z,u),w,v5) * x),v6) = K(x \ (L(K(u,z),w,v5) * y),v6). K(((x \ y) * x) / (K(z,u) * x),w) = K((x * K(z,u)) \ y,w). K((x * y) / (K(z,u) * y),w) = K((y * K(z,u)) \ (y * x),w). x != K((y * K(z,u)) \ w,v5) | x = K(y \ (K(u,z) * w),v5). K((x * y) / (K(z,u) * y),w) = K(y \ (K(u,z) * (y * x)),w). K(((x / y) * z) / ((y \ 1) * z),u) = K(x,L(u,y \ 1,z)). K(T(x \ y,K(z,x)) / ((u \ 1) * K(x \ z,x)),w) = K(((z / (z / x)) \ y) * u,L(w,u \ 1,K(x \ z,x))). K(T(x \ y,K(x,z)) / ((u \ 1) * K(x \ z,x)),w) = K(((z / (z / x)) \ y) * u,L(w,u \ 1,K(x \ z,x))). K(T(x \ y,K(x,z)) / (u \ K(x \ z,x)),w) = K(((z / (z / x)) \ y) * u,L(w,u \ 1,K(x \ z,x))). x / (K(y,L(z,u \ 1,w)) * x) = K(z,((y / u) * w) / ((u \ 1) * w)). K(x,((y / z) * u) / ((z \ 1) * u)) = w / (K(y,L(x,z \ 1,u)) * w). x != (K(y,z) * u) / (K(y,z) * (K(w,v5) * u)) | x = K(v5,w). K(x,((y / z) * u) / ((z \ 1) * u)) = K(L(x,z \ 1,u),y). K(x,((y / z) * u) / ((z \ 1) * u)) != w | K(x,L(y,z \ 1,u)) = w. R(x,y,y \ 1) * T(z,x) = z * R(x,y,y \ 1). R(x,y,y \ 1) * (x \ z) = (z / x) * R(x,y,y \ 1). K((1 / x) \ R(y,z,z \ 1),u) = K(R(y,z,z \ 1) * T(x,y),u). x != R(y,z,z \ 1) * (y \ u) | x = a(y,z,z \ 1) * u. (x / y) * R(y,z,z \ 1) = a(y,z,z \ 1) * x. R(R(x,x \ y,z),u,u \ 1) * ((x \ y) * z) = ((y * z) / R(x,x \ y,z)) * R(R(x,x \ y,z),u,u \ 1). ((x * y) / R(z,z \ x,y)) * R(R(z,z \ x,y),u,u \ 1) = R(R(z,z \ x,y),u,u \ 1) * ((z \ x) * y). K(x,R(y,z,z \ 1) * (y \ u)) = K(x,(u / y) * L(y,z,z \ 1)). x * R(y,z,z \ 1) = a(y,z,z \ 1) * (x * y). a(x,y,y \ 1) * (z * x) = z * R(x,y,y \ 1). L(a(L(x,y / x,z),u,u \ 1),L(x,y / x,z),z * (y / x)) = (z * ((y / x) * x)) \ (z * (a(x,u,u \ 1) * y)). K(x,a(y,z,z \ 1) * u) = K(x,(u / y) * L(y,z,z \ 1)). K(x,(y / z) * L(z,u,u \ 1)) = K(x,a(z,u,u \ 1) * y). L(a(L(x,x \ y,z),u,u \ 1),L(x,y / x,z),z * (y / x)) = (z * ((y / x) * x)) \ (z * (a(x,u,u \ 1) * y)). L(a(L(x,x \ y,z),u,u \ 1),L(x,x \ y,z),z * (y / x)) = (z * ((y / x) * x)) \ (z * (a(x,u,u \ 1) * y)). x * y != a(z,u,u \ 1) * (w * z) | x \ (w * R(z,u,u \ 1)) = y. (x * y) \ (x * R(y,z,z \ 1)) = a(y,z,z \ 1). L(a(x,y,y \ 1),x,z) = a(x,y,y \ 1). x != L(a(L(y,y \ z,u),w,w \ 1),L(y,y \ z,u),u * (z / y)) | x = (u * ((z / y) * y)) \ (u * (a(y,w,w \ 1) * z)). a(L(x,x \ y,z),u,u \ 1) = (z * ((y / x) * x)) \ (z * (a(x,u,u \ 1) * y)). (x * ((y / z) * z)) \ (x * (a(z,u,u \ 1) * y)) = a(L(z,z \ y,x),u,u \ 1). (x * y) \ (x * (a(z,u,u \ 1) * y)) = a(L(z,z \ y,x),u,u \ 1). a(L(x,x \ y,z),u,u \ 1) = (z * y) \ (z * (a(x,u,u \ 1) * y)). a(L(x,x \ y,z),u,u \ 1) = L(T(a(x,u,u \ 1),y),y,z). L(T(a(x,y,y \ 1),z),z,u) = a(L(x,x \ z,u),y,y \ 1). L(a(x,y,y \ 1),z,u) = a(L(x,x \ z,u),y,y \ 1). a(L(x,x \ y,z),u,u \ 1) = L(a(x,u,u \ 1),y,z). x != a(L(y,y \ z,u),w,w \ 1) | x = a((u * (y \ z)) \ (u * z),w,w \ 1). L(a(x,y,y \ 1),z,u) = a((u * (x \ z)) \ (u * z),y,y \ 1). a((x * (y \ z)) \ (x * z),u,u \ 1) = L(a(y,u,u \ 1),z,x). a((x * ((x \ (y \ z)) * x)) \ (((y \ z) / ((y \ z) / x)) * z),u,u \ 1) = L(a(y,u,u \ 1),z,(y \ z) / ((y \ z) / x)). x != K(y,R(z,u,u \ 1) * w) | x = K(y,L(z,u,u \ 1) * w). K(x,(y / z) * L(z,u,u \ 1)) = K(x,L(z,u,u \ 1) * (z \ y)). K(x,L(y,z,z \ 1) * (y \ u)) = K(x,(u / y) * L(y,z,z \ 1)). ((x * y) / R(z,z \ x,y)) * R(R(z,z \ x,y),u,u \ 1) != w | (R(z,u,u \ 1) * (z \ x)) * y = w. (R(x,y,y \ 1) * (x \ z)) * u = a(R(x,x \ z,u),y,y \ 1) * (z * u). a(R(x,x \ y,z),u,u \ 1) * (y * z) = (R(x,u,u \ 1) * (x \ y)) * z. a(R(x,x \ y,z),u,u \ 1) * (y * z) = (a(x,u,u \ 1) * y) * z. a(R(x,x \ y,z),u,u \ 1) = R(a(x,u,u \ 1),y,z). x != a(R(y,y \ z,u),w,w \ 1) | x = a(((y \ z) * u) \ (z * u),w,w \ 1). R(a(x,y,y \ 1),z,u) = a(((x \ z) * u) \ (z * u),y,y \ 1). a(((x \ y) * z) \ (y * z),u,u \ 1) = R(a(x,u,u \ 1),y,z). K(x \ K(y,z),x) * K(z,y) = 1 / (x * (K(y,z) / x)). x != a(y,T((z \ u) * z,w),v5) | x = a(y,T(T(u,w),z),v5). a(x,T(y,z) * (y \ z),u) = a(x,T(T((y * z) / y,y \ z),y),u). a(x,T(T((y * z) / y,y \ z),y),u) = a(x,T(y,z) * (y \ z),u). a(x,T(y,z \ y),u) = a(x,T(z,y) * (z \ y),u). a(x,T(y,z) * (y \ z),u) = a(x,T(z,y \ z),u). a(x,K(y,z) * z,u) = a(x,T(z,y \ z),u). a(x,y * K(z,y),u) = a(x,T(y,z \ y),u). (x \ (L(1 / x,x,y) \ 1)) * T(z,x \ (((y * x) \ y) \ 1)) = z * ((x \ 1) / ((x * ((y * x) \ y)) * (x \ 1))). x != R(y,z,u \ (1 / w)) | x = R(y,z,u \ (w \ 1)). ((x * ((y * x) \ y)) * z) * ((x * ((y * x) \ y)) \ 1) = R(z,x * ((y * x) \ y),x \ (((y * x) \ y) \ 1)). ((x * ((y * x) \ y)) * z) * (x \ (1 / ((y * x) \ y))) = R(z,x * ((y * x) \ y),x \ (((y * x) \ y) \ 1)). (x * (y * ((z * y) \ z))) \ R(x,y * ((z * y) \ z),y \ (1 / ((z * y) \ z))) = y \ (1 / ((z * y) \ z)). (x * (y * ((z * y) \ z))) \ R(x,y * ((z * y) \ z),y \ (((z * y) \ z) \ 1)) = y \ (1 / ((z * y) \ z)). L(x \ 1,x,y) * L(L(x \ 1,x,y) \ 1,z,u) = L((x \ 1) * L((x \ 1) \ 1,z,u),x,T(y,w)). L((x \ 1) * L((x \ 1) \ 1,y,z),x,T(u,w)) = L(x \ 1,x,u) * L(L(x \ 1,x,u) \ 1,y,z). L((x \ 1) * L((x \ 1) \ 1,y,z),x,T(u,w)) = L((x \ 1) * L((x \ 1) \ 1,y,z),x,u). L((x \ 1) * L((x \ 1) \ 1,y,z),x,T(u,w)) = L(x \ L(x,y,z),x,u). L(x \ L(x,y,z),x,T(u,w)) = L(x \ L(x,y,z),x,u). a((x * y) \ z,x,y) * z = ((z / (x * y)) * x) * y. a(K(x,y) * z,y,x) * ((x * y) * z) = ((((x * y) * z) / (y * x)) * y) * x. a(x,y,z) * ((z * y) * x) = ((((z * y) * x) / (y * z)) * y) * z. x != ((((y * z) * u) / (z * y)) * z) * y | x = (y * z) * R(u,z,y). a(x,y,z) * ((z * y) * x) = (z * y) * R(x,y,z). (a(x,y,y \ 1) * z) * u = (z * u) * R(a(x,y,y \ 1),u,z). (x * y) * R(a(z,u,u \ 1),y,x) = (a(z,u,u \ 1) * x) * y. a(x,y,K(z,u \ w)) = a(x,y,K(z,u \ (x \ w))). a(x,y,K(z,u \ (x \ w))) = a(x,y,K(z,u \ w)). K(L(x,y,z),x \ u) * ((u / x) \ ((x \ u) * L(x,y,z))) = T(T(L(x,y,z) * K(u,x),u),K(L(x,y,z),x \ u)). K(x,L(x \ y,z,u)) * ((y / x) \ ((x \ y) * L(x,z,u))) = T(T(L(x,z,u) * K(y,x),y),K(L(x,z,u),x \ y)). K(x,L(x \ y,z,u)) * (K(x \ y,x) * L(x,z,u)) = T(T(L(x,z,u) * K(y,x),y),K(L(x,z,u),x \ y)). T(T(L(x,y,z) * K(u,x),u),K(L(x,y,z),x \ u)) = K(x,L(x \ u,y,z)) * (K(x \ u,x) * L(x,y,z)). x != K(y,L(z,u,w)) * (K(z,y) * v5) | x = v5 * a(y,u,K(w,z)). T(T(L(x,y,z) * K(u,x),u),K(L(x,y,z),x \ u)) = L(x,y,z) * a(x,y,K(z,x \ u)). T(T(L(x,y,z) * K(u,x),u),K(L(x,y,z),x \ u)) = L(x,y,z) * a(x,y,K(z,u)). T(T(L(x,y,z) * K(u,x),u),K(x,x \ u)) = L(x,y,z) * a(x,y,K(z,u)). T(T(L(x,y,z) * K(u,x),u),K(x,u)) = L(x,y,z) * a(x,y,K(z,u)). T(L(x,y,z) * K(u,x),T(u,x)) = L(x,y,z) * a(x,y,K(z,u)). x != T(y * K(z,u),T(z,u)) | x = T(K(z,u) * y,z). L(x,y,z) * a(x,y,K(z,u)) = T(K(u,x) * L(x,y,z),u). T(K(x,y) * L(y,z,u),x) = L(y,z,u) * a(y,z,K(u,x)). K(x,L(y,z,(u * w) \ u)) != v5 | K(x,L(y,z,w \ 1)) = v5. K(x,L(y,z,(u * w) \ w)) != v5 | K(x,L(y,z,u \ 1)) = v5. K(x,L(y,z,u \ 1)) = K(x,L(y,z,(w * u) \ w)). K(x,L(y,z,(u * w) \ u)) = K(x,L(y,z,w \ 1)). K(x,L(y,z,u \ w)) = K(x,L(y,z,(w \ u) \ 1)). K(x,L(y,z,(u \ w) \ 1)) = K(x,L(y,z,w \ u)). K(x,y) = K(x,L(y,z \ u,u \ z)). K(x,L(y,z \ u,u \ z)) = K(x,y). K(x,((y \ z) * (z \ y)) \ u) = K(x,(z \ y) \ ((y \ z) \ u)). K(x,(y * ((z * y) \ z)) \ u) = K(x,((z * y) \ z) \ ((z \ (z * y)) \ u)). K(x,((y * z) \ y) \ ((y \ (y * z)) \ u)) = K(x,(z * ((y * z) \ y)) \ u). K(x,(((y * z) \ y) * z) \ u) = K(x,(y \ (y * z)) \ (((y * z) \ y) \ u)). K(x,(y \ (y * z)) \ (((y * z) \ y) \ u)) = K(x,(((y * z) \ y) * z) \ u). K(x,(y * (z \ (z / y))) \ u) = K(x,(z \ (z / y)) \ (((z / y) \ z) \ u)). K(x,(y \ (y / z)) \ (((y / z) \ y) \ u)) = K(x,(z * (y \ (y / z))) \ u). K(x,((y \ (y / z)) * z) \ u) = K(x,((y / z) \ y) \ ((y \ (y / z)) \ u)). K(x,((y / z) \ y) \ ((y \ (y / z)) \ u)) = K(x,((y \ (y / z)) * z) \ u). K(x,y \ ((z \ (z / y)) \ u)) = K(x,((z \ (z / y)) * y) \ u). K(x,((y \ (y / z)) * z) \ u) = K(x,z \ ((y \ (y / z)) \ u)). K(x,(y \ (y / z)) \ (z \ u)) = K(x,(z * (y \ (y / z))) \ u). K(x,(y * (z \ (z / y))) \ u) = K(x,(z \ (z / y)) \ (y \ u)). K(x,y \ (((z * y) \ z) \ u)) = K(x,(((z * y) \ z) * y) \ u). K(x,(((y * z) \ y) * z) \ u) = K(x,z \ (((y * z) \ y) \ u)). K(x,((y * z) \ y) \ (z \ u)) = K(x,(z * ((y * z) \ y)) \ u). K(x,(y * ((z * y) \ z)) \ u) = K(x,((z * y) \ z) \ (y \ u)). K(x,((y * ((z \ 1) \ 1)) \ y) \ ((y \ (y * ((z \ 1) \ 1))) \ u)) = K(x,(((z \ 1) \ 1) * ((((y * z) \ y) \ 1) \ 1)) \ u). x != K(y,(((z \ u) \ u) * w) \ v5) | x = K(y,(T(z,u) * w) \ v5). K(x,((y * ((z \ 1) \ 1)) \ y) \ ((y \ (y * ((z \ 1) \ 1))) \ u)) = K(x,(T(z,1) * ((((y * z) \ y) \ 1) \ 1)) \ u). K(x,((y * ((z \ 1) \ 1)) \ y) \ ((y \ (y * ((z \ 1) \ 1))) \ u)) = K(x,(z * ((((y * z) \ y) \ 1) \ 1)) \ u). K(x,((y * ((z \ 1) \ 1)) \ y) \ ((y \ (y * ((z \ 1) \ 1))) \ u)) = K(x,(((y * z) \ y) * z) \ u). x != K(y,(((z * u) \ z) * u) \ w) | x = K(y,u \ (((z * u) \ z) \ w)). K(x,((y * ((z \ 1) \ 1)) \ y) \ ((y \ (y * ((z \ 1) \ 1))) \ u)) = K(x,z \ (((y * z) \ y) \ u)). K(x,((y * ((z \ 1) \ 1)) \ y) \ (((z \ 1) \ 1) \ u)) = K(x,z \ (((y * z) \ y) \ u)). x != K(y,z \ (((u \ 1) \ 1) \ w)) | x = K(y,z \ (u \ w)). K(x,y \ (((z * y) \ z) \ u)) = K(x,((z * ((y \ 1) \ 1)) \ z) \ (y \ u)). K(x,((y * ((z \ 1) \ 1)) \ y) \ (z \ u)) = K(x,z \ (((y * z) \ y) \ u)). a(x,y,K(z,L(u,w,v5))) * K(x,u) != v6 | K(x,L(u,y,L(z,w,v5))) = v6. a(x,y,a(z,u,K(w,v5))) * K(x,v5) != v6 | K(x,L(v5,y,a(z,u,w))) = v6. K(x \ (y \ z),x * y) * K(x,K(y,y \ (x \ z))) = K((x * y) \ z,y * x). K(x \ (y \ z),x * y) * K(x,K(y,x \ z)) = K((x * y) \ z,y * x). K(x \ (y \ z),x * y) * K(x,K(y,z)) = K((x * y) \ z,y * x). x != K(L(y,z,u),u * z) | x = K(y,u * z). K((x / y) \ (z \ x),(x / y) * z) = K(z \ y,(x / y) * z). x * K(y \ z,(x / z) * y) = (((x / z) * y) \ x) * ((x / z) * y). (((x / y) * z) \ x) * ((x / y) * z) = x * K(z \ y,(x / y) * z). L(x \ y,x,z / y) * ((z / y) * x) = z * K(x \ y,(z / y) * x). x != K((y * z) \ u,z * y) | x = K(y \ (z \ u),y * z) * K(y,K(z,u)). K(x \ (y \ z),x * y) = K(y \ (x \ z),y * x) * K(y,K(x,z)). K(x \ (y \ z),x * y) * K(x,K(y,z)) = K(y \ (x \ z),y * x). T(K(x \ (y \ z),x * y),u) = K((y * x) \ T(z,u),x * y). K(x \ (y \ z),T(x * y,u)) = K((y * x) \ T(z,u),x * y). K((x * y) \ T(z,u),y * x) = K(y \ (x \ z),T(y * x,u)). K((x * y) \ z,T(x * y,u)) = K(x \ (y \ z),T(x * y,u)). ((x \ y) \ 1) * ((y \ x) \ 1) = L((y \ x) \ 1,y \ x,y) \ (1 / (y \ x)). L((x \ y) \ 1,x \ y,x) \ (1 / (x \ y)) = ((y \ x) \ 1) * ((x \ y) \ 1). (x \ y) \ (1 / (y \ x)) = ((x \ y) \ 1) * ((y \ x) \ 1). ((x \ y) \ 1) * ((y \ x) \ 1) = (x \ y) \ (1 / (y \ x)). x * y != (R(z,u,u \ 1) \ z) \ w | T(x,y) = y \ (w / (R(z,u,u \ 1) \ z)). T((R(x,y,y \ 1) \ x) \ 1,(x \ R(x,y,y \ 1)) \ 1) = ((x \ R(x,y,y \ 1)) \ 1) \ ((1 / (x \ R(x,y,y \ 1))) / (R(x,y,y \ 1) \ x)). ((x \ R(x,y,y \ 1)) \ 1) \ ((1 / (x \ R(x,y,y \ 1))) / (R(x,y,y \ 1) \ x)) = T((R(x,y,y \ 1) \ x) \ 1,(x \ R(x,y,y \ 1)) \ 1). ((x \ R(x,y,y \ 1)) \ 1) \ ((1 / (x \ R(x,y,y \ 1))) / (R(x,y,y \ 1) \ x)) = T((R(x,y,y \ 1) \ x) \ 1,a(x,y,y \ 1) \ 1). x != T(y,a(z,u,u \ 1) \ 1) | x = y. ((x \ R(x,y,y \ 1)) \ 1) \ ((1 / (x \ R(x,y,y \ 1))) / (R(x,y,y \ 1) \ x)) = (R(x,y,y \ 1) \ x) \ 1. (a(x,y,y \ 1) \ 1) \ ((1 / (x \ R(x,y,y \ 1))) / (R(x,y,y \ 1) \ x)) = (R(x,y,y \ 1) \ x) \ 1. (a(x,y,y \ 1) \ 1) \ ((1 / a(x,y,y \ 1)) / (R(x,y,y \ 1) \ x)) = (R(x,y,y \ 1) \ x) \ 1. (a(x,y,y \ 1) \ 1) \ ((a(x,y,y \ 1) \ 1) / (R(x,y,y \ 1) \ x)) = (R(x,y,y \ 1) \ x) \ 1. (a(x,y,y \ 1) \ 1) \ ((R(x,y,y \ 1) \ x) \ (a(x,y,y \ 1) \ 1)) = (R(x,y,y \ 1) \ x) \ 1. (a(x,y,y \ 1) \ 1) \ 1 = (R(x,y,y \ 1) \ x) \ 1. (R(x,y,y \ 1) \ x) \ 1 = (a(x,y,y \ 1) \ 1) \ 1. x != (a(y,z,z \ 1) \ u) \ u | x = a(y,z,z \ 1). (R(x,y,y \ 1) \ x) \ 1 = a(x,y,y \ 1). (1 / a(x,y,y \ 1)) \ z != u | (R(x,y,y \ 1) \ x) \ z = u. x * (a(y,z,z \ 1) \ 1) = x * (R(y,z,z \ 1) \ y). x * (R(y,z,z \ 1) \ y) = x * (a(y,z,z \ 1) \ 1). x != y * (a(z,u,u \ 1) \ 1) | x = a(z,u,u \ 1) \ y. x * (R(y,z,z \ 1) \ y) = a(y,z,z \ 1) \ x. x * (R(y,z \ 1,z) \ y) = a(y,1 / z,(1 / z) \ 1) \ x. a(x,1 / y,(1 / y) \ 1) \ z = z * (R(x,y \ 1,y) \ x). a(x,1 / y,y) \ z = z * (R(x,y \ 1,y) \ x). x * (R(y,z \ 1,z) \ y) = a(y,1 / z,z) \ x. x * (R(y,z \ 1,z) \ y) = a(y,z \ 1,z) \ x. (R(x,y,y \ 1) \ x) \ z = a(x,y,y \ 1) * z. (R(x,x \ y,(x \ y) \ 1) \ x) \ z = ((x * ((x \ y) * ((x \ y) \ 1))) \ (y * ((x \ y) \ 1))) * z. ((x * ((x \ y) * ((x \ y) \ 1))) \ (y * ((x \ y) \ 1))) * z = (R(x,x \ y,(x \ y) \ 1) \ x) \ z. ((x * ((x \ y) * ((x \ y) \ 1))) \ (y * ((x \ y) \ 1))) * z = ((y * ((x \ y) \ 1)) \ x) \ z. (x \ (y * ((x \ y) \ 1))) * z = ((y * ((x \ y) \ 1)) \ x) \ z. ((x * ((y \ x) \ 1)) \ y) \ z = (y \ (x * ((y \ x) \ 1))) * z. (x \ (y * ((x \ y) \ 1))) \ 1 = (y * ((x \ y) \ 1)) \ x. x != (y \ (z * ((y \ z) \ 1))) \ 1 | x = ((y \ (z * ((y \ z) \ 1))) * u) \ u. (x * ((y \ x) \ 1)) \ y = ((y \ (x * ((y \ x) \ 1))) * z) \ z. ((x \ (y * ((x \ y) \ 1))) * z) \ z = (y * ((x \ y) \ 1)) \ x. x * ((y * ((z \ y) \ 1)) \ z) = (z \ (y * ((z \ y) \ 1))) \ x. (x \ (y * ((x \ y) \ 1))) \ z = z * ((y * ((x \ y) \ 1)) \ x). x != (y \ (z * ((y \ z) \ 1))) \ u | x = u / (y \ (z * ((y \ z) \ 1))). x * ((y * ((z \ y) \ 1)) \ z) = x / (z \ (y * ((z \ y) \ 1))). x / (y \ (z * ((y \ z) \ 1))) = x * ((z * ((y \ z) \ 1)) \ y). ((x / y) \ (x * (y \ 1))) \ z = z * ((x * (((x / y) \ x) \ 1)) \ (x / y)). x * ((y * (((y / z) \ y) \ 1)) \ (y / z)) = ((y / z) \ (y * (z \ 1))) \ x. x * ((y * (z \ 1)) \ (y / z)) = ((y / z) \ (y * (z \ 1))) \ x. ((x / y) \ (x * (y \ 1))) \ z = z * ((x * (y \ 1)) \ (x / y)). (x * (y \ (z * ((y \ z) \ 1)))) \ x = (z * ((y \ z) \ 1)) \ y. (x * ((y / z) \ (y * (z \ 1)))) \ x = (y * (((y / z) \ y) \ 1)) \ (y / z). (x * (((x / y) \ x) \ 1)) \ (x / y) = (z * ((x / y) \ (x * (y \ 1)))) \ z. (x * ((y / z) \ (y * (((z \ y) \ ((z \ y) * z)) \ 1)))) \ x = (((z \ y) * z) * (((z \ y) \ ((z \ y) * z)) \ 1)) \ (z \ y). (((x \ y) * x) * (((x \ y) \ ((x \ y) * x)) \ 1)) \ (x \ y) = (z * ((y / x) \ (y * (((x \ y) \ ((x \ y) * x)) \ 1)))) \ z. (((x \ y) * x) * (((x \ y) \ ((x \ y) * x)) \ 1)) \ (x \ y) = (z * ((y / x) \ (y * (x \ 1)))) \ z. x != (y * (y \ z)) \ u | x = z \ u. (((x \ y) * x) * (((x \ y) \ ((x \ y) * x)) \ 1)) \ (x \ y) = (y * (x \ 1)) \ (y / x). (((x \ y) * x) * (x \ 1)) \ (x \ y) = (y * (x \ 1)) \ (y / x). T(x * (y \ 1),y) \ (y \ x) = (x * (y \ 1)) \ (x / y). x != T(y * (z \ 1),z) \ u | x = (y * (((z \ y) \ y) \ 1)) \ u. (x * (y \ 1)) \ (x / y) = (x * (((y \ x) \ x) \ 1)) \ (y \ x). (x * (((y \ x) \ x) \ 1)) \ (y \ x) = (x * (y \ 1)) \ (x / y). (x * (((x / y) \ x) \ 1)) \ (x / y) = (z * ((y \ x) \ (((y \ x) * y) * (y \ 1)))) \ z. (x * (((x / y) \ x) \ 1)) \ (x / y) = (z * a(y \ x,y,y \ 1)) \ z. (x * a(y \ z,y,y \ 1)) \ x = (z * (((z / y) \ z) \ 1)) \ (z / y). a(x \ y,x,x \ 1) \ 1 = (y * (((y / x) \ y) \ 1)) \ (y / x). a(x \ y,x,x \ 1) \ 1 = (y * (x \ 1)) \ (y / x). L(x,y,T(z * K(u,w),z / u)) = L(x,y,T(u,w) / (u / z)). x != L(y,z,T(u,w / v5)) | x = L(y,z,T(u,v5 \ w)). L(x,y,T(z,u) / (z / w)) = L(x,y,T(w * K(z,u),z \ w)). L(x,y,T(z * K(u,w),u \ z)) = L(x,y,T(u,w) / (u / z)). x != L(y,z,T(u * K(w,v5),w \ u)) | x = L(y,z,T(w,v5) * (u / w)). L(x,y,T(z,u) / (z / w)) = L(x,y,T(z,u) * (w / z)). T(x,y) * K(z * K(x,y),z \ x) = ((x / z) \ T(x,y)) * (x / z). T(x,y) * K(z,T(z \ x,y)) = ((x / z) \ T(x,y)) * (x / z). x * (T(y,z) / x) = ((y / x) \ T(y,z)) * (y / x). ((x / y) \ T(x,z)) * (x / y) = y * (T(x,z) / y). (x * K(y,z)) * (y / x) = x * (T(y,z) / x). (x * K(y,z)) \ (x * (T(y,z) / x)) = y / x. T((1 / x) \ y,z) = ((x * y) / ((1 / x) \ y)) \ T(x * y,z). ((x * y) / ((1 / x) \ y)) \ T(x * y,z) = T((1 / x) \ y,z). x * y != K(z,u * w) * (u * (w * z)) | x \ (L(z,w,u) * (u * w)) = y. (x * (y * z)) \ (L(x,z,y) * (y * z)) = ((y * z) * x) \ (y * (z * x)). (x * (y * K(z,u))) \ ((x * K(z,u)) * T(y,K(z,u))) = ((y * K(z,u)) * x) \ (y * (K(z,u) * x)). (x * (K(y,z) * u)) \ ((x * u) * K(y,T(z,u))) = ((K(y,z) * u) * x) \ (K(y,z) * (u * x)). a(x,K(y,z),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,z),x). L(x \ L(x,K(y,z),u),x,u * K(y,z)) = a(x,K(y,z),u). (x * (K(y,L(z,u,x)) * u)) \ ((x * u) * K(y,T(L(z,u,x),u))) = ((K(y,z) * u) * L(x,u,K(z,y))) \ (K(y,L(z,u,x)) * (u * x)). ((K(x,y) * z) * L(u,z,K(y,x))) \ (K(x,L(y,z,u)) * (z * u)) = (u * (K(x,L(y,z,u)) * z)) \ ((u * z) * K(x,T(L(y,z,u),z))). ((K(x,y) * z) * L(u,z,K(y,x))) \ (K(x,L(y,z,u)) * (z * u)) = (u * (K(x,L(y,z,u)) * z)) \ ((u * z) * K(x,L(T(y,z),z,u))). ((K(x,y) * z) * L(u,z,K(y,x))) \ (K(x,L(y,z,u)) * (z * u)) = (u * (K(x,L(y,z,u)) * z)) \ (u * (z * K(x,T(y,z)))). ((K(x,y) * z) * L(u,z,K(y,x))) \ (K(x,L(y,z,u)) * (z * u)) = (u * (K(x,L(y,z,u)) * z)) \ (u * (K(x,y) * z)). ((K(x,y) * z) * L(u,z,K(y,x))) \ ((K(x,y) * z) * u) = (u * (K(x,L(y,z,u)) * z)) \ (u * (K(x,y) * z)). a(x,y,K(z,u)) = (u * (K(x,L(z,y,u)) * y)) \ (u * (K(x,z) * y)). (x * (K(y,L(z,u,x)) * u)) \ (x * (K(y,z) * u)) = a(y,u,K(z,x)). (x * (K(y,L(z,u,x)) * u)) \ (x * (K(y,z) * u)) != w | a(y,u,K(z,x)) = w. (x * (K((y * z) \ u,L(y,w,x)) * w)) \ (x * (K(z \ (y \ u),y) * w)) = a((y * z) \ u,w,K(y,x)). (x * (K(y \ (z \ u),L(z,w,x)) * w)) \ (x * (K(y \ (z \ u),z) * w)) = a((z * y) \ u,w,K(z,x)). a(x \ (y \ z),u,K(y,w)) = a((y * x) \ z,u,K(y,w)). a((x * y) \ z,u,K(x,w)) = a(y \ (x \ z),u,K(x,w)). a(x,y,K(z \ u,w)) = a((w * z) \ u,y,K(w,x)). a((x * y) \ z,u,K(x,w)) = a(w,u,K(y \ z,x)). K(x,y * T(z,u)) * L(x,y * z,K(z,u)) = L(T(x,K(z,u) * (y * z)),y * z,K(z,u)). L(T(x,K(y,z) * (u * y)),u * y,K(y,z)) = K(x,u * T(y,z)) * L(x,u * y,K(y,z)). K(x,((y * z) \ y) \ (z \ u)) = K(x,z \ (((y * z) \ y) \ u)). x != K(y,((z * u) \ z) \ (u \ w)) | x = K(y,(u * ((z * u) \ z)) \ w). K(x,y \ (((z * y) \ z) \ u)) = K(x,(y * ((z * y) \ z)) \ u). K(x,(y * ((z * y) \ z)) \ u) = K(x,y \ (((z * y) \ z) \ u)). K(x,L(y,z,(u * w) \ 1)) != v5 | K(x,L(y,z,w \ (u \ 1))) = v5. K(x,L(y,z,u / (w \ 1))) != v5 | K(x,L(y,z,u * w)) = v5. K(x,L(y,z,u * w)) = K(x,L(y,z,(w \ 1) \ u)). K(x,L(y,z,(u \ 1) \ w)) = K(x,L(y,z,w * u)). K(x,L(y,z,(u \ 1) \ w)) != v5 | K(x,L(y,z,w * u)) = v5. x * K(y,L(z,u \ 1,x * u)) = (x / (u \ 1)) * ((u \ 1) * K(y,z)). (x / (y \ 1)) * ((y \ 1) * K(z,u)) = x * K(z,L(u,y \ 1,x * y)). (x / (y \ 1)) * (y \ K(z,u)) = x * K(z,L(u,y \ 1,x * y)). x * K(y,L(z,u \ 1,x * u)) = (x / (u \ 1)) * (u \ K(y,z)). K(x,L((y / (z \ 1)) / u,u,z \ K(w,v5))) = K(x,(y * K(w,L(v5,z \ 1,y * z))) / (u * (z \ K(w,v5)))). K(x,((y / (z \ 1)) * (z \ K(u,w))) / v5) = K(x,y * (v5 \ K(u,L(w,z \ 1,y * z)))). K(x,y * (z \ K(u,L(w,v5 \ 1,y * v5)))) = K(x,((y / (v5 \ 1)) * (v5 \ K(u,w))) / z). x != K(y,z * (u \ K(w,L(v5,v6,v7)))) | x = K(y,z * (u \ K(w,v5))). K(x,((y / (z \ 1)) * (z \ K(u,w))) / v5) = K(x,y * (v5 \ K(u,w))). x != K(y,L(z,u,w \ v5)) | x = K(y,L(z,u,v5 / w)). a(x,y,K(z,u)) * K(x,z) = K(x,L(z,y,1 / u)). 1 * K(x,y) = K(x,L(y,z,L(z,u,w) \ 1)). K(x,L(y,z,L(z,u,w) \ 1)) = 1 * K(x,y). 1 * K(x,y) = K(x,L(y,L(z,u,w),z \ 1)). K(x,L(y,L(z,u,w),z \ 1)) = 1 * K(x,y). K(x,L(y,z,u \ 1)) != w | K(x,y) * a(y,z,K(u,x)) = w. K(x,(y * z) \ u) * a((y * z) \ u,z,K(y,x)) = K(x,z \ (y \ u)). K(x,(y * z) \ u) * a(x,z,K(z \ u,y)) = K(x,z \ (y \ u)). a(x,y,K(y \ z,u)) * K(x,(u * y) \ z) = K(x,y \ (u \ z)). a(x,T(y,z),K(K(z,y) * u,w)) * K(x,(w * T(y,z)) \ (y * u)) = K(x,T(y,z) \ (w \ (y * u))). K(x,L(y,L(z,u,w),z \ 1)) != v5 | K(x,y) = v5. K(x,L(y,z,L(z,u,w) \ 1)) != v5 | K(x,y) = v5. a(x,y,a(z,u,K(w,v5))) * K(x,v5) = K(x,L(v5,y,1 / a(w,u,z))). K(x,L(y,z,a(u,w,v5))) = K(x,L(y,z,1 / a(v5,w,u))). K(x,L(y,z,1 / a(u,w,v5))) = K(x,L(y,z,a(v5,w,u))). K(x,L(y,z,a(u,w,v5) \ 1)) = K(x,L(y,z,a(v5,w,u))). K(x,L(y,z,a(u,w,v5))) != v6 | K(x,L(y,z,a(v5,w,u) \ 1)) = v6. (a(x \ 1,x,y) * z) \ ((z * K(u,L(w,z,a(y,x,x \ 1)))) * a(x \ 1,x,y)) = K(u,w). (a(x \ 1,x,y) * z) \ ((z * K(u,w)) * a(x \ 1,x,y)) = K(u,w). x != (a(y \ 1,y,z) * u) \ ((u * K(w,u \ (a(y \ 1,y,z) \ v5))) * a(y \ 1,y,z)) | x = K(w,(a(y \ 1,y,z) * u) \ v5). K(x,y \ (a(z \ 1,z,u) \ w)) = K(x,(a(z \ 1,z,u) * y) \ w). K(x,(a(y \ 1,y,z) * u) \ w) = K(x,u \ (a(y \ 1,y,z) \ w)). K(x,(y * a(z \ 1,z,u)) \ w) = K(x,y \ (a(z \ 1,z,u) \ w)). x != K(y,(T(z,a(u \ 1,u,w) \ v5) * a(u \ 1,u,w)) \ v5) | x = K(y,T((a(u \ 1,u,w) * z) \ v5,a(u \ 1,u,w) \ v5)). K(x,T(y,a(z \ 1,z,u) \ w) \ (a(z \ 1,z,u) \ w)) = K(x,T((a(z \ 1,z,u) * y) \ w,a(z \ 1,z,u) \ w)). K(x,(a(y \ 1,y,z) \ u) / w) = K(x,T((a(y \ 1,y,z) * w) \ u,a(y \ 1,y,z) \ u)). K(x,T((a(y \ 1,y,z) * u) \ w,a(y \ 1,y,z) \ w)) = K(x,(a(y \ 1,y,z) \ w) / u). K(x,L(y,z,L(u \ 1,w,v5))) = K(x,L(y,z,L(u,w,v5) \ 1)). K(x,L(y,z,L(u,w,v5) \ 1)) = K(x,L(y,z,L(u \ 1,w,v5))). K(x,L(y,z,L(u,w,v5) \ 1)) != v6 | K(x,L(y,z,L(u \ 1,w,v5))) = v6. K(x,y) = K(x,L(y,z,L(z \ 1,u,w))). K(x,L(y,z,L(z \ 1,u,w))) = K(x,y). K(x,L(y,z \ 1,L(z,u,w))) = K(x,y). K(x,y) * a(y,z,K(x,L(u \ w,v5,v6))) = K(x,L(y,z,L((u / w) \ 1,v5,v6))). K(x,L(y,z,L((u / w) \ 1,v5,v6))) != v7 | K(x,L(y,z,L(u \ w,v5,v6))) = v7. K(x,L(y,z,x \ (u \ w))) = K(x,L(y,z,(u * x) \ w)). K(x,L(y,z,(u * x) \ w)) = K(x,L(y,z,x \ (u \ w))). K(x,L(y,z,(u * x) \ w)) != v5 | K(x,L(y,z,x \ (u \ w))) = v5. K(x,L(T(y,z),u,x \ (u \ z))) = K(z / ((z / (u * x)) * u),y). x * K(y,L(z,u,y \ (u \ x))) = (x / (u * y)) * (u * T(y,z)). 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). L(x,y,K(z,u) * (T(w,K(v5,v6)) * v7)) != v8 | L(x,y,K(z,u) * (w * v7)) = v8. 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). 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). K((x * K(y,z)) \ u,w) = K((x \ u) * K(z,y),w). L(K(x,y),K(z,u),w) = K(x,y). K(x,L(y,K(z,u),w)) = K(x,y). x * K(L(y,K(z,u),w),v5) != K(y,v5) | 1 = x. 1 = a(x,K(y,z),K(u,w)). a(x,K(y,z),K(u,w)) = 1. (x * K(y,z)) * K(u,w) = x * (K(y,z) * K(u,w)). L(x,K(y,z),K(u,w)) = x. (x * y) * z != x * (y * K(u,y \ (x \ w))) | z = K(u,(x * y) \ w). K(x,K(y,z) \ (u \ w)) = K(x,(u * K(y,z)) \ w). K(x,(y * K(z,u)) \ w) = K(x,K(z,u) \ (y \ w)). (x * K(y,z)) * K(u,w) = x * (K(u,w) * K(y,z)). x * y != L(z * x,K(u,w),K(v5,v6)) | T(z,x) = y. T(x,y) = T(x,L(y,K(z,u),w)). T(x,L(y,K(z,u),w)) = T(x,y). x != L(L(y,z,u),z,K(u,w)) | x = L(y,z,T(u,w)). L(x,K(y,z),u) = L(x,K(y,z),T(u,w)). L(x,K(y,z),T(u,w)) = L(x,K(y,z),u). x != L(K(y,T((z / u) / w,v5)),w,u) | x = K(y,T(z / (w * u),v5)). K(x,T((y / z) / K(u,w),v5)) = K(x,T(y / (K(u,w) * z),v5)). x != (y * K(z \ y,y \ z)) * K(u,y \ z) | x = z * ((((z \ y) \ 1) \ 1) * K(u,1 \ ((z \ y) \ 1))). x * (K(y,x \ z) * K(z \ x,x \ z)) = z * ((((z \ x) \ 1) \ 1) * K(y,1 \ ((z \ x) \ 1))). L(x * (K(y,z) * K(u,u \ K(z,y))),K(z,y),K(u \ K(z,y),u)) = x / ((u \ K(z,y)) * u). x * ((T(x \ y,z) \ 1) * (x \ y)) = y * ((((y \ x) \ 1) \ 1) * K(z,1 \ ((y \ x) \ 1))). x * ((T(x \ y,z) \ 1) * (x \ y)) = y * (T((y \ x) \ 1,z) \ 1). x != K(y,z) | x = K(y,T(T(z,u),u)). K(x,L(y,K(z,u),w)) = K(x,T(T(y,v5),v5)). K(x,T(T(y,z),z)) = K(x,L(y,K(u,w),v5)). x != K(y,L((z / u) / w,w,u)) | x = K(y,z / (w * u)). K(x,(y / z) / K(u,w)) = K(x,y / (K(u,w) * z)). K(x,(y * K(z,u)) \ w) = K(x,K(u,z) * (y \ w)). K(x,y) * a(y,z,K(x,u)) = K(x,L(y,z,L(u,K(w,v5),v6))). K(x,L(y,z,L(u,K(w,v5),v6))) = K(x,y) * a(y,z,K(x,u)). K(x,y / (K(z,u) * w)) = K(x,(y / w) * K(u,z)). K(x,y) * ((K(z,u) * x) * w) = (K(z,u) * T(x,y)) * w. K(x,(K(y,z) * u) \ w) = K(x,K(z,y) * (u \ w)). x != K(y,(z * K(u,w)) \ v5) | x = K(y,z \ (v5 * K(w,u))). K(x,K(y,z) * (u \ w)) = K(x,u \ (w * K(y,z))). K(x,y \ (z * K(u,w))) = K(x,K(u,w) * (y \ z)). x * K(y * K(z,u),K(u,z) * (y \ x)) != w | (y * K(z,u)) * (x / (y * K(z,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). K(x,(y / T(z,u)) \ w) = K(x,K(z,u) * ((y / z) \ w)). K(x,K(y,z) * ((u / y) \ w)) = K(x,(u / T(y,z)) \ w). K(x,y * ((z * K(u,w)) \ v5)) * K(x,K(y,K(w,u) * (z \ v5))) = K(x,((z * K(u,w)) \ v5) * y). K(x,(y \ T(z,u)) \ w) = K(x,K(u,z) * ((y \ z) \ w)). K(x,K(y,z) * ((u \ z) \ w)) = K(x,(u \ T(z,y)) \ w). K(x,y \ (K(z,u) * w)) = K(x,K(z,u) * (y \ w)). K(x,((y \ z) \ u) \ 1) = K(x,K(y \ z,y) * (u \ (z / y))). K(x,K(y \ z,y) * (u \ (z / y))) = K(x,((y \ z) \ u) \ 1). 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,(T(y,z) \ u) \ w) = K(x,K(y,z) * ((y \ u) \ w)). K(x,K(y,z) * ((y \ u) \ w)) = K(x,(T(y,z) \ u) \ w). K(x,y \ z) = K(x,K(u,w) * ((K(u,w) * y) \ z)). K(x,K(y,z) * ((K(y,z) * u) \ w)) = K(x,u \ w). K(x,(T(y,z) * u) \ w) = K(x,K(z,y) * ((y * u) \ w)). K(x,K(y,z) * ((z * u) \ w)) = K(x,(T(z,y) * u) \ w). K(x,((y / (y / z)) \ u) \ w) = K(x,K(z \ y,z) * ((z \ u) \ w)). K(x,(y \ K(z,u)) * w) = K(x,K(u,z) * (y \ w)). x * K(x,K(y,z) * (u \ w)) = T(x,(u \ K(y,z)) * w). x / (K(y,K(z,u) * (w \ v5)) * x) = K((w \ K(z,u)) * v5,y). K(K(x,y) * (z \ u),w) = K((z \ K(x,y)) * u,w). K((x \ K(y,z)) * u,w) = K(K(y,z) * (x \ u),w). K((x \ K(y,z)) * u,w) != v5 | K(K(y,z) * (x \ u),w) = v5. K(x * (y \ K(z,u)),w) = K(K(z,u) * (y \ x),T(w,x)). K(K(x,y) * (z \ u),T(w,u)) = K(u * (z \ K(x,y)),w). K(K(x,y) * (z \ u),T(w,u)) != v5 | K(u * (z \ K(x,y)),w) = v5. K(x,K(y,z)) * K(K(u,z) * (y \ z),x) = K(z * (y \ K(u,z)),x). K(x,K(y,z)) * K(y \ T(z,u),x) = K(z * (y \ K(u,z)),x). K(T(x,y) / z,u) = K(x * (z \ K(y,x)),u). K(x * (y \ K(z,x)),u) = K(T(x,z) / y,u). K(x,T(y \ 1,z) * u) = K(x,K(z,y \ 1) * (y \ u)). K(x,K(y,z \ 1) * (z \ u)) = K(x,T(z \ 1,y) * u). K(x,(y \ K(z,u)) * w) != v5 | K(x,K(z,u) * (y \ w)) = v5. K(x,(K(y,z) * u) \ w) != v5 | K(x,K(z,y) * (u \ w)) = v5. K(x,y \ (T(z,u) \ w)) = K(x,K(u,z) * (y \ (z \ w))). K(x,K(y,z) * (u \ (z \ w))) = K(x,u \ (T(z,y) \ w)). K(x,y \ (T(z,u) * w)) = K(x,K(z,u) * (y \ (z * w))). K(x,K(y,z) * (u \ (y * w))) = K(x,u \ (T(y,z) * w)). K(x,y \ (((z \ u) * z) \ w)) = K(x,K(z,z \ u) * (y \ (u \ w))). K(x,K(y,y \ z) * (u \ (z \ w))) = K(x,u \ (((y \ z) * y) \ w)). K(x,y \ ((K(z,u) * w) * v5)) = K(x,K(z,L(u,w,v5)) * (y \ (w * v5))). K(x,K(y,L(z,u,w)) * (v5 \ (u * w))) = K(x,v5 \ ((K(y,z) * u) * w)). K(x,K(y,z) * (u \ (z * w))) = K(x,u \ (T(z,y) * w)). K(x,((y / z) \ u) * K(w,z)) = K(x,(y / T(z,w)) \ u). K(x,K(y,z) * ((u / z) \ w)) = K(x,(u / T(z,y)) \ w). K(x,K(y,T(z,u)) * ((w / z) \ v5)) = K(x,(w / T(z,T(y,u))) \ v5). K(x,((y / z) \ u) * K(w,z)) = K(x,(y / T(z,T(w,v5))) \ u). K(x,(y / T(z,T(u,w))) \ v5) = K(x,((y / z) \ v5) * K(u,z)). x != K(y,((z / u) \ w) * K(v5,u)) | x = K(y,(z / T(u,v5)) \ w). K(x,(y / T(z,T(u,w))) \ v5) = K(x,(y / T(z,u)) \ v5). K(x,K(y,a(z,u,w) \ (y \ v5)) * ((a(z,u,w) \ (v5 / y)) \ v6)) = K(x,((a(z,u,w) * y) \ v5) \ v6). K(x,L(y,K(z,u),w)) != v5 | K(x,y) = v5. K(x,(y * K(z,u)) \ w) != v5 | K(x,K(u,z) * (y \ w)) = v5. K(L(x,K(y,z),u),w) != v5 | K(x,w) = v5. K(x,y \ (z * K(u,w))) != v5 | K(x,(z \ y) \ K(u,w)) = v5. T(x,(y * K(z,u)) \ w) = T(x,K(u,z) * (y \ w)). T(x,y / (K(z,u) * w)) = T(x,(y / w) * K(u,z)). K(x * ((y * K(z,u)) \ w),T(v5,K(u,z) * (y \ w))) = K(((K(z,u) * y) \ w) * x,v5). K(x * ((y * K(z,u)) \ w),T(v5,y \ w)) = K(((K(z,u) * y) \ w) * x,v5). K(x * (y \ (K(z,u) * w)),T(v5,y \ w)) = K(((K(u,z) * y) \ w) * x,v5). x != K(y * (z \ (K(u,w) * v5)),v6) | x = K(y * (K(u,w) * (z \ v5)),v6). K(((K(x,y) * z) \ u) * w,v5) = K(w * (K(y,x) * (z \ u)),T(v5,z \ u)). K(x * (K(y,z) * (u \ w)),T(v5,u \ w)) = K(((K(z,y) * u) \ w) * x,v5). K(K(x,y) * ((z \ u) * w),v5) = K(((K(y,x) * z) \ u) * w,v5). K(((K(x,y) * z) \ u) * w,v5) = K(K(y,x) * ((z \ u) * w),v5). x != K(((K(y \ z,y) * (u * y)) \ w) * v5,v6) | x = K(((u * (z / (z / y))) \ w) * v5,v6). K(K(x,x \ y) * (((z * x) \ u) * w),v5) = K(((z * (y / (y / x))) \ u) * w,v5). x != K(((K(y,z) * (u * y)) \ w) * v5,v6) | x = K(((u * T(y,z)) \ w) * v5,v6). K(K(x,y) * (((z * y) \ u) * w),v5) = K(((z * T(y,x)) \ u) * w,v5). K(K(x,y) * (((z * x) \ u) * w),v5) = K(((z * T(x,y)) \ u) * w,v5). K(K(x,y) * (((z * x) \ u) * w),v5) = K(((z * (y / (y / x))) \ u) * w,v5). x != K(K(y,z) * (((u * y) \ w) * v5),v6) | x = K(((u * T(y,z)) \ w) * v5,v6). K(((x * (y / (y / z))) \ u) * w,v5) = K(((x * T(z,y)) \ u) * w,v5). T(x,y / (z * K(u,w))) = T(x,(y / z) * K(w,T(u,z))). T(x,(y / z) * K(u,T(w,z))) = T(x,y / (z * K(w,u))). T(x,K(y,z) * (u / w)) = T(x,u / (w * K(y,z))). T(x,y / (z * K(u,w))) = T(x,K(u,w) * (y / z)). x != T(y,z / (u * K(w,v5))) | x = T(y,(z * K(v5,w)) / u). T(x,K(y,z) * (u / w)) = T(x,(u * K(z,y)) / w). T(x,(y * K(z,u)) / w) = T(x,K(u,z) * (y / w)). K((x * K(y,z)) \ u,w) = K(K(y,z) * (x \ u),w). K(((1 / x) \ y) * K(z,u),w) = K(((x \ 1) * K(u,z)) \ y,w). K(((x \ 1) * K(y,z)) \ u,w) = K(((1 / x) \ u) * K(z,y),w). K((x * T(y,z)) \ u,w) = K(((x * y) \ u) * K(z,y),w). K(((x * y) \ z) * K(u,y),w) = K((x * T(y,u)) \ z,w). K((x * ((y * z) / y)) \ u,w) = K(((x * z) \ u) * K(z,y),w). K((x \ K(y,z)) \ u,w) = K(((x \ 1) \ u) * K(z,y),w). K(((x \ 1) \ y) * K(z,u),w) = K((x \ K(u,z)) \ y,w). K((x * K(y,z)) \ u,w) != v5 | K(K(z,y) * (x \ u),w) = v5. K(K(x,y) * ((z * y) \ u),w) = K((z * T(y,x)) \ u,w). K(((x * y) \ z) * K(y,u),w) = K((x * T(y,u)) \ z,w). x != K(((y * z) \ u) * K(z,w),v5) | x = K((y * ((w * z) / w)) \ u,v5). K((x * T(y,z)) \ u,w) = K((x * ((z * y) / z)) \ u,w). K((x * ((y * z) / y)) \ u,w) = K((x * T(z,y)) \ u,w). K((x * y) \ z,u) = K((x * T(T(y,w),w)) \ z,u). K((x * T(T(y,z),z)) \ u,w) = K((x * y) \ u,w). x / (K((y * T(z,u)) \ w,v5) * x) = K(v5,(y * ((u * z) / u)) \ w). K(x,(y * ((z * u) / z)) \ w) = v5 / (K((y * T(u,z)) \ w,x) * v5). ((x * y) / x) / ((x * (y * K((z * T(u,w)) \ v5,y))) / x) = K(y,T((z * ((w * u) / w)) \ v5,x)). K(x,T((y * ((z * u) / z)) \ w,v5)) = ((v5 * x) / v5) / ((v5 * (x * K((y * T(u,z)) \ w,x))) / v5). K((T(x,y) * y) \ z,u) = K((y * x) \ z,u). T(T(x,(T(y,z) * z) \ u),K((z * y) \ u,w)) = T(x,T((T(y,z) * z) \ u,w)). T(T(x,(y * z) \ u),K((y * z) \ u,w)) = T(x,T((T(z,y) * y) \ u,w)). T(x,T((y * z) \ u,w)) = T(x,T((T(z,y) * y) \ u,w)). T(x,T((T(y,z) * z) \ u,w)) = T(x,T((z * y) \ u,w)). T(x,y / (T(z,u) * u)) = T(x,T((u * z) \ y,u * z)). T(x,T((y * z) \ u,y * z)) = T(x,u / (T(z,y) * y)). T(x,y / (T(z,u) * u)) != w | T(x,y / (u * z)) = w. T(x,y / (z * u)) = T(x,y / T(u * z,u)). T(x,y / T(z * u,z)) = T(x,y / (u * z)). T(x,y / L(z * (a(u,w,v5) \ 1),w,K(v5,u))) = T(x,y / ((a(u,w,v5) \ 1) * z)). K(x,y * (z * K(u,w))) = K(x,K(u,w) * ((y \ 1) \ z)). K(x,K(y,z) * ((u \ 1) \ w)) = K(x,u * (w * K(y,z))). K(x,y \ (z * T(u,w))) = K(x,K(u,w) * (y \ (z * u))). K(x,K(y,z) * (u \ (w * y))) = K(x,u \ (w * T(y,z))). K(x,y \ T(z * K(u,w),u)) = K(x,K(u,w) * (y \ T(z,u))). K(x,y \ (z / T(u,w))) = K(x,K(w,u) * (y \ (z / u))). K(x,K(y,z) * (u \ (w / z))) = K(x,u \ (w / T(z,y))). K(x,y \ (z * ((u \ w) * u))) = K(x,K(u \ w,u) * (y \ (z * w))). K(x,K(y \ z,y) * (u \ (w * z))) = K(x,u \ (w * ((y \ z) * y))). K(x,y \ (z \ T(u,w))) = K(x,K(u,w) * (y \ (z \ u))). K(x,K(y,z) * (u \ (w \ y))) = K(x,u \ (w \ T(y,z))). K(x,K(y,z) * ((u \ 1) \ w)) != v5 | K(x,u * (w * K(y,z))) = v5. K(x,y / (z * K(u,w))) = K(x,(y / z) * K(w,u)). K(x,(y / z) * K(u,w)) = K(x,y * (z \ K(u,w))). K(x,K(y,z) * (u / w)) = K(x,u * (w \ K(y,z))). x != K(y,z * (u \ K(w,v5))) | x = K(y,z * (K(w,v5) * (u \ 1))). K(x,(y / z) * K(u,w)) = K(x,y * (K(u,w) * (z \ 1))). K(x,y * (K(z,u) * (w \ 1))) = K(x,(y / w) * K(z,u)). K(x,y * K(z,u)) = K(x,(y * w) * (w \ K(z,u))). K(x,(y * z) * (z \ K(u,w))) = K(x,y * K(u,w)). K(x,y * (z \ K(u,w))) != v5 | K(x,K(u,w) * (y / z)) = v5. K(x,y / T(z,u)) = K(x,y * (z \ K(z,u))). K(x,y * (z \ K(z,u))) = K(x,y / T(z,u)). x != K(y,z * ((u * w) \ K(v5,w))) | x = K(y,z / (u * T(w,v5))). K(x,K(y,z) * (u / (w * z))) = K(x,u / (w * T(z,y))). K(x,y * (z \ K(u,w))) != v5 | K(x,(y / z) * K(u,w)) = v5. K(x,y * (z \ K(z,u))) != w | K(x,y / T(z,u)) = w. K(x,y * (((1 / z) \ u) \ K(z * u,w))) != v5 | K(x,y / T((1 / z) \ u,w)) = v5. K(x,K(y,z) * (u \ (w * v5))) = K(x,u \ ((K(y,z) * w) * v5)). K(x,y \ ((K(z,u) * w) * v5)) = K(x,K(z,u) * (y \ (w * v5))). x != K(y,z \ ((K(u,w) * v5) * v6)) | x = K(y,z \ ((v5 * K(u,w)) * v6)). K(x,K(y,z) * (u \ (w * v5))) = K(x,u \ ((w * K(y,z)) * v5)). K(x,y \ ((z * K(u,w)) * v5)) = K(x,K(u,w) * (y \ (z * v5))). K(x,y * ((z * K(u,w)) * v5)) = K(x,K(u,w) * ((y \ 1) \ (z * v5))). K(x,K(y,z) * ((u \ 1) \ (w * v5))) = K(x,u * ((w * K(y,z)) * v5)). K(x,y * ((z * u) * K(w,v5))) = K(x,y * ((z * K(w,v5)) * u)). K(x,y * ((z * K(u,w)) * v5)) = K(x,y * ((z * v5) * K(u,w))). K(x,y * ((z * K(u,w)) * v5)) = K(x,y * (z * (v5 * K(u,w)))). x != K(y,z * ((u * K(w,v5)) * T(v6,u))) | x = K(y,z * (v6 * (K(w,v5) * u))). K(x,y * (z * (T(u,z) * K(w,v5)))) = K(x,y * (u * (K(w,v5) * z))). K(x,y * ((z * (u / z)) * w)) = K(x,y * (u * (w * K(z,z \ u)))). K(x,y * (z * (u * K(w,w \ z)))) = K(x,y * ((w * (z / w)) * u)). K(x,(y / z) * K(u,w)) != v5 | K(x,y * (z \ K(u,w))) = v5. K(x,y / (K(z,u) * w)) != v5 | K(x,y * (w \ K(u,z))) = v5. K(x,y / (z * K(u,w))) != v5 | K(x,y * (z \ K(w,u))) = v5. K(x,(y * K(z,u)) / w) != v5 | K(x,y * (w \ K(z,u))) = v5. K(x,(K(y,z) * u) / w) != v5 | K(x,u * (w \ K(y,z))) = v5. K(x,(y * (K(z,y) * u)) / w) != v5 | K(x,(y * u) * (w \ K(z,y))) = v5. K(x,(y * ((z * u) / z)) \ w) != v5 | K(x,(y * T(u,z)) \ w) = v5. K(x,K(y,z) * ((u * y) \ w)) = K(x,(u * T(y,z)) \ w). x != K(y,K(z,u) * w) | x = K(y,K(u,T(z,v5)) * w). K(x,(y * T(z,u)) \ w) = K(x,K(z,T(u,v5)) * ((y * z) \ w)). K(x,K(y,T(z,u)) * ((w * y) \ v5)) = K(x,(w * T(y,z)) \ v5). x != K(y,K(z,u) * (w \ (u * v5))) | x = K(y,w \ (T(u,z) * v5)). K(x,(y * T(z,u)) \ (z * w)) = K(x,(y * z) \ (T(z,u) * w)). K(x,(y \ z) \ K(u,w)) = K(x,K(u,w) * (z \ y)). K(x,y \ K(z,u)) = K(x,K(z,u) * ((w * y) \ w)). K(x,K(y,z) * ((u * w) \ u)) = K(x,w \ K(y,z)). K(x,K(y,z) * L(u \ 1,u,w)) = K(x,u \ K(z,y)). x != K(y,K(z,u) * (w \ v5)) | x = K(y,w \ (K(z,u) * v5)). K(x,y \ K(z,u)) = K(x,(w * y) \ (K(z,u) * w)). K(x,(y * z) \ (K(u,w) * y)) = K(x,z \ K(u,w)). K(x,y / (z * K(u,w))) = K(x,(z / y) \ K(w,u)). x != K(y,z / (u * K(w,v5))) | x = K(y,(K(v5,w) * z) / u). K(x,(y / z) \ K(u,w)) = K(x,(K(u,w) * z) / y). K(x,(K(y,z) * u) / w) = K(x,(w / u) \ K(y,z)). K(x,(y / z) \ K(u,w)) != v5 | K(x,z * (y \ K(u,w))) = v5. K(x,((y / (y / z)) * (z \ u)) / w) = K(x,(w / u) \ K(z \ y,z)). K(x,(y \ (((y \ z) \ z) * u)) / w) = K(x,(w / u) \ K(y,y \ z)). x != K(y,z \ K(u \ w,u)) | x = K(y,z \ K(w,u)). K(x,((y / (y / z)) * (z \ u)) / w) = K(x,(w / u) \ K(y,z)). K(x,y * (z \ K(u,w))) = K(x,((u / (u / w)) * (w \ y)) / z). K(x,((y / (y / z)) * (z \ u)) / w) = K(x,u * (w \ K(y,z))). K(x,(K(y \ z,y) * u) / w) = K(x,u * (w \ K(z,y))). K(x,y * (z \ K(u \ w,u))) = K(x,y * (z \ K(w,u))). K(x,y / (z * (u / z))) = K(x,y * (u \ K(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))) != w | K(x,y / T(u,z)) = w. x != K(y,K(z,T(u,w)) * ((v5 * z) \ v6)) | x = K(y,(v5 * T(z,u)) \ v6). K(x,(y * T(z,T(u,w))) \ v5) = K(x,(y * T(z,u)) \ v5). K((K(x,y) * z) \ u,w) = K(K(x,y) * (z \ u),w). K((x * (y * (z / y))) \ u,w) = K(K(y,y \ z) * ((x * z) \ u),w). K(K(x,x \ y) * ((z * y) \ u),w) = K((z * (x * (y / x))) \ u,w). x != K(K(y \ 1,z) * u,w) | x = K(K(y \ 1,z * y) * u,w). K((x * T(y,z \ 1)) \ u,w) = K(K(z \ 1,y * z) * ((x * y) \ u),w). K(K(x \ 1,y * x) * ((z * y) \ u),w) = K((z * T(y,x \ 1)) \ u,w). K(K(x,y) * ((z * y) \ u),w) = K((z * (x * (y / x))) \ u,w). K((x * (y * (z / y))) \ u,w) = K(K(y,z) * ((x * z) \ u),w). x != K(K(y,z) * ((u * z) \ w),v5) | x = K((u * T(z,y)) \ w,v5). K((x * (y * (z / y))) \ u,w) = K((x * T(z,y)) \ u,w). x / (K((y * T(z,u)) \ w,v5) * x) = K(v5,(y * (u * (z / u))) \ w). K(x,(y * (z * (u / z))) \ w) = v5 / (K((y * T(u,z)) \ w,x) * v5). K(x,(y * (z * (u / z))) \ w) = K(x,(y * T(u,z)) \ w). K(x,(y * (z * K(u \ 1,u * z))) \ w) = K(x,(y * T(z,L(u \ 1,u,z))) \ w). x != T(y,K(z,u \ 1) * w) | x = T(y,K(z,u) * w). T(x,(y * K(z \ 1,u)) / w) = T(x,K(u,z) * (y / w)). x != T(y,K(z,u) * (w / u)) | x = T(y,w / T(u,z)). T(x,(y * K(z \ 1,u)) / z) = T(x,y / T(z,u)). x != T(y,(z * K(u \ 1,w)) / u) | x = T(y,z * T(u \ 1,w)). 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)). x * y != T(z,u * T(w \ 1,v5)) | T(x,y) = y \ T(z,u / T(w,v5)). T(K(x,L(y * T(z \ 1,u),w,v5)),L(x \ 1,w,v5) \ 1) = (L(x \ 1,w,v5) \ 1) \ T(L(x \ 1,w,v5) \ 1,y / T(z,u)). (L(x \ 1,y,z) \ 1) \ T(L(x \ 1,y,z) \ 1,u / T(w,v5)) = T(K(x,L(u * T(w \ 1,v5),y,z)),L(x \ 1,y,z) \ 1). T(x,y * T(z,u)) = T(x,y / T(1 / z,u)). T(x,y / T(1 / z,u)) = T(x,y * T(z,u)). x / T(x,y / T(z,u)) = K(y * T(z \ 1,u),x). K(x * T(y \ 1,z),u) = u / T(u,x / T(y,z)). K(x * T(y \ 1,z),u) = K(x / T(y,z),u). K(x * T(y,z),u) = K(x / T(y \ 1,z),u). K(x / T(y \ 1,z),u) = K(x * T(y,z),u). K(T(x \ 1,y) \ z,u) = K(z * T(x,y),T(u,x)). x != K(y * T(z,u),T(w,z)) | x = K(T(z,u) * y,w). K(T(x \ 1,y) \ z,u) = K(T(x,y) * z,u). K(T(x,y) \ z,u) = K(T(x \ 1,y) * z,u). K(T(x \ 1,y) * z,u) = K(T(x,y) \ z,u). x != K(T((y \ z) \ 1,u) \ w,T(z \ y,v5)) | x = K((y \ z) * w,T(z \ y,v5)). K(T(x \ y,z) * u,T(y \ x,w)) = K((x \ y) * u,T(y \ x,w)). K(x,K(T(y / z,u) * w,T(z / y,u)) * v5) = K(x,K(w,T((y / z) \ 1,u)) * v5). K(T(1 \ (x / y),z) * u,T((x / y) \ 1,w)) = K((1 \ (x / y)) * u,T(y / x,w)). x \ T(y * T(x,K(z,u \ w)),K((w \ u) * z,T(u \ w,v5))) = T(y,K(T(u \ w,v5),T(w \ u,v6) * z) * x). T(x,K(T(y \ z,u),T(z \ y,w) * v5) * v6) = v6 \ T(x * T(v6,K(v5,y \ z)),K((z \ y) * v5,T(y \ z,u))). T(x,K(T(y \ z,u),T(z \ y,w) * v5) * v6) = v6 \ T(x * T(v6,K(v5,y \ z)),K(v5,y \ z)). T(x,K(T(y \ z,u),T(z \ y,w) * v5) * v6) = T(x,K(y \ z,v5) * v6). T(x,K(T(y \ z,u) * w,z \ y) * v5) = T(x,K(z \ y,w) * v5). T(x,K((y \ z) * u,z \ y) * w) = T(x,K(z \ y,u) * w). T(x,K(y * (z \ u),u \ z) * w) = T(x,K(u \ z,y) * w). T(x,K(y \ z,(z \ y) * u) * w) = T(x,K(y \ z,u) * w). K((T(x,y) \ z) \ u,w) = K(K(y,x) * ((x \ z) \ u),w). K(K(x,y) * ((y \ z) \ u),w) = K((T(y,x) \ z) \ u,w). K((T(x,y) / z) \ u,w) = K(K(x,y) * ((x / z) \ u),w). K(K(x,y) * ((x / z) \ u),w) = K((T(x,y) / z) \ u,w). K((K(x,y) * z) \ u,w) != v5 | K((z \ u) * K(y,x),w) = v5. K(x / (K(y,z) * u),w) != v5 | K((x / u) * K(z,y),w) = v5. K((x / y) * K(T(z,u),w),T(v5,K(z,w) * y)) = K((K(w,T(z,u)) * y) \ x,v5). K((x / y) * K(z,u),w) = K(x * (y \ K(z,u)),w). K((x / y) * K(z,u \ w),v5) = K(x * (y \ K(z,w / u)),v5). K(K(x,y) * (z / u),w) = K(z * (u \ K(y,x)),w). K(x * (y \ K(z,L(u,w,v5))),v6) != v7 | K(K(u,z) * (x / y),v6) = v7. K(K(x,y) * (z / u),T(w,z)) = K((u \ K(y,x)) * z,w). K(x / (T(y,z) \ u),w) = K(K(z,y) * (x / (y \ u)),w). K(K(x,y) * (z / (y \ u)),w) = K(z / (T(y,x) \ u),w). K(K(x,y) * (z / u),w) = K(z * ((K(x,y) * u) \ 1),w). K(x * ((K(y,z) * u) \ 1),w) = K(K(y,z) * (x / u),w). K(x,K(y,z) * (z \ u)) = K(x,T(z \ 1,y) * u). K(x,T(y \ 1,z) * u) = K(x,K(z,y) * (y \ u)). K(x,T(y \ 1,z) * u) = K(x,T(y,z) \ u). K(x,T(y,z) * u) = K(x,T(y \ 1,z) \ u). K(x,T(y \ 1,z) \ u) = K(x,T(y,z) * u). x != K(y,T(z,u) \ w) | x = K(y,w / T(z,u)) * K(y,K(w,z)). K(x,T(y \ 1,z) * u) = K(x,u / T(y,z)) * K(x,K(u,y)). K(x,y / T(z,u)) * K(x,K(y,z)) = K(x,T(z \ 1,u) * y). K(x,T(y,z \ 1) \ u) = K(x,T(y \ 1,z) * u). x != K(y,T(z \ 1,u) * w) | x = K(y,T(z,u) \ w). K(x,T(y,z \ 1) \ u) = K(x,T(y,z) \ u). K(x,T(y * (z \ 1),z) \ u) = K(x,((z \ 1) * y) \ u). K((x / y) * K(z,T(u,w)),T(v5,K(z,u) * y)) = K((K(u,T(z,w)) * y) \ x,v5). K(K(x,y) * (z / u),T(w,K(y,x) * u)) = K((K(x,T(y,v5)) * u) \ z,w). K((K(x,T(y,z)) * u) \ w,v5) = K(K(x,y) * (w / u),T(v5,K(y,x) * u)). K((x \ y) * K(T(z,u),w),v5) = K(K(w,z) * (y / x),T(v5,K(z,w) * x)). K(K(x,y) * (z / u),T(w,K(y,x) * u)) = K((u \ z) * K(T(y,v5),x),w). K(K(x,y) * (z / u),T(w,K(y,x) * u)) = K((u \ z) * K(y,T(x,v5)),w). x != K(y * K(z,T(u,w)),v5) | x = K(K(u,z) * y,v5). K(K(x,y) * (z / u),T(w,K(y,x) * u)) = K(K(x,y) * (u \ z),w). K(K(x,y) * (z / u),T(w,u)) = K(K(x,y) * (u \ z),w). K(x,((y \ z) \ u) * K(w,z)) = K(x,(y \ T(z,w)) \ u). x != K(y,K(z,u) * w) | x = K(y,K(z,T(u,v5)) * w). K(x,(y \ T(z,u)) \ w) = K(x,K(u,T(z,v5)) * ((y \ z) \ w)). K(x,K(y,T(z,u)) * ((w \ z) \ v5)) = K(x,(w \ T(z,y)) \ v5). K(K(x,y) * (z \ u),w) = K(z \ (K(x,y) * u),w). K(x \ (K(y,z) * u),w) = K(K(y,z) * (x \ u),w). K((x * y) \ z,L(u,z,K(w,L(v5,x,y)))) = K(K(w,L(v5,x,y)) * (((K(w,v5) * x) * y) \ z),u). x != K((y \ 1) \ (K(z,T(u,y * w)) * w),v5) | x = K((w * K(z,u)) * T(y,w),v5). K(K(x,T(y,z * u)) * ((z \ 1) \ u),w) = K((u * K(x,y)) * T(z,u),w). x != K(y \ (K(z,u) * w),v5) | x = K(y \ (w * K(z,u)),v5). K(K(x,y) * (z \ u),w) = K(z \ (u * K(x,y)),w). K(x \ (y * K(z,u)),w) = K(K(z,u) * (x \ y),w). K(K(x,y) * (((y * x) \ z) \ u),w) != v5 | K(((x * y) \ z) \ u,L(w,u,K(x,y))) = v5. K(x \ ((K(y,z) * u) * w),v5) = K(K(y,L(z,u,w)) * (x \ (u * w)),v5). K(K(x,L(y,z,u)) * (w \ (z * u)),v5) = K(w \ ((K(x,y) * z) * u),v5). x != K(y \ ((z * u) * K(w,v5)),v6) | x = K(y \ (z * (u * K(w,v5))),v6). K(K(x,y) * (z \ (u * w)),v5) = K(z \ (u * (w * K(x,y))),v5). K(x \ (y * (z * K(u,w))),v5) = K(K(u,w) * (x \ (y * z)),v5). K(K(x,y) * (z \ u),T(w,u)) != v5 | K((u * K(x,y)) / z,w) = v5. K((x * K(y,z)) / u,w) = K(x * (u \ K(y,z)),w). x != K((y * K(z,L(u,w,v5))) / (v5 * w),v6) | x = K(y / (v5 * (w * K(u,z))),v6). K(x * ((y * z) \ K(u,L(w,z,y))),v5) = K(x / (y * (z * K(w,u))),v5). K(K(x,y) * (z / (u * w)),v5) = K(z / (u * (w * K(x,y))),v5). K(x / (y * (z * K(u,w))),v5) = K(K(u,w) * (x / (y * z)),v5). x != K(y / (z * (u * K(w,v5))),v6) | x = K(y / (z * (K(w,v5) * u)),v6). K(K(x,y) * (z / (u * w)),v5) = K(z / (u * (K(x,y) * w)),v5). K(x / (y * (K(z,u) * w)),v5) = K(K(z,u) * (x / (y * w)),v5). x != K(y / (z * (u * K(w,v5))),T(v6,z * u)) | x = K((z * (u * K(w,v5))) \ y,v6). K(K(x,y) * (z / (u * w)),T(v5,u * w)) = K((u * (w * K(x,y))) \ z,v5). x / (K(K(y,z) * (u / (w * v5)),v6) * x) = K(v6,u / (w * (v5 * K(y,z)))). x != K(K(y,z) * (u / w),T(v5,w)) | x = K(K(y,z) * (w \ u),v5). K((x * (y * K(z,u))) \ w,v5) = K(K(z,u) * ((x * y) \ w),v5). x / (K(K(y,z) * ((u * w) \ v5),v6) * x) = K(v6,(u * (w * K(y,z))) \ v5). (x * y) / (K(K(z,u) * ((w * v5) \ v6),x) * y) = T(x,(w * (v5 * K(z,u))) \ v6). K((x * (y * T(z,u))) \ w,v5) = K(K(z,u) * ((x * (y * z)) \ w),v5). K(K(x,y) * ((z * (u * x)) \ w),v5) = K((z * (u * T(x,y))) \ w,v5). K((x * (y \ K(z,u))) \ w,v5) = K(K(z,u) * ((x * (y \ 1)) \ w),v5). K(K(x,y) * ((z * (u \ 1)) \ w),v5) = K((z * (u \ K(x,y))) \ w,v5). K(x,K(y,z) * ((u * w) \ v5)) = K(x,(u * (w * K(y,z))) \ v5). K(x,(y * (z * K(u,w))) \ v5) = K(x,K(u,w) * ((y * z) \ v5)). x != K(y,(z * (u * K(w \ 1,w * u))) \ v5) | x = K(y,(z * T(u,L(w \ 1,w,u))) \ v5). K(x,K(y \ 1,y * z) * ((u * z) \ w)) = K(x,(u * T(z,L(y \ 1,y,z))) \ w). K(x,((y * z) \ u) * K(w,w * z)) = K(x,(y * T(z,L(w \ 1,w,z))) \ u). K(x,(y * T(z,L(u \ 1,u,z))) \ w) = K(x,((y * z) \ w) * K(u,u * z)). x != K(y,z * K(u,u * w)) | x = K(y,K(u,w) * z). K(x,(y * T(z,L(u \ 1,u,z))) \ w) = K(x,K(u,z) * ((y * z) \ w)). x != K(y,K(z,u) * ((w * u) \ v5)) | x = K(y,(w * T(u,z)) \ v5). K(x,(y * T(z,L(u \ 1,u,z))) \ w) = K(x,(y * T(z,u)) \ w). K(x,(y * T(z,u \ 1)) \ w) = K(x,(y * T(z,u)) \ w). K(x,(y * T(z,u)) \ w) * K(x,K(w,y * z)) = K(x,w / (y * T(z,1 / u))). x != K(y,(z * T(u,w)) \ v5) * K(y,K(v5,z * u)) | x = K(y,v5 / (z * T(u,w))). K(x,y / (z * T(u,1 / w))) = K(x,y / (z * T(u,w))). K(x,y / (z * T(u,w))) = K(x,y / (z * T(u,w \ 1))). K(x,y / (z * T(u,w \ 1))) = K(x,y / (z * T(u,w))). x != K(y,z * u) | x = K(y,(z \ 1) \ u). K(x,T(y \ 1,z) \ u) = K(x,(T(y,z) \ 1) \ u). K(x,(T(y,z) \ 1) \ u) = K(x,T(y \ 1,z) \ u). x * K(T(y,z) \ u,T(y \ 1,z) \ (u \ x)) = (T(y \ 1,z) * u) * (x / (T(y \ 1,z) * u)). (T(x \ 1,y) * z) * (u / (T(x \ 1,y) * z)) = u * K(T(x,y) \ z,T(x \ 1,y) \ (z \ u)). (T(x \ 1,y) * z) * (u / (T(x \ 1,y) * z)) = u * K(T(x,y) \ z,T(x,y) * (z \ u)). (T(x \ 1,y) * y) * (z / (T(x \ 1,y) * y)) = z * K(x \ T(y,x),T(x,y) * (y \ z)). (x * (y \ 1)) * (z / (x * (y \ 1))) = z * K(y \ T(x,y),T(y,x) * (x \ z)). x * K(y \ T(z,y),T(y,z) * (z \ x)) = (z * (y \ 1)) * (x / (z * (y \ 1))). x * K(y / z,T(z,y) * (y \ x)) = (y * (z \ 1)) * (x / (y * (z \ 1))). (x * (y \ 1)) * (z / (x * (y \ 1))) = z * K(x / y,T(y,x) * (x \ z)). (x * (y \ 1)) * (z / (x * (y \ 1))) = z * K(y \ x,(x \ z) * T(y,x)). (x * (y \ 1)) * (z / (x * (y \ 1))) = z * K(y \ x,(x \ z) * y). x != (y * (z \ 1)) * (u / (y * (z \ 1))) | x = (y / z) * (u / (y / z)). x * K(y \ z,(z \ x) * y) = (z / y) * (x / (z / y)). K(x \ y,(y \ z) * x) = K(y / x,(y / x) \ z). K(x / y,(x / y) \ z) = K(y \ x,(x \ z) * y). x != y * K(z \ u,(u \ y) * z) | x = (u * (1 / z)) * (y / (u * (1 / z))). (x / y) * (z / (x / y)) = (x * (1 / y)) * (z / (x * (1 / y))). (x * (1 / y)) * (z / (x * (1 / y))) = (x / y) * (z / (x / y)). x * K((K(y,y \ x) * z) \ y,(x / y) * z) = (y / (K(y,y \ x) * z)) * (x / (y / (K(y,y \ x) * z))). (x / (K(x,x \ y) * z)) * (y / (x / (K(x,x \ y) * z))) = y * K((K(x,x \ y) * z) \ x,(y / x) * z). x * K(y / z,(T(y,z) \ x) * z) = (T(y,z) / z) * (x / (T(y,z) / z)). (T(x,y) / y) * (z / (T(x,y) / y)) = z * K(x / y,(T(x,y) \ z) * y). ((x / y) * (z / (x / y))) \ z = K(z / (x * (1 / y)),x * (1 / y)). K(x / (y * (1 / z)),y * (1 / z)) = ((y / z) * (x / (y / z))) \ x. x != (y * (z / y)) \ z | x = K(y \ z,y). K(x / (y * (1 / z)),y * (1 / z)) = K((y / z) \ x,y / z). x != K((y / z) \ u,y / z) | x = K(y \ (z * u),y / z). K(x / (y * (1 / z)),y * (1 / z)) = K(y \ (z * x),y / z). K(x / (y * (1 / 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(u * (z \ y),z / u). K(x \ (y * z),x / y) = K(y * (x \ z),x / y). x != K(y \ (z * T(u,w)),y / z) | x = K(y \ (u * z),T(z \ y,w)). K(x * (y \ T(z,u)),y / x) = K(y \ (z * x),T(x \ y,u)). K(x,K(y,T(T(z,u),w)) * ((v5 \ z) \ v6)) = K(x,(v5 \ T(z,T(y,w))) \ v6). K(x,((y \ z) \ u) * K(w,T(z,v5))) = K(x,(y \ T(z,T(w,v6))) \ u). K(x,(y \ T(z,T(u,w))) \ v5) = K(x,((y \ z) \ v5) * K(u,T(z,v6))). x != K(y,z * K(u,T(w,v5))) | x = K(y,z * K(u,w)). K(x,(y \ T(z,T(u,w))) \ v5) = K(x,((y \ z) \ v5) * K(u,z)). x != K(y,((z \ u) \ w) * K(v5,u)) | x = K(y,(z \ T(u,v5)) \ w). K(x,(y \ T(z,T(u,w))) \ v5) = K(x,(y \ T(z,u)) \ v5). K(x,(y \ T(z,z \ T(u,w))) \ v5) = K(x,((y \ z) \ v5) * K(z \ u,z)). K(x,(y \ T(z,z \ T(u,w))) \ v5) = K(x,((y \ z) \ v5) * K(u,z)). K(x,(y \ T(z,z \ T(u,w))) \ v5) = K(x,(y \ T(z,u)) \ v5). K(x,(y \ (z \ u)) \ w) = K(x,(y \ T(u / z,u)) \ w). K(x,(y \ T(z / u,z)) \ w) = K(x,(y \ (u \ z)) \ w). K(x,T(T(y / z,y) * u,u \ 1) \ w) = K(x,(((T(y / z,y) * u) \ T(y / z,y)) \ (z \ y)) \ w). x != K(y,T(z,u \ 1) \ w) | x = K(y,T(z,u) \ w). K(x,(((T(y / z,y) * u) \ T(y / z,y)) \ (z \ y)) \ w) = K(x,T(T(y / z,y) * u,u) \ w). K(x,T(T(y / z,y) * u,u) \ w) = K(x,(((T(y / z,y) * u) \ T(y / z,y)) \ (z \ y)) \ w). K(x,(((T(y / z,y) * u) \ T(y / z,y)) \ (z \ y)) \ w) = K(x,(u * T(y / z,y)) \ w). K(x,((((y / z) * u) \ (y / z)) \ (z \ y)) \ w) = K(x,(u * T(y / z,y)) \ w). K(x,((((y \ z) * u) \ (y \ z)) \ (y \ z)) \ w) = K(x,(u * T(z / y,z)) \ w). K(x,T((y \ z) * u,y \ z) \ w) = K(x,(u * T(z / y,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). x != K(y,(z * T(u,T(w,v5))) \ v6) | x = K(y,(z * T(u,w)) \ v6). K(x,(y * (z \ T(u,w))) \ v5) = K(x,(y * T(T(u,w) / z,u)) \ v5). K(x,(y * T(T(z,u) / w,z)) \ v5) = K(x,(y * (w \ T(z,u))) \ v5). x != K(y,(z * T(u,w)) \ v5) | x = K(y,(z * T(u,T(w,v6))) \ v5). K(x,(y * (z \ T(u,w))) \ v5) = K(x,(y * T(T(u,w) / z,T(u,v6))) \ v5). K(x,(y * T(T(z,u) / w,T(z,v5))) \ v6) = K(x,(y * (w \ T(z,u))) \ v6). K(x,(y * T(T(z,u \ z) / u,T(z,w))) \ v5) = K(x,(y * ((z * (u \ z)) / z)) \ v5). K(x,(y * (z / u)) \ w) = K(x,(y * ((z * (u \ z)) / z)) \ w). K(x,(y * ((z * (u \ z)) / z)) \ w) = K(x,(y * (z / u)) \ w). K(x,(y * T(z \ u,u)) \ w) = K(x,(y * (u / z)) \ w). K(x,K(y,z * (u \ w))) * K(y,(z * (w / u)) \ x) = K(y,x / (z * T(u \ w,w))). x != K(y,K(z,u * (w \ v5))) * K(z,(u * (v5 / w)) \ y) | x = K(z,y / (u * (v5 / w))). K(x,y / (z * T(u \ w,w))) = K(x,y / (z * (w / u))). x != K(y,z / (u * T(w,v5 \ 1))) | x = K(y,z / (u * T(w,v5))). K(x,y / (z * ((u \ 1) / w))) = K(x,y / (z * T(w \ (u \ 1),u))). K(x,y / (z * T(u \ (w \ 1),w))) = K(x,y / (z * ((w \ 1) / u))). K(x,y / (T(z,z \ (u \ 1)) \ 1)) = K(x,y / (u * ((z \ 1) / u))). x != K(y,z / (u \ 1)) | x = K(y,z * u). K(x,y / (z * ((u \ 1) / z))) = K(x,y * T(u,u \ (z \ 1))). x != K(y,z * T(u,u \ w)) | x = K(y,z * T(u,w)). K(x,y / (z * ((u \ 1) / z))) = K(x,y * T(u,z \ 1)). x != K(y,z * T(u,(w / v5) \ 1)) | x = K(y,z * T(u,w \ v5)). K(x,y / ((z / u) * ((w \ 1) / (z / u)))) = K(x,y * T(w,z \ u)). K(x,y / T(z \ 1,u / w)) = K(x,y * T(z,u \ w)). K(T(x / y,z) * u,T((x / y) \ 1,w)) = K((1 \ (x / y)) * u,T(y / x,w)). K(T(x / y,z) * u,T(y / x,w)) = K((1 \ (x / y)) * u,T(y / x,w)). K(T(x / y,z) * u,T(y / x,w)) = K((x / y) * u,T(y / x,w)). x != K(T(y / z,y) * u,w) | x = K((z \ y) * u,w). K((x / y) * z,T(y / x,u)) = K((y \ x) * z,T(y / x,u)). x != K((y / z) * u,T(z / y,w)) | x = K(T(y / z,v5) * u,T(z / y,w)). K((x \ y) * z,T(x / y,u)) = K(T(y / x,w) * z,T(x / y,u)). K(T(x / y,z) * u,T(y / x,w)) = K((y \ x) * u,T(y / x,w)). K(x,K((y \ z) * u,T(y / z,w)) * v5) = K(x,K(u,T((z / y) \ 1,w)) * v5). K(x,y * K((z \ u) * w,z / u)) = K(x,K(w,T((u / z) \ 1,v5)) * y). K(x,K(y,T((z / u) \ 1,w)) * v5) = K(x,v5 * K((u \ z) * y,u / z)). x != K(y,z * K(u,w / v5)) | x = K(y,z * K(u,v5 \ w)). K(x,K(y,T((z / u) \ 1,w)) * v5) = K(x,v5 * K((u \ z) * y,z \ u)). K(x,K(y,T(z / u,w)) * v5) = K(x,v5 * K((z \ u) * y,u \ z)). K(x,y * K(z,u / w)) = K(x,y * K((u \ w) * z,w \ u)). K(x,y * K((z \ u) * w,u \ z)) = K(x,y * K(w,z / u)). K(x,y * K((z \ u) * w,u \ z)) = K(x,y * K(w,u \ z)). K(x,K(y \ z,(z \ y) * u) * w) = K(x,w * K(u,y \ z)). ((x * K(x * (y \ z),z \ y)) \ u) \ (K(z \ y,(y \ z) * x) * (x \ T(u,w / (x * K(x * (y \ z),z \ y))))) = T(K(u,(x \ w) * K(x,z \ y)),(x * K(x * (y \ z),z \ y)) \ u). ((x * K(x * (y \ z),z \ y)) \ u) \ (K(z \ y,(y \ z) * x) * (x \ T(u,w / (x * K(x * (y \ z),z \ y))))) = T(K(u,T(x,z \ y) \ w),(x * K(x * (y \ z),z \ y)) \ u). ((x * K(x * (y \ z),z \ y)) \ u) \ (K(z \ y,(y \ z) * x) * (x \ T(u,w / (x * K(x * (y \ z),z \ y))))) = T(K(u,T(x,z \ y) \ w),K(z \ y,(y \ z) * x) * (x \ u)). (T(x,y) / y) * (z / (T(x,y) / y)) = z * K(y \ x,y * (T(x,y) \ z)). (x / (K(x,x \ y) * z)) * (y / (x / (K(x,x \ y) * z))) = y * K((z \ x) * K(x \ y,x),(y / x) * z). (x / (K(x,x \ y) * z)) * (y / (x / (K(x,x \ y) * z))) = y * K(K(y,x) * (z \ x),(y / x) * z). (x / (K(x,x \ y) * z)) * (y / (x / (K(x,x \ y) * z))) = y * K(z \ T(x,y),(y / x) * z). K(x,R(y,z,z \ 1) \ u) = K(x,((z \ 1) * (z * y)) \ u). K(x,((y \ 1) * (y * z)) \ u) = K(x,R(z,y,y \ 1) \ u). K(x,L(y,z,z \ 1) \ u) = K(x,R(y,z,z \ 1) \ u). K(x,R(y,z,z \ 1) \ u) = K(x,L(y,z,z \ 1) \ u). x / (K(y,L(z,u,u \ 1) \ w) * x) = K(R(z,u,u \ 1) \ w,y). K(L(x,y,y \ 1) \ z,u) = K(R(x,y,y \ 1) \ z,u). K(R(x,y,y \ 1) \ z,u) = K(L(x,y,y \ 1) \ z,u). x != K(L(y,z,z \ 1) \ u,w) | x = K(((z \ 1) * (z * y)) \ u,w). K(R(x,y,y \ 1) \ z,u) = K(((y \ 1) * (y * x)) \ z,u). K(((x \ 1) * (x * y)) \ z,u) = K(R(y,x,x \ 1) \ z,u). K(x,T(y,x * z)) = K(R(z,x,x \ 1) \ (x * z),y). K(R(x,y,y \ 1) \ (y * x),z) = K(y,T(z,y * x)). x != K(y,T(z,y * u)) | x = K(y,T(z,u)). K(R(x,y,y \ 1) \ (y * x),z) = K(y,T(z,x)). ((x * y) * K(x,T(z,y))) / R(y,x,x \ 1) = T(((x * y) * (x \ 1)) \ (x * y),z). (x * (y * K(x,T(z,y)))) / R(y,x,x \ 1) = T(((x * y) * (x \ 1)) \ (x * y),z). (x * (K(x,y) * z)) / R(z,x,x \ 1) = T(((x * z) * (x \ 1)) \ (x * z),y). (T(x,y) * z) / R(z,x,x \ 1) = T(((x * z) * (x \ 1)) \ (x * z),y). T(((x * y) * (x \ 1)) \ (x * y),z) = (T(x,z) * y) / R(y,x,x \ 1). T((x * y) / R(y,x,x \ 1),z) = (T(x,z) * y) / R(y,x,x \ 1). (T(x,y) * z) / R(z,x,x \ 1) = T((x * z) / R(z,x,x \ 1),y). (T(x,y) * z) / R(z,x,x \ 1) = T(z * (R(z,x,x \ 1) \ x),y). a(x,y,y \ 1) \ T(y,z) = T(x * (R(x,y,y \ 1) \ y),z). T(x * (R(x,y,y \ 1) \ y),z) = a(x,y,y \ 1) \ T(y,z). T(a(x,y,y \ 1) \ y,z) = a(x,y,y \ 1) \ T(y,z). a(x,y,y \ 1) \ T(y,z) = T(a(x,y,y \ 1) \ y,z). K(x,(T(y,z) \ 1) \ x) = K(x,T(y * x,z)). K(x,x * T(y,z)) = K(x,T(y * x,z)). x != K(y,T(z * y,u)) | x = K(y,T(y * z,u)). K(x,x * T(y,z)) = K(x,T(x * y,z)). K(x,(((x / y) \ z) * (x / y)) * y) = K(x,T(x * (x \ (z * y)),x / y)). K(x,T(x * (x \ (y * z)),x / z)) = K(x,(((x / z) \ y) * (x / z)) * z). K(x,T(y * z,x / z)) = K(x,(((x / z) \ y) * (x / z)) * z). K(x,(((x / y) \ z) * (x / y)) * y) = K(x,T(z * y,x / y)). x != K(y,T(z,y / u)) | x = K(y,T(z,u)). K(x,(((x / y) \ z) * (x / y)) * y) = K(x,T(z * y,y)). K(x,(((x / y) \ z) * (x / y)) * y) = K(x,y * z). K(x,T(y,x / z) * z) = K(x,z * y). x * K(y,K(z,u)) != K(y,T(u \ 1,w) * z) | x = K(y,z * T(u \ 1,w)). K(x,y / T(z,u)) = K(x,y * T(z \ 1,u)). K(x,y * T(z \ 1,u)) = K(x,y / T(z,u)). K(x,y * T(z,u)) = K(x,y / T(1 / z,u)). K(x,y / T(1 / z,u)) = K(x,y * T(z,u)). x != L(y,K(z,u),K(w,v5)) | x = y. x / ((y \ K(z,u)) * y) = x * (K(u,z) * K(y,y \ K(z,u))). x * (K(y,z) * K(u,u \ K(z,y))) = x / ((u \ K(z,y)) * u). K(x,y / (T(z,u) * u)) = K(x,y / T(z * u,z)). K(x,y / T(z * u,z)) = K(x,y / (T(z,u) * u)). x != K(y,z / T(u,w)) | x = K(y,z / (w * (u / w))). K(x,y / (T(z,u) * u)) = K(x,y / (z * ((z * u) / z))). x != K(y,z \ K(u,u \ w)) | x = K(y,z \ K(u,w)). K(x,(y \ (((y \ z) \ z) * u)) / w) = K(x,(w / u) \ K(y,z)). K(x,y * (z \ K(u,w))) = K(x,(u \ (((u \ w) \ w) * y)) / z). K(x,(y \ (((y \ z) \ z) * u)) / w) = K(x,u * (w \ K(y,z))). K(x,(K(y,y \ z) * u) / w) = K(x,u * (w \ K(y,z))). K(x,y * (z \ K(u,u \ w))) = K(x,y * (z \ K(u,w))). K(x,((y * (z / y)) * u) / w) = K(x,(z * u) * (w \ K(y,z))). K(K(K(x,y),z) * ((u * (w \ K(x,y))) \ v5),v6) = K((u * ((w \ 1) * T(K(x,y),z))) \ v5,v6). K(K(x,K(y,z)) * ((u * (w \ K(x,y))) \ v5),v6) = K((u * ((w \ 1) * T(K(x,y),z))) \ v5,v6). K((x * (y \ K(z,u))) \ w,v5) = K((x * ((y \ 1) * T(K(z,u),v6))) \ w,v5). K((x * ((y \ 1) * T(K(z,u),w))) \ v5,v6) = K((x * (y \ K(z,u))) \ v5,v6). K((x * ((y \ 1) * K(z,T(u,w)))) \ v5,v6) = K((x * (y \ K(z,u))) \ v5,v6). K((x * (y \ K(z,T(u,w)))) \ v5,v6) = K((x * (y \ K(z,u))) \ v5,v6). T(x,K(y,z) * ((u * w) \ v5)) = T(x,(u * (w * K(y,z))) \ v5). T(x,(y * (z * K(u,w))) \ v5) = T(x,K(u,w) * ((y * z) \ v5)). T(x,(y * ((z \ u) * z)) \ w) = T(x,K(z \ u,z) * ((y * u) \ w)). T(x,K(y \ z,y) * ((u * z) \ w)) = T(x,(u * ((y \ z) * y)) \ w). T(x,(y * T(z,u)) \ w) = T(x,K(z,u) * ((y * z) \ w)). T(x,K(y,z) * ((u * y) \ w)) = T(x,(u * T(y,z)) \ w). T(x,K(y,z) * ((u * y) \ w)) = T(x,(u * ((z \ y) * z)) \ w). T(x,(y * ((z \ u) * z)) \ w) = T(x,K(u,z) * ((y * u) \ w)). x != T(y,K(z,u) * ((w * z) \ v5)) | x = T(y,(w * T(z,u)) \ v5). T(x,(y * ((z \ u) * z)) \ w) = T(x,(y * T(u,z)) \ w). K((x * (K(y,z) * u)) \ w,v5) = K(K(y,z) * (w / (x * u)),T(v5,w)). K(K(x,y) * (z / (u * w)),T(v5,z)) = K((u * (K(x,y) * w)) \ z,v5). x != T(y,z / T(1 / u,w)) | x = T(y,z / T(u \ 1,w)). 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)). T(x,y / (((z * u) \ u) \ 1)) = T(x,y * T((u * z) \ u,u)). x != T(y,z * T(u \ w,w)) | x = T(y,z * (w / u)). T(x,y / (((z * u) \ u) \ 1)) = T(x,y * (u / (u * z))). T(x,y * (z / (z * u))) = T(x,y * ((u * z) \ z)). T(x,y * (z / (a(z,u,z) \ w))) = T(x,y * (((R(z,u,z) \ w) * z) \ z)). T(x,y * (((R(z,u,z) \ w) * z) \ z)) = T(x,y * (z / (a(z,u,z) \ w))). T(x,y * (((R(z,u,z) \ w) * z) \ z)) = T(x,y * (a(z,u,z) * (z / w))). x != T(y,z * (a(u,w,u) * v5)) | x = T(y,z * v5). T(x,y * (((R(z,u,z) \ w) * z) \ z)) = T(x,y * (z / w)). T(x,y * (((z \ u) * L(z,w,z)) \ z)) = T(x,y * (z / u)). T(x,y * (((z \ u) * z) \ R(z,w,z))) = T(x,y * (z / u)). (L(x \ 1,y,z) \ 1) \ T(L(x \ 1,y,z) \ 1,u / T(w,v5)) = T(K(x,L(u * T(w \ 1,v5),y,z)),L((x \ 1) \ 1,y,z)). (L(x \ 1,y,z) \ 1) \ T(L(x \ 1,y,z) \ 1,u / T(w,v5)) = T(K(x,L(u * T(w \ 1,v5),y,z)),L(T(x,1),y,z)). (L(x \ 1,y,z) \ 1) \ T(L(x \ 1,y,z) \ 1,u / T(w,v5)) = T(K(x,L(u * T(w \ 1,v5),y,z)),L(x,y,z)). (L(x \ 1,y,z) \ 1) \ T(L(x \ 1,y,z) \ 1,u / T(w,v5)) = K(x,L(u * T(w \ 1,v5),y,z)). K(L(x \ 1,y,z) \ 1,u / T(w,v5)) = K(x,L(u * T(w \ 1,v5),y,z)). K((x \ 1) \ 1,L(y / T(z,u),w,v5)) = K(x,L(y * T(z \ 1,u),w,v5)). K(x,L(y / T(z,u),w,v5)) = K(x,L(y * T(z \ 1,u),w,v5)). K(x,L(y * T(z \ 1,u),w,v5)) = K(x,L(y / T(z,u),w,v5)). K(x,K(y,z) * (u / (w * v5))) = K(x,u / (w * (v5 * K(y,z)))). K(x,y / (z * (u * K(w,v5)))) = K(x,K(w,v5) * (y / (z * u))). K(x,y / (z * ((u * w) / u))) = K(x,K(u,w) * (y / (z * w))). K(x / (y * K(z,u)),w) = K(K(z,u) * (x / y),w). K(x / ((y \ (y / z)) * y),u) = K(K(z \ 1,y) * (x / (y / z)),u). K(x / (y / T(z,u)),w) = K(K(u,z) * (x / (y / z)),w). K(K(x,y) * (z / (u / y)),w) = K(z / (u / T(y,x)),w). K(K(x,y) * (z / (x \ u)),w) = K(z / (T(x,y) \ u),w). x != K(K(y,z) * (u / (z \ y)),w) | x = K(u / (y / z),w). K(x / (T(y,z) \ z),u) = K(x / (z / y),u). K(x / (y \ T(z,y)),u) = K(x / (z / y),u). K((x \ T(y,x)) \ z,u) = K(z / (y / x),T(u,x \ y)). K(x / (y / z),T(u,z \ y)) = K((z \ T(y,z)) \ x,u). K((x / y) \ z,u) = K((y \ T(x,y)) \ z,u). K((x \ T(y,x)) \ z,u) = K((y / x) \ z,u). K((T(x,y) \ y) \ z,u) = K((y / x) \ z,u). ((x * y) / x) / ((x * (y * K((z / u) \ w,y))) / x) = K(y,T((u \ T(z,u)) \ w,x)). K(x,T((y \ T(z,y)) \ u,w)) = ((w * x) / w) / ((w * (x * K((z / y) \ u,x))) / w). K(x,T((y \ T(z,y)) \ u,w)) = K(x,T((z / y) \ u,w)). K(x,T((T(y,z) \ z) \ u,w)) = K(x,T((z / y) \ u,w)). x != K(K(y,z) * (u / w),v5) | x = K(u * (w \ K(z,y)),v5). K(x / (T(y,z) \ u),w) = K(x * ((y \ u) \ K(z,y)),w). K(x * ((y \ z) \ K(u,y)),w) = K(x / (T(y,u) \ z),w). x / (K(y / (T(z,u) \ w),v5) * x) = K(v5,y * ((z \ w) \ K(u,z))). K(x,y * ((z \ u) \ K(w,z))) = v5 / (K(y / (T(z,w) \ u),x) * v5). K(x,y * ((z \ u) \ K(w,z))) = K(x,y / (T(z,w) \ u)). x != K(y,z * (u \ K(w,v5))) | x = K(y,K(w,v5) * (z / u)). 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 != L(y,z,T(u \ w,u \ 1)) | x = L(y,z,w / u). L(x,K(y,z),u \ w) = L(x,K(y,z),w / u). L(x,K(y,z),u / w) = L(x,K(y,z),w \ u). L(x \ L(x,K(y,z),u),x,((z \ K(z,y)) \ u) * (z \ 1)) = a(x,K(y,z),((z \ 1) \ u) * (z \ 1)). L(x \ L(x,K(y,z),u),x,T(u * K(y,T(z,w * u)),w)) = a(x,K(y,z),T(u,w)). L(x \ L(x,K(y,z),u),x,K(y,z) * T(u,w)) = a(x,K(y,z),T(u,w)). ((x \ (x / y)) * x) * ((z \ L(K(x,y \ 1) * z,K(y \ 1,x),y \ x)) * z) = (x / y) * (z * K(K(y \ 1,x) \ 1,z)). ((x \ (x / y)) * x) * ((z \ (K(x,y \ 1) * z)) * z) = (x / y) * (z * K(K(y \ 1,x) \ 1,z)). ((x \ (x / y)) * x) * (T(K(x,y \ 1),z) * z) = (x / y) * (z * K(K(y \ 1,x) \ 1,z)). ((x \ (x / y)) * x) * (z * K(x,y \ 1)) = (x / y) * (z * K(K(y \ 1,x) \ 1,z)). (x / y) * (z * K(K(y \ 1,x) \ 1,z)) = ((x \ (x / y)) * x) * (z * K(x,y \ 1)). (x / y) * (z * K(K(x,y \ 1),z)) = ((x \ (x / y)) * x) * (z * K(x,y \ 1)). (x / y) * (z * K(x,K(y,z))) = ((x \ (x / y)) * x) * (z * K(x,y \ 1)). (x / y) * T(z,K(x,y)) = ((x \ (x / y)) * x) * (z * K(x,y \ 1)). ((x \ (x / y)) * x) * (z * K(x,y \ 1)) = (x / y) * T(z,K(x,y)). ((x \ (x / y)) * x) * (z * K(x,y \ 1)) != u | T((x / y) * z,K(x,y)) = u. x != K(y,z * (u * (w * K(v5,v5 \ v6)))) | x = K(y,z * (u * (w * K(v6,v5)))). K(x,y * ((z * (u / z)) * w)) = K(x,y * (u * (w * K(u,z)))). x != K(y,z * (u * (w * K(u,v5)))) | x = K(y,z * (T(u,v5) * w)). K(x,y * ((z * (u / z)) * w)) = K(x,y * (T(u,z) * w)). x != K(y,z * (u * (T(w,u) * K(v5,v6)))) | x = K(y,z * ((K(v5,v6) * w) * u)). K(x,y * (z * (K(u,w) * v5))) = K(x,y * ((K(u,w) * z) * v5)). K(x,y * ((K(z,u) * w) * v5)) = K(x,y * (w * (K(z,u) * v5))). K(x,y * ((z / T(u,K(w,v5))) * v6)) = K(x,y * ((z / u) * (K(w,K(v5,u)) * v6))). K(x,y * ((z / u) * (K(w,K(v5,u)) * v6))) = K(x,y * ((z / T(u,K(w,v5))) * v6)). K(x,y * ((z / T(u,K(w,v5))) * v6)) != v7 | K(x,y * ((z / u) * v6)) = v7. K((x * K(y,z)) * u,w) != v5 | K(K(y,z) * ((1 / x) \ u),w) = v5. K(K(x,y) * (z / u),T(w,z)) != v5 | K(K(y,x) * (u \ z),w) = v5. K(K(x,y) * ((z * u) \ w),v5) = K((z * (K(y,x) * u)) \ w,v5). K((x * (K(y,z) * u)) \ w,v5) = K(K(z,y) * ((x * u) \ w),v5). K(K(x,y) * ((1 / z) \ u),w) = K(z * (u * K(y,x)),w). 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)). K(K(x,y) * (z \ (u * w)),v5) = K(z \ ((K(x,y) * u) * w),v5). K(x \ ((K(y,z) * u) * w),v5) = K(K(y,z) * (x \ (u * w)),v5). K(K(x,y) * (((K(x,y) * z) * (u / w)) \ (z * u)),v5) != v6 | K(L(w,u / w,K(x,y) * z),v5) = v6. K(((x \ 1) \ y) * K(z,u),w) = K((y * K(z,u)) * T(x,y),w). x != K((y * K(z,u)) * T(w,y),v5) | x = K((w * K(z,u)) * y,v5). K(((x \ 1) \ y) * K(z,u),w) = K((x * K(z,u)) * y,w). K((x * y) \ z,u) = K(K(w,L(v5,x,y)) * (((K(w,v5) * x) * y) \ z),u). K(K(x,L(y,z,u)) * (((K(x,y) * z) * u) \ w),v5) = K((z * u) \ w,v5). K(K(x,y) * (((K(x,y) * z) * u) \ w),v5) = K((z * u) \ w,v5). K(L(x,y / x,K(z,u) * w),v5) = K((w * (y / x)) \ (w * y),v5). x != K((y * (z / u)) \ (y * z),w) | x = K(u,L(w,z,y)). K(L(x,y / x,K(z,u) * w),v5) = K(x,L(v5,y,w)). K(x,L(y,z,K(u,w) * v5)) = K(x,L(y,z,v5)). K(x,L(y,z,u * K(w,v5))) = K(x,L(y,z,u)). K(x,L(y,z,T(u,w) \ v5)) = K(x,L(y,z,u \ v5)). K(x,L(y,z,u \ T(w,v5))) = K(x,L(y,z,u \ w)). (T(x,y) * z) * K(u,L(w,x,z)) = (K(x,y) * z) * (T(x,z) * K(u,w)). (K(x,y) * z) * (T(x,z) * K(u,w)) = (T(x,y) * z) * K(u,L(w,x,z)). K(x,y) * K(y,L(x,z,u)) = a(y,z,K(K(w,v5) * u,x)). a(x,y,K(K(z,u) * w,v5)) = K(v5,x) * K(x,L(v5,y,w)). K(x,L(y,z,u)) * (z * (K(w,v5) * u)) = (K(x,y) * z) * (K(w,v5) * u). K(x,L(y,z,u \ (w \ v5))) = K(x,L(y,z,u \ (v5 / w))). K(x,L(y,z,u \ (w / v5))) = K(x,L(y,z,u \ (v5 \ w))). K(x,L(y,z,u)) = K(x,L(y,z,u / K(w,v5))). K(x,L(y,z,u / K(w,v5))) = K(x,L(y,z,u)). K(x,L(y,z,u \ K(w,v5))) != v6 | K(x,L(y,z,u \ 1)) = v6. K(x,L((y / (z \ 1)) / u,u,z \ 1)) = K(x,(y * K(w,L(v5,z \ 1,y * z))) / (u * (z \ K(w,v5)))). K(x,(y * K(z,L(u,w \ 1,y * w))) / (v5 * (w \ K(z,u)))) = K(x,y / (v5 * (w \ 1))). K(x,((y / (z \ 1)) * (z \ K(u,w))) / (v5 * (z \ K(u,w)))) = K(x,y / (v5 * (z \ 1))). x != K(y,((z / (u \ 1)) * (u \ K(w,v5))) / v6) | x = K(y,z * (v6 \ K(w,v5))). K(x,y / (z * (u \ 1))) = K(x,y * ((z * (u \ K(w,v5))) \ K(w,v5))). K(x,y * ((z * (u \ K(w,v5))) \ K(w,v5))) = K(x,y / (z * (u \ 1))). K(x,y * T(a(z,u,w) \ v5,v5 \ K(v6,v7))) = K(x,y / (a(z,u,w) * (v5 \ 1))). (K(x,y) * z) * (K(u,w) * v5) != v6 * (z * (K(u,w) * v5)) | K(x,L(y,z,v5)) = v6. a(x,y,K(K(z,u) * w,v5)) = a(x,y,K(w,v5)). a(x,y,K(z * K(u,w),v5)) = a(x,y,K(z,v5)). a(x,y,K(K(z,u) * w,v5)) = a(v5,y,K(x,w)). a(x,y,K((z \ u) * w,v5)) = a(x,y,K((u / z) * w,v5)). a(x,y,K((z / u) * w,v5)) = a(x,y,K((u \ z) * w,v5)). a(x,y,K((z / u) \ w,v5)) = a(x,y,K((u \ z) \ w,v5)). (K(x,y) * z) * a(u,w,K(z,v5)) != v6 | T(K(x,y) * z,a(u,w,v5)) = v6. a(x,y,K(z \ K(u,w),v5)) = a(x,y,K(z \ 1,v5)). a(x,T(y,z),K(u,w)) * K(x,(w * T(y,z)) \ (y * u)) = K(x,T(y,z) \ (w \ (y * u))). a(x,y,K(z,K(u,w) * v5)) = a(x,y,K(z,v5)). a(x,y,K(z,u)) * z = L(z,y,K(K(w,v5) * u,x)). L(x,y,K(K(z,u) * w,v5)) = a(v5,y,K(x,w)) * x. x != a(y,z,K(u,w)) * u | x = L(u,z,K(w,y)). L(x,y,K(K(z,u) * w,v5)) = L(x,y,K(w,v5)). x != L(y,z,K(K(u,w) * v5,v6)) | x = L(y,z,K(v6,v5 \ K(w,u))). L(x,y,K(z,u)) = L(x,y,K(u,z \ K(w,v5))). L(x,y,K(z,u \ K(w,v5))) = L(x,y,K(u,z)). L(x,y,K(z,u \ T(w,v5))) = L(x,y,K(w \ u,z)). a(x,y,K(z,u \ (w / v5))) = a(x,y,K(z,u \ (v5 \ w))). a(x,y,K(z \ 1,u)) * (z \ K(w,v5)) = L(z \ K(w,v5),y,K(u,x)). a(x,y,K(z,u)) * (x \ K(w,v5)) = L(x \ K(w,v5),y,K(u,z)). L(x \ K(y,z),u,K(w,v5)) = L(x,u,K(w,v5)) \ K(y,z). L(x,y,K(z,u)) \ K(w,v5) = L(x \ K(w,v5),y,K(z,u)). T(K(x,y) * z,a(u,w,v5)) = K(x,y) * L(z,w,K(v5,u)). K(x,y) * L(z,u,K(w,v5)) = T(K(x,y) * z,a(v5,u,w)). K(x,y) * L(T(z,K(y,x)),u,K(w,v5)) = T(z * K(x,y),a(v5,u,w)). K(x,y) * T(z,a(u,w,v5)) = T(K(x,y) * z,a(u,w,v5)). K(x,y) * L(z,u,K(w,v5)) != v6 | L(K(x,y) * z,u,K(w,v5)) = v6. T(x * K(y,z),a(u,w,v5)) = T(x,a(u,w,v5)) * K(y,z). T(x,a(y,z,u)) * K(w,v5) = T(x * K(w,v5),a(y,z,u)). L(x,y,K(z,u)) * K(w,v5) = T(x * K(w,v5),a(u,y,z)). L(x,y,K(z,u)) * K(w,v5) != v6 | L(x * K(w,v5),y,K(z,u)) = v6. K(x,y) * z != T(u * K(x,y),a(w,v5,v6)) | z = T(u,a(w,v5,v6) * K(x,y)). L(T(x,K(y,z)),u,K(w,v5)) = T(x,a(v5,u,w) * K(z,y)). T(x,a(y,z,u) * K(w,v5)) = L(T(x,K(v5,w)),z,K(u,y)). T(x,K(y,z) * a(u,w,v5)) = L(T(x,K(z,y)),w,K(v5,u)). a(x,y,z) * L(T(u,K(w,v5)),y,K(z,x)) = T(u * a(x,y,z),K(v5,w)). a(x,y,z) * L(T(u,K(w,v5)),y,K(z,x)) = T(u * a(x,y,z),K(w,v5)). T(x,K(y,z)) * a(u,w,v5) = T(x * a(u,w,v5),K(y,z)). (a(x,y,z) * u) \ T(T(u * a(x,y,z),K(w,v5)),T(u,K(w,v5))) = K(u,K(w,v5)). (a(x,y,z) * u) \ T(T(u * a(x,y,z),K(w,v5)),u) = K(u,K(w,v5)). (a(x,y,z) * u) \ T(a(x,y,z) * u,K(w,v5)) = K(u,K(w,v5)). K(x,K(y,z)) * (a(u,w,v5) * x) = T(a(u,w,v5) * x,K(y,z)). a(x,y,z) * T(u,K(w,v5)) = T(a(x,y,z) * u,K(w,v5)). x * y != T(y,K(z,u)) | x = K(z,K(u,y)). K(x,K(y,z)) = K(y,K(z,a(u,w,v5) * x)). K(x,K(y,a(z,u,w) * v5)) = K(v5,K(x,y)). K(x * a(y,z,u),K(w,v5)) = K(x,K(w,v5)). x * K(y,K(z,x)) = T(x,K(z,a(u,w,v5) * y)). T(x,K(y,a(z,u,w) * v5)) = x * K(v5,K(y,x)). T(K(x,K(y,z)) * u,K(y,K(z,a(w,v5,v6) * x))) / u = K(y,K(z,x * a(w,v5,v6))). T(x,K(y,a(z,u,w) * v5)) = T(x,K(y,v5)). T(x,K(y,a(z,u,w) * v5)) != v6 | T(x,K(y,v5)) = v6. T(x,K(y,z * a(u,w,v5))) = T(x,K(y,z)). x != T(y,K(z,u * w)) | x = T(y,K(z,u \ w)). T(x,K(y,z)) = T(x,K(y,a(u,w,v5) \ z)). T(x,K(y,a(z,u,w) \ v5)) = T(x,K(y,v5)). T(T(x,K(y,z)),y \ (a(u,w,v5) * z)) = T(x,(a(u,w,v5) * z) / y). T(x,K(y,(z * u) * w)) = T(x,K(y,z * (u * w))). T(x,K(y,z \ a(u,w,v5))) = T(x,K(y,z)). T(x,K(y,a(z,u,w) \ v5)) = T(x,K(v5,y)). T(T(x,K(y,z)),y * (z \ a(u,w,v5))) = T(x,(z \ a(u,w,v5)) * y). T(T(x,K(y,z)),y * (a(u,w,v5) / z)) = T(x,(a(u,w,v5) / z) * y). T(a(x,y,z) * u,K(w,v5)) * K(w,v5) = (a(x,y,z) * K(w,v5)) * u. T(T(x,K(y,z)),(a(u,w,v5) \ y) \ z) = T(x,z / (a(u,w,v5) \ y)). x * y != K(z * a(u,w,v5),K(v6,v7)) | x \ K(z,K(v6,v7)) = y. K(x * a(y,z,u),w) \ K(x,K(w,v5)) = K(w,T(x * a(y,z,u),v5)). K(x,y) * K(z,K(x,y)) = K(x,T(y,z * a(u,w,v5))). K(x,T(y,z * a(u,w,v5))) = K(x,y) * K(z,K(x,y)). a(x,y,K(z,u)) * K(u,z * K(w,v5)) = K(u,L(z * K(w,v5),y,x)). x != (K(y,z) * (u \ 1)) * a(u,u \ K(y,z),u) | x = L(K(y,z),u \ 1,u) / u. K(x,y) * (L(z,z \ K(x,y),z) \ 1) = L(K(x,y),z \ 1,z) / z. K(x,L(T(y,z) / z,u,w)) != v5 | K(x,L(z \ y,u,w)) = v5. x * (T(y,z) * K(u,K(w,x * y))) = T(x * T(y,z),K(u,w)). (x / R(y,z,y)) * (u / (w / R(y,z,y))) = (x / y) * (u / (w / y)). a(x,y,K(z,L(u,w,v5))) = a(L(x,w,v5),y,K(z,u)). a(L(x,y,z),u,K(w,v5)) = a(x,u,K(w,L(v5,y,z))). a(L(x,y,z),u,K(w,v5)) != v6 | a(x,u,K(w,L(v5,y,z))) = v6. a(x,y,K(z,u)) = a(x,x \ y,K(z,u)). a(x,x \ y,K(z,u)) = a(x,y,K(z,u)). a(x,y \ z,K(y,u)) = a(y,z,K(u,x)). K(x,L(y,z \ T(u,z),z)) = K(x,y) * a(z,u,K(y,x)). x * a(x,y,K(z,u)) = L(x,x \ y,K(z,u)). a(x,y \ z,K(y,u)) = a(x,z,K(y,u)). a(x,y,K(z,u)) = a(x,z * y,K(z,u)). a(x,y * z,K(y,u)) = a(x,z,K(y,u)). K(x,y) * a(x,z,K(u,y)) = K(x,L(y,u \ z,u)). K(x,L(y,z \ u,z)) = K(x,y) * a(x,u,K(z,y)). x * a(y,z,K(u,x)) = L(x,u * z,K(y,u)). L(x,y * z,K(u,y)) = x * a(u,z,K(y,x)). L(x,y,K(z,u)) = L(x,x \ y,K(z,u)). L(x,x \ y,K(z,u)) = L(x,y,K(z,u)). x != L(y,T(z,u),K(w,z)) | x = y. L(x,x \ T(y,z),K(u,y)) = x. L(x,T(y,x),K(z,u)) = L(x,y * x,K(z,u)). L(x,y * x,K(z,u)) = L(x,T(y,x),K(z,u)). (K(x,y) * z) / L(u,z,K(x,y)) = K(x,y) * (z / u). (x * y) / L(z,y * x,K(x,y)) = K(x,y) * ((y * x) / z). L(x,y,K(z,u)) \ (y * K(z,u)) = (x \ y) * K(z,u). L(x,y,K(z,z \ y)) \ (z * (y / z)) = (x \ y) * K(z,z \ y). L(x,y \ z,K(y,z)) \ (K(y,z) * (y \ z)) = (x \ (y \ z)) * K(y,z). x \ (K(y,z) * K(u,w)) = (x \ K(y,z)) * K(u,w). x != K(y,z) * a(u,w,K(z,y)) | x = K(y,L(z,w,u)). K(x,L(y,z \ T(u,z),z)) = K(x,L(y,u,z)). K(x,L(y,z \ u,z)) = K(x,L(y,u,z)). K((x * ((x \ y) * z)) \ y,u) = K(z \ 1,L(u,y,x)). K(x,(y * z) \ u) = K(x,L(z \ (y \ u),u,y)). K(x,L(y \ (z \ u),u,z)) = K(x,(z * y) \ u). x != K(y,L(z \ (u / w),w \ u,w)) | x = K(y,(w * z) \ T(u,w)). K(x,L(y \ (z / u),z,u)) = K(x,(u * y) \ T(z,u)). x != K(y,L((z / u) / w,u \ z,u)) | x = K(y,z / (w * u)). K(x,L((y / z) / u,y,z)) = K(x,y / (u * z)). x != K(y,L(T(z,u \ w),u \ w,u)) | x = K(w \ (u * (y * (u \ w))),z). K(x,L(T(y,z \ u),u,z)) = K(u \ (z * (x * (z \ u))),y). K(x \ (y * (z * (y \ x))),u) = K(z,L(T(u,y \ x),x,y)). K((x \ y) \ z,L(u,y,x)) = K(y \ (x * z),u). K(x,y \ (z * u)) = K(x,L((z \ y) \ u,y,z)). K(x,L((y \ z) \ u,z,y)) = K(x,z \ (y * u)). K(x,L(y,z,z \ u)) = K(x,L(y,u,z \ u)). K(x,L(y,z,u \ z)) = K(x,L(y,u,u \ z)). x * a(y,z * ((z \ u) * w),K((z * ((z \ u) * w)) \ u,u \ x)) = u * L(u \ x,x,K(w,L(y,u,z))). x \ (y * (a(z,u,K(w,v5)) * (y \ x))) = a(w,u,K(v5,L(z,x,y))). K(x,L(y,z,u)) * (u * (u \ z)) = (K(x,y) * (u \ z)) * T(u,u \ z). (K(x,y) * (z \ u)) * T(z,z \ u) = K(x,L(y,u,z)) * (z * (z \ u)). K(x,L(y,z,z * u)) = K(x,L(y,u \ 1,(u \ 1) \ z)). K(x,L(y,z \ 1,(z \ 1) \ u)) = K(x,L(y,u,u * z)). K(x,L(y,z,u \ 1)) = K(x,L(y,u * z,(u * z) \ z)). K(x,L(y,z * u,(z * u) \ u)) = K(x,L(y,u,z \ 1)). x != K(y,L(z / u,u,w)) | x = K(y,(z * w) / (u * w)). K(x,L(y / z,u,z \ u)) = K(x,(y * (z \ u)) / (z * (z \ u))). K(x,(y * (z \ u)) / (z * (z \ u))) = K(x,L(y / z,u,z \ u)). K(x,L(y,z,z \ x)) != u | K(x,y) = u. K(x,L(y,z * u,(z * u) \ z)) != w | K(x,L(y,z,u \ 1)) = w. K(x,(y \ x) \ z) = K(x,x \ (y * z)). K(x,L(a(y \ 1,y,z) \ u,z,L(z,y,y \ 1))) = K(x,z \ (L(z,y,y \ 1) * u)). K(x,L((y * K(z,u)) \ w,u,T(u,z) / y)) = K(x,u \ ((T(u,z) / y) * w)). (x * y) / z = K(x,y) * ((y * x) / z). K(x,y) * ((y * x) / z) = (x * y) / z. x * y != z / (u \ z) | x \ u = y. K(x,y) \ z = (y * x) / (z \ (x * y)). (x * y) / (z \ (y * x)) = K(y,x) \ z. K(x * y,R(z,x,y)) * (((z * x) * y) / u) = ((x * y) * R(z,x,y)) / u. K((x * y) \ x,x * y) * (((x * y) * ((x * y) \ x)) / z) = (x * K(y \ 1,x * y)) / z. K(x,(y * a(z,u,w)) / v5) != v6 | K(x,(a(z,u,w) * y) / v5) = v6. K(x,y * ((z * K(u,w)) / v5)) = K(x,y * ((K(u,w) * z) / v5)). K(x,y * ((K(z,u) * w) / v5)) = K(x,y * ((w * K(z,u)) / v5)). (K(x,y) * T(y,z)) / u = K(x,y) * (T(y,z) / u). (K(x,y) * (x \ y)) / z = K(x,y) * ((x \ y) / z). (K(x,y) * K(z,u)) / w = K(x,y) * (K(z,u) / w). K(x * y,L(z,x,y)) * (((z * x) * y) / u) = ((x * y) * R(z,x,y)) / u. K(x * y,z) * (((z * x) * y) / u) = ((x * y) * R(z,x,y)) / u. x != K(y * z,u) * (((u * y) * z) / u) | x = u \ ((u * y) * z). ((x * y) * R(z,x,y)) / z = z \ ((z * x) * y). x * y != z \ ((z * u) * w) | x \ (((u * w) * R(z,u,w)) / z) = y. x \ (((y * x) * R(R(x,z,u),y,x)) / R(x,z,u)) = R(x,z,u) \ T(R(x,z,u) * y,x). x \ ((y * x) * a(x,y,x)) = R(x,z,u) \ T(R(x,z,u) * y,x). R(x,y,z) \ T(R(x,y,z) * u,x) = x \ ((u * x) * a(x,u,x)). R(x,y,z) \ T(R(x,y,z) * u,x) = x \ T(x * u,x). x * (x \ T(x * y,x)) = R(x,z,u) \ ((R(x,z,u) * y) * x). R(x,y,z) \ ((R(x,y,z) * u) * x) = x * (x \ T(x * u,x)). R(x,y,z) \ ((R(x,y,z) * u) * x) = T(x * u,x). x != R(y,z,u) \ ((R(y,z,u) * (y \ w)) * y) | x = w * K(w * (y \ R(y,z,u)),y). T(x * (x \ y),x) = y * K(y * (x \ R(x,z,u)),x). x * K(x * (y \ R(y,z,u)),y) = T(y * (y \ x),y). x * K(x * (y \ R(y,z,u)),y) = T(x,y). T(x,y) \ x = K(y,x * (y \ R(y,z,u))). K(x,y * (x \ R(x,z,u))) = T(y,x) \ y. K(x,y * (x \ R(x,z,u))) = K(x,y). x * K(x,y) = T(x,y * (x \ R(x,z,u))). T(x,y * (x \ R(x,z,u))) = x * K(x,y). K(x,R(x,y,z) * (x \ u)) = K(x,u). K(x,R(x,y,z) * u) = K(x,x * u). K(x,L(y,z \ u,z)) != w | K(x,L(y,u,z)) = w. K(x,L(y,z,z \ u)) != w | K(x,L(y,u,z \ u)) = w. K(x,L((y * K(z,u)) \ w,u,y \ T(u,z))) = K(x,u \ ((T(u,z) / y) * w)). x != K(y,L(z,u,w \ T(v5,v6))) | x = K(y,L(z,u,w \ v5)). K(x,y \ ((T(y,z) / u) * w)) = K(x,L((u * K(z,y)) \ w,y,u \ y)). K(x,L((y * K(z,u)) \ w,u,y \ u)) = K(x,u \ ((T(u,z) / y) * w)). x != K(y,z) * K(u,K(y,z)) | x = K(y,T(z,u)). K(x,T(y,z * a(u,w,v5))) = K(x,T(y,z)). K(x,T(y,a(z,u,w) * v5)) = K(x,T(y,v5)). K(x,T(y,(z * u) * w)) = K(x,T(y,z * (u * w))). K(x,L(T(y,a(z,u,w) * v5),v6,v7)) = K(L(x,v6,v7),T(y,v5)). x * K(x,T(y,z)) = T(x,T(y,a(u,w,v5) * z)). T(x,T(y,a(z,u,w) * v5)) = x * K(x,T(y,v5)). T(x,T(y,a(z,u,w) * v5)) = T(x,T(y,v5)). T(x,T(y,z * a(u,w,v5))) = T(x,T(y,z)). x != T(y,T(z \ u,u)) | x = T(y,u / z). T(x,T(y \ (a(z,u,w) * v5),v5)) = T(x,(a(z,u,w) * v5) / y). T(x,T(y,(z * u) * w)) = T(x,T(y,z * (u * w))). L(x,y * z,K(u,y)) = L(x,z,K(u,y)). L(x,y,K(z,u)) = L(x,u \ y,K(z,u)). L(x,y \ z,K(u,y)) = L(x,z,K(u,y)). L(x,(a(y,z,u) * w) * v5,K(v6,a(y,z,u) * v5)) = L(x,T(w,v5),K(v6,a(y,z,u) * v5)). x != K(y \ ((z \ 1) * u),z) | x = K(y \ (u * (z \ 1)),z). K(((x \ 1) \ y) \ z,L(x,y,x \ 1)) = K(y \ (z * (x \ 1)),x). x != K(y,L(L(z,u,w \ 1),u,w)) | x = K(y,z). K(x \ (y * z),L(u,x,y \ 1)) = K((y \ x) \ z,u). x != K(y \ (z * (u / z)),w) | x = K(y \ T(u,z),w). K(x \ (y * (z * (u / z))),w) = K((y \ x) \ T(u,z),L(w,x,y)). K((x \ y) \ T(z,u),L(w,y,x)) = K(y \ (x * (u * (z / u))),w). K(a(x \ 1,x,y) \ z,L(u,y,L(y,x,x \ 1))) = K(y \ (L(y,x,x \ 1) * z),u). K((K(x,T(y,z)) \ u) \ (z * x),L(w,u,K(x,T(y,z)))) = K(u \ (z * T(x,y)),w). T(x,K((y \ z) \ u,w) * v5) != v6 | T(x,K(z \ (y * u),w) * v5) = v6. T(x,K(y \ (z * u),w) * v5) = T(x,K(z * (y \ u),w) * v5). T(x,K(y * (z \ u),u) * w) != v5 | T(x,K(z \ y,u) * w) = v5. x \ (K(y,z) * (y \ z)) = (x \ (y \ z)) * K(y,z). T(x,(1 / y) * (K(z,u) * (z \ u))) = T(x,(y \ (z \ u)) * K(z,u)). x != T(y,z * (K(u,w) * (u \ v5))) | x = T(y,z * (T(u,w) \ v5)). T(x,(y \ (z \ u)) * K(z,u)) = T(x,(1 / y) * (T(z,u) \ u)). x != T(y,(1 / z) * u) | x = T(y,z \ u). T(x,(y \ (z \ u)) * K(z,u)) = T(x,y \ (T(z,u) \ u)). T(x,(y \ (z \ u)) * K(u,z)) = T(x,y \ (T(z,u) \ u)). x != T(y,T(z,(u * w) * v5)) | x = T(y,T(z,u * (v5 \ w))). T(x,T(y,z * (u * w))) = T(x,T(y,z * (w \ u))). T(x,T(y,z * (u \ w))) = T(x,T(y,z * (w * u))). T(x,T(y,(z \ u) * w)) = T(x,T(y,z * (w * u))). x != T(y,T(z,(u \ w) * v5)) | x = T(y,T(z,T((w / u) \ v5,K(u,w)))). T(x,T(y,z * (u * w))) = T(x,T(y,T((w / z) \ u,K(z,w)))). T(x,T(y,T((z / u) \ w,K(u,z)))) = T(x,T(y,u * (w * z))). T(x,T(y,(z / u) \ w)) = T(x,T(y,u * (w * z))). T(x,T(y,(z / u) * w)) = T(x,T(y,u * (w * z))). x != T(y,T(((z \ u) \ w) \ K(z \ u,z),(u / z) \ w)) | x = T(y,((z \ u) \ w) \ K(z \ u,z)). T(x,T(((y \ z) \ u) \ K(y \ z,y),y * (u * z))) = T(x,((y \ z) \ u) \ K(y \ z,y)). x != T(y,T(z \ T(u \ w,u),(w / u) * z)) | x = T(y,(K(u,u \ w) * z) \ (u \ w)). T(x,T(y \ T(z \ u,z),z * (y * u))) = T(x,(K(z,z \ u) * y) \ (z \ u)). x != T(y,T((z \ u) \ K(z,w),v5)) | x = T(y,T(u \ T(z,w),v5)). T(x,((y \ z) \ u) \ K(y \ z,y)) = T(x,T(u \ T(y \ z,y),y * (u * z))). T(x,T(y \ T(z \ u,z),z * (y * u))) = T(x,((z \ u) \ y) \ K(z \ u,z)). x != T(y,z \ K(u \ w,u)) | x = T(y,z \ K(w,u)). T(x,T(y \ T(z \ u,z),z * (y * u))) = T(x,((z \ u) \ y) \ K(u,z)). x != T(y,(z \ u) \ K(w,v5)) | x = T(y,(u \ z) * K(w,v5)). T(x,T(y \ T(z \ u,z),z * (y * u))) = T(x,(y \ (z \ u)) * K(u,z)). x != T(y,(z \ (u \ w)) * K(w,u)) | x = T(y,z \ (T(u,w) \ w)). T(x,T(y \ T(z \ u,z),z * (y * u))) = T(x,y \ (T(z,u) \ u)). x != T(y,T(z \ T(u \ w,u),u * (z * w))) | x = T(y,(K(u,u \ w) * z) \ (u \ w)). T(x,y \ (T(z,u) \ u)) = T(x,(K(z,z \ u) * y) \ (z \ u)). T(x,(K(y,y \ z) * u) \ (y \ z)) = T(x,u \ (T(y,z) \ z)). T(x,y \ T(z \ u,z)) = T(x,y \ (T(z,u) \ u)). T(x,y \ (z / u)) = T(x,y \ (T(u,z) \ z)). T(x,y \ (T(z,u) \ u)) = T(x,y \ (u / z)). T(x,y * (T(z,u) \ u)) = T(x,(1 / y) \ (u / z)). T(x,(1 / y) \ (z / u)) = T(x,y * (T(u,z) \ z)). T(x,y * (z / u)) = T(x,y * (T(u,z) \ z)). T(x,y * (T(z,u) \ u)) = T(x,y * (u / z)). T(x,y * (T(z,u) \ R(u,w,u))) = T(x,y * (R(u,w,u) / z)). T(x,y * (L(z,u,K(w,v5)) \ a(v5,u,w))) = T(x,y * (a(v5,u,w) / z)). x != T(y,z * (L(u,w,K(v5,v6)) \ v7)) | x = T(y,z * (u \ v7)). T(x,y * (a(z,u,w) / v5)) = T(x,y * (v5 \ a(z,u,w))). x != T(T(y,K(z,u)),z * (a(w,v5,v6) / u)) | x = T(y,(a(w,v5,v6) / u) * z). T(T(x,K(y,z)),y * (z \ a(u,w,v5))) = T(x,(a(u,w,v5) / z) * y). x != T(T(y,K(z,u)),z * (u \ a(w,v5,v6))) | x = T(y,(u \ a(w,v5,v6)) * z). T(x,(a(y,z,u) / w) * v5) = T(x,(w \ a(y,z,u)) * v5). T(x,(y \ a(z,u,z)) * w) != v5 | T(x,y \ w) = v5. T(x,K(y,(z * u) * w)) != v5 | T(x,K(y,z * (u * w))) = v5. T(x,K(y,z * a(u,w,v5))) != v6 | T(x,K(y,z)) = v6. T(x,K(y,z * (u \ w))) != v5 | T(x,K(y,z * (w * u))) = v5. T(x,K(y,z * (u * w))) = T(x,K(y,z * (u / w))). T(x,K(y,z * (u / w))) = T(x,K(y,z * (u * w))). x \ T(y * T(x,K(z,u * (w * v5))),K(z,u * (w / v5))) = T(y,K(u * (w / v5),z) * x). x \ T(y * T(x,K(z,u * (w * v5))),K(z,u * (w * v5))) = T(y,K(u * (w / v5),z) * x). T(x,K(y * (z * u),w) * v5) = T(x,K(y * (z / u),w) * v5). T(x,K(y * (z / u),w) * v5) = T(x,K(y * (z * u),w) * v5). x != T(y,K(z * (u / w),v5) * v6) | x = T(y,K(z * (w \ u),v5) * v6). T(x,K(y * (z * u),w) * v5) = T(x,K(y * (u \ z),w) * v5). T(x,K(y * (z \ u),w) * v5) = T(x,K(y * (u * z),w) * v5). T(x,K(y \ z,u) * w) = T(x,K(z * (u * y),u) * w). T(x,K(y * (z * u),z) * w) = T(x,K(u \ y,z) * w). x != T(y,K(z * (u \ w),w \ u) * v5) | x = T(y,K(w \ u,z) * v5). T(x,K(y * (z * u),z \ u) * w) = T(x,K(z \ u,y) * w). K(x,K(y * (z \ u),w) * (K(v5,K(v6,v7)) / (v8 \ 1))) = T(x,T(v9,v8)) \ T(T(x,K(y * (u * z),w) * v8),v9). x != T(y,K(z * (u * w),u) * v5) | x = T(y,K(z * w,u) * v5). T(x,K(y \ z,u) * w) = T(x,K(z * y,u) * w). x != T(y,K(z * u,w) * v5) | x = T(y,K(u * z,w) * v5). T(x,K(y \ z,u) * w) = T(x,K(y * z,u) * w). x != T(K(y,T(z,u \ w) \ v5),K(u \ w,(w \ u) * z) * (z \ y)) | x = ((z * K(z * (w \ u),u \ w)) \ y) \ (K(u \ w,(w \ u) * z) * (z \ T(y,v5 / (z * K(z * (w \ u),u \ w))))). T(K(x,T(y,z \ u) \ w),K(u * z,(u \ z) * y) * (y \ x)) = ((y * K(y * (u \ z),z \ u)) \ x) \ (K(z \ u,(u \ z) * y) * (y \ T(x,w / (y * K(y * (u \ z),z \ u))))). ((x * K(x * (y \ z),z \ y)) \ u) \ (K(z \ y,(y \ z) * x) * (x \ T(u,w / (x * K(x * (y \ z),z \ y))))) = T(K(u,T(x,z \ y) \ w),K(y * z,(y \ z) * x) * (x \ u)). x != T(y,K(z \ u,(u \ z) * w) * v5) | x = T(y,K(z \ u,w) * v5). T(x,K(y * z,(y \ z) * u) * w) = T(x,K(z \ y,u) * w). T(x,K(y,z \ u) * w) = T(x,K(z * u,T(y,v5)) * w). T(x,K(y * z,T(u,w)) * v5) = T(x,K(u,y \ z) * v5). x != T(y,K(z,u) * (u / w)) | x = T(y,T(u,z) / w). T(x,K(y * z,u) * (u / w)) = T(x,T(u,y \ z) / w). T(x,K(y \ z,u) * w) != v5 | T(x,K(z * y,u) * w) = v5. T(x,K(y,z * u) * w) = T(x,K(y,z \ u) * w). T(x,K(y,z \ u) * w) = T(x,K(y,z * u) * w). T(x,K(y,z * u) * (w * (z \ T(u,y)))) != v5 | T(x,w * T(z \ T(u,y),y)) = v5. T(x,T(y,z \ u) / w) = T(x,T(y,z * u) / w). T(x,(y \ z) \ u) = T(x,T(u,z * y) / (y \ z)). T(x,T(y,z * u) / (u \ z)) = T(x,(u \ z) \ y). T(x,T(y,z \ T(u,w)) / ((z \ u) \ K(u,w))) = T(x,((z \ u) \ K(u,w)) \ y). T(x,K(y,z) * (T(u,w \ T(z,y)) * (w \ z))) = T(x,((w \ z) \ K(z,y)) \ u). x != T(y,K(z,u) * (w * (v5 \ u))) | x = T(y,w * (v5 \ T(u,z))). T(x,((y \ z) \ K(z,u)) \ w) = T(x,T(w,y \ T(z,u)) * (y \ T(z,u))). T(x,T(y,z \ T(u,w)) * (z \ T(u,w))) = T(x,((z \ u) \ K(u,w)) \ y). T(x,(y \ T(z,u)) * w) = T(x,((y \ z) \ K(z,u)) \ w). T(x,((y \ z) \ K(z,u)) \ w) = T(x,(y \ T(z,u)) * w). T(x,K(y,z) * ((u \ z) * w)) = T(x,(u \ T(z,y)) * w). T(x,K(y,z) * ((u \ (z * y)) * w)) = T(x,(u \ T(z * y,y)) * w). T(x,K(y,z) * ((u \ (y * z)) * w)) = T(x,(u \ T(y * z,z)) * w). x != T(y,K(z,u) * ((w \ (u * z)) * v5)) | x = T(y,(w \ (z * u)) * v5). T(x,(y \ T(z * u,u)) * w) = T(x,(y \ (u * z)) * w). x != T(y,K(z,u) * ((w \ (z * u)) * v5)) | x = T(y,(w \ (T(z,u) * u)) * v5). T(x,(y \ T(z * u,u)) * w) = T(x,(y \ (T(z,u) * u)) * w). T(x,(y \ (T(z,u) * u)) * w) = T(x,(y \ T(z * u,u)) * w). T(x,y * (z \ (T(u,w) * w))) = T(T(x,K(y,z * (w * u))),(z \ T(u * w,w)) * y). T(T(x,K(y,z * (u * w))),(z \ T(w * u,u)) * y) = T(x,y * (z \ (T(w,u) * u))). x != T(y,(z \ T(u * w,w)) * v5) | x = T(y,(z \ (w * u)) * v5). T(x,y * (z \ (T(u,w) * w))) = T(T(x,K(y,z * (w * u))),(z \ (w * u)) * y). T(T(x,K(y,z * (u * w))),(z \ (u * w)) * y) = T(x,y * (z \ (T(w,u) * u))). T(x,y * (z \ (u * w))) = T(x,y * (z \ (T(w,u) * u))). T(x,y * (z \ (T(u,w) * w))) = T(x,y * (z \ (w * u))). T(x,y * T(a(z,u,w) \ T(v5,v6),v6)) = T(x,y * ((a(z,u,w) * v6) \ (v6 * v5))). T(x,y * ((a(z,u,w) * v5) \ (v5 * v6))) = T(x,y * T(a(z,u,w) \ T(v6,v5),v5)). T(x,y * ((a(z,u,w) * v5) \ v6)) = T(x,y * T(a(z,u,w) \ T(v5 \ v6,v5),v5)). T(x,y * T(a(z,u,w) \ T(v5 \ v6,v5),v5)) = T(x,y * ((a(z,u,w) * v5) \ v6)). x != T(y,K(z \ u,w) * v5) | x = T(y,K(u * z,w) * v5). T(x,K(y * (z * u),z \ u) * w) = T(x,K(u * z,y) * w). K(x * y,L(z,x,y)) != u | K(x * y,z) = u. K(x * (y * K(z,u)),L(w,x,y)) != v5 | K(x * (y * K(z,u)),w) = v5. T(x,K(y * z,(y \ z) * u) * w) = T(x,K(y * z,u) * w). x != T(K(y,T(z,u \ w) \ v5),K(w * u,(w \ u) * z) * (z \ y)) | x = ((z * K(z * (w \ u),u \ w)) \ y) \ (K(u \ w,(w \ u) * z) * (z \ T(y,v5 / (z * K(z * (w \ u),u \ w))))). T(K(x,T(y,z \ u) \ w),K(u * z,y) * (y \ x)) = ((y * K(y * (u \ z),z \ u)) \ x) \ (K(z \ u,(u \ z) * y) * (y \ T(x,w / (y * K(y * (u \ z),z \ u))))). ((x * K(x * (y \ z),z \ y)) \ u) \ (K(z \ y,(y \ z) * x) * (x \ T(u,w / (x * K(x * (y \ z),z \ y))))) = T(K(u,T(x,z \ y) \ w),K(y * z,x) * (x \ u)). ((x * K(x * (y \ z),z \ y)) \ u) \ (K(z \ y,(y \ z) * x) * (x \ T(u,w / (x * K(x * (y \ z),z \ y))))) = T(K(u,T(x,z \ y) \ w),T(x,y * z) \ u). ((x * K(x * (y \ z),z \ y)) \ u) \ (K(z \ y,(y \ z) * x) * (x \ T(u,w / (x * K(x * (y \ z),z \ y))))) = K(u,T(T(x,z \ y) \ w,T(x,y * z) \ u)). x != K(y,T(z,u \ y)) | x = K(y,T(z,u)). ((x * K(x * (y \ z),z \ y)) \ u) \ (K(z \ y,(y \ z) * x) * (x \ T(u,w / (x * K(x * (y \ z),z \ y))))) = K(u,T(T(x,z \ y) \ w,T(x,y * z))). x != K(y,T(z,T(u,w))) | x = K(y,T(z,u)). ((x * K(x * (y \ z),z \ y)) \ u) \ (K(z \ y,(y \ z) * x) * (x \ T(u,w / (x * K(x * (y \ z),z \ y))))) = K(u,T(T(x,z \ y) \ w,x)). x != K(y,T(T(z,u) \ w,z)) | x = K(y,w / T(z,u)). ((x * K(x * (y \ z),z \ y)) \ u) \ (K(z \ y,(y \ z) * x) * (x \ T(u,w / (x * K(x * (y \ z),z \ y))))) = K(u,w / T(x,z \ y)). (K(x \ y,(y \ x) * z) * (z \ u)) \ (K(x \ y,(y \ x) * z) * (z \ T(u,w / (z * K(z * (y \ x),x \ y))))) = K(u,w / T(z,x \ y)). (K(x \ y,(y \ x) * z) * (z \ u)) \ (K(x \ y,(y \ x) * z) * (z \ T(u,K(z * (y \ x),x \ y) * (w / z)))) = K(u,w / T(z,x \ y)). (K(x \ y,(y \ x) * z) * (z \ u)) \ (K(x \ y,(y \ x) * z) * (z \ T(u,K(z * (x * y),x \ y) * (w / z)))) = K(u,w / T(z,x \ y)). (K(x \ y,(y \ x) * z) * (z \ u)) \ (K(x \ y,(y \ x) * z) * (z \ T(u,K(y * x,z) * (w / z)))) = K(u,w / T(z,x \ y)). (K(x \ y,(y \ x) * z) * (z \ u)) \ (K(x \ y,(y \ x) * z) * (z \ T(u,w / T(z,y * x)))) = K(u,w / T(z,x \ y)). K(x,L(y / T(z,u * w),z \ x,K(w \ u,(u \ w) * z))) = 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,u \ w)) = K(x,y / T(z,w * 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,u * w)) = v5. K(x,y / T(z \ 1,u * w)) = K(x,y * T(z,u \ w)). x != K(y,z / T(u \ 1,w)) | x = K(y,z * T(u,w)). K(x,y * T(z,u \ w)) = K(x,y * T(z,u * w)). x != K(y,z * T(u,w * v5)) | x = K(y,z * T(u,v5 * w)). K(x,y * T(z,u \ w)) = K(x,y * T(z,w * u)). x != K(y,z * T(a(u,w,v5) \ v6,v6 \ K(v7,v8))) | x = K(y,z / (a(u,w,v5) * (v6 \ 1))). K(x,y * T(a(z,u,w) \ v5,v5 * K(v6,v7))) = K(x,y / (a(z,u,w) * (v5 \ 1))). x != K(y,z * T(1 / u,(w * (v5 \ 1)) \ v6)) | x = K(y,z / T(u,(w * (1 / v5)) \ v6)). K(x,y * T(1 / z,(u * (w \ 1)) * v5)) = K(x,y / T(z,(u * (1 / w)) \ v5)). x != K(y,z * T(u,(w \ v5) \ v6)) | x = K(y,z * T(u,v5 \ (w * v6))). 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,z * T(u,(w * v5) \ v6)) | x = K(y,z * T(u,v5 \ (w \ v6))). 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,y * K(z,u \ w)) = K(x,(y / z) * T(z,u * w)). K(x,(y / z) * T(z,u * w)) = K(x,y * K(z,u \ w)). K(x,y * ((z \ 1) * T(z,u \ w))) = K(x,(y / z) * T(1 / (1 / z),u * w)). K(x,(y / z) * T(1 / (1 / z),u * w)) = K(x,y * ((z \ 1) * T(z,u \ w))). K(x,K(y,z)) * K(x,z * T(y,u * w)) = K(x,T(y,u \ w) * z). K(x,y * T(z,u \ w)) != v5 | K(x,y * T(z,w * u)) = v5. x != K(y,z * ((u \ w) * T(u,v5))) | x = K(y,z * T(K(v5,u) * w,u)). K(x,(y / z) * T(1 / (1 / z),u * w)) = K(x,y * T(K(u \ w,z) * 1,z)). K(x,(y / z) * T(1 / (1 / z),u * w)) = K(x,y * T(K(u \ w,z),z)). K(x,(y / z) * T(1 / (1 / z),u * w)) = K(x,y * K(u \ w,z)). K(x,y * ((z \ 1) * T(z,u * w))) = K(x,y * K(u \ w,z)). K(x,y * K(z \ u,w)) = K(x,y * T(K(z * u,w) * 1,w)). K(x,y * T(K(z * u,w) * 1,w)) = K(x,y * K(z \ u,w)). K(x,y * T(K(z * u,w),w)) = K(x,y * K(z \ u,w)). K(x,y * K(z * u,w)) = K(x,y * K(z \ u,w)). K(x,y * K(z \ u,w)) = K(x,y * K(z * u,w)). x != K(y,((z / u) \ w) * K(v5,u)) | x = K(y,(z / T(u,T(v5,v6))) \ w). K(x,((y / z) \ u) * K(w * v5,z)) = K(x,(y / T(z,T(w \ v5,v6))) \ u). K(x,(y / T(z,T(u \ w,v5))) \ v6) = K(x,((y / z) \ v6) * K(u * w,z)). K(x,y * K(z * (u * w),w * u)) != v5 | K(x,K(w * u,z) * y) = v5. K(x,y * K(z,u * w)) = K(x,y * K(z,u \ w)). K(x,y * K(z,u \ w)) = K(x,y * K(z,u * w)). K(x,(y / T(z,u \ w)) * K(v5,K(v6,v7))) = K(x,(y / z) * K(z,u * w)). x != K(y,(z * u) * K(w,v5)) | x = K(y,z * (u * K(w * K(v6,v7),T(v5,v8)))). K(x,(y * z) * K(u,w * v5)) = K(x,y * (z * K(u * K(v6,v7),T(w \ v5,v8)))). K(x,y * (z * K(u * K(w,v5),T(v6 \ v7,v8)))) = K(x,(y * z) * K(u,v6 * v7)). x != K(y,z * K(u,(w * v5) \ v6)) | x = K(y,z * K(u,v5 \ (w \ v6))). K(x,y * K(z,(u * w) * v5)) = K(x,y * K(z,w \ (u \ v5))). K(x,y * K(z,u \ (w \ v5))) = K(x,y * K(z,(w * u) * v5)). K(x,T(y,z * u) * w) = K(x,T(y,z \ u) * w). K(x,T(y,z \ u) * w) = K(x,T(y,z * u) * w). K(x,T(y,z / u) * w) = K(x,T(y,u * z) * w). x / (K(y,T(z,u * w) * v5) * x) = K(T(z,u \ w) * v5,y). K(T(x,y * z) * u,w) = K(T(x,y \ z) * u,w). K(T(x,y \ z) * u,w) = K(T(x,y * z) * u,w). x != K(T((y \ z) * u,z \ y) * w,v5) | x = K((u * (y \ z)) * w,v5). K(T((x \ y) * z,y * x) * u,w) = K((z * (x \ y)) * u,w). K(K((x \ y) * z,y * x) * u,w) = K((z * (x \ y)) * (((x \ y) * z) \ u),w). K((x * (y \ z)) * (((y \ z) * x) \ u),w) = K(K((y \ z) * x,z * y) * u,w). K(K(x,y \ z) * u,w) = K(K((y \ z) * x,z * y) * u,w). K(K((x \ y) * z,y * x) * u,w) = K(K(z,x \ y) * u,w). 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 * K(z,(u \ w) * v5)) = K(x,(y / z) * T(z,w * (u * v5))). K(x,(y / z) * T(z,u * (w * v5))) = K(x,y * K(z,(w \ u) * v5)). K(x,y * ((z \ 1) * T(z,(u \ w) * v5))) = K(x,(y / z) * T(1 / (1 / z),w * (u * v5))). K(x,(y / z) * T(1 / (1 / z),u * (w * v5))) = K(x,y * ((z \ 1) * T(z,(w \ u) * v5))). K(x,(y / z) * T(1 / (1 / z),u * (w * v5))) = K(x,y * T(K((w \ u) * v5,z) * 1,z)). K(x,(y / z) * T(1 / (1 / z),u * (w * v5))) = K(x,y * T(K((w \ u) * v5,z),z)). K(x,(y / z) * T(1 / (1 / z),u * (w * v5))) = K(x,y * K((w \ u) * v5,z)). K(x,y * ((z \ 1) * T(z,u * (w * v5)))) = K(x,y * K((w \ u) * v5,z)). K(x,y * K((z \ u) * w,v5)) = K(x,y * T(K(u * (z * w),v5) * 1,v5)). K(x,y * T(K(z * (u * w),v5) * 1,v5)) = K(x,y * K((u \ z) * w,v5)). K(x,y * T(K(z * (u * w),v5),v5)) = K(x,y * K((u \ z) * w,v5)). K(x,y * K(z * (u * w),v5)) = K(x,y * K((u \ z) * w,v5)). K(x,y * K((z \ u) * w,v5)) = K(x,y * K(u * (z * w),v5)). K(x * ((y \ z) * K(u,z)),y / x) = K(x * (y \ z),T(R(y / x,x,y \ z),u)). K(x * (y \ z),T(R(y / x,x,y \ z),u)) = K(x * ((y \ z) * K(u,z)),y / x). x != K(y * ((z \ u) * K(w,u)),v5) | x = K(y * (z \ T(u,w)),v5). K(x * (y \ z),T(R(y / x,x,y \ z),u)) = K(x * (y \ T(z,u)),y / x). K(x * (y \ z),R(T(y / x,u),x,y \ z)) = K(x * (y \ T(z,u)),y / x). K(x * (y \ z),L(T(y / x,u),x,y \ z)) = K(x * (y \ T(z,u)),y / x). K(x * (y \ T(z,u)),y / x) != w | K(x * (y \ z),T(y / x,u)) = w. K(x * (y \ z),T(y / x,u)) = K(y \ (z * x),T(x \ y,u)). K(x \ (y * z),T(z \ x,u)) = K(z * (x \ y),T(x / z,u)). K(x \ (y * z),T(x / y,u)) = K(y * (x \ z),T(x / y,u)). x != K(y \ (z * u),T(y / z,u * y)) | x = K(y \ (z * u),z \ y). K(x * (y \ z),T(y / x,z * y)) = K(y \ (x * z),x \ y). K((x \ y) * z,x / z) = K(x \ (z * y),z \ x). K(x \ (y * z),y \ x) = K((x \ z) * y,x / y). x * K((y \ x) * z,y / z) = ((z \ y) \ x) * (z \ y). K(x,y * K((z \ u) * w,z / w)) = K(x,K(w \ z,u) * y). L((K((x \ y) * z,x / z) * 1) \ 1,K(z \ x,x \ (z * y)) \ 1,(z \ x) * (y / (z \ x))) = a(y,K(z \ x,x \ (z * y)),K(z \ x,x \ (z * y)) \ 1) \ K(z \ x,x \ (z * y)). K(x,y * K((z \ u) * w,w \ z)) = K(x,K(w \ z,u) * y). x != K(y,z * K((u \ w) * v5,v6)) | x = K(y,z * K(w * (u * v5),v6)). K(x,K(y \ z,u) * w) = K(x,w * K(u * (z * y),y \ z)). K(x,y * K(z * (u * w),w \ u)) = K(x,K(w \ u,z) * y). x != K(y,z * K(u,w \ v5)) | x = K(y,z * K(u,w * v5)). K(x,K(y \ z,u) * w) = K(x,w * K(u * (z * y),y * z)). K(x,y * K(z * (u * w),w * u)) = K(x,K(w \ u,z) * y). 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) != v5 | K(x,K(y * z,u) * w) = v5. x != K(y,K(z * u,w) * v5) | x = K(y,K(u * z,w) * v5). K(x,K(y \ z,u) * w) = K(x,K(z * y,u) * w). x != K(y,K(z * u,w) * v5) | x = K(y,K(w,u * z) * v5). K(x,K(y \ z,u) * w) = K(x,K(u,z * y) * w). x / (K(y,K(z * u,w) * v5) * x) = K(K(z \ u,w) * v5,y). K(K(x * y,z) * u,w) = K(K(x \ y,z) * u,w). K(K(x \ y,z) * u,w) = K(K(x * y,z) * u,w). K(K(x \ y,z) * u,w) != v5 | K(K(x * y,z) * u,w) = v5. K(K((x \ y) * z,u) * w,v5) = K(K(y \ (x * z),u) * w,v5). K(K(x \ (y * z),u) * w,v5) = K(K((y \ x) * z,u) * w,v5). K(K(x * (y * z),u) * w,v5) = K(K((y \ x) * z,u) * w,v5). K(K((x \ y) * z,u) * w,v5) = K(K(y * (x * z),u) * w,v5). x != K(K((y \ z) * u,z * y) * w,v5) | x = K(K(u,y \ z) * w,v5). K(K(x * (y * z),x * y) * u,w) = K(K(z,y \ x) * u,w). K(K(x,y * z) * u,w) = K(K(x,z \ y) * u,w). K(K(x,y \ z) * u,w) = K(K(x,z * y) * u,w). K(K(x,y \ z) * u,w) != v5 | K(K(x,z * y) * u,w) = v5. K(K(x,y * z) * (u * (w \ 1)),v5) = K(u * (w \ K(x,z \ y)),v5). K(K(x,y * (z * u)) * w,v5) = K(K(x,u \ (z \ y)) * w,v5). K(K(x,y \ (z \ u)) * w,v5) = K(K(x,u * (z * y)) * w,v5). K(K(x,(y \ z) * u) * w,v5) = K(K(x,z * (y * u)) * w,v5). (x * y) / (K(K(z,u * (w * v5)) * v6,x) * y) = T(x,K(z,(w \ u) * v5) * v6). T(x,K(y,z * (u * w)) * v5) = T(x,K(y,(u \ z) * w) * v5). T(x,K(y,(z \ u) * w) * v5) = T(x,K(y,u * (z * w)) * v5). x != K(y * z,T(u,z)) | x = K(z * y,u). K(K(x,y \ z) * u,T(w,u)) = K(u * K(x,z * y),w). (x * y) / (K(K(z,u * w) * v5,x) * y) = T(x,K(z,w \ u) * v5). T(x,K(y,z * u) * w) = T(x,K(y,u \ z) * w). T(x,K(y,z \ u) * w) = T(x,K(y,u * z) * w). T(x,K(y,(z \ u) * w) * v5) != v6 | T(x,K(y,z \ (u / w)) * v5) = v6. T(x,K(y,z \ (u / w)) * v5) = T(x,K(y,u * (z * w)) * v5). x != K(K(y,z) * (u * (w \ 1)),v5) | x = K(u * (w \ K(y,z)),v5). K(x * (y \ K(z,u \ w)),v5) = K(x * (y \ K(z,w * u)),v5). K(x * (K(y,z \ u) / (1 / w)),v5) = K(x * ((K(K(y,z \ u) * w,w \ 1) / w) \ K(y,u * z)),v5). K(x * ((K(K(y,z \ u) * w,w \ 1) / w) \ K(y,u * z)),v5) = K(x * (K(y,z \ u) / (1 / w)),v5). x != K(y * (z / (1 / u)),w) | x = K(y * (z / (u \ 1)),w). K(x * ((K(K(y,z \ u) * w,w \ 1) / w) \ K(y,u * z)),v5) = K(x * (K(y,z \ u) / (w \ 1)),v5). K(x * ((K(K(y,z \ u) * w,w \ 1) / w) \ K(y,u * z)),v5) = K(x * (K(y,z \ u) * w),v5). K(x * ((K(y,y \ K(z,u \ w)) / y) \ K(z,w * u)),v5) = K(x * (K(z,u \ w) * y),v5). K(x * K(y,z \ u),w) = K(x * K(y,u * z),w). (x * y) / (K(z * K(u,w * v5),x) * y) = T(x,z * K(u,v5 \ w)). T(x,y * K(z,u * w)) = T(x,y * K(z,w \ u)). T(x,y * K(z,u \ w)) = T(x,y * K(z,w * u)). T(x,y * (z * (u \ w))) = T(x,(y * ((u \ w) * z)) * K(z,w * u)). T(x,(y * ((z \ u) * w)) * K(w,u * z)) = T(x,y * (w * (z \ u))). T(x,y * (((z \ u) * w) * K(w,u * z))) = T(x,y * (w * (z \ u))). T(x,y * ((z \ u) * T(w,u * z))) = T(x,y * (w * (z \ u))). T(T(x,y),K(y,z * (u * (w \ v5)))) = T(x,T(y,z * ((w \ v5) * T(u,v5 * w)))). L(x,y,(z * K(K(u * w,u) * (v5 \ z),v5)) * K(w,u)) = L(x,y,T(z * K(u \ w,u),v5)). L(x,y,(z * K(K(u,w) * (v5 \ z),v5)) * K(w,u)) = L(x,y,T(z * K(u \ w,u),v5)). L(x,y,(z \ (u * K(w,v5))) * z) = L(x,y,T(u * K(v5 \ w,v5),z)). L(x,y,T(z * K(u \ w,u),v5)) = L(x,y,(v5 \ (z * K(w,u))) * v5). L(x,y,T(z * K(u \ w,u),v5)) = L(x,y,T(z * K(w,u),v5)). x != L(y,z,T(u * K(w \ v5,w),v6)) | x = L(y,z,(K(w \ v5,w) \ ((v6 \ (K(w \ v5,w) * u)) * v6)) * K(v5,w)). L(x,y,T(z * K(u,w),v5)) = L(x,y,(K(w \ u,w) \ ((v5 \ (K(w \ u,w) * z)) * v5)) * K(u,w)). L(x,y,(K(z \ u,z) \ ((w \ (K(z \ u,z) * v5)) * w)) * K(u,z)) = L(x,y,T(v5 * K(u,z),w)). L(x,y,(K(z,z \ u) * ((w \ (K(z \ u,z) * v5)) * w)) * K(u,z)) = L(x,y,T(v5 * K(u,z),w)). L(x,y,K(z,z \ u) * (((w \ (K(z \ u,z) * v5)) * w) * K(u,z))) = L(x,y,T(v5 * K(u,z),w)). K(x,K(y,z \ u) * w) = K(x,K(y,u * z) * w). x != K(y,K(z,u) * w) | x = K(y,w * K(z,z * u)). K(x,K(y,z \ u) * w) = K(x,w * K(y,y * (u * z))). K(x,y * K(z,z * (u * w))) = K(x,K(z,w \ u) * y). 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) | x = K(y,K(z * u,w) * v5). K(x,K((y \ z) * u,w) * v5) = K(x,K((y * u) * z,w) * v5). K(x,y * K(z,u * (w * v5))) = K(x,y * K(z,(w \ u) * v5)). K(x,y * K(z,(u \ w) * v5)) = K(x,y * K(z,w * (u * v5))). x != K(y,z * K(u,w)) | x = K(y,K(w,u) * z). K(x,y * K(z,(u \ w) * v5)) = K(x,K(w * (u * v5),z) * y). K(x,K(y * (z * u),w) * v5) = K(x,v5 * K(w,(z \ y) * u)). K(x,K((y * z) * (y * u),w) * v5) = K(x,v5 * K(w,z * u)). K(x,y * K(z,(u * w) * v5)) = K(x,y * K(z,w * (u \ v5))). K(x,y * (z * K(u * K(w,v5),T(v6 \ v7,v8)))) = K(x,y * (z * K(u,v6 * v7))). K(x,y * (z * K(u,w \ v5))) = K(x,y * (z * K(u,w * v5))). x != K(y,z * ((u / w) * K(w \ 1,u))) | x = K(y,z * (w \ u)). K(x,y * (((z \ u) / w) * K(w \ 1,z * u))) = K(x,y * (w \ (z \ u))). K(x,y * (z * K(u,w \ 1))) = K(x,y * (z * K(u,w))). K(x,y * (z \ T(u,w \ v5))) = K(x,y * ((z \ u) * K(u,w * v5))). K(x,y * ((z \ u) * K(u,w * v5))) = K(x,y * (z \ T(u,w \ v5))). K(x,y * (z \ T(u,w * v5))) = K(x,y * (z \ T(u,w \ v5))). K(x,y * (z \ T(u,w \ v5))) = K(x,y * (z \ T(u,w * v5))). K(x,y * (((z \ u) / w) * K(w,z * u))) = K(x,y * (w \ (z \ u))). K(x,y * ((z \ u) / T(w,z * u))) = K(x,y * (w \ (z \ u))). x != K(y,z * K(u,(w * v5) * v6)) | x = K(y,z * K(u,v5 * (w \ v6))). K(x,(y / T(z,(u * w) \ v5)) * K(v6,K(v7,v8))) = K(x,(y / z) * K(z,w * (u \ v5))). K(x,(y / T(z,(u * (w \ 1)) \ v5)) * K(v6,K(v7,v8))) = K(x,(y / z) * K(z,w \ (u \ v5))). K(x,(y / T(z,(u * (w \ 1)) \ v5)) * K(v6,K(v7,v8))) = K(x,(y / z) * K(z,w * (u \ v5))). K(x,(y / z) * K(z,u * (w \ v5))) != v6 | K(x,(y / T(z,(w * (u \ 1)) \ v5)) * K(v7,K(v8,v9))) = v6. K(x,y * T(a(z,u,w) \ v5,v5)) = K(x,y / (a(z,u,w) * (v5 \ 1))). K(x,y / (a(z,u,w) * (v5 \ 1))) = K(x,y * T(a(z,u,w) \ v5,v5)). x != K(y,z * T(u \ w,w)) | x = K(y,z * (w / u)). K(x,y / (a(z,u,w) * (v5 \ 1))) = K(x,y * (v5 / a(z,u,w))). x != K(y,z * (u / a(w,v5,v6))) | x = K(y,z * (a(w,v5,v6) \ u)). K(x,y / (a(z,u,w) * (v5 \ 1))) = K(x,y * (a(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)) != v6 | K(x,y * T(z,w * (u \ v5))) = v6. K(x,y * T(1 / z,(u \ 1) * (w \ v5))) = K(x,y / T(z,(w * (1 / u)) \ v5)). K(x,y * T(1 / z,u \ (w \ v5))) = K(x,y / T(z,(w * (1 / u)) \ v5)). K(x,y / T(z,(u * (1 / w)) \ v5)) = K(x,y * T(1 / z,w \ (u \ v5))). K(x,y / T(z,(u * (1 / w)) \ v5)) = K(x,y * T(1 / z,w * (u \ v5))). x != K(y,z * T(1 / u,w)) | x = K(y,z / T(u,w)). K(x,y / T(z,(u * (1 / w)) \ v5)) = K(x,y / T(z,w * (u \ v5))). K(x,y / T(z,(u * (w \ 1)) \ v5)) = K(x,y / T(z,w * (u \ v5))). K(x,y / T(z,u * (w * (v5 \ 1)))) = K(x,y / T(z,v5 * (w \ u))). K(x,y / T(z,u \ 1)) = K(x,y / T(z,u)). L(K((x \ y) * z,x / z) \ 1,K(z \ x,x \ (z * y)) \ 1,(z \ x) * (y / (z \ x))) = a(y,K(z \ x,x \ (z * y)),K(z \ x,x \ (z * y)) \ 1) \ K(z \ x,x \ (z * y)). L(K(x / y,(x \ z) * y) * 1,K(y \ x,x \ (y * z)) \ 1,(y \ x) * (z / (y \ x))) = a(z,K(y \ x,x \ (y * z)),K(y \ x,x \ (y * z)) \ 1) \ K(y \ x,x \ (y * z)). L(K(x \ y,x * (y \ z)) * 1,K(x \ y,y \ (x * z)) \ 1,(x \ y) * (z / (x \ y))) = a(z,K(x \ y,y \ (x * z)),K(x \ y,y \ (x * z)) \ 1) \ K(x \ y,y \ (x * z)). L(K(x \ y,x * (y \ z)),K(x \ y,y \ (x * z)) \ 1,(x \ y) * (z / (x \ y))) = a(z,K(x \ y,y \ (x * z)),K(x \ y,y \ (x * z)) \ 1) \ K(x \ y,y \ (x * z)). a(x,K(y \ z,z \ (y * x)),K(y \ z,z \ (y * x)) \ 1) \ K(y \ z,z \ (y * x)) = L(K(y \ z,y * (z \ x)),K(y \ z,z \ (y * x)) \ 1,(y \ z) * (x / (y \ z))). a(x,K(y \ z,z \ (y * x)),K(y \ z,z \ (y * x)) \ 1) \ K(y \ z,z \ (y * x)) = L(K(y \ z,y * (z \ x)),K(z \ (y * x),y \ z) * 1,(y \ z) * (x / (y \ z))). a(x,K(y \ z,z \ (y * x)),K(y \ z,z \ (y * x)) \ 1) \ K(y \ z,z \ (y * x)) = L(K(y \ z,y * (z \ x)),K((z \ x) * y,z / y) * 1,(y \ z) * (x / (y \ z))). a(x,K(y \ z,z \ (y * x)),K(y \ z,z \ (y * x)) \ 1) \ K(y \ z,z \ (y * x)) = L(K(y \ z,y * (z \ x)),K((z \ x) * y,z / y),(y \ z) * (x / (y \ z))). x != L(K(y,z),K(u,w),v5) | x = K(y,z). a(x,K(y \ z,z \ (y * x)),K(y \ z,z \ (y * x)) \ 1) \ K(y \ z,z \ (y * x)) = K(y \ z,y * (z \ x)). a(x,K(y \ z,z \ (y * x)),K(z \ (y * x),y \ z) * 1) \ K(y \ z,z \ (y * x)) = K(y \ z,y * (z \ x)). a(x,K(y \ z,z \ (y * x)),K((z \ x) * y,z / y) * 1) \ K(y \ z,z \ (y * x)) = K(y \ z,y * (z \ x)). a(x,K(y \ z,z \ (y * x)),K((z \ x) * y,z / y)) \ K(y \ z,z \ (y * x)) = K(y \ z,y * (z \ x)). 1 \ K(x \ y,y \ (x * z)) = K(x \ y,x * (y \ z)). K(x \ y,y \ (x * z)) = K(x \ y,x * (y \ z)). x * K(y \ z,y * (z \ x)) = (y \ z) * (x / (y \ z)). x * K((y \ 1) \ z,y \ (z \ x)) = ((y \ 1) \ z) * (x / ((y \ 1) \ z)). ((x \ 1) \ y) * (z / ((x \ 1) \ y)) = z * K((x \ 1) \ y,x \ (y \ z)). ((x \ 1) \ y) * (z / ((x \ 1) \ y)) = z * K(x * y,x \ (y \ z)). x != y * K(z * u,z \ (u \ y)) | x = (z * u) * (y / (z * u)). ((x \ 1) \ y) * (z / ((x \ 1) \ y)) = (x * y) * (z / (x * y)). ((x \ 1) \ y) * (z / ((x \ 1) \ y)) != u | (x * y) * (z / (x * y)) = u. (((x \ (x / y)) \ 1) \ x) * (z / (((x \ (x / y)) \ 1) \ x)) = ((x \ (x / y)) * x) * (z / ((x / y) * K(y \ 1,x))). ((x \ (x / y)) * x) * (z / ((x \ (x / y)) * x)) = ((x \ (x / y)) * x) * (z / ((x / y) * K(y \ 1,x))). x != T(y,T(z,u)) \ T(T(y,K(w,v5) * u),z) | x = K(y,K(w,v5) * u). K(x,K(y * (z \ u),w) * (K(v5,K(v6,v7)) / (v8 \ 1))) = K(x,K(y * (u * z),w) * v8). K(x,K(y * (z \ u),w) * v5) = K(x,K(y * (u * z),w) * v5). x * K(y * (z \ x),y \ z) = ((y \ z) \ x) * (y \ z). x \ ((((y \ z) \ z) \ x) * T(y,y \ z)) = K((y \ z) * (z \ x),(y \ z) \ z). K((x \ y) * (y \ z),(x \ y) \ y) = z \ ((((x \ y) \ y) \ z) * T(x,x \ y)). x != y \ ((((z \ u) \ u) \ y) * T(z,z \ u)) | x = K(z \ y,T(z,u)). K((x \ y) * (y \ z),(x \ y) \ y) = K(x \ z,T(x,y)). K((x \ y) * (y \ z),T(x,y)) = K(x \ z,T(x,y)). K((x \ y) * (z \ x),z) = K(z \ y,T(z,x)). x != K(y * ((z * y) \ u),z * y) | x = K(z \ u,z * y). K((x * (y \ z)) \ z,T(x * (y \ z),y)) = K(x \ y,x * (y \ z)). x != K((y * z) \ u,T(y * z,w)) | x = K(y \ (z \ u),T(y * z,w)). K(x \ y,x * (y \ z)) = K(x \ ((y \ z) \ z),T(x * (y \ z),y)). K(x \ ((y \ z) \ z),T(x * (y \ z),y)) = K(x \ y,x * (y \ z)). x != K(y \ ((z \ u) \ u),w) | x = K(y \ T(z,u),w). K(x \ y,x * (y \ z)) = K(x \ T(y,z),T(x * (y \ z),y)). K(x \ T(y,z),T(x * (y \ z),y)) = K(x \ y,x * (y \ z)). K(T(x,y) / z,z * (x \ y)) = K(z \ x,z * (x \ y)). K(x \ T(y,z),(y \ z) * x) = K(x \ y,x * (y \ z)). x != K(y \ T(z,T(u,w)),v5) | x = K(y \ T(z,u),v5). K(x \ y,x * (y \ T(z,u))) = K(x \ T(y,z),(y \ T(z,u)) * x). K(x \ T(y,z),(y \ T(z,u)) * x) = K(x \ y,x * (y \ T(z,u))). x != K(y,(z \ T(u,z)) * w) | x = K(y,(u / z) * w). K(x \ y,x * (y \ T(z,y))) = K(x \ T(y,z),(z / y) * x). K(x \ T(y,z),(z / y) * x) = K(x \ y,x * (y \ T(z,y))). x != K(y,z * (u \ T(w,u))) | x = K(y,z * (w / u)). K(x \ T(y,z),(z / y) * x) = K(x \ y,x * (z / y)). K(x,L(T(y,(z * u) * w),v5,v6)) = K(L(x,v5,v6),T(y,z * (u * w))). K(L(x,y,z),T(u,w * (v5 * v6))) = K(x,L(T(u,(w * v5) * v6),y,z)). K(x,T(y,z * (u * (w \ 1)))) != v5 | K(x,T(y,w \ (z * u))) = v5. K(x,T(y,z * (u * (w \ K(v5,v6))))) != v7 | K(x,T(y,w \ (z * u))) = v7. K(x,L(T(y,z * (u * w)),v5,v6)) = K(x,L(T(y,(z * u) * w),v5,v6)). K(x,L(T(y,(z * u) * w),v5,v6)) = K(x,L(T(y,z * (u * w)),v5,v6)). K(x,L(T(y,(z * u) * w),v5,v6)) != v7 | K(x,L(T(y,z * (u * w)),v5,v6)) = v7. K(x,L(T(y,(z * (u \ 1)) * w),v5,v6)) = K(x,L(T(y,(u \ K(z,u \ 1)) * (z * w)),v5,v6)). K(x,L(T(y,(z \ K(u,z \ 1)) * (u * w)),v5,v6)) = K(x,L(T(y,(u * (z \ 1)) * w),v5,v6)). K(x,L(T(y,((z * u) * w) * v5),v6,v7)) = K(x,L(T(y,a(z,u,w) * ((z * (u * w)) * v5)),v6,v7)). K(x,L(T(y,a(z,u,w) * ((z * (u * w)) * v5)),v6,v7)) = K(x,L(T(y,((z * u) * w) * v5),v6,v7)). x != K(y,L(T(z,(u * w) * v5),v6,v7)) | x = K(y,L(T(z,u * (w * v5)),v6,v7)). K(x,L(T(y,a(z,u,w) * ((z * (u * w)) * v5)),v6,v7)) = K(x,L(T(y,(z * u) * (w * v5)),v6,v7)). K(x,L(T(y,a(z,u,w) * ((z * (u * w)) * v5)),v6,v7)) = K(x,L(T(y,z * (u * (w * v5))),v6,v7)). K(x,L(T(y,(z \ K(u,z \ 1)) * (u * w)),v5,v6)) = K(x,L(T(y,u * ((z \ 1) * w)),v5,v6)). K(x,L(T(y,a(z,u,w) * v5),v6,v7)) != v8 | K(x,L(T(y,v5),v6,v7)) = v8. K(x,L(T(y,(z * (u * w)) * v5),v6,v7)) = K(x,L(T(y,z * (u * (w * v5))),v6,v7)). K(x,L(T(y,z * ((u * w) * v5)),v6,v7)) = K(x,L(T(y,z * (u * (w * v5))),v6,v7)). x != K(y,L(T(z,u * (((w \ v5) * w) * v6)),v7,v8)) | x = K(y,L(T(z,u * (v5 * v6)),v7,v8)). K(x,L(T(y,z * ((u \ w) * (u * v5))),v6,v7)) = K(x,L(T(y,z * (w * v5)),v6,v7)). K(x,L(T(y,z * ((u \ w) * v5)),v6,v7)) = K(x,L(T(y,z * (w * (u \ v5))),v6,v7)). x != K(y,L(T(z,u * ((w \ 1) * v5)),v6,v7)) | x = K(y,L(T(z,(w \ K(u,w \ 1)) * (u * v5)),v6,v7)). K(x,L(T(y,z * (1 * (u \ w))),v5,v6)) = K(x,L(T(y,(u \ K(z,u \ 1)) * (z * w)),v5,v6)). K(x,L(T(y,(z \ K(u,z \ 1)) * (u * w)),v5,v6)) = K(x,L(T(y,u * (1 * (z \ w))),v5,v6)). K(x,L(T(y,(z \ K(u,z \ 1)) * (u * w)),v5,v6)) = K(x,L(T(y,u * (z \ w)),v5,v6)). K(x,L(T(y,K(z,u \ 1) * (u \ (z * w))),v5,v6)) = K(x,L(T(y,z * (u \ w)),v5,v6)). x != K(y,L(T(z,K(u,w) * v5),v6,v7)) | x = K(y,L(T(z,v5),v6,v7)). K(x,L(T(y,z * (u \ w)),v5,v6)) = K(x,L(T(y,u \ (z * w)),v5,v6)). K(x,L(T(y,z \ (u * w)),v5,v6)) = K(x,L(T(y,u * (z \ w)),v5,v6)). x != K(y,L(T(z,u \ (w * v5)),v6,v7)) | x = K(y,L(T(z,(v5 \ u) \ w),v6,v7)). K(x,L(T(y,z * (u \ w)),v5,v6)) = K(x,L(T(y,(w \ u) \ z),v5,v6)). K(x,L(T(y,(z \ u) \ w),v5,v6)) = K(x,L(T(y,w * (u \ z)),v5,v6)). K(x,y) * (a(z,u,w) * v5) = (a(z,u,w) * K(x,y)) * v5. (a(x,y,z) * K(u,w)) * v5 = K(u,w) * (a(x,y,z) * v5). x != (a(y,z,u) * K(w,v5)) * v6 | x = (K(w,v5) * a(y,z,u)) * v6. K(x,y) * (a(z,u,w) * v5) = (K(x,y) * a(z,u,w)) * v5. (K(x,y) * a(z,u,w)) * v5 = K(x,y) * (a(z,u,w) * v5). K(x,L(y,a(z,u,w),v5)) = K(x,y). L(x,a(y,z,u),K(w,v5)) = x. ((K(x,y) * a(z,u,w)) * v5) * v6 != K(x,y) * (a(z,u,w) * v5) | 1 = v6. 1 = a(x,a(y,z,u),K(w,v5)). a(x,a(y,z,u),K(w,v5)) = 1. x * (y * z) != (K(u,w) * y) * z | x = L(K(u,w),y,z). K(x,y) = L(K(x,y),a(z,u,w),v5). L(K(x,y),a(z,u,w),v5) = K(x,y). a(x,a(y,z,u),K(w,v5)) * v6 != v7 | v7 = v6. x != L(K(y,z \ (u \ w)),z,u) | x = K(y,(u * z) \ w). K(x,a(y,z,u) \ (w \ v5)) = K(x,(w * a(y,z,u)) \ v5). K(x,(y * a(z,u,w)) \ v5) = K(x,a(z,u,w) \ (y \ v5)). K(x,(y \ z) \ a(u,w,v5)) = K(x,z \ (y * a(u,w,v5))). K((x \ y) \ a(z,u,w),v5) = K(y \ (x * a(z,u,w)),v5). x != K(y,(z * a(u,w,v5)) \ v6) | x = K(y,(a(u,w,v5) * z) \ v6). K(x,a(y,z,u) \ (w \ v5)) = K(x,(a(y,z,u) * w) \ v5). K(x,(a(y,z,u) * w) \ v5) = K(x,a(y,z,u) \ (w \ v5)). a(x,a(y,z,u),w) \ v5 = v5 / a(x,a(y,z,u),w). x / a(y,a(z,u,w),v5) = a(y,a(z,u,w),v5) \ x. x * y != L(z * x,a(u,w,v5),K(v6,v7)) | T(z,x) = y. T(x,y) = T(x,L(y,a(z,u,w),v5)). T(x,L(y,a(z,u,w),v5)) = T(x,y). x * K(x,y \ (z * a(u,w,v5))) = T(x,(z \ y) \ a(u,w,v5)). T(x,y \ (z * a(u,w,v5))) = T(x,(z \ y) \ a(u,w,v5)). T(x,(y \ z) \ a(u,w,v5)) = T(x,z \ (y * a(u,w,v5))). T(x,K(y \ z,y) * ((z / y) \ a(u,w,v5))) = T(x,z \ (y * a(u,w,v5))). T(x,((y * (z / y)) / y) \ a(u,w,v5)) = T(x,z \ (y * a(u,w,v5))). K(x \ a(y,z,u),L(w,x,v5)) = K(x \ a(y,z,u),w). x != K((y / z) / u,L(w,u,z)) | x = K(y / (u * z),w). K((x / y) / a(z,u,w),v5) = K(x / (a(z,u,w) * y),v5). K(a(x,y,z) \ (u / w),v5) = K(u / (a(x,y,z) * w),v5). K(x / (a(y,z,u) * w),v5) = K(a(y,z,u) \ (x / w),v5). x \ T(y * T(x,K(z,a(u,w,v5) \ (v6 / v7))),K(v6 / (a(u,w,v5) * v7),z)) = T(y,K(z,a(u,w,v5) \ (v6 / v7)) * x). x \ T(y * T(x,K(z,a(u,w,v5) \ (v6 \ v7))),K(v7 / (a(u,w,v5) * v6),z)) = T(y,K(z,a(u,w,v5) \ (v7 / v6)) * x). x \ T(y * T(x,K(z,u \ w)),K(w / (a(v5,v6,v7) * u),z)) = T(y,K(z,a(v5,v6,v7) \ (w / u)) * x). x \ T(y * T(x,K(z,u \ w)),K(a(v5,v6,v7) \ (w / u),z)) = T(y,K(z,a(v5,v6,v7) \ (w / u)) * x). x \ T(y * T(x,K(z,u \ w)),K(z,a(v5,v6,v7) \ (w / u))) = T(y,K(z,a(v5,v6,v7) \ (w / u)) * x). x \ T(y * T(x,K(z,u \ w)),K(z,a(v5,v6,v7) \ (u \ w))) = T(y,K(z,a(v5,v6,v7) \ (w / u)) * x). x \ T(y * T(x,K(z,u \ w)),K(z,u \ w)) = T(y,K(z,a(v5,v6,v7) \ (w / u)) * x). T(x,K(y,a(z,u,w) \ (v5 / v6)) * v7) = v7 \ T(x * T(v7,K(y,v6 \ v5)),K(y,v6 \ v5)). T(x,K(y,a(z,u,w) \ (v5 / v6)) * v7) = T(x,K(v6 \ v5,y) * v7). T(x,K(y,a(z,u,w) \ (v5 / v6)) * v7) != v8 | T(x,K(v5 * v6,y) * v7) = v8. T(x,K(y * z,u) * w) = T(x,K(u,y * (a(v5,v6,v7) * z)) * w). T(x,K(y,z * (a(u,w,v5) * v6)) * v7) = T(x,K(z * v6,y) * v7). T(x,K(y * a(z,u,w),v5) * v6) = T(x,K(K(v7,v8) * y,v5) * v6). T(x,K(K(y,z) * u,w) * v5) = T(x,K(u * a(v6,v7,v8),w) * v5). T(x,K(y,z) * u) = T(x,K(y * a(w,v5,v6),z) * u). T(x,K(y * a(z,u,w),v5) * v6) = T(x,K(y,v5) * v6). T(x,K(a(y,z,u) * w,v5) * v6) = T(x,K(w,v5) * v6). K(x,K(T(T(a(y,z,u),w) * v5,v6),v7) * v8) = (x * T(v9,K(x,v8))) \ (T(x,K(v5,v7) * v8) * v9). T(x,K(y,a(z,u,w) * v5) * v6) = T(x,K(v5,y) * v6). T(x,y * T(a(z,u,w) \ T(v5,v6),v6)) = T(x,K(v5,v6) * (y * (a(z,u,w) \ T(v5,v6)))). T(x,K(y,z) * (u * (a(w,v5,v6) \ T(y,z)))) = T(x,u * T(a(w,v5,v6) \ T(y,z),z)). x != T(y,K(z,u) * (w * (v5 \ T(z,v6)))) | x = T(y,w * (v5 \ T(T(z,v6),u))). T(x,y * T(a(z,u,w) \ T(v5,v6),v6)) = T(x,y * (a(z,u,w) \ T(T(v5,v6),v6))). T(x,y * (a(z,u,w) \ T(T(v5,v6),v6))) = T(x,y * T(a(z,u,w) \ T(v5,v6),v6)). x != T(y,z * (u \ T(T(w,v5),v5))) | x = T(y,z * (u \ w)). T(x,y * T(a(z,u,w) \ T(v5,v6),v6)) = T(x,y * (a(z,u,w) \ v5)). x != T(y,z * T(a(u,w,v5) \ T(v6 \ v7,v6),v6)) | x = T(y,z * ((a(u,w,v5) * v6) \ v7)). T(x,y * (a(z,u,w) \ (v5 \ v6))) = T(x,y * ((a(z,u,w) * v5) \ v6)). T(x,y * ((a(z,u,w) * v5) \ v6)) = T(x,y * (a(z,u,w) \ (v5 \ v6))). T(x,y \ ((a(z,u,w) * v5) \ v6)) = T(x,(y \ a(v7,v8,v7)) * (a(z,u,w) \ (v5 \ v6))). T(x,(y \ a(z,u,z)) * (a(w,v5,v6) \ (v7 \ v8))) = T(x,y \ ((a(w,v5,v6) * v7) \ v8)). T(x,y \ ((a(z,u,w) * v5) \ v6)) != v7 | T(x,y \ (a(z,u,w) \ (v5 \ v6))) = v7. x != (y * T(z,K(y,u))) \ (T(y,K(w,v5) * u) * z) | x = K(y,K(v5,w) * u). K(x,K(T(T(a(y,z,u),w) * v5,v6),v7) * v8) = K(x,K(v7,v5) * v8). K(x,K(T(a(y,z,u),w) * v5,T(v6,v7)) * v8) = K(x,K(v6,v5) * v8). K(x,K(y * a(z,u,w),T(v5,v6)) * v7) = K(x,K(v5,y) * v7). K(x,y * K(z * a(u,w,v5),v6)) = K(x,K(v6,z) * y). x / (K(y,K(z,u) * w) * x) = K(w * K(u * a(v5,v6,v7),z),y). K(x * K(y * a(z,u,w),v5),v6) = v7 / (K(v6,K(v5,y) * x) * v7). K(x * K(y * a(z,u,w),v5),v6) = K(K(v5,y) * x,v6). K(K(x,y) * z,u) != w | K(K(y * a(v5,v6,v7),x) * z,u) = w. K(K(x * a(y,z,u),w) * (((v5 * w) \ v6) * v7),v8) = K(((v5 * (x / (x / w))) \ v6) * v7,v8). x != K(K(y,z) * (((u * z) \ w) * v5),v6) | x = K(((u * T(z,y)) \ w) * v5,v6). K(((x * (y / (y / z))) \ u) * w,v5) = K(((x * T(z,y * a(v6,v7,v8))) \ u) * w,v5). K(((x * T(y,z * a(u,w,v5))) \ v6) * v7,v8) = K(((x * (z / (z / y))) \ v6) * v7,v8). x != K(((y * (z / (z / u))) \ w) * v5,v6) | x = K(((y * T(u,z)) \ w) * v5,v6). K(((x * T(y,z * a(u,w,v5))) \ v6) * v7,v8) = K(((x * T(y,z)) \ v6) * v7,v8). K(((x * (a(y,z,u) * w)) \ v5) * v6,v7) = K((((a(y,z,u) * w) * T(x,w)) \ v5) * v6,v7). K((((a(x,y,z) * u) * T(w,u)) \ v5) * v6,v7) = K(((w * (a(x,y,z) * u)) \ v5) * v6,v7). K((((a(x,y,z) * u) * w) \ v5) * v6,v7) = K(((u * (a(x,y,z) * w)) \ v5) * v6,v7). K((((a(x,y,z) * u) * w) \ ((u * a(x,y,z)) * w)) * v5,v6) = K(a(u,a(x,y,z),w) * v5,v6). K(K(x,T(a(y,z,u),w)) * v5,v6) = K(a(x,a(y,z,u),w) * v5,v6). K(K(x,a(y,z,u)) * w,v5) = K(a(x,a(y,z,u),v6) * w,v5). K(a(x,a(y,z,u),w) * v5,v6) = K(K(x,a(y,z,u)) * v5,v6). x != K(K(y,a(z,u,w)) * v5,v6) | x = K(v5,v6). K(a(x,a(y,z,u),w) * v5,v6) = K(v5,v6). (x * y) / (K(z,x) * y) = T(x,a(u,a(w,v5,v6),v7) * z). T(x,a(y,a(z,u,w),v5) * v6) = (x * v7) / (K(v6,x) * v7). T(x,a(y,a(z,u,w),v5) * v6) = T(x,v6). T(x,y * a(z,a(u,w,v5),v6)) = T(x,y). (a(x,a(y,z,u),w) * v5) * T(v6,v5) = v6 * (a(x,a(y,z,u),w) * v5). (a(x,a(y,z,u),w) * v5) * v6 = v5 * (a(x,a(y,z,u),w) * v6). T(a(x,a(y,z,u),w) * v5,v6) = a(x,a(y,z,u),w) * T(v5,v6). a(x,a(y,z,u),w) * T(v5,v6) = T(a(x,a(y,z,u),w) * v5,v6). a(x,a(y,z,u),w) \ T(a(x,a(y,z,u),w) * v5,v6) = T(v5,v6). (x * T(x \ y,z)) \ y = K(z,(x * (a(u,a(w,v5,v6),v7) \ 1)) \ y). K(x,(y * (a(z,a(u,w,v5),v6) \ 1)) \ v7) = (y * T(y \ v7,x)) \ v7. K(x,(y * (a(z,a(u,w,v5),v6) \ 1)) \ v7) = K(x,y \ v7). K(x,L(y,a(z,u,w),v5)) != v6 | v6 = K(x,y). K(x,L(y,a(z,u,w),v5)) != v6 | K(x,y) = v6. L(x,a(y,z,u),K(w,v5)) != v6 | v6 = x. K(x,(y * a(z,u,w)) \ v5) != v6 | K(x,a(z,u,w) \ (y \ v5)) = v6. K(x \ a(y,z,u),L(w,x,v5)) != v6 | K(x \ a(y,z,u),w) = v6. K(x,(a(y,z,u) * w) \ v5) != v6 | K(x,a(y,z,u) \ (w \ v5)) = v6. K(x \ 1,y) = K(x \ a(z,x,x \ 1),y). K(x \ a(y,x,x \ 1),z) = K(x \ 1,z). K(K(x,1) * y,T(z,1)) = K((y \ T(1,x)) \ a(u,y \ T(1,x),(y \ T(1,x)) \ 1),z). K((x \ T(1,y)) \ a(z,x \ T(1,y),(x \ T(1,y)) \ 1),u) = K(K(y,1) * x,T(u,1)). K((x \ 1) \ a(y,x \ T(1,z),(x \ T(1,z)) \ 1),u) = K(K(z,1) * x,T(u,1)). K((x \ 1) \ a(y,x \ 1,(x \ T(1,z)) \ 1),u) = K(K(z,1) * x,T(u,1)). K((x \ 1) \ a(y,x \ 1,(x \ 1) \ 1),z) = K(K(u,1) * x,T(z,1)). K((x \ 1) \ a(y,x \ 1,x),z) = K(K(u,1) * x,T(z,1)). K(x * a(y,x \ 1,x),z) = K(K(u,1) * x,T(z,1)). K(K(x,1) * y,T(z,1)) = K(y * a(u,y \ 1,y),z). K(x,T(y,1)) = K(x * a(z,x \ 1,x),y). K(x * a(y,x \ 1,x),z) = K(x,T(z,1)). K(x * a(y,x \ 1,x),z) = K(x,z). K(x,y) \ K(x,K(y,z)) = K(y,T(x * a(u,x \ 1,x),z)). K(x,T(y * a(z,y \ 1,y),u)) = K(y,x) \ K(y,K(x,u)). K(x,T(y * a(z,y \ 1,y),u)) = K(x,y) * K(y,K(x,u)). K(x,T(y * a(z,y \ 1,y),u)) = K(x,T(y,u)). T(x,T((y * a(z,u,w)) \ v5,v6)) = T(x,T(a(z,u,w) \ (y \ v5),v6)). T(x,K(y,(z * (u * (w * v5))) * a(u,w,v5))) = T(x,K(y,z * ((u * w) * v5))). T(x,K(y,(L(z,u \ 1,u) / u) * w)) = T(x,K(y,(u \ 1) * ((u * (z / u)) * w))). T(x,K(y,(z \ 1) * ((z * (u / z)) * w))) = T(x,K(y,(L(u,z \ 1,z) / z) * w)). T(x,K(y,(z \ 1) * ((z * (u / z)) * w))) = T(x,K(y,(u * (z \ 1)) * w)). x != T(y,K(z,(u * w) * v5)) | x = T(y,K(z,u * (w * v5))). T(x,K(y,(z \ 1) * ((z * (u / z)) * w))) = T(x,K(y,u * ((z \ 1) * w))). T(x,K(y,(z \ 1) * (T(u,z) * w))) = T(x,K(y,u * ((z \ 1) * w))). T(x,K(y,z \ (T(u,z) * w))) = T(x,K(y,u * ((z \ 1) * w))). x != T(y,K(z,u \ (T(w,v5) * v6))) | x = T(y,K(z,u \ (w * v6))). T(x,K(y,z * ((u \ 1) * w))) = T(x,K(y,u \ (z * w))). T(x,K(y,z * (u * ((w \ 1) * v5)))) = T(x,K(y,w \ ((z * u) * v5))). x != T(y,K(z,u * a(w,v5,v6))) | x = T(y,K(z,u)). T(x,K(y,z * ((u * w) * v5))) = T(x,K(y,z * (u * (w * v5)))). T(x,K(y,z * ((u * w) * v5))) != v6 | T(x,K(y,z * (u * (w * v5)))) = v6. T(K(x,K(y,z)) * u,K(x,K(y,a(w,v5,v6) * z))) / u = K(x,K(y,z * a(w,v5,v6))). (K(x,K(y,z)) * u) / u = K(x,K(y,z * a(w,v5,v6))). K(x,K(y,z * a(u,w,v5))) = (K(x,K(y,z)) * v6) / v6. x != (y * (K(z,K(u,w)) * v5)) / (v5 * K(z,K(u,w))) | x = y. K(x,K(y,z * a(u,w,v5))) = K(x,K(y,z)). K(x,K(y,(z * u) * w)) = K(x,K(y,z * (u * w))). K(x,K(y,z \ u)) = K(x,K(y,(w / z) * (u * w))). K(x,K(y,(z / u) * (w * z))) = K(x,K(y,u \ w)). x != K(y,K(z,(u * w) * v5)) | x = K(y,K(z,(u \ v5) * 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 * w))) * K(x,y * ((z * u) \ w)) = K(x,((z * u) \ w) * y). K(x,K(y,z * (T(u,w) * v5))) * K(x,y * ((z * ((w * u) / w)) \ v5)) = K(x,((z * ((w * u) / w)) \ v5) * y). K(x,K(y,z * (u * w))) * K(x,y * ((z * T(u,v5)) \ w)) = K(x,((z * T(u,v5)) \ w) * y). K(x,K(y,z * (u * w))) * K(x,y * ((z * ((v5 * u) / v5)) \ w)) = K(x,((z * ((v5 * u) / v5)) \ w) * y). K(x,y * ((z \ u) * w)) / K(x,K(y,z * (w * u))) = K(x,((z \ u) * w) * y). K(x,y * (((z * u) \ w) * v5)) / K(x,K(y,z * (u * (v5 * w)))) = K(x,(((z * u) \ w) * v5) * y). K(x,K(y,z * (u * (z * w)))) = K(x,K(y,w \ u)). x != K(y,K(z,u \ w)) | x = K(y,K(z,w * u)). K(x,K(y,z * (u * (z * w)))) = K(x,K(y,u * w)). K(x,K(y,a(z,u,w) * (v5 * ((z * u) * w)))) = K(x,K(y,v5 * (z * (u * w)))). x != K(y,K(z,a(u,w,v5) * v6)) | x = K(v6,K(y,z)). K(x,K(y,z * (u * (w * v5)))) = K(z * ((u * w) * v5),K(x,y)). K(x * ((y * z) * u),K(w,v5)) = K(w,K(v5,x * (y * (z * u)))). K(x,K(y,z * ((u * w) * v5))) = K(x,K(y,z * (u * (w * v5)))). K(x,K(y,z * u)) = K(x,K(y,w * (z * (u * w)))). K(x,K(y,z * (u * (w * z)))) = K(x,K(y,u * w)). K(x,y * (((z * u) \ z) * w)) / K(x,K(y,u * w)) = K(x,(((z * u) \ z) * w) * y). K(x,y * (((z * u) \ z) * w)) * K(x,K(y,u * w)) = K(x,(((z * u) \ z) * w) * y). K(x,K(y,z * u)) * K(x,y * (((w * z) \ w) * u)) = K(x,(((w * z) \ w) * u) * y). K(x,(K(y,z * (((u * w) \ u) * v5)) * (K(y,K(z,w * v5)) \ 1)) \ v6) * K(x,K(v6,K(y,(((u * w) \ u) * v5) * z))) = K(x,v6 / (K(y,z * (((u * w) \ u) * v5)) * (K(y,K(z,w * v5)) \ 1))). K(x,(K(y,z * (((u * w) \ u) * v5)) * (K(y,K(z,w * v5)) * 1)) \ v6) * K(x,K(v6,K(y,(((u * w) \ u) * v5) * z))) = K(x,v6 / (K(y,z * (((u * w) \ u) * v5)) * (K(y,K(z,w * v5)) \ 1))). K(x,(K(y,z * (((u * w) \ u) * v5)) * K(y,K(z,w * v5))) \ v6) * K(x,K(v6,K(y,(((u * w) \ u) * v5) * z))) = K(x,v6 / (K(y,z * (((u * w) \ u) * v5)) * (K(y,K(z,w * v5)) \ 1))). K(x,K(y,(((z * u) \ z) * w) * v5) \ v6) * K(x,K(v6,K(y,(((z * u) \ z) * w) * v5))) = K(x,v6 / (K(y,v5 * (((z * u) \ z) * w)) * (K(y,K(v5,u * w)) \ 1))). K(x,K((((y * z) \ y) * u) * w,v5) * v6) * K(x,K(v6,K(v5,(((y * z) \ y) * u) * w))) = K(x,v6 / (K(v5,w * (((y * z) \ y) * u)) * (K(v5,K(w,z * u)) \ 1))). a(x,y,K(z,u)) * K(u,z * K(w \ v5,w)) = K(u,L((z * (w \ v5)) / (v5 / w),y,x)). K(x,L((y * (z \ u)) / (u / z),w,v5)) = a(v5,w,K(y,x)) * K(x,y * K(z \ u,z)). a(x,y,K(z,u)) * K(u,z * K(w,w \ v5)) = K(u,L((z * (v5 / w)) / (w \ v5),y,x)). K(x,L((y * (z / u)) / (u \ z),w,v5)) = a(v5,w,K(y,x)) * K(x,y * K(u,u \ z)). K(x,L((y * (z / u)) / (u \ z),w,v5)) = a(v5,w,K(y,x)) * K(x,y * K(z,u)). x != a(y,z,K(u,w)) * K(w,u * K(v5,v6)) | x = K(w,L(u * K(v5,v6),z,y)). K(x,L((y * (z / u)) / (u \ z),w,v5)) = K(x,L(y * K(z,u),w,v5)). K(x,L(y * K(z,z \ u),w,v5)) = K(x,L(y * K(u,z),w,v5)). K(x,L((y * (z \ u)) / (u / z),w,v5)) = a(v5,w,K(y,x)) * K(x,y * K(u,z)). x \ (K(y,z) * T(z,u)) = (x \ T(z,u)) * K(y,z). (K(x,y) \ z) \ (y * x) = z \ (x * y). x != L(y,z,K(u,w)) | x = T(y,a(w,z,u)). L(x,y \ z,K(u,y)) = T(x,a(y,z,u)). x * y != T(z,u * a(w,a(v5,v6,v7),v8)) | x \ T(z,u) = y. x \ T(x,y) = K(x,y * a(z,a(u,w,v5),v6)). K(x,y * a(z,a(u,w,v5),v6)) = x \ T(x,y). x \ (y * z) = (K(z,y) * x) \ (z * y). (K(x,y) * z) \ (x * y) = z \ (y * x). T(x,a(y,y \ z,u)) = T(x,a(y,z,u)). ((x * K(y,z)) * u) \ (x * u) = ((x * K(y,z)) * T(u,x)) \ (u * x). ((x * K(y,z)) * T(u,x)) \ (u * x) = ((x * K(y,z)) * u) \ (x * u). x != L(y,T(z,y),u) | x = L(y,z,u). L(x,y * x,K(z,u)) = L(x,y,K(z,u)). K(x,y * a(z,a(u,w,v5),v6)) = K(x,y). K(x,(y * a(z,u,w)) * v5) = K(x,y * (a(z,u,w) * v5)). K(x \ y,z \ (y \ x)) = K(x \ y,(y * z) \ x). K(x \ y,(y * z) \ x) = K(x \ y,z \ (y \ x)). K(x,L(T(y,z \ u),u,z)) = K(x,(z * (y \ (z \ u))) \ u). K(x,(y * (z \ (y \ u))) \ u) = K(x,L(T(z,y \ u),u,y)). x != K(y,L((z * u) \ z,w,v5)) | x = K(y,L(u \ 1,w,v5)). K(x,(y * ((y \ z) * u)) \ z) = K(x,L(u \ 1,z,y)). K(x,L(((y * z) / z) / (u \ y),y * z,z)) = K(x,R(u,u \ y,z)). K(x,R(y,y \ z,u)) = K(x,L(((z * u) / u) / (y \ z),z * u,u)). K(x,L(T(y / z,u) / u,y,z)) = K(x,y / (T(u,y / z) * z)). K(x,L((y / (z \ u)) / K(w \ z,w),y,z \ u)) = K(x,y / ((w * (z / w)) \ u)). K(x,y / (z * u)) * a(u,y,K(x,(y / u) / z)) = K(x,(y / u) / z). K(x,L((y / (z \ u)) / K(w,w \ z),y,z \ u)) = K(x,y / (((w \ z) * w) \ u)). K(x,L((y / z) / a(u,w,v5),y,z)) = K(x,y / (L(z,w,K(u,v5)) * a(u,w,v5))). K(x,L(y,z,u)) = K(x,L(y,z,y \ u)). K(x,L(y,z,y \ u)) = K(x,L(y,z,u)). K(x,L(y,z,y \ u)) != w | K(x,L(y,z,u)) = w. x / (K(y,L(z,u,w)) * x) = K(L(z,u,z \ w),y). K(L(x,y,x \ z),u) = w / (K(u,L(x,y,z)) * w). K(x,L((y \ 1) \ z,u,w)) != v5 | K(x,L(y * z,u,w)) = v5. x != K(y / (K(z,u) / R(z,w,w \ 1)),T(v5,z)) | x = K((K(z,u) / R(z,w,w \ 1)) \ y,v5). K(x * (R(y,z,z \ 1) * K(u,y)),T(w,y)) = K((K(y,u) / R(y,z,z \ 1)) \ x,w). K(x,y * (((z \ u) \ w) \ 1)) = K(x,y * (((u / z) \ w) \ K(u,z))). K(x,y * (((z / u) \ w) \ K(z,u))) = K(x,y * (((u \ z) \ w) \ 1)). x * (T(y / x,(y / x) \ y) / z) = (y / (y / x)) * ((y / x) / z). K(x,(y \ T(z,(u \ T(w,v5)) \ w)) \ v6) = K(x,((y \ z) \ v6) * K(K(v5,w) * u,z)). K(x,L(y * (z \ 1),u,w)) = K(x,L(y / z,u,w)). K(x,L(y * (z \ 1),u,w)) != v5 | K(x,L(y / z,u,w)) = v5. T(x,K(y,(z * (u * (w \ 1))) * v5)) = T(x,K(y,(u * (w \ 1)) * (T(z,u / w) * v5))). T(x,K(y,(z * (u \ 1)) * (T(w,z / u) * v5))) = T(x,K(y,(w * (z * (u \ 1))) * v5)). K(x,y * (((z / u) \ w) \ K(z,u))) != v5 | K(x,y / ((u \ z) \ w)) = v5. K(x,L((y * (z \ u)) / (u / z),w,v5)) = K(x,L(y * K(u,z),w,v5)). K(x,L(y * K(z \ u,z),w,v5)) = K(x,L(y * K(u,z),w,v5)). T(x,K(y,(z * (u \ 1)) * (T(w,z / u) * v5))) = T(x,K(y,w * ((z * (u \ 1)) * v5))). x != T(y,K(z,u * ((w * v5) * v6))) | x = T(y,K(z,u * (w * (v5 * v6)))). T(x,K(y,(z * (u \ 1)) * (T(w,z / u) * v5))) = T(x,K(y,w * (z * ((u \ 1) * v5)))). x != T(y,K(z,u * (T(w,v5) * v6))) | x = T(y,K(z,u * (w * v6))). T(x,K(y,z * (u * ((w \ 1) * v5)))) = T(x,K(y,(u * (w \ 1)) * (z * v5))). T(x,K(y,(z * (u \ 1)) * (w * v5))) = T(x,K(y,w * (z * ((u \ 1) * v5)))). T(x,K(y,z * ((u \ 1) * (w * v5)))) = T(x,K(y,w * (z * ((u \ 1) * v5)))). x != T(y,K(z,u * ((w \ 1) * v5))) | x = T(y,K(z,w \ (u * v5))). T(x,K(y,z * (u * ((w \ 1) * v5)))) = T(x,K(y,w \ (u * (z * v5)))). x != T(y,K(z,u * (w * ((v5 \ 1) * v6)))) | x = T(y,K(z,v5 \ ((u * w) * v6))). T(x,K(y,z \ (u * (w * v5)))) = T(x,K(y,z \ ((w * u) * v5))). T(x,K(y,z \ ((u * w) * v5))) = T(x,K(y,z \ (w * (u * v5)))). a(x,y,K(z * (u \ K(w,v5)),v6)) = a(x,y,K((u \ z) * K(w,v5),v6)). a(x,y,K((z \ u) * K(w,v5),v6)) = a(x,y,K(u * (z \ K(w,v5)),v6)). x != a(y,z,K(u * K(w,v5),v6)) | x = a(y,z,K(u,v6)). a(x,y,K(z * (u \ K(w,v5)),v6)) = a(x,y,K(u \ z,v6)). a(x * (y \ K(z,u)),w,K(v5,v6)) = a(v6,w,K(y \ x,v5)). a(x * (y \ K(z,u)),w,K(v5,v6)) = a(y \ x,w,K(v5,v6)). a((x \ K(y,z)) * u,w,K(v5,v6)) = a(x \ u,w,K(v5,v6)). K(x,y) * a(z \ u,w,K(y,x)) = K(x,L(y,w,(K(v5,v6) * (z \ 1)) * u)). K(x,L(y,z,(K(u,w) * (v5 \ 1)) * v6)) = K(x,y) * a(v5 \ v6,z,K(y,x)). K(x,L(y,z,(K(u,w) * (v5 \ 1)) * v6)) = K(x,L(y,z,v5 \ v6)). K(x,L(y,z,(u \ K(w,v5)) * v6)) = K(x,L(y,z,u \ v6)). K(x,L(y,z,u * (w \ K(v5,v6)))) = K(x,L(y,z,w \ u)). K(x,L(y,z,u * (w \ 1))) = K(x,L(y,z,w \ u)). K(x,L(y,z,u * (w \ 1))) = K(x,L(y,z,(K(v5,v6) * w) \ u)). K(x,L(y,z,(K(u,w) * v5) \ v6)) = K(x,L(y,z,v6 * (v5 \ 1))). x != K(y,L(z,u,w)) | x = K(y,L(z,w \ u,w)). K(x,L(y,z,u \ w)) = K(x,L(y,(w * (u \ 1)) \ z,w * (u \ 1))). K(x,L(y,(z * (u \ 1)) \ w,z * (u \ 1))) = K(x,L(y,w,u \ z)). x != K(y,L(z,u,w * (v5 \ 1))) | x = K(y,L(z,u,v5 \ w)). K(x,L(y,z,u \ w)) = K(x,L(y,(w * (u \ 1)) \ z,u \ w)). K(x,L(y,(z * (u \ 1)) \ w,u \ z)) = K(x,L(y,w,u \ z)). K(x,L(y,z,(K(u,w) * v5) \ v6)) = K(x,L(y,z,v5 \ v6)). x != K(y,L(T(z,u),w,(K(z,y) * w) \ u)) | x = u \ (w * ((K(z,y) * w) \ u)). K(x,L(T(y,z),u,u \ z)) = z \ (u * ((K(y,x) * u) \ z)). x \ (y * ((K(z,u) * y) \ x)) = K(u,L(T(z,x),y,y \ x)). x * K(y,L(T(z,u),u,u \ x)) = (x / (K(z,y) * u)) * u. x != y * K(z,L(u,w,w \ y)) | x = (y / w) * (w * K(z,u)). (x / (K(y,z) * u)) * u = (x / u) * (u * K(z,T(y,u))). (x / y) * (y * K(z,T(u,y))) = (x / (K(u,z) * y)) * y. (x / y) * (K(z,u) * y) = (x / (K(u,z) * y)) * y. (x / (K(y,z) * u)) * u = (x / u) * (K(z,y) * u). x * y != z * (K(z \ 1,u) * w) | (K(z \ 1,u) * (z * w)) / y = x. (K((x / y) \ 1,z) * ((x / y) * y)) / y = x / (K(z,(x / y) \ 1) * y). (K(x,y) * z) * R((K(x,y) * z) \ u,z,z \ (K(x,y) * z)) = ((u / z) * (K(y,x) * z)) * (z \ (K(x,y) * z)). (K(x,y) * z) * R((K(x,y) * z) \ u,z,T(K(x,y),z)) = ((u / z) * (K(y,x) * z)) * (z \ (K(x,y) * z)). (K(x,y) * z) * R((K(x,y) * z) \ u,z,K(x,T(y,z))) = ((u / z) * (K(y,x) * z)) * (z \ (K(x,y) * z)). K(x,y) * (z * ((K(x,y) * z) \ u)) = ((u / z) * (K(y,x) * z)) * (z \ (K(x,y) * z)). ((x / y) * (K(z,u) * y)) * (y \ (K(u,z) * y)) = K(u,z) * (y * ((K(u,z) * y) \ x)). K(x,y) * (z * ((K(x,y) * z) \ u)) = ((u / z) * (K(y,x) * z)) * T(K(x,y),z). ((x / y) * (K(z,u) * y)) * T(K(u,z),y) = K(u,z) * (y * ((K(u,z) * y) \ x)). ((x / y) * (K(z,u) * y)) * K(u,T(z,y)) = K(u,z) * (y * ((K(u,z) * y) \ x)). x != (y * (K(z,u) * w)) * K(u,T(z,w)) | x = (y * (w * K(z,u))) * K(u,z). K(x,y) * (z * ((K(x,y) * z) \ u)) = ((u / z) * (z * K(y,x))) * K(x,y). ((x / y) * (y * K(z,u))) * K(u,z) = K(u,z) * (y * ((K(u,z) * y) \ x)). (K(x / y,z) * ((y / x) * x)) / x = y / (K(z,(y / x) \ 1) * x). (K(x / y,z) * y) / x = y / (K(z,(y / x) \ 1) * x). x / (K(y,(x / z) \ 1) * z) = (K(z / x,y) * x) / z. x / (K(y,(x / z) \ 1) * z) = (x * K(x \ z,y)) / z. x != (y * K(y \ z,u)) / z | x = K(z / y,u) * (y / z). x / (K(y,(x / z) \ 1) * z) = K(z / x,y) * (x / z). x / (y * K(z,x \ y)) = K(y / x,z) * (x / y). ((x \ y) \ K(x \ y,z)) * ((x \ y) * (K(z,x \ y) * T(K(y / x,z) * (x / y),y * K(z,x \ y)))) = (y * K(z,x \ y)) \ x. ((x \ y) \ K(x \ y,z)) * ((x \ y) * T((K(y / x,z) * (x / y)) * K(z,y / x),y)) = (y * K(z,x \ y)) \ x. ((x \ y) \ K(x \ y,z)) * ((x \ y) * T(T(x / y,K(z,y / x)),y)) = (y * K(z,x \ y)) \ x. ((x \ y) \ K(x \ y,z)) * ((x \ y) * T(T(x / y,K(z,x \ y)),y)) = (y * K(z,x \ y)) \ x. ((x \ y) \ K(x \ y,z)) * ((x \ y) * T(y \ x,K(z,x \ y))) = (y * K(z,x \ y)) \ x. ((x \ y) \ K(x \ y,z)) * ((x \ y) * (y \ x)) = (y * K(z,x \ y)) \ x. x != (y \ K(y,z)) * u | x = K(y,z) * ((y \ 1) * u). (x * K(y,z \ x)) \ z = K(z \ x,y) * (((z \ x) \ 1) * ((z \ x) * (x \ z))). K(x \ y,z) * (((x \ y) \ 1) * ((x \ y) * (y \ x))) = (y * K(z,x \ y)) \ x. K(x \ y,z) * (y \ x) = (y * K(z,x \ y)) \ x. (x * K(y,z \ x)) \ z = K(z \ x,y) * (x \ z). x != K(y \ z,u) * (z \ y) | x = (z \ y) * K(y \ z,u). (x * K(y,z \ x)) \ z = (x \ z) * K(z \ x,y). (x * K(y,z)) \ (x / z) = (x \ (x / z)) * K((x / z) \ x,y). (x \ (x / y)) * K((x / y) \ x,z) = (x * K(z,y)) \ (x / y). (x \ (x / y)) * K(y,z) = (x * K(z,y)) \ (x / y). (x * K(y,z)) \ (x / z) = (x \ (x / z)) * K(z,y). L(x,y,((z \ (z / u)) * K(u,w)) \ (z / u)) = L(x,y,T(z * K(w,u),z / u)). L(x,y,K(z,u) * ((w \ (w / u)) \ (w / u))) = L(x,y,T(w * K(z,u),w / u)). L(x,y,K(z,u) * T(w,w \ (w / u))) = L(x,y,T(w * K(z,u),w / u)). L(x,y,K(z,u) * T(w,u \ 1)) = L(x,y,T(w * K(z,u),w / u)). L(x,y,T(z * K(u,w),z / w)) = L(x,y,K(u,w) * T(z,w \ 1)). L(x,y,T(z * K(u,w),z / w)) = L(x,y,T(K(u,w) * z,w \ 1)). L(x,y,T(K(z,u) * w,u \ 1)) = L(x,y,T(w * K(z,u),w / u)). L(x,y,T(K(z,u) * w,u \ 1)) = L(x,y,T(w * K(z,u),u \ w)). x \ (y * ((a(z,u,K(w,v5)) * y) \ x)) = K(a(w,u,z),L(T(v5,x),y,y \ x)). x \ (y * (a(z,u,K(w,v5)) * (y \ x))) = K(a(z,u,w),L(T(v5,x),y,y \ x)). a((x / y) \ z,u,K(w,v5)) = a(v5,u,K((y \ x) \ z,w)). a((x / y) \ z,u,K(w,v5)) = a((y \ x) \ z,u,K(w,v5)). x != K(y,z * K(K(u,w) * v5,v6)) | x = K(y,K(v5,v6) * z). K(x,(y \ T(z,(u \ T(w,v5)) \ w)) \ v6) = K(x,K(u,z) * ((y \ z) \ v6)). x != K(y,K(z,u) * ((w \ u) \ v5)) | x = K(y,(w \ T(u,z)) \ v5). K(x,(y \ T(z,(u \ T(w,v5)) \ w)) \ v6) = K(x,(y \ T(z,u)) \ v6). K(x,(y \ T(z,T(K(u,w) * v5,w))) \ v6) = K(x,(y \ T(z,v5)) \ v6). x != K(y,(z \ T(u,T(w,v5))) \ v6) | x = K(y,(z \ T(u,w)) \ v6). K(x,(y \ T(z,u)) \ w) = K(x,(y \ T(z,K(v5,v6) * u)) \ w). K(x,(y \ T(z,K(u,w) * v5)) \ v6) = K(x,(y \ T(z,v5)) \ v6). K(x,K(y,z \ u)) * K(x,(z \ T(u,w)) \ y) = K(x,y / (z \ T(u,K(v5,v6) * w))). K(x,y / (z \ T(u,K(w,v5) * v6))) = K(x,K(y,z \ u)) * K(x,(z \ T(u,v6)) \ y). x != K(y,K(z,u \ w)) * K(y,(u \ T(w,v5)) \ z) | x = K(y,z / (u \ T(w,v5))). K(x,y / (z \ T(u,K(w,v5) * v6))) = K(x,y / (z \ T(u,v6))). K(x,y / (z \ (K(u,w) * v5))) = K(x,y / (z \ T(K(u,w) * v5,v5))). K(x,y / (z \ T(K(u,w) * v5,v5))) = K(x,y / (z \ (K(u,w) * v5))). K(x,y / (z \ (u * K(w,v5)))) = K(x,y / (z \ (K(w,v5) * u))). K(x,y / (z \ (K(u,w) * v5))) = K(x,y / (z \ (v5 * K(u,w)))). K(x \ (y * ((z \ 1) * (u / (z \ 1)))),w) = K(K(z \ 1,z * u) * (x \ (y * u)),w). x != K(K(y \ 1,z) * u,w) | x = K(K(z,y) * u,w). K(x \ (y * ((z \ 1) * (u / (z \ 1)))),w) = K(K(z * u,z) * (x \ (y * u)),w). x != K(K(y * z,y) * u,w) | x = K(K(y,z) * u,w). K(x \ (y * ((z \ 1) * (u / (z \ 1)))),w) = K(K(z,u) * (x \ (y * u)),w). K(x,T((y * ((z * u) / z)) \ w,v5)) != v6 | K(x,T((y * T(u,z)) \ w,v5)) = v6. K(x,K(y * z,u) * L(w \ 1,w,v5)) = K(x,w \ K(u,y \ z)). x != K(y,K(z,u) * L(w \ 1,w,v5)) | x = K(y,w \ K(u,z)). K(x,y \ K(z,u \ w)) = K(x,y \ K(z,u * w)). K(x * ((K(y,y \ K(z,u * w)) / y) \ K(z,w * u)),v5) = K(x * (K(z,u \ w) * y),v5). K(K(x * y,y) * ((z * x) \ u),w) = K((z * T(x,y \ 1)) \ u,w). K(K(x * y,x) * ((z * y) \ u),w) = K((z * T(y,x \ 1)) \ u,w). K(K(x,y) * ((z * y) \ u),w) = K((z * T(y,x \ 1)) \ u,w). K((x * T(y,z \ 1)) \ u,w) = K(K(z,y) * ((x * y) \ u),w). K((x * T(y,z \ 1)) \ u,w) = K((x * T(y,z)) \ u,w). K(K(T(x,y),z) * ((T(x,y) / u) \ w),v5) = K((T(T(x,z),y) / u) \ w,v5). K(K(x,T(y,z)) * ((T(x,z) / u) \ w),v5) = K((T(T(x,y),z) / u) \ w,v5). K(K(x,y) * ((T(x,z) / u) \ w),v5) = K((T(T(x,y),z) / u) \ w,v5). K(K(x,y) * ((T(x,z) / u) \ w),T(v5,w)) = K(w / (T(T(x,y),z) / u),v5). K(x * ((T(y,z) / u) \ K(y,w)),v5) = K(x / (T(T(y,w),z) / u),v5). K(K(x,y) * (((y * x) \ z) \ u),w) = K((T(y * x,x) \ z) \ u,w). K(((x * y) \ z) \ u,L(w,u,K(x,y))) = K((T(y * x,x) \ z) \ u,w). K((T(x * y,y) \ z) \ u,w) != v5 | K(((y * x) \ z) \ u,w) = v5. K(((x * y) \ x) \ z,u) = K((x / (y * x)) \ z,u). K((x / (y * x)) \ z,u) = K(((x * y) \ x) \ z,u). K(x,y * (((z \ 1) \ u) \ K(z * u,w))) != v5 | K(x,y / T((1 / z) \ u,w)) = v5. K(x,y / (z * K(u,w))) != v5 | K(x,(y / z) * K(w,u)) = v5. x != K(y,K(z,u) * (w / (v5 * u))) | x = K(y,w / (v5 * ((z * u) / z))). 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))). x != K(y,z / (u * ((u * w) / u))) | x = K(y,z / (T(u,w) * w)). K(x,y / (z * T(u,z))) = K(x,y / (T(z,u) * u)). K(x,y / (T(z,u) * u)) = K(x,y / (z * T(u,z))). K(x,y / (T(z,u) * u)) = K(x,y / (u * z)). x != K(y,z / (T(u,w) * w)) | x = K(y,z / T(u * w,u)). K(x,y / (z * u)) = K(x,y / T(u * z,u)). K(x,y / T(z * u,z)) = K(x,y / (u * z)). K(x,y / T(z,u)) = K(x,y / ((u \ z) * u)). K(x,y / ((z \ u) * z)) = K(x,y / T(u,z)). K(x,K(y,z) * (u \ (y \ w))) = K(x,u \ (((z \ y) * z) \ w)). K(x,y \ (((z \ u) * z) \ w)) = K(x,K(u,z) * (y \ (u \ w))). K(x,K(y,z) * (u \ (y \ w))) = K(x,u \ (T(y,z) \ w)). x != K(y,K(z,u) * (w \ (z \ v5))) | x = K(y,w \ (((u \ z) * u) \ v5)). K(x,y \ (T(z,u) \ w)) = K(x,y \ (((u \ z) * u) \ w)). K(x,y \ (((z \ u) * z) \ w)) = K(x,y \ (T(u,z) \ w)). K(x,y \ ((z * u) \ w)) = K(x,y \ (T(u * z,u) \ w)). K(x,y \ (T(z * u,z) \ w)) = K(x,y \ ((u * z) \ w)). T(x,K(y,z \ (T(u * w,u) \ v5))) = T(x,K(y,((w * u) \ v5) \ z)). x != T(y,K(z,u \ (T(w,v5) \ v6))) | x = T(y,K(z,u \ (w \ v6))). T(x,K(y,((z * u) \ w) \ v5)) = T(x,K(y,v5 \ ((u * z) \ w))). T(x,K(y,z \ ((u * w) * v5))) = T(x,K(y,v5 \ ((w * u) \ z))). T(x,K(y,z \ ((u * w) \ v5))) = T(x,K(y,v5 \ ((w * u) * z))). x != T(y,K(z,u \ ((w * v5) * v6))) | x = T(y,K(z,u \ (v5 * (w * v6)))). T(x,K(y,z \ ((u * w) \ v5))) = T(x,K(y,v5 \ (u * (w * z)))). T(x,K(y,(z * u) * (w \ v5))) = T(x,K(y,w \ (z * (u * v5)))). T(x,K(y,z \ (u * (w * v5)))) = T(x,K(y,(u * w) * (z \ v5))). T(x,K(y,z \ (u * (w * v5)))) = T(x,K(y,u * (w * (z \ v5)))). T(x,K(y,z * (u \ (w * v5)))) = T(x,K(y,z * (w * (u \ v5)))). T(x,K(y,z * ((u * w) * v5))) = T(x,K(y,z * (u * (v5 \ w)))). T(x,K(y,z * (u * (w \ v5)))) != v6 | T(x,K(y,z * (u * (v5 * w)))) = v6. T(T(x,y),K(y,z * (u * (w * v5)))) = T(x,T(y,z * ((v5 \ w) * T(u,w * v5)))). T(x,T(y,z * (u * (w * v5)))) = T(x,T(y,z * ((v5 \ w) * T(u,w * v5)))). T(x,T(y,z * ((u \ w) * T(v5,w * u)))) = T(x,T(y,z * (v5 * (w * u)))). T(x,T(y,z * (u * (w \ v5)))) = T(x,T(y,z * (u * (v5 * w)))). T(K(x,T(y,z * (u * (w \ v5)))),(v6 * (1 / x)) \ v6) = ((v6 * (1 / x)) \ v6) \ T((v6 * (1 / x)) \ v6,T(y,z * (u * (v5 * w)))). ((x * (1 / y)) \ x) \ T((x * (1 / y)) \ x,T(z,u * (w * (v5 * v6)))) = T(K(y,T(z,u * (w * (v6 \ v5)))),(x * (1 / y)) \ x). x != T(y,(z * u) \ z) | x = T(y,u \ 1). ((x * (1 / y)) \ x) \ T((x * (1 / y)) \ x,T(z,u * (w * (v5 * v6)))) = T(K(y,T(z,u * (w * (v6 \ v5)))),(1 / y) \ 1). ((x * (1 / y)) \ x) \ T((x * (1 / y)) \ x,T(z,u * (w * (v5 * v6)))) = T(K(y,T(z,u * (w * (v6 \ v5)))),y). x != T(K(y,z),y) | x = K(y,z). ((x * (1 / y)) \ x) \ T((x * (1 / y)) \ x,T(z,u * (w * (v5 * v6)))) = K(y,T(z,u * (w * (v6 \ v5)))). K((x * (1 / y)) \ x,T(z,u * (w * (v5 * v6)))) = K(y,T(z,u * (w * (v6 \ v5)))). K((1 / x) \ 1,T(y,z * (u * (w * v5)))) = K(x,T(y,z * (u * (v5 \ w)))). K(x,T(y,z * (u * (w * v5)))) = K(x,T(y,z * (u * (v5 \ w)))). K(x,T(y,z * (u * (w \ v5)))) = K(x,T(y,z * (u * (v5 * w)))). K(x,K(y,z) * (u \ (w \ z))) = K(x,u \ (w \ T(z,y))). x != K(y,K(z,u) * (w \ (u \ z))) | x = K(y,w \ (z / u)). K(x,y \ (z \ T(u,z))) = K(x,y \ (u / z)). K(x,y \ (z \ T(u,K(w,v5)))) != v6 | K(x,y \ (z \ u)) = v6. K(x,y \ (z \ (u * z))) = K(x,y \ T(u,z / K(w,v5))). K(x,y \ T(z,u / K(w,v5))) = K(x,y \ (u \ (z * u))). K(x,y \ T(z,u / K(w,v5))) = K(x,y \ T(z,u)). K(x,y \ T(z,T(u,w) \ v5)) = K(x,y \ T(z,u \ v5)). K(x,y / (T(z,u) \ w)) = K(x,(T(z,u) \ w) \ T(y,z \ w)). K(x,(T(y,z) \ u) \ T(w,y \ u)) = K(x,w / (T(y,z) \ u)). K(x,(T(y,z) \ z) \ T(u,y \ z)) = K(x,u / (y \ T(z,y))). K(x,K(y,z) * (u \ (w * y))) = K(x,u \ (w * ((z \ y) * z))). K(x,y \ (z * ((u \ w) * u))) = K(x,K(w,u) * (y \ (z * w))). x != K(y,z \ T(u * K(w,v5),w)) | x = K(y,z \ ((w \ u) * T(w,v5))). K(x,K(y,z) * (u \ T(w,y))) = K(x,u \ ((y \ w) * T(y,z))). K(x,y \ ((z \ u) * T(z,w))) = K(x,K(z,w) * (y \ T(u,z))). K((x \ y) \ z,z \ ((x \ y) * T(x,u))) = K(((x \ y) * T(x,u)) \ (z * T(x,u)),K(x,u) * (z \ T(y,x))). K(((x \ y) * T(x,z)) \ (u * T(x,z)),K(x,z) * (u \ T(y,x))) = K((x \ y) \ u,u \ ((x \ y) * T(x,z))). K(((x \ y) * T(x,y)) \ (z * T(x,y)),T(z \ y,K(y,x))) = K((x \ y) \ z,z \ ((x \ y) * T(x,y))). K(((x \ y) * T(x,y)) \ (z * T(x,y)),z \ y) = K((x \ y) \ z,z \ ((x \ y) * T(x,y))). x != K(y,K(z,u) * (w \ (v5 * z))) | x = K(y,w \ (v5 * ((u \ z) * 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 * z)) = K(x,(z * y) \ (u * T(z,y))). K(x,(y * z) \ (u * T(y,z))) = K(x,(z * y) \ (u * y)). K(x,y \ (z * (u * w))) = K(x,y \ (z * T(w * u,w))). K(x,y \ (z * T(u * w,u))) = K(x,y \ (z * (w * u))). K(x,(y * (y \ z)) \ T(((z / y) * u) * y,K(y,z))) = K(x,((y \ z) * y) \ (((y \ z) * u) * y)). K(x,y \ T(((y / z) * u) * z,K(z,y))) = K(x,((z \ y) * z) \ (((z \ y) * u) * z)). K(x,((y \ z) * y) \ (((y \ z) * u) * y)) = K(x,z \ T(((z / y) * u) * y,K(y,z))). K(x,((y \ z) * y) \ (((y \ z) * u) * y)) != w | K(x,z \ (((z / y) * u) * y)) = w. K(x,((y \ z) \ u) * K(w,y)) = K(x,(T(y,w) \ z) \ u). K(x,((y \ z) \ u) * K(y,w)) = K(x,(T(y,w) \ z) \ u). K(x,K(y,z) * ((z \ u) \ w)) = K(x,(T(z,y) \ u) \ w). x != K(y,K(z \ u,z) * ((z \ w) \ v5)) | x = K(y,((u / (u / z)) \ w) \ v5). K(x,(T(y,y \ z) \ u) \ w) = K(x,((z / (z / y)) \ u) \ w). K(x,((y \ z) \ u) * K(y \ w,y)) = K(x,(T(y,w) \ z) \ u). x != K(y,((z \ u) \ w) * K(v5,z)) | x = K(y,(T(z,v5) \ u) \ w). K(x,(T(y,z) \ u) \ w) = K(x,(T(y,y \ z) \ u) \ w). K(x,(T(y,y \ z) \ u) \ w) = K(x,(T(y,z) \ u) \ w). x != K(y,(T(z,z \ u) \ w) \ v5) | x = K(y,((u / (u / z)) \ w) \ v5). K(x,(T(y,z) \ u) \ w) = K(x,((z / (z / y)) \ u) \ w). K(x,((y / (y / z)) \ u) \ w) = K(x,(T(z,y) \ u) \ w). K(x,(((y \ z) \ z) \ u) \ w) = K(x,(T(y,z) \ u) \ w). K(x,(y / z) \ u) = K(x,(T(z,y) \ y) \ u). K(x,(T(y,z) \ z) \ u) = K(x,(z / y) \ u). x != K(y,(T(z,u) \ u) \ T(w,z \ u)) | x = K(y,w / (z \ T(u,z))). K(x,(y / z) \ T(u,z \ y)) = K(x,u / (z \ T(y,z))). K(x,(y \ T(z,y)) \ u) = K(x,(z / y) \ u). K(x,y / (z / u)) = K(x,y / (u \ T(z,u))). K(x,y / (z \ T(u,z))) = K(x,y / (u / z)). K(x,y / (z \ T(u,z))) != w | K(x,y / (u / z)) = w. K(x,y / (T(z,u) \ u)) != w | K(x,y / (u / z)) = w. K(x,y / (z \ (z * (u / T(z,u))))) = K(x,y / ((z * (u / z)) / z)). K(x,y / (T(z,T(u,w)) \ T(v5,T(z,u)))) = K(x,y / (v5 / T(z,T(u,w)))). K(x,y / (T(z,u) \ T(w,T(z,u)))) = K(x,y / (w / T(z,T(u,v5)))). K(x,y / (z / T(u,w))) = K(x,y / (z / T(u,T(w,v5)))). K(x,y / (z / T(u,T(w,v5)))) = K(x,y / (z / T(u,w))). x / (K(y,z / (u / T(w,v5))) * x) = K(z / (u / T(w,T(v5,v6))),y). K(x / (y / T(z,T(u,w))),v5) = v6 / (K(v5,x / (y / T(z,u))) * v6). K(x / (y / T(z,T(u,w))),v5) = K(x / (y / T(z,u)),v5). K(x / (y / T(z,T(u,w))),v5) != v6 | K(x / (y / T(z,u)),v5) = v6. K(x,y / (z / T(u,z))) = K(x,y / ((u * (z / u)) / u)). K(x,y / ((z * (u / z)) / z)) = K(x,y / (u / T(z,u))). K(x,y / T(z / u,u)) = K(x,y / (z / T(u,z))). K(x,y / (z \ u)) = K(x,y / (u / T(z,u))). K(x,y / (z / T(u,z))) = K(x,y / (u \ z)). K(x,((y * z) \ u) * K(y,w)) = K(x,(T(y,w) * z) \ u). K(x,K(y,z) * ((y * u) \ w)) = K(x,(T(y,z) * u) \ w). K(x,K(K(y,z),u) * ((T(z,y) \ w) \ v5)) = K(x,(T(K(y,z),u) * (z \ w)) \ v5). K(x,K(K(y,y \ z),u) * (((y * (z / y)) * w) \ v5)) = K(x,(T(K(y,y \ z),u) * (z * w)) \ v5). K(x,K(K(y,y \ z),u) * ((((y \ z) * y) \ w) \ v5)) = K(x,(T(K(y,y \ z),u) * (z \ w)) \ v5). K(x,K(y,K(y \ z,u)) * (((y * (z / y)) * w) \ v5)) = K(x,(T(K(y,y \ z),u) * (z * w)) \ v5). K(x,((y * (z / y)) * u) \ w) = K(x,(T(K(y,y \ z),v5) * (z * u)) \ w). K(x,(T(K(y,y \ z),u) * (z * w)) \ v5) = K(x,((y * (z / y)) * w) \ v5). K(x,(K(y,T(y \ z,u)) * (z * w)) \ v5) = K(x,((y * (z / y)) * w) \ v5). K(x,K(T(y \ z,u),y) * ((z * w) \ v5)) = K(x,((y * (z / y)) * w) \ v5). K(x,((y * z) \ u) * K(w \ y,w)) = K(x,((w * (y / w)) * z) \ u). K(x,((y * (z / y)) * u) \ w) = K(x,((z * u) \ w) * K(z,y)). K(x,K(y,K(y \ z,u)) * ((((y \ z) * y) \ w) \ v5)) = K(x,(T(K(y,y \ z),u) * (z \ w)) \ v5). K(x,(((y \ z) * y) \ u) \ w) = K(x,(T(K(y,y \ z),v5) * (z \ u)) \ w). K(x,(T(K(y,y \ z),u) * (z \ w)) \ v5) = K(x,(((y \ z) * y) \ w) \ v5). K(x,(K(y,T(y \ z,u)) * (z \ w)) \ v5) = K(x,(((y \ z) * y) \ w) \ v5). K(x,K(T(y \ z,u),y) * ((z \ w) \ v5)) = K(x,(((y \ z) * y) \ w) \ v5). K(x,((y \ z) \ u) * K(w \ y,w)) = K(x,(((w \ y) * w) \ z) \ u). K(x,(((y \ z) * y) \ u) \ w) = K(x,((z \ u) \ w) * K(z,y)). x != K(y,((z \ u) \ w) * K(z,v5)) | x = K(y,(T(z,v5) \ u) \ w). K(x,(((y \ z) * y) \ u) \ w) = K(x,(T(z,y) \ u) \ w). K(x,((y * z) \ u) \ w) = K(x,(T(z * y,z) \ u) \ w). K(x,(T(y * z,y) \ u) \ w) = K(x,((z * y) \ u) \ w). x != K(y,(T(z,u) \ u) \ w) | x = K(y,(u / z) \ w). K(x,((y * z) \ z) \ u) = K(x,(z / (z * y)) \ u). K(x,(y / (y * z)) \ u) = K(x,((z * y) \ y) \ u). K(x,K(y,K(z,u)) * ((T(z,y) \ w) \ v5)) = K(x,(T(K(y,z),u) * (z \ w)) \ v5). K(x,(T(y,z) \ u) \ w) = K(x,(T(K(z,y),v5) * (y \ u)) \ w). K(x,(T(K(y,z),u) * (z \ w)) \ v5) = K(x,(T(z,y) \ w) \ v5). K(x,(K(y,T(z,u)) * (z \ w)) \ v5) = K(x,(T(z,y) \ w) \ v5). K(x,(T(y,T(z,u)) \ w) \ v5) = K(x,(T(y,z) \ w) \ v5). x != K(y,((z * u) \ w) * K(z,v5)) | x = K(y,((v5 * (z / v5)) * u) \ w). K(x,(T(y,z) * u) \ w) = K(x,((z * (y / z)) * u) \ w). K(x,((y * (z / y)) * u) \ w) = K(x,(T(z,y) * u) \ w). K(x,K(y,z) * (u \ (y / z))) = K(x,((z \ y) \ u) \ 1). K(x,K(y,z) * (u \ (y / z))) = K(x,u \ (z \ y)). x != K(y,K(z,u) * (w \ (v5 / u))) | x = K(y,w \ (v5 / T(u,z))). K(x,y \ (z \ u)) = K(x,y \ (u / T(z,u))). K(x,y \ (z / T(u,z))) = K(x,y \ (u \ z)). K((x * (((y \ 1) \ x) / x)) * K(z,u),w) = K((y * K(z,u)) * T(x,y),w). K((x * K(y,z)) * T(u,x),w) = K((u * (((x \ 1) \ u) / u)) * K(y,z),w). K(K(x,y) * ((z \ 1) \ u),T(w,u)) = K((z * K(y,x)) * T(u,z),w). K(x * ((y \ 1) \ K(z,u)),w) = K((y * K(u,z)) * T(x,y),w). K((x * K(y,z)) * T(u,x),w) = K(u * ((x \ 1) \ K(z,y)),w). x != K((y * K(z,u)) * T(w,y),v5) | x = K(w * (y * K(u,z)),v5). K(x * ((y \ 1) \ K(z,u)),w) = K(x * (y * K(z,u)),w). K(x,y * ((z * K(u,w)) \ v5)) * K(x,K(y,z \ v5)) = K(x,((z * K(u,w)) \ v5) * y). (x * K(y,z)) * (u / (x * K(y,z))) = (K(y,z) * x) * (u / (K(y,z) * x)). (K(x,y) * z) * (u / (K(x,y) * z)) = (z * K(x,y)) * (u / (z * K(x,y))). (K(x,y) * z) * (u / (K(x,y) * z)) != w | (z * K(x,y)) * (u / (z * K(x,y))) = w. (x * K(y,z)) * (u / (x * K(y,z))) = x * T(u / T(x,K(y,z)),K(y,z)). K(x,y * (z * T(u / T(z,K(w,v5)),K(w,v5)))) = K(x,y * T(u,z * K(w,v5))). K(x,y * ((z * T(u / T(z,K(w,v5)),K(w,v5))) / (z * K(w,v5)))) = K(x,y * T(u / (z * K(w,v5)),z * K(w,v5))). K(x,y * (z * (u / T(z,K(w,v5))))) = K(x,y * T(u,z * K(w,v5))). x != K(y,z * (u * (w / T(u,v5)))) | x = K(y,z * T(K(v5,u) * w,u)). K(x,y * T(z,u * K(w,v5))) = K(x,y * T(K(K(w,v5),u) * z,u)). K(x,y * T(K(K(z,u),w) * v5,w)) = K(x,y * T(v5,w * K(z,u))). K(x,y * T(K(z,K(u,w)) * v5,w)) = K(x,y * T(v5,w * K(z,u))). K(x,y * T(z,u * K(w,v5))) != v6 | K(x,y * T(z,u)) = v6. K(x,y * T(z,T(u,w) \ v5)) != v6 | K(x,y * T(z,u \ v5)) = v6. K(x,y * T(z,u \ w)) = K(x,y * T(z,T(u,v5) \ w)). K(x,y * T(z,T(u,w) \ v5)) = K(x,y * T(z,u \ v5)). x != K(y,z * T(u,w)) | x = K(y,z / T(u \ 1,w)). K(x,y * T(z,T(u,w) \ v5)) = K(x,y / T(z \ 1,u \ v5)). K(x,y / T(z \ 1,u \ w)) = K(x,y * T(z,T(u,v5) \ w)). K(x,y / T(z \ 1,u * w)) = K(x,y * T(z,T(w,v5) \ u)). (K(x,y) * z) * (K(x,y) / (K(x,y) * z)) = (z * K(x,y)) * (1 / z). (K(x,y) * z) * ((K(x,y) / z) * K(y,x)) = (z * K(x,y)) * (1 / z). (K(x,y) * z) * T(1 / z,K(x,y)) = (z * K(x,y)) * (1 / z). x != K(((y \ 1) \ z) * K(u,w),v5) | x = K((y * K(u,w)) * z,v5). K((x \ K(y,z)) \ u,w) = K((x * K(z,y)) * u,w). x != K((y * K(z,u)) * w,v5) | x = K(y * (w * K(u,z)),v5). K((x \ K(y,z)) \ u,w) = K(x * (u * K(y,z)),w). x != K(y * K(z \ u,z),w) | x = K(K(u,z) * y,w). K(((x \ 1) * K(y,y \ z)) \ u,w) = K(K(z,y) * ((1 / x) \ u),w). x != K(K(y,z) * ((1 / u) \ w),v5) | x = K(u * (w * K(z,y)),v5). K(((x \ 1) * K(y,y \ z)) \ u,w) = K(x * (u * K(y,z)),w). K((x \ K(y,y \ z)) \ u,w) = K(x * (u * K(y,z)),w). x != K((y \ K(z,u)) \ w,v5) | x = K(y * (w * K(z,u)),v5). K(x * (y * K(z,u)),w) = K(x * (y * K(z,z \ u)),w). K(x * (y * K(z,z \ u)),w) = K(x * (y * K(z,u)),w). (K(x,y) * (K(z,u) * (x * w))) \ ((K(z,u) * T(x,y)) * w) = L(a(K(z,u),x,w),K(z,u) * (x * w),K(x,y)). (K(x,y) * (T(z,u) * w)) \ ((K(x,y) * T(z,u)) * w) = L(a(K(x,y),z,w),K(x,y) * (z * w),K(z,u)). L(a(K(x,y),z,u),K(x,y) * (z * u),K(z,w)) = (K(x,y) * (T(z,w) * u)) \ ((K(x,y) * T(z,w)) * u). L(a(K(x,y),z,u),K(x,y) * (z * u),K(z,w)) = a(K(x,y),T(z,w),u). x != a(K(y,z),u,w) | x = a(y,u,K(w,z)). L(a(K(x,y),z,u),K(x,y) * (z * u),K(z,w)) = a(x,T(z,w),K(u,y)). L(a(x,y,K(z,u)),K(x,u) * (y * z),K(y,w)) = a(x,T(y,w),K(z,u)). a(x,y,K(z,u)) = a(x,T(y,w),K(z,u)). a(x,T(y,z),K(u,w)) = a(x,y,K(u,w)). a(x,T(y,z),K(u,w)) * K(u,L(w,y,x)) = K(u,w). a(x,y,K(z,u)) * K(x,(u * T(y,w)) \ (y * z)) = K(x,T(y,w) \ (u \ (y * z))). a(x,y,K(z,u)) * K(u,(z * T(y,w)) \ (y * x)) = K(u,T(y,w) \ (z \ (y * x))). a(x,y,K(z,u)) * K(u,(z * y) \ (T(y,w) * x)) = K(u,T(y,w) \ (z \ (y * x))). x != (K(y,z) * K(u \ 1,w)) / (a(K(y,z) * u,v5,v5 \ 1) \ T(u \ 1,w)) | x = R(K(y,z) * u,v5,v5 \ 1). K(x,y) * (K(z \ 1,u) / (a(K(x,y) * z,w,w \ 1) \ T(z \ 1,u))) = R(K(x,y) * z,w,w \ 1). K(x,y) * (1 / (a(K(x,y) * z,u,u \ 1) \ (z \ 1))) = R(K(x,y) * z,u,u \ 1). K(x,y) / (a(K(x,y) * z,u,u \ 1) \ (z \ 1)) = R(K(x,y) * z,u,u \ 1). x != K(y,z) * a(z,u,K(y,w)) | x = K(y,L(z,u,w)). K(x,L(y,z,L(u,K(w,v5),v6))) = K(x,L(y,z,u)). K(x,L(y,z,L(u,K(w,v5),v6))) != v7 | K(x,L(y,z,u)) = v7. K(x,L(y,z,u)) * (z * (K(y,T(x,z)) * u)) = z * L(u,K(y,x),z). x != K(y,L(z,u,w)) * (u * (K(v5,v6) * w)) | x = (K(y,z) * u) * (K(v5,v6) * w). x * L(y,K(z,u),x) = (K(u,z) * x) * (K(z,T(u,x)) * y). (K(x,y) * z) * (K(y,T(x,z)) * u) = z * L(u,K(y,x),z). (x * K(y,z)) * (K(z,y) * u) = x * L(u,K(z,y),x). x * y != (x * K(z,u)) * (K(u,z) * w) | y = L(w,K(u,z),x * K(z,u)). L(x,K(y,z),u) = L(x,K(y,z),u * K(z,y)). L(x,K(y,z),u * K(z,y)) = L(x,K(y,z),u). K(x,y) * L(K(y,x) * z,K(x,y),u) = K(x,y) * (u \ ((u / K(x,y)) * z)). K(x,y) * L(K(y,x) * z,K(x,y),u) = K(x,y) * (u \ ((u * K(y,x)) * z)). x != K(y,(z * K(u,T(w,v5))) \ v6) | x = K(y,z \ (K(u,T(w,v5)) \ v6)). K(x,K(y,T(z,u)) \ (w \ v5)) = K(x,w \ (K(y,T(z,u)) \ v5)). K(x,K(y,z) \ (u \ w)) = K(x,u \ (K(z,T(y,v5)) \ w)). K(x,y \ (K(z,T(u,w)) \ v5)) = K(x,K(u,z) \ (y \ v5)). K(x,K(y,z) \ (u \ w)) = K(x,u \ (K(y,T(z,v5)) \ w)). K(x,y \ (K(z,T(u,w)) \ v5)) = K(x,K(z,u) \ (y \ v5)). x != K(y,(z \ u) \ (K(w,z) \ v5)) | x = K(y,(T(z,w) \ u) \ v5). K(x,K(y,z) \ ((T(z,u) \ w) \ v5)) = K(x,(T(T(z,u),y) \ w) \ v5). x != K(y,z \ (K(u,T(w,v5)) \ v6)) | x = K(y,z \ (K(u,w) \ v6)). K(x,K(y,z) \ (u \ w)) = K(x,u \ (K(z,y) \ w)). x != K(y,(T(z,u) \ w) \ (K(z,u) \ v5)) | x = K(y,(z \ w) \ v5). K(x,K(y,z) \ ((T(z,y) \ u) \ w)) = K(x,(z \ u) \ w). x != K(y,K(z,u) \ ((T(u,w) \ v5) \ v6)) | x = K(y,(T(T(u,w),z) \ v5) \ v6). K(x,(y \ z) \ u) = K(x,(T(T(y,w),w) \ z) \ u). K(x,(T(T(y,z),z) \ u) \ w) = K(x,(y \ u) \ w). K(x,(y \ z) \ u) = K(x,(z / T(y,z)) \ u). K(x,(y / T(z,y)) \ u) = K(x,(z \ y) \ u). K(x,(T(y,z) / z) \ u) = K(x,(z \ y) \ u). x != K(y,z \ u) | x = K(y,T(u,z) / z). K(x,(T(y,z) / z) \ u) = K(x,T(u,z \ y) / (z \ y)). K(x,T(y,z \ u) / (z \ u)) = K(x,(T(u,z) / z) \ y). K(x,(T(y,z) / z) \ u) != w | K(x,(z \ y) \ u) = w. K(x,(y / z) / K(u,w)) = K(x,y / (K(w,u) \ z)). K(x,K(y,z) \ (u / w)) = K(x,u / (K(z,y) \ w)). K(x,y / (K(z,u) \ w)) = K(x,K(u,z) \ (y / w)). x != K(y,(K(z,u) \ w) / (K(z,u) \ v5)) | x = K(y,T(v5 \ w,K(z,u) \ v5)). K(x,K(y,z) \ ((K(z,y) \ u) / w)) = K(x,T(w \ u,K(z,y) \ w)). K(x,T(y \ z,K(u,w) \ y)) = K(x,K(w,u) \ ((K(u,w) \ z) / y)). K(x,T(y \ z,y)) = K(x,K(u,w) \ ((K(w,u) \ z) / y)). K(x,y / z) = K(x,K(u,w) \ ((K(w,u) \ y) / z)). K(x,K(y,z) \ ((K(z,y) \ u) / w)) = K(x,u / w). K(x,K(y,z) \ ((z * u) / w)) = K(x,(T(z,y) * u) / w). K(x,K(y,z) * ((y * u) / w)) = K(x,(T(y,z) * u) / w). K(x,K(y,z) * (((z * y) * u) / w)) = K(x,(T(z * y,z) * u) / w). K(x,(T(y * z,z) * u) / w) != v5 | K(x,K(z,y) * (((y * z) * u) / w)) = v5. K(x,T((y / z) / K(u,w),v5)) = K(x,T(y / (K(w,u) \ z),v5)). K(x,T((y / z) * K(u,w),v5)) = K(x,T(y / (K(u,w) \ z),v5)). K(x,T(y / (K(z,u) \ w),v5)) = K(x,T((y / w) * K(z,u),v5)). x != K(y,T(z * K(u,w),v5)) | x = K(y,K(w,u) \ T(z,v5)). K(x,T(y / (K(z,u) \ w),v5)) = K(x,K(u,z) \ T(y / w,v5)). K(x,K(y,z) \ T(u / w,v5)) = K(x,T(u / (K(z,y) \ w),v5)). x != K(y,T(z / (K(u,u \ T(w,v5)) \ w),v6)) | x = K(y,T(z / ((u \ w) * u),v6)). K(x,K(y \ T(z,u),y) \ T(w / z,v5)) = K(x,T(w / ((y \ z) * y),v5)). K(x,K(y \ z,T(y,u)) \ T(w / z,v5)) = K(x,T(w / ((y \ z) * y),v5)). K(x,K(y,y \ z) \ T(u / z,w)) = K(x,T(u / ((y \ z) * y),w)). x != K(y,K(z,z \ u) \ w) | x = K(y,K(u,z) \ w). K(x,T(y / ((z \ u) * z),w)) = K(x,K(u,z) \ T(y / u,w)). x != K(y,K(z,u) \ T(w / z,v5)) | x = K(y,T(w / T(z,u),v5)). K(x,T(y / ((z \ u) * z),w)) = K(x,T(y / T(u,z),w)). K(x,y \ T(z,u)) = K(x,T(z / T(y,u),u \ y)). K(x,T(y / T(z,u),u \ z)) = K(x,z \ T(y,u)). K(x,T(y / T(z,u),u * z)) = K(x,z \ T(y,u)). K(x \ y,z / T(y,x)) = K(x \ y,y \ T(z,x)). x != K(y,(z \ 1) \ u) | x = K(y,z * u). K(x,T(y / T(z \ 1,u),u * (z \ 1))) = K(x,z * T(y,u)). K(x,T(y / T(z \ 1,u),u / z)) = K(x,z * T(y,u)). K(x,T(y / T(z \ 1,u),z * u)) = K(x,z * T(y,u)). K(x,T(y * T(z,u),z * u)) = K(x,z * T(y,u)). (K(x / y,x) * y) / z = K(x / y,x) * (((x / y) \ x) / z). K(x / y,x) * (((x / y) \ x) / z) = (K(x / y,x) * y) / z. K(x / y,x) * (((x / y) \ x) / z) = (y * K(y \ x,x)) / z. K(x \ y,y) * (((y / x) \ y) / z) = (x * K(x \ y,y)) / z. K(x \ y,y) * (x / z) = (x * K(x \ y,y)) / z. (x * K(x \ y,y)) / z = K(x \ y,y) * (x / z). x != K(y,z * ((K(u,w) * v5) / v6)) | x = K(y,z * (K(u,w) * (v5 / v6))). K(x,y * ((z * K(u,w)) / v5)) = K(x,y * (K(u,w) * (z / v5))). x != K(y,z * (K(u \ w,u) * (u / v5))) | x = K(y,z * (T(u,w) / v5)). K(x,y * ((z * K(z \ u,z)) / w)) = K(x,y * (T(z,u) / w)). x != K(y,z * ((u * K(w,T(v5,v6))) / v6)) | x = K(y,z * (u / (K(v5,w) * v6))). K(x,y * (K(z,T(u,w)) * (v5 / w))) = K(x,y * (v5 / (K(u,z) * w))). K(x,y * ((T(z / u,w) \ z) / v5)) = K(x,y * (K(w,u \ z) * (u / v5))). K(x,y * (K(z,u) * (w / v5))) = K(x,y * (w / (K(u,z) * v5))). K(x,y * (z / (K(u,w) * v5))) = K(x,y * (K(w,u) * (z / v5))). K(x,y * (z / (u * K(w,v5)))) = K(x,y * (K(v5,w) * (z / u))). x != K(y,z * ((u * T(w / T(u,K(v5,v6)),K(v5,v6))) / (u * K(v5,v6)))) | x = K(y,z * T(w / (u * K(v5,v6)),u * K(v5,v6))). K(x,y * (K(z,u) * ((w * T(v5 / T(w,K(u,z)),K(u,z))) / w))) = K(x,y * T(v5 / (w * K(u,z)),w * K(u,z))). K(x,y * (K(z,u) * T((w * (v5 / T(w,K(u,z)))) / w,K(u,z)))) = K(x,y * T(v5 / (w * K(u,z)),w * K(u,z))). K(x,y * (K(z,u) * T((w * (v5 / w)) / T(w,K(u,z)),K(u,z)))) = K(x,y * T(v5 / (w * K(u,z)),w * K(u,z))). K(x,y * (((z * (u / z)) / T(z,K(w,v5))) * K(v5,w))) = K(x,y * T(u / (z * K(w,v5)),z * K(w,v5))). K(x,y * (((z * (u / z)) / z) * K(w,v5))) = K(x,y * T(u / (z * K(v5,w)),z * K(v5,w))). K(x,y * T(z / (u * K(w,v5)),u * K(w,v5))) = K(x,y * (((u * (z / u)) / u) * K(v5,w))). x != K(y,z * (((u * w) / u) * v5)) | x = K(y,z * (T(w,u) * v5)). K(x,y * T(z / (u * K(w,v5)),u * K(w,v5))) = K(x,y * (T(z / u,u) * K(v5,w))). K(x,y * T(z / (u * K(w,v5)),u * K(w,v5))) = K(x,y * ((u \ z) * K(v5,w))). K(x,y * ((z * K(u,w)) \ v5)) = K(x,y * ((z \ v5) * K(w,u))). K(x,y * ((z * ((u * w) / u)) \ v5)) = K(x,y * (((z * w) \ v5) * K(w,u))). K(x,y * ((z * ((u \ w) * u)) \ v5)) = K(x,y * (((z * w) \ v5) * K(u,u \ w))). K(x,y * (((z * u) \ w) * K(v5,v5 \ u))) = K(x,y * ((z * ((v5 \ u) * v5)) \ w)). K(x,y * ((z \ u) * K(w,v5))) * K(x,K(y,z \ u)) = K(x,((z * K(v5,w)) \ u) * y). K(x,(y \ z) * (K(u,w) * v5)) = K(x,((y * K(w,u)) \ z) * v5). K(x,((y * K(z,u)) \ w) * v5) = K(x,(y \ w) * (K(u,z) * v5)). K(x,((y * T(z,u)) \ w) * v5) = K(x,((y * z) \ w) * (K(u,z) * v5)). K(x,((y * z) \ u) * (K(w,z) * v5)) = K(x,((y * T(z,w)) \ u) * v5). K(x,((y * ((z \ u) * z)) \ w) * v5) = K(x,((y * u) \ w) * (K(z,z \ u) * v5)). K(x,((y * z) \ u) * (K(w,w \ z) * v5)) = K(x,((y * ((w \ z) * w)) \ u) * v5). x != K(y,z * (u * K(w,w \ v5))) | x = K(y,z * (u * K(v5,w))). K(x,y * ((z * ((u \ w) * u)) \ v5)) = K(x,y * (((z * w) \ v5) * K(w,u))). K(x \ 1,y * x) * (((y * x) * ((y * x) \ y)) / z) = (y * K(x \ 1,y * x)) / z. K(x \ 1,y * x) * (y / z) = (y * K(x \ 1,y * x)) / z. (x * K(y \ 1,x * y)) / z = K(y \ 1,x * y) * (x / z). K(x,K(y \ 1,z * y) * (z / u)) = K(x,T(z,y) / u). K(x,(y / z) * K(u,y * u)) = K(x,T(y,u) / z). K(x,y * (z \ K(u,y * u))) = K(x,T(y,u) / z). x != K(y,z * (u \ K(w,z * w))) | x = K(y,T(z,w \ 1) / u). K(x,T(y,z) / u) = K(x,T(y,z \ 1) / u). K(x,T(y,z \ 1) / u) = K(x,T(y,z) / u). x != K(y,T(z,u \ 1) / w) | x = K(y,T(z,v5 \ (u \ v5)) / w). K(x,T(y,z) / u) = K(x,T(y,w \ (z \ w)) / u). K(x,T(y,z \ (u \ z)) / w) = K(x,T(y,u) / w). K(x,L(a(y,z,u) \ (w / v5),w,v5)) = K(x,w / (L(v5,z,K(y,u)) * a(y,z,u))). x \ (y * (z / y)) = (x \ z) * K(y,y \ z). (x \ y) * K(z,z \ y) = x \ (z * (y / z)). T(x,y \ (z * (u / z))) = T(x,K(u,z) * (y \ u)). K(x,y * (z \ (u * (w / u)))) = K(x,y * ((z \ w) * K(w,u))). K(x,(y \ (z * (u / z))) / w) = K(x,(y \ u) * (w \ K(z,z \ u))). K(x,(y \ z) * (u \ K(w,w \ z))) = K(x,(y \ (w * (z / w))) / u). x != K(y,z * (u \ K(w,w \ v5))) | x = K(y,z * (u \ K(w,v5))). K(x,(y \ (z * (u / z))) / w) = K(x,(y \ u) * (w \ K(z,u))). K(x,y * (z \ (u * (w / u)))) = K(x,y * (z \ T(w,u))). K(x,y * (z \ (u * w))) = K(x,y * (z \ T(w * u,u))). K(x,y * (z \ T(u * w,w))) = K(x,y * (z \ (w * u))). x != K(y,z * (u \ T(w * v5,v5))) | x = K(y,z * (u \ T(w * v5,w \ 1))). K(x,y * (z \ (u * w))) = K(x,y * (z \ T(w * u,w \ 1))). K(x,y * (z \ T(u * w,u \ 1))) = K(x,y * (z \ (w * u))). x != K(y,z * (u \ T(w,v5 \ v6))) | x = K(y,z * (u \ T(w,v5 * v6))). K(x,y * (z \ (u * w))) = K(x,y * (z \ T(w * u,w * 1))). K(x,y * (z \ T(u * w,u * 1))) = K(x,y * (z \ (w * u))). K(x,y * (z \ T(u * w,u))) = 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 \ T(z * u,z)) * (w \ 1)) = K(x,(w \ K(y \ T(z * u,z),w \ 1)) * (y \ (u * z))). K(x,(y \ K(z \ T(u * w,u),y \ 1)) * (z \ (w * u))) = K(x,(z \ T(u * w,u)) * (y \ 1)). K(x,(y \ K(z \ T(u * w,u),y \ 1)) * (z \ (w * u))) = K(x,(z \ T(u * w,u)) / y). K(x,(y \ K(z \ (u * w),y \ 1)) * (z \ (u * w))) = K(x,(z \ T(w * u,w)) / y). K(x,(y \ (z * u)) * (w \ 1)) = K(x,(y \ T(u * z,u)) / w). K(x,(y \ T(z * u,z)) / w) = K(x,(y \ (u * z)) * (w \ 1)). K(x,(y \ T(z * u,z)) / w) != v5 | K(x,(y \ (u * z)) / w) = v5. x != K(y,T(z,u) * u) | x = K(y,u * z). K(x,T(y,z \ ((u \ w) * u)) * (z \ T(w,u))) = K(x,(z \ ((u \ w) * u)) * y). K(x,y * T(a(z,u,w) \ (v5 \ v6),v5)) = K(x,y * ((a(z,u,w) * v5) \ T(v6,v5))). K(x,y * ((a(z,u,w) * v5) \ T(v6,v5))) = K(x,y * T(a(z,u,w) \ (v5 \ v6),v5)). K(x,T(y,z \ T(u,w)) * (z \ T(u,w))) = K(x,(z \ ((w \ u) * w)) * y). K(x,(y \ ((z \ u) * z)) * w) = K(x,(y \ T(u,z)) * w). K(x,(y \ (K(z \ u,z) * z)) * w) = K(x,(y \ T(u / (u / z),z)) * w). K(x,(y \ T(z / (z / u),u)) * w) = K(x,(y \ (K(u \ z,u) * u)) * w). K(x,(y \ T(z / (z / u),u)) * w) = K(x,(y \ (u * K(u \ z,u))) * w). K(x,(y \ T(z / (z / u),u)) * w) = K(x,((y \ u) * K(u \ z,u)) * w). x != T(y,K(z,u) * (w \ z)) | x = T(y,w \ T(z,u)). T(x,y \ (z * (u / z))) = T(x,y \ T(u,z)). K(x,L(y * (K(z,y) * (u \ 1)),w,v5)) != v6 | K(x,L(((z * y) / z) / u,w,v5)) = v6. K(x,L(y * T((z \ u) \ 1,u),w,v5)) != v6 | K(x,L(y / (z \ T(u,u \ z)),w,v5)) = v6. K(x,y * ((z / (z / u)) / w)) = K(x,y * (T(u,z) / w)). x != K(y,z * ((u / (u / w)) / T(v5,w))) | x = K(y,z * (v5 \ (u / (u / w)))). K(x,y * (T(z,u) / T(w,z))) = K(x,y * (w \ (u / (u / z)))). K(x,y * (z \ (u / (u / w)))) = K(x,y * (T(w,u) / T(z,w))). x != K(y,z * (T(u,w) / T(v5,u))) | x = K(y,z * (v5 \ T(u,w))). K(x,y * (z \ (u / (u / w)))) = K(x,y * (z \ T(w,u))). x != y \ (z * (a(u,w,K(v5,v6)) * (z \ y))) | x = K(a(u,w,v5),L(T(v6,y),z,z \ y)). a(x,y,K(z,L(u,w,v5))) = K(a(u,y,x),L(T(z,w),v5,v5 \ w)). K(a(x,y,z),L(T(u,w),v5,v5 \ w)) = a(z,y,K(u,L(x,w,v5))). a(x,y,K(z,L(T(u,w),v5,v5 \ w))) = a(z,y,K(u,L(x,w,v5))). a(x,y,K(z,L(u,w,v5))) * K(x,u) = K(x,L(u,y,L(T(z,w),v5,v5 \ w))). K(x,L(y,z,L(T(u,w),v5,v5 \ w))) = a(x,z,K(u,L(y,w,v5))) * K(x,y). x != a(y,z,K(u,L(w,v5,v6))) * K(y,w) | x = K(y,L(w,z,L(u,v5,v6))). K(x,L(y,z,L(T(u,w),v5,v5 \ w))) = K(x,L(y,z,L(u,w,v5))). K(x,L(y,z,L(u,w,w \ v5))) = K(x,L(y,z,L(u,v5,w))). K(x,L(y,z * u,z \ 1)) = K(x,L(y,u,z \ 1)). K(x,L(y,z,u \ 1)) = K(x,L(y,u \ z,u \ 1)). K(x,L(y,z \ u,z \ 1)) = K(x,L(y,u,z \ 1)). K(x,((y \ 1) * (y * z)) \ ((y \ 1) * u)) = K(x,L((y * z) \ u,z,y \ 1)). K(x,L((y * z) \ u,z,y \ 1)) = K(x,((y \ 1) * (y * z)) \ ((y \ 1) * u)). K(x,L(y,R(z,u,u \ 1),z \ 1)) = K(x,L(y,a(z,u,u \ 1),z \ 1)). K(x,L(y,R(z,u,u \ 1),z \ 1)) != w | K(x,y) = w. K(x,L(y,z,z \ 1) \ ((z \ 1) * u)) = K(x,L((z * y) \ u,y,z \ 1)). K(x,L((y * z) \ u,z,y \ 1)) = K(x,L(z,y,y \ 1) \ ((y \ 1) * u)). x != K(y,L((z * u) \ w,u,z \ 1)) | x = K(y,u \ (z \ w)). K(x,L(y,z,z \ 1) \ ((z \ 1) * u)) = K(x,y \ (z \ u)). x != K(y,L(z,u,u \ 1) \ ((u \ 1) * w)) | x = K(y,L((u * z) \ w,w,u \ 1)). K(x,y \ (z \ u)) = K(x,L((z * y) \ u,u,z \ 1)). K(x,L((y * z) \ u,u,y \ 1)) = K(x,z \ (y \ u)). K(x,(y * z) \ L(y,u,w)) = K(x,z \ (y \ L(y,u,w))). K(x,L((y * z) \ R(y,u,u \ 1),R(y,u,u \ 1),y \ 1)) = K(x,z \ a(y,u,u \ 1)). K(x,(y * z) \ R(y,u,u \ 1)) = K(x,z \ a(y,u,u \ 1)). K(x,(y * z) \ L(y,u,u \ 1)) = K(x,z \ a(y,u,u \ 1)). K(x,y \ 1) = K(x,y \ a(z,y,y \ 1)). K(x,y \ a(z,y,y \ 1)) = K(x,y \ 1). a(x,y,y \ 1) * K(y,y \ 1) = y * (a(x,y,y \ 1) / y). K(x,x \ 1) * a(y,x,x \ 1) = x * (a(y,x,x \ 1) / x). x != K(y,z) * a(u,w,w \ 1) | x = (a(u,w,w \ 1) \ y) \ T(y,z). x * (a(y,x,x \ 1) / x) = (a(y,x,x \ 1) \ x) \ T(x,x \ 1). (a(x,y,y \ 1) \ y) \ T(y,y \ 1) = y * (a(x,y,y \ 1) / y). (x \ 1) * (x * (a(y,x,x \ 1) / x)) = (1 / x) * a(y,x,x \ 1). (x * (a(y,x,x \ 1) / x)) \ 1 != z | a(y,x,x \ 1) \ K(x \ 1,x) = z. (a(x,y,y \ 1) \ y) \ ((y \ 1) \ 1) = y * (a(x,y,y \ 1) / y). x != (a(y,z,z \ 1) \ z) \ ((z \ 1) \ 1) | x = L(z,z \ 1,z * y) \ z. x * (a(y,x,x \ 1) / x) = L(x,x \ 1,x * y) \ x. L(x,x \ 1,x * y) \ x = x * (a(y,x,x \ 1) / x). L(x,x \ 1,y * x) \ x = x * (a(y,x,x \ 1) / x). L(x,x \ 1,y * x) \ 1 = a(y,x,x \ 1) / x. L(x,x \ 1,y) \ 1 = a(x \ y,x,x \ 1) / x. a(x \ y,x,x \ 1) / x = L(x,x \ 1,y) \ 1. (L(x,x \ 1,y) \ 1) * x = a(x \ y,x,x \ 1). K(x \ 1,T(x * a((x \ 1) \ y,x \ 1,(x \ 1) \ 1),z)) * T(a((x \ 1) \ y,x \ 1,(x \ 1) \ 1),z) = T((x \ 1) * (L(x \ 1,(x \ 1) \ 1,y) \ 1),z). K(x \ 1,T(x * a((x \ 1) \ y,x \ 1,x),z)) * T(a((x \ 1) \ y,x \ 1,(x \ 1) \ 1),z) = T((x \ 1) * (L(x \ 1,(x \ 1) \ 1,y) \ 1),z). K(x \ 1,T(x,y)) * T(a((x \ 1) \ z,x \ 1,(x \ 1) \ 1),y) = T((x \ 1) * (L(x \ 1,(x \ 1) \ 1,z) \ 1),y). K(x \ 1,x) * T(a((x \ 1) \ y,x \ 1,(x \ 1) \ 1),z) = T((x \ 1) * (L(x \ 1,(x \ 1) \ 1,y) \ 1),z). K(x \ 1,x) * T(a((x \ 1) \ y,x \ 1,x),z) = T((x \ 1) * (L(x \ 1,(x \ 1) \ 1,y) \ 1),z). T((x \ 1) * (L(x \ 1,(x \ 1) \ 1,y) \ 1),z) = K(x \ 1,x) * T(a((x \ 1) \ y,x \ 1,x),z). T((x \ 1) * (L(x \ 1,(x \ 1) \ 1,y) \ 1),z) = K(x \ 1,x) * a((x \ 1) \ y,x \ 1,x). x != a(y,z,(u \ 1) \ w) | x = a(y,z,(1 / u) \ w). (L(x \ 1,(x \ 1) \ 1,y) \ 1) * (x \ 1) = a((x \ 1) \ y,x \ 1,(1 / x) \ 1). x != (L(y,y \ 1,(y \ 1) \ z) \ 1) * y | x = (z \ (z / (y \ 1))) \ y. a(x \ ((x \ 1) \ y),x,x \ 1) = (y \ (y / (x \ 1))) \ x. (L((x \ y) \ 1,((x \ y) \ 1) \ 1,x) \ 1) * ((x \ y) \ 1) = a(x / T((x \ y) \ 1,y),(x \ y) \ 1,((x \ y) \ 1) \ 1). a(x / T((x \ y) \ 1,y),(x \ y) \ 1,((x \ y) \ 1) \ 1) = (L((x \ y) \ 1,((x \ y) \ 1) \ 1,x) \ 1) * ((x \ y) \ 1). K(x,y * (T(z,L(z,z \ 1,u) \ 1) * (L(z,z \ 1,u) \ 1))) = K(x,y * a(z \ u,z,z \ 1)). K(x,y * (T(z,z \ 1) * (L(z,z \ 1,u) \ 1))) = K(x,y * a(z \ u,z,z \ 1)). K(x,y * (L(z,z \ 1,u) \ T(z,z \ 1))) = K(x,y * a(z \ u,z,z \ 1)). K(x,y * (z * (1 / L(z,z \ 1,u)))) = K(x,y * a(z \ u,z,z \ 1)). x != K(y,z * (u * (1 / w))) | x = K(y,z * (u * (w \ 1))). K(x,y * a(z \ u,z,z \ 1)) = K(x,y * (z * (L(z,z \ 1,u) \ 1))). K(x,y * (z * (L(z,z \ 1,u) \ 1))) = K(x,y * a(z \ u,z,z \ 1)). K(x,y * (L(z,z \ 1,u) \ z)) = K(x,y * a(z \ u,z,z \ 1)). a(x / T((x \ y) \ 1,y),(x \ y) \ 1,((x \ y) \ 1) \ 1) = (L((x \ y) \ 1,x \ y,x) \ 1) * ((x \ y) \ 1). a(x / T((x \ y) \ 1,y),(x \ y) \ 1,((x \ y) \ 1) \ 1) = ((y \ x) \ 1) * ((x \ y) \ 1). x != ((y \ z) \ 1) * ((z \ y) \ 1) | x = (y \ z) \ (1 / (z \ y)). a(x / T((x \ y) \ 1,y),(x \ y) \ 1,((x \ y) \ 1) \ 1) = (y \ x) \ (1 / (x \ y)). (L(x \ 1,x,y) \ 1) * (x \ 1) = a((x \ 1) \ y,x \ 1,(1 / x) \ 1). a((x \ 1) \ y,x \ 1,(1 / x) \ 1) = (L(x \ 1,x,y) \ 1) * (x \ 1). x != (L(y \ 1,z,u) \ 1) * (y \ 1) | x = L(y \ 1,z,u) \ (1 / y). a((x \ 1) \ y,x \ 1,(1 / x) \ 1) = L(x \ 1,x,y) \ (1 / x). a((x \ 1) \ y,x \ 1,x) = L(x \ 1,x,y) \ (1 / x). L(x \ 1,x,y) \ (1 / x) = a((x \ 1) \ y,x \ 1,x). x * y != L(z \ 1,z,u) \ (1 / z) | a((z \ 1) \ u,z \ 1,z) / y = x. a((x \ 1) \ y,x \ 1,x) / (1 / x) = L(1 / x,x,y) \ 1. a(x,y \ 1,y) / (1 / y) = L(1 / y,y,x * (y \ 1)) \ 1. L(1 / x,x,y * (x \ 1)) \ 1 = a(y,x \ 1,x) / (1 / x). x != K(y,(z * u) \ L(z,w,w \ 1)) | x = K(y,u \ a(z,w,w \ 1)). K(x,y \ (z \ L(z,u,u \ 1))) = K(x,y \ a(z,u,u \ 1)). (x \ y) * K(z,L(u,y,x \ 1)) = x \ (y * K(z,u)). (x \ y) * z != x \ (y * K(u,y \ (x * w))) | z = K(u,(x \ y) \ w). K(x,L(y \ (z * u),y,z \ 1)) = K(x,(z \ y) \ u). K(x,L((y / K(z,L(u,w,v5 \ 1))) / (v5 \ w),y,K(z,L(u,w,v5 \ 1)))) = K(x,y / (v5 \ (w * K(z,u)))). K(x,L((y * K(L(z,u,w \ 1),v5)) / (w \ u),y,K(v5,L(z,u,w \ 1)))) = K(x,y / (w \ (u * K(v5,z)))). a(x,y,K(z,L(u \ 1,w,v5))) != v6 | a(u,y,K(z,L(x,w,v5))) = v6. K(K(x,y),((z \ T(x,y)) * u) \ (z \ x)) = K((z \ x) \ (z \ T(x,y)),u \ ((z \ T(x,y)) \ (z \ x))). K((x \ y) \ (x \ T(y,z)),u \ ((x \ T(y,z)) \ (x \ y))) = K(K(y,z),((x \ T(y,z)) * u) \ (x \ y)). K(L(x,y,x \ z),u) = K(L(x,y,z),u). K(L(x,y,x \ z),u) = K(x,L(u,y,z)). K(x,L(y,z,x \ u)) = K(x,L(y,z,u)). x != K(y,L(T(z,u),w,y \ (w \ u))) | x = K(u / ((u / (w * y)) * w),z). K(x,L(T(y,z),u,u \ z)) = K(z / ((z / (u * x)) * u),y). K(x / ((x / (y * z)) * y),u) = K(z,L(T(u,x),y,y \ x)). x * K(y,L(z,u,u \ x)) = (x / (u * y)) * (u * T(y,z)). (x / (y * z)) * (y * T(z,u)) = x * K(z,L(u,y,y \ x)). a(x,y,K(z,u)) * w != K(z,u) | w = K(z,L(u,y,x)). K(x,L(y,z,u)) = K(x,L(y,T(z,w),u)). K(x,L(y,T(z,u),w)) = K(x,L(y,z,w)). (T(x,y) * z) * K(u,L(w,x,z)) = z * (T(T(x,y),z) * K(u,w)). K(x,L((y * K(z,L(u,w,v5 \ 1))) / (v5 \ w),y,K(u,L(z,w,v5 \ 1)))) = K(x,y / (v5 \ (w * K(u,z)))). K(x,(y * K(z,L(u,w,v5 \ 1))) / (v5 \ w)) = K(x,y / (v5 \ (w * K(u,z)))). K(x,y * ((z \ u) \ K(w,L(v5,u,z \ 1)))) = K(x,y / (z \ (u * K(v5,w)))). K(x,y / (z \ (u * K(w,v5)))) = K(x,y * ((z \ u) \ K(v5,w))). x != K(y,z / (u \ (w * K(v5,v6)))) | x = K(y,z / (u \ (K(v5,v6) * w))). K(x,y * ((z \ u) \ K(w,v5))) = K(x,y / (z \ (K(v5,w) * u))). K(x,y / (z \ (K(u,w) * v5))) = K(x,y * ((z \ v5) \ K(w,u))). x != K(y,z / (u \ (K(w,v5) * v6))) | x = K(y,z / ((K(w,v5) \ u) \ v6)). K(x,y * ((z \ u) \ K(w,v5))) = K(x,y / ((K(v5,w) \ z) \ u)). K(x,y / ((K(z,u) \ w) \ v5)) = K(x,y * ((w \ v5) \ K(u,z))). K(x,y / ((T(z,u) / w) \ v5)) = K(x,y * (((z / w) \ v5) \ K(z,u))). K(x,y * (((z / u) \ w) \ K(z,v5))) = K(x,y / ((T(z,v5) / u) \ w)). K(x,y / ((z \ u) \ w)) = K(x,y / ((T(u,z) / z) \ w)). K(x,y / ((T(z,u) / u) \ w)) = K(x,y / ((u \ z) \ w)). K(x,y / ((z / T(u,z)) \ w)) = K(x,y / ((u \ z) \ w)). K(x,L(y \ (z * u),z * u,z \ 1)) = K(x,(z \ y) \ u). x != K(y,L(z,u * w,u \ 1)) | x = K(y,L(z,w,u \ 1)). K(x,(y \ z) \ u) = K(x,L(z \ (y * u),u,y \ 1)). K(x,L(y \ (z * u),u,z \ 1)) = K(x,(z \ y) \ u). K(x,(y \ z) \ a(u,w,v5)) != v6 | K(x,z \ (y * a(u,w,v5))) = v6. x != (T(y,z) * u) * K(w,L(v5,y,u)) | x = (K(y,z) * u) * (T(y,u) * K(w,v5)). x * (T(T(y,z),x) * K(u,w)) = (K(y,z) * x) * (T(y,x) * K(u,w)). (K(x,y) * z) * (T(x,z) * K(u,w)) = z * (T(T(x,y),z) * K(u,w)). x != (K(y,K(z,u)) * w) * (T(y,w) * K(z,u)) | x = (y * K(z,T(u,y * w))) * w. x * (T(T(y,K(z,u)),x) * K(z,u)) = (y * K(z,T(u,y * x))) * x. (x * K(y,T(z,x * u))) * u = u * (T(T(x,K(y,z)),u) * K(y,z)). ((K(x,y) * z) * K(y,T(x,(K(x,y) * z) * u))) * u = u * (T(z / K(y,x),u) * K(y,x)). ((K(x,y) * z) * K(y,T(x,z * u))) * u = u * (T(z / K(y,x),u) * K(y,x)). (K(x,y) * (z * K(y,T(x,z * u)))) * u = u * (T(z / K(y,x),u) * K(y,x)). T(x * K(y,K(z,x * u)),K(y,z)) * u = u * (T(x / K(y,z),u) * K(y,z)). x != T(y * K(z,K(u,w)),v5) * v6 | x = T(y,v5) * (v6 * K(z,K(u,w))). x * (T(y / K(z,u),x) * K(z,u)) = T(y,K(z,u)) * (x * K(z,K(u,y * x))). T(x,K(y,z)) * (u * K(y,K(z,x * u))) = u * (T(x / K(y,z),u) * K(y,z)). x != T(y,z) * (u * K(w,K(v5,y * u))) | x = T(T(y,z) * u,K(w,v5)). x * (T(y / K(z,u),x) * K(z,u)) = T(T(y,K(z,u)) * x,K(z,u)). x * (T(y * K(z,u),x) * K(u,z)) = T(T(y,K(u,z)) * x,K(u,z)). x * (K(y,z) * T(K(z,y) * u,x)) = T(T(u,K(y,z)) * x,K(y,z)). K(x / ((x / (y * (y \ z))) * y),u) = K(y \ z,L(T(u,x),z,y \ x)). K(x \ y,L(T(z,u),y,x \ u)) = K(u / ((u / (x * (x \ y))) * x),z). K(x \ y,L(T(z,u),y,x \ u)) = K(u / ((u / y) * x),z). x != K(y \ z,L(T(u,w),z,y \ w)) | x = K(((w / y) * z) / w,u). K(x / ((x / y) * z),u) = K(((x / z) * y) / x,u). K(((x / y) * z) / x,u) = K(x / ((x / z) * y),u). x / (K(y / ((y / z) * u),w) * x) = K(w,((y / u) * z) / y). K(x,y / ((y / z) * u)) = K(x,((y / u) * z) / y). K(x,((y / z) * u) / y) = K(x,y / ((y / u) * z)). x != K(y,z / (u * (w \ z))) | x = K(y,L(w / u,w,w \ z)). K(x,((y / (z \ y)) * u) / y) = K(x,L(z / (y / u),z,z \ y)). K(x,L(y / (z / u),y,y \ z)) = K(x,((z / (y \ z)) * u) / z). K(x,L(y / (z / u),y,y \ z)) = K(x,(y * u) / z). x != K(y,L(z,u,T(w,v5) \ v6)) | x = K(y,L(z,u,w \ v6)). K(x,(T(y,z) * u) / w) = K(x,L(T(y,z) / (w / u),T(y,z),y \ w)). K(x,L(T(y,z) / (u / w),T(y,z),y \ u)) = K(x,(T(y,z) * w) / u). x * y != K(z,L(u / (w / v5),u,u \ w)) | x \ K(z,(u * v5) / w) = y. a((x / y) \ z,z,K(u,z \ x)) \ K(u,(z * y) / x) = K(u,z / (x / y)). K(x,L(y / (z * u),y,y \ z)) = K(x,(y * L(u \ 1,u,z)) / z). K(x,L((y * K(z,y)) / (u / w),y * K(z,y),(y * K(z,y)) \ u)) = K(x,(y * (K(z,y) * w)) / u). K(x,L(a(y,z,z \ 1) / (u / w),a(y,z,z \ 1),a(y,z,z \ 1) \ u)) = K(x,(w * a(y,z,z \ 1)) / u). (x / y) \ (x / L(T(y,z),u,K(z,(w * v5) / v6))) = K(z,L(y,u,L(w / (v6 / v5),w,w \ v6) \ 1)). K(x,L(y,z,L(u / (w / v5),u,u \ w) \ 1)) = (v6 / y) \ (v6 / L(T(y,x),z,K(x,(u * v5) / w))). K(x,L(a(y,z,K(u,w)) / (v5 / (v6 * u)),a(y,z,K(u,w)),a(y,z,K(u,w)) \ v5)) = K(x,(v6 * L(u,z,K(w,y))) / v5). K(x,L(y,z,L(u / (w / v5),u,u \ w) \ 1)) = (v6 / y) \ (v6 / T(y,L(x,z,(u * v5) \ w))). x != (y / z) \ (y / T(z,u)) | x = K(u,z). K(x,L(y,z,L(u / (w / v5),u,u \ w) \ 1)) = K(L(x,z,(u * v5) \ w),y). K(x,L(y,z,L(u / (w / v5),u,u \ w) \ 1)) = K(x,L(y,z,(u * v5) \ w)). K(x,L(y,z,L((u / (w / v5)) \ 1,u,u \ w))) = K(x,L(y,z,(u * v5) \ w)). x != K(y,L(z,u,L(w,v5,v5 \ v6))) | x = K(y,L(z,u,L(w,v6,v5))). K(x,L(y,z,(u * w) \ v5)) = K(x,L(y,z,L((u / (v5 / w)) \ 1,v5,u))). K(x,L(y,z,L((u / (w / v5)) \ 1,w,u))) = K(x,L(y,z,(u * v5) \ w)). K(x,L(y,z,L(u \ (w / v5),w,u))) = K(x,L(y,z,(u * v5) \ w)). x != K(y,L(z,T(u,w),v5)) | x = K(y,L(z,u,v5)). K(x,(T(y,z) * u) / w) = K(x,L(T(y,z) / (w / u),y,y \ w)). K(x,L(T(y,z) / (u / w),y,y \ u)) = K(x,(T(y,z) * w) / u). K(x,a(y,z,K(u,w)) / (v5 / (v6 * u))) = K(x,(v6 * L(u,z,K(w,y))) / v5). K(x,(y / (z * u)) \ a(w,v5,K(u,v6))) = K(x,(z * L(u,v5,K(v6,w))) / y). K(x,(y / (z * u)) \ 1) = K(x,(z * L(u,w,K(v5,v6))) / y). K(x,(y * L(z,u,K(w,v5))) / v6) = K(x,(v6 / (y * z)) \ 1). K(x,(y * L(z,u,K(w,v5))) / v6) = K(x,(y * z) / v6). K(x,a(y,z,z \ 1) / (u / w)) = K(x,(w * a(y,z,z \ 1)) / u). K(x,(y * a(z,u,u \ 1)) / w) = K(x,a(z,u,u \ 1) / (w / y)). x != K(y,a(z,u,w) / v5) | x = K(y,v5 \ a(z,u,w)). K(x,(y * a(z,u,u \ 1)) / w) = K(x,(w / y) \ a(z,u,u \ 1)). K(x,(a(y,z,z \ 1) * u) / w) = K(x,(w / u) \ a(y,z,z \ 1)). K(x,y / (z * u)) * a(x,y,K(y \ z,(z * u) \ y)) = K(x,(y * L(u \ 1,u,z)) / z). K(x,y / (z * u)) * a(x,y,K(y \ z,u \ (z \ y))) = K(x,(y * L(u \ 1,u,z)) / z). a((x \ y) \ z,z,K(u,z \ y)) \ K(u,(z * x) / y) = K(u,z / (y / x)). a(x,y,K((z \ u) \ y,y \ u)) * K(x,(y * z) / u) = K(x,y / (u / z)). K(x,L(y,(z \ u) \ 1,((z \ u) \ 1) \ z)) = K(x,L(y,z,u)). K(x,L(y,(z \ u) \ 1,z * (z \ u))) = K(x,L(y,z,u)). K(x,L(y,(z \ u) \ 1,u)) = K(x,L(y,z,u)). x != K((y \ z) \ u,L(w,z,y)) | x = K(z \ (y * u),w). 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,z)),w). K(x \ (y * T(z * u,u)),w) = K(x \ (y * (u * z)),w). x / (K(y \ (z * T(u,w)),v5) * x) = K(v5,y \ (z * (w * (u / w)))). K(x,y \ (z * (u * (w / u)))) = v5 / (K(y \ (z * T(w,u)),x) * v5). K(x \ (y * ((z \ 1) * ((u * z) / (z \ 1)))),w) = K(x \ (y * (((u * z) \ u) \ u)),w). K(x \ (y * (((z * u) \ z) \ z)),w) = K(x \ (y * ((u \ 1) * ((z * u) / (u \ 1)))),w). K(x,y \ (z * (u * (w / u)))) = K(x,y \ (z * T(w,u))). x != K(y,(z * ((u \ w) \ 1)) \ (z * (w * (u / w)))) | x = K(y,L(T(((u \ w) \ 1) \ u,w * (u / w)),w * (u / w),z)). K(x,(y * ((z \ u) \ 1)) \ (y * T(z,u))) = K(x,L(T(((z \ u) \ 1) \ z,u * (z / u)),u * (z / u),y)). K(x,L(T(((y \ z) \ 1) \ y,z * (y / z)),z * (y / z),u)) = K(x,(u * ((y \ z) \ 1)) \ (u * T(y,z))). K(x,L(T(((y \ z) \ 1) \ y,T(y,z)),z * (y / z),u)) = K(x,(u * ((y \ z) \ 1)) \ (u * T(y,z))). K(x,L(T(((y \ z) \ 1) \ y,y),z * (y / z),u)) = K(x,(u * ((y \ z) \ 1)) \ (u * T(y,z))). x * (T(x \ y,z) * K(u,K(w,y))) = T(x * T(x \ y,z),K(u,w)). x * (T(x \ y,z) * K(y,K(u,w))) = T(x * T(x \ y,z),K(u,w)). x * T(K(y,K(z,u)) * (x \ y),w) = T(x * T(x \ y,w),K(z,u)). x * T(x \ T(y,K(z,u)),w) = T(x * T(x \ y,w),K(z,u)). x != (y * K(z,u)) * T((y * K(z,u)) \ T(w,K(z,u)),y) | x = ((K(z,u) * y) \ w) * (y * K(z,u)). T((x * K(y,z)) * T((x * K(y,z)) \ u,x),K(y,z)) = ((K(y,z) * x) \ u) * (x * K(y,z)). T(x * (K(y,z) * T(K(y,z) \ (x \ u),x)),K(y,z)) = ((K(y,z) * x) \ u) * (x * K(y,z)). T(x * (K(y,z) * T(K(z,y) * (x \ u),x)),K(y,z)) = ((K(y,z) * x) \ u) * (x * K(y,z)). T(T(T(x \ y,K(z,u)) * x,K(z,u)),K(z,u)) = ((K(z,u) * x) \ y) * (x * K(z,u)). ((K(x,y) * z) \ u) * (z * K(x,y)) = T(z \ u,K(x,y)) * z. ((x \ (K(y,z) * u)) * x) * K(z,y) = T(x \ u,K(z,y)) * x. x != K(y \ z,(y * u) / T(z,y)) | x = K(z / y,(y \ T(z,y)) \ u). K(x \ y,y \ T(x * z,x)) = K(y / x,(x \ T(y,x)) \ z). K(x / y,(y \ T(x,y)) \ z) = K(y \ x,x \ T(y * z,y)). K(x / y,(y \ T(x,y)) \ z) = K(y \ x,x \ (z * y)). x != K(y,(z \ T(u,z)) \ w) | x = K(y,(u / z) \ w). K(x \ y,y \ (z * x)) = K(y / x,(y / x) \ z). K(x / y,(x / y) \ z) = K(y \ x,x \ (z * y)). (x \ T(y,x)) * (z / (x \ T(y,x))) = z * K(x \ y,y \ (z * x)). x * K(y \ z,z \ (x * y)) = (z / y) * (x / (z / y)). x != y * K(z \ u,u \ (y * z)) | x = (u / z) * (y / (u / z)). (x \ T(y,x)) * (z / (x \ T(y,x))) = (y / x) * (z / (y / x)). x != K(y,L(a(z,u,w) \ (v5 / v6),v5,v6)) | x = K(y,v5 / (L(v6,u,K(z,w)) * a(z,u,w))). K(x,(y * a(z,u,w)) \ T(v5,y)) = K(x,v5 / (L(y,u,K(z,w)) * a(z,u,w))). K(x,L((y \ z) \ (u / K(w \ y,w)),u,K(w \ y,w))) = K(x,((w * (y / w)) \ z) \ T(u,K(w \ y,w))). K(x,(y * a(z,u,w)) \ T(v5,y)) = K(x,v5 / (a(z,u,w) * y)). K(x,a(y,z,u) \ (w \ T(v5,w))) = K(x,v5 / (a(y,z,u) * w)). x != K(y,z \ (u \ T(w,u))) | x = K(y,z \ (w / u)). K(x,y / (a(z,u,w) * v5)) = K(x,a(z,u,w) \ (y / v5)). x != K(y,z / (a(u,w,v5) * (v6 \ 1))) | x = K(y,z * (a(u,w,v5) \ v6)). K(x,a(y,z,u) \ (w / (v5 \ 1))) = K(x,w * (a(y,z,u) \ v5)). x != K(y,z / (a(u,w,v5) * v6)) | x = K(y,z / (v6 * a(u,w,v5))). K(x,a(y,z,u) \ (w / v5)) = K(x,w / (v5 * a(y,z,u))). K(x,y / (z * a(u,w,v5))) = K(x,a(u,w,v5) \ (y / z)). x * K(x,a(y,z,u) \ (w / v5)) = T(x,w / (a(y,z,u) * v5)). K(x,a(y,z,u) \ (w / T(v5 \ 1,w))) = K(x,T(w,v5 \ 1) * (a(y,z,u) \ v5)). x != K(y,z \ (u / T(w,u))) | x = K(y,z \ (w \ u)). K(x,T(y,z \ 1) * (a(u,w,v5) \ z)) = K(x,a(u,w,v5) \ ((z \ 1) \ y)). K(x,a(y,z,u) \ ((w \ 1) \ v5)) = K(x,T(v5,w) * (a(y,z,u) \ w)). T(x,a(y,z,u) \ (w / v5)) = T(x,w / (a(y,z,u) * v5)). T(x,y / (a(z,u,w) * v5)) = T(x,a(z,u,w) \ (y / v5)). T(x,y / (z * a(u,w,v5))) = T(x,a(u,w,v5) \ (y / z)). T(x,T(y,z * a(u,w,v5))) = T(x,a(u,w,v5) \ (((z * a(u,w,v5)) * y) / z)). T(x,a(y,z,u) \ (((w * a(y,z,u)) * v5) / w)) = T(x,T(v5,w * a(y,z,u))). x != T(y,T(z,u * a(w,v5,v6))) | x = T(y,T(z,u)). T(x,a(y,z,u) \ (((w * a(y,z,u)) * v5) / w)) = T(x,T(v5,w)). T(x,a(y,z,u) \ (w / v5)) = T(x,T((v5 * a(y,z,u)) \ w,v5)). T(x,T((y * a(z,u,w)) \ v5,y)) = T(x,a(z,u,w) \ (v5 / y)). x != T(y,T((z * a(u,w,v5)) \ v6,v7)) | x = T(y,T(a(u,w,v5) \ (z \ v6),v7)). T(x,a(y,z,u) \ (w / v5)) = T(x,T(a(y,z,u) \ (v5 \ w),v5)). T(x,T(a(y,z,u) \ (w \ v5),w)) = T(x,a(y,z,u) \ (v5 / w)). K(x,a(y,z,u) \ (((w / v5) * a(y,z,u)) / (v5 \ 1))) != v6 | K(x,L(w,v5 \ 1,a(y,z,u))) = v6. K(x,L(y,z \ 1,a(u,w,v5))) = K(x,((y / z) * a(u,w,v5)) * (a(u,w,v5) \ z)). K(x,((y / z) * a(u,w,v5)) * (a(u,w,v5) \ z)) = K(x,L(y,z \ 1,a(u,w,v5))). x != K(y,(z * a(u,w,v5)) * v6) | x = K(y,z * (a(u,w,v5) * v6)). K(x,L(y,z \ 1,a(u,w,v5))) = K(x,(y / z) * (a(u,w,v5) * (a(u,w,v5) \ z))). K(x,(y / z) * (a(u,w,v5) * (a(u,w,v5) \ z))) = K(x,L(y,z \ 1,a(u,w,v5))). K(x,(y / z) * z) = K(x,L(y,z \ 1,a(u,w,v5))). K(x,L(y,z \ 1,a(u,w,v5))) = K(x,(y / z) * z). K(x,L(y,z \ 1,a(u,w,v5))) = K(x,y). x != K(y,L(z,(u \ w) \ 1,w)) | x = K(y,L(z,u,w)). K(x,y) = K(x,L(y,z,a(u,w,v5))). K(x,L(y,z,a(u,w,v5))) = K(x,y). K(x,(a(y,z,u) * w) \ v5) = K(x,w \ (a(y,z,u) \ v5)). x != K(y,L((z \ u) \ w,u,z)) | x = K(y,u \ (z * w)). K(x,(a(y,z,u) \ w) \ v5) = K(x,w \ (a(y,z,u) * v5)). x != K(y,L(R(y,z * u,a(y,z,u)) * (((y * z) * u) \ (((z * u) * a(y,z,u)) * w)),z * u,a(y,z,u))) | x = K(R(y,z * u,a(y,z,u)),w). K(x,R(x,y * z,a(x,y,z)) * (((x * y) * z) \ (((y * z) * a(x,y,z)) * u))) = K(R(x,y * z,a(x,y,z)),u). x * K(y,z) != K(y,L(z,u,a(w,v5,v6))) | 1 = x. 1 = a(x,y,a(z,u,K(w,v5))). a(x,y,a(z,u,K(w,v5))) = 1. 1 = a(x,y,K(z,a(u,w,v5))). a(x,y,K(z,a(u,w,v5))) = 1. 1 = K(x,a(a(y,z,u),w,v5)). K(x,a(a(y,z,u),w,v5)) = 1. x != a(y,z,K(u,a(w,v5,v6))) | x = a(a(y,v5,K(v6,w)),z,u). 1 = a(a(x,y,K(z,u)),w,v5). a(a(x,y,K(z,u)),w,v5) = 1. 1 * a(x,y,z) = T(a(x,y,z),a(u,w,v5)). T(a(x,y,z),a(u,w,v5)) = 1 * a(x,y,z). 1 * x = T(x,a(y,z,a(u,w,v5))). T(x,a(y,z,a(u,w,v5))) = 1 * x. L(x,y,a(z,u,K(w,v5))) = x. L(a(x,y,K(z,u)),w,v5) = a(x,y,K(z,u)). x * K(y,a(a(z,u,w),v5,v6)) != v7 | v7 = x. a(a(x,y,z),u,w) \ v5 = v5 / a(a(x,y,z),u,w). x / a(a(y,z,u),w,v5) = a(a(y,z,u),w,v5) \ x. x * K(y,a(a(z,u,w),v5,v6)) = v7 / (x \ v7). x / (y \ x) = y * K(z,a(a(u,w,v5),v6,v7)). K(x,L(y,z,a(u,w,v5))) != v6 | v6 = K(x,y). K(x,L(y,z,a(u,w,v5))) != v6 | K(x,y) = v6. T(a(x,y,z),a(u,w,v5)) = a(x,y,z). x != T(a(y,z,u),a(w,v5,v6)) | x = a(y,z,u). L(a(x,y,z),u,K(w,v5)) = a(x,y,z). a(x,y,z) * a(u,w,v5) = a(u,w,v5) * a(x,y,z). (a(x,y,z) * a(u,w,v5)) * T(v6,a(x,y,z)) = (a(u,w,v5) * v6) * a(x,y,z). x = a(a(y,z,u),w,v5) \ (x * a(a(y,z,u),w,v5)). a(a(x,y,z),u,w) \ (v5 * a(a(x,y,z),u,w)) = v5. x \ (a(a(y,z,u),w,v5) * x) = a(a(y,z,u),w,v5). (a(x,y,z) * a(u,w,v5)) * L(v6,y,K(z,x)) = (a(u,w,v5) * v6) * a(x,y,z). a(x,y,K(z,u)) = a(x,y,K(z,L(u,w,v5))). a(x,y,K(z,L(u,w,v5))) = a(x,y,K(z,u)). (x * y) * a(z,u,K(w,v5)) != v6 | x * (y * a(z,u,K(w,v5))) = v6. a(L(x,y,z),u,K(w,v5)) = a(L(x,y,z) * w,u,K(v5,x)). a(L(x,y,z) * u,w,K(v5,x)) = a(L(x,y,z),w,K(u,v5)). x != a(y,z,K(u,w \ z)) | x = a(y,w,K(u,w \ z)). a(x,y,K(z,L(u \ y,w,v5))) = a(x,u,K(z,u \ y)). x != a(y,z,K(u,L(w,v5,v6))) | x = a(L(y,v5,v6),z,K(u,w)). a(x,y,K(z,u)) = a(L(x,w,v5),y,K(z,u)). a(L(x,y,z),u,K(w,v5)) = a(x,u,K(w,v5)). x != a(y,z,K(u,L(w,v5 \ z,v5))) | x = a(y,v5 * ((v5 \ z) * u),K(w,(v5 * ((v5 \ z) * u)) \ z)). a(x,y,K(z,u)) = a(x,w * ((w \ y) * z),K(u,(w * ((w \ y) * z)) \ y)). a(x,y * ((y \ z) * u),K(w,(y * ((y \ z) * u)) \ z)) = a(x,z,K(u,w)). a(x,y,K(z,u)) * x = T(x,a(L(u,w,v5),y,z)). T(x,a(L(y,z,u),w,v5)) = a(x,w,K(v5,y)) * x. a(L(x,y,z),u,K(w,v5)) = a(v5,u,K(x,w)). a(x,y,K(z,u)) * K(u,z) = K(u,L(z,y,L(x,w,v5))). K(x,L(y,z,L(u,w,v5))) = a(u,z,K(y,x)) * K(x,y). T(L(x,y,z) * a(x,u,K(w,v5)),a(v5,u,w) \ 1) = R(L(x,y,z),a(v5,u,w) \ 1,L(x,y,z)). L(x,y,z) * (u * a(w,v5,K(x,v6))) = L(L(x,y,z),v5,K(v6,w)) * u. x != L(y,z,a(u,w,K(v5,v6))) | x = R(y,z,a(u,w,K(v5,v6))). x = R(x,y,a(z,u,K(w,v5))). R(x,y,a(z,u,K(w,v5))) = x. (a(x,y,K(z,u)) * w) * v5 = a(x,y,K(z,u)) * (w * v5). (a(x,y,K(z,u)) * (w * v5)) \ ((a(x,y,K(z,u)) * w) * (v5 * v6)) = L(v6,L(v5,w,a(x,y,K(z,u))),a(x,y,K(z,u)) * w). x \ (y * a(z,u,K(w,v5))) = (x \ y) * a(z,u,K(w,v5)). x != y * a(z,u,K(w,v5)) | x = a(z,u,K(w,v5)) * y. x \ (y * a(z,u,K(w,v5))) = a(z,u,K(w,v5)) * (x \ y). x \ a(y,z,K(u,w)) = a(y,z,K(u,w)) * (x \ 1). a(x,y,K(z,u)) * (w \ 1) = w \ a(x,y,K(z,u)). x \ (a(y,z,K(u,w)) * v5) = a(y,z,K(u,w)) * (x \ v5). a(x,y,K(z,u)) * a(w,v5,v6) = (a(w,v5,v6) \ 1) \ a(x,y,K(z,u)). (a(x,y,z) \ 1) \ a(u,w,K(v5,v6)) = a(u,w,K(v5,v6)) * a(x,y,z). (a(x,y,K(z,u)) * a(u,y,z)) * x = x * ((a(u,y,z) \ 1) \ 1). T(a(x,y,z),u \ 1) * u = u * ((a(x,y,z) \ 1) \ 1). T(a(x,y,z),u \ 1) * u = u * a(x,y,z). x * a(y,z,u) != a(y,z,u) * a(w,v5,v6) | x = a(w,v5,v6). T(a(x,y,z),a(u,w,v5) \ 1) = a(x,y,z). a(x,y,z) * u != T(a(x,y,z),a(w,v5,v6) \ 1) | 1 = u. 1 = K(a(x,y,z),u \ L(u,w,v5)). K(a(x,y,z),u \ L(u,w,v5)) = 1. x * K(a(y,z,u),w \ L(w,v5,v6)) != 1 | 1 = x. 1 = K(x \ L(x,y,z),a(u,w,v5)). K(x \ L(x,y,z),a(u,w,v5)) = 1. x * K(y \ L(y,z,u),a(w,v5,v6)) != v7 | v7 = x. x * (a(y,z,K(u,w)) * (x \ v5)) = a(y,z,K(u,w)) * v5. x * (a(y,z,K(u,w)) * v5) = a(y,z,K(u,w)) * (x * v5). a(x,y,K(z,u)) * (w * v5) = w * (a(x,y,K(z,u)) * v5). x \ (a(y,z,K(u,w)) * v5) != v6 | v6 = a(y,z,K(u,w)) * (x \ v5). x \ (a(y,z,K(u,w)) * v5) != v6 | a(y,z,K(u,w)) * (x \ v5) = v6. a(x,y,K(z,u)) * (w * K(z,x)) = w * K(z,L(x,y,u)). K(x,y * (a(z,u,K(w,v5)) * v6)) != v7 | K(x,y * v6) = v7. x != a(L(y,z,u),w,K(v5,v6)) | x = a(y,w,K(v5,v6)). a(L(x,y,z) * u,w,K(v5,x)) = a(x,w,K(u,v5)). (L(x,y,z) \ x) * (u / (L(x,y,z) \ x)) = u * a(x,y,K(u,z)). x != y * a(z,u,K(y,w)) | x = L(y,u,K(w,z)). (L(x,y,z) \ x) * (u / (L(x,y,z) \ x)) = L(u,y,K(z,x)). x \ (L(x,y,z) * L(u,y,K(z,x))) = L(u / (L(x,y,z) \ x),L(x,y,z) \ x,L(x,y,z)). L(x / (L(y,z,u) \ y),L(y,z,u) \ y,L(y,z,u)) = y \ (L(y,z,u) * L(x,z,K(u,y))). K(x,a(y,z,u) \ (w \ v5)) = K(x,w \ (a(y,z,u) \ v5)). K(x,a(y,z,u) \ w) = K(x,v5 \ (a(y,z,u) \ (v5 * w))). K(x,y \ (a(z,u,w) \ (y * v5))) = K(x,a(z,u,w) \ v5). (a(x,y,K(z,u)) * (w * v5)) \ ((a(x,y,K(z,u)) * w) * (v5 * v6)) = L(v6,L(v5,w,a(x,y,K(z,u))),w * a(x,y,K(z,u))). (a(x,y,K(z,u)) * (w * (v5 * v6))) \ (((a(x,y,K(z,u)) * w) * v5) * v6) = a(a(x,y,K(z,u)) * w,v5,v6). x \ ((a(y,z,K(u,w)) * v5) * v6) != v7 | a(y,z,K(u,w)) * (x \ (v5 * v6)) = v7. a(x,y,K(z,u)) * ((a(x,y,K(z,u)) * (w * v5)) \ (w * (v5 * v6))) = L(v6,L(v5,w,a(x,y,K(z,u))),w * a(x,y,K(z,u))). a(x,y,K(z,u)) * (a(u,y,K(z,x)) * ((w * v5) \ (w * (v5 * v6)))) = L(v6,L(v5,w,a(x,y,K(z,u))),w * a(x,y,K(z,u))). a(x,y,K(z,u)) * (a(u,y,K(z,x)) * L(w,v5,v6)) = L(w,L(v5,v6,a(x,y,K(z,u))),v6 * a(x,y,K(z,u))). L(x,L(y,z,a(u,w,K(v5,v6))),z * a(u,w,K(v5,v6))) = a(u,w,K(v5,v6)) * (a(v6,w,K(v5,u)) * L(x,y,z)). x != a(y,z,K(u,w)) * (a(w,z,K(u,y)) * v5) | x = v5. L(x,L(y,z,a(u,w,K(v5,v6))),z * a(u,w,K(v5,v6))) = L(x,y,z). L(x,y,z * a(u,w,K(v5,v6))) = L(x,y,z). L(x,y,K(z,L(u,w,v5))) = L(x,y,K(z,u)). L(x,y,a(z,u,K(w,v5)) * v6) = L(x,y,v6). x != y | x = L(y,z,a(u,w,K(v5,v6))). L(x,y,K(z,L(u,w,v5))) = L(L(x,y,K(z,u)),v6,a(v7,v8,K(v9,v10))). L(L(x,y,K(z,u)),w,a(v5,v6,K(v7,v8))) = L(x,y,K(z,L(u,v9,v10))). x != L(y * z,u,K(w,y)) | x = y * L(z,u,K(w,y)). L(L(x,y,z) * u,w,K(v5,x)) = L(x,y,z) * L(u,w,K(v5,L(x,y,z))). L(x,y,z) * L(u,w,K(v5,L(x,y,z))) = L(L(x,y,z) * u,w,K(v5,x)). L(x,y,z) * L(u,w,K(v5,x)) = L(L(x,y,z) * u,w,K(v5,x)). L(L(x,y,z) * (x \ u),y,K(z,x)) != w | (u / x) * L(x,y,z) = w. L(x / (L(y,z,u) \ y),L(y,z,u) \ y,L(y,z,u)) = y \ L(L(y,z,u) * x,z,K(u,y)). x != y \ L(z,u,K(w,y)) | x = L(y \ z,u,K(w,y)). L(x / (L(y,z,u) \ y),L(y,z,u) \ y,L(y,z,u)) = L(y \ (L(y,z,u) * x),z,K(u,y)). L(x / (L(y,z,u) \ y),L(y,z,u) \ y,L(y,z,u)) = L(L(y,z,u) * (y \ x),z,K(u,y)). (x / y) * L(y,z,u) = L(x / (L(y,z,u) \ y),L(y,z,u) \ y,L(y,z,u)). L(x / (L(y,z,u) \ y),L(y,z,u) \ y,L(y,z,u)) = (x / y) * L(y,z,u). x != K(R(y,z,u),w) | x = K(y,L(w,z,u)). K(x,R(x,y * z,a(x,y,z)) * (((x * y) * z) \ (((y * z) * a(x,y,z)) * u))) = K(x,L(u,y * z,a(x,y,z))). x != K(y,L(z,u,a(w,v5,v6))) | x = K(y,z). K(x,R(x,y * z,a(x,y,z)) * (((x * y) * z) \ (((y * z) * a(x,y,z)) * u))) = K(x,u). x != K(y,R(y,z,u) * w) | x = K(y,y * w). K(x,y) = K(x,x * (((x * z) * u) \ (((z * u) * a(x,z,u)) * y))). K(x,x * (((x * y) * z) \ (((y * z) * a(x,y,z)) * u))) = K(x,u). x != K(y,y * (((y * z) * u) \ w)) | x = K(y,(z * u) \ w). K(x,y) = K(x,(z * u) \ (((z * u) * a(x,z,u)) * y)). K(x,(y * z) \ (((y * z) * a(x,y,z)) * u)) = K(x,u). L(x,y,K(z,L(u,w,v5))) != v6 | v6 = L(x,y,K(z,u)). L(x,y,K(z,L(u,w,v5))) != v6 | L(x,y,K(z,u)) = v6. L(x,y,K((z * u) \ w,v5)) != v6 | L(x,y,K(u \ (z \ w),v5)) = v6. (a(x,y,K(z,u)) * (w * (v5 * v6))) \ ((a(x,y,K(z,u)) * (w * v5)) * v6) = a(a(x,y,K(z,u)) * w,v5,v6). a(x,y,K(z,u)) * ((a(x,y,K(z,u)) * (w * (v5 * v6))) \ ((w * v5) * v6)) = a(a(x,y,K(z,u)) * w,v5,v6). a(x,y,K(z,u)) * (a(u,y,K(z,x)) * ((w * (v5 * v6)) \ ((w * v5) * v6))) = a(a(x,y,K(z,u)) * w,v5,v6). a(x,y,K(z,u)) * (a(u,y,K(z,x)) * a(w,v5,v6)) = a(a(x,y,K(z,u)) * w,v5,v6). a(a(x,y,K(z,u)) * w,v5,v6) = a(w,v5,v6). a(a(x,y,K(z,u)) * w,v5,v6) != v7 | v7 = a(w,v5,v6). a(a(x,y,K(z,u)) * w,v5,v6) != v7 | a(w,v5,v6) = v7. a(x * K(y,L(z,u,w)),v5,v6) != v7 | a(x * K(y,z),v5,v6) = v7. a(x \ (y * K(z,u)),w,v5) != v6 | a((x \ y) * K(z,u),w,v5) = v6. a(L(x,y,K(z,u)),w,v5) = a(x,w,v5). x != a(L(y \ z,y,K(u,w)),v5,v6) | x = a((K(u,w) * y) \ (z * K(u,w)),v5,v6). a(x \ y,z,u) = a((K(w,v5) * x) \ (y * K(w,v5)),z,u). a((K(x,y) * z) \ (u * K(x,y)),w,v5) = a(z \ u,w,v5). a(T(x,K(y,z)) \ (u * K(y,z)),w,v5) = a((x / K(y,z)) \ u,w,v5). a(x \ (y * K(z,u)),w,v5) = a((x / K(z,u)) \ y,w,v5). a((x / K(y,z)) \ u,w,v5) = a(x \ (u * K(y,z)),w,v5). a((x * K(y,z)) \ u,w,v5) = a(x \ (u * K(z,y)),w,v5). K(x,(a(y,z,z \ 1) \ u) \ w) = K(x,u \ (w * a(y,z,z \ 1))). K(x,(a(y,z,u) \ (w \ 1)) \ v5) != v6 | K(x,w * (a(y,z,u) * v5)) = v6. a(x,y,z) \ (u * K(w,v5)) = (a(x,y,z) \ u) * K(w,v5). L(a(x,y,z),u,w) = L(a(x,y,z),u,T(w,v5)). L(a(x,y,z),u,T(w,v5)) = L(a(x,y,z),u,w). T(x,a(L(y,z,u),w,v5)) != v6 | T(x,a(y,w,v5)) = v6. K(x,((a(y,z,u) \ w) * K(v5,v6)) \ v7) = K(x,(w * K(v5,v6)) \ (a(y,z,u) * v7)). x != K(y,(z * K(u,w)) \ v5) | x = K(y,K(w,u) * (z \ v5)). K(x,((a(y,z,u) \ w) * K(v5,v6)) \ v7) = K(x,K(v6,v5) * (w \ (a(y,z,u) * v7))). K(x,K(y,z) * ((a(u,w,v5) \ v6) \ v7)) = K(x,K(y,z) * (v6 \ (a(u,w,v5) * v7))). x != K(y,K(z,a(u,w,v5) \ (z \ v6)) * ((a(u,w,v5) \ (v6 / z)) \ v7)) | x = K(y,((a(u,w,v5) * z) \ v6) \ v7). K(x,K(y,a(z,u,w) \ (y \ v5)) * ((v5 / y) \ (a(z,u,w) * v6))) = K(x,((a(z,u,w) * y) \ v5) \ v6). x != K(y,K(z,u) * ((w / z) \ v5)) | x = K(y,(w / T(z,u)) \ v5). K(x,((a(y,z,u) * w) \ v5) \ v6) = K(x,(v5 / T(w,a(y,z,u) \ (w \ v5))) \ (a(y,z,u) * v6)). K(x,(y / T(z,a(u,w,v5) \ (z \ y))) \ (a(u,w,v5) * v6)) = K(x,((a(u,w,v5) * z) \ y) \ v6). x != T(y,a(z,u,a(w,v5,v6))) | x = y. T(x,L(y,z,a(u,w,v5))) = T(x,y). T(x,a(y,z,a(u,w,v5))) != v6 | v6 = x. T(x,y \ (a(z,u,w) * v5)) = T(x,(a(z,u,w) \ y) \ v5). T(x,(a(y,z,u) \ w) \ v5) = T(x,w \ (a(y,z,u) * v5)). x != T(T(y,K(z,u)),(a(w,v5,v6) \ z) \ u) | x = T(y,u / (a(w,v5,v6) \ z)). T(T(x,K(y,z)),y \ (a(u,w,v5) * z)) = T(x,z / (a(u,w,v5) \ y)). x != T(T(y,K(z,u)),z \ (a(w,v5,v6) * u)) | x = T(y,(a(w,v5,v6) * u) / z). T(x,y / (a(z,u,w) \ v5)) = T(x,(a(z,u,w) * y) / v5). T(x,(a(y,z,u) * w) / v5) = T(x,w / (a(y,z,u) \ v5)). x != T(y,(a(z,u,w) * v5) / v6) | x = T(y,T(v6 \ (a(z,u,w) * v5),v5)). T(x,y / (a(z,u,w) \ v5)) = T(x,T(v5 \ (a(z,u,w) * y),y)). T(x,T(y \ (a(z,u,w) * v5),v5)) = T(x,v5 / (a(z,u,w) \ y)). x != T(y,T(z \ (a(u,w,v5) * v6),v6)) | x = T(y,(a(u,w,v5) \ (z / v6)) \ 1). T(x,y / (a(z,u,w) \ v5)) = T(x,(a(z,u,w) \ (v5 / y)) \ 1). T(x,(a(y,z,u) \ (w / v5)) \ 1) = T(x,v5 / (a(y,z,u) \ w)). T(x,y / (a(z,u,w) \ v5)) != v6 | T(x,(v5 / y) \ a(z,u,w)) = v6. a((x \ y) * K(z,u),w,v5) = a((x * K(u,z)) \ y,w,v5). a((x * K(y,z)) \ u,w,v5) = a((x \ u) * K(z,y),w,v5). a((x \ y) * K(z,u),w,v5) = a(x \ (y * K(z,u)),w,v5). a(x \ (y * K(z,u)),w,v5) = a((x \ y) * K(z,u),w,v5). x != a((L(y * z,u,y * z) * K(w,L(v5,z,y))) \ v6,v7,v8) | x = a((y * (z * K(w,v5))) \ v6,v7,v8). a((L(x * y,z,x * y) \ u) * K(L(w,y,x),v5),v6,v7) = a((x * (y * K(v5,w))) \ u,v6,v7). a((L(x * y,z,x * y) \ u) * K(w,L(v5,y,x)),v6,v7) = a((x * (y * K(v5,w))) \ u,v6,v7). a((L(x * y,z,x * y) \ u) * K(w,v5),v6,v7) = a((x * (y * K(v5,w))) \ u,v6,v7). a((x * (y * K(z,u))) \ w,v5,v6) != v7 | a(((x * y) \ w) * K(u,z),v5,v6) = v7. T(x,L(y,z,a(u,w,v5))) != v6 | v6 = T(x,y). T(x,L(y,z,a(u,w,v5))) != v6 | T(x,y) = v6. x != L(y,z,a(u,w,K(z,v5)) * v6) | x = L(y,L(z,w,K(v5,u)),v6). L(x,y,z) = L(x,L(y,u,K(w,v5)),z). L(x,L(y,z,K(u,w)),v5) = L(x,y,v5). x != a(y,z,K(u,w)) * K(w,u) | x = K(w,L(u,z,y)). K(x,L(y,z,L(u,w,v5))) = K(x,L(y,z,u)). x != K(y,L(z,u,L(w \ (v5 / v6),v5,w))) | x = K(y,L(z,u,(w * v6) \ v5)). K(x,L(y,z,u \ (w / v5))) = K(x,L(y,z,(u * v5) \ w)). K(x,L(y,z,(u * w) \ v5)) = K(x,L(y,z,u \ (v5 / w))). x != K(y,L(z,u,w \ (v5 / v6))) | x = K(y,L(z,u,w \ (v6 \ v5))). K(x,L(y,z,(u * w) \ v5)) = K(x,L(y,z,u \ (w \ v5))). K(x,y * (z \ L(u,w,K(v5,v6)))) != v7 | K(x,y * (z \ u)) = v7. K(x,L((y \ z) \ (u * K(w,w \ y)),u,K(w \ y,w))) = K(x,((w * (y / w)) \ z) \ T(u,K(w \ y,w))). K(x,(y \ z) \ (u * K(w,w \ y))) = K(x,((w * (y / w)) \ z) \ T(u,K(w \ y,w))). K(x,((y * (z / y)) \ u) \ T(w,K(y \ z,y))) = K(x,(z \ u) \ (w * K(y,y \ z))). x != K(y,z \ (u * K(w,v5))) | x = K(y,K(w,v5) * (z \ u)). K(x,((y * (z / y)) \ u) \ T(w,K(y \ z,y))) = K(x,K(y,y \ z) * ((z \ u) \ w)). x != K(y,K(z,z \ u) * w) | x = K(y,K(u,z) * w). K(x,((y * (z / y)) \ u) \ T(w,K(y \ z,y))) = K(x,K(z,y) * ((z \ u) \ w)). x != K(y,K(z,u) * ((z \ w) \ v5)) | x = K(y,(T(z,u) \ w) \ v5). K(x,((y * (z / y)) \ u) \ T(w,K(y \ z,y))) = K(x,(T(z,y) \ u) \ w). K(x,((y * (z / y)) \ u) \ w) = K(x,(T(z,y) \ u) \ w). K(x,((y * z) \ u) \ w) = K(x,(T(z * y,y) \ u) \ w). K(x,(T(y * z,z) \ u) \ w) = K(x,((z * y) \ u) \ w). K(x,((y * z) \ y) \ u) = K(x,(y / (z * y)) \ u). K(x,(y / (z * y)) \ u) = K(x,((y * z) \ y) \ u). K(x,K(y,((z * u) \ z) \ w) * v5) != v6 | K(x,v5 * K((z / (u * z)) \ w,y)) = v6. K(x,K(y,z * ((u * w) \ u)) * v5) != v6 | K(x,v5 * K((u / (w * u)) \ z,y)) = v6. (K(x,y) * (z \ u)) * T(z,z \ u) = K(x,L(y,u,z)) * u. (K(x,y) * (z \ u)) * T(z,z \ u) != w * v5 | (K(x,L(y,u,z)) * u) / v5 = w. (K(x,L(y,z,u)) * z) / u = K(x,y) * (z / u). (K(x,L(y,(K(z,u) * w) * v5,K(z,u) * v5)) * ((K(z,u) * w) * v5)) / (K(z,u) * v5) = K(x,y) * L(T(w,K(z,u)),K(z,u),v5). (K(x,L(y,(K(z,u) * w) * v5,v5)) * ((K(z,u) * w) * v5)) / (K(z,u) * v5) = K(x,y) * L(T(w,K(z,u)),K(z,u),v5). K(x,L(T(y,z \ u),u,z)) * u = ((z \ u) * K(x,y)) * T(z,z \ u). K(x,L(T(y,z \ u),u,z)) * u = z * (K(x,T(y,u)) * (z \ u)). K(x,y / (z * u)) * a(u,y,K(x,z \ (y / u))) = K(x,(y / u) / z). K(x,y / (z * u)) * a(u,y,K(x,z \ (u \ y))) = K(x,(y / u) / z). K(x,y / (z * u)) * a(u,y,K(x,z \ y)) = K(x,(y / u) / z). K(x,L((y / (z \ u)) * K(w,w \ z),y,z \ u)) = K(x,y / ((w * (z / w)) \ u)). x != K(y,L(z * K(u,u \ w),v5,v6)) | x = K(y,L(z * K(w,u),v5,v6)). K(x,y / ((z * (u / z)) \ w)) = K(x,L((y / (u \ w)) * K(u,z),y,u \ w)). K(x,L((y / (z \ u)) * K(z,w),y,z \ u)) = K(x,y / ((w * (z / w)) \ u)). K(x,L((y / (z \ u)) * K(w \ z,w),y,z \ u)) = K(x,y / (((w \ z) * w) \ u)). x != K(y,L(z * K(u \ w,u),v5,v6)) | x = K(y,L(z * K(w,u),v5,v6)). K(x,y / (((z \ u) * z) \ w)) = K(x,L((y / (u \ w)) * K(u,z),y,u \ w)). K(x,L((y / (z \ u)) * K(z,w),y,z \ u)) = K(x,y / (((w \ z) * w) \ u)). K(x,R(y,y \ z,u)) = K(x,L(z / (y \ z),z * u,u)). K(x,R(y,y \ z,u)) = K(x,L(y,z * u,u)). K(x,L(y,y \ z,u)) = K(x,L(y,z * u,u)). K(x,L(y,z,u)) = K(x,L(y,z * u,u)). K(x,L(y,z * u,u)) = K(x,L(y,z,u)). x != K(y,L(z,u,K(w,v5) * v6)) | x = K(y,L(z,u,v6)). K(x,L(y,z * (K(u,w) * v5),K(u,w) * v5)) = K(x,L(y,z,v5)). K(x,L(y,(z * K(u,w)) * (K(w,u) * v5),L(v5,K(w,u),z))) = K(x,L(y,z,L(v5,K(w,u),z))). (K(x,L(y,K(z,u) * w,v5)) * ((K(z,u) * w) * v5)) / (K(z,u) * v5) = K(x,y) * L(T(w,K(z,u)),K(z,u),v5). ((K(x,y) * (K(z,u) * w)) * v5) / (K(z,u) * v5) = K(x,y) * L(T(w,K(z,u)),K(z,u),v5). x != ((K(y,z) * (K(u,w) * v5)) * v6) / (K(u,w) * v6) | x = L(T(K(y,z) * v5,K(u,w)),K(u,w),v6). K(x,y) * L(T(z,K(u,w)),K(u,w),v5) = L(T(K(x,y) * z,K(u,w)),K(u,w),v5). T(K(x,y) * L(z,K(u,w),v5),K(u,w)) = L(T(K(x,y) * z,K(u,w)),K(u,w),v5). T(L(T(K(x,y) * z,K(u,w)),K(u,w),v5),K(u,w)) = K(x,y) * L(z,K(u,w),v5). x != T(L(T(y,z),u,w),v5) | x = L(T(T(y,v5),z),u,w). K(x,y) * L(z,K(u,w),v5) = L(T(T(K(x,y) * z,K(u,w)),K(u,w)),K(u,w),v5). L(T(T(K(x,y) * z,K(u,w)),K(u,w)),K(u,w),v5) = K(x,y) * L(z,K(u,w),v5). L(K(x,y) * z,K(u,w),v5) = K(x,y) * L(z,K(u,w),v5). K(x,y) * L(z,K(u,w),v5) = L(K(x,y) * z,K(u,w),v5). x != K(y,z) * L(K(z,y) * u,K(y,z),w) | x = K(y,z) * (w \ ((w * K(z,y)) * u)). L(K(x,y) * (K(y,x) * z),K(x,y),u) = K(x,y) * (u \ ((u * K(y,x)) * z)). L(x,K(y,z),u) = K(y,z) * (u \ ((u * K(z,y)) * x)). K(x,y) * (z \ ((z * K(y,x)) * u)) = L(u,K(x,y),z). K(x,L(y,(z * K(u,w)) * (K(w,u) * v5),v5)) = K(x,L(y,z,L(v5,K(w,u),z))). K(x,L(y,z,u)) = K(x,L(y,z * (K(w,v5) * u),u)). K(x,L(y,z * (K(u,w) * v5),v5)) = K(x,L(y,z,v5)). x != K(y,L(z,(u * K(w,v5)) * (K(v5,w) * v6),v6)) | x = K(y,L(z,u,L(v6,K(v5,w),u))). K(x,L(y,z * K(u,w),v5)) = K(x,L(y,z,L(v5,K(w,u),z))). K(x,L(y,z,L(u,K(w,v5),z))) = K(x,L(y,z * K(v5,w),u)). K(x,L(y,z,u)) = K(x,L(y,z * K(w,v5),u)). K(x,L(y,z * K(u,w),v5)) = K(x,L(y,z,v5)). K(x,L(y,z * K(u,w),v5)) != v6 | K(x,L(y,z,v5)) = v6. K(x,L(y,z * (u / z),w)) != v5 | K(x,L(y,u,w)) = v5. K(x,L(y,z / u,w)) != v5 | K(x,L(y,u \ z,w)) = v5. K(x,L(y,T(z,u) \ w,v5)) != v6 | K(x,L(y,z \ w,v5)) = v6. K(x,L(y,z \ K(u,w),v5)) != v6 | K(x,L(y,z \ 1,v5)) = v6. K(x,L(y,z \ 1,u)) = K(x,L(y,z \ K(w,v5),u)). K(x,L(y,z \ K(u,w),v5)) = K(x,L(y,z \ 1,v5)). K(x,L(T(((y \ z) \ 1) \ y,y),y,u)) = K(x,(u * ((y \ z) \ 1)) \ (u * T(y,z))). K(x,L(T(y,z \ 1) \ u,z \ y,z \ 1)) = K(x,(y * ((z \ y) / y)) \ (z \ u)). x != K(y,L(z,u \ w,u \ 1)) | x = K(y,L(z,w,u \ 1)). K(x,(y * ((z \ y) / y)) \ (z \ u)) = K(x,L(T(y,z \ 1) \ u,y,z \ 1)). K(x,L(T(y,z \ 1) \ u,y,z \ 1)) = K(x,(y * ((z \ y) / y)) \ (z \ u)). K(x,(y * (z \ 1)) \ ((z \ 1) * u)) = K(x,(y * ((z \ y) / y)) \ (z \ u)). x != K(y,(z * (u / z)) \ w) | x = K(y,T(u,z) \ w). K(x,(y * (z \ 1)) \ ((z \ 1) * u)) = K(x,T(z \ y,y) \ (z \ u)). K(x,T(y \ z,z) \ (y \ u)) = K(x,(z * (y \ 1)) \ ((y \ 1) * u)). x != K(y,L(T(z \ u,u),w,v5)) | x = K(y,L(u / z,w,v5)). K(x,(y * ((z \ u) \ 1)) \ (y * T(z,u))) = K(x,L(z / ((z \ u) \ 1),z,y)). K(x,L(y / ((y \ z) \ 1),y,u)) = K(x,(u * ((y \ z) \ 1)) \ (u * T(y,z))). K(x,L(y,z \ 1,u)) * K(y,x) = a(x,z \ K(w,v5),K(u,y)). a(x,y \ K(z,u),K(w,v5)) = K(x,L(v5,y \ 1,w)) * K(v5,x). x != K(y,L(z,u,w)) * K(z,y) | x = a(y,u,K(w,z)). a(x,y \ K(z,u),K(w,v5)) = a(x,y \ 1,K(w,v5)). x * a(x,y \ 1,K(z,u)) = T(x,a(u,y \ K(w,v5),z)). T(x,a(y,z \ K(u,w),v5)) = x * a(x,z \ 1,K(v5,y)). x != y * a(y,z,K(u,w)) | x = T(y,a(w,z,u)). T(x,a(y,z \ K(u,w),v5)) = T(x,a(y,z \ 1,v5)). L(x,y \ K(z,u),K(w,v5)) = T(x,a(v5,y \ 1,w)). L(x,y \ K(z,u),K(w,v5)) = L(x,y \ 1,K(w,v5)). x != L(y,(z \ 1) \ K(u,w),v5) | x = L(y,z * K(u,w),v5). L(x,(y \ 1) \ 1,K(z,u)) = L(x,y * K(w,v5),K(z,u)). L(x,y * K(z,u),K(w,v5)) = L(x,y,K(w,v5)). x != L(y,z * K(u,w),v5) | x = L(y,K(u,w) * z,v5). L(x,y,K(z,u)) = L(x,K(w,v5) * y,K(z,u)). L(x,K(y,z) * u,K(w,v5)) = L(x,u,K(w,v5)). L(x,y * z,K(u,w)) = L(x,z * y,K(u,w)). L(x,y * T(z,u),K(w,v5)) = L(x,y * z,K(w,v5)). L(x,y,K(z,u)) = L(x,T(y,w),K(z,u)). L(x,T(y,z),K(u,w)) = L(x,y,K(u,w)). L(T(x,y),z,K(u,y)) = T(x,L(y,K(w,v5) * z,u)). T(x,L(y,K(z,u) * w,v5)) = L(T(x,y),w,K(v5,y)). T(x,L(y,K(z,u) * w,v5)) = T(x,L(y,w,v5)). T(x,L(y,T(z,u) \ w,v5)) = T(x,L(y,z \ w,v5)). T(x,L(y,z * u,w)) = T(x,L(y,u * z,w)). T(x,L(y,z / u,w)) = T(x,L(y,u \ z,w)). x != L(y,T(z,u),K(w,a(v5,v6,v7) * u)) | x = L(y,(a(v5,v6,v7) * z) * u,K(w,a(v5,v6,v7) * u)). L(x,y,K(z,a(u,w,v5) * v6)) = L(x,(a(u,w,v5) * y) * v6,K(z,a(u,w,v5) * v6)). L(x,(a(y,z,u) * w) * v5,K(v6,a(y,z,u) * v5)) = L(x,w,K(v6,a(y,z,u) * v5)). x * y != L(z,u,K(w,a(v5,v6,v7) * v8)) | T(x,y) = y \ L(z,(a(v5,v6,v7) * u) * v8,K(w,a(v5,v6,v7) * v8)). T(K(x,K(y,a(z,u,w) * v5) * v6),L(x,v6,K(y,a(z,u,w) * v5))) = L(x,v6,K(y,a(z,u,w) * v5)) \ L(T(x,K(y,a(z,u,w) * v5) * v6),(a(z,u,w) * v6) * v5,K(y,a(z,u,w) * v5)). L(x,y,K(z,a(u,w,v5) * v6)) \ L(T(x,K(z,a(u,w,v5) * v6) * y),(a(u,w,v5) * y) * v6,K(z,a(u,w,v5) * v6)) = T(K(x,K(z,a(u,w,v5) * v6) * y),L(x,y,K(z,a(u,w,v5) * v6))). L(x,y,K(z,a(u,w,v5) * v6)) \ L(T(x,K(z,a(u,w,v5) * v6) * y),(a(u,w,v5) * y) * v6,K(z,a(u,w,v5) * v6)) = K(x,K(z,a(u,w,v5) * v6) * y). L(x,y,K(z,a(u,w,v5) * v6)) \ L(T(x,K(v6,z) * y),(a(u,w,v5) * y) * v6,K(z,a(u,w,v5) * v6)) = K(x,K(z,a(u,w,v5) * v6) * y). L(x,y,K(z,a(u,w,v5) * v6)) \ L(T(x,K(v6,z) * y),y,K(z,a(u,w,v5) * v6)) = K(x,K(z,a(u,w,v5) * v6) * y). K(x,L(K(y,z) * u,u,K(z,a(w,v5,v6) * y))) = K(x,K(z,a(w,v5,v6) * y) * u). K(x,K(y,z) * u) = K(x,K(z,a(w,v5,v6) * y) * u). K(x,K(y,a(z,u,w) * v5) * v6) = K(x,K(v5,y) * v6). K(x,y * (K(z,a(u,w,v5) * v6) * v7)) = K(x,K(v6,z) * (y * v7)). K(x,y * (z * K(a(u,w,v5) * v6,v7))) = K(x,K(v6,v7) * (y * z)). K(x,y * K(a(z,u,w) * v5,v6)) = K(x,K(v5,v6) * y). K(x,y * K(z,a(u,w,v5) * v6)) = K(x,K(v6,z) * y). x != K(y,((z / u) \ w) * K(v5 * v6,u)) | x = K(y,(z / T(u,T(v5 \ v6,v7))) \ w). K(x,K(y,z) * ((u / z) \ w)) = K(x,(u / T(z,T(a(v5,v6,v7) \ y,v8))) \ w). K(x,(y / T(z,T(a(u,w,v5) \ v6,v7))) \ v8) = K(x,K(v6,z) * ((y / z) \ v8)). x != K(y,K(z,u) * ((w / u) \ v5)) | x = K(y,(w / T(u,z)) \ v5). K(x,(y / T(z,T(a(u,w,v5) \ v6,v7))) \ v8) = K(x,(y / T(z,v6)) \ v8). x != K(y,(z / T(u,T(w,v5))) \ v6) | x = K(y,(z / T(u,w)) \ v6). K(x,(y / T(z,u)) \ w) = K(x,(y / T(z,a(v5,v6,v7) \ u)) \ w). K(x,(y / T(z,a(u,w,v5) \ v6)) \ v7) = K(x,(y / T(z,v6)) \ v7). x != K(y,(z / T(u,a(w,v5,v6) \ (u \ z))) \ (a(w,v5,v6) * v7)) | x = K(y,((a(w,v5,v6) * u) \ z) \ v7). K(x,(y / T(z,z \ y)) \ (a(u,w,v5) * v6)) = K(x,((a(u,w,v5) * z) \ y) \ v6). K(x,(y \ z) \ (a(u,w,v5) * v6)) = K(x,((a(u,w,v5) * y) \ z) \ v6). K(x,((a(y,z,u) * w) \ v5) \ v6) = K(x,(w \ v5) \ (a(y,z,u) * v6)). x * K(x,(y \ z) \ (a(u,w,v5) * v6)) = T(x,((a(u,w,v5) * y) \ z) \ v6). T(x,(y \ z) \ (a(u,w,v5) * v6)) = T(x,((a(u,w,v5) * y) \ z) \ v6). T(x,((a(y,z,u) * w) \ v5) \ v6) = T(x,(w \ v5) \ (a(y,z,u) * v6)). K(x,(y / T(z,a(u,w,v5) * v6)) * K(v7,K(v8,v9))) = K(x,K(v6,z) * (y / z)). K(x,K(y,z) * (u / z)) = K(x,(u / T(z,a(w,v5,v6) * y)) * K(v7,K(v8,v9))). K(x,y / T(z,u)) = K(x,(y / T(z,a(w,v5,v6) * u)) * K(v7,K(v8,v9))). K(x,(y / T(z,a(u,w,v5) * v6)) * K(v7,K(v8,v9))) = K(x,y / T(z,v6)). K(x,y / T(z,a(u,w,v5) * v6)) = K(x,y / T(z,v6)). x != K(y,z / T(u \ 1,w * v5)) | x = K(y,z * T(u,T(v5,v6) \ w)). K(x,y / T(z \ 1,u)) = K(x,y * T(z,T(u,w) \ a(v5,v6,v7))). K(x,y * T(z,T(u,w) \ a(v5,v6,v7))) = K(x,y / T(z \ 1,u)). K(x,y * T(z,T(u,w) \ a(v5,v6,v7))) = K(x,y * T(z,u)). K(x,y * T(z,u \ a(w,v5,v6))) = K(x,y * T(z,u)). K(x,y * T(z,a(u,w,v5) * v6)) = K(x,y * T(z,v6)). L(x,y * L(z,u,K(w,v5)),K(v6,v7)) = L(x,y * z,K(v6,v7)). L(x,y,K(z,u)) = L(x,y * z,K(z,u)). L(x,y * z,K(z,u)) = L(x,y,K(z,u)). L(x,y * z,K(z,u)) != w | L(x,y,K(z,u)) = w. K(x,(y * (z \ u)) / u) = K(x,L(y / z,u,z \ u)). K(x,L(y / z,u,z \ u)) = K(x,(y * (z \ u)) / u). (x / (y * z)) * (y * T(z,u)) = (x / y) * (y * K(z,u)). x * R(x \ y,x * K(z,u),(x * K(z,u)) \ x) = ((y / (x * z)) * (x * T(z,u))) * ((x * K(z,u)) \ x). ((x / (y * z)) * (y * T(z,u))) * ((y * K(z,u)) \ y) = y * R(y \ x,y * K(z,u),(y * K(z,u)) \ y). ((x / (y * z)) * (y * T(z,u))) * ((y * K(z,u)) \ y) = y * R(y \ x,y * K(z,u),K(u,z)). ((x / (y * z)) * (y * T(z,u))) * ((y * K(z,u)) \ y) = y * L(y \ x,y * K(z,u),K(u,z)). ((x / (y * z)) * (y * T(z,u))) * ((y * K(z,u)) \ y) = y * L(y \ x,y,K(u,z)). ((x / y) * (y * K(z,u))) * ((y * K(z,u)) \ y) = y * L(y \ x,y,K(u,z)). ((x / y) * (y * K(z,u))) * K(u,z) = y * L(y \ x,y,K(u,z)). x != ((y / z) * (z * K(u,w))) * K(w,u) | x = K(w,u) * (z * ((K(w,u) * z) \ y)). x * L(x \ y,x,K(z,u)) = K(z,u) * (x * ((K(z,u) * x) \ y)). K(x,y) * (z * ((K(x,y) * z) \ u)) = z * L(z \ u,z,K(x,y)). K(x,(y / T(z,y)) * u) != w | K(x,(z \ y) * u) = w. x != (y \ 1) * L((y \ 1) \ z,u,w) | x = y \ L(y * z,u,w). K(x,y) * ((z \ 1) * ((K(x,y) * (z \ 1)) \ u)) = z \ L(z * u,z \ 1,K(x,y)). x \ L(x * y,x \ 1,K(z,u)) = K(z,u) * ((x \ 1) * ((K(z,u) * (x \ 1)) \ y)). K(x * (((y / z) \ 1) \ K(u,u \ z)),w) = K(x * (y / ((u \ z) * u)),w). x != K(y,L(z,u,z \ 1)) | x = K(y,z). K(x \ (y * (z \ 1)),z) = K(((z \ 1) \ x) \ y,z). K(((x \ 1) \ y) \ z,x) = K(y \ (z * (x \ 1)),x). (x \ y) \ (x \ L(T(y,((z \ 1) \ u) \ w),w,K(u \ (w * (z \ 1)),z))) = K(y,u \ ((z \ 1) * w)). (x \ y) \ (x \ L(T(y,((z \ 1) \ u) \ w),w,K(u \ w,z))) = K(y,u \ ((z \ 1) * w)). (x \ y) \ (x \ L(T(y,(z * (u \ (u / z))) \ w),w,K((u \ (u / (1 / (z \ 1)))) \ w,z))) = K(y,(u \ (u / (1 / (z \ 1)))) \ ((z \ 1) * w)). (x \ y) \ (x \ L(T(y,((z \ (z / u)) * u) \ w),w,K((z \ (z / ((u \ 1) \ 1))) \ w,u))) = K(y,(z \ (z / ((u \ 1) \ 1))) \ ((u \ 1) * w)). (x \ y) \ (x \ L(T(y,((z \ (z / u)) * u) \ w),w,K((z \ (z / u)) \ w,u))) = K(y,(z \ (z / ((u \ 1) \ 1))) \ ((u \ 1) * w)). (x \ y) \ (x \ L(T(y,((z \ (z / u)) * u) \ w),w,K((z \ (u \ z)) \ w,u))) = K(y,(z \ (z / ((u \ 1) \ 1))) \ ((u \ 1) * w)). (x \ y) \ (x \ T(y,((z \ (z / u)) * u) \ w)) = K(y,(z \ (z / ((u \ 1) \ 1))) \ ((u \ 1) * w)). K(x,(y \ (y / ((z \ 1) \ 1))) \ ((z \ 1) * u)) = (w \ x) \ (w \ T(x,((y \ (y / z)) * z) \ u)). x != (y \ z) \ (y \ T(z,u)) | x = K(z,u). K(x,(y \ (y / ((z \ 1) \ 1))) \ ((z \ 1) * u)) = K(x,((y \ (y / z)) * z) \ u). x != K(y,((z \ (z / u)) * u) \ w) | x = K(y,u \ ((z \ (z / u)) \ w)). K(x,(y \ (y / ((z \ 1) \ 1))) \ ((z \ 1) * u)) = K(x,z \ ((y \ (y / z)) \ u)). K(x,(y \ (y / z)) \ ((z \ 1) * u)) = K(x,z \ ((y \ (y / z)) \ u)). (x \ y) \ (x \ L(T(y,(z * (u \ (u / z))) \ w),w,K((u \ (u / z)) \ w,z))) = K(y,(u \ (u / (1 / (z \ 1)))) \ ((z \ 1) * w)). (x \ y) \ (x \ L(T(y,(z * (u \ (u / z))) \ w),w,K((u \ (z \ u)) \ w,z))) = K(y,(u \ (u / (1 / (z \ 1)))) \ ((z \ 1) * w)). (x \ y) \ (x \ T(y,(z * (u \ (u / z))) \ w)) = K(y,(u \ (u / (1 / (z \ 1)))) \ ((z \ 1) * w)). K(x,(y \ (y / (1 / (z \ 1)))) \ ((z \ 1) * u)) = (w \ x) \ (w \ T(x,(z * (y \ (y / z))) \ u)). K(x,(y \ (y / (1 / (z \ 1)))) \ ((z \ 1) * u)) = K(x,(z * (y \ (y / z))) \ u). x != K(y,(z * (u \ (u / z))) \ w) | x = K(y,(u \ (u / z)) \ (z \ w)). K(x,(y \ (y / (1 / (z \ 1)))) \ ((z \ 1) * u)) = K(x,(y \ (y / z)) \ (z \ u)). K(x,(y \ (y / z)) \ ((z \ 1) * u)) = K(x,(y \ (y / z)) \ (z \ u)). x != K(y,(z \ (z / u)) \ ((u \ 1) * w)) | x = K(y,u \ ((z \ (z / u)) \ w)). K(x,(y \ (y / z)) \ (z \ u)) = K(x,z \ ((y \ (y / z)) \ u)). x != K(y,(z \ (z / u)) \ (u \ w)) | x = K(y,(u * (z \ (z / u))) \ w). K(x,y \ ((z \ (z / y)) \ u)) = K(x,(y * (z \ (z / y))) \ u). K(x,(y * (z \ (z / y))) \ u) = K(x,y \ ((z \ (z / y)) \ u)). K(x,L((y * z) / u,y,z \ 1)) = K(x,y / (u * ((y * z) \ y))). K(x,L(y,z * u,u \ 1)) != w | K(x,L(y,z,u \ 1)) = w. K(x,L((y * z) / u,y,z \ 1)) = K(x,y / (u * L(z \ 1,z,y))). K(x,y / (z * L(u \ 1,u,y))) = K(x,L((y * u) / z,y,u \ 1)). x != K(y,z / ((z / u) * w)) | x = K(y,((z / w) * u) / z). K(x,L((y * z) / (y / u),y,z \ 1)) = K(x,((y / L(z \ 1,z,y)) * u) / y). K(x,((y / L(z \ 1,z,y)) * u) / y) = K(x,L((y * z) / (y / u),y,z \ 1)). K(x,L((y * z) / u,y,z \ 1)) = K(x,L((y * z) / u,u,z \ 1)). K(x,L((y * z) / u,u,z \ 1)) = K(x,L((y * z) / u,y,z \ 1)). K(x,L(y / (z \ T(u,u \ z)),w,v5)) = K(x,L(y / T(z \ u,u),w,v5)). x != K(y,L(z / T(u \ w,w),v5,v6)) | x = K(y,L(z / (w / u),v5,v6)). K(x,L(y / (z \ T(u,u \ z)),w,v5)) = K(x,L(y / (u / z),w,v5)). K(x,L(y / (((z \ u) * z) \ z),w,v5)) = K(x,L(y / (z / u),w,v5)). K(x,L(y / (((y \ T(z,u)) * y) \ y),w,v5)) = K(x,L(T(y / (y / z),u),w,v5)). K(x,L(y / (T((y \ z) * y,u) \ y),w,v5)) = K(x,L(T(y / (y / z),u),w,v5)). K(x,L(T((y \ z) * y,u),w,v5)) = K(x,L(T(y / (y / z),u),w,v5)). K(x,L(T(y / (y / z),u),w,v5)) = K(x,L(T((y \ z) * y,u),w,v5)). x != K(y,L(T(z / (z / u),w),v5,v6)) | x = K(y,L(T(T(u,w),z),v5,v6)). K(x,L(T((y \ z) * y,u),w,v5)) = K(x,L(T(T(z,u),y),w,v5)). K(x,L(((y * z) / y) / u,w,v5)) = K(x,L(T(z,y) * (u \ 1),w,v5)). x != K(y,L(z * (u \ 1),w,v5)) | x = K(y,L(z / u,w,v5)). K(x,L(((y * z) / y) / u,w,v5)) = K(x,L(T(z,y) / u,w,v5)). K(x,L((y * K(z,y)) / u,w,v5)) = K(x,L(T(y,z) / u,w,v5)). K((x \ y) \ (x \ T(y,z)),u \ ((x \ T(y,z)) \ (x \ y))) = K(y,K(z,((x \ T(y,z)) * u) \ (x \ y))). x != K(y,K(z,(u * w) \ v5)) | x = K(y,K(z,u \ (w \ v5))). K((x \ y) \ (x \ T(y,z)),u \ ((x \ T(y,z)) \ (x \ y))) = K(y,K(z,(x \ T(y,z)) \ (u \ (x \ y)))). x != K(y,K(z,(u \ w) \ v5)) | x = K(y,K(z,w \ (u * v5))). K((x \ y) \ (x \ T(y,z)),u \ ((x \ T(y,z)) \ (x \ y))) = K(y,K(z,T(y,z) \ (x * (u \ (x \ y))))). x != K(y,K(z,T(u,w) \ v5)) | x = K(y,K(z,u \ v5)). K((x \ y) \ (x \ T(y,z)),u \ ((x \ T(y,z)) \ (x \ y))) = K(y,K(z,y \ (x * (u \ (x \ y))))). x != K(y,K(z,y \ u)) | x = K(y,K(z,u)). K((x \ y) \ (x \ T(y,z)),u \ ((x \ T(y,z)) \ (x \ y))) = K(y,K(z,x * (u \ (x \ y)))). K(K(x,y),z \ ((u \ T(x,y)) \ (u \ x))) = K(x,K(y,u * (z \ (u \ x)))). K(K(x,y),z \ K(y,x)) = K(x,K(y,u * (z \ (u \ x)))). K(x,K(y,z \ K(y,x))) = K(x,K(y,u * (z \ (u \ x)))). K(x,K(y,z)) = K(x,K(y,u * (z \ (u \ x)))). K(x,K(y,z * (u \ (z \ x)))) = K(x,K(y,u)). K(x,a(y \ 1,y,z) \ u) = K(x,z \ (L(z,y,y \ 1) * u)). K(x,y \ (L(y,z,z \ 1) * u)) = K(x,a(z \ 1,z,y) \ u). K(x,L(y,z,z \ 1) * (y \ u)) = K(x,a(z \ 1,z,y) \ u). x != K(y,L(z,u,u \ 1) * (z \ w)) | x = K(y,(w / z) * L(z,u,u \ 1)). K(x,a(y \ 1,y,z) \ u) = K(x,(u / z) * L(z,y,y \ 1)). K(x,(y / z) * L(z,u,u \ 1)) = K(x,a(u \ 1,u,z) \ y). x != K(y,(z / u) * L(u,w,w \ 1)) | x = K(y,a(u,w,w \ 1) * z). K(x,a(y \ 1,y,z) \ u) = K(x,a(z,y,y \ 1) * u). x != K(y,a(z,u,w) \ (v5 \ v6)) | x = K(y,v5 \ (a(z,u,w) \ v6)). K(x,a(y,z,z \ 1) * (u \ w)) = K(x,u \ (a(z \ 1,z,y) \ w)). K(x,y \ (a(z \ 1,z,u) \ w)) = K(x,a(u,z,z \ 1) * (y \ w)). K((K(x,T(y,z)) * u) \ (z * y),L(w,u,K(y,T(x,z)))) = K(u \ (z * T(y,x)),w). K((K(x,T(y,z)) * u) \ (z * y),w) = K(u \ (z * T(y,x)),w). K((x \ (y * z)) * K(T(z,y),u),w) = K(x \ (y * T(z,u)),w). K((x \ (y * z)) * K(z,T(u,y)),w) = K(x \ (y * T(z,u)),w). K(K(x,y) * (z \ (u * y)),w) = K(z \ (u * T(y,x)),w). x != K(K(y,z) * (u \ (w * z)),v5) | x = K(u \ (w * ((y \ 1) * (z / (y \ 1)))),v5). K(x \ (y * T(z,u)),w) = K(x \ (y * ((u \ 1) * (z / (u \ 1)))),w). K(x \ (y * ((z \ 1) * (u / (z \ 1)))),w) = K(x \ (y * T(u,z)),w). x != K(y \ (z * ((u \ 1) * ((w * u) / (u \ 1)))),v5) | x = K(y \ (z * (((w * u) \ w) \ w)),v5). K(x \ (y * T(z * u,u)),w) = K(x \ (y * (((z * u) \ z) \ z)),w). x != K(y \ (z * T(u * w,w)),v5) | x = K(y \ (z * (w * u)),v5). K(x \ (y * (((z * u) \ z) \ z)),w) = K(x \ (y * (u * z)),w). K(x \ ((y * z) * (1 / z)),u) = K(x \ ((1 / z) * (z * y)),u). K(x \ ((1 / y) * (y * z)),u) = K(x \ ((z * y) * (1 / y)),u). K(x \ L(y,z,z \ 1),u) = K(x \ ((y * z) * (1 / z)),u). K(x \ ((y * z) * (1 / z)),u) = K(x \ L(y,z,z \ 1),u). x != K(y \ (z * (1 / u)),w) | x = K(y \ (z * (u \ 1)),w). K(x \ L(y,z,z \ 1),u) = K(x \ ((y * z) * (z \ 1)),u). K(x \ ((y * z) * (z \ 1)),u) = K(x \ L(y,z,z \ 1),u). K(x \ R(y,z,z \ 1),u) = K(x \ L(y,z,z \ 1),u). x != K((1 / y) \ R(z,u,u \ 1),w) | x = K(R(z,u,u \ 1) * T(y,z),w). K((1 / x) \ L(y,z,z \ 1),u) = K(R(y,z,z \ 1) * T(x,y),u). K(x * L(y,z,z \ 1),u) = K(R(y,z,z \ 1) * T(x,y),u). K(R(x,y,y \ 1) * T(z,x),u) = K(z * L(x,y,y \ 1),u). K(x * R(y,z,z \ 1),u) = K(x * L(y,z,z \ 1),u). x != K((y \ 1) * R(y,z,z \ 1),u) | x = K(a(y,z,z \ 1),T(u,R(y,z,z \ 1))). K((x \ 1) * L(x,y,y \ 1),z) = K(a(x,y,y \ 1),T(z,R(x,y,y \ 1))). K(a(x,y,y \ 1),T(z,R(x,y,y \ 1))) = K((x \ 1) * L(x,y,y \ 1),z). K(a(x,y,y \ 1),T(z,R(x,y,y \ 1))) = K(x \ L(x,y,y \ 1),z). a(x,y,K(y \ 1,z)) = K(x \ L(x,y,y \ 1),z). K(x \ L(x,y,y \ 1),z) = a(x,y,K(y \ 1,z)). x != a(y,z,K(z \ 1,u)) | x = 1. K(x \ L(x,y,y \ 1),z) = 1. T(x * 1,y \ L(y,z,z \ 1)) = x. T(x,y \ L(y,z,z \ 1)) = x. x != T(y,z \ L(z,u,w)) | x = T(y,a(w,u,z) \ 1). x = T(x,a(y \ 1,y,z) \ 1). T(x,a(y \ 1,y,z) \ 1) = x. x * (a(y \ 1,y,z) \ 1) = a(y \ 1,y,z) \ x. x * (a(y \ 1,y,z) \ 1) = (a(y \ 1,y,z) \ 1) * x. (a(x \ 1,x,y) \ 1) * z = z * (a(x \ 1,x,y) \ 1). K(x,L((y \ z) \ (a(u \ 1,u,w) \ 1),a(u \ 1,u,w) \ 1,y)) = K(x,z \ (a(u \ 1,u,w) \ y)). x != y * (a(z \ 1,z,u) \ 1) | x = a(z \ 1,z,u) \ y. (a(x \ 1,x,y) \ 1) * z = a(x \ 1,x,y) \ z. (x \ L(x,y,y \ 1)) * z = a(y \ 1,y,x) \ z. (a(x \ 1,x,y) \ 1) \ z = a(x \ 1,x,y) * z. K((a(x \ 1,x,y) \ z) / (u * z),w) = K((a(x \ 1,x,y) \ 1) / u,L(w,u,z)). K((a(x \ 1,x,y) \ 1) / z,L(u,z,w)) = K((a(x \ 1,x,y) \ w) / (z * w),u). K(a(x \ 1,x,y) \ (z \ 1),L(u,z,w)) = K((a(x \ 1,x,y) \ w) / (z * w),u). (x \ L(x,y,y \ 1)) \ z = a(y \ 1,y,x) * z. K((a(x \ 1,x,y) \ z) / ((u \ (y \ L(y,x,x \ 1))) * z),w) != v5 | K(u,L(w,y \ L(y,x,x \ 1),z)) = v5. K(x,L((y \ L(y,z,z \ 1)) / (u / w),y \ L(y,z,z \ 1),(y \ L(y,z,z \ 1)) \ u)) = K(x,(a(z \ 1,z,y) \ w) / u). K(x,L(y,a(z \ 1,z,u) \ K(w,v5),v6)) = K(x,L(y,u \ L(u,z,z \ 1),v6)). K(x,L(y,z \ L(z,u,u \ 1),w)) != v5 | K(x,L(y,a(u \ 1,u,z) \ 1,w)) = v5. K(a(x \ 1,x,y) \ z,u) = K(y \ (L(y,x,x \ 1) * z),u). K(x \ (L(x,y,y \ 1) * z),u) = K(a(y \ 1,y,x) \ z,u). K(L(x,y,y \ 1) * (x \ z),u) = K(a(y \ 1,y,x) \ z,u). a(x,y * ((y \ z) * u),K(w,L(u \ 1,z,y))) = a(x,z,K(u,w)). a(x,y * ((y \ z) * x),K(u,L(w,z,y))) = a(w,z,K(x,u)). K(x,L(T(y,z \ u),u,z)) * K(x,K(u,z * (y \ (z \ u)))) = K(x,u / (z * (y \ (z \ u)))). K(x,L(T(y,z \ u),u,z)) * u = u * (u / (z * (K(y,x) * (z \ u)))). x * (x / (y * (K(z,u) * (y \ x)))) = K(u,L(T(z,y \ x),x,y)) * x. x != K(y,L(T(z,u \ w),w,u)) * w | x = u * (K(y,T(z,w)) * (u \ w)). x * (x / (y * (K(z,u) * (y \ x)))) = y * (K(u,T(z,x)) * (y \ x)). x * K(y,x / (z * (u \ (z \ x)))) = z * (K(y,T(u,x)) * (z \ x)). K(x,L(T(y,z \ u),u,z)) * K(u,K(x,z * (y \ (z \ u)))) = K(x,u / (z * (y \ (z \ u)))). K(x,L(T(y,z \ u),u,z)) * K(u,K(x,y)) = K(x,u / (z * (y \ (z \ u)))). K(x,L(T(y,z \ u),u,z)) * K(u,K(y,x)) = K(x,u / (z * (y \ (z \ u)))). x != K(y,L(z,u,w)) * K(v5,K(v6,v7)) | x = L(K(y,z) * K(v5,K(v6,v7)),u,w). K(x,y / (z * (u \ (z \ y)))) = L(K(x,T(u,z \ y)) * K(y,K(u,x)),y,z). L(K(x,T(y,z \ u)) * K(u,K(y,x)),u,z) = K(x,u / (z * (y \ (z \ u)))). L(T(K(x,y) * K(z,K(y,x)),u \ z),z,u) = K(x,z / (u * (y \ (u \ z)))). L(T(K(x,T(y,z)),u \ z),z,u) = K(x,z / (u * (y \ (u \ z)))). L(K(x,T(T(y,z),u \ z)),z,u) = K(x,z / (u * (y \ (u \ z)))). K(x,L(T(T(y,z),u \ z),z,u)) = K(x,z / (u * (y \ (u \ z)))). x != K(y,L(T(z,u \ w),v5,v6)) | x = K(y,L(T(z,u * w),v5,v6)). K(x,y / (z * (u \ (z \ y)))) = K(x,L(T(T(u,y),z * y),y,z)). K(x,L(T(T(y,z),u * z),z,u)) = K(x,z / (u * (y \ (u \ z)))). K(x \ (y * (z * (y \ x))),u) = K(z,L(T(u,y * x),x,y)). x * a(y,z * ((z \ u) * w),K(w \ 1,L(u \ x,u,z))) = u * L(u \ x,x,K(w,L(y,u,z))). x * a(y,z * ((z \ u) * y),K(w,L(u \ x,u,z))) = u * L(u \ x,x,K(y,L(w,u,z))). x * a(y \ x,y,K(z,u)) = y * L(y \ x,x,K(z,L(u,y,w))). x * L(x \ y,y,K(z,L(u,x,w))) = y * a(x \ y,x,K(z,u)). x != y * L(y \ z,z,K(y \ u,L(w,y,v5))) | x = z * a(z \ y,u,K((v5 * u) \ (v5 * y),w)). x * a(y \ x,y,K(y \ z,u)) = x * a(x \ y,z,K((w * z) \ (w * y),u)). K(x,L(y * (z \ u),u,z)) = K(x,(z * (y \ 1)) \ u). K(x,(a(y,z,u) * (w \ 1)) \ v5) != v6 | K(x,L(w * (a(y,z,u) \ v5),v5,a(u,z,y) \ 1)) = v6. K(x,a(y,z,u) \ ((w \ 1) \ v5)) != v6 | K(x,L(w * (a(y,z,u) \ v5),v5,a(u,z,y) \ 1)) = v6. K(x,L(y,z,u)) * (T(x,y) \ w) = L(x,z,K(y,u)) \ w. x * y != L(z,u,K(w,v5)) \ v6 | x \ (K(z,L(w,u,v5)) * (T(z,w) \ v6)) = y. K(L(x,y,K(z,u)),w) \ (K(x,L(z,y,u)) * (T(x,z) \ K(L(x,y,K(z,u)),w))) = L(x,y,K(z,u)) \ 1. K(x,y) \ (K(x,L(z,u,w)) * (T(x,z) \ K(L(x,u,K(z,w)),y))) = L(x,u,K(z,w)) \ 1. K(x,y) \ (K(x,L(z,u,w)) * (T(x,z) \ K(x,y))) = L(x,u,K(z,w)) \ 1. K(x,y) \ (L(x,z,K(u,w)) \ K(x,y)) = L(x,z,K(u,w)) \ 1. K(x,y) \ L(x \ K(x,y),z,K(u,w)) = L(x,z,K(u,w)) \ 1. K(x,y) * L(y \ K(y,x),z,K(u,w)) = L(y,z,K(u,w)) \ 1. L(K(x,y) * (y \ K(y,x)),z,K(u,w)) = L(y,z,K(u,w)) \ 1. L(x \ 1,y,K(z,u)) = L(x,y,K(z,u)) \ 1. L(x,y,K(z,u)) \ 1 = L(x \ 1,y,K(z,u)). L(L(L(x \ 1,y,K(z,u)),L(x,y,K(z,u)),y),y * L(x,y,K(z,u)),K(u,z)) = ((K(u,z) * y) * x) \ (K(u,z) * y). L(x,y,K(z,u)) \ 1 = L(x \ 1,y * x,K(z,u)). L(x \ 1,y * x,K(z,u)) = L(x,y,K(z,u)) \ 1. L(L(L(x \ 1,y,K(z,u)),x,y),y * L(x,y,K(z,u)),K(u,z)) = ((K(u,z) * y) * x) \ (K(u,z) * y). x != L(y,z * L(u,w,K(v5,v6)),K(v7,v8)) | x = L(y,z * u,K(v7,v8)). ((K(x,y) * z) * u) \ (K(x,y) * z) = L(L(L(u \ 1,z,K(y,x)),u,z),z * u,K(x,y)). L(L(L(x \ 1,y,K(z,u)),x,y),y * x,K(u,z)) = ((K(u,z) * y) * x) \ (K(u,z) * y). x != L(y,z,K(u,w)) \ 1 | x = L(y \ 1,z,K(u,w)). L(x \ 1,y * x,K(z,u)) = L(x \ 1,y,K(z,u)). L(L(L(x \ 1,y,K(z,u)),x,y),K(z,u) * (y * x),K(u,z)) = (K(u,z) * (K(z,u) * (y * x))) \ y. x != L(y,K(z,u) * w,K(v5,v6)) | x = L(y,w,K(v5,v6)). (K(x,y) * (K(y,x) * (z * u))) \ z = L(L(L(u \ 1,z,K(y,x)),u,z),z * u,K(x,y)). L(L(L(x \ 1,y,K(z,u)),x,y),y * x,K(u,z)) = (K(u,z) * (K(z,u) * (y * x))) \ y. L(L(L(x \ 1,y,K(z,u)),x,y),y * x,K(u,z)) = (y * x) \ y. x != L(L(L(y \ 1,z,K(u,w)),y,z),z * y,K(w,u)) | x = ((K(w,u) * z) * y) \ (K(w,u) * z). (x * y) \ x = ((K(z,u) * x) * y) \ (K(z,u) * x). ((K(x,y) * z) * u) \ (K(x,y) * z) = (z * u) \ z. a(x,y,K(z,y \ u)) != w | a(x,u,K(u \ y,z)) = w. x != a(y,z,K(u / w,v5)) | x = a(y,z,K(w \ u,v5)). a(L(T(x,y * z),z,y),u,K(w,z \ u)) = a(w,z,K((y * z) \ (y * u),x)). a(T(x,y * z),u,K(w,L(z \ u,z,y))) = a(w,z,K((y * z) \ (y * u),x)). x != a(y,z,K(u,L(w \ z,v5,v6))) | x = a(y,w,K(u,w \ z)). a(x,y,K((z * y) \ (z * u),w)) = a(T(w,z * y),y,K(x,y \ u)). a(T(x,y * z),z,K(u,z \ w)) = a(u,z,K((y * z) \ (y * w),x)). a(x,y,K(z,y \ u)) = a(z,y,K((w * y) \ (w * u),x)). a(x,y,K((z * y) \ (z * u),w)) = a(w,y,K(x,y \ u)). x * a(y \ x,y,K(y \ z,u)) = x * a(u,z,K(x \ y,z \ y)). a(x,y \ z,K(y,L(u,(y \ z) * x,y \ 1))) = K(u,((y \ z) * x) \ (y \ (z * x))). x != a(y,z,K(u,L(w,v5,v6))) | x = a(y,z,K(u,w)). K(x,((y \ z) * u) \ (y \ (z * u))) = a(u,y \ z,K(y,x)). x != a(y,z \ u,K(z,w)) | x = a(z,u,K(w,y)). K(x,((y \ z) * u) \ (y \ (z * u))) = a(y,z,K(x,u)). x * y != K(z,((u \ w) * v5) \ (u \ (w * v5))) | x \ a(u,w,K(z,v5)) = y. K(x,K((y \ z) * u,y \ (z * u))) \ a(y,z,K(x,u)) = K(x,(y \ (z * u)) / ((y \ z) * u)). (x * K(y,z)) \ K(y,z) = T(x \ 1,K(y,z)). T(x \ 1,K(y,z)) * K(z,y) = (x * K(y,z)) \ 1. K(x,y) * (z \ 1) = (z * K(y,x)) \ 1. (x * K(y,z)) \ 1 = K(z,y) * (x \ 1). T(x * K(y,z),x \ K(z,y)) = (K(z,y) * (x \ 1)) \ 1. K(x,y / (z / (1 / (u * K(w,v5))))) = K(x,y / (z / (K(v5,w) * (u \ 1)))). (x / T(y,z)) \ 1 = K(y,z) * ((x / y) \ 1). K(x,y) * ((z / x) \ 1) = (z / T(x,y)) \ 1. (x \ K(y,z)) \ 1 = K(z,y) * ((x \ 1) \ 1). K(x,y) * ((z \ 1) \ 1) = (z \ K(y,x)) \ 1. K(x,(K(y,z) * (u \ 1)) \ w) != v5 | K(x,(u * K(z,y)) * w) = v5. K(x / (K(y,z) * (u \ 1)),w) != v5 | K(x * (u * K(z,y)),w) = v5. K(x,(y * K(z,u)) * w) = K(x,K(z,u) * ((y \ 1) \ w)). K(x,K(y,z) * ((u \ 1) \ w)) = K(x,(u * K(y,z)) * w). K(x,(y * K(z,u)) * w) = K(x,(y \ K(u,z)) \ w). K(x,(y \ K(z,u)) \ w) = K(x,(y * K(u,z)) * w). K(x,K(y,z) * ((u \ 1) \ w)) != v5 | K(x,(u * K(y,z)) * w) = v5. K(x,(y * K(z,u)) * w) = K(x,y * (w * K(z,u))). K((x * y) \ ((x * K(z,u)) * y),(x * K(z,u)) * y) = K(K(z,L(T(u,x),x,y)),x * (y * K(z,u))). K(x,(K(y,z) / u) \ w) = K(x,u * (w * K(z,y))). x != K(y,((z \ u) * K(u \ w,u)) * v5) | x = K(y,(z \ T(w / (w / u),u)) * v5). K(x,(y \ z) * (u * K(z \ w,z))) = K(x,(y \ T(w / (w / z),z)) * u). K(x,(y \ T(z / (z / u),u)) * w) = K(x,(y \ u) * (w * K(u \ z,u))). K(x,(y \ T(z,u)) * w) = K(x,(y \ z) * (w * K(z,u))). K(x,(y \ z) * (u * K(z,w))) = K(x,(y \ T(z,w)) * u). K(x,(y \ z) * (u * K(w,z))) = K(x,(y \ T(z,w)) * u). 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,K(y,z) * ((u \ z) * w)) = K(x,(u \ T(z,y)) * w). K(x,K(y,z) * ((u \ y) * w)) = K(x,(u \ T(y,z)) * w). K(x,(y \ z) * (K(z,u) * w)) = K(x,(y \ T(z,u)) * w). K(x,(y \ T(z,T(u,w))) * v5) = K(x,(y \ T(z,u)) * v5). K(x,(y \ T(z,u * w)) * v5) = K(x,(y \ T(z,w * u)) * v5). x != K(y,(z \ T(u,w * v5)) * v6) | x = K(y,(z \ T(u,v5 * w)) * v6). K(x,(y \ T(z,T(u * w,v5))) * v6) = K(x,(y \ T(z,w * u)) * v6). K(x,(y \ z) * (K(z,u) * w)) = K(x,(y \ T(z,T(u,v5))) * w). K(x,(y \ T(z,T(u,w))) * v5) = K(x,(y \ z) * (K(z,u) * v5)). x != K(y,z * (K(u,a(w,v5,v6) * v7) * v8)) | x = K(y,K(v7,u) * (z * v8)). K(x,(y \ T(z,T(a(u,w,v5) * v6,v7))) * v8) = K(x,K(v6,z) * ((y \ z) * v8)). K(x,K(y,z) * ((u \ z) * w)) = K(x,(u \ T(z,T(a(v5,v6,v7) * y,v8))) * w). K(x,K(y,z) * ((u \ y) * w)) = K(x,(u \ T(y,y * z)) * w). K(x,(y \ T(z,z * u)) * w) = K(x,K(z,u) * ((y \ z) * w)). x != K(y,K(z,u) * ((w \ z) * v5)) | x = K(y,(w \ T(z,u)) * v5). K(x,(y \ T(z,z * u)) * w) = K(x,(y \ T(z,u)) * w). x != K(y,K(z,u) * (w * v5)) | x = K(y,w * (v5 * K(u,z))). K(x,(y \ T(z,z * u)) * w) = K(x,(y \ z) * (w * K(u,z))). x != K(y,K(z,u) * ((w \ u) * v5)) | x = K(y,(w \ T(u,T(a(v6,v7,v8) * z,v9))) * v5). K(x,(y \ T(z,u)) * w) = K(x,(y \ T(z,T(a(v5,v6,v7) * u,v8))) * w). K(x,(y \ T(z,T(a(u,w,v5) * v6,v7))) * v8) = K(x,(y \ T(z,v6)) * v8). x != K(y,(z \ T(u,T(w * v5,v6))) * v7) | x = K(y,(z \ T(u,v5 * w)) * v7). K(x,(y \ T(z,u)) * w) = K(x,(y \ T(z,u * a(v5,v6,v7))) * w). K(x,(y \ T(z,u * a(w,v5,v6))) * v7) = K(x,(y \ T(z,u)) * v7). K(x,y) \ (a(x,z \ 1,K(y,z * (u * K(y,x)))) * u) = (1 / z) * ((K(x,y) * (1 / z)) \ u). K(x,y) \ (a(x,z \ 1,K(y,z * u)) * u) = (1 / z) * ((K(x,y) * (1 / z)) \ u). K(x,y) * (a(y,z \ 1,K(x,z * u)) * u) = (1 / z) * ((K(y,x) * (1 / z)) \ u). x != K(y,z) * (a(z,u,K(y,w)) * v5) | x = K(y,L(z,u,w)) * v5. (1 / x) * ((K(y,z) * (1 / x)) \ u) = K(z,L(y,x \ 1,x * u)) * u. K(x,L(y,z \ 1,z * u)) * u = (1 / z) * ((K(y,x) * (1 / z)) \ u). K(x,L(y,z \ 1,z * u)) * u = (1 / z) * ((K(y,x) / z) \ u). K((x * y) \ ((x * K(z,u)) * y),(x * K(z,u)) * y) = K(z,K(L(T(u,x),x,y),x * (y * K(z,u)))). K((x * y) \ ((x * K(z,u)) * y),(x * K(z,u)) * y) = K(z,K(L(u,x,y),T(x * (y * K(z,u)),x))). K((x * y) \ ((x * K(z,u)) * y),(x * K(z,u)) * y) = K(z,K(L(u,x,y),(y * K(z,u)) * x)). x != K(y,K(z,(u * K(w,v5)) * v6)) | x = K(y,K(z,v6 * u)). K((x * y) \ ((x * K(z,u)) * y),(x * K(z,u)) * y) = K(z,K(L(u,x,y),x * y)). x != K(y,K(L(z,u,w),v5)) | x = K(y,K(z,v5)). K((x * y) \ ((x * K(z,u)) * y),(x * K(z,u)) * y) = K(z,K(u,x * y)). K(K(x,(y * (z * u)) / (y * u)),(u * K(x,z)) * y) = K(x,K(z,u * y)). x != K(y,(z * K(u,w)) * v5) | x = K(y,z * (v5 * K(u,w))). K(x,K(y,z * u)) = K(K(x,(u * (y * z)) / (u * z)),z * (u * K(x,y))). K(K(x,(y * (z * u)) / (y * u)),u * (y * K(x,z))) = K(x,K(z,u * y)). K(x,K((y * (z * u)) / (y * u),u * (y * K(x,z)))) = K(x,K(z,u * y)). K(x,K((y * z) \ ((y * u) * z),y * (z * K(x,u)))) = K(x,K(u,y * z)). K(x,K((y * z) \ ((y * u) * z),z * y)) = K(x,K(u,y * z)). x != K(y,K((z * u) \ w,u * z)) | x = K(y,K(z * u,w)). 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 * u)) * K(x,R(y * K(z,y),z,u)) = K(x,(z * u) \ ((z * y) * u)). K(x,K(y,z * u)) * K(y,R(x * K(z,x),z,u)) = K(y,(z * u) \ ((z * x) * u)). K(x,K(y,z * u)) * K(y,L(x * K(z,x),z,u)) = K(y,(z * u) \ ((z * x) * u)). K(x,K(y,z * u)) * K(y,L(T(x,z),z,u)) = K(y,(z * u) \ ((z * x) * u)). x != K(y,K(z,u)) * K(w,L(v5,v6,v7)) | x = L(K(w,v5) * K(y,K(z,u)),v6,v7). K(x,(y * z) \ ((y * u) * z)) = L(K(x,T(u,y)) * K(u,K(x,y * z)),y,z). L(K(x,T(y,z)) * K(y,K(x,z * u)),z,u) = K(x,(z * u) \ ((z * y) * u)). L(K(x,T(T(y,z),z * u)),z,u) = K(x,(z * u) \ ((z * y) * u)). K(x,L(T(T(y,z),z * u),z,u)) = K(x,(z * u) \ ((z * y) * u)). K(x,(y * (z * u)) / (y * u)) = K(x,(u * y) \ ((u * z) * y)). K(x,L(T(T(y,z),u * z),z,u)) = K(x,(z * u) \ ((z * y) * u)). x != K(y,L(T(T(z,u),w * u),u,w)) | x = K(y,u / (w * (z \ (w \ u)))). K(x,(y * z) \ ((y * u) * z)) = K(x,y / (z * (u \ (z \ y)))). K(x,y / (z * (u \ (z \ y)))) = K(x,(y * z) \ ((y * u) * z)). x != K(y,L(T(T(z,u),w * u),u,w)) | x = K((u * w) \ ((u * y) * w),z). K(x,(y * z) \ ((y * u) * z)) = K((y * z) \ ((y * x) * z),u). K((x * y) \ ((x * z) * y),u) = K(z,(x * y) \ ((x * u) * y)). x * K(y,(x * z) \ ((x * u) * z)) = z * (K(y,T(u,x)) * (z \ x)). x * y != z * (K(u,T(w,x)) * (z \ x)) | y = K(u,(z * (w * (z \ x))) / x). K(x,(y * z) \ ((y * u) * z)) = K(x,(z * (u * (z \ y))) / y). K(x,(y * (z * (y \ u))) / u) = K(x,(u * y) \ ((u * z) * y)). K(x,(y * z) \ ((y * u) * z)) = (z * (u * (z \ y))) / (y * T(y \ (z * (u * (z \ y))),x)). (x * (y * (x \ z))) / (z * T(z \ (x * (y * (x \ z))),u)) = K(u,(z * x) \ ((z * y) * x)). x / (K(y,(z * u) \ ((z * w) * u)) * x) = K((u * (w * (u \ z))) / z,y). K((x * y) \ ((x * z) * y),u) = K((y * (z * (y \ x))) / x,u). K((x * (y * (x \ z))) / z,u) = K((z * x) \ ((z * y) * x),u). (x * (y * (x \ z))) / (x * (T(y,u) * (x \ z))) = K(u,(z * x) \ ((z * y) * x)). x != K((y * z) \ ((y * u) * z),w) | x = K((z * (u * (z \ y))) / y,w). K(x,(y * z) \ ((y * u) * z)) = K((z * (x * (z \ y))) / y,u). K((x * (y * (x \ z))) / z,u) = K(y,(z * x) \ ((z * u) * x)). K(x \ (y * (z * (y \ x))),u / x) = K(z,(x * y) \ ((x * (x \ u)) * y)). K(x \ (y * (z * (y \ x))),u / x) = K(z,(x * y) \ (u * y)). x != K(y \ (z * (u * (z \ y))),w) | x = K(u,L(T(w,z * y),y,z)). K(x,(y * z) \ (u * z)) = K(x,L(T(u / y,z * y),y,z)). K(x,L(T(y / z,u * z),z,u)) = K(x,(z * u) \ (y * u)). x != K(y,(z * (u * w)) / (z * w)) | x = ((w * K(u,y)) * z) \ (w * z). K(x,(y * z) \ ((y * u) * z)) = ((y * K(u,x)) * z) \ (y * z). ((x * K(y,z)) * u) \ (x * u) = K(z,(x * u) \ ((x * y) * u)). x != K(y,(z * (u * w)) / (z * w)) | x = (z * (u * w)) / (z * (T(u,y) * w)). K(x,(y * z) \ ((y * u) * z)) = (z * (u * y)) / (z * (T(u,x) * y)). (x * (y * z)) / (x * (T(y,u) * z)) = K(u,(z * x) \ ((z * y) * x)). (x * y) * K(z,(y * x) \ ((y * u) * x)) = (y * K(z,u)) * T(x,y). x != ((y * K(z,u)) * w) \ (y * w) | x = ((y * K(z,u)) * T(w,y)) \ (w * y). K(x,(y * z) \ ((y * u) * z)) = ((y * K(u,x)) * T(z,y)) \ (z * y). ((x * K(y,z)) * T(u,x)) \ (u * x) = K(z,(x * u) \ ((x * y) * u)). x != (y * (z * (y \ u))) / (y * (T(z,w) * (y \ u))) | x = K(w,(u * y) \ ((u * z) * y)). K(x,((y \ z) * y) \ (((y \ z) * u) * y)) = K(x,(z * y) \ ((z * u) * y)). K(x,y \ (((y / z) * u) * z)) = K(x,(y * z) \ ((y * u) * z)). K(x,(y * z) \ ((y * u) * z)) = K(x,y \ (((y / z) * u) * z)). K(x,L((y * z) \ ((y * u) * z),w,v5)) = K((w * v5) / ((x \ w) * v5),y \ (((y / z) * u) * z)). K((x * y) / ((z \ x) * y),u \ (((u / w) * v5) * w)) = K(z,L((u * w) \ ((u * v5) * w),x,y)). x != K(y,(z * u) \ ((z * w) * u)) | x = ((z * K(w,y)) * T(u,z)) \ (u * z). K(x,y \ (((y / z) * u) * z)) = ((y * K(u,x)) * T(z,y)) \ (z * y). ((x * K(y,z)) * T(u,x)) \ (u * x) = K(z,x \ (((x / u) * y) * u)). (x * y) * K(z,y \ (((y / x) * u) * x)) = (y * K(z,u)) * T(x,y). ((x * K(y,z)) * T(u,x)) \ (u * x) = K(x \ (((x / u) * z) * u),y). K(x,y) * ((x * K(z,u)) * T(y,x)) = (x * y) * K(z,x \ (((x / y) * u) * y)). (x * y) * K(z,x \ (((x / y) * u) * y)) = K(x,y) * ((x * K(z,u)) * T(y,x)). (x * y) * K(z,x \ (((x / y) * u) * y)) != w * v5 | w \ ((x * K(z,u)) * y) = v5. x \ ((x * K(y,z)) * u) = u * K(y,L(x \ (((x / u) * z) * u),u,x \ 1)). x * K(y,L(z \ (((z / x) * u) * x),x,z \ 1)) = z \ ((z * K(y,u)) * x). x != ((y * K(z,u)) * T(w,y)) \ (w * y) | x = K(y \ (((y / w) * u) * w),z). K(x,y \ (((y / z) * u) * z)) = K(y \ (((y / z) * x) * z),u). K(x \ (((x / y) * z) * y),u) = K(z,x \ (((x / y) * u) * y)). K(x \ (((x / y) * z) * y),L(u,w,v5)) = K(z,x \ (((x / y) * L(u,w,u \ v5)) * y)). K(x,y \ (((y / z) * L(u,w,u \ v5)) * z)) = K(y \ (((y / z) * x) * z),L(u,w,v5)). R(K(x \ (((x / y) * z) * y),u),w,v5) = K(z,x \ (((x / y) * L(u,w,v5)) * y)). R(K(x,y \ (((y / z) * u) * z)),w,v5) = K(x,y \ (((y / z) * L(u,w,v5)) * z)). K(x,L(y \ (((y / z) * u) * z),w,v5)) = K(x,y \ (((y / z) * L(u,w,v5)) * z)). K(x,y \ (((y / z) * L(u,w,v5)) * z)) = K(x,L(y \ (((y / z) * u) * z),w,v5)). K(x,y \ (((y / z) * L(u,w,v5)) * z)) != v6 | K(x,L(y \ (((y / z) * u) * z),w,v5)) = v6. x != K(y \ (((y / z) * u) * z),w) | x = K(u,y \ (((y / z) * w) * z)). K(x,y \ (((y / z) * L(u,w,u \ v5)) * z)) = K(x,y \ (((y / z) * L(u,w,v5)) * z)). x != K(y,z \ (((z / u) * L(w,v5,v6)) * u)) | x = K(y,L(z \ (((z / u) * w) * u),v5,v6)). K(x,y \ (((y / z) * L(u,w,u \ v5)) * z)) = K(x,L(y \ (((y / z) * u) * z),w,v5)). K(x,L(y \ (((y / z) * u) * z),w,u \ v5)) = K(x,L(y \ (((y / z) * u) * z),w,v5)). K(x,L(y \ (((y / z) * u) * z),w,v5)) = K(x,L((y * z) \ ((y * u) * z),w,v5)). K(x,L((y * z) \ ((y * u) * z),w,v5)) = K(x,L(y \ (((y / z) * u) * z),w,v5)). x != K(y,L(z \ (u * w),w,u \ 1)) | x = K(y,(u \ z) \ w). K(x,L(y \ (((y / z) * u) * z),z,(y * u) \ 1)) = K(x,((y * u) \ (y * z)) \ z). K(x,L(y \ (((y / z) * u) * z),z,y \ 1)) = K(x,z \ (y \ ((y * u) * z))). K(x,L(y \ (((y / z) * u) * z),z,u \ (y \ 1))) = K(x,((y * u) \ (y * z)) \ z). x != K(y,L(z \ (((z / u) * w) * u),v5,w \ v6)) | x = K(y,L(z \ (((z / u) * w) * u),v5,v6)). K(x,((y * z) \ (y * u)) \ u) = K(x,L(y \ (((y / u) * z) * u),u,y \ 1)). K(x,L(y \ (((y / z) * u) * z),z,y \ 1)) = K(x,((y * u) \ (y * z)) \ z). x != K(y,L(z \ (((z / u) * w) * u),u,z \ 1)) | x = K(y,((z * w) \ (z * u)) \ u). K(x,y \ (z \ ((z * u) * y))) = K(x,((z * u) \ (z * y)) \ y). K(x,((y * z) \ (y * u)) \ u) = K(x,u \ (y \ ((y * z) * u))). x * K(y,x \ (z \ ((z * u) * x))) = z \ ((z * K(y,u)) * x). K(x,(y \ (z * u)) \ u) = K(x,u \ (z \ ((z * (z \ y)) * u))). K(x,y \ (z \ ((z * (z \ u)) * y))) = K(x,(u \ (z * y)) \ y). 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 * K(z,u)) * w) != v5 | K(x,y * (w * K(z,u))) = v5. K(x,(y \ K(z,u)) \ w) = K(x,y * (w * K(u,z))). K(x,(y \ K(z,u)) \ w) != v5 | K(x,y * (w * K(u,z))) = v5. x != K(y,z * (u * K(w * v5,w))) | x = K(y,z * (u * K(w,v5))). K(x,(y \ K(z,z * u)) \ w) = K(x,y * (w * K(z,u))). K(x * (y * K(z,u)),w) = K(x / (y \ K(u,z)),w). K(x / (y \ K(z,u)),w) = K(x * (y * K(u,z)),w). K(x * ((y \ 1) \ K(z,u)),w) != v5 | K(x * (y * K(z,u)),w) = v5. K(K(x,y) * (z / (u \ 1)),w) != v5 | K(z * (u * K(y,x)),w) = v5. K(x * (y * K(z \ u,w)),v5) = K(K(w,u * z) * (x / (y \ 1)),v5). K(K(x,y * z) * (u / (w \ 1)),v5) = K(u * (w * K(z \ y,x)),v5). K(x * (y * K(z * u,w)),v5) = K(x * (y * K(u \ z,w)),v5). K(x * (y * K(z \ u,w)),v5) = K(x * (y * K(u * z,w)),v5). (x * y) / (K(z * (u * K(w * v5,v6)),x) * y) = T(x,z * (u * K(v5 \ w,v6))). T(x,y * (z * K(u * w,v5))) = T(x,y * (z * K(w \ u,v5))). T(x,y * (z * K(u \ w,v5))) = T(x,y * (z * K(w * u,v5))). x * y != T(z,u * (w * K(v5 \ v6,v7))) | x \ T(z,u * (w * K(v6 * v5,v7))) = y. K(x,y) \ T(T(x,y),y * (z * K(u * w,v5))) = T(x,(z * K(w \ u,v5)) * y). K(x,y) * T(T(y,x),x * (z * K(u * w,v5))) = T(y,(z * K(w \ u,v5)) * x). T(K(x,y) * T(y,x * (z * K(u * w,v5))),x) = T(y,(z * K(w \ u,v5)) * x). T(T(x * K(y,x),(z * K(u * w,v5)) * y),y) = T(x,(z * K(w \ u,v5)) * y). x != K(T(y \ z,K(y,u)) / (w \ K(y \ u,y)),v5) | x = K(((u / (u / y)) \ z) * w,L(v5,w \ 1,K(y \ u,y))). K(T(x \ y,K(x,z)) * (u * K(x,x \ z)),w) = K(((z / (z / x)) \ y) * u,L(w,u \ 1,K(x \ z,x))). x != K(y * (z * K(u,u \ w)),v5) | x = K(y * (z * K(u,w)),v5). K(((x / (x / y)) \ z) * u,L(w,u \ 1,K(y \ x,y))) = K(T(y \ z,K(y,x)) * (u * K(y,x)),w). x != K(T(y,K(z,u)) * w,v5) | x = K(y * w,v5). K(((x / (x / y)) \ z) * u,L(w,u \ 1,K(y \ x,y))) = K((y \ z) * (u * K(y,x)),w). x != K((y \ z) * (u * K(y,w)),v5) | x = K((T(y,w) \ z) * u,v5). K(((x / (x / y)) \ z) * u,L(w,u \ 1,K(y \ x,y))) = K((T(y,x) \ z) * u,w). K(((x / (x / y)) \ z) * u,w) = K((T(y,x) \ z) * u,w). x != K(((y / (y / z)) \ u) * w,v5) | x = K((T(z,z \ y) \ u) * w,v5). K((T(x,y) \ z) * u,w) = K((T(x,x \ y) \ z) * u,w). K((T(x,x \ y) \ z) * u,w) = K((T(x,y) \ z) * u,w). K(((x / y) \ z) * u,w) = K((T(y \ x,x) \ z) * u,w). K((T(x \ y,y) \ z) * u,w) = K(((y / x) \ z) * u,w). x / (K(((y / z) \ u) * w,v5) * x) = K(v5,(T(z \ y,y) \ u) * w). K(x,(T(y \ z,z) \ u) * w) = v5 / (K(((z / y) \ u) * w,x) * v5). K(x,(T(y \ z,z) \ u) * w) = K(x,((z / y) \ u) * w). K(x,(T(y \ (z * y),z * y) \ u) * w) = K(x,(z \ u) * w). K(x,(T(T(y,z),y * z) \ u) * w) = K(x,(y \ u) * w). x != K(y,(T(T(z,u),z * w) \ v5) * v6) | x = K(y,(T(T(z,u),w) \ v5) * v6). K(x,(y \ z) * u) = K(x,(T(T(y,w),w) \ z) * u). K(x,(T(T(y,z),z) \ u) * w) = K(x,(y \ u) * w). x != K((T(y,y \ z) \ u) * w,v5) | x = K((((y \ z) \ z) \ u) * w,v5). K((T(x,y) \ z) * u,w) = K((((x \ y) \ y) \ z) * u,w). K((((x \ y) \ y) \ z) * u,w) = K((T(x,y) \ z) * u,w). K((((x \ y) \ y) \ z) * u,T(w,u)) = K(u * (T(x,y) \ z),w). K(x * (((y \ z) \ z) \ u),w) = K(x * (T(y,z) \ u),w). K(x * (T(y \ z,y) \ u),w) = K(x * (T(y \ z,z) \ u),w). K(x * (T(y \ z,z) \ u),w) = K(x * (T(y \ z,y) \ u),w). x != K(y * (T(z \ u,z) \ w),v5) | x = K(y * ((u / z) \ w),v5). K(x * (T(y \ z,z) \ u),w) = K(x * ((z / y) \ u),w). x / (K(y * ((z / u) \ w),v5) * x) = K(v5,y * (T(u \ z,z) \ w)). K(x,y * (T(z \ u,u) \ w)) = v5 / (K(y * ((u / z) \ w),x) * v5). K(x,y * (T(z \ u,u) \ w)) = K(x,y * ((u / z) \ w)). K(x,y * ((z / u) \ T(w,T(u \ z,z)))) = K(x,y * (w / T(u \ z,z))). K(x,y * ((z / u) \ T(w,z / u))) = K(x,y * (w / T(u \ z,z))). K(x,y * (z / T(u \ w,w))) = K(x,y * (z / (w / u))). x != K(y,z * (u / T((w \ v5) \ v5,v6))) | x = K(y,z * (u / T(T(w,v6),v5))). K(x,y * (z / (u / (w \ u)))) = K(x,y * (z / T(T(w,u),u))). K(x,y * (z / u)) = K(x,y * (z / T(T(u,w),w))). K(x,y * (z / T(T(u,w),w))) = K(x,y * (z / u)). K(x,y * (T(z,u) / w)) = K(x,y * (T(w,z) \ T(z,u))). K(x,y * (T(z,u) \ T(u,w))) = K(x,y * (T(u,w) / z)). x * y != K(z,u * (T(w,v5) \ T(v5,v6))) | x \ K(z,u * (T(v5,v6) / w)) = y. K(x,K(T(y,z) \ T(z,u),w)) \ K(x,w * (T(z,u) / y)) = K(x,(T(y,z) \ T(z,u)) * w). K(x,K(T(y,z) / u,w)) \ K(x,w * (T(y,z) / u)) = K(x,(T(u,y) \ T(y,z)) * w). K(x,K(y,z \ u)) \ K(x,y * (T(u,w) / z)) = K(x,(T(z,u) \ T(u,w)) * y). x != K(y,K(z,u \ w)) \ K(y,z * (T(w,v5) / u)) | x = K(y,(T(w,v5) / u) * z). K(x,(T(y,z) \ T(z,u)) * w) = K(x,(T(z,u) / y) * w). x * y != K(z,(T(u,w) / v5) * v6) | T(x,y) = y \ K(z,(T(v5,u) \ T(u,w)) * v6). T(K(x,y * (T(z,u) / w)),K(x,K(y,w * T(z,u)))) = K(x,K(y,w * T(z,u))) \ K(x,(T(w,z) \ T(z,u)) * y). K(x,K(y,z * T(u,w))) \ K(x,(T(z,u) \ T(u,w)) * y) = T(K(x,y * (T(u,w) / z)),K(x,K(y,z * T(u,w)))). x != T(K(y,z),K(u,w)) | x = K(y,z). K(x,K(y,z * T(u,w))) \ K(x,(T(z,u) \ T(u,w)) * y) = K(x,y * (T(u,w) / z)). K(x,K(y,z * u)) \ K(x,(T(z,u) \ T(u,w)) * y) = K(x,y * (T(u,w) / z)). K(x,K(y,z * u)) \ K(x,(T(u,w) / z) * y) = K(x,y * (T(u,w) / z)). K(x,K(y,z * u)) * K(x,(T(u,w) / z) * y) = K(x,y * (T(u,w) / z)). ((x / T(y,z)) \ 1) * (u / (K(y,z) * ((x / y) \ 1))) = (K(y,z) / (x / y)) * (u / (K(y,z) / (x / y))). ((x / T(y,z)) \ 1) * (u / ((x / T(y,z)) \ 1)) = (K(y,z) / (x / y)) * (u / (K(y,z) / (x / y))). x != (K(y,z) * u) \ 1 | x = u \ K(z,y). T(x * K(y,z),x \ K(z,y)) = (x \ 1) \ K(y,z). K(x,y / (z / T(1 / u,w))) = K(x,y / (z / (K(u \ 1,w) * (u \ 1)))). K(x,y / (z / (K(u \ 1,w) * (u \ 1)))) = K(x,y / (z / T(1 / u,w))). K(x,y / (z / T(u \ 1,w))) = K(x,y / (z / T(1 / u,w))). K(x,y / (z / T(1 / u,w))) = K(x,y / (z / T(u \ 1,w))). (K(x,y) / z) \ K(u,w) = z * (K(u,w) * K(y,x)). K(x * (y * (K(z,u * w) * K(y \ K(z,w * u),y))),v5) = K(x * (K(z,w \ u) * y),v5). K((K(x,y) / z) \ u,w) = K(z * (u * K(x,y)),w). x != K(y / (z / (z / u)),w) | x = K(y / T(u,z),w). K(x \ (K(y,y \ z) * (y \ 1)),u) = K((x \ 1) / T(y,z),u). x != K((y \ 1) / z,u) | x = K(y \ (z \ 1),u). K(x \ (K(y,y \ z) * (y \ 1)),u) = K(x \ (T(y,z) \ 1),u). K(x \ ((y / (y / z)) \ 1),u) = K(x \ (T(z,y) \ 1),u). (L(x \ 1,y,z) \ 1) \ T(L(x \ 1,y,z) \ 1,u * w) = T(K(x,L(u / (w \ 1),y,z)),L((x \ 1) \ 1,y,z)). (L(x \ 1,y,z) \ 1) \ T(L(x \ 1,y,z) \ 1,u * w) = T(K(x,L(u / (w \ 1),y,z)),L(T(x,1),y,z)). (L(x \ 1,y,z) \ 1) \ T(L(x \ 1,y,z) \ 1,u * w) = T(K(x,L(u / (w \ 1),y,z)),L(x,y,z)). (L(x \ 1,y,z) \ 1) \ T(L(x \ 1,y,z) \ 1,u * w) = K(x,L(u / (w \ 1),y,z)). K(L(x \ 1,y,z) \ 1,u * w) = K(x,L(u / (w \ 1),y,z)). K((x \ 1) \ 1,L(y * z,u,w)) = K(x,L(y / (z \ 1),u,w)). K(x,L(y / (z \ 1),u,w)) != v5 | K(x,L(y * z,u,w)) = v5. K(x,L(y * (y \ z),y,u)) = K(x,(u * ((y \ z) \ 1)) \ (u * T(y,z))). K(x,L((y / z) * u,y,z)) = K(x,y / ((u \ 1) * z)). K(x,L(y,z,u)) = K(x,(u * ((z \ y) \ 1)) \ (u * T(z,y))). K(x,(y * ((z \ u) \ 1)) \ (y * T(z,u))) = K(x,L(u,z,y)). x != K(y,L((z / (u \ w)) * K(u,v5),z,u \ w)) | x = K(y,z / (((v5 \ u) * v5) \ w)). K(x,y / ((K(z,u) \ 1) * (z \ w))) = K(x,y / (((u \ z) * u) \ w)). K(x,y / (((z \ u) * z) \ w)) = K(x,y / ((K(u,z) \ 1) * (u \ w))). x != K(y,L((z / (u \ w)) * K(u,v5),z,u \ w)) | x = K(y,z / ((v5 * (u / v5)) \ w)). K(x,y / ((K(z,u) \ 1) * (z \ w))) = K(x,y / ((u * (z / u)) \ w)). K(x,y / ((z * (u / z)) \ w)) = K(x,y / ((K(u,z) \ 1) * (u \ w))). K(x,y / ((z * (u / z)) \ w)) = K(x,y / (K(z,u) * (u \ w))). 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,z) \ w)). K(x,y / (T(z * u,u) \ w)) = K(x,y / ((u * z) \ w)). K(x,y / (z / (u * z))) = K(x,y / ((z * u) \ z)). K(x,y / (((z \ u) * z) \ w)) = K(x,y / (K(z,u) * (u \ w))). 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)). x != K(y,z / (T(u,w) \ v5)) | x = K(y,K(w,u) * (z / (u \ v5))). K(x,y / ((z * u) \ w)) = K(x,K(u,u * z) * (y / ((u * z) \ w))). K(x,K(y,y * z) * (u / ((y * z) \ w))) = K(x,u / ((z * y) \ w)). K(x,K(y,K(z,u * K(y,z))) * (w / ((K(y,z) * u) \ v5))) = K(x,w / ((u * K(y,z)) \ v5)). K(x,K(y,K(z,u)) * (w / ((K(y,z) * u) \ v5))) = K(x,w / ((u * K(y,z)) \ v5)). x != K(y,z * (u / ((K(w,v5) * v6) \ v7))) | x = K(y,z * (u / (v6 \ (K(v5,w) * v7)))). K(x,y / ((z * K(u,w)) \ v5)) = K(x,K(u,K(w,z)) * (y / (z \ (K(w,u) * v5)))). K(x,K(y,K(z,u)) * (w / (u \ (K(z,y) * v5)))) = K(x,w / ((u * K(y,z)) \ v5)). K(x,y / (z \ (K(u,w) * v5))) = K(x,y / ((z * K(w,u)) \ v5)). K(x,y / ((z * K(u,w)) \ v5)) = K(x,y / (z \ (K(w,u) * v5))). x != K(y,z / (u \ (K(w,v5) * v6))) | x = K(y,z * ((u \ v6) \ K(v5,w))). K(x,y / ((z * K(u,w)) \ v5)) = K(x,y * ((z \ v5) \ K(u,w))). K(x,y / ((z \ K(u,w)) \ v5)) = K(x,y * (((z \ 1) \ v5) \ K(u,w))). K(x,y * (((z \ 1) \ u) \ K(w,v5))) = K(x,y / ((z \ K(w,v5)) \ u)). K(x,K(y,z) * (u / ((w \ 1) \ v5))) = K(x,u / ((w \ K(y,z)) \ v5)). K(x,y / ((z \ K(z * u,w)) \ u)) != v5 | K(x,y / T((1 / z) \ u,w)) = v5. K(x,y / T((z \ 1) \ u,w)) = K(x,y / ((z \ K(z * u,w)) \ u)). K(x,y / ((z \ K(z * u,w)) \ u)) = K(x,y / T((z \ 1) \ u,w)). K(x,y / T((1 / z) \ u,w)) = K(x,y / T((z \ 1) \ u,w)). T(x,T(y / z,u)) = T(x,T(y * (z \ 1),u)). T(x,T(y * (z \ 1),u)) = T(x,T(y / z,u)). K(x,L(T((1 / y) \ z,u / y),y \ 1,u)) = K(x,(u * z) / (u * (1 / y))). x != K(y,L(T(z,u / w),v5,v6)) | x = K(y,L(T(z,w * u),v5,v6)). K(x,(y * z) / (y * (1 / u))) = K(x,L(T((1 / u) \ z,u * y),u \ 1,y)). K(x,L(T((1 / y) \ z,y * u),y \ 1,u)) = K(x,(u * z) / (u * (1 / y))). x != K(y,L(T((1 / z) \ u,w),v5,v6)) | x = K(y,L(T(z * u,w),v5,v6)). K(x,(y * z) / (y * (1 / u))) = K(x,L(T(u * z,u * y),u \ 1,y)). K(x,L(T(y * z,y * u),y \ 1,u)) = K(x,(u * z) / (u * (1 / y))). x != K(y,z / (u * (1 / w))) | x = K(y,z / (u * (w \ 1))). K(x,L(T(y * z,y * u),y \ 1,u)) = K(x,(u * z) / (u * (y \ 1))). K(x,L(T((y * (z \ 1)) * u,(y * (z \ 1)) * (y / z)),(y * (z \ 1)) \ 1,y / z)) = K(x,((y / z) * u) / ((y * (z \ 1)) \ ((y / z) * 1))). K(x,L(T((y * (z \ 1)) * u,(y / z) * (y * (z \ 1))),(y * (z \ 1)) \ 1,y / z)) = K(x,((y / z) * u) / ((y * (z \ 1)) \ ((y / z) * 1))). K(x,L(T((y * (z \ 1)) * u,(y / z) * (y * (z \ 1))),(y * (z \ 1)) \ 1,z \ y)) = K(x,((y / z) * u) / ((y * (z \ 1)) \ ((y / z) * 1))). x != K(y,L(z,(u * (w \ 1)) \ v5,w \ u)) | x = K(y,L(z,v5,w \ u)). K(x,((y / z) * u) / ((y * (z \ 1)) \ ((y / z) * 1))) = K(x,L(T((y * (z \ 1)) * u,(y / z) * (y * (z \ 1))),1,z \ y)). K(x,L(T((y * (z \ 1)) * u,(y / z) * (y * (z \ 1))),1,z \ y)) = K(x,((y / z) * u) / ((y * (z \ 1)) \ ((y / z) * 1))). K(x,T((y * (z \ 1)) * u,(y / z) * (y * (z \ 1)))) = K(x,((y / z) * u) / ((y * (z \ 1)) \ ((y / z) * 1))). K(x,((y / z) * u) / ((y * (z \ 1)) \ ((y / z) * 1))) = K(x,T((y * (z \ 1)) * u,(y / z) * (y * (z \ 1)))). x != K(y,T(z,u * (w * (v5 \ v6)))) | x = K(y,T(z,u * (w * (v6 * v5)))). K(x,((y / z) * u) / ((y * (z \ 1)) \ ((y / z) * 1))) = K(x,T((y * (z \ 1)) * u,(y / z) * (y * (1 * z)))). K(x,((y / z) * u) / ((y * (z \ 1)) \ ((y / z) * 1))) = K(x,T((y * (z \ 1)) * u,(y / z) * (y * z))). x != K(y,T(z,u * w)) | x = K(y,T(z,w * u)). K(x,((y / z) * u) / ((y * (z \ 1)) \ ((y / z) * 1))) = K(x,T((y * (z \ 1)) * u,(y * z) * (y / z))). K((x \ y) \ ((z / (z / x)) \ 1),u) != w | K(y \ K(x,x \ z),u) = w. K(x \ K(y,y \ z),u) = K((y \ x) \ (T(y,z) \ 1),u). K((x \ y) \ (T(x,z) \ 1),u) = K(y \ K(x,x \ z),u). T(x,y \ (z \ 1)) = T(x,(z * y) \ 1). T(x,(y * z) \ 1) = T(x,z \ (y \ 1)). x != T(y,(((z * u) \ z) * u) \ 1) | x = T(y,a(z * u,(z * u) \ z,u)). T(x,y \ (((z * y) \ z) \ 1)) = T(x,a(z * y,(z * y) \ z,y)). T(x,a(y * z,(y * z) \ y,z)) = T(x,z \ (((y * z) \ y) \ 1)). (x \ ((y * z) \ x)) * T(x,z \ (y \ 1)) = (y * z) \ x. x != T(y,a(z,z \ u,w)) | x = T(y,a(z,u,w)). T(x,y \ (((z * y) \ z) \ 1)) = T(x,a(z * y,z,y)). x != T(y,a(z * u,z,u)) | x = y. T(x,y \ (((z * y) \ z) \ 1)) = x. x * (y \ (((z * y) \ z) \ 1)) = (y \ (((z * y) \ z) \ 1)) * x. (x \ (((y * x) \ y) \ 1)) * z = z * (x \ (((y * x) \ y) \ 1)). T(x,(y \ z) \ ((z \ y) \ 1)) = x. (x \ (1 / ((y * x) \ y))) * z = z * (x \ (1 / ((y * x) \ y))). (x \ (L(1 / x,x,y) \ 1)) * z = z * ((x \ 1) / ((x * ((y * x) \ y)) * (x \ 1))). x * ((y \ 1) / ((y * ((z * y) \ z)) * (y \ 1))) = (y \ (L(1 / y,y,z) \ 1)) * x. x * ((y \ 1) / L(y \ 1,y,z)) = (y \ (L(1 / y,y,z) \ 1)) * x. (x \ (L(1 / x,x,y) \ 1)) * z = z * ((x \ 1) / L(x \ 1,x,y)). (x \ (L(1 / x,x,y) \ 1)) * z = z * (L(x \ 1,x,y) \ (x \ 1)). (x \ (L(1 / x,x,y) \ 1)) * z = z * (x \ (L(1 / x,x,y) \ 1)). x * y != x * (z \ (L(1 / z,z,u) \ 1)) | T(z \ (L(1 / z,z,u) \ 1),x) = y. T(x \ (L(1 / x,x,y) \ 1),z) = x \ (L(1 / x,x,y) \ 1). T(L(x \ 1,x,y) \ (x \ 1),z) = x \ (L(1 / x,x,y) \ 1). x / (y \ (1 / ((z * y) \ z))) = (y \ (1 / ((z * y) \ z))) \ x. (x \ (((y \ z) * (z \ y)) \ x)) * x = ((y \ z) * (z \ y)) \ x. K((x \ y) \ (T(x,z) \ 1),u) != w | K(y \ K(z,x),u) = w. K(x \ K(y,z),u) = K(x \ K(z,z \ y),u). K(x \ K(y,y \ z),u) = K(x \ K(z,y),u). L(T(x,y),x \ 1,z) * (K(y,x) / u) = L(x,x \ 1,z) * (1 / u). (((x * (K(y,z) / z)) \ x) * (x \ (x * (K(y,z) / z)))) \ u = u / (L(z,z \ 1,x) * (1 / z)). (L(T(x,y),x \ 1,z) * (z \ (z * (K(y,x) / x)))) \ u = u / (L(x,x \ 1,z) * (1 / x)). (L(T(x,y),x \ 1,z) * (K(y,x) / x)) \ u = u / (L(x,x \ 1,z) * (1 / x)). (L(x,x \ 1,y) * (1 / x)) \ z = z / (L(x,x \ 1,y) * (1 / x)). x / (L(y,y \ 1,z) * (1 / y)) = (L(y,y \ 1,z) * (1 / y)) \ x. ((L(x,x \ 1,y) * (1 / x)) \ z) * K(L(x,x \ 1,y),1 / x) = z / ((1 / x) * L(x,x \ 1,y)). K((a(x,y,y \ 1) * (z \ 1)) \ K(u \ 1,u),w) = K(a(x,y,y \ 1) \ z,w). K(x,((y * z) * (z \ (u \ 1))) * u) != w | K(x,L(y,z,z \ (u \ 1))) = w. (K(x / y,y) / (y \ 1)) \ x = x / (1 / (y \ 1)). (K(x \ y,x) / (x \ 1)) \ y = y / (1 / (x \ 1)). (1 / (x \ 1)) \ L((x \ y) \ y,z,u) = L((x \ y) \ y,z,u) / (1 / (x \ 1)). L((x \ y) \ y,z,u) / (1 / (x \ 1)) = (1 / (x \ 1)) \ L((x \ y) \ y,z,u). x != (y / (z \ y)) \ u | x = z \ u. L((x \ y) \ y,z,u) / (1 / (x \ 1)) = x \ L((x \ y) \ y,z,u). L((x \ y) \ y,z,u) / x = x \ L((x \ y) \ y,z,u). K(x * R(y * K(z,y),u,u \ 1),T(w,y)) = K((K(y,z) / R(y,u,u \ 1)) \ x,w). x != K(y * R(z,u,u \ 1),w) | x = K(y * L(z,u,u \ 1),w). K((K(x,y) / R(x,z,z \ 1)) \ u,w) = K(u * L(x * K(y,x),z,z \ 1),T(w,x)). K(x * L(y * K(z,y),u,u \ 1),T(w,y)) = K((K(y,z) / R(y,u,u \ 1)) \ x,w). x != K(y * L(z * K(u,z),w,v5),T(v6,z)) | x = K(L(T(z,u),w,v5) * y,v6). K((K(x,y) / R(x,z,z \ 1)) \ u,w) = K(L(T(x,y),z,z \ 1) * u,w). x != K((K(y,z) / u) \ w,v5) | x = K(u * (w * K(y,z)),v5). K(L(T(x,y),z,z \ 1) * u,w) = K(R(x,z,z \ 1) * (u * K(x,y)),w). K(R(x,y,y \ 1) * (z * K(x,u)),w) = K(L(T(x,u),y,y \ 1) * z,w). K(R(x,y,y \ 1) * z,u) = K(L(T(x,u),y,y \ 1) * z,u). K(L(T(x,y),z,z \ 1) * u,y) = K(R(x,z,z \ 1) * u,y). x != K(L(T(y,z),u,w) * v5,z) | x = K(L(y,u,w) * v5,z). K(R(x,y,y \ 1) * z,u) = K(L(x,y,y \ 1) * z,u). K(a(x,y,y \ 1) * z,u) = K(L(x,y,y \ 1) * (x \ z),u). K(L(x,y,y \ 1) * (x \ z),u) = K(a(x,y,y \ 1) * z,u). x != K(L(y,z,z \ 1) * (y \ u),w) | x = K(a(z \ 1,z,y) \ u,w). K(a(x,y,y \ 1) * z,u) = K(a(y \ 1,y,x) \ z,u). K(a(x \ 1,x,y) \ z,u) = K(a(y,x,x \ 1) * z,u). x != K(a(y \ 1,y,z) \ (u \ 1),L(w,u,v5)) | x = K((a(y \ 1,y,z) \ v5) / (u * v5),w). K(a(x,y,y \ 1) * (z \ 1),L(u,z,w)) = K((a(y \ 1,y,x) \ w) / (z * w),u). K((a(x \ 1,x,y) \ z) / (u * z),w) = K(a(y,x,x \ 1) * (u \ 1),L(w,u,z)). x != K(y * (z \ 1),u) | x = K(y / z,u). K((a(x \ 1,x,y) \ z) / (u * z),w) = K(a(y,x,x \ 1) / u,L(w,u,z)). K(a(x,y,y \ 1) / z,L(u,z,w)) = K((a(y \ 1,y,x) \ w) / (z * w),u). K(x \ a(y,z,z \ 1),L(u,x,w)) = K((a(z \ 1,z,y) \ w) / (x * w),u). K(x \ a(y,z,z \ 1),u) = K((a(z \ 1,z,y) \ w) / (x * w),u). K((a(x \ 1,x,y) \ z) / (u * z),w) = K(u \ a(y,x,x \ 1),w). K(x,L(y,z \ L(z,u,u \ 1),w)) = K((x \ (z \ L(z,u,u \ 1))) \ a(z,u,u \ 1),y). K((x \ (y \ L(y,z,z \ 1))) \ a(y,z,z \ 1),u) = K(x,L(u,y \ L(y,z,z \ 1),w)). x != K((y \ z) \ a(u,w,v5),v6) | x = K(z \ (y * a(u,w,v5)),v6). K(x,L(y,z \ L(z,u,u \ 1),w)) = K((z \ L(z,u,u \ 1)) \ (x * a(z,u,u \ 1)),y). K((x \ L(x,y,y \ 1)) \ (z * a(x,y,y \ 1)),u) = K(z,L(u,x \ L(x,y,y \ 1),w)). K(a(x \ 1,x,y) * (z * a(y,x,x \ 1)),u) = K(z,L(u,y \ L(y,x,x \ 1),w)). K(a(x \ 1,x,y) * (z * a(y,x,x \ 1)),u) != w | K(z,u) = w. K(x,y) = K(x,L(y,z \ L(z,u,u \ 1),w)). K(x,L(y,z \ L(z,u,u \ 1),w)) = K(x,y). K(x,L(y,z \ L(z,u,u \ 1),w)) != v5 | K(x,y) = v5. K(x,(y \ L(y,z,z \ 1)) / (u / w)) = K(x,(a(z \ 1,z,y) \ w) / u). K(x,(y / z) \ (u \ L(u,w,w \ 1))) = K(x,(a(w \ 1,w,u) \ z) / y). x != K(y,z \ (u \ L(u,w,w \ 1))) | x = K(y,z \ a(u,w,w \ 1)). K(x,(a(y \ 1,y,z) \ u) / w) = K(x,(w / u) \ a(z,y,y \ 1)). K(x,L(y,a(z \ 1,z,u) \ 1,w)) = K(x,y). x != K(y,L((z \ u) \ (a(w \ 1,w,v5) \ 1),a(w \ 1,w,v5) \ 1,z)) | x = K(y,u \ (a(w \ 1,w,v5) \ z)). K(x,(y \ z) \ (a(u \ 1,u,w) \ 1)) = K(x,z \ (a(u \ 1,u,w) \ y)). K(((x \ y) * x) \ z,T(u,y)) != w | K(z / ((x \ y) * x),u) = w. x != K(y,z \ (a(u \ 1,u,w) \ v5)) | x = K(y,a(w,u,u \ 1) * (z \ v5)). K(x,y \ (a(z \ 1,z,u) \ w)) = K(x,a(u,z,z \ 1) * ((w \ y) \ 1)). K(x,a(y,z,z \ 1) * ((u \ w) \ 1)) = K(x,w \ (a(z \ 1,z,y) \ u)). K(x,a(y,z,z \ 1) / (u \ w)) = K(x,w \ (a(z \ 1,z,y) \ u)). K(x,(y \ z) \ a(u,w,w \ 1)) = K(x,z \ (a(w \ 1,w,u) \ y)). K(x,y \ (z * a(u,w,w \ 1))) = K(x,y \ (a(w \ 1,w,u) \ z)). K(x,y \ (a(z \ 1,z,u) \ w)) = K(x,y \ (w * a(u,z,z \ 1))). K(x,y \ (z * a(u,w,w \ 1))) = K(x,a(u,w,w \ 1) * (y \ z)). x != K(y,z \ (u * a(w,v5,v5 \ 1))) | x = K(y,(a(w,v5,v5 \ 1) \ z) \ u). K(x,a(y,z,z \ 1) * (u \ w)) = K(x,(a(y,z,z \ 1) \ u) \ w). K(x,(a(y,z,z \ 1) \ u) \ w) = K(x,a(y,z,z \ 1) * (u \ w)). x != a(y,z,K(u \ (w \ v5),w)) | x = a(w,z,K(y,u \ v5)). K(x,((y * z) \ u) \ (z \ (y \ u))) = a(y,z,K(x,z \ u)). K(x,((y * ((y * z) / y)) \ u) \ (z \ (T(y,z) \ u))) = a(T(y,z),z,K(x,z \ u)). x != K(y,((z * (u / z)) \ w) \ v5) | x = K(y,(T(u,z) \ w) \ v5). a(T(x,y),y,K(z,y \ u)) = K(z,(T(x * y,x) \ u) \ (y \ (T(x,y) \ u))). K(x,(T(y * z,y) \ u) \ (z \ (T(y,z) \ u))) = a(T(y,z),z,K(x,z \ u)). x != K(y,(T(z * u,z) \ w) \ v5) | x = K(y,((u * z) \ w) \ v5). a(T(x,y),y,K(z,y \ u)) = K(z,((y * x) \ u) \ (y \ (T(x,y) \ u))). K(x,((y * z) \ u) \ (y \ (T(z,y) \ u))) = a(T(z,y),y,K(x,y \ u)). K(x,((y * z) \ u) \ (y \ (T(z,y) \ u))) != w | a(z,y,K(x,y \ u)) = w. L(x,y,z) * a(x,u,K(w,L(v5,y,z))) = L(T(x,a(v5,u,w)),y,z). L(x,y,z) * a(x,u,K(w,L(v5,y,z))) = L(L(x,u,K(w,v5)),y,z). L(x,y,z) * a(x,u,K(w,v5)) = L(L(x,u,K(w,v5)),y,z). x != L(y,z,u) * a(y,z,K(u,w)) | x = T(K(w,y) * L(y,z,u),w). L(L(x,y,K(z,u)),y,z) = T(K(u,x) * L(x,y,z),u). T(K(x,y) * L(y,z,u),x) = L(L(y,z,K(u,x)),z,u). x != L(L(y,z,K(u,w)),z,u) | x = L(y,z,T(u,w)). T(K(x,y) * L(y,z,u),x) = L(y,z,T(u,x)). T(K(x,y) * L(y,z,T(x,u) / (x / u)),x) = L(y,z,x / (x / u)). T(K(x,y) * L(y,z,T(x,u) * (u / x)),x) = L(y,z,x / (x / u)). x != T(K(y,z) * L(z,u,w),y) | x = L(z,u,T(w,y)). L(x,y,z / (z / u)) = L(x,y,T(T(z,u) * (u / z),z)). L(x,y,T(T(z,u) * (u / z),z)) = L(x,y,z / (z / u)). L(x,y,z * (u / z)) = L(x,y,z / (z / u)). L(x,y,z / (z / u)) = L(x,y,z * (u / z)). x != K((y * (K(z,u) * w)) \ v5,v6) | x = K(K(u,z) * ((y * w) \ v5),v6). K((x * (K(y,z) / u)) \ w,v5) = K(K(z,y) * ((x * (u \ 1)) \ w),v5). K(K(x,y) * ((z * (u \ 1)) \ w),v5) = K((z * (K(y,x) / u)) \ w,v5). x != K(K(y,z) * ((u * (w \ 1)) \ v5),v6) | x = K((u * (w \ K(y,z))) \ v5,v6). K((x * (K(y,z) / u)) \ w,v5) = K((x * (u \ K(z,y))) \ w,v5). x != K((y * (K(z,T(u,w \ y)) / w)) \ v5,v6) | x = K((((w \ 1) * K(z,u)) * T(y,w \ 1)) \ v5,v6). K((x * (y \ K(T(z,y \ x),u))) \ w,v5) = K((((y \ 1) * K(u,z)) * T(x,y \ 1)) \ w,v5). K((((x \ 1) * K(y,z)) * T(u,x \ 1)) \ w,v5) = K((u * (x \ K(T(z,x \ u),y))) \ w,v5). K((((x \ 1) * K(y,z)) * T(u,x \ 1)) \ w,v5) = K((u * (x \ K(z,T(y,x \ u)))) \ w,v5). x != K((y * (z \ K(u,T(w,v5)))) \ v6,v7) | x = K((y * (z \ K(u,w))) \ v6,v7). K((((x \ 1) * K(y,z)) * T(u,x \ 1)) \ w,v5) = K((u * (x \ K(z,y))) \ w,v5). K(((x \ K(y,z)) * T(u,x \ 1)) \ w,v5) = K((u * (x \ K(z,y))) \ w,v5). x != K((y * T(z,u \ 1)) \ w,v5) | x = K((y * T(z,u)) \ w,v5). K((x * (y \ K(z,u))) \ w,v5) = K(((y \ K(u,z)) * T(x,y)) \ w,v5). K(((x \ K(y,z)) * T(u,x)) \ w,v5) = K((u * (x \ K(z,y))) \ w,v5). K(x * K((y * (z \ K(u,w))) \ v5,x),v6) = K(x,T(v6,((z \ K(w,u)) * T(y,z)) \ v5)). K(x,T(y,(z * (u \ K(w,v5))) \ v6)) = K(x,T(y,((u \ K(v5,w)) * T(z,u)) \ v6)). K(x,T(y,((z \ K(u,w)) * T(v5,z)) \ v6)) = K(x,T(y,(v5 * (z \ K(w,u))) \ v6)). x != K(y,T(z,(u * w) \ v5)) | x = K(y,T(z,u \ (w \ v5))). K(x,T(y,((z \ K(u,w)) * T(v5,z)) \ v6)) = K(x,T(y,v5 \ ((z \ K(w,u)) \ v6))). K(x,T(y,(z \ K(u,w)) \ (T(v5,z) \ v6))) = K(x,T(y,v5 \ ((z \ K(w,u)) \ v6))). (K(x,y) * z) * (K(x,y) * ((1 / z) * K(y,x))) = K(x,y) * K(K(x,y) * z,z \ 1). (K(x,y) * z) * T(1 / z,K(x,y)) = K(x,y) * K(K(x,y) * z,z \ 1). x != K(y,z) * K(K(y,z) * u,u \ 1) | x = u * (K(y,z) / u). (K(x,y) * z) * T(1 / z,K(x,y)) = z * (K(x,y) / z). x != (K(y,z) * u) * T(1 / u,K(y,z)) | x = (u * K(y,z)) * (1 / u). x * (K(y,z) / x) = (x * K(y,z)) * (1 / x). (x * K(y,z)) * (1 / x) = x * (K(y,z) / x). x != K(y,z) * K(u \ 1,u * K(y,z)) | x = (u * (K(z,y) / u)) \ 1. (x \ 1) * (K(y,z) * x) = (x * (K(z,y) / x)) \ 1. (x * (K(y,z) / x)) \ 1 = (x \ 1) * (K(z,y) * x). K(x \ K(y,z),x) * K(z,y) = (x \ 1) * (K(z,y) * x). x != K(y \ K(z,u),y) * K(u,z) | x = 1 / (y * (K(z,u) / y)). (x \ 1) * (K(y,z) * x) = 1 / (x * (K(z,y) / x)). 1 / (x * (K(y,z) / x)) = (x \ 1) * (K(z,y) * x). (x \ L(x,y,z)) * K(u,w) = L(x,y,z) * (x \ K(u,w)). x != (((y \ z) \ z) \ L((y \ z) \ z,u,w)) * K(y,y \ z) | x = L((y \ z) \ z,u,w) / y. L((x \ y) \ y,z,u) * (((x \ y) \ y) \ K(x,x \ y)) = L((x \ y) \ y,z,u) / x. L((x \ y) \ y,z,u) * (((y / x) \ y) \ 1) = L((x \ y) \ y,z,u) / x. L((x \ y) \ y,z,u) * (x \ 1) = L((x \ y) \ y,z,u) / x. x != L((y \ z) \ z,u,w) / y | x = y \ L((y \ z) \ z,u,w). L((x \ y) \ y,z,u) * (x \ 1) = x \ L((x \ y) \ y,z,u). x != L((y \ 1) \ 1,y \ 1,z) * (y \ 1) | x = a(z / T(y,y \ 1),(y \ 1) \ 1,y \ 1) \ 1. x \ L((x \ 1) \ 1,x \ 1,y) = a(y / T(x,x \ 1),(x \ 1) \ 1,x \ 1) \ 1. a(x / T(y,y \ 1),(y \ 1) \ 1,y \ 1) \ 1 = y \ L((y \ 1) \ 1,y \ 1,x). x != y \ L((y \ 1) \ 1,z,u) | x = L(y,z,u) * (1 / y). a(x / T(y,y \ 1),(y \ 1) \ 1,y \ 1) \ 1 = L(y,y \ 1,x) * (1 / y). a(x / T(y,y \ 1),y,y \ 1) \ 1 = L(y,y \ 1,x) * (1 / y). a(T(x,x \ 1) \ y,x,x \ 1) \ 1 = L(x,x \ 1,y) * (1 / x). a(x \ y,x,x \ 1) \ 1 = L(x,x \ 1,y) * (1 / x). x != a(y \ z,y,y \ 1) \ 1 | x = (z * (y \ 1)) \ (z / y). L(x,x \ 1,y) * (1 / x) = (y * (x \ 1)) \ (y / x). (x * (y \ 1)) \ (x / y) = L(y,y \ 1,x) * (1 / y). a(x / T((x \ y) \ 1,y),(x \ y) \ 1,((x \ y) \ 1) \ 1) \ 1 = L((x \ y) \ 1,((x \ y) \ 1) \ 1,x) * (1 / ((x \ y) \ 1)). x * (L(y,y \ 1,z) * (1 / y)) = a(y \ z,y,y \ 1) \ x. (L(x,x \ 1,y) * (1 / x)) \ z = z * a(x \ y,x,x \ 1). (x * a(y \ z,y,y \ 1)) * K(L(y,y \ 1,z),1 / y) = x / ((1 / y) * L(y,y \ 1,z)). (x * a(y \ z,y,y \ 1)) * K(L(y,y \ 1,z),y \ 1) = x / ((1 / y) * L(y,y \ 1,z)). x * (a(y \ z,y,y \ 1) * K(y,y \ 1)) = x / ((1 / y) * L(y,y \ 1,z)). x * (y * (a(y \ z,y,y \ 1) / y)) = x / ((1 / y) * L(y,y \ 1,z)). x * (y * (L(y,y \ 1,z) \ 1)) = x / ((1 / y) * L(y,y \ 1,z)). x / ((1 / y) * L(y,y \ 1,z)) = x * (y * (L(y,y \ 1,z) \ 1)). x / ((1 / y) * L(y,y \ 1,z)) = x * (L(y,y \ 1,z) \ y). x / (y \ L(y,y \ 1,z)) = x * (L(y,y \ 1,z) \ y). (x \ L(x,x \ 1,y)) \ z = z * (L(x,x \ 1,y) \ x). (x * (L(y,y \ 1,z) \ y)) \ x = y \ L(y,y \ 1,z). (x * (L(y,y \ 1,x) \ y)) \ 1 = x \ (y \ L(y,y \ 1,x)). (x * (y * (a(z,y,y \ 1) / y))) \ x = y \ L(y,y \ 1,z * y). (x * (a(y,x,x \ 1) / x)) \ 1 = x \ L(x,x \ 1,y * x). a(x,y,y \ 1) \ K(y \ 1,y) = y \ L(y,y \ 1,x * y). K(x * (y \ L(y,y \ 1,z * y)),L(u,x \ 1,a(z,y,y \ 1))) = K((a(z,y,y \ 1) * (x \ 1)) \ K(y \ 1,y),u). K(x * (y \ L(y,y \ 1,z * y)),u) = K((a(z,y,y \ 1) * (x \ 1)) \ K(y \ 1,y),u). K((a(x,y,y \ 1) * (z \ 1)) \ K(y \ 1,y),u) = K(z * (y \ L(y,y \ 1,x * y)),u). x != K((a(y,z,z \ 1) * (u \ 1)) \ K(w \ 1,w),v5) | x = K(a(y,z,z \ 1) \ u,v5). K(x * (y \ L(y,y \ 1,z * y)),u) = K(a(z,y,y \ 1) \ x,u). x != K(y * (z \ L(z,u,w)),z) | x = K(y,z). K(a(x,y,y \ 1) \ z,y) = K(z,y). K(x,y) = K(a(z,y,y \ 1) * x,y). K(a(x,y,y \ 1) * z,y) = K(z,y). x / (K(y,z) * x) = K(z,a(u,z,z \ 1) * y). K(x,a(y,x,x \ 1) * z) = u / (K(z,x) * u). K(x,a(y,x,x \ 1) * z) = K(x,z). K(x,y * a(z,x,x \ 1)) = K(x,y). K(x,y) * (y * (a(z,x,x \ 1) * x)) = L(x,a(z,x,x \ 1),y) * (y * a(z,x,x \ 1)). L(x,a(y,x,x \ 1),z) * (z * a(y,x,x \ 1)) = K(x,z) * (z * (a(y,x,x \ 1) * x)). L(x,a(y,x,x \ 1),z) * (z * a(y,x,x \ 1)) = K(x,z) * (z * (x * a(y,x,x \ 1))). L(x,a(y,x,x \ 1),z) * (z * a(y,x,x \ 1)) = z * (K(x,z) * (x * a(y,x,x \ 1))). x != (y \ 1) * (L(y,z,u) * (1 / y)) | x = (1 / y) * ((1 / y) * L(y,z,u)). a(x \ y,x,x \ 1) \ (x \ 1) = (1 / x) * ((1 / x) * L(x,x \ 1,y)). (1 / x) * ((1 / x) * L(x,x \ 1,y)) = a(x \ y,x,x \ 1) \ (x \ 1). (1 / x) * (x \ L(x,x \ 1,y)) = a(x \ y,x,x \ 1) \ (x \ 1). a(x \ y,x,x \ 1) \ (x \ 1) = (1 / x) * (x \ L(x,x \ 1,y)). ((1 / x) * (x \ L(x,x \ 1,y))) \ (x \ 1) = a(x \ y,x,x \ 1). (L((x \ y) \ 1,((x \ y) \ 1) \ 1,x) * (1 / ((x \ y) \ 1))) * z = a(x / T((x \ y) \ 1,y),(x \ y) \ 1,((x \ y) \ 1) \ 1) \ z. a(x / T((x \ y) \ 1,y),(x \ y) \ 1,((x \ y) \ 1) \ 1) \ z = (L((x \ y) \ 1,((x \ y) \ 1) \ 1,x) * (1 / ((x \ y) \ 1))) * z. a(x / T((x \ y) \ 1,y),(x \ y) \ 1,((x \ y) \ 1) \ 1) \ z = (L((x \ y) \ 1,x \ y,x) * (1 / ((x \ y) \ 1))) * z. a(x / T((x \ y) \ 1,y),(x \ y) \ 1,((x \ y) \ 1) \ 1) \ z = ((y \ x) * (1 / ((x \ y) \ 1))) * z. a(x / T((x \ y) \ 1,y),(x \ y) \ 1,((x \ y) \ 1) \ 1) \ z = ((y \ x) * (x \ y)) * z. ((x \ y) \ (1 / (y \ x))) \ z = ((x \ y) * (y \ x)) * z. ((x \ y) * (y \ x)) \ z = ((x \ y) \ (1 / (y \ x))) * z. ((x \ y) \ (1 / (y \ x))) * z = ((x \ y) * (y \ x)) \ z. x * y != ((z \ u) * (u \ z)) \ y | x = y \ (((z \ u) * (u \ z)) \ y). (x \ y) \ (1 / (y \ x)) = z \ (((x \ y) * (y \ x)) \ z). x \ (((y \ z) * (z \ y)) \ x) = (y \ z) \ (1 / (z \ y)). (x \ ((y \ (y / x)) \ 1)) * z = ((y \ (y / x)) * ((y / x) \ y)) \ z. ((x \ (x / y)) * ((x / y) \ x)) \ z = (y \ ((x \ (x / y)) \ 1)) * z. ((x \ (x / y)) * y) \ z = (y \ ((x \ (x / y)) \ 1)) * z. (x \ ((y \ (y / x)) \ 1)) * z = ((y \ (y / x)) * x) \ z. x \ ((y \ (y / x)) \ 1) = ((y \ (y / x)) * x) \ 1. ((x \ (x / y)) * y) \ 1 = y \ ((x \ (x / y)) \ 1). x != y \ ((z \ (z / y)) \ 1) | x = (z \ (z / y)) \ (1 / ((z / y) \ z)). ((x \ (x / y)) * y) \ 1 = (x \ (x / y)) \ (1 / ((x / y) \ x)). (x \ (x / y)) \ (1 / ((x / y) \ x)) = ((x \ (x / y)) * y) \ 1. (x \ (x / (y \ 1))) \ (1 / ((x / (y \ 1)) \ x)) = (y \ (x \ (x / (y \ 1)))) \ 1. (x \ (x / ((y \ 1) \ 1))) \ (1 / ((x / ((y \ 1) \ 1)) \ x)) = ((x \ (x / y)) * y) \ 1. x != ((y \ (y / z)) * z) \ 1 | x = z \ ((y \ (y / z)) \ 1). (x \ (x / ((y \ 1) \ 1))) \ (1 / ((x / ((y \ 1) \ 1)) \ x)) = y \ ((x \ (x / y)) \ 1). (x \ (x / ((y \ 1) \ 1))) \ (1 / ((y \ 1) \ 1)) = y \ ((x \ (x / y)) \ 1). (x \ (x / ((y \ 1) \ 1))) \ (y \ 1) = y \ ((x \ (x / y)) \ 1). x * ((y \ z) \ (1 / (z \ y))) = ((y \ z) * (z \ y)) \ x. x * (y \ (1 / ((z * y) \ z))) = ((z \ (z * y)) * ((z * y) \ z)) \ x. ((x \ (x * y)) * ((x * y) \ x)) \ z = z * (y \ (1 / ((x * y) \ x))). x * (((y * z) \ y) \ (1 / z)) = (((y * z) \ y) * (y \ (y * z))) \ x. (((x * y) \ x) * (x \ (x * y))) \ z = z * (((x * y) \ x) \ (1 / y)). x * (y \ (((z * y) \ z) \ 1)) = (((z * y) \ z) * (z \ (z * y))) \ x. (((x * y) \ x) * (x \ (x * y))) \ z = z * (y \ (((x * y) \ x) \ 1)). (((x * y) \ x) * y) \ z = z * (y \ (((x * y) \ x) \ 1)). x * (y \ (((z * y) \ z) \ 1)) = (((z * y) \ z) * y) \ x. x != y * (z \ (((u * z) \ u) \ 1)) | x = (z \ (((u * z) \ u) \ 1)) * y. (((x * y) \ x) * y) \ z = (y \ (((x * y) \ x) \ 1)) * z. (x \ (((y * x) \ y) \ 1)) * z = (((y * x) \ y) * x) \ z. (((x * (y \ 1)) \ x) * (x \ (x * (y \ 1)))) \ z = z * (((x * (y \ 1)) \ x) \ y). (((x * (y \ 1)) \ x) * (y \ 1)) \ z = z * (((x * (y \ 1)) \ x) \ y). (x \ ((y * (x \ 1)) \ y)) \ z = z * (((y * (x \ 1)) \ y) \ x). (x \ ((y * (x \ 1)) \ y)) \ 1 != z | ((y * (x \ 1)) \ y) \ x = z. (x * ((y * x) \ y)) \ z = z * (x \ (1 / ((y * x) \ y))). x * (y \ (1 / ((z * y) \ z))) = (y * ((z * y) \ z)) \ x. ((x \ (x * (y \ 1))) * ((x * (y \ 1)) \ x)) \ z = z * ((y \ 1) \ (((x * (1 / y)) \ x) \ 1)). x != y * (z \ (1 / ((u * z) \ u))) | x = (z \ (1 / ((u * z) \ u))) * y. (x * ((y * x) \ y)) \ z = (x \ (1 / ((y * x) \ y))) * z. (x \ (1 / ((y * x) \ y))) * z = (x * ((y * x) \ y)) \ z. x != ((y * ((z * y) \ z)) * u) * (y \ (1 / ((z * y) \ z))) | x = R(u,y * ((z * y) \ z),y \ (((z * y) \ z) \ 1)). (x * ((y * x) \ y)) \ ((x * ((y * x) \ y)) * z) = R(z,x * ((y * x) \ y),x \ (((y * x) \ y) \ 1)). R(x,y * ((z * y) \ z),y \ (((z * y) \ z) \ 1)) = (y * ((z * y) \ z)) \ ((y * ((z * y) \ z)) * x). R(x,y * ((z * y) \ z),y \ (((z * y) \ z) \ 1)) = x. (x * (y * ((z * y) \ z))) \ x = y \ (1 / ((z * y) \ z)). x / (y \ (1 / ((z * y) \ z))) = x * (y * ((z * y) \ z)). (x * ((y \ 1) * ((z * (y \ 1)) \ z))) \ x = (y \ 1) \ (((z * (1 / y)) \ z) \ 1). x != y / (z \ (1 / ((u * z) \ u))) | x = (z \ (1 / ((u * z) \ u))) \ y. x * (y * ((z * y) \ z)) = (y \ (1 / ((z * y) \ z))) \ x. (x \ (1 / ((y * x) \ y))) \ z = z * (x * ((y * x) \ y)). (x * (y \ 1)) \ (x / y) = ((x * (1 / y)) \ x) * (1 / y). ((x * (1 / y)) \ x) * (1 / y) = (x * (y \ 1)) \ (x / y). T((x * (y \ 1)) / (x / y),L(y,y \ 1,x) * (1 / y)) = (((x * (y \ 1)) / (x / y)) \ 1) \ 1. x != ((y * (1 / z)) \ y) * (1 / z) | x = z \ ((y * (z \ 1)) \ y). (x * (y \ 1)) \ (x / y) = y \ ((x * (y \ 1)) \ x). x != (y * (z \ 1)) \ (y / z) | x = (y * (((z \ y) \ y) \ 1)) \ (z \ y). x \ ((y * (x \ 1)) \ y) = (y * (((x \ y) \ y) \ 1)) \ (x \ y). (x * (((y \ x) \ x) \ 1)) \ (y \ x) = y \ ((x * (y \ 1)) \ x). T((x / y) \ (x * (y \ 1)),L(y,y \ 1,x) * (1 / y)) = (((x * (y \ 1)) / (x / y)) \ 1) \ 1. x != T(y,L(z,u,w) * (1 / z)) | x = T(y,z \ L(z,u,w)). (((x * (y \ 1)) / (x / y)) \ 1) \ 1 = T((x / y) \ (x * (y \ 1)),y \ L(y,y \ 1,x)). T((x / y) \ (x * (y \ 1)),y \ L(y,y \ 1,x)) = (((x * (y \ 1)) / (x / y)) \ 1) \ 1. x != T(y,z \ L(z,z \ 1,u)) | x = y. (((x * (y \ 1)) / (x / y)) \ 1) \ 1 = (x / y) \ (x * (y \ 1)). (((x / y) \ (x * (y \ 1))) \ 1) \ 1 = (x / y) \ (x * (y \ 1)). (1 * ((x * (y \ 1)) \ (x / y))) \ 1 = (x / y) \ (x * (y \ 1)). (1 * (x \ ((y * (x \ 1)) \ y))) \ 1 = (y / x) \ (y * (x \ 1)). (x \ ((y * (x \ 1)) \ y)) \ 1 = (y / x) \ (y * (x \ 1)). ((x * (y \ 1)) \ x) \ y = (x / y) \ (x * (y \ 1)). (x \ ((y * (x \ 1)) \ y)) \ z = z * ((y / x) \ (y * (x \ 1))). x != (y \ ((z * (y \ 1)) \ u)) \ K(y,y \ 1) | x = (y \ ((z * (1 / y)) \ u)) \ 1. K(x,x \ 1) * ((y / x) \ (y * (x \ 1))) = (x \ ((y * (1 / x)) \ y)) \ 1. x != K(y,y \ 1) * (z \ (u * (w \ 1))) | x = z \ (u * (w \ K(y,y \ 1))). (x \ ((y * (1 / x)) \ y)) \ 1 = (y / x) \ (y * (x \ K(x,x \ 1))). (x / y) \ (x * (y \ K(y,y \ 1))) = (y \ ((x * (1 / y)) \ x)) \ 1. (x / y) \ (x * (1 / y)) = (y \ ((x * (1 / y)) \ x)) \ 1. (x \ ((y * (1 / x)) \ y)) \ 1 = (y / x) \ (y * (1 / x)). (x * (y \ ((z * (1 / y)) \ z))) \ x = (y \ 1) \ (((z * (1 / y)) \ z) \ 1). (x \ 1) \ (((y * (1 / x)) \ y) \ 1) = (z * (x \ ((y * (1 / x)) \ y))) \ z. (x \ 1) \ (((y * (1 / x)) \ y) \ 1) = ((y * (1 / x)) \ y) \ x. ((x \ (x * (y \ 1))) * ((x * (y \ 1)) \ x)) \ z = z * (((x * (1 / y)) \ x) \ y). ((x \ 1) * ((y * (x \ 1)) \ y)) \ z = z * (((y * (1 / x)) \ y) \ x). (x \ ((y * (1 / x)) \ y)) \ z = z * (((y * (1 / x)) \ y) \ x). x != (y \ ((z * (1 / y)) \ z)) \ 1 | x = ((z * (1 / y)) \ z) \ y. (x / y) \ (x * (1 / y)) = ((x * (1 / y)) \ x) \ y. ((x * (1 / y)) \ x) \ y = (x / y) \ (x * (1 / y)). x != ((y * (1 / (1 / z))) \ y) \ (1 / z) | x = z \ (1 / ((y * z) \ y)). (x / (1 / y)) \ (x * (1 / (1 / y))) = y \ (1 / ((x * y) \ x)). L(x,x \ 1,y) \ x = (y / x) \ (y * (1 / x)). K(x,T(y \ z,u)) = K(x,T((y \ 1) * z,u)). K(x,T((y \ 1) * z,u)) = K(x,T(y \ z,u)). K(x,T(y * z,u)) = K(x,T((1 / y) \ z,u)). K(x,T((1 / y) \ z,u)) = K(x,T(y * z,u)). T(x * K(y,z),x \ 1) = T((x \ 1) \ 1,K(y,z)) * K(y,z). x != T(y,K(z,u)) * K(z,u) | x = K(z,u) * y. T(x * K(y,z),x \ 1) = K(y,z) * ((x \ 1) \ 1). x != K(y,z) * ((u \ 1) \ 1) | x = (u \ K(z,y)) \ 1. T(x * K(y,z),x \ 1) = (x \ K(z,y)) \ 1. x * y != T(z * K(u,w),z \ 1) | x \ ((z \ K(w,u)) \ 1) = y. x \ ((x \ K(y,z)) \ 1) = ((x \ 1) \ K(z,y)) * (x \ 1). ((x \ 1) \ K(y,z)) * (x \ 1) = x \ ((x \ K(z,y)) \ 1). K(x,K(y,z) * (u / (w \ 1))) = K(x,u * (w * K(y,z))). K(x,K(y * z,u) * (w / (v5 \ 1))) = K(x,w * (v5 * K(y \ z,u))). x != K(y,K(z,u) * (w / (v5 \ 1))) | x = K(y,w * (v5 * K(z,u))). K(x,y * (z * K(u \ w,v5))) = K(x,y * (z * K(u * w,v5))). x != K(y,(z \ u) * (w * K(v5,u))) | x = K(y,(z \ T(u,u * v5)) * w). K(x,(y \ z) * (u * K(w * v5,z))) = K(x,(y \ T(z,z * (w \ v5))) * u). K(x,(y \ T(z,z * (u \ w))) * v5) = K(x,(y \ z) * (v5 * K(u * w,z))). x != K(y,(z \ u) * (w * K(u \ v5,u))) | x = K(y,(z \ T(v5 / (v5 / u),u)) * w). K(x,(y \ z) * (u * K(z * w,z))) = K(x,(y \ T(w / (w / z),z)) * u). K(x,(y \ T(z / (z / u),u)) * w) = K(x,(y \ u) * (w * K(u * z,u))). x != K(y,(z \ u) * (w * K(v5,u))) | x = K(y,(z \ T(u,v5)) * w). K(x,(y \ T(z,z * (u \ w))) * v5) = K(x,(y \ T(z,u * w)) * v5). x != K(y,(z \ T(u,u * w)) * v5) | x = K(y,(z \ T(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,(T(z,u) \ T(u,w)) * v5) | x = K(y,(T(u,w) / z) * v5). K(x,(T(y,z) \ T(z,u * w)) * v5) = K(x,(T(z,u \ w) / y) * v5). K(x,(T(y,z \ u) / w) * v5) = K(x,(T(y,z * u) / w) * v5). K(x,(y \ T(z / (z / u),u)) * w) = K(x,(y \ u) * (w * K(u,z))). x != K(y,(z \ u) * (w * K(u,v5))) | x = K(y,(z \ T(u,v5)) * w). K(x,(y \ T(z / (z / u),u)) * w) = K(x,(y \ T(u,z)) * w). K(x,(y \ (z / (z / u))) * w) = K(x,(y \ T(u,z)) * w). x != ((y \ 1) \ K(z,u)) * (y \ 1) | x = y \ ((y \ K(u,z)) \ 1). (x * K(y,z)) * (1 / x) = x \ ((x \ K(z,y)) \ 1). x \ ((x \ K(y,z)) \ 1) = (x * K(z,y)) * (1 / x). x != y \ ((y \ K(z,u)) \ 1) | x = K(y,y \ K(z,u)) * K(u,z). (x * K(y,z)) * (1 / x) = K(x,x \ K(z,y)) * K(y,z). K(x,x \ K(y,z)) * K(z,y) = (x * K(z,y)) * (1 / x). (x * K(y,z)) * (1 / x) != u | K(y,z) * K(x,x \ K(z,y)) = u. K(x,y) * K(z,z \ K(y,x)) = z * (K(x,y) / z). x * (y * (K(z,u) / y)) = x / ((y \ K(u,z)) * y). x / ((y \ K(z,u)) * y) = x * (y * (K(u,z) / y)). 1 / (x * (K(y,z) / x)) = (x \ K(z,y)) * x. x != 1 / (y * (K(z,u) / y)) | x = (y \ 1) * (K(u,z) * y). (x \ K(y,z)) * x = (x \ 1) * (K(y,z) * x). (x \ 1) * (K(y,z) * x) = (x \ K(y,z)) * x. K(x,y) * L(z,z \ K(x,y),z) = z * ((z \ 1) * (K(x,y) * z)). x != K(y \ K(z,z \ u),w) | x = K(y \ K(u,z),w). K((x / (y / (y / z))) * z,u) = K((x \ 1) \ K(y,z),u). x != K((y \ 1) \ z,u) | x = K(y * z,u). K((x / (y / (y / z))) * z,u) = K(x * K(y,z),u). K(x * K(y,y \ z),u) = K(x * K(z,y),u). x != K((y / z) * K(u,w \ v5),v6) | x = K(y * (z \ K(u,v5 / w)),v6). K((x / y) * K(z,u),w) = K(x * (y \ K(u,z / u)),w). K(x * (y \ K(z,u / z)),w) = K((x / y) * K(u,z),w). x != K((y \ z) * K(u,u \ y),w) | x = K(((u \ y) * u) \ z,w). K((x \ y) * K(x,z),u) = K(((z \ x) * z) \ y,u). K(((x \ y) * x) \ z,u) = K((y \ z) * K(y,x),u). x != K((y / z) * K(u,w),v5) | x = K(y * (z \ K(u,w)),v5). K(x * (y \ K(z,u / z)),w) = K(x * (y \ K(u,z)),w). K(x * (y \ K(z,z \ u)),w) = K(x * (y \ K(u,z)),w). x != K(y * (((z / u) \ 1) \ K(w,w \ u)),v5) | x = K(y * (z / ((w \ u) * w)),v5). K(x * (((y / z) \ 1) \ K(z,u)),w) = K(x * (y / ((u \ z) * u)),w). K(x * ((y / z) * K(z,u)),w) = K(x * (y / ((u \ z) * u)),w). K(x * (y / ((z \ u) * z)),w) = K(x * ((y / u) * K(u,z)),w). x != K(y * ((z / u) * K(u,w)),v5) | x = K(y * (z / T(u,w)),v5). K(x * (y / ((z \ u) * z)),w) = K(x * (y / T(u,z)),w). K(x * (((y \ z) * y) \ u),w) = K(x * (T(u,T(z,y)) / T(z,y)),w). K(x * (T(y,T(z,u)) / T(z,u)),w) = K(x * (((u \ z) * u) \ y),w). K(x * (T(y,z) \ u),w) = K(x * (((z \ y) * z) \ u),w). K(x * (((y \ z) * y) \ u),w) = K(x * (T(z,y) \ u),w). x != K(y * (((z \ u) * z) \ w),z \ u) | x = K(y * (u \ w),z \ u). K(x * (T(y,z) \ u),z \ y) = K(x * (y \ u),z \ y). K(x * ((y * z) \ u),w) = K(x * (T(z * y,z) \ u),w). K(x * (T(y * z,y) \ u),w) = K(x * ((z * y) \ u),w). (x * y) / (K(z * (T(u,w) \ v5),x) * y) = T(x,z * (((w \ u) * w) \ v5)). T(x,y * (((z \ u) * z) \ w)) = (x * v5) / (K(y * (T(u,z) \ w),x) * v5). T(x,y * (((z \ u) * z) \ w)) != v5 | T(x,y * (T(u,z) \ w)) = v5. T(x,y * (T(z,u) \ R(u,w,u))) = T(x,y * (u / z)). x != T(y,z * (T(u,w) \ R(w,v5,w))) | x = T(y,z * (R(w,v5,w) / u)). T(x,y * (z / u)) = T(x,y * (R(z,w,z) / u)). T(x,y * (R(z,u,z) / w)) = T(x,y * (z / w)). T(x,y * (((z \ u) \ u) / w)) = T(x,y * (T(z,u) / w)). K(x,y / T(z \ 1,u * (T(w,v5) / v6))) = K(x,y * T(z,u * (((w \ v5) \ v5) / v6))). K(x * (T(y * z,y) \ u),T(w,x)) = K(((z * y) \ u) * x,w). K((T(x * y,x) \ z) * u,w) = K(((y * x) \ z) * u,w). K((T(x,y) \ z) * u,w) = K((((y \ x) * y) \ z) * u,w). K((((x \ y) * x) \ z) * u,w) = K((T(y,x) \ z) * u,w). x / (K(((y * z) \ u) * w,v5) * x) = K(v5,(T(z * y,z) \ u) * w). K(x,(T(y * z,y) \ u) * w) = v5 / (K(((z * y) \ u) * w,x) * v5). K(x,(T(y * z,y) \ u) * w) = K(x,((z * y) \ u) * w). K(x,(T(T(y * z,u),y) \ w) * v5) = K(x,(((z * K(y * z,u)) * y) \ w) * v5). K(x,(((y * K(z * y,u)) * z) \ w) * v5) = K(x,(T(T(z * y,u),z) \ w) * v5). K(x,(T(y * z,z) \ u) * w) = K(x,(T(T(z * y,z),z) \ u) * w). K(x,(T(T(y * z,y),y) \ u) * w) = K(x,(T(z * y,y) \ u) * w). x != K(y,(T(T(z,u),u) \ w) * v5) | x = K(y,(z \ w) * v5). K(x,(T(y * z,z) \ u) * w) = K(x,((z * y) \ u) * w). K(x,(T(a(y,z,y) \ u,y) \ w) * v5) = K(x,((y * (u / R(y,z,y))) \ w) * v5). K(x,((y * (z / R(y,u,y))) \ w) * v5) = K(x,(T(a(y,u,y) \ z,y) \ w) * v5). K(x,((y * (z / R(y,u,y))) \ w) * v5) = K(x,(a(y,u,y) * (T(z,y) \ w)) * v5). K(x,((y * (z / R(y,u,y))) \ w) * v5) = K(x,a(y,u,y) * ((T(z,y) \ w) * v5)). K(x,((y * (z / R(y,u,y))) \ w) * v5) != v6 | K(x,(T(z,y) \ w) * v5) = v6. x != K(((y * z) \ u) * K(w,z),v5) | x = K((y * T(z,w)) \ u,v5). K((T(x,y) \ z) * K(u,y),w) = K(((y \ x) * T(y,u)) \ z,w). K(((x \ y) * T(x,z)) \ u,w) = K((T(y,x) \ u) * K(z,x),w). x != K(((y \ z) * T(y,z)) \ (u * T(y,z)),u \ z) | x = K((y \ z) \ u,u \ ((y \ z) * T(y,z))). K((T(x,y) \ (z * T(y,x))) * K(x,y),z \ x) = K((y \ x) \ z,z \ ((y \ x) * T(y,x))). K(x \ (y * T(z,x)),y \ x) = K((z \ x) \ y,y \ ((z \ x) * T(z,x))). K((x \ y) \ z,z \ ((x \ y) * T(x,y))) = K(y \ (z * T(x,y)),z \ y). x != K(y \ (z * T(u,w)),z \ y) | x = K(y \ (z * u),T(z \ y,w)). K((x \ y) \ z,z \ ((x \ y) * T(x,y))) = K(y \ (z * x),T(z \ y,y)). K((x \ y) \ z,z \ ((x \ y) * T(x,y))) = K(y \ (z * x),y / z). x != K(y,z \ ((u \ w) * T(u,v5))) | x = K(y,K(u,v5) * (z \ T(w,u))). K(x \ (y * z),x / y) = K((z \ x) \ y,K(z,x) * (y \ T(x,z))). K((x \ y) \ z,K(x,y) * (z \ T(y,x))) = K(y \ (z * x),y / z). K((x \ y) \ z,T(z \ y,K(y,x))) = K(y \ (z * x),y / z). K((x \ y) \ z,z \ y) = K(y \ (z * x),y / z). a(x,y,K(z \ (y * u),z / y)) * K(x,(y * u) / z) = K(x,y / (z / u)). a(x,y,K(z \ (y * u),y \ z)) * K(x,(y * u) / z) = K(x,y / (z / u)). a(x,y,K(z,y \ u)) * K(x,(y * z) / u) = K(x,y / (u / z)). x * K(y,z) != K(u,w) | x = K(z,y) * K(u,w). a(x,y,K(z,y \ u)) = K((y * z) / u,x) * K(x,y / (u / z)). K((x * y) / z,u) * K(u,x / (z / y)) = a(u,x,K(y,x \ z)). (x * a(x,y,K(z,y \ u))) * K(x,(y * z) / u) = x * K(x,y / (u / z)). a(x,y,K(a(z,u,u \ 1),y \ w)) * K(x,(a(z,u,u \ 1) * y) / w) = K(x,y / (w / a(z,u,u \ 1))). a(x,y,K(z,y \ u)) * K(x,(y * L(z,w,K(v5,v6))) / u) = K(x,y / (u / L(z,w,K(v5,v6)))). K(x,y * K(z,u / (w / v5))) = K(x,y * (a(z,u,K(v5,u \ w)) * K(z,w \ (u * v5)))). K(x,y * (a(z,u,K(w,u \ v5)) * K(z,v5 \ (u * w)))) = K(x,y * K(z,u / (v5 / w))). a(x,y,K(z,y \ u)) * K(x,(y * z) / u) = K(x,y / (u / L(z,w,K(v5,v6)))). K(x,y / (z / L(u,w,K(v5,v6)))) = a(x,y,K(u,y \ z)) * K(x,(y * u) / z). x != a(y,z,K(u,z \ w)) * K(y,(z * u) / w) | x = K(y,z / (w / u)). K(x,y / (z / L(u,w,K(v5,v6)))) = K(x,y / (z / u)). K(x,y * K(z,u \ (w * v5))) = K(x,y * K(z,w / (u / v5))). K(x,y * K(z,u / (w / v5))) = K(x,y * K(z,w \ (u * v5))). x != K(y,(z / u) * K(u,w)) | x = K(y,(z / T(u,w)) * a(v5,v6,K(v7,v8))). K(x,(y / z) * K(z,u \ (w * v5))) = K(x,(y / T(z,w / (u / v5))) * a(v6,v7,K(v8,v9))). K(x,(y / T(z,u / (w / v5))) * a(v6,v7,K(v8,v9))) = K(x,(y / z) * K(z,w \ (u * v5))). x != K(y,(z / u) * K(w,v5)) | x = K(y,z * (u \ K(w,v5))). K(x,(y / T(z,u / (w / v5))) * a(v6,v7,K(v8,v9))) = K(x,y * (z \ K(z,w \ (u * v5)))). x != K(y,z * (u \ K(u,w))) | x = K(y,z / T(u,w)). K(x,(y / T(z,u / (w / v5))) * a(v6,v7,K(v8,v9))) = 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,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,y / T(z,u \ (w * v5))) != v6 | K(x,y / T(z,w * (u / v5))) = v6. x != K(y,z / T(u,w * (v5 / v6))) | x = K(y,z / T(u,w * (v6 \ v5))). K(x,y / T(z,u \ (w * v5))) = K(x,y / T(z,w * (v5 \ u))). K(x,y / T(z,u * (w \ v5))) != v6 | K(x,y / T(z,u * (v5 / w))) = v6. a(x,y,a(z,u,K(u \ 1,y \ w))) * K(x,(a(z,u,u \ 1) * y) / w) = K(x,y / (w / a(z,u,u \ 1))). 1 * K(x,(a(y,z,z \ 1) * u) / w) = K(x,u / (w / a(y,z,z \ 1))). 1 * K(x,(y / z) \ a(u,w,w \ 1)) = K(x,z / (y / a(u,w,w \ 1))). K(x,(y / z) \ a(u,w,w \ 1)) = K(x,z / (y / a(u,w,w \ 1))). K(x,y / (z / a(u,w,w \ 1))) = K(x,(z / y) \ a(u,w,w \ 1)). K(x,y / (a(z,u,u \ 1) \ w)) = K(x,(w / y) \ a(z,u,u \ 1)). L(x,y,K(z,y \ u)) * K(x,(y * z) / u) = x * K(x,y / (u / z)). L(x * K(x,(y * z) / u),y,K(z,y \ u)) = x * K(x,y / (u / z)). L(T(x,(y * z) / u),y,K(z,y \ u)) = x * K(x,y / (u / z)). L(T(x,(y * z) / u),y,K(z,y \ u)) = T(x,y / (u / z)). (x \ y) \ (x \ T(y,z / (u / w))) = K(y,L((z * w) / u,z,w \ 1)). K(x,L((y * z) / u,y,z \ 1)) = (w \ x) \ (w \ T(x,y / (u / z))). K(x,L((y * z) / u,y,z \ 1)) != w | K(x,y / (u / z)) = w. K(x,y / (z / u)) = K(x,y / (z * ((y * u) \ y))). K(x,y / (z * ((y * u) \ y))) = K(x,y / (z / u)). K(x,y / (z / u)) = K(x,L((y * u) / z,z,u \ 1)). K(x,L((y * z) / u,u,z \ 1)) = K(x,y / (u / z)). K(x,y / ((y / z) / u)) = K(x,((y / L(u \ 1,u,y)) * z) / y). K(x,((y / L(z \ 1,z,y)) * u) / y) = K(x,y / ((y / u) / z)). K(x,y / (z * ((y * u) \ y))) != w | K(x,y / (z / u)) = w. K(x,y / (z * T((y * (1 / u)) \ y,w))) != v5 | K(x,y / (z / (1 / T(u,w)))) = v5. K(x,y / (z * T((y * u) \ y,w))) = K(x,y / ((z * K((y * u) \ y,w)) / u)). K(x,y / ((z * K((y * u) \ y,w)) / u)) = K(x,y / (z * T((y * u) \ y,w))). K(x,T(y,z) / (u * ((y * w) \ y))) = K(x,T(y,z) / (u / w)). x != K(y,z / ((z / u) * w)) | x = K(y,L(T(w \ u,z),w,u \ z)). K(x,T(y,z) / ((T(y,z) / u) / w)) = K(x,L(T(((y * w) \ y) \ u,T(y,z)),(y * w) \ y,u \ T(y,z))). K(x,L(T(((y * z) \ y) \ u,T(y,w)),(y * z) \ y,u \ T(y,w))) = K(x,T(y,w) / ((T(y,w) / u) / z)). K(x,T(y,z) / ((T(y,z) / u) / w)) = K(x,L(T(((y * w) \ y) \ u,T(y,z)),(y * w) \ y,u \ y)). K(x,L(T(((y * z) \ y) \ u,T(y,w)),(y * z) \ y,u \ y)) = K(x,T(y,w) / ((T(y,w) / u) / z)). K(x,L(T(((y * z) \ y) \ u,y),(y * z) \ y,u \ y)) = K(x,T(y,w) / ((T(y,w) / u) / z)). K(x,y / ((y / z) * ((y * u) \ y))) = K(x,T(y,w) / ((T(y,w) / z) / u)). K(x,T(y,z) / ((T(y,z) / u) / w)) = K(x,y / ((y / u) * ((y * w) \ y))). x != K(y,z / (u * ((z * w) \ z))) | x = K(y,z / (u / w)). K(x,T(y,z) / ((T(y,z) / u) / w)) = K(x,y / ((y / u) / w)). K(x,y / ((z * K(u \ 1,w)) / u)) = K(x,y / (z * T((y * u) \ y,w))). K(x,y / ((z / u) * K(u \ 1,w))) = K(x,y / (z * T((y * u) \ y,w))). K(x,y * ((z / u) \ K(w,u \ 1))) = K(x,y / (z * T((y * u) \ y,w))). K(x,y / (z * T((y * u) \ y,w))) = K(x,y * ((z / u) \ K(w,u \ 1))). x != K(y,z * (u \ K(w,v5 \ 1))) | x = K(y,z * (u \ K(v5,w))). K(x,y / (z * T((y * u) \ y,w))) = K(x,y * ((z / u) \ K(u,w))). x != K(y,z * ((u / w) \ K(w,v5))) | x = K(y,z / (u / T(w,v5))). K(x,y / (z * T((y * u) \ y,w))) = K(x,y / (z / T(u,w))). K(x,y / (z / (1 / T(u,w)))) = K(x,y / (z / T(1 / u,w))). x != K(y,z / (u / T(1 / w,v5))) | x = K(y,z / (u / T(w \ 1,v5))). K(x,y / (z / (1 / T(u,w)))) = K(x,y / (z / T(u \ 1,w))). x != K(y,z / (u / (1 / w))) | x = K(y,z / (u / (w \ 1))). K(x,y / (z / T(u \ 1,w))) = K(x,y / (z / (T(u,w) \ 1))). K(x,y / (z / (T(u,w) \ 1))) = K(x,y / (z / T(u \ 1,w))). K(x,y / (R(z,u \ 1,u) / (T(u \ 1,w) \ 1))) = K(x,y / (z * (T(u,w) \ 1))). K(x,y / (z * T(u \ 1,w))) = K(x,y / (z * (T(u,w) \ 1))). K(x,y / (z * (T(u,w) \ 1))) = K(x,y / (z * T(u \ 1,w))). x != K(y,(z * u) / (z * (T(1 / w,u) \ 1))) | x = K(y,L(T((u \ (w \ u)) * u,z * (T(1 / w,u) \ 1)),T(1 / w,u) \ 1,z)). K(x,(y * z) / (y * T((1 / u) \ 1,z))) = K(x,L(T((z \ (u \ z)) * z,y * (T(1 / u,z) \ 1)),T(1 / u,z) \ 1,y)). K(x,L(T((y \ (z \ y)) * y,u * (T(1 / z,y) \ 1)),T(1 / z,y) \ 1,u)) = K(x,(u * y) / (u * T((1 / z) \ 1,y))). K(x,L(T((y \ (z \ y)) * y,u * (T(1 / z,y) \ 1)),T(1 / z,y) \ 1,u)) = K(x,(u * y) / (u * T(z,y))). K(x,L(T((y \ (z \ y)) * y,u / T(1 / z,y)),T(1 / z,y) \ 1,u)) = K(x,(u * y) / (u * T(z,y))). K(x,L(T((y \ (z \ y)) * y,u * T(z,y)),T(1 / z,y) \ 1,u)) = K(x,(u * y) / (u * T(z,y))). K(x,L(T((y \ (z \ y)) * y,u * T(z,y)),T(z \ 1,y) \ 1,u)) = K(x,(u * y) / (u * T(z,y))). K(x,L(T((y \ (z \ y)) * y,u * T(z,y)),(z \ 1) \ 1,u)) = K(x,(u * y) / (u * T(z,y))). K(x,L(T((y \ (z \ y)) * y,u * T(z,y)),z,u)) = K(x,(u * y) / (u * T(z,y))). x != K(y,L(T(z,u * T(w,v5)),v6,v7)) | x = K(y,L(T(z,u * w),v6,v7)). K(x,(y * z) / (y * T(u,z))) = K(x,L(T((z \ (u \ z)) * z,y * u),u,y)). K(x,L(T((y \ (z \ y)) * y,u * z),z,u)) = K(x,(u * y) / (u * T(z,y))). x != K(y,L(T((z \ u) * z,w),v5,v6)) | x = K(y,L(T(T(u,w),z),v5,v6)). K(x,(y * z) / (y * T(u,z))) = K(x,L(T(T(u \ z,y * u),z),u,y)). K(x,L(T(T(y \ z,u * y),z),y,u)) = K(x,(u * z) / (u * T(y,z))). x != K(y,L(T(T(z \ u,w),u),v5,v6)) | x = K(y,L(T(u / z,w),v5,v6)). K(x,(y * z) / (y * T(u,z))) = K(x,L(T(z / u,y * u),u,y)). K(x,L(T(y / z,u * z),z,u)) = K(x,(u * y) / (u * T(z,y))). x != K(y,L(T(z / u,w * u),u,w)) | x = K(y,(u * w) \ (z * w)). K(x,(y * z) / (y * T(u,z))) = K(x,(u * y) \ (z * y)). K(x,L((y * z) / (y * T(u,z)),w,v5)) = K((w * v5) / ((x \ w) * v5),(u * y) \ (z * y)). K((x * y) / ((z \ x) * y),(u * w) \ (v5 * w)) = K(z,L((w * v5) / (w * T(u,v5)),x,y)). K(x,L((y * z) \ (u * z),w,v5)) = K(x,L((z * u) / (z * T(y,u)),w,v5)). K(x,L((y * z) / (y * T(u,z)),w,v5)) = K(x,L((u * y) \ (z * y),w,v5)). K(x,L((y * z) / (y * T(u,z)),y,z \ 1)) = K(x,(z \ (u * y)) \ y). K(x,y / ((y * T(z,u)) / u)) = K(x,(u \ (z * y)) \ y). x != K(y,(z \ (u * w)) \ w) | x = K(y,w \ (u \ (z * w))). K(x,y / ((y * T(z,u)) / u)) = K(x,y \ (z \ (u * y))). K(x,y / ((y * L(z,u,z)) / (u * z))) = K(x,y \ (((u * z) / u) \ ((u * z) * y))). K(x,y \ (((z * u) / z) \ ((z * u) * y))) = K(x,y / ((y * L(u,z,u)) / (z * u))). K(x,((y * z) * u) / y) = K(x,y / ((y / u) / z)). K(x,((y * ((y * z) / y)) * u) / T(y,z)) = K(x,T(y,z) / ((T(y,z) / u) / z)). K(x,T(y,z) / ((T(y,z) / u) / z)) = K(x,((y * ((y * z) / y)) * u) / T(y,z)). K(x,y / (z / u)) = K(x,((y * u) * (u \ 1)) / (z * (u \ 1))). K(x,((y * z) * (z \ 1)) / (u * (z \ 1))) = K(x,y / (u / z)). K(x,L(y / z,z,u \ 1)) = K(x,(y / u) / (z / u)). K(x,L(y / z,z,u \ (w \ 1))) = K(x,(y / (w * u)) / (z / (w * u))). K(x,L(y / z,u \ 1,z \ (u \ 1))) = K(x,(y / (u * z)) / (z / (u * z))). x != K(y,z / (u / (w * u))) | x = K(y,z / ((u * w) \ u)). K(x,L(y / z,u \ 1,z \ (u \ 1))) = K(x,(y / (u * z)) / ((z * u) \ z)). x != K(y,L(z / u,w,u \ w)) | x = K(y,(z * (u \ w)) / w). K(x,(y / (z * u)) / ((u * z) \ u)) = K(x,(y * (u \ (z \ 1))) / (z \ 1)). K(x,(y / (z * u)) / ((u * z) \ u)) = K(x,(y * (u \ (z \ 1))) * z). K(x,R(y,z,z \ 1) / (u * (z \ 1))) = K(x,y / (u / z)). K(x,L(y,z,z \ 1) / (u * (z \ 1))) = K(x,y / (u / z)). x * y != K(z,L(u,w,w \ 1) / (v5 * (w \ 1))) | x \ K(z,u / (v5 / w)) = y. K(x,K(y * (z \ 1),L(u,z,z \ 1))) \ K(x,u / (y / z)) = K(x,(y * (z \ 1)) \ L(u,z,z \ 1)). K(x,K(y * (z \ 1),u)) \ K(x,u / (y / z)) = K(x,(y * (z \ 1)) \ L(u,z,z \ 1)). K(x,(y * (z \ 1)) \ L(u,z,z \ 1)) = K(x,K(y * (z \ 1),u)) \ K(x,u / (y / z)). K(x,(y * (z \ 1)) \ L(u,z,z \ 1)) = K(x,K(u,z \ y)) \ K(x,u / (y / z)). x != K(y,K(z,u)) \ w | x = K(y,K(z,u)) * w. K(x,(y * (z \ 1)) \ L(u,z,z \ 1)) = K(x,K(u,z \ y)) * K(x,u / (y / z)). x != K(y,K(z,u \ w)) * K(y,z / (w / u)) | x = K(y,(w / u) \ z). K(x,(y * (z \ 1)) \ L(u,z,z \ 1)) = K(x,(y / z) \ u). K(x,(y * (z \ 1)) \ L(u,z,z \ 1)) != w | K(x,(y / z) \ u) = w. K(x,(y * (z \ 1)) \ L(y,z,z \ 1)) = K(x,z). K(x,y) = K(x,(y \ 1) \ a(z,y,y \ 1)). K(x,(y \ 1) \ a(z,y,y \ 1)) = K(x,y). K(x,y * a(z,y,y \ 1)) = K(x,y). x * K(x,y) = T(x,y * a(z,y,y \ 1)). T(x,y * a(z,y,y \ 1)) = x * K(x,y). ((1 / x) \ a(y,x,x \ 1)) * K(x \ 1,x) = a(y,x,x \ 1) / (1 / x). (1 / x) \ a(y,x,x \ 1) = a(y,x,x \ 1) / (x \ 1). a(x,y,y \ 1) / (y \ 1) = (1 / y) \ a(x,y,y \ 1). T(x,y * a(z,y,y \ 1)) = T(x,y). (x * a(y,x,x \ 1)) * T(z,x) != u * w | u \ (z * (x * a(y,x,x \ 1))) = w. x * (T(x,y) \ (y * a(z,y,y \ 1))) = T(y * a(z,y,y \ 1),x). (a(x,y,y \ 1) * z) \ (z * (y * a(x,y,y \ 1))) = y. x != (a(y,z,z \ 1) * u) \ (u * (w * a(y,z,z \ 1))) | x = L(w,a(y,z,z \ 1),u). x = L(x,a(y,x,x \ 1),z). L(x,a(y,x,x \ 1),z) = x. (a(x,y,y \ 1) * z) * y = z * (y * a(x,y,y \ 1)). (x * a(y,z,z \ 1)) * z = x * (z * a(y,z,z \ 1)). K(x,y) * (x * a(z,x,x \ 1)) = T(x * a(z,x,x \ 1),y). T(x,y) * a(z,x,x \ 1) = T(x * a(z,x,x \ 1),y). L(x,a(y,x,x \ 1),z) * (z * a(y,x,x \ 1)) = z * T(x * a(y,x,x \ 1),z). L(x,a(y,x,x \ 1),z) * (z * a(y,x,x \ 1)) = (x * a(y,x,x \ 1)) * z. x * (y * a(z,x,x \ 1)) = (x * a(z,x,x \ 1)) * y. (x * a(y,x,x \ 1)) * z = x * (z * a(y,x,x \ 1)). x * y != z * ((u \ (z \ w)) * u) | x \ (w * K(z \ (u \ w),u)) = y. (x * a(y,x,x \ 1)) \ (z * K(x \ (a(y,x,x \ 1) \ z),a(y,x,x \ 1))) = a(y,x,x \ 1) \ (x \ z). (x * a(y,x,x \ 1)) \ (z * 1) = a(y,x,x \ 1) \ (x \ z). (x * a(y,x,x \ 1)) \ z = a(y,x,x \ 1) \ (x \ z). x * (a(y,T(z,x),T(z,x) \ 1) \ T(z,x)) = z * (a(y,z,z \ 1) \ (z \ (z * x))). K(x,((y * a(z,y,y \ 1)) \ u) \ w) = K(x,a(z,y,y \ 1) * ((y \ u) \ w)). x * (a(y,T(z,x),T(z,x) \ 1) \ T(z,x)) = z * (a(y,z,z \ 1) \ x). x * (a(y,z,z \ 1) \ T(z,x)) = z * (a(y,z,z \ 1) \ x). x * T(a(y,z,z \ 1) \ z,x) = z * (a(y,z,z \ 1) \ x). (a(x,y,y \ 1) \ y) * z = y * (a(x,y,y \ 1) \ z). x * y != R(z,u,z) * w | x \ (z * (a(z,u,z) * w)) = y. (a(x,R(y,z,y),R(y,z,y) \ 1) \ R(y,z,y)) \ (y * (a(y,z,y) * (a(x,R(y,z,y),R(y,z,y) \ 1) \ u))) = u. (a(x,R(y,z,y),y \ 1) \ R(y,z,y)) \ (y * (a(y,z,y) * (a(x,R(y,z,y),R(y,z,y) \ 1) \ u))) = u. (a(x,y,y \ 1) \ R(y,z,y)) \ (y * (a(y,z,y) * (a(x,R(y,z,y),R(y,z,y) \ 1) \ u))) = u. (a(x,y,y \ 1) \ R(y,z,y)) \ (y * (a(y,z,y) * (a(x,R(y,z,y),y \ 1) \ u))) = u. (a(x,y,y \ 1) \ R(y,z,y)) \ (y * (a(y,z,y) * (a(x,y,y \ 1) \ u))) = u. (a(x,y,y \ 1) \ R(y,z,y)) \ (R(y,z,y) * (a(x,y,y \ 1) \ u)) = u. x != (a(y,z,z \ 1) \ u) \ (u * (a(y,z,z \ 1) \ w)) | x = L(w,a(y,z,z \ 1) \ 1,u). x = L(x,a(y,z,z \ 1) \ 1,R(z,u,z)). L(x,a(y,z,z \ 1) \ 1,R(z,u,z)) = x. x != L(y,z,R(u,w,u)) | x = L(y,z,u). x = L(x,a(y,z,z \ 1) \ 1,z). L(x,a(y,z,z \ 1) \ 1,z) = x. L(x,L(y,y \ 1,z) * (1 / y),y) = x. x != L(y,z * (1 / u),w) | x = L(y,z * (u \ 1),w). x = L(x,L(y,y \ 1,z) * (y \ 1),y). L(x,L(y,y \ 1,z) * (y \ 1),y) = x. L(x,y \ L(y,y \ 1,z),y) = x. x * y != T(z * a(u,z,z \ 1),w) | x \ (T(z,w) * a(u,z,z \ 1)) = y. (1 / x) \ (T(1 / x,x) * a(y,1 / x,(1 / x) \ 1)) = (x \ a(y,1 / x,(1 / x) \ 1)) * x. (1 / x) \ ((x \ 1) * a(y,1 / x,(1 / x) \ 1)) = (x \ a(y,1 / x,(1 / x) \ 1)) * x. (1 / x) \ ((x \ 1) * a(y,1 / x,x)) = (x \ a(y,1 / x,(1 / x) \ 1)) * x. (1 / x) \ ((x \ 1) * a(y,x \ 1,x)) = (x \ a(y,1 / x,(1 / x) \ 1)) * x. K(x \ 1,x) * a(y,x \ 1,x) = (x \ a(y,1 / x,(1 / x) \ 1)) * x. (x \ a(y,1 / x,(1 / x) \ 1)) * x = K(x \ 1,x) * a(y,x \ 1,x). (x \ a(y,1 / x,x)) * x = K(x \ 1,x) * a(y,x \ 1,x). K(x \ 1,x) * a(y,x \ 1,x) = (x \ a(y,1 / x,x)) * x. K(x \ 1,x) * a(y,x \ 1,x) = (x \ a(y,x \ 1,x)) * x. x != y * (z \ K(z,u)) | x = (y * K(z,u)) * (z \ 1). K((x \ K(x,y)) \ 1,x \ K(x,y)) * a(z,(x \ K(x,y)) \ 1,x \ K(x,y)) = (((x \ K(x,y)) \ a(z,(x \ K(x,y)) \ 1,x \ K(x,y))) * K(x,y)) * (x \ 1). (((x \ K(x,y)) \ a(z,(x \ K(x,y)) \ 1,x \ K(x,y))) * K(x,y)) * (x \ 1) = K((x \ K(x,y)) \ 1,x \ K(x,y)) * a(z,(x \ K(x,y)) \ 1,x \ K(x,y)). x != K(y \ 1,y) * a((y \ 1) \ z,y \ 1,y) | x = T((y \ 1) * (L(y \ 1,(y \ 1) \ 1,z) \ 1),u). (x \ a((x \ 1) \ y,x \ 1,x)) * x = T((x \ 1) * (L(x \ 1,(x \ 1) \ 1,y) \ 1),z). T((x \ 1) * (L(x \ 1,(x \ 1) \ 1,y) \ 1),z) = (x \ a((x \ 1) \ y,x \ 1,x)) * x. ((x \ a(y,x \ 1,x)) * x) * z = K(x \ 1,x) * (a(y,x \ 1,x) * z). K(x \ 1,x) * (a(y,x \ 1,x) * z) = ((x \ a(y,x \ 1,x)) * x) * z. T((x \ 1) * (L(x \ 1,x,y) \ 1),z) = (x \ a((x \ 1) \ y,x \ 1,x)) * x. T(L(x \ 1,x,y) \ (x \ 1),z) = (x \ a((x \ 1) \ y,x \ 1,x)) * x. x != T(L(y \ 1,y,z) \ (y \ 1),u) | x = y \ (L(1 / y,y,z) \ 1). (x \ a((x \ 1) \ y,x \ 1,x)) * x = x \ (L(1 / x,x,y) \ 1). (x \ a(y,x \ 1,x)) * x = x \ (L(1 / x,x,y * (x \ 1)) \ 1). x \ (L(1 / x,x,y * (x \ 1)) \ 1) = (x \ a(y,x \ 1,x)) * x. x \ (a(y,x \ 1,x) / (1 / x)) = (x \ a(y,x \ 1,x)) * x. (x \ 1) * T(((x \ 1) \ a(y,(x \ 1) \ 1,x \ 1)) * (x \ 1),z) = x \ T(x * (a(y,(x \ 1) \ 1,x \ 1) / (1 / (x \ 1))),z). (x \ 1) * T(((x \ 1) \ a(y,x,x \ 1)) * (x \ 1),z) = x \ T(x * (a(y,(x \ 1) \ 1,x \ 1) / (1 / (x \ 1))),z). x \ T(x * (a(y,(x \ 1) \ 1,x \ 1) / (1 / (x \ 1))),z) = (x \ 1) * T(((x \ 1) \ a(y,x,x \ 1)) * (x \ 1),z). x != K(y \ 1,y) * (a(z,y \ 1,y) * u) | x = (y * L(y \ 1,y,z * (y \ 1))) \ u. ((x \ a(y,x \ 1,x)) * x) * z = (x * L(x \ 1,x,y * (x \ 1))) \ z. (x * L(x \ 1,x,y * (x \ 1))) \ z = ((x \ a(y,x \ 1,x)) * x) * z. (x * L(x \ 1,x,y)) \ z = ((x \ a((x \ 1) \ y,x \ 1,x)) * x) * z. ((x \ a((x \ 1) \ y,x \ 1,x)) * x) * z = (x * L(x \ 1,x,y)) \ z. (x \ (L(1 / x,x,y) \ 1)) * z = (x * L(x \ 1,x,y)) \ z. x != (y \ (L(1 / y,y,z) \ 1)) * u | x = u * (y \ (L(1 / y,y,z) \ 1)). (x * L(x \ 1,x,y)) \ z = z * (x \ (L(1 / x,x,y) \ 1)). x * (y \ (L(1 / y,y,z) \ 1)) = (y * L(y \ 1,y,z)) \ x. (((x \ K(x,y)) \ a(z,(x \ K(x,y)) \ 1,x \ K(x,y))) * K(x,y)) * (x \ 1) = K((x \ 1) \ K(y,x),x \ K(x,y)) * a(z,(x \ K(x,y)) \ 1,x \ K(x,y)). (((x \ K(x,y)) \ a(z,(x \ K(x,y)) \ 1,x \ K(x,y))) * K(x,y)) * (x \ 1) = K(x * K(y,x),x \ K(x,y)) * a(z,(x \ K(x,y)) \ 1,x \ K(x,y)). a(x,K(y,z / (u / w)),K(K((z * w) / u,y),v5)) * K(v5,a(y,z,K(w,z \ u)) \ (T(K(y,z / (u / w)),v6) * x)) = K(v5,T(K(y,z / (u / w)),v6) \ (K((z * w) / u,y) \ (K(y,z / (u / w)) * x))). 1 * K(x,a(y,z,K(u,z \ w)) \ (T(K(y,z / (w / u)),v5) * v6)) = K(x,T(K(y,z / (w / u)),v5) \ (K((z * u) / w,y) \ (K(y,z / (w / u)) * v6))). K(x,T(K(y,z / (u / w)),v5) \ (K((z * w) / u,y) \ (K(y,z / (u / w)) * v6))) = 1 * K(x,a(y,z,K(w,z \ u)) \ (T(K(y,z / (u / w)),v5) * v6)). K(x,T(K(y,z / (u / w)),v5) \ (K((z * w) / u,y) \ (K(y,z / (u / w)) * v6))) = 1 * K(x,a(y,z,K(w,z \ u)) \ (K(y,T(z / (u / w),v5)) * v6)). K(x,T(K(y,z / (u / w)),v5) \ (K((z * w) / u,y) \ (K(y,z / (u / w)) * v6))) = 1 * K(x,a(w,z,K(y,z \ u)) * (K(y,T(z / (u / w),v5)) * v6)). K(x,T(K(y,z / (u / w)),v5) \ (K((z * w) / u,y) \ (K(y,z / (u / w)) * v6))) = 1 * K(x,a(w,z,K(y,z \ u)) * (K(y,z / (u / w)) * v6)). K(x,T(K(y,z / (u / w)),v5) \ (K((z * w) / u,y) \ (K(y,z / (u / w)) * v6))) = 1 * K(x,a(w,z,K(y,z \ u)) * (K(y,(u / w) \ z) * v6)). K(x,T(K(y,z / (u / w)),v5) \ (K((z * w) / u,y) \ (K(y,z / (u / w)) * v6))) = 1 * K(x,K(y,(u / w) \ z) * v6). K(x,T(K(y,z / (u / w)),v5) \ (K((z * w) / u,y) \ (K(y,z / (u / w)) * v6))) = 1 * K(x,K(y,(w \ u) \ z) * v6). K(x,T(K(y,z / (u / w)),v5) \ (K((z * w) / u,y) \ (K(y,z / (u / w)) * v6))) = K(x,K(y,(w \ u) \ z) * v6). K(x,K(y,T(z / (u / w),v5)) \ (K((z * w) / u,y) \ (K(y,z / (u / w)) * v6))) = K(x,K(y,(w \ u) \ z) * v6). K(x,K(y,T(z / (u / w),v5)) \ (K(y,(z * w) / u) * (K(y,z / (u / w)) * v6))) = K(x,K(y,(w \ u) \ z) * v6). K(x,K(y / (z / u),T(w,v5)) * (K(w,(y * u) / z) * (K(w,y / (z / u)) * v6))) = K(x,K(w,(u \ z) \ y) * v6). K(x,K(y / (z / u),T(w,v5)) * (K(w,z \ (y * u)) * (K(w,y / (z / u)) * v6))) = K(x,K(w,(u \ z) \ y) * v6). K(x,(K(y,z \ (u * w)) * (K(y,u / (z / w)) * v5)) * K(u / (z / w),y)) = K(x,K(y,(w \ z) \ u) * v5). K(x,K(y,z \ (u * w)) * ((K(y,u / (z / w)) * v5) * K(u / (z / w),y))) = K(x,K(y,(w \ z) \ u) * v5). K(x,K(y,z \ (u * w)) * T(v5,K(y,u / (z / w)))) = K(x,K(y,(w \ z) \ u) * v5). K(x,K(y,(z \ u) \ w) * v5) != v6 | K(x,K(y,u \ (w * z)) * v5) = v6. K(x,K(y,z \ (u * w)) * v5) = K(x,K(y,u * (w \ z)) * v5). K(x,K(y,(z * u) * w) * v5) = K(x,K(y,z * (u \ w)) * v5). x != K(y,K(z,(T(u,w) * v5) * v6) * v7) | x = K(y,v7 * K(T(v5 * T(u,w),u) * v6,z)). K(x,K(y,T(z,u) * (w \ v5)) * v6) = K(x,v6 * K(T(w * T(z,u),z) * v5,y)). K(x,y * K(T(z * T(u,w),u) * v5,v6)) = K(x,K(v6,T(u,w) * (z \ v5)) * y). x != K(y,K(z,T(u,w) * v5) * v6) | x = K(y,v6 * K(u * v5,z)). K(x,y * K(T(z * T(u,w),u) * v5,v6)) = K(x,y * K(u * (z \ v5),v6)). K(x,y * K((T(z,u) * w) * v5,v6)) = K(x,y * K(z * (w \ v5),v6)). K(x,y * K((z * u) * w,v5)) = K(x,y * K(z * (u \ w),v5)). x / (K(y * (z \ u),w \ z) * x) = K(w \ z,y * (T(z,w) \ u)). K(x \ y,z * (T(y,x) \ u)) = w / (K(z * (y \ u),x \ y) * w). K(x \ y,z * (T(y,x) \ u)) = K(x \ y,z * (y \ u)). (T(x,y) / y) * (z / (T(x,y) / y)) = z * K(y \ x,y * (x \ z)). x != y * K(z \ u,z * (u \ y)) | x = (z \ u) * (y / (z \ u)). (T(x,y) / y) * (z / (T(x,y) / y)) = (y \ x) * (z / (y \ x)). (T(x * y,y) / y) * (z / (T(x * y,y) / y)) = T(x,y) * (z / (y \ (x * y))). (x \ T(x * y,x)) * (z / (T(y * x,x) / x)) = T(y,x) * (z / (x \ (y * x))). (x \ T(x * y,x)) * (z / (x \ T(x * y,x))) = T(y,x) * (z / (x \ (y * x))). x != (y \ T(z,y)) * (u / (y \ T(z,y))) | x = (z / y) * (u / (z / y)). T(x,y) * (z / (y \ (x * y))) = ((y * x) / y) * (z / ((y * x) / y)). ((x * y) / x) * (z / ((x * y) / x)) = T(y,x) * (z / (x \ (y * x))). ((x * y) / x) * (z / ((x * y) / x)) = T(y,x) * (z / T(y,x)). ((x * ((x \ y) * T(x,y))) / x) * (z / ((x * ((x \ y) * T(x,y))) / x)) = ((x \ y) * x) * (z / T((x \ y) * T(x,y),x)). ((L(x,x \ y,x) * y) / x) * (z / ((x * ((x \ y) * T(x,y))) / x)) = ((x \ y) * x) * (z / T((x \ y) * T(x,y),x)). ((x * y) / R(x,x \ y,x)) * (z / ((x * ((x \ y) * T(x,y))) / x)) = ((x \ y) * x) * (z / T((x \ y) * T(x,y),x)). ((x * y) / R(x,x \ y,x)) * (z / ((L(x,x \ y,x) * y) / x)) = ((x \ y) * x) * (z / T((x \ y) * T(x,y),x)). ((x * y) / R(x,x \ y,x)) * (z / ((x * y) / R(x,x \ y,x))) = ((x \ y) * x) * (z / T((x \ y) * T(x,y),x)). x != K((y \ z) * K(y,u),w) | x = K(T(y,u) \ z,w). K(((x \ y) * x) \ z,u) = K(T(y,x) \ z,u). K(x / ((y \ z) * y),u) = K(T(z,y) \ x,T(u,z)). K(T(x,y) \ z,T(u,x)) = K(z / ((y \ x) * y),u). K(x / ((y \ z) * y),u) != w | K(x / T(z,y),u) = w. K(x / T(y / z,y),u) = K(K(z \ 1,y) * (x / (y / z)),u). K(K(x \ 1,y) * (z / (y / x)),u) = K(z / T(y / x,y),u). x != K(y / T(z / u,z),w) | x = K(y / (u \ z),w). K(K(x \ 1,y) * (z / (y / x)),u) = K(z / (x \ y),u). K(K(x,y) * (z / (x / y)),u) = K(z / (y \ x),u). x != K(K(y,z) * (u / (w / z)),v5) | x = K(u / (w / T(z,y)),v5). K(x / (y \ z),u) = K(x / (z / T(y,z)),u). K(x / (y / T(z,y)),u) = K(x / (z \ y),u). K(x / ((K(y,z) * T(z,u)) / T(w,K(y,z) * T(z,u))),v5) = K(x / ((w \ T(z,u)) * K(y,z)),v5). K(x / ((K(y,z) * T(z,u)) / T(w,T(z * K(y,z),u))),v5) = K(x / ((w \ T(z,u)) * K(y,z)),v5). K(x / ((K(y,z) * T(z,u)) / T(w,T(T(z,y),u))),v5) = K(x / ((w \ T(z,u)) * K(y,z)),v5). K(x / ((K(y,z) * T(z,u)) / T(w,T(z,y))),v5) = K(x / ((w \ T(z,u)) * K(y,z)),v5). K(x / ((K(y,z) * T(z,u)) / T(w,z)),v5) = K(x / ((w \ T(z,u)) * K(y,z)),v5). x != K(y / (z * K(u,w)),v5) | x = K(K(u,w) * (y / z),v5). K(x / ((K(y,z) * T(z,u)) / T(w,z)),v5) = K(K(y,z) * (x / (w \ T(z,u))),v5). K(x / (K(y,z) * (T(z,u) / T(w,z))),v5) = K(K(y,z) * (x / (w \ T(z,u))),v5). x != K(y / (K(z,u) * w),v5) | x = K(y * (w \ K(u,z)),v5). K(K(x,y) * (z / (u \ T(y,w))),v5) = K(z * ((T(y,w) / T(u,y)) \ K(y,x)),v5). K(x * ((T(y,z) / T(u,y)) \ K(y,w)),v5) = K(K(w,y) * (x / (u \ T(y,z))),v5). x != K(y * ((T(z,u) / w) \ K(z,v5)),v6) | x = K(y / (T(T(z,v5),u) / w),v6). K(K(x,y) * (z / (u \ T(y,w))),v5) = K(z / (T(T(y,x),w) / T(u,y)),v5). K(x / (T(T(y,z),u) / T(w,y)),v5) = K(K(z,y) * (x / (w \ T(y,u))),v5). K(x / (T(T(y,z),u) / T(w,T(y,z))),v5) = K(K(y,T(y,z)) * (x / (w \ T(T(y,z),u))),v5). K(K(x,T(x,y)) * (z / (u \ T(T(x,y),w))),v5) = K(z / (T(T(x,y),w) / T(u,T(x,y))),v5). x != K(y / (z / T(u,T(w,v5))),v6) | x = K(y / (z / T(u,w)),v6). K(K(x,T(x,y)) * (z / (u \ T(T(x,y),w))),v5) = K(z / (T(T(x,y),w) / T(u,x)),v5). K(1 * (x / (y \ T(T(z,u),w))),v5) = K(x / (T(T(z,u),w) / T(y,z)),v5). K(x / (T(T(y,z),u) / T(w,y)),v5) = K(1 * (x / (w \ T(T(y,z),u))),v5). K(x / (T(T(y,z),u) / T(w,y)),v5) = K(x / (w \ T(T(y,z),u)),v5). x != K(y / (T(T(z,u),w) / T(v5,z)),v6) | x = K(K(u,z) * (y / (v5 \ T(z,w))),v6). K(x / (y \ T(T(z,u),w)),v5) = K(K(u,z) * (x / (y \ T(z,w))),v5). K(K(x,y) * (z / (u \ T(y,w))),v5) = K(z / (u \ T(T(y,x),w)),v5). K(x / (y \ T(T(z,u),w)),v5) = K(x * ((y \ T(z,w)) \ K(z,u)),v5). K(x * ((y \ T(z,u)) \ K(z,w)),v5) = K(x / (y \ T(T(z,w),u)),v5). x != K(y,L(T(z,y),u,w)) | K(y,L(z,u,w)) / x = 1. K(x / (y \ T(T(z,u),w)),L(v5,v6,v7)) / K(x * ((y \ T(z,w)) \ K(z,u)),L(T(v5,x / (y \ T(T(z,u),w))),v6,v7)) = 1. K(x / (y \ T(T(z,u),w)),L(v5,v6,v7)) / K(x * ((y \ T(z,w)) \ K(z,u)),L(T(v5,(y \ T(T(z,u),w)) \ x),v6,v7)) = 1. K(x / (y \ T(T(z,u),w)),L(v5,v6,v7)) / K(x * ((y \ T(z,w)) \ K(z,u)),L(T(v5,x * (T(T(z,u),w) \ y)),v6,v7)) = 1. K(x / (y \ T(T(z,u),w)),L(v5,v6,v7)) / K(x * ((y \ T(z,w)) \ K(z,u)),L(T(v5,x * (T(z,u) \ y)),v6,v7)) = 1. K(x / (y \ T(T(z,u),w)),L(v5,v6,v7)) / K(x * ((y \ T(z,w)) \ K(z,u)),L(T(v5,x * (z \ y)),v6,v7)) = 1. K(x / (y \ T(T(z,u),w)),L(v5,v6,v7)) / K(x / (y \ T(T(z,u),w)),L(T(v5,x * (z \ y)),v6,v7)) = 1. K(x / (y \ T(T(z,u),w)),L(v5,v6,v7)) * K(L(T(v5,x * (z \ y)),v6,v7),x / (y \ T(T(z,u),w))) = 1. K(x / (y \ T(T(z,u),w)),L(v5,v6,v7)) * K(T(v5,x * (z \ y)),L(x / (y \ T(T(z,u),w)),v6,v7)) = 1. K(x / (y \ T(T(z,u),w)),L(v5,v6,v7)) * K(v5,T(L(x / (y \ T(T(z,u),w)),v6,v7),x * (z \ y))) = 1. K(x / (y \ T(T(z,u),w)),L(v5,v6,v7)) * K(v5,L(T(x / (y \ T(T(z,u),w)),x * (z \ y)),v6,v7)) = 1. x != K(y,L(z,u,w)) * K(z,L(T(y,v5),u,w)) | x = K(y,K(z,v5)). 1 = K(x / (y \ T(T(z,u),w)),K(v5,x * (z \ y))). K(x / (y \ T(T(z,u),w)),K(v5,x * (z \ y))) = 1. K(x,K(y / (z \ T(T(u,w),v5)),y * (u \ z))) = 1. K(x,K((y \ T(T(z,u),w)) \ v5,(z \ y) * v5)) = 1. K(x,K((y \ z) * u,(z \ T(T(y,w),v5)) \ u)) = 1. K(x,K((y \ z) * u,T(T(y,w),v5) \ (z * u))) = 1. K(x,K((y \ z) * u,y \ (z * u))) = 1. 1 \ a(x,y,K(z,u)) = K(z,(x \ (y * u)) / ((x \ y) * u)). K(x,(y \ (z * u)) / ((y \ z) * u)) = 1 \ a(y,z,K(x,u)). x != 1 \ y | x = y. K(x,(y \ (z * u)) / ((y \ z) * u)) = a(y,z,K(x,u)). K(x,(y \ (z * ((z * u) / z))) / ((y \ T(z,u)) * u)) = a(y,T(z,u),K(x,u)). K(x,T(y,z \ 1)) = K(z * (x * (z \ 1)),y). K(x * (y * (x \ 1)),z) = K(y,T(z,x \ 1)). K(x * (y * (x \ 1)),z) != u | K(y,T(z,x)) = u. K(x,T((y / (y * z)) \ u,w)) = K(w * (x * (w \ 1)),((z * y) \ y) \ u). K(x * (y * (x \ 1)),((z * u) \ u) \ w) = K(y,T((u / (u * z)) \ w,x)). K(x,T(y \ (T(z * u,z) \ w),v5)) = K(v5 * (x * (v5 \ 1)),y \ ((u * z) \ w)). K(x * (y * (x \ 1)),z \ ((u * w) \ v5)) = K(y,T(z \ (T(w * u,w) \ v5),x)). K(x,T(((y * z) \ z) \ u,w)) = K(x,T((z / (z * y)) \ u,w)). K(x,T((y / (y * z)) \ u,w)) = K(x,T(((z * y) \ y) \ u,w)). K(x,T(y \ (T(z * u,z) \ w),v5)) != v6 | K(x,T(y \ ((u * z) \ w),v5)) = v6. x * (K(y,K(z \ u,z / w)) * K(w \ z,y * (u / z))) = x * K(w \ z,(u / z) * y). (x \ K(y,z)) \ ((1 / x) * K(y,z)) = K(K(z,y) * x,(K(z,y) * x) \ 1). x != (y \ K(z,u)) \ ((1 / y) * K(z,u)) | x = K(y,y \ 1). K(K(x,y) * z,(K(x,y) * z) \ 1) = K(z,z \ 1). K(K(x,y) * z,z \ K(y,x)) = K(z,z \ 1). K(x * K(y,z),x \ K(z,y)) = K(x,x \ 1). x != K(y * K(z,u),y \ K(u,z)) | x = (y * K(z,u)) * (K(u,z) / y). K(x,x \ 1) = (x * K(y,z)) * (K(z,y) / x). (x * K(y,z)) * (K(z,y) / x) = K(x,x \ 1). (((x \ K(x,y)) \ a(z,(x \ K(x,y)) \ 1,x \ K(x,y))) * K(x,y)) * (x \ 1) = K(x,x \ 1) * a(z,(x \ K(x,y)) \ 1,x \ K(x,y)). (((x \ K(x,y)) \ a(z,(x \ K(x,y)) \ 1,x \ K(x,y))) * K(x,y)) * (x \ 1) = K(x,x \ 1) * a(z,K(y,x) * x,x \ K(x,y)). (((x \ K(x,y)) \ a(z,(x \ K(x,y)) \ 1,x \ K(x,y))) * K(x,y)) * (x \ 1) = K(x,x \ 1) * a(z,T(x,y \ x),x \ K(x,y)). K(x,x \ 1) * ((K(y,z) / x) \ u) = u * T(u \ (1 * ((K(y,z) / x) \ u)),K(y,z) / x). K(x,x \ 1) * ((K(y,z) / x) \ u) = u * T(u \ ((K(y,z) / x) \ u),K(y,z) / x). K(x,x \ 1) * ((K(y,z) / x) \ u) = u * T(u \ ((K(y,z) / x) \ u),x \ K(y,z)). x != y * T(y \ ((K(z,u) / w) \ y),v5) | x = (1 / T(w * K(u,z),v5)) \ y. K(x,x \ 1) * ((K(y,z) / x) \ u) = (1 / T(x * K(z,y),x \ K(y,z))) \ u. (1 / T(x * K(y,z),x \ K(z,y))) \ u = K(x,x \ 1) * ((K(z,y) / x) \ u). (1 / ((x \ 1) \ K(y,z))) \ u = K(x,x \ 1) * ((K(z,y) / x) \ u). K(x,x \ 1) * ((K(y,z) / x) \ u) = (1 / ((x \ 1) \ K(z,y))) \ u. K(x,x \ 1) * ((K(y,z) / x) \ u) = (K(y,z) * (x \ 1)) \ u. (x \ 1) * ((K(y,z) * (x \ 1)) \ u) = (1 / x) * ((K(y,z) / x) \ u). x \ L(x * y,x \ 1,K(z,u)) = K(z,u) * ((1 / x) * ((K(z,u) / x) \ y)). x != T(y,z / (u \ K(w,v5))) | x = T(y,(z * K(v5,w)) * u). T(x,y / (1 / (K(z,u) * w))) = T(x,(y * K(z,u)) * w). x != T(y,z / (1 / u)) | x = T(y,z * u). T(x,(y * K(z,u)) * w) = T(x,y * (K(z,u) * w)). x != T(y,(z * K(u,w)) * v5) | x = T(y,(K(u,w) * z) * v5). T(x,y * (K(z,u) * w)) = T(x,(K(z,u) * y) * w). T(x,(K(y,z) * u) * w) = T(x,u * (K(y,z) * w)). T(T(x * K(y,x),z * (K(u * w,v5) * y)),y) = T(x,(z * K(w \ u,v5)) * y). T(x,y * (K(z * u,w) * v5)) = T(x,(y * K(u \ z,w)) * v5). T(x,(y * K(z \ u,w)) * v5) = T(x,y * (K(u * z,w) * v5)). x != T(y,(z * K(u,w)) * v5) | x = T(y,z * (K(u,w) * v5)). T(x,y * (K(z * u,w) * v5)) = T(x,y * (K(u \ z,w) * v5)). T(x,y * (K(z \ u,w) * v5)) = T(x,y * (K(u * z,w) * v5)). T(K(x,y * (K(z \ u,w) * v5)),(v6 * (1 / x)) \ v6) = ((v6 * (1 / x)) \ v6) \ T((v6 * (1 / x)) \ v6,y * (K(u * z,w) * v5)). ((x * (1 / y)) \ x) \ T((x * (1 / y)) \ x,z * (K(u * w,v5) * v6)) = T(K(y,z * (K(w \ u,v5) * v6)),(x * (1 / y)) \ x). ((x * (1 / y)) \ x) \ T((x * (1 / y)) \ x,z * (K(u * w,v5) * v6)) = T(K(y,z * (K(w \ u,v5) * v6)),(1 / y) \ 1). ((x * (1 / y)) \ x) \ T((x * (1 / y)) \ x,z * (K(u * w,v5) * v6)) = T(K(y,z * (K(w \ u,v5) * v6)),y). ((x * (1 / y)) \ x) \ T((x * (1 / y)) \ x,z * (K(u * w,v5) * v6)) = K(y,z * (K(w \ u,v5) * v6)). K((x * (1 / y)) \ x,z * (K(u * w,v5) * v6)) = K(y,z * (K(w \ u,v5) * v6)). K((1 / x) \ 1,y * (K(z * u,w) * v5)) = K(x,y * (K(u \ z,w) * v5)). K(x,y * (K(z * u,w) * v5)) = K(x,y * (K(u \ z,w) * v5)). K(x,y * (K(z \ u,w) * v5)) = K(x,y * (K(u * z,w) * v5)). K(x,y * (z / T(u,w \ v5))) = K(x,y * (K(v5 * w,u) * (z / u))). K(x,y * (K(z * u,w) * (v5 / w))) = K(x,y * (v5 / T(w,u \ z))). K(x,y * (z / T(u,w \ v5))) != v6 | K(x,y * (z / T(u,v5 * w))) = v6. K(x,y * ((z \ u) / T(w,u * z))) = K(x,y * (w \ (z \ u))). K(x,y * ((T(1 / (z / u),z) \ 1) / T(w,1 * T(1 / (z / u),z)))) = K(x,y * (w \ (T(z,z \ u) / u))). K(x,y * ((T(1 / (z / u),z) \ 1) / T(w,T(1 / (z / u),z)))) = K(x,y * (w \ (T(z,z \ u) / u))). K(x,y * ((T(1 / (z / u),z) \ 1) / T(w,T((z / u) \ 1,z)))) = K(x,y * (w \ (T(z,z \ u) / u))). K(x,y * ((T(1 / (z / u),z) \ 1) / T(w,z \ u))) = K(x,y * (w \ (T(z,z \ u) / u))). K(x,y * ((T(1 / (z / u),z) \ 1) / T(w,u * z))) = K(x,y * (w \ (T(z,z \ u) / u))). T(x,(y \ K(z,u)) \ w) = T(x,y * (K(u,z) * w)). K(x,T(y,z * (K(u,w) * (T(v5,z) \ v6)))) = K(x,T(y,v5 \ ((z \ K(u,w)) \ v6))). K(x,T(y,z * (T(u,z) \ w))) = K(x,T(y,u \ ((z \ K(v5,v6)) \ w))). K(x,T(y,z \ ((u \ K(w,v5)) \ v6))) = K(x,T(y,u * (T(z,u) \ v6))). x != K(y,T(z,u * (T(w,v5) \ v6))) | x = K(y,T(z,u * (w \ v6))). K(x,T(y,z \ ((u \ K(w,v5)) \ v6))) = K(x,T(y,u * (z \ v6))). K(x,T(y,z \ (u * (w \ K(v5,v6))))) = K(x,T(y,w * (u \ z))). K(x,T(y,z * (u * (w \ K(v5,v6))))) = K(x,T(y,w * (u \ z))). K(x,T(y,z \ (u * w))) = K(x,T(y,z * (w \ u))). K(x,T(y,z * (u * w))) = K(x,T(y,z * (w \ u))). K(x,T(y,z * (u \ w))) = K(x,T(y,z * (w * u))). K(x,T(y,z * (u / w))) = K(x,T(y,z * (u * w))). x != K(y,T((z * (u \ 1)) * w,(z * u) * (z / u))) | x = K(y,((z / u) * w) / ((z * (u \ 1)) \ ((z / u) * 1))). K(x,T((y * (z \ 1)) * u,(y * z) * (y * z))) = K(x,((y / z) * u) / ((y * (z \ 1)) \ ((y / z) * 1))). K(x,((y / z) * u) / ((y * (z \ 1)) \ ((y / z) * 1))) = K(x,T((y * (z \ 1)) * u,(y * z) * (y * z))). x != K(y,T(z,u * u)) | x = K(y,z). K(x,((y / z) * u) / ((y * (z \ 1)) \ ((y / z) * 1))) = K(x,(y * (z \ 1)) * u). K(x,((y / z) * u) / ((y * (z \ 1)) \ (y / z))) = K(x,(y * (z \ 1)) * u). (x * (K(y,z) * u)) * (u \ K(z,y)) = R(x,K(y,z) * u,u \ K(z,y)). R(x,K(y,z) * z,z \ K(z,y)) = ((x * (K(y,z) * z)) * K(z,y)) * (z \ 1). ((x * (K(y,z) * z)) * K(z,y)) * (z \ 1) = R(x,K(y,z) * z,z \ K(z,y)). ((x * (y * K(z,y))) * K(y,z)) * (y \ 1) = R(x,K(z,y) * y,y \ K(y,z)). (x * (T(y,z) * K(z,y))) * (y \ 1) = R(x,K(z,y) * y,y \ K(y,z)). R(x,K(y,z) * z,z \ K(z,y)) = (x * (T(z,y) * K(y,z))) * (z \ 1). R(x,K(y,z) * z,z \ K(z,y)) = (x * z) * (z \ 1). R(x,K(y,z) * z,z \ K(z,y)) = R(x,z,z \ 1). R(x,y * K(z,y),y \ K(y,z)) = R(x,y,y \ 1). a(x,y * K(z,y),(y * K(z,y)) \ 1) = x \ R(x,y,y \ 1). a(x,y * K(z,y),(y * K(z,y)) \ 1) = a(x,y,y \ 1). a(x,y * K(z,y),y \ K(y,z)) = a(x,y,y \ 1). x != a(y,z * K(u,z),w) | x = a(y,T(z,u \ z),w). a(x,y,y \ 1) = a(x,T(y,z \ y),y \ K(y,z)). a(x,T(y,z \ y),y \ K(y,z)) = a(x,y,y \ 1). (((x \ K(x,y)) \ a(z,(x \ K(x,y)) \ 1,x \ K(x,y))) * K(x,y)) * (x \ 1) = K(x,x \ 1) * a(z,x,x \ 1). x != K(y,y \ 1) * a(z,y,y \ 1) | x = y * (a(z,y,y \ 1) / y). (((x \ K(x,y)) \ a(z,(x \ K(x,y)) \ 1,x \ K(x,y))) * K(x,y)) * (x \ 1) = x * (a(z,x,x \ 1) / x). (((x \ K(x,y)) \ a(z,K(y,x) * x,x \ K(x,y))) * K(x,y)) * (x \ 1) = x * (a(z,x,x \ 1) / x). (((x \ K(x,y)) \ a(z,T(x,y \ x),x \ K(x,y))) * K(x,y)) * (x \ 1) = x * (a(z,x,x \ 1) / x). (((x \ K(x,y)) \ a(z,x,x \ 1)) * K(x,y)) * (x \ 1) = x * (a(z,x,x \ 1) / x). ((x \ 1) \ a(y,x,x \ 1)) * (x \ 1) = x * (a(y,x,x \ 1) / x). x \ T(x * (a(y,(x \ 1) \ 1,x \ 1) / (1 / (x \ 1))),z) = (x \ 1) * T(x * (a(y,x,x \ 1) / x),z). x \ T(x * (a(y,(x \ 1) \ 1,x \ 1) / (1 / (x \ 1))),z) = (x \ 1) * (x * (a(y,x,x \ 1) / x)). x != (y \ 1) * (y * (a(z,y,y \ 1) / y)) | x = (1 / y) * a(z,y,y \ 1). x \ T(x * (a(y,(x \ 1) \ 1,x \ 1) / (1 / (x \ 1))),z) = (1 / x) * a(y,x,x \ 1). x \ T(x * (a(y,x,x \ 1) / (1 / (x \ 1))),z) = (1 / x) * a(y,x,x \ 1). x \ T(x * (a(y,x,x \ 1) / x),z) = (1 / x) * a(y,x,x \ 1). x \ (x * (a(y,x,x \ 1) / x)) = (1 / x) * a(y,x,x \ 1). a(x,y,y \ 1) / y = (1 / y) * a(x,y,y \ 1). (1 / x) * a(y,x,x \ 1) = a(y,x,x \ 1) / x. (a(x,y,y \ 1) / y) * y = (1 / y) * (y * a(x,y,y \ 1)). (1 / x) * (x * a(y,x,x \ 1)) = (a(y,x,x \ 1) / x) * x. x * y != (z / u) * u | x \ z = y. (1 / x) \ a(y,x,x \ 1) = x * a(y,x,x \ 1). x != (1 / y) \ a(z,y,y \ 1) | x = a(z,y,y \ 1) / (y \ 1). x * a(y,x,x \ 1) = a(y,x,x \ 1) / (x \ 1). a(x,y,y \ 1) / (y \ 1) = y * a(x,y,y \ 1). K(x,((y * a(z,y,y \ 1)) \ u) \ w) = K(x,(((y \ 1) \ a(z,y,y \ 1)) \ u) \ w). K(x,(((y \ 1) \ a(z,y,y \ 1)) \ u) \ w) = K(x,((y * a(z,y,y \ 1)) \ u) \ w). x != K(y,((z * a(u,z,z \ 1)) \ w) \ v5) | x = K(y,a(u,z,z \ 1) * ((z \ w) \ v5)). K(x,(((y \ 1) \ a(z,y,y \ 1)) \ u) \ w) = K(x,a(z,y,y \ 1) * ((y \ u) \ w)). K(x,y / (z * u)) * a(u,y,K(x,z \ y)) = K(x,(y * L(u \ 1,u,z)) / z). x != K(y,z / (u * w)) * a(w,z,K(y,u \ z)) | x = K(y,(z / w) / u). K(x,(y * L(z \ 1,z,u)) / u) = K(x,(y / z) / u). x != K(y,(z * L(u \ 1,u,w)) / w) | x = K(y,L(z / (w * u),z,z \ w)). K(x,(y / z) / u) = K(x,L(y / (u * z),y,y \ u)). K(x,L(y / (z * u),y,y \ z)) = K(x,(y / u) / z). K(x,L((y * z) / (y * u),y,z \ 1)) = K(x,((y * z) / u) / y). K(x,((y * z) / u) / y) != w | K(x,y / ((y * u) / z)) = w. K(x,y / ((y * L(z,u,z)) / w)) = K(x,((y * w) / z) / y). K(x,y / ((y * L(z,u,z)) / w)) != v5 | K(x,y / ((y * z) / w)) = v5. K(x,y / ((y * z) / (u * z))) = K(x,y \ (((u * z) / u) \ ((u * z) * y))). K(x,y \ (((z * u) / z) \ ((z * u) * y))) = K(x,y / ((y * u) / (z * u))). K(x,y \ (z \ ((z * u) * y))) = K(x,y / ((y * z) / (u * z))). K(x,y / ((y * z) / (u * z))) = K(x,y \ (z \ ((z * u) * y))). x * ((x \ y) / z) = (y / (y / x)) * ((y / x) / z). (x / (x / y)) * ((x / y) / z) = y * ((y \ x) / z). (x / (x / y)) \ (y * ((y \ x) / z)) = (x / y) / z. K(x,x \ y) * ((x \ y) / z) = (y / x) / z. K(x,x \ (x * y)) * ((x \ (x * y)) / z) = (y * K(x,y)) / z. K(x,(y / z) / u) = K(x,T(z \ y,z) / u). K(x,T(y \ z,y) / u) = K(x,(z / y) / u). K(x,y) * ((x \ (x * y)) / z) = (y * K(x,y)) / z. K(x,y) * (y / z) = (y * K(x,y)) / z. (x * K(y,x)) / z = K(y,x) * (x / z). K(x,L(K(y,z) * (z / (u / w)),z * K(y,z),(z * K(y,z)) \ u)) = K(x,(z * (K(y,z) * w)) / u). K(x,L(K(y,z) * (z / u),w,v5)) = K(x,L(T(z,y) / u,w,v5)). K(x,L(K(y,z) * (z / (u / w)),z * K(y,z),K(z,y) * (z \ u))) = K(x,(z * (K(y,z) * w)) / u). K(x,(y * (K(z,y) * u)) / w) = K(x,L(K(z,y) * (y / (w / u)),y * K(z,y),y \ w)). K(x,L(K(y,z) * (z / (u / w)),z * K(y,z),z \ u)) = K(x,(z * (K(y,z) * w)) / u). K(x,L(K(y,z) * (z / (u / w)),z,z \ u)) = K(x,(z * (K(y,z) * w)) / u). x != K(y,L(K(z,u) * (u / (w / v5)),u,u \ w)) | x = K(y,(u * (K(z,u) * v5)) / w). K(x,L(T(y,z) / (u / w),y,y \ u)) = K(x,(y * (K(z,y) * w)) / u). x != K(y,L(T(z,u) / (w / v5),z,z \ w)) | x = K(y,(T(z,u) * v5) / w). K(x,(y * (K(z,y) * u)) / w) = K(x,(T(y,z) * u) / w). K(x,(y * z) * (u \ K(w,y))) = K(x,(T(y,w) * z) / u). x != K(y,(z * u) * (w \ K(v5,z))) | x = K(y,((v5 * (z / v5)) * u) / w). K(x,(T(y,z) * u) / w) = K(x,((z * (y / z)) * u) / w). K(x,((y * (z / y)) * u) / w) = K(x,(T(z,y) * u) / w). x != K(y,((z * ((z * u) / z)) * w) / T(z,u)) | x = K(y,T(z,u) / ((T(z,u) / w) / u)). K(x,(T(y * z,y) * u) / T(y,z)) = K(x,T(y,z) / ((T(y,z) / u) / z)). K(x,T(y,z) / ((T(y,z) / u) / z)) = K(x,(T(y * z,y) * u) / T(y,z)). K(x,((y * z) * u) / w) = K(x,(T(z * y,y) * u) / w). K(x,(T(y * z,z) * u) / w) = K(x,((z * y) * u) / w). x != K(y,T(z,u) / ((T(z,u) / w) / v5)) | x = K(y,z / ((z / w) / v5)). K(x,(T(y * z,y) * u) / T(y,z)) = K(x,y / ((y / u) / z)). K(x,K(y,z) * (((z * y) * u) / w)) = K(x,((y * z) * u) / w). x != K(y,K(z,u) * (((u * z) * w) / v5)) | x = K(y,(T(u * z,u) * w) / v5). K(x,((y * z) * u) / w) = K(x,(T(z * y,z) * u) / w). K(x,(T(y * z,y) * u) / w) = K(x,((z * y) * u) / w). x != K(y,(T(z * u,z) * w) / T(z,u)) | x = K(y,z / ((z / w) / u)). K(x,((y * z) * u) / T(z,y)) = K(x,z / ((z / u) / y)). K(x,T(y,z * u) / T(u,z)) = K(x,u / ((u / (y / (z * u))) / z)). K(x,y / ((y / (z / (u * y))) / u)) = K(x,T(z,u * y) / T(y,u)). K(x,((y / z) * (u / (y / z))) / T(1 / z,y)) = K(x,(1 / z) / (((1 / z) / (u / (y * (1 / z)))) / y)). K(x,(1 / y) / (((1 / y) / (z / (u * (1 / y)))) / u)) = K(x,((u / y) * (z / (u / y))) / T(1 / y,u)). x != K(y,z / T(1 / u,w)) | x = K(y,z * T(u,w)). K(x,(1 / y) / (((1 / y) / (z / (u * (1 / y)))) / u)) = K(x,((u / y) * (z / (u / y))) * T(y,u)). x != K(y,(z * (u / z)) * w) | x = K(y,T(u,z) * w). K(x,(1 / y) / (((1 / y) / (z / (u * (1 / y)))) / u)) = K(x,T(z,u / y) * T(y,u)). x != K(y,T(z,u / w) * v5) | x = K(y,T(z,w * u) * v5). K(x,(1 / y) / (((1 / y) / (z / (u * (1 / y)))) / u)) = K(x,T(z,y * u) * T(y,u)). R(K(x,y) * (T(y,x) / z),K(y,x),z) / K(y,x) = y / (K(y,x) * z). R(x / y,K(x,z),y) / K(x,z) = x / (K(x,z) * y). L(x / y,K(x,z),y) / K(x,z) = x / (K(x,z) * y). (T(T(x,y),x \ z) * u) \ T((x \ z) \ z,y) != w | (x * u) \ x = w. (x * y) \ x = (((x \ z) \ z) * y) \ ((x \ z) \ z). (((x \ y) \ y) * z) \ ((x \ y) \ y) = (x * z) \ x. K(x,((((y * z) \ y) \ ((y \ u) \ u)) \ w) \ v5) = K(x,(T(((y \ u) \ u) * z,(y \ u) \ u) \ w) \ v5). K(x,(T(((y \ z) \ z) * u,(y \ z) \ z) \ w) \ v5) = K(x,((((y * u) \ y) \ ((y \ z) \ z)) \ w) \ v5). K(x,(T(((y \ z) \ z) * u,T(y,z)) \ w) \ v5) = K(x,((((y * u) \ y) \ ((y \ z) \ z)) \ w) \ v5). x != K(y,(T(z,T(u,w)) \ v5) \ v6) | x = K(y,(T(z,u) \ v5) \ v6). K(x,((((y * z) \ y) \ ((y \ u) \ u)) \ w) \ v5) = K(x,(T(((y \ u) \ u) * z,y) \ w) \ v5). K(x,(((y * z) \ y) \ ((y \ u) \ u)) * w) = K(x,(T(((y \ u) \ u) * z,y) \ 1) \ w). K(x,(T(((y \ z) \ z) * u,y) \ 1) \ w) = K(x,(((y * u) \ y) \ ((y \ z) \ z)) * w). K(x,((((y \ z) \ z) / ((y * u) \ y)) \ K((y * u) \ y,((y * u) \ y) \ ((y \ z) \ z))) \ w) = K(x,(T(((y \ z) \ z) * u,y) \ 1) \ w). K(x,((K(y,y \ z) * (y * u)) \ K((y * u) \ y,((y * u) \ y) \ ((y \ z) \ z))) \ w) = K(x,(T(((y \ z) \ z) * u,y) \ 1) \ w). K(x,((T(y,y \ z) * u) \ K((y * u) \ y,((y * u) \ y) \ ((y \ z) \ z))) \ w) = K(x,(T(((y \ z) \ z) * u,y) \ 1) \ w). K(x,((T(y,y \ z) * u) \ K((y * u) \ y,((y * u) \ y) \ T(y,z))) \ w) = K(x,(T(((y \ z) \ z) * u,y) \ 1) \ w). K(x,((T(y,y \ z) * u) \ K((y * u) \ y,T(((y * u) \ y) \ y,z))) \ w) = K(x,(T(((y \ z) \ z) * u,y) \ 1) \ w). K(x,((T(y,y \ z) * u) \ K((y * u) \ y,T(T(y * u,z),y))) \ w) = K(x,(T(((y \ z) \ z) * u,y) \ 1) \ w). K(x,((T(y,y \ z) * u) \ K((y * u) \ y,T(u * y,z))) \ w) = K(x,(T(((y \ z) \ z) * u,y) \ 1) \ w). K(x,((T(y,y \ z) * u) \ K(u \ 1,T(u * y,z))) \ w) = K(x,(T(((y \ z) \ z) * u,y) \ 1) \ w). K(x,(T(y,y \ z) * u) * (w * K(T(u * y,z),u \ 1))) = K(x,(T(((y \ z) \ z) * u,y) \ 1) \ w). K(x,(T(y,y \ z) * u) * (w * K(u * y,T(u \ 1,z)))) = K(x,(T(((y \ z) \ z) * u,y) \ 1) \ w). K(x,(T(y,y \ z) * u) * (w * K(u * y,u \ 1))) = K(x,(T(((y \ z) \ z) * u,y) \ 1) \ w). K(x,(T(((y \ z) \ z) * u,y) \ 1) \ w) = K(x,(T(y,y \ z) * u) * (w * K(u * y,u \ 1))). x != K(y,z * (u * K(w,v5 \ 1))) | x = K(y,z * (u * K(w,v5))). K(x,(T(((y \ z) \ z) * u,y) \ 1) \ w) = K(x,(T(y,y \ z) * u) * (w * K(u * y,u))). K(x,(T(((y \ z) \ z) * u,y) \ 1) \ w) = K(x,(T(y,y \ z) * u) * (w * K(y * u,u))). x != K(y,z * (u * K(w * v5,v5))) | x = K(y,z * (u * K(w,v5))). K(x,(T(((y \ z) \ z) * u,y) \ 1) \ w) = K(x,(T(y,y \ z) * u) * (w * K(y,u))). x != K(y,(T(z,u) * w) * (v5 * K(z,v6))) | x = K(y,(T(T(z,v6),u) * w) * v5). K(x,(T(((y \ z) \ z) * u,y) \ 1) \ w) = K(x,(T(T(y,u),y \ z) * u) * w). x != K(y,(T(T(z,u),w) * u) * v5) | x = K(y,(u * T(z,w)) * v5). K(x,(T(((y \ z) \ z) * u,y) \ 1) \ w) = K(x,(u * T(y,y \ z)) * w). K(x,((((y \ z) \ z) * u) \ K(y,((y \ z) \ z) * u)) \ w) = K(x,(((y * u) \ y) \ ((y \ z) \ z)) * w). K(x,((((y \ z) \ z) * u) \ K(y,T(y,z) * u)) \ w) = K(x,(((y * u) \ y) \ ((y \ z) \ z)) * w). K(x,((((y \ z) \ z) * u) \ K(y,y * u)) \ w) = K(x,(((y * u) \ y) \ ((y \ z) \ z)) * w). x != K(y,(z \ K(u,u * w)) \ v5) | x = K(y,z * (v5 * K(u,w))). K(x,(((y * z) \ y) \ ((y \ u) \ u)) * w) = K(x,(((y \ u) \ u) * z) * (w * K(y,z))). x != K(y,(((z \ u) \ u) * w) * v5) | x = K(y,(T(z,u) * w) * v5). K(x,(((y * z) \ y) \ ((y \ u) \ u)) * w) = K(x,(T(y,u) * z) * (w * K(y,z))). K(x,(((y * z) \ y) \ ((y \ u) \ u)) * w) = K(x,(T(T(y,z),u) * z) * w). K(x,(((y * z) \ y) \ ((y \ u) \ u)) * w) = K(x,(z * T(y,u)) * w). x != K(y,(((z * u) \ z) \ ((z \ w) \ w)) * v5) | x = K(y,(T(((z \ w) \ w) * u,z) \ 1) \ v5). K(x,(y * T(z,u)) * w) = K(x,(T(((z \ u) \ u) * y,z) \ 1) \ w). K(x,(T(((y \ z) \ z) * u,y) \ 1) \ w) = K(x,(u * T(y,z)) * w). x != K(y,(T(((z \ u) \ u) * w,z) \ 1) \ v5) | x = K(y,(w * T(z,z \ u)) * v5). K(x,(y * T(z,u)) * w) = K(x,(y * T(z,z \ u)) * w). K(x,(y * T(z,z \ u)) * w) = K(x,(y * T(z,u)) * w). K(x,(K(y,T(z,z \ u)) * w) * T(T(z,z \ u) * y,w)) = K(x,(y * T(z,u)) * w). K(x,(K(y,T(z,u)) * w) * T(T(z,z \ u) * y,w)) = K(x,(y * T(z,u)) * w). K(x,y * (T(T(z,z \ u) * w,y) * K(w,T(z,u)))) = K(x,(w * T(z,u)) * y). K(x,y * (T(T(z,z \ u) * w,y) * K(w,z))) = K(x,(w * T(z,u)) * y). x != K(y,z * (T(u,w) * K(v5,v6))) | x = K(y,z * T(u * K(v5,v6),w)). K(x,(y * T(z,u)) * w) = K(x,w * T((T(z,z \ u) * y) * K(y,z),w)). K(x,y * T((T(z,z \ u) * w) * K(w,z),y)) = K(x,(w * T(z,u)) * y). K(x,y * T(T(z,z \ u) * T(w,z),y)) = K(x,(w * T(z,u)) * y). K(x,y * T(K(z,z \ u) * (w * z),y)) = K(x,(w * T(z,u)) * y). K(x,(K(y,y \ z) * (u * y)) * w) = K(x,(u * T(y,z)) * w). K(x,(y * z) * (u * K(z,z \ w))) = K(x,(y * T(z,w)) * u). K(x,(y * T(z,u)) * w) = K(x,(y * z) * (w * K(u,z))). K(x,(y * z) * (u * K(w,z))) = K(x,(y * T(z,w)) * u). K(x,K(y,z) * ((u * z) * w)) = K(x,(u * T(z,y)) * w). K(x,K(y,(z * T(u,w)) * v5) * v6) != v7 | K(x,K((z * u) * v5,y) * v6) = v7. K(x,K((y * z) * u,w) * v5) = K(x,K(w,y * (T(z,v6) \ u)) * v5). K(x,K(y,z * (T(u,w) \ v5)) * v6) = K(x,K((z * u) * v5,y) * v6). K(x,K(y * (z \ u),w) * v5) = K(x,K((y * z) * u,w) * v5). K(x,K((y * z) * u,w) * v5) = K(x,K(y * (z \ u),w) * v5). x != K(y,K(z * (u \ w),v5) * v6) | x = K(y,K(z * (w * u),v5) * v6). 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 \ w) * u,v5) * v6). K(x,K(y * (z * u),w) * v5) = K(x,K((y \ z) * u,w) * v5). K(x,K((y \ z) * u,w) * v5) = K(x,K(y * (z * u),w) * v5). K(x,K(((y * z) \ y) * (u * w),v5) * v6) * K(x,K(v6,K(v5,(((y * z) \ y) * w) * u))) = K(x,v6 / (K(v5,u * (((y * z) \ y) * w)) * (K(v5,K(u,z * w)) \ 1))). K(x,K(y,z * (u \ w)) * v5) = K(x,K(u * (w * z),y) * v5). K(x,K(y * (z * u),w) * v5) = K(x,K(w,u * (y \ z)) * v5). K(x,K((y * z) * (y * (u * w)),v5) * v6) * K(x,K(v6,K(v5,(((y * z) \ y) * w) * u))) = K(x,v6 / (K(v5,u * (((y * z) \ y) * w)) * (K(v5,K(u,z * w)) \ 1))). K(x,y * K(z,u * (w * v5))) * K(x,K(y,K(z,(((v6 * u) \ v6) * v5) * w))) = K(x,y / (K(z,w * (((v6 * u) \ v6) * v5)) * (K(z,K(w,u * v5)) \ 1))). K(x,y * K(z,u * (w * v5))) * 1 = K(x,y / (K(z,w * (((v6 * u) \ v6) * v5)) * (K(z,K(w,u * v5)) \ 1))). K(x,y / (K(z,u * (((w * v5) \ w) * v6)) * (K(z,K(u,v5 * v6)) \ 1))) = K(x,y * K(z,v5 * (u * v6))) * 1. K(x,y / (K(z,u * (((w * v5) \ w) * v6)) * (K(z,K(u,v5 * v6)) \ 1))) = K(x,y * K(z,v5 * (u * v6))). K(x,y / (K(z,u * (((w * v5) \ w) * v6)) * (K(z,K(u,v5 * v6)) * 1))) = K(x,y * K(z,v5 * (u * v6))). K(x,y / (K(z,u * (((w * v5) \ w) * v6)) * K(z,K(u,v5 * v6)))) = K(x,y * K(z,v5 * (u * v6))). K(x,y / K(z,(((u * w) \ u) * v5) * v6)) = K(x,y * K(z,w * (v6 * v5))). K(x,y * K((((z * u) \ z) * w) * v5,v6)) = K(x,y * K(v6,u * (v5 * w))). x != K(y,z * K((u * w) * v5,v6)) | x = K(y,z * K(u * (w \ v5),v6)). K(x,y * K(z,u * (w * v5))) = K(x,y * K(((v6 * u) \ v6) * (v5 \ w),z)). K(x,y * K(((z * u) \ z) * (w \ v5),v6)) = K(x,y * K(v6,u * (v5 * w))). x != K(y,K((z * u) * (z * w),v5) * v6) | x = K(y,v6 * K(v5,u * w)). K(x,K(y,z * ((u * w) \ u)) * v5) = K(x,v5 * K(y,w * z)). K(x,y * K((z / (u * z)) \ w,v5)) = K(x,y * K(v5,u * w)). K(x,y * K(((z * u) \ z) \ w,v5)) = K(x,y * K(v5,u * w)). x != K(y,z * K(u \ w,v5)) | x = K(y,z * K(u * w,v5)). K(x,y * K(z,u * w)) = K(x,y * K(((v5 * u) \ v5) * w,z)). K(x,y * K(((z * u) \ z) * w,v5)) = K(x,y * K(v5,u * w)). x != K(y,z * K(((u * w) \ u) * (v5 \ v6),v7)) | x = K(y,z * K(v7,w * (v6 * v5))). K(x,y * K(z,u * (w \ v5))) = K(x,y * K(z,u * (v5 * w))). K(x,(y / T(z,(u * (w \ 1)) \ v5)) * K(v6,K(v7,v8))) = K(x,(y / z) * K(z,w * (v5 * u))). K(x,(y / T(z,(u * (w \ 1)) \ v5)) * K(v6,K(v7,v8))) = K(x,y * (z \ K(z,w * (v5 * u)))). K(x,(y / T(z,(u * (w \ 1)) \ v5)) * K(v6,K(v7,v8))) = K(x,y / T(z,w * (v5 * u))). K(x,y / T(T(z,K(u,w)),(v5 * (v6 \ 1)) \ v7)) = K(x,y / T(z,v6 * (v7 * v5))). K(x,y / T(z,u / (w * (v5 \ 1)))) = K(x,y / T(z,v5 * (u * w))). K(x,y / T(z,u * (w * (v5 \ 1)))) = K(x,y / T(z,v5 * (u * w))). x != K(y,z / T(u,w * (v5 * (v6 \ 1)))) | x = K(y,z / T(u,v6 * (v5 \ w))). K(x,y / T(z,u * (w * v5))) = K(x,y / T(z,u * (v5 \ w))). K(x,y / T(z,u * (w \ v5))) = K(x,y / T(z,u * (v5 * w))). K(x,y / T(z,u * (w / v5))) = K(x,y / T(z,u * (w * v5))). x != K(y,z / T(u \ 1,w * (T(v5,v6) / v7))) | x = K(y,z * T(u,w * (((v5 \ v6) \ v6) / v7))). K(x,y / T(z \ 1,u * (T(w,v5) * v6))) = K(x,y * T(z,u * (((w \ v5) \ v5) / v6))). x != K(y,z / T(u,w * (T(v5,v6) * v7))) | x = K(y,z / T(u,w * (v5 * v7))). K(x,y * T(z,u * (((w \ v5) \ v5) / v6))) = K(x,y / T(z \ 1,u * (w * v6))). K(x,y * T(z,u * (((w \ v5) \ v5) / v6))) = K(x,y * T(z,u * (w * v6))). K(x,y * T(z,u * (w / v5))) = K(x,y * T(z,u * (w * v5))). L(x / y,K(x,z),y) = x / y. (x / y) / K(x,z) = x / (K(x,z) * y). (x / y) * K(z,x) = x / (K(x,z) * y). x / (K(x,y) * z) = (x / z) * K(y,x). ((x / y) * K(x \ z,x)) * (z / (x / (K(x,x \ z) * y))) = z * K(y \ T(x,z),(z / x) * y). ((x / y) * K(x \ z,x)) * (z / ((x / y) * K(x \ z,x))) = z * K(y \ T(x,z),(z / x) * y). x != (y * K(z,u)) * (w / (y * K(z,u))) | x = y * T(w / T(y,K(z,u)),K(z,u)). x * K(y \ T(z,x),(x / z) * y) = (z / y) * T(x / T(z / y,K(z \ x,z)),K(z \ x,z)). (x / y) * T(z / T(x / y,K(x \ z,x)),K(x \ z,x)) = z * K(y \ T(x,z),(z / x) * y). (x / y) * T(z / T(x / y,K(z,x)),K(x \ z,x)) = z * K(y \ T(x,z),(z / x) * y). (x / y) * T(T(z / (x / y),K(z,x)),K(x \ z,x)) = z * K(y \ T(x,z),(z / x) * y). (x / y) * T(T(z / (x / y),K(z,x)),K(z,x)) = z * K(y \ T(x,z),(z / x) * y). (x / y) * (z / (x / y)) = z * K(y \ T(x,z),(z / x) * y). x * K(y \ T(z,x),(x / z) * y) = (z / y) * (x / (z / y)). x * K(y \ z,y * (x / z)) = (z / y) * (x / (z / y)). 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)). 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,y * ((x * z) \ z)) = K(x,x \ y). x != K(y,z * ((y * u) \ w)) | x = K(y,z * ((u * y) \ w)). 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) \ u)) | x = K(y,z * (u / (w * u))). K(x,x \ y) = K(x,y * (z / (x * z))). K(x,y * (z / (x * z))) = K(x,x \ y). x * K(y,x * ((z * y) \ z)) = y * (x / y). K(x / y,z * (y / x)) = K(x / y,(x / y) \ z). K(x / y,(x / y) \ z) = K(x / y,z * (y / x)). x != K(y / z,(y / z) \ u) | x = K(z \ y,(y \ u) * z). K(x / y,z * (y / x)) = K(y \ x,(x \ z) * y). x != K(y / z,u * (z / y)) | x = K(y / z,(y \ z) * u). K(x \ y,(y \ z) * x) = K(y / x,(y \ x) * z). K(x / y,(x \ y) * z) = K(y \ x,(x \ z) * y). x * K(y / z,(y \ z) * x) = (y / z) * (x / (y / z)). x != y * K(z / u,(z \ u) * y) | x = ((u / z) \ 1) * (y / ((u / z) \ 1)). (x / y) * (z / (x / y)) = ((y / x) \ 1) * (z / ((y / x) \ 1)). ((x / y) \ 1) * (z / ((x / y) \ 1)) = (y / x) * (z / (y / x)). x != y * K(z,y * ((u * z) \ u)) | x = (1 / ((u * z) \ u)) * (y / (L(1 / z,z,u) \ 1)). x * (y / x) = (1 / ((z * x) \ z)) * (y / (L(1 / x,x,z) \ 1)). (1 / ((x * y) \ x)) * (z / (L(1 / y,y,x) \ 1)) = y * (z / y). (1 / (((x / (y * x)) * y) \ y)) * (z / (L(1 / R(y \ 1,y,x),R(y \ 1,y,x),y) \ 1)) = R(y \ 1,y,x) * (z / R(y \ 1,y,x)). (1 / ((x / (y * x)) \ 1)) * (z / (L(1 / R(y \ 1,y,x),R(y \ 1,y,x),y) \ 1)) = R(y \ 1,y,x) * (z / R(y \ 1,y,x)). (x / (y * x)) * (z / (L(1 / R(y \ 1,y,x),R(y \ 1,y,x),y) \ 1)) = R(y \ 1,y,x) * (z / R(y \ 1,y,x)). (x / (y * x)) * (z / (L(R(1 / y,y,x) \ 1,R(y \ 1,y,x),y) \ 1)) = R(y \ 1,y,x) * (z / R(y \ 1,y,x)). (x / (y * x)) * (z / ((1 / (x / (y * x))) \ 1)) = R(y \ 1,y,x) * (z / R(y \ 1,y,x)). R(x \ 1,x,y) * (z / R(x \ 1,x,y)) = (y / (x * y)) * (z / ((1 / (y / (x * y))) \ 1)). R(x \ 1,x,y) * (z / R(x \ 1,x,y)) = (y / (x * y)) * (z / (y / (x * y))). K(x,y) * (L(z,z \ K(x,y),z) \ 1) = K(x,L(y,z \ 1,z)) / z. K(x,y) * z != K(x,L(y,u \ 1,u)) / w | z = 1 / w. L(x,x \ K(y,z),x) \ 1 = 1 / x. 1 / (1 / x) = L(x,x \ K(y,z),x). L(x,x \ K(y,z),x) = 1 / (1 / x). K(x,y) * (1 / (1 / z)) = z * ((z \ 1) * (K(x,y) * z)). x * ((x \ 1) * (K(y,z) * x)) = K(y,z) * (1 / (1 / x)). x != K(y,z) * (1 / u) | x = K(y,z) / u. x * ((x \ 1) * (K(y,z) * x)) = K(y,z) / (1 / x). x * ((x \ K(y,z)) * x) = K(y,z) / (1 / x). x != ((y * z) / R(y,y \ z,y)) * (u / ((y * z) / R(y,y \ z,y))) | x = ((y \ z) * y) * (u / T((y \ z) * T(y,z),y)). ((x * y) / x) * (z / ((x * y) / x)) = ((x \ y) * x) * (z / T((x \ y) * T(x,y),x)). ((x \ y) * x) * (z / T((x \ y) * T(x,y),x)) = ((x * y) / x) * (z / ((x * y) / x)). x != ((y * z) / y) * (u / ((y * z) / y)) | x = T(z,y) * (u / T(z,y)). ((x \ y) * x) * (z / T((x \ y) * T(x,y),x)) = T(y,x) * (z / T(y,x)). ((x \ y) * x) * (z / ((x \ y) * x)) = T(y,x) * (z / T(y,x)). x != ((y \ (y / z)) * y) * (u / ((y \ (y / z)) * y)) | x = ((y \ (y / z)) * y) * (u / ((y / z) * K(z \ 1,y))). T(x / y,x) * (z / T(x / y,x)) = ((x \ (x / y)) * x) * (z / ((x / y) * K(y \ 1,x))). ((x \ (x / y)) * x) * (z / ((x / y) * K(y \ 1,x))) = T(x / y,x) * (z / T(x / y,x)). K(x,y) \ (z * K(x,x \ y)) = a(x,x \ y,x) * T(z,K(x,y) * a(x,x \ y,x)). a(x,x \ y,x) * T(z,K(x,y) * a(x,x \ y,x)) = K(x,y) \ (z * K(x,x \ y)). a(x,x \ y,x) * T(z,K(x,y) * a(x,x \ y,x)) = K(y,x) * (z * K(x,x \ y)). a(x,x \ y,x) * T(z,K(x,y)) = K(y,x) * (z * K(x,x \ y)). x != a(y,y \ z,y) * T(u,K(y,z)) | x = K(y,y \ z) * (u * K(z,y)). K(x,y) * (z * K(y,y \ x)) = K(y,y \ x) * (z * K(x,y)). K(x,x \ y) * (z * K(y,x)) = K(y,x) * (z * K(x,x \ y)). L(x,y,K(z,u) * (((w \ (K(u \ z,u) * v5)) * w) * K(u,u \ z))) = L(x,y,T(v5 * K(z,u),w)). L(x,y,K(z,u) * (T(w \ v5,K(u,u \ z)) * w)) = L(x,y,T(v5 * K(z,u),w)). L(x,y,K(z,u) * ((w \ v5) * w)) = L(x,y,T(v5 * K(z,u),w)). x != L(y,z,u * ((w \ v5) * w)) | x = L(y,z,u * T(v5,w)). L(x,y,T(z * K(u,w),v5)) = L(x,y,K(u,w) * T(z,v5)). L(x,y,K(z,u) * T(w,v5)) = L(x,y,T(w * K(z,u),v5)). x != L(y \ L(y,K(z,u),w),y,K(z,u) * T(w,v5)) | x = a(y,K(z,u),T(w,v5)). L(x \ L(x,K(y,z),u),x,T(u * K(y,z),w)) = a(x,K(y,z),T(u,w)). x != L(y \ L(y,z,u),y,T(w,v5)) | x = L(y \ L(y,z,u),y,w). a(x,K(y,z),T(u,w)) = L(x \ L(x,K(y,z),u),x,u * K(y,z)). L(x \ L(x,K(y,z),u),x,u * K(y,z)) = a(x,K(y,z),T(u,w)). x != L(y \ L(y,K(z,u),w),y,w * K(z,u)) | x = a(y,K(z,u),w). a(x,K(y,z),T(u,w)) = a(x,K(y,z),u). x * (K(y,K(z \ u,z * w)) * K(w \ z,y * (u / z))) = x * K(w \ z,(u / z) * y). x * (K(y,K(z,y \ u)) * K(z \ y,z * (u / y))) = x * K(z \ y,(u / y) * z). x * (K(y,K(z,u)) * K(u \ y,u * (z / y))) = x * K(u \ y,(z / y) * u). T(x,K(y,z)) * K(z \ y,z * (x / y)) = x * K(z \ y,(x / y) * z). x != T(y,K(z,u)) * K(w,v5) | x = T(y * K(w,v5),K(z,u)). x * K(y \ z,(x / z) * y) = T(x * K(y \ z,y * (x / z)),K(z,y)). T(x * K(y \ z,y * (x / z)),K(z,y)) = x * K(y \ z,(x / z) * y). T((x / y) * (z / (x / y)),K(x,y)) = z * K(y \ x,(z / x) * y). x * (K((y * z) \ x,z * y) * K(z,K(y,z \ (y \ x)))) = ((y * z) \ x) * (y * z). x * (K((y * z) \ x,z * y) * K(y,K(z,z \ (y \ x)))) = ((y * z) \ x) * (y * z). x * (K((y * z) \ x,z * y) * K(y,K(z,y \ x))) = ((y * z) \ x) * (y * z). x * (K((y * z) \ x,z * y) * K(y,K(x,z))) = ((y * z) \ x) * (y * z). T(x,K(y,z)) * K((y * z) \ x,z * y) = ((y * z) \ x) * (y * z). ((x * y) \ z) * (x * y) = T(z * K((x * y) \ z,y * x),K(x,y)). T(x * K((y * z) \ x,z * y),K(y,z)) = ((y * z) \ x) * (y * z). T(x * K(y \ (z \ x),y * z),K(z,y)) = ((z * y) \ x) * (z * y). T(((x * y) \ z) * (x * y),K(y,x)) = ((y * x) \ z) * (y * x). ((x * K(y,z)) \ u) * (x * K(y,z)) != w | w = ((K(y,z) * x) \ u) * (K(y,z) * x). ((x * K(y,z)) \ u) * (x * K(y,z)) != w | ((K(y,z) * x) \ u) * (K(y,z) * x) = w. ((K(x,y) * z) \ u) * (K(x,y) * z) = T(z \ u,K(y,x)) * T(z,K(y,x)). ((K(x,y) * z) \ u) * (K(x,y) * z) = T(z \ u,K(x,y)) * T(z,K(y,x)). ((K(x,y) * z) \ u) * (K(x,y) * z) = T(z \ u,K(x,y)) * T(z,K(x,y)). L(x,y,T((z \ u) \ w,K(z,v5)) * T(z \ u,K(z,v5))) = L(x,y,T(w,T(z,v5) \ u)). L(x,y,T((z \ u) \ w,K(z,v5)) * (z \ u)) = L(x,y,T(w,T(z,v5) \ u)). L(x,y,((z \ u) \ w) * (z \ u)) = L(x,y,T(w,T(z,v5) \ u)). L(x,y,T(z,T(u,w) \ v5)) = L(x,y,((u \ v5) \ z) * (u \ v5)). L(x,y,T(z,T(u,w) \ v5)) = L(x,y,T(z,u \ v5)). x != L(y,z,T(u * K(w,v5),T(v5,w) \ u)) | x = L(y,z,v5 * (u / T(v5,w))). L(x,y,T(z * K(u,w),w \ z)) = L(x,y,w * (z / T(w,u))). x != L(y,z,T(u * K(w,v5),v5 \ u)) | x = L(y,z,T(K(w,v5) * u,v5 \ 1)). L(x,y,z * (u / T(z,w))) = L(x,y,T(K(w,z) * u,z \ 1)). L(x,y,T(K(z,u) * w,u \ 1)) = L(x,y,u * (w / T(u,z))). x != L(y,z,T(K(u,w) * v5,w \ 1)) | x = L(y,z,K(u,w) * (v5 * K(v5 * w,w \ 1))). L(x,y,z * (u / T(z,w))) = L(x,y,K(w,z) * (u * K(u * z,z \ 1))). L(x,y,K(z,u) * (w * K(w * u,u \ 1))) = L(x,y,u * (w / T(u,z))). L(x,y,((z \ K(z,u)) \ w) * (z \ 1)) = L(x,y,z * (w / T(z,u))). x != L(y \ L(y,K(z,u),w),y,((u \ K(u,z)) \ w) * (u \ 1)) | x = a(y,K(z,u),((u \ 1) \ w) * (u \ 1)). L(x \ L(x,K(y,z),u),x,z * (u / T(z,y))) = a(x,K(y,z),((z \ 1) \ u) * (z \ 1)). x != a(y,z,(u \ w) * u) | x = a(y,z,T(w,u)). L(x \ L(x,K(y,z),u),x,z * (u / T(z,y))) = a(x,K(y,z),T(u,z \ 1)). x != a(y,K(z,u),T(w,v5)) | x = a(y,K(z,u),w). L(x \ L(x,K(y,z),u),x,z * (u / T(z,y))) = a(x,K(y,z),u). x != K(y,K(z,u)) * ((w \ K(y,u * z)) * v5) | x = (w \ K(y,z * u)) * v5. K(x,y * z) * K(u \ K(x,z * y),u) = (u \ K(x,y * z)) * u. K(x * (y * ((y \ K(z,u * w)) * y)),v5) = K(x * (K(z,w \ u) * y),v5). K(x * (K(y,z * u) / (1 / w)),v5) = K(x * (K(y,u \ z) * w),v5). K(x * (K(y,z * u) / (w \ 1)),v5) = K(x * (K(y,u \ z) * w),v5). K(x * (K(y,z * u) * w),v5) = K(x * (K(y,u \ z) * w),v5). K(x * (K(y,z \ u) * w),v5) = K(x * (K(y,u * z) * w),v5). x / (K(y * (K(z,u * w) * v5),v6) * x) = K(v6,y * (K(z,w \ u) * v5)). K(x,y * (K(z,u * w) * v5)) = K(x,y * (K(z,w \ u) * v5)). K(x,y * (K(z,u \ w) * v5)) = K(x,y * (K(z,w * u) * v5)). x != K(y,z * (K(u,w \ v5) * (w / v6))) | x = K(y,z * ((T(v5 / w,u) \ v5) / v6)). K(x,y * (K(z,u * w) * (w / v5))) = K(x,y * ((T(u / w,z) \ u) / v5)). K(x,y * ((T(z / u,w) \ z) / v5)) = K(x,y * (K(w,z * u) * (u / v5))). x != K(y,((z * u) \ w) * (K(v5,v5 \ u) * v6)) | x = K(y,((z * ((v5 \ u) * v5)) \ w) * v6). K(x,((y * z) \ u) * (K(w,z * w) * v5)) = K(x,((y * ((w \ z) * w)) \ u) * v5). K(x,((y * z) \ u) * (K(w,w * z) * v5)) = K(x,((y * ((w \ z) * w)) \ u) * v5). x != K(y,z * (K(u,u * w) * v5)) | x = K(y,z * (K(u,w) * v5)). K(x,((y * ((z \ u) * z)) \ w) * v5) = K(x,((y * u) \ w) * (K(z,u) * v5)). x != K(y,((z * u) \ w) * (K(v5,u) * v6)) | x = K(y,((z * T(u,v5)) \ w) * v6). K(x,((y * ((z \ u) * z)) \ w) * v5) = K(x,((y * T(u,z)) \ w) * v5). K(x,y * ((z * ((u \ w) * u)) \ v5)) = K(x,((z * T(w,u)) \ v5) * T(y,(z * ((u \ w) * u)) \ v5)). K(x,((y * T(z,u)) \ w) * T(v5,(y * ((u \ z) * u)) \ w)) = K(x,v5 * ((y * ((u \ z) * u)) \ w)). K(x,((y * T(z,u)) \ w) * T(v5,(y * T(z,u)) \ w)) = K(x,v5 * ((y * ((u \ z) * u)) \ w)). K(x,y * ((z * T(u,w)) \ v5)) = K(x,y * ((z * ((w \ u) * w)) \ v5)). K(x,y * ((z * ((u \ w) * u)) \ v5)) = K(x,y * ((z * T(w,u)) \ v5)). x != K(y,z * ((u * ((w \ v5) * w)) \ v6)) | x = K(y,z * (((u * v5) \ v6) * K(v5,w))). K(x,y * ((z * T(u,w)) \ v5)) = K(x,y * (((z * u) \ v5) * K(u,w))). K(x,y * (((z * u) \ w) * K(u,v5))) = K(x,y * ((z * T(u,v5)) \ w)). x != K(y,z * (((u * w) \ v5) * K(w,v6))) | x = K(y,z * ((u * ((v6 * w) / v6)) \ v5)). K(x,y * ((z * T(u,w)) \ v5)) = K(x,y * ((z * ((w * u) / w)) \ v5)). K(x,y * ((z * ((u * w) / u)) \ v5)) = K(x,y * ((z * T(w,u)) \ v5)). K(x,K(y,z * (u * w))) * K(x,y * ((z * T(u,v5)) \ w)) = K(x,((z * ((v5 * u) / v5)) \ w) * y). K(x,((y * ((z * u) / z)) \ w) * v5) = K(x,K(v5,y * (u * w))) * K(x,v5 * ((y * T(u,z)) \ w)). x != K(y,K(z,u * (w * v5))) * K(y,z * ((u * T(w,v6)) \ v5)) | x = K(y,((u * T(w,v6)) \ v5) * z). K(x,((y * ((z * u) / z)) \ w) * v5) = K(x,((y * T(u,z)) \ w) * v5). K(x,((y * ((y * z) / R(y,u,y))) \ w) * v5) = K(x,((L(y,u,y) * T(z,y)) \ w) * v5). K(x,(T(y * z,y) \ u) * w) = K(x,((L(y,v5,y) * T(z,y)) \ u) * w). K(x,((L(y,z,y) * T(u,y)) \ w) * v5) = K(x,(T(y * u,y) \ w) * v5). x != K(y,(T(z * u,z) \ w) * v5) | x = K(y,((u * z) \ w) * v5). K(x,((L(y,z,y) * T(u,y)) \ w) * v5) = K(x,((u * y) \ w) * v5). K(x,((y * L(z,u,z)) \ w) * v5) = K(x,((y * z) \ w) * v5). K(x,((y * L(z / y,u,z / y)) \ y) * w) = K(x,(z \ (z / (z / y))) * w). K(x,((y * L(z / y,u,y \ z)) \ y) * w) = K(x,(z \ (z / (z / y))) * w). x != K(y,(z \ (u / (u / w))) * v5) | x = K(y,(z \ T(w,u)) * v5). K(x,((y * L(z / y,u,y \ z)) \ y) * w) = K(x,(z \ T(y,z)) * w). K(x,((y * L(z / y,u,y \ z)) \ y) * w) = K(x,(y / z) * w). K(x,y * ((T(1 / z,u) \ 1) / w)) = K(x,y * (K(u,z) * (z / w))). x != K(y,z * (K(u,w) * (w / v5))) | x = K(y,z * (T(w,u) / v5)). K(x,y * ((T(1 / z,u) \ 1) / w)) = K(x,y * (T(z,u) / w)). x != K(y,z * ((T(1 / (u / w),u) \ 1) / T(v5,w * u))) | x = K(y,z * (v5 \ (T(u,u \ w) / w))). K(x,y * (T(z / u,z) / T(w,u * z))) = K(x,y * (w \ (T(z,z \ u) / u))). x != K(y,z * (T(u / w,u) / v5)) | x = K(y,z * ((w \ u) / v5)). K(x,y * (z \ (T(u,u \ w) / w))) = K(x,y * ((w \ u) / T(z,w * u))). K(x,y * ((z \ u) / T(w,z * u))) = K(x,y * (w \ (T(u,u \ z) / z))). x != K(y,z * ((u \ w) / T(v5,u * w))) | x = K(y,z * (v5 \ (u \ w))). K(x,y * (z \ (T(u,u \ w) / w))) = K(x,y * (z \ (w \ u))). K(x,((y * (z / y)) * (y \ 1)) \ u) = K(x,T(L(z,y \ 1,y) / y,y) \ u). K(x,T(L(y,z \ 1,z) / z,z) \ u) = K(x,((z * (y / z)) * (z \ 1)) \ u). K(x,(y \ L(z,y \ 1,y)) \ u) = K(x,((y * (z / y)) * (y \ 1)) \ u). K(x,((y * (z / y)) * (y \ 1)) \ u) = K(x,(y \ L(z,y \ 1,y)) \ u). K(x,((y * (z / y)) * (y \ 1)) \ u) = K(x,((y \ 1) * z) \ u). x != K(y,((z * (u / z)) * w) \ v5) | x = K(y,(T(u,z) * w) \ v5). K(x,((y \ 1) * z) \ u) = K(x,(T(z,y) * (y \ 1)) \ u). K(x,(T(y,z) * (z \ 1)) \ u) = K(x,((z \ 1) * y) \ u). x != K(y,(z * ((u \ w) \ 1)) \ (z * T(u,w))) | x = K(y,L(w,u,z)). K(x,(T((y \ z) \ 1,u) * (u \ 1)) \ ((u \ 1) * T(y,z))) = K(x,L(z,y,u \ 1)). K(x,y / ((z / u) \ 1)) = K(x,((z / u) \ 1) \ T(y,z \ u)). K(x,((y / z) \ 1) \ T(u,y \ z)) = K(x,u / ((y / z) \ 1)). K(x,(y / z) * T(u,y \ z)) = K(x,u / ((y / z) \ 1)). K(x,(y / z) * T(u,y \ z)) = K(x,u * (y / z)). K(x,(y / z) * T(u,y * z)) = K(x,u * (y / z)). K(x,T(y \ z,z) \ u) = K(x,(z / y) \ u). x != K(y,T(z \ u,u) \ (z \ w)) | x = K(y,(u * (z \ 1)) \ ((z \ 1) * w)). K(x,(y / z) \ (z \ u)) = K(x,(y * (z \ 1)) \ ((z \ 1) * u)). K(x,(y * (z \ 1)) \ ((z \ 1) * u)) = K(x,(y / z) \ (z \ u)). x != K(y,(T((z \ u) \ 1,w) * (w \ 1)) \ ((w \ 1) * T(z,u))) | x = K(y,L(u,z,w \ 1)). K(x,(T((y \ z) \ 1,u) / u) \ (u \ T(y,z))) = K(x,L(z,y,u \ 1)). K(x,(y \ ((z \ u) \ 1)) \ (y \ T(z,u))) = K(x,L(u,z,y \ 1)). L(((x \ y) \ z) * a(u,w,u),x \ y,x) = (y \ (x * z)) * a(u,w,u). x * y != L(((z \ u) \ w) * a(v5,v6,v5),z \ u,z) | T(x,y) = y \ ((u \ (z * w)) * a(v5,v6,v5)). T((x \ L(x,x \ 1,y)) \ z,a(u,w,u)) = a(u,w,u) \ ((L(x,x \ 1,y) \ (x * z)) * a(u,w,u)). a(x,y,x) \ ((L(z,z \ 1,u) \ (z * w)) * a(x,y,x)) = T((z \ L(z,z \ 1,u)) \ w,a(x,y,x)). a(x,y,x) \ ((L(z,z \ 1,u) \ (z * w)) * a(x,y,x)) = T(w * (L(z,z \ 1,u) \ z),a(x,y,x)). x != T(y,a(z,u,z)) | x = y. a(x,y,x) \ ((L(z,z \ 1,u) \ (z * w)) * a(x,y,x)) = w * (L(z,z \ 1,u) \ z). a(x,y,x) \ ((z * (L(z,z \ 1,u) \ w)) * a(x,y,x)) = w * (L(z,z \ 1,u) \ z). x != a(a(y,z,u),w,v5) \ (v6 * a(a(y,z,u),w,v5)) | x = v6. x * (L(y,y \ 1,z) \ y) = y * (L(y,y \ 1,z) \ x). x != (y \ 1) * z | x = (y \ K(u,z)) * T(z,u). x * (L(y \ 1,(y \ 1) \ 1,z) \ (y \ 1)) = (y \ K(u,L(y \ 1,(y \ 1) \ 1,z) \ x)) * T(L(y \ 1,(y \ 1) \ 1,z) \ x,u). (x \ K(y,L(x \ 1,(x \ 1) \ 1,z) \ u)) * T(L(x \ 1,(x \ 1) \ 1,z) \ u,y) = u * (L(x \ 1,(x \ 1) \ 1,z) \ (x \ 1)). x * (L(y,y \ 1,x) \ y) = y * T(x * (1 / y),y). x * (L(y,y \ 1,x) \ y) = (x * (1 / y)) * y. x * (L(y,y \ 1,x) \ y) = R(x,y \ 1,y). x * y != R(x,z \ 1,z) | y = a(x,z \ 1,z). L(x,x \ 1,y) \ x = a(y,x \ 1,x). R(x,y \ 1,y) \ 1 = x \ (y \ L(y,y \ 1,x)). x \ (y \ L(y,y \ 1,x)) = R(x,y \ 1,y) \ 1. (x * y) * (((z \ L(z,z \ 1,y)) \ L(R(y,z \ 1,z) \ 1,y,x)) * (z \ L(z,z \ 1,y))) = x * ((z \ L(z,z \ 1,y)) * K(y \ 1,z \ L(z,z \ 1,y))). (x * y) * L(R(y,z \ 1,z) \ 1,y,x) = x * ((z \ L(z,z \ 1,y)) * K(y \ 1,z \ L(z,z \ 1,y))). x * (y * (R(y,z \ 1,z) \ 1)) = x * ((z \ L(z,z \ 1,y)) * K(y \ 1,z \ L(z,z \ 1,y))). x * ((y \ L(y,y \ 1,z)) * K(z \ 1,y \ L(y,y \ 1,z))) = x * (z * (R(z,y \ 1,y) \ 1)). x * ((y \ L(y,y \ 1,z)) * K(z \ 1,y \ L(y,y \ 1,z))) = x * (R(z,y \ 1,y) \ z). x != y * (R(z,u \ 1,u) \ z) | x = a(z,u \ 1,u) \ y. x * ((y \ L(y,y \ 1,z)) * K(z \ 1,y \ L(y,y \ 1,z))) = a(z,y \ 1,y) \ x. x * ((y \ L(y,y \ 1,z)) * 1) = a(z,y \ 1,y) \ x. x * (y \ L(y,y \ 1,z)) = a(z,y \ 1,y) \ x. (a(x,y \ 1,y) \ (1 / y)) \ (y \ 1) = a(y \ x,y,y \ 1). L(x \ 1,x,y * (x \ 1)) \ (x \ 1) = a(x \ y,x,x \ 1). x != L(y \ 1,z,u) \ (y \ 1) | x = y \ (L(1 / y,z,u) \ 1). a(x \ y,x,x \ 1) = x \ (L(1 / x,x,y * (x \ 1)) \ 1). x \ (L(1 / x,x,y * (x \ 1)) \ 1) = a(x \ y,x,x \ 1). x != y \ (L(1 / y,y,z * (y \ 1)) \ 1) | x = (y \ a(z,y \ 1,y)) * y. a(x \ y,x,x \ 1) = (x \ a(y,x \ 1,x)) * x. (x \ a(y,x \ 1,x)) * x = a(x \ y,x,x \ 1). x != (y \ a((y \ 1) \ z,y \ 1,y)) * y | x = y \ (L(1 / y,y,z) \ 1). a(x \ ((x \ 1) \ y),x,x \ 1) = x \ (L(1 / x,x,y) \ 1). x != a(y \ ((y \ 1) \ z),y,y \ 1) | x = (z \ (z / (y \ 1))) \ y. x \ (L(1 / x,x,y) \ 1) = (y \ (y / (x \ 1))) \ x. (x \ (x / (y \ 1))) \ y = y \ (L(1 / y,y,x) \ 1). x != L(y,y \ 1,z) \ y | x = (z / y) \ (z * (1 / y)). a(x,y \ 1,y) = (x / y) \ (x * (1 / y)). (x / y) \ (x * (1 / y)) = a(x,y \ 1,y). K(x,a(y,z \ 1,z) * u) = K(x,u * (L(z,z \ 1,y) \ z)). K(x,y * (L(z,z \ 1,u) \ z)) = K(x,a(u,z \ 1,z) * y). x != K(y,z * (L(u,u \ 1,w) \ u)) | x = K(y,z * a(u \ w,u,u \ 1)). K(x,a(y,z \ 1,z) * u) = K(x,u * a(z \ y,z,z \ 1)). K(x,y * a(z \ u,z,z \ 1)) = K(x,a(u,z \ 1,z) * y). x != (y / (1 / z)) \ (y * (1 / (1 / z))) | x = z \ (1 / ((y * z) \ y)). a(x,(1 / y) \ 1,1 / y) = y \ (1 / ((x * y) \ x)). a(x,y,y \ 1) = y \ (1 / ((x * y) \ x)). x \ (1 / ((y * x) \ y)) = a(y,x,x \ 1). (x \ y) \ (1 / (y \ x)) = a(x,x \ y,(x \ y) \ 1). a(x,x \ y,(x \ y) \ 1) = (x \ y) \ (1 / (y \ x)). x \ (L(1 / x,x,y) \ 1) = a(y,x,x \ 1). (x \ 1) \ a(y,x,x \ 1) = L(x \ 1,x,y) \ 1. a(x,y,y \ 1) \ z = z * (y * ((x * y) \ x)). x * (y * ((z * y) \ z)) = a(z,y,y \ 1) \ x. a(x,y,y \ 1) * z = (y * ((x * y) \ x)) \ z. (x * ((y * x) \ y)) \ z = a(y,x,x \ 1) * z. x != (1 / y) * (y * ((z * y) \ z)) | x = L(1 / y,y,z). a(x,y,y \ 1) \ (1 / y) = L(1 / y,y,x). x * (y * ((z * y) \ z)) = a(K(u,w) * z,y,y \ 1) \ x. a(K(x,y) * z,u,u \ 1) \ w = w * (u * ((z * u) \ z)). x != y * (z * ((u * z) \ u)) | x = a(u,z,z \ 1) \ y. a(K(x,y) * z,u,u \ 1) \ w = a(z,u,u \ 1) \ w. K(x,y) / (a(z,u,u \ 1) \ (z \ 1)) = R(K(x,y) * z,u,u \ 1). K(x,y) / (R(z,u,u \ 1) \ 1) = R(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) * 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(x * K(y,z),u,u \ 1) = a(x,u,u \ 1). x != a((y \ z) * K(u,w),v5,v6) | x = a(y \ (z * K(u,w)),v5,v6). a(x \ y,z,z \ 1) = a(x \ (y * K(u,w)),z,z \ 1). a(x \ (y * K(z,u)),w,w \ 1) = a(x \ y,w,w \ 1). x != a(y \ (z * K(u,w)),v5,v6) | x = a(y \ (K(u,w) * z),v5,v6). a(x \ y,z,z \ 1) = a(x \ (K(u,w) * y),z,z \ 1). a(x \ (K(y,z) * u),w,w \ 1) = a(x \ u,w,w \ 1). a(x \ ((y / z) * u),w,w \ 1) = a(x \ ((z \ y) * u),w,w \ 1). a(x \ (y * (z * u)),w,w \ 1) = a(x \ (y * (u * z)),w,w \ 1). x != a(y \ (z * (u * w)),v5,v5 \ 1) | x = a(y \ (z * (w * u)),v5,v5 \ 1). a(x \ (y * z),u,u \ 1) = a(x \ (K(w,v5) * (z * y)),u,u \ 1). a(x \ (K(y,z) * (u * w)),v5,v5 \ 1) = a(x \ (w * u),v5,v5 \ 1). a(x \ (y * (K(z,y) * u)),w,w \ 1) = a(x \ (u * y),w,w \ 1). a(x \ ((y / (y / z)) * u),w,w \ 1) = a(x \ (u * z),w,w \ 1). x != a(((y \ z) * u) \ (z * u),w,w \ 1) | x = R(a(y,w,w \ 1),z,u). a(((x \ y) * z) \ ((u / (u / z)) * y),w,w \ 1) = R(a(x,w,w \ 1),y,z). x != a(((y \ z) * u) \ ((w / (w / u)) * z),v5,v5 \ 1) | x = R(a(y,v5,v5 \ 1),z,u). a(((x \ y) * z) \ (((u / z) \ u) * y),w,w \ 1) = R(a(x,w,w \ 1),y,z). x != a((y * ((y \ (z \ u)) * y)) \ (((z \ u) / ((z \ u) / y)) * u),w,w \ 1) | x = L(a(z,w,w \ 1),u,(z \ u) / ((z \ u) / y)). a((x * ((x \ (y \ z)) * x)) \ ((((y \ z) / x) \ (y \ z)) * z),u,u \ 1) = L(a(y,u,u \ 1),z,(y \ z) / ((y \ z) / x)). a(((x \ y) * z) \ (z * y),u,u \ 1) = R(a(x,u,u \ 1),y,z). a((x * ((x \ (y \ z)) * x)) \ (x * z),u,u \ 1) = L(a(y,u,u \ 1),z,(y \ z) / ((y \ z) / x)). L(a(x,y,y \ 1),z,(x \ z) / ((x \ z) / u)) = a((u * ((u \ (x \ z)) * u)) \ (u * z),y,y \ 1). x != a((y * ((y \ z) * y)) \ u,w,v5) | x = a((z * y) \ u,w,v5). L(a(x,y,y \ 1),z,(x \ z) / ((x \ z) / u)) = a(((x \ z) * u) \ (u * z),y,y \ 1). x != a(((y \ z) * u) \ (u * z),w,w \ 1) | x = R(a(y,w,w \ 1),z,u). L(a(x,y,y \ 1),z,(x \ z) / ((x \ z) / u)) = R(a(x,y,y \ 1),z,u). x != L(y,z,u / (u / w)) | x = L(y,z,u * (w / u)). R(a(x,y,y \ 1),z,u) = L(a(x,y,y \ 1),z,(x \ z) * (u / (x \ z))). L(a(x,y,y \ 1),z,(x \ z) * (u / (x \ z))) = R(a(x,y,y \ 1),z,u). R(x / a(y,z,z \ 1),a(y,z,z \ 1),L(1 / z,z,y)) = (x * (a(y,z,z \ 1) \ (1 / z))) / (1 / z). ((x * a(y,z,z \ 1)) * L(1 / z,z,y)) / (1 / z) = R(x,a(y,z,z \ 1),a(y,z,z \ 1) \ (1 / z)). R(a(x,y,y \ 1) \ z,a(x,y,y \ 1),L(1 / y,y,x)) = (z * (a(x,y,y \ 1) \ (1 / y))) / (1 / y). ((x * a(y,z,z \ 1)) / (1 / z)) * L(1 / z,z,y) = R(x,a(y,z,z \ 1),a(y,z,z \ 1) \ (1 / z)). x != (y * ((z * y) \ z)) \ (L(1 / y,y,z) * u) | x = L(y \ u,y,(z * y) \ z). a(x,y,y \ 1) * (L(1 / y,y,x) * z) = L(y \ z,y,(x * y) \ x). K(x,a(y,z,z \ 1) * u) = K(x,z \ (((y * z) \ y) \ u)). K(x,y \ (((z * y) \ z) \ u)) = K(x,a(z,y,y \ 1) * u). x != K(y,z \ (((u * z) \ u) \ w)) | x = K(y,(((u * z) \ u) * z) \ w). K(x,a(y,z,z \ 1) * u) = K(x,(((y * z) \ y) * z) \ u). K(x,(((y * z) \ y) * z) \ u) = K(x,a(y,z,z \ 1) * u). K(x,y / ((a(z,u,u \ 1) / T(u \ 1,a(z,u,u \ 1))) \ w)) = K(x,y / ((L(u \ 1,u,z) \ 1) \ w)). K(x,((L(y \ 1,y,z) \ 1) \ u) \ w) = K(x,a(z,y,y \ 1) * ((y \ u) \ w)). K(x,y / ((a(z,u,u \ 1) / (u \ 1)) \ w)) = K(x,y / ((L(u \ 1,u,z) \ 1) \ w)). K(x,y / ((z * a(u,z,z \ 1)) \ w)) = K(x,y / ((L(z \ 1,z,u) \ 1) \ w)). K(x,y / ((L(z \ 1,z,u) \ 1) \ w)) = K(x,y / ((z * a(u,z,z \ 1)) \ w)). K(x,y / ((L(z \ 1,z,u) \ 1) \ w)) = K(x,y / (a(u,z,z \ 1) \ (z \ w))). K(x,y / (a(z,u,u \ 1) \ (u \ w))) = K(x,y / ((L(u \ 1,u,z) \ 1) \ w)). x != y \ (L(1 / y,y,z) \ 1) | x = (z \ (z / (y \ 1))) \ y. a(x,y,y \ 1) = (x \ (x / (y \ 1))) \ y. (x \ (x / (y \ 1))) \ y = a(x,y,y \ 1). x * a(y,z,z \ 1) = (z * L(z \ 1,z,y)) \ x. (x * L(x \ 1,x,y)) \ z = z * a(y,x,x \ 1). x != (y \ (y / ((z \ 1) \ 1))) \ (z \ 1) | x = z \ ((y \ (y / z)) \ 1). a(x,y \ 1,(y \ 1) \ 1) = y \ ((x \ (x / y)) \ 1). x != a(y,z \ u,(z \ u) \ u) | x = a(y,z \ u,z). x \ ((y \ (y / x)) \ 1) = a(y,x \ 1,x). a(x,y \ 1,y) * z = ((x \ (x / y)) * y) \ z. ((x \ (x / y)) * y) \ z = a(x,y \ 1,y) * z. K(x,a(y,z \ 1,z) * u) = K(x,z \ ((y \ (y / z)) \ u)). K(x,y \ ((z \ (z / y)) \ u)) = K(x,a(z,y \ 1,y) * u). x != K(y,z \ ((u \ (u / z)) \ w)) | x = K(y,(z * (u \ (u / z))) \ w). K(x,a(y,z \ 1,z) * u) = K(x,(z * (y \ (y / z))) \ u). K(x,(y * (z \ (z / y))) \ u) = K(x,a(z,y \ 1,y) * u). x != a(y,y \ z,(y \ z) \ 1) | x = y \ (z * ((y \ z) \ 1)). (x \ y) \ (1 / (y \ x)) = x \ (y * ((x \ y) \ 1)). x != ((y * z) \ y) \ (1 / (y \ (y * z))) | x = z \ (((y * z) \ y) \ 1). (x * y) \ (x * (((x * y) \ x) \ 1)) = y \ (((x * y) \ x) \ 1). (x \ (y * ((x \ y) \ 1))) * z = ((x \ y) * (y \ x)) \ z. (((x \ y) * (y \ x)) \ z) \ z = (y * ((x \ y) \ 1)) \ x. (x * ((y \ x) \ 1)) \ y = (y \ x) * (x \ y). x != (y * (((z \ y) \ y) \ 1)) \ (z \ y) | x = z \ ((y * (z \ 1)) \ y). ((x \ y) \ y) * (y \ (x \ y)) = x \ ((y * (x \ 1)) \ y). x != ((y \ z) \ z) * (z \ (y \ z)) | x = y * (z \ (z / y)). x \ ((y * (x \ 1)) \ y) = x * (y \ (y / x)). x != y \ ((z * (y \ 1)) \ z) | x = (z * (y \ 1)) \ (z / y). x * (y \ (y / x)) = (y * (x \ 1)) \ (y / x). (x * (y \ 1)) \ (x / y) = y * (x \ (x / y)). K(x,((y / z) * u) / (z * (y \ (y / z)))) = K(x,(y * (z \ 1)) * u). K(x,(y * (z \ (z / y))) \ ((z / y) * u)) = K(x,(z * (y \ 1)) * u). x != K(y,(z * (u \ (u / z))) \ w) | x = K(y,a(u,z \ 1,z) * w). K(x,(y * (z \ 1)) * u) = K(x,a(y,z \ 1,z) * ((y / z) * u)). K(x,a(y,z \ 1,z) * ((y / z) * u)) = K(x,(y * (z \ 1)) * u). (x \ K(y,L(x \ 1,(x \ 1) \ 1,z) \ u)) * T(L(x \ 1,(x \ 1) \ 1,z) \ u,y) = u * (L(x \ 1,x,z) \ (x \ 1)). (x \ K(y,L(x \ 1,(x \ 1) \ 1,z) \ u)) * T(L(x \ 1,(x \ 1) \ 1,z) \ u,y) = u * (x \ (L(1 / x,x,z) \ 1)). x != y * (z \ (L(1 / z,z,u) \ 1)) | x = (z * L(z \ 1,z,u)) \ y. (x \ K(y,L(x \ 1,(x \ 1) \ 1,z) \ u)) * T(L(x \ 1,(x \ 1) \ 1,z) \ u,y) = (x * L(x \ 1,x,z)) \ u. (x \ K(y,L(x \ 1,x,z) \ u)) * T(L(x \ 1,(x \ 1) \ 1,z) \ u,y) = (x * L(x \ 1,x,z)) \ u. (x \ K(y,L(x \ 1,x,z) \ u)) * T(L(x \ 1,x,z) \ u,y) = (x * L(x \ 1,x,z)) \ u. x != (y \ K(z,u)) * T(u,z) | x = (y \ 1) * u. (x * L(x \ 1,x,y)) \ z = (x \ 1) * (L(x \ 1,x,y) \ z). (x \ 1) * (L(x \ 1,x,y) \ z) = (x * L(x \ 1,x,y)) \ z. ((x * L(x \ 1,x,y)) \ z) / (1 / x) = z / L(1 / x,x,y). (x * a(y,z,z \ 1)) / (1 / z) = x / L(1 / z,z,y). (x / L(1 / y,y,z)) * L(1 / y,y,z) = R(x,a(z,y,y \ 1),a(z,y,y \ 1) \ (1 / y)). R(x,a(y,z,z \ 1),a(y,z,z \ 1) \ (1 / z)) = (x / L(1 / z,z,y)) * L(1 / z,z,y). x != (y / z) * z | x = y. R(x,a(y,z,z \ 1),a(y,z,z \ 1) \ (1 / z)) = x. R(x,a(y,z,z \ 1),L(1 / z,z,y)) = x. x != R(a(y,z,z \ 1) \ u,a(y,z,z \ 1),L(1 / z,z,y)) | x = (u * (a(y,z,z \ 1) \ (1 / z))) / (1 / z). a(x,y,y \ 1) \ z = (z * (a(x,y,y \ 1) \ (1 / y))) / (1 / y). (x * (a(y,z,z \ 1) \ (1 / z))) / (1 / z) = a(y,z,z \ 1) \ x. (x * L(1 / y,y,z)) / (1 / y) = a(z,y,y \ 1) \ x. (x / (1 / y)) * L(1 / y,y,z) = a(z,y,y \ 1) \ x. (x / (y \ 1)) * L(y \ 1,y,z) = a(z,y,y \ 1) \ x. x != y * L(z \ 1,z,u) | x = y * ((u * z) \ u). a(x,y,y \ 1) \ z = (z / (y \ 1)) * ((x * y) \ x). (x / (y \ 1)) * ((z * y) \ z) = a(z,y,y \ 1) \ x. L(x \ 1,x,y) * z = a(y,x,x \ 1) \ ((x \ 1) * z). a(x,y,y \ 1) \ ((y \ 1) * z) = L(y \ 1,y,x) * z. a(x,y,y \ 1) * (L(y \ 1,y,x) * z) = (y \ 1) * z. (L(x \ 1,x,y) * z) * a(y,x,x \ 1) = (x \ 1) * z. K(x,(L(y \ 1,y,z) * u) \ w) = K(x,a(z,y,y \ 1) * (((y \ 1) * u) \ w)). K(x,a(y,z,z \ 1) * (((z \ 1) * u) \ w)) = K(x,(L(z \ 1,z,y) * u) \ w). (((x * y) \ x) * z) * a(x,y,y \ 1) = (y \ 1) * z. (x * ((y * z) \ y)) * a(y,z,z \ 1) = (z \ 1) * T(x,z \ 1). K(x,(((y * L(z,u,z)) \ y) * w) * a(y,L(z,u,z),L(z,u,z) \ 1)) = K(x,(z \ 1) * w). K(x,y \ ((z \ 1) * u)) = K(x,a(w,z,z \ 1) * (y \ (((w * z) \ w) * u))). K(x,a(y,z,z \ 1) * (u \ (((y * z) \ y) * w))) = K(x,u \ ((z \ 1) * w)). K(x,(y \ (((z * u) \ z) * w)) * a(z,u,u \ 1)) = K(x,y \ ((u \ 1) * w)). K(x,(y \ (a(z * u,(z * u) \ z,z * u) \ z)) * a(z,u,u \ 1)) = K(x,y \ ((u \ 1) * T(z * u,z))). K(x,(y \ (a(z * u,u \ 1,z * u) \ z)) * a(z,u,u \ 1)) = K(x,y \ ((u \ 1) * T(z * u,z))). K(x,(y \ z) * (a(z * u,u \ 1,z * u) \ a(z,u,u \ 1))) = K(x,y \ ((u \ 1) * T(z * u,z))). x != K(y,z * (a(u,w,u) \ v5)) | x = K(y,z * v5). K(x,y \ ((z \ 1) * T(u * z,u))) = K(x,(y \ u) * a(u,z,z \ 1)). x != K(y,z \ (u * T(w * v5,w))) | x = K(y,z \ (u * (v5 * w))). K(x,(y \ z) * a(z,u,u \ 1)) = K(x,y \ ((u \ 1) * (u * z))). x != K(y,z \ ((u \ 1) * (u * w))) | x = K(y,z \ L(w,u,u \ 1)). K(x,(y \ z) * a(z,u,u \ 1)) = K(x,y \ L(z,u,u \ 1)). K(x,(((y * L(z,u,z)) \ y) * w) * a(y,L(z,u,z),z \ 1)) = K(x,(z \ 1) * w). K(x,(((y * L(z,u,z)) \ y) * w) * a(y,z,z \ 1)) = K(x,(z \ 1) * w). K(x,(((y * L(z,u,z)) \ y) * w) * a(y,z,z \ 1)) != v5 | K(x,z \ w) = v5. x != (y \ z) * (T(y,y \ z) * u) | x = (z / y) * (y * u). a(x,y,y \ 1) * (L(y \ 1,y,x) * (T(y,y \ 1) * z)) = (1 / y) * (y * z). (x * ((y * z) \ y)) * a(y,z,z \ 1) = x * (z \ 1). K(x,(y * ((z * L(u,w,u)) \ z)) * a(z,L(u,w,u),L(u,w,u) \ 1)) = K(x,y * (u \ 1)). K(x,(y * ((z * L(u,w,u)) \ z)) * a(z,L(u,w,u),u \ 1)) = K(x,y * (u \ 1)). K(x,(y * ((z * L(u,w,u)) \ z)) * a(z,u,u \ 1)) = K(x,y * (u \ 1)). K(x,(y * ((z * L(u,w,u)) \ z)) * a(z,u,u \ 1)) != v5 | K(x,y / u) = v5. a(x,y,y \ 1) * (L(1 / y,y,x) * (y * z)) = (1 / y) * (y * z). x != a(y,z,z \ 1) * (L(1 / z,z,y) * u) | x = L(z \ u,z,(y * z) \ y). (1 / x) * (x * y) = L(x \ (x * y),x,(z * x) \ z). L(x \ (x * y),x,(z * x) \ z) = (1 / x) * (x * y). L(x,y,(z * y) \ z) = (1 / y) * (y * x). x != (1 / y) * (y * z) | x = L(z,y,y \ 1). L(x,y,(z * y) \ z) = L(x,y,y \ 1). L(x,y,(z * y) \ z) != u | L(x,y,y \ 1) = u. L(x,y,y \ 1) \ x = (x / (y * x)) * y. a(x \ 1,x,y) = (y / (x * y)) * x. (x / (y * x)) * y = a(y \ 1,y,x). L(x \ ((y / (x * y)) \ z),x,y / (x * y)) = a(x \ 1,x,y) \ z. x != L(y,z,u / (w * u)) | x = L(y,z,(u * w) \ u). a(x \ 1,x,y) \ z = L(x \ ((y / (x * y)) \ z),x,(y * x) \ y). L(x \ ((y / (x * y)) \ z),x,(y * x) \ y) = a(x \ 1,x,y) \ z. L(x \ ((y / (x * y)) \ z),x,x \ 1) = a(x \ 1,x,y) \ z. (1 / x) * ((y / (x * y)) \ z) = a(x \ 1,x,y) \ z. x != (1 / y) * ((z / (y * z)) \ u) | x = (y \ 1) * (R(y \ 1,y,z) \ u). a(x \ 1,x,y) \ z = (x \ 1) * (R(x \ 1,x,y) \ z). (x \ 1) * (R(x \ 1,x,y) \ z) = a(x \ 1,x,y) \ z. (a(x \ 1,x,y) \ z) / (x \ 1) = z / R(x \ 1,x,y). (a(x \ 1,x,y) \ z) / (x \ 1) = u \ (u * (z / R(x \ 1,x,y))). x \ (x * (y / R(z \ 1,z,u))) = (a(z \ 1,z,u) \ y) / (z \ 1). (a(x \ 1,x,y) \ z) / (x \ 1) != u | u = z / R(x \ 1,x,y). (a(x \ 1,x,y) \ z) / (x \ 1) != u | z / R(x \ 1,x,y) = u. K(x,L(y \ (z / u),z,u)) = K(x,z / (T(y,z / u) * u)). K(x,y / (T(z,y / u) * u)) = K(x,L(z \ (y / u),y,u)). x != K(y,L(z \ (u / w),u,w)) | x = K(y,(w * z) \ T(u,w)). K(x,y / (T(z,y / u) * u)) = K(x,(u * z) \ T(y,u)). K(x,(y * z) \ T(u,y)) * K(x,K(u,T(z,u / y) * y)) = K(x,T((z * y) \ u,y \ u)). K(x,(y * z) \ T(u,y)) * K(x,K(u,y * z)) = K(x,T((z * y) \ u,y \ u)). K(x,T(y,z) / (z * u)) = K(x,T((u * z) \ y,z \ y)). K(x,T((y * z) \ u,z \ u)) = K(x,T(u,z) / (z * y)). K(x,T(((1 / y) * ((1 / y) \ z)) \ u,((1 / y) \ z) \ u)) = K(x,T(u,(1 / y) \ z) / (((y \ 1) \ z) * (y \ 1))). K(x,T((y * ((y * z) / y)) \ u,z \ u)) = K(x,T(u,z) / (z * T(y,z))). K(x,T((y * (y \ (z \ y))) \ u,(y \ (z \ y)) \ u)) = K(x,T(u,y \ (z \ y)) / ((z \ y) * K(z \ 1,y))). K(x,T((y \ z) \ u,(z \ (y \ z)) \ u)) = K(x,T(u,z \ (y \ z)) / ((y \ z) * K(y \ 1,z))). K(x,T((y \ z) \ u,(y \ z) \ (u * z))) = K(x,T(u,z \ (y \ z)) / ((y \ z) * K(y \ 1,z))). K(x,T((y \ z) \ u,z)) = K(x,T(u,z \ (y \ z)) / ((y \ z) * K(y \ 1,z))). K(x,T(y,z \ (u \ z)) / ((u \ z) * K(u \ 1,z))) = K(x,T((u \ z) \ y,z)). K(x,(T(y,z \ (u \ z)) / (u \ z)) * K(z,u \ 1)) = K(x,T((u \ z) \ y,z)). K(x,(T(y,z \ (u \ z)) / (u \ z)) * K(u,z)) = K(x,T((u \ z) \ y,z)). K(x,T(y,z \ (u \ z)) * ((u \ z) \ K(u,z))) = K(x,T((u \ z) \ y,z)). K(x,T(y,z \ (u \ z)) / (T(u,z) \ z)) = K(x,T((u \ z) \ y,z)). K(x,T(y,z \ (u \ z)) / (z / u)) = K(x,T((u \ z) \ y,z)). x != K(y,T(z,u \ (w \ u)) / v5) | x = K(y,T(z,w) / v5). K(x,T((y \ z) \ u,z)) = K(x,T(u,y) / (z / y)). x != K(y,T(z \ u,z) / w) | x = K(y,(u / z) / w). K(x,T((y \ z) \ (y \ u),z)) = K(x,(u / y) / (z / y)). K(x,(((y \ z) \ u) * w) / (K(z,(y \ z) \ u) * w)) = K(x,T(u,y) / (z / y)). K(x,(((y \ z) \ u) * w) / (K(z,z \ (y * u)) * w)) = K(x,T(u,y) / (z / y)). K(x,(((y \ z) \ u) * w) * (w \ K(z \ (y * u),z))) = K(x,T(u,y) / (z / y)). x != K(y,z * (u \ K(w \ v5,w))) | x = K(y,z * (u \ K(v5,w))). K(x,T(y,z) / (u / z)) = K(x,(((z \ u) \ y) * w) * (w \ K(z * y,u))). K(x,(((y \ z) \ u) * w) * (w \ K(y * u,z))) = K(x,T(u,y) / (z / y)). x != K(y,(z * u) * (u \ K(w,v5))) | x = K(y,z * K(w,v5)). K(x,T(y,z) / (u / z)) = K(x,((z \ u) \ y) * K(z * y,u)). K(x,((y \ z) \ u) * K(y * u,z)) = K(x,T(u,y) / (z / y)). K(x,T(y,z) / (u / z)) = K(x,(z \ T(u,z * y)) \ y). K(x,(y \ T(z,y * u)) \ u) = K(x,T(u,y) / (z / y)). K(x,((y \ z) \ T(u,y \ (w * (z / w)))) \ K(w,w \ z)) = K(x,T(K(w,w \ z),y \ z) / (u / (y \ z))). K(x,((y \ z) \ T(u,y \ T(z,w))) \ K(w,w \ z)) = K(x,T(K(w,w \ z),y \ z) / (u / (y \ z))). K(x,T(K(y,y \ z),u \ z) / (w / (u \ z))) = K(x,((u \ z) \ T(w,u \ T(z,y))) \ K(y,z)). x != K(y,(z \ u) \ K(w,v5)) | x = K(y,K(w,v5) * (u \ z)). K(x,T(K(y,y \ z),u \ z) / (w / (u \ z))) = K(x,K(y,z) * (T(w,u \ T(z,y)) \ (u \ z))). x != K(y,K(z,u) * (w \ (v5 \ u))) | x = K(y,w \ (v5 \ T(u,z))). K(x,T(K(y,y \ z),u \ z) / (w / (u \ z))) = K(x,T(w,u \ T(z,y)) \ (u \ T(z,y))). x != K(y,T(z,u) \ u) | x = K(y,u / z). K(x,T(K(y,y \ z),u \ z) / (w / (u \ z))) = K(x,(u \ T(z,y)) / w). K(x,K(y,T(y \ z,u \ z)) / (w / (u \ z))) = K(x,(u \ T(z,y)) / w). K(x,K(y,T(y \ z,u)) / (w / (u \ z))) = K(x,(u \ T(z,y)) / w). K(x,(y / (z \ u)) \ K(w,T(w \ u,z))) = K(x,(z \ T(u,w)) / y). K(x,(y / (z \ u)) \ K(w,w \ u)) = K(x,(z \ T(u,w)) / y). K(x,(y \ T(z,u)) / w) = K(x,(w / (y \ z)) \ K(u,z)). K(x,(y / (z \ u)) \ K(w,u)) = K(x,(z \ T(u,w)) / y). K(x,(y \ z) * (u \ K(w,z))) = K(x,(y \ T(z,w)) / u). x != K(y,(z \ u) * (w \ K(v5,u))) | x = K(y,(z \ (v5 * (u / v5))) / 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). x != K(y,(z \ (u * ((u * w) / u))) / ((z \ T(u,w)) * w)) | x = a(z,T(u,w),K(y,w)). K(x,(y \ T(z * u,z)) / ((y \ T(z,u)) * u)) = a(y,T(z,u),K(x,u)). x != a(y,T(z,u),K(w,v5)) | x = a(y,z,K(w,v5)). K(x,(y \ T(z * u,z)) / ((y \ T(z,u)) * u)) = a(y,z,K(x,u)). K(x,(y \ (z * u)) / ((y \ T(u,z)) * z)) = a(y,u,K(x,z)). K(x,T((T(y * z,y) \ u) \ ((z * y) \ w),u)) = K(x,(w / T(y * z,y)) / (u / T(y * z,y))). x != K(y,T((T(z,u) \ u) \ w,v5)) | x = K(y,T((u / z) \ w,v5)). K(x,(y / T(z * u,z)) / (z / T(z * u,z))) = K(x,T((z / (z * u)) \ ((u * z) \ y),z)). x != K(y,T((z / (z * u)) \ w,v5)) | x = K(y,T(((u * z) \ z) \ w,v5)). K(x,(y / T(z * u,z)) / (z / T(z * u,z))) = K(x,T(((u * z) \ z) \ ((u * z) \ y),z)). x != K(y,T((z \ u) \ (z \ w),u)) | x = K(y,(w / z) / (u / z)). K(x,(y / T(z * u,z)) / (z / T(z * u,z))) = K(x,(y / (u * z)) / (z / (u * z))). K(x,(y / T(z * u,z)) / (z / T(z * u,z))) = K(x,(y / (u * z)) / ((z * u) \ z)). x != K(y,(z / (u * w)) / ((w * u) \ w)) | x = K(y,(z * (w \ (u \ 1))) * u). K(x,(y / T(z * u,z)) / (z / T(z * u,z))) = K(x,(y * (z \ (u \ 1))) * u). x != K(y,z / (u / T(w,u))) | x = K(y,z / (w \ u)). K(x,(y * (z \ (u \ 1))) * u) = K(x,(y / T(z * u,z)) / ((z * u) \ z)). K(x,(y / T(z * u,z)) / ((z * u) \ z)) = K(x,(y * (z \ (u \ 1))) * u). x != K(y,(z / T(u,w)) / (u \ v5)) | x = K(y,(z / u) / (T(u,w) \ v5)). K(x,(y * (z \ (u \ 1))) * u) = K(x,(y / (z * u)) / (T(z * u,z) \ z)). K(x,(y / (z * u)) / (T(z * u,z) \ z)) = K(x,(y * (z \ (u \ 1))) * u). x != K(y,z / (T(u * w,u) \ v5)) | x = K(y,z / ((w * u) \ v5)). K(x,(y * (z \ (u \ 1))) * u) = K(x,(y / (z * u)) / ((u * z) \ z)). K(x,(y / (z * u)) / ((u * z) \ z)) = K(x,(y * (z \ (u \ 1))) * u). K(x,T((y * ((y * z) / y)) \ u,z \ u)) = K(x,T(u,z) / (y * z)). K(x,T((y * T(z,y)) \ u,z \ u)) = K(x,T(u,z) / (y * z)). K(x,T((y * z) \ u,y \ u)) = K(x,T(u,y) / (z * y)). x != K(y,T((a(z \ 1,z,u) * w) \ v5,a(z \ 1,z,u) \ v5)) | x = K(y,(a(z \ 1,z,u) \ v5) / w). K(x,T(y,a(z \ 1,z,u)) / (w * a(z \ 1,z,u))) = K(x,(a(z \ 1,z,u) \ y) / w). K(x,y / (z * a(u \ 1,u,w))) = K(x,(a(u \ 1,u,w) \ y) / z). K(x,(a(y \ 1,y,z) \ u) / w) = K(x,u / (w * a(y \ 1,y,z))). x != K(y,z / (u * a(w,v5,v6))) | x = K(y,a(w,v5,v6) \ (z / u)). K(x,(a(y \ 1,y,z) \ u) / w) = K(x,a(y \ 1,y,z) \ (u / w)). x != K(y,a(z \ 1,z,u) \ w) | x = K(y,a(u,z,z \ 1) * w). K(x,(a(y \ 1,y,z) \ u) / w) = K(x,a(z,y,y \ 1) * (u / w)). x != K(y,(a(z \ 1,z,u) \ w) / v5) | x = K(y,(v5 / w) \ a(u,z,z \ 1)). K(x,a(y,z,z \ 1) * (u / w)) = K(x,(w / u) \ a(y,z,z \ 1)). K(x,(y / z) \ a(u,w,w \ 1)) = K(x,a(u,w,w \ 1) * (z / y)). x != K(y,(z / u) \ a(w,v5,v5 \ 1)) | x = K(y,u / (a(w,v5,v5 \ 1) \ z)). K(x,a(y,z,z \ 1) * (u / w)) = K(x,u / (a(y,z,z \ 1) \ w)). K(x,y / (a(z,u,u \ 1) \ w)) = K(x,a(z,u,u \ 1) * (y / w)). x != K(y,z / (a(u,w,w \ 1) \ (w \ v5))) | x = K(y,z / ((L(w \ 1,w,u) \ 1) \ v5)). K(x,a(y,z,z \ 1) * (u / (z \ w))) = K(x,u / ((L(z \ 1,z,y) \ 1) \ w)). K(x,y / ((L(z \ 1,z,u) \ 1) \ w)) = K(x,a(u,z,z \ 1) * (y / (z \ w))). K(x,y / (((z \ (u * 1)) \ 1) \ w)) = K(x,a(u,u \ z,(u \ z) \ 1) * (y / ((u \ z) \ w))). K(x,a(y,y \ z,(y \ z) \ 1) * (u / ((y \ z) \ w))) = K(x,u / (((z \ (y * 1)) \ 1) \ w)). K(x,((y * ((y \ z) * ((y \ z) \ 1))) \ (z * ((y \ z) \ 1))) * (u / ((y \ z) \ w))) = K(x,u / (((z \ (y * 1)) \ 1) \ w)). K(x,((y * ((y \ z) * ((y \ z) \ 1))) \ (z * ((y \ z) \ 1))) * (u / ((y \ z) \ w))) = K(x,u / (((z \ y) \ 1) \ w)). K(x,(y \ (z * ((y \ z) \ 1))) * (u / ((y \ z) \ w))) = K(x,u / (((z \ y) \ 1) \ w)). K(x,((y * z) \ (y * (((y * z) \ y) \ 1))) * (u / (((y * z) \ y) \ w))) = K(x,u / ((z \ 1) \ w)). K(x,(y \ (((z * y) \ z) \ 1)) * (u / (((z * y) \ z) \ w))) = K(x,u / ((y \ 1) \ w)). K(x,(((y * z) \ y) * z) \ (u / (((y * z) \ y) \ w))) = K(x,u / ((z \ 1) \ w)). x != K(y,(((z * u) \ z) * u) \ w) | x = K(y,a(z,u,u \ 1) * w). K(x,y / ((z \ 1) \ u)) = K(x,a(w,z,z \ 1) * (y / (((w * z) \ w) \ u))). K(x,a(y,z,z \ 1) * (u / (((y * z) \ y) \ w))) = K(x,u / ((z \ 1) \ w)). K(x,T(y \ z,((1 / u) \ y) \ z)) = K(x,T(z,(1 / u) \ y) / (((u \ 1) \ y) * (u \ 1))). K(x,T(y \ z,((u \ 1) \ y) \ z)) = K(x,T(z,(1 / u) \ y) / (((u \ 1) \ y) * (u \ 1))). K(x,T(y \ z,y \ (z * (u \ 1)))) = K(x,T(z,(1 / u) \ y) / (((u \ 1) \ y) * (u \ 1))). K(x,T(y \ z,u \ 1)) = K(x,T(z,(1 / u) \ y) / (((u \ 1) \ y) * (u \ 1))). K(x,T(y,(1 / z) \ u) / (((z \ 1) \ u) * (z \ 1))) = K(x,T(u \ y,z \ 1)). K(x,T(y,(1 / z) \ u) / (((z \ 1) \ u) * (z \ 1))) = K(x,T(u \ y,z)). K(x,T(y,z * u) / (((z \ 1) \ u) * (z \ 1))) = K(x,T(u \ y,z)). x != K(y,z / ((u \ w) * u)) | x = K(y,z / T(w,u)). K(x,T(y \ z,u)) = K(x,T(z,u * y) / T(y,u \ 1)). K(x,T(y,z * u) / T(u,z \ 1)) = K(x,T(u \ y,z)). x != K(y,z / T(u,w \ 1)) | x = K(y,z / T(u,w)). K(x,T(y \ z,u)) = K(x,T(z,u * y) / T(y,u)). K(x,T(y,z * u) / T(u,z)) = K(x,T(u \ y,z)). x != K(y,T(z,u * w) / T(w,u)) | x = K(y,w / ((w / (z / (u * w))) / u)). K(x,T(y \ z,u)) = K(x,y / ((y / (z / (u * y))) / u)). K(x,y / ((y / (z / (u * y))) / u)) = K(x,T(y \ z,u)). x != K(y,(1 / z) / (((1 / z) / (u / (w * (1 / z)))) / w)) | x = K(y,T(u,z * w) * T(z,w)). K(x,T((1 / y) \ z,u)) = K(x,T(z,y * u) * T(y,u)). K(x,T(y,z * u) * T(z,u)) = K(x,T((1 / z) \ y,u)). x != K(y,T((1 / z) \ u,w)) | x = K(y,T(z * u,w)). K(x,T(y,z * u) * T(z,u)) = K(x,T(z * y,u)). K(x,T(y,T(z,u)) * T(u,z / u)) = K(x,T(u * y,z / u)). K(x,T(y,L(z,u,K(w,v5))) * T(a(v5,u,w) \ z,a(v5,u,w))) = K(x,T((a(v5,u,w) \ z) * y,a(v5,u,w))). K(x,T(y,z) * T(a(u,w,v5) \ z,a(u,w,v5))) = K(x,T((a(u,w,v5) \ z) * y,a(u,w,v5))). K(x,T(y,z) * (a(u,w,v5) \ z)) = K(x,T((a(u,w,v5) \ z) * y,a(u,w,v5))). K(x,T((a(y,z,u) \ w) * v5,a(y,z,u))) = K(x,T(v5,w) * (a(y,z,u) \ w)). K(x,(a(y,z,u) \ w) * v5) = K(x,T(v5,w) * (a(y,z,u) \ w)). K(x,T(y,z) * (a(u,w,v5) \ z)) = K(x,(a(u,w,v5) \ z) * y). x != K(y,T(z,u) * (a(w,v5,v6) \ u)) | x = K(y,a(w,v5,v6) \ ((u \ 1) \ z)). K(x,(a(y,z,u) \ w) * v5) = K(x,a(y,z,u) \ ((w \ 1) \ v5)). K(x,a(y,z,u) \ ((w \ 1) \ v5)) = K(x,(a(y,z,u) \ w) * v5). K(x,L(y * (a(z,u,w) \ v5),v5,a(w,u,z) \ 1)) = K(x,(a(z,u,w) \ y) * v5). x != K(y,L(z,u,a(w,v5,v6) \ 1)) | x = K(y,L(z,u,a(v6,v5,w))). K(x,(a(y,z,u) \ w) * v5) = K(x,L(w * (a(y,z,u) \ v5),v5,a(y,z,u))). K(x,L(y * (a(z,u,w) \ v5),v5,a(z,u,w))) = K(x,(a(z,u,w) \ y) * v5). K(x,y * (a(z,u,w) \ v5)) = K(x,(a(z,u,w) \ y) * v5). K(x,(a(y,z,u) \ w) * v5) = K(x,w * (a(y,z,u) \ v5)). K(x,(a(y,z,u) \ w) * v5) != v6 | K(x,w * (a(y,z,u) \ v5)) = v6. K(x,T(a(y,z,u) \ w,v5) * v6) = K(x,(w * K(a(y,z,u) \ w,v5)) * (a(y,z,u) \ v6)). K(x,(y * K(a(z,u,w) \ y,v5)) * (a(z,u,w) \ v6)) = K(x,T(a(z,u,w) \ y,v5) * v6). K(x,(a(y,z,u) \ w) * (v5 * K(a(y,z,u) \ v5,v6))) = K(x,w * T(a(y,z,u) \ v5,v6)). x != K(y,z * (u * K(w \ v5,v6))) | x = K(y,z * (u * K(w * v5,v6))). K(x,y * T(a(z,u,w) \ v5,v6)) = K(x,(a(z,u,w) \ y) * (v5 * K(a(z,u,w) * v5,v6))). K(x,(a(y,z,u) \ w) * (v5 * K(a(y,z,u) * v5,v6))) = K(x,w * T(a(y,z,u) \ v5,v6)). x != K(y,z * (u * K(a(w,v5,v6) * v7,v8))) | x = K(y,K(v7,v8) * (z * u)). K(x,y * T(a(z,u,w) \ v5,v6)) = K(x,K(v5,v6) * ((a(z,u,w) \ y) * v5)). K(x,K(y,z) * ((a(u,w,v5) \ v6) * y)) = K(x,v6 * T(a(u,w,v5) \ y,z)). K(x,(a(y,z,u) \ w) * T(v5,v6)) = K(x,w * T(a(y,z,u) \ v5,v6)). K(x,y * (a(z,u,w) \ T(v5,v6))) = K(x,y * T(a(z,u,w) \ v5,v6)). K(x,y * ((a(z,u,w) \ v5) * K(a(z,u,w) \ y,v6))) = K(x,T(a(z,u,w) \ y,v6) * v5). K(x,T(a(y,z,u) \ w,v5) * v6) = K(x,w * ((a(y,z,u) \ v6) * K(a(y,z,u) * w,v5))). K(x,y * ((a(z,u,w) \ v5) * K(a(z,u,w) * y,v6))) = K(x,T(a(z,u,w) \ y,v6) * v5). K(x,T(a(y,z,u) \ w,v5) * v6) = K(x,K(w,v5) * (w * (a(y,z,u) \ v6))). K(x,K(y,z) * (y * (a(u,w,v5) \ v6))) = K(x,T(a(u,w,v5) \ y,z) * v6). K(x,T(y,z) * (a(u,w,v5) \ v6)) = K(x,T(a(u,w,v5) \ y,z) * v6). K(x,T(a(y,z,u) \ w,v5) * v6) = K(x,T(w,v5) * (a(y,z,u) \ v6)). K(x,T(y,z) * T(u,z / u)) = K(x,T(u * y,z / u)). K(x,T(y,z) * a(u,w,v5)) = K(x,T(a(u,w,v5) * y,z / a(u,w,v5))). K(x,T(a(y,z,u) * w,v5 / a(y,z,u))) = K(x,T(w,v5) * a(y,z,u)). K(x,T(a(y,z,u) * w,a(y,z,u) * v5)) = K(x,T(w,v5) * a(y,z,u)). x != K(y,T(z,a(u,w,v5) * v6)) | x = K(y,T(z,v6)). K(x,T(y,z) * a(u,w,v5)) = K(x,T(a(u,w,v5) * y,z)). K(x,a(y,z,u) * T(w,v5)) = K(x,T(a(y,z,u) * w,v5)). L(T(x,K(y,z) * (a(u,w,v5) * y)),a(u,w,v5) * y,K(y,z)) = K(x,T(a(u,w,v5) * y,z)) * L(x,a(u,w,v5) * y,K(y,z)). L(T(x,K(y,z) * (a(u,w,v5) * y)),a(u,w,v5) * y,K(y,z)) = K(x,T(a(u,w,v5) * y,z)) * L(x,a(u,w,v5),K(y,z)). L(T(x,K(y,z) * (a(u,w,v5) * y)),a(u,w,v5) * y,K(y,z)) = K(x,T(a(u,w,v5) * y,z)) * x. L(T(x,K(y,z) * (a(u,w,v5) * y)),a(u,w,v5) * y,K(y,z)) = T(x,T(a(u,w,v5) * y,z)). L(T(x,a(y,z,u) * T(w,v5)),a(y,z,u) * w,K(w,v5)) = T(x,T(a(y,z,u) * w,v5)). L(T(x,a(y,z,u) * T(w,v5)),a(y,z,u),K(w,v5)) = T(x,T(a(y,z,u) * w,v5)). T(x,T(a(y,z,u) * w,v5)) = T(x,a(y,z,u) * T(w,v5)). T(x,a(y,z,u) * T(w,v5)) = T(x,T(a(y,z,u) * w,v5)). T(x,T(y,z) * a(u,w,v5)) = T(x,T(a(u,w,v5) * y,z)). T(x,y \ (a(z,u,w) * K(y \ 1,v5))) = T(x,T(a(z,u,w) * (y \ 1),v5)). x != T(y,T(z * (u \ 1),w)) | x = T(y,T(z / u,w)). T(x,y \ (a(z,u,w) * K(y \ 1,v5))) = T(x,T(a(z,u,w) / y,v5)). x != T(y,T(a(z,u,w) / v5,v6)) | x = T(y,T(v5 \ a(z,u,w),v6)). T(x,y \ (a(z,u,w) * K(y \ 1,v5))) = T(x,T(y \ a(z,u,w),v5)). T(x,(y \ a(z,u,w)) * K(y \ 1,v5)) = T(x,T(y \ a(z,u,w),v5)). x != T(y,z * K(u \ 1,w)) | x = T(y,z * K(u,w)). T(x,T(y \ a(z,u,w),v5)) = T(x,(y \ a(z,u,w)) * K(y,v5)). T(x,(y \ a(z,u,w)) * K(y,v5)) = T(x,T(y \ a(z,u,w),v5)). x != T(y,(z \ u) * K(z,w)) | x = T(y,T(z,w) \ u). T(x,T(y \ a(z,u,w),v5)) = T(x,T(y,v5) \ a(z,u,w)). T(x,T(y,z) \ a(u,w,v5)) = T(x,T(y \ a(u,w,v5),z)). K(x,(T(y,z) \ T(z,T(u \ a(w,v5,v6),v7))) * v8) = K(x,(T(z,T(u,v7) \ a(w,v5,v6)) / y) * v8). x != K(y,(z \ T(u,T(w,v5))) * v6) | x = K(y,(z \ T(u,w)) * v6). K(x,(T(y,T(z,u) \ a(w,v5,v6)) / v7) * v8) = K(x,(T(v7,y) \ T(y,z \ a(w,v5,v6))) * v8). K(x,(T(y,z) \ T(z,u \ a(w,v5,v6))) * v7) = K(x,(T(z,T(u,v8) \ a(w,v5,v6)) / y) * v7). x != K(y,(z \ T(u,w \ v5)) * v6) | x = K(y,(z \ T(u,w * v5)) * v6). K(x,(T(y,T(z,u) \ a(w,v5,v6)) / v7) * v8) = K(x,(T(v7,y) \ T(y,z * a(w,v5,v6))) * v8). K(x,(T(y,z) \ T(z,u * a(w,v5,v6))) * v7) = K(x,(T(z,T(u,v8) \ a(w,v5,v6)) / y) * v7). x != K(y,(z \ T(u,w * a(v5,v6,v7))) * v8) | x = K(y,(z \ T(u,w)) * v8). K(x,(T(y,T(z,u) \ a(w,v5,v6)) / v7) * v8) = K(x,(T(v7,y) \ T(y,z)) * v8). K(x,(T(y,z) \ T(z,u)) * w) = K(x,(T(z,T(u,v5) \ a(v6,v7,v8)) / y) * w). K(x,(T(y,T(z,u) \ a(w,v5,v6)) / v7) * v8) = K(x,(T(y,z) / v7) * v8). K(x,(T(y,z \ a(u,w,v5)) / v6) * v7) = K(x,(T(y,z) / v6) * v7). x != K(y,(T(z,u \ w) / v5) * v6) | x = K(y,(T(z,u * w) / v5) * v6). K(x,(T(y,z) / u) * w) = K(x,(T(y,z * a(v5,v6,v7)) / u) * w). K(x,(T(y,z * a(u,w,v5)) / v6) * v7) = K(x,(T(y,z) / v6) * v7). K(x,K(y,z * u)) * K(x,(T(u,w) / z) * y) = K(x,y * (T(u,w * a(v5,v6,v7)) / z)). K(x,y * (T(z,u * a(w,v5,v6)) / v7)) = K(x,K(y,v7 * z)) * K(x,(T(z,u) / v7) * y). x != K(y,K(z,u * w)) * K(y,(T(w,v5) / u) * z) | x = K(y,z * (T(w,v5) / u)). K(x,y * (T(z,u * a(w,v5,v6)) / v7)) = K(x,y * (T(z,u) / v7)). x != K(y,z * (T(u,w * v5) / v6)) | x = K(y,z * (T(u,v5 * w) / v6)). K(x,y * (T(z,u) / w)) = K(x,y * (T(z,a(v5,v6,v7) * u) / w)). K(x,y * (T(z,a(u,w,v5) * v6) / v7)) = K(x,y * (T(z,v6) / v7)). K(x,y * (a(z,u,w) \ (T(v5,a(v6,v7,v8) * v9) / v10))) = K(x,(a(z,u,w) \ y) * (T(v5,v9) / v10)). K(x,y * (z / T(T(a(u,w,v5) * v6,z),z))) = K(x,y * (T(z,v6) / T(a(u,w,v5) * v6,z))). K(x,y * (T(z,u) / T(a(w,v5,v6) * u,z))) = K(x,y * (z / T(T(a(w,v5,v6) * u,z),z))). x != K(y,z * (u / T(T(w,v5),v5))) | x = K(y,z * (u / w)). K(x,y * (T(z,u) / T(a(w,v5,v6) * u,z))) = K(x,y * (z / (a(w,v5,v6) * u))). K(x,y * (z / (a(u,w,v5) * v6))) = K(x,y * ((a(u,w,v5) * v6) \ T(z,v6))). K(x,y * ((a(z,u,w) * v5) \ T(v6,v5))) = K(x,y * (v6 / (a(z,u,w) * v5))). x != K(y,z * ((a(u,w,v5) * v6) \ T(v7,v6))) | x = K(y,z * T(a(u,w,v5) \ (v6 \ v7),v6)). K(x,y * (z / (a(u,w,v5) * v6))) = K(x,y * T(a(u,w,v5) \ (v6 \ z),v6)). K(x,y * T(a(z,u,w) \ (v5 \ v6),v5)) = K(x,y * (v6 / (a(z,u,w) * v5))). K(x,T(a(y,z,u) \ (w \ v5),w) * T(v6,T(a(y,z,u) \ (w \ v5),w))) = K(x,v6 * (v5 / (a(y,z,u) * w))). K(x,y * T(a(z,u,w) \ (v5 \ T(v6,v6 \ (a(z,u,w) * v5))),v5)) = K(x,y * (v6 / ((v6 \ (a(z,u,w) * v5)) * v6))). K(x,y * T(a(z,u,w) \ (v5 \ T(v6,a(z,u,w) * (v6 \ v5))),v5)) = K(x,y * (v6 / ((v6 \ (a(z,u,w) * v5)) * v6))). x != K(y,z * T(a(u,w,v5) \ (v6 \ v7),v6)) | x = K(y,z * (v7 / (a(u,w,v5) * v6))). K(x,y * (z / ((z \ (a(u,w,v5) * v6)) * z))) = K(x,y * (T(z,a(u,w,v5) * (z \ v6)) / (a(u,w,v5) * v6))). K(x,y * (T(z,a(u,w,v5) * (z \ v6)) / (a(u,w,v5) * v6))) = K(x,y * (z / ((z \ (a(u,w,v5) * v6)) * z))). K(x,T(a(y,z,u) \ (w \ v5),w) * T(v6,a(y,z,u) \ (v5 / w))) = K(x,v6 * (v5 / (a(y,z,u) * w))). K(x,T(a(y,z,u) \ (w \ v5),w) * T(v6,a(y,z,u) * (v5 / w))) = K(x,v6 * (v5 / (a(y,z,u) * w))). x != K(y,z * T(u,w * (v5 / v6))) | x = K(y,z * T(u,w * (v5 * v6))). K(x,y * (z / (a(u,w,v5) * v6))) = K(x,T(a(u,w,v5) \ (v6 \ z),v6) * T(y,a(u,w,v5) * (z * v6))). K(x,T(a(y,z,u) \ (w \ v5),w) * T(v6,a(y,z,u) * (v5 * w))) = K(x,v6 * (v5 / (a(y,z,u) * w))). x != K(y,z * T(u,a(w,v5,v6) * v7)) | x = K(y,z * T(u,v7)). K(x,y * (z / (a(u,w,v5) * v6))) = K(x,T(a(u,w,v5) \ (v6 \ z),v6) * T(y,z * v6)). K(x,T(a(y,z,u) \ (w \ v5),w) * T(v6,v5 * w)) = K(x,v6 * (v5 / (a(y,z,u) * w))). x != K(y,T(a(z,u,w) \ v5,v6) * v7) | x = K(y,T(v5,v6) * (a(z,u,w) \ v7)). K(x,y * (z / (a(u,w,v5) * v6))) = K(x,T(v6 \ z,v6) * (a(u,w,v5) \ T(y,z * v6))). K(x,T(y \ z,y) * (a(u,w,v5) \ T(v6,z * y))) = K(x,v6 * (z / (a(u,w,v5) * y))). x != K(y,z * (a(u,w,v5) \ T(v6,v7))) | x = K(y,z * T(a(u,w,v5) \ v6,v7)). K(x,y * (z / (a(u,w,v5) * v6))) = K(x,T(v6 \ z,v6) * T(a(u,w,v5) \ y,z * v6)). K(x,T(y \ z,y) * T(a(u,w,v5) \ v6,z * y)) = K(x,v6 * (z / (a(u,w,v5) * y))). x != K(y,T(z \ u,z) * w) | x = K(y,(u / z) * w). K(x,y * (z / (a(u,w,v5) * v6))) = K(x,(z / v6) * T(a(u,w,v5) \ y,z * v6)). K(x,(y / z) * T(a(u,w,v5) \ v6,y * z)) = K(x,v6 * (y / (a(u,w,v5) * z))). x != K(y,(z / u) * T(w,z * u)) | x = K(y,w * (z / u)). K(x,y * (z / (a(u,w,v5) * v6))) = K(x,(a(u,w,v5) \ y) * (z / v6)). K(x,(a(y,z,u) \ w) * (v5 / v6)) = K(x,w * (v5 / (a(y,z,u) * v6))). K(x,y * (a(z,u,w) \ (v5 / v6))) = K(x,y * (v5 / (a(z,u,w) * v6))). K(x,y * (z / (a(u,w,v5) * v6))) = K(x,y * (a(u,w,v5) \ (z / v6))). x != K(y,z * (T(u,a(w,v5,v6) * (u \ v7)) / (a(w,v5,v6) * v7))) | x = K(y,z * (u / ((u \ (a(w,v5,v6) * v7)) * u))). K(x,y * (a(z,u,w) \ (T(v5,a(z,u,w) * (v5 \ v6)) / v6))) = K(x,y * (v5 / ((v5 \ (a(z,u,w) * v6)) * v5))). K(x,y * (a(z,u,w) \ (T(v5,a(v6,v7,v8) * v9) / v10))) != v11 | K(x,y * (a(z,u,w) \ (T(v5,v9) / v10))) = v11. K(x,y * (a(z,u,w) \ (T(v5,v5 \ v6) / v6))) = K(x,y * (v5 / ((v5 \ (a(z,u,w) * v6)) * v5))). x != K(y,z * (u \ (T(w,w \ v5) / v5))) | x = K(y,z * (u \ (v5 \ w))). K(x,y * (z / ((z \ (a(u,w,v5) * v6)) * z))) = K(x,y * (a(u,w,v5) \ (v6 \ z))). x != K(y,z * (u / (w * u))) | x = K(y,z * ((u * w) \ u)). K(x,y * (a(z,u,w) \ (v5 \ v6))) = K(x,y * ((v6 * (v6 \ (a(z,u,w) * v5))) \ v6)). K(x,y * ((z * (z \ (a(u,w,v5) * v6))) \ z)) = K(x,y * (a(u,w,v5) \ (v6 \ z))). K(x,y * ((a(z,u,w) * v5) \ v6)) = K(x,y * (a(z,u,w) \ (v5 \ v6))). K(x,y * ((z * u) \ w)) = K(x,y * (a(v5,v6,K(z,v7)) \ ((L(z,v6,K(v5,v7)) * u) \ w))). K(x,y * (a(z,u,K(w,v5)) \ ((L(w,u,K(z,v5)) * v6) \ v7))) = K(x,y * ((w * v6) \ v7)). K(x,y * (a(z,u,K(w,v5)) * ((L(z,u,K(w,v5)) * v6) \ v7))) = K(x,y * ((z * v6) \ v7)). K(x,y * ((L(z,u,K(w,v5)) * v6) \ v7)) = K(x,y * ((z * v6) \ v7)). K(x,y * (z \ (z / (z / L(u,w,K(v5,v6)))))) = K(x,y * ((u * (z / L(u,w,K(v5,v6)))) \ L(u,w,K(v5,v6)))). K(x,y * ((z * (u / L(z,w,K(v5,v6)))) \ L(z,w,K(v5,v6)))) = K(x,y * (u \ (u / (u / L(z,w,K(v5,v6)))))). K(x,y * ((z * (u / L(z,w,K(v5,v6)))) \ L(z,w,K(v5,v6)))) = K(x,y * (u \ L(u / (u / z),w,K(v5,v6)))). x != K(y,z * (u \ L(w,v5,K(v6,v7)))) | x = K(y,z * (u \ w)). K(x,y * ((z * (u / L(z,w,K(v5,v6)))) \ L(z,w,K(v5,v6)))) = K(x,y * (u \ (u / (u / z)))). x != K(y,z * (u \ (w / (w / v5)))) | x = K(y,z * (u \ T(v5,w))). K(x,y * ((z * (u / L(z,w,K(v5,v6)))) \ L(z,w,K(v5,v6)))) = K(x,y * (u \ T(z,u))). K(x,y * ((z * (u / L(z,w,K(v5,v6)))) \ L(z,w,K(v5,v6)))) = K(x,y * (z / u)). K(x,y * ((z * (u / L(z,w,K(v5,v6)))) \ z)) = K(x,y * (z / u)). T(x / y,x) * (z / T(x / y,x)) = z * K(y \ x,(y \ x) \ z). T(x / y,x) * (z / T(x / y,x)) != u | (y \ x) * (z / (y \ x)) = u. (x \ y) * (z / (x \ y)) = ((y \ (y / x)) * y) * (z / ((y / x) * K(x \ 1,y))). ((x \ (x / y)) * x) * (z / ((x / y) * K(y \ 1,x))) = (y \ x) * (z / (y \ x)). (K(x,y) / z) * (u / (K(x,y) / z)) != w | (z \ K(x,y)) * (u / (z \ K(x,y))) = w. ((x \ (x / y)) * x) * ((z / (x / y)) * K(x,y \ 1)) = (y \ x) * (z / (y \ x)). T((x / y) * (z / (x / y)),K(x,y)) = (y \ x) * (z / (y \ x)). x != T((y / z) * (u / (y / z)),K(y,z)) | x = u * K(z \ y,(u / y) * z). (x \ y) * (z / (x \ y)) = z * K(x \ y,(z / y) * x). x * K(y \ z,(x / z) * y) = (y \ z) * (x / (y \ z)). x != y * K(z \ u,(y / u) * z) | x = L(z \ u,z,y / u) * ((y / u) * z). (x \ y) * (z / (x \ y)) = L(x \ y,x,z / y) * ((z / y) * x). L(x \ y,x,z / y) * ((z / y) * x) = (x \ y) * (z / (x \ y)). L(x,y,(z \ u) * (w / (z \ u))) = L(x,y,T(w,(w / u) * z)). L(x,y,T(z,(z / u) * w)) = L(x,y,(w \ u) * (z / (w \ u))). L(x,y,T(z,(u \ z) * w)) = L(x,y,(w \ u) * (z / (w \ u))). x != L(y,z,T(u,(w \ u) * v5)) | x = L(y,z,T(u,w \ v5)). L(x,y,(z \ u) * (w / (z \ u))) = L(x,y,T(w,u \ z)). x != L(a(y,z,z \ 1),u,(y \ u) * (w / (y \ u))) | x = R(a(y,z,z \ 1),u,w). L(a(x,y,y \ 1),z,T(u,z \ x)) = R(a(x,y,y \ 1),z,u). x != L(a(y,z,u),w,T(v5,v6)) | x = L(a(y,z,u),w,v5). R(a(x,y,y \ 1),z,u) = L(a(x,y,y \ 1),z,u). (x * y) * L(a(z,u,u \ 1),y,x) = (a(z,u,u \ 1) * x) * y. x * (y * a(z,u,u \ 1)) = (a(z,u,u \ 1) * x) * y. (a(x,y,y \ 1) * z) * u = z * (u * a(x,y,y \ 1)). ((x * a(y,z,z \ 1)) * u) \ (u * (x * a(y,z,z \ 1))) = K(u,x). K(x,y * a(z,u,u \ 1)) = K(x,y). K(x,y / z) = K(x,y * ((u * L(z,w,z)) \ u)). K(x,y * ((z * L(u,w,u)) \ z)) = K(x,y / u). K(x,y \ z) = K(x,((u * L(y,w,y)) \ u) * z). K(x,((y * L(z,u,z)) \ y) * w) = K(x,z \ w). K(x,a(y,z,z \ 1) * u) = K(x,u). x != K(y,(z \ u) * a(u,w,w \ 1)) | x = K(y,z \ L(u,w,w \ 1)). K(x,y \ z) = K(x,y \ L(z,u,u \ 1)). K(x,y \ L(z,u,u \ 1)) = K(x,y \ z). x != K(y,z * a(u \ w,u,u \ 1)) | x = K(y,a(w,u \ 1,u) * z). K(x,y) = K(x,a(z,u \ 1,u) * y). K(x,a(y,z \ 1,z) * u) = K(x,u). x != K(y,a(z,u \ 1,u) * ((z / u) * w)) | x = K(y,(z * (u \ 1)) * w). K(x,(y / z) * u) = K(x,(y * (z \ 1)) * u). K(x,(y * (z \ 1)) * u) = K(x,(y / z) * u). K(x,(y * z) * u) = K(x,(y / (1 / z)) * u). K(x,(y / (1 / z)) * u) = K(x,(y * z) * u). x != K(y,(z / (1 / u)) * w) | x = K(y,(z / (u \ 1)) * w). K(x,(y * z) * u) = K(x,(y / (z \ 1)) * u). K(x,(y / (z \ 1)) * u) = K(x,(y * z) * u). K(x,(y / z) \ u) = K(x,(y * (z \ 1)) \ u). K(x,(y * (z \ 1)) \ u) = K(x,(y / z) \ u). x != K(y,a(z,u,u \ 1) * (w / (((z * u) \ z) \ v5))) | x = K(y,w / ((u \ 1) \ v5)). K(x,y / (((z * u) \ z) \ w)) = K(x,y / ((u \ 1) \ w)). x != K(y,a(z,u,u \ 1) * (((u \ 1) * w) \ v5)) | x = K(y,(L(u \ 1,u,z) * w) \ v5). K(x,((y \ 1) * z) \ u) = K(x,(L(y \ 1,y,w) * z) \ u). K(x,(L(y \ 1,y,z) * u) \ w) = K(x,((y \ 1) * u) \ w). x != K(y,((z * L(u,w,u)) \ v5) * v6) | x = K(y,((z * u) \ v5) * v6). K(x,y \ z) = K(x,((u * y) \ u) * z). K(x,((y * z) \ y) * u) = K(x,z \ u). x != K(y,((z * L(u / z,w,z \ u)) \ z) * v5) | x = K(y,(z / u) * v5). K(x,L(y / z,u,z \ y) \ w) = K(x,(z / y) * w). K(x,(y \ z) * u) = K(x,(z \ y) \ u). K(x,(y \ z) \ u) = K(x,(z \ y) * u). a(x,y,K(z,y \ u)) = K(z,(u \ (y * x)) * (y \ (T(x,y) \ u))). K(x,(y \ (z * u)) * (z \ (T(u,z) \ y))) = a(u,z,K(x,z \ y)). x != K(y,(z \ ((u \ w) \ 1)) \ (z \ T(u,w))) | x = K(y,L(w,u,z \ 1)). K(x,(((y \ z) \ 1) \ u) * (u \ T(y,z))) = K(x,L(z,y,u \ 1)). x != K(y,L(z / u,w,u \ z) \ v5) | x = K(y,(z / u) \ v5). 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) | x = K(y,(z * (u \ 1)) \ w). K(x,(y / z) * u) = K(x,(z * (y \ 1)) \ u). K(x,(y * (z \ 1)) \ u) = K(x,(z / y) * u). x != K(y,z * ((u * L(w,v5,w)) \ v6)) | x = K(y,z * ((u * w) \ v6)). K(x,y / z) = K(x,y * ((u * z) \ u)). K(x,y * ((z * u) \ z)) = K(x,y / u). x != K(y,z * ((u * (w / L(u,v5,K(v6,v7)))) \ u)) | x = K(y,z * (u / w)). K(x,y / (z / L(u,w,K(v5,v6)))) = K(x,y * (u / z)). K(x,y * (z \ u)) = K(x,y / (u \ z)). K(x,y / (z \ u)) = K(x,y * (u \ z)). x != K(y,(z / (u * w)) / ((w * u) \ u)) | x = K(y,(z * (u \ (w \ 1))) * w). K(x,(y / (z * u)) * (z \ (u * z))) = K(x,(y * (z \ (u \ 1))) * u). K(x,(y / (z * u)) * T(u,z)) = K(x,(y * (z \ (u \ 1))) * u). x != K(y,(z / (u * w)) * T(w,u)) | x = K(y,(z / (w * u)) * w). K(x,(y * (z \ (u \ 1))) * u) = K(x,(y / (u * z)) * u). K(x,L(y,z,z \ (u \ 1))) = K(x,((y * z) / (u * z)) * u). K(x,((y * z) / (u * z)) * u) = K(x,L(y,z,z \ (u \ 1))). x != K(y,z / (u / L(w,v5,K(v6,v7)))) | x = K(y,z / (u / w)). K(x,y * (z / u)) = K(x,y / (u / z)). K(x,y / (z / u)) = K(x,y * (u / z)). x != K(y,z / ((z * u) / (w * u))) | x = K(y,z \ (u \ ((u * w) * z))). K(x,y * ((z * u) / (y * u))) = K(x,y \ (u \ ((u * z) * y))). K(x,y \ (z \ ((z * u) * y))) = K(x,y * ((u * z) / (y * z))). x * K(y,x * ((z * u) / (x * u))) = u \ ((u * K(y,z)) * x). K(x,((y * z) / (u * z)) * u) * u = z \ ((z * K(x,y)) * u). K(x,L(y,z,z \ (u \ 1))) * u = z \ ((z * K(x,y)) * u). ((x / T(y,z)) \ 1) * (u / ((x / T(y,z)) \ 1)) != w | ((x / y) \ K(y,z)) * (u / ((x / y) \ K(y,z))) = w. ((x / y) \ K(y,z)) * (u / ((x / y) \ K(y,z))) = (T(y,z) / x) * (u / (T(y,z) / x)). (((x * T(y,z)) / y) \ K(y,z)) * (u / (((x * T(y,z)) / y) \ K(y,z))) = (((x * T(y,z)) \ T(y,z)) * K(x * T(y,z),x \ 1)) * (u / (T(y,z) / (x * T(y,z)))). ((x * K(y,z)) \ K(y,z)) * (u / (((x * T(y,z)) / y) \ K(y,z))) = (((x * T(y,z)) \ T(y,z)) * K(x * T(y,z),x \ 1)) * (u / (T(y,z) / (x * T(y,z)))). (((x * T(y,z)) \ T(y,z)) * K(x * T(y,z),x \ 1)) * (u / (T(y,z) / (x * T(y,z)))) = ((x * K(y,z)) \ K(y,z)) * (u / (((x * T(y,z)) / y) \ K(y,z))). (((x * T(y,z)) \ T(y,z)) * K(x * T(y,z),x \ 1)) * (u / (T(y,z) / (x * T(y,z)))) = T(x \ 1,K(y,z)) * (u / (((x * T(y,z)) / y) \ K(y,z))). (((x * T(y,z)) \ T(y,z)) * K(x * T(y,z),x \ 1)) * (u / (T(y,z) / (x * T(y,z)))) = T(x \ 1,K(y,z)) * (u / ((x * K(y,z)) \ K(y,z))). (((x * T(y,z)) \ T(y,z)) * K(x * T(y,z),x \ 1)) * (u / (T(y,z) / (x * T(y,z)))) = T(x \ 1,K(y,z)) * (u / T(x \ 1,K(y,z))). x != T(y,K(z,u)) * (w / T(y,K(z,u))) | x = y * (w / y). (((x * T(y,z)) \ T(y,z)) * K(x * T(y,z),x \ 1)) * (u / (T(y,z) / (x * T(y,z)))) = (x \ 1) * (u / (x \ 1)). (x / (y * x)) * (z / (T(x,u) / (y * T(x,u)))) = (y \ 1) * (z / (y \ 1)). (x / (y * x)) * (z / (x / (y * x))) = (y \ 1) * (z / (y \ 1)). x != (y / (z * y)) * (u / (y / (z * y))) | x = R(z \ 1,z,y) * (u / R(z \ 1,z,y)). (x \ 1) * (y / (x \ 1)) = R(x \ 1,x,z) * (y / R(x \ 1,x,z)). R(x \ 1,x,y) * (z / R(x \ 1,x,y)) = (x \ 1) * (z / (x \ 1)). R(x \ 1,x,y) \ ((x \ 1) * (z / (x \ 1))) = (a(x \ 1,x,y) \ z) / (x \ 1). R(x \ 1,x,y) \ ((x \ 1) * z) = (a(x \ 1,x,y) \ (z * (x \ 1))) / (x \ 1). (a(x \ 1,x,y) \ (z * (x \ 1))) / (x \ 1) = R(x \ 1,x,y) \ ((x \ 1) * z). x != R(y,z,u) \ (y * w) | x = y * (R(y,z,u) \ w). (a(x \ 1,x,y) \ (z * (x \ 1))) / (x \ 1) = (x \ 1) * (R(x \ 1,x,y) \ z). x != (y \ 1) * (R(y \ 1,y,z) \ u) | x = a(y \ 1,y,z) \ u. (a(x \ 1,x,y) \ (z * (x \ 1))) / (x \ 1) = a(x \ 1,x,y) \ z. (x * (y \ 1)) / R(y \ 1,y,z) = a(y \ 1,y,z) \ x. x != (((1 / y) \ z) * (y \ 1)) / R(y \ 1,y,z) | x = y * z. a(x \ 1,x,y) \ ((1 / x) \ y) = x * y. x * y != a(z \ 1,z,u) \ ((1 / z) \ u) | (z * u) / y = x. (x * y) / ((1 / x) \ y) = a(x \ 1,x,y) \ 1. (a(x \ 1,x,y) \ 1) \ T(x * y,z) = T((1 / x) \ y,z). x != (a(y \ 1,y,z) \ 1) \ u | x = a(y \ 1,y,z) * u. T((1 / x) \ y,z) = a(x \ 1,x,y) * T(x * y,z). a(x \ 1,x,y) * T(x * y,z) = T((1 / x) \ y,z). K(x,y / T((1 / z) \ u,w)) = K(x,a(z \ 1,z,u) \ (y / T(z * u,w))). K(x,a(y \ 1,y,z) \ (u / T(y * z,w))) = K(x,u / T((1 / y) \ z,w)). x != K(y,z / T((1 / u) \ w,v5)) | x = K(y,z / T((u \ 1) \ w,v5)). K(x,a(y \ 1,y,z) \ (u / T(y * z,w))) = K(x,u / T((y \ 1) \ z,w)). K(x,y / T((z \ 1) \ u,w)) = K(x,a(u,z,z \ 1) * (y / T(z * u,w))). K(x,a(y,z,z \ 1) * (u / T(z * y,w))) = K(x,u / T((z \ 1) \ y,w)). K(x,(y / T(z * u,w)) * a(u,z,z \ 1)) = K(x,y / T((z \ 1) \ u,w)). x != K(y,z / T(u,z)) | x = K(y,u \ z). K(x,(y / T(z * u,y)) * a(u,z,z \ 1)) = K(x,((z \ 1) \ u) \ y). x != K(y,z / T(u,y)) | x = K(y,z / u). K(x,(y / T(z * u,x)) * a(u,z,z \ 1)) = K(x,y / ((z \ 1) \ u)). K(x,(y / (z * u)) * a(u,z,z \ 1)) = K(x,y / ((z \ 1) \ u)). x != K(y,z * a(u,w,w \ 1)) | x = K(y,z). K(x,y / ((z \ 1) \ u)) = K(x,y / (z * u)). x != K(y,z / ((u \ 1) \ w)) | x = K(y,z / (((v5 * u) \ v5) \ w)). K(x,y / (z * u)) = K(x,y / (((w * z) \ w) \ u)). K(x,y / (((z * u) \ z) \ w)) = K(x,y / (u * w)). K(x,y / ((z \ u) \ w)) = K(x,y / ((u \ z) * w)). K(x,y / (z \ u)) = K(x,y / ((z \ 1) * u)). K(x,y / ((z \ 1) * u)) = K(x,y / (z \ u)). K(x,L(y,z \ 1,u)) = K(x,((y / z) * u) / (z \ u)). K(x,((y / z) * u) / (z \ u)) = K(x,L(y,z \ 1,u)). x != K(y,z / (u \ w)) | x = K(y,z * (w \ u)). K(x,L(y,z \ 1,u)) = K(x,((y / z) * u) * (u \ z)). K(x,((y / z) * u) * (u \ z)) = K(x,L(y,z \ 1,u)). K(x,y / ((z \ u) * w)) = K(x,y * (w \ (u \ z))). x != K(y,(z \ (u * w)) / ((z \ T(w,u)) * u)) | x = a(z,w,K(y,u)). K(x,(y \ (z * u)) * (z \ (T(u,z) \ y))) = a(y,u,K(x,z)). x != K(y,(z \ (u * w)) * (u \ (T(w,u) \ z))) | x = a(w,u,K(y,u \ z)). a(x,y,K(z,u)) = a(y,u,K(z,u \ x)). a(x,y,K(z,y \ u)) = a(u,x,K(z,y)). a(x,y,K(y \ z,u)) = a(y,x,K(u,z)). a(x,y,K(y \ z,u)) = a(z,x,K(y,u)). x * a(y,y \ x,K(z,u)) = x * a(z,u,K(x \ y,u \ y)). x * a(y,z,K(x \ u,z \ u)) = x * a(u,u \ x,K(y,z)). a(x,y,K(z,y \ u)) = a(u,z,K(y,x)). L(x,y,z) * (u * a(w,x,K(v5,v6))) = L(L(x,y,z),v5,K(v5 \ w,v6)) * u. L(L(x,y,z),u,K(u \ w,v5)) * v6 = L(x,y,z) * (v6 * a(w,x,K(u,v5))). x * a(y,z,K(x \ u,z \ u)) = x * a(u,x,K(y,z)). x * a(y,z,K(x \ y,u)) = x * a(y,x,K(z,u)). x * a(x,y,K(z,u)) = x * a(z,x,K(y,u)). x * a(y,x,K(z,u)) = x * a(x,z,K(y,u)). a(x,y,K(z,u)) = a(z,x,K(y,u)). x * a(y,x,K(z,u)) = T(x,a(y,z,u) \ x). a(x,y,K(z,u)) = a(z * u,x,K(y,u)). a(x * y,z,K(u,y)) = a(z,u,K(x,y)). a(a(x,y,z) \ u,y,K(z,x)) = a(z,u,K(y,x)). x != a(y,z,K(u,w)) | x = a(z,u,K(u \ y,w)). a(x,y,K(z,u)) = a(x,y,K(y \ z,u)). a(x,y,K(y \ z,u)) = a(x,y,K(z,u)). x != a(y,z,K(u,w)) | x = K(w,y) * K(y,L(w,z,u)). a(x,y,K(z,u)) = K(u,z) * K(z,L(u,x,y)). K(x,y) * K(y,L(x,z,u)) = a(z,u,K(y,x)). a(x,y,z) \ a(y,x,K(z,u)) = T(a(x,y,z),u) \ 1. x * a(y,z,K(u,w)) = x * a(w,y,K(u,z)). T(L(x,y,z) * a(u,x,K(w,v5)),a(v5,w,u) \ 1) = R(L(x,y,z),a(v5,w,u) \ 1,L(x,y,z)). T(x,y) * a(z,u,K(x,y)) = x * K(x,L(y,z,u)). x \ a(y,z,K(u,w)) = (x \ K(w,u)) * K(u,L(w,y,z)). (x \ K(y,z)) * K(z,L(y,u,w)) = x \ a(u,w,K(z,y)). L(x,y,K(z,u)) = x * a(u,x,K(z,y)). x * a(y,x,K(z,u)) = L(x,u,K(z,y)). x != (y \ z) * a(u,w,K(z,v5)) | x = y \ L(z,w,K(v5,u)). (x \ y) * a(z,u,K(y,w)) = x \ L(y,w,K(z,u)). a(x,y,K(z,u)) * (w \ z) = w \ L(z,u,K(x,y)). a(x,y,K(z,u)) * w != T(a(u,y,z),T(x,v5)) \ v6 | w = a(u,y,z) \ v6. T(a(x,y,z),T(u,w)) \ z = a(x,y,z) \ L(z,x,K(u,y)). T(a(x,y,z),u) \ z = a(x,y,z) \ L(z,x,K(u,y)). a(x,y,z) \ L(z,x,K(u,y)) = T(a(x,y,z),u) \ z. x != y * a(z,y,K(u,w)) | x = L(y,w,K(u,z)). T(x,a(y,z,u) \ x) = L(x,u,K(z,y)). L(x,y,K(z,u)) = L(x,u,K(y,z)). x != T(y,a(z,u,w) \ y) | x = (a(w,u,z) \ y) * a(w,u,z). L(x,y,K(z,u)) = (a(y,z,u) \ x) * a(y,z,u). (a(x,y,z) \ u) * a(x,y,z) = L(u,x,K(y,z)). x * y != T(z,a(u,w,v5) \ z) | x \ L(z,v5,K(w,u)) = y. a(x,y,z) \ L(u,z,K(y,x)) = u / a(x,y,z). L(x,y,K(z,u)) != w | L(x,z,K(u,y)) = w. L(x,y,K(z,u)) / a(y,z,u) != w | w = a(y,z,u) \ x. L(x,y,K(z,u)) / a(y,z,u) != w | a(y,z,u) \ x = w. T(x,a(y,z,u)) = L(x,y,K(z,u)). L(T(x,y),z,K(y,u)) = T(x,L(y,u,z)). L(x,y \ 1,K(z,u)) = L(x,u,K(z,y)). x != L(y,z,K(u,u \ w)) | x = L(y,z,K(u,w)). L(x,y,K(y \ z,u)) = L(x,u,K(y,z)). x * y != L(z,u,K(w,v5)) | L(z,w,K(v5,u)) / y = x. L(x,y,K(z,u)) / a(z,u,y) = a(z,u,y) \ x. ((x * y) * z) / a(y,x,z) = a(y,x,z) \ ((x * y) * z). x * (T(y,x) * z) = a(x,y,z) \ ((y * x) * z). a(x,y,z) \ ((y * x) * z) = x * (T(y,x) * z). K(x,(y * z) \ (z * (T(y,z) * u))) = K(x,a(z,y,u) \ u). K(x,a(y,z,u) \ u) = K(x,(z * y) \ (y * (T(z,y) * u))). T(x,a(y,z,u)) = L(x,L(y,w,v5),K(z,u)). L(x,L(y,z,u),K(w,v5)) = T(x,a(y,w,v5)). L(a(x,y,z) \ u,z,K(y,x)) != w | u / a(x,y,z) = w. L(x,y,K(z,u)) * ((x * a(y,z,u)) \ x) = x * T(a(y,z,u) \ 1,x). L(L(x,y,z),u,K(w,v5)) * v6 = L(x,y,z) * (v6 * a(v5,x,K(w,u))). L(x,y,z) * (u * a(w,x,K(v5,v6))) = L(L(x,y,z),v6,K(v5,w)) * u. L(x,y,K(z,u)) * ((x * a(y,z,u)) \ x) = (a(y,z,u) \ 1) * x. K(x,a(y,z,u) \ u) = K(x,L(u,z,y)). x / (K(y,L(z,u,w)) * x) = K(a(w,u,z) \ z,y). K(a(x,y,z) \ z,u) = w / (K(u,L(z,y,x)) * w). K(a(x,y,z) \ z,u) = K(L(z,y,x),u). K(a(x,y,z) \ z,u) = K(z,L(u,y,x)). L(x,y,K(z,u)) * a(w,x,K(v5,v6)) = (a(v6,v5,w) \ L(x,y,K(z,u))) * a(v6,v5,w). L(x,y,K(z,u)) * a(y,x,K(z,u)) = (x / a(u,z,y)) * a(u,z,y). L(x,y,K(z,u)) * a(y,x,K(z,u)) = x. T(x,a(y,z,u) \ 1) = R(L(x,u,K(z,y)),a(y,z,u) \ 1,L(x,u,K(z,y))). R(L(x,y,K(z,u)),a(u,z,y) \ 1,L(x,y,K(z,u))) = T(x,a(u,z,y) \ 1). x != R(y,a(z,u,w) \ 1,y) | x = y. T(x,a(y,z,u) \ 1) = L(x,u,K(z,y)). x * (a(y,z,u) \ 1) = L(a(y,z,u) \ x,u,K(z,y)). L(a(x,y,z) \ u,z,K(y,x)) = u * (a(x,y,z) \ 1). x / a(y,z,u) = x * (a(y,z,u) \ 1). x * (a(y,z,u) \ 1) = x / a(y,z,u). T(x,y / (z * (a(u,w,v5) \ 1))) = T(x,y / (a(u,w,v5) \ z)). x != y / a(z,a(u,w,v5),v6) | x = a(z,a(u,w,v5),v6) \ y. x * (a(y,a(z,u,w),v5) \ 1) = a(y,a(z,u,w),v5) \ x. x != y / a(z,u,y) | x = a(z,u,y) \ y. x * (a(y,z,x) \ 1) = a(y,z,x) \ x. x * y != z / a(u,w,z) | x \ (a(u,w,z) \ z) = y. x \ (a(y,z,x) \ x) = a(y,z,x) \ 1. (x * a(y,z,u)) \ x = a(y,z,u) \ 1. L(x,y,K(z,u)) * (a(y,z,u) \ 1) = (a(y,z,u) \ 1) * x. x != y * (a(z,u,w) \ 1) | x = y / a(z,u,w). (a(x,y,z) \ 1) * u = L(u,x,K(y,z)) / a(x,y,z). L(x,y,K(z,u)) / a(y,z,u) = (a(y,z,u) \ 1) * x. a(x,y,z) \ u = (a(x,y,z) \ 1) * u. (a(x,y,z) \ 1) * u = a(x,y,z) \ u. (a(x,y,z) \ 1) \ u = a(x,y,z) * u. (x \ 1) * y != x \ L(z,x \ 1,x) | y = z. L(x,a(y,z,u) \ 1,a(y,z,u)) = x. ((x * a(y,z,u)) \ x) \ w = a(y,z,u) * w. x * y != L(z,a(u,w,v5) \ 1,a(u,w,v5)) | x \ z = y. T(a(x,y,z),u) \ w = (T(a(x,y,z),u) \ 1) * w. (T(a(x,y,z),u) \ 1) * w = T(a(x,y,z),u) \ w. (a(x,y,z) \ 1) \ u != w | a(x,y,z) * u = w. K(x,y) * a(x,z,K(u,y)) = K(x,L(y,z,z \ u)). K(x,L(y,z,z \ u)) = K(x,y) * a(x,z,K(u,y)). x != K(y,z) * a(y,u,K(w,z)) | x = K(y,L(z,u,w)). K(x,L(y,z,z \ u)) = K(x,L(y,z,u)). K(x,L(y,z,z \ u)) != w | K(x,L(y,z,u)) = w. K(x,L(y,z,u \ z)) = K(x,L(y,z,u \ 1)). K(x,L(y,z,u \ 1)) = K(x,L(y,z,u \ z)). K(x,L(y,z,u)) = K(x,L(y,u,z \ u)). K(x,L(y,z,u \ z)) = K(x,L(y,u,z)). x != K(y,L(z,u,w \ u)) | x = K(y,L(z,u,w \ 1)). K(x,L(y,z,u)) = K(x,L(y,u,z \ 1)). K(x,L(y,z,u \ 1)) = K(x,L(y,u,z)). x != K(y,L((z * K(u,w)) \ v5,w,z \ w)) | x = K(y,w \ ((T(w,u) / z) * v5)). K(x,L((y * K(z,u)) \ w,y,u)) = K(x,u \ ((T(u,z) / y) * w)). x * K(x,L(y,z,u)) = T(x,L(y,u,z \ u)). T(x,L(y,z,u \ z)) = x * K(x,L(y,u,z)). K(x,L((y * z) \ u,y,z)) = K(x,z \ (y \ u)). (a(x,y,z) \ z) * ((T((a(x,y,z) \ z) \ z,u) \ 1) * ((a(x,y,z) \ z) \ z)) = z * (T((a(x,y,z) \ 1) \ 1,u) \ 1). (a(x,y,z) \ z) * ((T(a(x,y,z),u) \ 1) * ((a(x,y,z) \ z) \ z)) = z * (T((a(x,y,z) \ 1) \ 1,u) \ 1). (a(x,y,z) \ z) * ((T(a(x,y,z),u) \ 1) * a(x,y,z)) = z * (T((a(x,y,z) \ 1) \ 1,u) \ 1). (a(x,y,z) \ z) * (T(a(x,y,z),u) \ a(x,y,z)) = z * (T((a(x,y,z) \ 1) \ 1,u) \ 1). (a(x,y,z) \ z) * K(u,a(x,y,z)) = z * (T((a(x,y,z) \ 1) \ 1,u) \ 1). (a(x,y,z) \ z) * a(u,y,K(z,x)) = z * (T((a(x,y,z) \ 1) \ 1,u) \ 1). x != (y \ z) * a(u,w,K(z,v5)) | x = y \ L(z,v5,K(u,w)). x * (T((a(y,z,x) \ 1) \ 1,u) \ 1) = a(y,z,x) \ L(x,y,K(u,z)). a(x,y,z) \ L(z,x,K(u,y)) = z * (T((a(x,y,z) \ 1) \ 1,u) \ 1). x != a(y,z,u) \ L(u,y,K(w,z)) | x = T(a(y,z,u),w) \ u. x * (T((a(y,z,x) \ 1) \ 1,u) \ 1) = T(a(y,z,x),u) \ x. x * (T(a(y,z,x),u) \ 1) = T(a(y,z,x),u) \ x. T(x,y) * a(z,u,K(x,y)) = T(x,L(y,z,u)). K(x,(a(y,a(z,u,w),v5) \ v6) \ v7) = K(x,v6 \ v7). K(x,y * (a(z,a(u,w,v5),v6) * v7)) = K(x,(y \ 1) \ v7). K(x,y * (a(z,a(u,w,v5),v6) * v7)) = K(x,y * v7). K(x,y * ((z * a(u,w,v5)) * v6)) = K(x,y * (z * (a(u,w,v5) * v6))). x != K(y,(z \ K(u,w)) * (v5 * T(u,w))) | x = K(y,z \ (v5 * u)). K(x,(y \ K(z,u)) * (w * (a(v5,v6,v7) * T(z,u)))) = K(x,y \ ((w * a(v5,v6,v7)) * z)). K(x,K(y,z) * (u \ (w * (a(v5,v6,v7) * T(y,z))))) = K(x,u \ ((w * a(v5,v6,v7)) * y)). K(x,y \ ((z * a(u,w,v5)) * v6)) = K(x,y \ (T(z,v6) * (a(u,w,v5) * T(v6,z)))). K(x,y \ (T(z,u) * (a(w,v5,v6) * T(u,z)))) = K(x,y \ ((z * a(w,v5,v6)) * u)). K(x,y \ T(z * (a(u,w,v5) * v6),K(z,v6))) = K(x,y \ ((z * a(u,w,v5)) * v6)). K(x,y \ (z * (a(u,w,v5) * v6))) = K(x,y \ ((z * a(u,w,v5)) * v6)). K(x,y \ ((z * a(u,w,v5)) * v6)) = K(x,y \ (z * (a(u,w,v5) * v6))). x != K(y,(z * u) \ (((z * u) * a(y,z,u)) * w)) | x = K(y,w). K(x,(y * z) \ ((y * z) * (a(x,y,z) * u))) = K(x,u). K(x,a(x,y,z) * u) = K(x,u). (x * K(y,z)) \ x = K(a(y,u,w) * z,y). K(a(x,y,z) * u,x) = (w * K(x,u)) \ w. x != (K(y,z) * K(u,w)) \ K(u,w) | x = K(z,y). K(a(x,y,z) * u,x) = K(u,x). T(x * K(y,x),y) = R(x,a(x,z,u),y). R(x,a(x,y,z),u) = x. x * (a(x,y,z) * u) = (x * a(x,y,z)) * u. (x * a(x,y,z)) * u = x * (a(x,y,z) * u). (x * y) / (a(x,z,u) \ y) = x * a(x,z,u). (x * ((y * x) * z)) / (x * (T(y,x) * z)) = x * a(x,y,z). x != (y * ((z * y) * u)) / (y * (T(z,y) * u)) | x = R(y,z,u). x * a(x,y,z) = R(x,y,z). a(x,y,z) * x = R(x,y,z). (x \ 1) * y != R(x \ 1,z,u) | y = x * R(x \ 1,z,u). a(x \ 1,y,z) = x * R(x \ 1,y,z). x * R(x \ 1,y,z) = a(x \ 1,y,z). K(x \ R(x,y,z),u) = K(a(x,y,z),u). (R(x,y,z) \ x) \ u = a(x,y,z) * u. R(x,y,z) * u = x * (a(x,y,z) * u). x * (a(x,y,z) * u) = R(x,y,z) * u. a(x,y,z) \ u = (R(x,y,z) \ x) * u. (R(x,y,z) \ x) * u = a(x,y,z) \ u. x * y != R(L(z,u,w),v5,v6) | x \ L(R(z,v5,v6),u,w) = y. a(L(x,y,z),u,w) \ L(R(x,u,w),y,z) = L(x,y,z). x != L(y,z,u) * R(L(y,z,u) \ 1,w,v5) | x = (u * z) \ (u * (z * (y * R(y \ 1,w,v5)))). a(L(x,y,z) \ 1,u,w) = (z * y) \ (z * (y * (x * R(x \ 1,u,w)))). (x * y) \ (x * (y * (z * R(z \ 1,u,w)))) = a(L(z,y,x) \ 1,u,w). a((x \ y) \ 1,z,u) = x \ (y * R(y \ x,z,u)). x \ (y * R(y \ x,z,u)) = a((x \ y) \ 1,z,u). (x * y) \ (x * (y * a(z \ 1,u,w))) = a(L(z,y,x) \ 1,u,w). L(a(x \ 1,y,z),u,w) = a(L(x,u,w) \ 1,y,z). x * y != R(x,z,u) * w | y = R(x,z,u) * (x \ w). a(x,y,z) * u = R(x,y,z) * (x \ u). R(x,y,z) * (x \ u) = a(x,y,z) * u. x != R(y \ z,u,w) * ((y \ z) \ z) | x = T(y * R(y \ z,u,w),z). a(x \ y,z,u) * y = T(x * R(x \ y,z,u),y). T(x * R(x \ y,z,u),y) = a(x \ y,z,u) * y. x != L(y,z,K(u,w \ T(v5,v6))) | x = L(y,z,K(v5 \ w,u)). T(x,L(y,z \ T(u,w),v5)) = L(T(x,y),v5,K(u \ z,y)). x != L(y,z,K(u,w \ K(v5,v6))) | x = L(y,z,K(w,u)). T(x,L(y,z \ K(u,w),v5)) = L(T(x,y),v5,K(z,y)). T(x,L(y,z \ T(u,w),v5)) = T(x,L(y,v5,u \ z)). K(x \ R(x,y,z),u) = a(x,y,K(z,u)). a(x,y,K(z,u)) * (x \ R(x,y,z)) = T(x \ R(x,y,z),u). K(x,T(y \ R(y,z,u),w)) = K(x,y \ R(y,z,u)). T(x,L(y,z,u \ z)) = T(x,L(y,u,z)). x != T(y,a(z,u,w)) | x = L(y,z,K(u,w)). L(x,L(y,z,u),K(w,v5)) = L(x,y,K(w,v5)). L(x,L(y,z,u),K(y,w)) != v5 | v5 = x. x * K(x,L(y,z,u)) = T(x,L(y,z,z \ u)). T(x,L(y,z,z \ u)) = x * K(x,L(y,z,u)). T(x,L(y,z,z \ u)) != w | T(x,L(y,z,u)) = w. T(x,y / (z * (a(u,w,v5) \ 1))) != v6 | T(x,(z / y) \ a(u,w,v5)) = v6. T(x,L(y,z \ K(u,w),v5)) = T(x,L(y,v5,z)). T(x,L(y,z \ 1,u)) = T(x,L(y,u,z)). T(x,L((y / z) / (u \ 1),z,u)) = T(x,y / ((u \ 1) * z)). T(x,(y / z) / (a(u,w,v5) \ 1)) = T(x,y / ((a(u,w,v5) \ 1) * z)). T(x,y / ((a(z,u,w) \ 1) * v5)) = T(x,(y / v5) * a(z,u,w)). x != T(y,z / ((a(u,w,v5) \ 1) * v6)) | x = T(y,z / L(v6 * (a(u,w,v5) \ 1),w,K(v5,u))). T(x,(y / z) * a(u,w,v5)) = T(x,y / L(z * (a(u,w,v5) \ 1),w,K(v5,u))). T(x,y / L(z * (a(u,w,v5) \ 1),w,K(v5,u))) = T(x,(y / z) * a(u,w,v5)). T(x,y / (z * (a(u,w,v5) \ 1))) = T(x,(y / z) * a(u,w,v5)). T(x,(y / z) \ a(u,w,v5)) = T(x,(z / y) * a(u,w,v5)). x != T(y,((z * (u / z)) / z) \ a(w,v5,v6)) | x = T(y,u \ (z * a(w,v5,v6))). T(x,(y / (y * (z / y))) * a(u,w,v5)) = T(x,z \ (y * a(u,w,v5))). x != T(y,(z / (z * u)) * w) | x = T(y,((u * z) \ z) * w). T(x,y \ (z * a(u,w,v5))) = T(x,(((y / z) * z) \ z) * a(u,w,v5)). T(x,(((y / z) * z) \ z) * a(u,w,v5)) = T(x,y \ (z * a(u,w,v5))). T(x,(y \ z) * a(u,w,v5)) = T(x,y \ (z * a(u,w,v5))). T(x,y \ (z * a(u,w,v5))) = T(x,(y \ z) * a(u,w,v5)). x != T(y,z \ (u * a(w,v5,v6))) | x = T(y,z \ (a(w,v5,v6) * u)). T(x,(y \ z) * a(u,w,v5)) = T(x,y \ (a(u,w,v5) * z)). T(x,y \ (a(z,u,w) * v5)) = T(x,(y \ v5) * a(z,u,w)). x != T(y,(z \ u) \ (a(w,v5,v6) * v7)) | x = T(y,((a(w,v5,v6) * z) \ u) \ v7). T(x,((y \ z) \ u) * a(w,v5,v6)) = T(x,((a(w,v5,v6) * y) \ z) \ u). T(x,((a(y,z,u) * w) \ v5) \ v6) = T(x,((w \ v5) \ v6) * a(y,z,u)). T(x,y \ z) = T(x,(y \ (a(u,w,v5) \ z)) * a(u,w,v5)). T(x,(y \ (a(z,u,w) \ v5)) * a(z,u,w)) = T(x,y \ v5). K(x,L((y * K(z,u)) \ w,y / u,u * K(z,u))) = K(x,(u * K(z,u)) \ ((y / u) \ w)). K(x,L((y * K(z,u)) \ w,y / u,T(u,z \ u))) = K(x,(u * K(z,u)) \ ((y / u) \ w)). K(x,L((y * K(z,u)) \ w,u \ y,T(u,z \ u))) = K(x,(u * K(z,u)) \ ((y / u) \ w)). K(x,L((y * K(z,u)) \ w,u \ y,u)) = K(x,(u * K(z,u)) \ ((y / u) \ w)). K(x,L((y * K(z,u)) \ w,y,u)) = K(x,(u * K(z,u)) \ ((y / u) \ w)). x != K(y,L((z * K(u,w)) \ v5,z,w)) | x = K(y,w \ ((T(w,u) / z) * v5)). K(x,(y * K(z,y)) \ ((u / y) \ w)) = K(x,y \ ((T(y,z) / u) * w)). K(x,K(y,z) * (y \ ((u / y) \ w))) = K(x,y \ ((T(y,z) / u) * w)). K(x,y \ ((z / y) \ u)) = K(x,y \ ((T(y,K(w,v5)) / z) * u)). K(x,y \ ((T(y,K(z,u)) / w) * v5)) = K(x,y \ ((w / y) \ v5)). K(x,y \ ((y / z) * u)) = K(x,y \ ((z / y) \ u)). K(x,y \ ((z / y) \ u)) = K(x,y \ ((y / z) * u)). x * K(x,y \ ((y / z) * u)) = T(x,y \ ((z / y) \ u)). T(x,y \ ((y / z) * u)) = T(x,y \ ((z / y) \ u)). T(x,y \ ((z / y) \ u)) = T(x,y \ ((y / z) * u)). T(x,(y \ z) \ (y \ u)) = T(x,(y \ z) \ (((y \ z) / z) * u)). T(x,(y \ z) \ (((y \ z) / z) * u)) = T(x,(y \ z) \ (y \ u)). T(x,L(y,z,z \ (u \ z))) = T(x,(u \ z) \ (u \ (z * y))). T(x,L(y,z,u \ z)) = T(x,(u \ z) \ (u \ (z * y))). T(x,(y \ z) \ (y \ (z * u))) = T(x,L(u,z,y \ z)). x != T(y,L(z,u,w \ u)) | x = T(y,L(z,w,u)). T(x,(y \ z) \ (y \ (z * u))) = T(x,L(u,y,z)). T(x,((a(y,z,u) * w) \ v5) \ (a(y,z,u) \ (w \ (v5 * v6)))) = T(x,L(v6,a(y,z,u) * w,v5)). x != T(y,((a(z,u,w) * v5) \ v6) \ v7) | x = T(y,((v5 \ v6) \ v7) * a(z,u,w)). T(x,L(y,a(z,u,w) * v5,v6)) = T(x,((v5 \ v6) \ (a(z,u,w) \ (v5 \ (v6 * y)))) * a(z,u,w)). T(x,((y \ z) \ (a(u,w,v5) \ (y \ (z * v6)))) * a(u,w,v5)) = T(x,L(v6,a(u,w,v5) * y,z)). x != T(y,(z \ (a(u,w,v5) \ v6)) * a(u,w,v5)) | x = T(y,z \ v6). T(x,L(y,a(z,u,w) * v5,v6)) = T(x,(v5 \ v6) \ (v5 \ (v6 * y))). x != T(y,(z \ u) \ (z \ (u * w))) | x = T(y,L(w,z,u)). T(x,L(y,a(z,u,w) * v5,v6)) = T(x,L(y,v5,v6)). x != T(y,L(z,u * w,v5)) | x = T(y,L(z,w * u,v5)). T(x,L(y,z,u)) = T(x,L(y,z * a(w,v5,v6),u)). T(x,L(y,z * a(u,w,v5),v6)) = T(x,L(y,z,v6)). x \ L(x * y,z,K(u,x)) = K(u,z) * ((1 / x) * ((K(u,z) / x) \ y)). K(x,y) * ((1 / z) * ((K(x,y) / z) \ u)) = L(z \ (z * u),y,K(x,z)). L(x \ (x * y),z,K(u,x)) = K(u,z) * ((1 / x) * ((K(u,z) / x) \ y)). L(x,y,K(z,u)) = K(z,y) * ((1 / u) * ((K(z,y) / u) \ x)). K(x,y) * ((1 / z) * ((K(x,y) / z) \ u)) = L(u,y,K(x,z)). K(x,((y * z) \ u) * a(z,y,y \ 1)) = K(x,((y \ 1) \ z) \ u). K(x,((y \ 1) \ z) \ u) = K(x,(y * z) \ u). x != K(y,((L(z \ 1,z,u) \ 1) \ w) \ v5) | x = K(y,a(u,z,z \ 1) * ((z \ w) \ v5)). K(x,(L(y \ 1,y,z) * u) \ w) = K(x,a(z,y,y \ 1) * ((y \ u) \ w)). K(x,a(y,z,z \ 1) * ((z \ u) \ w)) = K(x,(L(z \ 1,z,y) * u) \ w). x != K(y,(L(z \ 1,z,u) * w) \ v5) | x = K(y,((z \ 1) * w) \ v5). K(x,a(y,z,z \ 1) * ((z \ u) \ w)) = K(x,((z \ 1) * u) \ w). K(x,(y \ z) \ u) = K(x,((y \ 1) * z) \ u). K(x,((y \ 1) * z) \ u) = K(x,(y \ z) \ u). x != K(y,(z \ u) \ w) | x = K(y,(u \ z) * w). K(x,((y \ 1) * z) \ u) = K(x,(z \ y) * u). x != K(y,(z * (u \ 1)) \ w) | x = K(y,(u / z) * w). K(x,((y \ 1) \ z) * u) = K(x,(y / (z \ 1)) * u). K(x,(y / (z \ 1)) * u) = K(x,((y \ 1) \ z) * u). x != K(y,(z / (u \ 1)) * w) | x = K(y,(z * u) * w). K(x,((y \ 1) \ z) * u) = K(x,(y * z) * u). x != K(y,(((z \ u) \ 1) \ w) * (w \ T(z,u))) | x = K(y,L(u,z,w \ 1)). K(x,((y \ z) * u) * (u \ T(y,z))) = K(x,L(z,y,u \ 1)). K(x,(y * z) * R(u,z,y)) = K(x,y * T(u * z,z)). x != K(y,z * T(u * w,w)) | x = K(y,z * (w * u)). K(x,(y * z) * R(u,z,y)) = K(x,y * (z * u)). K(x,y * R(z,u,y / u)) = K(x,(y / u) * (u * z)). K(x,y * R(z,u,u \ y)) = K(x,(y / u) * (u * z)). K(x,((y / z) * u) * (u \ z)) = K(x,(z / u) * (u * (z \ y))). x != K(y,((z / u) * w) * (w \ u)) | x = K(y,L(z,u \ 1,w)). K(x,(y / z) * (z * (y \ u))) = K(x,L(u,y \ 1,z)). K(x,(y * z) * (z \ (y \ u))) = K(x,((y \ u) / z) * (z * ((y \ u) \ u))). K(x,((y \ z) / u) * (u * ((y \ z) \ z))) = K(x,(y * u) * (u \ (y \ z))). x != K(y,z * (u * ((w \ v5) \ v5))) | x = K(y,z * (u * T(w,v5))). K(x,(y * z) * (z \ (y \ u))) = K(x,((y \ u) / z) * (z * T(y,u))). K(x,((y \ z) / u) * (u * T(y,z))) = K(x,(y * u) * (u \ (y \ z))). K(x,(((T(y,z \ y) / z) \ y) / u) * (u * (y / z))) = K(x,((T(y,z \ y) / z) * u) * (u \ ((T(y,z \ y) / z) \ y))). K(x,((T(y,z \ y) / z) * u) * (u \ ((T(y,z \ y) / z) \ y))) = K(x,(((T(y,z \ y) / z) \ y) / u) * (u * (y / z))). K(x,((T(y,z \ y) / z) * u) * (u \ ((T(y,z \ y) / z) \ y))) = K(x,((z * K(z \ y,y)) / u) * (u * (y / z))). K(x,((T(y,z \ y) / z) * u) * (u \ ((T(y,z \ y) / z) \ y))) = K(x,(K(z \ y,y) * (z / u)) * (u * (y / z))). x != K(y,(K(z,u) * w) * v5) | x = K(y,w * (v5 * K(z,u))). K(x,((T(y,z \ y) / z) * u) * (u \ ((T(y,z \ y) / z) \ y))) = K(x,(z / u) * ((u * (y / z)) * K(z \ y,y))). K(x,((T(y,z \ y) / z) * u) * (u \ ((T(y,z \ y) / z) \ y))) = K(x,(z / u) * (u * T(y / z,T(y,z)))). K(x,((T(y,z \ y) / z) * u) * (u \ ((T(y,z \ y) / z) \ y))) = K(x,(z / u) * (u * T(y / z,y))). x != K(y,z * (u * T(w / v5,w))) | x = K(y,z * (u * (v5 \ w))). K(x,((T(y,z \ y) / z) * u) * (u \ ((T(y,z \ y) / z) \ y))) = K(x,(z / u) * (u * (z \ y))). K(x,((T(y,z \ y) / z) * u) * (u \ (z * K(z \ y,y)))) = K(x,(z / u) * (u * (z \ y))). x != K(y,z * (u \ (w * K(v5,v6)))) | x = K(y,z * ((u \ w) * K(v5,v6))). K(x,(y / z) * (z * (y \ u))) = K(x,((T(u,y \ u) / y) * z) * ((z \ y) * K(y \ u,u))). K(x,((T(y,z \ y) / z) * u) * ((u \ z) * K(z \ y,y))) = K(x,(z / u) * (u * (z \ y))). K(x,(y / z) * (z * (y \ u))) = K(x,((T(u,y \ u) / y) * z) * ((z \ y) * K(y * u,u))). K(x,((T(y,z \ y) / z) * u) * ((u \ z) * K(z * y,y))) = K(x,(z / u) * (u * (z \ y))). K(x,((T(y,z \ y) / z) * u) * ((u \ z) * K(y * z,y))) = K(x,(z / u) * (u * (z \ y))). K(x,(y / z) * (z * (y \ u))) = K(x,((T(u,y \ u) / y) * z) * ((z \ y) * K(u,y))). K(x,((T(y,z \ y) / z) * u) * ((u \ z) * K(y,z))) = K(x,(z / u) * (u * (z \ y))). x != K(y,z * ((u \ w) * K(v5,w))) | x = K(y,z * (u \ T(w,v5))). K(x,(y / z) * (z * (y \ u))) = K(x,((T(u,y \ u) / y) * z) * (z \ T(y,u))). K(x,((T(y,z \ y) / z) * u) * (u \ T(z,y))) = K(x,(z / u) * (u * (z \ y))). x != K(y,((T(z,u \ z) / u) * w) * v5) | x = K(y,((u \ z) * w) * v5). K(x,(y / z) * (z * (y \ u))) = K(x,((y \ u) * z) * (z \ T(y,u))). K(x,((y \ z) * u) * (u \ T(y,z))) = K(x,(y / u) * (u * (y \ z))). x != K(y,((z \ u) * w) * (w \ T(z,u))) | x = K(y,L(u,z,w \ 1)). K(x,(y / z) * (z * (y \ u))) = K(x,L(u,y,z \ 1)). x != K(y,(z / u) * (u * (z \ w))) | x = K(y,L(w,z \ 1,u)). K(x,L(y,z,u \ 1)) = K(x,L(y,z \ 1,u)). K(x,L(y,z \ 1,u)) = K(x,L(y,z,u \ 1)). K(x,L(y,z,(z * u) \ 1)) * u = (1 / z) * ((K(y,x) / z) \ u). K(x,L(y,z,z \ (u \ 1))) * u = (1 / z) * ((K(y,x) / z) \ u). x != K(y,L(z,u,u \ (w \ 1))) * w | x = u \ ((u * K(y,z)) * w). (1 / x) * ((K(y,z) / x) \ u) = x \ ((x * K(z,y)) * u). K(x,y) * (z \ ((z * K(y,x)) * u)) = L(u,y,K(x,z)). x != K(y,z) * (u \ ((u * K(z,y)) * w)) | x = L(w,K(y,z),u). L(x,y,K(z,u)) = L(x,K(z,y),u). L(x,K(y,z),u) = L(x,z,K(y,u)). x != L(y,K(z,a(u,w,v5) \ 1),v6) | x = y. L(x,a(y,z,u) \ 1,K(w,v5)) = x. L(x \ L(x,y,K(z,u)),x,y * (u / T(y,z))) = a(x,K(z,y),u). x * (a(y,z,u) \ K(w,v5)) = (x * (a(y,z,u) \ 1)) * K(w,v5). (x * (a(y,z,u) \ 1)) * K(w,v5) = x * (a(y,z,u) \ K(w,v5)). (a(x,y,z) \ z) * K(u,w) = z * (a(x,y,z) \ K(u,w)). T(x * (a(y,z,x) \ K(u,x)),u) = (a(y,z,x) * u) \ (u * x). (x * (a(y,z,x) \ K(u,x))) * K(x * (a(y,z,x) \ K(u,x)),u) = (a(y,z,x) * u) \ (u * x). (x * (a(y,z,x) \ K(u,x))) * K(T(x,u) / a(y,z,x),u) = (a(y,z,x) * u) \ (u * x). (x * (a(y,z,x) \ K(u,x))) * K(a(y,z,x) \ T(x,u),u) = (a(y,z,x) * u) \ (u * x). (x * (a(y,z,x) \ K(u,x))) * K(a(y,z,x) \ x,u) = (a(y,z,x) * u) \ (u * x). (x * (a(y,z,x) \ K(u,x))) * K(x,L(u,z,y)) = (a(y,z,x) * u) \ (u * x). x * ((a(y,z,x) \ K(u,x)) * K(x,L(u,z,y))) = (a(y,z,x) * u) \ (u * x). x * (a(y,z,x) \ a(z,y,K(x,u))) = (a(y,z,x) * u) \ (u * x). (a(x,y,z) * u) \ (u * z) = z * (a(x,y,z) \ a(y,x,K(z,u))). (a(x,y,z) * u) \ (u * z) = z * (T(a(x,y,z),u) \ 1). x != y * (T(a(z,u,y),w) \ 1) | x = T(a(z,u,y),w) \ y. (a(x,y,z) * u) \ (u * z) = T(a(x,y,z),u) \ z. (a(x,y,z) * u) * (T(a(x,y,z),u) \ z) = u * z. (x * a(y,z,u)) * (a(y,z,u) \ u) = x * u. (x * y) / (a(z,u,y) \ y) = x * a(z,u,y). (x * a(y,z,u)) \ (x * u) = a(y,z,u) \ u. ((x * y) * z) \ ((x * (y * z)) * z) = a(x,y,z) \ z. x != ((y * z) * u) \ ((y * (z * u)) * u) | x = L(u,z,y). a(x,y,z) \ z = L(z,y,x). x * y != a(z,u,w) \ w | x \ L(w,u,z) = y. x \ L(x,y,z) = a(z,y,x) \ 1. a(x,y,z) \ 1 = z \ L(z,y,x). a(x,y,z) * L(z,y,x) = z. x / L(x,y,z) = a(z,y,x). x / L(x,y,z) != u | u = a(z,y,x). x / L(x,y,z) != u | a(z,y,x) = u. L(x,y,z) \ x = a(z,y,x). L(x,y,z) * K(x,u) = a(z,y,x) \ T(x,u). a(x,y,z) \ T(z,u) = L(z,y,x) * K(z,u). x != L(L(y,z,u),w,v5) \ L(y,z,u) | x = L(L(y,w,v5),z,u) \ L(y,z,u). a(x,y,L(z,u,w)) = L(L(z,y,x),u,w) \ L(z,u,w). L(L(x,y,z),u,w) \ L(x,u,w) = a(z,y,L(x,u,w)). L(x / a(y,z,u),L(u,z,y) \ u,L(u,z,y)) = (x / u) * L(u,z,y). L(x / a(y,z,u),a(y,z,u),L(u,z,y)) = (x / u) * L(u,z,y). L(x,y,K(z \ (u \ L(u,w,v5)),v6)) = L(x,y,K(v6,a(v5,w,u) * z)). (x \ L(x,y,z)) * u = a(z,y,x) \ u. (x \ L(x,y,z)) \ u != w | a(z,y,x) * u = w. x * y != z \ ((a(u,w,v5) * z) * v6) | x \ T(K(z,v6) * (a(u,w,v5) * v6),z) = y. (x \ L(x,y,z)) \ T(K(a(z,y,x),u) * (a(w,v5,v6) * u),a(z,y,x)) = (a(w,v5,v6) * a(z,y,x)) * u. T(x,a(y,z,x) \ u) = T(x,L(x,z,y) * (x \ u)). T(x,L(x,y,z) * (x \ u)) = T(x,a(z,y,x) \ u). (x \ L(x,y,z)) \ T(a(z,y,K(x,u)) * (a(w,v5,v6) * u),a(z,y,x)) = (a(w,v5,v6) * a(z,y,x)) * u. (x \ L(x,y,z)) \ T(a(u,w,v5) * L(v6,y,K(z,x)),a(z,y,x)) = (a(u,w,v5) * a(z,y,x)) * v6. x != T(y,L(y,z,u) * (y \ w)) | x = T(y,w). T(x,a(y,z,x) \ u) = T(x,u). T(x,y) = T(x,a(z,u,x) * y). T(x,a(y,z,x) * u) = T(x,u). (a(x,y,z) * u) * L(T(z,u),w,v5) != v6 * v7 | v6 \ (L(z,w,v5) * (a(x,y,z) * u)) = v7. (a(x,y,z) * L(z,u,w)) \ (L(z,u,w) * (a(x,y,z) * v5)) = v5. x != (y * z) \ (z * (y * u)) | x = L(K(z,y) * u,y,z). x = L(K(L(y,z,u),a(w,v5,y)) * x,a(w,v5,y),L(y,z,u)). L(K(L(x,y,z),a(u,w,x)) * v5,a(u,w,x),L(x,y,z)) = v5. L(a(L(x,y,z),u,K(x,w)) * v5,a(w,u,x),L(x,y,z)) = v5. L(a(x,y,K(x,z)) * u,a(z,y,x),L(x,w,v5)) = u. L(x,a(y,z,u),L(u,w,v5)) = x. x != L(y / a(z,u,w),a(z,u,w),L(w,u,z)) | x = (y / w) * L(w,u,z). x / a(y,z,u) = (x / u) * L(u,z,y). (x / y) * L(y,z,u) = x / a(u,z,y). x != y / a(z,u,R(y,w,v5)) | x = a(z,u,R(y,w,v5)) \ y. (x / R(x,y,z)) * L(R(x,y,z),u,w) = a(w,u,R(x,y,z)) \ x. x != y / a(z,u,L(y,w,v5)) | x = a(z,u,L(y,w,v5)) \ y. (x / L(x,y,z)) * L(L(x,y,z),u,w) = a(w,u,L(x,y,z)) \ x. (x / y) * (a(z,u,y) \ y) = x / a(z,u,y). a(x,y,z) * L(L(z,y,x),u,w) = a(w,u,L(z,y,x)) \ z. (R(x,y,z) \ x) * L(R(x,y,z),u,w) = a(w,u,R(x,y,z)) \ x. x != (R(y,z,u) \ y) * w | x = a(y,z,u) \ w. a(x,y,R(z,u,w)) \ z = a(z,u,w) \ L(R(z,u,w),y,x). a(x,y,z) \ L(R(x,y,z),u,w) = a(w,u,R(x,y,z)) \ x. x * (a(y,z,u) \ u) = (x * u) / a(y,z,u). (x * y) / a(z,u,y) = x * (a(z,u,y) \ y). (x * (a(y,z,u) \ u)) * a(y,z,u) = x * u. (x * L(y,z,u)) * a(u,z,y) = x * y. ((x * y) * L(L(z,y,x),u,w)) \ (x * (y * z)) = a(w,u,L(z,y,x)). (x * (y * L(z,u,w))) \ (x * (y * z)) = L(a(w,u,z),y * L(z,u,w),x). L(a(x,y,z),u * L(z,y,x),w) = (w * (u * L(z,y,x))) \ (w * (u * z)). (x * (y * L(z,u,w))) \ (x * (y * z)) = a(w,u,L(z,y,x)). x != (y * (z * L(u,w,v5))) \ (y * (z * u)) | x = L(a(v5,w,u),z * L(u,w,v5),y). a(x,y,L(z,u,w)) = L(a(x,y,z),u * L(z,y,x),w). L(a(x,y,z),u * L(z,y,x),w) = a(x,y,L(z,u,w)). L(a(x,y,z),u,w) = a(x,y,L(z,u / L(z,y,x),w)). a(x,y,L(z,u / L(z,y,x),w)) = L(a(x,y,z),u,w). a(x,y,L(z,L(z,y,x) \ u,w)) = L(a(x,y,z),u,w). R((x * K(y,z)) / L(z,u,w),L(z,u,w),K(z,y)) = x / (a(w,u,z) \ T(z,y)). (x * y) / L(y,z,u) = x * a(u,z,y). (x * K(y,z)) / L(z,u,w) = (x / T(z,y)) * a(w,u,z). R((x / T(y,z)) * a(u,w,y),L(y,w,u),K(y,z)) = x / (a(u,w,y) \ T(y,z)). L((x / T(y,z)) * a(u,w,y),L(y,w,u),K(y,z)) = x / (a(u,w,y) \ T(y,z)). x / (a(y,z,u) \ T(u,w)) = (x / T(u,w)) * a(y,z,u). x / (L(y,z,u) * K(y,w)) = (x / T(y,w)) * a(u,z,y). T(x,L(y,(z / T(u,w)) * a(v5,v6,u),v7)) = T(x,L(y,(L(u,v6,v5) * K(u,w)) \ z,v7)). T(x,L(y,(L(z,u,w) * K(z,v5)) \ v6,v7)) = T(x,L(y,(v6 / T(z,v5)) * a(w,u,z),v7)). x != T(y,L(z,u * a(w,v5,v6),v7)) | x = T(y,L(z,u,v7)). T(x,L(y,(L(z,u,w) * K(z,v5)) \ v6,v7)) = T(x,L(y,v6 / T(z,v5),v7)). x != T(y,L(z,u / w,v5)) | x = T(y,L(z,w \ u,v5)). T(x,L(y,(L(z,u,w) * K(z,v5)) \ v6,v7)) = T(x,L(y,T(z,v5) \ v6,v7)). x != T(y,L(z,T(u,w) \ v5,v6)) | x = T(y,L(z,u \ v5,v6)). T(x,L(y,(L(z,u,w) * K(z,v5)) \ v6,v7)) = T(x,L(y,z \ v6,v7)). T(x,L(y,L(z,u,w) \ v5,v6)) = T(x,L(y,z \ v5,v6)). T(x,L(y,L(z,u,w) \ T(v5,z),v6)) = T(x,L(y,T(z,v5) \ v5,v6)). T(x,L(y,T(z,u) \ u,w)) = T(x,L(y,L(z,v5,v6) \ T(u,z),w)). x != T(y,L(z,u \ T(w,v5),v6)) | x = T(y,L(z,v6,w \ u)). T(x,L(y,T(z,u) \ u,w)) = T(x,L(y,w,u \ L(z,v5,v6))). T(x,L(y,z,u \ L(w,v5,v6))) = T(x,L(y,w \ u,z)). L(x,y,K(z \ L(u,w,v5),v6)) = T(x * K(v6,x),L(v6,u \ z,y)). T(x * K(y,x),L(y,z \ u,w)) = L(x,w,K(u \ L(z,v5,v6),y)). L(x,y \ z,K(u,w)) = L(x,u,K(z \ L(y,v5,v6),w)). L(x,y,K(z \ L(u,w,v5),v6)) = L(x,u \ z,K(y,v6)). L(x,y,K((z * u) \ L(z,w,v5),v6)) = L(x,u,K(y,v6)). L(x,y,K(z \ (u \ L(u,w,v5)),v6)) = L(x,z,K(y,v6)). x != L(y,z,K(u \ (w \ L(w,v5,v6)),v7)) | x = L(y,z,K(v7,a(v6,v5,w) * u)). L(x,y,K(z,u)) = L(x,z,K(u,a(w,v5,v6) * y)). L(x,y,K(z,a(u,w,v5) * v6)) = L(x,v6,K(y,z)). L(x,y,K(a(z,u,w) * v5,v6)) = L(x,v5,K(v6,y)). L(x,y,K(z * a(u,w,v5),v6)) = L(x,z,K(v6,y)). x * y != L(z,u,K(w * a(v5,v6,v7),v8)) | x \ L(z,w,K(v8,u)) = y. x \ L(x,y,K(z,u)) = a(y * a(w,v5,v6),u,K(z,x)). a(x * a(y,z,u),w,K(v5,v6)) = v6 \ L(v6,x,K(v5,w)). x != y \ L(y,z,K(u,w)) | x = a(y,z,K(u,w)). a(x * a(y,z,u),w,K(v5,v6)) = a(v6,x,K(v5,w)). a(a(x,y,z) * u,w,K(v5,v6)) = a(v6,u,K(v5,w)). L(x,y,K(z,u)) * (a(z,y,u) * a(w,x,K(v5,v6))) = L(a(z,y,u) * x,v6,K(v5,w)). x != L(y,z,u) * (w * a(v5,y,K(v6,v7))) | x = L(L(y,z,u),v7,K(v6,v5)) * w. L(a(x,y,z) * u,w,K(v5,v6)) = L(L(u,y,K(x,z)),w,K(v5,v6)) * a(x,y,z). L(L(x,y,K(z,u)),w,K(v5,v6)) * a(z,y,u) = L(a(z,y,u) * x,w,K(v5,v6)). a(x,y,z) * L(u,w,K(v5,v6)) = L(a(x,y,z) * u,w,K(v5,v6)). (x \ L(x,y,z)) \ T(L(a(u,w,v5) * v6,y,K(z,x)),a(z,y,x)) = (a(u,w,v5) * a(z,y,x)) * v6. (x \ L(x,y,z)) \ (a(u,w,v5) * v6) = (a(u,w,v5) * a(z,y,x)) * v6. a(x,y,z) * (a(u,w,v5) * v6) = (a(u,w,v5) * a(x,y,z)) * v6. (a(x,y,z) * a(u,w,v5)) * v6 = a(u,w,v5) * (a(x,y,z) * v6). x != (a(y,z,u) * a(w,v5,v6)) * L(v7,z,K(u,y)) | x = (a(w,v5,v6) * v7) * a(y,z,u). a(x,y,z) * (a(u,w,v5) * L(v6,w,K(v5,u))) = (a(x,y,z) * v6) * a(u,w,v5). a(x,y,z) * (u * a(w,v5,v6)) = (a(x,y,z) * u) * a(w,v5,v6). (a(x,y,z) * u) * a(w,v5,v6) = a(x,y,z) * (u * a(w,v5,v6)). L(a(x,y,z),u,a(w,v5,v6)) = a(x,y,z). x != L(a(y,z,u),w * L(u,z,y),v5) | x = a(y,z,L(u,w,v5)). a(x,y,z) = a(x,y,L(z,u,a(w,v5,v6))). a(x,y,L(z,u,a(w,v5,v6))) = a(x,y,z). L(a(x,y,K(z,u)),u,y * (z / T(y,x))) = a(u,K(x,y),z). x != L(a(y,z,K(u,w)),v5,v6) | x = a(y,z,K(u,w)). a(x,K(y,z),u) = a(y,z,K(u,x)). K(x,L(y,z,u)) * a(x,K(y,z),u) = K(x,y). K(x,L(y \ R(y,z,u),y,w)) * a(x,1,w) = K(x,y \ R(y,z,u)). K(x,L(y \ R(y,z,u),y,w)) * 1 = K(x,y \ R(y,z,u)). K(x,L(y \ R(y,z,u),y,w)) = K(x,y \ R(y,z,u)). x / (K(y,z \ R(z,u,w)) * x) = K(L(z \ R(z,u,w),z,v5),y). K(L(x \ R(x,y,z),x,u),w) = v5 / (K(w,x \ R(x,y,z)) * v5). K(L(x \ R(x,y,z),x,u),w) = K(x \ R(x,y,z),w). K(x \ R(x,y,z),L(u,x,w)) = K(x \ R(x,y,z),u). x != K(y \ R(y,z,u),L(w,y,v5)) | x = K((R(y,z,u) * v5) / (y * v5),w). K(x \ R(x,y,z),u) = K((R(x,y,z) * w) / (x * w),u). K((R(x,y,z) * u) / (x * u),w) = K(x \ R(x,y,z),w). x / (x * K(y \ R(y,z,u),w)) = K(w,T((R(y,z,u) * v5) / (y * v5),x)). K(x,T((R(y,z,u) * w) / (y * w),v5)) = v5 / (v5 * K(y \ R(y,z,u),x)). x != y / (y * K(z,u)) | x = K(u,T(z,y)). K(x,T((R(y,z,u) * w) / (y * w),v5)) = K(x,T(y \ R(y,z,u),v5)). K(x,T((R(y,z,u) * w) / (y * w),v5)) = v5 / (v5 * a(y,z,K(u,x))). x != K(y,T(z \ R(z,u,w),v5)) | x = K(y,z \ R(z,u,w)). K(x,T((R(y,z,u) * w) / (y * w),v5)) = K(x,y \ R(y,z,u)). x != y / (z * a(u,w,K(v5,v6))) | x = a(v6,w,K(v5,u)) * (y / z). K(x,T((R(y,z,u) * w) / (y * w),v5)) = a(x,z,K(u,y)) * (v5 / v5). K(x,T((R(y,z,u) * w) / (y * w),v5)) = a(x,z,K(u,y)) * 1. K(x,T((R(y,z,u) * w) / (y * w),v5)) = a(x,z,K(u,y)). x != K(y,T((R(z,u,w) * v5) / (z * v5),v6)) | x = K(y,z \ R(z,u,w)). a(x,y,K(z,u)) = K(x,u \ R(u,y,z)). K(x,y \ R(y,z,u)) = a(x,z,K(u,y)). (R(x,y,z) * T(u,x)) * a(u * x,y,K(z,x)) = (u * x) * R(x \ R(x,y,z),x,u). (R(x,y,z) * T(u,x)) * a(y,z,K(u,x)) = (u * x) * R(x \ R(x,y,z),x,u). R(x,y,z) * (T(u,x) * a(y,z,K(u,x))) = (u * x) * R(x \ R(x,y,z),x,u). R(x,y,z) * T(u,L(x,y,z)) = (u * x) * R(x \ R(x,y,z),x,u). x * R(y,z,u) = (x * y) * R(y \ R(y,z,u),y,x). (x * y) * R(y \ R(y,z,u),y,x) = x * R(y,z,u). x * y != (z * u) * R(u \ R(u,w,v5),u,z) | x \ (z * R(u,w,v5)) = y. (x * y) \ (x * R(y,z,u)) = (R(y,z,u) * x) / (y * x). (R(x,y,z) * u) / (x * u) = (u * x) \ (u * R(x,y,z)). x != (y * T(z,u)) / ((z \ u) * T(z,u)) | x = (y * T(z,z \ u)) / u. (T(x,y) * (x \ y)) \ (T(x,y) * R(x \ y,z,u)) = (R(x \ y,z,u) * T(x,x \ y)) / y. x != (T(y,z) * (y \ z)) \ (T(y,z) * u) | x = z \ (y * u). (R(x \ y,z,u) * T(x,x \ y)) / y = y \ (x * R(x \ y,z,u)). T(x * R(x \ y,z,u),y) / y = y \ (x * R(x \ y,z,u)). (a(x \ y,z,u) * y) / y = y \ (x * R(x \ y,z,u)). x \ (y * R(y \ x,z,u)) = (a(y \ x,z,u) * x) / x. x != (y * z) / z | x = y. x \ (y * R(y \ x,z,u)) = a(y \ x,z,u). x != y \ (z * R(z \ y,u,w)) | x = a((y \ z) \ 1,u,w). a(x \ y,z,u) = a((y \ x) \ 1,z,u). a((x \ y) \ 1,z,u) = a(y \ x,z,u). a((x / y) \ 1,z,u) = a((T(y,w) / (T(y,w) / x)) \ y,z,u). a((T(x,y) / (T(x,y) / z)) \ x,u,w) = a((z / x) \ 1,u,w). a(L(x,y,z) \ 1,u,w) = a((z * (y * x)) \ (z * y),u,w). a((x * (y * z)) \ (x * y),u,w) = a(L(z,y,x) \ 1,u,w). a((T(x,y) / z) * K(y,x),u,w) = a((z / x) \ 1,u,w). a(x / y,z,u) = a((y / x) \ 1,z,u). a((x / y) \ 1,z,u) = a(y / x,z,u). L(a(x / y,z,u),w,v5) = a(L(y / x,w,v5) \ 1,z,u). a(L(x / y,z,u) \ 1,w,v5) = L(a(y / x,w,v5),z,u). a((x * (y * K(z * y,z \ 1))) \ (x * (z * y)),u,w) = a(L(y / (z * y),z * y,x) \ 1,u,w). a(((x * y) \ (x * (z * y))) * K(z \ 1,z * y),u,w) = a(L(y / (z * y),z * y,x) \ 1,u,w). a(L(T(x,y),y,z) * K(x \ 1,x * y),u,w) = a(L(y / (x * y),x * y,z) \ 1,u,w). a(L(T(x,y),y,z) * K(x * y,x),u,w) = a(L(y / (x * y),x * y,z) \ 1,u,w). a(L(x / (y * x),y * x,z) \ 1,u,w) = a(L(T(y,x),x,z) * K(y * x,y),u,w). a(L(x / (y * x),y * x,z) \ 1,u,w) = a(L(T(y,x),x,z) * K(x * y,y),u,w). a(L(x / (y * x),y * x,z) \ 1,u,w) = a(L(R(y,x,y),x,z),u,w). x != a(L(R(y,z,y),u,w),v5,v6) | x = a(L(y,u,w),v5,v6). a(L(x / (y * x),y * x,z) \ 1,u,w) = a(L(y,x,z),u,w). x != a(L(y / z,u,w) \ 1,v5,v6) | x = L(a(z / y,v5,v6),u,w). a(L(x,y,z),u,w) = L(a((x * y) / y,u,w),x * y,z). L(a((x * y) / y,z,u),x * y,w) = a(L(x,y,w),z,u). L(a(x,y,z),x * u,w) = a(L(x,u,w),y,z). x != L(a(y,z,u),w,a(v5,v6,v7)) | x = a(y,z,u). a(L(x,y,a(z,u,w)),v5,v6) = a(x,v5,v6). a(x,y,z) \ L(R(x,y,z),u,a(w,v5,v6)) = L(x,u,a(w,v5,v6)). x != a(y,z,u) \ L(R(y,z,u),w,v5) | x = a(v5,w,R(y,z,u)) \ y. L(x,y,a(z,u,w)) = a(a(z,u,w),y,R(x,v5,v6)) \ x. a(a(x,y,z),u,R(w,v5,v6)) \ w = L(w,u,a(x,y,z)). x / L(x,y,a(z,u,w)) = a(a(z,u,w),y,R(x,v5,v6)) * K(v7,a(a(v8,v9,v10),v11,v12)). a(a(x,y,z),u,w) = a(a(x,y,z),u,R(w,v5,v6)) * K(v7,a(a(v8,v9,v10),v11,v12)). a(a(x,y,z),u,R(w,v5,v6)) * K(v7,a(a(v8,v9,v10),v11,v12)) = a(a(x,y,z),u,w). a(a(x,y,z),u,w) = a(a(x,y,z),u,R(w,v5,v6)). a(a(x,y,z),u,R(w,v5,v6)) = a(a(x,y,z),u,w). x != a(a(y,z,u),w,v5) | x = v6 \ (a(a(y,z,u),w,v5) * v6). a(a(x,y,z),u,R(w,v5,v6)) = v7 \ (a(a(x,y,z),u,w) * v7). x * y != a(a(z,u,w),v5,v6) | a(a(z,u,w),v5,R(v6,v7,v8)) / y = x. a(a(x,y,z),u,R(w,v5,v6)) / L(a(a(x,y,z),u,w),v7,v8) = a(v8,v7,a(a(x,y,z),u,w)). a(a(x,y,z),u,R(w,v5,v6)) = L(L(w,u,a(x,y,z)),v7,v8) \ (a(v8,v7,L(w,u,a(x,y,z))) \ w). a(a(x,y,z),u,R(w,v5,v6)) = L(L(w,u,a(x,y,z)),v7,v8) \ (a(v8,v7,w) \ w). a(a(x,y,z),u,R(w,v5,v6)) = L(L(w,u,a(x,y,z)),v7,v8) \ L(w,v7,v8). x != L(L(y,z,u),w,v5) \ L(y,w,v5) | x = a(u,z,L(y,w,v5)). a(a(x,y,z),u,R(w,v5,v6)) = a(a(x,y,z),u,L(w,v7,v8)). x != a(a(y,z,u),w,L(v5,v6,v7)) | a(a(y,z,u),w,R(v5,v8,v9)) / x = 1. a(a(x,y,z),u,R(w,v5,v6)) / L(a(a(x,y,z),u,w),v7,v8) = 1. x != a(a(y,z,u),w,R(v5,v6,v7)) / L(a(a(y,z,u),w,v5),v8,v9) | x = a(v9,v8,a(a(y,z,u),w,v5)). 1 = a(x,y,a(a(z,u,w),v5,v6)). 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,y,a(a(z,u,w),v5,v6)) = 1 # label("nil3 30, aa1-Nr") # 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]. a(a(x,y,z),u,w) = a(a(x,y,z),w,u) # label("aa1_45"). [assumption]. a(c1,c2,a(a(c3,c4,c5),c6,c7)) != 1 # label("nil3 30, aa1-Nr"). [deny(10)]. end_of_list. formulas(demodulators). end_of_list. % 29527 hints input. ============================== PREDICATE ELIMINATION ================= No predicates eliminated. ============================== end predicate elimination ============= Auto_denials: % copying label "nil3 30, aa1-Nr" to answer in negative clause Term ordering decisions: Function symbol KB weights: 1=1. c1=1. c2=1. c3=1. c4=1. c5=1. c6=1. c7=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, c1, c2, c3, c4, c5, c6, c7, *, 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 a(a(x,y,z),u,w) = a(a(x,y,z),w,u) # label("aa1_45"). [assumption]. kept: 48 a(c1,c2,a(a(c3,c4,c5),c6,c7)) != 1 # label("nil3 30, aa1-Nr") # answer("nil3 30, aa1-Nr"). [deny(10)]. ============================== end of process initial clauses ======== ============================== CLAUSES FOR SEARCH ==================== % Clauses after input processing: formulas(usable). 48 a(c1,c2,a(a(c3,c4,c5),c6,c7)) != 1 # label("nil3 30, aa1-Nr") # answer("nil3 30, aa1-Nr"). [deny(10)]. 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 a(a(x,y,z),u,w) = a(a(x,y,z),w,u) # label("aa1_45"). [assumption]. end_of_list. formulas(demodulators). end_of_list. % 23012 hints (29527 processed, 6515 redundant). ============================== end of clauses for search ============= ============================== SEARCH ================================ % Starting search at 0.65 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=15): 47 a(a(x,y,z),u,w) = a(a(x,y,z),w,u) # label("aa1_45"). [assumption]. given #30 (H,wt=5): 50 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): 59 x / x = 1. [para(11(a,1),15(a,1,1))]. given #33 (H,wt=5): 60 x / 1 = x. [para(12(a,1),15(a,1,1))]. given #34 (H,wt=5): 118 T(x,x) = x. [para(32(a,2),13(a,1))]. given #35 (H,wt=5): 127 K(x,x) = 1. [para(52(a,1),26(a,2))]. given #36 (H,wt=7): 49 (1 * x) * 1 = x. [para(12(a,2),11(a,1))]. given #37 (H,wt=7): 62 x / (y \ x) = y. [para(14(a,1),15(a,1,1))]. given #38 (H,wt=7): 65 (x / y) \ x = y. [para(16(a,1),13(a,1,2))]. given #39 (H,wt=7): 117 1 \ x = T(x,1). [para(12(a,1),32(a,2,2)),flip(a)]. given #40 (H,wt=5): 145 T(x,1) = x. [para(117(a,1),50(a,1))]. given #41 (H,wt=5): 146 K(x,1) = 1. [hyper(36,a,145,a)]. given #42 (H,wt=5): 147 T(1,x) = 1. [hyper(35,a,145,a)]. given #43 (H,wt=5): 149 K(1,x) = 1. [hyper(36,a,147,a)]. given #44 (H,wt=7): 126 x * (y \ y) = x. [para(52(a,2),12(a,1,2))]. given #45 (H,wt=7): 128 (x \ x) \ y = y. [para(52(a,2),50(a,1,1))]. given #46 (H,wt=7): 133 x * K(y,y) = x. [para(127(a,2),12(a,1,2))]. given #47 (H,wt=7): 148 T(x,y \ y) = x. [para(52(a,2),145(a,1,2))]. given #48 (H,wt=8): 75 1 * x != y | y = x. [para(11(a,1),19(a,1)),flip(a)]. given #49 (H,wt=8): 76 1 * x != y | x = y. [para(11(a,1),19(a,2))]. given #50 (H,wt=8): 77 x * y != x | 1 = y. [para(12(a,1),19(a,1)),flip(a)]. given #51 (H,wt=8): 83 x * 1 != y | y = x. [para(12(a,1),20(a,1)),flip(a)]. given #52 (H,wt=8): 84 x * 1 != y | x = y. [para(12(a,1),20(a,2))]. given #53 (H,wt=9): 51 x \ (1 * (x * y)) = y. [para(11(a,2),13(a,1,2))]. given #54 (H,wt=9): 54 (x * (x \ 1)) * y = y. [para(14(a,2),11(a,1,1))]. given #55 (H,wt=9): 55 x * (x \ (1 * y)) = y. [para(14(a,2),11(a,1))]. given #56 (H,wt=9): 56 x * (y * (y \ 1)) = x. [para(14(a,2),12(a,1,2))]. given #57 (H,wt=9): 63 ((1 / x) * x) * y = y. [para(16(a,2),11(a,1,1))]. given #58 (H,wt=9): 64 x * ((1 / y) * y) = x. [para(16(a,2),12(a,1,2))]. given #59 (H,wt=9): 119 x * T(y,x) = y * x. [para(32(a,2),14(a,1,2))]. given #60 (H,wt=9): 121 T(x / y,y) = y \ x. [para(16(a,1),32(a,2,2))]. given #61 (H,wt=9): 125 (x * (x \ 1)) \ y = y. [para(14(a,2),50(a,1,1))]. given #62 (H,wt=9): 129 x / (y * (y \ 1)) = x. [para(14(a,2),60(a,1,2))]. given #63 (H,wt=9): 130 x / ((1 / y) * y) = x. [para(16(a,2),60(a,1,2))]. given #64 (H,wt=9): 131 T(T(x,y),x) = T(x,y). [para(118(a,1),38(a,1,1)),flip(a)]. given #65 (H,wt=7): 191 K(T(x,y),x) = 1. [hyper(36,a,131,a)]. given #66 (H,wt=7): 192 T(x,T(x,y)) = x. [hyper(35,a,131,a)]. given #67 (H,wt=7): 195 K(x,T(x,y)) = 1. [hyper(36,a,192,a)]. given #68 (H,wt=9): 138 (x * y) / T(x,y) = y. [para(32(a,2),62(a,1,2))]. given #69 (H,wt=9): 141 (x / (1 * y)) \ x = y. [hyper(17,a,11,a,b,65,a(flip)),flip(a)]. given #70 (H,wt=9): 162 T((x * y) / x,x) = y. [hyper(17,a,16,a(flip),b,119,a)]. given #71 (H,wt=9): 163 (x * T(y,x)) / x = y. [hyper(18,a,16,a,b,119,a(flip)),flip(a)]. given #72 (H,wt=9): 164 x \ (y * T(x,y)) = y. [hyper(17,a,14,a,b,119,a(flip)),flip(a)]. given #73 (H,wt=9): 167 x * T(y / x,x) = y. [para(119(a,2),16(a,1))]. given #74 (H,wt=9): 200 (x / (1 * y)) * y = x. [para(141(a,1),14(a,1,2))]. given #75 (H,wt=9): 202 K(x,(y * x) / y) = 1. [para(162(a,1),191(a,1,1))]. given #76 (H,wt=9): 206 T(x,(y * x) / y) = x. [hyper(37,a,202,a)]. given #77 (H,wt=10): 80 x * y != z | x \ z = y. [para(14(a,1),19(a,1)),flip(a)]. given #78 (H,wt=10): 81 (x / y) * z != x | z = y. [para(16(a,1),19(a,2))]. given #79 (H,wt=10): 86 x * (y \ z) != z | x = y. [para(14(a,1),20(a,2))]. given #80 (H,wt=10): 87 x * y != z | z / y = x. [para(16(a,1),20(a,1)),flip(a)]. given #81 (H,wt=8): 208 x != y | y / x = 1. [para(11(a,1),87(a,1))]. given #82 (H,wt=8): 209 x != y | y / 1 = x. [para(12(a,1),87(a,1))]. given #83 (H,wt=10): 150 x * (y \ y) != z | x = z. [para(126(a,1),20(a,2))]. given #84 (H,wt=8): 210 x \ x != y | 1 = y. [para(11(a,1),150(a,1))]. given #85 (H,wt=11): 53 x \ (x * (y \ (y * z))) = z. [para(13(a,2),13(a,1))]. given #86 (H,wt=11): 57 x \ (y * (y \ (x * z))) = z. [para(14(a,2),13(a,1,2))]. given #87 (H,wt=9): 211 x \ (y * (y \ x)) = 1. [para(12(a,1),57(a,1,2,2,2))]. given #88 (H,wt=9): 213 x * (x \ y) = y * 1. [para(211(a,1),14(a,1,2)),flip(a)]. given #89 (H,wt=10): 216 x * (x \ y) != z | z = y. [para(213(a,2),83(a,1))]. given #90 (H,wt=8): 217 1 \ x != y | y = x. [para(11(a,1),216(a,1))]. given #91 (H,wt=8): 223 T(x,1) != y | y = x. [para(117(a,1),217(a,1))]. given #92 (H,wt=10): 221 (x / y) * y != z | z = x. [para(65(a,1),216(a,1,2))]. given #93 (H,wt=8): 224 x / 1 != y | y = x. [para(12(a,1),221(a,1))]. given #94 (H,wt=11): 58 x * (y * (y \ (x \ z))) = z. [para(14(a,2),14(a,1,2))]. given #95 (H,wt=11): 61 x * (((x \ y) * z) / z) = y. [para(15(a,2),14(a,1,2))]. given #96 (H,wt=11): 66 (x \ (x * (y / z))) * z = y. [para(13(a,2),16(a,1,1))]. given #97 (H,wt=11): 67 ((x * (x \ y)) / z) * z = y. [para(16(a,2),14(a,1))]. given #98 (H,wt=9): 229 (x / y) * y = 1 * x. [para(55(a,1),67(a,1,1,1))]. given #99 (H,wt=9): 230 (1 * x) / y = x / y. [hyper(87,a,229,a)]. given #100 (H,wt=10): 232 (x / y) * y != z | x = z. [para(229(a,2),76(a,1))]. given #101 (H,wt=11): 68 (((x / y) / z) * z) * y = x. [para(16(a,2),16(a,1,1))]. given #102 (H,wt=11): 69 x != y | 1 * z != y | z = x. [para(11(a,1),17(a,1))]. given #103 (H,wt=9): 236 x != y | z != y | z = x. [para(11(a,1),69(b,1))]. given #104 (H,wt=11): 70 1 * x != y | z != y | z = x. [para(11(a,1),17(b,1))]. given #105 (H,wt=11): 71 x != y | x * z != y | 1 = z. [para(12(a,1),17(a,1)),flip(c)]. given #106 (H,wt=11): 73 x != y | z * x != y | 1 = z. [para(11(a,1),18(a,1)),flip(c)]. given #107 (H,wt=11): 88 x * (y * (y \ z)) = x * z. [hyper(21,a,14,a)]. given #108 (H,wt=11): 89 ((x / y) * y) * z = x * z. [hyper(22,a,16,a)]. given #109 (H,wt=11): 90 (x * (x \ y)) * z = y * z. [hyper(22,a,14,a)]. given #110 (H,wt=11): 95 (x * y) * K(y,x) = y * x. [para(26(a,2),14(a,1,2))]. given #111 (H,wt=11): 120 T(x,x \ y) = (x \ y) \ y. [para(14(a,1),32(a,2,2))]. given #112 (H,wt=11): 132 T(L(x,y,z),x) = L(x,y,z). [para(118(a,1),40(a,1,1)),flip(a)]. given #113 (H,wt=8): 263 T(x,L(x,y,z)) = x. [hyper(35,a,132,a)]. given #114 (H,wt=8): 264 K(x,L(x,y,z)) = 1. [hyper(36,a,263,a)]. given #115 (H,wt=11): 134 (x / (y \ x)) * z = y * z. [hyper(22,a,62,a)]. given #116 (H,wt=11): 136 (x * y) / K(x,y) = y * x. [para(26(a,2),62(a,1,2))]. given #117 (H,wt=11): 139 x / (y / ((z \ x) \ y)) = z. [para(62(a,2),62(a,1,2))]. given #118 (H,wt=11): 140 ((x / y) \ x) * z = y * z. [hyper(22,a,65,a)]. given #119 (H,wt=11): 142 x * ((y / (x \ z)) \ y) = z. [para(65(a,2),14(a,1,2))]. given #120 (H,wt=11): 144 ((x / (y / z)) \ x) \ y = z. [para(65(a,2),65(a,1,1))]. given #121 (H,wt=11): 165 (x \ y) * T(x,x \ y) = y. [para(119(a,2),14(a,1))]. given #122 (H,wt=11): 186 T(x / (x / y),x / y) = y. [para(121(a,2),65(a,1))]. given #123 (H,wt=11): 187 K(x \ 1,x) = (x \ 1) * x. [para(125(a,1),26(a,2))]. given #124 (H,wt=11): 194 T(x,y) * x = x * T(x,y). [para(131(a,1),119(a,1,2)),flip(a)]. given #125 (H,wt=11): 196 T(x / y,y \ x) = x / y. [para(121(a,1),192(a,1,2))]. given #126 (H,wt=11): 197 x / T(y,y \ x) = y \ x. [para(14(a,1),138(a,1,1))]. given #127 (H,wt=11): 228 ((x * (x \ y)) / z) \ y = z. [hyper(80,a,67,a)]. given #128 (H,wt=11): 233 (x / ((y / z) * z)) * y = x. [para(229(a,2),200(a,1,1,2))]. given #129 (H,wt=11): 234 ((x / y) * y) / z = x / z. [para(229(a,2),230(a,1,1))]. given #130 (H,wt=11): 237 T(x \ y,1) = T(y / x,x). [hyper(236,a,145,a,b,121,a),flip(a)]. given #131 (H,wt=11): 238 (x / y) \ x = z * (z \ y). [hyper(236,a,65,a,b,14,a),flip(a)]. given #132 (H,wt=10): 282 (x / y) \ x != z | z = y. [para(238(a,2),216(a,1))]. given #133 (H,wt=10): 283 x \ (x * y) != z | z = y. [para(15(a,1),282(a,1,1))]. given #134 (H,wt=11): 239 (x * y) / y = z / (x \ z). [hyper(236,a,62,a,b,15,a)]. given #135 (H,wt=11): 240 x / (y \ x) = z * (z \ y). [hyper(236,a,62,a,b,14,a),flip(a)]. given #136 (H,wt=10): 294 x / (y \ x) != z | z = y. [para(240(a,2),216(a,1))]. given #137 (H,wt=8): 299 x / x != y | 1 = y. [para(50(a,1),294(a,1,2)),flip(b)]. given #138 (H,wt=10): 296 (x * y) / y != z | z = x. [para(13(a,1),294(a,1,2))]. given #139 (H,wt=11): 241 (x * y) / y = (x / z) * z. [hyper(236,a,16,a,b,15,a)]. given #140 (H,wt=10): 304 (x * y) / y != z | x = z. [para(241(a,2),232(a,1))]. given #141 (H,wt=11): 242 x \ (x * y) = z * (z \ y). [hyper(236,a,14,a,b,13,a)]. given #142 (H,wt=10): 306 x \ (x * y) != z | y = z. [para(242(a,2),150(a,1))]. given #143 (H,wt=8): 308 1 \ x != y | x = y. [para(11(a,1),306(a,1,2))]. given #144 (H,wt=11): 243 x != y | z != y | x \ z = 1. [para(14(a,1),71(b,1)),flip(c)]. given #145 (H,wt=11): 244 x != y | z != y | z / x = 1. [para(16(a,1),73(b,1)),flip(c)]. given #146 (H,wt=11): 245 (x / (y * (y \ z))) * z = x. [hyper(232,a,88,a),flip(a)]. given #147 (H,wt=11): 248 K(x,1 / x) = x * (1 / x). [hyper(17,a,63,a,b,95,a)]. given #148 (H,wt=11): 265 ((x / y) \ x) * (y \ z) = z. [hyper(236,a,14,a(flip),b,140,a)]. given #149 (H,wt=11): 266 x * (((y / x) \ y) \ z) = z. [hyper(216,a,140,a)]. given #150 (H,wt=11): 267 (x / y) * ((z / y) \ z) = x. [para(65(a,1),142(a,1,2,1,2))]. given #151 (H,wt=11): 273 (x \ 1) \ K(x \ 1,x) = x. [hyper(80,a,187,a(flip))]. given #152 (H,wt=11): 279 x / (y \ ((x / z) * z)) = y. [hyper(236,a,62,a(flip),b,234,a(flip))]. given #153 (H,wt=11): 291 (x / (y \ x)) \ z = y \ z. [para(239(a,1),228(a,1,1))]. given #154 (H,wt=11): 293 (x * (x \ y)) \ z = y \ z. [para(240(a,1),65(a,1,1))]. given #155 (H,wt=12): 78 (x * y) * 1 != x * z | z = y. [para(12(a,2),19(a,2)),flip(a)]. given #156 (H,wt=10): 316 1 * x != y * 1 | x = y. [para(11(a,1),78(a,1,1)),flip(a)]. given #157 (H,wt=10): 317 x * y != x * z | z = y. [para(12(a,1),78(a,1))]. given #158 (H,wt=10): 318 1 * x != y | 1 * y = x. [para(49(a,1),316(a,2)),flip(b)]. given #159 (H,wt=8): 319 x != y | 1 * y = x. [para(11(a,1),318(a,1))]. given #160 (H,wt=12): 100 x \ (1 * (x * y)) = L(y,x,1). [para(11(a,1),28(a,2,1)),flip(a)]. given #161 (H,wt=6): 320 L(x,y,1) = x. [hyper(236,a,51,a(flip),b,100,a(flip))]. given #162 (H,wt=8): 321 L(x,y,1) = x / 1. [hyper(236,a,60,a,b,320,a)]. given #163 (H,wt=9): 323 L(x,y,1) != z | z = x. [para(321(a,2),224(a,1))]. given #164 (H,wt=12): 101 (x * 1) \ (x * y) = L(y,1,x). [para(11(a,1),28(a,2,2,2)),flip(a)]. given #165 (H,wt=10): 324 x \ (x * y) = L(y,1,x). [para(12(a,1),101(a,1,1))]. given #166 (H,wt=6): 325 L(x,1,y) = x. [hyper(306,a,324,a),flip(a)]. given #167 (H,wt=6): 328 a(x,1,y) = 1. [hyper(34,a,325,a)]. given #168 (H,wt=9): 326 L(x,1,y) != z | z = x. [para(324(a,1),283(a,1))]. given #169 (H,wt=12): 102 (x * y) \ (x * y) = L(1,y,x). [para(12(a,1),28(a,2,2,2)),flip(a)]. given #170 (H,wt=6): 329 L(1,x,y) = 1. [hyper(210,a,102,a),flip(a)]. given #171 (H,wt=6): 332 a(x,y,1) = 1. [hyper(34,a,329,a)]. given #172 (H,wt=8): 333 a(x,y,K(z,z)) = 1. [para(127(a,2),332(a,1,3))]. given #173 (H,wt=9): 330 L(1,x,y) != z | 1 = z. [para(102(a,1),210(a,1))]. given #174 (H,wt=12): 107 (x * y) / (x * y) = R(1,x,y). [para(11(a,1),30(a,2,1,1)),flip(a)]. given #175 (H,wt=6): 334 R(1,x,y) = 1. [hyper(299,a,107,a),flip(a)]. given #176 (H,wt=9): 335 R(1,x,y) != z | 1 = z. [para(107(a,1),299(a,1))]. given #177 (H,wt=12): 108 ((x * 1) * y) / y = R(x,1,y). [para(11(a,1),30(a,2,2)),flip(a)]. given #178 (H,wt=10): 337 (x * y) / y = R(x,1,y). [para(12(a,1),108(a,1,1,1))]. given #179 (H,wt=6): 338 R(x,1,y) = x. [hyper(304,a,337,a),flip(a)]. given #180 (H,wt=9): 339 R(x,1,y) != z | z = x. [para(337(a,1),296(a,1))]. given #181 (H,wt=12): 109 (x * y) / (y * 1) = R(x,y,1). [para(12(a,1),30(a,2,1)),flip(a)]. given #182 (H,wt=10): 341 (x * y) / y = R(x,y,1). [para(12(a,1),109(a,1,2))]. given #183 (H,wt=6): 342 R(x,y,1) = x. [hyper(304,a,341,a),flip(a)]. given #184 (H,wt=9): 343 R(x,y,1) != z | z = x. [para(341(a,1),296(a,1))]. given #185 (H,wt=12): 151 (x * (x \ 1)) * y != z | z = y. [para(14(a,2),75(a,1,1))]. given #186 (H,wt=12): 152 ((1 / x) * x) * y != z | z = y. [para(16(a,2),75(a,1,1))]. given #187 (H,wt=12): 153 ((1 / x) * x) * y != z | y = z. [para(16(a,2),76(a,1,1))]. given #188 (H,wt=12): 154 x * (y * (y \ 1)) != z | z = x. [para(14(a,2),83(a,1,2))]. given #189 (H,wt=12): 155 x * (y * (y \ 1)) != z | x = z. [para(14(a,2),84(a,1,2))]. given #190 (H,wt=12): 158 L(x \ 1,x,y) = (y * x) \ y. [para(56(a,1),28(a,2,2))]. given #191 (H,wt=12): 159 R(1 / x,x,y) = y / (x * y). [para(63(a,1),30(a,2,1))]. given #192 (H,wt=12): 169 x * y != z * x | T(z,x) = y. [para(119(a,1),19(a,1)),flip(a)]. given #193 (H,wt=12): 170 x * T(y,x) != y * z | z = x. [para(119(a,2),19(a,2)),flip(a)]. given #194 (H,wt=10): 364 1 * x != x * y | 1 = y. [para(145(a,1),170(a,1,2)),flip(b)]. given #195 (H,wt=12): 171 x * T(y,z) != y * z | x = z. [para(119(a,1),20(a,2))]. given #196 (H,wt=12): 172 x * T(y,x) != z * x | z = y. [para(119(a,2),20(a,2)),flip(a)]. given #197 (H,wt=12): 207 x * y != z | T(x,y) = y \ z. [para(119(a,1),80(a,1)),flip(b)]. given #198 (H,wt=12): 214 x * 1 != y * z | y \ x = z. [para(213(a,1),19(a,1))]. given #199 (H,wt=12): 215 x * (x \ y) != y * z | 1 = z. [para(213(a,2),19(a,1))]. given #200 (H,wt=12): 220 x * T(y,x) != z | y * x = z. [para(32(a,2),216(a,1,2)),flip(b)]. given #201 (H,wt=12): 222 x * y != z | y * T(x,y) = z. [para(164(a,1),216(a,1,2)),flip(b)]. given #202 (H,wt=12): 226 x / (y * (y \ 1)) != z | z = x. [para(56(a,1),221(a,1))]. given #203 (H,wt=12): 231 1 * x != y * z | x / z = y. [para(229(a,1),20(a,1))]. given #204 (H,wt=12): 280 T(x / y,y) != z | y \ x = z. [para(237(a,1),223(a,1)),flip(b)]. given #205 (H,wt=12): 284 x \ (y * x) != z | T(y,x) = z. [para(138(a,1),282(a,1,1)),flip(b)]. given #206 (H,wt=12): 287 T((x * y) / x,x) != z | z = y. [para(121(a,2),283(a,1))]. given #207 (H,wt=12): 288 x \ y != z | T(y / x,x) = z. [para(167(a,1),283(a,1,2)),flip(b)]. given #208 (H,wt=12): 289 x \ (y * (y \ x)) != z | 1 = z. [para(213(a,2),283(a,1,2)),flip(b)]. given #209 (H,wt=12): 298 (x * y) / T(x,y) != z | z = y. [para(32(a,2),294(a,1,2))]. given #210 (H,wt=12): 300 (x * T(y,x)) / x != z | z = y. [para(164(a,1),294(a,1,2))]. given #211 (H,wt=12): 301 (1 * x) / y != z | x / y = z. [para(229(a,1),296(a,1,1)),flip(b)]. given #212 (H,wt=12): 349 (x * y) * L(y \ 1,y,x) = x. [para(158(a,2),14(a,1,2))]. given #213 (H,wt=12): 353 x / L(y \ 1,y,x) = x * y. [para(158(a,2),62(a,1,2))]. given #214 (H,wt=12): 358 R(1 / x,x,y) \ y = x * y. [para(159(a,2),65(a,1,1))]. given #215 (H,wt=12): 380 L(x \ 1,x,1 / x) = 1 / x. [hyper(153,a,349,a)]. given #216 (H,wt=13): 72 x != y | z * u != y | z \ x = u. [para(14(a,1),17(a,1)),flip(c)]. given #217 (H,wt=13): 74 x != y | z * u != y | x / u = z. [para(16(a,1),18(a,1)),flip(c)]. given #218 (H,wt=13): 96 x \ ((y \ x) * y) = K(y \ x,y). [para(14(a,1),26(a,2,1)),flip(a)]. given #219 (H,wt=13): 97 ((x \ y) * x) \ y = K(x,x \ y). [para(14(a,1),26(a,2,2)),flip(a)]. given #220 (H,wt=13): 98 x \ (y * (x / y)) = K(y,x / y). [para(16(a,1),26(a,2,1)),flip(a)]. given #221 (H,wt=13): 99 (x * (y / x)) \ y = K(y / x,x). [para(16(a,1),26(a,2,2)),flip(a)]. given #222 (H,wt=13): 116 x * (y \ (z * y)) = x * T(z,y). [hyper(21,a,32,a),flip(a)]. given #223 (H,wt=13): 161 x * (y * T(z,y)) = x * (z * y). [hyper(21,a,119,a)]. given #224 (H,wt=13): 166 x * (y * (y \ T(z,x))) = z * x. [para(14(a,2),119(a,1,2))]. given #225 (H,wt=13): 180 x * T(T(y,x),z) = T(y,z) * x. [para(38(a,1),119(a,1,2))]. given #226 (H,wt=13): 183 T(T(x / y,z),y) = T(y \ x,z). [para(121(a,1),38(a,1,1)),flip(a)]. given #227 (H,wt=13): 193 T(T(T(x,y),z),x) = T(T(x,y),z). [para(131(a,1),38(a,1,1)),flip(a)]. given #228 (H,wt=9): 411 T(x,T(T(x,y),z)) = x. [hyper(35,a,193,a)]. given #229 (H,wt=13): 198 (T(x,y) * z) / T(T(x,z),y) = z. [para(38(a,1),138(a,1,2))]. given #230 (H,wt=13): 199 (x * y) / T(y,T(x,y)) = T(x,y). [para(119(a,1),138(a,1,1))]. given #231 (H,wt=13): 201 T(T((x * y) / x,z),x) = T(y,z). [para(162(a,1),38(a,1,1)),flip(a)]. given #232 (H,wt=13): 203 T((x * y) / x,y) = (x * y) / x. [para(162(a,1),192(a,1,2))]. given #233 (H,wt=13): 204 (x * T(T(y,x),z)) / x = T(y,z). [para(38(a,1),163(a,1,1,2))]. given #234 (H,wt=13): 247 ((x \ y) * x) * K(x,x \ y) = y. [hyper(236,a,14,a(flip),b,95,a)]. given #235 (H,wt=13): 249 x * K(y \ x,y) = (y \ x) * y. [hyper(236,a,90,a(flip),b,95,a(flip)),flip(a)]. given #236 (H,wt=13): 250 x * K(y,x / y) = y * (x / y). [hyper(236,a,89,a(flip),b,95,a(flip)),flip(a)]. given #237 (H,wt=13): 261 T(x / y,(x / y) \ x) = y \ x. [para(65(a,1),120(a,2,1))]. given #238 (H,wt=13): 271 T(x / (x / y),y) = x / (x / y). [para(186(a,1),192(a,1,2))]. given #239 (H,wt=13): 272 x * T(x \ 1,x) = K(x \ 1,x). [hyper(236,a,119,a,b,187,a),flip(a)]. given #240 (H,wt=13): 401 K(x \ 1,x) \ 1 = K(x,x \ 1). [para(187(a,2),97(a,1,1))]. given #241 (H,wt=14): 79 x \ (x * (y * z)) != y * u | u = z. [para(13(a,2),19(a,2)),flip(a)]. given #242 (H,wt=12): 424 x \ x != y * z | y \ 1 = z. [para(56(a,1),79(a,1,2)),flip(b)]. given #243 (H,wt=14): 82 ((x * y) / z) * z != x * u | u = y. [para(16(a,2),19(a,2)),flip(a)]. given #244 (H,wt=14): 85 x \ (x * (y * z)) != u * z | u = y. [para(13(a,2),20(a,2)),flip(a)]. given #245 (H,wt=12): 429 x \ x != y * z | 1 / z = y. [para(64(a,1),85(a,1,2)),flip(b)]. given #246 (H,wt=14): 103 (x * y) * L(z,y,x) = x * (y * z). [para(28(a,2),14(a,1,2))]. given #247 (H,wt=12): 432 L(x \ T(y * x,y),x,y) = y. [hyper(17,a,166,a(flip),b,103,a)]. given #248 (H,wt=14): 105 L(x \ y,x,z) = (z * x) \ (z * y). [para(14(a,1),28(a,2,2,2))]. given #249 (H,wt=14): 113 R(x,y,z) * (y * z) = (x * y) * z. [para(30(a,2),16(a,1,1))]. given #250 (H,wt=14): 114 R(x / y,y,z) = (x * z) / (y * z). [para(16(a,1),30(a,2,1,1))]. given #251 (H,wt=14): 137 (x * (y * z)) / L(z,y,x) = x * y. [para(28(a,2),62(a,1,2))]. given #252 (H,wt=14): 143 R(x,y,z) \ ((x * y) * z) = y * z. [para(30(a,2),65(a,1,1))]. given #253 (H,wt=14): 156 R(x,x \ 1,y) = y / ((x \ 1) * y). [para(54(a,1),30(a,2,1))]. given #254 (H,wt=14): 188 x * ((x \ 1) * y) = L(y,x \ 1,x). [para(125(a,1),28(a,2)),flip(a)]. given #255 (H,wt=14): 189 (x * y) * (y \ 1) = R(x,y,y \ 1). [para(129(a,1),30(a,2)),flip(a)]. given #256 (H,wt=14): 190 (x * (1 / y)) * y = R(x,1 / y,y). [para(130(a,1),30(a,2)),flip(a)]. given #257 (H,wt=14): 212 x \ ((x * y) * L(z,y,x)) = y * z. [para(28(a,2),57(a,1,2,2))]. given #258 (H,wt=14): 218 (x * y) * K(y,x) != z | y * x = z. [para(26(a,2),216(a,1,2)),flip(b)]. given #259 (H,wt=14): 227 L(x \ (y \ z),x,y) = (y * x) \ z. [para(58(a,1),28(a,2,2))]. given #260 (H,wt=14): 235 R((x / y) / z,z,y) = x / (z * y). [para(68(a,1),30(a,2,1))]. given #261 (H,wt=14): 246 ((x / y) * y) * z != u | x \ u = z. [para(89(a,2),80(a,1))]. given #262 (H,wt=14): 251 (x * y) * z != y * x | K(y,x) = z. [para(95(a,1),19(a,1)),flip(a)]. given #263 (H,wt=14): 252 (x * y) * K(y,x) != y * z | z = x. [para(95(a,2),19(a,2)),flip(a)]. given #264 (H,wt=14): 268 (x \ y) * z != y | T(x,x \ y) = z. [para(165(a,1),19(a,1)),flip(a)]. given #265 (H,wt=14): 274 K(x \ 1,x) != y * x | x \ 1 = y. [para(187(a,2),20(a,1))]. given #266 (H,wt=14): 281 (x / y) \ x != z * u | z \ y = u. [para(238(a,2),19(a,1))]. given #267 (H,wt=14): 285 (x * y) \ (y * x) != z | K(y,x) = z. [para(136(a,1),282(a,1,1)),flip(b)]. given #268 (H,wt=14): 286 (x \ y) \ y != z | T(x,x \ y) = z. [para(197(a,1),282(a,1,1)),flip(b)]. given #269 (H,wt=14): 290 (x / (y \ x)) * z != u | y * z = u. [para(239(a,1),221(a,1,1)),flip(b)]. given #270 (H,wt=14): 292 x / (y \ x) != z * u | z \ y = u. [para(240(a,2),19(a,1))]. given #271 (H,wt=14): 295 (x * (x \ y)) \ z != u | y \ z = u. [para(240(a,1),282(a,1,1)),flip(b)]. given #272 (H,wt=14): 302 (x * y) / y != z * u | x / u = z. [para(241(a,2),20(a,1))]. given #273 (H,wt=12): 522 x / x != y * z | 1 / z = y. [para(11(a,1),302(a,1,1))]. given #274 (H,wt=12): 523 x * 1 != y * z | x / z = y. [para(60(a,1),302(a,1))]. given #275 (H,wt=12): 528 x * y != z | (1 * z) / y = x. [para(49(a,1),523(a,1)),flip(a)]. given #276 (H,wt=14): 303 ((x / y) * y) * z != u | x * z = u. [para(241(a,1),221(a,1,1)),flip(b)]. given #277 (H,wt=14): 305 x \ (x * y) != z * u | z \ y = u. [para(242(a,2),19(a,1))]. given #278 (H,wt=12): 531 1 * x != y * z | y \ x = z. [para(50(a,1),305(a,1))]. given #279 (H,wt=14): 307 x * (y * (y \ z)) != u | x * z = u. [para(242(a,1),216(a,1,2)),flip(b)]. given #280 (H,wt=14): 312 x * ((y / z) \ y) != u | u / z = x. [para(267(a,1),20(a,1)),flip(a)]. given #281 (H,wt=14): 314 (x \ 1) * x != y | K(x \ 1,x) = y. [para(273(a,1),216(a,1,2)),flip(b)]. given #282 (H,wt=14): 345 x * (1 / x) != y | K(x,1 / x) = y. [para(95(a,1),152(a,1)),flip(b)]. given #283 (H,wt=14): 346 ((x * y) \ x) / L(y \ 1,y,x) = 1. [hyper(244,a,158,a,b,xx)]. given #284 (H,wt=14): 347 L((x \ y) \ 1,x \ y,x) = y \ x. [hyper(236,a,293,a(flip),b,158,a)]. given #285 (H,wt=11): 540 K((x \ y) \ 1,y \ x) = 1. [para(347(a,1),264(a,1,2))]. given #286 (H,wt=11): 541 K(((x * y) \ x) \ 1,y) = 1. [para(13(a,1),540(a,1,2))]. given #287 (H,wt=14): 350 L(x \ 1,x,y / x) = y \ (y / x). [para(16(a,1),158(a,2,1))]. given #288 (H,wt=14): 354 R(1 / x,x,x \ y) = (x \ y) / y. [para(14(a,1),159(a,2,2))]. given #289 (H,wt=14): 355 R(1 / (x / y),x / y,y) = y / x. [para(16(a,1),159(a,2,2))]. given #290 (H,wt=14): 367 x * (x \ y) != z * u | z \ y = u. [para(213(a,2),214(a,1))]. given #291 (H,wt=14): 374 (x / y) * y != z * u | x / u = z. [para(229(a,2),231(a,1))]. given #292 (H,wt=14): 375 T(x,x \ y) != z | (x \ y) \ y = z. [para(62(a,1),280(a,1,1))]. given #293 (H,wt=14): 379 ((x / y) * y) / z != u | x / z = u. [para(229(a,2),301(a,1,1))]. given #294 (H,wt=14): 384 x / L(y,1 / y,x) = x * (1 / y). [para(65(a,1),353(a,1,2,1))]. given #295 (H,wt=14): 387 R(x,x \ 1,y) \ y = (x \ 1) * y. [para(62(a,1),358(a,1,1,1))]. given #296 (H,wt=14): 391 (x * y) \ R(x,y,y \ 1) = y \ 1. [hyper(72,a,30,a,b,129,a(flip))]. given #297 (H,wt=14): 392 x \ L(y,x \ 1,x) = (x \ 1) * y. [hyper(72,a,28,a,b,125,a(flip))]. given #298 (H,wt=14): 395 R(x,y,y \ 1) / (y \ 1) = x * y. [hyper(74,a,30,a,b,129,a(flip))]. given #299 (H,wt=14): 396 L(x,y \ 1,y) / ((y \ 1) * x) = y. [hyper(74,a,28,a,b,125,a(flip))]. given #300 (H,wt=14): 400 K(x \ 1,x) != y | (x \ 1) * x = y. [para(96(a,1),217(a,1)),flip(b)]. given #301 (H,wt=14): 417 T(T(x,y),z) != u | T(T(x,z),y) = u. [para(204(a,1),287(a,1,1)),flip(b)]. given #302 (H,wt=14): 427 (x / y) * y != z * u | z \ x = u. [para(14(a,1),82(a,1,1,1)),flip(b)]. given #303 (H,wt=14): 428 x \ (x * y) != z * u | y / u = z. [para(16(a,1),85(a,1,2,2)),flip(b)]. given #304 (H,wt=14): 430 (1 / x) * (x * y) = L(y,x,1 / x). [hyper(153,a,103,a),flip(a)]. given #305 (H,wt=14): 435 (1 / x) \ L(y,x,1 / x) = x * y. [hyper(72,a,63,a(flip),b,103,a(flip))]. given #306 (H,wt=14): 451 L((x \ 1) \ y,x \ 1,x) = x * y. [hyper(236,a,125,a(flip),b,105,a)]. given #307 (H,wt=14): 462 (R(x,y,z) * (y * z)) / z = x * y. [hyper(74,a,113,a,b,xx)]. given #308 (H,wt=14): 464 R(x / y,y,z) \ (x * z) = y * z. [hyper(72,a,89,a(flip),b,113,a)]. given #309 (H,wt=14): 481 R(x / (1 / y),1 / y,y) = x * y. [hyper(236,a,130,a(flip),b,114,a)]. given #310 (H,wt=14): 482 R(x / y,y,y \ 1) = x * (y \ 1). [hyper(236,a,129,a(flip),b,114,a)]. given #311 (H,wt=14): 500 x / K(x \ 1,x) = R(x,x \ 1,x). [para(187(a,2),156(a,2,2)),flip(a)]. given #312 (H,wt=14): 515 (x * (x \ y)) * z != u | y * z = u. [para(240(a,1),290(a,1,1))]. given #313 (H,wt=14): 516 (x * y) / y != z * u | z \ x = u. [para(13(a,1),292(a,1,2))]. given #314 (H,wt=14): 519 (x / (y \ x)) \ z != u | y \ z = u. [para(240(a,2),295(a,1,1))]. given #315 (H,wt=14): 527 x * (y \ y) != z * u | x / u = z. [para(52(a,2),523(a,1,2))]. given #316 (H,wt=14): 529 x * (x \ y) != z * u | y / u = z. [para(213(a,2),523(a,1))]. given #317 (H,wt=14): 536 x * (y / (z \ y)) != u | x * z = u. [para(240(a,2),307(a,1,2))]. given #318 (H,wt=14): 545 x * y != z * u | z \ (x * y) = u. [para(13(a,1),367(a,1,2))]. given #319 (H,wt=14): 555 x * y != z * u | (x * y) / u = z. [para(15(a,1),374(a,1,1))]. given #320 (H,wt=14): 569 (x / y) \ x != z * u | y / u = z. [para(16(a,1),428(a,1,2))]. given #321 (H,wt=14): 572 L(x \ y,x,1 / x) = (1 / x) * y. [hyper(307,a,430,a),flip(a)]. given #322 (H,wt=14): 582 ((x / y) \ x) * z != u | y * z = u. [para(238(a,2),515(a,1,1))]. given #323 (H,wt=14): 589 x * y != z | ((z / u) * u) / y = x. [para(16(a,1),555(a,1)),flip(a)]. given #324 (H,wt=15): 122 x * T(T(y,z),u) = x * T(T(y,u),z). [hyper(21,a,38,a)]. given #325 (H,wt=15): 168 x * y != z | y * u != z | T(x,y) = u. [para(119(a,1),17(a,1)),flip(c)]. => 594 back subsumes hint matchers not on Sos. Reset weight to 513.000. given #326 (H,wt=12): 595 L(T(x,y),y,x) = T(x,x * y). [hyper(168,a,161,a(flip),b,103,a),flip(a)]. given #327 (H,wt=12): 596 T(L(x,y,x),y) = T(x,x * y). [hyper(236,a,40,a(flip),b,595,a(flip)),flip(a)]. given #328 (H,wt=14): 598 x * T(y,y * x) = L(y,x,y) * x. [para(596(a,1),119(a,1,2))]. given #329 (H,wt=14): 599 (x * T(y,y * x)) / x = L(y,x,y). [para(596(a,1),163(a,1,1,2))]. given #330 (H,wt=15): 176 (x * y) \ (T(x,y) * y) = K(T(x,y),y). [para(119(a,1),26(a,2,1)),flip(a)]. given #331 (H,wt=15): 181 x * L(T(y,x),z,u) = L(y,z,u) * x. [para(40(a,2),119(a,1,2))]. given #332 (H,wt=15): 182 x * R(T(y,x),z,u) = R(y,z,u) * x. [para(42(a,2),119(a,1,2))]. given #333 (H,wt=13): 617 R(x,y,z) * x = x * R(x,y,z). [para(118(a,1),182(a,1,2,1)),flip(a)]. given #334 (H,wt=8): 625 T(x,R(x,y,z)) = x. [hyper(169,a,617,a)]. given #335 (H,wt=13): 626 (x * R(x,y,z)) / x = R(x,y,z). [hyper(87,a,617,a)]. given #336 (H,wt=13): 627 T(x / y,x * (y \ 1)) = x / y. [para(482(a,1),625(a,1,2))]. given #337 (H,wt=15): 184 T(L(x / y,z,u),y) = L(y \ x,z,u). [para(121(a,1),40(a,1,1)),flip(a)]. given #338 (H,wt=15): 185 T(R(x / y,z,u),y) = R(y \ x,z,u). [para(121(a,1),42(a,1,1)),flip(a)]. given #339 (H,wt=14): 630 T(x / (y * x),y) = R(y \ 1,y,x). [para(159(a,1),185(a,1,1))]. given #340 (H,wt=15): 205 L(x,y,z) \ (u * L(T(x,u),y,z)) = u. [para(40(a,2),164(a,1,2,2))]. given #341 (H,wt=15): 255 (x * y) / T(y * x,K(x,y)) = K(x,y). [para(95(a,1),138(a,1,1))]. given #342 (H,wt=15): 256 T(x,x \ y) * z = ((x \ y) \ y) * z. [hyper(22,a,120,a)]. given #343 (H,wt=15): 257 x * T(y,y \ z) = x * ((y \ z) \ z). [hyper(21,a,120,a)]. given #344 (H,wt=15): 258 (x \ y) \ y = z * (z \ T(x,x \ y)). [hyper(236,a,14,a,b,120,a(flip))]. given #345 (H,wt=15): 259 T(T(x,y),x \ z) = T((x \ z) \ z,y). [para(120(a,1),38(a,1,1)),flip(a)]. given #346 (H,wt=15): 270 T(x / (x / y),(z / (x / y)) \ z) = y. [para(65(a,2),186(a,1,2))]. given #347 (H,wt=15): 311 ((x \ y) \ y) * (T(x,x \ y) \ z) = z. [para(197(a,1),265(a,1,1,1))]. given #348 (H,wt=15): 313 (x / T(y,y \ z)) * ((y \ z) \ z) = x. [para(197(a,1),267(a,1,2,1))]. given #349 (H,wt=15): 381 (x * y) * z != x | L(y \ 1,y,x) = z. [para(349(a,1),19(a,1)),flip(a)]. given #350 (H,wt=15): 383 (x * y) \ x != z | L(y \ 1,y,x) = z. [para(349(a,1),283(a,1,2)),flip(b)]. given #351 (H,wt=15): 388 x / (y * x) != z | R(1 / y,y,x) = z. [para(358(a,1),294(a,1,2)),flip(b)]. given #352 (H,wt=15): 390 x \ T(y,y \ z) = x \ ((y \ z) \ z). [hyper(72,a,120,a,b,14,a)]. given #353 (H,wt=15): 393 (T(x,x \ y) / z) \ ((x \ y) \ y) = z. [hyper(72,a,120,a(flip),b,16,a)]. given #354 (H,wt=15): 394 x != y | z * u != y | T(z,u) = u \ x. [para(119(a,1),72(b,1)),flip(c)]. given #355 (H,wt=15): 397 K(x,y) = (y * x) \ ((y \ (y * x)) * y). [para(13(a,1),96(a,2,1)),flip(a)]. given #356 (H,wt=11): 659 K(x \ (x * y),x) = K(y,x). [hyper(236,a,96,a(flip),b,397,a),flip(a)]. given #357 (H,wt=11): 660 K(x \ (x * y),z) = K(y,z). [para(53(a,1),659(a,1,1)),flip(a)]. given #358 (H,wt=11): 661 K((x / y) \ x,z) = K(y,z). [para(16(a,1),660(a,1,1,2))]. given #359 (H,wt=15): 398 x \ (y * T(y \ x,y)) = K(y \ x,y). [para(119(a,2),96(a,1,2))]. given #360 (H,wt=15): 403 x * T(x \ (y * x),z) = T(y,z) * x. [para(32(a,1),180(a,1,2,1))]. given #361 (H,wt=15): 405 T(x / y,z) * y = y * T(y \ x,z). [para(121(a,1),180(a,1,2,1)),flip(a)]. given #362 (H,wt=15): 406 T((x * y) / x,z) * x = x * T(y,z). [para(162(a,1),180(a,1,2,1)),flip(a)]. given #363 (H,wt=14): 663 T((x * y) / x,y * x) = L(y,x,y). [hyper(18,a,598,a(flip),b,406,a)]. given #364 (H,wt=15): 408 (x * T(x \ y,z)) / x = T(y / x,z). [para(183(a,1),163(a,1,1,2))]. given #365 (H,wt=15): 412 (x * T(y,z)) / x = T((x * y) / x,z). [para(201(a,1),163(a,1,1,2))]. given #366 (H,wt=15): 539 T((x \ y) \ 1,y \ x) = (x \ y) \ 1. [para(347(a,1),263(a,1,2))]. given #367 (H,wt=15): 577 T((x \ 1) \ y,x * y) = (x \ 1) \ y. [para(451(a,1),263(a,1,2))]. given #368 (H,wt=13): 673 T(x * y,(x \ 1) \ y) = x * y. [hyper(35,a,577,a)]. given #369 (H,wt=15): 605 T(L(x,y,x),y) != z | T(x,x * y) = z. [para(599(a,1),287(a,1,1)),flip(b)]. given #370 (H,wt=15): 636 ((x \ y) \ y) \ (T(x,x \ y) * z) = z. [hyper(545,a,256,a)]. given #371 (H,wt=15): 637 T(x,x \ y) \ z = ((x \ y) \ y) \ z. [hyper(367,a,256,a),flip(a)]. given #372 (H,wt=15): 644 x / T(y,y \ z) = x / ((y \ z) \ z). [hyper(374,a,257,a),flip(a)]. given #373 (H,wt=15): 646 (x / ((y \ z) \ z)) * T(y,y \ z) = x. [hyper(236,a,16,a(flip),b,257,a)]. given #374 (H,wt=16): 91 (x * (y * z)) * a(x,y,z) = (x * y) * z. [para(24(a,2),14(a,1,2))]. given #375 (H,wt=16): 104 x \ (y * ((y \ x) * z)) = L(z,y \ x,y). [para(14(a,1),28(a,2,1)),flip(a)]. given #376 (H,wt=16): 106 L(x,y / x,z) = (z * (y / x)) \ (z * y). [para(16(a,1),28(a,2,2,2))]. given #377 (H,wt=16): 110 R(x,x \ y,z) = (y * z) / ((x \ y) * z). [para(14(a,1),30(a,2,1,1))]. given #378 (H,wt=16): 112 ((x * y) * (y \ z)) / z = R(x,y,y \ z). [para(14(a,1),30(a,2,2)),flip(a)]. given #379 (H,wt=16): 115 ((x * (y / z)) * z) / y = R(x,y / z,z). [para(16(a,1),30(a,2,2)),flip(a)]. given #380 (H,wt=16): 135 ((x * y) * z) / a(x,y,z) = x * (y * z). [para(24(a,2),62(a,1,2))]. given #381 (H,wt=16): 157 x \ ((x * y) * (y \ 1)) = a(x,y,y \ 1). [para(56(a,1),24(a,2,1)),flip(a)]. given #382 (H,wt=15): 688 x \ R(x,y,y \ 1) = a(x,y,y \ 1). [para(189(a,1),157(a,1,2))]. given #383 (H,wt=15): 689 x * a(x,y,y \ 1) = R(x,y,y \ 1). [para(688(a,1),14(a,1,2))]. given #384 (H,wt=16): 160 x \ ((x * (1 / y)) * y) = a(x,1 / y,y). [para(64(a,1),24(a,2,1)),flip(a)]. given #385 (H,wt=15): 693 x \ R(x,1 / y,y) = a(x,1 / y,y). [para(190(a,1),160(a,1,2))]. given #386 (H,wt=16): 178 (x * y) \ (x * (z * y)) = L(T(z,y),y,x). [para(119(a,1),28(a,2,2,2)),flip(a)]. given #387 (H,wt=16): 254 (x * y) / (x * K(x,y)) = R(y,x,K(x,y)). [para(95(a,1),30(a,2,1)),flip(a)]. given #388 (H,wt=16): 278 R(x,y / z,z) * y = (x * (y / z)) * z. [para(30(a,2),233(a,1,1))]. given #389 (H,wt=16): 309 R(x,y,y \ z) * z = (x * y) * (y \ z). [para(30(a,2),245(a,1,1))]. given #390 (H,wt=16): 348 x * L(y \ 1,y,z) = x * ((z * y) \ z). [hyper(21,a,158,a)]. given #391 (H,wt=16): 351 T((x * y) \ x,z) = L(T(y \ 1,z),y,x). [para(158(a,1),40(a,2,1)),flip(a)]. given #392 (H,wt=16): 356 T(x / (y * x),z) = R(T(1 / y,z),y,x). [para(159(a,1),42(a,2,1)),flip(a)]. given #393 (H,wt=16): 359 ((x * y) / z) * z != y * u | T(x,y) = u. [para(16(a,2),169(a,2)),flip(a)]. given #394 (H,wt=16): 360 T(x,y) * z != x * y | T(y,T(x,y)) = z. [para(119(a,1),169(a,2))]. given #395 (H,wt=16): 361 x * (y * (y \ z)) != z * u | T(x,z) = u. [para(88(a,2),169(a,2)),flip(a)]. given #396 (H,wt=16): 362 (x * (x \ y)) * z != z * u | T(y,z) = u. [para(90(a,2),169(a,2)),flip(a)]. given #397 (H,wt=16): 363 (x * y) * K(y,x) != x * z | T(y,x) = z. [para(95(a,2),169(a,2)),flip(a)]. given #398 (H,wt=16): 365 x * T(T(y,x),z) != u * x | T(y,z) = u. [para(38(a,1),172(a,1,2)),flip(b)]. given #399 (H,wt=16): 366 x * (y * (y \ 1)) != z * u | z \ x = u. [para(14(a,2),214(a,1,2))]. given #400 (H,wt=16): 368 x * T(T(y,x),z) != u | T(y,z) * x = u. [para(38(a,1),220(a,1,2))]. given #401 (H,wt=16): 372 (x * (x \ 1)) * y != z * u | y / u = z. [para(14(a,2),231(a,1,1))]. given #402 (H,wt=16): 373 ((1 / x) * x) * y != z * u | y / u = z. [para(16(a,2),231(a,1,1))]. given #403 (H,wt=16): 376 T(x,T(y,x)) != z | T(y,x) \ (y * x) = z. [para(138(a,1),280(a,1,1))]. given #404 (H,wt=16): 385 ((x * y) \ x) * (L(y \ 1,y,x) \ z) = z. [para(353(a,1),265(a,1,1,1))]. given #405 (H,wt=15): 710 L(x \ 1,x,y) != z | (y * x) \ y = z. [para(385(a,1),150(a,1))]. given #406 (H,wt=16): 386 L(x \ 1,x,y) * (((y * x) \ y) \ z) = z. [para(353(a,1),266(a,1,2,1,1))]. given #407 (H,wt=16): 389 L(T(x \ 1,y),x,1 / x) = T(1 / x,y). [para(380(a,1),40(a,2,1))]. given #408 (H,wt=14): 712 L(T(x \ 1,x),x,1 / x) = x \ 1. [hyper(236,a,121,a(flip),b,389,a)]. given #409 (H,wt=16): 399 x * K(y \ x,y) != z | (y \ x) * y = z. [para(96(a,1),216(a,1,2)),flip(b)]. given #410 (H,wt=16): 402 L(x \ T(y,z),x,z) = (z * x) \ (y * z). [para(166(a,1),28(a,2,2))]. given #411 (H,wt=12): 714 K(x,y) = L(x \ T(x,y),x,y). [hyper(236,a,26,a,b,402,a),flip(a)]. given #412 (H,wt=15): 716 L(x \ T(x,y),x,y) != z | K(x,y) = z. [para(402(a,2),285(a,1))]. given #413 (H,wt=16): 418 (x \ y) * x != y * z | K(x \ y,x) = z. [para(249(a,1),19(a,1))]. given #414 (H,wt=16): 419 x * K(y \ x,y) != z * y | y \ x = z. [para(249(a,2),20(a,1))]. given #415 (H,wt=16): 421 x \ ((y \ x) * y) != z | K(y \ x,y) = z. [para(249(a,1),283(a,1,2)),flip(b)]. given #416 (H,wt=16): 423 x \ (y * (x / y)) != z | K(y,x / y) = z. [para(250(a,1),283(a,1,2)),flip(b)]. given #417 (H,wt=16): 425 x \ (y * x) != z * u | z \ T(y,x) = u. [para(166(a,1),79(a,1,2)),flip(b)]. given #418 (H,wt=16): 426 x \ (y * (y \ x)) != z * u | z \ 1 = u. [para(293(a,1),424(a,1))]. given #419 (H,wt=16): 431 (x * (y * z)) / L(T(y,z),z,x) = x * z. [hyper(74,a,161,a(flip),b,103,a)]. given #420 (H,wt=16): 433 x * L(y,z \ x,z) = z * ((z \ x) * y). [hyper(236,a,90,a(flip),b,103,a(flip)),flip(a)]. given #421 (H,wt=16): 434 x * L(y,z,x / z) = (x / z) * (z * y). [hyper(236,a,89,a(flip),b,103,a(flip)),flip(a)]. given #422 (H,wt=14): 723 L(x \ y,x,y / x) = T(y / x,y). [hyper(168,a,88,a(flip),b,434,a),flip(a)]. given #423 (H,wt=16): 450 L((x \ y) \ z,x \ y,x) = y \ (x * z). [hyper(236,a,293,a(flip),b,105,a)]. given #424 (H,wt=16): 453 L(x \ y,x,z / x) = z \ ((z / x) * y). [para(16(a,1),105(a,2,1))]. given #425 (H,wt=16): 454 L(x \ y,x,z / y) = ((z / y) * x) \ z. [para(16(a,1),105(a,2,2))]. given #426 (H,wt=16): 459 x / L(y \ z,y,x / z) = (x / z) * y. [para(105(a,2),279(a,1,2))]. given #427 (H,wt=16): 463 R(x,x \ y,z) \ (y * z) = (x \ y) * z. [hyper(72,a,90,a(flip),b,113,a)]. given #428 (H,wt=16): 483 R(x / y,y,x \ z) = z / (y * (x \ z)). [para(14(a,1),114(a,2,1))]. given #429 (H,wt=16): 484 R(x / y,y,y \ z) = (x * (y \ z)) / z. [para(14(a,1),114(a,2,2))]. given #430 (H,wt=16): 485 R(x / (y / z),y / z,z) = (x * z) / y. [para(16(a,1),114(a,2,2))]. given #431 (H,wt=16): 489 R(x / y,y,x \ z) \ z = y * (x \ z). [para(114(a,2),228(a,1,1))]. given #432 (H,wt=16): 494 (x * y) / L(z,y / z,x) = x * (y / z). [para(16(a,1),137(a,1,1,2))]. given #433 (H,wt=16): 517 (x * T(y,x)) / x != z * u | z \ y = u. [para(164(a,1),292(a,1,2))]. given #434 (H,wt=16): 518 (x * T(y,x)) \ z != u | (y * x) \ z = u. [para(32(a,2),295(a,1,1,2))]. given #435 (H,wt=16): 524 x * (y * (y \ 1)) != z * u | x / u = z. [para(129(a,1),302(a,1))]. given #436 (H,wt=16): 525 x * ((1 / y) * y) != z * u | x / u = z. [para(130(a,1),302(a,1))]. given #437 (H,wt=16): 526 (1 * x) / y != z * u | (x / y) / u = z. [para(229(a,1),302(a,1,1))]. given #438 (H,wt=16): 532 (x * (x \ 1)) * y != z * u | z \ y = u. [para(125(a,1),305(a,1))]. given #439 (H,wt=16): 534 ((1 / x) * x) * y != z * u | z \ y = u. [para(16(a,2),531(a,1,1))]. given #440 (H,wt=16): 535 x * (y * T(z,y)) != u | x * (z * y) = u. [para(32(a,2),307(a,1,2,2))]. given #441 (H,wt=16): 538 x * T(x \ 1,x) != y | K(x \ 1,x) = y. [para(119(a,2),314(a,1))]. given #442 (H,wt=16): 549 x * T(y,x) != z * u | z \ (y * x) = u. [para(32(a,2),367(a,1,2))]. given #443 (H,wt=16): 550 x * T(y / x,x) != z * u | z \ y = u. [para(121(a,2),367(a,1,2))]. given #444 (H,wt=16): 557 x * T(y,x) != z * u | (y * x) / u = z. [para(138(a,1),374(a,1,1))]. given #445 (H,wt=16): 583 (1 * x) / y != z * u | z \ (x / y) = u. [para(229(a,1),516(a,1,1))]. given #446 (H,wt=16): 631 T((x * y) / (z * y),z) = R(z \ x,z,y). [para(114(a,1),185(a,1,1))]. given #447 (H,wt=16): 632 R(x \ (y / z),x,z) = T(y / (x * z),x). [para(235(a,1),185(a,1,1)),flip(a)]. given #448 (H,wt=16): 634 R(x \ y,x,x \ 1) = T(y * (x \ 1),x). [para(482(a,1),185(a,1,1)),flip(a)]. given #449 (H,wt=16): 635 (x / (y * x)) * y = y * R(y \ 1,y,x). [para(630(a,1),119(a,1,2)),flip(a)]. given #450 (H,wt=16): 668 T(T(x / y,z),y) != u | T(y \ x,z) = u. [para(408(a,1),287(a,1,1)),flip(b)]. given #451 (H,wt=16): 672 T(T((x * y) / x,z),x) != u | T(y,z) = u. [para(412(a,1),287(a,1,1)),flip(b)]. given #452 (H,wt=16): 677 x * a(x,y,y \ 1) = (x * y) * (y \ 1). [para(56(a,1),91(a,1,1))]. given #453 (H,wt=16): 692 x \ (K(x,1 / x) * x) = a(x,1 / x,x). [para(248(a,2),160(a,1,2,1))]. given #454 (H,wt=14): 754 T(K(x,1 / x),x) = a(x,1 / x,x). [hyper(284,a,692,a)]. given #455 (H,wt=16): 694 (x * y) \ (x * (z * y)) = T(L(z,y,x),y). [hyper(236,a,40,a(flip),b,178,a)]. given #456 (H,wt=16): 704 R(T(1 / x,x * y),x,y) = (x * y) \ y. [hyper(280,a,356,a),flip(a)]. given #457 (H,wt=16): 708 L(x \ 1,x,y) \ z = ((y * x) \ y) \ z. [hyper(80,a,385,a),flip(a)]. given #458 (H,wt=16): 746 R(x,y,z) = T(((y * x) * z) / (y * z),y). [para(13(a,1),631(a,2,1)),flip(a)]. given #459 (H,wt=12): 759 T(R(x,y,x),y * x) = T(x,y). [para(746(a,2),201(a,1,1))]. given #460 (H,wt=12): 760 R(T(x,y * x),y,x) = T(x,y). [hyper(236,a,42,a,b,759,a(flip)),flip(a)]. given #461 (H,wt=14): 763 R(T(x,y),y / x,x) = T(x,y / x). [para(16(a,1),760(a,1,1,2))]. given #462 (H,wt=12): 764 R(x,1 / x,x) = T(x,1 / x). [para(145(a,1),763(a,1,1))]. given #463 (H,wt=13): 765 T(x,1 / x) / x = x * (1 / x). [hyper(74,a,764,a(flip),b,190,a)]. given #464 (H,wt=13): 767 T(x,1 / x) / x = K(x,1 / x). [hyper(236,a,248,a,b,765,a)]. given #465 (H,wt=16): 748 T((x * y) * (x \ 1),x) = R(y,x,x \ 1). [para(13(a,1),634(a,1,1)),flip(a)]. given #466 (H,wt=17): 123 L(T(T(x,y),z),u,w) = T(L(T(x,z),u,w),y). [para(38(a,1),40(a,1,1))]. given #467 (H,wt=17): 124 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 #468 (H,wt=17): 219 (x * y) * L(z,y,x) != u | x * (y * z) = u. [para(28(a,2),216(a,1,2)),flip(b)]. given #469 (H,wt=17): 225 R(x,y,z) * (y * z) != u | (x * y) * z = u. [para(30(a,2),221(a,1,1)),flip(b)]. given #470 (H,wt=17): 260 T(L(x,y,z),x \ u) = L((x \ u) \ u,y,z). [para(120(a,1),40(a,1,1)),flip(a)]. given #471 (H,wt=17): 262 T(x \ y,T(x,x \ y)) = ((x \ y) \ y) \ y. [para(120(a,2),120(a,1,2))]. given #472 (H,wt=17): 297 (x * (y * z)) / L(z,y,x) != u | x * y = u. [para(28(a,2),294(a,1,2)),flip(b)]. given #473 (H,wt=17): 371 R(x,y,y \ 1) != z | (x * y) * (y \ 1) = z. [para(30(a,2),226(a,1)),flip(b)]. given #474 (H,wt=17): 404 x * T(T(T(y,x),z),u) = T(T(y,z),u) * x. [para(38(a,1),180(a,1,2,1))]. given #475 (H,wt=17): 436 (x * y) * z != x * (y * u) | L(u,y,x) = z. [para(103(a,1),19(a,1)),flip(a)]. given #476 (H,wt=17): 437 (x * y) * L(z,y,x) != x * u | y * z = u. [para(103(a,2),19(a,1))]. given #477 (H,wt=17): 438 (x * y) * L(z,y,x) != u * (y * z) | u = x. [para(103(a,2),20(a,2)),flip(a)]. given #478 (H,wt=17): 447 (x * y) \ (x * (y * z)) != u | L(z,y,x) = u. [para(103(a,1),283(a,1,2)),flip(b)]. given #479 (H,wt=15): 783 x \ (1 * (x * y)) != z | L(y,x,1) = z. [para(11(a,1),447(a,1,1))]. given #480 (H,wt=17): 448 x * ((x \ 1) * y) != z | L(y,x \ 1,x) = z. [para(103(a,1),151(a,1)),flip(b)]. given #481 (H,wt=17): 449 (1 / x) * (x * y) != z | L(y,x,1 / x) = z. [para(103(a,1),152(a,1)),flip(b)]. given #482 (H,wt=17): 467 (x * y) * z != u * (y * z) | R(x,y,z) = u. [para(113(a,1),20(a,1))]. given #483 (H,wt=17): 475 ((x * y) * z) / (y * z) != u | R(x,y,z) = u. [para(113(a,1),296(a,1,1)),flip(b)]. given #484 (H,wt=17): 476 (R(x,y,z) * (y * z)) / z != u | x * y = u. [para(113(a,2),296(a,1,1)),flip(b)]. given #485 (H,wt=17): 477 (x * y) * (y \ 1) != z | R(x,y,y \ 1) = z. [para(113(a,1),154(a,1)),flip(b)]. given #486 (H,wt=17): 503 x \ L(y,x \ 1,x) != z | (x \ 1) * y = z. [para(188(a,1),283(a,1,2)),flip(b)]. given #487 (H,wt=17): 504 x \ L(y,x \ 1,x) != (x \ 1) * z | z = y. [para(188(a,1),79(a,1,2))]. given #488 (H,wt=17): 508 x * (y * z) != u | (x * y) * L(z,y,x) = u. [para(212(a,1),216(a,1,2)),flip(b)]. given #489 (H,wt=17): 520 L((x \ y) \ 1,x \ y,x) != z | y \ x = z. [para(158(a,2),295(a,1))]. given #490 (H,wt=17): 537 L((x \ 1) \ y,x \ 1,x) != z | x * y = z. [para(188(a,1),307(a,1))]. given #491 (H,wt=17): 563 R((x / y) / z,z,y) != u | x / (z * y) = u. [para(114(a,2),379(a,1))]. given #492 (H,wt=17): 564 x / ((y \ 1) * x) != z | R(y,y \ 1,x) = z. [para(387(a,1),294(a,1,2)),flip(b)]. given #493 (H,wt=17): 566 R(x,y,y \ 1) / (y \ 1) != z * y | z = x. [para(395(a,2),20(a,2)),flip(a)]. given #494 (H,wt=17): 574 (1 / x) \ L(y,x,1 / x) != z | x * y = z. [para(430(a,1),283(a,1,2)),flip(b)]. given #495 (H,wt=17): 601 L(x,y,x) * y != y * z | T(x,x * y) = z. [para(598(a,1),19(a,1))]. given #496 (H,wt=17): 610 L(x / y,z,u) * y = y * L(y \ x,z,u). [para(121(a,1),181(a,1,2,1)),flip(a)]. given #497 (H,wt=16): 799 L(1 / x,x,y) * x = x * ((y * x) \ y). [hyper(236,a,348,a(flip),b,610,a)]. given #498 (H,wt=16): 800 (x * ((y * x) \ y)) / x = L(1 / x,x,y). [hyper(74,a,348,a(flip),b,610,a)]. given #499 (H,wt=17): 611 L((x * y) / x,z,u) * x = x * L(y,z,u). [para(162(a,1),181(a,1,2,1)),flip(a)]. NOTE: Back_subsumption disabled, ratio of kept to back_subsumed is 394 (0.00 of 8.01 sec). given #500 (H,wt=17): 618 R(x / y,z,u) * y = y * R(y \ x,z,u). [para(121(a,1),182(a,1,2,1)),flip(a)]. given #501 (H,wt=17): 619 R(T(x,y),z,u) * x = x * R(T(x,y),z,u). [para(131(a,1),182(a,1,2,1)),flip(a)]. given #502 (H,wt=10): 811 T(x,R(T(x,y),z,u)) = x. [hyper(169,a,619,a)]. given #503 (H,wt=17): 620 R((x * y) / x,z,u) * x = x * R(y,z,u). [para(162(a,1),182(a,1,2,1)),flip(a)]. given #504 (H,wt=17): 628 (x * L(x \ y,z,u)) / x = L(y / x,z,u). [para(184(a,1),163(a,1,1,2))]. given #505 (H,wt=16): 821 L(T(x,y) / x,x,y) = (x * K(x,y)) / x. [para(714(a,2),628(a,1,1,2)),flip(a)]. given #506 (H,wt=17): 629 (x * R(x \ y,z,u)) / x = R(y / x,z,u). [para(185(a,1),163(a,1,1,2))]. given #507 (H,wt=17): 654 x \ (x / y) != z | L(y \ 1,y,x / y) = z. [para(16(a,1),383(a,1,1))]. given #508 (H,wt=17): 656 (x \ y) / y != z | R(1 / x,x,x \ y) = z. [para(14(a,1),388(a,1,2))]. given #509 (H,wt=17): 669 x * ((y * T(z,x)) / y) = ((y * z) / y) * x. [para(412(a,2),119(a,1,2))]. given #510 (H,wt=17): 670 T((x * (y / z)) / x,z) = (x * (z \ y)) / x. [para(121(a,1),412(a,1,1,2)),flip(a)]. given #511 (H,wt=17): 697 (x * (1 / y)) * y != z | R(x,1 / y,y) = z. [para(278(a,1),83(a,1)),flip(b)]. given #512 (H,wt=17): 713 (1 / x) \ T(1 / x,y) = x * T(x \ 1,y). [hyper(72,a,389,a(flip),b,430,a)]. given #513 (H,wt=17): 728 L(x \ y,x,y / x) != z | T(y / x,y) = z. [para(453(a,2),284(a,1))]. given #514 (H,wt=17): 734 R(1 / x,x,x \ y) != z | (x \ y) / y = z. [para(484(a,2),301(a,1))]. given #515 (H,wt=17): 739 R(1 / (x / y),x / y,y) != z | y / x = z. [para(485(a,2),301(a,1))]. given #516 (H,wt=17): 747 ((x \ y) * x) * (x \ 1) = T(y * (x \ 1),x). [hyper(236,a,189,a,b,634,a(flip)),flip(a)]. given #517 (H,wt=17): 769 R(T(T(x,y),z),u,w) = T(T(R(x,u,w),z),y). [hyper(236,a,42,a,b,124,a),flip(a)]. given #518 (H,wt=17): 772 L(x,y,1 / y) != z | (1 / y) * (y * x) = z. [para(63(a,1),219(a,1))]. given #519 (H,wt=17): 784 (x * y) \ (x * z) != u | L(y \ z,y,x) = u. [para(14(a,1),447(a,1,2,2))]. given #520 (H,wt=17): 785 (x * y) \ z != u | L(y \ (x \ z),y,x) = u. [para(58(a,1),447(a,1,2))]. given #521 (H,wt=17): 789 x * K(x \ 1,x) != y | L(x,x \ 1,x) = y. [para(187(a,2),448(a,1,2))]. given #522 (H,wt=17): 793 x / (y * z) != u | R((x / z) / y,y,z) = u. [para(68(a,1),475(a,1,1))]. given #523 (H,wt=17): 796 L(x,x \ 1,x) != y | x * K(x \ 1,x) = y. [para(273(a,1),537(a,1,1))]. given #524 (H,wt=17): 797 R(x / y,y,z) != u | (x * z) / (y * z) = u. [para(15(a,1),563(a,1,1,1))]. given #525 (H,wt=17): 806 L((x * y) / x,z,u) = (x * L(y,z,u)) / x. [hyper(87,a,611,a),flip(a)]. given #526 (H,wt=17): 813 R((x * y) / x,z,u) = (x * R(y,z,u)) / x. [hyper(87,a,620,a),flip(a)]. given #527 (H,wt=18): 92 (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). [para(14(a,1),24(a,2,2,1)),flip(a)]. given #528 (H,wt=18): 93 (x * y) \ ((x * (y / z)) * z) = a(x,y / z,z). [para(16(a,1),24(a,2,1,2)),flip(a)]. given #529 (H,wt=18): 94 ((x / y) * (y * z)) \ (x * z) = a(x / y,y,z). [para(16(a,1),24(a,2,2,1)),flip(a)]. given #530 (H,wt=18): 111 R(x,y,(x * y) \ z) = z / (y * ((x * y) \ z)). [para(14(a,1),30(a,2,1))]. given #531 (H,wt=18): 177 (x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y). [para(119(a,1),28(a,2,1)),flip(a)]. given #532 (H,wt=18): 179 ((x * y) * z) / (T(x,y) * z) = R(y,T(x,y),z). [para(119(a,1),30(a,2,1,1)),flip(a)]. given #533 (H,wt=18): 276 (K(x \ 1,x) * y) / (x * y) = R(x \ 1,x,y). [para(187(a,2),30(a,2,1,1)),flip(a)]. given #534 (H,wt=18): 277 R(x,y,(x * y) \ z) \ z = y * ((x * y) \ z). [para(30(a,2),228(a,1,1))]. given #535 (H,wt=18): 315 x / L(y,z,x / (z * y)) = (x / (z * y)) * z. [para(28(a,2),279(a,1,2))]. given #536 (H,wt=18): 352 L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z). [para(158(a,1),45(a,1,1)),flip(a)]. given #537 (H,wt=17): 851 L((x * y) \ x,y,1 / y) = L(1 / y,y,x). [para(380(a,1),352(a,1,1)),flip(a)]. given #538 (H,wt=18): 357 R(R(1 / x,y,z),x,u) = R(u / (x * u),y,z). [para(159(a,1),46(a,1,1)),flip(a)]. given #539 (H,wt=18): 369 x * L(T(y,x),z,u) != w | L(y,z,u) * x = w. [para(40(a,2),220(a,1,2))]. given #540 (H,wt=18): 370 x * R(T(y,x),z,u) != w | R(y,z,u) * x = w. [para(42(a,2),220(a,1,2))]. given #541 (H,wt=18): 377 T(x * y,K(y,x)) != z | K(y,x) \ (y * x) = z. [para(136(a,1),280(a,1,1))]. given #542 (H,wt=18): 409 x * T(x \ y,z) != u | T(y / x,z) * x = u. [para(183(a,1),220(a,1,2))]. given #543 (H,wt=18): 410 (x * T(x \ y,z)) / x != u | T(y / x,z) = u. [para(183(a,1),300(a,1,1,2)),flip(b)]. given #544 (H,wt=18): 414 x * T(y,z) != u * x | T((x * y) / x,z) = u. [para(201(a,1),172(a,1,2)),flip(b)]. given #545 (H,wt=18): 415 (x * T(y,z)) / x != u | T((x * y) / x,z) = u. [para(201(a,1),300(a,1,1,2)),flip(b)]. given #546 (H,wt=18): 442 (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). [para(40(a,1),103(a,1,2))]. given #547 (H,wt=18): 445 (x * y) * L(z,T(x,y),y) = y * (T(x,y) * z). [para(119(a,1),103(a,1,1))]. given #548 (H,wt=18): 452 L(x \ ((y * x) / y),x,y) = K(y,(y * x) / y). [hyper(236,a,98,a(flip),b,105,a)]. given #549 (H,wt=18): 456 T((x * y) \ (x * z),u) = L(T(y \ z,u),y,x). [para(105(a,1),40(a,2,1)),flip(a)]. given #550 (H,wt=18): 457 L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). [para(119(a,1),105(a,2,1))]. given #551 (H,wt=18): 458 L(x \ (1 / y),x,y) = (y * x) \ K(y,1 / y). [para(248(a,2),105(a,2,2))]. given #552 (H,wt=18): 465 R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y). [hyper(236,a,161,a(flip),b,113,a(flip)),flip(a)]. given #553 (H,wt=14): 865 R(T(x,x * y),y,T(x,y)) = T(x,y). [hyper(17,a,182,a,b,465,a(flip)),flip(a)]. given #554 (H,wt=18): 470 T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. [para(42(a,1),113(a,1,1))]. given #555 (H,wt=18): 486 R(x / y,y,T(z,y)) = (x * T(z,y)) / (z * y). [para(119(a,1),114(a,2,2))]. given #556 (H,wt=18): 487 T(R(x / y,y,z),y * z) = (y * z) \ (x * z). [para(114(a,2),121(a,1,1))]. given #557 (H,wt=18): 496 R(x,T(y,x),z) \ ((y * x) * z) = T(y,x) * z. [para(119(a,1),143(a,1,2,1))]. given #558 (H,wt=18): 502 L(T(x,y \ 1),y \ 1,y) = y * (x * (y \ 1)). [hyper(236,a,161,a(flip),b,188,a(flip))]. given #559 (H,wt=18): 506 R(x,x \ y,(x \ y) \ 1) = y * ((x \ y) \ 1). [hyper(236,a,90,a(flip),b,189,a(flip))]. given #560 (H,wt=18): 509 L(T(x \ (y \ z),u),x,y) = T((y * x) \ z,u). [para(227(a,1),40(a,2,1))]. given #561 (H,wt=18): 511 L(x,(y \ z) / x,y) = (y * ((y \ z) / x)) \ z. [para(65(a,1),227(a,1,1))]. given #562 (H,wt=18): 513 (x \ y) \ y != z * u | z \ T(x,x \ y) = u. [para(197(a,1),281(a,1,1))]. given #563 (H,wt=18): 514 (x * (x \ y)) \ z != u * w | u \ (y \ z) = w. [para(240(a,1),281(a,1,1))]. given #564 (H,wt=18): 530 x \ (y * (y \ (x * z))) != u * w | u \ z = w. [para(14(a,2),305(a,1,2))]. given #565 (H,wt=18): 542 T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y). [para(350(a,1),40(a,2,1)),flip(a)]. given #566 (H,wt=18): 543 T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y). [para(354(a,1),42(a,2,1)),flip(a)]. given #567 (H,wt=18): 546 x * (y * (y \ (x \ z))) != u * w | u \ z = w. [para(14(a,2),367(a,1,2))]. given #568 (H,wt=18): 551 x * (y * (y \ z)) != u * w | u \ (x * z) = w. [para(242(a,1),367(a,1,2))]. given #569 (H,wt=18): 554 (x \ (x * (y / z))) * z != u * w | y / w = u. [para(13(a,2),374(a,1,1))]. given #570 (H,wt=18): 558 (x * y) * K(y,x) != z * u | (y * x) / u = z. [para(136(a,1),374(a,1,1))]. given #571 (H,wt=18): 559 ((x / y) * y) * z != u * w | (x * z) / w = u. [para(241(a,1),374(a,1,1))]. given #572 (H,wt=18): 568 ((x / y) * y) * z != u * w | u \ (x * z) = w. [para(241(a,1),427(a,1,1))]. given #573 (H,wt=18): 575 L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z). [para(451(a,1),40(a,2,1))]. given #574 (H,wt=18): 579 R(T(x / (1 / y),z),1 / y,y) = T(x * y,z). [para(481(a,1),42(a,2,1))]. given #575 (H,wt=18): 580 R(T(x / y,z),y,y \ 1) = T(x * (y \ 1),z). [para(482(a,1),42(a,2,1))]. given #576 (H,wt=18): 586 x * (y * (y \ z)) != u * w | (x * z) / w = u. [para(242(a,1),529(a,1,2))]. given #577 (H,wt=18): 587 (x * (x \ y)) * z != u * w | u \ (y * z) = w. [para(90(a,2),545(a,1))]. given #578 (H,wt=18): 592 L(T(x \ y,z),x,1 / x) = T((1 / x) * y,z). [para(572(a,1),40(a,2,1))]. given #579 (H,wt=18): 597 L(R(T(x,y),z,u),y,x) = R(T(x,x * y),z,u). [para(595(a,1),44(a,1,1)),flip(a)]. given #580 (H,wt=18): 600 L(x,x \ y,x) * (x \ y) = (x \ y) * T(x,y). [para(14(a,1),598(a,1,2,2)),flip(a)]. given #581 (H,wt=18): 604 ((x \ y) * T(x,y)) / (x \ y) = L(x,x \ y,x). [para(14(a,1),599(a,1,1,2,2))]. given #582 (H,wt=18): 606 x * (y * T(z,x * y)) = L(z,y,x) * (x * y). [hyper(236,a,103,a(flip),b,181,a(flip)),flip(a)]. given #583 (H,wt=18): 607 L(x,y,z) * u != u * w | L(T(x,u),y,z) = w. [para(181(a,1),19(a,1))]. given #584 (H,wt=18): 614 (x * y) * R(T(z,x * y),x,y) = (z * x) * y. [hyper(236,a,113,a(flip),b,182,a)]. given #585 (H,wt=13): 890 (x * y) * T(y,x) = (y * x) * y. [para(760(a,1),614(a,1,2))]. given #586 (H,wt=15): 891 (x * (y / x)) * x = y * T(x,y / x). [hyper(303,a,890,a),flip(a)]. given #587 (H,wt=16): 892 (x * y) * z != (y * x) * y | T(y,x) = z. [para(890(a,1),19(a,1)),flip(a)]. given #588 (H,wt=18): 615 (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). [hyper(72,a,113,a(flip),b,182,a)]. given #589 (H,wt=18): 616 R(x,y,z) * u != u * w | R(T(x,u),y,z) = w. [para(182(a,1),19(a,1))]. given #590 (H,wt=18): 633 R((x / y) \ 1,x / y,y) = T(y / x,x / y). [para(355(a,1),185(a,1,1)),flip(a)]. given #591 (H,wt=18): 650 ((x \ y) \ y) \ z != u | T(x,x \ y) \ z = u. [para(258(a,2),295(a,1,1))]. given #592 (H,wt=18): 651 x * ((y \ z) \ z) != u | x * T(y,y \ z) = u. [para(258(a,2),307(a,1,2))]. given #593 (H,wt=18): 653 x / ((y \ z) \ z) != u | x / T(y,y \ z) = u. [para(313(a,1),296(a,1,1)),flip(b)]. given #594 (H,wt=18): 658 x \ T(y,y \ z) != u | x \ ((y \ z) \ z) = u. [para(393(a,1),519(a,1))]. given #595 (H,wt=18): 665 T(((x \ y) * x) / (x \ y),y) = L(x,x \ y,x). [para(14(a,1),663(a,1,2))]. given #596 (H,wt=18): 666 T(T((x * y) / x,z),y * x) = T(L(y,x,y),z). [para(663(a,1),38(a,1,1)),flip(a)]. given #597 (H,wt=18): 667 T(x / y,z) * y != u | y * T(y \ x,z) = u. [para(408(a,1),221(a,1,1)),flip(b)]. given #598 (H,wt=18): 671 T((x * y) / x,z) * x != u | x * T(y,z) = u. [para(412(a,1),221(a,1,1)),flip(b)]. given #599 (H,wt=18): 674 x / T(y,y \ z) != u | x / ((y \ z) \ z) = u. [para(646(a,1),296(a,1,1)),flip(b)]. given #600 (H,wt=18): 676 (x * y) * a(x,z,z \ y) = (x * z) * (z \ y). [para(14(a,1),91(a,1,1,2))]. given #601 (H,wt=18): 685 R(x,x \ y,y \ z) \ z = (x \ y) * (y \ z). [para(110(a,2),228(a,1,1))]. given #602 (H,wt=18): 690 x \ R(x,y,y \ 1) != z | a(x,y,y \ 1) = z. [para(689(a,1),283(a,1,2)),flip(b)]. given #603 (H,wt=18): 695 x * ((y * x) \ (y * (z * x))) = L(z,x,y) * x. [para(178(a,2),181(a,1,2))]. given #604 (H,wt=18): 698 T(R(x / y,y,y \ z),z) = z \ (x * (y \ z)). [hyper(394,a,89,a(flip),b,309,a)]. given #605 (H,wt=18): 699 x * R(T(y,x),z,z \ x) = (y * z) * (z \ x). [hyper(236,a,182,a,b,309,a(flip)),flip(a)]. given #606 (H,wt=18): 700 x \ ((y * z) * (z \ x)) = R(T(y,x),z,z \ x). [hyper(72,a,309,a(flip),b,182,a)]. given #607 (H,wt=18): 706 x * T(x \ (y * x),z) != u | T(y,z) * x = u. [para(32(a,1),368(a,1,2,1))]. given #608 (H,wt=18): 717 x \ (y * T(y \ x,y)) != z | K(y \ x,y) = z. [para(119(a,2),421(a,1,2))]. given #609 (H,wt=18): 719 x * ((x \ y) * T(z,y)) = L(z,x \ y,x) * y. [hyper(236,a,181,a(flip),b,433,a(flip))]. given #610 (H,wt=18): 724 (x / y) * (y * T(z,x)) = L(z,y,x / y) * x. [hyper(236,a,181,a(flip),b,434,a(flip))]. given #611 (H,wt=18): 731 R(x,x \ (y / z),z) \ y = (x \ (y / z)) * z. [para(16(a,1),463(a,1,2))]. given #612 (H,wt=18): 744 ((x / y) * y) / z != u * w | u \ (x / z) = w. [para(229(a,2),583(a,1,1))]. given #613 (H,wt=18): 756 T(L(x,y,z / y),y) = z \ ((z / y) * (x * y)). [para(16(a,1),694(a,1,1)),flip(a)]. given #614 (H,wt=18): 758 (((x * y) * z) / (x * z)) * x = x * R(y,x,z). [para(746(a,2),119(a,1,2)),flip(a)]. given #615 (H,wt=18): 766 R(R(x,y,z),1 / x,x) = R(T(x,1 / x),y,z). [para(764(a,1),46(a,1,1)),flip(a)]. given #616 (H,wt=18): 768 (x * R(y,x,x \ 1)) / x = (x * y) * (x \ 1). [para(748(a,1),163(a,1,1,2))]. given #617 (H,wt=18): 817 T(L(x / y,z,u),y) != w | L(y \ x,z,u) = w. [para(628(a,1),287(a,1,1)),flip(b)]. given #618 (H,wt=18): 818 (x * ((y * x) \ (y * z))) / x = L(z / x,x,y). [para(105(a,1),628(a,1,1,2))]. given #619 (H,wt=18): 819 L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. [para(227(a,1),628(a,1,1,2)),flip(a)]. given #620 (H,wt=18): 820 (x * ((1 / x) * y)) / x = L(y / x,x,1 / x). [para(572(a,1),628(a,1,1,2))]. given #621 (H,wt=18): 854 (1 / x) * (x * ((y * x) \ y)) = L(1 / x,x,y). [hyper(772,a,851,a)]. given #622 (H,wt=18): 864 T(((x * y) * x) / (x * y),y) = R(x,y,T(x,y)). [hyper(18,a,406,a,b,465,a),flip(a)]. given #623 (H,wt=18): 893 (x * y) \ (y * T(x,y / x)) = a(x,y / x,x). [para(891(a,1),93(a,1,2))]. given #624 (H,wt=18): 894 T(T((x * y) / x,z),y * x) = L(T(y,z),x,y). [hyper(236,a,40,a,b,666,a)]. given #625 (H,wt=19): 407 (x \ y) * T((x \ y) \ y,z) = T(x,z) * (x \ y). [para(120(a,1),180(a,1,2,1))]. given #626 (H,wt=19): 416 ((x / y) * T(y,z)) / (x / y) = T(x / (x / y),z). [para(186(a,1),204(a,1,1,2,1))]. given #627 (H,wt=19): 479 R(x,y,z) * (y * z) != z * u | T(x * y,z) = u. [para(113(a,2),169(a,2)),flip(a)]. given #628 (H,wt=19): 521 L((x \ y) \ z,x \ y,x) != u | y \ (x * z) = u. [para(105(a,2),295(a,1))]. given #629 (H,wt=19): 570 (x * y) \ x != z * u | L(y \ 1,y,x) / u = z. [para(349(a,1),428(a,1,2))]. given #630 (H,wt=19): 645 ((x * ((y \ z) \ z)) * u) / u = x * T(y,y \ z). [hyper(236,a,15,a,b,257,a),flip(a)]. given #631 (H,wt=18): 909 x * T(y,y \ z) != u | x * ((y \ z) \ z) = u. [para(645(a,1),296(a,1)),flip(b)]. given #632 (H,wt=19): 679 (x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u. [para(91(a,1),283(a,1,2)),flip(b)]. given #633 (H,wt=19): 701 (x * y) * (y \ z) != u * z | R(x,y,y \ z) = u. [para(309(a,1),20(a,1))]. given #634 (H,wt=19): 709 ((x * y) \ x) * z != u | L(y \ 1,y,x) \ u = z. [para(385(a,1),19(a,1)),flip(a)]. given #635 (H,wt=19): 711 ((x * y) \ x) \ z != u | L(y \ 1,y,x) \ z = u. [para(385(a,1),283(a,1,2)),flip(b)]. given #636 (H,wt=19): 718 (x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u. [para(431(a,1),282(a,1,1)),flip(b)]. given #637 (H,wt=19): 720 x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u. [para(433(a,1),19(a,1))]. given #638 (H,wt=19): 722 x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u. [para(433(a,1),283(a,1,2)),flip(b)]. given #639 (H,wt=19): 730 x / L(y \ z,y,x / z) != u | (x / z) * y = u. [para(454(a,2),294(a,1,2)),flip(b)]. given #640 (H,wt=19): 732 (x * y) / ((z \ x) * y) != u | R(z,z \ x,y) = u. [para(463(a,1),294(a,1,2)),flip(b)]. given #641 (H,wt=19): 805 L(1 / x,x,y) * x != z | x * ((y * x) \ y) = z. [para(800(a,1),221(a,1,1)),flip(b)]. given #642 (H,wt=19): 825 ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). [para(121(a,1),669(a,1,2,1,2)),flip(a)]. given #643 (H,wt=19): 827 (x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y. [para(670(a,1),163(a,1,1,2))]. given #644 (H,wt=19): 828 ((x * (y / z)) / x) \ (z * ((x * (z \ y)) / x)) = z. [para(670(a,1),164(a,1,2,2))]. given #645 (H,wt=19): 829 (x * K(y \ x,y)) * (y \ 1) = T(x * (y \ 1),y). [para(249(a,2),747(a,1,1))]. given #646 (H,wt=19): 830 T(T(R(x / y,z,u),w),y) = R(T(y \ x,w),z,u). [para(121(a,1),769(a,1,1,1)),flip(a)]. given #647 (H,wt=19): 831 x \ (y * z) != u | L((y \ x) \ z,y \ x,y) = u. [para(14(a,1),784(a,1,1))]. given #648 (H,wt=19): 867 (T(x,x * y) * y) * T(x,y) = T(x,y) * (x * y). [para(865(a,1),465(a,1,1)),flip(a)]. given #649 (H,wt=15): 922 T(T(x,x * y) * y,T(x,y)) = x * y. [hyper(168,a,867,a,b,xx)]. given #650 (H,wt=19): 876 x * (((x \ 1) \ y) * (x \ 1)) = T(x * y,x \ 1). [hyper(236,a,502,a(flip),b,575,a(flip)),flip(a)]. given #651 (H,wt=19): 877 (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). [hyper(72,a,575,a(flip),b,188,a),flip(a)]. given #652 (H,wt=17): 927 (x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). [para(12(a,1),877(a,2,2,1))]. given #653 (H,wt=13): 930 T(x,y) * (x \ 1) = x \ T(x,y). [hyper(236,a,407,a(flip),b,927,a(flip)),flip(a)]. given #654 (H,wt=17): 929 T(1 / (x \ 1),y) * (x \ 1) = x \ T(x,y). [hyper(409,a,927,a)]. given #655 (H,wt=19): 878 x \ T(x * y,x \ 1) = ((x \ 1) \ y) * (x \ 1). [hyper(72,a,575,a(flip),b,502,a(flip))]. given #656 (H,wt=19): 880 T(x * (y \ 1),z) / (y \ 1) = T(x / y,z) * y. [hyper(74,a,580,a(flip),b,189,a)]. given #657 (H,wt=19): 881 (1 / x) * (x * T(x \ y,z)) = T((1 / x) * y,z). [hyper(772,a,592,a)]. given #658 (H,wt=17): 935 (1 / x) * ((x \ y) * x) = T((1 / x) * y,x). [hyper(535,a,881,a)]. given #659 (H,wt=19): 882 (1 / x) \ T((1 / x) * y,z) = x * T(x \ y,z). [hyper(72,a,592,a(flip),b,430,a)]. given #660 (H,wt=19): 903 T((x * y) * (x \ 1),x) != z | R(y,x,x \ 1) = z. [para(768(a,1),287(a,1,1)),flip(b)]. given #661 (H,wt=19): 915 (x * ((y * z) / y)) / x = (y * ((x * z) / x)) / y. [para(13(a,1),827(a,1,1,2,1,2))]. given #662 (H,wt=19): 925 x \ T(x * (y * (x \ 1)),z) = T(y,z) * (x \ 1). [hyper(706,a,877,a),flip(a)]. given #663 (H,wt=19): 926 (x \ 1) \ (x \ T(x * y,z)) = T((x \ 1) \ y,z). [hyper(80,a,877,a)]. given #664 (H,wt=19): 928 (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(14(a,1),877(a,2,2,1))]. given #665 (H,wt=19): 933 T(x * (y \ 1),z) / (y \ 1) = y * T(y \ x,z). [hyper(236,a,405,a(flip),b,880,a)]. given #666 (H,wt=17): 944 T(x \ 1,y) / (x \ 1) = x * T(x \ 1,y). [para(11(a,1),933(a,1,1,1))]. given #667 (H,wt=19): 937 x * T(x \ ((1 / x) \ y),z) = (1 / x) \ T(y,z). [para(14(a,1),882(a,1,2,1)),flip(a)]. given #668 (H,wt=19): 939 T(x * (y * (x \ 1)),z) = x * (T(y,z) * (x \ 1)). [para(925(a,1),14(a,1,2)),flip(a)]. given #669 (H,wt=19): 940 (x \ 1) \ (x \ T(y,z)) = T((x \ 1) \ (x \ y),z). [para(14(a,1),926(a,1,2,2,1))]. given #670 (H,wt=19): 942 (x \ T(y,z)) / (x \ 1) = T((x \ y) / (x \ 1),z). [hyper(74,a,928,a(flip),b,405,a)]. given #671 (H,wt=19): 945 (x * T(x \ y,z)) * (x \ 1) = T(y * (x \ 1),z). [para(933(a,1),16(a,1,1))]. given #672 (H,wt=19): 949 T((x * y) * (x \ 1),z) = (x * T(y,z)) * (x \ 1). [para(13(a,1),945(a,1,1,2,1)),flip(a)]. given #673 (H,wt=20): 173 (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z,T(y,z)). [para(119(a,1),24(a,2,1,2)),flip(a)]. given #674 (H,wt=20): 174 (x * (T(y,x) * z)) \ ((y * x) * z) = a(x,T(y,x),z). [para(119(a,1),24(a,2,2,1)),flip(a)]. given #675 (H,wt=20): 253 (x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x). [para(95(a,1),28(a,2,2,2)),flip(a)]. given #676 (H,wt=20): 269 L(T(x,x \ y),x \ y,z) = (z * (x \ y)) \ (z * y). [para(165(a,1),28(a,2,2,2))]. given #677 (H,wt=20): 310 K(x,1 / x) \ (x * ((1 / x) * y)) = L(y,1 / x,x). [para(248(a,2),28(a,2,1)),flip(a)]. given #678 (H,wt=14): 950 K(x,1 / x) \ x = L(x,1 / x,x). [para(64(a,1),310(a,1,2))]. given #679 (H,wt=14): 951 K(x,1 / x) * L(x,1 / x,x) = x. [para(950(a,1),14(a,1,2))]. given #680 (H,wt=17): 952 K(x,1 / x) * y != x | L(x,1 / x,x) = y. [para(951(a,1),19(a,1)),flip(a)]. given #681 (H,wt=20): 378 T(x \ y,T(x,x \ y)) != z | T(x,x \ y) \ y = z. [para(197(a,1),280(a,1,1))]. given #682 (H,wt=20): 420 (x * y) \ (x * ((z \ y) * z)) = L(K(z \ y,z),y,x). [para(249(a,1),28(a,2,2,2)),flip(a)]. given #683 (H,wt=20): 443 (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). [para(44(a,2),103(a,1,2))]. given #684 (H,wt=20): 444 (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). [para(45(a,1),103(a,1,2))]. given #685 (H,wt=20): 446 K(x \ 1,x) * L(y,x,x \ 1) = (x \ 1) * (x * y). [para(187(a,2),103(a,1,1))]. given #686 (H,wt=20): 466 (R(x,y,z) * y) \ ((x * y) * z) = L(z,y,R(x,y,z)). [hyper(72,a,113,a(flip),b,103,a)]. given #687 (H,wt=20): 471 L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. [para(44(a,1),113(a,1,1))]. given #688 (H,wt=20): 472 R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. [para(46(a,1),113(a,1,1))]. given #689 (H,wt=20): 488 R(x / T(y,z),T(y,z),y) = (x * y) / (y * T(y,z)). [para(194(a,1),114(a,2,2))]. given #690 (H,wt=20): 495 (x * (y * z)) / L(K(y,z),z * y,x) = x * (z * y). [para(95(a,1),137(a,1,1,2))]. given #691 (H,wt=20): 497 R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z. [para(95(a,1),143(a,1,2,1))]. given #692 (H,wt=20): 501 x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u). [hyper(72,a,45,a,b,188,a)]. given #693 (H,wt=20): 505 L(R(x,y,y \ 1),z,u) / (y \ 1) = L(x,z,u) * y. [hyper(74,a,44,a(flip),b,189,a)]. given #694 (H,wt=20): 507 L(R(x,1 / y,y),z,u) / y = L(x,z,u) * (1 / y). [hyper(74,a,44,a(flip),b,190,a)]. given #695 (H,wt=19): 965 L(T(x,1 / x),y,z) / x = L(x,y,z) * (1 / x). [para(764(a,1),507(a,1,1,1))]. given #696 (H,wt=20): 510 L(L(x \ (y \ z),u,w),x,y) = L((y * x) \ z,u,w). [para(227(a,1),45(a,1,1)),flip(a)]. given #697 (H,wt=20): 533 x \ ((y \ x) * y) != z * u | z \ K(y \ x,y) = u. [para(249(a,1),305(a,1,2))]. given #698 (H,wt=20): 562 T(x \ y,T(x,x \ y)) != z | ((x \ y) \ y) \ y = z. [para(120(a,2),375(a,1,2))]. given #699 (H,wt=20): 573 (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). [hyper(72,a,45,a,b,430,a)]. given #700 (H,wt=19): 969 (1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z). [para(380(a,1),573(a,1,2,1))]. given #701 (H,wt=20): 576 L(R((x \ 1) \ y,z,u),x \ 1,x) = R(x * y,z,u). [para(451(a,1),44(a,1,1)),flip(a)]. given #702 (H,wt=20): 581 R(R(x / y,z,u),y,y \ 1) = R(x * (y \ 1),z,u). [para(482(a,1),46(a,1,1)),flip(a)]. given #703 (H,wt=20): 585 ((x \ y) * x) * K(x,x \ y) != z * u | y / u = z. [para(95(a,2),529(a,1))]. given #704 (H,wt=20): 588 x * (y * (y \ T(z,x))) != u * w | u \ (z * x) = w. [para(166(a,2),545(a,1))]. given #705 (H,wt=20): 590 x * (y * T(z,y)) != u * w | (x * (z * y)) / w = u. [para(161(a,2),555(a,1))]. given #706 (H,wt=20): 593 L(R(x \ y,z,u),x,1 / x) = R((1 / x) * y,z,u). [para(572(a,1),44(a,1,1)),flip(a)]. given #707 (H,wt=20): 602 L(x,T(y,x),x) * T(y,x) = T(y,x) * T(x,y * x). [para(119(a,1),598(a,1,2,2)),flip(a)]. given #708 (H,wt=20): 640 T(x,x \ y) * z != z * u | T((x \ y) \ y,z) = u. [para(256(a,2),169(a,2)),flip(a)]. given #709 (H,wt=20): 678 (x * (y * z)) * a(x,z,T(y,z)) = (x * z) * T(y,z). [para(119(a,1),91(a,1,1,2))]. given #710 (H,wt=20): 681 L(T(x,y \ z),y \ z,y) = z \ (y * (x * (y \ z))). [para(119(a,1),104(a,1,2,2)),flip(a)]. given #711 (H,wt=20): 684 R(x,x \ y,(x \ y) \ z) = (y * ((x \ y) \ z)) / z. [para(14(a,1),110(a,2,2))]. given #712 (H,wt=20): 687 a(x,x \ y,(x \ y) \ 1) = x \ (y * ((x \ y) \ 1)). [para(14(a,1),157(a,1,2,1)),flip(a)]. given #713 (H,wt=20): 715 L(T(x \ T(y,z),u),x,z) = T((z * x) \ (y * z),u). [para(402(a,1),40(a,2,1))]. given #714 (H,wt=20): 725 L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). [para(450(a,1),40(a,2,1))]. given #715 (H,wt=20): 729 T(((x / y) * z) \ x,u) = L(T(z \ y,u),z,x / y). [para(454(a,1),40(a,2,1)),flip(a)]. given #716 (H,wt=20): 735 R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). [para(485(a,1),42(a,2,1))]. given #717 (H,wt=20): 740 R((x / y) \ z,x / y,y) = T((z * y) / x,x / y). [para(485(a,1),185(a,1,1)),flip(a)]. given #718 (H,wt=20): 743 K(L(x,y / x,z),u) = K((z * (y / x)) \ (z * y),u). [para(494(a,1),661(a,1,1,1)),flip(a)]. given #719 (H,wt=20): 755 T(L(x,y \ z,y),y \ z) = z \ (y * (x * (y \ z))). [hyper(295,a,694,a),flip(a)]. given #720 (H,wt=20): 798 (1 / x) \ T(1 / x,y) != z | x * T(x \ 1,y) = z. [para(389(a,1),574(a,1,2))]. given #721 (H,wt=20): 808 x * R(x \ y,z,z \ x) = ((y / x) * z) * (z \ x). [hyper(236,a,309,a(flip),b,618,a(flip))]. given #722 (H,wt=20): 816 L(x / y,z,u) * y != w | y * L(y \ x,z,u) = w. [para(628(a,1),221(a,1,1)),flip(b)]. given #723 (H,wt=20): 824 R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w. [para(629(a,1),221(a,1,1)),flip(b)]. given #724 (H,wt=20): 833 L((x * y) / x,z,u) * x != w | x * L(y,z,u) = w. [para(806(a,2),221(a,1,1)),flip(b)]. given #725 (H,wt=20): 839 R((x * y) / x,z,u) * x != w | x * R(y,z,u) = w. [para(813(a,2),221(a,1,1)),flip(b)]. given #726 (H,wt=18): 979 R(x,y,z) * u != w | u * R(T(x,u),y,z) = w. [para(163(a,1),839(a,1,1,1))]. given #727 (H,wt=20): 840 R((x * (1 / y)) / x,y,z) = (x * (z / (y * z))) / x. [para(159(a,1),813(a,2,1,2))]. given #728 (H,wt=20): 874 x * (y * (y \ z)) != u * w | T(u,w) = w \ (x * z). [para(119(a,1),551(a,2)),flip(b)]. given #729 (H,wt=20): 875 ((x / y) * y) * z != u * w | T(u,w) = w \ (x * z). [para(119(a,1),568(a,2)),flip(b)]. given #730 (H,wt=20): 904 L(((x / y) \ z) / y,y,x / y) = (y * (x \ z)) / y. [para(16(a,1),819(a,2,1,2,1))]. given #731 (H,wt=20): 917 T((x * (y / z)) / x,z) != u | (x * (z \ y)) / x = u. [para(827(a,1),287(a,1,1)),flip(b)]. given #732 (H,wt=20): 919 T(T((x * y) / (z * y),u),z) = R(T(z \ x,u),z,y). [para(114(a,1),830(a,1,1,1))]. given #733 (H,wt=20): 920 R(T(x \ y,x * z),x,z) = T((x * z) \ (y * z),x). [para(487(a,1),830(a,1,1)),flip(a)]. given #734 (H,wt=18): 983 R(T(x \ 1,x * y),x,y) = T((x * y) \ y,x). [para(11(a,1),920(a,2,1,2))]. given #735 (H,wt=20): 921 R(T(x \ y,z),x,x \ z) = T(z \ (y * (x \ z)),x). [para(698(a,1),830(a,1,1)),flip(a)]. given #736 (H,wt=20): 931 (x * y) \ (y * (x \ T(x,y))) = L(x \ 1,T(x,y),y). [para(930(a,1),177(a,1,2,2))]. given #737 (H,wt=20): 936 T((1 / x) * y,x) != (1 / x) * z | (x \ y) * x = z. [para(935(a,1),19(a,1))]. given #738 (H,wt=20): 957 K(x \ 1,x) * L(x \ y,x,x \ 1) = (x \ 1) * y. [hyper(236,a,88,a(flip),b,446,a)]. given #739 (H,wt=20): 984 T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). [para(13(a,1),920(a,1,1,1)),flip(a)]. given #740 (H,wt=21): 382 L(L(x \ 1,x,y),y * x,z) = (z * (y * x)) \ (z * y). [para(349(a,1),28(a,2,2,2))]. given #741 (H,wt=21): 413 T((((x * y) / x) \ z) \ z,x) = T(y,((x * y) / x) \ z). [para(120(a,1),201(a,1,1))]. given #742 (H,wt=21): 478 (x * y) * z != (u * x) * y | T(R(u,x,y),x * y) = z. [para(113(a,1),169(a,2))]. given #743 (H,wt=21): 490 R(R(1 / x,x,y),x * y,z) = (y * z) / ((x * y) * z). [para(159(a,2),114(a,1,1))]. given #744 (H,wt=21): 512 R(x,y,z) \ ((x * y) * z) != u * w | u \ (y * z) = w. [para(30(a,2),281(a,1,1))]. given #745 (H,wt=21): 544 R(R(1 / x,x,x \ y),y,z) = ((x \ y) * z) / (y * z). [para(354(a,2),114(a,1,1))]. given #746 (H,wt=21): 548 (x * y) * L(z,y,x) != u * w | u \ (x * (y * z)) = w. [para(28(a,2),367(a,1,2))]. given #747 (H,wt=21): 552 R(x,y,z) * (y * z) != u * w | u \ ((x * y) * z) = w. [para(143(a,1),367(a,1,2))]. given #748 (H,wt=21): 553 x * (y * z) != u * w | u \ ((x * y) * L(z,y,x)) = w. [para(212(a,1),367(a,1,2))]. given #749 (H,wt=21): 556 R(x,y,z) * (y * z) != u * w | ((x * y) * z) / w = u. [para(30(a,2),374(a,1,1))]. given #750 (H,wt=21): 560 (x * y) * L(z,y,x) != u * w | (x * (y * z)) / w = u. [para(137(a,1),374(a,1,1))]. given #751 (H,wt=21): 565 (x * y) * (y \ 1) != z * u | z \ R(x,y,y \ 1) = u. [para(391(a,1),367(a,1,2))]. given #752 (H,wt=21): 567 x * ((x \ 1) * y) != z * u | L(y,x \ 1,x) / u = z. [para(396(a,1),374(a,1,1))]. given #753 (H,wt=21): 571 R(x,y,z) \ ((x * y) * z) != u * w | (y * z) / w = u. [para(113(a,1),428(a,1,2))]. given #754 (H,wt=21): 578 (x * y) * z != u * w | (R(x,y,z) * (y * z)) / w = u. [para(462(a,1),374(a,1,1))]. given #755 (H,wt=21): 591 R(x / y,y,y \ 1) != z * u | (x * (y \ 1)) / u = z. [para(482(a,2),555(a,1))]. given #756 (H,wt=21): 603 L(x,y,x) * y != z * u | (y * T(x,x * y)) / u = z. [para(598(a,1),555(a,1))]. given #757 (H,wt=21): 609 x * L(R(T(y,x),z,u),w,v5) = L(R(y,z,u),w,v5) * x. [para(42(a,2),181(a,1,2,1))]. given #758 (H,wt=20): 989 x * R(T(y,y * x),z,u) = L(R(y,z,u),x,y) * x. [para(597(a,1),609(a,1,2))]. given #759 (H,wt=21): 621 (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). [para(120(a,1),182(a,1,2,1))]. given #760 (H,wt=17): 990 R(T(x,x \ y),z,u) = R((x \ y) \ y,z,u). [hyper(17,a,182,a,b,621,a),flip(a)]. given #761 (H,wt=21): 622 R(x / (x / y),z,u) * (x / y) = (x / y) * R(y,z,u). [para(186(a,1),182(a,1,2,1)),flip(a)]. given #762 (H,wt=21): 638 T(x / T(y,y \ z),T(y,y \ z)) = ((y \ z) \ z) \ x. [hyper(72,a,167,a(flip),b,256,a(flip)),flip(a)]. given #763 (H,wt=21): 657 (1 / x) / K(x,1 / x) != y | R(1 / x,x,1 / x) = y. [para(248(a,2),388(a,1,2))]. given #764 (H,wt=21): 703 (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). [para(351(a,2),103(a,1,2))]. given #765 (H,wt=21): 745 R(1 / (x / y),x / y,y) != z * u | z \ (y / x) = u. [para(485(a,2),583(a,1))]. given #766 (H,wt=21): 770 (x * y) * T(L(z,y,x),u) != w | x * (y * T(z,u)) = w. [para(40(a,1),219(a,1,2))]. given #767 (H,wt=21): 774 T(R(x,y,z),u) * (y * z) != w | (T(x,u) * y) * z = w. [para(42(a,1),225(a,1,1))]. given #768 (H,wt=21): 777 R(x,y,T(z,y)) * (z * y) != u | (x * y) * T(z,y) = u. [para(119(a,1),225(a,1,2))]. given #769 (H,wt=21): 779 x / L(y,z,x / (z * y)) != u | (x / (z * y)) * z = u. [para(16(a,1),297(a,1,1))]. given #770 (H,wt=21): 780 (x * y) * z != y * (T(x,y) * u) | L(u,T(x,y),y) = z. [para(119(a,1),436(a,1,1))]. given #771 (H,wt=21): 790 (x * y) * T(z,y) != u * (z * y) | R(x,y,T(z,y)) = u. [para(119(a,1),467(a,2,2))]. given #772 (H,wt=21): 794 x \ T(L(y,x \ 1,x),z) != u | (x \ 1) * T(y,z) = u. [para(40(a,1),503(a,1,2))]. given #773 (H,wt=21): 823 ((x / y) * R(y,z,u)) / (x / y) = R(x / (x / y),z,u). [para(65(a,1),629(a,1,1,2,1))]. given #774 (H,wt=21): 849 R(x,y,(x * y) \ z) \ z != y * u | (x * y) \ z = u. [para(277(a,2),19(a,1))]. given #775 (H,wt=21): 850 L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y). [hyper(236,a,105,a(flip),b,352,a)]. given #776 (H,wt=21): 858 (x * y) * T(T(x,x * y),z) = x * (y * T(T(x,y),z)). [para(595(a,1),442(a,1,2,1))]. given #777 (H,wt=17): 995 x * (y * T(T(x,y),z)) = T(x,z) * (x * y). [hyper(368,a,858,a),flip(a)]. given #778 (H,wt=15): 996 T(x,y) * (x * z) = x * (T(x,y) * z). [para(180(a,1),995(a,1,2)),flip(a)]. given #779 (H,wt=13): 1004 x * (T(x,y) \ 1) = T(x,y) \ x. [hyper(72,a,56,a(flip),b,996,a),flip(a)]. given #780 (H,wt=13): 1009 (T(x,y) \ x) / (T(x,y) \ 1) = x. [hyper(87,a,1004,a)]. given #781 (H,wt=13): 1010 x \ (T(x,y) \ x) = T(x,y) \ 1. [hyper(80,a,1004,a)]. given #782 (H,wt=15): 997 x \ (T(x,y) * z) = T(x,y) * (x \ z). [hyper(551,a,996,a)]. given #783 (H,wt=15): 998 T(x,y) * (x \ (T(x,y) \ z)) = x \ z. [hyper(546,a,996,a),flip(a)]. given #784 (H,wt=15): 1001 x * (T(x,y) * (x \ z)) = T(x,y) * z. [hyper(307,a,996,a),flip(a)]. given #785 (H,wt=15): 1002 T(x,y) * (x * (T(x,y) \ z)) = x * z. [hyper(236,a,88,a(flip),b,996,a)]. given #786 (H,wt=13): 1018 x * (T(x,y) \ y) = T(y,T(x,y)). [hyper(360,a,1002,a),flip(a)]. given #787 (H,wt=15): 1003 T(x,y) \ (x * z) = x * (T(x,y) \ z). [hyper(72,a,88,a(flip),b,996,a)]. given #788 (H,wt=15): 1008 T((T(x,y) \ x) / x,x) = T(x,y) \ 1. [hyper(168,a,16,a,b,1004,a)]. given #789 (H,wt=15): 1016 T(x,y) \ (x \ z) = x \ (T(x,y) \ z). [hyper(80,a,998,a)]. given #790 (H,wt=16): 1011 x \ (T(x,y) \ x) != z | T(x,y) \ 1 = z. [para(1004(a,1),283(a,1,2)),flip(b)]. given #791 (H,wt=17): 999 x * (T(x,y) * T(z,x)) = T(x,y) * (z * x). [hyper(535,a,996,a),flip(a)]. given #792 (H,wt=17): 1014 (T(x,y) \ T(x,z)) / (T(x,y) \ 1) = T(x,z). [para(1009(a,1),942(a,2,1))]. given #793 (H,wt=17): 1027 T(x,y) * (T(x,z) \ 1) = T(x,z) \ T(x,y). [para(1014(a,1),16(a,1,1))]. given #794 (H,wt=18): 1006 T(x,y) * (x * z) != x * u | T(x,y) * z = u. [para(996(a,2),19(a,1))]. given #795 (H,wt=18): 1017 T(x,y) * z != x * u | T(x,y) * (x \ z) = u. [para(1001(a,1),19(a,1))]. given #796 (H,wt=18): 1020 T(x,y) \ (x * z) != u | x * (T(x,y) \ z) = u. [para(1002(a,1),283(a,1,2)),flip(b)]. given #797 (H,wt=16): 1029 T(x,y) \ x != z | x * (T(x,y) \ 1) = z. [para(12(a,1),1020(a,1,2))]. given #798 (H,wt=18): 1022 T(x,y) * (x \ (T(x,y) \ z)) != u | x \ z = u. [para(1016(a,1),216(a,1,2)),flip(b)]. given #799 (H,wt=16): 1031 T(x,y) * (x \ 1) != z | x \ T(x,y) = z. [para(52(a,1),1022(a,1,2,2))]. given #800 (H,wt=18): 1023 x * (T(x,y) \ (x \ z)) != u | T(x,y) \ z = u. [para(1016(a,2),216(a,1,2)),flip(b)]. given #801 (H,wt=18): 1030 T(x,y) * (x \ z) != u | x \ (T(x,y) * z) = u. [para(13(a,1),1022(a,1,2,2))]. given #802 (H,wt=18): 1033 x * (T(x,y) \ z) != u | T(x,y) \ (x * z) = u. [para(13(a,1),1023(a,1,2,2))]. given #803 (H,wt=19): 1005 (x / y) * (T(x / y,z) * y) = T(x / y,z) * x. [para(16(a,1),996(a,1,2)),flip(a)]. given #804 (H,wt=19): 1034 (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. [para(405(a,1),1005(a,1,2))]. given #805 (H,wt=20): 1012 L(T(x,y) \ 1,x,1 / x) = (1 / x) * (T(x,y) \ x). [para(1004(a,1),430(a,1,2)),flip(a)]. given #806 (H,wt=20): 1032 (x \ 1) * T((x \ 1) \ 1,y) != z | x \ T(x,y) = z. [para(407(a,2),1031(a,1))]. given #807 (H,wt=21): 866 R(x,y,T(z,y)) * (z * y) != (x * y) * u | T(z,y) = u. [para(465(a,2),19(a,1))]. given #808 (H,wt=21): 872 (x / y) * (y * T(y \ 1,z)) = x * T(x \ (x / y),z). [para(542(a,2),434(a,1,2)),flip(a)]. given #809 (H,wt=19): 1037 (x / y) \ ((x \ (x / y)) * x) = y * T(y \ 1,x). [hyper(72,a,119,a(flip),b,872,a)]. given #810 (H,wt=15): 1039 x \ K(y \ (y / x),y) = T(x \ 1,y). [hyper(533,a,1037,a)]. given #811 (H,wt=15): 1040 K(x \ (x / y),x) = y * T(y \ 1,x). [hyper(421,a,1037,a)]. given #812 (H,wt=15): 1043 K(x \ (x / (y \ 1)),x) = y \ T(y,x). [hyper(236,a,927,a(flip),b,1040,a)]. given #813 (H,wt=15): 1044 K(x \ (x / y),x) / y = T(1 / y,x). [hyper(74,a,1040,a,b,405,a)]. given #814 (H,wt=18): 1041 x * T(x \ 1,y) != z | K(y \ (y / x),y) = z. [para(1037(a,1),421(a,1))]. given #815 (H,wt=19): 1038 (x / y) * K(y \ 1,y) = x * T(x \ (x / y),y). [para(272(a,1),872(a,1,2))]. given #816 (H,wt=19): 1046 K(x \ (x / ((y / x) \ 1)),x) = (y / x) \ (x \ y). [para(121(a,1),1043(a,2,2))]. given #817 (H,wt=19): 1048 K((x * y) \ x,x * y) / y = T(1 / y,x * y). [para(15(a,1),1044(a,1,1,1,2))]. given #818 (H,wt=21): 873 T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y). [para(543(a,2),309(a,1,1))]. given #819 (H,wt=21): 883 L(x,x \ y,x) * (x \ y) != (x \ y) * z | T(x,y) = z. [para(600(a,2),19(a,1))]. given #820 (H,wt=21): 884 (x \ y) * T(x,y) != z * (x \ y) | L(x,x \ y,x) = z. [para(600(a,1),20(a,1))]. given #821 (H,wt=21): 886 L(x,x \ y,x) * (x \ y) != z | (x \ y) * T(x,y) = z. [para(604(a,1),221(a,1,1)),flip(b)]. given #822 (H,wt=21): 887 ((x * y) \ x) * (x * y) = x * (y * T(y \ 1,x * y)). [para(158(a,1),606(a,2,1)),flip(a)]. given #823 (H,wt=21): 889 (x * y) * z != (u * x) * y | R(T(u,x * y),x,y) = z. [para(614(a,1),19(a,1)),flip(a)]. given #824 (H,wt=21): 899 L(x,y \ z,y) * z != y * u | (y \ z) * T(x,z) = u. [para(719(a,1),19(a,1))]. given #825 (H,wt=21): 901 x \ ((x / y) * ((y \ z) * y)) = T(x \ ((x / y) * z),y). [para(453(a,1),756(a,1,1)),flip(a)]. given #826 (H,wt=21): 910 (x * ((x \ y) * z)) \ (y * z) != u | a(x,x \ y,z) = u. [para(14(a,1),679(a,1,2,1))]. given #827 (H,wt=21): 911 ((x / y) * (y * z)) \ (x * z) != u | a(x / y,y,z) = u. [para(16(a,1),679(a,1,2,1))]. given #828 (H,wt=21): 959 x \ ((L(y,z,x) * x) * z) = z * T(R(y,x,z),x * z). [hyper(72,a,471,a(flip),b,606,a)]. given #829 (H,wt=21): 962 (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). [para(451(a,1),501(a,1,2,1)),flip(a)]. given #830 (H,wt=19): 1051 (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). [para(12(a,1),962(a,2,2,1))]. given #831 (H,wt=21): 963 L(x * (y \ 1),z,u) / (y \ 1) = L(x / y,z,u) * y. [para(482(a,1),505(a,1,1,1))]. given #832 (H,wt=19): 1053 L(x \ 1,y,z) / (x \ 1) = L(1 / x,y,z) * x. [para(11(a,1),963(a,1,1,1))]. given #833 (H,wt=18): 1054 L(x \ 1,x,y) / (x \ 1) = x * ((y * x) \ y). [hyper(236,a,799,a(flip),b,1053,a)]. given #834 (H,wt=17): 1057 ((x * y) \ x) / (y \ 1) = y * ((x * y) \ x). [para(158(a,1),1054(a,1,1))]. given #835 (H,wt=17): 1058 (x * ((y * x) \ y)) * (x \ 1) = (y * x) \ y. [para(1057(a,1),16(a,1,1))]. given #836 (H,wt=18): 1055 (x * ((y * x) \ y)) * (x \ 1) = L(x \ 1,x,y). [para(1054(a,1),16(a,1,1))]. given #837 (H,wt=18): 1056 (x * ((y * x) \ y)) \ L(x \ 1,x,y) = x \ 1. [para(1054(a,1),65(a,1,1))]. given #838 (H,wt=21): 970 (1 / x) \ L(x \ 1,y,z) = x * L(T(x \ 1,x),y,z). [para(712(a,1),573(a,1,2,1))]. given #839 (H,wt=19): 1063 (1 / x) \ L(x \ 1,y,z) = L(x \ 1,y,z) * x. [hyper(236,a,181,a(flip),b,970,a)]. given #840 (H,wt=19): 1065 (1 / x) * (L(x \ 1,y,z) * x) = L(x \ 1,y,z). [para(1063(a,1),14(a,1,2))]. given #841 (H,wt=18): 1067 (x * y) \ x = (1 / y) * (L(y \ 1,y,x) * y). [hyper(236,a,158,a(flip),b,1065,a),flip(a)]. given #842 (H,wt=17): 1068 (1 / x) * (((y * x) \ y) * x) = (y * x) \ y. [para(158(a,1),1067(a,2,2,1)),flip(a)]. given #843 (H,wt=21): 971 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u). [hyper(72,a,576,a(flip),b,188,a),flip(a)]. given #844 (H,wt=19): 1070 (x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). [para(12(a,1),971(a,2,2,1))]. given #845 (H,wt=15): 1071 R(x,y,z) * (x \ 1) = x \ R(x,y,z). [hyper(236,a,621,a(flip),b,1070,a(flip)),flip(a)]. given #846 (H,wt=15): 1072 R(x,y,z) \ (x \ R(x,y,z)) = x \ 1. [hyper(72,a,1070,a(flip),b,621,a(flip))]. given #847 (H,wt=17): 1073 R(x,y,y \ 1) \ a(x,y,y \ 1) = x \ 1. [hyper(72,a,688,a(flip),b,1071,a)]. given #848 (H,wt=19): 1074 (x \ R(x,y,z)) / R(T(x,x \ 1),y,z) = x \ 1. [hyper(74,a,1071,a(flip),b,182,a)]. given #849 (H,wt=21): 972 (R(x / y,z,u) * y) * (y \ 1) = R(x * (y \ 1),z,u). [hyper(371,a,581,a)]. given #850 (H,wt=21): 973 (1 / x) * (x * R(x \ y,z,u)) = R((1 / x) * y,z,u). [hyper(772,a,593,a)]. given #851 (H,wt=19): 1081 (1 / x) * (x * R(x \ 1,y,z)) = R(1 / x,y,z). [para(12(a,1),973(a,2,1))]. given #852 (H,wt=18): 1087 (1 / x) * ((y / (x * y)) * x) = R(1 / x,x,y). [para(635(a,2),1081(a,1,2))]. given #853 (H,wt=19): 1082 (1 / x) \ R(1 / x,y,z) = x * R(x \ 1,y,z). [hyper(80,a,1081,a)]. given #854 (H,wt=19): 1084 x * R(x \ 1,y,y \ 1) = a(1 / x,y,y \ 1). [hyper(17,a,689,a,b,1081,a)]. given #855 (H,wt=21): 985 ((x \ y) * x) * (x \ z) = z * T(z \ (y * (x \ z)),x). [para(921(a,1),699(a,1,2)),flip(a)]. given #856 (H,wt=21): 991 x \ R(T(y,y \ z),u,w) = x \ R((y \ z) \ z,u,w). [hyper(72,a,990,a,b,14,a)]. given #857 (H,wt=21): 1007 (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). [para(121(a,1),996(a,1,1)),flip(a)]. given #858 (H,wt=19): 1090 (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). [para(121(a,1),1007(a,1,2,1))]. given #859 (H,wt=17): 1092 (x / y) * ((y \ x) \ 1) = (y \ x) \ (x / y). [hyper(366,a,1090,a),flip(a)]. given #860 (H,wt=17): 1093 (x \ y) * ((y / x) \ 1) = (y / x) \ (x \ y). [hyper(72,a,56,a(flip),b,1090,a),flip(a)]. given #861 (H,wt=20): 1095 (x / y) \ (y \ x) != (y \ x) * z | (x / y) \ 1 = z. [para(1093(a,1),19(a,1))]. given #862 (H,wt=21): 1047 K(x \ (x / (((x * y) / x) \ 1)),x) = ((x * y) / x) \ y. [para(162(a,1),1043(a,2,2))]. given #863 (H,wt=21): 1049 (T(1 / x,y) * x) * (x \ z) = z * T(z \ (x \ z),y). [hyper(667,a,873,a),flip(a)]. given #864 (H,wt=21): 1050 x \ ((L(y,z,x) * x) * z) = z * R(T(y,x * z),x,z). [para(42(a,2),959(a,2,2))]. given #865 (H,wt=21): 1052 L(x * (y \ 1),z,u) / (y \ 1) = y * L(y \ x,z,u). [hyper(236,a,610,a(flip),b,963,a)]. given #866 (H,wt=21): 1069 ((x * (y \ 1)) \ x) * (y \ 1) = y \ ((x * (y \ 1)) \ x). [hyper(72,a,1068,a(flip),b,134,a(flip)),flip(a)]. given #867 (H,wt=21): 1080 (x * R(x \ y,z,u)) * (x \ 1) = R(y * (x \ 1),z,u). [para(618(a,1),972(a,1,1))]. given #868 (H,wt=21): 1094 ((x / y) \ x) \ (x / (x / y)) = (x / (x / y)) * (y \ 1). [para(65(a,1),1092(a,1,2,1)),flip(a)]. given #869 (H,wt=17): 1103 (x / (x / y)) * (y \ 1) = y \ (x / (x / y)). [para(65(a,1),1094(a,1,1)),flip(a)]. given #870 (H,wt=21): 1098 (x * T(x \ 1,y)) * (x \ z) = z * T(z \ (x \ z),y). [para(405(a,1),1049(a,1,1))]. given #871 (H,wt=19): 1104 (x \ (y \ x)) * x = (y * T(y \ 1,x)) * (y \ x). [hyper(236,a,119,a(flip),b,1098,a),flip(a)]. given #872 (H,wt=19): 1106 K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),x). [para(272(a,1),1098(a,1,1))]. given #873 (H,wt=19): 1107 T(x * T(x \ 1,y),x \ y) = K(y \ (x \ y),y). [hyper(168,a,1104,a(flip),b,249,a)]. given #874 (H,wt=21): 1100 x \ (y \ ((L(z,x,y) * y) * x)) = R(T(z,y * x),y,x). [hyper(72,a,1050,a,b,xx)]. given #875 (H,wt=21): 1102 R(x * (y \ 1),z,u) / (y \ 1) = y * R(y \ x,z,u). [hyper(87,a,1080,a)]. given #876 (H,wt=19): 1110 R(x \ 1,y,z) / (x \ 1) = x * R(x \ 1,y,z). [para(11(a,1),1102(a,1,1,1))]. given #877 (H,wt=21): 1111 x * R(x \ (y / (x \ 1)),z,u) = R(y,z,u) / (x \ 1). [para(16(a,1),1102(a,1,1,1)),flip(a)]. given #878 (H,wt=22): 275 (x * K(y \ 1,y)) \ ((x * (y \ 1)) * y) = a(x,y \ 1,y). [para(187(a,2),24(a,2,1,2)),flip(a)]. given #879 (H,wt=22): 422 K(x \ y,x) * z != (x \ y) * x | T(y,K(x \ y,x)) = z. [para(249(a,1),169(a,2))]. given #880 (H,wt=22): 474 R(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y). [para(95(a,1),113(a,1,2))]. given #881 (H,wt=22): 612 L(x,y,z) * u != w * v5 | w \ (u * L(T(x,u),y,z)) = v5. [para(181(a,1),545(a,1))]. given #882 (H,wt=22): 613 x * L(T(y,x),z,u) != w * v5 | w \ (L(y,z,u) * x) = v5. [para(181(a,2),545(a,1))]. given #883 (H,wt=22): 623 x * R(T(y,x),z,u) != w * v5 | w \ (R(y,z,u) * x) = v5. [para(182(a,2),545(a,1))]. given #884 (H,wt=22): 624 x * R(T(y,x),z,u) != w * v5 | (R(y,z,u) * x) / v5 = w. [para(182(a,2),555(a,1))]. given #885 (H,wt=22): 642 ((x \ y) \ y) * z != u * w | u \ (T(x,x \ y) * z) = w. [para(256(a,1),545(a,1))]. given #886 (H,wt=22): 643 T(x,x \ y) * z != u * w | u \ (((x \ y) \ y) * z) = w. [para(256(a,2),545(a,1))]. given #887 (H,wt=22): 647 (x / T(y,y \ z)) * ((y \ z) \ z) != u * w | x / w = u. [para(257(a,1),374(a,1))]. given #888 (H,wt=22): 648 (x / ((y \ z) \ z)) * T(y,y \ z) != u * w | x / w = u. [para(257(a,2),374(a,1))]. given #889 (H,wt=22): 649 x * ((y \ z) \ z) != u * w | u \ (x * T(y,y \ z)) = w. [para(257(a,1),545(a,1))]. given #890 (H,wt=22): 652 (x \ y) * T((x \ y) \ y,z) != u | T(x,z) * (x \ y) = u. [para(259(a,1),220(a,1,2))]. given #891 (H,wt=16): 1113 x \ T(x,y) != z | T(x,y) * (x \ 1) = z. [para(927(a,1),652(a,1))]. given #892 (H,wt=22): 662 T(x / y,z) * y != u * w | (y * T(y \ x,z)) / w = u. [para(405(a,2),555(a,1))]. given #893 (H,wt=22): 680 ((x * y) * z) * a(R(x,y,z),y,z) = (R(x,y,z) * y) * z. [para(113(a,1),91(a,1,1))]. given #894 (H,wt=22): 691 x \ R(x,y,y \ 1) != z * u | z \ a(x,y,y \ 1) = u. [para(689(a,1),305(a,1,2))]. given #895 (H,wt=22): 702 L(R(x,y,y \ z),u,w) * z = (L(x,u,w) * y) * (y \ z). [para(44(a,1),309(a,1,1))]. given #896 (H,wt=22): 705 x * ((T(y,x) \ z) \ z) != u * x | T(y,T(y,x) \ z) = u. [para(120(a,1),365(a,1,2))]. given #897 (H,wt=22): 707 L(x \ 1,x,y) \ (z * ((y * x) \ y)) = T(z,(y * x) \ y). [hyper(169,a,385,a),flip(a)]. given #898 (H,wt=22): 721 x * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)). [para(45(a,1),433(a,1,2))]. given #899 (H,wt=22): 726 L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). [para(450(a,1),44(a,1,1)),flip(a)]. given #900 (H,wt=22): 736 R(R(x / (y / z),u,w),y / z,z) = R((x * z) / y,u,w). [para(485(a,1),46(a,1,1)),flip(a)]. given #901 (H,wt=22): 741 R(x,T(y,x),(y * x) \ z) \ z = T(y,x) * ((y * x) \ z). [para(138(a,1),489(a,1,1,1))]. given #902 (H,wt=22): 742 (x * y) / T(L(z,y / T(z,u),x),u) = x * (y / T(z,u)). [para(40(a,1),494(a,1,2))]. given #903 (H,wt=22): 749 (x / y) * R((x / y) \ 1,x / y,y) = (y / x) * (x / y). [para(16(a,1),635(a,1,1,2)),flip(a)]. given #904 (H,wt=22): 761 L(R(x,y,x),z,u) * (y * x) = (y * x) * L(T(x,y),z,u). [para(759(a,1),181(a,1,2,1)),flip(a)]. given #905 (H,wt=19): 1118 (x * y) * L(T(y,x),z,u) = (L(y,z,u) * x) * y. [hyper(236,a,471,a(flip),b,761,a(flip))]. given #906 (H,wt=22): 762 R(R(x,y,x),z,u) * (y * x) = (y * x) * R(T(x,y),z,u). [para(759(a,1),182(a,1,2,1)),flip(a)]. given #907 (H,wt=19): 1119 (x * y) * R(T(y,x),z,u) = (R(y,z,u) * x) * y. [hyper(236,a,472,a(flip),b,762,a(flip))]. given #908 (H,wt=22): 803 L(1 / (x \ y),x \ y,x) * (x \ y) = (x \ y) * (y \ x). [para(347(a,1),610(a,2,2))]. given #909 (H,wt=22): 804 ((x \ y) * (y \ x)) / (x \ y) = L(1 / (x \ y),x \ y,x). [para(14(a,1),800(a,1,1,2,1))]. given #910 (H,wt=22): 807 L(((x * y) * z) / (x * y),y,x) = (x * (y * z)) / (x * y). [hyper(74,a,103,a(flip),b,611,a),flip(a)]. given #911 (H,wt=22): 812 ((((x * y) * z) / (x * y)) * x) * y = (x * y) * R(z,x,y). [hyper(225,a,620,a)]. given #912 (H,wt=22): 814 ((x * y) * R(z,x,y)) / y = (((x * y) * z) / (x * y)) * x. [hyper(74,a,620,a(flip),b,113,a(flip))]. given #913 (H,wt=22): 834 (x * y) * ((z * L(u,y,x)) / z) = x * (y * ((z * u) / z)). [para(806(a,1),103(a,1,2))]. given #914 (H,wt=22): 835 L((x * (y \ z)) / x,y,u) = (x * ((u * y) \ (u * z))) / x. [para(105(a,1),806(a,2,1,2))]. given #915 (H,wt=22): 836 L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x. [para(350(a,1),806(a,2,1,2))]. given #916 (H,wt=22): 837 L((x * (y \ z)) / x,y,1 / y) = (x * ((1 / y) * z)) / x. [para(572(a,1),806(a,2,1,2))]. given #917 (H,wt=22): 841 ((x * R(y,z,u)) / x) * (z * u) = (((x * y) / x) * z) * u. [para(813(a,1),113(a,1,1))]. given #918 (H,wt=22): 842 R((x * ((y / z) / u)) / x,u,z) = (x * (y / (u * z))) / x. [para(235(a,1),813(a,2,1,2))]. given #919 (H,wt=22): 843 R((x * (y / (1 / z))) / x,1 / z,z) = (x * (y * z)) / x. [para(481(a,1),813(a,2,1,2))]. given #920 (H,wt=22): 844 R((x * (y / z)) / x,z,z \ 1) = (x * (y * (z \ 1))) / x. [para(482(a,1),813(a,2,1,2))]. given #921 (H,wt=22): 859 x * (T(y,x) * T(z,y * x)) = L(z,T(y,x),x) * (y * x). [hyper(369,a,445,a),flip(a)]. given #922 (H,wt=22): 861 L(T(T(x,y) \ z,u),T(x,y),y) = T((x * y) \ (y * z),u). [para(119(a,1),456(a,1,1,1)),flip(a)]. given #923 (H,wt=22): 879 x \ T(x * y,z) != u | (x \ 1) * T((x \ 1) \ y,z) = u. [para(575(a,1),503(a,1,2))]. given #924 (H,wt=22): 885 ((x \ T(x,y)) * x) / (x \ T(x,y)) = L(x,x \ T(x,y),x). [para(192(a,1),604(a,1,1,2))]. given #925 (H,wt=22): 895 T(x,y) * (x \ z) != u | (x \ z) * T((x \ z) \ z,y) = u. [para(62(a,1),667(a,1,1,1))]. given #926 (H,wt=22): 896 T(x / (x / y),z) * (x / y) != u | (x / y) * T(y,z) = u. [para(16(a,1),671(a,1,1,1,1))]. given #927 (H,wt=22): 905 L((x \ (y * (x * z))) / z,z,x) = (z * T(y,x * z)) / z. [para(32(a,2),819(a,2,1,2))]. given #928 (H,wt=22): 906 L((x \ (T(x,y) * y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(176(a,1),819(a,2,1,2))]. given #929 (H,wt=22): 908 T(x,y) * (y * x) != x * z | T(T(x,y * x) * y,x) = z. [para(760(a,1),479(a,1,1))]. given #930 (H,wt=17): 1132 T(T(x,y * x) * y,x) = T(x,y) * T(y,x). [hyper(908,a,999,a(flip))]. given #931 (H,wt=22): 916 ((x * (y / z)) / x) * z != u | z * ((x * (z \ y)) / x) = u. [para(827(a,1),221(a,1,1)),flip(b)]. given #932 (H,wt=22): 924 T(x * y,x \ 1) != x * z | ((x \ 1) \ y) * (x \ 1) = z. [para(876(a,1),19(a,1))]. given #933 (H,wt=22): 934 T(x * (y \ 1),z) / (y \ 1) != u | y * T(y \ x,z) = u. [para(880(a,2),667(a,1))]. given #934 (H,wt=20): 1133 T(x \ 1,y) / (x \ 1) != z | x * T(x \ 1,y) = z. [para(11(a,1),934(a,1,1,1))]. given #935 (H,wt=22): 941 (x \ 1) * T((x \ 1) \ y,z) != u | x \ T(x * y,z) = u. [para(926(a,1),216(a,1,2)),flip(b)]. given #936 (H,wt=22): 947 (x \ 1) * T((x \ 1) \ (x \ y),z) != u | x \ T(y,z) = u. [para(940(a,1),216(a,1,2)),flip(b)]. given #937 (H,wt=22): 1013 T(x,T(x,y) \ 1) != z | (T(x,y) \ 1) \ (T(x,y) \ x) = z. [para(1009(a,1),280(a,1,1))]. given #938 (H,wt=22): 1019 x * (T(x,y) \ ((x \ T(x,y)) * z)) = L(z,x \ T(x,y),x). [hyper(17,a,433,a,b,1002,a)]. given #939 (H,wt=22): 1024 T(x,y) * (x \ (T(x,y) \ z)) != u * w | u \ (x \ z) = w. [para(1016(a,1),367(a,1,2))]. given #940 (H,wt=22): 1025 T(x,y) * (x \ (T(x,y) \ z)) != u * w | (x \ z) / w = u. [para(1016(a,1),529(a,1,2))]. given #941 (H,wt=22): 1026 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,T(x,y)). [hyper(17,a,433,a,b,999,a)]. given #942 (H,wt=22): 1035 T(x / y,z) * x != (x / y) * u | y * T(y \ x,z) = u. [para(1034(a,1),19(a,1))]. given #943 (H,wt=22): 1036 T(x / y,z) * u != (x / y) * (y * T(y \ x,z)) | u = x. [para(1034(a,2),19(a,2))]. given #944 (H,wt=22): 1042 x * T(x \ 1,y) != z * u | K(y \ (y / x),y) / u = z. [para(1039(a,1),529(a,1,2))]. given #945 (H,wt=22): 1064 (1 / x) \ L(x \ 1,y,z) != u | L(x \ 1,y,z) * x = u. [para(970(a,2),369(a,1))]. given #946 (H,wt=22): 1078 R(x,y,z) * (x \ 1) != u * w | (x \ R(x,y,z)) / w = u. [para(1072(a,1),529(a,1,2))]. given #947 (H,wt=22): 1085 R(1 / x,y,z) != (1 / x) * u | x * R(x \ 1,y,z) = u. [para(1081(a,1),19(a,1))]. given #948 (H,wt=22): 1086 (1 / x) \ R(1 / x,y,z) != u | x * R(x \ 1,y,z) = u. [para(1081(a,1),283(a,1,2)),flip(b)]. given #949 (H,wt=22): 1089 x * R(x \ 1,y,y \ 1) != z | a(1 / x,y,y \ 1) = z. [para(1082(a,1),690(a,1))]. given #950 (H,wt=22): 1130 L((x \ (y * (x * z))) / z,z,x) = T((z * y) / z,x * z). [hyper(236,a,412,a(flip),b,905,a)]. given #951 (H,wt=22): 1131 L((T(x,y) * (x \ y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(997(a,1),906(a,1,1,1))]. given #952 (H,wt=23): 440 (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). [para(103(a,1),28(a,2,2,2)),flip(a)]. given #953 (H,wt=23): 461 L(x \ L(y,z,u),x,u * z) = ((u * z) * x) \ (u * (z * y)). [para(103(a,1),105(a,2,2))]. given #954 (H,wt=23): 468 (((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u). [para(113(a,1),30(a,2,1,1)),flip(a)]. given #955 (H,wt=23): 473 ((x * y) * z) * K(y * z,R(x,y,z)) = (y * z) * R(x,y,z). [para(113(a,1),95(a,1,1))]. given #956 (H,wt=23): 491 R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). [para(113(a,1),114(a,2,1))]. given #957 (H,wt=23): 493 R(R(x / y,y,z),y * z,u) = ((x * z) * u) / ((y * z) * u). [para(114(a,2),114(a,1,1))]. given #958 (H,wt=23): 547 (x * (y * z)) * a(x,y,z) != u * w | u \ ((x * y) * z) = w. [para(24(a,2),367(a,1,2))]. given #959 (H,wt=23): 561 R(T(x,R(x,y,z) \ u),y,z) != w | (R(x,y,z) \ u) \ u = w. [para(42(a,2),375(a,1))]. given #960 (H,wt=23): 584 (x * (y * z)) * a(x,y,z) != u * w | ((x * y) * z) / w = u. [para(24(a,2),529(a,1,2))]. given #961 (H,wt=23): 664 ((((x * y) / x) \ z) \ z) * x = x * T(y,((x * y) / x) \ z). [hyper(236,a,256,a(flip),b,406,a(flip)),flip(a)]. given #962 (H,wt=23): 686 R(x,y,y \ z) * z != u * w | u \ ((x * y) * (y \ z)) = w. [para(112(a,1),427(a,1,1))]. given #963 (H,wt=23): 752 T(R(x \ y,x,z),x * z) != u | T((x * z) \ (y * z),x) = u. [para(631(a,1),668(a,1,1))]. given #964 (H,wt=23): 757 T(L(x,y \ z,y),y \ z) != u | z \ (y * (x * (y \ z))) = u. [para(694(a,1),295(a,1))]. given #965 (H,wt=23): 771 (x * y) * R(L(z,y,x),u,w) != v5 | x * (y * R(z,u,w)) = v5. [para(44(a,2),219(a,1,2))]. given #966 (H,wt=23): 775 L(R(x,y,z),u,w) * (y * z) != v5 | (L(x,u,w) * y) * z = v5. [para(44(a,1),225(a,1,1))]. given #967 (H,wt=23): 776 R(R(x,y,z),u,w) * (y * z) != v5 | (R(x,u,w) * y) * z = v5. [para(46(a,1),225(a,1,1))]. given #968 (H,wt=23): 782 K(x \ 1,x) * y != (x \ 1) * (x * z) | L(z,x,x \ 1) = y. [para(187(a,2),436(a,1,1))]. given #969 (H,wt=23): 791 (x * (y \ 1)) * y != z * K(y \ 1,y) | R(x,y \ 1,y) = z. [para(187(a,2),467(a,2,2))]. given #970 (H,wt=23): 795 x \ L(L(y,x \ 1,x),z,u) != (x \ 1) * w | L(y,z,u) = w. [para(45(a,1),504(a,1,2)),flip(b)]. given #971 (H,wt=23): 826 (x \ y) * ((z * ((x \ y) \ y)) / z) = ((z * x) / z) * (x \ y). [para(120(a,1),669(a,1,2,1,2))]. given #972 (H,wt=23): 852 (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). [para(352(a,1),103(a,1,2))]. given #973 (H,wt=23): 855 L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y). [para(14(a,1),851(a,1,1,1))]. given #974 (H,wt=23): 856 (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). [para(105(a,1),442(a,1,2,1))]. given #975 (H,wt=23): 857 (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). [para(227(a,1),442(a,1,2,1))]. given #976 (H,wt=23): 868 T((x * y) / (z * y),u) * (z * y) = (T(x / z,u) * z) * y. [para(114(a,1),470(a,1,1,1))]. given #977 (H,wt=19): 1138 (T((x * y) / x,z) * x) * y = (x * y) * T(y,z). [hyper(671,a,868,a),flip(a)]. given #978 (H,wt=15): 1140 (x * T(y,z)) * y = (x * y) * T(y,z). [para(406(a,1),1138(a,1,1))]. given #979 (H,wt=13): 1142 (1 / T(x,y)) * x = x / T(x,y). [hyper(373,a,1140,a),flip(a)]. given #980 (H,wt=13): 1146 T(x * T(y,x * y),y) = x * y. [hyper(168,a,1140,a,b,119,a(flip))]. given #981 (H,wt=13): 1150 (1 / x) * T(x,y) = T(x,y) / x. [hyper(74,a,63,a(flip),b,1140,a),flip(a)]. given #982 (H,wt=13): 1155 (1 / T(x,y)) \ (x / T(x,y)) = x. [hyper(80,a,1142,a)]. given #983 (H,wt=13): 1158 (T(x,y) / x) / T(x,y) = 1 / x. [hyper(87,a,1150,a)]. given #984 (H,wt=13): 1159 (1 / x) \ (T(x,y) / x) = T(x,y). [hyper(80,a,1150,a)]. given #985 (H,wt=15): 1141 (x * y) / T(y,z) = (x / T(y,z)) * y. [hyper(559,a,1140,a)]. given #986 (H,wt=15): 1143 ((x / T(y,z)) * y) * T(y,z) = x * y. [hyper(303,a,1140,a),flip(a)]. given #987 (H,wt=15): 1144 (x * T(y,x * y)) * y = y * (x * y). [hyper(236,a,119,a(flip),b,1140,a)]. given #988 (H,wt=15): 1145 ((x / y) * T(y,z)) * y = x * T(y,z). [hyper(236,a,89,a(flip),b,1140,a)]. given #989 (H,wt=13): 1166 (x / y) * T(y,x) = (y * x) / y. [hyper(74,a,119,a(flip),b,1145,a),flip(a)]. given #990 (H,wt=15): 1147 (x * T(y,z)) \ ((x * y) * T(y,z)) = y. [hyper(80,a,1140,a)]. given #991 (H,wt=15): 1148 (x * (y * x)) / x = y * T(x,y * x). [hyper(74,a,119,a(flip),b,1140,a)]. given #992 (H,wt=15): 1149 ((x / T(y,z)) / y) * T(y,z) = x / y. [hyper(74,a,68,a(flip),b,1140,a),flip(a)]. given #993 (H,wt=15): 1174 x \ ((y * (x * y)) / y) = T(y,x * y). [hyper(72,a,1148,a,b,xx)]. given #994 (H,wt=16): 1163 (1 / T(x,y)) * x != z | x / T(x,y) = z. [para(1155(a,1),216(a,1,2)),flip(b)]. given #995 (H,wt=16): 1173 R(T(x,y * T(x,z)),y,T(x,z)) = T(x,y). [para(1147(a,1),984(a,1,1)),flip(a)]. given #996 (H,wt=17): 1157 T(x,y) \ (T(x,y) / x) = T(1 / x,T(x,y)). [hyper(394,a,xx,b,1150,a),flip(a)]. given #997 (H,wt=17): 1168 T(x,y) \ ((x * y) / x) = T(y / x,T(x,y)). [hyper(394,a,xx,b,1166,a),flip(a)]. given #998 (H,wt=17): 1169 ((x \ y) * y) / (x \ y) = x * T(x \ y,y). [hyper(290,a,1166,a),flip(a)]. given #999 (H,wt=18): 1151 (x * y) * T(y,z) != u * y | x * T(y,z) = u. [para(1140(a,1),20(a,1))]. given #1000 (H,wt=18): 1156 (x * (y * x)) / x != z | y * T(x,y * x) = z. [para(1146(a,1),300(a,1,1,2)),flip(b)]. given #1001 (H,wt=18): 1165 x * T(y,z) != u * y | (u / T(y,z)) * y = x. [para(1143(a,1),20(a,1)),flip(a)]. given #1002 (H,wt=18): 1167 x * T(y,z) != u * y | (x / y) * T(y,z) = u. [para(1145(a,1),20(a,1))]. given #1003 (H,wt=18): 1178 L(x \ 1,x,T(x,y) / x) = T(1 / x,T(x,y)). [hyper(654,a,1157,a)]. given #1004 (H,wt=19): 1177 R(T(x,L(x,y,x) * y),y,T(x,x * y)) = T(x,y). [para(598(a,1),1173(a,1,1,2))]. given #1005 (H,wt=20): 1154 (x * y) * T(y,z) != y * u | T(x * T(y,z),y) = u. [para(1140(a,1),169(a,2)),flip(a)]. given #1006 (H,wt=20): 1160 T(x,y) / x != T(x,y) * z | T(1 / x,T(x,y)) = z. [para(1150(a,1),169(a,2)),flip(a)]. given #1007 (H,wt=20): 1164 (x * y) / T(y,z) != y * u | T(x / T(y,z),y) = u. [para(1141(a,2),169(a,2)),flip(a)]. given #1008 (H,wt=20): 1170 (x * y) / x != T(x,y) * z | T(y / x,T(x,y)) = z. [para(1166(a,1),169(a,2)),flip(a)]. given #1009 (H,wt=21): 1152 (x * T(T(y,x),z)) * T(y,x) = (y * x) * T(T(y,x),z). [para(119(a,1),1140(a,2,1))]. given #1010 (H,wt=19): 1180 (T(x,y) * z) * T(x,z) = (x * z) * T(T(x,z),y). [para(180(a,1),1152(a,1,1))]. given #1011 (H,wt=21): 1153 (x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z). [para(121(a,1),1140(a,1,1,2)),flip(a)]. given #1012 (H,wt=19): 1183 (x * (y / z)) * (z \ y) = (x * (z \ y)) * (y / z). [para(121(a,1),1153(a,1,2))]. given #1013 (H,wt=17): 1186 (1 / (x / y)) * (y \ x) = (y \ x) / (x / y). [hyper(373,a,1183,a),flip(a)]. given #1014 (H,wt=15): 1190 (x \ 1) / (1 / x) = x \ (1 / (1 / x)). [hyper(236,a,1103,a(flip),b,1186,a(flip))]. given #1015 (H,wt=19): 1185 (x * (y \ z)) / (z / y) = (x / (z / y)) * (y \ z). [hyper(559,a,1183,a)]. given #1016 (H,wt=19): 1187 ((x / (y \ z)) / (z / y)) * (y \ z) = x / (z / y). [hyper(74,a,68,a(flip),b,1183,a(flip)),flip(a)]. given #1017 (H,wt=20): 1193 (1 / (x / y)) * (y \ x) != z | (y \ x) / (x / y) = z. [para(1185(a,1),301(a,1))]. given #1018 (H,wt=21): 1179 K(T(1 / x,T(x,y)),T(x,y)) = x * T(x \ 1,T(x,y)). [para(1157(a,1),1040(a,1,1))]. given #1019 (H,wt=21): 1181 T(T(x,x \ 1),y) / T(x,x \ 1) = T(x,y) * (x \ 1). [hyper(74,a,54,a(flip),b,1180,a)]. given #1020 (H,wt=19): 1195 T(T(x,x \ 1),y) / T(x,x \ 1) = x \ T(x,y). [hyper(236,a,930,a(flip),b,1181,a)]. given #1021 (H,wt=21): 1189 (x \ y) \ ((x \ y) / (y / x)) = T(1 / (y / x),x \ y). [hyper(394,a,xx,b,1186,a),flip(a)]. given #1022 (H,wt=21): 1191 ((x / y) \ x) / (x / (x / y)) = (1 / (x / (x / y))) * y. [para(65(a,1),1186(a,1,2)),flip(a)]. given #1023 (H,wt=17): 1196 (1 / (x / (x / y))) * y = y / (x / (x / y)). [para(65(a,1),1191(a,1,1)),flip(a)]. given #1024 (H,wt=22): 1162 K(x,1 / x) \ (x * (T(x,y) / x)) = L(T(x,y),1 / x,x). [para(1150(a,1),310(a,1,2,2))]. given #1025 (H,wt=22): 1176 x * T(y,x * y) != z * u | z \ ((y * (x * y)) / y) = u. [para(1174(a,1),367(a,1,2))]. given #1026 (H,wt=22): 1182 (x * y) * T(T(x,y),z) != u * T(x,y) | T(x,z) * y = u. [para(1180(a,1),20(a,1))]. given #1027 (H,wt=22): 1188 (x * (y / z)) * (z \ y) != u * (y / z) | x * (z \ y) = u. [para(1183(a,2),20(a,1))]. given #1028 (H,wt=22): 1194 ((x / (y \ z)) / (z / y)) * (y \ z) != u | x / (z / y) = u. [para(1185(a,1),379(a,1))]. given #1029 (H,wt=22): 1197 (x / (y / z)) * (z \ y) != u | (x * (z \ y)) / (y / z) = u. [para(15(a,1),1194(a,1,1,1))]. given #1030 (H,wt=23): 902 x * R(y,x,z) != x * u | T(((x * y) * z) / (x * z),x) = u. [para(758(a,1),169(a,2)),flip(a)]. given #1031 (H,wt=23): 907 ((x / y) * ((y \ z) \ z)) / (x / y) = T(x / (x / y),y \ z). [para(120(a,1),416(a,1,1,2))]. given #1032 (H,wt=23): 912 (x * (T(y,x) * z)) \ ((y * x) * z) != u | a(x,T(y,x),z) = u. [para(119(a,1),679(a,1,2,1))]. given #1033 (H,wt=23): 918 ((x * (y / (y / z))) / x) \ ((y / z) * ((x * z) / x)) = y / z. [para(65(a,1),828(a,1,2,2,1,2))]. given #1034 (H,wt=23): 943 T(x * ((y \ 1) \ 1),z) / ((y \ 1) \ 1) = y \ T(y * x,z). [hyper(236,a,877,a(flip),b,933,a)]. given #1035 (H,wt=23): 946 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((1 / x) \ y),x). [para(937(a,1),398(a,1,2))]. given #1036 (H,wt=23): 953 (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). [para(158(a,1),443(a,1,2,1))]. given #1037 (H,wt=23): 956 (x * y) * L(T(x,x * y),z,u) = x * (y * L(T(x,y),z,u)). [para(595(a,1),444(a,1,2,1))]. given #1038 (H,wt=19): 1202 x * (y * L(T(x,y),z,u)) = L(x,z,u) * (x * y). [hyper(369,a,956,a),flip(a)]. given #1039 (H,wt=17): 1203 L(x,y,z) * (x * u) = x * (L(x,y,z) * u). [para(181(a,1),1202(a,1,2)),flip(a)]. given #1040 (H,wt=15): 1207 L(x,y,z) * (x \ 1) = x \ L(x,y,z). [hyper(366,a,1203,a),flip(a)]. given #1041 (H,wt=15): 1211 x * (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(72,a,56,a(flip),b,1203,a),flip(a)]. given #1042 (H,wt=15): 1215 L(x,y,z) \ (x \ L(x,y,z)) = x \ 1. [hyper(80,a,1207,a)]. given #1043 (H,wt=15): 1219 x \ (L(x,y,z) \ x) = L(x,y,z) \ 1. [hyper(80,a,1211,a)]. given #1044 (H,wt=17): 1205 x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). [hyper(551,a,1203,a)]. given #1045 (H,wt=17): 1206 L(x,y,z) * (x \ (L(x,y,z) \ u)) = x \ u. [hyper(546,a,1203,a),flip(a)]. given #1046 (H,wt=17): 1208 x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u. [hyper(307,a,1203,a),flip(a)]. given #1047 (H,wt=17): 1209 L(x,y,z) \ (x * (L(x,y,z) * u)) = x * u. [hyper(80,a,1203,a)]. given #1048 (H,wt=17): 1210 L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). [hyper(72,a,88,a(flip),b,1203,a)]. given #1049 (H,wt=18): 1221 L(x,y,z) \ x != x * u | L(x,y,z) \ 1 = u. [para(1211(a,1),19(a,1))]. given #1050 (H,wt=19): 1230 x \ (L(x,y,z) \ (u * x)) = L(x,y,z) \ T(u,x). [hyper(72,a,32,a,b,1206,a),flip(a)]. given #1051 (H,wt=20): 1213 L(x,y,z) * (x * u) != x * w | L(x,y,z) * u = w. [para(1203(a,2),19(a,1))]. given #1052 (H,wt=20): 1231 L(x,y,z) * u != x * w | L(x,y,z) * (x \ u) = w. [para(1208(a,1),19(a,1))]. given #1053 (H,wt=22): 1220 (x \ 1) \ (((y * x) \ y) \ (x \ 1)) = L(x \ 1,x,y) \ 1. [hyper(72,a,708,a(flip),b,1211,a)]. given #1054 (H,wt=22): 1224 L(L(x,y,z) \ 1,x,1 / x) = (1 / x) * (L(x,y,z) \ x). [para(1211(a,1),430(a,1,2)),flip(a)]. given #1055 (H,wt=22): 1228 x * (L(x,y,z) \ 1) != u * w | (L(x,y,z) \ x) / w = u. [para(1219(a,1),529(a,1,2))]. given #1056 (H,wt=23): 974 x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). [para(725(a,1),433(a,1,2)),flip(a)]. given #1057 (H,wt=21): 1235 (x \ y) * T((x \ y) \ z,y) = x \ ((y \ (x * z)) * y). [hyper(72,a,119,a(flip),b,974,a),flip(a)]. given #1058 (H,wt=19): 1238 (x \ y) * T((x \ y) \ 1,y) = x \ ((y \ x) * y). [para(12(a,1),1235(a,2,2,1,2))]. given #1059 (H,wt=19): 1239 K(x,y) = ((y * x) \ y) * T(((y * x) \ y) \ 1,y). [hyper(236,a,397,a,b,1238,a),flip(a)]. given #1060 (H,wt=19): 1240 T(((x * y) \ x) \ 1,x) = ((x * y) \ x) \ K(y,x). [hyper(72,a,397,a,b,1238,a),flip(a)]. given #1061 (H,wt=20): 1242 T(L(x \ 1,x,y) \ 1,y) = ((y * x) \ y) \ K(x,y). [para(158(a,2),1240(a,1,1,1))]. given #1062 (H,wt=21): 1236 x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). [para(12(a,1),974(a,2,2,1,2))]. given #1063 (H,wt=19): 1248 x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). [para(1040(a,2),1236(a,1,2)),flip(a)]. given #1064 (H,wt=19): 1250 K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). [hyper(545,a,1248,a),flip(a)]. given #1065 (H,wt=21): 1245 K(x,y) = L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y). [para(1242(a,2),386(a,1,2)),flip(a)]. given #1066 (H,wt=21): 1246 (x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). [hyper(80,a,1236,a),flip(a)]. given #1067 (H,wt=21): 1247 x * T(x \ y,y \ x) = y * K((y \ x) \ 1,y \ x). [para(272(a,1),1236(a,1,2)),flip(a)]. given #1068 (H,wt=21): 1251 (x * y) * K(z \ (z / ((x * y) \ x)),z) = x * T(y,z). [para(13(a,1),1248(a,1,2,1)),flip(a)]. given #1069 (H,wt=21): 1254 K(x \ (x / (y \ (y / z))),x) = y \ ((y / z) * T(z,x)). [para(65(a,1),1250(a,2,2,2,1))]. given #1070 (H,wt=19): 1256 K(x \ (x / (x \ (x / y))),x) = x \ ((y * x) / y). [para(1166(a,1),1254(a,2,2))]. given #1071 (H,wt=22): 1241 ((x * y) \ x) * T(((x * y) \ x) \ 1,x) != z | K(y,x) = z. [para(1240(a,2),216(a,1,2)),flip(b)]. given #1072 (H,wt=18): 1257 (x * y) \ ((x \ (x * y)) * x) != z | K(y,x) = z. [para(1238(a,1),1241(a,1))]. given #1073 (H,wt=23): 975 (T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y. [para(735(a,1),278(a,1,1)),flip(a)]. given #1074 (H,wt=23): 986 K(x \ 1,x) * y != (x \ 1) * z | L(x \ z,x,x \ 1) = y. [para(957(a,1),19(a,1)),flip(a)]. given #1075 (H,wt=23): 1000 T(T(x,y),x * (T(x,y) \ z)) = (x * (T(x,y) \ z)) \ (x * z). [hyper(394,a,88,a(flip),b,996,a)]. given #1076 (H,wt=23): 1015 T((1 / x) * (T(x,y) \ x),x) = (1 / x) * ((T(x,y) \ 1) * x). [para(1010(a,1),935(a,1,2,1)),flip(a)]. given #1077 (H,wt=23): 1028 T(x / y,z) \ T(x / y,y) = (y \ x) * (T(x / y,z) \ 1). [para(121(a,1),1027(a,1,1)),flip(a)]. given #1078 (H,wt=21): 1259 (x \ y) * (T(y / x,z) \ 1) = T(y / x,z) \ (x \ y). [para(121(a,1),1028(a,1,2)),flip(a)]. given #1079 (H,wt=23): 1045 T(x,y) * ((T(x,y) \ 1) * x) = x * K(x \ (x / T(x,y)),x). [para(1040(a,2),999(a,1,2)),flip(a)]. given #1080 (H,wt=23): 1059 ((x * y) \ y) / (T(x,y) \ 1) = T(x,y) * ((y * T(x,y)) \ y). [para(119(a,1),1057(a,1,1,1))]. given #1081 (H,wt=21): 1261 ((x * y) \ y) / (T(x,y) \ 1) = T(x,y) * ((x * y) \ y). [para(119(a,1),1059(a,2,2,1))]. given #1082 (H,wt=23): 1091 (x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z). [para(162(a,1),1007(a,1,2,1)),flip(a)]. given #1083 (H,wt=19): 1262 ((x * y) / x) * (y * z) = y * (((x * y) / x) * z). [para(13(a,1),1091(a,1,1)),flip(a)]. given #1084 (H,wt=17): 1264 ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). [hyper(366,a,1262,a),flip(a)]. given #1085 (H,wt=17): 1265 (((x * y) * x) / (x * y)) * y = T(x * y,x). [hyper(359,a,1262,a),flip(a)]. given #1086 (H,wt=17): 1268 x * (((y * x) / y) \ 1) = ((y * x) / y) \ x. [hyper(72,a,56,a(flip),b,1262,a),flip(a)]. given #1087 (H,wt=17): 1270 ((x * y) * x) / (x * y) = T(x * y,x) / y. [hyper(87,a,1265,a),flip(a)]. given #1088 (H,wt=13): 1273 T(T(x * y,x) / y,x * y) = x. [para(1270(a,1),162(a,1,1))]. given #1089 (H,wt=16): 1274 T(T(x * y,x) / y,y) = R(x,y,T(x,y)). [para(1270(a,1),864(a,1,1))]. given #1090 (H,wt=14): 1276 x \ T(y * x,y) = R(y,x,T(y,x)). [hyper(280,a,1274,a)]. given #1091 (H,wt=11): 1279 L(R(x,y,T(x,y)),y,x) = x. [para(1276(a,1),432(a,1,1))]. given #1092 (H,wt=14): 1277 x * R(y,x,T(y,x)) = T(y * x,y). [para(1274(a,1),167(a,1,2))]. given #1093 (H,wt=17): 1271 x \ (((y * x) / y) \ x) = ((y * x) / y) \ 1. [hyper(80,a,1268,a)]. given #1094 (H,wt=17): 1278 R(x,y,T(x,y)) != z | y \ T(x * y,x) = z. [para(1274(a,1),280(a,1))]. given #1095 (H,wt=19): 1263 x \ (((y * x) / y) * z) = ((y * x) / y) * (x \ z). [hyper(551,a,1262,a)]. given #1096 (H,wt=19): 1266 x * (((y * x) / y) * (x \ z)) = ((y * x) / y) * z. [hyper(307,a,1262,a),flip(a)]. given #1097 (H,wt=13): 1281 T(x,y) = ((x * y) / x) * (y \ x). [hyper(168,a,16,a(flip),b,1266,a)]. given #1098 (H,wt=13): 1284 T(x,y) / (y \ x) = (x * y) / x. [hyper(74,a,1281,a,b,xx)]. given #1099 (H,wt=13): 1285 ((x * y) / x) \ T(x,y) = y \ x. [hyper(72,a,1281,a,b,xx)]. given #1100 (H,wt=15): 1286 T(x,x / y) / y = (x * (x / y)) / x. [hyper(312,a,1281,a(flip))]. given #1101 (H,wt=13): 1293 T(T(x,x / y) / y,x) = x / y. [para(1286(a,2),162(a,1,1))]. given #1102 (H,wt=15): 1287 ((x * (x / y)) / x) * y = T(x,x / y). [para(65(a,1),1281(a,2,2)),flip(a)]. given #1103 (H,wt=15): 1296 x * ((y * (x \ y)) / y) = T(y,y / x). [hyper(916,a,1287,a)]. given #1104 (H,wt=15): 1297 x \ T(y,y / x) = (y * (x \ y)) / y. [hyper(72,a,1287,a(flip),b,825,a(flip))]. given #1105 (H,wt=13): 1300 T(x \ T(y,y / x),y) = x \ y. [para(1297(a,2),162(a,1,1))]. given #1106 (H,wt=15): 1302 T((x \ y) \ T(y,x),y) = (x \ y) \ y. [para(62(a,1),1300(a,1,1,2,2))]. given #1107 (H,wt=16): 1288 T(x,y) / (y \ x) != z | (x * y) / x = z. [para(1281(a,2),296(a,1,1)),flip(b)]. given #1108 (H,wt=17): 1283 T((x * y) / x,y \ x) = (y \ x) \ T(x,y). [hyper(394,a,1281,a,b,xx)]. given #1109 (H,wt=17): 1298 (x / y) * ((x * y) / x) = T(x,x / (x / y)). [para(65(a,1),1296(a,1,2,1,2))]. given #1110 (H,wt=17): 1303 T(x,x / (x / T(y,x))) = (x / T(y,x)) * y. [para(163(a,1),1298(a,1,2)),flip(a)]. given #1111 (H,wt=17): 1304 T(x,x / (x / T(y,x))) * T(y,x) = x * y. [para(1303(a,2),1143(a,1,1))]. given #1112 (H,wt=18): 1294 ((x * (x / y)) / x) * y != z | T(x,x / y) = z. [para(1286(a,1),221(a,1,1)),flip(b)]. given #1113 (H,wt=19): 1267 ((x * y) / x) \ (y * z) = y * (((x * y) / x) \ z). [hyper(72,a,88,a(flip),b,1262,a)]. given #1114 (H,wt=19): 1305 T(x,x / (x / T(y,x))) * (y * x) = x * (x * y). [para(1304(a,1),999(a,1,2)),flip(a)]. given #1115 (H,wt=19): 1306 T(x,x / (x / T(y,x))) = (x * (x * y)) / (y * x). [hyper(87,a,1305,a),flip(a)]. given #1116 (H,wt=17): 1307 (x * (x * y)) / (y * x) = (x / T(y,x)) * y. [hyper(236,a,1303,a(flip),b,1306,a(flip))]. given #1117 (H,wt=20): 1289 (x \ y) * z != T(y,x) | T((y * x) / y,x \ y) = z. [para(1281(a,2),169(a,2))]. given #1118 (H,wt=20): 1299 (x * y) * L((x \ y) / y,y,x) = T(y,y / (x * y)). [para(819(a,2),1296(a,1,2))]. given #1119 (H,wt=17): 1309 x * (y * ((x \ y) / y)) = T(y,y / (x * y)). [hyper(219,a,1299,a)]. given #1120 (H,wt=20): 1308 R(((x * (x * y)) / x) / y,y,x) = (x / T(y,x)) * y. [hyper(793,a,1307,a)]. given #1121 (H,wt=20): 1310 T(x,x / (y * x)) != z | y * (x * ((y \ x) / x)) = z. [para(1299(a,1),219(a,1))]. given #1122 (H,wt=20): 1311 (x / T(y,x)) * y != z | (x * (x * y)) / (y * x) = z. [para(1308(a,1),563(a,1))]. given #1123 (H,wt=21): 1269 (x \ 1) * ((y * ((x \ 1) \ 1)) / y) = x \ ((y * x) / y). [hyper(236,a,826,a,b,1264,a(flip)),flip(a)]. given #1124 (H,wt=22): 1282 x \ (((y * x) / y) * z) != u | ((y * x) / y) * (x \ z) = u. [para(1266(a,1),283(a,1,2)),flip(b)]. given #1125 (H,wt=22): 1295 ((x * (x / y)) / x) * y != z * u | z \ T(x,x / y) = u. [para(1286(a,1),427(a,1,1))]. given #1126 (H,wt=22): 1301 x * ((y * (x \ y)) / y) != z * u | z \ T(y,y / x) = u. [para(1297(a,1),367(a,1,2))]. given #1127 (H,wt=23): 1099 (x \ T(x,y)) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(929(a,1),1049(a,1,1))]. given #1128 (H,wt=23): 1114 L((x \ y) / y,z,u) * y = (L(1 / x,z,u) * x) * (x \ y). [para(354(a,1),702(a,1,1,1))]. given #1129 (H,wt=23): 1127 (1 / x) \ ((y * ((1 / x) * z)) / y) = x * ((y * (x \ z)) / y). [hyper(72,a,837,a(flip),b,430,a)]. given #1130 (H,wt=23): 1128 ((x * (y / (1 / z))) / x) * (1 / z) = ((x * (y * z)) / x) / z. [hyper(74,a,843,a(flip),b,190,a),flip(a)]. given #1131 (H,wt=17): 1313 ((x * (x * y)) / x) / y = T(x,x / (1 / y)). [hyper(1294,a,1128,a),flip(a)]. given #1132 (H,wt=18): 1316 R(T(x,x / (1 / y)),y,x) = (x / T(y,x)) * y. [para(1313(a,1),1308(a,1,1))]. given #1133 (H,wt=19): 1315 T(x,x / (1 / (x \ y))) = ((x * y) / x) / (x \ y). [para(14(a,1),1313(a,1,1,1,2)),flip(a)]. given #1134 (H,wt=21): 1314 ((x * (1 / (1 / y))) / x) * (1 / y) = ((x * y) / x) / y. [para(11(a,1),1128(a,2,1,1,2))]. given #1135 (H,wt=21): 1317 (1 / x) * ((y * ((1 / x) \ 1)) / y) = ((y * x) / y) / x. [hyper(916,a,1314,a)]. given #1136 (H,wt=17): 1318 (1 / x) * ((y * x) / y) = ((y * x) / y) / x. [para(65(a,1),1317(a,1,2,1,2))]. given #1137 (H,wt=21): 1319 ((x * (y \ 1)) / x) / (y \ 1) = y * ((x * (y \ 1)) / x). [hyper(290,a,1318,a),flip(a)]. given #1138 (H,wt=23): 1139 (x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y. [hyper(667,a,868,a)]. given #1139 (H,wt=23): 1184 (x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z. [para(162(a,1),1153(a,1,2)),flip(a)]. given #1140 (H,wt=19): 1321 (x * ((y * z) / y)) * z = (x * z) * ((y * z) / y). [para(13(a,1),1184(a,1,1,2)),flip(a)]. given #1141 (H,wt=17): 1323 (1 / ((x * y) / x)) * y = y / ((x * y) / x). [hyper(373,a,1321,a),flip(a)]. given #1142 (H,wt=17): 1325 (x / ((y * x) / y)) / x = 1 / ((y * x) / y). [hyper(87,a,1323,a)]. given #1143 (H,wt=19): 1322 (x * y) / ((z * y) / z) = (x / ((z * y) / z)) * y. [hyper(559,a,1321,a)]. given #1144 (H,wt=21): 1324 ((x / y) * y) * ((x * y) / x) = T(x,x / (x / y)) * y. [para(1298(a,1),1321(a,1,1)),flip(a)]. given #1145 (H,wt=17): 1326 T(x,x / (x / y)) * y = x * ((x * y) / x). [hyper(303,a,1324,a),flip(a)]. given #1146 (H,wt=17): 1327 T(x,x / (x / y)) * (x \ y) = (x * y) / x. [hyper(1017,a,1326,a)]. given #1147 (H,wt=17): 1329 ((x * y) / x) / (x \ y) = T(x,x / (x / y)). [hyper(87,a,1327,a)]. given #1148 (H,wt=17): 1332 T(x,x / (1 / (x \ y))) = T(x,x / (x / y)). [hyper(236,a,1315,a,b,1329,a(flip)),flip(a)]. given #1149 (H,wt=17): 1333 T(x,x / (x / (x * y))) = T(x,x / (1 / y)). [para(13(a,1),1332(a,1,2,2,2)),flip(a)]. given #1150 (H,wt=20): 1330 (x * y) / x != z * (x \ y) | T(x,x / (x / y)) = z. [para(1327(a,1),20(a,1))]. given #1151 (H,wt=20): 1331 ((x * y) / x) / (x \ y) != z | T(x,x / (x / y)) = z. [para(1327(a,1),296(a,1,1)),flip(b)]. given #1152 (H,wt=23): 1217 x \ T(x * (x \ L(x,y,z)),u) = T(L(x,y,z),u) * (x \ 1). [para(1207(a,1),925(a,1,2,1,2))]. given #1153 (H,wt=19): 1334 T(L(x,y,z),u) * (x \ 1) = x \ T(L(x,y,z),u). [para(14(a,1),1217(a,1,2,1)),flip(a)]. given #1154 (H,wt=19): 1336 T(L(x,y,z),u) * (x \ 1) = x \ L(T(x,u),y,z). [para(40(a,2),1334(a,2,2))]. given #1155 (H,wt=19): 1337 L(T(x,y),z,u) * (x \ 1) = x \ L(T(x,y),z,u). [para(40(a,2),1336(a,1,1))]. given #1156 (H,wt=23): 1234 x \ (y * T(y \ (x * z),u)) = (x \ y) * T((x \ y) \ z,u). [hyper(80,a,974,a)]. given #1157 (H,wt=23): 1237 x * T(x \ (y * (z * (y \ x))),u) = y * (T(z,u) * (y \ x)). [para(403(a,1),974(a,1,2)),flip(a)]. given #1158 (H,wt=23): 1243 T(((x * y) \ x) \ 1,x) != z | L(y \ 1,y,x) \ K(y,x) = z. [para(1240(a,2),711(a,1))]. given #1159 (H,wt=23): 1249 (x \ y) * K(z \ (z / ((x \ y) \ (x \ 1))),z) = x \ T(y,z). [hyper(947,a,1248,a),flip(a)]. given #1160 (H,wt=23): 1258 (x * T(x \ (y * z),u)) / z = T(y / (x / z),u) * (x / z). [hyper(74,a,405,a(flip),b,975,a)]. given #1161 (H,wt=23): 1290 ((x * R(1 / y,y,x)) / x) * (y * x) = T(x,R(1 / y,y,x)). [para(358(a,1),1281(a,2,2)),flip(a)]. given #1162 (H,wt=20): 1340 (((x * (1 / y)) / x) * y) * x = T(x,R(1 / y,y,x)). [hyper(236,a,841,a(flip),b,1290,a(flip)),flip(a)]. given #1163 (H,wt=20): 1341 (x * ((y * (x \ 1)) / y)) * y = T(y,R(1 / x,x,y)). [para(825(a,1),1340(a,1,1))]. given #1164 (H,wt=23): 1312 (L(1 / x,y,z) * x) * (x \ u) = u * L(u \ (x \ u),y,z). [hyper(816,a,1114,a),flip(a)]. given #1165 (H,wt=23): 1320 (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. [para(405(a,1),1139(a,2,1))]. given #1166 (H,wt=21): 1346 x * T(x \ (x \ (y * x)),z) = T(x * T(x \ y,z),x). [hyper(168,a,1320,a(flip),b,857,a(flip)),flip(a)]. given #1167 (H,wt=19): 1349 T(x * T(x \ y,z),x) = x * T(x \ T(y,x),z). [para(32(a,2),1346(a,1,2,1,2)),flip(a)]. given #1168 (H,wt=17): 1350 T(x * T(x \ y,x),x) = (x \ T(y,x)) * x. [hyper(236,a,119,a(flip),b,1349,a)]. given #1169 (H,wt=15): 1352 T((x \ y) * x,x) = (x \ T(y,x)) * x. [para(119(a,1),1350(a,1,1))]. given #1170 (H,wt=15): 1353 x * (T((x \ y) * x,x) / x) = T(y,x). [para(1352(a,2),61(a,1,2,1))]. given #1171 (H,wt=15): 1354 x * (T(y * x,x) / x) = T(x * y,x). [para(13(a,1),1353(a,1,2,1,1,1))]. given #1172 (H,wt=15): 1355 T(x * (y / x),x) = x * (T(y,x) / x). [para(66(a,1),1353(a,1,2,1,1)),flip(a)]. given #1173 (H,wt=15): 1356 T(x * y,y) / y = y \ T(y * x,y). [hyper(80,a,1354,a),flip(a)]. given #1174 (H,wt=15): 1357 x \ T(x * (y / x),x) = T(y,x) / x. [hyper(72,a,1355,a,b,xx)]. given #1175 (H,wt=19): 1351 x \ T(x * T(x \ y,z),x) = T(x \ T(y,x),z). [hyper(72,a,1349,a,b,xx)]. given #1176 (H,wt=19): 1359 x \ T(x * T(y,z),x) = T(x \ T(x * y,x),z). [para(13(a,1),1351(a,1,2,1,2,1))]. given #1177 (H,wt=19): 1360 x \ T(x * T(y / x,z),x) = T(T(y,x) / x,z). [para(1357(a,1),1359(a,2,1))]. given #1178 (H,wt=19): 1361 T(x * T(y / x,z),x) = x * T(T(y,x) / x,z). [para(1360(a,1),14(a,1,2)),flip(a)]. given #1179 (H,wt=17): 1362 T(x * T(1 / x,y),x) = x * T(1 / x,y). [para(147(a,1),1361(a,2,2,1,1))]. given #1180 (H,wt=21): 1347 (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. [para(11(a,1),1320(a,1,2,1,2))]. given #1181 (H,wt=11): 1365 T(x,x * T(x \ 1,y)) = x. [hyper(168,a,703,a(flip),b,1347,a(flip))]. given #1182 (H,wt=9): 1366 T(x,(x \ 1) * x) = x. [para(119(a,1),1365(a,1,2))]. given #1183 (H,wt=9): 1367 T(x,K(x \ 1,x)) = x. [para(272(a,1),1365(a,1,2))]. given #1184 (H,wt=12): 1371 R(x,x \ 1,x) = T(x,x \ 1). [para(1366(a,1),760(a,1,1))]. given #1185 (H,wt=13): 1370 T(x \ 1,x \ T(x,y)) = x \ 1. [para(927(a,1),1365(a,1,2))]. given #1186 (H,wt=15): 1369 T(x \ 1,T(x,y) * (x \ 1)) = x \ 1. [para(407(a,1),1365(a,1,2))]. given #1187 (H,wt=15): 1372 R(x,x \ 1,x) != y | (x \ 1) \ 1 = y. [para(1371(a,2),375(a,1))]. given #1188 (H,wt=13): 1376 x / K(x \ 1,x) = (x \ 1) \ 1. [hyper(1372,a,500,a(flip)),flip(a)]. given #1189 (H,wt=13): 1377 ((x \ 1) \ 1) * K(x \ 1,x) = x. [para(1376(a,1),16(a,1,1))]. given #1190 (H,wt=15): 1373 T(x \ T(x,y),x \ 1) = x \ T(x,y). [hyper(35,a,1370,a)]. given #1191 (H,wt=16): 1378 ((x \ 1) \ 1) \ x != y | K(x \ 1,x) = y. [para(1376(a,1),282(a,1,1)),flip(b)]. given #1192 (H,wt=18): 1375 R(x \ 1,T(x,y),x \ 1) = T(x \ 1,T(x,y)). [para(1369(a,1),760(a,1,1))]. given #1193 (H,wt=19): 1374 (x \ T(x,y)) * (x \ 1) = (x \ 1) * (x \ T(x,y)). [para(1370(a,1),119(a,1,2))]. given #1194 (H,wt=20): 1379 T((x * y) \ (y * x),y \ 1) = L(y \ T(y,x),y,x). [para(1373(a,1),715(a,1,1)),flip(a)]. given #1195 (H,wt=15): 1381 K(x,y) = T((y * x) \ (x * y),x \ 1). [hyper(236,a,714,a,b,1379,a),flip(a)]. given #1196 (H,wt=11): 1382 T(K(x,y),x \ 1) = K(x,y). [para(26(a,2),1381(a,2,1)),flip(a)]. given #1197 (H,wt=11): 1383 T(x \ 1,K(x,y)) = x \ 1. [hyper(35,a,1382,a)]. given #1198 (H,wt=15): 1384 K(x,y) * (x \ 1) = (x \ 1) * K(x,y). [para(1382(a,1),119(a,1,2)),flip(a)]. given #1199 (H,wt=13): 1387 K(x \ 1,x) * ((x \ 1) \ 1) = x. [hyper(236,a,1377,a(flip),b,1384,a)]. given #1200 (H,wt=18): 1385 (x \ 1) * K(x,y) != z | K(x,y) * (x \ 1) = z. [para(1382(a,1),220(a,1,2))]. given #1201 (H,wt=21): 1364 x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y. [hyper(236,a,857,a(flip),b,1347,a(flip)),flip(a)]. given #1202 (H,wt=19): 1388 (x * ((y \ (x \ y)) * y)) / y = x * T(x \ 1,y). [hyper(590,a,1364,a)]. given #1203 (H,wt=21): 1386 T(x,K(x \ 1,y)) * (x \ 1) = (x \ 1) * ((x \ 1) \ 1). [para(1383(a,1),407(a,1,2)),flip(a)]. given #1204 (H,wt=13): 1390 T(x,K(x \ 1,y)) * (x \ 1) = 1. [hyper(236,a,14,a(flip),b,1386,a)]. given #1205 (H,wt=9): 1392 T(x,K(x \ 1,y)) = x. [hyper(86,a,1390,a)]. given #1206 (H,wt=11): 1393 T(1 / x,K(x,y)) = 1 / x. [para(65(a,1),1392(a,1,2,1))]. given #1207 (H,wt=11): 1394 T(K(x,y),1 / x) = K(x,y). [hyper(35,a,1393,a)]. given #1208 (H,wt=22): 1363 x \ T(x * T(y / x,z),x) != u | T(T(y,x) / x,z) = u. [para(1361(a,2),283(a,1,2)),flip(b)]. given #1209 (H,wt=22): 1395 T((1 * x) / y,K(y / x,z)) = R(1 / (y / x),y / x,x). [para(1393(a,1),735(a,1,1)),flip(a)]. given #1210 (H,wt=15): 1396 T((1 * x) / y,K(y / x,z)) = x / y. [hyper(236,a,355,a(flip),b,1395,a)]. given #1211 (H,wt=13): 1397 T(x / y,K(y / x,z)) = x / y. [para(11(a,1),1396(a,1,1,1))]. given #1212 (H,wt=15): 1398 T(x \ y,K(x / y,z)) = T(y / x,x). [para(1397(a,1),183(a,1,1)),flip(a)]. given #1213 (H,wt=13): 1399 T(x \ y,K(x / y,z)) = x \ y. [hyper(236,a,121,a(flip),b,1398,a)]. given #1214 (H,wt=23): 1338 (x \ y) * T((x \ y) \ (x \ z),u) = x \ (y * T(y \ z,u)). [para(14(a,1),1234(a,1,2,2,1,2)),flip(a)]. given #1215 (H,wt=23): 1339 (x * T(x \ (y * z),u)) / z = (x / z) * T((x / z) \ y,u). [hyper(236,a,405,a(flip),b,1258,a)]. given #1216 (H,wt=21): 1401 (x / y) * T((x / y) \ 1,z) = (x * T(x \ y,z)) / y. [para(11(a,1),1339(a,1,1,2,1,2)),flip(a)]. given #1217 (H,wt=19): 1406 K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z. [hyper(1041,a,1401,a)]. given #1218 (H,wt=21): 1403 (x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y. [para(119(a,1),1339(a,1,1)),flip(a)]. given #1219 (H,wt=21): 1407 ((x / y) * T((x / y) \ 1,z)) * y = x * T(x \ y,z). [para(1401(a,2),16(a,1,1))]. given #1220 (H,wt=21): 1410 K((x / y) \ 1,x / y) * y = x * T(x \ y,x / y). [para(272(a,1),1407(a,1,1))]. given #1221 (H,wt=23): 1343 (x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). [para(610(a,1),1312(a,1,1))]. given #1222 (H,wt=23): 1344 x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. [hyper(236,a,857,a(flip),b,1320,a(flip)),flip(a)]. given #1223 (H,wt=23): 1358 x \ T(x * T((x * y) / x,z),x) = T(x * T(y,z),x) / x. [para(406(a,1),1356(a,1,1,1)),flip(a)]. given #1224 (H,wt=19): 1416 T(x * T(y,z),x) / x = T(T(x * y,x) / x,z). [hyper(1363,a,1358,a),flip(a)]. given #1225 (H,wt=23): 1402 ((x / y) * T((x / y) \ z,u)) * y = x * T(x \ (z * y),u). [para(1339(a,1),16(a,1,1))]. given #1226 (H,wt=23): 1414 (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). [para(16(a,1),1344(a,1,2,2,1,2,2)),flip(a)]. given #1227 (H,wt=21): 1419 x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. [para(119(a,1),1414(a,1,1)),flip(a)]. given #1228 (H,wt=19): 1423 ((x \ (x / y)) * x) * y = x * (y * T(y \ 1,x)). [para(52(a,1),1419(a,1,2,2,1,2)),flip(a)]. given #1229 (H,wt=21): 1425 ((x \ (y / y)) * x) * y = x * (K(x \ 1,x) * (x \ y)). [para(1106(a,2),1419(a,1,2)),flip(a)]. given #1230 (H,wt=19): 1427 x * (K(x \ 1,x) * (x \ y)) = ((x \ 1) * x) * y. [para(59(a,1),1425(a,1,1,1,2)),flip(a)]. given #1231 (H,wt=19): 1429 x * (K(x \ 1,x) * (x \ y)) = K(x \ 1,x) * y. [para(187(a,2),1427(a,2,1))]. given #1232 (H,wt=19): 1430 K(x \ 1,x) * (x * y) = x * (K(x \ 1,x) * y). [para(13(a,1),1429(a,1,2,2)),flip(a)]. given #1233 (H,wt=23): 1417 (((x / y) \ z) * (x / y)) * y = x * T(x \ (z * y),x / y). [para(119(a,1),1402(a,1,1))]. given #1234 (H,wt=23): 1422 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ (x \ x),y)). [para(1038(a,2),1414(a,1,1))]. given #1235 (H,wt=21): 1431 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ 1,y)). [para(52(a,1),1422(a,2,2,2,1,2))]. given #1236 (H,wt=19): 1433 ((x / y) * K(y \ 1,y)) * y = x * K(y \ 1,y). [para(272(a,1),1431(a,2,2))]. given #1237 (H,wt=13): 1434 (1 / x) * K(x \ 1,x) = x \ 1. [hyper(18,a,249,a(flip),b,1433,a)]. given #1238 (H,wt=13): 1437 (1 / x) \ (x \ 1) = K(x \ 1,x). [hyper(80,a,1434,a)]. given #1239 (H,wt=19): 1435 (x * K(y \ 1,y)) * y = (x * y) * K(y \ 1,y). [para(15(a,1),1433(a,1,1,1))]. given #1240 (H,wt=22): 1438 K(x \ 1,x) * y != x \ 1 | T(1 / x,K(x \ 1,x)) = y. [para(1434(a,1),169(a,2))]. given #1241 (H,wt=22): 1442 (x * K(y \ 1,y)) * y != z * K(y \ 1,y) | x * y = z. [para(1435(a,2),20(a,1))]. given #1242 (H,wt=23): 1426 x * ((y \ x) * T((y \ x) \ 1,x)) = ((x \ y) * x) * (y \ x). [para(62(a,1),1423(a,1,1,1,2)),flip(a)]. given #1243 (H,wt=19): 1443 ((x \ y) * x) * (y \ x) = x * (y \ ((x \ y) * x)). [para(1238(a,1),1426(a,1,2)),flip(a)]. given #1244 (H,wt=17): 1444 ((x \ y) * x) * (y \ x) = x * K(x \ y,x). [para(96(a,1),1443(a,2,2))]. given #1245 (H,wt=19): 1445 (x * y) * ((y * x) \ y) = y * K(y \ (y * x),y). [para(13(a,1),1444(a,1,1,1))]. given #1246 (H,wt=15): 1446 (x * y) * ((y * x) \ y) = y * K(x,y). [para(13(a,1),1445(a,2,2,1))]. given #1247 (H,wt=16): 1448 (x * y) * L(x \ 1,x,y) = y * K(x,y). [hyper(236,a,348,a,b,1446,a(flip)),flip(a)]. given #1248 (H,wt=17): 1447 x \ (y * K(x / y,y)) = (y * (x / y)) \ y. [hyper(246,a,1446,a)]. given #1249 (H,wt=24): 175 (x * (y * T(z,x * y))) \ (z * (x * y)) = a(x,y,T(z,x * y)). [para(119(a,1),24(a,2,2)),flip(a)]. given #1250 (H,wt=23): 1450 (L(x,y,z) * (z * y)) \ (x * (z * y)) = a(z,y,T(x,z * y)). [para(606(a,1),175(a,1,1))]. given #1251 (H,wt=24): 498 R(x,K(y \ x,y),z) \ (((y \ x) * y) * z) = K(y \ x,y) * z. [para(249(a,1),143(a,1,2,1))]. given #1252 (H,wt=24): 499 R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u. [para(103(a,1),143(a,1,2,1))]. given #1253 (H,wt=24): 675 R(x,y * z,a(x,y,z)) \ ((x * y) * z) = (y * z) * a(x,y,z). [hyper(72,a,91,a(flip),b,113,a)]. given #1254 (H,wt=24): 753 T((((x * y) / x) \ z) \ z,x) != u | T(y,((x * y) / x) \ z) = u. [para(120(a,1),672(a,1,1))]. given #1255 (H,wt=24): 773 (x * y) * T((x * y) \ x,z) != u | x * (y * T(y \ 1,z)) = u. [para(351(a,2),219(a,1,2))]. given #1256 (H,wt=24): 778 T(x / (y * z),y) * (y * z) != u | ((y \ (x / z)) * y) * z = u. [para(632(a,1),225(a,1,1))]. given #1257 (H,wt=24): 815 R((x * y) / x,z,u) * x != w * v5 | (x * R(y,z,u)) / v5 = w. [para(620(a,2),555(a,1))]. given #1258 (H,wt=24): 838 L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. [para(450(a,1),806(a,2,1,2))]. given #1259 (H,wt=24): 860 (x * y) * L(L(z,T(x,y),y),u,w) = y * (T(x,y) * L(z,u,w)). [para(45(a,1),445(a,1,2))]. given #1260 (H,wt=24): 863 L(R(T(x,y) \ z,u,w),T(x,y),y) = R((x * y) \ (y * z),u,w). [para(457(a,1),44(a,1,1)),flip(a)]. given #1261 (H,wt=24): 976 R(x,y,z) * (x \ u) != w | (x \ u) * R((x \ u) \ u,y,z) = w. [para(62(a,1),824(a,1,1,1))]. given #1262 (H,wt=24): 978 L(T(x / y,z),u,w) * y != v5 | y * L(T(y \ x,z),u,w) = v5. [para(408(a,1),833(a,1,1,1))]. given #1263 (H,wt=24): 1062 ((x \ y) * (y \ x)) \ L((x \ y) \ 1,x \ y,x) = (x \ y) \ 1. [para(14(a,1),1056(a,1,1,2,1))]. given #1264 (H,wt=17): 1456 ((x \ y) * (y \ x)) \ (y \ x) = (x \ y) \ 1. [para(347(a,1),1062(a,1,2))]. given #1265 (H,wt=17): 1457 (x \ y) / ((y \ x) \ 1) = (y \ x) * (x \ y). [para(1456(a,1),62(a,1,2))]. given #1266 (H,wt=20): 1458 (x \ y) / ((y \ x) \ 1) != z | (y \ x) * (x \ y) = z. [para(1456(a,1),294(a,1,2)),flip(b)]. given #1267 (H,wt=24): 1066 L((x \ y) \ 1,x \ y,x) * (x \ y) = (1 / (x \ y)) \ (y \ x). [para(347(a,1),1063(a,1,2)),flip(a)]. given #1268 (H,wt=17): 1459 (1 / (x \ y)) \ (y \ x) = (y \ x) * (x \ y). [para(347(a,1),1066(a,1,1)),flip(a)]. given #1269 (H,wt=17): 1461 (1 / (x \ y)) * ((y \ x) * (x \ y)) = y \ x. [para(1459(a,1),14(a,1,2))]. given #1270 (H,wt=21): 1460 (x \ (x * y)) * ((x * y) \ x) = (1 / ((x * y) \ x)) \ y. [para(13(a,1),1459(a,1,2)),flip(a)]. given #1271 (H,wt=17): 1463 (1 / ((x * y) \ x)) \ y = y * ((x * y) \ x). [para(13(a,1),1460(a,1,1)),flip(a)]. given #1272 (H,wt=17): 1464 (1 / ((x * y) \ x)) * (y * ((x * y) \ x)) = y. [para(1463(a,1),14(a,1,2))]. given #1273 (H,wt=24): 1075 (x \ R(x,y,z)) * K(x \ 1,R(x,y,z)) = (x \ 1) * R(x,y,z). [para(1071(a,1),95(a,1,1))]. given #1274 (H,wt=24): 1083 (x / y) * R((x / y) \ 1,x / y,y) = (1 / (x / y)) \ (y / x). [hyper(72,a,355,a(flip),b,1081,a),flip(a)]. given #1275 (H,wt=17): 1465 (1 / (x / y)) \ (y / x) = (y / x) * (x / y). [hyper(236,a,749,a(flip),b,1083,a(flip))]. given #1276 (H,wt=21): 1466 (x / (y \ x)) * ((y \ x) / x) = (1 / ((y \ x) / x)) \ y. [para(62(a,1),1465(a,1,2)),flip(a)]. given #1277 (H,wt=17): 1467 (1 / ((x \ y) / y)) \ x = x * ((x \ y) / y). [hyper(290,a,1466,a),flip(a)]. given #1278 (H,wt=17): 1469 (1 / ((x \ y) / y)) * (x * ((x \ y) / y)) = x. [para(1467(a,1),14(a,1,2))]. given #1279 (H,wt=24): 1105 (x * T(x \ (y \ x),z)) / (y \ x) != u | y * T(y \ 1,z) = u. [para(1098(a,1),296(a,1,1)),flip(b)]. given #1280 (H,wt=24): 1175 (x * (y * x)) / x != T(x,y * x) * z | T(y,T(x,y * x)) = z. [para(1148(a,2),169(a,2)),flip(a)]. given #1281 (H,wt=24): 1192 (x \ y) / (y / x) != (x \ y) * z | T(1 / (y / x),x \ y) = z. [para(1186(a,1),169(a,2)),flip(a)]. given #1282 (H,wt=24): 1214 L(x,y,z) * (x * u) != w * v5 | w \ (x * (L(x,y,z) * u)) = v5. [para(1203(a,2),545(a,1))]. given #1283 (H,wt=24): 1222 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(L(x,y,z) \ 1,x). [para(1211(a,1),26(a,2,1)),flip(a)]. given #1284 (H,wt=24): 1232 T((x * y) / x,L(y,z,u) * x) = L((y * x) / x,x,L(y,z,u)). [para(1209(a,1),1130(a,1,1,1)),flip(a)]. given #1285 (H,wt=20): 1471 T((x * y) / x,L(y,z,u) * x) = L(y,x,L(y,z,u)). [para(15(a,1),1232(a,2,1))]. given #1286 (H,wt=20): 1472 x * T(y,L(y,z,u) * x) = L(y,x,L(y,z,u)) * x. [para(1471(a,1),406(a,1,1)),flip(a)]. given #1287 (H,wt=18): 1473 L(T(x,y),y,L(x,z,u)) = T(x,L(x,z,u) * y). [hyper(17,a,181,a,b,1472,a),flip(a)]. given #1288 (H,wt=24): 1368 R(x,(x * T(x \ 1,y)) / x,x) = T(x,(x * T(x \ 1,y)) / x). [para(1365(a,1),763(a,1,1))]. given #1289 (H,wt=20): 1474 T(x,(x * T(x \ 1,y)) / x) = R(x,T(1 / x,y),x). [para(408(a,1),1368(a,1,2)),flip(a)]. given #1290 (H,wt=16): 1475 R(x,T(1 / x,y),x) = T(x,T(1 / x,y)). [para(408(a,1),1474(a,1,2)),flip(a)]. given #1291 (H,wt=22): 1476 R(R(x,y,z),T(1 / x,u),x) = R(T(x,T(1 / x,u)),y,z). [para(1475(a,1),46(a,1,1)),flip(a)]. given #1292 (H,wt=24): 1453 (x * y) * T((x * y) \ z,x) != u | ((x \ (z / y)) * x) * y = u. [para(405(a,1),778(a,1))]. given #1293 (H,wt=25): 682 x \ ((x * y) * (L(y \ 1,y,x) * z)) = L(z,(x * y) \ x,x * y). [para(158(a,2),104(a,1,2,2,1))]. given #1294 (H,wt=25): 733 R(x / (y * z),y * z,(y * z) \ y) = (x * L(z \ 1,z,y)) / y. [para(158(a,2),484(a,2,1,2))]. given #1295 (H,wt=25): 737 R(x / R(1 / y,y,z),z / (y * z),y * z) = (x * (y * z)) / z. [para(159(a,2),485(a,1,1,2))]. given #1296 (H,wt=25): 738 R(x / (y / (z * y)),R(1 / z,z,y),z * y) = (x * (z * y)) / y. [para(159(a,2),485(a,1,2))]. given #1297 (H,wt=25): 781 (x * y) * (K(y,x) * z) != (y * x) * u | L(z,K(y,x),x * y) = u. [para(95(a,1),436(a,1,1)),flip(a)]. given #1298 (H,wt=25): 788 (x * y) \ (x * R(y,z,z \ 1)) != u | L(a(y,z,z \ 1),y,x) = u. [para(689(a,1),447(a,1,2,2))]. given #1299 (H,wt=25): 845 ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. [para(813(a,1),225(a,1,1))]. given #1300 (H,wt=25): 848 R(x,y,(x * y) \ z) \ z != u * w | u \ (y * ((x * y) \ z)) = w. [para(111(a,2),281(a,1,1))]. given #1301 (H,wt=25): 897 ((x * y) * (y \ z)) / T(x * z,a(x,y,y \ z)) = a(x,y,y \ z). [hyper(74,a,676,a(flip),b,119,a)]. given #1302 (H,wt=25): 898 (x * y) * a(x,z,z \ y) != u * w | ((x * z) * (z \ y)) / w = u. [para(676(a,2),555(a,1))]. given #1303 (H,wt=25): 900 (x / (y * z)) * y != u * w | u \ (x / L(z,y,x / (y * z))) = w. [para(137(a,1),744(a,1))]. given #1304 (H,wt=25): 913 ((x \ 1) * (x * y)) \ (K(x \ 1,x) * y) != z | a(x \ 1,x,y) = z. [para(187(a,2),679(a,1,2,1))]. given #1305 (H,wt=25): 932 (x / y) \ T(x,(x / y) \ 1) = (((x / y) \ 1) \ y) * ((x / y) \ 1). [para(16(a,1),878(a,1,2,1))]. given #1306 (H,wt=25): 954 (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). [para(227(a,1),443(a,1,2,1))]. given #1307 (H,wt=25): 955 (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). [para(227(a,1),444(a,1,2,1))]. given #1308 (H,wt=25): 980 ((((x * y) * z) / (x * y)) * x) * y != u | (x * y) * R(z,x,y) = u. [para(113(a,1),839(a,1))]. given #1309 (H,wt=25): 981 ((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y. [para(840(a,1),113(a,1,1))]. given #1310 (H,wt=25): 1088 ((x / (y * x)) * y) \ (x / (y * x)) = T(1 / y,(x / (y * x)) * y). [hyper(394,a,159,a(flip),b,1087,a),flip(a)]. given #1311 (H,wt=25): 1101 L(x * y,z,u) / ((1 / y) \ 1) = (1 / y) * L((1 / y) \ x,z,u). [para(65(a,1),1052(a,1,1,1,2))]. given #1312 (H,wt=21): 1480 (1 / x) * L((1 / x) \ y,z,u) = L(y * x,z,u) / x. [para(65(a,1),1101(a,1,2)),flip(a)]. given #1313 (H,wt=19): 1481 (1 / x) * L((1 / x) \ 1,y,z) = L(x,y,z) / x. [para(11(a,1),1480(a,2,1,1))]. given #1314 (H,wt=15): 1482 (1 / x) * L(x,y,z) = L(x,y,z) / x. [para(65(a,1),1481(a,1,2,1))]. given #1315 (H,wt=15): 1483 (L(x,y,z) / x) / L(x,y,z) = 1 / x. [hyper(87,a,1482,a)]. given #1316 (H,wt=25): 1115 x * ((x \ y) * L((x \ y) \ z,u,w)) = y * L(y \ (x * z),u,w). [para(450(a,1),721(a,1,2,1)),flip(a)]. given #1317 (H,wt=25): 1116 x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w). [para(726(a,1),433(a,1,2)),flip(a)]. given #1318 (H,wt=21): 1488 x * R(x \ (y * x),z,u) = y * (R(y,z,u) * (y \ x)). [para(621(a,1),1116(a,1,2)),flip(a)]. given #1319 (H,wt=19): 1489 x * R(T(y,x),z,u) = y * (R(y,z,u) * (y \ x)). [para(32(a,2),1488(a,1,2,1))]. given #1320 (H,wt=17): 1490 (R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x. [hyper(624,a,1489,a)]. given #1321 (H,wt=17): 1491 x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u). [hyper(623,a,1489,a)]. given #1322 (H,wt=17): 1492 x * (R(x,y,z) * (x \ u)) = R(x,y,z) * u. [hyper(370,a,1489,a),flip(a)]. given #1323 (H,wt=17): 1497 R(x,y,z) * (x * u) = x * (R(x,y,z) * u). [para(13(a,1),1492(a,1,2,2)),flip(a)]. given #1324 (H,wt=15): 1504 x * (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(72,a,56,a(flip),b,1497,a),flip(a)]. given #1325 (H,wt=17): 1500 R(x,y,z) \ (x * (R(x,y,z) * u)) = x * u. [hyper(80,a,1497,a)]. given #1326 (H,wt=17): 1501 (x * y) / (x * (R(x,z,u) \ y)) = R(x,z,u). [hyper(74,a,88,a(flip),b,1497,a)]. given #1327 (H,wt=17): 1503 R(x,y,z) \ (x * u) = x * (R(x,y,z) \ u). [hyper(72,a,88,a(flip),b,1497,a)]. given #1328 (H,wt=19): 1498 x * (R(x,y,z) * T(u,x)) = R(x,y,z) * (u * x). [para(32(a,2),1492(a,1,2,2))]. given #1329 (H,wt=14): 1512 R(x,y,x) * T(y,x) = T(x * y,x). [hyper(168,a,113,a(flip),b,1498,a),flip(a)]. given #1330 (H,wt=14): 1513 R(x,y,x) \ T(x * y,x) = T(y,x). [hyper(80,a,1512,a)]. given #1331 (H,wt=19): 1502 x * (R(x,y,z) \ T(u,x)) = R(x,y,z) \ (u * x). [hyper(72,a,166,a(flip),b,1497,a),flip(a)]. given #1332 (H,wt=20): 1494 R(x,y,y \ z) * (x \ z) = x \ ((x * y) * (y \ z)). [hyper(72,a,699,a(flip),b,1489,a(flip)),flip(a)]. given #1333 (H,wt=20): 1495 R(x,y,z) * u != x * w | R(x,y,z) * (x \ u) = w. [para(1490(a,1),81(a,1,1)),flip(a),flip(b)]. given #1334 (H,wt=20): 1496 x \ (R(x,y,z) * u) != w | R(x,y,z) * (x \ u) = w. [para(1490(a,1),282(a,1,1)),flip(b)]. given #1335 (H,wt=20): 1505 R(x,y,z) * (x * u) != x * w | R(x,y,z) * u = w. [para(1497(a,2),19(a,1))]. given #1336 (H,wt=20): 1507 R(x,y,(x * y) \ x) \ 1 = x \ (y * ((x * y) \ x)). [hyper(72,a,277,a(flip),b,1504,a),flip(a)]. given #1337 (H,wt=20): 1510 R(x,y,z) \ (x * u) != w | x * (R(x,y,z) \ u) = w. [para(1501(a,1),282(a,1,1)),flip(b)]. given #1338 (H,wt=22): 1506 (R(x,y,z) \ 1) * T(x,R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(222,a,1504,a)]. given #1339 (H,wt=22): 1508 L(R(x,y,z) \ 1,x,1 / x) = (1 / x) * (R(x,y,z) \ x). [para(1504(a,1),430(a,1,2)),flip(a)]. given #1340 (H,wt=25): 1117 (R(x / (y / z),u,w) * (y / z)) * z = R((x * z) / y,u,w) * y. [para(736(a,1),278(a,1,1)),flip(a)]. given #1341 (H,wt=23): 1516 (R(1 / (x / y),z,u) * (x / y)) * y = R(y / x,z,u) * x. [para(11(a,1),1117(a,2,1,1,1))]. given #1342 (H,wt=23): 1517 (R(1 / (x / y),z,u) * (x / y)) * y = x * R(x \ y,z,u). [hyper(236,a,618,a(flip),b,1516,a)]. given #1343 (H,wt=23): 1518 ((x / y) * R((x / y) \ 1,z,u)) * y = x * R(x \ y,z,u). [para(618(a,1),1517(a,1,1))]. given #1344 (H,wt=23): 1519 (x / y) * R((x / y) \ 1,z,u) = (x * R(x \ y,z,u)) / y. [hyper(87,a,1518,a),flip(a)]. given #1345 (H,wt=25): 1120 (x \ y) * (y \ x) != z * (x \ y) | L(1 / (x \ y),x \ y,x) = z. [para(803(a,1),20(a,1))]. given #1346 (H,wt=25): 1121 (((x * (y * z)) / (x * y)) * x) * y = (x * y) * R(L(z,y,x),x,y). [para(103(a,1),812(a,1,1,1,1))]. given #1347 (H,wt=22): 1521 (((x * (y * z)) / (x * y)) * x) * y = x * (y * R(z,x,y)). [hyper(236,a,443,a(flip),b,1121,a)]. given #1348 (H,wt=24): 1522 (((x * (y * z)) / (x * z)) * x) * z = x * (z * R(T(y,z),x,z)). [para(119(a,1),1521(a,1,1,1,1,2))]. given #1349 (H,wt=22): 1523 (((x * (y * z)) / (x * z)) * x) * z = x * (R(y,x,z) * z). [para(182(a,1),1522(a,2,2))]. given #1350 (H,wt=25): 1122 (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). [para(158(a,1),834(a,1,2,1,2))]. given #1351 (H,wt=19): 1524 x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x). [hyper(1301,a,1122,a)]. given #1352 (H,wt=19): 1525 x * (y * ((x * (y \ 1)) / x)) = T(x,x / (x * y)). [hyper(236,a,1296,a(flip),b,1122,a(flip))]. given #1353 (H,wt=20): 1529 T(x,R(1 / y,y,x)) = (x \ T(x,x / (x * y))) * x. [para(1524(a,2),1341(a,1,1)),flip(a)]. given #1354 (H,wt=21): 1527 (x * ((y * (x \ 1)) / y)) / (y \ 1) = T(y,y / (y * x)). [hyper(74,a,1524,a(flip),b,930,a)]. given #1355 (H,wt=25): 1126 (x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z). [para(836(a,1),434(a,1,2)),flip(a)]. given #1356 (H,wt=25): 1198 ((x * (y / (y / T(z,x)))) / x) \ ((y / T(z,x)) * z) = y / T(z,x). [para(163(a,1),918(a,1,2,2))]. given #1357 (H,wt=23): 1532 ((x * (1 / (1 / T(y,x)))) / x) \ (y / T(y,x)) = 1 / T(y,x). [para(1142(a,1),1198(a,1,2))]. given #1358 (H,wt=25): 1223 L(x,y,z) \ x != (L(x,y,z) \ 1) * u | T(x,L(x,y,z) \ 1) = u. [para(1211(a,1),169(a,2)),flip(a)]. given #1359 (H,wt=25): 1229 T((1 / x) * (L(x,y,z) \ x),x) = (1 / x) * ((L(x,y,z) \ 1) * x). [para(1219(a,1),935(a,1,2,1)),flip(a)]. given #1360 (H,wt=25): 1233 L(x \ 1,y,z) \ K(x \ 1,x) = (x \ 1) * (L(x \ 1,y,z) \ x). [para(187(a,2),1210(a,1,2))]. given #1361 (H,wt=25): 1260 T(x / (y \ x),z) \ ((y \ x) \ x) = ((y \ x) \ x) * (T(y,z) \ 1). [para(62(a,1),1259(a,1,2,1,1)),flip(a)]. given #1362 (H,wt=21): 1533 ((x \ y) \ y) * (T(x,z) \ 1) = T(x,z) \ ((x \ y) \ y). [para(62(a,1),1260(a,1,1,1)),flip(a)]. given #1363 (H,wt=25): 1291 ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x) = T(x,R(y,y \ 1,x)). [para(387(a,1),1281(a,2,2)),flip(a)]. given #1364 (H,wt=20): 1534 (((x * y) / x) * (y \ 1)) * x = T(x,R(y,y \ 1,x)). [hyper(845,a,1291,a)]. given #1365 (H,wt=18): 1535 (x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)). [para(1264(a,1),1534(a,1,1))]. given #1366 (H,wt=18): 1536 T(x,R(y,y \ 1,x)) / x = y \ ((x * y) / x). [hyper(87,a,1535,a)]. given #1367 (H,wt=20): 1537 T(x,R(T(y,x),T(y,x) \ 1,x)) = (T(y,x) \ y) * x. [para(163(a,1),1535(a,1,1,2)),flip(a)]. given #1368 (H,wt=25): 1345 ((x * y) * T((x * y) \ x,z)) * y = (x * y) * (y * T(y \ 1,z)). [hyper(236,a,703,a(flip),b,1320,a(flip))]. given #1369 (H,wt=23): 1539 (x * (y * T(y \ 1,z))) * y = (x * y) * (y * T(y \ 1,z)). [para(703(a,1),1345(a,1,1))]. given #1370 (H,wt=25): 1418 x \ (y * (x * T(x \ (y \ z),u))) = T(y * T(y \ (z / x),u),x). [hyper(394,a,xx,b,1414,a),flip(a)]. given #1371 (H,wt=25): 1424 ((x \ (y / (z \ 1))) * x) * (z \ 1) = x * (z \ T(z * (x \ y),x)). [para(877(a,1),1419(a,1,2)),flip(a)]. given #1372 (H,wt=25): 1462 T(1 / (x \ y),(y \ x) * (x \ y)) = ((y \ x) * (x \ y)) \ (y \ x). [hyper(394,a,xx,b,1461,a)]. given #1373 (H,wt=25): 1470 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = (x * ((x \ y) / y)) \ x. [hyper(394,a,xx,b,1469,a)]. given #1374 (H,wt=25): 1479 T(1 / x,(y / (x * y)) * x) != z | L(x \ 1,x,y / (x * y)) = z. [para(1088(a,1),383(a,1))]. given #1375 (H,wt=25): 1486 x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w). [hyper(80,a,1115,a)]. given #1376 (H,wt=23): 1540 (x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)). [para(12(a,1),1486(a,1,2,2,1,2)),flip(a)]. given #1377 (H,wt=25): 1487 x \ (y * R(y \ (x * z),u,w)) = (x \ y) * R((x \ y) \ z,u,w). [hyper(80,a,1116,a)]. given #1378 (H,wt=23): 1542 (x \ y) * R((x \ y) \ 1,z,u) = x \ (y * R(y \ x,z,u)). [para(12(a,1),1487(a,1,2,2,1,2)),flip(a)]. given #1379 (H,wt=25): 1514 T(x,T(1 / x,y)) * T(T(1 / x,y),x) = T(x * T(1 / x,y),x). [para(1475(a,1),1512(a,1,1))]. given #1380 (H,wt=23): 1543 T(x,T(1 / x,y)) * T(x \ 1,y) = T(x * T(1 / x,y),x). [para(183(a,1),1514(a,1,2))]. given #1381 (H,wt=21): 1544 T(x,T(1 / x,y)) * T(x \ 1,y) = x * T(1 / x,y). [hyper(236,a,1362,a(flip),b,1543,a)]. given #1382 (H,wt=25): 1531 (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). [hyper(80,a,1126,a)]. given #1383 (H,wt=21): 1545 (x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x). [para(14(a,1),1531(a,1,2,2,1))]. given #1384 (H,wt=17): 1546 K(x,(x / y) / x) = y * ((x * (y \ 1)) / x). [hyper(423,a,1545,a)]. given #1385 (H,wt=17): 1548 K(x,(x / (y \ 1)) / x) = y \ ((x * y) / x). [hyper(236,a,1269,a(flip),b,1546,a)]. given #1386 (H,wt=17): 1553 x * K(x,(x / y) / x) = T(x,x / (x * y)). [para(1546(a,2),1525(a,1,2))]. given #1387 (H,wt=17): 1554 x * K(y,(y / (x \ 1)) / y) = (y * x) / y. [para(1548(a,2),14(a,1,2))]. given #1388 (H,wt=17): 1557 T(x,x / (x * (y \ x))) = x * K(x,y / x). [para(62(a,1),1553(a,1,2,2,1)),flip(a)]. given #1389 (H,wt=19): 1549 (x \ y) * ((y * ((x \ y) \ 1)) / y) = K(y,x / y). [para(62(a,1),1546(a,1,2,1)),flip(a)]. given #1390 (H,wt=20): 1547 x * ((y * (x \ 1)) / y) != z | K(y,(y / x) / y) = z. [para(1545(a,1),423(a,1))]. given #1391 (H,wt=20): 1558 T(x,R(y,x,(y * x) \ x)) = x * K(x,(y * x) / x). [para(111(a,2),1557(a,1,2))]. given #1392 (H,wt=16): 1559 T(x,R(y,x,(y * x) \ x)) = x * K(x,y). [para(15(a,1),1558(a,2,2,2))]. given #1393 (H,wt=21): 1550 x * ((T(x,y) * (x \ 1)) / T(x,y)) = K(T(x,y),1 / x). [para(1158(a,1),1546(a,1,2)),flip(a)]. given #1394 (H,wt=24): 1552 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = K(L(x,y,z),1 / x). [para(1483(a,1),1546(a,1,2)),flip(a)]. given #1395 (H,wt=24): 1560 T(x,R(y,x,(y * x) \ x)) * (x \ z) = x \ ((x * K(x,y)) * z). [para(1559(a,1),997(a,1,2,1)),flip(a)]. given #1396 (H,wt=19): 1562 x \ ((x * K(x,y)) * z) = (x * K(x,y)) * (x \ z). [para(1559(a,1),1560(a,1,1)),flip(a)]. given #1397 (H,wt=17): 1563 (x * K(x,y)) * (x \ 1) = x \ (x * K(x,y)). [para(12(a,1),1562(a,1,2)),flip(a)]. given #1398 (H,wt=13): 1564 K(x,y) / (x \ 1) = x * K(x,y). [hyper(74,a,13,a(flip),b,1563,a)]. given #1399 (H,wt=25): 1538 T(1 / x,T(x,R(y,y \ 1,x))) = L(x \ 1,x,y \ ((x * y) / x)). [para(1536(a,1),1178(a,1,3)),flip(a)]. given #1400 (H,wt=25): 1561 x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)) = K(T(x,y),1 / x). [para(407(a,2),1550(a,1,2,1))]. given #1401 (H,wt=26): 439 (x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) = L(u,L(z,y,x),x * y). [para(103(a,1),28(a,2,1)),flip(a)]. given #1402 (H,wt=26): 441 ((x * (y * z)) * L(u,z,y)) / (y * (z * u)) = R(x,y * z,L(u,z,y)). [para(103(a,1),30(a,2,2)),flip(a)]. given #1403 (H,wt=26): 460 L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). [para(103(a,1),105(a,2,1))]. given #1404 (H,wt=19): 1566 a(x,y,z) = L(L(z,y,x) \ z,L(z,y,x),x * y). [hyper(236,a,24,a,b,460,a),flip(a)]. given #1405 (H,wt=26): 469 ((x * R(y,z,u)) * (z * u)) / ((y * z) * u) = R(x,R(y,z,u),z * u). [para(113(a,1),30(a,2,2)),flip(a)]. given #1406 (H,wt=26): 480 R(x,R(y,z,u),z * u) * ((y * z) * u) = (x * R(y,z,u)) * (z * u). [para(113(a,1),113(a,1,2))]. given #1407 (H,wt=26): 492 R(x / R(y,z,u),R(y,z,u),z * u) = (x * (z * u)) / ((y * z) * u). [para(113(a,1),114(a,2,2))]. given #1408 (H,wt=26): 639 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,(x \ y) \ y). [para(256(a,2),28(a,2,1)),flip(a)]. given #1409 (H,wt=26): 641 (T(x,x \ y) * z) \ (z * ((x \ y) \ y)) != u | K(z,(x \ y) \ y) = u. [para(256(a,2),285(a,1,1))]. given #1410 (H,wt=26): 655 R(x,y,y \ 1) \ (x * y) != z | L((y \ 1) \ 1,y \ 1,x * y) = z. [para(189(a,1),383(a,1,1))]. given #1411 (H,wt=26): 750 R(x \ 1,x,y) \ ((y / (x * y)) * x) != z | T(x,R(x \ 1,x,y)) = z. [para(635(a,2),284(a,1,2))]. given #1412 (H,wt=26): 786 (x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w. [para(103(a,1),447(a,1,2,2))]. given #1413 (H,wt=26): 832 ((x * y) * z) \ (x * (y * u)) != w | L(z \ L(u,y,x),z,x * y) = w. [para(103(a,1),784(a,1,2))]. given #1414 (H,wt=26): 846 ((x \ y) * (T(x,x \ y) * z)) \ (y * z) = a(x \ y,(x \ y) \ y,z). [para(120(a,2),92(a,1,1,2,1))]. given #1415 (H,wt=26): 847 a(x \ y,T(x,x \ y),z) = ((x \ y) * (((x \ y) \ y) * z)) \ (y * z). [para(120(a,2),92(a,2,2)),flip(a)]. given #1416 (H,wt=21): 1567 a(x \ y,T(x,x \ y),z) = a(x \ y,(x \ y) \ y,z). [hyper(236,a,92,a(flip),b,847,a)]. given #1417 (H,wt=26): 853 (x * y) * L((x * y) \ x,z,u) != w | x * (y * L(y \ 1,z,u)) = w. [para(352(a,1),219(a,1,2))]. given #1418 (H,wt=26): 862 (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. [para(456(a,2),219(a,1,2))]. given #1419 (H,wt=26): 870 R(x,T(y,x),T(z,y * x)) \ (z * (y * x)) = T(y,x) * T(z,y * x). [para(119(a,1),496(a,1,2))]. given #1420 (H,wt=26): 871 (x * y) * T((x * y) \ z,u) != w | x * (y * T(y \ (x \ z),u)) = w. [para(509(a,1),219(a,1,2))]. given #1421 (H,wt=26): 914 R((x * (y / z)) / x,z,z \ 1) / (z \ 1) = z * ((x * (z \ y)) / x). [hyper(236,a,395,a,b,825,a(flip)),flip(a)]. given #1422 (H,wt=23): 1568 ((x * (y * (z \ 1))) / x) / (z \ 1) = z * ((x * (z \ y)) / x). [para(844(a,1),914(a,1,1))]. given #1423 (H,wt=26): 923 T(x,y) * (x * y) != T(x,y) * z | T(T(x,x * y) * y,T(x,y)) = z. [para(867(a,1),169(a,2)),flip(a)]. given #1424 (H,wt=26): 938 (1 / x) * (x * T(x \ y,z)) != u * w | T((1 / x) * y,z) / w = u. [para(882(a,1),529(a,1,2))]. given #1425 (H,wt=26): 948 (x \ 1) * T((x \ 1) \ (x \ y),z) != u * w | (x \ T(y,z)) / w = u. [para(940(a,1),529(a,1,2))]. given #1426 (H,wt=26): 994 T((x * y) / (z * y),u) * (z * y) != w | (T(x / z,u) * z) * y = w. [para(114(a,1),774(a,1,1,1))]. given #1427 (H,wt=26): 1021 (x * (T(x,y) \ z)) * u != x * z | T(T(x,y),x * (T(x,y) \ z)) = u. [para(1002(a,1),169(a,2))]. given #1428 (H,wt=26): 1108 (x \ (y \ x)) * x != (y \ x) * z | T(y * T(y \ 1,x),y \ x) = z. [para(1104(a,2),169(a,2)),flip(a)]. given #1429 (H,wt=26): 1135 ((((x * y) / x) \ z) \ z) * x != x * u | T(y,((x * y) / x) \ z) = u. [para(664(a,2),19(a,1))]. given #1430 (H,wt=26): 1204 (L(x,y,z) * (x \ u)) \ (L(x,y,z) * u) = T(x,L(x,y,z) * (x \ u)). [hyper(874,a,1203,a),flip(a)]. given #1431 (H,wt=26): 1212 ((x * y) * L(x,z,u)) \ (x * (L(x,z,u) * y)) = K(L(x,z,u),x * y). [hyper(72,a,1203,a(flip),b,95,a)]. given #1432 (H,wt=26): 1275 T(T(R(x,y,y \ 1),x * y) / (y \ 1),(x * y) * (y \ 1)) = x * y. [para(189(a,1),1273(a,1,1,1,1))]. given #1433 (H,wt=25): 1570 T(T(R(x,y,y \ 1),x * y) / (y \ 1),R(x,y,y \ 1)) = x * y. [para(189(a,1),1275(a,1,2))]. given #1434 (H,wt=25): 1571 T(R(T(x,x * y),y,y \ 1) / (y \ 1),R(x,y,y \ 1)) = x * y. [para(42(a,2),1570(a,1,1,1))]. given #1435 (H,wt=18): 1572 T(T(x,x * y) * y,R(x,y,y \ 1)) = x * y. [para(395(a,1),1571(a,1,1))]. given #1436 (H,wt=22): 1573 T(T(T(x,x * y) * y,z),R(x,y,y \ 1)) = T(x * y,z). [para(1572(a,1),38(a,1,1)),flip(a)]. given #1437 (H,wt=18): 1574 T(x * y,R(x,y,y \ 1)) = T(x * y,T(x,y)). [para(922(a,1),1573(a,1,1))]. given #1438 (H,wt=22): 1575 T((x / y) * y,T(x / y,y)) = T(x,R(x / y,y,y \ 1)). [para(16(a,1),1574(a,1,1)),flip(a)]. given #1439 (H,wt=19): 1576 T((x / y) * y,T(x / y,y)) = T(x,x * (y \ 1)). [para(482(a,1),1575(a,2,2))]. given #1440 (H,wt=15): 1577 T(x,T(x / y,y)) = T(x,x * (y \ 1)). [para(16(a,1),1576(a,1,1))]. given #1441 (H,wt=13): 1578 T(x,x * (y \ 1)) = T(x,y \ x). [para(121(a,1),1577(a,1,2)),flip(a)]. given #1442 (H,wt=13): 1579 T(x,(1 / y) \ x) = T(x,x * y). [para(65(a,1),1578(a,1,2,2)),flip(a)]. given #1443 (H,wt=26): 1342 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,R(1 / T(x,y),T(x,y),x)). [para(1004(a,1),1341(a,1,1,2,1))]. given #1444 (H,wt=25): 1580 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,(1 * x) / (x * T(x,y))). [para(488(a,1),1342(a,2,2))]. given #1445 (H,wt=23): 1581 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,x / (x * T(x,y))). [para(11(a,1),1580(a,2,2,1))]. given #1446 (H,wt=26): 1380 (x \ 1) * (x \ T(x,y)) != (x \ 1) * z | T(x \ T(x,y),x \ 1) = z. [para(1374(a,1),169(a,2)),flip(a)]. given #1447 (H,wt=26): 1389 (x * ((x \ 1) * R(x,y,z))) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(1072(a,1),1388(a,1,1,2,1))]. given #1448 (H,wt=25): 1582 L(R(x,y,z),x \ 1,x) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(188(a,1),1389(a,1,1))]. given #1449 (H,wt=26): 1439 (x \ 1) * L(y,K(x \ 1,x),1 / x) = (1 / x) * (K(x \ 1,x) * y). [para(1434(a,1),103(a,1,1))]. given #1450 (H,wt=26): 1441 x / L(K(y \ 1,y),1 / y,x / (y \ 1)) = (x / (y \ 1)) * (1 / y). [para(1437(a,1),459(a,1,2,1))]. given #1451 (H,wt=26): 1493 (R(x,y,z) * (x \ u)) \ (R(x,y,z) * u) = T(x,R(x,y,z) * (x \ u)). [hyper(394,a,182,a(flip),b,1489,a(flip)),flip(a)]. given #1452 (H,wt=26): 1511 (x / y) * (R(x / y,y,y \ 1) \ z) = (x * (y \ 1)) \ ((x / y) * z). [para(482(a,1),1503(a,1,1)),flip(a)]. given #1453 (H,wt=23): 1583 (x * (y \ 1)) \ ((x / y) * z) = (x / y) * ((x * (y \ 1)) \ z). [para(482(a,1),1511(a,1,2,1)),flip(a)]. given #1454 (H,wt=26): 1528 x \ T(x,x / (x * y)) != z * u | (y * ((x * (y \ 1)) / x)) / u = z. [para(1524(a,2),555(a,1))]. given #1455 (H,wt=27): 455 (x * (y * (z * u))) \ (x * ((y * z) * u)) = L(a(y,z,u),y * (z * u),x). [para(24(a,2),105(a,1,1)),flip(a)]. given #1456 (H,wt=27): 727 L(L(x,y,z),z * y,u / (z * y)) = u \ ((u / (z * y)) * (z * (y * x))). [para(28(a,2),453(a,1,1))]. given #1457 (H,wt=27): 751 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) != z | K(x,y / (x * y)) = z. [para(635(a,1),285(a,1,1))]. given #1458 (H,wt=27): 792 (x * y) * K(z \ y,z) != u * ((z \ y) * z) | R(x,y,K(z \ y,z)) = u. [para(249(a,1),467(a,2,2))]. given #1459 (H,wt=27): 960 L(R(x,y,z),u,w) * (y * z) != v5 * v6 | v5 \ ((L(x,u,w) * y) * z) = v6. [para(471(a,2),545(a,1))]. given #1460 (H,wt=27): 988 R(x,y \ 1,y) * K(y \ 1,y) != z * u | z \ ((x * (y \ 1)) * y) = u. [para(187(a,2),552(a,1,2))]. given #1461 (H,wt=27): 1077 T((R(x,y,z) * (1 / x)) / R(x,y,z),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1071(a,1),670(a,2,1))]. given #1462 (H,wt=27): 1123 (x * y) * ((z * ((x * y) \ (x * u))) / z) = x * (y * ((z * (y \ u)) / z)). [para(105(a,1),834(a,1,2,1,2))]. given #1463 (H,wt=27): 1124 (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). [para(227(a,1),834(a,1,2,1,2))]. given #1464 (H,wt=27): 1129 (x * y) * T((x * y) \ (y * z),u) = y * (T(x,y) * T(T(x,y) \ z,u)). [para(861(a,1),445(a,1,2))]. given #1465 (H,wt=21): 1584 T(x,y) * T(T(x,y) \ y,z) = T(x * T(x \ y,z),y). [hyper(168,a,1320,a(flip),b,1129,a(flip)),flip(a)]. given #1466 (H,wt=26): 1585 (x * y) * T((x * y) \ (y * x),x) = y * L(x,T(x,y) \ x,T(x,y)). [para(1026(a,1),1129(a,2,2))]. given #1467 (H,wt=22): 1586 x * L(y,T(y,x) \ y,T(y,x)) = (y * x) * T(K(x,y),y). [para(26(a,2),1585(a,1,2,1)),flip(a)]. given #1468 (H,wt=27): 1253 K((x * (y \ z)) \ x,x * (y \ z)) = y \ (z * T(z \ y,x * (y \ z))). [para(15(a,1),1250(a,1,1,2))]. given #1469 (H,wt=27): 1255 (x * y) * K(((x * y) \ x) \ 1,(x * y) \ x) = x * T(y,(x * y) \ x). [para(13(a,1),1247(a,1,2,1)),flip(a)]. given #1470 (H,wt=27): 1292 (x \ y) \ K(T(y,x) \ ((y * x) / y),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(1284(a,1),1039(a,1,2,1,2))]. given #1471 (H,wt=25): 1587 (x \ y) \ K(T(x / y,T(y,x)),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(1168(a,1),1292(a,1,2,1))]. given #1472 (H,wt=25): 1588 (x \ y) * T((x \ y) \ 1,T(y,x)) = K(T(x / y,T(y,x)),T(y,x)). [para(1587(a,1),14(a,1,2))]. given #1473 (H,wt=23): 1589 K(T(x / y,T(y,x)),T(y,x)) = x \ (y * T(y \ x,T(y,x))). [hyper(236,a,1246,a(flip),b,1588,a(flip))]. given #1474 (H,wt=27): 1408 K((x * (y / z)) \ x,x * (y / z)) = (y * T(y \ z,x * (y / z))) / z. [para(15(a,1),1406(a,1,1,2))]. given #1475 (H,wt=27): 1411 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,x / (y * x)) * x. [hyper(236,a,403,a(flip),b,1410,a)]. given #1476 (H,wt=27): 1412 T((1 / x) * ((1 / x) \ (y * x)),z) / x = (1 / x) * T((1 / x) \ y,z). [hyper(74,a,881,a(flip),b,1344,a(flip))]. given #1477 (H,wt=17): 1591 (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. [para(55(a,1),1412(a,1,1,1)),flip(a)]. given #1478 (H,wt=13): 1594 T(1 / x,T(x,y) / x) = 1 / x. [para(1591(a,1),1365(a,1,2))]. given #1479 (H,wt=15): 1592 K(x \ (x / (1 / y)),x) = T(y,x) / y. [hyper(1041,a,1591,a)]. given #1480 (H,wt=15): 1596 T(x,y) = K(y \ (y / (1 / x)),y) * x. [para(1592(a,2),16(a,1,1)),flip(a)]. given #1481 (H,wt=17): 1593 T(1 / (1 / x),y) * (1 / x) = T(x,y) / x. [hyper(409,a,1591,a)]. given #1482 (H,wt=16): 1600 T(x,y) / x != z | (1 / x) * T(x,y) = z. [para(1593(a,1),896(a,1))]. given #1483 (H,wt=19): 1590 (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. [para(14(a,1),1412(a,1,1,1)),flip(a)]. given #1484 (H,wt=19): 1601 T(x * y,1 / y) / y = ((1 / y) \ x) * (1 / y). [hyper(220,a,1590,a),flip(a)]. given #1485 (H,wt=19): 1603 T(((1 / x) * y) * x,z) / x = (1 / x) * T(y,z). [para(13(a,1),1590(a,1,2,1)),flip(a)]. given #1486 (H,wt=19): 1605 (1 / x) * T((1 / x) \ (y / x),z) = T(y,z) / x. [para(16(a,1),1590(a,2,1,1))]. given #1487 (H,wt=19): 1608 ((1 / x) \ (y / x)) * (1 / x) = T(y,1 / x) / x. [para(16(a,1),1601(a,1,1,1)),flip(a)]. given #1488 (H,wt=19): 1609 T(x * ((1 / x) * y),x) = x * ((1 / x) * T(y,x)). [para(1603(a,1),1354(a,1,2)),flip(a)]. given #1489 (H,wt=19): 1610 (1 / x) \ (T(y,z) / x) = T((1 / x) \ (y / x),z). [hyper(80,a,1605,a)]. given #1490 (H,wt=17): 1616 (1 / T(x,y)) \ (T(x,z) / T(x,y)) = T(x,z). [para(1155(a,1),1610(a,2,1))]. given #1491 (H,wt=17): 1617 (T(x,y) / T(x,z)) / T(x,y) = 1 / T(x,z). [para(1616(a,1),62(a,1,2))]. given #1492 (H,wt=19): 1613 T(x,1 / T(x,y)) / T(x,y) = x * (1 / T(x,y)). [para(1155(a,1),1608(a,1,1)),flip(a)]. given #1493 (H,wt=20): 1599 T(x,y) / x != z | (1 / x) * T((1 / x) \ 1,y) = z. [para(1593(a,1),667(a,1))]. given #1494 (H,wt=21): 1595 T((x * (1 / y)) / x,T(y,z) / y) = (x * (1 / y)) / x. [para(1594(a,1),412(a,1,1,2)),flip(a)]. given #1495 (H,wt=21): 1598 K(T(1 / (1 / x),x \ 1),x \ 1) = T(x,x \ 1) / x. [para(1189(a,1),1592(a,1,1))]. given #1496 (H,wt=21): 1602 T(x * y,z) / y = x * K(z \ (z / (x \ (1 / y))),z). [hyper(236,a,1248,a(flip),b,1590,a(flip))]. given #1497 (H,wt=21): 1619 (1 / T(x,y)) * T(T(x,z),u) = T(T(x,z),u) / T(x,y). [para(1616(a,1),1605(a,1,2,1))]. given #1498 (H,wt=21): 1620 T(x,y) \ (T(x,y) / T(x,z)) = T(1 / T(x,z),T(x,y)). [para(1617(a,1),121(a,1,1)),flip(a)]. given #1499 (H,wt=21): 1623 T(T(x,y),z) / T(x,x \ 1) = (x \ 1) * T(T(x,y),z). [para(197(a,1),1619(a,1,1)),flip(a)]. given #1500 (H,wt=22): 1606 T(x * y,1 / y) / y != z | ((1 / y) \ x) * (1 / y) = z. [para(1590(a,1),220(a,1))]. given #1501 (H,wt=22): 1615 (1 / x) * T((1 / x) \ (y / x),z) != u | T(y,z) / x = u. [para(1610(a,1),216(a,1,2)),flip(b)]. given #1502 (H,wt=23): 1611 (x / y) * K(z \ (z / ((x / y) \ (1 / y))),z) = T(x,z) / y. [hyper(236,a,1248,a(flip),b,1605,a(flip)),flip(a)]. given #1503 (H,wt=23): 1612 K(1 / x,(1 / x) \ (y / x)) = (T(y,1 / x) / x) \ (y / x). [para(1608(a,1),97(a,1,1)),flip(a)]. given #1504 (H,wt=25): 1607 ((x \ (y / (1 / z))) * x) * (1 / z) = x * (T((x \ y) * z,x) / z). [para(1590(a,1),1419(a,1,2)),flip(a)]. given #1505 (H,wt=26): 1597 K(x \ (x / (1 / (y / (x * y)))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(630(a,1),1592(a,2,1))]. given #1506 (H,wt=27): 1413 x * ((y \ z) * T((y \ z) \ (x \ z),u)) = (x * T(x \ y,u)) * (y \ z). [para(14(a,1),1344(a,1,2,2,1,2,2))]. given #1507 (H,wt=27): 1421 (x \ 1) * (y * T(y \ ((x \ 1) \ z),u)) = (x \ T(x * (z / y),u)) * y. [para(877(a,1),1414(a,1,1)),flip(a)]. given #1508 (H,wt=25): 1625 (x \ T(x * (y / z),z)) * z = (x \ 1) * ((z \ ((x \ 1) \ y)) * z). [hyper(535,a,1421,a),flip(a)]. given #1509 (H,wt=25): 1627 T((x \ (x * (y / x))) * x,x) = (x \ 1) * ((x \ ((x \ 1) \ y)) * x). [hyper(236,a,1352,a,b,1625,a(flip)),flip(a)]. given #1510 (H,wt=17): 1628 T(x,y) = (y \ 1) * ((y \ ((y \ 1) \ x)) * y). [para(66(a,1),1627(a,1,1))]. given #1511 (H,wt=17): 1629 (x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x). [para(13(a,1),1628(a,2,2,1,2)),flip(a)]. given #1512 (H,wt=17): 1630 T((x \ 1) * (x * y),x) = (x \ 1) * (y * x). [para(13(a,1),1629(a,1,2,1)),flip(a)]. given #1513 (H,wt=19): 1634 ((x \ 1) * (x * y)) * x = x * ((x \ 1) * (y * x)). [para(1630(a,1),119(a,1,2)),flip(a)]. given #1514 (H,wt=18): 1635 L(x * y,y \ 1,y) / y = (y \ 1) * (y * x). [hyper(74,a,188,a(flip),b,1634,a)]. given #1515 (H,wt=18): 1636 (x \ 1) * (x * (y / x)) = L(y,x \ 1,x) / x. [para(16(a,1),1635(a,1,1,1)),flip(a)]. given #1516 (H,wt=20): 1633 T((x \ 1) * (x * y),x) != (x \ 1) * z | y * x = z. [para(1630(a,2),19(a,1))]. given #1517 (H,wt=23): 1631 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * (K(y \ x,y) * x). [para(96(a,1),1629(a,1,2,1)),flip(a)]. given #1518 (H,wt=24): 1632 ((x \ 1) * y) \ T((x \ 1) * y,x) = L(K(x \ y,x),y,x \ 1). [para(1629(a,1),420(a,1,2))]. given #1519 (H,wt=27): 1454 x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z). [para(838(a,1),433(a,1,2)),flip(a)]. given #1520 (H,wt=23): 1639 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ (x * 1))) / y). [para(1546(a,2),1454(a,1,2))]. given #1521 (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 #1522 (H,wt=25): 1638 x * ((x \ y) * ((z * ((x \ y) \ 1)) / z)) = y * ((z * (y \ x)) / z). [para(12(a,1),1454(a,2,2,1,2,2))]. given #1523 (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 #1524 (H,wt=25): 1642 (x \ y) * ((z * ((x \ y) \ 1)) / z) = x \ (y * ((z * (y \ x)) / z)). [hyper(80,a,1638,a),flip(a)]. given #1525 (H,wt=27): 1484 L(L(x,y,z) \ u,L(x,y,z),1 / x) = (L(x,y,z) / x) \ ((1 / x) * u). [para(1482(a,1),105(a,2,1))]. given #1526 (H,wt=27): 1515 x \ ((x * (x \ y)) * ((x \ y) \ z)) = ((y * ((x \ y) \ z)) / z) * (x \ z). [para(684(a,1),1494(a,1,1)),flip(a)]. given #1527 (H,wt=23): 1643 ((x * ((y \ x) \ z)) / z) * (y \ z) = y \ (x * ((y \ x) \ z)). [para(14(a,1),1515(a,1,2,1)),flip(a)]. given #1528 (H,wt=27): 1551 ((x * y) / x) * ((y * (((x * y) / x) \ 1)) / y) = K(y,1 / ((x * y) / x)). [para(1325(a,1),1546(a,1,2)),flip(a)]. given #1529 (H,wt=25): 1645 ((x * y) / x) * ((((x * y) / x) \ y) / y) = K(y,1 / ((x * y) / x)). [para(1268(a,1),1551(a,1,2,1))]. given #1530 (H,wt=27): 1555 K(x,(x / ((T(x,y) \ 1) \ 1)) / x) = (T(x,y) \ 1) \ ((T(x,y) \ x) / x). [para(1004(a,1),1548(a,2,2,1))]. given #1531 (H,wt=27): 1621 T(x,y) * ((T(x,z) * (T(x,y) \ 1)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(1617(a,1),1546(a,1,2)),flip(a)]. given #1532 (H,wt=25): 1646 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(1027(a,1),1621(a,1,2,1))]. given #1533 (H,wt=27): 1624 K(T(1 / T(x,y),T(x,z)),T(x,z)) / T(x,y) = T(1 / T(x,y),T(x,z)). [para(1620(a,1),1044(a,1,1,1))]. given #1534 (H,wt=27): 1626 (x \ T(x * (y / y),z)) * y = (x \ 1) * ((x \ T(x,z)) * ((x \ 1) \ y)). [para(1099(a,2),1421(a,1,2)),flip(a)]. given #1535 (H,wt=25): 1647 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x * 1,y)) * z. [para(59(a,1),1626(a,1,1,2,1,2)),flip(a)]. given #1536 (H,wt=23): 1648 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x,y)) * z. [para(12(a,1),1647(a,2,1,2,1))]. given #1537 (H,wt=21): 1650 (x \ T(x,y)) * ((x \ 1) \ ((x \ T(x,y)) \ (x \ 1))) = 1. [hyper(71,a,14,a(flip),b,1648,a),flip(a)]. given #1538 (H,wt=27): 1637 x \ (y * ((z * (y \ (x * u))) / z)) = (x \ y) * ((z * ((x \ y) \ u)) / z). [hyper(80,a,1454,a)]. given #1539 (H,wt=27): 1651 (x \ y) * ((z * ((x \ y) \ (x \ u))) / z) = x \ (y * ((z * (y \ u)) / z)). [para(14(a,1),1637(a,1,2,2,1,2,2)),flip(a)]. given #1540 (H,wt=28): 683 (x * ((x \ y) * z)) * K(L(z,x \ y,x),y) = (y \ (x * ((x \ y) * z))) * y. [para(104(a,1),249(a,1,2,1))]. given #1541 (H,wt=28): 802 L(R(x / y,y,z),u,w) * (y * z) = (y * z) * L((y * z) \ (x * z),u,w). [para(114(a,2),610(a,1,1,1))]. given #1542 (H,wt=25): 1652 (x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y. [hyper(775,a,802,a),flip(a)]. given #1543 (H,wt=21): 1653 (L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u). [para(13(a,1),1652(a,1,2,1)),flip(a)]. given #1544 (H,wt=17): 1655 (x * L(y,z,u)) * y = (x * y) * L(y,z,u). [para(611(a,1),1653(a,1,1))]. given #1545 (H,wt=15): 1658 (1 / L(x,y,z)) * x = x / L(x,y,z). [hyper(373,a,1655,a),flip(a)]. given #1546 (H,wt=17): 1656 ((x / L(y,z,u)) * y) \ (x * y) = L(y,z,u). [hyper(568,a,1655,a)]. given #1547 (H,wt=17): 1657 (x * y) / L(y,z,u) = (x / L(y,z,u)) * y. [hyper(559,a,1655,a)]. given #1548 (H,wt=17): 1659 (x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y. [hyper(80,a,1655,a)]. given #1549 (H,wt=17): 1660 (x * L(y,z,u)) / y = (x / y) * L(y,z,u). [hyper(74,a,89,a(flip),b,1655,a)]. given #1550 (H,wt=17): 1661 ((x / y) * L(y,z,u)) \ (x * L(y,z,u)) = y. [hyper(72,a,89,a(flip),b,1655,a)]. given #1551 (H,wt=17): 1665 T(1 / L(x,y,z),x) = x \ (x / L(x,y,z)). [hyper(394,a,xx,b,1658,a)]. given #1552 (H,wt=18): 1667 L(x,y,z) = ((z * y) * x) \ ((z * (y * x)) * x). [para(137(a,1),1656(a,1,1,1)),flip(a)]. given #1553 (H,wt=18): 1668 (1 / L(x,y,z)) * x != u | x / L(x,y,z) = u. [para(1657(a,1),301(a,1))]. given #1554 (H,wt=18): 1670 R(T(x,y * L(x,z,u)),y,L(x,z,u)) = T(x,y). [para(1659(a,1),984(a,1,1)),flip(a)]. given #1555 (H,wt=18): 1671 ((x * y) / z) * L(z,y,x) = (x * (y * z)) / z. [para(103(a,1),1660(a,1,1)),flip(a)]. given #1556 (H,wt=18): 1675 L(x,y,z) = ((z * y) / x) \ ((z * (y * x)) / x). [hyper(80,a,1671,a),flip(a)]. given #1557 (H,wt=19): 1674 (x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u). [para(1670(a,1),614(a,1,2))]. given #1558 (H,wt=20): 1662 (x * y) * L(y,z,u) != w * y | x * L(y,z,u) = w. [para(1655(a,1),20(a,1))]. given #1559 (H,wt=20): 1666 (x * y) / L(y,z,u) != w | (x / L(y,z,u)) * y = w. [para(1656(a,1),294(a,1,2)),flip(b)]. given #1560 (H,wt=20): 1672 (x * L(y,z,u)) / y != w | (x / y) * L(y,z,u) = w. [para(1661(a,1),294(a,1,2)),flip(b)]. given #1561 (H,wt=18): 1677 L(x,y,z) / x != u | (1 / x) * L(x,y,z) = u. [para(11(a,1),1672(a,1,1))]. given #1562 (H,wt=22): 1669 (1 / L(x,y,z)) * x != u * w | u \ (x / L(x,y,z)) = w. [para(1657(a,1),583(a,1))]. given #1563 (H,wt=22): 1673 T(x \ (x / L(x,y,z)),L(x,y,z)) = T(L(x,y,z) \ 1,x). [para(1665(a,1),183(a,1,1))]. given #1564 (H,wt=24): 1664 (x * L(y,z,u)) * y != w * v5 | ((x * y) * L(y,z,u)) / v5 = w. [para(1655(a,2),555(a,1))]. given #1565 (H,wt=25): 1654 (x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y. [para(610(a,1),1652(a,2,1))]. given #1566 (H,wt=23): 1680 x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). [hyper(168,a,1654,a(flip),b,955,a(flip)),flip(a)]. given #1567 (H,wt=21): 1683 T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u). [para(32(a,2),1680(a,1,2,1,2)),flip(a)]. given #1568 (H,wt=19): 1685 T(x * L(x \ 1,y,z),x) = x * L(x \ 1,y,z). [para(147(a,1),1683(a,2,2,1,2))]. given #1569 (H,wt=12): 1686 T(x,x * L(x \ 1,y,z)) = x. [hyper(35,a,1685,a)]. given #1570 (H,wt=11): 1688 T(x,x * ((y * x) \ y)) = x. [para(158(a,1),1686(a,1,2,2))]. given #1571 (H,wt=12): 1687 K(x,x * L(x \ 1,y,z)) = 1. [hyper(36,a,1686,a)]. given #1572 (H,wt=14): 1690 T(x \ 1,x \ L(x,y,z)) = x \ 1. [para(1051(a,1),1686(a,1,2))]. given #1573 (H,wt=14): 1691 T(1 / x,L(x,y,z) / x) = 1 / x. [para(1481(a,1),1686(a,1,2))]. given #1574 (H,wt=15): 1689 T(x \ y,(x \ y) * (y \ x)) = x \ y. [para(347(a,1),1686(a,1,2,2))]. given #1575 (H,wt=16): 1693 T(x \ 1,L(x,y,z) * (x \ 1)) = x \ 1. [para(1207(a,2),1690(a,1,2))]. given #1576 (H,wt=20): 1697 R(x \ 1,L(x,y,z),x \ 1) = T(x \ 1,L(x,y,z)). [para(1693(a,1),760(a,1,1))]. given #1577 (H,wt=21): 1684 x \ T(x * L(x \ y,z,u),x) = L(x \ T(y,x),z,u). [hyper(72,a,1683,a,b,xx)]. given #1578 (H,wt=21): 1692 T(T(x,y),T(x,y) * ((T(x,y) / x) \ (1 / x))) = T(x,y). [para(1150(a,1),1688(a,1,2,2,1))]. given #1579 (H,wt=21): 1698 L(x \ T(x * y,x),z,u) = x \ T(x * L(y,z,u),x). [para(13(a,1),1684(a,1,2,1,2,1)),flip(a)]. given #1580 (H,wt=22): 1694 T((x * (1 / y)) / x,L(y,z,u) / y) = (x * (1 / y)) / x. [para(1691(a,1),412(a,1,1,2)),flip(a)]. given #1581 (H,wt=22): 1695 L(x \ y,y \ x,x \ y) * (y \ x) = (y \ x) * (x \ y). [para(1689(a,1),598(a,1,2)),flip(a)]. given #1582 (H,wt=21): 1700 L(x \ y,y \ x,x \ y) = L(1 / (y \ x),y \ x,y). [hyper(18,a,803,a,b,1695,a)]. given #1583 (H,wt=23): 1681 (x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. [para(11(a,1),1654(a,1,2,1,2))]. given #1584 (H,wt=22): 1702 T(x * L(x \ 1,T(x,y),y),y) = T(x,y) * ((x * y) \ y). [hyper(168,a,1681,a(flip),b,445,a(flip))]. given #1585 (H,wt=23): 1701 x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y. [hyper(236,a,955,a(flip),b,1681,a(flip)),flip(a)]. given #1586 (H,wt=25): 1679 x * (y * L(y \ (x \ (z * y)),u,w)) = (x * L(x \ z,u,w)) * y. [hyper(236,a,955,a(flip),b,1654,a(flip)),flip(a)]. given #1587 (H,wt=26): 1676 (x * (y * z)) / z != L(z,y,x) * u | T((x * y) / z,L(z,y,x)) = u. [para(1671(a,1),169(a,2)),flip(a)]. given #1588 (H,wt=27): 1678 ((x * y) * L((x * y) \ x,z,u)) * y = (x * y) * (y * L(y \ 1,z,u)). [hyper(853,a,1654,a),flip(a)]. given #1589 (H,wt=25): 1705 (x * (y * L(y \ 1,z,u))) * y = (x * y) * (y * L(y \ 1,z,u)). [para(852(a,1),1678(a,1,1))]. given #1590 (H,wt=24): 1707 (x * y) * (y * L(y \ 1,y,1 / y)) = (x * (y * (1 / y))) * y. [para(380(a,1),1705(a,1,1,2,2)),flip(a)]. given #1591 (H,wt=19): 1708 (x * (y * (1 / y))) * y = (x * y) * (y * (1 / y)). [para(380(a,1),1707(a,1,2,2)),flip(a)]. given #1592 (H,wt=25): 1706 (x * (y * L(y \ 1,z,u))) / y = (x / y) * (y * L(y \ 1,z,u)). [hyper(74,a,89,a(flip),b,1705,a)]. given #1593 (H,wt=27): 1696 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = y \ (x * (x \ y)). [para(1689(a,1),1253(a,2,2,2))]. given #1594 (H,wt=21): 1709 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = 1. [hyper(236,a,211,a(flip),b,1696,a)]. given #1595 (H,wt=19): 1711 T(1 / (x \ y),(y \ x) * (x \ y)) = 1 / (x \ y). [para(1709(a,1),1048(a,1,1)),flip(a)]. given #1596 (H,wt=17): 1712 ((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x). [hyper(236,a,1462,a(flip),b,1711,a(flip)),flip(a)]. given #1597 (H,wt=18): 1713 L((x \ y) \ 1,x \ y,y \ x) = 1 / (x \ y). [hyper(383,a,1712,a)]. given #1598 (H,wt=21): 1714 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / (x \ (x * y)). [para(13(a,1),1712(a,1,1,2))]. given #1599 (H,wt=17): 1717 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / y. [para(13(a,1),1714(a,2,2))]. given #1600 (H,wt=14): 1718 L(x \ 1,x,(y * x) \ y) = 1 / x. [hyper(383,a,1717,a)]. given #1601 (H,wt=12): 1721 L(x \ 1,x,x \ 1) = 1 / x. [para(11(a,1),1718(a,1,3,1))]. given #1602 (H,wt=13): 1723 (x \ 1) / (1 / x) = (x \ 1) * x. [para(1721(a,1),353(a,1,2))]. given #1603 (H,wt=11): 1726 T(1 / (1 / x),x \ 1) = x. [hyper(1192,a,1723,a)]. given #1604 (H,wt=13): 1727 (x \ 1) / (1 / x) = K(x \ 1,x). [hyper(236,a,187,a,b,1723,a)]. given #1605 (H,wt=13): 1730 T(1 / (1 / (1 / x)),x) = 1 / x. [para(65(a,1),1726(a,1,2))]. given #1606 (H,wt=13): 1731 T(x,x \ 1) / x = K(x,x \ 1). [para(1726(a,1),1598(a,1,1)),flip(a)]. given #1607 (H,wt=13): 1732 x \ (1 / (1 / x)) = K(x \ 1,x). [hyper(236,a,1190,a(flip),b,1727,a(flip)),flip(a)]. given #1608 (H,wt=13): 1733 K(x \ 1,x) * (1 / x) = x \ 1. [para(1727(a,1),16(a,1,1))]. given #1609 (H,wt=13): 1735 K(x,x \ 1) * x = T(x,x \ 1). [para(1731(a,1),16(a,1,1))]. given #1610 (H,wt=13): 1737 ((x \ 1) \ 1) / x = K(x,x \ 1). [para(120(a,1),1731(a,1,1))]. given #1611 (H,wt=13): 1738 x * K(x \ 1,x) = 1 / (1 / x). [para(1732(a,1),14(a,1,2))]. given #1612 (H,wt=12): 1748 L(x,x \ 1,x) = 1 / (1 / x). [hyper(789,a,1738,a)]. given #1613 (H,wt=13): 1742 T(1 / x,K(x \ 1,x)) = 1 / x. [hyper(1438,a,1733,a)]. given #1614 (H,wt=13): 1745 K(x,x \ 1) * x = (x \ 1) \ 1. [hyper(236,a,120,a(flip),b,1735,a)]. given #1615 (H,wt=15): 1729 T(T(1 / (1 / x),y),x \ 1) = T(x,y). [para(1726(a,1),38(a,1,1)),flip(a)]. given #1616 (H,wt=11): 1755 T(x,1 / x) = T(x,x \ 1). [para(186(a,1),1729(a,1,1)),flip(a)]. given #1617 (H,wt=11): 1756 T(x,1 / x) = (x \ 1) \ 1. [hyper(236,a,120,a(flip),b,1755,a)]. given #1618 (H,wt=12): 1757 R(x,1 / x,x) = T(x,x \ 1). [hyper(236,a,764,a,b,1755,a(flip)),flip(a)]. given #1619 (H,wt=13): 1761 T(x \ 1,x) = ((x \ 1) \ 1) \ 1. [para(62(a,1),1756(a,1,2))]. given #1620 (H,wt=13): 1762 ((x \ 1) \ 1) / x = K(x,1 / x). [para(1756(a,1),767(a,1,1))]. given #1621 (H,wt=11): 1767 K(x,1 / x) = K(x,x \ 1). [hyper(236,a,1737,a(flip),b,1762,a(flip))]. given #1622 (H,wt=11): 1770 K(x,x \ 1) = x * (1 / x). [hyper(236,a,248,a(flip),b,1767,a(flip))]. given #1623 (H,wt=11): 1771 x \ K(x,x \ 1) = 1 / x. [hyper(72,a,1767,a(flip),b,248,a(flip))]. given #1624 (H,wt=13): 1765 T(x,x \ 1) \ 1 = T(x \ 1,x). [hyper(236,a,637,a,b,1761,a),flip(a)]. given #1625 (H,wt=13): 1773 K(x \ 1,x) \ 1 = x * (1 / x). [hyper(236,a,401,a,b,1770,a(flip)),flip(a)]. given #1626 (H,wt=13): 1775 K(x,x \ 1) \ 1 = K(1 / x,x). [para(1770(a,2),99(a,1,1))]. given #1627 (H,wt=14): 1764 x \ T(x,x \ 1) = a(x,1 / x,x). [para(1757(a,1),693(a,1,2))]. given #1628 (H,wt=14): 1774 K(x,x \ 1) != x * y | 1 / x = y. [para(1770(a,2),19(a,1))]. given #1629 (H,wt=14): 1783 x * (1 / x) != y | K(x,x \ 1) = y. [para(1771(a,1),216(a,1,2)),flip(b)]. given #1630 (H,wt=14): 1784 K(x,1 / x) != y | K(x,x \ 1) = y. [para(248(a,2),1783(a,1))]. given #1631 (H,wt=15): 1734 (1 / (1 / (1 / x))) * x = x * (1 / x). [para(1730(a,1),119(a,1,2)),flip(a)]. given #1632 (H,wt=13): 1786 x / (1 / (1 / x)) = x * (1 / x). [hyper(236,a,1196,a(flip),b,1734,a(flip)),flip(a)]. given #1633 (H,wt=13): 1787 x / (1 / (1 / x)) = K(x,x \ 1). [hyper(236,a,1770,a,b,1786,a)]. given #1634 (H,wt=13): 1788 K(x,x \ 1) * (1 / (1 / x)) = x. [para(1787(a,1),16(a,1,1))]. given #1635 (H,wt=13): 1789 K(x,x \ 1) \ x = 1 / (1 / x). [para(1787(a,1),65(a,1,1))]. given #1636 (H,wt=13): 1792 K(x,1 / x) * (1 / (1 / x)) = x. [para(1767(a,2),1788(a,1,1))]. given #1637 (H,wt=12): 1793 L(x,1 / x,x) = 1 / (1 / x). [hyper(952,a,1792,a)]. given #1638 (H,wt=15): 1766 T(x \ 1,T(x,x \ 1)) = T(x \ 1,x). [hyper(236,a,262,a,b,1761,a),flip(a)]. given #1639 (H,wt=15): 1769 K((x / y) \ x,1 / y) = K(y,y \ 1). [hyper(236,a,661,a,b,1767,a(flip)),flip(a)]. given #1640 (H,wt=15): 1772 K(x \ 1,(x \ 1) \ 1) = K(x \ 1,x). [para(62(a,1),1767(a,1,2)),flip(a)]. given #1641 (H,wt=16): 1728 (x \ 1) / (1 / x) != y | K(x \ 1,x) = y. [para(1723(a,2),314(a,1))]. given #1642 (H,wt=16): 1736 K(x,x \ 1) * x != y | T(x,x \ 1) = y. [para(1731(a,1),221(a,1,1)),flip(b)]. given #1643 (H,wt=16): 1739 x * K(x \ 1,x) != y | 1 / (1 / x) = y. [para(1732(a,1),216(a,1,2)),flip(b)]. given #1644 (H,wt=16): 1750 1 / (1 / x) != x * y | K(x \ 1,x) = y. [para(1738(a,1),19(a,1))]. given #1645 (H,wt=16): 1752 1 / (1 / x) != y | x * K(x \ 1,x) = y. [para(1748(a,1),796(a,1))]. given #1646 (H,wt=16): 1754 ((x \ 1) \ 1) / x != y | K(x,x \ 1) = y. [para(1745(a,1),296(a,1,1)),flip(b)]. given #1647 (H,wt=16): 1790 K(x,x \ 1) * (1 / (1 / x)) != y | y = x. [para(1787(a,1),221(a,1,1))]. given #1648 (H,wt=16): 1794 L(T(x,y),1 / x,x) = T(1 / (1 / x),y). [para(1793(a,1),40(a,2,1))]. given #1649 (H,wt=12): 1795 L(T(x,x \ 1),1 / x,x) = x. [hyper(236,a,1726,a(flip),b,1794,a)]. given #1650 (H,wt=17): 1719 (((x * y) \ x) * y) * (1 / y) = (x * y) \ x. [para(1717(a,1),14(a,1,2))]. given #1651 (H,wt=17): 1720 ((x * y) \ x) / (1 / y) = ((x * y) \ x) * y. [para(1717(a,1),62(a,1,2))]. given #1652 (H,wt=17): 1768 K(1 / x,1 / (1 / x)) = (x \ 1) / (1 / x). [para(65(a,1),1762(a,1,1,1)),flip(a)]. given #1653 (H,wt=15): 1799 K(1 / x,1 / (1 / x)) = K(x \ 1,x). [hyper(236,a,1727,a(flip),b,1768,a)]. given #1654 (H,wt=15): 1800 K(1 / x,(1 / x) \ 1) = K(x \ 1,x). [hyper(1784,a,1799,a)]. given #1655 (H,wt=11): 1801 K(1 / x,x) = K(x \ 1,x). [para(65(a,1),1800(a,1,2))]. given #1656 (H,wt=13): 1803 K(x,x \ 1) \ 1 = K(x \ 1,x). [hyper(236,a,1775,a,b,1801,a(flip)),flip(a)]. given #1657 (H,wt=13): 1805 x * K(1 / x,x) = 1 / (1 / x). [para(1801(a,2),1738(a,1,2))]. given #1658 (H,wt=15): 1802 K(1 / (1 / x),1 / x) = K(x,x \ 1). [hyper(236,a,1769,a(flip),b,1801,a)]. given #1659 (H,wt=15): 1804 K((x \ 1) \ 1,x \ 1) = K(x,x \ 1). [para(62(a,1),1801(a,1,1)),flip(a)]. given #1660 (H,wt=18): 1722 L(L(x \ 1,y,z),x,x \ 1) = L(1 / x,y,z). [para(1721(a,1),45(a,1,1)),flip(a)]. given #1661 (H,wt=18): 1751 L(R(x,y,z),x \ 1,x) = R(1 / (1 / x),y,z). [para(1748(a,1),44(a,1,1)),flip(a)]. given #1662 (H,wt=18): 1758 L(T(x,x \ 1),1 / x,x) = T(x,x * (1 / x)). [para(1755(a,1),595(a,1,1))]. given #1663 (H,wt=18): 1760 R(R(x,y,z),1 / x,x) = R(T(x,x \ 1),y,z). [para(1755(a,1),766(a,2,1))]. given #1664 (H,wt=18): 1785 K((x / y) \ x,1 / y) != z | K(y,y \ 1) = z. [para(661(a,2),1784(a,1))]. given #1665 (H,wt=18): 1797 (x * y) \ x = (L(y \ 1,y,x) * y) * (1 / y). [para(158(a,2),1719(a,1,1,1)),flip(a)]. given #1666 (H,wt=18): 1809 L(T(x,x \ 1),1 / x,x) = T(x,K(x,1 / x)). [para(248(a,2),1758(a,2,2))]. given #1667 (H,wt=9): 1812 T(x,K(x,1 / x)) = x. [hyper(236,a,1795,a(flip),b,1809,a(flip))]. given #1668 (H,wt=9): 1814 T(x,K(x,x \ 1)) = x. [para(1767(a,1),1812(a,1,2))]. given #1669 (H,wt=13): 1813 T(K(x,1 / x),x) = K(x,1 / x). [hyper(35,a,1812,a)]. given #1670 (H,wt=12): 1816 a(x,1 / x,x) = K(x,1 / x). [hyper(236,a,754,a(flip),b,1813,a(flip)),flip(a)]. given #1671 (H,wt=13): 1817 x \ T(x,x \ 1) = K(x,1 / x). [hyper(236,a,1764,a,b,1816,a(flip)),flip(a)]. given #1672 (H,wt=13): 1818 x \ T(x,x \ 1) = K(x,x \ 1). [hyper(236,a,1767,a(flip),b,1817,a)]. given #1673 (H,wt=13): 1820 x \ ((x \ 1) \ 1) = K(x,x \ 1). [hyper(658,a,1818,a)]. given #1674 (H,wt=13): 1821 x * K(x,x \ 1) = T(x,x \ 1). [para(1818(a,1),14(a,1,2))]. given #1675 (H,wt=13): 1822 x * K(x,x \ 1) = (x \ 1) \ 1. [para(1818(a,1),258(a,2,2)),flip(a)]. given #1676 (H,wt=13): 1823 x \ (x \ ((x \ 1) \ 1)) = 1 / x. [hyper(72,a,1820,a,b,1770,a(flip))]. given #1677 (H,wt=16): 1819 x \ T(x,x \ 1) != y | K(x,x \ 1) = y. [para(1817(a,2),1784(a,1))]. given #1678 (H,wt=19): 1759 (x * T(y,y \ 1)) / x = T((x * y) / x,1 / y). [para(1755(a,1),412(a,1,1,2))]. given #1679 (H,wt=19): 1763 L((x \ 1) \ 1,y,z) / x = L(x,y,z) * (1 / x). [para(1756(a,1),965(a,1,1,1))]. given #1680 (H,wt=19): 1782 (x * K(y,y \ 1)) * y = (x * y) * (y * (1 / y)). [para(1770(a,2),1708(a,1,1,2))]. given #1681 (H,wt=19): 1811 L(x \ 1,x,y) / (1 / x) = L(x \ 1,x,y) * x. [hyper(570,a,1797,a)]. given #1682 (H,wt=19): 1826 T((x * y) / x,1 / y) = T((x * y) / x,y \ 1). [hyper(415,a,1759,a),flip(a)]. given #1683 (H,wt=19): 1829 (x * K(y,y \ 1)) * y = (x * y) * K(y,y \ 1). [para(1770(a,2),1782(a,2,2))]. given #1684 (H,wt=13): 1833 (x \ 1) * K(x,x \ 1) = 1 / x. [hyper(74,a,247,a(flip),b,1829,a),flip(a)]. given #1685 (H,wt=13): 1835 K(x,x \ 1) * (x \ 1) = 1 / x. [hyper(1385,a,1833,a)]. given #1686 (H,wt=13): 1836 (x \ 1) * K(x,1 / x) = 1 / x. [para(1767(a,2),1833(a,1,2))]. given #1687 (H,wt=13): 1838 (1 / x) / K(x,1 / x) = x \ 1. [hyper(87,a,1836,a)]. given #1688 (H,wt=12): 1839 R(1 / x,x,1 / x) = x \ 1. [hyper(657,a,1838,a)]. given #1689 (H,wt=17): 1840 R(x / (y * x),y,1 / y) = R(y \ 1,y,x). [para(1839(a,1),357(a,1,1)),flip(a)]. given #1690 (H,wt=19): 1832 (x * K(y,y \ 1)) \ ((x * y) * K(y,y \ 1)) = y. [hyper(80,a,1829,a)]. given #1691 (H,wt=19): 1834 (x * K(y,y \ 1)) / y = (x / y) * K(y,y \ 1). [hyper(74,a,89,a(flip),b,1829,a)]. given #1692 (H,wt=20): 1740 x * K(x \ 1,x) != y * z | y \ (1 / (1 / x)) = z. [para(1732(a,1),367(a,1,2))]. given #1693 (H,wt=20): 1842 R(T(x,y * K(x,x \ 1)),y,K(x,x \ 1)) = T(x,y). [para(1832(a,1),984(a,1,1)),flip(a)]. given #1694 (H,wt=21): 1749 x * (T(x,y) \ K(x \ 1,x)) = T(x,y) \ (1 / (1 / x)). [hyper(72,a,1738,a(flip),b,1002,a),flip(a)]. given #1695 (H,wt=21): 1779 L(x,y,z) * K(x,x \ 1) = x * (L(x,y,z) * (1 / x)). [para(1770(a,2),1203(a,1,2))]. given #1696 (H,wt=21): 1780 L(x,y,z) \ K(x,x \ 1) = x * (L(x,y,z) \ (1 / x)). [para(1770(a,2),1210(a,1,2))]. given #1697 (H,wt=21): 1796 K(x,1 / x) \ (x * (T(x,y) / x)) = T(1 / (1 / x),y). [hyper(236,a,1162,a,b,1794,a(flip)),flip(a)]. given #1698 (H,wt=21): 1815 L(x,y,z) * K(x,x \ 1) = K(x,x \ 1) * L(x,y,z). [para(1814(a,1),181(a,1,2,1)),flip(a)]. given #1699 (H,wt=21): 1828 T(L(x,y,z) * (1 / x),x) = x \ L((x \ 1) \ 1,y,z). [para(1763(a,1),121(a,1,1))]. given #1700 (H,wt=21): 1830 T((x * T(y,x)) / x,T(y,x) \ 1) = T(y,1 / T(y,x)). [para(163(a,1),1826(a,1,1)),flip(a)]. given #1701 (H,wt=15): 1846 T(x,1 / T(x,y)) = T(x,T(x,y) \ 1). [para(163(a,1),1830(a,1,1)),flip(a)]. given #1702 (H,wt=19): 1847 T(x,T(x,y) \ 1) / T(x,y) = x * (1 / T(x,y)). [para(1846(a,1),1613(a,1,1))]. given #1703 (H,wt=21): 1831 T((x / y) * K(y,y \ 1),y) = y \ (x * K(y,y \ 1)). [hyper(394,a,89,a(flip),b,1829,a)]. given #1704 (H,wt=21): 1844 K(x,1 / x) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(1796(a,1),14(a,1,2))]. given #1705 (H,wt=21): 1845 K(x,x \ 1) * L(x,y,z) = x * (L(x,y,z) * (1 / x)). [hyper(236,a,1779,a(flip),b,1815,a(flip))]. given #1706 (H,wt=21): 1849 K(x,x \ 1) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(1767(a,1),1844(a,1,1))]. given #1707 (H,wt=22): 1715 L(((x * y) \ x) \ 1,(x * y) \ x,y) = 1 / ((x * y) \ x). [para(13(a,1),1713(a,1,3))]. given #1708 (H,wt=17): 1851 (x * ((y * x) \ y)) \ x = 1 / ((y * x) \ y). [hyper(710,a,1715,a)]. given #1709 (H,wt=22): 1724 x * L(x \ (y \ x),y,y \ 1) = (y * (1 / y)) * (y \ x). [para(1721(a,1),1343(a,1,1,2)),flip(a)]. given #1710 (H,wt=22): 1725 x * (y * L(y \ (x \ y),x,x \ 1)) = (x * (1 / x)) * y. [para(1721(a,1),1701(a,2,1,2))]. given #1711 (H,wt=22): 1777 T(x,y) \ K(x,x \ 1) != z | x * (T(x,y) \ (1 / x)) = z. [para(1770(a,2),1020(a,1,2))]. given #1712 (H,wt=22): 1852 x * L(x \ (y \ x),y,y \ 1) = K(y,y \ 1) * (y \ x). [para(1770(a,2),1724(a,2,1))]. given #1713 (H,wt=19): 1853 x * (K(x,x \ 1) * (x \ y)) = (x * (1 / x)) * y. [para(1852(a,1),1725(a,1,2))]. given #1714 (H,wt=19): 1855 x * (K(x,x \ 1) * (x \ y)) = K(x,x \ 1) * y. [para(1770(a,2),1853(a,2,1))]. given #1715 (H,wt=19): 1857 K(x,x \ 1) * (x * y) = x * (K(x,x \ 1) * y). [para(13(a,1),1855(a,1,2,2)),flip(a)]. given #1716 (H,wt=20): 1854 K(x,x \ 1) * (x \ L(y,1 / x,x)) = (1 / x) * y. [hyper(17,a,103,a(flip),b,1853,a)]. given #1717 (H,wt=21): 1856 K(x,x \ 1) * (x \ L(x,y,z)) = L(x,y,z) * (1 / x). [hyper(17,a,1845,a(flip),b,1855,a)]. given #1718 (H,wt=22): 1858 K(x,x \ 1) * y != x * z | K(x,x \ 1) * (x \ y) = z. [para(1855(a,1),19(a,1))]. given #1719 (H,wt=23): 1776 (x * y) * (1 / y) != z * K(y,y \ 1) | R(x,y,1 / y) = z. [para(1770(a,2),467(a,2,2))]. given #1720 (H,wt=23): 1810 R(x,y,z) \ R(T(x,x \ 1),y,z) = a(R(x,y,z),1 / x,x). [para(1760(a,1),693(a,1,2))]. given #1721 (H,wt=23): 1827 L(1 / x,y,z) * (1 / (1 / x)) = L(x \ 1,y,z) / (1 / x). [para(65(a,1),1763(a,1,1,1,1)),flip(a)]. given #1722 (H,wt=23): 1837 x * R(x \ K(x,x \ 1),y,z) = R(1 / x,y,z) / (x \ 1). [para(1835(a,1),1102(a,1,1,1)),flip(a)]. given #1723 (H,wt=19): 1863 R(1 / x,y,z) / (x \ 1) = x * R(1 / x,y,z). [para(1771(a,1),1837(a,1,2,1)),flip(a)]. given #1724 (H,wt=23): 1848 ((x * (1 / T(x,y))) / x) * T(x,y) = T(x,T(x,y) \ 1) / x. [para(1847(a,1),1149(a,1,1,1))]. given #1725 (H,wt=23): 1850 K(x,x \ 1) * T(K(x,x \ 1) \ x,y) = x * (T(x,y) / x). [para(1789(a,2),1849(a,1,2,1))]. given #1726 (H,wt=23): 1861 K(x,x \ 1) * y != (1 / x) * z | x \ L(z,1 / x,x) = y. [para(1854(a,1),19(a,1)),flip(a)]. given #1727 (H,wt=23): 1865 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x,T(x,y) \ 1) / x. [hyper(916,a,1848,a)]. given #1728 (H,wt=21): 1867 T(x,y) * ((T(x,y) \ x) / x) = T(x,T(x,y) \ 1) / x. [para(1004(a,1),1865(a,1,2,1))]. given #1729 (H,wt=21): 1868 x * (T(x,T(x,y) \ 1) / x) = T(x,x / (x * T(x,y))). [para(1865(a,1),1525(a,1,2))]. given #1730 (H,wt=21): 1869 (T(x,T(x,y) \ 1) / x) * x = T(x,x / (x * T(x,y))). [para(1867(a,1),1581(a,1,1))]. given #1731 (H,wt=17): 1870 T(x,x / (x * T(x,y))) = T(x,T(x,y) \ 1). [hyper(232,a,1869,a),flip(a)]. given #1732 (H,wt=19): 1872 x * (T(x,T(x,y) \ 1) / x) = T(x,T(x,y) \ 1). [hyper(236,a,1868,a,b,1870,a(flip)),flip(a)]. given #1733 (H,wt=21): 1873 x * (T(x,y) * ((T(x,y) \ x) / x)) = T(x,T(x,y) \ 1). [para(1867(a,2),1872(a,1,2))]. given #1734 (H,wt=24): 1716 x \ (y * L(y \ x,x \ y,y \ x)) = (x \ y) * (1 / (x \ y)). [para(1713(a,1),1540(a,1,2)),flip(a)]. given #1735 (H,wt=24): 1741 x * (T(x,y) \ K(x \ 1,x)) != z | T(x,y) \ (1 / (1 / x)) = z. [para(1732(a,1),1023(a,1,2,2))]. given #1736 (H,wt=24): 1746 T(x,x \ 1) * L(y,x,K(x,x \ 1)) = K(x,x \ 1) * (x * y). [para(1735(a,1),103(a,1,1))]. given #1737 (H,wt=24): 1781 L(x,y,z) * K(x,x \ 1) != x * u | L(x,y,z) * (1 / x) = u. [para(1770(a,2),1213(a,1,2))]. given #1738 (H,wt=24): 1808 R(1 / (1 / x),y,z) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(1751(a,1),1582(a,1,1))]. given #1739 (H,wt=24): 1841 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = x * (1 / x). [para(1840(a,1),143(a,1,1))]. given #1740 (H,wt=24): 1843 T((x / y) * K(y,y \ 1),y) != z | y \ (x * K(y,y \ 1)) = z. [para(1834(a,1),280(a,1,1))]. given #1741 (H,wt=24): 1864 (x / y) * R(1 / (x / y),x / y,y) = (y / x) / ((x / y) \ 1). [para(355(a,1),1863(a,1,1)),flip(a)]. given #1742 (H,wt=17): 1877 (x / y) / ((y / x) \ 1) = (y / x) * (x / y). [para(355(a,1),1864(a,1,2)),flip(a)]. given #1743 (H,wt=17): 1878 ((x / y) * (y / x)) * ((x / y) \ 1) = y / x. [para(1877(a,1),16(a,1,1))]. given #1744 (H,wt=20): 1881 ((x / y) * (y / x)) * ((x / y) \ 1) != z | y / x = z. [para(1877(a,1),221(a,1,1)),flip(b)]. given #1745 (H,wt=21): 1879 ((x \ y) / y) * (y / (x \ y)) = x / (((x \ y) / y) \ 1). [para(62(a,1),1877(a,1,1)),flip(a)]. given #1746 (H,wt=17): 1882 x / (((x \ y) / y) \ 1) = ((x \ y) / y) * x. [hyper(536,a,1879,a),flip(a)]. given #1747 (H,wt=21): 1880 (x / (y \ x)) * ((y \ x) / x) = ((y \ x) / x) / (y \ 1). [para(62(a,1),1877(a,1,2,1)),flip(a)]. given #1748 (H,wt=17): 1884 ((x \ y) / y) / (x \ 1) = x * ((x \ y) / y). [hyper(290,a,1880,a),flip(a)]. given #1749 (H,wt=17): 1886 (x * ((x \ y) / y)) * (x \ 1) = (x \ y) / y. [para(1884(a,1),16(a,1,1))]. given #1750 (H,wt=20): 1887 (x * ((x \ y) / y)) * (x \ 1) = R(1 / x,x,x \ y). [hyper(236,a,354,a,b,1886,a)]. given #1751 (H,wt=24): 1874 x \ (y * L(y \ x,x \ y,y \ x)) = K(x \ y,(x \ y) \ 1). [hyper(236,a,1770,a,b,1716,a)]. given #1752 (H,wt=24): 1875 T(x,x \ 1) * L(y,x,K(x,x \ 1)) = x * (K(x,x \ 1) * y). [hyper(236,a,1857,a(flip),b,1746,a)]. given #1753 (H,wt=24): 1876 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = K(x,x \ 1). [hyper(236,a,1770,a,b,1841,a)]. given #1754 (H,wt=24): 1888 x * L(x \ y,y \ x,x \ y) = y * K(y \ x,(y \ x) \ 1). [para(1874(a,1),14(a,1,2)),flip(a)]. given #1755 (H,wt=25): 1807 K(x \ 1,x) * L(1 / x,y,z) = (x \ 1) * (x * L(x \ 1,y,z)). [para(1722(a,1),446(a,1,2))]. given #1756 (H,wt=26): 1743 (x \ 1) * L(y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((1 / x) * y). [para(1733(a,1),103(a,1,1))]. given #1757 (H,wt=23): 1889 L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1) = (1 / x) * y. [hyper(986,a,1743,a(flip))]. given #1758 (H,wt=27): 1704 x * ((x * y) * L((x * y) \ y,z,u)) = (x * L(x \ 1,z,u)) * (x * y). [para(13(a,1),1701(a,1,2,2,1,2))]. given #1759 (H,wt=25): 1890 (x * L(x \ 1,y,z)) * (x * u) = x * ((x * L(x \ 1,y,z)) * u). [para(1681(a,1),1704(a,1,2)),flip(a)]. given #1760 (H,wt=27): 1747 T(x,x \ 1) * y != K(x,x \ 1) * (x * z) | L(z,x,K(x,x \ 1)) = y. [para(1735(a,1),436(a,1,1))]. given #1761 (H,wt=27): 1806 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K((x \ 1) \ 1,x \ 1) * y. [para(1804(a,1),1429(a,1,2,1))]. given #1762 (H,wt=23): 1892 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K(x,x \ 1) * y. [para(1804(a,1),1806(a,2,1))]. given #1763 (H,wt=23): 1893 (x \ 1) \ (K(x,x \ 1) * y) = K(x,x \ 1) * ((x \ 1) \ y). [hyper(80,a,1892,a)]. given #1764 (H,wt=27): 1824 T(x,x \ 1) * y != x * (K(x,x \ 1) * z) | L(z,K(x,x \ 1),x) = y. [para(1821(a,1),436(a,1,1))]. given #1765 (H,wt=17): 1894 L(x,K(y,y \ 1),y) = L(x,y,K(y,y \ 1)). [hyper(1824,a,1875,a)]. given #1766 (H,wt=25): 1895 L(x,1 / y,K(1 / y,(1 / y) \ 1)) = L(x,K(y \ 1,y),1 / y). [para(1800(a,1),1894(a,1,2)),flip(a)]. given #1767 (H,wt=27): 1825 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) != z | R(x,K(x,x \ 1),y) = z. [para(1821(a,1),475(a,1,1,1))]. given #1768 (H,wt=27): 1859 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,(x \ 1) \ 1) * y. [para(1772(a,1),1855(a,1,2,1))]. given #1769 (H,wt=23): 1896 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,x) * y. [para(1772(a,1),1859(a,2,1))]. given #1770 (H,wt=23): 1897 (x \ 1) \ (K(x \ 1,x) * y) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(80,a,1896,a)]. given #1771 (H,wt=27): 1860 (1 / x) * (K(x \ 1,x) * ((1 / x) \ y)) = K(1 / x,(1 / x) \ 1) * y. [para(1800(a,1),1855(a,1,2,1))]. given #1772 (H,wt=27): 1866 (x * (T(x,y) / x)) * (K(x,x \ 1) \ 1) = T(x * (K(x,x \ 1) \ 1),y). [para(1850(a,1),945(a,1,1))]. given #1773 (H,wt=25): 1899 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * (K(x,x \ 1) \ 1),y). [para(1803(a,1),1866(a,1,2))]. given #1774 (H,wt=23): 1900 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * K(x \ 1,x),y). [para(1803(a,1),1899(a,2,1,2))]. given #1775 (H,wt=21): 1901 (x * (T(x,y) / x)) * K(x \ 1,x) = T(1 / (1 / x),y). [para(1738(a,1),1900(a,2,1))]. given #1776 (H,wt=24): 1902 T(1 / (1 / x),y) != z * K(x \ 1,x) | x * (T(x,y) / x) = z. [para(1901(a,1),20(a,1))]. given #1777 (H,wt=28): 809 R(R(x / y,y,z),u,w) * (y * z) = (y * z) * R((y * z) \ (x * z),u,w). [para(114(a,2),618(a,1,1,1))]. given #1778 (H,wt=25): 1903 (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. [hyper(776,a,809,a),flip(a)]. given #1779 (H,wt=25): 1904 (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. [para(618(a,1),1903(a,2,1))]. given #1780 (H,wt=21): 1910 (x * R(x \ (x * y),z,u)) * y = (x * y) * R(y,z,u). [para(13(a,1),1904(a,1,2,1)),flip(a)]. given #1781 (H,wt=17): 1913 (x * R(y,z,u)) * y = (x * y) * R(y,z,u). [para(13(a,1),1910(a,1,1,2,1))]. given #1782 (H,wt=15): 1914 (1 / R(x,y,z)) * x = x / R(x,y,z). [hyper(373,a,1913,a),flip(a)]. given #1783 (H,wt=15): 1916 ((1 / x) * R(x,y,z)) * x = R(x,y,z). [hyper(236,a,63,a(flip),b,1913,a)]. given #1784 (H,wt=15): 1919 (1 / x) * R(x,y,z) = R(x,y,z) / x. [hyper(74,a,63,a(flip),b,1913,a),flip(a)]. given #1785 (H,wt=15): 1922 (x / R(x,y,z)) / x = 1 / R(x,y,z). [hyper(87,a,1914,a)]. given #1786 (H,wt=17): 1915 ((x / R(y,z,u)) * y) * R(y,z,u) = x * y. [hyper(303,a,1913,a),flip(a)]. given #1787 (H,wt=17): 1917 (x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y. [hyper(80,a,1913,a)]. given #1788 (H,wt=17): 1918 (x * R(y,z,u)) / y = (x / y) * R(y,z,u). [hyper(74,a,89,a(flip),b,1913,a)]. given #1789 (H,wt=17): 1920 ((x / y) * R(y,z,u)) \ (x * R(y,z,u)) = y. [hyper(72,a,89,a(flip),b,1913,a)]. given #1790 (H,wt=18): 1927 (1 / R(x,y,z)) * x != u | x / R(x,y,z) = u. [para(1922(a,1),221(a,1,1)),flip(b)]. given #1791 (H,wt=18): 1929 R(T(x,y * R(x,z,u)),y,R(x,z,u)) = T(x,y). [para(1917(a,1),984(a,1,1)),flip(a)]. given #1792 (H,wt=18): 1930 (1 / x) * R(x,y,z) != u | R(x,y,z) / x = u. [para(1918(a,1),301(a,1))]. given #1793 (H,wt=19): 1924 R(1 / (1 / x),y,z) * (1 / x) = R(x,y,z) / x. [hyper(236,a,622,a,b,1919,a(flip)),flip(a)]. given #1794 (H,wt=19): 1932 (x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u). [para(1929(a,1),614(a,1,2))]. given #1795 (H,wt=19): 1933 (1 / x) * R((1 / x) \ 1,y,z) = R(x,y,z) / x. [hyper(824,a,1924,a)]. given #1796 (H,wt=19): 1934 R(x,y,z) / T(x,x \ 1) = (x \ 1) * R(x,y,z). [hyper(74,a,54,a(flip),b,1932,a)]. given #1797 (H,wt=19): 1937 R(x,y,z) / ((x \ 1) \ 1) = (x \ 1) * R(x,y,z). [hyper(674,a,1934,a)]. given #1798 (H,wt=20): 1923 R(x,y,z) \ (R(x,y,z) / x) = T(1 / x,R(x,y,z)). [hyper(394,a,xx,b,1919,a),flip(a)]. given #1799 (H,wt=20): 1928 (x * y) / R(y,z,u) != w | (x / R(y,z,u)) * y = w. [para(1915(a,1),296(a,1,1)),flip(b)]. given #1800 (H,wt=20): 1936 (x * y) * R(x,y,T(x,y)) = T(x * y,x) * T(x,y). [para(1277(a,1),1932(a,1,1)),flip(a)]. given #1801 (H,wt=23): 1907 x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x). [hyper(168,a,1904,a(flip),b,954,a(flip)),flip(a)]. given #1802 (H,wt=21): 1939 T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u). [para(32(a,2),1907(a,1,2,1,2)),flip(a)]. given #1803 (H,wt=19): 1942 T(x * R(x \ 1,y,z),x) = x * R(x \ 1,y,z). [para(147(a,1),1939(a,2,2,1,2))]. given #1804 (H,wt=12): 1943 T(x,x * R(x \ 1,y,z)) = x. [hyper(35,a,1942,a)]. given #1805 (H,wt=11): 1946 T(x,(y / (x * y)) * x) = x. [para(635(a,2),1943(a,1,2))]. given #1806 (H,wt=14): 1948 T(x \ 1,x \ R(x,y,z)) = x \ 1. [para(1070(a,1),1943(a,1,2))]. given #1807 (H,wt=15): 1949 T(x / y,(y / x) * (x / y)) = x / y. [para(749(a,1),1943(a,1,2))]. given #1808 (H,wt=16): 1945 T(1 / x,(1 / x) * R(x,y,z)) = 1 / x. [para(65(a,1),1943(a,1,2,2,1))]. given #1809 (H,wt=16): 1947 T(x \ 1,R(x,y,z) * (x \ 1)) = x \ 1. [para(621(a,1),1943(a,1,2))]. given #1810 (H,wt=18): 1951 T(T(x \ 1,y),x \ R(x,z,u)) = T(x \ 1,y). [para(1948(a,1),38(a,1,1)),flip(a)]. given #1811 (H,wt=19): 1952 T(x / (y * x),y * (x / (y * x))) = x / (y * x). [para(15(a,1),1949(a,1,2,1))]. given #1812 (H,wt=20): 1954 R(x \ 1,R(x,y,z),x \ 1) = T(x \ 1,R(x,y,z)). [para(1947(a,1),760(a,1,1))]. given #1813 (H,wt=20): 1955 R(x / (y * x),y,x / (y * x)) = T(x / (y * x),y). [para(1952(a,1),760(a,1,1))]. given #1814 (H,wt=19): 1956 R(x / (y * x),y,x / (y * x)) = R(y \ 1,y,x). [hyper(236,a,630,a(flip),b,1955,a)]. given #1815 (H,wt=21): 1940 T(x * R(x \ y,z,u),x) / x = R(T(y,x) / x,z,u). [hyper(74,a,1939,a,b,618,a)]. given #1816 (H,wt=21): 1941 x \ T(x * R(x \ y,z,u),x) = R(x \ T(y,x),z,u). [hyper(72,a,1939,a,b,xx)]. given #1817 (H,wt=21): 1958 R(T(x * y,x) / x,z,u) = T(x * R(y,z,u),x) / x. [para(13(a,1),1940(a,1,1,1,2,1)),flip(a)]. given #1818 (H,wt=23): 1909 (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. [para(11(a,1),1904(a,1,2,1,2))]. given #1819 (H,wt=23): 1925 R(x,y,z) / x != R(x,y,z) * u | T(1 / x,R(x,y,z)) = u. [para(1919(a,1),169(a,2)),flip(a)]. given #1820 (H,wt=23): 1961 x * (y * R(y \ (x \ y),z,u)) = (x * R(x \ 1,z,u)) * y. [hyper(236,a,954,a(flip),b,1909,a(flip)),flip(a)]. given #1821 (H,wt=24): 1921 (x * R(y,z,u)) * y != w * v5 | ((x * y) * R(y,z,u)) / v5 = w. [para(1913(a,2),555(a,1))]. given #1822 (H,wt=24): 1959 x * R(x \ T(y,x),z,u) != w | T(x * R(x \ y,z,u),x) = w. [para(1941(a,1),216(a,1,2)),flip(b)]. given #1823 (H,wt=25): 1905 x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y. [hyper(236,a,954,a(flip),b,1904,a(flip)),flip(a)]. given #1824 (H,wt=25): 1931 R(x,y,R(x,z,u)) * (y * R(x,z,u)) = (y * R(x,z,u)) * T(x,y). [para(1929(a,1),182(a,1,2)),flip(a)]. given #1825 (H,wt=25): 1950 T(x,y / (x * y)) * T(y / (x * y),x) = T(x * (y / (x * y)),x). [para(1946(a,1),1132(a,1,1,1)),flip(a)]. given #1826 (H,wt=24): 1965 T(x,y / (x * y)) * R(x \ 1,x,y) = T(x * (y / (x * y)),x). [para(630(a,1),1950(a,1,2))]. given #1827 (H,wt=25): 1953 (R(x,y,z) * (1 / x)) / R(x,y,z) = L(1 / x,R(x,y,z),1 / x). [para(1945(a,1),599(a,1,1,2))]. given #1828 (H,wt=25): 1966 T(L(1 / x,R(x,y,z),1 / x),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1953(a,1),1077(a,1,1))]. given #1829 (H,wt=23): 1967 L(x \ 1,R(x,y,z),1 / x) = (x \ R(x,y,z)) / R(x,y,z). [hyper(817,a,1966,a)]. given #1830 (H,wt=27): 1906 (x \ (y * x)) * R((x \ (y * x)) \ x,z,u) = T(y * R(y \ x,z,u),x). [hyper(168,a,1904,a(flip),b,1116,a),flip(a)]. given #1831 (H,wt=25): 1968 T(x,y) * R((y \ (x * y)) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(32(a,2),1906(a,1,1))]. given #1832 (H,wt=23): 1969 T(x,y) * R(T(x,y) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(32(a,2),1968(a,1,2,1,1))]. given #1833 (H,wt=27): 1926 L(R(x,y,z) \ u,R(x,y,z),1 / x) = (R(x,y,z) / x) \ ((1 / x) * u). [para(1919(a,1),105(a,2,1))]. given #1834 (H,wt=27): 1944 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * ((x * R(x \ 1,y,z)) / x). [para(1942(a,1),1355(a,2,2,1))]. given #1835 (H,wt=23): 1971 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * R(1 / x,y,z). [para(629(a,1),1944(a,2,2))]. given #1836 (H,wt=19): 1972 T(x * R(1 / x,y,z),x) = x * R(1 / x,y,z). [para(629(a,1),1971(a,1,1,2))]. given #1837 (H,wt=18): 1973 T(x * (y / (x * y)),x) = x * R(1 / x,x,y). [para(159(a,1),1972(a,1,1,2))]. given #1838 (H,wt=17): 1974 T(x * (y / (x * y)),x) = x * (y / (x * y)). [para(159(a,1),1973(a,2,2))]. given #1839 (H,wt=11): 1975 T(x,x * (y / (x * y))) = x. [hyper(35,a,1974,a)]. given #1840 (H,wt=11): 1977 T(x,x * ((x \ y) / y)) = x. [para(14(a,1),1975(a,1,2,2,2))]. given #1841 (H,wt=15): 1978 T(x / y,(x / y) * (y / x)) = x / y. [para(16(a,1),1975(a,1,2,2,2))]. given #1842 (H,wt=17): 1981 T(x \ y,(y / x) * (x / y)) = T(y / x,x). [para(1978(a,1),183(a,1,1)),flip(a)]. given #1843 (H,wt=15): 1982 T(x \ y,(y / x) * (x / y)) = x \ y. [hyper(236,a,121,a(flip),b,1981,a)]. given #1844 (H,wt=19): 1979 T((x \ y) \ y,x * ((x \ z) / z)) = T(x,x \ y). [para(1977(a,1),259(a,1,1)),flip(a)]. given #1845 (H,wt=19): 1980 T(x / (y * x),(x / (y * x)) * y) = x / (y * x). [para(15(a,1),1978(a,1,2,2))]. given #1846 (H,wt=21): 1985 T((x / (y * x)) * y,x / (y * x)) = (x / (y * x)) * y. [hyper(35,a,1980,a)]. given #1847 (H,wt=22): 1976 T(x,y / (x * y)) * R(x \ 1,x,y) = x * (y / (x * y)). [hyper(236,a,1965,a,b,1974,a(flip)),flip(a)]. given #1848 (H,wt=27): 1963 x * ((x * y) * R((x * y) \ y,z,u)) = (x * R(x \ 1,z,u)) * (x * y). [para(13(a,1),1961(a,1,2,2,1,2))]. given #1849 (H,wt=25): 1986 (x * R(x \ 1,y,z)) * (x * u) = x * ((x * R(x \ 1,y,z)) * u). [para(1909(a,1),1963(a,1,2)),flip(a)]. given #1850 (H,wt=27): 1983 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = (y * (y \ x)) / x. [para(1982(a,1),1408(a,2,1,2))]. given #1851 (H,wt=23): 1988 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = x / x. [para(14(a,1),1983(a,2,1))]. given #1852 (H,wt=21): 1989 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = 1. [hyper(236,a,59,a(flip),b,1988,a)]. given #1853 (H,wt=28): 822 ((x * y) * R(L(z,y,x),u,w)) / (x * y) = R((x * (y * z)) / (x * y),u,w). [para(28(a,2),629(a,1,1,2,1))]. given #1854 (H,wt=25): 1991 R((x * (y * z)) / (x * y),u,w) = (x * (y * R(z,u,w))) / (x * y). [para(443(a,1),822(a,1,1)),flip(a)]. given #1855 (H,wt=28): 967 (x * y) * L((x * y) \ z,u,w) != v5 | x * (y * L(y \ (x \ z),u,w)) = v5. [para(510(a,1),219(a,1,2))]. given #1856 (H,wt=28): 1109 x * R(T(y,z * x),z,x) != u * w | u \ (z \ ((L(y,x,z) * z) * x)) = w. [para(1100(a,1),367(a,1,2))]. given #1857 (H,wt=28): 1136 (x * y) * R((x * y) \ (x * z),u,w) != v5 | x * (y * R(y \ z,u,w)) = v5. [para(105(a,1),771(a,1,2,1))]. given #1858 (H,wt=28): 1161 T((T(x,y) * (1 / x)) / T(x,y),T(x,y) / x) = L(1 / x,T(x,y),1 / x). [para(1150(a,1),663(a,1,2))]. given #1859 (H,wt=22): 1992 (T(x,y) * (1 / x)) / T(x,y) = L(1 / x,T(x,y),1 / x). [hyper(236,a,1595,a(flip),b,1161,a(flip)),flip(a)]. given #1860 (H,wt=24): 1994 T(L(1 / x,T(x,y),1 / x),x) = (T(x,y) * (x \ 1)) / T(x,y). [para(1992(a,1),670(a,1,1))]. given #1861 (H,wt=22): 1995 (T(x,y) * (x \ 1)) / T(x,y) = L(x \ 1,T(x,y),1 / x). [hyper(817,a,1994,a),flip(a)]. given #1862 (H,wt=20): 1996 x * L(x \ 1,T(x,y),1 / x) = K(T(x,y),1 / x). [para(1995(a,1),1550(a,1,2))]. given #1863 (H,wt=28): 1171 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = (y * x) * T(L(x \ 1,x,y),y). [para(353(a,1),1166(a,1,1)),flip(a)]. given #1864 (H,wt=25): 1997 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = y * (x * T(x \ 1,y)). [hyper(236,a,442,a(flip),b,1171,a)]. given #1865 (H,wt=13): 1998 T(x,x * (y * T(y \ 1,x))) = x. [para(1997(a,1),206(a,1,2))]. given #1866 (H,wt=9): 2002 T(x,x * K(y,x)) = x. [para(1239(a,2),1998(a,1,2,2))]. given #1867 (H,wt=13): 2004 T(x * K(y,x),x) = x * K(y,x). [hyper(35,a,2002,a)]. given #1868 (H,wt=15): 2003 T(x,x * (y \ (z * T(z \ y,x)))) = x. [para(1246(a,1),1998(a,1,2,2))]. given #1869 (H,wt=19): 2005 T(x,x * (T(x,y) \ ((y \ x) * ((y \ x) \ x)))) = x. [para(1302(a,1),2003(a,1,2,2,2,2))]. given #1870 (H,wt=11): 2006 T(x,x * (T(x,y) \ x)) = x. [para(14(a,1),2005(a,1,2,2,2))]. given #1871 (H,wt=15): 2007 T(T(x,y),x * (T(x,z) \ x)) = T(x,y). [para(2006(a,1),38(a,1,1)),flip(a)]. given #1872 (H,wt=15): 2008 (x * (T(x,y) \ x)) \ (x * x) = T(x,y). [hyper(236,a,1000,a(flip),b,2007,a(flip)),flip(a)]. given #1873 (H,wt=15): 2009 (x * x) / T(x,y) = x * (T(x,y) \ x). [para(2008(a,1),62(a,1,2))]. given #1874 (H,wt=13): 2011 T(x / T(x,y),x) = T(x,y) \ x. [hyper(1164,a,2009,a)]. given #1875 (H,wt=21): 2013 T(x,y) * T(T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [para(2011(a,1),405(a,1,1)),flip(a)]. given #1876 (H,wt=28): 1227 (x \ y) \ (((y \ x) \ 1) \ L((y \ x) \ 1,y \ x,y)) = ((y \ x) \ 1) \ 1. [para(347(a,1),1215(a,1,1))]. given #1877 (H,wt=21): 2014 (x \ y) \ (((y \ x) \ 1) \ (x \ y)) = ((y \ x) \ 1) \ 1. [para(347(a,1),1227(a,1,2,2))]. given #1878 (H,wt=21): 2015 (x \ y) * (((y \ x) \ 1) \ 1) = ((y \ x) \ 1) \ (x \ y). [para(2014(a,1),14(a,1,2))]. given #1879 (H,wt=28): 1348 (x * y) * T((x * y) \ (z * y),u) != y * w | T(x * T(x \ z,u),y) = w. [para(1320(a,2),169(a,2)),flip(a)]. given #1880 (H,wt=28): 1420 x \ (y * (x * T(x \ (y \ z),u))) != w | T(y * T(y \ (z / x),u),x) = w. [para(1414(a,1),284(a,1,2))]. given #1881 (H,wt=28): 1436 (L(1 / x,x,y) * K(x \ 1,x)) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(800(a,1),1433(a,1,1,1))]. given #1882 (H,wt=28): 1703 (x * y) * L((x * y) \ y,z,u) != y * w | T(x * L(x \ 1,z,u),y) = w. [para(1681(a,2),169(a,2)),flip(a)]. given #1883 (H,wt=28): 1753 K(x \ 1,x) * L(1 / x,y,z) != u | L(1 / x,y,z) * K(x \ 1,x) = u. [para(1742(a,1),369(a,1,2,1))]. given #1884 (H,wt=25): 2018 L(1 / x,y,z) * K(x \ 1,x) = (x \ 1) * (x * L(x \ 1,y,z)). [hyper(1753,a,1807,a)]. given #1885 (H,wt=28): 1791 x * L(y,1 / (1 / x),K(x,x \ 1)) = K(x,x \ 1) * ((1 / (1 / x)) * y). [para(1788(a,1),103(a,1,1))]. given #1886 (H,wt=28): 1935 (x * R(y,z,u)) * T(y,x) != w * (x * R(y,z,u)) | R(y,x,R(y,z,u)) = w. [para(1932(a,2),467(a,1))]. given #1887 (H,wt=28): 1957 R(x \ 1,x,y) \ T((y / (x * y)) * x,y / (x * y)) = T(x,y / (x * y)). [para(1956(a,1),1513(a,1,1))]. given #1888 (H,wt=22): 2020 R(x \ 1,x,y) \ ((y / (x * y)) * x) = T(x,y / (x * y)). [para(1985(a,1),1957(a,1,2))]. given #1889 (H,wt=16): 2021 T(x,R(x \ 1,x,y)) = T(x,y / (x * y)). [hyper(750,a,2020,a)]. given #1890 (H,wt=28): 1960 x * R(x \ T(y,x),z,u) != w * v5 | T(x * R(x \ y,z,u),x) / v5 = w. [para(1941(a,1),529(a,1,2))]. given #1891 (H,wt=28): 1962 (x * y) * R((x * y) \ y,z,u) != y * w | T(x * R(x \ 1,z,u),y) = w. [para(1909(a,2),169(a,2)),flip(a)]. given #1892 (H,wt=28): 2010 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = T(x,R(T(y,x),T(y,x) \ 1,x)). [para(1537(a,1),2008(a,1,1,2,1))]. given #1893 (H,wt=23): 2023 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = (T(y,x) \ y) * x. [hyper(236,a,1537,a(flip),b,2010,a)]. given #1894 (H,wt=28): 2019 ((x \ 1) * (x * L(x \ 1,x,y))) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(2018(a,1),1436(a,1,1))]. given #1895 (H,wt=28): 2024 ((x \ 1) * x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [hyper(236,a,1705,a(flip),b,2019,a(flip)),flip(a)]. given #1896 (H,wt=28): 2026 K(x \ 1,x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [para(187(a,2),2024(a,1,1))]. given #1897 (H,wt=29): 608 (x * (L(y,z,u) * w)) \ ((x * w) * L(T(y,w),z,u)) = a(x,w,L(T(y,w),z,u)). [para(181(a,1),24(a,2,1,2)),flip(a)]. given #1898 (H,wt=29): 801 (x * L(x \ y,z,u)) \ (L(y / x,z,u) * w) = L(x \ w,x,L(y / x,z,u)). [para(610(a,1),105(a,2,1)),flip(a)]. given #1899 (H,wt=29): 964 L(T(x / ((1 / x) * x),y),z,u) / x = L(T(1 / (1 / x),y),z,u) * (1 / x). [para(356(a,2),507(a,1,1,1))]. given #1900 (H,wt=23): 2028 L(T(1 / (1 / x),y),z,u) * (1 / x) = L(T(x,y),z,u) / x. [para(130(a,1),964(a,1,1,1,1)),flip(a)]. given #1901 (H,wt=23): 2029 (1 / x) * L(T((1 / x) \ 1,y),z,u) = L(T(x,y),z,u) / x. [hyper(978,a,2028,a)]. given #1902 (H,wt=19): 2030 (1 / x) * L(T(x,y),z,u) = L(T(x,y),z,u) / x. [para(65(a,1),2029(a,1,2,1,1))]. given #1903 (H,wt=29): 966 (x / y) * (y * L(y \ ((x / y) \ z),u,w)) = x * L(((x / y) * y) \ z,u,w). [para(510(a,1),434(a,1,2)),flip(a)]. given #1904 (H,wt=25): 2031 (x / y) * (y * L(y \ ((x / y) \ z),u,w)) = x * L(x \ z,u,w). [para(16(a,1),966(a,2,2,1,1))]. given #1905 (H,wt=23): 2032 (x / y) * L((x / y) \ 1,z,u) = (x * L(x \ y,z,u)) / y. [hyper(74,a,2031,a(flip),b,1701,a(flip)),flip(a)]. given #1906 (H,wt=29): 982 ((x * ((y \ z) / (y * (y \ z)))) / x) * z = (((x * (1 / y)) / x) * y) * (y \ z). [para(840(a,1),309(a,1,1))]. given #1907 (H,wt=25): 2035 ((x * ((y \ z) / z)) / x) * z = (((x * (1 / y)) / x) * y) * (y \ z). [para(14(a,1),982(a,1,1,1,2,2))]. given #1908 (H,wt=21): 2037 (x * ((y \ x) / x)) / (y \ x) = ((x * (1 / y)) / x) * y. [hyper(374,a,2035,a)]. given #1909 (H,wt=21): 2038 (x * ((y \ x) / x)) / (y \ x) = y * ((x * (y \ 1)) / x). [hyper(236,a,825,a(flip),b,2037,a)]. given #1910 (H,wt=25): 2036 (((x * (1 / y)) / x) * y) * (y \ z) = z * ((x * (z \ (y \ z))) / x). [hyper(916,a,2035,a),flip(a)]. given #1911 (H,wt=25): 2039 (x * ((y * (x \ 1)) / y)) * (x \ z) = z * ((y * (z \ (x \ z))) / y). [para(825(a,1),2036(a,1,1))]. given #1912 (H,wt=29): 992 T(x,x \ y) \ R(T(z,z \ u),w,v5) = ((x \ y) \ y) \ R((z \ u) \ u,w,v5). [hyper(72,a,990,a(flip),b,311,a),flip(a)]. given #1913 (H,wt=29): 1060 ((x * y) \ x) * K(y \ 1,y * ((x * y) \ x)) = (y \ 1) * (y * ((x * y) \ x)). [para(1058(a,1),95(a,1,1))]. given #1914 (H,wt=29): 1199 (x * y) * R((y * T(x,y)) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)). [para(119(a,1),953(a,1,1))]. given #1915 (H,wt=27): 2040 x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * x) * R((y * x) \ x,z,u). [para(119(a,1),1199(a,1,2,1,1)),flip(a)]. given #1916 (H,wt=23): 2041 T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y). [hyper(168,a,1909,a(flip),b,2040,a),flip(a)]. given #1917 (H,wt=24): 2042 T(x * R(x \ 1,T(x,y),z),y) = (z / (T(x,y) * z)) * T(x,y). [hyper(236,a,635,a,b,2041,a(flip))]. given #1918 (H,wt=28): 2044 T(x * R(x \ 1,T(x,y),x \ 1),y) = ((x \ 1) / (x \ T(x,y))) * T(x,y). [para(930(a,1),2042(a,2,1,2))]. given #1919 (H,wt=25): 2045 ((x \ 1) / (x \ T(x,y))) * T(x,y) = T(x * T(x \ 1,T(x,y)),y). [para(1375(a,1),2044(a,1,1,2)),flip(a)]. given #1920 (H,wt=28): 2046 T(x * T(x \ 1,T(x,y)),y) != z * T(x,y) | (x \ 1) / (x \ T(x,y)) = z. [para(2045(a,1),20(a,1))]. given #1921 (H,wt=29): 1225 L(x,y,z) \ T(L(x,y,z) * (L(x,y,z) \ x),u) = T(x,u) * (L(x,y,z) \ 1). [para(1211(a,1),925(a,1,2,1,2))]. given #1922 (H,wt=19): 2047 T(x,y) * (L(x,z,u) \ 1) = L(x,z,u) \ T(x,y). [para(14(a,1),1225(a,1,2,1)),flip(a)]. given #1923 (H,wt=29): 1272 (((x / y) * T(y,z)) / (x / y)) \ T(y,z) = T(y,z) * (T(x / (x / y),z) \ 1). [para(416(a,1),1268(a,1,2,1)),flip(a)]. given #1924 (H,wt=25): 2048 T(x,y) * (T(z / (z / x),y) \ 1) = T(z / (z / x),y) \ T(x,y). [para(416(a,1),1272(a,1,1)),flip(a)]. given #1925 (H,wt=29): 1400 T(x,y) * T((y \ (x * y)) \ (y \ z),u) = y \ ((x * y) * T((x * y) \ z,u)). [para(32(a,2),1338(a,1,1))]. given #1926 (H,wt=27): 2049 x \ ((y * x) * T((y * x) \ z,u)) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(32(a,2),1400(a,1,2,1,1)),flip(a)]. given #1927 (H,wt=27): 2050 x \ (y * (x * T(x \ (y \ z),u))) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(857(a,1),2049(a,1,2))]. given #1928 (H,wt=25): 2051 T(x,y) * T(T(x,y) \ (y \ z),u) = T(x * T(x \ (z / y),u),y). [hyper(1420,a,2050,a),flip(a)]. given #1929 (H,wt=25): 2052 T(x * T(x \ ((y * z) / y),u),y) = T(x,y) * T(T(x,y) \ z,u). [para(13(a,1),2051(a,1,2,1,2)),flip(a)]. given #1930 (H,wt=23): 2053 T(x,y) * T(T(x,y) \ T(z,y),u) = T(x * T(x \ z,u),y). [para(163(a,1),2052(a,1,1,2,1,2)),flip(a)]. given #1931 (H,wt=21): 2054 T(x,y) * T(T(x,y) \ 1,z) = T(x * T(x \ 1,z),y). [para(147(a,1),2053(a,1,2,1,2))]. given #1932 (H,wt=19): 2055 T(x * T(x \ 1,y),z) = K(y \ (y / T(x,z)),y). [hyper(1041,a,2054,a),flip(a)]. given #1933 (H,wt=17): 2059 K(x \ (x / T(x,y)),x) = T(K(x \ 1,x),y). [para(272(a,1),2055(a,1,1)),flip(a)]. given #1934 (H,wt=19): 2060 T(x \ T(x,y),z) = K(y \ (y / T(x \ 1,z)),y). [para(927(a,1),2055(a,1,1))]. given #1935 (H,wt=20): 2061 K(x \ (x / T(L(y \ 1,y,x),z)),x) = T(K(y,x),z). [para(1245(a,2),2055(a,1,1)),flip(a)]. given #1936 (H,wt=19): 2063 K(x \ (x / T(y \ x,z)),x) = T(K(x \ y,x),z). [para(347(a,1),2061(a,1,1,2,2,1))]. given #1937 (H,wt=21): 2056 T(x * T(x \ 1,T(x,y)),y) = (T(x,y) \ 1) * T(x,y). [hyper(220,a,2054,a),flip(a)]. given #1938 (H,wt=15): 2065 (x \ 1) / (x \ T(x,y)) = T(x,y) \ 1. [hyper(2046,a,2056,a)]. given #1939 (H,wt=21): 2057 T(x,y) \ T(x * T(x \ 1,z),y) = T(T(x,y) \ 1,z). [hyper(80,a,2054,a)]. given #1940 (H,wt=21): 2058 (x * T(x \ 1,y)) * z = z * K(y \ (y / T(x,z)),y). [para(2055(a,1),119(a,1,2)),flip(a)]. given #1941 (H,wt=21): 2066 T(T(x,y) \ 1,x \ T(x,y)) = (x \ T(x,y)) \ (x \ 1). [para(2065(a,1),121(a,1,1))]. given #1942 (H,wt=23): 2062 T(x \ T(x,y),T(x,x \ 1)) = K(y \ (y / T(x \ 1,x)),y). [para(1766(a,1),2060(a,2,1,2,2))]. given #1943 (H,wt=19): 2070 T(x \ T(x,y),T(x,x \ 1)) = T(x \ T(x,y),x). [hyper(236,a,2060,a,b,2062,a)]. given #1944 (H,wt=23): 2069 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(x * (x \ 1),y). [para(1370(a,1),2057(a,1,2,1,2)),flip(a)]. given #1945 (H,wt=19): 2072 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(1,y). [para(14(a,1),2069(a,2,2,1))]. given #1946 (H,wt=17): 2074 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ 1. [para(147(a,1),2072(a,2,2))]. given #1947 (H,wt=15): 2075 (x \ T(x,y)) \ (x \ 1) = T(x,y) \ 1. [hyper(236,a,2066,a(flip),b,2074,a(flip)),flip(a)]. given #1948 (H,wt=17): 2079 (x \ T(x,y)) * ((x \ 1) \ (T(x,y) \ 1)) = 1. [para(2075(a,1),1650(a,1,2,2))]. given #1949 (H,wt=17): 2080 (x \ 1) \ (T(x,y) \ 1) = (x \ T(x,y)) \ 1. [hyper(80,a,2079,a),flip(a)]. given #1950 (H,wt=21): 2078 (x * T(x \ 1,y)) \ ((1 / x) \ 1) = T(1 / x,y) \ 1. [para(713(a,1),2075(a,1,1))]. given #1951 (H,wt=17): 2081 (x * T(x \ 1,y)) \ x = T(1 / x,y) \ 1. [para(65(a,1),2078(a,1,2))]. given #1952 (H,wt=17): 2082 x / (T(1 / x,y) \ 1) = x * T(x \ 1,y). [para(2081(a,1),62(a,1,2))]. given #1953 (H,wt=17): 2083 K(x \ (x / y),x) \ y = T(1 / y,x) \ 1. [para(1040(a,2),2081(a,1,1))]. given #1954 (H,wt=24): 2067 T(T(x,y) \ 1,x \ T(x,y)) != z | (x \ T(x,y)) \ (x \ 1) = z. [para(2065(a,1),280(a,1,1))]. given #1955 (H,wt=24): 2068 T(x,y) * T(T(x,y) \ 1,z) != u | T(x * T(x \ 1,z),y) = u. [para(2057(a,1),216(a,1,2)),flip(b)]. given #1956 (H,wt=24): 2071 T((x * y) \ (y * x),T(y,y \ 1)) = L(T(y \ T(y,x),y),y,x). [para(2070(a,1),715(a,1,1)),flip(a)]. given #1957 (H,wt=23): 2084 T((x * y) \ (y * x),T(y,y \ 1)) = T((x * y) \ (y * x),y). [hyper(236,a,715,a(flip),b,2071,a)]. given #1958 (H,wt=19): 2085 T((x * y) \ (y * x),T(y,y \ 1)) = T(K(y,x),y). [para(26(a,2),2084(a,2,1))]. given #1959 (H,wt=15): 2086 T(K(x,y),T(x,x \ 1)) = T(K(x,y),x). [para(26(a,2),2085(a,1,1))]. given #1960 (H,wt=25): 2064 T(K(x \ y,x),(y \ x) \ z) = K(x \ (x / (((y \ x) \ z) \ z)),x). [para(120(a,1),2063(a,1,1,2,2)),flip(a)]. given #1961 (H,wt=29): 1440 (x * (1 / y)) * K(y \ 1,y) != z * (y \ 1) | R(x,1 / y,K(y \ 1,y)) = z. [para(1434(a,1),467(a,2,2))]. given #1962 (H,wt=29): 1451 (L(x,y \ z,y) * z) \ (x * (y * (y \ z))) = a(y,y \ z,T(x,y * (y \ z))). [para(14(a,1),1450(a,1,1,2))]. given #1963 (H,wt=25): 2087 a(x,x \ y,T(z,x * (x \ y))) = (L(z,x \ y,x) * y) \ (z * y). [para(14(a,1),1451(a,1,2,2)),flip(a)]. given #1964 (H,wt=21): 2088 (L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,z)). [para(14(a,1),2087(a,1,3,2)),flip(a)]. given #1965 (H,wt=29): 1455 (x * y) * L((x * y) \ (y * z),u,w) = y * (T(x,y) * L(T(x,y) \ z,u,w)). [para(457(a,1),860(a,1,2,1))]. given #1966 (H,wt=23): 2090 T(x,y) * L(T(x,y) \ y,z,u) = T(x * L(x \ y,z,u),y). [hyper(168,a,1654,a(flip),b,1455,a(flip)),flip(a)]. given #1967 (H,wt=27): 2091 x * (T(y,x) * L(T(y,x) \ 1,z,u)) = (y * x) * L((y * x) \ x,z,u). [para(12(a,1),1455(a,1,2,1,2)),flip(a)]. given #1968 (H,wt=23): 2092 T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). [hyper(168,a,1681,a(flip),b,2091,a),flip(a)]. given #1969 (H,wt=23): 2093 T(x,y) \ T(x * L(x \ 1,z,u),y) = L(T(x,y) \ 1,z,u). [hyper(80,a,2092,a)]. given #1970 (H,wt=24): 2094 T(x * L(x \ 1,T(x,y),z),y) = T(x,y) * ((z * T(x,y)) \ z). [hyper(236,a,348,a(flip),b,2092,a(flip))]. given #1971 (H,wt=24): 2096 T(x,y) * L(T(x,y) \ 1,x,1 / x) = T(x * T(1 / x,1),y). [para(723(a,1),2092(a,2,1,2))]. given #1972 (H,wt=23): 2099 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * T(1 / x,1),y). [para(1012(a,1),2096(a,1,2))]. given #1973 (H,wt=21): 2100 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * (1 / x),y). [para(145(a,1),2099(a,2,1,2))]. given #1974 (H,wt=26): 2095 T(x * L(x \ 1,y,z),u) != T(x,u) * w | L(T(x,u) \ 1,y,z) = w. [para(2092(a,1),19(a,1))]. given #1975 (H,wt=28): 2097 T(x \ y,z) \ T((x \ y) * (y \ x),z) = L(T(x \ y,z) \ 1,x \ y,x). [para(347(a,1),2093(a,1,2,1,2))]. given #1976 (H,wt=28): 2098 T(x * L(x \ 1,T(x,y),1 / x),y) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(1150(a,1),2094(a,2,2,1))]. given #1977 (H,wt=23): 2101 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(K(T(x,y),1 / x),y). [para(1996(a,1),2098(a,1,1)),flip(a)]. given #1978 (H,wt=29): 1499 (R(x,y,z) * (x \ u)) * w != R(x,y,z) * u | T(x,R(x,y,z) * (x \ u)) = w. [para(1492(a,1),169(a,2))]. given #1979 (H,wt=29): 1509 R(x,y,z) \ T(R(x,y,z) * (R(x,y,z) \ x),u) = T(x,u) * (R(x,y,z) \ 1). [para(1504(a,1),925(a,1,2,1,2))]. given #1980 (H,wt=19): 2102 T(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ T(x,y). [para(14(a,1),1509(a,1,2,1)),flip(a)]. given #1981 (H,wt=25): 2103 R(x / y,z,u) \ T(x / y,y) = (y \ x) * (R(x / y,z,u) \ 1). [para(121(a,1),2102(a,1,1)),flip(a)]. given #1982 (H,wt=23): 2104 (x \ y) * (R(y / x,z,u) \ 1) = R(y / x,z,u) \ (x \ y). [para(121(a,1),2103(a,1,2)),flip(a)]. given #1983 (H,wt=27): 2105 R((x * y) / x,z,u) \ (x \ (x * y)) = y * (R((x * y) / x,z,u) \ 1). [para(13(a,1),2104(a,1,1)),flip(a)]. given #1984 (H,wt=23): 2106 x * (R((y * x) / y,z,u) \ 1) = R((y * x) / y,z,u) \ x. [para(13(a,1),2105(a,1,2)),flip(a)]. given #1985 (H,wt=29): 1569 (x \ 1) * ((y * ((x \ 1) \ K(x \ 1,x))) / y) = ((y * x) / y) / ((x \ 1) \ 1). [para(1387(a,1),1568(a,1,1,1,2)),flip(a)]. given #1986 (H,wt=21): 2107 ((x * y) / x) / ((y \ 1) \ 1) = (y \ 1) * ((x * y) / x). [para(273(a,1),1569(a,1,2,1,2)),flip(a)]. given #1987 (H,wt=23): 2108 (T(x,y) \ 1) * ((y * T(x,y)) / y) = x / ((T(x,y) \ 1) \ 1). [para(163(a,1),2107(a,1,1)),flip(a)]. given #1988 (H,wt=17): 2109 x / ((T(x,y) \ 1) \ 1) = (T(x,y) \ 1) * x. [para(163(a,1),2108(a,1,2)),flip(a)]. given #1989 (H,wt=25): 2110 (T(x,y) \ 1) \ ((T(x,y) \ x) / x) = K(x,((T(x,y) \ 1) * x) / x). [para(2109(a,1),1555(a,1,2,1)),flip(a)]. given #1990 (H,wt=21): 2111 (T(x,y) \ 1) \ ((T(x,y) \ x) / x) = K(x,T(x,y) \ 1). [para(15(a,1),2110(a,2,2))]. given #1991 (H,wt=21): 2112 (T(x,y) \ 1) * K(x,T(x,y) \ 1) = (T(x,y) \ x) / x. [para(2111(a,1),14(a,1,2))]. given #1992 (H,wt=29): 1618 T((T(x,y) / T(x,z)) * T(x,z),u) / T(x,z) = (1 / T(x,z)) * T(T(x,y),u). [para(1616(a,1),1590(a,1,2,1)),flip(a)]. given #1993 (H,wt=29): 1663 ((x * y) * L(y,z,u)) \ (y * (x * L(y,z,u))) != w | K(y,x * L(y,z,u)) = w. [para(1655(a,1),285(a,1,1))]. given #1994 (H,wt=29): 1744 (x \ 1) \ (K(x \ 1,x) * y) != z | L((1 / x) \ y,1 / x,K(x \ 1,x)) = z. [para(1733(a,1),784(a,1,1))]. given #1995 (H,wt=26): 2114 L((1 / x) \ y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(1744,a,1897,a)]. given #1996 (H,wt=29): 1798 K(((x * y) \ x) \ (((x * y) \ x) * y),(x * y) \ x) * y = T(y,(x * y) \ x). [para(1720(a,1),1596(a,2,1,1,2)),flip(a)]. given #1997 (H,wt=17): 2115 K(x,(y * x) \ y) * x = T(x,(y * x) \ y). [para(13(a,1),1798(a,1,1,1))]. given #1998 (H,wt=19): 2116 x \ T(x,(y * x) \ y) = T(K(x,(y * x) \ y),x). [hyper(394,a,xx,b,2115,a),flip(a)]. given #1999 (H,wt=29): 1908 (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). [hyper(72,a,1904,a(flip),b,1116,a),flip(a)]. given #2000 (H,wt=29): 1970 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),1969(a,2,1,2,1))]. given #2001 (H,wt=29): 1984 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = ((x \ y) * T(x,x \ y)) / y. [para(1979(a,1),1408(a,2,1,2))]. given #2002 (H,wt=21): 2119 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = y / y. [para(165(a,1),1984(a,2,1))]. given #2003 (H,wt=19): 2120 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = 1. [hyper(236,a,59,a(flip),b,2119,a)]. given #2004 (H,wt=23): 2122 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = 1 / ((x \ y) / y). [para(2120(a,1),1048(a,1,1)),flip(a)]. given #2005 (H,wt=17): 2123 (x * ((x \ y) / y)) \ x = 1 / ((x \ y) / y). [hyper(236,a,1470,a(flip),b,2122,a(flip)),flip(a)]. given #2006 (H,wt=21): 2124 ((x / y) * (y / x)) \ (x / y) = 1 / (((x / y) \ x) / x). [para(65(a,1),2123(a,1,1,2,1))]. given #2007 (H,wt=17): 2125 ((x / y) * (y / x)) \ (x / y) = 1 / (y / x). [para(65(a,1),2124(a,2,2,1))]. given #2008 (H,wt=15): 2127 K(1 / (x / y),(y / x) * (x / y)) = 1. [para(2125(a,1),1989(a,1,1))]. given #2009 (H,wt=17): 2126 ((x / y) * (y / x)) * (1 / (y / x)) = x / y. [para(2125(a,1),14(a,1,2))]. given #2010 (H,wt=17): 2128 K(1 / x,(y / (x * y)) * ((x * y) / y)) = 1. [para(15(a,1),2127(a,1,1,2))]. given #2011 (H,wt=13): 2130 K(1 / x,(y / (x * y)) * x) = 1. [para(15(a,1),2128(a,1,2,2))]. given #2012 (H,wt=15): 2131 T(1 / x,(y / (x * y)) * x) = 1 / x. [hyper(37,a,2130,a)]. given #2013 (H,wt=14): 2132 L(x \ 1,x,y / (x * y)) = 1 / x. [hyper(1479,a,2131,a)]. given #2014 (H,wt=15): 2133 L(x \ 1,x,R(1 / x,x,y)) = 1 / x. [para(159(a,2),2132(a,1,3))]. given #2015 (H,wt=17): 2134 ((x / (y * x)) * y) * (1 / y) = x / (y * x). [para(2132(a,1),349(a,1,2))]. given #2016 (H,wt=18): 2136 R(x \ 1,x,y) \ (y / (x * y)) = K(x,x \ 1). [para(2134(a,1),1876(a,1,2))]. given #2017 (H,wt=19): 2135 R(1 / x,x,y) / (1 / x) = R(1 / x,x,y) * x. [para(2133(a,1),353(a,1,2))]. given #2018 (H,wt=14): 2138 T(1 / (1 / x),R(1 / x,x,y)) = x. [hyper(1925,a,2135,a)]. given #2019 (H,wt=13): 2139 T(1 / (1 / x),y / (x * y)) = x. [para(159(a,1),2138(a,1,2))]. given #2020 (H,wt=13): 2140 T(x,y / (x * y)) = T(x,x \ 1). [para(2139(a,1),1729(a,1,1)),flip(a)]. given #2021 (H,wt=13): 2141 T(x,y / (x * y)) = (x \ 1) \ 1. [hyper(236,a,120,a(flip),b,2140,a)]. given #2022 (H,wt=15): 2142 x \ T(x,y / (x * y)) = K(x,x \ 1). [hyper(72,a,2140,a,b,1821,a)]. given #2023 (H,wt=15): 2145 T(x / y,y / x) = ((x / y) \ 1) \ 1. [para(16(a,1),2141(a,1,2,2))]. given #2024 (H,wt=17): 2146 T(x / (y * x),y) = ((x / (y * x)) \ 1) \ 1. [para(15(a,1),2145(a,1,2))]. given #2025 (H,wt=16): 2148 R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1. [hyper(236,a,630,a(flip),b,2146,a(flip)),flip(a)]. given #2026 (H,wt=18): 2144 x \ T(x,y / (x * y)) != z | K(x,x \ 1) = z. [para(2140(a,2),1819(a,1,2))]. given #2027 (H,wt=19): 2149 x * (((y / (x * y)) \ 1) \ 1) = (y / (x * y)) * x. [para(2146(a,1),119(a,1,2))]. given #2028 (H,wt=21): 2129 ((x * y) / y) * (y / (x * y)) = x / (1 / (y / (x * y))). [hyper(74,a,15,a(flip),b,2126,a),flip(a)]. given #2029 (H,wt=17): 2151 x / (1 / (y / (x * y))) = x * (y / (x * y)). [para(15(a,1),2129(a,1,1)),flip(a)]. given #2030 (H,wt=17): 2152 (x * (y / (x * y))) \ x = 1 / (y / (x * y)). [para(2151(a,1),65(a,1,1))]. given #2031 (H,wt=21): 2137 x / (y * x) != z * K(y,y \ 1) | R(y \ 1,y,x) = z. [para(2136(a,1),86(a,1,2)),flip(a),flip(b)]. given #2032 (H,wt=21): 2147 ((((x * y) / x) \ 1) \ 1) * x = x * T(y,x / (x * y)). [para(2145(a,1),406(a,1,1))]. given #2033 (H,wt=17): 2154 T(x,((y * x) / y) \ 1) = T(x,y / (y * x)). [hyper(1135,a,2147,a)]. given #2034 (H,wt=24): 2153 K(x \ (x * (y / (x * y))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(2151(a,1),1597(a,1,1,2))]. given #2035 (H,wt=20): 2155 R(x \ 1,x,y) / (y / (x * y)) = K(y / (x * y),x). [hyper(236,a,660,a(flip),b,2153,a(flip))]. given #2036 (H,wt=20): 2157 K(x / (y * x),y) * (x / (y * x)) = R(y \ 1,y,x). [para(2155(a,1),16(a,1,1))]. given #2037 (H,wt=23): 2158 R(x \ 1,x,y) != z * (y / (x * y)) | K(y / (x * y),x) = z. [para(2157(a,1),20(a,1))]. given #2038 (H,wt=25): 2143 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,y \ 1) * x. [para(2140(a,1),1411(a,2,1))]. given #2039 (H,wt=28): 2150 R(R(x,y,z) \ 1,R(x,y,z),y * z) = (((y * z) / ((x * y) * z)) \ 1) \ 1. [para(113(a,1),2148(a,2,1,1,2))]. given #2040 (H,wt=30): 787 (x * (y * (z * u))) \ (x * ((y * z) * u)) != w | L(a(y,z,u),y * (z * u),x) = w. [para(91(a,1),447(a,1,2,2))]. given #2041 (H,wt=30): 869 ((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x). [para(487(a,1),669(a,1,2,1,2)),flip(a)]. given #2042 (H,wt=27): 2161 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y. [hyper(845,a,869,a),flip(a)]. given #2043 (H,wt=27): 2162 (((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x). [para(16(a,1),2161(a,1,2,1,2,2)),flip(a)]. given #2044 (H,wt=23): 2164 (x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y. [hyper(303,a,2162,a),flip(a)]. given #2045 (H,wt=17): 2166 (x * ((x / y) / x)) * y = T(x,x / (x * y)). [hyper(236,a,1296,a(flip),b,2164,a(flip))]. given #2046 (H,wt=23): 2167 x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y. [hyper(236,a,1124,a(flip),b,2164,a(flip)),flip(a)]. given #2047 (H,wt=26): 2165 (x * y) * ((x * ((x * y) \ z)) / x) != u | (x * ((z / y) / x)) * y = u. [para(2162(a,1),303(a,1))]. given #2048 (H,wt=20): 2169 T(x,x / (x * y)) != z | (x * ((x / y) / x)) * y = z. [para(1296(a,1),2165(a,1))]. given #2049 (H,wt=26): 2170 x * (y * ((x * (y \ (x \ z))) / x)) != u | (x * ((z / y) / x)) * y = u. [para(1124(a,1),2165(a,1))]. given #2050 (H,wt=27): 2163 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y. [para(825(a,1),2161(a,2,1))]. given #2051 (H,wt=25): 2175 (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. [para(11(a,1),2163(a,1,2,1,2,2))]. given #2052 (H,wt=21): 2181 T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y). [hyper(168,a,2175,a(flip),b,1641,a(flip))]. given #2053 (H,wt=19): 2185 K(x,(x / T(y \ x,z)) / x) = T(K(x,y / x),z). [para(1549(a,1),2181(a,1,1)),flip(a)]. given #2054 (H,wt=21): 2186 T(K(x,y / x),K(y / x,z)) = K(x,(x / (y \ x)) / x). [para(1399(a,1),2185(a,1,2,1,2)),flip(a)]. given #2055 (H,wt=17): 2187 T(K(x,y / x),K(y / x,z)) = K(x,y / x). [para(62(a,1),2186(a,2,2,1))]. given #2056 (H,wt=19): 2188 T(K(x,y),K((y * x) / x,z)) = K(x,(y * x) / x). [para(15(a,1),2187(a,1,1,2))]. given #2057 (H,wt=15): 2189 T(K(x,y),K(y,z)) = K(x,(y * x) / x). [para(15(a,1),2188(a,1,2,1))]. given #2058 (H,wt=11): 2190 T(K(x,y),K(y,z)) = K(x,y). [para(15(a,1),2189(a,2,2))]. given #2059 (H,wt=11): 2191 T(K(x,y),K(z,x)) = K(x,y). [hyper(35,a,2190,a)]. given #2060 (H,wt=15): 2192 K(x,y) * K(z,x) = K(z,x) * K(x,y). [para(2190(a,1),119(a,1,2))]. given #2061 (H,wt=18): 2193 K(x,y) * K(z,x) != u | K(z,x) * K(x,y) = u. [para(2190(a,1),220(a,1,2))]. given #2062 (H,wt=18): 2197 K(x,y) * K(y,z) != u | K(y,z) * K(x,y) = u. [para(2191(a,1),220(a,1,2))]. given #2063 (H,wt=21): 2194 L(K(x,y),z,u) * K(y,w) = K(y,w) * L(K(x,y),z,u). [para(2190(a,1),181(a,1,2,1)),flip(a)]. given #2064 (H,wt=21): 2195 R(K(x,y),z,u) * K(y,w) = K(y,w) * R(K(x,y),z,u). [para(2190(a,1),182(a,1,2,1)),flip(a)]. given #2065 (H,wt=21): 2198 L(K(x,y),z,u) * K(w,x) = K(w,x) * L(K(x,y),z,u). [para(2191(a,1),181(a,1,2,1)),flip(a)]. given #2066 (H,wt=21): 2199 R(K(x,y),z,u) * K(w,x) = K(w,x) * R(K(x,y),z,u). [para(2191(a,1),182(a,1,2,1)),flip(a)]. given #2067 (H,wt=23): 2180 (x * ((y * (x \ 1)) / y)) * x = x * (x * ((y * (x \ 1)) / y)). [hyper(236,a,1122,a(flip),b,2175,a(flip))]. given #2068 (H,wt=24): 2196 K(x,y) * L(K(z,x),u,w) != v5 | L(K(z,x),u,w) * K(x,y) = v5. [para(2190(a,1),369(a,1,2,1))]. given #2069 (H,wt=24): 2200 K(x,y) * R(K(y,z),u,w) != v5 | R(K(y,z),u,w) * K(x,y) = v5. [para(2191(a,1),370(a,1,2,1))]. given #2070 (H,wt=25): 2176 (x * (((x * y) * (x \ 1)) / (x * y))) * y = (x * y) * (y / (x * y)). [para(55(a,1),2163(a,1,2,1)),flip(a)]. given #2071 (H,wt=25): 2178 x * (y * ((z * (y \ (x \ y))) / z)) = (x * ((z * (x \ 1)) / z)) * y. [hyper(236,a,1124,a(flip),b,2175,a(flip)),flip(a)]. given #2072 (H,wt=25): 2184 T(x,y) * ((z * (T(x,y) \ 1)) / z) = T(x * ((z * (x \ 1)) / z),y). [hyper(236,a,1546,a(flip),b,2181,a),flip(a)]. given #2073 (H,wt=21): 2202 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x * (1 / x),y). [para(14(a,1),2184(a,2,1,2,1))]. given #2074 (H,wt=19): 2204 T(x,y) * ((T(x,y) \ x) / x) = T(x * (1 / x),y). [para(1004(a,1),2202(a,1,2,1))]. given #2075 (H,wt=17): 2205 (1 / x) * (T(x,y) \ x) = (T(x,y) \ x) / x. [hyper(17,a,2100,a,b,2204,a),flip(a)]. given #2076 (H,wt=19): 2207 T(x,y) * ((T(x,y) \ x) / x) = T(K(x,x \ 1),y). [para(1770(a,2),2204(a,2,1))]. given #2077 (H,wt=17): 2210 x * T(K(x,x \ 1),y) = T(x,T(x,y) \ 1). [para(2207(a,1),1873(a,1,2))]. given #2078 (H,wt=20): 2211 T(x,T(x,y) \ 1) != x * z | T(K(x,x \ 1),y) = z. [para(2210(a,1),19(a,1))]. given #2079 (H,wt=21): 2209 T((T(x,y) \ x) / x,x) = (1 / x) * ((T(x,y) \ 1) * x). [para(2205(a,1),1015(a,1,1))]. given #2080 (H,wt=17): 2213 (1 / x) * ((T(x,y) \ 1) * x) = T(x,y) \ 1. [hyper(236,a,1008,a(flip),b,2209,a(flip))]. given #2081 (H,wt=19): 2212 (1 / x) * ((T(x,y) \ 1) * x) = x \ (T(x,y) \ x). [hyper(280,a,2209,a),flip(a)]. given #2082 (H,wt=20): 2214 (1 / x) * ((T(x,y) \ 1) * x) != z | T(x,y) \ 1 = z. [para(2212(a,2),1011(a,1))]. given #2083 (H,wt=22): 2206 T(x * (1 / x),y) != T(x,y) * z | (T(x,y) \ x) / x = z. [para(2204(a,1),19(a,1))]. given #2084 (H,wt=23): 2208 (T(x,y) \ x) \ ((T(x,y) \ x) / x) = T(1 / x,T(x,y) \ x). [hyper(394,a,xx,b,2205,a),flip(a)]. given #2085 (H,wt=27): 2172 x * (y * ((z * (y \ (x \ (u * y)))) / z)) = (x * ((z * (x \ u)) / z)) * y. [hyper(236,a,1124,a(flip),b,2163,a(flip)),flip(a)]. given #2086 (H,wt=23): 2216 (x * ((y * (x \ z)) / y)) * y = x * (y * ((x \ (z * y)) / y)). [para(14(a,1),2172(a,1,2,2,1)),flip(a)]. given #2087 (H,wt=29): 2173 ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * (y * ((z * (y \ 1)) / z)). [hyper(236,a,1122,a(flip),b,2163,a(flip))]. given #2088 (H,wt=29): 2174 (x \ (y * x)) * ((z * ((x \ (y * x)) \ x)) / z) = T(y * ((z * (y \ x)) / z),x). [hyper(168,a,2163,a(flip),b,1454,a),flip(a)]. given #2089 (H,wt=27): 2218 T(x,y) * ((z * ((y \ (x * y)) \ y)) / z) = T(x * ((z * (x \ y)) / z),y). [para(32(a,2),2174(a,1,1))]. given #2090 (H,wt=25): 2219 T(x,y) * ((z * (T(x,y) \ y)) / z) = T(x * ((z * (x \ y)) / z),y). [para(32(a,2),2218(a,1,2,1,2,1))]. given #2091 (H,wt=29): 2179 x * ((x * y) * ((z * ((x * y) \ y)) / z)) = (x * ((z * (x \ 1)) / z)) * (x * y). [hyper(236,a,1123,a(flip),b,2175,a(flip)),flip(a)]. given #2092 (H,wt=27): 2220 (x * ((y * (x \ 1)) / y)) * (x * z) = x * ((x * ((y * (x \ 1)) / y)) * z). [para(2175(a,1),2179(a,1,2)),flip(a)]. given #2093 (H,wt=25): 2221 K(x,(x / y) / x) * (y * z) = y * ((y * ((x * (y \ 1)) / x)) * z). [para(1546(a,2),2220(a,1,1))]. given #2094 (H,wt=29): 2201 (1 / x) * ((1 / x) * ((y * ((1 / x) \ 1)) / y)) = (((y * x) / y) / x) * (1 / x). [para(1317(a,1),2180(a,1,1)),flip(a)]. given #2095 (H,wt=23): 2222 (((x * y) / x) / y) * (1 / y) = (1 / y) * (((x * y) / x) / y). [para(1317(a,1),2201(a,1,2)),flip(a)]. given #2096 (H,wt=23): 2223 ((1 / x) * (((y * x) / y) / x)) / (1 / x) = ((y * x) / y) / x. [hyper(87,a,2222,a)]. given #2097 (H,wt=26): 2224 R(((x * y) / x) / y,y,x) = ((1 / y) * ((x * y) / (y * x))) / (1 / y). [para(2223(a,1),842(a,1,1))]. given #2098 (H,wt=23): 2225 ((1 / x) * ((y * x) / (x * y))) / (1 / x) = (y * x) / (x * y). [hyper(563,a,2224,a),flip(a)]. given #2099 (H,wt=27): 2226 T((x * y) / (y * x),y * x) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [para(2225(a,1),670(a,1,1))]. given #2100 (H,wt=23): 2227 ((1 / x) * ((x * y) \ (y * x))) / (1 / x) = (x * y) \ (y * x). [hyper(280,a,2226,a),flip(a)]. given #2101 (H,wt=19): 2228 K(x,y) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [hyper(236,a,26,a,b,2227,a),flip(a)]. given #2102 (H,wt=15): 2229 ((1 / x) * K(y,x)) / (1 / x) = K(y,x). [para(26(a,2),2228(a,2,1,2)),flip(a)]. given #2103 (H,wt=15): 2230 K(x,y) * (1 / y) = (1 / y) * K(x,y). [para(2229(a,1),16(a,1,1))]. given #2104 (H,wt=30): 987 (x * y) * T((x * y) \ z,u) != w * v5 | w \ (x * (y * T(y \ (x \ z),u))) = v5. [para(509(a,1),548(a,1,2))]. given #2105 (H,wt=30): 1061 L(x \ 1,x,y) \ ((x \ 1) * (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [para(1055(a,1),26(a,2,1)),flip(a)]. given #2106 (H,wt=30): 1125 (x * y) * ((z * ((x * y) \ (x * u))) / z) != w | x * (y * ((z * (y \ u)) / z)) = w. [para(835(a,1),219(a,1,2))]. given #2107 (H,wt=28): 2233 (x * y) * ((z * ((x * y) \ x)) / z) != u | x * (y * ((z * (y \ 1)) / z)) = u. [para(12(a,1),1125(a,1,2,1,2,2))]. given #2108 (H,wt=30): 1172 (L(x,1 / x,y) * y) / L(x,1 / x,y) = (y * (1 / x)) * T(L(x,1 / x,y),y). [para(384(a,1),1166(a,1,1)),flip(a)]. given #2109 (H,wt=25): 2235 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * ((1 / x) * T(x,y)). [hyper(236,a,442,a(flip),b,1172,a)]. given #2110 (H,wt=23): 2236 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * (T(x,y) / x). [para(1150(a,1),2235(a,2,2))]. given #2111 (H,wt=30): 1415 ((x * y) * T((x * y) \ x,z)) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)). [para(105(a,2),1344(a,1,2,2,1,2)),flip(a)]. given #2112 (H,wt=28): 2238 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * (y * T(y \ 1,u))) * z. [para(703(a,1),1415(a,1,1)),flip(a)]. given #2113 (H,wt=30): 1452 R(x,(x \ y) * z,a(x,x \ y,z)) \ (y * z) = ((x \ y) * z) * a(x,x \ y,z). [para(14(a,1),675(a,1,2,1))]. given #2114 (H,wt=30): 1682 (x * y) * L((x * y) \ (z * y),u,w) != y * v5 | T(x * L(x \ z,u,w),y) = v5. [para(1654(a,2),169(a,2)),flip(a)]. given #2115 (H,wt=30): 1898 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = (1 / x) * (K(x \ 1,x) * (x * y)). [para(435(a,1),1860(a,1,2,2)),flip(a)]. given #2116 (H,wt=30): 1911 (x * y) * R((x * y) \ (z * y),u,w) != y * v5 | T(x * R(x \ z,u,w),y) = v5. [para(1904(a,2),169(a,2)),flip(a)]. given #2117 (H,wt=30): 2012 T(((T(x,y) \ x) * x) / (T(x,y) \ x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(2009(a,2),663(a,1,2))]. given #2118 (H,wt=28): 2241 T(T(x,y) * T(T(x,y) \ x,x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1169(a,1),2012(a,1,1))]. given #2119 (H,wt=27): 2242 T(L(x,T(x,y) \ x,T(x,y)),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1026(a,1),2241(a,1,1))]. given #2120 (H,wt=27): 2243 T(L(x,T(x,y) \ x,T(x,y)),x * (T(x,y) \ x)) = L(x,T(x,y) \ x,x). [para(2009(a,1),2242(a,1,2))]. given #2121 (H,wt=27): 2244 L(T(x,x * (T(x,y) \ x)),T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [hyper(236,a,40,a,b,2243,a(flip)),flip(a)]. given #2122 (H,wt=19): 2245 L(x,T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [para(2006(a,1),2244(a,1,1))]. given #2123 (H,wt=20): 2246 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,x). [hyper(236,a,1026,a,b,2245,a(flip)),flip(a)]. given #2124 (H,wt=18): 2248 L(x,T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [hyper(236,a,2013,a(flip),b,2246,a(flip))]. given #2125 (H,wt=20): 2247 x * L(y,T(y,x) \ y,y) = (y * x) * T(K(x,y),y). [para(2245(a,1),1586(a,1,2))]. given #2126 (H,wt=30): 2182 (x * y) * ((z * ((x * y) \ y)) / z) != y * u | T(x * ((z * (x \ 1)) / z),y) = u. [para(2175(a,2),169(a,2)),flip(a)]. given #2127 (H,wt=30): 2217 ((x * y) * ((z * ((x * y) \ x)) / z)) * z = (x * y) * (z * (L(y \ z,y,x) / z)). [para(105(a,2),2216(a,2,2,2,1))]. given #2128 (H,wt=30): 2232 (x \ 1) * (L(x \ 1,x,y) \ (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [hyper(236,a,1210,a(flip),b,1061,a(flip)),flip(a)]. given #2129 (H,wt=23): 2249 K(x \ 1,x * ((y * x) \ y)) = (x \ 1) * T(x,(y * x) \ y). [para(707(a,1),2232(a,1,2)),flip(a)]. given #2130 (H,wt=30): 2234 (x * y) * ((z * ((x * y) \ u)) / z) != w | x * (y * ((z * (y \ (x \ u))) / z)) = w. [para(14(a,1),1125(a,1,2,1,2,2))]. given #2131 (H,wt=30): 2239 (x * y) * L((x * y) \ z,u,w) != y * v5 | T(x * L(x \ (z / y),u,w),y) = v5. [para(16(a,1),1682(a,1,2,1,2))]. given #2132 (H,wt=27): 2250 T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w). [hyper(2239,a,1455,a)]. given #2133 (H,wt=30): 2240 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = (1 / x) * (x * (K(x \ 1,x) * y)). [para(1430(a,1),1898(a,2,2))]. given #2134 (H,wt=29): 2251 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = L(K(x \ 1,x) * y,x,1 / x). [hyper(236,a,430,a(flip),b,2240,a)]. given #2135 (H,wt=25): 2252 L(K(x \ 1,x) * y,x,1 / x) = K(x \ 1,x) * L(y,x,1 / x). [para(1800(a,1),2251(a,1,1)),flip(a)]. given #2136 (H,wt=31): 958 K(x \ 1,x) * T(((x \ 1) * x) \ y,z) = (x \ 1) * (x * T(x \ ((x \ 1) \ y),z)). [para(509(a,1),446(a,1,2))]. given #2137 (H,wt=31): 977 R(R(x / y,y,z),u,w) * (y * z) != v5 | (y * z) * R((y * z) \ (x * z),u,w) = v5. [para(114(a,2),824(a,1,1,1))]. given #2138 (H,wt=31): 1404 (x * (y * T(y \ (x \ (z * u)),w))) / u = ((x * y) / u) * T(((x * y) / u) \ z,w). [para(857(a,1),1339(a,1,1))]. given #2139 (H,wt=29): 2255 ((x * y) / x) * T(((x * y) / x) \ z,u) = (x * (y * T(y \ T(z,x),u))) / x. [para(32(a,2),1404(a,1,1,2,2,1,2)),flip(a)]. given #2140 (H,wt=31): 1614 T(x * ((1 / x) * ((1 / x) \ (x \ (y * (1 / x))))),x) = (x * T(x \ y,x)) * (1 / x). [hyper(236,a,1344,a(flip),b,1609,a)]. given #2141 (H,wt=19): 2256 (x * T(x \ y,x)) * (1 / x) = T(y * (1 / x),x). [para(58(a,1),1614(a,1,1)),flip(a)]. given #2142 (H,wt=17): 2257 ((x \ y) * x) * (1 / x) = T(y * (1 / x),x). [para(119(a,1),2256(a,1,1))]. given #2143 (H,wt=17): 2259 T((x * y) * (1 / x),x) = (y * x) * (1 / x). [para(13(a,1),2257(a,1,1,1)),flip(a)]. given #2144 (H,wt=20): 2260 T(x * (1 / y),y) != z * (1 / y) | (y \ x) * y = z. [para(2257(a,1),20(a,1))]. given #2145 (H,wt=20): 2261 T((x * y) * (1 / x),x) != z * (1 / x) | y * x = z. [para(2259(a,2),20(a,1))]. given #2146 (H,wt=31): 1699 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,1692,a)]. given #2147 (H,wt=31): 1778 K(x,x \ 1) * T((x * (1 / x)) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [para(1770(a,2),857(a,1,1))]. given #2148 (H,wt=31): 1862 K(1 / x,(1 / x) \ 1) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [hyper(236,a,1856,a,b,1827,a(flip)),flip(a)]. given #2149 (H,wt=27): 2264 K(x \ 1,x) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [para(1800(a,1),1862(a,1,1))]. given #2150 (H,wt=25): 2265 K(x \ 1,x) * (x * L(x \ 1,y,z)) = L(x \ 1,y,z) / (1 / x). [para(969(a,1),2264(a,1,2))]. given #2151 (H,wt=24): 2266 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) / (1 / x). [hyper(236,a,2026,a(flip),b,2265,a(flip)),flip(a)]. given #2152 (H,wt=22): 2267 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) * x. [hyper(236,a,1811,a(flip),b,2266,a)]. given #2153 (H,wt=19): 2268 (x \ 1) * (x * L(x \ 1,x,y)) = L(x \ 1,x,y). [hyper(18,a,2019,a,b,2267,a(flip)),flip(a)]. given #2154 (H,wt=18): 2269 (x * y) \ x = (y \ 1) * (y * L(y \ 1,y,x)). [hyper(236,a,158,a(flip),b,2268,a),flip(a)]. given #2155 (H,wt=17): 2270 (x \ 1) * (x * ((y * x) \ y)) = (y * x) \ y. [para(158(a,1),2269(a,2,2,2)),flip(a)]. given #2156 (H,wt=13): 2273 K(x \ 1,x * ((y * x) \ y)) = 1. [hyper(71,a,2270,a(flip),b,1060,a),flip(a)]. given #2157 (H,wt=13): 2275 T(x,(y * x) \ y) = (x \ 1) \ 1. [hyper(72,a,2273,a(flip),b,2249,a(flip)),flip(a)]. given #2158 (H,wt=13): 2276 T(x,(y * x) \ y) = T(x,x \ 1). [hyper(236,a,120,a,b,2275,a)]. given #2159 (H,wt=15): 2277 K(x,(y * x) \ y) = ((x \ 1) \ 1) / x. [hyper(74,a,2275,a(flip),b,2115,a),flip(a)]. given #2160 (H,wt=13): 2280 K(x,(y * x) \ y) = K(x,x \ 1). [hyper(236,a,1737,a(flip),b,2277,a)]. given #2161 (H,wt=13): 2283 K(x,y \ (y / x)) = K(x,x \ 1). [para(16(a,1),2280(a,1,2,1))]. given #2162 (H,wt=15): 2278 T(x \ y,y \ x) = ((x \ y) \ 1) \ 1. [para(14(a,1),2275(a,1,2,1))]. given #2163 (H,wt=15): 2284 K(x,(y * x) \ y) \ 1 = K(x \ 1,x). [para(2280(a,2),1803(a,1,1))]. given #2164 (H,wt=16): 2281 K(x,(y * x) \ y) != z | K(x,x \ 1) = z. [para(2277(a,2),1754(a,1))]. given #2165 (H,wt=17): 2271 (x \ 1) \ ((y * x) \ y) = x * ((y * x) \ y). [hyper(80,a,2270,a)]. given #2166 (H,wt=17): 2282 K(x \ y,(x \ y) \ 1) = K(x \ y,y \ x). [para(14(a,1),2280(a,1,2,1)),flip(a)]. given #2167 (H,wt=17): 2285 K((x / y) \ x,z \ (z / y)) = K(y,y \ 1). [hyper(236,a,661,a,b,2283,a(flip)),flip(a)]. given #2168 (H,wt=17): 2286 T(x \ (x / y),y) = ((x \ (x / y)) \ 1) \ 1. [para(65(a,1),2278(a,1,2))]. given #2169 (H,wt=17): 2294 (x \ y) * (1 / (x \ y)) = K(x \ y,y \ x). [hyper(236,a,1770,a(flip),b,2282,a(flip)),flip(a)]. given #2170 (H,wt=19): 2287 (x \ y) * (((y \ x) \ 1) \ 1) = (y \ x) * (x \ y). [para(2278(a,1),119(a,1,2))]. given #2171 (H,wt=17): 2296 ((x \ y) \ 1) \ (y \ x) = (x \ y) * (y \ x). [hyper(236,a,2015,a(flip),b,2287,a(flip)),flip(a)]. given #2172 (H,wt=17): 2298 ((x \ y) \ 1) * ((x \ y) * (y \ x)) = y \ x. [para(2296(a,1),14(a,1,2))]. given #2173 (H,wt=21): 2279 T(K(x,y),(x * y) \ (y * x)) = T(K(x,y),K(x,y) \ 1). [para(95(a,1),2276(a,1,2,1))]. given #2174 (H,wt=17): 2299 T(K(x,y),K(x,y) \ 1) = T(K(x,y),K(y,x)). [para(26(a,2),2279(a,1,2)),flip(a)]. given #2175 (H,wt=15): 2300 T(K(x,y),K(y,x)) = (K(x,y) \ 1) \ 1. [hyper(375,a,2299,a),flip(a)]. given #2176 (H,wt=11): 2301 (K(x,y) \ 1) \ 1 = K(x,y). [hyper(236,a,2191,a(flip),b,2300,a(flip))]. given #2177 (H,wt=11): 2304 1 / (1 / K(x,y)) = K(x,y). [para(2301(a,1),139(a,1,2,2))]. given #2178 (H,wt=21): 2289 x * K((x \ y) \ 1,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2278(a,1),1247(a,1,2)),flip(a)]. given #2179 (H,wt=21): 2295 K((x * y) \ x,((x * y) \ x) \ 1) = K((x * y) \ x,y). [para(13(a,1),2282(a,2,2))]. given #2180 (H,wt=22): 2288 (x \ y) * (((y \ x) \ 1) \ 1) != z | (y \ x) * (x \ y) = z. [para(2278(a,1),220(a,1,2))]. given #2181 (H,wt=22): 2291 ((x * y) \ x) * z != (y \ 1) * (y * ((x * y) \ x)) | 1 = z. [para(2271(a,1),215(a,1,2)),flip(a)]. given #2182 (H,wt=23): 2297 ((x * y) \ x) * (x \ (x * y)) = y * ((((x * y) \ x) \ 1) \ 1). [para(13(a,1),2287(a,1,1)),flip(a)]. given #2183 (H,wt=19): 2306 x * ((((y * x) \ y) \ 1) \ 1) = ((y * x) \ y) * x. [para(13(a,1),2297(a,1,2)),flip(a)]. given #2184 (H,wt=24): 2292 L(x * ((y * x) \ y),x \ 1,y * x) = ((y * x) * (x \ 1)) \ y. [para(2271(a,1),227(a,1,1))]. given #2185 (H,wt=23): 2307 L(x * ((y * x) \ y),x \ 1,y * x) = R(y,x,x \ 1) \ y. [para(189(a,1),2292(a,2,1))]. given #2186 (H,wt=24): 2293 (x \ 1) * (x * ((y * x) \ y)) != z * u | z \ ((y * x) \ y) = u. [para(2271(a,1),367(a,1,2))]. given #2187 (H,wt=24): 2305 x * (((x \ y) \ 1) \ 1) != y * z | K((y \ x) \ 1,y \ x) = z. [para(2289(a,1),19(a,1))]. given #2188 (H,wt=25): 2272 T(x,x \ 1) \ ((y * (x \ 1)) \ y) = (x \ 1) * ((y * (x \ 1)) \ y). [hyper(17,a,311,a,b,2270,a),flip(a)]. given #2189 (H,wt=25): 2290 K(x \ (x / T(y \ x,x \ y)),x) = T(K(x \ y,x),(y \ x) \ 1). [para(2278(a,2),2064(a,2,1,2,2)),flip(a)]. given #2190 (H,wt=21): 2308 T(K(x \ y,x),(y \ x) \ 1) = T(K(x \ y,x),x \ y). [hyper(236,a,2063,a(flip),b,2290,a(flip))]. given #2191 (H,wt=25): 2309 T(K(x \ (x * y),x),x \ (x * y)) = T(K(y,x),((x * y) \ x) \ 1). [para(13(a,1),2308(a,1,1,1)),flip(a)]. given #2192 (H,wt=21): 2310 T(K(x,y),((y * x) \ y) \ 1) = T(K(x,y),y \ (y * x)). [para(13(a,1),2309(a,1,1,1)),flip(a)]. given #2193 (H,wt=17): 2311 T(K(x,y),((y * x) \ y) \ 1) = T(K(x,y),x). [para(13(a,1),2310(a,2,2))]. given #2194 (H,wt=30): 2274 L((x * ((y * x) \ y)) \ 1,x * ((y * x) \ y),x \ 1) = ((y * x) \ y) \ (x \ 1). [para(2270(a,1),158(a,2,1))]. given #2195 (H,wt=31): 1891 (x \ 1) * (((x \ 1) * L((x \ 1) \ 1,y,z)) * u) = (x \ L(x,y,z)) * ((x \ 1) * u). [para(1051(a,1),1890(a,1,1)),flip(a)]. given #2196 (H,wt=25): 2313 (x \ L(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ L(x,y,z)) * u). [para(1051(a,1),1891(a,1,2,1)),flip(a)]. given #2197 (H,wt=23): 2314 (x \ 1) * ((x \ L(x,y,z)) \ 1) = (x \ L(x,y,z)) \ (x \ 1). [hyper(72,a,56,a(flip),b,2313,a),flip(a)]. given #2198 (H,wt=26): 2315 (x \ L(x,y,z)) \ (x \ 1) != (x \ 1) * u | (x \ L(x,y,z)) \ 1 = u. [para(2314(a,1),19(a,1))]. given #2199 (H,wt=31): 1987 (x \ 1) * (((x \ 1) * R((x \ 1) \ 1,y,z)) * u) = (x \ R(x,y,z)) * ((x \ 1) * u). [para(1070(a,1),1986(a,1,1)),flip(a)]. given #2200 (H,wt=25): 2316 (x \ R(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ R(x,y,z)) * u). [para(1070(a,1),1987(a,1,2,1)),flip(a)]. given #2201 (H,wt=23): 2317 (x \ 1) * ((x \ R(x,y,z)) \ 1) = (x \ R(x,y,z)) \ (x \ 1). [hyper(72,a,56,a(flip),b,2316,a),flip(a)]. given #2202 (H,wt=31): 1999 x \ ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)) = (x * (y * T(y \ 1,x))) * (x \ 1). [para(1997(a,1),1264(a,1,1)),flip(a)]. given #2203 (H,wt=25): 2318 (x * (y * T(y \ 1,x))) * (x \ 1) = x \ (x * (y * T(y \ 1,x))). [para(1997(a,1),1999(a,1,2)),flip(a)]. given #2204 (H,wt=21): 2319 (x * (y * T(y \ 1,x))) * (x \ 1) = y * T(y \ 1,x). [hyper(236,a,13,a(flip),b,2318,a)]. given #2205 (H,wt=23): 2321 (x \ 1) * T((x \ 1) \ 1,y) = (y * (x \ T(x,y))) * (y \ 1). [para(927(a,1),2319(a,1,1,2)),flip(a)]. given #2206 (H,wt=17): 2323 (x * (y \ T(y,x))) * (x \ 1) = y \ T(y,x). [hyper(1032,a,2321,a),flip(a)]. given #2207 (H,wt=25): 2322 ((x * y) \ x) * T(((x * y) \ x) \ 1,x) = (x * K(y,x)) * (x \ 1). [para(1239(a,2),2319(a,1,1,2)),flip(a)]. given #2208 (H,wt=13): 2324 (x * K(y,x)) * (x \ 1) = K(y,x). [hyper(1241,a,2322,a),flip(a)]. given #2209 (H,wt=17): 2325 (1 / x) * K(y,1 / x) = K(y,1 / x) / x. [hyper(312,a,2324,a),flip(a)]. given #2210 (H,wt=31): 2000 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ 1 = y \ ((y * (x * T(x \ 1,y))) \ y). [para(1997(a,1),1271(a,1,2,1)),flip(a)]. given #2211 (H,wt=25): 2326 x \ ((x * (y * T(y \ 1,x))) \ x) = (x * (y * T(y \ 1,x))) \ 1. [para(1997(a,1),2000(a,1,1)),flip(a)]. given #2212 (H,wt=31): 2001 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = (1 / y) * (y * (x * T(x \ 1,y))). [para(1997(a,1),1318(a,1,2)),flip(a)]. given #2213 (H,wt=30): 2327 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = L(x * T(x \ 1,y),y,1 / y). [hyper(236,a,430,a(flip),b,2001,a)]. given #2214 (H,wt=24): 2328 L(x * T(x \ 1,y),y,1 / y) = (y * (x * T(x \ 1,y))) / y. [para(1997(a,1),2327(a,1,1)),flip(a)]. given #2215 (H,wt=28): 2329 (x * (((x * y) \ x) * T(((x * y) \ x) \ 1,x))) / x = L(K(y,x),x,1 / x). [para(1239(a,2),2328(a,1,1)),flip(a)]. given #2216 (H,wt=16): 2330 L(K(x,y),y,1 / y) = (y * K(x,y)) / y. [para(1239(a,2),2329(a,1,1,2)),flip(a)]. given #2217 (H,wt=31): 2025 (x * ((y * x) \ y)) * K(x \ 1,x) != z * x | (x \ 1) * (x * L(x \ 1,x,y)) = z. [para(2019(a,1),20(a,1))]. given #2218 (H,wt=31): 2171 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (((x / y) * y) \ (u * y))) / z). [hyper(303,a,2163,a),flip(a)]. given #2219 (H,wt=27): 2331 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (x \ (u * y))) / z). [para(16(a,1),2171(a,2,2,1,2,1))]. given #2220 (H,wt=27): 2332 (x * ((y * (x \ (z * u))) / y)) / u = (x / u) * ((y * ((x / u) \ z)) / y). [hyper(87,a,2331,a)]. given #2221 (H,wt=25): 2333 (x / y) * ((z * ((x / y) \ 1)) / z) = (x * ((z * (x \ y)) / z)) / y. [para(11(a,1),2332(a,1,1,2,1,2,2)),flip(a)]. given #2222 (H,wt=31): 2215 (T(x,y) \ x) * T(T(1 / x,T(x,y) \ x),x) = ((T(x,y) \ x) / x) * K(x \ 1,x). [para(2208(a,1),1038(a,2,2,1)),flip(a)]. given #2223 (H,wt=29): 2335 (T(x,y) \ x) * T(x \ 1,T(x,y) \ x) = ((T(x,y) \ x) / x) * K(x \ 1,x). [para(183(a,1),2215(a,1,2))]. given #2224 (H,wt=23): 2336 ((T(x,y) \ x) / x) * K(x \ 1,x) = (x \ 1) * (T(x,y) \ x). [hyper(220,a,2335,a),flip(a)]. given #2225 (H,wt=26): 2337 ((T(x,y) \ x) / x) * K(x \ 1,x) != z | (x \ 1) * (T(x,y) \ x) = z. [para(2335(a,1),220(a,1))]. given #2226 (H,wt=31): 2237 x * (((L(y,1 / y,x) * x) / L(y,1 / y,x)) \ z) = (x * (T(y,x) / y)) \ (x * z). [para(2236(a,1),1267(a,1,1)),flip(a)]. given #2227 (H,wt=23): 2338 (x * (T(y,x) / y)) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(2236(a,1),2237(a,1,2,1)),flip(a)]. given #2228 (H,wt=31): 2253 K(x \ 1,x) * L(T(y,K(x \ 1,x)),x,1 / x) = L(y * K(x \ 1,x),x,1 / x). [para(119(a,1),2252(a,1,1)),flip(a)]. given #2229 (H,wt=25): 2339 L(x * K(y \ 1,y),y,1 / y) = L(x,y,1 / y) * K(y \ 1,y). [hyper(369,a,2253,a),flip(a)]. given #2230 (H,wt=31): 2254 K(x \ 1,x) * T(K(x \ 1,x) \ y,z) = (x \ 1) * (x * T(x \ ((x \ 1) \ y),z)). [para(187(a,2),958(a,1,2,1,1))]. given #2231 (H,wt=27): 2340 K(x \ 1,x) * T(K(x \ 1,x) \ y,z) = (x \ T(x * (y / x),z)) * x. [hyper(236,a,1421,a(flip),b,2254,a)]. given #2232 (H,wt=31): 2263 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [para(1770(a,2),1778(a,1,2,1,1))]. given #2233 (H,wt=27): 2341 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * (T((x \ y) * x,z) / x). [para(1590(a,1),2263(a,2,2))]. given #2234 (H,wt=19): 2342 K(x,x \ 1) * T(K(x,x \ 1) \ y,x) = T(y,x). [hyper(236,a,1353,a(flip),b,2341,a)]. given #2235 (H,wt=19): 2343 T(x * K(y,y \ 1),y) = T(x,y) * K(y,y \ 1). [hyper(706,a,2342,a),flip(a)]. given #2236 (H,wt=21): 2344 T((x / y) * K(y,y \ 1),y) = (y \ x) * K(y,y \ 1). [para(121(a,1),2343(a,2,1))]. given #2237 (H,wt=19): 2345 x \ (y * K(x,x \ 1)) = (x \ y) * K(x,x \ 1). [hyper(1843,a,2344,a)]. given #2238 (H,wt=19): 2347 x * ((x \ y) * K(x,x \ 1)) = y * K(x,x \ 1). [para(2345(a,1),14(a,1,2))]. given #2239 (H,wt=19): 2350 (x * y) * K(x,x \ 1) = x * (y * K(x,x \ 1)). [para(13(a,1),2347(a,1,2,1)),flip(a)]. given #2240 (H,wt=10): 2351 R(x,y,K(x,x \ 1)) = x. [hyper(467,a,2350,a)]. given #2241 (H,wt=14): 2353 R(T(x,y),z,K(x,x \ 1)) = T(x,y). [para(2351(a,1),42(a,2,1))]. given #2242 (H,wt=13): 2354 T(x,y * K(x,x \ 1)) = T(x,y). [hyper(236,a,1842,a(flip),b,2353,a(flip))]. given #2243 (H,wt=21): 2349 (x \ L(x,y,z)) * K(x,x \ 1) = L(x,y,z) * (1 / x). [hyper(17,a,1779,a(flip),b,2347,a)]. given #2244 (H,wt=24): 2346 T((x / y) * K(y,y \ 1),y) != z * K(y,y \ 1) | y \ x = z. [para(2344(a,2),20(a,1))]. given #2245 (H,wt=27): 2348 ((1 / x) \ y) * K(1 / x,(1 / x) \ 1) = (1 / x) \ (y * K(1 / x,x)). [para(65(a,1),2345(a,1,2,2,2)),flip(a)]. given #2246 (H,wt=27): 2352 (1 / x) * (y * K(1 / x,(1 / x) \ 1)) = ((1 / x) * y) * K(x \ 1,x). [para(1800(a,1),2350(a,1,2)),flip(a)]. given #2247 (H,wt=30): 2356 (1 / x) \ (L(y,x,1 / x) * K(1 / x,x)) = (x * y) * K(1 / x,(1 / x) \ 1). [para(435(a,1),2348(a,1,1)),flip(a)]. given #2248 (H,wt=30): 2358 (1 / x) \ (L(y,x,1 / x) * K(x \ 1,x)) = (x * y) * K(1 / x,(1 / x) \ 1). [para(1801(a,1),2356(a,1,2,2))]. given #2249 (H,wt=30): 2359 (1 / x) \ L(y * K(x \ 1,x),x,1 / x) = (x * y) * K(1 / x,(1 / x) \ 1). [para(2339(a,2),2358(a,1,2))]. given #2250 (H,wt=23): 2360 (x * y) * K(1 / x,(1 / x) \ 1) = x * (y * K(x \ 1,x)). [hyper(574,a,2359,a),flip(a)]. given #2251 (H,wt=19): 2361 (x * y) * K(x \ 1,x) = x * (y * K(x \ 1,x)). [para(1800(a,1),2360(a,1,2))]. given #2252 (H,wt=10): 2362 R(x,y,K(x \ 1,x)) = x. [hyper(467,a,2361,a)]. given #2253 (H,wt=14): 2364 R(T(x,y),z,K(x \ 1,x)) = T(x,y). [para(2362(a,1),42(a,2,1))]. given #2254 (H,wt=21): 2365 (T(x,y) \ 1) * K(x \ 1,x) = T(x,y) \ K(x \ 1,x). [para(2364(a,1),387(a,1,1)),flip(a)]. given #2255 (H,wt=25): 2363 x * ((T(x,y) \ 1) * K(x \ 1,x)) = (T(x,y) \ x) * K(x \ 1,x). [para(1004(a,1),2361(a,1,1)),flip(a)]. given #2256 (H,wt=23): 2366 (T(x,y) \ x) * K(x \ 1,x) = x * (T(x,y) \ K(x \ 1,x)). [para(2365(a,1),2363(a,1,2)),flip(a)]. given #2257 (H,wt=21): 2367 (T(x,y) \ x) * K(x \ 1,x) = T(x,y) \ (1 / (1 / x)). [hyper(236,a,1749,a(flip),b,2366,a)]. given #2258 (H,wt=31): 2334 ((x * y) * ((y * ((x * y) \ x)) / y)) / x = ((x * y) / x) * ((((x * y) / x) \ y) / y). [para(1268(a,1),2333(a,1,2,1)),flip(a)]. given #2259 (H,wt=28): 2368 ((x * y) / x) * ((((x * y) / x) \ y) / y) = ((x * y) * L(1 / y,y,x)) / x. [para(800(a,1),2334(a,1,1,2)),flip(a)]. given #2260 (H,wt=25): 2369 ((x * y) / x) * ((((x * y) / x) \ y) / y) = (x * (y * (1 / y))) / x. [para(103(a,1),2368(a,2,1))]. given #2261 (H,wt=25): 2370 ((x * y) / x) * ((((x * y) / x) \ y) / y) = (x * K(y,y \ 1)) / x. [para(1770(a,2),2369(a,2,1,2))]. given #2262 (H,wt=19): 2371 K(x,1 / ((y * x) / y)) = (y * K(x,x \ 1)) / y. [hyper(236,a,1645,a(flip),b,2370,a(flip)),flip(a)]. given #2263 (H,wt=23): 2372 (x * K(x \ y,(x \ y) \ 1)) / x = K(x \ y,1 / (y / x)). [para(14(a,1),2371(a,1,2,2,1)),flip(a)]. given #2264 (H,wt=21): 2373 (x * K(x \ y,y \ x)) / x = K(x \ y,1 / (y / x)). [para(2282(a,1),2372(a,1,1,2))]. given #2265 (H,wt=32): 696 (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(254(a,1),405(a,1,1,1)),flip(a)]. given #2266 (H,wt=27): 2374 (x * K(x,y)) * T((x * K(x,y)) \ (x * y),z) = (T(y,z) * x) * K(x,y). [hyper(236,a,470,a(flip),b,696,a)]. given #2267 (H,wt=23): 2375 x * (K(x,y) * T(K(x,y) \ y,z)) = (T(y,z) * x) * K(x,y). [hyper(862,a,2374,a)]. given #2268 (H,wt=23): 2376 (T(x,K(y,x)) * y) * K(y,x) = y * ((K(y,x) \ x) * K(y,x)). [hyper(535,a,2375,a),flip(a)]. given #2269 (H,wt=32): 993 (x * T(x \ 1,y)) * z != (u * x) * T((u * x) \ u,y) | T(u,x * T(x \ 1,y)) = z. [para(703(a,2),169(a,2))]. given #2270 (H,wt=32): 1096 T((x * y) / x,K(x \ (x / (((x * y) / x) \ 1)),x)) != z | (((x * y) / x) \ y) \ y = z. [para(1047(a,2),375(a,1,2))]. given #2271 (H,wt=32): 1252 (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u). [para(28(a,2),1248(a,2,2,1,2,2))]. given #2272 (H,wt=28): 2377 (x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)). [hyper(862,a,1252,a),flip(a)]. given #2273 (H,wt=26): 2378 (x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))). [para(703(a,1),2377(a,2,2))]. given #2274 (H,wt=21): 2379 L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y). [hyper(436,a,2378,a)]. given #2275 (H,wt=21): 2382 L(x \ T(x,y),z,u) = K(y \ (y / L(x \ 1,z,u)),y). [para(927(a,1),2379(a,1,1))]. given #2276 (H,wt=24): 2381 L(x,y,z) * T(L(x,y,z) \ 1,u) = L(x * T(x \ 1,u),y,z). [hyper(236,a,1040,a(flip),b,2379,a),flip(a)]. given #2277 (H,wt=26): 2384 L(x \ T(x,(y * x) \ y),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(346(a,1),2382(a,2,1,2))]. given #2278 (H,wt=26): 2386 L(T(K(x,(y * x) \ y),x),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(2116(a,1),2384(a,1,1))]. given #2279 (H,wt=28): 2385 L(x * T(x \ 1,L(x,y,z)),y,z) != u | K(L(x,y,z) \ 1,L(x,y,z)) = u. [para(2381(a,1),538(a,1))]. given #2280 (H,wt=29): 2380 (x * y) * (L(z,y,x) * T(L(z,y,x) \ 1,u)) = x * (y * (z * T(z \ 1,u))). [para(1040(a,1),2378(a,1,2))]. given #2281 (H,wt=32): 1280 ((x * y) / x) * (y \ ((((x * y) / x) \ y) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [hyper(722,a,1263,a),flip(a)]. given #2282 (H,wt=32): 1409 K(x \ (x / R(y,z,u)),x) = (((y * z) * u) * T(((y * z) * u) \ (z * u),x)) / (z * u). [para(30(a,2),1406(a,1,1,2,2))]. given #2283 (H,wt=28): 2387 K(x \ (x / R(y,z,u)),x) = (((y * z) * T((y * z) \ z,x)) * u) / (z * u). [para(1320(a,1),1409(a,2,1))]. given #2284 (H,wt=26): 2388 K(x \ (x / R(y,z,u)),x) = (((y * T(y \ 1,x)) * z) * u) / (z * u). [para(1347(a,1),2387(a,2,1,1))]. given #2285 (H,wt=21): 2389 R(x * T(x \ 1,y),z,u) = K(y \ (y / R(x,z,u)),y). [hyper(236,a,30,a,b,2388,a),flip(a)]. given #2286 (H,wt=24): 2390 K(x \ (x / R(y,z,u)),x) != w | R(y * T(y \ 1,x),z,u) = w. [para(2388(a,2),475(a,1))]. given #2287 (H,wt=24): 2391 R(x,y,z) * T(R(x,y,z) \ 1,u) = R(x * T(x \ 1,u),y,z). [hyper(236,a,1040,a(flip),b,2389,a),flip(a)]. given #2288 (H,wt=25): 2392 R(x * T(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [para(59(a,1),2389(a,2,1,2))]. given #2289 (H,wt=25): 2395 R(x * T(x \ 1,R(x,y,z)),y,z) = (R(x,y,z) \ 1) * R(x,y,z). [hyper(220,a,2391,a),flip(a)]. given #2290 (H,wt=27): 2394 R(x,y,z) * T(R(x,y,z) \ 1,u) != w | R(x * T(x \ 1,u),y,z) = w. [para(1040(a,1),2390(a,1))]. given #2291 (H,wt=28): 2396 R(x * T(x \ 1,R(x,y,z)),y,z) != u * R(x,y,z) | R(x,y,z) \ 1 = u. [para(2391(a,1),172(a,1)),flip(b)]. given #2292 (H,wt=32): 1485 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(1482(a,1),663(a,1,2))]. given #2293 (H,wt=25): 2397 (L(x,y,z) * (1 / x)) / L(x,y,z) = L(1 / x,L(x,y,z),1 / x). [hyper(236,a,1694,a(flip),b,1485,a(flip)),flip(a)]. given #2294 (H,wt=29): 2399 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = L(1 / x,L(x,y,z),1 / x) * x. [para(2397(a,1),825(a,1,1)),flip(a)]. given #2295 (H,wt=29): 2400 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = x * L(x \ 1,L(x,y,z),1 / x). [hyper(236,a,610,a(flip),b,2399,a)]. given #2296 (H,wt=22): 2401 x * L(x \ 1,L(x,y,z),1 / x) = K(L(x,y,z),1 / x). [hyper(236,a,1552,a(flip),b,2400,a(flip))]. given #2297 (H,wt=32): 1912 (x * y) * R((x * y) \ (z * y),u,w) != v5 * v6 | v5 \ ((x * R(x \ z,u,w)) * y) = v6. [para(1904(a,2),545(a,1))]. given #2298 (H,wt=32): 2033 (x / y) * (y * L(y \ ((x / y) \ z),u,w)) != v5 * v6 | (x * L(x \ z,u,w)) / v6 = v5. [para(2031(a,2),555(a,1))]. given #2299 (H,wt=32): 2177 (x * y) * ((z * ((x * y) \ (u * y))) / z) != y * w | T(x * ((z * (x \ u)) / z),y) = w. [para(2163(a,2),169(a,2)),flip(a)]. given #2300 (H,wt=33): 888 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(72,a,91,a(flip),b,614,a),flip(a)]. given #2301 (H,wt=33): 968 K(x \ 1,x) * L(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(510(a,1),446(a,1,2))]. given #2302 (H,wt=33): 1112 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(1110(a,1),1043(a,1,1,2))]. given #2303 (H,wt=26): 2403 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),1112(a,1,1))]. given #2304 (H,wt=25): 2404 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = x \ T(x,y / (x * y)). [para(2021(a,1),2403(a,2,2))]. given #2305 (H,wt=33): 1134 (R(x,y,z * u) * (y * z)) \ ((x * y) * (z * u)) = L(L(u,z,y),y * z,R(x,y,z * u)). [para(113(a,1),440(a,1,2))]. given #2306 (H,wt=33): 1218 (x \ y) \ L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). [para(855(a,1),1207(a,1,1)),flip(a)]. given #2307 (H,wt=31): 2405 L(1 / (x \ y),x \ y,x) * ((y \ x) \ 1) = (y \ x) \ L(1 / (x \ y),x \ y,x). [para(855(a,1),1218(a,1,2)),flip(a)]. given #2308 (H,wt=33): 1226 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(1211(a,2),1107(a,1,2))]. given #2309 (H,wt=30): 2406 T(L(x * T(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(2381(a,1),1226(a,1,1))]. given #2310 (H,wt=28): 2407 T(L(K(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(272(a,1),2406(a,1,1,1))]. given #2311 (H,wt=26): 2408 T(L(K(x \ 1,x),y,z),L(x,y,z) \ x) = K(x \ (L(x,y,z) \ x),x). [para(1211(a,1),2407(a,1,2))]. given #2312 (H,wt=26): 2409 L(T(K(x \ 1,x),L(x,y,z) \ x),y,z) = K(x \ (L(x,y,z) \ x),x). [hyper(236,a,40,a,b,2408,a(flip)),flip(a)]. given #2313 (H,wt=24): 2410 L(T(K(x \ 1,x),L(x,y,z) \ x),y,z) = K(L(x,y,z) \ 1,x). [para(1219(a,1),2409(a,2,1))]. given #2314 (H,wt=33): 1244 (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = ((x * y) \ x) * T(((x * y) \ x) \ 1,x). [para(1240(a,1),944(a,1,1))]. given #2315 (H,wt=21): 2411 (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = K(y,x). [hyper(236,a,1239,a,b,1244,a)]. given #2316 (H,wt=29): 2412 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = T(K(y,x),((x * y) \ x) \ 1). [para(2411(a,1),121(a,1,1)),flip(a)]. given #2317 (H,wt=23): 2414 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = T(K(y,x),y). [hyper(236,a,2311,a(flip),b,2412,a)]. given #2318 (H,wt=32): 2413 T(K(x,y),((y * x) \ y) \ 1) != z | (((y * x) \ y) \ 1) \ (((y * x) \ y) \ K(x,y)) = z. [para(2411(a,1),280(a,1,1))]. given #2319 (H,wt=26): 2415 T(K(x,y),x) != z | (((y * x) \ y) \ 1) \ (((y * x) \ y) \ K(x,y)) = z. [para(2311(a,1),2413(a,1))]. given #2320 (H,wt=33): 1477 K(x \ 1,x) * R(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(187(a,2),954(a,1,1))]. given #2321 (H,wt=33): 1938 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(1923(a,1),731(a,1,1,2))]. given #2322 (H,wt=32): 2417 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(1476(a,1),1938(a,1,1))]. given #2323 (H,wt=33): 2118 (x \ ((y \ x) * z)) * R((x \ ((y \ x) * z)) \ z,u,w) = x \ ((R(y,u,w) * (y \ x)) * z). [para(621(a,1),1908(a,2,2,1))]. given #2324 (H,wt=31): 2418 K(x \ y,x) * R((y \ ((x \ y) * x)) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(96(a,1),2118(a,1,1))]. given #2325 (H,wt=29): 2419 K(x \ y,x) * R(K(x \ y,x) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(96(a,1),2418(a,1,2,1,1))]. given #2326 (H,wt=33): 2183 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((z * ((x * (z \ 1)) / x)) * (x \ y)). [para(2175(a,1),2167(a,1,2)),flip(a)]. given #2327 (H,wt=33): 2357 (1 / x) * ((T(x,y) \ x) * K(1 / x,(1 / x) \ 1)) = ((T(x,y) \ x) / x) * K(x \ 1,x). [para(2205(a,1),2352(a,2,1))]. given #2328 (H,wt=29): 2420 (1 / x) * ((T(x,y) \ x) * K(1 / x,(1 / x) \ 1)) = (x \ 1) * (T(x,y) \ x). [hyper(236,a,2336,a(flip),b,2357,a)]. given #2329 (H,wt=25): 2421 (1 / x) * ((T(x,y) \ x) * K(x \ 1,x)) = (x \ 1) * (T(x,y) \ x). [para(1800(a,1),2420(a,1,2,2))]. given #2330 (H,wt=23): 2422 (1 / x) * (T(x,y) \ (1 / (1 / x))) = (x \ 1) * (T(x,y) \ x). [para(2367(a,1),2421(a,1,2))]. given #2331 (H,wt=33): 2402 K(x \ 1,x) * L(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(187(a,2),968(a,1,2,1,1))]. given #2332 (H,wt=33): 2416 K(x \ 1,x) * R(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(187(a,2),1477(a,1,2,1,1))]. given #2333 (H,wt=33): 2423 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * L((x \ 1) \ y,z,u)) * x. [hyper(236,a,1679,a(flip),b,2402,a)]. given #2334 (H,wt=29): 2425 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(962(a,1),2423(a,2,1))]. given #2335 (H,wt=33): 2424 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * R((x \ 1) \ y,z,u)) * x. [hyper(236,a,1905,a(flip),b,2416,a)]. given #2336 (H,wt=29): 2426 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(971(a,1),2424(a,2,1))]. given #2337 (H,wt=34): 810 (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(254(a,1),618(a,1,1,1)),flip(a)]. given #2338 (H,wt=29): 2427 (x * K(x,y)) * R((x * K(x,y)) \ (x * y),z,u) = (R(y,z,u) * x) * K(x,y). [hyper(236,a,472,a(flip),b,810,a)]. given #2339 (H,wt=25): 2428 x * (K(x,y) * R(K(x,y) \ y,z,u)) = (R(y,z,u) * x) * K(x,y). [hyper(1136,a,2427,a)]. given #2340 (H,wt=28): 2429 x * (K(x,y) * R(K(x,y) \ y,y \ 1,y)) = (T(y,y \ 1) * x) * K(x,y). [para(1371(a,1),2428(a,2,1,1))]. given #2341 (H,wt=34): 961 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(930(a,1),497(a,1,1,1))]. given #2342 (H,wt=34): 1964 R(x,y,z) * (z * R(z \ (y * z),u,w)) = (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z. [para(143(a,1),1905(a,1,2,2,1,2))]. given #2343 (H,wt=32): 2430 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (z * R(T(y,z),u,w)). [para(32(a,2),1964(a,1,2,2,1)),flip(a)]. given #2344 (H,wt=30): 2431 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (R(y,u,w) * z). [para(182(a,1),2430(a,2,2))]. given #2345 (H,wt=35): 1076 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(1071(a,1),635(a,1,1,2)),flip(a)]. given #2346 (H,wt=35): 1137 (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(852(a,2),169(a,2))]. given #2347 (H,wt=35): 1200 (x * R(x \ 1,y,z)) * u != (w * x) * R((w * x) \ w,y,z) | T(w,x * R(x \ 1,y,z)) = u. [para(953(a,2),169(a,2))]. given #2348 (H,wt=35): 1216 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(1207(a,1),635(a,1,1,2)),flip(a)]. given #2349 (H,wt=35): 1883 ((x \ y) / y) * R(((x \ y) / y) \ (((x \ y) / y) * x),z,u) = R(x,z,u) / (((x \ y) / y) \ 1). [para(1882(a,1),1111(a,1,2,1,2))]. given #2350 (H,wt=23): 2432 R(x,y,z) / (((x \ u) / u) \ 1) = ((x \ u) / u) * R(x,y,z). [para(13(a,1),1883(a,1,2,1)),flip(a)]. given #2351 (H,wt=35): 2027 (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(1208(a,1),608(a,1,1))]. given #2352 (H,wt=31): 2433 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),2027(a,1,2,1)),flip(a)]. given #2353 (H,wt=35): 2160 ((((x * y) / ((z * x) * y)) \ 1) \ 1) * ((z * x) * y) = ((R(z,x,y) \ 1) * R(z,x,y)) * (x * y). [para(2150(a,1),480(a,1,1))]. given #2354 (H,wt=35): 2262 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(1592(a,2),1699(a,2,2,1))]. given #2355 (H,wt=31): 2435 T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [hyper(236,a,1699,a(flip),b,2262,a(flip))]. given #2356 (H,wt=27): 2436 T(x,y) * (T(1 / (1 / x),y) \ 1) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(2083(a,1),2435(a,1,2))]. given #2357 (H,wt=25): 2437 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(1 / (1 / x),y) \ T(x,y). [hyper(236,a,2048,a(flip),b,2436,a(flip))]. given #2358 (H,wt=35): 2383 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),2382(a,2,1,2))]. given #2359 (H,wt=26): 2438 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(x \ x,y,z). [para(1686(a,1),2383(a,1,1,2)),flip(a)]. given #2360 (H,wt=24): 2439 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(1,y,z). [para(52(a,1),2438(a,2,1))]. given #2361 (H,wt=21): 2440 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = 1. [hyper(236,a,329,a(flip),b,2439,a)]. given #2362 (H,wt=23): 2443 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x * 1. [para(2440(a,1),249(a,1,2)),flip(a)]. given #2363 (H,wt=21): 2444 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x. [hyper(236,a,12,a(flip),b,2443,a)]. given #2364 (H,wt=24): 2445 x * (y * L(y \ 1,z,u)) != y | (y * L(y \ 1,z,u)) \ y = x. [para(2444(a,1),20(a,1)),flip(a)]. given #2365 (H,wt=36): 1556 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(1071(a,1),1548(a,2,2,1))]. given #2366 (H,wt=34): 2446 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(1937(a,1),1556(a,1,2,1))]. given #2367 (H,wt=24): 2447 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [para(15(a,1),2446(a,1,2)),flip(a)]. given #2368 (H,wt=24): 2448 (x \ R(x,y,z)) / R(x,y,z) = (x \ 1) * K(R(x,y,z),x \ 1). [para(2447(a,1),14(a,1,2)),flip(a)]. given #2369 (H,wt=27): 2450 (x \ 1) * K(R(x,y,z),x \ 1) != u | (x \ R(x,y,z)) / R(x,y,z) = u. [para(2447(a,1),216(a,1,2)),flip(b)]. given #2370 (H,wt=27): 2451 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) != u | K(R(x,y,z),x \ 1) = u. [para(2448(a,2),283(a,1,2)),flip(b)]. given #2371 (H,wt=37): 1097 K((x / y) \ ((x / y) / (T(x / (x / y),z) \ 1)),x / y) = (((x / y) * T(y,z)) / (x / y)) \ T(y,z). [para(416(a,1),1047(a,1,1,2,2,1))]. given #2372 (H,wt=35): 2452 K((1 / x) \ ((1 / x) * T((1 / x) \ 1,y)),1 / x) = (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y). [para(2082(a,1),1097(a,1,1,2))]. given #2373 (H,wt=29): 2453 (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K((1 / x) \ (T(x,y) / x),1 / x). [para(1591(a,1),2452(a,1,1,2)),flip(a)]. given #2374 (H,wt=23): 2454 (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K(T(x,y),1 / x). [para(1159(a,1),2453(a,2,1))]. given #2375 (H,wt=19): 2455 T(1 / (1 / x),y) \ T(x,y) = K(T(x,y),1 / x). [para(416(a,1),2454(a,1,1))]. given #2376 (H,wt=37): 1530 (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(1071(a,1),1527(a,1,1,2,1))]. given #2377 (H,wt=37): 1565 (x * (y * z)) \ ((x * y) * R(L(z,y,x),u,u \ 1)) = L(a(L(z,y,x),u,u \ 1),L(z,y,x),x * y). [para(689(a,1),439(a,1,2,2))]. given #2378 (H,wt=34): 2456 L(a(L(x,y,z),u,u \ 1),L(x,y,z),z * y) = (z * (y * x)) \ (z * (y * R(x,u,u \ 1))). [para(443(a,1),1565(a,1,2)),flip(a)]. given #2379 (H,wt=37): 2016 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (((y \ x) * (x \ y)) / (y \ x)) * ((x \ y) \ 1). [para(2015(a,1),826(a,1,2,1))]. given #2380 (H,wt=36): 2457 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). [para(804(a,1),2016(a,2,1))]. given #2381 (H,wt=34): 2458 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (x \ y) \ L(1 / (y \ x),y \ x,y). [hyper(236,a,2405,a(flip),b,2457,a)]. given #2382 (H,wt=37): 2017 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((y \ x) / ((x \ y) \ 1)) / (y \ x)). [para(2015(a,1),1546(a,2,2,1)),flip(a)]. given #2383 (H,wt=35): 2459 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((x \ y) * (y \ x)) / (y \ x)). [para(1457(a,1),2017(a,2,2,1))]. given #2384 (H,wt=27): 2460 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,x \ y). [para(15(a,1),2459(a,2,2))]. given #2385 (H,wt=22): 2461 (x \ y) \ L(1 / (y \ x),y \ x,y) = K(y \ x,x \ y). [hyper(236,a,2458,a(flip),b,2460,a(flip)),flip(a)]. given #2386 (H,wt=22): 2463 (x \ y) * K(y \ x,x \ y) = L(1 / (y \ x),y \ x,y). [para(2461(a,1),14(a,1,2))]. given #2387 (H,wt=37): 2203 T(x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)),z) = T(x,z) * ((T(x,y) * (T(x,z) \ 1)) / T(x,y)). [para(407(a,2),2184(a,2,1,2,1)),flip(a)]. given #2388 (H,wt=35): 2464 T(x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)),z) = T(x,z) * ((T(x,z) \ T(x,y)) / T(x,y)). [para(1027(a,1),2203(a,2,2,1))]. given #2389 (H,wt=25): 2465 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = T(K(T(x,z),1 / x),y). [para(1561(a,1),2464(a,1,1)),flip(a)]. given #2390 (H,wt=19): 2466 K(T(x,y),1 / T(x,z)) = T(K(T(x,y),1 / x),z). [hyper(236,a,1646,a(flip),b,2465,a(flip)),flip(a)]. given #2391 (H,wt=19): 2467 K(T(x,y),T(x,y) \ 1) = T(K(T(x,y),1 / x),y). [hyper(1784,a,2466,a)]. given #2392 (H,wt=22): 2468 T(K(T(x,y),1 / x),y) != z | K(T(x,y),T(x,y) \ 1) = z. [para(2466(a,1),1784(a,1))]. given #2393 (H,wt=23): 2469 T(x,y) * ((T(x,y) / x) \ (1 / x)) = K(T(x,y),T(x,y) \ 1). [hyper(236,a,2101,a,b,2467,a),flip(a)]. given #2394 (H,wt=15): 2471 (T(x,y) / x) \ (1 / x) = 1 / T(x,y). [hyper(17,a,1770,a(flip),b,2469,a)]. given #2395 (H,wt=26): 2470 T(x,y) * ((T(x,y) / x) \ (1 / x)) != z | K(T(x,y),T(x,y) \ 1) = z. [para(2101(a,2),2468(a,1))]. given #2396 (H,wt=24): 2473 T(1 / (1 / x),y) \ T(x,y) != z | K(T(x,y),T(x,y) \ 1) = z. [para(2437(a,1),2470(a,1))]. given #2397 (H,wt=17): 2474 K(T(x,y),T(x,y) \ 1) = K(T(x,y),1 / x). [hyper(2473,a,2455,a)]. given #2398 (H,wt=27): 2472 (T(T(x,x \ 1),y) / T(x,x \ 1)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(197(a,1),2471(a,1,2))]. given #2399 (H,wt=19): 2475 (x \ T(x,y)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(1195(a,1),2472(a,1,1))]. given #2400 (H,wt=15): 2476 1 / T(T(x,x \ 1),y) = T(x,y) \ 1. [hyper(236,a,2075,a(flip),b,2475,a(flip))]. given #2401 (H,wt=15): 2477 1 / T((x \ 1) \ 1,y) = T(x,y) \ 1. [para(120(a,1),2476(a,1,2,1))]. given #2402 (H,wt=15): 2478 T(1 / (1 / x),y) \ 1 = 1 / T(x,y). [para(270(a,1),2476(a,1,2,1)),flip(a)]. given #2403 (H,wt=15): 2479 (T(x,y) \ 1) \ 1 = T((x \ 1) \ 1,y). [para(2477(a,1),65(a,1,1))]. given #2404 (H,wt=15): 2480 1 / T(x \ 1,y) = T(1 / x,y) \ 1. [para(65(a,1),2477(a,1,2,1,1))]. given #2405 (H,wt=15): 2481 1 / T(K(x,y),z) = T(K(x,y),z) \ 1. [para(2301(a,1),2477(a,1,2,1))]. given #2406 (H,wt=15): 2482 1 / (1 / T(x,y)) = T(1 / (1 / x),y). [para(2478(a,1),62(a,1,2))]. given #2407 (H,wt=15): 2483 (T(1 / x,y) \ 1) \ 1 = T(x \ 1,y). [para(65(a,1),2479(a,2,1,1))]. given #2408 (H,wt=17): 2484 x * ((T(y,x) \ 1) \ 1) = ((y \ 1) \ 1) * x. [para(2479(a,2),119(a,1,2))]. given #2409 (H,wt=13): 2491 T(x,T(x,y) \ 1) = (x \ 1) \ 1. [hyper(705,a,2484,a)]. given #2410 (H,wt=13): 2496 T(x,T(x,y) \ 1) = T(x,x \ 1). [hyper(236,a,120,a,b,2491,a)]. given #2411 (H,wt=15): 2495 T(x,T(x,y) \ 1) = x * K(x,x \ 1). [hyper(236,a,1822,a,b,2491,a)]. given #2412 (H,wt=13): 2497 T(K(x,x \ 1),y) = K(x,x \ 1). [hyper(2211,a,2495,a)]. given #2413 (H,wt=9): 2498 T(x,K(y,y \ 1)) = x. [hyper(35,a,2497,a)]. given #2414 (H,wt=9): 2508 T(x,K(y,1 / y)) = x. [para(1767(a,2),2498(a,1,2))]. given #2415 (H,wt=9): 2509 T(x,K(y \ 1,y)) = x. [para(1772(a,1),2498(a,1,2))]. given #2416 (H,wt=11): 2510 T(x,K(y \ z,z \ y)) = x. [para(2282(a,1),2498(a,1,2))]. given #2417 (H,wt=13): 2517 T(K(x \ 1,x),y) = K(x \ 1,x). [hyper(35,a,2509,a)]. given #2418 (H,wt=13): 2527 T((x \ 1) * x,y) = K(x \ 1,x). [para(187(a,1),2517(a,1,1))]. given #2419 (H,wt=15): 2500 K(x,x \ 1) * y = y * K(x,x \ 1). [para(2497(a,1),119(a,1,2)),flip(a)]. given #2420 (H,wt=13): 2531 (1 / (1 / x)) * K(x,x \ 1) = x. [hyper(1790,a,2500,a)]. given #2421 (H,wt=15): 2503 T(K(x,(y * x) \ y),z) = K(x,x \ 1). [para(2280(a,2),2497(a,1,1))]. given #2422 (H,wt=15): 2512 K(x,1 / x) * y = y * K(x,1 / x). [hyper(2261,a,2508,a),flip(a)]. given #2423 (H,wt=15): 2516 K(x \ 1,x) * y = y * K(x \ 1,x). [hyper(2261,a,2509,a),flip(a)]. given #2424 (H,wt=13): 2540 K(x \ 1,x) * x = 1 / (1 / x). [hyper(236,a,1738,a(flip),b,2516,a)]. given #2425 (H,wt=15): 2518 (x * K(y \ 1,y)) / x = K(y \ 1,y). [para(2509(a,1),138(a,1,2))]. given #2426 (H,wt=15): 2526 K(x \ (x / T(x,y)),x) = K(x \ 1,x). [hyper(236,a,2059,a,b,2517,a(flip)),flip(a)]. given #2427 (H,wt=17): 2485 T(((x / y) \ 1) \ 1,y) = ((y \ x) \ 1) \ 1. [para(121(a,1),2479(a,1,1,1)),flip(a)]. given #2428 (H,wt=17): 2489 T(1 / (1 / (x / y)),y) = 1 / (1 / (y \ x)). [para(121(a,1),2482(a,1,2,2)),flip(a)]. given #2429 (H,wt=17): 2494 (T(x,y) \ 1) \ (T(x,y) \ x) = (x \ 1) \ 1. [hyper(1013,a,2491,a)]. given #2430 (H,wt=17): 2499 T(x,y) \ K(x,x \ 1) = (T(x,y) \ x) / x. [hyper(72,a,2497,a(flip),b,2207,a)]. given #2431 (H,wt=17): 2530 L(K(x \ 1,x),y,z) = K(L(x,y,z) \ 1,x). [para(2517(a,1),2410(a,1,1))]. given #2432 (H,wt=17): 2548 K(x \ 1,x) / T(x,y) = T(1 / T(x,y),x). [para(2526(a,1),1044(a,1,1))]. given #2433 (H,wt=17): 2549 x * K(x \ (x / T(x,y)),x) = 1 / (1 / x). [para(2526(a,2),1738(a,1,2))]. given #2434 (H,wt=17): 2554 (T(x,y) \ 1) * ((x \ 1) \ 1) = T(x,y) \ x. [para(2494(a,1),14(a,1,2))]. given #2435 (H,wt=17): 2558 T(x,y) \ (1 / (1 / x)) = (T(x,y) \ 1) * x. [hyper(72,a,2549,a(flip),b,1045,a)]. given #2436 (H,wt=18): 2501 x * K(y,y \ 1) != z * x | K(y,y \ 1) = z. [para(2497(a,1),172(a,1,2)),flip(b)]. given #2437 (H,wt=18): 2502 x * K(y,y \ 1) != z | K(y,y \ 1) * x = z. [para(2497(a,1),220(a,1,2))]. given #2438 (H,wt=16): 2561 T(x,x \ 1) != y | K(x,x \ 1) * x = y. [para(1821(a,1),2502(a,1))]. given #2439 (H,wt=18): 2506 K(x,x \ 1) * y != z | y * K(x,x \ 1) = z. [para(2498(a,1),220(a,1,2))]. given #2440 (H,wt=16): 2563 (x \ 1) \ 1 != y | x * K(x,x \ 1) = y. [para(1745(a,1),2506(a,1))]. given #2441 (H,wt=18): 2515 K(x,1 / x) * y != z | y * K(x,1 / x) = z. [para(2508(a,1),220(a,1,2))]. given #2442 (H,wt=18): 2520 K(x \ 1,x) * y != z * K(x \ 1,x) | z = y. [para(2509(a,1),172(a,1,2))]. given #2443 (H,wt=18): 2521 K(x \ 1,x) * y != z | y * K(x \ 1,x) = z. [para(2509(a,1),220(a,1,2))]. given #2444 (H,wt=18): 2528 x * K(y \ 1,y) != z | K(y \ 1,y) * x = z. [para(2517(a,1),220(a,1,2))]. given #2445 (H,wt=19): 2492 (((x / y) \ 1) \ 1) * y = y * (((y \ x) \ 1) \ 1). [para(121(a,1),2484(a,1,2,1,1)),flip(a)]. given #2446 (H,wt=19): 2522 x * (K(y \ 1,y) * z) = x * (z * K(y \ 1,y)). [para(2509(a,1),161(a,1,2,2))]. given #2447 (H,wt=19): 2524 K(x \ y,y \ x) * z = z * K(x \ y,y \ x). [hyper(2261,a,2510,a),flip(a)]. given #2448 (H,wt=19): 2541 K(x \ 1,x) * (y / x) = y * T(y \ (y / x),x). [hyper(236,a,1038,a(flip),b,2516,a)]. given #2449 (H,wt=19): 2551 T(x,((y * x) / y) \ 1) = ((y \ (y * x)) \ 1) \ 1. [hyper(753,a,2485,a)]. given #2450 (H,wt=15): 2569 T(x,((y * x) / y) \ 1) = (x \ 1) \ 1. [para(13(a,1),2551(a,2,1,1))]. given #2451 (H,wt=13): 2570 T(x,y / (y * x)) = (x \ 1) \ 1. [hyper(236,a,2154,a(flip),b,2569,a(flip)),flip(a)]. given #2452 (H,wt=13): 2572 T(x,y / (y * x)) = T(x,x \ 1). [hyper(236,a,120,a,b,2570,a)]. given #2453 (H,wt=15): 2573 T(x \ y,x / y) = ((x \ y) \ 1) \ 1. [para(14(a,1),2570(a,1,2,2))]. given #2454 (H,wt=17): 2575 T((x * y) \ y,x) = (((x * y) \ y) \ 1) \ 1. [para(15(a,1),2573(a,1,2))]. given #2455 (H,wt=17): 2576 T(x \ (y \ x),y) = ((x \ (y \ x)) \ 1) \ 1. [para(62(a,1),2573(a,1,2))]. given #2456 (H,wt=17): 2577 1 / T(x \ (y \ x),y) = (x \ (y \ x)) \ 1. [para(2576(a,2),62(a,1,2))]. given #2457 (H,wt=19): 2552 (x * (((x \ y) \ 1) \ 1)) / x = ((y / x) \ 1) \ 1. [para(2485(a,1),163(a,1,1,2))]. given #2458 (H,wt=19): 2553 (x * (1 / (1 / (x \ y)))) / x = 1 / (1 / (y / x)). [para(2489(a,1),163(a,1,1,2))]. given #2459 (H,wt=19): 2574 (x / (x * y)) * T(y,y \ 1) = y * (x / (x * y)). [para(2572(a,1),119(a,1,2))]. given #2460 (H,wt=19): 2578 (x * ((y \ 1) \ 1)) / x = (((x * y) / x) \ 1) \ 1. [para(13(a,1),2552(a,1,1,2,1,1))]. given #2461 (H,wt=19): 2580 (x * T(x \ y,y \ x)) / x = ((y / x) \ 1) \ 1. [para(2278(a,2),2552(a,1,1,2))]. given #2462 (H,wt=15): 2582 T(x / y,x \ y) = ((x / y) \ 1) \ 1. [hyper(410,a,2580,a)]. given #2463 (H,wt=17): 2583 T(x / (x * y),y) = ((x / (x * y)) \ 1) \ 1. [para(13(a,1),2582(a,1,2))]. given #2464 (H,wt=19): 2581 (x * (1 / (1 / y))) / x = 1 / (1 / ((x * y) / x)). [para(13(a,1),2553(a,1,1,2,2,2))]. given #2465 (H,wt=20): 2486 x * ((T(y,x) \ 1) \ 1) != z | ((y \ 1) \ 1) * x = z. [para(2479(a,2),220(a,1,2))]. given #2466 (H,wt=20): 2542 K(x \ 1,x) \ ((y * (x \ 1)) * x) = R(y,x \ 1,x). [hyper(988,a,2516,a(flip))]. given #2467 (H,wt=20): 2559 T(x,y) \ x != z | (T(x,y) \ 1) * T(x,x \ 1) = z. [para(2554(a,1),651(a,1))]. given #2468 (H,wt=21): 2488 T(x,y) * K(T(x,y) \ 1,T(x,y)) = T(1 / (1 / x),y). [hyper(1752,a,2482,a)]. given #2469 (H,wt=21): 2560 (1 / x) * ((T(x,y) \ 1) * x) = (x \ 1) * (T(x,y) \ x). [para(2558(a,1),2422(a,1,2))]. given #2470 (H,wt=15): 2584 (x \ 1) * (T(x,y) \ x) = T(x,y) \ 1. [hyper(2214,a,2560,a),flip(a)]. given #2471 (H,wt=15): 2585 (x \ 1) \ (T(x,y) \ 1) = T(x,y) \ x. [hyper(72,a,2213,a(flip),b,2560,a(flip))]. given #2472 (H,wt=13): 2587 (x \ T(x,y)) \ 1 = T(x,y) \ x. [hyper(236,a,2080,a(flip),b,2585,a(flip)),flip(a)]. given #2473 (H,wt=19): 2586 T(1 / x,y) \ (1 / x) = x \ (T(1 / x,y) \ 1). [hyper(17,a,265,a,b,2584,a)]. given #2474 (H,wt=19): 2589 T(x / y,y) \ (x / y) = ((x / y) \ (y \ x)) \ 1. [para(121(a,1),2587(a,1,1,2)),flip(a)]. given #2475 (H,wt=17): 2592 ((x / y) \ (y \ x)) \ 1 = (y \ x) \ (x / y). [para(121(a,1),2589(a,1,1)),flip(a)]. given #2476 (H,wt=19): 2590 (x * T(x \ 1,y)) \ 1 = T(1 / x,y) \ (1 / x). [para(713(a,1),2587(a,1,1))]. given #2477 (H,wt=19): 2594 (x * T(x \ 1,y)) \ 1 = x \ (T(1 / x,y) \ 1). [hyper(236,a,2586,a(flip),b,2590,a)]. given #2478 (H,wt=21): 2593 (x \ (x * y)) \ ((x * y) / x) = (((x * y) / x) \ y) \ 1. [para(13(a,1),2592(a,1,1,2)),flip(a)]. given #2479 (H,wt=17): 2596 (((x * y) / x) \ y) \ 1 = y \ ((x * y) / x). [para(13(a,1),2593(a,1,1)),flip(a)]. given #2480 (H,wt=22): 2523 x * (K(y \ 1,y) * z) != u | x * (z * K(y \ 1,y)) = u. [para(2509(a,1),535(a,1,2,2))]. given #2481 (H,wt=22): 2525 (x * K(y \ z,z \ y)) / x != u | K(y \ z,z \ y) = u. [para(2510(a,1),298(a,1,2)),flip(b)]. given #2482 (H,wt=20): 2597 K(x \ y,1 / (y / x)) != z | K(x \ y,y \ x) = z. [para(2373(a,1),2525(a,1))]. given #2483 (H,wt=22): 2529 x * (y * K(z \ 1,z)) != u | x * (K(z \ 1,z) * y) = u. [para(2517(a,1),535(a,1,2,2))]. given #2484 (H,wt=22): 2539 L(K(x,x \ 1),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(2503(a,1),2386(a,1,1))]. given #2485 (H,wt=12): 2599 T(x,L(K(y,y \ 1),y,z)) = x. [para(2539(a,2),2509(a,1,2))]. given #2486 (H,wt=22): 2545 (K(x \ 1,x) * y) \ ((y * (x \ 1)) * x) = a(y,x \ 1,x). [para(2516(a,2),275(a,1,1))]. given #2487 (H,wt=22): 2546 (K(x \ 1,x) * y) * z != u | (y * K(x \ 1,x)) * z = u. [para(2518(a,1),303(a,1,1,1))]. given #2488 (H,wt=22): 2556 (x * y) * K(L(z,y,x) \ 1,z) = x * (y * K(z \ 1,z)). [para(2530(a,1),103(a,1,2))]. given #2489 (H,wt=22): 2565 x * (y * K(z \ 1,z)) != x * u | K(z \ 1,z) * y = u. [para(2522(a,1),19(a,1))]. given #2490 (H,wt=22): 2568 x * T(x \ (x / y),y) != z | (x / y) * K(y \ 1,y) = z. [para(2541(a,1),2521(a,1))]. given #2491 (H,wt=22): 2579 (((x / y) \ 1) \ 1) * y != z | y * (((y \ x) \ 1) \ 1) = z. [para(2552(a,1),221(a,1,1)),flip(b)]. given #2492 (H,wt=22): 2591 T(x,R(y,x,(y * x) \ x)) \ x = (x \ (x * K(x,y))) \ 1. [para(1559(a,1),2587(a,1,1,2)),flip(a)]. given #2493 (H,wt=18): 2603 T(x,R(y,x,(y * x) \ x)) \ x = K(x,y) \ 1. [para(13(a,1),2591(a,2,1))]. given #2494 (H,wt=23): 2490 ((x * T(1 / (1 / y),x)) / x) \ (y / T(y,x)) = 1 / T(y,x). [para(2482(a,1),1532(a,1,1,1,2))]. given #2495 (H,wt=17): 2605 (1 / (1 / x)) \ (x / T(x,y)) = 1 / T(x,y). [para(163(a,1),2490(a,1,1))]. given #2496 (H,wt=24): 2550 x * K(x \ (x / T(x,y)),x) != z * u | z \ (1 / (1 / x)) = u. [para(2526(a,2),1740(a,1,2))]. given #2497 (H,wt=24): 2555 (T(x,y) \ 1) * ((x \ 1) \ 1) != z * u | (T(x,y) \ x) / u = z. [para(2494(a,1),529(a,1,2))]. given #2498 (H,wt=24): 2562 L(x,y,z) * (1 / x) != u | K(x,x \ 1) * (x \ L(x,y,z)) = u. [para(2349(a,1),2502(a,1))]. given #2499 (H,wt=24): 2598 K((x * y) \ x,((x * y) \ x) \ 1) = L(K(y,y \ 1),y,x) \ 1. [para(2539(a,2),401(a,1,1)),flip(a)]. given #2500 (H,wt=18): 2607 K((x * y) \ x,y) = L(K(y,y \ 1),y,x) \ 1. [hyper(236,a,2295,a(flip),b,2598,a(flip)),flip(a)]. given #2501 (H,wt=25): 2588 (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),2587(a,1,1,2))]. given #2502 (H,wt=25): 2595 (x \ y) \ (T(1 / (x \ y),z) \ 1) = (x \ (y * T(y \ x,z))) \ 1. [para(1246(a,1),2594(a,1,1)),flip(a)]. given #2503 (H,wt=25): 2602 (x * y) * z != x * (y * K(u \ 1,u)) | K(L(u,y,x) \ 1,u) = z. [para(2556(a,1),19(a,1)),flip(a)]. given #2504 (H,wt=25): 2608 (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),2588(a,2,1))]. given #2505 (H,wt=26): 2532 ((x * y) * K(z,z \ 1)) / (K(z,z \ 1) * y) = R(x,y,K(z,z \ 1)). [para(2500(a,2),30(a,2,2)),flip(a)]. given #2506 (H,wt=26): 2609 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,z,K(x,x \ 1)). [para(2500(a,2),2532(a,1,1))]. given #2507 (H,wt=28): 2533 (K(x,x \ 1) * y) \ ((z * y) * K(x,x \ 1)) = L(T(z,y),y,K(x,x \ 1)). [para(2500(a,1),178(a,1,2))]. given #2508 (H,wt=28): 2534 R(x,x \ y,K(z,z \ 1)) \ (K(z,z \ 1) * y) = (x \ y) * K(z,z \ 1). [para(2500(a,2),463(a,1,2))]. given #2509 (H,wt=28): 2537 R(x,1 / (1 / y),K(y,y \ 1)) * y = (x * (1 / (1 / y))) * K(y,y \ 1). [para(2531(a,1),113(a,1,2))]. given #2510 (H,wt=28): 2538 R(x / (1 / (1 / y)),1 / (1 / y),K(y,y \ 1)) = (x * K(y,y \ 1)) / y. [para(2531(a,1),114(a,2,2))]. given #2511 (H,wt=29): 2567 K(L(x,y,z) \ 1,L(x,y,z)) * (x / L(x,y,z)) = x * T(L(x,y,z) \ 1,x). [para(1673(a,1),2541(a,2,2))]. given #2512 (H,wt=29): 2601 L(x \ (K(y \ 1,y) \ ((x * (y \ 1)) * y)),x,K(y \ 1,y)) = a(x,y \ 1,y). [hyper(785,a,2545,a)]. given #2513 (H,wt=22): 2610 L(x \ R(x,y \ 1,y),x,K(y \ 1,y)) = a(x,y \ 1,y). [para(2542(a,1),2601(a,1,1,2))]. given #2514 (H,wt=30): 2487 R(x,T(y,z) \ 1,T((y \ 1) \ 1,z)) / ((T(y,z) \ 1) \ 1) = x * (T(y,z) \ 1). [para(2479(a,1),395(a,1,1,3))]. given #2515 (H,wt=30): 2493 ((R(x / y,y,z) \ 1) \ 1) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(487(a,1),2484(a,1,2,1,1)),flip(a)]. given #2516 (H,wt=30): 2611 R(x,T(y,z) \ 1,T((y \ 1) \ 1,z)) / T((y \ 1) \ 1,z) = x * (T(y,z) \ 1). [para(2479(a,1),2487(a,1,2))]. given #2517 (H,wt=31): 2536 (K(x,x \ 1) * y) \ ((z * y) * K(x,x \ 1)) != u | L(T(z,y),y,K(x,x \ 1)) = u. [para(2500(a,1),718(a,1,2))]. given #2518 (H,wt=31): 2544 (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) != u | L(T(z,y),y,K(x \ 1,x)) = u. [para(2516(a,1),718(a,1,2))]. given #2519 (H,wt=34): 2535 (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(2500(a,2),615(a,1,1))]. given #2520 (H,wt=27): 2612 R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) = L(T(x,y),y,K(z,z \ 1)). [hyper(2536,a,2535,a),flip(a)]. given #2521 (H,wt=34): 2543 (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) = R(T(z,y * K(x \ 1,x)),y,K(x \ 1,x)). [para(2516(a,2),615(a,1,1))]. given #2522 (H,wt=27): 2613 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = L(T(x,y),y,K(z \ 1,z)). [hyper(2544,a,2543,a),flip(a)]. given #2523 (H,wt=35): 2564 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z). [hyper(236,a,2160,a(flip),b,2492,a(flip))]. given #2524 (H,wt=37): 2566 (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(2522(a,2),679(a,1,2))]. given #2525 (H,wt=39): 1405 ((x * T(y,z)) / T(y,z)) * T(((x * T(y,z)) / T(y,z)) \ (x * y),u) = ((x * T(y,z)) * T(y,u)) / T(y,z). [para(1147(a,1),1339(a,1,1,2,1)),flip(a)]. given #2526 (H,wt=31): 2614 x * T(((x * T(y,z)) / T(y,z)) \ (x * y),u) = ((x * T(y,z)) * T(y,u)) / T(y,z). [para(15(a,1),1405(a,1,1))]. given #2527 (H,wt=23): 2615 ((x * T(y,z)) * T(y,u)) / T(y,z) = x * T(x \ (x * y),u). [para(15(a,1),2614(a,1,2,1,1)),flip(a)]. given #2528 (H,wt=19): 2616 ((x * T(y,z)) * T(y,u)) / T(y,z) = x * T(y,u). [para(13(a,1),2615(a,2,2,1))]. given #2529 (H,wt=19): 2617 (x * T(y,z)) / T(y,u) = (x / T(y,u)) * T(y,z). [para(16(a,1),2616(a,1,1,1))]. given #2530 (H,wt=39): 2022 (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(2021(a,1),176(a,1,2,1))]. given #2531 (H,wt=32): 2618 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)). [para(1976(a,1),2022(a,1,2))]. given #2532 (H,wt=23): 2619 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = K(x,y / (x * y)). [hyper(751,a,2618,a),flip(a)]. given #2533 (H,wt=17): 2620 x \ T(x,y / (x * y)) = K(x,y / (x * y)). [hyper(236,a,2404,a(flip),b,2619,a(flip)),flip(a)]. given #2534 (H,wt=13): 2621 K(x,y / (x * y)) = K(x,x \ 1). [hyper(2144,a,2620,a),flip(a)]. given #2535 (H,wt=16): 2622 K(x,y / (x * y)) != z | K(x,x \ 1) = z. [para(2620(a,1),2144(a,1))]. given #2536 (H,wt=20): 2624 K(x / y,y / x) != z | K(x / y,(x / y) \ 1) = z. [para(16(a,1),2622(a,1,2,2))]. given #2537 (H,wt=39): 2043 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(1690(a,1),2041(a,1,2,1,1)),flip(a)]. given #2538 (H,wt=32): 2625 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = (x \ 1) * R((x \ 1) \ 1,y,z). [para(1690(a,1),2043(a,2,1))]. given #2539 (H,wt=26): 2626 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = x \ R(x,y,z). [hyper(236,a,1070,a(flip),b,2625,a)]. given #2540 (H,wt=20): 2628 T(x \ R(x,y,z),x \ L(x,u,w)) = x \ R(x,y,z). [para(1070(a,1),2626(a,1,1))]. given #2541 (H,wt=20): 2629 T(x \ L(x,y,z),x \ R(x,u,w)) = x \ L(x,y,z). [hyper(35,a,2628,a)]. given #2542 (H,wt=40): 1201 (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(103(a,1),953(a,1,1))]. given #2543 (H,wt=37): 2630 (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(103(a,1),1201(a,1,2,1,1))]. given #2544 (H,wt=33): 2631 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * ((y * z) * R((y * z) \ y,u,w)). [hyper(1136,a,2630,a),flip(a)]. given #2545 (H,wt=31): 2632 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * (y * (z * R(z \ 1,u,w))). [para(953(a,1),2631(a,2,2))]. given #2546 (H,wt=26): 2633 L(x,y,z) * R(L(x,y,z) \ 1,u,w) = L(x * R(x \ 1,u,w),y,z). [hyper(436,a,2632,a),flip(a)]. given #2547 (H,wt=31): 2634 (x * y) \ (x * (y * (z * R(z \ 1,u,w)))) = L(z,y,x) * R(L(z,y,x) \ 1,u,w). [hyper(80,a,2632,a)]. given #2548 (H,wt=32): 2635 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(236,a,1216,a(flip),b,2633,a(flip))]. given #2549 (H,wt=29): 2636 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = L(x * T(x \ 1,L(x,y,z)),y,z). [para(1697(a,1),2635(a,1,1,2)),flip(a)]. given #2550 (H,wt=27): 2637 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [hyper(2385,a,2636,a(flip)),flip(a)]. given #2551 (H,wt=17): 2638 (x \ 1) / (x \ L(x,y,z)) = L(x,y,z) \ 1. [hyper(18,a,187,a(flip),b,2637,a)]. given #2552 (H,wt=21): 2639 x / ((1 / x) \ L(1 / x,y,z)) = L(1 / x,y,z) \ 1. [para(65(a,1),2638(a,1,1))]. given #2553 (H,wt=19): 2640 x / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ 1. [para(969(a,1),2639(a,1,2))]. given #2554 (H,wt=19): 2641 (L(1 / x,y,z) \ 1) * (x * L(x \ 1,y,z)) = x. [para(2640(a,1),16(a,1,1))]. given #2555 (H,wt=19): 2642 (x * L(x \ 1,y,z)) \ x = L(1 / x,y,z) \ 1. [hyper(2445,a,2641,a)]. given #2556 (H,wt=21): 2643 L(1 / (1 / x),y,z) \ 1 = (L(x,y,z) / x) \ (1 / x). [para(1481(a,1),2642(a,1,1)),flip(a)]. given #2557 (H,wt=25): 2644 T(x * L(x \ 1,y,z),u) \ T(x,u) = L(1 / T(x,u),y,z) \ 1. [para(2092(a,1),2642(a,1,1))]. given #2558 (H,wt=40): 2168 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = x * ((z * (y \ u)) * ((x * ((z * (y \ u)) \ (x \ u))) / x)). [para(483(a,2),2167(a,2,1,2,1)),flip(a)]. given #2559 (H,wt=36): 2645 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [hyper(236,a,2167,a(flip),b,2168,a)]. given #2560 (H,wt=41): 2393 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(1074(a,1),2389(a,2,1,2))]. given #2561 (H,wt=39): 2646 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(1765(a,1),2393(a,1,1,2,1))]. given #2562 (H,wt=32): 2647 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(1951(a,1),2646(a,1,1,2)),flip(a)]. given #2563 (H,wt=42): 1478 ((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(113(a,1),981(a,1,2))]. given #2564 (H,wt=39): 2649 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((x * ((z * u) / ((y * z) * u))) / x) * ((y * z) * u). [para(113(a,1),1478(a,1,1,1,2,2)),flip(a)]. given #2565 (H,wt=39): 2650 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * u) * ((x * (((y * z) * u) \ (z * u))) / x). [hyper(236,a,825,a(flip),b,2649,a)]. given #2566 (H,wt=35): 2651 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [hyper(236,a,2163,a(flip),b,2650,a)]. given #2567 (H,wt=35): 2652 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z. [para(825(a,1),2651(a,1,1))]. given #2568 (H,wt=33): 2653 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * ((u * (x \ 1)) / u)) * y) * z. [para(2175(a,1),2652(a,2,1))]. given #2569 (H,wt=28): 2654 R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u) = R(x * ((u * (x \ 1)) / u),y,z). [hyper(18,a,113,a,b,2653,a)]. given #2570 (H,wt=23): 2655 R(x * ((y * (x \ 1)) / y),z,u) = K(y,(y / R(x,z,u)) / y). [hyper(1547,a,2654,a),flip(a)]. given #2571 (H,wt=30): 2656 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),2654(a,1,2,1)),flip(a)]. given #2572 (H,wt=30): 2657 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(236,a,1770,a,b,2656,a)]. given #2573 (H,wt=28): 2658 R(x * ((x \ R(x,y,z)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(1071(a,1),2657(a,1,1,2,1))]. given #2574 (H,wt=42): 1520 (((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),1519(a,1,1)),flip(a)]. given #2575 (H,wt=37): 2659 (((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),1520(a,2,2,1,1))]. given #2576 (H,wt=33): 2660 (((x * y) * R((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * R(R(x,y,w) \ 1,z,u). [para(1904(a,1),2659(a,1,1))]. given #2577 (H,wt=31): 2661 (((x * R(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z). [para(1909(a,1),2660(a,1,1,1))]. given #2578 (H,wt=26): 2662 R(x,y,z) * R(R(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z). [hyper(475,a,2661,a),flip(a)]. given #2579 (H,wt=29): 2664 R(x,y,z) * R(R(x,y,z) \ 1,x,x \ 1) = R(x * T(1 * (x \ 1),x),y,z). [para(634(a,1),2662(a,2,1,2))]. given #2580 (H,wt=24): 2665 R(x * T(1 * (x \ 1),x),y,z) = a(1 / R(x,y,z),x,x \ 1). [hyper(1089,a,2664,a),flip(a)]. given #2581 (H,wt=22): 2666 a(1 / R(x,y,z),x,x \ 1) = R(x * T(x \ 1,x),y,z). [para(11(a,1),2665(a,1,1,2,1)),flip(a)]. given #2582 (H,wt=32): 2663 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(236,a,1076,a(flip),b,2662,a(flip))]. given #2583 (H,wt=29): 2667 ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = R(x * T(x \ 1,R(x,y,z)),y,z). [para(1954(a,1),2663(a,1,1,2)),flip(a)]. given #2584 (H,wt=17): 2668 (x \ 1) / (x \ R(x,y,z)) = R(x,y,z) \ 1. [hyper(18,a,2395,a(flip),b,2667,a)]. given #2585 (H,wt=42): 1526 (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(103(a,1),1122(a,1,1))]. given #2586 (H,wt=39): 2669 (x * (y * z)) * ((u * ((x * (y * z)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(103(a,1),1526(a,1,2,1,2,1))]. given #2587 (H,wt=35): 2670 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * ((y * z) * ((u * ((y * z) \ y)) / u)). [hyper(1125,a,2669,a),flip(a)]. given #2588 (H,wt=33): 2671 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * (y * (z * ((u * (z \ 1)) / u))). [para(1122(a,1),2670(a,2,2))]. given #2589 (H,wt=28): 2672 L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) = L(x * ((u * (x \ 1)) / u),y,z). [hyper(436,a,2671,a),flip(a)]. given #2590 (H,wt=30): 2674 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),2672(a,1,2,1)),flip(a)]. given #2591 (H,wt=30): 2675 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(236,a,1770,a,b,2674,a)]. given #2592 (H,wt=23): 2676 L(K(L(x,y,z),1 / x),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [para(1552(a,1),2675(a,1,1))]. given #2593 (H,wt=33): 2673 (x * y) \ (x * (y * (z * ((u * (z \ 1)) / u)))) = L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u). [hyper(80,a,2671,a)]. given #2594 (H,wt=31): 2677 L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) != w | L(x * ((u * (x \ 1)) / u),y,z) = w. [para(2673(a,1),447(a,1))]. given #2595 (H,wt=33): 2678 L(x,y,z) * (1 / L(x,y,z)) != u | L(x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)),y,z) = u. [para(14(a,1),2677(a,1,2,1))]. given #2596 (H,wt=42): 1541 (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),1540(a,1,1)),flip(a)]. given #2597 (H,wt=37): 2679 (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),1541(a,2,2,1,1))]. given #2598 (H,wt=37): 2680 (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(955(a,1),2679(a,1,2))]. given #2599 (H,wt=33): 2681 (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),2680(a,1,2,2,2,1,2))]. given #2600 (H,wt=31): 2682 (x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(852(a,1),2681(a,1,2,2))]. given #2601 (H,wt=26): 2683 L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z). [hyper(447,a,2682,a),flip(a)]. given #2602 (H,wt=27): 2685 L(x,y,z) * L(L(x,y,z) \ 1,x,1 / x) = L(x * T(1 / x,1),y,z). [para(723(a,1),2683(a,2,1,2))]. given #2603 (H,wt=26): 2687 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * T(1 / x,1),y,z). [para(1224(a,1),2685(a,1,2))]. given #2604 (H,wt=24): 2688 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / x),y,z). [para(145(a,1),2687(a,2,1,2))]. given #2605 (H,wt=24): 2689 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(K(x,x \ 1),y,z). [para(1770(a,2),2688(a,2,1))]. given #2606 (H,wt=29): 2684 L(x,y,z) * L(L(x,y,z) \ 1,u,w) != v5 | L(x * L(x \ 1,u,w),y,z) = v5. [para(2682(a,1),447(a,1))]. given #2607 (H,wt=34): 2686 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(1484(a,1),2683(a,1,2))]. given #2608 (H,wt=32): 2690 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),2686(a,1,2,2)),flip(a)]. given #2609 (H,wt=27): 2691 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = L(K(L(x,y,z),1 / x),y,z). [para(2401(a,1),2690(a,1,1)),flip(a)]. given #2610 (H,wt=27): 2692 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(236,a,2676,a(flip),b,2691,a)]. given #2611 (H,wt=17): 2693 (L(x,y,z) / x) \ (1 / x) = 1 / L(x,y,z). [hyper(17,a,1770,a(flip),b,2692,a)]. given #2612 (H,wt=17): 2694 L(1 / (1 / x),y,z) \ 1 = 1 / L(x,y,z). [hyper(236,a,2643,a,b,2693,a(flip)),flip(a)]. given #2613 (H,wt=17): 2695 L(1 / (1 / x),y,z) = 1 / (1 / L(x,y,z)). [para(2694(a,1),62(a,1,2)),flip(a)]. given #2614 (H,wt=17): 2696 1 / L(x \ 1,y,z) = L(1 / x,y,z) \ 1. [para(62(a,1),2694(a,1,1,1,2)),flip(a)]. given #2615 (H,wt=16): 2701 L(1 / x,x,y) \ 1 = 1 / ((y * x) \ y). [para(158(a,1),2696(a,1,2)),flip(a)]. given #2616 (H,wt=16): 2702 L(1 / x,x,y) = 1 / (1 / ((y * x) \ y)). [para(2701(a,1),62(a,1,2)),flip(a)]. given #2617 (H,wt=17): 2697 1 / (1 / L(x \ 1,y,z)) = L(1 / x,y,z). [para(62(a,1),2695(a,1,1,2)),flip(a)]. given #2618 (H,wt=17): 2700 (L(1 / x,y,z) \ 1) \ 1 = L(x \ 1,y,z). [para(2696(a,1),65(a,1,1))]. given #2619 (H,wt=17): 2706 L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) \ 1. [para(62(a,1),2700(a,1,1,1,1)),flip(a)]. given #2620 (H,wt=18): 2703 L(1 / (x \ y),x \ y,x) = 1 / (1 / (y \ x)). [para(14(a,1),2702(a,2,2,2,1))]. given #2621 (H,wt=18): 2704 L(x,x \ 1,y) = 1 / (1 / ((y * (x \ 1)) \ y)). [para(62(a,1),2702(a,1,1))]. given #2622 (H,wt=18): 2709 L(x \ y,y \ x,x \ y) = 1 / (1 / (x \ y)). [hyper(236,a,1700,a,b,2703,a(flip)),flip(a)]. given #2623 (H,wt=19): 2708 (x \ y) * K(y \ x,x \ y) = 1 / (1 / (x \ y)). [hyper(236,a,2463,a,b,2703,a(flip)),flip(a)]. given #2624 (H,wt=17): 2712 K((x \ y) \ 1,x \ y) = K(y \ x,x \ y). [hyper(17,a,1738,a,b,2708,a),flip(a)]. given #2625 (H,wt=19): 2714 x * K(y \ x,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2712(a,1),2289(a,1,2))]. given #2626 (H,wt=21): 2699 T(1 / (1 / L(x,y,z)),1 / x) = L((1 / x) \ 1,y,z). [para(2695(a,1),184(a,1,1))]. given #2627 (H,wt=17): 2715 T(1 / (1 / L(x,y,z)),1 / x) = L(x,y,z). [para(65(a,1),2699(a,2,1))]. given #2628 (H,wt=21): 2711 x * K(x \ y,(x \ y) \ 1) = y * (1 / (1 / (y \ x))). [para(2709(a,1),1888(a,1,2)),flip(a)]. given #2629 (H,wt=19): 2717 x * K(x \ y,y \ x) = y * (1 / (1 / (y \ x))). [para(2282(a,1),2711(a,1,2))]. given #2630 (H,wt=21): 2713 K(((x * y) \ x) \ 1,(x * y) \ x) = K(y,(x * y) \ x). [hyper(236,a,660,a(flip),b,2712,a)]. given #2631 (H,wt=16): 2720 L(K(x,x \ 1),x,y) = K(x,(y * x) \ y). [hyper(236,a,2539,a,b,2713,a(flip)),flip(a)]. given #2632 (H,wt=14): 2722 L(K(x,x \ 1),x,y) = K(x,x \ 1). [hyper(236,a,2280,a(flip),b,2720,a)]. given #2633 (H,wt=17): 2723 K(x,(y * x) \ y) \ 1 = K((y * x) \ y,x). [para(2720(a,1),2607(a,2,1)),flip(a)]. given #2634 (H,wt=13): 2726 K((x * y) \ x,y) = K(y \ 1,y). [hyper(236,a,2284,a(flip),b,2723,a(flip))]. given #2635 (H,wt=14): 2729 K(L(x \ 1,x,y),x) = K(x \ 1,x). [para(158(a,2),2726(a,1,1))]. given #2636 (H,wt=19): 2728 K(T(x,y) \ 1,T(x,y)) = K((x * y) \ y,T(x,y)). [para(119(a,1),2726(a,1,1,1)),flip(a)]. given #2637 (H,wt=20): 2725 L(K(x \ 1,x),1 / x,y) = K(1 / x,(1 / x) \ 1). [para(1800(a,1),2722(a,1,1))]. given #2638 (H,wt=16): 2732 L(K(x \ 1,x),1 / x,y) = K(x \ 1,x). [hyper(236,a,1800,a(flip),b,2725,a)]. given #2639 (H,wt=17): 2734 (x / (y \ 1)) * (1 / y) = x / K(y \ 1,y). [para(2732(a,1),1441(a,1,2)),flip(a)]. given #2640 (H,wt=17): 2735 (x * K(y \ 1,y)) / (y \ 1) = x / (1 / y). [hyper(74,a,15,a(flip),b,2734,a),flip(a)]. given #2641 (H,wt=17): 2737 (x / (1 / y)) * (y \ 1) = x * K(y \ 1,y). [para(2735(a,1),16(a,1,1))]. given #2642 (H,wt=17): 2738 (x * (y \ 1)) / (1 / y) = x * K(y \ 1,y). [hyper(1197,a,2737,a)]. given #2643 (H,wt=17): 2739 (x / (y \ 1)) * K(y \ 1,y) = x / (1 / y). [hyper(1194,a,2737,a),flip(a)]. given #2644 (H,wt=17): 2740 (x * (1 / y)) * K(y \ 1,y) = x * (y \ 1). [para(15(a,1),2737(a,1,1)),flip(a)]. given #2645 (H,wt=12): 2745 R(x,1 / y,K(y \ 1,y)) = x. [hyper(1440,a,2740,a)]. given #2646 (H,wt=14): 2747 R(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1769(a,1),2745(a,1,3))]. given #2647 (H,wt=17): 2741 (x * K(y \ 1,y)) * (1 / y) = x * (y \ 1). [para(2738(a,1),16(a,1,1))]. given #2648 (H,wt=17): 2742 K(x \ 1,x) * (y / (x \ 1)) = y / (1 / x). [hyper(2528,a,2739,a)]. given #2649 (H,wt=17): 2744 K(x \ 1,x) * (y * (1 / x)) = y * (x \ 1). [hyper(2528,a,2740,a)]. given #2650 (H,wt=17): 2748 (x * K(y,y \ 1)) / y = x / (1 / (1 / y)). [hyper(236,a,2538,a(flip),b,2747,a(flip)),flip(a)]. given #2651 (H,wt=17): 2749 (x * (1 / (1 / y))) * K(y,y \ 1) = x * y. [para(2747(a,1),2537(a,1,1)),flip(a)]. given #2652 (H,wt=17): 2751 (x / y) * K(y,y \ 1) = x / (1 / (1 / y)). [hyper(236,a,1834,a(flip),b,2748,a(flip)),flip(a)]. given #2653 (H,wt=18): 2733 K(1 / x,(1 / x) \ 1) != y | K(x \ 1,x) = y. [para(2725(a,1),323(a,1)),flip(b)]. given #2654 (H,wt=20): 2743 x / (1 / y) != z * K(y \ 1,y) | x / (y \ 1) = z. [para(2739(a,1),20(a,1))]. given #2655 (H,wt=20): 2746 x * K(y \ 1,y) != z * (y \ 1) | z * (1 / y) = x. [para(2740(a,1),20(a,1)),flip(a)]. given #2656 (H,wt=21): 2716 T(T(1 / (1 / L(x,y,z)),u),1 / x) = T(L(x,y,z),u). [para(2715(a,1),38(a,1,1)),flip(a)]. given #2657 (H,wt=21): 2718 (x * (1 / (1 / (x \ y)))) / y = K(y \ x,1 / (x / y)). [para(2711(a,1),2372(a,1,1))]. given #2658 (H,wt=21): 2719 (x / y) * K(y,y \ 1) = x * (1 / (1 / (x \ (x / y)))). [para(2285(a,1),2717(a,1,2))]. given #2659 (H,wt=19): 2753 x * (1 / (1 / (x \ (x / y)))) = x / (1 / (1 / y)). [hyper(236,a,2751,a(flip),b,2719,a(flip))]. given #2660 (H,wt=19): 2754 1 / (1 / (x \ (x / y))) = x \ (x / (1 / (1 / y))). [hyper(72,a,2751,a(flip),b,2719,a(flip)),flip(a)]. given #2661 (H,wt=19): 2756 x / (1 / (1 / (y \ x))) = x * (1 / (1 / (x \ y))). [para(62(a,1),2753(a,1,2,2,2,2)),flip(a)]. given #2662 (H,wt=19): 2757 (x / (1 / (1 / y))) / x = 1 / (1 / ((x / y) / x)). [para(2753(a,1),2553(a,1,1))]. given #2663 (H,wt=19): 2758 1 / (1 / (x \ (x / (y \ 1)))) = x \ (x / (1 / y)). [para(62(a,1),2754(a,2,2,2,2))]. given #2664 (H,wt=19): 2759 (x \ (x / (1 / (1 / y)))) \ 1 = 1 / (x \ (x / y)). [para(2754(a,1),65(a,1,1))]. given #2665 (H,wt=19): 2760 x / (1 / (1 / ((x * y) \ x))) = x * (1 / (1 / y)). [para(13(a,1),2756(a,2,2,2,2))]. given #2666 (H,wt=18): 2765 x / L(y,y \ 1,x) = x * (1 / (1 / (y \ 1))). [para(2704(a,2),2760(a,1,2))]. given #2667 (H,wt=14): 2766 x / L(y,y \ 1,x) = x * (1 / y). [para(62(a,1),2765(a,2,2,2))]. given #2668 (H,wt=14): 2767 L(x,x \ 1,y) = (y * (1 / x)) \ y. [para(2766(a,1),65(a,1,1)),flip(a)]. given #2669 (H,wt=16): 2769 L(1 / x,x,y) = (y * (1 / (1 / x))) \ y. [para(65(a,1),2767(a,1,2))]. given #2670 (H,wt=18): 2768 K(x \ (x / L(y,y \ 1,x)),z) = K(1 / y,z). [para(2766(a,2),660(a,1,1,2))]. given #2671 (H,wt=18): 2771 L(x * T(x \ 1,y),x \ 1,y) = K(1 / x,y). [hyper(236,a,2379,a,b,2768,a(flip)),flip(a)]. given #2672 (H,wt=19): 2761 (x * (1 / (1 / (x \ y)))) \ x = 1 / (1 / (y \ x)). [para(2756(a,1),65(a,1,1))]. given #2673 (H,wt=19): 2762 1 / (1 / ((x / (y \ 1)) / x)) = (x / (1 / y)) / x. [para(62(a,1),2757(a,1,1,2,2)),flip(a)]. given #2674 (H,wt=19): 2763 1 / (x \ (x / ((y \ 1) \ 1))) = (x \ (x / y)) \ 1. [para(139(a,1),2759(a,1,1,2,2)),flip(a)]. given #2675 (H,wt=19): 2764 ((x * (1 / (1 / y))) \ x) \ 1 = 1 / ((x * y) \ x). [para(2760(a,1),144(a,1,1,1))]. given #2676 (H,wt=19): 2774 1 / ((x / (y \ 1)) / x) = ((x / (1 / y)) / x) \ 1. [para(2762(a,1),65(a,1,1)),flip(a)]. given #2677 (H,wt=19): 2775 ((x \ (x / y)) \ 1) \ 1 = x \ (x / ((y \ 1) \ 1)). [para(2763(a,1),65(a,1,1))]. given #2678 (H,wt=17): 2778 T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)). [hyper(236,a,2286,a,b,2775,a(flip)),flip(a)]. given #2679 (H,wt=17): 2779 x * T(x \ (x / y),y) = x / ((y \ 1) \ 1). [para(2778(a,2),14(a,1,2))]. given #2680 (H,wt=17): 2782 x \ (x / T(y,y \ 1)) = T(x \ (x / y),y). [para(120(a,2),2778(a,2,2,2)),flip(a)]. given #2681 (H,wt=17): 2783 x * T(x \ (x / y),y) = x / T(y,y \ 1). [hyper(236,a,644,a,b,2779,a)]. given #2682 (H,wt=17): 2784 K(x \ 1,x) * (y / x) = y / ((x \ 1) \ 1). [hyper(236,a,2541,a,b,2779,a(flip)),flip(a)]. given #2683 (H,wt=17): 2785 (x / y) * K(y \ 1,y) = x / T(y,y \ 1). [hyper(2568,a,2783,a)]. given #2684 (H,wt=17): 2786 (x / T(y,y \ 1)) * y = x * K(y \ 1,y). [para(2785(a,1),1433(a,1,1))]. given #2685 (H,wt=17): 2787 (x * T(y,y \ 1)) * K(y \ 1,y) = x * y. [para(15(a,1),2786(a,1,1)),flip(a)]. given #2686 (H,wt=17): 2788 (x / ((y \ 1) \ 1)) * y = x * K(y \ 1,y). [para(120(a,1),2786(a,1,1,2))]. given #2687 (H,wt=17): 2789 K(x \ 1,x) * (y * T(x,x \ 1)) = y * x. [hyper(2528,a,2787,a)]. given #2688 (H,wt=17): 2791 (x * ((y \ 1) \ 1)) * K(y \ 1,y) = x * y. [para(120(a,1),2787(a,1,1,2))]. given #2689 (H,wt=17): 2794 (x * K(y \ 1,y)) * ((y \ 1) \ 1) = x * y. [hyper(18,a,1435,a(flip),b,2791,a)]. given #2690 (H,wt=17): 2796 (K(x \ 1,x) * y) * ((x \ 1) \ 1) = y * x. [para(2516(a,2),2794(a,1,1))]. given #2691 (H,wt=18): 2795 (x * (y \ 1)) * ((y \ 1) \ 1) = R(x,y \ 1,y). [hyper(791,a,2791,a(flip)),flip(a)]. given #2692 (H,wt=17): 2798 R(x,y \ 1,(y \ 1) \ 1) = R(x,y \ 1,y). [hyper(477,a,2795,a)]. given #2693 (H,wt=19): 2776 x * (((x \ (x / y)) \ 1) \ 1) = x / ((y \ 1) \ 1). [para(2763(a,1),142(a,1,2,1))]. given #2694 (H,wt=19): 2777 1 / ((x * (y \ 1)) \ x) = ((x * (1 / y)) \ x) \ 1. [para(62(a,1),2764(a,1,1,1,2,2)),flip(a)]. given #2695 (H,wt=19): 2780 T(x \ (x / (1 / y)),1 / y) = x \ (x / (y \ 1)). [para(65(a,1),2778(a,2,2,2,1))]. given #2696 (H,wt=19): 2781 x * (y \ (y / ((x \ 1) \ 1))) = (y \ (y / x)) * x. [para(2778(a,1),119(a,1,2))]. given #2697 (H,wt=19): 2792 (x * T(y,y \ 1)) * (y \ 1) = (x * y) * (1 / y). [para(2787(a,1),2741(a,1,1)),flip(a)]. given #2698 (H,wt=19): 2797 (x * (y \ 1)) * ((y \ 1) \ 1) = (x * (1 / y)) * y. [para(2740(a,1),2794(a,1,1))]. given #2699 (H,wt=14): 2804 (x * (1 / y)) * y = R(x,y \ 1,y). [hyper(236,a,2795,a(flip),b,2797,a(flip))]. given #2700 (H,wt=13): 2806 R(x,1 / y,y) = R(x,y \ 1,y). [hyper(697,a,2804,a)]. given #2701 (H,wt=14): 2805 R(x,y \ 1,y) / y = x * (1 / y). [hyper(74,a,2795,a(flip),b,2797,a(flip))]. given #2702 (H,wt=14): 2807 R(x / (1 / y),y \ 1,y) = x * y. [hyper(303,a,2804,a),flip(a)]. given #2703 (H,wt=15): 2810 x \ R(x,y \ 1,y) = a(x,1 / y,y). [para(2804(a,1),160(a,1,2))]. given #2704 (H,wt=16): 2803 x \ R(y,x \ 1,x) = T(y * (1 / x),x). [hyper(394,a,2795,a(flip),b,2797,a(flip)),flip(a)]. given #2705 (H,wt=17): 2813 R(x,(y \ 1) \ 1,y \ 1) = R(x,y,y \ 1). [para(62(a,1),2806(a,1,2)),flip(a)]. given #2706 (H,wt=17): 2814 (x * (1 / y)) * y != z | R(x,y \ 1,y) = z. [para(2805(a,1),221(a,1,1)),flip(b)]. given #2707 (H,wt=18): 2812 R(T(x / (1 / y),z),y \ 1,y) = T(x * y,z). [hyper(236,a,579,a(flip),b,2806,a(flip))]. given #2708 (H,wt=19): 2800 x / (((y \ x) \ 1) \ 1) = x * (((x \ y) \ 1) \ 1). [para(62(a,1),2776(a,1,2,1,1,2)),flip(a)]. given #2709 (H,wt=19): 2801 (((x * (1 / y)) \ x) \ 1) \ 1 = (x * (y \ 1)) \ x. [para(2777(a,1),65(a,1,1))]. given #2710 (H,wt=19): 2808 x \ R(y,x \ 1,x) != z | T(y * (1 / x),x) = z. [para(2804(a,1),284(a,1,2))]. given #2711 (H,wt=19): 2817 (((x * y) \ x) \ 1) \ 1 = (x * ((y \ 1) \ 1)) \ x. [para(62(a,1),2801(a,1,1,1,1,2))]. given #2712 (H,wt=20): 2790 x * K(y \ 1,y) != z * y | z * T(y,y \ 1) = x. [para(2787(a,1),20(a,1)),flip(a)]. given #2713 (H,wt=20): 2811 R(x * K(y \ 1,y),y \ 1,y) = (x * (y \ 1)) * y. [para(2741(a,1),2804(a,1,1)),flip(a)]. given #2714 (H,wt=21): 2721 (x * y) * K(y,(x * y) \ x) = x * T(y,(x * y) \ x). [para(2713(a,1),1255(a,1,2))]. given #2715 (H,wt=19): 2821 (x * y) * K(y,y \ 1) = x * T(y,(x * y) \ x). [para(2280(a,1),2721(a,1,2))]. given #2716 (H,wt=17): 2822 (x * y) * K(y,y \ 1) = x * ((y \ 1) \ 1). [para(2275(a,1),2821(a,2,2))]. given #2717 (H,wt=17): 2823 (x * y) * K(y,y \ 1) = x * T(y,y \ 1). [para(2276(a,1),2821(a,2,2))]. given #2718 (H,wt=17): 2825 (x / y) * ((y \ 1) \ 1) = x * K(y,y \ 1). [hyper(303,a,2822,a),flip(a)]. given #2719 (H,wt=17): 2826 (x * K(y,y \ 1)) * y = x * ((y \ 1) \ 1). [hyper(236,a,1829,a,b,2822,a(flip)),flip(a)]. given #2720 (H,wt=15): 2838 (K(x \ 1,x) * y) * K(x,x \ 1) = y. [hyper(18,a,2796,a(flip),b,2826,a)]. given #2721 (H,wt=13): 2850 T(x,K(x \ 1,x) * y) = T(x,y). [para(2838(a,1),2354(a,1,2)),flip(a)]. given #2722 (H,wt=15): 2839 K(x \ 1,x) * (y * K(x,x \ 1)) = y. [hyper(18,a,2796,a,b,2826,a(flip)),flip(a)]. given #2723 (H,wt=15): 2840 (x * K(y,y \ 1)) * K(y \ 1,y) = x. [hyper(18,a,2794,a,b,2826,a(flip)),flip(a)]. given #2724 (H,wt=15): 2844 K(x,x \ 1) * (K(x \ 1,x) * y) = y. [hyper(2502,a,2838,a)]. given #2725 (H,wt=15): 2846 K(x \ 1,x) * (K(x,x \ 1) * y) = y. [hyper(18,a,2500,a(flip),b,2838,a)]. given #2726 (H,wt=15): 2852 x / K(y \ 1,y) = x * K(y,y \ 1). [hyper(74,a,2839,a(flip),b,2516,a(flip))]. given #2727 (H,wt=15): 2857 (K(x,x \ 1) * y) * K(x \ 1,x) = y. [para(2500(a,2),2840(a,1,1))]. given #2728 (H,wt=15): 2858 K(x,x \ 1) * (y * K(x \ 1,x)) = y. [hyper(2523,a,2844,a)]. given #2729 (H,wt=15): 2859 K(x \ 1,x) \ y = K(x,x \ 1) * y. [hyper(307,a,2844,a),flip(a)]. given #2730 (H,wt=17): 2830 K(x,x \ 1) * (y * x) = y * T(x,x \ 1). [hyper(2502,a,2823,a)]. given #2731 (H,wt=17): 2831 (x / y) * T(y,y \ 1) = x * K(y,y \ 1). [hyper(303,a,2823,a),flip(a)]. given #2732 (H,wt=17): 2835 (x / T(y,y \ 1)) * K(y,y \ 1) = x / y. [hyper(74,a,313,a(flip),b,2826,a),flip(a)]. given #2733 (H,wt=17): 2836 (x / ((y \ 1) \ 1)) * K(y,y \ 1) = x / y. [hyper(74,a,16,a(flip),b,2826,a),flip(a)]. given #2734 (H,wt=17): 2837 (x * (y \ 1)) * K(y,y \ 1) = x * (1 / y). [hyper(18,a,2797,a(flip),b,2826,a)]. given #2735 (H,wt=14): 2873 (x * y) * (y \ 1) = R(x,y,1 / y). [hyper(1776,a,2837,a(flip)),flip(a)]. given #2736 (H,wt=14): 2875 R(x,y,1 / y) / (y \ 1) = x * y. [hyper(87,a,2873,a)]. given #2737 (H,wt=16): 2877 R(x,y,1 / y) != z | R(x,y,y \ 1) = z. [para(2873(a,1),477(a,1))]. given #2738 (H,wt=17): 2843 (K(x,x \ 1) * y) * x = y * ((x \ 1) \ 1). [para(2500(a,2),2826(a,1,1))]. given #2739 (H,wt=17): 2845 K(x \ 1,x) * (y * x) = y * (1 / (1 / x)). [hyper(18,a,2749,a,b,2838,a)]. given #2740 (H,wt=17): 2851 (x / (1 / y)) * K(y,y \ 1) = x / (y \ 1). [para(2742(a,1),2838(a,1,1))]. given #2741 (H,wt=17): 2861 K(x,x \ 1) * (y / (1 / x)) = y / (x \ 1). [para(2742(a,1),2844(a,1,2))]. given #2742 (H,wt=17): 2862 K(x,x \ 1) * (y * (x \ 1)) = y * (1 / x). [para(2744(a,1),2844(a,1,2))]. given #2743 (H,wt=17): 2865 (x / (y \ 1)) * (1 / y) = x * K(y,y \ 1). [hyper(236,a,2734,a,b,2852,a(flip)),flip(a)]. given #2744 (H,wt=17): 2878 (K(x,x \ 1) * y) * x = y * T(x,x \ 1). [hyper(236,a,257,a,b,2843,a)]. given #2745 (H,wt=18): 2847 K(x \ 1,x) * (y / (x * y)) = R(x \ 1,x,y). [hyper(2137,a,2838,a(flip)),flip(a)]. given #2746 (H,wt=13): 2885 K(x / (y * x),y) = K(y \ 1,y). [hyper(18,a,2157,a,b,2847,a),flip(a)]. given #2747 (H,wt=17): 2886 K((x / y) \ 1,x / y) = K(y / x,x / y). [para(16(a,1),2885(a,1,1,2)),flip(a)]. given #2748 (H,wt=18): 2848 x * K(y,y \ 1) != z | K(y \ 1,y) * z = x. [para(2838(a,1),20(a,1)),flip(a)]. given #2749 (H,wt=18): 2853 K(x \ 1,x) * y != z | z * K(x,x \ 1) = y. [para(2839(a,1),19(a,1)),flip(a)]. given #2750 (H,wt=18): 2855 x * K(y \ 1,y) != z | z * K(y,y \ 1) = x. [para(2839(a,1),2520(a,1)),flip(a),flip(b)]. given #2751 (H,wt=18): 2860 K(x,x \ 1) * y != z | K(x \ 1,x) * z = y. [para(2844(a,1),19(a,1)),flip(a)]. given #2752 (H,wt=18): 2863 K(x \ 1,x) * y != z | K(x,x \ 1) * z = y. [para(2846(a,1),19(a,1)),flip(a)]. given #2753 (H,wt=18): 2864 x * K(y \ 1,y) != z | K(y,y \ 1) * z = x. [para(2846(a,1),2520(a,1)),flip(a),flip(b)]. given #2754 (H,wt=18): 2866 (x * K(y \ 1,y)) * K(y,y \ 1) != z | z = x. [para(2852(a,1),296(a,1))]. given #2755 (H,wt=18): 2869 K(x,x \ 1) * y != z | z * K(x \ 1,x) = y. [para(2858(a,1),19(a,1)),flip(a)]. given #2756 (H,wt=18): 2876 T(R(x,y,1 / y),z) / (y \ 1) = T(x,z) * y. [hyper(74,a,42,a(flip),b,2873,a)]. given #2757 (H,wt=19): 2834 (T(x,y) \ 1) * K(x,x \ 1) = (T(x,y) \ x) / x. [hyper(74,a,2554,a(flip),b,2826,a),flip(a)]. given #2758 (H,wt=13): 2890 K(x,T(x,y) \ 1) = K(x,x \ 1). [hyper(17,a,2112,a,b,2834,a),flip(a)]. given #2759 (H,wt=15): 2892 T(K(x,x \ 1),y) = K(x,T(x,z) \ 1). [hyper(236,a,2497,a,b,2890,a),flip(a)]. given #2760 (H,wt=16): 2894 K(x,T(x,y) \ 1) != z | K(x,x \ 1) = z. [para(2892(a,1),223(a,1)),flip(b)]. given #2761 (H,wt=19): 2856 (x / y) * y = (x * K(z,z \ 1)) * K(z \ 1,z). [hyper(236,a,16,a,b,2840,a),flip(a)]. given #2762 (H,wt=19): 2883 (x / (1 / (1 / y))) / (1 / y) = (x / y) / (y \ 1). [hyper(74,a,2751,a(flip),b,2865,a)]. given #2763 (H,wt=19): 2884 (K(x,x \ 1) * y) * x = K(x,x \ 1) * (y * x). [hyper(236,a,2830,a,b,2878,a)]. given #2764 (H,wt=10): 2897 L(x,y,K(x,x \ 1)) = x. [hyper(436,a,2884,a)]. given #2765 (H,wt=14): 2898 L(1 / x,y,K(x \ 1,x)) = 1 / x. [para(1800(a,1),2897(a,1,3))]. given #2766 (H,wt=18): 2899 L(T(1 / x,y),z,K(x \ 1,x)) = T(1 / x,y). [para(2898(a,1),40(a,2,1))]. given #2767 (H,wt=20): 2828 (x * y) * K(y,y \ 1) != z | x * T(y,y \ 1) = z. [para(2822(a,2),651(a,1))]. given #2768 (H,wt=20): 2832 x * T(y,y \ 1) != z | K(y,y \ 1) * (x * y) = z. [para(2823(a,1),2502(a,1))]. given #2769 (H,wt=20): 2841 x * ((y \ 1) \ 1) != z * y | x * K(y,y \ 1) = z. [para(2826(a,1),20(a,1))]. given #2770 (H,wt=20): 2842 (x * K(y,y \ 1)) * y != z * ((y \ 1) \ 1) | z = x. [para(2826(a,2),20(a,2)),flip(a)]. given #2771 (H,wt=20): 2849 ((x \ 1) * (x * y)) * K(x,x \ 1) = L(y,x,x \ 1). [para(446(a,1),2838(a,1,1))]. given #2772 (H,wt=20): 2879 x * ((y \ 1) \ 1) != z * y | K(y,y \ 1) * x = z. [para(2843(a,1),20(a,1))]. given #2773 (H,wt=20): 2880 (K(x,x \ 1) * y) * x != z * ((x \ 1) \ 1) | z = y. [para(2843(a,2),20(a,2)),flip(a)]. given #2774 (H,wt=20): 2882 K(x,x \ 1) * y != z * (1 / x) | z * (x \ 1) = y. [para(2862(a,1),19(a,1)),flip(a)]. given #2775 (H,wt=21): 2730 K((x * y) \ y,y \ (x * y)) = K(T(x,y) \ 1,T(x,y)). [para(32(a,1),2728(a,2,2)),flip(a)]. given #2776 (H,wt=21): 2770 (1 / x) \ ((y * (1 / (1 / x))) \ y) = x * ((y * x) \ y). [hyper(72,a,2769,a(flip),b,854,a)]. given #2777 (H,wt=21): 2773 (x * (1 / (1 / T(y,x)))) \ x = 1 / (1 / ((y * x) \ x)). [para(32(a,2),2761(a,1,1,2,2,2))]. given #2778 (H,wt=21): 2815 (x * (y \ 1)) * ((y \ 1) \ 1) != z | R(x,y \ 1,y) = z. [para(2797(a,2),2814(a,1))]. given #2779 (H,wt=21): 2888 K((x / (y * x)) \ 1,x / (y * x)) = K(y,x / (y * x)). [para(15(a,1),2886(a,2,1))]. given #2780 (H,wt=19): 2903 K((x / (y * x)) \ 1,x / (y * x)) = K(y,y \ 1). [hyper(236,a,2621,a(flip),b,2888,a)]. given #2781 (H,wt=17): 2905 K(x,x \ 1) * (x * y) = T(x,x \ 1) * y. [para(2903(a,1),2143(a,1,1))]. given #2782 (H,wt=10): 2908 L(x,y,K(y,y \ 1)) = x. [hyper(1747,a,2905,a(flip))]. given #2783 (H,wt=12): 2912 L(x,K(y \ 1,y),1 / y) = x. [hyper(236,a,1895,a(flip),b,2908,a(flip)),flip(a)]. given #2784 (H,wt=12): 2913 L(x,1 / y,K(1 / y,y)) = x. [para(65(a,1),2908(a,1,3,2))]. given #2785 (H,wt=12): 2914 L(x,1 / y,K(y \ 1,y)) = x. [para(1800(a,1),2908(a,1,3))]. given #2786 (H,wt=14): 2917 L(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1802(a,1),2913(a,1,3))]. given #2787 (H,wt=14): 2920 L(x \ y,x,x \ 1) = (1 / x) * y. [para(2914(a,1),1889(a,1,1,2))]. given #2788 (H,wt=14): 2923 (1 / x) * (x * y) = L(y,x,x \ 1). [para(13(a,1),2920(a,1,1)),flip(a)]. given #2789 (H,wt=13): 2926 L(x,y,1 / y) = L(x,y,y \ 1). [hyper(449,a,2923,a)]. given #2790 (H,wt=14): 2927 (1 / x) \ L(y,x,x \ 1) = x * y. [hyper(80,a,2923,a)]. given #2791 (H,wt=16): 2924 L(T(x,y),y,y \ 1) = (1 / y) * (x * y). [para(32(a,2),2920(a,1,1))]. given #2792 (H,wt=17): 2906 (x * y) * K(x,x \ 1) = T(x,x \ 1) * y. [hyper(2506,a,2905,a)]. given #2793 (H,wt=17): 2907 T(x,x \ 1) \ (K(x,x \ 1) * y) = x \ y. [hyper(551,a,2905,a)]. given #2794 (H,wt=17): 2909 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) = x. [hyper(74,a,2905,a(flip),b,1857,a(flip))]. given #2795 (H,wt=10): 2938 R(x,K(x,x \ 1),y) = x. [hyper(1825,a,2909,a)]. given #2796 (H,wt=14): 2940 R(1 / x,K(x \ 1,x),y) = 1 / x. [para(1800(a,1),2938(a,1,2))]. given #2797 (H,wt=17): 2916 (1 / x) * (K(x \ 1,x) * y) = (x \ 1) * y. [para(2912(a,1),1439(a,1,2)),flip(a)]. given #2798 (H,wt=17): 2918 K(x \ 1,x) * ((x \ 1) \ y) = (1 / x) \ y. [hyper(236,a,2114,a(flip),b,2914,a(flip)),flip(a)]. given #2799 (H,wt=17): 2919 K(x \ 1,x) * ((1 / x) * y) = (x \ 1) * y. [para(2914(a,1),1743(a,1,2)),flip(a)]. given #2800 (H,wt=15): 2962 T(x,(1 / x) * y) = T(x,(x \ 1) * y). [para(2919(a,1),2850(a,1,2)),flip(a)]. given #2801 (H,wt=17): 2921 K(x,x \ 1) * ((1 / (1 / x)) * y) = x * y. [para(2917(a,1),1791(a,1,2)),flip(a)]. given #2802 (H,wt=17): 2928 L(x \ y,x,x \ 1) != z | (1 / x) * y = z. [para(2923(a,1),307(a,1))]. given #2803 (H,wt=17): 2930 L(x,y \ 1,(y \ 1) \ 1) = L(x,y \ 1,y). [para(62(a,1),2926(a,1,3)),flip(a)]. given #2804 (H,wt=17): 2932 (1 / x) * (x * y) != z | L(y,x,x \ 1) = z. [para(2927(a,1),216(a,1,2)),flip(b)]. given #2805 (H,wt=17): 2934 (x * y) * K(x,x \ 1) = ((x \ 1) \ 1) * y. [hyper(236,a,256,a(flip),b,2906,a)]. given #2806 (H,wt=17): 2936 x \ (K(x \ 1,x) * y) = T(x,x \ 1) \ y. [para(2844(a,1),2907(a,1,2)),flip(a)]. given #2807 (H,wt=17): 2937 x \ (y * K(x \ 1,x)) = T(x,x \ 1) \ y. [para(2858(a,1),2907(a,1,2)),flip(a)]. given #2808 (H,wt=17): 2946 (x \ 1) * (K(x,x \ 1) * y) = (1 / x) * y. [para(2846(a,1),2916(a,1,2)),flip(a)]. given #2809 (H,wt=17): 2947 K(x,x \ 1) * ((1 / x) \ y) = (x \ 1) \ y. [hyper(2863,a,2918,a)]. given #2810 (H,wt=17): 2948 ((1 / x) \ y) * K(x,x \ 1) = (x \ 1) \ y. [hyper(2853,a,2918,a)]. given #2811 (H,wt=17): 2949 ((x \ 1) \ y) * K(x \ 1,x) = (1 / x) \ y. [hyper(2521,a,2918,a)]. given #2812 (H,wt=17): 2951 (x \ 1) \ (K(x \ 1,x) * y) = (1 / x) \ y. [hyper(236,a,1897,a,b,2918,a(flip)),flip(a)]. given #2813 (H,wt=17): 2952 (x \ 1) * ((1 / x) \ y) = K(x \ 1,x) * y. [para(2918(a,1),1896(a,1,2))]. given #2814 (H,wt=17): 2955 K(x,x \ 1) * ((x \ 1) * y) = (1 / x) * y. [hyper(2863,a,2919,a)]. given #2815 (H,wt=14): 2973 x \ L(y,1 / x,x) = (x \ 1) * y. [hyper(1861,a,2955,a)]. given #2816 (H,wt=13): 2976 L(x,1 / y,y) = L(x,y \ 1,y). [hyper(795,a,2973,a)]. given #2817 (H,wt=17): 2956 ((x \ 1) * y) * K(x,x \ 1) = (1 / x) * y. [hyper(2853,a,2919,a)]. given #2818 (H,wt=17): 2957 ((1 / x) * y) * K(x \ 1,x) = (x \ 1) * y. [hyper(2521,a,2919,a)]. given #2819 (H,wt=17): 2964 (x * y) * K(x \ 1,x) = (1 / (1 / x)) * y. [hyper(2869,a,2921,a)]. given #2820 (H,wt=17): 2965 K(x \ 1,x) * (x * y) = (1 / (1 / x)) * y. [hyper(2860,a,2921,a)]. given #2821 (H,wt=17): 2967 K(x \ 1,x) * (((x \ 1) \ 1) * y) = x * y. [hyper(2848,a,2934,a)]. given #2822 (H,wt=17): 2968 x * (y * K(x,x \ 1)) = ((x \ 1) \ 1) * y. [hyper(236,a,2350,a(flip),b,2934,a(flip)),flip(a)]. given #2823 (H,wt=17): 2969 x \ (K(x \ 1,x) * y) = ((x \ 1) \ 1) \ y. [hyper(236,a,637,a(flip),b,2936,a)]. given #2824 (H,wt=17): 2971 (x \ 1) * ((1 / x) \ y) = y * K(x \ 1,x). [hyper(236,a,2516,a(flip),b,2952,a)]. given #2825 (H,wt=17): 2977 L(x,(y \ 1) \ 1,y \ 1) = L(x,y,y \ 1). [para(62(a,1),2976(a,1,2)),flip(a)]. given #2826 (H,wt=17): 2981 (1 / (1 / x)) * (x \ y) = K(x \ 1,x) * y. [hyper(307,a,2965,a),flip(a)]. given #2827 (H,wt=17): 2982 x * (K(x \ 1,x) * y) = (1 / (1 / x)) * y. [hyper(236,a,1430,a(flip),b,2965,a(flip)),flip(a)]. given #2828 (H,wt=17): 2983 x * (((x \ 1) \ 1) \ y) = K(x \ 1,x) * y. [hyper(307,a,2967,a),flip(a)]. given #2829 (H,wt=17): 2984 ((x \ 1) \ 1) * (K(x \ 1,x) * y) = x * y. [hyper(17,a,1430,a,b,2967,a)]. given #2830 (H,wt=17): 2986 (((x \ 1) \ 1) \ y) * K(x,x \ 1) = x \ y. [hyper(72,a,14,a(flip),b,2968,a),flip(a)]. given #2831 (H,wt=17): 2993 K(x \ 1,x) * ((1 / (1 / x)) \ y) = x \ y. [hyper(72,a,14,a(flip),b,2982,a),flip(a)]. given #2832 (H,wt=17): 2994 x * (((x \ 1) \ 1) \ y) = y * K(x \ 1,x). [hyper(236,a,2516,a(flip),b,2983,a)]. given #2833 (H,wt=17): 2995 K(x \ 1,x) * (x \ y) = ((x \ 1) \ 1) \ y. [hyper(17,a,1429,a,b,2983,a),flip(a)]. given #2834 (H,wt=17): 2996 ((x \ 1) \ 1) \ (x * y) = K(x \ 1,x) * y. [hyper(17,a,1430,a(flip),b,2983,a)]. given #2835 (H,wt=17): 2997 ((x \ 1) \ 1) \ (x * y) = y * K(x \ 1,x). [hyper(72,a,2984,a(flip),b,2522,a(flip))]. given #2836 (H,wt=17): 3000 K(x,x \ 1) * (((x \ 1) \ 1) \ y) = x \ y. [hyper(2502,a,2986,a)]. given #2837 (H,wt=17): 3002 (x \ y) * K(x \ 1,x) = ((x \ 1) \ 1) \ y. [para(2986(a,1),2840(a,1,1))]. given #2838 (H,wt=17): 3003 (x \ y) * K(x,x \ 1) = (1 / (1 / x)) \ y. [hyper(2853,a,2993,a)]. given #2839 (H,wt=17): 3007 x * T(x \ (y \ x),y) = ((y \ 1) \ 1) \ x. [hyper(236,a,1106,a(flip),b,2995,a(flip)),flip(a)]. given #2840 (H,wt=17): 3008 T(x \ (y \ x),y) = x \ (((y \ 1) \ 1) \ x). [hyper(72,a,2995,a(flip),b,1106,a(flip)),flip(a)]. given #2841 (H,wt=18): 2922 L((x \ 1) \ y,x \ 1,(x \ 1) \ 1) = x * y. [hyper(236,a,134,a(flip),b,2920,a)]. given #2842 (H,wt=18): 2931 (1 / (1 / x)) \ L(y,1 / x,x) = (1 / x) * y. [para(65(a,1),2927(a,1,2,3))]. given #2843 (H,wt=18): 2933 x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x. [para(2924(a,1),181(a,1,2))]. given #2844 (H,wt=18): 2991 L(((x \ 1) \ 1) \ y,x,x \ 1) = (x \ 1) * y. [hyper(537,a,2977,a),flip(a)]. given #2845 (H,wt=19): 2944 (1 / x) * (y / (1 / x)) = (x \ 1) * (y / (x \ 1)). [para(2742(a,1),2916(a,1,2))]. given #2846 (H,wt=19): 2945 (x \ 1) * (y * T(x,x \ 1)) = (1 / x) * (y * x). [para(2789(a,1),2916(a,1,2)),flip(a)]. given #2847 (H,wt=19): 2963 T(x \ 1,((x \ 1) \ 1) * y) = T(x \ 1,x * y). [para(62(a,1),2962(a,1,2,1)),flip(a)]. given #2848 (H,wt=19): 2970 ((1 / x) \ y) * (1 / x) = ((x \ 1) \ y) * (x \ 1). [para(2949(a,1),2741(a,1,1))]. given #2849 (H,wt=19): 2980 ((1 / (1 / x)) * y) * (1 / x) = (x * y) * (x \ 1). [para(2964(a,1),2741(a,1,1))]. given #2850 (H,wt=19): 2987 ((x \ 1) \ 1) * (y / ((x \ 1) \ 1)) = x * (y / x). [para(2836(a,1),2968(a,1,2)),flip(a)]. given #2851 (H,wt=19): 2988 ((x \ 1) \ 1) * ((x \ 1) * y) = x * ((1 / x) * y). [para(2956(a,1),2968(a,1,2)),flip(a)]. given #2852 (H,wt=19): 2990 ((x \ 1) \ 1) \ ((x \ 1) \ y) = x \ ((1 / x) \ y). [para(2918(a,1),2969(a,1,2)),flip(a)]. given #2853 (H,wt=19): 2992 (1 / (1 / x)) * (x \ (y * x)) = y * (1 / (1 / x)). [hyper(236,a,2845,a(flip),b,2981,a)]. given #2854 (H,wt=11): 3017 T(x,1 / (1 / y)) = T(x,y). [hyper(168,a,2992,a(flip),b,116,a(flip))]. given #2855 (H,wt=11): 3019 T(x,1 / y) = T(x,y \ 1). [para(62(a,1),3017(a,1,2,2))]. given #2856 (H,wt=11): 3020 T(x,(y \ 1) \ 1) = T(x,y). [para(139(a,1),3017(a,1,2)),flip(a)]. given #2857 (H,wt=11): 3029 T(x,T(y,y \ 1)) = T(x,y). [para(120(a,2),3020(a,1,2))]. given #2858 (H,wt=13): 3028 x * T(y,(x \ 1) \ 1) = y * x. [para(3020(a,2),119(a,1,2))]. given #2859 (H,wt=15): 3024 (1 / x) * T(y,x \ 1) = y * (1 / x). [para(3019(a,1),119(a,1,2))]. given #2860 (H,wt=11): 3037 T(K(x,y),y \ 1) = K(x,y). [hyper(17,a,2230,a(flip),b,3024,a)]. given #2861 (H,wt=11): 3039 T(x \ 1,K(y,x)) = x \ 1. [hyper(35,a,3037,a)]. given #2862 (H,wt=15): 3031 T(x,T(y \ z,z \ y)) = T(x,y \ z). [para(2278(a,2),3020(a,1,2))]. given #2863 (H,wt=15): 3032 T(x,T(1 / y,z)) = T(x,T(y \ 1,z)). [para(2483(a,1),3020(a,1,2)),flip(a)]. given #2864 (H,wt=15): 3041 K(x,y \ 1) * y = y * K(x,y \ 1). [para(3037(a,1),3028(a,1,2)),flip(a)]. given #2865 (H,wt=16): 3021 T(x,L(1 / y,y,z)) = T(x,(z * y) \ z). [para(2702(a,2),3017(a,1,2))]. given #2866 (H,wt=16): 3030 T(x,R(y \ 1,y,z)) = T(x,z / (y * z)). [para(2148(a,2),3020(a,1,2))]. given #2867 (H,wt=16): 3042 T((x * y) \ x,K(z,y)) = L(y \ 1,y,x). [para(3039(a,1),351(a,2,1))]. given #2868 (H,wt=17): 3026 T(T(x,y),K(z,z \ 1)) = T(x,(y \ 1) \ 1). [hyper(236,a,2498,a,b,3020,a),flip(a)]. given #2869 (H,wt=17): 3027 ((x \ 1) \ 1) * T(y,x) = y * ((x \ 1) \ 1). [para(3020(a,1),119(a,1,2))]. given #2870 (H,wt=17): 3033 T(x,T(y \ (z \ y),z)) = T(x,y \ (z \ y)). [para(2576(a,2),3020(a,1,2))]. given #2871 (H,wt=17): 3036 T(x,x \ 1) * T(y,x) = y * T(x,x \ 1). [para(3029(a,1),119(a,1,2))]. given #2872 (H,wt=17): 3044 T(x,R(1 / y,y,z)) = T(x,R(y \ 1,y,z)). [para(159(a,2),3030(a,2,2)),flip(a)]. given #2873 (H,wt=17): 3047 ((x \ 1) \ 1) * T(y,x) = y * T(x,x \ 1). [hyper(236,a,257,a,b,3027,a)]. given #2874 (H,wt=18): 3038 (1 / x) * y != z * (1 / x) | T(z,x \ 1) = y. [para(3024(a,1),19(a,1)),flip(a)]. given #2875 (H,wt=19): 3001 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = (x \ y) * x. [para(2986(a,1),2826(a,1,1)),flip(a)]. given #2876 (H,wt=19): 3004 ((1 / (1 / x)) \ y) * x = (x \ y) * ((x \ 1) \ 1). [para(2993(a,1),2796(a,1,1)),flip(a)]. given #2877 (H,wt=19): 3010 ((1 / (1 / x)) \ y) / (1 / x) = (x \ y) / (x \ 1). [hyper(74,a,3003,a(flip),b,2865,a)]. given #2878 (H,wt=19): 3011 x * (((x \ (y \ x)) \ 1) \ 1) = ((y \ 1) \ 1) \ x. [para(2576(a,1),3007(a,1,2))]. given #2879 (H,wt=19): 3012 T(x \ ((1 / y) \ x),1 / y) = x \ ((y \ 1) \ x). [para(65(a,1),3008(a,2,2,1,1))]. given #2880 (H,wt=19): 3023 T(x \ (x / (1 / y)),y \ 1) = x \ (x / (y \ 1)). [hyper(236,a,2780,a(flip),b,3019,a(flip))]. given #2881 (H,wt=19): 3053 (((x / y) \ 1) \ 1) \ x = x * (((x \ y) \ 1) \ 1). [para(65(a,1),3011(a,1,2,1,1,2)),flip(a)]. given #2882 (H,wt=19): 3055 1 / (x \ ((y \ 1) \ x)) = (x \ ((1 / y) \ x)) \ 1. [para(3012(a,1),2577(a,1,2))]. given #2883 (H,wt=19): 3056 x / (x * (((x \ y) \ 1) \ 1)) = ((x / y) \ 1) \ 1. [para(3053(a,1),62(a,1,2))]. given #2884 (H,wt=19): 3057 (x \ ((1 / (1 / y)) \ x)) \ 1 = 1 / (x \ (y \ x)). [para(65(a,1),3055(a,1,2,2,1)),flip(a)]. given #2885 (H,wt=19): 3058 x / (x * ((y \ 1) \ 1)) = ((x / (x * y)) \ 1) \ 1. [para(13(a,1),3056(a,1,2,2,1,1))]. given #2886 (H,wt=17): 3061 T(x / (x * y),y) = x / (x * ((y \ 1) \ 1)). [hyper(236,a,2583,a,b,3058,a),flip(a)]. given #2887 (H,wt=17): 3062 x / (x * T(y,y \ 1)) = T(x / (x * y),y). [para(120(a,2),3061(a,2,2,2)),flip(a)]. given #2888 (H,wt=17): 3063 T(x / (x * y),y) \ x = x * T(y,y \ 1). [para(3062(a,1),65(a,1,1))]. given #2889 (H,wt=19): 3059 x / ((((y / x) \ 1) \ 1) * x) = ((x / y) \ 1) \ 1. [para(2492(a,2),3056(a,1,2))]. given #2890 (H,wt=19): 3060 1 / (1 / (x \ (y \ x))) = x \ ((1 / (1 / y)) \ x). [para(3057(a,1),62(a,1,2))]. given #2891 (H,wt=19): 3064 x / (((y \ 1) \ 1) * x) = ((x / (y * x)) \ 1) \ 1. [para(15(a,1),3059(a,1,2,1,1,1))]. given #2892 (H,wt=16): 3066 R(x \ 1,x,y) = y / (((x \ 1) \ 1) * y). [hyper(236,a,2148,a,b,3064,a),flip(a)]. given #2893 (H,wt=16): 3069 x / (T(y,y \ 1) * x) = R(y \ 1,y,x). [para(120(a,2),3066(a,2,2,1)),flip(a)]. given #2894 (H,wt=17): 3067 R(x \ 1,(x \ 1) \ 1,y) = R(x \ 1,x,y). [hyper(236,a,156,a,b,3066,a),flip(a)]. given #2895 (H,wt=19): 3065 x * (1 / (1 / (x \ (y \ x)))) = (1 / (1 / y)) \ x. [para(3060(a,2),14(a,1,2))]. given #2896 (H,wt=19): 3070 ((1 / (1 / x)) \ y) / y = 1 / (1 / ((x \ y) / y)). [para(3065(a,1),2553(a,1,1))]. given #2897 (H,wt=19): 3071 1 / (1 / (((x \ 1) \ y) / y)) = ((1 / x) \ y) / y. [para(62(a,1),3070(a,1,1,1,2)),flip(a)]. given #2898 (H,wt=19): 3072 ((((1 / x) \ y) / y) \ 1) \ 1 = ((x \ 1) \ y) / y. [para(3071(a,1),144(a,1,1,1))]. given #2899 (H,wt=20): 2935 T(x,x \ 1) * y != z * K(x,x \ 1) | x * y = z. [para(2906(a,1),20(a,1))]. given #2900 (H,wt=20): 2939 T(x,x \ 1) * y != x * z | K(x,x \ 1) * y = z. [para(2909(a,1),81(a,1,1)),flip(a),flip(b)]. given #2901 (H,wt=20): 2943 (x \ 1) * y != (1 / x) * z | K(x \ 1,x) * y = z. [para(2916(a,1),19(a,1))]. given #2902 (H,wt=20): 2953 (1 / x) \ y != z * K(x \ 1,x) | (x \ 1) \ y = z. [para(2918(a,1),2520(a,1)),flip(b)]. given #2903 (H,wt=20): 2954 (1 / x) \ y != z | ((x \ 1) \ y) * K(x \ 1,x) = z. [para(2918(a,1),2521(a,1))]. given #2904 (H,wt=20): 2961 (x \ 1) * y != z * K(x \ 1,x) | (1 / x) * y = z. [para(2919(a,1),2520(a,1)),flip(b)]. given #2905 (H,wt=20): 2985 x * K(y \ 1,y) != y * z | ((y \ 1) \ 1) * z = x. [para(2967(a,1),2520(a,1)),flip(a),flip(b)]. given #2906 (H,wt=20): 3005 x * K(y \ 1,y) != y * z | ((y \ 1) \ 1) \ x = z. [para(2994(a,1),19(a,1))]. given #2907 (H,wt=20): 3009 ((x \ 1) \ 1) \ y != z | (x \ y) * K(x \ 1,x) = z. [para(2995(a,1),2521(a,1))]. given #2908 (H,wt=20): 3013 L(x * K(y \ 1,y),y,y \ 1) = (y \ 1) * (y * x). [para(2997(a,1),2991(a,1,1))]. given #2909 (H,wt=20): 3046 T(x \ y,K(z,y \ x)) = L((y \ x) \ 1,y \ x,y). [para(14(a,1),3042(a,1,1,1))]. given #2910 (H,wt=13): 3074 T(x \ y,K(z,y \ x)) = x \ y. [hyper(236,a,347,a(flip),b,3046,a)]. given #2911 (H,wt=19): 3075 K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z). [para(3074(a,1),119(a,1,2))]. given #2912 (H,wt=20): 3048 ((x \ 1) \ 1) * T(y,x) != z | y * T(x,x \ 1) = z. [para(3027(a,2),651(a,1))]. given #2913 (H,wt=20): 3050 (x * ((y * (x \ 1)) / y)) * y = T(y,R(x \ 1,x,y)). [hyper(236,a,1341,a,b,3044,a(flip)),flip(a)]. given #2914 (H,wt=21): 2895 T(K(T(x,y),1 / x),z) = K(T(x,y),T(T(x,y),u) \ 1). [para(2474(a,1),2892(a,1,1))]. given #2915 (H,wt=21): 2902 (x * T(1 / (1 / y),x)) \ x = 1 / (1 / ((y * x) \ x)). [para(2482(a,1),2773(a,1,1,2))]. given #2916 (H,wt=19): 3080 1 / (1 / ((x * y) \ y)) = ((1 / (1 / x)) * y) \ y. [hyper(518,a,2902,a),flip(a)]. given #2917 (H,wt=19): 3081 (((1 / (1 / x)) * y) \ y) \ 1 = 1 / ((x * y) \ y). [para(3080(a,1),65(a,1,1))]. given #2918 (H,wt=19): 3082 1 / (((x \ 1) * y) \ y) = (((1 / x) * y) \ y) \ 1. [para(62(a,1),3081(a,1,1,1,1,2)),flip(a)]. given #2919 (H,wt=19): 3083 ((((1 / x) * y) \ y) \ 1) \ 1 = ((x \ 1) * y) \ y. [para(3082(a,1),65(a,1,1))]. given #2920 (H,wt=21): 2925 L((x \ 1) * y,x,x \ 1) = (1 / x) * L(y,x \ 1,x). [para(392(a,1),2920(a,1,1))]. given #2921 (H,wt=21): 2978 (1 / x) * (y * K(1 / x,(1 / x) \ 1)) = (x \ 1) * y. [hyper(236,a,2352,a,b,2957,a(flip)),flip(a)]. given #2922 (H,wt=21): 2989 (x \ 1) \ (K(x,x \ 1) * y) = (((x \ 1) \ 1) \ 1) \ y. [para(1804(a,1),2969(a,1,2,1))]. given #2923 (H,wt=21): 3016 (1 / x) * ((y * (x \ 1)) \ y) = x \ ((y * (x \ 1)) \ y). [hyper(2293,a,2988,a),flip(a)]. given #2924 (H,wt=21): 3052 (x \ y) * K(x \ 1,x) = y * (((y \ (x \ y)) \ 1) \ 1). [hyper(236,a,3002,a,b,3011,a),flip(a)]. given #2925 (H,wt=19): 3086 K(((x \ y) \ y) \ 1,(x \ y) \ y) = K(x \ 1,x). [hyper(17,a,2289,a,b,3052,a),flip(a)]. given #2926 (H,wt=21): 3078 K(T(x,y),T(T(x,y),z) \ 1) = K(T(x,y),1 / T(x,u)). [hyper(236,a,2466,a,b,2895,a(flip))]. given #2927 (H,wt=19): 3087 K(T(x,y),T(x,y) \ 1) = K(T(x,y),1 / T(x,z)). [hyper(2894,a,3078,a)]. given #2928 (H,wt=17): 3089 K(T(x,y),T(x,y) \ 1) = K(T(x,y),x \ 1). [para(197(a,1),3087(a,2,2))]. given #2929 (H,wt=15): 3090 K(T(x,y),1 / x) = K(T(x,y),x \ 1). [hyper(236,a,2474,a(flip),b,3089,a(flip)),flip(a)]. given #2930 (H,wt=22): 2698 L(1 / (1 / (x \ (y \ z))),x,y) = 1 / (1 / ((y * x) \ z)). [para(227(a,1),2695(a,2,2,2))]. given #2931 (H,wt=22): 2772 L((1 / x) * T((1 / x) \ 1,y),x,y) = K(1 / (1 / x),y). [para(65(a,1),2771(a,1,2))]. given #2932 (H,wt=16): 3092 L(T(x,y) / x,x,y) = K(1 / (1 / x),y). [para(1591(a,1),2772(a,1,1))]. given #2933 (H,wt=15): 3093 K(1 / (1 / x),y) = (x * K(x,y)) / x. [hyper(236,a,821,a(flip),b,3092,a(flip))]. given #2934 (H,wt=13): 3094 T(K(1 / (1 / x),y),x) = K(x,y). [para(3093(a,2),162(a,1,1))]. given #2935 (H,wt=21): 3095 T(K(1 / (x \ 1),y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(197(a,1),3094(a,1,1,1,2))]. given #2936 (H,wt=17): 3096 T(K(x,y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(62(a,1),3095(a,1,1,1))]. given #2937 (H,wt=13): 3097 K(T(x,x \ 1),y) = T(K(x,y),x). [hyper(236,a,3029,a(flip),b,3096,a(flip))]. given #2938 (H,wt=13): 3098 T(K(x,y),x) = K((x \ 1) \ 1,y). [para(120(a,1),3097(a,1,1)),flip(a)]. given #2939 (H,wt=22): 2889 K((x / y) \ 1,x / y) != z | K(y / x,(y / x) \ 1) = z. [para(2886(a,2),2624(a,1))]. given #2940 (H,wt=22): 2891 (T(x,y) \ x) / x != (T(x,y) \ 1) * z | K(x,x \ 1) = z. [para(2834(a,1),19(a,1))]. given #2941 (H,wt=22): 2896 (x / y) * y != z * K(u \ 1,u) | x * K(u,u \ 1) = z. [para(2856(a,2),20(a,1))]. given #2942 (H,wt=22): 3014 (x * y) * (x \ 1) != z * (1 / x) | (1 / (1 / x)) * y = z. [para(2980(a,1),20(a,1))]. given #2943 (H,wt=22): 3073 L((x \ 1) * ((1 / x) \ y),x,x \ 1) = (x \ 1) * (x * y). [para(2971(a,2),3013(a,1,1))]. given #2944 (H,wt=23): 2705 1 / (1 / L(L(x \ 1,y,z),u,w)) = L(L(1 / x,y,z),u,w). [para(2697(a,1),2695(a,1,1)),flip(a)]. given #2945 (H,wt=23): 2802 ((x / (x * y)) * y) * (1 / y) = (y * (x / (x * y))) * (y \ 1). [para(2574(a,1),2792(a,1,1)),flip(a)]. given #2946 (H,wt=19): 3099 (1 / (1 / x)) * (y / (y * x)) = (y / (y * x)) * x. [hyper(18,a,2980,a,b,2802,a),flip(a)]. given #2947 (H,wt=13): 3100 T(1 / (1 / x),y / (y * x)) = x. [hyper(168,a,3099,a,b,xx)]. given #2948 (H,wt=13): 3102 T(1 / (1 / x),(y / x) / y) = x. [para(16(a,1),3100(a,1,2,2))]. given #2949 (H,wt=19): 3103 (1 / (1 / x)) \ (((y / x) / y) * x) = (y / x) / y. [para(3102(a,1),164(a,1,2,2))]. given #2950 (H,wt=23): 2818 ((x * (1 / y)) \ x) * (1 / y) = (1 / y) * ((x * (y \ 1)) \ x). [para(2801(a,1),2306(a,1,2)),flip(a)]. given #2951 (H,wt=21): 3105 ((x * (1 / y)) \ x) * (1 / y) = y \ ((x * (y \ 1)) \ x). [hyper(236,a,3016,a(flip),b,2818,a)]. given #2952 (H,wt=23): 2819 (((x * (y / (x * y))) \ x) \ 1) \ 1 = ((y / (x * y)) * x) \ x. [para(2149(a,1),2817(a,2,1))]. given #2953 (H,wt=21): 3106 ((1 / (x / (y * x))) \ 1) \ 1 = ((x / (y * x)) * y) \ y. [para(2152(a,1),2819(a,1,1,1))]. given #2954 (H,wt=17): 3107 ((x / (y * x)) * y) \ y = (x / (y * x)) \ 1. [para(65(a,1),3106(a,1,1)),flip(a)]. given #2955 (H,wt=23): 2827 (x * y) * K(T(x,y),T(x,y) \ 1) = y * ((T(x,y) \ 1) \ 1). [para(119(a,1),2822(a,1,1))]. given #2956 (H,wt=21): 3110 (x * y) * K(T(x,y),1 / x) = y * ((T(x,y) \ 1) \ 1). [para(2474(a,1),2827(a,1,2))]. given #2957 (H,wt=19): 3111 (x * y) * K(T(x,y),1 / x) = ((x \ 1) \ 1) * y. [hyper(236,a,2484,a(flip),b,3110,a)]. given #2958 (H,wt=19): 3112 (x * y) * K(T(x,y),x \ 1) = ((x \ 1) \ 1) * y. [para(3090(a,1),3111(a,1,2))]. given #2959 (H,wt=13): 3113 K(T(x,y),x \ 1) = K(x,x \ 1). [hyper(17,a,2934,a,b,3112,a)]. given #2960 (H,wt=15): 3115 K(T(x,y),T(x,y) \ 1) = K(x,x \ 1). [hyper(236,a,3089,a,b,3113,a(flip)),flip(a)]. given #2961 (H,wt=15): 3119 T(x,y) \ K(x,x \ 1) = 1 / T(x,y). [hyper(72,a,3115,a(flip),b,1770,a(flip))]. given #2962 (H,wt=13): 3122 (T(x,y) \ x) / x = 1 / T(x,y). [hyper(236,a,2499,a(flip),b,3119,a(flip)),flip(a)]. given #2963 (H,wt=13): 3124 (1 / T(x,y)) * x = T(x,y) \ x. [para(3122(a,1),16(a,1,1))]. given #2964 (H,wt=11): 3127 x / T(x,y) = T(x,y) \ x. [hyper(1163,a,3124,a)]. given #2965 (H,wt=11): 3129 (T(x,y) \ x) * T(x,y) = x. [para(3127(a,1),16(a,1,1))]. given #2966 (H,wt=10): 3132 L(x,T(x,y) \ x,x) = x. [hyper(236,a,2248,a,b,3129,a(flip)),flip(a)]. given #2967 (H,wt=11): 3130 (T(x,y) \ x) \ x = T(x,y). [para(3127(a,1),65(a,1,1))]. given #2968 (H,wt=13): 3125 ((T(x,y) \ x) / x) \ 1 = T(x,y). [para(3122(a,2),65(a,1,1))]. given #2969 (H,wt=13): 3126 T(1 / T(x,y),x) = T(x,y) \ 1. [para(3122(a,1),1008(a,1,1))]. given #2970 (H,wt=13): 3134 (x * y) * T(K(y,x),x) = y * x. [para(3132(a,1),2247(a,1,2)),flip(a)]. given #2971 (H,wt=9): 3136 T(K(x,y),y) = K(x,y). [hyper(251,a,3134,a),flip(a)]. given #2972 (H,wt=7): 3137 T(x,K(y,x)) = x. [hyper(35,a,3136,a)]. given #2973 (H,wt=7): 3142 K(x,K(y,x)) = 1. [hyper(36,a,3137,a)]. given #2974 (H,wt=9): 3149 T(x,y \ T(y,x)) = x. [para(1043(a,1),3137(a,1,2))]. given #2975 (H,wt=9): 3151 T(x,T(K(y,x),z)) = x. [para(2061(a,1),3137(a,1,2))]. given #2976 (H,wt=11): 3138 K(x,y) * y = y * K(x,y). [para(3136(a,1),119(a,1,2)),flip(a)]. given #2977 (H,wt=11): 3139 (x * K(y,x)) / x = K(y,x). [para(3136(a,1),163(a,1,1,2))]. given #2978 (H,wt=11): 3144 T(T(x,y),K(z,x)) = T(x,y). [para(3137(a,1),38(a,1,1)),flip(a)]. given #2979 (H,wt=11): 3150 T(x,x \ ((y * x) / y)) = x. [para(1256(a,1),3137(a,1,2))]. given #2980 (H,wt=11): 3163 T(K(x,y),T(y,z)) = K(x,y). [hyper(35,a,3144,a)]. given #2981 (H,wt=9): 3165 K(K(x,y),T(y,z)) = 1. [hyper(36,a,3163,a)]. given #2982 (H,wt=11): 3166 K(x \ T(x,y),T(y,z)) = 1. [para(1043(a,1),3165(a,1,1))]. given #2983 (H,wt=12): 3159 L(K(x,y),y,1 / y) = K(x,y). [hyper(236,a,2330,a,b,3139,a(flip)),flip(a)]. given #2984 (H,wt=12): 3161 T(K(x,y),y) != z | K(x,y) = z. [para(3139(a,1),287(a,1,1)),flip(b)]. given #2985 (H,wt=13): 3168 (1 / x) * (x * K(y,x)) = K(y,x). [hyper(772,a,3159,a)]. given #2986 (H,wt=13): 3169 (1 / x) \ K(y,x) = x * K(y,x). [hyper(72,a,3159,a(flip),b,430,a)]. given #2987 (H,wt=14): 3128 T(x,y) \ x != z | x / T(x,y) = z. [para(3124(a,1),1163(a,1))]. given #2988 (H,wt=14): 3131 (T(x,y) \ x) * T(x,y) != z | z = x. [para(3127(a,1),221(a,1,1))]. given #2989 (H,wt=14): 3140 (x * K(y,x)) / x != z | K(y,x) = z. [para(3136(a,1),300(a,1,1,2)),flip(b)]. given #2990 (H,wt=15): 3121 x * (T(x,y) \ (1 / x)) = 1 / T(x,y). [hyper(1777,a,3119,a)]. given #2991 (H,wt=15): 3123 (1 / x) * (T(x,y) \ x) = 1 / T(x,y). [hyper(236,a,2205,a,b,3122,a(flip)),flip(a)]. given #2992 (H,wt=15): 3135 K(x \ 1,x) / T(x,y) = T(x,y) \ 1. [hyper(236,a,2548,a,b,3126,a(flip)),flip(a)]. given #2993 (H,wt=15): 3145 T(x,y) * K(z,x) = K(z,x) * T(x,y). [para(3137(a,1),180(a,1,2,1)),flip(a)]. given #2994 (H,wt=15): 3153 (x \ T(x,y)) * y = y * (x \ T(x,y)). [para(3149(a,1),119(a,1,2))]. given #2995 (H,wt=15): 3164 ((x * y) / x) / y = y \ ((x * y) / x). [para(3150(a,1),197(a,1,2))]. given #2996 (H,wt=15): 3167 T(x \ T(x,y),T(y,z)) = x \ T(x,y). [hyper(37,a,3166,a)]. given #2997 (H,wt=15): 3174 (T(x,y) \ 1) * T(x,y) = K(x \ 1,x). [para(3135(a,1),16(a,1,1))]. given #2998 (H,wt=15): 3176 x * (((y * x) / y) / x) = (y * x) / y. [para(3164(a,2),14(a,1,2))]. given #2999 (H,wt=15): 3178 K(T(x,y) \ 1,T(x,y)) = K(x \ 1,x). [hyper(314,a,3174,a)]. given #3000 (H,wt=16): 3143 T(x * y,K(z,x * y)) != x * u | u = y. [para(3137(a,2),19(a,2)),flip(a)]. given #3001 (H,wt=17): 3141 L(K(x,y),z,u) * y = y * L(K(x,y),z,u). [para(3136(a,1),181(a,1,2,1)),flip(a)]. given #3002 (H,wt=10): 3185 T(x,L(K(y,x),z,u)) = x. [hyper(169,a,3141,a)]. given #3003 (H,wt=17): 3146 L(x,y,z) * K(u,x) = K(u,x) * L(x,y,z). [para(3137(a,1),181(a,1,2,1)),flip(a)]. given #3004 (H,wt=12): 3186 T(K(x,y),L(y,z,u)) = K(x,y). [hyper(169,a,3146,a)]. given #3005 (H,wt=17): 3147 R(x,y,z) * K(u,x) = K(u,x) * R(x,y,z). [para(3137(a,1),182(a,1,2,1)),flip(a)]. given #3006 (H,wt=17): 3170 (x \ 1) * K(y,x \ 1) = x \ K(y,x \ 1). [hyper(72,a,3168,a(flip),b,134,a(flip)),flip(a)]. given #3007 (H,wt=17): 3175 (1 / x) * ((y * x) / y) = x \ ((y * x) / y). [hyper(236,a,1318,a,b,3164,a(flip)),flip(a)]. given #3008 (H,wt=13): 3189 T(1 / x,(y * x) / y) = x \ 1. [hyper(168,a,3175,a,b,1264,a)]. given #3009 (H,wt=17): 3182 T(x,y) * K(x \ 1,x) = T(1 / (1 / x),y). [para(3178(a,1),2488(a,1,2))]. given #3010 (H,wt=11): 3191 x * (T(x,y) / x) = T(x,y). [hyper(18,a,1901,a,b,3182,a),flip(a)]. given #3011 (H,wt=11): 3193 T(x,y) / x = x \ T(x,y). [hyper(80,a,3191,a),flip(a)]. given #3012 (H,wt=11): 3194 (x \ T(x,y)) * x = T(x,y). [para(3191(a,1),66(a,1,1,2))]. given #3013 (H,wt=9): 3206 T(x,x \ T(x,y)) = x. [hyper(268,a,3194,a)]. given #3014 (H,wt=13): 3196 (1 / x) * T(x,y) = x \ T(x,y). [hyper(1600,a,3193,a)]. given #3015 (H,wt=11): 3215 T(1 / x,T(x,y)) = x \ 1. [hyper(168,a,3196,a,b,930,a)]. given #3016 (H,wt=13): 3214 T(x,K(y \ (y / (x \ 1)),y)) = x. [para(1043(a,2),3206(a,1,2))]. given #3017 (H,wt=13): 3216 T(1 / (1 / x),T(1 / x,y)) = x. [hyper(236,a,65,a(flip),b,3215,a)]. given #3018 (H,wt=13): 3218 T(x \ 1,T(x,y)) = T(x \ 1,x). [para(3215(a,1),183(a,1,1)),flip(a)]. given #3019 (H,wt=13): 3222 T(x,T(1 / x,y)) = T(x,x \ 1). [para(3216(a,1),1729(a,1,1)),flip(a)]. given #3020 (H,wt=14): 3195 x \ T(x,y) != z | T(x,y) / x = z. [para(3191(a,1),283(a,1,2)),flip(b)]. given #3021 (H,wt=14): 3199 (x \ T(x,y)) * x != z | T(x,y) = z. [para(3193(a,1),221(a,1,1)),flip(b)]. given #3022 (H,wt=15): 3209 (x \ ((x \ y) \ y)) * x = T(x,x \ y). [para(120(a,1),3194(a,1,1,2))]. given #3023 (H,wt=15): 3221 (((x * y) / x) \ y) \ y = (x * y) / x. [hyper(1096,a,3214,a)]. given #3024 (H,wt=15): 3227 (((x * y) / x) \ y) * ((x * y) / x) = y. [para(3221(a,1),14(a,1,2))]. given #3025 (H,wt=16): 3203 x \ T(x,y) != z | (1 / x) * T(x,y) = z. [para(3193(a,1),1600(a,1))]. given #3026 (H,wt=16): 3207 T(x,R(1 / y,y,x)) = T(x,x / (x * y)). [hyper(236,a,1529,a,b,3194,a(flip)),flip(a)]. given #3027 (H,wt=15): 3230 T(x,x / (y * x)) = T(x,x / (x * y)). [para(159(a,1),3207(a,1,2))]. given #3028 (H,wt=16): 3217 L(x \ 1,x,y \ ((x * y) / x)) = x \ 1. [hyper(236,a,1538,a(flip),b,3215,a(flip)),flip(a)]. given #3029 (H,wt=14): 3233 L(x \ 1,x,T(y,x) \ y) = x \ 1. [para(163(a,1),3217(a,1,3,2))]. given #3030 (H,wt=16): 3219 T(x / (y * x),T(y,z)) = R(y \ 1,y,x). [para(3215(a,1),356(a,2,1))]. given #3031 (H,wt=17): 3197 (1 / x) * T((1 / x) \ 1,y) = x \ T(x,y). [hyper(1599,a,3193,a)]. given #3032 (H,wt=17): 3198 (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). [hyper(1133,a,3193,a),flip(a)]. given #3033 (H,wt=17): 3220 x * T(x \ 1,T(x,y)) = K(x \ 1,T(x,y)). [para(3215(a,1),1179(a,1,1)),flip(a)]. given #3034 (H,wt=15): 3238 K(x \ 1,T(x,y)) = x * T(x \ 1,x). [para(3218(a,1),3220(a,1,2)),flip(a)]. given #3035 (H,wt=13): 3239 K(x \ 1,T(x,y)) = K(x \ 1,x). [hyper(236,a,272,a(flip),b,3238,a)]. given #3036 (H,wt=18): 3148 K(x,y) * T(y,z) != u | T(y,z) * K(x,y) = u. [para(3137(a,1),368(a,1,2,1))]. given #3037 (H,wt=18): 3160 L((T(x,y) * (x \ y)) / y,y,x) = K(T(x,y),y). [hyper(236,a,1131,a,b,3139,a(flip)),flip(a)]. given #3038 (H,wt=18): 3179 K(x \ 1,x) / T(x,y) != z | T(x,y) \ 1 = z. [para(3174(a,1),296(a,1,1)),flip(b)]. given #3039 (H,wt=18): 3180 (x * y) / x != y * z | ((x * y) / x) / y = z. [para(3176(a,1),19(a,1))]. given #3040 (H,wt=18): 3200 R(x \ T(x,y),x,z) = (T(x,y) * z) / (x * z). [para(3193(a,1),114(a,1,1))]. given #3041 (H,wt=18): 3213 L(x,x \ T(x,y),x) = T(x,y) / (x \ T(x,y)). [para(3194(a,1),885(a,1,1)),flip(a)]. given #3042 (H,wt=17): 3243 L(x,x \ T(x,y),x) != z * u | z \ x = u. [para(3213(a,2),292(a,1))]. given #3043 (H,wt=18): 3234 L(x * T(x \ 1,y),x \ 1,y) = K(x \ 1,y). [para(3198(a,1),714(a,2,1)),flip(a)]. given #3044 (H,wt=11): 3244 K(1 / x,y) = K(x \ 1,y). [hyper(236,a,2771,a(flip),b,3234,a(flip)),flip(a)]. given #3045 (H,wt=11): 3245 K(1 / (1 / x),y) = K(x,y). [hyper(236,a,661,a(flip),b,3244,a)]. given #3046 (H,wt=9): 3248 T(K(x,y),x) = K(x,y). [para(3245(a,1),3094(a,1,1))]. given #3047 (H,wt=7): 3250 T(x,K(x,y)) = x. [hyper(35,a,3248,a)]. given #3048 (H,wt=11): 3247 K((x \ 1) \ 1,y) = K(x,y). [para(62(a,1),3244(a,1,1)),flip(a)]. given #3049 (H,wt=11): 3260 T(x,y \ ((x * y) / x)) = x. [para(1548(a,1),3250(a,1,2))]. given #3050 (H,wt=9): 3263 T(x,T(y,x) \ y) = x. [para(163(a,1),3260(a,1,2,2))]. given #3051 (H,wt=14): 3251 K(x,y) * z != x * K(x,y) | z = x. [para(3248(a,1),170(a,1,2)),flip(a)]. given #3052 (H,wt=14): 3254 K(x,y) * x != z | x * K(x,y) = z. [para(3250(a,1),220(a,1,2))]. given #3053 (H,wt=15): 3255 T(x,y) * K(x,z) = K(x,z) * T(x,y). [para(3250(a,1),180(a,1,2,1)),flip(a)]. given #3054 (H,wt=11): 3266 T(K(x,y),T(x,z)) = K(x,y). [hyper(169,a,3255,a)]. given #3055 (H,wt=15): 3264 (T(x,y) \ x) * y = y * (T(x,y) \ x). [para(3263(a,1),119(a,1,2))]. given #3056 (H,wt=17): 3252 R(K(x,y),z,u) * x = x * R(K(x,y),z,u). [para(3248(a,1),182(a,1,2,1)),flip(a)]. given #3057 (H,wt=10): 3272 K(x,R(K(x,y),z,u)) = 1. [hyper(71,a,3252,a,b,95,a),flip(a)]. given #3058 (H,wt=17): 3256 L(x,y,z) * K(x,u) = K(x,u) * L(x,y,z). [para(3250(a,1),181(a,1,2,1)),flip(a)]. given #3059 (H,wt=12): 3273 T(K(x,y),L(x,z,u)) = K(x,y). [hyper(169,a,3256,a)]. given #3060 (H,wt=17): 3257 R(x,y,z) * K(x,u) = K(x,u) * R(x,y,z). [para(3250(a,1),182(a,1,2,1)),flip(a)]. given #3061 (H,wt=12): 3275 T(K(x,y),R(x,z,u)) = K(x,y). [hyper(169,a,3257,a)]. given #3062 (H,wt=18): 3258 K(x,y) * T(x,z) != u | T(x,z) * K(x,y) = u. [para(3250(a,1),368(a,1,2,1))]. given #3063 (H,wt=18): 3265 (T(x,y) \ x) * y != z | y * (T(x,y) \ x) = z. [para(3263(a,1),220(a,1,2))]. given #3064 (H,wt=18): 3268 T(x,y) * K(x,z) != u | K(x,z) * T(x,y) = u. [para(3266(a,1),220(a,1,2))]. given #3065 (H,wt=19): 3152 x * ((K(x,y) \ y) * K(x,y)) = (y * x) * K(x,y). [para(3137(a,1),2376(a,1,1,1)),flip(a)]. given #3066 (H,wt=11): 3277 (K(x,y) \ y) * K(x,y) = y. [hyper(17,a,95,a(flip),b,3152,a)]. given #3067 (H,wt=11): 3278 x / K(y,x) = K(y,x) \ x. [hyper(87,a,3277,a)]. given #3068 (H,wt=14): 3279 x / K(y,x) != z | K(y,x) \ x = z. [para(3277(a,1),296(a,1,1)),flip(b)]. given #3069 (H,wt=19): 3171 K(x \ 1,x) * K(y,x) = (x \ 1) * (x * K(y,x)). [para(3168(a,1),2919(a,1,2))]. given #3070 (H,wt=19): 3172 ((x \ 1) \ K(y,x)) * K(x \ 1,x) = x * K(y,x). [hyper(2954,a,3169,a)]. given #3071 (H,wt=17): 3280 ((x \ 1) \ 1) * K(y,x) = (x \ 1) \ K(y,x). [hyper(2985,a,3172,a)]. given #3072 (H,wt=19): 3225 T(x,x \ 1) * T(x \ 1,y) = x * T(1 / x,y). [para(3222(a,1),1544(a,1,1))]. given #3073 (H,wt=17): 3282 K(x,x \ 1) * T(x \ 1,y) = T(1 / x,y). [hyper(2939,a,3225,a)]. given #3074 (H,wt=19): 3236 (x * T(x \ 1,y)) \ 1 = T(x \ 1,y) \ (x \ 1). [para(3198(a,1),2587(a,1,1))]. given #3075 (H,wt=19): 3262 K(((1 / x) * y) \ y,z) = K(((x \ 1) * y) \ y,z). [para(3083(a,1),3247(a,1,1)),flip(a)]. given #3076 (H,wt=19): 3281 x * (K(y,x) * K(x,x \ 1)) = (x \ 1) \ K(y,x). [hyper(236,a,2968,a,b,3280,a(flip)),flip(a)]. given #3077 (H,wt=19): 3283 ((x \ 1) \ 1) * T(x \ 1,y) = x * T(1 / x,y). [hyper(236,a,256,a(flip),b,3225,a(flip)),flip(a)]. given #3078 (H,wt=20): 3155 (x * K(y,x)) * L(z,x,K(y,x)) = K(y,x) * (x * z). [para(3138(a,1),103(a,1,1))]. given #3079 (H,wt=20): 3173 (1 / x) * (x * K(y,x)) != z * u | z \ K(y,x) = u. [para(3169(a,1),367(a,1,2))]. given #3080 (H,wt=19): 3288 L(K(x,y),y,1 / y) != z * u | z \ K(x,y) = u. [para(430(a,1),3173(a,1))]. given #3081 (H,wt=20): 3187 R(x,y,z) * u != K(w,x) * R(x,y,z) | K(w,x) = u. [para(3147(a,1),19(a,1)),flip(a)]. given #3082 (H,wt=20): 3202 x \ T(x,y) != T(x,y) * z | T(1 / x,T(x,y)) = z. [para(3193(a,1),1160(a,1))]. given #3083 (H,wt=20): 3204 x \ T(x,y) != z | (1 / x) * T((1 / x) \ 1,y) = z. [para(3193(a,1),1599(a,1))]. given #3084 (H,wt=20): 3259 K(x,y) * L(x,z,u) != w | L(x,z,u) * K(x,y) = w. [para(3250(a,1),369(a,1,2,1))]. given #3085 (H,wt=20): 3269 T(x,R(T(y,x),T(y,x) \ 1,x)) = x * (T(y,x) \ y). [hyper(236,a,1537,a,b,3264,a(flip)),flip(a)]. given #3086 (H,wt=20): 3276 R(x,y,z) * K(x,u) != w * R(x,y,z) | K(x,u) = w. [para(3257(a,2),20(a,1))]. given #3087 (H,wt=21): 3120 (x * (T(y,z) \ 1)) * K(y,y \ 1) = x * (1 / T(y,z)). [para(3115(a,1),2837(a,1,2))]. given #3088 (H,wt=21): 3181 (x \ 1) * (x * ((y * (x \ 1)) / y)) = (y * (x \ 1)) / y. [para(1319(a,1),3176(a,1,2))]. given #3089 (H,wt=21): 3183 K(x \ 1,x) * (y * T(x,z)) = y * (1 / (1 / T(x,z))). [para(3178(a,1),2845(a,1,1))]. given #3090 (H,wt=21): 3184 T(x,y) * (K(x \ 1,x) * z) = (1 / (1 / T(x,y))) * z. [para(3178(a,1),2982(a,1,2,1))]. given #3091 (H,wt=21): 3212 (T(x,y) * z) / (x * z) != u | R(x \ T(x,y),x,z) = u. [para(3194(a,1),475(a,1,1,1))]. given #3092 (H,wt=21): 3235 L(x * T(x \ 1,y),x \ 1,y) != z | K(x \ 1,y) = z. [para(3198(a,1),716(a,1,1))]. given #3093 (H,wt=14): 3294 K(1 / x,y) != z | K(x \ 1,y) = z. [para(2771(a,1),3235(a,1))]. given #3094 (H,wt=21): 3249 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K(y,x). [hyper(2415,a,3248,a)]. given #3095 (H,wt=21): 3291 K(x \ 1,x) * (y * T(x,z)) = y * T(1 / (1 / x),z). [para(2482(a,1),3183(a,2,2))]. given #3096 (H,wt=21): 3293 T(x,y) * (K(x \ 1,x) * z) = T(1 / (1 / x),y) * z. [para(2482(a,1),3184(a,2,1))]. given #3097 (H,wt=21): 3297 K(x \ 1,x) * (T(1 / (1 / x),y) \ z) = T(x,y) \ z. [hyper(72,a,14,a(flip),b,3293,a),flip(a)]. given #3098 (H,wt=21): 3298 (T(x,y) \ z) * K(x,x \ 1) = T(1 / (1 / x),y) \ z. [hyper(2853,a,3297,a)]. given #3099 (H,wt=22): 3114 ((x \ 1) \ 1) * y != (x * y) * z | K(T(x,y),x \ 1) = z. [para(3112(a,1),19(a,1))]. given #3100 (H,wt=22): 3154 (x \ T(x,y)) * T(y,z) != u | T(y,z) * (x \ T(x,y)) = u. [para(3149(a,1),368(a,1,2,1))]. given #3101 (H,wt=22): 3188 (x \ R(x,y,z)) / R(x,y,z) = x \ K(R(x,y,z),x \ 1). [hyper(2450,a,3170,a)]. given #3102 (H,wt=22): 3208 T(x,y) \ ((x \ T(x,y)) * (x * z)) = L(z,x,x \ T(x,y)). [para(3194(a,1),28(a,2,1)),flip(a)]. given #3103 (H,wt=21): 3302 L(x * y,x \ T(x,z),x) = x * L(y,x,x \ T(x,z)). [para(3208(a,1),1019(a,1,2)),flip(a)]. given #3104 (H,wt=21): 3303 x * L(x \ y,x,x \ T(x,z)) = L(y,x \ T(x,z),x). [para(14(a,1),3302(a,1,1)),flip(a)]. given #3105 (H,wt=22): 3210 T(x,y) * L(z,x,x \ T(x,y)) = (x \ T(x,y)) * (x * z). [para(3194(a,1),103(a,1,1))]. given #3106 (H,wt=22): 3211 R(x,y \ T(y,z),y) * T(y,z) = (x * (y \ T(y,z))) * y. [para(3194(a,1),113(a,1,2))]. given #3107 (H,wt=22): 3295 K(T(1 / x,y) \ 1,z) != u | K(T(x \ 1,y) \ 1,z) = u. [para(2480(a,1),3294(a,1,1))]. given #3108 (H,wt=22): 3301 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [para(3188(a,2),14(a,1,2))]. given #3109 (H,wt=23): 2979 ((x \ y) * z) * K(y \ x,x \ y) = (1 / (1 / (x \ y))) * z. [para(2712(a,1),2964(a,1,2))]. given #3110 (H,wt=23): 3157 K(x,y) * (y * z) != (y * K(x,y)) * u | L(z,y,K(x,y)) = u. [para(3138(a,1),436(a,1,1)),flip(a)]. given #3111 (H,wt=23): 3158 (x * K(y,z)) * z != u * (z * K(y,z)) | R(x,K(y,z),z) = u. [para(3138(a,1),467(a,2,2))]. given #3112 (H,wt=23): 3205 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(3193(a,1),2338(a,1,1,2))]. given #3113 (H,wt=23): 3231 (x \ T(x,x / (x * y))) * x != z | T(x,R(1 / y,y,x)) = z. [para(3207(a,1),3199(a,1,1,2))]. given #3114 (H,wt=23): 3246 K(x \ 1,(1 / x) \ (y / x)) = (T(y,1 / x) / x) \ (y / x). [hyper(236,a,1612,a(flip),b,3244,a(flip))]. given #3115 (H,wt=23): 3270 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = (T(y,x) \ y) * x. [para(3264(a,1),2023(a,1,1,2,1))]. given #3116 (H,wt=23): 3289 (T(x,y) \ T(x,z)) * K(x,x \ 1) = T(x,z) * (1 / T(x,y)). [para(1027(a,1),3120(a,1,1))]. given #3117 (H,wt=17): 3311 T(x,y) \ T(x,x \ 1) = x * (1 / T(x,y)). [hyper(18,a,2906,a,b,3289,a)]. given #3118 (H,wt=17): 3312 T(x,y) \ ((x \ 1) \ 1) = x * (1 / T(x,y)). [hyper(658,a,3311,a)]. given #3119 (H,wt=23): 3299 ((x \ 1) \ 1) * (T(x,y) \ z) = x * (T(1 / (1 / x),y) \ z). [para(3297(a,1),2984(a,1,2))]. given #3120 (H,wt=23): 3306 R(K(R(x,y,z),x \ 1),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(3301(a,1),2658(a,1,1))]. given #3121 (H,wt=23): 3308 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (y \ T(y,x))) \ z). [para(3193(a,1),3205(a,2,2,1,2))]. given #3122 (H,wt=23): 3309 K(x \ 1,(1 / x) \ (y / x)) = (T(y,x \ 1) / x) \ (y / x). [para(3019(a,1),3246(a,2,1,1))]. given #3123 (H,wt=23): 3310 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = x * (T(y,x) \ y). [hyper(236,a,3264,a(flip),b,3270,a)]. given #3124 (H,wt=24): 2707 L((((x \ y) \ z) \ 1) \ 1,x \ y,x) = ((y \ (x * z)) \ 1) \ 1. [para(450(a,1),2706(a,2,1,1))]. given #3125 (H,wt=24): 2816 T(x * y,x \ (1 / y)) = R(((x / (1 / y)) \ 1) \ 1,y \ 1,y). [para(2582(a,1),2812(a,1,1)),flip(a)]. given #3126 (H,wt=24): 2910 K(x,x \ 1) * (x * y) != z * u | (T(x,x \ 1) * y) / u = z. [para(2905(a,2),555(a,1))]. given #3127 (H,wt=24): 2999 ((x \ 1) \ 1) * (K(x \ 1,x) * y) != z * u | z \ (x * y) = u. [para(2984(a,2),545(a,1))]. given #3128 (H,wt=24): 3068 T(R(x \ 1,x,y),((x \ 1) \ 1) * y) = (((x \ 1) \ 1) * y) \ y. [para(3066(a,2),121(a,1,1))]. given #3129 (H,wt=24): 3077 T(x,R(y \ 1,(y \ 1) \ 1,x)) = (y * ((x * (y \ 1)) / x)) * x. [para(3067(a,2),3050(a,2,2)),flip(a)]. given #3130 (H,wt=24): 3156 (((x / y) * K(z,x / y)) * y) / x = R(K(z,x / y),x / y,y). [para(3138(a,1),115(a,1,1,1))]. given #3131 (H,wt=24): 3162 R(K(x,y),y,(y * K(x,y)) \ z) \ z = y * ((y * K(x,y)) \ z). [para(3139(a,1),489(a,1,1,1))]. given #3132 (H,wt=24): 3201 R((x / y) \ T(x / y,z),x / y,y) = (T(x / y,z) * y) / x. [para(3193(a,1),485(a,1,1))]. given #3133 (H,wt=24): 3290 (x * (y \ 1)) / x != (y \ 1) * z | y * ((x * (y \ 1)) / x) = z. [para(3181(a,1),19(a,1))]. given #3134 (H,wt=24): 3315 R(T(x \ 1,((x \ 1) \ 1) * y),x,y) = (((x \ 1) \ 1) * y) \ y. [hyper(236,a,42,a,b,3068,a(flip)),flip(a)]. given #3135 (H,wt=20): 3319 R(T(x \ 1,x * y),x,y) = (((x \ 1) \ 1) * y) \ y. [para(2963(a,1),3315(a,1,1))]. given #3136 (H,wt=17): 3320 T((x * y) \ y,x) = (((x \ 1) \ 1) * y) \ y. [hyper(236,a,983,a(flip),b,3319,a(flip)),flip(a)]. given #3137 (H,wt=17): 3321 (T(x,x \ 1) * y) \ y = T((x * y) \ y,x). [para(120(a,2),3320(a,2,1,1)),flip(a)]. given #3138 (H,wt=24): 3316 T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) = K(x,y / x) * x. [para(1549(a,1),3077(a,2,1))]. given #3139 (H,wt=24): 3318 R((x / y) \ T(x / y,z),x / y,y) = (y * T(y \ x,z)) / x. [para(405(a,1),3201(a,2,1))]. given #3140 (H,wt=25): 2793 T(x * ((y \ 1) \ 1),z) * K(y \ 1,y) = (y \ T(y * x,z)) * y. [para(943(a,1),2788(a,1,1)),flip(a)]. given #3141 (H,wt=25): 2833 (x / T(y,z)) * T((y \ 1) \ 1,z) = x * K(T(y,z),T(y,z) \ 1). [para(2479(a,1),2825(a,1,2))]. given #3142 (H,wt=25): 2900 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(T(x,y) \ 1,T(x,y)). [para(2730(a,1),2714(a,1,2)),flip(a)]. given #3143 (H,wt=21): 3324 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(x \ 1,x). [para(3178(a,1),2900(a,2,2))]. given #3144 (H,wt=25): 2929 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,1 / y). [para(2923(a,1),253(a,1,1))]. given #3145 (H,wt=25): 3051 T(x / (1 / (1 / y)),1 / (1 / y)) / (1 / y) = (y \ x) / (y \ 1). [para(121(a,2),3010(a,1,1))]. given #3146 (H,wt=25): 3223 K(T(x,y) \ (T(x,y) / T(x,z)),T(x,y)) = T(x * T(x \ 1,x),z). [para(3218(a,1),2055(a,1,1,2)),flip(a)]. given #3147 (H,wt=23): 3326 K(T(1 / T(x,y),T(x,z)),T(x,z)) = T(x * T(x \ 1,x),y). [para(1620(a,1),3223(a,1,1))]. given #3148 (H,wt=21): 3327 K(T(1 / T(x,y),T(x,z)),T(x,z)) = T((x \ 1) * x,y). [para(119(a,1),3326(a,2,1))]. given #3149 (H,wt=19): 3328 K(T(1 / T(x,y),T(x,z)),T(x,z)) = K(x \ 1,x). [hyper(236,a,2527,a(flip),b,3327,a)]. given #3150 (H,wt=19): 3330 T(1 / T(x,y),T(x,z)) = K(x \ 1,x) / T(x,y). [para(3328(a,1),1624(a,1,1)),flip(a)]. given #3151 (H,wt=15): 3331 T(1 / T(x,y),T(x,z)) = T(x,y) \ 1. [hyper(236,a,3135,a(flip),b,3330,a)]. given #3152 (H,wt=15): 3333 K(T(x,y) \ 1,T(x,z)) = K(x \ 1,x). [para(3331(a,1),3328(a,1,1))]. given #3153 (H,wt=25): 3286 T(L(x \ 1,x,y) \ 1,y) \ (L(x \ 1,x,y) \ 1) = K(x,y) \ 1. [para(1245(a,2),3236(a,1,1)),flip(a)]. given #3154 (H,wt=9): 3338 T(x,K(y,x) \ 1) = x. [para(3286(a,1),3263(a,1,2))]. given #3155 (H,wt=14): 3337 L(x \ 1,x,K(y,x) \ 1) = x \ 1. [para(3286(a,1),3233(a,1,3))]. given #3156 (H,wt=15): 3339 (K(x,y) \ 1) * y = y * (K(x,y) \ 1). [para(3338(a,1),119(a,1,2))]. given #3157 (H,wt=24): 3340 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = L(x \ 1,x,K(y,x) \ 1). [para(3339(a,1),158(a,2,1)),flip(a)]. given #3158 (H,wt=17): 3341 (x * (K(y,x) \ 1)) \ (K(y,x) \ 1) = x \ 1. [hyper(236,a,3337,a(flip),b,3340,a)]. given #3159 (H,wt=25): 3287 T((x \ y) \ 1,z) \ ((x \ y) \ 1) = (x \ (y * T(y \ x,z))) \ 1. [para(1246(a,1),3236(a,1,1)),flip(a)]. given #3160 (H,wt=25): 3296 K(x \ 1,x) * (y * ((x \ z) \ z)) = y * T(1 / (1 / x),x \ z). [para(120(a,1),3291(a,1,2,2))]. given #3161 (H,wt=25): 3300 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / (1 / (x \ 1)),y) \ z. [para(1772(a,1),3298(a,1,2))]. given #3162 (H,wt=21): 3343 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / x,y) \ z. [para(62(a,1),3300(a,2,1,1,2))]. given #3163 (H,wt=21): 3344 K(x,x \ 1) * (T(1 / x,y) \ z) = T(x \ 1,y) \ z. [hyper(2864,a,3343,a)]. given #3164 (H,wt=21): 3345 T(x \ 1,y) \ (T(1 / x,y) * z) = K(x,x \ 1) * z. [para(13(a,1),3344(a,1,2)),flip(a)]. given #3165 (H,wt=21): 3346 T(x \ 1,y) * (K(x,x \ 1) * z) = T(1 / x,y) * z. [para(3345(a,1),14(a,1,2))]. given #3166 (H,wt=23): 3348 T(1 / x,y) * ((1 / x) \ z) = T(x \ 1,y) * ((x \ 1) \ z). [para(2947(a,1),3346(a,1,2)),flip(a)]. given #3167 (H,wt=23): 3349 (1 / x) * (T(x \ 1,y) * ((x \ 1) \ z)) = T(1 / x,y) * z. [para(3348(a,1),1001(a,1,2))]. given #3168 (H,wt=25): 3307 ((x \ (x / y)) * z) * K(y,y \ 1) = (1 / (1 / (x \ (x / y)))) * z. [para(2285(a,1),2979(a,1,2))]. given #3169 (H,wt=26): 2799 (x * ((y / z) \ 1)) * T(y / z,z / y) = R(x,(y / z) \ 1,y / z). [para(2145(a,2),2795(a,1,2))]. given #3170 (H,wt=26): 2809 R(x,y \ 1,y) \ (x * (1 / y)) != z | L(y \ 1,y,x * (1 / y)) = z. [para(2804(a,1),383(a,1,1))]. given #3171 (H,wt=23): 3352 x * (R(x,y \ 1,y) \ (1 / y)) = L(y \ 1,y,x * (1 / y)). [hyper(2809,a,1503,a),flip(a)]. given #3172 (H,wt=26): 2868 R((K(x,x \ 1) * y) / z,z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(2857(a,1),114(a,2,1))]. given #3173 (H,wt=26): 2959 ((x \ 1) * y) / L(T(1 / x,y),y,K(x \ 1,x)) = K(x \ 1,x) * y. [para(2919(a,1),431(a,1,1))]. given #3174 (H,wt=19): 3353 ((x \ 1) * y) / T(1 / x,y) = K(x \ 1,x) * y. [para(2899(a,1),2959(a,1,2))]. given #3175 (H,wt=26): 3084 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = ((y \ 1) * (y * x)) \ (y * x). [para(2923(a,1),3083(a,1,1,1,1))]. given #3176 (H,wt=26): 3190 x \ ((y * x) / y) != ((y * x) / y) * z | T(1 / x,(y * x) / y) = z. [para(3175(a,1),169(a,2)),flip(a)]. given #3177 (H,wt=26): 3271 (x * y) * R(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). [hyper(777,a,3252,a),flip(a)]. given #3178 (H,wt=26): 3274 L(x,y,z) * R(K(x,u),w,v5) != v6 | R(K(x,u),w,v5) * L(x,y,z) = v6. [para(3273(a,1),370(a,1,2,1))]. given #3179 (H,wt=26): 3313 (x * (y \ T(y,x))) \ (x * z) != x * u | (x * (y \ T(y,x))) \ z = u. [para(3308(a,2),19(a,1))]. given #3180 (H,wt=26): 3314 L(T((x \ y) \ z,z \ (x \ y)),x \ y,x) = ((y \ (x * z)) \ 1) \ 1. [para(2278(a,2),2707(a,1,1))]. given #3181 (H,wt=21): 3357 T(x \ (y * z),z \ (y \ x)) = ((x \ (y * z)) \ 1) \ 1. [hyper(236,a,725,a(flip),b,3314,a(flip)),flip(a)]. given #3182 (H,wt=27): 2870 K(x \ 1,x) * T(K(x,x \ 1) * y,z) = (x \ T(x * (y / x),z)) * x. [para(2859(a,1),2340(a,1,2,1))]. given #3183 (H,wt=27): 2966 K(x,x \ 1) * ((y \ (1 / (1 / x))) * y) = x * K(y \ (1 / (1 / x)),y). [para(249(a,1),2921(a,1,2))]. given #3184 (H,wt=27): 3091 (x * y) * (1 / (1 / ((x * y) \ z))) = x * (y * (1 / (1 / (y \ (x \ z))))). [para(2698(a,1),103(a,1,2))]. given #3185 (H,wt=27): 3226 R(T(x,x \ 1),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(3222(a,1),2417(a,1,1,1))]. given #3186 (H,wt=24): 3360 R(T(x,x \ 1),y,z) \ R(x,y,z) = T(1 / x,R(x,y,z)) * x. [para(1923(a,1),3226(a,2,1))]. given #3187 (H,wt=27): 3322 T(x,R((y \ x) \ 1,((y \ x) \ 1) \ 1,x)) != z | x * K(x,y / x) = z. [para(3316(a,2),3254(a,1))]. given #3188 (H,wt=27): 3359 (x * y) * (1 / (1 / ((x * y) \ (x * z)))) = x * (y * (1 / (1 / (y \ z)))). [para(13(a,1),3091(a,2,2,2,2,2,2))]. given #3189 (H,wt=27): 3362 R(T(x,x \ 1),y,z) \ R(x,y,z) != u | x * T(x \ 1,R(x,y,z)) = u. [para(3360(a,2),667(a,1))]. given #3190 (H,wt=28): 2974 (x * ((1 / y) * z)) / L((y \ 1) * z,K(y,y \ 1),x) = x * K(y,y \ 1). [para(2955(a,1),137(a,1,1,2))]. given #3191 (H,wt=28): 3018 (1 / (1 / x)) * (x \ (y * x)) != (1 / (1 / x)) * z | T(y,1 / (1 / x)) = z. [para(2992(a,2),169(a,2)),flip(a)]. given #3192 (H,wt=28): 3101 (x / (x * y)) * z != (x / (x * y)) * y | T(1 / (1 / y),x / (x * y)) = z. [para(3099(a,1),169(a,2))]. given #3193 (H,wt=28): 3356 (x * y) * R(K(x * y,z),y,T(x,y)) = (K(y * T(x,y),z) * y) * T(x,y). [para(119(a,2),3271(a,2,1,1,1))]. given #3194 (H,wt=29): 2867 R((x * K(y,y \ 1)) / z,z,K(y \ 1,y)) != u | x / (z * K(y \ 1,y)) = u. [para(2852(a,1),563(a,1,1,1))]. given #3195 (H,wt=29): 2871 K(x \ 1,x) * L(K(x,x \ 1) * (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(2859(a,1),2425(a,1,2,1))]. given #3196 (H,wt=27): 3363 K(x \ 1,x) * L(y * T(x,x \ 1),z,u) = (x \ L(x * y,z,u)) * x. [para(2830(a,1),2871(a,1,2,1))]. given #3197 (H,wt=29): 2872 K(x \ 1,x) * R(K(x,x \ 1) * (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(2859(a,1),2426(a,1,2,1))]. given #3198 (H,wt=27): 3365 K(x \ 1,x) * R(y * T(x,x \ 1),z,u) = (x \ R(x * y,z,u)) * x. [para(2830(a,1),2872(a,1,2,1))]. given #3199 (H,wt=29): 2972 K(x \ 1,x) * ((y * ((1 / x) * z)) / y) = (x \ 1) * (x * ((y * (x \ z)) / y)). [para(1127(a,1),2952(a,1,2)),flip(a)]. given #3200 (H,wt=29): 3015 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 / (1 / x))) * y) * (1 / x). [para(249(a,1),2980(a,1,1)),flip(a)]. given #3201 (H,wt=29): 3292 K(x \ 1,x) * (y * T((x \ z) \ z,u)) = y * (1 / (1 / T((x \ z) \ z,u))). [para(3086(a,1),3183(a,1,1))]. given #3202 (H,wt=25): 3367 K(x \ 1,x) * (y * T((x \ 1) \ 1,z)) = y * (1 / (T(x,z) \ 1)). [para(2477(a,1),3292(a,2,2,2))]. given #3203 (H,wt=21): 3368 K(x \ 1,x) * (y * T((x \ 1) \ 1,z)) = y * T(x,z). [hyper(536,a,3367,a(flip)),flip(a)]. given #3204 (H,wt=29): 3347 T(x \ 1,y) * ((x \ 1) \ (K(x,x \ 1) * z)) = T(1 / x,y) * ((x \ 1) \ z). [para(1893(a,2),3346(a,1,2))]. given #3205 (H,wt=27): 3370 T(x \ 1,y) * ((((x \ 1) \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(2989(a,1),3347(a,1,2))]. given #3206 (H,wt=29): 3351 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / (1 / (x \ (x / (y \ 1))))) * z. [para(1772(a,1),3307(a,1,2))]. given #3207 (H,wt=25): 3372 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (x \ (x / (1 / y))) * z. [para(2758(a,1),3351(a,2,1))]. given #3208 (H,wt=29): 3364 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = (x \ L(x * (y / x),z,u)) * x. [para(2831(a,1),3363(a,1,2,1))]. given #3209 (H,wt=29): 3371 T(x \ 1,y) * (T(x \ 1,(x \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(120(a,2),3370(a,1,2,1))]. given #3210 (H,wt=30): 3049 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R((x \ 1) * T(x,x \ 1),y,z). [para(3036(a,1),2647(a,2,1))]. given #3211 (H,wt=22): 3373 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(1,y,z). [para(165(a,1),3049(a,2,1))]. given #3212 (H,wt=19): 3374 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = 1. [hyper(236,a,334,a(flip),b,3373,a)]. given #3213 (H,wt=23): 3377 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = (x \ 1) * 1. [para(3374(a,1),249(a,1,2)),flip(a)]. given #3214 (H,wt=21): 3378 (x \ 1) / (x \ R(x,y,z)) = (x \ R(x,y,z)) \ (x \ 1). [hyper(74,a,12,a(flip),b,3377,a)]. given #3215 (H,wt=17): 3379 (x \ R(x,y,z)) \ (x \ 1) = R(x,y,z) \ 1. [hyper(236,a,2668,a(flip),b,3378,a(flip))]. given #3216 (H,wt=19): 3380 (x \ 1) \ (R(x,y,z) \ 1) = (x \ R(x,y,z)) \ 1. [hyper(72,a,3379,a(flip),b,2317,a)]. given #3217 (H,wt=21): 3381 ((1 / x) \ R(1 / x,y,z)) \ x = R(1 / x,y,z) \ 1. [para(65(a,1),3379(a,1,2))]. given #3218 (H,wt=19): 3382 (x * R(x \ 1,y,z)) \ x = R(1 / x,y,z) \ 1. [para(1082(a,1),3381(a,1,1))]. given #3219 (H,wt=21): 3383 R(1 / (1 / x),y,z) \ 1 = (R(x,y,z) / x) \ (1 / x). [para(1933(a,1),3382(a,1,1)),flip(a)]. given #3220 (H,wt=30): 3076 x * ((x * (((x * y) * (x \ 1)) / (x * y))) * y) = T(x * y,R(x \ 1,x,x * y)). [hyper(236,a,2220,a(flip),b,3050,a(flip)),flip(a)]. given #3221 (H,wt=24): 3384 T(x * y,R(x \ 1,x,x * y)) = x * ((x * y) * (y / (x * y))). [para(2176(a,1),3076(a,1,2)),flip(a)]. given #3222 (H,wt=30): 3350 (1 / x) * (T(x \ 1,y) * ((x \ 1) \ z)) != u * w | (T(1 / x,y) * z) / w = u. [para(3349(a,2),555(a,1))]. given #3223 (H,wt=31): 2975 (x * K(y,y \ 1)) \ (x * ((1 / y) * z)) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(2955(a,1),447(a,1,2,2))]. given #3224 (H,wt=31): 2998 (x * y) \ ((K(x \ 1,x) * y) * ((x \ 1) \ 1)) = K(K(x \ 1,x) * y,(x \ 1) \ 1). [para(2984(a,1),26(a,2,1)),flip(a)]. given #3225 (H,wt=21): 3385 K(K(x \ 1,x) * y,(x \ 1) \ 1) = (x * y) \ (y * x). [para(2796(a,1),2998(a,1,2)),flip(a)]. given #3226 (H,wt=17): 3386 K(K(x \ 1,x) * y,(x \ 1) \ 1) = K(y,x). [hyper(236,a,26,a,b,3385,a)]. given #3227 (H,wt=19): 3388 K(((x \ 1) \ 1) \ y,(x \ 1) \ 1) = K(x \ y,x). [para(2995(a,1),3386(a,1,1))]. given #3228 (H,wt=20): 3387 K(K(x \ 1,x) * y,(x \ 1) \ 1) != z | K(y,x) = z. [para(3385(a,2),285(a,1))]. given #3229 (H,wt=22): 3389 K(((x \ 1) \ 1) \ y,(x \ 1) \ 1) != z | K(x \ y,x) = z. [para(2995(a,1),3387(a,1,1))]. given #3230 (H,wt=31): 3177 R(x,y,z) \ (((u / x) * R(x,y,z)) / (u / x)) = R(u / (u / x),y,z) / R(x,y,z). [para(823(a,1),3164(a,1,1)),flip(a)]. given #3231 (H,wt=27): 3390 R(x / (x / y),z,u) / R(y,z,u) = R(y,z,u) \ R(x / (x / y),z,u). [para(823(a,1),3177(a,1,2)),flip(a)]. given #3232 (H,wt=24): 3391 R(x,y,z) \ R(1 / (1 / x),y,z) = x * T(x \ 1,R(x,y,z)). [hyper(236,a,1808,a(flip),b,3390,a(flip))]. given #3233 (H,wt=31): 3323 (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(198(a,1),2833(a,1,1)),flip(a)]. given #3234 (H,wt=31): 3392 (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(2479(a,1),3323(a,2,2,1))]. given #3235 (H,wt=29): 3393 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = T((x \ 1) \ 1,y) * z. [hyper(236,a,180,a(flip),b,3392,a)]. given #3236 (H,wt=25): 3394 (T(x,y) * z) * K(T(x,z),T(x,z) \ 1) = T((x \ 1) \ 1,y) * z. [para(3115(a,1),3393(a,1,2))]. given #3237 (H,wt=21): 3395 (T(x,y) * z) * K(x,x \ 1) = T((x \ 1) \ 1,y) * z. [para(3115(a,1),3394(a,1,2))]. given #3238 (H,wt=27): 3397 (1 / x) * (T(((1 / x) \ 1) \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(3395(a,1),2978(a,1,2))]. given #3239 (H,wt=23): 3399 (1 / x) * (T(x \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(65(a,1),3397(a,1,2,1,1,1))]. given #3240 (H,wt=21): 3401 K(x \ 1,x) * (T(1 / x,y) * z) = T(x \ 1,y) * z. [hyper(17,a,2916,a,b,3399,a),flip(a)]. given #3241 (H,wt=23): 3400 (T(1 / x,y) * z) / (T(1 / x,y) * ((x \ 1) \ z)) = x \ 1. [hyper(3350,a,3399,a)]. given #3242 (H,wt=23): 3402 ((x \ 1) \ 1) * (T(x \ 1,y) * z) = x * (T(1 / x,y) * z). [para(3401(a,1),2984(a,1,2))]. given #3243 (H,wt=32): 2710 L(1 / (x \ y),x \ y,x) \ (1 / (x \ y)) = (1 / (x \ y)) * ((1 / (1 / (y \ x))) \ 1). [para(2703(a,1),1211(a,1,2,1)),flip(a)]. given #3244 (H,wt=28): 3403 L(1 / (x \ y),x \ y,x) \ (1 / (x \ y)) = (1 / (x \ y)) * (1 / (y \ x)). [para(65(a,1),2710(a,2,2))]. given #3245 (H,wt=32): 2854 L((x * K(y,y \ 1)) \ z,x * K(y,y \ 1),K(y \ 1,y)) = x \ (K(y \ 1,y) * z). [para(2839(a,1),105(a,2,1))]. given #3246 (H,wt=32): 2958 ((x * K(y \ 1,y)) * ((1 / y) * z)) / ((y \ 1) * z) = R(x,K(y \ 1,y),(1 / y) * z). [para(2919(a,1),30(a,2,2)),flip(a)]. given #3247 (H,wt=32): 3006 L(x,((y \ 1) \ 1) \ 1,(y \ 1) \ 1) * K(y \ 1,y) = y * ((((y \ 1) \ 1) \ 1) * x). [para(392(a,1),2994(a,1,2)),flip(a)]. given #3248 (H,wt=28): 3405 L(x,y \ 1,(y \ 1) \ 1) * K(y \ 1,y) = y * ((((y \ 1) \ 1) \ 1) * x). [para(2977(a,1),3006(a,1,1))]. given #3249 (H,wt=24): 3406 L(x,y \ 1,y) * K(y \ 1,y) = y * ((((y \ 1) \ 1) \ 1) * x). [para(2930(a,1),3405(a,1,1))]. given #3250 (H,wt=22): 3407 ((x \ 1) \ 1) \ L(y,x \ 1,x) = (((x \ 1) \ 1) \ 1) * y. [hyper(3005,a,3406,a)]. given #3251 (H,wt=32): 3242 R(x \ T(x,y),K(x \ 1,x),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3239(a,1),961(a,1,1,2))]. given #3252 (H,wt=32): 3304 T(x * L(x \ ((y * z) / y),x,x \ T(x,y)),y) = (x \ T(x,y)) * (x * (T(x,y) \ z)). [hyper(236,a,2250,a,b,3210,a(flip)),flip(a)]. given #3253 (H,wt=28): 3409 T(L((x * y) / x,z \ T(z,x),z),x) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [para(3303(a,1),3304(a,1,1))]. given #3254 (H,wt=26): 3410 L(x \ (x * y),z \ T(z,x),z) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [hyper(817,a,3409,a)]. given #3255 (H,wt=22): 3411 (x \ T(x,y)) * (x * (T(x,y) \ z)) = L(z,x \ T(x,y),x). [para(13(a,1),3410(a,1,1)),flip(a)]. given #3256 (H,wt=15): 3412 (x \ T(x,y)) \ x = x * (T(x,y) \ x). [hyper(3243,a,3411,a(flip))]. given #3257 (H,wt=20): 3413 (x \ T(x,y)) * T(y,T(x,y)) = L(y,x \ T(x,y),x). [para(1018(a,1),3411(a,1,2))]. given #3258 (H,wt=20): 3415 T(x,T(y,x)) * (y \ T(y,x)) = L(x,y \ T(y,x),y). [hyper(3154,a,3413,a)]. given #3259 (H,wt=23): 3416 L(x,y \ T(y,x),y) != z | T(x,T(y,x)) * (y \ T(y,x)) = z. [para(3413(a,1),3154(a,1))]. given #3260 (H,wt=24): 3414 x * (T(x,R(y,x,(y * x) \ x)) \ x) = (x \ (x * K(x,y))) \ x. [para(1559(a,1),3412(a,1,1,2)),flip(a)]. given #3261 (H,wt=20): 3417 x * (T(x,R(y,x,(y * x) \ x)) \ x) = K(x,y) \ x. [para(13(a,1),3414(a,2,1))]. given #3262 (H,wt=13): 3419 x * (K(x,y) \ 1) = K(x,y) \ x. [para(2603(a,1),3417(a,1,2))]. given #3263 (H,wt=32): 3305 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(3301(a,1),1530(a,1,1)),flip(a)]. given #3264 (H,wt=30): 3420 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(236,a,1564,a(flip),b,3305,a)]. given #3265 (H,wt=30): 3421 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(236,a,3230,a,b,3420,a(flip)),flip(a)]. given #3266 (H,wt=30): 3422 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(236,a,42,a,b,3421,a(flip)),flip(a)]. given #3267 (H,wt=22): 3423 R(x,y,z) * K(R(x,y,z),x \ 1) = R((x \ 1) \ 1,y,z). [para(2141(a,1),3422(a,1,1)),flip(a)]. given #3268 (H,wt=22): 3424 R(x,y,z) \ R(T(x,x \ 1),y,z) = K(R(x,y,z),x \ 1). [hyper(72,a,990,a,b,3423,a)]. given #3269 (H,wt=18): 3426 a(R(x,y,z),1 / x,x) = K(R(x,y,z),x \ 1). [hyper(236,a,1810,a(flip),b,3424,a(flip)),flip(a)]. given #3270 (H,wt=23): 3428 x * ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). [hyper(236,a,3301,a,b,3426,a),flip(a)]. given #3271 (H,wt=23): 3429 x * L(x \ 1,R(x,y,z),1 / x) = a(R(x,y,z),1 / x,x). [para(1967(a,2),3428(a,1,2))]. given #3272 (H,wt=24): 3427 R(T(x,x \ 1),y,z) \ R(x,y,z) = K(R(x,y,z),x \ 1) \ 1. [para(3424(a,1),2608(a,1,1)),flip(a)]. given #3273 (H,wt=24): 3430 K(R(x,y,z),x \ 1) \ 1 != u | x * T(x \ 1,R(x,y,z)) = u. [para(3427(a,1),3362(a,1))]. given #3274 (H,wt=32): 3358 T(a(x,y,z),z \ ((x * y) \ (x * (y * z)))) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(24(a,2),3357(a,1,1))]. given #3275 (H,wt=27): 3431 T(a(x,y,z),z \ L(z,y,x)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(28(a,2),3358(a,1,2,2))]. given #3276 (H,wt=20): 3432 T(a(x,y,z),z \ L(z,y,x)) = (a(x,y,z) \ 1) \ 1. [para(24(a,2),3431(a,2,1,1))]. given #3277 (H,wt=33): 2881 K(1 / T(x,y),(1 / T(x,y)) \ 1) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). [para(2482(a,1),2861(a,1,2,2))]. given #3278 (H,wt=29): 3433 K(T(x,y) \ 1,T(x,y)) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). [para(1800(a,1),2881(a,1,1))]. given #3279 (H,wt=25): 3434 K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / ((1 / T(x,z)) \ 1). [para(3178(a,1),3433(a,1,1))]. given #3280 (H,wt=21): 3435 K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / T(x,z). [para(65(a,1),3434(a,2,2))]. given #3281 (H,wt=23): 3439 ((x \ 1) \ 1) * (y / T(x,z)) = x * (y / T(1 / (1 / x),z)). [para(3435(a,1),2984(a,1,2))]. given #3282 (H,wt=33): 3228 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (R(x,y,z) * (x \ 1)) / R(x,y,z). [para(1071(a,1),3221(a,1,1,1,1))]. given #3283 (H,wt=31): 3440 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(1071(a,1),3228(a,2,1))]. given #3284 (H,wt=34): 3054 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z). [para(143(a,1),3011(a,1,2,1,1,2))]. given #3285 (H,wt=34): 3109 L(1 / (x \ ((y / (x * y)) * x)),x \ ((y / (x * y)) * x),x) = 1 / (1 / ((y / (x * y)) \ 1)). [para(3107(a,1),2703(a,2,2,2))]. given #3286 (H,wt=32): 3441 L(1 / T(x / (y * x),y),y \ ((x / (y * x)) * y),y) = 1 / (1 / ((x / (y * x)) \ 1)). [para(32(a,2),3109(a,1,1,2))]. given #3287 (H,wt=31): 3442 L(1 / R(x \ 1,x,y),x \ ((y / (x * y)) * x),x) = 1 / (1 / ((y / (x * y)) \ 1)). [para(630(a,1),3441(a,1,1,2))]. given #3288 (H,wt=34): 3284 (x * T(1 / x,y)) \ (((x \ 1) \ 1) * (T(x \ 1,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(3225(a,1),639(a,1,1))]. given #3289 (H,wt=30): 3443 (x * T(1 / x,y)) \ (x * (T(1 / x,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(3402(a,1),3284(a,1,2))]. given #3290 (H,wt=24): 3444 L(x,T(y \ 1,z),(y \ 1) \ 1) != u | L(x,T(1 / y,z),y) = u. [para(3443(a,1),447(a,1))]. given #3291 (H,wt=35): 2731 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(1166(a,1),2728(a,2,1,1))]. given #3292 (H,wt=29): 3445 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,T(x / y,T(y,x))). [para(1285(a,1),2731(a,2,1))]. given #3293 (H,wt=36): 2820 R(((x \ (x / (y \ 1))) * x) * K(y \ 1,y),y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(1423(a,1),2811(a,2,1))]. given #3294 (H,wt=30): 3446 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(3372(a,1),2820(a,1,1))]. given #3295 (H,wt=24): 3447 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * (y \ T(y,x))) * y. [para(927(a,1),3446(a,2,1,2))]. given #3296 (H,wt=37): 2874 ((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(2837(a,1),468(a,1,1))]. given #3297 (H,wt=31): 3448 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = ((x * y) * (1 / z)) / (y * (1 / z)). [para(2837(a,1),2874(a,1,2)),flip(a)]. given #3298 (H,wt=24): 3449 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = R(x,y,1 / z). [hyper(236,a,30,a,b,3448,a)]. given #3299 (H,wt=27): 3450 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) != u | R(x,y,1 / z) = u. [para(3448(a,2),475(a,1))]. given #3300 (H,wt=34): 3451 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(120(a,2),3449(a,1,2,2))]. given #3301 (H,wt=30): 3452 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,z)) = R(x,y,1 / (z \ 1)). [para(1772(a,1),3451(a,1,3))]. given #3302 (H,wt=26): 3453 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,z)) = R(x,y,z). [para(62(a,1),3452(a,2,3))]. given #3303 (H,wt=37): 2941 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(2940(a,1),2391(a,1,1)),flip(a)]. given #3304 (H,wt=30): 3454 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T((1 / x) \ 1,y). [para(2940(a,1),2941(a,2,2,1,1))]. given #3305 (H,wt=24): 3455 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = x \ T(x,y). [hyper(236,a,3197,a(flip),b,3454,a)]. given #3306 (H,wt=18): 3457 R(x \ T(x,y),K(x \ 1,x),z) = x \ T(x,y). [para(3197(a,1),3455(a,1,1))]. given #3307 (H,wt=25): 3458 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3457(a,1),3242(a,1,1))]. given #3308 (H,wt=23): 3459 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,x) * z. [para(3239(a,1),3458(a,2,1))]. given #3309 (H,wt=23): 3461 (x \ T(x,y)) * (K(x \ 1,x) * z) = ((x \ 1) * T(x,y)) * z. [para(3459(a,1),14(a,1,2))]. given #3310 (H,wt=23): 3463 (x \ T(x,y)) * (z * K(x \ 1,x)) = ((x \ 1) * T(x,y)) * z. [hyper(2523,a,3461,a)]. given #3311 (H,wt=37): 2960 ((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(2919(a,1),440(a,1,1))]. given #3312 (H,wt=31): 3464 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) = ((z \ 1) * y) \ ((z \ 1) * (y * x)). [para(2919(a,1),2960(a,1,2)),flip(a)]. given #3313 (H,wt=27): 3465 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) != u | L(x,y,z \ 1) = u. [para(3464(a,2),447(a,1))]. given #3314 (H,wt=38): 3229 (((L(x,y,y \ 1) * y) / y) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(2933(a,1),3227(a,1,1,1,1))]. given #3315 (H,wt=34): 3466 (L(x,y,y \ 1) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(15(a,1),3229(a,1,1,1))]. given #3316 (H,wt=37): 3468 x * ((y * ((1 / y) * (z * y))) / y) != (1 / y) * (z * y) | L(z,y,y \ 1) \ ((1 / y) * (z * y)) = x. [para(3466(a,1),20(a,1)),flip(a)]. given #3317 (H,wt=39): 2752 K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = (y * (1 / (1 / K(x,(x / (y \ 1)) / x)))) / ((x * y) / x). [para(1548(a,2),2718(a,1,1,2,2,2)),flip(a)]. given #3318 (H,wt=35): 3469 K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = (y * K(x,(x / (y \ 1)) / x)) / ((x * y) / x). [para(2304(a,1),2752(a,2,1,2))]. given #3319 (H,wt=29): 3470 K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = ((x * y) / x) / ((x * y) / x). [para(1554(a,1),3469(a,2,1))]. given #3320 (H,wt=19): 3471 K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = 1. [hyper(236,a,59,a(flip),b,3470,a)]. given #3321 (H,wt=17): 3472 K(((x * y) / x) \ y,y \ ((x * y) / x)) = 1. [hyper(2597,a,3471,a)]. given #3322 (H,wt=19): 3474 1 / (((x * y) / x) \ y) = (((x * y) / x) \ y) \ 1. [hyper(72,a,3472,a(flip),b,2294,a),flip(a)]. given #3323 (H,wt=19): 3475 ((((x * y) / x) \ y) \ 1) \ 1 = ((x * y) / x) \ y. [para(3474(a,1),65(a,1,1))]. given #3324 (H,wt=17): 3476 (x \ ((y * x) / y)) \ 1 = ((y * x) / y) \ x. [para(2596(a,1),3475(a,1,1))]. given #3325 (H,wt=31): 3477 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ y = (y \ (y * (x * T(x \ 1,y)))) \ 1. [para(1997(a,1),3476(a,1,1,2)),flip(a)]. given #3326 (H,wt=27): 3478 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ y = (x * T(x \ 1,y)) \ 1. [para(13(a,1),3477(a,2,1))]. given #3327 (H,wt=27): 3479 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ y = x \ (T(1 / x,y) \ 1). [hyper(236,a,2594,a(flip),b,3478,a)]. given #3328 (H,wt=21): 3481 (x * (y * T(y \ 1,x))) \ x = y \ (T(1 / y,x) \ 1). [para(1997(a,1),3479(a,1,1))]. given #3329 (H,wt=23): 3482 (x * (y * T(y \ 1,x))) \ 1 = x \ (y \ (T(1 / y,x) \ 1)). [para(3481(a,1),2326(a,1,2)),flip(a)]. given #3330 (H,wt=27): 3483 x \ (((x * y) \ x) \ (T(1 / ((x * y) \ x),x) \ 1)) = (x * K(y,x)) \ 1. [para(1239(a,2),3482(a,1,1,2)),flip(a)]. given #3331 (H,wt=25): 3484 x \ (((x * y) \ (x * T(x \ (x * y),x))) \ 1) = (x * K(y,x)) \ 1. [para(2595(a,1),3483(a,1,2))]. given #3332 (H,wt=21): 3485 x \ (((x * y) \ (x * T(y,x))) \ 1) = (x * K(y,x)) \ 1. [para(13(a,1),3484(a,1,2,1,2,2,1))]. given #3333 (H,wt=19): 3486 x \ (((x * y) \ (y * x)) \ 1) = (x * K(y,x)) \ 1. [para(119(a,1),3485(a,1,2,1,2))]. given #3334 (H,wt=15): 3487 (x * K(y,x)) \ 1 = x \ (K(y,x) \ 1). [para(26(a,2),3486(a,1,2,1)),flip(a)]. given #3335 (H,wt=39): 3085 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(2925(a,2),2250(a,1,1))]. given #3336 (H,wt=32): 3488 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(3073(a,1),3085(a,1,1))]. given #3337 (H,wt=39): 3354 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = ((1 / y) * T((1 / y) \ 1,(y \ 1) * x)) * x. [para(3353(a,1),2058(a,2,2,1,2)),flip(a)]. given #3338 (H,wt=33): 3489 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = (y \ T(y,(y \ 1) * x)) * x. [para(3197(a,1),3354(a,2,1))]. given #3339 (H,wt=40): 3317 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(3162(a,2),939(a,1,1,2))]. given #3340 (H,wt=40): 3366 R((x \ (1 / (1 / y))) * x,1 / y,(1 / y) \ 1) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [hyper(236,a,395,a,b,3015,a),flip(a)]. given #3341 (H,wt=36): 3490 R((x \ (1 / (1 / y))) * x,1 / y,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(65(a,1),3366(a,1,1,3))]. given #3342 (H,wt=36): 3491 R((x \ (1 / (1 / y))) * x,y \ 1,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(2806(a,1),3490(a,1,1))]. given #3343 (H,wt=42): 2034 (((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),2032(a,1,1)),flip(a)]. given #3344 (H,wt=37): 3492 (((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),2034(a,2,2,1,1))]. given #3345 (H,wt=33): 3493 (((x * y) * L((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * L(R(x,y,w) \ 1,z,u). [para(1654(a,1),3492(a,1,1))]. given #3346 (H,wt=31): 3494 (((x * L(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). [para(1681(a,1),3493(a,1,1,1))]. given #3347 (H,wt=26): 3495 R(x,y,z) * L(R(x,y,z) \ 1,u,w) = R(x * L(x \ 1,u,w),y,z). [hyper(475,a,3494,a),flip(a)]. given #3348 (H,wt=27): 3496 R(x,y,z) * L(R(x,y,z) \ 1,x,1 / x) = R(x * T(1 / x,1),y,z). [para(723(a,1),3495(a,2,1,2))]. given #3349 (H,wt=26): 3498 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * T(1 / x,1),y,z). [para(1508(a,1),3496(a,1,2))]. given #3350 (H,wt=24): 3499 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * (1 / x),y,z). [para(145(a,1),3498(a,2,1,2))]. given #3351 (H,wt=24): 3500 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(K(x,x \ 1),y,z). [para(1770(a,2),3499(a,2,1))]. given #3352 (H,wt=34): 3497 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(1926(a,1),3495(a,1,2))]. given #3353 (H,wt=32): 3501 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),3497(a,1,2,2)),flip(a)]. given #3354 (H,wt=28): 3502 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(a(R(x,y,z),1 / x,x),y,z). [para(3429(a,1),3501(a,1,1)),flip(a)]. given #3355 (H,wt=27): 3503 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(K(R(x,y,z),x \ 1),y,z). [para(3426(a,1),3502(a,2,1))]. given #3356 (H,wt=27): 3504 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(236,a,3306,a(flip),b,3503,a)]. given #3357 (H,wt=17): 3505 (R(x,y,z) / x) \ (1 / x) = 1 / R(x,y,z). [hyper(17,a,1770,a(flip),b,3504,a)]. given #3358 (H,wt=17): 3506 R(1 / (1 / x),y,z) \ 1 = 1 / R(x,y,z). [hyper(236,a,3383,a,b,3505,a(flip)),flip(a)]. given #3359 (H,wt=17): 3507 R(1 / (1 / x),y,z) = 1 / (1 / R(x,y,z)). [para(3506(a,1),62(a,1,2)),flip(a)]. given #3360 (H,wt=17): 3508 1 / R(x \ 1,y,z) = R(1 / x,y,z) \ 1. [para(62(a,1),3506(a,1,1,1,2)),flip(a)]. given #3361 (H,wt=17): 3510 1 / (1 / R(x \ 1,y,z)) = R(1 / x,y,z). [para(62(a,1),3507(a,1,1,2)),flip(a)]. given #3362 (H,wt=17): 3511 (R(1 / x,y,z) \ 1) \ 1 = R(x \ 1,y,z). [para(3508(a,1),65(a,1,1))]. given #3363 (H,wt=17): 3513 T(x,R(1 / y,z,u)) = T(x,R(y \ 1,z,u)). [para(3510(a,1),3017(a,1,2))]. given #3364 (H,wt=17): 3514 R((x \ 1) \ 1,y,z) = (R(x,y,z) \ 1) \ 1. [para(62(a,1),3511(a,1,1,1,1)),flip(a)]. given #3365 (H,wt=17): 3515 T(x,R((y \ 1) \ 1,z,u)) = T(x,R(y,z,u)). [para(62(a,1),3513(a,1,2,1)),flip(a)]. given #3366 (H,wt=21): 3509 R(T(1 / (1 / x),y),z,u) \ 1 = 1 / R(T(x,y),z,u). [para(2482(a,1),3506(a,1,1,1))]. given #3367 (H,wt=22): 3516 R(((x / y) \ 1) \ 1,y,y \ 1) = ((x * (y \ 1)) \ 1) \ 1. [para(482(a,1),3514(a,2,1,1))]. given #3368 (H,wt=22): 3518 R(((x / (1 / y)) \ 1) \ 1,y \ 1,y) = ((x * y) \ 1) \ 1. [para(2807(a,1),3514(a,2,1,1))]. given #3369 (H,wt=17): 3520 T(x * y,x \ (1 / y)) = ((x * y) \ 1) \ 1. [hyper(236,a,2816,a,b,3518,a(flip)),flip(a)]. given #3370 (H,wt=24): 3519 1 / R(T(x,(1 / x) * y),1 / x,y) = (((1 / x) * y) \ y) \ 1. [para(704(a,1),3509(a,1,1)),flip(a)]. given #3371 (H,wt=30): 3517 R(((x / y) \ 1) \ 1,y,z) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(3514(a,2),2493(a,1,1))]. given #3372 (H,wt=27): 3521 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = ((((z / x) \ 1) \ 1) * x) * y. [hyper(225,a,3517,a),flip(a)]. given #3373 (H,wt=27): 3522 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = (x * (((x \ z) \ 1) \ 1)) * y. [para(2492(a,1),3521(a,2,1))]. given #3374 (H,wt=30): 3523 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [hyper(236,a,3054,a(flip),b,3522,a(flip)),flip(a)]. given #3375 (H,wt=30): 3525 R((x \ 1) \ 1,y,z) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [para(3514(a,2),3523(a,1,1))]. given #3376 (H,wt=24): 3526 R((x \ 1) \ 1,y,z) \ ((x * y) * z) = (y * K(x \ 1,x)) * z. [para(3324(a,1),3525(a,2,1))]. given #3377 (H,wt=31): 3512 L(R(1 / x,x,y) \ 1,x \ ((y / (x * y)) * x),x) = 1 / (1 / ((y / (x * y)) \ 1)). [para(3508(a,1),3442(a,1,1))]. given #3378 (H,wt=29): 3528 L(R(1 / x,x,y) \ 1,T(y / (x * y),x),x) = 1 / (1 / ((y / (x * y)) \ 1)). [para(32(a,2),3512(a,1,2))]. given #3379 (H,wt=28): 3529 L(R(1 / x,x,y) \ 1,R(x \ 1,x,y),x) = 1 / (1 / ((y / (x * y)) \ 1)). [para(630(a,1),3528(a,1,2))]. given #3380 (H,wt=24): 3530 L(R(1 / x,x,y) \ 1,R(x \ 1,x,y),x) = 1 / (y / (x * y)). [para(62(a,1),3529(a,2,2))]. given #3381 (H,wt=31): 3524 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [hyper(236,a,2564,a(flip),b,3522,a(flip)),flip(a)]. given #3382 (H,wt=25): 3532 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(3324(a,1),3524(a,2,1))]. given #3383 (H,wt=35): 3527 (((x * (y \ 1)) \ 1) \ 1) \ (((x / y) * y) * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). [para(3516(a,1),3526(a,1,1))]. given #3384 (H,wt=31): 3533 (((x * (y \ 1)) \ 1) \ 1) \ (x * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). [para(16(a,1),3527(a,1,2,1))]. given #3385 (H,wt=29): 3534 (x * K((y / x) \ 1,y / x)) * (x \ 1) = K((y * (x \ 1)) \ 1,y * (x \ 1)). [hyper(1378,a,3533,a),flip(a)]. given #3386 (H,wt=42): 2755 (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(137(a,1),2719(a,1,1)),flip(a)]. given #3387 (H,wt=35): 3536 (x * (y * z)) * (1 / (1 / ((x * (y * z)) \ (x * y)))) = (x * y) * K(L(z,y,x),L(z,y,x) \ 1). [para(137(a,1),2755(a,1,2,2,2,2))]. given #3388 (H,wt=31): 3537 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * ((y * z) * (1 / (1 / ((y * z) \ y)))). [hyper(236,a,3359,a(flip),b,3536,a(flip))]. given #3389 (H,wt=31): 3539 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / (1 / (z \ (y \ y)))))). [para(3091(a,1),3537(a,2,2))]. given #3390 (H,wt=29): 3540 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / (1 / (z \ 1))))). [para(52(a,1),3539(a,2,2,2,2,2,2,2))]. given #3391 (H,wt=25): 3542 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / z))). [para(62(a,1),3540(a,2,2,2,2,2))]. given #3392 (H,wt=25): 3543 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * K(z,z \ 1)). [para(1770(a,2),3542(a,2,2,2))]. given #3393 (H,wt=28): 3544 (x * y) * z != x * (y * K(u,u \ 1)) | K(L(u,y,x),L(u,y,x) \ 1) = z. [para(3543(a,1),19(a,1)),flip(a)]. given #3394 (H,wt=42): 2901 L((x * ((y * x) \ y)) \ z,(1 / x) \ ((y * (1 / (1 / x))) \ y),1 / x) = ((y * (1 / (1 / x))) \ y) \ ((1 / x) * z). [para(2770(a,1),450(a,1,1,1))]. given #3395 (H,wt=36): 3545 L((x * ((y * x) \ y)) \ z,x * ((y * x) \ y),1 / x) = ((y * (1 / (1 / x))) \ y) \ ((1 / x) * z). [para(2770(a,1),2901(a,1,2))]. given #3396 (H,wt=44): 1079 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(1072(a,1),1046(a,2,2))]. given #3397 (H,wt=42): 3546 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(2432(a,1),1079(a,1,1,2))]. given #3398 (H,wt=32): 3547 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),3546(a,1,1,2))]. given #3399 (H,wt=24): 3549 ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1) = K(x \ 1,R(x,y,z)). [para(1072(a,1),3547(a,1,1)),flip(a)]. given #3400 (H,wt=24): 3551 K(x \ 1,R(x,y,z)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(3549(a,1),3440(a,1,1))]. given #3401 (H,wt=26): 3552 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [hyper(72,a,3551,a(flip),b,3419,a)]. given #3402 (H,wt=19): 3553 K(x \ 1,R(x,y,z)) \ 1 = K(R(x,y,z),x \ 1). [hyper(2451,a,3552,a),flip(a)]. given #3403 (H,wt=19): 3555 K(R(x,y,z),x \ 1) \ 1 = K(x \ 1,R(x,y,z)). [para(3553(a,1),2301(a,1,1))]. given #3404 (H,wt=19): 3556 x * T(x \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(3430,a,3555,a)]. given #3405 (H,wt=22): 3554 K(x \ 1,R(x,y,z)) \ 1 != u | K(R(x,y,z),x \ 1) = u. [para(3552(a,1),2451(a,1))]. given #3406 (H,wt=22): 3557 R(x,y,z) \ R(1 / (1 / x),y,z) = K(x \ 1,R(x,y,z)). [hyper(236,a,3391,a,b,3556,a(flip)),flip(a)]. given #3407 (H,wt=22): 3559 R(x,y,z) * K(x \ 1,R(x,y,z)) = R(1 / (1 / x),y,z). [para(3557(a,1),14(a,1,2))]. given #3408 (H,wt=22): 3560 R(x,y,z) * K(x \ 1,R(x,y,z)) = 1 / (1 / R(x,y,z)). [hyper(236,a,3507,a(flip),b,3559,a)]. given #3409 (H,wt=20): 3561 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(17,a,1738,a,b,3560,a),flip(a)]. given #3410 (H,wt=20): 3562 (R(x,y,z) \ 1) * R(x,y,z) = K(x \ 1,R(x,y,z)). [hyper(400,a,3561,a)]. given #3411 (H,wt=22): 3563 R(x,y,z) * (1 / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [para(3561(a,1),1773(a,1,1)),flip(a)]. given #3412 (H,wt=20): 3566 R(x,y,z) * (1 / R(x,y,z)) = K(R(x,y,z),x \ 1). [hyper(236,a,3553,a(flip),b,3563,a)]. given #3413 (H,wt=22): 3565 K(x \ 1,R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(3562(a,1),3532(a,1,1))]. given #3414 (H,wt=23): 3558 R(K(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [para(3556(a,1),2392(a,1,1))]. given #3415 (H,wt=23): 3564 K(x \ 1,R(x,y,z)) != u | K(R(x,y,z) \ 1,R(x,y,z)) = u. [para(3562(a,1),314(a,1))]. given #3416 (H,wt=25): 3567 (x * K(y \ 1,y)) * z != u * (x * z) | K(y \ 1,R(y,x,z)) = u. [para(3565(a,1),20(a,1))]. given #3417 (H,wt=26): 3568 K(x,R(x \ 1,y,z)) * (y * z) = (y * K((x \ 1) \ 1,x \ 1)) * z. [para(3247(a,1),3565(a,1,1))]. given #3418 (H,wt=22): 3570 K(x,R(x \ 1,y,z)) * (y * z) = (y * K(x,x \ 1)) * z. [para(1804(a,1),3568(a,2,1,2))]. given #3419 (H,wt=25): 3571 K(x,R(x \ 1,y,z)) * (y * z) != u * z | y * K(x,x \ 1) = u. [para(3570(a,2),20(a,1))]. given #3420 (H,wt=27): 3569 K(R(x \ 1,y,z) \ 1,R(x \ 1,y,z)) = R(K(x,R(x \ 1,y,z)),y,z). [para(3247(a,1),3558(a,1,1)),flip(a)]. given #3421 (H,wt=24): 3572 R(K(x,R(x \ 1,y,z)),y,z) = K((x \ 1) \ 1,R(x \ 1,y,z)). [hyper(236,a,3561,a(flip),b,3569,a(flip))]. given #3422 (H,wt=20): 3573 R(K(x,R(x \ 1,y,z)),y,z) = K(x,R(x \ 1,y,z)). [hyper(236,a,3247,a(flip),b,3572,a)]. given #3423 (H,wt=25): 3574 (K(x,R(x \ 1,y,z)) * y) * z = K(x,R(x \ 1,y,z)) * (y * z). [para(3573(a,1),113(a,1,1)),flip(a)]. given #3424 (H,wt=18): 3575 K(x,R(x \ 1,y,z)) * y = y * K(x,x \ 1). [hyper(18,a,3570,a(flip),b,3574,a)]. given #3425 (H,wt=14): 3576 K(x,R(x \ 1,y,z)) = K(x,x \ 1). [hyper(18,a,2500,a,b,3575,a)]. given #3426 (H,wt=19): 3579 (x * K(y,y \ 1)) * z = K(y,y \ 1) * (x * z). [para(3576(a,1),3570(a,1,1)),flip(a)]. given #3427 (H,wt=19): 3584 (K(x,x \ 1) * y) * z = K(x,x \ 1) * (y * z). [para(2500(a,2),3579(a,1,1))]. given #3428 (H,wt=10): 3588 L(x,y,K(z,z \ 1)) = x. [hyper(436,a,3584,a)]. given #3429 (H,wt=10): 3596 L(x,y,K(z,1 / z)) = x. [para(1767(a,2),3588(a,1,3))]. given #3430 (H,wt=10): 3597 L(x,y,K(z \ 1,z)) = x. [para(1772(a,1),3588(a,1,3))]. given #3431 (H,wt=12): 3598 L(x,y,K(z \ u,u \ z)) = x. [para(2282(a,1),3588(a,1,3))]. given #3432 (H,wt=12): 3602 L(x,y,K(z \ 1,z)) = 1 * x. [hyper(319,a,3597,a),flip(a)]. given #3433 (H,wt=13): 3601 L(x,y,1 / z) = L(x,y,z \ 1). [hyper(3465,a,3597,a),flip(a)]. given #3434 (H,wt=13): 3613 L(x,y,K(z \ 1,z)) != u | u = x. [para(3602(a,2),75(a,1))]. given #3435 (H,wt=13): 3615 L(x,y,(z \ 1) \ 1) = L(x,y,z). [para(62(a,1),3601(a,1,3)),flip(a)]. given #3436 (H,wt=13): 3616 L(x,y,K(z,z \ 1)) != u | u = x. [para(1769(a,1),3613(a,1,3))]. given #3437 (H,wt=14): 3587 R(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(467,a,3584,a)]. given #3438 (H,wt=15): 3606 x \ R(x,y \ 1,y) = a(x,y \ 1,y). [hyper(236,a,2610,a(flip),b,3597,a(flip))]. given #3439 (H,wt=13): 3626 a(x,1 / y,y) = a(x,y \ 1,y). [hyper(236,a,2810,a(flip),b,3606,a(flip)),flip(a)]. given #3440 (H,wt=14): 3628 x \ T(x,x \ 1) = a(x,x \ 1,x). [para(1371(a,1),3606(a,1,2))]. given #3441 (H,wt=12): 3629 a(x,x \ 1,x) = K(x,x \ 1). [hyper(1819,a,3628,a),flip(a)]. given #3442 (H,wt=15): 3627 x * a(x,y \ 1,y) = R(x,y \ 1,y). [para(3606(a,1),14(a,1,2))]. given #3443 (H,wt=16): 3611 L(x,y,1 / z) != u | L(x,y,z \ 1) = u. [para(3597(a,1),3465(a,1))]. given #3444 (H,wt=17): 3589 K(x,x \ 1) * (1 / y) = K(x,x \ 1) / y. [hyper(74,a,64,a(flip),b,3584,a),flip(a)]. given #3445 (H,wt=17): 3600 K(x,1 / x) * (1 / y) = K(x,1 / x) / y. [para(3596(a,1),384(a,1,2)),flip(a)]. given #3446 (H,wt=17): 3620 L(x,T(1 / y,z),y) = L(x,T(y \ 1,z),y). [hyper(3444,a,3615,a)]. given #3447 (H,wt=18): 3617 a(x,y \ 1,y) != z | x \ R(x,y \ 1,y) = z. [para(2610(a,1),3613(a,1)),flip(b)]. given #3448 (H,wt=18): 3630 R(x,y \ 1,y) != x * z | a(x,y \ 1,y) = z. [para(3627(a,1),19(a,1))]. given #3449 (H,wt=18): 3631 x \ R(x,y \ 1,y) != z | a(x,y \ 1,y) = z. [para(3627(a,1),283(a,1,2)),flip(b)]. given #3450 (H,wt=19): 3585 K(x,x \ 1) * ((K(x \ 1,x) * y) * z) = y * z. [para(2838(a,1),3579(a,1,1)),flip(a)]. given #3451 (H,wt=17): 3637 (K(x \ 1,x) * y) \ 1 = y \ K(x,x \ 1). [hyper(366,a,3585,a),flip(a)]. given #3452 (H,wt=17): 3638 (x * K(y \ 1,y)) \ 1 = x \ K(y,y \ 1). [para(2516(a,1),3637(a,1,1))]. given #3453 (H,wt=19): 3590 (K(x,x \ 1) * y) \ (K(x,x \ 1) * z) = y \ z. [hyper(72,a,88,a(flip),b,3584,a)]. given #3454 (H,wt=19): 3595 (K(x,x \ 1) * y) / z = K(x,x \ 1) * (y / z). [para(3588(a,1),494(a,1,2))]. given #3455 (H,wt=17): 3641 K(x,x \ 1) * (x / y) = ((x \ 1) \ 1) / y. [para(1745(a,1),3595(a,1,1)),flip(a)]. given #3456 (H,wt=17): 3643 (x / y) * K(x,x \ 1) = ((x \ 1) \ 1) / y. [hyper(2506,a,3641,a)]. given #3457 (H,wt=19): 3599 (K(x,1 / x) * y) * z = K(x,1 / x) * (y * z). [para(3596(a,1),103(a,1,2))]. given #3458 (H,wt=19): 3605 (x * K(y,y \ 1)) \ z = x \ (K(y \ 1,y) * z). [hyper(236,a,2854,a(flip),b,3597,a(flip))]. given #3459 (H,wt=17): 3646 (x * K(y,y \ 1)) \ 1 = x \ K(y \ 1,y). [para(12(a,1),3605(a,2,2))]. given #3460 (H,wt=17): 3647 (x * K(y,y \ 1)) \ (1 / y) = x \ (y \ 1). [para(1733(a,1),3605(a,2,2))]. given #3461 (H,wt=19): 3607 (K(x \ 1,x) * y) \ (K(x \ 1,x) * z) = y \ z. [hyper(236,a,105,a(flip),b,3597,a(flip)),flip(a)]. given #3462 (H,wt=19): 3608 (K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z). [para(3597(a,1),103(a,1,2))]. given #3463 (H,wt=19): 3609 (K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z). [para(3597(a,1),494(a,1,2))]. given #3464 (H,wt=19): 3621 L(x,y,L((z \ 1) \ 1,u,w)) = L(x,y,L(z,u,w)). [para(2706(a,2),3615(a,1,3))]. given #3465 (H,wt=19): 3639 (x * K(y \ 1,y)) \ z = x \ (K(y,y \ 1) * z). [para(2858(a,1),3590(a,1,1)),flip(a)]. given #3466 (H,wt=19): 3644 (K(x,1 / x) * y) * z = (y * z) * K(x,1 / x). [hyper(236,a,2512,a(flip),b,3599,a)]. given #3467 (H,wt=19): 3650 (K(x \ 1,x) * y) \ z = y \ (z * K(x,x \ 1)). [para(2839(a,1),3607(a,1,2))]. given #3468 (H,wt=19): 3651 (x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z). [hyper(2546,a,3608,a)]. given #3469 (H,wt=14): 3657 K(x \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(3567,a,3651,a)]. given #3470 (H,wt=17): 3659 (1 / x) * K(y \ 1,y) = K(y \ 1,y) / x. [hyper(74,a,64,a(flip),b,3651,a),flip(a)]. given #3471 (H,wt=17): 3666 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(3564,a,3657,a)]. given #3472 (H,wt=18): 3664 K(x \ 1,x) * (y * K(x,x \ 1)) != z | z = y. [para(3651(a,1),2866(a,1))]. given #3473 (H,wt=19): 3655 (x * K(y \ 1,y)) \ (z * K(y \ 1,y)) = x \ z. [para(2858(a,1),3639(a,2,2))]. given #3474 (H,wt=19): 3656 (x * K(y,1 / y)) / z = K(y,1 / y) * (x / z). [hyper(74,a,89,a(flip),b,3644,a)]. given #3475 (H,wt=20): 3593 R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) = T(x,y). [hyper(236,a,2612,a,b,3588,a(flip)),flip(a)]. given #3476 (H,wt=20): 3604 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = T(x,y). [hyper(236,a,2613,a,b,3597,a(flip)),flip(a)]. given #3477 (H,wt=20): 3634 K(x,x \ 1) / y != z | (1 / y) * K(x,x \ 1) = z. [para(3589(a,1),2506(a,1))]. given #3478 (H,wt=20): 3669 K(x \ 1,x) / y != (1 / y) * z | K(x \ 1,x) = z. [para(3659(a,1),19(a,1))]. given #3479 (H,wt=20): 3671 K(x \ 1,x) * (y * x) != z | y * (1 / (1 / x)) = z. [para(2749(a,1),3664(a,1,2)),flip(b)]. given #3480 (H,wt=20): 3672 K(x \ 1,x) * (x \ y) != z | ((x \ 1) \ 1) \ y = z. [para(2986(a,1),3664(a,1,2)),flip(b)]. given #3481 (H,wt=21): 3624 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = K(x,x \ 1). [hyper(236,a,3500,a,b,3587,a(flip)),flip(a)]. given #3482 (H,wt=21): 3648 ((x \ 1) * y) \ (K(x \ 1,x) * z) = ((1 / x) * y) \ z. [para(2956(a,1),3605(a,1,1)),flip(a)]. given #3483 (H,wt=16): 3680 ((1 / x) * (x * y)) \ y = a(x \ 1,x,y). [hyper(913,a,3648,a),flip(a)]. given #3484 (H,wt=15): 3682 L(x,y,y \ 1) \ x = a(y \ 1,y,x). [para(2923(a,1),3680(a,1,1))]. given #3485 (H,wt=15): 3683 x / a(y \ 1,y,x) = L(x,y,y \ 1). [para(3682(a,1),62(a,1,2))]. given #3486 (H,wt=18): 3684 L(x,y,y \ 1) \ x != z | a(y \ 1,y,x) = z. [para(3683(a,1),282(a,1,1)),flip(b)]. given #3487 (H,wt=21): 3653 K(x \ 1,x) * ((y / (x \ 1)) * z) = (y / (1 / x)) * z. [para(2742(a,1),3608(a,1,1)),flip(a)]. given #3488 (H,wt=21): 3654 T(K(x \ 1,x) * (y / z),z) = z \ (K(x \ 1,x) * y). [para(3609(a,1),121(a,1,1))]. given #3489 (H,wt=21): 3667 (x \ R(x,y,z)) * K(x \ 1,x) = (x \ 1) * R(x,y,z). [para(3657(a,1),1075(a,1,2))]. given #3490 (H,wt=15): 3686 (1 / x) * R(x,y,z) = x \ R(x,y,z). [hyper(18,a,2957,a,b,3667,a),flip(a)]. given #3491 (H,wt=13): 3688 R(x,y,z) / x = x \ R(x,y,z). [hyper(1930,a,3686,a)]. given #3492 (H,wt=13): 3690 (x \ R(x,y,z)) * x = R(x,y,z). [para(3686(a,1),1916(a,1,1))]. given #3493 (H,wt=10): 3697 T(x,x \ R(x,y,z)) = x. [hyper(268,a,3690,a)]. given #3494 (H,wt=10): 3698 K(x \ R(x,y,z),x) = 1. [hyper(71,a,3690,a(flip),b,249,a),flip(a)]. given #3495 (H,wt=14): 3700 K(x \ R(x,y,z),x) = (1 / u) * u. [hyper(236,a,16,a,b,3698,a)]. given #3496 (H,wt=15): 3692 R(x,y,y \ 1) / x = a(x,y,y \ 1). [hyper(236,a,688,a(flip),b,3688,a)]. given #3497 (H,wt=15): 3699 a(x,y,y \ 1) * x = R(x,y,y \ 1). [para(688(a,1),3690(a,1,1))]. given #3498 (H,wt=16): 3691 x \ R(x,y,z) != u | R(x,y,z) / x = u. [para(3686(a,1),1930(a,1))]. given #3499 (H,wt=18): 3701 K(x \ R(x,y,z),x) = (u \ K(u,u \ 1)) * u. [para(1771(a,2),3700(a,2,1))]. given #3500 (H,wt=19): 3689 (x \ 1) \ R(x \ 1,y,z) = x * R(x \ 1,y,z). [hyper(290,a,3686,a),flip(a)]. given #3501 (H,wt=19): 3703 (x \ 1) * (x * R(x \ 1,y,z)) = R(x \ 1,y,z). [para(3689(a,1),14(a,1,2))]. given #3502 (H,wt=20): 3694 R(x \ R(x,y,z),x,u) = (R(x,y,z) * u) / (x * u). [para(3688(a,1),114(a,1,1))]. given #3503 (H,wt=21): 3702 K(x \ R(x,y,z),x) = (u \ K(u,R(u \ 1,w,v5))) * u. [para(3576(a,2),3701(a,2,1,2))]. given #3504 (H,wt=22): 3591 (K(x,x \ 1) * y) * z != u * (y * z) | K(x,x \ 1) = u. [para(3584(a,2),20(a,1))]. given #3505 (H,wt=22): 3619 x \ (K(y \ 1,y) * z) != u | (x * K(y,y \ 1)) \ z = u. [para(2854(a,1),3613(a,1)),flip(b)]. given #3506 (H,wt=22): 3622 (K(x,x \ 1) * y) \ (K(x,x \ 1) * z) != u | y \ z = u. [para(105(a,1),3616(a,1)),flip(b)]. given #3507 (H,wt=22): 3695 (x / y) \ R(x / y,y,y \ 1) = (x * (y \ 1)) / (x / y). [para(482(a,1),3688(a,1,1)),flip(a)]. given #3508 (H,wt=19): 3706 (x * (y \ 1)) / (x / y) = (x / y) \ (x * (y \ 1)). [para(482(a,1),3695(a,1,2)),flip(a)]. given #3509 (H,wt=22): 3704 R(x \ 1,y,z) != (x \ 1) * u | x * R(x \ 1,y,z) = u. [para(3703(a,1),19(a,1))]. given #3510 (H,wt=23): 3612 (K(x \ y,y \ x) * z) * u = K(x \ y,y \ x) * (z * u). [para(3598(a,1),103(a,1,2))]. given #3511 (H,wt=23): 3618 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) != u | T(x,y) = u. [para(2613(a,2),3613(a,1)),flip(b)]. given #3512 (H,wt=23): 3623 R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) != u | T(x,y) = u. [para(2612(a,2),3616(a,1)),flip(b)]. given #3513 (H,wt=23): 3673 T(x,x \ y) = ((x \ y) * K(z \ 1,z)) \ (y * K(z \ 1,z)). [hyper(236,a,120,a,b,3655,a),flip(a)]. given #3514 (H,wt=23): 3696 R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). [para(3688(a,1),491(a,1,1))]. given #3515 (H,wt=23): 3707 (x * K(y \ z,z \ y)) * u = K(y \ z,z \ y) * (x * u). [para(2524(a,1),3612(a,1,1))]. given #3516 (H,wt=24): 3679 K(x,x \ 1) != R(x,y,z) * u | (1 / x) * (R(x,y,z) \ x) = u. [para(3624(a,1),19(a,1))]. given #3517 (H,wt=24): 3705 x * R(y \ R(y,z,u),y,w) = x * ((R(y,z,u) * w) / (y * w)). [hyper(21,a,3694,a)]. given #3518 (H,wt=24): 3710 (x * K(y \ z,z \ y)) * (x \ 1) != u | K(y \ z,z \ y) = u. [para(3707(a,2),154(a,1)),flip(b)]. given #3519 (H,wt=25): 3636 L(x \ R(x,y \ 1,y),z,K(u \ 1,u)) != w | a(x,y \ 1,y) = w. [para(3597(a,2),3631(a,1))]. given #3520 (H,wt=25): 3693 R(R(x,y,z),u,w) / R(x,u,w) = R(x,u,w) \ R(R(x,u,w),y,z). [para(46(a,1),3688(a,1,1))]. given #3521 (H,wt=26): 3582 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,K(x,x \ 1),z). [hyper(74,a,3579,a(flip),b,113,a)]. given #3522 (H,wt=17): 3711 R(x,K(y,y \ 1),z) = R(x,z,K(y,y \ 1)). [hyper(236,a,2609,a(flip),b,3582,a(flip))]. given #3523 (H,wt=21): 3712 R(x,y,K(z \ 1,(z \ 1) \ 1)) = R(x,K(z \ 1,z),y). [para(1772(a,1),3711(a,1,2)),flip(a)]. given #3524 (H,wt=17): 3713 R(x,K(y \ 1,y),z) = R(x,z,K(y \ 1,y)). [para(1772(a,1),3712(a,1,3)),flip(a)]. given #3525 (H,wt=26): 3583 (x * K(y,y \ 1)) * z != u * w | (K(y,y \ 1) * (x * z)) / w = u. [para(3579(a,2),555(a,1))]. given #3526 (H,wt=26): 3635 L(T(1 / x,y) \ z,T(x \ 1,y),x) = (x * T(1 / x,y)) \ (x * z). [hyper(236,a,105,a(flip),b,3620,a(flip))]. given #3527 (H,wt=26): 3642 R(K(x,x \ 1) * (y / z),z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(3595(a,1),2868(a,1,1))]. given #3528 (H,wt=26): 3652 ((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3608(a,1),30(a,2,1,1)),flip(a)]. given #3529 (H,wt=26): 3677 R(T(x,y / (1 / z)),y / (z \ 1),K(z \ 1,z)) = T(x,y / (z \ 1)). [para(2739(a,1),3604(a,1,1,2))]. given #3530 (H,wt=26): 3714 (K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3608(a,1),3652(a,1,1))]. given #3531 (H,wt=26): 3715 K(x \ 1,x) * (((y * z) * u) / (z * u)) = R(K(x \ 1,x) * y,z,u). [hyper(236,a,3609,a(flip),b,3714,a(flip)),flip(a)]. given #3532 (H,wt=21): 3716 R(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * R(y,z,u). [para(30(a,2),3715(a,1,2)),flip(a)]. given #3533 (H,wt=21): 3718 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z,u). [hyper(2863,a,3716,a(flip))]. given #3534 (H,wt=19): 3719 K(x,x \ 1) * R(x \ 1,y,z) = R(1 / x,y,z). [para(1733(a,1),3718(a,1,2,1))]. given #3535 (H,wt=21): 3720 R(K(x,x \ 1) * y,z,u) = K(x,x \ 1) * R(y,z,u). [para(2846(a,1),3718(a,1,2,1)),flip(a)]. given #3536 (H,wt=21): 3721 R(K(x,x \ 1) * y,z,u) = R(y,z,u) * K(x,x \ 1). [hyper(236,a,2500,a(flip),b,3720,a)]. given #3537 (H,wt=27): 3681 (x \ T(x,(x \ 1) * y)) * y = y * K(((1 / x) * y) \ y,(x \ 1) * y). [para(3648(a,1),3489(a,1,2,1)),flip(a)]. given #3538 (H,wt=27): 3717 R(K(x \ 1,x) * (y * T(x,x \ 1)),z,u) = (x \ R(x * y,z,u)) * x. [hyper(236,a,3365,a(flip),b,3716,a)]. given #3539 (H,wt=17): 3723 (x \ R(x * y,z,u)) * x = R(y * x,z,u). [para(2789(a,1),3717(a,1,1)),flip(a)]. given #3540 (H,wt=17): 3724 R(x * y,z,u) / y = y \ R(y * x,z,u). [hyper(87,a,3723,a)]. given #3541 (H,wt=17): 3725 R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x. [para(14(a,1),3723(a,1,1,2,1)),flip(a)]. given #3542 (H,wt=17): 3726 x \ R(x * (y / x),z,u) = R(y,z,u) / x. [para(16(a,1),3724(a,1,1,1)),flip(a)]. given #3543 (H,wt=17): 3729 R(x * (y / x),z,u) = x * (R(y,z,u) / x). [para(3726(a,1),14(a,1,2)),flip(a)]. given #3544 (H,wt=22): 3727 R((x \ (y / z)) * x,z,z \ 1) = (x \ (y * (z \ 1))) * x. [para(482(a,1),3725(a,2,1,2))]. given #3545 (H,wt=22): 3728 R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x. [para(2807(a,1),3725(a,2,1,2))]. given #3546 (H,wt=17): 3733 (x \ (x * y)) * x = (x * (y \ T(y,x))) * y. [hyper(236,a,3447,a(flip),b,3728,a(flip))]. given #3547 (H,wt=13): 3737 (x * (y \ T(y,x))) * y = y * x. [para(13(a,1),3733(a,1,1)),flip(a)]. given #3548 (H,wt=13): 3738 x * (y \ T(y,x)) = (y * x) / y. [hyper(87,a,3737,a),flip(a)]. given #3549 (H,wt=13): 3740 T(x,y) * (y \ T(y,T(x,y))) = x. [hyper(18,a,119,a(flip),b,3737,a)]. given #3550 (H,wt=13): 3743 x \ ((y * x) / y) = y \ T(y,x). [hyper(80,a,3738,a)]. given #3551 (H,wt=13): 3745 T(x,y) \ x = y \ T(y,T(x,y)). [hyper(72,a,163,a(flip),b,3738,a)]. given #3552 (H,wt=13): 3747 ((x * y) / x) / y = x \ T(x,y). [hyper(17,a,3176,a,b,3738,a),flip(a)]. given #3553 (H,wt=13): 3748 (x \ T(x,y)) * y = (x * y) / x. [hyper(236,a,3153,a,b,3738,a(flip)),flip(a)]. given #3554 (H,wt=15): 3739 (x \ y) * (x \ T(x,x \ y)) = y / x. [hyper(74,a,14,a(flip),b,3737,a),flip(a)]. given #3555 (H,wt=15): 3750 ((x * y) / x) * (y \ 1) = x \ T(x,y). [para(3738(a,1),2323(a,1,1))]. given #3556 (H,wt=15): 3758 (x \ y) * (x \ ((x \ y) \ y)) = y / x. [para(120(a,1),3739(a,1,2,2))]. given #3557 (H,wt=16): 3741 R(x,y \ T(y,x),y) = (y * x) / T(y,x). [hyper(74,a,3737,a(flip),b,3211,a),flip(a)]. given #3558 (H,wt=10): 3760 R(x,y \ T(y,x),y) = x. [hyper(236,a,138,a(flip),b,3741,a)]. given #3559 (H,wt=14): 3762 R(T(x,y),z \ T(z,x),z) = T(x,y). [para(3760(a,1),42(a,2,1))]. given #3560 (H,wt=16): 3751 L(x \ T(x,y),y,x) = K(x,(x * y) / x). [para(3743(a,1),452(a,1,1))]. given #3561 (H,wt=16): 3752 T(x,R(y,y \ 1,x)) = (x \ T(x,y)) * x. [para(3743(a,1),1535(a,1,1)),flip(a)]. given #3562 (H,wt=12): 3764 T(x,R(y,y \ 1,x)) = T(x,y). [hyper(236,a,3194,a(flip),b,3752,a)]. given #3563 (H,wt=14): 3767 T(x,R(y \ 1,y,x)) = T(x,y \ 1). [para(3067(a,1),3764(a,1,2))]. given #3564 (H,wt=13): 3770 T(x,x / (y * x)) = T(x,y \ 1). [hyper(236,a,3030,a(flip),b,3767,a(flip)),flip(a)]. given #3565 (H,wt=13): 3772 T(x,x / (x * y)) = T(x,y \ 1). [hyper(236,a,3230,a(flip),b,3770,a(flip)),flip(a)]. given #3566 (H,wt=15): 3765 T(x,R(y,y \ 1,x)) != z | T(x,y) = z. [para(3752(a,2),3199(a,1))]. given #3567 (H,wt=12): 3783 K(x,y) != z | T(K(x,y),x) = z. [para(3275(a,1),3765(a,1))]. given #3568 (H,wt=15): 3771 x * (y * ((x \ y) / y)) = T(y,x \ 1). [hyper(1310,a,3770,a)]. given #3569 (H,wt=15): 3773 x \ T(y,x \ 1) = y * ((x \ y) / y). [hyper(72,a,3770,a(flip),b,1309,a)]. given #3570 (H,wt=15): 3774 (x * ((x / y) / x)) * y = T(x,y \ 1). [hyper(2169,a,3772,a)]. given #3571 (H,wt=15): 3778 x * K(x,(x / y) / x) = T(x,y \ 1). [hyper(236,a,1553,a,b,3772,a(flip)),flip(a)]. given #3572 (H,wt=15): 3779 T(x,y \ 1) / y = x * ((x / y) / x). [hyper(74,a,3772,a(flip),b,2166,a)]. given #3573 (H,wt=15): 3780 K(x,(x / y) / x) = x \ T(x,y \ 1). [hyper(72,a,3772,a(flip),b,1553,a),flip(a)]. given #3574 (H,wt=15): 3787 x \ (y \ T(x,y \ 1)) = (y \ x) / x. [hyper(72,a,3773,a,b,xx)]. given #3575 (H,wt=16): 3754 (x \ T(x,y)) * y != z | (x * y) / x = z. [para(3747(a,1),221(a,1,1)),flip(b)]. given #3576 (H,wt=16): 3781 K(x,x \ 1) != y | T(K(x,x \ 1),z) = y. [para(2497(a,1),3765(a,1))]. given #3577 (H,wt=16): 3784 K((x \ 1) \ 1,y) != z | T(K(x,y),x) = z. [para(3247(a,2),3783(a,1))]. given #3578 (H,wt=16): 3785 T(K(x,y),T(x,z)) != u | T(K(x,y),x) = u. [para(3266(a,2),3783(a,1))]. given #3579 (H,wt=17): 3744 (x / y) \ T(x / y,y) = y \ (x / (x / y)). [hyper(72,a,234,a(flip),b,3738,a),flip(a)]. given #3580 (H,wt=15): 3796 (x / y) \ (y \ x) = y \ (x / (x / y)). [para(121(a,1),3744(a,1,2))]. given #3581 (H,wt=17): 3746 x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1). [hyper(17,a,3181,a,b,3738,a),flip(a)]. given #3582 (H,wt=17): 3777 T(x * ((x / y) / x),y) = y \ T(x,y \ 1). [hyper(394,a,3772,a(flip),b,2166,a)]. given #3583 (H,wt=17): 3782 T(x,R(y \ 1,y,x)) != z | T(x,y \ 1) = z. [para(3067(a,1),3765(a,1,2))]. given #3584 (H,wt=17): 3786 (x \ 1) \ T(y,x) = y * (((x \ 1) \ y) / y). [hyper(72,a,3020,a(flip),b,3771,a)]. given #3585 (H,wt=17): 3788 (x / y) \ T(x,(x / y) \ 1) = x * (y / x). [para(65(a,1),3773(a,2,2,1))]. given #3586 (H,wt=17): 3792 T(x,(y \ x) \ 1) / (y \ x) = x * (y / x). [para(62(a,1),3779(a,2,2,1))]. given #3587 (H,wt=17): 3793 T(x,y) / (1 / y) = x * ((x / (1 / y)) / x). [para(65(a,1),3779(a,1,1,2))]. given #3588 (H,wt=17): 3806 x \ (T(x,y) / (1 / y)) = (x / (1 / y)) / x. [hyper(72,a,3793,a,b,xx)]. given #3589 (H,wt=18): 3749 (x * y) \ ((x * y) / x) = L(x \ 1,T(x,y),y). [para(3738(a,1),931(a,1,2))]. given #3590 (H,wt=18): 3759 (x \ y) \ (y / x) != z | x \ ((x \ y) \ y) = z. [para(3758(a,1),283(a,1,2)),flip(b)]. given #3591 (H,wt=18): 3768 T(x,(y \ x) \ 1) != z | x * K(x,y / x) = z. [para(3764(a,1),3322(a,1))]. given #3592 (H,wt=18): 3789 x * R(1 / y,y,y \ x) = y \ T(x,y \ 1). [para(354(a,2),3773(a,2,2)),flip(a)]. given #3593 (H,wt=18): 3791 x \ T(x,y \ 1) != z | K(x,(x / y) / x) = z. [para(3778(a,1),283(a,1,2)),flip(b)]. given #3594 (H,wt=19): 3763 (T(x,y) * (z \ T(z,x))) * z = T(x,y) * T(z,x). [para(3762(a,1),3211(a,1,1)),flip(a)]. given #3595 (H,wt=19): 3769 x * ((x * y) * (y / (x * y))) = T(x * y,x \ 1). [hyper(236,a,3384,a(flip),b,3767,a(flip)),flip(a)]. given #3596 (H,wt=19): 3790 T(x,T(y,y \ x) \ 1) = x * K(x,(y \ x) / x). [para(197(a,1),3778(a,1,2,2,1)),flip(a)]. given #3597 (H,wt=19): 3798 (x * ((y \ x) / x)) / (y \ x) = x \ T(x,y \ 1). [hyper(236,a,2038,a,b,3746,a(flip)),flip(a)]. given #3598 (H,wt=19): 3800 T(x \ T(x,y \ 1),z) = K(x,(x / T(y,z)) / x). [para(3746(a,1),2181(a,1,1))]. given #3599 (H,wt=19): 3805 (((x / y) \ 1) \ y) * ((x / y) \ 1) = x * (y / x). [hyper(236,a,932,a(flip),b,3788,a(flip)),flip(a)]. given #3600 (H,wt=19): 3809 ((x \ 1) \ y) * (x \ 1) = (x * y) * (y / (x * y)). [hyper(17,a,876,a,b,3769,a),flip(a)]. given #3601 (H,wt=19): 3810 x \ T(x,T(y,z) \ 1) = T(x \ T(x,y \ 1),z). [hyper(236,a,3780,a(flip),b,3800,a),flip(a)]. given #3602 (H,wt=19): 3811 ((x \ 1) * y) * (y / ((x \ 1) * y)) = (x \ y) * x. [hyper(236,a,3001,a(flip),b,3809,a(flip))]. given #3603 (H,wt=18): 3813 ((x \ 1) * y) * R(x,x \ 1,y) = (x \ y) * x. [para(156(a,2),3811(a,1,2))]. given #3604 (H,wt=20): 3742 (x * (y \ T(y,x))) * y != z * u | (y * x) / u = z. [para(3737(a,2),555(a,1))]. given #3605 (H,wt=20): 3753 R(T(x,y) \ x,y,z) = (T(y,T(x,y)) * z) / (y * z). [para(3745(a,2),3200(a,1,1))]. given #3606 (H,wt=20): 3755 (x \ T(x,y)) * y != z * u | z \ ((x * y) / x) = u. [para(3747(a,1),427(a,1,1))]. given #3607 (H,wt=20): 3756 R(x \ T(x,y),y,z) \ (((x * y) / x) * z) = y * z. [para(3747(a,1),464(a,1,1,1))]. given #3608 (H,wt=21): 3799 x \ (y * ((z * (y \ x)) / z)) = z \ T(z,(x \ y) \ 1). [hyper(236,a,1642,a(flip),b,3746,a(flip)),flip(a)]. given #3609 (H,wt=21): 3803 R(x \ T(x,y \ 1),z,u) = K(x,(x / R(y,z,u)) / x). [para(3746(a,1),2655(a,1,1))]. given #3610 (H,wt=21): 3817 R(x \ T(x,y \ 1),z,u) = x \ T(x,R(y,z,u) \ 1). [hyper(236,a,3780,a(flip),b,3803,a)]. given #3611 (H,wt=22): 3794 x * ((y \ x) / x) != z * u | z \ (y \ T(x,y \ 1)) = u. [para(3787(a,1),367(a,1,2))]. given #3612 (H,wt=22): 3795 x * ((y \ x) / x) != z * u | (y \ T(x,y \ 1)) / u = z. [para(3787(a,1),529(a,1,2))]. given #3613 (H,wt=23): 3731 ((x \ (y * (z \ 1))) * x) / (z \ 1) = ((x \ (y / z)) * x) * z. [hyper(74,a,3727,a(flip),b,189,a)]. given #3614 (H,wt=23): 3734 ((x \ (y / (1 / z))) * x) * (1 / z) = ((x \ (y * z)) * x) / z. [hyper(74,a,3728,a(flip),b,2804,a),flip(a)]. given #3615 (H,wt=21): 3818 x * (T((x \ y) * z,x) / z) = ((x \ (y * z)) * x) / z. [hyper(236,a,1607,a(flip),b,3734,a(flip)),flip(a)]. given #3616 (H,wt=23): 3797 L(x * ((y * (x \ 1)) / y),z,u) = y \ T(y,L(x,z,u) \ 1). [hyper(2677,a,3746,a)]. given #3617 (H,wt=21): 3819 L(x \ T(x,y \ 1),z,u) = x \ T(x,L(y,z,u) \ 1). [para(3746(a,1),3797(a,1,1))]. given #3618 (H,wt=23): 3801 K(x,(x / y) / x) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3746(a,1),2221(a,2,2,1))]. given #3619 (H,wt=23): 3820 (x \ T(x,y \ 1)) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3780(a,1),3801(a,1,1))]. given #3620 (H,wt=24): 3807 x * ((x / (1 / y)) / x) != z * u | z \ (T(x,y) / (1 / y)) = u. [para(3806(a,1),367(a,1,2))]. given #3621 (H,wt=24): 3808 x * R(1 / (1 / y),1 / y,(1 / y) \ x) = (1 / y) \ T(x,y). [para(65(a,1),3789(a,2,2,2))]. given #3622 (H,wt=25): 3814 ((((x \ 1) * y) * x) / ((x \ 1) * y)) * (x \ 1) = ((x \ y) * x) / y. [hyper(74,a,3813,a(flip),b,812,a),flip(a)]. given #3623 (H,wt=21): 3821 ((x \ 1) * y) \ T((x \ 1) * y,x) = ((x \ y) * x) / y. [hyper(236,a,3750,a(flip),b,3814,a(flip)),flip(a)]. given #3624 (H,wt=18): 3822 L(K(x \ y,x),y,x \ 1) = ((x \ y) * x) / y. [hyper(236,a,1632,a(flip),b,3821,a(flip)),flip(a)]. given #3625 (H,wt=22): 3823 ((x \ (x * y)) * x) / (x * y) = L(K(y,x),x * y,x \ 1). [para(13(a,1),3822(a,1,1,1)),flip(a)]. given #3626 (H,wt=18): 3824 L(K(x,y),y * x,y \ 1) = (x * y) / (y * x). [para(13(a,1),3823(a,1,1,1)),flip(a)]. given #3627 (H,wt=25): 3815 ((x \ 1) * y) * R(x,x \ 1,y) != z * u | ((x \ y) * x) / u = z. [para(3813(a,2),555(a,1))]. given #3628 (H,wt=26): 3757 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = y * (((x * y) / x) \ z). [para(3747(a,1),489(a,1,1,1))]. given #3629 (H,wt=27): 3722 (x \ T(x,(x \ 1) * y)) * y = y * K(((x \ 1) * y) \ y,(x \ 1) * y). [para(3262(a,1),3681(a,2,2))]. given #3630 (H,wt=25): 3825 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,(x \ 1) * y)) * y. [hyper(236,a,249,a(flip),b,3722,a),flip(a)]. given #3631 (H,wt=27): 3816 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R((y * x) \ (x * y),x,z). [para(3753(a,1),863(a,1,1))]. given #3632 (H,wt=23): 3826 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R(K(x,y),x,z). [para(26(a,2),3816(a,2,1))]. given #3633 (H,wt=28): 3632 L(x,y,y \ 1) \ ((1 / y) * (x * y)) != z | L(K(x,y),y * x,y \ 1) = z. [para(2929(a,2),3611(a,1))]. given #3634 (H,wt=28): 3812 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = x \ T(x,R(z \ 1,z,y) \ 1). [para(3219(a,1),3810(a,1,2,2,1)),flip(a)]. given #3635 (H,wt=28): 3827 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,(z \ 1) \ 1),z,y). [hyper(236,a,3817,a,b,3812,a)]. given #3636 (H,wt=24): 3828 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,z),z,y). [para(3020(a,1),3827(a,2,1,2))]. given #3637 (H,wt=29): 3708 R(T(x,y / (1 / z)),y / (z \ 1),K(z \ 1,z)) != u | T(x,y / (z \ 1)) = u. [para(2739(a,1),3618(a,1,1,2))]. given #3638 (H,wt=29): 3732 R((x \ (y / z)) * x,z,z \ 1) != u * w | ((x \ (y * (z \ 1))) * x) / w = u. [para(3727(a,2),555(a,1))]. given #3639 (H,wt=29): 3735 R((x \ (y / (1 / z))) * x,z \ 1,z) != u * w | ((x \ (y * z)) * x) / w = u. [para(3728(a,2),555(a,1))]. given #3640 (H,wt=29): 3736 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 * x)) * y) / ((1 / x) \ 1). [para(3728(a,1),3491(a,1,1)),flip(a)]. given #3641 (H,wt=27): 3829 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / ((1 / x) \ 1). [para(11(a,1),3736(a,2,1,1,2))]. given #3642 (H,wt=23): 3830 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / x. [para(65(a,1),3829(a,2,2))]. given #3643 (H,wt=31): 3649 x \ (K(y \ 1,y) * (x * ((1 / y) * z))) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(3605(a,1),2975(a,1))]. given #3644 (H,wt=31): 3685 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) = y \ (K(x \ 1,x) * (y * ((1 / x) * z))). [para(2972(a,1),3654(a,1,1))]. given #3645 (H,wt=31): 3802 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((x \ T(x,z \ 1)) * (x \ y)). [para(3746(a,1),2183(a,2,2,1))]. given #3646 (H,wt=31): 3804 T(((x / y) / x) * ((x \ 1) \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3777(a,1),2793(a,2,1,2))]. given #3647 (H,wt=29): 3832 T((x / y) * K(x,x \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(2825(a,1),3804(a,1,1,1))]. given #3648 (H,wt=27): 3833 T(((x \ 1) \ 1) / y,y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3643(a,1),3832(a,1,1,1))]. given #3649 (H,wt=25): 3834 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = (y \ (x \ T(y,x \ 1))) * y. [para(121(a,1),3833(a,1,1))]. given #3650 (H,wt=21): 3835 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = ((x \ y) / y) * y. [para(3787(a,1),3834(a,2,1))]. given #3651 (H,wt=17): 3836 (x \ y) * K(y,y \ 1) = x \ ((y \ 1) \ 1). [hyper(18,a,2856,a(flip),b,3835,a),flip(a)]. given #3652 (H,wt=21): 3838 K(x,x \ 1) * ((y \ x) * z) = (y \ ((x \ 1) \ 1)) * z. [para(3836(a,1),3579(a,1,1)),flip(a)]. given #3653 (H,wt=19): 3839 (x \ ((y \ 1) \ 1)) * (y \ 1) = (x \ y) * (1 / y). [hyper(2882,a,3838,a)]. given #3654 (H,wt=23): 3840 (x \ 1) * ((y \ ((x \ 1) \ 1)) * z) = (1 / x) * ((y \ x) * z). [para(3838(a,1),2946(a,1,2))]. given #3655 (H,wt=26): 3841 L((x \ ((y \ 1) \ 1)) * z,y \ 1,y) = y * ((1 / y) * ((x \ y) * z)). [para(3840(a,1),188(a,1,2)),flip(a)]. given #3656 (H,wt=31): 3831 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) != u | L((x \ 1) * z,K(x,x \ 1),y) = u. [para(3685(a,2),3649(a,1))]. given #3657 (H,wt=32): 3661 (K(x \ 1,x) * (y * z)) \ ((y * K(x \ 1,x)) * (z * u)) = L(u,z,y * K(x \ 1,x)). [para(3651(a,1),28(a,2,1)),flip(a)]. given #3658 (H,wt=32): 3665 (K(x \ 1,x) * (y * ((1 / x) * z))) / ((x \ 1) * z) = R(y,K(x \ 1,x),(1 / x) * z). [para(3651(a,1),2958(a,1,1))]. given #3659 (H,wt=32): 3674 R(x / (y / K(z,1 / z)),y / K(z,1 / z),K(z,1 / z)) = K(z,1 / z) * (x / y). [hyper(236,a,485,a,b,3656,a(flip)),flip(a)]. given #3660 (H,wt=32): 3842 (K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (y * (z * u))) = L(u,z,y * K(x \ 1,x)). [para(3651(a,1),3661(a,1,2))]. given #3661 (H,wt=24): 3844 L(L(x,y,z),z * y,K(u \ 1,u)) = L(x,y,z * K(u \ 1,u)). [hyper(786,a,3842,a)]. given #3662 (H,wt=15): 3845 L(x,y,z * K(u \ 1,u)) = L(x,y,z). [hyper(3613,a,3844,a)]. given #3663 (H,wt=15): 3847 L(x,y,K(z \ 1,z) * u) = L(x,y,u). [para(2516(a,2),3845(a,1,3))]. given #3664 (H,wt=15): 3850 L(x,y,K(z,z \ 1) * u) = L(x,y,u). [para(2857(a,1),3845(a,1,3)),flip(a)]. given #3665 (H,wt=17): 3848 L(x,y,z / (1 / u)) = L(x,y,z / (u \ 1)). [para(2739(a,1),3845(a,1,3))]. given #3666 (H,wt=17): 3849 L(x,y,z * (1 / u)) = L(x,y,z * (u \ 1)). [para(2740(a,1),3845(a,1,3)),flip(a)]. given #3667 (H,wt=17): 3851 L(x,y,((z \ 1) \ 1) * u) = L(x,y,z * u). [para(2967(a,1),3847(a,1,3)),flip(a)]. given #3668 (H,wt=23): 3852 x * (R(x,y \ 1,y) \ (1 / y)) = L(y \ 1,y,x * (y \ 1)). [hyper(236,a,3352,a,b,3849,a(flip)),flip(a)]. given #3669 (H,wt=32): 3843 K(x \ 1,x) * ((y * ((1 / x) * z)) / ((x \ 1) * z)) = R(y,K(x \ 1,x),(1 / x) * z). [hyper(236,a,3609,a(flip),b,3665,a(flip)),flip(a)]. given #3670 (H,wt=34): 3660 (K(x \ 1,x) * (y * (z * u))) \ (((y * K(x \ 1,x)) * z) * u) = a(y * K(x \ 1,x),z,u). [para(3651(a,1),24(a,2,1)),flip(a)]. given #3671 (H,wt=34): 3853 (K(x \ 1,x) * (y * (z * u))) \ ((K(x \ 1,x) * (y * z)) * u) = a(y * K(x \ 1,x),z,u). [para(3651(a,1),3660(a,1,2,1))]. given #3672 (H,wt=34): 3854 (K(x \ 1,x) * (y * (z * u))) \ (K(x \ 1,x) * ((y * z) * u)) = a(y * K(x \ 1,x),z,u). [para(3608(a,1),3853(a,1,2))]. given #3673 (H,wt=26): 3855 L(a(x,y,z),x * (y * z),K(u \ 1,u)) = a(x * K(u \ 1,u),y,z). [hyper(787,a,3854,a)]. given #3674 (H,wt=15): 3856 a(x * K(y \ 1,y),z,u) = a(x,z,u). [hyper(3613,a,3855,a)]. given #3675 (H,wt=13): 3858 a(1 / x,y,z) = a(x \ 1,y,z). [para(1434(a,1),3856(a,1,1)),flip(a)]. given #3676 (H,wt=35): 3662 (x * (y * K(z \ 1,z))) \ (x * (K(z \ 1,z) * (y * u))) != w | L(u,y * K(z \ 1,z),x) = w. [para(3651(a,1),447(a,1,2,2))]. given #3677 (H,wt=36): 3614 L((x * ((y * x) \ y)) \ z,x * ((y * x) \ y),x \ 1) = ((y * (1 / (1 / x))) \ y) \ ((1 / x) * z). [hyper(236,a,3545,a(flip),b,3601,a(flip))]. given #3678 (H,wt=25): 3859 ((x * (1 / (1 / y))) \ x) \ ((1 / y) * 1) = ((x * y) \ x) \ (y \ 1). [hyper(236,a,2274,a(flip),b,3614,a(flip))]. given #3679 (H,wt=23): 3860 ((x * (1 / (1 / y))) \ x) \ (1 / y) = ((x * y) \ x) \ (y \ 1). [para(12(a,1),3859(a,1,2))]. given #3680 (H,wt=36): 3730 R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [para(3729(a,2),2645(a,1,1))]. given #3681 (H,wt=31): 3861 (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) = ((x * ((u / z) / x)) * z) * (u \ y). [hyper(225,a,3730,a),flip(a)]. given #3682 (H,wt=27): 3863 ((x * ((x / y) / x)) * y) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)). [hyper(236,a,3802,a(flip),b,3861,a(flip))]. given #3683 (H,wt=23): 3864 x * ((x \ T(x,y \ 1)) * (x \ z)) = T(x,y \ 1) * (x \ z). [para(3774(a,1),3863(a,1,1)),flip(a)]. given #3684 (H,wt=23): 3865 T(x,(y \ 1) \ 1) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). [para(3020(a,1),3864(a,1,2,1,2)),flip(a)]. given #3685 (H,wt=19): 3866 x * ((x \ T(x,y)) * (x \ z)) = T(x,y) * (x \ z). [para(3020(a,1),3865(a,1,1)),flip(a)]. given #3686 (H,wt=19): 3867 T(x,y) * (x \ (x * z)) = x * ((x \ T(x,y)) * z). [para(13(a,1),3866(a,1,2,2)),flip(a)]. given #3687 (H,wt=15): 3868 x * ((x \ T(x,y)) * z) = T(x,y) * z. [para(13(a,1),3867(a,1,2)),flip(a)]. given #3688 (H,wt=10): 3869 L(x,y \ T(y,z),y) = x. [hyper(720,a,3868,a)]. given #3689 (H,wt=13): 3875 T(x,y) * y = x * ((x * y) / x). [para(3748(a,1),3868(a,1,2)),flip(a)]. given #3690 (H,wt=11): 3885 T(x,x / (x / y)) = T(x,y). [hyper(18,a,1326,a,b,3875,a),flip(a)]. given #3691 (H,wt=11): 3892 T(x,x / y) = T(x,y \ x). [para(62(a,1),3885(a,1,2,2))]. given #3692 (H,wt=11): 3893 T(x,(y \ x) \ x) = T(x,y). [para(139(a,1),3885(a,1,2)),flip(a)]. given #3693 (H,wt=11): 3898 T(x,T(y,y \ x)) = T(x,y). [para(120(a,2),3893(a,1,2))]. given #3694 (H,wt=13): 3877 T(x,T(y,x)) * (y \ T(y,x)) = x. [hyper(3416,a,3869,a)]. given #3695 (H,wt=13): 3879 T(x,T(y,x)) \ x = y \ T(y,x). [hyper(72,a,3869,a(flip),b,3415,a)]. given #3696 (H,wt=12): 3905 L(x,T(y,T(z,y)) \ y,z) = x. [para(3879(a,2),3869(a,1,2))]. given #3697 (H,wt=13): 3880 (x \ T(x,y)) \ y = T(y,T(x,y)). [hyper(72,a,3869,a(flip),b,3413,a)]. given #3698 (H,wt=13): 3883 T(x,y) * (x \ y) = (x * y) / x. [hyper(1017,a,3875,a)]. given #3699 (H,wt=11): 3908 T(x / y,T(y,x)) = y \ x. [hyper(168,a,1166,a,b,3883,a)]. given #3700 (H,wt=13): 3888 T(x,y) = (x / y) * ((x * y) / x). [hyper(236,a,1298,a,b,3885,a(flip))]. given #3701 (H,wt=13): 3889 T(x,x / (1 / y)) = T(x,x * y). [hyper(236,a,1333,a(flip),b,3885,a(flip)),flip(a)]. given #3702 (H,wt=13): 3890 (x / T(y,x)) * y = T(x,T(y,x)). [hyper(236,a,1303,a(flip),b,3885,a(flip)),flip(a)]. given #3703 (H,wt=13): 3891 (x / y) \ T(x,y) = (x * y) / x. [hyper(72,a,3885,a(flip),b,1298,a)]. given #3704 (H,wt=13): 3897 T(T(x,y \ x) / y,x) = x / y. [para(3892(a,1),1293(a,1,1,1))]. given #3705 (H,wt=13): 3899 T(x * y,T(x,y)) = T(x * y,x). [para(13(a,1),3898(a,1,2,2))]. given #3706 (H,wt=13): 3909 T(x,T(y,x * y)) = y \ (x * y). [hyper(168,a,1148,a(flip),b,3883,a)]. given #3707 (H,wt=11): 3919 T(x,T(y,x * y)) = T(x,y). [hyper(236,a,32,a,b,3909,a)]. given #3708 (H,wt=13): 3910 T(x,y) \ ((x * y) / x) = x \ y. [hyper(80,a,3883,a)]. given #3709 (H,wt=13): 3912 T(x \ y,T(x,y)) = T(x \ y,x). [para(3908(a,1),183(a,1,1)),flip(a)]. given #3710 (H,wt=13): 3915 T(x / y,(x * y) / x) = y \ x. [hyper(168,a,3888,a(flip),b,1281,a(flip))]. given #3711 (H,wt=13): 3920 T(x,T(x \ y,y)) = T(x,x \ y). [para(14(a,1),3919(a,1,2,2))]. given #3712 (H,wt=14): 3906 L(x,T(y,z) \ y,(y * z) / y) = x. [para(162(a,1),3905(a,1,2,1,2))]. given #3713 (H,wt=15): 3871 (T(x,y) * z) / ((x \ T(x,y)) * z) = x. [hyper(87,a,3868,a)]. given #3714 (H,wt=10): 3926 R(x,x \ T(x,y),z) = x. [hyper(732,a,3871,a)]. given #3715 (H,wt=10): 3927 R(x,T(y,x) \ y,z) = x. [para(3745(a,2),3926(a,1,2))]. given #3716 (H,wt=10): 3928 R(x,K(y,x) \ 1,z) = x. [para(3286(a,1),3927(a,1,2))]. given #3717 (H,wt=15): 3872 (x \ T(x,y)) * z = T(x,y) * (x \ z). [hyper(17,a,1001,a,b,3868,a)]. given #3718 (H,wt=15): 3873 (x \ T(x,y)) * (x * z) = T(x,y) * z. [hyper(17,a,996,a(flip),b,3868,a)]. given #3719 (H,wt=15): 3881 (x \ T(x,y)) \ z = x * (T(x,y) \ z). [hyper(72,a,3869,a(flip),b,3411,a)]. given #3720 (H,wt=15): 3884 (x * (x * y)) / x = T(x,x * y) * y. [hyper(1006,a,3875,a),flip(a)]. given #3721 (H,wt=13): 3936 T(T(x,x * y) * y,x) = x * y. [para(3884(a,1),162(a,1,1))]. given #3722 (H,wt=15): 3886 T(x,x \ y) * (x \ y) = x * (y / x). [para(14(a,1),3875(a,2,2,1))]. given #3723 (H,wt=15): 3894 T(T(x,y) / (x / y),x) = x / (x / y). [para(3885(a,1),1293(a,1,1,1))]. given #3724 (H,wt=15): 3895 T(x,y \ x) / y = (x * (x / y)) / x. [hyper(74,a,3892,a(flip),b,1287,a)]. given #3725 (H,wt=15): 3896 x \ T(y,x \ y) = (y * (x \ y)) / y. [hyper(72,a,3892,a(flip),b,1296,a)]. given #3726 (H,wt=15): 3903 (x * y) / x = y * (T(y,T(x,y)) \ y). [para(3879(a,2),3738(a,1,2)),flip(a)]. given #3727 (H,wt=13): 3941 T(x * (T(x,T(y,x)) \ x),y) = x. [para(3903(a,1),162(a,1,1))]. given #3728 (H,wt=15): 3931 (T(x,y) * z) / (x * z) = x \ T(x,y). [hyper(87,a,3873,a)]. given #3729 (H,wt=14): 3942 R(x \ T(x,y),x,z) = x \ T(x,y). [hyper(3212,a,3931,a)]. given #3730 (H,wt=15): 3932 (x \ T(x,y)) \ (T(x,y) * z) = x * z. [hyper(80,a,3873,a)]. given #3731 (H,wt=15): 3938 (x \ T(x,x \ y)) * y = x * (y / x). [hyper(236,a,3872,a,b,3886,a(flip)),flip(a)]. given #3732 (H,wt=15): 3940 T(x,x \ y) * y = x * (x * (y / x)). [para(3886(a,1),1001(a,1,2)),flip(a)]. given #3733 (H,wt=16): 3901 x * (y \ T(y,z)) != z | T(z,T(y,z)) = x. [para(3877(a,1),20(a,1)),flip(a)]. given #3734 (H,wt=16): 3902 T(x,T(y,x)) \ x != z | y \ T(y,x) = z. [para(3877(a,1),283(a,1,2)),flip(b)]. given #3735 (H,wt=16): 3911 L(((x * y) / x) / y,y,x) = K(T(x,y),y). [para(3883(a,1),3160(a,1,1,1))]. given #3736 (H,wt=14): 3947 L(x \ T(x,y),y,x) = K(T(x,y),y). [para(3747(a,1),3911(a,1,1))]. given #3737 (H,wt=13): 3948 K(T(x,y),y) = K(x,(x * y) / x). [hyper(236,a,3751,a(flip),b,3947,a(flip))]. given #3738 (H,wt=13): 3950 K(T(x,T(y,x)),T(y,x)) = K(x,y). [para(163(a,1),3948(a,2,2))]. given #3739 (H,wt=15): 3949 K(T(x,x \ y),x \ y) = K(x,y / x). [para(14(a,1),3948(a,2,2,1))]. given #3740 (H,wt=16): 3917 R(T(x,x * y),y,x) = (x / T(y,x)) * y. [para(3889(a,1),1316(a,1,1))]. given #3741 (H,wt=14): 3951 R(T(x,x * y),y,x) = T(x,T(y,x)). [hyper(236,a,3890,a(flip),b,3917,a)]. given #3742 (H,wt=17): 3887 T(x / y,y) * y = (x / y) * (x / (x / y)). [para(16(a,1),3875(a,2,2,1))]. given #3743 (H,wt=15): 3954 (x / y) * (x / (x / y)) = (y \ x) * y. [para(121(a,1),3887(a,1,1)),flip(a)]. given #3744 (H,wt=17): 3907 (x * T(x \ 1,y)) \ y = T(y,T(x \ 1,y)). [para(3198(a,1),3880(a,1,1))]. given #3745 (H,wt=17): 3918 ((x * y) * y) / (x * y) = x \ T(x * y,y). [para(15(a,1),3891(a,1,1)),flip(a)]. given #3746 (H,wt=13): 3955 T(x \ T(x * y,y),x * y) = y. [para(3918(a,1),162(a,1,1))]. given #3747 (H,wt=14): 3956 T(x \ T(x * y,y),x) = R(y,x,y). [para(3918(a,1),746(a,2,1)),flip(a)]. given #3748 (H,wt=16): 3957 (x \ T(x * y,y)) * x = x * R(y,x,y). [para(3918(a,1),758(a,1,1))]. given #3749 (H,wt=17): 3923 T(x,y) * T(x \ y,x) = (x \ y) * T(x,y). [para(3912(a,1),119(a,1,2))]. given #3750 (H,wt=17): 3953 L(R(x,y,x),y,x) * y = y * T(x,T(y,x)). [para(3951(a,1),989(a,1,2)),flip(a)]. given #3751 (H,wt=17): 3960 T((x * y) / x,T(x,y)) = L(R(y,x,y),x,y). [hyper(18,a,406,a,b,3953,a),flip(a)]. given #3752 (H,wt=18): 3933 (x \ T(x,y)) \ (T(x,y) * z) != u | x * z = u. [para(3873(a,1),283(a,1,2)),flip(b)]. given #3753 (H,wt=18): 3934 T(x,y) * (x \ z) != u | (x \ T(x,y)) * z = u. [para(3873(a,1),307(a,1))]. given #3754 (H,wt=18): 3939 T(x,x \ y) * (x \ y) != x * z | y / x = z. [para(3886(a,2),19(a,1))]. given #3755 (H,wt=18): 3946 T(x,x \ y) * z != x * (x * (y / x)) | z = y. [para(3940(a,1),19(a,2))]. given #3756 (H,wt=18): 3952 (x * y) * T(x,T(y,x)) = R(x,y,x) * (x * y). [para(3951(a,1),182(a,1,2))]. given #3757 (H,wt=18): 3962 (x \ T(x,y)) \ z != u | x * (T(x,y) \ z) = u. [para(14(a,1),3933(a,1,2))]. given #3758 (H,wt=16): 3963 T(x,T(y,x)) != z | y * (T(y,x) \ x) = z. [para(3880(a,1),3962(a,1))]. given #3759 (H,wt=19): 3913 x \ (y * T(y \ x,T(y,x))) = K(y \ x,T(y,x)). [para(3908(a,1),1589(a,1,1)),flip(a)]. given #3760 (H,wt=19): 3943 R(K(x,y),x,z) = L(x \ T(x,T(y,x)),T(y,x),x). [para(3931(a,1),3826(a,1,1)),flip(a)]. given #3761 (H,wt=19): 3945 (x * T(x \ y,z)) / y = (y / x) \ T(y / x,z). [hyper(236,a,3318,a(flip),b,3942,a(flip)),flip(a)]. given #3762 (H,wt=19): 3964 L(x \ T(x,T(y,x)),T(y,x),x) != z | K(x,y) = z. [para(3943(a,1),343(a,1)),flip(b)]. given #3763 (H,wt=10): 3968 R(K(x,y),x,z) = K(x,y). [hyper(3964,a,3943,a(flip)),flip(a)]. given #3764 (H,wt=13): 3970 R(K(x,y),x,z) != u | K(x,y) = u. [para(3943(a,2),3964(a,1))]. given #3765 (H,wt=15): 3971 (K(x,y) * x) * z = K(x,y) * (x * z). [para(3968(a,1),113(a,1,1)),flip(a)]. given #3766 (H,wt=8): 3972 L(x,y,K(y,z)) = x. [hyper(436,a,3971,a)]. given #3767 (H,wt=10): 3974 L(x,y,K(y,z)) = 1 * x. [hyper(319,a,3972,a),flip(a)]. given #3768 (H,wt=11): 3980 L(x,y,K(y,z)) != u | u = x. [para(3974(a,2),75(a,1))]. given #3769 (H,wt=14): 3976 L(x,y / z,(z * (y / z)) \ y) = x. [para(99(a,2),3972(a,1,3))]. given #3770 (H,wt=16): 3969 K(T(x,T(y,x)),T(y,x)) != z | K(x,y) = z. [para(3947(a,1),3964(a,1))]. given #3771 (H,wt=17): 3981 L(x,y / z,(z * (y / z)) \ y) != u | u = x. [para(99(a,2),3980(a,1,3))]. given #3772 (H,wt=18): 3973 (K(x,y) * x) * z != u * (x * z) | K(x,y) = u. [para(3971(a,2),20(a,1))]. given #3773 (H,wt=20): 3904 T(x,R(T(y,x),T(y,x) \ 1,x)) \ x = y \ T(y,x). [para(3764(a,2),3879(a,1,1))]. given #3774 (H,wt=15): 3982 (x * (T(y,x) \ y)) \ x = y \ T(y,x). [para(3269(a,1),3904(a,1,1))]. given #3775 (H,wt=15): 3983 x / (y \ T(y,x)) = x * (T(y,x) \ y). [para(3982(a,1),62(a,1,2))]. given #3776 (H,wt=19): 3984 (x * (y \ T(y,x))) \ (x * x) = x * (T(y,x) \ y). [para(3982(a,1),3310(a,1,1,2))]. given #3777 (H,wt=15): 3986 (x * (y \ T(y,x))) \ x = T(y,x) \ y. [hyper(3313,a,3984,a)]. given #3778 (H,wt=13): 3987 ((x * y) / x) \ y = T(x,y) \ x. [para(3738(a,1),3986(a,1,1))]. given #3779 (H,wt=13): 3990 (T(x,y) \ x) * ((x * y) / x) = y. [para(3987(a,1),3227(a,1,1))]. given #3780 (H,wt=15): 3988 T(x,x \ y) \ x = (y / x) \ (x \ y). [para(3739(a,1),3986(a,1,1)),flip(a)]. given #3781 (H,wt=15): 3993 T(x,x \ y) \ x = x \ (y / (y / x)). [hyper(236,a,3796,a(flip),b,3988,a)]. given #3782 (H,wt=18): 3991 T(x,R(y,y \ 1,x)) \ x = ((x * y) / x) \ y. [para(3764(a,2),3987(a,2,1)),flip(a)]. given #3783 (H,wt=20): 3921 T(x,y) * (x \ y) != z * u | z \ ((x * y) / x) = u. [para(3910(a,1),367(a,1,2))]. given #3784 (H,wt=20): 3924 T(x,y) * T(x \ y,x) != z | (x \ y) * T(x,y) = z. [para(3912(a,1),220(a,1,2))]. given #3785 (H,wt=20): 3925 x \ (y * T(y \ x,T(y,x))) != z | K(y \ x,y) = z. [para(3912(a,2),717(a,1,2,2))]. given #3786 (H,wt=13): 3995 K(x \ y,T(x,y)) = K(x \ y,x). [hyper(3925,a,3913,a),flip(a)]. given #3787 (H,wt=15): 3996 K(x \ (x * y),x) = K(y,T(x,x * y)). [hyper(236,a,660,a(flip),b,3995,a(flip))]. given #3788 (H,wt=11): 3997 K(x,T(y,y * x)) = K(x,y). [hyper(236,a,660,a(flip),b,3996,a(flip))]. given #3789 (H,wt=20): 3958 ((x * y) * y) / (x * y) != z | x \ T(x * y,y) = z. [para(3955(a,1),300(a,1,1,2)),flip(b)]. given #3790 (H,wt=20): 3994 T(x,R(y,y \ 1,x)) \ 1 = x \ (((x * y) / x) \ y). [hyper(72,a,3991,a(flip),b,1004,a),flip(a)]. given #3791 (H,wt=17): 3999 T(x,x \ (((x * y) / x) \ y)) = T(x,x \ 1). [para(3994(a,1),2496(a,1,2))]. given #3792 (H,wt=15): 4000 T(x,x \ (y \ T(y,x))) = T(x,x \ 1). [para(163(a,1),3999(a,1,2,2,1))]. given #3793 (H,wt=21): 3937 T(x,x \ (y \ x)) \ (y \ T(x,y \ 1)) = x \ (y \ x). [hyper(72,a,3773,a,b,3886,a)]. given #3794 (H,wt=21): 3966 ((x \ y) / y) \ T((x \ y) / y,z) = x * T(x \ 1,z). [hyper(1105,a,3945,a),flip(a)]. given #3795 (H,wt=19): 4002 x \ ((y \ x) / ((y \ x) / x)) = y * T(y \ 1,x). [hyper(236,a,3744,a(flip),b,3966,a(flip)),flip(a)]. given #3796 (H,wt=19): 4003 T(x,T((y \ z) / z,x)) = (y * T(y \ 1,x)) \ x. [para(3966(a,1),3880(a,1,1)),flip(a)]. given #3797 (H,wt=17): 4004 T(x,T((y \ z) / z,x)) = T(x,T(y \ 1,x)). [hyper(236,a,3907,a(flip),b,4003,a)]. given #3798 (H,wt=22): 3916 ((x * y) / x) * z != T(x,y) | T(x / y,(x * y) / x) = z. [para(3888(a,2),169(a,2))]. given #3799 (H,wt=22): 3959 (x * R(y,x,y)) \ T(x * y,y) = K(x,x \ T(x * y,y)). [para(3957(a,1),97(a,1,1))]. given #3800 (H,wt=23): 3929 T(x,y \ 1) * (x \ (y * z)) = y * ((x \ T(x,y \ 1)) * z). [hyper(236,a,3820,a(flip),b,3872,a(flip))]. given #3801 (H,wt=23): 3930 T(x,y) * (x \ (z * K(x \ 1,x))) = ((x \ 1) * T(x,y)) * z. [hyper(236,a,3463,a(flip),b,3872,a(flip))]. given #3802 (H,wt=21): 4006 T(x,y) * (T(x,x \ 1) \ z) = ((x \ 1) * T(x,y)) * z. [para(2937(a,1),3930(a,1,2))]. given #3803 (H,wt=23): 4005 T(x,y \ 1) * (x \ (y * z)) = y * (T(x,y \ 1) * (x \ z)). [para(3872(a,1),3929(a,2,2))]. given #3804 (H,wt=25): 3914 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,y \ x). [para(3908(a,1),3445(a,2,2))]. given #3805 (H,wt=17): 4008 K((x / y) \ 1,x / y) = K(x \ y,y \ x). [hyper(236,a,3333,a(flip),b,3914,a(flip)),flip(a)]. given #3806 (H,wt=17): 4009 K(x / y,(x / y) \ 1) = K(y \ x,x \ y). [hyper(2889,a,4008,a)]. given #3807 (H,wt=19): 4011 K(x \ y,y \ x) * (y / x) = ((y / x) \ 1) \ 1. [para(4009(a,1),1745(a,1,1))]. given #3808 (H,wt=21): 4012 x * K(x / y,(x / y) \ 1) = y * (((y \ x) \ 1) \ 1). [para(4009(a,2),2714(a,1,2))]. given #3809 (H,wt=25): 3961 T(x \ T(x * y,y),T(x * y,y)) = L(R(y,x * y,y),x * y,y). [para(3918(a,1),3960(a,1,1))]. given #3810 (H,wt=25): 4007 (((x \ 1) \ 1) * T(x \ 1,y)) * z = T(1 / x,y) * ((x \ 1) \ z). [hyper(236,a,3371,a(flip),b,4006,a(flip))]. given #3811 (H,wt=21): 4014 T(1 / x,y) * ((x \ 1) \ z) = (x * T(1 / x,y)) * z. [para(3283(a,1),4007(a,1,1)),flip(a)]. given #3812 (H,wt=21): 4015 (T(1 / x,y) * z) / ((x * T(1 / x,y)) * z) = x \ 1. [para(4014(a,1),3400(a,1,2))]. given #3813 (H,wt=21): 4016 T(1 / x,y) * ((x * T(1 / x,y)) \ z) = (x \ 1) * z. [para(4015(a,1),245(a,1,1)),flip(a)]. given #3814 (H,wt=26): 3992 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = T(y,(1 / y) * (x * y)) \ y. [hyper(3468,a,3990,a)]. given #3815 (H,wt=22): 4017 L(K(x,y),y * x,y \ 1) = T(y,(1 / y) * (x * y)) \ y. [hyper(3632,a,3992,a)]. given #3816 (H,wt=22): 4018 L(K(x,y),y * x,y \ 1) = T(y,(y \ 1) * (x * y)) \ y. [para(2962(a,1),4017(a,2,1))]. given #3817 (H,wt=19): 4019 T(x,(x \ 1) * (y * x)) \ x = (y * x) / (x * y). [hyper(236,a,3824,a(flip),b,4018,a(flip))]. given #3818 (H,wt=27): 3882 x * ((x \ T(x,y)) * T(z,x * (x \ T(x,y)))) = z * (x * (x \ T(x,y))). [para(3869(a,1),606(a,2,1))]. given #3819 (H,wt=23): 4020 x * ((x \ T(x,y)) * T(z,T(x,y))) = z * (x * (x \ T(x,y))). [para(14(a,1),3882(a,1,2,2,2))]. given #3820 (H,wt=23): 4022 (1 / x) * (x * (x \ T(x,y))) = x * ((x \ T(x,y)) * (x \ 1)). [para(3215(a,1),4020(a,1,2,2)),flip(a)]. given #3821 (H,wt=23): 4023 (1 / x) * (x * (x \ T(x,y))) = x * ((x \ 1) * (x \ T(x,y))). [para(1374(a,1),4022(a,2,2))]. given #3822 (H,wt=22): 4024 (1 / x) * (x * (x \ T(x,y))) = L(x \ T(x,y),x \ 1,x). [hyper(236,a,188,a(flip),b,4023,a)]. given #3823 (H,wt=18): 4025 L(x \ T(x,y),x \ 1,x) = (1 / x) * T(x,y). [hyper(307,a,4024,a),flip(a)]. given #3824 (H,wt=16): 4027 L(x \ T(x,y),x \ 1,x) = x \ T(x,y). [hyper(236,a,3196,a(flip),b,4025,a)]. given #3825 (H,wt=25): 4028 L(x \ (x * K(x,y)),x \ 1,x) = x \ T(x,R(y,x,(y * x) \ x)). [para(1559(a,1),4027(a,1,1,2))]. given #3826 (H,wt=21): 4029 x \ T(x,R(y,x,(y * x) \ x)) = L(K(x,y),x \ 1,x). [para(13(a,1),4028(a,1,1)),flip(a)]. given #3827 (H,wt=16): 4031 L(K(x,y),x \ 1,x) = x \ (x * K(x,y)). [para(1559(a,1),4029(a,1,2)),flip(a)]. given #3828 (H,wt=19): 4032 L(K(x,y),x \ 1,x) != z * u | z \ K(x,y) = u. [para(4031(a,2),305(a,1))]. given #3829 (H,wt=13): 4033 (x \ 1) * K(x,y) = x \ K(x,y). [hyper(4032,a,188,a(flip)),flip(a)]. given #3830 (H,wt=13): 4034 K(x,y) * (x \ 1) = x \ K(x,y). [hyper(1385,a,4033,a)]. given #3831 (H,wt=13): 4035 K(x,y) \ (x \ K(x,y)) = x \ 1. [hyper(72,a,4033,a(flip),b,1384,a)]. given #3832 (H,wt=16): 4036 x \ K(x,y) != z * K(x,y) | x \ 1 = z. [para(4033(a,1),20(a,1))]. given #3833 (H,wt=16): 4037 K(x,y) \ (x \ K(x,y)) != z | x \ 1 = z. [para(4034(a,1),283(a,1,2)),flip(b)]. given #3834 (H,wt=20): 4038 K(x,y) \ (x \ K(x,y)) != z * u | (x \ 1) / u = z. [para(4034(a,1),428(a,1,2))]. given #3835 (H,wt=27): 4001 T(x,x \ ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)))) = T(x,x \ 1). [para(1240(a,1),4000(a,1,2,2,2))]. given #3836 (H,wt=13): 4040 T(x,x \ K(y,x)) = T(x,x \ 1). [para(3249(a,1),4001(a,1,2,2))]. given #3837 (H,wt=15): 4041 K(x,y) / T(y,y \ 1) = y \ K(x,y). [para(4040(a,1),197(a,1,2))]. given #3838 (H,wt=17): 4042 K(x,y) * K(y \ 1,y) = (y \ K(x,y)) * y. [para(4041(a,1),2786(a,1,1)),flip(a)]. given #3839 (H,wt=17): 4043 (x \ K(y,x)) * K(x,x \ 1) = K(y,x) / x. [para(4041(a,1),2835(a,1,1))]. given #3840 (H,wt=17): 4044 K(x,y) * K(y,y \ 1) = y * (K(x,y) / y). [para(4043(a,1),2347(a,1,2)),flip(a)]. given #3841 (H,wt=17): 4045 x * (x * (K(y,x) / x)) = (x \ 1) \ K(y,x). [para(4044(a,1),3281(a,1,2))]. given #3842 (H,wt=25): 4046 x * (T(x,y) \ (x * (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). [hyper(72,a,4045,a(flip),b,1002,a),flip(a)]. given #3843 (H,wt=25): 4047 x * (x * (T(x,y) \ (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). [para(1003(a,1),4046(a,1,2))]. given #3844 (H,wt=27): 4039 K(x,y) * ((x \ 1) * z) != (x \ K(x,y)) * u | L(z,x \ 1,K(x,y)) = u. [para(4034(a,1),436(a,1,1)),flip(a)]. given #3845 (H,wt=29): 3922 T(T(x,y),x) * L(T(T(x,y),x) \ y,z,u) = T(T(x,y) * L(x \ y,z,u),x). [para(3910(a,1),2250(a,1,1,2,1)),flip(a)]. given #3846 (H,wt=27): 4048 T(x,y) * L(T(T(x,y),x) \ y,z,u) = T(T(x,y) * L(x \ y,z,u),x). [para(131(a,1),3922(a,1,1))]. given #3847 (H,wt=25): 4049 T(T(x,y) * L(x \ y,z,u),x) = T(x,y) * L(T(x,y) \ y,z,u). [para(131(a,1),4048(a,1,2,1,1)),flip(a)]. given #3848 (H,wt=23): 4050 T(T(x,y) * L(x \ y,z,u),x) = T(x * L(x \ y,z,u),y). [hyper(236,a,2090,a(flip),b,4049,a)]. given #3849 (H,wt=27): 4051 T(x * L(x \ (x * y),z,u),x * y) = T(T(x,x * y) * L(y,z,u),x). [para(13(a,1),4050(a,1,1,2,1)),flip(a)]. given #3850 (H,wt=23): 4052 T(T(x,x * y) * L(y,z,u),x) = T(x * L(y,z,u),x * y). [para(13(a,1),4051(a,1,1,2,1)),flip(a)]. given #3851 (H,wt=30): 3989 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [para(3987(a,1),1280(a,1,2,2,1))]. given #3852 (H,wt=28): 4053 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,(x * y) / x). [para(3987(a,1),3989(a,2,2))]. given #3853 (H,wt=17): 4054 x \ ((T(y,x) \ y) * z) = ((y * x) / y) \ z. [hyper(72,a,3906,a(flip),b,4053,a),flip(a)]. given #3854 (H,wt=17): 4055 x * (((y * x) / y) \ z) = (T(y,x) \ y) * z. [para(4054(a,1),14(a,1,2))]. given #3855 (H,wt=13): 4058 (T(x,y) \ x) * (x * y) = y * x. [para(65(a,1),4055(a,1,2)),flip(a)]. given #3856 (H,wt=13): 4059 K(x,y) = T(T(y,x) \ y,y * x). [hyper(168,a,4058,a,b,95,a),flip(a)]. given #3857 (H,wt=13): 4060 (x * y) / (y * x) = T(y,x) \ y. [hyper(87,a,4058,a)]. given #3858 (H,wt=15): 4057 T(x,y / x) \ x = y / (x * (y / x)). [hyper(74,a,267,a(flip),b,4055,a(flip)),flip(a)]. given #3859 (H,wt=16): 4061 (x * y) / (y * x) != z | T(y,x) \ y = z. [para(4058(a,1),296(a,1,1)),flip(b)]. given #3860 (H,wt=17): 4063 T(x / y,y) \ (x / y) = (y * (x / y)) / x. [para(16(a,1),4060(a,1,2)),flip(a)]. given #3861 (H,wt=15): 4065 (x * (y / x)) / y = (x \ y) \ (y / x). [para(121(a,1),4063(a,1,1)),flip(a)]. given #3862 (H,wt=15): 4066 (x * (y / x)) / y = x \ ((x \ y) \ y). [hyper(3759,a,4065,a(flip)),flip(a)]. given #3863 (H,wt=18): 4064 T(x,y / x) \ x != z | y / (x * (y / x)) = z. [para(4060(a,1),379(a,1))]. given #3864 (H,wt=18): 4067 (x * (y / x)) / y != z | x \ ((x \ y) \ y) = z. [para(4065(a,2),3759(a,1))]. given #3865 (H,wt=19): 4068 x \ ((x \ (y \ x)) \ (y \ x)) = x \ T(x,y \ 1). [hyper(236,a,3798,a(flip),b,4066,a(flip))]. given #3866 (H,wt=17): 4069 (x \ T(x,y \ 1)) * x = T(x,x \ (y \ x)). [para(4068(a,1),3209(a,1,1))]. given #3867 (H,wt=13): 4070 T(x,x \ (y \ x)) = T(x,y \ 1). [hyper(3199,a,4069,a),flip(a)]. given #3868 (H,wt=13): 4072 T(x,(x / y) \ 1) = T(x,x \ y). [para(65(a,1),4070(a,1,2,2)),flip(a)]. given #3869 (H,wt=15): 4073 (x \ (y \ x)) * T(x,y \ 1) = y \ x. [para(4070(a,1),165(a,1,2))]. given #3870 (H,wt=15): 4074 (x \ y) / T(y,x \ 1) = y \ (x \ y). [para(4070(a,1),197(a,1,2))]. given #3871 (H,wt=15): 4078 (x / y) \ T(x,x \ y) = x * (y / x). [para(4072(a,1),3788(a,1,2))]. given #3872 (H,wt=17): 4071 T(x * y,(x * y) \ y) = T(x * y,x \ 1). [para(13(a,1),4070(a,1,2,2))]. given #3873 (H,wt=15): 4083 T(x * y,x \ 1) = ((x * y) \ y) \ y. [hyper(375,a,4071,a),flip(a)]. given #3874 (H,wt=15): 4084 x / T(y * x,y \ 1) = (y * x) \ x. [para(4071(a,1),197(a,1,2))]. given #3875 (H,wt=17): 4079 (x \ ((1 / y) \ x)) * T(x,y) = (1 / y) \ x. [para(65(a,1),4073(a,1,2,2))]. given #3876 (H,wt=17): 4080 ((x \ 1) \ y) / T(y,x) = y \ ((x \ 1) \ y). [para(3020(a,1),4074(a,1,2))]. given #3877 (H,wt=17): 4081 (x / (y * x)) \ T(x,x \ (y * x)) = x * y. [para(15(a,1),4078(a,2,2))]. given #3878 (H,wt=15): 4089 (x / (y * x)) \ T(x,T(y,x)) = x * y. [para(32(a,2),4081(a,1,2,2))]. given #3879 (H,wt=18): 4085 T(x * y,x \ 1) != z | ((x * y) \ y) \ y = z. [para(4071(a,1),375(a,1))]. given #3880 (H,wt=18): 4088 ((x * y) \ y) \ y != z | T(x * y,x \ 1) = z. [para(4084(a,1),282(a,1,1)),flip(b)]. given #3881 (H,wt=19): 4076 x \ ((y \ x) / ((y \ x) / x)) = T(x,y \ 1) \ x. [para(4070(a,1),3993(a,1,1)),flip(a)]. given #3882 (H,wt=15): 4091 T(x,y \ 1) \ x = y * T(y \ 1,x). [hyper(236,a,4002,a(flip),b,4076,a(flip))]. given #3883 (H,wt=15): 4092 K(x \ (x / y),x) = T(x,y \ 1) \ x. [hyper(236,a,1040,a,b,4091,a),flip(a)]. given #3884 (H,wt=15): 4093 T(x,(y \ 1) \ 1) \ x = y \ T(y,x). [hyper(236,a,927,a(flip),b,4091,a)]. given #3885 (H,wt=11): 4097 T(x,y) \ x = y \ T(y,x). [para(3020(a,1),4093(a,1,1))]. given #3886 (H,wt=11): 4099 T(x,y) * (y \ T(y,x)) = x. [para(4097(a,1),14(a,1,2))]. given #3887 (H,wt=9): 4104 T(x,T(y,x)) = T(x,y). [hyper(3901,a,4099,a)]. given #3888 (H,wt=11): 4106 T(x,y) * T(y,x) = x * y. [para(4099(a,1),3763(a,1,1)),flip(a)]. given #3889 (H,wt=11): 4107 x * (T(x,y) \ y) = T(y,x). [hyper(3963,a,4104,a)]. given #3890 (H,wt=11): 4110 T(x,y) \ (x * y) = T(y,x). [hyper(376,a,4104,a)]. given #3891 (H,wt=11): 4113 (x / T(y,x)) * y = T(x,y). [hyper(236,a,3890,a,b,4104,a(flip)),flip(a)]. given #3892 (H,wt=11): 4115 T(x,y) / y = x / T(y,x). [hyper(74,a,4104,a(flip),b,3890,a)]. given #3893 (H,wt=11): 4116 T(x,y) / (T(y,x) \ x) = y. [hyper(74,a,4104,a(flip),b,1018,a)]. given #3894 (H,wt=11): 4117 T(x,y) \ y = x \ T(y,x). [hyper(72,a,4104,a(flip),b,1018,a),flip(a)]. given #3895 (H,wt=11): 4119 T(x,y / x) = T(x,x \ y). [para(121(a,1),4104(a,1,2)),flip(a)]. given #3896 (H,wt=11): 4121 (x * y) / T(y,x) = T(x,y). [para(4104(a,1),199(a,1,2))]. given #3897 (H,wt=11): 4127 T(x * (T(x,y) \ x),y) = x. [para(4104(a,1),3941(a,1,1,2,1))]. given #3898 (H,wt=11): 4128 K(T(x,y),T(y,x)) = K(x,y). [para(4104(a,1),3950(a,1,1))]. given #3899 (H,wt=11): 4131 T(x,y) * (x \ T(y,x)) = y. [hyper(1017,a,4106,a)]. given #3900 (H,wt=11): 4142 (T(x,y) / y) \ x = T(y,x). [para(4115(a,2),65(a,1,1))]. given #3901 (H,wt=11): 4149 T(x,y / x) = (x \ y) \ y. [hyper(236,a,120,a(flip),b,4119,a)]. given #3902 (H,wt=12): 4112 R(T(x,x * y),y,x) = T(x,y). [hyper(236,a,3951,a,b,4104,a(flip)),flip(a)]. given #3903 (H,wt=13): 4100 (x * y) / x = y * (T(y,x) \ y). [para(4097(a,2),3738(a,1,2)),flip(a)]. given #3904 (H,wt=13): 4103 K(x,y) = T(x \ T(x,y),y * x). [para(4097(a,1),4059(a,2,1))]. given #3905 (H,wt=13): 4108 T(x \ y,x) = ((x \ y) \ y) \ y. [hyper(562,a,4104,a),flip(a)]. given #3906 (H,wt=13): 4109 T(x,x \ y) \ y = T(x \ y,x). [hyper(378,a,4104,a)]. given #3907 (H,wt=13): 4111 T(x / T(y,x),y) = y \ T(x,y). [hyper(394,a,4104,a(flip),b,3890,a)]. given #3908 (H,wt=13): 4130 (x / (y * x)) \ T(x,y) = x * y. [para(4104(a,1),4089(a,1,2))]. given #3909 (H,wt=13): 4137 T(x,y) * (y * x) = x * (x * y). [para(4106(a,1),999(a,1,2)),flip(a)]. given #3910 (H,wt=13): 4138 T(x,y) = (x \ (y * x)) \ (y * x). [para(32(a,1),4110(a,1,1)),flip(a)]. given #3911 (H,wt=13): 4139 T(x,y) = (x * (x * y)) / (y * x). [hyper(1311,a,4113,a),flip(a)]. given #3912 (H,wt=13): 4166 T((T(x,y) * y) / T(x,y),x) = y. [para(4100(a,2),3941(a,1,1))]. given #3913 (H,wt=12): 4172 T(x,T(y,x)) != z | T(x,y) = z. [para(4166(a,1),672(a,1,1))]. given #3914 (H,wt=13): 4171 T(x,y) / (x * y) = x / (y * x). [para(4130(a,1),62(a,1,2))]. given #3915 (H,wt=14): 4105 T(x,y) \ x != z | y \ T(y,x) = z. [para(4099(a,1),283(a,1,2)),flip(b)]. given #3916 (H,wt=14): 4132 x * T(y,z) != z * y | T(z,y) = x. [para(4106(a,1),20(a,1)),flip(a)]. given #3917 (H,wt=14): 4141 T(x,y) != z * y | x / T(y,x) = z. [para(4113(a,1),20(a,1))]. given #3918 (H,wt=14): 4143 (x / T(y,x)) * y != z | T(x,y) = z. [para(4115(a,1),221(a,1,1)),flip(b)]. given #3919 (H,wt=14): 4150 R(T(x,y),y / x,x) = T(x,x \ y). [hyper(236,a,763,a,b,4119,a(flip)),flip(a)]. given #3920 (H,wt=14): 4153 T(x,y / x) != z | (x \ y) \ y = z. [para(4119(a,2),375(a,1))]. given #3921 (H,wt=14): 4161 x / T(y,x) != z | T(x,y) / y = z. [para(4142(a,1),294(a,1,2)),flip(b)]. given #3922 (H,wt=14): 4163 T(x,y / x) != z | T(x,x \ y) = z. [para(4149(a,2),286(a,1))]. given #3923 (H,wt=14): 4165 R(T(x,y),x \ y,x) = T(x,x \ y). [para(14(a,1),4112(a,1,1,2))]. given #3924 (H,wt=14): 4173 T(x,y) / (x * y) = R(1 / y,y,x). [hyper(236,a,159,a,b,4171,a)]. given #3925 (H,wt=14): 4175 R(T(x,y),x \ y,x) = (x \ y) \ y. [hyper(236,a,120,a(flip),b,4165,a)]. given #3926 (H,wt=14): 4177 T(x,y) = R(1 / y,y,x) * (x * y). [para(4173(a,1),16(a,1,1)),flip(a)]. given #3927 (H,wt=15): 4096 K(x \ (x / y),x) \ x = T(x,y \ 1). [para(4092(a,2),3130(a,1,1))]. given #3928 (H,wt=15): 4098 T(x,y / x) \ x = x \ (y / (y / x)). [hyper(236,a,3744,a(flip),b,4097,a)]. given #3929 (H,wt=15): 4101 x * ((T(y,x) \ y) * z) = T(x,y) * z. [para(4097(a,2),3868(a,1,2,1))]. given #3930 (H,wt=15): 4102 T(x,y) * (x \ z) = (T(y,x) \ y) * z. [para(4097(a,2),3872(a,1,1)),flip(a)]. given #3931 (H,wt=15): 4114 T(x,T(y \ 1,x)) = T(x,(y \ z) / z). [hyper(236,a,4004,a(flip),b,4104,a(flip)),flip(a)]. given #3932 (H,wt=13): 4184 T(x,(y \ z) / z) = T(x,y \ 1). [hyper(4172,a,4114,a),flip(a)]. given #3933 (H,wt=13): 4186 T(x,y / (z * y)) = T(x,z \ 1). [para(13(a,1),4184(a,1,2,1))]. given #3934 (H,wt=13): 4187 T(x,(y / z) \ 1) = T(x,z / y). [para(65(a,1),4184(a,1,2,1)),flip(a)]. given #3935 (H,wt=14): 4190 T(x,R(y \ 1,y,z)) = T(x,y \ 1). [hyper(236,a,3030,a,b,4186,a(flip)),flip(a)]. given #3936 (H,wt=15): 4118 T(x,L(T(y,x),z,u)) = T(x,L(y,z,u)). [para(40(a,2),4104(a,1,2))]. given #3937 (H,wt=15): 4140 T(x,y) / T(y,x) = x / T(T(y,x),x). [hyper(74,a,4104,a(flip),b,4113,a)]. given #3938 (H,wt=15): 4144 T(x * (y / x),x) = x * (y / T(x,y)). [para(4115(a,1),1355(a,2,2))]. given #3939 (H,wt=15): 4147 T((x \ y) * x,x) = (T(x,y) \ y) * x. [para(4117(a,2),1352(a,2,1))]. given #3940 (H,wt=15): 4151 (x / y) * T(y,y \ x) = y * (x / y). [para(4119(a,1),119(a,1,2))]. given #3941 (H,wt=15): 4152 (x * (y / x)) / T(x,x \ y) = y / x. [para(4119(a,1),138(a,1,2))]. given #3942 (H,wt=15): 4156 (x * (y / x)) * x = y * T(x,x \ y). [para(4119(a,1),891(a,2,2))]. given #3943 (H,wt=15): 4162 ((x / y) * ((y \ x) \ x)) / (x / y) = y. [para(4149(a,1),163(a,1,1,2))]. given #3944 (H,wt=11): 4202 T(x / (x / y),y \ x) = y. [hyper(236,a,907,a(flip),b,4162,a(flip)),flip(a)]. given #3945 (H,wt=13): 4204 T(x / (x / (x / y)),y) = x / y. [para(65(a,1),4202(a,1,2))]. given #3946 (H,wt=15): 4164 (x * (y / x)) * x = y * ((x \ y) \ y). [para(4149(a,1),891(a,2,2))]. given #3947 (H,wt=15): 4168 T((x / y) \ x,x / y) = (y \ x) \ x. [para(65(a,1),4108(a,2,1,1))]. given #3948 (H,wt=15): 4174 T(x,x \ y) / y = x / ((x \ y) * x). [para(14(a,1),4171(a,1,2))]. given #3949 (H,wt=15): 4179 (x / y) * (x * (y / x)) = T(x,y / x). [para(355(a,1),4177(a,2,1)),flip(a)]. given #3950 (H,wt=15): 4180 T(x,(y \ x) \ 1) = K(x \ y,x) \ x. [para(62(a,1),4096(a,1,1,1,2)),flip(a)]. given #3951 (H,wt=15): 4181 x / (y * (x / y)) = y \ (x / (x / y)). [hyper(4064,a,4098,a)]. given #3952 (H,wt=15): 4205 (x / (x / y)) * (y \ x) = (y \ x) * y. [para(4202(a,1),119(a,1,2)),flip(a)]. given #3953 (H,wt=15): 4206 ((x \ y) * x) / (x \ y) = y / (y / x). [para(4202(a,1),163(a,1,1,2))]. given #3954 (H,wt=14): 4214 T(x / (x / y),y \ x) != z | z = y. [para(4206(a,1),287(a,1,1))]. given #3955 (H,wt=14): 4215 T(x / (x / y),x) = L(y,y \ x,y). [para(4206(a,1),665(a,1,1))]. given #3956 (H,wt=15): 4208 (x * (y / x)) / x = y / (y / (y / x)). [para(4204(a,1),163(a,1,1,2))]. given #3957 (H,wt=15): 4212 K(x \ y,x) \ x = x * K(x,y / x). [hyper(3768,a,4180,a),flip(a)]. given #3958 (H,wt=15): 4213 (x * (y \ x)) / (x / y) = (y \ x) * y. [hyper(1197,a,4205,a)]. given #3959 (H,wt=15): 4216 L(T(x,x \ 1),1 / x,x) != y | y = x. [para(1794(a,2),4214(a,1))]. given #3960 (H,wt=15): 4221 ((x \ y) * x) * (y / x) = y * (x \ y). [para(4213(a,1),16(a,1,1))]. given #3961 (H,wt=16): 4125 T(x \ y,x) != z | T(x,x \ y) \ y = z. [para(4104(a,1),378(a,1))]. given #3962 (H,wt=16): 4129 R(x,y,x) * (x * y) = (x * y) * T(x,y). [para(4104(a,1),3952(a,1,2)),flip(a)]. given #3963 (H,wt=11): 4223 R(x,y,T(x,y)) = R(x,y,x). [hyper(18,a,465,a,b,4129,a),flip(a)]. given #3964 (H,wt=9): 4226 L(R(x,y,x),y,x) = x. [para(4223(a,1),1279(a,1,1))]. given #3965 (H,wt=9): 4231 R(L(x,y,x),y,x) = x. [hyper(236,a,44,a,b,4226,a(flip)),flip(a)]. given #3966 (H,wt=12): 4225 x \ T(y * x,y) = R(y,x,y). [hyper(1278,a,4223,a)]. given #3967 (H,wt=12): 4227 x * R(y,x,y) = T(y * x,y). [para(4223(a,1),1277(a,1,2))]. given #3968 (H,wt=14): 4233 (x * (y * x)) / x = L(x,y,x) * y. [para(4231(a,1),462(a,1,1,1))]. given #3969 (H,wt=12): 4241 T((x * y) / x,L(x,y,x)) = y. [hyper(1676,a,4233,a)]. given #3970 (H,wt=10): 4248 T(x,L(y,x,y)) = T(x,y). [para(4241(a,1),201(a,1,1)),flip(a)]. given #3971 (H,wt=12): 4245 T(L(x,y,x) * y,x) = y * x. [para(4233(a,1),162(a,1,1))]. given #3972 (H,wt=14): 4234 R(x,x \ y,x) = (x \ y) \ T(y,x). [para(14(a,1),4225(a,1,2,1)),flip(a)]. given #3973 (H,wt=14): 4242 x * T(y,x * y) = L(y,x,y) * x. [hyper(1156,a,4233,a)]. given #3974 (H,wt=11): 4255 T(x,y * x) = T(x,x * y). [hyper(17,a,598,a,b,4242,a)]. given #3975 (H,wt=11): 4256 T(x,(x \ y) * x) = T(x,y). [hyper(17,a,600,a(flip),b,4242,a)]. given #3976 (H,wt=11): 4260 T(x,x * (y / x)) = T(x,y). [para(16(a,1),4255(a,1,2)),flip(a)]. given #3977 (H,wt=11): 4263 T(x,T(y,y * x)) = T(x,y). [para(4255(a,1),3919(a,1,2))]. given #3978 (H,wt=11): 4264 K(x,T(y,x * y)) = K(x,y). [para(4255(a,2),3997(a,1,2))]. given #3979 (H,wt=13): 4273 K(x,T(x \ y,y)) = K(x,x \ y). [para(14(a,1),4264(a,1,2,2))]. given #3980 (H,wt=14): 4243 ((x * (y * x)) / x) / y = L(x,y,x). [hyper(74,a,4233,a,b,xx)]. given #3981 (H,wt=14): 4244 L(x,y,x) \ ((x * (y * x)) / x) = y. [hyper(72,a,4233,a,b,xx)]. given #3982 (H,wt=14): 4253 T(x,L(x,y,x) * y) = T(x,y * x). [para(4245(a,1),4104(a,1,2)),flip(a)]. given #3983 (H,wt=14): 4254 T((x * y) / x,x * y) = L(y,x,y). [hyper(414,a,4242,a)]. given #3984 (H,wt=14): 4275 T(x,L(x,y,x) * y) = T(x,x * y). [hyper(236,a,4255,a(flip),b,4253,a)]. given #3985 (H,wt=15): 4229 R(x,T(y,x),T(x,y)) = R(x,T(y,x),x). [para(4104(a,1),4223(a,1,3))]. given #3986 (H,wt=15): 4230 T(x \ T(x * y,y),T(x * y,y)) = y. [hyper(236,a,3961,a,b,4226,a(flip)),flip(a)]. given #3987 (H,wt=13): 4279 T(x,x \ T(x * y,y)) = T(x,y). [para(4230(a,1),3920(a,1,2)),flip(a)]. given #3988 (H,wt=13): 4280 K(x,x \ T(x * y,y)) = K(x,y). [para(4230(a,1),4273(a,1,2)),flip(a)]. given #3989 (H,wt=15): 4232 L(R(R(x,y,x),z,u),y,x) = R(x,z,u). [para(4226(a,1),44(a,1,1)),flip(a)]. given #3990 (H,wt=15): 4237 T(x * y,x) != y * z | R(x,y,x) = z. [para(4227(a,1),19(a,1))]. given #3991 (H,wt=15): 4238 x \ T(y * x,y) != z | R(y,x,y) = z. [para(4227(a,1),283(a,1,2)),flip(b)]. given #3992 (H,wt=15): 4249 L(x,y,x) * T(y,x) = y * L(x,y,x). [para(4248(a,1),119(a,1,2))]. given #3993 (H,wt=15): 4252 T((x \ y) * T(x,y),x) = (x \ y) * x. [para(600(a,1),4245(a,1,1))]. given #3994 (H,wt=15): 4261 T(T(x,x * y),z) = T(T(x,z),y * x). [para(4255(a,1),38(a,1,1))]. given #3995 (H,wt=15): 4262 T(T(x,y * x),z) = T(T(x,z),x * y). [para(4255(a,2),38(a,1,1))]. given #3996 (H,wt=15): 4265 T(T(x,y),(x \ z) * x) = T(T(x,z),y). [para(4256(a,1),38(a,1,1)),flip(a)]. given #3997 (H,wt=15): 4268 T(T(x,y) * (y / x),x) = x * (y / x). [para(4260(a,1),3936(a,1,1,1))]. given #3998 (H,wt=15): 4282 T(T(x,y),z * x) = T(T(x,y),x * z). [hyper(417,a,4261,a),flip(a)]. given #3999 (H,wt=16): 4185 T(x,(y \ z) / z) != u | T(x,y \ 1) = u. [para(4114(a,1),4172(a,1))]. given #4000 (H,wt=16): 4277 R(T(x,x * y),y,T(x,x * y)) = T(x,y). [para(4275(a,1),1177(a,1,1))]. given #4001 (H,wt=16): 4281 K(x,y) = (x * R(y,x,y)) \ T(x * y,y). [hyper(236,a,3959,a,b,4280,a(flip))]. given #4002 (H,wt=15): 4285 K(x,y) = T(y * x,y) \ T(x * y,y). [para(4227(a,1),4281(a,2,1))]. given #4003 (H,wt=17): 4120 T(x,y) * T(T(y,x),z) = T(y,z) * T(x,y). [para(4104(a,1),180(a,1,2,1))]. given #4004 (H,wt=13): 4286 T(x,y) \ (y * x) = T(T(y,x),x). [hyper(72,a,4106,a(flip),b,4120,a)]. given #4005 (H,wt=17): 4176 R(T(x,y),x \ y,x) != z | (x \ y) \ y = z. [para(4165(a,2),375(a,1))]. given #4006 (H,wt=17): 4182 (T(x,y / z) \ x) * y = z * T(z \ y,x). [hyper(17,a,1034,a,b,4101,a)]. given #4007 (H,wt=17): 4183 x * (((y * x) / y) \ z) = T(x,y) * (x \ z). [hyper(236,a,4055,a,b,4102,a),flip(a)]. given #4008 (H,wt=15): 4291 ((x * y) / x) \ x = y \ ((y * x) / y). [hyper(72,a,3883,a(flip),b,4183,a),flip(a)]. given #4009 (H,wt=17): 4199 T(x * (y / x),x) = x \ (y * ((x \ y) \ y)). [hyper(394,a,257,a(flip),b,4156,a)]. given #4010 (H,wt=17): 4219 x * T(x / (x / y),x) = y * ((y \ x) * y). [para(4215(a,2),433(a,1,2))]. given #4011 (H,wt=15): 4295 (x / (x / y)) * x = y * ((y \ x) * y). [hyper(220,a,4219,a)]. given #4012 (H,wt=17): 4257 x * T(y,x * y) != z * x | L(y,x,y) = z. [para(4242(a,2),20(a,1))]. given #4013 (H,wt=17): 4276 T(x,(x \ y) * T(x,y)) = T(x,(x \ y) * x). [para(600(a,1),4253(a,1,2))]. given #4014 (H,wt=13): 4296 T(x,(x \ y) * T(x,y)) = T(x,y). [hyper(236,a,4256,a(flip),b,4276,a)]. given #4015 (H,wt=16): 4297 R(T(x,y),x \ y,T(x,y)) = T(x,x \ y). [para(4296(a,1),1173(a,1,1))]. given #4016 (H,wt=17): 4287 T(x,y) * T(T(y,z),x) = T(y,z) * T(x,y). [hyper(236,a,122,a,b,4120,a(flip)),flip(a)]. given #4017 (H,wt=17): 4292 ((x * y) / x) \ (y * z) = T(y,x) * (y \ z). [hyper(236,a,1267,a,b,4183,a(flip)),flip(a)]. given #4018 (H,wt=17): 4294 x \ (y * ((x \ y) \ y)) = x * (y / T(x,y)). [hyper(236,a,4144,a(flip),b,4199,a(flip))]. given #4019 (H,wt=18): 4095 T(x,y \ 1) \ x != z | K(x \ (x / y),x) = z. [para(4091(a,2),1041(a,1))]. given #4020 (H,wt=18): 4157 (x * y) \ (y * T(x,x \ y)) = a(x,y / x,x). [para(4119(a,1),893(a,1,2,2))]. given #4021 (H,wt=18): 4178 R(T(T(x,y),z),x \ y,x) = T((x \ y) \ y,z). [para(4175(a,1),42(a,2,1))]. given #4022 (H,wt=18): 4217 T(T(x / (x / y),x),z) = L(T(y,z),y \ x,y). [para(4215(a,2),40(a,2,1)),flip(a)]. given #4023 (H,wt=18): 4218 L(x \ y,(x \ y) \ y,x \ y) = T(y / x,y). [para(62(a,1),4215(a,1,1,2)),flip(a)]. given #4024 (H,wt=18): 4228 T(x * y,x) * T(x,y) = (x * y) * R(x,y,x). [para(4223(a,1),1936(a,1,2)),flip(a)]. given #4025 (H,wt=18): 4250 x * T(y,z) != y * L(z,y,z) | L(z,y,z) = x. [para(4248(a,1),171(a,1,2)),flip(b)]. given #4026 (H,wt=18): 4251 L(x,y,x) * T(y,x) != z | y * L(x,y,x) = z. [para(4248(a,1),220(a,1,2))]. given #4027 (H,wt=18): 4283 T(T(x,y),x * z) != u | T(T(x,y),z * x) = u. [para(4262(a,1),417(a,1))]. given #4028 (H,wt=18): 4284 T(T(x,y),z * x) != u | T(T(x,x * z),y) = u. [para(4282(a,2),417(a,1))]. given #4029 (H,wt=19): 4077 T(x,y \ 1) \ (y \ T(x,y \ 1)) = x \ (y \ x). [para(4070(a,1),3937(a,1,1))]. given #4030 (H,wt=19): 4122 T(x,y) * L(T(y,x),z,u) = L(y,z,u) * T(x,y). [para(4104(a,1),181(a,1,2,1))]. given #4031 (H,wt=18): 4302 T(x,y) * T(y,y * x) = L(y,x,y) * T(x,y). [para(595(a,1),4122(a,1,2))]. given #4032 (H,wt=16): 4303 T(x,y) * T(y,y * x) = x * L(y,x,y). [hyper(236,a,4249,a(flip),b,4302,a)]. given #4033 (H,wt=16): 4305 T(x,y) * T(y,x * y) = x * L(y,x,y). [para(4255(a,2),4303(a,1,2))]. given #4034 (H,wt=17): 4306 L(x,T(y,x),x) * T(y,x) = y * L(x,y,x). [hyper(236,a,602,a,b,4305,a(flip)),flip(a)]. given #4035 (H,wt=11): 4307 L(x,T(y,x),x) = L(x,y,x). [hyper(4250,a,4306,a),flip(a)]. given #4036 (H,wt=16): 4308 ((x * (y * x)) / x) / y = L(x,T(y,x),x). [hyper(236,a,4243,a,b,4307,a),flip(a)]. given #4037 (H,wt=19): 4123 T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y). [para(4104(a,1),182(a,1,2,1))]. given #4038 (H,wt=19): 4145 T(x,y) \ ((T(y,x) \ x) * y) = K(y \ T(x,y),y). [para(4117(a,2),96(a,1,2,1))]. given #4039 (H,wt=19): 4167 x \ T(x,T(y,(y \ 1) * x) \ 1) = K(x,y \ 1). [hyper(236,a,3810,a,b,4103,a),flip(a)]. given #4040 (H,wt=19): 4191 (x / (y * x)) * T(z,y \ 1) = z * (x / (y * x)). [para(4186(a,1),119(a,1,2))]. given #4041 (H,wt=19): 4196 T(T(x,y),L(T(z,x),u,w)) = T(T(x,L(z,u,w)),y). [para(4118(a,1),38(a,1,1)),flip(a)]. given #4042 (H,wt=19): 4210 T(x,y \ 1) / (y \ x) = x / ((x \ (y \ x)) * x). [para(4070(a,1),4174(a,1,1))]. given #4043 (H,wt=19): 4222 (x * (y / x)) * (y / (y / x)) = y * ((y / x) \ y). [para(65(a,1),4221(a,1,1,1))]. given #4044 (H,wt=15): 4315 (x * (y / x)) * (y / (y / x)) = y * x. [para(65(a,1),4222(a,2,2))]. given #4045 (H,wt=19): 4224 (x * y) * T(x,y) != z * (x * y) | R(x,y,x) = z. [para(4129(a,1),20(a,1))]. given #4046 (H,wt=19): 4236 (x * y) \ (x * T(z * y,z)) = L(R(z,y,z),y,x). [para(4225(a,1),105(a,1,1)),flip(a)]. given #4047 (H,wt=19): 4267 (((x \ y) * x) / T(x,y)) * x = T((x \ y) * x,x). [para(4256(a,1),4113(a,1,1,2))]. given #4048 (H,wt=15): 4317 ((x \ y) * x) / T(x,y) = x \ T(y,x). [hyper(18,a,1352,a(flip),b,4267,a)]. given #4049 (H,wt=15): 4318 (x \ T(y,x)) * T(x,y) = (x \ y) * x. [para(4317(a,1),16(a,1,1))]. given #4050 (H,wt=18): 4319 (x \ T(y,x)) * T(x,y) != z * x | x \ y = z. [para(4318(a,2),20(a,1))]. given #4051 (H,wt=19): 4269 T(x,y) * (x \ T(x * (y / x),x)) = x * (y / x). [para(4260(a,1),4131(a,1,1))]. given #4052 (H,wt=15): 4320 T(x,y) * (T(y,x) / x) = x * (y / x). [para(1357(a,1),4269(a,1,2))]. given #4053 (H,wt=15): 4321 T(x,y) * (y / T(x,y)) = x * (y / x). [para(4115(a,1),4320(a,1,2))]. given #4054 (H,wt=18): 4322 T(x,y) * z != x * (y / x) | y / T(x,y) = z. [para(4321(a,1),19(a,1)),flip(a)]. given #4055 (H,wt=19): 4304 T(x,y) * T(y,y * x) != x * z | L(y,x,y) = z. [para(4303(a,2),19(a,1))]. given #4056 (H,wt=19): 4316 (x * y) * ((y * x) / ((y * x) / x)) = (y * x) * x. [para(15(a,1),4315(a,1,1,2))]. given #4057 (H,wt=15): 4323 (x * y) * ((y * x) / y) = (y * x) * x. [para(15(a,1),4316(a,1,2,2))]. given #4058 (H,wt=19): 4324 x * (((y \ x) * y) / (y \ x)) = ((y \ x) * y) * y. [hyper(515,a,4323,a)]. given #4059 (H,wt=15): 4325 ((x \ y) * x) * x = y * (y / (y / x)). [para(4206(a,1),4324(a,1,2)),flip(a)]. given #4060 (H,wt=20): 4062 (x * y) * z != y * x | T(T(x,y) \ x,x * y) = z. [para(4058(a,1),169(a,2))]. given #4061 (H,wt=20): 4090 T((x \ 1) * y,x) != z | (((x \ 1) * y) \ y) \ y = z. [para(3020(a,1),4085(a,1))]. given #4062 (H,wt=20): 4124 T(x,y) * T(T(y,x),z) != u | T(y,z) * T(x,y) = u. [para(4104(a,1),368(a,1,2,1))]. given #4063 (H,wt=20): 4159 (x * R(y,z,u)) / R(T(y,x),z,u) = T(x,R(y,z,u)). [para(42(a,2),4121(a,1,2))]. given #4064 (H,wt=20): 4170 T(x,x \ T(x * y,y)) \ T(x * y,y) = R(y,x,y). [hyper(236,a,3956,a(flip),b,4109,a)]. given #4065 (H,wt=14): 4328 T(x,y) \ T(x * y,y) = R(y,x,y). [para(4279(a,1),4170(a,1,1))]. given #4066 (H,wt=16): 4329 (x \ (y * x)) \ T(y * x,x) = R(x,y,x). [para(32(a,1),4328(a,1,1))]. given #4067 (H,wt=20): 4220 R(1 / (1 / (1 / x)),x,y) = (x * (y / (x * y))) / x. [para(4208(a,1),840(a,1,1))]. given #4068 (H,wt=20): 4247 (x * ((x \ y) * x)) / x != z | (x \ y) * T(x,y) = z. [para(4233(a,2),886(a,1))]. given #4069 (H,wt=20): 4266 ((x \ y) * x) * T(x,y) != z | x * ((x \ y) * x) = z. [para(4256(a,1),220(a,1,2))]. given #4070 (H,wt=20): 4293 T(x,y) * (x \ z) != x * u | ((y * x) / y) \ z = u. [para(4183(a,1),19(a,1))]. given #4071 (H,wt=20): 4310 R(x,y,x) * T(x * y,x) = T(x * y,x) * T(x,y). [para(4112(a,1),4123(a,1,2)),flip(a)]. given #4072 (H,wt=19): 4330 R(x,y,x) * T(x * y,x) = (x * y) * R(x,y,x). [hyper(236,a,4228,a(flip),b,4310,a)]. given #4073 (H,wt=20): 4311 R(x,y / x,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(4150(a,1),4123(a,1,2)),flip(a)]. given #4074 (H,wt=20): 4312 R(x,x \ y,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(4165(a,1),4123(a,1,2)),flip(a)]. given #4075 (H,wt=13): 4332 R(x,y / x,x) = R(x,x \ y,x). [hyper(18,a,4311,a,b,4312,a),flip(a)]. given #4076 (H,wt=13): 4334 R(x,(x * y) / x,x) = R(x,y,x). [para(13(a,1),4332(a,2,2))]. given #4077 (H,wt=11): 4335 R(x,T(y,x),x) = R(x,y,x). [para(163(a,1),4334(a,1,2)),flip(a)]. given #4078 (H,wt=13): 4336 R(x,T(y,x),T(x,y)) = R(x,y,x). [hyper(236,a,4229,a,b,4335,a(flip)),flip(a)]. given #4079 (H,wt=19): 4337 R(R(x,y,z),T(u,x),T(x,u)) = R(R(x,u,x),y,z). [para(4336(a,1),46(a,1,1)),flip(a)]. given #4080 (H,wt=21): 4198 (x / T(y,x)) * T(y,y \ T(x,y)) = y * (T(x,y) / y). [para(4115(a,1),4151(a,1,1))]. given #4081 (H,wt=21): 4211 ((x / y) / x) * ((y \ x) * y) = T(x / y,x / (x / y)). [para(3954(a,1),4179(a,1,2))]. given #4082 (H,wt=19): 4338 ((x / y) / x) * ((y \ x) * y) = ((x / y) \ x) \ x. [hyper(236,a,4149,a(flip),b,4211,a)]. given #4083 (H,wt=15): 4339 ((x / y) / x) * ((y \ x) * y) = y \ x. [para(65(a,1),4338(a,2,1))]. given #4084 (H,wt=19): 4340 ((x / (x / y)) / x) * (y * (x / y)) = (x / y) \ x. [para(65(a,1),4339(a,1,2,1))]. given #4085 (H,wt=15): 4341 (x / (x / y)) / x = y / (y * (x / y)). [hyper(74,a,65,a(flip),b,4340,a),flip(a)]. given #4086 (H,wt=21): 4258 L(x,y,x) * y != z * u | z \ ((x * (y * x)) / x) = u. [para(4242(a,1),1176(a,1))]. given #4087 (H,wt=21): 4274 L(x,y,x) * y != z * u | ((x * (y * x)) / x) / u = z. [para(4243(a,1),374(a,1,1))]. given #4088 (H,wt=21): 4289 (T(x,(y / z) / (1 / z)) \ x) * (y / z) = T(y,x) / z. [hyper(236,a,1605,a(flip),b,4182,a)]. given #4089 (H,wt=21): 4300 T(x * y,x) * T(x,y) != (x * y) * z | R(x,y,x) = z. [para(4228(a,2),19(a,1))]. given #4090 (H,wt=22): 4136 R(x,T(y,z),T(z,y)) * (y * z) = (x * T(y,z)) * T(z,y). [para(4106(a,1),113(a,1,2))]. given #4091 (H,wt=22): 4193 T(x \ T(x,(y * z) / z),T(y,u)) = R(x \ T(x,y),y,z). [para(4187(a,1),3828(a,1,1,2))]. given #4092 (H,wt=18): 4343 T(x \ T(x,y),T(y,z)) = R(x \ T(x,y),y,u). [para(15(a,1),4193(a,1,1,2,2))]. given #4093 (H,wt=14): 4344 R(x \ T(x,y),y,z) = x \ T(x,y). [hyper(236,a,3167,a(flip),b,4343,a(flip))]. given #4094 (H,wt=17): 4346 (x \ T(x,y)) \ (((x * y) / x) * z) = y * z. [para(4344(a,1),3756(a,1,1))]. given #4095 (H,wt=15): 4347 (x \ T(x,x \ y)) \ y = (x \ y) * x. [para(67(a,1),4346(a,1,2))]. given #4096 (H,wt=15): 4350 (x \ ((x \ y) \ y)) \ y = (x \ y) * x. [para(120(a,1),4347(a,1,1,2))]. given #4097 (H,wt=15): 4351 x / ((y \ x) * y) = y \ ((y \ x) \ x). [para(4350(a,1),62(a,1,2))]. given #4098 (H,wt=15): 4352 (x * (y / x)) / y = y / ((x \ y) * x). [hyper(236,a,4066,a,b,4351,a),flip(a)]. given #4099 (H,wt=18): 4345 T(x \ T(x,y),T(y,z)) != u | x \ T(x,y) = u. [para(4343(a,2),343(a,1)),flip(b)]. given #4100 (H,wt=22): 4201 (x * (y / x)) * x != z * u | (y * T(x,x \ y)) / u = z. [para(4156(a,2),555(a,1))]. given #4101 (H,wt=22): 4209 R(x / y,x / (x / y),x / y) = T((x * (x / y)) / x,y). [para(4204(a,1),735(a,1,1))]. given #4102 (H,wt=20): 4353 R(x / y,x / (x / y),x / y) = (x * (y \ x)) / x. [hyper(236,a,670,a(flip),b,4209,a)]. given #4103 (H,wt=22): 4235 T(x * y,x) * K(R(x,y,x),y) = (y \ T(x * y,x)) * y. [para(4225(a,1),249(a,1,2,1))]. given #4104 (H,wt=22): 4270 ((x * (y / x)) / T(x,y)) * x != z | T(x * (y / x),x) = z. [para(4260(a,1),4143(a,1,1,2))]. given #4105 (H,wt=22): 4299 R(T(T(x,y),(x \ z) * x),x \ z,x) = T((x \ z) \ z,y). [para(4265(a,2),4178(a,1,1))]. given #4106 (H,wt=23): 4158 x \ (T(x,y / x) / (1 / (x \ y))) = (x / (1 / (x \ y))) / x. [para(4119(a,2),3806(a,1,2,1))]. given #4107 (H,wt=23): 4160 (T(x,y) * (y * x)) / T(x,y) = T(y,x) * T(T(x,y),y * x). [para(4121(a,1),1166(a,1,1)),flip(a)]. given #4108 (H,wt=23): 4200 (x * T(y,y \ x)) / T(y,z) = ((y * (x / y)) / T(y,z)) * y. [hyper(74,a,4156,a(flip),b,1143,a)]. given #4109 (H,wt=23): 4259 R(T(x,y * R(x,z,u)),z,u) = T(R(x,z,u),R(x,z,u) * y). [hyper(236,a,42,a,b,4255,a(flip)),flip(a)]. given #4110 (H,wt=23): 4271 T(x,x * y) * R(T(y,x),z,u) = R(y,z,u) * T(x,x * y). [para(4263(a,1),182(a,1,2,1))]. given #4111 (H,wt=23): 4326 ((x \ T(y,x)) * T(x,y)) * T(x,y) = y * (y / (y / T(x,y))). [para(4117(a,1),4325(a,1,1,1))]. given #4112 (H,wt=19): 4358 ((x \ y) * x) * T(x,y) = y * (y / (y / T(x,y))). [para(4318(a,1),4326(a,1,1))]. given #4113 (H,wt=17): 4359 x * (x / (x / T(y,x))) = y * ((y \ x) * y). [hyper(4266,a,4358,a),flip(a)]. given #4114 (H,wt=15): 4360 x / (x / T(y,x)) = T(x / (x / y),x). [hyper(168,a,4295,a,b,4359,a),flip(a)]. given #4115 (H,wt=15): 4362 T(x / (x / y),x) \ x = x / T(y,x). [para(4360(a,1),65(a,1,1))]. given #4116 (H,wt=14): 4364 L(x,x \ y,x) \ y = y / T(x,y). [para(4215(a,1),4362(a,1,1))]. given #4117 (H,wt=15): 4363 x / T(y \ x,x) = T(x / y,x) \ x. [para(62(a,1),4362(a,1,1,1,2)),flip(a)]. given #4118 (H,wt=20): 4361 x * ((x \ y) * x) != y * z | y / (y / T(x,y)) = z. [para(4359(a,1),19(a,1))]. given #4119 (H,wt=23): 4333 T(x,y) * T(y,y \ x) != z * T(x,y) | R(y,y \ x,y) = z. [para(4312(a,1),20(a,1))]. given #4120 (H,wt=23): 4355 ((x \ y) * x) * T((x \ y) \ y,z) = (T(x,z) * (x \ y)) * x. [para(4299(a,1),614(a,1,2))]. given #4121 (H,wt=23): 4357 ((x * (y / x)) / T(x,z)) * x = (y / T(x,z)) * T(x,x \ y). [hyper(236,a,2617,a(flip),b,4200,a(flip))]. given #4122 (H,wt=19): 4366 (x / T(y,x)) * T(y,y \ x) = T(y * (x / y),y). [hyper(4270,a,4357,a),flip(a)]. given #4123 (H,wt=19): 4368 (x / T(y,x)) * T(y,y \ x) = y * (T(x,y) / y). [hyper(236,a,1355,a(flip),b,4366,a)]. given #4124 (H,wt=13): 4369 T(x,x \ T(y,x)) = T(x,x \ y). [hyper(17,a,4198,a,b,4368,a),flip(a)]. given #4125 (H,wt=13): 4371 T(x,T(x,y) \ y) = T(x,x \ y). [para(4117(a,2),4369(a,1,2))]. given #4126 (H,wt=22): 4370 (x / T(y,x)) * z != y * (T(x,y) / y) | T(y,y \ x) = z. [para(4368(a,1),19(a,1)),flip(a)]. given #4127 (H,wt=23): 4365 ((x \ y) * x) * T(T(x,x \ y),z) = (T(x,z) * (x \ y)) * x. [para(120(a,2),4355(a,1,2,1))]. given #4128 (H,wt=24): 4056 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = (T(x,y) \ x) * z. [hyper(236,a,3757,a,b,4055,a(flip)),flip(a)]. given #4129 (H,wt=15): 4373 (x \ T(x,y)) \ z = (T(x,y) \ x) * z. [para(4344(a,1),4056(a,1,1))]. given #4130 (H,wt=13): 4376 1 / (x \ T(x,y)) = T(x,y) \ x. [hyper(429,a,4373,a)]. given #4131 (H,wt=13): 4379 x * ((T(x,y) \ x) \ 1) = T(x,y). [para(4376(a,1),142(a,1,2,1))]. given #4132 (H,wt=15): 4374 (T(x,y) \ x) * z = x * (T(x,y) \ z). [hyper(3962,a,4373,a),flip(a)]. given #4133 (H,wt=15): 4375 (T(x,y) \ x) * (T(x,y) * z) = x * z. [hyper(3933,a,4373,a),flip(a)]. given #4134 (H,wt=15): 4377 (x \ T(x,y)) \ z = T(y,x) * (y \ z). [hyper(236,a,4102,a,b,4373,a)]. given #4135 (H,wt=15): 4381 T(x,y) = x * (((y * x) / (x * y)) \ 1). [para(4060(a,2),4379(a,1,2,1)),flip(a)]. given #4136 (H,wt=15): 4382 T(x,y) * (x \ z) = y * (T(y,x) \ z). [hyper(236,a,4102,a,b,4374,a(flip)),flip(a)]. given #4137 (H,wt=15): 4385 (T(x,y) \ x) \ z = T(x,y) * (x \ z). [hyper(72,a,14,a(flip),b,4375,a)]. given #4138 (H,wt=15): 4386 T(x,y) * (x \ (T(y,x) * z)) = y * z. [hyper(236,a,4102,a,b,4375,a(flip)),flip(a)]. given #4139 (H,wt=15): 4389 T(x,y) * (T(y,x) * z) = x * (y * z). [para(4375(a,1),4101(a,1,2)),flip(a)]. given #4140 (H,wt=17): 4384 x * T(x \ y,z) = z * (T(z,y / x) \ y). [hyper(236,a,4182,a(flip),b,4374,a(flip)),flip(a)]. given #4141 (H,wt=17): 4387 ((x * y) / x) \ (T(x,y) * z) = y \ (x * z). [hyper(72,a,4375,a(flip),b,4055,a),flip(a)]. given #4142 (H,wt=17): 4390 x \ (((y * x) / y) * z) = T(x,y) \ (x * z). [hyper(72,a,4346,a(flip),b,4377,a(flip)),flip(a)]. given #4143 (H,wt=17): 4396 x \ (((y * x) / y) * z) = x * (T(x,y) \ z). [hyper(236,a,1003,a(flip),b,4390,a)]. given #4144 (H,wt=18): 4393 T(x,y) * (T(y,x) * z) = (x * y) * L(z,y,x). [hyper(236,a,103,a,b,4389,a)]. given #4145 (H,wt=16): 4398 L(T(x,y) \ 1,x,y) = (y * x) \ T(y,x). [hyper(366,a,4393,a),flip(a)]. given #4146 (H,wt=19): 4395 (T(x,y) * (x \ y)) \ (T(x,y) * z) = y \ (x * z). [para(3883(a,2),4387(a,1,1))]. given #4147 (H,wt=18): 4399 x \ (y * ((y \ x) * z)) = L(z,y \ x,T(y,x)). [hyper(447,a,4395,a),flip(a)]. given #4148 (H,wt=15): 4400 L(x,y \ z,T(y,z)) = L(x,y \ z,y). [hyper(722,a,4399,a),flip(a)]. given #4149 (H,wt=20): 4397 x * (T(x,y) \ z) != u | ((y * x) / y) * (x \ z) = u. [para(4396(a,1),1282(a,1))]. given #4150 (H,wt=21): 4380 x * (((y * x) / (x * y)) \ 1) = T(x,(x \ 1) * (y * x)). [para(4019(a,1),4379(a,1,2,1))]. given #4151 (H,wt=13): 4401 T(x,(x \ 1) * (y * x)) = T(x,y). [hyper(236,a,4381,a,b,4380,a(flip))]. given #4152 (H,wt=15): 4402 T(x,T((x \ 1) * y,x)) = T(x,x \ y). [para(1629(a,1),4401(a,1,2))]. given #4153 (H,wt=13): 4403 T(x,(x \ 1) * y) = T(x,x \ y). [hyper(4172,a,4402,a)]. given #4154 (H,wt=13): 4404 T(x,(1 / x) * y) = T(x,x \ y). [hyper(236,a,2962,a,b,4403,a(flip)),flip(a)]. given #4155 (H,wt=13): 4407 x / T(y,(1 / y) * x) = y \ x. [para(4404(a,2),197(a,1,2))]. given #4156 (H,wt=15): 4408 x / T(y \ 1,y * x) = (y \ 1) \ x. [para(62(a,1),4407(a,1,2,2,1))]. given #4157 (H,wt=15): 4409 T(x \ 1,x * y) = ((x \ 1) \ y) \ y. [para(4408(a,1),65(a,1,1)),flip(a)]. given #4158 (H,wt=17): 4406 x \ T(x,T(y,y \ x) \ 1) = K(x,y \ 1). [para(4403(a,1),4167(a,1,2,2,1))]. given #4159 (H,wt=17): 4410 T((x / y) \ 1,x) = (((x / y) \ 1) \ y) \ y. [para(16(a,1),4409(a,1,2))]. given #4160 (H,wt=17): 4411 T(x,T(y,y \ x) \ 1) = x * K(x,y \ 1). [para(4406(a,1),14(a,1,2)),flip(a)]. given #4161 (H,wt=13): 4412 K(x,(y \ x) / x) = K(x,y \ 1). [hyper(17,a,3790,a(flip),b,4411,a(flip)),flip(a)]. given #4162 (H,wt=20): 4413 T(x,T(y,y \ x) \ 1) != x * z | K(x,y \ 1) = z. [para(4411(a,2),19(a,1))]. given #4163 (H,wt=21): 4383 x * (T(x,(y / z) / (1 / z)) \ (y / z)) = T(y,x) / z. [hyper(236,a,4289,a(flip),b,4374,a(flip))]. given #4164 (H,wt=22): 4388 (T(x,y) \ x) * (T(x,y) * z) != u * w | u \ (x * z) = w. [para(4375(a,2),545(a,1))]. given #4165 (H,wt=22): 4391 T(x,y) * (x \ (T(y,x) * z)) != u * w | u \ (y * z) = w. [para(4386(a,2),545(a,1))]. given #4166 (H,wt=22): 4392 T(x,y) * (x \ (T(y,x) * z)) != u * w | (y * z) / w = u. [para(4386(a,2),555(a,1))]. given #4167 (H,wt=22): 4394 x * (T(x,y / (z \ 1)) \ y) != u | z \ T(z * y,x) = u. [para(4384(a,1),941(a,1))]. given #4168 (H,wt=23): 4405 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,x \ y)) * y. [para(4403(a,1),3825(a,2,1,2))]. given #4169 (H,wt=19): 4414 (((x \ 1) * y) \ y) * ((x \ 1) * y) = x * (y / x). [hyper(236,a,3938,a(flip),b,4405,a)]. given #4170 (H,wt=24): 4133 (x * (y * z)) \ ((x * T(y,z)) * T(z,y)) = a(x,T(y,z),T(z,y)). [para(4106(a,1),24(a,2,1,2)),flip(a)]. given #4171 (H,wt=24): 4134 (T(x,y) * (T(y,x) * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(4106(a,1),24(a,2,2,1)),flip(a)]. given #4172 (H,wt=20): 4415 (x * (y * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(4389(a,1),4134(a,1,1))]. given #4173 (H,wt=13): 4416 a(T(x,y),T(y,x),z) = a(x,y,z). [hyper(679,a,4415,a),flip(a)]. given #4174 (H,wt=16): 4417 a(T(x,y),T(y,x),z) != u | a(x,y,z) = u. [para(4415(a,1),679(a,1))]. given #4175 (H,wt=24): 4169 L((((x \ y) \ z) \ z) \ z,x \ y,x) = T(y \ (x * z),x \ y). [para(4108(a,1),725(a,1,1))]. given #4176 (H,wt=24): 4246 L(x \ y,x,L(z,x,z)) = ((z * (x * z)) / z) \ (L(z,x,z) * y). [para(4233(a,2),105(a,2,1))]. given #4177 (H,wt=24): 4290 (T(x,(y / z) / (1 / z)) \ x) * (y / z) != u | T(y,x) / z = u. [para(4182(a,2),1615(a,1))]. given #4178 (H,wt=24): 4342 (R(x,y,z) * T(u,x)) * T(x,u) = R(R(x,u,x),y,z) * (u * x). [para(4337(a,1),4136(a,1,1)),flip(a)]. given #4179 (H,wt=21): 4418 (R(x,y,z) * T(u,x)) * T(x,u) = (R(x,y,z) * u) * x. [hyper(236,a,472,a(flip),b,4342,a)]. given #4180 (H,wt=18): 4419 T(x * y,x) * T(x,y) = (R(x,y,x) * y) * x. [para(1512(a,1),4418(a,1,1))]. given #4181 (H,wt=17): 4420 (R(x,y,x) * y) * x = (x * y) * R(x,y,x). [hyper(236,a,4228,a(flip),b,4419,a(flip))]. given #4182 (H,wt=20): 4421 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) != z | z = x. [para(4420(a,1),283(a,1,2))]. given #4183 (H,wt=24): 4348 (x \ T(x,y)) \ (((x * y) / x) * z) != u * w | u \ (y * z) = w. [para(4346(a,2),545(a,1))]. given #4184 (H,wt=24): 4356 (T(x,y) * (y * x)) / T(x,y) != z | T(x,y * x) * T(y,x) = z. [para(4160(a,2),4124(a,1))]. given #4185 (H,wt=25): 4197 (x * (x * (T(x,y) \ y))) / T((x \ y) * x,x) = T(x,T(x,y) \ y). [para(4147(a,2),4139(a,2,2)),flip(a)]. given #4186 (H,wt=21): 4422 (x * T(y,x)) / T((x \ y) * x,x) = T(x,T(x,y) \ y). [para(4107(a,1),4197(a,1,1,2))]. given #4187 (H,wt=19): 4423 (x * y) / T((y \ x) * y,y) = T(y,T(y,x) \ x). [para(119(a,1),4422(a,1,1))]. given #4188 (H,wt=17): 4424 (x * y) / T((y \ x) * y,y) = T(y,y \ x). [hyper(236,a,4371,a(flip),b,4423,a)]. given #4189 (H,wt=25): 4288 L(T(x,y),z,u) \ (y * L(x,z,u)) = T(T(y,L(x,z,u)),L(x,z,u)). [para(40(a,2),4286(a,1,1))]. given #4190 (H,wt=25): 4372 (x * y) * T(T(y,y \ (y * x)),z) = (T(y,z) * (y \ (y * x))) * y. [para(13(a,1),4365(a,1,1,1))]. given #4191 (H,wt=21): 4426 (T(x,y) * (x \ (x * z))) * x = (z * x) * T(T(x,z),y). [para(13(a,1),4372(a,1,2,1,2)),flip(a)]. given #4192 (H,wt=17): 4427 (x * y) * T(T(y,x),z) = (T(y,z) * x) * y. [para(13(a,1),4426(a,1,1,2)),flip(a)]. given #4193 (H,wt=17): 4428 (x * y) * T(T(y,z),x) = (T(y,z) * x) * y. [hyper(236,a,122,a,b,4427,a(flip)),flip(a)]. given #4194 (H,wt=16): 4429 R(T(T(x,y),z * x),z,x) = T(T(x,y),z). [hyper(889,a,4428,a)]. given #4195 (H,wt=26): 4146 (T(x,y) * ((x \ T(y,x)) * z)) \ (y * z) = a(T(x,y),T(x,y) \ y,z). [para(4117(a,1),92(a,1,1,2,1))]. given #4196 (H,wt=26): 4272 T(x,x * y) * L(T(y,x),z,u) != w | L(y,z,u) * T(x,x * y) = w. [para(4263(a,1),369(a,1,2,1))]. given #4197 (H,wt=26): 4331 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = L(R(x,y,x),y,R(x,y,x)). [para(4330(a,1),4236(a,1,2))]. given #4198 (H,wt=12): 4430 L(R(x,y,x),y,R(x,y,x)) = x. [hyper(4421,a,4331,a)]. given #4199 (H,wt=26): 4367 (x / T(y,z)) * T(y,y \ x) != u * y | (y * (x / y)) / T(y,z) = u. [para(4357(a,1),20(a,1))]. given #4200 (H,wt=27): 4148 T(x,x * y) * R(x \ T(x * y,x),z,u) = T(x * R(y,z,u),x * y). [para(4117(a,1),1970(a,1,2,1))]. given #4201 (H,wt=28): 4298 L(T(x,y),T(z,x),z / T(z,x)) * z = (z / T(z,x)) * (T(x,y) * T(z,x)). [para(4287(a,1),724(a,1,2)),flip(a)]. given #4202 (H,wt=28): 4354 R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * ((x / y) \ x)) / x. [para(4208(a,2),4353(a,1,2))]. given #4203 (H,wt=24): 4431 R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * y) / x. [para(65(a,1),4354(a,2,1,2))]. given #4204 (H,wt=28): 4425 L(T(x,y),z,u) \ (y * L(x,z,u)) != w | T(T(y,L(x,z,u)),L(x,z,u)) = w. [para(4288(a,2),417(a,1))]. given #4205 (H,wt=29): 4094 (T(x,y \ 1) \ x) \ (y * (T(y \ 1,x) * z)) != u | L(z,T(y \ 1,x),y) = u. [para(4091(a,2),447(a,1,1))]. given #4206 (H,wt=26): 4432 T(x,y \ 1) * (x \ (y * (T(y \ 1,x) * z))) = L(z,T(y \ 1,x),y). [hyper(4094,a,4385,a),flip(a)]. given #4207 (H,wt=26): 4434 x * (T(y,x \ 1) * (y \ (T(x \ 1,y) * z))) = L(z,T(x \ 1,y),x). [hyper(236,a,4005,a(flip),b,4432,a(flip)),flip(a)]. given #4208 (H,wt=16): 4435 L(x,T(y \ 1,z),y) = y * ((y \ 1) * x). [para(4386(a,1),4434(a,1,2)),flip(a)]. given #4209 (H,wt=15): 4436 L(x,T(y \ 1,z),y) = L(x,y \ 1,y). [hyper(236,a,188,a(flip),b,4435,a)]. given #4210 (H,wt=24): 4438 L(T(1 / x,y) \ z,x \ 1,x) = (x * T(1 / x,y)) \ (x * z). [hyper(236,a,3635,a(flip),b,4436,a(flip))]. given #4211 (H,wt=29): 4240 L(x,y,z) * R(L(x,y,z) \ 1,x,x \ 1) = L(T((x \ 1) * x,x \ 1),y,z). [para(4227(a,1),2633(a,2,1))]. given #4212 (H,wt=24): 4441 L(T((x \ 1) * x,x \ 1),y,z) = a(1 / L(x,y,z),x,x \ 1). [hyper(1089,a,4240,a),flip(a)]. given #4213 (H,wt=20): 4442 a(1 / L(x,y,z),x,x \ 1) = L(K(x \ 1,x),y,z). [para(2527(a,1),4441(a,1,1)),flip(a)]. given #4214 (H,wt=25): 4443 L(K(x \ 1,x),y,z) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [hyper(74,a,4442,a(flip),b,1084,a)]. given #4215 (H,wt=25): 4445 K(L(x,y,z) \ 1,x) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [para(2530(a,1),4443(a,1,1))]. given #4216 (H,wt=29): 4433 T(x,y \ 1) * (x \ (y * (T(y \ 1,x) * z))) != u | L(z,T(y \ 1,x),y) = u. [para(4385(a,1),4094(a,1))]. given #4217 (H,wt=30): 4327 (x * R(x * K(y,x),z,u)) / R(x * K(y,x),z,u) = T(x,R(x * K(y,x),z,u)). [para(2004(a,1),4159(a,1,2,1))]. given #4218 (H,wt=12): 4446 T(x,R(x * K(y,x),z,u)) = x. [hyper(304,a,4327,a),flip(a)]. given #4219 (H,wt=31): 4086 ((x \ 1) \ 1) \ (((x * y) \ y) \ y) = ((x \ 1) \ (((x \ 1) \ 1) \ (x * y))) * (x \ 1). [hyper(72,a,4083,a(flip),b,1628,a(flip))]. given #4220 (H,wt=29): 4448 ((x \ 1) \ 1) \ (((x * y) \ y) \ y) = ((x \ 1) \ (K(x \ 1,x) * y)) * (x \ 1). [para(2996(a,1),4086(a,2,1,2))]. given #4221 (H,wt=23): 4449 ((x \ 1) \ 1) \ (((x * y) \ y) \ y) = ((1 / x) \ y) * (x \ 1). [para(2951(a,1),4448(a,2,1))]. given #4222 (H,wt=30): 4450 ((x \ 1) \ 1) \ (((x * y) \ y) \ y) != z * u | (((1 / x) \ y) * (x \ 1)) / u = z. [para(4449(a,2),555(a,1))]. given #4223 (H,wt=31): 4087 (x * y) * ((((x \ 1) \ 1) \ (x * y)) / (x * y)) = ((x \ 1) \ 1) \ (((x * y) \ y) \ y). [para(4083(a,1),3786(a,1,2)),flip(a)]. given #4224 (H,wt=29): 4451 (x * y) * ((K(x \ 1,x) * y) / (x * y)) = ((x \ 1) \ 1) \ (((x * y) \ y) \ y). [para(2996(a,1),4087(a,1,2,1))]. given #4225 (H,wt=24): 4452 ((x \ 1) \ 1) \ (((x * y) \ y) \ y) = (x * y) * R(x \ 1,x,y). [para(276(a,1),4451(a,1,2)),flip(a)]. given #4226 (H,wt=20): 4453 (((1 / x) \ y) * (x \ 1)) / R(x \ 1,x,y) = x * y. [hyper(4450,a,4452,a)]. given #4227 (H,wt=31): 4440 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * ((x * T(1 / x,y)) \ (x * z)). [para(4438(a,1),3488(a,2,2))]. given #4228 (H,wt=21): 4454 T((x \ 1) * (x * ((y * z) / y)),y) = (x \ 1) * (x * z). [hyper(236,a,4016,a(flip),b,4440,a)]. given #4229 (H,wt=22): 4455 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * (x * (x \ y)). [hyper(3831,a,4454,a)]. given #4230 (H,wt=18): 4457 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * y. [hyper(236,a,88,a(flip),b,4455,a)]. given #4231 (H,wt=21): 4459 (x * ((1 / y) * z)) / ((y \ 1) * z) = x * K(y,y \ 1). [para(4457(a,1),2974(a,1,2))]. given #4232 (H,wt=26): 4460 R(x,K(y \ 1,y),(1 / y) * z) = K(y \ 1,y) * (x * K(y,y \ 1)). [para(4459(a,1),3843(a,1,2)),flip(a)]. given #4233 (H,wt=14): 4462 R(x,K(y \ 1,y),(1 / y) * z) = x. [hyper(236,a,2839,a(flip),b,4460,a)]. given #4234 (H,wt=10): 4466 R(x,K(y \ 1,y),z) = x. [para(14(a,1),4462(a,1,3))]. given #4235 (H,wt=10): 4469 R(x,y,K(z \ 1,z)) = x. [hyper(236,a,3713,a(flip),b,4466,a(flip)),flip(a)]. given #4236 (H,wt=10): 4481 R(x,y,K(z,1 / z)) = x. [para(65(a,1),4469(a,1,3,1))]. given #4237 (H,wt=10): 4484 R(x,y,K(z,z \ 1)) = x. [para(1769(a,1),4469(a,1,3))]. given #4238 (H,wt=10): 4485 R(x,y,K(1 / z,z)) = x. [para(1801(a,2),4469(a,1,3))]. given #4239 (H,wt=13): 4476 T(x,y * K(z \ 1,z)) = T(x,y). [hyper(3618,a,4469,a),flip(a)]. given #4240 (H,wt=13): 4480 R(x,y,(z \ 1) \ 1) = R(x,y,z). [hyper(236,a,3453,a(flip),b,4469,a(flip))]. given #4241 (H,wt=13): 4487 T(x,y * K(z,z \ 1)) = T(x,y). [hyper(3623,a,4484,a),flip(a)]. given #4242 (H,wt=13): 4488 R(x,y,1 / z) = R(x,y,z \ 1). [hyper(3450,a,4484,a)]. given #4243 (H,wt=13): 4506 R(x,y,1 / (1 / z)) = R(x,y,z). [para(144(a,1),4480(a,1,3)),flip(a)]. given #4244 (H,wt=15): 4475 T(x,y / (1 / z)) = T(x,y / (z \ 1)). [hyper(3708,a,4469,a),flip(a)]. given #4245 (H,wt=15): 4498 T(x,y * (((y \ z) \ 1) \ 1)) = T(x,z). [para(2289(a,1),4476(a,1,2))]. given #4246 (H,wt=15): 4500 T(x,y * (1 / z)) = T(x,y * (z \ 1)). [para(2740(a,1),4476(a,1,2)),flip(a)]. given #4247 (H,wt=15): 4501 T(x,(1 / y) \ z) = T(x,(y \ 1) \ z). [para(2949(a,1),4476(a,1,2))]. given #4248 (H,wt=15): 4502 T(x,(1 / y) * z) = T(x,(y \ 1) * z). [para(2957(a,1),4476(a,1,2)),flip(a)]. given #4249 (H,wt=15): 4503 T(x,((y \ 1) \ 1) \ z) = T(x,y \ z). [para(3002(a,1),4476(a,1,2))]. given #4250 (H,wt=15): 4512 T(x,y * (1 / (1 / z))) = T(x,y * z). [para(2749(a,1),4487(a,1,2)),flip(a)]. given #4251 (H,wt=15): 4513 T(x,T(y,y \ 1) * z) = T(x,y * z). [para(2906(a,1),4487(a,1,2))]. given #4252 (H,wt=15): 4521 T((x \ 1) * y,x \ y) = (x \ 1) * y. [hyper(236,a,673,a(flip),b,4503,a(flip))]. given #4253 (H,wt=11): 4523 K((x \ 1) * y,x \ y) = 1. [hyper(36,a,4521,a)]. given #4254 (H,wt=17): 4504 T(x,(y \ 1) \ K(z,y)) = T(x,y * K(z,y)). [para(3172(a,1),4476(a,1,2)),flip(a)]. given #4255 (H,wt=17): 4508 R(x,y,T((z \ 1) \ 1,u)) = R(x,y,T(z,u)). [para(2479(a,1),4480(a,1,3))]. given #4256 (H,wt=17): 4515 T(x,y * (z * K(u,u \ 1))) = T(x,y * z). [para(3543(a,1),4487(a,1,2))]. given #4257 (H,wt=19): 4470 (x * K(y \ 1,y)) * z = x * (K(y \ 1,y) * z). [para(4466(a,1),113(a,1,1)),flip(a)]. given #4258 (H,wt=10): 4526 L(x,K(y \ 1,y),z) = x. [hyper(436,a,4470,a)]. given #4259 (H,wt=10): 4530 L(x,K(y,y \ 1),z) = x. [para(1769(a,1),4526(a,1,2))]. given #4260 (H,wt=10): 4534 L(x,y * (1 / y),z) = x. [para(1770(a,1),4530(a,1,2))]. given #4261 (H,wt=19): 4477 (x * K(y,y \ 1)) / z = x / (z * K(y \ 1,y)). [hyper(2867,a,4469,a),flip(a)]. given #4262 (H,wt=19): 4479 x / (y * K(z \ 1,z)) = K(z,z \ 1) * (x / y). [hyper(236,a,3642,a(flip),b,4469,a(flip)),flip(a)]. given #4263 (H,wt=19): 4482 (x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)). [para(4469(a,1),113(a,1,1)),flip(a)]. given #4264 (H,wt=10): 4542 a(x,y,K(z \ 1,z)) = 1. [hyper(71,a,4482,a(flip),b,91,a),flip(a)]. given #4265 (H,wt=10): 4549 a(x,y,K(1 / z,z)) = 1. [para(1801(a,2),4542(a,1,3))]. given #4266 (H,wt=14): 4539 K(L(x,y,z) \ 1,x) = K(x \ 1,x). [hyper(2602,a,4482,a)]. given #4267 (H,wt=14): 4550 L(K(1 / x,x),y,z) = K(1 / x,x). [hyper(33,a,4549,a)]. given #4268 (H,wt=19): 4486 (x * y) * K(z,1 / z) = x * (y * K(z,1 / z)). [para(4481(a,1),113(a,1,1)),flip(a)]. given #4269 (H,wt=19): 4492 (x * y) * K(z,z \ 1) = x * (y * K(z,z \ 1)). [para(4484(a,1),113(a,1,1)),flip(a)]. given #4270 (H,wt=14): 4556 L(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(436,a,4492,a)]. given #4271 (H,wt=17): 4554 K(L(x,y,z),L(x,y,z) \ 1) = K(x,x \ 1). [hyper(3544,a,4492,a)]. given #4272 (H,wt=17): 4561 L(x,y,z) \ K(x,x \ 1) = 1 / L(x,y,z). [hyper(72,a,4554,a(flip),b,1770,a(flip))]. given #4273 (H,wt=17): 4563 L(x,y,z) \ (1 / x) = x \ (1 / L(x,y,z)). [hyper(72,a,4561,a(flip),b,1780,a(flip)),flip(a)]. given #4274 (H,wt=19): 4493 x \ (y * K(z,z \ 1)) = (x \ y) * K(z,z \ 1). [para(4484(a,1),463(a,1,1))]. given #4275 (H,wt=19): 4494 x \ (K(y,y \ 1) * z) = (x \ z) * K(y,y \ 1). [para(4484(a,1),2534(a,1,1))]. given #4276 (H,wt=19): 4495 (x * y) * K(1 / z,z) = x * (y * K(1 / z,z)). [para(4485(a,1),113(a,1,1)),flip(a)]. given #4277 (H,wt=19): 4511 T(x,L(y,z,u) * (1 / y)) = T(x,y \ L(y,z,u)). [para(2349(a,1),4487(a,1,2))]. given #4278 (H,wt=19): 4525 T(x,y * (z * (1 / u))) = T(x,y * (z * (u \ 1))). [para(2837(a,1),4515(a,1,2,2))]. given #4279 (H,wt=19): 4527 K(x \ 1,x) * (y * z) = y * (K(x \ 1,x) * z). [hyper(236,a,3651,a(flip),b,4470,a(flip)),flip(a)]. given #4280 (H,wt=17): 4570 K(x \ 1,x) * (y \ 1) = y \ K(x \ 1,x). [hyper(366,a,4527,a),flip(a)]. given #4281 (H,wt=19): 4538 x / (K(y \ 1,y) * z) = K(y,y \ 1) * (x / z). [para(2516(a,2),4479(a,1,2))]. given #4282 (H,wt=19): 4540 K(x \ 1,x) * (y * z) = y * (z * K(x \ 1,x)). [hyper(2528,a,4482,a)]. given #4283 (H,wt=19): 4553 K(x,1 / x) * (y * z) = y * (z * K(x,1 / x)). [hyper(236,a,2512,a,b,4486,a(flip)),flip(a)]. given #4284 (H,wt=19): 4564 x \ (y * K(z,z \ 1)) = K(z,z \ 1) * (x \ y). [hyper(236,a,2500,a,b,4493,a)]. given #4285 (H,wt=17): 4577 K(x,x \ 1) * (y \ 1) = y \ K(x,x \ 1). [para(11(a,1),4564(a,1,2)),flip(a)]. given #4286 (H,wt=17): 4578 K(x,x \ 1) * (y \ x) = y \ T(x,x \ 1). [para(1821(a,1),4564(a,1,2)),flip(a)]. given #4287 (H,wt=19): 4565 (K(x \ 1,x) * y) \ z = (y \ z) * K(x,x \ 1). [hyper(236,a,3650,a,b,4493,a(flip)),flip(a)]. given #4288 (H,wt=19): 4567 x \ (K(y,y \ 1) * z) = K(y,y \ 1) * (x \ z). [hyper(236,a,2500,a,b,4494,a)]. given #4289 (H,wt=19): 4568 K(x,x \ 1) * (y * (K(x \ 1,x) * z)) = y * z. [hyper(2863,a,4527,a)]. given #4290 (H,wt=19): 4569 x \ (K(y \ 1,y) * z) = K(y \ 1,y) * (x \ z). [hyper(551,a,4527,a)]. given #4291 (H,wt=17): 4589 K(x \ 1,x) * (y \ x) = y \ (1 / (1 / x)). [para(2540(a,1),4569(a,1,2)),flip(a)]. given #4292 (H,wt=19): 4574 x \ (K(y \ 1,y) * z) = (x \ z) * K(y \ 1,y). [hyper(551,a,4540,a)]. given #4293 (H,wt=17): 4594 (x \ (1 / y)) * K(y \ 1,y) = x \ (y \ 1). [para(1733(a,1),4574(a,1,2)),flip(a)]. given #4294 (H,wt=15): 4597 T(x,y \ (1 / z)) = T(x,y \ (z \ 1)). [para(4594(a,1),4476(a,1,2)),flip(a)]. given #4295 (H,wt=17): 4599 (1 / x) / T(y,y \ (x \ 1)) = y \ (1 / x). [para(4597(a,1),197(a,1,2))]. given #4296 (H,wt=19): 4580 (x \ K(y,y \ 1)) * y = (x \ 1) * ((y \ 1) \ 1). [para(4577(a,1),2843(a,1,1))]. given #4297 (H,wt=19): 4586 K(x,x \ 1) * (y * z) = y * (K(x,x \ 1) * z). [para(2846(a,1),4568(a,1,2,2))]. given #4298 (H,wt=19): 4588 (x * K(y,y \ 1)) \ z = K(y \ 1,y) * (x \ z). [hyper(3619,a,4569,a)]. given #4299 (H,wt=19): 4603 (K(x,x \ 1) * y) \ z = K(x \ 1,x) * (y \ z). [para(2500(a,2),4588(a,1,1))]. given #4300 (H,wt=19): 4605 (K(x,x \ 1) * y) \ z = (y \ z) * K(x \ 1,x). [hyper(236,a,2516,a(flip),b,4603,a)]. given #4301 (H,wt=17): 4608 T(x,(K(y,y \ 1) * z) \ u) = T(x,z \ u). [para(4605(a,2),4476(a,1,2))]. given #4302 (H,wt=19): 4611 T(x,(y * (1 / z)) \ u) = T(x,(y * (z \ 1)) \ u). [para(2862(a,1),4608(a,1,2,1))]. given #4303 (H,wt=19): 4612 T(x,((1 / y) \ z) \ u) = T(x,((y \ 1) \ z) \ u). [para(2947(a,1),4608(a,1,2,1)),flip(a)]. given #4304 (H,wt=19): 4613 T(x,(((y \ 1) \ 1) \ z) \ u) = T(x,(y \ z) \ u). [para(3000(a,1),4608(a,1,2,1)),flip(a)]. given #4305 (H,wt=20): 4522 T(x,R(y \ 1,y,z) \ u) = T(x,(z / (y * z)) \ u). [para(2148(a,2),4503(a,1,2,1))]. given #4306 (H,wt=21): 4519 x * (T(x,(y / z) / (z \ 1)) \ (y / z)) = T(y,x) / z. [para(4475(a,1),4383(a,1,2,1))]. given #4307 (H,wt=15): 4614 x \ T(x * (y / x),z) = T(y,z) / x. [hyper(4394,a,4519,a)]. given #4308 (H,wt=15): 4615 T(x * (y / x),z) = x * (T(y,z) / x). [para(4614(a,1),14(a,1,2)),flip(a)]. given #4309 (H,wt=13): 4625 T(x * (y / x),y) = x * (y / x). [para(118(a,1),4615(a,2,2,1))]. given #4310 (H,wt=15): 4616 T(x * y,z) / y = y \ T(y * x,z). [para(15(a,1),4614(a,1,2,1,2)),flip(a)]. given #4311 (H,wt=15): 4617 (x \ T(x * (y / x),z)) * x = T(y,z). [para(4614(a,2),16(a,1,1))]. given #4312 (H,wt=15): 4620 T((x \ y) * x,z) / x = x \ T(y,z). [para(61(a,1),4614(a,1,2,1)),flip(a)]. given #4313 (H,wt=15): 4624 x * (T(y * x,z) / x) = T(x * y,z). [para(15(a,1),4615(a,1,1,2)),flip(a)]. given #4314 (H,wt=15): 4630 T(x * (y / x),K(y,z)) = x * (y / x). [para(3250(a,1),4615(a,2,2,1))]. given #4315 (H,wt=13): 4645 T(K(x,y),z * (x / z)) = K(x,y). [hyper(35,a,4630,a)]. given #4316 (H,wt=15): 4634 (x \ T(x * y,z)) * x = T(y * x,z). [para(4616(a,1),16(a,1,1))]. given #4317 (H,wt=15): 4639 T((x \ y) * x,z) = (x \ T(y,z)) * x. [para(61(a,1),4617(a,1,1,2,1)),flip(a)]. given #4318 (H,wt=13): 4652 T((x \ y) * x,y) = (x \ y) * x. [para(118(a,1),4639(a,2,1,2))]. given #4319 (H,wt=15): 4644 T(x,T(y * x,z)) = T(x,T(x * y,z)). [para(4624(a,1),4260(a,1,2)),flip(a)]. given #4320 (H,wt=15): 4646 T(K(x * y,z),y * x) = K(x * y,z). [para(15(a,1),4645(a,1,2,2))]. given #4321 (H,wt=17): 4623 x \ T(T(x,y) * y,z) = T(x * y,z) / x. [para(3875(a,2),4614(a,1,2,1))]. given #4322 (H,wt=17): 4626 T(x * ((y / z) / x),z) = x * ((z \ y) / x). [para(121(a,1),4615(a,2,2,1))]. given #4323 (H,wt=17): 4631 T(x * (y / x),y) / y = y / ((x \ y) * x). [para(4625(a,2),4352(a,1,1))]. given #4324 (H,wt=17): 4635 T(x \ T(x * y,z),x) = x \ T(y * x,z). [para(4616(a,1),121(a,1,1))]. given #4325 (H,wt=17): 4640 x \ T((x \ y) * x,z) = T(x \ T(y,z),x). [para(4620(a,1),121(a,1,1)),flip(a)]. given #4326 (H,wt=17): 4653 x * ((y \ T(z,x)) * y) = ((y \ z) * y) * x. [para(4639(a,1),119(a,1,2))]. given #4327 (H,wt=17): 4655 T((x \ (y / z)) * x,z) = (x \ (z \ y)) * x. [para(121(a,1),4639(a,2,1,2))]. given #4328 (H,wt=18): 4619 x * (T(y,z) / x) != u | T(x * (y / x),z) = u. [para(4614(a,1),216(a,1,2)),flip(b)]. given #4329 (H,wt=18): 4641 x * (T((x \ y) * x,z) / x) != u | T(y,z) = u. [para(4620(a,2),216(a,1,2)),flip(b)]. given #4330 (H,wt=18): 4642 (x \ T(y,z)) * x != u | T((x \ y) * x,z) = u. [para(4620(a,1),221(a,1,1)),flip(b)]. given #4331 (H,wt=18): 4647 T(x * y,z) != u * y | y \ T(y * x,z) = u. [para(4634(a,1),20(a,1))]. given #4332 (H,wt=18): 4648 T(x * y,z) / y != u | y \ T(y * x,z) = u. [para(4634(a,1),296(a,1,1)),flip(b)]. given #4333 (H,wt=18): 4651 T((x \ y) * x,z) != u * x | x \ T(y,z) = u. [para(4639(a,2),20(a,1))]. given #4334 (H,wt=18): 4656 T((x \ y) * x,z) / x != u | x \ T(y,z) = u. [para(4639(a,2),296(a,1,1)),flip(b)]. given #4335 (H,wt=19): 4618 (x \ y) \ T((x \ y) * x,z) = T(y,z) / (x \ y). [para(62(a,1),4614(a,1,2,1,2))]. given #4336 (H,wt=17): 4666 (x \ y) \ T((x \ y) * x,x) = (y * x) / y. [hyper(236,a,1284,a(flip),b,4618,a)]. given #4337 (H,wt=19): 4632 x \ T(x * y,1 / x) = ((1 / x) \ y) * (1 / x). [hyper(1606,a,4616,a),flip(a)]. given #4338 (H,wt=19): 4633 (x \ 1) * T((x \ 1) \ y,z) = T(y * x,z) / x. [hyper(236,a,877,a,b,4616,a),flip(a)]. given #4339 (H,wt=19): 4638 K(x \ 1,x) * T(K(x,x \ 1) * y,z) = T(y,z). [hyper(236,a,2870,a,b,4617,a(flip)),flip(a)]. given #4340 (H,wt=19): 4657 T((x \ y) * x,z) \ T(y,z) = K(x,x \ T(y,z)). [para(4639(a,2),97(a,1,1))]. given #4341 (H,wt=19): 4659 (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)). [para(4626(a,1),119(a,1,2)),flip(a)]. given #4342 (H,wt=19): 4661 ((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x). [para(121(a,1),4653(a,1,2,1,2)),flip(a)]. given #4343 (H,wt=19): 4663 (x * ((y \ (x \ z)) * y)) / x = (y \ (z / x)) * y. [para(4655(a,1),163(a,1,1,2))]. given #4344 (H,wt=19): 4668 T(K(x,x \ 1) * y,z) = K(x,x \ 1) * T(y,z). [hyper(2863,a,4638,a),flip(a)]. given #4345 (H,wt=19): 4671 (x * (((y * z) / y) / x)) * y = y * (x * (z / x)). [para(13(a,1),4659(a,2,2,2,1))]. given #4346 (H,wt=19): 4675 (x * ((y \ z) * y)) / x = (y \ ((x * z) / x)) * y. [para(13(a,1),4663(a,1,1,2,1,2))]. given #4347 (H,wt=17): 4678 (x \ ((x * y) / x)) * x = (x \ y) * T(x,y). [hyper(4247,a,4675,a),flip(a)]. given #4348 (H,wt=19): 4677 T(x * K(y,y \ 1),z) = K(y,y \ 1) * T(x,z). [para(2500(a,1),4668(a,1,1))]. given #4349 (H,wt=21): 4520 T(x,(1 / y) * K(z,y \ 1)) = T(x,y \ K(z,y \ 1)). [para(3170(a,1),4502(a,2,2))]. given #4350 (H,wt=21): 4536 (x * K(y,y \ 1)) / (z * ((y \ 1) \ 1)) = x / (z * y). [para(2791(a,1),4477(a,2,2))]. given #4351 (H,wt=19): 4680 (1 / (1 / x)) / (y * x) = x / (y * ((x \ 1) \ 1)). [para(2531(a,1),4536(a,1,1)),flip(a)]. given #4352 (H,wt=21): 4551 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(x \ 1,x). [hyper(236,a,1222,a,b,4539,a(flip)),flip(a)]. given #4353 (H,wt=21): 4579 K(x,x \ 1) * (y \ (z / ((x \ 1) \ 1))) = y \ (z / x). [para(2836(a,1),4564(a,1,2)),flip(a)]. given #4354 (H,wt=21): 4584 K(x,x \ 1) * (y * (z / (1 / x))) = y * (z / (x \ 1)). [para(2742(a,1),4568(a,1,2,2))]. given #4355 (H,wt=21): 4585 K(x,x \ 1) * (y * (z * (x \ 1))) = y * (z * (1 / x)). [para(2744(a,1),4568(a,1,2,2))]. given #4356 (H,wt=21): 4587 K(x,x \ 1) * (y * ((1 / x) \ z)) = y * ((x \ 1) \ z). [para(2918(a,1),4568(a,1,2,2))]. given #4357 (H,wt=21): 4593 K(x,x \ 1) * ((y \ (1 / (1 / x))) * z) = (y \ x) * z. [para(4589(a,1),3585(a,1,2,1))]. given #4358 (H,wt=17): 4684 x * K(y \ (1 / (1 / x)),y) = (y \ x) * y. [hyper(236,a,2966,a(flip),b,4593,a(flip)),flip(a)]. given #4359 (H,wt=17): 4685 ((x \ y) * x) * (y \ 1) = ((x \ y) * x) / y. [para(4684(a,1),3830(a,1,1))]. given #4360 (H,wt=20): 4686 ((x \ y) * x) / y != ((x \ y) * x) * z | y \ 1 = z. [para(4685(a,1),19(a,1))]. given #4361 (H,wt=21): 4598 (x \ (1 / y)) * T(z,x \ (y \ 1)) = z * (x \ (1 / y)). [para(4597(a,1),119(a,1,2))]. given #4362 (H,wt=21): 4602 K(x,x \ 1) * (y * (z \ 1)) = y * (z \ K(x,x \ 1)). [para(4577(a,1),4586(a,2,2))]. given #4363 (H,wt=21): 4604 K(x \ 1,x) * ((y * (x \ 1)) \ z) = (y * (1 / x)) \ z. [para(2837(a,1),4588(a,1,1)),flip(a)]. given #4364 (H,wt=21): 4607 (((1 / x) \ y) \ z) * K(x \ 1,x) = ((x \ 1) \ y) \ z. [para(2947(a,1),4605(a,1,1)),flip(a)]. given #4365 (H,wt=21): 4609 ((x \ 1) \ y) * K(z \ 1,z) = (x \ K(z,z \ 1)) \ y. [para(4577(a,1),4605(a,1,1)),flip(a)]. given #4366 (H,wt=21): 4637 x * (y \ T(y * (x \ z),x)) = ((x \ (z * y)) * x) / y. [para(4616(a,1),3818(a,1,2))]. given #4367 (H,wt=21): 4682 (L(x,y,z) \ x) * K(x \ 1,x) = (L(x,y,z) \ 1) * x. [para(4551(a,1),14(a,1,2))]. given #4368 (H,wt=19): 4692 (L(x,y,z) \ 1) * T(x,x \ 1) = L(x,y,z) \ x. [hyper(2790,a,4682,a)]. given #4369 (H,wt=14): 4695 T(x,L(x,y,z) \ 1) = T(x,x \ 1). [hyper(168,a,1211,a,b,4692,a)]. given #4370 (H,wt=16): 4696 T(x,L(x,y,z) \ 1) = K(x,x \ 1) * x. [hyper(236,a,1735,a,b,4695,a)]. given #4371 (H,wt=17): 4698 T(x,L(x,y,z) \ 1) != u | T(x,x \ 1) = u. [para(4696(a,2),1736(a,1))]. given #4372 (H,wt=19): 4697 T(x,L(x,y,z) \ 1) != u * x | K(x,x \ 1) = u. [para(4696(a,2),20(a,1))]. given #4373 (H,wt=21): 4683 L(x,y,z \ (u / ((w \ 1) \ 1))) = L(x,y,z \ (u / w)). [para(4579(a,1),3850(a,1,3)),flip(a)]. given #4374 (H,wt=21): 4689 K(x,x \ 1) * (((x \ 1) \ y) \ z) = ((1 / x) \ y) \ z. [hyper(2864,a,4607,a)]. given #4375 (H,wt=21): 4690 ((x \ K(y,y \ 1)) \ z) * K(y,y \ 1) = (x \ 1) \ z. [hyper(2855,a,4609,a)]. given #4376 (H,wt=22): 4507 R(x,y,z) * (y * ((z \ 1) \ 1)) = (x * y) * ((z \ 1) \ 1). [para(4480(a,1),113(a,1,1))]. given #4377 (H,wt=22): 4558 (x * y) * K(z,z \ 1) != u | x * (y * K(z,z \ 1)) = u. [para(4556(a,1),219(a,1,2))]. given #4378 (H,wt=20): 4702 ((x \ 1) \ 1) * y != z | x * (y * K(x,x \ 1)) = z. [para(2934(a,1),4558(a,1))]. given #4379 (H,wt=22): 4576 K(x \ 1,x) * (y * z) != u | y * (K(x \ 1,x) * z) = u. [para(4540(a,2),2529(a,1))]. given #4380 (H,wt=22): 4582 x \ (K(y,y \ 1) * z) != u | (x \ z) * K(y,y \ 1) = u. [para(4567(a,2),2506(a,1))]. given #4381 (H,wt=22): 4590 x \ (K(y \ 1,y) * z) != u | (x \ z) * K(y \ 1,y) = u. [para(4569(a,2),2521(a,1))]. given #4382 (H,wt=22): 4621 x * (T(y,z) / x) != u * w | T(x * (y / x),z) / w = u. [para(4614(a,1),529(a,1,2))]. given #4383 (H,wt=22): 4628 T(x * (y / x),z) != u * w | (x * (T(y,z) / x)) / w = u. [para(4615(a,2),555(a,1))]. given #4384 (H,wt=22): 4636 (x \ 1) \ T((x \ 1) * y,z) != u | x * T(x \ y,z) = u. [para(4616(a,1),934(a,1))]. given #4385 (H,wt=22): 4658 (x * y) * K(y * x,z) != u | K(y * x,z) * (x * y) = u. [para(4646(a,1),220(a,1,2))]. given #4386 (H,wt=22): 4664 x * ((y \ (x \ z)) * y) != u | ((y \ (z / x)) * y) * x = u. [para(4655(a,1),220(a,1,2))]. given #4387 (H,wt=22): 4676 ((x \ (y / z)) * x) * z != u | z * ((x \ (z \ y)) * x) = u. [para(4663(a,1),221(a,1,1)),flip(b)]. given #4388 (H,wt=23): 4509 T(x,R(1 / y,z,u) * K(w,w \ 1)) = T(x,R(y \ 1,z,u)). [hyper(236,a,3513,a(flip),b,4487,a)]. given #4389 (H,wt=23): 4546 (x * (y * K(z \ 1,z))) \ u = (x * y) \ (K(z,z \ 1) * u). [para(4482(a,1),3639(a,1,1))]. given #4390 (H,wt=23): 4547 (x * (y * K(z \ 1,z))) * u = K(z \ 1,z) * ((x * y) * u). [para(4482(a,1),3651(a,1,1))]. given #4391 (H,wt=23): 4548 x / (y * (z * K(u \ 1,u))) = K(u,u \ 1) * (x / (y * z)). [para(4482(a,1),4479(a,1,2))]. given #4392 (H,wt=23): 4595 x \ (y * (K(z \ 1,z) * u)) = (x \ (y * u)) * K(z \ 1,z). [para(4527(a,1),4574(a,1,2))]. given #4393 (H,wt=23): 4596 (x \ (1 / R(y,z,u))) * K(y \ 1,y) = x \ (R(y,z,u) \ 1). [para(3666(a,1),4594(a,1,2))]. given #4394 (H,wt=21): 4711 (1 / x) \ (1 / R(x,y,z)) = (x \ 1) \ (R(x,y,z) \ 1). [hyper(18,a,2949,a,b,4596,a)]. given #4395 (H,wt=19): 4712 (1 / x) \ (1 / R(x,y,z)) = (x \ R(x,y,z)) \ 1. [hyper(236,a,3380,a(flip),b,4711,a)]. given #4396 (H,wt=23): 4601 x \ (y * (K(z,z \ 1) * u)) = (x \ (y * u)) * K(z,z \ 1). [para(4586(a,1),4494(a,1,2))]. given #4397 (H,wt=23): 4606 K(x \ 1,x) * (R(x \ 1,y,z) \ u) = R(1 / x,y,z) \ u. [para(3719(a,1),4603(a,1,1)),flip(a)]. given #4398 (H,wt=23): 4610 (x * (K(y,y \ 1) * z)) \ u = ((x * z) \ u) * K(y \ 1,y). [para(4586(a,1),4605(a,1,1))]. given #4399 (H,wt=23): 4662 (x \ y) * ((z \ ((x \ y) \ y)) * z) = ((z \ x) * z) * (x \ y). [para(120(a,1),4653(a,1,2,1,2))]. given #4400 (H,wt=19): 4715 ((x \ y) * x) * (y \ 1) = (1 / y) * ((x \ y) * x). [hyper(236,a,3840,a(flip),b,4662,a(flip))]. given #4401 (H,wt=17): 4716 (1 / x) * ((y \ x) * y) = ((y \ x) * y) / x. [hyper(236,a,4685,a(flip),b,4715,a(flip))]. given #4402 (H,wt=23): 4673 ((x \ (y * (z \ 1))) * x) / (z \ 1) = z * ((x \ (z \ y)) * x). [hyper(236,a,3731,a,b,4661,a(flip)),flip(a)]. given #4403 (H,wt=23): 4688 T(x,x \ 1) \ ((y * (x \ 1)) \ z) = x \ ((y * (1 / x)) \ z). [para(4604(a,1),2936(a,1,2)),flip(a)]. given #4404 (H,wt=21): 4717 (x \ 1) * ((y * (x \ 1)) \ y) = x \ ((y * (1 / x)) \ y). [hyper(236,a,2272,a(flip),b,4688,a(flip)),flip(a)]. given #4405 (H,wt=23): 4691 ((x \ (y / (z \ 1))) * x) * (z \ 1) = ((x \ (y * z)) * x) / z. [hyper(236,a,1424,a,b,4637,a(flip)),flip(a)]. given #4406 (H,wt=23): 4694 ((L(x,y,z) \ 1) * x) * (1 / x) = (L(x,y,z) \ x) * (x \ 1). [para(4682(a,1),2741(a,1,1))]. given #4407 (H,wt=23): 4703 T(x,R(K(y,y \ 1) * (1 / z),u,w)) = T(x,R(z \ 1,u,w)). [para(3721(a,2),4509(a,1,2))]. given #4408 (H,wt=21): 4721 T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ 1,u,w)). [para(3589(a,1),4703(a,1,2,1))]. given #4409 (H,wt=23): 4707 K(x \ 1,x) * (y / (z * (u * K(x \ 1,x)))) = y / (z * u). [hyper(2860,a,4548,a(flip))]. given #4410 (H,wt=19): 4722 x / (K(y,y \ 1) * z) = K(y \ 1,y) * (x / z). [para(2858(a,1),4707(a,1,2,2)),flip(a)]. given #4411 (H,wt=23): 4719 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = ((y \ (z * x)) * y) / x. [hyper(4676,a,4691,a)]. given #4412 (H,wt=24): 4649 T(x * y,z) \ T(y * x,z) != u | K(x \ T(x * y,z),x) = u. [para(4634(a,1),421(a,1,2))]. given #4413 (H,wt=13): 4723 K(x \ T(x * y,x),x) = K(y,x). [hyper(4649,a,4285,a(flip))]. given #4414 (H,wt=13): 4724 K(x \ T(y,x),x) = K(x \ y,x). [para(14(a,1),4723(a,1,1,2,1))]. given #4415 (H,wt=17): 4725 T(x,y) \ ((T(y,x) \ x) * y) = K(y \ x,y). [hyper(236,a,4145,a,b,4724,a(flip)),flip(a)]. given #4416 (H,wt=17): 4726 T(x,y) * K(y \ x,y) = (T(y,x) \ x) * y. [para(4725(a,1),14(a,1,2))]. given #4417 (H,wt=20): 4727 (T(x,y) \ y) * x != z * K(x \ y,x) | T(y,x) = z. [para(4725(a,1),86(a,1,2)),flip(a),flip(b)]. given #4418 (H,wt=25): 4660 x / ((((y \ 1) * x) \ x) * ((y \ 1) * x)) = T((y \ x) * y,x) / x. [para(3811(a,1),4631(a,1,1,1)),flip(a)]. given #4419 (H,wt=17): 4728 T((x \ y) * x,y) / y = y / (x * (y / x)). [para(4414(a,1),4660(a,1,2)),flip(a)]. given #4420 (H,wt=15): 4729 ((x \ y) * x) / y = y / (x * (y / x)). [para(4652(a,1),4728(a,1,1))]. given #4421 (H,wt=15): 4730 ((x \ y) * x) / y = x \ (y / (y / x)). [hyper(236,a,4181,a(flip),b,4729,a)]. given #4422 (H,wt=17): 4731 (1 / x) * ((y \ x) * y) = y \ (x / (x / y)). [hyper(236,a,4716,a,b,4730,a(flip)),flip(a)]. given #4423 (H,wt=24): 4732 L((x \ ((y \ 1) \ 1)) * x,y \ 1,y) = y * (x \ (y / (y / x))). [para(4731(a,1),3841(a,2,2))]. given #4424 (H,wt=25): 4687 K(x,x \ 1) * (y \ (z * (u \ 1))) = y \ (z * (u \ K(x,x \ 1))). [para(4602(a,1),4567(a,1,2)),flip(a)]. given #4425 (H,wt=25): 4699 (x * y) * ((z \ 1) \ 1) != u * (y * ((z \ 1) \ 1)) | R(x,y,z) = u. [para(4507(a,1),20(a,1))]. given #4426 (H,wt=25): 4700 (x * (y \ 1)) * ((y \ 1) \ 1) != z * u | R(x,y \ 1,y) / u = z. [para(4507(a,1),524(a,1))]. given #4427 (H,wt=25): 4714 (1 / x) * (R(1 / x,y,z) \ u) = (x \ 1) * (R(x \ 1,y,z) \ u). [para(4606(a,1),2916(a,1,2))]. given #4428 (H,wt=24): 4733 (x \ 1) * (R(x \ 1,x,y) \ z) = (1 / x) * ((y / (x * y)) \ z). [para(159(a,1),4714(a,1,2,1)),flip(a)]. given #4429 (H,wt=26): 4496 (x * y) \ ((x * (y * z)) * K(1 / u,u)) = L(z,y,x) * K(1 / u,u). [para(4485(a,1),499(a,1,1))]. given #4430 (H,wt=26): 4524 R(x,T(y,z) \ 1,T(y,z)) / T((y \ 1) \ 1,z) = x * (T(y,z) \ 1). [para(4508(a,1),2611(a,1,1))]. given #4431 (H,wt=26): 4572 (x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(K(z \ 1,z) * u,y,x). [para(4527(a,2),28(a,2,2,2)),flip(a)]. given #4432 (H,wt=26): 4701 (x * y) * K(z \ 1,z) != u | x * (y * K(1 / z,(1 / z) \ 1)) = u. [para(1800(a,1),4558(a,1,2))]. given #4433 (H,wt=26): 4709 (x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(u,y,x) * K(z \ 1,z). [para(28(a,2),4595(a,2,1))]. given #4434 (H,wt=21): 4736 L(K(x \ 1,x) * y,z,u) = L(y,z,u) * K(x \ 1,x). [hyper(236,a,4572,a(flip),b,4709,a(flip)),flip(a)]. given #4435 (H,wt=21): 4737 L(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * L(y,z,u). [hyper(236,a,2516,a,b,4736,a)]. given #4436 (H,wt=21): 4738 L(x * K(y \ 1,y),z,u) = L(x,z,u) * K(y \ 1,y). [para(2516(a,1),4736(a,1,1))]. given #4437 (H,wt=21): 4741 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = L(y,z,u). [para(2839(a,1),4737(a,1,1)),flip(a)]. given #4438 (H,wt=17): 4745 (x \ L(x * (y / x),z,u)) * x = L(y,z,u). [hyper(236,a,3364,a(flip),b,4741,a(flip)),flip(a)]. given #4439 (H,wt=17): 4746 x \ L(x * (y / x),z,u) = L(y,z,u) / x. [hyper(74,a,4741,a(flip),b,3364,a(flip)),flip(a)]. given #4440 (H,wt=17): 4748 (x \ L(x * y,z,u)) * x = L(y * x,z,u). [para(15(a,1),4745(a,1,1,2,1,2))]. given #4441 (H,wt=17): 4749 L(x * (y / x),z,u) = x * (L(y,z,u) / x). [para(4745(a,1),61(a,1,2,1)),flip(a)]. given #4442 (H,wt=17): 4750 L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x. [para(61(a,1),4745(a,1,1,2,1)),flip(a)]. given #4443 (H,wt=17): 4751 L(T(x,y),z,u) / x = x \ L(T(x,y),z,u). [para(3191(a,1),4746(a,1,2,1)),flip(a)]. given #4444 (H,wt=21): 4743 L(x * K(y,y \ 1),z,u) = K(y,y \ 1) * L(x,z,u). [hyper(2863,a,4741,a),flip(a)]. given #4445 (H,wt=19): 4755 K(x,x \ 1) * L(x,y,z) = L(T(x,x \ 1),y,z). [para(1821(a,1),4743(a,1,1)),flip(a)]. given #4446 (H,wt=19): 4757 x * (L(x,y,z) * (1 / x)) = L(T(x,x \ 1),y,z). [hyper(236,a,1845,a(flip),b,4755,a(flip)),flip(a)]. given #4447 (H,wt=19): 4759 x * (L(x,y,z) * (1 / x)) = L((x \ 1) \ 1,y,z). [para(120(a,1),4757(a,2,1))]. given #4448 (H,wt=19): 4760 x \ L((x \ 1) \ 1,y,z) = L(x,y,z) * (1 / x). [hyper(80,a,4759,a)]. given #4449 (H,wt=19): 4762 T(L(x,y,z) * (1 / x),x) = L(x,y,z) * (1 / x). [hyper(236,a,1828,a,b,4760,a(flip)),flip(a)]. given #4450 (H,wt=13): 4763 (x \ L(x,y,z)) * x = L(x,y,z). [hyper(2260,a,4762,a)]. given #4451 (H,wt=13): 4765 L(x,y,z) / x = x \ L(x,y,z). [hyper(87,a,4763,a)]. given #4452 (H,wt=13): 4766 (x \ L(x,y,z)) \ L(x,y,z) = x. [hyper(80,a,4763,a)]. given #4453 (H,wt=15): 4764 T(x \ L(x,y,z),x) = x \ L(x,y,z). [hyper(394,a,xx,b,4763,a)]. given #4454 (H,wt=15): 4767 (1 / x) * L(x,y,z) = x \ L(x,y,z). [hyper(1677,a,4765,a)]. given #4455 (H,wt=12): 4771 T(1 / x,L(x,y,z)) = x \ 1. [hyper(168,a,4767,a,b,1207,a)]. given #4456 (H,wt=16): 4768 (x \ L(x,y,z)) * x != u | L(x,y,z) = u. [para(4765(a,1),221(a,1,1)),flip(b)]. given #4457 (H,wt=20): 4770 T(x \ ((y * (1 / x)) \ y),x) = x \ L(x,x \ 1,y). [para(2767(a,1),4764(a,1,1,2))]. given #4458 (H,wt=21): 4744 L(x * K(y,y \ 1),z,u) = L(x,z,u) * K(y,y \ 1). [hyper(2853,a,4741,a),flip(a)]. given #4459 (H,wt=19): 4774 L(x \ 1,y,z) * K(x,x \ 1) = L(1 / x,y,z). [para(1833(a,1),4744(a,1,1)),flip(a)]. given #4460 (H,wt=21): 4769 T(x,y) * (x \ L(x,z,u)) = (x \ L(x,z,u)) * T(x,y). [para(4766(a,1),407(a,1,2,1)),flip(a)]. given #4461 (H,wt=21): 4776 L(x \ 1,y,z) \ K(x \ 1,x) = L(1 / x,y,z) \ 1. [para(4774(a,1),3646(a,1,1)),flip(a)]. given #4462 (H,wt=21): 4777 L(1 / x,y,z) \ (1 / x) = L(x \ 1,y,z) \ (x \ 1). [para(4774(a,1),3647(a,1,1))]. given #4463 (H,wt=21): 4781 (x \ 1) * (L(x \ 1,y,z) \ x) = L(1 / x,y,z) \ 1. [hyper(236,a,1233,a(flip),b,4776,a(flip)),flip(a)]. given #4464 (H,wt=22): 4752 (x * y) * ((z \ L(u,y,x)) * z) = x * (y * ((z \ u) * z)). [para(4750(a,1),103(a,1,2))]. given #4465 (H,wt=22): 4753 L((x \ ((y \ 1) \ z)) * x,y \ 1,y) = (x \ (y * z)) * x. [para(451(a,1),4750(a,2,1,2))]. given #4466 (H,wt=22): 4758 L(T(x,x \ 1),y,z) != u * L(x,y,z) | K(x,x \ 1) = u. [para(4755(a,1),20(a,1))]. given #4467 (H,wt=22): 4761 x \ L((x \ 1) \ 1,y,z) != u | L(x,y,z) * (1 / x) = u. [para(4759(a,1),283(a,1,2)),flip(b)]. given #4468 (H,wt=23): 4772 x \ L(x,y,z) != L(x,y,z) * u | T(1 / x,L(x,y,z)) = u. [para(4767(a,1),169(a,2)),flip(a)]. given #4469 (H,wt=23): 4785 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = x \ ((y \ (x * z)) * y). [hyper(72,a,4753,a(flip),b,188,a),flip(a)]. given #4470 (H,wt=19): 4787 ((x \ (y * z)) * x) / z = z \ ((x \ (z * y)) * x). [hyper(236,a,4719,a(flip),b,4785,a(flip)),flip(a)]. given #4471 (H,wt=19): 4788 (x \ ((y \ (x * z)) * y)) * x = (y \ (z * x)) * y. [para(4787(a,1),16(a,1,1))]. given #4472 (H,wt=22): 4789 (x \ ((y \ (x * z)) * y)) * x != u | (y \ (z * x)) * y = u. [para(4787(a,1),221(a,1,1)),flip(b)]. given #4473 (H,wt=22): 4790 (x \ (y * z)) * x != u * z | z \ ((x \ (z * y)) * x) = u. [para(4788(a,1),20(a,1))]. given #4474 (H,wt=22): 4791 (x \ ((y \ (x * z)) * y)) * x != u * y | y \ (z * x) = u. [para(4788(a,2),20(a,1))]. given #4475 (H,wt=24): 4742 L(x * K(y \ 1,y),z,u) != L(x,z,u) * w | K(y \ 1,y) = w. [para(4738(a,2),19(a,1))]. given #4476 (H,wt=24): 4754 L((x \ ((y \ z) \ u)) * x,y \ z,y) = (x \ (z \ (y * u))) * x. [para(450(a,1),4750(a,2,1,2))]. given #4477 (H,wt=19): 4792 (x \ (1 \ (y * 1))) * x = y * (x \ (y / (y / x))). [hyper(236,a,4732,a(flip),b,4754,a(flip))]. given #4478 (H,wt=17): 4793 x * (y \ (x / (x / y))) = (y \ (1 \ x)) * y. [para(12(a,1),4792(a,1,1,2,2)),flip(a)]. given #4479 (H,wt=15): 4794 x * (y \ (x / (x / y))) = (y \ x) * y. [para(50(a,1),4793(a,2,1,2))]. given #4480 (H,wt=13): 4795 x \ (y / (y / x)) = K(x \ y,x). [hyper(17,a,249,a,b,4794,a)]. given #4481 (H,wt=13): 4797 ((x \ y) * x) / y = K(x \ y,x). [hyper(236,a,4730,a,b,4795,a(flip)),flip(a)]. given #4482 (H,wt=13): 4799 x / (x / y) = y * K(y \ x,y). [para(4795(a,1),14(a,1,2)),flip(a)]. given #4483 (H,wt=13): 4804 K(x \ y,x) * y = (x \ y) * x. [para(4797(a,1),16(a,1,1))]. given #4484 (H,wt=9): 4811 T(x,K(y \ x,y)) = x. [hyper(422,a,4804,a)]. given #4485 (H,wt=11): 4814 T(x * y,K(y,x)) = x * y. [para(13(a,1),4811(a,1,2,1))]. given #4486 (H,wt=11): 4815 K(x,y) \ (x * y) = y * x. [hyper(377,a,4814,a)]. given #4487 (H,wt=11): 4816 K(x,y) = (x * y) / (y * x). [para(4814(a,1),255(a,1,2)),flip(a)]. given #4488 (H,wt=9): 4821 K(x,y) = T(y,x) \ y. [hyper(236,a,4060,a(flip),b,4816,a)]. given #4489 (H,wt=8): 4849 R(x,K(x,y),z) = x. [para(4821(a,2),3927(a,1,2))]. given #4490 (H,wt=9): 4826 K(x,y) = y / T(y,x). [hyper(236,a,3127,a,b,4821,a)]. given #4491 (H,wt=9): 4829 K(x,y) = x \ T(x,y). [hyper(236,a,4097,a(flip),b,4821,a)]. given #4492 (H,wt=8): 4904 L(x,K(y,z),y) = x. [para(4829(a,2),3869(a,1,2))]. given #4493 (H,wt=9): 4836 T(x,y) * K(y,x) = x. [para(4821(a,2),14(a,1,2))]. given #4494 (H,wt=9): 4840 T(x,y) = x / K(y,x). [para(4821(a,2),62(a,1,2)),flip(a)]. given #4495 (H,wt=9): 4845 K(x,y) * T(y,x) = y. [para(4821(a,2),3129(a,1,1))]. given #4496 (H,wt=9): 4846 T(x,y) = K(y,x) \ x. [para(4821(a,2),3130(a,1,1)),flip(a)]. given #4497 (H,wt=9): 4853 T(x * K(y,x),y) = x. [para(4821(a,2),4127(a,1,1,2))]. given #4498 (H,wt=9): 4880 K(x,y) = T(x,y) / x. [hyper(236,a,3193,a,b,4829,a)]. given #4499 (H,wt=9): 4887 T(x,y) = x * K(x,y). [para(4829(a,2),14(a,1,2)),flip(a)]. given #4500 (H,wt=9): 4897 T(x,y) = K(x,y) * x. [para(4829(a,2),3194(a,1,1)),flip(a)]. given #4501 (H,wt=9): 4943 T(K(x,y) * y,x) = y. [para(3138(a,2),4853(a,1,1))]. given #4502 (H,wt=11): 4817 K(x,y) * (y * x) = x * y. [para(4815(a,1),14(a,1,2))]. given #4503 (H,wt=11): 4824 K(x,y) = ((y * x) / y) \ x. [hyper(236,a,3987,a,b,4821,a)]. given #4504 (H,wt=11): 4827 K(x,y) = (1 / T(y,x)) * y. [hyper(236,a,3124,a,b,4821,a)]. given #4505 (H,wt=11): 4828 K(x,y) = y * (T(y,x) \ 1). [hyper(236,a,1004,a,b,4821,a)]. given #4506 (H,wt=11): 4831 K(T(x,y),y) = x \ T(x,y). [hyper(236,a,3879,a(flip),b,4821,a)]. given #4507 (H,wt=9): 4988 K(T(x,y),y) = K(x,y). [hyper(236,a,4829,a,b,4831,a)]. given #4508 (H,wt=9): 4993 K(x,T(y,x)) = K(x,y). [hyper(3969,a,4988,a),flip(a)]. given #4509 (H,wt=11): 4832 K(x,y) / y = 1 / T(y,x). [hyper(74,a,4821,a,b,3124,a)]. given #4510 (H,wt=11): 4833 T(x,y) \ 1 = x \ K(y,x). [hyper(72,a,4821,a,b,1004,a),flip(a)]. given #4511 (H,wt=11): 4847 T(x,y) = (K(y,x) / x) \ 1. [para(4821(a,2),3125(a,1,1,1)),flip(a)]. given #4512 (H,wt=11): 4851 K(x,y) * ((y * x) / y) = x. [para(4821(a,2),3990(a,1,1))]. given #4513 (H,wt=11): 4854 (x * y) / x = y * K(x,y). [para(4821(a,2),4100(a,2,2))]. given #4514 (H,wt=11): 4869 x \ T(x,y) = T(K(x,y),x). [hyper(3783,a,4829,a),flip(a)]. given #4515 (H,wt=11): 4875 K(x,y) = ((x * y) / x) / y. [hyper(236,a,3747,a,b,4829,a)]. given #4516 (H,wt=11): 4877 K(x,y) = y \ ((x * y) / x). [hyper(236,a,3743,a,b,4829,a)]. given #4517 (H,wt=11): 4879 K(x,y) = (1 / x) * T(x,y). [hyper(236,a,3196,a,b,4829,a)]. given #4518 (H,wt=11): 4881 K(x,y) = T(x,y) * (x \ 1). [hyper(236,a,930,a,b,4829,a)]. given #4519 (H,wt=11): 4885 K(x,y) / T(x,y) = 1 / x. [hyper(74,a,4829,a,b,3196,a)]. given #4520 (H,wt=11): 4900 (x * K(y,x)) * y = y * x. [para(4829(a,2),3737(a,1,1,2))]. given #4521 (H,wt=11): 4901 T(x,y) * K(y,T(x,y)) = x. [para(4829(a,2),3740(a,1,2))]. given #4522 (H,wt=11): 4902 (x * y) / x = K(x,y) * y. [para(4829(a,2),3748(a,1,1)),flip(a)]. given #4523 (H,wt=11): 4934 (x * K(y,x)) \ (y * x) = y. [para(4853(a,1),164(a,1,2,2))]. given #4524 (H,wt=11): 4945 T(x,y * K(x,y)) = T(x,y). [para(4853(a,1),4104(a,1,2)),flip(a)]. given #4525 (H,wt=11): 4971 x * (K(y,x) * y) = y * x. [para(4897(a,1),119(a,1,2))]. given #4526 (H,wt=11): 4994 K(x,y / x) = K(x,x \ y). [hyper(236,a,3949,a(flip),b,4988,a(flip)),flip(a)]. given #4527 (H,wt=11): 4995 K(x,(x * y) / x) = K(x,y). [hyper(236,a,3948,a(flip),b,4988,a(flip)),flip(a)]. given #4528 (H,wt=11): 4996 K(x \ (y * x),x) = K(y,x). [para(32(a,1),4988(a,1,1))]. given #4529 (H,wt=11): 4997 K(x / y,y) = K(y \ x,y). [para(121(a,1),4988(a,1,1)),flip(a)]. given #4530 (H,wt=11): 5003 K(x * K(y,x),y) = K(x,y). [para(4853(a,1),4988(a,1,1)),flip(a)]. given #4531 (H,wt=11): 5004 K(x,x \ (y * x)) = K(x,y). [para(32(a,1),4993(a,1,2))]. given #4532 (H,wt=11): 5008 K(x,y * K(x,y)) = K(x,y). [para(4853(a,1),4993(a,1,2)),flip(a)]. given #4533 (H,wt=11): 5013 T(x,y) = 1 / (x \ K(y,x)). [para(4833(a,1),62(a,1,2)),flip(a)]. given #4534 (H,wt=11): 5019 K(x,y) = x / ((y * x) / y). [hyper(87,a,4851,a),flip(a)]. given #4535 (H,wt=11): 5053 (x * K(y,x)) \ x = K(x,y). [para(4854(a,1),4824(a,2,1)),flip(a)]. given #4536 (H,wt=11): 5090 x / (x * K(y,x)) = K(x,y). [para(4854(a,1),5019(a,2,2)),flip(a)]. given #4537 (H,wt=11): 5091 K(x,y) \ x = x * K(y,x). [para(5090(a,1),65(a,1,1))]. given #4538 (H,wt=9): 5093 K(x,y) \ 1 = K(y,x). [hyper(17,a,3419,a,b,5091,a(flip)),flip(a)]. given #4539 (H,wt=9): 5101 K(x,y) * K(y,x) = 1. [para(5093(a,1),14(a,1,2))]. given #4540 (H,wt=9): 5102 1 / K(x,y) = K(y,x). [para(5093(a,1),62(a,1,2))]. given #4541 (H,wt=11): 5098 K(T(x,y),y) = K(y,x) \ 1. [hyper(236,a,4988,a,b,5093,a),flip(a)]. given #4542 (H,wt=11): 5100 K(T(x,y),y) \ 1 = K(y,x). [hyper(236,a,4993,a(flip),b,5093,a)]. given #4543 (H,wt=11): 5103 x * (K(y,z) * K(z,y)) = x. [para(5093(a,1),56(a,1,2,2))]. given #4544 (H,wt=11): 5117 K(T(x,y),y) * K(y,x) = 1. [para(4988(a,2),5101(a,1,1))]. given #4545 (H,wt=12): 4841 x / K(y,x) != z | T(x,y) = z. [para(4821(a,2),294(a,1,2)),flip(b)]. given #4546 (H,wt=12): 4855 K(x,y) != z | x \ T(x,y) = z. [para(4821(a,2),4105(a,1))]. given #4547 (H,wt=12): 4864 K(x,y) \ y != z | T(y,x) = z. [para(4826(a,2),282(a,1,1)),flip(b)]. given #4548 (H,wt=12): 4890 x * K(x,y) != z | T(x,y) = z. [para(4829(a,2),216(a,1,2)),flip(b)]. given #4549 (H,wt=12): 4898 K(x,y) * x != z | T(x,y) = z. [para(4829(a,2),3199(a,1,1))]. given #4550 (H,wt=12): 4920 T(x,y) \ x != z | K(y,x) = z. [para(4836(a,1),283(a,1,2)),flip(b)]. given #4551 (H,wt=12): 4928 x / T(x,y) != z | K(y,x) = z. [para(4845(a,1),296(a,1,1)),flip(b)]. given #4552 (H,wt=12): 4954 T(x,y) != x * z | K(x,y) = z. [para(4887(a,2),19(a,1))]. given #4553 (H,wt=12): 4956 x \ T(x,y) != z | K(x,y) = z. [para(4887(a,2),283(a,1,2)),flip(b)]. given #4554 (H,wt=12): 4970 T(x,y) != z * x | K(x,y) = z. [para(4897(a,2),20(a,1))]. given #4555 (H,wt=12): 4972 T(x,y) / x != z | K(x,y) = z. [para(4897(a,2),296(a,1,1)),flip(b)]. given #4556 (H,wt=12): 4981 T(x,y) != z | x * K(x,y) = z. [para(4897(a,2),3254(a,1))]. given #4557 (H,wt=12): 5001 K(x,T(y,x)) != z | K(x,y) = z. [para(4988(a,1),3969(a,1))]. given #4558 (H,wt=12): 5029 T(x * K(y,x),y) != z | z = x. [para(4854(a,1),287(a,1,1))]. given #4559 (H,wt=12): 5104 x * K(y,z) != 1 | K(z,y) = x. [para(5093(a,1),86(a,1,2)),flip(b)]. given #4560 (H,wt=12): 5105 K(x,y) * K(y,x) != z | 1 = z. [para(5093(a,1),216(a,1,2)),flip(b)]. given #4561 (H,wt=12): 5106 1 / K(x,y) != z | K(y,x) = z. [para(5093(a,1),294(a,1,2)),flip(b)]. given #4562 (H,wt=12): 5115 K(x,y) * z != 1 | K(y,x) = z. [para(5101(a,1),19(a,1)),flip(a)]. given #4563 (H,wt=12): 5116 K(x,y) \ 1 != z | K(y,x) = z. [para(5101(a,1),283(a,1,2)),flip(b)]. given #4564 (H,wt=12): 5134 T(K(x,y),x) != z | K(x,y) = z. [para(4869(a,1),4956(a,1))]. given #4565 (H,wt=13): 4807 (x * K(x \ y,x)) * (y / x) = y. [para(4799(a,1),16(a,1,1))]. given #4566 (H,wt=13): 4818 K(x,x \ y) \ y = (x \ y) * x. [para(14(a,1),4815(a,1,2))]. given #4567 (H,wt=13): 4822 K(x,x \ y) * ((x \ y) * x) = y. [para(4816(a,2),67(a,1,1))]. given #4568 (H,wt=13): 4823 K(x \ (x / y),x) = K(y \ 1,x). [hyper(236,a,4092,a,b,4821,a),flip(a)]. given #4569 (H,wt=13): 4830 x * T(x \ 1,y) = K(x \ 1,y). [hyper(236,a,4091,a(flip),b,4821,a),flip(a)]. given #4570 (H,wt=13): 4834 x \ K(x \ 1,y) = T(x \ 1,y). [hyper(72,a,4821,a,b,4091,a(flip))]. given #4571 (H,wt=13): 4842 ((x \ y) \ y) * K(x \ y,x) = x. [para(4821(a,2),311(a,1,2))]. given #4572 (H,wt=13): 4844 (x \ 1) * K(y,x) = T(x,y) \ 1. [para(4821(a,2),2584(a,1,2))]. given #4573 (H,wt=13): 4848 (1 / x) * K(y,x) = 1 / T(x,y). [para(4821(a,2),3123(a,1,2))]. given #4574 (H,wt=13): 4856 x * (K(x,y) * z) = T(x,y) * z. [para(4821(a,2),4101(a,1,2,1))]. given #4575 (H,wt=13): 4857 T(x,y) * (x \ z) = K(x,y) * z. [para(4821(a,2),4102(a,2,1))]. given #4576 (H,wt=13): 4859 x * (T(x,y) \ z) = K(y,x) * z. [para(4821(a,2),4374(a,1,1)),flip(a)]. given #4577 (H,wt=13): 4860 K(x,y) * (T(y,x) * z) = y * z. [para(4821(a,2),4375(a,1,1))]. given #4578 (H,wt=13): 4861 T(x,y) * (x \ y) = y * K(x,y). [para(4821(a,2),4382(a,2,2))]. given #4579 (H,wt=13): 4871 (T(x,y) * z) / (x * z) = K(x,y). [hyper(236,a,3931,a,b,4829,a),flip(a)]. given #4580 (H,wt=13): 4874 K(x,y) = ((x * y) / x) * (y \ 1). [hyper(236,a,3750,a,b,4829,a)]. given #4581 (H,wt=13): 4883 x * T(x \ 1,y) = K(1 / x,y). [hyper(236,a,713,a(flip),b,4829,a),flip(a)]. given #4582 (H,wt=13): 4886 ((x * y) / x) \ K(x,y) = y \ 1. [hyper(72,a,4829,a,b,3750,a)]. given #4583 (H,wt=13): 4896 x \ T(x,y \ 1) = K(x,1 / y). [para(3019(a,1),4829(a,2,2)),flip(a)]. given #4584 (H,wt=11): 5223 K(x,1 / y) = K(x,y \ 1). [hyper(4956,a,4896,a),flip(a)]. given #4585 (H,wt=11): 5233 K(x,(y \ 1) \ 1) = K(x,y). [para(62(a,1),5223(a,1,2)),flip(a)]. given #4586 (H,wt=11): 5234 K(x,1 / (1 / y)) = K(x,y). [para(65(a,1),5223(a,2,2))]. given #4587 (H,wt=11): 5238 K(x,T(y,1 / y)) = K(x,y). [para(1756(a,2),5233(a,1,2))]. given #4588 (H,wt=13): 4903 (x \ y) * K(x,x \ y) = y / x. [para(4829(a,2),3739(a,1,2))]. given #4589 (H,wt=13): 4906 K(x,y) * (x * z) = T(x,y) * z. [para(4829(a,2),3873(a,1,1))]. given #4590 (H,wt=13): 4907 x * (T(x,y) \ z) = K(x,y) \ z. [para(4829(a,2),3881(a,1,1)),flip(a)]. given #4591 (H,wt=11): 5260 K(x,y) \ z = K(y,x) * z. [hyper(236,a,4859,a(flip),b,4907,a(flip))]. given #4592 (H,wt=11): 5261 (K(x,y) \ z) / z = K(y,x). [hyper(74,a,4907,a(flip),b,4859,a(flip))]. given #4593 (H,wt=11): 5266 x / (K(y,z) * x) = K(z,y). [hyper(428,a,5260,a)]. given #4594 (H,wt=11): 5268 K(x,y) * (K(y,x) * z) = z. [hyper(306,a,5260,a),flip(a)]. given #4595 (H,wt=12): 5284 K(x,y) != z | K(y,x) \ 1 = z. [para(5261(a,1),224(a,1)),flip(b)]. given #4596 (H,wt=13): 4908 K(x,y) \ (T(x,y) * z) = x * z. [para(4829(a,2),3932(a,1,1))]. given #4597 (H,wt=13): 4909 K(x,x \ y) * y = x * (y / x). [para(4829(a,2),3938(a,1,1))]. given #4598 (H,wt=13): 4919 (x \ y) * K(x,y / x) = y / x. [para(121(a,1),4836(a,1,1))]. given #4599 (H,wt=13): 4923 ((x \ y) \ y) * K(y / x,x) = x. [para(4149(a,1),4836(a,1,1))]. given #4600 (H,wt=13): 4924 x * (y * K(x,y)) = T(x,y) * y. [para(4836(a,1),4389(a,1,2)),flip(a)]. given #4601 (H,wt=13): 4927 K(x,y / x) * (x \ y) = y / x. [para(121(a,1),4845(a,1,2))]. given #4602 (H,wt=13): 4930 T(x,(y \ x) \ 1) = T(x,x \ y). [hyper(236,a,4180,a,b,4846,a),flip(a)]. given #4603 (H,wt=13): 4931 T(x,x \ (x / y)) = T(x,y \ 1). [hyper(236,a,4096,a(flip),b,4846,a)]. given #4604 (H,wt=13): 4933 T(T(x * K(y,x),z),y) = T(x,z). [para(4853(a,1),38(a,1,1)),flip(a)]. given #4605 (H,wt=13): 4944 T(x \ K(y,x \ 1),y) = x \ 1. [para(3170(a,1),4853(a,1,1))]. given #4606 (H,wt=13): 4952 x * K(x,y \ x) = T(x,x / y). [hyper(236,a,3892,a,b,4887,a(flip))]. given #4607 (H,wt=11): 5304 K(x,x / y) = K(x,y \ x). [hyper(17,a,4887,a(flip),b,4952,a),flip(a)]. given #4608 (H,wt=11): 5305 K(x,(y \ x) \ x) = K(x,y). [para(62(a,1),5304(a,1,2)),flip(a)]. given #4609 (H,wt=11): 5306 K(x,x / (x / y)) = K(x,y). [para(65(a,1),5304(a,2,2))]. given #4610 (H,wt=11): 5307 K(x,T(y,y \ x)) = K(x,y). [para(120(a,2),5305(a,1,2))]. given #4611 (H,wt=13): 4968 K(x / y,y) * (x / y) = y \ x. [hyper(280,a,4897,a),flip(a)]. given #4612 (H,wt=13): 4983 K(x,y) = x * (((y * x) / y) \ 1). [hyper(236,a,1268,a,b,4824,a)]. given #4613 (H,wt=13): 4984 ((x * y) / x) \ 1 = y \ K(y,x). [hyper(72,a,4824,a,b,1268,a),flip(a)]. given #4614 (H,wt=13): 4990 T(x,y) \ K(T(x,y),y) = x \ 1. [hyper(72,a,4831,a,b,930,a)]. given #4615 (H,wt=13): 5020 K(x \ y,x) * (y / x) = x \ y. [para(14(a,1),4851(a,1,2,1))]. given #4616 (H,wt=12): 5314 K(x \ L(T(x,y),z,u),x) = 1. [hyper(73,a,4751,a,b,5020,a),flip(a)]. given #4617 (H,wt=13): 5026 x / (x / y) = y * K(x / y,y). [hyper(379,a,4854,a)]. given #4618 (H,wt=13): 5049 K(x,y) = (1 / y) * ((x * y) / x). [para(4854(a,2),3168(a,1,2)),flip(a)]. given #4619 (H,wt=13): 5057 (x \ y) \ (y / x) = K(x,x \ y). [para(14(a,1),4877(a,2,2,1)),flip(a)]. given #4620 (H,wt=13): 5064 K(1 / x,y) / x = T(1 / x,y). [hyper(312,a,4881,a(flip))]. given #4621 (H,wt=13): 5073 K(x,x \ y) * (x \ y) = y / x. [para(14(a,1),4902(a,1,1)),flip(a)]. given #4622 (H,wt=13): 5077 x \ (y * (x / y)) = K(y,y \ x). [hyper(236,a,98,a,b,4994,a(flip)),flip(a)]. given #4623 (H,wt=13): 5078 K(x,x \ (y \ x)) = K(x,y \ 1). [hyper(236,a,4412,a(flip),b,4994,a(flip))]. given #4624 (H,wt=13): 5079 x * K(y,y \ x) = y * (x / y). [para(4994(a,1),250(a,1,2))]. given #4625 (H,wt=9): 5328 T(x,K(y,y \ x)) = x. [hyper(168,a,5079,a,b,4909,a)]. given #4626 (H,wt=13): 5080 (x * (y / x)) \ y = K(x \ y,x). [hyper(236,a,99,a,b,4997,a(flip)),flip(a)]. given #4627 (H,wt=13): 5081 x * K(x / y,y) = (y \ x) * y. [para(4997(a,2),249(a,1,2))]. given #4628 (H,wt=13): 5087 K(x,y) / x = 1 / ((y * x) / y). [hyper(74,a,5019,a,b,1323,a)]. given #4629 (H,wt=13): 5095 K(x,x \ y) \ 1 = K(y / x,x). [hyper(236,a,4997,a,b,5093,a)]. given #4630 (H,wt=13): 5096 K(x,(x * y) / x) = K(y,x) \ 1. [hyper(236,a,4995,a,b,5093,a),flip(a)]. given #4631 (H,wt=13): 5097 K(x \ y,x) \ 1 = K(x,y / x). [hyper(236,a,4994,a,b,5093,a)]. given #4632 (H,wt=13): 5113 (x * K(y,x)) \ 1 = x \ K(x,y). [para(5093(a,1),3487(a,2,2))]. given #4633 (H,wt=13): 5156 T(1 / x,y) * x = K(x \ 1,y). [hyper(409,a,4830,a)]. given #4634 (H,wt=13): 5171 (x \ 1) * K(y,x) = x \ K(y,x). [hyper(236,a,4833,a(flip),b,4844,a)]. given #4635 (H,wt=13): 5173 K(x,y) * (1 / y) = 1 / T(y,x). [hyper(236,a,2230,a,b,4848,a(flip)),flip(a)]. given #4636 (H,wt=13): 5174 K(x,y) \ (x \ z) = T(x,y) \ z. [hyper(546,a,4856,a),flip(a)]. given #4637 (H,wt=13): 5175 x \ (T(x,y) * z) = K(x,y) * z. [hyper(80,a,4856,a)]. given #4638 (H,wt=13): 5178 K(x,y) * (T(x,y) \ z) = x \ z. [hyper(72,a,14,a(flip),b,4856,a),flip(a)]. given #4639 (H,wt=13): 5187 (x * y) / (T(x,z) * y) = K(z,x). [hyper(4392,a,4857,a)]. given #4640 (H,wt=13): 5188 K(x,y) \ (y * z) = T(y,x) * z. [hyper(4391,a,4857,a)]. given #4641 (H,wt=13): 5189 (x \ y) / (T(x,z) \ y) = K(x,z). [hyper(1025,a,4857,a)]. given #4642 (H,wt=13): 5191 T(x,y) \ (K(x,y) * z) = x \ z. [hyper(80,a,4857,a)]. given #4643 (H,wt=13): 5196 x \ (K(y,x) * z) = T(x,y) \ z. [hyper(72,a,4857,a(flip),b,4382,a(flip))]. given #4644 (H,wt=13): 5203 T(x,y) \ (x * z) = K(y,x) * z. [hyper(1033,a,4859,a)]. given #4645 (H,wt=13): 5204 K(x,y) * (y \ z) = T(y,x) \ z. [hyper(1023,a,4859,a),flip(a)]. given #4646 (H,wt=13): 5207 T(x,y) * (K(y,x) * z) = x * z. [para(4859(a,1),1002(a,1,2))]. given #4647 (H,wt=13): 5215 x \ (T(x,y) * y) = y * K(x,y). [hyper(1030,a,4861,a)]. given #4648 (H,wt=13): 5224 K(x,(x / y) / x) = K(x,1 / y). [hyper(3791,a,4896,a)]. given #4649 (H,wt=13): 5237 K(K(x \ 1,x) * y,x) = K(y,x). [hyper(3387,a,5233,a),flip(a)]. given #4650 (H,wt=13): 5259 x \ (K(y,z) \ x) = T(K(z,y),x). [hyper(394,a,4907,a(flip),b,4859,a(flip)),flip(a)]. given #4651 (H,wt=13): 5262 (x \ 1) / (x \ K(x,y)) = K(y,x). [hyper(4038,a,5260,a)]. given #4652 (H,wt=13): 5263 K(x,y) * (y \ K(y,x)) = y \ 1. [hyper(4037,a,5260,a),flip(a)]. given #4653 (H,wt=13): 5282 (K(x,y) \ 1) * z = K(x,y) \ z. [para(5093(a,2),5260(a,2,1)),flip(a)]. given #4654 (H,wt=13): 5298 K(x \ y,x) * (x * (y / x)) = y. [hyper(17,a,5268,a,b,4909,a),flip(a)]. given #4655 (H,wt=13): 5308 K(x * y,T(x,y)) = K(x * y,x). [para(13(a,1),5307(a,1,2,2))]. given #4656 (H,wt=13): 5311 T(x,x \ K(x,y)) = (x \ 1) \ 1. [para(4984(a,1),2569(a,1,2))]. given #4657 (H,wt=13): 5326 K(x,(x / y) \ 1) = K(x,x \ y). [para(65(a,1),5078(a,1,2,2)),flip(a)]. given #4658 (H,wt=13): 5334 1 / (x * K(y,x)) = K(x,y) / x. [para(4854(a,1),5087(a,2,2)),flip(a)]. given #4659 (H,wt=13): 5340 K(x,y) \ (T(y,x) \ z) = y \ z. [hyper(72,a,5174,a(flip),b,5260,a(flip))]. given #4660 (H,wt=13): 5354 (x * y) / (K(z,x) * y) = T(x,z). [para(5203(a,1),62(a,1,2))]. given #4661 (H,wt=13): 5368 K(x,y) * (x / y) = x / T(y,x). [hyper(4322,a,5207,a),flip(a)]. given #4662 (H,wt=13): 5371 K(x,1 / (y \ x)) = K(x,y / x). [para(62(a,1),5224(a,1,2,1)),flip(a)]. given #4663 (H,wt=13): 5378 (K(x,y) \ 1) \ (K(x,y) \ z) = z. [hyper(80,a,5282,a)]. given #4664 (H,wt=13): 5379 x * (K(y,x) \ 1) = K(y,x) \ x. [hyper(236,a,3339,a(flip),b,5282,a(flip)),flip(a)]. given #4665 (H,wt=13): 5382 (K(x,y) / x) \ 1 = x * K(y,x). [para(5334(a,1),65(a,1,1))]. given #4666 (H,wt=13): 5387 x * (K(y,x) \ 1) = x / K(y,x). [hyper(236,a,3278,a,b,5379,a)]. given #4667 (H,wt=14): 4819 x * (y * z) != z * y | K(z,y) = x. [para(4815(a,1),86(a,1,2)),flip(b)]. given #4668 (H,wt=14): 4820 K(x,y) * (y * x) != z | x * y = z. [para(4815(a,1),216(a,1,2)),flip(b)]. given #4669 (H,wt=14): 4935 x * y != z * x | y * K(x,y) = z. [para(4853(a,1),172(a,1,2)),flip(b)]. given #4670 (H,wt=14): 4965 K(x,L(x,y,z) \ 1) = K(x,x \ 1). [hyper(4697,a,4897,a),flip(a)]. given #4671 (H,wt=14): 5009 (K(x,y) / y) \ 1 != z | T(y,x) = z. [para(4832(a,2),282(a,1,1)),flip(b)]. given #4672 (H,wt=14): 5014 1 / (x \ K(y,x)) != z | T(x,y) = z. [para(4833(a,1),294(a,1,2)),flip(b)]. given #4673 (H,wt=14): 5030 T(x,y) * K(y,T(x,y)) != z | z = x. [para(4854(a,1),300(a,1))]. given #4674 (H,wt=14): 5037 T(x * K(y * x,x),y) = R(x,y,x). [para(4854(a,1),746(a,2,1)),flip(a)]. given #4675 (H,wt=14): 5050 T(x * K(y,x),y * x) = L(x,y,x). [para(4854(a,1),4254(a,1,1))]. given #4676 (H,wt=14): 5058 x * K(y,x) != z | (y * x) / y = z. [para(4877(a,2),216(a,1,2)),flip(b)]. given #4677 (H,wt=14): 5086 T(x,y) \ 1 != z | x \ K(y,x) = z. [para(5013(a,2),282(a,1,1)),flip(b)]. given #4678 (H,wt=14): 5107 x * (K(y,z) * K(z,y)) != u | u = x. [para(5093(a,1),154(a,1,2,2))]. given #4679 (H,wt=14): 5119 K(T(x,y),y) \ 1 != z | K(y,x) = z. [para(5098(a,1),3969(a,1))]. given #4680 (H,wt=14): 5120 K(T(x,y),y) * z != 1 | K(y,x) = z. [para(5117(a,1),19(a,1)),flip(a)]. given #4681 (H,wt=14): 5127 x \ T(x,y) != z | K(T(x,y),y) = z. [para(3879(a,1),4920(a,1))]. given #4682 (H,wt=14): 5139 K(x,x \ (y * x)) != z | K(x,y) = z. [para(32(a,1),5001(a,1,2))]. given #4683 (H,wt=14): 5144 K((x \ 1) \ 1,y) != z | K(x,y) = z. [para(3098(a,1),5134(a,1))]. given #4684 (H,wt=14): 5181 K(x,y) * T(y,y * x) = L(y,x,y). [hyper(17,a,4303,a(flip),b,4856,a)]. given #4685 (H,wt=14): 5182 K(x * y,x) * T(x,y) = R(x,y,x). [hyper(17,a,4228,a(flip),b,4856,a)]. given #4686 (H,wt=14): 5228 K(x,1 / y) != z | K(x,y \ 1) = z. [para(4896(a,1),4956(a,1))]. given #4687 (H,wt=14): 5250 T(x \ y,R(y / x,z,u)) = x \ y. [para(4903(a,1),4446(a,1,2,1))]. given #4688 (H,wt=14): 5270 x * (K(y,z) * u) != u | K(z,y) = x. [para(5260(a,1),86(a,1,2)),flip(b)]. given #4689 (H,wt=14): 5271 K(x,y) * (K(y,x) * z) != u | u = z. [para(5260(a,1),216(a,1,2))]. given #4690 (H,wt=14): 5272 x / (K(y,z) * x) != u | K(z,y) = u. [para(5260(a,1),294(a,1,2)),flip(b)]. given #4691 (H,wt=14): 5283 K(x,y) * z != u | K(y,x) \ z = u. [para(5261(a,1),221(a,1,1)),flip(b)]. given #4692 (H,wt=14): 5285 K(x,y) * z != u | K(y,x) * u = z. [para(5266(a,1),81(a,1,1)),flip(b)]. given #4693 (H,wt=14): 5286 K(x,y) \ z != u | K(y,x) * z = u. [para(5266(a,1),282(a,1,1)),flip(b)]. given #4694 (H,wt=12): 5403 T(x,y) != z | K(x,y) * x = z. [para(4846(a,2),5286(a,1))]. given #4695 (H,wt=14): 5295 K(T(x,y),y) != z | K(y,x) \ 1 = z. [para(4988(a,2),5284(a,1))]. given #4696 (H,wt=14): 5318 K(x \ L((x \ y) \ y,z,u),x) = 1. [para(120(a,1),5314(a,1,1,2,1))]. given #4697 (H,wt=14): 5324 K(x,x \ 1) != y | x * (1 / x) = y. [para(5077(a,1),217(a,1)),flip(b)]. given #4698 (H,wt=14): 5335 K(x / y,y) != z | K(y \ x,y) = z. [para(5095(a,1),5116(a,1))]. given #4699 (H,wt=14): 5336 K(x,y / x) != z | K(x,x \ y) = z. [para(5097(a,1),5116(a,1))]. given #4700 (H,wt=14): 5393 K(x \ 1,y) != z | K(1 / x,y) = z. [para(65(a,1),5144(a,1,1,1))]. given #4701 (H,wt=14): 5395 T(x,x * y) * K(y,x) = L(x,y,x). [hyper(3148,a,5181,a)]. given #4702 (H,wt=14): 5396 T(x,y) * K(x * y,x) = R(x,y,x). [hyper(3148,a,5182,a)]. given #4703 (H,wt=14): 5397 K(x,y) != z | K(x,(y \ 1) \ 1) = z. [para(62(a,1),5228(a,1,2))]. given #4704 (H,wt=15): 4796 (1 / x) * ((y \ x) * y) = K(y \ x,y). [hyper(236,a,4731,a,b,4795,a(flip)),flip(a)]. given #4705 (H,wt=15): 4803 ((x \ y) * x) * (y \ 1) = K(x \ y,x). [hyper(236,a,4685,a,b,4797,a(flip)),flip(a)]. given #4706 (H,wt=15): 4825 (x * T(x \ 1,y)) \ 1 = K(y,x \ 1). [hyper(236,a,3236,a,b,4821,a),flip(a)]. given #4707 (H,wt=15): 4835 K(x,y) = (T(y,x) \ 1) * T(y,y \ 1). [hyper(2559,a,4821,a(flip)),flip(a)]. given #4708 (H,wt=15): 4837 T(T(x,y),z) \ T(x,z) = K(y,T(x,z)). [para(38(a,1),4821(a,2,1)),flip(a)]. given #4709 (H,wt=15): 4843 K((1 / x) \ y,y) = T(y,y * x) \ y. [para(1579(a,1),4821(a,2,1))]. given #4710 (H,wt=13): 5411 K((1 / x) \ y,y) = K(y * x,y). [hyper(236,a,4821,a,b,4843,a)]. given #4711 (H,wt=13): 5413 K(x * (y \ 1),x) = K(y \ x,x). [para(62(a,1),5411(a,1,1,1)),flip(a)]. given #4712 (H,wt=15): 4852 x * (((y * x) / y) \ z) = K(x,y) * z. [para(4821(a,2),4055(a,2,1))]. given #4713 (H,wt=15): 4858 K(x / y,z) * x = y * T(y \ x,z). [para(4821(a,2),4182(a,1,1))]. given #4714 (H,wt=15): 4866 (1 / (1 / x)) \ K(y,x) = 1 / T(x,y). [para(4826(a,2),2605(a,1,2))]. given #4715 (H,wt=15): 4868 K(x * K(y,y \ 1),z) = z / T(z,x). [para(4487(a,1),4826(a,2,2))]. given #4716 (H,wt=13): 5422 K(x * K(y,y \ 1),z) = K(x,z). [hyper(236,a,4826,a,b,4868,a)]. given #4717 (H,wt=13): 5424 K(x * K(y \ 1,y),z) = K(x,z). [para(1772(a,1),5422(a,1,1,2))]. given #4718 (H,wt=13): 5425 K(K(x,x \ 1) * y,z) = K(y,z). [para(2500(a,2),5422(a,1,1))]. given #4719 (H,wt=13): 5427 K(K(x \ 1,x) * y,z) = K(y,z). [para(2838(a,1),5422(a,1,1)),flip(a)]. given #4720 (H,wt=14): 5441 K(x,(y \ 1) \ 1) != z | K(x,y) = z. [para(5427(a,1),3387(a,1))]. given #4721 (H,wt=14): 5443 K(x,y \ 1) != z | K(x,1 / y) = z. [para(65(a,1),5441(a,1,2,1))]. given #4722 (H,wt=14): 5444 K(x,T(y,y \ 1)) != z | K(x,y) = z. [para(120(a,2),5441(a,1,2))]. given #4723 (H,wt=15): 4870 (x \ 1) \ K(x,y) = T(T(x,y),x \ 1). [hyper(394,a,4829,a,b,930,a),flip(a)]. given #4724 (H,wt=15): 4876 x * ((y * (x \ 1)) / y) = K(y,x \ 1). [hyper(236,a,3746,a,b,4829,a),flip(a)]. given #4725 (H,wt=15): 4878 K(x,y) = (1 / x) * T((1 / x) \ 1,y). [hyper(236,a,3197,a,b,4829,a)]. given #4726 (H,wt=15): 4895 K(x,x * (y \ 1)) = x \ T(x,y \ x). [para(1578(a,1),4829(a,2,2))]. given #4727 (H,wt=15): 4913 K(x,y * K(z,z \ 1)) = x \ T(x,y). [para(4487(a,1),4829(a,2,2))]. given #4728 (H,wt=13): 5466 K(x,y * K(z,z \ 1)) = K(x,y). [hyper(236,a,4829,a,b,4913,a)]. given #4729 (H,wt=13): 5467 K(x,y * K(z,1 / z)) = K(x,y). [para(1767(a,2),5466(a,1,2,2))]. given #4730 (H,wt=13): 5468 K(x,K(y,y \ 1) * z) = K(x,z). [para(2500(a,2),5466(a,1,2))]. given #4731 (H,wt=13): 5471 K(x,K(y \ 1,y) * z) = K(x,z). [para(2838(a,1),5466(a,1,2)),flip(a)]. given #4732 (H,wt=13): 5481 K(x,K(y,1 / y) * z) = K(x,z). [para(2512(a,2),5467(a,1,2))]. given #4733 (H,wt=15): 4936 T(x * K(y,x),z) * y = y * T(x,z). [para(4853(a,1),180(a,1,2,1)),flip(a)]. given #4734 (H,wt=14): 5494 T(x * K(x * y,x),y) = R(x,y,x). [hyper(18,a,4129,a,b,4936,a)]. given #4735 (H,wt=15): 4964 (1 / x) * K(x \ 1,y) = T(1 / x,y). [para(3244(a,1),4887(a,2,2)),flip(a)]. given #4736 (H,wt=15): 4966 K(T(x,y),z) * T(x,y) = T(T(x,z),y). [hyper(417,a,4897,a),flip(a)]. given #4737 (H,wt=15): 4998 K((x \ y) \ y,x \ y) = K(x,x \ y). [para(120(a,1),4988(a,1,1))]. given #4738 (H,wt=15): 5002 K(x / (x / y),y \ x) = K(y,y \ x). [para(4202(a,1),4988(a,1,1)),flip(a)]. given #4739 (H,wt=15): 5005 K(x,L(T(y,x),z,u)) = K(x,L(y,z,u)). [para(40(a,2),4993(a,1,2))]. given #4740 (H,wt=15): 5006 K(x \ y,(x \ y) \ y) = K(x \ y,x). [para(120(a,1),4993(a,1,2))]. given #4741 (H,wt=15): 5007 K(x / y,x / (x / y)) = K(x / y,y). [para(186(a,1),4993(a,1,2)),flip(a)]. given #4742 (H,wt=15): 5012 ((x \ y) \ y) \ 1 = x \ K(x \ y,x). [hyper(236,a,637,a(flip),b,4833,a(flip)),flip(a)]. given #4743 (H,wt=15): 5025 x \ T(x * y,y) = y * K(x * y,y). [hyper(3958,a,4854,a)]. given #4744 (H,wt=15): 5028 x * ((y * z) / y) = x * (z * K(y,z)). [hyper(21,a,4854,a)]. given #4745 (H,wt=15): 5042 (x * K(x * y,x)) * y = T(x * y,x). [para(4854(a,1),1265(a,1,1))]. given #4746 (H,wt=15): 5055 (x \ T(x * y,y)) / y = K(x * y,y). [para(3918(a,1),4875(a,2,1)),flip(a)]. given #4747 (H,wt=15): 5071 (x \ K(y,x \ 1)) * y = y * (x \ 1). [para(3170(a,1),4900(a,1,1))]. given #4748 (H,wt=15): 5179 ((x * y) / x) \ z = K(y,x) * (y \ z). [hyper(17,a,4183,a,b,4856,a),flip(a)]. given #4749 (H,wt=15): 5180 K(x,y) * (z * x) = T(x,y) * T(z,x). [hyper(17,a,999,a,b,4856,a)]. given #4750 (H,wt=15): 5192 x * (K(x,y) * (x \ z)) = K(x,y) * z. [hyper(236,a,4856,a,b,4857,a(flip)),flip(a)]. given #4751 (H,wt=15): 5193 ((x * y) / x) \ (y * z) = K(y,x) * z. [hyper(236,a,4292,a,b,4857,a(flip)),flip(a)]. given #4752 (H,wt=15): 5195 x \ (K(x,y) * z) = K(x,y) * (x \ z). [hyper(72,a,4857,a(flip),b,4856,a)]. given #4753 (H,wt=15): 5201 K(x,y) * T(x,z) = T(x,y) * K(x,z). [para(4829(a,2),4857(a,1,2)),flip(a)]. given #4754 (H,wt=15): 5202 ((x * y) / x) * (y \ z) = K(x,y) * z. [hyper(4397,a,4859,a)]. given #4755 (H,wt=15): 5222 (x / y) \ K(y,y \ x) = (y \ x) \ 1. [para(14(a,1),4886(a,1,1,1))]. given #4756 (H,wt=15): 5226 x * ((y * (x \ 1)) / y) = K(y,1 / x). [hyper(236,a,3746,a,b,4896,a(flip)),flip(a)]. given #4757 (H,wt=15): 5227 x \ K(y,1 / x) = (y * (x \ 1)) / y. [hyper(72,a,4896,a(flip),b,3746,a)]. given #4758 (H,wt=15): 5236 K(((x \ 1) \ 1) \ y,x) = K(x \ y,x). [hyper(3389,a,5233,a),flip(a)]. given #4759 (H,wt=15): 5239 K(x,T(y / z,z / y)) = K(x,y / z). [para(2145(a,2),5233(a,1,2))]. given #4760 (H,wt=15): 5240 K(x,T(1 / y,z)) = K(x,T(y \ 1,z)). [para(2483(a,1),5233(a,1,2)),flip(a)]. given #4761 (H,wt=15): 5241 K(x,T(y / z,y \ z)) = K(x,y / z). [para(2582(a,2),5233(a,1,2))]. given #4762 (H,wt=15): 5267 K(x,y) \ T(z,K(y,x)) = z * K(y,x). [hyper(425,a,5260,a)]. given #4763 (H,wt=15): 5269 K(x,y) * (z * K(y,x)) = T(z,K(y,x)). [hyper(284,a,5260,a),flip(a)]. given #4764 (H,wt=15): 5287 K(x,y) * (T(x,z) * K(y,x)) = T(x,z). [hyper(17,a,3145,a(flip),b,5268,a)]. given #4765 (H,wt=15): 5288 K(x,y) * (K(x,z) * K(y,x)) = K(x,z). [hyper(17,a,2192,a(flip),b,5268,a)]. given #4766 (H,wt=15): 5303 T(x,x \ y) / (y \ x) = x * (y / x). [para(4930(a,1),3792(a,1,1))]. given #4767 (H,wt=15): 5309 K(x \ y,T(y,x \ 1)) = K(x \ y,y). [para(4070(a,1),5307(a,1,2))]. given #4768 (H,wt=15): 5312 T(x,y \ K(y,z)) = T(x,z / (z * y)). [para(4984(a,1),4187(a,1,2))]. given #4769 (H,wt=15): 5319 (x * (y / x)) \ x = y \ (y / (y / x)). [para(5026(a,2),1447(a,1,2)),flip(a)]. given #4770 (H,wt=15): 5357 x / (K(y,x / z) * z) = T(x / z,y). [para(5203(a,1),279(a,1,2))]. given #4771 (H,wt=15): 5363 K(x,y) * (y * z) = y * (K(x,y) * z). [para(5203(a,1),4859(a,1,2)),flip(a)]. given #4772 (H,wt=15): 5367 x * (K(y,x) * (x \ z)) = K(y,x) * z. [para(5204(a,2),4859(a,1,2))]. given #4773 (H,wt=15): 5369 K(x,y / z) * (z * T(z \ y,x)) = y. [hyper(1036,a,5207,a)]. given #4774 (H,wt=15): 5380 K(x,y) / ((x \ 1) \ 1) = x \ K(x,y). [para(5311(a,1),197(a,1,2))]. given #4775 (H,wt=15): 5389 (K(x,y) \ y) \ (K(x,y) \ 1) = y \ 1. [para(5379(a,1),3341(a,1,1))]. given #4776 (H,wt=15): 5415 K(x,y) * (((y * x) / y) * z) = x * z. [para(13(a,1),4852(a,1,2)),flip(a)]. given #4777 (H,wt=15): 5419 x / (y * T(y \ x,z)) = K(z,x / y). [para(4858(a,1),5266(a,1,2))]. given #4778 (H,wt=15): 5421 K(x,y) / (1 / T(y,x)) = 1 / (1 / y). [para(4866(a,1),62(a,1,2))]. given #4779 (H,wt=15): 5426 K(x * (1 / (1 / y)),z) = K(x * y,z). [para(2749(a,1),5422(a,1,1)),flip(a)]. given #4780 (H,wt=15): 5428 K(x * (1 / y),z) = K(x * (y \ 1),z). [para(2837(a,1),5422(a,1,1))]. given #4781 (H,wt=15): 5429 K(x / (1 / y),z) = K(x / (y \ 1),z). [para(2851(a,1),5422(a,1,1)),flip(a)]. given #4782 (H,wt=15): 5430 K((1 / x) \ y,z) = K((x \ 1) \ y,z). [para(2948(a,1),5422(a,1,1)),flip(a)]. given #4783 (H,wt=13): 5553 K((x \ 1) \ y,y) = K(y * x,y). [hyper(236,a,5411,a(flip),b,5430,a(flip))]. given #4784 (H,wt=15): 5431 K((1 / x) * y,z) = K((x \ 1) * y,z). [para(2956(a,1),5422(a,1,1))]. given #4785 (H,wt=15): 5432 K(((x \ 1) \ 1) \ y,z) = K(x \ y,z). [para(2986(a,1),5422(a,1,1)),flip(a)]. given #4786 (H,wt=15): 5435 K(x \ (1 / y),z) = K(x \ (y \ 1),z). [para(4594(a,1),5424(a,1,1)),flip(a)]. given #4787 (H,wt=15): 5469 K(x,y * ((z \ 1) \ 1)) = K(x,y * z). [para(2822(a,1),5466(a,1,2))]. given #4788 (H,wt=15): 5470 K(x,y * T(z,z \ 1)) = K(x,y * z). [para(2823(a,1),5466(a,1,2))]. given #4789 (H,wt=15): 5472 K(x,y * (1 / z)) = K(x,y * (z \ 1)). [para(2837(a,1),5466(a,1,2))]. given #4790 (H,wt=15): 5473 K(x,y / (1 / z)) = K(x,y / (z \ 1)). [para(2851(a,1),5466(a,1,2)),flip(a)]. given #4791 (H,wt=15): 5475 K(x,T(y,y \ 1) * z) = K(x,y * z). [para(2906(a,1),5466(a,1,2))]. given #4792 (H,wt=15): 5476 K(x,(1 / y) \ z) = K(x,(y \ 1) \ z). [para(2948(a,1),5466(a,1,2)),flip(a)]. given #4793 (H,wt=15): 5477 K(x,(1 / y) * z) = K(x,(y \ 1) * z). [para(2956(a,1),5466(a,1,2))]. given #4794 (H,wt=15): 5478 K(x,((y \ 1) \ 1) \ z) = K(x,y \ z). [para(2986(a,1),5466(a,1,2)),flip(a)]. given #4795 (H,wt=15): 5492 K(x,K(y,1 / y) / z) = K(x,1 / z). [para(3600(a,1),5481(a,1,2))]. given #4796 (H,wt=15): 5496 T((x * y) / x,z) = T(y * K(x,y),z). [hyper(18,a,406,a,b,4936,a),flip(a)]. given #4797 (H,wt=15): 5501 K(x / y,x / (x / y)) = K(y \ x,y). [hyper(236,a,4997,a(flip),b,5007,a)]. given #4798 (H,wt=15): 5503 x \ T(x * y,y) = y * K(y * x,y). [hyper(18,a,4634,a,b,5042,a),flip(a)]. given #4799 (H,wt=11): 5559 K(x * y,y) = K(y * x,y). [hyper(17,a,5025,a(flip),b,5503,a(flip)),flip(a)]. given #4800 (H,wt=11): 5561 K(x * (y / x),x) = K(y,x). [para(16(a,1),5559(a,1,1)),flip(a)]. given #4801 (H,wt=13): 5560 K((x \ 1) \ y,y) = K(x * y,y). [hyper(236,a,5553,a,b,5559,a),flip(a)]. given #4802 (H,wt=13): 5562 K((1 / x) * y,y) = K(x \ y,y). [para(65(a,1),5560(a,1,1,1)),flip(a)]. given #4803 (H,wt=15): 5510 (x * K(y,x)) \ z = K(x,y) * (x \ z). [para(4854(a,1),5179(a,1,1))]. given #4804 (H,wt=15): 5521 K(x,y) * T(x,z) = K(x,z) * T(x,y). [hyper(236,a,3255,a(flip),b,5201,a)]. given #4805 (H,wt=15): 5523 K(x,y) * (y * z) = ((x * y) / x) * z. [para(13(a,1),5202(a,1,2)),flip(a)]. given #4806 (H,wt=15): 5525 ((x * y) / x) * z = y * (K(x,y) * z). [para(5202(a,1),1266(a,1,2)),flip(a)]. given #4807 (H,wt=15): 5530 T(x,y / x) / (y \ x) = x * (y / x). [para(4119(a,2),5303(a,1,1))]. given #4808 (H,wt=15): 5532 x * ((y * (x / y)) \ y) = x / (x / y). [para(5319(a,2),14(a,1,2))]. given #4809 (H,wt=15): 5543 (x \ K(x,y)) * T(x,x \ 1) = K(x,y). [para(5380(a,1),646(a,1,1))]. given #4810 (H,wt=15): 5545 (K(x,y) \ y) * (y \ 1) = K(x,y) \ 1. [para(5389(a,1),14(a,1,2))]. given #4811 (H,wt=15): 5551 K(x,y) / (K(x,y) / y) = 1 / (1 / y). [para(4832(a,2),5421(a,1,2))]. given #4812 (H,wt=15): 5558 K(x / y,(x / y) \ x) = K(y \ x,y). [hyper(5336,a,5501,a)]. given #4813 (H,wt=15): 5564 (x * K(y,x)) \ z = x \ (K(x,y) * z). [hyper(236,a,5195,a,b,5510,a)]. given #4814 (H,wt=15): 5566 K(x,y) * (K(y,z) * T(y,x)) = T(y,z). [hyper(5285,a,5521,a)]. given #4815 (H,wt=15): 5570 (x * K(y,x)) * z = K(y,x) * (x * z). [para(4854(a,1),5523(a,2,1)),flip(a)]. given #4816 (H,wt=8): 5583 L(x,y,K(z,y)) = x. [hyper(17,a,3155,a,b,5570,a),flip(a)]. given #4817 (H,wt=10): 5585 L(x,T(y,z),K(z,y)) = x. [para(3950(a,1),5583(a,1,3))]. given #4818 (H,wt=15): 5574 (x * K(y,x)) * z = x * (K(y,x) * z). [para(4854(a,1),5525(a,1,1))]. given #4819 (H,wt=8): 5586 R(x,K(y,x),z) = x. [hyper(4699,a,5574,a)]. given #4820 (H,wt=8): 5587 L(x,K(y,z),z) = x. [hyper(436,a,5574,a)]. given #4821 (H,wt=13): 5592 L(x,K(y,z),z) = L(x,u,K(w,u)). [hyper(236,a,5583,a,b,5587,a)]. given #4822 (H,wt=11): 5595 L(x,y,K(z,y)) != u | u = x. [para(5592(a,1),323(a,1))]. given #4823 (H,wt=11): 5596 L(x,K(y,z),z) != u | u = x. [para(5592(a,2),326(a,1))]. given #4824 (H,wt=15): 5580 (x * K(y,x)) \ y = x \ (y * K(x,y)). [para(3138(a,1),5564(a,2,2))]. given #4825 (H,wt=16): 4810 T(x * K(x \ y,x),y) = L(x,x \ y,x). [para(4799(a,1),4215(a,1,1))]. given #4826 (H,wt=16): 4812 (x \ y) * x != z * y | K(x \ y,x) = z. [para(4804(a,1),20(a,1))]. given #4827 (H,wt=16): 4891 x * K(x,y) != z * u | z \ T(x,y) = u. [para(4829(a,2),367(a,1,2))]. given #4828 (H,wt=16): 4892 x * K(x,y) != z * u | T(x,y) / u = z. [para(4829(a,2),529(a,1,2))]. given #4829 (H,wt=16): 4910 K(x,y) \ z != u | x * (T(x,y) \ z) = u. [para(4829(a,2),3962(a,1,1))]. given #4830 (H,wt=16): 4921 T(x,y) \ x != z * u | z \ K(y,x) = u. [para(4836(a,1),305(a,1,2))]. given #4831 (H,wt=16): 4922 T(x,y) \ x != z * u | K(y,x) / u = z. [para(4836(a,1),428(a,1,2))]. given #4832 (H,wt=16): 4948 K(x \ 1,y) != z | x * T(x \ 1,y) = z. [para(4880(a,2),1133(a,1))]. given #4833 (H,wt=16): 4957 (x * y) * L(K(y,z),y,x) = x * T(y,z). [para(4887(a,2),103(a,2,2))]. given #4834 (H,wt=16): 4958 x \ T(x,y) != z * u | z \ K(x,y) = u. [para(4887(a,2),305(a,1,2))]. given #4835 (H,wt=16): 4959 x \ T(x,y) != z * u | K(x,y) / u = z. [para(4887(a,2),428(a,1,2))]. given #4836 (H,wt=16): 4999 K(R(x,y,x),y * x) = K(T(x,y),y * x). [para(759(a,1),4988(a,1,1)),flip(a)]. given #4837 (H,wt=16): 5027 (x * y) \ ((x * y) / x) = L(x \ 1,x,y). [hyper(72,a,4854,a,b,1448,a)]. given #4838 (H,wt=15): 5604 L(x \ 1,T(x,y),y) = L(x \ 1,x,y). [hyper(236,a,3749,a(flip),b,5027,a(flip)),flip(a)]. given #4839 (H,wt=16): 5036 T(T(x * K(y,x),z),y) != u | T(x,z) = u. [para(4854(a,1),672(a,1,1,1))]. given #4840 (H,wt=16): 5108 K(x,y) * K(y,x) != z * u | z \ 1 = u. [para(5093(a,1),367(a,1,2))]. given #4841 (H,wt=16): 5109 K(x,y) * K(y,x) != z * u | 1 / u = z. [para(5093(a,1),529(a,1,2))]. given #4842 (H,wt=16): 5122 (1 / x) * T(x,y) != z | x \ T(x,y) = z. [para(4879(a,1),4855(a,1))]. given #4843 (H,wt=16): 5128 (x / y) \ (y \ x) != z | K(y \ x,y) = z. [para(3988(a,1),4920(a,1))]. given #4844 (H,wt=16): 5129 x * T(x \ 1,y) != z | K(x \ 1,y) = z. [para(4091(a,1),4920(a,1))]. given #4845 (H,wt=16): 5136 ((x \ 1) \ 1) / x != y | K(x,1 / x) = y. [para(1756(a,1),4972(a,1,1))]. given #4846 (H,wt=16): 5158 K(x \ 1,y) != x * z | T(x \ 1,y) = z. [para(4830(a,1),19(a,1))]. given #4847 (H,wt=16): 5183 T(x,y) * z != x * u | K(x,y) * z = u. [para(4856(a,1),19(a,1))]. given #4848 (H,wt=16): 5185 x \ (T(x,y) * z) != u | K(x,y) * z = u. [para(4856(a,1),283(a,1,2)),flip(b)]. given #4849 (H,wt=16): 5198 K(x,y) * (T(x,y) \ z) != u | x \ z = u. [para(4857(a,1),1022(a,1))]. given #4850 (H,wt=16): 5208 K(x,y) * (y \ z) != u | T(y,x) \ z = u. [para(4859(a,1),1023(a,1))]. given #4851 (H,wt=16): 5209 K(x,y) * z != u | T(y,x) \ (y * z) = u. [para(4859(a,1),1033(a,1))]. given #4852 (H,wt=16): 5211 K(x,y) \ (y * z) != u | T(y,x) * z = u. [para(4860(a,1),283(a,1,2)),flip(b)]. given #4853 (H,wt=16): 5212 (x * y) / (T(x,z) * y) != u | K(z,x) = u. [para(4860(a,1),296(a,1,1)),flip(b)]. given #4854 (H,wt=16): 5213 x * (T(x,y) \ z) != u | K(y,x) * z = u. [para(4860(a,1),307(a,1))]. given #4855 (H,wt=16): 5216 K(x,y) * (x * z) != u | T(x,y) * z = u. [para(4871(a,1),221(a,1,1)),flip(b)]. given #4856 (H,wt=16): 5220 K(1 / x,y) / x != z | T(1 / x,y) = z. [para(4883(a,1),410(a,1,1))]. given #4857 (H,wt=16): 5254 T(x,y) * (x \ z) != u | K(x,y) * z = u. [para(4906(a,1),307(a,1))]. given #4858 (H,wt=16): 5273 K(x,y) \ z != z * u | T(K(y,x),z) = u. [para(5260(a,2),169(a,2)),flip(a)]. given #4859 (H,wt=16): 5293 K(1 / x,x) != y | K(x,x \ 1) \ 1 = y. [para(1801(a,2),5284(a,1))]. given #4860 (H,wt=16): 5320 (x \ y) * K(x,x \ y) != z | y / x = z. [para(5057(a,1),216(a,1,2)),flip(b)]. given #4861 (H,wt=16): 5323 x * K(y,y \ x) != z | y * (x / y) = z. [para(5077(a,1),216(a,1,2)),flip(b)]. given #4862 (H,wt=16): 5329 x * (y / x) != y * z | K(x,x \ y) = z. [para(5079(a,1),19(a,1))]. given #4863 (H,wt=16): 5332 (x \ y) * x != y * z | K(y / x,x) = z. [para(5081(a,1),19(a,1))]. given #4864 (H,wt=16): 5344 x * (K(x,y) * z) != u | T(x,y) * z = u. [para(5175(a,1),216(a,1,2)),flip(b)]. given #4865 (H,wt=16): 5345 x \ y != K(x,z) * u | T(x,z) \ y = u. [para(5178(a,1),19(a,1))]. given #4866 (H,wt=16): 5355 T(x,y) * (K(y,x) * z) != u | x * z = u. [para(5203(a,1),216(a,1,2)),flip(b)]. given #4867 (H,wt=16): 5356 (x * y) / (K(z,x) * y) != u | T(x,z) = u. [para(5203(a,1),294(a,1,2)),flip(b)]. given #4868 (H,wt=16): 5361 K(x,y) * z != u | y * (T(y,x) \ z) = u. [para(5203(a,1),1020(a,1))]. given #4869 (H,wt=16): 5370 T(x,y) \ (x * z) != u | K(y,x) * z = u. [para(5207(a,1),283(a,1,2)),flip(b)]. given #4870 (H,wt=16): 5376 (x \ 1) / (x \ K(x,y)) != z | K(y,x) = z. [para(5263(a,1),296(a,1,1)),flip(b)]. given #4871 (H,wt=16): 5388 K(x,y) \ y != y * z | K(x,y) \ 1 = z. [para(5379(a,1),19(a,1))]. given #4872 (H,wt=16): 5401 K(x,x \ y) * (x \ y) != z | y / x = z. [para(5020(a,1),5271(a,1,2)),flip(b)]. given #4873 (H,wt=16): 5402 x * (T(x,y) \ z) != u | K(x,y) \ z = u. [para(4859(a,2),5283(a,1))]. given #4874 (H,wt=16): 5404 (x * (y / x)) \ y != z | K(x \ y,x) = z. [para(99(a,2),5335(a,1))]. given #4875 (H,wt=16): 5407 K(x,y) * K(x * y,x) = x \ R(x,y,x). [hyper(72,a,5396,a(flip),b,4856,a),flip(a)]. given #4876 (H,wt=16): 5412 K((1 / x) \ y,y) != z | K(y * x,y) = z. [para(4843(a,2),4920(a,1))]. given #4877 (H,wt=16): 5423 K(x * K(y,y \ 1),z) != u | K(x,z) = u. [para(4868(a,2),4928(a,1))]. given #4878 (H,wt=16): 5465 K(x,x * (y \ 1)) != z | K(x,y \ x) = z. [para(4895(a,2),4956(a,1))]. given #4879 (H,wt=13): 5636 K(x,(y \ 1) \ x) = K(x,x * y). [hyper(5465,a,5469,a)]. given #4880 (H,wt=16): 5528 K(x,T(y \ 1,L(y,z,u))) = K(x,y \ 1). [para(4771(a,1),5240(a,1,2)),flip(a)]. given #4881 (H,wt=16): 5618 K(x,y) * z != u | T(x,y) * (x \ z) = u. [para(14(a,1),5216(a,1,2))]. given #4882 (H,wt=16): 5624 T(x,y) * z != u | x * (K(x,y) * z) = u. [para(5268(a,1),5355(a,1,2))]. given #4883 (H,wt=16): 5626 K(x * y,x) * K(x,y) = x \ R(x,y,x). [hyper(2193,a,5407,a)]. given #4884 (H,wt=16): 5628 K(x,y) * K(y * x,x) = x \ R(x,y,x). [para(5559(a,2),5407(a,1,2))]. given #4885 (H,wt=16): 5629 K((x \ 1) \ y,y) != z | K(y * x,y) = z. [para(5430(a,1),5412(a,1))]. given #4886 (H,wt=14): 5642 K(x * y,y) != z | K(y * x,y) = z. [para(5560(a,1),5629(a,1))]. given #4887 (H,wt=17): 4809 (x / y) * (y * K(y \ x,y)) = (y \ x) * y. [para(4799(a,1),3954(a,1,2))]. given #4888 (H,wt=17): 4882 T(x \ T(x,y \ 1),z) = K(x,T(y,z) \ 1). [hyper(236,a,3810,a(flip),b,4829,a),flip(a)]. given #4889 (H,wt=15): 5644 K(x,T(y,z) \ 1) = T(K(x,y \ 1),z). [para(4829(a,2),4882(a,1,1)),flip(a)]. given #4890 (H,wt=15): 5647 K(x,T(1 / y,z) \ 1) = T(K(x,y),z). [para(65(a,1),5644(a,2,1,2))]. given #4891 (H,wt=12): 5654 K(x,R(T(K(x,y),z),u,w)) = 1. [para(5647(a,1),3272(a,1,2,1))]. given #4892 (H,wt=15): 5651 K(x,T(y \ 1,z) \ 1) = T(K(x,y),z). [para(5233(a,1),5644(a,2,1))]. given #4893 (H,wt=15): 5652 K(x,1 / T(1 / y,z)) = T(K(x,y),z). [hyper(5443,a,5647,a)]. given #4894 (H,wt=15): 5653 K(x,1 / T(y,z)) = T(K(x,1 / y),z). [para(2478(a,1),5647(a,1,2))]. given #4895 (H,wt=17): 4937 L(x * K(y,x),z,u) * y = y * L(x,z,u). [para(4853(a,1),181(a,1,2,1)),flip(a)]. given #4896 (H,wt=17): 4938 R(x * K(y,x),z,u) * y = y * R(x,z,u). [para(4853(a,1),182(a,1,2,1)),flip(a)]. given #4897 (H,wt=17): 4939 T((x * (y * K(z,y))) / x,z) = (x * y) / x. [para(4853(a,1),412(a,1,1,2)),flip(a)]. given #4898 (H,wt=17): 4941 T(1 / (1 / (x * K(y,x))),y) = 1 / (1 / x). [para(4853(a,1),2482(a,1,2,2)),flip(a)]. given #4899 (H,wt=15): 5659 T(1 / (K(x,y) / x),y) = 1 / (1 / x). [para(5334(a,1),4941(a,1,1,2))]. given #4900 (H,wt=17): 4946 T(x,L(y * K(x,y),z,u)) = T(x,L(y,z,u)). [para(4853(a,1),4118(a,1,2,1)),flip(a)]. given #4901 (H,wt=17): 4950 x * K(x,y * (z \ 1)) = T(x,y * (1 / z)). [hyper(236,a,4500,a,b,4887,a(flip))]. given #4902 (H,wt=17): 5016 T(x,y) * (x \ K(z,x)) = T(x,z) \ T(x,y). [para(4833(a,1),1027(a,1,2))]. given #4903 (H,wt=15): 5662 T(x,y) \ T(x,z) = K(x,z) * K(y,x). [hyper(5254,a,5016,a),flip(a)]. given #4904 (H,wt=17): 5018 K(x,y) * K(y \ 1,y) = (T(y,x) \ 1) * y. [para(4833(a,2),4042(a,2,1))]. given #4905 (H,wt=17): 5038 L(x * K(y,x),z,u) = (y * L(x,z,u)) / y. [para(4854(a,1),806(a,1,1))]. given #4906 (H,wt=17): 5039 R(x * K(y,x),z,u) = (y * R(x,z,u)) / y. [para(4854(a,1),813(a,1,1))]. given #4907 (H,wt=17): 5043 T(x * K(y,x),x \ y) = (x \ y) \ T(y,x). [para(4854(a,1),1283(a,1,1))]. given #4908 (H,wt=17): 5052 (x \ (y * K(x,y))) * x = (x \ y) * T(x,y). [para(4854(a,1),4678(a,1,1,2))]. given #4909 (H,wt=17): 5056 (x \ 1) \ K(y,x) = (y * ((x \ 1) \ 1)) / y. [hyper(72,a,4877,a,b,1269,a)]. given #4910 (H,wt=17): 5063 K(x,y) * K(x \ 1,x) = (x \ 1) * T(x,y). [para(4879(a,2),2957(a,1,1))]. given #4911 (H,wt=17): 5131 x \ L(T(x,y),y,x) != z | K(x,x * y) = z. [para(595(a,2),4956(a,1,2))]. given #4912 (H,wt=17): 5148 T(x * T(x \ 1,y),z) = K(T(x,z) \ 1,y). [hyper(236,a,2055,a,b,4823,a(flip)),flip(a)]. given #4913 (H,wt=15): 5675 K(T(x,y) \ 1,z) = T(K(x \ 1,z),y). [para(4830(a,1),5148(a,1,1)),flip(a)]. given #4914 (H,wt=15): 5676 K(T(1 / x,y) \ 1,z) = T(K(x,z),y). [para(4878(a,2),5148(a,1,1)),flip(a)]. given #4915 (H,wt=15): 5677 K(T(x \ 1,y) \ 1,z) = T(K(x,z),y). [para(3247(a,1),5675(a,2,1))]. given #4916 (H,wt=15): 5678 K(1 / T(x,y),z) = T(K(1 / x,z),y). [para(2478(a,1),5676(a,1,1))]. given #4917 (H,wt=17): 5149 (x * T(x \ y,z)) / y = K((x / y) \ 1,z). [hyper(236,a,1406,a(flip),b,4823,a(flip)),flip(a)]. given #4918 (H,wt=17): 5150 x \ (y * T(y \ x,z)) = K((x \ y) \ 1,z). [hyper(236,a,1250,a(flip),b,4823,a(flip)),flip(a)]. given #4919 (H,wt=17): 5151 (x \ (x / y)) * x = (x / y) * K(y \ 1,x). [para(4823(a,1),249(a,1,2)),flip(a)]. given #4920 (H,wt=17): 5152 x * T(x \ y,z) = y * K((y \ x) \ 1,z). [para(4823(a,1),1248(a,2,2))]. given #4921 (H,wt=15): 5690 T(K(x / y,z),x) = K((x \ y) \ 1,z). [hyper(168,a,4858,a,b,5152,a(flip))]. given #4922 (H,wt=17): 5162 K(x \ 1,y) * (x \ y) = (y \ (x \ y)) * y. [para(4830(a,1),1104(a,2,1)),flip(a)]. given #4923 (H,wt=13): 5693 K(x \ (y \ x),x) = K(y \ 1,x). [hyper(18,a,4804,a,b,5162,a),flip(a)]. given #4924 (H,wt=13): 5694 K((x / y) \ 1,x) = K(x \ y,x). [para(65(a,1),5693(a,1,1,2)),flip(a)]. given #4925 (H,wt=17): 5164 K((x / y) \ 1,z) * y = x * T(x \ y,z). [para(4830(a,1),1407(a,1,1))]. given #4926 (H,wt=13): 5699 K((x / y) \ 1,z) = K(y / x,z). [hyper(18,a,4858,a,b,5164,a)]. given #4927 (H,wt=13): 5702 K(1 / (x / y),z) = K(y / x,z). [hyper(5393,a,5699,a)]. given #4928 (H,wt=13): 5704 K(x / (y * x),z) = K(y \ 1,z). [para(15(a,1),5699(a,1,1,1)),flip(a)]. given #4929 (H,wt=13): 5706 K((x \ y) / y,z) = K(x \ 1,z). [para(62(a,1),5699(a,1,1,1)),flip(a)]. given #4930 (H,wt=16): 5707 K(x / y,z) != u | K((y / x) \ 1,z) = u. [para(5702(a,1),3294(a,1))]. given #4931 (H,wt=16): 5709 K(x / (y * x),z) != u | K(1 / y,z) = u. [para(5704(a,2),5393(a,1))]. given #4932 (H,wt=17): 5176 x \ (((x \ y) \ y) * z) = K(x,x \ y) * z. [hyper(72,a,256,a(flip),b,4856,a)]. given #4933 (H,wt=17): 5177 K(x,y) * T(z,T(x,y)) = x \ (z * T(x,y)). [hyper(72,a,119,a(flip),b,4856,a),flip(a)]. given #4934 (H,wt=17): 5186 x * (K(y,x) * K(x,z)) = T(x,z) * K(y,x). [para(2192(a,1),4856(a,1,2))]. given #4935 (H,wt=16): 5712 K(x,y) * K(y,y * x) = y \ L(y,x,y). [hyper(72,a,5395,a(flip),b,5186,a),flip(a)]. given #4936 (H,wt=17): 5190 (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. [hyper(895,a,4857,a)]. given #4937 (H,wt=17): 5218 (x * T(x \ y,y)) * (y \ 1) = K(x \ y,y). [para(1169(a,1),4874(a,2,1)),flip(a)]. given #4938 (H,wt=17): 5219 (x * T(x \ y,z)) / y = K(1 / (x / y),z). [hyper(236,a,1401,a(flip),b,4883,a(flip)),flip(a)]. given #4939 (H,wt=17): 5235 (1 / x) * K(y,1 / x) = K(y,x \ 1) / x. [para(5223(a,1),2325(a,2,1))]. given #4940 (H,wt=13): 5716 T(K(x,y \ 1) / y,x) = 1 / y. [para(5235(a,1),4853(a,1,1))]. given #4941 (H,wt=17): 5247 (1 / (1 / x)) / K(y,x) = T(1 / (1 / x),y). [para(5234(a,1),4840(a,2,2)),flip(a)]. given #4942 (H,wt=17): 5252 K(x,y) \ (z * T(x,y)) = x * T(z,T(x,y)). [hyper(72,a,119,a(flip),b,4906,a)]. given #4943 (H,wt=17): 5327 K(x,y \ 1) * (y \ x) = x * ((y \ x) / x). [para(5078(a,1),4909(a,1,1))]. given #4944 (H,wt=17): 5339 T(1 / ((x * y) \ x),y) = 1 / ((x * y) \ x). [hyper(74,a,541,a(flip),b,5156,a),flip(a)]. given #4945 (H,wt=17): 5346 K(x,x \ y) * (((x \ y) \ y) \ z) = x \ z. [para(120(a,1),5178(a,1,2,1))]. given #4946 (H,wt=17): 5352 ((x \ y) \ y) \ (x * z) = K(x \ y,x) * z. [hyper(236,a,637,a(flip),b,5203,a(flip)),flip(a)]. given #4947 (H,wt=17): 5362 K(x,T(y,z)) * K(z,y) = T(T(y,z),x) \ y. [para(4836(a,1),5203(a,1,2)),flip(a)]. given #4948 (H,wt=17): 5365 ((x \ y) \ y) \ z = K(x \ y,x) * (x \ z). [hyper(236,a,637,a(flip),b,5204,a),flip(a)]. given #4949 (H,wt=17): 5372 (x / y) * K(x,1 / y) = x * ((x / y) / x). [para(5224(a,1),250(a,1,2))]. given #4950 (H,wt=17): 5373 K(T(K(x,x \ 1) * y,z),x) = K(T(y,z),x). [para(4638(a,1),5237(a,1,1)),flip(a)]. given #4951 (H,wt=17): 5390 x * (((x * y) \ (y * x)) \ 1) = x / K(y,x). [para(26(a,1),5387(a,1,2,1))]. given #4952 (H,wt=17): 5408 K(x \ (x * y),x) = (y * x) * ((x * y) \ 1). [para(13(a,1),4803(a,1,1,1)),flip(a)]. given #4953 (H,wt=13): 5728 K(x,y) = (x * y) * ((y * x) \ 1). [hyper(236,a,660,a(flip),b,5408,a(flip)),flip(a)]. given #4954 (H,wt=13): 5729 (x * y) \ K(x,y) = (y * x) \ 1. [hyper(72,a,660,a(flip),b,5408,a(flip))]. given #4955 (H,wt=15): 5730 ((x \ y) * x) \ 1 = y \ K(x,x \ y). [hyper(72,a,5728,a,b,90,a(flip)),flip(a)]. given #4956 (H,wt=17): 5410 K(x \ 1,x) * K(y,x) = (T(x,y) \ 1) * x. [para(4835(a,2),2789(a,1,2))]. given #4957 (H,wt=17): 5416 (x \ y) * ((y / x) \ z) = K(x \ y,x) * z. [para(14(a,1),4852(a,1,2,1,1))]. given #4958 (H,wt=17): 5433 K(x \ (y * K(z,z \ 1)),u) = K(x \ y,u). [para(4493(a,2),5422(a,1,1))]. given #4959 (H,wt=15): 5734 K(x \ ((y \ 1) * y),z) = K(x \ 1,z). [para(247(a,1),5433(a,1,1,2)),flip(a)]. given #4960 (H,wt=17): 5434 K(x \ (K(y,y \ 1) * z),u) = K(x \ z,u). [para(4494(a,2),5422(a,1,1))]. given #4961 (H,wt=17): 5436 K((K(x,x \ 1) * y) \ z,u) = K(y \ z,u). [para(4605(a,2),5424(a,1,1))]. given #4962 (H,wt=17): 5450 K(x,T(y,L(y,z,u) \ 1)) != w | K(x,y) = w. [para(4695(a,2),5444(a,1,2))]. given #4963 (H,wt=17): 5479 K(x,y \ (K(z,z \ 1) * u)) = K(x,y \ u). [para(4494(a,2),5466(a,1,2))]. given #4964 (H,wt=17): 5480 K(x,(K(y \ 1,y) * z) \ u) = K(x,z \ u). [para(4565(a,2),5466(a,1,2))]. given #4965 (H,wt=17): 5482 K(x,y * (z * K(u,1 / u))) = K(x,y * z). [para(4486(a,1),5467(a,1,2))]. given #4966 (H,wt=17): 5483 K(x,y * (K(z,z \ 1) * u)) = K(x,y * u). [para(4586(a,1),5468(a,1,2))]. given #4967 (H,wt=17): 5484 K(x,T(y * K(z,z \ 1),u)) = K(x,T(y,u)). [para(4677(a,2),5468(a,1,2))]. given #4968 (H,wt=17): 5488 K(x,(K(y,y \ 1) * z) \ u) = K(x,z \ u). [para(4603(a,2),5471(a,1,2))]. given #4969 (H,wt=17): 5491 K(x,y / (K(z,z \ 1) * u)) = K(x,y / u). [para(4722(a,2),5471(a,1,2))]. given #4970 (H,wt=17): 5493 T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y). [hyper(18,a,4900,a,b,4936,a),flip(a)]. given #4971 (H,wt=17): 5506 ((x \ 1) \ K(y,x)) * y = y * ((x \ 1) \ 1). [para(5233(a,1),5071(a,1,1,2))]. given #4972 (H,wt=17): 5507 K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z. [para(14(a,1),5179(a,1,1,1)),flip(a)]. given #4973 (H,wt=17): 5508 (x / (x / y)) \ z = K(y,x / y) * (y \ z). [para(16(a,1),5179(a,1,1,1))]. given #4974 (H,wt=17): 5509 (x / (x / y)) \ z = K(y,y \ x) * (y \ z). [para(4206(a,1),5179(a,1,1))]. given #4975 (H,wt=17): 5512 x * (K(x,y) * T(z,x)) = K(x,y) * (z * x). [hyper(236,a,4856,a,b,5180,a),flip(a)]. given #4976 (H,wt=17): 5513 K(x,y) * ((x \ y) * x) = (x \ y) * T(x,y). [hyper(236,a,3923,a(flip),b,5180,a)]. given #4977 (H,wt=17): 5519 (x / y) \ ((y \ x) * z) = K(y \ x,y) * z. [para(14(a,1),5193(a,1,1,1))]. given #4978 (H,wt=17): 5520 (x / (x / y)) \ (y * z) = K(y,y \ x) * z. [para(4206(a,1),5193(a,1,1))]. given #4979 (H,wt=17): 5524 (x / y) * ((y \ x) \ z) = K(y,y \ x) * z. [para(14(a,1),5202(a,1,1,1))]. given #4980 (H,wt=17): 5526 (x / (x / y)) * (y \ z) = K(y \ x,y) * z. [para(4206(a,1),5202(a,1,1))]. given #4981 (H,wt=17): 5544 K(x,y) * K(x \ 1,x) = (x \ K(x,y)) * x. [para(5380(a,1),2788(a,1,1)),flip(a)]. given #4982 (H,wt=15): 5766 (x \ K(x,y)) * x = (x \ 1) * T(x,y). [hyper(236,a,5063,a(flip),b,5544,a(flip))]. given #4983 (H,wt=17): 5546 K(x \ y,x) * ((y / x) * z) = (x \ y) * z. [para(14(a,1),5415(a,1,2,1,1))]. given #4984 (H,wt=13): 5768 (x / y) * K(y \ x,y) = y \ x. [hyper(3251,a,5546,a)]. given #4985 (H,wt=17): 5568 K(x,x \ y) * ((x \ y) * z) = (y / x) * z. [para(14(a,1),5523(a,2,1,1))]. given #4986 (H,wt=17): 5571 (x \ y) * (K(x,x \ y) * z) = (y / x) * z. [para(14(a,1),5525(a,1,1,1)),flip(a)]. given #4987 (H,wt=17): 5573 (x / (x / y)) * z = y * (K(y \ x,y) * z). [para(4206(a,1),5525(a,1,1))]. given #4988 (H,wt=17): 5575 ((x * y) / x) * (x * z) = y * (T(x,y) * z). [para(4906(a,1),5525(a,2,2))]. given #4989 (H,wt=17): 5576 ((x * y) / x) * (x / y) = y * (x / T(y,x)). [para(5368(a,1),5525(a,2,2))]. given #4990 (H,wt=17): 5584 (x * K(y,x)) * K(x,z) = K(y,x) * T(x,z). [para(4887(a,2),5570(a,2,2))]. given #4991 (H,wt=16): 5785 (x * K(y,x)) \ L(x,y,x) = K(x,x * y). [hyper(72,a,5181,a(flip),b,5584,a)]. given #4992 (H,wt=17): 5648 x * K(y,T(z,x) \ 1) = K(y,z \ 1) * x. [para(5644(a,2),119(a,1,2))]. given #4993 (H,wt=17): 5660 (1 / (K(x,y) / x)) * y = y * (1 / (1 / x)). [para(5659(a,1),119(a,1,2)),flip(a)]. given #4994 (H,wt=17): 5673 (((x * y) / x) \ 1) \ 1 = (y \ 1) \ K(x,y). [hyper(236,a,2578,a(flip),b,5056,a),flip(a)]. given #4995 (H,wt=15): 5790 (x \ K(x,y)) \ 1 = (x \ 1) \ K(y,x). [para(4984(a,1),5673(a,1,1))]. given #4996 (H,wt=17): 5679 K(x,T(y \ 1,z) \ 1) = 1 / T(K(y,x),z). [para(5677(a,1),5102(a,1,2)),flip(a)]. given #4997 (H,wt=13): 5791 1 / T(K(x,y),z) = T(K(y,x),z). [hyper(236,a,5651,a(flip),b,5679,a(flip))]. given #4998 (H,wt=13): 5792 T(K(x,y),z) \ 1 = T(K(y,x),z). [hyper(236,a,2481,a(flip),b,5791,a(flip)),flip(a)]. given #4999 (H,wt=15): 5793 T(K(x,y),z) * K(y,x) = K(z,K(y,x)). [para(5791(a,1),4827(a,2,1)),flip(a)]. given #5000 (H,wt=17): 5695 (x \ (y \ x)) * x = (y \ x) * K(y \ 1,x). [para(5693(a,1),249(a,1,2)),flip(a)]. given #5001 (H,wt=17): 5701 x / (y * T(y \ x,z)) = K(z,(y / x) \ 1). [para(5164(a,1),5266(a,1,2))]. given #5002 (H,wt=13): 5795 K(x,(y / z) \ 1) = K(x,z / y). [hyper(236,a,5419,a(flip),b,5701,a(flip))]. given #5003 (H,wt=13): 5796 K(x,1 / (y / z)) = K(x,z / y). [hyper(5443,a,5795,a)]. given #5004 (H,wt=13): 5797 K(x,y / (z * y)) = K(x,z \ 1). [para(15(a,1),5795(a,1,2,1)),flip(a)]. given #5005 (H,wt=13): 5798 K(x,(y \ z) / z) = K(x,y \ 1). [para(62(a,1),5795(a,1,2,1)),flip(a)]. given #5006 (H,wt=13): 5800 K(x,y / (z * y)) = K(x,1 / z). [para(15(a,1),5796(a,1,2,2)),flip(a)]. given #5007 (H,wt=16): 5801 K(x,y / z) != u | K(x,(z / y) \ 1) = u. [para(5796(a,1),5228(a,1))]. given #5008 (H,wt=16): 5806 K(x,y / (z * y)) != u | K(x,z \ 1) = u. [para(5800(a,2),5228(a,1))]. given #5009 (H,wt=16): 5808 K(x,(y \ z) / z) != u | K(x,y \ 1) = u. [para(14(a,1),5806(a,1,2,2))]. given #5010 (H,wt=17): 5710 K(x,(y \ z) / z) = u / (K(y \ 1,x) * u). [para(5706(a,1),5266(a,1,2,1)),flip(a)]. given #5011 (H,wt=17): 5713 (x * K(y,x)) * K(x,z) = T(x,z) * K(y,x). [hyper(236,a,5574,a,b,5186,a(flip)),flip(a)]. given #5012 (H,wt=17): 5717 (1 / x) * K(y,x \ 1) = K(y,x \ 1) / x. [para(5223(a,1),5235(a,1,2))]. given #5013 (H,wt=17): 5720 (x \ T(y,x \ 1)) / (x \ y) = K(y,x \ 1). [hyper(74,a,3773,a,b,5327,a)]. given #5014 (H,wt=17): 5732 (x \ 1) * (x * K(y,x)) = (T(x,y) \ 1) * x. [hyper(236,a,3171,a(flip),b,5410,a(flip)),flip(a)]. given #5015 (H,wt=17): 5747 K(x,y * (K(z,1 / z) * u)) = K(x,y * u). [para(2512(a,2),5482(a,1,2,2))]. given #5016 (H,wt=17): 5754 T(x,y) \ T(x * K(z,x),y) = K(z,T(x,y)). [hyper(80,a,5493,a)]. given #5017 (H,wt=17): 5756 T(x * K(y,x),z) \ T(x,z) = K(T(x,z),y). [para(5493(a,1),5053(a,1,1))]. given #5018 (H,wt=17): 5757 K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z. [hyper(5285,a,5507,a)]. given #5019 (H,wt=17): 5776 (x \ y) \ ((y / x) * z) = K(x,x \ y) * z. [hyper(72,a,5568,a(flip),b,5363,a(flip))]. given #5020 (H,wt=17): 5789 ((x * K(y,x)) \ 1) \ 1 = (x \ 1) \ K(y,x). [para(4854(a,1),5673(a,1,1,1))]. given #5021 (H,wt=17): 5810 (x \ 1) * ((y * x) / y) = (T(x,y) \ 1) * x. [hyper(236,a,5028,a,b,5732,a(flip)),flip(a)]. given #5022 (H,wt=18): 4838 L(T(x,y),z,u) \ L(x,z,u) = K(y,L(x,z,u)). [para(40(a,2),4821(a,2,1)),flip(a)]. given #5023 (H,wt=18): 4839 R(T(x,y),z,u) \ R(x,z,u) = K(y,R(x,z,u)). [para(42(a,2),4821(a,2,1)),flip(a)]. given #5024 (H,wt=18): 4888 L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u). [para(40(a,2),4829(a,2,2)),flip(a)]. given #5025 (H,wt=18): 4889 R(x,y,z) \ R(T(x,u),y,z) = K(R(x,y,z),u). [para(42(a,2),4829(a,2,2)),flip(a)]. given #5026 (H,wt=18): 4955 ((x * y) * K(y,z)) / T(y,z) = R(x,y,K(y,z)). [para(4887(a,2),30(a,2,2)),flip(a)]. given #5027 (H,wt=18): 4969 K(L(x,y,z),u) * L(x,y,z) = L(T(x,u),y,z). [hyper(236,a,40,a,b,4897,a(flip))]. given #5028 (H,wt=14): 5821 K(L(x,y,z),x \ 1) = K(x,x \ 1). [hyper(18,a,4755,a,b,4969,a)]. given #5029 (H,wt=16): 5822 L(T(x,y),z,u) != w | T(L(x,z,u),y) = w. [para(4969(a,1),4898(a,1))]. given #5030 (H,wt=18): 4986 (x * y) \ (x * K(z,y)) = L(T(y,z) \ 1,y,x). [para(4828(a,2),28(a,2,2,2)),flip(a)]. given #5031 (H,wt=18): 5000 K((x * y) * (x \ 1),x) = K(R(y,x,x \ 1),x). [para(748(a,1),4988(a,1,1)),flip(a)]. given #5032 (H,wt=18): 5022 x / ((y * x) / y) != z * u | K(x,y) / u = z. [para(4851(a,1),302(a,1,1))]. given #5033 (H,wt=18): 5032 R(x * K(y,x),y,z) = ((y * x) * z) / (y * z). [para(4854(a,1),114(a,1,1))]. given #5034 (H,wt=18): 5034 R(x * K(y,x),y,y \ 1) = (y * x) * (y \ 1). [para(4854(a,1),482(a,1,1))]. given #5035 (H,wt=18): 5040 T(T(x * K(y,x),z),x * y) = L(T(x,z),y,x). [para(4854(a,1),894(a,1,1,1))]. given #5036 (H,wt=18): 5047 (x * K(y,x)) \ ((y * (x * y)) / y) = L(y,x,y). [para(4854(a,1),1675(a,2,1)),flip(a)]. given #5037 (H,wt=18): 5059 x * (y * K(z,y)) != u | x * ((z * y) / z) = u. [para(4877(a,2),307(a,1,2,2))]. given #5038 (H,wt=18): 5060 x * K(y,x) != z * u | z \ ((y * x) / y) = u. [para(4877(a,2),367(a,1,2))]. given #5039 (H,wt=18): 5066 (1 / x) * T(x,y) != z * u | K(x,y) / u = z. [para(4885(a,1),374(a,1,1))]. given #5040 (H,wt=18): 5074 x * ((y * z) / y) != u | x * (z * K(y,z)) = u. [para(4934(a,1),536(a,1,2,2))]. given #5041 (H,wt=18): 5110 x * (K(y,z) * K(z,y)) != u * w | u \ x = w. [para(5093(a,1),366(a,1,2,2))]. given #5042 (H,wt=18): 5123 (1 / x) * K(x \ 1,y) != z | T(1 / x,y) = z. [para(3244(a,1),4890(a,1,2))]. given #5043 (H,wt=18): 5132 (x * T(x \ y,z)) / y != u | K(y / x,z) = u. [para(3945(a,2),4956(a,1))]. given #5044 (H,wt=16): 5825 K((x / y) \ 1,z) != u | K(y / x,z) = u. [para(5149(a,1),5132(a,1))]. given #5045 (H,wt=16): 5826 K(1 / (x / y),z) != u | K(y / x,z) = u. [para(5219(a,1),5132(a,1))]. given #5046 (H,wt=18): 5140 K(x,L(T(y,x),z,u)) != w | K(x,L(y,z,u)) = w. [para(40(a,2),5001(a,1,2))]. given #5047 (H,wt=18): 5141 K(x,T(x \ y,z)) != u | K(x,T(y / x,z)) = u. [para(183(a,1),5001(a,1,2))]. given #5048 (H,wt=18): 5143 K(x,(y * x) \ y) \ 1 != z | K(x \ 1,x) = z. [para(2280(a,2),5116(a,1,1))]. given #5049 (H,wt=18): 5155 K(x \ (x / y),x) \ x != z | T(x,y \ 1) = z. [para(4823(a,2),4864(a,1,1))]. given #5050 (H,wt=18): 5256 T(x,y) * T(z,x) != u | K(x,y) * (z * x) = u. [para(4906(a,1),535(a,1))]. given #5051 (H,wt=18): 5274 K(x,y) * (K(y,x) * (z * u)) != z * w | w = u. [para(5260(a,1),79(a,1))]. given #5052 (H,wt=18): 5278 K(x,y) * (K(y,x) * z) != u * w | u \ z = w. [para(5260(a,1),305(a,1))]. given #5053 (H,wt=18): 5291 T(x,K(y,z)) != u | K(z,y) * (x * K(y,z)) = u. [para(5268(a,1),535(a,1))]. given #5054 (H,wt=18): 5313 (x * y) \ K(x * y,y) = (L(y,x,y) * x) \ 1. [para(4233(a,1),4984(a,1,1)),flip(a)]. given #5055 (H,wt=18): 5392 T(K(x,y),z) * K(y,x) != u | K(K(x,y),z) = u. [para(4906(a,1),5107(a,1)),flip(b)]. given #5056 (H,wt=11): 5835 K(K(x,y),z) = K(z,K(y,x)). [hyper(5392,a,5793,a)]. given #5057 (H,wt=13): 5837 K(x,K(y,z)) \ 1 = K(x,K(z,y)). [hyper(5284,a,5835,a)]. given #5058 (H,wt=13): 5838 K(x,K(y,z)) * K(x,K(z,y)) = 1. [hyper(71,a,5835,a,b,5268,a),flip(a)]. given #5059 (H,wt=13): 5840 x * K(K(y,z),x) = T(x,K(z,y)). [para(5835(a,2),4887(a,2,2)),flip(a)]. given #5060 (H,wt=11): 5845 T(T(x,K(y,z)),K(z,y)) = x. [hyper(5030,a,5840,a)]. given #5061 (H,wt=11): 5850 T(K(x,y),K(z,y)) = K(x,y). [para(2190(a,1),5845(a,1,1))]. given #5062 (H,wt=14): 5836 K(x,K(y,z)) != u | K(K(z,y),x) = u. [para(5793(a,1),5392(a,1))]. given #5063 (H,wt=14): 5847 T(T(x,K(y,z)),K(z,y)) != u | u = x. [para(5840(a,1),5029(a,1,1))]. given #5064 (H,wt=10): 5854 T(x,K(x,y)) != z | z = x. [para(3137(a,1),5847(a,1,1))]. given #5065 (H,wt=14): 5853 T(K(x,y),K(x,z)) != u | K(x,y) = u. [para(2191(a,1),5847(a,1,1)),flip(b)]. given #5066 (H,wt=14): 5856 T(K(x,y),K(y,z)) != u | K(x,y) = u. [para(5850(a,1),5847(a,1,1)),flip(b)]. given #5067 (H,wt=14): 5857 T(x,(y \ 1) \ 1) != z | T(x,y) = z. [para(3026(a,1),5854(a,1)),flip(b)]. given #5068 (H,wt=14): 5858 T(x,y \ 1) != z | T(x,1 / y) = z. [para(65(a,1),5857(a,1,2,1))]. given #5069 (H,wt=14): 5859 T(x,T(y,y \ 1)) != z | T(x,y) = z. [para(120(a,2),5857(a,1,2))]. given #5070 (H,wt=15): 5839 K(x,y) * K(z,K(y,x)) = T(K(x,y),z). [para(5835(a,1),4887(a,2,2)),flip(a)]. given #5071 (H,wt=15): 5841 K(x,K(y,z)) * K(z,y) = T(K(z,y),x). [para(5835(a,1),4897(a,2,1)),flip(a)]. given #5072 (H,wt=15): 5844 T(K(x,y) \ z,K(y,x)) = z / K(x,y). [hyper(5320,a,5840,a),flip(a)]. given #5073 (H,wt=15): 5846 T(x,K(y,z)) * K(z,y) = K(z,y) * x. [para(5840(a,1),4900(a,1,1))]. given #5074 (H,wt=15): 5851 K(x,y) \ K(z,x) = K(z,x) * K(y,x). [hyper(72,a,5850,a(flip),b,5269,a)]. given #5075 (H,wt=15): 5852 K(x,y) * K(z,y) = K(z,y) * K(x,y). [para(5850(a,1),119(a,1,2))]. given #5076 (H,wt=15): 5864 K(x,y) * K(x,z) = K(x,z) * K(x,y). [para(2191(a,1),5846(a,1,1))]. given #5077 (H,wt=16): 5842 K(x,K(y,z)) \ 1 != u | K(x,K(z,y)) = u. [para(5835(a,1),5116(a,1,1))]. given #5078 (H,wt=14): 5868 K(K(x,y),z) != u | K(z,K(y,x)) = u. [para(5093(a,1),5842(a,1))]. given #5079 (H,wt=16): 5855 T(x,K(y,z)) != u | x * K(K(z,y),x) = u. [para(4853(a,1),5847(a,1,1)),flip(b)]. given #5080 (H,wt=17): 5866 x * (T(x,y) \ K(z,x)) = K(z,x) * K(y,x). [hyper(4910,a,5851,a)]. given #5081 (H,wt=17): 5867 T(x,y) * (x \ K(x,z)) = K(x,z) * K(x,y). [hyper(5618,a,5864,a)]. given #5082 (H,wt=18): 5417 x * T(x \ y,z) != u * y | K(y / x,z) = u. [para(4858(a,1),20(a,1))]. given #5083 (H,wt=18): 5420 x / (y * T(y \ x,z)) != u | K(z,x / y) = u. [para(4858(a,1),5272(a,1,2))]. given #5084 (H,wt=16): 5871 K(x,(y / z) \ 1) != u | K(x,z / y) = u. [para(5701(a,1),5420(a,1))]. given #5085 (H,wt=18): 5445 K(x,T(y / z,z / y)) != u | K(x,y / z) = u. [para(2145(a,2),5441(a,1,2))]. given #5086 (H,wt=18): 5446 K(x,T(y \ z,z \ y)) != u | K(x,y \ z) = u. [para(2278(a,2),5441(a,1,2))]. given #5087 (H,wt=18): 5447 K(x,T(y \ 1,z)) != u | K(x,T(1 / y,z)) = u. [para(2483(a,1),5441(a,1,2))]. given #5088 (H,wt=18): 5462 x * ((y * (x \ 1)) / y) != z | K(y,1 / x) = z. [para(4876(a,2),5443(a,1))]. given #5089 (H,wt=18): 5474 K(x,(y \ 1) * (y * z)) = K(x,L(z,y,y \ 1)). [para(2849(a,1),5466(a,1,2)),flip(a)]. given #5090 (H,wt=18): 5497 T(T(x * K(x * y,x),z),y) = T(R(x,y,x),z). [para(5494(a,1),38(a,1,1)),flip(a)]. given #5091 (H,wt=18): 5498 T(x * K(y \ x,x),y \ 1) = R(x,y \ 1,x). [para(5413(a,1),5494(a,1,1,2))]. given #5092 (H,wt=18): 5500 K(x,(1 / x) * (y * x)) = K(x,L(y,x,x \ 1)). [para(2924(a,1),5005(a,1,2))]. given #5093 (H,wt=18): 5502 x \ T(x * y,y) != y * z | K(x * y,y) = z. [para(5025(a,2),19(a,1))]. given #5094 (H,wt=18): 5516 x \ (K(x,y) * z) != u | K(x,y) * (x \ z) = u. [para(5192(a,1),283(a,1,2)),flip(b)]. given #5095 (H,wt=18): 5522 K(x,y) * T(x,z) != u | K(x,z) * T(x,y) = u. [para(5201(a,2),3268(a,1))]. given #5096 (H,wt=18): 5529 T(x,K(y,z)) != K(z,y) * u | x * K(y,z) = u. [para(5269(a,1),19(a,1))]. given #5097 (H,wt=18): 5535 x * (K(y,x) * (x \ z)) != u | K(y,x) * z = u. [para(5363(a,1),307(a,1))]. given #5098 (H,wt=18): 5542 K(x / y,z) * x != u | y * T(y \ x,z) = u. [para(5369(a,1),5271(a,1,2)),flip(b)]. given #5099 (H,wt=18): 5567 K(x,y) * T(x,z) != K(x,z) * u | T(x,y) = u. [para(5521(a,1),19(a,1))]. given #5100 (H,wt=18): 5593 (x * K(y,x)) * z != u | x * (K(y,x) * z) = u. [para(5587(a,1),219(a,1,2))]. given #5101 (H,wt=18): 5597 T(x,x / y) != z * u | z \ T(x,y \ x) = u. [para(4952(a,1),4891(a,1))]. given #5102 (H,wt=18): 5598 T(x,x / y) != z * u | T(x,y \ x) / u = z. [para(4952(a,1),4892(a,1))]. given #5103 (H,wt=18): 5599 x \ T(x,y) != z * u | z \ K(T(x,y),y) = u. [para(3879(a,1),4921(a,1))]. given #5104 (H,wt=18): 5600 T(x,y \ 1) \ x != z | y * T(y \ 1,x) = z. [para(4821(a,1),4948(a,1))]. given #5105 (H,wt=18): 5602 K(x \ (x / y),x) != z | y * T(y \ 1,x) = z. [para(4823(a,2),4948(a,1))]. given #5106 (H,wt=18): 5603 x \ T(x,y) != z * u | T(z,u) = u \ K(x,y). [para(119(a,1),4958(a,2)),flip(b)]. given #5107 (H,wt=18): 5606 K(x,y) * K(y,x) != z * u | T(z,u) = u \ 1. [para(119(a,1),5108(a,2)),flip(b)]. given #5108 (H,wt=18): 5612 K(x,y) * (x \ z) != u | x \ (K(x,y) * z) = u. [para(5191(a,1),5198(a,1,2))]. given #5109 (H,wt=18): 5613 K(x,y) * T(z,y) != u | T(y,x) \ (z * y) = u. [para(32(a,2),5208(a,1,2))]. given #5110 (H,wt=18): 5614 K(x,y / z) * z != u | T(y / z,x) \ y = u. [para(65(a,1),5208(a,1,2))]. given #5111 (H,wt=18): 5616 x * T(x \ y,z) != u | K(y / x,z) * y = u. [para(4384(a,2),5213(a,1))]. given #5112 (H,wt=18): 5617 x * (K(y,x) * z) != u | K(y,x) * (x * z) = u. [para(5203(a,1),5213(a,1,2))]. given #5113 (H,wt=18): 5619 K(x,y) * (z * x) != u | T(x,y) * T(z,x) = u. [para(119(a,1),5216(a,1,2))]. given #5114 (H,wt=18): 5620 ((x * y) / x) \ (y * z) != u | K(y,x) * z = u. [para(4292(a,2),5254(a,1))]. given #5115 (H,wt=18): 5621 T(x,y) * K(x,z) != u | K(x,y) * T(x,z) = u. [para(4829(a,2),5254(a,1,2))]. given #5116 (H,wt=18): 5630 K(x * ((y \ 1) \ 1),z) != u | K(x * y,z) = u. [para(2822(a,1),5423(a,1,1))]. given #5117 (H,wt=18): 5631 K(x * (1 / y),z) != u | K(x * (y \ 1),z) = u. [para(2837(a,1),5423(a,1,1))]. given #5118 (H,wt=18): 5632 K(x / (y \ 1),z) != u | K(x / (1 / y),z) = u. [para(2851(a,1),5423(a,1,1))]. given #5119 (H,wt=18): 5633 K((x \ 1) \ y,z) != u | K((1 / x) \ y,z) = u. [para(2948(a,1),5423(a,1,1))]. given #5120 (H,wt=18): 5634 K((1 / x) * y,z) != u | K((x \ 1) * y,z) = u. [para(2956(a,1),5423(a,1,1))]. given #5121 (H,wt=18): 5635 K(x \ ((y \ 1) \ 1),z) != u | K(x \ y,z) = u. [para(3836(a,1),5423(a,1,1))]. given #5122 (H,wt=18): 5637 (T(x,y) \ x) * z != u | T(y,x) * (y \ z) = u. [para(4821(a,1),5618(a,1,1))]. given #5123 (H,wt=18): 5638 (x \ T(x,y)) * z != u | T(x,y) * (x \ z) = u. [para(4829(a,1),5618(a,1,1))]. given #5124 (H,wt=18): 5640 x \ R(x,x \ y,x) = K(y,x) * K(x,x \ y). [para(14(a,1),5626(a,1,1,1)),flip(a)]. given #5125 (H,wt=18): 5661 T(x,y * (1 / z)) != u | T(x,y * (z \ 1)) = u. [para(4950(a,1),4890(a,1))]. given #5126 (H,wt=18): 5663 T(x,y) \ T(x,z) != u | K(x,z) * K(y,x) = u. [para(5016(a,1),5254(a,1))]. given #5127 (H,wt=18): 5703 R(K(x / y,z),x / y,u) = K((y / x) \ 1,z). [hyper(236,a,3968,a,b,5699,a),flip(a)]. given #5128 (H,wt=18): 5827 K(x \ y,x) \ x != z | T(x,(y \ x) \ 1) = z. [para(62(a,1),5155(a,1,1,1,2))]. given #5129 (H,wt=18): 5848 T(T(x,K(y,z)),K(z,y) * x) = L(x,K(z,y),x). [para(5840(a,1),5050(a,1,1))]. given #5130 (H,wt=18): 5849 K(x,y) * z != u * K(x,y) | T(z,K(y,x)) = u. [para(5845(a,1),172(a,1,2)),flip(b)]. given #5131 (H,wt=18): 5862 T(K(x,y),z) != K(x,y) * u | K(z,K(y,x)) = u. [para(5839(a,1),19(a,1))]. given #5132 (H,wt=18): 5870 K(x,y) * K(x,z) != u | K(x,z) * K(x,y) = u. [para(5867(a,1),5254(a,1))]. given #5133 (H,wt=18): 5874 T(T(x * K(x * y,x),z),y) = R(T(x,z),y,x). [hyper(236,a,42,a,b,5497,a)]. given #5134 (H,wt=18): 5875 (x * K(y,x)) \ z != u | K(x,y) * (x \ z) = u. [para(5564(a,2),5516(a,1))]. given #5135 (H,wt=18): 5878 ((x * y) / x) * z != u | y * (K(x,y) * z) = u. [para(4854(a,2),5593(a,1,1))]. given #5136 (H,wt=18): 5879 K(x,y) * (y * z) != u | y * (K(x,y) * z) = u. [para(5570(a,1),5593(a,1))]. given #5137 (H,wt=18): 5881 K(x,y \ 1) * y != z | T(1 / y,x) \ 1 = z. [para(5223(a,1),5614(a,1,1))]. given #5138 (H,wt=18): 5884 K(x * (y \ 1),z) != u | K(x * (1 / y),z) = u. [para(65(a,1),5630(a,1,1,2,1))]. given #5139 (H,wt=18): 5887 K(x \ (y \ 1),z) != u | K(x \ (1 / y),z) = u. [para(65(a,1),5635(a,1,1,2,1))]. given #5140 (H,wt=19): 4872 L(x \ T(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [hyper(236,a,3819,a,b,4829,a),flip(a)]. given #5141 (H,wt=17): 5890 L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [para(4829(a,2),4872(a,1,1))]. given #5142 (H,wt=17): 5893 K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). [para(5233(a,1),5890(a,1,1)),flip(a)]. given #5143 (H,wt=19): 4914 L(x,K(y,z),y) = L(x,u / w,(w * (u / w)) \ u). [hyper(236,a,3976,a,b,4904,a)]. given #5144 (H,wt=19): 4942 (x * K(y,x)) * ((y \ 1) \ 1) = ((y \ 1) \ 1) * x. [para(4853(a,1),3027(a,1,2)),flip(a)]. given #5145 (H,wt=19): 4961 (x * y) * z != x * T(y,u) | L(K(y,u),y,x) = z. [para(4887(a,2),436(a,2,2))]. given #5146 (H,wt=19): 4963 x * (L(x,y,z) \ K(x,u)) = L(x,y,z) \ T(x,u). [para(4887(a,2),1210(a,1,2)),flip(a)]. given #5147 (H,wt=19): 5044 (x * y) / ((z * y) / z) = (x / (y * K(z,y))) * y. [para(4854(a,1),1322(a,2,1,2))]. given #5148 (H,wt=19): 5146 R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(2390,a,4823,a)]. given #5149 (H,wt=17): 5900 R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [para(4830(a,1),5146(a,1,1))]. given #5150 (H,wt=17): 5901 K(R(1 / x,y,z) \ 1,u) = R(K(x,u),y,z). [para(4878(a,2),5146(a,1,1)),flip(a)]. given #5151 (H,wt=17): 5903 K(R(x \ 1,y,z) \ 1,u) = R(K(x,u),y,z). [para(3247(a,1),5900(a,1,1)),flip(a)]. given #5152 (H,wt=19): 5147 L(x * T(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [hyper(236,a,2379,a,b,4823,a(flip)),flip(a)]. given #5153 (H,wt=17): 5906 L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [para(4830(a,1),5147(a,1,1))]. given #5154 (H,wt=17): 5909 K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). [para(3247(a,1),5906(a,1,1)),flip(a)]. given #5155 (H,wt=19): 5157 x \ K((x * y) \ 1,z) = y * T(y \ (x \ 1),z). [hyper(72,a,4830,a(flip),b,857,a(flip))]. given #5156 (H,wt=19): 5160 ((x * y) \ x) * (x * y) = x * K(y \ 1,x * y). [para(4830(a,1),887(a,2,2))]. given #5157 (H,wt=19): 5161 K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y). [para(4830(a,1),1098(a,1,1))]. given #5158 (H,wt=19): 5163 x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y. [para(4830(a,1),1364(a,2,1))]. given #5159 (H,wt=19): 5194 (x \ L(x,y,z)) * T(x,u) = K(x,u) * L(x,y,z). [hyper(236,a,4769,a(flip),b,4857,a(flip)),flip(a)]. given #5160 (H,wt=19): 5205 K((x / y) / (y \ 1),z) = (T(x,z) / y) / (x / y). [hyper(74,a,4519,a(flip),b,4859,a(flip)),flip(a)]. given #5161 (H,wt=19): 5225 x \ (y * ((z * (y \ x)) / z)) = K(z,1 / (x \ y)). [hyper(236,a,3799,a,b,4896,a(flip)),flip(a)]. given #5162 (H,wt=19): 5242 K(x,((1 / y) \ z) / z) = K(x,((y \ 1) \ z) / z). [para(3072(a,1),5233(a,1,2)),flip(a)]. given #5163 (H,wt=19): 5297 T(x * (y / x),z) / T(y,z) = K(x,x \ T(y,z)). [hyper(74,a,4615,a,b,4909,a)]. given #5164 (H,wt=19): 5358 T(x,y) \ (z * (x / z)) = K(y,x) * K(z,x / z). [para(250(a,1),5203(a,1,2))]. given #5165 (H,wt=19): 5414 K(((x * y) / x) \ z,z) = K(z * (y \ K(y,x)),z). [para(4984(a,1),5413(a,1,1,2)),flip(a)]. given #5166 (H,wt=19): 5439 K(x * (y / (1 / z)),u) = K(x * (y / (z \ 1)),u). [para(4584(a,1),5425(a,1,1)),flip(a)]. given #5167 (H,wt=19): 5442 K((x * (1 / y)) \ z,u) = K((x * (y \ 1)) \ z,u). [para(4604(a,1),5427(a,1,1))]. given #5168 (H,wt=19): 5453 (x * ((y * (x \ z)) / y)) / z = K(y,(x / z) \ 1). [hyper(236,a,2333,a(flip),b,4876,a(flip)),flip(a)]. given #5169 (H,wt=19): 5456 x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y). [para(4876(a,1),1638(a,1,2))]. given #5170 (H,wt=19): 5485 K(x,y * (z * (1 / u))) = K(x,y * (z * (u \ 1))). [para(4585(a,1),5468(a,1,2))]. given #5171 (H,wt=19): 5486 K(x,y * ((1 / z) \ u)) = K(x,y * ((z \ 1) \ u)). [para(4587(a,1),5468(a,1,2)),flip(a)]. given #5172 (H,wt=19): 5487 K(x,(y / (1 / z)) * u) = K(x,(y / (z \ 1)) * u). [para(3653(a,1),5471(a,1,2))]. given #5173 (H,wt=19): 5489 K(x,(y * (1 / z)) \ u) = K(x,(y * (z \ 1)) \ u). [para(4604(a,1),5471(a,1,2))]. given #5174 (H,wt=19): 5527 K(x \ ((1 / x) \ y),x) = K(x \ ((x \ 1) \ y),x). [para(2990(a,1),5236(a,1,1))]. given #5175 (H,wt=19): 5531 K((x / y) \ z,T(z,y / x)) = K((x / y) \ z,z). [para(4187(a,1),5309(a,1,2))]. given #5176 (H,wt=19): 5540 K(x,(y \ z) / (y \ 1)) * (y \ T(z,x)) = y \ z. [para(928(a,1),5369(a,1,2))]. given #5177 (H,wt=19): 5550 x / (((y \ (x * z)) * y) / z) = K(y,x / (y / z)). [para(1403(a,1),5419(a,1,2))]. given #5178 (H,wt=19): 5563 ((x \ 1) \ y) * K(x * y,y) = T((x \ 1) \ y,y). [para(5560(a,1),4887(a,2,2)),flip(a)]. given #5179 (H,wt=19): 5589 (T(x,y) * K(z,x)) * u = T(x,y) * (K(z,x) * u). [para(5586(a,1),470(a,1,1,1)),flip(a)]. given #5180 (H,wt=19): 5611 x \ R(x,y,x) != z | K(x,y) * K(x * y,x) = z. [para(5396(a,1),5185(a,1,2))]. given #5181 (H,wt=19): 5627 x \ R(x,y,x) != z | K(x * y,x) * K(x,y) = z. [para(5407(a,1),2193(a,1))]. given #5182 (H,wt=19): 5687 x \ T(x * y,z) = y * K((y \ (x \ 1)) \ 1,z). [hyper(941,a,5152,a)]. given #5183 (H,wt=19): 5689 (x * y) * K(((x * y) \ y) \ 1,z) = T(x,z) * y. [hyper(706,a,5152,a),flip(a)]. given #5184 (H,wt=19): 5700 K((x / (x * y)) \ 1,z) * (x * y) = x * T(y,z). [para(13(a,1),5164(a,2,2,1))]. given #5185 (H,wt=19): 5708 ((x * y) \ y) * (x * y) = y * K(x \ 1,x * y). [para(5704(a,1),5081(a,1,2)),flip(a)]. given #5186 (H,wt=19): 5715 K(1 / ((1 / x) / y),z) = (T(y * x,z) / x) / y. [para(1590(a,1),5219(a,1,1)),flip(a)]. given #5187 (H,wt=19): 5718 K(1 / x,y) / (1 / x) = 1 / (K(y,x \ 1) / x). [para(5235(a,1),5334(a,1,2)),flip(a)]. given #5188 (H,wt=19): 5726 K(T((1 / x) * y,z),x) = K(T((x \ 1) * y,z),x). [para(2955(a,1),5373(a,1,1,1))]. given #5189 (H,wt=19): 5727 x * (((x * y) \ (x * T(y,x))) \ 1) = x / K(y,x). [para(119(a,2),5390(a,1,2,1,2))]. given #5190 (H,wt=19): 5735 K(x \ (y * ((z \ 1) \ 1)),u) = K(x \ (y * z),u). [para(2822(a,1),5433(a,1,1,2))]. given #5191 (H,wt=17): 5929 K(x \ (y * ((x \ 1) \ 1)),z) = K(T(y,x),z). [para(32(a,2),5735(a,2,1))]. given #5192 (H,wt=19): 5736 K(x \ (y * (1 / z)),u) = K(x \ (y * (z \ 1)),u). [para(2837(a,1),5433(a,1,1,2))]. given #5193 (H,wt=19): 5738 K(x \ (y * (((y \ z) \ 1) \ 1)),u) = K(x \ z,u). [para(4012(a,1),5433(a,1,1,2))]. given #5194 (H,wt=19): 5740 K(((1 / x) * y) \ z,u) = K(((x \ 1) * y) \ z,u). [para(2955(a,1),5436(a,1,1,1))]. given #5195 (H,wt=19): 5741 K((((x \ 1) \ 1) \ y) \ z,u) = K((x \ y) \ z,u). [para(3000(a,1),5436(a,1,1,1)),flip(a)]. given #5196 (H,wt=19): 5745 K(x,y \ ((1 / z) * u)) = K(x,y \ ((z \ 1) * u)). [para(2955(a,1),5479(a,1,2,2))]. given #5197 (H,wt=19): 5746 K(x,y \ (((z \ 1) \ 1) \ u)) = K(x,y \ (z \ u)). [para(3000(a,1),5479(a,1,2,2)),flip(a)]. given #5198 (H,wt=19): 5748 K(x,y * ((1 / z) * u)) = K(x,y * ((z \ 1) * u)). [para(2955(a,1),5483(a,1,2,2))]. given #5199 (H,wt=19): 5750 K(x,T((1 / y) * z,u)) = K(x,T((y \ 1) * z,u)). [para(2956(a,1),5484(a,1,2,1))]. given #5200 (H,wt=19): 5752 K(x,y / (z / (1 / u))) = K(x,y / (z / (u \ 1))). [para(2861(a,1),5491(a,1,2,2)),flip(a)]. given #5201 (H,wt=19): 5753 K(x,y / (z * (1 / u))) = K(x,y / (z * (u \ 1))). [para(2862(a,1),5491(a,1,2,2))]. given #5202 (H,wt=19): 5765 (x / y) \ ((x / (x / y)) \ (y * z)) = (y \ x) \ z. [hyper(72,a,5520,a,b,5524,a)]. given #5203 (H,wt=19): 5781 (x \ y) * (T(x,x \ y) * z) = (y / x) * (x * z). [para(4906(a,1),5571(a,1,2))]. given #5204 (H,wt=19): 5787 K(x,(y / z) \ 1) * z = z * K(x,(z \ y) \ 1). [para(121(a,1),5648(a,1,2,2,1)),flip(a)]. given #5205 (H,wt=17): 5939 x * K(y,(x \ z) \ 1) = K(y,x / z) * x. [para(5795(a,1),5787(a,1,1)),flip(a)]. given #5206 (H,wt=15): 5940 T(K(x,y / z),y) = K(x,(y \ z) \ 1). [hyper(169,a,5939,a)]. given #5207 (H,wt=19): 5802 (x * y) * (y / (x * y)) = y * K(x * y,x \ 1). [para(5797(a,1),250(a,1,2)),flip(a)]. given #5208 (H,wt=19): 5803 ((x * y) \ y) * K(x * y,x \ 1) = y / (x * y). [para(5797(a,1),4919(a,1,2))]. given #5209 (H,wt=19): 5804 K(x * y,x \ 1) * ((x * y) \ y) = y / (x * y). [para(5797(a,1),4927(a,1,1))]. given #5210 (H,wt=19): 5809 T(x,K(y,z \ 1) / z) = T(x,z \ K(y,z \ 1)). [para(5717(a,1),4520(a,1,2))]. given #5211 (H,wt=19): 5812 T(x,y) \ T(z / (z / x),y) = K(x \ z,T(x,y)). [para(4799(a,2),5754(a,1,2,1))]. given #5212 (H,wt=19): 5843 K(x,K(y,z)) * (K(z,y) * u) = T(K(z,y),x) * u. [para(5835(a,1),4906(a,1,1))]. given #5213 (H,wt=19): 5860 T(x,R(y \ 1,y,z)) != u | T(x,z / (y * z)) = u. [para(2148(a,2),5857(a,1,2))]. given #5214 (H,wt=19): 5865 K(x \ y,z) * (y \ x) = (y \ x) * K(x \ y,z). [para(3074(a,1),5846(a,1,1)),flip(a)]. given #5215 (H,wt=19): 5896 L(x,y,z) \ T(x,x \ 1) = x * (1 / L(x,y,z)). [para(4561(a,1),4963(a,1,2)),flip(a)]. given #5216 (H,wt=19): 5914 (x * y) \ (K(x \ 1,z) * y) = T((x * y) \ y,z). [hyper(72,a,5163,a(flip),b,857,a)]. given #5217 (H,wt=19): 5917 x * (K(x \ 1,y) * (x \ z)) = K(x \ 1,y) * z. [para(5161(a,2),5163(a,1,2))]. given #5218 (H,wt=19): 5921 K((x * ((y \ 1) \ 1)) \ z,u) = K((x * y) \ z,u). [para(62(a,1),5442(a,1,1,1,2)),flip(a)]. given #5219 (H,wt=19): 5928 x * (y * K((y \ (x \ 1)) \ 1,z)) = T(x * y,z). [para(5687(a,1),14(a,1,2))]. given #5220 (H,wt=19): 5945 K(x \ 1,y) * (x * z) = x * (K(x \ 1,y) * z). [para(13(a,1),5917(a,1,2,2)),flip(a)]. given #5221 (H,wt=20): 4975 T(x,y) \ (K(x,y) * (z * x)) = L(T(z,x),x,K(x,y)). [para(4897(a,2),178(a,1,1))]. given #5222 (H,wt=20): 5010 L(T(x,y),T(x,y) \ 1,z) = (z * (K(y,x) / x)) \ z. [para(4832(a,2),2767(a,2,1,2))]. given #5223 (H,wt=20): 5033 R(x / y,y,K(z,x)) \ ((z * x) / z) = y * K(z,x). [para(4854(a,2),464(a,1,2))]. given #5224 (H,wt=20): 5041 L(x * K(y * z,x),z,y) = (y * (z * x)) / (y * z). [para(4854(a,1),807(a,1,1))]. given #5225 (H,wt=20): 5094 L(x * K(y,x),K(x,y),z) = (z * K(x,y)) \ (z * x). [para(5091(a,1),105(a,1,1))]. given #5226 (H,wt=20): 5165 K((x * y) \ 1,x) != z | ((x \ (1 / y)) * x) * y = z. [para(4830(a,1),1453(a,1))]. given #5227 (H,wt=20): 5170 x * T(x \ 1,y) != z * u | z \ K(x \ 1,y) = u. [para(4834(a,1),367(a,1,2))]. given #5228 (H,wt=20): 5197 T(x,y) * (x \ z) != u * w | u \ (K(x,y) * z) = w. [para(4857(a,2),545(a,1))]. given #5229 (H,wt=20): 5199 K(x,y) * (T(x,y) \ z) != u * w | u \ (x \ z) = w. [para(4857(a,1),1024(a,1))]. given #5230 (H,wt=20): 5200 K(x,y) * (T(x,y) \ z) != u * w | (x \ z) / w = u. [para(4857(a,1),1025(a,1))]. given #5231 (H,wt=20): 5248 (1 / (1 / x)) / K(y,x) != z | T(1 / (1 / x),y) = z. [para(5234(a,1),4841(a,1,2))]. given #5232 (H,wt=20): 5275 (K(x,y) \ z) * L(u,z,K(y,x)) = K(y,x) * (z * u). [para(5260(a,2),103(a,1,1))]. given #5233 (H,wt=20): 5276 L(x \ (K(y,z) * u),x,K(z,y)) = (K(z,y) * x) \ u. [para(5260(a,1),227(a,1,1,2))]. given #5234 (H,wt=20): 5277 L(K(x,y) * (z \ u),K(y,x),z) = (z * K(y,x)) \ u. [para(5260(a,1),227(a,1,1))]. given #5235 (H,wt=20): 5321 (x \ y) * K(x,x \ y) != z * u | z \ (y / x) = u. [para(5057(a,1),367(a,1,2))]. given #5236 (H,wt=20): 5325 x * K(y,y \ x) != z * u | z \ (y * (x / y)) = u. [para(5077(a,1),367(a,1,2))]. given #5237 (H,wt=20): 5341 x * (K(y,z) * (T(y,z) \ u)) != w | x * (y \ u) = w. [para(5174(a,1),307(a,1,2,2))]. given #5238 (H,wt=20): 5347 K(x,y) \ (x \ z) != u * w | u \ (T(x,y) \ z) = w. [para(5178(a,1),305(a,1,2))]. given #5239 (H,wt=20): 5359 T(x,y) * (K(y,x) * z) != u * w | u \ (x * z) = w. [para(5203(a,1),367(a,1,2))]. given #5240 (H,wt=20): 5391 L(x,y,z) \ K(x,L(x,u,w) \ 1) = 1 / L(x,y,z). [para(4965(a,2),4561(a,1,2))]. given #5241 (H,wt=15): 5954 T(1 / L(x,y,z),x) = L(x,y,z) \ 1. [para(5391(a,1),4944(a,1,1))]. given #5242 (H,wt=20): 5394 K(L(x \ 1,y,z),u) != w | K(L(1 / x,y,z),u) = w. [para(2700(a,1),5144(a,1,1))]. given #5243 (H,wt=20): 5418 x * T(x \ y,z) != y * u | T(K(y / x,z),y) = u. [para(4858(a,1),169(a,2)),flip(a)]. given #5244 (H,wt=20): 5449 K(T(x,y),T(x,y) \ 1) != z | K(T(x,y),1 / x) = z. [para(3089(a,2),5443(a,1))]. given #5245 (H,wt=20): 5464 (1 / x) * T((1 / x) \ 1,y) != z | x \ T(x,y) = z. [para(4878(a,1),4855(a,1))]. given #5246 (H,wt=20): 5495 T(x * K(y * R(x,z,u),x),y) = R(x,y,R(x,z,u)). [hyper(18,a,1931,a,b,4936,a)]. given #5247 (H,wt=20): 5572 (x * (K(y * z,x) * y)) * z = (y * z) * R(x,y,z). [para(5525(a,1),812(a,1,1))]. given #5248 (H,wt=20): 5605 T(x * L(x \ 1,x,y),y) = T(x,y) * ((x * y) \ y). [para(5604(a,1),1702(a,1,1,2))]. given #5249 (H,wt=14): 5956 L(T(x,y) \ 1,x,y) = (x * y) \ y. [hyper(2095,a,5605,a)]. given #5250 (H,wt=13): 5957 (x * y) \ T(x,y) = (y * x) \ x. [hyper(236,a,4398,a(flip),b,5956,a(flip)),flip(a)]. given #5251 (H,wt=13): 5959 T(x,y) = (x * y) * ((y * x) \ x). [para(5957(a,1),14(a,1,2)),flip(a)]. given #5252 (H,wt=13): 5961 T(x,y) / ((y * x) \ x) = x * y. [para(5957(a,1),62(a,1,2))]. given #5253 (H,wt=15): 5958 ((x \ y) * x) \ x = y \ T(x,x \ y). [hyper(295,a,5957,a),flip(a)]. given #5254 (H,wt=17): 5960 (x * (y / x)) \ (y / x) = y \ T(y / x,x). [para(16(a,1),5957(a,1,1)),flip(a)]. given #5255 (H,wt=15): 5963 (x * (y / x)) \ (y / x) = y \ (x \ y). [para(121(a,1),5960(a,2,2))]. given #5256 (H,wt=20): 5608 x \ (y * T(y \ x,z)) != u | K((x \ y) \ 1,z) = u. [para(1246(a,1),5129(a,1))]. given #5257 (H,wt=20): 5610 x \ (y * T(x,z)) != u | K(x,z) * T(y,T(x,z)) = u. [para(119(a,1),5185(a,1,2))]. given #5258 (H,wt=20): 5639 ((x * y) / x) \ (y * z) != u | T(y,x) * (y \ z) = u. [para(5193(a,2),5618(a,1))]. given #5259 (H,wt=20): 5641 K(x \ y,y) * K(y,x \ 1) = y \ R(y,x \ 1,y). [para(5413(a,1),5626(a,1,1))]. given #5260 (H,wt=20): 5650 x * T(K(x,y \ 1),z) != u | T(x,T(y,z) \ 1) = u. [para(5644(a,1),4890(a,1,2))]. given #5261 (H,wt=20): 5656 L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z). [hyper(18,a,4900,a,b,4937,a),flip(a)]. given #5262 (H,wt=14): 5965 K(x \ 1,L(x,y,z)) = K(x \ 1,x). [hyper(17,a,4738,a(flip),b,5656,a)]. given #5263 (H,wt=20): 5657 (x * L(y,z,u)) / x != w | L(y * K(x,y),z,u) = w. [para(4937(a,1),296(a,1,1)),flip(b)]. given #5264 (H,wt=20): 5658 R(x,y,z) * K(u,R(x,y,z)) = R(x * K(u,x),y,z). [hyper(18,a,4900,a,b,4938,a),flip(a)]. given #5265 (H,wt=20): 5666 L(x * K(y,x),z,u) / L(x,z,u) = K(y,L(x,z,u)). [hyper(74,a,5038,a,b,4902,a(flip))]. given #5266 (H,wt=20): 5667 L(x * K(y,x),z,u) \ L(x,z,u) = K(L(x,z,u),y). [para(5038(a,2),4824(a,2,1)),flip(a)]. given #5267 (H,wt=20): 5668 L(x,y,z) / L(x * K(u,x),y,z) = K(L(x,y,z),u). [para(5038(a,2),5019(a,2,2)),flip(a)]. given #5268 (H,wt=20): 5669 R(x,y,z) \ R(x * K(u,x),y,z) = K(u,R(x,y,z)). [hyper(72,a,5039,a,b,4854,a(flip))]. given #5269 (H,wt=20): 5671 R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y). [para(5039(a,2),4824(a,2,1)),flip(a)]. given #5270 (H,wt=20): 5672 (x \ y) * T(x,y) != z * x | x \ (y * K(x,y)) = z. [para(5052(a,1),20(a,1))]. given #5271 (H,wt=20): 5691 x * T(x \ y,z) != y * u | K((y \ x) \ 1,z) = u. [para(5152(a,2),19(a,1))]. given #5272 (H,wt=20): 5722 K(x \ y,x) * (x \ z) != u | ((x \ y) \ y) \ z = u. [para(5346(a,1),5271(a,1,2)),flip(b)]. given #5273 (H,wt=18): 5972 T(x,x \ y) \ z != u | ((x \ y) \ y) \ z = u. [para(5204(a,1),5722(a,1))]. given #5274 (H,wt=20): 5733 K(x \ y,x) * z != (x \ y) * u | (y / x) \ z = u. [para(5416(a,1),19(a,1))]. given #5275 (H,wt=20): 5755 T(x,y) \ T(x * K(z,x),y) != u | K(z,T(x,y)) = u. [para(5493(a,1),283(a,1,2)),flip(b)]. given #5276 (H,wt=20): 5762 K(x,y) * ((x \ y) * x) != (x \ y) * z | T(x,y) = z. [para(5513(a,2),19(a,1))]. given #5277 (H,wt=20): 5772 K(x,x \ y) * ((x \ y) * z) != u | (y / x) * z = u. [para(5546(a,1),5271(a,1,2)),flip(b)]. given #5278 (H,wt=20): 5786 (x * K(y,x)) * K(x,z) != u | T(x,z) * K(y,x) = u. [para(5584(a,2),3148(a,1))]. given #5279 (H,wt=20): 5799 K(x,R(y / z,z,u) \ 1) = K(x,(z * u) / (y * u)). [para(114(a,2),5795(a,1,2,1))]. given #5280 (H,wt=20): 5811 T(x,y) * K(z,T(x,y)) != u | T(x * K(z,x),y) = u. [para(5754(a,1),216(a,1,2)),flip(b)]. given #5281 (H,wt=20): 5816 (x \ y) * (K(x,x \ y) * z) != u | (y / x) * z = u. [para(5776(a,1),216(a,1,2)),flip(b)]. given #5282 (H,wt=20): 5832 K(x \ y,x) * (y / x) != z * u | z \ (x \ y) = u. [para(5073(a,1),5278(a,1,2))]. given #5283 (H,wt=20): 5861 T(x,R((y \ 1) \ 1,z,u)) != w | T(x,R(y,z,u)) = w. [para(3514(a,2),5857(a,1,2))]. given #5284 (H,wt=20): 5876 (T(x,y / z) \ x) * y != u | z * T(z \ y,x) = u. [para(4821(a,1),5542(a,1,1))]. given #5285 (H,wt=20): 5882 (x / y) \ ((y \ x) * z) != u | K(y \ x,y) * z = u. [para(14(a,1),5620(a,1,1,1))]. given #5286 (H,wt=20): 5883 (x / (x / y)) \ (y * z) != u | K(y,y \ x) * z = u. [para(4206(a,1),5620(a,1,1))]. given #5287 (H,wt=20): 5898 a(1 / R(x,y,z),x,x \ 1) = K(R(x,y,z) \ 1,x). [hyper(236,a,2666,a,b,5146,a(flip)),flip(a)]. given #5288 (H,wt=20): 5941 x * K(y,(x \ z) \ 1) != u * x | K(y,x / z) = u. [para(5939(a,2),20(a,1))]. given #5289 (H,wt=20): 5942 (x * y) * R(1 / x,x,y) = y * K(x * y,x \ 1). [para(159(a,2),5802(a,1,2))]. given #5290 (H,wt=20): 5951 (K(x,y) \ z) * L(u,z,K(y,x)) = K(x,y) \ (z * u). [hyper(236,a,5260,a,b,5275,a)]. given #5291 (H,wt=21): 4813 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * ((y \ x) * y). [para(4804(a,1),1631(a,2,2))]. given #5292 (H,wt=21): 4862 (L(x,y,z) * K(x,u)) * w = L(x,y,z) * (K(x,u) * w). [para(4849(a,1),471(a,1,1,1)),flip(a)]. given #5293 (H,wt=11): 5978 L(x,K(y,z),L(y,u,w)) = x. [hyper(436,a,4862,a)]. given #5294 (H,wt=21): 4894 K(x,y) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(4829(a,2),1099(a,1,1))]. given #5295 (H,wt=21): 4977 (x * K(y,z)) * u != x * T(y,z) | L(y,K(y,z),x) = u. [para(4897(a,2),436(a,2,2))]. given #5296 (H,wt=21): 4978 (x * K(y,z)) * y != u * T(y,z) | R(x,K(y,z),y) = u. [para(4897(a,2),467(a,2,2))]. given #5297 (H,wt=21): 4979 (K(x,y) * z) \ T(x,y) != u | L(z \ x,z,K(x,y)) = u. [para(4897(a,2),784(a,1,2))]. given #5298 (H,wt=21): 5070 ((x * y) * z) / (x * z) != u | R(y * K(x,y),x,z) = u. [para(4900(a,1),475(a,1,1,1))]. given #5299 (H,wt=21): 5118 T(x * K(y,z),x \ K(z,y)) = ((x * K(y,z)) \ 1) \ 1. [para(5102(a,1),3520(a,1,2,2))]. given #5300 (H,wt=19): 5982 T(x * K(y,x),x \ K(x,y)) = (x \ 1) \ K(y,x). [hyper(236,a,5789,a(flip),b,5118,a)]. given #5301 (H,wt=21): 5124 L(T(x,y),z,u) \ L(x,z,u) != w | K(y,L(x,z,u)) = w. [para(40(a,2),4920(a,1,1))]. given #5302 (H,wt=21): 5125 R(T(x,y),z,u) \ R(x,z,u) != w | K(y,R(x,z,u)) = w. [para(42(a,2),4920(a,1,1))]. given #5303 (H,wt=21): 5130 L(x,y,z) \ L(T(x,u),y,z) != w | K(L(x,y,z),u) = w. [para(40(a,2),4956(a,1,2))]. given #5304 (H,wt=21): 5154 (x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z) = x \ T(y,z). [para(4823(a,1),1249(a,1,2))]. given #5305 (H,wt=21): 5166 (x * (y * T(y \ 1,z))) * y = (x * y) * K(y \ 1,z). [para(4830(a,1),1539(a,2,2))]. given #5306 (H,wt=19): 5984 (x * K(y \ 1,z)) * y = (x * y) * K(y \ 1,z). [para(4830(a,1),5166(a,1,1,2))]. given #5307 (H,wt=19): 5986 (x * K(y \ 1,z)) \ ((x * y) * K(y \ 1,z)) = y. [hyper(80,a,5984,a)]. given #5308 (H,wt=19): 5987 (x * K(y \ 1,z)) / y = (x / y) * K(y \ 1,z). [hyper(74,a,89,a(flip),b,5984,a)]. given #5309 (H,wt=17): 5991 (T(x,y \ 1) / y) * K(y \ 1,x) = x / y. [para(4836(a,1),5987(a,1,1)),flip(a)]. given #5310 (H,wt=17): 5992 (T(x,y \ 1) / y) \ (x / y) = K(y \ 1,x). [hyper(80,a,5991,a)]. given #5311 (H,wt=17): 5993 K(x \ 1,(1 / x) \ (y / x)) = K(x \ 1,y). [hyper(236,a,3309,a,b,5992,a(flip)),flip(a)]. given #5312 (H,wt=17): 5994 K(x \ 1,(1 / x) \ y) = K(x \ 1,y * x). [para(15(a,1),5993(a,1,2,2))]. given #5313 (H,wt=17): 5995 K(1 / x,(1 / x) \ y) = K(x \ 1,y * x). [hyper(5393,a,5994,a)]. given #5314 (H,wt=17): 5996 K(x \ 1,(x \ 1) \ y) = K(x \ 1,y * x). [hyper(236,a,5476,a(flip),b,5994,a(flip)),flip(a)]. given #5315 (H,wt=19): 5997 ((1 / x) \ y) * K(x \ 1,y * x) = y / (1 / x). [para(5995(a,1),4903(a,1,2))]. given #5316 (H,wt=19): 5998 (1 / x) * (y / (1 / x)) = y * K(x \ 1,y * x). [para(5995(a,1),5079(a,1,2)),flip(a)]. given #5317 (H,wt=19): 6000 (x \ 1) * (y / (x \ 1)) = y * K(x \ 1,y * x). [para(5996(a,1),5079(a,1,2)),flip(a)]. given #5318 (H,wt=19): 6001 x * K((y \ 1) \ 1,x * (y \ 1)) = y * (x / y). [hyper(236,a,2987,a(flip),b,6000,a(flip))]. given #5319 (H,wt=15): 6003 x * K(y,x * (y \ 1)) = y * (x / y). [para(3247(a,1),6001(a,1,2))]. given #5320 (H,wt=15): 6004 x * K(y,x * (1 / y)) = y * (x / y). [para(5472(a,2),6003(a,1,2))]. given #5321 (H,wt=13): 6005 K(x,y * (1 / x)) = K(x,x \ y). [hyper(17,a,5079,a,b,6004,a)]. given #5322 (H,wt=15): 6006 K(x * (1 / y),y) = 1 / K(y,y \ x). [para(6005(a,1),5102(a,1,2)),flip(a)]. given #5323 (H,wt=13): 6007 K(x * (1 / y),y) = K(y \ x,y). [hyper(236,a,5102,a(flip),b,6006,a)]. given #5324 (H,wt=13): 6008 K(x * (y \ 1),y) = K(y \ x,y). [hyper(5631,a,6007,a)]. given #5325 (H,wt=15): 6010 x * K(x * (1 / y),y) = (y \ x) * y. [para(6007(a,2),249(a,1,2))]. given #5326 (H,wt=16): 6011 K(R(x,y,y \ 1),y) = K(y \ (y * x),y). [hyper(236,a,5000,a(flip),b,6008,a(flip)),flip(a)]. given #5327 (H,wt=12): 6014 K(R(x,y,y \ 1),y) = K(x,y). [hyper(236,a,660,a(flip),b,6011,a)]. given #5328 (H,wt=17): 6009 K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1). [para(62(a,1),6007(a,1,1,2)),flip(a)]. given #5329 (H,wt=19): 6002 ((x * (y \ 1)) \ x) * (x * (y \ 1)) = y * (x / y). [hyper(236,a,5160,a,b,6001,a(flip)),flip(a)]. given #5330 (H,wt=19): 6012 ((x \ 1) \ y) * (x \ 1) = y * K(y * x,x \ 1). [para(62(a,1),6010(a,1,2,1,2)),flip(a)]. given #5331 (H,wt=19): 6013 ((1 / x) \ y) * (1 / x) = y * K(y * x,1 / x). [para(5426(a,1),6010(a,1,2)),flip(a)]. given #5332 (H,wt=17): 6017 K(x / (1 / y),1 / y) = K(x * y,1 / y). [hyper(5332,a,6013,a)]. given #5333 (H,wt=20): 5990 R(T(x,y * K(x \ 1,z)),y,K(x \ 1,z)) = T(x,y). [para(5986(a,1),984(a,1,1)),flip(a)]. given #5334 (H,wt=21): 5243 ((x \ 1) \ 1) * K(y,(x \ 1) \ 1) = (x \ 1) \ K(y,x). [para(5233(a,1),3170(a,2,2))]. given #5335 (H,wt=21): 5255 K(x,y) * (L(z,u,w) * x) = T(x,y) * L(T(z,x),u,w). [para(181(a,1),4906(a,1,2))]. given #5336 (H,wt=21): 5264 K(x,y) * R(K(y,x),z \ 1,z) = a(K(y,x),z \ 1,z). [hyper(3631,a,5260,a),flip(a)]. given #5337 (H,wt=21): 5265 K(x,y) * R(K(y,x),z,z \ 1) = a(K(y,x),z,z \ 1). [hyper(690,a,5260,a),flip(a)]. given #5338 (H,wt=21): 5279 T((x \ K(y,z)) \ 1,K(z,y) * x) = (x \ K(y,z)) \ 1. [para(5260(a,1),539(a,1,2))]. given #5339 (H,wt=21): 5377 K(x,y) \ T(z,z \ u) = (K(x,y) \ 1) * ((z \ u) \ u). [hyper(909,a,5282,a),flip(a)]. given #5340 (H,wt=21): 5406 L(x * T(x \ 1,y),x \ 1,y) != z | K(1 / x,y) = z. [para(3234(a,2),5393(a,1))]. given #5341 (H,wt=21): 5437 K((x * (K(y,y \ 1) * z)) \ u,w) = K((x * z) \ u,w). [para(4610(a,2),5424(a,1,1))]. given #5342 (H,wt=21): 5451 x * (y * ((z * (y \ (x \ 1))) / z)) = K(z,(x * y) \ 1). [hyper(2234,a,4876,a)]. given #5343 (H,wt=17): 6019 x * (y * ((x \ 1) / y)) = K(y,(x * y) \ 1). [para(14(a,1),5451(a,1,2,2,1))]. given #5344 (H,wt=21): 5454 (x * y) * ((z * ((x * y) \ x)) / z) = x * K(z,y \ 1). [para(4876(a,1),1122(a,2,2))]. given #5345 (H,wt=19): 6020 (x * y) * (x / (x * y)) = x * K(x * y,y \ 1). [para(14(a,1),5454(a,1,2,1))]. given #5346 (H,wt=21): 5457 K(x,y \ 1) * (y \ z) = z * ((x * (z \ (y \ z))) / x). [para(4876(a,1),2039(a,1,1))]. given #5347 (H,wt=21): 5458 (x * y) * ((z * ((x * y) \ y)) / z) = K(z,x \ 1) * y. [para(4876(a,1),2175(a,2,1))]. given #5348 (H,wt=21): 5459 x * (y * ((z * (y \ (x \ y))) / z)) = K(z,x \ 1) * y. [para(4876(a,1),2178(a,2,1))]. given #5349 (H,wt=19): 6022 x * (K(y,x \ 1) * (x \ z)) = K(y,x \ 1) * z. [para(5457(a,2),5459(a,1,2))]. given #5350 (H,wt=19): 6023 K(x,y \ 1) * (y * z) = y * (K(x,y \ 1) * z). [para(13(a,1),6022(a,1,2,2)),flip(a)]. given #5351 (H,wt=21): 5463 ((1 / x) * y) * T(((1 / x) * y) \ y,z) = K(x,z) * y. [para(4878(a,2),1347(a,2,1))]. given #5352 (H,wt=21): 5490 K(x,R(1 / y,z,u) \ w) = K(x,R(y \ 1,z,u) \ w). [para(4606(a,1),5471(a,1,2))]. given #5353 (H,wt=21): 5511 K(x \ y,x) * ((y / x) \ z) = ((x * (y / x)) / x) \ z. [para(4997(a,1),5179(a,2,1)),flip(a)]. given #5354 (H,wt=21): 5549 x / (y * (z * T(z \ (y \ x),u))) = K(u,x / (y * z)). [para(857(a,1),5419(a,1,2))]. given #5355 (H,wt=21): 5552 K(x * R(1 / y,z,u),w) = K(x * R(y \ 1,z,u),w). [para(3510(a,1),5426(a,1,1,2))]. given #5356 (H,wt=21): 5554 K(((x * K(y,x)) \ 1) * z,u) = K((K(x,y) / x) * z,u). [para(5334(a,1),5431(a,1,1,1)),flip(a)]. given #5357 (H,wt=19): 6028 K((K(x,y) / x) * z,u) = K((x \ K(x,y)) * z,u). [para(5113(a,1),5554(a,1,1,1)),flip(a)]. given #5358 (H,wt=21): 5590 (R(x,y,z) * K(u,x)) * w = R(x,y,z) * (K(u,x) * w). [para(5586(a,1),472(a,1,1,1)),flip(a)]. given #5359 (H,wt=21): 5643 ((x / y) * (y * K(y \ x,y))) * (x / y) = x * (y \ x). [para(4809(a,2),4221(a,1,1))]. given #5360 (H,wt=21): 5674 K(x \ 1,x) * (y * K(x,z)) = y * ((x \ 1) * T(x,z)). [para(5063(a,1),4540(a,2,2))]. given #5361 (H,wt=21): 5682 K(((1 / x) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [para(1605(a,1),5149(a,1,1)),flip(a)]. given #5362 (H,wt=21): 5684 x \ (((y \ (x * z)) * y) / z) = K((x \ (y / z)) \ 1,y). [para(1403(a,1),5150(a,1,2))]. given #5363 (H,wt=21): 5686 ((x \ (y / z)) * x) * z = y * K((y \ (x * z)) \ 1,x). [hyper(1453,a,5152,a)]. given #5364 (H,wt=21): 5696 K(((1 / x) / (y / x)) \ 1,z) * (y / x) = T(y,z) / x. [hyper(236,a,1605,a(flip),b,5164,a)]. given #5365 (H,wt=21): 5697 K(((x \ 1) / (x \ y)) \ 1,z) * (x \ y) = x \ T(y,z). [hyper(236,a,928,a(flip),b,5164,a)]. given #5366 (H,wt=21): 5711 R(K(x / y,z),x / y,u) != w | K((y / x) \ 1,z) = w. [para(3968(a,2),5707(a,1))]. given #5367 (H,wt=21): 5721 T(T(1 / ((x * y) \ x),z),y) = T(1 / ((x * y) \ x),z). [para(5339(a,1),38(a,1,1)),flip(a)]. given #5368 (H,wt=21): 5739 K(x \ R(1 / y,z,u),w) = K(x \ R(y \ 1,z,u),w). [para(3719(a,1),5434(a,1,1,2))]. given #5369 (H,wt=21): 5759 K(x \ y,x) * T(z,x \ y) = (y / x) \ (z * (x \ y)). [hyper(236,a,116,a(flip),b,5507,a(flip)),flip(a)]. given #5370 (H,wt=21): 5760 K(x,1 / x) * ((x \ y) * z) = ((1 / (1 / x)) \ y) * z. [para(5508(a,2),3599(a,1,1)),flip(a)]. given #5371 (H,wt=21): 5767 K(x \ R(x,y,z),x) = (u \ 1) * T(u,R(u \ 1,w,v5)). [hyper(236,a,3702,a,b,5766,a(flip)),flip(a)]. given #5372 (H,wt=21): 5780 K(x,y \ 1) * ((x \ (y \ x)) * z) = ((y \ x) / x) * z. [para(5078(a,1),5568(a,1,1))]. given #5373 (H,wt=21): 5784 (x \ y) * (y / T(x \ y,y)) = ((y * (x \ y)) / y) * x. [hyper(536,a,5576,a),flip(a)]. given #5374 (H,wt=21): 5813 T(x,y) \ T(x * K(x * z,x),y) = K(z * x,T(x,y)). [para(5559(a,1),5754(a,1,2,1,2))]. given #5375 (H,wt=15): 6036 K(x * y,T(y,z)) = K(y * x,T(y,z)). [hyper(5755,a,5813,a),flip(a)]. given #5376 (H,wt=21): 5820 K(R(x,y,z),x \ R(x,u,w)) = R(x,y,z) \ R(x,y,z). [para(3697(a,1),4889(a,1,2,1)),flip(a)]. given #5377 (H,wt=13): 6037 K(R(x,y,z),x \ R(x,u,w)) = 1. [hyper(236,a,52,a(flip),b,5820,a)]. given #5378 (H,wt=21): 5894 K(L(x \ 1,y,z) \ 1,u) * w = L(K(u,x),y,z) \ w. [para(5893(a,1),5260(a,1,1)),flip(a)]. given #5379 (H,wt=17): 6039 L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w. [para(5909(a,1),5894(a,1,1)),flip(a)]. given #5380 (H,wt=15): 6040 L(K(x,y),z,u) \ 1 = L(K(y,x),z,u). [hyper(4036,a,6039,a)]. given #5381 (H,wt=17): 6041 L(K(x,y),z,u) * (L(K(y,x),z,u) * w) = w. [hyper(306,a,6039,a),flip(a)]. given #5382 (H,wt=18): 6042 L(K(x,y),z,u) \ 1 != w | L(K(y,x),z,u) = w. [para(6039(a,2),83(a,1)),flip(b)]. given #5383 (H,wt=18): 6043 1 / L(K(x,y),z,u) != w | L(K(y,x),z,u) = w. [para(6040(a,1),294(a,1,2)),flip(b)]. given #5384 (H,wt=20): 6044 L(K(x,y),z,u) * w != v5 | L(K(y,x),z,u) * v5 = w. [para(6041(a,1),19(a,1)),flip(a)]. given #5385 (H,wt=20): 6045 L(K(x,y),z,u) \ w != v5 | L(K(y,x),z,u) * w = v5. [para(6041(a,1),283(a,1,2)),flip(b)]. given #5386 (H,wt=21): 5905 K(x,R(y \ 1,z,u) \ 1) * w = R(K(y,x),z,u) \ w. [para(5903(a,1),5260(a,1,1)),flip(a)]. given #5387 (H,wt=21): 5910 K(L(T(1 / x,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). [para(5676(a,1),5906(a,1,1)),flip(a)]. given #5388 (H,wt=21): 5911 x \ T(x * (y \ 1),z) = y \ K((y * (x \ 1)) \ 1,z). [hyper(236,a,877,a(flip),b,5157,a),flip(a)]. given #5389 (H,wt=21): 5912 K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),T(x,z)). [para(3239(a,1),5161(a,1,1))]. given #5390 (H,wt=19): 6048 x * T(x \ (y \ x),T(y,z)) = ((y \ 1) \ 1) \ x. [hyper(5722,a,5912,a),flip(a)]. given #5391 (H,wt=21): 5913 K(x \ 1,y) * (x \ K(x,z)) = K(x,z) * T(x \ 1,y). [para(4035(a,1),5161(a,2,2,1))]. given #5392 (H,wt=21): 5918 K(((x \ 1) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [hyper(5707,a,5205,a)]. given #5393 (H,wt=21): 5924 x * ((x \ y) * K(z,x \ y)) = y * K(z,(y \ x) \ 1). [hyper(236,a,5028,a(flip),b,5456,a),flip(a)]. given #5394 (H,wt=21): 5927 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z / (y \ 1))). [para(4673(a,1),5550(a,1,2))]. given #5395 (H,wt=21): 5938 K(x,y \ K(y,z)) * z = z * K(x,(z \ (z * y)) \ 1). [para(4984(a,1),5787(a,1,1,2))]. given #5396 (H,wt=17): 6049 K(x,y \ K(y,z)) * z = z * K(x,y \ 1). [para(13(a,1),5938(a,2,2,2,1))]. given #5397 (H,wt=20): 6050 x * K(y,z \ 1) != u * x | K(y,z \ K(z,x)) = u. [para(6049(a,1),20(a,1))]. given #5398 (H,wt=21): 5944 T((x * y) \ y,T(x,z)) = (x * y) \ (K(x \ 1,x) * y). [para(3239(a,1),5914(a,1,2,1)),flip(a)]. given #5399 (H,wt=17): 6051 T((x * y) \ y,T(x,z)) = T((x * y) \ y,x). [hyper(236,a,5914,a(flip),b,5944,a)]. given #5400 (H,wt=21): 5979 (K(x,y) * L(x,z,u)) * w = L(x,z,u) * (K(x,y) * w). [para(3256(a,1),4862(a,1,1))]. given #5401 (H,wt=21): 5980 (L(x,y,z) * K(x,u)) \ w = K(u,x) * (L(x,y,z) \ w). [hyper(236,a,5277,a(flip),b,5978,a(flip)),flip(a)]. given #5402 (H,wt=21): 6029 (K(x,y) * R(y,z,u)) * w = R(y,z,u) * (K(x,y) * w). [para(3147(a,1),5590(a,1,1))]. given #5403 (H,wt=21): 6031 x * K((x \ (y * z)) \ 1,y) = z * ((y \ (z \ x)) * y). [hyper(4676,a,5686,a),flip(a)]. given #5404 (H,wt=17): 6053 x * ((y \ (x \ y)) * y) = y * K(x \ 1,y). [para(13(a,1),6031(a,1,2,1,1)),flip(a)]. given #5405 (H,wt=21): 6046 x * (y \ K((y * (x \ 1)) \ 1,z)) = T(x * (y \ 1),z). [para(5911(a,1),14(a,1,2))]. given #5406 (H,wt=21): 6047 x * (y \ T(y * (x \ 1),z)) = K((x * (y \ 1)) \ 1,z). [para(5911(a,2),14(a,1,2))]. given #5407 (H,wt=22): 4980 T(x,y) / R(x,z,u) != w | (K(x,y) / R(x,z,u)) * x = w. [para(4897(a,2),1928(a,1,1))]. given #5408 (H,wt=22): 4987 L(T(x \ y,z) \ 1,x \ y,x) = y \ (x * K(z,x \ y)). [para(4828(a,2),104(a,1,2,2)),flip(a)]. given #5409 (H,wt=22): 5015 (x * T(y,z)) * (y \ K(z,y)) = R(x,T(y,z),T(y,z) \ 1). [para(4833(a,1),189(a,1,2))]. given #5410 (H,wt=22): 5061 x * (T(x,y) \ K(z,x)) != u | T(x,y) \ ((z * x) / z) = u. [para(4877(a,2),1023(a,1,2,2))]. given #5411 (H,wt=17): 6057 T(x,y) \ ((z * x) / z) = K(z,x) * K(y,x). [hyper(5061,a,5866,a)]. given #5412 (H,wt=22): 5068 T(x,y) * K(y * R(x,z,u),T(x,y)) = R(x,y,R(x,z,u)). [hyper(18,a,1931,a,b,4900,a)]. given #5413 (H,wt=22): 5253 K(R(x,y,z),u) * (R(x,y,z) * w) = R(T(x,u),y,z) * w. [para(42(a,2),4906(a,2,1))]. given #5414 (H,wt=22): 5348 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) = K(w,R(x,y,z)). [para(42(a,2),5187(a,1,2,1))]. given #5415 (H,wt=22): 5349 (L(x,y,z) \ u) / (L(T(x,w),y,z) \ u) = K(L(x,y,z),w). [para(40(a,2),5189(a,1,2,1))]. given #5416 (H,wt=22): 5353 L(T(x,y),z,u) \ (L(x,z,u) * w) = K(y,L(x,z,u)) * w. [para(40(a,2),5203(a,1,1))]. given #5417 (H,wt=22): 5383 T(T(x,y),K(y,x) * z) != u | (K(y,x) * z) \ (x * z) = u. [para(5354(a,1),280(a,1,1))]. given #5418 (H,wt=22): 5386 R(K(x,y),x / y,z) \ ((x / T(y,x)) * z) = (x / y) * z. [para(5368(a,1),143(a,1,2,1))]. given #5419 (H,wt=22): 5505 L(x,y,z) \ K(x,L(x,y,z) \ 1) = (L(x,y,z) \ x) / x. [hyper(74,a,1211,a(flip),b,5071,a),flip(a)]. given #5420 (H,wt=15): 6059 (L(x,y,z) \ x) / x = 1 / L(x,y,z). [hyper(236,a,5391,a(flip),b,5505,a(flip))]. given #5421 (H,wt=15): 6061 (1 / L(x,y,z)) * x = L(x,y,z) \ x. [para(6059(a,1),16(a,1,1))]. given #5422 (H,wt=13): 6062 x / L(x,y,z) = L(x,y,z) \ x. [hyper(1668,a,6061,a)]. given #5423 (H,wt=13): 6066 (L(x,y,z) \ x) \ x = L(x,y,z). [para(6062(a,1),65(a,1,1))]. given #5424 (H,wt=16): 6067 x / L(x,y,z) != u | L(x,y,z) \ x = u. [para(6066(a,1),294(a,1,2)),flip(b)]. given #5425 (H,wt=18): 6064 L(x,y,x / (y * x)) \ x = (x / (y * x)) * y. [hyper(779,a,6062,a),flip(a)]. given #5426 (H,wt=20): 6063 L(x,y,z) \ x != x * u | T(1 / L(x,y,z),x) = u. [para(6061(a,1),169(a,2)),flip(a)]. given #5427 (H,wt=22): 5536 (K(x,y) * z) \ (y * (K(x,y) * z)) = L(T(y,z),z,K(x,y)). [para(5363(a,1),178(a,1,2))]. given #5428 (H,wt=16): 6068 L(T(x,y),y,K(z,x)) = T(x,K(z,x) * y). [hyper(284,a,5536,a),flip(a)]. given #5429 (H,wt=19): 6069 L(T(x,y),y,K(z,x)) != u | T(x,K(z,x) * y) = u. [para(5536(a,1),284(a,1))]. given #5430 (H,wt=22): 5557 K(((x \ 1) \ 1) \ y,(z \ 1) \ 1) != u | K(x \ y,z) = u. [para(5432(a,2),5441(a,1))]. given #5431 (H,wt=18): 6070 K(((x \ 1) \ 1) \ y,z) != u | K(x \ y,z) = u. [para(5233(a,1),5557(a,1))]. given #5432 (H,wt=16): 6072 K(x * (y \ 1),x) != z | K(y \ x,x) = z. [para(5553(a,1),6070(a,1))]. given #5433 (H,wt=22): 5577 R(K(x,y) \ y,y \ 1,y) = (K(x,y) \ 1) * ((y \ 1) \ 1). [para(5545(a,1),2795(a,1,1)),flip(a)]. given #5434 (H,wt=20): 6073 R(K(x,y) \ y,y \ 1,y) = K(x,y) \ ((y \ 1) \ 1). [hyper(236,a,5282,a(flip),b,5577,a)]. given #5435 (H,wt=22): 5607 x * (y * T(y \ (x \ 1),z)) != u | K((x * y) \ 1,z) = u. [para(857(a,1),5129(a,1))]. given #5436 (H,wt=17): 6076 x * ((y \ (x \ 1)) * y) = K((x * y) \ 1,y). [hyper(5607,a,161,a),flip(a)]. given #5437 (H,wt=21): 6075 (x * T(x \ y,z)) * (y \ 1) = K((x * (y \ 1)) \ 1,z). [hyper(5607,a,1413,a),flip(a)]. given #5438 (H,wt=15): 6078 K((x * (y \ 1)) \ 1,y) = K(x \ y,y). [hyper(236,a,5218,a(flip),b,6075,a(flip))]. given #5439 (H,wt=17): 6080 x * (y \ K(y \ x,x)) = T(x * (y \ 1),x). [para(6078(a,1),6046(a,1,2,2))]. given #5440 (H,wt=22): 5609 L(x * T(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(2381(a,1),5129(a,1))]. given #5441 (H,wt=20): 6082 L(K(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(4830(a,1),5609(a,1,1))]. given #5442 (H,wt=22): 5622 T(x,y) * (T(x,z) \ u) != w | K(x,y) * (K(z,x) * u) = w. [para(5196(a,1),5254(a,1,2))]. given #5443 (H,wt=22): 5645 T(x \ T(x,y \ 1),z) != u | x \ T(x,T(y,z) \ 1) = u. [para(4882(a,2),4855(a,1))]. given #5444 (H,wt=22): 5714 (x \ y) * T((x \ y) \ y,z) != y * u | T(K(x,z),y) = u. [para(5190(a,2),169(a,2)),flip(a)]. given #5445 (H,wt=22): 5719 T(K(x * (1 / y),y \ 1) / y,x) = R(1 / y,x,1 / y). [para(5235(a,1),5037(a,1,1))]. given #5446 (H,wt=22): 5877 K(x \ 1,y) * (x \ z) != u | z * T(z \ (x \ z),y) = u. [para(5706(a,1),5542(a,1,1))]. given #5447 (H,wt=22): 5880 x \ ((y \ x) / ((y \ x) / x)) != z | y * T(y \ 1,x) = z. [para(4076(a,2),5600(a,1))]. given #5448 (H,wt=22): 5885 K(x * T((y \ 1) \ 1,z),u) != w | K(x * T(y,z),u) = w. [para(2479(a,1),5630(a,1,1,2))]. given #5449 (H,wt=22): 5888 K(x,x \ y) * (x / y) != z | T(1 / (x / y),x) \ 1 = z. [para(5326(a,1),5881(a,1,1))]. given #5450 (H,wt=22): 5902 K(R(x,y,z) \ 1,u) * (y * z) = (K(x \ 1,u) * y) * z. [para(5900(a,1),113(a,1,1))]. given #5451 (H,wt=22): 5907 (x * y) * K(L(z,y,x) \ 1,u) = x * (y * K(z \ 1,u)). [para(5906(a,1),103(a,1,2))]. given #5452 (H,wt=22): 5930 K(((x \ 1) * (x * y)) \ z,u) = K(L(y,x,x \ 1) \ z,u). [para(2923(a,1),5740(a,1,1,1)),flip(a)]. given #5453 (H,wt=22): 5931 K(x,y \ ((z \ 1) * (z * u))) = K(x,y \ L(u,z,z \ 1)). [para(2923(a,1),5745(a,1,2,2)),flip(a)]. given #5454 (H,wt=22): 5932 K(x,y * ((z \ 1) * (z * u))) = K(x,y * L(u,z,z \ 1)). [para(2923(a,1),5748(a,1,2,2)),flip(a)]. given #5455 (H,wt=22): 5935 a(x \ y,(x \ y) \ y,z) = ((y / x) * (x * z)) \ (y * z). [para(5781(a,1),846(a,1,1)),flip(a)]. given #5456 (H,wt=17): 6088 a(x \ y,(x \ y) \ y,z) = a(y / x,x,z). [hyper(236,a,94,a(flip),b,5935,a)]. given #5457 (H,wt=17): 6089 a(x \ y,T(x,x \ y),z) = a(y / x,x,z). [hyper(236,a,1567,a,b,6088,a(flip)),flip(a)]. given #5458 (H,wt=22): 5936 K(x,(y / z) \ 1) * z != z * u | K(x,(z \ y) \ 1) = u. [para(5787(a,2),19(a,1))]. given #5459 (H,wt=22): 5937 x * K(y,(x \ z) \ 1) != u * x | K(y,(z / x) \ 1) = u. [para(5787(a,1),20(a,1))]. given #5460 (H,wt=22): 5943 K(x \ y,z) * (y \ x) != (y \ x) * u | K(x \ y,z) = u. [para(5865(a,2),19(a,1))]. given #5461 (H,wt=22): 5967 (x * y) * K(z \ 1,L(z,u,w)) = x * (y * K(z \ 1,z)). [para(5965(a,2),4482(a,1,2))]. given #5462 (H,wt=22): 5975 (x \ y) * (T(x,x \ y) * z) != u | (y / x) * (x * z) = u. [para(4906(a,1),5816(a,1,2))]. given #5463 (H,wt=22): 5977 (x * y) * L(z,y * x,K(x,y)) = K(y,x) \ ((y * x) * z). [para(4815(a,1),5951(a,1,1))]. given #5464 (H,wt=22): 5981 K(x,y) * ((x \ 1) \ y) != z | (y \ ((x \ 1) \ y)) * y = z. [para(4894(a,2),220(a,1))]. given #5465 (H,wt=22): 5999 K(x \ 1,y * x) * ((1 / x) \ y) != z | y / (1 / x) = z. [para(5995(a,1),5401(a,1,1))]. given #5466 (H,wt=22): 6025 x \ (K(y,x \ 1) * z) != u | K(y,x \ 1) * (x \ z) = u. [para(6022(a,1),283(a,1,2)),flip(b)]. given #5467 (H,wt=22): 6071 K(T((x \ 1) \ 1,y) \ z,u) != w | K(T(x,y) \ z,u) = w. [para(2479(a,1),6070(a,1,1,1))]. given #5468 (H,wt=18): 6092 T(K(x \ 1,y),z) != u | K(T(x,z) \ 1,y) = u. [para(5677(a,1),6071(a,1))]. given #5469 (H,wt=22): 6083 T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,1 / y). [para(5428(a,1),5719(a,1,1,1))]. given #5470 (H,wt=22): 6093 T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,y \ 1). [hyper(236,a,4488,a(flip),b,6083,a)]. given #5471 (H,wt=23): 4929 K(x,y) * z != y * L(u,T(y,x),K(x,y)) | T(y,x) * u = z. [para(4845(a,1),437(a,1,1)),flip(a)]. given #5472 (H,wt=23): 4982 K(L(x,y,z),z * y) * (z * (y * x)) = L(x,y,z) * (z * y). [para(103(a,1),4817(a,1,2))]. given #5473 (H,wt=23): 5011 (K(x,y) / y) * L(T(y,x),z,u) = T(y,x) \ L(T(y,x),z,u). [para(4832(a,2),4767(a,1,1))]. given #5474 (H,wt=23): 5017 T(x,y) * L(x \ K(y,x),z,u) = T(x * L(x \ 1,z,u),y). [para(4833(a,1),2092(a,1,2,1))]. given #5475 (H,wt=23): 5031 ((x * y) * z) / R(x,y,z) = (y * z) * K(R(x,y,z),y * z). [para(113(a,1),4854(a,1,1))]. given #5476 (H,wt=23): 5045 ((x * K(y * z,x)) * y) * z != u | (y * z) * R(x,y,z) = u. [para(4854(a,1),980(a,1,1,1))]. given #5477 (H,wt=23): 5054 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(y,(x * z) / x). [para(915(a,1),4875(a,2,1)),flip(a)]. given #5478 (H,wt=23): 5065 (x * T(y,z)) \ (x * K(y,z)) != u | L(y \ 1,T(y,z),x) = u. [para(4881(a,2),447(a,1,2,2))]. given #5479 (H,wt=23): 5067 K(x * y,x \ (1 / y)) / (((x * y) \ 1) \ 1) = 1 / (x * y). [para(3520(a,1),4885(a,1,2))]. given #5480 (H,wt=19): 6096 (x * y) \ K(x * y,x \ (1 / y)) = 1 / (x * y). [hyper(236,a,5380,a(flip),b,5067,a(flip)),flip(a)]. given #5481 (H,wt=23): 5072 x / ((y * K(x,y)) * ((x \ 1) \ 1)) = (1 / (1 / x)) / (x * y). [para(4900(a,1),4680(a,1,2)),flip(a)]. given #5482 (H,wt=19): 6098 (1 / (1 / x)) / (x * y) = x / (((x \ 1) \ 1) * y). [para(4942(a,1),5072(a,1,2)),flip(a)]. given #5483 (H,wt=23): 5246 K(x,L(L(1 / y,z,u),w,v5)) = K(x,L(L(y \ 1,z,u),w,v5)). [para(2705(a,1),5234(a,1,2))]. given #5484 (H,wt=23): 5302 T(x,y * K(x,y)) / (T(x,y) * y) = x / ((y * K(x,y)) * x). [para(4924(a,1),4171(a,1,2))]. given #5485 (H,wt=19): 6100 T(x,y) / (T(x,y) * y) = x / ((y * K(x,y)) * x). [para(4945(a,1),5302(a,1,1))]. given #5486 (H,wt=15): 6101 T(x,y) / (T(x,y) * y) = x / (x * y). [para(4900(a,1),6100(a,2,2))]. given #5487 (H,wt=15): 6102 (x / (x * y)) \ T(x,y) = T(x,y) * y. [para(6101(a,1),65(a,1,1))]. given #5488 (H,wt=23): 5381 (x \ K(x,y)) * T((x \ 1) \ 1,z) = T(x,z) * (x \ K(x,y)). [para(5311(a,1),180(a,1,2,1))]. given #5489 (H,wt=21): 6103 (x \ K(x,y)) * T((x \ 1) \ 1,z) = K(x,y) * K(x,z). [hyper(236,a,5867,a(flip),b,5381,a)]. given #5490 (H,wt=23): 5565 ((1 / x) * K(y,1 / x)) \ z = K(x \ 1,y) * ((1 / x) \ z). [para(3244(a,1),5510(a,2,1))]. given #5491 (H,wt=21): 6105 K(x \ 1,y) * ((1 / x) \ z) = (K(y,x \ 1) / x) \ z. [para(5235(a,1),5565(a,1,1)),flip(a)]. given #5492 (H,wt=17): 6106 (K(x * y,y \ 1) / y) \ x = x / (1 / y). [hyper(5999,a,6105,a),flip(a)]. given #5493 (H,wt=23): 5681 (x * (y * T(y \ (x \ z),u))) / z = K(((x * y) / z) \ 1,u). [para(857(a,1),5149(a,1,1))]. given #5494 (H,wt=23): 5683 x \ (y * (z * T(z \ (y \ x),u))) = K((x \ (y * z)) \ 1,u). [para(857(a,1),5150(a,1,2))]. given #5495 (H,wt=23): 5688 x * K((x \ (y * z)) \ 1,u) = y * (z * T(z \ (y \ x),u)). [hyper(871,a,5152,a),flip(a)]. given #5496 (H,wt=21): 6108 x * K((x \ (y * z)) \ 1,z) = y * ((z \ (y \ x)) * z). [hyper(236,a,161,a(flip),b,5688,a)]. given #5497 (H,wt=23): 5692 T(x,y) * T(T(x,y) \ y,z) = y * K((T(y,x) \ x) \ 1,z). [para(4117(a,2),5152(a,2,2,1,1))]. given #5498 (H,wt=21): 6109 x * K((T(x,y) \ y) \ 1,z) = T(y * T(y \ x,z),x). [hyper(236,a,1584,a(flip),b,5692,a(flip))]. given #5499 (H,wt=23): 5724 T(x,(x / y) / x) / ((x / y) \ x) = (x / y) * K(x,1 / y). [hyper(236,a,5530,a,b,5372,a),flip(a)]. given #5500 (H,wt=23): 5742 K((x \ (y / ((z \ 1) \ 1))) \ u,w) = K((x \ (y / z)) \ u,w). [para(4579(a,1),5436(a,1,1,1)),flip(a)]. given #5501 (H,wt=23): 5743 K((x * (y * (1 / z))) \ u,w) = K((x * (y * (z \ 1))) \ u,w). [para(4585(a,1),5436(a,1,1,1))]. given #5502 (H,wt=23): 5744 K((((1 / x) \ y) \ z) \ u,w) = K((((x \ 1) \ y) \ z) \ u,w). [para(4689(a,1),5436(a,1,1,1))]. given #5503 (H,wt=23): 5749 K(x,y * (((1 / z) \ u) \ w)) = K(x,y * (((z \ 1) \ u) \ w)). [para(4689(a,1),5483(a,1,2,2))]. given #5504 (H,wt=23): 5751 K(x,(((1 / y) \ z) \ u) \ w) = K(x,(((y \ 1) \ z) \ u) \ w). [para(4689(a,1),5488(a,1,2,1))]. given #5505 (H,wt=23): 5814 T(x,y) \ T(z * T(z \ x,x),y) = K((x \ z) \ 1,T(x,y)). [para(5152(a,2),5754(a,1,2,1))]. given #5506 (H,wt=23): 5815 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(T(x,z),u),y). [para(5493(a,1),5756(a,1,1,1))]. given #5507 (H,wt=23): 5824 ((x * K(y,x)) \ ((y * (x * y)) / y)) \ ((y * (x * y)) / y) = x. [para(5047(a,2),4244(a,1,1))]. given #5508 (H,wt=23): 5872 K(x,R(y / z,z,u) \ 1) != w | K(x,(z * u) / (y * u)) = w. [para(114(a,2),5871(a,1,2,1))]. given #5509 (H,wt=23): 5895 K(x,L(L(y \ 1,z,u),w,v5) \ 1) = L(L(K(x,y),z,u),w,v5). [para(5893(a,1),5890(a,1,1)),flip(a)]. given #5510 (H,wt=23): 5904 K(R(R(1 / x,y,z),u,w) \ 1,v5) = R(R(K(x,v5),y,z),u,w). [para(5901(a,1),5900(a,1,1)),flip(a)]. given #5511 (H,wt=23): 5916 x * (y \ T(y * (x \ (y \ 1)),z)) = K(x \ 1,z) * (y \ 1). [para(877(a,1),5163(a,1,2))]. given #5512 (H,wt=23): 5920 x / (K(y,z * (u / (w \ 1))) * x) = K(z * (u / (1 / w)),y). [hyper(236,a,5266,a,b,5439,a),flip(a)]. given #5513 (H,wt=22): 6112 K(x * (y / (1 / z)),u) != w | K(x * (y / (z \ 1)),u) = w. [para(5920(a,1),5272(a,1))]. given #5514 (H,wt=23): 5923 T(x * ((y * (x \ z)) / y),z) / z = K(y,(T(x,z) / z) \ 1). [para(2219(a,1),5453(a,1,1))]. given #5515 (H,wt=23): 5926 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((x \ 1) \ y),x). [hyper(236,a,946,a,b,5527,a(flip)),flip(a)]. given #5516 (H,wt=23): 5933 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,T(K(z \ y,z),u)). [para(4796(a,1),5750(a,1,2,1)),flip(a)]. given #5517 (H,wt=23): 5946 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K((1 / x) \ 1,y) * z. [para(65(a,1),5917(a,1,2,1,1))]. given #5518 (H,wt=19): 6114 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K(x,y) * z. [para(65(a,1),5946(a,2,1,1))]. given #5519 (H,wt=19): 6115 K(x,y) * ((1 / x) * z) = (1 / x) * (K(x,y) * z). [para(13(a,1),6114(a,1,2,2)),flip(a)]. given #5520 (H,wt=19): 6117 (K(x,y) * ((1 / x) * z)) / (K(x,y) * z) = 1 / x. [hyper(555,a,6115,a)]. given #5521 (H,wt=23): 5947 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K((x \ 1) \ 1,y) * z. [para(3247(a,1),5917(a,1,2,1))]. given #5522 (H,wt=19): 6119 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K(x,y) * z. [para(3247(a,1),5947(a,2,1))]. given #5523 (H,wt=19): 6121 K(x,y) * ((x \ 1) * z) = (x \ 1) * (K(x,y) * z). [para(13(a,1),6119(a,1,2,2)),flip(a)]. given #5524 (H,wt=19): 6126 ((x \ 1) * y) / ((x \ 1) * (K(x,z) * y)) = K(z,x). [para(6121(a,1),5266(a,1,2))]. given #5525 (H,wt=19): 6127 ((x \ 1) * (K(y,x) * z)) / ((x \ 1) * z) = K(y,x). [para(5268(a,1),6126(a,1,2,2))]. given #5526 (H,wt=19): 6128 K(x,y) * ((y \ 1) * z) = (y \ 1) * (K(x,y) * z). [para(6127(a,1),16(a,1,1))]. given #5527 (H,wt=23): 5948 K(x,y) * (z * K((z \ K(y,x)) \ 1,u)) = T(K(x,y) * z,u). [para(5093(a,1),5928(a,1,2,2,1,1,2))]. given #5528 (H,wt=23): 5966 L(x * K(y,x),z,u) / L(x,z,u) != w | K(y,L(x,z,u)) = w. [para(5656(a,1),3140(a,1,1))]. given #5529 (H,wt=23): 5968 R(x,y,z) \ R(x * K(u,x),y,z) != w | K(u,R(x,y,z)) = w. [para(5658(a,1),283(a,1,2)),flip(b)]. given #5530 (H,wt=23): 5970 R(x,y,z) * K(u,R(x,y,z)) != w | R(x * K(u,x),y,z) = w. [para(5669(a,1),216(a,1,2)),flip(b)]. given #5531 (H,wt=23): 6016 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = x * K(y,(x \ y) \ 1). [para(14(a,1),6012(a,2,2,1))]. given #5532 (H,wt=23): 6018 K(x,x * y) * (L(y,z,u) * x) = L(y,z,u) * T(x,x * y). [hyper(4272,a,5255,a(flip)),flip(a)]. given #5533 (H,wt=23): 6027 K(x,y / (z * (u \ (z \ y)))) = y / (z * (K(u,x) * (z \ y))). [para(5190(a,1),5549(a,1,2,2)),flip(a)]. given #5534 (H,wt=23): 6030 K((x \ (y / (z \ 1))) \ 1,y) = x \ (((y \ (x / z)) * y) * z). [para(3731(a,1),5684(a,1,2)),flip(a)]. given #5535 (H,wt=23): 6033 K(x,y * (((1 / (1 / z)) \ u) * w)) = K(x,y * ((z \ u) * w)). [para(5760(a,1),5747(a,1,2,2))]. given #5536 (H,wt=23): 6055 K(((1 / x) * (y \ 1)) \ 1,z) = (1 / x) * (y \ T(y * x,z)). [para(65(a,1),6047(a,1,2,2,1,2)),flip(a)]. given #5537 (H,wt=23): 6079 (x * K((x \ y) \ 1,z)) * (x \ 1) = K((y * (x \ 1)) \ 1,z). [para(5152(a,1),6075(a,1,1))]. given #5538 (H,wt=23): 6095 (x * y) * K(R(y,x,y),x * y) = ((y * x) / R(y,x,y)) * y. [hyper(1928,a,5031,a),flip(a)]. given #5539 (H,wt=22): 6138 ((x * y) / R(x,y,x)) * x = (y * x) * K(T(x,y),y * x). [para(4999(a,1),6095(a,1,2)),flip(a)]. given #5540 (H,wt=23): 6104 K(x \ 1,x) * (K(x,y) * K(x,z)) = (x \ K(x,y)) * T(x,z). [para(6103(a,1),3368(a,1,2))]. given #5541 (H,wt=23): 6122 (x \ 1) * (K(x,y) * T(z,x \ 1)) = K(x,y) * (z * (x \ 1)). [para(32(a,2),6119(a,1,2,2))]. given #5542 (H,wt=23): 6124 K(x,y) * ((x \ 1) * T(z,K(x,y))) = (x \ 1) * (z * K(x,y)). [hyper(236,a,161,a(flip),b,6121,a)]. given #5543 (H,wt=23): 6131 K(x,y) * (K(y,x) * T(K(y,x) \ z,u)) = T(K(x,y) * z,u). [para(5152(a,2),5948(a,1,2))]. given #5544 (H,wt=23): 6132 T(K(x,y) * (z * K(y,x)),u) = K(x,y) * (T(z,u) * K(y,x)). [para(5689(a,1),5948(a,1,2)),flip(a)]. given #5545 (H,wt=23): 6136 K(((x \ 1) * (y \ 1)) \ 1,z) = (1 / x) * (y \ T(y * x,z)). [hyper(236,a,5740,a(flip),b,6055,a(flip)),flip(a)]. given #5546 (H,wt=23): 6140 K(x,y) \ T(K(x,y) * z,u) = K(y,x) * T(K(y,x) \ z,u). [hyper(80,a,6131,a)]. given #5547 (H,wt=23): 6143 (K(x,y) * T(K(x,y) \ z,u)) * K(y,x) = T(z * K(y,x),u). [para(6140(a,1),4634(a,1,1))]. given #5548 (H,wt=23): 6144 T((K(x,y) * z) * K(y,x),u) = (K(x,y) * T(z,u)) * K(y,x). [para(13(a,1),6143(a,1,1,2,1)),flip(a)]. given #5549 (H,wt=24): 4779 T(x,y) * z != (x \ L(x,u,w)) * T(x,y) | x \ L(x,u,w) = z. [para(4769(a,1),19(a,1)),flip(a)]. given #5550 (H,wt=24): 5051 (x * y) * K(T(y,x),x * y) != z | T(y,x * y) * T(x,y) = z. [para(4854(a,1),4356(a,1))]. given #5551 (H,wt=20): 6147 ((x * y) / R(x,y,x)) * x = T(x,y * x) * T(y,x). [hyper(5051,a,6138,a(flip)),flip(a)]. given #5552 (H,wt=24): 5221 (x * y) * K(1 / L(z,y,x),u) = x * (y * (z * T(z \ 1,u))). [para(4883(a,1),2380(a,1,2))]. given #5553 (H,wt=22): 6149 (x * y) * K(1 / L(z,y,x),u) = x * (y * K(1 / z,u)). [para(4883(a,1),5221(a,2,2,2))]. given #5554 (H,wt=17): 6150 L(K(1 / x,y),z,u) = K(1 / L(x,z,u),y). [hyper(436,a,6149,a)]. given #5555 (H,wt=24): 5280 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(y,z) \ u). [para(5260(a,1),309(a,1,1,3))]. given #5556 (H,wt=24): 5289 L((K(x,y) * z) \ u,K(x,y) * z,K(y,x)) = z \ (K(y,x) * u). [para(5268(a,1),105(a,2,1))]. given #5557 (H,wt=24): 5290 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(z,y) * u). [para(5268(a,1),113(a,1,2))]. given #5558 (H,wt=24): 5301 R(x,y,z * K(y,z)) * (T(y,z) * z) = (x * y) * (z * K(y,z)). [para(4924(a,1),113(a,1,2))]. given #5559 (H,wt=24): 5330 (x * (y / x)) \ (y * (K(x,x \ y) * z)) = L(z,K(x,x \ y),y). [para(5079(a,1),28(a,2,1)),flip(a)]. given #5560 (H,wt=24): 5385 (x / T(y,x)) * L(z,x / y,K(x,y)) = K(x,y) * ((x / y) * z). [para(5368(a,1),103(a,1,1))]. given #5561 (H,wt=24): 5400 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) != w | R(y,z,u) = w. [para(3716(a,2),5271(a,1,2)),flip(b)]. given #5562 (H,wt=24): 5533 R(K(x,y),y * z,u) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(5363(a,1),113(a,2,1))]. given #5563 (H,wt=24): 5778 K(x,x \ y) * ((x \ y) * z) != u * w | u \ ((y / x) * z) = w. [para(5568(a,2),545(a,1))]. given #5564 (H,wt=24): 5828 T(x,y) * L(T(z,x),u,w) != v5 | K(x,y) * (L(z,u,w) * x) = v5. [para(40(a,2),5256(a,1,2))]. given #5565 (H,wt=24): 5829 T(x,y) * R(T(z,x),u,w) != v5 | K(x,y) * (R(z,u,w) * x) = v5. [para(42(a,2),5256(a,1,2))]. given #5566 (H,wt=23): 6152 K(x,x * y) * (R(y,z,u) * x) = R(y,z,u) * T(x,x * y). [hyper(5829,a,4271,a)]. given #5567 (H,wt=24): 5830 K(x \ 1,x) * ((x \ 1) \ y) != z * u | z \ ((1 / x) \ y) = u. [para(2947(a,1),5278(a,1,2))]. given #5568 (H,wt=24): 5831 K(x \ 1,x) * (x \ y) != z * u | z \ (((x \ 1) \ 1) \ y) = u. [para(3000(a,1),5278(a,1,2))]. given #5569 (H,wt=24): 5886 K(x * T((y * z) \ z,y),u) != w | K(x * ((y * z) \ z),u) = w. [para(2575(a,2),5630(a,1,1,2))]. given #5570 (H,wt=24): 5892 L(x,y,z) \ K(x,L(x,y,z) \ 1) = (1 / x) * (L(x,y,z) \ x). [hyper(72,a,5890,a(flip),b,2689,a)]. given #5571 (H,wt=17): 6154 (1 / x) * (L(x,y,z) \ x) = 1 / L(x,y,z). [hyper(236,a,5391,a(flip),b,5892,a(flip))]. given #5572 (H,wt=21): 6156 L(x \ 1,y,z) \ (x \ 1) = x \ (1 / L(x \ 1,y,z)). [hyper(72,a,6154,a(flip),b,134,a(flip)),flip(a)]. given #5573 (H,wt=21): 6157 (1 / x) * ((L(x,y,z) \ 1) * x) = T(1 / L(x,y,z),x). [para(6154(a,1),1229(a,1,1)),flip(a)]. given #5574 (H,wt=21): 6158 L(x \ 1,y,z) \ (x \ 1) = x \ (L(1 / x,y,z) \ 1). [para(2696(a,1),6156(a,2,2))]. given #5575 (H,wt=24): 5908 K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = L(1,y,z). [para(1687(a,1),5906(a,1,1)),flip(a)]. given #5576 (H,wt=21): 6160 K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = 1. [hyper(236,a,329,a(flip),b,5908,a)]. given #5577 (H,wt=15): 6162 K(L(x,y,z) \ 1,x \ L(x,u,w)) = 1. [para(1051(a,1),6160(a,1,2))]. given #5578 (H,wt=20): 6163 T(L(x,y,z) \ 1,x \ L(x,u,w)) = L(x,y,z) \ 1. [hyper(37,a,6162,a)]. given #5579 (H,wt=20): 6164 T(x \ L(x,y,z),L(x,u,w) \ 1) = x \ L(x,y,z). [hyper(35,a,6163,a)]. given #5580 (H,wt=22): 6165 T(L(x,y,z) * (x \ 1),L(x,u,w) \ 1) = x \ L(x,y,z). [para(1207(a,2),6164(a,1,1))]. given #5581 (H,wt=23): 6166 (L(x,y,z) * (x \ 1)) \ (x \ 1) = (x \ 1) / (x \ L(x,y,z)). [para(6165(a,1),4084(a,1,2)),flip(a)]. given #5582 (H,wt=19): 6167 (L(x,y,z) * (x \ 1)) \ (x \ 1) = L(x,y,z) \ 1. [hyper(236,a,2638,a(flip),b,6166,a)]. given #5583 (H,wt=17): 6168 (x \ L(x,y,z)) \ (x \ 1) = L(x,y,z) \ 1. [para(1207(a,1),6167(a,1,1))]. given #5584 (H,wt=24): 5950 L(x * K(y,x),K(x * K(y,x),y),z) = (z * K(x,y)) \ (z * x). [para(5003(a,2),5094(a,1,2))]. given #5585 (H,wt=24): 6021 (x * y) * (z * (L(y \ z,y,x) / z)) = (x * K(z,y \ 1)) * z. [para(5454(a,1),2217(a,1,1)),flip(a)]. given #5586 (H,wt=24): 6032 x \ (((y \ (x / z)) * y) * z) != u | K((x \ (y * z)) \ 1,y) = u. [para(5686(a,2),283(a,1,2)),flip(b)]. given #5587 (H,wt=24): 6034 K(x \ R(x,y,z),x) != (u \ 1) * w | T(u,R(u \ 1,v5,v6)) = w. [para(5767(a,2),19(a,1))]. given #5588 (H,wt=24): 6054 (x * y) * ((z \ L(y \ z,y,x)) * z) = x * (z * K(y \ 1,z)). [para(6053(a,1),4752(a,2,2))]. given #5589 (H,wt=24): 6077 (x * T(x \ y,z)) * (y \ 1) != u | K((x * (y \ 1)) \ 1,z) = u. [para(1413(a,1),5607(a,1))]. given #5590 (H,wt=24): 6084 K(x,y) * ((x \ 1) \ z) != u | z * T(z \ ((x \ 1) \ z),y) = u. [para(3247(a,1),5877(a,1,1))]. given #5591 (H,wt=24): 6110 T(x * T(x \ y,z),y) != y * u | K((T(y,x) \ x) \ 1,z) = u. [para(6109(a,1),19(a,1))]. given #5592 (H,wt=24): 6148 T(x,(x \ y) * x) * T(x \ y,x) = (y / R(x,x \ y,x)) * x. [para(14(a,1),6147(a,1,1,1)),flip(a)]. given #5593 (H,wt=20): 6172 (x / R(y,y \ x,y)) * y = T(y,x) * T(y \ x,y). [para(4256(a,1),6148(a,1,1)),flip(a)]. given #5594 (H,wt=18): 6173 (x / R(y,y \ x,y)) * y = (y \ x) * T(y,x). [hyper(236,a,3923,a(flip),b,6172,a)]. given #5595 (H,wt=16): 6174 x / R(y,y \ x,y) = y \ (x * K(y,x)). [hyper(18,a,5052,a,b,6173,a)]. given #5596 (H,wt=16): 6175 x / R(y,y \ x,y) = (y * K(x,y)) \ x. [hyper(236,a,5580,a,b,6174,a)]. given #5597 (H,wt=17): 6176 x / ((y \ x) \ T(x,y)) = (y * K(x,y)) \ x. [para(4234(a,1),6175(a,1,2))]. given #5598 (H,wt=17): 6177 ((x * K(y,x)) \ y) \ y = (x \ y) \ T(y,x). [para(6176(a,1),65(a,1,1))]. given #5599 (H,wt=17): 6178 (x \ (y * K(x,y))) \ y = (x \ y) \ T(y,x). [para(5580(a,1),6177(a,1,1))]. given #5600 (H,wt=17): 6179 (x \ ((x * y) / x)) \ y = (x \ y) \ T(y,x). [para(4854(a,2),6178(a,1,1,2))]. given #5601 (H,wt=24): 6151 L(K(x \ y,x) * z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). [para(5268(a,1),5330(a,1,2,2)),flip(a)]. given #5602 (H,wt=24): 6169 (x * y) * L(z * ((y \ z) / z),y,x) = (x * K(z,y \ 1)) * z. [para(4749(a,2),6021(a,1,2))]. given #5603 (H,wt=21): 6180 x * (y * (z * ((y \ z) / z))) = (x * K(z,y \ 1)) * z. [hyper(219,a,6169,a)]. given #5604 (H,wt=17): 6181 (x * K(y,z \ 1)) * y = x * T(y,z \ 1). [para(3771(a,1),6180(a,1,2)),flip(a)]. given #5605 (H,wt=17): 6187 (x * K(y,z)) * y = x * T(y,(z \ 1) \ 1). [para(5233(a,1),6181(a,1,1,2))]. given #5606 (H,wt=13): 6188 (x * K(y,z)) * y = x * T(y,z). [para(3020(a,1),6187(a,2,2))]. given #5607 (H,wt=8): 6189 R(x,K(y,z),y) = x. [hyper(4978,a,6188,a)]. given #5608 (H,wt=8): 6190 L(x,K(x,y),z) = x. [hyper(4977,a,6188,a)]. given #5609 (H,wt=12): 6211 L(T(x,y),K(x,z),u) = T(x,y). [para(6190(a,1),40(a,2,1))]. given #5610 (H,wt=13): 6194 (x * T(y,z)) / y = x * K(y,z). [hyper(87,a,6188,a)]. given #5611 (H,wt=13): 6195 (1 / x) * K(x,y) = K(x,y) / x. [hyper(74,a,4879,a,b,6188,a),flip(a)]. given #5612 (H,wt=13): 6197 (x / T(y,z)) * K(y,z) = x / y. [hyper(74,a,16,a(flip),b,6188,a),flip(a)]. given #5613 (H,wt=13): 6200 (x / y) * T(y,z) = x * K(y,z). [hyper(18,a,1145,a,b,6188,a),flip(a)]. given #5614 (H,wt=13): 6201 (x * y) * K(y,z) = x * T(y,z). [hyper(18,a,1140,a,b,6188,a)]. given #5615 (H,wt=10): 6235 L(K(x,y),x,z) = K(x,y). [hyper(4961,a,6201,a)]. given #5616 (H,wt=12): 6247 L(K(x,y),x,z) = K(y,x) \ 1. [hyper(236,a,5093,a,b,6235,a)]. given #5617 (H,wt=13): 6202 (x \ T(y,x)) * K(x,y) = x \ y. [hyper(18,a,4318,a(flip),b,6188,a)]. given #5618 (H,wt=13): 6220 T(x,(x / y) / x) = T(x,1 / y). [hyper(168,a,5372,a(flip),b,6200,a)]. given #5619 (H,wt=13): 6221 (x / y) \ (x * K(y,z)) = T(y,z). [hyper(80,a,6200,a)]. given #5620 (H,wt=13): 6239 (x * T(y,z)) / K(y,z) = x * y. [hyper(87,a,6201,a)]. given #5621 (H,wt=13): 6253 L(K(x,y),x,z) != u | K(x,y) = u. [para(6247(a,2),5116(a,1))]. given #5622 (H,wt=13): 6254 K(x,y) = (x \ T(y,x)) \ (x \ y). [hyper(80,a,6202,a),flip(a)]. given #5623 (H,wt=15): 6191 x \ (y * T(x,z)) = T(y * K(x,z),x). [hyper(394,a,xx,b,6188,a),flip(a)]. given #5624 (H,wt=15): 6193 x * T(y * K(x,z),x) = y * T(x,z). [hyper(222,a,6188,a)]. given #5625 (H,wt=15): 6199 (x * y) * K(T(x,y),z) = T(x,z) * y. [hyper(18,a,1180,a,b,6188,a)]. given #5626 (H,wt=15): 6210 (x * K(y,z)) \ (x * y) = y * K(z,y). [hyper(236,a,5950,a(flip),b,6190,a(flip)),flip(a)]. given #5627 (H,wt=15): 6219 x * T(x \ y,z) = y * K(x \ y,z). [hyper(290,a,6200,a)]. given #5628 (H,wt=13): 6268 K((x \ y) \ y,z) = T(K(x,z),y). [hyper(5714,a,6219,a),flip(a)]. given #5629 (H,wt=11): 6287 K((x \ y) \ y,y) = K(x,y). [hyper(236,a,3136,a(flip),b,6268,a)]. given #5630 (H,wt=11): 6289 K(x / y,x) = K(y \ x,x). [para(65(a,1),6287(a,1,1,1)),flip(a)]. given #5631 (H,wt=13): 6269 K((x \ y) \ 1,z) = K(y \ x,z). [hyper(5691,a,6219,a)]. given #5632 (H,wt=13): 6271 T(K(x / y,z),x) = K(y \ x,z). [hyper(5418,a,6219,a)]. given #5633 (H,wt=13): 6288 K(T(x,x \ y),z) = T(K(x,z),y). [para(120(a,2),6268(a,1,1))]. given #5634 (H,wt=13): 6291 K(1 / (x \ y),z) = K(y \ x,z). [hyper(5393,a,6269,a)]. given #5635 (H,wt=13): 6293 K(((x * y) \ x) \ 1,z) = K(y,z). [hyper(236,a,660,a(flip),b,6269,a)]. given #5636 (H,wt=13): 6294 K((x * y) \ x,z) = K(y \ 1,z). [para(13(a,1),6269(a,1,1,1)),flip(a)]. given #5637 (H,wt=13): 6296 K(x \ (x / y),z) = K(y \ 1,z). [para(65(a,1),6269(a,1,1,1)),flip(a)]. given #5638 (H,wt=13): 6310 T(K(x,y),(z * x) / z) = K(x,y). [para(3150(a,1),6288(a,1,1)),flip(a)]. given #5639 (H,wt=13): 6311 K(1 / ((x * y) \ x),z) = K(y,z). [hyper(236,a,660,a(flip),b,6291,a)]. given #5640 (H,wt=13): 6312 K((x * y) \ x,z) = K(1 / y,z). [para(13(a,1),6291(a,1,1,2)),flip(a)]. given #5641 (H,wt=14): 6325 K(L(x \ 1,x,y),z) = K(x \ 1,z). [para(158(a,2),6294(a,1,1))]. given #5642 (H,wt=14): 6346 K(L(1 / x,x,y),z) = K(x \ 1,z). [hyper(5394,a,6325,a)]. given #5643 (H,wt=15): 6223 (x * K(y,z)) / y = (x / y) * K(y,z). [hyper(74,a,6200,a(flip),b,6188,a)]. given #5644 (H,wt=15): 6225 ((x / y) * K(y,z)) \ (x * K(y,z)) = y. [hyper(72,a,6200,a(flip),b,6188,a)]. given #5645 (H,wt=15): 6226 x \ (y * K(x \ y,z)) = T(x \ y,z). [hyper(72,a,6200,a(flip),b,134,a(flip))]. given #5646 (H,wt=15): 6246 (x * y) * K(y,z) = x * (y * K(y,z)). [para(4887(a,1),6201(a,2,2))]. given #5647 (H,wt=8): 6350 R(x,y,K(y,z)) = x. [hyper(467,a,6246,a)]. given #5648 (H,wt=15): 6265 (x * K(y,z)) * (y * K(z,y)) = x * y. [para(6210(a,1),14(a,1,2))]. given #5649 (H,wt=15): 6266 ((x / y) * K(y,z)) \ x = y * K(z,y). [para(16(a,1),6210(a,1,2))]. given #5650 (H,wt=15): 6267 x / (y * K(z,y)) = (x / y) * K(y,z). [para(6210(a,1),279(a,1,2))]. given #5651 (H,wt=15): 6270 K(x / y,z) * x = x * K(y \ x,z). [hyper(5616,a,6219,a)]. given #5652 (H,wt=15): 6275 (x * K(y \ x,z)) / y = T(x / y,z). [hyper(74,a,6219,a(flip),b,405,a)]. given #5653 (H,wt=15): 6290 (x / y) * K(y \ x,x) = T(x / y,x). [para(6289(a,1),4887(a,2,2)),flip(a)]. given #5654 (H,wt=15): 6299 T(x,(y \ z) \ 1) = K(z \ y,x) \ x. [para(6269(a,1),4846(a,2,1))]. given #5655 (H,wt=13): 6361 T(x,(y \ z) \ 1) = T(x,z \ y). [hyper(236,a,4846,a,b,6299,a)]. given #5656 (H,wt=13): 6365 T(x,(y * z) \ y) = T(x,z \ 1). [para(13(a,1),6361(a,1,2,1)),flip(a)]. given #5657 (H,wt=13): 6366 T(x,((y * z) \ y) \ 1) = T(x,z). [para(13(a,1),6361(a,2,2))]. given #5658 (H,wt=13): 6369 T(x,y \ (y / z)) = T(x,z \ 1). [para(65(a,1),6361(a,1,2,1)),flip(a)]. given #5659 (H,wt=13): 6386 T(x,y \ (y / z)) = T(x,1 / z). [hyper(236,a,3019,a,b,6369,a)]. given #5660 (H,wt=14): 6376 T(x,L(1 / y,y,z)) = T(x,y \ 1). [hyper(236,a,3021,a,b,6365,a(flip)),flip(a)]. given #5661 (H,wt=14): 6379 T(x,L(y \ 1,y,z)) = T(x,y \ 1). [para(158(a,2),6365(a,1,2))]. given #5662 (H,wt=14): 6383 T(x,L(y \ 1,y,z) \ 1) = T(x,y). [para(158(a,2),6366(a,1,2,1))]. given #5663 (H,wt=15): 6343 T(K(x \ y,z),y / x) = K(x \ y,z). [para(14(a,1),6310(a,1,2,1))]. given #5664 (H,wt=15): 6357 (x * K(y,z)) / y = x / (y * K(z,y)). [hyper(236,a,6223,a,b,6267,a),flip(a)]. given #5665 (H,wt=15): 6359 x / ((y * z) / y) = (x / z) * K(z,y). [para(4854(a,2),6267(a,1,2))]. given #5666 (H,wt=15): 6368 T(x,T(y,z) \ 1) = T(x,(y * z) \ z). [para(32(a,2),6361(a,1,2,1))]. given #5667 (H,wt=15): 6375 T(x * y,y \ 1) = ((x * y) \ x) \ x. [hyper(375,a,6365,a),flip(a)]. given #5668 (H,wt=15): 6378 x / T(x * y,y \ 1) = (x * y) \ x. [para(6365(a,1),197(a,1,2))]. given #5669 (H,wt=15): 6387 T(x,y \ (y / z)) = x * K(x,z \ 1). [hyper(236,a,4887,a(flip),b,6369,a)]. given #5670 (H,wt=13): 6404 K(x,y \ (y / z)) = K(x,z \ 1). [hyper(4954,a,6387,a)]. given #5671 (H,wt=13): 6405 K(x,y \ (y / z)) = K(x,1 / z). [hyper(236,a,5223,a,b,6404,a)]. given #5672 (H,wt=13): 6407 K(x,(y * z) \ y) = K(x,z \ 1). [para(15(a,1),6404(a,1,2,2))]. given #5673 (H,wt=13): 6408 K(x,(y \ z) \ 1) = K(x,z \ y). [para(62(a,1),6404(a,1,2,2)),flip(a)]. given #5674 (H,wt=13): 6411 K(x,1 / (y \ z)) = K(x,z \ y). [para(62(a,1),6405(a,1,2,2)),flip(a)]. given #5675 (H,wt=13): 6420 T(K(x,y / z),y) = K(x,z \ y). [hyper(236,a,5940,a,b,6408,a(flip)),flip(a)]. given #5676 (H,wt=13): 6421 K(x,((y * z) \ y) \ 1) = K(x,z). [para(13(a,1),6408(a,2,2))]. given #5677 (H,wt=13): 6422 K(x,(y \ (y / z)) \ 1) = K(x,z). [para(65(a,1),6408(a,2,2))]. given #5678 (H,wt=13): 6432 K(x,(y \ z) \ z) = T(K(x,y),z). [para(62(a,1),6420(a,1,1,2)),flip(a)]. given #5679 (H,wt=13): 6433 T(x / y,K(z,y \ x)) = x / y. [para(6420(a,1),3151(a,1,2))]. given #5680 (H,wt=13): 6437 K(x,T(y,y \ z)) = T(K(x,y),z). [para(120(a,2),6432(a,1,2))]. given #5681 (H,wt=13): 6438 K(x,T(y,z / y)) = T(K(x,y),z). [para(4149(a,2),6432(a,1,2))]. given #5682 (H,wt=13): 6439 T(K(x,y),z * y) = K(x,T(y,z)). [para(4138(a,2),6432(a,1,2)),flip(a)]. given #5683 (H,wt=9): 6441 T(x,K(y,T(x,z))) = x. [para(6439(a,1),3151(a,1,2))]. given #5684 (H,wt=13): 6440 T(K(x,y),y * z) = K(x,T(y,z)). [para(13(a,1),6437(a,1,2,2)),flip(a)]. given #5685 (H,wt=15): 6395 (x / (y * K(z,y))) * y = x * K(y,z). [para(6357(a,1),16(a,1,1))]. given #5686 (H,wt=15): 6426 K(x,y / z) * y = y * K(x,z \ y). [para(6408(a,1),5939(a,1,2)),flip(a)]. given #5687 (H,wt=15): 6445 (x / ((y * z) / y)) * z = x * K(z,y). [para(4854(a,2),6395(a,1,1,2))]. given #5688 (H,wt=15): 6447 (x * ((y * z) / y)) * K(z,y) = x * z. [para(15(a,1),6445(a,1,1)),flip(a)]. given #5689 (H,wt=16): 6203 x * T(y,z) != u * y | x * K(y,z) = u. [para(6188(a,1),20(a,1))]. given #5690 (H,wt=16): 6215 (x * K(y,z)) * y != u | x * T(y,z) = u. [para(6194(a,1),221(a,1,1)),flip(b)]. given #5691 (H,wt=16): 6216 x / y != z * K(y,u) | x / T(y,u) = z. [para(6197(a,1),20(a,1))]. given #5692 (H,wt=16): 6227 (x / y) \ (x * K(y,z)) != u | T(y,z) = u. [para(6200(a,1),283(a,1,2)),flip(b)]. given #5693 (H,wt=16): 6242 x * T(y,z) != u * K(y,z) | x * y = u. [para(6201(a,1),20(a,1))]. given #5694 (H,wt=16): 6248 L(K(x,y),x,z) = (T(x,y) * u) / (x * u). [hyper(236,a,4871,a,b,6235,a)]. given #5695 (H,wt=16): 6255 x * K(y,z) != y \ z | y \ T(z,y) = x. [para(6202(a,1),20(a,1)),flip(a)]. given #5696 (H,wt=16): 6258 (x * y) * K(y,z) != u | x * T(y,z) = u. [para(6239(a,1),221(a,1,1)),flip(b)]. given #5697 (H,wt=16): 6345 K((x * y) \ x,z) != u | K(y \ 1,z) = u. [para(6312(a,2),3294(a,1))]. given #5698 (H,wt=16): 6362 T(x,(y \ z) \ 1) != u | T(x,z \ y) = u. [para(6299(a,2),4864(a,1))]. given #5699 (H,wt=16): 6391 T(x,y \ (y / z)) != u | T(x,1 / z) = u. [para(6369(a,2),5858(a,1))]. given #5700 (H,wt=16): 6399 L(x \ 1,x,y) \ y = T(y * x,x \ 1). [hyper(236,a,708,a,b,6375,a),flip(a)]. given #5701 (H,wt=16): 6413 K(x,y \ (y / z)) != u | K(x,z \ 1) = u. [para(6405(a,2),5228(a,1))]. given #5702 (H,wt=16): 6430 K(x,y \ z) != u | K(x,(z \ y) \ 1) = u. [para(6411(a,1),5228(a,1))]. given #5703 (H,wt=16): 6443 K(x * y,T(x,y)) != z | K(x * y,x) = z. [para(6440(a,1),5134(a,1))]. given #5704 (H,wt=16): 6453 x * K(y,z) != u | (x / y) * T(y,z) = u. [para(16(a,1),6258(a,1,1))]. given #5705 (H,wt=16): 6460 K(x,(y * z) \ y) != u | K(x,z \ 1) = u. [para(15(a,1),6413(a,1,2,2))]. given #5706 (H,wt=16): 6461 K(x,y) != z | K(x,((u * y) \ u) \ 1) = z. [para(13(a,1),6430(a,1,2))]. given #5707 (H,wt=17): 6196 (x / ((y \ z) \ z)) * K(y,y \ z) = x / y. [hyper(74,a,646,a(flip),b,6188,a),flip(a)]. given #5708 (H,wt=17): 6218 (x / y) * ((y \ z) \ z) = x * K(y,y \ z). [hyper(909,a,6200,a)]. given #5709 (H,wt=17): 6236 K(x,y) \ (z * T(x,y)) = T(z * x,K(x,y)). [hyper(394,a,xx,b,6201,a),flip(a)]. given #5710 (H,wt=15): 6466 T(x * y,K(y,z)) = y * T(x,T(y,z)). [hyper(236,a,5252,a(flip),b,6236,a(flip))]. given #5711 (H,wt=15): 6469 x * T(y / x,T(x,z)) = T(y,K(x,z)). [para(16(a,1),6466(a,1,1)),flip(a)]. given #5712 (H,wt=17): 6273 x \ T(x * y,z) = y * K((x \ 1) \ y,z). [hyper(941,a,6219,a)]. given #5713 (H,wt=17): 6301 K((K(x,y) * z) \ 1,u) = K(z \ K(y,x),u). [para(5260(a,1),6269(a,1,1,1))]. given #5714 (H,wt=17): 6302 x / (K(y \ z,u) * x) = K(u,(z \ y) \ 1). [para(6269(a,1),5266(a,1,2,1))]. given #5715 (H,wt=16): 6474 K(x,(y \ z) \ 1) != u | K(x,z \ y) = u. [para(6302(a,1),5272(a,1))]. given #5716 (H,wt=16): 6478 K(x,1 / (y \ z)) != u | K(x,z \ y) = u. [para(5223(a,2),6474(a,1))]. given #5717 (H,wt=16): 6480 T(K(x,y / z),y) != u | K(x,z \ y) = u. [para(5940(a,2),6474(a,1))]. given #5718 (H,wt=17): 6304 x * (y * K((x \ 1) \ y,z)) = T(x * y,z). [para(6269(a,1),5928(a,1,2,2))]. given #5719 (H,wt=17): 6309 K(L(x,y,z) / u,x) = K(u \ L(x,y,z),x). [hyper(236,a,3186,a(flip),b,6271,a(flip)),flip(a)]. given #5720 (H,wt=17): 6355 (x * K(y \ z,y)) * (z / y) = x * (y \ z). [para(4903(a,1),6265(a,1,2))]. given #5721 (H,wt=17): 6360 (x / (y \ z)) * K(y \ z,y) = x / (z / y). [para(4903(a,1),6267(a,1,2)),flip(a)]. given #5722 (H,wt=17): 6410 K(x,(K(y,z) * u) \ 1) = K(x,u \ K(z,y)). [para(5266(a,1),6404(a,1,2,2)),flip(a)]. given #5723 (H,wt=17): 6423 K(x,(y \ K(z,u)) \ 1) = K(x,K(u,z) * y). [para(5260(a,1),6408(a,2,2))]. given #5724 (H,wt=17): 6424 x * K(y,z \ x) = z * ((y * (z \ x)) / y). [para(6408(a,1),5456(a,1,2))]. given #5725 (H,wt=17): 6425 K(x,(y / z) \ 1) * z = z * K(x,y \ z). [para(6408(a,1),5787(a,2,2))]. given #5726 (H,wt=17): 6442 (x * y) * K(z,T(x,y)) = K(z,x) * (x * y). [para(6440(a,1),119(a,1,2))]. given #5727 (H,wt=17): 6444 (x / (y / (y / z))) * z = x * K(z,z \ y). [para(4799(a,2),6395(a,1,1,2))]. given #5728 (H,wt=17): 6448 (x * (y / z)) * K(z \ y,z) = x * (z \ y). [para(14(a,1),6447(a,1,1,2,1))]. given #5729 (H,wt=17): 6482 (x * (y \ z)) / (z / y) = x * K(y \ z,y). [hyper(87,a,6355,a)]. given #5730 (H,wt=18): 6206 x \ (y * T(x,z)) != u | T(y * K(x,z),x) = u. [para(6188(a,1),284(a,1,2))]. given #5731 (H,wt=18): 6213 L(x * y,K(y * x,z),u) = (y \ (y * x)) * y. [para(6190(a,1),4748(a,1,1,2)),flip(a)]. given #5732 (H,wt=14): 6490 L(x * y,K(y * x,z),u) = x * y. [para(13(a,1),6213(a,2,1))]. given #5733 (H,wt=18): 6214 L(L(T(x,y),z,u),K(x,w),v5) = L(T(x,y),z,u). [para(6211(a,1),45(a,1,1)),flip(a)]. given #5734 (H,wt=18): 6280 x \ (y * T(y \ x,z)) != u | K(y \ x,z) = u. [para(6219(a,2),283(a,1,2)),flip(b)]. given #5735 (H,wt=16): 6495 K((x \ y) \ 1,z) != u | K(y \ x,z) = u. [para(5150(a,1),6280(a,1))]. given #5736 (H,wt=16): 6498 K(1 / (x \ y),z) != u | K(y \ x,z) = u. [para(3244(a,2),6495(a,1))]. given #5737 (H,wt=16): 6500 T(K(x / y,z),x) != u | K(y \ x,z) = u. [para(5690(a,2),6495(a,1))]. given #5738 (H,wt=14): 6502 K(x / y,x) != z | K(y \ x,x) = z. [para(3136(a,1),6500(a,1))]. given #5739 (H,wt=16): 6501 T(K(x,y),z) != u | K((x \ z) \ z,y) = u. [para(62(a,1),6500(a,1,1,1))]. given #5740 (H,wt=18): 6286 x * K(y \ x,z) != u * x | K(x / y,z) = u. [para(6219(a,1),5417(a,1))]. given #5741 (H,wt=18): 6292 L(K(x \ y,z),x \ y,u) = K((y \ x) \ 1,z). [hyper(236,a,6235,a,b,6269,a),flip(a)]. given #5742 (H,wt=18): 6349 (x * K(y,z)) / y != u | (x / y) * K(y,z) = u. [para(6225(a,1),294(a,1,2)),flip(b)]. given #5743 (H,wt=18): 6371 T(x \ y,y \ x) != z | ((x \ y) \ 1) \ 1 = z. [para(6361(a,1),375(a,1))]. given #5744 (H,wt=18): 6398 x / ((y * z) / y) != u * K(z,y) | x / z = u. [para(6359(a,2),20(a,1))]. given #5745 (H,wt=18): 6427 x * K(y,z \ x) != u * x | K(y,x / z) = u. [para(6408(a,1),5941(a,1,2))]. given #5746 (H,wt=18): 6434 T(x,K(y,z \ x)) != u | T(x,K(y,x / z)) = u. [para(6420(a,1),4172(a,1,2))]. given #5747 (H,wt=18): 6449 x * K(y,z) != u * y | u * ((z * y) / z) = x. [para(6447(a,1),20(a,1)),flip(a)]. given #5748 (H,wt=18): 6457 T(x,T(y,z) \ 1) != u | T(x,(y * z) \ z) = u. [para(32(a,2),6362(a,1,2,1))]. given #5749 (H,wt=18): 6476 K(x,T(y,z) \ 1) != u | K(x,(y * z) \ z) = u. [para(32(a,2),6474(a,1,2,1))]. given #5750 (H,wt=18): 6496 K(T(x,y) \ 1,z) != u | K((x * y) \ y,z) = u. [para(32(a,2),6495(a,1,1,1))]. given #5751 (H,wt=15): 6504 K(((x \ 1) * y) \ y,z) = T(K(x,z),y). [hyper(6496,a,5677,a)]. given #5752 (H,wt=15): 6505 K((x * y) \ y,T(x,z)) = K(x \ 1,x). [hyper(6496,a,3333,a)]. given #5753 (H,wt=19): 6234 K(x,y) * T(y * x,z) = (x * y) * K(y * x,z). [para(4816(a,2),6200(a,1,1))]. given #5754 (H,wt=19): 6249 (1 / x) \ L(K(x,y),z,u) = x * L(K(x,y),z,u). [para(6235(a,1),573(a,1,2,1))]. given #5755 (H,wt=19): 6272 (x \ y) * K((x \ 1) \ (x \ y),z) = x \ T(y,z). [hyper(947,a,6219,a),flip(a)]. given #5756 (H,wt=19): 6276 x \ (((y \ (x * z)) * y) / z) = K((y / z) \ x,y). [hyper(72,a,1403,a(flip),b,6219,a(flip))]. given #5757 (H,wt=19): 6277 x \ (y \ ((z \ (y * x)) * z)) = K((y \ z) \ x,z). [hyper(72,a,1235,a(flip),b,6219,a(flip))]. given #5758 (H,wt=19): 6283 (x * K(y \ x,z)) * (y \ 1) = T(x * (y \ 1),z). [para(6219(a,1),945(a,1,1))]. given #5759 (H,wt=19): 6303 K(L(x \ y,z,u) \ 1,w) = L(K(y \ x,w),z,u). [para(6269(a,1),5906(a,1,1)),flip(a)]. given #5760 (H,wt=19): 6306 x * K((y * z) \ x,y) = z * ((y \ (z \ x)) * y). [para(6269(a,1),6031(a,1,2))]. given #5761 (H,wt=19): 6307 x * K((y * z) \ x,z) = y * ((z \ (y \ x)) * z). [para(6269(a,1),6108(a,1,2))]. given #5762 (H,wt=15): 6511 K((x * y) \ z,y) = K((y * x) \ z,y). [hyper(17,a,6306,a,b,6307,a)]. given #5763 (H,wt=19): 6308 K(x,K(y,x / z)) * K(x / z,y) = K(z \ x,y). [hyper(236,a,5841,a,b,6271,a(flip)),flip(a)]. given #5764 (H,wt=19): 6313 K(1 / L(x \ y,z,u),w) = L(K(y \ x,w),z,u). [para(6291(a,1),6150(a,1,1)),flip(a)]. given #5765 (H,wt=19): 6314 ((x * y) \ x) * T(((x * y) \ x) \ 1,z) = K(y,z). [hyper(4948,a,6293,a)]. given #5766 (H,wt=19): 6316 T(((x * y) \ x) \ 1,z) = ((x * y) \ x) \ K(y,z). [hyper(72,a,6293,a(flip),b,4830,a),flip(a)]. given #5767 (H,wt=19): 6327 K(x \ 1,y) * ((z * x) \ z) = T((z * x) \ z,y). [para(6294(a,1),4897(a,2,1)),flip(a)]. given #5768 (H,wt=19): 6338 K(x \ 1,y) * (z \ (z / x)) = T(z \ (z / x),y). [para(6296(a,1),4897(a,2,1)),flip(a)]. given #5769 (H,wt=19): 6363 T((x \ y) * z,y \ x) = (((x \ y) * z) \ z) \ z. [hyper(4085,a,6361,a),flip(a)]. given #5770 (H,wt=19): 6370 ((x \ y) \ 1) * T(z,y \ x) = z * ((x \ y) \ 1). [para(6361(a,1),119(a,1,2))]. given #5771 (H,wt=19): 6374 K((x \ y) \ z,T(z,y \ x)) = K((x \ y) \ z,z). [para(6361(a,1),5309(a,1,2))]. given #5772 (H,wt=19): 6377 ((x * y) \ x) * T(z,y \ 1) = z * ((x * y) \ x). [para(6365(a,1),119(a,1,2))]. given #5773 (H,wt=19): 6388 (x \ (x / y)) * T(z,y \ 1) = z * (x \ (x / y)). [para(6369(a,1),119(a,1,2))]. given #5774 (H,wt=19): 6400 T(x * (y / z),z / y) = ((x * (y / z)) \ x) \ x. [hyper(236,a,4187,a(flip),b,6375,a(flip)),flip(a)]. given #5775 (H,wt=19): 6402 (1 / x) * (((y * x) \ y) \ y) = (y * x) * (1 / x). [para(6375(a,1),3024(a,1,2))]. given #5776 (H,wt=19): 6419 K((x \ y) \ 1,(z \ u) \ 1) = K(y \ x,u \ z). [hyper(236,a,6269,a(flip),b,6408,a)]. given #5777 (H,wt=19): 6428 x * ((x \ y) * K(z,x \ y)) = y * K(z,x \ y). [para(6408(a,1),5924(a,2,2))]. given #5778 (H,wt=19): 6468 T(x * y,K(y,z)) / y = T((y * x) / y,T(y,z)). [hyper(74,a,6466,a,b,406,a)]. given #5779 (H,wt=19): 6470 T(x,y) / (z \ x) = z * K(((z \ x) \ 1) \ z,y). [hyper(236,a,4618,a(flip),b,6273,a(flip)),flip(a)]. given #5780 (H,wt=19): 6472 T(x * K((y \ 1) \ x,z),y) = y \ T(x * y,z). [para(6273(a,1),4635(a,1,1))]. given #5781 (H,wt=19): 6484 (x * ((y / z) / x)) * z = y * K(x,(x * z) \ y). [hyper(236,a,2164,a(flip),b,6424,a),flip(a)]. given #5782 (H,wt=19): 6485 x \ (y * K(z,x \ y)) = (x \ y) * K(z,x \ y). [hyper(72,a,6424,a,b,5028,a(flip))]. given #5783 (H,wt=19): 6487 ((x \ y) * z) * K(x,T(x \ y,z)) = (y / x) * z. [hyper(236,a,5568,a(flip),b,6442,a)]. given #5784 (H,wt=19): 6508 K(x * y,z) * (y * x) = K(y,x) * T(x * y,z). [hyper(4658,a,6234,a(flip))]. given #5785 (H,wt=19): 6509 x \ (y \ ((z \ (y * x)) * z)) = K((z / y) \ x,z). [para(4787(a,1),6276(a,1,2))]. given #5786 (H,wt=15): 6531 K((x / y) \ z,x) = K((y \ x) \ z,x). [hyper(236,a,6277,a(flip),b,6509,a(flip))]. given #5787 (H,wt=19): 6510 x * (K(y \ x,x) * (y \ 1)) = T(x * (y \ 1),x). [hyper(5593,a,6283,a)]. given #5788 (H,wt=19): 6527 K(x,x \ 1) / ((y * x) \ y) = ((y * x) \ y) \ 1. [hyper(74,a,6314,a(flip),b,6377,a(flip))]. given #5789 (H,wt=20): 6229 (x / y) * T(y,z) != u * w | u \ (x * K(y,z)) = w. [para(6200(a,2),545(a,1))]. given #5790 (H,wt=20): 6230 (x / y) * T(y,z) != u * w | (x * K(y,z)) / w = u. [para(6200(a,2),555(a,1))]. given #5791 (H,wt=20): 6372 T(x,R(y,z,z \ 1) \ (y * z)) = T(x,(z \ 1) \ 1). [para(391(a,1),6361(a,1,2,1)),flip(a)]. given #5792 (H,wt=16): 6533 T(x,R(y,z,z \ 1) \ (y * z)) = T(x,z). [hyper(236,a,3020,a(flip),b,6372,a)]. given #5793 (H,wt=20): 6401 T(x * (1 / y),(1 / y) \ 1) = L(y,y \ 1,x) \ x. [para(2767(a,2),6375(a,2,1))]. given #5794 (H,wt=16): 6534 L(x,x \ 1,y) \ y = T(y * (1 / x),x). [para(65(a,1),6401(a,1,2)),flip(a)]. given #5795 (H,wt=20): 6412 K(x,(y * (z * u)) \ (y * z)) = K(x,1 / L(u,z,y)). [para(137(a,1),6405(a,1,2,2))]. given #5796 (H,wt=20): 6455 (x * K(y,x)) * K(x,z) != u | K(y,x) * T(x,z) = u. [para(3138(a,1),6258(a,1,1))]. given #5797 (H,wt=20): 6467 T(x * y,K(y,z)) != u | K(z,y) * (x * T(y,z)) = u. [para(6236(a,1),5286(a,1))]. given #5798 (H,wt=20): 6471 x \ T(x * y,z) != y * u | K((x \ 1) \ y,z) = u. [para(6273(a,2),19(a,1))]. given #5799 (H,wt=20): 6479 K(x,(K(y,z) * u) \ 1) != w | K(x,u \ K(z,y)) = w. [para(5260(a,1),6474(a,1,2,1))]. given #5800 (H,wt=20): 6481 K(x,R(x,y,z) / u) != w | K(x,u \ R(x,y,z)) = w. [para(3275(a,1),6480(a,1))]. given #5801 (H,wt=20): 6483 x / (y / z) != u * K(z \ y,z) | x / (z \ y) = u. [para(6360(a,1),20(a,1))]. given #5802 (H,wt=20): 6489 x * K(y \ z,y) != u * (y \ z) | u * (z / y) = x. [para(6448(a,1),20(a,1)),flip(a)]. given #5803 (H,wt=20): 6499 K((K(x,y) * z) \ 1,u) != w | K(z \ K(y,x),u) = w. [para(5260(a,1),6495(a,1,1,1))]. given #5804 (H,wt=18): 6536 K(x \ 1,y) != z | K(x \ K(u \ 1,u),y) = z. [para(5436(a,1),6499(a,1))]. given #5805 (H,wt=20): 6503 K(L(x,y,z) / u,x) != w | K(u \ L(x,y,z),x) = w. [para(3186(a,1),6500(a,1))]. given #5806 (H,wt=20): 6518 T(L(x \ 1,x,y) \ 1,z) = ((y * x) \ y) \ K(x,z). [para(158(a,2),6316(a,1,1,1))]. given #5807 (H,wt=20): 6524 K(x \ 1,y) * ((z * x) \ z) = L(T(x \ 1,y),x,z). [hyper(236,a,351,a(flip),b,6327,a)]. given #5808 (H,wt=21): 6198 (x / T(y,z)) * K(y,y \ x) = (y * (x / y)) / T(y,z). [hyper(18,a,4357,a,b,6188,a)]. given #5809 (H,wt=21): 6212 (x * K(y,z)) * L(y,u,w) = x * (K(y,z) * L(y,u,w)). [para(6190(a,1),444(a,1,2,1))]. given #5810 (H,wt=21): 6256 T(x,1 / y) / ((x / y) \ x) = (x / y) * K(x,1 / y). [para(6220(a,1),5724(a,1,1))]. given #5811 (H,wt=17): 6539 (x / y) * K(x,1 / y) = T(x,1 / y) / y. [para(65(a,1),6256(a,1,2)),flip(a)]. given #5812 (H,wt=21): 6284 T(x,y) * T(T(x,y) \ y,z) = T(y * K(x \ y,z),y). [para(6219(a,1),1584(a,2,1))]. given #5813 (H,wt=19): 6540 x \ T(x * K(y \ x,z),x) = K(T(y,x) \ x,z). [hyper(72,a,6284,a(flip),b,6219,a(flip))]. given #5814 (H,wt=19): 6541 K(T(x / y,x) \ x,z) = x \ T(x * K(y,z),x). [para(65(a,1),6540(a,1,2,1,2,1)),flip(a)]. given #5815 (H,wt=21): 6318 (1 / ((x * y) \ x)) * K(y,z) = T(1 / ((x * y) \ x),z). [para(6293(a,1),4964(a,1,2))]. given #5816 (H,wt=21): 6347 K(x \ 1,y) * L(1 / x,x,z) = L(T(1 / x,y),x,z). [para(6346(a,1),4969(a,1,1))]. given #5817 (H,wt=21): 6385 (1 / ((x * y) \ x)) * T(z,y) = z * (1 / ((x * y) \ x)). [para(6366(a,1),3024(a,1,2))]. given #5818 (H,wt=21): 6393 T(x / L(y \ 1,y,z),y \ 1) = L(y \ 1,y,z) \ x. [hyper(280,a,6379,a),flip(a)]. given #5819 (H,wt=21): 6415 K(x,((y \ z) \ z) \ u) = K(x,(u \ T(y,y \ z)) \ 1). [para(258(a,2),6407(a,1,2,1))]. given #5820 (H,wt=19): 6543 K(x,T(y,y \ z) \ u) = K(x,((y \ z) \ z) \ u). [hyper(236,a,6408,a(flip),b,6415,a),flip(a)]. given #5821 (H,wt=21): 6416 K(x,R(y,z,z \ 1) \ y) = K(x,a(y,z,z \ 1) \ 1). [para(689(a,1),6407(a,1,2,1))]. given #5822 (H,wt=21): 6418 (((x * y) \ x) * (x * y)) \ 1 = x \ K(x * y,y \ 1). [para(6407(a,1),5730(a,2,2))]. given #5823 (H,wt=21): 6429 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = x * K(y,y \ x). [para(6408(a,1),6016(a,2,2))]. given #5824 (H,wt=19): 6546 (((x \ y) \ 1) \ x) \ (y * (x / y)) = (x \ y) \ 1. [hyper(72,a,5079,a(flip),b,6429,a)]. given #5825 (H,wt=21): 6473 K(T(K(x,y) * z,u) \ 1,w) = T(K(z \ K(y,x),w),u). [para(6301(a,1),5675(a,2,1))]. given #5826 (H,wt=15): 6547 T(K(x \ K(x,y),z),y) = K(x \ 1,z). [para(4943(a,1),6473(a,1,1,1)),flip(a)]. given #5827 (H,wt=17): 6548 K(x \ K(x,y),z) * y = y * K(x \ 1,z). [para(6547(a,1),119(a,1,2)),flip(a)]. given #5828 (H,wt=21): 6525 K(x,y) * ((z * (1 / x)) \ z) = T((z * (1 / x)) \ z,y). [para(65(a,1),6327(a,1,1,1))]. given #5829 (H,wt=21): 6532 (1 / ((x * y) \ x)) * K(y,y \ 1) = ((x * y) \ x) \ 1. [hyper(3634,a,6527,a)]. given #5830 (H,wt=21): 6545 x \ K(x * (y \ 1),(y \ 1) \ 1) = (y * (x / y)) \ 1. [para(6002(a,1),6418(a,1,1)),flip(a)]. given #5831 (H,wt=17): 6552 x \ K(x * (y \ 1),y) = (y * (x / y)) \ 1. [para(5233(a,1),6545(a,1,2))]. given #5832 (H,wt=15): 6553 (x * (y / x)) \ 1 = y \ K(x \ y,x). [para(6008(a,1),6552(a,1,2)),flip(a)]. given #5833 (H,wt=22): 6205 L(x \ 1,x,y * K(x,z)) = (y * T(x,z)) \ (y * K(x,z)). [para(6188(a,1),158(a,2,1))]. given #5834 (H,wt=22): 6281 x * T(x \ y,z) != u * w | (y * K(x \ y,z)) / w = u. [para(6219(a,2),555(a,1))]. given #5835 (H,wt=22): 6326 x * K(y \ 1,x * y) != z | ((x * y) \ x) * (x * y) = z. [para(6294(a,1),399(a,1,2))]. given #5836 (H,wt=22): 6356 (x / (y * K(z,y))) * u != w | ((x / y) * K(y,z)) * u = w. [para(6266(a,1),290(a,1,1,2))]. given #5837 (H,wt=22): 6389 (x \ (x / y)) * T(z,y \ 1) != u | z * (x \ (x / y)) = u. [para(6369(a,1),220(a,1,2))]. given #5838 (H,wt=22): 6409 K(x,((y * z) * u) \ (y * (z * u))) = K(x,a(y,z,u) \ 1). [para(135(a,1),6404(a,1,2,2))]. given #5839 (H,wt=22): 6459 T(x,x \ T(x * y,y \ 1)) = T(x,L(y \ 1,y,x) \ 1). [para(6399(a,1),4070(a,1,2,2))]. given #5840 (H,wt=15): 6556 T(x,x \ T(x * y,y \ 1)) = T(x,y). [hyper(236,a,6383,a(flip),b,6459,a)]. given #5841 (H,wt=19): 6558 T(x / y,(x / y) \ T(x,y \ 1)) = T(x / y,y). [para(16(a,1),6556(a,1,2,2,1))]. given #5842 (H,wt=17): 6559 T(x / y,(x / y) \ T(x,y \ 1)) = y \ x. [hyper(236,a,121,a(flip),b,6558,a)]. given #5843 (H,wt=22): 6494 x \ (y \ ((z \ (y * x)) * z)) != u | K((y \ z) \ x,z) = u. [para(1235(a,1),6280(a,1,2))]. given #5844 (H,wt=18): 6560 K((x / y) \ z,x) != u | K((y \ x) \ z,x) = u. [para(6509(a,1),6494(a,1))]. given #5845 (H,wt=22): 6512 x * ((y \ (x \ z)) * y) != z * u | K((x * y) \ z,y) = u. [para(6307(a,1),19(a,1))]. given #5846 (H,wt=22): 6535 K(x,L(L(y \ 1,y,z),z * y,u)) = K(x,1 / L(y,z,u)). [para(382(a,2),6412(a,1,2))]. given #5847 (H,wt=22): 6554 L(x \ 1,x,y * K(x,z)) != u | L(x \ 1,T(x,z),y) = u. [para(6205(a,2),5065(a,1))]. given #5848 (H,wt=22): 6555 K(x,L(y \ L(y,z,u),y,u * z)) = K(x,a(u,z,y) \ 1). [para(461(a,2),6409(a,1,2))]. given #5849 (H,wt=22): 6561 K(x,L(L(1 / y,y,z),z * y,u)) = K(x,1 / L(y,z,u)). [hyper(236,a,5246,a,b,6535,a(flip)),flip(a)]. given #5850 (H,wt=23): 6228 (x * (y * z)) * K(L(z,y,x),u) = (x * y) * T(L(z,y,x),u). [para(137(a,1),6200(a,1,1)),flip(a)]. given #5851 (H,wt=23): 6232 K(x \ 1,x) * (y * K(x,z)) = (y / x) * (1 / (1 / T(x,z))). [para(6200(a,1),3183(a,1,2))]. given #5852 (H,wt=21): 6562 (x / y) * (1 / (1 / T(y,z))) = x * ((y \ 1) * T(y,z)). [hyper(236,a,5674,a(flip),b,6232,a(flip))]. given #5853 (H,wt=21): 6563 (x / y) * T(1 / (1 / y),z) = x * ((y \ 1) * T(y,z)). [para(2482(a,1),6562(a,1,2))]. given #5854 (H,wt=23): 6373 T(x,y \ z) / ((z \ y) \ x) = x / ((x \ ((z \ y) \ x)) * x). [para(6361(a,1),4210(a,1,1))]. given #5855 (H,wt=23): 6452 T(L(K(x,y),x,z),x * u) != w | (x * u) \ (T(x,y) * u) = w. [para(6248(a,2),280(a,1,1))]. given #5856 (H,wt=23): 6475 K(x,L(y,z,u) \ 1) != w | K(x,(u * (z * y)) \ (u * z)) = w. [para(28(a,2),6474(a,1,2,1))]. given #5857 (H,wt=23): 6477 K(x,L(y \ z,y,u) \ 1) != w | K(x,(u * z) \ (u * y)) = w. [para(105(a,2),6474(a,1,2,1))]. given #5858 (H,wt=23): 6491 (x * K(y * z,u)) * (z * y) = x * (K(y * z,u) * (z * y)). [para(6490(a,1),103(a,1,2))]. given #5859 (H,wt=23): 6497 K(L(x \ y,x,z) \ 1,u) != w | K((z * y) \ (z * x),u) = w. [para(105(a,2),6495(a,1,1,1))]. given #5860 (H,wt=18): 6565 L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z). [hyper(6497,a,6303,a),flip(a)]. given #5861 (H,wt=17): 6572 L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z). [para(105(a,2),6565(a,2,1))]. given #5862 (H,wt=18): 6568 L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). [para(14(a,1),6565(a,2,1,1))]. given #5863 (H,wt=18): 6570 K((x * (y / z)) \ (x * y),u) = L(K(z,u),y,x). [para(65(a,1),6565(a,1,1,1)),flip(a)]. given #5864 (H,wt=15): 6577 K(L(x,y / x,z),u) = L(K(x,u),y,z). [hyper(236,a,743,a,b,6570,a(flip)),flip(a)]. given #5865 (H,wt=15): 6579 L(K(x,y),z * x,u) = K(L(x,z,u),y). [para(15(a,1),6577(a,1,1,2)),flip(a)]. given #5866 (H,wt=17): 6580 K(x,L(y,z / y,u)) = L(K(y,x),z,u) \ 1. [para(6577(a,1),5093(a,1,1)),flip(a)]. given #5867 (H,wt=15): 6582 K(x,L(y,z / y,u)) = L(K(x,y),z,u). [hyper(236,a,6040,a(flip),b,6580,a)]. given #5868 (H,wt=15): 6584 L(K(x,y),z * y,u) = K(x,L(y,z,u)). [para(15(a,1),6582(a,1,2,2)),flip(a)]. given #5869 (H,wt=14): 6590 K(1 / x,L(x,y,z)) = K(1 / x,x). [hyper(236,a,4550,a(flip),b,6584,a(flip))]. given #5870 (H,wt=14): 6591 K(x,L(1 / y,y,z)) = K(x,1 / y). [hyper(236,a,4534,a(flip),b,6584,a(flip))]. given #5871 (H,wt=17): 6585 L(K(x,y \ z),z,u) = K(x,L(y \ z,y,u)). [para(62(a,1),6582(a,1,2,2)),flip(a)]. given #5872 (H,wt=18): 6575 L(K(x \ y,z),y,x \ 1) = K((1 / x) * y,z). [para(2920(a,1),6572(a,2,1))]. given #5873 (H,wt=18): 6581 (x * (y * z)) / K(L(y,z,x),z) = x * (z * y). [para(6579(a,1),495(a,1,2))]. given #5874 (H,wt=18): 6583 K(x,L(y,z / y,u)) != w | L(K(x,y),z,u) = w. [para(6580(a,2),6042(a,1))]. given #5875 (H,wt=18): 6587 K(x,(y * (z / u)) \ (y * z)) = L(K(x,u),z,y). [para(106(a,1),6582(a,1,2))]. given #5876 (H,wt=18): 6593 L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)). [para(105(a,1),6585(a,2,2))]. given #5877 (H,wt=15): 6598 K(x,(y * z) \ (y * x)) = K(x,z \ x). [hyper(6253,a,6593,a),flip(a)]. given #5878 (H,wt=13): 6602 K(x,(y \ 1) \ x) = K(x,y * x). [para(125(a,1),6598(a,1,2)),flip(a)]. given #5879 (H,wt=11): 6605 K(x,y * x) = K(x,x * y). [hyper(236,a,5636,a(flip),b,6602,a(flip))]. given #5880 (H,wt=11): 6606 K(x,x * (y / x)) = K(x,y). [para(16(a,1),6605(a,1,2)),flip(a)]. given #5881 (H,wt=15): 6600 K(x,(y \ z) \ x) = K(x,z \ (y * x)). [para(14(a,1),6598(a,1,2,1)),flip(a)]. given #5882 (H,wt=15): 6609 K(x,T(y * x,z)) = K(x,T(x * y,z)). [para(4624(a,1),6606(a,1,2)),flip(a)]. given #5883 (H,wt=16): 6608 K(x,y) * K(y,x * y) = y \ L(y,x,y). [para(6605(a,2),5712(a,1,2))]. given #5884 (H,wt=17): 6603 T(x,(y * z) \ (y * x)) = x * K(x,z \ x). [para(6598(a,1),4887(a,2,2))]. given #5885 (H,wt=15): 6610 T(x,(y * z) \ (y * x)) = T(x,z \ x). [hyper(236,a,4887,a,b,6603,a)]. given #5886 (H,wt=15): 6611 T(x,(y \ z) \ x) = T(x,z \ (y * x)). [para(14(a,1),6610(a,1,2,1)),flip(a)]. given #5887 (H,wt=18): 6595 L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)). [para(450(a,1),6585(a,2,2))]. given #5888 (H,wt=18): 6599 K(x,(y * z) \ (y * x)) != u | K(x,z \ x) = u. [para(6593(a,1),6253(a,1))]. given #5889 (H,wt=19): 6601 K(x \ y,(x * z) \ y) = K(x \ y,z \ (x \ y)). [para(14(a,1),6598(a,1,2,2))]. given #5890 (H,wt=19): 6604 K(x,(K(y,z) * u) \ x) = K(x,u \ (K(z,y) * x)). [para(5268(a,1),6598(a,1,2,1)),flip(a)]. given #5891 (H,wt=20): 6567 L(K(x \ y,z),y,y \ 1) = K(((y \ 1) * x) \ 1,z). [hyper(236,a,5734,a(flip),b,6565,a)]. given #5892 (H,wt=20): 6569 L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u). [para(14(a,1),6565(a,2,1,2))]. given #5893 (H,wt=20): 6574 L(K(L(x,y,z) \ x,u),x,z * y) = K(a(z,y,x),u). [para(1566(a,2),6572(a,2,1))]. given #5894 (H,wt=20): 6578 K(L(x,y / x,z),u) = (z * y) \ (z * (y * K(x,u))). [hyper(236,a,28,a(flip),b,6577,a)]. given #5895 (H,wt=18): 6617 K(L(x,y / x,z),u) != w | L(K(x,u),y,z) = w. [para(6578(a,2),447(a,1))]. given #5896 (H,wt=20): 6586 (x * y) * K(z,L(u,y / u,x)) = x * (y * K(z,u)). [para(6582(a,2),103(a,1,2))]. given #5897 (H,wt=20): 6588 K(x,(y * ((y \ z) / u)) \ z) = L(K(x,u),y \ z,y). [para(511(a,1),6582(a,1,2))]. given #5898 (H,wt=20): 6592 K(1 / L(x,y,z),L(x,u,w)) = L(K(1 / x,x),y,z). [para(6590(a,1),6150(a,1,1)),flip(a)]. given #5899 (H,wt=17): 6619 K(1 / L(x,y,z),L(x,u,w)) = K(1 / x,x). [hyper(236,a,4550,a(flip),b,6592,a)]. given #5900 (H,wt=19): 6621 L(x,y,z) * K(1 / x,x) = 1 / (1 / L(x,y,z)). [para(6619(a,1),1805(a,1,2))]. given #5901 (H,wt=20): 6594 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). [para(227(a,1),6585(a,2,2))]. given #5902 (H,wt=20): 6597 K(x,L(y \ z,y,u)) != w | L(K(x,y \ z),z,u) = w. [para(62(a,1),6583(a,1,2,2))]. given #5903 (H,wt=21): 6566 L(K(x \ y,z),y,u) != w | K((u * x) \ (u * y),z) = w. [para(6303(a,1),6497(a,1))]. given #5904 (H,wt=21): 6589 L(K(x,y),z * T(y,u),w) = K(x,L(y,z * K(y,u),w)). [para(6194(a,1),6582(a,1,2,2)),flip(a)]. given #5905 (H,wt=21): 6596 L(K(x \ y,z),y,x \ 1) != u | K((x \ 1) * y,z) = u. [para(6575(a,2),5634(a,1))]. given #5906 (H,wt=21): 6622 K(x,(y * z) \ (y * u)) != w | L(K(x,z \ u),u,y) = w. [para(105(a,1),6597(a,1,2))]. given #5907 (H,wt=21): 6624 L(K(x,y),z,u) != w | K((u * (z / x)) \ (u * z),y) = w. [para(65(a,1),6566(a,1,1,1))]. given #5908 (H,wt=22): 6571 L(K(x \ T(y,z),u),T(y,z),z) = K((z * x) \ (y * z),u). [para(119(a,1),6565(a,2,1,2))]. given #5909 (H,wt=22): 6613 L(T(K(x,(y \ z) \ u),w),u,y) = T(K(x,z \ (y * u)),w). [para(6595(a,1),40(a,2,1))]. given #5910 (H,wt=22): 6614 K(x,y \ (z * K(u,z))) != w | K(x,(z \ y) \ K(u,z)) = w. [para(6595(a,1),5596(a,1)),flip(b)]. given #5911 (H,wt=23): 6549 T(x,y) \ T((z * (1 / x)) \ z,y) = x \ ((z * (1 / x)) \ z). [hyper(72,a,6525,a(flip),b,4857,a)]. given #5912 (H,wt=23): 6551 (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = (1 / ((x * y) \ x)) / y. [hyper(74,a,6532,a(flip),b,6218,a)]. given #5913 (H,wt=23): 6564 (x * K(y * z,u)) * (z * y) = x * (K(z,y) * T(y * z,u)). [para(6508(a,1),6491(a,2,2))]. given #5914 (H,wt=19): 6625 (K(x,y) * K(x * y,z)) * (y * x) = T(x * y,z). [hyper(236,a,5268,a(flip),b,6564,a)]. given #5915 (H,wt=23): 6576 (x * y) * K(z \ (x * y),u) = x * (y * K((x \ z) \ y,u)). [para(6568(a,1),103(a,1,2))]. given #5916 (H,wt=23): 6612 K((x \ y) \ z,u \ (x * z)) = K(y \ (x * z),(x \ u) \ z). [hyper(236,a,6568,a(flip),b,6595,a(flip))]. given #5917 (H,wt=21): 6627 K((x \ 1) \ y,z \ (x * y)) = K(x * y,(x \ z) \ y). [para(50(a,1),6612(a,2,1))]. given #5918 (H,wt=23): 6615 x * ((x \ y) * K(z \ (x \ y),u)) = y * K((x * z) \ y,u). [para(6569(a,1),433(a,1,2)),flip(a)]. given #5919 (H,wt=23): 6623 K(x,(y * z) \ u) != w | L(K(x,z \ (y \ u)),y \ u,y) = w. [para(227(a,1),6597(a,1,2))]. given #5920 (H,wt=24): 6170 K((x \ (y / (z \ 1))) \ 1,y) != u | K((x \ (y * z)) \ 1,y) = u. [para(6030(a,2),6032(a,1))]. given #5921 (H,wt=19): 6629 K((x \ (y * z)) \ 1,y) = K((y / (z \ 1)) \ x,y). [hyper(6170,a,6269,a)]. given #5922 (H,wt=17): 6630 K((x / (y \ 1)) \ z,x) = K((x * y) \ z,x). [hyper(6495,a,6629,a),flip(a)]. given #5923 (H,wt=24): 6243 R(x * y,K(y,x),K(x,z)) \ (y * T(x,z)) = K(y,x) * K(x,z). [para(6201(a,1),497(a,1,2))]. given #5924 (H,wt=24): 6380 T(x,a(y * z,(y * z) \ y,z)) = T(x,(((y * z) \ y) * z) \ 1). [para(92(a,1),6365(a,1,2))]. given #5925 (H,wt=24): 6458 T(x,a(y,z,z \ 1) \ 1) != u | T(x,R(y,z,z \ 1) \ y) = u. [para(688(a,1),6362(a,1,2,1))]. given #5926 (H,wt=24): 6486 x * ((y * (x \ z)) / y) != u * w | u \ (z * K(y,x \ z)) = w. [para(6424(a,1),545(a,1))]. given #5927 (H,wt=24): 6493 x \ (y * (z * T(z \ (y \ x),u))) != w | K((y * z) \ x,u) = w. [para(857(a,1),6280(a,1,2))]. given #5928 (H,wt=24): 6573 L(K((K(x,y) * z) \ u,w),u,K(y,x)) = K(z \ (K(y,x) * u),w). [para(5268(a,1),6565(a,2,1,1))]. given #5929 (H,wt=24): 6616 L(K((x \ y) \ (z \ u),y),z \ u,z) = K((z * (y / x)) \ u,y). [para(6531(a,1),6569(a,1,1))]. given #5930 (H,wt=19): 6631 K((x * (y / z)) \ u,y) = K((x * (z \ y)) \ u,y). [hyper(236,a,6569,a(flip),b,6616,a(flip))]. given #5931 (H,wt=15): 6632 K((x * (y / x)) \ z,y) = K(y \ z,y). [para(14(a,1),6631(a,2,1,1))]. given #5932 (H,wt=19): 6633 K((x * y) \ z,y * x) = K((y * x) \ z,y * x). [para(15(a,1),6632(a,1,1,1,2))]. given #5933 (H,wt=24): 6618 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(u * K(z,y)) \ w). [para(5266(a,1),6588(a,1,2,1,2)),flip(a)]. given #5934 (H,wt=25): 4756 x \ L(y * K(z,z \ 1),u,w) = (x \ L(y,u,w)) * K(z,z \ 1). [para(4743(a,2),4494(a,1,2))]. given #5935 (H,wt=25): 4773 (1 / x) * ((1 / x) * L(x,y,z)) = (x \ 1) * (L(x,y,z) * (1 / x)). [para(4771(a,1),4137(a,1,1)),flip(a)]. given #5936 (H,wt=25): 4778 x \ ((x \ L(x,y,z)) * T(x,u)) = T(x,u) * (x \ (x \ L(x,y,z))). [hyper(72,a,4769,a(flip),b,1001,a)]. given #5937 (H,wt=25): 4899 K(a(x,y,z),z \ L(z,y,x)) = a(x,y,z) \ ((a(x,y,z) \ 1) \ 1). [para(3432(a,1),4829(a,2,2))]. given #5938 (H,wt=23): 6636 a(x,y,z) \ K(a(x,y,z),z \ L(z,y,x)) = 1 / a(x,y,z). [para(4899(a,2),1823(a,1,2))]. given #5939 (H,wt=25): 5142 K(x,R(T(y,x * z),x,z)) != u | K(x,(x * z) \ ((x * y) * z)) = u. [para(984(a,1),5001(a,1,2))]. given #5940 (H,wt=25): 5172 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) != u | L(K(z,y),y \ 1,x) = u. [para(4844(a,1),447(a,1,2,2))]. given #5941 (H,wt=25): 5333 K(R(x,y,y \ 1),y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(768(a,1),5087(a,2,2))]. given #5942 (H,wt=20): 6637 K(x,y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(6014(a,1),5333(a,1,1))]. given #5943 (H,wt=19): 6638 1 / ((x * (L(x,y,z) \ 1)) * (x \ 1)) = L(x,y,z). [hyper(236,a,4445,a(flip),b,6637,a(flip))]. given #5944 (H,wt=17): 6639 1 / ((L(x,y,z) \ x) * (x \ 1)) = L(x,y,z). [para(1211(a,1),6638(a,1,2,1))]. given #5945 (H,wt=17): 6640 (L(x,y,z) \ x) * (x \ 1) = L(x,y,z) \ 1. [para(6639(a,1),65(a,1,1)),flip(a)]. given #5946 (H,wt=17): 6642 (L(x,y,z) \ x) \ (L(x,y,z) \ 1) = x \ 1. [hyper(80,a,6640,a)]. given #5947 (H,wt=21): 6641 (L(1 / x,y,z) \ 1) / x = L(1 / x,y,z) \ (1 / x). [hyper(312,a,6640,a)]. given #5948 (H,wt=25): 5460 ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * K(z,y \ 1). [para(4876(a,1),2173(a,2,2))]. given #5949 (H,wt=19): 6644 (x * K(y,z \ 1)) * z = (x * z) * K(y,z \ 1). [para(5454(a,1),5460(a,1,1))]. given #5950 (H,wt=23): 6648 (x * (y \ 1)) * K(z,(y \ 1) \ 1) = (x * K(z,y)) * (y \ 1). [para(5233(a,1),6644(a,1,1,2)),flip(a)]. given #5951 (H,wt=19): 6649 (x * K(y,z)) * (z \ 1) = (x * (z \ 1)) * K(y,z). [para(5233(a,1),6648(a,1,2)),flip(a)]. given #5952 (H,wt=25): 5578 (K(x,y) \ 1) * ((y \ 1) \ 1) != z | R(K(x,y) \ y,y \ 1,y) = z. [para(5545(a,1),2815(a,1,1))]. given #5953 (H,wt=25): 5615 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) != v5 | K(w,R(x,y,z)) = v5. [para(42(a,2),5212(a,1,2,1))]. given #5954 (H,wt=25): 5625 L(T(x,y),z,u) \ (L(x,z,u) * w) != v5 | K(y,L(x,z,u)) * w = v5. [para(40(a,2),5370(a,1,1))]. given #5955 (H,wt=25): 5665 K(x,y \ z) * K(z \ y,y \ z) = (T(y \ z,x) \ 1) * (y \ z). [para(2712(a,1),5018(a,1,2))]. given #5956 (H,wt=25): 5680 (x * (y * T(y \ z,u))) / (x * z) = K(((x * y) / (x * z)) \ 1,u). [para(856(a,1),5149(a,1,1))]. given #5957 (H,wt=25): 5685 T(x,y) \ T(z * T(z \ x,u),y) = K((T(x,y) \ T(z,y)) \ 1,u). [para(2053(a,1),5150(a,1,2))]. given #5958 (H,wt=21): 6651 K((T(x,y) \ T(z,y)) \ 1,x) = K((x \ z) \ 1,T(x,y)). [hyper(236,a,5814,a(flip),b,5685,a(flip))]. given #5959 (H,wt=19): 6652 K((T(x,y) \ T(z,y)) \ 1,x) = K(z \ x,T(x,y)). [hyper(236,a,6269,a(flip),b,6651,a)]. given #5960 (H,wt=17): 6653 K(T(x,y) \ T(z,y),z) = K(x \ z,T(z,y)). [hyper(6495,a,6652,a)]. given #5961 (H,wt=19): 6654 K(x,T(y,z) \ T(x,z)) = 1 / K(y \ x,T(x,z)). [para(6653(a,1),5102(a,1,2)),flip(a)]. given #5962 (H,wt=17): 6656 K(x,T(y,z) \ T(x,z)) = K(T(x,z),y \ x). [hyper(236,a,5102,a(flip),b,6654,a)]. given #5963 (H,wt=20): 6657 K(x,T(y,z) \ T(x,z)) != u | K(T(x,z),y \ x) = u. [para(6654(a,2),5106(a,1))]. given #5964 (H,wt=25): 5823 (x * y) * K(L(z,u,w),z \ 1) != v5 | x * (y * K(z,z \ 1)) = v5. [para(5821(a,2),4558(a,1,2))]. given #5965 (H,wt=25): 5873 K(x,R(y / z,z,z \ u) \ 1) != w | K(x,u / (y * (z \ u))) = w. [para(484(a,2),5871(a,1,2,1))]. given #5966 (H,wt=25): 5922 (x * (y * ((z * (y \ (x \ u))) / z))) / u = K(z,((x * y) / u) \ 1). [para(1124(a,1),5453(a,1,1))]. given #5967 (H,wt=21): 6658 (x * (y * ((x \ z) / y))) / z = K(y,((x * y) / z) \ 1). [para(14(a,1),5922(a,1,1,2,2,1))]. given #5968 (H,wt=19): 6659 (x * (y * ((x \ z) / y))) / z = K(y,z / (x * y)). [hyper(236,a,5795,a(flip),b,6658,a)]. given #5969 (H,wt=22): 6660 (x * (y * ((x \ z) / y))) / z != u | K(y,z / (x * y)) = u. [para(6658(a,2),5871(a,1))]. given #5970 (H,wt=25): 6056 T(x \ y,z) \ T((x \ y) * (y \ x),z) = y \ (x * K(z,x \ y)). [hyper(236,a,2097,a,b,4987,a(flip)),flip(a)]. given #5971 (H,wt=25): 6065 L(x,y,z) / L(L(x,y,z),u,w) = L(L(x,u,w),y,z) \ L(x,y,z). [para(45(a,1),6062(a,2,1))]. given #5972 (H,wt=25): 6085 (K(x \ 1,y) * z) * u != w * (z * u) | K(R(x,z,u) \ 1,y) = w. [para(5902(a,1),20(a,1))]. given #5973 (H,wt=25): 6086 (x * y) * z != x * (y * K(u \ 1,w)) | K(L(u,y,x) \ 1,w) = z. [para(5907(a,1),19(a,1)),flip(a)]. given #5974 (H,wt=25): 6090 (x * y) * K(z \ 1,L(z,u,w)) = x * (y * K(z \ 1,L(z,v5,v6))). [para(5965(a,2),5967(a,2,2,2))]. given #5975 (H,wt=20): 6664 K(L(x,y,z) \ 1,L(x,u,w)) = K(x \ 1,L(x,v5,v6)). [hyper(6086,a,6090,a)]. given #5976 (H,wt=25): 6091 K(x,y) \ ((x * y) * z) != (y * x) * u | L(z,x * y,K(y,x)) = u. [para(5977(a,1),19(a,1))]. given #5977 (H,wt=25): 6097 (x * K(y,z)) \ K(x * K(y,z),x \ K(z,y)) = 1 / (x * K(y,z)). [para(5102(a,1),6096(a,1,2,2,2))]. given #5978 (H,wt=25): 6099 (1 / (1 / x)) / (x * (T(x,y) \ 1)) = x / (T(x,y) \ ((x \ 1) \ 1)). [para(1533(a,1),6098(a,2,2))]. given #5979 (H,wt=21): 6668 x / (T(x,y) \ ((x \ 1) \ 1)) = (1 / (1 / x)) / K(y,x). [para(4828(a,2),6099(a,1,2)),flip(a)]. given #5980 (H,wt=19): 6669 x / (T(x,y) \ ((x \ 1) \ 1)) = T(1 / (1 / x),y). [hyper(236,a,5247,a(flip),b,6668,a)]. given #5981 (H,wt=17): 6670 x / (x * (1 / T(x,y))) = T(1 / (1 / x),y). [para(3312(a,1),6669(a,1,2))]. given #5982 (H,wt=17): 6671 T(1 / (1 / x),y) \ x = x * (1 / T(x,y)). [para(6670(a,1),65(a,1,1))]. given #5983 (H,wt=25): 6107 ((x \ T(x * (y / z),u)) * z) / y = K((((x \ 1) * z) / y) \ 1,u). [para(1421(a,1),5681(a,1,1))]. given #5984 (H,wt=25): 6111 R(R(K(x,y),x,x \ z),z,u) = K((((x \ z) * u) / (z * u)) \ 1,y). [para(544(a,1),5904(a,1,1,1)),flip(a)]. given #5985 (H,wt=20): 6672 K((((x \ y) * z) / (y * z)) \ 1,u) = R(K(x,u),y,z). [para(3968(a,1),6111(a,1,1)),flip(a)]. given #5986 (H,wt=18): 6673 K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y). [hyper(5825,a,6672,a)]. given #5987 (H,wt=15): 6676 K(R(x,x \ y,z),u) = R(K(x,u),y,z). [para(110(a,2),6673(a,1,1))]. given #5988 (H,wt=12): 6677 K(R(x,x \ 1,y),z) = K(x,z). [hyper(236,a,338,a(flip),b,6676,a)]. given #5989 (H,wt=15): 6678 R(K(x,y),x * z,u) = K(R(x,z,u),y). [para(13(a,1),6676(a,1,1,2)),flip(a)]. given #5990 (H,wt=14): 6681 K(R(x,y,z),x \ 1) = K(x,x \ 1). [hyper(236,a,3587,a(flip),b,6678,a(flip))]. given #5991 (H,wt=17): 6683 R(x,y,z) * (1 / R(x,y,z)) = K(x,x \ 1). [hyper(236,a,3566,a,b,6681,a(flip)),flip(a)]. given #5992 (H,wt=17): 6684 R(x,y,z) \ K(x,x \ 1) = 1 / R(x,y,z). [hyper(72,a,6681,a(flip),b,3566,a)]. given #5993 (H,wt=17): 6686 (1 / x) * (R(x,y,z) \ x) = 1 / R(x,y,z). [hyper(17,a,3624,a,b,6683,a),flip(a)]. given #5994 (H,wt=18): 6675 R(K(x / y,z),x,u) = K((x * u) / (y * u),z). [para(65(a,1),6673(a,1,1,2,1)),flip(a)]. given #5995 (H,wt=18): 6689 R(K(x / (y / z),u),x,z) = K((x * z) / y,u). [para(16(a,1),6675(a,2,1,2))]. given #5996 (H,wt=20): 6679 K(R(x,x \ y,z),u) * (y * z) = (K(x,u) * y) * z. [para(6676(a,2),113(a,1,1))]. given #5997 (H,wt=20): 6688 (1 / x) \ (1 / R(x,y,z)) != u | R(x,y,z) \ x = u. [para(6686(a,1),283(a,1,2)),flip(b)]. given #5998 (H,wt=15): 6690 (x \ R(x,y,z)) \ 1 = R(x,y,z) \ x. [hyper(6688,a,4712,a),flip(a)]. given #5999 (H,wt=17): 6691 (x \ 1) \ (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(6688,a,4711,a),flip(a)]. given #6000 (H,wt=20): 6692 (x \ 1) \ (R(x,y,z) \ 1) != u | R(x,y,z) \ x = u. [para(4711(a,1),6688(a,1))]. given #6001 (H,wt=21): 6682 R(R(K(x,y),z,u),x * w,v5) = R(K(R(x,w,v5),y),z,u). [para(6678(a,1),46(a,1,1)),flip(a)]. given #6002 (H,wt=21): 6687 (R(x,y,z) \ 1) * ((x \ 1) \ 1) = (1 / R(x,y,z)) * x. [para(6684(a,1),4580(a,1,1)),flip(a)]. given #6003 (H,wt=21): 6693 K(x,(R(y,z,u) \ y) \ x) = K(x,x * (y \ R(y,z,u))). [para(6690(a,1),5636(a,1,2,1))]. given #6004 (H,wt=23): 6680 K(R(x,K(x,y) * (x \ z),u),w) = R(K(x,w),K(x,y) * z,u). [para(5195(a,1),6676(a,1,1,2))]. given #6005 (H,wt=25): 6113 T(((x * y) / x) * (y \ z),z) / z = K(x,(T(y \ z,z) / z) \ 1). [para(826(a,1),5923(a,1,1,1))]. given #6006 (H,wt=21): 6694 K(x,(T(y \ z,z) / z) \ 1) = T(K(x,y) * z,z) / z. [para(5202(a,1),6113(a,1,1,1)),flip(a)]. given #6007 (H,wt=21): 6695 K(x,(T(y \ z,z) / z) \ 1) = z \ T(z * K(x,y),z). [hyper(236,a,4616,a(flip),b,6694,a)]. given #6008 (H,wt=19): 6696 K(x,y / T(z \ y,y)) = y \ T(y * K(x,z),y). [hyper(5871,a,6695,a)]. given #6009 (H,wt=19): 6697 K(x,T(y / z,y) \ y) = y \ T(y * K(x,z),y). [para(4363(a,1),6696(a,1,2))]. given #6010 (H,wt=19): 6698 K(T(x / y,x) \ x,z) = K(y,T(x / z,x) \ x). [hyper(236,a,6541,a,b,6697,a),flip(a)]. given #6011 (H,wt=25): 6118 (K(x,y) * z) \ (K(x,y) * ((1 / x) * z)) = T(1 / x,K(x,y) * z). [hyper(394,a,6115,a,b,xx),flip(a)]. given #6012 (H,wt=20): 6699 L(T(1 / x,y),y,K(x,z)) = T(1 / x,K(x,z) * y). [hyper(718,a,6118,a)]. given #6013 (H,wt=24): 6700 L(T(K(x,y),z),z,K(x,u)) = K(T(1 / x,K(x,u) * z) \ 1,y). [para(6699(a,1),5910(a,1,1,1)),flip(a)]. given #6014 (H,wt=20): 6701 L(T(K(x,y),z),z,K(x,u)) = T(K(x,y),K(x,u) * z). [hyper(236,a,5676,a(flip),b,6700,a)]. given #6015 (H,wt=25): 6125 x * (K(x,y) * ((x \ 1) * z)) != u | L(K(x,y) * z,x \ 1,x) = u. [para(6121(a,2),448(a,1,2))]. given #6016 (H,wt=20): 6703 L(K(x,y) * z,x \ 1,x) = T(x,y) * ((x \ 1) * z). [hyper(6125,a,4856,a)]. given #6017 (H,wt=20): 6704 T(x,y) * ((x \ 1) * (K(y,x) * z)) = L(z,x \ 1,x). [para(5268(a,1),6703(a,1,1)),flip(a)]. given #6018 (H,wt=25): 6139 (K(x,y) * K(x,z)) \ K(x,x \ 1) = ((x \ K(x,y)) * T(x,z)) \ 1. [para(6104(a,1),3637(a,1,1)),flip(a)]. given #6019 (H,wt=25): 6142 K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = (1 / (x \ y)) * (x \ T(y,z)). [para(14(a,1),6136(a,2,2,2,1))]. given #6020 (H,wt=25): 6159 (x \ 1) \ T(1 / L(x,y,z),x) = (L(x,y,z) \ 1) * T(x,x \ 1). [hyper(72,a,6157,a(flip),b,2945,a)]. given #6021 (H,wt=23): 6705 (L(x,y,z) \ 1) * T(x,x \ 1) = (x \ 1) \ (L(x,y,z) \ 1). [para(5954(a,1),6159(a,1,2)),flip(a)]. given #6022 (H,wt=17): 6706 (x \ 1) \ (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(236,a,4692,a(flip),b,6705,a(flip))]. given #6023 (H,wt=17): 6708 (x \ 1) * (L(x,y,z) \ x) = L(x,y,z) \ 1. [para(6706(a,1),14(a,1,2))]. given #6024 (H,wt=21): 6709 (x \ L(x,y,z)) \ (x \ 1) = (x \ 1) * (L(x,y,z) \ x). [hyper(236,a,6168,a,b,6708,a),flip(a)]. given #6025 (H,wt=15): 6710 (x \ L(x,y,z)) \ 1 = L(x,y,z) \ x. [hyper(2315,a,6709,a)]. given #6026 (H,wt=18): 6711 (x \ L(x,y,z)) * (L(x,y,z) \ x) != u | 1 = u. [para(6710(a,1),216(a,1,2)),flip(b)]. given #6027 (H,wt=25): 6233 T(x * K(y,z),T(x / y,T(y,z))) = T((x / y) * T(y,z),x / y). [para(6200(a,1),3899(a,1,1))]. given #6028 (H,wt=25): 6305 (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (x \ y)). [para(6269(a,1),5998(a,2,2))]. given #6029 (H,wt=25): 6431 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (x \ y),y \ x). [para(6411(a,1),6013(a,2,2))]. given #6030 (H,wt=25): 6454 ((x * y) * z) * K(y * z,u) != w | R(x,y,z) * T(y * z,u) = w. [para(113(a,1),6258(a,1,1))]. given #6031 (H,wt=25): 6537 T(L(x \ 1,x,y) \ 1,x * L(x \ 1,z,u)) = ((y * x) \ y) \ 1. [para(1687(a,1),6518(a,2,2))]. given #6032 (H,wt=25): 6542 (x / L(y \ 1,y,z)) * (y \ 1) = (y \ 1) * (L(y \ 1,y,z) \ x). [para(6393(a,1),119(a,1,2)),flip(a)]. given #6033 (H,wt=25): 6662 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ x),z). [para(6056(a,1),14(a,1,2))]. given #6034 (H,wt=25): 6663 L(L(x,y,z),u,w) \ L(x,u,w) = L(L(x,u,w),y,z) \ L(x,u,w). [hyper(6067,a,6065,a),flip(a)]. given #6035 (H,wt=25): 6667 (x * K(y,z)) * (1 / (x * K(y,z))) = K(x * K(y,z),x \ K(z,y)). [para(6097(a,1),14(a,1,2))]. given #6036 (H,wt=26): 4720 ((L(x,y,z) \ 1) * x) * (1 / x) != u * (x \ 1) | L(x,y,z) \ x = u. [para(4694(a,2),20(a,1))]. given #6037 (H,wt=26): 4735 (x * y) \ (x * ((y * z) * K(1 / u,u))) = L(z,y,x) * K(1 / u,u). [para(4495(a,1),4496(a,1,2))]. given #6038 (H,wt=26): 4867 L(T(x,y),T(z,x),z / T(z,x)) * z = K(x,z) * (T(x,y) * T(z,x)). [para(4826(a,2),4298(a,2,1))]. given #6039 (H,wt=24): 6715 L(T(x,y),T(z,x),K(x,z)) * z = K(x,z) * (T(x,y) * T(z,x)). [para(4826(a,2),4867(a,1,1,3))]. given #6040 (H,wt=17): 6716 K(x,y) * (T(x,z) * T(y,x)) = T(x,z) * y. [para(5585(a,1),6715(a,1,1)),flip(a)]. given #6041 (H,wt=17): 6717 K(x,y) * (K(x,z) * (y * x)) = T(x,z) * y. [para(5180(a,2),6716(a,1,2))]. given #6042 (H,wt=26): 5046 ((x * y) * L(y,z,u)) / (x * L(y,z,u)) = y * K(x * L(y,z,u),y). [para(1655(a,1),4854(a,1,1))]. given #6043 (H,wt=20): 6720 T(x * K(y * L(x,z,u),x),y) = R(x,y,L(x,z,u)). [para(5046(a,1),746(a,2,1)),flip(a)]. given #6044 (H,wt=22): 6719 R(x * K(y,x),y,L(x,z,u)) = x * K(y * L(x,z,u),x). [hyper(5070,a,5046,a)]. given #6045 (H,wt=22): 6721 T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)). [hyper(236,a,5493,a,b,6720,a(flip)),flip(a)]. given #6046 (H,wt=26): 5048 ((x * y) * R(y,z,u)) / (x * R(y,z,u)) = y * K(x * R(y,z,u),y). [para(1913(a,1),4854(a,1,1))]. given #6047 (H,wt=26): 5168 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * K(y \ 1,u)) * z. [para(4830(a,1),2238(a,2,1,2))]. given #6048 (H,wt=26): 5184 (x * ((K(x,y) * z) * u)) \ ((T(x,y) * z) * u) = a(x,K(x,y) * z,u). [para(4856(a,1),24(a,2,2,1)),flip(a)]. given #6049 (H,wt=26): 5310 R(x,y,z) * (x * (((u * R(x,y,z)) / u) \ 1)) = x * K(R(x,y,z),u). [para(4983(a,2),1497(a,2,2))]. given #6050 (H,wt=26): 5331 R(x,x \ y,K(z,z \ y)) \ (z * (y / z)) = (x \ y) * K(z,z \ y). [para(5079(a,1),463(a,1,2))]. given #6051 (H,wt=26): 5514 (K(x,y) * ((T(x,y) \ z) * x)) / T(x,y) != u | T(z / T(x,y),x) = u. [para(5180(a,2),410(a,1,1))]. given #6052 (H,wt=26): 5588 (x * (K(y,x) * z)) \ ((x * K(y,x)) * (z * u)) = L(u,z,x * K(y,x)). [para(5574(a,1),28(a,2,1)),flip(a)]. given #6053 (H,wt=26): 5623 T(x \ y,z) * ((y \ x) * K(z,x \ y)) != u | (x \ y) * (y \ x) = u. [para(3075(a,1),5355(a,1,2))]. given #6054 (H,wt=26): 5725 ((x / y) / x) * z != (x / y) * K(x,1 / y) | T(x,(x / y) / x) = z. [para(5372(a,2),169(a,2))]. given #6055 (H,wt=26): 5863 (x * T(y,K(z,u))) \ (x * (K(u,z) * y)) = L(K(u,z),T(y,K(z,u)),x). [para(5846(a,1),28(a,2,2,2)),flip(a)]. given #6056 (H,wt=26): 5889 K(x \ (y \ 1),z * T(u,u \ 1)) != w | K(x \ (1 / y),z * u) = w. [para(5470(a,2),5887(a,1))]. given #6057 (H,wt=26): 5915 x * (y * T(y \ (x \ y),z)) != u * w | u \ (K(x \ 1,z) * y) = w. [para(5163(a,2),545(a,1))]. given #6058 (H,wt=26): 5934 (x \ y) * (T(x,x \ y) * z) != u * w | u \ ((y / x) * (x * z)) = w. [para(5781(a,2),545(a,1))]. given #6059 (H,wt=26): 5949 x * (K(x \ 1,y) * z) != u * w | (K(x \ 1,y) * (x * z)) / w = u. [para(5945(a,1),555(a,1))]. given #6060 (H,wt=26): 5953 L(K(x,y) * (K(z,u) * w),K(y,x),K(u,z)) = (K(u,z) * K(y,x)) \ w. [para(5260(a,1),5276(a,1,1))]. given #6061 (H,wt=26): 5974 (x \ 1) * ((y \ ((x \ 1) \ 1)) * z) != u | (1 / x) * ((y \ x) * z) = u. [para(3838(a,1),5816(a,1,2))]. given #6062 (H,wt=26): 6087 x / (K(L(y,z,z \ 1) \ u,w) * x) = K(w,((z \ 1) * (z * y)) \ u). [para(5930(a,1),5266(a,1,2,1))]. given #6063 (H,wt=25): 6727 K(x,((y \ 1) * (y * z)) \ u) != w | K(x,L(z,y,y \ 1) \ u) = w. [para(6087(a,1),5272(a,1))]. given #6064 (H,wt=26): 6134 K(x,y * ((z \ L(u,1 / z,z)) * w)) = K(x,y * (((1 / z) * u) * w)). [para(2931(a,1),6033(a,1,2,2,1)),flip(a)]. given #6065 (H,wt=23): 6728 K(x,y * (((1 / z) * u) * w)) = K(x,y * (((z \ 1) * u) * w)). [para(2973(a,1),6134(a,1,2,2,1)),flip(a)]. given #6066 (H,wt=26): 6141 T(K(x,y) * (z * K(y,x)),u) != K(x,y) * w | T(z,u) * K(y,x) = w. [para(6132(a,2),19(a,1))]. given #6067 (H,wt=26): 6145 T(x * K(y,z),u) != w * K(y,z) | K(z,y) * T(K(z,y) \ x,u) = w. [para(6143(a,1),20(a,1))]. given #6068 (H,wt=26): 6146 T((K(x,y) * z) * K(y,x),u) != w * K(y,x) | K(x,y) * T(z,u) = w. [para(6144(a,2),20(a,1))]. given #6069 (H,wt=26): 6204 (x * (y * T(z,u))) \ ((x * (y * K(z,u))) * z) = a(x,y * K(z,u),z). [para(6188(a,1),24(a,2,1,2)),flip(a)]. given #6070 (H,wt=26): 6208 K(x,y * K(x,z)) * K(y * T(x,z),x) = x \ R(x,y * K(x,z),x). [para(6188(a,1),5628(a,1,2,1))]. given #6071 (H,wt=26): 6217 (x / L(y \ z,u,w)) * K(L(z / y,u,w),y) = x / L(z / y,u,w). [para(184(a,1),6197(a,1,1,2))]. given #6072 (H,wt=23): 6730 (x / L(y \ 1,y,z)) * K(y \ 1,y) = x / L(1 / y,y,z). [para(6346(a,1),6217(a,1,2))]. given #6073 (H,wt=26): 6282 L(K(x \ (y \ z),u),y \ z,y) = z \ (y * (x * T(x \ (y \ z),u))). [para(6219(a,2),104(a,1,2,2)),flip(a)]. given #6074 (H,wt=23): 6731 L(K(x \ (y \ z),u),y \ z,y) != w | K((y * x) \ z,u) = w. [para(6282(a,2),6493(a,1))]. given #6075 (H,wt=26): 6463 K(x,(K(y,y \ z) * u) \ (z / y)) != w | K(x,((y \ z) \ u) \ 1) = w. [para(5524(a,1),6460(a,1,2,1))]. given #6076 (H,wt=26): 6519 ((x * y) \ x) * T(((x * y) \ x) \ 1,z) != u * w | K(y,z) / w = u. [para(6316(a,2),529(a,1,2))]. given #6077 (H,wt=26): 6538 (((x \ 1) * y) / (x \ 1)) * ((z * x) \ z) = y * L(T(x \ 1,y),x,z). [para(6524(a,1),5525(a,2,2))]. given #6078 (H,wt=26): 6626 (x * y) * z != x * (y * K((x \ u) \ y,w)) | K(u \ (x * y),w) = z. [para(6576(a,1),19(a,1)),flip(a)]. given #6079 (H,wt=26): 6665 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = x * T(L(x,u,w) \ 1,x). [para(6664(a,1),2567(a,1,1))]. given #6080 (H,wt=26): 6666 K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / ((L(x,w,v5) \ 1) \ 1). [para(6664(a,1),2784(a,1,1))]. given #6081 (H,wt=26): 6714 (x * y) \ (x * (y * (z * K(1 / u,u)))) = L(z,y,x) * K(1 / u,u). [para(4495(a,1),4735(a,1,2,2))]. given #6082 (H,wt=21): 6736 L(x * K(1 / y,y),z,u) = L(x,z,u) * K(1 / y,y). [hyper(447,a,6714,a)]. given #6083 (H,wt=19): 6738 L((x \ 1) \ 1,y,z) * K(1 / x,x) = L(x,y,z). [para(4923(a,1),6736(a,1,1)),flip(a)]. given #6084 (H,wt=22): 6739 L(x,y,z) != u * K(1 / x,x) | L((x \ 1) \ 1,y,z) = u. [para(6738(a,1),20(a,1))]. given #6085 (H,wt=24): 6737 L(x * K(1 / y,y),z,u) != L(x,z,u) * w | K(1 / y,y) = w. [para(6736(a,2),19(a,1))]. given #6086 (H,wt=26): 6725 R(x,y,z) * (x * (R((u * x) / u,y,z) \ 1)) = x * K(R(x,y,z),u). [para(813(a,2),5310(a,1,2,2,1))]. given #6087 (H,wt=24): 6740 R(x,y,z) * (R((u * x) / u,y,z) \ x) = x * K(R(x,y,z),u). [para(2106(a,1),6725(a,1,2))]. given #6088 (H,wt=26): 6726 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(u,z,x * K(y,x)). [para(5574(a,1),5588(a,1,2))]. given #6089 (H,wt=26): 6735 K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / L((x \ 1) \ 1,w,v5). [para(2706(a,2),6666(a,2,2))]. given #6090 (H,wt=27): 4775 L(x * K(y \ z,(y \ z) \ 1),u,w) = L(x,u,w) * K(y \ z,z \ y). [para(2282(a,1),4744(a,2,2))]. given #6091 (H,wt=25): 6741 L(x * K(y \ z,z \ y),u,w) = L(x,u,w) * K(y \ z,z \ y). [para(2282(a,1),4775(a,1,1,2))]. given #6092 (H,wt=18): 6742 K(x \ y,L(y \ x,z,u)) = K(x \ y,y \ x). [hyper(17,a,5656,a,b,6741,a(flip)),flip(a)]. given #6093 (H,wt=21): 6744 K(x \ (y \ 1),(y \ 1) \ x) = K(x \ (y \ 1),y * x). [para(451(a,1),6742(a,1,2)),flip(a)]. given #6094 (H,wt=25): 6745 K(x \ L(x,y,z),L(x,y,z) \ x) = K(x \ L(x,y,z),a(z,y,x)). [para(1566(a,2),6742(a,1,2)),flip(a)]. given #6095 (H,wt=27): 4784 (x * y) * ((z \ ((x * y) \ u)) * z) = x * (y * ((z \ (y \ (x \ u))) * z)). [para(227(a,1),4752(a,1,2,1,2))]. given #6096 (H,wt=27): 4926 ((x \ (y * K(z,x))) * x) / K(z,x) = T(x,z) * T((x / K(z,x)) \ y,x). [para(4840(a,2),1403(a,1,1)),flip(a)]. given #6097 (H,wt=25): 6746 ((x \ (y * K(z,x))) * x) / K(z,x) = T(x,z) * T(T(x,z) \ y,x). [para(4840(a,2),4926(a,2,2,1,1))]. given #6098 (H,wt=27): 4932 K(x \ y,x) * R(T(x,x \ y),z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(4846(a,2),2419(a,1,2,1))]. given #6099 (H,wt=27): 5023 K(a(x,y,z),x * (y * z)) * (((x * y) * z) / (x * (y * z))) = a(x,y,z). [para(91(a,1),4851(a,1,2,1))]. given #6100 (H,wt=27): 5035 a(x,y,z) * K(x * (y * z),a(x,y,z)) = ((x * y) * z) / (x * (y * z)). [para(91(a,1),4854(a,1,1)),flip(a)]. given #6101 (H,wt=27): 5257 (T(x,y) * z) \ (K(x,y) * (x * (z * u))) = L(L(u,z,x),x * z,K(x,y)). [para(4906(a,1),440(a,1,1))]. given #6102 (H,wt=25): 6748 L(L(x,y,z),z * y,K(z,u)) = (T(z,u) * y) \ (T(z,u) * (y * x)). [para(4906(a,1),5257(a,1,2)),flip(a)]. given #6103 (H,wt=18): 6749 L(L(x,y,z),z * y,K(z,u)) = L(x,y,T(z,u)). [hyper(236,a,28,a,b,6748,a)]. given #6104 (H,wt=21): 6750 L(L(x,y,z),z * y,K(z,u)) != w | L(x,y,T(z,u)) = w. [para(6748(a,2),447(a,1))]. given #6105 (H,wt=27): 5300 (x * (y / x)) \ (K(x,x \ y) * (y * z)) != u | L(z,y,K(x,x \ y)) = u. [para(4909(a,1),447(a,1,1))]. given #6106 (H,wt=27): 5342 K(R(x,x \ y,z),u) \ ((x \ y) * z) = T(R(x,x \ y,z),u) \ (y * z). [para(463(a,1),5174(a,1,2))]. given #6107 (H,wt=27): 5366 K(x,y) * ((y \ z) * u) != (T(y,x) \ z) * w | L(u,y \ z,K(x,y)) = w. [para(5204(a,1),436(a,1,1)),flip(a)]. given #6108 (H,wt=27): 5664 K(x / (x / y),y \ x) * K(z,x / (x / y)) = T(x / (x / y),z) \ y. [para(4202(a,1),5662(a,1,2)),flip(a)]. given #6109 (H,wt=23): 6751 K(x,x \ y) * K(z,y / (y / x)) = T(y / (y / x),z) \ x. [para(5002(a,1),5664(a,1,1))]. given #6110 (H,wt=27): 5670 R(x * K(y,x),z,u) \ y = R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u)). [para(5039(a,2),4291(a,1,1))]. given #6111 (H,wt=27): 5869 L(x,y,((z \ 1) \ 1) * (T(z,u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). [para(5866(a,1),3851(a,2,3))]. given #6112 (H,wt=27): 5925 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * ((1 / u) \ K(u \ 1,z))). [para(4984(a,2),5486(a,2,2,2)),flip(a)]. given #6113 (H,wt=27): 6074 x * (K(x,y) * (K(x,y) \ ((y \ 1) \ 1))) = (T(y,y \ 1) * x) * K(x,y). [para(6073(a,1),2429(a,1,2,2))]. given #6114 (H,wt=19): 6753 K(x,y) = (T(y,y \ 1) * x) \ (x * ((y \ 1) \ 1)). [hyper(551,a,6074,a),flip(a)]. given #6115 (H,wt=27): 6135 ((1 / x) * T((1 / x) \ y,z)) * (y \ 1) = (1 / x) * (y \ T(y * x,z)). [hyper(236,a,6075,a,b,6055,a(flip)),flip(a)]. given #6116 (H,wt=23): 6754 (T(x * y,z) / y) * (x \ 1) = (1 / y) * (x \ T(x * y,z)). [para(1590(a,1),6135(a,1,1))]. given #6117 (H,wt=27): 6137 K((x * ((1 / y) \ 1)) \ 1,z) / y = (1 / y) * K(((1 / y) \ x) \ 1,z). [hyper(312,a,6079,a)]. given #6118 (H,wt=23): 6756 (1 / x) * K(((1 / x) \ y) \ 1,z) = K((y * x) \ 1,z) / x. [para(65(a,1),6137(a,1,1,1,1,2)),flip(a)]. given #6119 (H,wt=21): 6757 (1 / x) * K(y \ (1 / x),z) = K((y * x) \ 1,z) / x. [para(6269(a,1),6756(a,1,2))]. given #6120 (H,wt=19): 6758 K((x * y) \ 1,x * y) = K(x \ (1 / y),x * y). [hyper(17,a,3659,a,b,6757,a),flip(a)]. given #6121 (H,wt=21): 6759 (1 / x) * K(y \ (x \ 1),z) = K((y * x) \ 1,z) / x. [para(5435(a,1),6757(a,1,2))]. given #6122 (H,wt=23): 6760 K((x * (y \ 1)) \ 1,x * (y \ 1)) = K(x \ y,x * (y \ 1)). [para(62(a,1),6758(a,2,1,2))]. given #6123 (H,wt=25): 6761 (x * K((y / x) \ 1,y / x)) * (x \ 1) = K(y \ x,y * (x \ 1)). [hyper(236,a,3534,a,b,6760,a(flip)),flip(a)]. given #6124 (H,wt=23): 6762 (x * K(y \ x,x \ y)) * (x \ 1) = K(y \ x,y * (x \ 1)). [para(4008(a,1),6761(a,1,1,2))]. given #6125 (H,wt=17): 6763 K(x \ y,x * (y \ 1)) = K(x \ y,y \ x). [hyper(3710,a,6762,a),flip(a)]. given #6126 (H,wt=25): 6764 K(x \ (y \ 1),x * T(y,y \ 1)) = K(x \ (y \ 1),(y \ 1) \ x). [para(120(a,2),6763(a,1,2,2))]. given #6127 (H,wt=21): 6765 K(x \ (y \ 1),(y \ 1) \ x) = K(x \ (1 / y),x * y). [hyper(5889,a,6764,a),flip(a)]. given #6128 (H,wt=19): 6766 K(x \ (1 / y),x * y) = K(x \ (y \ 1),y * x). [hyper(236,a,6744,a(flip),b,6765,a(flip))]. given #6129 (H,wt=19): 6767 K((x * y) \ 1,x * y) = K(x \ (y \ 1),y * x). [hyper(236,a,6758,a,b,6766,a(flip)),flip(a)]. given #6130 (H,wt=27): 6244 ((x * y) * T(z,u)) / ((y * z) * K(z,u)) = R(R(x,y,z),y * z,K(z,u)). [para(6201(a,1),468(a,1,1))]. given #6131 (H,wt=25): 6768 R(R(x,y,z),y * z,K(z,u)) = ((x * y) * T(z,u)) / (y * T(z,u)). [para(6201(a,1),6244(a,1,2)),flip(a)]. given #6132 (H,wt=21): 6769 R(R(x,y,z),y * z,K(z,u)) != w | R(x,y,T(z,u)) = w. [para(6768(a,2),475(a,1))]. given #6133 (H,wt=18): 6770 R(R(x,y * z,K(z,u)),y,z) = R(x,y,T(z,u)). [hyper(6769,a,46,a),flip(a)]. given #6134 (H,wt=27): 6436 K((((x * y) \ x) \ 1) \ z,((x * y) \ x) \ 1) = K(z * ((x * y) \ x),y). [hyper(236,a,6009,a,b,6421,a(flip)),flip(a)]. given #6135 (H,wt=21): 6771 K((((x * y) \ x) \ 1) \ z,y) = K(z * ((x * y) \ x),y). [hyper(236,a,6421,a(flip),b,6436,a(flip)),flip(a)]. given #6136 (H,wt=27): 6530 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((1 / z) \ x) \ 1) \ (z \ 1),y). [para(5435(a,1),6470(a,2,2))]. given #6137 (H,wt=27): 6544 K(x,L(y * ((z * y) \ z),y \ 1,z * y)) = K(x,a(z,y,y \ 1) \ 1). [para(2307(a,2),6416(a,1,2))]. given #6138 (H,wt=27): 6707 (x \ (L(x \ 1,y,z) \ 1)) * K(x \ 1,x) = L(x \ 1,y,z) \ (x \ 1). [hyper(3009,a,6706,a)]. given #6139 (H,wt=27): 6732 (((x \ 1) * y) / (x \ 1)) * ((z * x) \ z) != u | L(x \ 1,x,z) * y = u. [para(6538(a,2),369(a,1))]. given #6140 (H,wt=27): 6733 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) != v5 | (L(x,u,w) \ 1) * x = v5. [para(6665(a,2),220(a,1))]. given #6141 (H,wt=19): 6775 x / L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) * x. [hyper(6733,a,6735,a),flip(a)]. given #6142 (H,wt=19): 6776 ((L(x,y,z) \ 1) * x) \ x = L((x \ 1) \ 1,y,z). [para(6775(a,1),65(a,1,1))]. given #6143 (H,wt=27): 6752 L(x,y,z * (T(1 / (1 / z),u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). [para(3299(a,1),5869(a,1,3))]. given #6144 (H,wt=27): 6755 (1 / x) * ((x \ y) \ T((x \ y) * x,z)) = (x \ T(y,z)) * ((x \ y) \ 1). [para(4620(a,1),6754(a,1,1)),flip(a)]. given #6145 (H,wt=21): 6777 (x \ T(y,x)) * ((x \ y) \ 1) = (1 / x) * ((y * x) / y). [para(4666(a,1),6755(a,1,2)),flip(a)]. given #6146 (H,wt=15): 6778 K(x,y) = (y \ T(x,y)) * ((y \ x) \ 1). [hyper(236,a,5049,a,b,6777,a),flip(a)]. given #6147 (H,wt=17): 6779 (x \ T(x * y,x)) * (y \ 1) = K(x * y,x). [para(13(a,1),6778(a,2,2,1)),flip(a)]. given #6148 (H,wt=23): 6780 (x \ T(x * K(y,z),x)) * (K(z,y) * 1) = K(x * K(y,z),x). [para(5260(a,1),6779(a,1,2))]. given #6149 (H,wt=23): 6781 K(x,T(y / z,y) \ y) * (K(z,x) * 1) = K(y * K(x,z),y). [para(6697(a,2),6780(a,1,1))]. given #6150 (H,wt=21): 6782 K(x,T(y / z,y) \ y) * K(z,x) = K(y * K(x,z),y). [para(12(a,1),6781(a,1,2))]. given #6151 (H,wt=27): 6773 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((z \ 1) \ x) \ 1) \ (z \ 1),y). [para(5744(a,1),6530(a,2,2))]. given #6152 (H,wt=25): 6783 T(x,y) / ((1 / z) \ x) = K(((((z \ 1) \ x) \ 1) * z) \ 1,y) / z. [hyper(236,a,6759,a(flip),b,6773,a)]. given #6153 (H,wt=28): 4672 (x * ((y / (y * z)) / x)) * (y * z) = (y * z) * (x * (L(z \ 1,z,y) / x)). [para(158(a,2),4659(a,2,2,2,1))]. given #6154 (H,wt=28): 4674 ((x \ R(1 / y,y,z)) * x) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(159(a,2),4661(a,1,1,1,2))]. given #6155 (H,wt=28): 4780 T(x,y) * (x \ L(x,z,u)) != w * v5 | w \ ((x \ L(x,z,u)) * T(x,y)) = v5. [para(4769(a,2),545(a,1))]. given #6156 (H,wt=28): 4782 L(1 / (x \ y),x \ y,x) \ (1 / (x \ y)) = (y \ (x * 1)) \ ((x \ y) \ 1). [para(450(a,1),4777(a,2,1))]. given #6157 (H,wt=23): 6786 (x \ (y * 1)) \ ((y \ x) \ 1) = (1 / (y \ x)) * (1 / (x \ y)). [hyper(236,a,3403,a(flip),b,4782,a(flip))]. given #6158 (H,wt=21): 6787 (1 / (x \ y)) * (1 / (y \ x)) = (y \ x) \ ((x \ y) \ 1). [para(12(a,1),6786(a,1,1,2)),flip(a)]. given #6159 (H,wt=28): 5069 ((x * y) * z) * a(z * K(x * y,z),x,y) = ((z * K(x * y,z)) * x) * y. [para(4900(a,1),91(a,1,1))]. given #6160 (H,wt=25): 6788 ((x * y) * z) * a(z * K(x * y,z),x,y) = (x * y) * R(z,x,y). [hyper(5045,a,5069,a(flip)),flip(a)]. given #6161 (H,wt=28): 5121 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) != z | x \ T(x,y / (x * y)) = z. [para(2619(a,2),4855(a,1))]. given #6162 (H,wt=28): 5461 K(x,R(y,z,u) \ 1) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [para(4876(a,1),2652(a,1,1))]. given #6163 (H,wt=22): 6790 K(x,R(y,z,u) \ 1) * (z * u) = (K(x,y \ 1) * z) * u. [para(5458(a,1),5461(a,2,1))]. given #6164 (H,wt=14): 6792 K(x,R(y,x,z) \ 1) = K(x,y \ 1). [hyper(18,a,3971,a(flip),b,6790,a)]. given #6165 (H,wt=14): 6793 K(x,R(x,y,z) \ 1) = K(x,x \ 1). [hyper(18,a,3584,a(flip),b,6790,a)]. given #6166 (H,wt=17): 6791 R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). [hyper(18,a,113,a,b,6790,a),flip(a)]. given #6167 (H,wt=17): 6797 K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u). [para(5233(a,1),6791(a,1,1)),flip(a)]. given #6168 (H,wt=17): 6801 R(K(x,y),z,u) \ w = R(K(y,x),z,u) * w. [para(6797(a,1),5905(a,1,1)),flip(a)]. given #6169 (H,wt=15): 6802 R(K(x,y),z,u) \ 1 = R(K(y,x),z,u). [hyper(4036,a,6801,a)]. given #6170 (H,wt=18): 6803 (x * y) / ((K(z,u) * x) * y) = R(K(u,z),x,y). [hyper(571,a,6801,a)]. given #6171 (H,wt=18): 6804 R(K(x,y),z,u) \ (z * u) = (K(y,x) * z) * u. [hyper(512,a,6801,a)]. given #6172 (H,wt=18): 6806 R(K(x,y),z,u) \ 1 != w | R(K(y,x),z,u) = w. [para(6801(a,2),83(a,1)),flip(b)]. given #6173 (H,wt=19): 6798 K(x,R(y / z,u,w) \ 1) = R(K(x,z / y),u,w). [para(5795(a,1),6791(a,1,1)),flip(a)]. given #6174 (H,wt=18): 6809 R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). [hyper(5872,a,6798,a),flip(a)]. given #6175 (H,wt=18): 6812 R(K(x,y / (z / u)),y,u) = K(x,(y * u) / z). [para(16(a,1),6809(a,2,2,2))]. given #6176 (H,wt=18): 6813 K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z). [para(62(a,1),6809(a,1,1,2)),flip(a)]. given #6177 (H,wt=12): 6816 R(K(x,y),T(y,z),u) = K(x,y). [para(3871(a,1),6813(a,1,2)),flip(a)]. given #6178 (H,wt=10): 6817 R(K(x,y),y,z) = K(x,y). [para(118(a,1),6816(a,1,2))]. given #6179 (H,wt=14): 6821 K(R(x,y,z) \ 1,y) = K(x \ 1,y). [hyper(236,a,5900,a(flip),b,6817,a(flip)),flip(a)]. given #6180 (H,wt=15): 6815 K(x,R(y,y \ z,u)) = R(K(x,y),z,u). [para(110(a,2),6813(a,1,2))]. given #6181 (H,wt=15): 6820 K((x * y) / z,x) = K(x / (z / y),x). [hyper(236,a,6689,a(flip),b,6817,a(flip)),flip(a)]. given #6182 (H,wt=15): 6824 R(K(x,y),y * z,u) = K(x,R(y,z,u)). [para(13(a,1),6815(a,1,2,2)),flip(a)]. given #6183 (H,wt=14): 6830 K(x * y,R(x,y,z)) = K(x * y,x). [hyper(3970,a,6824,a),flip(a)]. given #6184 (H,wt=15): 6828 K((x * y) / z,x) = K((z / y) \ x,x). [hyper(236,a,6289,a(flip),b,6820,a)]. given #6185 (H,wt=17): 6825 R(K(x,y),z * y,u) = K(x,R(y,T(z,y),u)). [para(32(a,2),6815(a,1,2,2)),flip(a)]. given #6186 (H,wt=18): 6814 R(K(x,(y / z) \ x),x,z) = K(x,(x * z) / y). [para(5304(a,1),6812(a,1,1))]. given #6187 (H,wt=15): 6834 K(x,(x * y) / z) = K(x,(z / y) \ x). [hyper(3970,a,6814,a),flip(a)]. given #6188 (H,wt=18): 6829 K((x * y) / z,x) != u | K((z / y) \ x,x) = u. [para(6820(a,2),6502(a,1))]. given #6189 (H,wt=18): 6836 K(x,(x * y) / z) != u | K(x,(z / y) \ x) = u. [para(6814(a,1),3970(a,1))]. given #6190 (H,wt=19): 6799 K(x,R(y \ z,u,w) \ 1) = R(K(x,z \ y),u,w). [para(6408(a,1),6791(a,1,1)),flip(a)]. given #6191 (H,wt=19): 6800 T(x,R(y \ 1,z,u) \ 1) = x * R(K(x,y),z,u). [para(6797(a,1),4887(a,2,2))]. given #6192 (H,wt=19): 6818 (K(x,y) * T(y,z)) * u = K(x,y) * (T(y,z) * u). [para(6816(a,1),113(a,1,1)),flip(a)]. given #6193 (H,wt=10): 6839 L(x,T(y,z),K(u,y)) = x. [hyper(436,a,6818,a)]. given #6194 (H,wt=19): 6831 K(R(x,y * z,u) \ 1,y) = K(x \ 1,R(y,z,u)). [hyper(236,a,5900,a(flip),b,6824,a(flip)),flip(a)]. given #6195 (H,wt=19): 6832 R(T(K(x,y),z),y * u,w) = T(K(x,R(y,u,w)),z). [para(6824(a,1),42(a,2,1))]. given #6196 (H,wt=20): 6794 K(x,R(R(y,x,z),u,w) \ 1) = K(x,R(y,u,w) \ 1). [para(46(a,1),6792(a,1,2,1))]. given #6197 (H,wt=20): 6811 R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)). [para(16(a,1),6809(a,2,2,1))]. given #6198 (H,wt=20): 6819 R(K(x,y / (z * y)),y / (z * y),u) = K(x,z \ 1). [hyper(236,a,5797,a(flip),b,6817,a)]. given #6199 (H,wt=20): 6835 R(K(x,(y / z) \ x),x,z) = K(x,(y / (x * z)) \ 1). [hyper(236,a,5795,a,b,6814,a)]. given #6200 (H,wt=20): 6840 L(T(x,y) \ z,T(u,w),K(v5,u)) = x \ (K(y,x) * z). [hyper(236,a,5196,a,b,6839,a)]. given #6201 (H,wt=20): 6844 R(K(x,y \ x),x,z) = K(x,((y * z) / (x * z)) \ 1). [para(15(a,1),6835(a,1,1,2,1))]. given #6202 (H,wt=21): 6795 K(x \ R(x,y,z),x) = (u \ K(u,R(u,w,v5) \ 1)) * u. [para(6793(a,2),3701(a,2,1,2))]. given #6203 (H,wt=21): 6810 R(K(x,y / z),y,u) != w | K(x,(y * u) / (z * u)) = w. [para(6798(a,1),5872(a,1))]. given #6204 (H,wt=21): 6822 R(K(x,y / z),y / z,u) != w | K(x,(z / y) \ 1) = w. [para(6817(a,2),5801(a,1))]. given #6205 (H,wt=21): 6827 R(K(x,y),K(z,y) * u,w) = K(x,R(y,T(y,z) \ u,w)). [para(5196(a,1),6815(a,1,2,2)),flip(a)]. given #6206 (H,wt=21): 6838 K(x,(L(y,z,u) / y) \ x) = K(x,(x / L(y,z,u)) * y). [para(1657(a,1),6834(a,1,2)),flip(a)]. given #6207 (H,wt=21): 6843 R(K(x,y / (z * y)),R(1 / z,z,y),u) = K(x,z \ 1). [para(159(a,2),6819(a,1,2))]. given #6208 (H,wt=21): 6847 K(x \ R(x,y,z),x) = (u \ 1) * T(u,R(u,w,v5) \ 1). [hyper(236,a,5766,a(flip),b,6795,a)]. given #6209 (H,wt=17): 6849 T(x,R(x \ 1,y,z)) = T(x,R(x,u,w) \ 1). [hyper(6034,a,6847,a)]. given #6210 (H,wt=14): 6850 T(x,R(x,y,z) \ 1) = T(x,x \ 1). [hyper(3782,a,6849,a),flip(a)]. given #6211 (H,wt=19): 6851 (R(x,y,z) \ 1) * T(x,x \ 1) = R(x,y,z) \ x. [para(6850(a,1),1506(a,1,2))]. given #6212 (H,wt=19): 6852 (R(x,y,z) \ 1) * ((x \ 1) \ 1) = R(x,y,z) \ x. [hyper(909,a,6851,a)]. given #6213 (H,wt=15): 6854 (1 / R(x,y,z)) * x = R(x,y,z) \ x. [hyper(236,a,6687,a(flip),b,6852,a(flip)),flip(a)]. given #6214 (H,wt=13): 6855 x / R(x,y,z) = R(x,y,z) \ x. [hyper(1927,a,6854,a)]. given #6215 (H,wt=13): 6859 (R(x,y,z) \ x) * R(x,y,z) = x. [para(6855(a,1),16(a,1,1))]. given #6216 (H,wt=13): 6860 (R(x,y,z) \ x) \ x = R(x,y,z). [para(6855(a,1),65(a,1,1))]. given #6217 (H,wt=15): 6856 T(1 / R(x,y,z),x) = R(x,y,z) \ 1. [hyper(168,a,6854,a,b,1504,a)]. given #6218 (H,wt=16): 6863 x / R(x,y,z) != u | R(x,y,z) \ x = u. [para(6859(a,1),296(a,1,1)),flip(b)]. given #6219 (H,wt=17): 6858 (x / R(x,y,z)) * u = (R(x,y,z) \ x) * u. [hyper(22,a,6855,a)]. given #6220 (H,wt=17): 6864 T(x,y) / R(x,z,u) = R(x,z,u) \ T(x,y). [para(6859(a,1),4620(a,1,1,1))]. given #6221 (H,wt=19): 6866 (K(x,y) / R(x,z,u)) * x = R(x,z,u) \ T(x,y). [hyper(4980,a,6864,a)]. given #6222 (H,wt=20): 6857 R(x,y,z) \ x != x * u | T(1 / R(x,y,z),x) = u. [para(6854(a,1),169(a,2)),flip(a)]. given #6223 (H,wt=20): 6865 (x / R(x,y,z)) * u != w | (R(x,y,z) \ x) * u = w. [para(6860(a,1),290(a,1,1,2))]. given #6224 (H,wt=21): 6848 K(x,(y \ L(y,z,u)) \ x) = K(x,(x / L(y,z,u)) * y). [para(4765(a,1),6838(a,1,2,1))]. given #6225 (H,wt=21): 6861 K(x,(y / R(y,z,u)) \ x) = K(x,x * (y \ R(y,z,u))). [para(6855(a,2),6693(a,1,2,1))]. given #6226 (H,wt=21): 6867 K(x,L(y,z,u) \ (y * x)) = K(x,(x / L(y,z,u)) * y). [hyper(236,a,6600,a(flip),b,6848,a(flip)),flip(a)]. given #6227 (H,wt=21): 6868 K(x,(x / L(y,z,u)) * y) = K(x,y * (L(y,z,u) \ x)). [para(1210(a,1),6867(a,1,2)),flip(a)]. given #6228 (H,wt=22): 6805 R(K(x,y),y / x,z) * ((y / T(x,y)) * z) = (y / x) * z. [hyper(236,a,5386,a(flip),b,6801,a(flip))]. given #6229 (H,wt=22): 6807 R(K(x,y),z,(K(y,x) * z) \ 1) = z * ((K(y,x) * z) \ 1). [hyper(236,a,277,a(flip),b,6802,a(flip))]. given #6230 (H,wt=17): 6869 (K(x,y) * T(x,z)) \ 1 = T(x,z) \ K(y,x). [hyper(72,a,6816,a(flip),b,6807,a(flip)),flip(a)]. given #6231 (H,wt=17): 6870 (K(x,y) * T(x,z)) \ 1 = T(x,y) \ K(z,x). [para(5521(a,1),6869(a,1,1))]. given #6232 (H,wt=22): 6808 ((x \ 1) * y) / ((x \ K(x,z)) * y) = R(K(z,x),x \ 1,y). [para(4034(a,1),6803(a,1,2,1))]. given #6233 (H,wt=22): 6833 K(x,R(y,z,u)) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(6824(a,1),5533(a,1,1))]. given #6234 (H,wt=24): 6845 R(T(K(x,(y / z) \ x),u),x,z) = T(K(x,(y / (x * z)) \ 1),u). [para(6835(a,1),42(a,2,1))]. given #6235 (H,wt=24): 6862 R(K(x,R(y,z,u) \ y),y,w) = K(x,(y * w) / (R(y,z,u) * w)). [para(6855(a,1),6809(a,1,1,2))]. given #6236 (H,wt=25): 6826 R(K(x,R(y,z,u)),(y * z) * u,w) = K(x,R(R(y,z,u),z * u,w)). [para(143(a,1),6815(a,1,2,2)),flip(a)]. given #6237 (H,wt=26): 6846 R(K(x / y,z \ (x / y)),x / y,y) = K(x / y,((z * y) / x) \ 1). [para(16(a,1),6844(a,2,2,1,2))]. given #6238 (H,wt=23): 6872 K((x / y) \ 1,z \ (y / x)) = K(y / x,((z * x) / y) \ 1). [hyper(5711,a,6846,a)]. given #6239 (H,wt=21): 6873 K((x / y) \ 1,z \ (y / x)) = K(y / x,y / (z * x)). [hyper(236,a,5795,a(flip),b,6872,a)]. given #6240 (H,wt=22): 6875 K(x / y,x / (z * y)) != u | K(x / y,z \ (x / y)) = u. [para(6873(a,1),5825(a,1))]. given #6241 (H,wt=26): 6871 R(K(x * y,x),(x * y) * z,u) = K(x * y,R(R(x,y,z),y * z,u)). [para(6830(a,1),6826(a,1,1))]. given #6242 (H,wt=22): 6876 K(x * y,R(R(x,y,z),y * z,u)) = K(R(x * y,z,u),x). [hyper(236,a,6678,a(flip),b,6871,a(flip))]. given #6243 (H,wt=26): 6877 K(R(R(x,y,z),y * z,u),x * y) = w / (K(R(x * y,z,u),x) * w). [para(6876(a,1),5266(a,1,2,1)),flip(a)]. given #6244 (H,wt=25): 6878 K(R(R(x,y,z),y * z,u),x * y) != w | K(x,R(x * y,z,u)) = w. [para(6877(a,2),5272(a,1))]. given #6245 (H,wt=28): 5534 R(x,y,z) * (K(u,R(x,y,z)) * (y * z)) = K(u,R(x,y,z)) * ((x * y) * z). [para(113(a,1),5363(a,1,2)),flip(a)]. given #6246 (H,wt=28): 5763 (x * T(y,z)) / (K(y,z) * ((y \ z) * y)) = R(x / (y \ z),y \ z,T(y,z)). [para(5513(a,2),114(a,2,2)),flip(a)]. given #6247 (H,wt=28): 5783 L(x \ y,z,u) * (T(x,L(x \ y,z,u)) * w) = L(y / x,z,u) * (x * w). [para(628(a,1),5575(a,1,1)),flip(a)]. given #6248 (H,wt=28): 5794 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(5792(a,1),189(a,1,2)),flip(a)]. given #6249 (H,wt=26): 6879 (x * T(K(y,z),u)) * T(K(z,y),u) = R(x,T(K(y,z),u),T(K(z,y),u)). [para(5792(a,1),5794(a,1,3)),flip(a)]. given #6250 (H,wt=28): 5897 T((x / (y * K(z,y))) * y,(z * y) / z) != u | ((z * y) / z) \ (x * y) = u. [para(5044(a,1),280(a,1,1))]. given #6251 (H,wt=28): 5964 T(x,y) \ T(z * T(z \ x,u),y) != w | K((T(x,y) \ T(z,y)) \ 1,u) = w. [para(2053(a,1),5608(a,1,2))]. given #6252 (H,wt=24): 6881 K((x \ y) \ 1,T(x,z)) != u | K((T(x,z) \ T(y,z)) \ 1,x) = u. [para(5814(a,1),5964(a,1))]. given #6253 (H,wt=28): 5976 (1 / R(x,y,z)) * K(R(x,y,z) \ 1,x) = ((1 / R(x,y,z)) * x) * (x \ 1). [para(5898(a,1),677(a,1,2))]. given #6254 (H,wt=21): 6882 ((1 / R(x,y,z)) * x) * (x \ 1) = T(1 / R(x,y,z),x). [hyper(5123,a,5976,a),flip(a)]. given #6255 (H,wt=19): 6883 (x / R(x,y,z)) * (x \ 1) = T(1 / R(x,y,z),x). [para(1914(a,1),6882(a,1,1))]. given #6256 (H,wt=17): 6884 (x / R(x,y,z)) * (x \ 1) = R(x,y,z) \ 1. [hyper(236,a,6856,a(flip),b,6883,a)]. given #6257 (H,wt=21): 6885 T(R(x,y,z) \ x,x \ 1) = (x \ 1) \ (R(x,y,z) \ 1). [hyper(394,a,6884,a(flip),b,6858,a(flip))]. given #6258 (H,wt=17): 6886 T(R(x,y,z) \ x,x \ 1) = R(x,y,z) \ x. [hyper(236,a,6691,a(flip),b,6885,a)]. given #6259 (H,wt=12): 6887 K(R(x,y,z) \ x,x \ 1) = 1. [hyper(36,a,6886,a)]. given #6260 (H,wt=14): 6888 T(1 / x,R(x,y,z) \ x) = 1 / x. [para(6887(a,1),5716(a,1,1,1))]. given #6261 (H,wt=28): 6094 T(x * L(x \ 1,y,z),u) != w | x * (K(x,u) * L(x \ K(u,x),y,z)) = w. [para(5017(a,1),5624(a,1))]. given #6262 (H,wt=28): 6492 (x * K(y,z)) * L(T(y,u),w,v5) != v6 | x * (K(y,z) * L(T(y,u),w,v5)) = v6. [para(6214(a,1),219(a,1,2))]. given #6263 (H,wt=28): 6507 K(((x * y) * z) \ (y * z),T(R(x,y,z),u)) = K(R(x,y,z) \ 1,R(x,y,z)). [para(113(a,1),6505(a,1,1,1))]. given #6264 (H,wt=28): 6607 K(x * (y * z),a(x,y,z) * (x * (y * z))) = K(x * (y * z),(x * y) * z). [para(91(a,1),6605(a,2,2))]. given #6265 (H,wt=28): 6723 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,R(x,z,u)). [para(5048(a,1),919(a,1,1,1))]. given #6266 (H,wt=24): 6891 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),6723(a,2,1,1))]. given #6267 (H,wt=28): 6743 L(x * K(y \ z,z \ y),u,w) != L(x,u,w) * v5 | K(y \ z,z \ y) = v5. [para(6741(a,2),19(a,1))]. given #6268 (H,wt=28): 6784 (x * y) * (z * (L(y \ 1,y,x) / z)) = (x * y) * (z * (((x * y) \ x) / z)). [hyper(236,a,4659,a(flip),b,4672,a(flip))]. given #6269 (H,wt=28): 6785 R((x \ (1 / y)) * x,y,z) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(3725(a,2),4674(a,1,1))]. given #6270 (H,wt=25): 6893 (x * y) * ((z \ ((x * y) \ y)) * z) = (((z \ (1 / x)) * z) * x) * y. [hyper(225,a,6785,a),flip(a)]. given #6271 (H,wt=28): 6789 ((x * y) * z) \ ((x * y) * R(z,x,y)) != u | a(z * K(x * y,z),x,y) = u. [para(6788(a,1),283(a,1,2)),flip(b)]. given #6272 (H,wt=28): 6842 K(x,R(y / x,x * z,u) \ 1) = K(x,(((y * z) * u) / ((x * z) * u)) \ 1). [para(493(a,1),6794(a,1,2,1)),flip(a)]. given #6273 (H,wt=26): 6894 K(x,R(y / x,x * z,u) \ 1) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(236,a,5795,a(flip),b,6842,a)]. given #6274 (H,wt=24): 6895 R(K(x,x / y),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(236,a,6798,a(flip),b,6894,a(flip)),flip(a)]. given #6275 (H,wt=24): 6896 R(K(x,y \ x),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [para(5304(a,1),6895(a,1,1))]. given #6276 (H,wt=22): 6897 K(x,((x * y) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x). [hyper(236,a,6678,a(flip),b,6896,a(flip))]. given #6277 (H,wt=24): 6898 K(R(x,x \ y,z),u \ x) = K(x,(y * z) / ((u * (x \ y)) * z)). [para(14(a,1),6897(a,1,2,1,1)),flip(a)]. given #6278 (H,wt=22): 6900 K(x,(y * z) / ((u * (x \ y)) * z)) = R(K(x,u \ x),y,z). [hyper(236,a,6676,a(flip),b,6898,a(flip))]. given #6279 (H,wt=28): 6890 K(((x * y) * z) \ (y * z),R(T(x,u),y,z)) = K(R(x,y,z) \ 1,R(x,y,z)). [para(42(a,2),6507(a,1,2))]. given #6280 (H,wt=22): 6901 K(((x * y) * z) \ (y * z),R(T(x,u),y,z)) = K(x \ 1,x). [hyper(236,a,3666,a(flip),b,6890,a)]. given #6281 (H,wt=28): 6892 (x * y) * L(z * ((y \ 1) / z),y,x) = (x * y) * (z * (((x * y) \ x) / z)). [para(4749(a,2),6784(a,1,2))]. given #6282 (H,wt=25): 6903 (x * y) * (z * (((x * y) \ x) / z)) = x * (y * (z * ((y \ 1) / z))). [hyper(219,a,6892,a),flip(a)]. given #6283 (H,wt=29): 4573 (x * y) \ (x * (K(z \ 1,z) * (y * u))) != w | L(K(z \ 1,z) * u,y,x) = w. [para(4527(a,2),447(a,1,2,2))]. given #6284 (H,wt=29): 4693 (L(x \ 1,y,z) \ (x \ 1)) * K(x,x \ 1) = (L(x \ 1,y,z) \ 1) * (x \ 1). [para(1804(a,1),4682(a,1,2))]. given #6285 (H,wt=29): 4718 (x \ 1) * (((y / (1 / x)) * (x \ 1)) \ (y / (1 / x))) = x \ (y \ (y / (1 / x))). [para(16(a,1),4717(a,2,2,1))]. given #6286 (H,wt=27): 6904 (x \ 1) * ((y * K(x \ 1,x)) \ (y / (1 / x))) = x \ (y \ (y / (1 / x))). [para(2737(a,1),4718(a,1,2,1))]. given #6287 (H,wt=29): 4786 L((x \ ((y \ 1) \ z)) * x,y \ 1,y) != u * w | u \ ((x \ (y * z)) * x) = w. [para(4753(a,2),545(a,1))]. given #6288 (H,wt=29): 4940 L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (1 / (x * K(y,x))) * L(x,z,u). [para(4853(a,1),2030(a,1,2,1)),flip(a)]. given #6289 (H,wt=27): 6905 L(T(x * K(y,x),y),z,u) / (x * K(y,x)) = (K(x,y) / x) * L(x,z,u). [para(5334(a,1),4940(a,2,1))]. given #6290 (H,wt=21): 6906 L(x,y,z) / (x * K(u,x)) = (K(x,u) / x) * L(x,y,z). [para(4853(a,1),6905(a,1,1,1))]. given #6291 (H,wt=21): 6907 ((K(x,y) / x) * L(x,z,u)) \ L(x,z,u) = x * K(y,x). [para(6906(a,1),65(a,1,1))]. given #6292 (H,wt=29): 5111 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(5093(a,1),2041(a,2,1,2,1))]. given #6293 (H,wt=27): 6909 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(5792(a,1),5111(a,1,2,1))]. given #6294 (H,wt=29): 5337 a(x,y * K(z,y),(y * K(z,y)) \ 1) = x \ R(x,y * K(z,y),y \ K(y,z)). [para(5113(a,1),688(a,1,2,3)),flip(a)]. given #6295 (H,wt=29): 5374 K(x,y) * (z * L(T(K(y,x),z),u,w)) = (K(x,y) * L(K(x,y) \ 1,u,w)) * z. [para(5259(a,1),1701(a,1,2,2,1))]. given #6296 (H,wt=27): 6910 (K(x,y) * L(K(x,y) \ 1,z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(181(a,1),5374(a,1,2)),flip(a)]. given #6297 (H,wt=25): 6911 (K(x,y) * L(K(y,x),z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(5093(a,1),6910(a,1,1,2,1))]. given #6298 (H,wt=29): 5375 K(x,y) * (z * R(T(K(y,x),z),u,w)) = (K(x,y) * R(K(x,y) \ 1,u,w)) * z. [para(5259(a,1),1961(a,1,2,2,1))]. given #6299 (H,wt=27): 6912 (K(x,y) * R(K(x,y) \ 1,z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(182(a,1),5375(a,1,2)),flip(a)]. given #6300 (H,wt=25): 6913 (K(x,y) * R(K(y,x),z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(5093(a,1),6912(a,1,1,2,1))]. given #6301 (H,wt=29): 5537 (x * (K(y,x) * z)) \ (K(y,x) * (x * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(5363(a,1),440(a,1,1))]. given #6302 (H,wt=29): 5919 x \ (R(1 / y,y,x) * ((z * (y * x)) / z)) = K(z,1 / (x \ R(1 / y,y,x))). [para(358(a,1),5225(a,1,2,2,1,2))]. given #6303 (H,wt=29): 5955 T((1 / x) * K(y * R(1 / x,x,z),1 / x),y) = R(1 / x,y,z / (x * z)). [para(159(a,1),5495(a,2,3))]. given #6304 (H,wt=27): 6916 T(K(x * R(1 / y,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). [para(5235(a,1),5955(a,1,1))]. given #6305 (H,wt=27): 6917 T(K(x * R(y \ 1,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). [para(5552(a,1),6916(a,1,1,1))]. given #6306 (H,wt=29): 6035 ((x \ y) \ y) * (y / T(T(x,x \ y),y)) = ((y * ((x \ y) \ y)) / y) * (x \ y). [para(120(a,2),5784(a,1,2,2,1))]. given #6307 (H,wt=25): 6918 ((x \ y) \ y) * (y / T(T(x,x \ y),y)) = x \ (y * ((x \ y) \ y)). [hyper(236,a,1643,a(flip),b,6035,a)]. given #6308 (H,wt=23): 6919 ((x \ y) \ y) * (y / T(T(x,x \ y),y)) = x * (y / T(x,y)). [hyper(236,a,4294,a(flip),b,6918,a)]. given #6309 (H,wt=29): 6081 ((x * (K(y \ x,x) * (y \ 1))) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(6080(a,1),1568(a,2,2,1))]. given #6310 (H,wt=25): 6920 (T(x * (y \ 1),x) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(6510(a,1),6081(a,1,1,1))]. given #6311 (H,wt=29): 6319 (((x * y) \ x) \ 1) * (z / (((x * y) \ x) \ 1)) = z * K(y,z * ((x * y) \ x)). [para(6293(a,1),6000(a,2,2))]. given #6312 (H,wt=29): 6403 (x * y) / ((x * T(y,(x \ 1) \ 1)) * (x \ 1)) = ((x * y) * (x \ 1)) \ (x * y). [para(949(a,1),6378(a,1,2))]. given #6313 (H,wt=23): 6922 (x * y) / ((y * x) * (x \ 1)) = ((x * y) * (x \ 1)) \ (x * y). [para(3028(a,1),6403(a,1,2,1))]. given #6314 (H,wt=22): 6923 ((x * y) * (x \ 1)) \ (x * y) = (x * y) / R(y,x,x \ 1). [para(189(a,1),6922(a,1,2)),flip(a)]. given #6315 (H,wt=26): 6924 (x * y) / R(y,x,x \ 1) != z | L((x \ 1) \ 1,x \ 1,x * y) = z. [para(6923(a,1),383(a,1))]. given #6316 (H,wt=29): 6526 K(T(x \ y,x) \ z,T(z,y \ T(x,x \ y))) = K((T(x,x \ y) \ y) \ z,z). [para(4109(a,1),6374(a,1,1,1))]. given #6317 (H,wt=29): 6729 K(x,y * ((((K(z,u) / z) \ 1) * u) * w)) = K(x,y * ((u * (1 / (1 / z))) * w)). [para(5660(a,1),6728(a,1,2,2,1)),flip(a)]. given #6318 (H,wt=27): 6926 K(x,y * (((z * K(u,z)) * u) * w)) = K(x,y * ((u * (1 / (1 / z))) * w)). [para(5382(a,1),6729(a,1,2,2,1,1))]. given #6319 (H,wt=23): 6927 K(x,y * ((z * (1 / (1 / u))) * w)) = K(x,y * ((z * u) * w)). [para(4900(a,1),6926(a,1,2,2,1)),flip(a)]. given #6320 (H,wt=29): 6747 T(x,x \ y) \ R(T(x,x \ y),z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(72,a,4932,a(flip),b,4859,a),flip(a)]. given #6321 (H,wt=29): 6880 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(6879(a,1),20(a,1))]. given #6322 (H,wt=29): 6914 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(5363(a,1),5537(a,1,2))]. given #6323 (H,wt=20): 6929 L(L(x,y,z),z * y,K(u,z)) = L(x,y,z * K(u,z)). [hyper(236,a,6726,a(flip),b,6914,a(flip))]. given #6324 (H,wt=29): 6928 ((x \ y) \ y) \ R((x \ y) \ y,z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(236,a,992,a(flip),b,6747,a(flip)),flip(a)]. given #6325 (H,wt=30): 4706 (x * (y * K(z \ 1,z))) * u != w * v5 | (K(z \ 1,z) * ((x * y) * u)) / v5 = w. [para(4547(a,2),555(a,1))]. given #6326 (H,wt=30): 5292 R(T(K(x,y),z),K(y,x) * u,(K(y,x) * u) \ z) = z \ (u * ((K(y,x) * u) \ z)). [para(5268(a,1),700(a,1,2,1)),flip(a)]. given #6327 (H,wt=30): 5548 (x * (y * z)) / ((x * z) * T(L(T(y,z),z,x),u)) = K(u,(x * (y * z)) / (x * z)). [para(178(a,1),5419(a,1,2,2,1))]. given #6328 (H,wt=27): 6930 (x * (y * z)) / (x * (z * T(T(y,z),u))) = K(u,(x * (y * z)) / (x * z)). [para(442(a,1),5548(a,1,2))]. given #6329 (H,wt=25): 6931 (x * (y * z)) / (x * (T(y,u) * z)) = K(u,(x * (y * z)) / (x * z)). [para(180(a,1),6930(a,1,2,2))]. given #6330 (H,wt=30): 5983 (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),5154(a,2,2))]. given #6331 (H,wt=26): 6932 (x \ R(x,y,z)) * K((R(x,y,z) \ 1) \ 1,u) = x \ R(T(x,u),y,z). [para(3379(a,1),5983(a,1,2,1,1))]. given #6332 (H,wt=22): 6933 (x \ R(x,y,z)) * K(R(x,y,z),u) = x \ R(T(x,u),y,z). [para(3247(a,1),6932(a,1,2))]. given #6333 (H,wt=30): 6052 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(6029(a,1),467(a,1))]. given #6334 (H,wt=30): 6285 R(K(x \ (y / z),y / z),y / z,z) = ((x * T(x \ (y / z),y / z)) * z) / y. [para(6219(a,2),3156(a,1,1,1)),flip(a)]. given #6335 (H,wt=27): 6934 ((x * T(x \ (y / z),y / z)) * z) / y = K(x \ (y / z),(z / y) \ 1). [hyper(6822,a,6285,a),flip(a)]. given #6336 (H,wt=27): 6935 (x * (y * T(y \ (x \ z),z / y))) / z = K(x \ (z / y),(y / z) \ 1). [para(1414(a,1),6934(a,1,1))]. given #6337 (H,wt=23): 6936 K(((x * y) / z) \ 1,z / y) = K(x \ (z / y),(y / z) \ 1). [hyper(236,a,5681,a(flip),b,6935,a(flip)),flip(a)]. given #6338 (H,wt=30): 6634 L(K(x,K(y \ 1,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w). [para(6049(a,2),6618(a,2,2,1))]. given #6339 (H,wt=30): 6635 L(K(x,K(y,z \ 1) * (u \ w)),u \ w,u) = K(x,(K(z \ K(z,u),y) * u) \ w). [para(6548(a,2),6618(a,2,2,1))]. given #6340 (H,wt=30): 6655 T(x,y) \ T(x * K(z \ x,T(x,u)),y) != w | K(T(z,u) \ T(x,u),T(x,y)) = w. [para(6653(a,1),5755(a,1,2,1,2))]. given #6341 (H,wt=30): 6661 R(K(x,(y / z) / (u * x)),y / z,z) = ((u * (x * ((u \ (y / z)) / x))) * z) / y. [para(6659(a,1),485(a,1,1))]. given #6342 (H,wt=25): 6937 ((x * (y * ((x \ (z / u)) / y))) * u) / z = K(y,z / ((x * y) * u)). [hyper(236,a,6811,a(flip),b,6661,a(flip))]. given #6343 (H,wt=30): 6724 (x * y) * (z \ T(z * L(y \ (z \ 1),y,x),u)) = (x * K(y \ 1,u)) * (z \ 1). [para(877(a,1),5168(a,1,2))]. given #6344 (H,wt=30): 6938 (x * y) * L(z \ T(z * (y \ (z \ 1)),z),y,x) = (x * K(y \ 1,z)) * (z \ 1). [para(1698(a,2),6724(a,1,2))]. given #6345 (H,wt=27): 6939 x * (y * (z \ T(z * (y \ (z \ 1)),z))) = (x * K(y \ 1,z)) * (z \ 1). [hyper(219,a,6938,a)]. given #6346 (H,wt=23): 6940 (x * K(y \ 1,z)) * (z \ 1) = x * (K(y \ 1,z) * (z \ 1)). [para(5916(a,1),6939(a,1,2)),flip(a)]. given #6347 (H,wt=21): 6941 (x * K(y \ 1,z)) * (z \ 1) = x * (T(z,y \ 1) \ 1). [para(5204(a,1),6940(a,2,2))]. given #6348 (H,wt=21): 6942 (x * K(y,z)) * (z \ 1) = x * (T(z,(1 / y) \ 1) \ 1). [para(65(a,1),6941(a,1,1,2,1))]. given #6349 (H,wt=17): 6943 (x * K(y,z)) * (z \ 1) = x * (T(z,y) \ 1). [para(65(a,1),6942(a,2,2,1,2))]. given #6350 (H,wt=17): 6944 x \ T(x * (y \ 1),y) = T(y,y \ x) \ 1. [hyper(72,a,6283,a(flip),b,6943,a(flip))]. given #6351 (H,wt=17): 6945 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) = K(z,y). [hyper(72,a,6943,a(flip),b,6649,a(flip))]. given #6352 (H,wt=12): 6952 L(K(x,y),y \ 1,z) = K(x,y). [hyper(5172,a,6945,a)]. given #6353 (H,wt=15): 6953 K(x,y) != z | L(K(x,y),y \ 1,u) = z. [para(6945(a,1),5172(a,1))]. given #6354 (H,wt=15): 6954 K((x * y) \ 1,x) = K(y \ (x \ 1),x). [hyper(6731,a,6952,a)]. given #6355 (H,wt=17): 6948 (x * K(y,z)) * (z \ 1) = x * (z \ K(y,z)). [para(4833(a,1),6943(a,2,2))]. given #6356 (H,wt=17): 6951 x \ T(x * (y \ 1),y) = ((y \ x) \ x) \ 1. [hyper(236,a,637,a(flip),b,6944,a)]. given #6357 (H,wt=17): 6956 ((x \ (1 / y)) * x) * y = K(y \ (x \ 1),x). [hyper(5165,a,6954,a)]. given #6358 (H,wt=17): 6957 (x * (y \ 1)) * K(z,y) = x * (y \ K(z,y)). [hyper(236,a,6649,a(flip),b,6948,a(flip)),flip(a)]. given #6359 (H,wt=17): 6959 T((x \ 1) * y,x) = (((x \ y) \ y) \ 1) * y. [para(6951(a,1),4634(a,1,1)),flip(a)]. given #6360 (H,wt=19): 6950 T(x,x \ (y \ 1)) \ 1 = y * T(y \ (x \ 1),x). [hyper(4636,a,6944,a),flip(a)]. given #6361 (H,wt=19): 6961 (((x \ 1) * y) \ y) \ y = (((x \ y) \ y) \ 1) * y. [hyper(4090,a,6959,a)]. given #6362 (H,wt=21): 6958 T(x * (y \ 1),y) \ z = (x * (((y \ x) \ x) \ 1)) \ z. [para(6951(a,1),293(a,1,1,2)),flip(a)]. given #6363 (H,wt=21): 6962 (((L(x,y,z) \ 1) * x) \ x) \ x = (L(x,y,z) \ 1) * x. [para(6066(a,1),6961(a,2,1,1))]. given #6364 (H,wt=19): 6963 L((x \ 1) \ 1,y,z) \ x = (L(x,y,z) \ 1) * x. [para(6776(a,1),6962(a,1,1))]. given #6365 (H,wt=23): 6960 (x * y) * ((z \ ((x * y) \ y)) * z) = K(x \ (z \ 1),z) * y. [para(6956(a,1),6893(a,2,1))]. given #6366 (H,wt=23): 6964 (L(1 / x,y,z) \ 1) * (1 / x) = L(x \ 1,y,z) \ (1 / x). [para(65(a,1),6963(a,1,1,1,1)),flip(a)]. given #6367 (H,wt=23): 6966 K(x,y / (x / ((z * y) \ 1))) = y / (K(z \ (x \ 1),x) * y). [para(6960(a,1),5927(a,1,2)),flip(a)]. given #6368 (H,wt=19): 6968 K(x,y / (x / ((z * y) \ 1))) = K(x,z \ (x \ 1)). [hyper(236,a,5266,a(flip),b,6966,a)]. given #6369 (H,wt=15): 6970 K(x,(y * x) \ 1) = K(x,y \ (x \ 1)). [hyper(236,a,5306,a(flip),b,6968,a(flip)),flip(a)]. given #6370 (H,wt=17): 6971 x * (y * ((x \ 1) / y)) = K(y,x \ (y \ 1)). [hyper(236,a,6019,a,b,6970,a(flip)),flip(a)]. given #6371 (H,wt=23): 6972 (x * y) * (z * (((x * y) \ x) / z)) = x * K(z,y \ (z \ 1)). [para(6971(a,1),6903(a,2,2))]. given #6372 (H,wt=24): 6946 (x * K(y,z)) * (z \ 1) != u * w | u \ (x * (T(z,y) \ 1)) = w. [para(6943(a,2),545(a,1))]. given #6373 (H,wt=26): 6973 (x * y) * (z * (((x * y) \ x) / z)) != x * u | K(z,y \ (z \ 1)) = u. [para(6972(a,2),19(a,1))]. given #6374 (H,wt=30): 6967 (L(1 / (x \ y),x \ y,x) \ 1) * (1 / (x \ y)) = (y \ (x * 1)) \ (1 / (x \ y)). [para(450(a,1),6964(a,2,1))]. given #6375 (H,wt=27): 6974 ((1 / (1 / (x \ y))) \ 1) * (1 / (y \ x)) = (x \ (y * 1)) \ (1 / (y \ x)). [para(2703(a,1),6967(a,1,1,1))]. given #6376 (H,wt=23): 6975 (x \ (y * 1)) \ (1 / (y \ x)) = (1 / (x \ y)) * (1 / (y \ x)). [hyper(582,a,6974,a),flip(a)]. given #6377 (H,wt=21): 6977 (x \ (y * 1)) \ (1 / (y \ x)) = (y \ x) \ ((x \ y) \ 1). [hyper(236,a,6787,a(flip),b,6975,a)]. given #6378 (H,wt=19): 6978 (x \ y) \ ((y \ x) \ 1) = (y \ x) \ (1 / (x \ y)). [para(12(a,1),6977(a,1,1,2)),flip(a)]. given #6379 (H,wt=23): 6979 ((x * y) \ x) \ (1 / (x \ (x * y))) = y \ (((x * y) \ x) \ 1). [para(13(a,1),6978(a,1,1)),flip(a)]. given #6380 (H,wt=23): 6980 (x \ (x * y)) \ (1 / ((x * y) \ x)) = ((x * y) \ x) \ (y \ 1). [para(13(a,1),6978(a,1,2,1)),flip(a)]. given #6381 (H,wt=19): 6982 ((x * y) \ x) \ (y \ 1) = y \ (1 / ((x * y) \ x)). [para(13(a,1),6980(a,1,1)),flip(a)]. given #6382 (H,wt=22): 6984 (x \ 1) \ (x \ (1 / ((y * x) \ y))) = L(x \ 1,x,y) \ 1. [para(6982(a,1),1220(a,1,2))]. given #6383 (H,wt=23): 6981 (x \ (x / y)) \ (1 / ((x / y) \ x)) = y \ ((x \ (x / y)) \ 1). [para(65(a,1),6978(a,1,1)),flip(a)]. given #6384 (H,wt=23): 6983 ((x * (1 / (1 / y))) \ x) \ (1 / y) = y \ (1 / ((x * y) \ x)). [hyper(236,a,3860,a,b,6982,a(flip)),flip(a)]. given #6385 (H,wt=31): 4670 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = ((u * ((y / x) / u)) * x) * (y \ z). [hyper(236,a,3861,a(flip),b,4659,a(flip))]. given #6386 (H,wt=31): 5214 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(4860(a,1),440(a,1,1)),flip(a)]. given #6387 (H,wt=25): 6986 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (z * (y * x)). [para(4860(a,1),5214(a,2,2))]. given #6388 (H,wt=23): 6987 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) != w | L(x,y,z) = w. [para(6986(a,2),447(a,1))]. given #6389 (H,wt=31): 6231 (x / y) \ T(x * K(y,z),(x / y) \ 1) = (((x / y) \ 1) \ T(y,z)) * ((x / y) \ 1). [para(6200(a,1),878(a,1,2,1))]. given #6390 (H,wt=31): 6257 ((x / y) \ T(x * K(y,z),(x / y) \ 1)) / T(y,z) = K(x * K(y,z),(x / y) \ 1). [para(6221(a,1),5720(a,1,2))]. given #6391 (H,wt=31): 6464 (((x \ y) \ y) \ L((x \ y) \ y,z,u)) * K(x,x \ y) = L((x \ y) \ y,z,u) / x. [para(4765(a,1),6196(a,1,1))]. given #6392 (H,wt=31): 6712 ((x \ 1) * (L(x \ 1,x,y) \ z)) / (1 / x) = (z / L(x \ 1,x,y)) * K(x \ 1,x). [hyper(74,a,6542,a(flip),b,6355,a)]. given #6393 (H,wt=25): 6990 ((x \ 1) * (L(x \ 1,x,y) \ z)) / (1 / x) = z / L(1 / x,x,y). [hyper(236,a,6730,a(flip),b,6712,a)]. given #6394 (H,wt=31): 6965 (L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1)) * (x \ 1) = ((L(x,y,z) \ 1) * x) * (1 / x). [para(6963(a,1),3839(a,2,1))]. given #6395 (H,wt=21): 6991 L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1) = L(x,y,z) \ x. [hyper(18,a,4694,a(flip),b,6965,a)]. given #6396 (H,wt=31): 6985 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = (x * (u * ((x \ y) / u))) * (y \ z). [para(4659(a,1),4670(a,2,1))]. given #6397 (H,wt=31): 6989 T((((x / y) \ 1) \ y) * ((x / y) \ 1),z) = (x / y) \ T(x * K(y,z),(x / y) \ 1). [hyper(236,a,4639,a,b,6231,a),flip(a)]. given #6398 (H,wt=23): 6993 (x / y) \ T(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z). [para(3805(a,1),6989(a,1,1)),flip(a)]. given #6399 (H,wt=23): 6994 K(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z) / T(y,z). [para(6993(a,1),6257(a,1,1)),flip(a)]. given #6400 (H,wt=19): 6995 K(x * K(y,z),(x / y) \ 1) = K(x,x \ T(y,z)). [hyper(236,a,5297,a(flip),b,6994,a)]. given #6401 (H,wt=32): 4704 (x * y) \ (K(z,z \ 1) * (x * (K(z \ 1,z) * (y * u)))) = L(u,y * K(z \ 1,z),x). [hyper(3662,a,4546,a),flip(a)]. given #6402 (H,wt=20): 6996 L(x,y * K(z \ 1,z),u) = (u * y) \ (u * (y * x)). [para(4568(a,1),4704(a,1,2)),flip(a)]. given #6403 (H,wt=15): 6997 L(x,y * K(z \ 1,z),u) = L(x,y,u). [hyper(236,a,28,a,b,6996,a)]. given #6404 (H,wt=13): 6999 L(x,(y \ 1) \ 1,z) = L(x,y,z). [para(1377(a,1),6997(a,1,2)),flip(a)]. given #6405 (H,wt=13): 7000 L(x,1 / y,z) = L(x,y \ 1,z). [para(1434(a,1),6997(a,1,2)),flip(a)]. given #6406 (H,wt=13): 7001 L(x,1 / (1 / y),z) = L(x,y,z). [para(1738(a,1),6997(a,1,2))]. given #6407 (H,wt=14): 7006 L(K(x,y \ 1),y,z) = K(x,y \ 1). [hyper(236,a,6952,a(flip),b,6999,a(flip))]. given #6408 (H,wt=15): 7002 L(x,K(y \ 1,y) * z,u) = L(x,z,u). [para(2516(a,2),6997(a,1,2))]. given #6409 (H,wt=17): 7003 L(x,y * (1 / z),u) = L(x,y * (z \ 1),u). [para(2740(a,1),6997(a,1,2)),flip(a)]. given #6410 (H,wt=17): 7004 L(x,(1 / y) \ z,u) = L(x,(y \ 1) \ z,u). [para(2949(a,1),6997(a,1,2))]. given #6411 (H,wt=19): 7008 L(x,L(1 / y,z,u),w) = L(x,L(y \ 1,z,u),w). [para(2700(a,1),6999(a,1,2)),flip(a)]. given #6412 (H,wt=19): 7014 (x * y) * K(z,y \ 1) = x * (y * K(z,y \ 1)). [para(7006(a,1),103(a,1,2))]. given #6413 (H,wt=10): 7016 R(x,y,K(z,y \ 1)) = x. [hyper(467,a,7014,a)]. given #6414 (H,wt=12): 7018 R(x,y \ z,K(u,z \ y)) = x. [para(6408(a,1),7016(a,1,3))]. given #6415 (H,wt=19): 7020 x \ (y * K(z,y \ x)) = (x \ y) * K(z,y \ x). [para(7018(a,1),463(a,1,1))]. given #6416 (H,wt=20): 7011 (x * (1 / y)) * L(z,y \ 1,x) = x * ((1 / y) * z). [para(7000(a,1),103(a,1,2))]. given #6417 (H,wt=19): 7023 (x * (1 / y)) * K(z,y) = x * ((1 / y) * K(z,y)). [para(6952(a,1),7011(a,1,2))]. given #6418 (H,wt=17): 7024 (x * (1 / y)) * K(z,y) = x * (1 / T(y,z)). [para(4848(a,1),7023(a,2,2))]. given #6419 (H,wt=17): 7025 (x / (1 / y)) * (1 / T(y,z)) = x * K(z,y). [hyper(303,a,7024,a),flip(a)]. given #6420 (H,wt=15): 7026 T(x,y) / (1 / T(y,x)) = x / (1 / y). [hyper(74,a,4887,a,b,7025,a)]. given #6421 (H,wt=19): 7027 T(x,y / x) / (1 / (x \ y)) = x / (1 / (y / x)). [para(121(a,1),7026(a,1,2,2))]. given #6422 (H,wt=19): 7028 (x / (1 / (x \ y))) / x = x \ (x / (1 / (y / x))). [para(7027(a,1),4158(a,1,2)),flip(a)]. given #6423 (H,wt=21): 7005 L(x,T(1 / y,z) \ u,w) = L(x,T(y \ 1,z) \ u,w). [para(3343(a,1),6997(a,1,2))]. given #6424 (H,wt=22): 7012 (x * (1 / (1 / y))) * L(z,y,x) = x * ((1 / (1 / y)) * z). [para(7001(a,1),103(a,1,2))]. given #6425 (H,wt=23): 7015 L(x,(y \ K(y,z)) * T(y,u),w) = L(x,K(y,z) * K(y,u),w). [para(6104(a,1),7002(a,1,2))]. given #6426 (H,wt=23): 7019 (x * (y \ z)) * K(u,z \ y) = x * ((y \ z) * K(u,z \ y)). [para(7018(a,1),113(a,1,1)),flip(a)]. given #6427 (H,wt=25): 7022 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = T((x \ y) * (y \ x),z). [para(7020(a,1),6662(a,1,2))]. given #6428 (H,wt=17): 7032 T((x \ y) * (y \ x),z) = (x \ y) * (y \ x). [hyper(5623,a,7022,a),flip(a)]. given #6429 (H,wt=11): 7034 T(x,(y \ z) * (z \ y)) = x. [hyper(35,a,7032,a)]. given #6430 (H,wt=11): 7037 T(x,y * ((z * y) \ z)) = x. [para(13(a,1),7034(a,1,2,1))]. given #6431 (H,wt=11): 7040 K(x,y * ((z * y) \ z)) = 1. [hyper(36,a,7037,a)]. given #6432 (H,wt=17): 7041 T(x * ((y * x) \ y),z) = x * ((y * x) \ y). [hyper(35,a,7037,a)]. given #6433 (H,wt=18): 7043 T(x * L(x \ 1,x,y),z) = x * ((y * x) \ y). [para(158(a,2),7041(a,1,1,2))]. given #6434 (H,wt=17): 7044 T(x,y) * ((x * y) \ y) = x * ((y * x) \ y). [hyper(236,a,5605,a(flip),b,7043,a(flip)),flip(a)]. given #6435 (H,wt=19): 7035 x / ((y \ z) * (z \ y)) = ((y \ z) * (z \ y)) \ x. [para(7032(a,1),197(a,1,2))]. given #6436 (H,wt=19): 7038 x / (y * ((z * y) \ z)) = (y * ((z * y) \ z)) \ x. [hyper(2346,a,7037,a),flip(a)]. given #6437 (H,wt=19): 7047 ((x * y) \ y) / (T(x,y) \ 1) = x * ((y * x) \ y). [hyper(236,a,1261,a,b,7044,a(flip)),flip(a)]. given #6438 (H,wt=22): 7042 x / (y * ((z * y) \ z)) != u | (y * ((z * y) \ z)) \ x = u. [para(7037(a,1),280(a,1))]. given #6439 (H,wt=23): 7048 (((x / y) \ x) * (x \ (x / y))) \ z = z / (y * (x \ (x / y))). [para(65(a,1),7035(a,1,2,1)),flip(a)]. given #6440 (H,wt=19): 7050 x / (y * (z \ (z / y))) = (y * (z \ (z / y))) \ x. [para(65(a,1),7048(a,1,1,1)),flip(a)]. given #6441 (H,wt=25): 7029 T((x / (1 / (x \ y))) / x,1 / (y / x)) = x \ (x / ((y / x) \ 1)). [para(7028(a,2),2780(a,1,1))]. given #6442 (H,wt=25): 7030 (x * (1 / (1 / y))) * z != x * ((1 / (1 / y)) * u) | L(u,y,x) = z. [para(7012(a,1),19(a,1)),flip(a)]. given #6443 (H,wt=25): 7049 ((x * (y / x)) \ (y / x)) / (T(x,y / x) \ 1) = x * (y \ (y / x)). [para(16(a,1),7047(a,2,2,1))]. given #6444 (H,wt=21): 7052 (x \ (y \ x)) / (T(y,x / y) \ 1) = y * (x \ (x / y)). [para(5963(a,1),7049(a,1,1))]. given #6445 (H,wt=21): 7053 (x \ (y \ x)) / (((y \ x) \ x) \ 1) = y * (x \ (x / y)). [para(4149(a,1),7052(a,1,2,1))]. given #6446 (H,wt=19): 7054 ((x \ y) \ y) * (y \ (x \ y)) = x * (y \ (y / x)). [hyper(1458,a,7053,a)]. given #6447 (H,wt=32): 4705 (K(x \ 1,x) * ((y * z) * u)) / ((z * K(x \ 1,x)) * u) = R(y,z * K(x \ 1,x),u). [hyper(74,a,4547,a(flip),b,113,a)]. given #6448 (H,wt=32): 5973 T(x,x \ y) \ R(T(z,z \ u),w,v5) != v6 | ((x \ y) \ y) \ R((z \ u) \ u,w,v5) = v6. [para(991(a,2),5972(a,1))]. given #6449 (H,wt=32): 6462 K(x,((((y / z) \ u) * (y / z)) * z) \ y) != w | K(x,T(y \ (u * z),y / z) \ 1) = w. [para(1417(a,2),6460(a,1,2,1))]. given #6450 (H,wt=32): 6550 T((x * (1 / y)) \ x,z) != u | T(K(y,z),(x * (1 / y)) \ x) = ((x * (1 / y)) \ x) \ u. [para(6525(a,1),207(a,1))]. given #6451 (H,wt=32): 6713 (x / L(y \ 1,y,z)) * (y \ 1) != u * w | ((y \ 1) * (L(y \ 1,y,z) \ x)) / w = u. [para(6542(a,2),555(a,1))]. given #6452 (H,wt=32): 6823 K(((x * (y * z)) / z) \ 1,z / (y * z)) = K((x / R(1 / y,y,z)) \ 1,z / (y * z)). [para(737(a,1),6821(a,1,1,1))]. given #6453 (H,wt=30): 7056 K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(((x * (y * z)) / z) \ 1,y \ 1). [hyper(5806,a,6823,a),flip(a)]. given #6454 (H,wt=28): 7058 K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(z / (x * (y * z)),y \ 1). [hyper(236,a,5699,a(flip),b,7056,a)]. given #6455 (H,wt=26): 7059 K((x / R(1 / y,y,z)) \ 1,y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(5806,a,7058,a)]. given #6456 (H,wt=24): 7060 K(R(1 / x,x,y) / z,x \ 1) = K(y / (z * (x * y)),x \ 1). [hyper(5825,a,7059,a)]. given #6457 (H,wt=32): 7055 (K(x \ 1,x) * ((y * z) * u)) / (K(x \ 1,x) * (z * u)) = R(y,z * K(x \ 1,x),u). [para(3651(a,1),4705(a,1,2))]. given #6458 (H,wt=32): 7062 K(x,x \ 1) * ((K(x \ 1,x) * ((y * z) * u)) / (z * u)) = R(y,z * K(x \ 1,x),u). [hyper(236,a,4538,a(flip),b,7055,a(flip)),flip(a)]. given #6459 (H,wt=27): 7063 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z * K(x \ 1,x),u). [para(3714(a,1),7062(a,1,2))]. given #6460 (H,wt=15): 7064 R(x,y * K(z \ 1,z),u) = R(x,y,u). [hyper(5400,a,7063,a),flip(a)]. given #6461 (H,wt=13): 7066 R(x,(y \ 1) \ 1,z) = R(x,y,z). [para(1377(a,1),7064(a,1,2)),flip(a)]. given #6462 (H,wt=13): 7067 R(x,1 / y,z) = R(x,y \ 1,z). [para(1434(a,1),7064(a,1,2)),flip(a)]. given #6463 (H,wt=17): 7070 R(x,1 / y,1 / (1 / z)) = R(x,y \ 1,z). [hyper(236,a,4506,a(flip),b,7067,a)]. given #6464 (H,wt=17): 7073 R(x,1 / y,(1 / y) \ 1) = R(x,y \ 1,y). [hyper(2877,a,7070,a)]. given #6465 (H,wt=22): 7068 R(x,y,z) * (((y \ 1) \ 1) * z) = (x * ((y \ 1) \ 1)) * z. [para(7066(a,1),113(a,1,1))]. given #6466 (H,wt=22): 7069 R(1 / (1 / x),x \ 1,(1 / x) \ y) = ((1 / x) \ y) / y. [hyper(734,a,7067,a),flip(a)]. given #6467 (H,wt=24): 7071 1 / R(T(x,(1 / x) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(7067(a,1),3519(a,1,2))]. given #6468 (H,wt=24): 7072 x * R(1 / (1 / y),y \ 1,(1 / y) \ x) = (1 / y) \ T(x,y). [para(7067(a,1),3808(a,1,2))]. given #6469 (H,wt=24): 7077 1 / R(T(x,(x \ 1) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(2962(a,1),7071(a,1,2,1))]. given #6470 (H,wt=25): 7075 (x * ((y \ 1) \ 1)) * z != u * (((y \ 1) \ 1) * z) | R(x,y,z) = u. [para(7068(a,1),20(a,1))]. given #6471 (H,wt=26): 7078 (((1 / x) * (y * x)) \ (y * x)) \ 1 = 1 / R(T(x,y),x \ 1,y * x). [para(4401(a,1),7077(a,1,2,1)),flip(a)]. given #6472 (H,wt=32): 7076 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((1 / x) \ y) / y). [para(7069(a,2),98(a,1,2,2))]. given #6473 (H,wt=32): 7079 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((x \ 1) \ y) / y). [hyper(236,a,5242,a(flip),b,7076,a)]. given #6474 (H,wt=23): 7080 K(x,((y \ 1) \ x) / x) = ((1 / y) \ x) \ ((1 / y) \ T(x,y)). [para(7072(a,1),7079(a,1,2)),flip(a)]. given #6475 (H,wt=19): 7081 K(x \ ((x \ 1) \ y),x) = K(y,((x \ 1) \ y) / y). [hyper(236,a,5926,a(flip),b,7080,a),flip(a)]. given #6476 (H,wt=17): 7082 K(x \ ((x \ 1) \ y),x) = K(y,(x \ 1) \ 1). [hyper(236,a,5798,a(flip),b,7081,a)]. given #6477 (H,wt=13): 7084 K(x \ ((x \ 1) \ y),x) = K(y,x). [hyper(236,a,5233,a(flip),b,7082,a)]. given #6478 (H,wt=13): 7085 K(x \ ((1 / x) \ y),x) = K(y,x). [hyper(236,a,5527,a,b,7084,a(flip)),flip(a)]. given #6479 (H,wt=13): 7087 K((1 / x) * y,x) = K(x \ y,x). [para(13(a,1),7085(a,1,1,2)),flip(a)]. given #6480 (H,wt=15): 7086 K((x / ((1 / x) \ y)) \ 1,x) = K(y,x). [hyper(236,a,5694,a,b,7085,a(flip)),flip(a)]. given #6481 (H,wt=15): 7088 K((1 / x) * y,x) = K(y * (1 / x),x). [hyper(236,a,6007,a,b,7087,a)]. given #6482 (H,wt=15): 7089 K((1 / x) * (y * x),x) = K(T(y,x),x). [para(32(a,2),7087(a,2,1))]. given #6483 (H,wt=17): 7091 K(T((1 / x) * y,x),x) = K(T(x \ y,x),x). [para(935(a,1),7089(a,1,1))]. given #6484 (H,wt=17): 7092 K(T((x \ 1) * y,x),x) = K(T(x \ y,x),x). [hyper(236,a,5726,a(flip),b,7091,a(flip)),flip(a)]. given #6485 (H,wt=17): 7093 K(T(x \ y,x),x) \ 1 = K(x,(x \ 1) * y). [para(7092(a,1),5100(a,1,1))]. given #6486 (H,wt=13): 7094 K(x,(x \ 1) * y) = K(x,x \ y). [hyper(5119,a,7093,a),flip(a)]. given #6487 (H,wt=15): 7095 K(x,(x \ 1) * y) * y = x * (y / x). [para(7094(a,2),4909(a,1,1))]. given #6488 (H,wt=15): 7096 K(x,(1 / x) * y) * y = x * (y / x). [para(5477(a,2),7095(a,1,1))]. given #6489 (H,wt=19): 7090 K((1 / (1 / x)) * y,1 / x) = K(y * x,1 / x). [hyper(236,a,5426,a(flip),b,7088,a)]. given #6490 (H,wt=20): 7097 K(x,L(y,x,x \ 1)) * (y * x) = x * ((y * x) / x). [para(5500(a,1),7096(a,1,1))]. given #6491 (H,wt=16): 7098 K(x,L(y,x,x \ 1)) * (y * x) = x * y. [para(15(a,1),7097(a,2,2))]. given #6492 (H,wt=12): 7099 K(x,L(y,x,x \ 1)) = K(x,y). [hyper(4819,a,7098,a),flip(a)]. given #6493 (H,wt=17): 7100 K(R(x,x \ 1,y),L(z,x,x \ 1)) = K(x,z). [hyper(236,a,6677,a,b,7099,a(flip)),flip(a)]. given #6494 (H,wt=17): 7101 K(x \ 1,(x \ 1) \ y) = K(x \ 1,x * y). [para(2922(a,1),7099(a,1,2)),flip(a)]. given #6495 (H,wt=15): 7102 K(x \ 1,y * x) = K(x \ 1,x * y). [hyper(236,a,5996,a(flip),b,7101,a(flip)),flip(a)]. given #6496 (H,wt=17): 7104 x * T(x \ 1,y * x) = K(x \ 1,x * y). [hyper(4948,a,7102,a)]. given #6497 (H,wt=15): 7107 T(x \ 1,y * x) = T(x \ 1,x * y). [hyper(17,a,4830,a,b,7104,a)]. given #6498 (H,wt=15): 7109 T(x \ 1,y * x) = ((x \ 1) \ y) \ y. [hyper(236,a,4409,a(flip),b,7107,a)]. given #6499 (H,wt=17): 7112 T((x \ y) \ 1,y) = (((x \ y) \ 1) \ x) \ x. [para(14(a,1),7109(a,1,2))]. given #6500 (H,wt=17): 7113 x / T((x \ y) \ 1,y) = ((x \ y) \ 1) \ x. [para(7112(a,2),62(a,1,2))]. given #6501 (H,wt=18): 7108 K(x \ 1,x * y) != z | K(x \ 1,y * x) = z. [para(7104(a,1),5129(a,1))]. given #6502 (H,wt=19): 7103 (x \ 1) * (y / (x \ 1)) = y * K(x \ 1,x * y). [para(7101(a,1),5079(a,1,2)),flip(a)]. given #6503 (H,wt=19): 7105 ((x * y) \ y) * (x * y) = y * K(x \ 1,y * x). [para(7102(a,2),5708(a,2,2))]. given #6504 (H,wt=19): 7106 ((1 / x) \ y) * K(x \ 1,x * y) = y / (1 / x). [para(7102(a,1),5997(a,1,2))]. given #6505 (H,wt=20): 7115 K(x \ 1,(x \ 1) \ y) != z | K(x \ 1,y * x) = z. [para(7101(a,2),7108(a,1))]. given #6506 (H,wt=25): 7114 K(x,T((y \ z) \ 1,z) \ x) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [para(7112(a,2),6600(a,1,2,1))]. given #6507 (H,wt=33): 4309 (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(4123(a,1),174(a,1,1,2))]. given #6508 (H,wt=31): 7116 (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(1498(a,1),4309(a,1,1))]. given #6509 (H,wt=29): 7117 (R(x,y,z) * (u * x)) \ ((R(x,y,z) * u) * x) = a(x,T(u,x),R(T(x,u),y,z)). [para(1119(a,1),7116(a,1,2))]. given #6510 (H,wt=19): 7118 a(x,T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(679,a,7117,a),flip(a)]. given #6511 (H,wt=25): 7119 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(236,a,4416,a,b,7118,a(flip)),flip(a)]. given #6512 (H,wt=23): 7120 a(T(x,y),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [para(4104(a,1),7119(a,1,1))]. given #6513 (H,wt=33): 5062 ((x * y) / x) * T(((x * y) / x) \ (z * (y \ ((x * y) / x))),y) = ((y \ z) * y) * K(x,y). [para(4877(a,2),985(a,1,2)),flip(a)]. given #6514 (H,wt=29): 7121 ((x * y) / x) * T(((x * y) / x) \ (z * K(x,y)),y) = ((y \ z) * y) * K(x,y). [para(4877(a,2),5062(a,1,2,1,2,2))]. given #6515 (H,wt=27): 7122 (x * (y * T(y \ T(z * K(x,y),x),y))) / x = ((y \ z) * y) * K(x,y). [hyper(236,a,2255,a(flip),b,7121,a(flip)),flip(a)]. given #6516 (H,wt=25): 7123 (x * ((y \ T(z * K(x,y),x)) * y)) / x = ((y \ z) * y) * K(x,y). [para(119(a,1),7122(a,1,1,2))]. given #6517 (H,wt=23): 7124 (((x \ (y * K(z,x))) * x) * z) / z = ((x \ y) * x) * K(z,x). [para(4653(a,1),7123(a,1,1))]. given #6518 (H,wt=19): 7125 (x \ (y * K(z,x))) * x = ((x \ y) * x) * K(z,x). [hyper(304,a,7124,a)]. given #6519 (H,wt=22): 7127 ((x \ y) * x) * K(z,x) != u * x | x \ (y * K(z,x)) = u. [para(7125(a,1),20(a,1))]. given #6520 (H,wt=25): 7128 (((x \ y) * x) * K(z,x)) / K(z,x) = T(x,z) * T(T(x,z) \ y,x). [para(7125(a,1),6746(a,1,1))]. given #6521 (H,wt=17): 7129 T(x,y) * T(T(x,y) \ z,x) = (x \ z) * x. [hyper(304,a,7128,a),flip(a)]. given #6522 (H,wt=17): 7130 (x \ (y * T(x,z))) * x = T(y,x) * T(x,z). [hyper(706,a,7129,a),flip(a)]. given #6523 (H,wt=15): 7132 x \ (y * T(x,z)) = T(y,x) * K(x,z). [hyper(18,a,6188,a,b,7130,a)]. given #6524 (H,wt=13): 7135 T(T(x,y),K(y,z)) = T(x,T(y,z)). [hyper(168,a,7132,a(flip),b,5177,a)]. given #6525 (H,wt=13): 7138 T(T(x,K(y,z)),y) = T(x,T(y,z)). [hyper(417,a,7135,a)]. given #6526 (H,wt=11): 7146 T(x,T(y,T(x,z))) = T(x,y). [para(6441(a,1),7138(a,1,1)),flip(a)]. given #6527 (H,wt=13): 7145 T(K(x,y),T(z,y)) = T(K(x,y),z). [para(5850(a,1),7138(a,1,1)),flip(a)]. given #6528 (H,wt=13): 7147 T(x,T(y,T(x,z))) = x * K(x,y). [hyper(236,a,4887,a(flip),b,7146,a)]. given #6529 (H,wt=14): 7149 T(x,T(y,T(x,z))) != u | T(x,y) = u. [para(7147(a,2),4890(a,1))]. given #6530 (H,wt=15): 7133 T(x * K(y,z),y) = T(x,y) * K(y,z). [hyper(6206,a,7132,a)]. given #6531 (H,wt=15): 7139 T(x / y,T(y,z)) = T(y \ x,K(y,z)). [para(121(a,1),7135(a,1,1)),flip(a)]. given #6532 (H,wt=11): 7156 T(x \ y,K(x,y)) = x \ y. [hyper(236,a,3908,a(flip),b,7139,a(flip))]. given #6533 (H,wt=15): 7140 T((x * y) / x,T(x,z)) = T(y,K(x,z)). [para(162(a,1),7135(a,1,1)),flip(a)]. given #6534 (H,wt=15): 7141 T(x,K(y,z)) * y = y * T(x,T(y,z)). [para(7135(a,1),180(a,1,2)),flip(a)]. given #6535 (H,wt=15): 7151 T(K(x,y) * z,y) = K(x,y) * T(z,y). [hyper(6146,a,7133,a),flip(a)]. given #6536 (H,wt=15): 7152 K(x,y) * T(K(x,y) \ z,y) = T(z,y). [hyper(6145,a,7133,a)]. given #6537 (H,wt=15): 7158 K(x,y) * (x \ y) = (x \ y) * K(x,y). [para(7156(a,1),119(a,1,2))]. given #6538 (H,wt=15): 7159 T(x * y,K(y,z)) / y = T(x,K(y,z)). [hyper(236,a,6468,a,b,7140,a(flip)),flip(a)]. given #6539 (H,wt=15): 7161 T(x * y,K(x,z)) = x * T(y,K(x,z)). [para(7140(a,1),6469(a,1,2)),flip(a)]. given #6540 (H,wt=9): 7171 T(x,K(y,y * x)) = x. [hyper(3143,a,7161,a)]. given #6541 (H,wt=11): 7172 T(x / y,K(y,x)) = x / y. [para(6606(a,1),7171(a,1,2))]. given #6542 (H,wt=11): 7173 T(x / y,K(x,y)) = x / y. [para(7172(a,1),5845(a,1,1))]. given #6543 (H,wt=13): 7174 T(x / y,T(x,y)) = T(x / y,x). [para(7173(a,1),7138(a,1,1)),flip(a)]. given #6544 (H,wt=15): 7162 T(x * y,K(y,z)) = T(x,K(y,z)) * y. [hyper(236,a,6466,a,b,7141,a),flip(a)]. given #6545 (H,wt=15): 7163 T(x,K(y,z)) / y = T(x / y,K(y,z)). [hyper(74,a,6469,a(flip),b,7141,a)]. given #6546 (H,wt=15): 7164 T(x,y) \ (z * x) = T(K(y,x) * z,x). [hyper(5613,a,7151,a(flip))]. given #6547 (H,wt=15): 7165 K(x,y) * T(K(x,y) \ z,x) = T(z,x). [hyper(17,a,6131,a,b,7151,a(flip)),flip(a)]. given #6548 (H,wt=15): 7167 T(x * K(y,z),z) = T(x,z) * K(y,z). [hyper(706,a,7152,a),flip(a)]. given #6549 (H,wt=15): 7169 T(K(x,y) * z,x) = K(x,y) * T(z,x). [para(7152(a,1),6131(a,1,2)),flip(a)]. given #6550 (H,wt=15): 7170 x \ T(y,K(x,z)) = T(x \ y,K(x,z)). [hyper(4656,a,7159,a)]. given #6551 (H,wt=15): 7175 T(T(x,y) / z,K(z,x)) = T(x,y) / z. [para(3144(a,1),7163(a,1,1)),flip(a)]. given #6552 (H,wt=15): 7176 T(K(x,y) * (z / y),y) = T(y,x) \ z. [para(16(a,1),7164(a,1,2)),flip(a)]. given #6553 (H,wt=15): 7183 T(T(x,y) / z,K(x,z)) = T(x,y) / z. [para(7175(a,1),5845(a,1,1))]. given #6554 (H,wt=16): 7142 T(x,T(y,z)) != u | T(T(x,y),K(y,z)) = u. [para(7138(a,1),417(a,1))]. given #6555 (H,wt=16): 7160 T(T(x,K(y,z)),y) != u | T(x,T(y,z)) = u. [para(7140(a,1),672(a,1,1))]. given #6556 (H,wt=16): 7185 T(T(x,y),K(y,z)) != u | T(x,T(y,z)) = u. [para(38(a,1),7160(a,1))]. given #6557 (H,wt=17): 7134 K(x,y) * T(z,T(x,y)) = T(z,x) * K(x,y). [hyper(5610,a,7132,a)]. given #6558 (H,wt=17): 7144 L(x,T(y,K(x,z)),x) = L(x,T(y,T(x,z)),x). [para(7138(a,1),4307(a,1,2)),flip(a)]. given #6559 (H,wt=17): 7153 (T(x,y) / y) * T(y,z) = T(x * K(y,z),y). [hyper(236,a,6200,a,b,7133,a),flip(a)]. given #6560 (H,wt=17): 7181 x * T(K(x,y) * z,x) = K(x,y) * (z * x). [para(7169(a,2),5512(a,1,2))]. given #6561 (H,wt=15): 7189 (K(x,y) * z) * x = K(x,y) * (z * x). [hyper(220,a,7181,a)]. given #6562 (H,wt=8): 7192 L(x,y,K(x,z)) = x. [hyper(7030,a,7189,a)]. given #6563 (H,wt=10): 7191 R(K(x,y),z,x) = K(x,y). [hyper(7075,a,7189,a)]. given #6564 (H,wt=10): 7205 K(x,R(y,z,x)) = K(x,y). [hyper(236,a,6824,a(flip),b,7191,a(flip)),flip(a)]. given #6565 (H,wt=10): 7208 K(R(x,y,x),z) = K(x,z). [hyper(236,a,6678,a(flip),b,7191,a(flip)),flip(a)]. given #6566 (H,wt=11): 7204 L(x,y,R(K(x,z),u,w)) = x. [para(6797(a,1),7192(a,1,3))]. given #6567 (H,wt=11): 7218 L(x,y,K(R(x,z,u),w)) = x. [para(6678(a,1),7204(a,1,3))]. given #6568 (H,wt=12): 7201 L(K(x,y),z,K(x,u)) = K(x,y). [para(7192(a,1),6577(a,1,1)),flip(a)]. given #6569 (H,wt=12): 7202 L(K(x,y),z,K(y,u)) = K(x,y). [para(7192(a,1),6582(a,1,2)),flip(a)]. given #6570 (H,wt=12): 7209 T(x,R(y,z,x)) = x * K(x,y). [para(7205(a,1),4887(a,2,2))]. given #6571 (H,wt=10): 7225 T(x,R(y,z,x)) = T(x,y). [hyper(236,a,4887,a,b,7209,a)]. given #6572 (H,wt=12): 7213 x * K(R(x,y,x),z) = T(x,z). [para(7208(a,2),4887(a,2,2)),flip(a)]. given #6573 (H,wt=12): 7214 K(x,R(y,z,y)) = 1 / K(y,x). [para(7208(a,1),5102(a,1,2)),flip(a)]. given #6574 (H,wt=10): 7235 K(x,R(y,z,y)) = K(x,y). [hyper(236,a,5102,a(flip),b,7214,a)]. given #6575 (H,wt=10): 7237 R(K(x,y),z,y) = K(x,y). [hyper(236,a,6815,a(flip),b,7235,a(flip)),flip(a)]. given #6576 (H,wt=12): 7219 K(x,L(y,z,K(x,u))) = K(x,y). [hyper(236,a,6584,a(flip),b,7201,a(flip)),flip(a)]. given #6577 (H,wt=13): 7210 K(T(x,x * y),z) = K(T(x,y),z). [para(4277(a,1),7208(a,1,1)),flip(a)]. given #6578 (H,wt=13): 7211 K(T(x,x \ y),z) = K(T(x,y),z). [para(4297(a,1),7208(a,1,1))]. given #6579 (H,wt=11): 7244 K(T(x,y),z) = T(K(x,z),y). [hyper(236,a,6288,a(flip),b,7211,a(flip))]. given #6580 (H,wt=11): 7248 K(T(x,K(y,z)),y) = K(x,y). [hyper(236,a,2190,a(flip),b,7244,a)]. given #6581 (H,wt=13): 7223 x / T(K(y,z),x) = K(y,z) \ x. [para(7201(a,1),4364(a,1,1)),flip(a)]. given #6582 (H,wt=13): 7226 T(x,R(y,z,x)) != u | T(x,y) = u. [para(7209(a,2),4890(a,1))]. given #6583 (H,wt=13): 7236 K(x,R(y,z,y)) != u | K(x,y) = u. [para(7214(a,2),5106(a,1))]. given #6584 (H,wt=13): 7238 K(x,T(y,y \ z)) = K(x,T(y,z)). [para(4297(a,1),7235(a,1,2))]. given #6585 (H,wt=11): 7256 K(x,T(y,z)) = T(K(x,y),z). [hyper(236,a,6437,a(flip),b,7238,a(flip))]. given #6586 (H,wt=11): 7260 K(T(x,y),z) = K(x,T(z,y)). [hyper(236,a,7244,a,b,7256,a),flip(a)]. given #6587 (H,wt=11): 7275 K(x,T(y,1 / x)) = K(x,y). [hyper(236,a,1394,a(flip),b,7256,a)]. given #6588 (H,wt=11): 7277 K(x,T(y,K(x,z))) = K(x,y). [hyper(5853,a,7256,a(flip)),flip(a)]. given #6589 (H,wt=12): 7273 K(x,T(y,R(x,z,u))) = K(x,y). [hyper(236,a,3275,a(flip),b,7256,a)]. given #6590 (H,wt=12): 7274 K(x,T(y,L(x,z,u))) = K(x,y). [hyper(236,a,3273,a(flip),b,7256,a)]. given #6591 (H,wt=13): 7245 K((x \ y) \ y,z) = K(T(x,y),z). [para(120(a,1),7211(a,1,1))]. given #6592 (H,wt=13): 7246 K(T(x / (x / y),x),z) = K(y,z). [para(270(a,1),7211(a,1,1)),flip(a)]. given #6593 (H,wt=13): 7247 K(T(x / y,x),z) = K(y \ x,z). [hyper(236,a,6271,a(flip),b,7244,a)]. given #6594 (H,wt=13): 7249 x * K(T(y,x),z) = K(y,z) * x. [para(7244(a,2),119(a,1,2))]. given #6595 (H,wt=13): 7257 K(x,(y \ z) \ z) = K(x,T(y,z)). [para(120(a,1),7238(a,1,2))]. given #6596 (H,wt=13): 7259 T(K(x * y,x),y) = K(x * y,x). [hyper(6443,a,7256,a),flip(a)]. given #6597 (H,wt=13): 7264 K((x \ y) \ y,z) = K(x,T(z,y)). [hyper(236,a,6268,a,b,7256,a),flip(a)]. given #6598 (H,wt=13): 7270 K(x,T(y,z * y)) = K(x,T(y,z)). [hyper(236,a,6439,a(flip),b,7256,a)]. given #6599 (H,wt=13): 7271 K(x,T(y / z,y)) = K(x,z \ y). [hyper(236,a,6420,a(flip),b,7256,a)]. given #6600 (H,wt=13): 7272 K(x / y,T(z,x)) = K(y \ x,z). [hyper(236,a,6271,a(flip),b,7256,a)]. given #6601 (H,wt=13): 7281 x * K(y,T(z,x)) = K(y,z) * x. [para(7256(a,2),119(a,1,2))]. given #6602 (H,wt=13): 7288 T(x,K(y,T(z,x))) = T(x,K(y,z)). [para(7256(a,2),4104(a,1,2))]. given #6603 (H,wt=13): 7289 x * T(K(x,y),z) = T(x,T(y,z)). [para(7256(a,1),4887(a,2,2)),flip(a)]. given #6604 (H,wt=13): 7302 x / K(y,T(z,x)) = K(y,z) \ x. [para(7256(a,2),7223(a,1,2))]. given #6605 (H,wt=13): 7303 K(x,T(y,z)) \ 1 = K(y,T(x,z)). [hyper(5284,a,7260,a)]. given #6606 (H,wt=13): 7307 K(x,T(y,x * z)) = K(T(x,z),y). [hyper(236,a,7210,a(flip),b,7260,a(flip))]. given #6607 (H,wt=13): 7308 K(x,T(y,x \ z)) = T(K(x,y),z). [hyper(236,a,6288,a(flip),b,7260,a(flip))]. given #6608 (H,wt=13): 7312 K(x / y,T(z,y)) = K(y \ x,z). [para(121(a,1),7260(a,1,1)),flip(a)]. given #6609 (H,wt=13): 7313 K(T(x,y),z / y) = K(x,y \ z). [para(121(a,1),7260(a,2,2))]. given #6610 (H,wt=13): 7314 K((x * y) / x,T(z,x)) = K(y,z). [para(162(a,1),7260(a,1,1)),flip(a)]. given #6611 (H,wt=12): 7379 L(x,T(T(y,z),u),K(w,y)) = x. [para(7314(a,1),6839(a,1,3))]. given #6612 (H,wt=13): 7317 K(x,T(y,T(T(x,z),u))) = K(x,y). [para(411(a,1),7260(a,1,1)),flip(a)]. given #6613 (H,wt=13): 7351 K(x,y) * (z * K(y,T(x,z))) = z. [hyper(5285,a,7281,a(flip))]. given #6614 (H,wt=13): 7366 K(x,T(y,x * z)) = K(x,T(y,z)). [hyper(236,a,7260,a(flip),b,7307,a)]. given #6615 (H,wt=13): 7367 K(x,T(y,x \ z)) = K(x,T(y,z)). [hyper(236,a,7256,a,b,7308,a)]. given #6616 (H,wt=13): 7368 T(K(x,y),x * z) = K(x,T(y,z)). [para(13(a,1),7308(a,1,2,2)),flip(a)]. given #6617 (H,wt=13): 7378 L(x,T(y,z),K(u,y)) != w | w = x. [para(7314(a,1),5595(a,1,3))]. given #6618 (H,wt=14): 7194 L(L(x,y,z),u,K(x,w)) = L(x,y,z). [para(7192(a,1),45(a,1,1)),flip(a)]. given #6619 (H,wt=11): 7387 L(x,y,T(x,z)) = L(x,y,x). [hyper(6750,a,7194,a)]. given #6620 (H,wt=14): 7291 T(K(x,y),y \ 1) != z | K(x,y) = z. [para(7256(a,1),5444(a,1))]. given #6621 (H,wt=14): 7319 K(x,T(y,R(T(x,z),u,w))) = K(x,y). [para(811(a,1),7260(a,1,1)),flip(a)]. given #6622 (H,wt=14): 7365 K(x,T(y,z)) != u | K(T(x,z),y) = u. [para(7303(a,1),5116(a,1))]. given #6623 (H,wt=14): 7388 L(x,y,T(z,x)) != u | L(x,y,z) = u. [para(7194(a,1),6987(a,1))]. given #6624 (H,wt=13): 7394 K(x,y) != z | L(K(x,y),x,u) = z. [para(6235(a,1),7388(a,1))]. given #6625 (H,wt=15): 7206 K(x,(y * x) / z) = K(x,y / (z / x)). [hyper(236,a,6812,a(flip),b,7191,a(flip)),flip(a)]. given #6626 (H,wt=15): 7207 K(x,(y / x) / z) = K(x,y / (z * x)). [hyper(236,a,6811,a(flip),b,7191,a(flip))]. given #6627 (H,wt=15): 7215 x * K(R(x,y,x),z) != u | T(x,z) = u. [para(7208(a,2),4890(a,1,2))]. given #6628 (H,wt=15): 7222 T(K(x,y) * z,K(x,y)) = z * K(x,y). [para(7201(a,1),4245(a,1,1,1))]. given #6629 (H,wt=15): 7229 T(x,(y * x) / z) = T(x,y / (z / x)). [para(485(a,1),7225(a,1,2))]. given #6630 (H,wt=15): 7239 K(x,y) * T(R(y,z,y),x) = R(y,z,y). [para(7235(a,1),4845(a,1,1))]. given #6631 (H,wt=15): 7242 (K(x,y) * z) * y = K(x,y) * (z * y). [para(7237(a,1),113(a,1,1)),flip(a)]. given #6632 (H,wt=8): 7400 L(x,y,K(z,x)) = x. [hyper(7030,a,7242,a)]. given #6633 (H,wt=12): 7402 L(T(x,y),z,K(u,x)) = T(x,y). [para(7400(a,1),40(a,2,1))]. given #6634 (H,wt=11): 7406 T(x,K(y,x) * z) = T(x,z). [hyper(6069,a,7402,a)]. given #6635 (H,wt=11): 7409 T(x,K(x,y) * z) = T(x,z). [para(5268(a,1),7406(a,1,2)),flip(a)]. given #6636 (H,wt=12): 7403 L(K(x,y),z,K(u,x)) = K(x,y). [para(7400(a,1),6577(a,1,1)),flip(a)]. given #6637 (H,wt=12): 7404 L(K(x,y),z,K(u,y)) = K(x,y). [para(7400(a,1),6582(a,1,2)),flip(a)]. given #6638 (H,wt=12): 7420 K(x,L(y,z,K(u,x))) = K(x,y). [hyper(236,a,6584,a(flip),b,7403,a(flip)),flip(a)]. given #6639 (H,wt=12): 7422 K(L(x,y,K(z,u)),u) = K(x,u). [hyper(236,a,6579,a(flip),b,7404,a(flip)),flip(a)]. given #6640 (H,wt=13): 7410 T(x,T(y,x) \ z) = T(x,y \ z). [para(5178(a,1),7406(a,1,2)),flip(a)]. given #6641 (H,wt=13): 7415 T(x,K(x,y) * z) = x * K(x,z). [hyper(236,a,4887,a(flip),b,7409,a)]. given #6642 (H,wt=11): 7426 K(x,K(x,y) * z) = K(x,z). [hyper(4954,a,7415,a)]. given #6643 (H,wt=11): 7429 K(x,K(x,y) \ z) = K(x,z). [para(14(a,1),7426(a,1,2)),flip(a)]. given #6644 (H,wt=11): 7431 K(x,K(y,x) \ z) = K(x,z). [para(5260(a,2),7426(a,1,2))]. given #6645 (H,wt=11): 7432 K(x,K(y,x) * z) = K(x,z). [para(5268(a,1),7426(a,1,2)),flip(a)]. given #6646 (H,wt=13): 7417 K(x,K(x,y) * z) = x \ T(x,z). [hyper(72,a,7409,a(flip),b,4887,a(flip)),flip(a)]. given #6647 (H,wt=13): 7430 K(x,T(x,y) * z) = K(x,x * z). [para(4906(a,1),7426(a,1,2))]. given #6648 (H,wt=13): 7433 K(x,T(x,y) \ z) = K(x,x \ z). [para(5178(a,1),7426(a,1,2)),flip(a)]. given #6649 (H,wt=13): 7434 K(x,y \ T(z,x)) = K(x,y \ z). [para(5540(a,1),7426(a,1,2)),flip(a)]. given #6650 (H,wt=14): 7416 T(x,K(x,y) * L(K(z,x),u,w)) = x. [hyper(236,a,3185,a(flip),b,7409,a)]. given #6651 (H,wt=14): 7427 T(x,K(x,y) * z) != u | T(x,z) = u. [para(7415(a,2),4890(a,1))]. given #6652 (H,wt=14): 7435 K(x,R(K(y,x),z,u) * w) = K(x,w). [para(5901(a,1),7432(a,1,2,1))]. given #6653 (H,wt=14): 7436 K(x,K(x,y) * z) != u | K(x,z) = u. [para(7417(a,2),4956(a,1))]. given #6654 (H,wt=14): 7440 K(x,K(y,R(x,z,u)) * w) = K(x,w). [para(6824(a,1),7435(a,1,2,1))]. given #6655 (H,wt=14): 7442 K(x,K(R(x,y,z),u) * w) = K(x,w). [para(5268(a,1),7440(a,1,2)),flip(a)]. given #6656 (H,wt=15): 7252 (K(x,y) \ z) * K(x,y) = T(z,K(x,y)). [para(7223(a,1),4113(a,1,1))]. given #6657 (H,wt=15): 7258 K(x,T(y,z \ 1)) = K(x,T(y,z \ y)). [para(4070(a,1),7238(a,1,2))]. given #6658 (H,wt=15): 7265 K(x,K(y,z)) * K(z,y) = K(z,T(y,x)). [hyper(236,a,5841,a,b,7256,a),flip(a)]. given #6659 (H,wt=15): 7266 K(x,y) * K(z,K(y,x)) = K(x,T(y,z)). [hyper(236,a,5839,a,b,7256,a),flip(a)]. given #6660 (H,wt=15): 7267 K(1 / T(x,y),z) = K(1 / x,T(z,y)). [hyper(236,a,5678,a,b,7256,a),flip(a)]. given #6661 (H,wt=15): 7268 K(T(x,y) \ 1,z) = K(x \ 1,T(z,y)). [hyper(236,a,5675,a,b,7256,a),flip(a)]. given #6662 (H,wt=15): 7269 K(x,T(y,z) \ 1) = K(x,T(y \ 1,z)). [hyper(236,a,5644,a,b,7256,a),flip(a)]. given #6663 (H,wt=15): 7276 x * K(y,T(z,u)) = x * T(K(y,z),u). [hyper(21,a,7256,a)]. given #6664 (H,wt=15): 7278 K(x,T(T(y,z),u)) = T(K(x,T(y,u)),z). [para(38(a,1),7256(a,1,2))]. given #6665 (H,wt=15): 7305 x * K(T(y,z),u) = x * K(y,T(u,z)). [hyper(21,a,7260,a)]. given #6666 (H,wt=15): 7309 K(T(x,y),T(z,u)) = K(x,T(T(z,y),u)). [para(38(a,1),7260(a,2,2))]. given #6667 (H,wt=15): 7315 K((x \ y) \ y,z) = K(x,T(z,x \ y)). [para(120(a,1),7260(a,1,1))]. given #6668 (H,wt=15): 7316 K(L(x,y,z),T(u,x)) = K(L(x,y,z),u). [para(132(a,1),7260(a,1,1)),flip(a)]. given #6669 (H,wt=15): 7320 T(x,y) * K(x,T(z,y)) = T(T(x,y),z). [para(7260(a,1),4887(a,2,2)),flip(a)]. given #6670 (H,wt=15): 7321 K(x,T(y,z)) * T(x,z) = T(T(x,z),y). [para(7260(a,1),4897(a,2,1)),flip(a)]. given #6671 (H,wt=15): 7323 K(x,T(y,z)) \ u = K(y,T(x,z)) * u. [para(7260(a,1),5260(a,1,1))]. given #6672 (H,wt=15): 7328 K(x,T(y,z)) * T(x,z) = T(T(x,y),z). [para(7260(a,1),4966(a,1,1))]. given #6673 (H,wt=15): 7336 K(x / y,z) * y = y * K(y \ x,z). [para(121(a,1),7249(a,1,2,1)),flip(a)]. given #6674 (H,wt=15): 7337 K((x * y) / x,z) * x = x * K(y,z). [para(162(a,1),7249(a,1,2,1)),flip(a)]. given #6675 (H,wt=11): 7458 T(x,y * K(z,x)) = T(x,y). [para(7337(a,1),7406(a,1,2))]. given #6676 (H,wt=11): 7459 K(x,y * K(z,x)) = K(x,y). [para(7337(a,1),7432(a,1,2))]. given #6677 (H,wt=11): 7463 K(x,y / K(z,x)) = K(x,y). [para(16(a,1),7459(a,1,2)),flip(a)]. given #6678 (H,wt=13): 7464 K(x * K(y,z),z) = 1 / K(z,x). [para(7459(a,1),5102(a,1,2)),flip(a)]. given #6679 (H,wt=11): 7470 K(x * K(y,z),z) = K(x,z). [hyper(236,a,5102,a(flip),b,7464,a)]. given #6680 (H,wt=11): 7479 K(K(x,y) * z,y) = K(z,y). [para(7249(a,1),7470(a,1,1))]. given #6681 (H,wt=11): 7484 K(K(x,y) \ z,x) = K(z,x). [para(5260(a,2),7479(a,1,1))]. given #6682 (H,wt=11): 7485 K(K(x,y) * z,x) = K(z,x). [para(5268(a,1),7479(a,1,1)),flip(a)]. given #6683 (H,wt=13): 7466 K(x,y / T(z,x)) = K(x,y / z). [para(6197(a,1),7459(a,1,2)),flip(a)]. given #6684 (H,wt=13): 7472 K(x * T(y,z),z) = K(x * y,z). [para(1251(a,1),7470(a,1,1))]. given #6685 (H,wt=13): 7473 K(x \ T(y,z),z) = K(x \ y,z). [para(1249(a,1),7470(a,1,1))]. given #6686 (H,wt=13): 7477 K(T(x,y) * z,y) = K(x * z,y). [para(5689(a,1),7470(a,1,1))]. given #6687 (H,wt=13): 7478 K(x * K(y,T(z,u)),z) = K(x,z). [para(7260(a,1),7470(a,1,1,2))]. given #6688 (H,wt=13): 7483 K(T(x,y) * z,x) = K(x * z,x). [para(4860(a,1),7479(a,1,1)),flip(a)]. given #6689 (H,wt=13): 7486 K(T(x,y) \ z,x) = K(x \ z,x). [para(5204(a,1),7479(a,1,1))]. given #6690 (H,wt=14): 7460 K(x,y * K(z,R(x,u,w))) = K(x,y). [para(7337(a,1),7440(a,1,2))]. given #6691 (H,wt=14): 7465 K(x,y * L(K(z,x),u,w)) = K(x,y). [para(5909(a,1),7459(a,1,2,2))]. given #6692 (H,wt=14): 7471 K(x * K(y,z),z) != u | K(x,z) = u. [para(7464(a,2),5106(a,1))]. given #6693 (H,wt=14): 7475 K(x * L(K(y,z),u,w),z) = K(x,z). [para(5909(a,1),7470(a,1,1,2))]. given #6694 (H,wt=14): 7490 K(R(K(x,y),z,u) * w,x) = K(w,x). [para(6797(a,1),7485(a,1,1,1))]. given #6695 (H,wt=14): 7504 K(K(x,y) * z,y) != u | K(z,y) = u. [para(7249(a,1),7471(a,1,1))]. given #6696 (H,wt=14): 7505 K(x * K(y,L(z,u,w)),z) = K(x,z). [para(6584(a,1),7475(a,1,1,2))]. given #6697 (H,wt=14): 7507 K(K(R(x,y,z),u) * w,x) = K(w,x). [para(6678(a,1),7490(a,1,1,1))]. given #6698 (H,wt=14): 7510 K(K(x,y) \ z,x) != u | K(z,x) = u. [para(5260(a,2),7504(a,1,1))]. given #6699 (H,wt=15): 7340 L(x,y / z,K(z \ y,u)) != w | w = x. [para(7272(a,1),3980(a,1,3))]. given #6700 (H,wt=15): 7348 x \ (y * K(z,T(x,y))) = T(x,z) \ y. [hyper(72,a,7281,a,b,4859,a)]. given #6701 (H,wt=15): 7349 K(x \ y,T(z,y \ x)) = K(x \ y,z). [hyper(17,a,5865,a(flip),b,7281,a)]. given #6702 (H,wt=15): 7355 K(x,y / z) * z = z * K(x,z \ y). [para(121(a,1),7281(a,1,2,2)),flip(a)]. given #6703 (H,wt=15): 7359 (K(x,y) * z) * x = z * T(x,T(y,z)). [para(7281(a,1),6188(a,1,1))]. given #6704 (H,wt=15): 7362 T(x,K(y,z / x)) = T(x,K(y,x \ z)). [para(121(a,1),7288(a,1,2,2)),flip(a)]. given #6705 (H,wt=15): 7363 T(x,T(y,z) \ 1) = T(x,T(y \ 1,z)). [hyper(5650,a,7289,a)]. given #6706 (H,wt=15): 7364 T(T(x,y),K(y,z)) = x * T(K(x,y),z). [hyper(236,a,7135,a,b,7289,a),flip(a)]. given #6707 (H,wt=15): 7369 K(x / y,z \ y) = K(y \ x,y / z). [hyper(236,a,7271,a(flip),b,7312,a(flip)),flip(a)]. given #6708 (H,wt=15): 7370 K(x \ (y \ x),z) = K(y \ 1,T(z,x)). [hyper(236,a,5706,a(flip),b,7312,a(flip))]. given #6709 (H,wt=15): 7376 K(T(x,y),z \ 1) = K(x,y \ (z \ y)). [hyper(5808,a,7313,a)]. given #6710 (H,wt=15): 7381 T(x,T(y,T(T(x,z),u))) = K(x,y) * x. [para(7317(a,1),4897(a,2,1))]. given #6711 (H,wt=13): 7526 T(x,T(y,T(T(x,z),u))) = T(x,y). [hyper(236,a,4897,a,b,7381,a)]. given #6712 (H,wt=15): 7383 T(x,T(y,x \ z)) = x * K(x,T(y,z)). [para(7367(a,1),4887(a,2,2))]. given #6713 (H,wt=13): 7528 T(x,T(y,x \ z)) = T(x,T(y,z)). [hyper(236,a,4887,a,b,7383,a)]. given #6714 (H,wt=11): 7530 T(x,T(y,x \ y)) = T(x,y). [para(118(a,1),7528(a,2,2))]. given #6715 (H,wt=11): 7534 T(x,T(y,y / x)) = T(x,y). [para(3892(a,2),7530(a,1,2))]. given #6716 (H,wt=13): 7533 T(x,T(x * y,y)) = T(x,x * y). [para(13(a,1),7530(a,1,2,2))]. given #6717 (H,wt=15): 7390 L(T(x,y),z,T(x,u)) = T(L(x,z,x),y). [para(7387(a,1),40(a,2,1))]. given #6718 (H,wt=14): 7537 L(T(x,y),y,T(x,z)) = T(x,x * y). [hyper(236,a,596,a(flip),b,7390,a)]. given #6719 (H,wt=15): 7395 (K(x,y) * z) * K(y,x) = T(z,K(y,x)). [para(5268(a,1),7222(a,1,1)),flip(a)]. given #6720 (H,wt=15): 7396 T(x * K(y,z),K(z,y)) = K(y,z) * x. [para(7222(a,1),5845(a,1,1))]. given #6721 (H,wt=11): 7540 (x * K(y,z)) * K(z,y) = x. [hyper(5529,a,7396,a)]. given #6722 (H,wt=11): 7547 x / K(y,z) = x * K(z,y). [hyper(303,a,7540,a),flip(a)]. given #6723 (H,wt=11): 7549 (x * K(y,z)) \ x = K(z,y). [hyper(80,a,7540,a)]. given #6724 (H,wt=11): 7572 T(x,y * K(x,z)) = T(x,y). [para(7540(a,1),7458(a,1,2)),flip(a)]. given #6725 (H,wt=11): 7573 K(x,y * K(x,z)) = K(x,y). [para(7540(a,1),7459(a,1,2)),flip(a)]. given #6726 (H,wt=11): 7574 K(x * K(y,z),y) = K(x,y). [para(7540(a,1),7470(a,1,1)),flip(a)]. given #6727 (H,wt=11): 7599 K(x,K(y,x * K(y,z))) = 1. [para(7573(a,2),3142(a,1,2))]. given #6728 (H,wt=13): 7546 (x \ y) * K(y,x) = x \ T(y,x). [hyper(6255,a,7540,a),flip(a)]. given #6729 (H,wt=13): 7550 (K(x,y) * z) * K(T(y,z),x) = z. [hyper(18,a,7281,a,b,7540,a)]. given #6730 (H,wt=13): 7551 (K(x,y) * z) * K(y,T(x,z)) = z. [hyper(18,a,7249,a,b,7540,a)]. given #6731 (H,wt=13): 7554 (x * T(y,z)) * K(z,y) = x * y. [hyper(18,a,6201,a,b,7540,a)]. given #6732 (H,wt=13): 7555 (x / y) * K(z,y) = x / T(y,z). [hyper(18,a,6197,a,b,7540,a)]. given #6733 (H,wt=13): 7557 (x * K(y,z)) / z = x / T(z,y). [hyper(74,a,7540,a(flip),b,6200,a),flip(a)]. given #6734 (H,wt=13): 7568 (x * K(y,z)) * T(z,y) = x * z. [para(7540(a,1),6188(a,1,1)),flip(a)]. given #6735 (H,wt=13): 7576 (x * T(y,z)) \ (x * y) = K(z,y). [hyper(72,a,6239,a(flip),b,7547,a(flip))]. given #6736 (H,wt=13): 7587 (x / y) \ (x / T(y,z)) = K(z,y). [para(6197(a,1),7549(a,1,1))]. given #6737 (H,wt=13): 7591 (K(x,y) * z) \ z = K(y,T(x,z)). [para(7249(a,1),7549(a,1,1))]. given #6738 (H,wt=13): 7597 T(x,y * T(x,z)) = T(x,y * x). [para(6201(a,1),7572(a,1,2))]. given #6739 (H,wt=13): 7600 K(x,y / T(x,z)) = K(x,y / x). [para(6197(a,1),7573(a,1,2)),flip(a)]. given #6740 (H,wt=13): 7606 K(x * T(y,z),y) = K(x * y,y). [para(6201(a,1),7574(a,1,1))]. given #6741 (H,wt=13): 7612 (x / T(y,z)) * y = x * K(z,y). [hyper(303,a,7554,a),flip(a)]. given #6742 (H,wt=13): 7622 (x / y) * K(x,y) = T(x,y) / y. [hyper(236,a,4115,a,b,7555,a)]. given #6743 (H,wt=13): 7626 (x * y) / T(y,z) = x * K(z,y). [para(15(a,1),7555(a,1,1)),flip(a)]. given #6744 (H,wt=13): 7636 (x * K(y,z)) \ (x * z) = T(z,y). [hyper(80,a,7568,a)]. given #6745 (H,wt=13): 7648 T(x,(x \ y) * T(x,z)) = T(x,y). [hyper(236,a,4256,a(flip),b,7597,a)]. given #6746 (H,wt=13): 7649 K(x,y / T(x,z)) = K(x,x \ y). [hyper(236,a,4994,a(flip),b,7600,a)]. given #6747 (H,wt=13): 7650 K(x * T(y,z),y) = K(y * x,y). [hyper(236,a,5559,a(flip),b,7606,a)]. given #6748 (H,wt=13): 7661 T(x,x * (y / T(x,z))) = T(x,y). [para(66(a,1),7648(a,1,2)),flip(a)]. given #6749 (H,wt=13): 7665 K(x * (y / T(x,z)),x) = K(y,x). [para(16(a,1),7650(a,1,1)),flip(a)]. given #6750 (H,wt=14): 7559 x * K(y,z) != u | u * K(z,y) = x. [para(7540(a,1),20(a,1)),flip(a)]. given #6751 (H,wt=14): 7560 (x * K(y,z)) \ x != u | K(z,y) = u. [para(7540(a,1),283(a,1,2)),flip(b)]. given #6752 (H,wt=14): 7561 x / K(y,z) != u | x * K(z,y) = u. [para(7540(a,1),296(a,1,1)),flip(b)]. given #6753 (H,wt=14): 7577 (x * K(y,z)) * K(z,y) != u | u = x. [para(7547(a,1),221(a,1,1))]. given #6754 (H,wt=14): 7595 T(x,y * L(K(x,z),u,w)) = T(x,y). [para(5893(a,1),7572(a,1,2,2))]. given #6755 (H,wt=14): 7609 K(K(L(x,y,z),u) * w,x) = K(w,x). [para(7550(a,1),7505(a,1,1)),flip(a)]. given #6756 (H,wt=14): 7675 T(x,y * K(L(x,z,u),w)) = T(x,y). [para(6579(a,1),7595(a,1,2,2))]. given #6757 (H,wt=15): 7399 K(x,y) * R(T(y,x),z,y) = R(y,z,y). [para(42(a,2),7239(a,1,2))]. given #6758 (H,wt=15): 7414 T(T(x,y),K(z,x) * u) = T(T(x,y),u). [para(7314(a,1),7406(a,1,2,1))]. given #6759 (H,wt=15): 7425 K(x,T(y,T(x,y) \ z)) = K(x,T(y,z)). [para(7410(a,2),7367(a,1,2))]. given #6760 (H,wt=15): 7443 K(x,(K(x,y) * z) * u) = K(x,z * u). [para(6679(a,1),7442(a,1,2))]. given #6761 (H,wt=15): 7446 K(x,T(y \ 1,z)) = K(x,(y * z) \ z). [hyper(6476,a,7269,a),flip(a)]. given #6762 (H,wt=15): 7447 K(x,T(T(y,z),u)) = T(T(K(x,y),u),z). [para(7256(a,1),7278(a,2,1))]. given #6763 (H,wt=15): 7448 K(T(T(x,y),z),u) = K(x,T(T(u,y),z)). [hyper(7365,a,7309,a)]. given #6764 (H,wt=15): 7449 K(x,y) * T(x,T(z,y)) = T(T(x,y),z). [hyper(5621,a,7320,a)]. given #6765 (H,wt=15): 7451 T(x,T(y,z)) \ T(T(x,z),y) = K(x,z). [hyper(72,a,7321,a(flip),b,5201,a(flip))]. given #6766 (H,wt=15): 7456 K(x,y) * T(T(y,z),x) = T(y,T(z,x)). [para(7328(a,1),5566(a,1,2))]. given #6767 (H,wt=15): 7462 T(x,y / (z / x)) = T(x,y / (x \ z)). [para(6360(a,1),7458(a,1,2))]. given #6768 (H,wt=15): 7467 K(x,y / (z / x)) = K(x,y / (x \ z)). [para(6360(a,1),7459(a,1,2))]. given #6769 (H,wt=15): 7468 K(x,y * (z / x)) = K(x,y * (x \ z)). [para(6448(a,1),7459(a,1,2)),flip(a)]. given #6770 (H,wt=15): 7481 K(x * K(y,z),T(z,u)) = K(x,T(z,u)). [para(7314(a,1),7470(a,1,1,2))]. given #6771 (H,wt=15): 7488 K(K(x,y) * z,T(y,u)) = K(z,T(y,u)). [para(7314(a,1),7479(a,1,1,1))]. given #6772 (H,wt=15): 7493 K(x \ (y / z),z) = K(x \ (z \ y),z). [para(121(a,1),7473(a,1,1,2)),flip(a)]. given #6773 (H,wt=15): 7496 K(T(x,T(y,z)) * u,y) = K(x * u,y). [para(5689(a,1),7478(a,1,1))]. given #6774 (H,wt=15): 7502 K(x,y * (z * K(u,x))) = K(x,y * z). [para(103(a,1),7465(a,1,2))]. given #6775 (H,wt=15): 7506 K((K(x,y) * z) * u,x) = K(z * u,x). [para(113(a,1),7490(a,1,1))]. given #6776 (H,wt=15): 7516 T(x / y,z) \ x = y * K(z,y \ x). [hyper(5614,a,7355,a)]. given #6777 (H,wt=15): 7518 x / (y * K(z,y \ x)) = T(x / y,z). [para(7355(a,1),5357(a,1,2))]. given #6778 (H,wt=15): 7520 K(x,y) * (z * x) = z * T(x,T(y,z)). [hyper(236,a,7189,a(flip),b,7359,a(flip)),flip(a)]. given #6779 (H,wt=15): 7521 T(x,T(y \ 1,z)) = T(x,(y * z) \ z). [hyper(6457,a,7363,a),flip(a)]. given #6780 (H,wt=15): 7524 K(T(x,y) \ 1,z) = K(y \ (x \ y),z). [hyper(236,a,7268,a,b,7370,a),flip(a)]. given #6781 (H,wt=15): 7525 K(x,T(y \ 1,z)) = K(x,z \ (y \ z)). [hyper(236,a,7260,a(flip),b,7376,a(flip)),flip(a)]. given #6782 (H,wt=15): 7536 L(T(x,y),z,T(x,u)) = L(T(x,y),z,x). [hyper(236,a,40,a,b,7390,a)]. given #6783 (H,wt=15): 7538 (K(x,y) * K(y,z)) * K(y,x) = K(y,z). [hyper(5853,a,7395,a(flip)),flip(a)]. given #6784 (H,wt=15): 7545 (x * y) * K(z,y) = x * ((z * y) / z). [hyper(6449,a,7540,a),flip(a)]. given #6785 (H,wt=15): 7556 (x / ((y * z) / y)) * K(y,z) = x / z. [hyper(18,a,6359,a(flip),b,7540,a)]. given #6786 (H,wt=15): 7558 x / K(y,T(z,u)) = x * K(z,T(y,u)). [hyper(74,a,7540,a(flip),b,7305,a(flip))]. given #6787 (H,wt=15): 7569 (x * K(y,z)) * z = x * (z * K(y,z)). [para(7540(a,1),6265(a,1,1)),flip(a)]. given #6788 (H,wt=8): 7706 R(x,K(y,z),z) = x. [hyper(3158,a,7569,a)]. given #6789 (H,wt=10): 7711 R(x,K(y,z),T(z,u)) = x. [para(7314(a,1),7706(a,1,2))]. given #6790 (H,wt=15): 7586 ((x * K(y,z)) \ x) \ u = K(y,z) * u. [para(7549(a,2),5260(a,1,1))]. given #6791 (H,wt=15): 7588 (x * T(x \ y,z)) \ y = K(z,x \ y). [para(6219(a,2),7549(a,1,1))]. given #6792 (H,wt=15): 7598 T(x,y * (z * K(x,u))) = T(x,y * z). [para(6586(a,1),7572(a,1,2))]. given #6793 (H,wt=15): 7602 K(x,y * (z * K(x,u))) = K(x,y * z). [para(6586(a,1),7573(a,1,2))]. given #6794 (H,wt=15): 7607 K(x * (y * K(z,u)),z) = K(x * y,z). [para(6586(a,1),7574(a,1,1))]. given #6795 (H,wt=15): 7608 x \ T(x * y,x) = y * K(x * y,x). [para(13(a,1),7546(a,1,1)),flip(a)]. given #6796 (H,wt=13): 7720 K((x \ 1) \ y,x) = K(x * y,x). [hyper(6471,a,7608,a)]. given #6797 (H,wt=13): 7725 K((1 / x) \ y,x) = K(x * y,x). [hyper(5633,a,7720,a)]. given #6798 (H,wt=15): 7611 x \ (y * K(z,x)) = T(y / T(x,z),x). [hyper(875,a,7554,a),flip(a)]. given #6799 (H,wt=15): 7618 (x * T(y,z)) * T(z,y) = (x * y) * z. [para(7554(a,1),6188(a,1,1)),flip(a)]. given #6800 (H,wt=15): 7621 x / T(y \ x,z) = y * K(z,y \ x). [hyper(290,a,7555,a),flip(a)]. given #6801 (H,wt=15): 7638 (x * K(y,x \ z)) \ z = T(x \ z,y). [hyper(72,a,14,a(flip),b,7568,a)]. given #6802 (H,wt=15): 7644 (x * K(y,z)) * z = (x * z) * K(y,z). [para(7568(a,1),7554(a,1,1)),flip(a)]. given #6803 (H,wt=15): 7664 K(T(x,y) * z,x) = K(z * T(x,u),x). [hyper(236,a,7483,a,b,7650,a),flip(a)]. given #6804 (H,wt=15): 7678 (K(x,y) * z) \ (y * z) = T(T(y,x),z). [hyper(5383,a,7414,a)]. given #6805 (H,wt=15): 7681 T(x,(y * x) / z) = T(x,y / (x \ z)). [hyper(236,a,7229,a,b,7462,a(flip)),flip(a)]. given #6806 (H,wt=15): 7682 K(x,(y * x) / z) = K(x,y / (x \ z)). [hyper(236,a,7206,a,b,7467,a(flip)),flip(a)]. given #6807 (H,wt=15): 7690 K(x,y * (K(x,z) * u)) = K(x,y * u). [para(7550(a,1),7502(a,1,2,2)),flip(a)]. given #6808 (H,wt=15): 7695 K((x * y) \ y,z) = K(y \ (x \ y),z). [hyper(6496,a,7524,a)]. given #6809 (H,wt=15): 7696 K(x,(y * z) \ z) = K(x,z \ (y \ z)). [hyper(236,a,7446,a(flip),b,7525,a(flip)),flip(a)]. given #6810 (H,wt=15): 7697 K(x,T((y / z) \ 1,y)) = K(x,y \ z). [para(65(a,1),7525(a,2,2,2))]. given #6811 (H,wt=15): 7700 (x / y) * ((z * y) / z) = x * K(z,y). [hyper(303,a,7545,a),flip(a)]. given #6812 (H,wt=15): 7701 (x * y) * K(z,y) = x * (y * K(z,y)). [hyper(236,a,5028,a(flip),b,7545,a)]. given #6813 (H,wt=8): 7744 a(x,y,K(z,y)) = 1. [hyper(71,a,7701,a(flip),b,91,a),flip(a)]. given #6814 (H,wt=10): 7743 L(K(x,y),y,z) = K(x,y). [hyper(436,a,7701,a)]. given #6815 (H,wt=10): 7747 a(x,y,K(z,T(y,u))) = 1. [para(7260(a,1),7744(a,1,3))]. given #6816 (H,wt=10): 7748 a(x,T(y,z),K(u,y)) = 1. [para(7314(a,1),7744(a,1,3))]. given #6817 (H,wt=12): 7758 L(K(x,y),T(y,z),u) = K(x,y). [hyper(33,a,7748,a)]. given #6818 (H,wt=13): 7749 L(K(x,y),y,z) = L(K(x,y),y,u). [hyper(236,a,7743,a,b,7743,a)]. given #6819 (H,wt=13): 7756 K(x,y) != z | L(K(x,y),y,u) = z. [para(7743(a,1),7388(a,1))]. given #6820 (H,wt=13): 7763 L(K(x,y),y,z) != u | K(x,y) = u. [para(7749(a,1),323(a,1)),flip(b)]. given #6821 (H,wt=14): 7753 K(L(x,y,z),y * x) = K(x,y * x). [hyper(236,a,6579,a(flip),b,7743,a(flip)),flip(a)]. given #6822 (H,wt=14): 7757 L(K(x,T(y,z)),y,u) = K(x,T(y,z)). [hyper(33,a,7747,a)]. given #6823 (H,wt=14): 7767 K(L(x,y,z),y * x) = K(x,x * y). [hyper(236,a,6605,a(flip),b,7753,a)]. given #6824 (H,wt=15): 7707 (x * K(y,z)) \ (x * (z * K(y,z))) = z. [hyper(80,a,7569,a)]. given #6825 (H,wt=12): 7769 L(T(x,K(y,x)),K(y,x),z) = x. [hyper(718,a,7707,a)]. given #6826 (H,wt=8): 7771 L(x,K(y,x),z) = x. [para(3137(a,1),7769(a,1,1))]. given #6827 (H,wt=12): 7772 L(T(x,y),K(z,x),u) = T(x,y). [para(7771(a,1),40(a,2,1))]. given #6828 (H,wt=14): 7777 L(T(x,y),K(z,T(x,u)),w) = T(x,y). [para(7260(a,1),7772(a,1,2))]. given #6829 (H,wt=15): 7717 K(x * (K(y,z) * u),y) = K(x * u,y). [para(7281(a,1),7607(a,1,1,2))]. given #6830 (H,wt=15): 7718 K(x * (K(y,z) * u),z) = K(x * u,z). [para(7551(a,1),7607(a,1,1,2)),flip(a)]. given #6831 (H,wt=15): 7721 x * (y * K(x * y,x)) = T(x * y,x). [para(7608(a,1),14(a,1,2))]. given #6832 (H,wt=15): 7722 (x * K(y * x,y)) * y = T(x * y,y). [para(7608(a,1),4634(a,1,1))]. given #6833 (H,wt=15): 7732 x / T(y \ x,z) = T(x / y,z) \ x. [hyper(236,a,7516,a,b,7621,a)]. given #6834 (H,wt=15): 7734 (T(x / y,z) \ x) \ x = T(y \ x,z). [para(7516(a,2),7638(a,1,1))]. given #6835 (H,wt=15): 7735 x \ (y * K(z,x)) = (x \ y) * K(z,x). [hyper(18,a,7125,a,b,7644,a),flip(a)]. given #6836 (H,wt=15): 7740 (x / y) * (y * K(z,y)) = x * K(z,y). [hyper(5074,a,7700,a)]. given #6837 (H,wt=15): 7742 K((x \ y) \ z,z) = K(y \ (x * z),z). [hyper(6626,a,7701,a),flip(a)]. given #6838 (H,wt=15): 7781 x / T((y \ x) \ x,z) = T(y,z) \ x. [para(62(a,1),7732(a,2,1,1))]. given #6839 (H,wt=15): 7782 T(x / (x / y),z) \ x = x / T(y,z). [para(65(a,1),7732(a,1,2,1)),flip(a)]. given #6840 (H,wt=15): 7783 (T(x,y) \ z) \ z = T((x \ z) \ z,y). [para(62(a,1),7734(a,1,1,1,1))]. given #6841 (H,wt=15): 7785 T(x / T(y,z),y) = (y \ x) * K(z,y). [hyper(236,a,7611,a(flip),b,7735,a(flip)),flip(a)]. given #6842 (H,wt=15): 7789 x / T(T(y,y \ x),z) = T(y,z) \ x. [para(120(a,2),7781(a,1,2,1))]. given #6843 (H,wt=15): 7790 x / (x / T(y,z)) = T(x / (x / y),z). [para(7782(a,1),62(a,1,2))]. given #6844 (H,wt=16): 7220 L(T(K(x,y),z),u,K(x,w)) = T(K(x,y),z). [para(7201(a,1),40(a,2,1))]. given #6845 (H,wt=15): 7803 T(K(x,y),K(x,z) * u) = T(K(x,y),u). [hyper(236,a,6701,a(flip),b,7220,a(flip)),flip(a)]. given #6846 (H,wt=15): 7805 T(K(x,y),K(z,x) * u) = T(K(x,y),u). [para(5268(a,1),7803(a,1,2)),flip(a)]. given #6847 (H,wt=15): 7806 K(x,T(y,K(z,x) * u)) = T(K(x,y),u). [hyper(236,a,7256,a,b,7805,a(flip)),flip(a)]. given #6848 (H,wt=15): 7807 K(x,T(y,K(z,x) * u)) = K(x,T(y,u)). [hyper(236,a,7256,a,b,7806,a)]. given #6849 (H,wt=13): 7808 K(x,T(y,T(z,x))) = K(x,T(y,z)). [para(1596(a,2),7807(a,1,2,2))]. given #6850 (H,wt=15): 7809 K(x,T(y,z * K(u,x))) = K(x,T(y,z)). [para(7337(a,1),7807(a,1,2,2))]. given #6851 (H,wt=15): 7812 K(x,T(y,z * K(x,u))) = K(x,T(y,z)). [para(7540(a,1),7809(a,1,2,2)),flip(a)]. given #6852 (H,wt=16): 7250 x * K(T(y,x),z) != u * x | K(y,z) = u. [para(7244(a,2),172(a,1,2)),flip(b)]. given #6853 (H,wt=16): 7251 K(T(x / y,x),z) != u | K(y \ x,z) = u. [para(7244(a,2),6500(a,1))]. given #6854 (H,wt=14): 7813 K(x,y) != z | K((u / x) \ u,y) = z. [para(7246(a,1),7251(a,1))]. given #6855 (H,wt=16): 7255 K(x,T(y,y \ z)) != u | K(x,T(y,z)) = u. [para(4297(a,1),7236(a,1,2))]. given #6856 (H,wt=14): 7817 T(K(x,y),z) != u | K(x,T(y,z)) = u. [para(6437(a,1),7255(a,1))]. given #6857 (H,wt=14): 7823 K(T(x,y),z) != u | K(x,T(z,y)) = u. [para(7244(a,2),7817(a,1))]. given #6858 (H,wt=16): 7282 x * K(y,T(z,u)) != K(y,z) * u | x = u. [para(7256(a,2),171(a,1,2))]. given #6859 (H,wt=16): 7283 x * K(y,T(z,x)) != u | K(y,z) * x = u. [para(7256(a,2),220(a,1,2))]. given #6860 (H,wt=16): 7290 x * T(K(x,y),z) != u | T(x,T(y,z)) = u. [para(7256(a,1),4890(a,1,2))]. given #6861 (H,wt=16): 7297 K(x,T(y / z,y)) != u | K(x,z \ y) = u. [para(7256(a,2),6480(a,1))]. given #6862 (H,wt=16): 7298 K(x / y,T(z,x)) != u | K(y \ x,z) = u. [para(7256(a,2),6500(a,1))]. given #6863 (H,wt=16): 7304 K(T(x,L(y,z,u)),y \ 1) = K(x,y \ 1). [hyper(236,a,5528,a(flip),b,7260,a)]. given #6864 (H,wt=16): 7322 x * K(T(x,y),z) != u | T(x,T(z,y)) = u. [para(7260(a,2),4890(a,1,2))]. given #6865 (H,wt=16): 7352 K(x,y) * z != z * u | K(x,T(y,z)) = u. [para(7281(a,1),19(a,1))]. given #6866 (H,wt=16): 7393 T(K(x,y),(z * y) \ z) != u | K(x,y) = u. [para(6365(a,2),7291(a,1))]. given #6867 (H,wt=16): 7424 T(x,L(y,z,K(u,x))) = (K(y,x) / x) \ 1. [para(7422(a,1),4847(a,2,1,1))]. given #6868 (H,wt=12): 7831 T(x,L(y,z,K(u,x))) = T(x,y). [hyper(236,a,4847,a,b,7424,a)]. given #6869 (H,wt=16): 7445 K(x \ 1,T(y,L(x,z,u))) = K(x \ 1,y). [para(263(a,1),7268(a,1,1,1)),flip(a)]. given #6870 (H,wt=16): 7503 K(x \ T(y,z),z) != u | K(x \ y,z) = u. [para(1249(a,1),7471(a,1,1))]. given #6871 (H,wt=16): 7508 K(x * y,x) != z | K(T(x,u) * y,x) = z. [para(4860(a,1),7504(a,1,1))]. given #6872 (H,wt=16): 7511 K(T(x,y) \ z,x) != u | K(x \ z,x) = u. [para(5204(a,1),7504(a,1,1))]. given #6873 (H,wt=16): 7515 K(T(x,R(y,z,u)) * w,y) = K(x * w,y). [para(4860(a,1),7507(a,1,1)),flip(a)]. given #6874 (H,wt=16): 7529 T(x,T(y,x \ z)) != u | T(x,T(y,z)) = u. [para(7383(a,2),4890(a,1))]. given #6875 (H,wt=16): 7610 (K(x,y) * z) \ z != u | K(y,T(x,z)) = u. [para(7551(a,1),283(a,1,2)),flip(b)]. given #6876 (H,wt=16): 7627 (x / y) \ (x / T(y,z)) != u | K(z,y) = u. [para(7555(a,1),283(a,1,2)),flip(b)]. given #6877 (H,wt=16): 7639 (x * K(y,z)) \ (x * z) != u | T(z,y) = u. [para(7568(a,1),283(a,1,2)),flip(b)]. given #6878 (H,wt=16): 7645 (x / y) * K(z,y) != u | x / T(y,z) = u. [para(7587(a,1),216(a,1,2)),flip(b)]. given #6879 (H,wt=16): 7652 x * K(y,z) != u * z | x / T(z,y) = u. [para(7612(a,1),20(a,1))]. given #6880 (H,wt=16): 7702 (1 / x) * ((y * x) / y) != z | K(y,x) = z. [para(7545(a,1),152(a,1)),flip(b)]. given #6881 (H,wt=16): 7750 L(K(x,y),y,z) = K(x,((u * y) \ u) \ 1). [hyper(236,a,6421,a,b,7743,a)]. given #6882 (H,wt=16): 7754 L(L(K(x,y),z,u),y,w) = L(K(x,y),z,u). [para(7743(a,1),45(a,1,1)),flip(a)]. given #6883 (H,wt=16): 7814 K(x,(y \ z) \ z) != u | K(x,T(y,z)) = u. [para(120(a,1),7255(a,1,2))]. given #6884 (H,wt=16): 7820 K((x \ y) \ y,z) != u | K(x,T(z,y)) = u. [para(6268(a,2),7817(a,1))]. given #6885 (H,wt=16): 7821 K(x,y \ z) != u | K(x,T(z / y,z)) = u. [para(6420(a,1),7817(a,1))]. given #6886 (H,wt=16): 7824 K(x,T(y,x \ z)) != u | K(x,T(y,z)) = u. [para(7308(a,2),7817(a,1))]. given #6887 (H,wt=16): 7827 K(x,T(y,x * z)) != u | K(x,T(y,z)) = u. [para(7307(a,2),7823(a,1))]. given #6888 (H,wt=16): 7839 K(x,y) * (1 / y) != z | 1 / T(y,x) = z. [para(2230(a,2),7645(a,1))]. given #6889 (H,wt=16): 7840 K(x,((y * z) \ y) \ 1) != u | K(x,z) = u. [para(7750(a,1),323(a,1)),flip(b)]. given #6890 (H,wt=17): 7184 T(T(T(x,y \ x) / y,K(x,y)),x) = x / y. [para(7183(a,2),3897(a,1,1))]. given #6891 (H,wt=17): 7240 R(x * K(y,x),z,x) = R(x,z,x) * K(y,x). [para(7235(a,1),5658(a,1,2)),flip(a)]. given #6892 (H,wt=17): 7279 L(K(x,T(y,z)),u,w) = T(L(K(x,y),u,w),z). [para(7256(a,2),40(a,1,1))]. given #6893 (H,wt=17): 7280 K(x,L(T(y,z),u,w)) = T(K(x,L(y,u,w)),z). [para(40(a,2),7256(a,1,2))]. given #6894 (H,wt=17): 7284 x * (y * K(z,T(u,y))) = x * (K(z,u) * y). [para(7256(a,2),161(a,1,2,2))]. given #6895 (H,wt=17): 7310 K(L(T(x,y),z,u),w) = K(L(x,z,u),T(w,y)). [para(40(a,2),7260(a,1,1))]. given #6896 (H,wt=17): 7311 K(R(T(x,y),z,u),w) = K(R(x,z,u),T(w,y)). [para(42(a,2),7260(a,1,1))]. given #6897 (H,wt=17): 7325 K(x,T(y,z)) * (y \ u) = T(y,T(x,z)) \ u. [para(7260(a,1),5204(a,1,1))]. given #6898 (H,wt=17): 7326 (x * y) / (K(z,T(x,u)) * y) = T(x,T(z,u)). [para(7260(a,1),5354(a,1,2,1))]. given #6899 (H,wt=17): 7331 T(T(x,K(y,z)) * K(y,x),y) = T(x,K(y,z)). [para(7277(a,1),4853(a,1,1,2))]. given #6900 (H,wt=17): 7332 K(x,y / R(x,z,u)) = K(x,R(x,z,u) \ y). [para(121(a,1),7273(a,1,2)),flip(a)]. given #6901 (H,wt=17): 7350 K(x,T((y / z) \ 1,z)) = K(x,(z \ y) \ 1). [hyper(17,a,5787,a(flip),b,7281,a)]. given #6902 (H,wt=17): 7353 x * K(y,T(T(z,x),u)) = K(y,T(z,u)) * x. [para(38(a,1),7281(a,1,2,2))]. given #6903 (H,wt=17): 7360 x * K(y,K(z,T(u,x))) = K(y,K(z,u)) * x. [para(7256(a,2),7281(a,1,2,2))]. given #6904 (H,wt=17): 7371 K(x / y,L(y,z,u)) = K(y \ x,L(y,z,u)). [para(132(a,1),7312(a,1,2))]. given #6905 (H,wt=17): 7372 K(x \ y,z) * (y / x) = T(y / x,T(z,x)). [para(7312(a,1),4897(a,2,1)),flip(a)]. given #6906 (H,wt=17): 7384 K(x * y,T(z,y \ 1)) = K(x * y,T(z,x)). [para(6365(a,1),7367(a,1,2))]. given #6907 (H,wt=17): 7391 L(x / y,z,x / y) = L(x / y,z,y \ x). [para(121(a,1),7387(a,1,3)),flip(a)]. given #6908 (H,wt=17): 7398 T(K(x,y) * z,T(x,y)) = T(z * K(x,y),x). [para(7222(a,1),7138(a,1,1)),flip(a)]. given #6909 (H,wt=17): 7437 K(x,T(x * K(y,z),y)) = K(x,x * K(y,z)). [para(7133(a,2),7430(a,1,2))]. given #6910 (H,wt=17): 7441 K(x,R(x,y,z) * u) = K(x,u * R(x,y,z)). [para(4817(a,1),7440(a,1,2)),flip(a)]. given #6911 (H,wt=17): 7444 K(x,T(y,(z \ u) \ y)) = K(x,T(y,u \ z)). [para(6361(a,1),7258(a,1,2)),flip(a)]. given #6912 (H,wt=17): 7450 T(x,y) * K(x,K(y,z)) = T(T(x,y),K(y,z)). [para(3248(a,1),7320(a,1,2,2))]. given #6913 (H,wt=17): 7453 K(x,K(y,z)) * T(x,y) = T(T(x,y),K(y,z)). [para(3248(a,1),7321(a,1,1,2))]. given #6914 (H,wt=15): 7856 K(x,K(y,z)) * T(x,y) = T(x,T(y,z)). [hyper(236,a,7135,a(flip),b,7453,a)]. given #6915 (H,wt=17): 7454 K(x,y \ z) * T(x,z) = T(T(x,z),z / y). [para(7271(a,1),7321(a,1,1))]. given #6916 (H,wt=17): 7480 K(x * K(y,z \ u),u / z) = K(x,u / z). [para(7313(a,1),7470(a,1,1,2))]. given #6917 (H,wt=17): 7513 K((L(x,y,z) \ u) * L(x,y,z),x) = K(u,x). [para(249(a,1),7505(a,1,1))]. given #6918 (H,wt=17): 7514 K(R(x,y,z) * u,x) = K(u * R(x,y,z),x). [para(4817(a,1),7507(a,1,1))]. given #6919 (H,wt=17): 7532 T(x * y,T(z,y \ 1)) = T(x * y,T(z,x)). [para(6365(a,1),7528(a,1,2))]. given #6920 (H,wt=16): 7859 T(x * y,T(y,x)) != z | T(x * y,y) = z. [para(7532(a,1),5859(a,1))]. given #6921 (H,wt=17): 7544 (x * (y \ z)) * K(y,y \ z) = x * (z / y). [hyper(6489,a,7540,a),flip(a)]. given #6922 (H,wt=17): 7553 (x / (y / z)) * K(z,z \ y) = x / (z \ y). [hyper(18,a,6360,a,b,7540,a)]. given #6923 (H,wt=17): 7570 (x * K(y,y \ z)) * (y \ z) = x * (z / y). [para(7540(a,1),6355(a,1,1)),flip(a)]. given #6924 (H,wt=17): 7571 (x * K(y,z)) * (T(y,z) \ 1) = x * (y \ 1). [para(7540(a,1),6943(a,1,1)),flip(a)]. given #6925 (H,wt=17): 7584 K(x,1 / (K(y,z) / u)) = K(x,u * K(z,y)). [para(7547(a,1),5796(a,2,2))]. given #6926 (H,wt=17): 7614 (x * ((y \ z) \ z)) * K(y \ z,y) = x * y. [para(120(a,1),7554(a,1,1,2))]. given #6927 (H,wt=15): 7864 (T(x,y) \ y) * ((x \ y) \ y) = T(y,x). [hyper(18,a,4726,a,b,7614,a)]. given #6928 (H,wt=17): 7619 (x * y) * (z * K(y,z)) = (x * T(y,z)) * z. [para(7554(a,1),6265(a,1,1))]. given #6929 (H,wt=17): 7623 (x / K(y,z)) * K(x,K(y,z)) = K(y,z) \ x. [hyper(236,a,7223,a(flip),b,7555,a)]. given #6930 (H,wt=17): 7624 (x / y) * K(z,T(y,u)) = x / T(y,T(z,u)). [hyper(236,a,7305,a(flip),b,7555,a(flip)),flip(a)]. given #6931 (H,wt=17): 7629 (x / T(y,z)) * K(z,y) = x / T(T(y,z),z). [para(4993(a,1),7555(a,1,2))]. given #6932 (H,wt=17): 7641 (x * ((y * z) / y)) * y = (x * z) * T(y,z). [para(6447(a,1),7568(a,1,1)),flip(a)]. given #6933 (H,wt=17): 7660 (x * K(y,T(z,u))) \ (x * z) = T(z,T(y,u)). [para(7260(a,1),7636(a,1,1,2))]. given #6934 (H,wt=17): 7677 T(x,y) \ R(T(x,y),z,x) = x \ R(x,z,x). [hyper(72,a,7399,a(flip),b,4859,a),flip(a)]. given #6935 (H,wt=17): 7683 K(x * T(y,z),T(z,u)) = K(x * y,T(z,u)). [para(1251(a,1),7481(a,1,1))]. given #6936 (H,wt=17): 7684 K(T(x,y) * z,T(x,u)) = K(x * z,T(x,u)). [para(4860(a,1),7488(a,1,1)),flip(a)]. given #6937 (H,wt=17): 7685 K(T(x,y) \ z,T(x,u)) = K(x \ z,T(x,u)). [para(5204(a,1),7488(a,1,1))]. given #6938 (H,wt=17): 7688 K(x,y * (z / T(u,x))) = K(x,y * (z / u)). [para(6197(a,1),7502(a,1,2,2)),flip(a)]. given #6939 (H,wt=17): 7692 (x * y) / (x * K(z,y)) = T((x * y) / x,z). [para(13(a,1),7518(a,1,2,2,2))]. given #6940 (H,wt=17): 7703 (x * y) * K(y \ z,y) = x * (z / (z / y)). [para(4206(a,1),7545(a,2,2))]. given #6941 (H,wt=17): 7712 K(T(x * K(y,z),x),u) = K(K(y,z) * x,u). [para(7586(a,1),7245(a,1,1)),flip(a)]. given #6942 (H,wt=17): 7719 K(x * (y / T(z,u)),u) = K(x * (y / z),u). [para(7555(a,1),7607(a,1,1,2))]. given #6943 (H,wt=17): 7724 K((x \ 1) * y,x \ 1) = K(x \ y,x \ 1). [hyper(6070,a,7720,a),flip(a)]. given #6944 (H,wt=17): 7738 K(x,y * (T(z,x) \ u)) = K(x,y * (z \ u)). [para(5204(a,1),7690(a,1,2,2))]. given #6945 (H,wt=17): 7741 (x / (y \ z)) * (z / y) = x * K(y,y \ z). [para(14(a,1),7700(a,1,2,1))]. given #6946 (H,wt=17): 7746 (x * (y * K(z,y))) * z = (x * y) * T(z,y). [para(7701(a,1),6188(a,1,1))]. given #6947 (H,wt=17): 7765 (x * K(y,x)) / x != z | L(K(y,x),x,u) = z. [para(3139(a,2),7756(a,1))]. given #6948 (H,wt=17): 7784 K(x,T(T(y / z,u),y)) = K(x,T(z \ y,u)). [para(7734(a,1),7257(a,1,2)),flip(a)]. given #6949 (H,wt=17): 7796 K(x,T((y \ z) \ z,u)) = K(x,T(T(y,u),z)). [para(7783(a,1),7257(a,1,2))]. given #6950 (H,wt=17): 7846 R(x * K(y,x),z,x) = K(y,x) * R(x,z,x). [hyper(236,a,3147,a(flip),b,7240,a)]. given #6951 (H,wt=17): 7851 K(R(T(x,K(y,z)),u,w),z) = K(R(x,u,w),z). [para(3137(a,1),7311(a,2,2))]. given #6952 (H,wt=17): 7854 K(x,T(y,z \ (u * y))) = K(x,T(y,z \ u)). [para(6611(a,1),7444(a,1,2))]. given #6953 (H,wt=17): 7855 T(x,y) * K(x,K(y,z)) = x * T(K(x,y),z). [hyper(236,a,7364,a(flip),b,7450,a)]. given #6954 (H,wt=15): 7881 K(x,y) * K(x,K(y,z)) = T(K(x,y),z). [hyper(5183,a,7855,a)]. given #6955 (H,wt=10): 7884 K(x,K(y,R(x,z,u))) = 1. [hyper(71,a,3275,a(flip),b,7881,a),flip(a)]. given #6956 (H,wt=10): 7889 T(x,K(y,R(x,z,u))) = x. [hyper(37,a,7884,a)]. given #6957 (H,wt=11): 7885 K(x,K(y,z)) = K(z,K(y,x)). [hyper(17,a,5839,a,b,7881,a)]. given #6958 (H,wt=11): 7886 K(K(x,y),z) = K(x,K(y,z)). [hyper(17,a,4887,a(flip),b,7881,a),flip(a)]. given #6959 (H,wt=13): 7893 x * K(y,K(z,x)) = T(x,K(z,y)). [para(7885(a,1),4887(a,2,2)),flip(a)]. given #6960 (H,wt=11): 7916 T(x,T(y,K(z,x))) = T(x,y). [para(7893(a,1),7572(a,1,2))]. given #6961 (H,wt=13): 7894 K(x,K(y,z)) * z = T(z,K(y,x)). [para(7885(a,1),4897(a,2,1)),flip(a)]. given #6962 (H,wt=13): 7898 K(x,K(y,z)) \ 1 = K(z,K(x,y)). [para(7885(a,1),5837(a,1,1))]. given #6963 (H,wt=11): 7919 K(x,K(y,z)) = K(y,K(x,z)). [hyper(5842,a,7898,a)]. given #6964 (H,wt=11): 7920 K(K(x,y),z) = K(y,K(z,x)). [hyper(5116,a,7898,a)]. given #6965 (H,wt=11): 7922 K(K(x,y),z) = K(y,K(x,z)). [hyper(236,a,7886,a,b,7919,a),flip(a)]. given #6966 (H,wt=11): 7923 K(x,K(y,z)) = K(z,K(x,y)). [hyper(236,a,7885,a,b,7919,a)]. given #6967 (H,wt=11): 7935 K(K(x,y),z) = K(x,K(z,y)). [hyper(236,a,7885,a,b,7920,a)]. given #6968 (H,wt=11): 7936 K(K(x,y),z) = K(z,K(x,y)). [hyper(236,a,7885,a,b,7922,a)]. given #6969 (H,wt=11): 7937 K(x,K(y,z)) = K(x,K(z,y)). [hyper(236,a,7920,a(flip),b,7922,a(flip))]. given #6970 (H,wt=13): 7918 T(x,T(y,T(z,x))) = T(x,T(y,z)). [para(7135(a,1),7916(a,1,2))]. given #6971 (H,wt=13): 7924 x * K(y,K(x,z)) = T(x,K(y,z)). [para(7919(a,1),4887(a,2,2)),flip(a)]. given #6972 (H,wt=13): 7925 K(x,K(y,z)) * y = T(y,K(x,z)). [para(7919(a,1),4897(a,2,1)),flip(a)]. given #6973 (H,wt=13): 7933 x * K(y,K(z,x)) = T(x,K(y,z)). [para(7919(a,1),7893(a,1,2))]. given #6974 (H,wt=11): 7981 T(x,K(y,z)) = T(x,K(z,y)). [hyper(236,a,7893,a(flip),b,7933,a(flip))]. given #6975 (H,wt=11): 7983 T(T(x,K(y,z)),K(y,z)) = x. [hyper(5847,a,7981,a)]. given #6976 (H,wt=13): 7934 K(x,K(y,z)) * z = T(z,K(x,y)). [para(7919(a,1),7894(a,1,1))]. given #6977 (H,wt=13): 7941 x * K(K(y,z),x) = T(x,K(y,z)). [para(7922(a,2),7893(a,1,2))]. given #6978 (H,wt=13): 7942 K(x,K(y,z)) * y = T(y,K(z,x)). [para(7923(a,1),4897(a,2,1)),flip(a)]. given #6979 (H,wt=13): 7958 K(x,K(y,z)) * x = T(x,K(z,y)). [para(7923(a,1),7894(a,1,1))]. given #6980 (H,wt=13): 7961 K(x,K(y,z)) * K(x,K(y,z)) = 1. [hyper(73,a,7936,a,b,7540,a),flip(a)]. given #6981 (H,wt=13): 7982 T(T(x,y),K(z,y)) = T(x,T(y,z)). [hyper(7185,a,7981,a),flip(a)]. given #6982 (H,wt=13): 7995 T(T(x,K(y,z)),z) = T(x,T(z,y)). [para(7981(a,1),7138(a,1,1))]. given #6983 (H,wt=13): 8008 K(T(x,T(y,z)),z) = K(T(x,y),z). [para(7982(a,1),7248(a,1,1))]. given #6984 (H,wt=14): 7890 T(T(x,y),K(z,R(x,u,w))) = T(x,y). [para(7889(a,1),38(a,1,1)),flip(a)]. given #6985 (H,wt=14): 7899 K(x,K(y,z)) != u | K(K(x,y),z) = u. [para(7885(a,1),5836(a,1))]. given #6986 (H,wt=14): 7908 K(x,K(y,z)) != u | K(z,K(y,x)) = u. [para(7886(a,1),5868(a,1))]. given #6987 (H,wt=14): 7921 K(x,K(y,z)) != u | K(y,K(x,z)) = u. [para(7898(a,1),5842(a,1))]. given #6988 (H,wt=14): 7939 K(x,K(y,z)) != u | K(z,K(x,y)) = u. [para(7922(a,1),5868(a,1))]. given #6989 (H,wt=14): 7947 K(x,K(y,z)) != u | K(K(x,z),y) = u. [para(7923(a,1),5836(a,1))]. given #6990 (H,wt=14): 7960 K(x,K(y,z)) != u | K(y,K(z,x)) = u. [para(7935(a,1),5868(a,1))]. given #6991 (H,wt=14): 7971 K(x,K(y,z)) != u | K(x,K(z,y)) = u. [para(7936(a,1),5868(a,1))]. given #6992 (H,wt=14): 7992 T(T(x,K(y,z)),K(y,z)) != u | u = x. [para(7981(a,1),5847(a,1,1))]. given #6993 (H,wt=12): 8018 T(x,K(y,T(x,z))) != u | u = x. [para(6441(a,1),7992(a,1,1))]. given #6994 (H,wt=14): 7993 T(K(x,y),K(z,x)) != u | K(x,y) = u. [para(7981(a,1),5853(a,1))]. given #6995 (H,wt=14): 8002 T(x,K(y,z)) != u | T(x,K(z,y)) = u. [para(7983(a,1),5847(a,1,1)),flip(b)]. given #6996 (H,wt=14): 8011 K(K(x,y),z) != u | K(x,K(y,z)) = u. [para(5835(a,2),7908(a,1))]. given #6997 (H,wt=14): 8012 K(K(x,y),z) != u | K(z,K(x,y)) = u. [para(7922(a,2),7908(a,1))]. given #6998 (H,wt=14): 8013 K(K(x,y),z) != u | K(y,K(z,x)) = u. [para(7935(a,2),7908(a,1))]. given #6999 (H,wt=14): 8014 K(K(x,y),z) != u | K(y,K(x,z)) = u. [para(7936(a,2),7908(a,1))]. given #7000 (H,wt=14): 8017 T(x * y,K(y,x)) != z | x * y = z. [para(4814(a,1),7992(a,1,1)),flip(b)]. given #7001 (H,wt=14): 8019 T(x \ y,K(x,y)) != z | x \ y = z. [para(7156(a,1),7992(a,1,1)),flip(b)]. given #7002 (H,wt=15): 7882 K(x,K(y,z)) * K(x,y) = T(K(x,y),z). [hyper(5870,a,7881,a)]. given #7003 (H,wt=15): 7883 K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). [hyper(236,a,7256,a,b,7881,a)]. given #7004 (H,wt=12): 8023 K(x,K(y,R(T(x,z),u,w))) = 1. [hyper(71,a,7319,a(flip),b,7883,a),flip(a)]. given #7005 (H,wt=15): 7892 K(x,K(y,z)) \ K(y,x) = T(K(y,x),z). [para(7885(a,1),4846(a,2,1)),flip(a)]. given #7006 (H,wt=15): 7901 K(x,K(y,z)) * K(x,y) = K(x,T(y,z)). [para(7885(a,1),7265(a,1,1))]. given #7007 (H,wt=15): 7902 K(x,K(y,z)) * T(z,y) = T(z,T(y,x)). [para(7885(a,1),7856(a,1,1))]. given #7008 (H,wt=15): 7912 K(x,K(K(x,y) \ z,u)) = K(K(x,z),u). [para(7429(a,1),7886(a,1,1)),flip(a)]. given #7009 (H,wt=15): 7913 K(K(x,y) * z,K(x,u)) = K(K(z,x),u). [para(7485(a,1),7886(a,1,1)),flip(a)]. given #7010 (H,wt=15): 7917 K(x,T(y,T(z,K(u,x)))) = K(x,T(y,z)). [para(7893(a,1),7812(a,1,2,2))]. given #7011 (H,wt=15): 7930 K(x,y) * K(y,K(z,x)) = T(K(x,y),z). [para(7919(a,1),5839(a,1,2))]. given #7012 (H,wt=15): 7931 K(x,K(y,z * y)) = K(y,K(x,y * z)). [para(6605(a,2),7919(a,1,2))]. given #7013 (H,wt=15): 7932 K(x,K(y,K(x,z) * u)) = K(y,K(x,u)). [para(7426(a,1),7919(a,1,2)),flip(a)]. given #7014 (H,wt=15): 7948 K(x,y) * K(x,K(z,y)) = T(K(x,y),z). [para(7923(a,1),5839(a,1,2))]. given #7015 (H,wt=15): 7953 K(x,K(y,T(z,u))) = K(z,K(x,T(y,u))). [para(7260(a,1),7923(a,1,2))]. given #7016 (H,wt=15): 7954 K(x,K(y,z)) * K(y,x) = K(y,T(x,z)). [para(7923(a,2),7265(a,1,1))]. given #7017 (H,wt=15): 7955 K(x,y) * K(x,K(z,y)) = K(x,T(y,z)). [para(7923(a,1),7266(a,1,2))]. given #7018 (H,wt=15): 7956 K(x,y) * K(y,K(x,z)) = K(x,T(y,z)). [para(7923(a,2),7266(a,1,2))]. given #7019 (H,wt=15): 7959 K(x,K(y,z)) / y = 1 / T(y,K(x,z)). [hyper(74,a,7935,a(flip),b,4827,a(flip))]. given #7020 (H,wt=15): 7964 K(x,K(y,z)) \ u = K(x,K(y,z)) * u. [para(7936(a,1),5260(a,1,1))]. given #7021 (H,wt=15): 7979 K(x,y) * K(z,K(x,y)) = K(x,T(y,z)). [para(7937(a,1),7266(a,1,2))]. given #7022 (H,wt=11): 8046 T(K(x,T(y,z)),z) = K(x,y). [para(7979(a,1),4853(a,1,1))]. given #7023 (H,wt=11): 8051 K(x,T(T(y,z),z)) = K(x,y). [hyper(7817,a,8046,a)]. given #7024 (H,wt=11): 8054 K(T(x,y),T(z,y)) = K(x,z). [hyper(236,a,7244,a,b,8046,a(flip)),flip(a)]. given #7025 (H,wt=11): 8058 T(T(K(x,y),z),z) = K(x,y). [para(7256(a,1),8046(a,1,1))]. given #7026 (H,wt=13): 8045 (x * K(y,z)) / x = K(y,T(z,x)). [hyper(5058,a,7979,a)]. given #7027 (H,wt=13): 8047 K(x,T(y,z)) * z = z * K(x,y). [para(7979(a,1),4900(a,1,1))]. given #7028 (H,wt=13): 8052 K(x \ y,T(z,y)) = K(y / x,z). [hyper(6500,a,8046,a)]. given #7029 (H,wt=13): 8056 T(K(x,y \ z),y) = K(x,z / y). [para(121(a,1),8046(a,1,1,2))]. given #7030 (H,wt=13): 8059 T(K(x,y \ z),z) = K(x,z / y). [para(7271(a,1),8046(a,1,1))]. given #7031 (H,wt=13): 8060 T(K(x \ y,z),y) = K(y / x,z). [para(7272(a,1),8046(a,1,1))]. given #7032 (H,wt=13): 8061 T(K(x \ y,z),x) = K(y / x,z). [para(7312(a,1),8046(a,1,1))]. given #7033 (H,wt=13): 8066 K(x,T(y \ z,z)) = K(x,z / y). [hyper(236,a,7784,a(flip),b,8051,a(flip)),flip(a)]. given #7034 (H,wt=13): 8067 K((x * y) / x,z) = K(y,T(z,x)). [hyper(236,a,7314,a(flip),b,8051,a(flip))]. given #7035 (H,wt=13): 8068 K(x \ y,T(z,x)) = K(y / x,z). [hyper(236,a,7312,a(flip),b,8051,a(flip)),flip(a)]. given #7036 (H,wt=13): 8069 K(x,T(y \ z,y)) = K(x,z / y). [para(121(a,1),8051(a,1,2,1))]. given #7037 (H,wt=13): 8070 K(x,(y * z) / y) = K(x,T(z,y)). [para(162(a,1),8051(a,1,2,1)),flip(a)]. given #7038 (H,wt=13): 8074 K(x / (x / y),z) = K(y,T(z,x)). [hyper(236,a,7246,a(flip),b,8054,a(flip))]. given #7039 (H,wt=13): 8078 K(T(x,y),y \ z) = K(x,z / y). [para(121(a,1),8054(a,1,2))]. given #7040 (H,wt=13): 8079 K(x,(y * z) / y) = K(T(x,y),z). [para(162(a,1),8054(a,1,2)),flip(a)]. given #7041 (H,wt=13): 8085 K(x * K(y,x),z) = K(x,T(z,y)). [para(4853(a,1),8054(a,1,1)),flip(a)]. given #7042 (H,wt=13): 8086 K(x,y * K(z,y)) = K(T(x,z),y). [para(4853(a,1),8054(a,1,2)),flip(a)]. given #7043 (H,wt=13): 8087 x * K(T(x,y),T(z,y)) = T(x,z). [para(8054(a,2),4887(a,2,2)),flip(a)]. given #7044 (H,wt=11): 8147 T(x,T(T(y,z),z)) = T(x,y). [hyper(7322,a,8087,a)]. given #7045 (H,wt=13): 8092 K(T(x,y),z) * y = y * K(x,z). [para(8054(a,1),7281(a,1,2)),flip(a)]. given #7046 (H,wt=13): 8093 K(x,T(y,z)) * (z * K(y,x)) = z. [para(8054(a,1),7351(a,1,2,2))]. given #7047 (H,wt=13): 8094 T(K(x,y),z) * z = z * K(x,y). [para(8058(a,1),119(a,1,2)),flip(a)]. given #7048 (H,wt=13): 8124 K(x,y / (y / z)) = K(x,T(z,y)). [para(65(a,1),8066(a,1,2,1)),flip(a)]. given #7049 (H,wt=13): 8151 T(x,T(y \ z,y)) = T(x,z / y). [para(121(a,1),8147(a,1,2,1))]. given #7050 (H,wt=13): 8152 T(x,(y * z) / y) = T(x,T(z,y)). [para(162(a,1),8147(a,1,2,1)),flip(a)]. given #7051 (H,wt=13): 8154 T(x,y * K(z,y)) = T(x,T(y,z)). [para(4853(a,1),8147(a,1,2,1)),flip(a)]. given #7052 (H,wt=13): 8157 x / (x * K(y,z)) = K(z,T(y,x)). [para(8092(a,1),5266(a,1,2))]. given #7053 (H,wt=13): 8159 K(x,y / (y / z)) = K(T(x,y),z). [hyper(236,a,7260,a,b,8124,a)]. given #7054 (H,wt=13): 8169 x / (x / K(y,z)) = K(y,T(z,x)). [para(7547(a,2),8157(a,1,2))]. given #7055 (H,wt=14): 8048 T(K(x,T(y,z)),z) != u | K(x,y) = u. [para(7979(a,1),5029(a,1,1)),flip(b)]. given #7056 (H,wt=14): 8063 K(x,y) != z | K(x,T(T(y,u),u)) = z. [para(8046(a,1),7817(a,1))]. given #7057 (H,wt=14): 8115 K(x,y * K(x,z)) != u | K(x,y) = u. [para(8047(a,1),7436(a,1,2))]. given #7058 (H,wt=14): 8161 K(x,x / (x / y)) != z | K(x,y) = z. [para(8124(a,2),5001(a,1))]. given #7059 (H,wt=14): 8173 K(T(x,y),T(z,y)) != u | K(x,z) = u. [para(7244(a,2),8048(a,1))]. given #7060 (H,wt=14): 8174 K(x,T(T(y,z),z)) != u | K(x,y) = u. [para(7256(a,2),8048(a,1))]. given #7061 (H,wt=14): 8175 T(K(x,y),1 / x) != z | K(x,y) = z. [para(7275(a,1),8048(a,1,1))]. given #7062 (H,wt=15): 7980 T(x,y * T(z,K(x,u))) = T(x,y * z). [para(7924(a,1),7598(a,1,2,2))]. given #7063 (H,wt=15): 7984 K(x,y) * (z * K(y,x)) = T(z,K(x,y)). [hyper(5291,a,7981,a)]. given #7064 (H,wt=15): 7985 T(T(x,K(y,z)),u) = T(T(x,u),K(z,y)). [hyper(417,a,7981,a)]. given #7065 (H,wt=15): 7986 (K(x,y) * z) * K(y,x) = T(z,K(x,y)). [hyper(236,a,7395,a,b,7981,a),flip(a)]. given #7066 (H,wt=15): 7987 T(x * K(y,z),K(y,z)) = K(y,z) * x. [hyper(236,a,7396,a(flip),b,7981,a)]. given #7067 (H,wt=15): 7988 T(K(x,y) * z,K(y,x)) = z * K(x,y). [hyper(236,a,7222,a(flip),b,7981,a)]. given #7068 (H,wt=15): 7989 T(x * y,K(z,y)) = y * T(x,T(y,z)). [hyper(236,a,6466,a(flip),b,7981,a)]. given #7069 (H,wt=15): 7990 K(x,y) * T(z,K(y,x)) = z * K(x,y). [para(7981(a,1),119(a,1,2))]. given #7070 (H,wt=15): 7994 T(x,K(y,z)) * K(y,z) = K(y,z) * x. [para(7981(a,1),5846(a,1,1))]. given #7071 (H,wt=15): 7996 T(x,K(y,z)) * z = z * T(x,T(z,y)). [para(7981(a,1),7141(a,1,1))]. given #7072 (H,wt=15): 7999 (K(x,y) * z) / K(x,y) = T(z,K(x,y)). [hyper(672,a,7983,a),flip(a)]. given #7073 (H,wt=15): 8003 T(x,K(y,z)) * (x \ z) = T(z,K(x,y)). [hyper(5618,a,7934,a)]. given #7074 (H,wt=15): 8022 K(x,y) * K(y,T(x,z)) = K(y,K(x,z)). [hyper(5285,a,7883,a)]. given #7075 (H,wt=15): 8029 K(x,K(K(x,y) \ z,u)) = K(x,K(z,u)). [hyper(236,a,7886,a(flip),b,7912,a)]. given #7076 (H,wt=15): 8030 K(K(x,y) * z,K(x,u)) = K(x,K(z,u)). [hyper(236,a,7922,a(flip),b,7913,a)]. given #7077 (H,wt=15): 8031 K(K(x,y) * z,K(x,u)) = K(z,K(x,u)). [hyper(236,a,7886,a(flip),b,7913,a)]. given #7078 (H,wt=14): 8212 R(x,K(y,z) * u,K(u,K(y,w))) = x. [para(8031(a,1),6350(a,1,3))]. given #7079 (H,wt=15): 8032 T(K(x,y),T(z,K(u,x))) = K(x,T(y,z)). [hyper(236,a,7256,a(flip),b,7917,a(flip)),flip(a)]. given #7080 (H,wt=15): 8034 K(x,K(y,K(x,z) * u)) = K(x,K(y,u)). [hyper(236,a,7919,a,b,7932,a)]. given #7081 (H,wt=15): 8035 K(x,K(y,T(z,u))) = K(z,K(y,T(x,u))). [hyper(7921,a,7953,a)]. given #7082 (H,wt=15): 8038 K(x,T(y,z)) * K(y,x) = K(y,K(x,z)). [hyper(7559,a,7954,a)]. given #7083 (H,wt=15): 8039 K(x,y) * K(y,T(x,z)) = K(x,K(y,z)). [hyper(18,a,7538,a,b,7954,a),flip(a)]. given #7084 (H,wt=15): 8044 K(x,y) * K(y,T(x,z)) = K(z,K(y,x)). [hyper(5285,a,7979,a)]. given #7085 (H,wt=15): 8062 T(K(1 / T(x,y),z),y) = K(1 / x,z). [para(7267(a,2),8046(a,1,1))]. given #7086 (H,wt=15): 8071 T(T(x,y),T(z,y)) = K(x,z) * T(x,y). [para(8051(a,1),7321(a,1,1)),flip(a)]. given #7087 (H,wt=15): 8075 K(T(x,y),T(T(z,y),u)) = K(x,T(z,u)). [para(38(a,1),8054(a,1,2))]. given #7088 (H,wt=15): 8084 K(T(x,y \ z),y) = K(x,z / (z / y)). [para(4202(a,1),8054(a,1,2))]. given #7089 (H,wt=13): 8225 K(T(x,y \ z),y) = K(T(x,z),y). [hyper(236,a,8159,a(flip),b,8084,a)]. given #7090 (H,wt=15): 8089 T(x,T(y,z)) * z = (x * z) * K(x,y). [para(8054(a,1),6199(a,1,2)),flip(a)]. given #7091 (H,wt=15): 8101 T(x,T(y,z)) * (x \ z) = z * K(x,y). [hyper(5618,a,8047,a)]. given #7092 (H,wt=15): 8102 K(x,T(y \ 1,z)) = K(x,y \ K(y,z)). [hyper(18,a,6049,a,b,8047,a)]. given #7093 (H,wt=15): 8104 K(x,T((y \ z) \ 1,y)) = K(x,y / z). [hyper(18,a,5939,a(flip),b,8047,a)]. given #7094 (H,wt=15): 8105 (x * K(y,z)) / (y \ x) = T(y,T(z,x)). [hyper(74,a,8047,a(flip),b,4857,a)]. given #7095 (H,wt=15): 8107 K(x,y \ z) * y = y * K(x,z / y). [para(121(a,1),8047(a,1,1,2))]. given #7096 (H,wt=15): 8109 T(x,T(y,z)) * z = x * (z * K(x,y)). [para(8047(a,1),4856(a,1,2)),flip(a)]. given #7097 (H,wt=15): 8112 K(x,y \ z) * z = z * K(x,z / y). [para(7271(a,1),8047(a,1,1))]. given #7098 (H,wt=15): 8113 K(x \ y,z) * y = y * K(y / x,z). [para(7272(a,1),8047(a,1,1))]. given #7099 (H,wt=15): 8114 K(x \ y,z) * x = x * K(y / x,z). [para(7312(a,1),8047(a,1,1))]. given #7100 (H,wt=15): 8116 K(x,(y * K(x,z)) * u) = K(x,y * u). [para(8047(a,1),7443(a,1,2,1))]. given #7101 (H,wt=15): 8117 K(x / y,x / z) = K(y \ x,z \ x). [hyper(7297,a,8052,a),flip(a)]. given #7102 (H,wt=15): 8119 x / K(x / y,z) = K(y \ x,z) \ x. [para(8052(a,1),7302(a,1,2))]. given #7103 (H,wt=15): 8142 T(x,(y * z) / y) = x * K(T(x,y),z). [para(8079(a,1),4887(a,2,2))]. given #7104 (H,wt=15): 8149 T(x,T(T(y,z),z)) = T(x,K(x,u) * y). [hyper(236,a,7409,a,b,8147,a)]. given #7105 (H,wt=14): 8242 T(x,T(T(y,z),z)) != u | T(x,y) = u. [para(8149(a,2),7427(a,1))]. given #7106 (H,wt=15): 8155 T(T(x,y),T(z,y)) = K(x,y) * T(x,z). [para(8147(a,1),7449(a,1,2)),flip(a)]. given #7107 (H,wt=15): 8156 K(x,T(y,z)) * (z * x) = z * T(x,y). [para(8147(a,1),7520(a,2,2))]. given #7108 (H,wt=15): 8166 T(x,(y \ 1) \ K(z,y)) = T(x,T(y,z)). [hyper(236,a,4504,a,b,8154,a(flip)),flip(a)]. given #7109 (H,wt=15): 8176 T(K(x,y),R(x,z,u)) != w | K(x,y) = w. [para(7273(a,1),8048(a,1,1))]. given #7110 (H,wt=15): 8177 T(K(x,y),L(x,z,u)) != w | K(x,y) = w. [para(7274(a,1),8048(a,1,1))]. given #7111 (H,wt=15): 8191 T(K(x,y) \ z,K(x,y)) = z * K(y,x). [hyper(168,a,7252,a,b,7984,a)]. given #7112 (H,wt=15): 8193 K(x,y) * (z / K(x,y)) = T(z,K(x,y)). [para(7547(a,2),7984(a,1,2))]. given #7113 (H,wt=15): 8203 T(K(x,y) * z,K(y,x)) = z / K(y,x). [hyper(236,a,7547,a,b,7988,a)]. given #7114 (H,wt=15): 8208 T(x * y,K(z,y)) = T(x,K(z,y)) * y. [hyper(236,a,7989,a,b,7996,a),flip(a)]. given #7115 (H,wt=15): 8210 K(K(x,y) \ z,K(x,u)) = K(x,K(z,u)). [hyper(7921,a,8029,a)]. given #7116 (H,wt=15): 8211 K(K(x,y) * z,K(y,u)) = K(z,K(y,u)). [para(5268(a,1),8031(a,1,1)),flip(a)]. given #7117 (H,wt=15): 8213 K(x * K(y,z),K(y,u)) = K(x,K(y,u)). [para(8047(a,1),8031(a,1,1))]. given #7118 (H,wt=15): 8217 K(x,K(y,z * K(u,x))) = K(x,K(y,z)). [para(8093(a,1),8034(a,1,2,2)),flip(a)]. given #7119 (H,wt=15): 8222 K(1 / T(T(x,y),y),z) = K(1 / x,z). [hyper(236,a,5678,a,b,8062,a(flip)),flip(a)]. given #7120 (H,wt=15): 8228 K(x,((y \ z) * y) \ y) = K(x,y / z). [hyper(236,a,7446,a(flip),b,8104,a(flip)),flip(a)]. given #7121 (H,wt=15): 8232 (x * y) * K(x,z) = x * (y * K(x,z)). [hyper(236,a,8089,a(flip),b,8109,a(flip)),flip(a)]. given #7122 (H,wt=8): 8262 R(x,y,K(x,z)) = x. [hyper(7075,a,8232,a)]. given #7123 (H,wt=8): 8267 a(x,y,K(x,z)) = 1. [hyper(71,a,8232,a(flip),b,91,a),flip(a)]. given #7124 (H,wt=10): 8263 L(K(x,y),z,x) = K(x,y). [hyper(7030,a,8232,a)]. given #7125 (H,wt=10): 8276 a(x,y,K(x,z)) * u = u. [para(8267(a,2),11(a,1,1))]. given #7126 (H,wt=10): 8281 K(x,L(y,z,x)) = K(x,y). [hyper(236,a,6584,a(flip),b,8263,a(flip)),flip(a)]. given #7127 (H,wt=10): 8282 K(L(x,y,x),z) = K(x,z). [hyper(236,a,6579,a(flip),b,8263,a(flip)),flip(a)]. given #7128 (H,wt=11): 8275 R(x,y,T(x,z)) = R(x,y,x). [para(8262(a,1),6770(a,1,1)),flip(a)]. given #7129 (H,wt=12): 8287 T(x,L(y,z,x)) = x * K(x,y). [para(8281(a,1),4887(a,2,2))]. given #7130 (H,wt=10): 8298 T(x,L(y,z,x)) = T(x,y). [hyper(236,a,4887,a,b,8287,a)]. given #7131 (H,wt=12): 8289 T(x,L(y,z,y)) = x / K(y,x). [para(8282(a,1),4840(a,2,2))]. given #7132 (H,wt=10): 8301 T(x,L(y,z,y)) = T(x,y). [hyper(236,a,4840,a,b,8289,a)]. given #7133 (H,wt=10): 8309 T(x,R(y,z,y)) = T(x,y). [para(4430(a,1),8301(a,1,2)),flip(a)]. given #7134 (H,wt=12): 8302 T(x,L(y,z,y)) = x * K(x,y). [hyper(236,a,7547,a(flip),b,8289,a)]. given #7135 (H,wt=10): 8315 K(x,L(y,z,y)) = K(x,y). [hyper(4954,a,8302,a)]. given #7136 (H,wt=10): 8316 L(K(x,y),z,y) = K(x,y). [hyper(6583,a,8315,a)]. given #7137 (H,wt=10): 8319 K(L(x,y,z),z) = K(x,z). [hyper(236,a,6579,a(flip),b,8316,a(flip)),flip(a)]. given #7138 (H,wt=13): 8285 K(x,(x \ 1) \ y) = K(x,x * y). [para(451(a,1),8281(a,1,2)),flip(a)]. given #7139 (H,wt=13): 8303 T(x,L(y,z,y)) != u | T(x,y) = u. [para(8289(a,2),4841(a,1))]. given #7140 (H,wt=13): 8308 T(x,T(y / z,y)) = T(x,z \ y). [para(4218(a,1),8301(a,1,2))]. given #7141 (H,wt=13): 8310 T(x,T(y,y * z)) = T(x,T(y,z)). [para(7537(a,1),8301(a,1,2))]. given #7142 (H,wt=13): 8313 T(x,T(y,y \ z)) = T(x,T(y,z)). [para(4297(a,1),8309(a,1,2))]. given #7143 (H,wt=13): 8330 T(x,(y \ z) \ z) = T(x,T(y,z)). [para(62(a,1),8308(a,1,2,1)),flip(a)]. given #7144 (H,wt=14): 8272 R(R(x,y,z),u,K(x,w)) = R(x,y,z). [para(8262(a,1),46(a,1,1)),flip(a)]. given #7145 (H,wt=14): 8277 L(K(x,y),z,x) = u \ (u * K(x,y)). [hyper(236,a,13,a,b,8263,a)]. given #7146 (H,wt=13): 8338 L(K(x,y),z,x) != u | K(x,y) = u. [para(8277(a,2),283(a,1)),flip(b)]. given #7147 (H,wt=13): 8341 K(L(x,y,x),z) != u | K(x,z) = u. [para(6579(a,1),8338(a,1))]. given #7148 (H,wt=13): 8342 K(x,L(y,z,x)) != u | K(x,y) = u. [para(6584(a,1),8338(a,1))]. given #7149 (H,wt=13): 8346 K(x,y) != z | K(R(x,u,x),y) = z. [para(4430(a,1),8341(a,1,1))]. given #7150 (H,wt=14): 8331 T(x,y \ x) != z | T(x,x / y) = z. [para(8308(a,1),4172(a,1))]. given #7151 (H,wt=14): 8337 R(x,y,x) != z | R(x,y,T(x,u)) = z. [para(8272(a,1),6769(a,1))]. given #7152 (H,wt=15): 8248 (x * T(y,z)) / T(x,y) = T(y,T(z,x)). [hyper(74,a,8156,a(flip),b,5180,a(flip))]. given #7153 (H,wt=15): 8255 x \ T(y,K(z,x)) = T(x \ y,K(z,x)). [hyper(4651,a,8208,a)]. given #7154 (H,wt=15): 8261 K(x,y \ T(z,z \ y)) = K(x,z / y). [para(5958(a,1),8228(a,1,2))]. given #7155 (H,wt=15): 8279 K(x,(x \ y) \ z) = K(x,y \ (x * z)). [hyper(236,a,6595,a(flip),b,8263,a(flip))]. given #7156 (H,wt=15): 8280 K(x,(x * y) \ z) = K(x,y \ (x \ z)). [hyper(236,a,6594,a(flip),b,8263,a(flip)),flip(a)]. given #7157 (H,wt=15): 8290 K(x,y) * L(x,z,x) = L(T(x,y),z,x). [para(8282(a,1),4969(a,1,1))]. given #7158 (H,wt=15): 8293 R(T(x,y),z,T(x,u)) = T(R(x,z,x),y). [para(8275(a,1),42(a,2,1))]. given #7159 (H,wt=15): 8299 T(x,(x * y) \ z) = T(x,y \ (x \ z)). [para(227(a,1),8298(a,1,2))]. given #7160 (H,wt=15): 8300 T(x,(x \ y) \ z) = T(x,y \ (x * z)). [para(450(a,1),8298(a,1,2)),flip(a)]. given #7161 (H,wt=15): 8305 L(x,y,x) * T(z,x) = z * L(x,y,x). [para(8301(a,1),119(a,1,2))]. given #7162 (H,wt=15): 8311 T(x / R(y,z,y),y) = R(y,z,y) \ x. [hyper(280,a,8309,a),flip(a)]. given #7163 (H,wt=15): 8312 R(x,y,x) * T(z,x) = z * R(x,y,x). [para(8309(a,1),119(a,1,2))]. given #7164 (H,wt=15): 8314 T(x,(y * z) / y) = T(x,y / (y / z)). [para(4431(a,1),8309(a,1,2))]. given #7165 (H,wt=13): 8363 T(x,y / (y / z)) = T(x,T(z,y)). [hyper(236,a,8152,a(flip),b,8314,a(flip))]. given #7166 (H,wt=13): 8364 T(x,T(y \ z,z)) = T(x,z / y). [para(62(a,1),8363(a,1,2,2)),flip(a)]. given #7167 (H,wt=15): 8317 (x * y) * K(z,x) = x * (y * K(z,x)). [para(8315(a,1),6586(a,1,2))]. given #7168 (H,wt=8): 8366 R(x,y,K(z,x)) = x. [hyper(7075,a,8317,a)]. given #7169 (H,wt=10): 8374 R(x,y,K(z,T(x,u))) = x. [para(7260(a,1),8366(a,1,3))]. given #7170 (H,wt=11): 8373 R(x,y,T(z,x)) = R(x,y,z). [para(8366(a,1),6770(a,1,1)),flip(a)]. given #7171 (H,wt=14): 8371 R(R(x,y,z),u,K(w,x)) = R(x,y,z). [para(8366(a,1),46(a,1,1)),flip(a)]. given #7172 (H,wt=15): 8318 K((x * y) \ z,x) = K(y \ (x \ z),x). [hyper(6731,a,8316,a)]. given #7173 (H,wt=15): 8320 K((x \ y) \ z,x) = K(y \ (x * z),x). [hyper(236,a,6568,a(flip),b,8316,a(flip))]. given #7174 (H,wt=15): 8328 T(x,T(x,y) / z) = T(x,z \ T(x,y)). [hyper(7149,a,8308,a)]. given #7175 (H,wt=15): 8351 T(x \ K(x,y),K(z,x)) = x \ K(x,y). [para(2191(a,1),8255(a,1,2)),flip(a)]. given #7176 (H,wt=15): 8353 L(x,y,x) * K(x,z) = L(T(x,z),y,x). [hyper(3259,a,8290,a)]. given #7177 (H,wt=15): 8355 R(T(x,y),z,T(x,u)) = R(T(x,y),z,x). [hyper(236,a,42,a,b,8293,a)]. given #7178 (H,wt=14): 8389 K(x,R(T(y,z),u,y)) = K(x,T(y,z)). [para(8355(a,1),7235(a,1,2))]. given #7179 (H,wt=15): 8378 K((x * y) \ z,y) = K(x \ (y \ z),y). [hyper(236,a,6511,a,b,8318,a(flip)),flip(a)]. given #7180 (H,wt=15): 8379 K((x \ y) \ (x \ z),x) = K(y \ z,x). [para(14(a,1),8318(a,1,1,1)),flip(a)]. given #7181 (H,wt=16): 7896 x * K(y,K(z,x)) != u | T(x,K(z,y)) = u. [para(7885(a,1),4890(a,1,2))]. given #7182 (H,wt=16): 7897 K(x,K(y,z)) * z != u | T(z,K(y,x)) = u. [para(7885(a,1),4898(a,1,1))]. given #7183 (H,wt=16): 7926 x * K(y,K(x,z)) != u | T(x,K(y,z)) = u. [para(7919(a,1),4890(a,1,2))]. given #7184 (H,wt=16): 7927 K(x,K(y,z)) * y != u | T(y,K(x,z)) = u. [para(7919(a,1),4898(a,1,1))]. given #7185 (H,wt=16): 7943 K(x,K(y,z)) * y != u | T(y,K(z,x)) = u. [para(7923(a,1),4898(a,1,1))]. given #7186 (H,wt=16): 7944 K(x,K(y,z)) * z != u | T(z,K(x,y)) = u. [para(7923(a,2),4898(a,1,1))]. given #7187 (H,wt=16): 7976 x * K(x,K(y,z)) != u | T(x,K(z,y)) = u. [para(7937(a,1),4890(a,1,2))]. given #7188 (H,wt=16): 7997 T(T(x,y),K(z,y)) != u | T(x,T(y,z)) = u. [para(7981(a,1),7185(a,1))]. given #7189 (H,wt=16): 7998 T(x,L(K(y,z),T(z,u),w)) = T(x,K(z,y)). [para(7758(a,2),7981(a,1,2))]. given #7190 (H,wt=16): 8004 T(x,K(y,z)) != u * x | K(y,K(z,x)) = u. [para(7934(a,1),20(a,1))]. given #7191 (H,wt=16): 8006 1 != x | K(y,K(z,u)) * K(y,K(z,u)) = x. [para(7961(a,1),5870(a,1))]. given #7192 (H,wt=16): 8009 T(x,T(y,z)) != u | T(T(x,y),K(z,y)) = u. [para(7995(a,1),417(a,1))]. given #7193 (H,wt=16): 8027 K(x,T(y,T(z,x))) != u | K(x,T(y,z)) = u. [para(7902(a,1),7436(a,1,2))]. given #7194 (H,wt=16): 8028 K(x,T(y,T(z,R(x,u,w)))) = K(x,T(y,z)). [para(7902(a,1),7442(a,1,2))]. given #7195 (H,wt=16): 8057 x * K(y,z) != u * x | K(y,T(z,x)) = u. [para(8046(a,1),172(a,1,2)),flip(b)]. given #7196 (H,wt=16): 8143 K(x,(y * z) / y) != u | K(x,T(z,y)) = u. [para(8079(a,2),7823(a,1))]. given #7197 (H,wt=16): 8158 x / (x * K(y,z)) != u | K(z,T(y,x)) = u. [para(8092(a,1),5272(a,1,2))]. given #7198 (H,wt=16): 8163 K(x,y / (y / z)) != u | K(T(x,y),z) = u. [para(8124(a,2),7365(a,1))]. given #7199 (H,wt=16): 8170 T(K(x,y \ z),y) != u | K(x,z / y) = u. [para(121(a,1),8048(a,1,1,2))]. given #7200 (H,wt=16): 8171 K(x \ y,T(z,y)) != u | K(y / x,z) = u. [para(6271(a,1),8048(a,1))]. given #7201 (H,wt=16): 8178 K(x / y,T(z,y)) != u | K(y \ x,z) = u. [para(8061(a,1),8048(a,1))]. given #7202 (H,wt=16): 8179 K(x,y / T(z,x)) != u | K(x,y / z) = u. [para(7555(a,1),8115(a,1,2))]. given #7203 (H,wt=16): 8184 K(x \ y,T(z,x)) != u | K(y / x,z) = u. [para(121(a,1),8173(a,1,1))]. given #7204 (H,wt=16): 8185 K(T(x,y),y \ z) != u | K(x,z / y) = u. [para(121(a,1),8173(a,1,2))]. given #7205 (H,wt=16): 8187 K(x,T(y \ z,y)) != u | K(x,z / y) = u. [para(121(a,1),8174(a,1,2,1))]. given #7206 (H,wt=16): 8188 K(x,T(y,z)) != u | K(x,(z * y) / z) = u. [para(162(a,1),8174(a,1,2,1))]. given #7207 (H,wt=16): 8189 K(x,T(y \ z,z)) != u | K(x,z / y) = u. [para(7784(a,1),8174(a,1))]. given #7208 (H,wt=16): 8190 K((x * y) / x,T(z,x)) != u | K(y,z) = u. [para(8067(a,2),8174(a,1))]. given #7209 (H,wt=14): 8409 K(x \ (x * y),z) != u | K(y,z) = u. [para(7312(a,1),8190(a,1))]. given #7210 (H,wt=14): 8411 K((x / y) \ x,z) != u | K(y,z) = u. [para(16(a,1),8409(a,1,1,2))]. given #7211 (H,wt=14): 8415 K(K(x,y) * z,x) != u | K(z,x) = u. [para(7484(a,1),8409(a,1))]. given #7212 (H,wt=14): 8418 K(x * y,x) != z | K(y * x,x) = z. [para(4817(a,1),8415(a,1,1))]. given #7213 (H,wt=14): 8421 K(x * K(y,z),y) != u | K(x,y) = u. [para(8047(a,1),8415(a,1,1))]. given #7214 (H,wt=16): 8241 T(x,(y * z) / y) != u | T(x,T(z,y)) = u. [para(8142(a,2),7322(a,1))]. given #7215 (H,wt=16): 8243 T(x,T(y \ z,y)) != u | T(x,z / y) = u. [para(121(a,1),8242(a,1,2,1))]. given #7216 (H,wt=16): 8245 T(K(x,y),T(z,y)) != u | T(K(x,y),z) = u. [para(7145(a,1),8242(a,1))]. given #7217 (H,wt=16): 8284 K(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)). [para(45(a,1),8281(a,1,2))]. given #7218 (H,wt=16): 8323 K(L(L(x,y,z),u,w),z) = K(L(x,u,w),z). [para(45(a,1),8319(a,1,1))]. given #7219 (H,wt=16): 8326 K(x,T(y,L(z,u,x))) = K(x * K(z,x),y). [para(8319(a,1),8085(a,1,1,2)),flip(a)]. given #7220 (H,wt=14): 8425 K(x,T(y,L(z,u,x))) = K(x,T(y,z)). [hyper(236,a,8085,a(flip),b,8326,a)]. given #7221 (H,wt=16): 8327 T(x,T(y / z,y)) != u | T(x,z \ y) = u. [para(4218(a,1),8303(a,1,2))]. given #7222 (H,wt=16): 8345 K(T(x / (x / y),x),z) != u | K(y,z) = u. [para(4215(a,2),8341(a,1,1))]. given #7223 (H,wt=16): 8365 T(x,T(x \ y,y)) != z | T(x,x \ y) = z. [para(8364(a,2),4163(a,1))]. given #7224 (H,wt=16): 8385 R(T(x,y),x \ y,T(x,z)) = (x \ y) \ y. [hyper(236,a,4175,a(flip),b,8355,a)]. given #7225 (H,wt=16): 8393 K(T(x,y \ z),y) != u | K(T(x,z),y) = u. [para(8084(a,2),8163(a,1))]. given #7226 (H,wt=16): 8406 K(T(x \ y,x),z) != u | K(y / x,z) = u. [para(7260(a,2),8184(a,1))]. given #7227 (H,wt=16): 8410 K((x * y) / x,z) != u | K(y,T(z,x)) = u. [para(8051(a,1),8190(a,1))]. given #7228 (H,wt=16): 8414 K(1 / ((x * y) \ x),z) != u | K(y,z) = u. [para(6291(a,2),8409(a,1))]. given #7229 (H,wt=16): 8417 K(x / (x / y),z) != u | K(y,T(z,x)) = u. [para(8052(a,1),8411(a,1))]. given #7230 (H,wt=16): 8419 K(x \ y,x) != z | K(T(x,u) \ y,x) = z. [para(5178(a,1),8415(a,1,1))]. given #7231 (H,wt=16): 8422 K((x \ 1) \ y,y) != z | K(x * y,y) = z. [para(5553(a,2),8418(a,1))]. given #7232 (H,wt=16): 8423 T(x,y * K(z,y)) != u | T(x,T(y,z)) = u. [para(4854(a,1),8241(a,1,2))]. given #7233 (H,wt=16): 8428 K(x * K(y,x),z) != u | K(x,T(z,y)) = u. [para(4854(a,1),8410(a,1,1))]. given #7234 (H,wt=16): 8429 K(K(x,y) * y,z) != u | K(y,T(z,x)) = u. [para(4902(a,1),8410(a,1,1))]. given #7235 (H,wt=17): 7860 (x * (y / z)) / (z \ y) = x * K(z,z \ y). [hyper(74,a,7544,a(flip),b,7644,a)]. given #7236 (H,wt=17): 7874 K(x * (y \ 1),y \ 1) = K(y \ x,y \ 1). [hyper(236,a,5559,a,b,7724,a(flip)),flip(a)]. given #7237 (H,wt=17): 7891 (K(x,y) * z) * K(y,K(x,z)) = z * K(x,y). [para(7885(a,1),95(a,1,2))]. given #7238 (H,wt=17): 7906 K(x,K(y,z)) * (z \ u) = T(z,K(x,y)) \ u. [para(7886(a,1),5204(a,1,1))]. given #7239 (H,wt=17): 7914 (x * K(y,K(z,u))) / u = x / T(u,K(y,z)). [para(7886(a,1),7557(a,1,1,2))]. given #7240 (H,wt=17): 7938 K(x,K(y,z)) * (z * K(y,x)) = K(y,x) * z. [para(7922(a,1),4817(a,1,1))]. given #7241 (H,wt=17): 7945 K(x,K(y,z)) * (z * u) = T(z,K(x,y)) * u. [para(7923(a,2),4906(a,1,1))]. given #7242 (H,wt=17): 7962 K(x,y) \ K(K(x,y),z) = T(K(x,y),z) \ 1. [hyper(72,a,7936,a,b,4828,a(flip))]. given #7243 (H,wt=17): 7963 x * (T(x,K(y,z)) \ u) = K(x,K(y,z)) * u. [para(7936(a,1),4859(a,2,1))]. given #7244 (H,wt=17): 7965 K(x,K(y,z)) * (x \ u) = T(x,K(y,z)) \ u. [para(7936(a,1),5204(a,1,1))]. given #7245 (H,wt=17): 7972 (x / y) * K(y,K(z,u)) = x / T(y,K(z,u)). [para(7936(a,1),7555(a,1,2))]. given #7246 (H,wt=17): 7978 K(x,K(y / z,T(u,z))) = K(x,K(u,z \ y)). [para(7312(a,2),7937(a,1,2))]. given #7247 (H,wt=17): 8007 T(x,T(y,z)) * K(y,z) = K(y,z) * T(x,y). [para(7982(a,1),5846(a,1,1))]. given #7248 (H,wt=17): 8010 T(x * K(y,z),T(y,z)) = T(K(y,z) * x,y). [para(7396(a,1),7995(a,1,1)),flip(a)]. given #7249 (H,wt=17): 8040 T(x,K(y,z)) * K(y,x) = x * K(y,T(x,z)). [para(7954(a,1),4856(a,1,2)),flip(a)]. given #7250 (H,wt=15): 8440 T(x * K(y,T(x,z)),y) = T(x,K(y,z)). [para(8040(a,1),7331(a,1,1))]. given #7251 (H,wt=15): 8441 T(x * T(K(y,x),z),y) = T(x,K(y,z)). [para(7256(a,1),8440(a,1,1,2))]. given #7252 (H,wt=17): 8055 T(K(x,L(T(y,z),u,w)),z) = K(x,L(y,u,w)). [para(40(a,2),8046(a,1,1,2))]. given #7253 (H,wt=17): 8064 K(R(T(x,y),z,u),T(w,y)) = K(R(x,z,u),w). [hyper(236,a,7311,a,b,8051,a(flip)),flip(a)]. given #7254 (H,wt=17): 8065 K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w). [hyper(236,a,7310,a,b,8051,a(flip)),flip(a)]. given #7255 (H,wt=17): 8073 K(K(x,y) * z,T(u,z)) = K(z * K(x,y),u). [hyper(236,a,7712,a(flip),b,8054,a(flip)),flip(a)]. given #7256 (H,wt=17): 8076 K(T(x,y),L(T(z,y),u,w)) = K(x,L(z,u,w)). [para(40(a,2),8054(a,1,2))]. given #7257 (H,wt=17): 8077 K(T(x,y),R(T(z,y),u,w)) = K(x,R(z,u,w)). [para(42(a,2),8054(a,1,2))]. given #7258 (H,wt=17): 8081 K(x \ y,T(z,(y * x) / y)) = K(y / x,z). [para(3915(a,1),8054(a,1,1))]. given #7259 (H,wt=17): 8082 K(x \ T(x * y,y),z) = K(y,T(z,x * y)). [para(3955(a,1),8054(a,1,1)),flip(a)]. given #7260 (H,wt=17): 8083 K(x \ T(y,x),T(z,x)) = K(y / T(x,y),z). [para(4111(a,1),8054(a,1,1))]. given #7261 (H,wt=15): 8453 K(T(x,y) / y,z) = K(x / T(y,x),z). [hyper(8184,a,8083,a)]. given #7262 (H,wt=17): 8088 T(T(x,y),T(z,y)) \ x = K(z,x) * K(y,x). [para(8054(a,1),5362(a,1,1)),flip(a)]. given #7263 (H,wt=17): 8097 (K(x,T(y,z)) * z) * u = (z * K(x,y)) * u. [para(8045(a,1),89(a,1,1,1))]. given #7264 (H,wt=17): 8103 K(x,T((y \ z) \ 1,y)) = K(x,(z / y) \ 1). [hyper(18,a,5787,a,b,8047,a)]. given #7265 (H,wt=17): 8106 K(x,T(T(y,z),u)) * z = z * K(x,T(y,u)). [para(38(a,1),8047(a,1,1,2))]. given #7266 (H,wt=17): 8111 T(K(x,y),z) * (z / y) = (z / y) * K(x,y). [para(6438(a,1),8047(a,1,1))]. given #7267 (H,wt=15): 8458 T(K(x,y),z) * (z / y) = z / T(y,x). [hyper(236,a,7555,a(flip),b,8111,a)]. given #7268 (H,wt=17): 8121 K(x \ y,T(T(z,x),u)) = K(y / x,T(z,u)). [hyper(236,a,7278,a,b,8061,a(flip)),flip(a)]. given #7269 (H,wt=17): 8122 (x \ y) * K(y / x,z) = T(x \ y,T(z,x)). [para(8061(a,1),7289(a,1,2))]. given #7270 (H,wt=17): 8150 T(T(x,y),y) * T(z,x) = z * T(T(x,y),y). [para(8147(a,1),119(a,1,2))]. given #7271 (H,wt=17): 8153 T(x,T(T(y \ z,u),y)) = T(x,T(z / y,u)). [para(183(a,1),8147(a,1,2,1))]. given #7272 (H,wt=17): 8168 T(x,K(y,1 / z) / z) = T(x,T(1 / z,y)). [para(2325(a,1),8154(a,1,2))]. given #7273 (H,wt=17): 8192 T(x / T(y,z),K(z,y)) = K(z,y) * (x / y). [para(6197(a,1),7984(a,1,2)),flip(a)]. given #7274 (H,wt=17): 8194 T(x * T(y,z),K(y,z)) = K(y,z) * (x * y). [para(7554(a,1),7984(a,1,2)),flip(a)]. given #7275 (H,wt=17): 8196 (K(x,y) * z) / T(x,y) = T(z,K(x,y)) / x. [hyper(74,a,7986,a(flip),b,7612,a),flip(a)]. given #7276 (H,wt=17): 8198 (T(x,y) \ z) * K(x,y) = T(x \ z,K(y,x)). [para(5204(a,1),7986(a,1,1))]. given #7277 (H,wt=17): 8214 R(x,K(y,z),T(u,K(y,w))) = R(x,K(y,z),u). [hyper(6769,a,8212,a)]. given #7278 (H,wt=17): 8215 K(x,K(y,T(x,z) * u)) = K(x,K(y,x * u)). [para(4906(a,1),8034(a,1,2,2))]. given #7279 (H,wt=17): 8238 K(x,(y / T(z,x)) * u) = K(x,(y / z) * u). [para(7555(a,1),8116(a,1,2,1))]. given #7280 (H,wt=17): 8247 K(x,T(y,z)) * (z * x) = (z * x) * K(x,y). [hyper(236,a,6201,a,b,8156,a)]. given #7281 (H,wt=13): 8467 K(x,T(y,z * x)) = K(x,T(y,z)). [hyper(18,a,8047,a,b,8247,a),flip(a)]. given #7282 (H,wt=13): 8471 K(x,T(y,z / x)) = K(x,T(y,z)). [para(16(a,1),8467(a,1,2,2)),flip(a)]. given #7283 (H,wt=13): 8473 K(x,T(y,z / x)) = T(K(x,y),z). [hyper(236,a,7256,a(flip),b,8471,a)]. given #7284 (H,wt=15): 8474 K(x,T(y,z \ 1)) = K(x,T(y,z \ x)). [para(4184(a,1),8471(a,1,2))]. given #7285 (H,wt=15): 8475 T(x,T(y,z / x)) = x * T(K(x,y),z). [para(8473(a,1),4887(a,2,2))]. given #7286 (H,wt=13): 8476 T(x,T(y,z / x)) = T(x,T(y,z)). [hyper(236,a,7289,a(flip),b,8475,a)]. given #7287 (H,wt=16): 8470 K(L(x,y,x),T(z,u)) = K(x,T(z,u * x)). [hyper(236,a,8282,a,b,8467,a),flip(a)]. given #7288 (H,wt=16): 8477 K(L(x,y,x),z) = K(x,T(T(z,u),u * x)). [hyper(8174,a,8470,a)]. given #7289 (H,wt=17): 8260 T(x,1 / T(T(y,z),z)) = x / K(1 / y,x). [para(8222(a,1),4840(a,2,2))]. given #7290 (H,wt=15): 8478 T(x,1 / T(T(y,z),z)) = T(x,1 / y). [hyper(236,a,4840,a,b,8260,a)]. given #7291 (H,wt=17): 8270 (x * (y * K(x,z))) * x = (x * y) * T(x,z). [para(8232(a,1),6188(a,1,1))]. given #7292 (H,wt=17): 8294 R(x / y,z,x / y) = R(x / y,z,y \ x). [para(121(a,1),8275(a,1,3)),flip(a)]. given #7293 (H,wt=17): 8329 T(T(x,y / z),K(y,y / z)) = T(x,z \ y). [hyper(236,a,7982,a,b,8308,a(flip)),flip(a)]. given #7294 (H,wt=17): 8333 K(x * y,T(z,T(x,y))) = K(x * y,T(z,x)). [para(8310(a,1),7808(a,1,2))]. given #7295 (H,wt=17): 8334 T(K(x,y \ z),T(y,z)) = T(K(x,y \ z),y). [hyper(236,a,7145,a(flip),b,8313,a(flip))]. given #7296 (H,wt=17): 8354 T(x,y) \ L(T(x,y),z,x) = x \ L(x,z,x). [hyper(72,a,8290,a(flip),b,4857,a)]. given #7297 (H,wt=17): 8356 L(x,y,x) * (x \ z) = (z / x) * L(x,y,x). [para(121(a,1),8305(a,1,2))]. given #7298 (H,wt=17): 8358 (x / R(y,z,y)) * y = y * (R(y,z,y) \ x). [para(8311(a,1),119(a,1,2)),flip(a)]. given #7299 (H,wt=17): 8360 R(x,y,x) * (x \ z) = (z / x) * R(x,y,x). [para(121(a,1),8312(a,1,2))]. given #7300 (H,wt=17): 8377 K((x / (y \ 1)) \ z,x) = K(y \ (x \ z),x). [hyper(236,a,6630,a,b,8318,a(flip)),flip(a)]. given #7301 (H,wt=17): 8382 T(x \ K(x,y),T(x,z)) = T(x \ K(x,y),x). [para(8351(a,1),7995(a,1,1)),flip(a)]. given #7302 (H,wt=17): 8433 K(x,K(y,z)) * (z / K(x,y)) = K(y,x) * z. [para(7547(a,2),7938(a,1,2))]. given #7303 (H,wt=17): 8439 T(x,K(y,z)) * K(y,x) = x * T(K(y,x),z). [hyper(236,a,7276,a(flip),b,8040,a)]. given #7304 (H,wt=17): 8443 K(x,L(T(T(y,z),z),u,w)) = K(x,L(y,u,w)). [hyper(236,a,7280,a,b,8055,a(flip)),flip(a)]. given #7305 (H,wt=17): 8450 K(x \ y,T(z,x * K(y,x))) = K(y / x,z). [para(4854(a,1),8081(a,1,2,2))]. given #7306 (H,wt=17): 8455 (K(x,y) * T(x,z)) \ x = K(z,x) * K(y,x). [para(8155(a,1),8088(a,1,1))]. given #7307 (H,wt=17): 8459 K(x,y) * (K(z,y) / y) = K(z,y) / T(y,x). [para(5850(a,1),8458(a,1,1))]. given #7308 (H,wt=17): 8460 K(x / y,T(z,x \ y)) = K(y \ x,T(z,y)). [hyper(236,a,7349,a(flip),b,8121,a(flip))]. given #7309 (H,wt=15): 8493 K(x / y,T(z,x \ y)) = K(x / y,z). [hyper(236,a,8068,a(flip),b,8460,a)]. given #7310 (H,wt=17): 8463 T(x * T(y,z),K(y,z)) = T(y,z) * T(x,y). [hyper(236,a,5180,a(flip),b,8194,a)]. given #7311 (H,wt=17): 8468 K(x,T(y \ (z * x),z)) = K(x,(z * x) / y). [hyper(18,a,6426,a,b,8247,a)]. given #7312 (H,wt=17): 8479 T(x,1 / T(y \ z,y)) = T(x,1 / (z / y)). [para(121(a,1),8478(a,1,2,2,1))]. given #7313 (H,wt=17): 8484 K(((x \ 1) \ y) \ z,y) = K(x \ (y \ z),y). [hyper(6560,a,8377,a)]. given #7314 (H,wt=17): 8495 K((x \ 1) \ (y \ z),y) = K((x \ y) \ z,y). [hyper(236,a,5741,a(flip),b,8484,a(flip))]. given #7315 (H,wt=18): 7137 T(x,y) * K(y,z) != u | T(x * K(y,z),y) = u. [para(7132(a,1),6206(a,1))]. given #7316 (H,wt=18): 7143 T(x / y,T(y,z)) != u | T(y \ x,K(y,z)) = u. [para(7138(a,1),668(a,1))]. given #7317 (H,wt=18): 7195 (K(x,y) * z) * x != u | K(x,y) * (z * x) = u. [para(7192(a,1),219(a,1,2))]. given #7318 (H,wt=18): 7327 K(x,T(y,z)) \ u != w | K(y,T(x,z)) * u = w. [para(7260(a,1),5286(a,1,1))]. given #7319 (H,wt=18): 7397 T(x * K(y,z),K(z,y)) != u | K(y,z) * x = u. [para(7222(a,1),5847(a,1,1)),flip(b)]. given #7320 (H,wt=18): 7423 K(x,L(L(y,z,K(u,x)),w,v5)) = K(x,L(y,w,v5)). [para(45(a,1),7420(a,1,2))]. given #7321 (H,wt=18): 7428 T(x,K(x,y) * z) != u * w | u \ T(x,z) = w. [para(7415(a,2),4891(a,1))]. given #7322 (H,wt=18): 7452 T(T(x,y),z) != u * T(x,y) | K(x,T(z,y)) = u. [para(7321(a,1),20(a,1))]. given #7323 (H,wt=18): 7455 T(T(x,y),z) != u * T(x,z) | K(x,T(y,z)) = u. [para(7328(a,1),20(a,1))]. given #7324 (H,wt=18): 7457 x * K(y,z) != u * x | K((x * y) / x,z) = u. [para(7337(a,1),20(a,1))]. given #7325 (H,wt=18): 7469 R(K(x,y),y * K(z,x),u) = K(x,y * K(z,x)). [para(7459(a,1),6817(a,1,1))]. given #7326 (H,wt=14): 8499 K(x,y * K(z,x)) != u | K(x,y) = u. [para(7469(a,1),343(a,1)),flip(b)]. given #7327 (H,wt=14): 8500 K(x,y * x) != z | K(x,x * y) = z. [para(95(a,1),8499(a,1,2))]. given #7328 (H,wt=16): 8498 K(x,R(y,K(z,x),u)) = K(x,y * K(z,x)). [hyper(236,a,6824,a(flip),b,7469,a(flip)),flip(a)]. given #7329 (H,wt=12): 8506 K(x,R(y,K(z,x),u)) = K(x,y). [hyper(236,a,7459,a(flip),b,8498,a)]. given #7330 (H,wt=16): 8501 K(x,y * T(z,x)) != u | K(x,y * z) = u. [para(1251(a,1),8499(a,1,2))]. given #7331 (H,wt=16): 8502 K(x,y \ T(z,x)) != u | K(x,y \ z) = u. [para(1249(a,1),8499(a,1,2))]. given #7332 (H,wt=16): 8504 K(x,(y \ 1) \ x) != z | K(x,x * y) = z. [para(6602(a,2),8500(a,1))]. given #7333 (H,wt=17): 8505 K(L(x,y,z),y * x) != u | K(x,x * y) = u. [para(7753(a,2),8500(a,1))]. given #7334 (H,wt=18): 7474 R(K(x,y),x * K(z,y),u) = K(x * K(z,y),y). [para(7470(a,1),3968(a,1,1))]. given #7335 (H,wt=16): 8509 K(R(x,K(y,z),u),z) = K(x * K(y,z),z). [hyper(236,a,6678,a(flip),b,7474,a(flip)),flip(a)]. given #7336 (H,wt=12): 8510 K(R(x,K(y,z),u),z) = K(x,z). [hyper(236,a,7470,a(flip),b,8509,a)]. given #7337 (H,wt=18): 7489 L(K(x,y),K(y,z) * x,u) = K(K(y,z) * x,y). [para(7485(a,1),6235(a,1,1))]. given #7338 (H,wt=16): 8513 K(L(x,K(y,z),u),y) = K(K(y,z) * x,y). [hyper(236,a,6579,a(flip),b,7489,a(flip)),flip(a)]. given #7339 (H,wt=12): 8514 K(L(x,K(y,z),u),y) = K(x,y). [hyper(236,a,7485,a(flip),b,8513,a)]. given #7340 (H,wt=18): 7517 x * K(y,x \ z) != u * x | K(y,z / x) = u. [para(7355(a,1),20(a,1))]. given #7341 (H,wt=18): 7519 x * K(y,x \ z) != u | T(z / x,y) \ z = u. [para(7355(a,1),5614(a,1))]. given #7342 (H,wt=18): 7522 T(x,T(y \ 1,z)) != u | T(x,(y * z) \ z) = u. [para(7363(a,1),6457(a,1))]. given #7343 (H,wt=18): 7543 T(K(x,y) * z,K(x,y)) != u | z * K(x,y) = u. [para(7396(a,1),5847(a,1,1)),flip(b)]. given #7344 (H,wt=18): 7575 (x * (y * z)) * K(z,L(y,z,x)) = x * (z * y). [hyper(236,a,6581,a(flip),b,7547,a(flip))]. given #7345 (H,wt=18): 7579 (x * K(y,z)) * K(z,y) != u * w | x / w = u. [para(7547(a,1),302(a,1))]. given #7346 (H,wt=18): 7653 x \ (y * K(z,x)) != u | T(y / T(x,z),x) = u. [para(7612(a,1),284(a,1,2))]. given #7347 (H,wt=18): 7657 R(x * K(y,z),K(u,w),u) = (x * z) / T(z,y). [hyper(236,a,6189,a,b,7626,a),flip(a)]. given #7348 (H,wt=18): 7666 x * K(y,T(z,u)) != w | w * K(z,T(y,u)) = x. [para(7260(a,1),7559(a,1,2))]. given #7349 (H,wt=18): 7669 (x * T(x \ y,z)) \ y != u | K(z,x \ y) = u. [para(6219(a,2),7560(a,1,1))]. given #7350 (H,wt=18): 7671 x / K(y,T(z,u)) != w | x * K(z,T(y,u)) = w. [para(7260(a,1),7561(a,1,2))]. given #7351 (H,wt=18): 7672 (x / ((y * z) / y)) * K(y,z) != u | x / z = u. [para(6359(a,2),7577(a,1,1)),flip(b)]. given #7352 (H,wt=18): 7674 T(x,K(y,z)) * K(z,y) != u | K(z,y) * x = u. [para(7395(a,1),7577(a,1,1)),flip(b)]. given #7353 (H,wt=18): 7693 K(x,y) * (z * x) != z * u | T(x,T(y,z)) = u. [para(7520(a,2),19(a,1))]. given #7354 (H,wt=18): 7699 K(x,y) != z * K(x,u) | K(u,x) * K(x,y) = z. [para(7538(a,1),20(a,1))]. given #7355 (H,wt=18): 7745 x * K(y,z) != u * (z * K(y,z)) | u * z = x. [para(7701(a,1),20(a,1)),flip(a)]. given #7356 (H,wt=18): 7751 L(K(x,y \ z),y \ z,u) = K(x,(z \ y) \ 1). [hyper(236,a,6408,a,b,7743,a)]. given #7357 (H,wt=18): 7761 L(K(x,y),T(y,z),u) \ (y * w) = T(y,x) * w. [para(7758(a,2),5188(a,1,1))]. given #7358 (H,wt=18): 7766 K(x \ (y * z),z) != u | K((y \ x) \ z,z) = u. [para(6568(a,1),7763(a,1))]. given #7359 (H,wt=18): 7770 (x * K(y,z)) * z != u | x * (z * K(y,z)) = u. [para(7707(a,1),216(a,1,2)),flip(b)]. given #7360 (H,wt=18): 7786 x * K(y,z) != u | (x / z) * ((y * z) / y) = u. [para(7740(a,1),5059(a,1))]. given #7361 (H,wt=18): 7801 T(x / (x / y),z) \ x != u | x / T(y,z) = u. [para(7790(a,1),282(a,1,1)),flip(b)]. given #7362 (H,wt=18): 7811 K(x,T(y,z * L(K(u,x),w,v5))) = K(x,T(y,z)). [para(5909(a,1),7809(a,1,2,2,2))]. given #7363 (H,wt=18): 7818 K(x,T(y,z) \ 1) != u | K(x,T(y \ 1,z)) = u. [para(5644(a,2),7817(a,1))]. given #7364 (H,wt=18): 7819 K(T(x,y) \ 1,z) != u | K(x \ 1,T(z,y)) = u. [para(5675(a,2),7817(a,1))]. given #7365 (H,wt=18): 7822 K(((x \ 1) * y) \ y,z) != u | K(x,T(z,y)) = u. [para(6504(a,2),7817(a,1))]. given #7366 (H,wt=18): 7828 K(x,y \ (z \ y)) != u | K(x,T(z \ 1,y)) = u. [para(7376(a,1),7823(a,1))]. given #7367 (H,wt=18): 7833 K(x \ (y \ (z * y)),y) != u | K(x \ z,y) = u. [para(32(a,1),7503(a,1,1,2))]. given #7368 (H,wt=15): 8529 K((x \ y) \ z,x) = K(y \ (z * x),x). [hyper(7833,a,8379,a)]. given #7369 (H,wt=15): 8530 K((x * y) \ (z * y),y) = K(x \ z,y). [hyper(7833,a,8378,a(flip)),flip(a)]. given #7370 (H,wt=15): 8533 K(x \ ((y \ z) * y),y) = K(x \ z,y). [hyper(236,a,8379,a(flip),b,8529,a(flip))]. given #7371 (H,wt=15): 8534 K(x \ (y * z),z) = K(x \ (z * y),z). [hyper(236,a,8320,a(flip),b,8529,a(flip))]. given #7372 (H,wt=15): 8535 K((x / y) \ z,y) = K(x \ (z * y),y). [para(16(a,1),8530(a,1,1,1)),flip(a)]. given #7373 (H,wt=18): 7841 L(L(K(x,y),z * y,u),y,w) = K(x,L(y,z,u)). [hyper(236,a,6584,a(flip),b,7754,a)]. given #7374 (H,wt=16): 8537 L(K(x,L(y,z,u)),y,w) = K(x,L(y,z,u)). [para(6584(a,1),7841(a,1,1))]. given #7375 (H,wt=11): 8538 a(x,y,K(z,L(y,u,w))) = 1. [hyper(34,a,8537,a)]. given #7376 (H,wt=18): 7844 x * (T(x,y) \ (1 / x)) != z | 1 / T(x,y) = z. [para(4859(a,2),7839(a,1))]. given #7377 (H,wt=18): 7888 K(x,y) * K(x,K(y,z)) != u | K(x,T(y,z)) = u. [para(7881(a,2),7817(a,1))]. given #7378 (H,wt=18): 7895 K(x,K(y,z)) \ K(y,x) != u | T(K(y,x),z) = u. [para(7885(a,1),4864(a,1,1))]. given #7379 (H,wt=18): 7904 K(x,y) * K(x,K(y,z)) != u | T(K(x,y),z) = u. [para(7886(a,1),4890(a,1,2))]. given #7380 (H,wt=14): 8540 K(x,T(y,z)) != u | T(K(x,y),z) = u. [para(7883(a,1),7904(a,1))]. given #7381 (H,wt=14): 8543 K(T(x,y),z) != u | T(K(x,z),y) = u. [para(7260(a,2),8540(a,1))]. given #7382 (H,wt=16): 8542 K(x,T(y,y \ z)) != u | T(K(x,y),z) = u. [para(7238(a,2),8540(a,1))]. given #7383 (H,wt=16): 8544 K(T(x,x \ y),z) != u | T(K(x,z),y) = u. [para(7211(a,2),8543(a,1))]. given #7384 (H,wt=18): 7905 K(x,K(y,z)) * K(x,y) != u | T(K(x,y),z) = u. [para(7886(a,1),4898(a,1,1))]. given #7385 (H,wt=18): 7966 K(x,K(y,z)) * (K(x,K(y,z)) * u) != w | w = u. [para(7936(a,1),5271(a,1,1))]. given #7386 (H,wt=18): 7967 K(x,K(y,z)) * u != w | K(x,K(y,z)) \ u = w. [para(7936(a,1),5283(a,1,1))]. given #7387 (H,wt=18): 7968 K(x,K(y,z)) * u != w | K(x,K(y,z)) * w = u. [para(7936(a,1),5285(a,1,1))]. given #7388 (H,wt=18): 7969 K(x,K(y,z)) \ u != w | K(x,K(y,z)) * u = w. [para(7936(a,1),5286(a,1,1))]. given #7389 (H,wt=18): 7973 x / K(y,K(z,u)) != w | x * K(y,K(z,u)) = w. [para(7936(a,1),7561(a,1,2))]. given #7390 (H,wt=18): 7974 (x * K(y,K(z,u))) * K(y,K(z,u)) != w | w = x. [para(7936(a,1),7577(a,1,1,2))]. given #7391 (H,wt=18): 7991 T(T(x,K(y,z)),u) != w | T(T(x,u),K(z,y)) = w. [para(7981(a,1),417(a,1,1))]. given #7392 (H,wt=18): 8000 K(x,y) * z != u * K(x,y) | T(z,K(x,y)) = u. [para(7983(a,1),172(a,1,2)),flip(b)]. given #7393 (H,wt=18): 8005 T(x,K(y,z)) != u | T(y,K(z,x)) * (y \ x) = u. [para(7934(a,1),5618(a,1))]. given #7394 (H,wt=18): 8015 K(x,K(y,T(z,u))) != w | K(x,K(z,T(y,u))) = w. [para(7260(a,1),7971(a,1,2))]. given #7395 (H,wt=18): 8020 x * T(y,T(x,z)) != u | T(y * x,K(z,x)) = u. [para(6466(a,1),8002(a,1))]. given #7396 (H,wt=18): 8024 K(x,T(y,z)) != K(x,y) * u | K(x,K(y,z)) = u. [para(7883(a,1),19(a,1))]. given #7397 (H,wt=18): 8026 K(x,T(y,z)) != u | K(x,y) * K(x,K(y,z)) = u. [para(7901(a,1),5870(a,1))]. given #7398 (H,wt=18): 8036 K(x,K(y,T(z,u))) != w | K(z,K(y,T(x,u))) = w. [para(7953(a,1),7921(a,1))]. given #7399 (H,wt=18): 8037 K(x,K(y,T(z,u))) != w | K(z,K(T(x,u),y)) = w. [para(7953(a,1),7960(a,1))]. given #7400 (H,wt=18): 8043 K(x,y) * K(y,T(x,z)) != u | K(x,K(y,z)) = u. [para(7956(a,1),5271(a,1,2)),flip(b)]. given #7401 (H,wt=18): 8172 K(x \ y,T(z,y / x)) != u | K(x \ y,z) = u. [para(6343(a,1),8048(a,1))]. given #7402 (H,wt=18): 8180 K(x,y / (x \ z)) != u | K(x,y / (z / x)) = u. [para(7553(a,1),8115(a,1,2))]. given #7403 (H,wt=18): 8197 T(K(x,y) \ z,K(x,y)) != u | z * K(y,x) = u. [para(7986(a,1),515(a,1))]. given #7404 (H,wt=18): 8201 T(x,K(y,z)) * K(y,z) != u | K(y,z) * x = u. [para(7986(a,1),7577(a,1,1)),flip(b)]. given #7405 (H,wt=18): 8205 x * K(y,z) != u | T(K(y,z) * x,K(y,z)) = u. [para(7988(a,1),8002(a,1))]. given #7406 (H,wt=18): 8218 K(x,K(y,z)) * K(y,x) != u | K(y,T(x,z)) = u. [para(8038(a,1),7577(a,1,1)),flip(b)]. given #7407 (H,wt=18): 8219 K(x,y) * K(y,K(x,z)) != u | K(x,T(y,z)) = u. [para(8039(a,1),5271(a,1,2)),flip(b)]. given #7408 (H,wt=18): 8220 K(x,y) * K(z,K(x,y)) != u | K(x,T(y,z)) = u. [para(8044(a,1),5271(a,1,2)),flip(b)]. given #7409 (H,wt=18): 8223 K(1 / x,T(y,z)) != u | K(1 / T(x,z),y) = u. [para(8062(a,1),8048(a,1))]. given #7410 (H,wt=18): 8224 T(T(x,y),T(z,y)) != u | K(x,y) * T(x,z) = u. [para(8071(a,2),5522(a,1))]. given #7411 (H,wt=18): 8226 (x * K(y,z)) / (y \ x) != u | T(y,T(z,x)) = u. [para(8101(a,1),296(a,1,1)),flip(b)]. given #7412 (H,wt=18): 8235 K(x \ y,z) \ (y * K(y / x,z)) != u | u = y. [para(8113(a,1),283(a,1,2))]. given #7413 (H,wt=18): 8246 T(T(x,y),T(z,y)) != u | K(x,z) * T(x,y) = u. [para(8155(a,2),5522(a,1))]. given #7414 (H,wt=18): 8283 (x * y) * K(x,z) != u | x * (y * K(x,z)) = u. [para(8263(a,1),219(a,1,2))]. given #7415 (H,wt=18): 8288 K(L(x,y,z),L(u,w,x)) = L(K(x,u),y * x,z). [para(8281(a,1),6579(a,1,1)),flip(a)]. given #7416 (H,wt=16): 8550 K(L(x,y,z),L(u,w,x)) = K(L(x,y,z),u). [hyper(236,a,6579,a(flip),b,8288,a)]. given #7417 (H,wt=18): 8332 T(x,y \ T(x,z)) != u | T(x,T(x,z) / y) = u. [para(8308(a,1),7149(a,1))]. given #7418 (H,wt=18): 8343 K(x,(x * y) \ (x * z)) != u | K(x,y \ z) = u. [para(6593(a,1),8338(a,1))]. given #7419 (H,wt=18): 8344 K(x,(x * y) \ z) != u | K(x,y \ (x \ z)) = u. [para(6594(a,1),8338(a,1))]. given #7420 (H,wt=18): 8394 K(x / y,y \ z) != u | K(y \ x,z / y) = u. [para(8061(a,1),8170(a,1))]. given #7421 (H,wt=18): 8395 K(((x \ y) \ y) \ y,z) != u | K(y / x,z) = u. [para(7264(a,2),8171(a,1))]. given #7422 (H,wt=18): 8400 K(x \ 1,T(y,z)) != u | K(z \ (x \ z),y) = u. [para(5706(a,1),8178(a,1))]. given #7423 (H,wt=18): 8420 K(K(x,y) * z,T(x,u)) != w | K(z,T(x,u)) = w. [para(8054(a,1),8415(a,1,1,1))]. given #7424 (H,wt=18): 8445 K(K(R(x,y,z),u) * w,T(x,v5)) = K(w,T(x,v5)). [para(8064(a,1),7507(a,1,1,1))]. given #7425 (H,wt=18): 8457 K(x,T((y \ z) \ 1,y)) != u | K(x,y / z) = u. [para(8103(a,2),5871(a,1))]. given #7426 (H,wt=18): 8469 K(x,T(y,z)) * (z * x) != u | z * T(x,y) = u. [para(8247(a,2),6258(a,1))]. given #7427 (H,wt=18): 8496 K(T(x,y),z) * u != w | K(x,T(z,y)) * u = w. [para(5260(a,1),7327(a,1))]. given #7428 (H,wt=18): 8497 T(x,y * K(x,z)) != u * w | u \ T(x,y) = w. [para(8047(a,1),7428(a,1,2))]. given #7429 (H,wt=16): 8556 T(x,T(y,x)) != z * u | z \ T(x,y) = u. [para(8154(a,1),8497(a,1))]. given #7430 (H,wt=18): 8503 K(x,y * (x \ z)) != u | K(x,y * (z / x)) = u. [para(6448(a,1),8499(a,1,2))]. given #7431 (H,wt=18): 8508 K(x,R(R(y,K(z,x),u),w,v5)) = K(x,R(y,w,v5)). [para(46(a,1),8506(a,1,2))]. given #7432 (H,wt=18): 8512 K(R(R(x,K(y,z),u),w,v5),z) = K(R(x,w,v5),z). [para(46(a,1),8510(a,1,1))]. given #7433 (H,wt=18): 8517 T(x,K(y,z)) != u | (K(z,y) * x) * K(y,z) = u. [para(5268(a,1),7543(a,1,1))]. given #7434 (H,wt=18): 8525 x * K(T(y,z),u) != w | x * K(y,T(u,z)) = w. [para(7547(a,1),7671(a,1))]. given #7435 (H,wt=18): 8527 L(K(x,y),T(y,z),u) \ w = T(y,x) * (y \ w). [para(14(a,1),7761(a,1,2))]. given #7436 (H,wt=18): 8531 K((x * y) \ (z * y),y) != u | K(x \ z,y) = u. [para(8378(a,2),7833(a,1))]. given #7437 (H,wt=18): 8532 K(x \ (y * z),z) != u | K((z \ x) \ y,z) = u. [para(8379(a,1),7833(a,1))]. given #7438 (H,wt=18): 8545 T(x,K(y,z)) * z != u | T(x * z,K(y,z)) = u. [para(7996(a,2),8020(a,1))]. given #7439 (H,wt=18): 8546 x * K(y,1 / y) != z | K(y,1 / y) * x = z. [para(2508(a,1),8201(a,1,1))]. given #7440 (H,wt=18): 8547 T(K(1 / x,y),z) != u | K(1 / T(x,z),y) = u. [para(7256(a,1),8223(a,1))]. given #7441 (H,wt=18): 8549 T(x,T(y,z)) * z != u | x * (z * K(x,y)) = u. [para(8089(a,2),8283(a,1))]. given #7442 (H,wt=18): 8553 K(x,T(y \ 1,z)) != u | K(x,z / (z * y)) = u. [para(13(a,1),8457(a,1,2,1,1))]. given #7443 (H,wt=15): 8563 K(x,y / (y * z)) = K(x,y \ (z \ y)). [hyper(8553,a,7525,a)]. given #7444 (H,wt=18): 8554 K(x,((y \ z) * y) \ y) != u | K(x,y / z) = u. [para(7446(a,1),8457(a,1))]. given #7445 (H,wt=18): 8555 T(K(x,y),z) * u != w | K(x,T(y,z)) * u = w. [para(7244(a,1),8496(a,1,1))]. given #7446 (H,wt=18): 8557 T(x,T(y,x)) != z * u | T(z,u) = u \ T(x,y). [para(119(a,1),8556(a,2)),flip(b)]. given #7447 (H,wt=18): 8558 T(x,x / (x / y)) != z * u | z \ T(x,y) = u. [para(8363(a,2),8556(a,1))]. given #7448 (H,wt=18): 8559 x * T(K(y,z),u) != w | x * K(y,T(z,u)) = w. [para(7244(a,1),8525(a,1,2))]. given #7449 (H,wt=18): 8562 K((x * y) \ z,y) != u | K(x \ (y \ z),y) = u. [para(8533(a,1),8531(a,1))]. given #7450 (H,wt=18): 8564 K(x,T(1 / y,z)) != u | K(x,z / (z * y)) = u. [para(5240(a,2),8553(a,1))]. given #7451 (H,wt=18): 8565 K(x,y \ (z \ y)) != u | K(x,y / (y * z)) = u. [para(7525(a,1),8553(a,1))]. given #7452 (H,wt=18): 8568 K((x * y) \ z,x) != u | K(y \ (x \ z),x) = u. [para(6511(a,1),8562(a,1))]. given #7453 (H,wt=19): 7198 (K(x,y) * z) / T(x,u) = K(x,y) * (z / T(x,u)). [para(7192(a,1),742(a,1,2,1))]. given #7454 (H,wt=19): 7203 (K(x,y) * z) * K(u,x) = K(x,y) * (z * K(u,x)). [para(7192(a,1),6586(a,1,2,2))]. given #7455 (H,wt=19): 7212 T(x * y,x) * K(x,y) = (y \ T(x * y,x)) * y. [para(7208(a,1),4235(a,1,2))]. given #7456 (H,wt=19): 7216 x * K(R(x,y,x),z) != u * w | u \ T(x,z) = w. [para(7208(a,2),4891(a,1,2))]. given #7457 (H,wt=19): 7217 K(x,y) * (R(x,z,x) * u) = R(T(x,y),z,x) * u. [para(7208(a,1),5253(a,1,1))]. given #7458 (H,wt=19): 7221 (K(x,y) * z) * K(x,u) = K(x,y) * (z * K(x,u)). [para(7201(a,1),103(a,1,2))]. given #7459 (H,wt=19): 7224 K((K(x,y) * z) \ (K(x,y) * u),x) = K(z \ u,x). [hyper(6566,a,7202,a)]. given #7460 (H,wt=19): 7230 T(x,T((y * x) / z,u)) = T(x,T(y / (z / x),u)). [para(735(a,1),7225(a,1,2))]. given #7461 (H,wt=19): 7234 R((x * y) / x,z,y) \ y = R(y,z,y) \ T(y,x). [hyper(72,a,7213,a(flip),b,6740,a),flip(a)]. given #7462 (H,wt=19): 7243 K(x,(K(y,x) * z) \ u) = K(x,z \ (K(x,y) * u)). [para(5289(a,1),7219(a,1,2)),flip(a)]. given #7463 (H,wt=19): 7254 K(x,T(y \ 1,L(y,z,u))) != w | K(x,y \ 1) = w. [para(1697(a,1),7236(a,1,2))]. given #7464 (H,wt=19): 7262 R(T(K(x,y),z),y * u,w) = K(x,T(R(y,u,w),z)). [hyper(236,a,6832,a,b,7256,a),flip(a)]. given #7465 (H,wt=19): 7293 K(x,T(y,K(z,u))) * K(u,z) = K(u,z) * K(x,y). [para(7256(a,2),5846(a,1,1))]. given #7466 (H,wt=19): 7295 K(x,K(y,z)) * (K(z,y) * u) = K(z,T(y,x)) * u. [para(7256(a,2),5843(a,2,1))]. given #7467 (H,wt=19): 7299 K(x,T(L(y,z / y,u),w)) = T(L(K(x,y),z,u),w). [para(6582(a,1),7256(a,2,1))]. given #7468 (H,wt=19): 7324 T(x,y) * (z * K(x,T(z,y))) = T(T(x,y),z) * z. [para(7260(a,1),4924(a,1,2,2))]. given #7469 (H,wt=19): 7347 (x \ y) / K(x,T(z,T(x,z) \ y)) = T(x,z) \ y. [hyper(74,a,5178,a(flip),b,7281,a)]. given #7470 (H,wt=15): 8577 (x \ y) / K(x,T(z,y)) = T(x,z) \ y. [para(7425(a,1),7347(a,1,2))]. given #7471 (H,wt=15): 8578 (x \ y) * K(z,T(x,y)) = T(x,z) \ y. [hyper(7671,a,8577,a)]. given #7472 (H,wt=15): 8579 (x \ 1) * K(y,1 \ x) = T(x,y) \ 1. [para(117(a,2),8578(a,1,2,2))]. given #7473 (H,wt=19): 7354 x * K(y,L(T(z,x),u,w)) = K(y,L(z,u,w)) * x. [para(40(a,2),7281(a,1,2,2))]. given #7474 (H,wt=19): 7361 K(x,T(y,z)) * T(z,K(x,y)) = z * K(x,T(y,z)). [para(7288(a,1),119(a,1,2))]. given #7475 (H,wt=19): 7382 K(x,R(T(y,x \ z),u,w)) = K(x,T(R(y,u,w),z)). [para(42(a,2),7367(a,1,2))]. given #7476 (H,wt=19): 7386 T(L(K(x,y),z,u),x * w) = L(K(x,T(y,w)),z,u). [para(7368(a,1),40(a,1,1)),flip(a)]. given #7477 (H,wt=18): 8583 L(K(x,T(y,z)),x,u) = (x * z) \ (T(x,y) * z). [hyper(6452,a,7386,a),flip(a)]. given #7478 (H,wt=19): 7405 (K(x,y) * z) * K(u,y) = K(x,y) * (z * K(u,y)). [para(7400(a,1),6586(a,1,2,2))]. given #7479 (H,wt=19): 7421 (K(x,y) * z) * K(y,u) = K(x,y) * (z * K(y,u)). [para(7403(a,1),103(a,1,2))]. given #7480 (H,wt=19): 7438 K(x / y,(x / y) \ z) = K(x / y,(y \ x) \ z). [para(121(a,1),7433(a,1,2,1)),flip(a)]. given #7481 (H,wt=19): 7491 K(x * K(y / z,u),y) = K(x * K(z \ y,u),y). [para(6271(a,1),7472(a,1,1,2)),flip(a)]. given #7482 (H,wt=19): 7494 K(L(T(x,y),z,u) * w,y) = K(L(x,z,u) * w,y). [para(40(a,2),7477(a,1,1,1))]. given #7483 (H,wt=19): 7495 K((x / (x / y)) * z,x / y) = K(y * z,x / y). [para(186(a,1),7477(a,1,1,1)),flip(a)]. given #7484 (H,wt=15): 8588 K(x * y,1 / y) = K(y * x,1 / y). [hyper(236,a,7090,a(flip),b,7495,a(flip)),flip(a)]. given #7485 (H,wt=15): 8589 K((x \ y) * x,1 / x) = K(y,1 / x). [para(14(a,1),8588(a,2,1))]. given #7486 (H,wt=19): 7497 (T(x,y) * z) * K(x * z,x) = T(T(x,y) * z,x). [para(7483(a,1),4887(a,2,2)),flip(a)]. given #7487 (H,wt=19): 7527 T(x * K(y,x),T(z,T(x,u))) = T(x * K(y,x),z). [para(4853(a,1),7526(a,1,2,2,1))]. given #7488 (H,wt=19): 7535 T(K(x,y) * z,T(z,K(y,x))) = T(K(x,y) * z,z). [para(5266(a,1),7534(a,1,2,2))]. given #7489 (H,wt=19): 7552 L(x,y,z) * K(x,1 / x) = L((x \ 1) \ 1,y,z). [hyper(18,a,6738,a,b,7540,a)]. given #7490 (H,wt=19): 7589 (x * ((y \ (x \ z)) * y)) \ z = K(y,(x * y) \ z). [para(6307(a,1),7549(a,1,1))]. given #7491 (H,wt=19): 7590 K(x,R(y,y \ z,u)) = (w * R(K(y,x),z,u)) \ w. [para(6676(a,1),7549(a,1,1,2)),flip(a)]. given #7492 (H,wt=17): 8591 (x * R(K(y,z),u,w)) \ x = R(K(z,y),u,w). [hyper(236,a,6815,a(flip),b,7590,a(flip))]. given #7493 (H,wt=17): 8592 (x * R(K(y,z),u,w)) * R(K(z,y),u,w) = x. [para(8591(a,1),14(a,1,2))]. given #7494 (H,wt=17): 8593 x / R(K(y,z),u,w) = x * R(K(z,y),u,w). [para(8591(a,1),62(a,1,2))]. given #7495 (H,wt=19): 7601 K(x \ y,z / (y / x)) = K(x \ y,z / (x \ y)). [para(6360(a,1),7573(a,1,2))]. given #7496 (H,wt=19): 7633 (x / T(y,z)) * T(y,u) = (x * K(z,y)) * K(y,u). [para(7557(a,1),6200(a,1,1))]. given #7497 (H,wt=19): 7642 (x * (y \ z)) * T(y,y \ z) = (x * (z / y)) * y. [para(6448(a,1),7568(a,1,1))]. given #7498 (H,wt=19): 7643 (x * (1 / T(y,z))) * T(y,z) = (x * (1 / y)) * y. [para(7024(a,1),7568(a,1,1))]. given #7499 (H,wt=18): 8597 (x * (1 / T(y,z))) * T(y,z) = R(x,y \ 1,y). [hyper(236,a,2804,a(flip),b,7643,a)]. given #7500 (H,wt=17): 8598 R(x,T(y,z) \ 1,T(y,z)) = R(x,y \ 1,y). [hyper(2814,a,8597,a)]. given #7501 (H,wt=19): 7647 ((x / T(y,z)) * K(y,z)) \ (x / T(y,u)) = K(u,y). [para(6197(a,2),7587(a,1,1))]. given #7502 (H,wt=19): 7651 x \ (y * K(z,T(x,u))) = T(y / T(x,T(z,u)),x). [hyper(394,a,7305,a(flip),b,7612,a),flip(a)]. given #7503 (H,wt=15): 8601 T(x / T(y,T(z,x)),y) = T(y,z) \ x. [hyper(236,a,7348,a(flip),b,7651,a(flip))]. given #7504 (H,wt=15): 8602 T(x / T(y,z),y) = T(y,T(z,x)) \ x. [para(8147(a,1),8601(a,1,1,2))]. given #7505 (H,wt=19): 7656 x * (K(y,x) * K(y * x,y)) = T(y * x,y) / y. [hyper(5878,a,7622,a)]. given #7506 (H,wt=16): 8603 x * (y \ R(y,x,y)) = T(y * x,y) / y. [para(5407(a,1),7656(a,1,2))]. given #7507 (H,wt=19): 7679 K(x,y) * T(x,K(z,T(u,y))) = T(T(x,y),K(z,u)). [para(7256(a,2),7449(a,1,2,2))]. given #7508 (H,wt=19): 7680 K(x,y / z) * T(z \ y,x) = T(y / z,T(z,x)). [para(121(a,1),7456(a,1,2,1))]. given #7509 (H,wt=19): 7687 K(x / y,z * (y * (x / y))) = K(x / y,z * x). [para(250(a,1),7502(a,1,2,2))]. given #7510 (H,wt=19): 7689 K(x,T(y * (z * K(u,x)),w)) = T(K(x,y * z),w). [para(7502(a,1),7256(a,2,1))]. given #7511 (H,wt=19): 7691 T(1 / (x \ y),z) \ 1 = (x \ y) * K(z,y \ x). [para(6408(a,1),7516(a,2,2))]. given #7512 (H,wt=19): 7739 1 / (x \ K(y \ (z \ y),x)) = T(x,(z * y) \ y). [para(7695(a,1),5013(a,2,2,2)),flip(a)]. given #7513 (H,wt=15): 8607 T(x,(y * z) \ z) = T(x,z \ (y \ z)). [hyper(5014,a,7739,a),flip(a)]. given #7514 (H,wt=15): 8608 T(x,T(y \ 1,z)) = T(x,z \ (y \ z)). [hyper(236,a,7521,a,b,8607,a(flip)),flip(a)]. given #7515 (H,wt=15): 8609 T(x,T(y,z) \ 1) = T(x,z \ (y \ z)). [hyper(236,a,6368,a,b,8607,a(flip)),flip(a)]. given #7516 (H,wt=15): 8610 T(x,T((y / z) \ 1,y)) = T(x,y \ z). [para(65(a,1),8608(a,2,2,2))]. given #7517 (H,wt=17): 8612 K(T(x,(y / z) \ 1),y) = K(T(x,y \ z),y). [para(8610(a,1),8008(a,1,1)),flip(a)]. given #7518 (H,wt=18): 8611 T(x,y \ (z \ y)) != u | T(x,(z * y) \ y) = u. [para(8608(a,1),7522(a,1))]. given #7519 (H,wt=19): 7759 (x * T(y,z)) * K(u,y) = x * (T(y,z) * K(u,y)). [para(7758(a,1),103(a,1,2))]. given #7520 (H,wt=19): 7768 K((x \ y) \ z,T(z,u)) = K(y \ (x * z),T(z,u)). [hyper(236,a,6568,a(flip),b,7757,a(flip))]. given #7521 (H,wt=19): 7778 L(T(x,y),K(z,T(x,u)),w) = L(T(x,y),v5,K(v6,x)). [hyper(236,a,7402,a,b,7777,a)]. given #7522 (H,wt=15): 8614 L(T(x,y),z,K(u,x)) != w | T(x,y) = w. [para(7778(a,1),323(a,1)),flip(b)]. given #7523 (H,wt=14): 8615 T(x,K(y,x) * z) != u | T(x,z) = u. [para(6068(a,1),8614(a,1))]. given #7524 (H,wt=14): 8617 T(x,(x \ y) * x) != z | T(x,y) = z. [para(4804(a,1),8615(a,1,2))]. given #7525 (H,wt=14): 8618 T(x,y * x) != z | T(x,x * y) = z. [para(4817(a,1),8615(a,1,2))]. given #7526 (H,wt=14): 8619 T(x,y) != z | T(x,K(x,u) * y) = z. [para(5268(a,1),8615(a,1,2))]. given #7527 (H,wt=16): 8620 T(x,T(x,y) \ z) != u | T(x,x \ z) = u. [para(5204(a,1),8615(a,1,2))]. given #7528 (H,wt=19): 7791 T(1 / (1 / x),y) \ K(z,x) = K(z,x) / T(x,y). [para(5551(a,1),7782(a,1,1,1))]. given #7529 (H,wt=19): 7797 T(x / T(y,z),y) * y = (y \ x) * (y * K(z,y)). [para(7785(a,2),7569(a,1,1))]. given #7530 (H,wt=19): 7798 ((x \ y) \ y) * (T(x,y) \ y) = x * (y / T(x,y)). [para(7789(a,1),6919(a,1,2))]. given #7531 (H,wt=19): 7832 T(x,(K(y,x) * z) \ (K(y,x) * u)) = T(x,z \ u). [para(105(a,1),7831(a,1,2))]. given #7532 (H,wt=19): 7853 K(x * L(y,z,u),T(y,x)) = K(x * L(y,z,u),y). [hyper(5450,a,7384,a),flip(a)]. given #7533 (H,wt=19): 7858 K(x * T(y,z \ u),u / z) = K(x * y,u / z). [para(1251(a,1),7480(a,1,1))]. given #7534 (H,wt=19): 7880 K(x,T(y \ z,u \ z)) = K(x,T(y \ z,u \ y)). [para(14(a,1),7854(a,1,2,2,2))]. given #7535 (H,wt=19): 7887 T(K(x,y),K(z,y) \ u) = K(x,y) * K(x,K(y,u)). [para(7431(a,1),7881(a,1,2,2)),flip(a)]. given #7536 (H,wt=15): 8626 T(K(x,y),K(z,y) \ u) = T(K(x,y),u). [hyper(236,a,7881,a(flip),b,7887,a)]. given #7537 (H,wt=18): 8627 T(K(x,y),K(z,y) \ u) != w | T(K(x,y),u) = w. [para(7887(a,2),7904(a,1))]. given #7538 (H,wt=19): 7909 (x * K(y,z)) * K(y,K(z,u)) = x * T(K(y,z),u). [para(7886(a,1),6201(a,1,2))]. given #7539 (H,wt=19): 7950 (x * K(y,K(z,u \ x))) / u = T(x / u,K(y,z)). [para(7923(a,2),6275(a,1,1,2))]. given #7540 (H,wt=19): 7957 (x * K(y,K(z,u))) / K(y,z) = x / T(K(y,z),u). [para(7923(a,2),7557(a,1,1,2))]. given #7541 (H,wt=19): 8021 T(K(x,y),T(z,K(y,u))) = K(x,K(y,z)) * K(x,y). [para(7277(a,1),7882(a,1,1,2)),flip(a)]. given #7542 (H,wt=15): 8629 T(K(x,y),T(z,K(y,u))) = T(K(x,y),z). [hyper(236,a,7882,a(flip),b,8021,a)]. given #7543 (H,wt=19): 8033 K(x,y) * K(y,K(z,T(x,u))) = T(K(x,y),T(z,u)). [para(7260(a,1),7930(a,1,2,2))]. given #7544 (H,wt=19): 8049 R(K(x,T(y,z)),u,w) * z = z * R(K(x,y),u,w). [para(7979(a,1),4938(a,1,1,1))]. given #7545 (H,wt=19): 8095 L(T(K(x,y),z),u,w) * z = z * L(K(x,y),u,w). [para(8058(a,1),181(a,1,2,1)),flip(a)]. given #7546 (H,wt=19): 8096 L(T(K(x,y),z),u,w) \ (z * L(K(x,y),u,w)) = z. [para(8058(a,1),205(a,1,2,2,1))]. given #7547 (H,wt=17): 8633 T(T(x,L(K(y,z),u,w)),L(K(y,z),u,w)) = x. [hyper(4425,a,8096,a)]. given #7548 (H,wt=19): 8141 K(x,R((y * z) / y,u,w)) = K(T(x,y),R(z,u,w)). [para(813(a,2),8079(a,1,2))]. given #7549 (H,wt=19): 8144 (x * K(y,x)) * K(x,T(z,y)) = T(x * K(y,x),z). [para(8085(a,1),4887(a,2,2)),flip(a)]. given #7550 (H,wt=17): 8637 K(x,y) * T(y,T(z,x)) = T(y * K(x,y),z). [hyper(6455,a,8144,a)]. given #7551 (H,wt=17): 8638 T(x,T(y,z)) * K(z,x) = T(x * K(z,x),y). [hyper(5786,a,8144,a)]. given #7552 (H,wt=17): 8639 K(x,y) * T(x * K(y,x),z) = T(x,T(z,y)). [hyper(5285,a,8637,a)]. given #7553 (H,wt=19): 8146 K(x,T(y,z) * K(u,T(y,z))) = K(x,T(T(y,u),z)). [hyper(236,a,7309,a(flip),b,8086,a)]. given #7554 (H,wt=17): 8644 K(x,T(y * K(z,y),u)) = K(x,T(T(y,z),u)). [para(5493(a,1),8146(a,1,2))]. given #7555 (H,wt=17): 8645 K(x,T(T(y \ z,y),u)) = K(x,T(z / y,u)). [para(4903(a,1),8644(a,1,2,1)),flip(a)]. given #7556 (H,wt=19): 8148 T(x,y \ K(z,y \ 1)) = x * K(T(x,z),y \ 1). [para(4944(a,1),8087(a,1,2,2)),flip(a)]. given #7557 (H,wt=19): 8164 T(x,R((y * z) / y,u,w)) = T(x,T(R(z,u,w),y)). [para(813(a,2),8152(a,1,2))]. given #7558 (H,wt=19): 8167 T(x,T(y,z) * K(u,T(y,z))) = T(x,T(T(y,u),z)). [para(38(a,1),8154(a,2,2))]. given #7559 (H,wt=17): 8648 T(x,T(y * K(z,y),u)) = T(x,T(T(y,z),u)). [para(5493(a,1),8167(a,1,2))]. given #7560 (H,wt=19): 8195 K(x,y) * (z * (x * K(y,x))) = T(z * x,K(x,y)). [para(7701(a,1),7984(a,1,2))]. given #7561 (H,wt=19): 8206 (x * T(y,T(x,z))) * K(x,z) = K(x,z) * (y * x). [para(7989(a,1),5846(a,1,1))]. given #7562 (H,wt=19): 8207 T(x * K(y,z),u) / x = x \ T(K(y,z) * x,u). [para(7994(a,1),4623(a,1,2,1)),flip(a)]. given #7563 (H,wt=19): 8216 K(x,K(y,(z / x) \ u)) = K(x,K(y,(x \ z) \ u)). [para(5757(a,1),8034(a,1,2,2)),flip(a)]. given #7564 (H,wt=19): 8221 K(x \ y,z) * K(z,y / x) = K(x,K(z,x \ y)). [para(8069(a,1),8044(a,1,2))]. given #7565 (H,wt=19): 8239 K(x / y,z \ (x / y)) = K(y \ x,(z * y) \ x). [hyper(6875,a,8117,a)]. given #7566 (H,wt=19): 8250 K(x,T(y,z)) * ((z * y) * x) = (z * y) * T(x,y). [para(7270(a,1),8156(a,1,1))]. given #7567 (H,wt=19): 8251 T(K(x,y),z) * ((x \ z) * x) = (x \ z) * T(x,y). [para(7308(a,1),8156(a,1,1))]. given #7568 (H,wt=19): 8256 K(K(x,y) \ z,T(K(x,u),w)) = K(x,K(z,T(u,w))). [para(7256(a,1),8210(a,1,2))]. given #7569 (H,wt=19): 8257 K(K(x,y) * (K(y,z) * u),K(y,w)) = K(y,K(u,w)). [hyper(236,a,8030,a(flip),b,8211,a)]. given #7570 (H,wt=19): 8259 K(1 / T(x,y / x),z) = K(1 / (y / (y / x)),z). [para(186(a,1),8222(a,1,1,2,1))]. given #7571 (H,wt=19): 8273 (T(x,y) * z) * K(x,u) = T(x,y) * (z * K(x,u)). [para(8262(a,1),470(a,1,1,1)),flip(a)]. given #7572 (H,wt=17): 8652 T(T(x,y) * z,K(x,y)) = x * (z * K(x,y)). [hyper(168,a,8273,a,b,4906,a)]. given #7573 (H,wt=19): 8278 (x * T(y,K(z,x))) \ (x * (K(x,z) * y)) = K(x,z). [hyper(236,a,5863,a,b,8263,a(flip)),flip(a)]. given #7574 (H,wt=19): 8286 K(x,T((x \ y) \ z,u)) = K(x,T(y \ (x * z),u)). [para(725(a,1),8281(a,1,2)),flip(a)]. given #7575 (H,wt=17): 8655 K(x,T(y \ (x * z),z)) = K(x,z / (x \ y)). [hyper(8189,a,8286,a),flip(a)]. given #7576 (H,wt=19): 8335 T(x / ((y \ z) \ z),T(y,z)) = ((y \ z) \ z) \ x. [hyper(280,a,8330,a),flip(a)]. given #7577 (H,wt=19): 8336 (R(x,y,z) \ 1) * K(x,u) = R(x,y,z) \ K(x,u). [para(8272(a,1),387(a,1,1)),flip(a)]. given #7578 (H,wt=19): 8347 K(x,L(L(y,z,x),u,w)) != v5 | K(x,L(y,u,w)) = v5. [para(45(a,1),8342(a,1,2))]. given #7579 (H,wt=19): 8350 T(x,T(y * K(x,z),u)) = (u * T(x,y)) / T(u,x). [para(7572(a,1),8248(a,1,1,2)),flip(a)]. given #7580 (H,wt=15): 8658 T(x,T(y * K(x,z),u)) = T(x,T(y,u)). [hyper(236,a,8248,a(flip),b,8350,a)]. given #7581 (H,wt=19): 8352 (x * ((y / z) / x)) * z = y * K(x,z \ (x \ y)). [para(8280(a,1),6484(a,2,2))]. given #7582 (H,wt=19): 8369 K(x,y) * (x * (z * K(y,x))) = T(x * z,K(x,y)). [para(8317(a,1),7984(a,1,2))]. given #7583 (H,wt=17): 8662 T(x,y) * (z * K(y,x)) = T(x * z,K(x,y)). [hyper(5216,a,8369,a)]. given #7584 (H,wt=19): 8372 (T(x,y) * z) * K(u,x) = T(x,y) * (z * K(u,x)). [para(8366(a,1),470(a,1,1,1)),flip(a)]. given #7585 (H,wt=19): 8380 x * K(y \ (z \ x),z) = y * ((z \ (y \ x)) * z). [para(8318(a,1),6306(a,1,2))]. given #7586 (H,wt=19): 8383 K(x,y) * (L(y,z,y) \ u) = L(T(y,x),z,y) \ u. [para(8353(a,1),5980(a,1,1)),flip(a)]. given #7587 (H,wt=19): 8426 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ (x * u))). [para(450(a,1),8425(a,1,2,2)),flip(a)]. given #7588 (H,wt=19): 8442 T(x * K(y / z,x),z \ y) = T(x,K(z \ y,y)). [para(8052(a,1),8440(a,1,1,2))]. given #7589 (H,wt=19): 8451 K(T(x * y,y) / x,z) = K(y,T(T(z,x),x * y)). [hyper(8184,a,8082,a)]. given #7590 (H,wt=16): 8672 K(L(x,y,x),z) = K(T(u * x,x) / u,z). [hyper(236,a,8477,a,b,8451,a),flip(a)]. given #7591 (H,wt=13): 8673 K(T(x * y,y) / x,z) = K(y,z). [hyper(8341,a,8672,a),flip(a)]. given #7592 (H,wt=13): 8676 K(T(x,y) / (x / y),z) = K(y,z). [para(16(a,1),8673(a,1,1,1,1))]. given #7593 (H,wt=15): 8675 K(T(x,y \ x) / y,z) = K(y \ x,z). [para(14(a,1),8673(a,1,1,1,1))]. given #7594 (H,wt=19): 8456 T(x,T((y \ z) \ 1,y)) = x * K(x,(z / y) \ 1). [para(8103(a,1),4887(a,2,2))]. given #7595 (H,wt=17): 8677 T(x,T((y \ z) \ 1,y)) = T(x,(z / y) \ 1). [hyper(236,a,4887,a,b,8456,a)]. given #7596 (H,wt=17): 8678 T(x,((y * z) / y) \ 1) = T(x,T(z \ 1,y)). [para(13(a,1),8677(a,1,2,1,1)),flip(a)]. given #7597 (H,wt=15): 8679 T(x,T(y \ 1,z)) = T(x,y \ K(y,z)). [para(4984(a,1),8678(a,1,2)),flip(a)]. given #7598 (H,wt=15): 8680 T(x,y \ K(y,z)) = T(x,z \ (y \ z)). [hyper(236,a,8608,a(flip),b,8679,a(flip))]. given #7599 (H,wt=15): 8681 T(x,y / (y * z)) = T(x,y \ (z \ y)). [hyper(236,a,5312,a(flip),b,8680,a(flip)),flip(a)]. given #7600 (H,wt=18): 8682 T(x,y / (y * z)) != u | T(x,(z * y) \ y) = u. [para(8681(a,2),8611(a,1))]. given #7601 (H,wt=19): 8488 K(x,L(T(y \ z,y),u,w)) = K(x,L(z / y,u,w)). [para(121(a,1),8443(a,1,2,1,1))]. given #7602 (H,wt=19): 8490 K(x,L(y * K(z,y),u,w)) = K(x,L(T(y,z),u,w)). [para(4853(a,1),8443(a,1,2,1,1)),flip(a)]. given #7603 (H,wt=19): 8492 x * (T(x,y) \ (K(z,x) / x)) = K(z,x) / T(x,y). [hyper(5361,a,8459,a)]. given #7604 (H,wt=19): 8494 T(x,1 / (((y \ z) \ z) \ z)) = T(x,1 / (z / y)). [para(4108(a,1),8479(a,1,2,2))]. given #7605 (H,wt=19): 8516 K((x * K(y,z)) \ u,y) = K(K(y,z) \ (x \ u),y). [para(227(a,1),8514(a,1,1))]. given #7606 (H,wt=15): 8684 K((x * K(y,z)) \ u,y) = K(x \ u,y). [hyper(236,a,7484,a(flip),b,8516,a)]. given #7607 (H,wt=15): 8686 K((K(x,y) * z) \ u,x) = K(z \ u,x). [para(7281(a,1),8684(a,1,1,1))]. given #7608 (H,wt=13): 8689 K(x \ K(y,z),z) = K(x \ 1,z). [hyper(6499,a,8686,a)]. given #7609 (H,wt=13): 8690 K(x \ K(y,z),y) = K(x \ 1,y). [hyper(6345,a,8686,a),flip(a)]. given #7610 (H,wt=15): 8691 K(x \ (K(y,z) * u),y) = K(x \ u,y). [hyper(236,a,7224,a(flip),b,8686,a(flip))]. given #7611 (H,wt=13): 8695 K(x \ T(y,z),y) = K(x \ y,y). [para(4897(a,2),8691(a,1,1,2))]. given #7612 (H,wt=15): 8696 K(x \ (K(y,z) * u),z) = K(x \ u,z). [para(5268(a,1),8691(a,1,1,2)),flip(a)]. given #7613 (H,wt=15): 8700 K(x \ (y * K(z,u)),z) = K(x \ y,z). [para(8047(a,1),8691(a,1,1,2))]. given #7614 (H,wt=15): 8701 K(T(x,y) \ z,z) = K(x \ z,T(z,y)). [hyper(236,a,6653,a(flip),b,8695,a(flip))]. given #7615 (H,wt=16): 8693 K(x \ L(K(y,z),u,w),y) = K(x \ 1,y). [para(5893(a,1),8690(a,1,1,2))]. given #7616 (H,wt=17): 8702 K(x \ (y * T(z,u)),u) = K(x \ (y * z),u). [para(5700(a,1),8696(a,1,1,2))]. given #7617 (H,wt=17): 8705 K(x \ T(y,z),T(y,u)) = K(x \ y,T(y,u)). [para(8087(a,1),8700(a,1,1,2))]. given #7618 (H,wt=19): 8519 K(x,T(y,z * (u * x))) = K(x,T(y,z * (x * u))). [para(7575(a,1),7812(a,1,2,2)),flip(a)]. given #7619 (H,wt=19): 8528 K(x,T(y,z * (u * K(w,x)))) = K(x,T(y,z * u)). [para(103(a,1),7811(a,1,2,2))]. given #7620 (H,wt=19): 8572 T((x * y) * K(x,y),x) = (y \ T(x * y,x)) * y. [hyper(7137,a,7212,a)]. given #7621 (H,wt=19): 8574 R(T(K(x,y),z),y * u,w) = K(x,R(T(y,z),u,w)). [para(42(a,2),7262(a,2,2))]. given #7622 (H,wt=19): 8576 K(x,K(y,z)) * (K(x,y) * u) = K(x,T(y,z)) * u. [para(7885(a,1),7295(a,1,1))]. given #7623 (H,wt=19): 8582 K(x,R(T(y,x \ z),u,w)) = K(x,R(T(y,z),u,w)). [para(42(a,2),7382(a,2,2))]. given #7624 (H,wt=19): 8606 K(x,T(y * (z * K(u,x)),w)) = K(x,T(y * z,w)). [hyper(236,a,7256,a,b,7689,a)]. given #7625 (H,wt=15): 8714 K(x,T(y * K(x,z),u)) = K(x,T(y,u)). [para(5103(a,1),8606(a,1,2,1)),flip(a)]. given #7626 (H,wt=17): 8716 K(x,T(y / T(x,z),u)) = K(x,T(y / x,u)). [para(6197(a,1),8714(a,1,2,1)),flip(a)]. given #7627 (H,wt=19): 8628 (x * K(y,z)) * T(K(z,y),u) = x * K(z,K(y,u)). [para(7540(a,1),7909(a,1,1)),flip(a)]. given #7628 (H,wt=19): 8630 T(K(x,y),z / K(u,y)) = T(K(x,y),K(u,y) \ z). [para(5844(a,1),8629(a,1,2))]. given #7629 (H,wt=15): 8718 T(K(x,y),z / K(u,y)) = T(K(x,y),z). [hyper(236,a,8626,a(flip),b,8630,a)]. given #7630 (H,wt=15): 8720 T(K(x,y),z * K(y,u)) = T(K(x,y),z). [para(7547(a,1),8718(a,1,2))]. given #7631 (H,wt=19): 8634 x * K(L(K(y,z),u,w),x) = T(x,L(K(y,z),u,w)). [hyper(5036,a,8633,a),flip(a)]. given #7632 (H,wt=19): 8640 T(x,y) * T(y,T(z,x)) = x * T(y * K(x,y),z). [para(8637(a,1),4856(a,1,2)),flip(a)]. given #7633 (H,wt=19): 8646 T(x,K(y,z \ 1) / z) = x * K(T(x,y),z \ 1). [hyper(236,a,5809,a,b,8148,a(flip)),flip(a)]. given #7634 (H,wt=17): 8721 K(x,K(y,z \ 1) / z) = K(T(x,y),z \ 1). [hyper(4954,a,8646,a)]. given #7635 (H,wt=19): 8647 T(x,R((y * z) / y,u,w)) = T(x,R(T(z,y),u,w)). [para(42(a,2),8164(a,2,2))]. given #7636 (H,wt=19): 8650 K(x \ y,z) * K(z,y / x) = K(z,K(x,x \ y)). [hyper(236,a,7919,a,b,8221,a)]. given #7637 (H,wt=19): 8654 (x * T(y,K(x,z))) \ (x * (K(x,z) * y)) = K(x,z). [para(7981(a,1),8278(a,1,1,2))]. given #7638 (H,wt=17): 8726 (x * T(y,K(x,z))) \ (T(x,z) * y) = K(x,z). [para(4856(a,1),8654(a,1,2))]. given #7639 (H,wt=19): 8659 T(x,T(y / (z / x),u)) = T(x,T(y / (x \ z),u)). [para(7553(a,1),8658(a,1,2,1)),flip(a)]. given #7640 (H,wt=19): 8661 x * K(y,z \ (y \ x)) = z * (y * ((z \ x) / y)). [hyper(236,a,4659,a(flip),b,8352,a(flip))]. given #7641 (H,wt=17): 8728 K(x,(y * z) \ (x \ y)) = K(x,z \ (x \ 1)). [hyper(17,a,6972,a(flip),b,8661,a)]. given #7642 (H,wt=19): 8663 T(x * (y * z),K(x,z)) = T(x,z) * (y * T(z,x)). [para(6201(a,1),8662(a,1,2)),flip(a)]. given #7643 (H,wt=19): 8665 T(x,y) * (z * K(x * z,x)) = T(T(x,y) * z,x). [hyper(236,a,7497,a(flip),b,8372,a(flip))]. given #7644 (H,wt=19): 8666 ((x \ (y / z)) * x) * z = y * K(z \ (x \ y),x). [hyper(236,a,4661,a,b,8380,a),flip(a)]. given #7645 (H,wt=19): 8687 K((x * K(y,z)) \ u,T(y,w)) = K(x \ u,T(y,w)). [para(8054(a,1),8684(a,1,1,1,2))]. given #7646 (H,wt=19): 8688 K((x * (y * z)) \ u,z) = K((x * (z * y)) \ u,z). [para(7575(a,1),8684(a,1,1,1)),flip(a)]. given #7647 (H,wt=19): 8697 K(x \ (y / z),z \ y) = K(x \ (z \ y),z \ y). [para(5020(a,1),8691(a,1,1,2)),flip(a)]. given #7648 (H,wt=19): 8699 K(x \ (K(y,z) * u),T(y,w)) = K(x \ u,T(y,w)). [para(8054(a,1),8691(a,1,1,2,1))]. given #7649 (H,wt=19): 8704 K(x \ (y * K(z,u)),T(z,w)) = K(x \ y,T(z,w)). [para(8054(a,1),8700(a,1,1,2,2))]. given #7650 (H,wt=19): 8706 K(x \ (y * (z * u)),u) = K(x \ (y * (u * z)),u). [para(7575(a,1),8700(a,1,1,2)),flip(a)]. given #7651 (H,wt=19): 8710 K(x,T(y,z * (K(u,x) * w))) = K(x,T(y,z * w)). [para(7249(a,1),8528(a,1,2,2,2))]. given #7652 (H,wt=19): 8711 T(x * (y * K(x,y)),x) = (y \ T(x * y,x)) * y. [para(7701(a,1),8572(a,1,1))]. given #7653 (H,wt=16): 8737 T(x * (y * K(x,y)),x) = R(x,y,x) * y. [para(4225(a,1),8711(a,2,1))]. given #7654 (H,wt=14): 8738 T(T(x,y) * y,x) = R(x,y,x) * y. [para(4924(a,1),8737(a,1,1))]. given #7655 (H,wt=19): 8712 R(K(x,T(y,z)),y * u,w) = K(x,R(T(y,z),u,w)). [para(7256(a,2),8574(a,1,1))]. given #7656 (H,wt=19): 8713 K(x,R(T(y,x * z),u,w)) = K(x,R(T(y,z),u,w)). [para(13(a,1),8582(a,1,2,1,2)),flip(a)]. given #7657 (H,wt=19): 8724 K(x,y / z) * K(z \ y,x) = K(x,K(z,z \ y)). [hyper(2197,a,8650,a)]. given #7658 (H,wt=19): 8727 T(x,T((y * x) / z,u)) = T(x,T(y / (x \ z),u)). [hyper(236,a,7230,a,b,8659,a(flip)),flip(a)]. given #7659 (H,wt=19): 8730 T(x,y) * (x \ T(x * z,x)) = T(T(x,y) * z,x). [para(7608(a,2),8665(a,1,2))]. given #7660 (H,wt=19): 8732 (((x \ (y / z)) * x) * z) \ y = K(x,z \ (x \ y)). [para(8666(a,2),7549(a,1,1))]. given #7661 (H,wt=19): 8741 K(x,R(T(y,z),y \ u,w)) = R(K(x,T(y,z)),u,w). [para(14(a,1),8712(a,1,2)),flip(a)]. given #7662 (H,wt=16): 8746 K(x,R(T(y,z),y \ 1,u)) = K(x,T(y,z)). [hyper(236,a,338,a(flip),b,8741,a)]. given #7663 (H,wt=16): 8747 K(x,R(T(y,z),y \ 1,u)) = T(K(x,y),z). [hyper(236,a,7256,a(flip),b,8746,a)]. given #7664 (H,wt=19): 8744 (((x \ (y / z)) * x) * z) \ y = K(x,(x * z) \ y). [hyper(236,a,8280,a,b,8732,a)]. given #7665 (H,wt=20): 7155 x \ T(x * K(y,z),y) != u | K(x,y) * K(y,z) = u. [para(7133(a,2),5185(a,1,2))]. given #7666 (H,wt=20): 7166 K(x,y) * T(K(x * y,x),y) = T(x \ R(x,y,x),y). [para(5407(a,1),7151(a,1,1)),flip(a)]. given #7667 (H,wt=18): 8748 K(x,y) * K(x * y,x) = T(x \ R(x,y,x),y). [para(7259(a,1),7166(a,1,2))]. given #7668 (H,wt=15): 8749 T(x \ R(x,y,x),y) = x \ R(x,y,x). [hyper(236,a,5407,a(flip),b,8748,a(flip))]. given #7669 (H,wt=17): 8750 (x * (y \ R(y,x,y))) / x = y \ R(y,x,y). [para(8749(a,1),163(a,1,1,2))]. given #7670 (H,wt=16): 8751 (T(x * y,x) / x) / y = x \ R(x,y,x). [para(8603(a,1),8750(a,1,1))]. given #7671 (H,wt=20): 7187 T(x,y) * K(y,z) != K(y,z) * u | T(x,T(y,z)) = u. [para(7134(a,1),19(a,1))]. given #7672 (H,wt=20): 7190 x \ (K(x,y) * (z * x)) != u | T(K(x,y) * z,x) = u. [para(7181(a,1),283(a,1,2)),flip(b)]. given #7673 (H,wt=20): 7241 R(x,y,x) * K(z,x) != u | R(x * K(z,x),y,x) = u. [para(7235(a,1),5970(a,1,2))]. given #7674 (H,wt=20): 7285 L(x \ K(y,T(z,u)),x,u) = (u * x) \ (K(y,z) * u). [para(7256(a,2),402(a,1,1,2))]. given #7675 (H,wt=20): 7286 x * (y * K(z,T(u,y))) != w | x * (K(z,u) * y) = w. [para(7256(a,2),535(a,1,2,2))]. given #7676 (H,wt=20): 7329 (x * y) / (K(z,T(x,u)) * y) != w | T(x,T(z,u)) = w. [para(7260(a,1),5356(a,1,2,1))]. given #7677 (H,wt=20): 7335 K((x * (y \ z)) \ (x * z),u) = L(K(T(y,z),u),z,x). [para(7245(a,1),6565(a,1,1)),flip(a)]. given #7678 (H,wt=20): 7338 K(x,(y * (z \ u)) \ (y * u)) = L(K(x,T(z,u)),u,y). [para(7257(a,1),6593(a,1,1)),flip(a)]. given #7679 (H,wt=20): 7345 K((x * y) / (z * y),T(u,x)) = R(K(z \ x,u),x,y). [para(7272(a,1),6675(a,1,1)),flip(a)]. given #7680 (H,wt=20): 7357 K(x,y) * z != u * w | u \ (z * K(x,T(y,z))) = w. [para(7281(a,1),545(a,1))]. given #7681 (H,wt=20): 7373 K(x \ y,z) * (y / x) != u | T(y / x,T(z,x)) = u. [para(7312(a,1),4898(a,1,1))]. given #7682 (H,wt=20): 7563 R((x * K(y,z)) / u,u,K(z,y)) = x / (u * K(z,y)). [para(7540(a,1),114(a,2,1))]. given #7683 (H,wt=20): 7578 R((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). [para(7547(a,1),235(a,1,1))]. given #7684 (H,wt=19): 8755 x / (K(y,z) * T(z,u)) = (x / T(z,u)) * K(z,y). [hyper(236,a,7711,a(flip),b,7578,a(flip))]. given #7685 (H,wt=18): 8758 (x / T(y,y * z)) * K(y,z) = x / L(y,z,y). [para(5181(a,1),8755(a,1,2)),flip(a)]. given #7686 (H,wt=18): 8759 (x / T(y,z)) * K(y,y * z) = x / R(y,z,y). [para(5182(a,1),8755(a,1,2)),flip(a)]. given #7687 (H,wt=20): 7616 (x / T(y,z)) * y != u * w | u \ (x * K(z,y)) = w. [para(7554(a,1),568(a,1))]. given #7688 (H,wt=20): 7646 (x / y) * K(z,y) != u * w | u \ (x / T(y,z)) = w. [para(7587(a,1),367(a,1,2))]. given #7689 (H,wt=20): 7731 (x * (y * z)) \ ((x * y) * z) = a(x,T(y,z),T(z,y)). [para(7618(a,1),4133(a,1,2))]. given #7690 (H,wt=16): 8762 a(x,T(y,z),T(z,y)) != u | a(x,y,z) = u. [para(7731(a,1),679(a,1))]. given #7691 (H,wt=20): 7816 K(x,T(y * z,y \ 1)) != u | K(x,T(y * z,z)) = u. [para(4071(a,1),7255(a,1,2))]. given #7692 (H,wt=20): 7825 K(L(T(x,y),z,u),w) != v5 | K(L(x,z,u),T(w,y)) = v5. [para(40(a,2),7823(a,1,1))]. given #7693 (H,wt=20): 7826 K(x \ (y * ((x \ 1) \ 1)),z) != u | K(y,T(z,x)) = u. [para(5929(a,2),7823(a,1))]. given #7694 (H,wt=20): 7829 R(x,y,z) * K(u,x) != w | K(u,x) * R(x,y,z) = w. [para(625(a,1),7283(a,1,2,2))]. given #7695 (H,wt=20): 7835 T(x,(x \ y) \ z) != u | T(x,T(z / (x \ y),y)) = u. [para(121(a,1),7529(a,1,2))]. given #7696 (H,wt=17): 8763 T(x,T(y / (x \ z),z)) = T(x,z \ (x * y)). [hyper(7835,a,8300,a)]. given #7697 (H,wt=20): 7837 (x * K(y,T(z,u))) \ (x * z) != w | T(z,T(y,u)) = w. [para(7260(a,1),7639(a,1,1,2))]. given #7698 (H,wt=20): 7838 x * K(y,T(z,x)) != u | (z * x) / T(T(z,x),y) = u. [para(138(a,1),7645(a,1,1))]. given #7699 (H,wt=15): 8764 (x * y) / T(T(x,y),z) = K(z,x) * y. [hyper(7838,a,7281,a)]. given #7700 (H,wt=20): 7842 K(x * y,T(z,y \ 1)) != u | K(x * y,T(z,x)) = u. [para(6365(a,1),7824(a,1,2))]. given #7701 (H,wt=20): 7843 K(x,(x * y) \ z) != u | K(x,T(z / (x * y),y)) = u. [para(121(a,1),7827(a,1,2))]. given #7702 (H,wt=17): 8766 K(x,T(y / (x * z),z)) = K(x,z \ (x \ y)). [hyper(7843,a,8280,a)]. given #7703 (H,wt=20): 7845 K(x,(y \ K(z,u)) \ 1) != w | K(x,K(u,z) * y) = w. [para(5268(a,1),7840(a,1,2,1,1))]. given #7704 (H,wt=20): 7907 K(x,K(y,z)) * (z \ u) != w | T(z,K(x,y)) \ u = w. [para(7886(a,1),5208(a,1,1))]. given #7705 (H,wt=20): 7915 (x / y) * K(z,K(u,y)) != w | x / T(y,K(z,u)) = w. [para(7886(a,1),7645(a,1,2))]. given #7706 (H,wt=20): 7928 x * (K(y,K(x,z)) * u) != w | T(x,K(y,z)) * u = w. [para(7919(a,1),5344(a,1,2,1))]. given #7707 (H,wt=20): 7946 K(x,K(y,z)) * (z * u) != w | T(z,K(x,y)) * u = w. [para(7923(a,2),5216(a,1,1))]. given #7708 (H,wt=20): 7970 K(x,K(y,z)) * (x \ u) != w | T(x,K(y,z)) \ u = w. [para(7936(a,1),5208(a,1,1))]. given #7709 (H,wt=20): 7975 (x / y) * K(y,K(z,u)) != w | x / T(y,K(z,u)) = w. [para(7936(a,1),7645(a,1,2))]. given #7710 (H,wt=20): 8016 K(x,K(y / z,T(u,z))) != w | K(x,K(u,z \ y)) = w. [para(7312(a,2),7971(a,1,2))]. given #7711 (H,wt=20): 8098 (K(x,T(y,z)) * z) * u != w | (z * K(x,y)) * u = w. [para(8045(a,1),303(a,1,1,1))]. given #7712 (H,wt=20): 8099 K(x,T(y,z)) * z != u * w | (z * K(x,y)) / w = u. [para(8045(a,1),374(a,1,1))]. given #7713 (H,wt=20): 8126 K(L((x \ y) / z,z,x),u) = K((x * z) \ y,T(u,z)). [para(819(a,2),8067(a,1,1))]. given #7714 (H,wt=20): 8136 K(x,T((y * z) \ (y * u),z)) = K(x,L(u / z,z,y)). [para(818(a,1),8070(a,1,2)),flip(a)]. given #7715 (H,wt=20): 8145 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x * K(v5,x),y). [para(7609(a,1),8085(a,1,1,2)),flip(a)]. given #7716 (H,wt=18): 8767 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x,T(y,v5)). [hyper(236,a,8085,a(flip),b,8145,a)]. given #7717 (H,wt=20): 8181 K(L(T(x,y),z,u),T(w,y)) != v5 | K(L(x,z,u),w) = v5. [para(40(a,2),8173(a,1,1))]. given #7718 (H,wt=20): 8182 K(R(T(x,y),z,u),T(w,y)) != v5 | K(R(x,z,u),w) = v5. [para(42(a,2),8173(a,1,1))]. given #7719 (H,wt=20): 8183 K(T(x,y),R(T(z,y),u,w)) != v5 | K(x,R(z,u,w)) = v5. [para(42(a,2),8173(a,1,2))]. given #7720 (H,wt=20): 8186 K(K(x,y) * z,T(u,z)) != w | K(z * K(x,y),u) = w. [para(7712(a,1),8173(a,1))]. given #7721 (H,wt=20): 8244 T(x,T(T(y \ z,u),y)) != w | T(x,T(z / y,u)) = w. [para(183(a,1),8242(a,1,2,1))]. given #7722 (H,wt=20): 8252 K(x,y / R(x,z,u)) != w | K(x,R(x,z,u) \ y) = w. [para(8056(a,1),8176(a,1))]. given #7723 (H,wt=20): 8391 T(x,L(K(y,z),T(z,u),w)) = T(z,K(y,x)) * (z \ x). [hyper(236,a,8003,a,b,7998,a)]. given #7724 (H,wt=20): 8396 K(x \ (y * z),T(z,y)) != u | K((y * z) / x,z) = u. [para(7270(a,1),8171(a,1))]. given #7725 (H,wt=20): 8398 K(x / y,L(y,z,u)) != w | K(y \ x,L(y,z,u)) = w. [para(132(a,1),8178(a,1,2))]. given #7726 (H,wt=20): 8402 K(x \ y,T(T(z,x),u)) != w | K(y / x,T(z,u)) = w. [para(38(a,1),8184(a,1,2))]. given #7727 (H,wt=20): 8403 K(L(x,y,z) \ u,x) != w | K(u / L(x,y,z),x) = w. [para(263(a,1),8184(a,1,2))]. given #7728 (H,wt=20): 8424 T(K(x,y \ z),T(y,z)) != u | T(K(x,y \ z),y) = u. [para(8313(a,1),8245(a,1))]. given #7729 (H,wt=20): 8431 T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,x \ 1). [para(7874(a,1),6093(a,1,1,1))]. given #7730 (H,wt=20): 8552 K(x \ y,T(x,z)) != u | K(T(x,w) \ y,T(x,z)) = u. [para(5178(a,1),8420(a,1,1))]. given #7731 (H,wt=20): 8561 K(x * (y \ 1),y \ 1) != z | K(y \ x,y \ 1) = z. [para(125(a,1),8531(a,1,1))]. given #7732 (H,wt=20): 8567 T(x,K(y,z)) * K(y,x) != u | x * K(y,T(x,z)) = u. [para(8439(a,2),8559(a,1))]. given #7733 (H,wt=20): 8624 T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)). [para(7853(a,1),6721(a,1,2))]. given #7734 (H,wt=20): 8641 K(x,y) * T(x * K(y,x),z) != u | T(x,T(z,y)) = u. [para(8637(a,1),5271(a,1,2)),flip(b)]. given #7735 (H,wt=20): 8742 K(x,(x * y) \ ((x * z) * y)) = K(x,R(T(z,y),x,y)). [hyper(5142,a,8713,a)]. given #7736 (H,wt=20): 8752 (x \ R(x,y \ 1,x)) / (T(x * (y \ 1),x) / x) = y. [hyper(74,a,8751,a(flip),b,6920,a(flip))]. given #7737 (H,wt=20): 8753 K(x,y) * (x \ (z * x)) != u | T(K(x,y) * z,x) = u. [para(5195(a,1),7190(a,1))]. given #7738 (H,wt=18): 8774 K(x,y) * T(z,x) != u | T(K(x,y) * z,x) = u. [para(32(a,2),8753(a,1,2))]. given #7739 (H,wt=20): 8760 (x / T(y,z)) * T(y,y * z) = (x / R(y,z,y)) * y. [para(8759(a,1),6188(a,1,1)),flip(a)]. given #7740 (H,wt=20): 8761 K(x * (y / R(z,u,z)),z) = K(x * (y / T(z,u)),z). [para(8759(a,1),7607(a,1,1,2))]. given #7741 (H,wt=20): 8773 K(x,y \ (x \ ((x * z) * y))) = K(x,R(T(z,y),x,y)). [hyper(8344,a,8742,a)]. given #7742 (H,wt=20): 8777 (x * K(y,z)) * K(z,z * y) = (x / R(z,y,z)) * z. [hyper(236,a,7633,a(flip),b,8760,a(flip)),flip(a)]. given #7743 (H,wt=21): 7177 K(x,y) * ((x \ 1) \ K(y,z)) = T((x \ 1) \ K(y,z),y). [hyper(236,a,4894,a,b,7165,a(flip)),flip(a)]. given #7744 (H,wt=21): 7178 T(T(x,y) * K(z,y),K(y,u)) = T(x * K(z,y),T(y,u)). [para(7167(a,1),7135(a,1,1))]. given #7745 (H,wt=21): 7179 T(K(x \ y,x) * z,x \ y) = (y / x) \ (z * (x \ y)). [hyper(236,a,5759,a(flip),b,7169,a)]. given #7746 (H,wt=21): 7180 T(K(x,y) * L(z,u,w),x) = K(x,y) * L(T(z,x),u,w). [para(40(a,2),7169(a,2,2))]. given #7747 (H,wt=21): 7196 (K(x,y) * z) * R(x,u,w) = K(x,y) * (z * R(x,u,w)). [para(7192(a,1),443(a,1,2,1))]. given #7748 (H,wt=13): 8779 R(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(7075,a,7196,a)]. given #7749 (H,wt=13): 8782 K(R(x,y,R(x,z,u)),w) = K(x,w). [hyper(236,a,6678,a(flip),b,8779,a(flip)),flip(a)]. given #7750 (H,wt=21): 7197 (K(x,y) * z) * L(x,u,w) = K(x,y) * (z * L(x,u,w)). [para(7192(a,1),444(a,1,2,1))]. given #7751 (H,wt=13): 8784 R(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(7075,a,7197,a)]. given #7752 (H,wt=13): 8785 K(R(x,y,L(x,z,u)),w) = K(x,w). [hyper(236,a,6678,a(flip),b,8784,a(flip)),flip(a)]. given #7753 (H,wt=19): 8786 K(T(x,y),T(z,y)) = K(R(x,u,L(T(x,y),w,v5)),z). [hyper(8182,a,8785,a),flip(a)]. given #7754 (H,wt=15): 8787 K(R(x,y,L(T(x,z),u,w)),v5) = K(x,v5). [hyper(8173,a,8786,a),flip(a)]. given #7755 (H,wt=19): 8789 T(x,R(y,z,L(T(y,u),w,v5))) = (K(y,x) / x) \ 1. [para(8787(a,1),4847(a,2,1,1))]. given #7756 (H,wt=15): 8790 T(x,R(y,z,L(T(y,u),w,v5))) = T(x,y). [hyper(236,a,4847,a,b,8789,a)]. given #7757 (H,wt=21): 7318 K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,x \ y)). [para(260(a,1),7260(a,1,1))]. given #7758 (H,wt=21): 7330 T(x,y) * K(z,T(T(x,y),u)) = T(x * K(T(z,u),x),y). [para(7260(a,1),5493(a,1,2))]. given #7759 (H,wt=21): 7375 (x * (y / z)) * K(z \ y,u) = x * T(y / z,T(u,z)). [para(7312(a,1),6201(a,1,2))]. given #7760 (H,wt=21): 7385 R(K(x,T(y,z)),x * u,w) = K(R(x,u,w),T(y,x \ z)). [para(7367(a,1),6678(a,1,1))]. given #7761 (H,wt=19): 8792 K(R(x,y,z),T(u,x \ w)) = K(R(x,y,z),T(u,w)). [hyper(236,a,6678,a(flip),b,7385,a(flip))]. given #7762 (H,wt=21): 7501 K(x,y / (z / R(x,u,w))) = K(x,y / (R(x,u,w) \ z)). [para(6360(a,1),7460(a,1,2))]. given #7763 (H,wt=21): 7523 T(T(x,1 / y),K(1 / y,z)) = x * K(x,1 / T(y,z)). [para(5653(a,2),7364(a,2,2))]. given #7764 (H,wt=19): 8794 T(T(x,1 / y),K(1 / y,z)) = T(x,1 / T(y,z)). [hyper(236,a,4887,a,b,7523,a)]. given #7765 (H,wt=15): 8796 T(x,1 / T(y,z)) = T(x,T(1 / y,z)). [hyper(7185,a,8794,a),flip(a)]. given #7766 (H,wt=18): 8797 T(x,1 / T(y,z)) != u | T(x,T(1 / y,z)) = u. [para(8794(a,1),7185(a,1))]. given #7767 (H,wt=19): 8795 T(T(x,1 / y),K(z,1 / y)) = T(x,1 / T(y,z)). [hyper(8002,a,8794,a)]. given #7768 (H,wt=21): 7585 (x * K(L(y \ 1,z,u) \ 1,w)) \ x = L(K(w,y),z,u). [hyper(236,a,5893,a(flip),b,7549,a)]. given #7769 (H,wt=17): 8799 (x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w). [para(5909(a,1),7585(a,1,1,2))]. given #7770 (H,wt=17): 8800 x / L(K(y,z),u,w) = x * L(K(z,y),u,w). [para(8799(a,1),62(a,1,2))]. given #7771 (H,wt=18): 8803 (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). [para(103(a,1),8799(a,1,1))]. given #7772 (H,wt=18): 8805 (x * (y * K(z,u))) * L(K(u,z),y,x) = x * y. [hyper(297,a,8800,a),flip(a)]. given #7773 (H,wt=20): 8801 x * L(K(y,z),u,w) != v5 | v5 * L(K(z,y),u,w) = x. [para(8799(a,1),86(a,1,2)),flip(b)]. given #7774 (H,wt=20): 8802 x / L(K(y,z),u,w) != v5 | x * L(K(z,y),u,w) = v5. [para(8799(a,1),294(a,1,2)),flip(b)]. given #7775 (H,wt=20): 8804 (x * ((x \ y) * K(z,u))) \ y = L(K(u,z),x \ y,x). [para(433(a,1),8799(a,1,1))]. given #7776 (H,wt=20): 8806 (x * (K(y,z) * u)) \ (x * u) = L(K(z,T(y,u)),u,x). [para(7249(a,1),8803(a,1,1,2))]. given #7777 (H,wt=20): 8809 (x * (K(y,z) * u)) * L(K(z,T(y,u)),u,x) = x * u. [para(7249(a,1),8805(a,1,1,2))]. given #7778 (H,wt=21): 7625 K(x \ y,x) * K(z,y / x) = x \ (y / T(y / x,z)). [hyper(72,a,7555,a(flip),b,5573,a(flip)),flip(a)]. given #7779 (H,wt=21): 7630 (x / (y / z)) * K(u,z \ y) = x / T(y / z,T(u,z)). [para(7313(a,1),7555(a,1,2))]. given #7780 (H,wt=21): 7663 (x / T(y,z)) * K(y,y \ x) = (y * (x / T(y,z))) / y. [para(7649(a,1),4854(a,2,2)),flip(a)]. given #7781 (H,wt=19): 8812 (x * (y / T(x,z))) / x = (x * (y / x)) / T(x,z). [hyper(236,a,6198,a(flip),b,7663,a(flip))]. given #7782 (H,wt=21): 7710 (x * (y * K(z,y))) * K(y,u) = (x * K(z,y)) * T(y,u). [para(7569(a,1),6201(a,1,1))]. given #7783 (H,wt=21): 7714 (x * (y * T(y \ (x \ z),u))) \ z = K(u,(x * y) \ z). [para(857(a,1),7588(a,1,1))]. given #7784 (H,wt=19): 8816 K(x,(y * K(x,z)) \ u) = (y * T(y \ u,x)) \ u. [para(7165(a,1),7714(a,1,1,2)),flip(a)]. given #7785 (H,wt=15): 8817 K(x,(y * K(x,z)) \ u) = K(x,y \ u). [hyper(236,a,7588,a(flip),b,8816,a)]. given #7786 (H,wt=15): 8818 K(x,((x \ y) * x) \ z) = K(x,y \ z). [para(247(a,1),8817(a,1,2,1)),flip(a)]. given #7787 (H,wt=15): 8820 K(x,(K(x,y) * z) \ u) = K(x,z \ u). [para(7281(a,1),8817(a,1,2,1))]. given #7788 (H,wt=13): 8826 K(x,y \ K(x,z)) = K(x,y \ 1). [hyper(6460,a,8820,a),flip(a)]. given #7789 (H,wt=15): 8821 K(x,(y * K(z,x)) \ u) = K(x,y \ u). [para(7540(a,1),8817(a,1,2,1)),flip(a)]. given #7790 (H,wt=15): 8822 K(x,(K(y,x) * z) \ u) = K(x,z \ u). [para(7551(a,1),8817(a,1,2,1)),flip(a)]. given #7791 (H,wt=15): 8830 K(x,y \ (K(x,z) * u)) = K(x,y \ u). [hyper(236,a,7243,a(flip),b,8822,a(flip)),flip(a)]. given #7792 (H,wt=13): 8832 K(x,y \ T(x,z)) = K(x,y \ x). [para(4897(a,2),8830(a,1,2,2))]. given #7793 (H,wt=15): 8833 K(x,y \ (z * x)) = K(x,y \ (x * z)). [para(4817(a,1),8830(a,1,2,2)),flip(a)]. given #7794 (H,wt=15): 8834 K(x,y \ ((x \ z) * x)) = K(x,y \ z). [para(4822(a,1),8830(a,1,2,2)),flip(a)]. given #7795 (H,wt=15): 8838 K(T(x,y),z \ x) = K(x,T(z,y) \ x). [hyper(6657,a,8832,a)]. given #7796 (H,wt=15): 8839 K(x,(x \ y) \ z) = K(x,y \ (z * x)). [hyper(236,a,8279,a,b,8833,a),flip(a)]. given #7797 (H,wt=15): 8841 K(x,T(y,z) \ x) = K(x,T(y \ x,z)). [hyper(7823,a,8838,a),flip(a)]. given #7798 (H,wt=15): 8845 K(x,y \ (((x \ y) * z) * x)) = K(x,z). [para(13(a,1),8839(a,1,2)),flip(a)]. given #7799 (H,wt=17): 8819 T(x,(y * K(x,z)) \ u) = x * K(x,y \ u). [para(8817(a,1),4887(a,2,2))]. given #7800 (H,wt=15): 8848 T(x,(y * K(x,z)) \ u) = T(x,y \ u). [hyper(236,a,4887,a,b,8819,a)]. given #7801 (H,wt=15): 8851 T(x,(y * x) \ z) = T(x,(x * y) \ z). [para(95(a,1),8848(a,1,2,1)),flip(a)]. given #7802 (H,wt=15): 8852 T(x,(K(y,x) * z) \ u) = T(x,z \ u). [para(7551(a,1),8848(a,1,2,1)),flip(a)]. given #7803 (H,wt=15): 8854 T(x,(y * x) \ z) = T(x,y \ (x \ z)). [hyper(236,a,8299,a(flip),b,8851,a)]. given #7804 (H,wt=15): 8855 T(x,y \ (K(z,x) * u)) = T(x,y \ u). [hyper(236,a,7832,a(flip),b,8852,a(flip))]. given #7805 (H,wt=13): 8860 T(x,y \ T(x,z)) = T(x,y \ x). [para(4845(a,1),8855(a,1,2,2)),flip(a)]. given #7806 (H,wt=13): 8862 T(x,y \ K(x,z)) = T(x,y \ 1). [para(5101(a,1),8855(a,1,2,2)),flip(a)]. given #7807 (H,wt=13): 8864 T(x,T(x,y) / z) = T(x,z \ x). [hyper(8332,a,8860,a)]. given #7808 (H,wt=15): 8859 T(x,y \ ((x \ z) * x)) = T(x,y \ z). [para(4804(a,1),8855(a,1,2,2))]. given #7809 (H,wt=15): 8861 T(x,y \ (z * x)) = T(x,y \ (x * z)). [para(4817(a,1),8855(a,1,2,2))]. given #7810 (H,wt=17): 8840 T(x,y \ ((x \ z) * x)) = x * K(x,y \ z). [para(8834(a,1),4887(a,2,2))]. given #7811 (H,wt=17): 8843 K(x,T(y,K(z,z \ x)) \ x) = K(x,y \ x). [para(5328(a,1),8838(a,1,1)),flip(a)]. given #7812 (H,wt=17): 8868 K(x,T(y,z \ (y \ u))) = K(x,T(y,z \ u)). [para(8859(a,1),7854(a,1,2)),flip(a)]. given #7813 (H,wt=17): 8871 K(x,T(y,(y * z) \ u)) = K(x,T(y,z \ u)). [para(8299(a,2),8868(a,1,2))]. given #7814 (H,wt=17): 8872 K(x * y,T(x,y \ z)) = K(x * y,T(x,z)). [hyper(7824,a,8871,a),flip(a)]. given #7815 (H,wt=17): 8873 K(x,T(y,(y \ z) \ u)) = K(x,T(y,z \ u)). [para(14(a,1),8871(a,1,2,2,1)),flip(a)]. given #7816 (H,wt=18): 8844 K(x,T(y,z) \ x) != u | K(x,T(y \ x,z)) = u. [para(8838(a,1),7823(a,1))]. given #7817 (H,wt=18): 8857 T(x,L(x \ y,x,z)) = T(x,z \ (x \ (z * y))). [para(105(a,2),8854(a,1,2))]. given #7818 (H,wt=19): 8823 K(x,(y * (z / x)) \ u) = K(x,(y * (x \ z)) \ u). [para(7544(a,1),8817(a,1,2,1))]. given #7819 (H,wt=19): 8829 K(T(x,y),(z * K(u,x)) \ w) = K(T(x,y),z \ w). [para(7314(a,1),8821(a,1,2,1,2))]. given #7820 (H,wt=19): 8835 K(x / y,z \ (x / y)) = K(x / y,z \ (y \ x)). [para(4968(a,1),8830(a,1,2,2)),flip(a)]. given #7821 (H,wt=19): 8837 K(x,T(y \ (K(x,z) * u),w)) = T(K(x,y \ u),w). [para(8830(a,1),7256(a,2,1))]. given #7822 (H,wt=19): 8853 T(x,(y * (z * x)) \ u) = T(x,(y * (x * z)) \ u). [para(7575(a,1),8848(a,1,2,1)),flip(a)]. given #7823 (H,wt=19): 8863 T(x,y \ ((z / x) \ u)) = T(x,y \ ((x \ z) \ u)). [para(5507(a,1),8855(a,1,2,2))]. given #7824 (H,wt=19): 8878 K(x / y,z \ (y \ x)) = K(y \ x,(z * y) \ x). [hyper(236,a,8239,a(flip),b,8835,a(flip))]. given #7825 (H,wt=19): 8879 K(x,T(y \ (K(x,z) * u),w)) = K(x,T(y \ u,w)). [hyper(236,a,7256,a,b,8837,a)]. given #7826 (H,wt=17): 8881 K(x,T(y \ T(x,z),u)) = K(x,T(y \ x,u)). [para(4897(a,2),8879(a,1,2,1,2))]. given #7827 (H,wt=17): 8882 K(x,T(T(x,y) \ z,u)) = K(x,T(x \ z,u)). [para(5191(a,1),8879(a,1,2,1)),flip(a)]. given #7828 (H,wt=20): 8874 K(x * y,T(x,y \ z)) != u | K(x * y,T(x,z)) = u. [para(8871(a,1),7824(a,1))]. given #7829 (H,wt=20): 8876 K(x \ y,T(x,y \ z)) != u | K(x \ y,T(x,z)) = u. [para(8873(a,1),7824(a,1))]. given #7830 (H,wt=21): 7728 (x * T(y,L(z,y,x))) \ (x * (y * z)) = T(L(z,y,x),y). [hyper(72,a,103,a(flip),b,7618,a)]. given #7831 (H,wt=21): 7773 (x * K(y,z)) * R(z,u,w) = x * (K(y,z) * R(z,u,w)). [para(7771(a,1),443(a,1,2,1))]. given #7832 (H,wt=11): 8885 R(x,K(y,z),R(z,u,w)) = x. [hyper(467,a,7773,a)]. given #7833 (H,wt=21): 7774 (x * K(y,z)) * L(z,u,w) = x * (K(y,z) * L(z,u,w)). [para(7771(a,1),444(a,1,2,1))]. given #7834 (H,wt=11): 8887 R(x,K(y,z),L(z,u,w)) = x. [hyper(467,a,7774,a)]. given #7835 (H,wt=13): 8888 R(x,K(y,z),L(T(z,u),w,v5)) = x. [para(7314(a,1),8887(a,1,2))]. given #7836 (H,wt=21): 7830 K(x,T(y * z,y)) != u | K(x,L(z \ 1,z,y) \ y) = u. [para(353(a,1),7297(a,1,2,1))]. given #7837 (H,wt=21): 7849 K(R(T(x,y),z,u),L(y,w,v5)) = K(R(x,z,u),L(y,w,v5)). [para(132(a,1),7311(a,2,2))]. given #7838 (H,wt=21): 7867 (x * T(y \ z,y)) * y = (x * (y \ z)) * (z / (z / y)). [para(4799(a,2),7619(a,1,2)),flip(a)]. given #7839 (H,wt=21): 7879 K(R(K(x,y) * z,u,w),y) = K(R(z * K(x,y),u,w),y). [para(7222(a,1),7851(a,1,1,1)),flip(a)]. given #7840 (H,wt=21): 7900 L(x,K(y,K(z,u)),u) = L(x,w / v5,(v5 * (w / v5)) \ w). [para(7885(a,1),4914(a,1,2))]. given #7841 (H,wt=21): 7903 K(K(R(x \ 1,y,z) \ 1,u),w) = R(K(x,K(u,w)),y,z). [hyper(236,a,5903,a(flip),b,7886,a)]. given #7842 (H,wt=17): 8892 R(K(x,K(y,z)),u,w) = K(R(K(x,y),u,w),z). [para(5903(a,1),7903(a,1,1)),flip(a)]. given #7843 (H,wt=21): 7940 K(x,K(R(y \ 1,z,u) \ 1,w)) = K(R(K(y,x),z,u),w). [para(5903(a,1),7922(a,1,1)),flip(a)]. given #7844 (H,wt=17): 8893 K(R(K(x,y),z,u),w) = K(y,R(K(x,w),z,u)). [para(5903(a,1),7940(a,1,2)),flip(a)]. given #7845 (H,wt=17): 8894 R(K(x,K(y,z)),u,w) = K(y,R(K(x,z),u,w)). [hyper(236,a,8892,a,b,8893,a(flip)),flip(a)]. given #7846 (H,wt=17): 8895 R(K(x,K(y,z)),u,w) = K(x,R(K(y,z),u,w)). [para(7919(a,1),8894(a,1,1))]. given #7847 (H,wt=19): 8896 x * R(K(x,K(y,z)),u,w) = T(x,R(K(y,z),u,w)). [para(8895(a,2),4887(a,2,2)),flip(a)]. given #7848 (H,wt=21): 7951 x \ T(x * y,K(z,u)) = y * K(z,K(u,(x \ 1) \ y)). [para(7923(a,2),6273(a,2,2))]. given #7849 (H,wt=21): 7952 x * (y * K(z,K(u,(x \ 1) \ y))) = T(x * y,K(z,u)). [para(7923(a,2),6304(a,1,2,2))]. given #7850 (H,wt=21): 8025 K(x,K(y,T(z,u))) \ K(y,x) = T(K(y,x),T(z,y \ u)). [para(7367(a,1),7892(a,1,1,2))]. given #7851 (H,wt=17): 8900 T(K(x,y),T(z,x \ u)) = T(K(x,y),T(z,u)). [hyper(7895,a,8025,a),flip(a)]. given #7852 (H,wt=17): 8901 T(K(x,y),T(z,x * u)) = T(K(x,y),T(z,u)). [para(13(a,1),8900(a,1,2,2)),flip(a)]. given #7853 (H,wt=21): 8090 L(K(x,y),z * T(x,u),w) = K(L(T(x,u),z,w),T(y,u)). [para(8054(a,1),6579(a,1,1))]. given #7854 (H,wt=17): 8903 L(K(x,y),z * T(x,u),w) = K(L(x,z,w),y). [hyper(236,a,8065,a(flip),b,8090,a)]. given #7855 (H,wt=15): 8905 L(K(x,y),x * z,u) = K(L(x,z,u),y). [para(119(a,1),8903(a,1,2))]. given #7856 (H,wt=13): 8909 K(L(x,y,z),y) = K(x,L(y,x,z)). [hyper(236,a,6584,a(flip),b,8905,a(flip))]. given #7857 (H,wt=14): 8907 K(L(x,y,z),x * y) = K(x,x * y). [hyper(7763,a,8905,a),flip(a)]. given #7858 (H,wt=19): 8906 K(L(x,T(x,y) \ 1,z),u) = L(K(x,u),K(y,x),z). [para(4835(a,2),8903(a,1,2)),flip(a)]. given #7859 (H,wt=21): 8091 R(K(x,y),T(y,z) * u,w) = K(T(x,z),R(T(y,z),u,w)). [para(8054(a,1),6824(a,1,1))]. given #7860 (H,wt=17): 8911 R(K(x,y),T(y,z) * u,w) = K(x,R(y,u,w)). [hyper(236,a,8077,a(flip),b,8091,a)]. given #7861 (H,wt=17): 8914 K(x,R(y,T(y,z) \ u,w)) = R(K(x,y),u,w). [para(14(a,1),8911(a,1,2)),flip(a)]. given #7862 (H,wt=17): 8915 R(K(x,y),K(z,y) * u,w) = R(K(x,y),u,w). [hyper(236,a,6827,a,b,8914,a(flip)),flip(a)]. given #7863 (H,wt=17): 8917 R(K(x,y),K(y,z) * u,w) = R(K(x,y),u,w). [para(5268(a,1),8915(a,1,2)),flip(a)]. given #7864 (H,wt=19): 8918 R(K(x,y),y \ K(y,z),u) = R(K(x,y),y \ 1,u). [para(5263(a,1),8915(a,1,2)),flip(a)]. given #7865 (H,wt=20): 8912 R(K(x,y),T(y,z) * u,w) != v5 | K(x,R(y,u,w)) = v5. [para(8091(a,2),8183(a,1))]. given #7866 (H,wt=18): 8920 R(K(x,y),y * z,u) != w | K(x,R(y,z,u)) = w. [para(118(a,1),8912(a,1,2,1))]. given #7867 (H,wt=21): 8131 K((x * K(y,z)) \ u,T(y,x)) = K(u / (x * K(y,z)),y). [para(7572(a,1),8068(a,1,2))]. given #7868 (H,wt=17): 8921 K(x \ y,T(z,x)) = K(y / (x * K(z,u)),z). [hyper(236,a,8687,a(flip),b,8131,a(flip)),flip(a)]. given #7869 (H,wt=15): 8922 K(x / (y * K(z,u)),z) = K(x / y,z). [hyper(8184,a,8921,a),flip(a)]. given #7870 (H,wt=15): 8924 K(x / (y * z),z) = K(x / (z * y),z). [para(95(a,1),8922(a,1,1,2)),flip(a)]. given #7871 (H,wt=21): 8139 K(T(x,y),(y * K(z,x)) \ u) = K(x,u / (y * K(z,x))). [para(7458(a,1),8078(a,1,1))]. given #7872 (H,wt=17): 8925 K(T(x,y),y \ z) = K(x,z / (y * K(u,x))). [hyper(236,a,8829,a(flip),b,8139,a(flip)),flip(a)]. given #7873 (H,wt=15): 8926 K(x,y / (z * K(u,x))) = K(x,y / z). [hyper(8185,a,8925,a),flip(a)]. given #7874 (H,wt=15): 8928 K(x,y / (z * x)) = K(x,y / (x * z)). [para(95(a,1),8926(a,1,2,2))]. given #7875 (H,wt=15): 8929 K(x,y / (z * K(x,u))) = K(x,y / z). [para(7540(a,1),8926(a,1,2,2)),flip(a)]. given #7876 (H,wt=21): 8140 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(T(y,x),z). [hyper(236,a,5054,a,b,8079,a(flip)),flip(a)]. given #7877 (H,wt=21): 8162 K(x,x \ y) * K(z,T(x,y)) = T(y / (y / x),z) \ x. [para(8124(a,1),6751(a,1,2))]. given #7878 (H,wt=21): 8227 K(x \ 1,y) * K(y,x \ K(x,z)) = K(x \ 1,K(y,z)). [para(8102(a,1),8039(a,1,2))]. given #7879 (H,wt=21): 8240 T(x,R((y * z) / y,u,w)) = x * K(T(x,y),R(z,u,w)). [para(813(a,2),8142(a,1,2))]. given #7880 (H,wt=21): 8258 K(x,K(y,z)) * (z * K(u,x)) = T(z * K(u,x),K(x,y)). [para(8217(a,1),7934(a,1,1))]. given #7881 (H,wt=19): 8934 T(x * K(y,z),K(z,u)) = T(x,K(z,u)) * K(y,z). [hyper(7946,a,8258,a),flip(a)]. given #7882 (H,wt=19): 8935 T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)). [hyper(6146,a,8934,a),flip(a)]. given #7883 (H,wt=19): 8938 T(x * K(y,z),K(z,u)) \ T(x,K(z,u)) = K(z,y). [para(8934(a,2),7549(a,1,1))]. given #7884 (H,wt=19): 8940 T(x,K(y,z)) \ T(x * K(y,u),K(y,z)) = K(y,u). [para(7540(a,1),8938(a,1,1,1))]. given #7885 (H,wt=19): 8941 T(x * K(y,z),K(y,u)) = T(x,K(y,u)) * K(y,z). [para(8940(a,1),14(a,1,2)),flip(a)]. given #7886 (H,wt=17): 8942 T(x * K(y,x),K(y,z)) = x * K(y,T(x,z)). [hyper(236,a,8040,a(flip),b,8941,a)]. given #7887 (H,wt=18): 8944 T(x * K(y,T(x,z)),y) != u | T(x,K(y,z)) = u. [para(8942(a,1),5036(a,1,1))]. given #7888 (H,wt=20): 8943 T(x * K(y,x),K(y,z)) != x * u | K(y,T(x,z)) = u. [para(8942(a,2),19(a,1))]. given #7889 (H,wt=21): 8274 (L(x,y,z) * u) * K(x,w) = L(x,y,z) * (u * K(x,w)). [para(8262(a,1),471(a,1,1,1)),flip(a)]. given #7890 (H,wt=13): 8945 L(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(7030,a,8274,a)]. given #7891 (H,wt=13): 8947 K(L(x,y,L(x,z,u)),w) = K(x,w). [hyper(236,a,8905,a(flip),b,8945,a(flip)),flip(a)]. given #7892 (H,wt=21): 8325 K((x * (y / x)) \ (y * z),y) = K(K(x \ y,x) * z,y). [para(6151(a,1),8319(a,1,1))]. given #7893 (H,wt=17): 8948 K(x \ (x * y),x) = K(K(z \ x,z) * y,x). [hyper(236,a,6632,a(flip),b,8325,a(flip)),flip(a)]. given #7894 (H,wt=13): 8949 K(K(x \ y,x) * z,y) = K(z,y). [hyper(8409,a,8948,a),flip(a)]. given #7895 (H,wt=21): 8349 (x * T(y,z \ y)) / T(x,y) = T(y,T(y * (z \ 1),x)). [para(1578(a,1),8248(a,1,1,2))]. given #7896 (H,wt=17): 8953 T(x,T(x * (y \ 1),z)) = T(x,T(y \ x,z)). [hyper(236,a,8248,a(flip),b,8349,a(flip))]. given #7897 (H,wt=21): 8359 K(x * (y / R(z,u,z)),z) = K(x * (R(z,u,z) \ y),z). [para(8311(a,1),7472(a,1,1,2)),flip(a)]. given #7898 (H,wt=20): 8954 K(x * (R(y,z,y) \ u),y) = K(x * (u / T(y,z)),y). [hyper(236,a,8761,a(flip),b,8359,a(flip))]. given #7899 (H,wt=14): 8955 K(x * (R(x,y,x) \ z),x) = K(z,x). [hyper(236,a,7665,a(flip),b,8954,a)]. given #7900 (H,wt=14): 8956 K(R(x,y,x) * z,x) = K(x * z,x). [para(13(a,1),8955(a,1,1,2)),flip(a)]. given #7901 (H,wt=14): 8957 K(x * R(y,z,y),y) = K(y * x,y). [hyper(236,a,7514,a(flip),b,8956,a(flip)),flip(a)]. given #7902 (H,wt=18): 8958 T(x,y * R(x,z,x)) = 1 / (x \ K(x * y,x)). [para(8957(a,1),5013(a,2,2,2))]. given #7903 (H,wt=14): 8959 T(x,y * R(x,z,x)) = T(x,x * y). [hyper(236,a,5013,a,b,8958,a)]. given #7904 (H,wt=16): 8960 T(x,y * R(x,z,x)) = x * K(x,x * y). [hyper(236,a,4887,a(flip),b,8959,a)]. given #7905 (H,wt=14): 8961 K(x,y * R(x,z,x)) = K(x,x * y). [hyper(4954,a,8960,a)]. given #7906 (H,wt=14): 8962 K(x,R(x,y,x) * z) = K(x,x * z). [hyper(236,a,7441,a,b,8961,a(flip)),flip(a)]. given #7907 (H,wt=17): 8963 K(R(x,y,x),R(x,z,x) * u) = K(x,x * u). [hyper(8346,a,8962,a)]. given #7908 (H,wt=21): 8392 K(x,T(y,z / R(x,u,w))) = K(x,T(y,R(x,u,w) \ z)). [para(121(a,1),8028(a,1,2,2)),flip(a)]. given #7909 (H,wt=21): 8434 K(x,K(y,z)) * (T(z,y) * u) = T(T(z,y),K(x,y)) * u. [para(4993(a,1),7945(a,1,1,2))]. given #7910 (H,wt=19): 8964 K(x,K(y,z)) * (T(z,y) * u) = T(z,T(y,x)) * u. [para(7982(a,1),8434(a,2,1))]. given #7911 (H,wt=21): 8437 x * (K(y,x) * K(y,K(z,u))) = (y * x) / T(y,K(z,u)). [hyper(5878,a,7972,a)]. given #7912 (H,wt=21): 8444 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,y \ x)). [para(4202(a,1),8064(a,1,1,1)),flip(a)]. given #7913 (H,wt=19): 8965 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,x)). [hyper(236,a,8792,a(flip),b,8444,a)]. given #7914 (H,wt=21): 8447 K(x * K(y,z),(x / u) \ 1) = K(K(y,z) * x,x \ u). [hyper(236,a,7697,a(flip),b,8073,a(flip))]. given #7915 (H,wt=17): 8967 K(K(x,y) * z,z \ x) = K(z,z \ T(x,y)). [hyper(236,a,6995,a(flip),b,8447,a(flip))]. given #7916 (H,wt=21): 8448 L(K(T(x,y),T(z,y)),u,w) = K(x,L(z,u / T(z,y),w)). [hyper(6583,a,8076,a)]. given #7917 (H,wt=17): 8968 K(x,L(y,z / T(y,u),w)) = L(K(x,y),z,w). [para(8054(a,1),8448(a,1,1)),flip(a)]. given #7918 (H,wt=15): 8970 L(K(x,y),y * z,u) = K(x,L(y,z,u)). [para(138(a,1),8968(a,1,2,2)),flip(a)]. given #7919 (H,wt=15): 8971 K(x,L(y,y \ z,u)) = L(K(x,y),z,u). [para(197(a,1),8968(a,1,2,2))]. given #7920 (H,wt=12): 8977 K(x,L(y,y \ 1,z)) = K(x,y). [hyper(236,a,325,a(flip),b,8971,a)]. given #7921 (H,wt=17): 8969 L(K(x,y),z * T(y,u),w) = K(x,L(y,z,w)). [para(15(a,1),8968(a,1,2,2)),flip(a)]. given #7922 (H,wt=17): 8974 L(K(x,y / z),y,u) = K(x,L(y / z,z,u)). [para(16(a,1),8970(a,1,2))]. given #7923 (H,wt=17): 8978 K(x,L(y,z * K(y,u),w)) = K(x,L(y,z,w)). [hyper(236,a,6589,a(flip),b,8969,a(flip)),flip(a)]. given #7924 (H,wt=17): 8980 K(x,L(y,K(y,z) * u,w)) = K(x,L(y,u,w)). [para(7281(a,1),8978(a,1,2,2))]. given #7925 (H,wt=21): 8462 T(x,K(y,z / y) / (z \ y)) = T(x,T(1 / (z \ y),y)). [para(5371(a,1),8168(a,1,2,1))]. given #7926 (H,wt=21): 8464 K(x * T(y,z),T(u,K(y,z))) = K(K(y,z) * (x * y),u). [para(8194(a,1),7260(a,1,1)),flip(a)]. given #7927 (H,wt=21): 8481 R(T(x / y,K(y,x)),z,x / y) = R(x / y,z,y \ x). [para(7172(a,2),8294(a,1,1))]. given #7928 (H,wt=21): 8482 T(x,y) * K(x * y,T(z,x)) = K(x * y,z) * T(x,y). [para(8333(a,1),7281(a,1,2))]. given #7929 (H,wt=21): 8485 T(x,y) * T(x \ K(x,z),x) = (x \ K(x,z)) * T(x,y). [para(8382(a,1),119(a,1,2))]. given #7930 (H,wt=21): 8491 (K(x,y) * T(x,K(z,u))) \ x = K(z,K(u,x)) * K(y,x). [para(7886(a,1),8455(a,2,1))]. given #7931 (H,wt=21): 8518 (x * (y * z)) * u != x * (z * y) | K(z,L(y,z,x)) = u. [para(7575(a,1),19(a,1)),flip(a)]. given #7932 (H,wt=21): 8536 K(x * K(y \ (x * z),x),u) = K(x,T(u,y \ (z * x))). [para(8534(a,1),8085(a,1,1,2))]. given #7933 (H,wt=19): 8983 K(x,T(y,z \ (u * x))) = K(x,T(y,z \ (x * u))). [hyper(8428,a,8536,a),flip(a)]. given #7934 (H,wt=21): 8539 K((x \ y) \ z,L(z,u,w)) = K(y \ (x * z),L(z,u,w)). [hyper(236,a,6568,a(flip),b,8537,a(flip))]. given #7935 (H,wt=21): 8551 K(L(x,y,z),(x \ u) \ w) = K(L(x,y,z),u \ (x * w)). [para(450(a,1),8550(a,1,2)),flip(a)]. given #7936 (H,wt=21): 8569 L(K(x \ y,x),y,z) != u | K(z \ (x \ (z * y)),x) = u. [para(6565(a,2),8562(a,1))]. given #7937 (H,wt=21): 8586 x * K(y / z,(z \ y) \ x) = (y / z) * (x / (y / z)). [para(7438(a,1),5079(a,1,2))]. given #7938 (H,wt=21): 8595 x * K(y \ z,x / (z / y)) = (y \ z) * (x / (y \ z)). [para(7601(a,2),250(a,1,2))]. given #7939 (H,wt=21): 8660 (x * y) * K(z,x \ (z \ (x * y))) = x * (z * (y / z)). [hyper(236,a,4671,a(flip),b,8352,a(flip))]. given #7940 (H,wt=21): 8668 (x * y) * K(x \ (z \ (x * y)),z) = x * ((z \ y) * z). [para(13(a,1),8380(a,2,2,1,2))]. given #7941 (H,wt=21): 8671 T(x,y) * (L(T(x,y),z,x) \ u) = x * (L(x,z,x) \ u). [para(8383(a,1),5207(a,1,2))]. given #7942 (H,wt=21): 8683 T(x,y) \ ((x \ 1) \ K(z,x)) = x * (K(z,x) / T(x,y)). [para(8492(a,1),4047(a,1,2)),flip(a)]. given #7943 (H,wt=21): 8715 K(x,T(y * (z / T(u,x)),w)) = K(x,T(y * (z / u),w)). [para(6197(a,1),8606(a,1,2,1,2)),flip(a)]. given #7944 (H,wt=21): 8723 T(x,R(T(y,y \ z),u,w)) = T(x,R(z / (z / y),u,w)). [para(4206(a,1),8647(a,1,2,1)),flip(a)]. given #7945 (H,wt=21): 8729 K((x * y) \ (z \ x),z) = (u * K(z,y \ (z \ 1))) \ u. [para(8728(a,1),7549(a,1,1,2)),flip(a)]. given #7946 (H,wt=17): 8987 K((x * y) \ (z \ x),z) = K(y \ (z \ 1),z). [hyper(236,a,7647,a(flip),b,8729,a)]. given #7947 (H,wt=17): 8988 K((x \ y) \ (z \ 1),z) = K(y \ (z \ x),z). [para(14(a,1),8987(a,1,1,1)),flip(a)]. given #7948 (H,wt=21): 8731 (x * y) * K(y \ (z \ (x * y)),z) = ((z \ x) * z) * y. [para(15(a,1),8666(a,1,1,1,2)),flip(a)]. given #7949 (H,wt=19): 8990 K(x,y / (((x \ z) * x) * u)) = K(x,y / (z * u)). [para(8731(a,1),8926(a,1,2,2))]. given #7950 (H,wt=19): 8991 K(x,y / ((z * x) * u)) = K(x,y / ((x * z) * u)). [para(13(a,1),8990(a,1,2,2,1,1))]. given #7951 (H,wt=21): 8735 K(x \ T(y,z),T(T(y,u),w)) = K(x \ y,T(T(y,u),w)). [para(8087(a,1),8704(a,1,1,2))]. given #7952 (H,wt=21): 8745 (((x \ y) * x) * z) \ (y * z) = K(x,z \ (x \ (y * z))). [para(15(a,1),8732(a,1,1,1,1,2))]. given #7953 (H,wt=21): 8757 (x / T(y \ 1,z)) * K(y \ 1,y) = x / T(1 / y,z). [para(3282(a,1),8755(a,1,2)),flip(a)]. given #7954 (H,wt=19): 8994 T(x,y / T(1 / z,u)) = T(x,y / T(z \ 1,u)). [para(8757(a,1),4476(a,1,2))]. given #7955 (H,wt=21): 8765 (x * L(y,z,y)) / T(T(x,y),u) = K(u,x) * L(y,z,y). [para(8301(a,1),8764(a,1,2,1))]. given #7956 (H,wt=21): 8781 K(x,(y * R(x,z,u)) / w) = K(x,y / (w / R(x,z,u))). [hyper(236,a,6812,a(flip),b,8779,a(flip)),flip(a)]. given #7957 (H,wt=21): 8791 T(x,y) * K(z,T(T(x,y),u)) = T(x * K(z,T(x,u)),y). [para(7260(a,1),7330(a,2,1,2))]. given #7958 (H,wt=21): 8793 K(R(x,y,z),T(u,w)) * K(T(u,x \ w),R(x,y,z)) = 1. [hyper(73,a,8792,a,b,7540,a),flip(a)]. given #7959 (H,wt=19): 8998 K(T(x,y \ z),R(y,u,w)) = K(T(x,z),R(y,u,w)). [hyper(5115,a,8793,a),flip(a)]. given #7960 (H,wt=21): 8807 (x * (y * K(z,u))) * w != x * y | L(K(u,z),y,x) = w. [para(8805(a,1),19(a,1)),flip(a)]. given #7961 (H,wt=21): 8808 (x * (y * K(z,u))) \ (x * y) != w | L(K(u,z),y,x) = w. [para(8805(a,1),283(a,1,2)),flip(b)]. given #7962 (H,wt=21): 8836 K(T(x,y),z \ T(T(x,u),y)) = K(T(x,y),z \ T(x,y)). [para(4966(a,1),8830(a,1,2,2))]. given #7963 (H,wt=21): 8875 K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(y \ z) \ u)). [hyper(236,a,7883,a,b,8873,a),flip(a)]. given #7964 (H,wt=21): 8883 K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ T(x,u),w)). [para(7328(a,1),8879(a,1,2,1,2))]. given #7965 (H,wt=19): 9000 K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ x,w)). [hyper(236,a,8881,a(flip),b,8883,a)]. given #7966 (H,wt=21): 8884 (x * T(y,L(z,y,x))) \ (x * (y * z)) = L(T(z,y),y,x). [hyper(236,a,40,a,b,7728,a)]. given #7967 (H,wt=21): 8886 x / (K(y,z) * R(z,u,w)) = (x / R(z,u,w)) * K(z,y). [hyper(236,a,7578,a(flip),b,8885,a(flip)),flip(a)]. given #7968 (H,wt=21): 8898 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w) \ 1)). [para(6791(a,1),8895(a,2,2))]. given #7969 (H,wt=21): 8910 L(K(x,y),T(x,z) * u,w) = K(L(T(x,z),u,w),T(y,z)). [para(8054(a,1),8905(a,1,1))]. given #7970 (H,wt=17): 9005 L(K(x,y),T(x,z) * u,w) = K(L(x,u,w),y). [hyper(236,a,8065,a(flip),b,8910,a)]. given #7971 (H,wt=17): 9008 K(L(x,T(x,y) \ z,u),w) = L(K(x,w),z,u). [para(14(a,1),9005(a,1,2)),flip(a)]. given #7972 (H,wt=14): 9009 K(L(x,T(x,y) \ 1,z),u) = K(x,u). [hyper(236,a,325,a(flip),b,9008,a)]. given #7973 (H,wt=12): 9010 L(K(x,y),K(z,x),u) = K(x,y). [hyper(236,a,8906,a(flip),b,9009,a(flip)),flip(a)]. given #7974 (H,wt=15): 9015 L(K(x,y),L(K(z,x),u,w),v5) = K(x,y). [para(5909(a,1),9010(a,1,2))]. given #7975 (H,wt=19): 9012 (x * K(y,z)) * K(z,u) = x * (K(y,z) * K(z,u)). [para(9010(a,1),103(a,1,2))]. given #7976 (H,wt=10): 9018 R(x,K(y,z),K(z,u)) = x. [hyper(467,a,9012,a)]. given #7977 (H,wt=12): 9021 R(x,T(K(y,z),u),K(z,w)) = x. [para(2061(a,1),9018(a,1,2))]. given #7978 (H,wt=13): 9023 R(x,L(K(y,z),u,w),K(z,v5)) = x. [para(5909(a,1),9018(a,1,2))]. given #7979 (H,wt=13): 9025 R(x,K(y,z),R(K(z,u),w,v5)) = x. [para(6797(a,1),9018(a,1,3))]. given #7980 (H,wt=14): 9026 R(x,T(K(y,z),u),T(K(z,w),v5)) = x. [para(5647(a,1),9021(a,1,3))]. given #7981 (H,wt=17): 9024 (x * y) \ (y * T(x,z)) = K(y,x) * K(x,z). [para(9018(a,1),6243(a,1,1))]. given #7982 (H,wt=16): 9031 K(x,y) * K(y,y \ x) = a(y,x / y,y). [hyper(236,a,4157,a(flip),b,9024,a(flip))]. given #7983 (H,wt=15): 9034 x \ R(x,x \ y,x) = a(x,y / x,x). [hyper(236,a,5640,a,b,9031,a(flip)),flip(a)]. given #7984 (H,wt=15): 9036 a(x,(x * y) / x,x) = x \ R(x,y,x). [para(13(a,1),9034(a,1,2,2)),flip(a)]. given #7985 (H,wt=13): 9037 x \ R(x,T(y,x),x) = a(x,y,x). [para(163(a,1),9036(a,1,2)),flip(a)]. given #7986 (H,wt=11): 9038 x \ R(x,y,x) = a(x,y,x). [para(4335(a,1),9037(a,1,2))]. given #7987 (H,wt=11): 9041 R(x,y,x) / x = a(x,y,x). [hyper(3691,a,9038,a)]. given #7988 (H,wt=11): 9044 x * a(x,y,x) = R(x,y,x). [para(9038(a,1),14(a,1,2))]. given #7989 (H,wt=11): 9046 a(x,y,x) * x = R(x,y,x). [para(9038(a,1),3690(a,1,1))]. given #7990 (H,wt=11): 9048 a(x,y,x) \ R(x,y,x) = x. [para(9041(a,1),65(a,1,1))]. given #7991 (H,wt=14): 9039 K(x * y,x) * K(x,y) = a(x,y,x). [hyper(5627,a,9038,a)]. given #7992 (H,wt=14): 9040 K(x,y) * K(x * y,x) = a(x,y,x). [hyper(5611,a,9038,a)]. given #7993 (H,wt=14): 9047 T(x * y,x) / x = y * a(x,y,x). [para(9038(a,1),8603(a,1,2)),flip(a)]. given #7994 (H,wt=14): 9050 R(x,y,x) != x * z | a(x,y,x) = z. [para(9044(a,1),19(a,1))]. given #7995 (H,wt=14): 9051 x \ R(x,y,x) != z | a(x,y,x) = z. [para(9044(a,1),283(a,1,2)),flip(b)]. given #7996 (H,wt=14): 9053 a(x,y,x) * K(y,x) = K(x * y,x). [hyper(7559,a,9039,a)]. given #7997 (H,wt=14): 9054 K(x,x * y) * a(x,y,x) = K(x,y). [hyper(5285,a,9039,a)]. given #7998 (H,wt=14): 9056 a(x,y,x) * K(x,x * y) = K(x,y). [para(9039(a,1),7538(a,1,1))]. given #7999 (H,wt=14): 9057 K(x,y) * a(y,x,y) = K(y * x,y). [hyper(5285,a,9040,a)]. given #8000 (H,wt=14): 9061 a(x,y,x) * (y * x) = T(x * y,x). [para(9040(a,1),6625(a,1,1))]. given #8001 (H,wt=14): 9062 a(x,y,x) \ K(x,y) = K(x,x * y). [para(9040(a,1),7549(a,1,1))]. given #8002 (H,wt=14): 9071 a(x,y,x) \ K(y * x,x) = K(y,x). [hyper(72,a,5559,a,b,9053,a)]. given #8003 (H,wt=14): 9079 K(x,y) * a(y,x,y) = K(x * y,y). [hyper(236,a,5559,a,b,9057,a)]. given #8004 (H,wt=15): 9042 T(x,y) \ R(T(x,y),z,x) = a(x,z,x). [hyper(236,a,7677,a,b,9038,a(flip)),flip(a)]. given #8005 (H,wt=15): 9080 a(x,y,x) * T(x,z) = R(T(x,z),y,x). [para(9042(a,1),3690(a,1,1))]. given #8006 (H,wt=16): 9035 a(x,y / x,x) \ K(y,x) = K(x \ y,x). [para(9031(a,1),7549(a,1,1))]. given #8007 (H,wt=16): 9043 K(x,y) * K(y,y \ x) = a(y,y \ x,y). [hyper(236,a,5640,a(flip),b,9038,a(flip)),flip(a)]. given #8008 (H,wt=16): 9065 (x \ y) * a(x,x \ y,x) = T(y,x) / x. [para(14(a,1),9047(a,1,1,1)),flip(a)]. given #8009 (H,wt=16): 9066 T(x * a(y,x,y),y) = y \ T(y * x,y). [para(9047(a,1),121(a,1,1))]. given #8010 (H,wt=16): 9076 K(x,y) * a(x,x \ y,x) = K(x,x \ y). [para(14(a,1),9054(a,1,1,2))]. given #8011 (H,wt=16): 9078 a(x,x \ y,x) * K(x,y) = K(x,x \ y). [para(14(a,1),9056(a,1,2,2))]. given #8012 (H,wt=17): 9030 (x * y) \ (y * T(x,z)) = K(x,z) * K(y,x). [hyper(236,a,2192,a,b,9024,a)]. given #8013 (H,wt=17): 9055 a(x,y,x) * K(y,x) != z | K(x * y,x) = z. [para(9039(a,1),7577(a,1,1)),flip(b)]. given #8014 (H,wt=17): 9058 K(x,y) * a(y,x,y) != z | K(y * x,y) = z. [para(9040(a,1),5271(a,1,2)),flip(b)]. given #8015 (H,wt=17): 9063 a(x,y,x) \ K(x,y) != z | K(x,x * y) = z. [para(9040(a,1),7560(a,1,1))]. given #8016 (H,wt=17): 9069 K(x,y) * K(x * y,x) != z | a(x,y,x) = z. [para(5407(a,2),9051(a,1))]. given #8017 (H,wt=17): 9070 K(x * y,x) * K(x,y) != z | a(x,y,x) = z. [para(5626(a,2),9051(a,1))]. given #8018 (H,wt=18): 9029 x * T(K(y,z),u) != w | w * T(K(z,y),u) = x. [para(9026(a,1),6880(a,1)),flip(a)]. given #8019 (H,wt=18): 9045 x * a(x,y,x) != z * u | z \ R(x,y,x) = u. [para(9038(a,1),367(a,1,2))]. given #8020 (H,wt=18): 9049 a(x,y,x) \ R(x,y,x) != z * u | x / u = z. [para(9041(a,1),569(a,1,1))]. given #8021 (H,wt=18): 9059 K(x,y \ 1) * K(y \ x,x) = a(x,y \ 1,x). [para(5413(a,1),9040(a,1,2))]. given #8022 (H,wt=18): 9072 a(x,y \ 1,x) \ K(y \ x,x) = K(y \ 1,x). [hyper(72,a,5413,a(flip),b,9053,a)]. given #8023 (H,wt=19): 9017 (x * (K(y,z) * K(z,u))) * K(u,z) = x * K(y,z). [hyper(7559,a,9012,a)]. given #8024 (H,wt=12): 9085 L(K(x,y),K(z,y),u) = K(x,y). [hyper(8807,a,9017,a)]. given #8025 (H,wt=19): 9020 (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). [para(2192(a,2),9012(a,2,2))]. given #8026 (H,wt=19): 9082 K(x,y) * a(x,x \ y,x) != z | K(x,x \ y) = z. [para(9043(a,1),5271(a,1,2)),flip(b)]. given #8027 (H,wt=19): 9086 (x * (K(y,z) * K(u,y))) * K(z,y) = x * K(u,y). [para(2192(a,2),9017(a,1,1,2))]. given #8028 (H,wt=19): 9090 (x * (K(y,z) * K(u,y))) * (K(z,y) * K(y,u)) = x. [hyper(18,a,9017,a,b,9086,a(flip)),flip(a)]. given #8029 (H,wt=19): 9093 x / (K(y,z) * K(z,u)) = x * (K(z,y) * K(u,z)). [hyper(87,a,9090,a)]. given #8030 (H,wt=20): 9006 L(K(x,y),T(x,z) * u,w) != v5 | K(L(x,u,w),y) = v5. [para(8910(a,2),8181(a,1))]. given #8031 (H,wt=20): 9019 x * (K(y,z) * K(z,z * y)) = (x / R(z,y,z)) * z. [hyper(236,a,8777,a(flip),b,9012,a(flip))]. given #8032 (H,wt=17): 9095 (x / R(y,z,y)) * y = x * (y \ L(y,z,y)). [para(5712(a,1),9019(a,1,2)),flip(a)]. given #8033 (H,wt=13): 9096 R(x,y,x) \ x = x \ L(x,y,x). [hyper(70,a,9095,a(flip),b,6854,a(flip))]. given #8034 (H,wt=13): 9097 x / R(x,y,x) = x \ L(x,y,x). [hyper(70,a,9095,a(flip),b,1914,a(flip))]. given #8035 (H,wt=15): 9098 x \ (x \ L(x,y,x)) = R(x,y,x) \ 1. [hyper(72,a,9096,a(flip),b,1504,a)]. given #8036 (H,wt=20): 9032 (x * y) \ (y * T(x,z)) != u | K(x,z) * K(y,x) = u. [para(9024(a,2),2197(a,1))]. given #8037 (H,wt=20): 9083 (x * y) \ (y * T(x,z)) != u | K(y,x) * K(x,z) = u. [para(9030(a,2),2193(a,1))]. given #8038 (H,wt=21): 8931 ((x * (y * K(z,y))) / x) / ((x * y) / x) = K(T(z,x),y). [para(4854(a,1),8140(a,1,1,1,2))]. given #8039 (H,wt=21): 8932 K(x \ 1,y) * K(y,x \ K(x,z)) = K(y,K(z,x \ 1)). [hyper(236,a,7923,a,b,8227,a)]. given #8040 (H,wt=21): 8936 T(T(x,y),K(y,z)) * K(u,y) = T(x * K(u,y),T(y,z)). [hyper(236,a,7178,a(flip),b,8934,a(flip))]. given #8041 (H,wt=19): 9104 T(x * K(y,z),T(z,u)) = T(x,T(z,u)) * K(y,z). [para(7135(a,1),8936(a,1,1)),flip(a)]. given #8042 (H,wt=19): 9105 T(K(x,y) * z,T(x,u)) = K(x,y) * T(z,T(x,u)). [hyper(6146,a,9104,a),flip(a)]. given #8043 (H,wt=21): 8939 K(x,K(y,z)) * T(y,K(x,u)) = T(T(y,K(x,z)),K(x,u)). [para(7925(a,1),8935(a,1,1)),flip(a)]. given #8044 (H,wt=21): 8952 (K(x \ y,x) * z) * K(z,y) = T(K(x \ y,x) * z,y). [para(8949(a,1),4887(a,2,2)),flip(a)]. given #8045 (H,wt=19): 9106 T(K(x \ y,x) * z,y) = K(x \ y,x) * T(z,y). [hyper(6258,a,8952,a),flip(a)]. given #8046 (H,wt=21): 8976 L(K(x,y),T(y,z) * u,w) = K(x,L(y,K(y,z) * u,w)). [para(4856(a,1),8970(a,1,2))]. given #8047 (H,wt=17): 9108 L(K(x,y),T(y,z) * u,w) = K(x,L(y,u,w)). [hyper(236,a,8980,a(flip),b,8976,a)]. given #8048 (H,wt=21): 8995 L(x,y / T(1 / z,u),w) = L(x,y / T(z \ 1,u),w). [para(8757(a,1),6997(a,1,2))]. given #8049 (H,wt=21): 8996 K(x,(y * R(x,z,u)) / w) = K(x,y / (R(x,z,u) \ w)). [hyper(236,a,7501,a(flip),b,8781,a)]. given #8050 (H,wt=21): 8997 T(x,y) \ T(x * K(z,T(x,u)),y) = K(z,T(T(x,y),u)). [hyper(80,a,8791,a)]. given #8051 (H,wt=21): 9003 x / R(y * K(z,y),u,y) = (x / R(y,u,y)) * K(y,z). [para(7846(a,2),8886(a,1,2))]. given #8052 (H,wt=21): 9052 (x * y) \ (x * R(y,z,y)) != u | L(a(y,z,y),y,x) = u. [para(9044(a,1),447(a,1,2,2))]. given #8053 (H,wt=21): 9084 K(x,y \ 1) * K(y \ x,x) != z | a(x,y \ 1,x) = z. [para(5413(a,1),9069(a,1,2))]. given #8054 (H,wt=21): 9089 (x / y) * (K(y,z) * K(u,y)) = (x / T(y,u)) * K(y,z). [para(7555(a,1),9020(a,1,1)),flip(a)]. given #8055 (H,wt=20): 9112 (x / y) * (K(y,z) * K(y * z,y)) = x / L(y,z,y). [hyper(236,a,8758,a(flip),b,9089,a)]. given #8056 (H,wt=15): 9113 (x / y) * a(y,z,y) = x / L(y,z,y). [para(9040(a,1),9112(a,1,2))]. given #8057 (H,wt=15): 9114 (x * y) / L(y,z,y) = x * a(y,z,y). [para(15(a,1),9113(a,1,1)),flip(a)]. given #8058 (H,wt=15): 9115 (x / L(y,z,y)) * y = x * a(y,z,y). [hyper(1666,a,9114,a)]. given #8059 (H,wt=15): 9116 (x * a(y,z,y)) \ (x * y) = L(y,z,y). [para(9114(a,1),65(a,1,1))]. given #8060 (H,wt=11): 9119 a(x,y,x) \ x = L(x,y,x). [hyper(3622,a,9116,a)]. given #8061 (H,wt=15): 9118 (x * L(y,z,y)) * a(y,z,y) = x * y. [para(15(a,1),9115(a,1,1)),flip(a)]. given #8062 (H,wt=16): 9121 (T(x * y,x) / x) \ (y * x) = L(x,y,x). [para(9047(a,2),9116(a,1,1))]. given #8063 (H,wt=18): 9117 (x / y) * a(y,z,y) != u | x / L(y,z,y) = u. [para(9114(a,1),379(a,1))]. given #8064 (H,wt=21): 9102 K(T(x,y),z) * ((y * z) / y) = (y * (z * K(x,z))) / y. [para(8931(a,1),16(a,1,1))]. given #8065 (H,wt=21): 9111 K(T(x,y) \ T(z,y),T(z,u)) = K(x \ z,T(T(z,u),y)). [hyper(6655,a,8997,a)]. given #8066 (H,wt=19): 9126 K(T(x,y) \ z,T(z,u)) = K(x \ z,T(T(z,u),y)). [hyper(236,a,8705,a(flip),b,9111,a(flip)),flip(a)]. given #8067 (H,wt=21): 9124 ((x * y) / x) / ((x * (y * K(z,y))) / x) = K(y,T(z,x)). [para(9102(a,1),5266(a,1,2))]. given #8068 (H,wt=21): 9129 ((x * y) / x) / ((x * ((z * y) / z)) / x) = K(y,T(z,x)). [para(4854(a,2),9124(a,1,2,1,2))]. given #8069 (H,wt=22): 7136 x \ (y * T(x,z)) != K(x,z) * u | T(T(y,x),K(x,z)) = u. [para(7132(a,2),169(a,2)),flip(a)]. given #8070 (H,wt=22): 7182 x \ T(L(y,x \ 1,x),K(x,z)) = T((x \ 1) * y,K(x,z)). [para(392(a,1),7170(a,2,1))]. given #8071 (H,wt=19): 9132 T((x \ 1) * y,K(x,z)) = (x \ 1) * T(y,K(x,z)). [hyper(794,a,7182,a),flip(a)]. given #8072 (H,wt=22): 7253 T(x,T((y * x) / z,z / x)) != u | T(x,(z / x) \ y) = u. [para(740(a,1),7226(a,1,2))]. given #8073 (H,wt=17): 9134 T(x,T((y * x) / z,z)) = T(x,(z / x) \ y). [hyper(7253,a,8476,a),flip(a)]. given #8074 (H,wt=15): 9135 T(x,(y / x) \ z) = T(x,y \ (z * x)). [para(121(a,1),9134(a,1,2)),flip(a)]. given #8075 (H,wt=22): 7263 L(T(K(x,(y \ z) \ u),w),u,y) = K(x,T(z \ (y * u),w)). [hyper(236,a,6613,a,b,7256,a),flip(a)]. given #8076 (H,wt=22): 7287 x * (y * K(z,T(u,x * y))) = L(K(z,u),y,x) * (x * y). [para(7256(a,2),606(a,1,2,2))]. given #8077 (H,wt=22): 7292 T(x,y) * K(z,T(u,x)) != w | K(x,y) * (K(z,u) * x) = w. [para(7256(a,2),5256(a,1,2))]. given #8078 (H,wt=21): 9139 K(x,y) * (K(x * y,z) * x) = K(x * y,z) * T(x,y). [hyper(7292,a,8482,a)]. given #8079 (H,wt=22): 7374 K((x \ y) \ z,y \ x) != u | K(z / (x \ y),y \ x) = u. [para(7312(a,1),5446(a,1))]. given #8080 (H,wt=22): 7461 K(L(x,y,z),u * K(w,x)) = L(x,y,z) \ L(T(x,u),y,z). [para(7458(a,1),4888(a,1,2,1)),flip(a)]. given #8081 (H,wt=17): 9140 K(L(x,y,z),u * K(w,x)) = K(L(x,y,z),u). [hyper(236,a,4888,a(flip),b,7461,a)]. given #8082 (H,wt=17): 9141 K(L(x,y,z),K(u,x) * w) = K(L(x,y,z),w). [para(7249(a,1),9140(a,1,2))]. given #8083 (H,wt=20): 9142 K(L(x,y,z),L(K(u,x),w,v5) * v6) = K(L(x,y,z),v6). [para(5909(a,1),9141(a,1,2,1))]. given #8084 (H,wt=22): 7498 (T(x,y) * z) * K(x * z,x) != u | T(T(x,y) * z,x) = u. [para(7483(a,1),4890(a,1,2))]. given #8085 (H,wt=22): 7512 K((x \ y) \ z,x \ y) != u | K((y / x) \ z,x \ y) = u. [para(5757(a,1),7504(a,1,1))]. given #8086 (H,wt=22): 7539 T(x,K(y,z)) != K(y,z) * u | T(K(z,y) * x,K(y,z)) = u. [para(7395(a,1),169(a,2)),flip(a)]. given #8087 (H,wt=22): 7603 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * T(x,z),x). [para(7573(a,1),6208(a,1,1)),flip(a)]. given #8088 (H,wt=20): 9144 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * x,x). [para(7606(a,1),7603(a,2,2))]. given #8089 (H,wt=17): 9145 x \ R(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(236,a,5628,a(flip),b,9144,a)]. given #8090 (H,wt=15): 9147 a(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(9051,a,9145,a)]. given #8091 (H,wt=16): 9148 a(x,y * K(x,z),x) != u | a(x,y,x) = u. [para(9147(a,2),9051(a,1))]. given #8092 (H,wt=22): 7673 (x \ T(y,z)) * K(z,(x \ 1) \ (x \ y)) != u | x \ y = u. [para(6272(a,1),7577(a,1,1)),flip(b)]. given #8093 (H,wt=22): 7709 (x * K(y,z)) * z != u * w | (x * (z * K(y,z))) / w = u. [para(7569(a,2),555(a,1))]. given #8094 (H,wt=22): 7726 L(K(x * (y \ z),x),y \ z,y) = K((y * (x \ 1)) \ z,x). [para(7720(a,1),6569(a,1,1))]. given #8095 (H,wt=22): 7730 (x * T(y,z)) * T(z,y) != u * w | ((x * y) * z) / w = u. [para(7618(a,2),555(a,1))]. given #8096 (H,wt=22): 7834 K((x \ y) \ z,y / x) != u | K((y / x) \ z,y / x) = u. [para(121(a,1),7511(a,1,1,1))]. given #8097 (H,wt=22): 7836 ((x / T(y,z)) * K(y,z)) \ (x / T(y,u)) != w | K(u,y) = w. [para(6197(a,2),7627(a,1,1))]. given #8098 (H,wt=22): 7850 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(T(x,y),w). [para(1929(a,1),7311(a,1,1)),flip(a)]. given #8099 (H,wt=22): 7865 ((x * T(y,z)) * z) / (T(y,z) * z) = R(x,y,z * K(y,z)). [hyper(74,a,7619,a(flip),b,5301,a)]. given #8100 (H,wt=18): 9150 R(x,y,z * K(y,z)) != u | R(x,T(y,z),z) = u. [para(7865(a,1),475(a,1))]. given #8101 (H,wt=22): 7910 (x * K(y,z)) * K(y,K(z,u)) != w | x * T(K(y,z),u) = w. [para(7886(a,1),6258(a,1,2))]. given #8102 (H,wt=22): 8050 (x * (y * K(z,u))) / (x * y) = L(K(z,T(u,x * y)),y,x). [para(7979(a,1),5041(a,1,1)),flip(a)]. given #8103 (H,wt=22): 8123 K(x / ((y * z) \ y),z) != u | K(((y * z) \ y) \ x,z) = u. [para(8061(a,1),7393(a,1))]. given #8104 (H,wt=22): 8127 K(L(x \ y,x,z),T(u,z * x)) = K((z * y) / (z * x),u). [para(105(a,2),8068(a,1,1))]. given #8105 (H,wt=20): 9152 K(L(x \ y,x,z),T(x,z)) = K((z * y) / (z * x),x). [hyper(236,a,7270,a(flip),b,8127,a(flip)),flip(a)]. given #8106 (H,wt=22): 8129 K(L(x \ y,x,z / x),T(u,z)) = K(((z / x) * y) / z,u). [para(453(a,2),8068(a,1,1))]. given #8107 (H,wt=22): 8133 K(x,(y * (z * u)) / (y * z)) = K(x,T(L(u,z,y),y * z)). [para(28(a,2),8069(a,1,2,1)),flip(a)]. given #8108 (H,wt=22): 8134 K(x,T(L(y \ z,y,u),u * y)) = K(x,(u * z) / (u * y)). [para(105(a,2),8069(a,1,2,1))]. given #8109 (H,wt=22): 8135 K(x,L(T(y \ z,u * y),y,u)) = K(x,(u * z) / (u * y)). [para(456(a,1),8069(a,1,2))]. given #8110 (H,wt=22): 8249 K(x,T(y,z)) * (z * x) != u * w | (z * T(x,y)) / w = u. [para(8156(a,2),555(a,1))]. given #8111 (H,wt=22): 8268 K(x,y) * z != x * (u * K(x,y)) | T(x * u,K(x,y)) = z. [para(8232(a,1),169(a,2))]. given #8112 (H,wt=22): 8387 R(T(x,y),z,x) \ T(T(x,y) * z,T(x,y)) = T(z,T(x,y)). [para(8355(a,1),1513(a,1,1))]. given #8113 (H,wt=22): 8430 K(L(x * K(y,x),z,u),w) != v5 | K(L(x,z,u),T(w,y)) = v5. [para(5038(a,2),8410(a,1,1))]. given #8114 (H,wt=22): 8446 K(T(x,L(x,y,z) * u),T(w,u)) = K(L(x,u,L(x,y,z)),w). [para(1473(a,1),8065(a,1,1))]. given #8115 (H,wt=22): 8449 K(T(x,y),T(z,L(z,u,w) * y)) = K(x,L(z,y,L(z,u,w))). [para(1473(a,1),8076(a,1,2))]. given #8116 (H,wt=22): 8452 K(x,T(T(y,z),z * x)) != u | K(T(z * x,x) / z,y) = u. [para(8082(a,1),8184(a,1))]. given #8117 (H,wt=22): 8483 K(x,y) * (x \ L(x,z,x)) != u | x \ L(T(x,y),z,x) = u. [para(8354(a,1),5198(a,1,2))]. given #8118 (H,wt=22): 8520 K(x \ 1,x) * (y * K(x,x \ 1)) != z * u | y / u = z. [para(2516(a,2),7579(a,1))]. given #8119 (H,wt=22): 8521 (K(x,y) * z) * K(y,x) != u * w | T(z,K(x,y)) / w = u. [para(7994(a,1),7579(a,1,1))]. given #8120 (H,wt=22): 8522 x \ (y * K(z,T(x,u))) != w | T(y / T(x,T(z,u)),x) = w. [para(7260(a,1),7653(a,1,2,2))]. given #8121 (H,wt=22): 8524 (T(x,y) / z) \ (x / z) != u | K(y,(1 / z) \ (x / z)) = u. [para(1605(a,1),7669(a,1,1))]. given #8122 (H,wt=22): 8526 L(T(K(x,y \ z),u),y \ z,w) = T(K(x,(z \ y) \ 1),u). [para(7751(a,1),40(a,2,1))]. given #8123 (H,wt=22): 8541 K(x,y) * K(y,K(z,T(x,u))) != w | T(K(x,y),T(z,u)) = w. [para(7953(a,2),7904(a,1,2))]. given #8124 (H,wt=22): 8566 K(x,K(y,z)) * (K(z,y) * u) != w | K(z,T(y,x)) * u = w. [para(5843(a,2),8555(a,1))]. given #8125 (H,wt=22): 8580 x * K(y,(1 / x) * (z * x)) = K(y,L(z,x,x \ 1)) * x. [para(2924(a,1),7354(a,1,2,2))]. given #8126 (H,wt=22): 8581 K(x,T(y,z)) * u != z * K(x,T(y,z)) | T(z,K(x,y)) = u. [para(7361(a,1),19(a,1)),flip(a)]. given #8127 (H,wt=22): 8600 R(x,y \ 1,y) / T((y \ 1) \ 1,z) = x * (T(y,z) \ 1). [para(8598(a,1),4524(a,1,1))]. given #8128 (H,wt=22): 8621 T(x \ y,(x \ y) \ z) != u | T(x \ y,(y / x) \ z) = u. [para(5757(a,1),8615(a,1,2))]. given #8129 (H,wt=22): 8642 T(x,y) * T(y,T(z,x)) != u | x * T(y * K(x,y),z) = u. [para(8639(a,1),5355(a,1,2))]. given #8130 (H,wt=22): 8649 K(x,y) * z != (x * T(u,T(x,y))) * K(x,y) | u * x = z. [para(8206(a,2),19(a,1)),flip(a)]. given #8131 (H,wt=22): 8657 (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)) != w | K(x,u) = w. [para(8336(a,1),283(a,1,2)),flip(b)]. given #8132 (H,wt=22): 8670 (x * ((y \ (x \ z)) * y)) \ z != u | K(y,x \ (y \ z)) = u. [para(8380(a,1),7560(a,1,1))]. given #8133 (H,wt=15): 9161 K(x,(y * x) \ z) = K(x,y \ (x \ z)). [hyper(8670,a,7589,a),flip(a)]. given #8134 (H,wt=18): 9162 K(x,(y * x) \ z) != u | K(x,y \ (x \ z)) = u. [para(7589(a,1),8670(a,1))]. given #8135 (H,wt=18): 9163 K(x,L(x \ y,x,z)) = K(x,z \ (x \ (z * y))). [para(105(a,2),9161(a,1,2))]. given #8136 (H,wt=20): 9164 K(x,y \ (x \ (y * (z * x)))) = K(x,L(T(z,x),x,y)). [para(178(a,1),9161(a,1,2)),flip(a)]. given #8137 (H,wt=18): 9167 K(x,y \ (x \ (y * (z * x)))) = K(x,L(z,x,y)). [hyper(236,a,5005,a(flip),b,9164,a)]. given #8138 (H,wt=21): 9168 K(x,y \ (x \ (y * (z * x)))) != u | K(x,L(z,x,y)) = u. [para(9164(a,2),5140(a,1))]. given #8139 (H,wt=22): 8709 K((x * (y * z)) \ ((x * z) * y),z) = K(a(x,z,T(y,z)),z). [para(173(a,1),8702(a,1,1)),flip(a)]. given #8140 (H,wt=22): 8725 K(x,K(y,y \ z)) != u | K(x,z / y) * K(y \ z,x) = u. [para(8650(a,1),2197(a,1))]. given #8141 (H,wt=22): 8733 K(((x \ 1) * (y * x)) \ z,x) = K(L(y,x,x \ 1) \ z,x). [hyper(236,a,5930,a(flip),b,8688,a)]. given #8142 (H,wt=22): 8768 K(x,T(y,L(x,z,u) * (u * z))) = K(x,T(y,u * (z * x))). [para(4982(a,1),8767(a,1,2,2))]. given #8143 (H,wt=22): 8770 x * K(L(K(y,z),T(z,u),w),x) = T(z,K(y,x)) * (z \ x). [hyper(236,a,8634,a,b,8391,a(flip)),flip(a)]. given #8144 (H,wt=22): 8771 K(x * L(y,z,u),y) * K(y,x) = y \ R(y,x,L(y,z,u)). [hyper(72,a,8624,a(flip),b,5186,a),flip(a)]. given #8145 (H,wt=22): 8775 K(x,y) * T(T(z,x),u) != w | T(K(x,y) * T(z,u),x) = w. [para(38(a,1),8774(a,1,2))]. given #8146 (H,wt=22): 8827 K(x,(y * z) \ ((K(x,u) * y) * z)) = K(x,a(K(x,u),y,z)). [para(24(a,2),8820(a,1,2)),flip(a)]. given #8147 (H,wt=21): 9172 K(x,R(T(K(x,y),z * u),z,u)) = K(x,a(K(x,y),z,u)). [para(615(a,1),8827(a,1,2))]. given #8148 (H,wt=10): 9173 K(x,a(K(x,y),z,u)) = 1. [hyper(236,a,5654,a(flip),b,9172,a(flip))]. given #8149 (H,wt=10): 9175 T(x,a(K(x,y),z,u)) = x. [hyper(37,a,9173,a)]. given #8150 (H,wt=15): 9176 T(a(K(x,y),z,u),x) = a(K(x,y),z,u). [hyper(35,a,9175,a)]. given #8151 (H,wt=17): 9177 a(K(x,y),z,u) * x = x * a(K(x,y),z,u). [para(9175(a,1),119(a,1,2))]. given #8152 (H,wt=21): 9178 K(x,y) * a(K(x,z),u,w) = a(K(x,z),u,w) * K(x,y). [para(9175(a,1),7249(a,1,2,1)),flip(a)]. given #8153 (H,wt=21): 9179 K(a(K(x,y),z,u),w) * x = x * K(a(K(x,y),z,u),w). [para(9176(a,1),7249(a,1,2,1)),flip(a)]. given #8154 (H,wt=22): 8897 x * R(K(x,K(y,z)),u,w) != v5 | T(x,R(K(y,z),u,w)) = v5. [para(8895(a,2),4890(a,1,2))]. given #8155 (H,wt=22): 8908 K(L(x,y,z),(z \ u) \ (x * y)) = K(x,u \ (z * (x * y))). [hyper(236,a,6595,a(flip),b,8905,a(flip))]. given #8156 (H,wt=22): 8966 K(R(x,y / x,z),T(u,y)) = K((y * z) / ((y / x) * z),u). [para(114(a,1),8965(a,1,1)),flip(a)]. given #8157 (H,wt=22): 8973 K((x \ y) \ (z * u),L(z,u,x)) = K(y \ (x * (z * u)),z). [hyper(236,a,6568,a(flip),b,8970,a(flip))]. given #8158 (H,wt=22): 8975 (x * (y * z)) * K(u,L(y,z,x)) = x * ((y * z) * K(u,y)). [para(8970(a,1),103(a,1,2))]. given #8159 (H,wt=12): 9182 K(x,L(y,z,T(x,u))) = K(x,y). [hyper(17,a,8273,a,b,8975,a)]. given #8160 (H,wt=16): 9185 K(x,T(L(y,z,T(x,u)),w)) = K(x,T(y,w)). [para(40(a,1),9182(a,1,2))]. given #8161 (H,wt=22): 8989 L(K((x \ y) \ (z \ 1),z),z \ 1,u) = K(y \ (z \ x),z). [hyper(6953,a,8988,a)]. given #8162 (H,wt=17): 9186 K(x \ (y * (z \ 1)),z) = K(x \ (z \ y),z). [hyper(236,a,6568,a(flip),b,8989,a(flip)),flip(a)]. given #8163 (H,wt=22): 9013 (x * K(y,z)) * K(z,u) != w | x * (K(y,z) * K(z,u)) = w. [para(9010(a,1),219(a,1,2))]. given #8164 (H,wt=22): 9091 (x * (K(y,z) * K(u,y))) * K(z,y) != w * K(u,y) | w = x. [para(9086(a,2),20(a,2)),flip(a)]. given #8165 (H,wt=22): 9094 (x * (K(y,z) * K(u,y))) * w != x | K(z,y) * K(y,u) = w. [para(9090(a,1),19(a,1)),flip(a)]. given #8166 (H,wt=22): 9122 (x * L(y,z,y)) * a(y,z,y) != u * w | u \ (x * y) = w. [para(9118(a,2),545(a,1))]. given #8167 (H,wt=22): 9137 L(K(x,T((y \ z) \ u,w)),u,y) = K(x,T(z \ (y * u),w)). [para(7256(a,2),7263(a,1,1))]. given #8168 (H,wt=19): 9187 K(x,T((y \ z) \ x,u)) = K(x,T(z \ (y * x),u)). [hyper(6253,a,9137,a)]. given #8169 (H,wt=22): 9149 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(x,T(w,y)). [hyper(236,a,7260,a(flip),b,7850,a)]. given #8170 (H,wt=16): 9188 K(x,T(y,z * R(x,u,w))) = K(x,T(y,z)). [hyper(236,a,8782,a(flip),b,9149,a(flip)),flip(a)]. given #8171 (H,wt=16): 9190 K(x,T(y,z / R(x,u,w))) = K(x,T(y,z)). [para(16(a,1),9188(a,1,2,2)),flip(a)]. given #8172 (H,wt=16): 9191 K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w)). [hyper(236,a,8392,a(flip),b,9190,a(flip)),flip(a)]. given #8173 (H,wt=16): 9193 K(x,T(y,R(x,z,u) * w)) = K(x,T(y,w)). [para(13(a,1),9191(a,1,2,2)),flip(a)]. given #8174 (H,wt=20): 9195 K(x,T(y,R(x,z,u) * w)) = K(x,y) * K(x,K(y,w)). [hyper(236,a,7883,a,b,9193,a)]. given #8175 (H,wt=16): 9196 K(x,K(y,R(x,z,u) * w)) = K(x,K(y,w)). [hyper(8024,a,9195,a)]. given #8176 (H,wt=13): 9199 K(x,K(y,x * z)) = K(x,K(y,z)). [para(338(a,1),9196(a,1,2,2,1))]. given #8177 (H,wt=13): 9201 K(x,K(y,y * z)) = K(y,K(x,z)). [hyper(7921,a,9199,a)]. given #8178 (H,wt=13): 9203 K(x,K(y,x \ z)) = K(x,K(y,z)). [para(14(a,1),9199(a,1,2,2)),flip(a)]. given #8179 (H,wt=13): 9204 K(x,K(y,y * z)) = K(x,K(y,z)). [hyper(236,a,7919,a,b,9201,a)]. given #8180 (H,wt=13): 9205 K(x,K(x \ y,z)) = K(x,K(z,y)). [hyper(7971,a,9203,a)]. given #8181 (H,wt=13): 9206 K(x,K(y,x \ z)) = K(x,K(z,y)). [hyper(236,a,7937,a,b,9203,a)]. given #8182 (H,wt=13): 9207 K(x,K(y,x \ z)) = K(z,K(x,y)). [hyper(236,a,7923,a(flip),b,9203,a)]. given #8183 (H,wt=13): 9208 K(x,K(y,y \ z)) = K(x,K(y,z)). [para(14(a,1),9204(a,1,2,2)),flip(a)]. given #8184 (H,wt=13): 9209 K(x,K(y,z * y)) = K(x,K(y,z)). [para(6605(a,2),9204(a,1,2))]. given #8185 (H,wt=13): 9210 K(x,K(y,z / y)) = K(x,K(y,z)). [para(6606(a,1),9204(a,1,2)),flip(a)]. given #8186 (H,wt=13): 9211 K(x,K(x \ y,z)) = K(x,K(y,z)). [hyper(236,a,7937,a,b,9205,a)]. given #8187 (H,wt=13): 9212 K(x,K(y,y \ z)) = K(y,K(z,x)). [hyper(7921,a,9206,a)]. given #8188 (H,wt=13): 9219 K(x,K(x * y,z)) = K(x,K(y,z)). [para(13(a,1),9211(a,1,2,1)),flip(a)]. given #8189 (H,wt=13): 9222 K(x,K(y * z,y)) = K(y,K(z,x)). [hyper(7908,a,9219,a)]. given #8190 (H,wt=13): 9223 K(x,K(x * y,z)) = K(y,K(x,z)). [hyper(236,a,7919,a,b,9219,a)]. given #8191 (H,wt=15): 9202 K(x,K(y,T(x,z) * u)) = K(x,K(y,u)). [hyper(236,a,8215,a,b,9199,a(flip)),flip(a)]. given #8192 (H,wt=15): 9215 K(x,K(y,z \ 1)) = K(x,K(y,z \ y)). [para(5078(a,1),9208(a,1,2))]. given #8193 (H,wt=15): 9216 K(x,K(y \ z,y)) = K(x,K(z / y,z)). [para(5558(a,1),9208(a,1,2))]. given #8194 (H,wt=15): 9227 K(x,K(y / z,y)) = K(x,K(z,z \ y)). [hyper(7971,a,9216,a),flip(a)]. given #8195 (H,wt=13): 9228 K(x,K(y / z,y)) = K(x,K(z,y)). [hyper(236,a,9208,a(flip),b,9227,a)]. given #8196 (H,wt=13): 9229 K(x,K(y / z,y)) = K(y,K(x,z)). [hyper(236,a,7923,a(flip),b,9228,a)]. given #8197 (H,wt=13): 9230 K(x,K(y \ z,z)) = K(x,K(y,z)). [para(62(a,1),9228(a,1,2,1)),flip(a)]. given #8198 (H,wt=13): 9231 K(x,K(y,y / z)) = K(y,K(x,z)). [hyper(7971,a,9229,a)]. given #8199 (H,wt=13): 9232 K(x,K(y,x / z)) = K(x,K(y,z)). [hyper(7939,a,9229,a)]. given #8200 (H,wt=13): 9233 K(x,K(y,z \ y)) = K(x,K(z,y)). [hyper(7971,a,9230,a)]. given #8201 (H,wt=13): 9234 K(x,K(y \ z,z)) = K(z,K(y,x)). [hyper(236,a,7885,a,b,9230,a)]. given #8202 (H,wt=13): 9235 K(x,K(y,x / z)) = K(x,K(z,y)). [hyper(236,a,7937,a,b,9232,a)]. given #8203 (H,wt=13): 9237 K(x,K(y,z \ y)) = K(x,K(y,z)). [hyper(236,a,7937,a,b,9233,a)]. given #8204 (H,wt=13): 9238 K(x,K(y,z \ 1)) = K(x,K(z,y)). [hyper(236,a,9215,a,b,9233,a(flip)),flip(a)]. given #8205 (H,wt=13): 9241 K(x / y,K(x,z)) = K(x,K(y,z)). [hyper(7939,a,9235,a)]. given #8206 (H,wt=13): 9242 K(x,K(y,z \ 1)) = K(x,K(y,z)). [hyper(236,a,9215,a,b,9237,a(flip)),flip(a)]. given #8207 (H,wt=13): 9244 K(x,K(y \ 1,z)) = K(x,K(y,z)). [hyper(7971,a,9238,a)]. given #8208 (H,wt=13): 9245 K(K(x,y \ 1),z) = K(x,K(y,z)). [hyper(7947,a,9238,a)]. given #8209 (H,wt=13): 9246 K(x \ 1,K(y,z)) = K(y,K(x,z)). [hyper(7939,a,9238,a)]. given #8210 (H,wt=13): 9247 K(x,K(y,z \ 1)) = K(z,K(x,y)). [hyper(236,a,7919,a,b,9238,a)]. given #8211 (H,wt=13): 9248 K(x,K(y,1 / z)) = K(x,K(z,y)). [para(5223(a,2),9238(a,1,2))]. given #8212 (H,wt=13): 9249 K(x,K(y \ 1,z)) = K(x,K(z,y)). [para(5233(a,1),9238(a,1,2)),flip(a)]. given #8213 (H,wt=13): 9252 K(x / y,K(x,z)) = K(y,K(x,z)). [hyper(236,a,7919,a,b,9241,a)]. given #8214 (H,wt=13): 9253 K(x,K(y \ 1,z)) = K(z,K(x,y)). [hyper(7960,a,9242,a)]. given #8215 (H,wt=13): 9254 K(x \ 1,K(y,z)) = K(y,K(z,x)). [hyper(7939,a,9242,a)]. given #8216 (H,wt=13): 9256 K(x,K(y,1 / z)) = K(x,K(y,z)). [para(65(a,1),9242(a,1,2,2)),flip(a)]. given #8217 (H,wt=13): 9262 K(x,K(y \ 1,z)) = K(y,K(x,z)). [hyper(236,a,7919,a,b,9244,a)]. given #8218 (H,wt=13): 9265 K(1 / x,K(y,z)) = K(y,K(x,z)). [hyper(5393,a,9246,a)]. given #8219 (H,wt=13): 9266 K(x \ 1,K(y,z)) = K(x,K(y,z)). [hyper(236,a,7919,a,b,9246,a)]. given #8220 (H,wt=13): 9268 K(1 / x,K(y,z)) = K(y,K(z,x)). [para(65(a,1),9247(a,1,2,2)),flip(a)]. given #8221 (H,wt=13): 9269 K(x,K(y,1 / z)) = K(z,K(x,y)). [para(5223(a,2),9247(a,1,2))]. given #8222 (H,wt=15): 9239 T(x,K(y,z \ x)) = x * K(x,K(z,y)). [para(9234(a,1),7933(a,1,2)),flip(a)]. given #8223 (H,wt=13): 9279 T(x,K(y,z \ x)) = T(x,K(y,z)). [hyper(7976,a,9239,a(flip)),flip(a)]. given #8224 (H,wt=13): 9280 T(x,K(y,x / z)) = T(x,K(y,z)). [hyper(6434,a,9279,a)]. given #8225 (H,wt=15): 9250 K(x,K(y,z / (u * z))) = K(x,K(u,y)). [para(5797(a,2),9238(a,1,2))]. given #8226 (H,wt=13): 9282 K(x,K(y,z * x)) = K(x,K(z,y)). [hyper(236,a,9232,a(flip),b,9250,a(flip)),flip(a)]. given #8227 (H,wt=13): 9284 K(x,K(y,z * x)) = K(z,K(x,y)). [hyper(236,a,7919,a,b,9282,a)]. given #8228 (H,wt=15): 9251 K(x,K(y \ z,u)) = K(x,K(u,z \ y)). [para(6408(a,1),9238(a,1,2)),flip(a)]. given #8229 (H,wt=15): 9257 K(x,K(y,z / u)) = K(x,K(y,u / z)). [para(5795(a,1),9242(a,1,2))]. given #8230 (H,wt=15): 9258 K(x,K(y,z \ u)) = K(x,K(y,u \ z)). [para(6408(a,1),9242(a,1,2))]. given #8231 (H,wt=13): 9288 K(x,K(y,z \ x)) = K(z,K(x,y)). [hyper(236,a,9207,a(flip),b,9258,a)]. given #8232 (H,wt=15): 9261 T(x,K(y,z \ 1)) = K(y,K(x,z)) * x. [para(9242(a,1),7925(a,1,1)),flip(a)]. given #8233 (H,wt=13): 9290 T(x,K(y,z \ 1)) = T(x,K(z,y)). [hyper(236,a,7942,a(flip),b,9261,a)]. given #8234 (H,wt=13): 9291 T(x,K(y,z \ 1)) = T(x,K(y,z)). [hyper(236,a,7925,a(flip),b,9261,a)]. given #8235 (H,wt=13): 9292 T(x,K(y \ 1,z)) = T(x,K(y,z)). [hyper(8002,a,9290,a)]. given #8236 (H,wt=13): 9293 T(x,K(y \ 1,z)) = T(x,K(z,y)). [para(5233(a,1),9290(a,1,2)),flip(a)]. given #8237 (H,wt=15): 9267 T(1 / x,K(y,z)) = K(y,K(x,z)) / x. [hyper(74,a,9246,a(flip),b,5156,a),flip(a)]. given #8238 (H,wt=15): 9285 T(x,K(y * z,z)) = K(z,K(y,x)) * x. [para(9282(a,1),7942(a,1,1)),flip(a)]. given #8239 (H,wt=13): 9301 T(x,K(y * z,z)) = T(x,K(y,z)). [hyper(236,a,7894,a(flip),b,9285,a)]. given #8240 (H,wt=13): 9303 T(x,K(y,z * y)) = T(x,K(z,y)). [hyper(8002,a,9301,a)]. given #8241 (H,wt=13): 9304 T(x,K(y,y * z)) = T(x,K(z,y)). [para(6605(a,1),9303(a,1,2))]. given #8242 (H,wt=13): 9305 T(x,K(y,y * z)) = T(x,K(y,z)). [hyper(236,a,7981,a,b,9304,a)]. given #8243 (H,wt=11): 9309 T(x,K(y,y * T(x,z))) = x. [hyper(236,a,6441,a(flip),b,9305,a)]. given #8244 (H,wt=13): 9306 T(x,K(y \ z,y)) = T(x,K(y,z)). [para(14(a,1),9304(a,1,2,2)),flip(a)]. given #8245 (H,wt=13): 9310 T(x,K(y,y \ z)) = T(x,K(y,z)). [para(14(a,1),9305(a,1,2,2)),flip(a)]. given #8246 (H,wt=13): 9311 T(x,K(y,z / y)) = T(x,K(y,z)). [para(6606(a,1),9305(a,1,2)),flip(a)]. given #8247 (H,wt=13): 9313 T(x,K(y \ z,y)) = T(x,K(z,y)). [hyper(236,a,7981,a,b,9306,a)]. given #8248 (H,wt=13): 9315 T(x,K(y,y \ z)) = T(x,K(z,y)). [hyper(236,a,7981,a,b,9310,a)]. given #8249 (H,wt=15): 9294 T(x,K(y \ z,u)) = T(x,K(u,z \ y)). [para(6408(a,1),9290(a,1,2)),flip(a)]. given #8250 (H,wt=13): 9320 T(x,K(y \ z,z)) = T(x,K(z,y)). [hyper(236,a,9310,a(flip),b,9294,a)]. given #8251 (H,wt=13): 9321 T(x,K(y,z \ y)) = T(x,K(y,z)). [hyper(236,a,9306,a(flip),b,9294,a(flip))]. given #8252 (H,wt=13): 9324 T(x,K(y,y / z)) = T(x,K(z,y)). [para(65(a,1),9320(a,1,2,1)),flip(a)]. given #8253 (H,wt=15): 9295 T(T(x,y),K(y,z)) = T(x,T(y,z \ 1)). [hyper(7185,a,9291,a),flip(a)]. given #8254 (H,wt=13): 9328 T(x,T(y,z \ 1)) = T(x,T(y,z)). [hyper(7185,a,9295,a),flip(a)]. given #8255 (H,wt=15): 9297 T(x,K(y,z \ u)) = T(x,K(y,u \ z)). [para(6408(a,1),9291(a,1,2))]. given #8256 (H,wt=13): 9331 T(x,K(y,x \ z)) = T(x,K(y,z)). [hyper(236,a,9279,a(flip),b,9297,a)]. given #8257 (H,wt=13): 9332 T(x,K(y,z / x)) = T(x,K(y,z)). [hyper(236,a,7362,a,b,9331,a(flip)),flip(a)]. given #8258 (H,wt=13): 9333 T(x,K(y,x * z)) = T(x,K(y,z)). [para(13(a,1),9331(a,1,2,2)),flip(a)]. given #8259 (H,wt=13): 9334 T(x,K(y,z * x)) = T(x,K(y,z)). [para(15(a,1),9332(a,1,2,2)),flip(a)]. given #8260 (H,wt=13): 9335 T(x,K(y,x * z)) = T(x,K(z,y)). [hyper(236,a,7981,a,b,9333,a)]. given #8261 (H,wt=13): 9336 T(x,K(y,z * x)) = T(x,K(z,y)). [hyper(236,a,7981,a,b,9334,a)]. given #8262 (H,wt=13): 9339 T(x,K(y * x,z)) = T(x,K(y,z)). [hyper(8002,a,9336,a)]. given #8263 (H,wt=15): 9300 1 / T(x,K(y,z)) = T(1 / x,K(y,z)). [hyper(236,a,7959,a(flip),b,9267,a),flip(a)]. given #8264 (H,wt=15): 9317 T(x,K(y,z / y)) = T(x,K(y,y * z)). [hyper(236,a,9305,a,b,9311,a)]. given #8265 (H,wt=15): 9327 T(T(x,y / z),K(z,y)) = T(x,z \ y). [hyper(236,a,8329,a(flip),b,9324,a(flip))]. given #8266 (H,wt=15): 9330 T(x,T(y,z \ 1)) = x * K(x,T(y,z)). [hyper(236,a,4887,a(flip),b,9328,a)]. given #8267 (H,wt=13): 9343 K(x,T(y,z \ 1)) = K(x,T(y,z)). [hyper(4954,a,9330,a)]. given #8268 (H,wt=13): 9346 K(x,T(y,z \ x)) = K(x,T(y,z)). [hyper(236,a,8474,a(flip),b,9343,a(flip)),flip(a)]. given #8269 (H,wt=13): 9347 K(x,T(y,1 / z)) = K(x,T(y,z)). [para(65(a,1),9343(a,1,2,2)),flip(a)]. given #8270 (H,wt=13): 9352 K(x,T(y,x / z)) = K(x,T(y,z)). [para(65(a,1),9346(a,1,2,2)),flip(a)]. given #8271 (H,wt=15): 9342 T(T(x,K(y,z)),y / z) = T(x,z \ y). [hyper(236,a,7985,a,b,9327,a(flip)),flip(a)]. given #8272 (H,wt=15): 9344 K(x * y,T(z,y)) = K(x * y,T(z,x)). [hyper(7842,a,9343,a),flip(a)]. given #8273 (H,wt=15): 9345 K(x,T(y * z,z)) = K(x,T(y * z,y)). [hyper(7816,a,9343,a)]. given #8274 (H,wt=15): 9348 K(x,T(y,z \ u)) = K(x,T(y,u \ z)). [para(6361(a,1),9343(a,1,2))]. given #8275 (H,wt=15): 9354 T(T(x,K(y,z)),y \ z) = T(x,z / y). [para(5845(a,1),9342(a,1,1)),flip(a)]. given #8276 (H,wt=15): 9355 T(T(x,K(y,z)),z \ y) = T(x,y / z). [para(7983(a,1),9342(a,1,1)),flip(a)]. given #8277 (H,wt=16): 9198 K(x,K(y,R(x,z,u) \ w)) = K(x,K(y,w)). [para(14(a,1),9196(a,1,2,2)),flip(a)]. given #8278 (H,wt=16): 9213 K(x,K(y,x \ z)) != u | K(x,K(y,z)) = u. [para(9206(a,2),7971(a,1))]. given #8279 (H,wt=16): 9217 K(x,K(y,z * y)) != u | K(x,K(z,y)) = u. [para(9209(a,2),7971(a,1))]. given #8280 (H,wt=16): 9221 K(x,K(y,y \ z)) != u | K(x,K(y,z)) = u. [para(9212(a,2),7939(a,1))]. given #8281 (H,wt=16): 9224 K(x,K(x * y,z)) != u | K(y,K(x,z)) = u. [para(9219(a,2),7921(a,1))]. given #8282 (H,wt=16): 9226 K(x,K(x * y,z)) != u | K(x,K(y,z)) = u. [para(9223(a,2),7921(a,1))]. given #8283 (H,wt=16): 9240 K(x,K(y \ z,z)) != u | K(x,K(y,z)) = u. [para(9234(a,2),7908(a,1))]. given #8284 (H,wt=16): 9243 K(x,K(y,z \ y)) != u | K(x,K(z,y)) = u. [para(9237(a,2),7971(a,1))]. given #8285 (H,wt=16): 9271 K(x,K(y,1 / z)) != u | K(z,K(x,y)) = u. [para(9248(a,2),7921(a,1))]. given #8286 (H,wt=16): 9272 K(x,K(y,1 / z)) != u | K(x,K(y,z)) = u. [para(9248(a,2),7971(a,1))]. given #8287 (H,wt=16): 9273 K(x / y,K(x,z)) != u | K(x,K(y,z)) = u. [para(9252(a,2),7921(a,1))]. given #8288 (H,wt=16): 9275 K(x,K(y,1 / z)) != u | K(x,K(z,y)) = u. [para(9256(a,2),7971(a,1))]. given #8289 (H,wt=16): 9277 K(1 / x,K(y,z)) != u | K(y,K(x,z)) = u. [para(9268(a,2),7971(a,1))]. given #8290 (H,wt=16): 9299 T(x,K(y \ 1,z)) != u | T(x,K(z,y)) = u. [para(9292(a,2),8002(a,1))]. given #8291 (H,wt=16): 9302 T(x,K(y * z,z)) != u | T(x,K(y,z)) = u. [para(9285(a,2),7897(a,1))]. given #8292 (H,wt=16): 9314 T(x,K(y \ z,y)) != u | T(x,K(z,y)) = u. [para(9306(a,2),8002(a,1))]. given #8293 (H,wt=16): 9316 T(x,K(y,y \ z)) != u | T(x,K(z,y)) = u. [para(9310(a,2),8002(a,1))]. given #8294 (H,wt=16): 9318 T(x,K(y,z)) != u | T(x,K(z,z \ y)) = u. [para(9313(a,1),8002(a,1))]. given #8295 (H,wt=16): 9319 T(x,K(y,y \ z)) != u | T(x,K(y,z)) = u. [para(9315(a,2),8002(a,1))]. given #8296 (H,wt=16): 9326 T(x,K(y,z \ y)) != u | T(x,K(z,y)) = u. [para(9321(a,2),8002(a,1))]. given #8297 (H,wt=16): 9329 T(x,T(y,z \ 1)) != u | T(x,T(y,z)) = u. [para(9295(a,1),7185(a,1))]. given #8298 (H,wt=16): 9357 K(x,T(y,z \ x)) != u | K(x,T(y,z)) = u. [para(9348(a,1),7824(a,1))]. given #8299 (H,wt=16): 9359 K(x,K(y,z \ R(x,u,w))) = K(x,K(y,z)). [hyper(236,a,9258,a,b,9198,a(flip)),flip(a)]. given #8300 (H,wt=16): 9360 K(x,K(y,z / y)) != u | K(x,K(y,z)) = u. [para(4994(a,2),9221(a,1,2))]. given #8301 (H,wt=16): 9363 T(x,K(y,z)) != u | T(x,K(y,y * z)) = u. [para(13(a,1),9319(a,1,2,2))]. given #8302 (H,wt=16): 9364 T(x,K(y,z / y)) != u | T(x,K(y,z)) = u. [para(4994(a,2),9319(a,1,2))]. given #8303 (H,wt=16): 9365 T(x,K(y \ z,z)) != u | T(x,K(z,y)) = u. [para(9294(a,2),9319(a,1))]. given #8304 (H,wt=16): 9366 T(x,K(y,y / z)) != u | T(x,K(z,y)) = u. [para(5304(a,2),9326(a,1,2))]. given #8305 (H,wt=16): 9368 K(x,T(y,z \ 1)) != u | K(x,T(y,z)) = u. [para(8474(a,2),9357(a,1))]. given #8306 (H,wt=16): 9371 K(x,K(y,R(x,z,u) / w)) = K(x,K(y,w)). [para(65(a,1),9359(a,1,2,2)),flip(a)]. given #8307 (H,wt=16): 9373 K(x,T(y,1 / z)) != u | K(x,T(y,z)) = u. [para(3019(a,2),9368(a,1,2))]. given #8308 (H,wt=17): 9200 K(x,K(y,(x * z) * u)) = K(x,K(y,z * u)). [para(113(a,1),9196(a,1,2,2))]. given #8309 (H,wt=17): 9214 K(x,y / z) * K(z \ y,x) = K(x,K(z,y)). [hyper(8725,a,9208,a)]. given #8310 (H,wt=17): 9218 K(x,K(y \ z,T(y,u))) = K(y,K(z,T(x,u))). [hyper(8036,a,9211,a)]. given #8311 (H,wt=17): 9236 K(x,K(y,z)) * K(x / z,y) = K(z \ x,y). [para(9232(a,1),6308(a,1,1))]. given #8312 (H,wt=17): 9260 K(x,y) * K(x,K(y,z)) = T(K(x,y),z \ 1). [para(9242(a,1),7881(a,1,2))]. given #8313 (H,wt=13): 9383 T(K(x,y),z \ 1) = T(K(x,y),z). [hyper(7904,a,9260,a),flip(a)]. given #8314 (H,wt=16): 9384 T(K(x,y),z \ 1) != u | T(K(x,y),z) = u. [para(9260(a,1),7904(a,1))]. given #8315 (H,wt=17): 9270 K(x,K(y,z)) * (x \ 1) = T(x \ 1,K(y,z)). [para(9247(a,1),7934(a,1,1))]. given #8316 (H,wt=15): 9387 T(x,K(y,z)) \ 1 = T(x \ 1,K(y,z)). [hyper(7970,a,9270,a)]. given #8317 (H,wt=17): 9289 K(x,K(y,z)) * (x \ y) = T(x \ y,K(y,z)). [para(9288(a,1),7934(a,1,1))]. given #8318 (H,wt=15): 9388 T(x,K(y,z)) \ y = T(x \ y,K(y,z)). [hyper(7970,a,9289,a)]. given #8319 (H,wt=17): 9307 T(T(x,K(y,z)),z * y) = T(x,T(z * y,z)). [para(9304(a,1),7995(a,1,1))]. given #8320 (H,wt=17): 9308 T(x * y,K(x,x * z)) = x * T(y,K(x,z)). [hyper(236,a,7161,a(flip),b,9305,a)]. given #8321 (H,wt=17): 9312 T(K(x,x * T(y,z)),y) = K(x,x * T(y,z)). [hyper(35,a,9309,a)]. given #8322 (H,wt=17): 9323 T(x * K(y / z,x),z \ y) = T(x,K(y,z)). [hyper(236,a,8442,a,b,9320,a(flip)),flip(a)]. given #8323 (H,wt=17): 9337 T(T(x,y),K(z,x * u)) = T(T(x,K(u,z)),y). [para(9335(a,1),38(a,1,1)),flip(a)]. given #8324 (H,wt=15): 9392 T(T(x,y),K(z,x * y)) = T(x,T(y,z)). [hyper(236,a,7138,a(flip),b,9337,a)]. given #8325 (H,wt=17): 9338 T(T(x,K(y,z)),x * y) = T(x,T(x * y,z)). [para(9335(a,1),7995(a,1,1))]. given #8326 (H,wt=17): 9341 T(x,K(y,z / T(y,u))) = T(x,K(y,y * z)). [para(7600(a,2),9317(a,1,2))]. given #8327 (H,wt=17): 9349 (x \ 1) * K(y,T(z,x)) = K(y,z) * (x \ 1). [para(9343(a,1),7281(a,1,2))]. given #8328 (H,wt=17): 9350 K(x,T(y,z)) * (z \ 1) = (z \ 1) * K(x,y). [para(9343(a,1),8047(a,1,1))]. given #8329 (H,wt=17): 9351 K(x,T(x \ y,z \ y)) = K(x,T(x \ y,z)). [hyper(236,a,7880,a,b,9346,a(flip)),flip(a)]. given #8330 (H,wt=17): 9353 (x \ y) * K(y,T(z,x)) = K(y,z) * (x \ y). [para(9346(a,1),7281(a,1,2))]. given #8331 (H,wt=17): 9377 K(x,K(y,(y * z) * u)) = K(y,K(x,z * u)). [hyper(7921,a,9200,a)]. given #8332 (H,wt=17): 9379 K(x,K(y,z)) * K(x,y \ z) = K(x,z / y). [hyper(7559,a,9214,a)]. given #8333 (H,wt=17): 9380 K(x,y \ z) * K(x,K(y,z)) = K(x,z / y). [para(9214(a,1),5288(a,1,2))]. given #8334 (H,wt=17): 9382 K(x,K(y,z)) * K(y / x,z) = K(x \ y,z). [para(7923(a,1),9236(a,1,1))]. given #8335 (H,wt=17): 9390 x * T(x \ y,K(x,z)) = T(y,K(x,x * z)). [para(14(a,1),9308(a,1,1)),flip(a)]. given #8336 (H,wt=17): 9394 T(T(x,K(y,z)),y * x) = T(x,T(x * y,z)). [hyper(4283,a,9338,a)]. given #8337 (H,wt=17): 9398 K(x,K(y,z)) * K(x,z / y) = K(x,y \ z). [hyper(7968,a,9379,a)]. given #8338 (H,wt=17): 9400 K(x,K(y,z)) * K(y,z \ x) = K(y,x / z). [para(7923(a,1),9379(a,1,1))]. given #8339 (H,wt=17): 9401 K(x,K(y,z)) * K(x,z \ y) = K(x,y / z). [para(7937(a,1),9379(a,1,1))]. given #8340 (H,wt=17): 9403 K(x,y \ z) * K(x,K(z,y)) = K(x,z / y). [para(7937(a,1),9380(a,1,2))]. given #8341 (H,wt=17): 9406 K(x,y \ z) * K(z / y,x) = K(x,K(y,z)). [hyper(7559,a,9398,a)]. given #8342 (H,wt=17): 9407 K(x,y / z) * K(x,K(z,y)) = K(x,z \ y). [hyper(5870,a,9398,a)]. given #8343 (H,wt=17): 9409 K(x,K(y,z)) * K(y,x / z) = K(y,z \ x). [para(7923(a,1),9398(a,1,1))]. given #8344 (H,wt=17): 9410 K(x,K(y,z)) * K(x,y / z) = K(x,z \ y). [para(7937(a,1),9398(a,1,1))]. given #8345 (H,wt=17): 9411 K(x,y / z) * K(x,K(y,z)) = K(x,z \ y). [para(7937(a,1),9407(a,1,2))]. given #8346 (H,wt=18): 9283 K(x,K(y,z / (u * z))) != w | K(x,K(y,u)) = w. [para(9250(a,2),7971(a,1))]. given #8347 (H,wt=16): 9413 K(x,K(y,z * R(x,u,w))) = K(x,K(y,z)). [hyper(9283,a,9371,a),flip(a)]. given #8348 (H,wt=18): 9287 K(x,K(y,z \ u)) != w | K(x,K(y,u \ z)) = w. [para(9251(a,1),7971(a,1))]. given #8349 (H,wt=18): 9298 T(T(x,y),K(y,z)) != u | T(x,T(y,z \ 1)) = u. [para(9291(a,1),7185(a,1))]. given #8350 (H,wt=18): 9322 T(x,K(y,z \ u)) != w | T(x,K(y,u \ z)) = w. [para(9294(a,1),8002(a,1))]. given #8351 (H,wt=18): 9361 K(x,K(y,z / u)) != w | K(x,K(y,u / z)) = w. [para(5796(a,1),9272(a,1,2))]. given #8352 (H,wt=18): 9362 K(x,K(y,z / (u * z))) != w | K(x,K(u,y)) = w. [para(5800(a,2),9275(a,1,2))]. given #8353 (H,wt=18): 9367 T(x,T(y,z \ u)) != w | T(x,T(y,u \ z)) = w. [para(6361(a,1),9329(a,1,2))]. given #8354 (H,wt=18): 9374 K(x,T(y,z / u)) != w | K(x,T(y,u / z)) = w. [para(4187(a,1),9368(a,1,2))]. given #8355 (H,wt=18): 9375 K(x,T(y,z \ u)) != w | K(x,T(y,u \ z)) = w. [para(6361(a,1),9368(a,1,2))]. given #8356 (H,wt=18): 9414 K(x,K(y,(z \ u) / u)) != w | K(x,K(z,y)) = w. [para(14(a,1),9362(a,1,2,2,2))]. given #8357 (H,wt=19): 9197 K(x,T(y,R(x,z,u) * w)) != v5 | K(x,T(y,w)) = v5. [para(9195(a,2),7888(a,1))]. given #8358 (H,wt=19): 9225 K(x * y,x) * K(x,K(y,z)) = K(x * y,T(x,z)). [para(9219(a,1),7956(a,1,2))]. given #8359 (H,wt=19): 9255 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w))). [hyper(236,a,8898,a,b,9242,a(flip)),flip(a)]. given #8360 (H,wt=17): 9416 R(K(x,K(y,z)),u,w) = K(x,K(y,R(z,u,w))). [para(9242(a,1),9255(a,1,1))]. given #8361 (H,wt=17): 9417 R(K(x,K(y,z)),u,w) = K(y,K(z,R(x,u,w))). [para(9247(a,1),9255(a,1,1))]. given #8362 (H,wt=17): 9418 K(x,R(K(y,z),u,w)) = K(x,K(y,R(z,u,w))). [hyper(236,a,8895,a(flip),b,9416,a(flip)),flip(a)]. given #8363 (H,wt=14): 9421 K(x,K(y,R(z,y,u))) = K(x,K(y,z)). [para(3968(a,1),9418(a,1,2)),flip(a)]. given #8364 (H,wt=17): 9420 K(x,R(K(y,z),u,w)) = K(x,K(z,R(y,u,w))). [hyper(236,a,8894,a(flip),b,9417,a(flip)),flip(a)]. given #8365 (H,wt=19): 9259 K(x,K(y,z \ K(u,w))) = K(x,K(y,K(w,u) * z)). [para(6410(a,1),9242(a,1,2))]. given #8366 (H,wt=19): 9264 K(x,y * ((z \ (y \ 1)) * z)) = K(x,K(y * z,z)). [para(6076(a,2),9244(a,1,2))]. given #8367 (H,wt=19): 9278 K(x,K(y,z)) * K(x,1 / z) = K(x,T(1 / z,y)). [para(9268(a,1),7954(a,1,1))]. given #8368 (H,wt=19): 9296 K(x,y \ 1) * T(z,K(x,y)) = z * K(x,y \ 1). [para(9291(a,1),119(a,1,2))]. given #8369 (H,wt=19): 9325 T(T(T(x,y \ x) / y,K(x,y \ x)),x) = x / y. [para(9321(a,2),7184(a,1,1))]. given #8370 (H,wt=17): 9425 T(T(x,y \ x) / y,T(x,y \ x)) = x / y. [hyper(7160,a,9325,a)]. given #8371 (H,wt=19): 9340 T(1 / (x * K(y,z)),K(z,y)) = 1 / (K(y,z) * x). [para(7396(a,1),9300(a,1,2)),flip(a)]. given #8372 (H,wt=19): 9356 K(x * R(y,z,u),T(y,x)) = K(x * R(y,z,u),y). [para(625(a,1),9344(a,1,2)),flip(a)]. given #8373 (H,wt=19): 9389 T((x / (x / y)) \ x,K(x,z)) = x / T(y,K(x,z)). [hyper(7801,a,9388,a),flip(a)]. given #8374 (H,wt=15): 9428 x / T(y,K(x,z)) = T(x / y,K(x,z)). [para(65(a,1),9389(a,1,1)),flip(a)]. given #8375 (H,wt=19): 9397 K(x,y \ z) * (y \ x) = (y \ x) * K(x,z / y). [para(8069(a,1),9353(a,1,2)),flip(a)]. given #8376 (H,wt=19): 9419 x * R(K(x,K(y,z)),u,w) = T(x,K(y,R(z,u,w))). [para(9416(a,2),4887(a,2,2)),flip(a)]. given #8377 (H,wt=17): 9430 T(x,R(K(y,z),u,w)) = T(x,K(y,R(z,u,w))). [hyper(8897,a,9419,a)]. given #8378 (H,wt=20): 9369 K(x,T(x \ y,z \ y)) != u | K(x,T(x \ y,z)) = u. [para(7880(a,2),9357(a,1))]. given #8379 (H,wt=20): 9376 K(x,T(y,z \ (u \ z))) != w | K(x,T(y,T(u,z))) = w. [para(8609(a,1),9368(a,1,2))]. given #8380 (H,wt=20): 9381 K(x,K(y \ z,T(y,u))) != w | K(y,K(x,T(z,u))) = w. [para(9218(a,2),8015(a,1))]. given #8381 (H,wt=20): 9386 L(T(K(x,y),z),z \ 1,z) = z * (K(x,y) * (z \ 1)). [para(9383(a,1),502(a,1,1))]. given #8382 (H,wt=20): 9395 K(x,y) * (z \ 1) != (z \ 1) * u | K(x,T(y,z)) = u. [para(9349(a,1),19(a,1))]. given #8383 (H,wt=20): 9402 K(x,K(y,z)) * K(x,z / y) != u | K(x,y \ z) = u. [para(9379(a,1),7966(a,1,2)),flip(b)]. given #8384 (H,wt=20): 9412 K(x,y \ z) != u | K(x,z / y) * K(x,K(z,y)) = u. [para(9410(a,1),5870(a,1))]. given #8385 (H,wt=20): 9415 K(x,T(y,(x * z) * u)) != w | K(x,T(y,z * u)) = w. [para(113(a,1),9197(a,1,2,2))]. given #8386 (H,wt=20): 9426 T(x,y) * K(y * R(x,z,u),x) = R(x,y,R(x,z,u)). [para(9356(a,1),5068(a,1,2))]. given #8387 (H,wt=21): 9276 (T(x * y,K(z,u)) / y) / x = K(z,K(u,(1 / y) / x)). [hyper(236,a,5715,a(flip),b,9268,a(flip)),flip(a)]. given #8388 (H,wt=21): 9378 K(x,K(y,z * u)) * K(y,x) = K(y,T(x,(x * z) * u)). [para(9200(a,1),7954(a,1,1))]. given #8389 (H,wt=17): 9434 K(x,T(y,(y * z) * u)) = K(x,T(y,z * u)). [hyper(8218,a,9378,a),flip(a)]. given #8390 (H,wt=17): 9435 K(x,T(y,(y \ z) * u)) = K(x,T(y,z * u)). [para(14(a,1),9434(a,1,2,2,1)),flip(a)]. given #8391 (H,wt=17): 9436 K(x \ y,T(x,y * z)) = K(x \ y,T(x,z)). [hyper(7827,a,9435,a),flip(a)]. given #8392 (H,wt=21): 9391 K(x,T(T(x * T(y,z),u),y)) = T(K(x,x * T(y,z)),u). [para(9312(a,1),7447(a,2,1))]. given #8393 (H,wt=21): 9393 (K(x * y,z) * T(x,y)) \ T(x,T(y,z)) = K(z,x * y). [hyper(72,a,9392,a(flip),b,7395,a)]. given #8394 (H,wt=21): 9405 K(x,y) * T(z,T(z * x,y)) = T(z,x * z) * K(x,y). [para(9394(a,1),180(a,1,2))]. given #8395 (H,wt=21): 9438 K(x,y) * T(z,T(x * z,y)) = T(z,x * z) * K(x,y). [para(4644(a,2),9405(a,1,2))]. given #8396 (H,wt=22): 9154 K(L(x,y,L(x,z,u)),T(w,L(x,z,u) * y)) = K(x,T(w,y)). [hyper(236,a,8075,a(flip),b,8446,a(flip))]. given #8397 (H,wt=16): 9439 K(x,T(y,L(x,z,u) * w)) = K(x,T(y,w)). [hyper(236,a,8947,a(flip),b,9154,a(flip)),flip(a)]. given #8398 (H,wt=17): 9441 K(x,T(y,z * (u * x))) = K(x,T(y,z * u)). [hyper(236,a,8768,a(flip),b,9439,a(flip)),flip(a)]. given #8399 (H,wt=17): 9443 K(x,T(y,z * (x * u))) = K(x,T(y,z * u)). [hyper(236,a,8519,a(flip),b,9441,a(flip)),flip(a)]. given #8400 (H,wt=17): 9444 K(x,T(y,z * (u / x))) = K(x,T(y,z * u)). [para(16(a,1),9441(a,1,2,2,2)),flip(a)]. given #8401 (H,wt=17): 9445 K(x,T(y,z * (x \ u))) = K(x,T(y,z * u)). [para(14(a,1),9443(a,1,2,2,2)),flip(a)]. given #8402 (H,wt=17): 9446 K(1 / x,T(y,z * x)) = K(1 / x,T(y,z)). [para(64(a,1),9443(a,1,2,2)),flip(a)]. given #8403 (H,wt=17): 9448 K(1 / x,T(y,z * x)) = K(1 / T(x,z),y). [hyper(236,a,7267,a,b,9446,a)]. given #8404 (H,wt=17): 9449 K(1 / T(x,y / x),z) = K(1 / x,T(z,y)). [para(16(a,1),9448(a,1,2,2)),flip(a)]. given #8405 (H,wt=17): 9450 K(1 / (x / (x / y)),z) = K(1 / y,T(z,x)). [hyper(236,a,8259,a(flip),b,9449,a(flip)),flip(a)]. given #8406 (H,wt=17): 9451 K(1 / (x \ y),T(z,y)) = K(1 / (y / x),z). [para(62(a,1),9450(a,1,1,2,2)),flip(a)]. given #8407 (H,wt=17): 9452 K(1 / (x / y),T(z,x)) = K(1 / (y \ x),z). [hyper(8174,a,9451,a),flip(a)]. given #8408 (H,wt=20): 9453 K(1 / (x / y),T(z,x)) != u | K(1 / (y \ x),z) = u. [para(9451(a,1),8174(a,1))]. given #8409 (H,wt=22): 9156 L(T(K(x,y \ z),u),y \ z,w) = K(x,T((z \ y) \ 1,u)). [hyper(236,a,7256,a,b,8526,a)]. given #8410 (H,wt=22): 9157 K(x,K(y,z)) * (K(x,y) * u) != w | K(x,T(y,z)) * u = w. [para(7885(a,1),8566(a,1,1))]. given #8411 (H,wt=22): 9158 K(x,K(y,z)) * (K(z,x) * u) != w | K(z,T(x,y)) * u = w. [para(7919(a,1),8566(a,1,1))]. given #8412 (H,wt=22): 9159 x * K(y,(x \ 1) * (z * x)) = K(y,L(z,x,x \ 1)) * x. [para(5477(a,1),8580(a,1,2))]. given #8413 (H,wt=20): 9455 K(x,T((y \ 1) * (z * y),y)) = K(x,L(z,y,y \ 1)). [hyper(8057,a,9159,a)]. given #8414 (H,wt=22): 9181 K(R(x,y / x,z),u) = K((y * z) / ((y / x) * z),T(u,y)). [hyper(8174,a,8966,a)]. given #8415 (H,wt=19): 9456 R(K((x / y) \ x,z),x,u) = K(R(y,x / y,u),z). [hyper(236,a,7345,a(flip),b,9181,a),flip(a)]. given #8416 (H,wt=15): 9457 K(R(x,y / x,z),u) = R(K(x,u),y,z). [para(65(a,1),9456(a,1,1,1)),flip(a)]. given #8417 (H,wt=15): 9458 R(K(x,y),z * x,u) = K(R(x,z,u),y). [para(15(a,1),9457(a,1,1,2)),flip(a)]. given #8418 (H,wt=22): 9184 (x * (y * z)) * K(u,L(y,z,x)) = x * (y * (z * K(u,y))). [para(8317(a,1),8975(a,2,2))]. given #8419 (H,wt=22): 9370 K(x,T(y * (z \ x),y)) != u | K(x,T(y * (z \ x),z)) = u. [para(9345(a,1),9357(a,1))]. given #8420 (H,wt=22): 9432 K(x,y) * K(y * R(x,z,u),x) = x \ R(x,y,R(x,z,u)). [hyper(72,a,9426,a(flip),b,4856,a),flip(a)]. given #8421 (H,wt=22): 9454 L(K(x,T(y \ z,u)),y \ z,w) = K(x,T((z \ y) \ 1,u)). [para(7256(a,2),9156(a,1,1))]. given #8422 (H,wt=17): 9464 K(x,T((y \ z) \ 1,u)) = K(x,T(z \ y,u)). [hyper(8338,a,9454,a),flip(a)]. given #8423 (H,wt=17): 9466 K(x,T(1 / (y \ z),u)) = K(x,T(z \ y,u)). [hyper(5447,a,9464,a)]. given #8424 (H,wt=20): 9465 K(x,T((y \ z) \ 1,u)) != w | K(x,T(z \ y,u)) = w. [para(9454(a,1),323(a,1)),flip(b)]. given #8425 (H,wt=20): 9468 K(x,T(1 / (y \ x),z)) != u | K(x,T(y / x,z)) = u. [para(9466(a,2),5141(a,1))]. given #8426 (H,wt=20): 9469 K(x,y \ ((z \ u) \ y)) != w | K(x,T(u \ z,y)) = w. [para(7525(a,1),9465(a,1))]. given #8427 (H,wt=23): 7168 K(x,y) * (z * T(z \ (K(x,y) \ u),y)) = T(u / z,y) * z. [para(7152(a,1),1414(a,1,1)),flip(a)]. given #8428 (H,wt=23): 7296 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,K(z \ y,T(z,u))). [para(7256(a,2),5933(a,2,2))]. given #8429 (H,wt=23): 7306 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(x,z),T(y,u)). [hyper(236,a,5815,a,b,7260,a(flip)),flip(a)]. given #8430 (H,wt=23): 7380 (K(x,y) * T(T(y,z),u)) * w = K(x,y) * (T(T(y,z),u) * w). [para(7379(a,1),103(a,1,2))]. given #8431 (H,wt=14): 9474 R(K(x,y),T(T(y,z),u),w) = K(x,y). [hyper(4699,a,7380,a)]. given #8432 (H,wt=23): 7408 L(x,y \ (K(z,y) * u),T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(7406(a,1),4400(a,1,3))]. given #8433 (H,wt=21): 9476 L(x,T(y,z) \ u,T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(5196(a,1),7408(a,1,2))]. given #8434 (H,wt=19): 9477 L(x,T(y,z) \ u,T(y,u)) = L(x,T(y,z) \ u,y). [para(5196(a,1),9476(a,2,2))]. given #8435 (H,wt=22): 9478 T(x,y) * ((T(x,y) \ y) * z) = y * L(z,T(x,y) \ y,x). [para(9477(a,1),433(a,1,2)),flip(a)]. given #8436 (H,wt=22): 9479 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,T(x,y) \ y,x). [para(4117(a,1),9478(a,1,2,1))]. given #8437 (H,wt=22): 9480 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,x \ T(y,x),x). [para(4117(a,1),9479(a,2,2,2))]. given #8438 (H,wt=23): 7492 K((1 / ((x * y) \ x)) * z,y) = K(z * (1 / ((x * y) \ x)),y). [para(6385(a,1),7472(a,1,1)),flip(a)]. given #8439 (H,wt=23): 7500 K(T(x,y) \ z,T(x,u)) = T(x,u) \ T(x * K(x \ z,x),u). [para(7486(a,1),5754(a,1,2,1,2)),flip(a)]. given #8440 (H,wt=20): 9483 K(T(x,y) \ z,T(x,u)) != w | K(x \ z,T(x,u)) = w. [para(7500(a,2),5755(a,1))]. given #8441 (H,wt=22): 9484 K(((x \ y) \ y) \ z,T(x,u)) != w | K(x \ z,T(x,u)) = w. [para(120(a,1),9483(a,1,1,1))]. given #8442 (H,wt=23): 7541 T(x * K(y,z),u) * K(z,y) = K(z,y) * T(K(y,z) * x,u). [para(7396(a,1),180(a,1,2,1)),flip(a)]. given #8443 (H,wt=23): 7580 R((x * K(y,z)) / u,u,K(z,y)) != w | x / (u * K(z,y)) = w. [para(7547(a,1),563(a,1,1,1))]. given #8444 (H,wt=23): 7581 R((x / y) * K(z,u),K(u,z),y) != w | x / (K(u,z) * y) = w. [para(7547(a,1),563(a,1,1))]. given #8445 (H,wt=23): 7593 (x * K(y,z)) * L(T(y,x),u,w) = L(y,u,w) * (x * K(y,z)). [para(7572(a,1),181(a,1,2,1))]. given #8446 (H,wt=23): 7594 T(x * K(y,z),L(T(y,x),u,w)) = T(x * K(y,z),L(y,u,w)). [para(7572(a,1),4118(a,1,2,1))]. given #8447 (H,wt=23): 7637 ((x * y) * K(z,L(u,y,x))) \ (x * (y * u)) = T(L(u,y,x),z). [hyper(72,a,103,a(flip),b,7568,a)]. given #8448 (H,wt=23): 7667 L(x * K(y,x),z,u) \ L(x,z,u) != w | K(L(x,z,u),y) = w. [para(5656(a,1),7560(a,1,1))]. given #8449 (H,wt=23): 7668 R(x * K(y,x),z,u) \ R(x,z,u) != w | K(R(x,z,u),y) = w. [para(5658(a,1),7560(a,1,1))]. given #8450 (H,wt=23): 7694 T(x,y) * T(y,T(z,T(x,y))) = K(y,z) * (x * ((x * y) / x)). [para(3875(a,1),7520(a,1,2)),flip(a)]. given #8451 (H,wt=21): 9486 K(x,y) * (z * ((z * x) / z)) = T(z,x) * T(x,T(y,z)). [para(7918(a,1),7694(a,1,2)),flip(a)]. given #8452 (H,wt=21): 9487 K(x,y) * (z * ((z * x) / z)) = z * T(x * K(z,x),y). [hyper(236,a,8640,a(flip),b,9486,a)]. given #8453 (H,wt=23): 7708 (x * (y * K(z,y))) / (y * K(u,y)) = (x * K(z,y)) * K(y,u). [hyper(74,a,7569,a(flip),b,6265,a)]. given #8454 (H,wt=23): 7715 ((x * T(x \ y,z)) * u) \ (y * u) = K(z,(x * u) \ (y * u)). [para(1320(a,1),7588(a,1,1))]. given #8455 (H,wt=23): 7863 (x * K(y * K(z,y),z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). [para(4853(a,1),7571(a,1,2,1))]. given #8456 (H,wt=19): 9489 (x * K(y,z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). [para(5003(a,1),7863(a,1,1,2))]. given #8457 (H,wt=17): 9490 (x * K(y,z)) * (y \ 1) = x * (y \ K(y,z)). [para(5113(a,1),9489(a,2,2))]. given #8458 (H,wt=19): 9491 (x * K(y,z)) * (y \ 1) = x * (K(y,z) * (y \ 1)). [para(5510(a,1),9489(a,2,2))]. given #8459 (H,wt=12): 9496 L(x \ 1,K(x,y),z) = x \ 1. [hyper(436,a,9491,a)]. given #8460 (H,wt=23): 7870 K((x / y) \ z,T(x / y,u)) = K((y \ x) \ z,T(x / y,u)). [para(121(a,1),7685(a,1,1,1)),flip(a)]. given #8461 (H,wt=23): 7871 (x * (y * K(z,y))) / (x * K(z,y * K(z,y))) = (x * y) / x. [hyper(236,a,4939,a(flip),b,7692,a)]. given #8462 (H,wt=19): 9497 (x * (y * K(z,y))) / (x * K(z,y)) = (x * y) / x. [para(5008(a,1),7871(a,1,2,2))]. given #8463 (H,wt=23): 7872 K(x * (((y \ 1) \ z) / z),y) = K(x * (z \ ((y \ 1) \ z)),y). [para(4080(a,1),7719(a,1,1,2)),flip(a)]. given #8464 (H,wt=23): 7873 K(((x \ y) \ 1) * z,y \ x) = K((x \ y) \ z,(x \ y) \ 1). [hyper(6474,a,7724,a)]. given #8465 (H,wt=21): 9500 K(((x \ y) \ 1) * z,y \ x) = K((x \ y) \ z,y \ x). [hyper(236,a,6408,a(flip),b,7873,a)]. given #8466 (H,wt=21): 9501 K(((x \ y) \ 1) * z,y \ x) = K(z / (x \ y),y \ x). [hyper(7374,a,9500,a(flip)),flip(a)]. given #8467 (H,wt=23): 7911 (K(x,y) / z) * K(x,K(y,1 / z)) = T(K(x,y),1 / z) / z. [para(7886(a,1),6539(a,1,2))]. given #8468 (H,wt=23): 8041 (x / y) * K(y,K(z,y \ x)) = (y \ x) * K(y,T(y \ x,z)). [para(7955(a,1),5571(a,1,2)),flip(a)]. given #8469 (H,wt=21): 9503 (x \ y) * K(x,T(x \ y,z)) = (y / x) * K(x,K(y,z)). [para(9206(a,1),8041(a,1,2)),flip(a)]. given #8470 (H,wt=23): 8042 K(x,y / z) * K(x,K(u,z \ y)) = K(x,T(y / z,T(u,z))). [para(7313(a,1),7955(a,1,2,2))]. given #8471 (H,wt=23): 8100 R(K(x,T(y,z)),z,u) != w | ((z * K(x,y)) * u) / (z * u) = w. [para(8045(a,1),797(a,1,1))]. given #8472 (H,wt=23): 8130 K(x \ y,T(z,x)) / (x \ y) = (1 / (x \ y)) * K(y / x,z). [para(8068(a,1),6195(a,1,2)),flip(a)]. given #8473 (H,wt=21): 9505 (1 / (x \ y)) * K(y / x,z) = K(y / x,z) / (x \ y). [para(8068(a,1),8130(a,1,1)),flip(a)]. given #8474 (H,wt=20): 9506 K(1 / x,y) / (x \ 1) != z | x * K(1 / x,y) = z. [para(9505(a,1),290(a,1))]. given #8475 (H,wt=23): 8199 ((x / (x / y)) \ z) * K(y \ x,y) = T(y \ z,K(y,y \ x)). [para(5509(a,2),7986(a,1,1))]. given #8476 (H,wt=21): 9507 ((x / (x / y)) \ z) * K(y \ x,y) = T(y \ z,K(x,y)). [hyper(236,a,9315,a(flip),b,8199,a)]. given #8477 (H,wt=23): 8200 T((x / y) \ z,K(y,y \ x)) = ((y \ x) \ z) * K(y \ x,y). [para(5757(a,1),7986(a,1,1)),flip(a)]. given #8478 (H,wt=21): 9508 ((x \ y) \ z) * K(x \ y,x) = T((y / x) \ z,K(x,y)). [hyper(9319,a,8200,a),flip(a)]. given #8479 (H,wt=23): 8204 T(K(x,y) * z,u) * K(y,x) = K(y,x) * T(z * K(x,y),u). [para(7988(a,1),180(a,1,2,1)),flip(a)]. given #8480 (H,wt=23): 8229 (x * K(y,z \ (u \ z))) / (y \ x) = T(y,T((u * z) \ z,x)). [para(7696(a,1),8105(a,1,1,2))]. given #8481 (H,wt=19): 9510 T(x,T((y * z) \ z,u)) = T(x,T(z \ (y \ z),u)). [hyper(8226,a,8229,a),flip(a)]. given #8482 (H,wt=23): 8233 R(K(x,y),T(y,T(z,u)) * u,w) = K(x,R(y,u * K(y,z),w)). [para(8109(a,2),6824(a,1,2))]. given #8483 (H,wt=17): 9511 K(x,R(y,z * K(y,u),w)) = K(x,R(y,z,w)). [hyper(8912,a,8233,a),flip(a)]. given #8484 (H,wt=15): 9513 K(x,R(y,T(z,y),u)) = K(x,R(y,z,u)). [para(4836(a,1),9511(a,1,2,2)),flip(a)]. given #8485 (H,wt=15): 9515 R(K(x,y),z * y,u) = K(x,R(y,z,u)). [hyper(236,a,6825,a,b,9513,a(flip)),flip(a)]. given #8486 (H,wt=17): 9514 K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)). [para(7281(a,1),9511(a,1,2,2))]. given #8487 (H,wt=17): 9516 R(K(x,y \ z),z,u) = K(x,R(y \ z,y,u)). [para(14(a,1),9515(a,1,2))]. given #8488 (H,wt=21): 9518 K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5. [para(9514(a,1),7549(a,1,1,2)),flip(a)]. given #8489 (H,wt=17): 9520 K(R(x,K(x,y) * z,u),w) = K(R(x,z,u),w). [hyper(236,a,7647,a(flip),b,9518,a)]. given #8490 (H,wt=17): 9523 K(R(x,K(y,x) * z,u),w) = K(R(x,z,u),w). [para(5268(a,1),9520(a,1,1,2)),flip(a)]. given #8491 (H,wt=19): 9522 R(K(x,y),K(x,z) * u,w) = K(R(x,x \ u,w),y). [hyper(236,a,6680,a(flip),b,9520,a(flip)),flip(a)]. given #8492 (H,wt=17): 9525 R(K(x,y),K(x,z) * u,w) = R(K(x,y),u,w). [hyper(236,a,6676,a(flip),b,9522,a)]. given #8493 (H,wt=17): 9526 R(K(x,y),z / x,u) = R(K(x,y),x \ z,u). [para(4927(a,1),9525(a,1,2))]. given #8494 (H,wt=20): 9521 K(R(x,K(x,y) * z,u),w) != v5 | K(R(x,z,u),w) = v5. [para(9518(a,2),7560(a,1))]. given #8495 (H,wt=22): 9527 R(K(x,y),x \ y,z) * ((y / T(x,y)) * z) = (y / x) * z. [para(9526(a,1),6805(a,1,1))]. given #8496 (H,wt=23): 8254 (x / y) * (z / K(y,y \ x)) = (y \ x) * T(z,K(y,y \ x)). [para(8193(a,1),5571(a,1,2)),flip(a)]. given #8497 (H,wt=21): 9529 (x / y) * (z / K(y,y \ x)) = (y \ x) * T(z,K(y,x)). [para(9310(a,1),8254(a,2,2))]. given #8498 (H,wt=21): 9530 (x / y) * (z * K(y \ x,y)) = (y \ x) * T(z,K(y,x)). [para(7547(a,1),9529(a,1,2))]. given #8499 (H,wt=21): 9531 (x / y) * (z * K(y \ x,y)) = (y \ x) * T(z,K(x,y)). [para(7981(a,1),9530(a,2,2))]. given #8500 (H,wt=23): 8266 T((x \ y) * z,K(x \ y,x)) = (y / x) * (z * K(x \ y,x)). [hyper(168,a,8232,a,b,5546,a)]. given #8501 (H,wt=23): 8324 K(L(x,y,z),R(z,u,w)) = R(z,u,w) \ R(z * K(x,z),u,w). [para(8319(a,1),5669(a,1,2,1,2)),flip(a)]. given #8502 (H,wt=16): 9533 K(L(x,y,z),R(z,u,w)) = K(x,R(z,u,w)). [hyper(236,a,5669,a(flip),b,8324,a)]. given #8503 (H,wt=19): 9534 K((x \ 1) \ y,R(x,z,u)) = K(x * y,R(x,z,u)). [para(451(a,1),9533(a,1,1)),flip(a)]. given #8504 (H,wt=23): 8416 K((x * (y / z)) \ (x * y),u) != w | K(L(z,y / z,x),u) = w. [para(494(a,1),8411(a,1,1,1))]. given #8505 (H,wt=23): 8427 K(L((x \ y) / z,z,x),u) != w | K((x * z) \ y,T(u,z)) = w. [para(819(a,2),8410(a,1,1))]. given #8506 (H,wt=23): 8435 K(1 / x,y) \ K(K(1 / x,y),z) = K(1 / T(x,z),y) \ 1. [para(5678(a,2),7962(a,2,1))]. given #8507 (H,wt=21): 9536 K(1 / x,y) \ K(K(1 / x,y),z) = K(y,1 / T(x,z)). [hyper(236,a,5093,a(flip),b,8435,a)]. given #8508 (H,wt=23): 8438 T(x,y / z) * K(z \ y,z) = K(z \ y,z) * T(x,z \ y). [para(8151(a,1),8007(a,1,1))]. given #8509 (H,wt=21): 9538 T(x,y / z) * K(z \ y,z) = (y / z) \ (x * (z \ y)). [hyper(236,a,5759,a(flip),b,8438,a)]. given #8510 (H,wt=23): 8461 T(T(x,y) \ L(T(x,y),z,u),x) = T(x,y) \ L(T(x,y),z,u). [hyper(4779,a,8150,a),flip(a)]. given #8511 (H,wt=23): 8489 K(x,L(T(T(y \ z,u),y),w,v5)) = K(x,L(T(z / y,u),w,v5)). [para(183(a,1),8443(a,1,2,1,1))]. given #8512 (H,wt=23): 8570 T(K(x,y) * (z / T(x,u)),T(x,u)) = T(x,u) \ (K(x,y) * z). [para(7198(a,1),121(a,1,1))]. given #8513 (H,wt=23): 8575 K(x \ y,z) * K(u,y / x) = K(u,y / x) * K(x \ y,z). [para(6433(a,1),7293(a,1,1,2)),flip(a)]. given #8514 (H,wt=21): 9542 K(x,y / z) * K(z \ y,z) = z \ (y / T(y / z,x)). [hyper(236,a,7625,a(flip),b,8575,a(flip))]. given #8515 (H,wt=23): 8590 K(x,1 / x) * (y * L(x,z,u)) = y * L((x \ 1) \ 1,z,u). [para(7552(a,1),4553(a,2,2))]. given #8516 (H,wt=23): 8599 R(x,(y \ z) \ 1,T(z / y,y)) = R(x,(z / y) \ 1,z / y). [para(121(a,1),8598(a,1,2,1))]. given #8517 (H,wt=21): 9543 R(x,(y / z) \ 1,y / z) = R(x,(z \ y) \ 1,z \ y). [para(121(a,1),8599(a,1,3)),flip(a)]. given #8518 (H,wt=23): 8613 ((x * T(y,z)) / y) * ((u * y) / u) = x * (T(y,z) * K(u,y)). [hyper(7786,a,7759,a)]. given #8519 (H,wt=21): 9545 (x * K(y,z)) * ((u * y) / u) = x * (T(y,z) * K(u,y)). [para(6194(a,1),8613(a,1,1))]. given #8520 (H,wt=21): 9546 (x * K(y,z)) * (y * K(u,y)) = x * (T(y,z) * K(u,y)). [hyper(5074,a,9545,a)]. given #8521 (H,wt=23): 8622 L(x,y,z * (K(u,z) / T(z,w))) = L(x,y,K(u,z) * K(w,z)). [para(7791(a,1),6752(a,1,3,2))]. given #8522 (H,wt=23): 8625 K(((x \ y) \ 1) * z,x / y) = K(z * ((x \ y) \ 1),x / y). [para(6370(a,1),7858(a,1,1)),flip(a)]. given #8523 (H,wt=23): 8631 K(x,y) * K(y,K(z,T(x,x * u))) = T(K(x,y),T(z,u * x)). [para(4255(a,1),8033(a,1,2,2,2))]. given #8524 (H,wt=19): 9547 T(K(x,y),T(z,u * x)) = T(K(x,y),T(z,x * u)). [hyper(8541,a,8631,a),flip(a)]. given #8525 (H,wt=23): 8667 (x * K(y \ (z \ x),z)) * u = (y * ((z \ (y \ x)) * z)) * u. [hyper(22,a,8380,a)]. given #8526 (H,wt=23): 8703 K(x \ (y / (z * y)),z \ 1) = K(x \ ((z * y) \ y),z \ 1). [para(5804(a,1),8696(a,1,1,2))]. given #8527 (H,wt=23): 8798 T(T(x,1 / (y / z)),K(u,z / y)) = T(x,1 / T(y / z,u)). [para(5796(a,1),8795(a,1,2))]. given #8528 (H,wt=21): 9550 T(T(x,1 / (y / z)),K(y,z)) = T(x,1 / T(y / z,y)). [hyper(9364,a,8798,a)]. given #8529 (H,wt=21): 9551 T(T(x,1 / (y / z)),K(z,z / y)) = T(x,1 / (z \ y)). [para(121(a,1),8798(a,2,2,2))]. given #8530 (H,wt=19): 9552 T(T(x,1 / (y / z)),K(y,z)) = T(x,1 / (z \ y)). [hyper(9366,a,9551,a)]. given #8531 (H,wt=17): 9553 T(x,1 / T(y / z,y)) = T(x,1 / (z \ y)). [hyper(236,a,9550,a(flip),b,9552,a(flip)),flip(a)]. given #8532 (H,wt=17): 9554 T(x,T(1 / (y / z),y)) = T(x,1 / (z \ y)). [hyper(8797,a,9553,a)]. given #8533 (H,wt=17): 9555 T(x,1 / ((y \ z) \ z)) = T(x,T(1 / y,z)). [para(62(a,1),9554(a,1,2,1,2)),flip(a)]. given #8534 (H,wt=17): 9556 T(x,T(1 / (y \ z),z)) = T(x,1 / (z / y)). [hyper(236,a,8494,a(flip),b,9555,a(flip))]. given #8535 (H,wt=19): 9557 T(x,K(y,z / y) / (z \ y)) = T(x,1 / (y / z)). [hyper(236,a,8462,a,b,9556,a(flip)),flip(a)]. given #8536 (H,wt=23): 8813 (x * (y \ T(y * (x \ z),u))) \ z = K(u,(x * (y \ 1)) \ z). [para(877(a,1),7714(a,1,1,2))]. given #8537 (H,wt=23): 8825 K(x,y \ ((x \ y) * z)) != u | L(K(x,x \ z),z,x \ y) = u. [para(8818(a,1),6622(a,1))]. given #8538 (H,wt=23): 8828 (K(x,y) * K(z,K(x,u \ 1))) / u = T(K(x,y) / u,K(z,x)). [para(8826(a,1),7950(a,1,1,2,2))]. given #8539 (H,wt=23): 8847 K(x,y) * K(x,K(y,z \ (u * y))) = K(x,T(y,(y \ z) \ u)). [para(8839(a,1),7883(a,1,2,2))]. given #8540 (H,wt=17): 9559 K(x,K(y,z \ (u * y))) = K(x,K(y,z \ u)). [hyper(17,a,8875,a,b,8847,a)]. given #8541 (H,wt=17): 9561 K(x,K(y,z \ (u * y))) = K(y,K(x,z \ u)). [hyper(236,a,7919,a,b,9559,a)]. given #8542 (H,wt=17): 9563 K(x,K(y,z \ (u * x))) = K(x,K(y,z \ u)). [hyper(7921,a,9561,a)]. given #8543 (H,wt=17): 9564 K(x,K(y,z \ (u * x))) = K(x,K(y,u \ z)). [hyper(236,a,9258,a,b,9563,a)]. given #8544 (H,wt=17): 9566 K(x,K(y,(z * x) \ u)) = K(x,K(y,z \ u)). [hyper(9287,a,9564,a)]. given #8545 (H,wt=17): 9567 K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ u)). [para(16(a,1),9566(a,1,2,2,1)),flip(a)]. given #8546 (H,wt=17): 9568 K(x,K(y,(x \ z) \ u)) = K(x,K(y,z \ u)). [hyper(236,a,8216,a(flip),b,9567,a(flip)),flip(a)]. given #8547 (H,wt=21): 9569 K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(x \ z) \ u)). [para(9568(a,1),7883(a,1,2))]. given #8548 (H,wt=20): 9570 K(x,T(y,(x \ z) \ u)) != w | K(x,T(y,z \ u)) = w. [para(9569(a,1),7888(a,1))]. given #8549 (H,wt=17): 9571 K(x,T(y,z \ (x * u))) = K(x,T(y,z \ u)). [hyper(9570,a,8426,a),flip(a)]. given #8550 (H,wt=17): 9573 K(x,T(y,z \ (u * x))) = K(x,T(y,z \ u)). [hyper(236,a,8983,a,b,9571,a(flip)),flip(a)]. given #8551 (H,wt=17): 9574 K(x,T(y,z \ (x \ u))) = K(x,T(y,z \ u)). [para(14(a,1),9571(a,1,2,2,2)),flip(a)]. given #8552 (H,wt=19): 9575 K(x \ y,T(z,u \ y)) = K(x \ y,T(z,u \ x)). [para(14(a,1),9573(a,1,2,2,2))]. given #8553 (H,wt=19): 9576 K(x \ y,T(z,u \ y)) = K(x \ y,T(z,x \ u)). [hyper(236,a,9348,a,b,9575,a)]. given #8554 (H,wt=17): 9577 K(x \ 1,T(y,x \ z)) = K(x \ 1,T(y,z)). [hyper(9368,a,9576,a),flip(a)]. given #8555 (H,wt=20): 9572 K(x,T(y,z \ (x * u))) != w | K(x,T(y,z \ u)) = w. [para(8426(a,1),9570(a,1))]. given #8556 (H,wt=23): 8865 (x \ K(x,y)) * (T(x,x \ 1) * z) = (K(x,y) / x) * (x * z). [para(8862(a,1),5781(a,1,2,1))]. given #8557 (H,wt=23): 8870 K(x,(K(y \ x,y) * z) \ x) = K(x,(z * K(y \ x,y)) \ x). [para(7396(a,1),8843(a,1,2,1))]. given #8558 (H,wt=23): 8899 (x / y) \ T(x,K(z,u)) = y * K(z,K(u,((x / y) \ 1) \ y)). [para(16(a,1),7951(a,1,2,1))]. given #8559 (H,wt=23): 8930 K(x * K(y,z),u / (w * K(y,x))) = K(x * K(y,z),u / w). [para(7573(a,1),8926(a,1,2,2,2))]. given #8560 (H,wt=21): 9579 K(x * K(y,x),z / (u * K(y,x))) = K(x,T(z / u,y)). [hyper(236,a,8085,a(flip),b,8930,a)]. given #8561 (H,wt=19): 9580 K(x,T(y / (z * K(u,x)),u)) = K(x,T(y / z,u)). [hyper(8428,a,9579,a)]. given #8562 (H,wt=23): 8933 T(x,R(y / (y / z),u,w)) = x * K(T(x,z \ y),R(z,u,w)). [para(4206(a,1),8240(a,1,2,1))]. given #8563 (H,wt=21): 9581 T(x,R(y / (y / z),u,w)) = x * K(T(x,y),R(z,u,w)). [para(8998(a,1),8933(a,2,2))]. given #8564 (H,wt=21): 9582 T(x,R((y * z) / y,u,w)) = T(x,R(y / (y / z),u,w)). [hyper(236,a,8240,a,b,9581,a),flip(a)]. given #8565 (H,wt=19): 9583 T(x,R(y / (y / z),u,w)) = T(x,R(T(z,y),u,w)). [hyper(236,a,8647,a(flip),b,9582,a(flip))]. given #8566 (H,wt=19): 9584 T(x,R(T(y,y \ z),u,w)) = T(x,R(T(y,z),u,w)). [hyper(236,a,8723,a,b,9583,a(flip)),flip(a)]. given #8567 (H,wt=19): 9585 T(x,R((y \ z) \ z,u,w)) = T(x,R(T(y,z),u,w)). [para(120(a,1),9584(a,1,2,1))]. given #8568 (H,wt=23): 8992 K(x,y \ (x \ ((x * z) * y))) = ((z * x) * y) \ ((x * z) * y). [para(13(a,1),8745(a,1,1,1,1)),flip(a)]. given #8569 (H,wt=20): 9586 ((x * y) * z) \ ((y * x) * z) = K(y,R(T(x,z),y,z)). [hyper(236,a,8773,a(flip),b,8992,a(flip))]. given #8570 (H,wt=23): 8993 (x / T(y \ 1,z)) \ K(y,y \ 1) = (x / T(1 / y,z)) \ 1. [para(8757(a,1),3638(a,1,1)),flip(a)]. given #8571 (H,wt=23): 9004 R(K(x,K(y,z \ 1)),u,w) * x = T(x,K(R(z,u,w) \ 1,y)). [para(8898(a,2),7958(a,1,1))]. given #8572 (H,wt=21): 9588 T(x,K(R(y,z,u) \ 1,w)) = R(K(x,K(y,w)),z,u) * x. [para(9238(a,1),9004(a,1,1,1)),flip(a)]. given #8573 (H,wt=21): 9589 T(x,K(R(y,z,u) \ 1,w)) = K(x,R(K(y,w),z,u)) * x. [para(8895(a,1),9588(a,2,1))]. given #8574 (H,wt=19): 9590 T(x,K(R(y,z,u) \ 1,w)) = T(x,R(K(y,w),z,u)). [hyper(236,a,4897,a,b,9589,a)]. given #8575 (H,wt=17): 9591 T(x,R(K(y,z),u,w)) = T(x,K(z,R(y,u,w))). [hyper(9299,a,9590,a),flip(a)]. given #8576 (H,wt=17): 9592 T(x,K(y,R(z,u,w))) = T(x,K(z,R(y,u,w))). [hyper(236,a,9430,a(flip),b,9591,a(flip))]. given #8577 (H,wt=23): 9064 R(T(x * y,x) / x,z,u) = R(y,z,u) * a(x,R(y,z,u),x). [hyper(236,a,1958,a,b,9047,a(flip)),flip(a)]. given #8578 (H,wt=22): 9595 R(x,y,z) * a(u,R(x,y,z),u) = R(x * a(u,x,u),y,z). [para(9047(a,1),9064(a,1,1)),flip(a)]. given #8579 (H,wt=23): 9100 x \ ((x \ L(x,y,x)) * T(x,z)) = T(x,z) * (R(x,y,x) \ 1). [para(9098(a,1),4778(a,2,2))]. given #8580 (H,wt=21): 9597 x \ ((x \ L(x,y,x)) * T(x,z)) = R(x,y,x) \ T(x,z). [hyper(236,a,2102,a(flip),b,9100,a)]. given #8581 (H,wt=19): 9598 x \ (K(x,y) * L(x,z,x)) = R(x,z,x) \ T(x,y). [para(5194(a,1),9597(a,1,2))]. given #8582 (H,wt=17): 9599 R(x,y,x) \ T(x,z) = x \ L(T(x,z),y,x). [para(8290(a,1),9598(a,1,2)),flip(a)]. given #8583 (H,wt=19): 9600 R((x * y) / x,z,y) \ y = y \ L(T(y,x),z,y). [hyper(236,a,7234,a,b,9599,a(flip)),flip(a)]. given #8584 (H,wt=23): 9107 T(K(x \ (y * x),x) * z,y * x) = K(y,x) * T(z,y * x). [para(4996(a,1),9106(a,2,1))]. given #8585 (H,wt=19): 9602 T(K(x,y) * z,x * y) = K(x,y) * T(z,x * y). [para(4996(a,1),9107(a,1,1,1))]. given #8586 (H,wt=19): 9603 T(x * K(y,z),z * y) = T(x,z * y) * K(y,z). [hyper(6141,a,9602,a),flip(a)]. given #8587 (H,wt=23): 9110 L(K(x,L(y,x,z)),T(y,u) * w,v5) = K(L(x,y,z),L(y,w,v5)). [para(8909(a,1),9108(a,1,1))]. given #8588 (H,wt=23): 9128 ((x * y) / x) / ((x * (z / (z / y))) / x) = K(y,T(y \ z,x)). [para(4799(a,2),9124(a,1,2,1,2))]. given #8589 (H,wt=23): 9133 K(x,y) * T((x \ 1) * z,K(x,y)) = (x \ 1) * (z * K(x,y)). [para(9132(a,2),6124(a,1,2))]. given #8590 (H,wt=19): 9606 ((x \ 1) * y) * K(x,z) = (x \ 1) * (y * K(x,z)). [hyper(220,a,9133,a)]. given #8591 (H,wt=12): 9607 L(K(x,y),z,x \ 1) = K(x,y). [hyper(7030,a,9606,a)]. given #8592 (H,wt=14): 9610 L(K(x \ 1,y),z,x) = K(x \ 1,y). [hyper(236,a,3615,a(flip),b,9607,a(flip)),flip(a)]. given #8593 (H,wt=14): 9611 K(L(x,y,x) \ 1,z) = K(x \ 1,z). [hyper(6082,a,9610,a)]. given #8594 (H,wt=14): 9613 K(R(x,y,x) \ 1,z) = K(x \ 1,z). [para(4430(a,1),9611(a,1,1,1)),flip(a)]. given #8595 (H,wt=16): 9614 R(K(x,y),z,x \ 1) = K((x \ 1) \ 1,y). [hyper(236,a,5903,a(flip),b,9613,a(flip)),flip(a)]. given #8596 (H,wt=12): 9615 R(K(x,y),z,x \ 1) = K(x,y). [hyper(236,a,3247,a(flip),b,9614,a)]. given #8597 (H,wt=12): 9616 K(x,R(y,z,x \ 1)) = K(x,y). [hyper(8920,a,9615,a)]. given #8598 (H,wt=19): 9609 ((x \ 1) * (y * K(x,z))) \ ((x \ 1) * y) = K(z,x). [para(9606(a,1),7549(a,1,1))]. given #8599 (H,wt=12): 9620 L(K(x,y),z,y \ 1) = K(x,y). [hyper(8808,a,9609,a)]. given #8600 (H,wt=12): 9621 K(L(x,y,z \ 1),z) = K(x,z). [hyper(9006,a,9620,a)]. given #8601 (H,wt=12): 9625 K(x,L(y,z,y \ 1)) = K(x,y). [hyper(236,a,9108,a(flip),b,9620,a(flip)),flip(a)]. given #8602 (H,wt=19): 9612 (x * y) * K(x \ 1,z) = x * (y * K(x \ 1,z)). [para(9610(a,1),103(a,1,2))]. given #8603 (H,wt=10): 9628 R(x,y,K(x \ 1,z)) = x. [hyper(7075,a,9612,a)]. given #8604 (H,wt=14): 9631 R(T(x,y),z,K(x \ 1,u)) = T(x,y). [para(9628(a,1),42(a,2,1))]. given #8605 (H,wt=13): 9632 T(x,y * K(x \ 1,z)) = T(x,y). [hyper(236,a,5990,a(flip),b,9631,a(flip))]. given #8606 (H,wt=13): 9636 T(x,K(x \ 1,y) * z) = T(x,z). [para(7281(a,1),9632(a,1,2))]. given #8607 (H,wt=13): 9638 T(x,K(1 / x,y) * z) = T(x,z). [para(3244(a,2),9636(a,1,2,1))]. given #8608 (H,wt=13): 9640 T(x,K(y,1 / x) * z) = T(x,z). [para(5268(a,1),9638(a,1,2)),flip(a)]. given #8609 (H,wt=15): 9635 K(x,y * K(x \ 1,z)) = x \ T(x,y). [hyper(72,a,9632,a(flip),b,4887,a(flip)),flip(a)]. given #8610 (H,wt=13): 9642 K(x,y * K(x \ 1,z)) = K(x,y). [hyper(236,a,4829,a,b,9635,a)]. given #8611 (H,wt=13): 9643 K(x,y * K(z,x \ 1)) = K(x,y). [para(7540(a,1),9642(a,1,2)),flip(a)]. given #8612 (H,wt=15): 9639 T(x \ 1,K(x,y) * z) = T(x \ 1,z). [para(3247(a,1),9636(a,1,2,1))]. given #8613 (H,wt=15): 9641 K(K(x,1 / y) * z,y) = y / T(y,z). [para(9640(a,1),4826(a,2,2))]. given #8614 (H,wt=13): 9646 K(K(x,1 / y) * z,y) = K(z,y). [hyper(236,a,4826,a,b,9641,a)]. given #8615 (H,wt=13): 9648 K(K(x,y \ 1) * z,y) = K(z,y). [para(5223(a,1),9646(a,1,1,1))]. given #8616 (H,wt=13): 9653 K(x * K(y,z \ 1),z) = K(x,z). [para(7337(a,1),9648(a,1,1))]. given #8617 (H,wt=15): 9647 K(K(x,y) * z,y \ 1) = K(z,y \ 1). [para(62(a,1),9646(a,1,1,1,2))]. given #8618 (H,wt=15): 9649 K(T(x,1 / y) / z,y) = K(x / z,y). [para(5696(a,1),9646(a,1,1))]. given #8619 (H,wt=15): 9652 K(x \ T(y,z \ 1),z) = K(x \ y,z). [para(5697(a,1),9648(a,1,1))]. given #8620 (H,wt=15): 9654 K(x * K(y,z),z \ 1) = K(x,z \ 1). [para(3386(a,1),9653(a,1,1,2))]. given #8621 (H,wt=17): 9644 K(x \ y,z * K(u,y \ x)) = K(x \ y,z). [para(6408(a,1),9643(a,1,2,2))]. given #8622 (H,wt=17): 9651 K(K(x,x \ y) * z,x / y) = K(z,x / y). [para(5326(a,1),9648(a,1,1,1))]. given #8623 (H,wt=17): 9655 K(x * K(y,z \ u),u \ z) = K(x,u \ z). [para(6408(a,1),9653(a,1,1,2))]. given #8624 (H,wt=19): 9617 (K(x,y) * z) * (x \ 1) = K(x,y) * (z * (x \ 1)). [para(9615(a,1),113(a,1,1)),flip(a)]. given #8625 (H,wt=12): 9661 L(x \ 1,y,K(x,z)) = x \ 1. [hyper(7030,a,9617,a)]. given #8626 (H,wt=19): 9629 x \ (y * K(x \ 1,z)) = (x \ y) * K(x \ 1,z). [hyper(587,a,9612,a)]. given #8627 (H,wt=19): 9657 K(x \ y,z * (x / y)) = K(x \ y,z * (y \ x)). [para(7544(a,1),9644(a,1,2))]. given #8628 (H,wt=19): 9658 K((x / y) * z,y / x) = K((y \ x) * z,y / x). [para(5568(a,1),9651(a,1,1))]. given #8629 (H,wt=19): 9659 K((x / y) \ z,y / x) = K((y \ x) \ z,y / x). [para(5757(a,1),9651(a,1,1)),flip(a)]. given #8630 (H,wt=19): 9660 K(x * (y / z),y \ z) = K(x * (z \ y),y \ z). [para(7544(a,1),9655(a,1,1))]. given #8631 (H,wt=19): 9663 T(K(x,y) * z,x \ 1) = K(x,y) * T(z,x \ 1). [hyper(168,a,9617,a,b,6122,a)]. given #8632 (H,wt=20): 9664 (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,z). [para(9661(a,1),850(a,1,1)),flip(a)]. given #8633 (H,wt=21): 9619 R(x * K(y,x),z,y \ 1) = R(x,z,y \ 1) * K(y,x). [para(9616(a,1),5658(a,1,2)),flip(a)]. given #8634 (H,wt=21): 9627 K(((x \ 1) * y) \ z,T(x,y)) = K(((x \ 1) \ z) / y,x). [hyper(8427,a,9621,a)]. given #8635 (H,wt=21): 9671 R(x * K(y,x),z,y \ 1) = K(y,x) * R(x,z,y \ 1). [hyper(236,a,3147,a(flip),b,9619,a)]. given #8636 (H,wt=23): 9165 L(K(x,x \ (y \ z)),y \ z,y) != u | K(x,y \ (x \ z)) = u. [para(6594(a,2),9162(a,1))]. given #8637 (H,wt=23): 9194 K(x,T(y \ (R(x,z,u) * w),w)) = K(x,(R(x,z,u) * w) / y). [hyper(8189,a,9193,a),flip(a)]. given #8638 (H,wt=23): 9220 K(x,K(y,z)) * (K(x,x \ y) * u) = K(x,T(x \ y,z)) * u. [para(9211(a,1),8576(a,1,1))]. given #8639 (H,wt=23): 9263 (x * K(y \ 1,z)) \ K(x,K(y,z)) = (K(y \ 1,z) * x) \ 1. [hyper(72,a,9244,a(flip),b,5728,a(flip))]. given #8640 (H,wt=23): 9274 K(x,K(y,(z \ 1) / (u / z))) = K(y,(T(u,x) / z) / (u / z)). [para(5918(a,1),9253(a,1,2)),flip(a)]. given #8641 (H,wt=23): 9423 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y \ z,z)). [para(5562(a,1),9264(a,2,2))]. given #8642 (H,wt=21): 9674 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y,z)). [hyper(236,a,9230,a(flip),b,9423,a)]. given #8643 (H,wt=17): 9675 K(x,(1 / y) * ((z \ y) * z)) = K(x,K(y,z)). [para(65(a,1),9674(a,1,2,2,1,2))]. given #8644 (H,wt=17): 9676 K(x,(y \ 1) * ((z \ y) * z)) = K(x,K(y,z)). [hyper(236,a,5477,a(flip),b,9675,a(flip)),flip(a)]. given #8645 (H,wt=23): 9424 K(x,K(y,z \ x)) * K(x,z / x) = K(x,T(1 / (z \ x),y)). [para(5371(a,1),9278(a,1,2))]. given #8646 (H,wt=21): 9677 K(x,K(y,z)) * K(y,x / y) = K(y,T(1 / (x \ y),z)). [para(9288(a,1),9424(a,1,1))]. given #8647 (H,wt=22): 9678 K(x,K(y,z)) * K(y,x / y) != u | K(y,T(x / y,z)) = u. [para(9677(a,2),9468(a,1))]. given #8648 (H,wt=23): 9460 R(K(x,y),z * (K(u,y) * x),w) = K(R(K(u,y) * x,z,w),y). [para(7479(a,1),9458(a,1,1))]. given #8649 (H,wt=23): 9470 K(x,y) * (z * T(z \ (K(x,y) \ u),y)) = z * T(z \ u,y). [hyper(236,a,405,a(flip),b,7168,a)]. given #8650 (H,wt=23): 9472 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(x,T(T(y,u),z)). [hyper(236,a,7260,a(flip),b,7306,a)]. given #8651 (H,wt=23): 9475 T(T(x,y),K(z,x)) * ((T(x,y) * K(z,x)) \ u) = K(z,x) \ u. [para(9474(a,1),741(a,1,1)),flip(a)]. given #8652 (H,wt=23): 9482 K((((x * y) \ x) \ 1) * z,y) = K(z * (1 / ((x * y) \ x)),y). [hyper(5634,a,7492,a)]. given #8653 (H,wt=23): 9485 x * (K(y,z) * L(T(y,x),u,w)) = L(y,u,w) * (x * K(y,z)). [hyper(6492,a,7593,a)]. given #8654 (H,wt=23): 9517 R(K(x,y),z * (y * K(u,x)),w) = K(x,R(y * K(u,x),z,w)). [para(7459(a,1),9515(a,1,1))]. given #8655 (H,wt=23): 9535 K((x \ 1) * y,R(x \ 1,z,u)) = K(x \ y,R(x \ 1,z,u)). [hyper(6070,a,9534,a),flip(a)]. given #8656 (H,wt=23): 9539 x \ ((y / z) \ (x * (z \ y))) = K(x,y / z) * K(z \ y,z). [hyper(72,a,9538,a(flip),b,4856,a)]. given #8657 (H,wt=21): 9684 x \ ((y / z) \ (x * (z \ y))) = z \ (y / T(y / z,x)). [hyper(236,a,9542,a(flip),b,9539,a)]. given #8658 (H,wt=23): 9541 K(x,y) * T(z / T(x,u),T(x,u)) = T(x,u) \ (K(x,y) * z). [hyper(236,a,9105,a(flip),b,8570,a(flip)),flip(a)]. given #8659 (H,wt=19): 9685 T(x,y) \ (K(x,z) * u) = K(x,z) * (T(x,y) \ u). [para(121(a,1),9541(a,1,2)),flip(a)]. given #8660 (H,wt=23): 9544 x \ R(x,(y \ z) \ 1,y \ z) = a(x,(z / y) \ 1,z / y). [hyper(72,a,9543,a(flip),b,3627,a)]. given #8661 (H,wt=21): 9686 a(x,(y / z) \ 1,y / z) = a(x,(z \ y) \ 1,z \ y). [hyper(3631,a,9544,a),flip(a)]. given #8662 (H,wt=23): 9548 T(K(x,y \ (z * x)),T(y,x * z)) = T(K(x,y \ (z * x)),y). [hyper(8424,a,9547,a),flip(a)]. given #8663 (H,wt=21): 9687 T(K(x,y \ (z * x)),T(y,z)) = T(K(x,y \ (z * x)),y). [hyper(236,a,8901,a(flip),b,9548,a(flip)),flip(a)]. given #8664 (H,wt=21): 9688 K(x,T(y \ (z * x),T(y,z))) = T(K(x,y \ (z * x)),y). [hyper(7817,a,9687,a)]. given #8665 (H,wt=23): 9558 (K(x,y) * K(x,K(z,u \ 1))) / u = T(K(x,y) / u,K(z,x)). [para(7919(a,1),8828(a,1,1,2))]. given #8666 (H,wt=21): 9690 (K(x,y) * K(x,K(z,u))) / u = T(K(x,y) / u,K(z,x)). [para(9242(a,1),9558(a,1,1,2))]. given #8667 (H,wt=19): 9691 K(x,y) / T(z,K(x,u)) = T(K(x,y) / z,K(u,x)). [hyper(236,a,7914,a(flip),b,9690,a(flip)),flip(a)]. given #8668 (H,wt=19): 9692 K(x,y) / T(z,K(x,u)) = T(K(x,y) / z,K(x,u)). [hyper(236,a,7981,a,b,9691,a)]. given #8669 (H,wt=23): 9562 K(x,K(y,R(z,u,w) * (z \ y))) = K(x,K(y,z \ R(z,u,w))). [para(1491(a,1),9559(a,1,2,2))]. given #8670 (H,wt=23): 9565 T(K(x,y),(z \ (u * x)) \ 1) = K(x,y) * K(x,K(y,z \ u)). [para(9563(a,1),9260(a,1,2)),flip(a)]. given #8671 (H,wt=19): 9694 T(K(x,y),(z \ (u * x)) \ 1) = T(K(x,y),z \ u). [hyper(236,a,7881,a(flip),b,9565,a)]. given #8672 (H,wt=17): 9695 T(K(x,y),z \ (u * x)) = T(K(x,y),z \ u). [hyper(9384,a,9694,a)]. given #8673 (H,wt=17): 9696 T(K(x,y),z \ (u / x)) = T(K(x,y),z \ u). [para(16(a,1),9695(a,1,2,2)),flip(a)]. given #8674 (H,wt=23): 9626 K(((x \ 1) * y) \ (z * (x \ 1)),x) = K(y \ T(z,x \ 1),x). [hyper(236,a,6571,a(flip),b,9620,a(flip)),flip(a)]. given #8675 (H,wt=21): 9698 K(((x \ 1) * y) \ (x \ z),x) = K(y \ T(z,x \ 1),x). [hyper(236,a,9186,a(flip),b,9626,a(flip)),flip(a)]. given #8676 (H,wt=17): 9699 K(((x \ 1) * y) \ (x \ z),x) = K(y \ z,x). [hyper(236,a,9652,a(flip),b,9698,a)]. given #8677 (H,wt=17): 9700 K(((x \ 1) * y) \ z,x) = K(y \ (z * x),x). [hyper(7833,a,9699,a)]. given #8678 (H,wt=20): 9701 K(L(x,y,y \ 1) \ z,y) = K((x * y) \ (z * y),y). [hyper(236,a,8733,a(flip),b,9700,a(flip)),flip(a)]. given #8679 (H,wt=16): 9702 K(L(x,y,y \ 1) \ z,y) = K(x \ z,y). [hyper(236,a,8530,a(flip),b,9701,a)]. given #8680 (H,wt=23): 9662 (x \ 1) * T(K(x,y) * z,x \ 1) = K(x,y) * (z * (x \ 1)). [hyper(222,a,9617,a)]. given #8681 (H,wt=23): 9673 K(x,T(x \ y,z)) * (K(y,z) * x) = T(x,x \ y) * K(y,z). [hyper(236,a,6717,a(flip),b,9220,a(flip))]. given #8682 (H,wt=23): 9680 T(T(x,y),K(z,x)) * ((T(x,y) * K(z,x)) \ u) = K(x,z) * u. [hyper(236,a,5260,a(flip),b,9475,a)]. given #8683 (H,wt=23): 9681 K((((x * y) \ x) \ 1) * z,y) = K(z * (((x * y) \ x) \ 1),y). [hyper(236,a,5428,a(flip),b,9482,a)]. given #8684 (H,wt=24): 7150 T(x,R(T(x,y) \ z,u,w)) != v5 | T(x,R(z / T(x,y),u,w)) = v5. [para(185(a,1),7149(a,1,2))]. given #8685 (H,wt=24): 7186 T(T(x,y) * K(z,y),K(y,u)) != w | T(x * K(z,y),T(y,u)) = w. [para(7167(a,1),7185(a,1,1))]. given #8686 (H,wt=24): 7261 R(T(K(x,(y / z) \ x),u),x,z) = K(x,T((y / (x * z)) \ 1,u)). [hyper(236,a,6845,a,b,7256,a),flip(a)]. given #8687 (H,wt=24): 7333 T(x,L(y,z,u)) * K(y,x) != w | T(x * K(y,x),L(y,z,u)) = w. [para(7274(a,1),5811(a,1,2))]. given #8688 (H,wt=24): 7334 K(T(R(x,x \ y,y \ z),z),u) = K(((x \ y) * (y \ z)) \ z,u). [para(685(a,1),7245(a,1,1,1)),flip(a)]. given #8689 (H,wt=24): 7356 R(x,y,K(z,T(u,y))) * (K(z,u) * y) = (x * y) * K(z,T(u,y)). [para(7281(a,1),113(a,1,2))]. given #8690 (H,wt=24): 7531 L(x,y,z) \ L(T(x,T(u,w)),y,z) = K(L(x,y,z),T(u,x \ w)). [para(7528(a,1),4888(a,1,2,1))]. given #8691 (H,wt=19): 9707 K(L(x,y,z),T(u,x \ w)) = K(L(x,y,z),T(u,w)). [hyper(5130,a,7531,a),flip(a)]. given #8692 (H,wt=19): 9708 K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,y)). [hyper(236,a,7318,a,b,9707,a(flip)),flip(a)]. given #8693 (H,wt=24): 7562 x * L(y,K(z,u),x * K(u,z)) = (x * K(u,z)) * (K(z,u) * y). [para(7540(a,1),103(a,1,1))]. given #8694 (H,wt=19): 9710 (x * K(y,z)) * (K(z,y) * K(u,y)) = x * K(u,y). [para(9085(a,1),7562(a,1,2)),flip(a)]. given #8695 (H,wt=19): 9712 (x * K(y,z)) * (K(u,y) * K(z,y)) = x * K(u,y). [para(5852(a,1),9710(a,1,2))]. given #8696 (H,wt=17): 9713 (K(x,y) * K(x,z)) \ 1 = K(y,x) * K(z,x). [hyper(72,a,5101,a(flip),b,9712,a)]. given #8697 (H,wt=24): 7605 K(R(x,y,z),u * K(x,w)) = R(x * K(u,x),y,z) \ R(x,y,z). [para(7574(a,1),5671(a,1,1,1,2)),flip(a)]. given #8698 (H,wt=17): 9714 K(R(x,y,z),u * K(x,w)) = K(R(x,y,z),u). [hyper(236,a,5671,a(flip),b,7605,a)]. given #8699 (H,wt=17): 9715 K(R(x,y,z),u * K(w,x)) = K(R(x,y,z),u). [para(7540(a,1),9714(a,1,2)),flip(a)]. given #8700 (H,wt=24): 7866 (x * y) * (z * K(y,z)) != u * w | ((x * T(y,z)) * z) / w = u. [para(7619(a,2),555(a,1))]. given #8701 (H,wt=24): 7876 ((x * y) * T(z,y)) / ((y * K(z,y)) * z) = R(x,y * K(z,y),z). [hyper(74,a,7746,a(flip),b,113,a)]. given #8702 (H,wt=22): 9716 ((x * y) * T(z,y)) / (y * T(z,y)) = R(x,y * K(z,y),z). [para(6188(a,1),7876(a,1,2))]. given #8703 (H,wt=15): 9717 R(x,y * K(z,y),z) = R(x,y,T(z,y)). [hyper(475,a,9716,a),flip(a)]. given #8704 (H,wt=17): 9718 R(x,y \ z,T(y,y \ z)) = R(x,z / y,y). [para(4903(a,1),9717(a,1,2)),flip(a)]. given #8705 (H,wt=24): 7877 (x * (y * K(z,y))) * z != u * w | ((x * y) * T(z,y)) / w = u. [para(7746(a,2),555(a,1))]. given #8706 (H,wt=24): 7878 (x * (y * T(z,y))) \ ((x * y) * T(z,y)) = a(x,y * K(z,y),z). [para(7746(a,1),6204(a,1,2))]. given #8707 (H,wt=18): 9719 a(x,y * K(z,y),z) != u | a(x,y,T(z,y)) = u. [para(7878(a,1),679(a,1))]. given #8708 (H,wt=24): 8001 ((K(x,y) * z) * u) / (K(x,y) * u) = T(R(z,K(x,y),u),K(x,y)). [para(746(a,2),7983(a,1,1)),flip(a)]. given #8709 (H,wt=24): 8080 K(T(x,y),R(T(z,y * u),y,u)) = K(x,(y * u) \ ((y * z) * u)). [para(984(a,1),8054(a,1,2))]. given #8710 (H,wt=15): 9720 K(x,K(y,(z * u) \ ((z * x) * u))) = 1. [para(8080(a,1),8023(a,1,2))]. given #8711 (H,wt=24): 8108 R(T(K(x,T(y,z)),z * u),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(8047(a,1),615(a,1,2,1)),flip(a)]. given #8712 (H,wt=24): 8128 K(L(T(x,y),y,z),T(u,z * y)) = K((z * (x * y)) / (z * y),u). [para(178(a,1),8068(a,1,1))]. given #8713 (H,wt=24): 8138 K(L(x,y,z / (y * x)),T(u,z)) = K(z / ((z / (y * x)) * y),u). [para(315(a,1),8074(a,1,1,2)),flip(a)]. given #8714 (H,wt=24): 8253 L(x \ (y / K(z,u)),x,K(z,u)) = (K(z,u) * x) \ T(y,K(z,u)). [para(8193(a,1),105(a,2,2))]. given #8715 (H,wt=24): 8348 K(x,(y * (x / y)) \ (x * z)) != u | K(x,K(y \ x,y) * z) = u. [para(6151(a,1),8342(a,1,2))]. given #8716 (H,wt=24): 8397 K(x \ (K(y,z) * u),T(y,u)) != w | K((K(y,z) * u) / x,y) = w. [para(7409(a,1),8171(a,1,2))]. given #8717 (H,wt=17): 9723 K(x \ y,T(z,y)) = K((K(z,u) * y) / x,z). [hyper(8397,a,8699,a),flip(a)]. given #8718 (H,wt=15): 9724 K((K(x,y) * z) / u,x) = K(z / u,x). [hyper(8171,a,9723,a),flip(a)]. given #8719 (H,wt=19): 9725 K(x,(K(x,y) * z) / u) = (w * K(z / u,x)) \ w. [para(9724(a,1),7549(a,1,1,2)),flip(a)]. given #8720 (H,wt=15): 9726 K(x,(K(x,y) * z) / u) = K(x,z / u). [hyper(236,a,7647,a(flip),b,9725,a)]. given #8721 (H,wt=15): 9727 K(x,(y * x) / z) = K(x,(x * y) / z). [para(4817(a,1),9726(a,1,2,1)),flip(a)]. given #8722 (H,wt=15): 9728 K(x,(y * K(z,x)) / u) = K(x,y / u). [para(8093(a,1),9726(a,1,2,1)),flip(a)]. given #8723 (H,wt=15): 9730 K(x,(y * x) / z) = K(x,(z / y) \ x). [hyper(236,a,6834,a(flip),b,9727,a)]. given #8724 (H,wt=15): 9734 K(x,y / (x \ z)) = K(x,(z / y) \ x). [hyper(236,a,7682,a(flip),b,9730,a(flip)),flip(a)]. given #8725 (H,wt=17): 9729 K(x,(y * T(x,z)) / u) = K(x,(y * x) / u). [para(8156(a,1),9726(a,1,2,1))]. given #8726 (H,wt=17): 9733 T(K(x,y \ (z * x)),y) = K(x,(y / z) \ x). [hyper(236,a,8056,a,b,9730,a(flip)),flip(a)]. given #8727 (H,wt=17): 9736 K(x,T(y \ (x * z),z)) = K(x,(y / z) \ x). [hyper(236,a,8655,a,b,9734,a(flip)),flip(a)]. given #8728 (H,wt=17): 9737 K(x,(y * T(x,z)) / u) = K(x,y / (x \ u)). [hyper(236,a,7682,a(flip),b,9729,a)]. given #8729 (H,wt=15): 9740 K(x,(x \ y) / (x \ z)) = K(x,y / z). [para(165(a,1),9737(a,1,2,1)),flip(a)]. given #8730 (H,wt=15): 9741 K(x,(x \ y) / (z / x)) = K(x,y / z). [hyper(8180,a,9740,a)]. given #8731 (H,wt=15): 9742 K(x,(x \ y) / z) = K(x,y / (z * x)). [para(15(a,1),9741(a,1,2,2))]. given #8732 (H,wt=18): 9731 K(x,(y * x) / z) != u | K(x,(z / y) \ x) = u. [para(9727(a,2),6836(a,1))]. given #8733 (H,wt=18): 9743 K(x,y / (x \ z)) != u | K(x,(z / y) \ x) = u. [para(7682(a,1),9731(a,1))]. given #8734 (H,wt=19): 9735 K(x,y / (x \ z)) * u = K(x,(z / y) \ x) * u. [hyper(22,a,9734,a)]. given #8735 (H,wt=15): 9745 T(x,y / (x \ z)) = T(x,(z / y) \ x). [hyper(5567,a,9735,a)]. given #8736 (H,wt=15): 9746 T(x,(y * x) / z) = T(x,(z / y) \ x). [hyper(236,a,7681,a,b,9745,a(flip)),flip(a)]. given #8737 (H,wt=19): 9738 K(x,T(y \ (z * x),T(y,z))) = K(x,(y / z) \ x). [hyper(236,a,9688,a,b,9733,a(flip)),flip(a)]. given #8738 (H,wt=20): 9744 K(x,T(y \ (z * x),z)) != u | K(x,(y / z) \ x) = u. [para(8468(a,2),9731(a,1))]. given #8739 (H,wt=17): 9748 K(x,T((y \ z) \ x,y)) = K(x,(z / y) \ x). [hyper(9744,a,9187,a(flip)),flip(a)]. given #8740 (H,wt=17): 9750 K(x,((y * z) / y) \ x) = K(x,T(z \ x,y)). [para(13(a,1),9748(a,1,2,1,1)),flip(a)]. given #8741 (H,wt=20): 9749 K(x,T((y \ z) \ x,y)) != u | K(x,(z / y) \ x) = u. [para(9187(a,2),9744(a,1))]. given #8742 (H,wt=21): 9732 K(x,K(y,(z * K(u,y)) / w)) = K(x,K(y,1 / (z / w))). [para(9728(a,2),9256(a,2,2)),flip(a)]. given #8743 (H,wt=19): 9752 K(x,K(y,(z * K(u,y)) / w)) = K(x,K(y,z / w)). [hyper(236,a,9256,a(flip),b,9732,a)]. given #8744 (H,wt=17): 9753 K(x,K(y,K(z,y) / u)) = K(x,K(y,1 / u)). [para(11(a,1),9752(a,1,2,2,1))]. given #8745 (H,wt=23): 9739 K(x,T(y \ (x * z),z)) * u = u * K(x,T((y / z) \ x,u)). [para(9736(a,2),7281(a,2,1)),flip(a)]. given #8746 (H,wt=23): 9754 (K(x,y) / z) * K(u,K(y,1 / z)) = T(K(x,y) / z,K(u,y)). [para(9753(a,1),7933(a,1,2))]. given #8747 (H,wt=19): 9755 T(K(x,y) / z,K(x,y)) = T(K(x,y),1 / z) / z. [hyper(236,a,7911,a(flip),b,9754,a(flip))]. given #8748 (H,wt=19): 9756 T(K(x,y) / z,K(x,y)) = K(x,T(y,1 / z)) / z. [para(7256(a,2),9755(a,2,1))]. given #8749 (H,wt=17): 9757 T(K(x,y) / z,K(x,y)) = K(x,T(y,z)) / z. [para(9347(a,1),9756(a,2,1))]. given #8750 (H,wt=23): 9758 T(K(x,y) / z,K(x,y)) * K(u,z) = K(x,T(y,z)) / T(z,u). [para(9757(a,2),7555(a,1,1))]. given #8751 (H,wt=24): 8399 K(x \ T(x * y,z),T(u,x)) != w | K(x \ T(y * x,z),u) = w. [para(4616(a,1),8178(a,1,1))]. given #8752 (H,wt=24): 8412 K(((x * y) \ x) \ 1,(x * y) \ x) != z | K(y,(x * y) \ x) = z. [para(2712(a,2),8409(a,1))]. given #8753 (H,wt=24): 8465 T((T(x,y) \ z) * x,K(x,y)) / x != u | T(z / T(x,y),x) = u. [para(8196(a,1),5514(a,1))]. given #8754 (H,wt=17): 9759 T(T(x,y) \ z,K(x,y)) = T(z / T(x,y),x). [hyper(8465,a,7159,a),flip(a)]. given #8755 (H,wt=24): 8480 (x * (y * T(x,z))) \ ((x * y) * T(x,z)) = a(x,y * K(x,z),x). [para(8270(a,1),6204(a,1,2))]. given #8756 (H,wt=15): 9760 a(x,y * K(x,z),x) = a(x,y,T(x,z)). [hyper(679,a,8480,a),flip(a)]. given #8757 (H,wt=11): 9761 a(x,y,T(x,z)) = a(x,y,x). [hyper(9148,a,9760,a),flip(a)]. given #8758 (H,wt=14): 9762 a(x,y,T(x,z)) != u | a(x,y,x) = u. [para(9760(a,1),9148(a,1))]. given #8759 (H,wt=14): 9763 a(x,T(y,x),x) != z | a(x,y,x) = z. [para(9761(a,1),8762(a,1))]. given #8760 (H,wt=24): 8486 T(x,y) * T(x \ K(x,z),x) != u | (x \ K(x,z)) * T(x,y) = u. [para(8382(a,1),220(a,1,2))]. given #8761 (H,wt=24): 8523 (x * (y * T(y \ (x \ z),u))) \ z != w | K(u,(x * y) \ z) = w. [para(857(a,1),7669(a,1,1))]. given #8762 (H,wt=24): 8594 (x * R(K(y,z),u,w)) * R(K(z,y),u,w) != v5 * v6 | x / v6 = v5. [para(8591(a,1),529(a,1,2))]. given #8763 (H,wt=24): 8635 T(L(K(x,y),z,u) \ w,L(K(x,y),z,u)) = w / L(K(x,y),z,u). [hyper(668,a,8633,a)]. given #8764 (H,wt=24): 8636 x * K(T(x,y),R(z,u,w)) != v5 | T(x,R((y * z) / y,u,w)) = v5. [para(8141(a,1),4890(a,1,2))]. given #8765 (H,wt=24): 8643 T(x,T(L(y \ 1,y,z),u)) = K(x,u) * T(x * K(u,x),y \ 1). [para(6379(a,1),8639(a,1,2)),flip(a)]. given #8766 (H,wt=18): 9765 T(x,T(L(y \ 1,y,z),u)) = T(x,T(y \ 1,u)). [hyper(236,a,8639,a(flip),b,8643,a)]. given #8767 (H,wt=17): 9766 T(x,T((y \ z) \ 1,u)) = T(x,T(z \ y,u)). [para(347(a,1),9765(a,1,2,1)),flip(a)]. given #8768 (H,wt=17): 9767 T(x,((y \ z) * u) \ u) = T(x,T(z \ y,u)). [hyper(7522,a,9766,a)]. given #8769 (H,wt=17): 9768 T(x,y \ T(z,z \ y)) = T(x,T(y \ z,z)). [para(5958(a,1),9767(a,1,2))]. given #8770 (H,wt=15): 9769 T(x,x \ T(y,y \ x)) = T(x,x \ y). [hyper(236,a,3920,a(flip),b,9768,a)]. given #8771 (H,wt=19): 9771 T(x,x \ y) / T(y,y \ x) = y \ T(x,x \ y). [para(9769(a,1),197(a,1,2))]. given #8772 (H,wt=19): 9772 T(x,x \ y) / ((y \ x) \ x) = y \ T(x,x \ y). [hyper(674,a,9771,a)]. given #8773 (H,wt=19): 9773 x \ T(y,y \ x) = y / ((y \ ((x \ y) \ y)) * y). [hyper(236,a,6373,a(flip),b,9772,a(flip))]. given #8774 (H,wt=24): 8754 L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * (y \ z))). [para(1204(a,1),7338(a,1,2)),flip(a)]. given #8775 (H,wt=24): 8776 K(x,y) * L(T(z,x),u,w) != v5 | T(K(x,y) * L(z,u,w),x) = v5. [para(40(a,2),8774(a,1,2))]. given #8776 (H,wt=24): 8846 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (x \ y)) \ u). [para(8839(a,1),6594(a,1,1))]. given #8777 (H,wt=24): 8946 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) != v5 | K(w,x) = v5. [para(8274(a,1),7560(a,1,1))]. given #8778 (H,wt=13): 9774 L(K(x,y),z,L(y,u,w)) = K(x,y). [hyper(8946,a,8803,a),flip(a)]. given #8779 (H,wt=13): 9775 K(L(x,y,L(z,u,w)),z) = K(x,z). [hyper(9006,a,9774,a)]. given #8780 (H,wt=13): 9776 K(x,L(y,z,L(y,u,w))) = K(x,y). [hyper(236,a,9108,a(flip),b,9774,a(flip)),flip(a)]. given #8781 (H,wt=24): 8999 K(T(x,y),z \ T(x,y)) != u | K(x,T(z \ T(T(x,w),y),y)) = u. [para(8836(a,1),7823(a,1))]. given #8782 (H,wt=24): 9060 K(x,y \ 1) * K(x * ((z * y) \ z),x) = a(x,(z * y) \ z,x). [para(6407(a,1),9040(a,1,1))]. given #8783 (H,wt=24): 9067 R(x * a(y,x,y),z,u) * y = y * R(y \ T(y * x,y),z,u). [para(9047(a,1),618(a,1,1,1))]. given #8784 (H,wt=24): 9125 ((x * y) / x) / ((x * (y * K(z,y))) / x) != u | K(y,T(z,x)) = u. [para(9102(a,1),5272(a,1,2))]. given #8785 (H,wt=24): 9138 L(K(x,T(y,z)),z,u) * (u * z) = u * (K(x,T(y,u * z)) * z). [para(7353(a,1),7287(a,1,2)),flip(a)]. given #8786 (H,wt=24): 9151 L(K(x,T(T(y,z),u * z)),z,u) = (u * (K(x,y) * z)) / (u * z). [para(7281(a,1),8050(a,1,1,2)),flip(a)]. given #8787 (H,wt=24): 9396 (x \ 1) * K(y,T(z,x)) != (x \ 1) * u | T(K(y,z),x \ 1) = u. [para(9349(a,2),169(a,2)),flip(a)]. given #8788 (H,wt=24): 9431 L(T(T(K(x,y),z),u),u \ 1,u) = T(u * (K(x,y) * (u \ 1)),z). [para(9386(a,1),123(a,2,1))]. given #8789 (H,wt=20): 9780 T(x * (K(y,z) * (x \ 1)),x) = L(K(y,z),x \ 1,x). [para(8058(a,1),9431(a,1,1)),flip(a)]. given #8790 (H,wt=24): 9433 T(x,y) * (K(y * R(x,z,u),x) * w) = R(x,y,R(x,z,u)) * w. [para(9426(a,1),5589(a,1,1)),flip(a)]. given #8791 (H,wt=24): 9437 K(x,T(T(x * T(y,z),u),y)) != w | K(x,T(x * T(y,z),u)) = w. [para(9391(a,2),7817(a,1))]. given #8792 (H,wt=24): 9471 K(x,T((y \ 1) * ((z \ y) * z),u)) != w | K(z,K(x,T(y,u))) = w. [para(7296(a,2),9381(a,1))]. given #8793 (H,wt=24): 9494 (((x * y) * K(y,z)) * (y \ 1)) / K(y,z) = R(x,y,y \ K(y,z)). [hyper(74,a,9490,a,b,309,a)]. given #8794 (H,wt=22): 9782 ((x * T(y,z)) * (y \ 1)) / K(y,z) = R(x,y,y \ K(y,z)). [para(6201(a,1),9494(a,1,1,1))]. given #8795 (H,wt=22): 9783 ((x * T(y,z)) * (y \ 1)) * K(z,y) = R(x,y,y \ K(y,z)). [hyper(7561,a,9782,a)]. given #8796 (H,wt=20): 9784 (x * T(y,z)) * (y \ K(z,y)) = R(x,y,y \ K(y,z)). [hyper(236,a,6957,a(flip),b,9783,a(flip)),flip(a)]. given #8797 (H,wt=24): 9495 x * (y \ K(y,z)) != u * w | ((x * K(y,z)) * (y \ 1)) / w = u. [para(9490(a,1),555(a,1))]. given #8798 (H,wt=24): 9532 (x / y) * (z * K(y \ x,y)) != u | T((y \ x) * z,K(x,y)) = u. [para(8266(a,1),9314(a,1))]. given #8799 (H,wt=19): 9785 T((x \ y) * z,K(y,x)) = (x \ y) * T(z,K(y,x)). [hyper(9532,a,9531,a)]. given #8800 (H,wt=24): 9537 K(1 / x,y) \ K(K(1 / x,y),z) != u | K(y,1 / T(x,z)) = u. [para(8435(a,2),5116(a,1))]. given #8801 (H,wt=24): 9593 T(x,K(y \ z,R(u,y,y \ 1))) = T(x,K(u,T(z * (y \ 1),y))). [para(634(a,1),9592(a,1,2,2)),flip(a)]. given #8802 (H,wt=24): 9689 T(K(x,y \ (z * x)),y) != u | K(x,T(y \ (z * x),T(y,z))) = u. [para(9687(a,1),7817(a,1))]. given #8803 (H,wt=24): 9705 R(K(x,T((y / z) \ x,u)),x,z) = K(x,T((y / (x * z)) \ 1,u)). [para(7256(a,2),7261(a,1,1))]. given #8804 (H,wt=21): 9787 K(x,T((y / (x * z)) \ 1,u)) = K(x,T((y / z) \ x,u)). [hyper(3970,a,9705,a),flip(a)]. given #8805 (H,wt=17): 9789 K(x,T((y / z) \ x,y)) = K(x,y \ (x * z)). [hyper(236,a,7697,a(flip),b,9787,a(flip))]. given #8806 (H,wt=17): 9790 K(x,T((y / z) \ x,y)) = K(x,y \ (z * x)). [hyper(236,a,8833,a,b,9789,a)]. given #8807 (H,wt=17): 9791 K(x,y \ (x * (z \ y))) = K(x,T(z \ x,y)). [para(62(a,1),9789(a,1,2,1,1)),flip(a)]. given #8808 (H,wt=17): 9792 K(x,y \ ((z \ y) * x)) = K(x,T(z \ x,y)). [para(62(a,1),9790(a,1,2,1,1)),flip(a)]. given #8809 (H,wt=19): 9793 K(x,T(y \ x,x * z)) = K(x,z \ (y \ (x * z))). [hyper(8343,a,9791,a),flip(a)]. given #8810 (H,wt=17): 9794 K(x,y \ (z \ (x * y))) = K(x,T(z \ x,y)). [hyper(7827,a,9793,a),flip(a)]. given #8811 (H,wt=24): 9706 K(R(T(x,y),x \ z,z \ y),u) = K(((x \ z) * (z \ y)) \ y,u). [para(42(a,2),7334(a,1,1))]. given #8812 (H,wt=24): 9721 R(K(x,T(T(y,z),z * u)),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(7256(a,2),8108(a,1,1))]. given #8813 (H,wt=24): 9722 K(L(x,y,z),T(T(u,z * y),y)) = K((z * (x * y)) / (z * y),u). [hyper(7825,a,8128,a)]. given #8814 (H,wt=24): 9778 T(x * R(x \ (x * y),z,u),x) = R(y * a(x,y,x),z,u) * x. [hyper(236,a,1939,a,b,9067,a),flip(a)]. given #8815 (H,wt=20): 9799 R(x * a(y,x,y),z,u) * y = T(y * R(x,z,u),y). [para(13(a,1),9778(a,1,1,2,1)),flip(a)]. given #8816 (H,wt=24): 9779 L(T(K(x,T(y,z * u)),u),u,z) = (z * (K(x,y) * u)) / (z * u). [para(7278(a,1),9151(a,1,1))]. given #8817 (H,wt=24): 9798 K(L(x,y,z),T(T(u,y),z * y)) = K((z * (x * y)) / (z * y),u). [para(38(a,1),9722(a,1,2))]. given #8818 (H,wt=25): 7157 T(x * K(y,z),T(y \ x,K(y,z))) = T((x / y) * T(y,z),x / y). [para(7139(a,1),6233(a,1,2))]. given #8819 (H,wt=25): 7343 K(R(x / y,z,u) / w,y \ x) = K(w \ R(x / y,z,u),y \ x). [para(5250(a,1),7272(a,1,2))]. given #8820 (H,wt=24): 9801 K(x \ R(1 / y,y,z),y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(236,a,7060,a(flip),b,7343,a(flip))]. given #8821 (H,wt=23): 9803 K(x / (y * (z * x)),z \ 1) = K(y \ (x / (z * x)),z \ 1). [para(159(a,1),9801(a,1,1,2)),flip(a)]. given #8822 (H,wt=23): 9804 K(x / (y * (z * x)),z \ 1) = K(y \ ((z * x) \ x),z \ 1). [hyper(236,a,8703,a(flip),b,9803,a)]. given #8823 (H,wt=24): 9802 K(x \ R(y \ 1,y,z),y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(236,a,5739,a(flip),b,9801,a(flip)),flip(a)]. given #8824 (H,wt=25): 7418 T(x,y) * K(z,T(x,K(x,u) * y)) = T(x * K(z,x),K(x,u) * y). [para(7409(a,1),5493(a,1,1))]. given #8825 (H,wt=21): 9806 T(x * K(y,x),K(x,z) * u) = T(x,u) * K(y,T(x,u)). [para(7409(a,1),7418(a,1,2,2)),flip(a)]. given #8826 (H,wt=19): 9807 T(x * K(y,x),K(x,z) * u) = T(x * K(y,x),u). [hyper(236,a,5493,a(flip),b,9806,a)]. given #8827 (H,wt=25): 7542 L(x * K(y,z),u,w) * K(z,y) = K(z,y) * L(K(y,z) * x,u,w). [para(7396(a,1),181(a,1,2,1)),flip(a)]. given #8828 (H,wt=25): 7565 (x * (y * K(z,u))) \ (x * y) != w | L(K(u,z),y * K(z,u),x) = w. [para(7540(a,1),447(a,1,2,2))]. given #8829 (H,wt=17): 9810 L(K(x,y),z * K(y,x),u) = L(K(x,y),z,u). [hyper(7565,a,8803,a)]. given #8830 (H,wt=25): 7676 K(x * K(L(y,z,u),w),L(y,v5,v6)) = L(T(y,x),v5,v6) \ L(y,v5,v6). [para(7675(a,1),4838(a,1,1,1)),flip(a)]. given #8831 (H,wt=20): 9811 K(x * K(L(y,z,u),w),L(y,v5,v6)) = K(x,L(y,v5,v6)). [hyper(236,a,4838,a(flip),b,7676,a)]. given #8832 (H,wt=20): 9812 K(K(L(x,y,z),u) * w,L(x,v5,v6)) = K(w,L(x,v5,v6)). [para(7281(a,1),9811(a,1,1))]. given #8833 (H,wt=17): 9813 K(K(x,y) * z,L(x,u,w)) = K(z,L(x,u,w)). [para(320(a,1),9812(a,1,1,1,1))]. given #8834 (H,wt=19): 9814 K(x \ T(y,z),L(z,u,w)) = K(x \ y,L(z,u,w)). [para(5540(a,1),9813(a,1,1)),flip(a)]. given #8835 (H,wt=21): 9815 K(x \ (y / z),L(z,u,w)) = K(x \ (z \ y),L(z,u,w)). [para(121(a,1),9814(a,1,1,2)),flip(a)]. given #8836 (H,wt=25): 7729 ((x * y) * z) / (x * T(y,z)) = T(z,y) * K(x * T(y,z),T(z,y)). [hyper(74,a,7618,a(flip),b,4900,a)]. given #8837 (H,wt=23): 9816 ((x * y) * z) / (x * T(y,z)) = T(z,y) * K(x * y,T(z,y)). [para(7683(a,1),7729(a,2,2))]. given #8838 (H,wt=21): 9817 ((x * y) * z) / (x * T(y,z)) = T(z * K(x * y,z),y). [hyper(236,a,5493,a(flip),b,9816,a)]. given #8839 (H,wt=25): 7760 (x * T(y,z)) * L(K(u,y),w,v5) = x * (T(y,z) * L(K(u,y),w,v5)). [para(7758(a,1),444(a,1,2,1))]. given #8840 (H,wt=25): 7810 K(x \ y,T(z,(x \ y) \ T(y,x))) = K(x \ y,T(z,x * K(y,x))). [para(5043(a,1),7808(a,1,2,2))]. given #8841 (H,wt=19): 9818 K(x \ y,T(z,(x \ y) \ T(y,x))) = K(y / x,z). [hyper(236,a,8450,a(flip),b,7810,a)]. given #8842 (H,wt=15): 9819 K(x \ y,T(z,T(y,x))) = K(y / x,z). [hyper(7824,a,9818,a)]. given #8843 (H,wt=25): 7852 K(x \ y,z \ (x \ y)) * (y / x) = T(y / x,T((x * z) \ y,x)). [para(6601(a,1),7372(a,1,1))]. given #8844 (H,wt=25): 7949 K(x,K(y,((1 / z) / (u / z)) \ 1)) * (u / z) = T(u,K(x,y)) / z. [para(7923(a,2),5696(a,1,1))]. given #8845 (H,wt=25): 7977 K(x,K(y,((1 / z) / (u / z)) \ 1)) = K(x,(T(u,y) / z) / (u / z)). [para(5682(a,1),7937(a,1,2)),flip(a)]. given #8846 (H,wt=23): 9821 K(x,(T(y,z) / u) / (y / u)) * (y / u) = T(y,K(x,z)) / u. [para(7977(a,1),7949(a,1,1))]. given #8847 (H,wt=25): 8165 T(x,T(T(y \ (z \ y),T(z,u)),y)) = T(x,(((z \ 1) \ 1) \ y) / y). [para(6048(a,1),8152(a,1,2,1)),flip(a)]. given #8848 (H,wt=23): 9824 T(x,T((y \ z) / z,T(y,u))) = T(x,(((y \ 1) \ 1) \ z) / z). [hyper(8244,a,8165,a)]. given #8849 (H,wt=21): 9825 T(x,T((y \ z) / z,T(y,u))) = T(x,((y \ 1) \ 1) \ 1). [hyper(236,a,4184,a(flip),b,9824,a)]. given #8850 (H,wt=17): 9827 T(x,T((y \ z) / z,T(y,u))) = T(x,y \ 1). [hyper(236,a,4503,a(flip),b,9825,a)]. given #8851 (H,wt=25): 8362 T((x / (y * K(z,y))) * y,z / (z / y)) = ((z * y) / z) \ (x * y). [hyper(5897,a,8314,a),flip(a)]. given #8852 (H,wt=21): 9828 T(x * K(y,z),z / (z / y)) = ((z * y) / z) \ (x * y). [para(6395(a,1),8362(a,1,1))]. given #8853 (H,wt=25): 8375 (L(x,y,z) * u) * K(w,T(x,v5)) = L(x,y,z) * (u * K(w,T(x,v5))). [para(8374(a,1),471(a,1,1,1)),flip(a)]. given #8854 (H,wt=17): 9829 L(K(x,T(y,z)),u,L(y,w,v5)) = K(x,T(y,z)). [hyper(7030,a,8375,a)]. given #8855 (H,wt=14): 9830 L(K(x,T(y,z)),u,y) = K(x,T(y,z)). [para(320(a,1),9829(a,1,3))]. given #8856 (H,wt=19): 9832 K((x \ y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). [hyper(236,a,6568,a(flip),b,9830,a(flip))]. given #8857 (H,wt=21): 9831 K((x \ 1) * y,T(x \ 1,z)) = K(x \ y,T(x \ 1,z)). [hyper(6596,a,9830,a)]. given #8858 (H,wt=25): 8388 R(T(x * K(y,x),y),z,x * K(y,x)) = R(x,z,T(x * K(y,x),u)). [para(4853(a,1),8355(a,1,1)),flip(a)]. given #8859 (H,wt=19): 9834 R(x,y,T(x * K(z,x),u)) = R(x,y,x * K(z,x)). [para(4853(a,1),8388(a,1,1)),flip(a)]. given #8860 (H,wt=13): 9835 R(x,y,x * K(z,x)) = R(x,y,x). [para(4853(a,1),9834(a,1,3)),flip(a)]. given #8861 (H,wt=17): 9836 R(x \ y,z,y / x) = R(x \ y,z,x \ y). [para(4903(a,1),9835(a,1,3))]. given #8862 (H,wt=25): 8404 K(L(x \ y,x,z),T(u,z * x)) != w | K((z * y) / (z * x),u) = w. [para(105(a,2),8184(a,1,1))]. given #8863 (H,wt=25): 8407 K(x,L(T(y \ z,u * y),y,u)) != w | K(x,(u * z) / (u * y)) = w. [para(456(a,1),8187(a,1,2))]. given #8864 (H,wt=25): 8408 K(x,L(T(y \ z,u),y,u / z)) != w | K(x,u / ((u / z) * y)) = w. [para(729(a,1),8189(a,1,2))]. given #8865 (H,wt=25): 8432 K(x,K(y,z)) * ((K(x,u) * z) \ w) = T(K(x,u) * z,K(x,y)) \ w. [para(8034(a,1),7906(a,1,1))]. given #8866 (H,wt=21): 9837 K(x,K(y,z)) * ((K(x,y) * z) \ u) = (z * K(x,y)) \ u. [para(7222(a,1),8432(a,2,1))]. given #8867 (H,wt=25): 8436 K(1 / T(x,y),z) \ K(K(1 / T(x,y),z),y) = K(1 / x,z) \ 1. [para(8062(a,1),7962(a,2,1))]. given #8868 (H,wt=23): 9838 K(1 / T(x,y),z) \ K(K(1 / T(x,y),z),y) = K(z,1 / x). [hyper(236,a,5093,a(flip),b,8436,a)]. given #8869 (H,wt=15): 9839 K(x,1 / T(T(y,z),z)) = K(x,1 / y). [hyper(9537,a,9838,a)]. given #8870 (H,wt=17): 9840 K(x,1 / ((y * z) / y)) = K(x,1 / T(z,y)). [para(162(a,1),9839(a,1,2,2,1)),flip(a)]. given #8871 (H,wt=15): 9842 K(x,K(y,z) / y) = K(x,1 / T(y,z)). [para(5087(a,2),9840(a,1,2))]. given #8872 (H,wt=17): 9843 K(x,K(1 / y,z) / (1 / y)) = T(K(x,y),z). [hyper(236,a,5652,a(flip),b,9842,a)]. given #8873 (H,wt=17): 9844 K(x,1 / (K(y,z \ 1) / z)) = T(K(x,z),y). [para(5718(a,1),9843(a,1,2))]. given #8874 (H,wt=15): 9845 K(x,y * K(y \ 1,z)) = T(K(x,y),z). [hyper(236,a,7584,a(flip),b,9844,a(flip)),flip(a)]. given #8875 (H,wt=15): 9846 K(x,y * K(1 / y,z)) = T(K(x,y),z). [para(3244(a,2),9845(a,1,2,2))]. given #8876 (H,wt=19): 9841 K(x,1 / T(y,z / y)) = K(x,1 / (z / (z / y))). [para(186(a,1),9839(a,1,2,2,1))]. given #8877 (H,wt=21): 9847 T(K(x,y),z / (1 / y)) = K(x,1 / (z / (z / (1 / y)))). [hyper(236,a,5652,a(flip),b,9841,a(flip)),flip(a)]. given #8878 (H,wt=25): 8472 K(a(x,y,z),T(u,(x * y) * z)) = K(a(x,y,z),T(u,x * (y * z))). [para(91(a,1),8467(a,1,2,2))]. given #8879 (H,wt=25): 8739 T(x * L(y * K(x,y),z,u),x) = R(x,L(y,z,u),x) * L(y,z,u). [para(5656(a,1),8737(a,1,1,2))]. given #8880 (H,wt=25): 8743 T(T(x,y) * R(x \ z,u,w),x) = T(x,y) * R(x \ T(z,x),u,w). [para(1941(a,1),8730(a,1,2)),flip(a)]. given #8881 (H,wt=25): 8769 K(T(x,L(x,y,z) * u),T(w,u)) != v5 | K(L(x,u,L(x,y,z)),w) = v5. [para(1473(a,1),8181(a,1,1))]. given #8882 (H,wt=25): 8772 x \ R(x,y,L(x,z,u)) != w | K(x,y) * K(y * L(x,z,u),x) = w. [para(8624(a,1),5185(a,1,2))]. given #8883 (H,wt=25): 8815 (x * (((y \ ((x \ z) * u)) * y) / u)) \ z = K(y,(x * (y / u)) \ z). [para(1403(a,1),7714(a,1,1,2))]. given #8884 (H,wt=25): 8877 (x \ 1) / (x \ K(x,(y * (x \ z)) \ u)) = K((y * (z / x)) \ u,x). [para(8823(a,1),5262(a,1,2,2))]. given #8885 (H,wt=22): 9852 K((x * (y / z)) \ u,z) != w | K((x * (z \ y)) \ u,z) = w. [para(8877(a,1),5376(a,1))]. given #8886 (H,wt=25): 8891 L(x,K(y,K(z,u)),u / K(w,z)) = L(x,v5 / v6,(v6 * (v5 / v6)) \ v5). [para(7463(a,1),7900(a,1,2,2))]. given #8887 (H,wt=25): 8982 (K(x,K(y,z)) * T(x,K(u,w))) \ x = K(u,K(w,x)) * K(z,K(x,y)). [para(7920(a,1),8491(a,2,2))]. given #8888 (H,wt=25): 9014 (x * K(y,z)) * R(K(z,u),w,v5) = x * (K(y,z) * R(K(z,u),w,v5)). [para(9010(a,1),443(a,1,2,1))]. given #8889 (H,wt=25): 9016 (x * L(K(y,z),u,w)) * K(z,v5) = x * (L(K(y,z),u,w) * K(z,v5)). [para(9015(a,1),103(a,1,2))]. given #8890 (H,wt=25): 9081 R(T(x / y,K(y,x)),z,x / y) = a(x / y,z,x / y) * (x / y). [para(7172(a,1),9080(a,1,2)),flip(a)]. given #8891 (H,wt=25): 9170 x * K(L(K(y,z),T(z,u),w),x) != v5 * (z \ x) | T(z,K(y,x)) = v5. [para(8770(a,2),20(a,1))]. given #8892 (H,wt=25): 9183 (x * (y * z)) * u != x * ((y * z) * K(w,y)) | K(w,L(y,z,x)) = u. [para(8975(a,1),19(a,1)),flip(a)]. given #8893 (H,wt=25): 9286 K(x,K(y \ (z * u),u \ (z \ 1))) = K(x,K(z * u,(z \ y) \ u)). [para(6627(a,1),9251(a,1,2)),flip(a)]. given #8894 (H,wt=25): 9463 x \ R(x,y,R(x,z,u)) != w | K(y * R(x,z,u),x) * K(x,y) = w. [para(9432(a,1),2193(a,1))]. given #8895 (H,wt=25): 9481 (x * L(y,z \ T(x,z),z)) \ (x * y) = a(T(z,x),T(z,x) \ x,y). [para(9480(a,1),4146(a,1,1))]. given #8896 (H,wt=25): 9488 (((x / y) * T(y,z)) * u) \ (x * u) = K(z,((x / y) * u) \ (x * u)). [para(65(a,1),7715(a,1,1,1,2,1))]. given #8897 (H,wt=23): 9859 K(x,((y / z) * u) \ (y * u)) = ((y * K(z,x)) * u) \ (y * u). [para(6200(a,1),9488(a,1,1,1)),flip(a)]. given #8898 (H,wt=23): 9860 ((x * K(y,z)) * u) * K(z,((x / y) * u) \ (x * u)) = x * u. [para(9859(a,2),14(a,1,2))]. given #8899 (H,wt=19): 9862 ((x * K(y,z)) * K(y,u)) * K(z,y) = x * K(y,u). [para(6225(a,1),9860(a,1,2,2))]. given #8900 (H,wt=19): 9864 K(x,T(y,(z * K(u,x)) * w)) = K(x,T(y,z * w)). [para(9860(a,1),7812(a,1,2,2)),flip(a)]. given #8901 (H,wt=19): 9865 K(x / ((y * K(z,u)) * w),u) = K(x / (y * w),u). [para(9860(a,1),8922(a,1,1,2)),flip(a)]. given #8902 (H,wt=19): 9866 K(x,y / ((z * K(u,x)) * w)) = K(x,y / (z * w)). [para(9860(a,1),8929(a,1,2,2)),flip(a)]. given #8903 (H,wt=19): 9868 (x * K(y,z)) * K(u,y) = (x * K(u,y)) * K(y,z). [para(7540(a,1),9862(a,1,1,1))]. given #8904 (H,wt=19): 9869 K(x,T(y,(z * x) * u)) = K(x,T(y,(x * z) * u)). [para(95(a,1),9864(a,1,2,2,1))]. given #8905 (H,wt=17): 9877 K(x,T(y,(z * x) * u)) = K(x,T(y,z * u)). [hyper(9415,a,9869,a(flip)),flip(a)]. given #8906 (H,wt=19): 9870 K(x / ((K(y,z) * u) * w),z) = K(x / (u * w),z). [para(7249(a,1),9865(a,1,1,2,1))]. given #8907 (H,wt=19): 9871 K(x / ((K(y,z) * u) * w),y) = K(x / (u * w),y). [para(7550(a,1),9865(a,1,1,2,1)),flip(a)]. given #8908 (H,wt=19): 9872 K(x,y / ((K(z,x) * u) * w)) = K(x,y / (u * w)). [para(7249(a,1),9866(a,1,2,2,1))]. given #8909 (H,wt=19): 9873 K(x,y / ((K(x,z) * u) * w)) = K(x,y / (u * w)). [para(7550(a,1),9866(a,1,2,2,1)),flip(a)]. given #8910 (H,wt=19): 9875 (x * K(y,z)) * K(u,y) = x * (K(y,z) * K(u,y)). [hyper(236,a,9020,a(flip),b,9868,a)]. given #8911 (H,wt=12): 9882 L(K(x,y),K(y,z),u) = K(x,y). [hyper(436,a,9875,a)]. given #8912 (H,wt=16): 9886 L(K(x,T(y,z)),K(y,u),w) = K(x,T(y,z)). [para(8054(a,1),9882(a,1,2))]. given #8913 (H,wt=18): 9885 L(L(K(x,y),z,u),K(y,w),v5) = L(K(x,y),z,u). [para(9882(a,1),45(a,1,1)),flip(a)]. given #8914 (H,wt=19): 9883 (x * K(y,z)) \ (x * K(y,u)) = K(y,u) * K(z,y). [hyper(72,a,9862,a(flip),b,9875,a(flip))]. given #8915 (H,wt=21): 9876 ((x * K(y,z)) * K(u,y)) * y = (x * K(u,y)) * T(y,z). [para(9868(a,2),6188(a,1,1))]. given #8916 (H,wt=21): 9889 (K(x,y) * z) \ (z * K(x,u)) = K(x,u) * K(T(y,z),x). [para(7281(a,1),9883(a,1,1))]. given #8917 (H,wt=21): 9890 (x * K(y,z)) * (y * K(u,y)) = (x * K(u,y)) * T(y,z). [hyper(7770,a,9876,a)]. given #8918 (H,wt=19): 9892 (x * K(y,z)) * T(z,u) = x * (T(z,u) * K(y,z)). [hyper(236,a,9546,a(flip),b,9890,a(flip))]. given #8919 (H,wt=21): 9891 (K(x,y) * z) \ (z * K(x,u)) = K(x,u) * K(y,T(x,z)). [hyper(236,a,7305,a(flip),b,9889,a)]. given #8920 (H,wt=21): 9893 (x * (y * K(z,y))) * K(y,u) = x * (T(y,u) * K(z,y)). [hyper(236,a,7710,a,b,9892,a(flip)),flip(a)]. given #8921 (H,wt=22): 9888 x / L(L(K(y,z),u,w),K(z,v5),v6) = x * L(K(z,y),u,w). [para(9885(a,2),8800(a,1,2))]. given #8922 (H,wt=23): 9863 K(((x / y) * z) \ (x * z),u) = (x * z) \ ((x * K(y,u)) * z). [para(9860(a,1),7549(a,1,1)),flip(a)]. given #8923 (H,wt=23): 9874 (x * K(T(y,z),u)) * K(u,w) = (x * K(u,w)) * K(y,T(u,z)). [hyper(8525,a,9868,a),flip(a)]. given #8924 (H,wt=23): 9878 K(x,T(y / ((z * x) * u),z * u)) = K(x,((z * x) * u) \ y). [para(121(a,1),9877(a,1,2)),flip(a)]. given #8925 (H,wt=23): 9887 (x * K(y,z)) * K(u,T(y,w)) = x * (K(y,z) * K(u,T(y,w))). [para(9886(a,1),103(a,1,2))]. given #8926 (H,wt=23): 9894 (K(x,y) * z) \ (K(x,u) * z) = K(x,T(u,z)) * K(y,T(x,z)). [para(7281(a,1),9891(a,1,2))]. given #8927 (H,wt=23): 9896 (x * K(y,T(z,u))) * K(z,w) = (x * K(z,w)) * K(y,T(z,u)). [para(7260(a,1),9874(a,1,1,2))]. given #8928 (H,wt=23): 9897 (x * K(y,T(z,u))) * K(z,w) = x * (K(z,w) * K(y,T(z,u))). [hyper(236,a,9887,a(flip),b,9896,a)]. given #8929 (H,wt=25): 9502 K((((x * y) \ x) \ 1) * z,x \ (x * y)) = K(z / ((x * y) \ x),y). [para(13(a,1),9501(a,2,2))]. given #8930 (H,wt=21): 9898 K((((x * y) \ x) \ 1) * z,y) = K(z / ((x * y) \ x),y). [para(13(a,1),9502(a,1,2))]. given #8931 (H,wt=21): 9899 K(x * (((y * z) \ y) \ 1),z) = K(x / ((y * z) \ y),z). [hyper(236,a,9681,a(flip),b,9898,a(flip)),flip(a)]. given #8932 (H,wt=24): 9900 K(x * (((y * z) \ y) \ 1),z) != u | K(((y * z) \ y) \ x,z) = u. [para(9899(a,2),8123(a,1))]. given #8933 (H,wt=25): 9504 T(x,y) * ((z / x) * K(x,K(z,y))) = T(T(x,y),x \ z) * (x \ z). [para(9503(a,1),7324(a,1,2))]. given #8934 (H,wt=25): 9528 x * ((y / T(z,y)) * u) != (y / z) * u | R(K(z,y),z \ y,u) = x. [para(9527(a,1),20(a,1)),flip(a)]. given #8935 (H,wt=25): 9549 (x \ ((y \ (x * z)) * y)) * u = (z * K((x \ 1) \ (y \ z),y)) * u. [para(4785(a,1),8667(a,2,1)),flip(a)]. given #8936 (H,wt=21): 9901 (x * K((y \ 1) \ (z \ x),z)) * y = (z \ (x * y)) * z. [hyper(4789,a,9549,a),flip(a)]. given #8937 (H,wt=19): 9902 (x * K((y \ z) \ x,z)) * y = (z \ (x * y)) * z. [para(8495(a,1),9901(a,1,1,2))]. given #8938 (H,wt=25): 9594 T(K(x,y) * z,K(x,R(u,w,v5))) = K(x,y) * T(z,K(u,R(x,w,v5))). [para(9592(a,1),8935(a,2,2))]. given #8939 (H,wt=25): 9596 R(x * a(y,x,y),z,u) != R(x,z,u) * w | a(y,R(x,z,u),y) = w. [para(9595(a,1),19(a,1))]. given #8940 (H,wt=25): 9668 (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (y / x)). [para(9657(a,2),6305(a,2,2))]. given #8941 (H,wt=25): 9669 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (y / x),y \ x). [para(9660(a,2),6431(a,2,2))]. given #8942 (H,wt=25): 9670 T(K(x,y) * L(z,u,w),x \ 1) = K(x,y) * L(T(z,x \ 1),u,w). [para(40(a,2),9663(a,2,2))]. given #8943 (H,wt=25): 9672 x \ R(x * K(y,x),z,y \ 1) = K(y,x) * (x \ R(x,z,y \ 1)). [hyper(72,a,9671,a,b,5367,a)]. given #8944 (H,wt=23): 9903 x \ R(x * K(y,x),y,y \ 1) = K(y,x) * a(x,y,y \ 1). [para(688(a,1),9672(a,2,2))]. given #8945 (H,wt=20): 9904 K(x,y) * a(y,x,x \ 1) = y \ ((x * y) * (x \ 1)). [para(5034(a,1),9903(a,1,2)),flip(a)]. given #8946 (H,wt=24): 9905 K(x,(x \ ((y * x) * (y \ 1))) \ z) = K(x,a(x,y,y \ 1) \ z). [para(9904(a,1),8822(a,1,2,1))]. given #8947 (H,wt=24): 9906 K(x,((y * x) * (y \ 1)) \ (x * z)) = K(x,a(x,y,y \ 1) \ z). [hyper(236,a,8279,a(flip),b,9905,a(flip)),flip(a)]. given #8948 (H,wt=25): 9709 T(x,L((y \ z) \ z,u,w)) = (v5 * K(L(y,u,w),T(x,z))) \ (v5 * x). [para(9708(a,1),7636(a,1,1,2)),flip(a)]. given #8949 (H,wt=19): 9907 T(x,L((y \ z) \ z,u,w)) = T(x,T(L(y,u,w),z)). [hyper(236,a,7660,a(flip),b,9709,a)]. given #8950 (H,wt=19): 9908 T(x,L((y \ z) \ z,u,w)) = T(x,L(T(y,z),u,w)). [para(40(a,2),9907(a,2,2))]. given #8951 (H,wt=19): 9910 T(x,L(T(y,z * y),u,w)) = T(x,L(T(y,z),u,w)). [para(4138(a,2),9908(a,1,2,1)),flip(a)]. given #8952 (H,wt=21): 9909 T(x,L((y \ z) \ z,u,w)) = x * K(x,L(T(y,z),u,w)). [hyper(236,a,4887,a(flip),b,9908,a)]. given #8953 (H,wt=22): 9913 T(x,L((y \ z) \ z,u,w)) != v5 | T(x,L(T(y,z),u,w)) = v5. [para(9909(a,2),4890(a,1))]. given #8954 (H,wt=23): 9912 K(x,T(L((y \ z) \ z,u,w),v5)) = K(T(x,v5),L(T(y,z),u,w)). [hyper(17,a,7320,a,b,9909,a(flip)),flip(a)]. given #8955 (H,wt=23): 9914 K(x,T(L((y \ z) \ z,u,w),v5)) = K(x,T(L(T(y,z),u,w),v5)). [hyper(236,a,7260,a(flip),b,9912,a)]. given #8956 (H,wt=23): 9915 K(x,T(L((y \ z) \ z,u,w),v5)) = K(x,L(T(T(y,z),v5),u,w)). [para(40(a,2),9914(a,2,2))]. given #8957 (H,wt=23): 9916 K(x,L(T((y \ z) \ z,u),w,v5)) = K(x,L(T(T(y,z),u),w,v5)). [para(40(a,2),9915(a,1,2))]. given #8958 (H,wt=24): 9911 T(x,L((y \ z) \ z,u,w)) != x * v5 | K(x,L(T(y,z),u,w)) = v5. [para(9908(a,2),4954(a,1))]. given #8959 (H,wt=25): 9711 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = (K(z,x) * K(y,x)) \ 1. [hyper(394,a,5101,a(flip),b,9710,a)]. given #8960 (H,wt=25): 9851 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (z / y)) \ u). [para(4787(a,1),8815(a,1,1,2))]. given #8961 (H,wt=25): 9853 L(x,K(y,K(z,u)),y / K(w,u)) = L(x,v5 / v6,(v6 * (v5 / v6)) \ v5). [para(7923(a,1),8891(a,1,2))]. given #8962 (H,wt=14): 9918 L(x,K(y,K(z,u)),y / K(w,u)) = x. [hyper(236,a,3976,a(flip),b,9853,a)]. given #8963 (H,wt=25): 9854 (K(x,K(y,z)) * T(y,K(u,w))) \ y = K(u,K(w,y)) * K(x,K(y,z)). [para(7923(a,1),8982(a,1,1,1))]. given #8964 (H,wt=23): 9920 T(T(x,K(y,z)),K(y,u)) \ x = K(y,K(u,x)) * K(y,K(x,z)). [para(8939(a,1),9854(a,1,1))]. given #8965 (H,wt=23): 9921 T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(y,K(x,z)). [para(7923(a,1),9920(a,2,1))]. given #8966 (H,wt=23): 9922 T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(x,K(y,z)). [para(7919(a,1),9921(a,2,2))]. given #8967 (H,wt=25): 9855 (x * K(y,z)) * R(K(z,u),w,v5) = x * (R(K(z,u),w,v5) * K(y,z)). [para(2199(a,2),9014(a,2,2))]. given #8968 (H,wt=25): 9856 (x * K(y,z)) * (K(z,y) * R(K(y,u),w,v5)) = x * R(K(y,u),w,v5). [para(7540(a,1),9014(a,1,1)),flip(a)]. given #8969 (H,wt=25): 9857 (x * L(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * L(K(y,z),u,w)). [para(2194(a,1),9016(a,2,2))]. given #8970 (H,wt=25): 9895 (x / (K(y,z) * L(K(u,y),w,v5))) * K(y,z) = x * L(K(y,u),w,v5). [hyper(779,a,9888,a)]. given #8971 (H,wt=25): 9917 K(x,L(T(T(y \ z,z),u),w,v5)) = K(x,L(T(T(y \ z,y),u),w,v5)). [para(4108(a,2),9916(a,1,2,1,1)),flip(a)]. given #8972 (H,wt=25): 9923 x / (K(y,z) * R(K(z,u),w,v5)) = (x * R(K(u,z),w,v5)) * K(z,y). [hyper(74,a,8592,a(flip),b,9856,a)]. given #8973 (H,wt=25): 9924 (x * (K(y,z) * L(K(u,y),w,v5))) * K(z,y) = x * L(K(u,y),w,v5). [hyper(7559,a,9857,a)]. given #8974 (H,wt=25): 9925 K(x,L(T(T(y \ z,u),y),w,v5)) = K(x,L(T(T(y \ z,z),u),w,v5)). [para(38(a,1),9917(a,2,2,1)),flip(a)]. given #8975 (H,wt=25): 9926 K(x,L(T(T(y \ z,u),z),w,v5)) = K(x,L(T(T(y \ z,u),y),w,v5)). [para(38(a,1),9925(a,2,2,1)),flip(a)]. given #8976 (H,wt=23): 9927 K(x,L(T(T(y \ z,u),z),w,v5)) = K(x,L(T(z / y,u),w,v5)). [hyper(236,a,8489,a(flip),b,9926,a)]. given #8977 (H,wt=23): 9928 K(x,L(T(y / (y / z),u),w,v5)) = K(x,L(T(T(z,u),y),w,v5)). [para(65(a,1),9927(a,1,2,1,1,1)),flip(a)]. given #8978 (H,wt=26): 7670 (x * ((x \ y) * K(z \ (x \ y),u))) \ y != w | K(u,(x * z) \ y) = w. [para(6615(a,2),7560(a,1,1))]. given #8979 (H,wt=23): 9929 L(K(x,y \ (z \ u)),z \ u,z) != w | K(x,(z * y) \ u) = w. [para(8804(a,1),7670(a,1))]. given #8980 (H,wt=26): 7733 ((x * (1 / y)) * K(z,L(y,y \ 1,x))) \ x = T((x * (1 / y)) \ x,z). [para(2767(a,2),7638(a,1,1,2,2))]. given #8981 (H,wt=21): 9931 ((x * (1 / y)) * K(z,y)) \ x = T((x * (1 / y)) \ x,z). [para(8977(a,1),7733(a,1,1,2))]. given #8982 (H,wt=19): 9932 (x * (1 / T(y,z))) \ x = T((x * (1 / y)) \ x,z). [para(7024(a,1),9931(a,1,1))]. given #8983 (H,wt=26): 7788 K(x \ (y * z),z) * K(z,(y \ x) \ 1) = z \ R(z,(y \ x) \ 1,z). [para(7742(a,1),5641(a,1,1))]. given #8984 (H,wt=24): 9935 K(x \ (y * z),z) * K(z,x \ y) = z \ R(z,(y \ x) \ 1,z). [para(6408(a,1),7788(a,1,2))]. given #8985 (H,wt=22): 9936 K(x \ (y * z),z) * K(z,x \ y) = a(z,(y \ x) \ 1,z). [hyper(236,a,9038,a(flip),b,9935,a)]. given #8986 (H,wt=26): 7815 K(x,T(y,L(y,z,u) * (y \ w))) != v5 | K(x,T(y,L(y,z,u) * w)) = v5. [para(1205(a,1),7255(a,1,2,2))]. given #8987 (H,wt=25): 9937 L(K(x,T(y,z)),z,L(y,u,w)) != v5 | K(x,T(y,L(y,u,w) * z)) = v5. [para(8754(a,2),7815(a,1))]. given #8988 (H,wt=16): 9938 K(x,T(y,L(y,z,u) * w)) = K(x,T(y,w)). [hyper(9937,a,9829,a)]. given #8989 (H,wt=16): 9939 K(x,T(y,L(y,z,u) \ w)) = K(x,T(y,w)). [para(14(a,1),9938(a,1,2,2)),flip(a)]. given #8990 (H,wt=26): 8125 K(((x * y) * z) / (x * (y * z)),u) = K(a(x,y,z),T(u,x * (y * z))). [para(91(a,1),8067(a,1,1,1))]. given #8991 (H,wt=26): 8132 K(x,((y * z) * u) / (y * (z * u))) = K(x,T(a(y,z,u),y * (z * u))). [para(24(a,2),8069(a,1,2,1)),flip(a)]. given #8992 (H,wt=26): 8405 K((x * (y \ 1)) \ z,x / y) != u | K(z / (x * (y \ 1)),x / y) = u. [para(627(a,1),8184(a,1,2))]. given #8993 (H,wt=26): 8571 T(K(x,y) * (z / T(x,u)),T(x,u)) != w | T(x,u) \ (K(x,y) * z) = w. [para(7198(a,1),280(a,1,1))]. given #8994 (H,wt=26): 8584 K(x,y) * (z * K(u,y)) != K(u,y) * w | T(K(x,y) * z,K(u,y)) = w. [para(7405(a,1),169(a,2)),flip(a)]. given #8995 (H,wt=26): 8653 T(x,y) * (z * K(x,u)) != K(x,u) * w | T(T(x,y) * z,K(x,u)) = w. [para(8273(a,1),169(a,2)),flip(a)]. given #8996 (H,wt=26): 8656 K(x,T(y \ (x * z),z)) * u != u * w | K(x,T(z / (x \ y),u)) = w. [para(8655(a,2),7352(a,1,1))]. given #8997 (H,wt=19): 9942 K(x,T(y / (x \ z),u)) = K(x,T((z / y) \ x,u)). [hyper(8656,a,9739,a)]. given #8998 (H,wt=21): 9943 x * K(x,T((y / z) \ x,u)) = T(x,T(z / (x \ y),u)). [para(9942(a,1),4887(a,2,2)),flip(a)]. given #8999 (H,wt=22): 9944 T(x,T(y / (x \ z),u)) != w | T(x,T((z / y) \ x,u)) = w. [para(9943(a,1),4890(a,1))]. given #9000 (H,wt=17): 9945 T(x,T((y / z) \ x,y)) = T(x,y \ (x * z)). [hyper(9944,a,8763,a)]. given #9001 (H,wt=17): 9946 T(x,y \ (x * (z \ y))) = T(x,T(z \ x,y)). [para(62(a,1),9945(a,1,2,1,1)),flip(a)]. given #9002 (H,wt=26): 8669 x * ((y \ (x \ z)) * y) != u * w | u \ (z * K(x \ (y \ z),y)) = w. [para(8380(a,1),545(a,1))]. given #9003 (H,wt=26): 8867 K(x \ ((y \ z) * y),L(y,u,w)) = L(T(y,x \ z),u,w) \ L(y,u,w). [para(8859(a,1),4838(a,1,1,1)),flip(a)]. given #9004 (H,wt=21): 9947 K(x \ ((y \ z) * y),L(y,u,w)) = K(x \ z,L(y,u,w)). [hyper(236,a,4838,a(flip),b,8867,a)]. given #9005 (H,wt=21): 9948 K(x \ (y * z),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). [para(13(a,1),9947(a,1,1,2,1))]. given #9006 (H,wt=26): 8869 L(x,y,z) \ L(T(x,u \ (x * w)),y,z) = K(L(x,y,z),u \ (w * x)). [para(8861(a,1),4888(a,1,2,1))]. given #9007 (H,wt=24): 9949 K(L(x,y,z),u \ (w * x)) != v5 | K(L(x,y,z),u \ (x * w)) = v5. [para(8869(a,1),5130(a,1))]. given #9008 (H,wt=26): 9027 (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = L(K(z,u),y,x) * K(u,w). [para(9023(a,1),499(a,1,1))]. given #9009 (H,wt=26): 9088 K(x,y) * z != u * (K(x,y) * K(w,x)) | T(u * K(w,x),K(x,y)) = z. [para(9020(a,1),169(a,2))]. given #9010 (H,wt=26): 9092 L((K(x,y) * K(z,x)) \ 1,K(x,y) * K(z,x),u) = K(y,x) * K(x,z). [hyper(381,a,9090,a)]. given #9011 (H,wt=26): 9136 L(T(x,y \ (z * x)),u,w) \ L(x,u,w) = K((y / x) \ z,L(x,u,w)). [para(9135(a,1),4838(a,1,1,1))]. given #9012 (H,wt=21): 9950 K((x / y) \ z,L(y,u,w)) = K(x \ (z * y),L(y,u,w)). [hyper(5124,a,9136,a),flip(a)]. given #9013 (H,wt=24): 9951 K((x / y) \ z,L(y,u,w)) != v5 | K(x \ (z * y),L(y,u,w)) = v5. [para(9136(a,1),5124(a,1))]. given #9014 (H,wt=26): 9169 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(K(a(x,z,T(y,z)),z),u). [para(8709(a,1),7886(a,1,1)),flip(a)]. given #9015 (H,wt=26): 9447 K(x,T((y * (x \ z)) \ u,y * z)) != w | K(x,u / (y * (x \ z))) = w. [para(9445(a,1),8187(a,1))]. given #9016 (H,wt=26): 9473 T(T(x * K(y,x),z),u) \ T(T(x,z),u) != w | K(x,T(T(y,u),z)) = w. [para(7306(a,2),7823(a,1))]. given #9017 (H,wt=26): 9560 K(x,T(y,(y \ z) \ u)) != K(x,y) * w | K(x,K(y,z \ (u * y))) = w. [para(8847(a,1),19(a,1))]. given #9018 (H,wt=26): 9618 K(x,y) * (z * (x \ 1)) != (x \ 1) * u | T(K(x,y) * z,x \ 1) = u. [para(9615(a,1),479(a,1,1))]. given #9019 (H,wt=26): 9693 K(x,K(y,R(z,u,w) * (z \ y))) != v5 | K(x,K(y,R(z,u,w) \ z)) = v5. [para(9562(a,2),9287(a,1))]. given #9020 (H,wt=26): 9703 T(x,y) \ T(x * K(z \ u,x),y) = K(L(z,x,x \ 1) \ u,T(x,y)). [para(9702(a,1),5754(a,1,2,1,2))]. given #9021 (H,wt=20): 9953 K(L(x,y,y \ 1) \ z,T(y,u)) = K(x \ z,T(y,u)). [hyper(5755,a,9703,a),flip(a)]. given #9022 (H,wt=21): 9954 K(((1 / x) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). [para(2920(a,1),9953(a,1,1,1))]. given #9023 (H,wt=21): 9955 K(((x \ 1) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). [hyper(236,a,5740,a(flip),b,9954,a(flip)),flip(a)]. given #9024 (H,wt=21): 9956 K(((x \ 1) * y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). [hyper(236,a,9832,a(flip),b,9955,a)]. given #9025 (H,wt=19): 9957 K(x \ (y * z),T(y,x)) = K(((y \ 1) \ z) / x,y). [hyper(236,a,9627,a(flip),b,9956,a(flip))]. given #9026 (H,wt=17): 9958 K(((x \ 1) \ y) / z,x) = K((x * y) / z,x). [hyper(8184,a,9957,a),flip(a)]. given #9027 (H,wt=17): 9959 K(((x \ 1) \ y) / z,x) = K((z / y) \ x,x). [hyper(236,a,6828,a(flip),b,9958,a)]. given #9028 (H,wt=17): 9960 K((x / ((y \ 1) * z)) \ y,y) = K(z / x,y). [para(13(a,1),9959(a,1,1,1)),flip(a)]. given #9029 (H,wt=17): 9961 K(x / (y * ((z \ 1) * x)),z) = K(y \ z,z). [para(15(a,1),9960(a,1,1,1)),flip(a)]. given #9030 (H,wt=21): 9962 K(x / (y * ((z \ 1) * x)),(z \ 1) \ 1) = K(y \ z,z). [hyper(5397,a,9961,a)]. given #9031 (H,wt=26): 9751 K(x,T((y / (z * y)) \ x,z)) = K(x,R(1 / (1 / (1 / z)),z,y) \ x). [para(4220(a,2),9750(a,1,2,1)),flip(a)]. given #9032 (H,wt=26): 9797 R(K(T(T(x,y),y * z),u),y,z) = ((y * z) \ ((y * K(u,x)) * z)) \ 1. [para(9721(a,1),6802(a,1,1)),flip(a)]. given #9033 (H,wt=26): 9800 L(T(K(x \ y,T(x,z)),z),z,y) = (y * (K(x \ y,x) * z)) / (y * z). [para(9436(a,1),9779(a,1,1,1))]. given #9034 (H,wt=22): 9964 (x * (K(y \ x,y) * z)) / (x * z) = L(K(y \ x,y),z,x). [para(8046(a,1),9800(a,1,1)),flip(a)]. given #9035 (H,wt=22): 9965 L(K(x \ y,x),z,y) * (y * z) = y * (K(x \ y,x) * z). [para(9964(a,1),16(a,1,1))]. given #9036 (H,wt=26): 9820 T(x / y,T((y * z) \ x,y)) != u | T(x / y,T(z \ (y \ x),y)) = u. [para(7852(a,1),7373(a,1))]. given #9037 (H,wt=26): 9823 x * (T(y,K(z,u)) / w) != y / w | K((T(y,u) / w) / (y / w),z) = x. [para(9821(a,1),5270(a,1,2))]. given #9038 (H,wt=26): 9867 ((x * K(y,z)) * K(y,u)) * K(z,y) != w * v5 | w \ (x * K(y,u)) = v5. [para(9862(a,2),545(a,1))]. given #9039 (H,wt=26): 9940 K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),T(u,x * (y * z))). [para(3696(a,2),8125(a,1,1))]. given #9040 (H,wt=26): 9952 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(z,K(u,a(x,z,T(y,z)))). [hyper(236,a,7920,a(flip),b,9169,a)]. given #9041 (H,wt=26): 9963 R(K(x,T(T(y,z),z * u)),z,u) = ((z * u) \ ((z * K(y,x)) * u)) \ 1. [para(7448(a,1),9797(a,1,1))]. given #9042 (H,wt=25): 9971 ((x * y) \ ((x * K(z,u)) * y)) \ 1 = (x * y) \ ((x * K(u,z)) * y). [hyper(236,a,9721,a(flip),b,9963,a(flip))]. given #9043 (H,wt=25): 9972 K(((x / y) * z) \ (x * z),u) \ 1 = (x * z) \ ((x * K(u,y)) * z). [para(9863(a,2),9971(a,1,1))]. given #9044 (H,wt=26): 9970 K(x,K(y,(z * (u * x)) \ ((z * x) * u))) = K(x,K(y,a(z,x,T(u,x)))). [hyper(7960,a,9952,a)]. given #9045 (H,wt=26): 9973 (x * y) \ ((x * K(z,u)) * y) != w | K(z,((x / u) * y) \ (x * y)) = w. [para(9972(a,1),5116(a,1))]. given #9046 (H,wt=27): 7188 T((1 / ((x * y) \ x)) * K(y,z),y) = ((1 / ((x * y) \ x)) / y) * T(y,z). [para(5339(a,1),7153(a,1,1,1)),flip(a)]. given #9047 (H,wt=27): 7193 (K(x,y) * (z * x)) \ (K(x,y) * z) != u | L(x \ 1,x,K(x,y) * z) = u. [para(7189(a,1),383(a,1,1))]. given #9048 (H,wt=17): 9974 L(x \ 1,x,K(x,y) * z) = L(x \ 1,x,z). [hyper(7193,a,9664,a)]. given #9049 (H,wt=17): 9975 L(x \ 1,x,y * K(x,z)) = L(x \ 1,x,y). [para(8047(a,1),9974(a,1,3))]. given #9050 (H,wt=15): 9976 L(x \ 1,T(x,y),z) = L(x \ 1,x,z). [hyper(6554,a,9975,a)]. given #9051 (H,wt=22): 9978 T(x * L(x \ 1,x,y),z) = T(x,z) * ((y * T(x,z)) \ y). [para(9976(a,1),2094(a,1,1,2))]. given #9052 (H,wt=19): 9981 T(x,y) * ((z * T(x,y)) \ z) = x * ((z * x) \ z). [hyper(236,a,7043,a(flip),b,9978,a(flip))]. given #9053 (H,wt=21): 9985 (x * ((y * x) \ y)) \ T(x,z) = 1 / ((y * T(x,z)) \ y). [para(9981(a,1),1851(a,1,1))]. given #9054 (H,wt=27): 7294 K(x,T(y,z)) \ T(u / (u / K(x,y)),z) = K(K(x,y) \ u,T(K(x,y),z)). [para(7256(a,2),5812(a,1,1))]. given #9055 (H,wt=27): 7300 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(7256(a,2),6909(a,1,1))]. given #9056 (H,wt=27): 7564 (x * K(y,z)) * (K(z,y) * u) != x * w | L(u,K(z,y),x * K(y,z)) = w. [para(7540(a,1),436(a,1,1)),flip(a)]. given #9057 (H,wt=27): 7634 (x * K(y,z / (z / u))) * K(u,u \ z) = (x / T(z / (z / u),y)) * u. [para(7557(a,1),6444(a,1,1)),flip(a)]. given #9058 (H,wt=25): 9988 (x * K(y,T(z,u))) * K(z,z \ u) = (x / T(u / (u / z),y)) * z. [para(8124(a,1),7634(a,1,1,2))]. given #9059 (H,wt=25): 9989 x * (K(y,y \ z) * K(u,T(y,z))) = (x / T(z / (z / y),u)) * y. [hyper(236,a,9897,a(flip),b,9988,a(flip)),flip(a)]. given #9060 (H,wt=23): 9990 (x / T(y / (y / z),u)) * z = x * (T(y / (y / z),u) \ z). [para(8162(a,1),9989(a,1,2)),flip(a)]. given #9061 (H,wt=21): 9991 (x / T(1 / (1 / y),z)) * y = x * (y * (1 / T(y,z))). [para(6671(a,1),9990(a,2,2))]. given #9062 (H,wt=27): 7640 (x * (y * K(z,u))) \ (x * (y * u)) != w | L(T(u,z),y * K(z,u),x) = w. [para(7568(a,1),447(a,1,2,2))]. given #9063 (H,wt=27): 7654 T((x / T(y,z)) * y,x / T(y,z)) = T(x * K(z,y),T(x / T(y,z),y)). [para(7612(a,1),3899(a,1,1)),flip(a)]. given #9064 (H,wt=27): 7847 R(x * K(R(y \ 1,z,u) \ 1,x),w,x) = R(x,w,x) * R(K(y,x),z,u). [para(5903(a,1),7240(a,2,2))]. given #9065 (H,wt=23): 9992 R(x * R(K(y,x),z,u),w,x) = R(x,w,x) * R(K(y,x),z,u). [para(5903(a,1),7847(a,1,1,2))]. given #9066 (H,wt=23): 9993 R(x * R(K(y,x),z,u),w,x) \ R(x,w,x) = R(K(x,y),z,u). [para(9992(a,2),8591(a,1,1))]. given #9067 (H,wt=27): 7848 L(K(x,T(y,z \ u)),z \ u,z) != w | u \ (z * (K(x,y) * (z \ u))) = w. [para(7279(a,2),757(a,1))]. given #9068 (H,wt=27): 7869 K(((x \ y) \ 1) * z,T(y \ x,u)) = K(z * ((x \ y) \ 1),T(y \ x,u)). [para(6370(a,1),7683(a,1,1)),flip(a)]. given #9069 (H,wt=27): 8209 R(T(x,K(y,z)),K(y,z),u) != w | ((K(y,z) * x) * u) / (K(y,z) * u) = w. [para(7999(a,1),797(a,1,1))]. given #9070 (H,wt=27): 8234 K(x,(y * (z \ (y \ u))) \ u) * u = u * (u / (y * (K(z,x) * (y \ u)))). [para(6027(a,1),8112(a,2,2))]. given #9071 (H,wt=27): 8236 K(x / y,z) * K(K(y \ x,z) * x,x) = x \ T(x * K(x / y,z),x). [para(8113(a,2),7608(a,2,2,1)),flip(a)]. given #9072 (H,wt=27): 8384 L(x,y,x) * K(x,R(z \ 1,u,w) \ 1) = L(x * R(K(x,z),u,w),y,x). [para(6800(a,1),8353(a,2,1))]. given #9073 (H,wt=23): 9995 L(x * R(K(x,y),z,u),w,x) = L(x,w,x) * R(K(x,y),z,u). [para(6797(a,1),8384(a,1,2)),flip(a)]. given #9074 (H,wt=23): 9996 L(x * R(K(x,y),z,u),w,x) = R(K(x,y),z,u) * L(x,w,x). [hyper(3274,a,9995,a(flip)),flip(a)]. given #9075 (H,wt=27): 8454 K(T(x * K(y,x),z) / z,u) = K(((y * x) / y) / T(z,(y * x) / y),u). [para(5496(a,1),8453(a,1,1,1))]. given #9076 (H,wt=25): 9997 K(T(x * K(y,x),z) / z,u) = K(((y * x) / y) / T(z,T(x,y)),u). [para(8152(a,1),8454(a,2,1,2))]. given #9077 (H,wt=27): 8587 x * (K(x / y,z) * K(x * K(y \ x,z),x)) = T(x * K(x / y,z),x). [para(7491(a,1),7721(a,1,2,2))]. given #9078 (H,wt=27): 8632 R(K(x,T(y,z)),u,w) * (z * K(y,v5)) = (z * K(y,v5)) * R(K(x,y),u,w). [para(7572(a,1),8049(a,1,1,1,2))]. given #9079 (H,wt=27): 8717 K(x * K(y,x),T(z / (x * K(y,x)),u)) = K(x * K(y,x),T(z / x,u)). [para(4853(a,1),8716(a,1,2,1,2)),flip(a)]. given #9080 (H,wt=27): 8736 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(L(u,z,y),y * z,x),y). [para(440(a,1),8706(a,2,1))]. given #9081 (H,wt=24): 10000 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(u,y * z,x),y). [hyper(236,a,8323,a(flip),b,8736,a)]. given #9082 (H,wt=27): 8810 (x * (K(y,z) * u)) * L(K(z,T(y,u)),u,x) != w * v5 | (x * u) / v5 = w. [para(8806(a,1),529(a,1,2))]. given #9083 (H,wt=27): 8814 (x * (y * (z * T(z \ (y \ (x \ u)),w)))) \ u = K(w,(x * (y * z)) \ u). [para(857(a,1),7714(a,1,1,2))]. given #9084 (H,wt=25): 10002 (x * (y * ((z \ (y \ (x \ u))) * z))) \ u = K(z,(x * (y * z)) \ u). [para(119(a,1),8814(a,1,1,2,2))]. given #9085 (H,wt=25): 10003 ((x * y) * ((z \ ((x * y) \ u)) * z)) \ u = K(z,(x * (y * z)) \ u). [para(4784(a,2),10002(a,1,1))]. given #9086 (H,wt=19): 10004 K(x,(y * (z * x)) \ u) = K(x,(y * z) \ (x \ u)). [hyper(8670,a,10003,a),flip(a)]. given #9087 (H,wt=19): 10006 K(x,(y * (z / x)) \ (x \ u)) = K(x,(y * z) \ u). [para(16(a,1),10004(a,1,2,1,2)),flip(a)]. given #9088 (H,wt=19): 10008 K(x,(y * (x \ z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(236,a,8823,a(flip),b,10006,a(flip)),flip(a)]. given #9089 (H,wt=19): 10009 K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (x * u)). [para(13(a,1),10008(a,1,2,2))]. given #9090 (H,wt=19): 10010 K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (u * x)). [hyper(236,a,8833,a,b,10009,a)]. given #9091 (H,wt=15): 10015 K(x,(y * x) \ (z * x)) = K(x,y \ z). [para(126(a,1),10010(a,1,2,1)),flip(a)]. given #9092 (H,wt=15): 10017 K(x,(y / x) \ z) = K(x,y \ (z * x)). [para(16(a,1),10015(a,1,2,1)),flip(a)]. given #9093 (H,wt=17): 10014 K(x,(y * (x \ 1)) \ z) = K(x,y \ (z * x)). [para(12(a,1),10010(a,2,2,1))]. given #9094 (H,wt=17): 10018 K(x,(y / x) \ (z \ y)) = K(x,T(z \ x,y)). [hyper(236,a,9792,a(flip),b,10017,a)]. given #9095 (H,wt=19): 10013 K(x,(y * (z / x)) \ u) = K(x,(y * z) \ (u * x)). [hyper(236,a,8823,a,b,10010,a(flip)),flip(a)]. given #9096 (H,wt=20): 10019 L(K(x,(x \ 1) \ y),y,z) = K(x,z \ ((z * y) * x)). [hyper(6622,a,10014,a)]. given #9097 (H,wt=18): 10023 L(K(x,x * y),y,z) = K(x,z \ ((z * y) * x)). [para(8285(a,1),10019(a,1,1))]. given #9098 (H,wt=18): 10025 L(K(x,y * x),y,z) = K(x,z \ ((z * y) * x)). [para(6605(a,2),10023(a,1,1))]. given #9099 (H,wt=20): 10024 L(K(x,x * (y \ z)),y \ z,y) = K(x,y \ (z * x)). [para(14(a,1),10023(a,2,2,2,1))]. given #9100 (H,wt=21): 10020 K(x \ y,T(z \ (x \ y),y)) = K(x \ y,x \ (z \ y)). [para(62(a,1),10018(a,1,2,1)),flip(a)]. given #9101 (H,wt=19): 10027 K(x / y,z \ (y \ x)) = K(y \ x,y \ (z \ x)). [hyper(8171,a,10020,a)]. given #9102 (H,wt=19): 10028 K(x \ y,(z * x) \ y) = K(x \ y,x \ (z \ y)). [hyper(236,a,8878,a(flip),b,10027,a(flip)),flip(a)]. given #9103 (H,wt=22): 10005 K(x,(y * (z * x)) \ u) != w | K(x,(y * z) \ (x \ u)) = w. [para(10003(a,1),8670(a,1))]. given #9104 (H,wt=23): 10007 (x * K(y,(z * u) \ (y \ w))) \ x = K((z * (u * y)) \ w,y). [para(10004(a,1),7549(a,1,1,2))]. given #9105 (H,wt=22): 10030 K((x * (y * z)) \ u,z) != w | K((x * y) \ (z \ u),z) = w. [para(10007(a,1),7560(a,1))]. given #9106 (H,wt=19): 10031 K((x * (y * z)) \ u,y) = K((x * z) \ (y \ u),y). [hyper(10030,a,8688,a),flip(a)]. given #9107 (H,wt=21): 10034 K((x * y) \ ((1 / y) \ z),1 / y) = K(x \ z,1 / y). [para(64(a,1),10031(a,1,1,1)),flip(a)]. given #9108 (H,wt=22): 10032 K((x * (y * z)) \ u,y) != w | K((x * z) \ (y \ u),y) = w. [para(8688(a,1),10030(a,1))]. given #9109 (H,wt=23): 10026 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(L(x,y,z),y * x). [para(212(a,1),10025(a,2,2))]. given #9110 (H,wt=20): 10037 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(x,x * y). [hyper(236,a,7767,a(flip),b,10026,a)]. given #9111 (H,wt=23): 10035 1 / (x \ K((y * z) \ (x \ u),x)) = T(x,(y * (x * z)) \ u). [para(10031(a,1),5013(a,2,2,2)),flip(a)]. given #9112 (H,wt=19): 10039 T(x,(y * (x * z)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(5014,a,10035,a),flip(a)]. given #9113 (H,wt=19): 10040 T(x,(y * (z * x)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(236,a,8853,a,b,10039,a(flip)),flip(a)]. given #9114 (H,wt=24): 10012 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * y) \ (u * x)). [hyper(236,a,8846,a,b,10010,a(flip)),flip(a)]. given #9115 (H,wt=24): 10033 K((x * y) \ (z \ (x * ((y * u) * z))),z) = K(L(u,z * y,x),z). [hyper(236,a,10000,a(flip),b,10031,a(flip))]. given #9116 (H,wt=25): 10011 (x / y) \ (x * K(y,(z * u) \ (y * w))) = T(y,(z * (y \ u)) \ w). [para(10009(a,1),6221(a,1,2,2))]. given #9117 (H,wt=19): 10042 T(x,(y * (x \ z)) \ u) = T(x,(y * z) \ (x * u)). [hyper(6227,a,10011,a),flip(a)]. given #9118 (H,wt=17): 10043 T(x,(y * (x \ 1)) \ z) = T(x,y \ (x * z)). [para(12(a,1),10042(a,2,2,1))]. given #9119 (H,wt=25): 10016 (x \ 1) / (x \ K(x,(y * z) \ (u * x))) = K((y * (z / x)) \ u,x). [para(10010(a,1),8877(a,1,2,2))]. given #9120 (H,wt=19): 10044 K((x * (y / z)) \ u,z) = K((x * y) \ (u * z),z). [hyper(5376,a,10016,a),flip(a)]. given #9121 (H,wt=19): 10045 K((x * (y \ z)) \ u,y) = K((x * z) \ (u * y),y). [hyper(9852,a,10044,a)]. given #9122 (H,wt=17): 10047 K((x * (y \ 1)) \ z,y) = K(x \ (z * y),y). [para(12(a,1),10045(a,2,1,1))]. given #9123 (H,wt=20): 10048 L(K(x * (y \ z),x),y \ z,y) = K(y \ (z * x),x). [hyper(236,a,7726,a,b,10047,a(flip)),flip(a)]. given #9124 (H,wt=22): 10046 K((x * y) \ (z * u),u) != w | K((x * (u \ y)) \ z,u) = w. [para(10044(a,1),9852(a,1))]. given #9125 (H,wt=27): 8889 x \ (((y \ x) * y) * L(T(y,z),u,w)) = K(y \ x,y) * L(T(y,z),u,w). [para(8888(a,1),498(a,1,1))]. given #9126 (H,wt=27): 9002 (x * T(y,L(z * K(y,z),y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(4853(a,1),8884(a,2,1))]. given #9127 (H,wt=23): 10050 (x * T(y,L(z,y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(4946(a,1),9002(a,1,1,2))]. given #9128 (H,wt=21): 10051 (x * T(y,L(z,y,x))) \ (x * (T(y,z) * z)) = L(z,y,x). [para(4924(a,1),10050(a,1,2,2))]. given #9129 (H,wt=27): 9028 T(K(x,y),z) * T(K(y,u),K(x,y) * z) = z \ (K(y,u) * (K(x,y) * z)). [para(9026(a,1),870(a,1,1)),flip(a)]. given #9130 (H,wt=23): 10052 x \ (K(y,z) * (K(u,y) * x)) = T(K(u,y),x) * T(K(y,z),x). [para(7805(a,1),9028(a,1,2)),flip(a)]. given #9131 (H,wt=27): 9068 (x * y) \ (y * (T(z * T(x,y),z) / z)) = L(a(z,T(x,y),z),T(x,y),y). [para(9047(a,2),177(a,1,2,2))]. given #9132 (H,wt=27): 9103 K(x,K(y,z \ 1)) \ (K(z \ 1,x) * (z \ K(z,y))) = T(z \ K(z,y),x). [para(8932(a,1),7636(a,1,1))]. given #9133 (H,wt=27): 9120 ((x * y) * a(T(y,x),z,T(y,x))) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(890(a,1),9116(a,1,2))]. given #9134 (H,wt=27): 9130 ((x * y) / x) / ((x * (y * K(z / u,y))) / x) = K(y,T((u / z) \ 1,x)). [para(5699(a,1),9124(a,1,2,1,2,2))]. given #9135 (H,wt=17): 10056 K(x,T((y / z) \ 1,u)) = K(x,T(z / y,u)). [hyper(9125,a,9130,a),flip(a)]. given #9136 (H,wt=17): 10058 K(x,T((y \ z) / z,u)) = K(x,T(y \ 1,u)). [para(62(a,1),10056(a,1,2,1,1)),flip(a)]. given #9137 (H,wt=20): 10057 K(x,T((y / z) \ 1,u)) != w | K(x,T(z / y,u)) = w. [para(9130(a,1),9125(a,1))]. given #9138 (H,wt=27): 9131 K(x,T((y \ z) / z,u)) = ((u * x) / u) / ((u * (x * K(y \ 1,x))) / u). [para(5706(a,1),9124(a,1,2,1,2,2)),flip(a)]. given #9139 (H,wt=27): 9281 K(1 / ((1 / x) / y),K(z,(y * x) / u)) = (T(y * x,K(z,u)) / x) / y. [para(9280(a,1),5715(a,2,1,1))]. given #9140 (H,wt=25): 10059 K(x,K((1 / y) / z,(z * y) / u)) = (T(z * y,K(x,u)) / y) / z. [hyper(9277,a,9281,a)]. given #9141 (H,wt=23): 10060 K(x,K((1 / y) / z,(z * y) / u)) = K(x,K(u,(1 / y) / z)). [hyper(236,a,9276,a(flip),b,10059,a)]. given #9142 (H,wt=27): 9656 K(T(x / (1 / (1 / y)),1 / z) / (1 / y),z) = K((x / y) / (y \ 1),z). [para(2883(a,1),9649(a,2,1))]. given #9143 (H,wt=23): 10062 K((x / y) / (y \ 1),1 / y) = K((y \ x) / (y \ 1),1 / y). [para(3051(a,1),9656(a,1,1)),flip(a)]. given #9144 (H,wt=23): 10063 K((x / y) / (y \ 1),1 / y) = K((y \ x) / (1 / y),1 / y). [hyper(236,a,5429,a,b,10062,a)]. given #9145 (H,wt=23): 10064 K((x / y) / (1 / y),1 / y) = K((y \ x) / (1 / y),1 / y). [hyper(5632,a,10063,a)]. given #9146 (H,wt=27): 9704 T(T(x,K(y,x)),z * x) * ((T(x,x * z) * K(y,x)) \ u) = K(x,y) * u. [para(4261(a,1),9680(a,1,1))]. given #9147 (H,wt=23): 10066 T(x,y * x) * ((T(x,x * y) * K(z,x)) \ u) = K(x,z) * u. [para(3137(a,1),9704(a,1,1,1))]. given #9148 (H,wt=18): 10067 T(x,y * x) * (L(x,y,x) \ z) = K(x,y) * z. [para(5395(a,1),10066(a,1,2,1))]. given #9149 (H,wt=18): 10068 T(x,x * y) * (L(x,y,x) \ z) = K(x,y) * z. [para(4255(a,1),10067(a,1,1))]. given #9150 (H,wt=27): 9770 K(T(x \ y,x) \ z,T(z,T(y \ x,x))) = K((T(x,x \ y) \ y) \ z,z). [para(9768(a,1),6526(a,1,2))]. given #9151 (H,wt=25): 10069 K(T(x \ y,x) \ z,T(z,T(y \ x,x))) = K(T(x \ y,x) \ z,z). [para(4109(a,1),9770(a,2,1,1))]. given #9152 (H,wt=23): 10070 K(T(x \ y,x) \ z,T(z,x / y)) = K(T(x \ y,x) \ z,z). [para(8364(a,1),10069(a,1,2))]. given #9153 (H,wt=23): 10071 K(T(x \ y,x) \ z,T(z,x / y)) = K((x \ y) \ z,T(z,x)). [hyper(236,a,8701,a(flip),b,10070,a)]. given #9154 (H,wt=23): 10072 K((x \ y) \ z,T(T(z,x / y),x)) = K((x \ y) \ z,T(z,x)). [hyper(236,a,9126,a(flip),b,10071,a(flip)),flip(a)]. given #9155 (H,wt=23): 10073 K((x \ y) \ z,T(T(z,x),x / y)) = K((x \ y) \ z,T(z,x)). [para(38(a,1),10072(a,1,2))]. given #9156 (H,wt=27): 9833 K(((x \ y) \ 1) * z,T((x \ y) \ 1,u)) = K((x \ y) \ z,T(y \ x,u)). [hyper(236,a,9464,a(flip),b,9831,a)]. given #9157 (H,wt=25): 10074 K(((x \ y) \ 1) * z,T(y \ x,u)) = K((x \ y) \ z,T(y \ x,u)). [hyper(9465,a,9833,a)]. given #9158 (H,wt=25): 10075 K(x * ((y \ z) \ 1),T(z \ y,u)) = K((y \ z) \ x,T(z \ y,u)). [hyper(236,a,7869,a(flip),b,10074,a(flip)),flip(a)]. given #9159 (H,wt=23): 10076 K(x * ((y \ z) \ 1),T(z \ y,z)) = K((y \ z) \ x,y / z). [hyper(236,a,8069,a(flip),b,10075,a)]. given #9160 (H,wt=21): 10077 K(x * ((y \ z) \ 1),y / z) = K((y \ z) \ x,y / z). [hyper(8187,a,10076,a)]. given #9161 (H,wt=21): 10078 K(((x \ y) \ 1) * z,x / y) = K((x \ y) \ z,x / y). [hyper(236,a,8625,a,b,10077,a(flip)),flip(a)]. given #9162 (H,wt=27): 9850 T(T(x,x * y) * R(x \ (x * y),z,u),x) = T(x * R(y,z,u),x * y). [hyper(236,a,4148,a(flip),b,8743,a)]. given #9163 (H,wt=23): 10079 T(T(x,x * y) * R(y,z,u),x) = T(x * R(y,z,u),x * y). [para(13(a,1),9850(a,1,1,2,1))]. given #9164 (H,wt=27): 9930 L(K(x,K(y,z) * (u \ w)),u \ w,u) != v5 | K(x,(u * K(z,y)) \ w) = v5. [para(5260(a,1),9929(a,1,1,2))]. given #9165 (H,wt=27): 9934 ((x / (1 / y)) * (1 / T(y,z))) \ (x / (1 / y)) = T(x \ (x / (1 / y)),z). [para(16(a,1),9932(a,2,1,1))]. given #9166 (H,wt=21): 10080 (x * K(y,z)) \ (x / (1 / z)) = T(x \ (x / (1 / z)),y). [para(7025(a,1),9934(a,1,1))]. given #9167 (H,wt=25): 10081 (x \ 1) * T(y \ (y / (1 / x)),x \ 1) = x \ (y \ (y / (1 / x))). [para(10080(a,1),6904(a,1,2))]. given #9168 (H,wt=21): 10082 (x \ 1) * (y \ (y / (x \ 1))) = x \ (y \ (y / (1 / x))). [para(3023(a,1),10081(a,1,2))]. given #9169 (H,wt=27): 9987 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(7256(a,2),7300(a,1,2,1))]. given #9170 (H,wt=27): 9994 K(x / y,z) * K(K(y \ x,z) * x,x) = K(T(x / (x / y),x) \ x,z). [hyper(236,a,6541,a,b,8236,a)]. given #9171 (H,wt=23): 10084 K(x / y,z) * K(K(y \ x,z) * x,x) = K(x / T(y,x),z). [para(4362(a,1),9994(a,2,1))]. given #9172 (H,wt=23): 10085 K(x / y,z) * K(x * K(y \ x,z),x) = K(x / T(y,x),z). [para(5559(a,1),10084(a,1,2))]. given #9173 (H,wt=19): 10086 T(x * K(x / y,z),x) = x * K(x / T(y,x),z). [para(10085(a,1),8587(a,1,2)),flip(a)]. given #9174 (H,wt=19): 10087 T(x * K(x / y,z),x) = x * K(T(x,y) / y,z). [para(4115(a,2),10086(a,2,2,1))]. given #9175 (H,wt=27): 9998 R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * (R(K(x,y),u,w) * K(y,x)). [hyper(236,a,9855,a(flip),b,8632,a)]. given #9176 (H,wt=27): 10029 K(((x \ y) / z) \ y,(x * ((x \ y) / z)) \ y) = K(((x \ y) / z) \ y,z). [para(65(a,1),10028(a,2,2))]. given #9177 (H,wt=27): 10036 K((x * (y \ z)) \ ((1 / (y \ z)) \ u),1 / (y \ z)) = K(x \ u,z \ y). [hyper(236,a,6411,a(flip),b,10034,a)]. given #9178 (H,wt=27): 10049 K(x \ y,x) * L(T(x,x \ y),z,u) = y \ ((L(x,z,u) * (x \ y)) * x). [para(1118(a,1),8889(a,1,2)),flip(a)]. given #9179 (H,wt=27): 10054 (x * y) \ (y * T(T(z * x,z) / z,y)) = L(a(z,T(x,y),z),T(x,y),y). [para(1416(a,1),9068(a,1,2,2))]. given #9180 (H,wt=25): 10090 L(a(x,T(y,z),x),T(y,z),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(119(a,1),10054(a,1,2)),flip(a)]. given #9181 (H,wt=27): 10055 K(x,K(y,z \ 1)) \ (K(z \ 1,y) * (z \ K(z,x))) = T(z \ K(z,x),y). [para(7919(a,1),9103(a,1,1))]. given #9182 (H,wt=25): 10091 K(x,K(y,z \ 1)) \ (K(z,x) * T(z \ 1,y)) = T(z \ K(z,x),y). [para(5913(a,1),10055(a,1,2))]. given #9183 (H,wt=25): 10092 K(K(x,y \ 1),z) * (K(y,z) * T(y \ 1,x)) = T(y \ K(y,z),x). [hyper(5286,a,10091,a)]. given #9184 (H,wt=25): 10093 K(x,K(y \ 1,z)) * (K(y,z) * T(y \ 1,x)) = T(y \ K(y,z),x). [para(7886(a,1),10092(a,1,1))]. given #9185 (H,wt=23): 10094 K(x,K(y,z)) * (K(z,x) * T(z \ 1,y)) = T(z \ K(z,x),y). [para(9253(a,1),10093(a,1,1))]. given #9186 (H,wt=19): 10095 K(x,T(y,z)) * T(x \ 1,z) = T(x \ K(x,y),z). [hyper(9158,a,10094,a)]. given #9187 (H,wt=27): 10065 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K((y \ x) / (1 / y),1 / y). [para(10064(a,1),5026(a,2,2))]. given #9188 (H,wt=25): 10096 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K((y \ x) * y,1 / y). [para(6017(a,1),10065(a,2,2))]. given #9189 (H,wt=21): 10097 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K(x,1 / y). [para(8589(a,1),10096(a,2,2))]. given #9190 (H,wt=19): 10098 (x / y) / ((x / y) / (1 / y)) = K(x,1 / y) / y. [hyper(236,a,2325,a(flip),b,10097,a)]. given #9191 (H,wt=25): 10099 x / ((y / (x \ y)) / (1 / (x \ y))) = K(y,1 / (x \ y)) / (x \ y). [para(62(a,1),10098(a,1,1))]. given #9192 (H,wt=21): 10100 K(x,1 / (y \ x)) / (y \ x) = y / (y / (1 / (y \ x))). [para(62(a,1),10099(a,1,2,1)),flip(a)]. given #9193 (H,wt=19): 10101 K(x,y / x) / (y \ x) = y / (y / (1 / (y \ x))). [para(5371(a,1),10100(a,1,1))]. given #9194 (H,wt=27): 10089 T(K(x \ y,x) * L(x,z,u),x \ y) = y \ ((L(x,z,u) * (x \ y)) * x). [hyper(8776,a,10049,a)]. given #9195 (H,wt=25): 10103 (x / y) \ (L(y,z,u) * (y \ x)) = x \ ((L(y,z,u) * (y \ x)) * y). [hyper(236,a,7179,a(flip),b,10089,a(flip)),flip(a)]. given #9196 (H,wt=28): 7358 x / L(K(y,T(z,u)),u,x / (K(y,z) * u)) = (x / (u * K(y,T(z,u)))) * u. [para(7281(a,1),315(a,1,2,3,2))]. given #9197 (H,wt=28): 7566 L(x * K(y,z),K(z,y),u) * K(z,y) = K(z,y) * ((u * K(z,y)) \ (u * x)). [para(7540(a,1),695(a,1,2,2,2)),flip(a)]. given #9198 (H,wt=28): 7631 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ (x * K(y,z)),z). [para(7557(a,1),4215(a,1,1,2))]. given #9199 (H,wt=28): 7686 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(7496(a,1),5495(a,1,1,2))]. given #9200 (H,wt=24): 10106 T(x * K(y * R(x,z,u),x),y) = R(x,T(y,T(x,w)),R(x,z,u)). [hyper(236,a,7527,a(flip),b,7686,a(flip)),flip(a)]. given #9201 (H,wt=19): 10108 R(x,T(y,T(x,z)),R(x,u,w)) = R(x,y,R(x,u,w)). [hyper(236,a,5495,a(flip),b,10106,a(flip))]. given #9202 (H,wt=25): 10109 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(8147(a,1),10108(a,1,2))]. given #9203 (H,wt=28): 7779 K(L(x,y,z),u * (K(x,w) * v5)) = L(x,y,z) / L(x * K(u * v5,x),y,z). [para(7717(a,1),5668(a,1,2,1,2)),flip(a)]. given #9204 (H,wt=21): 10110 K(L(x,y,z),u * (K(x,w) * v5)) = K(L(x,y,z),u * v5). [hyper(236,a,5668,a(flip),b,7779,a)]. given #9205 (H,wt=28): 7780 K(x * (K(y,z) * u),R(y,w,v5)) = R(y,w,v5) \ R(y * K(x * u,y),w,v5). [para(7717(a,1),5669(a,1,2,1,2)),flip(a)]. given #9206 (H,wt=21): 10111 K(x * (K(y,z) * u),R(y,w,v5)) = K(x * u,R(y,w,v5)). [hyper(236,a,5669,a(flip),b,7780,a)]. given #9207 (H,wt=17): 10112 K(x * y,R(y,z,u)) = K(y * x,R(y,z,u)). [para(4971(a,1),10111(a,1,1)),flip(a)]. given #9208 (H,wt=28): 7929 (x * K(y,z)) \ K(y,K(x * K(y,z),z)) = (L(K(y,z),x,K(y,z)) * x) \ 1. [para(7919(a,1),5313(a,1,2))]. given #9209 (H,wt=28): 8231 (x * y) * K(z,(x * (u * y)) / (x * y)) = K(z,L(T(u,y),y,x)) * (x * y). [para(178(a,1),8107(a,1,1,2)),flip(a)]. given #9210 (H,wt=28): 8381 L(x * K(y \ (x * z),x),u,w) / L(x,u,w) = K((x \ y) \ z,L(x,u,w)). [para(8320(a,1),5666(a,1,1,1,2))]. given #9211 (H,wt=21): 10113 K((x \ y) \ z,L(x,u,w)) = K(y \ (x * z),L(x,u,w)). [hyper(5966,a,8381,a),flip(a)]. given #9212 (H,wt=24): 10114 K((x \ y) \ z,L(x,u,w)) != v5 | K(y \ (x * z),L(x,u,w)) = v5. [para(8381(a,1),5966(a,1))]. given #9213 (H,wt=28): 8390 L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K((y * x) \ z,L(x,u,w)). [para(8378(a,1),5666(a,1,1,1,2))]. given #9214 (H,wt=21): 10115 K((x * y) \ z,L(y,u,w)) = K(x \ (y \ z),L(y,u,w)). [hyper(5966,a,8390,a),flip(a)]. given #9215 (H,wt=24): 10116 K(L(x \ y,x,z),L(x,u,w)) = K(z \ (x \ (z * y)),L(x,u,w)). [para(105(a,2),10115(a,1,1))]. given #9216 (H,wt=28): 8466 R(x,K(y,z),T(K(z,y) * u,K(y,w))) * u = (x * K(y,z)) * (K(y,z) \ u). [para(8214(a,2),5280(a,1,1))]. given #9217 (H,wt=24): 10117 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(y,z) \ u). [para(7988(a,1),8466(a,1,1,3))]. given #9218 (H,wt=24): 10118 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(z,y) * u). [para(5260(a,1),10117(a,2,2))]. given #9219 (H,wt=28): 8740 T(x * L(x \ (T(x,y) * y),z,u),x) = x * L(x \ (R(x,y,x) * y),z,u). [para(8738(a,1),1683(a,2,2,1,2))]. given #9220 (H,wt=28): 8811 L(T(K(x,T(y,z)),u * (K(y,x) * z)),z,u) = (u * z) / (u * (K(y,x) * z)). [hyper(74,a,8809,a(flip),b,8095,a),flip(a)]. given #9221 (H,wt=28): 9077 (x * K(y,y * z)) \ (x * K(y,z)) != u | L(a(y,z,y),K(y,y * z),x) = u. [para(9054(a,1),447(a,1,2,2))]. given #9222 (H,wt=21): 10120 L(a(x,y,x),K(x,x * y),z) = K(x,y) * K(x * y,x). [hyper(9077,a,9883,a)]. given #9223 (H,wt=16): 10121 L(a(x,y,x),K(x,x * y),z) = a(x,y,x). [hyper(236,a,9040,a(flip),b,10120,a)]. given #9224 (H,wt=25): 10122 (x / (K(y,y * z) * a(y,z,y))) * K(y,y * z) = x / a(y,z,y). [para(10121(a,1),315(a,1,2)),flip(a)]. given #9225 (H,wt=28): 9123 (T(x * K(y \ x,z),x) / x) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(8113(a,1),9121(a,1,2))]. given #9226 (H,wt=28): 9155 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) != w * v5 | L(y,z,u) / v5 = w. [para(4744(a,2),8520(a,1,2))]. given #9227 (H,wt=28): 9372 K(x,K(a(y,z,u),y * (z * u))) != w | K(x,K(a(y,z,u),(y * z) * u)) = w. [para(135(a,1),9360(a,1,2,2))]. given #9228 (H,wt=28): 9422 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = K(x,K(w,(y * v5) / (R(y,z,u) * v5))). [para(6862(a,1),9420(a,1,2)),flip(a)]. given #9229 (H,wt=28): 9747 K(x,T(y \ (R(y,z,u) * x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [hyper(236,a,6861,a(flip),b,9738,a)]. given #9230 (H,wt=28): 9764 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u != w | K(z,(x * (y \ z)) \ u) = w. [para(1235(a,1),8523(a,1,1,2))]. given #9231 (H,wt=19): 10126 K(x,(y * (x / z)) \ u) = K(x,(y * (z \ x)) \ u). [hyper(9764,a,9851,a),flip(a)]. given #9232 (H,wt=15): 10127 K(x,(y * (x / y)) \ z) = K(x,x \ z). [para(14(a,1),10126(a,2,2,1))]. given #9233 (H,wt=17): 10129 K(x,x \ (x * y)) = K(x,K(z \ x,z) * y). [hyper(8348,a,10127,a),flip(a)]. given #9234 (H,wt=13): 10130 K(x,K(y \ x,y) * z) = K(x,z). [para(13(a,1),10129(a,1,2)),flip(a)]. given #9235 (H,wt=13): 10132 K(x,K(y,y \ x) * z) = K(x,z). [para(5268(a,1),10130(a,1,2)),flip(a)]. given #9236 (H,wt=15): 10131 K(x * y,K(y,x) * z) = K(x * y,z). [para(13(a,1),10130(a,1,2,1,1))]. given #9237 (H,wt=15): 10133 K(x,((y \ x) \ x) \ z) = K(x,y \ z). [para(5365(a,2),10130(a,1,2))]. given #9238 (H,wt=15): 10134 K(x,(x / y) * z) = K(x,(y \ x) * z). [para(5546(a,1),10130(a,1,2)),flip(a)]. given #9239 (H,wt=19): 10128 K(x,(y * ((z \ x) \ x)) \ u) = K(x,(y * z) \ u). [para(62(a,1),10126(a,1,2,1,2)),flip(a)]. given #9240 (H,wt=19): 10137 K(x,((y / T(z,z \ x)) * z) \ u) = K(x,y \ u). [para(313(a,1),10128(a,1,2,1)),flip(a)]. given #9241 (H,wt=17): 10138 K(x,(y * K(z \ x,z)) \ u) = K(x,y \ u). [para(7612(a,1),10137(a,1,2,1))]. given #9242 (H,wt=17): 10139 K(x,(K(y \ x,y) * z) \ x) = K(x,z \ x). [hyper(236,a,8870,a,b,10138,a(flip)),flip(a)]. given #9243 (H,wt=17): 10141 K(x,y \ (K(z,z \ x) * x)) = K(x,y \ x). [hyper(236,a,6604,a(flip),b,10139,a(flip)),flip(a)]. given #9244 (H,wt=15): 10142 K(x,y \ (z * (x / z))) = K(x,y \ x). [para(4909(a,1),10141(a,1,2,2))]. given #9245 (H,wt=19): 10143 K(x * y,z \ (y * x)) = K(x * y,z \ (x * y)). [para(15(a,1),10142(a,1,2,2,2))]. given #9246 (H,wt=21): 10136 T((K(x,y) * z) * K(y * x,z),y * x) = K(x,y) * z. [para(10131(a,1),4853(a,1,1,2))]. given #9247 (H,wt=21): 10144 (K(x,y) * z) * T(y * x,z) = (y * x) * (K(x,y) * z). [para(10136(a,1),6193(a,1,2)),flip(a)]. given #9248 (H,wt=23): 10135 K(x,y) * ((K(z,z \ x) * y) * x) = x * (K(z,z \ x) * y). [para(10132(a,1),4817(a,1,1))]. given #9249 (H,wt=23): 10145 T(x,y) * T(K(z,z \ x) * y,x) = x * (K(z,z \ x) * y). [hyper(5619,a,10135,a)]. given #9250 (H,wt=13): 10146 T(x,K(y,y \ x) * z) = T(x,z). [hyper(4132,a,10145,a)]. given #9251 (H,wt=15): 10147 T(x,(x / y) * z) = T(x,(y \ x) * z). [para(5568(a,1),10146(a,1,2))]. given #9252 (H,wt=15): 10148 T(x,(x / y) \ z) = T(x,(y \ x) \ z). [para(5757(a,1),10146(a,1,2)),flip(a)]. given #9253 (H,wt=28): 9809 T(x * K((K(x,y) * z) * R(x,u,w),x),z) = R(x,K(x,y) * z,R(x,u,w)). [hyper(236,a,5495,a(flip),b,9807,a(flip))]. given #9254 (H,wt=24): 10149 T(x * K(y * R(x,z,u),x),y) = R(x,K(x,w) * y,R(x,z,u)). [para(7506(a,1),9809(a,1,1,2))]. given #9255 (H,wt=19): 10150 R(x,K(x,y) * z,R(x,u,w)) = R(x,z,R(x,u,w)). [hyper(236,a,5495,a(flip),b,10149,a(flip))]. given #9256 (H,wt=28): 9822 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = ((T(y,K(x,z)) / u) * u) / y. [para(9821(a,1),115(a,1,1,1)),flip(a)]. given #9257 (H,wt=24): 10153 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = T(y,K(x,z)) / y. [hyper(236,a,234,a(flip),b,9822,a)]. given #9258 (H,wt=22): 10154 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(y,K(x,z)). [hyper(236,a,4880,a,b,10153,a)]. given #9259 (H,wt=22): 10156 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(x,K(y,z)). [hyper(236,a,7919,a,b,10154,a)]. given #9260 (H,wt=28): 9849 T(x * L(y * K(x,y),z,u),x) != w * L(y,z,u) | R(x,L(y,z,u),x) = w. [para(8739(a,2),20(a,1))]. given #9261 (H,wt=28): 9858 R(T(x / y,K(y,x)),z,x / y) != u * (x / y) | a(x / y,z,x / y) = u. [para(9081(a,2),20(a,1))]. given #9262 (H,wt=28): 9967 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(y \ (y * x),y) * z). [para(13(a,1),9965(a,1,1,1,1))]. given #9263 (H,wt=24): 10157 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(x,y) * z). [para(13(a,1),9967(a,2,2,1,1))]. given #9264 (H,wt=24): 10158 ((x * y) * (K(y,x) * z)) / ((x * y) * z) = L(K(y,x),z,x * y). [hyper(87,a,10157,a)]. given #9265 (H,wt=26): 10159 ((x * y) * (K(y,x) * z)) / (z * T(x * y,z)) = L(K(y,x),z,x * y). [hyper(74,a,10157,a(flip),b,161,a)]. given #9266 (H,wt=28): 9999 K(x * K(y,x),T(z / (x * K(y,x)),u)) != w | K(x,T(T(z / x,u),y)) = w. [para(8717(a,2),8428(a,1))]. given #9267 (H,wt=28): 10021 L(K(x,(y * z) \ ((u \ w) * x)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). [para(10013(a,1),6594(a,1,1))]. given #9268 (H,wt=23): 10163 K(x,(y * (z * (u / x))) \ w) = K(x,(y * (z * u)) \ (w * x)). [hyper(236,a,10012,a(flip),b,10021,a(flip))]. given #9269 (H,wt=28): 10104 K(x,y) * L(K(y,x) * z,K(x,y),u) = K(x,y) * ((u * K(x,y)) \ (u * z)). [hyper(236,a,7542,a(flip),b,7566,a(flip)),flip(a)]. given #9270 (H,wt=28): 10105 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,T(x / T(z,y),z),z). [para(7611(a,1),7631(a,2,2))]. given #9271 (H,wt=26): 10165 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,x / T(z,y),z). [hyper(236,a,4307,a(flip),b,10105,a)]. given #9272 (H,wt=28): 10119 L(K(x,T(T(y,z),u * (K(y,x) * z))),z,u) = (u * z) / (u * (K(y,x) * z)). [para(7256(a,2),8811(a,1,1))]. given #9273 (H,wt=24): 10166 L(K(x,T(T(y,z),u * z)),z,u) = (u * z) / (u * (K(y,x) * z)). [para(8710(a,1),10119(a,1,1))]. given #9274 (H,wt=28): 10123 (x \ T(K(y \ x,z) * x,x)) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(8207(a,1),9123(a,1,1))]. given #9275 (H,wt=28): 10124 K(x,K(R(y,z,u),R(z,w,v5) \ z)) = K(x,K(y,(z * u) / (R(z,w,v5) * u))). [hyper(7971,a,9422,a)]. given #9276 (H,wt=28): 10125 K(x,T(R(y,z,u) * (y \ x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [para(1491(a,1),9747(a,1,2,1))]. given #9277 (H,wt=23): 10170 K(x,T(R(y,z,u) * (y \ x),y)) = K(x,x * (y \ R(y,z,u))). [para(625(a,1),10125(a,1,2,2))]. given #9278 (H,wt=28): 10162 ((K(x,y) * z) * T(y * x,z)) / (z * T(y * x,z)) = L(K(x,y),z,y * x). [para(10144(a,2),10159(a,1,1))]. given #9279 (H,wt=22): 10171 L(K(x,y),z,y * x) != u | R(K(x,y),z,T(y * x,z)) = u. [para(10162(a,1),475(a,1))]. given #9280 (H,wt=28): 10168 (x \ T(x * K(x / y,z),x)) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(8113(a,1),10123(a,1,1,2,1))]. given #9281 (H,wt=29): 7567 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) != w | a(x,y * K(z,u),K(u,z)) = w. [para(7540(a,1),679(a,1,1,2))]. given #9282 (H,wt=21): 10172 a(x,y * K(z,u),K(u,z)) = L(K(z,u),y,x) * K(u,z). [hyper(7567,a,9027,a)]. given #9283 (H,wt=21): 10173 a(x,y * K(z,u),K(u,z)) = K(u,z) * L(K(z,u),y,x). [hyper(236,a,2198,a(flip),b,10172,a)]. given #9284 (H,wt=21): 10174 K(x,y) * L(K(y,x),z * K(x,y),u) = a(u,z,K(x,y)). [para(7540(a,1),10173(a,1,2)),flip(a)]. given #9285 (H,wt=10): 10175 T(x,a(y,z,K(x,u))) = x. [para(10174(a,1),7416(a,1,2))]. given #9286 (H,wt=17): 10176 K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)). [para(9810(a,1),10174(a,1,2))]. given #9287 (H,wt=17): 10178 a(x,y,K(z,u)) * L(K(z,u),y,x) = K(z,u). [hyper(8801,a,10176,a)]. given #9288 (H,wt=17): 10179 K(x,y) * a(z,u,K(y,x)) = L(K(x,y),u,z). [hyper(5285,a,10176,a)]. given #9289 (H,wt=10): 10189 a(x,y,K(y \ 1,z)) = 1. [hyper(71,a,7006,a(flip),b,10179,a),flip(a)]. given #9290 (H,wt=10): 10190 a(x,y \ 1,K(y,z)) = 1. [hyper(71,a,6952,a(flip),b,10179,a),flip(a)]. given #9291 (H,wt=12): 10192 L(K(x,y),x \ 1,z) = K(x,y). [hyper(33,a,10190,a)]. given #9292 (H,wt=12): 10195 L(K(x,y),1 / x,z) = K(x,y). [hyper(236,a,7000,a,b,10192,a(flip)),flip(a)]. given #9293 (H,wt=15): 10191 x * a(y,z,K(z \ 1,u)) != w | w = x. [para(10189(a,2),83(a,1,2))]. given #9294 (H,wt=13): 10198 a(x,y,K(y \ 1,z)) != u | 1 = u. [para(11(a,1),10191(a,1)),flip(b)]. given #9295 (H,wt=13): 10199 a(x,y \ 1,K(y,z)) != u | 1 = u. [para(3247(a,1),10198(a,1,3))]. given #9296 (H,wt=15): 10193 x * a(y,z \ 1,K(z,u)) != w | w = x. [para(10190(a,2),83(a,1,2))]. given #9297 (H,wt=17): 10180 L(K(x,y),z,u) * K(y,x) = a(u,z,K(y,x)). [hyper(2196,a,10176,a)]. given #9298 (H,wt=17): 10200 L(K(x,y),z,u) * a(u,z,K(x,y)) = K(x,y). [hyper(6044,a,10180,a)]. given #9299 (H,wt=19): 10182 T(x,y) * L(K(y,x),z,u) = x * a(u,z,K(x,y)). [para(10176(a,1),4856(a,1,2)),flip(a)]. given #9300 (H,wt=19): 10184 K(x,y) * K(L(y,z,u),x) = a(u,z * y,K(x,y)). [para(6579(a,1),10176(a,1,2))]. given #9301 (H,wt=19): 10196 (x * (y \ 1)) * K(y,z) = x * ((y \ 1) * K(y,z)). [para(10192(a,1),103(a,1,2))]. given #9302 (H,wt=17): 10204 (x * (y \ 1)) * K(y,z) = x * (y \ K(y,z)). [para(4033(a,1),10196(a,2,2))]. given #9303 (H,wt=16): 10205 R(x,y,y \ K(y,z)) = (x * y) * (y \ 1). [hyper(18,a,309,a,b,10204,a),flip(a)]. given #9304 (H,wt=15): 10206 R(x,y,y \ K(y,z)) = R(x,y,y \ 1). [hyper(236,a,189,a(flip),b,10205,a)]. given #9305 (H,wt=18): 10207 R(x,y,y \ K(y,z)) != u | R(x,y,y \ 1) = u. [para(10205(a,2),477(a,1))]. given #9306 (H,wt=19): 10201 K(x,L(y,z,u)) * K(y,x) = a(u,z * y,K(y,x)). [para(6584(a,1),10180(a,1,1))]. given #9307 (H,wt=19): 10208 R(x,T(y,z),T(y,z) \ 1) = R(x,T(y,z),y \ 1). [para(4990(a,1),10206(a,1,3)),flip(a)]. given #9308 (H,wt=20): 10181 a(x,y,K(z,u)) != K(z,u) * w | L(K(u,z),y,x) = w. [para(10176(a,1),19(a,1))]. given #9309 (H,wt=20): 10188 a(x,y,K(z,u)) * w != K(z,u) | L(K(z,u),y,x) = w. [para(10178(a,1),19(a,1)),flip(a)]. given #9310 (H,wt=20): 10210 (x * T(y,z)) * (y \ K(z,y)) = R(x,T(y,z),y \ 1). [hyper(236,a,5015,a,b,10208,a(flip)),flip(a)]. given #9311 (H,wt=17): 10212 R(x,T(y,z),y \ 1) = R(x,y,y \ K(y,z)). [hyper(236,a,9784,a(flip),b,10210,a(flip))]. given #9312 (H,wt=15): 10213 R(x,T(y,z),y \ 1) = R(x,y,y \ 1). [hyper(236,a,10206,a(flip),b,10212,a)]. given #9313 (H,wt=17): 10215 R(x,T(y,z),T(y,z) \ 1) = R(x,y,y \ 1). [hyper(236,a,10208,a,b,10213,a(flip)),flip(a)]. given #9314 (H,wt=18): 10218 R(x,y,y \ 1) / (T(y,z) \ 1) = x * T(y,z). [hyper(74,a,10215,a(flip),b,189,a)]. given #9315 (H,wt=19): 10219 a(x,T(y,z),T(y,z) \ 1) = x \ R(x,y,y \ 1). [hyper(72,a,10215,a(flip),b,689,a),flip(a)]. given #9316 (H,wt=17): 10221 a(x,T(y,z),T(y,z) \ 1) = a(x,y,y \ 1). [hyper(236,a,688,a(flip),b,10219,a)]. given #9317 (H,wt=21): 10177 K(x,y) * a(z,u,K(y,w)) = a(z,u,K(y,w)) * K(x,y). [para(10175(a,1),7281(a,1,2,2)),flip(a)]. given #9318 (H,wt=21): 10185 K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(x,y)) * w. [para(10176(a,1),6911(a,1,1)),flip(a)]. given #9319 (H,wt=21): 10186 (x / a(y,z,K(u,w))) * K(u,w) = x * L(K(u,w),z,y). [para(10176(a,1),9895(a,1,1,2))]. given #9320 (H,wt=21): 10187 (x * a(y,z,K(u,w))) * K(w,u) = x * L(K(w,u),z,y). [para(10176(a,1),9924(a,1,1,2))]. given #9321 (H,wt=17): 10224 x / a(y,z,K(u,w)) = x * a(y,z,K(w,u)). [hyper(18,a,10186,a,b,10187,a),flip(a)]. given #9322 (H,wt=21): 10211 a(x,T(y,z),T(y,z) \ 1) = x \ R(x,T(y,z),y \ 1). [hyper(72,a,10208,a(flip),b,689,a),flip(a)]. given #9323 (H,wt=21): 10223 a(x,y,K(z,u)) * (L(K(z,u),y,x) * w) = K(z,u) * w. [para(6041(a,1),10185(a,1,2)),flip(a)]. given #9324 (H,wt=21): 10225 (x * K(y,z)) * a(u,w,K(z,y)) = x * L(K(y,z),w,u). [hyper(18,a,1655,a,b,10187,a)]. given #9325 (H,wt=21): 10228 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(x,y)) \ w. [hyper(72,a,5268,a(flip),b,10223,a),flip(a)]. given #9326 (H,wt=22): 10209 R(x,T(y,z),y \ 1) != u | R(x,T(y,z),T(y,z) \ 1) = u. [para(4990(a,1),10207(a,1,3))]. given #9327 (H,wt=22): 10220 R(x,y \ 1,y) / (T(y \ 1,z) \ 1) = x * T(y \ 1,z). [para(2798(a,1),10218(a,1,1))]. given #9328 (H,wt=23): 10183 K(x \ 1,y) * K(y,L(x,z,u) \ 1) = a(u,z,K(x \ 1,y)). [para(5890(a,1),10176(a,1,2))]. given #9329 (H,wt=23): 10229 (x * T(y,z)) * L(K(z,y),u,w) = (x * y) * a(w,u,K(y,z)). [para(7554(a,1),10225(a,1,1)),flip(a)]. given #9330 (H,wt=23): 10231 x * (T(y,z) * L(K(z,y),u,w)) = (x * y) * a(w,u,K(y,z)). [hyper(236,a,7760,a(flip),b,10229,a(flip)),flip(a)]. given #9331 (H,wt=21): 10232 (x * y) * a(z,u,K(y,w)) = x * (y * a(z,u,K(y,w))). [para(10182(a,1),10231(a,1,2)),flip(a)]. given #9332 (H,wt=11): 10233 a(x,y,a(z,u,K(y,w))) = 1. [hyper(71,a,10232,a(flip),b,91,a),flip(a)]. given #9333 (H,wt=13): 10234 a(x,T(y,z),a(u,w,K(y,v5))) = 1. [para(8054(a,1),10233(a,1,3,3))]. given #9334 (H,wt=24): 10226 x * L(K(y,z),u,w) != v5 * K(y,z) | x * a(w,u,K(z,y)) = v5. [para(10187(a,1),20(a,1))]. given #9335 (H,wt=25): 10227 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(z,u,K(v5,w)). [para(10224(a,1),393(a,1,1))]. given #9336 (H,wt=27): 10203 (x / (x / y)) * K(L(y,z,u),y \ x) = y * a(u,z * y,K(y \ x,y)). [para(10184(a,1),5573(a,2,2))]. given #9337 (H,wt=25): 10235 x / T(x / y,T(L(y,z,u),y)) = y * a(u,z * y,K(y \ x,y)). [hyper(236,a,7630,a(flip),b,10203,a(flip)),flip(a)]. given #9338 (H,wt=23): 10236 x / T(x / y,L(y,z,u)) = y * a(u,z * y,K(y \ x,y)). [para(132(a,1),10235(a,1,2,2))]. given #9339 (H,wt=29): 7857 K(T(x,y \ x) / y,z \ x) * (x / y) = T(T(T(x,y \ x) / y,x),x / z). [para(3897(a,1),7454(a,1,2))]. given #9340 (H,wt=25): 10237 T(T(T(x,y \ x) / y,x),x / z) = K(y \ x,z \ x) * (x / y). [para(8675(a,1),7857(a,1,1)),flip(a)]. given #9341 (H,wt=23): 10238 T(T(T(x,y \ x) / y,x),x / z) = T(x / y,T(z \ x,y)). [hyper(236,a,7372,a(flip),b,10237,a)]. given #9342 (H,wt=17): 10239 T(x / y,T(z \ x,y)) = T(x / y,x / z). [para(3897(a,1),10238(a,1,1)),flip(a)]. given #9343 (H,wt=21): 10240 T(x / y,T(z \ (y \ x),y)) = T(x / y,x / (y * z)). [hyper(9820,a,10239,a)]. given #9344 (H,wt=29): 8401 K(R(x * K(y,x),y,z),T(u,y * z)) != w | K((y * z) \ ((y * x) * z),u) = w. [para(5032(a,2),8178(a,1,1))]. given #9345 (H,wt=29): 8605 1 * T((x \ 1) * y,K(z,T(u,x \ y))) = T(T((x \ 1) * y,x \ y),K(z,u)). [para(4523(a,1),7679(a,1,1))]. given #9346 (H,wt=27): 10241 T(T((x \ 1) * y,x \ y),K(z,u)) = T((x \ 1) * y,K(z,T(u,x \ y))). [hyper(76,a,8605,a),flip(a)]. given #9347 (H,wt=23): 10242 T((x \ 1) * y,K(z,T(u,x \ y))) = T((x \ 1) * y,K(z,u)). [para(4521(a,1),10241(a,1,1)),flip(a)]. given #9348 (H,wt=29): 8708 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(8693(a,1),5667(a,1,1,1,2)),flip(a)]. given #9349 (H,wt=22): 10244 K(L(x,y,z),u \ L(K(x,w),v5,v6)) = K(L(x,y,z),u \ 1). [hyper(236,a,5667,a(flip),b,8708,a)]. given #9350 (H,wt=25): 10245 K(L(x,y,z),u \ L(K(x,w),v5,v6)) != v7 | K(L(x,y,z),u \ 1) = v7. [para(8708(a,2),7667(a,1))]. given #9351 (H,wt=29): 8722 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(x,K(z,y \ 1) / y). [para(7086(a,1),8721(a,1,2,1)),flip(a)]. given #9352 (H,wt=27): 10246 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [hyper(236,a,8721,a(flip),b,8722,a)]. given #9353 (H,wt=23): 10247 K(T(x,((y \ 1) / (y \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [para(62(a,1),10246(a,1,1,2,1,2,1))]. given #9354 (H,wt=21): 10248 K(T(x,(y \ 1) \ (y \ z)),y \ 1) = K(T(x,z),y \ 1). [hyper(236,a,8612,a(flip),b,10247,a(flip)),flip(a)]. given #9355 (H,wt=17): 10250 K(T(x,y \ z),y \ 1) = K(T(x,z),y \ 1). [hyper(8393,a,10248,a)]. given #9356 (H,wt=29): 8937 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(5909(a,1),8934(a,2,2))]. given #9357 (H,wt=25): 10251 T(x * L(K(y,z),u,w),K(z,v5)) = T(x,K(z,v5)) * L(K(y,z),u,w). [para(5909(a,1),8937(a,1,1,2))]. given #9358 (H,wt=25): 10252 L(K(x,y),z,u) \ T(w,K(y,v5)) = T(L(K(x,y),z,u) \ w,K(y,v5)). [hyper(4651,a,10251,a)]. given #9359 (H,wt=25): 10253 L(K(x,y),z,u) \ T(w,K(y,v5)) = T(L(K(y,x),z,u) * w,K(y,v5)). [para(6039(a,1),10252(a,2,1))]. given #9360 (H,wt=25): 10254 T(L(K(x,y),z,u) * w,K(x,v5)) = L(K(x,y),z,u) * T(w,K(x,v5)). [hyper(6045,a,10253,a),flip(a)]. given #9361 (H,wt=29): 9171 (x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)) = x \ R(x,y,L(x,z,u)). [hyper(236,a,9024,a,b,8771,a(flip)),flip(a)]. given #9362 (H,wt=27): 10256 (x * (y * L(x,z,u))) \ ((x * y) * L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(1674(a,1),9171(a,1,2))]. given #9363 (H,wt=17): 10257 x \ R(x,y,L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(679,a,10256,a),flip(a)]. given #9364 (H,wt=20): 10258 x \ R(x,y,L(x,z,u)) != w | a(x,y,L(x,z,u)) = w. [para(10256(a,1),679(a,1))]. given #9365 (H,wt=20): 10259 K(x,y) * K(y * L(x,z,u),x) = a(x,y,L(x,z,u)). [hyper(8772,a,10257,a)]. given #9366 (H,wt=20): 10261 K(x,y) * a(y,x,L(y,z,u)) = K(x * L(y,z,u),y). [hyper(5285,a,10259,a)]. given #9367 (H,wt=26): 10260 a(x,y * K(L(x,z,u),y),L(x,z,u)) = x \ R(x,y,T(L(x,z,u),y)). [para(9717(a,1),10257(a,1,2)),flip(a)]. given #9368 (H,wt=29): 9358 T(T(x,K(y,z \ u)),(((z \ 1) \ 1) \ u) \ y) = T(x,y / (((z \ 1) \ 1) \ u)). [para(5478(a,1),9355(a,1,1,2))]. given #9369 (H,wt=25): 10262 T(T(x,K(y,z \ u)),(z \ u) \ y) = T(x,y / (((z \ 1) \ 1) \ u)). [hyper(236,a,4613,a(flip),b,9358,a(flip)),flip(a)]. given #9370 (H,wt=19): 10263 T(x,y / (((z \ 1) \ 1) \ u)) = T(x,y / (z \ u)). [hyper(236,a,9355,a(flip),b,10262,a(flip))]. given #9371 (H,wt=29): 9404 K(x,K(y,z / (y / x))) * K(y / x,(y / x) \ z) = K(x \ y,z / (y / x)). [para(4994(a,1),9382(a,1,2))]. given #9372 (H,wt=29): 9462 (x * (y * R(x,z,u))) \ ((y * R(x,z,u)) * T(x,y)) = x \ R(x,y,R(x,z,u)). [hyper(236,a,9030,a,b,9432,a(flip)),flip(a)]. given #9373 (H,wt=27): 10264 (x * (y * R(x,z,u))) \ ((x * y) * R(x,z,u)) = x \ R(x,y,R(x,z,u)). [para(1932(a,1),9462(a,1,2))]. given #9374 (H,wt=17): 10265 x \ R(x,y,R(x,z,u)) = a(x,y,R(x,z,u)). [hyper(679,a,10264,a),flip(a)]. given #9375 (H,wt=17): 10268 x * a(x,y,R(x,z,u)) = R(x,y,R(x,z,u)). [para(10265(a,1),14(a,1,2))]. given #9376 (H,wt=19): 10269 R(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)) \ 1. [para(10265(a,1),6690(a,1,1)),flip(a)]. given #9377 (H,wt=20): 10266 x \ R(x,y,R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(10264(a,1),679(a,1))]. given #9378 (H,wt=20): 10267 K(x * R(y,z,u),y) * K(y,x) = a(y,x,R(y,z,u)). [hyper(9463,a,10265,a)]. given #9379 (H,wt=20): 10272 a(x,y,R(x,z,u)) * K(x,y * R(x,z,u)) = K(x,y). [para(10267(a,1),7538(a,1,1))]. given #9380 (H,wt=25): 10275 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),10272(a,1,2,2))]. given #9381 (H,wt=28): 10274 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(10267(a,1),8628(a,1,1)),flip(a)]. given #9382 (H,wt=29): 9781 (K(x,y) * (z \ 1)) * a(z,K(x,y) * (z \ 1),z) = L(K(x,y),z \ 1,z) / z. [para(9780(a,1),9047(a,1,1)),flip(a)]. given #9383 (H,wt=29): 10202 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(6574(a,1),10200(a,1,1))]. given #9384 (H,wt=29): 10270 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(10109(a,2),10265(a,1,2))]. given #9385 (H,wt=25): 10276 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(10266,a,10270,a)]. given #9386 (H,wt=21): 10277 a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(236,a,7120,a(flip),b,10276,a(flip))]. given #9387 (H,wt=17): 10278 a(x,y,R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(4417,a,10277,a)]. given #9388 (H,wt=29): 10271 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(4416(a,1),10269(a,2,1))]. given #9389 (H,wt=27): 10279 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(10109(a,1),10271(a,1,1))]. given #9390 (H,wt=25): 10280 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(R(x,z,u),y,x) \ 1. [para(10278(a,1),10279(a,2,1))]. given #9391 (H,wt=23): 10281 a(T(x,y),y,R(T(x,y),z,u)) \ 1 = a(R(x,z,u),y,x) \ 1. [hyper(236,a,10269,a(flip),b,10280,a(flip)),flip(a)]. given #9392 (H,wt=30): 7301 R(K(x,T(y,z)),K(y,x) * u,(K(y,x) * u) \ z) = z \ (u * ((K(y,x) * u) \ z)). [para(7256(a,2),5292(a,1,1))]. given #9393 (H,wt=30): 8110 (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(8047(a,1),5290(a,1,1,3)),flip(a)]. given #9394 (H,wt=30): 8202 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(7987(a,1),5848(a,1,1))]. given #9395 (H,wt=26): 10283 L(x * K(y,z),K(z,y),x * K(y,z)) = T(K(y,z) * x,T(x,K(y,z))). [para(5269(a,1),8202(a,1,2)),flip(a)]. given #9396 (H,wt=25): 10284 L(x * K(y,z),K(z,y),x * K(y,z)) != u | T(K(y,z) * x,x) = u. [para(10283(a,2),7859(a,1))]. given #9397 (H,wt=30): 8880 L(T(x,y \ ((x \ z) \ u)),w,v5) \ L(x,w,v5) = K(y \ ((z / x) \ u),L(x,w,v5)). [para(8863(a,1),4838(a,1,1,1))]. given #9398 (H,wt=28): 10285 K(x \ ((y / z) \ u),L(z,w,v5)) != v6 | K(x \ ((z \ y) \ u),L(z,w,v5)) = v6. [para(8880(a,1),5124(a,1))]. given #9399 (H,wt=30): 8981 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(236,a,8445,a(flip),b,8464,a)]. given #9400 (H,wt=30): 9087 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(168,a,9020,a,b,606,a)]. given #9401 (H,wt=30): 9519 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,((y * z) * u) / (y * (z * u))). [para(3696(a,1),9516(a,2,2))]. given #9402 (H,wt=30): 9540 T(T(x,y) \ ((z * (1 / T(x,y))) \ z),x) = T(x,y) \ L(T(x,y),T(x,y) \ 1,z). [para(2767(a,1),8461(a,1,1,2))]. given #9403 (H,wt=30): 9645 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * (T(K(x,y),z) * T(x \ 1,z)). [para(9639(a,1),859(a,1,2,2)),flip(a)]. given #9404 (H,wt=30): 9697 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(9696(a,1),4888(a,1,2,1))]. given #9405 (H,wt=23): 10289 K(L(K(x,y),z,u),w \ (v5 / x)) = K(L(K(x,y),z,u),w \ v5). [hyper(5130,a,9697,a),flip(a)]. given #9406 (H,wt=30): 9805 K(x / (y * ((z \ 1) * x)),(z \ 1) \ 1) != u | K(y \ (x / ((z \ 1) * x)),z) = u. [para(9803(a,2),5441(a,1))]. given #9407 (H,wt=17): 10290 K(x \ (y / ((z \ 1) * y)),z) = K(x \ z,z). [hyper(9805,a,9962,a)]. given #9408 (H,wt=22): 10291 K(x \ R(y \ 1,y,z),y \ 1) = K(x \ (y \ 1),y \ 1). [para(3066(a,2),10290(a,1,1,2))]. given #9409 (H,wt=21): 10292 K(x / (y * (z * x)),z \ 1) = K(y \ (z \ 1),z \ 1). [hyper(236,a,9802,a(flip),b,10291,a(flip)),flip(a)]. given #9410 (H,wt=21): 10294 K(x \ ((y * z) \ z),y \ 1) = K(x \ (y \ 1),y \ 1). [hyper(236,a,9804,a(flip),b,10292,a(flip)),flip(a)]. given #9411 (H,wt=30): 10041 L(T(x,(y * z) \ (x \ u)),w,v5) \ L(x,w,v5) = K((y * (z * x)) \ u,L(x,w,v5)). [para(10040(a,1),4838(a,1,1,1))]. given #9412 (H,wt=28): 10296 K((x * (y * z)) \ u,L(z,w,v5)) != v6 | K((x * y) \ (z \ u),L(z,w,v5)) = v6. [para(10041(a,1),5124(a,1))]. given #9413 (H,wt=30): 10061 K(x,K((1 / (y \ z)) / u,R(u / y,y,y \ z))) = K(x,K(z,(1 / (y \ z)) / u)). [para(484(a,2),10060(a,1,2,2))]. given #9414 (H,wt=30): 10197 L(K(1 / (x \ (x / y)),z),x \ (x / (1 / (1 / y))),u) = K(1 / (x \ (x / y)),z). [para(2754(a,1),10195(a,1,2))]. given #9415 (H,wt=28): 10297 L(K((x / y) \ x,z),x \ (x / (1 / (1 / y))),u) = K(1 / (x \ (x / y)),z). [para(6291(a,1),10197(a,1,1))]. given #9416 (H,wt=24): 10298 L(K(x,y),z \ (z / (1 / (1 / x))),u) = K(1 / (z \ (z / x)),y). [para(65(a,1),10297(a,1,1,1))]. given #9417 (H,wt=24): 10300 L(K(x,y),1 / (1 / (z \ (z / x))),u) = K(1 / (z \ (z / x)),y). [para(2754(a,2),10298(a,1,2))]. given #9418 (H,wt=20): 10301 L(K(x,y),z \ (z / x),u) = K(1 / (z \ (z / x)),y). [hyper(236,a,7001,a(flip),b,10300,a(flip)),flip(a)]. given #9419 (H,wt=18): 10302 L(K(x,y),z \ (z / x),u) = K((z / x) \ z,y). [hyper(236,a,6291,a(flip),b,10301,a)]. given #9420 (H,wt=14): 10303 L(K(x,y),z \ (z / x),u) = K(x,y). [hyper(236,a,661,a(flip),b,10302,a)]. given #9421 (H,wt=25): 10305 (x / y) \ (x * (K(y,z) * (x \ (x / y)))) = T(K(y,z),x \ (x / y)). [para(10303(a,1),755(a,1,1)),flip(a)]. given #9422 (H,wt=23): 10306 (x / y) \ (x * (K(y,z) * (x \ (x / y)))) = T(K(y,z),1 / y). [hyper(236,a,6386,a(flip),b,10305,a)]. given #9423 (H,wt=22): 10308 (x / y) \ (x * (K(y,z) * (x \ (x / y)))) != u | K(y,z) = u. [para(10306(a,2),8175(a,1))]. given #9424 (H,wt=30): 10273 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(7515(a,1),10267(a,1,1))]. given #9425 (H,wt=25): 10309 a(x,T(y,R(x,z,u)),R(x,w,v5)) = K(y * R(x,w,v5),x) * K(x,y). [para(7273(a,1),10273(a,1,2)),flip(a)]. given #9426 (H,wt=20): 10310 a(x,T(y,R(x,z,u)),R(x,w,v5)) = a(x,y,R(x,w,v5)). [hyper(236,a,10267,a(flip),b,10309,a)]. given #9427 (H,wt=17): 10313 a(x,T(y,x),R(x,z,u)) = a(x,y,R(x,z,u)). [para(338(a,1),10310(a,1,2,2))]. given #9428 (H,wt=25): 10312 a(x,y / R(x,z,u),R(x,w,v5)) = a(x,R(x,z,u) \ y,R(x,w,v5)). [para(121(a,1),10310(a,1,2)),flip(a)]. given #9429 (H,wt=25): 10314 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,u / R(x,y,z)). [para(10312(a,1),10275(a,1,1))]. given #9430 (H,wt=25): 10315 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,R(x,y,z) \ u). [hyper(236,a,7332,a(flip),b,10314,a)]. given #9431 (H,wt=30): 10282 (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(7260(a,1),8110(a,2,1,2))]. given #9432 (H,wt=30): 10286 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),8981(a,1,1,2))]. given #9433 (H,wt=30): 10287 T(T(x,y) \ T((z * (1 / x)) \ z,y),x) = T(x,y) \ L(T(x,y),T(x,y) \ 1,z). [para(9932(a,1),9540(a,1,1,2))]. given #9434 (H,wt=26): 10317 T(x \ ((y * (1 / x)) \ y),x) = T(x,z) \ L(T(x,z),T(x,z) \ 1,y). [para(6549(a,1),10287(a,1,1))]. given #9435 (H,wt=23): 10318 T(x,y) \ L(T(x,y),T(x,y) \ 1,z) = x \ L(x,x \ 1,z). [hyper(236,a,4770,a(flip),b,10317,a(flip))]. given #9436 (H,wt=30): 10288 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * (K(x,T(y,z)) * T(x \ 1,z)). [para(7256(a,2),9645(a,2,2,1))]. given #9437 (H,wt=26): 10320 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * T(x \ K(x,y),z). [para(10095(a,1),10288(a,2,2))]. given #9438 (H,wt=24): 10321 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = (x \ K(x,y)) * z. [hyper(236,a,119,a(flip),b,10320,a)]. given #9439 (H,wt=24): 10322 L(x \ 1,K(x,T(y,z)),z) * (K(x,y) * z) = (x \ K(x,y)) * z. [para(7256(a,2),10321(a,1,1,2))]. given #9440 (H,wt=17): 10323 (x \ 1) * (K(x,y) * z) = (x \ K(x,y)) * z. [para(9496(a,1),10322(a,1,1))]. given #9441 (H,wt=17): 10324 K(x,y) * ((x \ 1) * z) = (x \ K(x,y)) * z. [hyper(236,a,6121,a,b,10323,a(flip)),flip(a)]. given #9442 (H,wt=10): 10329 L(x,y \ 1,K(y,z)) = x. [hyper(4039,a,10324,a)]. given #9443 (H,wt=10): 10330 L(x,y,K(y \ 1,z)) = x. [hyper(236,a,6999,a(flip),b,10329,a(flip)),flip(a)]. given #9444 (H,wt=17): 10327 ((x \ 1) * y) / ((x \ K(x,z)) * y) = K(z,x). [para(10323(a,1),6126(a,1,2))]. given #9445 (H,wt=12): 10333 R(K(x,y),y \ 1,z) = K(x,y). [hyper(236,a,6808,a(flip),b,10327,a(flip)),flip(a)]. given #9446 (H,wt=17): 10334 (x \ 1) * ((x \ K(x,y)) \ z) = K(y,x) * z. [para(10327(a,1),245(a,1,1)),flip(a)]. given #9447 (H,wt=17): 10336 (x \ 1) \ (K(y,x) * z) = (x \ K(x,y)) \ z. [hyper(80,a,10334,a)]. given #9448 (H,wt=19): 10331 (K(x \ 1,y) * x) \ z = x \ (K(y,x \ 1) * z). [hyper(236,a,5276,a(flip),b,10330,a(flip)),flip(a)]. given #9449 (H,wt=19): 10337 (x \ K(x,x \ y)) \ (y / x) = (x \ 1) \ (x \ y). [hyper(72,a,5020,a(flip),b,10334,a),flip(a)]. given #9450 (H,wt=19): 10338 (x * K(1 / x,y)) \ z = x \ (K(y,x \ 1) * z). [para(8114(a,1),10331(a,1,1))]. given #9451 (H,wt=21): 10339 (x \ K(x,(x \ 1) * y)) \ (y / x) = (x \ 1) \ (x \ y). [para(7094(a,2),10337(a,1,1,2))]. given #9452 (H,wt=23): 10332 (K((x / y) \ 1,z) * x) / y = K((x / y) \ 1,z) * (x / y). [para(10330(a,1),494(a,1,2))]. given #9453 (H,wt=21): 10342 K((x / y) \ 1,z) * (x / y) = (K(y / x,z) * x) / y. [para(5699(a,1),10332(a,1,1,1)),flip(a)]. given #9454 (H,wt=21): 10343 K((x / y) \ 1,z) * (x / y) = (x * K(x \ y,z)) / y. [para(7336(a,1),10342(a,2,1))]. given #9455 (H,wt=19): 10344 (x * K(x \ y,z)) / y = K(y / x,z) * (x / y). [para(5699(a,1),10343(a,1,1)),flip(a)]. given #9456 (H,wt=24): 10326 (x \ 1) * (K(x,y) * z) != u * w | ((x \ K(x,y)) * z) / w = u. [para(10323(a,2),555(a,1))]. given #9457 (H,wt=25): 10340 (x \ y) \ (K(z,(x \ y) \ 1) * u) = ((x \ y) * K(y \ x,z)) \ u. [para(6291(a,1),10338(a,1,1,2)),flip(a)]. given #9458 (H,wt=30): 10316 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(7981(a,1),10286(a,1,2))]. given #9459 (H,wt=23): 10345 K(x * R(T(y,z),u,w),T(y,v5)) = K(x * R(y,u,w),T(y,v5)). [para(7890(a,1),10316(a,1,2))]. given #9460 (H,wt=28): 10346 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(10345(a,1),5495(a,1,1,2))]. given #9461 (H,wt=26): 10348 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(T(x,w),z,u)). [para(5493(a,1),10346(a,1,1))]. given #9462 (H,wt=21): 10349 R(T(x,y),z,R(T(x,y),u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(236,a,6891,a(flip),b,10348,a(flip))]. given #9463 (H,wt=31): 7401 (K(x,y) * z) * K(K(x,y) * (z * y),y \ 1) = ((y \ 1) \ (K(x,y) * z)) * (y \ 1). [para(7242(a,1),6012(a,2,2,1)),flip(a)]. given #9464 (H,wt=29): 10351 (K(x,y) * z) * K(K(x,y) * (z * y),y \ 1) = ((y \ K(y,x)) \ z) * (y \ 1). [para(10336(a,1),7401(a,2,1))]. given #9465 (H,wt=25): 10352 (K(x,y) * z) * K(z * y,y \ 1) = ((y \ K(y,x)) \ z) * (y \ 1). [para(9647(a,1),10351(a,1,2))]. given #9466 (H,wt=31): 7617 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(7554(a,1),468(a,1,2)),flip(a)]. given #9467 (H,wt=25): 10354 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = ((x * y) * z) / (y * z). [para(7554(a,1),7617(a,2,1))]. given #9468 (H,wt=20): 10355 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = R(x,y,z). [hyper(236,a,30,a,b,10354,a)]. given #9469 (H,wt=23): 10356 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) != w | R(x,y,z) = w. [para(10354(a,2),475(a,1))]. given #9470 (H,wt=14): 10361 R(x,y,T(z,x)) != u | R(x,y,z) = u. [para(8272(a,1),10356(a,1))]. given #9471 (H,wt=13): 10362 K(x,y) != z | R(K(x,y),x,u) = z. [para(3968(a,1),10361(a,1))]. given #9472 (H,wt=13): 10363 K(x,y) != z | R(K(x,y),y,u) = z. [para(6817(a,1),10361(a,1))]. given #9473 (H,wt=24): 10359 R(R(x,y \ z,T(y,y \ z)),z,K(y \ z,y)) = R(x,y \ z,y). [para(165(a,1),10355(a,1,2))]. given #9474 (H,wt=20): 10364 R(R(x,y / z,z),y,K(z \ y,z)) = R(x,z \ y,z). [para(9718(a,1),10359(a,1,1))]. given #9475 (H,wt=29): 10360 R(R(x,y,(z \ u) \ u),y * T(z,z \ u),K(z \ u,z)) != w | R(x,y,z) = w. [para(120(a,1),10356(a,1,1,3))]. given #9476 (H,wt=31): 7875 (R(x \ y,z,x \ y) / (x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). [hyper(236,a,7240,a,b,7741,a)]. given #9477 (H,wt=31): 8487 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(6037(a,1),8433(a,1,1,2))]. given #9478 (H,wt=29): 10366 1 * ((x \ R(x,y,z)) / K(u,R(x,w,v5))) = K(R(x,w,v5),u) * (x \ R(x,y,z)). [para(146(a,1),8487(a,1,1))]. given #9479 (H,wt=29): 10368 1 * ((x \ R(x,y,z)) * K(R(x,u,w),v5)) = K(R(x,u,w),v5) * (x \ R(x,y,z)). [para(7547(a,1),10366(a,1,2))]. given #9480 (H,wt=24): 10369 K(R(x,y,z),u) * (x \ R(x,y,z)) = 1 * (x \ R(T(x,u),y,z)). [para(6933(a,1),10368(a,1,2)),flip(a)]. given #9481 (H,wt=22): 10370 K(R(x,y,z),u) * (x \ R(x,y,z)) = x \ R(T(x,u),y,z). [hyper(236,a,11,a(flip),b,10369,a)]. given #9482 (H,wt=22): 10371 K(x,R(y,z,u)) * (y \ R(T(y,x),z,u)) = y \ R(y,z,u). [hyper(5285,a,10370,a)]. given #9483 (H,wt=25): 10372 K(x,y) * (x \ R(x,z,R(x,u,w))) = x \ R(T(x,y),z,R(x,u,w)). [para(8782(a,1),10370(a,1,1))]. given #9484 (H,wt=23): 10375 x \ R(T(x,y),z,R(x,u,w)) = K(x,y) * a(x,z,R(x,u,w)). [para(10265(a,1),10372(a,1,2)),flip(a)]. given #9485 (H,wt=21): 10376 T(x,y) \ R(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(5345,a,10375,a)]. given #9486 (H,wt=21): 10378 T(x,y) * a(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [para(10376(a,1),14(a,1,2))]. given #9487 (H,wt=25): 10377 ((x \ y) \ y) \ R((x \ y) \ y,z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(5973,a,10376,a)]. given #9488 (H,wt=31): 8560 T(L(K(x,y),T(y,z),u),w) * (T(y,x) * (y \ w)) = w * K(L(K(x,y),T(y,z),u),w). [para(8527(a,1),4861(a,1,2))]. given #9489 (H,wt=31): 8783 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(8782(a,1),5382(a,1,1,1)),flip(a)]. given #9490 (H,wt=31): 8890 (x * T(K(y,z) \ u,K(y,z))) * K(y,z) = (x * (K(z,y) * u)) * (u / (u / K(y,z))). [para(5260(a,1),7867(a,2,1,2))]. given #9491 (H,wt=29): 10379 (x * T(K(y,z) \ u,K(y,z))) * K(y,z) = (x * (K(z,y) * u)) * K(y,T(z,u)). [para(8169(a,1),8890(a,2,2))]. given #9492 (H,wt=25): 10380 (x * (K(y,z) * u)) * K(z,T(y,u)) = (x * (u * K(y,z))) * K(z,y). [para(8191(a,1),10379(a,1,1,2)),flip(a)]. given #9493 (H,wt=31): 9679 K(x,T(T(T(x,y) * z,u),w)) = T(T(x * K(z * T(x,v5),x),w),u) \ T(T(x,w),u). [para(7664(a,1),9472(a,1,1,1,1,2)),flip(a)]. given #9494 (H,wt=23): 10381 K(x,T(T(T(x,y) * z,u),w)) = K(x,T(T(z * T(x,v5),u),w)). [hyper(236,a,9472,a(flip),b,9679,a)]. given #9495 (H,wt=21): 10382 K(x,T(T(y * T(x,z),u),w)) = K(x,T(T(x * y,u),w)). [para(118(a,1),10381(a,1,2,1,1,1)),flip(a)]. given #9496 (H,wt=31): 9879 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(468(a,1),9870(a,1,1))]. given #9497 (H,wt=26): 10383 K((((x * K(y,z)) * u) * w) / (u * w),z) = K(R(x,K(y,z) * u,w),z). [hyper(236,a,8512,a(flip),b,9879,a(flip))]. given #9498 (H,wt=21): 10385 K(R(x * K(y,z),u,w),z) = K(R(x,K(y,z) * u,w),z). [para(30(a,2),10383(a,1,1))]. given #9499 (H,wt=21): 10386 K(R(K(x,y) * z,u,w),y) = K(R(z,K(x,y) * u,w),y). [hyper(236,a,7879,a,b,10385,a(flip)),flip(a)]. given #9500 (H,wt=23): 10387 R(K(x,y),z * (K(u,y) * x),w) = K(R(x,K(u,y) * z,w),y). [hyper(236,a,9460,a,b,10386,a(flip)),flip(a)]. given #9501 (H,wt=31): 9881 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(468(a,1),9872(a,1,2))]. given #9502 (H,wt=26): 10388 K(x,(((y * K(z,x)) * u) * w) / (u * w)) = K(x,R(y,K(z,x) * u,w)). [hyper(236,a,8508,a(flip),b,9881,a(flip))]. given #9503 (H,wt=21): 10390 K(x,R(y * K(z,x),u,w)) = K(x,R(y,K(z,x) * u,w)). [para(30(a,2),10388(a,1,2))]. given #9504 (H,wt=31): 10022 L(K(x,(y * z) \ ((u \ w) * x)),u \ w,u) != v5 | K(x,(u * (y * (z / x))) \ w) = v5. [para(10013(a,1),9929(a,1,1))]. given #9505 (H,wt=31): 10088 K((x * ((y * z) \ y)) \ ((1 / ((y * z) \ y)) \ u),1 / ((y * z) \ y)) = K(x \ u,z). [para(13(a,1),10036(a,2,2))]. given #9506 (H,wt=29): 10391 K((x * ((y * z) \ y)) \ ((1 / ((y * z) \ y)) \ u),y \ (y * z)) = K(x \ u,z). [hyper(6478,a,10088,a)]. given #9507 (H,wt=25): 10392 K((x * ((y * z) \ y)) \ ((1 / ((y * z) \ y)) \ u),z) = K(x \ u,z). [para(13(a,1),10391(a,1,2))]. given #9508 (H,wt=25): 10393 K(((x * y) \ x) \ (y \ ((1 / ((x * y) \ x)) \ z)),y) = K(y \ z,y). [hyper(8568,a,10392,a)]. given #9509 (H,wt=31): 10160 L(K(x,y),z,y * x) * ((y * x) * z) != u * w | ((y * x) * (K(x,y) * z)) / w = u. [para(10157(a,2),555(a,1))]. given #9510 (H,wt=31): 10169 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(10124(a,1),7971(a,1))]. given #9511 (H,wt=31): 10365 ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). [para(3688(a,1),7875(a,1,1))]. given #9512 (H,wt=25): 10394 ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R(y / x,z,x \ y). [para(4903(a,1),10365(a,2,1))]. given #9513 (H,wt=21): 10395 a(x \ y,z,x \ y) * (y / x) = R(y / x,z,x \ y). [para(9038(a,1),10394(a,1,1))]. given #9514 (H,wt=25): 10396 R(T(x / y,K(y,x)),z,x / y) = a(y \ x,z,y \ x) * (x / y). [hyper(236,a,8481,a,b,10395,a),flip(a)]. given #9515 (H,wt=17): 10397 a(x / y,z,x / y) = a(y \ x,z,y \ x). [hyper(9858,a,10396,a)]. given #9516 (H,wt=31): 10373 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(4429(a,1),10371(a,1,2,2))]. given #9517 (H,wt=28): 10398 K(x * y,T(y,z)) * (T(y,z) \ T(T(y,z),x)) = T(y,z) \ R(T(y,z),x,y). [para(8389(a,1),10373(a,1,1))]. given #9518 (H,wt=24): 10399 K(x * y,T(y,z)) * K(T(y,z),x) = T(y,z) \ R(T(y,z),x,y). [para(4829(a,2),10398(a,1,2))]. given #9519 (H,wt=24): 10401 K(x * y,T(x,z)) * K(T(x,z),y) = T(x,z) \ R(T(x,z),y,x). [para(6036(a,1),10399(a,1,1))]. given #9520 (H,wt=20): 10402 K(x * y,T(x,z)) * K(T(x,z),y) = x \ R(x,y,x). [hyper(236,a,7677,a(flip),b,10401,a)]. given #9521 (H,wt=20): 10403 K(T(x,y),z) * K(x * z,T(x,y)) = x \ R(x,z,x). [hyper(2197,a,10402,a)]. given #9522 (H,wt=32): 7582 R(x / (y * K(1 / z,z)),y / K(z,1 / z),K(z,1 / z)) = K(z,1 / z) * (x / y). [para(7547(a,1),3674(a,1,1,2))]. given #9523 (H,wt=19): 10405 x / (y * K(1 / z,z)) = K(z,1 / z) * (x / y). [hyper(236,a,4481,a(flip),b,7582,a(flip)),flip(a)]. given #9524 (H,wt=23): 10407 K(x,1 / x) * (y / L(x,z,u)) = y / (1 / (1 / L(x,z,u))). [para(6621(a,1),10405(a,1,2)),flip(a)]. given #9525 (H,wt=32): 7632 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(7557(a,1),4217(a,1,1,1,2))]. given #9526 (H,wt=32): 9075 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(8467(a,1),9053(a,1,2))]. given #9527 (H,wt=32): 9101 (L(x,y,z) * u) \ (u * L(T(x,w),y,z)) != v5 | K(u,L(x,y,z)) * K(L(x,y,z),w) = v5. [para(40(a,2),9083(a,1,2,2))]. given #9528 (H,wt=32): 9153 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(5846(a,1),8387(a,1,2,1))]. given #9529 (H,wt=28): 10408 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(7535(a,1),9153(a,1,2))]. given #9530 (H,wt=24): 10409 R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,x) = K(z,T(y,x)). [hyper(236,a,8032,a(flip),b,10408,a)]. given #9531 (H,wt=32): 9180 K(L(x,y * z,u),(u \ (u * (x * y))) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(440(a,1),8908(a,2,2))]. given #9532 (H,wt=28): 10411 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),9180(a,1,2,1))]. given #9533 (H,wt=23): 10413 K(L(x,y * z,u),L(z,y,x)) = K(x,L(L(z,y,x),x * y,u)). [para(28(a,2),10411(a,1,2))]. given #9534 (H,wt=20): 10414 K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)). [hyper(236,a,8550,a(flip),b,10413,a(flip)),flip(a)]. given #9535 (H,wt=17): 10415 K(L(x,y * z,u),z) = K(x,L(z,x * y,u)). [hyper(236,a,8284,a(flip),b,10414,a)]. given #9536 (H,wt=17): 10418 K(L(x,(x \ y) * z,u),z) = K(x,L(z,y,u)). [para(14(a,1),10415(a,2,2,2))]. given #9537 (H,wt=11): 10421 L(x,y,K(z,L(x,u,w))) = x. [para(10418(a,1),7400(a,1,3))]. given #9538 (H,wt=14): 10419 K(x,L(y * ((z * y) \ z),u,w)) = 1. [hyper(236,a,7040,a(flip),b,10418,a(flip))]. given #9539 (H,wt=12): 10422 K(x,a(y,z,z \ 1) \ 1) = 1. [hyper(236,a,6544,a(flip),b,10419,a(flip)),flip(a)]. given #9540 (H,wt=12): 10424 T(x,a(y,z,z \ 1) \ 1) = x. [hyper(37,a,10422,a)]. given #9541 (H,wt=12): 10425 T(x,R(y,z,z \ 1) \ y) = x. [hyper(6458,a,10424,a)]. given #9542 (H,wt=19): 10427 T(R(x,y,y \ 1) \ x,z) = R(x,y,y \ 1) \ x. [hyper(35,a,10425,a)]. given #9543 (H,wt=21): 10426 x / (R(y,z,z \ 1) \ y) = (R(y,z,z \ 1) \ y) \ x. [hyper(2346,a,10425,a),flip(a)]. given #9544 (H,wt=25): 10428 x * (((R(y,z,z \ 1) \ y) \ u) \ u) = x * (R(y,z,z \ 1) \ y). [para(10427(a,1),257(a,1,2)),flip(a)]. given #9545 (H,wt=29): 10420 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(4227(a,1),10418(a,1,1,2))]. given #9546 (H,wt=24): 10429 K(L(x,T(y * (x \ z),y),u),y) = K(x,L(R(y,x \ z,y),z,u)). [hyper(7236,a,10420,a)]. given #9547 (H,wt=32): 9427 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(9356(a,2),7930(a,2,1))]. given #9548 (H,wt=27): 10431 K(x * R(y,z,u),y) * K(y,K(w,x)) = T(K(x * R(y,z,u),T(y,x)),w). [para(9413(a,1),9427(a,1,2))]. given #9549 (H,wt=27): 10432 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),T(y,x)),w). [para(7923(a,1),10431(a,1,2))]. given #9550 (H,wt=25): 10434 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),y),w). [para(9356(a,1),10432(a,2,1))]. given #9551 (H,wt=24): 10435 a(x,y,R(x,z,u)) * T(K(y,x),w) = T(K(y * R(x,z,u),x),w). [hyper(236,a,10274,a(flip),b,10434,a(flip)),flip(a)]. given #9552 (H,wt=24): 10436 T(K(x * R(y,z,u),y),w) * T(K(y,x),w) = a(y,x,R(y,z,u)). [hyper(9029,a,10435,a)]. given #9553 (H,wt=32): 9604 (x * (y * z)) * L(K(z,y),T(x,y * z),y * z) = (y * z) * T(x * K(z,y),y * z). [para(9603(a,2),445(a,2,2))]. given #9554 (H,wt=28): 10437 (x * (y * z)) \ ((x * K(z,y)) * (y * z)) = L(K(z,y),T(x,y * z),y * z). [hyper(72,a,119,a(flip),b,9604,a)]. given #9555 (H,wt=28): 10438 K(x,((y / z) * (z * x)) \ (y * (z * x))) = L(K(x,z),T(y,z * x),z * x). [hyper(9973,a,10437,a)]. given #9556 (H,wt=28): 10439 K(x,((y / z) * z) \ (x \ (y * (z * x)))) = L(K(x,z),T(y,z * x),z * x). [hyper(10005,a,10438,a)]. given #9557 (H,wt=24): 10440 L(K(x,y),T(z,y * x),y * x) = K(x,z \ (x \ (z * (y * x)))). [para(16(a,1),10439(a,1,2,1)),flip(a)]. given #9558 (H,wt=19): 10441 L(K(x,y),T(z,y * x),y * x) = K(x,L(y,x,z)). [hyper(236,a,9167,a(flip),b,10440,a)]. given #9559 (H,wt=23): 10442 K(x,L(y,x,((y * x) * z) / (y * x))) = L(K(x,y),z,y * x). [para(162(a,1),10441(a,1,2)),flip(a)]. given #9560 (H,wt=26): 10443 (x * (y * z)) * K(z,L(y,z,x)) = (y * z) * T(x * K(z,y),y * z). [para(10441(a,1),9604(a,1,2))]. given #9561 (H,wt=19): 10444 (x * y) * T(z * K(y,x),x * y) = z * (y * x). [hyper(236,a,7575,a(flip),b,10443,a(flip))]. given #9562 (H,wt=15): 10445 (x * K(y,z)) * (z * y) = x * (y * z). [hyper(220,a,10444,a)]. given #9563 (H,wt=15): 10446 (x * (y * z)) / (z * y) = x * K(y,z). [hyper(74,a,10444,a(flip),b,119,a(flip))]. given #9564 (H,wt=15): 10448 (x / (y * z)) * K(y,z) = x / (z * y). [hyper(74,a,16,a(flip),b,10445,a),flip(a)]. given #9565 (H,wt=17): 10451 (x / y) * K(z,z \ y) = x / ((z \ y) * z). [para(14(a,1),10448(a,1,1,2))]. given #9566 (H,wt=17): 10452 (x / y) * K(y / z,z) = x / (z * (y / z)). [para(16(a,1),10448(a,1,1,2))]. given #9567 (H,wt=18): 10454 K(x / (y * z),y) != u | K(x / (z * y),y) = u. [para(10448(a,1),7471(a,1,1))]. given #9568 (H,wt=18): 10455 K(x,y / (z * x)) != u | K(x,y / (x * z)) = u. [para(10448(a,1),8115(a,1,2))]. given #9569 (H,wt=18): 10456 K(x,y / (x * z)) != u | K(x,y / (z * x)) = u. [para(10448(a,1),8499(a,1,2))]. given #9570 (H,wt=19): 10458 (x / ((y \ z) * y)) * (y \ z) = (x / z) * (z / y). [para(10451(a,1),7570(a,1,1))]. given #9571 (H,wt=23): 10459 K(x / y,(z / (y * (x / y))) * u) = K(x / y,(z / x) * u). [para(10452(a,1),8116(a,1,2,1))]. given #9572 (H,wt=23): 10460 (x / (y * z)) * (z \ (z * y)) = (x / (z * y)) * ((z * y) / z). [para(13(a,1),10458(a,1,1,2,1))]. given #9573 (H,wt=19): 10462 (x / (y * z)) * ((y * z) / y) = (x / (z * y)) * z. [para(13(a,1),10460(a,1,2)),flip(a)]. given #9574 (H,wt=23): 10461 K(x / y,((x / (x / y)) / x) * z) = K(x / y,(y / x) * z). [para(4341(a,2),10459(a,1,2,1))]. given #9575 (H,wt=24): 10449 (x * (y * z)) \ (((x * K(y,z)) * z) * y) = a(x * K(y,z),z,y). [para(10445(a,1),24(a,2,1)),flip(a)]. given #9576 (H,wt=24): 10463 (x * (y * z)) \ ((x * (z * K(y,z))) * y) = a(x * K(y,z),z,y). [para(7569(a,1),10449(a,1,2,1))]. given #9577 (H,wt=22): 10464 (x * (y * z)) \ ((x * z) * T(y,z)) = a(x * K(y,z),z,y). [para(7746(a,1),10463(a,1,2))]. given #9578 (H,wt=25): 10457 (x / (y / z)) * K(y,y \ (y / z)) = x / ((y / z) * K(z \ 1,y)). [para(5151(a,1),10451(a,2,2))]. given #9579 (H,wt=23): 10465 x / ((y / z) * K(z \ 1,y)) = (x / (y / z)) * K(y,z \ 1). [para(6404(a,1),10457(a,1,2)),flip(a)]. given #9580 (H,wt=26): 10447 (x * y) * T(z * K(y,x),x * y) != u * w | (z * (y * x)) / w = u. [para(10444(a,2),555(a,1))]. given #9581 (H,wt=32): 9683 K((x / y) \ z,R((x / y) \ 1,x / y,y)) = K(((x / y) \ 1) * z,T(y / x,x / y)). [para(633(a,1),9535(a,1,2)),flip(a)]. given #9582 (H,wt=28): 10467 K((x / y) \ z,R((x / y) \ 1,x / y,y)) = K(((x / y) \ 1) * z,y / x). [hyper(236,a,5239,a(flip),b,9683,a)]. given #9583 (H,wt=25): 10468 K((x / y) \ z,T(y / x,x / y)) = K(((x / y) \ 1) * z,y / x). [para(633(a,1),10467(a,1,2))]. given #9584 (H,wt=21): 10469 K(((x / y) \ 1) * z,y / x) = K((x / y) \ z,y / x). [hyper(5445,a,10468,a),flip(a)]. given #9585 (H,wt=21): 10470 K(((x / y) \ 1) * z,y / x) = K((y \ x) \ z,y / x). [hyper(236,a,9659,a(flip),b,10469,a)]. given #9586 (H,wt=32): 9777 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(4169(a,1),9775(a,1,1))]. given #9587 (H,wt=32): 9795 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(6039(a,1),9794(a,1,2))]. given #9588 (H,wt=32): 9969 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(9940(a,1),9238(a,2,2))]. given #9589 (H,wt=30): 10473 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(6799(a,1),9969(a,1,2))]. given #9590 (H,wt=30): 10474 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(236,a,9420,a(flip),b,10473,a(flip)),flip(a)]. given #9591 (H,wt=32): 10164 K(x,y) * L(K(y,x) * z,K(x,y),u / K(x,y)) = K(x,y) * (u \ ((u / K(x,y)) * z)). [para(16(a,1),10104(a,2,2,1))]. given #9592 (H,wt=32): 10255 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(236,a,180,a(flip),b,10254,a)]. given #9593 (H,wt=25): 10476 T(x * L(K(y,z),u,w),K(y,v5)) = T(x,K(y,v5)) * L(K(y,z),u,w). [para(119(a,1),10255(a,1,1))]. given #9594 (H,wt=32): 10325 ((x \ K(x,y)) * T(z,(x \ 1) * K(x,y))) / ((x \ 1) * K(x,y)) = L(z,K(x,y),x \ 1). [hyper(74,a,10323,a(flip),b,606,a(flip))]. given #9595 (H,wt=30): 10477 ((x \ K(x,y)) * T(z,x \ K(x,y))) / ((x \ 1) * K(x,y)) = L(z,K(x,y),x \ 1). [para(4033(a,1),10325(a,1,1,2,2))]. given #9596 (H,wt=24): 10478 (x * (y \ K(y,z))) / ((y \ 1) * K(y,z)) = L(x,K(y,z),y \ 1). [para(119(a,1),10477(a,1,1))]. given #9597 (H,wt=22): 10479 (x * (y \ K(y,z))) / (y \ K(y,z)) = L(x,K(y,z),y \ 1). [para(4033(a,1),10478(a,1,2))]. given #9598 (H,wt=10): 10480 L(x,K(y,z),y \ 1) = x. [hyper(304,a,10479,a),flip(a)]. given #9599 (H,wt=22): 10482 L(x,K((y \ (y / z)) \ 1,u),y \ (y / ((z \ 1) \ 1))) = x. [para(2775(a,1),10480(a,1,3))]. given #9600 (H,wt=20): 10483 L(x,K((y / z) \ y,u),y \ (y / ((z \ 1) \ 1))) = x. [para(6269(a,1),10482(a,1,2))]. given #9601 (H,wt=16): 10484 L(x,K(y,z),u \ (u / ((y \ 1) \ 1))) = x. [para(65(a,1),10483(a,1,2,1))]. given #9602 (H,wt=12): 10485 L(x,K(y,z),u \ (u / y)) = x. [hyper(236,a,4683,a(flip),b,10484,a(flip)),flip(a)]. given #9603 (H,wt=23): 10487 ((x \ (x / y)) * K(y,z)) \ u = K(z,y) * ((x \ (x / y)) \ u). [hyper(236,a,5277,a(flip),b,10485,a(flip)),flip(a)]. given #9604 (H,wt=32): 10350 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(10349(a,1),9433(a,2,1))]. given #9605 (H,wt=30): 10488 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(10345(a,1),10350(a,1,2,1))]. given #9606 (H,wt=32): 10374 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(9420(a,1),10371(a,1,1))]. given #9607 (H,wt=32): 10471 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(7823,a,9777,a),flip(a)]. given #9608 (H,wt=27): 10492 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,u)). [hyper(236,a,9939,a(flip),b,10471,a)]. given #9609 (H,wt=25): 10494 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((L(x,y,z) * w) / u,x). [hyper(236,a,8068,a(flip),b,10492,a)]. given #9610 (H,wt=32): 10475 K(x,y) * L(K(y,x) * z,K(x,y),u * K(y,x)) = K(x,y) * (u \ ((u / K(x,y)) * z)). [para(7547(a,1),10164(a,1,2,3))]. given #9611 (H,wt=32): 10491 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(7256(a,2),10374(a,1,2,2,1))]. given #9612 (H,wt=32): 10495 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(5260(a,1),10491(a,1,2))]. given #9613 (H,wt=33): 5281 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(5260(a,1),3696(a,1,1))]. given #9614 (H,wt=33): 6650 (K(x,y) * (((1 / x) * z) * T(((1 / x) * z) \ z,u))) / (K(x,y) * z) = K((1 / x) \ 1,u). [para(6117(a,1),5680(a,2,1,1))]. given #9615 (H,wt=23): 10497 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K((1 / x) \ 1,z). [para(5463(a,1),6650(a,1,1,2))]. given #9616 (H,wt=19): 10498 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K(x,z). [hyper(236,a,661,a(flip),b,10497,a)]. given #9617 (H,wt=19): 10500 K(x,y) * (K(x,z) * u) = K(x,z) * (K(x,y) * u). [para(10498(a,1),16(a,1,1))]. given #9618 (H,wt=19): 10502 K(x,y) * (K(x,K(y,z)) * u) = K(x,T(y,z)) * u. [hyper(9157,a,10500,a),flip(a)]. given #9619 (H,wt=19): 10503 K(x,y) * (K(y,z) * (K(y,x) * u)) = K(y,z) * u. [hyper(5285,a,10500,a)]. given #9620 (H,wt=19): 10508 K(x,y) * (K(y,K(x,z)) * u) = K(x,T(y,z)) * u. [para(7919(a,1),10502(a,1,2,1))]. given #9621 (H,wt=19): 10510 K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u). [para(5268(a,1),10503(a,1,2,2)),flip(a)]. given #9622 (H,wt=19): 10511 K(x,K(y,z)) \ (K(y,x) \ u) = K(y,T(x,z)) \ u. [hyper(546,a,10508,a),flip(a)]. given #9623 (H,wt=19): 10512 K(x,T(y,z)) * (K(y,x) * u) = K(y,K(x,z)) * u. [hyper(236,a,10503,a(flip),b,10508,a(flip))]. given #9624 (H,wt=19): 10514 K(x,y) * (K(z,x) * (K(y,x) * u)) = K(z,x) * u. [para(5268(a,1),10510(a,2,2))]. given #9625 (H,wt=19): 10515 K(x,y) * (K(z,y) * u) = K(z,y) * (K(x,y) * u). [hyper(5285,a,10514,a)]. given #9626 (H,wt=21): 10513 T(x,y) \ (x * (K(x,z) * u)) = K(x,z) * (K(y,x) * u). [hyper(236,a,5203,a,b,10510,a),flip(a)]. given #9627 (H,wt=19): 10517 T(x,y) \ (T(x,z) * u) = K(x,z) * (K(y,x) * u). [para(4856(a,1),10513(a,1,2))]. given #9628 (H,wt=22): 10501 K(x,y) * (K(x,z) * u) != K(x,z) * w | K(x,y) * u = w. [para(10498(a,1),81(a,1,1)),flip(a),flip(b)]. given #9629 (H,wt=22): 10504 K(x,y) * (K(y,z) * (K(y,x) * u)) != w | K(y,z) * u = w. [para(10500(a,1),5271(a,1,2)),flip(b)]. given #9630 (H,wt=22): 10506 K(x,y) * (K(x,K(y,z)) * u) != w | K(x,T(y,z)) * u = w. [para(10500(a,1),9157(a,1))]. given #9631 (H,wt=22): 10518 K(x,y) * (K(z,x) * u) != w | K(z,x) * (K(x,y) * u) = w. [para(10513(a,1),5370(a,1))]. given #9632 (H,wt=22): 10519 K(x,y) * (K(y,z) * u) != w | K(y,z) * (K(x,y) * u) = w. [para(5268(a,1),10504(a,1,2,2))]. given #9633 (H,wt=23): 10505 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(z,K(x,y)) * w). [para(7923(a,2),10500(a,1,1))]. given #9634 (H,wt=23): 10520 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(x,K(y,z)) * w). [para(7923(a,2),10505(a,2,2,1))]. given #9635 (H,wt=23): 10521 K(x,y) * (K(z,K(u,x)) * (K(x,y) \ w)) = K(z,K(u,x)) * w. [hyper(307,a,10520,a),flip(a)]. given #9636 (H,wt=23): 10522 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ w)) = K(u,K(z,x)) * w. [para(7923(a,2),10521(a,1,2,1))]. given #9637 (H,wt=26): 10509 K(x,y) * (K(y,z) * (K(y,x) * u)) != w * v5 | (K(y,z) * u) / v5 = w. [para(10503(a,2),555(a,1))]. given #9638 (H,wt=33): 6908 ((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(4226(a,1),6907(a,1,1,2))]. given #9639 (H,wt=27): 10523 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x,y,x) * K(z,R(x,y,x)). [para(4226(a,1),6908(a,1,2))]. given #9640 (H,wt=24): 10524 ((K(R(x,y,x),z) / R(x,y,x)) * x) \ x = R(x * K(z,x),y,x). [hyper(236,a,5658,a(flip),b,10523,a)]. given #9641 (H,wt=21): 10525 ((K(x,y) / R(x,z,x)) * x) \ x = R(x * K(y,x),z,x). [para(7208(a,1),10524(a,1,1,1,1))]. given #9642 (H,wt=19): 10526 (R(x,y,x) \ T(x,z)) \ x = R(x * K(z,x),y,x). [para(6866(a,1),10525(a,1,1))]. given #9643 (H,wt=19): 10528 (x \ L(T(x,y),z,x)) \ x = R(x * K(y,x),z,x). [para(9599(a,1),10526(a,1,1))]. given #9644 (H,wt=33): 8376 (((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(8371(a,1),814(a,1,1,2)),flip(a)]. given #9645 (H,wt=33): 8984 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(6249(a,2),8551(a,2,2,2)),flip(a)]. given #9646 (H,wt=28): 10530 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ 1). [hyper(236,a,10244,a(flip),b,8984,a)]. given #9647 (H,wt=26): 10532 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(236,a,6408,a(flip),b,10530,a)]. given #9648 (H,wt=24): 10533 K(L(x,y,z),u \ (x * L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [para(6249(a,1),10532(a,1,2,2))]. given #9649 (H,wt=33): 9786 K(x,y \ 1) * T((x \ (y \ x)) * z,K(y \ x,x)) = ((y \ x) / x) * T(z,K(y \ x,x)). [para(9785(a,2),5780(a,1,2))]. given #9650 (H,wt=31): 10534 K(x,y \ 1) * T((x \ (y \ x)) * z,K(x,y)) = ((y \ x) / x) * T(z,K(y \ x,x)). [para(9320(a,1),9786(a,1,2))]. given #9651 (H,wt=31): 10535 T(K(x,y \ 1) * ((x \ (y \ x)) * z),K(x,y)) = ((y \ x) / x) * T(z,K(y \ x,x)). [hyper(236,a,8935,a,b,10534,a(flip)),flip(a)]. given #9652 (H,wt=25): 10536 ((x \ y) / y) * T(z,K(x \ y,y)) = T(((x \ y) / y) * z,K(y,x)). [para(5780(a,1),10535(a,1,1)),flip(a)]. given #9653 (H,wt=23): 10537 T(((x \ y) / y) * z,K(y,x)) = ((x \ y) / y) * T(z,K(y,x)). [para(9320(a,1),10536(a,1,2)),flip(a)]. given #9654 (H,wt=27): 10538 T((((x / y) \ x) / x) * z,K(x,x / y)) = (y / x) * T(z,K(x,x / y)). [para(65(a,1),10537(a,2,1,1))]. given #9655 (H,wt=25): 10539 T((((x / y) \ x) / x) * z,K(x,x / y)) = (y / x) * T(z,K(y,x)). [para(9324(a,1),10538(a,2,2))]. given #9656 (H,wt=21): 10540 T((x / y) * z,K(y,y / x)) = (x / y) * T(z,K(x,y)). [para(65(a,1),10539(a,1,1,1,1))]. given #9657 (H,wt=22): 10541 (x / y) * T(z,K(x,y)) != u | T((x / y) * z,K(x,y)) = u. [para(10540(a,1),9366(a,1))]. given #9658 (H,wt=33): 9880 K(x,T(y / ((K(x,z) * u) * w),v5)) = ((v5 * x) / v5) / ((v5 * (x * K(y / (u * w),x))) / v5). [para(9871(a,1),9124(a,1,2,1,2,2)),flip(a)]. given #9659 (H,wt=23): 10542 K(x,T(y / ((K(x,z) * u) * w),v5)) = K(x,T(y / (u * w),v5)). [hyper(236,a,9124,a(flip),b,9880,a)]. given #9660 (H,wt=25): 10543 K(x,T(y / ((z * T(x,u)) * w),v5)) = K(x,T(y / ((z * x) * w),v5)). [para(8156(a,1),10542(a,1,2,1,2,1))]. given #9661 (H,wt=33): 9941 K(x,a(y,z,u)) * K(x,K(a(y,z,u),y * (z * u))) = K(x,((y * z) * u) / (y * (z * u))). [hyper(236,a,7883,a,b,8132,a),flip(a)]. given #9662 (H,wt=33): 10102 T((x / (1 / (x \ y))) / x,K(y,x / y) / (x \ y)) = (((x / (1 / (x \ y))) / x) \ 1) \ 1. [para(10101(a,2),2145(a,1,2))]. given #9663 (H,wt=29): 10544 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (((x / (1 / (x \ y))) / x) \ 1) \ 1. [hyper(236,a,9557,a(flip),b,10102,a(flip)),flip(a)]. given #9664 (H,wt=29): 10545 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (1 / ((x / ((x \ y) \ 1)) / x)) \ 1. [para(2774(a,2),10544(a,2,1))]. given #9665 (H,wt=25): 10546 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (x / ((x \ y) \ 1)) / x. [hyper(236,a,65,a(flip),b,10545,a)]. given #9666 (H,wt=19): 10549 (x / ((x \ y) \ 1)) / x = x \ (x / ((y / x) \ 1)). [hyper(236,a,7029,a(flip),b,10546,a(flip))]. given #9667 (H,wt=19): 10550 x * ((x / ((x \ y) \ 1)) / x) = x / ((y / x) \ 1). [para(10549(a,2),14(a,1,2))]. given #9668 (H,wt=28): 10547 T((x / (1 / (x \ y))) / x,1 / (y / x)) != z | (x / ((x \ y) \ 1)) / x = z. [para(10545(a,2),282(a,1)),flip(b)]. given #9669 (H,wt=33): 10529 (((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(7773(a,1),8376(a,2,1))]. given #9670 (H,wt=33): 10551 (((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(236,a,7547,a(flip),b,10529,a)]. given #9671 (H,wt=33): 10552 ((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(7773(a,1),10551(a,1,1,1))]. given #9672 (H,wt=33): 10553 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(1991(a,2),10552(a,1,1))]. given #9673 (H,wt=33): 10554 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(3138(a,1),10553(a,1,1,1,1,2))]. given #9674 (H,wt=25): 10555 R((x * y) / x,z,u) * x = (x * (K(w,y) * R(y,z,u))) * K(y,w). [para(9497(a,1),10554(a,1,1,1))]. given #9675 (H,wt=21): 10556 (x * (K(y,z) * R(z,u,w))) * K(z,y) = x * R(z,u,w). [hyper(839,a,10555,a),flip(a)]. given #9676 (H,wt=21): 10558 (x * (R(y,z,u) * K(w,y))) * K(y,w) = x * R(y,z,u). [para(3147(a,2),10556(a,1,1,2))]. given #9677 (H,wt=13): 10559 L(K(x,y),R(x,z,u),w) = K(x,y). [hyper(8807,a,10558,a)]. given #9678 (H,wt=34): 3862 (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) != w | ((x * ((u / z) / x)) * z) * (u \ y) = w. [para(3730(a,1),225(a,1))]. given #9679 (H,wt=34): 4600 (x * ((K(y,y \ 1) * z) * u)) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). [para(4586(a,2),24(a,2,2,1)),flip(a)]. given #9680 (H,wt=34): 4708 ((x * (y * (z * K(u \ 1,u)))) \ ((x * y) * z)) * K(u \ 1,u) = a(x,y,z * K(u \ 1,u)). [hyper(2566,a,4595,a),flip(a)]. given #9681 (H,wt=34): 4713 ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,K(z,z \ 1) * u). [hyper(679,a,4601,a),flip(a)]. given #9682 (H,wt=34): 5541 K(x,(y * z) / (y * (u \ z))) * ((y * (u \ z)) * T(L(T(u,u \ z),u \ z,y),x)) = y * z. [para(269(a,2),5369(a,1,2,2,1))]. given #9683 (H,wt=29): 10561 K(x,(y * z) / (y * (u \ z))) * (y * ((u \ z) * T(T(u,u \ z),x))) = y * z. [para(442(a,1),5541(a,1,2))]. given #9684 (H,wt=25): 10562 K(x,(y * z) / (y * (u \ z))) * (y * (T(u,x) * (u \ z))) = y * z. [para(180(a,1),10561(a,1,2,2))]. given #9685 (H,wt=23): 10563 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. [para(4857(a,1),10562(a,1,2,2))]. given #9686 (H,wt=19): 10568 K(x,(y * (K(z,x) * u)) \ w) = K(x,(y * u) \ w). [para(10563(a,1),8820(a,1,2,1)),flip(a)]. given #9687 (H,wt=19): 10569 K(x,y \ (z * (K(u,x) * w))) = K(x,y \ (z * w)). [para(10563(a,1),8830(a,1,2,2)),flip(a)]. given #9688 (H,wt=19): 10574 K(x,y \ (z * (u / x))) = K(x,y \ (z * (x \ u))). [para(4968(a,1),10569(a,1,2,2,2)),flip(a)]. given #9689 (H,wt=21): 10565 K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w. [para(1490(a,1),10563(a,1,1,2))]. given #9690 (H,wt=21): 10570 R(K(x,y),z * (K(u,y) * w),v5) = R(K(x,y),z * w,v5). [para(10563(a,1),8917(a,1,2)),flip(a)]. given #9691 (H,wt=19): 10578 R(K(x,y),z * x,u) = K(R(x,K(w,y) * z,u),y). [hyper(236,a,10387,a(flip),b,10570,a(flip))]. given #9692 (H,wt=17): 10580 K(R(x,K(y,z) * u,w),z) = K(R(x,u,w),z). [hyper(236,a,9458,a(flip),b,10578,a(flip))]. given #9693 (H,wt=18): 10581 R(K(x,y),z * x,u) != w | K(R(x,z,u),y) = w. [para(10578(a,2),9521(a,1))]. given #9694 (H,wt=16): 10583 K(x,R(y,x,z)) != u | K(R(x,y,z),y) = u. [para(6824(a,1),10581(a,1))]. given #9695 (H,wt=21): 10571 R(K(x,y),z * (K(u,x) * w),v5) = R(K(x,y),z * w,v5). [para(10563(a,1),9525(a,1,2)),flip(a)]. given #9696 (H,wt=21): 10576 R(x,y,z) * (K(x,u) * w) = K(x,u) * (R(x,y,z) * w). [hyper(5285,a,10565,a),flip(a)]. given #9697 (H,wt=19): 10585 K(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ K(x,y). [hyper(72,a,56,a(flip),b,10576,a),flip(a)]. given #9698 (H,wt=21): 10577 R(x,y,z) * (K(u,x) * w) = K(u,x) * (R(x,y,z) * w). [para(5268(a,1),10565(a,1,2,2)),flip(a)]. given #9699 (H,wt=13): 10588 R(K(x,y),R(y,z,u),w) = K(x,y). [hyper(6052,a,10577,a)]. given #9700 (H,wt=17): 10590 R(K(x,y),R(x,z,u),w) = (v5 * K(y,x)) \ v5. [para(10588(a,1),8591(a,1,1,2)),flip(a)]. given #9701 (H,wt=13): 10591 R(K(x,y),R(x,z,u),w) = K(x,y). [hyper(236,a,7647,a(flip),b,10590,a)]. given #9702 (H,wt=21): 10582 T(x,R(y,K(z,x) * u,w)) = 1 / (x \ K(R(y,u,w),x)). [para(10580(a,1),5013(a,2,2,2))]. given #9703 (H,wt=20): 10593 T(x,R(y,K(z,x) * u,w)) != v5 | T(x,R(y,u,w)) = v5. [para(10582(a,2),5014(a,1))]. given #9704 (H,wt=21): 10584 R(K(x,y),z * (u * K(w,x)),v5) = R(K(x,y),z * u,v5). [para(7337(a,1),10571(a,1,2,2))]. given #9705 (H,wt=19): 10594 R(K(x,y),z * y,u) = K(x,R(y * K(w,x),z,u)). [hyper(236,a,9517,a(flip),b,10584,a(flip))]. given #9706 (H,wt=17): 10596 K(x,R(y * K(z,x),u,w)) = K(x,R(y,u,w)). [hyper(236,a,9515,a(flip),b,10594,a(flip))]. given #9707 (H,wt=17): 10597 K(x,R(y * K(x,z),u,w)) = K(x,R(y,u,w)). [para(7540(a,1),10596(a,1,2,1)),flip(a)]. given #9708 (H,wt=21): 10592 K(x,(R(x,y,z) * u) / w) = K(x,R(x,y,z) / (w / u)). [hyper(236,a,6812,a(flip),b,10591,a(flip)),flip(a)]. given #9709 (H,wt=21): 10598 K(x,R(K(y,x) * z,u,w)) = K(x,R(z * K(y,x),u,w)). [para(7891(a,1),10597(a,1,2,1)),flip(a)]. given #9710 (H,wt=21): 10599 K(x,R(K(y,x) * z,u,w)) = K(x,R(z,K(y,x) * u,w)). [hyper(236,a,10390,a(flip),b,10598,a)]. given #9711 (H,wt=23): 10566 K((x * y) / (x * (z \ y)),u) = (x * (K(z,u) * y)) / (x * y). [para(10563(a,1),5266(a,1,2)),flip(a)]. given #9712 (H,wt=23): 10572 K(x,y / ((z * (K(u,x) * w)) * v5)) = K(x,y / ((z * w) * v5)). [para(10563(a,1),9873(a,1,2,2,1)),flip(a)]. given #9713 (H,wt=23): 10600 x * K(x,R(y,K(z,x) * u,w)) = T(x,R(K(z,x) * y,u,w)). [para(10599(a,1),4887(a,2,2)),flip(a)]. given #9714 (H,wt=21): 10602 T(x,R(K(y,x) * z,u,w)) = T(x,R(z,K(y,x) * u,w)). [hyper(4890,a,10600,a),flip(a)]. given #9715 (H,wt=23): 10603 T(x,R(x \ y,K(z,x) * u,w)) = T(x,R(T(x,z) \ y,u,w)). [para(5204(a,1),10602(a,1,2,1)),flip(a)]. given #9716 (H,wt=19): 10604 T(x,R(T(x,y) \ z,u,w)) = T(x,R(x \ z,u,w)). [hyper(10593,a,10603,a),flip(a)]. given #9717 (H,wt=19): 10606 T(x,R(y / T(x,z),u,w)) = T(x,R(x \ y,u,w)). [hyper(7150,a,10604,a)]. given #9718 (H,wt=24): 10601 L(K(x,T(T(y,z),u * z)),z,u) = K((u * z) / (u * (x \ z)),y). [hyper(236,a,9151,a,b,10566,a),flip(a)]. given #9719 (H,wt=23): 10607 K((x * y) / (x * (z \ y)),u) = (x * y) / (x * (K(u,z) * y)). [hyper(236,a,10166,a(flip),b,10601,a(flip))]. given #9720 (H,wt=25): 10589 R(x,y,x) * (K(z,x) * (x \ u)) = K(z,x) * ((u / x) * R(x,y,x)). [para(8360(a,1),10577(a,2,2))]. given #9721 (H,wt=23): 10608 K(x,y) * ((z / y) * R(y,u,y)) = R(y,u,y) * (T(y,x) \ z). [para(5204(a,1),10589(a,1,2)),flip(a)]. given #9722 (H,wt=26): 10564 (x * y) / (x * (K(z,u) * y)) != w | K(u,(x * y) / (x * (z \ y))) = w. [para(10563(a,1),296(a,1,1)),flip(b)]. given #9723 (H,wt=23): 10609 K((x * y) / (x * (z \ y)),u) = K(z,(x * y) / (x * (u \ y))). [hyper(10564,a,10607,a(flip)),flip(a)]. given #9724 (H,wt=23): 10610 K(x,(y * z) / (y * (u \ z))) = (y * (K(x,u) * z)) / (y * z). [hyper(236,a,10566,a(flip),b,10609,a(flip))]. given #9725 (H,wt=23): 10612 K(x,(y * z) / (y * (u \ z))) * (y * z) = y * (K(x,u) * z). [para(10610(a,2),16(a,1,1))]. given #9726 (H,wt=24): 10611 K(x,((y * x) * z) / ((y * x) * (y \ z))) = L(K(x,y),z,y * x). [hyper(236,a,10158,a(flip),b,10610,a)]. given #9727 (H,wt=26): 10567 (x * (K(y,z) * u)) / (x * u) != w | K((x * u) / (x * (y \ u)),z) = w. [para(10563(a,1),5272(a,1,2))]. given #9728 (H,wt=26): 10587 R(x,y,z) \ K(x,u) != w * v5 | w \ (K(x,u) * (R(x,y,z) \ 1)) = v5. [para(10585(a,1),545(a,1))]. given #9729 (H,wt=26): 10613 (x * (K(y,z) * u)) / (x * u) != w | K(y,(x * u) / (x * (z \ u))) = w. [para(10612(a,1),296(a,1,1)),flip(b)]. given #9730 (H,wt=27): 10614 L(K(x,T(T(y,z),u * z)),z,u) != w | K((u * z) / (u * (x \ z)),y) = w. [para(9151(a,2),10567(a,1))]. given #9731 (H,wt=31): 10573 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(440(a,1),10569(a,1,2))]. given #9732 (H,wt=26): 10615 K(x,(y * (K(z,x) * u)) \ (y * (u * w))) = K(x,L(w,K(z,x) * u,y)). [hyper(236,a,7423,a(flip),b,10573,a(flip))]. given #9733 (H,wt=22): 10617 K(x,L(y,K(z,x) * u,w)) = K(x,(w * u) \ (w * (u * y))). [hyper(236,a,10568,a(flip),b,10615,a(flip))]. given #9734 (H,wt=17): 10619 K(x,L(y,K(z,x) * u,w)) = K(x,L(y,u,w)). [para(28(a,2),10617(a,2,2))]. given #9735 (H,wt=17): 10620 K(x,L(y,K(x,z) \ u,w)) = K(x,L(y,u,w)). [para(5260(a,2),10619(a,1,2,2))]. given #9736 (H,wt=17): 10621 K(x,L(y,K(x,z) * u,w)) = K(x,L(y,u,w)). [para(5268(a,1),10619(a,1,2,2)),flip(a)]. given #9737 (H,wt=23): 10622 K(L(x,K(y,z) * u,w),y) = (y \ 1) / (y \ K(y,L(x,u,w))). [para(10621(a,1),5262(a,1,2,2)),flip(a)]. given #9738 (H,wt=17): 10623 K(L(x,K(y,z) * u,w),y) = K(L(x,u,w),y). [hyper(236,a,5262,a(flip),b,10622,a)]. given #9739 (H,wt=15): 10624 K(L(x,T(y,z),u),z) = K(L(x,y,u),z). [para(4845(a,1),10623(a,1,1,2)),flip(a)]. given #9740 (H,wt=22): 10625 K(x,L(R(y,x \ z,y),z,u)) = K(L(x,y * (x \ z),u),y). [hyper(236,a,10429,a(flip),b,10624,a(flip)),flip(a)]. given #9741 (H,wt=31): 10575 K(x,(y * (z * (u / x))) \ (z * (x \ u))) = K(x,(z * (u / x)) \ (y \ (z * (u / x)))). [hyper(236,a,7696,a(flip),b,10574,a(flip))]. given #9742 (H,wt=31): 10626 K(x,(y * (z / x)) \ (u \ (y * (z / x)))) = K(x,(u * (y * z)) \ ((y * (x \ z)) * x)). [hyper(236,a,10163,a(flip),b,10575,a(flip))]. given #9743 (H,wt=27): 10627 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * (u / x))). [hyper(7828,a,10626,a),flip(a)]. given #9744 (H,wt=25): 10628 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * u)). [hyper(236,a,9444,a(flip),b,10627,a)]. given #9745 (H,wt=25): 10629 K(x,T((y / (z * u)) \ 1,z * u)) = K(x,y \ ((z * (x \ u)) * x)). [para(16(a,1),10628(a,1,2,1)),flip(a)]. given #9746 (H,wt=21): 10630 K(x,y \ ((z * (x \ u)) * x)) = K(x,((z * u) \ y) \ 1). [hyper(236,a,7350,a(flip),b,10629,a(flip))]. given #9747 (H,wt=19): 10631 K(x,y \ ((z * (x \ u)) * x)) = K(x,y \ (z * u)). [hyper(236,a,6408,a(flip),b,10630,a)]. given #9748 (H,wt=15): 10632 K(x,x \ (y * z)) = K(x,y * (x \ z)). [hyper(5139,a,10631,a),flip(a)]. given #9749 (H,wt=15): 10633 K(x,y \ ((x \ y) * z)) = K(x,x \ z). [hyper(236,a,8845,a(flip),b,10631,a(flip))]. given #9750 (H,wt=15): 10635 K(x,x \ (y * z)) = K(x,y * (z / x)). [hyper(236,a,7468,a,b,10632,a)]. given #9751 (H,wt=15): 10639 K(x,x \ ((x \ y) \ z)) = K(x,y \ z). [para(14(a,1),10633(a,1,2,2)),flip(a)]. given #9752 (H,wt=15): 10640 K(x,x \ (y * (z * x))) = K(x,y * z). [para(15(a,1),10635(a,2,2,2))]. given #9753 (H,wt=16): 10638 L(K(x,x \ y),y,x \ z) = K(x,x \ y). [hyper(8825,a,10633,a)]. given #9754 (H,wt=14): 10642 L(K(x,x \ y),y,z) = K(x,x \ y). [para(13(a,1),10638(a,1,3))]. given #9755 (H,wt=10): 10646 a(x,y,K(z \ y,z)) = 1. [hyper(71,a,10642,a(flip),b,10179,a),flip(a)]. given #9756 (H,wt=14): 10647 L(K(x \ y,x),y,z) = K(x \ y,x). [hyper(33,a,10646,a)]. given #9757 (H,wt=15): 10643 K(x,(y * x) \ z) = K(x,x \ (y \ z)). [hyper(9929,a,10642,a)]. given #9758 (H,wt=15): 10644 K(x,y \ (x \ z)) = K(x,x \ (y \ z)). [hyper(9165,a,10642,a)]. given #9759 (H,wt=15): 10648 K(x \ (y \ (x * z)),y) = K(y \ z,y). [hyper(8569,a,10647,a)]. given #9760 (H,wt=15): 10649 K((x * y) \ z,y) = K(y \ (x \ z),y). [hyper(6731,a,10647,a)]. given #9761 (H,wt=15): 10655 K(x,x \ (y \ (x * z))) = K(x,y \ z). [para(13(a,1),10644(a,1,2,2)),flip(a)]. given #9762 (H,wt=15): 10656 K(x,y \ (x \ (y * z))) = K(x,x \ z). [para(13(a,1),10644(a,2,2,2))]. given #9763 (H,wt=15): 10658 K(x \ (y \ z),y) = K(y \ (x \ z),y). [para(14(a,1),10648(a,1,1,2,2))]. given #9764 (H,wt=15): 10660 K((x * y) \ z,x) = K(x \ (y \ z),x). [hyper(236,a,6511,a(flip),b,10649,a(flip)),flip(a)]. given #9765 (H,wt=15): 10661 K(x \ ((y / x) \ z),x) = K(y \ z,x). [para(16(a,1),10649(a,1,1,1)),flip(a)]. given #9766 (H,wt=15): 10663 K(x \ ((x \ y) \ z),x) = K(y \ z,x). [hyper(236,a,8379,a(flip),b,10658,a(flip))]. given #9767 (H,wt=17): 10636 x * K(x,y * (x \ z)) = T(x,x \ (y * z)). [para(10632(a,1),4887(a,2,2)),flip(a)]. given #9768 (H,wt=15): 10667 T(x,x \ (y * z)) = T(x,y * (x \ z)). [hyper(4890,a,10636,a),flip(a)]. given #9769 (H,wt=17): 10641 K(x,K(y,z * (u * y))) = K(x,K(y,z * u)). [para(10640(a,1),9208(a,1,2)),flip(a)]. given #9770 (H,wt=17): 10653 K(x \ y,x) != z | L(K(x \ y,x),y,u) = z. [para(10647(a,1),7388(a,1))]. given #9771 (H,wt=17): 10659 (x * y) * K(z \ y,z) = x * ((z \ y) * z). [para(10648(a,1),8668(a,1,2))]. given #9772 (H,wt=10): 10670 R(x,y,K(z \ y,z)) = x. [hyper(792,a,10659,a)]. given #9773 (H,wt=10): 10674 R(x,y * z,K(z,y)) = x. [para(13(a,1),10670(a,1,3,1))]. given #9774 (H,wt=11): 10675 R(x,y,T(z,y)) = R(x,y,z). [hyper(6769,a,10674,a)]. given #9775 (H,wt=13): 10673 R(x,y / z,z) = R(x,z \ y,z). [hyper(236,a,10364,a(flip),b,10670,a(flip))]. given #9776 (H,wt=13): 10679 R(x,y,z / y) = R(x,y,y \ z). [para(121(a,1),10675(a,1,3)),flip(a)]. given #9777 (H,wt=13): 10683 R(x,y,z * K(y,z)) = R(x,y,z). [para(4853(a,1),10675(a,1,3)),flip(a)]. given #9778 (H,wt=11): 10690 R(x,T(y,z),z) = R(x,y,z). [hyper(9150,a,10683,a)]. given #9779 (H,wt=15): 10676 (x * (y * z)) * K(z,y) = x * (z * y). [para(10674(a,1),474(a,1,1)),flip(a)]. given #9780 (H,wt=10): 10692 K(x,L(y,x,z)) = K(x,y). [hyper(8518,a,10676,a)]. given #9781 (H,wt=10): 10696 K(L(x,y,z),y) = K(x,y). [hyper(236,a,8909,a,b,10692,a(flip)),flip(a)]. given #9782 (H,wt=12): 10698 L(K(x,y),z,y * x) = K(x,y). [hyper(236,a,10442,a(flip),b,10692,a(flip)),flip(a)]. given #9783 (H,wt=12): 10699 T(x,L(y,x,z)) = x * K(x,y). [para(10692(a,1),4887(a,2,2))]. given #9784 (H,wt=10): 10711 T(x,L(y,x,z)) = T(x,y). [hyper(236,a,4887,a,b,10699,a)]. given #9785 (H,wt=12): 10706 K(L(x,y,z),y) = y / T(y,x). [hyper(236,a,4826,a(flip),b,10696,a)]. given #9786 (H,wt=13): 10712 T(x,L(y,x,z)) != u | T(x,y) = u. [para(10699(a,2),4890(a,1))]. given #9787 (H,wt=13): 10720 K(L(x,y,z),y) != u | K(x,y) = u. [para(10706(a,2),4928(a,1))]. given #9788 (H,wt=13): 10721 K(x,L(y,x,z)) != u | K(x,y) = u. [para(8909(a,1),10720(a,1))]. given #9789 (H,wt=15): 10684 R(x,y,K(z,T(u,y))) = R(x,y,K(z,u)). [para(7256(a,2),10675(a,1,3))]. given #9790 (H,wt=15): 10693 (x / (y * z)) * (z * y) = x * K(z,y). [hyper(303,a,10676,a),flip(a)]. given #9791 (H,wt=15): 10713 T(x,y \ (x \ (y * z))) = T(x,x \ z). [hyper(236,a,8857,a(flip),b,10711,a(flip)),flip(a)]. given #9792 (H,wt=15): 10714 L(x,y,z) * T(y,x) = y * L(x,y,z). [para(10711(a,1),119(a,1,2))]. given #9793 (H,wt=15): 10723 L(K(x,y),z,y * x) != u | K(x,y) = u. [para(10442(a,1),10721(a,1))]. given #9794 (H,wt=16): 10678 (x * T(y,z)) / (y * z) = R(x / z,z,y). [hyper(236,a,486,a(flip),b,10675,a(flip)),flip(a)]. given #9795 (H,wt=16): 10681 R(x,y,z) * (z * y) = (x * y) * T(z,y). [para(10675(a,1),465(a,1,1))]. given #9796 (H,wt=16): 10701 (x * y) * K(y,L(z,y,u)) = x * T(y,z). [para(10692(a,2),6201(a,1,2))]. given #9797 (H,wt=16): 10702 K(L(x,y,z),T(y,u)) = (K(y,x) * u) \ u. [para(10692(a,1),7591(a,1,1,1)),flip(a)]. given #9798 (H,wt=17): 10662 (x * y) * K(z,z \ y) = x * (z * (y / z)). [para(10656(a,1),8660(a,1,2))]. given #9799 (H,wt=17): 10680 R(x,y \ z,(y \ z) \ z) = R(x,y \ z,y). [para(120(a,1),10675(a,1,3))]. given #9800 (H,wt=17): 10730 K(L(x,y,z),T(y,u)) != w | K(x,T(y,u)) = w. [para(10702(a,2),7610(a,1))]. given #9801 (H,wt=18): 10634 K(x,x \ (y * z)) != u | K(x,y * (x \ z)) = u. [para(10631(a,1),5139(a,1))]. given #9802 (H,wt=18): 10657 L(K(x \ y,x),y,z) = K(u \ (x \ (u * y)),x). [hyper(236,a,10647,a,b,10648,a),flip(a)]. given #9803 (H,wt=18): 10694 (x * (y * z)) \ (x * (z * y)) != u | K(z,y) = u. [para(10676(a,1),283(a,1,2)),flip(b)]. given #9804 (H,wt=18): 10719 L(x,y,z) = (z * T(y,x)) \ (z * (T(y,x) * x)). [para(10711(a,1),10051(a,1,1,2)),flip(a)]. given #9805 (H,wt=11): 10734 L(x,T(y,x),z) = L(x,y,z). [hyper(236,a,28,a,b,10719,a),flip(a)]. given #9806 (H,wt=13): 10736 L(x,y / x,z) = L(x,x \ y,z). [para(121(a,1),10734(a,1,2)),flip(a)]. given #9807 (H,wt=16): 10740 (x * y) / L(z,z \ y,x) = x * (y / z). [para(10736(a,1),494(a,1,2))]. given #9808 (H,wt=18): 10722 L(K(x,y),z * x,u) != w | K(L(x,z,u),y) = w. [para(8288(a,1),10721(a,1))]. given #9809 (H,wt=16): 10743 K(x,L(y,x,z)) != u | K(L(x,y,z),y) = u. [para(8970(a,1),10722(a,1))]. given #9810 (H,wt=18): 10733 K(x \ (y \ (x * z)),y) != u | K(y \ z,y) = u. [para(10657(a,1),323(a,1)),flip(b)]. given #9811 (H,wt=18): 10739 L(x,x \ (y \ z),y) = (y * ((y \ z) / x)) \ z. [hyper(236,a,511,a(flip),b,10736,a(flip))]. given #9812 (H,wt=18): 10741 K(L(x,x \ y,z),u) != w | L(K(x,u),y,z) = w. [para(10736(a,1),6617(a,1,1))]. given #9813 (H,wt=19): 10637 (x * K(y,z * (y \ u))) \ x = K(y \ (z * u),y). [para(10632(a,1),7549(a,1,1,2))]. given #9814 (H,wt=15): 10745 K(x \ (y * z),x) = K(y * (x \ z),x). [hyper(7836,a,10637,a),flip(a)]. given #9815 (H,wt=15): 10747 K(x \ (y * (x * z)),x) = K(y * z,x). [para(13(a,1),10745(a,2,1,2))]. given #9816 (H,wt=15): 10748 K(x * (y \ (x \ z)),y) = K(y \ z,y). [para(14(a,1),10745(a,1,1,2)),flip(a)]. given #9817 (H,wt=18): 10746 K(x \ (y * z),x) != u | K(y * (x \ z),x) = u. [para(10637(a,1),7560(a,1))]. given #9818 (H,wt=19): 10645 K(x \ y,(x \ y) \ z) = K(x \ y,y \ (x * z)). [hyper(236,a,6595,a(flip),b,10642,a(flip))]. given #9819 (H,wt=19): 10652 K((x \ y) \ z,x \ y) = K(y \ (x * z),x \ y). [hyper(236,a,6568,a(flip),b,10647,a(flip))]. given #9820 (H,wt=19): 10654 K(x,x \ ((y * (x \ z)) \ u)) = K(x,(y * z) \ u). [hyper(236,a,10008,a(flip),b,10644,a(flip))]. given #9821 (H,wt=19): 10665 K((x \ y) \ z,y / x) = K(y \ (x * z),y / x). [para(5765(a,1),10661(a,1,1))]. given #9822 (H,wt=19): 10669 K(x,K(y / z,u * z)) = K(x,K(y / z,u * y)). [para(7687(a,1),10641(a,1,2)),flip(a)]. given #9823 (H,wt=19): 10671 (x * (y * z)) * K(y,z) = x * ((z \ (y * z)) * z). [para(4996(a,1),10659(a,1,2))]. given #9824 (H,wt=17): 10758 (x * (y * z)) * K(y,z) = x * (T(y,z) * z). [para(32(a,2),10671(a,2,2,1))]. given #9825 (H,wt=19): 10710 K(x,y) * ((y * x) * z) = (y * x) * (K(x,y) * z). [para(10698(a,1),10157(a,1,1))]. given #9826 (H,wt=19): 10717 T(x \ y,(x \ y) \ z) = T(x \ y,y \ (x * z)). [para(450(a,1),10711(a,1,2)),flip(a)]. given #9827 (H,wt=19): 10750 K((x / y) \ z,y \ x) = K(x \ (y * z),y \ x). [hyper(7512,a,10652,a)]. given #9828 (H,wt=19): 10757 K((x / y) \ z,x / y) = K(x \ (y * z),x / y). [hyper(7834,a,10665,a)]. given #9829 (H,wt=19): 10760 (x * y) \ (K(y,x) * z) = K(y,x) * ((x * y) \ z). [hyper(551,a,10710,a)]. given #9830 (H,wt=19): 10762 T(x \ y,(y / x) \ z) = T(x \ y,y \ (x * z)). [hyper(8621,a,10717,a)]. given #9831 (H,wt=20): 10687 R(K(x,(y / z) / u),z \ y,z) = K(x,y / (u * z)). [hyper(236,a,6811,a(flip),b,10673,a(flip))]. given #9832 (H,wt=20): 10703 L(K(x,y),T(y,z) * u,w) = K(L(x,y,v5),L(y,u,w)). [para(10692(a,1),9110(a,1,1))]. given #9833 (H,wt=16): 10765 K(L(x,y,z),L(y,u,w)) = K(x,L(y,u,w)). [hyper(236,a,9108,a(flip),b,10703,a(flip))]. given #9834 (H,wt=20): 10726 R(x / (y \ z),y \ z,y) = (x * T(y,y \ z)) / z. [para(14(a,1),10678(a,1,2)),flip(a)]. given #9835 (H,wt=20): 10727 R(R(x,y,x) / x,x,z) = (z * R(x,y,x)) / (z * x). [para(8312(a,1),10678(a,1,1)),flip(a)]. given #9836 (H,wt=18): 10770 (x * R(y,z,y)) / (x * y) = R(a(y,z,y),y,x). [para(9041(a,1),10727(a,1,1)),flip(a)]. given #9837 (H,wt=20): 10732 K((x * y) / (x * z),z) != u | K(z \ y,T(z,x)) = u. [para(9152(a,1),10730(a,1))]. given #9838 (H,wt=20): 10766 L(K(x,y),T(y,z) * u,w) != v5 | K(x,L(y,u,w)) = v5. [para(10703(a,2),8341(a,1))]. given #9839 (H,wt=18): 10771 L(K(x,y),y * z,u) != w | K(x,L(y,z,u)) = w. [para(118(a,1),10766(a,1,2,1))]. given #9840 (H,wt=18): 10772 L(K(x,y),z,u) != w | K(x,L(y,y \ z,u)) = w. [para(14(a,1),10771(a,1,2))]. given #9841 (H,wt=20): 10773 L(K(x,y / z),y,u) != w | K(x,L(y / z,z,u)) = w. [para(16(a,1),10771(a,1,2))]. given #9842 (H,wt=21): 10749 x * K(y \ z,z \ (y * x)) = (y \ z) * (x / (y \ z)). [para(10645(a,1),5079(a,1,2))]. given #9843 (H,wt=21): 10753 x * K(y \ (z * x),z \ y) = ((z \ y) \ x) * (z \ y). [para(10652(a,1),249(a,1,2))]. given #9844 (H,wt=21): 10768 K(x \ (y \ (x * z)),L(y,u,w)) = K(y \ z,L(y,u,w)). [hyper(236,a,10116,a(flip),b,10765,a(flip)),flip(a)]. given #9845 (H,wt=22): 10744 K(L(x,T(x,y) \ 1,z),u) != w | L(K(x,u),K(y,x),z) = w. [para(4833(a,2),10741(a,1,1,2))]. given #9846 (H,wt=23): 10691 R(x,T(K(y,z),u),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(8720(a,1),10690(a,1,2))]. given #9847 (H,wt=23): 10777 R(x,K(y,T(z,u)),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(7256(a,2),10691(a,1,2))]. given #9848 (H,wt=24): 10685 a(x,y * K(L(x,z,u),y),L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(10675(a,1),10260(a,2,2))]. given #9849 (H,wt=22): 10779 a(x,y * K(L(x,z,u),y),L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(236,a,10257,a(flip),b,10685,a)]. given #9850 (H,wt=17): 10780 a(x,y,T(L(x,z,u),y)) = a(x,y,L(x,z,u)). [hyper(9719,a,10779,a)]. given #9851 (H,wt=17): 10781 a(x,y,L(T(x,y),z,u)) = a(x,y,L(x,z,u)). [para(40(a,2),10780(a,1,3))]. given #9852 (H,wt=24): 10742 (x * y) / L(z,z \ (y * x),K(x,y)) = K(x,y) * ((y * x) / z). [para(4817(a,1),10740(a,1,1))]. given #9853 (H,wt=24): 10764 R(K(x,(y / (z / u)) \ x),u \ z,u) = K(x,z / ((x \ y) * u)). [para(9734(a,1),10687(a,1,1))]. given #9854 (H,wt=25): 10751 K(((x \ y) \ y) \ z,(x \ y) \ y) = K(y \ ((x \ y) * z),T(x,y)). [hyper(236,a,7257,a(flip),b,10652,a)]. given #9855 (H,wt=23): 10783 K(((x \ y) \ y) \ z,T(x,y)) = K(y \ ((x \ y) * z),T(x,y)). [hyper(7814,a,10751,a)]. given #9856 (H,wt=22): 10784 K(x \ ((y \ x) * z),T(y,x)) != u | K(y \ z,T(y,x)) = u. [para(10783(a,1),9484(a,1))]. given #9857 (H,wt=25): 10763 K(x,T(y \ z,z \ (y * u)) \ w) = K(x,(((y \ z) \ u) \ u) \ w). [para(10717(a,1),6543(a,1,2,1))]. given #9858 (H,wt=25): 10769 K(((x / y) \ z) / y,L(y,u,w)) = K((y * (x \ z)) / y,L(y,u,w)). [para(904(a,1),10765(a,1,1)),flip(a)]. given #9859 (H,wt=25): 10785 K(x,T((y \ z) \ 1,z \ (y * u))) = K(x,(((y \ z) \ u) \ u) \ 1). [hyper(7818,a,10763,a)]. given #9860 (H,wt=23): 10787 K(x,T(y \ z,y \ (z * u))) = K(x,(((z \ y) \ u) \ u) \ 1). [hyper(9465,a,10785,a)]. given #9861 (H,wt=21): 10788 K(x,T(y \ z,y \ (z * u))) = K(x,u \ ((z \ y) \ u)). [hyper(236,a,6408,a(flip),b,10787,a)]. given #9862 (H,wt=22): 10789 K(x,T(y \ z,y \ (z * u))) != w | K(x,T(y \ z,u)) = w. [para(10788(a,2),9469(a,1))]. given #9863 (H,wt=25): 10786 K(((x / y) \ z) / y,L(y,u,w)) = K(y \ (y * (x \ z)),L(y,u,w)). [hyper(236,a,7371,a(flip),b,10769,a)]. given #9864 (H,wt=21): 10790 K(((x / y) \ z) / y,L(y,u,w)) = K(x \ z,L(y,u,w)). [hyper(236,a,660,a(flip),b,10786,a)]. given #9865 (H,wt=21): 10791 K(x \ ((y / x) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). [hyper(8398,a,10790,a)]. given #9866 (H,wt=21): 10793 K(x \ ((x \ y) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). [hyper(10285,a,10791,a)]. given #9867 (H,wt=27): 10756 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) = L(K(x,(u * w) \ v5),y * x,z). [para(10654(a,1),6579(a,1,1)),flip(a)]. given #9868 (H,wt=27): 10782 (L(x,y,z) * u) \ (u * L(T(x,x \ u),y,z)) = a(x,x \ u,L(x,y,z)). [hyper(236,a,2433,a(flip),b,10781,a(flip)),flip(a)]. given #9869 (H,wt=25): 10795 K(x,L(y,z,u)) * K(L(y,z,u),y \ x) = a(y,y \ x,L(y,z,u)). [hyper(9101,a,10782,a)]. given #9870 (H,wt=28): 10708 K((x * (y * z)) \ ((x * y) * u),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)). [para(460(a,1),10696(a,1,1))]. given #9871 (H,wt=28): 10718 T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = T(L(x,y,z),L(x,y,z) \ u). [para(460(a,1),10711(a,1,2))]. given #9872 (H,wt=28): 10778 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,u),z * K(u,y)) * z. [para(10777(a,1),10282(a,2,1))]. given #9873 (H,wt=27): 10798 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = (x * K(y,u)) * (K(u,y) * z). [hyper(236,a,10118,a(flip),b,10778,a)]. given #9874 (H,wt=27): 10799 (x * K(y,T(z,u))) * (K(z,T(y,u)) * u) = (x * K(y,z)) * (K(z,y) * u). [para(7260(a,1),10798(a,1,1,2))]. given #9875 (H,wt=25): 10800 (x * K(y,T(z,u))) * (u * K(z,y)) = (x * K(y,z)) * (K(z,y) * u). [para(8047(a,1),10799(a,1,2))]. given #9876 (H,wt=28): 10794 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) != v6 | K(L(x,y,z),(u * w) \ v5) = v6. [para(10756(a,2),10722(a,1))]. given #9877 (H,wt=28): 10796 K((x * y) \ (z \ ((x * y) * u)),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)). [hyper(10296,a,10708,a)]. given #9878 (H,wt=20): 10802 K(L(x,y,z) \ u,L(x,y,z)) = K(x \ u,L(x,y,z)). [hyper(236,a,10768,a(flip),b,10796,a(flip))]. given #9879 (H,wt=28): 10797 L(T(x,(y * (z * x)) \ ((y * z) * u)),z,y) = T(L(x,z,y),L(x,z,y) \ u). [hyper(236,a,40,a,b,10718,a(flip)),flip(a)]. given #9880 (H,wt=28): 10804 L(T(x,(y * z) \ (x \ ((y * z) * u))),z,y) = T(L(x,z,y),L(x,z,y) \ u). [para(10040(a,1),10797(a,1,1))]. given #9881 (H,wt=20): 10805 T(L(x,y,z),L(x,y,z) \ u) = L(T(x,x \ u),y,z). [para(10713(a,1),10804(a,1,1)),flip(a)]. given #9882 (H,wt=17): 10806 x / L(T(y,y \ x),z,u) = L(y,z,u) \ x. [para(10805(a,1),197(a,1,2))]. given #9883 (H,wt=17): 10809 L(x / (x / y),z,u) \ x = x / L(y,z,u). [para(270(a,1),10806(a,1,2,1)),flip(a)]. given #9884 (H,wt=17): 10810 L(x / (x / y),z,u) = x / (x / L(y,z,u)). [para(10809(a,1),62(a,1,2)),flip(a)]. given #9885 (H,wt=19): 10815 K(x,L(y / (y / z),u,w)) = K(x,T(L(z,u,w),y)). [para(10810(a,2),8124(a,1,2))]. given #9886 (H,wt=21): 10814 T(x / (x / L(y,z,u)),x / y) = L((x / y) \ x,z,u). [para(10810(a,1),184(a,1,1))]. given #9887 (H,wt=17): 10816 T(x / (x / L(y,z,u)),x / y) = L(y,z,u). [para(65(a,1),10814(a,2,1))]. given #9888 (H,wt=21): 10817 T(T(x / (x / L(y,z,u)),w),x / y) = T(L(y,z,u),w). [para(10816(a,1),38(a,1,1)),flip(a)]. given #9889 (H,wt=29): 10752 K(x \ (y * z),y \ x) / K((y \ x) \ z,K(x,y)) = K((y \ x) \ z,x / y). [hyper(74,a,10652,a(flip),b,9411,a)]. given #9890 (H,wt=29): 10775 K(x \ ((y \ x) * z),(y \ x) \ x) = z \ ((((y \ x) \ x) \ z) * T(y,y \ x)). [hyper(72,a,257,a,b,10753,a),flip(a)]. given #9891 (H,wt=27): 10819 x \ ((((y \ z) \ z) \ x) * T(y,y \ z)) = K(z \ ((y \ z) * x),T(y,z)). [hyper(7814,a,10775,a),flip(a)]. given #9892 (H,wt=23): 10820 x \ ((((y \ z) \ z) \ x) * T(y,y \ z)) = K(y \ x,T(y,z)). [hyper(10784,a,10819,a(flip)),flip(a)]. given #9893 (H,wt=26): 10821 x \ ((((y \ z) \ z) \ x) * T(y,y \ z)) != u | K(y \ x,T(y,z)) = u. [para(10819(a,2),10784(a,1))]. given #9894 (H,wt=29): 10807 (L(x,y,z) \ u) / (L(T(x,x \ w),y,z) \ u) = K(L(x,y,z),L(x,y,z) \ w). [para(10805(a,1),5189(a,1,2,1))]. given #9895 (H,wt=20): 10822 K(L(x,y,z),L(x,y,z) \ u) = K(L(x,y,z),x \ u). [hyper(236,a,5349,a(flip),b,10807,a(flip))]. given #9896 (H,wt=29): 10818 K(x \ (y * z),y \ x) / K(x,K((y \ x) \ z,y)) = K((y \ x) \ z,x / y). [para(7919(a,1),10752(a,1,2))]. given #9897 (H,wt=29): 10824 K(x \ (y * z),y \ x) / K(x,K(x \ (y * z),y)) = K((y \ x) \ z,x / y). [para(8320(a,1),10818(a,1,2,2))]. given #9898 (H,wt=27): 10825 K(x \ (y * z),y \ x) / K(x,K(y,y * z)) = K((y \ x) \ z,x / y). [para(9205(a,1),10824(a,1,2))]. given #9899 (H,wt=25): 10826 K(x \ (y * z),y \ x) / K(x,K(y,z)) = K((y \ x) \ z,x / y). [para(9204(a,1),10825(a,1,2))]. given #9900 (H,wt=25): 10827 K(x \ (y * z),y \ x) * K(x,K(y,z)) = K((y \ x) \ z,x / y). [hyper(7973,a,10826,a)]. given #9901 (H,wt=25): 10828 K(x \ (y * z),y \ x) * K(x,K(y,z)) = K(x \ (y * z),x / y). [hyper(236,a,10665,a(flip),b,10827,a)]. given #9902 (H,wt=30): 10725 ((x * T(y,x)) * L(x,y,z)) \ (x * (y * L(x,y,z))) = K(L(x,y,z),x * T(y,x)). [para(10714(a,1),1212(a,1,2,2))]. given #9903 (H,wt=28): 10829 ((x * y) * L(y,x,z)) \ (y * (x * L(y,x,z))) = K(L(y,x,z),y * T(x,y)). [para(119(a,1),10725(a,1,1,1))]. given #9904 (H,wt=19): 10830 K(L(x,y,z),x * T(y,x)) = K(x,y * L(x,y,z)). [hyper(1663,a,10829,a),flip(a)]. given #9905 (H,wt=17): 10831 K(L(x,y,z),y * x) = K(x,y * L(x,y,z)). [para(119(a,1),10830(a,1,2))]. given #9906 (H,wt=14): 10832 K(x,y * L(x,y,z)) = K(x,x * y). [hyper(8505,a,10831,a),flip(a)]. given #9907 (H,wt=22): 10834 L(K(x,x * y),z * x,u) = K(L(x,z,u),y * L(x,y,w)). [para(10832(a,1),6579(a,1,1))]. given #9908 (H,wt=20): 10835 K(L(x,y,z),u * L(x,u,w)) = K(L(x,y,z),x * u). [hyper(10722,a,10834,a),flip(a)]. given #9909 (H,wt=17): 10836 L(K(L(x,y,z),x * y),y,z) = K(x,x * y). [para(10835(a,1),10037(a,1,1))]. given #9910 (H,wt=14): 10837 L(K(x,x * y),y,z) = K(x,x * y). [para(8907(a,1),10836(a,1,1))]. given #9911 (H,wt=15): 10839 K(x,y \ (z * x)) = K(x,x * (y \ z)). [hyper(236,a,10024,a(flip),b,10837,a(flip)),flip(a)]. given #9912 (H,wt=15): 10843 K(x,x * ((y * z) \ y)) = K(x,z \ x). [hyper(6599,a,10839,a),flip(a)]. given #9913 (H,wt=15): 10848 K(x,x * (y \ ((x \ y) * z))) = K(x,z). [hyper(236,a,8845,a(flip),b,10839,a(flip))]. given #9914 (H,wt=15): 10849 K(x,y \ (x * z)) = K(x,x * (y \ z)). [hyper(236,a,8833,a(flip),b,10839,a(flip)),flip(a)]. given #9915 (H,wt=16): 10840 1 / L(K(x,x * y),y,z) = K(x * y,x). [para(10837(a,2),5102(a,1,2))]. given #9916 (H,wt=14): 10854 L(K(x * y,x),y,z) = K(x * y,x). [hyper(6043,a,10840,a)]. given #9917 (H,wt=14): 10855 L(K(x * y,x),y,z) = K(y * x,x). [hyper(236,a,5559,a,b,10854,a)]. given #9918 (H,wt=14): 10857 L(K(x * y,y),x,z) = K(x * y,y). [para(5559(a,2),10855(a,1,1))]. given #9919 (H,wt=10): 10859 a(x,y,K(y * z,z)) = 1. [hyper(73,a,10857,a,b,10178,a),flip(a)]. given #9920 (H,wt=15): 10856 K(x \ (y * z),z) = K(z * (x \ y),z). [hyper(236,a,10048,a(flip),b,10854,a(flip)),flip(a)]. given #9921 (H,wt=15): 10861 K((x \ y) \ z,x) = K(x * (y \ z),x). [hyper(8532,a,10856,a)]. given #9922 (H,wt=15): 10862 K(x * ((y * x) \ z),x) = K(y \ z,x). [hyper(8531,a,10856,a),flip(a)]. given #9923 (H,wt=15): 10863 K((x \ y) \ z,z) = K(z * (y \ x),z). [hyper(7766,a,10856,a)]. given #9924 (H,wt=15): 10865 K(x * (y \ (x \ z)),x) = K(y \ z,x). [hyper(236,a,8533,a(flip),b,10856,a(flip))]. given #9925 (H,wt=15): 10869 K(x * ((y * z) \ y),x) = K(z \ x,x). [para(13(a,1),10863(a,1,1,1)),flip(a)]. given #9926 (H,wt=17): 10841 K(x,x * y) != z | L(K(x,x * y),y,u) = z. [para(10837(a,1),7388(a,1))]. given #9927 (H,wt=17): 10845 K(x,(y * (x \ 1)) \ z) = K(x,x * (y \ z)). [hyper(236,a,10014,a,b,10839,a(flip)),flip(a)]. given #9928 (H,wt=17): 10858 L(K(x * y,x),y,z) != u | K(x * y,x) = u. [para(10855(a,2),5642(a,1))]. given #9929 (H,wt=18): 10852 K(x,x * ((y * z) \ y)) != u | K(x,z \ x) = u. [para(10839(a,1),6599(a,1))]. given #9930 (H,wt=18): 10867 K(x * ((y * x) \ z),x) != u | K(y \ z,x) = u. [para(10856(a,1),8531(a,1))]. given #9931 (H,wt=18): 10872 K(x \ (y * z),z) != u | K(z * (x \ y),z) = u. [para(10048(a,1),10858(a,1))]. given #9932 (H,wt=18): 10873 K((x \ y) \ z,z) != u | K(z * (y \ x),z) = u. [para(7742(a,2),10872(a,1))]. given #9933 (H,wt=18): 10874 K((x \ y) \ z,x) != u | K(x * (y \ z),x) = u. [para(8529(a,2),10872(a,1))]. given #9934 (H,wt=18): 10875 K((x / y) \ z,y) != u | K(y * (x \ z),y) = u. [para(8535(a,2),10872(a,1))]. given #9935 (H,wt=19): 10846 K(x,(y * (z / x)) \ u) = K(x,x * ((y * z) \ u)). [hyper(236,a,10013,a,b,10839,a(flip)),flip(a)]. given #9936 (H,wt=19): 10860 K((x * (y \ z)) \ u,y) = K(y * ((x * z) \ u),y). [hyper(10046,a,10856,a)]. given #9937 (H,wt=19): 10871 T(x,(y * (x \ 1)) \ z) = x * K(x,x * (y \ z)). [para(10845(a,1),4887(a,2,2))]. given #9938 (H,wt=17): 10877 T(x,(y * (x \ 1)) \ z) = T(x,x * (y \ z)). [hyper(236,a,4887,a,b,10871,a)]. given #9939 (H,wt=15): 10879 T(x,y \ (x * z)) = T(x,x * (y \ z)). [hyper(236,a,10043,a(flip),b,10877,a(flip)),flip(a)]. given #9940 (H,wt=17): 10880 T(x,x * (y \ (z \ y))) = T(x,T(z \ x,y)). [hyper(236,a,9946,a(flip),b,10879,a(flip))]. given #9941 (H,wt=20): 10844 L(K(x,x * (y \ z)),y \ z,u) = K(x,y \ (z * x)). [hyper(236,a,10837,a,b,10839,a),flip(a)]. given #9942 (H,wt=18): 10882 K(x,y \ (z * x)) != u | K(x,x * (y \ z)) = u. [para(10844(a,1),323(a,1)),flip(b)]. given #9943 (H,wt=20): 10870 a(x,(y * z) \ y,x) = K(x,z \ 1) * K(z \ x,x). [para(10869(a,1),9060(a,1,2)),flip(a)]. given #9944 (H,wt=15): 10886 a(x,(y * z) \ y,x) = a(x,z \ 1,x). [hyper(236,a,9059,a(flip),b,10870,a)]. given #9945 (H,wt=20): 10878 T(x,(y * (x \ 1)) \ z) != u | T(x,x * (y \ z)) = u. [para(10871(a,2),4890(a,1))]. given #9946 (H,wt=18): 10888 T(x,y \ (x * z)) != u | T(x,x * (y \ z)) = u. [para(10043(a,1),10878(a,1))]. given #9947 (H,wt=22): 10868 K(x * (y \ z),x) * K(x,y \ z) = a(x,(z \ y) \ 1,x). [para(10856(a,1),9936(a,1,1))]. given #9948 (H,wt=18): 10889 a(x,(y \ z) \ 1,x) != u | a(x,z \ y,x) = u. [para(10868(a,1),9070(a,1))]. given #9949 (H,wt=22): 10884 K(x,(y * (x \ z)) \ u) != w | K(x,x * ((y * z) \ u)) = w. [para(10010(a,2),10882(a,1))]. given #9950 (H,wt=22): 10885 K(x,(y * (z / x)) \ u) != w | K(x,x * ((y * z) \ u)) = w. [para(10013(a,2),10882(a,1))]. given #9951 (H,wt=23): 10850 (x \ (y * z)) * K(z,z * (x \ y)) = (z * (x \ (y * z))) / z. [para(10839(a,1),4854(a,2,2)),flip(a)]. given #9952 (H,wt=23): 10851 L(K(x,x * (y \ z)),u * x,w) = K(L(x,u,w),y \ (z * x)). [para(10839(a,1),6579(a,1,1))]. given #9953 (H,wt=21): 10891 K(L(x,y,z),u \ (w * x)) = K(L(x,y,z),x * (u \ w)). [hyper(10722,a,10851,a),flip(a)]. given #9954 (H,wt=21): 10892 K(L(x,y,z),u \ (x * w)) = K(L(x,y,z),x * (u \ w)). [hyper(9949,a,10891,a)]. given #9955 (H,wt=24): 10881 K(x \ (y \ x),z) * T(z,T(y \ z,x)) = L(z,x \ (y \ x),z). [para(10880(a,1),5181(a,1,2))]. given #9956 (H,wt=24): 10883 K(x,y * (L(y,z,u) \ x)) != w | K(x,x * (L(y,z,u) \ y)) = w. [para(1210(a,1),10882(a,1,2))]. given #9957 (H,wt=24): 10893 K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(236,a,10533,a(flip),b,10892,a(flip))]. given #9958 (H,wt=28): 10866 L(x * K(x * (y \ z),x),u,w) / L(x,u,w) = K(y \ (z * x),L(x,u,w)). [para(10856(a,1),5666(a,1,1,1,2))]. given #9959 (H,wt=21): 10894 K(x \ (y * z),L(z,u,w)) = K(z * (x \ y),L(z,u,w)). [hyper(5966,a,10866,a),flip(a)]. given #9960 (H,wt=21): 10895 K((x \ y) \ z,L(z,u,w)) = K(z * (y \ x),L(z,u,w)). [hyper(236,a,8539,a,b,10894,a(flip)),flip(a)]. given #9961 (H,wt=31): 10664 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(1206(a,1),10660(a,1,1,1)),flip(a)]. given #9962 (H,wt=28): 10896 K(x \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(236,a,10802,a(flip),b,10664,a(flip)),flip(a)]. given #9963 (H,wt=24): 10897 K((L(x,y,z) \ u) \ w,L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(236,a,10793,a(flip),b,10896,a(flip)),flip(a)]. given #9964 (H,wt=24): 10898 K(L(x,y,z) * (u \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(10874,a,10897,a)]. given #9965 (H,wt=24): 10899 K(L(x,y,z) * (u \ w),L(x,y,z)) = K(u \ (x * w),L(x,y,z)). [hyper(236,a,10113,a(flip),b,10898,a)]. given #9966 (H,wt=24): 10900 K((x \ y) * L(z,u,w),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). [hyper(8418,a,10899,a)]. given #9967 (H,wt=31): 10666 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(4563(a,1),10663(a,1,1,2,1))]. given #9968 (H,wt=28): 10901 K(x \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(236,a,10802,a(flip),b,10666,a(flip)),flip(a)]. given #9969 (H,wt=24): 10902 K((1 / L(x,y,z)) \ u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(236,a,10793,a(flip),b,10901,a(flip)),flip(a)]. given #9970 (H,wt=22): 10903 K(L(x,y,z) * u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(236,a,7725,a(flip),b,10902,a(flip)),flip(a)]. given #9971 (H,wt=22): 10904 K(x * L(y,z,u),L(y,z,u)) = K((1 / y) \ x,L(y,z,u)). [hyper(8418,a,10903,a)]. given #9972 (H,wt=22): 10905 K(x * L(y,z,u),L(y,z,u)) = K(1 \ (x * y),L(y,z,u)). [hyper(236,a,9950,a(flip),b,10904,a)]. given #9973 (H,wt=20): 10906 K(x * L(y,z,u),L(y,z,u)) = K(x * y,L(y,z,u)). [para(50(a,1),10905(a,2,1))]. given #9974 (H,wt=21): 10907 K(x \ (y * z),L(y,u,w)) = K((x \ z) * y,L(y,u,w)). [hyper(236,a,10900,a(flip),b,10906,a(flip)),flip(a)]. given #9975 (H,wt=21): 10909 K((x \ y) \ z,L(x,u,w)) = K((y \ z) * x,L(x,u,w)). [hyper(236,a,10113,a,b,10907,a(flip)),flip(a)]. given #9976 (H,wt=21): 10910 K(x \ (y * z),L(z,u,w)) = K((x \ y) * z,L(z,u,w)). [hyper(236,a,9948,a,b,10907,a(flip)),flip(a)]. given #9977 (H,wt=21): 10912 K((x / y) \ z,L(y,u,w)) = K((x \ z) * y,L(y,u,w)). [hyper(236,a,9950,a,b,10910,a(flip)),flip(a)]. given #9978 (H,wt=22): 10911 K(((x \ y) \ z) * u,L(u,z,x)) = K(y \ (x * (u * z)),u). [hyper(236,a,8973,a(flip),b,10907,a(flip))]. given #9979 (H,wt=31): 10823 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(10822(a,1),9043(a,1,2)),flip(a)]. given #9980 (H,wt=25): 10913 a(L(x,y,z),L(x,y,z) \ u,L(x,y,z)) = a(x,x \ u,L(x,y,z)). [hyper(236,a,10795,a(flip),b,10823,a)]. given #9981 (H,wt=32): 10876 L(x * K(x * ((y * z) \ u),x),w,v5) \ L(x,w,v5) = K(L(x,w,v5),(y * (x \ z)) \ u). [para(10860(a,1),5667(a,1,1,1,2))]. given #9982 (H,wt=25): 10915 K(L(x,y,z),(u * (x \ w)) \ v5) = K(L(x,y,z),x * ((u * w) \ v5)). [hyper(7667,a,10876,a),flip(a)]. given #9983 (H,wt=28): 10916 K(L(x,y,z),(u * (x \ w)) \ v5) != v6 | K(L(x,y,z),x * ((u * w) \ v5)) = v6. [para(10876(a,1),7667(a,1))]. given #9984 (H,wt=33): 10754 T(x \ y,z) \ T((x \ y) * K(y \ (x * u),x \ y),z) = K((x \ y) \ u,T(x \ y,z)). [para(10652(a,1),5754(a,1,2,1,2))]. given #9985 (H,wt=23): 10917 K((x \ y) \ z,T(x \ y,u)) = K(y \ (x * z),T(x \ y,u)). [hyper(5755,a,10754,a),flip(a)]. given #9986 (H,wt=26): 10918 K((x \ y) \ z,T(x \ y,u)) != w | K(y \ (x * z),T(x \ y,u)) = w. [para(10754(a,1),5755(a,1))]. given #9987 (H,wt=33): 10774 x * K(L(y,z,u) \ y,L(y,z,u) * (y \ x)) = (L(y,z,u) \ y) * (x / (L(y,z,u) \ y)). [para(1205(a,1),10749(a,1,2,2))]. given #9988 (H,wt=34): 6058 ((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(6057(a,1),104(a,1,2,2,1))]. given #9989 (H,wt=34): 6456 K(T(x * T(x \ (y / z),u),z) \ T(x,z),w) != v5 | K(T(T(x,z) \ (z \ y),u) \ 1,w) = v5. [para(2051(a,1),6345(a,1,1,1))]. given #9990 (H,wt=33): 10919 K((x * T(x \ (y / z),u)) \ x,T(T(x,w),z)) = K(T(T(x,z) \ (z \ y),u) \ 1,T(x,w)). [hyper(6456,a,9111,a),flip(a)]. given #9991 (H,wt=29): 10920 K(T(T(x,y) \ (y \ z),u) \ 1,T(x,y)) = K((x * T(x \ (z / y),u)) \ x,x). [hyper(8174,a,10919,a),flip(a)]. given #9992 (H,wt=27): 10921 K(T(T(x,y) \ (y \ z),u) \ 1,T(x,y)) = K(T(x \ (z / y),u) \ 1,x). [hyper(236,a,6294,a(flip),b,10920,a)]. given #9993 (H,wt=27): 10923 K(T(T(x,y) \ (y \ z),u) \ 1,T(x,y)) = K((x \ (z / y)) \ 1,T(x,u)). [hyper(236,a,7268,a(flip),b,10921,a)]. given #9994 (H,wt=25): 10924 K(T(T(x,y) \ (y \ z),u) \ 1,T(x,y)) = K((z / y) \ x,T(x,u)). [hyper(236,a,6269,a(flip),b,10923,a)]. given #9995 (H,wt=25): 10925 K((T(x,y) \ (y \ z)) \ 1,T(T(x,y),u)) = K((z / y) \ x,T(x,u)). [hyper(7819,a,10924,a)]. given #9996 (H,wt=23): 10926 K((x \ y) \ T(z,x),T(T(z,x),u)) = K((y / x) \ z,T(z,u)). [hyper(6495,a,10925,a)]. given #9997 (H,wt=21): 10927 K((x \ y) \ z,T(T(z,x),u)) = K((y / x) \ z,T(z,u)). [hyper(236,a,8735,a(flip),b,10926,a(flip)),flip(a)]. given #9998 (H,wt=21): 10929 K((x / y) \ z,T(z,y / x)) = K((y \ x) \ z,T(z,y)). [hyper(236,a,10073,a(flip),b,10927,a(flip))]. given #9999 (H,wt=17): 10930 K((x \ y) \ z,T(z,x)) = K((y / x) \ z,z). [hyper(236,a,5531,a(flip),b,10929,a(flip))]. given #10000 (H,wt=17): 10931 K(x \ (y * z),T(z,y)) = K((x / y) \ z,z). [hyper(236,a,7768,a(flip),b,10930,a(flip)),flip(a)]. given #10001 (H,wt=15): 10933 K((x * y) / z,y) = K((z / x) \ y,y). [hyper(8396,a,10931,a)]. given #10002 (H,wt=17): 10932 K(((x * y) / x) \ z,z) = K(y \ z,T(z,x)). [para(13(a,1),10930(a,1,1,1)),flip(a)]. given #10003 (H,wt=17): 10934 K(x * (y \ K(y,z)),x) = K(y \ x,T(x,z)). [hyper(236,a,5414,a(flip),b,10932,a(flip)),flip(a)]. given #10004 (H,wt=17): 10935 K((x \ K(x,y)) * z,z) = K(x \ z,T(z,y)). [hyper(8418,a,10934,a)]. given #10005 (H,wt=34): 7723 (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(7608(a,2),4986(a,1,1))]. given #10006 (H,wt=34): 7868 ((((x * T(y,x)) * z) / (x * T(y,x))) * ((y * x) / y)) * y = (x * T(y,x)) * R(z,x,T(y,x)). [hyper(236,a,812,a(flip),b,7641,a)]. given #10007 (H,wt=32): 10937 ((((x * T(y,x)) * z) / (x * T(y,x))) * ((y * x) / y)) * y = (y * x) * R(z,x,T(y,x)). [para(119(a,1),7868(a,2,1))]. given #10008 (H,wt=30): 10938 ((((x * T(y,x)) * z) / (x * T(y,x))) * ((y * x) / y)) * y = (y * x) * R(z,x,y). [para(10675(a,1),10937(a,2,2))]. given #10009 (H,wt=28): 10939 ((((x * y) * z) / (y * T(x,y))) * ((x * y) / x)) * x = (x * y) * R(z,y,x). [para(119(a,1),10938(a,1,1,1,1,1))]. given #10010 (H,wt=26): 10940 ((((x * y) * z) / (x * y)) * ((x * y) / x)) * x = (x * y) * R(z,y,x). [para(119(a,1),10939(a,1,1,1,2))]. given #10011 (H,wt=22): 10941 ((((x * y) * z) / (y * x)) * y) * x = (x * y) * R(z,y,x). [para(10462(a,1),10940(a,1,1))]. given #10012 (H,wt=34): 9166 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,(y \ ((1 / z) \ y)) \ (x \ ((1 / z) \ y))). [para(4079(a,1),9163(a,2,2,2,2))]. given #10013 (H,wt=34): 9408 K(x,K(y * z,(y * u) * z)) * K(x,R(u * K(y,u),y,z)) = K(x,(y * z) \ ((y * u) * z)). [para(5032(a,2),9398(a,1,2,2))]. given #10014 (H,wt=34): 9467 K(((x \ y) \ 1) \ z,T(y \ x,u)) != w | K(T((x \ y) \ 1,v5) \ z,T((x \ y) \ 1,u)) = w. [para(9464(a,1),8552(a,1))]. given #10015 (H,wt=34): 10230 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(5909(a,1),10183(a,1,1))]. given #10016 (H,wt=30): 10942 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(5895(a,1),10230(a,1,2))]. given #10017 (H,wt=26): 10943 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(5909(a,1),10942(a,2,3))]. given #10018 (H,wt=34): 10489 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(5204(a,1),10488(a,1,2))]. given #10019 (H,wt=34): 10560 (x * (K(y,y \ 1) * (z * u))) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). [para(3584(a,1),4600(a,1,1,2))]. given #10020 (H,wt=34): 10936 (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(7923(a,1),7723(a,1,2,2))]. given #10021 (H,wt=34): 10944 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(5622,a,10489,a)]. given #10022 (H,wt=34): 10945 (x * (K(y,y \ 1) * (z * u))) \ (K(y,y \ 1) * ((x * z) * u)) = a(x,K(y,y \ 1) * z,u). [para(3584(a,1),10560(a,1,2))]. given #10023 (H,wt=34): 10946 (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(7256(a,2),10936(a,2,1,1))]. given #10024 (H,wt=32): 10949 (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(7303(a,1),10946(a,2,1))]. given #10025 (H,wt=25): 10950 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = K(x,T(x * y,z)). [hyper(236,a,9886,a(flip),b,10949,a)]. given #10026 (H,wt=33): 10953 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(6697(a,2),10950(a,1,1))]. given #10027 (H,wt=25): 10954 K(x,T(y / z,y) \ y) \ (K(x,z) * 1) = K(y,T(y * K(x,z),x)). [para(7599(a,1),10953(a,1,2,2))]. given #10028 (H,wt=23): 10955 K(x,T(y / z,y) \ y) \ K(x,z) = K(y,T(y * K(x,z),x)). [para(12(a,1),10954(a,1,2))]. given #10029 (H,wt=23): 10956 K(T(x / y,x) \ x,z) * K(z,y) = K(x,T(x * K(z,y),z)). [hyper(5286,a,10955,a)]. given #10030 (H,wt=23): 10957 K(x,T(y / z,y) \ y) * K(z,x) = K(y,T(y * K(z,x),z)). [para(6698(a,1),10956(a,1,1))]. given #10031 (H,wt=21): 10958 K(x,T(y / z,y) \ y) * K(z,x) = K(y,y * K(z,x)). [hyper(236,a,7437,a(flip),b,10957,a)]. given #10032 (H,wt=15): 10959 K(x * K(y,z),x) = K(x,x * K(z,y)). [hyper(236,a,6782,a(flip),b,10958,a(flip)),flip(a)]. given #10033 (H,wt=24): 10960 T(T(x * K(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). [para(10959(a,1),5874(a,1,1,1,2))]. given #10034 (H,wt=22): 10961 T(T(T(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). [para(4887(a,2),10960(a,1,1,1))]. given #10035 (H,wt=18): 10962 R(T(x,K(y,z)),K(z,y),x) = T(x,x * K(y,z)). [hyper(5847,a,10961,a)]. given #10036 (H,wt=21): 10963 T(x,x * K(y,z)) \ T(K(z,y) * x,x) = K(z,T(y,x)). [para(10962(a,1),10409(a,1,1))]. given #10037 (H,wt=34): 10947 K(x,T(y,z)) * (K(y * R(x,u,w),T(x,z)) * v5) = R(T(x,z),y,R(x,u,w)) * (T(x,z) \ v5). [hyper(8496,a,10944,a)]. given #10038 (H,wt=34): 10948 ((x * (K(y,y \ 1) * (z * u))) \ ((x * z) * u)) * K(y,y \ 1) = a(x,K(y,y \ 1) * z,u). [hyper(4582,a,10945,a)]. given #10039 (H,wt=34): 10965 (((x * (y * z)) \ ((x * y) * z)) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z). [para(4610(a,1),10948(a,1,1))]. given #10040 (H,wt=27): 10966 (a(x,y,z) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z). [para(24(a,2),10965(a,1,1,1))]. given #10041 (H,wt=18): 10967 a(x,K(y,y \ 1) * z,u) != w | a(x,z,u) = w. [para(10966(a,1),2866(a,1)),flip(b)]. given #10042 (H,wt=16): 10968 a(x,(y \ 1) \ 1,z) != u | a(x,y,z) = u. [para(1745(a,1),10967(a,1,2))]. given #10043 (H,wt=13): 10970 a(x,(y \ 1) \ 1,z) = a(x,y,z). [hyper(10968,a,xx),flip(a)]. given #10044 (H,wt=18): 10969 a(x,y * K(z,z \ 1),u) != w | a(x,y,u) = w. [para(2500(a,1),10967(a,1,2))]. given #10045 (H,wt=20): 10971 a(x,(1 / y) \ 1,1 / y) != z | a(x,y,y \ 1) = z. [para(9686(a,2),10968(a,1))]. given #10046 (H,wt=35): 5384 R(T(x,y),K(y,x) * z,(K(y,x) * z) \ K(y,x)) = ((x * z) * L(z \ 1,z,K(y,x))) / K(y,x). [para(5354(a,1),733(a,1,1))]. given #10047 (H,wt=35): 6643 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = K(x \ 1,x) * (L(x \ 1,y,z) \ 1). [para(6640(a,1),3296(a,1,2)),flip(a)]. given #10048 (H,wt=33): 10973 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = L(x \ 1,y,z) \ K(x \ 1,x). [hyper(236,a,4570,a(flip),b,6643,a)]. given #10049 (H,wt=33): 10974 (L(x \ 1,y,z) \ (x \ 1)) * T(1 / (1 / x),x \ 1) = (x \ 1) * (L(x \ 1,y,z) \ x). [hyper(236,a,1233,a(flip),b,10973,a)]. given #10050 (H,wt=25): 10975 (L(x \ 1,y,z) \ (x \ 1)) * x = (x \ 1) * (L(x \ 1,y,z) \ x). [para(1726(a,1),10974(a,1,2))]. given #10051 (H,wt=21): 10976 (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = x. [hyper(72,a,4781,a(flip),b,10975,a)]. given #10052 (H,wt=35): 6992 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * ((z / u) \ z)) \ z) / y)). [para(65(a,1),6985(a,1,1,2)),flip(a)]. given #10053 (H,wt=31): 10977 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * u) \ z) / y)). [para(65(a,1),6992(a,2,2,2,1,1,2))]. given #10054 (H,wt=27): 10978 (x * (y * ((x \ (z / u)) / y))) * u = (x * u) * (y * (((x * u) \ z) / y)). [para(65(a,1),10977(a,1,2))]. given #10055 (H,wt=25): 10979 ((x * y) * (z * (((x * y) \ u) / z))) / u = K(z,u / ((x * z) * y)). [para(10978(a,1),6937(a,1,1))]. given #10056 (H,wt=19): 10980 K(x,y / ((z * u) * x)) = K(x,y / ((z * x) * u)). [hyper(6660,a,10979,a)]. given #10057 (H,wt=17): 10983 K(x,y / ((z * y) * x)) = K(x,1 / (z * x)). [hyper(236,a,5800,a(flip),b,10980,a)]. given #10058 (H,wt=17): 10986 K(x,1 / ((y / z) * x)) = K(x,z / (y * x)). [para(16(a,1),10983(a,1,2,2,1)),flip(a)]. given #10059 (H,wt=19): 10982 K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))). [hyper(10455,a,10980,a),flip(a)]. given #10060 (H,wt=19): 10988 K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))). [hyper(236,a,8991,a(flip),b,10982,a(flip)),flip(a)]. given #10061 (H,wt=21): 10989 x * K(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)). [para(10988(a,1),4887(a,2,2)),flip(a)]. given #10062 (H,wt=22): 10981 K(x,y / ((z * x) * u)) != w | K(x,y / ((z * u) * x)) = w. [para(10979(a,1),6660(a,1))]. given #10063 (H,wt=22): 10985 K(x,y / ((z * x) * u)) != w | K(x,y / (x * (z * u))) = w. [para(10980(a,1),10455(a,1))]. given #10064 (H,wt=24): 10987 K(x,((y * x) * z) / (x * (y * (y \ z)))) = L(K(x,y),z,y * x). [hyper(236,a,10611,a(flip),b,10982,a(flip))]. given #10065 (H,wt=20): 10990 L(K(x,y),z,y * x) = K(x,((y * x) * z) / (x * z)). [para(14(a,1),10987(a,1,2,2,2)),flip(a)]. given #10066 (H,wt=15): 10991 L(K(x,y),z,y * x) = K(x,R(y,x,z)). [para(30(a,2),10990(a,2,2))]. given #10067 (H,wt=10): 10993 K(x,R(y,x,z)) = K(x,y). [hyper(10723,a,10991,a),flip(a)]. given #10068 (H,wt=10): 10996 K(R(x,y,z),y) = K(x,y). [hyper(10583,a,10993,a)]. given #10069 (H,wt=13): 10995 K(x,R(y,x,z)) != u | K(x,y) = u. [para(10991(a,1),10723(a,1))]. given #10070 (H,wt=13): 11004 K(R(x,y,z),y) = K(x,R(y,x,u)). [hyper(236,a,10993,a,b,10996,a)]. given #10071 (H,wt=15): 11006 K((x / y) / z,z) = K(x / (z * y),z). [para(235(a,1),10996(a,1,1)),flip(a)]. given #10072 (H,wt=15): 11011 T(x,R(y,x,z)) = x * K(R(x,y,u),y). [para(11004(a,2),4887(a,2,2))]. given #10073 (H,wt=10): 11013 T(x,R(y,x,z)) = T(x,y). [hyper(236,a,7213,a(flip),b,11011,a)]. given #10074 (H,wt=15): 11012 K(x / (y * z),y) = K(y \ (x / z),y). [hyper(5335,a,11006,a),flip(a)]. given #10075 (H,wt=15): 11016 K(x / (y * z),z) = K(z \ (x / y),z). [hyper(10454,a,11012,a)]. given #10076 (H,wt=16): 10999 K(x,R(R(y,x,z),u,w)) = K(x,R(y,u,w)). [para(46(a,1),10993(a,1,2))]. given #10077 (H,wt=17): 10994 R(K(x,y),z,T(y * x,z)) = K(x,R(y,x,z)). [hyper(10171,a,10991,a)]. given #10078 (H,wt=17): 10998 ((x * y) * z) \ ((y * x) * z) = K(y,T(x,z)). [hyper(236,a,9586,a,b,10993,a(flip)),flip(a)]. given #10079 (H,wt=17): 11000 K(1 / x,y / (1 / x)) = K(1 / x,y * x). [para(481(a,1),10993(a,1,2)),flip(a)]. given #10080 (H,wt=17): 11019 K(x \ ((y * z) / y),x) = K(x \ z,T(x,y)). [hyper(10732,a,11016,a),flip(a)]. given #10081 (H,wt=19): 11017 x / (K(y \ (z / u),y) * x) = K(y,z / (y * u)). [para(11012(a,1),5266(a,1,2,1))]. given #10082 (H,wt=15): 11025 K(x,y / (x * z)) = K(x,x \ (y / z)). [hyper(5272,a,11017,a),flip(a)]. given #10083 (H,wt=15): 11026 K(x,y / (z * x)) = K(x,x \ (y / z)). [hyper(10456,a,11025,a)]. given #10084 (H,wt=15): 11029 K(x,(x \ y) / z) = K(x,x \ (y / z)). [hyper(236,a,9742,a,b,11026,a(flip)),flip(a)]. given #10085 (H,wt=15): 11030 K(x,x \ ((x * y) / z)) = K(x,y / z). [para(13(a,1),11029(a,1,2,1)),flip(a)]. given #10086 (H,wt=19): 11027 K(x,y / ((z * x) * u)) = K(x,x \ (y / (z * u))). [hyper(236,a,10982,a,b,11025,a(flip)),flip(a)]. given #10087 (H,wt=19): 11032 K(x,x \ (y / ((x \ z) * u))) = K(x,y / (z * u)). [hyper(236,a,8990,a(flip),b,11027,a(flip))]. given #10088 (H,wt=19): 11033 K(x,(x * y) / (z * u)) = K(x,y / ((x \ z) * u)). [hyper(236,a,11030,a(flip),b,11032,a(flip))]. given #10089 (H,wt=20): 11010 ((x * y) * z) \ ((y * x) * z) != u | K(y,T(x,z)) = u. [para(9586(a,2),10995(a,1))]. given #10090 (H,wt=20): 11020 K(x \ ((y * z) / y),x) != u | K(x \ z,T(x,y)) = u. [para(11016(a,1),10732(a,1))]. given #10091 (H,wt=21): 11001 K(1 / x,T(y / (1 / x),z)) = K(1 / x,T(y * x,z)). [para(579(a,1),10993(a,1,2)),flip(a)]. given #10092 (H,wt=21): 11024 K(x,y * K(1 / y,z * y)) = T(K(x,y),z / (1 / y)). [para(11000(a,1),9846(a,1,2,2))]. given #10093 (H,wt=17): 11035 T(K(x,y),z / (1 / y)) = T(K(x,y),z * y). [hyper(236,a,9846,a(flip),b,11024,a(flip))]. given #10094 (H,wt=19): 11036 T(K(x,y),z * y) = K(x,1 / (z / (z / (1 / y)))). [hyper(236,a,9847,a(flip),b,11035,a(flip))]. given #10095 (H,wt=17): 11037 K(x,1 / (y / (y / (1 / z)))) = K(x,T(z,y)). [hyper(236,a,6439,a(flip),b,11036,a(flip))]. given #10096 (H,wt=21): 11028 x * K(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). [para(11025(a,1),10989(a,1,2))]. given #10097 (H,wt=19): 11038 T(x,y / ((x * z) * u)) = T(x,x \ (y / (z * u))). [hyper(4890,a,11028,a),flip(a)]. given #10098 (H,wt=22): 11021 R(K(x,R(y,x,z)),(y * x) * z,u) = K(x,R(y,x * z,u)). [hyper(236,a,6826,a,b,10999,a(flip)),flip(a)]. given #10099 (H,wt=19): 11039 R(K(x,y),(y * x) * z,u) = K(x,R(y,x * z,u)). [para(10993(a,1),11021(a,1,1))]. given #10100 (H,wt=22): 11034 K(x,y / ((x \ z) * u)) != w | K(x,((z * u) / y) \ x) = w. [para(11033(a,1),6836(a,1))]. given #10101 (H,wt=24): 11009 K(1 / x,T(y * x,z)) != u | K(1 / x,T(y / (1 / x),z)) = u. [para(579(a,1),10995(a,1,2))]. given #10102 (H,wt=24): 11022 K(x,R(y,x,z)) * ((y * x) * z) = (K(x,y) * z) * T(y * x,z). [para(10994(a,1),465(a,1,1))]. given #10103 (H,wt=21): 11041 (K(x,y) * z) * T(y * x,z) = (y * (K(x,y) * x)) * z. [hyper(236,a,6833,a(flip),b,11022,a(flip))]. given #10104 (H,wt=17): 11042 (K(x,y) * z) * T(y * x,z) = (x * y) * z. [para(4971(a,1),11041(a,2,1))]. given #10105 (H,wt=15): 11043 (x * y) * (K(y,x) * z) = (y * x) * z. [hyper(236,a,10144,a(flip),b,11042,a(flip)),flip(a)]. given #10106 (H,wt=10): 11046 L(x,K(y,z),z * y) = x. [hyper(781,a,11043,a)]. given #10107 (H,wt=10): 11054 L(x,K(y \ z,y),z) = x. [para(14(a,1),11046(a,1,3))]. given #10108 (H,wt=10): 11055 L(x,K(y,y \ z),z) = x. [para(4998(a,1),11054(a,1,2))]. given #10109 (H,wt=12): 11056 L(x,K(y \ 1,z),y \ z) = x. [para(5693(a,1),11054(a,1,2))]. given #10110 (H,wt=15): 11044 (x * y) \ ((y * x) * z) = K(y,x) * z. [hyper(72,a,11042,a(flip),b,10144,a(flip))]. given #10111 (H,wt=15): 11048 K(x,y) * ((x * y) \ z) = (y * x) \ z. [hyper(72,a,14,a(flip),b,11043,a),flip(a)]. given #10112 (H,wt=15): 11049 K(x,y) * ((y * x) * z) = (x * y) * z. [hyper(236,a,10710,a,b,11043,a(flip)),flip(a)]. given #10113 (H,wt=15): 11050 K(x,y) \ ((x * y) * z) = (y * x) * z. [hyper(72,a,11043,a(flip),b,10710,a)]. given #10114 (H,wt=10): 11081 L(x,y * z,K(z,y)) = x. [hyper(6091,a,11050,a)]. given #10115 (H,wt=12): 11083 L(x,T(y,z) * z,K(z,y)) = x. [para(4993(a,1),11081(a,1,3))]. given #10116 (H,wt=11): 11084 L(x,y,T(z,y)) = L(x,y,z). [hyper(6987,a,11083,a),flip(a)]. given #10117 (H,wt=13): 11085 L(x,y,z / y) = L(x,y,y \ z). [para(121(a,1),11084(a,1,3)),flip(a)]. given #10118 (H,wt=14): 11087 L(x \ y,x,x \ y) = T(y / x,y). [hyper(728,a,11085,a),flip(a)]. given #10119 (H,wt=14): 11088 L(x \ 1,x,x \ y) = y \ (y / x). [hyper(236,a,350,a(flip),b,11085,a(flip))]. given #10120 (H,wt=15): 11059 (x * y) \ (K(x,y) * z) = (y * x) \ z. [hyper(17,a,10760,a(flip),b,11048,a)]. given #10121 (H,wt=15): 11068 (K(x,y) * z) / ((y * x) \ z) = x * y. [hyper(586,a,11049,a)]. given #10122 (H,wt=15): 11069 (x * y) * ((y * x) \ z) = K(x,y) * z. [hyper(307,a,11049,a),flip(a)]. given #10123 (H,wt=15): 11093 ((x \ y) * x) \ (x \ y) = y \ (y / x). [hyper(710,a,11088,a)]. given #10124 (H,wt=15): 11094 (x \ y) / (y \ (y / x)) = (x \ y) * x. [para(11088(a,1),353(a,1,2))]. given #10125 (H,wt=16): 11089 x * L(y,z,z \ x) = (x / z) * (z * y). [para(11085(a,1),434(a,1,2))]. given #10126 (H,wt=16): 11100 x \ ((x / y) * (y * z)) = L(z,y,y \ x). [hyper(80,a,11089,a)]. given #10127 (H,wt=17): 11047 x * (K(y \ x,y) * z) = ((y \ x) * y) * z. [hyper(515,a,11043,a)]. given #10128 (H,wt=17): 11060 K(x,x \ y) * (y \ z) = ((x \ y) * x) \ z. [para(14(a,1),11048(a,1,2,1))]. given #10129 (H,wt=17): 11061 T(x,y) * ((x * y) \ z) = x * ((y * x) \ z). [para(11048(a,1),4856(a,1,2)),flip(a)]. given #10130 (H,wt=17): 11071 K(x \ y,x) * (y * z) = ((x \ y) * x) * z. [para(14(a,1),11049(a,1,2,1))]. given #10131 (H,wt=17): 11072 K(x,y / x) * (y * z) = (x * (y / x)) * z. [para(16(a,1),11049(a,1,2,1))]. given #10132 (H,wt=17): 11082 L(x,K(y,z),z * y) = L(x,u * w,K(w,u)). [hyper(236,a,11046,a,b,11081,a),flip(a)]. given #10133 (H,wt=13): 11108 L(x,K(y,z),z * y) != u | u = x. [para(11082(a,2),3613(a,1))]. given #10134 (H,wt=17): 11090 L(x \ y,x,x \ y) != z | T(y / x,y) = z. [para(11085(a,1),728(a,1))]. given #10135 (H,wt=17): 11097 ((x \ y) * x) * (y \ z) = K(x \ y,x) * z. [para(14(a,1),11069(a,1,2,1))]. given #10136 (H,wt=17): 11107 K(x,x \ y) * (y * z) = (x * (y / x)) * z. [para(4994(a,1),11072(a,1,1))]. given #10137 (H,wt=17): 11109 (x * (y / x)) \ (K(x,x \ y) * (y * z)) = z. [hyper(545,a,11107,a)]. given #10138 (H,wt=10): 11110 L(x,y,K(z,z \ y)) = x. [hyper(5300,a,11109,a)]. given #10139 (H,wt=14): 11111 L(x,y,K(z,z \ y)) = (x * u) / u. [hyper(236,a,15,a,b,11110,a)]. given #10140 (H,wt=13): 11112 L(x,y,K(z,z \ y)) != u | u = x. [para(11111(a,2),296(a,1))]. given #10141 (H,wt=18): 11058 (x * y) * (K(y,x) * z) != u | (y * x) * z = u. [para(11044(a,1),216(a,1,2)),flip(b)]. given #10142 (H,wt=18): 11063 K((x * y) \ z,x) != u | K((y * x) \ z,x) = u. [para(11048(a,1),7504(a,1,1))]. given #10143 (H,wt=18): 11066 K((x * y) \ z,y) != u | K((y * x) \ z,y) = u. [para(11048(a,1),8415(a,1,1))]. given #10144 (H,wt=18): 11067 T(x,(x * y) \ z) != u | T(x,(y * x) \ z) = u. [para(11048(a,1),8615(a,1,2))]. given #10145 (H,wt=18): 11073 K(x,y) * (y * (x * z)) = (x * y) * L(z,x,y). [para(103(a,1),11049(a,1,2))]. given #10146 (H,wt=18): 11114 x * (K(y,x) * (y * z)) = (y * x) * L(z,y,x). [hyper(5879,a,11073,a)]. given #10147 (H,wt=16): 11115 (x * y) * L(z,x,y) = y * (T(x,y) * z). [para(4906(a,1),11114(a,1,2)),flip(a)]. given #10148 (H,wt=11): 11116 L(x,T(y,z),z) = L(x,y,z). [hyper(780,a,11115,a)]. given #10149 (H,wt=13): 11122 L(x,y / z,z) = L(x,z \ y,z). [para(121(a,1),11116(a,1,2)),flip(a)]. given #10150 (H,wt=16): 11117 (x * (T(y,x) * z)) / L(z,y,x) = y * x. [hyper(87,a,11115,a)]. given #10151 (H,wt=16): 11118 L(x,y,z) = (y * z) \ (z * (T(y,z) * x)). [hyper(80,a,11115,a),flip(a)]. given #10152 (H,wt=16): 11119 L(T(x,y) \ z,x,y) = (x * y) \ (y * z). [hyper(72,a,88,a(flip),b,11115,a),flip(a)]. given #10153 (H,wt=17): 11123 L(x,(y \ z) \ z,y \ z) = L(x,y,y \ z). [para(120(a,1),11116(a,1,2))]. given #10154 (H,wt=18): 11121 L(L(x,y,z),K(u,w),w * u) = L(x,T(y,z),z). [hyper(236,a,11046,a,b,11116,a),flip(a)]. given #10155 (H,wt=14): 11129 L(x,T(y,z),z) != u | L(x,y,z) = u. [para(11121(a,1),11108(a,1)),flip(b)]. given #10156 (H,wt=15): 11130 T(x,y) != z | L(T(x,y),u,K(w,x)) = z. [para(7402(a,1),11129(a,1))]. given #10157 (H,wt=18): 11128 (x * y) \ (y * (x * z)) = L(K(y,x) * z,x,y). [para(5207(a,1),11118(a,2,2,2)),flip(a)]. given #10158 (H,wt=19): 11057 (x * K(y,y \ x)) \ z = K(y \ x,y) * (x \ z). [hyper(236,a,5277,a(flip),b,11055,a(flip)),flip(a)]. given #10159 (H,wt=17): 11131 K(x \ y,x) * (y \ z) = (x * (y / x)) \ z. [para(5079(a,1),11057(a,1,1)),flip(a)]. given #10160 (H,wt=19): 11064 K(x,y * ((z * x) \ u)) = K(x,y * ((x * z) \ u)). [para(11048(a,1),7690(a,1,2,2))]. given #10161 (H,wt=19): 11065 K(x * ((y * z) \ u),z) = K(x * ((z * y) \ u),z). [para(11048(a,1),7717(a,1,1,2))]. given #10162 (H,wt=19): 11070 ((x * y) / x) \ ((x * y) * z) = y \ ((y * x) * z). [hyper(72,a,11049,a(flip),b,5202,a)]. given #10163 (H,wt=19): 11078 K(x \ ((y * z) * u),z) = K(x \ ((z * y) * u),z). [para(11049(a,1),8691(a,1,1,2)),flip(a)]. given #10164 (H,wt=19): 11098 (x \ y) / (y \ (y / x)) = (y / x) * (y / (y / x)). [hyper(236,a,3954,a,b,11094,a)]. given #10165 (H,wt=19): 11104 (x \ y) \ (((x \ y) * x) * z) = (y / x) \ (y * z). [hyper(72,a,11071,a(flip),b,5416,a)]. given #10166 (H,wt=19): 11135 ((x \ y) * x) * (y \ z) = y * ((x * (y / x)) \ z). [para(11131(a,1),11047(a,1,2)),flip(a)]. given #10167 (H,wt=17): 11137 x * ((y * (x / y)) \ z) = K(y \ x,y) * z. [hyper(236,a,11097,a(flip),b,11135,a(flip))]. given #10168 (H,wt=20): 11053 (x * y) * (T(x,y) \ z) != u | (y * x) * (x \ z) = u. [para(11043(a,1),5341(a,1))]. given #10169 (H,wt=20): 11092 L(x \ T(y,x \ y),x,x \ T(y,x \ y)) = y / x. [hyper(236,a,9425,a(flip),b,11087,a)]. given #10170 (H,wt=20): 11099 (x \ y) * (T(x,x \ y) * z) = y * L(z,x,x \ y). [hyper(236,a,5781,a,b,11089,a),flip(a)]. given #10171 (H,wt=20): 11101 L(x \ T(y,z / x),x,x \ z) = z \ (y * (z / x)). [hyper(72,a,166,a(flip),b,11089,a),flip(a)]. given #10172 (H,wt=20): 11105 ((x \ y) * x) * (y \ z) != u | K(x \ y,x) * z = u. [para(11071(a,1),307(a,1))]. given #10173 (H,wt=20): 11127 L((x / y) \ z,y \ x,y) = (y * (x / y)) \ (y * z). [hyper(236,a,105,a(flip),b,11122,a(flip))]. given #10174 (H,wt=21): 11062 K(x,(R(x,y,z) * u) \ w) = K(x,(u * R(x,y,z)) \ w). [para(11048(a,1),7440(a,1,2))]. given #10175 (H,wt=21): 11076 K(x,y) * ((y * R(x,z,u)) * x) = (x * y) * R(x,z,u). [para(1913(a,2),11049(a,1,2))]. given #10176 (H,wt=21): 11077 K(T(x,y),z) * ((z * x) * y) = (T(x,y) * z) * T(y,x). [para(7618(a,1),11049(a,1,2))]. given #10177 (H,wt=21): 11133 (x \ y) \ ((z * (x / z)) \ y) = K(z \ x,T(z,x \ y)). [hyper(72,a,11131,a(flip),b,7281,a)]. given #10178 (H,wt=21): 11140 K(x,T(y,z)) * ((y * x) * z) = (T(x,z) * y) * T(z,x). [hyper(8496,a,11077,a)]. given #10179 (H,wt=22): 11052 (x * y) * (K(y,x) * z) != u * w | u \ ((y * x) * z) = w. [para(11043(a,2),545(a,1))]. given #10180 (H,wt=22): 11074 K(x,y) * ((y * x) * z) != u * w | u \ ((x * y) * z) = w. [para(11049(a,2),545(a,1))]. given #10181 (H,wt=22): 11091 K(L(x \ y,x,x \ z),T(u,z)) = K(((z / x) * y) / z,u). [para(11085(a,1),8129(a,1,1))]. given #10182 (H,wt=22): 11141 (x \ y) \ ((z * (x / z)) \ y) != u | K(z \ x,T(z,y)) = u. [para(11133(a,2),8876(a,1))]. given #10183 (H,wt=23): 11080 K(x,T(y,z)) * ((y * x) * u) = K(y,K(x,z)) * ((x * y) * u). [para(11049(a,1),10512(a,1,2))]. given #10184 (H,wt=23): 11103 K(x * (((y \ z) * y) \ u),y \ z) = K(x * (z \ u),y \ z). [para(11060(a,1),7718(a,1,1,2))]. given #10185 (H,wt=23): 11120 (x * y) * L(z,x,y) != u * w | u \ (y * (T(x,y) * z)) = w. [para(11115(a,2),545(a,1))]. given #10186 (H,wt=23): 11134 T((x * (y / x)) \ z,K(x,x \ y)) = (y \ z) * K(x \ y,x). [para(11131(a,1),7988(a,1,1))]. given #10187 (H,wt=23): 11139 K(x,T(y / (R(x,z,u) * w),y)) = K(x,(w * R(x,z,u)) \ y). [hyper(7821,a,11062,a)]. given #10188 (H,wt=24): 11045 (K(x,y) * z) * T(y * x,z) != u * w | u \ ((x * y) * z) = w. [para(11042(a,2),545(a,1))]. given #10189 (H,wt=24): 11095 (x \ (x / (y \ 1))) \ y = (L(y,y \ 1,(y \ 1) \ x) \ 1) * y. [para(11088(a,1),6963(a,1,1))]. given #10190 (H,wt=24): 11106 K(x \ y,x) * (y * z) != u * w | u \ (((x \ y) * x) * z) = w. [para(11071(a,2),545(a,1))]. given #10191 (H,wt=24): 11142 K(x,(y * R(x,z,u)) \ w) != v5 | K(x,(R(x,z,u) * y) \ w) = v5. [para(11139(a,1),7297(a,1))]. given #10192 (H,wt=25): 11031 K(x,x \ ((y \ 1) \ (x * z))) = K(x,z / T(y \ 1,y * (x * z))). [para(4408(a,1),11030(a,1,2,2))]. given #10193 (H,wt=21): 11143 K(x,y / T(z \ 1,z * (x * y))) = K(x,(z \ 1) \ y). [hyper(236,a,10655,a(flip),b,11031,a(flip))]. given #10194 (H,wt=25): 11096 (((x * y) / x) * x) \ (K((x * y) / x,x) * z) = (T(x,y) * y) \ z. [para(3875(a,2),11059(a,2,1))]. given #10195 (H,wt=21): 11144 (x * y) \ (K((x * y) / x,x) * z) = (T(x,y) * y) \ z. [para(16(a,1),11096(a,1,1))]. given #10196 (H,wt=21): 11146 (x * y) \ (K(x \ (x * y),x) * z) = (T(x,y) * y) \ z. [para(4997(a,1),11144(a,1,2,1))]. given #10197 (H,wt=17): 11147 (x * y) \ (K(y,x) * z) = (T(x,y) * y) \ z. [para(13(a,1),11146(a,1,2,1,1))]. given #10198 (H,wt=17): 11148 K(x,y) * ((y * x) \ z) = (T(y,x) * x) \ z. [hyper(236,a,10760,a(flip),b,11147,a(flip)),flip(a)]. given #10199 (H,wt=25): 11136 K(x \ ((y * x) * z),x) * (((x * y) * z) / x) = x \ ((x * y) * z). [para(11078(a,2),5020(a,1,1))]. given #10200 (H,wt=27): 11079 K(x,y) * ((y * R(x,z,R(x,u,w))) * v5) = (R(x,z,R(x,u,w)) * y) * v5. [para(8782(a,1),11049(a,1,1))]. given #10201 (H,wt=23): 11150 (R(x,y,R(x,z,u)) * w) * x = (x * w) * R(x,y,R(x,z,u)). [hyper(236,a,11076,a(flip),b,11079,a(flip))]. given #10202 (H,wt=28): 11015 T(R(x,y,z),(u * (y * z)) / ((x * y) * z)) = T(R(x,y,z),u / R(x,y,z)). [para(492(a,1),11013(a,1,2))]. given #10203 (H,wt=28): 11113 (K(x,y) * z) * (K(y,T(x,z)) * u) != w | (z * K(x,y)) * (K(y,x) * u) = w. [para(7295(a,1),11058(a,1,2))]. given #10204 (H,wt=28): 11151 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),y / R(x,z,u)). [hyper(236,a,42,a,b,11015,a(flip)),flip(a)]. given #10205 (H,wt=28): 11152 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),R(x,z,u) \ y). [hyper(236,a,4119,a(flip),b,11151,a)]. given #10206 (H,wt=28): 11153 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = R(T(x,R(x,z,u) \ y),z,u). [hyper(236,a,42,a,b,11152,a)]. given #10207 (H,wt=28): 11154 R(T(x,x \ ((y * (z * u)) / (z * u))),z,u) = R(T(x,R(x,z,u) \ y),z,u). [para(11038(a,1),11153(a,1,1))]. given #10208 (H,wt=20): 11155 R(T(x,R(x,y,z) \ u),y,z) = R(T(x,x \ u),y,z). [para(15(a,1),11154(a,1,1,2,2)),flip(a)]. given #10209 (H,wt=17): 11156 R(T(x,x \ y),z,u) = (R(x,z,u) \ y) \ y. [hyper(561,a,11155,a),flip(a)]. given #10210 (H,wt=17): 11158 R((x \ y) \ y,z,u) = (R(x,z,u) \ y) \ y. [hyper(236,a,990,a(flip),b,11156,a(flip)),flip(a)]. given #10211 (H,wt=17): 11161 (R(x / y,z,u) \ x) \ x = R(y \ x,z,u). [para(65(a,1),11158(a,1,1,1)),flip(a)]. given #10212 (H,wt=19): 11159 (R(x,y,z) \ (x * u)) \ (x * u) = R(T(x,u),y,z). [para(13(a,1),11156(a,1,1,2)),flip(a)]. given #10213 (H,wt=19): 11160 (R(K(x,y),z,u) \ w) \ w = R(T(K(x,y),w),z,u). [para(8626(a,1),11156(a,1,1)),flip(a)]. given #10214 (H,wt=21): 11167 K(x,R(x / y,z,u) \ w) = K(x,R(y \ x,z,u) \ w). [para(11161(a,1),10133(a,1,2,1)),flip(a)]. given #10215 (H,wt=22): 11169 ((K(x,y) * z) * u) \ (z * u) = R(T(K(y,x),z * u),z,u). [para(6804(a,1),11160(a,1,1))]. given #10216 (H,wt=22): 11170 ((K(x,y) * z) * u) \ (z * u) = R(K(y,T(x,z * u)),z,u). [para(7256(a,2),11169(a,2,1))]. given #10217 (H,wt=24): 11168 R(T(x,R(x,y,z) * u),y,z) = (x * u) \ (x * (R(x,y,z) * u)). [para(1500(a,1),11159(a,1,1)),flip(a)]. given #10218 (H,wt=21): 11172 R(T(x,R(x,y,z) * u),y,z) = L(T(R(x,y,z),u),u,x). [hyper(236,a,178,a(flip),b,11168,a)]. given #10219 (H,wt=21): 11173 R(T(x,R(x,y,z) * u),y,z) = L(R(T(x,u),y,z),u,x). [para(42(a,2),11172(a,2,1))]. given #10220 (H,wt=20): 11174 R(T(x,R(x,y,z) * u),y,z) = R(T(x,x * u),y,z). [hyper(236,a,597,a(flip),b,11173,a)]. given #10221 (H,wt=25): 11175 R(T(x,x * y),z,u) \ R(x,z,u) = K(R(x,z,u) * y,R(x,z,u)). [para(11174(a,1),4839(a,1,1))]. given #10222 (H,wt=20): 11176 K(R(x,y,z) * u,R(x,y,z)) = K(x * u,R(x,y,z)). [hyper(5125,a,11175,a),flip(a)]. given #10223 (H,wt=20): 11177 K(x * R(y,z,u),R(y,z,u)) = K(y * x,R(y,z,u)). [hyper(8418,a,11176,a)]. given #10224 (H,wt=20): 11178 K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(y,z,u)). [hyper(236,a,10112,a,b,11177,a)]. given #10225 (H,wt=29): 11018 ((x * y) / x) / ((x * (y * K(y \ (z / u),y))) / x) = K(y,T(z / (y * u),x)). [para(11012(a,1),9124(a,1,2,1,2,2))]. given #10226 (H,wt=19): 11179 K(x,T(y / (x * z),u)) = K(x,T(x \ (y / z),u)). [hyper(9125,a,11018,a),flip(a)]. given #10227 (H,wt=17): 11180 K(x,T(x \ (y / z),y)) = K(x,(x * z) \ y). [hyper(7297,a,11179,a),flip(a)]. given #10228 (H,wt=17): 11181 K(x,T(x \ (y / z),y)) = K(x,z \ (x \ y)). [hyper(236,a,8280,a(flip),b,11180,a)]. given #10229 (H,wt=17): 11182 K(x,(y \ z) \ (x \ z)) = K(x,T(x \ y,z)). [para(62(a,1),11181(a,1,2,1,2)),flip(a)]. given #10230 (H,wt=28): 11183 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(1 / z) \ y)). [hyper(236,a,9166,a,b,11182,a(flip)),flip(a)]. given #10231 (H,wt=28): 11184 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(z \ 1) \ y)). [para(4501(a,1),11183(a,2,2))]. given #10232 (H,wt=26): 11185 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z \ 1)). [hyper(236,a,9351,a(flip),b,11184,a)]. given #10233 (H,wt=24): 11186 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z)). [hyper(236,a,9343,a(flip),b,11185,a)]. given #10234 (H,wt=15): 11187 K(x,x \ T(y,z)) = K(x,T(x \ y,z)). [hyper(10721,a,11186,a)]. given #10235 (H,wt=15): 11190 K(T(x,y),x \ z) = K(x,x \ T(z,y)). [hyper(236,a,7260,a,b,11187,a),flip(a)]. given #10236 (H,wt=17): 11189 K(x,T(T(x,y) \ z,u)) = K(x,x \ T(z,u)). [hyper(236,a,8882,a,b,11187,a),flip(a)]. given #10237 (H,wt=17): 11192 K(K(x,y) * z,z \ x) = K(z,T(z \ x,y)). [hyper(236,a,8967,a,b,11187,a(flip)),flip(a)]. given #10238 (H,wt=17): 11193 x * K(x,T(x \ y,z)) = T(x,x \ T(y,z)). [para(11187(a,1),4887(a,2,2)),flip(a)]. given #10239 (H,wt=15): 11199 T(x,x \ T(y,z)) = T(x,T(x \ y,z)). [hyper(4890,a,11193,a),flip(a)]. given #10240 (H,wt=18): 11188 K(x,T(x \ y,z)) != u | K(x,x \ T(y,z)) = u. [para(11186(a,1),10721(a,1))]. given #10241 (H,wt=18): 11196 K(x,x \ T(y,z)) != u | K(x,T(x \ y,z)) = u. [para(11190(a,1),7823(a,1))]. given #10242 (H,wt=19): 11194 K(x,T(x \ y,z)) * T(y,z) = x * (T(y,z) / x). [para(11187(a,1),4909(a,1,1))]. given #10243 (H,wt=19): 11202 K(x,T(x \ y,z)) * T(y,z) = T(x * (y / x),z). [hyper(236,a,4615,a,b,11194,a)]. given #10244 (H,wt=20): 11201 K(K(x,y) * z,z \ x) != u | K(z,T(z \ x,y)) = u. [para(8967(a,2),11196(a,1))]. given #10245 (H,wt=21): 11197 x / (x * K(y,y \ T(z,u))) = K(y \ z,T(T(y,u),x)). [para(11190(a,1),8157(a,1,2,2))]. given #10246 (H,wt=19): 11203 K(x \ T(y,z),T(x,u)) = K(x \ y,T(T(x,z),u)). [hyper(8158,a,11197,a)]. given #10247 (H,wt=22): 11195 T(x,y) * K(z,T(z \ x,y)) != u | z * (T(x,y) / z) = u. [para(11187(a,1),5323(a,1,2))]. given #10248 (H,wt=22): 11200 T((x \ y) * x,z) \ T(y,z) != u | K(x,T(x \ y,z)) = u. [para(4657(a,2),11196(a,1))]. given #10249 (H,wt=23): 11198 K(x,T(x \ y,z)) * (K(y,z) * x) = T(K(y,z) * x,x \ y). [para(11192(a,1),4897(a,2,1)),flip(a)]. given #10250 (H,wt=19): 11204 T(K(x,y) * z,z \ x) = T(z,z \ x) * K(x,y). [hyper(236,a,9673,a(flip),b,11198,a(flip))]. given #10251 (H,wt=23): 11205 (x \ y) * T(K(y,z) * x,x \ y) = (y / x) * (x * K(y,z)). [para(11204(a,2),5781(a,1,2))]. given #10252 (H,wt=19): 11206 (K(x,y) * z) * (z \ x) = (x / z) * (z * K(x,y)). [hyper(220,a,11205,a)]. given #10253 (H,wt=29): 11075 (K(x,y) * (y * (x * z))) \ ((x * y) * z) = L(a(y,x,z),y * (x * z),K(x,y)). [para(11049(a,1),455(a,1,2))]. given #10254 (H,wt=29): 11157 (R(x,y,z) * u) / (R(T(x,x \ w),y,z) * u) = K(R(x,y,z) \ w,R(x,y,z)). [para(11155(a,1),5348(a,1,2,1))]. given #10255 (H,wt=20): 11208 K(R(x,y,z) \ u,R(x,y,z)) = K(x \ u,R(x,y,z)). [hyper(5615,a,11157,a),flip(a)]. given #10256 (H,wt=23): 11209 K(R(x,y,z) \ u,R(x,y,z)) != w | K(x \ u,R(x,y,z)) = w. [para(11157(a,1),5615(a,1))]. given #10257 (H,wt=29): 11207 (x * (K(y,x) * (y * z))) \ ((y * x) * z) = L(a(x,y,z),x * (y * z),K(y,x)). [para(5363(a,1),11075(a,1,1))]. given #10258 (H,wt=27): 11212 L(a(x,y,z),x * (y * z),K(y,x)) = (x * (T(y,x) * z)) \ ((y * x) * z). [para(4906(a,1),11207(a,1,1,2)),flip(a)]. given #10259 (H,wt=31): 10984 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(T(x,y * z),u / (x * (y * z))). [para(119(a,1),10980(a,1,2,2)),flip(a)]. given #10260 (H,wt=31): 11164 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u))) \ y. [para(5670(a,1),11158(a,2,1))]. given #10261 (H,wt=26): 11214 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ y) \ T(y,R(x,z,u)). [hyper(236,a,6179,a(flip),b,11164,a)]. given #10262 (H,wt=24): 11215 (R(x,y,z) \ u) \ T(u,R(x,y,z)) = R((x \ u) \ T(u,x),y,z). [para(6177(a,1),11214(a,1,1)),flip(a)]. given #10263 (H,wt=31): 11211 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(11208(a,1),4810(a,1,1,2))]. given #10264 (H,wt=28): 11216 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(5658(a,1),11211(a,1,1))]. given #10265 (H,wt=28): 11217 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(236,a,42,a,b,11216,a(flip)),flip(a)]. given #10266 (H,wt=25): 11218 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = R(L(x,x \ u,x),y,z). [para(4810(a,1),11217(a,1,1)),flip(a)]. given #10267 (H,wt=25): 11219 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = L(R(x,y,z),x \ u,x). [hyper(236,a,44,a(flip),b,11218,a)]. given #10268 (H,wt=31): 11213 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,T(u / (x * (y * z)),y * z)). [hyper(236,a,7260,a(flip),b,10984,a)]. given #10269 (H,wt=27): 11221 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,(y * z) \ (x \ u)). [hyper(236,a,8766,a(flip),b,11213,a)]. given #10270 (H,wt=27): 11222 K(x,T(y / ((z * T(x,z * u)) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(7823,a,11221,a)]. given #10271 (H,wt=23): 11223 K(x,T(y / ((z * x) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(236,a,10543,a(flip),b,11222,a(flip)),flip(a)]. given #10272 (H,wt=19): 11225 K(x,((y * x) * z) \ u) = K(x,(y * z) \ (x \ u)). [hyper(236,a,9878,a(flip),b,11223,a(flip)),flip(a)]. given #10273 (H,wt=17): 11226 K(x,((y * x) * (y \ 1)) \ z) = K(x,x \ z). [para(125(a,1),11225(a,2,2))]. given #10274 (H,wt=18): 11227 K(x,a(x,y,y \ 1) \ z) = K(x,x \ (x * z)). [hyper(236,a,9906,a(flip),b,11226,a(flip)),flip(a)]. given #10275 (H,wt=14): 11229 K(x,a(x,y,y \ 1) \ z) = K(x,z). [para(13(a,1),11227(a,2,2))]. given #10276 (H,wt=14): 11230 K(x,a(x,y,y \ 1) * z) = K(x,z). [para(13(a,1),11229(a,1,2)),flip(a)]. given #10277 (H,wt=23): 11232 T((a(x,y,y \ 1) * z) * K(x,z),x) = a(x,y,y \ 1) * z. [para(11230(a,1),4853(a,1,1,2))]. given #10278 (H,wt=23): 11233 T(a(x,y,y \ 1) * (z * K(x,z)),x) = a(x,y,y \ 1) * z. [para(7701(a,1),11232(a,1,1))]. given #10279 (H,wt=34): 11132 (x \ y) \ L((x / (y / z)) \ z,x / (y / z),y / z) = T(K((y / z) \ x,y / z),x \ y). [hyper(394,a,454,a,b,11131,a),flip(a)]. given #10280 (H,wt=34): 11234 (x \ y) \ L((x / (y / z)) \ z,x / (y / z),y / z) = T(K(y \ (z * x),y / z),x \ y). [para(10757(a,1),11132(a,2,1))]. given #10281 (H,wt=34): 11235 (x \ y) \ L((x / (y / z)) \ z,x / (y / z),y / z) = K(y \ (z * x),T(y / z,x \ y)). [hyper(236,a,7256,a,b,11234,a)]. given #10282 (H,wt=29): 11236 (x \ y) \ (((y / z) * (x / (y / z))) \ y) = K(y \ (z * x),T(y / z,x \ y)). [para(454(a,1),11235(a,1,2))]. given #10283 (H,wt=25): 11237 K(x \ (y * z),T(x / y,z \ x)) = K((x / y) \ z,T(x / y,x)). [hyper(11141,a,11236,a),flip(a)]. given #10284 (H,wt=23): 11238 K(x \ (y * z),T(x / y,z \ x)) = K((x / y) \ z,y \ x). [hyper(236,a,7271,a(flip),b,11237,a)]. given #10285 (H,wt=23): 11239 K(x \ (y * z),T(x / y,z \ x)) = K(x \ (y * z),y \ x). [hyper(236,a,10750,a(flip),b,11238,a)]. given #10286 (H,wt=35): 8604 (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(8603(a,1),564(a,1,2))]. given #10287 (H,wt=15): 11240 R(x,x \ 1,y \ R(y,x \ 1,y)) = x. [hyper(8604,a,8752,a)]. given #10288 (H,wt=13): 11241 R(x,x \ 1,a(y,x \ 1,y)) = x. [para(9038(a,1),11240(a,1,3))]. given #10289 (H,wt=19): 11242 (x \ 1) * a(y,x \ 1,y) = x \ a(y,x \ 1,y). [para(11241(a,1),387(a,1,1)),flip(a)]. given #10290 (H,wt=20): 11243 T(x \ a(y,x \ 1,y),y) = y \ T(y * (x \ 1),y). [para(11242(a,1),9066(a,1,1))]. given #10291 (H,wt=35): 8780 (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(7196(a,1),5184(a,1,1,2))]. given #10292 (H,wt=33): 11245 (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(4856(a,1),8780(a,1,1))]. given #10293 (H,wt=21): 11246 a(x,K(x,y) * z,R(x,u,w)) = a(T(x,y),z,R(x,u,w)). [hyper(679,a,11245,a),flip(a)]. given #10294 (H,wt=23): 11248 a(T(x,y),T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [para(5178(a,1),11246(a,1,2)),flip(a)]. given #10295 (H,wt=24): 11247 a(x,K(x,y) * z,R(x,u,w)) != v5 | a(T(x,y),z,R(x,u,w)) = v5. [para(11245(a,1),679(a,1))]. given #10296 (H,wt=35): 9605 K(K(x,y) * z,T((K(x,y) * z) \ z,u)) = ((u * (K(x,y) * z)) / u) / ((u * (z / K(y,x))) / u). [para(5266(a,1),9128(a,1,2,1,2,2)),flip(a)]. given #10297 (H,wt=35): 9861 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(6212(a,1),9859(a,2,1))]. given #10298 (H,wt=32): 11250 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(236,a,8806,a(flip),b,9861,a)]. given #10299 (H,wt=27): 11251 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,z),L(z,u,w),y). [para(263(a,1),11250(a,2,1,2))]. given #10300 (H,wt=13): 11252 L(K(x,y),L(y,z,u),w) = K(x,y). [para(1661(a,1),11251(a,1,2)),flip(a)]. given #10301 (H,wt=11): 11254 a(x,L(y,z,u),K(w,y)) = 1. [hyper(73,a,11252,a,b,10178,a),flip(a)]. given #10302 (H,wt=19): 11253 K((x \ 1) * L(y,z,u),y) = K(x \ L(y,z,u),y). [hyper(6596,a,11252,a)]. given #10303 (H,wt=21): 11255 K((x \ y) \ L(z,u,w),z) = K(y \ (x * L(z,u,w)),z). [hyper(236,a,6568,a(flip),b,11252,a(flip))]. given #10304 (H,wt=35): 9884 ((K(x,y) \ z) * ((K(x,y) \ 1) \ 1)) * K(u,x) = ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)). [para(3004(a,1),9875(a,1,1))]. given #10305 (H,wt=35): 9986 K(x / y,T(z,u)) \ T(x / (K(y \ x,z) \ x),u) = K(K(x / y,z) \ x,T(K(x / y,z),u)). [para(8119(a,1),7294(a,1,2,1,2))]. given #10306 (H,wt=31): 11257 K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(x / y,T(z,u)) \ T(K(y \ x,z),u). [para(62(a,1),9986(a,1,2,1)),flip(a)]. given #10307 (H,wt=31): 11259 K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(x / y,T(z,u)) \ K(y \ x,T(z,u)). [para(7256(a,2),11257(a,2,2))]. given #10308 (H,wt=31): 11260 K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(z,T(x / y,u)) * K(y \ x,T(z,u)). [hyper(236,a,7323,a(flip),b,11259,a)]. given #10309 (H,wt=25): 11261 K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(y / z,K(y,T(x,u))). [hyper(236,a,8256,a(flip),b,11260,a(flip))]. given #10310 (H,wt=26): 11263 K(x,T(y / z,u)) * K(z \ y,T(x,u)) != w | K(y,K(z,T(x,u))) = w. [para(11261(a,2),9273(a,1))]. given #10311 (H,wt=35): 10496 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(10495(a,1),20(a,1)),flip(a)]. given #10312 (H,wt=35): 10507 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(10502(a,1),4635(a,1,1,2,1)),flip(a)]. given #10313 (H,wt=31): 11264 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(236,a,8191,a(flip),b,10507,a)]. given #10314 (H,wt=35): 10755 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(4563(a,1),10654(a,1,2,2,1,2))]. given #10315 (H,wt=32): 11265 K(L(x,y,z),x \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(236,a,10822,a(flip),b,10755,a(flip)),flip(a)]. given #10316 (H,wt=28): 11266 K(L(x,y,z),(u * (1 / L(x,y,z))) \ w) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(10794,a,11265,a)]. given #10317 (H,wt=28): 11267 K(L(x,y,z),L(x,y,z) * ((u * 1) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(10885,a,11266,a)]. given #10318 (H,wt=26): 11268 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [para(12(a,1),11267(a,1,2,2,1))]. given #10319 (H,wt=26): 11269 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (x \ 1)) \ w). [hyper(236,a,5489,a(flip),b,11268,a)]. given #10320 (H,wt=26): 11270 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * ((u * 1) \ w)). [hyper(236,a,10915,a(flip),b,11269,a)]. given #10321 (H,wt=24): 11271 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * (u \ w)). [para(12(a,1),11270(a,2,2,2,1))]. given #10322 (H,wt=35): 10759 ((x * y) * (T(z,u) * u)) / ((y * (z * u)) * K(z,u)) = R(R(x,y,z * u),y * (z * u),K(z,u)). [para(10758(a,1),468(a,1,1))]. given #10323 (H,wt=33): 11272 R(R(x,y,z * u),y * (z * u),K(z,u)) = ((x * y) * (T(z,u) * u)) / (y * (T(z,u) * u)). [para(10758(a,1),10759(a,1,2)),flip(a)]. given #10324 (H,wt=27): 11273 R(R(x,y,z * u),y * (z * u),K(z,u)) != w | R(x,y,T(z,u) * u) = w. [para(11272(a,2),475(a,1))]. given #10325 (H,wt=35): 10801 (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(9178(a,2),10800(a,1,1))]. given #10326 (H,wt=35): 10914 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),10823(a,2,2,2))]. given #10327 (H,wt=33): 11274 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(7316(a,1),10914(a,2,2))]. given #10328 (H,wt=35): 11171 ((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(8449(a,1),11170(a,2,1))]. given #10329 (H,wt=35): 11249 K(K(x,y) * z,T((K(x,y) * z) \ z,u)) = ((u * (K(x,y) * z)) / u) / ((u * (z * K(x,y))) / u). [para(7547(a,1),9605(a,2,2,1,2))]. given #10330 (H,wt=33): 11276 ((x * (K(y,z) * u)) / x) / ((x * (u * K(y,z))) / x) = K(K(y,z) * u,T(K(z,T(y,u)),x)). [para(7591(a,1),11249(a,1,2,1)),flip(a)]. given #10331 (H,wt=33): 11277 ((x * (K(y,z) * u)) / x) / ((x * (u * K(y,z))) / x) = K(K(y,z) * u,K(z,T(T(y,u),x))). [para(7256(a,2),11276(a,2,2))]. given #10332 (H,wt=33): 11278 ((x * (K(y,z) * u)) / x) / ((x * (u * K(y,z))) / x) = K(z,K(K(y,z) * u,T(T(y,u),x))). [hyper(236,a,7919,a,b,11277,a)]. given #10333 (H,wt=35): 11256 ((K(x,y) * z) * ((K(y,x) \ 1) \ 1)) * K(u,y) = ((1 / (1 / K(y,x))) \ z) * (K(y,x) * K(u,y)). [para(5260(a,1),9884(a,1,1,1))]. given #10334 (H,wt=31): 11279 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = ((K(y,x) * z) * K(x,y)) * K(u,x). [para(2301(a,1),11256(a,1,1,2)),flip(a)]. given #10335 (H,wt=27): 11280 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z,K(x,y)) * K(u,x). [para(7395(a,1),11279(a,2,1))]. given #10336 (H,wt=27): 11281 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [hyper(236,a,8934,a,b,11280,a)]. given #10337 (H,wt=23): 11282 (K(x,y) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [para(2304(a,1),11281(a,1,1,1))]. given #10338 (H,wt=23): 11283 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(y,x)). [para(5260(a,1),11282(a,1,1))]. given #10339 (H,wt=23): 11284 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(x,y)). [hyper(236,a,7981,a,b,11283,a)]. given #10340 (H,wt=23): 11285 (K(x,y) * z) * (K(u,y) * K(y,x)) = T(z * K(u,y),K(x,y)). [para(2192(a,1),11284(a,1,2))]. given #10341 (H,wt=35): 11275 (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(5979(a,1),11171(a,1,1))]. given #10342 (H,wt=33): 11287 (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(8047(a,1),11275(a,1,1,2))]. given #10343 (H,wt=19): 11288 R(K(x,L(y,z,L(y,u,w))),L(y,u,w),z) = K(x,y). [hyper(8946,a,11287,a),flip(a)]. given #10344 (H,wt=13): 11289 R(K(x,y),L(y,z,u),w) = K(x,y). [para(9776(a,1),11288(a,1,1))]. given #10345 (H,wt=21): 11290 K((L(x,y,z) * u) / w,x) = K(L(x,y,z) / (w / u),x). [hyper(236,a,6689,a(flip),b,11289,a(flip)),flip(a)]. given #10346 (H,wt=21): 11292 K((L(x,y,z) * u) / w,x) = K((w / u) \ L(x,y,z),x). [hyper(236,a,6309,a(flip),b,11290,a)]. given #10347 (H,wt=25): 11293 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((u / w) \ L(x,y,z),x). [hyper(236,a,10494,a,b,11292,a(flip)),flip(a)]. given #10348 (H,wt=24): 11294 K((x / y) \ L(z,u,w),z) != v5 | K(y / (L(z,u,w) \ x),z) = v5. [para(11293(a,1),8395(a,1))]. given #10349 (H,wt=36): 4239 x * (R(y,x,y) * L(R(y,x,y) \ (x \ z),u,w)) = T(y * x,y) * L((x * R(y,x,y)) \ z,u,w). [para(4227(a,1),955(a,1,1)),flip(a)]. given #10350 (H,wt=35): 11295 x * (R(y,x,y) * L(R(y,x,y) \ (x \ z),u,w)) = T(y * x,y) * L(T(y * x,y) \ z,u,w). [para(4227(a,1),4239(a,2,2,1,1))]. given #10351 (H,wt=36): 8734 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(8697(a,1),5671(a,1,1,1,2))]. given #10352 (H,wt=25): 11296 K(R(x \ y,z,u),w \ (y / x)) = K(R(x \ y,z,u),w \ (x \ y)). [hyper(7668,a,8734,a),flip(a)]. given #10353 (H,wt=36): 10516 (((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(10515(a,1),1523(a,1,1,1,1))]. given #10354 (H,wt=24): 11298 K(x,y) * (R(K(z,y),K(x,y),u) * u) = (K(z,y) * K(x,y)) * u. [para(15(a,1),10516(a,1,1,1)),flip(a)]. given #10355 (H,wt=36): 11220 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(11219(a,1),2088(a,1,1,1)),flip(a)]. given #10356 (H,wt=29): 11300 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(236,a,2088,a(flip),b,11220,a)]. given #10357 (H,wt=29): 11301 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),11300(a,2,3))]. given #10358 (H,wt=37): 3709 T((R(x \ R(x,y,z),x,y * z) \ 1) \ 1,x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(3696(a,2),2485(a,1,1,1,1))]. given #10359 (H,wt=37): 4710 ((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(4595(a,1),2566(a,1))]. given #10360 (H,wt=37): 4783 x / L(L(y \ 1,z,u) \ (y \ 1),L(1 / y,z,u),x / (1 / y)) = (x / (1 / y)) * L(1 / y,z,u). [para(4777(a,1),459(a,1,2,1))]. given #10361 (H,wt=37): 5771 ((x \ y) * z) \ (K(x \ y,x) * ((y / x) * (z * u))) = L(L(u,z,y / x),(y / x) * z,K(x \ y,x)). [para(5546(a,1),440(a,1,1))]. given #10362 (H,wt=31): 11304 L(L(x,y,z / u),(z / u) * y,K(u \ z,u)) = ((u \ z) * y) \ ((u \ z) * (y * x)). [para(5546(a,1),5771(a,1,2)),flip(a)]. given #10363 (H,wt=27): 11305 L(L(x,y,z / u),(z / u) * y,K(u \ z,u)) != w | L(x,y,u \ z) = w. [para(11304(a,2),447(a,1))]. given #10364 (H,wt=17): 11306 L(x \ y,z,y / x) = L(x \ y,z,x \ y). [hyper(11305,a,7194,a),flip(a)]. given #10365 (H,wt=37): 5962 (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = ((y * x) \ x) * R(((x * y) \ T(x,y)) \ 1,z,u). [para(5957(a,1),1542(a,1,1)),flip(a)]. given #10366 (H,wt=35): 11307 (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = ((y * x) \ x) * R(((y * x) \ x) \ 1,z,u). [para(5957(a,1),5962(a,2,2,1,1))]. given #10367 (H,wt=33): 11308 (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = (y * x) \ (x * R(x \ (y * x),z,u)). [hyper(236,a,1542,a(flip),b,11307,a)]. given #10368 (H,wt=31): 11309 (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = (y * x) \ (x * R(T(y,x),z,u)). [para(32(a,2),11308(a,2,2,2,1))]. given #10369 (H,wt=29): 11310 (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = (y * x) \ (R(y,z,u) * x). [para(182(a,1),11309(a,2,2))]. given #10370 (H,wt=25): 11311 (x * y) \ (T(x,y) * R(T(y,x),z,u)) = (y * x) \ (R(y,z,u) * x). [para(4110(a,1),11310(a,1,2,2,1))]. given #10371 (H,wt=23): 11312 (x * y) \ (R(y,z,u) * T(x,y)) = (y * x) \ (R(y,z,u) * x). [para(4123(a,1),11311(a,1,2))]. given #10372 (H,wt=28): 11313 ((x * y) * z) \ (R(z,x,y) * T(x * y,z)) = (z * (x * y)) \ ((z * x) * y). [para(113(a,1),11312(a,2,2))]. given #10373 (H,wt=37): 6528 K((x * (y / z)) \ x,((x * (y / z)) \ x) \ x) = (T(x * (y / z),z / y) * ((x * (y / z)) \ x)) \ x. [para(6400(a,2),97(a,1,1,1)),flip(a)]. given #10374 (H,wt=31): 11314 K((x * (y / z)) \ x,((x * (y / z)) \ x) \ x) = (K(x * (y / z),z / y) * x) \ x. [para(4857(a,1),6528(a,2,1))]. given #10375 (H,wt=37): 6899 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(5572(a,1),6897(a,1,2,1))]. given #10376 (H,wt=31): 11315 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,((y * z) * R(x,y,z)) / ((u * y) * z)). [hyper(236,a,10572,a(flip),b,6899,a(flip))]. given #10377 (H,wt=37): 6925 ((x * y) * K(R(y,x,x \ 1) \ (x * y),z)) / R(y,x,x \ 1) = T(((x * y) * (x \ 1)) \ (x * y),z). [para(6923(a,2),6275(a,2,1))]. given #10378 (H,wt=37): 7110 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(7107(a,1),2092(a,1,2,1,1))]. given #10379 (H,wt=31): 11317 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T(x \ L(x,z,u),y * x). [para(1051(a,1),7110(a,2,1))]. given #10380 (H,wt=37): 7111 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(7107(a,2),2092(a,1,1))]. given #10381 (H,wt=27): 11318 T((x \ 1) * L((x \ 1) \ 1,y,z),x * u) = T(x \ L(x,y,z),u * x). [hyper(236,a,11317,a(flip),b,7111,a(flip))]. given #10382 (H,wt=21): 11319 T(x \ L(x,y,z),u * x) = T(x \ L(x,y,z),x * u). [para(1051(a,1),11318(a,1,1)),flip(a)]. given #10383 (H,wt=37): 7704 x \ ((x / ((y * z) / y)) * ((((y * z) / y) \ K(y,z)) * ((y * z) / y))) = T(x \ (x / z),(y * z) / y). [para(7556(a,1),901(a,2,1,2))]. given #10384 (H,wt=31): 11320 x \ ((x / ((y * z) / y)) * ((z \ 1) * ((y * z) / y))) = T(x \ (x / z),(y * z) / y). [para(4886(a,1),7704(a,1,2,2,1))]. given #10385 (H,wt=29): 11322 x \ ((x / ((y * z) / y)) * ((T(z,y) \ 1) * z)) = T(x \ (x / z),(y * z) / y). [para(5810(a,1),11320(a,1,2,2))]. given #10386 (H,wt=27): 11323 (1 / ((x * y) / x)) * ((T(y,x) \ 1) * y) = T(1 \ (1 / y),(x * y) / x). [hyper(308,a,11322,a)]. given #10387 (H,wt=25): 11324 (1 / ((x * y) / x)) * ((T(y,x) \ 1) * y) = T(1 / y,(x * y) / x). [para(50(a,1),11323(a,2,1))]. given #10388 (H,wt=19): 11325 (1 / ((x * y) / x)) \ (y \ 1) = (T(y,x) \ 1) * y. [hyper(72,a,3189,a(flip),b,11324,a)]. given #10389 (H,wt=37): 8756 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(5265(a,1),7578(a,2,2))]. given #10390 (H,wt=37): 10083 (((1 * x) \ 1) \ 1) * (y \ (y / T(1 * x,x \ 1))) = ((1 * x) \ 1) \ (y \ (y / (1 / ((1 * x) \ 1)))). [para(6375(a,2),10082(a,1,2,2,2))]. given #10391 (H,wt=35): 11327 ((1 * x) \ 1) \ (y \ (y / (1 / ((1 * x) \ 1)))) = ((x \ 1) \ 1) * (y \ (y / T(1 * x,x \ 1))). [para(11(a,1),10083(a,1,1,1,1)),flip(a)]. given #10392 (H,wt=33): 11328 ((1 * x) \ 1) \ (y \ (y / (1 / ((1 * x) \ 1)))) = ((x \ 1) \ 1) * (y \ (y / T(x,x \ 1))). [para(11(a,1),11327(a,2,2,2,2,1))]. given #10393 (H,wt=31): 11329 ((1 * x) \ 1) \ (y \ (y / (1 / ((1 * x) \ 1)))) = ((x \ 1) \ 1) * T(y \ (y / x),x). [para(2782(a,1),11328(a,2,2))]. given #10394 (H,wt=29): 11330 ((1 * x) \ 1) \ (y \ (y / (1 / ((1 * x) \ 1)))) = (y \ (y / x)) * T(x,x \ 1). [hyper(236,a,3047,a(flip),b,11329,a)]. given #10395 (H,wt=25): 11331 ((1 * x) \ 1) \ (y \ (y / (1 / ((1 * x) \ 1)))) = x * (y \ (y / x)). [hyper(236,a,6388,a(flip),b,11330,a)]. given #10396 (H,wt=23): 11332 (x \ 1) \ (y \ (y / (1 / ((1 * x) \ 1)))) = x * (y \ (y / x)). [para(11(a,1),11331(a,1,1,1))]. given #10397 (H,wt=21): 11333 (x \ 1) \ (y \ (y / (1 / (x \ 1)))) = x * (y \ (y / x)). [para(11(a,1),11332(a,1,2,2,2,2,1))]. given #10398 (H,wt=17): 11334 (x \ 1) \ (y \ (y / x)) = x * (y \ (y / x)). [para(62(a,1),11333(a,1,2,2,2))]. given #10399 (H,wt=23): 11335 K(x \ 1,x) * (x * (y \ (y / x))) = (1 / x) \ (y \ (y / x)). [para(11334(a,1),2918(a,1,2))]. given #10400 (H,wt=23): 11337 x * (K(x \ 1,x) * (y \ (y / x))) = (1 / x) \ (y \ (y / x)). [hyper(5879,a,11335,a)]. given #10401 (H,wt=19): 11338 (1 / x) \ (y \ (y / x)) = x * T(y \ (y / x),x). [para(6338(a,1),11337(a,1,2)),flip(a)]. given #10402 (H,wt=17): 11339 (1 / x) \ (y \ (y / x)) = (y \ (y / x)) * x. [hyper(236,a,119,a(flip),b,11338,a)]. given #10403 (H,wt=21): 11340 (x \ (x / (y \ 1))) * (y \ 1) = y \ (x \ (x / (y \ 1))). [hyper(519,a,11339,a),flip(a)]. given #10404 (H,wt=37): 10472 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(236,a,9142,a(flip),b,9795,a(flip)),flip(a)]. given #10405 (H,wt=37): 11286 T(x * K(y,z),K(u,z)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(K(u,z) * x,K(y,z) * K(z,u)). [hyper(74,a,11285,a(flip),b,4900,a)]. given #10406 (H,wt=37): 11302 T(R(((x \ R(x,y,z)) \ 1) \ 1,x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(3514(a,2),3709(a,1,1))]. given #10407 (H,wt=37): 11303 x / L(L(y \ 1,z,u) \ (y \ 1),L(1 / y,z,u),x / (y \ 1)) = (x / (1 / y)) * L(1 / y,z,u). [para(3848(a,1),4783(a,1,2))]. given #10408 (H,wt=37): 11326 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(8593(a,1),8756(a,1,1,1))]. given #10409 (H,wt=37): 11341 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(236,a,10849,a(flip),b,10472,a(flip))]. given #10410 (H,wt=34): 11344 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(236,a,11271,a(flip),b,11341,a)]. given #10411 (H,wt=27): 11345 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(236,a,10893,a(flip),b,11344,a)]. given #10412 (H,wt=20): 11347 K(L(x,y,z),u \ L(x,y,z)) = K(L(x,y,z),u \ x). [para(2599(a,1),11345(a,1,2))]. given #10413 (H,wt=24): 11348 K(x \ L(y,z,u),L(y,z,u)) = (w * K(L(y,z,u),x \ y)) \ w. [para(11347(a,1),7549(a,1,1,2)),flip(a)]. given #10414 (H,wt=20): 11349 K(x \ L(y,z,u),L(y,z,u)) = K(x \ y,L(y,z,u)). [hyper(236,a,7647,a(flip),b,11348,a)]. given #10415 (H,wt=31): 11350 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(11349(a,1),6472(a,1,1,2))]. given #10416 (H,wt=31): 11351 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(10895(a,1),11350(a,1,1,2))]. given #10417 (H,wt=29): 11352 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(50(a,1),11351(a,1,1,2,1,2))]. given #10418 (H,wt=26): 11353 T(L(x * K(x * y,x),z,u),y) = y \ T(L(x,z,u) * y,L(x,z,u)). [para(5656(a,1),11352(a,1,1))]. given #10419 (H,wt=26): 11354 L(T(x * K(x * y,x),y),z,u) = y \ T(L(x,z,u) * y,L(x,z,u)). [hyper(236,a,40,a,b,11353,a(flip)),flip(a)]. given #10420 (H,wt=21): 11355 x \ T(L(y,z,u) * x,L(y,z,u)) = L(R(y,x,y),z,u). [para(5494(a,1),11354(a,1,1)),flip(a)]. given #10421 (H,wt=18): 11356 R(L(x,y,z),u,L(x,y,z)) = L(R(x,u,x),y,z). [hyper(4238,a,11355,a)]. given #10422 (H,wt=19): 11358 K(x,L(R(y,z,y),u,w)) != v5 | K(x,L(y,u,w)) = v5. [para(11356(a,1),7236(a,1,2))]. given #10423 (H,wt=20): 11360 K(L(x,y * (x \ z),u),y) != w | K(x,L(y,z,u)) = w. [para(10625(a,1),11358(a,1))]. given #10424 (H,wt=22): 11359 K(x,L((y \ z) \ z,u,w)) != v5 | K(x,L(T(y,z),u,w)) = v5. [para(8385(a,1),11358(a,1,2,1))]. given #10425 (H,wt=23): 11357 (x * y) * L(R(z,u,z),y,x) = x * (y * R(z,u,L(z,y,x))). [para(11356(a,1),443(a,1,2))]. given #10426 (H,wt=16): 11363 x * R(y,z,L(y,x,u)) = x * R(y,z,y). [hyper(437,a,11357,a),flip(a)]. given #10427 (H,wt=12): 11364 R(x,y,L(x,z,u)) = R(x,y,x). [hyper(317,a,11363,a),flip(a)]. given #10428 (H,wt=17): 11366 T(x * K(y * x,x),y) = R(x,y,L(x,z,u)). [hyper(236,a,5037,a,b,11364,a),flip(a)]. given #10429 (H,wt=24): 11362 K(x,L(T(y \ z,y),u,w)) != v5 | K(x,L(T(y \ z,z),u,w)) = v5. [para(4108(a,2),11359(a,1,2,1))]. given #10430 (H,wt=19): 11370 K(x,L(T(y \ z,z),u,w)) = K(x,L(z / y,u,w)). [hyper(11362,a,8488,a)]. given #10431 (H,wt=29): 11369 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(11178(a,1),11366(a,1,1,2))]. given #10432 (H,wt=26): 11371 T(R(x * K(y * x,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [para(5658(a,1),11369(a,1,1))]. given #10433 (H,wt=26): 11372 T(R(x * K(x * y,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [para(5559(a,1),11371(a,1,1,1,2))]. given #10434 (H,wt=26): 11373 R(T(x * K(x * y,x),y),z,u) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [hyper(236,a,42,a,b,11372,a(flip)),flip(a)]. given #10435 (H,wt=21): 11374 R(R(x,y,z),u,L(R(x,y,z),w,v5)) = R(R(x,u,x),y,z). [para(5494(a,1),11373(a,1,1)),flip(a)]. given #10436 (H,wt=18): 11375 R(R(x,y,z),u,R(x,y,z)) = R(R(x,u,x),y,z). [hyper(236,a,11364,a(flip),b,11374,a(flip)),flip(a)]. given #10437 (H,wt=23): 11376 (R(x,y,R(x,z,u)) * z) * u = R(R(x,y,x),z,u) * (z * u). [para(11375(a,1),472(a,1,1)),flip(a)]. given #10438 (H,wt=20): 11377 (R(x,y,R(x,z,u)) * z) * u = (R(x,y,x) * z) * u. [hyper(236,a,113,a(flip),b,11376,a)]. given #10439 (H,wt=26): 11378 (R(T(x,y),z,T(x,y)) * u) * w = (R(T(x,y),z,R(x,u,w)) * u) * w. [para(10349(a,1),11377(a,1,1,1)),flip(a)]. given #10440 (H,wt=30): 11361 K(x,L(T(y / z,y \ z) \ 1,u,w)) != v5 | K(x,L(T((y / z) \ 1,1),u,w)) = v5. [para(2582(a,2),11359(a,1,2,1,1))]. given #10441 (H,wt=37): 11342 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(K(u,z) * x,K(y,z) * K(z,u)). [para(7981(a,1),11286(a,1,1))]. given #10442 (H,wt=37): 11343 x / L(L(y \ 1,z,u) \ (y \ 1),L(y \ 1,z,u),x / (y \ 1)) = (x / (1 / y)) * L(1 / y,z,u). [para(7008(a,1),11303(a,1,2))]. given #10443 (H,wt=28): 11379 (x / (1 / y)) * L(1 / y,z,u) != w | (x / (y \ 1)) * L(y \ 1,z,u) = w. [para(11343(a,1),730(a,1))]. given #10444 (H,wt=38): 5338 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(5113(a,1),3317(a,2,2,2))]. given #10445 (H,wt=29): 11380 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * (K(y,x) \ 1),z). [para(6817(a,1),5338(a,1,1,2,1)),flip(a)]. given #10446 (H,wt=27): 11381 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * K(x,y),z). [para(5093(a,1),11380(a,2,1,2))]. given #10447 (H,wt=19): 11383 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T(x,z). [para(7540(a,1),11381(a,2,1))]. given #10448 (H,wt=19): 11384 T(x,y) / (T(x,y) * (x \ K(x,z))) = x * K(z,x). [hyper(87,a,11383,a)]. given #10449 (H,wt=33): 11385 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(11384(a,1),3063(a,1,1,1)),flip(a)]. given #10450 (H,wt=29): 11386 T(x,y) * T(x \ K(x,z),(x \ K(x,z)) \ 1) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(5982(a,1),11385(a,2,1))]. given #10451 (H,wt=29): 11387 T(x,y) * T(x \ K(x,z),(x \ 1) \ K(z,x)) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(5790(a,1),11386(a,1,2,2))]. given #10452 (H,wt=25): 11388 T(x,y) * T(x \ K(x,z),T(x,z)) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(8166(a,1),11387(a,1,2))]. given #10453 (H,wt=23): 11389 ((x \ 1) \ K(y,x)) \ T(x,z) = T(x,z) * T(x \ K(x,y),x). [para(8382(a,1),11388(a,1,2)),flip(a)]. given #10454 (H,wt=21): 11390 ((x \ 1) \ K(y,x)) \ T(x,z) = (x \ K(x,y)) * T(x,z). [hyper(236,a,8485,a(flip),b,11389,a)]. given #10455 (H,wt=33): 11392 K((x \ y) \ 1,((z \ K(z,u)) * T(z,w)) \ 1) = K(y \ x,T(z,w) \ ((z \ 1) \ K(u,z))). [para(11390(a,1),6419(a,1,2,1))]. given #10456 (H,wt=38): 5952 L(L(L(x \ 1,y * x,K(z,u)),x,y),K(z,u) * (y * x),K(u,z)) = (K(u,z) * (K(z,u) * (y * x))) \ y. [para(850(a,2),5276(a,1,1))]. given #10457 (H,wt=38): 6722 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = (x * (y * K(z * L(y,u,w),y))) / (y * K(z,y)). [para(6719(a,1),1918(a,1,1,2)),flip(a)]. given #10458 (H,wt=34): 11394 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = (x * K(z * L(y,u,w),y)) * K(y,z). [hyper(236,a,7708,a(flip),b,6722,a)]. given #10459 (H,wt=34): 11395 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = x * (K(y,z) * K(z * L(y,u,w),y)). [hyper(236,a,9020,a(flip),b,11394,a)]. given #10460 (H,wt=29): 11396 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(10259(a,1),11395(a,2,2))]. given #10461 (H,wt=29): 11397 ((x / y) * K(y,z)) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [hyper(6356,a,11396,a)]. given #10462 (H,wt=28): 11398 ((x / y) * K(y,z)) * (y * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). [para(6719(a,1),11397(a,1,2))]. given #10463 (H,wt=26): 11399 (x / y) * (T(y,z) * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). [hyper(236,a,9546,a(flip),b,11398,a(flip)),flip(a)]. given #10464 (H,wt=21): 11400 (x / y) * R(y,z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(8624(a,1),11399(a,1,2))]. given #10465 (H,wt=18): 11401 (x / y) * R(y,z,y) = x * a(y,z,L(y,u,w)). [para(11364(a,1),11400(a,1,2))]. given #10466 (H,wt=15): 11403 (x / y) * R(y,z,y) = x * a(y,z,y). [para(320(a,1),11401(a,2,2,3))]. given #10467 (H,wt=12): 11407 a(x,y,L(x,z,u)) = a(x,y,x). [hyper(17,a,11401,a(flip),b,11403,a(flip)),flip(a)]. given #10468 (H,wt=15): 11405 (x * a(y,z,y)) / R(y,z,y) = x / y. [hyper(87,a,11403,a)]. given #10469 (H,wt=15): 11406 R(x,y,x) * (x \ z) = z * a(x,y,x). [hyper(236,a,8360,a,b,11403,a(flip)),flip(a)]. given #10470 (H,wt=15): 11408 (x * y) * a(y,z,y) = x * R(y,z,y). [para(15(a,1),11403(a,1,1)),flip(a)]. given #10471 (H,wt=14): 11414 (x * y) * a(y,x,y) = T(y * x,y). [hyper(236,a,4227,a(flip),b,11408,a)]. given #10472 (H,wt=15): 11410 (x * a(y,z,y)) \ (x * R(y,z,y)) = y. [para(11403(a,1),1920(a,1,1))]. given #10473 (H,wt=15): 11413 x * (y * a(x,z,x)) = R(x,z,x) * y. [para(11406(a,1),1492(a,1,2))]. given #10474 (H,wt=15): 11415 (x * y) \ (x * R(y,z,y)) = a(y,z,y). [hyper(80,a,11408,a)]. given #10475 (H,wt=12): 11420 L(a(x,y,x),x,z) = a(x,y,x). [hyper(9052,a,11415,a)]. given #10476 (H,wt=14): 11421 a(x,y,x) != z | x \ R(x,y,x) = z. [para(11415(a,1),3622(a,1))]. given #10477 (H,wt=15): 11416 (x / R(y,z,y)) * y = x / a(y,z,y). [hyper(74,a,16,a(flip),b,11408,a),flip(a)]. given #10478 (H,wt=15): 11419 (x * a(y,z,y)) * y = x * R(y,z,y). [para(11410(a,1),14(a,1,2))]. given #10479 (H,wt=15): 11426 x * (y \ L(y,z,y)) = x / a(y,z,y). [hyper(236,a,9095,a(flip),b,11416,a(flip)),flip(a)]. given #10480 (H,wt=13): 11428 a(x,y,x) \ 1 = x \ L(x,y,x). [hyper(72,a,59,a(flip),b,11426,a)]. given #10481 (H,wt=15): 11427 x / (y \ L(y,z,y)) = x * a(y,z,y). [hyper(74,a,15,a(flip),b,11426,a)]. given #10482 (H,wt=15): 11429 x / (a(y,z,y) \ 1) = x * a(y,z,y). [para(11428(a,2),11427(a,1,2))]. given #10483 (H,wt=14): 11430 R(x,a(y,z,y),a(y,z,y) \ 1) = x. [hyper(566,a,11429,a)]. given #10484 (H,wt=14): 11431 R(x,a(y,z,y),y \ L(y,z,y)) = x. [para(11428(a,1),11430(a,1,3))]. given #10485 (H,wt=16): 11432 R(x,y \ R(y,z,y),y \ L(y,z,y)) = x. [para(9038(a,2),11431(a,1,2))]. given #10486 (H,wt=17): 11412 K(x * L(y,z,u),y) = K(x,y) * a(y,x,y). [para(11407(a,1),10261(a,1,2)),flip(a)]. given #10487 (H,wt=14): 11433 K(x * L(y,z,u),y) = K(y * x,y). [hyper(236,a,9057,a(flip),b,11412,a)]. given #10488 (H,wt=14): 11436 K(x * (L(x,y,z) \ u),x) = K(u,x). [hyper(236,a,7513,a(flip),b,11433,a(flip))]. given #10489 (H,wt=14): 11438 K(L(x,y,z) \ u,x) = K(x \ u,x). [hyper(236,a,10865,a(flip),b,11436,a(flip)),flip(a)]. given #10490 (H,wt=14): 11440 K(x / L(y,z,u),y) = K(y \ x,y). [hyper(8403,a,11438,a)]. given #10491 (H,wt=16): 11435 K(x \ L(y,z,u),y) = K(y * (x \ 1),y). [hyper(236,a,11253,a(flip),b,11433,a(flip)),flip(a)]. given #10492 (H,wt=14): 11442 K(x \ L(y,z,u),y) = K(x \ y,y). [hyper(236,a,5413,a(flip),b,11435,a)]. given #10493 (H,wt=16): 11439 T(x * K(y,x),x * (L(x,z,u) \ y)) = x. [para(11436(a,1),4853(a,1,1,2))]. given #10494 (H,wt=14): 11446 T(x,x * (L(x,y,z) \ u)) = T(x,u). [para(11439(a,1),4933(a,1,1)),flip(a)]. given #10495 (H,wt=14): 11447 T(x,L(x,y,z) * u) = T(x,x * u). [para(13(a,1),11446(a,1,2,2)),flip(a)]. given #10496 (H,wt=14): 11449 T(x,L(x,y,z) * (x \ u)) = T(x,u). [para(14(a,1),11447(a,2,2))]. given #10497 (H,wt=18): 11409 (x / y) * R(y,z,y) != x * u | a(y,z,y) = u. [para(11403(a,2),19(a,1))]. given #10498 (H,wt=18): 11443 K(x / (L(y,z,u) \ w),y) = K((w / x) \ y,y). [hyper(11294,a,11442,a)]. given #10499 (H,wt=18): 11444 K(x \ (y * L(z,u,w)),z) = K((y \ x) \ z,z). [hyper(236,a,11255,a(flip),b,11442,a(flip)),flip(a)]. given #10500 (H,wt=18): 11454 K(x \ (y * L(z,u,w)),z) = K(z * (x \ y),z). [hyper(236,a,10863,a(flip),b,11444,a)]. given #10501 (H,wt=18): 11456 K(x * (y \ L(y,z,u)),y) = K(y * (y \ x),y). [hyper(10746,a,11454,a)]. given #10502 (H,wt=14): 11458 K(x * (y \ L(y,z,u)),y) = K(x,y). [para(14(a,1),11456(a,2,1))]. given #10503 (H,wt=19): 11423 K(x,y) * K(x * y,x) != z | x \ R(x,y,x) = z. [para(9040(a,2),11421(a,1))]. given #10504 (H,wt=19): 11457 K(x \ (y * (z * u)),u) = K(u * (x \ (y * z)),u). [para(103(a,1),11454(a,1,1,2))]. given #10505 (H,wt=19): 11460 K(x,y) * K(y * x,x) != z | x \ R(x,y,x) = z. [para(5559(a,2),11423(a,1,2))]. given #10506 (H,wt=19): 11462 K(x \ (y * (z * u)),z) = K(z * (x \ (y * u)),z). [hyper(236,a,8706,a(flip),b,11457,a(flip)),flip(a)]. given #10507 (H,wt=20): 11411 (x / y) * ((y \ z) \ T(z,y)) = x * a(y,y \ z,y). [para(4234(a,1),11403(a,1,2))]. given #10508 (H,wt=20): 11424 T(x,y) \ R(T(x,y),z,x) != u | x \ R(x,z,x) = u. [para(9042(a,2),11421(a,1))]. given #10509 (H,wt=21): 11425 K(x,y) * K(y,y \ x) != z | y \ R(y,y \ x,y) = z. [para(9043(a,2),11421(a,1))]. given #10510 (H,wt=21): 11455 K(x \ (y * L(z,u,w)),z) != v5 | K(z * (x \ y),z) = v5. [para(11444(a,2),10873(a,1))]. given #10511 (H,wt=22): 11417 (x * y) * a(y,z,y) != u * w | (x * R(y,z,y)) / w = u. [para(11408(a,2),555(a,1))]. given #10512 (H,wt=22): 11463 K(((x \ y) \ z) * u,L(u,z,x)) = K(u * (y \ (x * z)),u). [hyper(236,a,10911,a,b,11462,a(flip)),flip(a)]. given #10513 (H,wt=23): 11461 K(x \ (y \ (z * (u * y))),y) = K(y * ((x * y) \ (z * u)),y). [hyper(8562,a,11457,a)]. given #10514 (H,wt=19): 11465 K(x \ (y \ (z * (u * y))),y) = K(x \ (z * u),y). [hyper(236,a,10862,a(flip),b,11461,a)]. given #10515 (H,wt=20): 11466 K(L(x,y * z,u),y) = K((u * z) \ (u * (z * x)),y). [hyper(236,a,10033,a(flip),b,11465,a(flip)),flip(a)]. given #10516 (H,wt=15): 11467 K(L(x,y * z,u),y) = K(L(x,z,u),y). [para(28(a,2),11466(a,2,1))]. given #10517 (H,wt=15): 11468 K(L(x,x \ y,z),u) = K(x,L(u,y,z)). [hyper(11360,a,11467,a),flip(a)]. given #10518 (H,wt=13): 11470 L(K(x,y),z,u) = K(x,L(y,z,u)). [hyper(10741,a,11468,a)]. given #10519 (H,wt=15): 11471 K(x,L(y,x * z,u)) = K(L(x,z,u),y). [para(13(a,1),11468(a,1,1,2)),flip(a)]. given #10520 (H,wt=15): 11474 K(x,L(y,y \ z,u)) = K(x,L(y,z,u)). [hyper(10772,a,11470,a)]. given #10521 (H,wt=15): 11475 K(x,L(y,y * z,u)) = K(x,L(y,z,u)). [hyper(10771,a,11470,a),flip(a)]. given #10522 (H,wt=15): 11476 K(x,L(y,z * x,u)) = K(L(x,z,u),y). [hyper(10722,a,11470,a),flip(a)]. given #10523 (H,wt=15): 11484 K(x,L(y,z / y,u)) = K(x,L(y,z,u)). [hyper(236,a,6582,a,b,11470,a(flip)),flip(a)]. given #10524 (H,wt=16): 11472 K(x,L(y,z,u)) != w | L(K(x,y),z,u) = w. [para(11468(a,1),10741(a,1))]. given #10525 (H,wt=17): 11473 K(x,L(y / z,z,u)) = K(x,L(y / z,y,u)). [hyper(10773,a,11470,a)]. given #10526 (H,wt=17): 11480 K(L(x,y,z) \ 1,u) = K(x \ 1,L(u,y,z)). [hyper(6082,a,11470,a)]. given #10527 (H,wt=17): 11482 K(x,y) * a(z,u,K(y,x)) = K(x,L(y,u,z)). [hyper(236,a,10179,a,b,11470,a(flip)),flip(a)]. given #10528 (H,wt=17): 11486 K(x,L(y \ 1,z,u)) = K(x,L(y,z,u) \ 1). [hyper(236,a,5890,a(flip),b,11470,a(flip))]. given #10529 (H,wt=17): 11500 K(x,y) * K(y,L(x,z,u)) = a(u,z,K(x,y)). [para(11470(a,1),10176(a,1,2))]. given #10530 (H,wt=17): 11501 a(x,y,K(z,u)) * K(z,L(u,y,x)) = K(z,u). [para(11470(a,1),10178(a,1,2))]. given #10531 (H,wt=17): 11502 K(x,L(y,z,u)) * K(y,x) = a(u,z,K(y,x)). [para(11470(a,1),10180(a,1,1))]. given #10532 (H,wt=15): 11527 a(x,y * z,K(z,u)) = a(x,y,K(z,u)). [hyper(236,a,10201,a(flip),b,11502,a(flip)),flip(a)]. given #10533 (H,wt=17): 11503 K(x,L(y,z,u)) * a(u,z,K(x,y)) = K(x,y). [para(11470(a,1),10200(a,1,1))]. given #10534 (H,wt=17): 11513 a(x,y,K(z,u)) * K(u,z) = K(u,L(z,y,x)). [hyper(236,a,10177,a(flip),b,11482,a(flip)),flip(a)]. given #10535 (H,wt=17): 11522 K(x,y) * K(L(y,z,u),x) = a(u,z,K(x,y)). [hyper(7559,a,11501,a)]. given #10536 (H,wt=13): 11533 K(L(x,y,z),u) = K(x,L(u,y,z)). [hyper(17,a,11500,a,b,11522,a)]. given #10537 (H,wt=13): 11534 L(K(x,y),z,u) = K(L(x,z,u),y). [hyper(17,a,10176,a,b,11522,a),flip(a)]. given #10538 (H,wt=15): 11535 a(x,y * z,K(u,z)) = a(x,y,K(u,z)). [hyper(236,a,10184,a(flip),b,11522,a(flip)),flip(a)]. given #10539 (H,wt=15): 11538 K(x,L(y,z * x,u)) = K(x,L(y,z,u)). [hyper(236,a,11476,a,b,11533,a(flip)),flip(a)]. given #10540 (H,wt=15): 11540 K(x,L(y,x \ z,u)) = K(x,L(y,z,u)). [hyper(236,a,11468,a(flip),b,11533,a(flip))]. given #10541 (H,wt=16): 11554 K(L(x,y,z),u) != w | L(K(x,u),y,z) = w. [para(11533(a,2),11472(a,1))]. given #10542 (H,wt=17): 11526 K(L(x,y,z),u) * a(z,y,K(x,u)) = K(x,u). [hyper(5285,a,11502,a)]. given #10543 (H,wt=17): 11550 K(x,K(y,L(z,u,w))) = K(z,K(x,L(y,u,w))). [para(11533(a,1),7923(a,1,2))]. given #10544 (H,wt=17): 11551 K(x,K(y,L(z,u,w))) = K(x,K(z,L(y,u,w))). [para(11533(a,1),7937(a,1,2))]. given #10545 (H,wt=14): 11568 K(x,K(y,L(z,z,u))) = K(x,K(z,y)). [para(10692(a,1),11551(a,1,2)),flip(a)]. given #10546 (H,wt=17): 11555 L(K(x,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [hyper(236,a,7923,a,b,11534,a)]. given #10547 (H,wt=17): 11557 K(L(K(x,y),z,u),w) = K(w,K(y,L(x,z,u))). [para(11534(a,2),5835(a,1,1))]. given #10548 (H,wt=17): 11558 K(L(K(x,y),z,u),w) = K(y,K(w,L(x,z,u))). [para(11534(a,2),7920(a,1,1))]. given #10549 (H,wt=17): 11559 K(x,L(K(y,z),u,w)) = K(x,K(z,L(y,u,w))). [para(11534(a,2),7937(a,1,2))]. given #10550 (H,wt=17): 11563 a(x,y,K(z,u \ y)) = a(x,u,K(z,u \ y)). [para(14(a,1),11535(a,1,2))]. given #10551 (H,wt=17): 11565 K(x \ y,L(z,y,u)) = K(x \ y,L(z,x,u)). [para(14(a,1),11538(a,1,2,2))]. given #10552 (H,wt=18): 11469 K(L(x,x \ y,z),u) != w | K(x,L(u,y,z)) = w. [para(11467(a,1),11360(a,1))]. given #10553 (H,wt=18): 11478 K((x * (y / z)) \ (x * y),u) = K(z,L(u,y,x)). [hyper(6624,a,11470,a)]. given #10554 (H,wt=18): 11479 K((x * y) \ (x * z),u) = K(y \ z,L(u,z,x)). [hyper(6566,a,11470,a)]. given #10555 (H,wt=18): 11485 K(x,L((y \ z) \ u,u,y)) = K(x,z \ (y * u)). [hyper(236,a,6595,a(flip),b,11470,a(flip))]. given #10556 (H,wt=18): 11487 (x * y) * K(z,L(u,y,x)) = x * (y * K(z,u)). [para(11470(a,1),103(a,1,2))]. given #10557 (H,wt=18): 11488 L(K(x,y \ (z \ u)),y,z) = K(x,(z * y) \ u). [para(227(a,1),11470(a,2,2))]. given #10558 (H,wt=18): 11510 K(x,L(y,z,u)) != w | L(K(x,y),y * z,u) = w. [para(11475(a,1),11472(a,1))]. given #10559 (H,wt=18): 11543 K((x \ 1) \ y,L(z,x \ 1,x)) = K(x * y,z). [para(451(a,1),11533(a,1,1)),flip(a)]. given #10560 (H,wt=18): 11556 (x * y) * K(L(z,y,x),u) = x * (y * K(z,u)). [para(11534(a,1),103(a,1,2))]. given #10561 (H,wt=18): 11575 K(L(x,y / x,z),u) != w | K(x,L(u,y,z)) = w. [para(10736(a,2),11469(a,1,1))]. given #10562 (H,wt=16): 11589 L(K(x,y),z,u) != w | K(x,L(y,z,u)) = w. [para(6577(a,1),11575(a,1))]. given #10563 (H,wt=16): 11595 K(L(x,y,z),u) != w | K(x,L(u,y,z)) = w. [para(11534(a,1),11589(a,1))]. given #10564 (H,wt=18): 11587 K(x * (y * K(z,u)),u) != w | K(x * y,u) = w. [para(11556(a,1),7471(a,1,1))]. given #10565 (H,wt=18): 11594 K(x,L(y,y \ z,u)) != w | K(x,L(y,z,u)) = w. [para(8971(a,2),11589(a,1))]. given #10566 (H,wt=18): 11597 K(x,L(y,z * x,u)) != w | K(x,L(y,z,u)) = w. [para(11476(a,2),11595(a,1))]. given #10567 (H,wt=19): 11490 K(x,L((y \ z) \ 1,u,w)) = L(K(x,z \ y),u,w). [para(6408(a,1),11470(a,1,1)),flip(a)]. given #10568 (H,wt=19): 11493 K(x,K(y,L(z,u,w))) * y = T(y,L(K(x,z),u,w)). [para(11470(a,2),7925(a,2,2))]. given #10569 (H,wt=19): 11508 K(x,K(y,L(z,u * y,w))) = K(x,K(z,L(y,u,w))). [para(11476(a,2),7937(a,1,2))]. given #10570 (H,wt=19): 11521 T(x,L(y,z,u)) * K(y,x) = x * a(u,z,K(y,x)). [para(11500(a,1),5186(a,1,2)),flip(a)]. given #10571 (H,wt=19): 11531 a(x,y * z,K(u,K(w,z))) = a(x,y,K(z,K(u,w))). [para(7923(a,2),11527(a,1,3))]. given #10572 (H,wt=19): 11539 (K(x,L(y,z,u)) * w) \ w = K(y,L(T(x,w),z,u)). [hyper(236,a,7591,a,b,11533,a(flip)),flip(a)]. given #10573 (H,wt=19): 11548 (x * y) / (K(z,L(x,u,w)) * y) = T(x,L(z,u,w)). [para(11533(a,1),5354(a,1,2,1))]. given #10574 (H,wt=19): 11562 K(x,L(y,z,u)) * K(y,x) = a(u,z * x,K(y,x)). [hyper(236,a,11502,a,b,11535,a),flip(a)]. given #10575 (H,wt=19): 11600 K(x,L((y \ z) \ 1,u,w)) = K(x,L(z \ y,u,w)). [hyper(236,a,11470,a(flip),b,11490,a)]. given #10576 (H,wt=19): 11603 T(x * K(y,x),L(y,z,u)) = x * a(u,z,K(y,x)). [hyper(7333,a,11521,a)]. given #10577 (H,wt=17): 11606 T(x * a(y,z,K(u,x)),u) = T(x,L(u,z,y)). [para(11603(a,1),4933(a,1,1))]. given #10578 (H,wt=19): 11605 K(x,L((y * z) \ y,u,w)) = K(x,L(z \ 1,u,w)). [para(13(a,1),11600(a,1,2,1,1)),flip(a)]. given #10579 (H,wt=20): 11477 K(x \ (y \ z),L(u,y \ z,y)) = K((y * x) \ z,u). [hyper(6731,a,11470,a),flip(a)]. given #10580 (H,wt=20): 11483 K(x,(y * (z \ u)) \ (y * u)) = K(x,L(T(z,u),u,y)). [hyper(236,a,7338,a,b,11470,a(flip)),flip(a)]. given #10581 (H,wt=20): 11505 x * K(y,L(z,u,u \ x)) = (x / u) * (u * K(y,z)). [para(11470(a,1),11089(a,1,2))]. given #10582 (H,wt=20): 11506 (x * y) * K(z,L(u,x,y)) = y * (T(x,y) * K(z,u)). [para(11470(a,1),11115(a,1,2))]. given #10583 (H,wt=20): 11509 K(x,T(L(y,z,u),w)) != v5 | L(K(x,T(y,w)),z,u) = v5. [para(40(a,1),11472(a,1,2))]. given #10584 (H,wt=20): 11514 K(x,(y * (z * u)) \ (y * z)) = K(x,L(u \ 1,z,y)). [hyper(6475,a,11486,a(flip))]. given #10585 (H,wt=20): 11518 a(x,y,K(z,u)) != w | K(u,L(z,y,x)) * K(z,u) = w. [para(11500(a,1),2197(a,1))]. given #10586 (H,wt=20): 11519 K(x,y) * a(z,u,K(y,x)) != w | K(x,L(y,u,z)) = w. [para(11500(a,1),5271(a,1,2)),flip(b)]. given #10587 (H,wt=20): 11523 a(x,y,K(z,u)) * w != K(z,u) | K(z,L(u,y,x)) = w. [para(11501(a,1),19(a,1)),flip(a)]. given #10588 (H,wt=20): 11524 x * K(y,L(z,u,w)) != K(y,z) | a(w,u,K(y,z)) = x. [para(11501(a,1),20(a,1)),flip(a)]. given #10589 (H,wt=20): 11525 K(x,y) * K(L(y,z,u),x) != w | a(u,z,K(x,y)) = w. [para(11501(a,1),7577(a,1,1)),flip(b)]. given #10590 (H,wt=18): 11611 a(x,y * z,K(u,z)) != w | a(x,y,K(u,z)) = w. [para(10184(a,1),11525(a,1))]. given #10591 (H,wt=20): 11528 a(x,y,K(z,u)) != w * K(z,u) | K(u,L(z,y,x)) = w. [para(11502(a,1),20(a,1))]. given #10592 (H,wt=20): 11529 a(x,y,K(z,u)) != w | K(z,u) * K(u,L(z,y,x)) = w. [para(11502(a,1),2193(a,1))]. given #10593 (H,wt=20): 11530 a(x,y,K(z,u)) * K(u,z) != w | K(u,L(z,y,x)) = w. [para(11502(a,1),7577(a,1,1)),flip(b)]. given #10594 (H,wt=20): 11532 K(x,L(y,z,u)) * K(y,x) != w | a(u,z,K(y,x)) = w. [para(11513(a,1),7577(a,1,1)),flip(b)]. given #10595 (H,wt=20): 11536 K((x \ y) / z,L(u,z,x)) = K((x * z) \ y,T(u,z)). [hyper(8427,a,11533,a),flip(a)]. given #10596 (H,wt=20): 11544 K((x \ y) \ z,L(u,x \ y,x)) = K(y \ (x * z),u). [para(450(a,1),11533(a,1,1)),flip(a)]. given #10597 (H,wt=20): 11552 K(x,K(y,L(z,u,w))) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(11533(a,1),7971(a,1,2))]. given #10598 (H,wt=20): 11560 L(K(x,K(y,z)),u,w) != v5 | K(y,K(z,L(x,u,w))) = v5. [para(11534(a,2),7960(a,1))]. given #10599 (H,wt=20): 11561 K(L(K(x,y),z,u),w) != v5 | K(y,K(w,L(x,z,u))) = v5. [para(11534(a,2),8013(a,1,1))]. given #10600 (H,wt=20): 11566 K(x,K(y,L(z,u,w))) != v5 | L(K(z,K(x,y)),u,w) = v5. [para(7923(a,2),11554(a,1))]. given #10601 (H,wt=20): 11584 (x * (y * K(z,u))) \ (x * (y * u)) = T(L(u,y,x),z). [para(11487(a,1),7637(a,1,1))]. given #10602 (H,wt=20): 11590 K(L(x,y,z) \ 1,u) != w | K(x \ 1,L(u,y,z)) = w. [para(5906(a,1),11589(a,1))]. given #10603 (H,wt=20): 11592 K(x,L(y \ z,y,u)) != w | K(x,L(y \ z,z,u)) = w. [para(6585(a,1),11589(a,1))]. given #10604 (H,wt=20): 11599 K(x \ y,L(z,y,u)) != w | K(x \ y,L(z,x,u)) = w. [para(14(a,1),11597(a,1,2,2))]. given #10605 (H,wt=20): 11612 a(x,y,K(z,u \ y)) != w | a(x,u,K(z,u \ y)) = w. [para(14(a,1),11611(a,1,2))]. given #10606 (H,wt=20): 11614 K(x,K(L(y,z,u),w)) != v5 | K(x,K(y,L(w,z,u))) = v5. [para(7937(a,1),11552(a,1))]. given #10607 (H,wt=20): 11615 L(K(x,K(y,z)),u,w) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(7919(a,1),11560(a,1,1))]. given #10608 (H,wt=20): 11616 (x * (y * K(z,u))) \ (x * (y * u)) = L(T(u,z),y,x). [hyper(236,a,40,a,b,11584,a)]. given #10609 (H,wt=17): 11619 L(T(x,y),z * K(y,x),u) = L(T(x,y),z,u). [hyper(7640,a,11616,a)]. given #10610 (H,wt=20): 11617 (x * (y * z)) / T(L(z,y,x),u) = x * (y * K(u,z)). [para(11584(a,1),62(a,1,2))]. given #10611 (H,wt=21): 11492 L(K(x,T(y \ 1,z)),u,w) = K(x,L(T(y,z) \ 1,u,w)). [para(7269(a,1),11470(a,1,1))]. given #10612 (H,wt=21): 11494 L(K(x \ (y \ z),y),u,w) = K((y * x) \ z,L(y,u,w)). [para(8318(a,1),11470(a,1,1))]. given #10613 (H,wt=21): 11504 a(x,y,K(z,u)) * (K(z,L(u,y,x)) * w) = K(z,u) * w. [para(11470(a,1),10223(a,1,2,1))]. given #10614 (H,wt=21): 11520 ((x * y) / x) * K(y,L(x,z,u)) = y * a(u,z,K(x,y)). [para(11500(a,1),5525(a,2,2))]. given #10615 (H,wt=21): 11564 x / T(x / y,L(y,z,u)) = y * a(u,z,K(y \ x,y)). [para(11535(a,1),10236(a,2,2))]. given #10616 (H,wt=21): 11569 K(x,K(y / z,L(u,y,w))) = K(x,K(u,L(y / z,z,w))). [para(11473(a,2),11551(a,1,2)),flip(a)]. given #10617 (H,wt=21): 11573 K((x * y) \ x,L(z,x * y,u)) = K(y \ 1,L(z,x,u)). [hyper(6345,a,11565,a),flip(a)]. given #10618 (H,wt=19): 11628 K(x \ 1,L(y,z * x,u)) = K(x \ 1,L(y,z,u)). [hyper(6345,a,11573,a)]. given #10619 (H,wt=21): 11576 K((x * (y / z)) \ (x * y),u) != w | K(z,L(u,y,x)) = w. [para(11479(a,2),8411(a,1))]. given #10620 (H,wt=21): 11579 (x * y) * z != x * (y * K(u,w)) | K(u,L(w,y,x)) = z. [para(11487(a,1),19(a,1)),flip(a)]. given #10621 (H,wt=21): 11585 K(x,(y * R(x,z,u)) \ w) = K(x,R(x,z,u) \ (y \ w)). [hyper(236,a,10559,a(flip),b,11488,a(flip))]. given #10622 (H,wt=21): 11591 K((x * y) \ (x * z),u) != w | K(y \ z,L(u,z,x)) = w. [para(6565(a,1),11589(a,1))]. given #10623 (H,wt=21): 11596 L(x,y,z) \ L(T(x,u),y,z) != w | K(x,L(u,y,z)) = w. [para(4888(a,2),11595(a,1))]. given #10624 (H,wt=21): 11623 K(x,L(T(y,z) \ 1,u,w)) = K(x,L(T(y \ 1,z),u,w)). [hyper(11589,a,11492,a),flip(a)]. given #10625 (H,wt=21): 11624 K((x * y) \ z,L(x,u,w)) = K(y \ (x \ z),L(x,u,w)). [hyper(11589,a,11494,a),flip(a)]. given #10626 (H,wt=21): 11631 K(x,(R(x,y,z) * u) \ w) = K(x,R(x,y,z) \ (u \ w)). [hyper(11142,a,11585,a)]. given #10627 (H,wt=22): 11481 L(K(x,T(y \ z,u * y)),y,u) = K(x,(u * z) / (u * y)). [hyper(236,a,8135,a(flip),b,11470,a)]. given #10628 (H,wt=22): 11495 x * (y * K(z,T(u,x * y))) = K(z,L(u,y,x)) * (x * y). [para(11470(a,1),7287(a,2,1))]. given #10629 (H,wt=22): 11537 K(x \ y,L(T(z,u * x),x,u)) = K((u * y) / (u * x),z). [hyper(8404,a,11533,a),flip(a)]. given #10630 (H,wt=22): 11541 K(x \ y,L(T(z,u),x,x \ u)) = K(((u / x) * y) / u,z). [hyper(236,a,11091,a(flip),b,11533,a(flip))]. given #10631 (H,wt=22): 11549 (x / y) * K(z,L(y,u,w)) != v5 | x / T(y,L(z,u,w)) = v5. [para(11533(a,1),7645(a,1,2))]. given #10632 (H,wt=19): 11637 (x * y) / T(x,L(y,z,u)) = y * a(u,z,K(x,y)). [hyper(11549,a,11520,a)]. given #10633 (H,wt=22): 11567 K(x,K(y \ (z \ u),L(w,y,z))) = K(w,K(x,(z * y) \ u)). [para(227(a,1),11550(a,2,2,2))]. given #10634 (H,wt=22): 11570 (x * y) * K(z,K(u,L(w,y,x))) = x * (y * K(w,K(z,u))). [para(11555(a,1),103(a,1,2))]. given #10635 (H,wt=22): 11601 K(x,L((y \ z) \ 1,u,w)) != v5 | K(x,L(z \ y,u,w)) = v5. [para(11490(a,2),11589(a,1))]. given #10636 (H,wt=22): 11604 x * a(y,z,K(u,x)) != w | T(x * K(u,x),L(u,z,y)) = w. [para(11521(a,1),7333(a,1))]. given #10637 (H,wt=22): 11607 T(x * a(y,z,K(u,x)),x * u) = L(T(x,L(u,z,y)),u,x). [para(11603(a,1),5040(a,1,1))]. given #10638 (H,wt=22): 11622 (x * y) / T(L(z,y / z,x),u) = x * ((y / z) * K(u,z)). [para(16(a,1),11617(a,1,1,2))]. given #10639 (H,wt=22): 11636 K(x \ y,L(T(z,u),y,x \ u)) = K(((u / x) * y) / u,z). [hyper(236,a,11565,a,b,11541,a(flip)),flip(a)]. given #10640 (H,wt=22): 11639 (x * y) / T(L(z,z \ y,x),u) = x * ((y / z) * K(u,z)). [para(10736(a,1),11622(a,1,2,1))]. given #10641 (H,wt=20): 11640 (x * y) / T(L(z,z \ y,x),u) = x * (y / T(z,u)). [para(7555(a,1),11639(a,2,2))]. given #10642 (H,wt=23): 11491 K(x \ (y \ z),L(u,y \ z,y)) != w | K((y * x) \ z,u) = w. [para(11470(a,1),6731(a,1))]. given #10643 (H,wt=21): 11642 K(x \ (y \ z),L(u,x,y)) != w | K((y * x) \ z,u) = w. [para(11565(a,1),11491(a,1))]. given #10644 (H,wt=23): 11497 K(x,L(y \ (z \ u),z \ u,z)) != w | K(x,(z * y) \ u) = w. [para(11470(a,1),9929(a,1))]. given #10645 (H,wt=23): 11498 K(x,L(T((y / z) \ 1,u),w,v5)) = L(K(x,T(z / y,u)),w,v5). [para(10056(a,1),11470(a,1,1)),flip(a)]. given #10646 (H,wt=23): 11553 K((x \ y) / z,L(u,z,x)) != w | K((x * z) \ y,T(u,z)) = w. [para(11533(a,1),8427(a,1))]. given #10647 (H,wt=23): 11571 K(x,K(y,z)) * K(x,K(z,L(y,u,w))) = a(w,u,K(x,K(y,z))). [para(11557(a,1),11522(a,1,2))]. given #10648 (H,wt=23): 11572 K(L(K(x,y),z,u),w \ (v5 / x)) = K(y,K(w \ v5,L(x,z,u))). [hyper(236,a,10289,a,b,11558,a(flip)),flip(a)]. given #10649 (H,wt=23): 11580 (x * y) * K(z,(x * y) \ u) = x * (y * K(z,y \ (x \ u))). [para(227(a,1),11487(a,1,2,2))]. given #10650 (H,wt=23): 11593 K(x,(y * ((y \ z) / u)) \ z) != w | K(x,L(u,y \ z,y)) = w. [para(6588(a,2),11589(a,1))]. given #10651 (H,wt=23): 11613 K((x \ R(x,y,y \ 1)) / y,L(z,y,x)) = K(y \ 1,T(z,y)). [para(391(a,1),11536(a,2,1))]. given #10652 (H,wt=21): 11648 K(a(x,y,y \ 1) / y,L(z,y,x)) = K(y \ 1,T(z,y)). [para(688(a,1),11613(a,1,1,1))]. given #10653 (H,wt=23): 11621 L(x,y * K(z,x * K(z,x)),u) = L(T(x * K(z,x),z),y,u). [para(4853(a,1),11619(a,1,1))]. given #10654 (H,wt=19): 11649 L(T(x * K(y,x),y),z,u) = L(x,z * K(y,x),u). [para(5008(a,1),11621(a,1,2,2)),flip(a)]. given #10655 (H,wt=13): 11650 L(x,y * K(z,x),u) = L(x,y,u). [para(4853(a,1),11649(a,1,1)),flip(a)]. given #10656 (H,wt=13): 11652 L(x,K(y,x) * z,u) = L(x,z,u). [para(7249(a,1),11650(a,1,2))]. given #10657 (H,wt=13): 11654 L(x,y * K(x,z),u) = L(x,y,u). [para(7540(a,1),11650(a,1,2)),flip(a)]. given #10658 (H,wt=13): 11655 L(x,K(x,y) * z,u) = L(x,z,u). [para(7550(a,1),11650(a,1,2)),flip(a)]. given #10659 (H,wt=13): 11657 L(x,T(y,K(x,z)),u) = L(x,y,u). [para(7924(a,1),11654(a,1,2))]. given #10660 (H,wt=13): 11659 L(x,T(y,T(x,z)),x) = L(x,y,x). [hyper(236,a,7144,a(flip),b,11657,a(flip)),flip(a)]. given #10661 (H,wt=15): 11656 L(x,T(x,y) \ z,u) = L(x,x \ z,u). [para(5204(a,1),11652(a,1,2))]. given #10662 (H,wt=17): 11658 L(T(x,y),K(x,z) * u,w) = L(T(x,y),u,w). [para(8054(a,1),11655(a,1,2,1))]. given #10663 (H,wt=17): 11661 L(x,y / T(x,z),x) = L(x,T(x,z) \ y,x). [para(121(a,1),11659(a,1,2)),flip(a)]. given #10664 (H,wt=15): 11664 L(x,y / T(x,z),x) = L(x,x \ y,x). [hyper(236,a,11656,a(flip),b,11661,a)]. given #10665 (H,wt=19): 11662 L(T(x,y),T(x,z) \ u,w) = L(T(x,y),x \ u,w). [para(5178(a,1),11658(a,1,2)),flip(a)]. given #10666 (H,wt=18): 11667 (x * (K(y,z) / z)) \ x = L(T(z,y),z \ 1,x). [hyper(236,a,5010,a(flip),b,11662,a(flip)),flip(a)]. given #10667 (H,wt=19): 11663 L(T(x,y),z \ T(u,x),w) = L(T(x,y),z \ u,w). [para(5540(a,1),11658(a,1,2)),flip(a)]. given #10668 (H,wt=21): 11668 L(T(x,y),x \ (K(z,x) * u),w) = L(T(x,y),x \ u,w). [para(5196(a,2),11662(a,1,2))]. given #10669 (H,wt=21): 11669 L(T(x,y),T(z / T(x,u),x),w) = L(T(x,y),x \ z,w). [para(8602(a,2),11662(a,1,2))]. given #10670 (H,wt=19): 11677 L(T(x,y),z / T(x,u),x) = L(T(x,y),x \ z,x). [hyper(11129,a,11669,a)]. given #10671 (H,wt=21): 11670 T(x,y) \ L(T(x,y),x \ 1,z) = x \ L(x,x \ 1,z). [para(11662(a,1),10318(a,1,2))]. given #10672 (H,wt=21): 11676 L(T(x,y),x \ (K(z,x) * u),w) = T(L(x,x \ u,w),y). [hyper(236,a,40,a(flip),b,11668,a)]. given #10673 (H,wt=21): 11679 L(T(x,y),x \ (z * K(u,x)),w) = T(L(x,x \ z,w),y). [para(7337(a,1),11676(a,1,2,2))]. given #10674 (H,wt=23): 11625 K(x,L(y,z,u)) * (T(x,y) \ w) = a(u,z,K(x,y)) \ (x \ w). [hyper(72,a,5178,a(flip),b,11504,a),flip(a)]. given #10675 (H,wt=23): 11630 K(L(x,y * z,u),z \ 1) = (w * K(z \ 1,L(x,y,u))) \ w. [para(11628(a,1),7549(a,1,1,2)),flip(a)]. given #10676 (H,wt=19): 11680 K(L(x,y * z,u),z \ 1) = K(L(x,y,u),z \ 1). [hyper(236,a,7647,a(flip),b,11630,a)]. given #10677 (H,wt=19): 11681 K(L(x,y * z,u),z \ 1) = K(x,L(z \ 1,y,u)). [hyper(236,a,11533,a(flip),b,11680,a)]. given #10678 (H,wt=19): 11682 K(x,L(y \ 1,z * y,u)) = K(x,L(y \ 1,z,u)). [hyper(11595,a,11681,a)]. given #10679 (H,wt=23): 11645 K(x,K(y \ (z / u),L(u,w,v5))) = K(x,K(y \ z,L(u,w,v5))). [hyper(11561,a,11572,a)]. given #10680 (H,wt=23): 11683 K(x,K(y \ (z \ u),L(z,w,v5))) = K(x,K(y \ u,L(z,w,v5))). [para(9815(a,1),11645(a,1,2))]. given #10681 (H,wt=24): 11422 x \ (y \ ((a(x,z,x) * y) * x)) = R(T(a(x,z,x),y * x),y,x). [para(11420(a,1),1100(a,1,2,2,1,1))]. given #10682 (H,wt=24): 11496 T(L(K(x,y),z,u) \ w,K(x,L(y,z,u))) = w / L(K(x,y),z,u). [para(11470(a,1),8635(a,1,2))]. given #10683 (H,wt=24): 11511 K(x \ 1,L(y,z,u)) * (L(x,z,u) \ 1) = T(L(x,z,u) \ 1,y). [para(11480(a,1),4897(a,2,1)),flip(a)]. given #10684 (H,wt=24): 11515 L(x,y,z) * K(u,L(x \ 1,y,z)) = T(1 / L(x,y,z),u) \ 1. [para(11486(a,2),7516(a,2,2)),flip(a)]. given #10685 (H,wt=24): 11542 K(x,L(T(y,z),u,z / (u * x))) = K(z / ((z / (u * x)) * u),y). [hyper(236,a,8138,a(flip),b,11533,a(flip))]. given #10686 (H,wt=24): 11545 K(T(x,y \ z),L(u,y \ z,y)) = K(z \ (y * (x * (y \ z))),u). [para(681(a,1),11533(a,1,1)),flip(a)]. given #10687 (H,wt=24): 11647 K(((x \ y) / z) \ y,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). [hyper(11593,a,10029,a)]. given #10688 (H,wt=24): 11666 T((x * K(y,z)) / (x / T(z,y)),x * K(y,z)) = L(z,z \ x,z). [hyper(236,a,10165,a,b,11664,a(flip)),flip(a)]. given #10689 (H,wt=24): 11684 T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w / L(K(y,x),z,u). [para(6039(a,1),11496(a,1,1))]. given #10690 (H,wt=24): 11686 K(x,T(L(y,z \ u,z),z \ u)) = K(u \ (z * (x * (z \ u))),y). [hyper(7823,a,11545,a)]. given #10691 (H,wt=24): 11687 K(((x \ y) \ y) * z,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). [hyper(236,a,10912,a(flip),b,11647,a(flip)),flip(a)]. given #10692 (H,wt=24): 11690 T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w * L(K(x,y),z,u). [hyper(236,a,8800,a(flip),b,11684,a)]. given #10693 (H,wt=24): 11691 K(x,L(T(y,z \ u),z \ u,z)) = K(u \ (z * (x * (z \ u))),y). [para(40(a,2),11686(a,1,2))]. given #10694 (H,wt=24): 11692 T(x * L(K(y,z),u,w),K(z,L(y,u,w))) = L(K(y,z),u,w) * x. [para(11690(a,1),7983(a,1,1))]. given #10695 (H,wt=25): 11445 (L(x,y,z) * K((u \ x) \ x,x)) * u = (x \ (L(x,y,z) * u)) * x. [para(11442(a,1),9902(a,1,1,2))]. given #10696 (H,wt=21): 11693 (x \ (L(x,y,z) * u)) * x = (L(x,y,z) * K(u,x)) * u. [para(6287(a,1),11445(a,1,1,2)),flip(a)]. given #10697 (H,wt=19): 11694 (x \ (L(x,y,z) * u)) * x = L(x,y,z) * T(u,x). [hyper(236,a,6188,a(flip),b,11693,a)]. given #10698 (H,wt=19): 11695 (L(x,y,z) * (x \ u)) * x = L(x,y,z) * T(u,x). [para(1205(a,1),11694(a,1,1))]. given #10699 (H,wt=23): 11696 (x / y) \ (L(y,z,u) * (y \ x)) = x \ (L(y,z,u) * T(x,y)). [para(11695(a,1),10103(a,2,2))]. given #10700 (H,wt=23): 11697 (x / y) \ (L(y,z,u) * (y \ x)) = T(L(y,z,u) * K(x,y),x). [hyper(236,a,6191,a(flip),b,11696,a)]. given #10701 (H,wt=25): 11547 (L(x,y,z) \ u) * K(x,L(u / L(x,y,z),y,z)) = u / L(x,y,z). [para(11533(a,1),4919(a,1,2))]. given #10702 (H,wt=19): 11698 L(x,y / L(x,z,u),w) = L(x,L(x,z,u) \ y,w). [para(11547(a,1),11654(a,1,2))]. given #10703 (H,wt=25): 11578 T(K(x,L(y,z,u)) * (u * z),K(x,L(y,z,u))) = u * (z * K(x,y)). [hyper(8205,a,11487,a)]. given #10704 (H,wt=25): 11641 K(x \ 1,L(y,z \ u,z)) != w | K((z * ((z \ u) * x)) \ u,y) = w. [para(6294(a,1),11491(a,1))]. given #10705 (H,wt=25): 11675 L(R(T(x,y),z,u),w \ T(v5,x),v6) = R(L(T(x,y),w \ v5,v6),z,u). [para(11663(a,1),44(a,1,1)),flip(a)]. given #10706 (H,wt=25): 11699 L(R(T(x,y),z,u),w \ T(v5,x),v6) = L(R(T(x,y),z,u),w \ v5,v6). [hyper(236,a,44,a(flip),b,11675,a)]. given #10707 (H,wt=26): 11512 (x * y) / (K(z \ 1,L(x,u,w)) * y) != v5 | T(x,L(z,u,w) \ 1) = v5. [para(11480(a,1),5356(a,1,2,1))]. given #10708 (H,wt=17): 11700 T(x,L(y \ 1,z,u)) = T(x,L(y,z,u) \ 1). [hyper(11512,a,11548,a),flip(a)]. given #10709 (H,wt=14): 11701 T(x,L(x \ 1,y,z)) = T(x,x \ 1). [hyper(236,a,4695,a(flip),b,11700,a)]. given #10710 (H,wt=25): 11702 L(x \ 1,y,z) * (T(x,x \ 1) * u) = L(1 / x,y,z) * (x * u). [para(11701(a,1),5783(a,1,2,1))]. given #10711 (H,wt=26): 11598 K(x * (y / (z * y)),z \ 1) != u | K(x * ((z * y) \ y),z \ 1) = u. [para(5803(a,1),11587(a,1,1,2))]. given #10712 (H,wt=26): 11602 K(x,K((y * z) \ (u \ w),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [para(227(a,1),11508(a,1,2,2)),flip(a)]. given #10713 (H,wt=26): 11609 x * K(y,L(z,u * y,(u * y) \ x)) = (x / (u * y)) * (u * T(y,z)). [para(6201(a,1),11505(a,2,2))]. given #10714 (H,wt=24): 11704 x * K(y,L(z,u,(u * y) \ x)) = (x / (u * y)) * (u * T(y,z)). [para(11538(a,1),11609(a,1,2))]. given #10715 (H,wt=26): 11643 K(x,L(T((y / z) \ 1,u),w,v5)) != v6 | K(x,L(T(z / y,u),w,v5)) = v6. [para(11498(a,2),11589(a,1))]. given #10716 (H,wt=26): 11644 a(x,y,K(z,K(u,w))) != v5 | K(z,K(w,L(u,y,x))) * K(z,K(u,w)) = v5. [para(11571(a,1),5870(a,1))]. given #10717 (H,wt=26): 11646 (x * y) * z != x * (y * K(u,y \ (x \ w))) | K(u,(x * y) \ w) = z. [para(11580(a,1),19(a,1)),flip(a)]. given #10718 (H,wt=26): 11685 K(x,L(y,z,u)) * (L(x \ 1,z,u) \ 1) = T(L(x \ 1,z,u) \ 1,y). [para(3247(a,1),11511(a,1,1))]. given #10719 (H,wt=26): 11703 K(x,K(y \ (z \ (u \ w)),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [para(10115(a,1),11602(a,1,2))]. given #10720 (H,wt=24): 11705 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,(z * (y * w)) \ u)). [hyper(236,a,11683,a(flip),b,11703,a(flip)),flip(a)]. given #10721 (H,wt=21): 11706 K(x,K(y,(z * (u * y)) \ w)) = K(y,K(x,(z * u) \ w)). [hyper(236,a,11567,a(flip),b,11705,a(flip))]. given #10722 (H,wt=21): 11707 K(x,K(y,(z * (u * x)) \ w)) = K(x,K(y,(z * u) \ w)). [hyper(7921,a,11706,a)]. given #10723 (H,wt=24): 11708 K(x,K(y,a(z,x,T(u,x)))) = K(x,K(y,(z * u) \ ((z * x) * u))). [hyper(236,a,9970,a(flip),b,11707,a(flip)),flip(a)]. given #10724 (H,wt=12): 11709 K(x,K(y,a(z,x,T(u,x)))) = 1. [hyper(236,a,9720,a(flip),b,11708,a)]. given #10725 (H,wt=10): 11711 K(x,K(y,a(z,x,u))) = 1. [para(162(a,1),11709(a,1,2,2,3))]. given #10726 (H,wt=15): 11713 T(a(x,y,z),K(u,y)) = a(x,y,z) * 1. [para(11711(a,1),7893(a,1,2)),flip(a)]. given #10727 (H,wt=13): 11714 T(a(x,y,z),K(u,y)) = a(x,y,z). [hyper(236,a,12,a(flip),b,11713,a)]. given #10728 (H,wt=17): 11715 T(a(x,y \ z,u),K(y,z)) = a(x,y \ z,u). [hyper(9326,a,11714,a)]. given #10729 (H,wt=24): 11716 a(x,y \ z,u) * K(y,z) != w | K(y,z) * a(x,y \ z,u) = w. [para(11715(a,1),8201(a,1,1))]. given #10730 (H,wt=27): 11516 L(x,y,z) * K(u,L(x \ 1,y,z)) != w | T(1 / L(x,y,z),u) \ 1 = w. [para(11486(a,2),7519(a,1,2))]. given #10731 (H,wt=27): 11577 K(x,L((y * z) \ u,u,1 / y)) = K(x,L(z,y,y \ 1) \ ((1 / y) * u)). [para(2927(a,1),11485(a,1,2,1,1))]. given #10732 (H,wt=27): 11581 (x * (x \ y)) * K(z,y \ (x * u)) = x * ((x \ y) * K(z,(x \ y) \ u)). [para(450(a,1),11487(a,1,2,2))]. given #10733 (H,wt=23): 11718 x \ (y * K(z,y \ (x * u))) = (x \ y) * K(z,(x \ y) \ u). [hyper(587,a,11581,a)]. given #10734 (H,wt=26): 11719 x \ (y * K(z,y \ (x * u))) != (x \ y) * w | K(z,(x \ y) \ u) = w. [para(11718(a,2),19(a,1))]. given #10735 (H,wt=27): 11633 K(x,L(T((y / z) \ 1,y \ z),u,w)) = K(x,L(T((y / z) \ 1,1),u,w)). [hyper(11361,a,11623,a),flip(a)]. given #10736 (H,wt=25): 11720 K(x,L(T((y / z) \ 1,y \ z),u,w)) = K(x,L((y / z) \ 1,u,w)). [para(145(a,1),11633(a,2,2,1))]. given #10737 (H,wt=23): 11721 K(x,L(T(y / z,z \ y),u,w)) = K(x,L((z / y) \ 1,u,w)). [hyper(11643,a,11720,a)]. given #10738 (H,wt=19): 11722 K(x,L((y / z) \ 1,u,w)) = K(x,L(z / y,u,w)). [para(196(a,1),11721(a,1,2,1)),flip(a)]. given #10739 (H,wt=27): 11717 K(x,L((y * z) \ u,u,y \ 1)) = K(x,L(z,y,y \ 1) \ ((1 / y) * u)). [para(3601(a,1),11577(a,1,2))]. given #10740 (H,wt=27): 11723 K(x,L((y * z) \ u,u,y \ 1)) = K(x,L(z,y,y \ 1) \ ((y \ 1) * u)). [hyper(236,a,5745,a(flip),b,11717,a)]. given #10741 (H,wt=28): 11499 x / K(y,L(T(z,u),u,x / (K(y,z) * u))) = (x / (u * K(y,T(z,u)))) * u. [para(11470(a,1),7358(a,1,2))]. given #10742 (H,wt=28): 11517 K(x,L(((y / z) \ u) \ 1,z \ y,z)) = K(x,((z * (y / z)) \ (z * u)) \ 1). [para(11127(a,1),11486(a,2,2,1))]. given #10743 (H,wt=26): 11725 K(x,L(((y / z) \ u) \ 1,z \ y,z)) = K(x,(z * u) \ (z * (y / z))). [hyper(236,a,6408,a(flip),b,11517,a)]. given #10744 (H,wt=28): 11546 (x * ((x \ y) * z)) * K(z,L(y,x \ y,x)) = (y \ (x * ((x \ y) * z))) * y. [para(11533(a,1),683(a,1,2))]. given #10745 (H,wt=28): 11583 (x * (y * z)) * K(u,L(z \ 1,y * z,x)) = x * (y * (z * K(u,z \ 1))). [para(7014(a,1),11487(a,2,2))]. given #10746 (H,wt=26): 11726 (x * (y * z)) * K(u,L(z \ 1,y,x)) = x * (y * (z * K(u,z \ 1))). [para(11682(a,1),11583(a,1,2))]. given #10747 (H,wt=28): 11634 K(x,R(x,y,z) \ ((x \ u) \ w)) != v5 | K(x,x * ((R(x,y,z) * u) \ w)) = v5. [para(11631(a,1),10884(a,1))]. given #10748 (H,wt=28): 11724 x * K(L(T(y,z),z,x / (K(u,y) * z)),u) = (x / (z * K(u,T(y,z)))) * z. [hyper(7561,a,11499,a)]. given #10749 (H,wt=28): 11727 x * K(L(y,z,x / (K(u,y) * z)),T(u,z)) = (x / (z * K(u,T(y,z)))) * z. [para(7310(a,1),11724(a,1,2))]. given #10750 (H,wt=26): 11728 x * K(L(y,z,x / (K(u,y) * z)),T(u,z)) = (x / (K(u,y) * z)) * z. [para(7281(a,1),11727(a,2,1,2))]. given #10751 (H,wt=26): 11729 x * K(y,L(T(z,u),u,x / (K(z,y) * u))) = (x / (K(z,y) * u)) * u. [para(11533(a,1),11728(a,1,2))]. given #10752 (H,wt=29): 11489 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(11470(a,1),1230(a,1,2,1))]. given #10753 (H,wt=29): 11730 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(5260(a,1),11489(a,1,2))]. given #10754 (H,wt=29): 11731 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(11533(a,1),11730(a,1,2,1))]. given #10755 (H,wt=27): 11732 K(x,y) \ (T(y,L(x,z,u)) * K(x,y)) = L(K(x,y),z,u) \ T(y,K(x,y)). [para(4906(a,1),11731(a,1,2))]. given #10756 (H,wt=25): 11733 L(K(x,y),z,u) \ T(y,K(x,y)) = K(x,y) \ (y * a(u,z,K(x,y))). [para(11521(a,1),11732(a,1,2)),flip(a)]. given #10757 (H,wt=30): 11402 (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(11374(a,1),11400(a,1,2))]. given #10758 (H,wt=30): 11418 R(T(x,T(x * y,x)),y * x,a(x,y,x)) = ((y * x) * a(x,y,x)) \ ((x * y) * x). [para(11414(a,1),888(a,1,1,2))]. given #10759 (H,wt=28): 11734 ((x * y) * a(y,x,y)) \ ((y * x) * y) = R(T(y,y * x),x * y,a(y,x,y)). [para(4104(a,1),11418(a,1,1)),flip(a)]. given #10760 (H,wt=30): 11574 K((x \ (y \ z)) \ u,L(x,u,y)) = K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z). [para(10739(a,1),11565(a,2,2))]. given #10761 (H,wt=30): 11626 L(x,y,z) \ ((u / x) \ (L(x,y,z) * (x \ u))) = x \ (x * a(z,y,K(x \ u,x))). [para(11564(a,1),9684(a,2,2))]. given #10762 (H,wt=28): 11736 L(x,y,z) \ T(L(x,y,z) * K(u,x),u) = x \ (x * a(z,y,K(x \ u,x))). [para(11697(a,1),11626(a,1,2))]. given #10763 (H,wt=23): 11737 x \ (x * a(y,z,K(x \ u,x))) = K(L(x,z,y),u) * K(u,x). [hyper(7155,a,11736,a),flip(a)]. given #10764 (H,wt=23): 11738 x \ (x * a(y,z,K(x \ u,x))) = K(x,L(u,z,y)) * K(u,x). [para(11533(a,1),11737(a,2,1))]. given #10765 (H,wt=19): 11739 x \ (x * a(y,z,K(x \ u,x))) = a(y,z,K(u,x)). [hyper(236,a,11502,a(flip),b,11738,a)]. given #10766 (H,wt=15): 11740 a(x,y,K(z \ u,z)) = a(x,y,K(u,z)). [hyper(306,a,11739,a)]. given #10767 (H,wt=15): 11742 a(x,y,K(z * u,z)) = a(x,y,K(u,z)). [para(13(a,1),11740(a,1,3,1)),flip(a)]. given #10768 (H,wt=15): 11743 a(x,y,K(z * u,u)) = a(x,y,K(z,u)). [para(4996(a,1),11740(a,1,3)),flip(a)]. given #10769 (H,wt=17): 11744 a(x,y,K(z,u \ z)) = a(x,y,K(u,u \ z)). [para(4998(a,1),11740(a,1,3)),flip(a)]. given #10770 (H,wt=17): 11745 a(x,y,K(z \ 1,u)) = a(x,y,K(z \ u,u)). [para(5693(a,1),11740(a,1,3))]. given #10771 (H,wt=19): 11746 a(x,y,K(z \ (u \ w),u)) = a(x,y,K(z \ w,u)). [para(10658(a,2),11740(a,1,3))]. given #10772 (H,wt=21): 11747 a(x,y,K(z \ (u * w),u \ z)) = a(x,y,K(w,u \ z)). [para(10652(a,1),11740(a,1,3))]. given #10773 (H,wt=30): 11627 K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(y / u,(z * y) \ K(z,1 / z))). [para(458(a,1),11569(a,1,2,2)),flip(a)]. given #10774 (H,wt=30): 11635 L(K(x,T(y \ z,K(u,w) \ y)),y,K(w,u)) = K(x,(K(w,u) * z) / (K(w,u) * y)). [para(5260(a,2),11481(a,1,1,2,2))]. given #10775 (H,wt=30): 11735 K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(((y \ z) \ u) * x,L(x,u,y)). [hyper(236,a,10909,a(flip),b,11574,a(flip))]. given #10776 (H,wt=27): 11749 K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(x * (z \ (y * u)),x). [hyper(236,a,11463,a(flip),b,11735,a)]. given #10777 (H,wt=24): 11750 K((x \ (y \ z)) \ u,L(x,y \ z,y)) = K(x * (z \ (y * u)),x). [hyper(11593,a,11749,a)]. given #10778 (H,wt=24): 11751 K(((x \ y) \ z) * u,L(u,x \ y,x)) = K(u * (y \ (x * z)),u). [hyper(236,a,10909,a(flip),b,11750,a(flip)),flip(a)]. given #10779 (H,wt=19): 11752 K(((x \ y) / z) \ y,z) = K(z * (y \ (x * y)),z). [hyper(236,a,11687,a(flip),b,11751,a(flip)),flip(a)]. given #10780 (H,wt=17): 11753 K(((x \ y) / z) \ y,z) = K(z * T(x,y),z). [para(32(a,2),11752(a,2,1,2))]. given #10781 (H,wt=17): 11754 K(x * ((y \ z) \ z),x) = K(x * T(y,z),x). [hyper(10875,a,11753,a)]. given #10782 (H,wt=21): 11755 K(x,x * ((y \ z) \ z)) = u / (K(x * T(y,z),x) * u). [para(11754(a,1),5266(a,1,2,1)),flip(a)]. given #10783 (H,wt=17): 11757 K(x,x * ((y \ z) \ z)) = K(x,x * T(y,z)). [hyper(236,a,5266,a(flip),b,11755,a)]. given #10784 (H,wt=31): 11582 (x \ L(x,y,z)) * K(u,L(w,x \ 1,L(x,y,z))) = L(x,y,z) * ((x \ 1) * K(u,w)). [para(1207(a,1),11487(a,1,1))]. given #10785 (H,wt=31): 11632 K(((x * y) \ z) \ (K(y,x) * u),w) != v5 | K(((y * x) \ z) \ u,L(w,u,K(y,x))) = v5. [para(11048(a,1),11591(a,1,1,1))]. given #10786 (H,wt=31): 11748 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(11743(a,1),11733(a,2,2,2))]. given #10787 (H,wt=29): 11758 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = T(y,x * y) * a(u,z,K(x,y)). [hyper(236,a,5188,a(flip),b,11748,a)]. given #10788 (H,wt=32): 11610 (x * (K(x,y) * z)) * K(u,L(w,x,K(x,y) * z)) = (K(x,y) * z) * (T(x,z) * K(u,w)). [para(7409(a,1),11506(a,2,2,1))]. given #10789 (H,wt=30): 11759 (T(x,y) * z) * K(u,L(w,x,K(x,y) * z)) = (K(x,y) * z) * (T(x,z) * K(u,w)). [para(4856(a,1),11610(a,1,1))]. given #10790 (H,wt=33): 11672 x / ((K(y,z) / z) * ((x * (K(y,z) / z)) \ x)) = R(x,K(y,z) / z,L(T(z,y),z \ 1,x)). [para(11667(a,1),111(a,1,3)),flip(a)]. given #10791 (H,wt=32): 11760 x / ((K(y,z) / z) * L(T(z,y),z \ 1,x)) = R(x,K(y,z) / z,L(T(z,y),z \ 1,x)). [para(11667(a,1),11672(a,1,2,2))]. given #10792 (H,wt=30): 11761 R(x,K(y,z) / z,L(T(z,y),z \ 1,x)) = x / (T(z,y) \ L(T(z,y),z \ 1,x)). [para(5011(a,1),11760(a,1,2)),flip(a)]. given #10793 (H,wt=26): 11762 R(x,K(y,z) / z,L(T(z,y),z \ 1,x)) = x / (z \ L(z,z \ 1,x)). [para(11670(a,1),11761(a,2,2))]. given #10794 (H,wt=35): 11464 (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(11215(a,1),11411(a,1,2))]. given #10795 (H,wt=34): 11764 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(4329(a,1),11464(a,1,2,1)),flip(a)]. given #10796 (H,wt=35): 11673 R(x,K(y,z) / z,L(T(z,y),z \ 1,x)) \ 1 = x \ ((K(y,z) / z) * ((x * (K(y,z) / z)) \ x)). [para(11667(a,1),1507(a,1,1,3))]. given #10797 (H,wt=30): 11765 x \ ((K(y,z) / z) * ((x * (K(y,z) / z)) \ x)) = (x / (z \ L(z,z \ 1,x))) \ 1. [para(11762(a,1),11673(a,1,1)),flip(a)]. given #10798 (H,wt=29): 11766 x \ ((K(y,z) / z) * L(T(z,y),z \ 1,x)) = (x / (z \ L(z,z \ 1,x))) \ 1. [para(11667(a,1),11765(a,1,2,2))]. given #10799 (H,wt=27): 11768 x \ (T(y,z) \ L(T(y,z),y \ 1,x)) = (x / (y \ L(y,y \ 1,x))) \ 1. [para(5011(a,1),11766(a,1,2))]. given #10800 (H,wt=23): 11769 (x / (y \ L(y,y \ 1,x))) \ 1 = x \ (y \ L(y,y \ 1,x)). [para(11670(a,1),11768(a,1,2)),flip(a)]. given #10801 (H,wt=37): 11756 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(11754(a,1),10963(a,1,1,2,2))]. given #10802 (H,wt=35): 11770 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(11757(a,1),11756(a,1,2,1,1))]. given #10803 (H,wt=21): 11771 K(x,T(x * ((y \ z) \ z),u)) = K(x,T(x * T(y,z),u)). [hyper(236,a,10963,a(flip),b,11770,a(flip))]. given #10804 (H,wt=38): 6774 (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(6707(a,1),3673(a,2,1)),flip(a)]. given #10805 (H,wt=38): 7021 (x * y) \ ((x * (y * z)) * K(u,(x * (y * z)) \ (x * y))) = L(z,y,x) * K(u,(x * (y * z)) \ (x * y)). [para(28(a,2),7020(a,2,1))]. given #10806 (H,wt=35): 11772 (x * y) \ ((x * (y * z)) * K(u,L(z \ 1,y,x))) = L(z,y,x) * K(u,(x * (y * z)) \ (x * y)). [para(11514(a,1),7021(a,1,2,2))]. given #10807 (H,wt=32): 11773 (x * y) \ ((x * (y * z)) * K(u,L(z \ 1,y,x))) = L(z,y,x) * K(u,L(z \ 1,y,x)). [para(11514(a,1),11772(a,2,2))]. given #10808 (H,wt=29): 11774 (x * y) \ ((x * (y * z)) * K(u,L(z \ 1,y,x))) = T(1 / L(z,y,x),u) \ 1. [hyper(236,a,11515,a(flip),b,11773,a)]. given #10809 (H,wt=26): 11775 (x * y) \ (x * (y * (z * K(u,z \ 1)))) = T(1 / L(z,y,x),u) \ 1. [para(11726(a,1),11774(a,1,2))]. given #10810 (H,wt=21): 11776 L(x * K(y,x \ 1),z,u) = T(1 / L(x,z,u),y) \ 1. [hyper(447,a,11775,a)]. given #10811 (H,wt=29): 11777 L(1 / (1 / (x * K(y,x \ 1))),z,u) = 1 / (1 / (T(1 / L(x,z,u),y) \ 1)). [para(11776(a,1),2695(a,2,2,2))]. given #10812 (H,wt=25): 11779 L(1 / (1 / (x * K(y,x \ 1))),z,u) = 1 / T(1 / L(x,z,u),y). [para(62(a,1),11777(a,2,2))]. given #10813 (H,wt=21): 11781 L(1 / T(1 / x,y),z,u) = 1 / T(1 / L(x,z,u),y). [para(7518(a,1),11779(a,1,1,2))]. given #10814 (H,wt=21): 11782 L(1 / T(1 / x,y),z,u) \ 1 = T(1 / L(x,z,u),y). [para(11781(a,2),65(a,1,1))]. given #10815 (H,wt=21): 11783 L(1 / T(x,y),z,u) \ 1 = T(1 / L(x \ 1,z,u),y). [para(62(a,1),11782(a,1,1,1,2,1))]. given #10816 (H,wt=21): 11784 L(1 / T(x,y),z,u) \ 1 = T(L(1 / x,z,u) \ 1,y). [para(2696(a,1),11783(a,2,1))]. given #10817 (H,wt=25): 11785 T(x * L(x \ 1,y,z),u) \ T(x,u) = T(L(1 / x,y,z) \ 1,u). [hyper(236,a,2644,a,b,11784,a(flip)),flip(a)]. given #10818 (H,wt=38): 7039 ((x * ((y * x) \ y)) * z) * ((x * ((y * x) \ y)) \ 1) = R(z,x * ((y * x) \ y),(x * ((y * x) \ y)) \ 1). [hyper(903,a,7037,a),flip(a)]. given #10819 (H,wt=38): 8585 T((K(x,y) * K(y,z)) \ (K(x,y) * (u * K(y,z))),K(x,y)) = R(T(u,K(x,y) * K(y,z)),K(x,y),K(y,z)). [para(7421(a,1),984(a,1,1,2))]. given #10820 (H,wt=33): 11787 R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(L(T(x,K(z,u)),K(z,u),K(y,z)),K(y,z)). [para(178(a,1),8585(a,1,1)),flip(a)]. given #10821 (H,wt=38): 8651 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(236,a,3356,a,b,8250,a)]. given #10822 (H,wt=38): 8919 (x \ 1) * (R(K(y,x),x \ K(x,z),u) * u) = ((((x \ 1) * (K(y,x) * u)) / ((x \ 1) * u)) * (x \ 1)) * u. [para(8918(a,2),1523(a,2,2,1)),flip(a)]. given #10823 (H,wt=26): 11788 (x \ 1) * (R(K(y,x),x \ K(x,z),u) * u) = (K(y,x) * (x \ 1)) * u. [para(6127(a,1),8919(a,2,1,1))]. given #10824 (H,wt=24): 11789 (x \ 1) * (R(K(y,x),x \ K(x,z),u) * u) = (T(x,y) \ 1) * u. [para(5204(a,1),11788(a,2,1))]. given #10825 (H,wt=22): 11791 (x \ 1) * (R(K(y,x),x \ 1,z) * z) = (T(x,y) \ 1) * z. [para(127(a,1),11789(a,1,2,1,2,2))]. given #10826 (H,wt=17): 11792 (x \ 1) * (K(y,x) * z) = (T(x,y) \ 1) * z. [para(10333(a,1),11791(a,1,2,1))]. given #10827 (H,wt=17): 11793 K(x,y) * ((y \ 1) * z) = (T(y,x) \ 1) * z. [hyper(236,a,6128,a,b,11792,a(flip)),flip(a)]. given #10828 (H,wt=10): 11796 L(x,y \ 1,K(z,y)) = x. [hyper(5366,a,11793,a)]. given #10829 (H,wt=10): 11798 L(x,y,K(z,y \ 1)) = x. [hyper(236,a,6999,a(flip),b,11796,a(flip)),flip(a)]. given #10830 (H,wt=18): 11794 T(x,y) * ((T(x,y) \ 1) * z) = L(z,x \ 1,x). [para(11792(a,1),6704(a,1,2))]. given #10831 (H,wt=19): 11803 (K(x,y \ 1) * y) \ (K(x,y \ 1) * (y * z)) = z. [hyper(236,a,28,a(flip),b,11798,a(flip)),flip(a)]. given #10832 (H,wt=19): 11804 (x * K(y,x \ 1)) \ (K(y,x \ 1) * (x * z)) = z. [para(3041(a,1),11803(a,1,1))]. given #10833 (H,wt=19): 11805 (x * K(y,x \ 1)) \ (x * (K(y,x \ 1) * z)) = z. [para(6023(a,1),11804(a,1,2))]. given #10834 (H,wt=10): 11806 L(x,K(y,z \ 1),z) = x. [hyper(447,a,11805,a)]. given #10835 (H,wt=10): 11811 L(x,K(y,z),z \ 1) = x. [para(3386(a,1),11806(a,1,2))]. given #10836 (H,wt=19): 11812 ((x \ 1) * K(y,x)) \ z = K(x,y) * ((x \ 1) \ z). [hyper(236,a,5277,a(flip),b,11811,a(flip)),flip(a)]. given #10837 (H,wt=17): 11813 K(x,y) * ((x \ 1) \ z) = (T(x,y) \ 1) \ z. [para(4844(a,1),11812(a,1,1)),flip(a)]. given #10838 (H,wt=17): 11814 K(x,y) * ((x \ 1) \ z) = (x \ K(y,x)) \ z. [para(5171(a,1),11812(a,1,1)),flip(a)]. given #10839 (H,wt=17): 11815 (x \ ((y \ 1) \ x)) * x = (T(y,x) \ 1) \ x. [hyper(5981,a,11813,a)]. given #10840 (H,wt=17): 11817 (T(1 / x,y) \ 1) \ y = (y \ (x \ y)) * y. [para(65(a,1),11815(a,1,1,2,1)),flip(a)]. given #10841 (H,wt=17): 11818 x / ((x \ (y \ x)) * x) = T(1 / y,x) \ 1. [para(11817(a,1),62(a,1,2))]. given #10842 (H,wt=17): 11821 T(1 / (x \ y),y) \ 1 = x \ T(y,y \ x). [hyper(236,a,9773,a,b,11818,a(flip))]. given #10843 (H,wt=17): 11822 (x \ T(y,y \ x)) \ 1 = T((x \ y) \ 1,y). [para(11821(a,1),2483(a,1,1))]. given #10844 (H,wt=17): 11823 (((x \ y) * x) \ x) \ 1 = T((y \ x) \ 1,x). [para(5958(a,2),11822(a,1,1))]. given #10845 (H,wt=17): 11824 T(((x * y) \ x) \ 1,x) = ((y * x) \ x) \ 1. [para(13(a,1),11823(a,1,1,1,1)),flip(a)]. given #10846 (H,wt=18): 11825 L(x \ 1,x,y) \ K(x,y) = ((x * y) \ y) \ 1. [hyper(1243,a,11824,a)]. given #10847 (H,wt=19): 11816 (x \ K(y,x)) \ z = z * T(z \ ((x \ 1) \ z),y). [hyper(6084,a,11814,a),flip(a)]. given #10848 (H,wt=20): 11819 x / ((x \ (y \ x)) * x) != z | T(1 / y,x) \ 1 = z. [para(11817(a,1),294(a,1,2)),flip(b)]. given #10849 (H,wt=27): 11826 ((1 / (1 / x)) \ K(y,x)) \ z = z * T(z \ (((1 / (1 / x)) \ 1) \ z),y). [para(5234(a,1),11816(a,1,1,2))]. given #10850 (H,wt=23): 11827 x * T(x \ (((1 / (1 / y)) \ 1) \ x),z) = (1 / T(y,z)) \ x. [para(4866(a,1),11826(a,1,1)),flip(a)]. given #10851 (H,wt=19): 11828 x * T(x \ ((1 / y) \ x),z) = (1 / T(y,z)) \ x. [para(65(a,1),11827(a,1,2,1,2,1))]. given #10852 (H,wt=38): 9601 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(9600(a,1),8335(a,1,1,2,1))]. given #10853 (H,wt=36): 11830 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(10528(a,1),9601(a,1,1,2))]. given #10854 (H,wt=36): 11831 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(9003(a,1),11830(a,1,1))]. given #10855 (H,wt=36): 11832 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),11831(a,1,2))]. given #10856 (H,wt=34): 11833 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(203(a,1),11832(a,1,2,1))]. given #10857 (H,wt=34): 11834 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(236,a,9582,a(flip),b,11833,a(flip)),flip(a)]. given #10858 (H,wt=38): 9979 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(9976(a,1),2683(a,1,1))]. given #10859 (H,wt=36): 11835 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(9976(a,1),9979(a,1,2,1,1)),flip(a)]. given #10860 (H,wt=33): 11836 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(236,a,2683,a(flip),b,11835,a)]. given #10861 (H,wt=27): 11838 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). [para(1051(a,1),11836(a,2,1))]. given #10862 (H,wt=21): 11839 L(x \ L(x,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). [para(1051(a,1),11838(a,1,1))]. given #10863 (H,wt=34): 11840 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(11839(a,1),11501(a,1,2,2))]. given #10864 (H,wt=38): 10890 ((x * y) \ (x * (z * y))) * K(z * y,(z * y) * ((x * y) \ x)) = ((z * y) * L(T(z,y),y,x)) / (z * y). [para(178(a,1),10850(a,2,1,2))]. given #10865 (H,wt=35): 11841 L(T(x,y),y,z) * K(x * y,(x * y) * ((z * y) \ z)) = ((x * y) * L(T(x,y),y,z)) / (x * y). [para(178(a,1),10890(a,1,1))]. given #10866 (H,wt=31): 11842 L(T(x,y),y,z) * K(x * y,y \ (x * y)) = ((x * y) * L(T(x,y),y,z)) / (x * y). [para(10843(a,1),11841(a,1,2))]. given #10867 (H,wt=29): 11843 ((x * y) * L(T(x,y),y,z)) / (x * y) = L(T(x,y),y,z) * K(x * y,T(x,y)). [para(32(a,2),11842(a,1,2,2)),flip(a)]. given #10868 (H,wt=38): 11297 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(5033(a,1),11296(a,1,2)),flip(a)]. given #10869 (H,wt=34): 11845 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),11297(a,2,1,1))]. given #10870 (H,wt=30): 11846 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w). [hyper(236,a,9715,a(flip),b,11845,a)]. given #10871 (H,wt=26): 11848 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),11846(a,1,1,1))]. given #10872 (H,wt=22): 11849 K(R(x,y,z),R(x / u,u,K(w,x)) \ x) = K(R(x,y,z),u). [para(13(a,1),11848(a,1,2,2))]. given #10873 (H,wt=25): 11850 K(R(x,y,z),R(x / u,u,L(K(w,x),v5,v6)) \ x) = K(R(x,y,z),u). [para(5909(a,1),11849(a,1,2,1,3))]. given #10874 (H,wt=38): 11638 (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(4305(a,1),11637(a,1,1))]. given #10875 (H,wt=36): 11851 (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(9910(a,1),11638(a,1,2))]. given #10876 (H,wt=34): 11852 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(4196(a,1),11851(a,1,2)),flip(a)]. given #10877 (H,wt=34): 11853 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),11852(a,2,2))]. given #10878 (H,wt=30): 11854 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(236,a,8765,a(flip),b,11853,a)]. given #10879 (H,wt=30): 11855 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(11533(a,1),11854(a,2,1))]. given #10880 (H,wt=28): 11856 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(236,a,8290,a(flip),b,11855,a)]. given #10881 (H,wt=26): 11857 T(x,y * x) * a(z,u,K(T(y,x),T(x,y))) = L(T(x,L(y,u,z)),y,x). [para(7270(a,1),11856(a,1,2,3))]. given #10882 (H,wt=22): 11858 T(x,y * x) * a(z,u,K(y,x)) = L(T(x,L(y,u,z)),y,x). [para(4128(a,1),11857(a,1,2,3))]. given #10883 (H,wt=26): 11859 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). [hyper(236,a,11758,a,b,11858,a(flip)),flip(a)]. given #10884 (H,wt=26): 11860 K(x * y,L(y,z,u)) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). [para(11470(a,1),11859(a,1,1))]. given #10885 (H,wt=20): 11861 L(T(x,L(y,z,u)),y,x) = K(y * x,L(x,z,u)) \ x. [para(3137(a,1),11860(a,1,2)),flip(a)]. given #10886 (H,wt=20): 11862 L(T(x,L(y,z,u)),y,x) = K(L(x,z,u),y * x) * x. [hyper(236,a,5260,a(flip),b,11861,a)]. given #10887 (H,wt=20): 11863 L(T(x,L(y,z,u)),y,x) = K(x,L(y * x,z,u)) * x. [para(11533(a,1),11862(a,2,1))]. given #10888 (H,wt=18): 11864 L(T(x,L(y,z,u)),y,x) = T(x,L(y * x,z,u)). [hyper(236,a,4897,a,b,11863,a)]. given #10889 (H,wt=21): 11865 T(x * a(y,z,K(u,x)),x * u) = T(x,L(u * x,z,y)). [hyper(236,a,11607,a,b,11864,a(flip)),flip(a)]. given #10890 (H,wt=38): 11786 ((x * L(x \ 1,y,z)) \ T(x,u)) \ T(L(1 / x,y,z) \ 1,u) = K(u,T(x * L(x \ 1,y,z),T(x,u))). [hyper(72,a,11785,a(flip),b,8578,a)]. given #10891 (H,wt=39): 3985 x / ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x))) = x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)). [para(1240(a,1),3983(a,1,2,2))]. given #10892 (H,wt=25): 11866 x * (T(((x * y) \ x) \ 1,x) \ (((x * y) \ x) \ 1)) = x / K(y,x). [para(3249(a,1),3985(a,1,2)),flip(a)]. given #10893 (H,wt=23): 11867 x * (((x * y) \ (x * T(x \ (x * y),x))) \ 1) = x / K(y,x). [para(3287(a,1),11866(a,1,2))]. given #10894 (H,wt=39): 4575 (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(4540(a,1),455(a,1,1))]. given #10895 (H,wt=39): 4734 T(((x \ 1) * (y / R(x \ 1,x,z))) / (x \ 1),R(x \ 1,x,z)) = ((1 / x) * ((z / (x * z)) \ y)) / (x \ 1). [para(4733(a,1),670(a,2,1))]. given #10896 (H,wt=36): 11869 T(((x \ 1) * (y / R(x \ 1,x,z))) / (x \ 1),x \ 1) = ((1 / x) * ((z / (x * z)) \ y)) / (x \ 1). [hyper(236,a,4190,a(flip),b,4734,a(flip)),flip(a)]. given #10897 (H,wt=24): 11870 ((1 / x) * ((y / (x * y)) \ z)) / (x \ 1) = z / R(x \ 1,x,y). [hyper(287,a,11869,a)]. given #10898 (H,wt=39): 6889 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(6888(a,1),2041(a,1,1)),flip(a)]. given #10899 (H,wt=32): 11873 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R((1 / x) \ 1,y,z). [para(6888(a,1),6889(a,2,2,1,1))]. given #10900 (H,wt=28): 11874 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R(x,y,z). [para(65(a,1),11873(a,2,2,1))]. given #10901 (H,wt=26): 11876 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [hyper(236,a,3686,a(flip),b,11874,a)]. given #10902 (H,wt=22): 11877 T((1 / x) * R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [para(65(a,1),11876(a,1,1,2,1))]. given #10903 (H,wt=20): 11878 T(x \ R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [para(3686(a,1),11877(a,1,1))]. given #10904 (H,wt=17): 11879 ((x \ R(x,y,z)) \ 1) \ 1 = x \ R(x,y,z). [hyper(6371,a,11878,a)]. given #10905 (H,wt=33): 11880 T(R(x \ R(x,y,z),x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(11879(a,1),11302(a,1,1,1))]. given #10906 (H,wt=32): 11881 T((x * (y * z)) \ (R(x,y,z) * (y * z)),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [hyper(752,a,11880,a)]. given #10907 (H,wt=29): 11882 T((x * (y * z)) \ ((x * y) * z),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(113(a,1),11881(a,1,1,2))]. given #10908 (H,wt=22): 11883 (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1 = T(a(x,y,z),x). [para(24(a,2),11882(a,1,1)),flip(a)]. given #10909 (H,wt=39): 7031 (x * K(y \ x,x \ y)) * K(z,1 \ ((y \ x) \ 1)) = y * ((((y \ x) \ 1) \ 1) * K(z,1 \ ((y \ x) \ 1))). [para(2714(a,2),7019(a,1,1))]. given #10910 (H,wt=37): 11884 (x * K(y \ x,x \ y)) * K(z,(y \ x) \ 1) = y * ((((y \ x) \ 1) \ 1) * K(z,1 \ ((y \ x) \ 1))). [para(50(a,1),7031(a,1,2,2))]. given #10911 (H,wt=35): 11885 (x * K(y \ x,x \ y)) * K(z,x \ y) = y * ((((y \ x) \ 1) \ 1) * K(z,1 \ ((y \ x) \ 1))). [para(6408(a,1),11884(a,1,2))]. given #10912 (H,wt=39): 9509 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(8204(a,1),7520(a,1,2)),flip(a)]. given #10913 (H,wt=39): 9587 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(8993(a,1),9585(a,1,2,1,1))]. given #10914 (H,wt=39): 10152 ((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(10150(a,1),6928(a,2,2,2,1,1))]. given #10915 (H,wt=29): 11887 a(x,K(x,y) * z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(236,a,10377,a(flip),b,10152,a(flip)),flip(a)]. given #10916 (H,wt=27): 11888 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(11247,a,11887,a)]. given #10917 (H,wt=27): 11891 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((x * (x \ v5)) * R(x,z,R(x,u,w)))). [para(11150(a,1),11888(a,2,2,2))]. given #10918 (H,wt=23): 11892 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ (v5 * R(x,z,R(x,u,w)))). [para(14(a,1),11891(a,2,2,2,1))]. given #10919 (H,wt=19): 11893 a(T(x,y),z,R(x,u,w)) = x \ R(x,z,R(x,u,w)). [para(13(a,1),11892(a,2,2))]. given #10920 (H,wt=17): 11895 a(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(236,a,10265,a(flip),b,11893,a)]. given #10921 (H,wt=20): 11897 a(x,T(y,x),R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(11895(a,1),4417(a,1))]. given #10922 (H,wt=21): 11896 a(x,T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [hyper(236,a,11248,a(flip),b,11895,a(flip))]. given #10923 (H,wt=39): 10586 (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(72,a,10585,a,b,1461,a)]. given #10924 (H,wt=39): 10964 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(10045(a,1),10963(a,1,1,2,2))]. given #10925 (H,wt=39): 11336 K(x \ (x / y),(x \ (x / y)) \ 1) * (y * (x \ (x / y))) = (y \ 1) \ T(x \ (x / y),(x \ (x / y)) \ 1). [para(11334(a,1),4578(a,1,2))]. given #10926 (H,wt=33): 11901 (x \ 1) \ T(y \ (y / x),(y \ (y / x)) \ 1) = K(y \ (y / x),x) * (x * (y \ (y / x))). [para(6422(a,1),11336(a,1,1)),flip(a)]. given #10927 (H,wt=25): 11902 (x \ 1) \ T(y \ (y / x),(y \ (y / x)) \ 1) = (y \ (y / x)) * x. [hyper(236,a,4817,a(flip),b,11901,a)]. given #10928 (H,wt=21): 11904 (x \ 1) \ (((y \ (y / x)) \ 1) \ 1) = (y \ (y / x)) * x. [hyper(658,a,11902,a)]. given #10929 (H,wt=21): 11905 (x \ 1) \ (y \ (y / ((x \ 1) \ 1))) = (y \ (y / x)) * x. [para(2775(a,1),11904(a,1,2))]. given #10930 (H,wt=39): 11868 (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(4482(a,1),4575(a,1,1,2))]. given #10931 (H,wt=39): 11886 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(7886(a,1),9509(a,2,1))]. given #10932 (H,wt=35): 11907 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(236,a,8576,a(flip),b,11886,a)]. given #10933 (H,wt=39): 11899 (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(5260(a,1),10586(a,1,1,2))]. given #10934 (H,wt=39): 11900 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(10010(a,1),10964(a,1,2,1,1))]. given #10935 (H,wt=23): 11909 K(x,T((y * (x \ z)) \ u,w)) = K(x,T((y * z) \ (u * x),w)). [hyper(236,a,10963,a(flip),b,11900,a(flip))]. given #10936 (H,wt=23): 11910 K(x,T((y * z) \ (u * x),y * z)) = K(x,u / (y * (x \ z))). [hyper(9447,a,11909,a),flip(a)]. given #10937 (H,wt=19): 11911 K(x,(y * x) / (z * u)) = K(x,y / (z * (x \ u))). [hyper(8187,a,11910,a)]. given #10938 (H,wt=19): 11912 K(x,y / (z * (x \ u))) = K(x,((z * u) / y) \ x). [hyper(9731,a,11911,a),flip(a)]. given #10939 (H,wt=28): 11913 R(K(x,((y * z) / (u / w)) \ x),w \ u,w) = K(x,u / ((y * (x \ z)) * w)). [para(11912(a,1),10687(a,1,1))]. given #10940 (H,wt=23): 11914 K(x,y / ((x \ (z * u)) * w)) = K(x,y / ((z * (x \ u)) * w)). [hyper(236,a,10764,a(flip),b,11913,a(flip)),flip(a)]. given #10941 (H,wt=23): 11915 K(x,y / ((z * (x \ u)) * w)) = K(x,(((z * u) * w) / y) \ x). [hyper(11034,a,11914,a),flip(a)]. given #10942 (H,wt=22): 11916 K(x,(((y * z) * u) / (z * u)) \ x) = R(K(x,y \ x),z,u). [hyper(236,a,6900,a(flip),b,11915,a(flip))]. given #10943 (H,wt=17): 11917 R(K(x,y \ x),z,u) = K(x,R(y,z,u) \ x). [para(30(a,2),11916(a,1,2,1)),flip(a)]. given #10944 (H,wt=17): 11919 K(x,R(y \ x,z,u) \ x) = R(K(x,y),z,u). [para(5305(a,1),11917(a,1,1)),flip(a)]. given #10945 (H,wt=19): 11920 K(x,R(y \ 1,z,u) \ x) = R(K(x,x * y),z,u). [para(5636(a,1),11917(a,1,1)),flip(a)]. given #10946 (H,wt=19): 11922 K(x,R(1 / y,z,u) \ x) = R(K(x,x * y),z,u). [hyper(236,a,5490,a,b,11920,a(flip)),flip(a)]. given #10947 (H,wt=21): 11923 T(x,R(y \ 1,z,u) \ x) = x * R(K(x,x * y),z,u). [para(11920(a,1),4887(a,2,2))]. given #10948 (H,wt=27): 11921 R(K(x,R(y \ x,z,u) \ x),w,v5) = K(x,R(R(x / y,z,u),w,v5) \ x). [para(11167(a,1),11917(a,1,1))]. given #10949 (H,wt=23): 11924 K(x,R(R(x / y,z,u),w,v5) \ x) = R(R(K(x,y),z,u),w,v5). [para(11919(a,1),11921(a,1,1)),flip(a)]. given #10950 (H,wt=29): 11918 R(K(x,R(1 / y,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(490(a,1),11917(a,2,2,1))]. given #10951 (H,wt=29): 11925 R(K(x,R(y \ 1,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(5490(a,1),11918(a,1,1))]. given #10952 (H,wt=39): 11906 ((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(4590,a,11868,a)]. given #10953 (H,wt=26): 11926 L(a(x,y,z),x * (y * z),K(u \ 1,u)) = a(x,y,z * K(u \ 1,u)). [hyper(4710,a,11906,a),flip(a)]. given #10954 (H,wt=15): 11927 a(x,y,z * K(u \ 1,u)) = a(x,y,z). [hyper(3613,a,11926,a)]. given #10955 (H,wt=13): 11929 a(x,y,(z \ 1) \ 1) = a(x,y,z). [para(1377(a,1),11927(a,1,3)),flip(a)]. given #10956 (H,wt=12): 11933 K(x,a(y,z \ 1,z) \ 1) = 1. [para(11929(a,1),10422(a,1,2,1))]. given #10957 (H,wt=13): 11930 a(x,y,1 / z) = a(x,y,z \ 1). [para(1434(a,1),11927(a,1,3)),flip(a)]. given #10958 (H,wt=15): 11931 a(x,y,K(z,z \ 1) * u) = a(x,y,u). [para(2857(a,1),11927(a,1,3)),flip(a)]. given #10959 (H,wt=17): 11932 a(x,y,(1 / z) \ u) = a(x,y,(z \ 1) \ u). [para(2949(a,1),11927(a,1,3))]. given #10960 (H,wt=19): 11934 T(a(x,y \ 1,y) \ 1,z) = a(x,y \ 1,y) \ 1. [para(11933(a,1),4944(a,1,1,2))]. given #10961 (H,wt=21): 11936 a(x,y,z * (u * (1 / w))) = a(x,y,z * (u * (w \ 1))). [para(4585(a,1),11931(a,1,3))]. given #10962 (H,wt=28): 11935 ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,u). [hyper(236,a,4713,a,b,11931,a(flip)),flip(a)]. given #10963 (H,wt=28): 11938 ((x * (y * (z * K(u,u \ 1)))) \ ((x * y) * z)) * K(u,u \ 1) = a(x,y,z). [para(2500(a,1),11935(a,1,1,1,2,2))]. given #10964 (H,wt=39): 11908 ((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(8886(a,1),11899(a,1,1))]. given #10965 (H,wt=40): 4082 ((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(4078(a,1),1887(a,1,1,2,1))]. given #10966 (H,wt=32): 11939 R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = ((x / y) * (y / x)) * ((x / y) \ 1). [para(4152(a,1),4082(a,1,1,2)),flip(a)]. given #10967 (H,wt=22): 11940 R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = y / x. [hyper(236,a,1878,a(flip),b,11939,a)]. given #10968 (H,wt=18): 11941 R(1 / (x / y),x / y,x * (y / x)) = y / x. [para(4078(a,1),11940(a,1,3))]. given #10969 (H,wt=30): 11942 ((x / y) \ (1 / (y / x))) * R(1 / (y / x),y / x,y * (x / y)) = 1 / (y / x). [para(11941(a,1),6859(a,1,1,1))]. given #10970 (H,wt=19): 11943 ((x / y) \ (1 / (y / x))) * (x / y) = 1 / (y / x). [para(11941(a,1),11942(a,1,2))]. given #10971 (H,wt=17): 11944 T(x / y,(x / y) \ (1 / (y / x))) = x / y. [hyper(268,a,11943,a)]. given #10972 (H,wt=17): 11945 T(x / y,(x / y) \ ((y / x) \ 1)) = x / y. [hyper(236,a,4597,a(flip),b,11944,a(flip)),flip(a)]. given #10973 (H,wt=19): 11946 ((x / y) \ ((y / x) \ 1)) * (x / y) = (y / x) \ 1. [para(11945(a,1),165(a,1,2))]. given #10974 (H,wt=40): 4301 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(2927(a,1),4077(a,2,2))]. given #10975 (H,wt=36): 11947 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(65(a,1),4301(a,1,1,2))]. given #10976 (H,wt=36): 11948 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),11947(a,1,1))]. given #10977 (H,wt=35): 11949 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),(1 / x) \ 1)) = L(y,x,x \ 1) \ (x * y). [para(2924(a,1),11948(a,1,1))]. given #10978 (H,wt=31): 11950 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),x)) = L(y,x,x \ 1) \ (x * y). [para(65(a,1),11949(a,1,2,2,2))]. given #10979 (H,wt=31): 11951 ((1 / x) * (y * x)) \ ((1 / x) \ L(T(y,x),x,x \ 1)) = L(y,x,x \ 1) \ (x * y). [para(40(a,2),11950(a,1,2,2))]. given #10980 (H,wt=30): 11952 ((1 / x) * (y * x)) \ ((1 / x) \ ((1 / x) * (y * x))) = L(y,x,x \ 1) \ (x * y). [para(2924(a,1),11951(a,1,2,2))]. given #10981 (H,wt=22): 11953 ((1 / x) * (y * x)) \ (y * x) = L(y,x,x \ 1) \ (x * y). [para(13(a,1),11952(a,1,2))]. given #10982 (H,wt=25): 11955 1 / R(T(x,y),x \ 1,y * x) = (L(y,x,x \ 1) \ (x * y)) \ 1. [para(11953(a,1),7078(a,1,1)),flip(a)]. given #10983 (H,wt=25): 11956 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = R(T(y,x),y \ 1,x * y). [para(11955(a,1),65(a,1,1))]. given #10984 (H,wt=22): 11957 ((x \ 1) * (x * y)) \ (x * y) = R(T(x,y),x \ 1,y * x). [hyper(236,a,3084,a(flip),b,11956,a(flip)),flip(a)]. given #10985 (H,wt=40): 4314 ((x \ 1) / L(x \ 1,x,y)) * T(z,(x * ((y * x) \ y)) \ 1) = z * ((x \ 1) / ((x * ((y * x) \ y)) * (x \ 1))). [para(1055(a,1),4191(a,1,1,2))]. given #10986 (H,wt=40): 8986 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(8683(a,1),450(a,1,1,1))]. given #10987 (H,wt=40): 9399 (K(x,y / z) * K(K(x,z \ y),u)) / T(K(x,z \ y),u) = R(K(x,K(z,y)),K(x,z \ y),K(K(x,z \ y),u)). [para(9379(a,1),4955(a,1,1,1))]. given #10988 (H,wt=40): 9461 (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(4661(a,2),9184(a,2,2))]. given #10989 (H,wt=40): 9682 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)). [hyper(394,a,9485,a(flip),b,103,a),flip(a)]. given #10990 (H,wt=35): 11961 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(6214(a,1),9682(a,1,1)),flip(a)]. given #10991 (H,wt=30): 11962 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(236,a,5353,a(flip),b,11961,a)]. given #10992 (H,wt=28): 11964 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(236,a,4906,a(flip),b,11962,a)]. given #10993 (H,wt=23): 11965 T(x * K(y,z),L(T(y,x),u,w)) = T(x,L(y,u,w)) * K(y,z). [para(6214(a,1),11964(a,1,2))]. given #10994 (H,wt=21): 11966 T(x * K(y,z),L(y,u,w)) = T(x,L(y,u,w)) * K(y,z). [hyper(236,a,7594,a(flip),b,11965,a(flip)),flip(a)]. given #10995 (H,wt=40): 11608 K(x,L(T(((y \ z) \ 1) \ y,z * (y / z)),z * (y / z),u)) = K(x,(u * ((y \ z) \ 1)) \ (u * (z * (y / z)))). [para(6546(a,1),11483(a,1,2,1,2)),flip(a)]. given #10996 (H,wt=40): 11958 (L(x \ 1,x,y) \ (x \ 1)) * T(z,(x * ((y * x) \ y)) \ 1) = z * ((x \ 1) / ((x * ((y * x) \ y)) * (x \ 1))). [para(6062(a,1),4314(a,1,1))]. given #10997 (H,wt=40): 11959 (K(x,y / z) * K(x,K(u,z \ y))) / T(K(x,z \ y),u) = R(K(x,K(z,y)),K(x,z \ y),K(K(x,z \ y),u)). [para(7935(a,1),9399(a,1,1,2))]. given #10998 (H,wt=36): 11969 R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) / T(K(x,y \ z),u). [para(8042(a,1),11959(a,1,1)),flip(a)]. given #10999 (H,wt=36): 11970 R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) / K(x,T(y \ z,u)). [para(7256(a,2),11969(a,2,2))]. given #11000 (H,wt=36): 11971 R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) * K(y \ z,T(x,u)). [hyper(236,a,7558,a(flip),b,11970,a)]. given #11001 (H,wt=36): 11972 R(K(x,K(y,z)),K(x,z \ y),K(K(x,z \ y),u)) = K(x,T(y / z,T(u,z))) * K(z \ y,T(x,u)). [para(7937(a,1),11971(a,1,1))]. given #11002 (H,wt=23): 11973 K(x,T(y / z,T(u,z))) * K(z \ y,T(x,u)) = K(x,K(y,z)). [hyper(236,a,6350,a(flip),b,11972,a(flip))]. given #11003 (H,wt=40): 11960 (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(5260(a,1),9461(a,1,1,2,2))]. given #11004 (H,wt=36): 11975 (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(5192(a,1),11960(a,1,1,2))]. given #11005 (H,wt=32): 11976 (x * (K(y,z) * u)) * K(z,L(y,y \ u,x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(10620(a,1),11975(a,1,2))]. given #11006 (H,wt=30): 11977 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(8971(a,1),11976(a,1,2))]. given #11007 (H,wt=30): 11979 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(y,z) * (u / y)) * K(z,y)) * y). [para(5260(a,1),11977(a,2,2,1,1))]. given #11008 (H,wt=26): 11980 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (T(u / y,K(y,z)) * y). [para(7986(a,1),11979(a,2,2,1))]. given #11009 (H,wt=26): 11981 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T((u / y) * y,K(y,z)). [para(7162(a,2),11980(a,2,2))]. given #11010 (H,wt=22): 11982 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T(u,K(y,z)). [para(16(a,1),11981(a,2,2,1))]. given #11011 (H,wt=40): 11968 (x \ (L(1 / x,x,y) \ 1)) * T(z,(x * ((y * x) \ y)) \ 1) = z * ((x \ 1) / ((x * ((y * x) \ y)) * (x \ 1))). [para(6158(a,1),11958(a,1,1))]. given #11012 (H,wt=41): 4667 ((x * ((y * x) \ y)) \ 1) * T(((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)),z) = T(x,z) / (x * ((y * x) \ y)). [para(1464(a,1),4633(a,2,1,1))]. given #11013 (H,wt=41): 6702 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(6701(a,1),721(a,1,2,1)),flip(a)]. given #11014 (H,wt=33): 11984 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),6702(a,2,2,1,2))]. given #11015 (H,wt=31): 11985 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(236,a,181,a(flip),b,11984,a)]. given #11016 (H,wt=25): 11986 K(x,y) * (L(K(x,z),u,w) * (K(x,y) \ v5)) = L(K(x,z),u,w) * v5. [para(181(a,1),11985(a,1,2))]. given #11017 (H,wt=25): 11987 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * v5)) = L(K(x,z),u,w) * v5. [para(5260(a,1),11986(a,1,2,2))]. given #11018 (H,wt=25): 11988 L(K(x,y),z,u) * (K(w,x) * v5) = K(w,x) * (L(K(x,y),z,u) * v5). [hyper(5285,a,11987,a),flip(a)]. given #11019 (H,wt=21): 11991 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(y,x)) * w. [hyper(236,a,10185,a(flip),b,11988,a)]. given #11020 (H,wt=17): 11993 a(x,y,K(z,u)) \ w = a(x,y,K(u,z)) * w. [hyper(236,a,10228,a(flip),b,11991,a(flip)),flip(a)]. given #11021 (H,wt=17): 11994 x / (a(y,z,K(u,w)) * x) = a(y,z,K(w,u)). [hyper(428,a,11993,a)]. given #11022 (H,wt=17): 11995 a(x,y,K(z,u)) * (a(x,y,K(u,z)) * w) = w. [hyper(306,a,11993,a),flip(a)]. given #11023 (H,wt=20): 11997 a(x,y,K(z,u)) * (a(x,y,K(u,z)) * w) != v5 | v5 = w. [para(11993(a,1),216(a,1,2))]. given #11024 (H,wt=20): 11998 x / (a(y,z,K(u,w)) * x) != v5 | a(y,z,K(w,u)) = v5. [para(11993(a,1),294(a,1,2)),flip(b)]. given #11025 (H,wt=20): 11999 a(x,y,K(z,u)) * w != v5 | a(x,y,K(u,z)) * v5 = w. [para(11994(a,1),81(a,1,1)),flip(b)]. given #11026 (H,wt=20): 12000 a(x,y,K(z,u)) * w != v5 | a(x,y,K(u,z)) \ w = v5. [para(14(a,1),11997(a,1,2)),flip(b)]. given #11027 (H,wt=21): 11996 a(x,y,K(z,u)) \ K(w,u) = K(w,u) * a(x,y,K(u,z)). [hyper(236,a,10177,a,b,11993,a)]. given #11028 (H,wt=23): 12002 a(x,y,K(z * u,z)) \ K(w,z) = K(w,z) * a(x,y,K(z,u)). [para(11742(a,2),11996(a,1,1))]. given #11029 (H,wt=15): 12003 a(x,y,K(z,z * u)) = a(x,y,K(z,u)). [hyper(17,a,11996,a(flip),b,12002,a(flip)),flip(a)]. given #11030 (H,wt=15): 12004 a(x,y,K(z,z \ u)) = a(x,y,K(z,u)). [para(14(a,1),12003(a,1,3,2)),flip(a)]. given #11031 (H,wt=15): 12005 a(x,y,K(z,u \ z)) = a(x,y,K(u,z)). [hyper(236,a,11744,a,b,12004,a(flip)),flip(a)]. given #11032 (H,wt=15): 12006 a(x,y,K(z \ u,u)) = a(x,y,K(u,z)). [para(5305(a,1),12005(a,1,3)),flip(a)]. given #11033 (H,wt=15): 12007 a(x,y,K(z \ 1,u)) = a(x,y,K(u,z)). [hyper(236,a,11745,a,b,12006,a(flip)),flip(a)]. given #11034 (H,wt=11): 12010 a(x,y,K(z,y)) != u | 1 = u. [para(12007(a,1),10198(a,1))]. given #11035 (H,wt=15): 12008 a(x,y,K(z,u \ 1)) = a(x,y,K(u,z)). [para(3247(a,1),12007(a,1,3)),flip(a)]. given #11036 (H,wt=17): 12009 a(x,y,K(z \ u,w)) = a(x,y,K(w,u \ z)). [para(6269(a,1),12007(a,1,3))]. given #11037 (H,wt=17): 12011 a(x,y,K(y \ z,u)) = a(x,z,K(u,z \ y)). [hyper(236,a,11563,a(flip),b,12009,a)]. given #11038 (H,wt=24): 12001 a(x,y,K(z,u)) \ K(w,u) != K(w,u) * v5 | a(x,y,K(u,z)) = v5. [para(11996(a,2),19(a,1))]. given #11039 (H,wt=28): 11990 K(x,y) * (L(K(y,z),u,w) * v5) != v6 | L(K(y,z),u,w) * (K(x,y) * v5) = v6. [para(11987(a,1),5271(a,1,2)),flip(b)]. given #11040 (H,wt=28): 11992 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * v5)) != v6 | L(K(x,z),u,w) * v5 = v6. [para(11988(a,2),5271(a,1,2)),flip(b)]. given #11041 (H,wt=32): 12012 a(x,y * ((y \ z) * u),K(w,(y * ((y \ z) * u)) \ z)) = a(x,z,K(L(u,y \ z,y),w)). [para(104(a,1),12011(a,1,3,1)),flip(a)]. given #11042 (H,wt=32): 12013 a(x,y * ((y \ z) * u),K(w,(y * ((y \ z) * u)) \ z)) = a(x,z,K(u,L(w,y \ z,y))). [para(11533(a,1),12012(a,2,3))]. given #11043 (H,wt=41): 8985 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(((x * (y * x)) / x) / y,T(x,y * x) \ z). [para(1174(a,1),8586(a,1,2,2,1)),flip(a)]. given #11044 (H,wt=38): 12014 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(L(x,T(y,x),x),T(x,y * x) \ z). [para(4308(a,1),8985(a,2,2,1))]. given #11045 (H,wt=38): 12015 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(L(x,T(y,x),x),T(x,x * y) \ z). [para(4255(a,1),12014(a,2,2,2,1))]. given #11046 (H,wt=33): 12016 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(x,T(x,x * y) \ z). [para(8282(a,1),12015(a,2,2))]. given #11047 (H,wt=29): 12017 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(x,x \ z). [para(7433(a,1),12016(a,2,2))]. given #11048 (H,wt=27): 12019 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = x * (z / x). [hyper(236,a,5079,a(flip),b,12017,a)]. given #11049 (H,wt=24): 12021 L(x,T(y,x),x) * (z / (((x * (y * x)) / x) / y)) = x * (z / x). [para(4308(a,1),12019(a,1,1))]. given #11050 (H,wt=21): 12022 L(x,T(y,x),x) * (z / L(x,T(y,x),x)) = x * (z / x). [para(4308(a,1),12021(a,1,2,2))]. given #11051 (H,wt=19): 12023 L(x,y,x) * (z / L(x,T(y,x),x)) = x * (z / x). [para(4307(a,1),12022(a,1,1))]. given #11052 (H,wt=17): 12024 L(x,y,x) * (z / L(x,y,x)) = x * (z / x). [para(4307(a,1),12023(a,1,2,2))]. given #11053 (H,wt=17): 12025 L(x,y,x) * ((z * x) / L(x,y,x)) = x * z. [para(15(a,1),12024(a,2,2))]. given #11054 (H,wt=15): 12026 L(x,y,x) * (z * a(x,y,x)) = x * z. [para(9114(a,1),12025(a,1,2))]. given #11055 (H,wt=15): 12027 L(x,y,x) \ (x * z) = z * a(x,y,x). [hyper(80,a,12026,a)]. given #11056 (H,wt=15): 12028 (x \ y) * a(x,z,x) = L(x,z,x) \ y. [hyper(72,a,14,a(flip),b,12026,a),flip(a)]. given #11057 (H,wt=15): 12029 x * (y / a(x,z,x)) = L(x,z,x) * y. [para(16(a,1),12026(a,1,2)),flip(a)]. given #11058 (H,wt=15): 12030 x * (L(x,y,x) \ z) = z * a(x,y,x). [hyper(236,a,1210,a(flip),b,12027,a(flip)),flip(a)]. given #11059 (H,wt=13): 12032 L(x,y,x) \ x = x \ R(x,y,x). [hyper(72,a,9044,a(flip),b,12030,a),flip(a)]. given #11060 (H,wt=15): 12031 L(x,y,x) * (x \ z) = z / a(x,y,x). [hyper(17,a,1208,a,b,12029,a),flip(a)]. given #11061 (H,wt=15): 12036 (x \ L(x,y,x)) \ 1 = x \ R(x,y,x). [hyper(236,a,6710,a,b,12032,a(flip)),flip(a)]. given #11062 (H,wt=15): 12037 (x / y) \ (x / a(y,z,y)) = L(y,z,y). [hyper(72,a,12031,a(flip),b,8356,a(flip))]. given #11063 (H,wt=19): 12033 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(x,z,x). [hyper(236,a,8671,a,b,12030,a(flip)),flip(a)]. given #11064 (H,wt=21): 12034 K(x,y) * (z * a(x,u,x)) = T(x,y) * (L(x,u,x) \ z). [para(12030(a,1),4906(a,1,2))]. given #11065 (H,wt=18): 12039 K(x,x * y) * (z * a(x,y,x)) = K(x,y) * z. [hyper(236,a,10068,a(flip),b,12034,a)]. given #11066 (H,wt=20): 12040 K(x,y) * (z * L(x,y,x)) = K(x,x * y) * (z * x). [para(9118(a,1),12039(a,1,2)),flip(a)]. given #11067 (H,wt=21): 12038 K(x,y) * (z * a(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(12033(a,1),4860(a,1,2))]. given #11068 (H,wt=23): 12035 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(T(x,y),z,T(x,y)). [para(7536(a,1),12030(a,1,2,1))]. given #11069 (H,wt=13): 12042 a(T(x,y),z,T(x,y)) = a(x,z,x). [hyper(17,a,12033,a(flip),b,12035,a(flip))]. given #11070 (H,wt=23): 12041 K(x,y) * ((z / y) * R(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(11403(a,2),12038(a,1,2))]. given #11071 (H,wt=21): 12047 R(x,y,x) * (T(x,z) \ u) = x * (L(T(x,z),y,x) \ u). [hyper(236,a,10608,a(flip),b,12041,a(flip)),flip(a)]. given #11072 (H,wt=23): 12044 ((x * y) * a(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(12042(a,1),9120(a,1,1,2))]. given #11073 (H,wt=21): 12049 (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(11408(a,1),12044(a,1,1))]. given #11074 (H,wt=19): 12051 (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,y). [hyper(236,a,7536,a(flip),b,12049,a)]. given #11075 (H,wt=24): 12045 K(T(x,y * z) * z,T(x,y * z)) = a(x,z,x) * K(z,T(x,y)). [para(12042(a,1),9075(a,1,1)),flip(a)]. given #11076 (H,wt=26): 12043 T(x,y) * (L(T(x,y),z,x) \ u) != u * w | a(T(x,y),z,T(x,y)) = w. [para(12035(a,2),19(a,1))]. given #11077 (H,wt=27): 12048 K(x,y) * (x * (L(T(x,z),u,x) \ w)) = R(T(x,y),u,x) * (T(x,z) \ w). [para(12047(a,1),7217(a,1,2))]. given #11078 (H,wt=25): 12054 R(T(x,y),z,x) * (T(x,u) \ w) = T(x,y) * (L(T(x,u),z,x) \ w). [hyper(5216,a,12048,a),flip(a)]. given #11079 (H,wt=41): 9099 (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(9097(a,1),2799(a,1,1,2,1))]. given #11080 (H,wt=39): 12055 (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(12036(a,1),9099(a,1,1,2))]. given #11081 (H,wt=39): 12056 (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(9097(a,1),12055(a,1,2,1))]. given #11082 (H,wt=39): 12057 (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(3688(a,1),12056(a,1,2,2))]. given #11083 (H,wt=32): 12058 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(2629(a,1),12057(a,1,2)),flip(a)]. given #11084 (H,wt=32): 12060 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(9097(a,1),12058(a,1,2,1))]. given #11085 (H,wt=30): 12061 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y / R(y,z,y)). [para(12036(a,1),12060(a,1,2)),flip(a)]. given #11086 (H,wt=30): 12062 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y \ L(y,z,y)). [para(9097(a,1),12061(a,2,3))]. given #11087 (H,wt=17): 12063 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = x. [hyper(236,a,11432,a(flip),b,12062,a)]. given #11088 (H,wt=24): 12065 (x * (K(T(y,z),u) * K(y * u,T(y,z)))) * (y \ L(y,u,y)) = x. [para(10403(a,2),12063(a,1,1,2))]. given #11089 (H,wt=20): 12066 K(x,T(y,z)) * K(T(y,z),y * x) = y \ L(y,x,y). [hyper(9094,a,12065,a)]. given #11090 (H,wt=20): 12067 K(x,T(y,z)) * K(y,T(y * x,z)) = y \ L(y,x,y). [hyper(8525,a,12066,a)]. given #11091 (H,wt=22): 12068 K(x,T(y,z)) * T(y,T(y * x,z)) = (y \ L(y,x,y)) * y. [para(12067(a,1),6188(a,1,1)),flip(a)]. given #11092 (H,wt=18): 12069 K(x,T(y,z)) * T(y,T(y * x,z)) = L(y,x,y). [hyper(236,a,4763,a(flip),b,12068,a)]. given #11093 (H,wt=22): 12070 K(x \ 1,T(y,z)) * T(y,T(x \ y,z)) = L(y,x \ 1,y). [para(8953(a,1),12069(a,1,2))]. given #11094 (H,wt=22): 12071 K(x \ (y \ x),z) * T(z,T(y \ z,x)) = L(z,y \ 1,z). [para(7370(a,2),12070(a,1,1))]. given #11095 (H,wt=15): 12072 L(x,y \ (z \ y),x) = L(x,z \ 1,x). [hyper(236,a,10881,a(flip),b,12071,a(flip)),flip(a)]. given #11096 (H,wt=15): 12074 L(x,(y / z) \ 1,x) = L(x,y \ z,x). [para(65(a,1),12072(a,1,2,2)),flip(a)]. given #11097 (H,wt=19): 12075 L(x,y * (y \ ((z / u) \ 1)),x) = L(x,z \ u,x). [para(14(a,2),12074(a,1,2))]. given #11098 (H,wt=41): 10341 (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(9714(a,1),10339(a,1,1,2))]. given #11099 (H,wt=31): 12076 (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(1771(a,1),10341(a,1,1))]. given #11100 (H,wt=19): 12077 (1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)) = K(x,u). [hyper(8657,a,12076,a(flip)),flip(a)]. given #11101 (H,wt=19): 12078 (1 / R(x,y,z)) * K(x,u) = K(x,u) / R(x,y,z). [para(12077(a,1),14(a,1,2))]. given #11102 (H,wt=37): 12079 (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(12078(a,1),11908(a,1,1))]. given #11103 (H,wt=35): 12080 (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(10585(a,1),12079(a,1,2))]. given #11104 (H,wt=19): 12081 (K(x,y) / R(x,z,u)) \ 1 = K(x,y) \ R(x,z,u). [hyper(1095,a,12080,a)]. given #11105 (H,wt=19): 12082 (K(x,y) / R(x,z,u)) \ 1 = K(y,x) * R(x,z,u). [hyper(236,a,5260,a(flip),b,12081,a)]. given #11106 (H,wt=29): 12083 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(236,a,8783,a,b,12082,a(flip)),flip(a)]. given #11107 (H,wt=13): 12084 K(x,R(y,z,R(y,u,w))) = K(x,y). [hyper(3187,a,12083,a),flip(a)]. given #11108 (H,wt=19): 12085 K(T(x,y),T(z,y)) = K(x,R(z,u,R(T(z,y),w,v5))). [hyper(8183,a,12084,a),flip(a)]. given #11109 (H,wt=15): 12087 K(x,R(y,z,R(T(y,u),w,v5))) = K(x,y). [hyper(8173,a,12085,a),flip(a)]. given #11110 (H,wt=29): 12089 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(12087(a,1),10371(a,1,1))]. given #11111 (H,wt=27): 12090 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(5208,a,12089,a)]. given #11112 (H,wt=23): 12092 a(T(x,y),z,R(T(x,y),u,w)) = x \ R(x,z,R(T(x,y),u,w)). [hyper(10266,a,12090,a)]. given #11113 (H,wt=26): 12093 x \ R(x,y,R(T(x,z),u,w)) != v5 | a(T(x,z),y,R(T(x,z),u,w)) = v5. [para(12090(a,1),10266(a,1))]. given #11114 (H,wt=27): 12091 K(x,y) * (y \ R(T(y,x),z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(10349(a,1),12089(a,1,2,2))]. given #11115 (H,wt=27): 12094 K(x,y) * (K(y,x) * a(y,z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(10375(a,1),12091(a,1,2))]. given #11116 (H,wt=19): 12095 x \ R(x,y,R(T(x,z),u,w)) = a(x,y,R(x,u,w)). [hyper(5271,a,12094,a)]. given #11117 (H,wt=19): 12096 a(T(x,y),z,R(T(x,y),u,w)) = a(x,z,R(x,u,w)). [hyper(12093,a,12095,a)]. given #11118 (H,wt=19): 12099 a(R(x,y,z),u,x) \ 1 = a(x,u,R(x,y,z)) \ 1. [para(12096(a,1),10281(a,1,1)),flip(a)]. given #11119 (H,wt=41): 11102 (T((x \ y) * z,y \ x) * (((x \ y) * z) \ z)) \ u = K(((x \ y) * z) \ z,(((x \ y) * z) \ z) \ z) * (z \ u). [para(6363(a,2),11060(a,2,1,1)),flip(a)]. given #11120 (H,wt=39): 12101 (T((x \ y) * z,y \ x) * (((x \ y) * z) \ z)) \ u = K(((x \ y) * z) \ z,T((x \ y) * z,z)) * (z \ u). [para(7257(a,1),11102(a,2,1))]. given #11121 (H,wt=41): 11138 L(x \ T(y,L(1 / x,x,z)),x,x \ (x * ((z * x) \ z))) = (x * ((z * x) \ z)) \ (y * ((x * ((z * x) \ z)) / x)). [para(800(a,1),11101(a,1,1,2,2))]. given #11122 (H,wt=38): 12102 L(x \ T(y,x \ 1),x,x \ (x * ((z * x) \ z))) = (x * ((z * x) \ z)) \ (y * ((x * ((z * x) \ z)) / x)). [para(6376(a,1),11138(a,1,1,2))]. given #11123 (H,wt=34): 12103 (x * ((y * x) \ y)) \ (z * ((x * ((y * x) \ y)) / x)) = L(x \ T(z,x \ 1),x,(y * x) \ y). [para(13(a,1),12102(a,1,3)),flip(a)]. given #11124 (H,wt=31): 12106 (x * ((y * x) \ y)) \ (z * L(1 / x,x,y)) = L(x \ T(z,x \ 1),x,(y * x) \ y). [para(800(a,1),12103(a,1,2,2))]. given #11125 (H,wt=33): 12107 (x * ((y * x) \ y)) \ ((z * K(x \ 1,z)) * L(1 / x,x,y)) = L(x \ z,x,(y * x) \ y). [para(4853(a,1),12106(a,2,1,2))]. given #11126 (H,wt=33): 12108 (x * ((y * x) \ y)) \ (z * (K(x \ 1,z) * L(1 / x,x,y))) = L(x \ z,x,(y * x) \ y). [para(5574(a,1),12107(a,1,2))]. given #11127 (H,wt=29): 12109 (x * ((y * x) \ y)) \ (z * L(T(1 / x,z),x,y)) = L(x \ z,x,(y * x) \ y). [para(6347(a,1),12108(a,1,2,2))]. given #11128 (H,wt=27): 12110 (x * ((y * x) \ y)) \ (L(1 / x,x,y) * z) = L(x \ z,x,(y * x) \ y). [para(181(a,1),12109(a,1,2))]. given #11129 (H,wt=42): 4013 K(((x * y) * z) \ (y * z),R(T(x,y * z),y,z)) * ((y * z) / ((x * y) * z)) = (((y * z) / ((x * y) * z)) \ 1) \ 1. [para(615(a,1),4011(a,1,1,2))]. given #11130 (H,wt=29): 12111 K(x \ 1,x) * ((y * z) / ((x * y) * z)) = (((y * z) / ((x * y) * z)) \ 1) \ 1. [para(6901(a,1),4013(a,1,1))]. given #11131 (H,wt=42): 6921 (((x * (1 / (1 / y))) \ x) \ 1) * (z / (L(1 / y,y,x) \ 1)) = z * K(1 / (1 / y),z * ((x * (1 / (1 / y))) \ x)). [para(2769(a,2),6319(a,1,2,2,1))]. given #11132 (H,wt=38): 12113 (1 / ((x * y) \ x)) * (z / (L(1 / y,y,x) \ 1)) = z * K(1 / (1 / y),z * ((x * (1 / (1 / y))) \ x)). [para(2764(a,1),6921(a,1,1))]. given #11133 (H,wt=42): 8623 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(7798(a,1),663(a,1,2))]. given #11134 (H,wt=34): 12114 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(7864(a,1),8623(a,1,1,1))]. given #11135 (H,wt=26): 12115 L((x \ y) \ y,T(x,y) \ y,(x \ y) \ y) = T(x,x * (y / T(x,y))). [para(4116(a,1),12114(a,1,1)),flip(a)]. given #11136 (H,wt=20): 12116 L((x \ y) \ y,T(x,y) \ y,(x \ y) \ y) = T(x,y). [hyper(236,a,7661,a(flip),b,12115,a)]. given #11137 (H,wt=42): 11674 (((x * (K(y,z) / z)) \ x) * (x \ (x * (K(y,z) / z)))) \ u = u / (L(T(z,y),z \ 1,x) * (x \ (x * (K(y,z) / z)))). [para(11667(a,1),7035(a,1,2,1)),flip(a)]. given #11138 (H,wt=38): 12118 (((x * (K(y,z) / z)) \ x) * (x \ (x * (K(y,z) / z)))) \ u = u / (L(T(z,y),z \ 1,x) * (K(y,z) / z)). [para(13(a,1),11674(a,2,2,2))]. given #11139 (H,wt=42): 11989 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(236,a,2683,a(flip),b,11987,a)]. given #11140 (H,wt=40): 12120 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(5093(a,1),11989(a,2,1,2,1))]. given #11141 (H,wt=36): 12121 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(10176(a,1),12120(a,2,1))]. given #11142 (H,wt=34): 12122 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(6040(a,1),12121(a,1,2,2,2,1))]. given #11143 (H,wt=26): 12123 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(11992,a,12122,a)]. given #11144 (H,wt=19): 12124 a(x,y,L(K(z,u),w,v5)) = L(a(x,y,K(z,u)),w,v5). [hyper(236,a,10943,a(flip),b,12123,a(flip)),flip(a)]. given #11145 (H,wt=19): 12125 a(x,y,K(z,L(u,w,v5))) = L(a(x,y,K(z,u)),w,v5). [para(11470(a,1),12124(a,1,3))]. given #11146 (H,wt=24): 12126 (x * y) * a(z,u,K(w,L(v5,y,x))) = x * (y * a(z,u,K(w,v5))). [para(12125(a,2),103(a,1,2))]. given #11147 (H,wt=27): 12127 (x * y) * a(z,u,K(w,L(v5,y,x))) != v6 | x * (y * a(z,u,K(w,v5))) = v6. [para(12125(a,2),219(a,1,2))]. given #11148 (H,wt=43): 9022 (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(9018(a,1),2431(a,1,1,1))]. given #11149 (H,wt=36): 12128 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(9018(a,1),9022(a,1,1,2,1,1)),flip(a)]. given #11150 (H,wt=32): 12129 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),12128(a,2,1,2,1))]. given #11151 (H,wt=25): 12131 (x * R(K(y,z),u,w)) * K(z,v5) = x * (R(K(y,z),u,w) * K(z,v5)). [para(9018(a,1),12129(a,1,1)),flip(a)]. given #11152 (H,wt=25): 12132 (x * R(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * R(K(y,z),u,w)). [para(2195(a,1),12131(a,2,2))]. given #11153 (H,wt=25): 12133 x / (K(y,z) * R(K(z,u),w,v5)) = x * (K(z,y) * R(K(u,z),w,v5)). [hyper(236,a,9923,a,b,12132,a(flip)),flip(a)]. given #11154 (H,wt=25): 12135 (x * (K(y,z) * R(K(z,u),w,v5))) * (K(z,y) * R(K(u,z),w,v5)) = x. [hyper(304,a,12133,a),flip(a)]. given #11155 (H,wt=37): 12134 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(12132(a,1),11326(a,1,1))]. given #11156 (H,wt=33): 12136 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(5265(a,1),12134(a,1,1,2))]. given #11157 (H,wt=21): 12137 x / a(K(y,z),u,u \ 1) = x * a(K(z,y),u,u \ 1). [hyper(236,a,9025,a(flip),b,12136,a(flip))]. given #11158 (H,wt=19): 12138 a(K(x,y),z,z \ 1) \ 1 = a(K(y,x),z,z \ 1). [hyper(4686,a,12137,a)]. given #11159 (H,wt=12): 12140 T(x,a(K(y,z),u,u \ 1)) = x. [para(12138(a,1),10424(a,1,2))]. given #11160 (H,wt=12): 12141 T(x,a(K(y,z),u \ 1,u)) = x. [para(11929(a,1),12140(a,1,2))]. given #11161 (H,wt=19): 12142 T(a(K(x,y),z \ 1,z),u) = a(K(x,y),z \ 1,z). [hyper(35,a,12141,a)]. given #11162 (H,wt=23): 12143 T(a(K(x,y),z \ 1,z),u) = K(x,y) \ R(K(x,y),z \ 1,z). [hyper(236,a,3606,a,b,12142,a)]. given #11163 (H,wt=27): 12144 T(K(x,y) * R(K(y,x),z \ 1,z),u) = K(y,x) \ R(K(y,x),z \ 1,z). [para(5264(a,2),12143(a,1,1))]. given #11164 (H,wt=29): 12145 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(236,a,9987,a,b,12144,a(flip)),flip(a)]. given #11165 (H,wt=33): 12146 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(236,a,7295,a,b,12145,a(flip)),flip(a)]. given #11166 (H,wt=16): 12147 K(x,K(y,R(z,u \ 1,u))) = K(x,K(z,y)). [hyper(10496,a,12146,a)]. given #11167 (H,wt=16): 12148 K(x,K(y,R(z,u,u \ 1))) = K(x,K(z,y)). [para(2813(a,1),12147(a,1,2,2))]. given #11168 (H,wt=16): 12149 K(x,K(y,R(z,u,u \ 1))) = K(x,K(y,z)). [hyper(236,a,7937,a,b,12148,a)]. given #11169 (H,wt=17): 12151 K(x,K(y,z * (u \ 1))) = K(x,K(y,z / u)). [para(482(a,1),12149(a,1,2,2))]. given #11170 (H,wt=17): 12152 K(x,K(y,z / (1 / u))) = K(x,K(y,z * u)). [para(65(a,1),12151(a,1,2,2,2)),flip(a)]. given #11171 (H,wt=17): 12153 K(x,K(y,z / (u \ 1))) = K(x,K(y,z * u)). [para(5469(a,1),12151(a,1,2)),flip(a)]. given #11172 (H,wt=17): 12154 K(x,K(y,z * (1 / u))) = K(x,K(y,z / u)). [para(5472(a,2),12151(a,1,2))]. given #11173 (H,wt=17): 12155 K(x,K(y,(1 / z) / u)) = K(x,K(y,u * z)). [hyper(9361,a,12152,a)]. given #11174 (H,wt=17): 12156 K(x,K(y,(z \ 1) / u)) = K(x,K(y,u * z)). [hyper(9361,a,12153,a)]. given #11175 (H,wt=17): 12157 K(x,K(y / (z \ 1),u)) = K(x,K(u,y * z)). [hyper(7971,a,12153,a)]. given #11176 (H,wt=17): 12159 K(x,K(y,(z \ 1) / (u / z))) = K(x,K(y,u)). [para(16(a,1),12156(a,2,2,2))]. given #11177 (H,wt=17): 12160 K(x,K(y,(z \ 1) / (u / z))) = K(y,K(x,u)). [hyper(7921,a,12159,a)]. given #11178 (H,wt=17): 12161 K(x,(T(y,z) / u) / (y / u)) = K(x,K(z,y)). [hyper(236,a,9274,a(flip),b,12160,a(flip)),flip(a)]. given #11179 (H,wt=16): 12164 R(K(x,K(y,z)),z / u,u) = K(x,K(z,y)). [para(12161(a,1),10156(a,1,1))]. given #11180 (H,wt=16): 12165 R(K(x,K(y,z)),y / u,u) = K(x,K(y,z)). [para(7937(a,1),12164(a,1,1))]. given #11181 (H,wt=16): 12167 K(x,K(y,R(z,x / u,u))) = K(z,K(x,y)). [hyper(236,a,9417,a(flip),b,12165,a(flip)),flip(a)]. given #11182 (H,wt=16): 12168 K(x,K(y,R(z,u,u \ x))) = K(z,K(x,y)). [para(62(a,1),12167(a,1,2,2,2))]. given #11183 (H,wt=17): 12163 K(x,K(y,z)) * (z / u) = T(z,K(x,y)) / u. [para(12161(a,1),9821(a,1,1))]. given #11184 (H,wt=17): 12169 K(x,K(y,z)) * (T(z,K(x,y)) / u) = z / u. [hyper(7968,a,12163,a)]. given #11185 (H,wt=17): 12170 T(x,K(y,z)) / (u \ x) = K(y,K(z,x)) * u. [hyper(536,a,12163,a),flip(a)]. given #11186 (H,wt=17): 12172 K(x,K(y,z)) * (T(x,K(z,y)) / u) = x / u. [para(7885(a,1),12169(a,1,1))]. given #11187 (H,wt=17): 12173 T(x,K(y,z)) / (u \ x) = K(x,K(y,z)) * u. [para(7923(a,1),12170(a,2,1))]. given #11188 (H,wt=17): 12174 K((T(x,y) / z) / (x / z),u) = K(x,K(y,u)). [hyper(9823,a,12172,a)]. given #11189 (H,wt=17): 12175 (K(x,K(y,z)) * u) \ T(x,K(y,z)) = u \ x. [para(12173(a,1),65(a,1,1))]. given #11190 (H,wt=14): 12177 L(x \ y,x,K(y,K(z,u))) = x \ y. [hyper(4979,a,12175,a)]. given #11191 (H,wt=12): 12178 a(K(x,K(y,z)),u,u \ x) = 1. [hyper(34,a,12177,a)]. given #11192 (H,wt=12): 12179 a(K(x * y,K(z,u)),x,y) = 1. [para(13(a,1),12178(a,1,3))]. given #11193 (H,wt=12): 12180 a(K(K(x,y),z),u,u \ z) = 1. [para(5835(a,2),12178(a,1,1))]. given #11194 (H,wt=12): 12181 a(K(x,K(y,z * u)),z,u) = 1. [para(7885(a,1),12179(a,1,1))]. given #11195 (H,wt=18): 12150 T(x,K(y,R(z,u,u \ 1))) = x * K(y,K(z,x)). [para(12148(a,1),7924(a,1,2)),flip(a)]. given #11196 (H,wt=16): 12183 T(x,K(y,R(z,u,u \ 1))) = T(x,K(z,y)). [hyper(236,a,7893,a(flip),b,12150,a)]. given #11197 (H,wt=19): 12184 T(x,K(y,T(z * (u \ 1),u))) = T(x,K(y,u \ z)). [hyper(236,a,9593,a(flip),b,12183,a(flip)),flip(a)]. given #11198 (H,wt=19): 12186 T(x,K(T(y,z),z \ u)) = T(x,K(y,u * (z \ 1))). [para(8054(a,1),12184(a,1,2)),flip(a)]. given #11199 (H,wt=17): 12187 T(x,K(y,z * (u \ 1))) = T(x,K(y,z / u)). [para(8078(a,1),12186(a,1,2)),flip(a)]. given #11200 (H,wt=15): 12189 T(x,K(y,z * (x \ 1))) = T(x,K(y,z)). [hyper(236,a,9332,a(flip),b,12187,a)]. given #11201 (H,wt=17): 12190 T(x \ 1,K(y,z * x)) = T(x \ 1,K(y,z)). [para(5469(a,1),12189(a,1,2))]. given #11202 (H,wt=21): 12188 T(T(x,y),K(y,z / u)) = T(x,T(y,(z * (u \ 1)) \ 1)). [hyper(9298,a,12187,a),flip(a)]. given #11203 (H,wt=19): 12192 T(x,T(y,(z * (u \ 1)) \ 1)) = T(x,T(y,z / u)). [hyper(7185,a,12188,a),flip(a)]. given #11204 (H,wt=17): 12193 T(x,T(y,z * (u \ 1))) = T(x,T(y,z / u)). [hyper(9329,a,12192,a)]. given #11205 (H,wt=19): 12194 T(x,T(y,z * (u \ 1))) = x * K(x,T(y,z / u)). [hyper(236,a,4887,a(flip),b,12193,a)]. given #11206 (H,wt=17): 12195 K(x,T(y,z * (u \ 1))) = K(x,T(y,z / u)). [hyper(4954,a,12194,a)]. given #11207 (H,wt=22): 12182 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,v6)) * K(w,K(v5,v6)). [hyper(236,a,7961,a,b,12180,a)]. given #11208 (H,wt=15): 12196 a(K(K(x,y),z),u,u \ z) != w | 1 = w. [para(12182(a,2),5105(a,1))]. given #11209 (H,wt=27): 12197 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(v6,K(w,v5)). [para(12168(a,1),12182(a,2,2))]. given #11210 (H,wt=27): 12198 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(7923(a,2),12197(a,2,2))]. given #11211 (H,wt=27): 12199 a(K(x,K(y,z)),u,u \ x) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(5835(a,1),12198(a,1,1))]. given #11212 (H,wt=29): 12158 a(x,y * ((1 / z) / u),K(w,K(v5,u * z))) = a(x,y,K((1 / z) / u,K(w,v5))). [para(12155(a,1),11531(a,1,3))]. given #11213 (H,wt=36): 12176 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(11319(a,1),12174(a,1,1,1,1))]. given #11214 (H,wt=31): 12200 K(K(((x \ L(x,y,z)) / u) / (u \ 1),x * w),v5) = K(x \ L(x,y,z),K(w * x,v5)). [para(5205(a,2),12176(a,1,1))]. given #11215 (H,wt=31): 12201 K(x,K(((y \ L(y,z,u)) / w) / (w \ 1),y * v5)) = K(y \ L(y,z,u),K(v5 * y,x)). [hyper(8012,a,12200,a)]. given #11216 (H,wt=29): 12202 K(x,K(y * z,((y \ L(y,u,w)) / v5) * v5)) = K(y \ L(y,u,w),K(z * y,x)). [hyper(236,a,12157,a(flip),b,12201,a(flip)),flip(a)]. given #11217 (H,wt=25): 12203 K(x \ L(x,y,z),K(u * x,w)) = K(w,K(x * u,x \ L(x,y,z))). [para(16(a,1),12202(a,1,2,2)),flip(a)]. given #11218 (H,wt=25): 12204 K(x,K(y * z,z \ L(z,u,w))) = K(x,K(z * y,z \ L(z,u,w))). [hyper(7908,a,12203,a)]. given #11219 (H,wt=28): 12205 K(x,K(y * z,y \ L(y,u,w))) != v5 | K(x,K(z * y,y \ L(y,u,w))) = v5. [para(12203(a,1),7908(a,1))]. given #11220 (H,wt=43): 9499 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(636(a,1),7872(a,1,1,2,1)),flip(a)]. given #11221 (H,wt=40): 12206 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(3069(a,1),9499(a,2,1,2))]. given #11222 (H,wt=28): 12207 K(x * ((T(y,y \ 1) * z) \ z),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(636(a,1),12206(a,1,1,2,2))]. given #11223 (H,wt=26): 12208 K(x * T((y * z) \ z,y),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(3321(a,1),12207(a,1,1,2))]. given #11224 (H,wt=24): 12209 K(x * R(y \ 1,y,z),y \ 1) = K(x * ((y * z) \ z),y \ 1). [hyper(5886,a,12208,a),flip(a)]. given #11225 (H,wt=43): 9919 K(x,T(K(y,K(z,u)) \ w,(y / K(v5,u)) * K(y,K(z,u)))) = K(x,((y / K(v5,u)) * w) / ((y / K(v5,u)) * K(y,K(z,u)))). [para(9918(a,1),8134(a,1,2,1))]. given #11226 (H,wt=43): 12191 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(12190(a,1),5017(a,1,1))]. given #11227 (H,wt=43): 12210 K(x,T(K(y,K(z,u)) * w,(y / K(v5,u)) * K(y,K(z,u)))) = K(x,((y / K(v5,u)) * w) / ((y / K(v5,u)) * K(y,K(z,u)))). [para(7964(a,1),9919(a,1,2,1))]. given #11228 (H,wt=43): 12211 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(7886(a,1),12191(a,1,2,1,2))]. given #11229 (H,wt=41): 12212 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(9238(a,1),12211(a,1,2,1,2))]. given #11230 (H,wt=41): 12213 T(x \ 1,K(y,z)) * L((x \ 1) \ K(x,K(y,x * z)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(7931(a,1),12212(a,1,2,1,2))]. given #11231 (H,wt=39): 12214 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(9199(a,1),12213(a,1,2,1,2))]. given #11232 (H,wt=39): 12215 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(4870(a,1),12214(a,1,2,1))]. given #11233 (H,wt=39): 12216 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(5828,a,12215,a)]. given #11234 (H,wt=37): 12217 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(9266(a,1),12216(a,1,1)),flip(a)]. given #11235 (H,wt=35): 12218 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(1337(a,1),12217(a,2,2))]. given #11236 (H,wt=33): 12219 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(236,a,7965,a(flip),b,12218,a)]. given #11237 (H,wt=44): 6171 ((x \ (x / y)) * x) * ((z \ L(K(y \ 1,x) \ z,K(y \ 1,x),x / y)) * z) = (x / y) * (z * K(K(y \ 1,x) \ 1,z)). [para(5151(a,2),6054(a,1,1))]. given #11238 (H,wt=44): 6628 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(1493(a,1),6612(a,2,1))]. given #11239 (H,wt=34): 12221 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),6628(a,1,1,1)),flip(a)]. given #11240 (H,wt=32): 12222 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(236,a,7264,a(flip),b,12221,a)]. given #11241 (H,wt=30): 12224 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,(R(x,y,z) * u) / w). [hyper(236,a,9194,a(flip),b,12222,a)]. given #11242 (H,wt=30): 12225 K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * (x \ w))) = K(x,(R(x,y,z) * w) / u). [hyper(7823,a,12224,a)]. given #11243 (H,wt=28): 12226 K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * w)) = K(x,(R(x,y,z) * w) / u). [hyper(236,a,9445,a(flip),b,12225,a(flip)),flip(a)]. given #11244 (H,wt=23): 12227 K(x,T((R(x,y,z) \ u) \ w,w)) = K(x,(R(x,y,z) * w) / u). [hyper(9197,a,12226,a)]. given #11245 (H,wt=21): 12228 K(x,(R(x,y,z) * u) / w) = K(x,u / (R(x,y,z) \ w)). [hyper(8189,a,12227,a),flip(a)]. given #11246 (H,wt=21): 12230 K(x,R(x,y,z) / (u / w)) = K(x,w / (R(x,y,z) \ u)). [hyper(236,a,10592,a(flip),b,12228,a(flip)),flip(a)]. given #11247 (H,wt=21): 12231 K(x,y / (R(x,z,u) \ w)) = K(x,(w / y) \ R(x,z,u)). [hyper(6481,a,12230,a),flip(a)]. given #11248 (H,wt=21): 12232 K(x,(y * R(x,z,u)) / w) = K(x,(w / y) \ R(x,z,u)). [hyper(236,a,8996,a,b,12231,a(flip)),flip(a)]. given #11249 (H,wt=31): 12233 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,(((u * y) * z) / (y * z)) \ R(x,y,z)). [hyper(236,a,11315,a,b,12232,a(flip)),flip(a)]. given #11250 (H,wt=26): 12234 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),12233(a,2,2,1))]. given #11251 (H,wt=20): 12235 K(x,R(y,z,u) \ R(x,z,u)) = K(R(x,z,u),y \ x). [hyper(236,a,9523,a(flip),b,12234,a(flip))]. given #11252 (H,wt=44): 9968 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(5279(a,1),9940(a,2,2))]. given #11253 (H,wt=44): 11820 K(x,L(T((y \ (z \ y)) * y,u * (T(1 / z,y) \ 1)),T(1 / z,y) \ 1,u)) = K(x,(u * y) / (u * (T(1 / z,y) \ 1))). [para(11817(a,1),8135(a,1,2,1,1))]. given #11254 (H,wt=44): 12220 ((x \ (x / y)) * x) * ((z \ L(K(x,y \ 1) * z,K(y \ 1,x),x / y)) * z) = (x / y) * (z * K(K(y \ 1,x) \ 1,z)). [para(5260(a,1),6171(a,1,2,1,2,1))]. given #11255 (H,wt=44): 12237 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(5260(a,1),9968(a,1,1,1))]. given #11256 (H,wt=45): 5504 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(5055(a,1),738(a,1,1))]. given #11257 (H,wt=33): 12238 ((x \ T(x * (y / (z * y)),y / (z * y))) * (z * y)) / y = K(x * (y / (z * y)),z \ 1). [hyper(236,a,6843,a(flip),b,5504,a(flip))]. given #11258 (H,wt=29): 12240 K((((x \ 1) * (y * z)) / z) \ 1,z / (y * z)) = K(x * (z / (y * z)),y \ 1). [hyper(236,a,6107,a(flip),b,12238,a(flip)),flip(a)]. given #11259 (H,wt=29): 12241 K((x \ 1) \ (y / (z * y)),((z * y) / y) \ 1) = K(x * (y / (z * y)),z \ 1). [hyper(236,a,6936,a(flip),b,12240,a(flip)),flip(a)]. given #11260 (H,wt=25): 12242 K((x \ 1) \ (y / (z * y)),z \ 1) = K(x * (y / (z * y)),z \ 1). [para(15(a,1),12241(a,1,2,1))]. given #11261 (H,wt=25): 12243 K((x \ 1) \ ((y * z) \ z),y \ 1) = K(x * (z / (y * z)),y \ 1). [hyper(236,a,8703,a(flip),b,12242,a(flip)),flip(a)]. given #11262 (H,wt=25): 12244 K((x \ 1) \ ((y * z) \ z),y \ 1) = K(x * ((y * z) \ z),y \ 1). [hyper(11598,a,12243,a(flip)),flip(a)]. given #11263 (H,wt=23): 12245 K((x \ 1) \ (y \ 1),y \ 1) = K(x * ((y * z) \ z),y \ 1). [hyper(236,a,10294,a(flip),b,12244,a(flip)),flip(a)]. given #11264 (H,wt=21): 12246 K(x * ((y * z) \ z),y \ 1) = K(x * (y \ 1),y \ 1). [hyper(8422,a,12245,a),flip(a)]. given #11265 (H,wt=19): 12248 K(x * ((y * z) \ z),y \ 1) = K(y \ x,y \ 1). [hyper(236,a,7874,a(flip),b,12246,a)]. given #11266 (H,wt=20): 12249 K(x * R(y \ 1,y,z),y \ 1) = K(y \ x,y \ 1). [hyper(236,a,12209,a,b,12248,a(flip)),flip(a)]. given #11267 (H,wt=22): 12251 T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,z / (x * z)). [para(12249(a,1),6917(a,1,1,1))]. given #11268 (H,wt=19): 12252 R(1 / x,y,z / (x * z)) = R(1 / x,y,x \ 1). [hyper(236,a,8431,a(flip),b,12251,a(flip))]. given #11269 (H,wt=23): 12254 R(1 / (x / y),z,(x / y) \ 1) = R(1 / (x / y),z,y / x). [para(16(a,1),12252(a,1,3,2)),flip(a)]. given #11270 (H,wt=45): 6529 (((x \ y) * K(z,x \ y)) \ 1) * (((x \ y) * K(z,x \ y)) * ((y * K(z,x \ y)) \ x)) = (x * ((x \ y) * K(z,x \ y))) \ x. [para(6428(a,1),2270(a,1,2,2,1))]. given #11271 (H,wt=43): 12255 ((x \ y) \ K(x \ y,z)) * (((x \ y) * K(z,x \ y)) * ((y * K(z,x \ y)) \ x)) = (x * ((x \ y) * K(z,x \ y))) \ x. [para(5113(a,1),6529(a,1,1))]. given #11272 (H,wt=43): 12256 ((x \ y) \ K(x \ y,z)) * ((x \ y) * (K(z,x \ y) * ((y * K(z,x \ y)) \ x))) = (x * ((x \ y) * K(z,x \ y))) \ x. [para(5574(a,1),12255(a,1,2))]. given #11273 (H,wt=39): 12257 ((x \ y) \ K(x \ y,z)) * ((x \ y) * (K(z,x \ y) * ((y * K(z,x \ y)) \ x))) = (y * K(z,x \ y)) \ x. [para(6428(a,1),12256(a,2,1))]. given #11274 (H,wt=45): 7705 (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(7556(a,1),4632(a,1,2,1))]. given #11275 (H,wt=45): 8778 (x \ 1) * ((K(y,z) \ u) * T((K(y,z) \ u) \ ((x \ 1) \ u),y)) = ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u). [para(7177(a,2),1413(a,2,1,2))]. given #11276 (H,wt=45): 12259 (x \ 1) * ((K(y,z) * u) * T((K(z,y) \ u) \ ((x \ 1) \ u),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(5260(a,1),8778(a,1,2,1))]. given #11277 (H,wt=45): 12260 (x \ 1) * ((K(y,z) * u) * T((K(y,z) * u) \ ((x \ 1) \ u),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(5260(a,1),12259(a,1,2,2,1,1))]. given #11278 (H,wt=45): 12261 (x \ 1) * (K(y,z) * (u * T(u \ (K(y,z) \ ((x \ 1) \ u)),z))) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(857(a,1),12260(a,1,2))]. given #11279 (H,wt=37): 12262 (x \ 1) * (y * T(y \ ((x \ 1) \ y),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,u)))) * (K(z,u) \ y). [para(9470(a,1),12261(a,1,2))]. given #11280 (H,wt=31): 12263 ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u) = K((x \ 1) \ 1,y) * u. [hyper(236,a,5163,a(flip),b,12262,a(flip))]. given #11281 (H,wt=27): 12265 ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u) = K(x,y) * u. [para(3247(a,1),12263(a,2,1))]. given #11282 (H,wt=19): 12266 (K(x,y) * K(y,z)) * (K(y,z) \ u) = K(x,y) * u. [para(6119(a,1),12265(a,1,1))]. given #11283 (H,wt=19): 12267 (K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u). [para(13(a,1),12266(a,1,2))]. given #11284 (H,wt=10): 12269 L(x,K(y,z),K(u,y)) = x. [hyper(436,a,12267,a)]. given #11285 (H,wt=12): 12268 R(K(x,y),K(y,z),u) = K(x,y). [hyper(4699,a,12267,a)]. given #11286 (H,wt=18): 12275 K(x * y,x) * (K(x,y) * z) = a(x,y,x) * z. [para(9039(a,1),12267(a,1,1)),flip(a)]. given #11287 (H,wt=18): 12280 a(x,y,x) * (K(x,x * y) * z) = K(x,y) * z. [hyper(10504,a,12275,a),flip(a)]. given #11288 (H,wt=18): 12281 a(x,y,x) * (K(y,x) * z) = K(x * y,x) * z. [para(5268(a,1),12275(a,1,2)),flip(a)]. given #11289 (H,wt=18): 12283 K(x,y) * (K(y,y * x) * z) = a(y,x,y) \ z. [hyper(72,a,5268,a(flip),b,12281,a),flip(a)]. given #11290 (H,wt=18): 12284 K(x,y) * (a(x,y,x) \ z) = K(x,x * y) * z. [hyper(5285,a,12283,a)]. given #11291 (H,wt=13): 12288 a(x,y,x) \ (z * a(x,y,x)) = z. [hyper(17,a,12039,a(flip),b,12284,a)]. given #11292 (H,wt=8): 12291 T(x,a(y,z,y)) = x. [hyper(284,a,12288,a)]. given #11293 (H,wt=8): 12296 K(x,a(y,z,y)) = 1. [hyper(36,a,12291,a)]. given #11294 (H,wt=10): 12295 T(x,a(y,z,y)) = 1 * x. [hyper(319,a,12291,a),flip(a)]. given #11295 (H,wt=10): 12300 x * K(y,a(z,u,z)) = x. [para(12296(a,2),12(a,1,2))]. given #11296 (H,wt=11): 12297 T(a(x,y,x),z) = a(x,y,x). [hyper(35,a,12291,a)]. given #11297 (H,wt=11): 12301 T(x,a(y,z,y)) != u | u = x. [para(12295(a,2),75(a,1))]. given #11298 (H,wt=13): 12289 (a(x,y,x) \ z) * a(x,y,x) = z. [hyper(17,a,12039,a,b,12284,a(flip)),flip(a)]. given #11299 (H,wt=13): 12292 a(x,y,x) * z = z * a(x,y,x). [para(12288(a,1),14(a,1,2))]. given #11300 (H,wt=13): 12293 x / a(y,z,y) = a(y,z,y) \ x. [para(16(a,1),12288(a,1,2)),flip(a)]. given #11301 (H,wt=13): 12304 T(a(x,y,x),z) = x \ R(x,y,x). [hyper(236,a,9038,a,b,12297,a)]. given #11302 (H,wt=15): 12287 a(x,y,x) \ (z * x) = z * L(x,y,x). [hyper(17,a,12040,a,b,12284,a)]. given #11303 (H,wt=15): 12294 a(x,y,x) \ (L(x,y,x) \ z) = x \ z. [para(12028(a,1),12288(a,1,2))]. given #11304 (H,wt=15): 12309 x * (a(x,y,x) \ z) = L(x,y,x) * z. [para(12289(a,1),12026(a,1,2)),flip(a)]. given #11305 (H,wt=15): 12310 a(x,y,x) * (x \ z) = L(x,y,x) \ z. [hyper(236,a,12028,a(flip),b,12292,a)]. given #11306 (H,wt=15): 12311 a(x,y,x) * (z * x) = z * R(x,y,x). [hyper(236,a,11408,a(flip),b,12292,a)]. given #11307 (H,wt=15): 12312 a(x,y,x) * (z / x) = z / L(x,y,x). [hyper(236,a,9113,a(flip),b,12292,a)]. given #11308 (H,wt=15): 12313 (x * R(y,z,y)) / (x * y) = a(y,z,y). [hyper(74,a,11408,a(flip),b,12292,a)]. given #11309 (H,wt=12): 12334 R(a(x,y,x),x,z) = a(x,y,x). [hyper(236,a,10770,a(flip),b,12313,a(flip)),flip(a)]. given #11310 (H,wt=15): 12319 x * (y \ R(y,z,y)) = a(y,z,y) * x. [para(9038(a,2),12292(a,2,2)),flip(a)]. given #11311 (H,wt=15): 12320 x * (a(x,y,x) * z) = R(x,y,x) * z. [para(12292(a,2),11413(a,1,2))]. given #11312 (H,wt=15): 12321 (a(x,y,x) * z) * x = z * R(x,y,x). [para(12292(a,2),11419(a,1,1))]. given #11313 (H,wt=15): 12323 L(x,y,x) * (x \ z) = a(x,y,x) \ z. [hyper(236,a,12031,a,b,12293,a(flip)),flip(a)]. given #11314 (H,wt=14): 12345 a(x,y,x) \ x != z | L(x,y,x) = z. [para(12323(a,1),150(a,1))]. given #11315 (H,wt=15): 12324 x * (y \ L(y,z,y)) = a(y,z,y) \ x. [hyper(236,a,11426,a,b,12293,a(flip)),flip(a)]. given #11316 (H,wt=15): 12325 (x / R(y,z,y)) * y = a(y,z,y) \ x. [hyper(236,a,11416,a,b,12293,a(flip)),flip(a)]. given #11317 (H,wt=15): 12327 (x / y) \ (a(y,z,y) \ x) = L(y,z,y). [para(12293(a,1),12037(a,1,2))]. given #11318 (H,wt=15): 12339 a(x,y,x) \ (x \ z) = R(x,y,x) \ z. [hyper(546,a,12320,a),flip(a)]. given #11319 (H,wt=15): 12340 x \ (R(x,y,x) * z) = a(x,y,x) * z. [hyper(80,a,12320,a)]. given #11320 (H,wt=15): 12341 a(x,y,x) * (R(x,y,x) \ z) = x \ z. [hyper(72,a,14,a(flip),b,12320,a),flip(a)]. given #11321 (H,wt=15): 12342 a(x,y,x) * (x * z) = R(x,y,x) * z. [hyper(17,a,1497,a(flip),b,12320,a)]. given #11322 (H,wt=15): 12348 x * (R(x,y,x) \ z) = a(x,y,x) \ z. [hyper(236,a,8358,a(flip),b,12325,a(flip)),flip(a)]. given #11323 (H,wt=16): 12298 a(x,y,x) * z != z * u | a(x,y,x) = u. [para(12291(a,1),170(a,1,2)),flip(b)]. given #11324 (H,wt=16): 12299 x / a(y,z,y) != u | a(y,z,y) \ x = u. [para(12291(a,1),280(a,1))]. given #11325 (H,wt=16): 12305 x * a(y,z,y) != u | a(y,z,y) * x = u. [para(12297(a,1),220(a,1,2))]. given #11326 (H,wt=16): 12308 a(x,y,x) \ z != u | z / a(x,y,x) = u. [para(121(a,1),12301(a,1)),flip(b)]. given #11327 (H,wt=16): 12330 a(x,x \ y,x) \ y = (x \ y) * T(x,y). [hyper(17,a,719,a,b,12309,a)]. given #11328 (H,wt=18): 12286 K(x,y) * (K(y,x * y) * z) = a(y,x,y) \ z. [para(6605(a,2),12283(a,1,2,1))]. given #11329 (H,wt=18): 12315 x * a(y,z,y) != x * u | T(a(y,z,y),x) = u. [para(12292(a,1),169(a,2)),flip(a)]. given #11330 (H,wt=18): 12332 (x * R(y,z,y)) / (x * y) != u | a(y,z,y) = u. [para(12311(a,1),296(a,1,1)),flip(b)]. given #11331 (H,wt=18): 12335 a(x,y,x) * (z * x) != u | z * R(x,y,x) = u. [para(12313(a,1),221(a,1,1)),flip(b)]. given #11332 (H,wt=18): 12346 a(x,y,x) \ x != z * u | z \ L(x,y,x) = u. [para(12324(a,1),367(a,1))]. given #11333 (H,wt=18): 12347 (x * K(y,z)) * K(z,z * y) = a(z,y,z) \ x. [hyper(236,a,8777,a,b,12325,a(flip)),flip(a)]. given #11334 (H,wt=18): 12352 x * (y \ L(y,z,y)) != u | a(y,z,y) \ x = u. [para(11426(a,2),12299(a,1))]. given #11335 (H,wt=18): 12354 (x / K(y,z)) * K(y,y * z) = a(y,z,y) \ x. [para(7547(a,2),12347(a,1,1))]. given #11336 (H,wt=19): 12270 (K(x,y) * K(y,z)) * u = K(y,z) * (K(x,y) * u). [hyper(236,a,10510,a,b,12267,a)]. given #11337 (H,wt=19): 12271 (K(x,y) * z) / (K(x,u) * z) = K(u,x) * K(x,y). [hyper(74,a,10503,a(flip),b,12267,a)]. given #11338 (H,wt=19): 12276 (K(x,y) * K(y,z)) \ u = K(z,y) * (K(y,x) * u). [hyper(236,a,5953,a(flip),b,12269,a(flip)),flip(a)]. given #11339 (H,wt=19): 12302 R(a(x,y,x),z,u) * w = w * R(a(x,y,x),z,u). [para(12300(a,1),4938(a,1,1,1))]. given #11340 (H,wt=11): 12359 T(x,R(a(y,z,y),u,w)) = x. [hyper(172,a,12302,a)]. given #11341 (H,wt=19): 12355 (K(x,y) * K(z,x)) * u = K(x,y) * (K(z,x) * u). [para(2192(a,2),12270(a,1,1))]. given #11342 (H,wt=10): 12360 L(x,K(y,z),K(z,u)) = x. [hyper(436,a,12355,a)]. given #11343 (H,wt=12): 12367 L(x,K(y,T(z,u)),K(z,w)) = x. [para(7260(a,1),12360(a,1,2))]. given #11344 (H,wt=13): 12366 L(x,L(K(y,z),u,w),K(z,v5)) = x. [para(5909(a,1),12360(a,1,2))]. given #11345 (H,wt=18): 12364 L(T(x / (x / y),y \ x),K(z,u),K(u,w)) = y. [hyper(236,a,4202,a(flip),b,12360,a)]. given #11346 (H,wt=18): 12371 T(x,R(y / (y / z),u,z)) = T(x,y / (y / z)). [para(12364(a,1),8790(a,1,2,3))]. given #11347 (H,wt=19): 12357 (K(x,y) * K(y,z)) \ u = K(y,x) * (K(z,y) * u). [hyper(236,a,10510,a,b,12276,a)]. given #11348 (H,wt=19): 12358 (K(x,y) * K(z,x)) \ u = K(y,x) * (K(x,z) * u). [para(2192(a,2),12276(a,1,1))]. given #11349 (H,wt=19): 12365 (K(x,y) * K(z,x)) \ u = K(x,z) * (K(y,x) * u). [hyper(236,a,5953,a(flip),b,12360,a(flip)),flip(a)]. given #11350 (H,wt=19): 12373 (K(x,y) * K(y,z)) \ u = (K(y,x) * K(z,y)) * u. [hyper(236,a,12355,a,b,12357,a)]. given #11351 (H,wt=20): 12274 K(x,y) * (K(y,x * y) * z) = (y \ L(y,x,y)) * z. [para(6608(a,1),12267(a,1,1)),flip(a)]. given #11352 (H,wt=15): 12376 (x \ L(x,y,x)) * z = a(x,y,x) \ z. [hyper(236,a,12286,a(flip),b,12274,a(flip))]. given #11353 (H,wt=20): 12282 a(x,x \ y,x) * (K(x,y) * z) = K(x,x \ y) * z. [para(14(a,1),12280(a,1,2,1,2))]. given #11354 (H,wt=20): 12303 (x * (y * a(z,u,z))) / (x * y) = L(a(z,u,z),y,x). [para(12300(a,1),5041(a,1,1)),flip(a)]. given #11355 (H,wt=20): 12306 x * a(y,z,y) != u * w | u \ (a(y,z,y) * x) = w. [para(12297(a,1),549(a,1,2))]. given #11356 (H,wt=20): 12316 a(x,y,x) \ (z * a(x,y,x)) != u * w | z / w = u. [para(12292(a,1),428(a,1,2))]. given #11357 (H,wt=21): 12285 K(x,x * y) * z != K(x,y) * (a(x,y,x) \ u) | z = u. [para(12283(a,1),5274(a,1,2)),flip(a)]. given #11358 (H,wt=21): 12290 K(x,x * y) * z != K(x,y) * u | a(x,y,x) \ z = u. [para(12284(a,1),19(a,1))]. given #11359 (H,wt=21): 12331 (x * R(x \ y,z,x \ y)) / y = a(x \ y,z,x \ y). [hyper(74,a,12311,a(flip),b,88,a(flip))]. given #11360 (H,wt=21): 12333 (x \ R(x,y,z)) * R(x,u,x) = a(x,u,x) * R(x,y,z). [para(3690(a,1),12311(a,1,2)),flip(a)]. given #11361 (H,wt=21): 12361 x \ (K(y,z) * (K(u,y) * x)) = T(K(y,z) * K(u,y),x). [hyper(394,a,xx,b,12355,a),flip(a)]. given #11362 (H,wt=21): 12380 K(x,x * y) * z != K(x,y) * u | a(x,y,x) * u = z. [para(13(a,1),12285(a,2,2)),flip(b)]. given #11363 (H,wt=21): 12381 T(K(x,y),z) * T(K(y,u),z) = T(K(y,u) * K(x,y),z). [hyper(236,a,10052,a(flip),b,12361,a(flip)),flip(a)]. given #11364 (H,wt=22): 12277 (K(x,y) * K(y,z)) * u != w | K(x,y) * (K(y,z) * u) = w. [para(12269(a,1),219(a,1,2))]. given #11365 (H,wt=22): 12322 a(x,y,x) * (z * x) != u * w | (z * R(x,y,x)) / w = u. [para(12292(a,2),11417(a,1))]. given #11366 (H,wt=22): 12343 R(x,y,x) * z != u * w | u \ (x * (a(x,y,x) * z)) = w. [para(12320(a,1),545(a,1))]. given #11367 (H,wt=22): 12344 R(T(a(x,y,x),z * x),z,x) = x \ (z \ (z * R(x,y,x))). [para(12321(a,1),11422(a,1,2,2)),flip(a)]. given #11368 (H,wt=18): 12385 R(T(a(x,y,x),z * x),z,x) = x \ R(x,y,x). [para(13(a,1),12344(a,2,2))]. given #11369 (H,wt=16): 12386 R(T(a(x,y,x),z * x),z,x) = a(x,y,x). [hyper(236,a,9038,a(flip),b,12385,a)]. given #11370 (H,wt=12): 12388 R(a(x,y,x),z,x) = a(x,y,x). [para(12297(a,1),12386(a,1,1))]. given #11371 (H,wt=22): 12374 (K(x,y) * K(z,x)) \ u != w | K(y,x) * (K(x,z) * u) = w. [para(12365(a,2),10518(a,1))]. given #11372 (H,wt=22): 12383 T(K(x,y) * K(y * R(x,z,u),x),w) = a(x,y,R(x,z,u)). [hyper(236,a,10436,a(flip),b,12381,a(flip))]. given #11373 (H,wt=22): 12384 K(x,K(y,z)) * u != w | K(y,x) * (K(x,T(y,z)) * u) = w. [para(8022(a,1),12277(a,1,1))]. given #11374 (H,wt=23): 12328 T(a(x / y,z,x / y),u) = (x / y) \ R(x / y,z,y \ x). [para(8294(a,1),12304(a,2,2))]. given #11375 (H,wt=23): 12368 K(x,y) * T(z,K(y,u) * K(x,y)) = T(z * K(x,y),K(y,u)). [para(12360(a,1),9087(a,1,1,1)),flip(a)]. given #11376 (H,wt=23): 12369 (K(x,y) * K(z,T(x,u))) * w = K(x,y) * (K(z,T(x,u)) * w). [para(12367(a,1),103(a,1,2))]. given #11377 (H,wt=23): 12392 K(x,y) * T(z,K(x,y) * K(y,u)) = T(z * K(x,y),K(y,u)). [para(2192(a,1),12368(a,1,2,2))]. given #11378 (H,wt=24): 12317 (x * y) \ ((x * a(z,u,z)) * y) = R(T(a(z,u,z),x * y),x,y). [para(12292(a,1),615(a,1,2,1))]. given #11379 (H,wt=20): 12394 (x * y) \ ((x * a(z,u,z)) * y) = R(a(z,u,z),x,y). [para(12297(a,1),12317(a,2,1))]. given #11380 (H,wt=21): 12395 (x * y) \ ((T(z * x,z) / z) * y) = R(a(z,x,z),x,y). [para(9047(a,2),12394(a,1,2,1))]. given #11381 (H,wt=19): 12397 L(a(x,T(y,z),x),T(y,z),z) = R(a(x,y,x),y,z). [hyper(236,a,10090,a,b,12395,a(flip)),flip(a)]. given #11382 (H,wt=24): 12353 (x * R(x \ y,z,x \ y)) / y != u | a(x \ y,z,x \ y) = u. [para(14(a,1),12332(a,1,2))]. given #11383 (H,wt=24): 12362 x \ (K(y,z) * (K(u,y) * x)) != w | T(K(y,z) * K(u,y),x) = w. [para(12355(a,1),284(a,1,2))]. given #11384 (H,wt=24): 12363 (K(x,y) * z) / (K(y,u) * (K(x,y) * z)) = R(K(u,y),K(x,y),z). [para(12355(a,1),6803(a,1,2))]. given #11385 (H,wt=12): 12400 R(K(x,y),K(z,y),u) = K(x,y). [hyper(5272,a,12363,a),flip(a)]. given #11386 (H,wt=19): 12402 (K(x,y) * K(z,y)) * u = K(z,y) * (K(x,y) * u). [para(12400(a,1),11298(a,1,2,1)),flip(a)]. given #11387 (H,wt=24): 12378 a(x,x \ y,x) * T(z,K(x,y)) = K(x,x \ y) * (z * K(y,x)). [para(7984(a,1),12282(a,1,2))]. given #11388 (H,wt=24): 12379 (x * (y * R(z,u,z))) / (x * (y * z)) = L(a(z,u,z),y * z,x). [para(11408(a,1),12303(a,1,1,2))]. given #11389 (H,wt=24): 12399 T(K(x,y),z) * T(K(y,u),z) != w | T(K(y,u) * K(x,y),z) = w. [para(10052(a,1),12362(a,1))]. given #11390 (H,wt=25): 12326 (x / (K(y,y * z) * a(y,z,y))) * K(y,y * z) = a(y,z,y) \ x. [hyper(236,a,10122,a,b,12293,a(flip)),flip(a)]. given #11391 (H,wt=25): 12356 x / (K(y \ x,z) * (y * (x / y))) = K(z,y \ x) * K(y \ x,y). [para(5298(a,1),12271(a,1,1))]. given #11392 (H,wt=25): 12370 (K(x,y) * L(K(z,x),u,w)) * v5 = K(x,y) * (L(K(z,x),u,w) * v5). [para(12366(a,1),103(a,1,2))]. given #11393 (H,wt=25): 12382 T(K(x,y) * K(z,x),K(x,z) * u) = (K(x,z) * u) \ (K(x,y) * u). [para(5268(a,1),12361(a,1,2,2)),flip(a)]. given #11394 (H,wt=26): 12273 (K(x,y) * K(y,z)) * u != w * v5 | (K(x,y) * (K(y,z) * u)) / v5 = w. [para(12267(a,2),555(a,1))]. given #11395 (H,wt=26): 12278 R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(T(x,K(z,u)),K(y,z)). [para(12269(a,1),11787(a,2,1))]. given #11396 (H,wt=26): 12349 T(x * L(x \ (T(x,y) * y),z,u),x) = x * L(a(x,y,x) * y,z,u). [para(12340(a,1),8740(a,2,2,1))]. given #11397 (H,wt=26): 12407 R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(T(x,K(z,u)),K(z,y)). [hyper(236,a,7981,a,b,12278,a)]. given #11398 (H,wt=19): 12410 T(T(x,K(y,z)),K(y,u)) = T(x,K(u,y) * K(y,z)). [hyper(236,a,9018,a(flip),b,12407,a(flip))]. given #11399 (H,wt=19): 12412 T(T(x,K(y,z)),K(z,u)) = T(x,K(y,z) * K(z,u)). [hyper(236,a,7985,a,b,12410,a(flip)),flip(a)]. given #11400 (H,wt=19): 12413 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,z) * K(u,y)). [para(2192(a,2),12410(a,2,2))]. given #11401 (H,wt=19): 12415 T(T(x,K(y,z)),K(z,u)) = T(x,K(z,u) * K(y,z)). [para(2192(a,2),12412(a,2,2))]. given #11402 (H,wt=19): 12416 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,u) * K(z,y)). [hyper(417,a,12413,a)]. given #11403 (H,wt=19): 12419 T(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(236,a,12413,a(flip),b,12416,a(flip))]. given #11404 (H,wt=21): 12420 T(x * K(K(y,z) * K(u,y),x),K(y,u) * K(z,y)) = x. [hyper(5029,a,12419,a)]. given #11405 (H,wt=21): 12421 x * K(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(4981,a,12419,a)]. given #11406 (H,wt=22): 12424 T(x,K(y,z) * K(u,y)) != w | T(x,K(y,u) * K(z,y)) = w. [para(12420(a,1),5036(a,1,1))]. given #11407 (H,wt=22): 12425 T(T(x,K(y,z)),K(y,u)) != w | T(x,K(y,u) * K(z,y)) = w. [para(12413(a,2),12424(a,1))]. given #11408 (H,wt=22): 12426 T(T(x,K(y,z)),K(y,u)) != w | T(x,K(y,z) * K(u,y)) = w. [para(12416(a,2),12424(a,1))]. given #11409 (H,wt=23): 12414 T(x,K(y,z) * K(z,u)) \ x = K(x,K(z,y)) * K(x,K(z,u)). [para(12410(a,1),9922(a,1,1))]. given #11410 (H,wt=21): 12427 K(x,K(y,z)) * K(x,K(y,u)) = K(K(z,y) * K(y,u),x). [hyper(4920,a,12414,a),flip(a)]. given #11411 (H,wt=24): 12423 T(x,K(y,z) * K(u,y)) != x * w | K(x,K(y,u) * K(z,y)) = w. [para(12419(a,1),4954(a,1))]. given #11412 (H,wt=24): 12428 K(x,K(y,z)) * K(x,K(y,u)) != w | K(K(z,y) * K(y,u),x) = w. [para(12414(a,1),4920(a,1))]. given #11413 (H,wt=25): 12417 T(T(x,K(y,z)),K(u,R(y,w,v5))) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(236,a,9592,a,b,12413,a(flip)),flip(a)]. given #11414 (H,wt=25): 12430 T(x,K(y,z) * K(R(z,u,w),y)) = T(x,K(y,z) * K(z,R(y,u,w))). [hyper(236,a,12412,a(flip),b,12417,a(flip))]. given #11415 (H,wt=25): 12431 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,K(y,z) * K(z,R(y,u,w))). [hyper(12424,a,12430,a)]. given #11416 (H,wt=26): 12409 T(x * L(x \ (T(x,y) * y),z,u),x) = x * L(y * a(x,y,x),z,u). [para(12292(a,1),12349(a,2,2,1))]. given #11417 (H,wt=24): 12433 T(x * L(y * K(x,y),z,u),x) = x * L(y * a(x,y,x),z,u). [para(5215(a,1),12409(a,1,1,2,1))]. given #11418 (H,wt=27): 12350 ((R(x,y,x) * z) * u) / ((x * z) * u) != w | R(a(x,y,x),x * z,u) = w. [para(12342(a,1),475(a,1,1,1))]. given #11419 (H,wt=27): 12406 (K(x,y) * L(K(x,z) \ 1,u,w)) * v5 = K(x,y) * (L(K(z,x),u,w) * v5). [para(5093(a,2),12370(a,1,1,2,1))]. given #11420 (H,wt=27): 12418 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(9457(a,1),12415(a,1,1,2)),flip(a)]. given #11421 (H,wt=27): 12432 x * K(x,K(y,z) * K(z,R(y,u,w))) = T(x,K(y,R(z,u,w)) * K(z,y)). [hyper(236,a,4887,a(flip),b,12431,a),flip(a)]. given #11422 (H,wt=25): 12436 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,4887,a(flip),b,12432,a),flip(a)]. given #11423 (H,wt=27): 12435 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(9591(a,1),12418(a,2,1))]. given #11424 (H,wt=27): 12437 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(236,a,12416,a(flip),b,12435,a)]. given #11425 (H,wt=25): 12438 T(x,K(y,z) * R(K(u,y),w,v5)) = T(x,K(y,z) * K(R(u,w,v5),y)). [para(9457(a,1),12437(a,1,2,2))]. given #11426 (H,wt=25): 12439 T(x,K(y,R(z,u,w)) * K(v5,y)) = T(x,K(y,v5) * R(K(z,y),u,w)). [hyper(236,a,12419,a,b,12438,a),flip(a)]. given #11427 (H,wt=28): 12318 (x * a(y,z,y)) \ (a(y,z,y) * (u * x)) != w | L(T(u,x),x,a(y,z,y)) = w. [para(12292(a,1),718(a,1,1))]. given #11428 (H,wt=29): 12272 (K(x,y) * (K(y,z) * u)) / (K(x,y) * K(y,z)) = u * K(K(x,y) * K(y,z),u). [hyper(74,a,12267,a(flip),b,4900,a)]. given #11429 (H,wt=29): 12393 T((K(x,y) \ z) * K(x,y),K(y,u)) \ z = K(K(x,y) * K(y,u),K(x,y) \ z). [para(12392(a,1),7588(a,1,1))]. given #11430 (H,wt=25): 12441 K(K(x,y) * K(y,z),K(x,y) \ u) = T(T(u,K(x,y)),K(y,z)) \ u. [para(7252(a,1),12393(a,1,1,1)),flip(a)]. given #11431 (H,wt=25): 12442 K(K(x,y) * K(y,z),K(x,y) \ u) = T(u,K(y,z) * K(x,y)) \ u. [para(12415(a,1),12441(a,2,1))]. given #11432 (H,wt=23): 12443 K(K(x,y) * K(y,z),K(x,y) \ u) = K(K(y,z) * K(x,y),u). [hyper(236,a,4821,a,b,12442,a)]. given #11433 (H,wt=23): 12444 K(K(x,y) * K(y,z),K(y,x) * u) = K(K(y,z) * K(x,y),u). [para(5260(a,1),12443(a,1,2))]. given #11434 (H,wt=29): 12398 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(4853(a,1),12397(a,1,1,2)),flip(a)]. given #11435 (H,wt=23): 12445 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),y,z). [para(4853(a,1),12398(a,2,2))]. given #11436 (H,wt=29): 12440 (K(x,y) * (K(y,z) * u)) * (K(y,x) * K(z,y)) = u * K(K(x,y) * K(y,z),u). [hyper(236,a,9093,a(flip),b,12272,a(flip)),flip(a)]. given #11437 (H,wt=25): 12446 T((K(x,y) * z) * K(y,x),K(x,u)) = z * K(K(u,x) * K(x,y),z). [hyper(236,a,11283,a(flip),b,12440,a(flip)),flip(a)]. given #11438 (H,wt=21): 12447 x * K(K(y,z) * K(z,u),x) = T(T(x,K(z,u)),K(z,y)). [para(7986(a,1),12446(a,1,1)),flip(a)]. given #11439 (H,wt=21): 12448 x * K(K(y,z) * K(z,u),x) = T(x,K(z,u) * K(y,z)). [hyper(236,a,12413,a(flip),b,12447,a)]. given #11440 (H,wt=19): 12449 K(K(x,y) * K(y,z),u) = K(u,K(y,x) * K(z,y)). [hyper(17,a,12421,a,b,12448,a)]. given #11441 (H,wt=19): 12452 K(K(x,y) * K(z,x),u) = K(u,K(x,z) * K(y,x)). [para(2192(a,2),12449(a,1,1))]. given #11442 (H,wt=21): 12450 x * K(K(y,z) * K(u,y),x) = T(x,K(y,z) * K(u,y)). [para(2192(a,2),12448(a,1,2,1))]. given #11443 (H,wt=19): 12453 K(K(x,y) * K(z,x),u) = K(u,K(x,y) * K(z,x)). [hyper(17,a,4887,a(flip),b,12450,a)]. given #11444 (H,wt=19): 12454 T(T(x,K(y,z) * K(u,y)),K(y,u) * K(z,y)) = x. [para(12450(a,1),12420(a,1,1))]. given #11445 (H,wt=19): 12456 K(K(x,y) * K(z,x),u) = K(u,K(z,x) * K(x,y)). [para(2192(a,1),12453(a,2,2))]. given #11446 (H,wt=19): 12458 K(x,K(y,z) * K(u,y)) = K(x,K(z,y) * K(y,u)). [hyper(236,a,12452,a(flip),b,12456,a(flip)),flip(a)]. given #11447 (H,wt=21): 12451 K(x,K(y,z)) * K(x,K(y,u)) = K(x,K(y,z) * K(u,y)). [hyper(236,a,12427,a,b,12449,a(flip)),flip(a)]. given #11448 (H,wt=21): 12459 K(x,K(y,z)) * K(x,K(y,u)) = K(K(y,z) * K(u,y),x). [hyper(236,a,12453,a,b,12451,a)]. given #11449 (H,wt=23): 12455 K(K(x,y) * K(y,z),K(y,x) * u) = K(u,K(y,z) * K(x,y)). [hyper(236,a,12444,a,b,12453,a(flip)),flip(a)]. given #11450 (H,wt=25): 12460 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = a(K(w,K(v5,v6)),v7,v7 \ w). [hyper(236,a,12199,a,b,12451,a(flip))]. given #11451 (H,wt=16): 12464 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = 1. [hyper(236,a,12181,a(flip),b,12460,a)]. given #11452 (H,wt=16): 12465 K(x,K(y,z) * K(z,R(y,u,u \ x))) = 1. [hyper(236,a,12436,a(flip),b,12464,a(flip)),flip(a)]. given #11453 (H,wt=16): 12466 K(x * y,K(z,u) * K(u,R(z,x,y))) = 1. [para(13(a,1),12465(a,1,2,2,2,3))]. given #11454 (H,wt=27): 12457 (K(x,y) * K(z,x)) * K(u,K(x,y) * K(z,x)) = T(K(x,y) * K(z,x),u). [para(12453(a,1),4887(a,2,2)),flip(a)]. given #11455 (H,wt=21): 12467 (x * (K(y,z) * K(u,y))) / x = T(K(y,z) * K(u,y),x). [hyper(5058,a,12457,a)]. given #11456 (H,wt=29): 12461 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(236,a,10522,a,b,12451,a(flip)),flip(a)]. given #11457 (H,wt=29): 12463 K(x,K(y,z)) * K(x * K(y,u),K(y,w)) = K(x * K(y,u),K(y,z) * K(w,y)). [para(8213(a,1),12451(a,1,1))]. given #11458 (H,wt=25): 12470 K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u)) * K(x,K(y,w)). [para(8213(a,1),12463(a,1,2)),flip(a)]. given #11459 (H,wt=23): 12471 K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u) * K(w,y)). [hyper(236,a,12451,a(flip),b,12470,a)]. given #11460 (H,wt=23): 12474 K(K(x,y) * z,K(y,u) * K(w,y)) = K(z,K(y,u) * K(w,y)). [para(7551(a,1),12471(a,1,1)),flip(a)]. given #11461 (H,wt=23): 12475 K(K(x,y) * z,K(u,y) * K(y,w)) = K(z,K(y,u) * K(w,y)). [hyper(236,a,12458,a(flip),b,12474,a(flip)),flip(a)]. given #11462 (H,wt=22): 12476 K(x,K(y,z) * K(u,y)) != w | K(x,K(z,y) * K(y,u)) = w. [para(12475(a,1),8415(a,1))]. given #11463 (H,wt=24): 12472 K(x,K(y,z)) * K(x,K(y,u)) != w | K(x,K(y,z) * K(u,y)) = w. [para(12470(a,1),5423(a,1))]. given #11464 (H,wt=22): 12478 K(K(x,y) * K(y,z),u) != w | K(u,K(y,x) * K(z,y)) = w. [para(12427(a,1),12472(a,1))]. given #11465 (H,wt=22): 12479 K(K(x,y) * K(z,x),u) != w | K(u,K(x,z) * K(y,x)) = w. [para(2192(a,2),12478(a,1,1))]. given #11466 (H,wt=29): 12468 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = T(K(z,u) * K(y,z),K(u,z) * x). [para(11283(a,1),12467(a,1,1))]. given #11467 (H,wt=29): 12469 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(7919(a,1),12461(a,1,2,2,2))]. given #11468 (H,wt=21): 12480 K(x,K(y,z)) * K(x,K(z,u)) = K(z,K(x,y) * K(u,x)). [hyper(5535,a,12469,a)]. given #11469 (H,wt=21): 12481 K(x,K(y,z)) * K(y,K(z,u)) = K(z,K(y,x) * K(u,y)). [para(7919(a,1),12480(a,1,1))]. given #11470 (H,wt=30): 12314 (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(72,a,12292,a,b,614,a)]. given #11471 (H,wt=27): 12482 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(12314(a,1),12318(a,1))]. given #11472 (H,wt=31): 12336 ((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(103(a,1),12313(a,1,2))]. given #11473 (H,wt=28): 12483 (x * (y * R(z,u,L(z,y,x)))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). [para(443(a,1),12336(a,1,1))]. given #11474 (H,wt=25): 12484 (x * (y * R(z,u,z))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). [para(11363(a,1),12483(a,1,1,2))]. given #11475 (H,wt=20): 12485 L(a(x,y,x),z * x,u) = a(L(x,z,u),y,L(x,z,u)). [hyper(236,a,12379,a(flip),b,12484,a(flip)),flip(a)]. given #11476 (H,wt=22): 12488 a(L(x,y / x,z),u,L(x,y / x,z)) = L(a(x,u,x),y,z). [para(16(a,1),12485(a,1,2)),flip(a)]. given #11477 (H,wt=31): 12372 T((x / R(y,z,y)) * K(y,u),u / (u / y)) = ((R((u * y) / u,z,y) \ y) \ y) \ x. [hyper(236,a,11834,a(flip),b,12371,a(flip))]. given #11478 (H,wt=29): 12490 ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ ((u / R(y,z,y)) * y). [hyper(236,a,9828,a(flip),b,12372,a(flip))]. given #11479 (H,wt=29): 12491 ((R((x * y) / x,z,y) \ y) \ y) \ u = ((x * y) / x) \ (y * (R(y,z,y) \ u)). [para(8358(a,1),12490(a,2,2))]. given #11480 (H,wt=27): 12492 ((R((x * y) / x,z,y) \ y) \ y) \ u = T(y,x) * (y \ (R(y,z,y) \ u)). [hyper(236,a,4292,a(flip),b,12491,a)]. given #11481 (H,wt=25): 12493 ((x \ L(T(x,y),z,x)) \ x) \ u = T(x,y) * (x \ (R(x,z,x) \ u)). [para(9600(a,1),12492(a,1,1,1))]. given #11482 (H,wt=23): 12494 T(x,y) * (x \ (R(x,z,x) \ u)) = R(x * K(y,x),z,x) \ u. [para(10528(a,1),12493(a,1,1)),flip(a)]. given #11483 (H,wt=24): 12495 R(x * K(y,x),z,x) \ u != w | K(x,y) * (R(x,z,x) \ u) = w. [para(12494(a,1),5254(a,1))]. given #11484 (H,wt=31): 12391 T(a(1 / (x / y),z,1 / (x / y)),u) = (1 / (x / y)) \ R(1 / (x / y),z,y / x). [para(12254(a,1),12328(a,2,2))]. given #11485 (H,wt=29): 12496 T(a(1 / (x / y),z,1 / (x / y)),u) = (x / y) * R((x / y) \ 1,z,y / x). [hyper(236,a,1082,a(flip),b,12391,a)]. given #11486 (H,wt=27): 12497 T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,y / x)) / y. [hyper(236,a,1519,a(flip),b,12496,a)]. given #11487 (H,wt=27): 12498 T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,x \ y)) / y. [para(9836(a,1),12497(a,2,1,2))]. given #11488 (H,wt=23): 12499 T(a(1 / (x / y),z,1 / (x / y)),u) = a(x \ y,z,x \ y). [hyper(236,a,12331,a(flip),b,12498,a)]. given #11489 (H,wt=23): 12500 T(a(1 / (x / y),z,(x / y) \ 1),u) = a(x \ y,z,x \ y). [para(11930(a,1),12499(a,1,1))]. given #11490 (H,wt=32): 12429 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(6813(a,1),12427(a,1,2,2)),flip(a)]. given #11491 (H,wt=32): 12501 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(9418(a,1),12429(a,2,2))]. given #11492 (H,wt=30): 12502 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(K(x,y) * K(y,R(w,z,u)),v5). [hyper(236,a,12427,a(flip),b,12501,a)]. given #11493 (H,wt=25): 12503 K(K(x,y) * R(K(y,z),u,w),v5) = K(K(x,y) * K(y,R(z,u,w)),v5). [para(6813(a,1),12502(a,1,1,2))]. given #11494 (H,wt=33): 12477 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(x,K(z,y) * K(u,z)). [para(12475(a,1),11342(a,2,2))]. given #11495 (H,wt=33): 12504 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = K(y,z) * (K(z,u) * K(x,K(z,y) * K(u,z))). [hyper(236,a,12267,a(flip),b,12477,a)]. given #11496 (H,wt=34): 12403 ((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(12402(a,1),6058(a,1,2,2))]. given #11497 (H,wt=28): 12506 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = ((u * y) / u) \ (y * (K(u,y) * x)). [para(5207(a,1),12403(a,1,2)),flip(a)]. given #11498 (H,wt=24): 12507 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = K(y,u) * (K(u,y) * x). [hyper(236,a,5193,a(flip),b,12506,a)]. given #11499 (H,wt=16): 12509 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = x. [hyper(236,a,5268,a(flip),b,12507,a)]. given #11500 (H,wt=14): 12511 L(x,K(y,z) * K(u,z),T(z,u)) = x. [para(6057(a,1),12509(a,1,2))]. given #11501 (H,wt=35): 12279 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(12268(a,1),2662(a,1,1)),flip(a)]. given #11502 (H,wt=30): 12512 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(12268(a,1),12279(a,2,2,1,1))]. given #11503 (H,wt=28): 12513 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(5093(a,1),12512(a,2,2,1))]. given #11504 (H,wt=26): 12515 R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). [para(5093(a,1),12513(a,1,1,2,1))]. given #11505 (H,wt=26): 12516 ((K(x,y) * z) * u) / (K(x,y) * (z * u)) = K(y,x) * R(K(x,y),z,u). [hyper(236,a,5281,a(flip),b,12515,a(flip)),flip(a)]. given #11506 (H,wt=30): 12518 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(12515(a,2),6913(a,1,1))]. given #11507 (H,wt=36): 12338 ((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(236,a,469,a,b,12334,a(flip)),flip(a)]. given #11508 (H,wt=31): 12522 (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(9046(a,1),12338(a,1,1,1))]. given #11509 (H,wt=28): 12523 ((R(x,y,R(x,z,u)) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(472(a,1),12522(a,1,1))]. given #11510 (H,wt=25): 12524 ((R(x,y,x) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(11377(a,1),12523(a,1,1))]. given #11511 (H,wt=23): 12525 a(R(x,y,z),u,R(x,y,z)) != w | R(a(x,u,x),x * y,z) = w. [para(12524(a,1),12350(a,1))]. given #11512 (H,wt=36): 12389 ((a(L(x,y,z),u,L(x,y,z)) * (z * y)) * L(x,y,z)) / (z * (y * x)) = a(L(x,y,z),u,L(x,y,z)). [hyper(236,a,441,a,b,12388,a(flip)),flip(a)]. given #11513 (H,wt=37): 12519 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(12515(a,1),12237(a,1,1))]. given #11514 (H,wt=35): 12526 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(7845,a,12519,a)]. given #11515 (H,wt=35): 12528 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(236,a,12503,a(flip),b,12526,a(flip)),flip(a)]. given #11516 (H,wt=31): 12529 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(236,a,12455,a(flip),b,12528,a(flip))]. given #11517 (H,wt=31): 12530 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(236,a,12436,a(flip),b,12529,a)]. given #11518 (H,wt=18): 12531 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = 1. [hyper(236,a,12466,a(flip),b,12530,a)]. given #11519 (H,wt=16): 12532 K(a(K(x,y),z,u),K(x,y) * (z * u)) = 1. [hyper(7845,a,12531,a)]. given #11520 (H,wt=24): 12534 1 * (((K(x,y) * z) * u) / (K(x,y) * (z * u))) = a(K(x,y),z,u). [para(12532(a,1),5023(a,1,1))]. given #11521 (H,wt=19): 12535 1 * (K(x,y) * R(K(y,x),z,u)) = a(K(y,x),z,u). [para(12516(a,1),12534(a,1,2))]. given #11522 (H,wt=17): 12536 K(x,y) * R(K(y,x),z,u) = a(K(y,x),z,u). [hyper(76,a,12535,a)]. given #11523 (H,wt=17): 12538 K(x,y) * a(K(x,y),z,u) = R(K(x,y),z,u). [hyper(5285,a,12536,a)]. given #11524 (H,wt=17): 12539 R(K(x,y),z,u) * K(y,x) = a(K(x,y),z,u). [hyper(2200,a,12536,a)]. given #11525 (H,wt=19): 12543 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z * x,u). [para(9515(a,1),12536(a,1,2))]. given #11526 (H,wt=20): 12547 K(x,y) * R(K(y,x),z,u) != w | a(K(y,x),z,u) = w. [para(12538(a,1),5271(a,1,2)),flip(b)]. given #11527 (H,wt=21): 12541 K(x,y) * (R(K(y,x),z,u) * w) = a(K(y,x),z,u) * w. [para(12536(a,1),6913(a,1,1)),flip(a)]. given #11528 (H,wt=21): 12544 (x * a(K(y,z),u,w)) * (K(y,z) * R(K(z,y),u,w)) = x. [para(12536(a,1),12135(a,1,1,2))]. given #11529 (H,wt=17): 12552 (x * a(K(y,z),u,w)) * a(K(z,y),u,w) = x. [para(12536(a,1),12544(a,1,2))]. given #11530 (H,wt=21): 12545 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,a(K(z,y),u,w)). [para(12536(a,1),12439(a,2,2))]. given #11531 (H,wt=21): 12546 K(K(x,y) * K(y,R(x,z,u)),w) = K(a(K(y,x),z,u),w). [para(12536(a,1),12503(a,1,1)),flip(a)]. given #11532 (H,wt=21): 12551 K(x,y) * (a(K(x,y),z,u) * w) = R(K(x,y),z,u) * w. [hyper(5285,a,12541,a)]. given #11533 (H,wt=21): 12555 K(x,K(y,z) * K(R(z,u,w),y)) = K(a(K(y,z),u,w),x). [hyper(12478,a,12546,a)]. given #11534 (H,wt=22): 12550 K(x,y) * K(y,R(x,z,u)) != w | a(K(y,x),z * x,u) = w. [para(9515(a,1),12547(a,1,2))]. given #11535 (H,wt=23): 12540 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(y,x \ 1),z,u). [para(6791(a,1),12536(a,1,2))]. given #11536 (H,wt=23): 12549 R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * a(K(x,y),u,w). [para(12539(a,1),9998(a,2,2))]. given #11537 (H,wt=24): 12558 K(a(K(x,y),z,u),w) != v5 | K(w,K(x,y) * K(R(y,z,u),x)) = v5. [para(12546(a,1),12478(a,1))]. given #11538 (H,wt=25): 12537 1 * (K(x,K(y,z)) * R(K(x,K(y,z)),u,w)) = a(K(x,K(y,z)),u,w). [para(7936(a,1),12535(a,1,2,1))]. given #11539 (H,wt=25): 12554 (T(x,x \ y) * a(K(z,u),w,v5)) \ ((x \ y) \ y) = a(K(u,z),w,v5). [hyper(72,a,120,a(flip),b,12552,a)]. given #11540 (H,wt=25): 12560 1 * (K(x,K(y,z)) * K(y,K(z,R(x,u,w)))) = a(K(x,K(y,z)),u,w). [para(9417(a,1),12537(a,1,2,2))]. given #11541 (H,wt=23): 12561 1 * K(x,K(y,z) * K(R(z,u,w),y)) = a(K(z,K(y,x)),u,w). [para(12481(a,1),12560(a,1,2))]. given #11542 (H,wt=26): 12559 K(x,x * y) * (a(K(x,y),z,u) * x) = R(K(x,y),z,u) * L(x,y,x). [hyper(236,a,12040,a(flip),b,12551,a(flip)),flip(a)]. given #11543 (H,wt=26): 12562 K(x,x * y) * (x * a(K(x,y),z,u)) = R(K(x,y),z,u) * L(x,y,x). [para(9177(a,1),12559(a,1,2))]. given #11544 (H,wt=24): 12563 T(x,x * y) * a(K(x,y),z,u) = R(K(x,y),z,u) * L(x,y,x). [hyper(5216,a,12562,a)]. given #11545 (H,wt=24): 12564 T(x,x * y) * a(K(x,y),z,u) = L(x * R(K(x,y),z,u),y,x). [hyper(236,a,9996,a,b,12563,a)]. given #11546 (H,wt=33): 12548 (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(12538(a,1),10801(a,1,1)),flip(a)]. given #11547 (H,wt=27): 12565 (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = z * a(K(x,y),u,w). [hyper(236,a,12549,a(flip),b,12548,a)]. given #11548 (H,wt=40): 12521 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(7886(a,1),12518(a,1,1,1,2,1))]. given #11549 (H,wt=40): 12566 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(9416(a,1),12521(a,1,1,1,2))]. given #11550 (H,wt=38): 12567 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(12481(a,1),12566(a,1,1,1))]. given #11551 (H,wt=34): 12568 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(12555(a,1),12567(a,1,1,1))]. given #11552 (H,wt=27): 12569 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v5) = K(a(K(y,x),u,w),z) * v5. [para(342(a,1),12568(a,1,1)),flip(a)]. given #11553 (H,wt=27): 12570 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * y) = y * K(a(K(y,x),u,w),z). [hyper(236,a,9179,a(flip),b,12569,a)]. given #11554 (H,wt=27): 12571 K(x,K(y,z)) * (R(K(y,K(z,x)),u,w) * y) = y * K(a(K(y,x),u,w),z). [para(7886(a,1),12570(a,1,2,1,1))]. given #11555 (H,wt=27): 12572 K(x,K(y,z)) * (K(y,K(z,R(x,u,w))) * y) = y * K(a(K(y,x),u,w),z). [para(9416(a,1),12571(a,1,2,1))]. given #11556 (H,wt=25): 12573 K(x,K(y,z)) * T(y,K(z,R(x,u,w))) = y * K(a(K(y,x),u,w),z). [para(4897(a,2),12572(a,1,2))]. given #11557 (H,wt=25): 12574 T(K(x,K(y,z)) * y,K(x,R(z,u,w))) = y * K(a(K(y,x),u,w),z). [hyper(236,a,9594,a,b,12573,a(flip)),flip(a)]. given #11558 (H,wt=23): 12575 T(T(x,K(y,z)),K(y,R(z,u,w))) = x * K(a(K(x,y),u,w),z). [para(7925(a,1),12574(a,1,1))]. given #11559 (H,wt=23): 12576 T(x,K(y,R(z,u,w)) * K(z,y)) = x * K(a(K(x,y),u,w),z). [hyper(12425,a,12575,a)]. given #11560 (H,wt=19): 12577 x * K(a(K(x,y),z,u),w) = T(x,a(K(w,y),z,u)). [hyper(236,a,12545,a(flip),b,12576,a(flip))]. given #11561 (H,wt=17): 12578 K(a(K(x,y),z,u),w) = K(x,a(K(w,y),z,u)). [hyper(17,a,4887,a(flip),b,12577,a)]. given #11562 (H,wt=21): 12579 K(x,K(y,z) * K(R(z,u,w),y)) = K(y,a(K(x,z),u,w)). [hyper(12558,a,12578,a)]. given #11563 (H,wt=19): 12580 1 * K(x,a(K(y,z),u,w)) = a(K(z,K(x,y)),u,w). [para(12579(a,1),12561(a,1,2))]. given #11564 (H,wt=17): 12581 a(K(x,K(y,z)),u,w) = K(y,a(K(z,x),u,w)). [hyper(76,a,12580,a),flip(a)]. given #11565 (H,wt=17): 12582 a(K(x,K(y,z)),u,w) = K(a(K(y,x),u,w),z). [hyper(236,a,12578,a,b,12581,a)]. given #11566 (H,wt=17): 12583 a(K(x,K(y,z)),u,w) = K(x,a(K(z,y),u,w)). [para(7919(a,1),12581(a,1,1))]. given #11567 (H,wt=17): 12584 a(K(x,K(y,z)),u,w) = K(a(K(x,y),u,w),z). [para(7919(a,1),12582(a,1,1))]. given #11568 (H,wt=42): 12375 L((K(x,y) * K(z,x)) \ 1,K(x,y) * K(z,x),u) \ K(K(x,y) * K(z,x),u) = (((K(y,x) * K(x,z)) \ u) \ u) \ 1. [para(12373(a,2),11825(a,2,1,1))]. given #11569 (H,wt=31): 12585 (((K(x,y) * K(y,z)) \ u) \ u) \ 1 = (K(x,y) * K(y,z)) \ K(K(y,x) * K(z,y),u). [para(9092(a,1),12375(a,1,1)),flip(a)]. given #11570 (H,wt=31): 12586 (((K(x,y) * K(y,z)) \ u) \ u) \ 1 = (K(y,x) * K(z,y)) * K(K(y,x) * K(z,y),u). [hyper(236,a,12373,a(flip),b,12585,a)]. given #11571 (H,wt=23): 12588 (((K(x,y) * K(y,z)) \ u) \ u) \ 1 = T(K(y,x) * K(z,y),u). [hyper(236,a,4887,a,b,12586,a)]. given #11572 (H,wt=23): 12589 ((K(x,y) * (K(y,z) * u)) \ u) \ 1 = T(K(y,z) * K(x,y),u). [para(12276(a,1),12588(a,1,1,1))]. given #11573 (H,wt=46): 5409 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(4825(a,1),2662(a,2,1,2,1))]. given #11574 (H,wt=44): 12590 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(5146(a,1),5409(a,1,1))]. given #11575 (H,wt=42): 12591 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(5146(a,1),12590(a,1,2,1,1)),flip(a)]. given #11576 (H,wt=40): 12592 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(5093(a,1),12591(a,2,2,1))]. given #11577 (H,wt=40): 12593 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(6791(a,1),12592(a,2,2))]. given #11578 (H,wt=38): 12594 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(4830(a,1),12593(a,1,1,1)),flip(a)]. given #11579 (H,wt=38): 12595 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(6791(a,1),12594(a,2,1,2))]. given #11580 (H,wt=29): 12596 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(236,a,12540,a(flip),b,12595,a(flip))]. given #11581 (H,wt=46): 10908 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(10906(a,1),9043(a,1,1))]. given #11582 (H,wt=36): 12597 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(5004(a,1),10908(a,1,2)),flip(a)]. given #11583 (H,wt=47): 3104 (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(1706(a,2),3103(a,1,2))]. given #11584 (H,wt=29): 12598 (1 / (1 / (x * L(x \ 1,y,z)))) \ (x / x) = (x / (x * L(x \ 1,y,z))) / x. [para(16(a,1),3104(a,1,2,1))]. given #11585 (H,wt=27): 12599 (1 / (1 / (x * L(x \ 1,y,z)))) \ 1 = (x / (x * L(x \ 1,y,z))) / x. [para(59(a,1),12598(a,1,2))]. given #11586 (H,wt=23): 12601 (x / (x * L(x \ 1,y,z))) / x = 1 / (x * L(x \ 1,y,z)). [hyper(282,a,12599,a)]. given #11587 (H,wt=21): 12604 (L(1 / x,y,z) \ 1) / x = 1 / (x * L(x \ 1,y,z)). [para(2640(a,1),12601(a,1,1))]. given #11588 (H,wt=21): 12605 1 / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ (1 / x). [hyper(236,a,6641,a(flip),b,12604,a(flip))]. given #11589 (H,wt=21): 12606 1 / (x * L(x \ 1,y,z)) = L(x \ 1,y,z) \ (x \ 1). [hyper(236,a,4777,a(flip),b,12605,a)]. given #11590 (H,wt=21): 12607 1 / ((x \ 1) * L((x \ 1) \ 1,y,z)) = L(x,y,z) \ x. [hyper(236,a,6991,a(flip),b,12606,a)]. given #11591 (H,wt=15): 12609 1 / (x \ L(x,y,z)) = L(x,y,z) \ x. [para(1051(a,1),12607(a,1,2))]. given #11592 (H,wt=15): 12611 (L(x,y,z) \ x) * (x \ L(x,y,z)) = 1. [hyper(71,a,12609,a,b,1461,a),flip(a)]. given #11593 (H,wt=17): 12610 1 / (x \ L(x,y,y \ 1)) = a(y \ 1,y,x). [hyper(236,a,3682,a(flip),b,12609,a)]. given #11594 (H,wt=24): 12612 (L(x,y,z) \ x) * T(x \ L(x,y,z),u) = K(x \ L(x,y,z),u). [para(12609(a,1),4879(a,2,1)),flip(a)]. given #11595 (H,wt=24): 12614 (a(x \ 1,x,y) \ 1) * z != u | (y \ L(y,x,x \ 1)) * z = u. [para(12610(a,1),582(a,1,1,1))]. given #11596 (H,wt=25): 12608 (1 / (x * L(x \ 1,y,z))) \ (L(x \ 1,y,z) \ 1) = (x \ 1) \ 1. [para(12606(a,2),6642(a,1,1))]. given #11597 (H,wt=28): 12615 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w,u)). [hyper(236,a,7937,a,b,12612,a)]. given #11598 (H,wt=31): 12616 (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(12612(a,2),7971(a,1))]. given #11599 (H,wt=47): 11393 K((x * (K(y,x) / T(x,z))) \ 1,((u \ K(u,w)) * T(u,v5)) \ 1) = K(((x \ 1) \ K(y,x)) \ T(x,z),T(u,v5) \ ((u \ 1) \ K(w,u))). [para(8683(a,1),11392(a,1,1,1))]. given #11600 (H,wt=47): 12258 ((x \ y) \ K(x \ y,z)) * ((x \ y) * (K(z,x \ y) * T(x / (y * K(z,x \ y)),y * K(z,x \ y)))) = (y * K(z,x \ y)) \ x. [para(121(a,2),12257(a,1,2,2,2))]. given #11601 (H,wt=48): 9074 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(6385(a,1),9053(a,2,1))]. given #11602 (H,wt=48): 10853 K(R(x,y * z,a(x,y,z)),R(x,y * z,a(x,y,z)) * (((x * y) * z) \ (((y * z) * a(x,y,z)) * u))) = K(R(x,y * z,a(x,y,z)),u). [para(675(a,1),10848(a,1,2,2,2,1))]. given #11603 (H,wt=48): 12405 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(156(a,2),12356(a,1,2,2,2))]. given #11604 (H,wt=44): 12617 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(6504(a,1),12405(a,1,2,1))]. given #11605 (H,wt=37): 12618 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / (T(K(y,x),z) * ((y \ z) * y)). [para(3813(a,1),12617(a,1,2,2)),flip(a)]. given #11606 (H,wt=33): 12619 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / ((y \ z) * T(y,x)). [para(8251(a,1),12618(a,2,2))]. given #11607 (H,wt=43): 12620 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),12619(a,2,2,1))]. given #11608 (H,wt=42): 12621 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(11957(a,1),12620(a,1,1,2))]. given #11609 (H,wt=35): 12622 T(K(x,y),z) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(8747(a,1),12621(a,1,1))]. given #11610 (H,wt=34): 12624 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(11957(a,1),12622(a,1,2,1))]. given #11611 (H,wt=33): 12625 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(5474(a,1),12624(a,1,2))]. given #11612 (H,wt=31): 12626 T(K(x,y),z) * K(R(y,y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). [para(7849(a,1),12625(a,1,2))]. given #11613 (H,wt=19): 12627 (x * y) / (y * T(x,z)) = T(K(z,x),y) * K(x,y). [para(7100(a,1),12626(a,1,2)),flip(a)]. given #11614 (H,wt=19): 12628 (x * y) / (y * T(x,z)) = T(K(z,x) * K(x,y),y). [hyper(236,a,7167,a,b,12627,a)]. given #11615 (H,wt=49): 6133 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(4227(a,1),6018(a,1,2))]. given #11616 (H,wt=37): 12630 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(8963(a,1),6133(a,1,1)),flip(a)]. given #11617 (H,wt=37): 12631 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(236,a,7169,a,b,12630,a)]. given #11618 (H,wt=35): 12633 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(4906(a,1),12631(a,2,1))]. given #11619 (H,wt=49): 6153 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(4227(a,1),6152(a,1,2))]. given #11620 (H,wt=37): 12634 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(8963(a,1),6153(a,1,1)),flip(a)]. given #11621 (H,wt=37): 12635 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(236,a,7169,a,b,12634,a)]. given #11622 (H,wt=35): 12637 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(4906(a,1),12635(a,2,1))]. given #11623 (H,wt=33): 12638 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(236,a,10079,a(flip),b,12637,a)]. given #11624 (H,wt=33): 12639 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(4259(a,2),12638(a,1,2))]. given #11625 (H,wt=27): 12640 R(x,y,z) * R(T(u,u * x),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(8959(a,1),12639(a,1,2,1))]. given #11626 (H,wt=27): 12641 R(x,y,z) * R(T(u,x * u),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(4255(a,2),12640(a,1,2,1))]. given #11627 (H,wt=49): 12462 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = (((K(x,y) * K(z,x)) \ u) \ u) \ 1. [para(12451(a,2),5012(a,2,2)),flip(a)]. given #11628 (H,wt=49): 12643 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = ((K(y,x) * (K(x,z) * u)) \ u) \ 1. [para(12358(a,1),12462(a,2,1,1))]. given #11629 (H,wt=45): 12644 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [hyper(236,a,12589,a(flip),b,12643,a)]. given #11630 (H,wt=45): 12645 (K(x,y) * K(z,x)) \ (K(K(y,x) * (K(x,z) * u),K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(12358(a,1),12644(a,1,2,1,1))]. given #11631 (H,wt=37): 12646 (K(x,y) * K(z,x)) \ (K(x,K(u,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(8257(a,1),12645(a,1,2,1))]. given #11632 (H,wt=37): 12647 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(7937(a,1),12646(a,1,2,1))]. given #11633 (H,wt=37): 12649 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K(K(y,x) * (K(x,z) * u),K(x,z))) = T(K(x,z) * K(y,x),u). [para(12358(a,1),12647(a,1,2,2,1))]. given #11634 (H,wt=29): 12650 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K(x,K(u,z))) = T(K(x,z) * K(y,x),u). [para(8257(a,1),12649(a,1,2,2))]. given #11635 (H,wt=27): 12652 (K(x,y) * K(z,x)) \ K(u,K(x,y) * K(z,x)) = T(K(x,z) * K(y,x),u). [para(12480(a,1),12650(a,1,2))]. given #11636 (H,wt=27): 12653 K(x,y) * (K(y,z) * K(u,K(y,x) * K(z,y))) = T(K(y,z) * K(x,y),u). [hyper(12374,a,12652,a)]. given #11637 (H,wt=25): 12654 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = T(K(z,u) * K(y,z),x). [hyper(236,a,12504,a,b,12653,a(flip)),flip(a)]. given #11638 (H,wt=23): 12655 T(K(x,y) * K(z,x),K(y,x) * u) = T(K(x,y) * K(z,x),u). [hyper(236,a,12468,a(flip),b,12654,a(flip)),flip(a)]. given #11639 (H,wt=50): 11244 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(11243(a,1),2041(a,1,1)),flip(a)]. given #11640 (H,wt=49): 12656 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(11243(a,1),11244(a,2,2,1,1))]. given #11641 (H,wt=47): 12657 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(236,a,1542,a(flip),b,12656,a)]. given #11642 (H,wt=45): 12658 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(1969(a,1),12657(a,2,2))]. given #11643 (H,wt=43): 12659 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(953(a,1),12658(a,2,2,1))]. given #11644 (H,wt=37): 12660 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * (x \ R(x,z,u)),y). [para(1070(a,1),12659(a,2,2,1,2))]. given #11645 (H,wt=35): 12661 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(1542(a,1),12660(a,1,1))]. given #11646 (H,wt=51): 9073 (R(a(x,y,x),K(y,x),z * u) * (K(y,x) * z)) \ (K(x * y,x) * (z * u)) = L(L(u,z,K(y,x)),K(y,x) * z,R(a(x,y,x),K(y,x),z * u)). [para(9053(a,1),1134(a,1,2,1))]. given #11647 (H,wt=51): 9848 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(4813(a,1),8472(a,1,2)),flip(a)]. given #11648 (H,wt=41): 12662 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(236,a,9676,a(flip),b,9848,a)]. given #11649 (H,wt=41): 12663 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(236,a,7923,a(flip),b,12662,a)]. given #11650 (H,wt=52): 9796 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(2781(a,1),9706(a,2,1,1))]. given #11651 (H,wt=52): 11983 ((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(11982(a,1),6102(a,1,1,2))]. given #11652 (H,wt=52): 12517 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(12515(a,1),466(a,1,1,1)),flip(a)]. given #11653 (H,wt=22): 12666 L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = x. [hyper(236,a,13,a(flip),b,12517,a)]. given #11654 (H,wt=17): 12668 L(x,K(y,z),K(u,y) * R(K(y,u),w,v5)) = x. [para(12515(a,1),12666(a,1,3))]. given #11655 (H,wt=13): 12670 L(x,K(y,z),a(K(y,u),w,v5)) = x. [para(12536(a,1),12668(a,1,3))]. given #11656 (H,wt=25): 12671 (a(K(x,y),z,u) * K(x,w)) * v5 = a(K(x,y),z,u) * (K(x,w) * v5). [para(12670(a,1),103(a,1,2))]. given #11657 (H,wt=27): 12673 a(K(x,T(y,z)),u,w) * (K(x,y) * (K(y,x) * z)) = z * a(K(x,y),u,w). [hyper(236,a,12565,a(flip),b,12671,a(flip))]. given #11658 (H,wt=19): 12674 a(K(x,T(y,z)),u,w) * z = z * a(K(x,y),u,w). [para(5268(a,1),12673(a,1,2))]. given #11659 (H,wt=19): 12675 x * a(K(y,T(z,x)),u,w) = a(K(y,z),u,w) * x. [para(8051(a,1),12674(a,1,1,1)),flip(a)]. given #11660 (H,wt=17): 12676 a(K(x,T(y,z)),u,w) = T(a(K(x,y),u,w),z). [hyper(169,a,12675,a),flip(a)]. given #11661 (H,wt=28): 12672 (a(K(x,y),z,u) * K(x,w)) * v5 != v6 | a(K(x,y),z,u) * (K(x,w) * v5) = v6. [para(12670(a,1),219(a,1,2))]. given #11662 (H,wt=52): 12664 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(2800(a,1),9796(a,1,1,1,2))]. given #11663 (H,wt=44): 12677 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(4498(a,1),12664(a,1,1,1))]. given #11664 (H,wt=42): 12678 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(118(a,1),12677(a,1,1,1)),flip(a)]. given #11665 (H,wt=42): 12680 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(2800(a,1),12678(a,2,1,3,2))]. given #11666 (H,wt=38): 12681 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),12680(a,2,1,3))]. given #11667 (H,wt=34): 12683 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(4480(a,1),12681(a,2,1))]. given #11668 (H,wt=30): 12684 K(((x \ y) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(62(a,1),12683(a,1,1,1,1,2))]. given #11669 (H,wt=30): 12685 K(((x \ y) * (y \ x)) \ (x * (((x \ y) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(2800(a,1),12684(a,1,1,2))]. given #11670 (H,wt=22): 12686 K(((x \ y) * (y \ x)) \ y,z) = K(R(y,y \ x,x \ y),z). [hyper(236,a,5738,a(flip),b,12685,a(flip)),flip(a)]. given #11671 (H,wt=32): 12688 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),12686(a,1,1,1,1)),flip(a)]. given #11672 (H,wt=30): 12689 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((x * ((y * x) \ y)) \ (x * y),z). [para(7044(a,1),12688(a,2,1,1))]. given #11673 (H,wt=27): 12690 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = L(K(T(y * x,y),z),y,x). [hyper(236,a,7335,a(flip),b,12689,a)]. given #11674 (H,wt=25): 12691 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(T(y * x,y),z),y,x). [para(32(a,2),12690(a,1,1,3))]. given #11675 (H,wt=25): 12692 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(y * x,T(z,y)),y,x). [para(7260(a,1),12691(a,2,1))]. given #11676 (H,wt=21): 12693 R(K(x * y,z),y,T(x,y)) = L(K(y * x,T(z,y)),y,x). [hyper(236,a,6676,a(flip),b,12692,a(flip)),flip(a)]. given #11677 (H,wt=38): 12694 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(12693(a,1),8651(a,2,2))]. given #11678 (H,wt=35): 12695 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(236,a,103,a(flip),b,12694,a)]. given #11679 (H,wt=33): 12696 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [hyper(236,a,7284,a(flip),b,12695,a)]. given #11680 (H,wt=31): 12697 K(x,T(y,K(x * y,z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(119(a,1),12696(a,1,1,2,2,1))]. given #11681 (H,wt=29): 12698 K(x,T(y,K(x,z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(9339(a,1),12697(a,1,1,2))]. given #11682 (H,wt=25): 12699 K(x,y) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(7277(a,1),12698(a,1,1))]. given #11683 (H,wt=23): 12700 K(x,y) * ((K(x * y,z) * y) * x) = x * (K(y * x,z) * y). [para(119(a,1),12699(a,1,2,1,1,1))]. given #11684 (H,wt=28): 12702 L(T(K(x * y,z) * y,x),x,K(x,y)) = T(x,y) \ (x * (K(y * x,z) * y)). [para(12700(a,1),4975(a,1,2)),flip(a)]. given #11685 (H,wt=26): 12703 L(T(K(x * y,z) * y,x),x,K(x,y)) = K(y,x) * (K(y * x,z) * y). [hyper(236,a,5203,a(flip),b,12702,a)]. given #11686 (H,wt=21): 12704 K(x,y) * (K(x * y,z) * x) = T(K(y * x,z) * x,y). [hyper(3980,a,12703,a)]. given #11687 (H,wt=19): 12706 T(K(x * y,z) * y,x) = K(y * x,z) * T(y,x). [hyper(236,a,9139,a(flip),b,12704,a(flip))]. given #11688 (H,wt=21): 12707 T(K(x * y,z) * y,x) \ T(y,T(x,z)) = K(z,y * x). [para(12706(a,2),9393(a,1,1))]. given #11689 (H,wt=52): 12665 ((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(11470(a,1),11983(a,1,2,2))]. given #11690 (H,wt=53): 12422 (x * (K(y,z) * K(u,y))) / T(((K(y,z) * K(u,y)) \ x) * (K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(12419(a,1),4424(a,1,2))]. given #11691 (H,wt=53): 12708 (x * (K(y,z) * K(u,y))) / T((K(z,y) * (K(y,u) * x)) * (K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(12358(a,1),12422(a,1,2,1,1))]. given #11692 (H,wt=49): 12709 (x * (K(y,z) * K(u,y))) / T(T((K(y,u) * x) * K(u,y),K(y,z)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(11283(a,1),12708(a,1,2,1))]. given #11693 (H,wt=45): 12710 (x * (K(y,z) * K(u,y))) / T(T(T(x,K(y,u)),K(y,z)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(7986(a,1),12709(a,1,2,1,1))]. given #11694 (H,wt=45): 12711 (x * (K(y,z) * K(u,y))) / T(T(x,K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(12416(a,1),12710(a,1,2,1))]. given #11695 (H,wt=29): 12712 T(K(x,y) * K(z,x),(K(x,y) * K(z,x)) \ u) = (u * (K(x,y) * K(z,x))) / u. [para(12454(a,1),12711(a,1,2)),flip(a)]. given #11696 (H,wt=27): 12713 T(K(x,y) * K(z,x),(K(x,y) * K(z,x)) \ u) = T(K(x,y) * K(z,x),u). [hyper(236,a,12467,a(flip),b,12712,a)]. given #11697 (H,wt=27): 12714 T(K(x,y) * K(z,x),K(y,x) * (K(x,z) * u)) = T(K(x,y) * K(z,x),u). [para(12358(a,1),12713(a,1,2))]. given #11698 (H,wt=23): 12715 T(K(x,y) * K(z,x),K(x,z) * u) = T(K(x,y) * K(z,x),u). [hyper(236,a,12655,a(flip),b,12714,a(flip)),flip(a)]. given #11699 (H,wt=21): 12716 (K(x,y) * z) \ (K(x,u) * z) = T(K(x,u) * K(y,x),z). [hyper(236,a,12382,a(flip),b,12715,a(flip)),flip(a)]. given #11700 (H,wt=21): 12717 K(x,T(y,z)) * K(u,T(x,z)) = T(K(x,y) * K(u,x),z). [hyper(236,a,9894,a(flip),b,12716,a(flip)),flip(a)]. given #11701 (H,wt=25): 12718 K(x,T(y,z)) * (K(u,T(x,z)) * w) = T(K(x,y) * K(u,x),z) * w. [para(12717(a,1),12369(a,1,1)),flip(a)]. given #11702 (H,wt=32): 12719 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(236,a,10947,a(flip),b,12718,a(flip))]. given #11703 (H,wt=25): 12720 R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5) = a(x,z,R(x,u,w)) * v5. [para(12383(a,1),12719(a,1,1)),flip(a)]. given #11704 (H,wt=57): 9578 (((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(8865(a,1),5563(a,1,2,1))]. given #11705 (H,wt=57): 12613 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K((L(x,y,z) \ x) \ 1,L(x,y,z) \ x) * (((x \ L(x,y,z)) * u) / (1 * u)). [para(12611(a,1),12111(a,1,2,2,1)),flip(a)]. given #11706 (H,wt=55): 12723 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),L(x,y,z) \ x) * (((x \ L(x,y,z)) * u) / (1 * u)). [para(2712(a,1),12613(a,2,1))]. given #11707 (H,wt=53): 12724 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (((x \ L(x,y,z)) * u) / (1 * u)). [para(6745(a,1),12723(a,2,1))]. given #11708 (H,wt=51): 12725 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (((x \ L(x,y,z)) * u) / u). [para(11(a,1),12724(a,2,2,2))]. given #11709 (H,wt=47): 12726 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (x \ L(x,y,z)). [para(15(a,1),12725(a,2,2))]. given #11710 (H,wt=40): 12727 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = T(x \ L(x,y,z),a(z,y,x)). [hyper(236,a,4897,a,b,12726,a)]. given #11711 (H,wt=28): 12729 T(x \ L(x,y,z),a(z,y,x)) = ((((x \ L(x,y,z)) * u) / (1 * u)) \ 1) \ 1. [para(12611(a,1),12727(a,1,1,1,2,1)),flip(a)]. given #11712 (H,wt=26): 12730 T(x \ L(x,y,z),a(z,y,x)) = ((((x \ L(x,y,z)) * u) / u) \ 1) \ 1. [para(11(a,1),12729(a,2,1,1,2))]. given #11713 (H,wt=22): 12732 T(x \ L(x,y,z),a(z,y,x)) = ((x \ L(x,y,z)) \ 1) \ 1. [para(15(a,1),12730(a,2,1,1))]. given #11714 (H,wt=29): 12733 (L(x,y,z) \ x) * (((x \ L(x,y,z)) \ 1) \ 1) = K(x \ L(x,y,z),a(z,y,x)). [para(12732(a,1),12612(a,1,2))]. given #11715 (H,wt=25): 12734 (x \ L(x,y,z)) * (L(x,y,z) \ x) = K(x \ L(x,y,z),a(z,y,x)). [hyper(2288,a,12733,a)]. given #11716 (H,wt=13): 12735 K(x \ L(x,y,z),a(z,y,x)) = 1. [hyper(6711,a,12734,a),flip(a)]. given #11717 (H,wt=13): 12736 K(a(x,y,z),z \ L(z,y,x)) = 1. [hyper(73,a,12735,a,b,5101,a),flip(a)]. given #11718 (H,wt=13): 12738 1 / a(x,y,z) = a(x,y,z) \ 1. [para(12736(a,1),6636(a,1,2)),flip(a)]. given #11719 (H,wt=13): 12739 (a(x,y,z) \ 1) \ 1 = a(x,y,z). [para(12738(a,1),65(a,1,1))]. given #11720 (H,wt=16): 12740 (a(x,y,z) \ 1) \ 1 != u | a(x,y,z) = u. [para(12738(a,1),282(a,1,1)),flip(b)]. given #11721 (H,wt=18): 12737 x * K(y \ L(y,z,u),a(u,z,y)) != w | w = x. [para(12735(a,2),83(a,1,2))]. given #11722 (H,wt=19): 12743 (a(x,y,R(x,z,u)) \ 1) \ 1 = a(R(x,z,u),y,x). [para(12099(a,1),12739(a,1,1))]. given #11723 (H,wt=15): 12744 a(R(x,y,z),u,x) = a(x,u,R(x,y,z)). [hyper(12740,a,12743,a),flip(a)]. given #11724 (H,wt=18): 12745 a(R(x,y,z),u,x) != w | a(x,u,R(x,y,z)) = w. [para(12743(a,1),12740(a,1))]. given #11725 (H,wt=20): 12742 a(x,y,z) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(24(a,1),12739(a,1,1,1)),flip(a)]. given #11726 (H,wt=11): 12747 T(a(x,y,z),x) = a(x,y,z). [hyper(236,a,11883,a(flip),b,12742,a),flip(a)]. given #11727 (H,wt=13): 12748 a(x,y,z) * x = x * a(x,y,z). [para(12747(a,1),119(a,1,2)),flip(a)]. given #11728 (H,wt=16): 12749 x * a(x,y,z) != u | a(x,y,z) * x = u. [para(12747(a,1),220(a,1,2))]. given #11729 (H,wt=17): 12750 T(a(1 / x,y,z),x \ 1) = a(x \ 1,y,z). [para(3858(a,2),12747(a,1,1))]. given #11730 (H,wt=21): 12751 a((x / y) \ 1,z,(x / y) \ 1) = a(x \ y,z,x \ y). [hyper(236,a,12500,a(flip),b,12750,a(flip))]. given #11731 (H,wt=40): 12746 (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(236,a,9481,a,b,12744,a),flip(a)]. given #11732 (H,wt=38): 12752 (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(11699(a,1),12746(a,1,1,2))]. given #11733 (H,wt=36): 12753 (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(609(a,1),12752(a,1,1))]. given #11734 (H,wt=34): 12754 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(182(a,1),12753(a,1,2)),flip(a)]. given #11735 (H,wt=27): 12755 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(236,a,2088,a(flip),b,12754,a)]. given #11736 (H,wt=27): 12756 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),12755(a,2,3))]. given #11737 (H,wt=27): 12757 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(12745,a,12756,a)]. given #11738 (H,wt=23): 12758 a(x,T(x,y) \ y,R(x,z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(236,a,12096,a(flip),b,12757,a(flip)),flip(a)]. given #11739 (H,wt=21): 12760 a(x,x \ y,R(T(x,y),z,u)) = a(x,x \ y,R(x,z,u)). [hyper(236,a,11896,a(flip),b,12758,a(flip))]. given #11740 (H,wt=27): 12762 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(236,a,11301,a,b,12760,a(flip)),flip(a)]. given #11741 (H,wt=25): 12763 a(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(9762,a,12762,a)]. given #11742 (H,wt=28): 12765 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,y \ (w * y),R(y,z,u)). [para(12763(a,1),11764(a,1,2)),flip(a)]. given #11743 (H,wt=26): 12766 (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),12765(a,2,2,2))]. given #11744 (H,wt=24): 12767 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,w,R(y,z,u)). [para(10313(a,1),12766(a,2,2))]. given #11745 (H,wt=25): 12768 x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)) = x * a(y,w,R(y,z,u)). [hyper(236,a,11402,a(flip),b,12767,a(flip)),flip(a)]. given #11746 (H,wt=22): 12769 x * a(R(y,z,u),w,R(y,z,u)) = x * a(y,w,R(y,z,u)). [para(320(a,1),12768(a,1,2,3))]. given #11747 (H,wt=18): 12770 a(R(x,y,z),u,R(x,y,z)) = a(x,u,R(x,y,z)). [hyper(12298,a,12769,a)]. given #11748 (H,wt=17): 12771 R(a(x,y,x),x * z,u) = a(x,y,R(x,z,u)). [hyper(12525,a,12770,a)]. given #11749 (H,wt=17): 12773 a(x,y,R(x,x \ z,u)) = R(a(x,y,x),z,u). [para(14(a,1),12771(a,1,2)),flip(a)]. given #11750 (H,wt=19): 12774 R(x,y,R(x,x \ z,u)) = x * R(a(x,y,x),z,u). [para(12773(a,1),10268(a,1,2)),flip(a)]. given #11751 (H,wt=22): 12772 a(x,R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(236,a,12763,a(flip),b,12770,a(flip))]. given #11752 (H,wt=22): 12777 a(x,x \ y,R(x,z,u)) * K(x,y) = K(x,R(x,z,u) \ y). [para(12772(a,1),10315(a,1,1))]. given #11753 (H,wt=22): 12778 K(x,y) * a(x,x \ y,R(x,z,u)) = K(x,R(x,z,u) \ y). [hyper(11716,a,12777,a)]. given #11754 (H,wt=23): 12775 R(T(x,y),z,R(x,x \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(12773(a,1),10378(a,1,2)),flip(a)]. given #11755 (H,wt=29): 12776 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(236,a,10349,a(flip),b,12774,a(flip))]. given #11756 (H,wt=25): 12779 R(T(x,y),z,R(x,T(x,y) \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(12042(a,1),12776(a,1,2,1)),flip(a)]. given #11757 (H,wt=25): 12780 R(T(x,y),z,R(x,T(x,y) \ u,w)) = R(T(x,y),z,R(x,x \ u,w)). [hyper(236,a,12775,a,b,12779,a)]. given #11758 (H,wt=36): 12782 (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(12780(a,1),11378(a,2,1,1))]. given #11759 (H,wt=30): 12783 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (a(x,z,R(x,x \ u,w)) * u) * w. [para(12720(a,1),12782(a,2,1))]. given #11760 (H,wt=28): 12785 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(12773(a,1),12783(a,2,1,1))]. given #11761 (H,wt=26): 12786 (R(T(x,y),z,x) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(8355(a,1),12785(a,1,1,1))]. given #11762 (H,wt=26): 12788 (T(x,y) * (L(T(x,y),z,x) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(12054(a,1),12786(a,1,1))]. given #11763 (H,wt=20): 12789 (R(a(x,y,x),z,u) * z) * u = (z * a(x,y,x)) * u. [para(12033(a,1),12788(a,1,1)),flip(a)]. given #11764 (H,wt=27): 12791 (R(a(x,y,x),z,u) * z) * u != w * v5 | w \ ((z * a(x,y,x)) * u) = v5. [para(12789(a,2),545(a,1))]. given #11765 (H,wt=28): 12790 ((a(x,y,x) * z) * u) \ ((z * a(x,y,x)) * u) = a(R(a(x,y,x),z,u),z,u). [hyper(72,a,12789,a(flip),b,680,a)]. given #11766 (H,wt=19): 12792 a(R(a(x,y,x),z,u),z,u) = K(z,T(a(x,y,x),u)). [hyper(11010,a,12790,a),flip(a)]. given #11767 (H,wt=17): 12793 a(R(a(x,y,x),z,u),z,u) = K(z,a(x,y,x)). [para(12297(a,1),12792(a,2,2))]. given #11768 (H,wt=11): 12795 K(x,a(y,z,y)) != u | 1 = u. [para(12793(a,1),10198(a,1))]. given #11769 (H,wt=12): 12794 a(R(a(x,y,x),z,u),z,u) = 1. [hyper(236,a,12296,a(flip),b,12793,a)]. given #11770 (H,wt=12): 12798 L(x,y,R(a(z,u,z),y,x)) = x. [hyper(33,a,12794,a)]. given #11771 (H,wt=31): 12799 (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(12798(a,1),11117(a,1,2))]. given #11772 (H,wt=23): 12800 (R(a(x,y,x),z,u) * (z * u)) / u = z * R(a(x,y,x),z,u). [para(12359(a,1),12799(a,1,1,2,1))]. given #11773 (H,wt=16): 12801 x * R(a(y,z,y),x,u) = a(y,z,y) * x. [hyper(476,a,12800,a),flip(a)]. given #11774 (H,wt=12): 12803 R(a(x,y,x),z,u) = a(x,y,x). [hyper(17,a,12292,a(flip),b,12801,a)]. given #11775 (H,wt=9): 12815 a(a(x,y,x),z,u) = 1. [para(12803(a,1),12794(a,1,1))]. given #11776 (H,wt=9): 12816 L(x,y,a(z,u,z)) = x. [para(12803(a,1),12798(a,1,3))]. given #11777 (H,wt=12): 12807 a(x,y,R(x,z,u)) = a(x,y,x). [hyper(236,a,12771,a(flip),b,12803,a(flip)),flip(a)]. given #11778 (H,wt=14): 12819 T(x,a(y,z,y)) = L(x,u,a(w,v5,w)). [hyper(236,a,12291,a,b,12816,a),flip(a)]. given #11779 (H,wt=12): 12826 L(x,y,a(z,u,z)) != w | w = x. [para(12819(a,1),12301(a,1))]. given #11780 (H,wt=15): 12811 a(x,y,x) != z | R(a(x,y,x),u,w) = z. [para(12803(a,1),10361(a,1))]. given #11781 (H,wt=15): 12824 a(x,y,R(x,z,u)) = a(x,y,L(x,w,v5)). [hyper(236,a,11407,a,b,12807,a)]. given #11782 (H,wt=16): 12808 a(x,y * K(z,y),x) = L(a(x,y,x),y,z). [hyper(236,a,12445,a(flip),b,12803,a(flip))]. given #11783 (H,wt=17): 12809 (a(x,y,x) * z) * u = a(x,y,x) * (z * u). [para(12803(a,1),113(a,1,1)),flip(a)]. given #11784 (H,wt=17): 12818 (a(x,y,x) \ z) \ u = z \ (a(x,y,x) * u). [hyper(521,a,12816,a),flip(a)]. given #11785 (H,wt=15): 12833 (a(x,y,x) \ z) \ x = z \ R(x,y,x). [para(9046(a,1),12818(a,2,2))]. given #11786 (H,wt=17): 12820 (a(x,y,x) * z) \ u = z \ (a(x,y,x) \ u). [hyper(236,a,227,a(flip),b,12816,a(flip)),flip(a)]. given #11787 (H,wt=17): 12821 (a(x,y,x) * z) / u = a(x,y,x) * (z / u). [para(12816(a,1),494(a,1,2))]. given #11788 (H,wt=17): 12828 a(x,T(y,x),L(x,z,u)) = a(x,y,R(x,w,v5)). [hyper(11897,a,12824,a),flip(a)]. given #11789 (H,wt=17): 12831 (x * a(y,z,y)) * u = a(y,z,y) * (x * u). [para(12292(a,1),12809(a,1,1))]. given #11790 (H,wt=15): 12839 (1 / x) * a(y,z,y) = a(y,z,y) / x. [hyper(74,a,64,a(flip),b,12831,a),flip(a)]. given #11791 (H,wt=17): 12834 (x * L(y,z,y)) \ y = (x * y) \ R(y,z,y). [para(12287(a,1),12833(a,1,1))]. given #11792 (H,wt=17): 12835 a(x,y,x) * ((a(x,y,x) \ z) / u) = z / u. [para(14(a,1),12821(a,1,1)),flip(a)]. given #11793 (H,wt=17): 12841 (a(x,y,x) \ z) / u = a(x,y,x) \ (z / u). [hyper(80,a,12835,a),flip(a)]. given #11794 (H,wt=19): 12825 K(x,R(x,y,z) \ u) = K(x,u) * a(x,x \ u,x). [para(12807(a,1),12778(a,1,2)),flip(a)]. given #11795 (H,wt=14): 12843 K(x,R(x,y,z) \ u) = K(x,x \ u). [hyper(236,a,9076,a(flip),b,12825,a)]. given #11796 (H,wt=15): 12846 K(x,x \ (y * z)) = K(x,(x \ y) * z). [para(463(a,1),12843(a,1,2)),flip(a)]. given #11797 (H,wt=15): 12847 K(x,(x \ y) * z) = K(x,y * (x \ z)). [hyper(10634,a,12846,a),flip(a)]. given #11798 (H,wt=19): 12832 a(x,y,x) * ((x \ z) * u) = (L(x,y,x) \ z) * u. [para(12310(a,1),12809(a,1,1)),flip(a)]. given #11799 (H,wt=19): 12837 a(x,x \ (y * x),L(x,z,u)) = a(x,y,R(x,w,v5)). [para(32(a,1),12828(a,1,2))]. given #11800 (H,wt=19): 12842 (x / y) * (z \ L(z,u,z)) = (a(z,u,z) \ x) / y. [hyper(236,a,12324,a,b,12841,a),flip(a)]. given #11801 (H,wt=20): 12827 x \ (a(y,z,y) * u) != w | (a(y,z,y) \ x) \ u = w. [para(450(a,1),12826(a,1)),flip(b)]. given #11802 (H,wt=20): 12840 a(x,y,x) * z != (u * a(x,y,x)) * w | u * w = z. [para(12831(a,2),19(a,1)),flip(a)]. given #11803 (H,wt=21): 12849 (L(x,y,x) * (x \ z)) / u = (z / u) * (x \ L(x,y,x)). [para(12323(a,2),12842(a,2,1)),flip(a)]. given #11804 (H,wt=21): 12850 ((x * y) / z) * (x \ L(x,u,x)) = (L(x,u,x) * y) / z. [para(13(a,1),12849(a,1,1,2)),flip(a)]. given #11805 (H,wt=19): 12851 a(x,y,x) \ ((x * z) / u) = (L(x,y,x) * z) / u. [hyper(12352,a,12850,a)]. given #11806 (H,wt=22): 12845 K(x,x * ((R(x,y,z) * u) \ w)) = K(x,x \ ((x \ u) \ w)). [hyper(11634,a,12843,a)]. given #11807 (H,wt=18): 12852 K(x,x * ((R(x,y,z) * u) \ w)) = K(x,u \ w). [hyper(236,a,10639,a(flip),b,12845,a)]. given #11808 (H,wt=14): 12853 K(x,y \ R(x,z,u)) = K(x,y \ x). [hyper(10852,a,12852,a),flip(a)]. given #11809 (H,wt=17): 12855 K(R(x,y,z),u \ x) = K(x,R(u,y,z) \ x). [hyper(236,a,12235,a(flip),b,12853,a(flip)),flip(a)]. given #11810 (H,wt=19): 12854 K(x,x * (((x * y) * z) \ u)) = K(x,(y * z) \ u). [para(113(a,1),12852(a,1,2,2,1))]. given #11811 (H,wt=24): 12838 a(x,y,x) \ T(z * a(x,y,x),u) = z * K(z * a(x,y,x),u). [hyper(4891,a,12831,a)]. given #11812 (H,wt=25): 12848 a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = a(x,u,R(x,w,v5)). [hyper(236,a,10913,a,b,12837,a(flip)),flip(a)]. given #11813 (H,wt=23): 12858 a(x,y,R(x,z,u)) = K(y * x,L(x,w,v5)) * K(L(x,w,v5),y). [hyper(236,a,11274,a(flip),b,12848,a(flip))]. given #11814 (H,wt=25): 12857 K(x,R(R(x / y,y,L(K(z,x),u,w)),v5,v6) \ x) = K(R(x,v5,v6),y). [hyper(236,a,11850,a(flip),b,12855,a(flip))]. given #11815 (H,wt=21): 12861 R(R(K(x,y),y,L(K(z,x),u,w)),v5,v6) = K(R(x,v5,v6),y). [hyper(236,a,11924,a(flip),b,12857,a(flip)),flip(a)]. given #11816 (H,wt=13): 12863 R(K(x,y),z,u) = K(R(x,z,u),y). [para(6817(a,1),12861(a,1,1))]. given #11817 (H,wt=12): 12864 R(K(x,y),K(x,z),u) = K(x,y). [para(4849(a,1),12863(a,2,1))]. given #11818 (H,wt=15): 12865 R(K(x,y),z,u) \ 1 = K(y,R(x,z,u)). [para(12863(a,2),5093(a,1,1))]. given #11819 (H,wt=13): 12871 R(K(x,y),z,u) = K(x,R(y,z,u)). [hyper(6806,a,12865,a)]. given #11820 (H,wt=13): 12874 K(R(x,y,z),u) = K(x,R(u,y,z)). [hyper(236,a,12863,a(flip),b,12871,a(flip)),flip(a)]. given #11821 (H,wt=15): 12877 x * R(K(x,y),z,u) = T(x,R(y,z,u)). [para(12871(a,2),4887(a,2,2)),flip(a)]. given #11822 (H,wt=16): 12872 K(x,R(y,z,u)) != w | R(K(x,y),z,u) = w. [para(12865(a,1),6806(a,1))]. given #11823 (H,wt=17): 12873 K(x,R(y,z,u)) * (w \ w) = R(K(x,y),z,u). [hyper(236,a,126,a,b,12871,a),flip(a)]. given #11824 (H,wt=16): 12888 R(K(x,y),z,u) != w | K(x,R(y,z,u)) = w. [para(12873(a,1),86(a,1))]. given #11825 (H,wt=13): 12889 K(x,y) != z | K(x,R(y,x,u)) = z. [para(3968(a,1),12888(a,1))]. given #11826 (H,wt=16): 12891 K(R(x,y,z),u) != w | K(x,R(u,y,z)) = w. [para(12863(a,1),12888(a,1))]. given #11827 (H,wt=17): 12881 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z,u). [para(12871(a,1),12536(a,1,2))]. given #11828 (H,wt=15): 12893 a(K(x,y),z * y,u) = a(K(x,y),z,u). [hyper(12550,a,12881,a)]. given #11829 (H,wt=18): 12875 K(x,(y * z) * (z \ 1)) = R(K(x,y),z,z \ 1). [para(189(a,2),12871(a,2,2)),flip(a)]. given #11830 (H,wt=18): 12892 L(K(x,y),z,y * x) != u | K(x,R(y,x,w)) = u. [para(10698(a,2),12889(a,1))]. given #11831 (H,wt=19): 12870 (K(x,y) * K(x,z)) * u = K(x,y) * (K(x,z) * u). [para(12864(a,1),113(a,1,1)),flip(a)]. given #11832 (H,wt=10): 12895 L(x,K(y,z),K(y,u)) = x. [hyper(436,a,12870,a)]. given #11833 (H,wt=19): 12894 K(a(K(x,y),z * y,u),w) = a(K(y,K(x,w)),z,u). [para(12893(a,2),12582(a,2,1)),flip(a)]. given #11834 (H,wt=19): 12896 (K(x,y) * K(x,z)) \ u = K(z,x) * (K(y,x) * u). [hyper(236,a,5953,a(flip),b,12895,a(flip)),flip(a)]. given #11835 (H,wt=19): 12897 a(K(x,K(y,z)),u * y,w) = a(K(y,K(x,z)),u,w). [hyper(236,a,12584,a,b,12894,a(flip)),flip(a)]. given #11836 (H,wt=20): 12867 R(K(x,K(y,z)),u,w) != v5 | K(y,K(z,R(x,u,w))) = v5. [para(12863(a,2),7960(a,1))]. given #11837 (H,wt=20): 12882 K(x,y) * K(y,R(x,z,u)) != w | a(K(y,x),z,u) = w. [para(12871(a,1),12547(a,1,2))]. given #11838 (H,wt=18): 12899 a(K(x,y),z * y,u) != w | a(K(x,y),z,u) = w. [para(12543(a,1),12882(a,1))]. given #11839 (H,wt=20): 12890 R(K(x,K(y,z)),u,w) != v5 | K(y,R(K(x,z),u,w)) = v5. [para(7919(a,1),12888(a,1,1))]. given #11840 (H,wt=21): 12862 K(K(R(x,y,z),u) * w,T(x,v5)) != v6 | K(w,T(x,v5)) = v6. [para(12857(a,1),8420(a,1,1,1))]. given #11841 (H,wt=21): 12886 K(x,(y * z) * (z \ 1)) != u | R(K(x,y),z,z \ 1) = u. [para(189(a,2),12872(a,1,2))]. given #11842 (H,wt=22): 12883 K(R(x,y,z),R(x * y,y * z,u)) = K(x,R(x * y,z,u)). [hyper(6878,a,12874,a),flip(a)]. given #11843 (H,wt=22): 12885 T(x,x * y) * a(K(x,y),z,u) = L(T(x,R(y,z,u)),y,x). [para(12877(a,1),12564(a,2,1))]. given #11844 (H,wt=22): 12900 K(x,R(R(x * y,y * z,u),y,z)) = K(x,R(x * y,z,u)). [hyper(12891,a,12883,a)]. given #11845 (H,wt=23): 12868 R(x * K(R(y,z,u),x),w,x) \ R(x,w,x) = R(K(x,y),z,u). [para(12863(a,1),9993(a,1,1,1,2))]. given #11846 (H,wt=24): 12887 K(x,K(y,R(z,u,w) \ 1)) != v5 | R(K(x,K(y,z \ 1)),u,w) = v5. [para(6791(a,1),12872(a,1,2))]. given #11847 (H,wt=25): 12898 K(x,y) * (K(z,y) * K(y,y \ 1)) = ((y \ K(y,z)) * T(y,x)) \ 1. [hyper(236,a,6139,a(flip),b,12896,a(flip))]. given #11848 (H,wt=23): 12901 ((x \ K(x,y)) * T(x,z)) \ 1 = K(z,x) * (x * (K(y,x) / x)). [para(4044(a,1),12898(a,1,2)),flip(a)]. given #11849 (H,wt=23): 12902 ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(z,x) * (K(y,x) / x)). [hyper(236,a,5363,a(flip),b,12901,a)]. given #11850 (H,wt=21): 12903 ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(y,x) / T(x,z)). [para(8459(a,1),12902(a,2,2))]. given #11851 (H,wt=28): 12859 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(236,a,12597,a,b,12858,a),flip(a)]. given #11852 (H,wt=23): 12906 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),12859(a,1,2))]. given #11853 (H,wt=18): 12907 a(L(x,y,z),u,L(x,y,z)) = a(x,u,R(x,w,v5)). [hyper(9763,a,12906,a)]. given #11854 (H,wt=15): 12908 a(L(x,y,z),u,L(x,y,z)) = a(x,u,x). [hyper(236,a,12807,a(flip),b,12907,a)]. given #11855 (H,wt=12): 12909 L(a(x,y,x),z,u) = a(x,y,x). [hyper(236,a,12488,a(flip),b,12908,a(flip)),flip(a)]. given #11856 (H,wt=13): 12912 a(x,y * K(z,y),x) = a(x,y,x). [hyper(236,a,12808,a,b,12909,a(flip)),flip(a)]. given #11857 (H,wt=11): 12918 a(x,T(y,z),x) = a(x,y,x). [para(4901(a,1),12912(a,1,2)),flip(a)]. given #11858 (H,wt=13): 12919 a(x,y / z,x) = a(x,z \ y,x). [para(4903(a,1),12912(a,1,2))]. given #11859 (H,wt=17): 12914 (x * y) * a(z,u,z) = x * (y * a(z,u,z)). [para(12909(a,1),103(a,1,2))]. given #11860 (H,wt=9): 12927 R(x,y,a(z,u,z)) = x. [hyper(7075,a,12914,a)]. given #11861 (H,wt=11): 12932 R(x,y,a(z,u,z)) = x * 1. [hyper(236,a,12,a,b,12927,a)]. given #11862 (H,wt=12): 12934 R(x,y,a(z,u,z)) != w | w = x. [para(12932(a,2),83(a,1))]. given #11863 (H,wt=13): 12935 R(x,y,K(z,1 / z)) != u | u = x. [para(1816(a,1),12934(a,1,3))]. given #11864 (H,wt=17): 12926 a(x,y,x) * (z * u) = z * (u * a(x,y,x)). [hyper(12305,a,12914,a)]. given #11865 (H,wt=17): 12928 x \ (y * a(z,u,z)) = (x \ y) * a(z,u,z). [hyper(587,a,12914,a)]. given #11866 (H,wt=17): 12936 x \ (a(y,z,y) * u) = (x \ u) * a(y,z,y). [hyper(551,a,12926,a)]. given #11867 (H,wt=17): 12938 a(x,y,x) * (z * u) = z * (a(x,y,x) * u). [para(12292(a,2),12926(a,2,2))]. given #11868 (H,wt=17): 12940 x \ (a(y,z,y) * u) = a(y,z,y) * (x \ u). [hyper(236,a,12292,a,b,12936,a)]. given #11869 (H,wt=17): 12942 (x * a(y,z,y)) * u = x * (a(y,z,y) * u). [hyper(12840,a,12938,a),flip(a)]. given #11870 (H,wt=9): 12951 L(x,a(y,z,y),u) = x. [hyper(436,a,12942,a)]. given #11871 (H,wt=15): 12955 L(x,a(y,z,y),u) = L(x,w,a(v5,v6,v5)). [hyper(236,a,12816,a,b,12951,a)]. given #11872 (H,wt=12): 12956 L(x,a(y,z,y),u) != w | w = x. [para(12955(a,2),326(a,1))]. given #11873 (H,wt=17): 12943 a(x,y,x) \ (z * u) = z * (a(x,y,x) \ u). [hyper(72,a,88,a(flip),b,12938,a)]. given #11874 (H,wt=17): 12944 x * (a(y,z,y) \ (x \ u)) = a(y,z,y) \ u. [hyper(72,a,58,a(flip),b,12938,a),flip(a)]. given #11875 (H,wt=15): 12959 a(x,y,x) \ (z \ x) = z \ L(x,y,x). [hyper(72,a,9119,a(flip),b,12944,a),flip(a)]. given #11876 (H,wt=17): 12947 (a(x,y,x) \ z) \ u = a(x,y,x) * (z \ u). [hyper(12827,a,12940,a)]. given #11877 (H,wt=17): 12953 (a(x,y,x) \ z) * (a(x,y,x) * u) = z * u. [para(12289(a,1),12942(a,1,1)),flip(a)]. given #11878 (H,wt=17): 12958 a(x,y,x) \ (z \ u) = z \ (a(x,y,x) \ u). [hyper(80,a,12944,a),flip(a)]. given #11879 (H,wt=17): 12961 (a(x,y,x) \ z) * u = z * (a(x,y,x) \ u). [hyper(307,a,12953,a)]. given #11880 (H,wt=17): 12962 x / (a(y,z,y) * u) = a(y,z,y) \ (x / u). [hyper(74,a,16,a(flip),b,12953,a)]. given #11881 (H,wt=15): 12975 a(x,y,x) \ (z / x) = z / R(x,y,x). [para(9046(a,1),12962(a,1,2)),flip(a)]. given #11882 (H,wt=17): 12963 x / (a(y,z,y) \ u) = a(y,z,y) * (x / u). [hyper(554,a,12961,a)]. given #11883 (H,wt=17): 12976 (L(x,y,x) * z) / x = (x * z) / R(x,y,x). [hyper(236,a,12851,a(flip),b,12975,a(flip)),flip(a)]. given #11884 (H,wt=17): 12977 L(x,y,x) * (z / x) = x * (z / R(x,y,x)). [para(12975(a,1),12309(a,1,2)),flip(a)]. given #11885 (H,wt=18): 12931 L(T(x,y),y,a(z,u,z)) = T(x,y * a(z,u,z)). [hyper(12482,a,12927,a)]. given #11886 (H,wt=12): 12980 T(x,y * a(z,u,z)) = T(x,y). [hyper(12826,a,12931,a)]. given #11887 (H,wt=12): 12989 T(x,a(y,z,y) \ u) = T(x,u). [para(12289(a,1),12980(a,1,2)),flip(a)]. given #11888 (H,wt=12): 12990 T(x,a(y,z,y) * u) = T(x,u). [para(12292(a,2),12980(a,1,2))]. given #11889 (H,wt=13): 12985 T(x,T(y,z) / z) = T(x,z \ y). [para(9065(a,1),12980(a,1,2))]. given #11890 (H,wt=13): 12988 T(x,T(y * z,y)) = T(x,z * y). [para(11414(a,1),12980(a,1,2))]. given #11891 (H,wt=13): 12992 T(x,(y \ z) * T(y,z)) = T(x,z). [para(12330(a,1),12989(a,1,2))]. given #11892 (H,wt=13): 12997 T(x,y / T(z,y)) = T(x,z \ y). [para(4115(a,1),12985(a,1,2))]. given #11893 (H,wt=13): 13003 T(x,(y \ z) * y) = T(x,T(z,y)). [para(14(a,1),12988(a,1,2,1)),flip(a)]. given #11894 (H,wt=14): 12983 K(x,y * a(z,u,z)) = x \ T(x,y). [hyper(72,a,12980,a(flip),b,4887,a(flip)),flip(a)]. given #11895 (H,wt=14): 12986 T(x,y * L(z,u,z)) = T(x,y * z). [para(9118(a,1),12980(a,1,2)),flip(a)]. given #11896 (H,wt=14): 12987 T(x,y * R(z,u,z)) = T(x,y * z). [para(11408(a,1),12980(a,1,2))]. given #11897 (H,wt=14): 12991 T(x,a(y,z,y) \ u) = x * K(x,u). [hyper(236,a,4887,a(flip),b,12989,a)]. given #11898 (H,wt=12): 13011 K(x,a(y,z,y) \ u) = K(x,u). [hyper(4954,a,12991,a)]. given #11899 (H,wt=12): 13012 K(x,a(y,z,y) * u) = K(x,u). [para(13(a,1),13011(a,1,2)),flip(a)]. given #11900 (H,wt=13): 13017 K(x,T(y * z,y)) = K(x,z * y). [para(9061(a,1),13012(a,1,2))]. given #11901 (H,wt=13): 13030 K(T(x,y),z * y) = K(x,y * z). [hyper(8173,a,13017,a),flip(a)]. given #11902 (H,wt=13): 13033 K(x,T(y * z,z)) = K(x,z * y). [hyper(236,a,9345,a,b,13017,a(flip)),flip(a)]. given #11903 (H,wt=13): 13034 K(x,(y \ z) * y) = K(x,T(z,y)). [para(14(a,1),13017(a,1,2,1)),flip(a)]. given #11904 (H,wt=13): 13038 K(x,y * (z / y)) = K(x,T(z,y)). [para(16(a,1),13033(a,1,2,1)),flip(a)]. given #11905 (H,wt=14): 12994 T(x,y / R(z,u,z)) = T(x,y / z). [para(12975(a,1),12989(a,1,2))]. given #11906 (H,wt=14): 13013 K(x,(y \ R(y,z,y)) \ u) = K(x,u). [para(9036(a,1),13011(a,1,2,1))]. given #11907 (H,wt=14): 13014 K(x,L(y,z,y) \ u) = K(x,y \ u). [para(12294(a,1),13011(a,1,2)),flip(a)]. given #11908 (H,wt=13): 13047 K(x,y / T(z,y)) = K(x,z \ y). [para(4364(a,1),13014(a,1,2))]. given #11909 (H,wt=13): 13050 K(x,T(y,z) / z) = K(x,z \ y). [para(4115(a,2),13047(a,1,2))]. given #11910 (H,wt=14): 13018 K(x,y * R(z,u,z)) = K(x,y * z). [para(12311(a,1),13012(a,1,2))]. given #11911 (H,wt=14): 13019 K(x,R(y,z,y) * u) = K(x,y * u). [para(12342(a,1),13012(a,1,2))]. given #11912 (H,wt=15): 12981 T(x,y * a(z,u,z)) != w | T(x,y) = w. [para(12931(a,1),12826(a,1)),flip(b)]. given #11913 (H,wt=15): 12984 T(x,(y * z) * y) = T(x,y * (z * y)). [para(91(a,1),12980(a,1,2))]. given #11914 (H,wt=15): 12998 K(T(x,y) / y,z) = z / T(z,y \ x). [para(12985(a,1),4826(a,2,2))]. given #11915 (H,wt=13): 13060 K(T(x,y) / y,z) = K(y \ x,z). [hyper(236,a,4826,a,b,12998,a)]. given #11916 (H,wt=15): 13001 T(x,T(y * z,y)) = x * K(x,z * y). [hyper(236,a,4887,a(flip),b,12988,a)]. given #11917 (H,wt=15): 13002 T(T(x,K(y,z)),z * y) = T(x,y * z). [hyper(236,a,9307,a,b,12988,a(flip)),flip(a)]. given #11918 (H,wt=15): 13008 K(x,y * a(z,u,z)) != w | K(x,y) = w. [para(12983(a,2),4956(a,1))]. given #11919 (H,wt=15): 13028 K(x / y,y * z) = K(y \ x,z * y). [hyper(8184,a,13017,a)]. given #11920 (H,wt=15): 13029 K(x / y,z * y) = K(y \ x,y * z). [hyper(8178,a,13017,a),flip(a)]. given #11921 (H,wt=15): 13031 K(x / y,x * z) = K(y \ x,z * x). [hyper(8171,a,13017,a)]. given #11922 (H,wt=15): 13035 K(x,y * z) * y = y * K(x,z * y). [para(13017(a,1),7281(a,1,2)),flip(a)]. given #11923 (H,wt=15): 13037 L(x,y * z,K(u,z * y)) != w | w = x. [para(13030(a,1),5595(a,1,3))]. given #11924 (H,wt=15): 13058 T(x,a(y,z,y) * u) != w | T(x,u) = w. [para(12292(a,2),12981(a,1,2))]. given #11925 (H,wt=15): 13063 T(T(x,y * z),K(y,z)) = T(x,z * y). [hyper(7991,a,13002,a)]. given #11926 (H,wt=15): 13064 T(T(x,K(y,z)),y * z) = T(x,z * y). [para(7981(a,1),13002(a,1,1))]. given #11927 (H,wt=15): 13067 K(x,a(y,z,y) * u) != w | K(x,u) = w. [para(12292(a,2),13008(a,1,2))]. given #11928 (H,wt=15): 13068 K(1 / x,y * x) = K(1 / x,x * y). [hyper(236,a,3244,a,b,13028,a),flip(a)]. given #11929 (H,wt=16): 12993 T(x,y * (a(z,u,z) \ w)) = T(x,y * w). [para(12943(a,1),12989(a,1,2))]. given #11930 (H,wt=14): 13077 T(x,L(y,z,y) * u) = T(x,y * u). [para(12309(a,1),12993(a,1,2))]. given #11931 (H,wt=16): 12996 T(x,y * (a(z,u,z) * w)) = T(x,y * w). [para(12938(a,1),12990(a,1,2))]. given #11932 (H,wt=16): 13015 K(x,y * (a(z,u,z) \ w)) = K(x,y * w). [para(12943(a,1),13011(a,1,2))]. given #11933 (H,wt=16): 13016 K(x,y \ (a(z,u,z) \ w)) = K(x,y \ w). [para(12958(a,1),13011(a,1,2))]. given #11934 (H,wt=14): 13084 K(x,y \ R(z,u,z)) = K(x,y \ z). [para(9048(a,1),13016(a,1,2,2)),flip(a)]. given #11935 (H,wt=16): 13020 K(x,(a(y,z,y) * u) / w) = K(x,u / w). [para(12821(a,2),13012(a,1,2))]. given #11936 (H,wt=16): 13022 K(x,y * (a(z,u,z) * w)) = K(x,y * w). [para(12938(a,1),13012(a,1,2))]. given #11937 (H,wt=16): 13023 K(x,y \ (a(z,u,z) * w)) = K(x,y \ w). [para(12940(a,2),13012(a,1,2))]. given #11938 (H,wt=16): 13032 K(x,L(y \ 1,y,z) \ z) = K(x,y * z). [hyper(7830,a,13017,a)]. given #11939 (H,wt=16): 13057 T(x,T(y * z,y)) != u | T(x,z * y) = u. [para(11414(a,1),12981(a,1,2))]. given #11940 (H,wt=16): 13061 K(T(x,y) / y,z) != u | K(y \ x,z) = u. [para(12998(a,2),4928(a,1))]. given #11941 (H,wt=16): 13065 K(x,T(y,z) / z) != u | K(x,z \ y) = u. [para(9065(a,1),13008(a,1,2))]. given #11942 (H,wt=16): 13066 K(x,T(y * z,y)) != u | K(x,z * y) = u. [para(11414(a,1),13008(a,1,2))]. given #11943 (H,wt=16): 13086 K(x,(a(y,z,y) * u) \ w) = K(x,u \ w). [para(12820(a,2),13016(a,1,2))]. given #11944 (H,wt=16): 13096 K(x / T(y,x),z) != u | K(y \ x,z) = u. [para(4115(a,1),13061(a,1,1))]. given #11945 (H,wt=16): 13097 K(x,y / T(z,y)) != u | K(x,z \ y) = u. [para(4115(a,1),13065(a,1,2))]. given #11946 (H,wt=16): 13098 K(x,T(y * z,z)) != u | K(x,z * y) = u. [para(9345(a,2),13066(a,1))]. given #11947 (H,wt=17): 12995 T(x,K(y * z,y) * u) = T(x,K(z,y) * u). [para(12281(a,1),12990(a,1,2))]. given #11948 (H,wt=17): 12999 K(x,y * z) * T(x,y) = T(T(x,y),z * y). [hyper(8246,a,12988,a)]. given #11949 (H,wt=17): 13005 K(x,y) * T(x,z * y) = T(T(x,y),y * z). [para(12988(a,1),7449(a,1,2))]. given #11950 (H,wt=17): 13007 T(x,T(T(y * z,u),y)) = T(x,T(z * y,u)). [para(4634(a,1),13003(a,1,2)),flip(a)]. given #11951 (H,wt=13): 13107 T(x,T(y * z,z)) = T(x,z * y). [hyper(8242,a,13007,a),flip(a)]. given #11952 (H,wt=13): 13109 T(x,y * (z / y)) = T(x,T(z,y)). [para(16(a,1),13107(a,1,2,1)),flip(a)]. given #11953 (H,wt=15): 13112 T(x,T(y * z,y)) = T(x,T(y,z) * z). [para(3875(a,2),13109(a,1,2)),flip(a)]. given #11954 (H,wt=13): 13113 T(x,T(y,z) * z) = T(x,z * y). [hyper(13057,a,13112,a),flip(a)]. given #11955 (H,wt=15): 13114 T(x,T(y,z) * z) = x * K(x,z * y). [hyper(236,a,13001,a(flip),b,13112,a(flip))]. given #11956 (H,wt=13): 13117 K(x,T(y,z) * z) = K(x,z * y). [hyper(4954,a,13114,a)]. given #11957 (H,wt=16): 13108 T(x,T(y * z,z)) != u | T(x,z * y) = u. [para(13007(a,1),8242(a,1))]. given #11958 (H,wt=16): 13115 T(x,T(y,z) * z) != u | T(x,z * y) = u. [para(13112(a,1),13057(a,1))]. given #11959 (H,wt=17): 13009 T(x,y * T(z,z * u)) = T(x,y * T(z,u)). [para(7537(a,1),12986(a,1,2,2))]. given #11960 (H,wt=17): 13010 T(x,y * T(z,z \ u)) = T(x,y * T(z,u)). [para(4297(a,1),12987(a,1,2,2))]. given #11961 (H,wt=17): 13024 K(x,T((1 / y) * z,y)) = K(x,z * (1 / y)). [hyper(9373,a,13017,a)]. given #11962 (H,wt=17): 13025 K(x,T(y * (z \ x),z)) = K(x,(z \ x) * y). [hyper(9370,a,13017,a)]. given #11963 (H,wt=17): 13026 K(x,T((y \ 1) * z,y)) = K(x,z * (y \ 1)). [hyper(9368,a,13017,a)]. given #11964 (H,wt=17): 13027 K(x \ (y \ x),x * z) = K(y \ 1,z * x). [hyper(8400,a,13017,a)]. given #11965 (H,wt=17): 13042 K(x,T(T(y * z,u),y)) = K(x,T(z * y,u)). [para(4634(a,1),13034(a,1,2)),flip(a)]. given #11966 (H,wt=17): 13043 K(x,T(T(y * z,u),z)) = K(x,T(z * y,u)). [para(4624(a,1),13038(a,1,2)),flip(a)]. given #11967 (H,wt=17): 13044 T(x,y / ((z \ u) \ u)) = T(x,y / T(z,u)). [para(8385(a,1),12994(a,1,2,2))]. given #11968 (H,wt=17): 13046 K(x,T(y / z,y) \ u) = K(x,(z \ y) \ u). [para(4218(a,1),13014(a,1,2,1))]. given #11969 (H,wt=17): 13049 K(x,((y \ z) \ z) \ u) = K(x,T(y,z) \ u). [para(12116(a,1),13014(a,1,2,1)),flip(a)]. given #11970 (H,wt=17): 13052 K(x,y * T(z,z \ u)) = K(x,y * T(z,u)). [para(4297(a,1),13018(a,1,2,2))]. given #11971 (H,wt=17): 13053 K(x,y * ((z \ u) \ u)) = K(x,y * T(z,u)). [para(8385(a,1),13018(a,1,2,2))]. given #11972 (H,wt=17): 13055 K(x,T(y,y * z) * u) = K(x,T(y,z) * u). [para(4277(a,1),13019(a,1,2,1)),flip(a)]. given #11973 (H,wt=17): 13056 K(x,((y \ z) \ z) * u) = K(x,T(y,z) * u). [para(8385(a,1),13019(a,1,2,1))]. given #11974 (H,wt=17): 13062 T(x * K(x / y,z),x) = x * K(y \ x,z). [para(13060(a,1),10087(a,2,2))]. given #11975 (H,wt=17): 13078 K(x,y * K(z,z * u)) = K(x,y * K(z,u)). [para(9062(a,1),13015(a,1,2,2))]. given #11976 (H,wt=17): 13079 K(x,y * K(z \ u,z)) = K(x,y * K(u,z)). [para(9035(a,1),13015(a,1,2,2))]. given #11977 (H,wt=17): 13085 K(x,y \ K(z \ u,z)) = K(x,y \ K(u,z)). [para(9035(a,1),13016(a,1,2,2))]. given #11978 (H,wt=17): 13087 K(x,y \ T(z,z * u)) = K(x,y \ T(z,u)). [para(4277(a,1),13084(a,1,2,2)),flip(a)]. given #11979 (H,wt=17): 13088 K(x,y \ T(z,z \ u)) = K(x,y \ T(z,u)). [para(4297(a,1),13084(a,1,2,2))]. given #11980 (H,wt=17): 13089 K(x,y \ ((z \ u) \ u)) = K(x,y \ T(z,u)). [para(8385(a,1),13084(a,1,2,2))]. given #11981 (H,wt=17): 13092 K(x,y \ T(z * u,z)) = K(x,y \ (u * z)). [para(9061(a,1),13023(a,1,2,2))]. given #11982 (H,wt=17): 13093 K(x,y \ K(z,z \ u)) = K(x,y \ K(z,u)). [para(9078(a,1),13023(a,1,2,2))]. given #11983 (H,wt=17): 13099 K(x,K(y * z,y) \ u) = K(x,K(z,y) \ u). [para(9053(a,1),13086(a,1,2,1))]. given #11984 (H,wt=17): 13100 K(x,T(y * z,y) \ u) = K(x,(z * y) \ u). [para(9061(a,1),13086(a,1,2,1))]. given #11985 (H,wt=17): 13106 T(x,K(y \ z,y) * u) = T(x,K(z,y) * u). [para(14(a,1),12995(a,1,2,1,1)),flip(a)]. given #11986 (H,wt=17): 13132 K(x \ y,z * T(x,y)) = K(x \ y,z * x). [hyper(8501,a,13052,a),flip(a)]. given #11987 (H,wt=17): 13134 K(x,y * T(z / u,z)) = K(x,y * (u \ z)). [para(65(a,1),13053(a,1,2,2,1)),flip(a)]. given #11988 (H,wt=17): 13135 K(x,T(y / z,y) * u) = K(x,(z \ y) * u). [para(65(a,1),13056(a,1,2,1,1)),flip(a)]. given #11989 (H,wt=17): 13137 K(x \ y,z \ T(x,y)) = K(x \ y,z \ x). [hyper(8502,a,13088,a),flip(a)]. given #11990 (H,wt=17): 13140 K(x,K(y \ z,y) \ u) = K(x,K(z,y) \ u). [para(14(a,1),13099(a,1,2,1,1)),flip(a)]. given #11991 (H,wt=17): 13142 K(x,((y \ z) * y) \ u) = K(x,T(z,y) \ u). [para(14(a,1),13100(a,1,2,1,1)),flip(a)]. given #11992 (H,wt=13): 13146 K(x,T(y,z) \ z) = K(x,z / y). [hyper(8554,a,13142,a),flip(a)]. given #11993 (H,wt=16): 13147 K(x,T(y,z) \ z) != u | K(x,z / y) = u. [para(13142(a,1),8554(a,1))]. given #11994 (H,wt=16): 13148 K(x,y \ T(z,y)) != u | K(x,z / y) = u. [para(4117(a,1),13147(a,1,2))]. given #11995 (H,wt=18): 13004 T(x,T(y * z,y)) != u | x * K(x,z * y) = u. [para(12988(a,2),4981(a,1))]. given #11996 (H,wt=18): 13021 K(x,(L(y,z,y) \ u) * w) = K(x,(y \ u) * w). [para(12832(a,1),13012(a,1,2))]. given #11997 (H,wt=17): 13150 K(x,(y / T(z,y)) * u) = K(x,(z \ y) * u). [para(4364(a,1),13021(a,1,2,1))]. given #11998 (H,wt=17): 13152 K(x,(T(y,z) / z) * u) = K(x,(z \ y) * u). [para(4115(a,2),13150(a,1,2,1))]. given #11999 (H,wt=18): 13036 K(x \ y,z * x) != u | K(y / x,x * z) = u. [para(13017(a,1),8184(a,1))]. given #12000 (H,wt=18): 13039 x * K(y,x * z) != u | K(y,z * x) * x = u. [para(13033(a,1),7283(a,1,2))]. given #12001 (H,wt=18): 13040 K(x / y,y * z) != u | K(y \ x,z * y) = u. [para(13033(a,1),8178(a,1))]. given #12002 (H,wt=18): 13074 T(T(x,y * z),K(y,z)) != u | T(x,z * y) = u. [para(13063(a,1),5847(a,1,1)),flip(b)]. given #12003 (H,wt=18): 13080 K(x,y * (z * L(u,w,u))) = K(x,y * (z * u)). [para(12287(a,1),13015(a,1,2,2))]. given #12004 (H,wt=18): 13081 K(x,y * (L(z,u,z) \ w)) = K(x,y * (z \ w)). [para(12294(a,1),13015(a,1,2,2)),flip(a)]. given #12005 (H,wt=17): 13157 K(x,y * (z / T(u,z))) = K(x,y * (u \ z)). [para(4364(a,1),13081(a,1,2,2))]. given #12006 (H,wt=17): 13159 K(x,y * (T(z,u) / u)) = K(x,y * (u \ z)). [para(4115(a,2),13157(a,1,2,2))]. given #12007 (H,wt=18): 13083 K(x,y * (z \ L(u,w,u))) = K(x,y * (z \ u)). [para(12959(a,1),13015(a,1,2,2))]. given #12008 (H,wt=18): 13090 K(x,(y / L(z,u,z)) / w) = K(x,(y / z) / w). [para(12312(a,1),13020(a,1,2,1))]. given #12009 (H,wt=18): 13095 T(T(x,K(y,z)),z * y) != u | T(x,y * z) = u. [para(9307(a,2),13057(a,1))]. given #12010 (H,wt=18): 13101 K(x,(y * (z \ R(z,u,z))) \ w) = K(x,y \ w). [para(12319(a,2),13086(a,1,2,1))]. given #12011 (H,wt=18): 13127 K(x,T(y * x,z)) != u | K(x,T(x * y,z)) = u. [para(13042(a,1),5001(a,1))]. given #12012 (H,wt=18): 13139 K(x,y \ (z * x)) != u | K(x,y \ (x * z)) = u. [para(13092(a,1),8502(a,1))]. given #12013 (H,wt=19): 12922 a(x,R(y / z,u,w),x) = a(x,R(z \ y,u,w),x). [para(185(a,1),12918(a,1,2)),flip(a)]. given #12014 (H,wt=19): 12930 (x * (y \ z)) * a(y,u,y) = x * (L(y,u,y) \ z). [para(12028(a,1),12914(a,2,2))]. given #12015 (H,wt=19): 12960 a(x,y,x) * ((z * x) \ u) = (z * L(x,y,x)) \ u. [para(12287(a,1),12947(a,1,1)),flip(a)]. given #12016 (H,wt=19): 12964 ((a(x,y,x) \ z) * u) * 1 = z * (a(x,y,x) \ u). [hyper(236,a,12,a,b,12961,a(flip)),flip(a)]. given #12017 (H,wt=19): 12972 (x \ y) * (a(x,z,x) \ u) = (R(x,z,x) \ y) * u. [para(12339(a,1),12961(a,1,1)),flip(a)]. given #12018 (H,wt=17): 13170 (R(x,y,x) \ z) * x = (x \ z) * L(x,y,x). [para(9119(a,1),12972(a,1,2)),flip(a)]. given #12019 (H,wt=19): 12978 (x / R(y,z,y)) * (a(y,z,y) * u) = (x / y) * u. [para(12975(a,1),12953(a,1,1))]. given #12020 (H,wt=19): 12979 a(x,y,x) * (z / (u / x)) = z / (u / R(x,y,x)). [para(12975(a,1),12963(a,1,2)),flip(a)]. given #12021 (H,wt=19): 13051 K(x,L(T(y,z) / z,u,w)) = L(K(x,z \ y),u,w). [para(13050(a,1),11470(a,1,1)),flip(a)]. given #12022 (H,wt=19): 13072 T(x,y * (a(z,u,z) * w)) != v5 | T(x,y * w) = v5. [para(12938(a,1),13058(a,1,2))]. given #12023 (H,wt=19): 13076 x * K(1 / y,z * y) = x * K(1 / y,y * z). [hyper(21,a,13068,a)]. given #12024 (H,wt=19): 13105 K(x,K(y * z,y) * u) = x \ T(x,K(z,y) * u). [hyper(72,a,12995,a(flip),b,4887,a(flip)),flip(a)]. given #12025 (H,wt=19): 13111 T(x * K(y,x),z * y) = K(y,x) * T(x,y * z). [para(13107(a,1),8637(a,1,2)),flip(a)]. given #12026 (H,wt=19): 13121 K(x,y * T(z,z * u)) = x \ T(x,y * T(z,u)). [hyper(72,a,13009,a(flip),b,4887,a(flip)),flip(a)]. given #12027 (H,wt=19): 13126 K(x / y,T(z * y,u)) = K(y \ x,T(y * z,u)). [hyper(8178,a,13042,a),flip(a)]. given #12028 (H,wt=19): 13143 K(x,K(y \ z,y) * u) = x \ T(x,K(z,y) * u). [hyper(72,a,13106,a(flip),b,4887,a(flip)),flip(a)]. given #12029 (H,wt=17): 13175 K(x,K(y \ z,y) * u) = K(x,K(z,y) * u). [hyper(236,a,4829,a,b,13143,a)]. given #12030 (H,wt=20): 12923 a(x,R(y / z,z,u),x) = a(x,(z * u) \ (y * u),x). [para(487(a,1),12918(a,1,2)),flip(a)]. given #12031 (H,wt=20): 12941 x \ (a(y,z,y) * u) != w | a(y,z,y) * (x \ u) = w. [para(12936(a,2),12305(a,1))]. given #12032 (H,wt=20): 13048 K(x,L(y / z,u,z \ y) \ w) = K(x,(y / z) \ w). [para(7391(a,1),13014(a,1,2,1))]. given #12033 (H,wt=20): 13071 T(x,K(y * z,y) * u) != w | T(x,K(z,y) * u) = w. [para(12281(a,1),13058(a,1,2))]. given #12034 (H,wt=20): 13075 K(x,K(y * z,y) * u) != w | K(x,K(z,y) * u) = w. [para(12281(a,1),13067(a,1,2))]. given #12035 (H,wt=20): 13082 K(x,y * (z * (a(u,w,u) \ v5))) = K(x,y * (z * v5)). [para(12943(a,1),13015(a,1,2,2))]. given #12036 (H,wt=20): 13102 K(x,(y * (z * a(u,w,u))) \ v5) = K(x,(y * z) \ v5). [para(12926(a,1),13086(a,1,2,1))]. given #12037 (H,wt=18): 13187 K(x,(L(y,z,y) * u) \ w) = K(x,(y * u) \ w). [para(12026(a,1),13102(a,1,2,1)),flip(a)]. given #12038 (H,wt=20): 13103 K(x,y * R(x,z,u)) != w | K(x,R(x,z,u) * y) = w. [para(7273(a,1),13098(a,1))]. given #12039 (H,wt=20): 13125 K(x,T((y \ 1) * (z * y),y)) = R(K(x,z),y,y \ 1). [hyper(236,a,12875,a(flip),b,13026,a)]. given #12040 (H,wt=17): 13189 R(K(x,y),z,z \ 1) = K(x,L(y,z,z \ 1)). [hyper(236,a,9455,a(flip),b,13125,a(flip))]. given #12041 (H,wt=17): 13190 K(x,R(y,z,z \ 1)) = K(x,L(y,z,z \ 1)). [hyper(12888,a,13189,a)]. given #12042 (H,wt=16): 13193 K(x,K(y,L(z,u,u \ 1))) = K(x,K(y,z)). [para(13190(a,1),12149(a,1,2))]. given #12043 (H,wt=17): 13194 K(x,K(y,(z \ 1) \ u)) = K(x,K(y,z * u)). [para(2922(a,1),13193(a,1,2,2)),flip(a)]. given #12044 (H,wt=17): 13195 K(x,K(y,z \ (u \ 1))) = K(x,K(y,u * z)). [hyper(9287,a,13194,a)]. given #12045 (H,wt=17): 13196 K(x,K(y,((z / u) \ 1) \ u)) = K(x,K(y,z)). [para(16(a,1),13194(a,2,2,2))]. given #12046 (H,wt=17): 13200 (x / y) \ T(x,K(z,u)) = y * K(z,K(u,x)). [para(13196(a,1),8899(a,2,2))]. given #12047 (H,wt=18): 13192 K(x,L(y / z,z,z \ 1)) = K(x,y * (z \ 1)). [para(482(a,1),13190(a,1,2)),flip(a)]. given #12048 (H,wt=19): 13197 x \ T(x * y,K(z,u)) = y * K(z,K(u,x * y)). [para(13194(a,1),7951(a,2,2))]. given #12049 (H,wt=19): 13198 x * (y * K(z,K(u,x * y))) = T(x * y,K(z,u)). [para(13194(a,1),7952(a,1,2,2))]. given #12050 (H,wt=20): 13153 T(x,y * R(x,z,u)) != w | T(x,R(x,z,u) * y) = w. [para(7890(a,1),13074(a,1))]. given #12051 (H,wt=20): 13174 K(x,y * T(z,z * u)) != w | K(x,y * T(z,u)) = w. [para(13121(a,2),4956(a,1))]. given #12052 (H,wt=20): 13176 K(x,K(y \ z,y) * u) != w | K(x,K(z,y) * u) = w. [para(13143(a,2),4956(a,1))]. given #12053 (H,wt=20): 13178 a(x,R(y \ z,y,u),x) = a(x,(y * u) \ (z * u),x). [hyper(236,a,12922,a(flip),b,12923,a(flip)),flip(a)]. given #12054 (H,wt=20): 13180 T(x,K(y,z) * u) != w | T(x,K(z \ y,z) * u) = w. [para(14(a,1),13071(a,1,2,1,1))]. given #12055 (H,wt=20): 13181 T(x,K(y * z,z) * u) != w | T(x,K(y,z) * u) = w. [para(5559(a,2),13071(a,1,2,1))]. given #12056 (H,wt=20): 13191 K(x,L(y,z,z \ 1)) != u | K(x,R(y,z,z \ 1)) = u. [para(13189(a,1),12888(a,1))]. given #12057 (H,wt=21): 12939 x \ (y * (z * a(u,w,u))) = (x \ (y * z)) * a(u,w,u). [para(12914(a,1),12928(a,1,2))]. given #12058 (H,wt=21): 12948 x \ (y * (a(z,u,z) * w)) = a(z,u,z) * (x \ (y * w)). [para(12938(a,1),12940(a,1,2))]. given #12059 (H,wt=21): 12954 (x * (y * a(z,u,z))) * w = (x * y) * (a(z,u,z) * w). [para(12914(a,1),12942(a,1,1))]. given #12060 (H,wt=21): 12957 (x * (a(y,z,y) \ u)) / w = a(y,z,y) \ ((x * u) / w). [para(12943(a,1),12841(a,1,1))]. given #12061 (H,wt=21): 12973 (x * (a(y,z,y) \ u)) * w = (x * u) * (a(y,z,y) \ w). [para(12943(a,1),12961(a,1,1))]. given #12062 (H,wt=21): 12974 (x \ (a(y,z,y) \ u)) * w = (x \ u) * (a(y,z,y) \ w). [para(12958(a,1),12961(a,1,1))]. given #12063 (H,wt=21): 13000 T((x * y) \ z,K(x * y,x)) = T(z / (x * y),y * x). [hyper(7143,a,12988,a)]. given #12064 (H,wt=21): 13073 T(x,y * z) \ T(x,K(z,y)) = K(z * y,T(x,K(z,y))). [para(13063(a,1),4837(a,1,1))]. given #12065 (H,wt=21): 13091 K(x,y * (K(z,z * u) * w)) = K(x,y * (K(z,u) * w)). [para(12280(a,1),13022(a,1,2,2)),flip(a)]. given #12066 (H,wt=21): 13110 T(x * (y * z),K(y * z,z)) = (y * z) * T(x,z * y). [para(13107(a,1),6466(a,2,2))]. given #12067 (H,wt=19): 13207 T(x * (y * z),K(y,z)) = (y * z) * T(x,z * y). [hyper(9302,a,13110,a)]. given #12068 (H,wt=21): 13124 K(x,(y \ x) * R(y,z,u)) = K(x,x * (y \ R(y,z,u))). [hyper(236,a,10170,a(flip),b,13025,a(flip))]. given #12069 (H,wt=21): 13131 K(x,((y \ z) \ z) \ u) = (w * K(T(y,z) \ u,x)) \ w. [hyper(236,a,7549,a,b,13049,a)]. given #12070 (H,wt=20): 13208 K(x,((y \ z) \ z) \ u) != w | K(x,T(y,z) \ u) = w. [para(13131(a,2),7560(a,1))]. given #12071 (H,wt=21): 13144 T(x,K(y * (z * u),z) * w) = T(x,K(y * u,z) * w). [para(10747(a,1),13106(a,1,2,1)),flip(a)]. given #12072 (H,wt=21): 13145 K(x \ T(y,z),y \ z) = u / (K(y \ z,x \ y) * u). [para(13137(a,1),5266(a,1,2,1)),flip(a)]. given #12073 (H,wt=20): 13210 K(x \ T(y,z),y \ z) != u | K(x \ y,y \ z) = u. [para(13145(a,2),5272(a,1))]. given #12074 (H,wt=21): 13151 K(x,(((y \ z) \ z) \ u) * w) = K(x,(T(y,z) \ u) * w). [para(12116(a,1),13021(a,1,2,1,1)),flip(a)]. given #12075 (H,wt=21): 13154 K(x,y * (z * T(u / w,u))) = K(x,y * (z * (w \ u))). [para(4218(a,1),13080(a,1,2,2,2))]. given #12076 (H,wt=21): 13155 K(x,y * (z * ((u \ w) \ w))) = K(x,y * (z * T(u,w))). [para(12116(a,1),13080(a,1,2,2,2)),flip(a)]. given #12077 (H,wt=21): 13156 K(x,y * (T(z / u,z) \ w)) = K(x,y * ((u \ z) \ w)). [para(4218(a,1),13081(a,1,2,2,1))]. given #12078 (H,wt=21): 13158 K(x,y * (((z \ u) \ u) \ w)) = K(x,y * (T(z,u) \ w)). [para(12116(a,1),13081(a,1,2,2,1)),flip(a)]. given #12079 (H,wt=19): 13213 K(x,y * T(z \ u,z)) = K(x,y * (T(z,u) \ u)). [para(4108(a,2),13158(a,1,2,2))]. given #12080 (H,wt=21): 13161 K(x * (T(y,z) / z),u) = w / (K(u,x * (z \ y)) * w). [para(13159(a,1),5266(a,1,2,1)),flip(a)]. given #12081 (H,wt=17): 13214 K(x * (T(y,z) / z),u) = K(x * (z \ y),u). [hyper(236,a,5266,a(flip),b,13161,a)]. given #12082 (H,wt=20): 13215 K(x * (T(y,z) / z),u) != w | K(x * (z \ y),u) = w. [para(13161(a,2),5272(a,1))]. given #12083 (H,wt=20): 13217 K(x * (y / T(z,y)),u) != w | K(x * (z \ y),u) = w. [para(4115(a,1),13215(a,1,1,2))]. given #12084 (H,wt=21): 13162 K(x,y * (z \ T(u / w,u))) = K(x,y * (z \ (w \ u))). [para(4218(a,1),13083(a,1,2,2,2))]. given #12085 (H,wt=21): 13163 K(x,y * (z \ ((u \ w) \ w))) = K(x,y * (z \ T(u,w))). [para(12116(a,1),13083(a,1,2,2,2)),flip(a)]. given #12086 (H,wt=21): 13183 K(x,y * (z * K(u * w,w))) = K(x,y * (z * K(u,w))). [para(9071(a,1),13082(a,1,2,2,2)),flip(a)]. given #12087 (H,wt=21): 13184 K(x,y * (z * K(u \ w,u))) = K(x,y * (z * K(w,u))). [para(9035(a,1),13082(a,1,2,2,2))]. given #12088 (H,wt=21): 13185 K(x,(y * K(z * u,u)) \ w) = K(x,(y * K(z,u)) \ w). [para(9079(a,1),13102(a,1,2,1,2))]. given #12089 (H,wt=21): 13186 K(x,(y * T(z * u,z)) \ w) = K(x,(y * (u * z)) \ w). [para(11414(a,1),13102(a,1,2,1,2))]. given #12090 (H,wt=21): 13188 K(x,(((y \ z) \ z) * u) \ w) = K(x,(T(y,z) * u) \ w). [para(12116(a,1),13187(a,1,2,1,1)),flip(a)]. given #12091 (H,wt=21): 13206 T(x,y * z) \ T(x,K(y,z)) = K(z * y,T(x,K(z,y))). [para(7981(a,1),13073(a,1,2))]. given #12092 (H,wt=22): 13070 x * K(y,z * x) != u * w | u \ (K(y,x * z) * x) = w. [para(13035(a,1),545(a,1))]. given #12093 (H,wt=22): 13128 K(x \ y,T(x * z,u)) != w | K(y / x,T(z * x,u)) = w. [para(13043(a,1),8184(a,1))]. given #12094 (H,wt=22): 13141 L(K(x,y \ (z \ u)),z \ u,z) = K(x,T(y * z,y) \ u). [hyper(236,a,6594,a,b,13100,a),flip(a)]. given #12095 (H,wt=20): 13223 K(x,T(y * z,y) \ u) != w | K(x,(z * y) \ u) = w. [para(13141(a,1),9929(a,1))]. given #12096 (H,wt=22): 13168 K(x,y * ((z * L(u,w,u)) \ v5)) = K(x,y * ((z * u) \ v5)). [para(12960(a,1),13022(a,1,2,2))]. given #12097 (H,wt=22): 13172 K(x,L(T(y,z) / z,u,w)) != v5 | K(x,L(z \ y,u,w)) = v5. [para(13051(a,2),11589(a,1))]. given #12098 (H,wt=22): 13209 K(x,T(y \ z,y) \ u) != w | K(x,T(y \ z,z) \ u) = w. [para(4108(a,2),13208(a,1,2,1))]. given #12099 (H,wt=23): 13045 L(K(x,y \ z),y \ z,y) = K(x,(y * (u \ R(u,w,u))) \ z). [para(13013(a,1),6594(a,1,1))]. given #12100 (H,wt=23): 13069 T(x,K(y,z * x)) \ (K(y,x * z) * x) = T(K(y,z * x),x). [hyper(72,a,13035,a,b,4106,a)]. given #12101 (H,wt=23): 13122 K(x \ y,(1 / (y / x)) * z) = K(x \ y,z * (1 / (y / x))). [hyper(8172,a,13024,a)]. given #12102 (H,wt=23): 13199 K(x,K(y \ (z * u),z * u)) = K(x,K(z * u,(z \ y) \ u)). [hyper(236,a,9286,a(flip),b,13195,a(flip))]. given #12103 (H,wt=19): 13227 K(x,K(y * z,(y \ u) \ z)) = K(x,K(u,y * z)). [hyper(9240,a,13199,a),flip(a)]. given #12104 (H,wt=19): 13228 K(x,K(y * z,z \ (y \ u))) = K(x,K(u,y * z)). [hyper(9287,a,13227,a)]. given #12105 (H,wt=23): 13221 K(x,y * ((z * u) * K(u,w))) = K(x,y * (z * ((w \ u) * w))). [para(10659(a,1),13184(a,1,2,2)),flip(a)]. given #12106 (H,wt=21): 13230 K(x,y * (z * ((u \ w) * u))) = K(x,y * (z * T(w,u))). [para(6201(a,1),13221(a,1,2,2)),flip(a)]. given #12107 (H,wt=23): 13225 K(x,y * ((z * (1 / u)) \ w)) = K(x,y * ((z * (u \ 1)) \ w)). [para(1721(a,1),13168(a,1,2,2,1,2))]. given #12108 (H,wt=23): 13226 T(x,K(y,z * x)) \ (K(y,x * z) * x) = K(y,T(z * x,x)). [hyper(236,a,7256,a,b,13069,a)]. given #12109 (H,wt=21): 13232 T(x,K(y,z * x)) \ (K(y,x * z) * x) = K(y,x * z). [hyper(236,a,13033,a(flip),b,13226,a)]. given #12110 (H,wt=19): 13233 T(x,K(y,z)) \ (K(y,x * z) * x) = K(y,x * z). [para(9334(a,1),13232(a,1,1))]. given #12111 (H,wt=19): 13234 T(x,K(y,z)) \ (x * K(y,z * x)) = K(y,x * z). [para(13035(a,1),13233(a,1,2))]. given #12112 (H,wt=17): 13235 K(K(x,y),z) * K(x,y * z) = K(x,z * y). [hyper(5370,a,13234,a)]. given #12113 (H,wt=17): 13236 K(x,K(y,z)) * K(y,x * z) = K(y,z * x). [hyper(5285,a,13235,a)]. given #12114 (H,wt=17): 13237 K(x,K(y,z)) * K(z,y * x) = K(z,x * y). [para(5835(a,1),13235(a,1,1))]. given #12115 (H,wt=17): 13238 K(x,K(y,z)) * K(x,y * z) = K(x,z * y). [para(7886(a,1),13235(a,1,1))]. given #12116 (H,wt=17): 13239 K(x,K(y,z)) * K(z,x * y) = K(z,y * x). [para(7920(a,1),13235(a,1,1))]. given #12117 (H,wt=17): 13240 K(x,K(y,z)) * K(x,z * y) = K(x,y * z). [para(7935(a,1),13235(a,1,1))]. given #12118 (H,wt=17): 13242 K(x,y * z) * K(x,K(y,z)) = K(x,z * y). [hyper(5870,a,13238,a)]. given #12119 (H,wt=17): 13245 K(x,y * z) / K(x,K(y,z)) = K(x,z * y). [hyper(74,a,13240,a(flip),b,5864,a)]. given #12120 (H,wt=19): 13246 K(x,y * z) / (x \ K(x,z * y)) = T(x,K(y,z)). [hyper(74,a,13240,a(flip),b,4857,a)]. given #12121 (H,wt=20): 13241 K(x,K(y,z)) * K(z,x * y) != u | K(z,y * x) = u. [para(13237(a,1),7966(a,1,2)),flip(b)]. given #12122 (H,wt=21): 13244 x * (K(y,K(z,u)) * K(u,y * z)) = x * K(u,z * y). [hyper(21,a,13239,a)]. given #12123 (H,wt=24): 12950 x \ (y * (x * a(z,u,z))) = a(z,u,z) * T(y,x * a(z,u,z)). [hyper(549,a,12942,a)]. given #12124 (H,wt=24): 12969 ((x * (a(y,z,y) \ u)) * w) / (u * w) = R(a(y,z,y) \ x,u,w). [para(12961(a,1),30(a,2,1,1)),flip(a)]. given #12125 (H,wt=24): 12971 (a(x,y,x) \ z) * u != w * v5 | w \ (z * (a(x,y,x) \ u)) = v5. [para(12961(a,2),545(a,1))]. given #12126 (H,wt=24): 13164 T(T(x,K(y,K(z,u))),K(u,z) * y) != w | T(x,y * K(u,z)) = w. [para(7937(a,1),13095(a,1,1,2))]. given #12127 (H,wt=24): 13179 x \ (y * (a(z,u,z) * w)) != v5 | a(z,u,z) * (x \ (y * w)) = v5. [para(12938(a,1),12941(a,1,2))]. given #12128 (H,wt=24): 13182 T(x,K(y \ (z * u),u) * w) != v5 | T(x,K(y \ z,u) * w) = v5. [para(10856(a,2),13071(a,1,2,1))]. given #12129 (H,wt=24): 13222 K(x * y,T(z,K(x,y))) != u | K(z,K(y,x)) * K(y * x,z) = u. [para(13206(a,1),5663(a,1))]. given #12130 (H,wt=24): 13251 ((x * y) * (a(z,u,z) \ w)) / (y * w) = R(a(z,u,z) \ x,y,w). [para(12973(a,1),12969(a,1,1))]. given #12131 (H,wt=24): 13252 a(x,y,x) \ (((z * u) * w) / (u * w)) = R(a(x,y,x) \ z,u,w). [hyper(236,a,12957,a(flip),b,13251,a(flip)),flip(a)]. given #12132 (H,wt=19): 13253 R(a(x,y,x) \ z,u,w) = a(x,y,x) \ R(z,u,w). [para(30(a,2),13252(a,1,2)),flip(a)]. given #12133 (H,wt=19): 13254 R(a(x,y,x) \ z,u,w) = R(z,u,w) / a(x,y,x). [hyper(236,a,12293,a,b,13253,a)]. given #12134 (H,wt=19): 13256 R(x * a(y,z,y),u,w) / a(y,z,y) = R(x,u,w). [para(12288(a,1),13254(a,1,1)),flip(a)]. given #12135 (H,wt=19): 13257 R(x * a(y,z,y),u,w) = R(x,u,w) * a(y,z,y). [para(13256(a,1),16(a,1,1)),flip(a)]. given #12136 (H,wt=12): 13258 a(x,R(y,z,u),x) = a(x,y,x). [hyper(9596,a,13257,a)]. given #12137 (H,wt=15): 13260 R(a(x,y,x),z,u) = a(x,R(y,w,v5),x). [hyper(236,a,12803,a,b,13258,a),flip(a)]. given #12138 (H,wt=15): 13265 a(x,R(y,z,u),x) != w | a(x,y,x) = w. [para(13260(a,1),339(a,1)),flip(b)]. given #12139 (H,wt=17): 13261 a(x,(y * z) \ (u * z),x) = a(x,y \ u,x). [hyper(236,a,13178,a(flip),b,13258,a(flip)),flip(a)]. given #12140 (H,wt=15): 13267 a(x,(y * z) \ z,x) = a(x,y \ 1,x). [para(11(a,1),13261(a,1,2,2))]. given #12141 (H,wt=15): 13268 a(x,y * (z \ 1),x) = a(x,z \ y,x). [para(125(a,1),13261(a,1,2))]. given #12142 (H,wt=15): 13270 a(x,y / (z * y),x) = a(x,z \ 1,x). [hyper(236,a,12919,a,b,13267,a(flip)),flip(a)]. given #12143 (H,wt=18): 13263 R(T(x,y),R(z,u,w),x) = a(x,z,x) * T(x,y). [para(13258(a,1),9080(a,1,1)),flip(a)]. given #12144 (H,wt=16): 13273 R(T(x,y),R(z,u,w),x) = R(T(x,y),z,x). [hyper(236,a,9080,a(flip),b,13263,a)]. given #12145 (H,wt=20): 13262 a(x,y,x) * (R(y,z,u) * x) = T(x * R(y,z,u),x). [para(13258(a,1),9061(a,1,1))]. given #12146 (H,wt=18): 13275 R(x,y,z) * R(u,x,u) = T(u * R(x,y,z),u). [hyper(12335,a,13262,a)]. given #12147 (H,wt=23): 13255 a(x,y,x) \ (z \ R(u,w,v5)) = z \ R(a(x,y,x) \ u,w,v5). [hyper(72,a,13253,a,b,12944,a),flip(a)]. given #12148 (H,wt=21): 13277 a(x,y,x) \ (z \ R(x,u,w)) = z \ R(L(x,y,x),u,w). [para(9119(a,1),13255(a,2,2,1))]. given #12149 (H,wt=21): 13278 a(x,y,x) \ (z \ R(x,u,w)) = z \ L(R(x,u,w),y,x). [para(44(a,1),13277(a,2,2))]. given #12150 (H,wt=23): 13259 R(x * a(y,z,y),u,w) * v5 = a(y,z,y) * (R(x,u,w) * v5). [para(13257(a,2),12831(a,1,1))]. given #12151 (H,wt=23): 13269 L(x,(y * z) \ (u * z),x) = (w / x) \ (a(x,y \ u,x) \ w). [para(13261(a,1),12327(a,1,2,1)),flip(a)]. given #12152 (H,wt=17): 13280 L(x,(y * z) \ (u * z),x) = L(x,y \ u,x). [hyper(236,a,12327,a(flip),b,13269,a)]. given #12153 (H,wt=23): 13279 R(a(x,y,x) * z,u,w) * v5 = a(x,y,x) * (R(z,u,w) * v5). [para(12292(a,2),13259(a,1,1,1))]. given #12154 (H,wt=19): 13281 R(a(x,y,x) * z,u,w) = a(x,y,x) * R(z,u,w). [hyper(7745,a,13279,a),flip(a)]. given #12155 (H,wt=24): 13274 R(x,y,z) * R(T(u,x * u),x,u) = T(u * R(x,y,z),u * x). [para(13273(a,1),12641(a,1,2))]. given #12156 (H,wt=19): 13283 T(x * R(y,z,u),x * y) = R(y,z,u) * T(x,y). [para(760(a,1),13274(a,1,2)),flip(a)]. given #12157 (H,wt=23): 13285 R(x \ y,z,u) * T(x,x \ y) = T(x * R(x \ y,z,u),y). [para(14(a,1),13283(a,1,2)),flip(a)]. given #12158 (H,wt=23): 13287 R(x \ y,z,u) * ((x \ y) \ y) = T(x * R(x \ y,z,u),y). [hyper(909,a,13285,a)]. given #12159 (H,wt=25): 13059 T(x,(y / z) * ((z * K(z \ y,z)) * (y / z))) = T(x,y * (z \ y)). [para(5643(a,1),12984(a,1,2)),flip(a)]. given #12160 (H,wt=15): 13288 T(x,(y / z) * y) = T(x,y * (z \ y)). [para(4807(a,1),13059(a,1,2,2))]. given #12161 (H,wt=25): 13138 K(x,y \ T(K(z,u) * w,T(z,u))) = K(x,y \ ((z \ w) * T(z,u))). [para(4857(a,1),13092(a,1,2,2,1))]. given #12162 (H,wt=23): 13289 K(x,y \ T(z * K(u,w),u)) = K(x,y \ ((u \ z) * T(u,w))). [para(7398(a,1),13138(a,1,2,2))]. given #12163 (H,wt=25): 13169 ((a(x,y,x) \ z) * u) * a(a(w,v5,w),v6,v7) = z * (a(x,y,x) \ u). [para(12815(a,2),12964(a,1,2))]. given #12164 (H,wt=25): 13171 (x / R(y,z,y)) * (u / (w / R(y,z,y))) = (x / y) * (u / (w / y)). [para(12979(a,1),12978(a,1,2))]. given #12165 (H,wt=25): 13173 x * K(1 / (y / z),(y / z) * u) = x * K(z / y,u * (y / z)). [para(5702(a,1),13076(a,1,2)),flip(a)]. given #12166 (H,wt=23): 13291 x * K(y / z,(z / y) * u) = x * K(y / z,u * (z / y)). [para(5702(a,1),13173(a,1,2))]. given #12167 (H,wt=25): 13205 T((x * (y / x)) \ z,K(x * (y / x),x)) = T(z / (x * (y / x)),y). [para(16(a,1),13000(a,2,2))]. given #12168 (H,wt=17): 13294 T(x / (x * (y / x)),y) = (x * (y / x)) \ x. [hyper(8019,a,13205,a),flip(a)]. given #12169 (H,wt=21): 13295 T((x * (y / x)) \ z,K(y,x)) = T(z / (x * (y / x)),y). [para(5561(a,1),13205(a,1,2))]. given #12170 (H,wt=23): 13296 T((x * (y / x)) \ z,K(x,x \ y)) = T(z / (x * (y / x)),y). [hyper(9318,a,13295,a)]. given #12171 (H,wt=19): 13297 T(x / (y * (z / y)),z) = (z \ x) * K(y \ z,y). [hyper(236,a,11134,a(flip),b,13296,a(flip))]. given #12172 (H,wt=25): 13220 K(x,y * (z \ T(u * w,u \ 1))) = K(x,y * (z \ T(u * w,w))). [para(4083(a,2),13163(a,1,2,2,2))]. given #12173 (H,wt=25): 13243 K(x,K(y \ z,u)) * K(u,x * (y \ z)) = K(u,(z / T(y,z)) * x). [hyper(236,a,13150,a,b,13239,a)]. given #12174 (H,wt=20): 13299 K(x,(y / T(z,y)) * u) != w | K(x,(z \ y) * u) = w. [para(13243(a,1),13241(a,1))]. given #12175 (H,wt=18): 13300 K(x,(1 / y) * z) != u | K(x,(y \ 1) * z) = u. [para(145(a,1),13299(a,1,2,1,2))]. given #12176 (H,wt=18): 13301 K(x,(x / y) * z) != u | K(x,(y \ x) * z) = u. [para(8238(a,1),13299(a,1))]. given #12177 (H,wt=25): 13298 (x \ y) \ (K(y,(x \ y) \ 1) * z) = T(y / (y * (x / y)),x) \ z. [para(13297(a,2),10340(a,2,1))]. given #12178 (H,wt=23): 13302 (x \ y) \ (K(y,(x \ y) \ 1) * z) = ((y * (x / y)) \ y) \ z. [para(13294(a,1),13298(a,2,1))]. given #12179 (H,wt=23): 13303 K(x,(y \ x) \ 1) * ((y \ x) \ z) = ((x * (y / x)) \ x) \ z. [hyper(6025,a,13302,a)]. given #12180 (H,wt=21): 13304 K(x,x \ y) * ((y \ x) \ z) = ((x * (y / x)) \ x) \ z. [para(6408(a,1),13303(a,1,1))]. given #12181 (H,wt=26): 12967 (x * (a(y,z,y) \ u)) \ (u * (a(y,z,y) \ x)) = K(u,a(y,z,y) \ x). [para(12961(a,1),26(a,2,1)),flip(a)]. given #12182 (H,wt=21): 13305 (x * (a(y,z,y) \ u)) \ (u * (a(y,z,y) \ x)) = K(u,x). [hyper(236,a,13011,a(flip),b,12967,a)]. given #12183 (H,wt=26): 13116 T(x,T((T(y,z) * z) \ u,z * y)) != w | T(x,u / (T(y,z) * z)) = w. [para(13113(a,1),8243(a,1,2))]. given #12184 (H,wt=26): 13118 T(x,T(y * K(z,u),z * u)) != w | T(x,(z * u) * (y / (u * z))) = w. [para(10693(a,1),13108(a,1,2,1))]. given #12185 (H,wt=26): 13119 T(x,T(y,z \ u) * ((u \ z) \ 1)) != w | T(x,((u \ z) \ 1) * y) = w. [para(6361(a,1),13115(a,1,2,1))]. given #12186 (H,wt=26): 13120 T(x,T(y,T(z,u)) * ((u \ z) * u)) != w | T(x,((u \ z) * u) * y) = w. [para(13003(a,1),13115(a,1,2,1))]. given #12187 (H,wt=26): 13123 K(x \ y,z * (1 / (y / x))) != u | K(x \ y,(1 / (y / x)) * z) = u. [para(13024(a,1),8172(a,1))]. given #12188 (H,wt=26): 13136 (x \ (x * K(y \ x,z))) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(13062(a,1),10168(a,1,1,2))]. given #12189 (H,wt=22): 13307 K(x \ y,z) \ (y * K(y / x,z)) = L(y,K(x \ y,z),y). [para(13(a,1),13136(a,1,1))]. given #12190 (H,wt=10): 13308 L(x,K(y \ x,z),x) = x. [hyper(8235,a,13307,a)]. given #12191 (H,wt=8): 13310 L(x,K(y,z),x) = x. [para(65(a,1),13308(a,1,2,1))]. given #12192 (H,wt=13): 13311 T(K(x,y) * z,z) = z * K(x,y). [hyper(10284,a,13310,a)]. given #12193 (H,wt=15): 13312 (x * K(y,z)) * x = x * (K(y,z) * x). [para(13310(a,1),103(a,1,2))]. given #12194 (H,wt=15): 13313 (x * (K(y,z) * x)) / x = x * K(y,z). [para(13310(a,1),137(a,1,2))]. given #12195 (H,wt=18): 13314 (x * (K(y,z) * x)) / x != u | x * K(y,z) = u. [para(13310(a,1),297(a,1,2))]. given #12196 (H,wt=19): 13316 T(K(x,y) * z,u) * z = z * T(z * K(x,y),u). [para(13311(a,1),180(a,1,2,1)),flip(a)]. given #12197 (H,wt=19): 13317 T(x * T(x \ y,z),y) = y * K((x / y) \ 1,z). [para(5164(a,1),13311(a,1,1))]. given #12198 (H,wt=17): 13320 K((T(x,y) \ y) \ 1,z) = K((y / x) \ 1,z). [hyper(6110,a,13317,a)]. given #12199 (H,wt=23): 13319 T((x * K(y,z)) * x,K(x,u)) / x = T(K(y,z) * x,T(x,u)). [hyper(74,a,6466,a,b,13316,a)]. given #12200 (H,wt=23): 13321 T(x * (K(y,z) * x),K(x,u)) / x = T(K(y,z) * x,T(x,u)). [para(13312(a,1),13319(a,1,1,1))]. given #12201 (H,wt=23): 13322 (x * T(K(y,z) * x,K(x,u))) / x = T(K(y,z) * x,T(x,u)). [para(7161(a,1),13321(a,1,1))]. given #12202 (H,wt=23): 13323 (x * (x * T(K(y,z),T(x,u)))) / x = T(K(y,z) * x,T(x,u)). [para(6466(a,1),13322(a,1,1,2))]. given #12203 (H,wt=26): 13149 K(x,((y / z) \ 1) \ T(u,z / y)) != w | K(x,u / ((y / z) \ 1)) = w. [para(4187(a,1),13148(a,1,2,2))]. given #12204 (H,wt=26): 13165 T(T(x,K(y,z)),T(T(z,u),u) * y) != w | T(x,y * T(T(z,u),u)) = w. [para(8051(a,1),13095(a,1,1,2))]. given #12205 (H,wt=26): 13204 L((x \ y) \ (z * a(u,w,u)),x \ y,x) = (y \ (x * z)) * a(u,w,u). [hyper(831,a,12939,a)]. given #12206 (H,wt=26): 13216 K(x * (T(y * z,y * u) / (y * u)),w) = K(x * L(u \ z,u,y),w). [para(105(a,2),13214(a,2,1,2))]. given #12207 (H,wt=22): 13325 K(x * L(y \ z,y,u),w) = K(x * ((u * y) \ (u * z)),w). [hyper(13215,a,13216,a),flip(a)]. given #12208 (H,wt=26): 13286 (x * R(y,z,u)) / (R(y,z,u) * T(x,y)) = K(x * y,x * R(y,z,u)). [para(13283(a,1),4826(a,2,2)),flip(a)]. given #12209 (H,wt=26): 13293 x * K(y / z,(z / y) * u) != w * K(y / z,u * (z / y)) | x = w. [para(13291(a,1),20(a,2))]. given #12210 (H,wt=26): 13324 L(((x \ y) \ z) * a(u,w,u),x \ y,x) = (y \ (x * z)) * a(u,w,u). [para(12928(a,1),13204(a,1,1))]. given #12211 (H,wt=26): 13327 T(K(x,y) * K(y,R(x,z,u)),R(x,z,u)) = K(y * x,y * R(x,z,u)). [hyper(236,a,12628,a(flip),b,13286,a(flip)),flip(a)]. given #12212 (H,wt=24): 13328 T(a(K(x,y),z * y,u),R(y,z,u)) = K(x * y,x * R(y,z,u)). [para(12543(a,1),13327(a,1,1))]. given #12213 (H,wt=24): 13329 K(x * y,x * R(y,z,u)) = a(K(x,T(y,R(y,z,u))),z * y,u). [hyper(236,a,12676,a,b,13328,a(flip))]. given #12214 (H,wt=19): 13330 K(x * y,x * R(y,z,u)) = a(K(x,y),z * y,u). [para(625(a,1),13329(a,2,1,2))]. given #12215 (H,wt=21): 13332 K(x,(x / y) * R(y,z,u)) = a(K(x / y,y),z * y,u). [para(16(a,1),13330(a,1,1))]. given #12216 (H,wt=21): 13333 K(x,(y \ x) * R(y,z,u)) = a(K(x / y,y),z * y,u). [hyper(13301,a,13332,a)]. given #12217 (H,wt=21): 13334 K(x,x * (y \ R(y,z,u))) = a(K(x / y,y),z * y,u). [hyper(236,a,13124,a(flip),b,13333,a(flip)),flip(a)]. given #12218 (H,wt=21): 13335 K(x,x * (y \ R(y,z,u))) = a(K(y \ x,y),z * y,u). [para(4997(a,1),13334(a,2,1))]. given #12219 (H,wt=27): 12946 (x * y) \ (x * (a(z,u,z) * (y * w))) != v5 | L(a(z,u,z) * w,y,x) = v5. [para(12938(a,2),447(a,1,2,2))]. given #12220 (H,wt=24): 13336 a(x,y,x) * ((z * u) \ (z * (u * w))) = L(a(x,y,x) * w,u,z). [hyper(12946,a,12948,a),flip(a)]. given #12221 (H,wt=19): 13338 L(a(x,y,x) * z,u,w) = a(x,y,x) * L(z,u,w). [para(28(a,2),13336(a,1,2)),flip(a)]. given #12222 (H,wt=19): 13339 a(x,y,x) * L(a(x,y,x) \ z,u,w) = L(z,u,w). [para(14(a,1),13338(a,1,1)),flip(a)]. given #12223 (H,wt=21): 13340 x * L(a(x,y,x) * z,u,w) = R(x,y,x) * L(z,u,w). [para(13338(a,2),12320(a,1,2))]. given #12224 (H,wt=21): 13342 x * L(y * a(x,z,x),u,w) = R(x,z,x) * L(y,u,w). [para(12292(a,1),13340(a,1,2,1))]. given #12225 (H,wt=22): 13344 T(x * L(y * K(x,y),z,u),x) = R(x,y,x) * L(y,z,u). [hyper(236,a,12433,a,b,13342,a(flip)),flip(a)]. given #12226 (H,wt=12): 13345 R(x,L(y,z,u),x) = R(x,y,x). [hyper(9849,a,13344,a)]. given #12227 (H,wt=14): 13346 R(x,L(y,z,u),x) = x * a(x,y,x). [hyper(236,a,9044,a,b,13345,a)]. given #12228 (H,wt=12): 13351 a(x,L(y,z,u),x) = a(x,y,x). [hyper(9050,a,13346,a)]. given #12229 (H,wt=14): 13353 L(x,L(y,z,u),x) = a(x,y,x) \ x. [para(13351(a,1),9119(a,1,1)),flip(a)]. given #12230 (H,wt=12): 13354 L(x,L(y,z,u),x) = L(x,y,x). [hyper(236,a,9119,a(flip),b,13353,a)]. given #12231 (H,wt=15): 13347 R(x,(y * z) \ y,x) = R(x,z \ 1,x). [para(158(a,1),13345(a,1,2))]. given #12232 (H,wt=17): 13348 R(x,(y * z) \ u,x) = R(x,z \ (y \ u),x). [para(227(a,1),13345(a,1,2))]. given #12233 (H,wt=17): 13352 a(x,(y * z) \ u,x) = a(x,z \ (y \ u),x). [para(227(a,1),13351(a,1,2))]. given #12234 (H,wt=17): 13355 L(x,L(y,z,u) \ y,x) = L(x,a(u,z,y),x). [para(1566(a,2),13354(a,1,2)),flip(a)]. given #12235 (H,wt=23): 13343 R(x,y,x) * L(R(x,y,x) \ z,u,w) = x * L(x \ z,u,w). [para(12341(a,1),13340(a,1,2,1)),flip(a)]. given #12236 (H,wt=24): 13356 R(x,((y * z) * u) \ (y * (z * u)),x) = R(x,a(y,z,u) \ 1,x). [para(91(a,1),13347(a,1,2,1))]. given #12237 (H,wt=24): 13358 R(x,y \ ((z * u) \ (z * (u * y))),x) = R(x,a(z,u,y) \ 1,x). [hyper(236,a,13348,a(flip),b,13356,a(flip)),flip(a)]. given #12238 (H,wt=19): 13359 R(x,a(y,z,u) \ 1,x) = R(x,u \ L(u,z,y),x). [para(28(a,2),13358(a,1,2,2)),flip(a)]. given #12239 (H,wt=27): 13104 K(x,T((y * z) * T(u,z),u * z)) != w | K(x,(u * z) * R(y,z,u)) = w. [para(10681(a,1),13098(a,1,2,1))]. given #12240 (H,wt=27): 13130 T(x / y,x) * (z / T(x / y,x)) = z * K(T(x / y,x),(y \ x) \ z). [para(13046(a,1),5079(a,1,2)),flip(a)]. given #12241 (H,wt=25): 13360 T(x / y,x) * (z / T(x / y,x)) = z * K(y \ x,(y \ x) \ z). [para(7247(a,1),13130(a,2,2))]. given #12242 (H,wt=26): 13361 T(x / y,x) * (z / T(x / y,x)) != u | (y \ x) * (z / (y \ x)) = u. [para(13360(a,2),5323(a,1))]. given #12243 (H,wt=27): 13160 K(x,y * ((z / (z / u)) / T(w,T(u,z)))) = K(x,y * (w \ (z / (z / u)))). [para(8363(a,1),13157(a,1,2,2,2))]. given #12244 (H,wt=27): 13271 (K(x,y) * (z \ 1)) * a(z,z \ K(x,y),z) = L(K(x,y),z \ 1,z) / z. [para(13268(a,1),9781(a,1,2))]. given #12245 (H,wt=25): 13362 K(x,y) * (L(z,z \ K(x,y),z) \ 1) = L(K(x,y),z \ 1,z) / z. [hyper(236,a,12930,a(flip),b,13271,a(flip)),flip(a)]. given #12246 (H,wt=25): 13363 K(x,y) * (L(z,z \ K(x,y),z) \ 1) = K(x,L(y,z \ 1,z)) / z. [para(11470(a,1),13362(a,2,1))]. given #12247 (H,wt=27): 13276 (R(x,y,z) * R(u,x,u)) \ ((u * R(x,y,z)) * u) = T(u,u * R(x,y,z)). [para(13275(a,2),4110(a,1,1))]. given #12248 (H,wt=23): 13364 L(T(x,R(y,z,u)),y,T(x,R(y,z,u))) = T(x,x * R(y,z,u)). [hyper(236,a,12049,a(flip),b,13276,a(flip)),flip(a)]. given #12249 (H,wt=27): 13331 R(K(x * y,x * R(y,z,u)),x * R(y,z,u),w) = a(K(x,y),z * y,u). [hyper(10363,a,13330,a)]. given #12250 (H,wt=25): 13365 R(a(K(x,y),z * y,u),x * R(y,z,u),w) = a(K(x,y),z * y,u). [para(13330(a,1),13331(a,1,1))]. given #12251 (H,wt=27): 13337 a(x,y,x) * ((z * u) \ (z * (u * w))) != v5 | L(a(x,y,x) * w,u,z) = v5. [para(12948(a,1),12946(a,1))]. given #12252 (H,wt=28): 13094 L(x \ 1,x,y) * (y / L(x \ 1,x,y)) = y * K(L(x \ 1,x,y),x * y). [para(13032(a,1),5079(a,1,2)),flip(a)]. given #12253 (H,wt=25): 13366 L(x \ 1,x,y) * (y / L(x \ 1,x,y)) = y * K(x \ 1,x * y). [para(6325(a,1),13094(a,2,2))]. given #12254 (H,wt=28): 13166 T(T(x,K(y,K(z,u))),K(z,z * u) * y) != w | T(x,y * K(z,z * u)) = w. [para(9204(a,1),13095(a,1,1,2))]. given #12255 (H,wt=28): 13218 K(x * (T(y,z) / T(T(z,u),u)),w) != v5 | K(x * (T(T(z,u),u) \ y),w) = v5. [para(8147(a,1),13215(a,1,1,2,1))]. given #12256 (H,wt=29): 12945 (a(x,y,x) * (z * u)) \ (z * ((a(x,y,x) * u) * w)) = L(w,a(x,y,x) * u,z). [para(12938(a,2),28(a,2,1)),flip(a)]. given #12257 (H,wt=29): 12965 ((a(x,y,x) \ z) * u) \ (z * (a(x,y,x) \ (u * w))) = L(w,u,a(x,y,x) \ z). [hyper(72,a,12961,a(flip),b,103,a)]. given #12258 (H,wt=29): 12968 (x * (a(y,z,y) \ u)) \ (x * (u * (a(y,z,y) \ w))) = L(w,a(y,z,y) \ u,x). [para(12961(a,1),28(a,2,2,2)),flip(a)]. given #12259 (H,wt=29): 12970 (x * (a(y,z,y) \ u)) \ (u * (a(y,z,y) \ x)) != w | K(a(y,z,y) \ u,x) = w. [para(12961(a,1),285(a,1,2))]. given #12260 (H,wt=12): 13370 K(a(x,y,x) \ z,u) = K(z,u). [hyper(12970,a,13305,a)]. given #12261 (H,wt=12): 13371 K(a(x,y,x) * z,u) = K(z,u). [hyper(8409,a,13370,a),flip(a)]. given #12262 (H,wt=12): 13373 K(x * a(y,z,y),u) = K(x,u). [para(12288(a,1),13370(a,1,1)),flip(a)]. given #12263 (H,wt=14): 13374 K(L(x,y,x) \ z,u) = K(x \ z,u). [para(12294(a,1),13370(a,1,1)),flip(a)]. given #12264 (H,wt=14): 13377 K(x \ L(y,z,y),u) = K(x \ y,u). [para(12959(a,1),13370(a,1,1))]. given #12265 (H,wt=14): 13381 K(x / L(y,z,y),u) = K(x / y,u). [para(12312(a,1),13371(a,1,1))]. given #12266 (H,wt=14): 13382 K(R(x,y,x) * z,u) = K(x * z,u). [para(12342(a,1),13371(a,1,1))]. given #12267 (H,wt=15): 13372 K(a(x,y,x) * z,u) != w | K(z,u) = w. [para(13370(a,1),8409(a,1))]. given #12268 (H,wt=16): 13384 K(x * (y * a(z,u,z)),w) = K(x * y,w). [para(12926(a,1),13371(a,1,1))]. given #12269 (H,wt=16): 13392 K(T(x * y,x),z) != u | K(y * x,z) = u. [para(9061(a,1),13372(a,1,1))]. given #12270 (H,wt=13): 13395 K(x * y,T(z,y)) = K(y * x,z). [hyper(13392,a,8054,a)]. given #12271 (H,wt=13): 13397 K(x * y,T(z,x)) = K(y * x,z). [hyper(13392,a,7260,a),flip(a)]. given #12272 (H,wt=13): 13401 K(x * (y / x),z) = K(y,T(z,x)). [para(16(a,1),13395(a,1,1)),flip(a)]. given #12273 (H,wt=13): 13408 K((x \ y) * x,z) = K(y,T(z,x)). [para(14(a,1),13397(a,1,1)),flip(a)]. given #12274 (H,wt=15): 13396 K(x * y,x \ z) = K(y * x,z / x). [hyper(13392,a,7313,a),flip(a)]. given #12275 (H,wt=15): 13404 K(x * y,z) * y = y * K(y * x,z). [para(13395(a,1),7281(a,1,2)),flip(a)]. given #12276 (H,wt=15): 13405 K(x * y,z) * x = x * K(y * x,z). [para(13395(a,1),8047(a,1,1))]. given #12277 (H,wt=15): 13412 K(T(x,y) * y,z) = K(x * y,T(z,x)). [para(3875(a,2),13401(a,1,1))]. given #12278 (H,wt=13): 13417 K(T(x,y) * y,z) = K(y * x,z). [hyper(236,a,13397,a(flip),b,13412,a)]. given #12279 (H,wt=16): 13398 K(x * y,T(z,x)) != u | K(y * x,z) = u. [para(7260(a,1),13392(a,1))]. given #12280 (H,wt=16): 13399 K(x * y,z) != u | K(y * x,T(z,x)) = u. [para(8054(a,1),13392(a,1))]. given #12281 (H,wt=16): 13410 K(x * y,T(z,y)) != u | K(y * x,z) = u. [para(13397(a,1),8174(a,1))]. given #12282 (H,wt=17): 13379 K(K(x,x * y) * z,u) = K(K(x,y) * z,u). [para(12280(a,1),13371(a,1,1)),flip(a)]. given #12283 (H,wt=17): 13380 K(K(x * y,x) * z,u) = K(K(y,x) * z,u). [para(12281(a,1),13371(a,1,1))]. given #12284 (H,wt=17): 13383 K(K(x,x \ y) * z,u) = K(K(x,y) * z,u). [para(12282(a,1),13371(a,1,1))]. given #12285 (H,wt=17): 13386 K(T(x / y,x) \ z,u) = K((y \ x) \ z,u). [para(4218(a,1),13374(a,1,1,1))]. given #12286 (H,wt=17): 13387 K(((x \ y) \ y) \ z,u) = K(T(x,y) \ z,u). [para(12116(a,1),13374(a,1,1,1)),flip(a)]. given #12287 (H,wt=16): 13428 K(T(x,y) \ y,z) != u | K(y / x,z) = u. [para(13387(a,1),8395(a,1))]. given #12288 (H,wt=16): 13429 K(x \ T(y,x),z) != u | K(y / x,z) = u. [para(4117(a,1),13428(a,1,1))]. given #12289 (H,wt=13): 13431 K(x \ T(y,x),z) = K(y / x,z). [hyper(13429,a,xx),flip(a)]. given #12290 (H,wt=17): 13388 K(x \ ((y \ z) \ z),u) = K(x \ T(y,z),u). [para(12116(a,1),13377(a,1,1,2)),flip(a)]. given #12291 (H,wt=17): 13389 K(x / T(y / z,y),u) = K(x / (z \ y),u). [para(4218(a,1),13381(a,1,1,2))]. given #12292 (H,wt=17): 13390 K(x / ((y \ z) \ z),u) = K(x / T(y,z),u). [para(12116(a,1),13381(a,1,1,2)),flip(a)]. given #12293 (H,wt=17): 13391 K(((x \ y) \ y) * z,u) = K(T(x,y) * z,u). [para(8385(a,1),13382(a,1,1,1))]. given #12294 (H,wt=17): 13394 K(x * y,T(T(z,y),u)) = K(y * x,T(z,u)). [hyper(13392,a,8075,a)]. given #12295 (H,wt=17): 13403 (x * y) * K(y * x,z) = T(x * y,T(z,y)). [para(13395(a,1),4887(a,2,2)),flip(a)]. given #12296 (H,wt=17): 13407 K((x \ 1) * y,T(z,x)) = K(y * (x \ 1),z). [hyper(9368,a,13397,a)]. given #12297 (H,wt=17): 13409 K(x * y,z) * (y * x) = T(y * x,T(z,y)). [para(13397(a,1),4897(a,2,1)),flip(a)]. given #12298 (H,wt=17): 13425 K(K(x \ y,x) * z,u) = K(K(y,x) * z,u). [para(14(a,1),13380(a,1,1,1,1)),flip(a)]. given #12299 (H,wt=17): 13434 K(T(x / y,x) * z,u) = K((y \ x) * z,u). [para(65(a,1),13391(a,1,1,1,1)),flip(a)]. given #12300 (H,wt=18): 13414 K(x * y,z) * y != y * u | K(y * x,z) = u. [para(13404(a,2),19(a,1))]. given #12301 (H,wt=18): 13423 K(x * y,z / y) != u | K(y * x,y \ z) = u. [para(8069(a,1),13410(a,1))]. given #12302 (H,wt=19): 13385 a(x,y,x) \ T(z * a(x,y,x),u) = z * K(z,u). [para(13373(a,1),12838(a,2,2))]. given #12303 (H,wt=17): 13440 a(x,y,x) \ T(z * a(x,y,x),u) = T(z,u). [hyper(236,a,4887,a,b,13385,a)]. given #12304 (H,wt=17): 13442 a(x,y,x) \ T(z,u) = T(a(x,y,x) \ z,u). [para(12289(a,1),13440(a,1,2,1))]. given #12305 (H,wt=19): 13439 T(x * (y / x),T(z,x)) = K(y,z) * (x * (y / x)). [para(16(a,1),13409(a,1,1,1)),flip(a)]. given #12306 (H,wt=19): 13444 K(x,y) * (z * (x / z)) = z * (T(x,T(y,z)) / z). [hyper(236,a,4615,a(flip),b,13439,a(flip))]. given #12307 (H,wt=20): 13393 K(K(x,x \ y) * z,u) != w | K(K(x,y) * z,u) = w. [para(12282(a,1),13372(a,1,1))]. given #12308 (H,wt=20): 13419 K(R(x,y,z) * u,x) != w | K(u * R(x,y,z),x) = w. [para(625(a,1),13398(a,1,2))]. given #12309 (H,wt=20): 13421 K((x \ y) * z,T(x,y)) != u | K(z * (x \ y),x) = u. [para(7238(a,1),13398(a,1))]. given #12310 (H,wt=21): 13402 K(x * T(x \ y,z),T(u,x)) = K(x * T(y / x,z),u). [para(405(a,1),13395(a,1,1))]. given #12311 (H,wt=21): 13415 T(x * K(x * y,z),y) \ T(x,T(y,z)) = K(z,x * y). [para(13404(a,1),12707(a,1,1,1))]. given #12312 (H,wt=21): 13427 K(K(x \ 1,y * x) * z,u) = K(K(x \ 1,y) * z,u). [para(5996(a,1),13383(a,1,1,1))]. given #12313 (H,wt=21): 13443 T(a(x,y,x) \ z,u) \ w = a(x,y,x) * (T(z,u) \ w). [para(13442(a,1),12947(a,1,1))]. given #12314 (H,wt=22): 13411 K(x * y,z) * T(z,T(z * (y * x),y)) = L(z,y * x,z). [para(13397(a,1),12069(a,1,1))]. given #12315 (H,wt=22): 13424 K(x * (y \ z),T(u,z \ y)) != w | K((y \ z) * x,u) = w. [para(9348(a,1),13410(a,1))]. given #12316 (H,wt=23): 13448 K(x * K((x \ y) \ 1,z),T(u,y)) = K(y * T(x / y,z),u). [para(5152(a,1),13402(a,1,1))]. given #12317 (H,wt=24): 13422 K(x * T(y,z),T(u,K(y,z))) != w | K(K(y,z) * (x * y),u) = w. [para(6201(a,1),13410(a,1,1))]. given #12318 (H,wt=25): 13430 K(x \ T(y,x),T(y,x) \ (x * z)) = K(y / x,(x \ T(y,x)) \ z). [hyper(13429,a,10645,a),flip(a)]. given #12319 (H,wt=23): 13451 K(x / y,(y \ T(x,y)) \ z) = K(x / y,T(x,y) \ (y * z)). [hyper(13429,a,13430,a),flip(a)]. given #12320 (H,wt=25): 13435 K(T((x \ y) * z,y \ x) * u,w) = K(T((x \ y) * z,z) * u,w). [para(6363(a,2),13391(a,1,1,1))]. given #12321 (H,wt=25): 13445 T(x,T(y,z)) \ (K(x,y) * (z * (x / z))) = K(z,T(x,T(y,z)) / z). [hyper(72,a,13444,a,b,250,a)]. given #12322 (H,wt=25): 13452 K(x,y) * (T(x,T(y,z)) \ (z * (x / z))) = K(z,T(x,T(y,z)) / z). [hyper(236,a,9685,a(flip),b,13445,a(flip)),flip(a)]. given #12323 (H,wt=26): 13426 K(K(x * (y * z),x * y) * u,w) = K(K(L(z,y,x),x * y) * u,w). [para(103(a,1),13380(a,1,1,1,1))]. given #12324 (H,wt=26): 13446 x * (T(y,T(z,x)) / x) != u * w | u \ (K(y,z) * (x * (y / x))) = w. [para(13444(a,1),545(a,1))]. given #12325 (H,wt=27): 13406 ((x * y) * L(T(x,y),y,z)) / (x * y) = L(T(x,y),y,z) * K(y * x,x). [para(13395(a,1),11843(a,2,2))]. given #12326 (H,wt=27): 13418 (T(x,y) * y) * (z / (T(x,y) * y)) = z * K(y * x,(T(x,y) * y) \ z). [para(13417(a,1),5079(a,1,2)),flip(a)]. given #12327 (H,wt=27): 13432 (x \ T(y,x)) * (z / (x \ T(y,x))) = z * K(y / x,(x \ T(y,x)) \ z). [para(13431(a,1),5079(a,1,2)),flip(a)]. given #12328 (H,wt=27): 13433 K((x \ (y * z)) \ z,x \ (y * z)) = K(y \ T(x,y * z),x \ (y * z)). [hyper(10733,a,13388,a)]. given #12329 (H,wt=27): 13453 L(T(x,y) * K(x * y,T(x,y)),y,z) = L(T(x,y),y,z) * K(y * x,x). [hyper(5657,a,13406,a)]. given #12330 (H,wt=25): 13455 L(T(x * K(x * y,x),y),y,z) = L(T(x,y),y,z) * K(y * x,x). [para(5493(a,1),13453(a,1,1))]. given #12331 (H,wt=20): 13456 L(T(x,y),y,z) * K(y * x,x) = L(R(x,y,x),y,z). [para(5494(a,1),13455(a,1,1)),flip(a)]. given #12332 (H,wt=27): 13454 K((x * y) \ (z * y),z \ (x * y)) = K(x \ T(z,x * y),z \ (x * y)). [hyper(236,a,10652,a(flip),b,13433,a(flip)),flip(a)]. given #12333 (H,wt=26): 13457 K((x * y) \ (z * y),z \ (x * y)) != u | K(x \ z,z \ (x * y)) = u. [para(13454(a,2),13210(a,1))]. given #12334 (H,wt=28): 13413 K(a(x,y,y \ 1),T(z,R(x,y,y \ 1))) = K((x \ 1) * R(x,y,y \ 1),z). [para(1073(a,1),13408(a,1,1,1)),flip(a)]. given #12335 (H,wt=28): 13420 K(x * K(y,(x \ z) \ 1),T(u,z)) != w | K(((y * (z \ x)) / y) * z,u) = w. [para(5456(a,2),13398(a,1,1))]. given #12336 (H,wt=29): 13211 K(x,(((K(y,z) * u) \ (z * u)) \ w) * v5) = K(x,(T(T(z,y),z * u) \ w) * v5). [para(5203(a,1),13151(a,1,2,1,1,1))]. given #12337 (H,wt=25): 13458 K(x,(T(T(y,z),y * u) \ w) * v5) = K(x,(T(T(y,z),u) \ w) * v5). [para(7678(a,1),13211(a,1,2,1,1)),flip(a)]. given #12338 (H,wt=29): 13292 K(x,K(y,z * (x / y))) * K(y / x,(x / y) * z) = K(x \ y,z * (x / y)). [hyper(236,a,9382,a(flip),b,13291,a)]. given #12339 (H,wt=29): 13318 ((x * (K(y,z) * u)) / x) / ((x * (u * K(y,z))) / x) = K(K(y,z) * u,T(u,x)). [para(13313(a,1),9129(a,1,2,1,2))]. given #12340 (H,wt=29): 13357 T(x * y,x) * L(T(x * y,x) \ z,u,w) = y * (x * L(x \ (y \ z),u,w)). [para(13343(a,1),11295(a,1,2)),flip(a)]. given #12341 (H,wt=27): 13459 T((x * y) * L((x * y) \ x,z,u),x) = y * (x * L(x \ (y \ x),z,u)). [hyper(236,a,2090,a(flip),b,13357,a(flip)),flip(a)]. given #12342 (H,wt=25): 13461 T(x * (y * L(y \ 1,z,u)),x) = y * (x * L(x \ (y \ x),z,u)). [para(852(a,1),13459(a,1,1))]. given #12343 (H,wt=23): 13462 T(x * (y * L(y \ 1,z,u)),x) = (y * L(y \ 1,z,u)) * x. [hyper(236,a,1701,a(flip),b,13461,a)]. given #12344 (H,wt=27): 13463 T(x * ((1 / y) * L(y,z,u)),x) = ((1 / y) * L((1 / y) \ 1,z,u)) * x. [para(65(a,1),13462(a,1,1,2,2,1))]. given #12345 (H,wt=25): 13464 T(x * (y \ L(y,z,u)),x) = ((1 / y) * L((1 / y) \ 1,z,u)) * x. [para(4767(a,1),13463(a,1,1,2))]. given #12346 (H,wt=21): 13465 T(x * (y \ L(y,z,u)),x) = ((1 / y) * L(y,z,u)) * x. [para(65(a,1),13464(a,2,1,2,1))]. given #12347 (H,wt=19): 13466 T(x * (y \ L(y,z,u)),x) = (y \ L(y,z,u)) * x. [para(4767(a,1),13465(a,2,1))]. given #12348 (H,wt=11): 13467 R(x,y \ L(y,z,u),x) = x. [hyper(4237,a,13466,a)]. given #12349 (H,wt=11): 13468 R(x,a(y,z,u) \ 1,x) = x. [hyper(236,a,13359,a,b,13467,a(flip)),flip(a)]. given #12350 (H,wt=29): 13368 (a(x,y,x) * (z * u)) \ (z * (a(x,y,x) * (u * w))) = L(w,a(x,y,x) * u,z). [para(12809(a,1),12945(a,1,2,2))]. given #12351 (H,wt=29): 13369 (x * (a(y,z,y) \ u)) \ (x * (a(y,z,y) \ (u * w))) = L(w,u,a(y,z,y) \ x). [para(12961(a,1),12965(a,1,1))]. given #12352 (H,wt=29): 13447 K((x \ 1) * T((x \ 1) \ y,z),T(u,x)) = K((x \ 1) * T(y / (x \ 1),z),u). [hyper(9368,a,13402,a)]. given #12353 (H,wt=25): 13472 K(x \ T(x * y,z),T(u,x)) = K((x \ 1) * T(y / (x \ 1),z),u). [para(877(a,1),13447(a,1,1))]. given #12354 (H,wt=23): 13473 K((x \ 1) * T(y / (x \ 1),z),u) = K(x \ T(y * x,z),u). [hyper(8399,a,13472,a),flip(a)]. given #12355 (H,wt=26): 13474 K((x \ 1) * T(y / (x \ 1),z),u) != w | K(x \ T(y * x,z),u) = w. [para(13472(a,1),8399(a,1))]. given #12356 (H,wt=29): 13470 a(x,y,x) * ((a(x,y,x) * (z * u)) \ (z * (u * w))) = L(w,a(x,y,x) * u,z). [hyper(13179,a,13368,a)]. given #12357 (H,wt=29): 13471 (x * (a(y,z,y) \ u)) \ (x * (u * (a(y,z,y) \ w))) = L(w,u,a(y,z,y) \ x). [para(12943(a,1),13369(a,1,2,2))]. given #12358 (H,wt=29): 13475 a(x,y,x) * ((z * u) \ (a(x,y,x) \ (z * (u * w)))) = L(w,a(x,y,x) * u,z). [para(12820(a,1),13470(a,1,2))]. given #12359 (H,wt=29): 13476 a(x,y,x) * ((z * u) \ (z * (a(x,y,x) \ (u * w)))) = L(w,a(x,y,x) * u,z). [para(12943(a,1),13475(a,1,2,2))]. given #12360 (H,wt=29): 13477 a(x,y,x) * ((z * u) \ (z * (u * (a(x,y,x) \ w)))) = L(w,a(x,y,x) * u,z). [para(12943(a,1),13476(a,1,2,2,2))]. given #12361 (H,wt=24): 13478 L(a(x,y,x) * (a(x,y,x) \ z),u,w) = L(z,a(x,y,x) * u,w). [hyper(13337,a,13477,a)]. given #12362 (H,wt=14): 13479 L(x,a(y,z,y) * u,w) = L(x,u,w). [para(14(a,1),13478(a,1,1)),flip(a)]. given #12363 (H,wt=14): 13480 L(x,a(y,z,y) \ u,w) = L(x,u,w). [para(14(a,1),13479(a,1,2)),flip(a)]. given #12364 (H,wt=14): 13481 L(x,y * a(z,u,z),w) = L(x,y,w). [para(12292(a,1),13479(a,1,2))]. given #12365 (H,wt=15): 13483 L(x,T(y,z) / z,u) = L(x,z \ y,u). [para(9065(a,1),13481(a,1,2))]. given #12366 (H,wt=15): 13484 L(x,y \ T(z,y),y) = L(x,y \ z,y). [hyper(236,a,11122,a(flip),b,13483,a(flip)),flip(a)]. given #12367 (H,wt=23): 13486 K(x,L(y,z \ T(u,z),z)) = K(x,y) * a(z,z \ u,K(y,x)). [para(13484(a,2),11482(a,2,2)),flip(a)]. given #12368 (H,wt=24): 13482 (x * (a(y,z,y) \ u)) \ (x * (u * (a(y,z,y) \ w))) = L(w,u,x). [hyper(236,a,12968,a,b,13480,a(flip)),flip(a)]. given #12369 (H,wt=14): 13488 L(x,y,a(z,u,z) \ w) = L(x,y,w). [hyper(236,a,13471,a(flip),b,13482,a(flip)),flip(a)]. given #12370 (H,wt=12): 13490 L(x,y,R(z,u,z)) = L(x,y,z). [para(9048(a,1),13488(a,1,3)),flip(a)]. given #12371 (H,wt=12): 13493 L(x,y,L(z,u,z)) = L(x,y,z). [para(9119(a,1),13488(a,1,3))]. given #12372 (H,wt=14): 13494 L(x,y,z * a(u,w,u)) = L(x,y,z). [para(12288(a,1),13488(a,1,3)),flip(a)]. given #12373 (H,wt=15): 13491 L(x,y,K(z,z * u)) = L(x,y,K(z,u)). [para(9062(a,1),13488(a,1,3))]. given #12374 (H,wt=15): 13492 L(x,y,K(z \ u,z)) = L(x,y,K(u,z)). [para(9035(a,1),13488(a,1,3))]. given #12375 (H,wt=10): 13504 L(x,y / z,K(y,z)) = x. [hyper(7340,a,13492,a)]. given #12376 (H,wt=15): 13498 L(x,y,T(z,z \ u)) = L(x,y,T(z,u)). [para(4297(a,1),13490(a,1,3))]. given #12377 (H,wt=15): 13499 L(x,y,(z \ u) \ u) = L(x,y,T(z,u)). [para(8385(a,1),13490(a,1,3))]. given #12378 (H,wt=15): 13501 L(x,y,K(z,z \ u)) = L(x,y,K(z,u)). [para(9076(a,1),13494(a,1,3))]. given #12379 (H,wt=10): 13507 L(x,y \ z,K(y,z)) = x. [hyper(5595,a,13501,a)]. given #12380 (H,wt=15): 13502 L(x,y,T(z * u,z)) = L(x,y,u * z). [para(11414(a,1),13494(a,1,3))]. given #12381 (H,wt=13): 13509 L(x,y,z * x) = L(x,y,x * z). [hyper(7388,a,13502,a),flip(a)]. given #12382 (H,wt=13): 13511 L(x,y,(x \ z) * x) = L(x,y,z). [para(14(a,1),13509(a,2,3))]. given #12383 (H,wt=15): 13510 L(x,y,(z \ u) * z) = L(x,y,T(u,z)). [para(14(a,1),13502(a,1,3,1)),flip(a)]. given #12384 (H,wt=16): 13495 L(x,y,L(z,u,z) \ w) = L(x,y,z \ w). [para(12294(a,1),13488(a,1,3)),flip(a)]. given #12385 (H,wt=15): 13514 L(x,y,z / T(u,z)) = L(x,y,u \ z). [para(4364(a,1),13495(a,1,3))]. given #12386 (H,wt=17): 13505 K(x,y) * ((x / y) * z) = (x / T(y,x)) * z. [para(13504(a,1),5385(a,1,2)),flip(a)]. given #12387 (H,wt=17): 13508 L(x,y,K(z \ u,u)) = L(x,y,K(z \ u,z)). [para(5006(a,1),13501(a,1,3)),flip(a)]. given #12388 (H,wt=15): 13517 L(x,y,K(z \ u,u)) = L(x,y,K(u,z)). [hyper(236,a,13492,a(flip),b,13508,a)]. given #12389 (H,wt=17): 13516 K(x,y) * ((y / T(x,y)) * z) = (y / x) * z. [hyper(5285,a,13505,a)]. given #12390 (H,wt=12): 13518 R(K(x,y),x \ y,z) = K(x,y). [hyper(9528,a,13516,a)]. given #12391 (H,wt=14): 13519 R(K(x,x * y),y,z) = K(x,x * y). [para(13(a,1),13518(a,1,2))]. given #12392 (H,wt=16): 13521 K(x,R(y \ 1,y,z) \ x) = K(x,x * y). [hyper(236,a,11920,a,b,13519,a(flip)),flip(a)]. given #12393 (H,wt=18): 13496 L(x,y,z * (a(u,w,u) \ v5)) = L(x,y,z * v5). [para(12943(a,1),13488(a,1,3))]. given #12394 (H,wt=18): 13522 T(x,R(y \ 1,y,z) \ x) = x * K(x,x * y). [para(13519(a,1),11923(a,2,2))]. given #12395 (H,wt=16): 13526 T(x,R(y \ 1,y,z) \ x) = T(x,x * y). [hyper(236,a,4887,a,b,13522,a)]. given #12396 (H,wt=15): 13527 T(x,(y / (z * y)) \ x) = T(x,x * z). [hyper(236,a,4522,a(flip),b,13526,a(flip)),flip(a)]. given #12397 (H,wt=15): 13528 T(x,(y / z) \ x) = T(x,x * (z / y)). [para(16(a,1),13527(a,1,2,1,2))]. given #12398 (H,wt=15): 13529 T(x,(y * x) / z) = T(x,x * (y / z)). [hyper(236,a,9746,a,b,13528,a(flip)),flip(a)]. given #12399 (H,wt=17): 13530 x * K(x,x * (y / z)) = T(x,(y * x) / z). [hyper(236,a,4887,a(flip),b,13529,a),flip(a)]. given #12400 (H,wt=15): 13531 K(x,(y * x) / z) = K(x,x * (y / z)). [hyper(17,a,4887,a(flip),b,13530,a),flip(a)]. given #12401 (H,wt=15): 13532 K(x,(y / z) \ x) = K(x,x * (z / y)). [hyper(9731,a,13531,a)]. given #12402 (H,wt=19): 13503 L(x,y,K(z,u \ (w * z))) = L(x,y,K(z,u \ w)). [para(10839(a,2),13491(a,1,3))]. given #12403 (H,wt=19): 13506 L(x,y,T(z * u,u \ 1)) = L(x,y,T(z * u,z)). [para(6365(a,1),13498(a,1,3))]. given #12404 (H,wt=17): 13535 L(x,y,T(z * u,u \ 1)) = L(x,y,u * z). [hyper(236,a,13502,a(flip),b,13506,a)]. given #12405 (H,wt=19): 13513 L(x,y,T((z \ u) * z,w)) = L(x,y,T(T(u,w),z)). [para(4639(a,2),13510(a,1,3))]. given #12406 (H,wt=19): 13515 L(x,y,((z \ u) \ u) \ w) = L(x,y,T(z,u) \ w). [para(12116(a,1),13495(a,1,3,1)),flip(a)]. given #12407 (H,wt=19): 13524 L(x,y,z * K(u,u * w)) = L(x,y,z * K(u,w)). [para(9062(a,1),13496(a,1,3,2))]. given #12408 (H,wt=19): 13525 L(x,y,z * K(u \ w,u)) = L(x,y,z * K(w,u)). [para(9035(a,1),13496(a,1,3,2))]. given #12409 (H,wt=19): 13536 L(x,y,T(T(z,u \ 1),u)) = L(x,y,u * (u \ z)). [hyper(236,a,13535,a(flip),b,13513,a(flip))]. given #12410 (H,wt=15): 13540 L(x,y,T(T(z,u \ 1),u)) = L(x,y,z). [para(14(a,1),13536(a,2,3))]. given #12411 (H,wt=17): 13541 L(x,y,T(z \ u,z \ 1)) = L(x,y,u / z). [para(183(a,1),13540(a,1,3))]. given #12412 (H,wt=19): 13538 L(x,y,z * K(u,u \ w)) = L(x,y,z * K(u,w)). [para(14(a,1),13524(a,1,3,2,2)),flip(a)]. given #12413 (H,wt=21): 13500 ((x * (y * x)) / x) \ (L(x,y,x) * z) = L(y \ z,y,x). [hyper(236,a,4246,a(flip),b,13493,a(flip)),flip(a)]. given #12414 (H,wt=21): 13537 L(x,y,((z \ u) \ u) \ (z * w)) = L(x,y,K(u,z) * w). [para(5203(a,1),13515(a,2,3))]. given #12415 (H,wt=19): 13544 L(x,y,K(z \ u,z) * w) = L(x,y,K(u,z) * w). [para(5352(a,1),13537(a,1,3))]. given #12416 (H,wt=21): 13542 L(x,y,z / ((u \ w) * u)) = L(x,y,(z / w) * K(u,w)). [para(10451(a,1),13538(a,1,3))]. given #12417 (H,wt=19): 13545 L(x,y,z / ((u \ w) * u)) = L(x,y,z / T(w,u)). [para(7555(a,1),13542(a,2,3))]. given #12418 (H,wt=19): 13546 L(x,y,T(z,z \ u) / u) = L(x,y,z / T(u,z)). [para(4174(a,2),13545(a,1,3))]. given #12419 (H,wt=17): 13547 L(x,y,T(z,z \ u) / u) = L(x,y,u \ z). [hyper(236,a,13514,a(flip),b,13546,a)]. given #12420 (H,wt=23): 13533 (x * K(y,y * (z / u))) / (y \ x) = T(y,T((z * y) / u,x)). [para(13531(a,1),8105(a,1,1,2))]. given #12421 (H,wt=19): 13549 T(x,T((y * x) / z,u)) = T(x,T(x * (y / z),u)). [hyper(8226,a,13533,a),flip(a)]. given #12422 (H,wt=19): 13550 T(x,T(y / (x \ z),u)) = T(x,T(x * (y / z),u)). [hyper(236,a,8727,a(flip),b,13549,a(flip)),flip(a)]. given #12423 (H,wt=19): 13551 T(x,T((y / z) \ x,u)) = T(x,T(x * (z / y),u)). [hyper(9944,a,13550,a)]. given #12424 (H,wt=23): 13534 R(K(x,x * (y / z)),x * u,w) = K(R(x,u,w),(z / y) \ x). [para(13532(a,1),6678(a,1,1))]. given #12425 (H,wt=21): 13552 K(R(x,y,z),(u / w) \ x) = K(R(x,y,z),x * (w / u)). [hyper(236,a,6678,a(flip),b,13534,a(flip))]. given #12426 (H,wt=24): 13523 R(K(x,x * y),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(13521(a,1),11925(a,1,1))]. given #12427 (H,wt=24): 13553 R(K(x,x * y),y * z,u) = K(x,x * (((y * z) * u) / (z * u))). [hyper(236,a,13532,a(flip),b,13523,a)]. given #12428 (H,wt=19): 13555 R(K(x,x * y),y * z,u) = K(x,x * R(y,z,u)). [para(30(a,2),13553(a,2,2,2))]. given #12429 (H,wt=19): 13556 K(x,R(x * y,y * z,u)) = K(x,x * R(y,z,u)). [hyper(12888,a,13555,a)]. given #12430 (H,wt=28): 13512 L(x,y,L(z \ u,z,w / u) * ((w / u) * z)) = L(x,y,T(w,(w / u) * z)). [para(454(a,2),13510(a,1,3,1))]. given #12431 (H,wt=29): 13548 L(x,y,(z * (u / z)) \ z) = L(x,y,T(u / (u / z),(u / (u / z)) \ u) / u). [para(5319(a,2),13547(a,2,3)),flip(a)]. given #12432 (H,wt=17): 13557 L(x,y,(z * (u / z)) \ z) = L(x,y,z / u). [para(270(a,1),13548(a,2,3,1))]. given #12433 (H,wt=17): 13558 L(x,y,z / (u * z)) = L(x,y,(z * u) \ z). [para(15(a,1),13557(a,1,3,1,2)),flip(a)]. given #12434 (H,wt=18): 13559 L(x,y,(x * y) \ x) \ x = (x / (y * x)) * y. [para(13558(a,1),6064(a,1,1))]. given #12435 (H,wt=30): 12810 ((a(x,y,x) \ z) * u) * a(a(x,y,x),a(x,y,x) \ z,u) = a(x,y,x) \ (z * u). [para(12803(a,1),1452(a,1,1)),flip(a)]. given #12436 (H,wt=30): 13219 K(x * (T(y,T(z,u)) / ((u \ z) * u)),w) != v5 | K(x * (((u \ z) * u) \ y),w) = v5. [para(13003(a,1),13215(a,1,1,2,1))]. given #12437 (H,wt=31): 12830 (a(x,y,x) * (z * (u * w))) \ (((a(x,y,x) * z) * u) * w) = a(a(x,y,x) * z,u,w). [para(12809(a,1),24(a,2,1)),flip(a)]. given #12438 (H,wt=31): 12952 (x * (y * (a(z,u,z) * w))) \ ((x * (y * a(z,u,z))) * w) = a(x,y * a(z,u,z),w). [para(12942(a,1),24(a,2,1,2)),flip(a)]. given #12439 (H,wt=31): 12966 (x * (a(y,z,y) \ (u * w))) \ (((a(y,z,y) \ x) * u) * w) = a(a(y,z,y) \ x,u,w). [para(12961(a,1),24(a,2,1)),flip(a)]. given #12440 (H,wt=31): 13247 K(x,K(y,z)) * ((u \ K(x,z * y)) * u) = K(x,y * z) * K(u \ K(x,z * y),u). [para(13240(a,1),10659(a,1,1)),flip(a)]. given #12441 (H,wt=31): 13248 x * (K((y * z) \ x,z * y) * K((y * z) \ x,K(z,y))) = ((y * z) \ x) * (y * z). [para(13242(a,2),249(a,1,2))]. given #12442 (H,wt=31): 13250 a(x,x \ y,x) * T(z,K(x,y) * a(x,x \ y,x)) = K(x,y) \ (z * K(x,x \ y)). [para(9076(a,1),12950(a,1,2,2)),flip(a)]. given #12443 (H,wt=31): 13416 K((x * (y / z)) \ x,((x * (y / z)) \ x) \ x) = (x * K((y / z) * x,z / y)) \ x. [para(13405(a,1),11314(a,2,1))]. given #12444 (H,wt=31): 13436 ((x * (K(y,z) * u)) / x) / ((x * (u * K(y,z))) / x) = K(z,K(u * K(y,z),T(y,x))). [para(13394(a,1),11278(a,2,2))]. given #12445 (H,wt=31): 13560 (a(x,y,x) * (z * (u * w))) \ ((a(x,y,x) * (z * u)) * w) = a(a(x,y,x) * z,u,w). [para(12809(a,1),12830(a,1,2,1))]. given #12446 (H,wt=31): 13561 (x * (y * (a(z,u,z) * w))) \ ((x * y) * (a(z,u,z) * w)) = a(x,y * a(z,u,z),w). [para(12954(a,1),12952(a,1,2))]. given #12447 (H,wt=19): 13566 a(x,y * a(z,u,z),w) = a(x,y,a(z,u,z) * w). [hyper(679,a,13561,a),flip(a)]. given #12448 (H,wt=19): 13567 a(x,a(y,z,y) * u,w) = a(x,u,a(y,z,y) * w). [para(12292(a,2),13566(a,1,2))]. given #12449 (H,wt=31): 13562 (x * (y * (a(z,u,z) \ w))) \ (((a(z,u,z) \ x) * y) * w) = a(a(z,u,z) \ x,y,w). [para(12943(a,1),12966(a,1,1,2))]. given #12450 (H,wt=31): 13563 a(x,x \ y,x) * T(z,K(x,y) * a(x,x \ y,x)) = K(y,x) * (z * K(x,x \ y)). [hyper(236,a,5260,a(flip),b,13250,a)]. given #12451 (H,wt=24): 13569 a(x,x \ y,x) * T(z,K(x,y)) = K(y,x) * (z * K(x,x \ y)). [para(12980(a,1),13563(a,1,2))]. given #12452 (H,wt=23): 13570 K(x,x \ y) * (z * K(y,x)) = K(y,x) * (z * K(x,x \ y)). [hyper(236,a,12378,a(flip),b,13569,a(flip)),flip(a)]. given #12453 (H,wt=31): 13564 K((x * (y / z)) \ x,((x * (y / z)) \ x) \ x) = (x * K((z \ y) * x,z / y)) \ x. [para(9658(a,1),13416(a,2,1,2))]. given #12454 (H,wt=27): 13572 K((x * (y / z)) \ x,((x * (y / z)) \ x) \ x) = K(z / y,(z \ y) * x). [hyper(236,a,7549,a(flip),b,13564,a)]. given #12455 (H,wt=25): 13573 K((x * (y / z)) \ x,T(x * (y / z),x)) = K(z / y,(z \ y) * x). [hyper(7814,a,13572,a)]. given #12456 (H,wt=23): 13575 K((x * (y / z)) \ x,(y / z) * x) = K(z / y,(z \ y) * x). [hyper(13066,a,13573,a)]. given #12457 (H,wt=21): 13576 K((x / y) \ 1,(x / y) * z) = K(y / x,(y \ x) * z). [hyper(6345,a,13575,a)]. given #12458 (H,wt=21): 13577 K((x / y) \ 1,z * (x / y)) = K(y / x,(y \ x) * z). [hyper(7108,a,13576,a)]. given #12459 (H,wt=19): 13580 K(x / y,(x \ y) * z) = K(x / y,z * (y / x)). [hyper(5825,a,13577,a),flip(a)]. given #12460 (H,wt=25): 13579 ((x / y) \ 1) * (z / ((x / y) \ 1)) = z * K(y / x,(y \ x) * z). [para(13576(a,1),7103(a,2,2))]. given #12461 (H,wt=31): 13565 (a(x,y,x) * (z * (u * w))) \ (a(x,y,x) * ((z * u) * w)) = a(a(x,y,x) * z,u,w). [para(12809(a,1),13560(a,1,2))]. given #12462 (H,wt=24): 13581 L(a(x,y,z),x * (y * z),a(u,w,u)) = a(a(u,w,u) * x,y,z). [hyper(787,a,13565,a)]. given #12463 (H,wt=14): 13582 a(a(x,y,x) * z,u,w) = a(z,u,w). [hyper(12826,a,13581,a)]. given #12464 (H,wt=12): 13586 a(R(x,y,x),z,u) = a(x,z,u). [para(9046(a,1),13582(a,1,1))]. given #12465 (H,wt=14): 13585 a(a(x,y,x) \ z,u,w) = a(z,u,w). [para(14(a,1),13582(a,1,1)),flip(a)]. given #12466 (H,wt=15): 13587 a(K(x,x \ y),z,u) = a(K(x,y),z,u). [para(9078(a,1),13582(a,1,1))]. given #12467 (H,wt=15): 13593 a(K(x \ y,x),z,u) = a(K(y,x),z,u). [para(9035(a,1),13585(a,1,1))]. given #12468 (H,wt=17): 13583 a(a(x,y,x) * z,u,w) != v5 | a(z,u,w) = v5. [para(13581(a,1),12826(a,1)),flip(b)]. given #12469 (H,wt=17): 13594 a(K(x \ 1,y),z,u) = a(K(x \ y,y),z,u). [para(9072(a,1),13585(a,1,1))]. given #12470 (H,wt=17): 13596 a(K(x,y \ x),z,u) = a(K(y,y \ x),z,u). [para(4998(a,1),13593(a,1,1)),flip(a)]. given #12471 (H,wt=15): 13601 a(K(x,y \ x),z,u) = a(K(y,x),z,u). [hyper(236,a,13587,a(flip),b,13596,a)]. given #12472 (H,wt=15): 13602 a(K(x \ y,y),z,u) = a(K(y,x),z,u). [para(5305(a,1),13601(a,1,1)),flip(a)]. given #12473 (H,wt=15): 13603 a(K(x \ 1,y),z,u) = a(K(y,x),z,u). [hyper(236,a,13594,a,b,13602,a(flip)),flip(a)]. given #12474 (H,wt=15): 13604 a(K(x,y \ 1),z,u) = a(K(y,x),z,u). [para(3247(a,1),13603(a,1,1)),flip(a)]. given #12475 (H,wt=18): 13590 a(x * (a(y,z,y) * u),w,v5) = a(x * u,w,v5). [para(12938(a,1),13582(a,1,1))]. given #12476 (H,wt=18): 13592 a(L(R(x,y,x),z,u),w,v5) = a(L(x,z,u),w,v5). [para(11356(a,1),13586(a,1,1))]. given #12477 (H,wt=18): 13597 a(K(x,x \ 1) * y,z,u) != w | a(y,z,u) = w. [para(3629(a,1),13583(a,1,1,1))]. given #12478 (H,wt=16): 13610 a(1 / x,y,z) != u | a(x \ 1,y,z) = u. [para(1835(a,1),13597(a,1,1))]. given #12479 (H,wt=18): 13598 a(T(x * y,x),z,u) != w | a(y * x,z,u) = w. [para(9061(a,1),13583(a,1,1))]. given #12480 (H,wt=18): 13599 a(K(x,x \ y),z,u) != w | a(K(x,y),z,u) = w. [para(9078(a,1),13583(a,1,1))]. given #12481 (H,wt=19): 13588 a(K(x * y,x) * z,u,w) = a(K(y,x) * z,u,w). [para(12281(a,1),13582(a,1,1))]. given #12482 (H,wt=19): 13589 a(K(x,x \ y) * z,u,w) = a(K(x,y) * z,u,w). [para(12282(a,1),13582(a,1,1))]. given #12483 (H,wt=17): 13612 a(K(x,y) * (x \ y),z,u) = a(y / x,z,u). [para(5073(a,1),13589(a,1,1)),flip(a)]. given #12484 (H,wt=19): 13595 K(x,x * (y \ R(y,z,u))) = a(K(x,y),z * y,u). [hyper(236,a,13335,a,b,13593,a(flip)),flip(a)]. given #12485 (H,wt=19): 13608 a(x * K(y * z,y),u,w) = a(x * K(z,y),u,w). [para(9053(a,1),13590(a,1,1,2))]. given #12486 (H,wt=19): 13609 a(x * K(y,y \ z),u,w) = a(x * K(y,z),u,w). [para(9078(a,1),13590(a,1,1,2))]. given #12487 (H,wt=19): 13611 a(K(x \ y,x) * z,u,w) = a(K(y,x) * z,u,w). [para(14(a,1),13588(a,1,1,1,1)),flip(a)]. given #12488 (H,wt=20): 13584 L(a(x,y,z),u,a(w,v5,w)) = a(a(v6,v7,v6) * x,y,z). [hyper(236,a,12816,a,b,13582,a),flip(a)]. given #12489 (H,wt=20): 13591 a((x * L(y,z,y)) \ u,w,v5) = a((x * y) \ u,w,v5). [para(12960(a,1),13582(a,1,1))]. given #12490 (H,wt=21): 13606 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(x,y),z,u). [hyper(236,a,12540,a,b,13604,a(flip)),flip(a)]. given #12491 (H,wt=21): 13607 a(K(x,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u)),w,v5). [para(12874(a,1),13604(a,2,1))]. given #12492 (H,wt=21): 13618 a(K(x,y) * ((y \ x) \ z),u,w) = a((x / y) \ z,u,w). [para(5507(a,1),13611(a,1,1)),flip(a)]. given #12493 (H,wt=21): 13621 a((x * ((x \ y) * x)) \ z,u,w) = a((y * x) \ z,u,w). [para(433(a,1),13591(a,1,1,1))]. given #12494 (H,wt=23): 13600 a((L(x,y,x) \ z) * u,w,v5) != v6 | a((x \ z) * u,w,v5) = v6. [para(12832(a,1),13583(a,1,1))]. given #12495 (H,wt=23): 13617 a(x * K(y \ 1,y * z),u,w) = a(x * K(y \ 1,z),u,w). [para(7101(a,1),13609(a,1,1,2))]. given #12496 (H,wt=24): 13620 a((x * L(T(y,x),z,T(y,x))) \ u,w,v5) = a((y * x) \ u,w,v5). [para(119(a,1),13591(a,2,1,1))]. given #12497 (H,wt=22): 13623 a((x * L(T(y,x),z,y)) \ u,w,v5) = a((y * x) \ u,w,v5). [para(7536(a,1),13620(a,1,1,1,2))]. given #12498 (H,wt=20): 13624 a((L(x,y,x) * z) \ u,w,v5) = a((x * z) \ u,w,v5). [para(181(a,1),13623(a,1,1,1))]. given #12499 (H,wt=25): 13613 a(((x * (y / x)) \ x) \ z,u,w) = a(K(x,y) * ((y \ x) \ z),u,w). [para(13304(a,1),13589(a,1,1))]. given #12500 (H,wt=21): 13627 a(((x * (y / x)) \ x) \ z,u,w) = a((x / y) \ z,u,w). [hyper(236,a,13618,a(flip),b,13613,a)]. given #12501 (H,wt=21): 13628 a((x \ (x / (x / y))) \ z,u,w) = a((y / x) \ z,u,w). [para(5319(a,1),13627(a,1,1,1))]. given #12502 (H,wt=27): 13605 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(y,x * z,u) \ 1,x),w,v5). [para(11039(a,2),13603(a,2,1)),flip(a)]. given #12503 (H,wt=25): 13629 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(y \ 1,R(x,z,u)),w,v5). [para(6831(a,1),13605(a,2,1))]. given #12504 (H,wt=23): 13630 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(x,z,u),y),w,v5). [hyper(236,a,13603,a(flip),b,13629,a)]. given #12505 (H,wt=21): 13631 a(K(x,R(y,x * z,u)),w,v5) = a(K(R(x,z,u),y),w,v5). [para(11039(a,1),13630(a,1,1))]. given #12506 (H,wt=21): 13632 a(K(x,R(y,x * z,u)),w,v5) = a(K(x,R(y,z,u)),w,v5). [para(12874(a,1),13631(a,2,1))]. given #12507 (H,wt=27): 13622 R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(x,R(y,w,v5)),z,u). [hyper(236,a,12596,a,b,13607,a(flip)),flip(a)]. given #12508 (H,wt=19): 13633 a(K(x,R(y,z,u)),w,v5) = R(a(K(x,y),w,v5),z,u). [para(13606(a,1),13622(a,1,1)),flip(a)]. given #12509 (H,wt=25): 13634 a(K(x,R(y,x * R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(236,a,13365,a(flip),b,13633,a)]. given #12510 (H,wt=23): 13635 a(K(x,R(y,R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(236,a,13632,a(flip),b,13634,a(flip)),flip(a)]. given #12511 (H,wt=29): 13614 (x * K(y \ R(y,z,u),x)) \ L(x,y \ R(y,z,u),x) = a(K(x,y),z * y,u). [hyper(236,a,5785,a,b,13595,a(flip)),flip(a)]. given #12512 (H,wt=29): 13616 a(x * K((y * z) * (z \ 1),y * z),u,w) = a(x * K(z \ 1,z * y),u,w). [para(7102(a,1),13608(a,2,1,2))]. given #12513 (H,wt=31): 13568 (x * (y * (a(z,u,z) \ w))) \ ((x * (a(z,u,z) \ y)) * w) = a(a(z,u,z) \ x,y,w). [para(12961(a,1),13562(a,1,2,1))]. given #12514 (H,wt=31): 13636 (x * (y * (a(z,u,z) \ w))) \ ((x * y) * (a(z,u,z) \ w)) = a(a(z,u,z) \ x,y,w). [para(12973(a,1),13568(a,1,2))]. given #12515 (H,wt=19): 13637 a(a(x,y,x) \ z,u,w) = a(z,u,a(x,y,x) \ w). [hyper(679,a,13636,a),flip(a)]. given #12516 (H,wt=14): 13638 a(x,y,a(z,u,z) \ w) = a(x,y,w). [hyper(236,a,13585,a(flip),b,13637,a(flip))]. given #12517 (H,wt=14): 13641 a(x,y,a(z,u,z) * w) = a(x,y,w). [para(13(a,1),13638(a,1,3)),flip(a)]. given #12518 (H,wt=14): 13644 a(x,a(y,z,y) * u,w) = a(x,u,w). [hyper(236,a,13567,a,b,13641,a(flip)),flip(a)]. given #12519 (H,wt=12): 13647 a(x,R(y,z,y),u) = a(x,y,u). [para(9046(a,1),13644(a,1,2))]. given #12520 (H,wt=14): 13646 a(x,a(y,z,y) \ u,w) = a(x,u,w). [para(14(a,1),13644(a,1,2)),flip(a)]. given #12521 (H,wt=12): 13649 a(x,L(y,z,y),u) = a(x,y,u). [para(9119(a,1),13646(a,1,2))]. given #12522 (H,wt=15): 13648 a(x,T(y * z,y),u) = a(x,z * y,u). [para(9061(a,1),13644(a,1,2))]. given #12523 (H,wt=15): 13650 a(x,(y \ z) * y,u) = a(x,T(z,y),u). [para(14(a,1),13648(a,1,2,1)),flip(a)]. given #12524 (H,wt=16): 13642 a(x,y,L(z,u,z) \ w) = a(x,y,z \ w). [para(12294(a,1),13638(a,1,3)),flip(a)]. given #12525 (H,wt=16): 13643 a(x,y,R(z,u,z) \ w) = a(x,y,z \ w). [para(12339(a,1),13638(a,1,3))]. given #12526 (H,wt=17): 13652 a(x,y,z \ (u * z)) = a(x,y,(z \ u) * z). [para(463(a,1),13643(a,1,3)),flip(a)]. given #12527 (H,wt=15): 13653 a(x,y,(z \ u) * z) = a(x,y,T(u,z)). [para(32(a,2),13652(a,1,3)),flip(a)]. given #12528 (H,wt=19): 13651 a(x,T((y \ z) * y,u),w) = a(x,T(T(z,u),y),w). [para(4639(a,2),13650(a,1,2))]. given #12529 (H,wt=20): 13639 a(x,K(y,y \ 1) * z,u) = a(x,z,a(w,v5,w) \ u). [hyper(10967,a,13638,a),flip(a)]. given #12530 (H,wt=17): 13654 a(x,y,a(z,u,z) \ w) != v5 | a(x,y,w) = v5. [para(13639(a,1),10967(a,1))]. given #12531 (H,wt=17): 13657 a(a(x,y,x) \ z,u,w) != v5 | a(z,u,w) = v5. [para(13637(a,2),13654(a,1))]. given #12532 (H,wt=18): 13655 a(x,y,K(z,z * u)) != w | a(x,y,K(z,u)) = w. [para(9062(a,1),13654(a,1,3))]. given #12533 (H,wt=18): 13656 a(x,y,K(z \ u,z)) != w | a(x,y,K(u,z)) = w. [para(9035(a,1),13654(a,1,3))]. given #12534 (H,wt=18): 13658 a(K(x \ y,x),z,u) != w | a(K(y,x),z,u) = w. [para(9035(a,1),13657(a,1,1))]. given #12535 (H,wt=18): 13659 a(x,y,K(z,u)) != w | a(x,y,K(z,z \ u)) = w. [para(14(a,1),13655(a,1,3,2))]. given #12536 (H,wt=20): 13660 a(x,y,K(z,z \ u)) != w | a(x,y,K(u,z \ u)) = w. [para(4998(a,1),13656(a,1,3))]. given #12537 (H,wt=22): 13661 a(x,y,K(z \ (u \ w),u)) != v5 | a(x,y,K(z \ w,u)) = v5. [para(10658(a,2),13656(a,1,3))]. given #12538 (H,wt=32): 12929 ((x * y) * (z * a(u,w,u))) / ((y * z) * a(u,w,u)) = R(R(x,y,z),y * z,a(u,w,u)). [para(12914(a,1),468(a,1,1))]. given #12539 (H,wt=32): 13349 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(13345(a,1),12633(a,1,2,1))]. given #12540 (H,wt=29): 13663 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(13345(a,1),13349(a,1,2,2,1))]. given #12541 (H,wt=29): 13665 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(4255(a,2),13663(a,1,2))]. given #12542 (H,wt=26): 13668 L(x,y,z) * T(R(u,x,u),x * u) = T(T(u,u * x) * L(x,y,z),u). [para(12987(a,1),13665(a,1,2))]. given #12543 (H,wt=21): 13669 T(T(x,x * y) * L(y,z,u),x) = L(y,z,u) * T(x,y). [para(759(a,1),13668(a,1,2)),flip(a)]. given #12544 (H,wt=19): 13671 T(x * L(y,z,u),x * y) = L(y,z,u) * T(x,y). [hyper(236,a,4052,a(flip),b,13669,a(flip)),flip(a)]. given #12545 (H,wt=26): 13672 (x * L(y,z,u)) \ (L(y,z,u) * T(x,y)) = K(x * L(y,z,u),x * y). [hyper(72,a,13671,a(flip),b,4887,a(flip))]. given #12546 (H,wt=21): 13674 K(x * L(y,z,u),x * y) = K(x,y) * K(L(y,z,u),x). [hyper(9032,a,13672,a),flip(a)]. given #12547 (H,wt=17): 13675 K(x * L(y,z,u),x * y) = a(u,z,K(x,y)). [hyper(236,a,11522,a(flip),b,13674,a)]. given #12548 (H,wt=22): 13676 K(x,(x / L(y,z,u)) * y) = a(u,z,K(x / L(y,z,u),y)). [para(16(a,1),13675(a,1,1))]. given #12549 (H,wt=22): 13677 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x / L(y,z,u),y)). [hyper(236,a,6868,a(flip),b,13676,a(flip)),flip(a)]. given #12550 (H,wt=19): 13678 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(y \ x,y)). [para(11440(a,1),13677(a,2,3))]. given #12551 (H,wt=17): 13679 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x,y)). [hyper(236,a,11740,a(flip),b,13678,a)]. given #12552 (H,wt=11): 13682 L(x,y,a(z,u,K(y,w))) = x. [para(13679(a,1),3972(a,1,3))]. given #12553 (H,wt=11): 13683 L(x,y,a(z,u,K(x,w))) = x. [para(13679(a,1),7192(a,1,3))]. given #12554 (H,wt=17): 13681 K(x,x * (L(y,z,u) \ y)) = a(u,z,K(x,y)). [hyper(10883,a,13679,a)]. given #12555 (H,wt=21): 13684 (a(x,y,K(z,u)) * z) * w = a(x,y,K(z,u)) * (z * w). [para(13682(a,1),103(a,1,2))]. given #12556 (H,wt=24): 13687 K(x / (L(y,z,u) \ y),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). [para(16(a,1),13681(a,1,2))]. given #12557 (H,wt=24): 13688 K((L(x,y,z) \ x) \ u,u) = a(z,y,K(u / (L(x,y,z) \ x),x)). [hyper(6502,a,13687,a)]. given #12558 (H,wt=24): 13689 K(x * (y \ L(y,z,u)),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). [hyper(10873,a,13688,a)]. given #12559 (H,wt=21): 13690 K(x * (y \ L(y,z,u)),x) = a(u,z,K((y / x) \ y,y)). [para(11443(a,1),13689(a,2,3))]. given #12560 (H,wt=17): 13691 K(x * (y \ L(y,z,u)),x) = a(u,z,K(x,y)). [para(65(a,1),13690(a,2,3,1))]. given #12561 (H,wt=21): 13694 K(x,x * (y \ L(y,z,u))) = w / (a(u,z,K(x,y)) * w). [para(13691(a,1),5266(a,1,2,1)),flip(a)]. given #12562 (H,wt=17): 13695 K(x,x * (y \ L(y,z,u))) = a(u,z,K(y,x)). [hyper(236,a,11994,a(flip),b,13694,a)]. given #12563 (H,wt=19): 13696 T(x,x * (y \ L(y,z,u))) = x * a(u,z,K(y,x)). [para(13695(a,1),4887(a,2,2))]. given #12564 (H,wt=21): 13697 a(x,y,K(z,u \ L(u,w,v5))) = a(x,y,a(v5,w,K(u,z))). [para(13695(a,1),12003(a,1,3)),flip(a)]. given #12565 (H,wt=21): 13698 a(x,y,K(L(z,u,w) \ z,v5)) = a(x,y,a(w,u,K(z,v5))). [hyper(236,a,12009,a,b,13697,a(flip)),flip(a)]. given #12566 (H,wt=26): 13673 T(x * L(y,z,u),x * y) != w * v5 | w \ (L(y,z,u) * T(x,y)) = v5. [para(13671(a,2),545(a,1))]. given #12567 (H,wt=27): 13686 (x * K(L(y,z,u) \ y,x)) \ L(x,L(y,z,u) \ y,x) = a(u,z,K(x,y)). [hyper(236,a,5785,a,b,13681,a(flip)),flip(a)]. given #12568 (H,wt=25): 13701 (x * K(L(y,z,u) \ y,x)) \ L(x,a(u,z,y),x) = a(u,z,K(x,y)). [para(13355(a,1),13686(a,1,2))]. given #12569 (H,wt=25): 13702 K(x,L(y,z,u) \ y) * (x \ L(x,a(u,z,y),x)) = a(u,z,K(x,y)). [hyper(5875,a,13701,a)]. given #12570 (H,wt=23): 13703 x \ L(T(x,L(y,z,u) \ y),a(u,z,y),x) = a(u,z,K(x,y)). [hyper(8483,a,13702,a)]. given #12571 (H,wt=27): 13700 K(a(x,y,z),u) * a(x * y,z,a(x,y,K(z,u))) = K(L(z,y,x) \ z,u). [para(13698(a,1),10202(a,1,2))]. given #12572 (H,wt=17): 13704 K(L(x,y,z) \ x,u) = K(a(z,y,x),u) * 1. [para(10233(a,1),13700(a,1,2)),flip(a)]. given #12573 (H,wt=15): 13705 K(L(x,y,z) \ x,u) = K(a(z,y,x),u). [hyper(236,a,12,a(flip),b,13704,a)]. given #12574 (H,wt=19): 13707 K(x,L(y,z,u) \ y) = w / (K(a(u,z,y),x) * w). [para(13705(a,1),5266(a,1,2,1)),flip(a)]. given #12575 (H,wt=15): 13708 K(x,L(y,z,u) \ y) = K(x,a(u,z,y)). [hyper(236,a,5266,a(flip),b,13707,a)]. given #12576 (H,wt=17): 13709 T(x,L(y,z,u) \ y) = x * K(x,a(u,z,y)). [para(13708(a,1),4887(a,2,2))]. given #12577 (H,wt=15): 13711 T(x,L(y,z,u) \ y) = T(x,a(u,z,y)). [hyper(236,a,4887,a,b,13709,a)]. given #12578 (H,wt=19): 13710 K(x,K(y,z \ L(z,u,w))) = K(x,K(y,a(w,u,z))). [para(13708(a,1),9258(a,1,2)),flip(a)]. given #12579 (H,wt=21): 13712 x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(y,z,K(x,u)). [para(13711(a,1),13703(a,1,2,1))]. given #12580 (H,wt=15): 13713 K(x,x * a(y,z,u)) = a(y,z,K(x,u)). [hyper(5131,a,13712,a)]. given #12581 (H,wt=28): 13667 L(x,y,z) * T(R(u,x,u),T(u * x,u)) = T(T(u,u * x) * L(x,y,z),u). [para(4227(a,1),13665(a,1,2,2))]. given #12582 (H,wt=32): 13615 (x \ T(x * (y \ R(y,z,u)),x)) \ (x \ (x * (y \ R(y,z,u)))) = a(K(x,y),z * y,u). [hyper(236,a,6254,a(flip),b,13595,a(flip)),flip(a)]. given #12583 (H,wt=32): 13662 ((x * y) * (z * a(u,w,u))) / (y * (z * a(u,w,u))) = R(R(x,y,z),y * z,a(u,w,u)). [para(12914(a,1),12929(a,1,2))]. given #12584 (H,wt=22): 13714 R(R(x,y,z),y * z,a(u,w,u)) = R(x,y,z * a(u,w,u)). [hyper(475,a,13662,a),flip(a)]. given #12585 (H,wt=14): 13715 R(x,y,z * a(u,w,u)) = R(x,y,z). [hyper(12934,a,13714,a)]. given #12586 (H,wt=12): 13718 R(x,y,R(z,u,z)) = R(x,y,z). [para(9044(a,1),13715(a,1,3))]. given #12587 (H,wt=14): 13719 R(x,y,a(z,u,z) \ w) = R(x,y,w). [para(12289(a,1),13715(a,1,3)),flip(a)]. given #12588 (H,wt=15): 13717 R(x,y,z * K(u,u \ 1)) = R(x,y,z). [para(3629(a,1),13715(a,1,3,2))]. given #12589 (H,wt=15): 13720 R(x,y,(z \ u) \ u) = R(x,y,T(z,u)). [para(8385(a,1),13718(a,1,3))]. given #12590 (H,wt=15): 13723 R(x,y \ z,T(y,z)) = R(x,y \ z,y). [hyper(236,a,10680,a(flip),b,13720,a(flip))]. given #12591 (H,wt=16): 13722 R(x,y,R(z,u,z) \ w) = R(x,y,z \ w). [para(12339(a,1),13719(a,1,3))]. given #12592 (H,wt=17): 13725 R(x,y,z \ (u * z)) = R(x,y,(z \ u) * z). [para(463(a,1),13722(a,1,3)),flip(a)]. given #12593 (H,wt=15): 13726 R(x,y,(z \ u) * z) = R(x,y,T(u,z)). [para(32(a,2),13725(a,1,3)),flip(a)]. given #12594 (H,wt=26): 13724 (x * T(y,z)) / (K(y,z) * ((y \ z) * y)) = R(x / (y \ z),y \ z,y). [hyper(236,a,5763,a,b,13723,a(flip)),flip(a)]. given #12595 (H,wt=25): 13727 (x * T(y,z)) / (K(y,z) * ((y \ z) * y)) = (x * T(y,y \ z)) / z. [hyper(236,a,10726,a(flip),b,13724,a)]. given #12596 (H,wt=23): 13728 (x * T(y,z)) / ((y \ z) * T(y,z)) = (x * T(y,y \ z)) / z. [para(5513(a,1),13727(a,1,2))]. given #12597 (H,wt=32): 13699 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(13697(a,1),11840(a,1,1))]. given #12598 (H,wt=22): 13729 1 * K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). [para(10234(a,1),13699(a,1,1))]. given #12599 (H,wt=20): 13730 K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). [hyper(76,a,13729,a)]. given #12600 (H,wt=17): 13732 K(x,a(y,z,u) \ 1) = K(x,u \ L(u,z,y)). [hyper(236,a,6555,a(flip),b,13730,a(flip)),flip(a)]. given #12601 (H,wt=12): 13734 K(x,y \ L(y,y \ 1,z)) = 1. [hyper(236,a,11933,a(flip),b,13732,a(flip))]. given #12602 (H,wt=12): 13736 T(x,y \ L(y,y \ 1,z)) = x. [hyper(37,a,13734,a)]. given #12603 (H,wt=19): 13735 x * K(x,y \ L(y,z,u)) = T(x,a(u,z,y) \ 1). [para(13732(a,1),4887(a,2,2)),flip(a)]. given #12604 (H,wt=17): 13739 T(x,a(y,z,u) \ 1) = T(x,u \ L(u,z,y)). [hyper(4890,a,13735,a),flip(a)]. given #12605 (H,wt=21): 13737 ((x \ L(x,x \ 1,y)) \ z) * (x \ L(x,x \ 1,y)) = z. [hyper(2260,a,13736,a)]. given #12606 (H,wt=24): 13738 x / (y \ L(y,y \ 1,z)) != u | (y \ L(y,y \ 1,z)) \ x = u. [para(13736(a,1),280(a,1))]. given #12607 (H,wt=27): 13740 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,x * (u \ L(u,z,y))). [para(13739(a,2),595(a,1,1))]. given #12608 (H,wt=25): 13741 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = x * a(y,z,K(u,x)). [hyper(236,a,13696,a(flip),b,13740,a)]. given #12609 (H,wt=33): 13177 K(x,K(T((y / z) \ 1,u) \ w,T(z / y,u)) * v5) = K(x,K(w,T((y / z) \ 1,u)) * v5). [para(10056(a,1),13175(a,1,2,1))]. given #12610 (H,wt=33): 13224 K(x,T(L(y,z \ 1,z) / z,z \ 1) \ u) != w | K(x,((z * (y / z)) * (z \ 1)) \ u) = w. [para(1636(a,1),13223(a,1,2,1,1))]. given #12611 (H,wt=33): 13249 x * (K(y,K(z \ u,z / w)) * K(w \ z,y * (u / z))) = x * K(w \ z,(u / z) * y). [para(7369(a,1),13244(a,1,2,1,2))]. given #12612 (H,wt=33): 13438 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ (1 * ((x * (1 \ z)) / x)),T(u,y)). [para(1651(a,1),13407(a,1,1)),flip(a)]. given #12613 (H,wt=31): 13742 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ (1 * ((x * z) / x)),T(u,y)). [para(50(a,1),13438(a,2,1,2,2,1,2))]. given #12614 (H,wt=29): 13743 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) = K(y \ ((x * z) / x),T(u,y)). [para(11(a,1),13742(a,2,1,2))]. given #12615 (H,wt=30): 13744 K(((x * ((y \ 1) \ (y \ z))) / x) * (y \ 1),u) != w | K(((x * z) / x) / y,u) = w. [para(13743(a,2),8184(a,1))]. given #12616 (H,wt=33): 13626 a((L(x * y,z,x * y) * K(u,L(w,y,x))) \ v5,v6,v7) = a((x * (y * K(u,w))) \ v5,v6,v7). [para(11487(a,1),13624(a,2,1,1))]. given #12617 (H,wt=35): 13212 K(x,K(T(y / z,y) \ u,T(y / z,y)) * w) = K(x,(u / (u / T(y / z,y))) * ((z \ y) \ w)). [para(5526(a,1),13156(a,1,2))]. given #12618 (H,wt=33): 13745 K(x,(y / (y / T(z / u,z))) * ((u \ z) \ w)) = K(x,K(T(z / u,z) \ y,u \ z) * w). [para(7271(a,1),13212(a,1,2,1)),flip(a)]. given #12619 (H,wt=31): 13746 K(x,(y / (y / T(z / u,z))) * ((u \ z) \ w)) = K(x,K((u \ z) \ y,u \ z) * w). [para(13386(a,1),13745(a,2,2,1))]. given #12620 (H,wt=31): 13747 K(x,(y / (y / T(z / u,z))) * ((u \ z) \ w)) = K(x,K(z \ (u * y),u \ z) * w). [para(10652(a,1),13746(a,2,2,1))]. given #12621 (H,wt=35): 13282 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(13281(a,2),12661(a,1,1,2))]. given #12622 (H,wt=21): 13748 x \ T(x * (y \ R(y,z,u)),x) = T(y \ R(y,z,u),x). [para(14(a,1),13282(a,1,1,2,1)),flip(a)]. given #12623 (H,wt=28): 13749 T(x \ R(x,y,z),u) \ (u \ (u * (x \ R(x,y,z)))) = a(K(u,x),y * x,z). [para(13748(a,1),13615(a,1,1))]. given #12624 (H,wt=24): 13750 T(x \ R(x,y,z),u) \ (x \ R(x,y,z)) = a(K(u,x),y * x,z). [para(13(a,1),13749(a,1,2))]. given #12625 (H,wt=17): 13751 a(K(x,y),z * y,u) = K(x,y \ R(y,z,u)). [hyper(4920,a,13750,a),flip(a)]. given #12626 (H,wt=21): 13753 a(K(x,K(y,z)),u * y,w) = K(x,K(z,y \ R(y,u,w))). [para(13751(a,1),12583(a,2,2))]. given #12627 (H,wt=19): 13754 K(x,K(y,z \ R(z,u,w))) = a(K(z,K(x,y)),u,w). [hyper(236,a,12897,a(flip),b,13753,a(flip))]. given #12628 (H,wt=21): 13755 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(z,K(x,y)),u,w). [hyper(236,a,9562,a,b,13754,a(flip)),flip(a)]. given #12629 (H,wt=21): 13756 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(x,K(y,z)),u,w). [para(7923(a,2),13755(a,2,1))]. given #12630 (H,wt=19): 13757 K(x,K(y,R(z,u,w) \ z)) = a(K(x,K(y,z)),u,w). [hyper(9693,a,13756,a)]. given #12631 (H,wt=26): 13758 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(R(y,z,u),z)),w,v5). [hyper(236,a,10124,a(flip),b,13757,a(flip)),flip(a)]. given #12632 (H,wt=26): 13759 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,R(y,z,u))),w,v5). [para(7937(a,1),13758(a,2,1))]. given #12633 (H,wt=23): 13760 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,y)),w,v5). [para(9421(a,1),13759(a,2,1))]. given #12634 (H,wt=22): 13761 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = a(K(x,K(y,w)),z,u). [hyper(10169,a,13760,a)]. given #12635 (H,wt=23): 13764 K(x,K(a(y,z,u),T(w,y * (z * u)))) = a(K(x,K(y,w)),z,u). [hyper(236,a,10474,a(flip),b,13761,a(flip)),flip(a)]. given #12636 (H,wt=36): 13272 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(11938(a,1),13270(a,1,2,2)),flip(a)]. given #12637 (H,wt=34): 13766 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(10889,a,13272,a)]. given #12638 (H,wt=34): 13767 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(236,a,13352,a(flip),b,13766,a(flip)),flip(a)]. given #12639 (H,wt=29): 13768 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),13767(a,1,2,2))]. given #12640 (H,wt=29): 13769 a(x,(y \ L(y,z,u)) * K(w,w \ 1),x) = a(x,K(w,w \ 1) / a(u,z,y),x). [para(4756(a,1),13768(a,1,2))]. given #12641 (H,wt=23): 13770 a(x,y \ L(y,z,u),x) = a(x,K(w,w \ 1) / a(u,z,y),x). [hyper(10969,a,13769,a)]. given #12642 (H,wt=23): 13771 a(x,a(y,z,u) \ K(w,w \ 1),x) = a(x,u \ L(u,z,y),x). [hyper(236,a,12919,a(flip),b,13770,a),flip(a)]. given #12643 (H,wt=19): 13772 a(x,a(y,z,u) \ 1,x) = a(x,u \ L(u,z,y),x). [para(149(a,1),13771(a,1,2,2))]. given #12644 (H,wt=36): 13326 K(x * L(y \ (K(z,K(u,w)) * v5),y,K(z,u)),v6) = K(x * ((K(z,u) * y) \ (K(z,T(u,w)) * v5)),v6). [para(10502(a,1),13325(a,2,1,2,2))]. given #12645 (H,wt=37): 13041 (T((x \ y) * z,y \ x) * (((x \ y) * z) \ z)) \ u = K(((x \ y) * z) \ z,z * (x \ y)) * (z \ u). [para(13033(a,1),12101(a,2,1))]. given #12646 (H,wt=37): 13341 L(a(x,y,x) \ z,a(x,y,x),L(u / a(x,y,x),w,v5)) = L(u,w,v5) \ (L(u / a(x,y,x),w,v5) * z). [para(13339(a,1),801(a,1,1)),flip(a)]. given #12647 (H,wt=37): 13774 (T((x \ y) * z,y \ x) * (((x \ y) * z) \ z)) \ u = K(z \ ((x \ y) \ z),z * (x \ y)) * (z \ u). [para(7695(a,1),13041(a,2,1))]. given #12648 (H,wt=35): 13776 (T((x \ y) * z,y \ x) * (((x \ y) * z) \ z)) \ u = K((x \ y) \ 1,(x \ y) * z) * (z \ u). [para(13027(a,1),13774(a,2,1))]. given #12649 (H,wt=33): 13777 (T((x \ y) * z,y \ x) * (((x \ y) * z) \ z)) \ u = K(y \ x,(x \ y) * z) * (z \ u). [para(6269(a,1),13776(a,2,1))]. given #12650 (H,wt=27): 13778 (K((x \ y) * z,y \ x) * z) \ u = K(y \ x,(x \ y) * z) * (z \ u). [para(4857(a,1),13777(a,1,1))]. given #12651 (H,wt=27): 13779 (x * K(x * (y \ z),z \ y)) \ u = K(z \ y,(y \ z) * x) * (x \ u). [para(13404(a,1),13778(a,1,1))]. given #12652 (H,wt=37): 13775 L(a(x,y,x) \ z,a(x,y,x),L(u / a(x,y,x),w,v5)) = L(u,w,v5) \ (L(a(x,y,x) \ u,w,v5) * z). [para(12293(a,1),13341(a,2,2,1,1))]. given #12653 (H,wt=38): 13229 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(6607(a,2),13228(a,2,2))]. given #12654 (H,wt=33): 13781 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),13229(a,1,2,2,2)),flip(a)]. given #12655 (H,wt=38): 13231 (1 / ((x * y) \ x)) * (z / (L(1 / y,y,x) \ 1)) = z * K(1 / (1 / y),z * ((x * ((1 / y) \ 1)) \ x)). [para(13225(a,1),12113(a,2,2))]. given #12656 (H,wt=34): 13782 (1 / ((x * y) \ x)) * (z / (L(1 / y,y,x) \ 1)) = z * K(1 / (1 / y),z * ((x * y) \ x)). [para(65(a,1),13231(a,2,2,2,2,1,2))]. given #12657 (H,wt=30): 13783 (1 / ((x * y) \ x)) * (z / (L(1 / y,y,x) \ 1)) = z * K(y,z * ((x * y) \ x)). [para(3245(a,1),13782(a,2,2))]. given #12658 (H,wt=38): 13780 L(a(x,y,x) \ z,a(x,y,x),L(R(x,y,x) / a(x,y,x),u,w)) = L(R(x,y,x),u,w) \ (L(x,u,w) * z). [para(9048(a,1),13775(a,2,2,1,1))]. given #12659 (H,wt=21): 13784 L(R(x,y,x),z,u) \ (L(x,z,u) * w) = a(x,y,x) \ w. [hyper(12956,a,13780,a)]. given #12660 (H,wt=21): 13786 a(x,y,x) \ (L(x,z,u) \ w) = L(R(x,y,x),z,u) \ w. [para(14(a,1),13784(a,1,2)),flip(a)]. given #12661 (H,wt=25): 13787 L(R(x,y,x),z,u) \ R(x,w,v5) = L(x,z,u) \ L(R(x,w,v5),y,x). [hyper(236,a,13278,a(flip),b,13786,a(flip))]. given #12662 (H,wt=37): 13788 L(R(R(x,y,x),z,R(x,y,x)),y,x) \ R(R(x,y,x),u,w) = x \ L(R(R(x,y,x),u,w),z,R(x,y,x)). [para(4226(a,1),13787(a,2,1))]. given #12663 (H,wt=34): 13789 L(R(R(x,y,x),z,x),y,x) \ R(R(x,y,x),u,w) = x \ L(R(R(x,y,x),u,w),z,R(x,y,x)). [para(13718(a,1),13788(a,1,1,1))]. given #12664 (H,wt=28): 13790 x \ L(R(R(x,y,x),z,u),w,R(x,y,x)) = R(x,w,x) \ R(R(x,y,x),z,u). [para(4232(a,1),13789(a,1,1)),flip(a)]. given #12665 (H,wt=25): 13793 R(x,y,x) \ R(R(x,z,x),u,w) = x \ L(R(R(x,z,x),u,w),y,x). [para(13490(a,1),13790(a,1,2)),flip(a)]. given #12666 (H,wt=19): 13794 R(x,y,x) \ R(R(x,y,x),z,u) = x \ R(x,z,u). [para(4232(a,1),13793(a,2,2))]. given #12667 (H,wt=19): 13796 (x \ R(x,y,z)) * R(x,u,x) = R(R(x,u,x),y,z). [para(13794(a,1),3690(a,1,1))]. given #12668 (H,wt=17): 13797 R(R(x,y,x),z,u) / R(x,z,u) = a(x,y,x). [hyper(74,a,13796,a(flip),b,12333,a(flip))]. given #12669 (H,wt=17): 13798 R(x,y,z) \ R(R(x,y,z),u,x) = a(x,u,x). [hyper(236,a,3693,a(flip),b,13797,a(flip)),flip(a)]. given #12670 (H,wt=35): 13799 (x * R(R(y,z,u),w,y)) / L(R(y,z,u),a(y,w,y),x) = x * (R(R(y,z,u),w,y) / R(y,z,u)). [para(13798(a,1),10740(a,1,2,2))]. given #12671 (H,wt=29): 13800 (x * R(R(y,z,u),w,y)) / R(y,z,u) = x * (R(R(y,z,u),w,y) / R(y,z,u)). [para(12951(a,1),13799(a,1,2))]. given #12672 (H,wt=29): 13801 (x * R(R(y,z,u),w,y)) / R(y,z,u) = x * (R(y,z,u) \ R(R(y,z,u),w,y)). [para(3688(a,1),13800(a,2,2))]. given #12673 (H,wt=21): 13803 (x * R(R(y,z,u),w,y)) / R(y,z,u) = x * a(y,w,y). [para(13798(a,1),13801(a,2,2))]. given #12674 (H,wt=39): 13449 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(6051(a,2),13415(a,1,2,2))]. given #12675 (H,wt=39): 13539 L(x,y,(K(z \ u,z) \ ((w \ (K(z \ u,z) * v5)) * w)) * K(u,z)) = L(x,y,(w \ (v5 * K(z \ u,z))) * w). [para(4788(a,1),13525(a,1,3)),flip(a)]. given #12676 (H,wt=37): 13805 L(x,y,(K(z \ u,z) \ ((w \ (K(z \ u,z) * v5)) * w)) * K(u,z)) = L(x,y,T(v5 * K(z \ u,z),w)). [hyper(236,a,13510,a(flip),b,13539,a)]. given #12677 (H,wt=42): 13203 L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = w \ ((w * u) * (z \ T(z * L(u \ 1,u,w),K(x,y)))). [para(13197(a,2),682(a,1,2,2)),flip(a)]. given #12678 (H,wt=43): 13437 T(K(x,y) * (x * T(z,T(x,y))),T(u,x * T(z,T(x,y)))) = (K(x,y) * (x * T(z,T(x,y)))) * K(K(x,y) * (z * x),u). [para(8206(a,1),13403(a,1,2,1)),flip(a)]. given #12679 (H,wt=41): 13806 T(K(x,y) * (x * T(z,T(x,y))),T(u,x * T(z,T(x,y)))) = (T(x,y) * T(z,T(x,y))) * K(K(x,y) * (z * x),u). [para(4906(a,1),13437(a,2,1))]. given #12680 (H,wt=37): 13807 T(K(x,y) * (x * T(z,T(x,y))),T(u,x * T(z,T(x,y)))) = (z * T(x,y)) * K(K(x,y) * (z * x),u). [para(119(a,1),13806(a,2,1))]. given #12681 (H,wt=43): 13685 (a(x,y,K(z,u)) * (w * z)) \ ((a(x,y,K(z,u)) * w) * (z * v5)) = L(v5,L(z,w,a(x,y,K(z,u))),a(x,y,K(z,u)) * w). [para(13683(a,1),439(a,1,2,2,1))]. given #12682 (H,wt=44): 12814 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (a(u,z,u) * (K(z,u) * y)) \ (K(u * z,u) * (y * x)). [para(12803(a,1),9073(a,1,1,1)),flip(a)]. given #12683 (H,wt=41): 13808 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (K(u * z,u) * y) \ (K(u * z,u) * (y * x)). [para(12281(a,1),12814(a,2,1))]. given #12684 (H,wt=32): 13810 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = L(x,y,K(u * z,u)). [hyper(236,a,28,a,b,13808,a)]. given #12685 (H,wt=25): 13811 L(L(x,y,K(z,u)),K(z,u) * y,a(u,z,u)) = L(x,y,K(u * z,u)). [para(12803(a,1),13810(a,1,3))]. given #12686 (H,wt=18): 13813 L(x,y,K(z * u,z)) != w | L(x,y,K(u,z)) = w. [para(13811(a,1),12826(a,1)),flip(b)]. given #12687 (H,wt=22): 13814 L(x,y,K(z \ (u * w),w)) != v5 | L(x,y,K(z \ u,w)) = v5. [para(10856(a,2),13813(a,1,3))]. given #12688 (H,wt=19): 13815 L(x,y,K(z \ (u * w),w)) = L(x,y,K(z \ u,w)). [hyper(13814,a,xx),flip(a)]. given #12689 (H,wt=44): 13201 (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(236,a,12665,a(flip),b,13200,a(flip))]. given #12690 (H,wt=40): 13816 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(10110(a,1),13201(a,1,2,2)),flip(a)]. given #12691 (H,wt=40): 13817 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(7937(a,1),13816(a,2,2))]. given #12692 (H,wt=45): 12904 K(((x \ 1) \ K(y,x)) \ T(x,z),T(u,w) \ ((u \ 1) \ K(v5,u))) = K((x * (K(y,x) / T(x,z))) \ 1,u * (K(v5,u) / T(u,w))). [para(12903(a,1),11393(a,1,2)),flip(a)]. given #12693 (H,wt=45): 13819 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(236,a,6767,a(flip),b,12904,a)]. given #12694 (H,wt=46): 12924 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(12918(a,1),9074(a,1,1))]. given #12695 (H,wt=46): 13450 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(11946(a,1),13411(a,1,1,1))]. given #12696 (H,wt=44): 13822 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(5699(a,1),13450(a,1,1))]. given #12697 (H,wt=36): 13823 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),13822(a,1,2,2,1,2))]. given #12698 (H,wt=34): 13825 K(x / y,z) * T(z,T((y / x) \ z,x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(8953(a,1),13823(a,1,2))]. given #12699 (H,wt=34): 13826 K(x / y,z) * T(z,T(z * (x / y),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(13551(a,1),13825(a,1,2))]. given #12700 (H,wt=30): 13827 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = K(y / z,x) * T(x,x * (y / z)). [para(7533(a,1),13826(a,1,2)),flip(a)]. given #12701 (H,wt=23): 13828 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = L(x,y / z,x). [hyper(236,a,5181,a(flip),b,13827,a)]. given #12702 (H,wt=13): 13829 L(x,y / z,x) = L(x,z \ y,x). [hyper(236,a,12075,a(flip),b,13828,a(flip))]. given #12703 (H,wt=13): 13831 L(x,(y \ z) \ z,x) = L(x,y,x). [para(62(a,1),13829(a,1,2)),flip(a)]. given #12704 (H,wt=13): 13836 L(x,y * K(z,y),x) = L(x,y,x). [para(5824(a,1),13831(a,1,2)),flip(a)]. given #12705 (H,wt=19): 13837 L(x,R(y * K(z,y),u,w),x) = L(x,R(y,u,w),x). [para(5658(a,1),13836(a,1,2))]. given #12706 (H,wt=24): 13833 L(x,R(y * K(z,y),z,u),x) = L(x,(z * u) \ ((z * y) * u),x). [para(5032(a,2),13829(a,1,2))]. given #12707 (H,wt=20): 13838 L(x,(y * z) \ ((y * u) * z),x) = L(x,R(u,y,z),x). [hyper(236,a,13837,a(flip),b,13833,a(flip))]. given #12708 (H,wt=16): 13840 L(x,R(y,z,u),x) = L(x,z \ (z * y),x). [hyper(236,a,13280,a(flip),b,13838,a(flip))]. given #12709 (H,wt=12): 13842 L(x,R(y,z,u),x) = L(x,y,x). [para(13(a,1),13840(a,2,2))]. given #12710 (H,wt=29): 13832 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,(y * (z * u)) \ ((y * z) * u),x). [para(3696(a,2),13829(a,1,2))]. given #12711 (H,wt=22): 13843 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,a(y,z,u),x). [para(24(a,2),13832(a,2,2))]. given #12712 (H,wt=17): 13844 L(x,y \ R(y,z,u),x) = L(x,a(y,z,u),x). [hyper(236,a,13842,a(flip),b,13843,a(flip)),flip(a)]. given #12713 (H,wt=27): 13846 (x * K(y \ R(y,z,u),x)) \ L(x,a(y,z,u),x) = a(K(x,y),z * y,u). [para(13844(a,1),13614(a,1,2))]. given #12714 (H,wt=27): 13847 K(x,y \ R(y,z,u)) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [hyper(5875,a,13846,a)]. given #12715 (H,wt=27): 13848 a(K(x,y),z * y,u) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [para(13751(a,2),13847(a,1,1))]. given #12716 (H,wt=25): 13849 a(x,a(y,z,u),x) \ a(K(x,y),z * y,u) = a(K(x,y),z * y,u). [hyper(12352,a,13848,a)]. given #12717 (H,wt=9): 13850 a(x,a(y,z,u),x) = 1. [hyper(73,a,13849,a,b,14,a),flip(a)]. given #12718 (H,wt=9): 13851 L(x,a(y,z,u),x) = x. [hyper(33,a,13850,a)]. given #12719 (H,wt=11): 13852 a(x,a(y,z,u),x) \ w = w. [para(13850(a,2),50(a,1,1))]. given #12720 (H,wt=15): 13853 T(x / a(y,z,u),x) = a(y,z,u) \ x. [hyper(11090,a,13851,a)]. given #12721 (H,wt=15): 13855 T(x * a(y,z,u),x) = a(y,z,u) * x. [para(13851(a,1),4245(a,1,1,1))]. given #12722 (H,wt=15): 13856 K(x,x * a(y,z,u)) = K(x,a(y,z,u)). [hyper(9063,a,13852,a)]. given #12723 (H,wt=13): 13863 a(x,y,K(z,u)) = K(z,a(x,y,u)). [hyper(236,a,13713,a(flip),b,13856,a(flip)),flip(a)]. given #12724 (H,wt=15): 13864 x * a(y,z,K(x,u)) = T(x,a(y,z,u)). [para(13863(a,2),4887(a,2,2)),flip(a)]. given #12725 (H,wt=15): 13865 a(x,y,K(z,u)) * z = T(z,a(x,y,u)). [para(13863(a,2),4897(a,2,1)),flip(a)]. given #12726 (H,wt=17): 13868 K(x,y) * K(y,a(z,u,x)) = K(x,L(y,u,z)). [para(13863(a,1),11482(a,1,2))]. given #12727 (H,wt=17): 13869 K(x,a(y,z,u)) * K(u,x) = K(u,L(x,z,y)). [para(13863(a,1),11513(a,1,1))]. given #12728 (H,wt=17): 13870 K(a(x,y,z),u) * K(z,L(u,y,x)) = K(z,u). [hyper(5285,a,13869,a)]. given #12729 (H,wt=13): 13871 a(x,y,K(z,u)) = K(a(x,y,z),u). [hyper(11524,a,13870,a)]. given #12730 (H,wt=8): 13874 K(a(x,y,z),z) = 1. [hyper(236,a,333,a(flip),b,13871,a(flip))]. given #12731 (H,wt=11): 13880 T(a(x,y,z),z) = a(x,y,z). [hyper(37,a,13874,a)]. given #12732 (H,wt=8): 13881 T(x,a(y,z,x)) = x. [hyper(35,a,13880,a)]. given #12733 (H,wt=15): 13872 K(L(x,y,z) \ x,u) = a(z,y,K(x,u)). [hyper(236,a,13705,a,b,13871,a),flip(a)]. given #12734 (H,wt=18): 13858 K(x,a(y,z,u)) != w | K(x,x * a(y,z,u)) = w. [para(13852(a,1),9063(a,1))]. given #12735 (H,wt=18): 13866 x * a(y,z,K(x,u)) != w | T(x,a(y,z,u)) = w. [para(13863(a,2),4890(a,1,2))]. given #12736 (H,wt=18): 13873 a(x,y,z) \ T(a(x,y,z),u) = a(x,y,K(z,u)). [hyper(236,a,4829,a(flip),b,13871,a),flip(a)]. given #12737 (H,wt=16): 13883 a(x,y,K(z,u)) != w | K(a(x,y,z),u) = w. [para(13873(a,1),4956(a,1))]. given #12738 (H,wt=18): 13875 a(x,y,z) * a(x,y,K(z,u)) = T(a(x,y,z),u). [para(13871(a,2),4887(a,2,2)),flip(a)]. given #12739 (H,wt=15): 13884 T(a(x,y \ 1,y),z) = a(x,y \ 1,y). [hyper(10193,a,13875,a)]. given #12740 (H,wt=15): 13885 T(a(x,y,y \ 1),z) = a(x,y,y \ 1). [hyper(10191,a,13875,a)]. given #12741 (H,wt=10): 13892 K(x,a(y,z,z \ 1)) = 1. [hyper(73,a,13885,a,b,4845,a),flip(a)]. given #12742 (H,wt=10): 13893 T(x,a(y,z,z \ 1)) = x. [hyper(35,a,13885,a)]. given #12743 (H,wt=13): 13900 T(x,y \ (z * ((y \ z) \ 1))) = x. [para(687(a,1),13893(a,1,2))]. given #12744 (H,wt=16): 13887 T(a(x,y,z),L(y,u,w)) = a(x,y,z) * 1. [para(8538(a,1),13875(a,1,2)),flip(a)]. given #12745 (H,wt=17): 13891 (a(x,y,y \ 1) \ z) \ z = a(x,y,y \ 1). [hyper(4153,a,13885,a)]. given #12746 (H,wt=17): 13894 a(x,y,y \ 1) * z = z * a(x,y,y \ 1). [para(13885(a,1),119(a,1,2)),flip(a)]. given #12747 (H,wt=17): 13895 (a(x,y,y \ 1) \ z) * a(x,y,y \ 1) = z. [para(13885(a,1),165(a,1,2))]. given #12748 (H,wt=17): 13896 x / a(y,z,z \ 1) = a(y,z,z \ 1) \ x. [para(13885(a,1),197(a,1,2))]. given #12749 (H,wt=17): 13902 T(a(x,y,z),L(y,u,w)) != v5 | a(x,y,z) = v5. [para(13887(a,2),83(a,1)),flip(b)]. given #12750 (H,wt=11): 13905 T(a(x,y,z),y) = a(x,y,z). [hyper(13902,a,10711,a),flip(a)]. given #12751 (H,wt=18): 13876 a(x,y,K(z,u)) * a(x,y,z) = T(a(x,y,z),u). [para(13871(a,2),4897(a,2,1)),flip(a)]. given #12752 (H,wt=18): 13888 T(a(x,y,y \ 1),z) != u | a(x,y,y \ 1) = u. [para(13875(a,1),10191(a,1)),flip(b)]. given #12753 (H,wt=19): 13862 T(T(x * a(y,z,u),w),x) = T(a(y,z,u) * x,w). [para(13855(a,1),38(a,1,1)),flip(a)]. given #12754 (H,wt=19): 13877 a(x,y,K(z,u)) * (u \ w) = T(u,a(x,y,z)) \ w. [para(13871(a,2),5204(a,1,1))]. given #12755 (H,wt=20): 13854 a(x,y,z) \ T(u,a(x,y,z) \ u) = u / a(x,y,z). [hyper(236,a,11092,a(flip),b,13851,a(flip))]. given #12756 (H,wt=20): 13899 a(x,y,y \ 1) * z != u | z * a(x,y,y \ 1) = u. [para(13893(a,1),220(a,1,2))]. given #12757 (H,wt=20): 13904 (a(x,y,y \ 1) \ z) \ z != u | a(x,y,y \ 1) = u. [para(13895(a,1),283(a,1,2)),flip(b)]. given #12758 (H,wt=20): 13906 T(x,a(y,z,u) \ x) = a(y,z,u) * (x / a(y,z,u)). [para(13854(a,1),14(a,1,2)),flip(a)]. given #12759 (H,wt=21): 13886 a(x,y,z) \ T(a(x,y,z),u) != w | a(x,y,K(z,u)) = w. [para(13875(a,1),283(a,1,2)),flip(b)]. given #12760 (H,wt=16): 13907 K(a(x,y,z),u) != w | a(x,y,K(z,u)) = w. [para(4829(a,2),13886(a,1))]. given #12761 (H,wt=21): 13897 x * (a(y,z,z \ 1) * u) = x * (u * a(y,z,z \ 1)). [para(13885(a,1),161(a,1,2,2)),flip(a)]. given #12762 (H,wt=22): 13859 (x / a(y,z,u)) \ (a(y,z,u) \ x) = K(a(y,z,u) \ x,x). [hyper(72,a,13853,a(flip),b,6290,a)]. given #12763 (H,wt=20): 13908 K(a(x,y,z) \ u,a(x,y,z)) = K(a(x,y,z) \ u,u). [hyper(5128,a,13859,a)]. given #12764 (H,wt=22): 13867 (x * y) * a(z,u,K(y,w)) != v5 | x * T(y,a(z,u,w)) = v5. [para(13863(a,2),6258(a,1,2))]. given #12765 (H,wt=23): 13861 (a(x,y,z) * u) \ T(T(u,w) * a(x,y,z),T(u,w)) = K(u,w). [hyper(72,a,13855,a,b,6201,a)]. given #12766 (H,wt=23): 13878 x * a(y,z,K(u,x)) != w | (a(y,z,u) * x) / a(y,z,u) = w. [para(13871(a,2),5058(a,1,2))]. given #12767 (H,wt=23): 13898 T(x * (a(y,z,z \ 1) / x),u) = x * (a(y,z,z \ 1) / x). [para(13885(a,1),4615(a,2,2,1))]. given #12768 (H,wt=23): 13901 x / (y \ (z * ((y \ z) \ 1))) = (y \ (z * ((y \ z) \ 1))) \ x. [hyper(2346,a,13900,a),flip(a)]. given #12769 (H,wt=28): 13879 (a(x,y,z) \ u) * a(x,y,K(z,a(x,y,z) \ u)) != w | u / a(x,y,z) = w. [para(13871(a,2),5320(a,1,2))]. given #12770 (H,wt=31): 13882 (L(x,y,z) \ x) * (u / (L(x,y,z) \ x)) = u * a(z,y,K(x,L(x,y,z) * (x \ u))). [para(13872(a,1),10774(a,1,2)),flip(a)]. given #12771 (H,wt=36): 13903 (a(x,y,y \ 1) * z) \ (z * (u * a(x,y,y \ 1))) = L(T(u,a(x,y,y \ 1)),a(x,y,y \ 1),z). [para(13894(a,2),178(a,1,1))]. given #12772 (H,wt=29): 13909 (a(x,y,y \ 1) * z) \ (z * (u * a(x,y,y \ 1))) = L(u,a(x,y,y \ 1),z). [para(13893(a,1),13903(a,2,1))]. given #12773 (H,wt=39): 13860 T(x * (1 / a(y,z,u)),R(x,a(y,z,u) \ 1,a(y,z,u))) = a(y,z,u) \ R(x,a(y,z,u) \ 1,a(y,z,u)). [para(2805(a,1),13853(a,1,1))]. given #12774 (H,wt=39): 13910 T(x * (a(y,z,u) \ 1),R(x,a(y,z,u) \ 1,a(y,z,u))) = a(y,z,u) \ R(x,a(y,z,u) \ 1,a(y,z,u)). [para(12738(a,1),13860(a,1,1,2))]. given #12775 (H,wt=46): 13820 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(10397(a,1),12924(a,1,1))]. given #12776 (H,wt=57): 12722 (((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(5790(a,1),9578(a,1,1,1))]. given #12777 (H,wt=58): 13773 (((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(13772(a,1),11734(a,1,1,2))]. given #12778 (H,wt=56): 13911 (((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(1578(a,1),13773(a,2,1))]. given #12779 (H,wt=38): 13912 (((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(236,a,12927,a(flip),b,13911,a)]. given #12780 (H,wt=36): 13914 ((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(11408(a,1),13912(a,1,1))]. given #12781 (H,wt=25): 13915 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,a(y,z,u) \ x). [hyper(236,a,12051,a(flip),b,13914,a(flip)),flip(a)]. given #12782 (H,wt=17): 13916 T(x,a(y,z,u) \ x) = x * a(y,z,K(u,x)). [hyper(236,a,13741,a(flip),b,13915,a(flip))]. given #12783 (H,wt=15): 13917 K(x,a(y,z,u) \ x) = a(y,z,K(u,x)). [hyper(4954,a,13916,a)]. given #12784 (H,wt=17): 13918 T(T(x,a(y,z,u) \ x),u) = T(x,L(u,z,y)). [para(13916(a,2),11606(a,1,1))]. given #12785 (H,wt=17): 13921 T(T(x,y),a(z,u,y) \ x) = T(x,L(y,u,z)). [hyper(417,a,13918,a)]. given #12786 (H,wt=21): 13919 T(T(x,a(y,z,u) \ x),x * u) = T(x,L(u * x,z,y)). [para(13916(a,2),11865(a,1,1))]. given #12787 (H,wt=21): 13923 T(T(x,x * y),a(z,u,y) \ x) = T(x,L(y * x,u,z)). [hyper(417,a,13919,a)]. given #12788 (H,wt=35): 13922 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(4525(a,1),13921(a,1,1))]. given #12789 (H,wt=35): 13924 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(11936(a,1),13922(a,1,2,1))]. given #12790 (H,wt=25): 13925 T(x,L(y * (z * (1 / u)),w,v5)) = T(x,L(y * (z * (u \ 1)),w,v5)). [hyper(236,a,13921,a(flip),b,13924,a(flip))]. given #12791 (H,wt=42): 13920 K(a(x,y,z) \ u,u) * (w * ((a(x,y,z) \ u) * a(x,y,K(z,u)))) = T(w * (a(x,y,z) \ u),K(a(x,y,z) \ u,u)). [para(13917(a,1),8195(a,1,2,2,2))]. given #12792 (H,wt=62): 6915 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(6621(a,1),5919(a,1,2,2,1,2))]. given #12793 (H,wt=52): 13926 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(4485(a,1),6915(a,1,2,1)),flip(a)]. given #12794 (H,wt=52): 13927 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(2581(a,1),13926(a,2,2,2))]. given #12795 (H,wt=65): 10243 (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(6094,a,10242,a)]. given #12796 (H,wt=63): 13929 (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(4760(a,1),10243(a,1,2,1,2,2,2))]. given #12797 (H,wt=61): 13930 (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(4511(a,1),13929(a,1,2,1,2,2))]. given #12798 (H,wt=61): 13931 (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(7919(a,1),13930(a,1,2,1))]. given #12799 (H,wt=59): 13932 (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(9577(a,1),13931(a,1,2,1,2))]. given #12800 (H,wt=54): 13933 (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(7445(a,1),13932(a,1,2,1,2))]. given #12801 (H,wt=52): 13935 (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(9262(a,1),13933(a,1,2,1))]. given #12802 (H,wt=50): 13936 (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(4760(a,1),13935(a,1,2,2,1,2,1,2,2))]. given #12803 (H,wt=48): 13937 (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(4511(a,1),13936(a,1,2,2,1,2,1,2))]. given #12804 (H,wt=48): 13938 (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(7886(a,1),13937(a,1,2,2,1,2))]. given #12805 (H,wt=46): 13939 (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(10250(a,1),13938(a,1,2,2,1,2,2))]. given #12806 (H,wt=41): 13940 (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(7304(a,1),13939(a,1,2,2,1,2,2))]. given #12807 (H,wt=39): 13942 (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(9247(a,1),13940(a,1,2,2,1,2))]. given #12808 (H,wt=39): 13943 (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(4870(a,1),13942(a,1,2,2,1))]. given #12809 (H,wt=39): 13944 (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(9670(a,2),13943(a,1,2))]. given #12810 (H,wt=35): 13945 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(236,a,9662,a(flip),b,13944,a(flip)),flip(a)]. given #12811 (H,wt=33): 13946 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(1337(a,1),13945(a,1,2)),flip(a)]. given #12812 (H,wt=31): 13947 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(236,a,7965,a(flip),b,13946,a)]. given #12813 (H,wt=25): 13948 T(x,K(y,z)) \ L(T(x,K(y,z)),u,w) = T(x \ L(x,u,w),K(y,z)). [para(1051(a,1),13947(a,1,1)),flip(a)]. given #12814 (H,wt=29): 13949 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [hyper(236,a,12219,a,b,13948,a(flip)),flip(a)]. given #12815 (H,wt=23): 13950 T(x \ L(x,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [para(1051(a,1),13949(a,1,1))]. given #12816 (H,wt=30): 13951 (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(13950(a,1),12615(a,1,2))]. given #12817 (H,wt=23): 13952 K(x \ L(x,y,z),K(u * x,w)) = K(x \ L(x,y,z),K(u,w)). [hyper(12616,a,13951,a),flip(a)]. given #12818 (H,wt=23): 13953 K(x \ L(x,y,z),K(u * x,w)) = K(u,K(w,x \ L(x,y,z))). [hyper(236,a,7923,a,b,13952,a)]. given #12819 (H,wt=23): 13955 K(x,K(y * z,y \ L(y,u,w))) = K(z,K(x,y \ L(y,u,w))). [hyper(236,a,12203,a(flip),b,13953,a(flip)),flip(a)]. given #12820 (H,wt=23): 13956 K(x,K(y * z,y \ L(y,u,w))) = K(x,K(z,y \ L(y,u,w))). [hyper(236,a,7919,a,b,13955,a)]. given #12821 (H,wt=23): 13957 K(x,K(y * z,z \ L(z,u,w))) = K(x,K(y,z \ L(z,u,w))). [hyper(12205,a,13956,a)]. given #12822 (H,wt=26): 13954 K(x \ L(x,y,z),K(u * x,w)) != v5 | K(u,K(w,x \ L(x,y,z))) = v5. [para(13952(a,2),7960(a,1))]. given #12823 (H,wt=31): 13958 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,u \ L(u,z,y))). [hyper(236,a,13781,a,b,13957,a(flip)),flip(a)]. given #12824 (H,wt=29): 13959 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(236,a,13710,a(flip),b,13958,a)]. given #12825 (H,wt=23): 13960 K(x,K(a(y,z,u),y * (z * u))) = K(x,K(y * z,a(y,z,u))). [hyper(9217,a,13959,a)]. given #12826 (H,wt=23): 13962 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(y * z,a(y,z,u))). [hyper(9372,a,13960,a)]. given #12827 (H,wt=26): 13961 K(x,K(y * z,a(y,z,u))) != w | K(x,K(a(y,z,u),y * (z * u))) = w. [para(13959(a,1),9217(a,1))]. given #12828 (H,wt=39): 13963 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(236,a,12663,a,b,13962,a(flip)),flip(a)]. given #12829 (H,wt=29): 13964 K(x,K(a(y,z,u),T((y * z) * u,y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(9471,a,13963,a)]. given #12830 (H,wt=23): 13965 a(K(x,K(y,(y * z) * u)),z,u) = K(x,K(y * z,a(y,z,u))). [hyper(236,a,13764,a(flip),b,13964,a(flip)),flip(a)]. given #12831 (H,wt=21): 13966 K(x,K(y * z,a(y,z,u))) = a(K(y,K(x,z * u)),z,u). [para(9377(a,1),13965(a,1,1)),flip(a)]. given #12832 (H,wt=12): 13967 K(x,K(y * z,a(y,z,u))) = 1. [hyper(236,a,12181,a(flip),b,13966,a)]. given #12833 (H,wt=14): 13968 K(x,K(a(y,z,u),y * (z * u))) = 1. [hyper(13961,a,13967,a)]. given #12834 (H,wt=22): 13971 K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)) * 1. [para(13968(a,1),9941(a,1,2)),flip(a)]. given #12835 (H,wt=20): 13972 K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)). [hyper(236,a,12,a(flip),b,13971,a)]. given #12836 (H,wt=23): 13974 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,a(y,z,u)). [hyper(236,a,9519,a,b,13972,a(flip)),flip(a)]. given #12837 (H,wt=23): 13975 R(a(K(x,y),z * y,u),R(y,z,u),z * u) = K(x,a(y,z,u)). [para(13751(a,2),13974(a,1,1))]. given #12838 (H,wt=23): 13976 a(K(x,R(y,R(y,z,u),z * u)),z * y,u) = K(x,a(y,z,u)). [hyper(236,a,13633,a,b,13975,a(flip)),flip(a)]. given #12839 (H,wt=15): 13977 a(K(x,y),z * y,u) = K(x,a(y,z,u)). [hyper(236,a,13635,a(flip),b,13976,a(flip)),flip(a)]. given #12840 (H,wt=16): 13980 K(x,a(y,z,u)) != w | a(K(x,y),z,u) = w. [para(13977(a,1),12899(a,1))]. given #12841 (H,wt=13): 13981 a(K(x,y),z,u) = a(y,z,K(x,u)). [hyper(13980,a,13863,a(flip))]. given #12842 (H,wt=8): 13984 a(K(x,y),z,z) = 1. [hyper(236,a,7744,a(flip),b,13981,a)]. given #12843 (H,wt=8): 13986 L(x,x,K(y,z)) = x. [hyper(33,a,13984,a)]. given #12844 (H,wt=15): 13982 K(x,x * a(y,z,u)) = a(K(x,y),z,u). [hyper(13980,a,13856,a(flip)),flip(a)]. given #12845 (H,wt=17): 13978 K(x,x * a(y,z,u)) = a(K(x,y),z * y,u). [hyper(236,a,13856,a,b,13977,a),flip(a)]. given #12846 (H,wt=25): 13985 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(K(z,w),u,v5). [para(13981(a,1),12554(a,1,1,2))]. given #12847 (H,wt=13): 13987 a(K(x,y),z,u) = a(x,z,K(u,y)). [hyper(236,a,10227,a(flip),b,13985,a(flip))]. given #12848 (H,wt=13): 13989 a(K(x,y),z,u) = K(u,a(x,z,y)). [hyper(236,a,13863,a(flip),b,13987,a)]. given #12849 (H,wt=13): 13990 a(x,y,K(z,u)) = a(u,y,K(x,z)). [hyper(236,a,13981,a(flip),b,13987,a(flip))]. given #12850 (H,wt=10): 14008 a(x,x \ 1,K(y,z)) = 1. [hyper(236,a,10190,a(flip),b,13990,a)]. given #12851 (H,wt=10): 14013 a(x,y,K(z,y * x)) = 1. [hyper(236,a,10859,a(flip),b,13990,a(flip))]. given #12852 (H,wt=10): 14039 a(x,y,K(z,x * y)) = 1. [para(13030(a,1),14013(a,1,3))]. given #12853 (H,wt=10): 14040 a(x,x \ y,K(z,y)) = 1. [para(14(a,1),14039(a,1,3,2))]. given #12854 (H,wt=12): 14038 L(K(x,y),z \ 1,z) = K(x,y). [hyper(33,a,14008,a)]. given #12855 (H,wt=12): 14041 L(K(x,y),z \ y,z) = K(x,y). [hyper(33,a,14040,a)]. given #12856 (H,wt=12): 14042 K(x,L(y,z \ 1,z)) = K(x,y). [hyper(11589,a,14038,a)]. given #12857 (H,wt=12): 14048 K(x,L(y,z \ y,z)) = K(x,y). [hyper(11589,a,14041,a)]. given #12858 (H,wt=12): 14053 K(x,L(y,z,z \ 1)) = K(x,y). [para(2977(a,1),14042(a,1,2))]. given #12859 (H,wt=12): 14056 K(x,L(y,z,z \ y)) = K(x,y). [para(11123(a,1),14048(a,1,2))]. given #12860 (H,wt=12): 14058 K(x,R(y,z,z \ 1)) = K(x,y). [hyper(13191,a,14053,a)]. given #12861 (H,wt=12): 14065 K(R(x,y,y \ 1),z) = K(x,z). [hyper(236,a,12874,a,b,14058,a(flip)),flip(a)]. given #12862 (H,wt=13): 13995 a(x,y,K(z,u)) = K(u,a(z,y,x)). [hyper(236,a,13981,a(flip),b,13989,a(flip)),flip(a)]. given #12863 (H,wt=13): 13996 a(x,y,K(z,u)) = K(a(z,y,u),x). [hyper(13883,a,13990,a),flip(a)]. given #12864 (H,wt=13): 14004 a(x,y,K(z,u)) = K(x,a(u,y,z)). [hyper(236,a,13863,a(flip),b,13990,a)]. given #12865 (H,wt=11): 14082 a(x,y,K(z,z)) != u | 1 = u. [para(14004(a,2),12795(a,1))]. given #12866 (H,wt=13): 14046 (x \ 1) * K(y,z) = x \ K(y,z). [hyper(72,a,14038,a(flip),b,188,a),flip(a)]. given #12867 (H,wt=13): 14050 K((x \ 1) \ y,z) = K(x * y,z). [hyper(236,a,11543,a(flip),b,14042,a(flip))]. given #12868 (H,wt=13): 14051 K(x,(y \ 1) \ z) = K(x,y * z). [para(451(a,1),14042(a,1,2)),flip(a)]. given #12869 (H,wt=13): 14060 K(x,y * (z \ 1)) = K(x,y / z). [hyper(236,a,13192,a(flip),b,14053,a(flip)),flip(a)]. given #12870 (H,wt=13): 14061 K(x,(1 / y) * z) = K(x,y \ z). [para(2920(a,1),14053(a,1,2))]. given #12871 (H,wt=13): 14068 K(x * (y \ 1),z) = K(x / y,z). [para(482(a,1),14065(a,1,1))]. given #12872 (H,wt=13): 14072 K(a(x,y,z),u) = K(x,a(u,y,z)). [hyper(236,a,13863,a(flip),b,13996,a(flip))]. given #12873 (H,wt=13): 14088 (x \ K(y,z)) * K(z,y) = x \ 1. [hyper(7559,a,14046,a)]. given #12874 (H,wt=13): 14090 (1 / x) \ K(y,z) = x * K(y,z). [hyper(582,a,14046,a),flip(a)]. given #12875 (H,wt=13): 14092 (x \ 1) \ (x \ K(y,z)) = K(y,z). [hyper(80,a,14046,a)]. given #12876 (H,wt=13): 14101 (x \ K(y,z)) \ (x \ 1) = K(z,y). [para(14046(a,1),7549(a,1,1))]. given #12877 (H,wt=13): 14109 K((x \ 1) * y,z) = K(x \ y,z). [hyper(6070,a,14050,a),flip(a)]. given #12878 (H,wt=13): 14110 K((1 / x) \ y,z) = K(x * y,z). [hyper(5633,a,14050,a)]. given #12879 (H,wt=13): 14125 K(x,(1 / y) \ z) = K(x,y * z). [hyper(236,a,5476,a,b,14051,a(flip)),flip(a)]. given #12880 (H,wt=13): 14126 K(x,(y \ 1) * z) = K(x,y \ z). [hyper(236,a,5478,a(flip),b,14051,a(flip))]. given #12881 (H,wt=13): 14130 K(x,y * (1 / z)) = K(x,y / z). [hyper(236,a,5472,a,b,14060,a(flip)),flip(a)]. given #12882 (H,wt=13): 14131 K(x,y / (z \ 1)) = K(x,y * z). [hyper(236,a,5469,a(flip),b,14060,a(flip))]. given #12883 (H,wt=13): 14135 K(x * (1 / y),z) = K(x / y,z). [hyper(5884,a,14068,a)]. given #12884 (H,wt=13): 14136 K(x / (y \ 1),z) = K(x * y,z). [hyper(5630,a,14068,a),flip(a)]. given #12885 (H,wt=13): 14138 K(x / (1 / y),z) = K(x * y,z). [para(65(a,1),14068(a,1,1,2)),flip(a)]. given #12886 (H,wt=13): 14144 (K(x,y) / z) \ 1 = z * K(y,x). [hyper(582,a,14088,a),flip(a)]. given #12887 (H,wt=13): 14154 (1 / x) * (x * K(y,z)) = K(y,z). [para(14090(a,1),14(a,1,2))]. given #12888 (H,wt=13): 14155 K(x,y) / (z * K(x,y)) = 1 / z. [para(14090(a,1),62(a,1,2))]. given #12889 (H,wt=13): 14189 1 / (x * K(y,z)) = K(z,y) / x. [para(14144(a,1),62(a,1,2))]. given #12890 (H,wt=14): 14055 K(x,L(y * z,z,y)) = K(x,y * z). [para(13(a,1),14048(a,1,2,2))]. given #12891 (H,wt=14): 14202 K(L(x,y,z),z * y) = K(x,z * y). [hyper(236,a,11533,a,b,14055,a(flip)),flip(a)]. given #12892 (H,wt=15): 13997 a(x,y,K(z,z \ u)) = a(u,y,K(x,z)). [hyper(13659,a,13990,a)]. given #12893 (H,wt=15): 13998 a(x * y,z,K(u,x)) = a(u,z,K(x,y)). [hyper(13655,a,13990,a),flip(a)]. given #12894 (H,wt=15): 14001 a(x,y,K(z,u \ 1)) = a(u,y,K(z,x)). [hyper(236,a,12008,a,b,13990,a),flip(a)]. given #12895 (H,wt=15): 14006 a(x \ 1,y,K(z,u)) = a(u,y,K(z,x)). [hyper(236,a,12007,a(flip),b,13990,a)]. given #12896 (H,wt=15): 14007 a(x * y,z,K(y,u)) = a(u,z,K(x,y)). [hyper(236,a,11743,a(flip),b,13990,a)]. given #12897 (H,wt=15): 14010 a(x,y,K(z \ 1,u)) = a(z,y,K(x,u)). [hyper(236,a,12007,a,b,13990,a(flip)),flip(a)]. given #12898 (H,wt=15): 14011 a(x,y,K(z \ u,u)) = a(z,y,K(x,u)). [hyper(236,a,12006,a,b,13990,a(flip)),flip(a)]. given #12899 (H,wt=15): 14032 x * a(y,z,K(u,x)) = T(x,a(u,z,y)). [para(13990(a,1),13864(a,1,2))]. given #12900 (H,wt=10): 14215 T(x,a(y \ 1,y,z)) = x. [hyper(10191,a,14032,a)]. given #12901 (H,wt=15): 14033 x * a(x,y,K(z,u)) = T(x,a(u,y,z)). [para(13990(a,2),13864(a,1,2))]. given #12902 (H,wt=13): 14220 T(x,a(y,z,z \ 1)) != u | u = x. [para(14033(a,1),10191(a,1))]. given #12903 (H,wt=15): 14034 a(x,y,K(z,u)) * x = T(x,a(u,y,z)). [para(13990(a,2),13865(a,1,1))]. given #12904 (H,wt=15): 14043 K((x * y) \ 1,z) = K(y \ (x \ 1),z). [hyper(6731,a,14038,a)]. given #12905 (H,wt=15): 14049 x * ((x \ y) * K(z,y)) = y * K(z,y). [para(14041(a,1),433(a,1,2)),flip(a)]. given #12906 (H,wt=15): 14054 K((x \ y) \ z,y) = K(y \ (x * z),y). [hyper(236,a,11544,a(flip),b,14048,a(flip))]. given #12907 (H,wt=15): 14074 K(x,L(y,z,u) \ y) = a(x,z,K(y,u)). [hyper(236,a,13708,a,b,14004,a),flip(a)]. given #12908 (H,wt=15): 14093 K(x,T(y,z)) * (z \ 1) = z \ K(x,y). [hyper(236,a,9350,a,b,14046,a(flip)),flip(a)]. given #12909 (H,wt=15): 14102 (x \ K(y,z)) * T(z,y) = (x \ 1) * z. [para(14046(a,1),7568(a,1,1))]. given #12910 (H,wt=15): 14118 x * (y * K(x * y,z)) = T(x * y,z). [para(14050(a,1),6304(a,1,2,2))]. given #12911 (H,wt=15): 14123 K(x,T(y * z,y)) = K(x,(z \ 1) \ y). [hyper(236,a,13017,a,b,14051,a),flip(a)]. given #12912 (H,wt=15): 14127 T(x,(y \ 1) \ z) = x * K(x,y * z). [para(14051(a,1),4887(a,2,2))]. given #12913 (H,wt=13): 14235 T(x,(y \ 1) \ z) = T(x,y * z). [hyper(236,a,4887,a,b,14127,a)]. given #12914 (H,wt=13): 14237 T(x,(1 / y) \ z) = T(x,y * z). [hyper(236,a,4501,a,b,14235,a(flip)),flip(a)]. given #12915 (H,wt=13): 14238 T(x,(y \ 1) * z) = T(x,y \ z). [hyper(236,a,4503,a(flip),b,14235,a(flip))]. given #12916 (H,wt=13): 14239 T(x,(1 / y) * z) = T(x,y \ z). [para(65(a,1),14235(a,1,2,1)),flip(a)]. given #12917 (H,wt=15): 14133 T(x,y * (1 / z)) = x * K(x,y / z). [para(14060(a,1),4950(a,1,2)),flip(a)]. given #12918 (H,wt=13): 14244 T(x,y * (1 / z)) = T(x,y / z). [hyper(236,a,4887,a,b,14133,a)]. given #12919 (H,wt=13): 14246 T(x,y * (z \ 1)) = T(x,y / z). [hyper(5661,a,14244,a)]. given #12920 (H,wt=13): 14247 T(x,y / (1 / z)) = T(x,y * z). [hyper(236,a,4512,a(flip),b,14244,a(flip))]. given #12921 (H,wt=13): 14250 T(x,y / (z \ 1)) = T(x,y * z). [para(62(a,1),14244(a,1,2,2)),flip(a)]. given #12922 (H,wt=15): 14175 K((x \ 1) / y,z) = K(x \ (y \ 1),z). [hyper(236,a,14068,a(flip),b,14109,a(flip)),flip(a)]. given #12923 (H,wt=15): 14182 T(x,(y \ 1) * z) = x * K(x,y \ z). [para(14126(a,1),4887(a,2,2))]. given #12924 (H,wt=15): 14195 K(x,y) / (y \ T(x,y)) = 1 / (y \ x). [para(7546(a,1),14155(a,1,2))]. given #12925 (H,wt=15): 14196 K(x,y) / (z / T(y,x)) = 1 / (z / y). [para(7555(a,1),14155(a,1,2))]. given #12926 (H,wt=15): 14197 K(x,y) / (z \ 1) = 1 / (z \ K(y,x)). [para(14088(a,1),14155(a,1,2))]. given #12927 (H,wt=15): 14211 a(x * y,z,K(y,u)) = a(x,z,K(y,u)). [hyper(236,a,13990,a,b,14007,a)]. given #12928 (H,wt=15): 14213 a(x,y,K(z,u \ x)) = a(u,y,K(z,x)). [hyper(236,a,13990,a(flip),b,14011,a(flip)),flip(a)]. given #12929 (H,wt=15): 14221 K(((x \ 1) * y) \ 1,z) = K(y \ x,z). [hyper(5635,a,14043,a(flip)),flip(a)]. given #12930 (H,wt=15): 14225 x \ (y * K(z,y)) = (x \ y) * K(z,y). [hyper(80,a,14049,a)]. given #12931 (H,wt=15): 14226 x \ ((y * z) / y) = (x \ z) * K(y,z). [hyper(72,a,4854,a,b,14049,a)]. given #12932 (H,wt=15): 14229 K((x / y) \ z,x) = K(x \ (y * z),x). [hyper(236,a,6531,a,b,14054,a(flip)),flip(a)]. given #12933 (H,wt=15): 14242 T(x,T((y \ 1) * z,x)) = T(x,y \ z). [hyper(236,a,4104,a,b,14238,a(flip)),flip(a)]. given #12934 (H,wt=16): 14036 a(x,y,K(z,u)) != w | K(a(z,y,u),x) = w. [para(13990(a,1),13883(a,1))]. given #12935 (H,wt=16): 14044 L(K(x,y),z \ 1,z) = u \ (u * K(x,y)). [hyper(236,a,13,a,b,14038,a)]. given #12936 (H,wt=15): 14271 L(K(x,y),z \ 1,z) != u | K(x,y) = u. [para(14044(a,2),283(a,1)),flip(b)]. given #12937 (H,wt=15): 14274 L(K(x,y),z,z \ 1) != u | K(x,y) = u. [para(2977(a,1),14271(a,1))]. given #12938 (H,wt=15): 14275 K(x,L(y,z \ 1,z)) != u | K(x,y) = u. [para(11470(a,1),14271(a,1))]. given #12939 (H,wt=15): 14276 K(x,L(y,z,z \ 1)) != u | K(x,y) = u. [para(11470(a,1),14274(a,1))]. given #12940 (H,wt=15): 14281 K(x,y) != z | K(R(x,x \ 1,u),y) = z. [para(7100(a,1),14276(a,1))]. given #12941 (H,wt=16): 14063 x * K(y,L(z,u,u \ z)) = x * K(y,z). [hyper(21,a,14056,a)]. given #12942 (H,wt=16): 14073 a(x,y,K(z,u)) != w | a(z,y,K(u,x)) = w. [para(13996(a,2),13907(a,1))]. given #12943 (H,wt=16): 14084 K(x,a(y,z,u)) != w | K(a(x,z,u),y) = w. [para(14004(a,1),13883(a,1))]. given #12944 (H,wt=16): 14085 a(x,y,K(z,u)) != w | a(K(x,u),y,z) = w. [para(14004(a,2),13980(a,1))]. given #12945 (H,wt=16): 14096 (1 / x) \ K(y,z) != u | x * K(y,z) = u. [para(14046(a,1),582(a,1))]. given #12946 (H,wt=16): 14103 (x \ K(y,z)) \ (x \ 1) != u | K(z,y) = u. [para(14046(a,1),7560(a,1,1))]. given #12947 (H,wt=16): 14116 K((x \ 1) * y,z) != u | K(x \ y,z) = u. [para(14050(a,1),6070(a,1))]. given #12948 (H,wt=16): 14139 K(x * (y \ 1),y) != z | K(y \ x,y) = z. [para(14068(a,2),5335(a,1))]. given #12949 (H,wt=16): 14140 K(x / (y \ 1),z) != u | K(x * y,z) = u. [para(14068(a,1),5630(a,1))]. given #12950 (H,wt=16): 14143 K(x,a(y,z,u)) != w | a(x,z,K(u,y)) = w. [para(14072(a,1),13907(a,1))]. given #12951 (H,wt=16): 14149 (x \ 1) * K(y,z) != u | x \ K(y,z) = u. [para(14088(a,1),7577(a,1,1)),flip(b)]. given #12952 (H,wt=16): 14186 K(x * y,x) != z | K((y \ 1) \ x,x) = z. [para(14136(a,1),6502(a,1))]. given #12953 (H,wt=16): 14234 K(x,(y \ 1) \ z) != u | K(x,y * z) = u. [para(14123(a,1),13066(a,1))]. given #12954 (H,wt=16): 14236 T(x,(y \ 1) \ z) != u | T(x,y * z) = u. [para(14127(a,2),4890(a,1))]. given #12955 (H,wt=16): 14245 T(x,y * (1 / z)) != u | T(x,y / z) = u. [para(14133(a,2),4890(a,1))]. given #12956 (H,wt=16): 14260 T(x,(y \ 1) * z) != u | T(x,y \ z) = u. [para(14182(a,2),4890(a,1))]. given #12957 (H,wt=16): 14277 K(x,y * z) != u | K(x,(y \ 1) \ z) = u. [para(451(a,1),14275(a,1,2))]. given #12958 (H,wt=16): 14278 K(x * y,z) != u | K((x \ 1) \ y,z) = u. [para(11543(a,1),14275(a,1))]. given #12959 (H,wt=16): 14280 K(x,(1 / y) * z) != u | K(x,y \ z) = u. [para(2920(a,1),14276(a,1,2))]. given #12960 (H,wt=16): 14282 K(x,y * (z \ 1)) != u | K(x,y / z) = u. [para(13192(a,1),14276(a,1))]. given #12961 (H,wt=16): 14283 x * K(L(y,z,z \ u),u) = x * K(y,u). [para(11533(a,2),14063(a,1,2))]. given #12962 (H,wt=14): 14307 K(x,L(y,z,z \ x)) * K(y,x) = 1. [hyper(5105,a,14283,a),flip(a)]. given #12963 (H,wt=12): 14308 K(x,L(y,z,z \ x)) = K(x,y). [hyper(5104,a,14307,a),flip(a)]. given #12964 (H,wt=14): 14309 K(x * y,L(z,x,y)) = K(x * y,z). [para(13(a,1),14308(a,1,2,3))]. given #12965 (H,wt=16): 14286 a(K(x,y),z,u) != w | a(x,z,K(u,y)) = w. [para(13981(a,2),14073(a,1))]. given #12966 (H,wt=16): 14287 a(x,y,K(z,u)) != w | a(u,y,K(x,z)) = w. [para(13990(a,1),14073(a,1))]. given #12967 (H,wt=16): 14288 K(x,a(y,z,u)) != w | a(u,z,K(y,x)) = w. [para(14004(a,1),14073(a,1))]. given #12968 (H,wt=16): 14299 T(x,(1 / y) \ z) != u | T(x,y * z) = u. [para(4501(a,2),14236(a,1))]. given #12969 (H,wt=16): 14300 T(x,(1 / y) * z) != u | T(x,y \ z) = u. [para(4502(a,2),14260(a,1))]. given #12970 (H,wt=16): 14303 K(x,(y \ 1) * z) != u | K(x,y \ z) = u. [para(5477(a,1),14280(a,1))]. given #12971 (H,wt=16): 14304 K(x,y * (1 / z)) != u | K(x,y / z) = u. [para(5472(a,2),14282(a,1))]. given #12972 (H,wt=16): 14314 a(K(x,y),z,u) != w | a(y,z,K(x,u)) = w. [para(13987(a,2),14287(a,1))]. given #12973 (H,wt=16): 14319 T(x,y * z) != u | T(x,(y \ 1) \ z) = u. [para(62(a,1),14300(a,1,2,1))]. given #12974 (H,wt=17): 13993 a(K(x,T(y,z)),u,w) = a(T(x,z),u,K(w,y)). [para(7260(a,1),13987(a,1,1))]. given #12975 (H,wt=17): 13999 K(x,y) * K(y,L(x,z,u)) = a(y,z,K(u,x)). [hyper(11529,a,13990,a)]. given #12976 (H,wt=17): 14000 K(x,L(y,z,u)) * K(y,x) = a(x,z,K(u,y)). [hyper(11518,a,13990,a)]. given #12977 (H,wt=17): 14002 a(x,y,K(y \ z,u)) = a(u,z,K(x,y \ z)). [hyper(236,a,11563,a,b,13990,a)]. given #12978 (H,wt=17): 14003 K(x,L(y,z,u)) * K(y,x) = a(y,z,K(x,u)). [hyper(236,a,11502,a,b,13990,a),flip(a)]. given #12979 (H,wt=17): 14005 a(x \ y,z,K(u,w)) = a(w,z,K(u,y \ x)). [hyper(236,a,12009,a(flip),b,13990,a)]. given #12980 (H,wt=17): 14009 x * a(y,z,K(u,w)) = x * a(w,z,K(y,u)). [hyper(21,a,13990,a)]. given #12981 (H,wt=17): 14014 a(x,y,K(z,K(u,w))) = a(u,y,K(x,K(z,w))). [para(7935(a,1),13990(a,1,3))]. given #12982 (H,wt=17): 14015 K(x,y) * a(y,z,K(x,u)) = L(K(x,y),z,u). [para(13990(a,2),10179(a,1,2))]. given #12983 (H,wt=17): 14017 K(x,y) * a(x,z,K(u,y)) = K(x,L(y,z,u)). [para(13990(a,1),11482(a,1,2))]. given #12984 (H,wt=17): 14018 K(x,y) * a(y,z,K(x,u)) = K(x,L(y,z,u)). [para(13990(a,2),11482(a,1,2))]. given #12985 (H,wt=15): 14335 K(x,L(y,z,L(z,u,w))) = K(x,y) * 1. [para(8538(a,1),14018(a,1,2)),flip(a)]. given #12986 (H,wt=16): 14339 K(x,L(y,z,L(z,u,w))) != v5 | K(x,y) = v5. [para(14335(a,2),83(a,1)),flip(b)]. given #12987 (H,wt=13): 14340 K(x,L(y,z,z)) != u | K(x,y) = u. [para(320(a,1),14339(a,1,2,3))]. given #12988 (H,wt=17): 14019 K(x,L(y,z,u)) * a(y,z,K(u,x)) = K(x,y). [para(13990(a,1),11503(a,1,2))]. given #12989 (H,wt=17): 14020 a(x,y,K(z,u)) * K(x,u) = K(x,L(u,y,z)). [para(13990(a,1),11513(a,1,1))]. given #12990 (H,wt=17): 14021 a(x,y,K(z,u)) * K(z,x) = K(z,L(x,y,u)). [para(13990(a,2),11513(a,1,1))]. given #12991 (H,wt=17): 14026 a(x,y,K(z,u)) \ w = a(z,y,K(x,u)) * w. [para(13990(a,1),11993(a,1,1))]. given #12992 (H,wt=17): 14027 a(x,y,K(z,u)) \ w = a(u,y,K(z,x)) * w. [para(13990(a,2),11993(a,1,1))]. given #12993 (H,wt=17): 14028 a(x,y,K(z,u)) * (a(u,y,K(z,x)) * w) = w. [para(13990(a,2),11995(a,1,1))]. given #12994 (H,wt=17): 14037 T(x,a(y,z,u) \ x) = x * a(x,z,K(y,u)). [para(13990(a,1),13916(a,2,2))]. given #12995 (H,wt=17): 14052 K(x,T((y \ 1) \ z,u)) = K(x,T(y * z,u)). [para(575(a,1),14042(a,1,2)),flip(a)]. given #12996 (H,wt=17): 14081 K(x,y) * K(z,a(x,u,y)) = K(x,L(y,u,z)). [para(14004(a,1),11482(a,1,2))]. given #12997 (H,wt=17): 14083 a(x,y,K(z,K(u,w))) = K(z,K(x,a(w,y,u))). [para(14004(a,1),13863(a,2,2))]. given #12998 (H,wt=17): 14087 a(x,y,K(z,K(u,w))) = K(x,K(z,a(u,y,w))). [para(13989(a,1),14004(a,2,2))]. given #12999 (H,wt=17): 14104 T(x \ K(y,z),K(y,z)) = K(y,z) * (x \ 1). [para(14046(a,1),7987(a,1,1))]. given #13000 (H,wt=17): 14120 T(x * K(y * x,z),y) = y \ T(x * y,z). [para(14050(a,1),6472(a,1,1,2))]. given #13001 (H,wt=17): 14148 (K(x,y) * K(z,u)) \ 1 = K(u,z) * K(y,x). [para(7549(a,1),14088(a,1,1)),flip(a)]. given #13002 (H,wt=17): 14151 (1 / (x / ((y * z) / y))) \ K(y,z) = x / z. [hyper(236,a,7556,a(flip),b,14090,a)]. given #13003 (H,wt=17): 14179 x * K(x / (1 / y),z) = K(y * x,z) * x. [para(14110(a,1),8113(a,1,1)),flip(a)]. given #13004 (H,wt=17): 14188 (K(x,y) / T(y,z)) \ 1 = K(y,z) * T(y,x). [hyper(236,a,5201,a,b,14144,a)]. given #13005 (H,wt=17): 14198 1 / (K(x,y) * T(x,z)) = K(y,x) / T(x,z). [para(3255(a,1),14189(a,1,2))]. given #13006 (H,wt=17): 14214 T(x * K(y,x),L(y,z,u)) = T(x,a(y,z,u)). [hyper(11604,a,14032,a)]. given #13007 (H,wt=15): 14361 T(T(x,y),a(y,z,u)) = T(x,L(y,z,u)). [para(4901(a,1),14214(a,1,1)),flip(a)]. given #13008 (H,wt=12): 14362 T(x,L(y,z,z \ 1)) = T(x,y). [hyper(14220,a,14361,a)]. given #13009 (H,wt=17): 14217 a(x \ 1,x,y) * z = z * a(x \ 1,x,y). [hyper(2261,a,14215,a),flip(a)]. given #13010 (H,wt=17): 14228 (x \ (y \ z)) * K(y,y \ z) = x \ (z / y). [hyper(72,a,4903,a(flip),b,14049,a),flip(a)]. given #13011 (H,wt=17): 14261 1 / (x \ K(y,1 / x)) = x * K(1 / x,y). [hyper(9506,a,14197,a),flip(a)]. given #13012 (H,wt=17): 14262 a(x * y,z,K(u,y)) = a(x,z,K(u,x * y)). [para(13(a,1),14213(a,1,3,2))]. given #13013 (H,wt=17): 14264 (x \ y) * K(x / y,y) = (y * (x / y)) \ y. [hyper(236,a,1447,a(flip),b,14225,a(flip))]. given #13014 (H,wt=17): 14266 (x \ ((y * z) / y)) * y = (x \ z) * T(y,z). [para(14226(a,2),6188(a,1,1))]. given #13015 (H,wt=17): 14267 K((x \ y) * K(z,y),x) = K(x \ y,T(x,z)). [para(14226(a,1),11019(a,1,1))]. given #13016 (H,wt=17): 14323 a(T(x,y),z,K(u,w)) = a(x,z,K(u,T(w,y))). [hyper(14286,a,13993,a),flip(a)]. given #13017 (H,wt=17): 14324 a(x,y,K(z,u)) * K(L(u,y,z),x) = K(u,x). [hyper(7559,a,13999,a)]. given #13018 (H,wt=17): 14329 a(x,y,K(z,K(u,w))) = a(u,y,K(z,K(x,w))). [para(7919(a,1),14014(a,2,3))]. given #13019 (H,wt=17): 14330 a(x,y,K(z,K(u,w))) = a(w,y,K(z,K(x,u))). [para(7923(a,2),14014(a,2,3)),flip(a)]. given #13020 (H,wt=17): 14341 K(x \ y,L(z,x,y)) != u | K(x \ y,z) = u. [para(11565(a,1),14340(a,1))]. given #13021 (H,wt=17): 14342 a(x,y,K(z,u)) * K(x,u) = L(K(x,u),y,z). [hyper(236,a,11470,a,b,14020,a)]. given #13022 (H,wt=17): 14348 a(x,y,K(z,u)) * K(z,x) = L(K(z,x),y,u). [hyper(236,a,11470,a,b,14021,a)]. given #13023 (H,wt=17): 14353 K(x,T(y \ 1,z) \ x) = K(x,T(y * x,z)). [hyper(236,a,8841,a,b,14052,a(flip)),flip(a)]. given #13024 (H,wt=17): 14368 R(x,y,z \ (1 / u)) = R(x,y,z \ (u \ 1)). [para(14228(a,1),13717(a,1,3))]. given #13025 (H,wt=17): 14369 1 / ((x * (y \ 1)) / x) = y * K(1 / y,x). [para(5227(a,1),14261(a,1,2))]. given #13026 (H,wt=18): 14035 x * a(x,y,K(z,u)) != w | T(x,a(u,y,z)) = w. [para(13990(a,2),13866(a,1,2))]. given #13027 (H,wt=18): 14077 a(x,y,K(z,u)) * x != w | T(x,a(u,y,z)) = w. [para(14004(a,2),4898(a,1,1))]. given #13028 (H,wt=18): 14137 K(x / y,L(z,u,u \ 1)) = K(x * (y \ 1),z). [hyper(236,a,14053,a,b,14068,a),flip(a)]. given #13029 (H,wt=16): 14377 K(x * (y \ 1),z) != u | K(x / y,z) = u. [para(14137(a,1),10721(a,1))]. given #13030 (H,wt=18): 14147 (x \ 1) * y != z | (x \ K(u,y)) * T(y,u) = z. [para(14088(a,1),6215(a,1,1))]. given #13031 (H,wt=18): 14203 K(x,K(y * z,L(u,z,y))) = K(x,K(u,y * z)). [para(14055(a,1),11551(a,1,2)),flip(a)]. given #13032 (H,wt=18): 14240 T(x \ 1,x * y) != z | ((x \ 1) \ y) \ y = z. [para(14235(a,1),375(a,1))]. given #13033 (H,wt=18): 14284 a(x,y,K(z,u \ z)) != w | a(u,y,K(z,x)) = w. [para(12005(a,2),14073(a,1))]. given #13034 (H,wt=15): 14379 a(x,y,K(z \ x,u)) = a(z,y,K(x,u)). [hyper(14284,a,13990,a(flip)),flip(a)]. given #13035 (H,wt=18): 14285 a(x,y,K(z,u \ 1)) != w | a(u,y,K(z,x)) = w. [para(12008(a,2),14073(a,1))]. given #13036 (H,wt=18): 14289 a(x * y,z,K(u,x)) != w | a(x,z,K(y,u)) = w. [para(13998(a,2),14073(a,1))]. given #13037 (H,wt=18): 14290 a(x,y,K(z \ 1,u)) != w | a(x,y,K(u,z)) = w. [para(14010(a,2),14073(a,1))]. given #13038 (H,wt=18): 14292 K((x \ 1) / y,z) != u | K(x \ (y \ 1),z) = u. [para(14068(a,1),14116(a,1))]. given #13039 (H,wt=18): 14298 K(x,((y \ 1) \ 1) * z) != u | K(x,y * z) = u. [para(14126(a,2),14234(a,1))]. given #13040 (H,wt=18): 14301 T(x,((y \ 1) \ 1) \ z) != u | T(x,y \ z) = u. [para(14235(a,2),14260(a,1))]. given #13041 (H,wt=18): 14302 K((1 / x) \ y,z) != u | K((x \ 1) \ y,z) = u. [para(14110(a,2),14278(a,1))]. given #13042 (H,wt=18): 14315 a(x,y,K(z,u)) != w | a(x,y,K(u \ 1,z)) = w. [para(14006(a,1),14287(a,1))]. given #13043 (H,wt=18): 14316 a(x,y,K(z,u)) != w | a(u,y,K(z,x \ 1)) = w. [para(14010(a,1),14287(a,1))]. given #13044 (H,wt=18): 14317 a(x * y,z,K(y,u)) != w | a(u,z,K(x,y)) = w. [para(14211(a,2),14287(a,1))]. given #13045 (H,wt=18): 14320 K(x,((y \ 1) \ 1) \ z) != u | K(x,y \ z) = u. [para(14051(a,2),14303(a,1))]. given #13046 (H,wt=18): 14322 K(x,x * a(y,z,u)) != w | a(y,z,K(x,u)) = w. [para(13982(a,2),14314(a,1))]. given #13047 (H,wt=18): 14380 a(x,y,K(z,u)) != w | a(x,y,K(u,z \ 1)) = w. [para(3247(a,1),14290(a,1,3))]. given #13048 (H,wt=18): 14383 T(x,(y \ 1) \ z) != u | T(x,(1 / y) \ z) = u. [para(65(a,1),14301(a,1,2,1,1))]. given #13049 (H,wt=18): 14386 a(x,y,K(z * u,u)) != w | a(x,y,K(z,u)) = w. [para(13990(a,1),14317(a,1))]. given #13050 (H,wt=18): 14387 K(x,(y \ 1) \ z) != u | K(x,(1 / y) \ z) = u. [para(65(a,1),14320(a,1,2,1,1))]. given #13051 (H,wt=19): 13988 a(K(a(x,y,z),u),w,v5) = a(a(x,y,z),K(v5,u),w). [hyper(236,a,47,a,b,13987,a)]. given #13052 (H,wt=19): 13994 a(K(x,L(y,z,u)),w,v5) = a(L(x,z,u),w,K(v5,y)). [para(11533(a,1),13987(a,1,1))]. given #13053 (H,wt=19): 14012 a(x,y,K(z \ (u \ w),u)) = a(u,y,K(x,z \ w)). [hyper(236,a,11746,a,b,13990,a(flip)),flip(a)]. given #13054 (H,wt=19): 14075 a(x,y,K(z,a(u,w,v5))) = K(x,a(a(u,w,v5),z,y)). [para(47(a,1),14004(a,2,2))]. given #13055 (H,wt=19): 14079 (x * y) * a(y,z,K(u,w)) = x * T(y,a(w,z,u)). [para(14004(a,2),6201(a,1,2))]. given #13056 (H,wt=19): 14086 a(a(x,y,K(z,u)),w,v5) = a(x,w,K(v5,a(u,y,z))). [para(14004(a,2),13987(a,1,1))]. given #13057 (H,wt=19): 14122 (x * K(y * (z \ x),z)) * y = (z \ (x * y)) * z. [para(14050(a,1),9901(a,1,1,2))]. given #13058 (H,wt=19): 14128 K(x,L((y \ 1) \ z,u,w)) = L(K(x,y * z),u,w). [para(14051(a,1),11470(a,1,1)),flip(a)]. given #13059 (H,wt=19): 14134 K(x,L(y * (z \ 1),u,w)) = L(K(x,y / z),u,w). [para(14060(a,1),11470(a,1,1)),flip(a)]. given #13060 (H,wt=19): 14153 (x \ K(y,z)) \ ((1 / x) * K(y,z)) = K(x,x \ 1). [hyper(72,a,14090,a(flip),b,3003,a)]. given #13061 (H,wt=19): 14163 L(x,(y \ 1) \ K(z,u),w) = L(x,y * K(z,u),w). [para(14090(a,1),7004(a,1,2)),flip(a)]. given #13062 (H,wt=19): 14164 (1 / x) \ K(y,z * u) = x * K(y,(z \ 1) \ u). [para(14051(a,1),14090(a,1,2))]. given #13063 (H,wt=19): 14194 K(x / (K(y,z) / u),w) = K(x * (u * K(z,y)),w). [para(14144(a,1),14068(a,1,1,2)),flip(a)]. given #13064 (H,wt=19): 14205 K(x,y * z) * L(x,z,y) = L(T(x,y * z),z,y). [para(14202(a,1),4969(a,1,1))]. given #13065 (H,wt=19): 14208 a(x,y,K(z,u * (z \ w))) = a(u * w,y,K(x,z)). [para(10632(a,1),13997(a,1,3))]. given #13066 (H,wt=19): 14210 a(x,y,K(z,u)) * K(x,z) = K(x,L(z,y,u \ 1)). [para(14006(a,1),11513(a,1,1))]. given #13067 (H,wt=17): 14405 K(x,L(y,z,L(z,u,w) \ 1)) = 1 * K(x,y). [para(8538(a,1),14210(a,1,1)),flip(a)]. given #13068 (H,wt=17): 14406 K(x,L(y,L(z,u,w),z \ 1)) = 1 * K(x,y). [para(11254(a,1),14210(a,1,1)),flip(a)]. given #13069 (H,wt=18): 14407 K(x,L(y,z,L(z,u,w) \ 1)) != v5 | K(x,y) = v5. [para(14405(a,2),75(a,1)),flip(b)]. given #13070 (H,wt=18): 14408 K(x,L(y,L(z,u,w),z \ 1)) != v5 | K(x,y) = v5. [para(14406(a,2),75(a,1)),flip(b)]. given #13071 (H,wt=19): 14253 (x * (y \ 1)) * T(z,x / y) = z * (x * (y \ 1)). [para(14246(a,1),119(a,1,2))]. given #13072 (H,wt=19): 14269 K((x * y) \ (y * z),x * y) = K(x \ z,x * y). [para(15(a,1),14229(a,1,1,1)),flip(a)]. given #13073 (H,wt=19): 14272 L(K(x,y),z \ 1,z) != u * w | u \ K(x,y) = w. [para(14044(a,2),305(a,1))]. given #13074 (H,wt=19): 14326 K(x,y) * K(y,L(x,z,u)) = a(y,y \ z,K(u,x)). [para(11540(a,1),13999(a,1,2))]. given #13075 (H,wt=15): 14412 a(x,x \ y,K(z,u)) = a(x,y,K(z,u)). [hyper(236,a,13999,a(flip),b,14326,a(flip))]. given #13076 (H,wt=15): 14413 a(x,y \ z,K(y,u)) = a(y,z,K(u,x)). [hyper(14287,a,14412,a)]. given #13077 (H,wt=15): 14415 a(x,y \ z,K(y,u)) = a(x,z,K(y,u)). [hyper(236,a,13990,a(flip),b,14413,a)]. given #13078 (H,wt=15): 14417 a(x,y * z,K(y,u)) = a(x,z,K(y,u)). [para(13(a,1),14415(a,1,2)),flip(a)]. given #13079 (H,wt=18): 14416 a(x,y \ z,K(y,u)) != w | a(x,z,K(y,u)) = w. [para(14413(a,2),14287(a,1))]. given #13080 (H,wt=18): 14418 a(x,y \ z,K(y,u)) != w | a(y,z,K(u,x)) = w. [para(14415(a,2),14073(a,1))]. given #13081 (H,wt=19): 14334 K(x,y) * a(x,z,K(u,y)) = K(x,L(y,z,y \ u)). [para(11740(a,1),14017(a,1,2))]. given #13082 (H,wt=15): 14421 K(x,L(y,z,y \ u)) = K(x,L(y,z,u)). [hyper(236,a,14017,a(flip),b,14334,a(flip))]. given #13083 (H,wt=19): 14352 x * a(y,z,K(u,x \ 1)) = T(x,a(u,z,y) \ x). [para(14001(a,2),14037(a,2,2)),flip(a)]. given #13084 (H,wt=19): 14355 K(x,y) \ K(x,L(y,z,u)) = K(u,a(x,y \ z,y)). [hyper(72,a,11474,a(flip),b,14081,a)]. given #13085 (H,wt=19): 14366 K((x \ (y / z)) \ u,z) = K((x \ (z \ y)) \ u,z). [para(14228(a,1),8684(a,1,1,1))]. given #13086 (H,wt=19): 14391 a(a(x,y,K(z,u)),w,v5) = a(a(x,y,z),K(v5,u),w). [para(13871(a,2),13988(a,1,1))]. given #13087 (H,wt=19): 14392 a(L(x,y,z),u,K(w,v5)) = a(x,u,K(w,L(v5,y,z))). [hyper(14286,a,13994,a),flip(a)]. given #13088 (H,wt=19): 14394 a(x,y,K(z,u \ (x \ w))) = a(x,y,K(z,u \ w)). [hyper(14287,a,14012,a)]. given #13089 (H,wt=19): 14395 a(x,y,K(z,a(u,w,v5))) = a(x,z,K(y,a(u,w,v5))). [hyper(236,a,14004,a,b,14075,a)]. given #13090 (H,wt=19): 14396 a(a(x,y,K(z,u)),w,v5) = a(x,w,a(v5,y,K(z,u))). [para(14004(a,2),14086(a,2,3))]. given #13091 (H,wt=19): 14397 x \ ((y \ (x * z)) * y) = z * K(x * (y \ z),y). [hyper(18,a,4788,a,b,14122,a),flip(a)]. given #13092 (H,wt=19): 14400 K(x,L(y * (z \ 1),u,w)) = K(x,L(y / z,u,w)). [hyper(236,a,11470,a(flip),b,14134,a)]. given #13093 (H,wt=19): 14402 x * K(y,(z \ 1) \ (z \ u)) = (1 / x) \ K(y,u). [para(14(a,1),14164(a,1,2,2)),flip(a)]. given #13094 (H,wt=15): 14429 (1 / (x \ T(y,z))) \ K(z,y) = x \ y. [hyper(7673,a,14402,a),flip(a)]. given #13095 (H,wt=13): 14430 (x \ T(y,z)) * K(z,y) = x \ y. [hyper(14096,a,14429,a)]. given #13096 (H,wt=13): 14431 (x \ T(y,z)) \ (x \ y) = K(z,y). [hyper(72,a,14429,a(flip),b,14090,a(flip))]. given #13097 (H,wt=13): 14432 (x \ y) * K(y,z) = x \ T(y,z). [hyper(7559,a,14430,a)]. given #13098 (H,wt=13): 14433 (T(x,y) / z) \ x = z * K(y,x). [hyper(582,a,14430,a),flip(a)]. given #13099 (H,wt=13): 14436 (x \ y) \ (x \ T(y,z)) = K(y,z). [para(14430(a,1),7549(a,1,1))]. given #13100 (H,wt=13): 14441 (x / y) \ T(x,z) = y * K(x,z). [hyper(582,a,14432,a),flip(a)]. given #13101 (H,wt=13): 14452 x / (y * K(z,x)) = T(x,z) / y. [para(14433(a,1),62(a,1,2))]. given #13102 (H,wt=13): 14455 (x / y) * (y * K(x,z)) = T(x,z). [para(14441(a,1),14(a,1,2))]. given #13103 (H,wt=13): 14462 T(x,y) / (z \ x) = K(x,y) * z. [hyper(74,a,14455,a(flip),b,11206,a)]. given #13104 (H,wt=13): 14463 (K(x,y) * z) \ T(x,y) = z \ x. [hyper(72,a,14455,a(flip),b,11206,a)]. given #13105 (H,wt=13): 14465 K(x,y) * (x / z) = T(x,y) / z. [para(65(a,1),14462(a,1,2)),flip(a)]. given #13106 (H,wt=13): 14472 (K(x,y) * z) \ y = z \ T(y,x). [para(5268(a,1),14463(a,1,1)),flip(a)]. given #13107 (H,wt=13): 14474 K(x,y) * (T(y,x) / z) = y / z. [hyper(5285,a,14465,a)]. given #13108 (H,wt=13): 14475 K(x,y) \ (y / z) = T(y,x) / z. [hyper(5283,a,14465,a)]. given #13109 (H,wt=15): 14451 (1 / (x \ y)) * (x \ T(y,z)) = K(y,z). [para(14432(a,1),14154(a,1,2))]. given #13110 (H,wt=15): 14461 T(x,y) / (z * T(x,y)) = x / (z * x). [para(7554(a,1),14452(a,1,2)),flip(a)]. given #13111 (H,wt=15): 14464 T(x,y) / ((1 / y) \ x) = 1 / T(y,x). [hyper(236,a,5173,a(flip),b,14462,a)]. given #13112 (H,wt=15): 14468 (K(x,y) * z) \ x = (z \ x) * K(y,x). [para(14462(a,1),14433(a,1,1))]. given #13113 (H,wt=15): 14471 (T(x,y) * z) \ T(x,y) = (x * z) \ x. [para(4906(a,1),14463(a,1,1))]. given #13114 (H,wt=15): 14487 (K(x,y) * z) \ x = z \ (x * K(y,x)). [hyper(236,a,14225,a,b,14468,a)]. given #13115 (H,wt=16): 14437 (x \ y) \ (x \ T(y,z)) != u | K(y,z) = u. [para(14430(a,1),7560(a,1,1))]. given #13116 (H,wt=16): 14438 (x \ y) * K(y,z) != u | x \ T(y,z) = u. [para(14430(a,1),7577(a,1,1)),flip(b)]. given #13117 (H,wt=16): 14467 (K(x,y) * z) \ T(x,y) != u | z \ x = u. [para(14462(a,1),282(a,1,1)),flip(b)]. given #13118 (H,wt=16): 14470 T(x,y) / (z \ x) != u | K(x,y) * z = u. [para(14463(a,1),294(a,1,2)),flip(b)]. given #13119 (H,wt=16): 14491 K(x \ ((1 / x) \ y),x) != z | K(y,x) = z. [para(946(a,1),14437(a,1))]. given #13120 (H,wt=16): 14492 x * K(y,z) != u | (y / x) \ T(y,z) = u. [para(65(a,1),14438(a,1,1))]. given #13121 (H,wt=16): 14494 K(x \ y,x) != z | K((1 / x) * y,x) = z. [para(13(a,1),14491(a,1,1,2))]. given #13122 (H,wt=17): 14435 K(x,y) * (z \ T(y,x)) = T(z \ y,K(y,x)). [para(14430(a,1),7396(a,1,1)),flip(a)]. given #13123 (H,wt=17): 14443 K(x,y \ z) * (y \ x) = y \ T(x,z / y). [hyper(236,a,9397,a,b,14432,a(flip)),flip(a)]. given #13124 (H,wt=17): 14466 ((x \ y) \ y) / (z \ x) = K(x,x \ y) * z. [para(120(a,1),14462(a,1,1))]. given #13125 (H,wt=17): 14473 T(1 / (x / y),x) \ 1 = T(x,x \ y) / y. [hyper(5888,a,14465,a)]. given #13126 (H,wt=17): 14480 T(T(x,y) / z,K(x,y)) = (x / z) * K(x,y). [para(14465(a,1),7222(a,1,1))]. given #13127 (H,wt=17): 14484 K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = K(y,z). [hyper(236,a,6142,a,b,14451,a(flip)),flip(a)]. given #13128 (H,wt=17): 14498 K(((((x \ 1) \ y) \ 1) * x) \ 1,z) = K(y,z). [hyper(236,a,5921,a(flip),b,14484,a(flip)),flip(a)]. given #13129 (H,wt=15): 14499 T(x,y) / ((1 / z) \ x) = K(x,y) / z. [para(14498(a,1),6783(a,2,1))]. given #13130 (H,wt=13): 14500 K(x,y) * (1 / z) = K(x,y) / z. [hyper(14470,a,14499,a)]. given #13131 (H,wt=13): 14502 K(x,y) * (K(y,x) / z) = 1 / z. [hyper(5285,a,14500,a)]. given #13132 (H,wt=13): 14503 K(x,y) / (z \ 1) = K(x,y) * z. [hyper(536,a,14500,a),flip(a)]. given #13133 (H,wt=13): 14511 1 / (x \ K(y,z)) = K(z,y) * x. [hyper(536,a,14502,a),flip(a)]. given #13134 (H,wt=13): 14513 (K(x,y) * z) \ K(x,y) = z \ 1. [para(14503(a,1),65(a,1,1))]. given #13135 (H,wt=12): 14524 L(x \ 1,x,K(y,z)) = x \ 1. [hyper(383,a,14513,a)]. given #13136 (H,wt=13): 14518 (K(x,y) * z) \ 1 = z \ K(y,x). [para(14511(a,1),65(a,1,1))]. given #13137 (H,wt=15): 14505 T(x,y) * (K(y,x) / z) = x * (1 / z). [para(14500(a,1),5207(a,1,2))]. given #13138 (H,wt=15): 14526 (T(x,y) \ z) \ 1 = (x \ z) \ K(x,y). [para(5178(a,1),14513(a,1,1)),flip(a)]. given #13139 (H,wt=15): 14527 (T(x,y) \ z) \ K(y,x) = (x \ z) \ 1. [para(5204(a,1),14513(a,1,1))]. given #13140 (H,wt=16): 14504 K(x,y) / (z \ 1) != u | K(x,y) * z = u. [para(14500(a,1),536(a,1))]. given #13141 (H,wt=16): 14512 K(x,y) * (1 / z) != u | K(x,y) / z = u. [para(14502(a,1),5271(a,1,2)),flip(b)]. given #13142 (H,wt=16): 14514 (K(x,y) * z) \ K(x,y) != u | z \ 1 = u. [para(14503(a,1),282(a,1,1)),flip(b)]. given #13143 (H,wt=16): 14515 K(x,y) / (x \ 1) != z | x * K(x,y) = z. [para(14503(a,2),3254(a,1))]. given #13144 (H,wt=16): 14519 (K(x,y) * z) \ 1 != u | z \ K(y,x) = u. [para(14511(a,1),282(a,1,1)),flip(b)]. given #13145 (H,wt=17): 14508 T(K(x,y) / z,K(x,y)) = (1 / z) * K(x,y). [para(14500(a,1),7222(a,1,1))]. given #13146 (H,wt=17): 14509 (K(x,y) / z) * K(y,x) = T(1 / z,K(x,y)). [para(14500(a,1),7986(a,1,1))]. given #13147 (H,wt=18): 14493 (T(x,y) * z) \ T(x,y) != u | (x * z) \ x = u. [para(4906(a,1),14467(a,1,1))]. given #13148 (H,wt=14): 14554 K(x,y) != z | (u * K(y,x)) \ u = z. [para(7549(a,1),14493(a,1))]. given #13149 (H,wt=18): 14510 K(x,L(y,z \ 1,z)) / u = K(x,y) * (1 / u). [para(14042(a,1),14500(a,1,1)),flip(a)]. given #13150 (H,wt=14): 14555 L(x,x \ K(y,z),x) \ 1 = 1 / x. [hyper(17,a,13363,a,b,14510,a(flip)),flip(a)]. given #13151 (H,wt=14): 14557 L(x,x \ K(y,z),x) = 1 / (1 / x). [para(14555(a,1),62(a,1,2)),flip(a)]. given #13152 (H,wt=19): 14404 a(x,y,K(z,u)) * K(x,z) = K(x,L(z,y,1 / u)). [para(3601(a,2),14210(a,2,2))]. given #13153 (H,wt=19): 14409 K(x * ((y * x) \ z),y * x) = K(y \ z,y * x). [hyper(10746,a,14269,a)]. given #13154 (H,wt=19): 14410 K((x * y) \ z,x * y) = K(x \ (y \ z),x * y). [para(14(a,1),14269(a,1,1,2))]. given #13155 (H,wt=19): 14419 K(x,L(y,z \ u,z)) = K(x,y) * a(x,u,K(z,y)). [para(14415(a,1),14017(a,1,2)),flip(a)]. given #13156 (H,wt=15): 14565 K(x,L(y,z \ u,z)) = K(x,L(y,u,z)). [hyper(236,a,14017,a(flip),b,14419,a)]. given #13157 (H,wt=17): 14571 K(x,L(y,z \ T(u,z),z)) = K(x,L(y,u,z)). [para(11116(a,1),14565(a,2,2))]. given #13158 (H,wt=17): 14572 K(x,L(y,z,u \ z)) = K(x,L(y,u,u \ z)). [para(11123(a,1),14565(a,1,2)),flip(a)]. given #13159 (H,wt=15): 14573 K(x,L(y,z,z \ x)) != u | K(x,y) = u. [para(14572(a,1),10721(a,1))]. given #13160 (H,wt=17): 14574 K(x * y,L(z,x,y)) != u | K(x * y,z) = u. [para(13(a,1),14573(a,1,2,3))]. given #13161 (H,wt=18): 14567 K(x,L(y \ (z \ u),u,z)) = K(x,(z * y) \ u). [hyper(11497,a,14565,a),flip(a)]. given #13162 (H,wt=18): 14569 K((x \ y) \ z,L(u,y,x)) = K(y \ (x * z),u). [hyper(236,a,11544,a(flip),b,14565,a(flip))]. given #13163 (H,wt=18): 14570 K(x,L((y \ z) \ u,z,y)) = K(x,z \ (y * u)). [para(450(a,1),14565(a,1,2)),flip(a)]. given #13164 (H,wt=15): 14580 K(x,(y \ x) \ z) = K(x,x \ (y * z)). [hyper(10721,a,14570,a)]. given #13165 (H,wt=19): 14420 a(x,y * z,K(u,K(w,y))) = a(x,z,K(y,K(u,w))). [para(7923(a,2),14417(a,1,3))]. given #13166 (H,wt=19): 14422 K(L(x,y,x \ z),u) = w / (K(u,L(x,y,z)) * w). [para(14421(a,1),5266(a,1,2,1)),flip(a)]. given #13167 (H,wt=15): 14584 K(L(x,y,x \ z),u) = K(L(x,y,z),u). [hyper(236,a,5266,a(flip),b,14422,a)]. given #13168 (H,wt=15): 14585 K(L(x,y,x \ z),u) = K(x,L(u,y,z)). [hyper(236,a,11533,a(flip),b,14584,a)]. given #13169 (H,wt=15): 14586 K(x,L(y,z,x \ u)) = K(x,L(y,z,u)). [hyper(11595,a,14585,a)]. given #13170 (H,wt=19): 14424 a(x,y,K(z,a(u,w,v5))) = a(x,z,a(y,w,K(v5,u))). [para(14004(a,2),14395(a,1,3)),flip(a)]. given #13171 (H,wt=19): 14425 a(a(x,y,z),K(u,w),v5) = a(x,v5,a(u,y,K(z,w))). [hyper(236,a,14391,a(flip),b,14396,a(flip)),flip(a)]. given #13172 (H,wt=19): 14449 (x \ y) * a(y,z,K(u,w)) = x \ T(y,a(w,z,u)). [para(14004(a,2),14432(a,1,2))]. given #13173 (H,wt=19): 14479 (x \ y) * (T(x,x \ y) / z) = (y / x) * (x / z). [para(14465(a,1),5571(a,1,2))]. given #13174 (H,wt=19): 14483 T(x,(y \ T(z,u)) \ z) = T(x,T(K(u,z) * y,z)). [para(14472(a,1),8330(a,1,2,1))]. given #13175 (H,wt=19): 14520 K(x,(K(y,z) * u) \ w) = K(x,(u \ K(z,y)) * w). [para(14511(a,1),14125(a,1,2,1))]. given #13176 (H,wt=19): 14521 K(x / (K(y,z) * u),w) = K(x * (u \ K(z,y)),w). [para(14511(a,1),14138(a,1,1,2))]. given #13177 (H,wt=19): 14522 T(x,(y \ K(z,u)) \ w) = T(x,(K(u,z) * y) * w). [para(14511(a,1),14239(a,1,2,1)),flip(a)]. given #13178 (H,wt=19): 14528 ((x / y) \ z) \ K(y \ x,y) = ((y \ x) \ z) \ 1. [para(5507(a,1),14513(a,1,1))]. given #13179 (H,wt=19): 14529 ((x \ y) \ z) \ K(x,x \ y) = ((y / x) \ z) \ 1. [para(5757(a,1),14513(a,1,1))]. given #13180 (H,wt=19): 14540 a(x,(y \ K(z,u)) \ 1,w) = a(x,K(u,z) * y,w). [para(14518(a,1),10970(a,1,2,1))]. given #13181 (H,wt=19): 14541 K(x,y / (K(z,u) * w)) = K(x,y * (w \ K(u,z))). [para(14518(a,1),14060(a,1,2,2)),flip(a)]. given #13182 (H,wt=19): 14553 T(1 / (x * K(y,z)),K(z,y)) = (1 / x) * K(z,y). [para(14189(a,2),14508(a,1,1))]. given #13183 (H,wt=15): 14589 1 / (K(x,y) * z) = (1 / z) * K(y,x). [hyper(236,a,9340,a(flip),b,14553,a(flip)),flip(a)]. given #13184 (H,wt=19): 14560 K((x * y) \ z,y * x) = K(y \ (x \ z),y * x). [hyper(236,a,6633,a,b,14410,a(flip)),flip(a)]. given #13185 (H,wt=19): 14575 K(x \ y,(y * z) \ x) = K(x \ y,z \ (y \ x)). [hyper(14341,a,14567,a),flip(a)]. given #13186 (H,wt=19): 14583 a(x,y * z,K(u,K(w,y))) = a(x,z,K(u,K(w,y))). [para(7923(a,2),14420(a,2,3))]. given #13187 (H,wt=19): 14587 a(x,y,a(z,u,K(w,v5))) = a(x,z,a(y,u,K(w,v5))). [para(14004(a,2),14424(a,1,3))]. given #13188 (H,wt=20): 14022 K(x,y) * a(x,z,K(u,y)) != w | K(x,L(y,z,u)) = w. [para(13990(a,1),11519(a,1,2))]. given #13189 (H,wt=18): 14593 K(x,L(y,z,y \ u)) != w | K(x,L(y,z,u)) = w. [para(14334(a,1),14022(a,1))]. given #13190 (H,wt=18): 14594 K(x,L(y,z \ u,z)) != w | K(x,L(y,u,z)) = w. [para(14419(a,2),14022(a,1))]. given #13191 (H,wt=20): 14023 K(x,y) * a(y,z,K(x,u)) != w | K(x,L(y,z,u)) = w. [para(13990(a,2),11519(a,1,2))]. given #13192 (H,wt=20): 14024 a(x,y,K(z,u)) != w | K(u,x) * K(x,L(u,y,z)) = w. [para(13990(a,1),11529(a,1))]. given #13193 (H,wt=20): 14025 a(x,y,K(z,u)) * K(x,u) != w | K(x,L(u,y,z)) = w. [para(13990(a,1),11530(a,1,1))]. given #13194 (H,wt=20): 14029 a(x,y,K(z,u)) * (a(u,y,K(z,x)) * w) != v5 | v5 = w. [para(13990(a,2),11997(a,1,1))]. given #13195 (H,wt=20): 14030 a(x,y,K(z,u)) * w != v5 | a(u,y,K(z,x)) * v5 = w. [para(13990(a,2),11999(a,1,1))]. given #13196 (H,wt=20): 14071 a(x,y,z) \ a(z,y,K(x,u)) = T(a(x,y,z),u) \ 1. [hyper(72,a,13995,a,b,4828,a(flip))]. given #13197 (H,wt=20): 14145 K(x \ 1,x) * (y \ 1) != z | y \ K(x \ 1,x) = z. [para(14088(a,1),3664(a,1,2)),flip(b)]. given #13198 (H,wt=20): 14157 (1 / x) \ K(y,z) != u * w | u \ (x * K(y,z)) = w. [para(14090(a,2),545(a,1))]. given #13199 (H,wt=20): 14167 x * ((y \ 1) * K(z,u)) != w | x * (y \ K(z,u)) = w. [para(14092(a,1),307(a,1,2,2))]. given #13200 (H,wt=20): 14168 (x \ 1) * K(y,z) != u * w | u \ (x \ K(y,z)) = w. [para(14092(a,1),367(a,1,2))]. given #13201 (H,wt=20): 14185 K(x * y,y \ 1) != z | K((y \ 1) \ x,y \ 1) = z. [para(14136(a,1),5335(a,1))]. given #13202 (H,wt=20): 14187 K(x,K(y / (z \ 1),u)) != w | K(x,K(u,y * z)) = w. [para(14136(a,2),7971(a,1,2))]. given #13203 (H,wt=20): 14206 K(x,y * z) * (y * (z * x)) = L(x,z,y) * (y * z). [para(14202(a,1),4982(a,1,1))]. given #13204 (H,wt=20): 14209 a(x,y,K(z,u)) * a(u,y,z) = T(a(u,y,z),x \ 1). [para(14001(a,1),13876(a,1,1))]. given #13205 (H,wt=20): 14268 K((x \ y) * K(z,y),x) != u | K(x \ y,T(x,z)) = u. [para(14226(a,1),11020(a,1,1))]. given #13206 (H,wt=20): 14270 T(x,y \ z) != u * w | u \ T(x,(y \ 1) * z) = w. [para(14242(a,1),8556(a,1))]. given #13207 (H,wt=20): 14295 K(x,K(y,a(z,u,w))) != v5 | a(x,u,K(y,K(z,w))) = v5. [para(13989(a,1),14143(a,1,2))]. given #13208 (H,wt=20): 14311 K(x,y) * K(y,L(x,z,u)) != w | a(y,z,K(u,x)) = w. [para(11500(a,2),14287(a,1))]. given #13209 (H,wt=20): 14312 K(x,L(y,z,u)) * K(y,x) != w | a(x,z,K(u,y)) = w. [para(11502(a,2),14287(a,1))]. given #13210 (H,wt=20): 14328 a(x,y,K(z,u \ w)) != v5 | a(x,y,K(w \ u,z)) = v5. [para(14005(a,1),14287(a,1))]. given #13211 (H,wt=18): 14602 a(x,y,K(z,u)) != w | a(x,y,K(u \ z,z)) = w. [para(12004(a,1),14328(a,1))]. given #13212 (H,wt=20): 14331 K(x,L(y,z,u)) != K(x,y) * w | a(x,z,K(u,y)) = w. [para(14017(a,1),19(a,1))]. given #13213 (H,wt=20): 14337 K(x,y) * a(y,z,K(x,u)) != w | L(K(x,y),z,u) = w. [para(14018(a,2),11472(a,1))]. given #13214 (H,wt=20): 14351 a(x,y,K(z,u)) * w != v5 | a(z,y,K(u,x)) * w = v5. [para(14028(a,1),11997(a,1,2)),flip(b)]. given #13215 (H,wt=20): 14356 K(x,y) \ K(x,L(y,z,u)) != w | K(u,a(x,z,y)) = w. [para(14081(a,1),283(a,1,2)),flip(b)]. given #13216 (H,wt=15): 14604 K(x,a(y,z \ u,z)) = K(x,a(y,u,z)). [hyper(14356,a,14355,a),flip(a)]. given #13217 (H,wt=17): 14605 T(x,a(y,z \ u,z)) = x * K(x,a(y,u,z)). [para(14604(a,1),4887(a,2,2))]. given #13218 (H,wt=15): 14606 T(x,a(y,z \ u,z)) = T(x,a(y,u,z)). [hyper(236,a,4887,a,b,14605,a)]. given #13219 (H,wt=15): 14607 T(x,a(y,z * u,z)) = T(x,a(y,u,z)). [para(13(a,1),14606(a,1,2,2)),flip(a)]. given #13220 (H,wt=20): 14373 L(K(x,y),z,u) != w * K(x,y) | a(x,z,K(u,y)) = w. [para(14342(a,1),20(a,1))]. given #13221 (H,wt=20): 14381 a(x,y,K(z \ u,w)) != v5 | a(x,y,K(w,u \ z)) = v5. [para(6269(a,1),14290(a,1,3))]. given #13222 (H,wt=20): 14385 a(x,y,K(z \ u,u)) != w | a(x,y,K(z \ 1,u)) = w. [para(12006(a,2),14315(a,1))]. given #13223 (H,wt=20): 14457 (x / y) * (y * K(x,z)) != u * w | u \ T(x,z) = w. [para(14441(a,1),367(a,1,2))]. given #13224 (H,wt=20): 14458 (x / y) * (y * K(x,z)) != u * w | T(x,z) / w = u. [para(14441(a,1),529(a,1,2))]. given #13225 (H,wt=20): 14525 T(x,K(y,z)) \ 1 != u | (x * K(y,z)) \ K(y,z) = u. [para(14513(a,1),518(a,1))]. given #13226 (H,wt=17): 14609 (x * K(y,z)) \ K(y,z) = T(x \ 1,K(y,z)). [hyper(14525,a,9387,a)]. given #13227 (H,wt=19): 14610 T(x \ 1,K(y,z)) * K(z,y) = (x * K(y,z)) \ 1. [para(14609(a,1),14088(a,1,1))]. given #13228 (H,wt=15): 14611 (x * K(y,z)) \ 1 = K(z,y) * (x \ 1). [hyper(7674,a,14610,a),flip(a)]. given #13229 (H,wt=17): 14614 K(x,y) * ((z / x) \ 1) = (z / T(x,y)) \ 1. [para(7555(a,1),14611(a,1,1)),flip(a)]. given #13230 (H,wt=17): 14615 K(x,y) * ((z \ 1) \ 1) = (z \ K(y,x)) \ 1. [para(14046(a,1),14611(a,1,1)),flip(a)]. given #13231 (H,wt=20): 14537 (K(x,y) * K(z,u)) \ 1 != w | K(u,z) * K(y,x) = w. [para(14518(a,2),5286(a,1))]. given #13232 (H,wt=20): 14549 (1 / x) * K(y,1 / x) != z | K(y,1 / x) / x = z. [para(3138(a,1),14512(a,1))]. given #13233 (H,wt=20): 14550 K(x,y) * (K(z,u) / u) != w | K(x,y) / T(u,z) = w. [para(4832(a,2),14512(a,1,2))]. given #13234 (H,wt=20): 14551 ((x * K(y,x)) \ z) \ 1 != u | (x \ z) \ K(y,x) = u. [para(5510(a,2),14519(a,1,1))]. given #13235 (H,wt=20): 14566 K((x * ((x \ y) * z)) \ y,u) = K(z \ 1,L(u,y,x)). [hyper(11641,a,14565,a)]. given #13236 (H,wt=20): 14577 K(x,(y * ((y \ z) * u)) \ z) = K(x,L(u \ 1,z,y)). [hyper(236,a,11605,a(flip),b,14567,a(flip))]. given #13237 (H,wt=20): 14595 K(x,L(y,z,z \ u)) != w | K(x,L(y,u,z \ u)) = w. [para(11123(a,1),14594(a,1,2))]. given #13238 (H,wt=20): 14598 a(x,y,K(z,u)) * w != v5 | a(u,y,K(x,z)) * w = v5. [para(11995(a,1),14029(a,1,2)),flip(b)]. given #13239 (H,wt=18): 14622 T(x,a(y,z,u)) != w | a(y,z,K(x,u)) * x = w. [para(14034(a,1),14598(a,1))]. given #13240 (H,wt=20): 14601 a(x,y,K(z,y \ u)) != w | a(x,u,K(u \ y,z)) = w. [para(11563(a,1),14328(a,1))]. given #13241 (H,wt=20): 14603 a(x,y,K(z,u)) \ w != v5 | a(z,y,K(x,u)) * w = v5. [para(14027(a,2),14351(a,1))]. given #13242 (H,wt=20): 14608 a(x,y,K(z,y \ u)) != w | a(x,u,K(z,y \ u)) = w. [para(12011(a,1),14381(a,1))]. given #13243 (H,wt=21): 14016 K(x,y) * (L(K(y,x),z,u) * w) = a(y,z,K(u,x)) * w. [para(13990(a,1),10185(a,2,1))]. given #13244 (H,wt=21): 14066 R(x * K(y,x),z,z \ 1) = R(x,z,z \ 1) * K(y,x). [para(14058(a,1),5658(a,1,2)),flip(a)]. given #13245 (H,wt=21): 14112 K((x \ 1) \ (y * ((z \ 1) \ 1)),u) = K(x * (y * z),u). [hyper(236,a,5735,a,b,14050,a(flip)),flip(a)]. given #13246 (H,wt=17): 14624 K(x * (y * (x \ 1)),z) = K(y,T(z,x \ 1)). [hyper(7826,a,14112,a),flip(a)]. given #13247 (H,wt=18): 14625 K(x * (y * (x \ 1)),z) != u | K(y,T(z,x)) = u. [para(14624(a,2),9368(a,1))]. given #13248 (H,wt=21): 14124 K(x,a(y,z,u \ 1) \ 1) = K(x,u * L(u \ 1,z,y)). [hyper(236,a,13732,a,b,14051,a(flip)),flip(a)]. given #13249 (H,wt=21): 14146 K(x,x \ K(y,z)) * K(z,y) = x \ ((x \ K(y,z)) \ 1). [para(14088(a,1),5176(a,1,2)),flip(a)]. given #13250 (H,wt=21): 14159 ((x \ 1) \ K(y,z)) * (x \ 1) = (x * K(y,z)) * (1 / x). [para(14090(a,1),2970(a,1,1)),flip(a)]. given #13251 (H,wt=21): 14161 K(x,y * ((z \ 1) \ K(u,w))) = K(x,y * (z * K(u,w))). [para(14090(a,1),5486(a,1,2,2)),flip(a)]. given #13252 (H,wt=21): 14171 (x \ K(y,z * (y \ u))) \ (x \ 1) = K((y \ z) * u,y). [para(12847(a,1),14101(a,1,1,2))]. given #13253 (H,wt=15): 14626 K((x \ y) * z,x) = K(y * (x \ z),x). [hyper(14103,a,14171,a),flip(a)]. given #13254 (H,wt=15): 14627 K(x \ (y * z),x) = K((x \ y) * z,x). [hyper(236,a,10745,a,b,14626,a),flip(a)]. given #13255 (H,wt=21): 14183 K(x \ y,(1 / (y / x)) * z) = K(x \ y,z / (y / x)). [hyper(13123,a,14130,a)]. given #13256 (H,wt=21): 14212 a(x,y,K(z \ u,w \ (u \ z))) = a(w,y,K(x,u \ z)). [hyper(236,a,12009,a,b,14011,a(flip)),flip(a)]. given #13257 (H,wt=21): 14216 T(a(x,y,z) \ u,a(z,y,x)) != w | u / a(x,y,z) = w. [para(14032(a,1),13879(a,1))]. given #13258 (H,wt=21): 14222 K((x \ y) \ (T(x,z) \ 1),u) = K((K(x,z) * y) \ 1,u). [para(4857(a,1),14043(a,1,1,1)),flip(a)]. given #13259 (H,wt=21): 14223 (x * y) / (K(z \ (u \ 1),x) * y) = T(x,(u * z) \ 1). [para(14043(a,1),5354(a,1,2,1))]. given #13260 (H,wt=15): 14632 T(x,(y * z) \ 1) = T(x,z \ (y \ 1)). [hyper(5356,a,14223,a),flip(a)]. given #13261 (H,wt=21): 14252 T(x,T(y,z \ u) / (u \ z)) = T(x,((u \ z) \ 1) * y). [hyper(13119,a,14246,a),flip(a)]. given #13262 (H,wt=21): 14254 T(x,(y * K(z \ 1,u)) / z) = T(x,y * T(z \ 1,u)). [para(6188(a,1),14246(a,1,2)),flip(a)]. given #13263 (H,wt=21): 14279 K((x \ 1) \ y,L(z,u \ 1,u)) != w | K(x * y,z) = w. [para(14050(a,2),14275(a,1))]. given #13264 (H,wt=16): 14636 K((x \ 1) \ y,z) != u | K(x * y,z) = u. [para(320(a,1),14279(a,1,2))]. given #13265 (H,wt=16): 14638 K((1 / x) \ y,z) != u | K(x * y,z) = u. [para(5430(a,2),14636(a,1))]. given #13266 (H,wt=21): 14333 K(x,y) * a(x,z,K(y,K(u,w))) = K(x,L(y,z,K(u,w))). [para(7936(a,1),14017(a,1,2,3))]. given #13267 (H,wt=21): 14376 1 / ((x * ((y / z) \ 1)) / x) = (y / z) * K(z / y,x). [para(5702(a,1),14369(a,2,2))]. given #13268 (H,wt=19): 14641 1 / ((x * ((x / y) \ 1)) / x) = x / (x * (y / x)). [hyper(236,a,10452,a(flip),b,14376,a)]. given #13269 (H,wt=19): 14642 (x * ((x / y) \ 1)) / x = (x / (x * (y / x))) \ 1. [para(14641(a,1),65(a,1,1)),flip(a)]. given #13270 (H,wt=21): 14414 K(x,L(y,z \ T(u,z),z)) = K(x,y) * a(z,u,K(y,x)). [para(14412(a,1),13486(a,2,2))]. given #13271 (H,wt=21): 14428 K(x,L(y / z,u,u \ 1)) != w | K(x,y * (z \ 1)) = w. [para(14400(a,1),14276(a,1))]. given #13272 (H,wt=16): 14644 K(x,y / z) != u | K(x,y * (z \ 1)) = u. [para(325(a,1),14428(a,1,2))]. given #13273 (H,wt=21): 14450 (x \ K(y,z)) \ T(x \ 1,u) = K(z,y) * K(x \ 1,u). [para(14101(a,1),14432(a,1,1)),flip(a)]. given #13274 (H,wt=21): 14530 ((x * K(y,z)) \ K(y,z)) \ 1 = T((x \ 1) \ 1,K(y,z)). [para(14513(a,1),11824(a,1,1,1)),flip(a)]. given #13275 (H,wt=21): 14535 T(x,y / (1 / (K(z,u) * w))) = T(x,y / (w \ K(u,z))). [para(14518(a,1),4475(a,2,2,2))]. given #13276 (H,wt=21): 14544 T(x,T((y \ z) \ K(y,u),w)) = T(x,T(z \ T(y,u),w)). [para(14526(a,1),9766(a,1,2,1))]. given #13277 (H,wt=21): 14552 ((1 / x) * K(y,z)) * K(u,x) = K(y,T(z,x)) / T(x,u). [para(14508(a,1),9758(a,1,1))]. given #13278 (H,wt=21): 14556 K(x,L(y,z \ 1,z)) / u != K(x,y) * w | 1 / u = w. [para(14510(a,2),19(a,1))]. given #13279 (H,wt=21): 14561 x * K(y \ (z \ x),y * z) = ((y * z) \ x) * (y * z). [para(14410(a,1),249(a,1,2))]. given #13280 (H,wt=21): 14563 K(x \ (y \ z),x * y) \ 1 = K(x * y,(x * y) \ z). [para(14410(a,1),5093(a,1,1))]. given #13281 (H,wt=19): 14645 K(x * y,(x * y) \ z) = K(x * y,x \ (y \ z)). [hyper(5116,a,14563,a),flip(a)]. given #13282 (H,wt=21): 14613 T(x * K(y,z),x \ K(z,y)) = (K(z,y) * (x \ 1)) \ 1. [para(14611(a,1),5118(a,2,1))]. given #13283 (H,wt=19): 14648 T(x * K(y,z),x \ K(z,y)) = (x \ 1) \ K(y,z). [hyper(236,a,14518,a(flip),b,14613,a)]. given #13284 (H,wt=21): 14623 K(x,y) * (a(x,z,K(u,y)) * w) = L(K(x,y),z,u) * w. [hyper(5285,a,14016,a)]. given #13285 (H,wt=21): 14628 (x * K(y * (z \ u),z)) \ (x * z) = T(z,(z \ y) * u). [para(14626(a,1),7636(a,1,1,2))]. given #13286 (H,wt=15): 14650 T(x,(x \ y) * z) = T(x,y * (x \ z)). [hyper(7639,a,14628,a),flip(a)]. given #13287 (H,wt=21): 14634 (x \ ((y * z) \ x)) * T(x,z \ (y \ 1)) = (y * z) \ x. [para(14632(a,1),4073(a,1,2))]. given #13288 (H,wt=21): 14639 K(x,y) * a(x,z,K(y,K(u,w))) = L(K(x,y),z,K(u,w)). [hyper(236,a,11470,a,b,14333,a)]. given #13289 (H,wt=21): 14646 x * K(y * z,y \ (z \ x)) = (y * z) * (x / (y * z)). [para(14645(a,1),5079(a,1,2))]. given #13290 (H,wt=21): 14649 K(x,y) * (a(x,z,K(u,y)) * w) = K(x,L(y,z,u)) * w. [para(11470(a,1),14623(a,2,1))]. given #13291 (H,wt=21): 14651 T(x,R(x,y,z) * (x \ u)) = T(x,u * (x \ R(x,y,z))). [hyper(13153,a,14650,a)]. given #13292 (H,wt=21): 14653 K(x,y) * (a(y,z,K(x,u)) * w) = K(x,L(y,z,u)) * w. [para(13990(a,1),14649(a,1,2,1))]. given #13293 (H,wt=21): 14654 K(x,y) * (K(x,a(y,z,u)) * w) = K(x,L(y,z,u)) * w. [para(14004(a,1),14649(a,1,2,1))]. given #13294 (H,wt=21): 14656 K(x,a(y,z,u)) * (K(x,y) * w) = K(x,L(y,z,u)) * w. [hyper(17,a,10500,a,b,14654,a)]. given #13295 (H,wt=22): 13991 (K(x,y) * (z * u)) * a(x,z,K(u,y)) = (K(x,y) * z) * u. [para(13987(a,1),91(a,1,2))]. given #13296 (H,wt=22): 13992 ((K(x,y) * z) * u) / a(x,z,K(u,y)) = K(x,y) * (z * u). [para(13987(a,1),135(a,1,2))]. given #13297 (H,wt=22): 14031 a(x \ (y \ z),u,K(y,w)) != v5 | a(w,u,K(x \ z,y)) = v5. [para(13990(a,2),13661(a,1))]. given #13298 (H,wt=22): 14107 K(x * (y \ z),L(u,x \ 1,y)) = K((y * (x \ 1)) \ z,u). [hyper(11642,a,14050,a),flip(a)]. given #13299 (H,wt=22): 14178 ((1 / x) \ y) * K(x * y,z) != u | T((1 / x) \ y,z) = u. [para(14110(a,1),4890(a,1,2))]. given #13300 (H,wt=22): 14204 ((x * y) * z) / (K(u,x * y) * z) = T(x * y,L(u,y,x)). [para(14055(a,1),11548(a,1,2,1))]. given #13301 (H,wt=14): 14660 T(x * y,L(z,y,x)) = T(x * y,z). [hyper(5356,a,14204,a),flip(a)]. given #13302 (H,wt=22): 14293 K((x * K(y,z)) * u,w) != v5 | K((K(z,y) / x) \ u,w) = v5. [para(14144(a,1),14116(a,1,1,1))]. given #13303 (H,wt=22): 14296 (x * K(y,z)) * K(u,w) != v5 | (K(z,y) / x) \ K(u,w) = v5. [para(14144(a,1),14149(a,1,1))]. given #13304 (H,wt=22): 14297 K(x,y / T(z \ 1,z * (x * y))) != u | K(x,z * y) = u. [para(11143(a,2),14234(a,1))]. given #13305 (H,wt=22): 14313 a(x,y,K(z \ (u \ w),u)) != v5 | a(u,y,K(x,z \ w)) = v5. [para(11746(a,2),14287(a,1))]. given #13306 (H,wt=22): 14318 K(x,L(a(y,z,u),w,v5)) != v6 | a(u,z,K(y,L(x,w,v5))) = v6. [para(11533(a,1),14288(a,1))]. given #13307 (H,wt=22): 14321 K(x,(y * K(z,u)) * w) != v5 | K(x,(K(u,z) / y) \ w) = v5. [para(14144(a,1),14303(a,1,2,1))]. given #13308 (H,wt=22): 14382 K(x,T((y \ 1) \ 1,z) * u) != w | K(x,T(y,z) * u) = w. [para(2479(a,1),14298(a,1,2,1))]. given #13309 (H,wt=22): 14393 a(L(x,y,z),u,K(w,v5)) != v6 | a(x,u,K(w,L(v5,y,z))) = v6. [para(13994(a,1),14286(a,1))]. given #13310 (H,wt=22): 14399 K(x,L((y \ 1) \ z,u,w)) != v5 | K(x,L(y * z,u,w)) = v5. [para(14128(a,2),11589(a,1))]. given #13311 (H,wt=20): 14662 K(x,L(y * (z \ u),u,z)) = K(x,(z * (y \ 1)) \ u). [hyper(14399,a,14567,a)]. given #13312 (H,wt=22): 14401 K(x,L(y * (z \ 1),u,w)) != v5 | K(x,L(y / z,u,w)) = v5. [para(14134(a,2),11589(a,1))]. given #13313 (H,wt=22): 14445 (x * (y \ z)) \ (x * (y \ T(z,u))) = L(K(z,u),y \ z,x). [para(14432(a,1),28(a,2,2,2)),flip(a)]. given #13314 (H,wt=22): 14447 R(x / y,y,x \ z) \ T(z,u) = (y * (x \ z)) * K(z,u). [para(489(a,1),14432(a,1,1)),flip(a)]. given #13315 (H,wt=22): 14482 K((x \ T(y,z)) \ y,u) != w | K(K(z,y) * x,T(u,y)) = w. [para(14472(a,1),7820(a,1,1,1))]. given #13316 (H,wt=22): 14523 T(x,(K(y,z) * u) * w) != v5 | T(x,(u \ K(z,y)) \ w) = v5. [para(14511(a,1),14300(a,1,2,1))]. given #13317 (H,wt=22): 14568 K(x \ (y * (z * (y \ x))),u) = K(z,L(T(u,y \ x),x,y)). [hyper(236,a,11691,a(flip),b,14565,a(flip)),flip(a)]. given #13318 (H,wt=22): 14576 K(x,(y * (z \ (y \ u))) \ u) = K(x,L(T(z,y \ u),u,y)). [hyper(11359,a,14567,a),flip(a)]. given #13319 (H,wt=22): 14631 K((x \ y) \ (T(x,z) \ 1),u) != w | K(y \ K(z,x),u) = w. [para(14222(a,2),6499(a,1))]. given #13320 (H,wt=22): 14635 T(x,T(y,z \ u) / (u \ z)) != w | T(x,(u \ z) \ y) = w. [para(14252(a,2),14260(a,1))]. given #13321 (H,wt=22): 14657 ((K(x,y) * z) * u) * a(x,z,K(y,u)) = K(x,y) * (z * u). [hyper(236,a,10224,a(flip),b,13992,a(flip)),flip(a)]. given #13322 (H,wt=22): 14668 ((K(x,y) * z) * u) * a(y,z,K(u,x)) = K(x,y) * (z * u). [hyper(236,a,14009,a,b,14657,a(flip)),flip(a)]. given #13323 (H,wt=20): 14669 (K(x,y) * z) * T(u,a(y,z,x)) = K(x,y) * (z * u). [hyper(13867,a,14668,a)]. given #13324 (H,wt=13): 14670 L(x,y,K(z,u)) = T(x,a(u,y,z)). [hyper(436,a,14669,a)]. given #13325 (H,wt=15): 14671 a(x,y,K(z,u)) * x = L(x,y,K(z,u)). [hyper(236,a,14034,a,b,14670,a),flip(a)]. given #13326 (H,wt=15): 14672 x * a(x,y,K(z,u)) = L(x,y,K(z,u)). [hyper(236,a,14033,a,b,14670,a),flip(a)]. given #13327 (H,wt=13): 14692 L(x,y \ 1,K(y,z)) != u | u = x. [para(14672(a,1),10193(a,1))]. given #13328 (H,wt=15): 14673 x * a(y,z,K(u,x)) = L(x,z,K(y,u)). [hyper(236,a,14032,a,b,14670,a),flip(a)]. given #13329 (H,wt=13): 14696 L(x,y,K(z,y \ 1)) != u | u = x. [para(14673(a,1),10191(a,1))]. given #13330 (H,wt=15): 14674 a(x,y,K(z,u)) * z = L(z,y,K(u,x)). [hyper(236,a,13865,a,b,14670,a),flip(a)]. given #13331 (H,wt=15): 14675 x * a(y,z,K(x,u)) = L(x,z,K(u,y)). [hyper(236,a,13864,a,b,14670,a),flip(a)]. given #13332 (H,wt=15): 14676 L(x,y * z,K(y,u)) = T(x,a(u,z,y)). [hyper(236,a,14607,a(flip),b,14670,a)]. given #13333 (H,wt=10): 14702 T(x,a(y * z,y,z)) = x. [hyper(13037,a,14676,a)]. given #13334 (H,wt=13): 14703 T(x,a(y * z,y,z)) != u | u = x. [para(14676(a,1),13037(a,1))]. given #13335 (H,wt=15): 14677 L(T(x,y),z,K(u,y)) = T(x,L(y,z,u)). [hyper(236,a,14361,a(flip),b,14670,a)]. given #13336 (H,wt=15): 14679 x \ L(x,y,K(z,u)) = a(x,y,K(z,u)). [hyper(72,a,14670,a,b,14033,a)]. given #13337 (H,wt=15): 14680 x \ L(x,y,K(z,u)) = a(z,y,K(u,x)). [hyper(72,a,14670,a,b,14032,a)]. given #13338 (H,wt=15): 14689 T(x,a(y,z,u) \ x) = L(x,z,K(y,u)). [hyper(236,a,14037,a,b,14672,a(flip)),flip(a)]. given #13339 (H,wt=15): 14708 T(x,L(y,z \ 1,z)) != u | T(x,y) = u. [para(14677(a,1),14692(a,1)),flip(b)]. given #13340 (H,wt=16): 14688 L(x,y,K(z,u)) != w | T(x,a(u,y,z)) = w. [para(14671(a,1),14077(a,1))]. given #13341 (H,wt=17): 14693 x * a(x,y,K(z \ 1,u)) = L(x,y,K(u,z)). [para(12007(a,2),14672(a,1,2))]. given #13342 (H,wt=15): 14714 L(x,y,K(z \ 1,u)) = L(x,y,K(u,z)). [hyper(236,a,14672,a(flip),b,14693,a(flip)),flip(a)]. given #13343 (H,wt=15): 14717 L(x,y,K(z,u \ 1)) = L(x,y,K(u,z)). [para(3247(a,1),14714(a,1,3)),flip(a)]. given #13344 (H,wt=17): 14694 L(x,x \ y,K(z,u)) = x * a(x,y,K(z,u)). [para(14412(a,1),14672(a,1,2)),flip(a)]. given #13345 (H,wt=15): 14722 L(x,x \ y,K(z,u)) = L(x,y,K(z,u)). [hyper(236,a,14672,a(flip),b,14694,a)]. given #13346 (H,wt=12): 14723 L(x,x \ T(y,z),K(u,y)) = x. [hyper(236,a,6839,a(flip),b,14722,a)]. given #13347 (H,wt=17): 14697 L(x,y,K(z,u * x)) = x * a(z,y,K(u,x)). [para(11743(a,1),14673(a,1,2)),flip(a)]. given #13348 (H,wt=15): 14728 L(x,y,K(z,u * x)) = L(x,y,K(z,u)). [hyper(236,a,14673,a(flip),b,14697,a)]. given #13349 (H,wt=17): 14699 L(x,y * z,K(u,y)) = x * a(u,z,K(y,x)). [para(14417(a,1),14673(a,1,2)),flip(a)]. given #13350 (H,wt=15): 14731 L(x,y * z,K(u,y)) = L(x,z,K(u,y)). [hyper(236,a,14673,a(flip),b,14699,a)]. given #13351 (H,wt=15): 14732 L(x,y \ z,K(u,y)) = L(x,z,K(u,y)). [para(14(a,1),14731(a,1,2)),flip(a)]. given #13352 (H,wt=15): 14733 L(x,y \ z,K(u,y)) = T(x,a(y,z,u)). [hyper(236,a,14670,a(flip),b,14732,a)]. given #13353 (H,wt=15): 14734 T(x,a(y,y \ z,u)) = T(x,a(y,z,u)). [hyper(14688,a,14733,a)]. given #13354 (H,wt=17): 14704 L(x \ y,z,K(u,x)) = T(y / x,L(x,z,u)). [para(121(a,1),14677(a,1,1))]. given #13355 (H,wt=17): 14705 L(x,y,K(z,u)) * u = u * T(x,L(u,y,z)). [para(14677(a,1),181(a,1,2)),flip(a)]. given #13356 (H,wt=17): 14715 T(x,L(y,z,u \ 1)) = L(T(x,y),z,K(y,u)). [hyper(236,a,14677,a(flip),b,14714,a(flip)),flip(a)]. given #13357 (H,wt=17): 14718 L(x,y,K(z \ u,w)) = L(x,y,K(w,u \ z)). [para(6269(a,1),14714(a,1,3))]. given #13358 (H,wt=17): 14724 L(x,T(y,x),K(z,u)) = L(x,y * x,K(z,u)). [para(32(a,2),14722(a,1,2))]. given #13359 (H,wt=15): 14741 L(x,y * x,K(z,u)) = L(x,y,K(z,u)). [hyper(236,a,10734,a(flip),b,14724,a(flip))]. given #13360 (H,wt=17): 14730 L(x,y,K(z,u \ 1)) = L(x,y,K(z,u \ x)). [para(14126(a,1),14728(a,1,3)),flip(a)]. given #13361 (H,wt=15): 14742 L(x,y,K(z,u \ x)) = L(x,y,K(u,z)). [hyper(236,a,14717,a(flip),b,14730,a(flip))]. given #13362 (H,wt=18): 14678 L(a(x,y,y \ 1),z,K(u,w)) = a(x,y,y \ 1). [hyper(236,a,13885,a(flip),b,14670,a)]. given #13363 (H,wt=18): 14682 a(x,y,z) * L(u,y,K(z,x)) = u * a(x,y,z). [para(14670(a,2),119(a,1,2))]. given #13364 (H,wt=18): 14690 L(x,y,K(z,u)) != x * w | a(x,y,K(z,u)) = w. [para(14672(a,1),19(a,1))]. given #13365 (H,wt=18): 14691 x \ L(x,y,K(z,u)) != w | a(x,y,K(z,u)) = w. [para(14672(a,1),283(a,1,2)),flip(b)]. given #13366 (H,wt=18): 14695 (a(x,y,z) * u) / a(x,y,z) = L(u,y,K(x,z)). [hyper(13878,a,14673,a)]. given #13367 (H,wt=13): 14745 T(L(x,y,K(z,u)),a(z,y,u)) = x. [para(14695(a,1),162(a,1,1))]. given #13368 (H,wt=18): 14709 x * a(x,y,K(z,u)) != w | L(x,y,K(z,u)) = w. [para(14679(a,1),216(a,1,2)),flip(b)]. given #13369 (H,wt=16): 14749 T(x,a(y,z,u)) != w | L(x,z,K(u,y)) = w. [para(14033(a,1),14709(a,1))]. given #13370 (H,wt=18): 14711 x * a(y,z,K(u,x)) != w | L(x,z,K(y,u)) = w. [para(14680(a,1),216(a,1,2)),flip(b)]. given #13371 (H,wt=18): 14712 a(x,y,z) * (u / a(x,y,z)) = L(u,y,K(x,z)). [hyper(236,a,13906,a(flip),b,14689,a(flip)),flip(a)]. given #13372 (H,wt=13): 14757 x / a(y,z,x) = a(y,z,x) \ x. [hyper(72,a,7400,a(flip),b,14712,a),flip(a)]. given #13373 (H,wt=13): 14760 (a(x,y,z) \ z) \ z = a(x,y,z). [para(14757(a,1),65(a,1,1))]. given #13374 (H,wt=16): 14761 x / a(y,z,x) != u | a(y,z,x) \ x = u. [para(14760(a,1),294(a,1,2)),flip(b)]. given #13375 (H,wt=17): 14756 T(x,y) / a(z,u,x) = a(z,u,x) \ T(x,y). [hyper(72,a,7402,a(flip),b,14712,a),flip(a)]. given #13376 (H,wt=18): 14713 a(x,y,z) \ L(u,y,K(x,z)) = u / a(x,y,z). [hyper(72,a,14689,a(flip),b,13906,a(flip))]. given #13377 (H,wt=18): 14744 L(x,y,K(z,u)) * a(z,y,u) = a(z,y,u) * x. [para(14695(a,1),16(a,1,1))]. given #13378 (H,wt=18): 14748 x * a(y,z,K(x,u)) != w | L(x,z,K(u,y)) = w. [para(13990(a,1),14709(a,1,2))]. given #13379 (H,wt=18): 14750 T(x,a(y,z,u) \ x) != w | L(x,z,K(y,u)) = w. [para(14037(a,2),14709(a,1))]. given #13380 (H,wt=18): 14751 a(x,y,K(z,u)) * z != w | L(z,y,K(u,x)) = w. [para(13865(a,2),14749(a,1))]. given #13381 (H,wt=18): 14753 L(x,y * z,K(y,u)) != w | L(x,z,K(y,u)) = w. [para(14676(a,2),14749(a,1))]. given #13382 (H,wt=12): 14763 L(x * y,y,K(x,z)) = x * y. [hyper(14753,a,13986,a)]. given #13383 (H,wt=16): 14764 L(L(x,y,z),y,K(z,u)) = L(x,y,T(z,u)). [hyper(14753,a,6749,a)]. given #13384 (H,wt=16): 14765 L((x * y) * z,z,K(y,x)) = (x * y) * z. [hyper(13813,a,14763,a)]. given #13385 (H,wt=16): 14766 L(L(x,y,K(z,u)),y,z) = L(x,y,T(z,u)). [hyper(236,a,45,a,b,14764,a(flip)),flip(a)]. given #13386 (H,wt=15): 14767 L(x \ 1,x,T(y,z)) = L(x \ 1,x,y). [para(14524(a,1),14766(a,1,1)),flip(a)]. given #13387 (H,wt=18): 14758 L(x * a(y,z,u),z,K(y,u)) = a(y,z,u) * x. [para(15(a,1),14712(a,1,2)),flip(a)]. given #13388 (H,wt=19): 14685 (x * L(y,z,K(u,w))) \ (x * y) = K(a(w,z,u),y). [para(14670(a,2),7576(a,1,1,2))]. given #13389 (H,wt=19): 14686 a(x,y,K(z,u)) * (u \ w) = L(u,y,K(z,x)) \ w. [para(14670(a,2),13877(a,2,1))]. given #13390 (H,wt=15): 14771 L(x,y,K(z,u)) \ x = a(u,y,K(z,x)). [hyper(150,a,14686,a),flip(a)]. given #13391 (H,wt=19): 14687 (x \ y) * a(y,z,K(u,w)) = x \ L(y,z,K(u,w)). [para(14670(a,2),14449(a,2,2))]. given #13392 (H,wt=19): 14698 (x \ y) * a(y,z,K(u,x)) = L(x \ y,z,K(u,x)). [para(13997(a,1),14673(a,1,2))]. given #13393 (H,wt=17): 14774 L(x \ y,z,K(u,x)) = x \ L(y,z,K(u,x)). [hyper(236,a,14687,a(flip),b,14698,a(flip))]. given #13394 (H,wt=19): 14700 a(x,y,K(z,u)) * (z * w) = L(z,y,K(u,x)) * w. [para(14674(a,1),13684(a,1,1)),flip(a)]. given #13395 (H,wt=19): 14701 (x * y) * a(z,u,K(y,w)) = x * L(y,u,K(w,z)). [para(14675(a,1),10232(a,2,2))]. given #13396 (H,wt=19): 14707 L(a(x,y,z),u,K(w,y)) = T(a(x,y,z),L(y,u,w)). [para(13905(a,1),14677(a,1,1))]. given #13397 (H,wt=17): 14777 L(a(x,y,z),u,K(w,y)) != v5 | a(x,y,z) = v5. [para(14707(a,2),13902(a,1))]. given #13398 (H,wt=17): 14778 L(a(x,y,z),u,K(y,w)) != v5 | a(x,y,z) = v5. [para(13517(a,1),14777(a,1))]. given #13399 (H,wt=18): 14779 a(x,y,z) = (x * (T(y,x) * z)) \ ((y * x) * z). [hyper(14778,a,11212,a)]. given #13400 (H,wt=11): 14781 a(x,T(y,x),z) = a(x,y,z). [hyper(236,a,174,a(flip),b,14779,a),flip(a)]. given #13401 (H,wt=13): 14783 a(x / y,y,z) = a(y \ x,y,z). [hyper(236,a,6089,a(flip),b,14781,a(flip)),flip(a)]. given #13402 (H,wt=13): 14785 a(x \ (y * x),x,z) = a(y,x,z). [para(15(a,1),14783(a,1,1)),flip(a)]. given #13403 (H,wt=17): 14784 a(x \ y,x,K(z,u)) = a(u,x,K(y / x,z)). [hyper(14287,a,14783,a),flip(a)]. given #13404 (H,wt=17): 14786 a(x,y,K((y * z) / y,u)) = a(z,y,K(u,x)). [para(13(a,1),14784(a,1,1)),flip(a)]. given #13405 (H,wt=15): 14787 a(x,y,K(z,T(u,y))) = a(z,y,K(u,x)). [para(8067(a,1),14786(a,1,3))]. given #13406 (H,wt=19): 14719 L(x,y,K(z \ (u \ 1),w)) = L(x,y,K(w,u * z)). [para(14043(a,1),14714(a,1,3))]. given #13407 (H,wt=19): 14727 (K(x,y) * T(y,z)) / u = K(x,y) * (T(y,z) / u). [para(14723(a,1),10740(a,1,2))]. given #13408 (H,wt=19): 14740 L(T(x,y),z,K(y,u \ w)) = T(x,L(y,z,w \ u)). [hyper(236,a,14677,a(flip),b,14718,a(flip))]. given #13409 (H,wt=19): 14755 x / a(y,z,L(x,u,w)) = a(y,z,L(x,u,w)) \ x. [hyper(72,a,10421,a(flip),b,14712,a),flip(a)]. given #13410 (H,wt=19): 14770 a(x,y,K(z,u)) * (x \ w) = L(x,y,K(u,z)) \ w. [hyper(14598,a,14686,a)]. given #13411 (H,wt=19): 14772 (x \ y) * a(z,u,K(w,y)) = x \ L(y,u,K(z,w)). [hyper(236,a,14009,a,b,14687,a(flip)),flip(a)]. given #13412 (H,wt=19): 14773 (x \ y) * a(z,u,K(y,w)) = x \ L(y,u,K(w,z)). [hyper(236,a,14009,a(flip),b,14687,a(flip)),flip(a)]. given #13413 (H,wt=19): 14775 x \ L(y * x,z,K(u,x)) = L(T(y,x),z,K(u,x)). [para(32(a,2),14774(a,1,1)),flip(a)]. given #13414 (H,wt=17): 14789 x \ L(y * x,z,K(u,x)) = T(y,L(x,z,u)). [hyper(236,a,14677,a(flip),b,14775,a)]. given #13415 (H,wt=17): 14790 L(x * y,z,K(u,y)) = y * T(x,L(y,z,u)). [para(14789(a,1),14(a,1,2)),flip(a)]. given #13416 (H,wt=17): 14791 L(x * y,z,K(u,y)) = L(x,z,K(u,y)) * y. [hyper(236,a,14705,a,b,14790,a)]. given #13417 (H,wt=19): 14776 a(x,y,K(z,u)) * (L(z,y,K(x,u)) * w) = z * w. [hyper(14030,a,14700,a)]. given #13418 (H,wt=20): 14681 T(x \ (K(y,z) * u),a(y,x,z)) = (K(z,y) * x) \ u. [hyper(236,a,5276,a(flip),b,14670,a(flip))]. given #13419 (H,wt=20): 14706 x * T(y,L(x,z,u)) != w | L(y,z,K(u,x)) * x = w. [para(14677(a,1),369(a,1,2))]. given #13420 (H,wt=20): 14725 (K(x,y) * z) / L(u,z,K(x,y)) = K(x,y) * (z / u). [para(14722(a,1),10740(a,1,2))]. given #13421 (H,wt=19): 14792 (K(x,y) * (x \ y)) / z = K(x,y) * ((x \ y) / z). [para(13507(a,1),14725(a,1,2))]. given #13422 (H,wt=20): 14747 K(x,y) * (z * L(u,z,K(y,x))) = (K(x,y) * z) * u. [para(14745(a,1),14669(a,1,2)),flip(a)]. given #13423 (H,wt=20): 14752 T(x * K(y,x),L(y,z,u)) != w | L(x,z,K(u,y)) = w. [para(14214(a,2),14749(a,1))]. given #13424 (H,wt=20): 14759 K(x / a(y,z,u),a(y,z,u)) = L(x,z,K(y,u)) \ x. [para(14712(a,1),99(a,1,1)),flip(a)]. given #13425 (H,wt=18): 14795 K(x / a(y,z,u),a(y,z,u)) = a(u,z,K(y,x)). [hyper(236,a,14771,a(flip),b,14759,a)]. given #13426 (H,wt=18): 14796 K(a(x,y,z) \ u,a(x,y,z)) = a(z,y,K(x,u)). [hyper(5335,a,14795,a)]. given #13427 (H,wt=15): 14797 K(a(x,y,z) \ u,u) = a(z,y,K(x,u)). [hyper(236,a,13908,a(flip),b,14796,a(flip)),flip(a)]. given #13428 (H,wt=15): 14798 K(a(x,y,z) \ u,u) = a(u,y,K(z,x)). [hyper(236,a,13990,a(flip),b,14797,a)]. given #13429 (H,wt=20): 14762 x / a(y,z,x) != u * w | u \ (a(y,z,x) \ x) = w. [para(14760(a,1),292(a,1,2))]. given #13430 (H,wt=21): 14683 a(x,y,z) * L(u,y,K(z,x)) != w | u * a(x,y,z) = w. [para(14670(a,2),220(a,1,2))]. given #13431 (H,wt=21): 14684 L(x / a(y,z,u),z,K(u,y)) != w | a(y,z,u) \ x = w. [para(14670(a,2),280(a,1))]. given #13432 (H,wt=21): 14721 L(x,y,K(K(z,u) * w,v5)) = L(x,y,K(v5,w \ K(u,z))). [para(6410(a,1),14717(a,1,3)),flip(a)]. given #13433 (H,wt=21): 14782 ((x * y) * z) / a(y,x,z) != u | y * (T(x,y) * z) = u. [para(14779(a,2),294(a,1,2)),flip(b)]. given #13434 (H,wt=21): 14788 x \ L(x * y,z,K(u,w)) = y * a(w,z,K(x * y,u)). [para(13(a,1),14773(a,1,1)),flip(a)]. given #13435 (H,wt=21): 14801 x * (y * a(z,u,K(x * y,w))) = L(x * y,u,K(w,z)). [para(14788(a,1),14(a,1,2))]. given #13436 (H,wt=22): 14710 x * a(x,y,K(z,u)) != w * v5 | w \ L(x,y,K(z,u)) = v5. [para(14679(a,1),367(a,1,2))]. given #13437 (H,wt=20): 14805 T(x,a(y,z,u)) != w * v5 | w \ L(x,z,K(u,y)) = v5. [para(14033(a,1),14710(a,1))]. given #13438 (H,wt=22): 14726 (x * y) / L(z,y * x,K(x,y)) = K(x,y) * ((y * x) / z). [para(14722(a,1),10742(a,1,2))]. given #13439 (H,wt=15): 14807 K(x,y) * ((y * x) / z) = (x * y) / z. [para(11081(a,1),14726(a,1,2)),flip(a)]. given #13440 (H,wt=15): 14808 (x * y) / (z \ (y * x)) = K(y,x) \ z. [hyper(72,a,62,a(flip),b,14807,a),flip(a)]. given #13441 (H,wt=15): 14811 (K(x,y) \ z) \ (y * x) = z \ (x * y). [para(14808(a,1),65(a,1,1))]. given #13442 (H,wt=15): 14812 (K(x,y) * z) \ (x * y) = z \ (y * x). [para(13(a,1),14811(a,1,1)),flip(a)]. given #13443 (H,wt=22): 14754 (x \ y) * a(y,z,K(u,x)) != w | L(x \ y,z,K(u,x)) = w. [para(13997(a,1),14711(a,1,2))]. given #13444 (H,wt=20): 14813 x \ L(y,z,K(u,x)) != w | L(x \ y,z,K(u,x)) = w. [para(14687(a,1),14754(a,1))]. given #13445 (H,wt=22): 14769 (x * L(y,z,K(u,w))) \ (x * y) != v5 | a(w,z,K(u,y)) = v5. [para(14685(a,2),13907(a,1))]. given #13446 (H,wt=22): 14806 T(x,a(y,z,u) \ x) != w * v5 | w \ L(x,z,K(y,u)) = v5. [para(14037(a,2),14710(a,1))]. given #13447 (H,wt=23): 14057 (x \ (y * ((y \ x) * z))) * x = (y * ((y \ x) * z)) * K(z,x). [para(14048(a,1),11546(a,1,2)),flip(a)]. given #13448 (H,wt=20): 14814 (x * ((x \ y) * z)) * K(z,y) = L(z,x \ y,x) * y. [para(104(a,1),14057(a,1,1)),flip(a)]. given #13449 (H,wt=23): 14113 ((x \ 1) \ y) \ K(x * y,y \ (x \ 1)) = 1 / ((x \ 1) \ y). [hyper(72,a,14050,a(flip),b,2294,a)]. given #13450 (H,wt=23): 14119 K((x \ 1) \ K(y,y \ z),u) = K((x / (z / (z / y))) * y,u). [para(6444(a,2),14050(a,2,1))]. given #13451 (H,wt=23): 14141 (K(x / y,(y \ 1) \ 1) / (y \ 1)) \ x = x / (1 / (y \ 1)). [para(14068(a,1),6106(a,1,1,1))]. given #13452 (H,wt=19): 14818 (K(x / y,y) / (y \ 1)) \ x = x / (1 / (y \ 1)). [para(5233(a,1),14141(a,1,1,1))]. given #13453 (H,wt=19): 14819 (K(x \ y,x) / (x \ 1)) \ y = y / (1 / (x \ 1)). [para(4997(a,1),14818(a,1,1,1))]. given #13454 (H,wt=23): 14191 T(x,R((y * K(z,u)) \ 1,w,v5)) = T(x,R(K(u,z) / y,w,v5)). [para(14144(a,1),3515(a,1,2,1,1))]. given #13455 (H,wt=23): 14200 K(x * K(y,z),x \ K(z,y)) = (x * K(y,z)) * (K(z,y) / x). [para(14189(a,1),6667(a,1,2)),flip(a)]. given #13456 (H,wt=23): 14241 K(x,T(y,z * u)) * ((z \ 1) \ u) = ((z \ 1) \ u) * K(x,y). [para(14235(a,1),8047(a,1,1,2))]. given #13457 (H,wt=23): 14243 T(x,((1 / y) * a(z,u,z)) * w) = T(x,y \ (a(z,u,z) * w)). [para(12942(a,2),14239(a,1,2))]. given #13458 (H,wt=21): 14822 T(x,y \ (a(z,u,z) * w)) = T(x,(a(z,u,z) / y) * w). [para(12839(a,1),14243(a,1,2,1)),flip(a)]. given #13459 (H,wt=21): 14823 T(x,(a(y,z,y) / u) * w) = T(x,a(y,z,y) * (u \ w)). [para(12940(a,1),14822(a,1,2)),flip(a)]. given #13460 (H,wt=19): 14824 T(x,(a(y,z,y) / u) * w) != v5 | T(x,u \ w) = v5. [para(14823(a,2),13058(a,1))]. given #13461 (H,wt=23): 14255 K(x,y) * T(x * K(y,x),z / u) = T(x,T(z * (u \ 1),y)). [para(14246(a,1),8639(a,1,2))]. given #13462 (H,wt=17): 14826 T(x,T(y * (z \ 1),u)) = T(x,T(y / z,u)). [hyper(8641,a,14255,a),flip(a)]. given #13463 (H,wt=20): 14827 T(x,T(y * (z \ 1),u)) != w | T(x,T(y / z,u)) = w. [para(14255(a,1),8641(a,1))]. given #13464 (H,wt=23): 14294 K(a(x,y,z) \ u,u) != w | a(a(x,y,z) \ u,y,K(z,x)) = w. [para(13908(a,1),14143(a,1))]. given #13465 (H,wt=18): 14828 a(a(x,y,z) \ u,y,K(z,x)) = a(u,y,K(z,x)). [hyper(14294,a,14798,a)]. given #13466 (H,wt=20): 14830 a(a(x,y,z) \ u,y,K(z,x)) = a(x,y,K(z,u \ 1)). [hyper(236,a,14001,a,b,14828,a)]. given #13467 (H,wt=21): 14829 a(x,y,K(z,u)) != w | a(a(u,y,z) \ x,y,K(z,u)) = w. [para(14798(a,1),14294(a,1))]. given #13468 (H,wt=23): 14332 K(x,L(y,z,(u \ w) / w)) = K(x,y) * a(x,z,K(u \ 1,y)). [para(5706(a,1),14017(a,1,2,3)),flip(a)]. given #13469 (H,wt=22): 14831 K(x,L(y,z,(u \ w) / w)) != v5 | K(x,L(y,z,u \ 1)) = v5. [para(14332(a,2),14022(a,1))]. given #13470 (H,wt=22): 14832 K(x,L(y,z,u / (w * u))) != v5 | K(x,L(y,z,w \ 1)) = v5. [para(13(a,1),14831(a,1,2,3,1))]. given #13471 (H,wt=22): 14833 K(x,L(y,z,(u * w) \ u)) != v5 | K(x,L(y,z,w \ 1)) = v5. [para(13558(a,1),14832(a,1,2))]. given #13472 (H,wt=19): 14834 K(x,L(y,z,(u * w) \ u)) = K(x,L(y,z,w \ 1)). [hyper(14833,a,xx),flip(a)]. given #13473 (H,wt=19): 14836 K(x,L(y,z,(u \ w) \ 1)) = K(x,L(y,z,w \ u)). [para(14(a,1),14834(a,1,2,3,1)),flip(a)]. given #13474 (H,wt=14): 14837 K(x,L(y,z \ u,u \ z)) = K(x,y). [hyper(14276,a,14836,a),flip(a)]. given #13475 (H,wt=23): 14344 a(x,y,K(z,L(u,w,v5))) * K(x,u) = K(x,L(u,y,L(z,w,v5))). [para(11533(a,1),14020(a,1,1,3))]. given #13476 (H,wt=23): 14345 a(x,y,a(z,u,K(w,v5))) * K(x,v5) = K(x,L(v5,y,a(z,u,w))). [para(13871(a,2),14020(a,1,1,3))]. given #13477 (H,wt=23): 14346 a(x,y,K(z * u,w)) * K(x,w) = K(x,L(w,y,z / (u \ 1))). [para(14136(a,1),14020(a,1,1,3))]. given #13478 (H,wt=22): 14839 K(x,L(y,z,u / (w \ 1))) != v5 | K(x,L(y,z,u * w)) = v5. [para(14346(a,1),14025(a,1))]. given #13479 (H,wt=23): 14349 K(x,L(y,z,u)) * (T(x,y) \ w) = a(x,z,K(u,y)) * (x \ w). [hyper(236,a,11625,a,b,14026,a(flip)),flip(a)]. given #13480 (H,wt=21): 14840 K(x,L(y,z,u)) * (T(x,y) \ w) = L(x,z,K(y,u)) \ w. [hyper(236,a,14770,a(flip),b,14349,a)]. given #13481 (H,wt=23): 14357 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = K(x,y) * K(x,z). [hyper(236,a,9711,a,b,14148,a(flip)),flip(a)]. given #13482 (H,wt=17): 14843 K(K(x,y) * K(x,z),K(z,x) * K(y,x)) = 1. [hyper(36,a,14357,a)]. given #13483 (H,wt=19): 14844 K(K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1) = 1. [para(14148(a,2),14843(a,1,2))]. given #13484 (H,wt=19): 14845 K((K(x,y) * K(x,z)) \ 1,K(x,y) * K(x,z)) = 1. [hyper(73,a,14844,a,b,5101,a),flip(a)]. given #13485 (H,wt=23): 14365 (L(x \ 1,y,z) \ 1) * (x \ 1) = L(x \ 1,y,z) \ (1 / x). [hyper(236,a,4693,a(flip),b,14228,a(flip)),flip(a)]. given #13486 (H,wt=23): 14367 K(x,(T(y \ z,u) / u) * K(y,y \ z)) = K(x,u \ (z / y)). [para(14228(a,1),13152(a,2,2))]. given #13487 (H,wt=23): 14371 K(x,K(y,L(z,u,w))) * K(x,K(z,y)) = a(z,u,K(x,K(w,y))). [hyper(11644,a,14329,a)]. given #13488 (H,wt=23): 14372 a(x,y,K(z,K(u,w))) * K(x,K(u,w)) = K(u,K(w,L(x,y,z))). [hyper(236,a,11555,a(flip),b,14342,a)]. given #13489 (H,wt=23): 14375 K(x,T((y \ z) * x,z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [hyper(236,a,7114,a(flip),b,14353,a(flip))]. given #13490 (H,wt=21): 14852 K(x,T(((y \ z) \ 1) \ x,y)) = K(x,T((y \ z) * x,z)). [hyper(236,a,9792,a(flip),b,14375,a),flip(a)]. given #13491 (H,wt=19): 14853 K(x,T((y \ z) * x,z)) = K(x,T((y \ z) * x,y)). [hyper(236,a,14052,a(flip),b,14852,a(flip))]. given #13492 (H,wt=23): 14384 T(x,R(y \ 1,y,z) \ u) != w | T(x,(z / (y * z)) \ u) = w. [para(2148(a,2),14301(a,1,2,1))]. given #13493 (H,wt=23): 14398 (x \ (y * z)) * K(x * (y \ (x \ (y * z))),y) = x \ (z * y). [hyper(18,a,4788,a(flip),b,14122,a)]. given #13494 (H,wt=19): 14854 K(x \ ((y \ 1) * z),y) = K(x \ (z * (y \ 1)),y). [para(14398(a,1),9653(a,1,1)),flip(a)]. given #13495 (H,wt=19): 14855 (x \ (y * z)) * K(y \ (y * z),y) = x \ (z * y). [para(10748(a,1),14398(a,1,2))]. given #13496 (H,wt=15): 14857 (x \ (y * z)) * K(z,y) = x \ (z * y). [para(13(a,1),14855(a,1,2,1))]. given #13497 (H,wt=18): 14862 K(x,y \ (x * z)) != u | K(x,y \ (z * x)) = u. [para(14857(a,1),8115(a,1,2))]. given #13498 (H,wt=19): 14863 T(x \ (y * z),K(y,z)) = K(y,z) * (x \ (z * y)). [para(14857(a,1),7984(a,1,2)),flip(a)]. given #13499 (H,wt=20): 14859 R(x,y,z) \ (z * (x * y)) = (y * z) * K(z,x * y). [para(143(a,1),14857(a,1,1)),flip(a)]. given #13500 (H,wt=18): 14866 R(x,y,z) \ (z * (x * y)) = y * T(z,x * y). [hyper(236,a,6201,a(flip),b,14859,a)]. given #13501 (H,wt=18): 14867 R(x,y,z) = (z * (x * y)) / (y * T(z,x * y)). [para(14866(a,1),62(a,1,2)),flip(a)]. given #13502 (H,wt=22): 14864 K(x,(y * (x \ z)) \ u) != w | K(x,(y * z) \ (u * x)) = w. [para(10009(a,2),14862(a,1))]. given #13503 (H,wt=23): 14517 K(x,y) * K(z \ 1,z * K(x,y)) = (z \ 1) * (K(x,y) * z). [para(14503(a,1),7103(a,1,2)),flip(a)]. given #13504 (H,wt=23): 14590 (1 / K(x,x \ K(y,z))) * K(z,y) = 1 / (x * (K(y,z) / x)). [para(5079(a,1),14589(a,1,2)),flip(a)]. given #13505 (H,wt=21): 14868 K(x \ K(y,z),x) * K(z,y) = 1 / (x * (K(y,z) / x)). [para(5102(a,1),14590(a,1,1))]. given #13506 (H,wt=23): 14640 K(x,y) * a(x,z,K(y,K(u,w))) = L(K(x,y),y * z,K(u,w)). [hyper(236,a,8970,a,b,14333,a)]. given #13507 (H,wt=23): 14643 x / (x * (((y / x) \ 1) \ 1)) = ((x * ((x / y) \ 1)) / x) \ 1. [para(14642(a,2),3058(a,2,1))]. given #13508 (H,wt=23): 14659 ((x * y) / ((1 / x) \ y)) \ T(x * y,z) = T((1 / x) \ y,z). [hyper(14178,a,14441,a(flip)),flip(a)]. given #13509 (H,wt=23): 14661 T(x * (x \ y),(x \ y) \ z) = T(x * (x \ y),y \ (x * z)). [para(450(a,1),14660(a,1,2)),flip(a)]. given #13510 (H,wt=19): 14871 T(x * (x \ y),(x \ y) \ z) = T(y,y \ (x * z)). [para(14(a,1),14661(a,2,1))]. given #13511 (H,wt=15): 14872 T(x,(y \ x) \ z) = T(x,x \ (y * z)). [para(14(a,1),14871(a,1,1))]. given #13512 (H,wt=15): 14873 T(x,(x / y) \ z) = T(x,x \ (y * z)). [hyper(236,a,10148,a,b,14872,a(flip)),flip(a)]. given #13513 (H,wt=15): 14874 T(x,x \ ((y \ x) * z)) = T(x,y \ z). [para(62(a,1),14873(a,1,2,1)),flip(a)]. given #13514 (H,wt=19): 14875 L(x,y,T(z,(u \ z) * w)) = L(x,y,T(z,u \ w)). [para(14874(a,1),13498(a,1,3)),flip(a)]. given #13515 (H,wt=23): 14716 L(x,y,K(z \ (u * (w \ 1)),w)) = L(x,y,K(w \ 1,z \ u)). [hyper(236,a,13503,a(flip),b,14714,a(flip))]. given #13516 (H,wt=21): 14876 L(x,y,K(z \ (u * (w \ 1)),w)) = L(x,y,K(z \ u,w)). [hyper(236,a,14714,a(flip),b,14716,a)]. given #13517 (H,wt=23): 14729 L(L(x,y,z),z * y,K(z,u)) = L(x,y,T(z,u * L(x,y,z))). [hyper(6750,a,14728,a),flip(a)]. given #13518 (H,wt=18): 14877 L(x,y,T(z,u * L(x,y,z))) = L(x,y,T(z,u)). [hyper(6750,a,14729,a),flip(a)]. given #13519 (H,wt=23): 14737 (x / y) \ (x / L(T(y,z),u,K(z,w))) = K(L(z,u,w \ 1),y). [para(14715(a,1),7587(a,1,2,2))]. given #13520 (H,wt=23): 14738 (x / L(T(y,z),u,K(z,w))) * y = x * K(L(z,u,w \ 1),y). [para(14715(a,1),7612(a,1,1,2))]. given #13521 (H,wt=23): 14739 (x \ y) \ (x \ L(T(y,z),u,K(z,w))) = K(y,L(z,u,w \ 1)). [para(14715(a,1),14436(a,1,2,2))]. given #13522 (H,wt=23): 14743 L(L(x,y,z),z * y,K(u,z)) = L(x,y,T(z,u \ L(x,y,z))). [hyper(6750,a,14742,a),flip(a)]. given #13523 (H,wt=20): 14882 L(x,y,T(z,u \ L(x,y,z))) = L(x,y,z * K(u,z)). [hyper(236,a,6929,a(flip),b,14743,a(flip))]. given #13524 (H,wt=23): 14793 K(x / y,x) * (((x / y) \ x) / z) = (K(x / y,x) * y) / z. [para(65(a,1),14792(a,1,1,2)),flip(a)]. given #13525 (H,wt=23): 14803 x * (y * a(z,u,K(y * x,w))) = L(x * y,u,K(T(w,y),z)). [para(13395(a,1),14801(a,1,2,2,3))]. given #13526 (H,wt=23): 14838 K(x,((y \ z) * (z \ y)) \ u) = K(x,(z \ y) \ ((y \ z) \ u)). [para(227(a,1),14837(a,1,2))]. given #13527 (H,wt=23): 14849 K(x,K(y,L(z,u,w))) * K(x,K(y,z)) = a(z,u,K(x,K(w,y))). [para(7937(a,1),14371(a,1,2))]. given #13528 (H,wt=21): 14889 K(K(x,L(y,z,u)) * K(y,x),w) = a(y,z,K(w,K(u,x))). [hyper(236,a,12459,a(flip),b,14849,a(flip)),flip(a)]. given #13529 (H,wt=19): 14890 K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(x,u))). [para(10201(a,1),14889(a,1,1))]. given #13530 (H,wt=19): 14891 K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(u,x))). [para(7937(a,1),14890(a,2,3))]. given #13531 (H,wt=23): 14879 (x / y) \ (x / L(T(y,z),u,K(z,w))) = K(z,L(y,u,w \ 1)). [hyper(236,a,11533,a(flip),b,14737,a)]. given #13532 (H,wt=23): 14883 K(x / y,x) * (((x / y) \ x) / z) = (y * K(y \ x,x)) / z. [para(7336(a,1),14793(a,2,1))]. given #13533 (H,wt=23): 14884 x * (y * a(z,u,K(y * x,w))) = L(x * y,u,K(w,T(z,y))). [para(7260(a,1),14803(a,2,3))]. given #13534 (H,wt=23): 14892 K(x \ y,y) * (((y / x) \ y) / z) = (x * K(x \ y,y)) / z. [para(6289(a,1),14883(a,1,1))]. given #13535 (H,wt=19): 14893 (x * K(x \ y,y)) / z = K(x \ y,y) * (x / z). [para(65(a,1),14892(a,1,2,1)),flip(a)]. given #13536 (H,wt=24): 14184 K(x,((y * z) * (z \ (u \ 1))) * u) = K(x,R(y,z,z \ (u \ 1))). [para(112(a,1),14131(a,1,2)),flip(a)]. given #13537 (H,wt=24): 14218 a(x \ 1,x,y) * z != u * w | u \ (z * a(x \ 1,x,y)) = w. [para(14215(a,1),549(a,1,2))]. given #13538 (H,wt=24): 14219 L(x,y,z) * a(L(x,y,z),u,K(w,v5)) = L(T(x,a(v5,u,w)),y,z). [hyper(236,a,40,a,b,14033,a)]. given #13539 (H,wt=24): 14230 K(x,((y * z) \ u) \ (z \ (y \ u))) = a(x,z,K(z \ (y \ u),y)). [para(227(a,1),14074(a,1,2,1))]. given #13540 (H,wt=22): 14895 K(x,((y * z) \ u) \ (z \ (y \ u))) = a(y,z,K(x,z \ u)). [hyper(236,a,14012,a(flip),b,14230,a)]. given #13541 (H,wt=24): 14291 K(x * ((y \ z) \ 1),y / z) != u | K((y \ z) \ x,y / z) = u. [para(8625(a,1),14116(a,1))]. given #13542 (H,wt=24): 14305 K(x,y * (z \ K(u \ z,u))) != w | K(x,y / (u * (z / u))) = w. [para(6553(a,1),14282(a,1,2,2))]. given #13543 (H,wt=24): 14378 K((((x * y) \ x) \ 1) * z,y) != u | K(z / ((x * y) \ x),y) = u. [para(9681(a,2),14377(a,1))]. given #13544 (H,wt=24): 14390 K(x,R(y \ 1,z,u) \ w) != v5 | K(x,R(1 / y,z,u) \ w) = v5. [para(3511(a,1),14320(a,1,2,1))]. given #13545 (H,wt=24): 14423 a(x,y,K(z,L(u \ 1,w,v5))) != v6 | a(u,y,K(z,L(x,w,v5))) = v6. [para(14392(a,1),14285(a,1))]. given #13546 (H,wt=24): 14542 L(T(x,y),z,u) * (K(y,L(x,z,u)) / w) = L(x,z,u) * (1 / w). [para(40(a,2),14505(a,1,1))]. given #13547 (H,wt=24): 14545 K(x,y * ((z \ u) \ K(z,w))) != v5 | K(x,y / (T(z,w) \ u)) = v5. [para(14526(a,1),14282(a,1,2,2))]. given #13548 (H,wt=24): 14546 K(x * ((y \ z) \ K(y,u)),w) != v5 | K(x / (T(y,u) \ z),w) = v5. [para(14526(a,1),14377(a,1,1,2))]. given #13549 (H,wt=24): 14591 K(x,y) * ((1 / z) * K(u,w)) != v5 | K(x,y) / (K(w,u) * z) = v5. [para(14589(a,1),14512(a,1,2))]. given #13550 (H,wt=24): 14616 K(x / (K(y,z) * (u \ 1)),w) != v5 | K(x * (u * K(z,y)),w) = v5. [para(14611(a,1),14140(a,1,1,2))]. given #13551 (H,wt=21): 14898 K(x * ((y \ 1) \ K(z,u)),w) = K(x * (y * K(z,u)),w). [hyper(14616,a,14521,a),flip(a)]. given #13552 (H,wt=24): 14617 K(x,(K(y,z) * (u \ 1)) \ w) != v5 | K(x,(u * K(z,y)) * w) = v5. [para(14611(a,1),14234(a,1,2,1))]. given #13553 (H,wt=24): 14620 (x * (K(y,z) / x)) \ 1 != u | K(x \ K(y,z),x) * K(z,y) = u. [para(5079(a,1),14537(a,1,1))]. given #13554 (H,wt=24): 14621 K(x,y) * (L(K(y,x),z,u) * w) != v5 | a(y,z,K(u,x)) * w = v5. [para(10185(a,2),14598(a,1))]. given #13555 (H,wt=24): 14633 T(x,a(y * z,(y * z) \ y,z)) = T(x,z \ (((y * z) \ y) \ 1)). [hyper(236,a,6380,a,b,14632,a(flip)),flip(a)]. given #13556 (H,wt=13): 14902 T(x,x \ (((y * x) \ y) \ 1)) = x. [hyper(236,a,13881,a(flip),b,14633,a(flip))]. given #13557 (H,wt=19): 14903 (1 / ((x * y) \ x)) / y = y \ (1 / ((x * y) \ x)). [para(14902(a,1),4599(a,1,2))]. given #13558 (H,wt=20): 14901 T(x,y \ (((z * y) \ z) \ 1)) = T(x,a(z * y,z,y)). [hyper(236,a,14734,a(flip),b,14633,a(flip))]. given #13559 (H,wt=13): 14905 T(x,y \ (((z * y) \ z) \ 1)) = x. [hyper(236,a,14702,a(flip),b,14901,a)]. given #13560 (H,wt=13): 14908 T(x,(y \ z) \ ((z \ y) \ 1)) = x. [para(14(a,1),14905(a,1,2,2,1,1))]. given #13561 (H,wt=23): 14906 (x \ (((y * x) \ y) \ 1)) * z = z * (x \ (((y * x) \ y) \ 1)). [hyper(2261,a,14905,a),flip(a)]. given #13562 (H,wt=23): 14909 (x \ (1 / ((y * x) \ y))) * z = z * (x \ (1 / ((y * x) \ y))). [para(14905(a,1),4598(a,1,2))]. given #13563 (H,wt=23): 14910 (x \ (((y \ z) * (z \ y)) \ x)) * x = ((y \ z) * (z \ y)) \ x. [para(14908(a,1),14634(a,1,2))]. given #13564 (H,wt=23): 14911 x / (y \ (1 / ((z * y) \ z))) = (y \ (1 / ((z * y) \ z))) \ x. [hyper(529,a,14909,a)]. given #13565 (H,wt=24): 14647 x * K(y * z,y \ (z \ x)) != u | (y * z) * (x / (y * z)) = u. [para(14645(a,1),5323(a,1,2))]. given #13566 (H,wt=24): 14816 L(x,y \ (y * z),y) * (y * z) = (y * (z * x)) * K(x,y * z). [para(13(a,1),14814(a,1,1,2,1)),flip(a)]. given #13567 (H,wt=20): 14913 (x * (y * z)) * K(z,x * y) = L(z,y,x) * (x * y). [para(13(a,1),14816(a,1,1,2)),flip(a)]. given #13568 (H,wt=16): 14914 L(x,y,z) = (z * (y * x)) / T(z * y,x). [hyper(7652,a,14913,a),flip(a)]. given #13569 (H,wt=24): 14835 K(x,L(y,z * u,(z * u) \ z)) != w | K(x,L(y,z,u \ 1)) = w. [para(14572(a,1),14833(a,1))]. given #13570 (H,wt=22): 14916 K(x,L(y,z * u,u \ 1)) != w | K(x,L(y,z,u \ 1)) = w. [para(14834(a,1),14835(a,1))]. given #13571 (H,wt=24): 14846 x * K(K(y,z) * K(y,u),(K(y,z) * K(y,u)) \ 1) != w | w = x. [para(14844(a,2),83(a,1,2))]. given #13572 (H,wt=24): 14856 K(((x \ 1) \ y) \ z,L(x,y,x \ 1)) = K(y \ (z * (x \ 1)),x). [hyper(236,a,14569,a,b,14854,a(flip)),flip(a)]. given #13573 (H,wt=19): 14920 K(((x \ 1) \ y) \ z,x) = K(y \ (z * (x \ 1)),x). [hyper(236,a,9625,a(flip),b,14856,a(flip)),flip(a)]. given #13574 (H,wt=24): 14878 L(x,y,T(z,((u \ w) \ 1) * L(x,y,z))) = L(x,y,T(z,w \ u)). [para(6361(a,1),14877(a,2,3))]. given #13575 (H,wt=22): 14922 L(x,y,T(z,(u \ w) \ L(x,y,z))) = L(x,y,T(z,w \ u)). [para(14238(a,1),14878(a,1,3))]. given #13576 (H,wt=19): 14923 L(x,y,z * K(u \ w,z)) = L(x,y,T(z,w \ u)). [hyper(236,a,14882,a(flip),b,14922,a(flip)),flip(a)]. given #13577 (H,wt=17): 14924 L(x,y,T(z,u \ z)) = L(x,y,z * K(u,z)). [hyper(236,a,13525,a(flip),b,14923,a(flip))]. given #13578 (H,wt=24): 14894 L(x,y,z) * a(x,u,K(w,L(v5,y,z))) = L(T(x,a(v5,u,w)),y,z). [para(14392(a,1),14219(a,1,2))]. given #13579 (H,wt=24): 14899 K(x * ((y \ 1) \ K(z,u)),w) != v5 | K(x * (y * K(z,u)),w) = v5. [para(14521(a,1),14616(a,1))]. given #13580 (H,wt=24): 14925 L(x,y,z) * a(x,u,K(w,L(v5,y,z))) = L(L(x,u,K(w,v5)),y,z). [para(14670(a,2),14894(a,2,1))]. given #13581 (H,wt=25): 14076 x * a(a(y,z,u) \ x,z,K(u,y)) = (a(y,z,u) \ x) * a(y,z,u). [para(14004(a,2),249(a,1,2))]. given #13582 (H,wt=22): 14926 (a(x,y,z) \ u) * a(x,y,z) = u * a(x,y,K(z,u \ 1)). [para(14830(a,1),14076(a,1,2)),flip(a)]. given #13583 (H,wt=20): 14927 T(x,a(y,z,u) \ x) = (a(u,z,y) \ x) * a(u,z,y). [hyper(236,a,14352,a(flip),b,14926,a),flip(a)]. given #13584 (H,wt=18): 14928 (a(x,y,z) \ u) * a(x,y,z) = L(u,y,K(z,x)). [hyper(14750,a,14927,a),flip(a)]. given #13585 (H,wt=19): 14929 x / a(y,z,R(x,u,w)) = a(y,z,R(x,u,w)) \ x. [hyper(74,a,7218,a(flip),b,14928,a)]. given #13586 (H,wt=25): 14091 T(x * K(y,z),x \ 1) = (((x * K(y,z)) \ K(y,z)) \ 1) * K(y,z). [hyper(236,a,4083,a,b,14046,a),flip(a)]. given #13587 (H,wt=23): 14930 T(x * K(y,z),x \ 1) = T((x \ 1) \ 1,K(y,z)) * K(y,z). [para(14530(a,1),14091(a,2,1))]. given #13588 (H,wt=19): 14931 T(x * K(y,z),x \ 1) = K(y,z) * ((x \ 1) \ 1). [hyper(236,a,7994,a(flip),b,14930,a)]. given #13589 (H,wt=17): 14932 T(x * K(y,z),x \ 1) = (x \ K(z,y)) \ 1. [hyper(236,a,14615,a(flip),b,14931,a)]. given #13590 (H,wt=21): 14933 ((x \ 1) \ K(y,z)) * (x \ 1) = x \ ((x \ K(z,y)) \ 1). [hyper(72,a,14932,a(flip),b,876,a),flip(a)]. given #13591 (H,wt=19): 14934 x \ ((x \ K(y,z)) \ 1) = (x * K(z,y)) * (1 / x). [hyper(236,a,14159,a(flip),b,14933,a(flip))]. given #13592 (H,wt=21): 14935 K(x,x \ K(y,z)) * K(z,y) = (x * K(z,y)) * (1 / x). [hyper(236,a,14146,a,b,14934,a(flip)),flip(a)]. given #13593 (H,wt=25): 14162 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * (u * K(u \ 1,z))). [para(14090(a,1),5925(a,2,2,2))]. given #13594 (H,wt=25): 14192 K(x,(y / (1 / (K(z,u) / w))) * v5) = K(x,(y / (w * K(u,z))) * v5). [para(14144(a,1),5487(a,2,2,1,2))]. given #13595 (H,wt=25): 14201 x * T(x \ ((K(y,z) / u) \ x),w) = (1 / T(u * K(z,y),w)) \ x. [para(14189(a,1),11828(a,1,2,1,2,1))]. given #13596 (H,wt=25): 14224 K((x \ y) \ ((z / (z / x)) \ 1),u) = K((K(x \ z,x) * y) \ 1,u). [para(5526(a,1),14043(a,1,1,1)),flip(a)]. given #13597 (H,wt=25): 14259 K(x \ (K(y,y \ z) * (y \ 1)),u) = K((x \ 1) / (z / (z / y)),u). [para(5509(a,1),14175(a,2,1,2)),flip(a)]. given #13598 (H,wt=25): 14263 K((a(x,y,y \ 1) * (z \ 1)) \ 1,u) = K(a(x,y,y \ 1) \ z,u). [para(13894(a,2),14221(a,1,1,1))]. given #13599 (H,wt=25): 14336 K(x,y) * a(y,z,K(x,x \ (u \ w))) = K(x,L(y,z,(u * x) \ w)). [para(10643(a,1),14018(a,1,2,3))]. given #13600 (H,wt=21): 14938 K(x,L(y,z,(u * x) \ w)) = K(x,L(y,z,x \ (u \ w))). [hyper(14023,a,14336,a),flip(a)]. given #13601 (H,wt=24): 14939 K(x,L(y,z,(u * x) \ w)) != v5 | K(x,L(y,z,x \ (u \ w))) = v5. [para(14336(a,1),14023(a,1))]. given #13602 (H,wt=24): 14940 x * K(y,L(z,u,y \ (u \ x))) = (x / (u * y)) * (u * T(y,z)). [para(14938(a,1),11704(a,1,2))]. given #13603 (H,wt=22): 14941 (x / (y * z)) * (y * T(z,u)) = x * K(z,L(u,y,y \ x)). [para(14586(a,1),14940(a,1,2)),flip(a)]. given #13604 (H,wt=21): 14942 (x / (y * z)) * (y * T(z,u)) = (x / y) * (y * K(z,u)). [hyper(236,a,11505,a(flip),b,14941,a)]. given #13605 (H,wt=25): 14347 a(x,y,K(z \ (u \ 1),w)) * K(x,w) = K(x,L(w,y,(u * z) \ 1)). [para(14043(a,1),14020(a,1,1,3))]. given #13606 (H,wt=24): 14944 K(x,L(y,z,(u * w) \ 1)) != v5 | K(x,L(y,z,w \ (u \ 1))) = v5. [para(14347(a,1),14025(a,1))]. given #13607 (H,wt=25): 14354 K(x \ 1,T(x * y,z)) * T(y,z) = T((x \ 1) * (y / (x \ 1)),z). [para(14052(a,1),11202(a,1,1))]. given #13608 (H,wt=25): 14448 (x * L(x \ 1,y,z)) \ T(x,u) = (L(1 / x,y,z) \ 1) * K(x,u). [para(2642(a,1),14432(a,1,1)),flip(a)]. given #13609 (H,wt=23): 14945 (x * L(x \ 1,y,z)) \ T(x,u) = L(1 / x,y,z) \ K(x,u). [hyper(236,a,14046,a(flip),b,14448,a)]. given #13610 (H,wt=25): 14456 T(x,y) * K(z * K(x,y),x / z) = ((x / z) \ T(x,y)) * (x / z). [para(14441(a,1),249(a,1,2,1))]. given #13611 (H,wt=25): 14459 L(x,y,T(z * K(u,w),(u / z) \ 1)) = L(x,y,T(u,w) / (u / z)). [para(14441(a,1),13541(a,1,3,1))]. given #13612 (H,wt=23): 14947 L(x,y,T(z * K(u,w),z / u)) = L(x,y,T(u,w) / (u / z)). [para(4187(a,1),14459(a,1,3))]. given #13613 (H,wt=25): 14477 (x * K(y,z)) \ (x * (T(y,z) / u)) != w | L(y / u,K(y,z),x) = w. [para(14465(a,1),447(a,1,2,2))]. given #13614 (H,wt=25): 14485 ((x * T(y,z)) \ T(y,z)) * K(x * T(y,z),x \ 1) = y / (x * y). [hyper(236,a,5803,a,b,14461,a(flip)),flip(a)]. given #13615 (H,wt=25): 14490 ((x / y) * z) \ ((y \ x) * K(y,y \ x)) = ((y \ x) * z) \ (y \ x). [para(5546(a,1),14487(a,1,1)),flip(a)]. given #13616 (H,wt=19): 14948 ((x / y) * z) \ (x / y) = ((y \ x) * z) \ (y \ x). [para(4903(a,1),14490(a,1,2))]. given #13617 (H,wt=25): 14507 K((x * (K(y,z) * (u \ 1))) \ w,v5) = K((x * (K(y,z) / u)) \ w,v5). [para(14500(a,1),5743(a,1,1,1,2)),flip(a)]. given #13618 (H,wt=25): 14559 a(x,y,a(z,u,K(w,v5))) * K(x,v5) = K(x,L(v5,y,1 / a(w,u,z))). [para(13995(a,2),14404(a,1,1,3))]. given #13619 (H,wt=21): 14949 K(x,L(y,z,1 / a(u,w,v5))) = K(x,L(y,z,a(v5,w,u))). [hyper(236,a,14345,a(flip),b,14559,a(flip))]. given #13620 (H,wt=21): 14950 K(x,L(y,z,a(u,w,v5) \ 1)) = K(x,L(y,z,a(v5,w,u))). [para(3601(a,1),14949(a,1,2))]. given #13621 (H,wt=25): 14588 x * (T(y / x,(y / x) \ y) / z) = (y / (y / x)) * ((y / x) / z). [hyper(582,a,14479,a)]. given #13622 (H,wt=25): 14629 K((x \ (y * x)) * z,x) * (((x * y) * z) / x) = x \ ((x * y) * z). [para(14627(a,1),11136(a,1,1))]. given #13623 (H,wt=23): 14951 K(T(x,y) * z,y) * (((y * x) * z) / y) = y \ ((y * x) * z). [para(32(a,2),14629(a,1,1,1,1))]. given #13624 (H,wt=21): 14952 K(x * y,z) * (((z * x) * y) / z) = z \ ((z * x) * y). [para(7477(a,1),14951(a,1,1))]. given #13625 (H,wt=25): 14665 (x * (y \ z)) \ (x * (y \ T(z,u))) != w | K(z,L(u,y \ z,x)) = w. [para(14445(a,2),11589(a,1))]. given #13626 (H,wt=25): 14735 L(x,y,z) * L(x \ u,y,K(z,x)) != w | (u / x) * L(x,y,z) = w. [para(14704(a,2),220(a,1,2))]. given #13627 (H,wt=25): 14800 T(x * a(x,y,K(z,u)),a(u,y,z) \ 1) = R(x,a(u,y,z) \ 1,x). [para(14798(a,1),5498(a,1,1,2))]. given #13628 (H,wt=25): 14821 T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ K(y,y \ 1),u,w)). [para(3638(a,1),14191(a,1,2,1)),flip(a)]. given #13629 (H,wt=21): 14953 T(x,R(y \ K(z,z \ 1),u,w)) = T(x,R(y \ 1,u,w)). [hyper(236,a,4721,a(flip),b,14821,a(flip))]. given #13630 (H,wt=25): 14851 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = K(z,K(w,L(x,y,u \ 1))). [para(9246(a,1),14372(a,1,1,3))]. given #13631 (H,wt=25): 14861 (x \ (((y * z) / y) * y)) * K(y,(y * z) / y) = x \ (T(y,z) * z). [para(3875(a,2),14857(a,2,2))]. given #13632 (H,wt=21): 14956 (x \ (y * z)) * K(y,(y * z) / y) = x \ (T(y,z) * z). [para(16(a,1),14861(a,1,1,2))]. given #13633 (H,wt=17): 14958 (x \ (y * z)) * K(y,z) = x \ (T(y,z) * z). [para(4995(a,1),14956(a,1,2))]. given #13634 (H,wt=25): 14897 L(T(x,y),x \ 1,z) * (K(y,x) / u) = L(x,x \ 1,z) * (1 / u). [para(8977(a,1),14542(a,1,2,1))]. given #13635 (H,wt=25): 14917 K(x,L((y * z) / u,u,z \ 1)) = K(x,L((y * z) / u,y,z \ 1)). [hyper(14916,a,11473,a(flip)),flip(a)]. given #13636 (H,wt=26): 14078 ((a(x,y,z) \ 1) \ a(u,y,K(z,x))) * u = u * ((a(x,y,z) \ 1) \ 1). [para(14004(a,2),5506(a,1,1,2))]. given #13637 (H,wt=26): 14325 K(x,a(y,z,u)) * K(a(y,z,u),L(x,w,v5)) = a(a(y,z,u),K(v5,x),w). [hyper(236,a,47,a,b,13999,a)]. given #13638 (H,wt=26): 14374 a(x,y,K(z,K(u,w))) * K(x,K(u,w)) != v5 | K(u,K(w,L(x,y,z))) = v5. [para(14342(a,2),11560(a,1))]. given #13639 (H,wt=26): 14388 K(x,(y \ (y / ((z \ 1) \ 1))) \ u) != w | K(x,(y \ (y / z)) \ u) = w. [para(2775(a,1),14320(a,1,2,1))]. given #13640 (H,wt=26): 14389 K(x,((y * ((z \ 1) \ 1)) \ y) \ u) != w | K(x,((y * z) \ y) \ u) = w. [para(2817(a,1),14320(a,1,2,1))]. given #13641 (H,wt=26): 14496 R(K(x,y) \ (T(x,y) / z),K(x,y),z) / K(x,y) = x / (K(x,y) * z). [hyper(74,a,632,a,b,14480,a(flip))]. given #13642 (H,wt=26): 14596 a(x,y,K(z,L(u,w,v5))) * K(x,u) != v6 | K(x,L(u,y,L(z,w,v5))) = v6. [para(11533(a,1),14025(a,1,1,3))]. given #13643 (H,wt=26): 14597 a(x,y,a(z,u,K(w,v5))) * K(x,v5) != v6 | K(x,L(v5,y,a(z,u,w))) = v6. [para(13871(a,2),14025(a,1,1,3))]. given #13644 (H,wt=26): 14599 (x * (y * z)) \ (L(x,z,y) * (y * z)) = ((y * z) * x) \ (y * (z * x)). [hyper(72,a,14206,a(flip),b,11069,a)]. given #13645 (H,wt=26): 14655 T(x,y * (x \ R(x,z,u))) != x * w | K(x,R(x,z,u) * (x \ y)) = w. [para(14651(a,1),4954(a,1))]. given #13646 (H,wt=26): 14667 x * (x / (y * (K(z,u) * (y \ x)))) = K(u,L(T(z,y \ x),x,y)) * x. [para(14576(a,1),8234(a,1,1)),flip(a)]. given #13647 (H,wt=26): 14869 L(K(x,y),y * z,K(u,w)) != K(x,y) * v5 | a(x,z,K(y,K(u,w))) = v5. [para(14640(a,1),19(a,1))]. given #13648 (H,wt=26): 14912 ((x \ y) * (y \ x)) \ z != u * z | z \ (((x \ y) * (y \ x)) \ z) = u. [para(14910(a,1),20(a,1))]. given #13649 (H,wt=26): 14915 (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) = L(y,K(z,T(u,y)),x). [para(8047(a,1),14914(a,2,1,2)),flip(a)]. given #13650 (H,wt=26): 14936 K((x \ y) \ ((z / (z / x)) \ 1),u) != w | K(y \ K(x,x \ z),u) = w. [para(14224(a,2),6499(a,1))]. given #13651 (H,wt=26): 14960 a(x,y,K(z,u)) * K(a(u,y,z),L(x,w,v5)) = a(a(u,y,z),K(v5,x),w). [para(14004(a,2),14325(a,1,1))]. given #13652 (H,wt=26): 14961 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) != v5 | K(z,K(w,L(x,y,u))) = v5. [para(7919(a,1),14374(a,1,1,3))]. given #13653 (H,wt=19): 14964 K(x,K(y,L(z,u,w \ 1))) = K(x,K(y,L(z,u,w))). [hyper(14961,a,14851,a),flip(a)]. given #13654 (H,wt=19): 14965 K(x,K(y,L(z,u,1 / w))) = K(x,K(y,L(z,u,w))). [para(65(a,1),14964(a,1,2,2,3)),flip(a)]. given #13655 (H,wt=26): 14962 R(K(x,y) * (T(y,x) / z),K(y,x),z) / K(y,x) = y / (K(y,x) * z). [para(5260(a,1),14496(a,1,1,1))]. given #13656 (H,wt=20): 14966 R(x / y,K(x,z),y) / K(x,z) = x / (K(x,z) * y). [para(14474(a,1),14962(a,1,1,1))]. given #13657 (H,wt=26): 14963 a(x,y,K(z,u)) * a(u,y,K(z,L(x,w,v5))) = a(a(u,y,z),K(v5,x),w). [para(13871(a,2),14960(a,1,2))]. given #13658 (H,wt=26): 14968 a(x,y,K(z,u)) * a(u,y,K(z,L(x,w,v5))) = a(u,w,a(v5,y,K(z,x))). [hyper(236,a,14425,a(flip),b,14963,a)]. given #13659 (H,wt=26): 14969 a(x,y,K(z,u)) * a(x,w,a(v5,y,K(z,u))) = a(x,y,K(z,L(u,w,v5))). [hyper(14030,a,14968,a)]. given #13660 (H,wt=26): 14970 a(x,y,K(z,u)) * a(z,y,K(L(x,w,v5),u)) = a(u,w,a(v5,y,K(z,x))). [hyper(236,a,14009,a,b,14968,a(flip)),flip(a)]. given #13661 (H,wt=26): 14972 a(x,y,K(z,u)) * a(z,y,K(x,L(u,w,v5))) = a(u,w,a(v5,y,K(z,x))). [para(11533(a,1),14970(a,1,2,3))]. given #13662 (H,wt=26): 14973 a(x,y,K(z,u)) \ a(u,w,a(v5,y,K(z,x))) = a(z,y,K(x,L(u,v5,w))). [hyper(72,a,14587,a,b,14972,a)]. given #13663 (H,wt=27): 14080 a(x,y,z) * a(x * (y * z),y,K(z,x)) = ((x * y) * z) / (x * (y * z)). [para(14004(a,2),5035(a,1,2))]. given #13664 (H,wt=25): 14974 a(x,y,z) * a(z,y,K(x,y * z)) = ((x * y) * z) / (x * (y * z)). [para(13998(a,1),14080(a,1,2))]. given #13665 (H,wt=18): 14975 ((x * y) * z) / (x * (y * z)) = a(x,y,z) * 1. [para(14013(a,1),14974(a,1,2)),flip(a)]. given #13666 (H,wt=16): 14976 a(x,y,z) = ((x * y) * z) / (x * (y * z)). [hyper(236,a,12,a(flip),b,14975,a),flip(a)]. given #13667 (H,wt=16): 14978 a(x,y,z) = R(R(x,y,z) / x,x,y * z). [hyper(236,a,491,a,b,14976,a)]. given #13668 (H,wt=16): 14980 a(x,y,z) * (x * (y * z)) = (x * y) * z. [para(14976(a,2),16(a,1,1))]. given #13669 (H,wt=20): 14981 a(x / (y * z),y,z) * x = ((x / (y * z)) * y) * z. [para(14976(a,2),233(a,1,1))]. given #13670 (H,wt=20): 14983 R(R(x,y,z) / x,x,T(y,z) * z) = a(x,T(y,z),z). [para(10690(a,1),14978(a,2,1,1)),flip(a)]. given #13671 (H,wt=20): 14985 a(x,y,T(z,y)) * (x * (z * y)) = (x * y) * T(z,y). [para(119(a,1),14980(a,1,2,2))]. given #13672 (H,wt=25): 14984 a(a(x,y,z),u,w) * (a(x,y,z) * (w * u)) = (a(x,y,z) * w) * u. [para(47(a,1),14980(a,1,1))]. given #13673 (H,wt=27): 14142 a(x * K((y * z) / z,y * z),u,w) = a(x * K(z \ 1,z * y),u,w). [para(14068(a,1),13616(a,1,1,2))]. given #13674 (H,wt=23): 14988 a(x * K(y \ 1,y * z),u,w) = a(x * K(z,z * y),u,w). [para(15(a,1),14142(a,1,1,2,1)),flip(a)]. given #13675 (H,wt=27): 14177 ((x * y) / x) / ((x * (y * K(z \ u,y))) / x) = K(y,T((z \ 1) * u,x)). [para(14109(a,1),9124(a,1,2,1,2,2))]. given #13676 (H,wt=17): 14989 K(x,T((y \ 1) * z,u)) = K(x,T(y \ z,u)). [hyper(9125,a,14177,a),flip(a)]. given #13677 (H,wt=17): 14990 K(x,T((1 / y) \ z,u)) = K(x,T(y * z,u)). [para(65(a,1),14989(a,1,2,1,1)),flip(a)]. given #13678 (H,wt=27): 14343 a(x,y,K(z \ 1,L(u,w,v5))) * K(x,u) = K(x,L(u,y,L(z,w,v5) \ 1)). [para(11480(a,1),14020(a,1,1,3))]. given #13679 (H,wt=23): 14991 K(x,L(y,z,L(u \ 1,w,v5))) = K(x,L(y,z,L(u,w,v5) \ 1)). [hyper(14596,a,14343,a)]. given #13680 (H,wt=15): 14993 K(x,L(y,z,L(z \ 1,u,w))) = K(x,y). [hyper(70,a,14405,a(flip),b,14991,a)]. given #13681 (H,wt=15): 14994 K(x,L(y,z \ 1,L(z,u,w))) = K(x,y). [para(3621(a,1),14993(a,1,2))]. given #13682 (H,wt=26): 14992 K(x,L(y,z,L(u,w,v5) \ 1)) != v6 | K(x,L(y,z,L(u \ 1,w,v5))) = v6. [para(14343(a,1),14596(a,1))]. given #13683 (H,wt=27): 14360 L(x,y * ((K(z,u) * T(z,w)) \ 1),v5) = L(x,y * (K(u,z) / T(z,w)),v5). [para(14198(a,1),7003(a,1,2,2)),flip(a)]. given #13684 (H,wt=25): 14995 L(x,y * (K(z,u) / T(u,w)),v5) = L(x,y * (T(u,z) \ K(w,u)),v5). [para(6870(a,1),14360(a,1,2,2)),flip(a)]. given #13685 (H,wt=27): 14370 a(x,T((y \ ((z * u) / z)) * z,y \ u),w) = a(x,T(z,u) * (y \ u),w). [para(14266(a,2),13648(a,1,2,1))]. given #13686 (H,wt=25): 14996 a(x,T(T((y * z) / y,y \ z),y),u) = a(x,T(y,z) * (y \ z),u). [hyper(236,a,13651,a(flip),b,14370,a(flip)),flip(a)]. given #13687 (H,wt=19): 14997 a(x,T(y,z) * (y \ z),u) = a(x,T(z,y \ z),u). [para(201(a,1),14996(a,1,2)),flip(a)]. given #13688 (H,wt=17): 14999 a(x,T(y,z \ y),u) = a(x,K(z,y) * y,u). [para(4857(a,1),14997(a,1,2)),flip(a)]. given #13689 (H,wt=17): 15000 a(x,T(y,z \ y),u) = a(x,y * K(z,y),u). [para(4861(a,1),14997(a,1,2)),flip(a)]. given #13690 (H,wt=27): 14488 (T(T(x,y),x \ z) * u) \ T((x \ z) \ z,y) = (T(x,y) * u) \ T(x,y). [para(259(a,1),14471(a,1,2))]. given #13691 (H,wt=26): 15001 (T(T(x,y),x \ z) * u) \ T((x \ z) \ z,y) != w | (x * u) \ x = w. [para(14488(a,2),14493(a,1))]. given #13692 (H,wt=27): 14536 K(K(x,y) * z,(K(x,y) * z) \ 1) = (z \ K(y,x)) \ (1 / (K(x,y) * z)). [para(14518(a,1),5057(a,1,1)),flip(a)]. given #13693 (H,wt=27): 14543 (x \ ((y * (x \ 1)) \ z)) \ K(x,x \ 1) = (x \ ((y * (1 / x)) \ z)) \ 1. [para(4688(a,1),14526(a,1,1)),flip(a)]. given #13694 (H,wt=27): 14600 K(x,y * z) * (y * (z * x)) != u * w | u \ (L(x,z,y) * (y * z)) = w. [para(14206(a,2),545(a,1))]. given #13695 (H,wt=27): 14612 K(x,y / (z / (1 / (u * K(w,v5))))) = K(x,y / (z / (K(v5,w) * (u \ 1)))). [para(14611(a,1),5752(a,2,2,2,2))]. given #13696 (H,wt=27): 14746 L(L(x,y,K(z,u)),w,v5) * a(z,y,u) != v6 | a(z,y,u) * L(x,w,v5) = v6. [para(14695(a,1),833(a,1,1,1))]. given #13697 (H,wt=27): 14809 K(x * y,R(z,x,y)) * (((z * x) * y) / u) = ((x * y) * R(z,x,y)) / u. [para(113(a,1),14807(a,1,2,1))]. given #13698 (H,wt=27): 14885 K(x,((y * z) \ y) \ ((y \ (y * z)) \ u)) = K(x,(z * ((y * z) \ y)) \ u). [para(13(a,1),14838(a,1,2,1,1)),flip(a)]. given #13699 (H,wt=23): 15004 K(x,(y * ((z * y) \ z)) \ u) = K(x,((z * y) \ z) \ (y \ u)). [para(13(a,1),14885(a,1,2,2,1)),flip(a)]. given #13700 (H,wt=27): 14886 K(x,(y \ (y * z)) \ (((y * z) \ y) \ u)) = K(x,(((y * z) \ y) * z) \ u). [para(13(a,1),14838(a,1,2,1,2)),flip(a)]. given #13701 (H,wt=23): 15006 K(x,(((y * z) \ y) * z) \ u) = K(x,z \ (((y * z) \ y) \ u)). [para(13(a,1),14886(a,1,2,1)),flip(a)]. given #13702 (H,wt=27): 14887 K(x,(y \ (y / z)) \ (((y / z) \ y) \ u)) = K(x,(z * (y \ (y / z))) \ u). [para(65(a,1),14838(a,1,2,1,1)),flip(a)]. given #13703 (H,wt=23): 15007 K(x,(y * (z \ (z / y))) \ u) = K(x,(z \ (z / y)) \ (y \ u)). [para(65(a,1),14887(a,1,2,2,1)),flip(a)]. given #13704 (H,wt=27): 14888 K(x,((y / z) \ y) \ ((y \ (y / z)) \ u)) = K(x,((y \ (y / z)) * z) \ u). [para(65(a,1),14838(a,1,2,1,2)),flip(a)]. given #13705 (H,wt=23): 15008 K(x,((y \ (y / z)) * z) \ u) = K(x,z \ ((y \ (y / z)) \ u)). [para(65(a,1),14888(a,1,2,1)),flip(a)]. given #13706 (H,wt=27): 14900 K(x * (((y / z) \ 1) \ K(u,u \ z)),w) = K(x * (y / ((u \ z) * u)),w). [para(10451(a,1),14898(a,2,1,2))]. given #13707 (H,wt=27): 14904 T((1 / ((x * y) \ x)) * K(y,z),y) = (y \ (1 / ((x * y) \ x))) * T(y,z). [para(14903(a,1),7188(a,2,1))]. given #13708 (H,wt=27): 15002 K(K(x,y) * z,(K(x,y) * z) \ 1) = (z \ K(y,x)) \ ((1 / z) * K(y,x)). [para(14589(a,1),14536(a,2,2))]. given #13709 (H,wt=19): 15009 K(K(x,y) * z,(K(x,y) * z) \ 1) = K(z,z \ 1). [hyper(236,a,14153,a(flip),b,15002,a)]. given #13710 (H,wt=17): 15010 K(K(x,y) * z,z \ K(y,x)) = K(z,z \ 1). [hyper(6479,a,15009,a)]. given #13711 (H,wt=27): 15003 K(x,y / (z / (K(u \ 1,w) * (u \ 1)))) = K(x,y / (z / T(1 / u,w))). [para(7518(a,1),14612(a,1,2,2,2)),flip(a)]. given #13712 (H,wt=23): 15012 K(x,y / (z / T(1 / u,w))) = K(x,y / (z / T(u \ 1,w))). [para(4897(a,2),15003(a,1,2,2,2)),flip(a)]. given #13713 (H,wt=28): 14069 R(x,y,y \ 1) * (z / R(x,y,y \ 1)) = z * K(x,R(x,y,y \ 1) \ z). [para(14065(a,1),5079(a,1,2)),flip(a)]. given #13714 (H,wt=23): 15013 R(x,y,y \ 1) * (z / R(x,y,y \ 1)) = z * K(x,x \ z). [para(12843(a,1),14069(a,2,2))]. given #13715 (H,wt=21): 15014 R(x,y,y \ 1) * (z / R(x,y,y \ 1)) = x * (z / x). [hyper(236,a,5079,a(flip),b,15013,a)]. given #13716 (H,wt=24): 15016 R(x,y,y \ 1) * (z / R(x,y,y \ 1)) != x * u | z / x = u. [para(15014(a,2),19(a,1))]. given #13717 (H,wt=26): 15017 (x * (y \ 1)) * (z / R(x / y,y,y \ 1)) = (x / y) * (z / (x / y)). [para(482(a,1),15014(a,1,1))]. given #13718 (H,wt=23): 15018 (x * (y \ 1)) * (z / (x * (y \ 1))) = (x / y) * (z / (x / y)). [para(482(a,1),15017(a,1,2,2))]. given #13719 (H,wt=28): 14251 K(x,L(T((1 / y) \ z,u / y),1 / y,u)) = K(x,(u * z) / (u * (1 / y))). [para(14244(a,1),8135(a,1,2,1))]. given #13720 (H,wt=28): 14310 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) != v6 | a(z,u,K(v5,w)) = v6. [para(13985(a,2),14286(a,1))]. given #13721 (H,wt=28): 14327 a(L(T(x,y * z),z,y),u,K(w,z \ u)) = a(w,z,K((y * u) / (y * z),x)). [para(11537(a,1),14002(a,1,3)),flip(a)]. given #13722 (H,wt=28): 14426 R(x,y,z) \ ((x \ (R(x,y,z) * u)) * x) = u * K((x \ u) * R(x,y,z),x). [para(7514(a,1),14397(a,2,2))]. given #13723 (H,wt=28): 14516 (K(x,y) * z) * T(z \ 1,u) != w * v5 | (K(x,y) * K(z \ 1,u)) / v5 = w. [para(14503(a,1),6230(a,1,1))]. given #13724 (H,wt=28): 14534 (x * (K(y,z) * u)) * ((K(y,z) * u) \ 1) = R(x,K(y,z) * u,u \ K(z,y)). [para(14518(a,1),189(a,2,3))]. given #13725 (H,wt=26): 15022 (x * (K(y,z) * u)) * (u \ K(z,y)) = R(x,K(y,z) * u,u \ K(z,y)). [para(14518(a,1),14534(a,1,2))]. given #13726 (H,wt=28): 14562 K(L(x \ y,x,z / y),(z / y) * x) = K((z / y) \ (x \ z),(z / y) * x). [para(454(a,2),14410(a,1,1))]. given #13727 (H,wt=23): 15024 K((x / y) \ (z \ x),(x / y) * z) = K(z \ y,(x / y) * z). [hyper(236,a,14202,a(flip),b,14562,a(flip))]. given #13728 (H,wt=25): 15025 (((x / y) * z) \ x) * ((x / y) * z) = x * K(z \ y,(x / y) * z). [para(15024(a,1),14561(a,1,2)),flip(a)]. given #13729 (H,wt=26): 15026 L(x \ y,x,z / y) * ((z / y) * x) = z * K(x \ y,(z / y) * x). [para(454(a,2),15025(a,1,1))]. given #13730 (H,wt=28): 14582 K(x,L((y * K(z,u)) \ w,u,T(u,z) / y)) = K(x,u \ ((T(u,z) / y) * w)). [para(14433(a,1),14570(a,1,2,1,1))]. given #13731 (H,wt=28): 14842 L(x,y,K(z,u)) \ w != v5 * v6 | v5 \ (K(x,L(z,y,u)) * (T(x,z) \ w)) = v6. [para(14840(a,1),545(a,1))]. given #13732 (H,wt=28): 14848 L((x \ y) \ 1,x \ y,x) \ (1 / (x \ y)) = ((y \ x) \ 1) * ((x \ y) \ 1). [para(347(a,1),14365(a,1,1,1)),flip(a)]. given #13733 (H,wt=21): 15027 ((x \ y) \ 1) * ((y \ x) \ 1) = (x \ y) \ (1 / (y \ x)). [para(347(a,1),14848(a,1,1)),flip(a)]. given #13734 (H,wt=28): 15020 K(x,L(T((1 / y) \ z,u / y),y \ 1,u)) = K(x,(u * z) / (u * (1 / y))). [para(7000(a,1),14251(a,1,2))]. given #13735 (H,wt=28): 15021 R(x,y,z) \ ((R(x,y,z) * (x \ u)) * x) = u * K((x \ u) * R(x,y,z),x). [para(1491(a,1),14426(a,1,2,1))]. given #13736 (H,wt=28): 15023 ((x * (K(y,z) * z)) * K(z,y)) * (z \ 1) = R(x,K(y,z) * z,z \ K(z,y)). [hyper(236,a,9490,a,b,15022,a(flip)),flip(a)]. given #13737 (H,wt=28): 15029 R(x,y,z) \ ((R(x,y,z) * (x \ u)) * x) = u * K(u * (x \ R(x,y,z)),x). [para(14626(a,1),15021(a,2,2))]. given #13738 (H,wt=28): 15030 ((x * (y * K(z,y))) * K(y,z)) * (y \ 1) = R(x,K(z,y) * y,y \ K(y,z)). [para(3138(a,1),15023(a,1,1,1,2))]. given #13739 (H,wt=26): 15031 R(x,K(y,z) * z,z \ K(z,y)) = (x * (T(z,y) * K(y,z))) * (z \ 1). [para(9893(a,1),15030(a,1,1)),flip(a)]. given #13740 (H,wt=20): 15032 R(x,K(y,z) * z,z \ K(z,y)) = (x * z) * (z \ 1). [para(4836(a,1),15031(a,2,1,2))]. given #13741 (H,wt=19): 15033 R(x,K(y,z) * z,z \ K(z,y)) = R(x,z,z \ 1). [hyper(236,a,189,a(flip),b,15032,a)]. given #13742 (H,wt=19): 15034 R(x,y * K(z,y),y \ K(y,z)) = R(x,y,y \ 1). [para(3138(a,1),15033(a,1,2))]. given #13743 (H,wt=23): 15035 a(x,y * K(z,y),(y * K(z,y)) \ 1) = x \ R(x,y,y \ 1). [para(15034(a,1),5337(a,2,2))]. given #13744 (H,wt=21): 15036 a(x,y * K(z,y),(y * K(z,y)) \ 1) = a(x,y,y \ 1). [hyper(236,a,688,a(flip),b,15035,a)]. given #13745 (H,wt=19): 15038 a(x,y * K(z,y),y \ K(y,z)) = a(x,y,y \ 1). [para(5113(a,1),15036(a,1,3))]. given #13746 (H,wt=19): 15039 a(x,T(y,z \ y),y \ K(y,z)) = a(x,y,y \ 1). [hyper(236,a,15000,a,b,15038,a(flip)),flip(a)]. given #13747 (H,wt=29): 14105 (x \ L(x,y,z)) * K(u,L(w,x \ 1,L(x,y,z))) = L(x,y,z) * (x \ K(u,w)). [para(14046(a,1),11582(a,2,2))]. given #13748 (H,wt=21): 15040 (x \ L(x,y,z)) * K(u,w) = L(x,y,z) * (x \ K(u,w)). [para(14994(a,1),14105(a,1,2))]. given #13749 (H,wt=29): 14108 K(T((x \ y) \ 1,z) \ u,T((x \ y) \ 1,w)) = K((x \ y) * u,T(y \ x,w)). [hyper(9467,a,14050,a)]. given #13750 (H,wt=27): 15043 K(T((x \ y) \ 1,z) \ u,T(y \ x,w)) = K((x \ y) * u,T(y \ x,w)). [hyper(9465,a,14108,a)]. given #13751 (H,wt=29): 14338 K(x,y) * a(y,z,K(x,L(u / w,v5,v6))) = K(x,L(y,z,L((w / u) \ 1,v5,v6))). [para(11722(a,1),14018(a,1,2,3))]. given #13752 (H,wt=29): 14403 (L(x,y,z) \ x) * (u / (L(x,y,z) \ x)) = u * a(L(x,y,z) * u,y,K(z,x)). [para(14208(a,1),13882(a,2,2))]. given #13753 (H,wt=29): 14548 a((x \ (T(x,y) / (T(x,y) / z))) \ 1,u,w) = a((z / T(x,y)) \ K(y,x),u,w). [para(14527(a,1),13628(a,1,1))]. given #13754 (H,wt=29): 14564 K(x \ (y \ z),x * y) * K((x * y) \ z,K(x,y)) = K((x * y) \ z,y * x). [para(14410(a,1),13242(a,1,1))]. given #13755 (H,wt=29): 14820 L((x \ y) \ y,z,u) / (1 / (x \ 1)) = (1 / (x \ 1)) \ L((x \ y) \ y,z,u). [para(5318(a,1),14819(a,1,1,1)),flip(a)]. given #13756 (H,wt=25): 15044 L((x \ y) \ y,z,u) / (1 / (x \ 1)) = x \ L((x \ y) \ y,z,u). [hyper(236,a,291,a(flip),b,14820,a)]. given #13757 (H,wt=21): 15046 L((x \ y) \ y,z,u) / x = x \ L((x \ y) \ y,z,u). [para(62(a,1),15044(a,1,2))]. given #13758 (H,wt=29): 14937 K((a(x,y,y \ 1) * (z \ 1)) \ K(u \ 1,u),w) = K(a(x,y,y \ 1) \ z,w). [hyper(6536,a,14263,a)]. given #13759 (H,wt=29): 14971 a(x,y,K(z,u)) * a(x,w,a(v5,y,K(z,u))) != v6 | a(x,y,K(z,L(u,w,v5))) = v6. [para(14968(a,1),14029(a,1,2)),flip(b)]. given #13760 (H,wt=30): 14306 K(T(x * (y \ 1),z) \ u,x * (y \ 1)) != w | K((x * (y \ 1)) \ u,x / y) = w. [para(7486(a,2),14282(a,1))]. given #13761 (H,wt=30): 14579 K((K(x,T(y,z)) \ u) \ (z * x),L(w,u,K(x,T(y,z)))) = K(u \ (z * T(x,y)),w). [para(8156(a,1),14569(a,2,1,2))]. given #13762 (H,wt=30): 14663 K(x,L(y * (K(z,y) * (u \ 1)),w,v5)) != v6 | K(x,L(((z * y) / z) / u,w,v5)) = v6. [para(5525(a,1),14401(a,1,2,1))]. given #13763 (H,wt=30): 14736 (K(x,L(y,z,K(u,x))) * w) / ((x * T(y,L(x,z,u))) \ w) = x * L(y,z,K(u,x)). [para(14705(a,1),11068(a,1,2,1))]. given #13764 (H,wt=25): 15048 (K(x,y) * z) / ((x * T(y,L(x,u,w))) \ z) = x * L(y,u,K(w,x)). [para(7420(a,1),14736(a,1,1,1))]. given #13765 (H,wt=25): 15050 (K(x,y) * z) / (L(y * x,u,K(w,x)) \ z) = x * L(y,u,K(w,x)). [para(14790(a,2),15048(a,1,2,1))]. given #13766 (H,wt=30): 14850 K(x,K(y,z \ (u * ((u \ z) * w)))) = a(w,u \ z,K(u,K(x,y))) * K(w,K(x,y)). [para(104(a,2),14372(a,2,2,2)),flip(a)]. given #13767 (H,wt=28): 15051 K(x,K(y,z \ (u * ((u \ z) * w)))) = a(w,z,K(u,K(x,y))) * K(w,K(x,y)). [para(14415(a,1),14850(a,2,1))]. given #13768 (H,wt=22): 15052 K(x,K(y,z \ (u * ((u \ z) * w)))) = K(x,K(y,L(w,z,u))). [hyper(236,a,14372,a(flip),b,15051,a)]. given #13769 (H,wt=19): 15053 K(x,K(y,L(z,u \ w,u))) = K(x,K(y,L(z,w,u))). [para(104(a,1),15052(a,1,2,2))]. given #13770 (H,wt=19): 15054 K(x,K(y,L(z,u / w,w))) = K(x,K(y,L(z,u,w))). [para(11122(a,2),15053(a,1,2,2))]. given #13771 (H,wt=30): 14896 K(x,((y * ((y * z) / y)) \ u) \ (z \ (T(y,z) \ u))) = a(T(y,z),z,K(x,z \ u)). [para(3875(a,1),14895(a,1,2,1,1))]. given #13772 (H,wt=30): 15047 K((K(x,T(y,z)) * u) \ (z * y),L(w,u,K(y,T(x,z)))) = K(u \ (z * T(y,x)),w). [para(7323(a,1),14579(a,1,1,1))]. given #13773 (H,wt=31): 14489 (T(T(x,y),x \ z) * u) \ T((x \ z) \ z,y) = (((x \ z) \ z) * u) \ ((x \ z) \ z). [para(259(a,2),14471(a,1,1,1))]. given #13774 (H,wt=19): 15055 (((x \ y) \ y) * z) \ ((x \ y) \ y) = (x * z) \ x. [hyper(15001,a,14489,a),flip(a)]. given #13775 (H,wt=31): 14506 (K(x,y) * z) * (K(x,y) * (1 / (K(x,y) * z))) = K(x,y) * K(K(x,y) * z,z \ 1). [para(14500(a,2),6020(a,1,2))]. given #13776 (H,wt=31): 14578 K(a(x \ 1,x,y) \ z,L(u,y,L(y,x,x \ 1))) = K(y \ (L(y,x,x \ 1) * z),u). [para(3682(a,1),14569(a,1,1,1))]. given #13777 (H,wt=23): 15057 K(x \ (L(x,y,y \ 1) * z),u) = K(a(y \ 1,y,x) \ z,u). [hyper(14339,a,14578,a),flip(a)]. given #13778 (H,wt=23): 15059 K(L(x,y,y \ 1) * (x \ z),u) = K(a(y \ 1,y,x) \ z,u). [para(1205(a,1),15057(a,1,1))]. given #13779 (H,wt=31): 14581 K(x,L(a(y \ 1,y,z) \ u,z,L(z,y,y \ 1))) = K(x,z \ (L(z,y,y \ 1) * u)). [para(3682(a,1),14570(a,1,2,1,1))]. given #13780 (H,wt=23): 15060 K(x,y \ (L(y,z,z \ 1) * u)) = K(x,a(z \ 1,z,y) \ u). [hyper(14339,a,14581,a),flip(a)]. given #13781 (H,wt=23): 15061 K(x,L(y,z,z \ 1) * (y \ u)) = K(x,a(z \ 1,z,y) \ u). [para(1205(a,1),15060(a,1,2))]. given #13782 (H,wt=31): 15041 L((x \ y) \ y,z,u) * (((x \ y) \ y) \ K(x,x \ y)) = L((x \ y) \ y,z,u) / x. [hyper(236,a,6464,a(flip),b,15040,a(flip))]. given #13783 (H,wt=27): 15062 L((x \ y) \ y,z,u) * (((y / x) \ y) \ 1) = L((x \ y) \ y,z,u) / x. [para(14529(a,1),15041(a,1,2))]. given #13784 (H,wt=23): 15063 L((x \ y) \ y,z,u) * (x \ 1) = L((x \ y) \ y,z,u) / x. [para(65(a,1),15062(a,1,2,1))]. given #13785 (H,wt=23): 15064 L((x \ y) \ y,z,u) * (x \ 1) = x \ L((x \ y) \ y,z,u). [hyper(236,a,15046,a(flip),b,15063,a)]. given #13786 (H,wt=31): 15056 (K(x,y) * z) * (K(x,y) * ((1 / z) * K(y,x))) = K(x,y) * K(K(x,y) * z,z \ 1). [para(14589(a,1),14506(a,1,2,2))]. given #13787 (H,wt=27): 15065 (K(x,y) * z) * T(1 / z,K(x,y)) = K(x,y) * K(K(x,y) * z,z \ 1). [para(7984(a,1),15056(a,1,2))]. given #13788 (H,wt=32): 14658 K(T(x * (y \ 1),z) \ u,x * (y \ 1)) = K(y * (x \ u),L(x * (y \ 1),y \ 1,x)). [hyper(236,a,7486,a,b,14107,a),flip(a)]. given #13789 (H,wt=27): 15066 K(T(x * (y \ 1),z) \ u,x * (y \ 1)) = K(y * (x \ u),x * (y \ 1)). [hyper(236,a,14055,a(flip),b,14658,a)]. given #13790 (H,wt=25): 15067 K(T(x * (y \ 1),z) \ u,x * (y \ 1)) = K(y * (x \ u),x / y). [hyper(236,a,14060,a(flip),b,15066,a)]. given #13791 (H,wt=21): 15068 K((x * (y \ 1)) \ z,x / y) = K(y * (x \ z),x / y). [hyper(14306,a,15067,a)]. given #13792 (H,wt=21): 15069 K(x / (y * (z \ 1)),y / z) = K(z * (y \ x),y / z). [hyper(8405,a,15068,a)]. given #13793 (H,wt=32): 14664 K(x,L(y * T((z \ u) \ 1,u),w,v5)) != v6 | K(x,L(y / (z \ T(u,u \ z)),w,v5)) = v6. [para(11822(a,1),14401(a,1,2,1,2))]. given #13794 (H,wt=32): 14987 a(a(x,y,z),u,w) * (a(x,y,z) * (w * u)) != v5 * v6 | v5 \ ((a(x,y,z) * w) * u) = v6. [para(14984(a,2),545(a,1))]. given #13795 (H,wt=33): 14427 L(x,y,(z * K(K(u \ w,u) * (v5 \ z),v5)) * K(w,u)) = L(x,y,T(z * K(u \ w,u),v5)). [para(14397(a,1),13805(a,1,3,1))]. given #13796 (H,wt=33): 14486 T(x,y * L(y \ 1,y,z)) / ((1 / (y * L(y \ 1,y,z))) \ x) = 1 / (y * ((z * y) \ z)). [para(7043(a,1),14464(a,2,2))]. given #13797 (H,wt=33): 14810 K((x * y) \ x,x * y) * (((x * y) * ((x * y) \ x)) / z) = (x * K(y \ 1,x * y)) / z. [para(5160(a,1),14807(a,2,1))]. given #13798 (H,wt=31): 15071 K(x \ 1,y * x) * (((y * x) * ((y * x) \ y)) / z) = (y * K(x \ 1,y * x)) / z. [para(6294(a,1),14810(a,1,1))]. given #13799 (H,wt=23): 15072 (x * K(y \ 1,x * y)) / z = K(y \ 1,x * y) * (x / z). [para(14(a,1),15071(a,1,2,1)),flip(a)]. given #13800 (H,wt=34): 14666 K(x,L(T(y,z \ u),u,z)) * K(x,K(u,z * (y \ (z \ u)))) = K(x,u / (z * (y \ (z \ u)))). [para(14576(a,1),9403(a,1,1))]. given #13801 (H,wt=34): 14959 (((x * (K(y,z) / z)) \ x) * (x \ (x * (K(y,z) / z)))) \ u = u / (L(z,z \ 1,x) * (1 / z)). [para(14897(a,1),12118(a,2,2))]. given #13802 (H,wt=33): 15075 (L(T(x,y),x \ 1,z) * (z \ (z * (K(y,x) / x)))) \ u = u / (L(x,x \ 1,z) * (1 / x)). [para(11667(a,1),14959(a,1,1,1))]. given #13803 (H,wt=29): 15077 (L(T(x,y),x \ 1,z) * (K(y,x) / x)) \ u = u / (L(x,x \ 1,z) * (1 / x)). [para(13(a,1),15075(a,1,1,2))]. given #13804 (H,wt=25): 15079 x / (L(y,y \ 1,z) * (1 / y)) = (L(y,y \ 1,z) * (1 / y)) \ x. [para(14897(a,1),15077(a,1,1)),flip(a)]. given #13805 (H,wt=34): 15074 K(x,L(T(y,z \ u),u,z)) * K(u,K(x,z * (y \ (z \ u)))) = K(x,u / (z * (y \ (z \ u)))). [para(7919(a,1),14666(a,1,2))]. given #13806 (H,wt=35): 14358 (x / ((y * z) / y)) \ T(x / z,1 / (x / ((y * z) / y))) = (x / z) * (1 / (x / ((y * z) / y))). [para(14151(a,1),7705(a,2,1))]. given #13807 (H,wt=31): 15081 (1 / ((x * y) / x)) \ T(1 / y,(x * y) / x) = (1 / y) * (1 / (1 / ((x * y) / x))). [para(3017(a,1),14358(a,1,2))]. given #13808 (H,wt=25): 15083 (1 / x) * (1 / (1 / ((y * x) / y))) = (1 / ((y * x) / y)) \ (x \ 1). [para(3189(a,1),15081(a,1,2)),flip(a)]. given #13809 (H,wt=21): 15084 (1 / x) * (1 / (1 / ((y * x) / y))) = (T(x,y) \ 1) * x. [hyper(236,a,11325,a(flip),b,15083,a)]. given #13810 (H,wt=35): 14870 ((x * ((K(y,x / y) / (x \ y)) \ 1)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(10101(a,2),14643(a,2,1,1,2,1)),flip(a)]. given #13811 (H,wt=33): 15087 ((x * ((x \ y) * K(x / y,y))) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(14144(a,1),14870(a,1,1,1,2))]. given #13812 (H,wt=31): 15088 ((x * ((y * (x / y)) \ y)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(14264(a,1),15087(a,1,1,1,2))]. given #13813 (H,wt=27): 15089 x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)) = ((x / (x / y)) / x) \ 1. [para(5532(a,1),15088(a,1,1,1)),flip(a)]. given #13814 (H,wt=27): 15090 x / (x * ((1 / ((x / ((x \ y) \ 1)) / x)) \ 1)) = ((x / (x / y)) / x) \ 1. [para(2774(a,2),15089(a,1,2,2,1))]. given #13815 (H,wt=23): 15091 x / (x * ((x / ((x \ y) \ 1)) / x)) = ((x / (x / y)) / x) \ 1. [para(65(a,1),15090(a,1,2,2))]. given #13816 (H,wt=19): 15093 x / (x / ((y / x) \ 1)) = ((x / (x / y)) / x) \ 1. [para(10550(a,1),15091(a,1,2))]. given #13817 (H,wt=19): 15094 1 / (x / (x / ((y / x) \ 1))) = (x / (x / y)) / x. [para(15093(a,2),62(a,1,2))]. given #13818 (H,wt=35): 14881 (x \ y) \ (x \ L(T(y,(z * u) / w),v5,K((w / z) \ u,u))) = K(y,L((z * u) / w,v5,u \ 1)). [para(10933(a,1),14739(a,1,2,2,3))]. given #13819 (H,wt=33): 15095 (x \ y) \ (x \ L(T(y,(z * u) / w),v5,K(u,w / z))) = K(y,L((z * u) / w,v5,u \ 1)). [para(13517(a,1),14881(a,1,2,2))]. given #13820 (H,wt=35): 14955 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(236,a,9587,a(flip),b,14953,a(flip)),flip(a)]. given #13821 (H,wt=31): 15097 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(236,a,3515,a(flip),b,14955,a)]. given #13822 (H,wt=25): 15098 T(x,R(y / T(1 / z,u),w,v5)) = T(x,R(y / T(z \ 1,u),w,v5)). [para(2498(a,1),15097(a,1,2,1)),flip(a)]. given #13823 (H,wt=36): 14106 (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(14046(a,1),6774(a,1,2))]. given #13824 (H,wt=32): 15100 (L(x \ 1,y,z) \ (x \ 1)) \ (L(1 / x,y,z) \ 1) = T(x,x \ (L(x \ 1,y,z) \ 1)). [para(4776(a,1),14106(a,1,2))]. given #13825 (H,wt=14): 15101 T(x,x \ (L(x \ 1,y,z) \ 1)) = x. [hyper(236,a,10976,a(flip),b,15100,a(flip))]. given #13826 (H,wt=36): 14880 (x \ y) \ (x \ L(T(y,((z \ 1) \ u) \ w),w,K(((z \ 1) \ u) \ w,z))) = K(y,u \ ((z \ 1) * w)). [hyper(236,a,11485,a(flip),b,14739,a)]. given #13827 (H,wt=36): 14946 (L(1 / x,y,z) \ K(x,u)) \ T(L(1 / x,y,z) \ 1,u) = K(u,T(x * L(x \ 1,y,z),T(x,u))). [para(14945(a,1),11786(a,1,1))]. given #13828 (H,wt=29): 15104 K(x,T(y * L(y \ 1,z,u),T(y,x))) = K(x,y) * K(L(1 / y,z,u) \ 1,x). [hyper(236,a,14450,a(flip),b,14946,a(flip))]. given #13829 (H,wt=29): 15105 K(x,T(y * L(y \ 1,z,u),T(y,x))) = K(x,y) * K((1 / y) \ 1,L(x,z,u)). [para(11480(a,1),15104(a,2,2))]. given #13830 (H,wt=25): 15106 K(x,T(y * L(y \ 1,z,u),T(y,x))) = K(x,y) * K(y,L(x,z,u)). [para(65(a,1),15105(a,2,2,1))]. given #13831 (H,wt=21): 15107 K(x,T(y * L(y \ 1,z,u),T(y,x))) = a(y,z,K(u,x)). [hyper(236,a,13999,a(flip),b,15106,a)]. given #13832 (H,wt=19): 15109 K(x,T(y * L(y \ 1,z,u),y)) = a(y,z,K(u,x)). [hyper(8027,a,15107,a)]. given #13833 (H,wt=17): 15110 K(x,y * L(y \ 1,z,u)) = a(y,z,K(u,x)). [para(1685(a,1),15109(a,1,2))]. given #13834 (H,wt=17): 15111 K(x,a(y,z,u \ 1) \ 1) = a(u,z,K(y,x)). [hyper(236,a,14124,a,b,15110,a(flip)),flip(a)]. given #13835 (H,wt=17): 15112 a(x \ 1,y,K(z,u)) = K(u,a(z,y,x) \ 1). [para(11929(a,1),15111(a,1,2,1)),flip(a)]. given #13836 (H,wt=36): 15080 ((L(x,x \ 1,y) * (1 / x)) \ z) * K(L(x,x \ 1,y),1 / x) = z / ((1 / x) * L(x,x \ 1,y)). [para(15079(a,1),10448(a,1,1))]. given #13837 (H,wt=36): 15103 (x \ y) \ (x \ L(T(y,((z \ 1) \ u) \ w),w,K(u \ (w * (z \ 1)),z))) = K(y,u \ ((z \ 1) * w)). [para(14920(a,1),14880(a,1,2,2,3))]. given #13838 (H,wt=32): 15113 (x \ y) \ (x \ L(T(y,((z \ 1) \ u) \ w),w,K(u \ w,z))) = K(y,u \ ((z \ 1) * w)). [para(14876(a,1),15103(a,1,2,2))]. given #13839 (H,wt=37): 14207 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(14202(a,1),13816(a,2,2,2))]. given #13840 (H,wt=37): 14592 K((x \ y) \ (x \ T(y,z)),u \ ((x \ T(y,z)) \ (x \ y))) = K(K(y,z),((x \ T(y,z)) * u) \ (x \ y)). [para(14436(a,1),14575(a,1,1)),flip(a)]. given #13841 (H,wt=37): 14841 K(L(x,y,K(z,u)),w) \ (K(x,L(z,y,u)) * (T(x,z) \ K(L(x,y,K(z,u)),w))) = L(x,y,K(z,u)) \ 1. [hyper(72,a,14840,a,b,4034,a)]. given #13842 (H,wt=37): 15019 ((x / T(y,z)) \ 1) * (u / (K(y,z) * ((x / y) \ 1))) = (K(y,z) / (x / y)) * (u / (K(y,z) / (x / y))). [para(14614(a,1),15018(a,1,1))]. given #13843 (H,wt=35): 15118 ((x / T(y,z)) \ 1) * (u / ((x / T(y,z)) \ 1)) = (K(y,z) / (x / y)) * (u / (K(y,z) / (x / y))). [para(14614(a,1),15019(a,1,2,2))]. given #13844 (H,wt=37): 15070 (((x * y) \ x) \ 1) / ((1 / (y * L(y \ 1,y,z))) \ (L(y \ 1,y,x) \ 1)) = 1 / (y * ((z * y) \ z)). [para(6537(a,1),14486(a,1,1))]. given #13845 (H,wt=23): 15119 (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = 1 / (y * ((x * y) \ x)). [para(12608(a,1),15070(a,1,2))]. given #13846 (H,wt=19): 15120 (1 / ((x * y) \ x)) / y = 1 / (y * ((x * y) \ x)). [hyper(236,a,6551,a(flip),b,15119,a(flip)),flip(a)]. given #13847 (H,wt=19): 15121 (1 / ((x * y) \ x)) / y = (y * ((x * y) \ x)) \ 1. [hyper(236,a,7038,a(flip),b,15120,a)]. given #13848 (H,wt=19): 15122 (x * ((y * x) \ y)) \ 1 = x \ (1 / ((y * x) \ y)). [hyper(236,a,14903,a(flip),b,15121,a(flip))]. given #13849 (H,wt=19): 15123 ((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)) = x. [para(15121(a,1),65(a,1,1))]. given #13850 (H,wt=25): 15127 ((x * ((y * x) \ y)) \ 1) * T(x,z) = T(x,z) / (x * ((y * x) \ y)). [para(15123(a,1),4667(a,1,2,1))]. given #13851 (H,wt=25): 15128 ((x * ((y * x) \ y)) \ 1) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [hyper(236,a,7038,a(flip),b,15127,a)]. given #13852 (H,wt=25): 15129 (x \ (1 / ((y * x) \ y))) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [para(15122(a,1),15128(a,1,1))]. given #13853 (H,wt=25): 15130 T((1 / ((x * y) \ x)) * K(y,z),y) = (y * ((x * y) \ x)) \ T(y,z). [hyper(236,a,14904,a,b,15129,a(flip)),flip(a)]. given #13854 (H,wt=23): 15131 T(T(1 / ((x * y) \ x),z),y) = (y * ((x * y) \ x)) \ T(y,z). [para(6318(a,1),15130(a,1,1))]. given #13855 (H,wt=21): 15132 (x * ((y * x) \ y)) \ T(x,z) = T(1 / ((y * x) \ y),z). [hyper(236,a,5721,a(flip),b,15131,a(flip))]. given #13856 (H,wt=19): 15133 1 / ((x * T(y,z)) \ x) = T(1 / ((x * y) \ x),z). [hyper(236,a,9985,a(flip),b,15132,a(flip)),flip(a)]. given #13857 (H,wt=19): 15134 T(1 / ((x * y) \ x),z) \ 1 = (x * T(y,z)) \ x. [para(15133(a,1),65(a,1,1))]. given #13858 (H,wt=19): 15135 ((x * T(y,z)) \ x) \ 1 = T(((x * y) \ x) \ 1,z). [para(15134(a,1),2483(a,1,1))]. given #13859 (H,wt=27): 15136 K(x,T(((y * z) \ y) \ 1,u) \ x) = K(x,1 \ (((y * T(z,u)) \ y) * x)). [para(15135(a,1),6600(a,1,2,1))]. given #13860 (H,wt=25): 15137 K(x,1 \ (((y * T(z,u)) \ y) * x)) = K(x,T(((y * z) \ y) * x,u)). [hyper(236,a,14353,a(flip),b,15136,a(flip))]. given #13861 (H,wt=23): 15138 K(x,T(((y * z) \ y) * x,u)) = K(x,((y * T(z,u)) \ y) * x). [para(50(a,1),15137(a,1,2)),flip(a)]. given #13862 (H,wt=23): 15139 K(x,T(((y * z) \ y) * x,u)) = K(x,x * ((y * T(z,u)) \ y)). [hyper(236,a,6605,a(flip),b,15138,a)]. given #13863 (H,wt=19): 15140 K(x,T(((y * z) \ y) * x,u)) = K(x,T(z,u) \ x). [hyper(236,a,10843,a(flip),b,15139,a)]. given #13864 (H,wt=19): 15142 K(x,T(((y * z) \ y) * x,u)) = K(x,T(z \ x,u)). [hyper(236,a,8841,a(flip),b,15140,a)]. given #13865 (H,wt=19): 15143 K(x,T((y \ z) \ x,u)) = K(x,T((z \ y) * x,u)). [para(14(a,1),15142(a,1,2,1,1,1)),flip(a)]. given #13866 (H,wt=17): 15144 K(x,T((y \ z) * x,z)) = K(x,(y / z) \ x). [hyper(9749,a,15143,a),flip(a)]. given #13867 (H,wt=17): 15145 K(x,T(x * (y \ z),z)) = K(x,(y / z) \ x). [hyper(13127,a,15144,a)]. given #13868 (H,wt=17): 15146 K(x,T((y \ z) * x,y)) = K(x,(y / z) \ x). [hyper(236,a,14853,a(flip),b,15144,a(flip)),flip(a)]. given #13869 (H,wt=17): 15148 K(x,(y / (y * z)) \ x) = K(x,T(z * x,y)). [para(13(a,1),15146(a,1,2,1,1)),flip(a)]. given #13870 (H,wt=19): 15147 K(x,((y \ z) / z) \ x) = K(x,T(x * T(y,z),z)). [hyper(236,a,11771,a(flip),b,15145,a(flip))]. given #13871 (H,wt=27): 15149 K(x,T((y / (y * z)) \ T(T(x,u),w),w)) = K(T(x,w),T(z * T(x,w),y)). [hyper(8999,a,15148,a)]. given #13872 (H,wt=23): 15151 K(T(x,y),T(z * T(x,y),u)) = K(x,T((u / (u * z)) \ x,y)). [hyper(236,a,9000,a(flip),b,15149,a(flip))]. given #13873 (H,wt=23): 15152 K(x,T(T(y * T(x,z),u),z)) = K(x,T((u / (u * y)) \ x,z)). [hyper(7823,a,15151,a)]. given #13874 (H,wt=21): 15154 K(x,T((y / (y * z)) \ x,u)) = K(x,T(T(x * z,y),u)). [hyper(236,a,10382,a(flip),b,15152,a(flip))]. given #13875 (H,wt=23): 15156 K(x,T((y / (z * y)) \ x,u)) = K(x,T(T(x * T(z,y),y),u)). [para(119(a,1),15154(a,1,2,1,1,2))]. given #13876 (H,wt=26): 15157 K(x,T(T(x * T(y,z),z),y)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). [hyper(236,a,9751,a(flip),b,15156,a(flip))]. given #13877 (H,wt=24): 15158 K(x,T(x * T(y,z),z)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). [hyper(9437,a,15157,a)]. given #13878 (H,wt=24): 15159 K(x,T(x * T(y,z),z)) = K(x,R((1 / (1 / y)) \ 1,y,z) \ x). [hyper(236,a,5490,a(flip),b,15158,a)]. given #13879 (H,wt=20): 15160 K(x,T(x * T(y,z),z)) = K(x,R(1 / y,y,z) \ x). [para(65(a,1),15159(a,2,2,1,1))]. given #13880 (H,wt=18): 15161 R(K(x,x * y),y,z) = K(x,T(x * T(y,z),z)). [hyper(236,a,11922,a(flip),b,15160,a),flip(a)]. given #13881 (H,wt=26): 15163 R(R(K(x,x * y),y,z),x * u,w) = K(R(x,u,w),T(x * T(y,z),z)). [para(15161(a,2),6678(a,1,1))]. given #13882 (H,wt=24): 15164 R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),T(x * T(u,w),w)). [hyper(236,a,6682,a(flip),b,15163,a(flip)),flip(a)]. given #13883 (H,wt=27): 15150 R(K(x,T(x * T(y,z),z)),x * u,w) = K(R(x,u,w),((y \ z) / z) \ x). [para(15147(a,1),6678(a,1,1))]. given #13884 (H,wt=25): 15165 K(R(x,y,z),((u \ w) / w) \ x) = K(R(x,y,z),T(x * T(u,w),w)). [hyper(236,a,6678,a(flip),b,15150,a(flip))]. given #13885 (H,wt=25): 15166 K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * (w / (u \ w))). [hyper(236,a,13552,a(flip),b,15165,a(flip))]. given #13886 (H,wt=21): 15167 K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * u). [para(62(a,1),15166(a,2,2,2))]. given #13887 (H,wt=20): 15168 R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),x * u). [hyper(236,a,15164,a,b,15167,a(flip)),flip(a)]. given #13888 (H,wt=20): 15170 R(K(x,R(x * y,z,u)),y,w) = K(R(x,z,u),x * y). [para(12874(a,1),15168(a,1,1))]. given #13889 (H,wt=20): 15171 K(x,R(R(x * y,z,u),y,w)) = K(R(x,z,u),x * y). [hyper(12888,a,15170,a)]. given #13890 (H,wt=20): 15172 K(x,R(R(x * y,z,u),y,w)) = K(x,R(x * y,z,u)). [hyper(236,a,12874,a(flip),b,15171,a)]. given #13891 (H,wt=19): 15173 K(x,R(x * y,y * z,u)) = K(x,R(x * y,z,u)). [hyper(236,a,12900,a(flip),b,15172,a(flip))]. given #13892 (H,wt=17): 15175 K(x,R(x * y,z,u)) = K(x,x * R(y,z,u)). [hyper(236,a,13556,a(flip),b,15173,a(flip))]. given #13893 (H,wt=19): 15176 K(x,R(x * y,z,u)) * x = T(x,x * R(y,z,u)). [para(15175(a,2),4897(a,2,1)),flip(a)]. given #13894 (H,wt=17): 15177 T(x,R(x * y,z,u)) = T(x,x * R(y,z,u)). [hyper(4898,a,15176,a)]. given #13895 (H,wt=23): 15178 L(T(x,R(y,z,u)),y,T(x,R(y,z,u))) = T(x,R(x * y,z,u)). [hyper(236,a,13364,a,b,15177,a),flip(a)]. given #13896 (H,wt=18): 15179 L(T(x,R(y,z,u)),y,x) = T(x,R(x * y,z,u)). [hyper(236,a,7536,a(flip),b,15178,a(flip)),flip(a)]. given #13897 (H,wt=21): 15180 T(x,x * y) * a(K(x,y),z,u) = T(x,R(x * y,z,u)). [hyper(236,a,12885,a,b,15179,a(flip)),flip(a)]. given #13898 (H,wt=21): 15183 T(x,x * y) * a(x,z,K(u,y)) = T(x,R(x * y,z,u)). [para(13987(a,1),15180(a,1,2))]. given #13899 (H,wt=37): 15116 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(7919(a,1),14207(a,2,2))]. given #13900 (H,wt=37): 15117 K((x \ y) \ (x \ T(y,z)),u \ ((x \ T(y,z)) \ (x \ y))) = K(y,K(z,((x \ T(y,z)) * u) \ (x \ y))). [hyper(236,a,7886,a(flip),b,14592,a)]. given #13901 (H,wt=37): 15184 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(11470(a,1),15116(a,1,1,2))]. given #13902 (H,wt=37): 15185 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(236,a,10476,a,b,15184,a(flip)),flip(a)]. given #13903 (H,wt=30): 15186 (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(11982(a,1),15185(a,1,1)),flip(a)]. given #13904 (H,wt=37): 15187 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(15186(a,1),545(a,1))]. given #13905 (H,wt=38): 14350 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(14027(a,1),5683(a,1,2,2,2,1))]. given #13906 (H,wt=38): 14768 L(x \ 1,x,y) * L(L(x \ 1,x,T(y,z)) \ 1,u,w) = L((x \ 1) * L((x \ 1) \ 1,u,w),x,T(y,z)). [para(14767(a,1),2683(a,1,1))]. given #13907 (H,wt=36): 15188 L((x \ 1) * L((x \ 1) \ 1,y,z),x,T(u,w)) = L(x \ 1,x,u) * L(L(x \ 1,x,u) \ 1,y,z). [para(14767(a,1),14768(a,1,2,1,1)),flip(a)]. given #13908 (H,wt=33): 15189 L((x \ 1) * L((x \ 1) \ 1,y,z),x,T(u,w)) = L((x \ 1) * L((x \ 1) \ 1,y,z),x,u). [hyper(236,a,2683,a(flip),b,15188,a)]. given #13909 (H,wt=27): 15191 L((x \ 1) * L((x \ 1) \ 1,y,z),x,T(u,w)) = L(x \ L(x,y,z),x,u). [para(1051(a,1),15189(a,2,1))]. given #13910 (H,wt=21): 15192 L(x \ L(x,y,z),x,T(u,w)) = L(x \ L(x,y,z),x,u). [para(1051(a,1),15191(a,1,1))]. given #13911 (H,wt=38): 14802 (K(x * a(y,z,K(u * x,w)),u) * v5) / (L(u * x,z,K(w,y)) \ v5) = (x * a(y,z,K(u * x,w))) * u. [para(14801(a,1),11068(a,1,2,1))]. given #13912 (H,wt=38): 14919 ((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). [hyper(14846,a,2849,a),flip(a)]. given #13913 (H,wt=36): 15193 ((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(9713(a,1),14919(a,2,3))]. given #13914 (H,wt=34): 15194 (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(9713(a,1),15193(a,1,1))]. given #13915 (H,wt=34): 15195 (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(12870(a,1),15194(a,1,2))]. given #13916 (H,wt=34): 15196 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(236,a,12402,a(flip),b,15195,a(flip)),flip(a)]. given #13917 (H,wt=26): 15197 L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = K(u,y) * (K(y,u) * x). [para(5268(a,1),15196(a,1,2)),flip(a)]. given #13918 (H,wt=18): 15198 L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = x. [hyper(236,a,5268,a(flip),b,15197,a)]. given #13919 (H,wt=38): 14943 ((x / (y * z)) * (y * T(z,u))) * ((y * K(z,u)) \ y) = y * R(y \ x,y * K(z,u),(y * K(z,u)) \ y). [para(14942(a,2),808(a,2,1)),flip(a)]. given #13920 (H,wt=34): 15201 ((x / (y * z)) * (y * T(z,u))) * ((y * K(z,u)) \ y) = y * R(y \ x,y * K(z,u),K(u,z)). [para(7549(a,1),14943(a,2,2,3))]. given #13921 (H,wt=38): 15124 (x * (y * ((z * y) \ z))) \ R(x,y * ((z * y) \ z),(y * ((z * y) \ z)) \ 1) = y \ (1 / ((z * y) \ z)). [hyper(236,a,391,a,b,15122,a(flip)),flip(a)]. given #13922 (H,wt=38): 15125 ((x * ((y * x) \ y)) * z) * ((x * ((y * x) \ y)) \ 1) = R(z,x * ((y * x) \ y),x \ (1 / ((y * x) \ y))). [para(15122(a,1),7039(a,2,3))]. given #13923 (H,wt=38): 15203 (x * (y * ((z * y) \ z))) \ R(x,y * ((z * y) \ z),y \ (1 / ((z * y) \ z))) = y \ (1 / ((z * y) \ z)). [para(15122(a,1),15124(a,1,2,3))]. given #13924 (H,wt=38): 15204 ((x * ((y * x) \ y)) * z) * ((x * ((y * x) \ y)) \ 1) = R(z,x * ((y * x) \ y),x \ (((y * x) \ y) \ 1)). [hyper(236,a,14368,a(flip),b,15125,a)]. given #13925 (H,wt=38): 15205 (x * (y * ((z * y) \ z))) \ R(x,y * ((z * y) \ z),y \ (((z * y) \ z) \ 1)) = y \ (1 / ((z * y) \ z)). [para(14368(a,1),15203(a,1,2))]. given #13926 (H,wt=38): 15206 ((x * ((y * x) \ y)) * z) * (x \ (1 / ((y * x) \ y))) = R(z,x * ((y * x) \ y),x \ (((y * x) \ y) \ 1)). [para(15122(a,1),15204(a,1,2))]. given #13927 (H,wt=39): 14190 ((x * K(y,z)) * (K(z,y) / x)) * ((K(z,y) / x) \ u) = u * T(u \ (1 * ((K(z,y) / x) \ u)),K(z,y) / x). [para(14144(a,1),985(a,1,1,1))]. given #13928 (H,wt=40): 14799 a(x,y,K(z,u)) * (w * ((a(z,y,x) \ u) * a(z,y,K(x,u)))) = T(w * (a(z,y,x) \ u),K(a(z,y,x) \ u,u)). [para(14797(a,1),13920(a,1,1))]. given #13929 (H,wt=38): 15207 T(x * (a(y,z,u) \ w),K(a(y,z,u) \ w,w)) = a(u,z,K(y,w)) * (x * (a(y,z,u) \ L(w,z,K(y,u)))). [para(14772(a,1),14799(a,1,2,2)),flip(a)]. given #13930 (H,wt=33): 15208 T(x * (a(y,z,u) \ w),K(a(y,z,u) \ w,w)) = a(u,z,K(y,w)) * (x * (w / a(y,z,u))). [para(14713(a,1),15207(a,2,2,2))]. given #13931 (H,wt=31): 15209 T(x * (a(y,z,u) \ w),a(u,z,K(y,w))) = a(u,z,K(y,w)) * (x * (w / a(y,z,u))). [para(14797(a,1),15208(a,1,2))]. given #13932 (H,wt=40): 14804 L(x,y,K(z,u)) * (a(z,y,u) * a(w,v5,K(a(z,y,u) * x,v6))) = L(L(x,y,K(z,u)) * a(z,y,u),v5,K(v6,w)). [para(14744(a,1),14801(a,1,2,2,3,1))]. given #13933 (H,wt=35): 15210 L(x,y,K(z,u)) * (a(z,y,u) * a(w,v5,K(a(z,y,u) * x,v6))) = L(a(z,y,u) * x,v5,K(v6,w)). [para(14744(a,1),14804(a,2,1))]. given #13934 (H,wt=35): 15211 L(x,y,K(z,u)) * (a(z,y,u) * a(a(z,y,u) * x,w,K(v5,v6))) = L(a(z,y,u) * x,w,K(v5,v6)). [para(13990(a,2),15210(a,1,2,2))]. given #13935 (H,wt=40): 14847 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(14845(a,1),3013(a,1,1,2))]. given #13936 (H,wt=40): 15126 (x \ (L(1 / x,x,y) \ 1)) * T(z,x \ (1 / ((y * x) \ y))) = z * ((x \ 1) / ((x * ((y * x) \ y)) * (x \ 1))). [para(15122(a,1),11968(a,1,2,2))]. given #13937 (H,wt=40): 15212 (x \ (L(1 / x,x,y) \ 1)) * T(z,x \ (((y * x) \ y) \ 1)) = z * ((x \ 1) / ((x * ((y * x) \ y)) * (x \ 1))). [para(4597(a,1),15126(a,1,2))]. given #13938 (H,wt=30): 15213 x * ((y \ 1) / ((y * ((z * y) \ z)) * (y \ 1))) = (y \ (L(1 / y,y,z) \ 1)) * x. [para(14905(a,1),15212(a,1,2)),flip(a)]. given #13939 (H,wt=25): 15214 (x \ (L(1 / x,x,y) \ 1)) * z = z * ((x \ 1) / L(x \ 1,x,y)). [para(1055(a,1),15213(a,1,2,2)),flip(a)]. given #13940 (H,wt=25): 15215 (x \ (L(1 / x,x,y) \ 1)) * z = z * (L(x \ 1,x,y) \ (x \ 1)). [para(6062(a,1),15214(a,2,2))]. given #13941 (H,wt=25): 15216 (x \ (L(1 / x,x,y) \ 1)) * z = z * (x \ (L(1 / x,x,y) \ 1)). [para(6158(a,1),15215(a,2,2))]. given #13942 (H,wt=23): 15217 T(x \ (L(1 / x,x,y) \ 1),z) = x \ (L(1 / x,x,y) \ 1). [hyper(168,a,15216,a,b,xx)]. given #13943 (H,wt=23): 15219 T(L(x \ 1,x,y) \ (x \ 1),z) = x \ (L(1 / x,x,y) \ 1). [para(6158(a,2),15217(a,1,1))]. given #13944 (H,wt=30): 15218 x * (y \ (L(1 / y,y,z) \ 1)) != x * u | T(y \ (L(1 / y,y,z) \ 1),x) = u. [para(15216(a,1),169(a,2)),flip(a)]. given #13945 (H,wt=41): 14258 (L(x \ 1,y,z) \ 1) \ T(L(x \ 1,y,z) \ 1,u * w) = T(K(x,L(u / (w \ 1),y,z)),L(x \ 1,y,z) \ 1). [hyper(394,a,14250,a(flip),b,11685,a),flip(a)]. given #13946 (H,wt=41): 14865 K(L(x,y,z),x \ u) * ((u / x) \ ((x \ u) * L(x,y,z))) = T(T(L(x,y,z) * K(u,x),u),K(L(x,y,z),x \ u)). [para(11697(a,1),14863(a,1,1)),flip(a)]. given #13947 (H,wt=41): 15220 (L(x \ 1,y,z) \ 1) \ T(L(x \ 1,y,z) \ 1,u * w) = T(K(x,L(u / (w \ 1),y,z)),L((x \ 1) \ 1,y,z)). [hyper(236,a,11700,a,b,14258,a)]. given #13948 (H,wt=39): 15222 (L(x \ 1,y,z) \ 1) \ T(L(x \ 1,y,z) \ 1,u * w) = T(K(x,L(u / (w \ 1),y,z)),L(T(x,1),y,z)). [hyper(236,a,9908,a(flip),b,15220,a)]. given #13949 (H,wt=37): 15223 (L(x \ 1,y,z) \ 1) \ T(L(x \ 1,y,z) \ 1,u * w) = T(K(x,L(u / (w \ 1),y,z)),L(x,y,z)). [para(145(a,1),15222(a,2,2,1))]. given #13950 (H,wt=32): 15224 (L(x \ 1,y,z) \ 1) \ T(L(x \ 1,y,z) \ 1,u * w) = K(x,L(u / (w \ 1),y,z)). [hyper(236,a,3273,a(flip),b,15223,a)]. given #13951 (H,wt=23): 15225 K(L(x \ 1,y,z) \ 1,u * w) = K(x,L(u / (w \ 1),y,z)). [hyper(4956,a,15224,a)]. given #13952 (H,wt=23): 15227 K((x \ 1) \ 1,L(y * z,u,w)) = K(x,L(y / (z \ 1),u,w)). [hyper(11590,a,15225,a)]. given #13953 (H,wt=22): 15228 K(x,L(y / (z \ 1),u,w)) != v5 | K(x,L(y * z,u,w)) = v5. [para(15227(a,1),5144(a,1))]. given #13954 (H,wt=41): 15221 K(x,L(x \ y,z,u)) * ((y / x) \ ((x \ y) * L(x,z,u))) = T(T(L(x,z,u) * K(y,x),y),K(L(x,z,u),x \ y)). [para(11533(a,1),14865(a,1,1))]. given #13955 (H,wt=39): 15229 T(T(L(x,y,z) * K(u,x),u),K(L(x,y,z),x \ u)) = K(x,L(x \ u,y,z)) * (K(x \ u,x) * L(x,y,z)). [para(5519(a,1),15221(a,1,2)),flip(a)]. given #13956 (H,wt=42): 14794 L(L(L(x,y,K(z,u)) \ 1,L(x,y,K(z,u)),y),y * L(x,y,K(z,u)),K(u,z)) = ((K(u,z) * y) * x) \ (K(u,z) * y). [para(14747(a,1),382(a,2,1))]. given #13957 (H,wt=42): 15182 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(3439(a,2),15179(a,2,2,1))]. given #13958 (H,wt=42): 15230 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(15098(a,1),15182(a,1,1))]. given #13959 (H,wt=38): 15231 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(65(a,1),15230(a,1,1,2,1,2,1))]. given #13960 (H,wt=36): 15232 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(10606(a,1),15231(a,1,1))]. given #13961 (H,wt=36): 15233 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(236,a,8995,a(flip),b,15232,a(flip)),flip(a)]. given #13962 (H,wt=32): 15235 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(65(a,1),15233(a,1,2,2,1)),flip(a)]. given #13963 (H,wt=30): 15236 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),x \ y,x). [hyper(236,a,11677,a(flip),b,15235,a)]. given #13964 (H,wt=27): 15238 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(x * (x \ y),u,w)). [hyper(236,a,15179,a(flip),b,15236,a)]. given #13965 (H,wt=23): 15239 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(y,u,w)). [para(14(a,1),15238(a,2,2,1))]. given #13966 (H,wt=23): 15240 T(x,R(x * (y / T(1 / (1 / x),z)),u,w)) = T(x,R(y,u,w)). [para(3439(a,1),15239(a,1,2,1))]. given #13967 (H,wt=43): 14359 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(14188(a,1),13819(a,2,1,2))]. given #13968 (H,wt=43): 14363 (a(x \ 1,x,y) * z) \ ((z * K(u,z \ (a(x \ 1,x,y) \ w))) * a(x \ 1,x,y)) = K(u,(a(x \ 1,x,y) * z) \ w). [hyper(72,a,14217,a(flip),b,11580,a)]. given #13969 (H,wt=43): 14630 K(T((x / y) \ 1,x),(1 / (y / (((x / y) \ 1) \ y))) * z) = K((((x / y) \ 1) \ y) \ y,z / (y / (((x / y) \ 1) \ y))). [para(4410(a,2),14183(a,1,1))]. given #13970 (H,wt=35): 15242 K(T((x / y) \ 1,x),(x / y) * z) = K((((x / y) \ 1) \ y) \ y,z / (y / (((x / y) \ 1) \ y))). [para(139(a,1),14630(a,1,2,1))]. given #13971 (H,wt=35): 15243 K((((x / y) \ 1) \ y) \ y,z / (y / (((x / y) \ 1) \ y))) = K((x / y) \ 1,T((x / y) * z,x)). [hyper(7823,a,15242,a),flip(a)]. given #13972 (H,wt=35): 15245 K((((x / y) \ 1) \ y) \ y,z / (y / (((x / y) \ 1) \ y))) = K(1 / (x / y),T(z * (x / y),x)). [hyper(236,a,13126,a,b,15243,a)]. given #13973 (H,wt=43): 15005 K(x,((y * ((z \ 1) \ 1)) \ y) \ ((y \ (y * ((z \ 1) \ 1))) \ u)) = K(x,(((z \ 1) \ 1) * ((((y * z) \ y) \ 1) \ 1)) \ u). [para(2817(a,2),14885(a,2,2,1,2))]. given #13974 (H,wt=41): 15246 K(x,((y * ((z \ 1) \ 1)) \ y) \ ((y \ (y * ((z \ 1) \ 1))) \ u)) = K(x,(T(z,1) * ((((y * z) \ y) \ 1) \ 1)) \ u). [hyper(236,a,13188,a(flip),b,15005,a)]. given #13975 (H,wt=39): 15247 K(x,((y * ((z \ 1) \ 1)) \ y) \ ((y \ (y * ((z \ 1) \ 1))) \ u)) = K(x,(z * ((((y * z) \ y) \ 1) \ 1)) \ u). [para(145(a,1),15246(a,2,2,1,1))]. given #13976 (H,wt=35): 15248 K(x,((y * ((z \ 1) \ 1)) \ y) \ ((y \ (y * ((z \ 1) \ 1))) \ u)) = K(x,(((y * z) \ y) * z) \ u). [para(2306(a,1),15247(a,2,2,1))]. given #13977 (H,wt=35): 15249 K(x,((y * ((z \ 1) \ 1)) \ y) \ ((y \ (y * ((z \ 1) \ 1))) \ u)) = K(x,z \ (((y * z) \ y) \ u)). [hyper(236,a,15006,a(flip),b,15248,a)]. given #13978 (H,wt=31): 15250 K(x,((y * ((z \ 1) \ 1)) \ y) \ (((z \ 1) \ 1) \ u)) = K(x,z \ (((y * z) \ y) \ u)). [para(13(a,1),15249(a,1,2,2,1))]. given #13979 (H,wt=27): 15251 K(x,((y * ((z \ 1) \ 1)) \ y) \ (z \ u)) = K(x,z \ (((y * z) \ y) \ u)). [hyper(236,a,5746,a(flip),b,15250,a(flip)),flip(a)]. given #13980 (H,wt=23): 15253 K(x,((y * z) \ y) \ (z \ u)) = K(x,z \ (((y * z) \ y) \ u)). [hyper(14389,a,15251,a)]. given #13981 (H,wt=23): 15254 K(x,(y * ((z * y) \ z)) \ u) = K(x,y \ (((z * y) \ z) \ u)). [hyper(236,a,15004,a,b,15253,a(flip)),flip(a)]. given #13982 (H,wt=43): 15241 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(7132(a,1),14359(a,2,1))]. given #13983 (H,wt=41): 15255 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(3248(a,1),15241(a,2,1,1))]. given #13984 (H,wt=39): 15256 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(7612(a,1),15255(a,2,2))]. given #13985 (H,wt=25): 15257 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. [hyper(236,a,14843,a(flip),b,15256,a)]. given #13986 (H,wt=23): 15259 K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. [para(11390(a,1),15257(a,1,1))]. given #13987 (H,wt=46): 15086 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(15084(a,1),13927(a,2,2))]. given #13988 (H,wt=46): 15260 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(236,a,5260,a(flip),b,15086,a)]. given #13989 (H,wt=44): 15261 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(236,a,8590,a(flip),b,15260,a)]. given #13990 (H,wt=34): 15262 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(4485(a,1),15261(a,1,2,2,2))]. given #13991 (H,wt=34): 15264 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(5260(a,1),15262(a,1,2,2))]. given #13992 (H,wt=32): 15265 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,1 / (1 / (1 / (1 / L(x,y,z))))). [para(10407(a,1),15264(a,1,2,2)),flip(a)]. given #13993 (H,wt=26): 15266 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,T(L(x,y,z),1)). [hyper(236,a,11037,a(flip),b,15265,a)]. given #13994 (H,wt=24): 15267 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,L(x,y,z)). [para(145(a,1),15266(a,2,2))]. given #13995 (H,wt=49): 14652 ((1 / x) * (((y * x) \ y) \ y)) * (z / ((1 / x) * (((y * x) \ y) \ y))) = z * K((y * x) * (1 / x),(1 / x) \ ((((y * x) \ y) \ y) \ z)). [para(6402(a,1),14646(a,1,2,1)),flip(a)]. given #13996 (H,wt=47): 15268 ((1 / x) * (((y * x) \ y) \ y)) * (z / ((1 / x) * (((y * x) \ y) \ y))) = z * K((y * x) * (1 / x),x * ((((y * x) \ y) \ y) \ z)). [para(14125(a,1),14652(a,2,2))]. given #13997 (H,wt=45): 15269 ((1 / x) * (((y * x) \ y) \ y)) * (z / ((1 / x) * (((y * x) \ y) \ y))) = z * K((y * x) * (1 / x),x * (T(y * x,y) \ z)). [para(13158(a,1),15268(a,2,2))]. given #13998 (H,wt=43): 15270 ((1 / x) * (((y * x) \ y) \ y)) * (z / ((1 / x) * (((y * x) \ y) \ y))) = z * K((y * x) / x,x * (T(y * x,y) \ z)). [para(14135(a,1),15269(a,2,2))]. given #13999 (H,wt=39): 15271 ((1 / x) * (((y * x) \ y) \ y)) * (z / ((1 / x) * (((y * x) \ y) \ y))) = z * K(y,x * (T(y * x,y) \ z)). [para(15(a,1),15270(a,2,2,1))]. given #14000 (H,wt=37): 15272 ((1 / x) * (((y * x) \ y) \ y)) * (z / ((1 / x) * (((y * x) \ y) \ y))) = z * K(y,x * ((y * x) \ z)). [para(7738(a,1),15271(a,2,2))]. given #14001 (H,wt=33): 15273 ((x * y) * (1 / y)) * (z / ((1 / y) * (((x * y) \ x) \ x))) = z * K(x,y * ((x * y) \ z)). [para(6402(a,1),15272(a,1,1))]. given #14002 (H,wt=29): 15274 ((x * y) * (1 / y)) * (z / ((x * y) * (1 / y))) = z * K(x,y * ((x * y) \ z)). [para(6402(a,1),15273(a,1,2,2))]. given #14003 (H,wt=33): 15275 (x * (1 / y)) * (z / (((x / y) * y) * (1 / y))) = z * K(x / y,y * (((x / y) * y) \ z)). [para(16(a,1),15274(a,1,1,1))]. given #14004 (H,wt=29): 15276 x * K(y / z,z * (((y / z) * z) \ x)) = (y * (1 / z)) * (x / (y * (1 / z))). [para(16(a,1),15275(a,1,2,2,1)),flip(a)]. given #14005 (H,wt=25): 15277 (x * (1 / y)) * (z / (x * (1 / y))) = z * K(x / y,y * (x \ z)). [para(16(a,1),15276(a,1,2,2,2,1)),flip(a)]. given #14006 (H,wt=25): 15279 (x * (1 / y)) * (z / (x * (1 / y))) = z * K(y \ x,(x \ z) * y). [para(13028(a,1),15277(a,2,2))]. given #14007 (H,wt=49): 14817 (((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(11390(a,2),14113(a,1,2,1))]. given #14008 (H,wt=49): 15280 (((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(5790(a,1),14817(a,1,1,1))]. given #14009 (H,wt=47): 15281 ((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(11390(a,1),15280(a,1,1))]. given #14010 (H,wt=45): 15282 ((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(11390(a,1),15281(a,1,2,1))]. given #14011 (H,wt=45): 15283 ((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(5790(a,1),15282(a,1,2,2,2))]. given #14012 (H,wt=25): 15284 1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = ((x \ K(x,y)) * T(x,z)) \ 1. [para(15259(a,1),15283(a,1,2)),flip(a)]. given #14013 (H,wt=23): 15285 1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = x * (K(y,x) / T(x,z)). [hyper(236,a,12903,a(flip),b,15284,a)]. given #14014 (H,wt=23): 15287 1 / (((x \ 1) \ K(y,x)) \ T(x,z)) = x * (K(y,x) / T(x,z)). [para(5790(a,1),15285(a,1,2,1))]. given #14015 (H,wt=21): 15288 1 / ((x \ K(x,y)) * T(x,z)) = x * (K(y,x) / T(x,z)). [para(11390(a,1),15287(a,1,2))]. given #14016 (H,wt=21): 15289 (x * (K(y,x) / T(x,z))) \ 1 = (x \ K(x,y)) * T(x,z). [para(15288(a,1),65(a,1,1))]. given #14017 (H,wt=50): 15114 (x \ y) \ (x \ L(T(y,(z * (u \ (u / z))) \ w),w,K((u \ (u / (1 / (z \ 1)))) \ w,z))) = K(y,(u \ (u / (1 / (z \ 1)))) \ ((z \ 1) * w)). [para(11333(a,1),15113(a,1,2,2,1,2,1))]. given #14018 (H,wt=46): 15291 (x \ y) \ (x \ L(T(y,(z * (u \ (u / z))) \ w),w,K((u \ (u / z)) \ w,z))) = K(y,(u \ (u / (1 / (z \ 1)))) \ ((z \ 1) * w)). [para(62(a,1),15114(a,1,2,2,3,1,1,2,2))]. given #14019 (H,wt=46): 15292 (x \ y) \ (x \ L(T(y,(z * (u \ (u / z))) \ w),w,K((u \ (z \ u)) \ w,z))) = K(y,(u \ (u / (1 / (z \ 1)))) \ ((z \ 1) * w)). [para(14366(a,1),15291(a,1,2,2,3))]. given #14020 (H,wt=50): 15115 (x \ y) \ (x \ L(T(y,((z \ (z / u)) * u) \ w),w,K((z \ (z / ((u \ 1) \ 1))) \ w,u))) = K(y,(z \ (z / ((u \ 1) \ 1))) \ ((u \ 1) * w)). [para(11905(a,1),15113(a,1,2,2,1,2,1))]. given #14021 (H,wt=46): 15293 (x \ y) \ (x \ L(T(y,((z \ (z / u)) * u) \ w),w,K((z \ (z / u)) \ w,u))) = K(y,(z \ (z / ((u \ 1) \ 1))) \ ((u \ 1) * w)). [para(5742(a,1),15115(a,1,2,2,3))]. given #14022 (H,wt=46): 15294 (x \ y) \ (x \ L(T(y,((z \ (z / u)) * u) \ w),w,K((z \ (u \ z)) \ w,u))) = K(y,(z \ (z / ((u \ 1) \ 1))) \ ((u \ 1) * w)). [para(14366(a,1),15293(a,1,2,2,3))]. given #14023 (H,wt=52): 15028 ((x \ R(x,y,y \ 1)) \ 1) \ ((1 / (x \ R(x,y,y \ 1))) / (R(x,y,y \ 1) \ x)) = T((R(x,y,y \ 1) \ x) \ 1,(x \ R(x,y,y \ 1)) \ 1). [hyper(394,a,10426,a,b,15027,a),flip(a)]. given #14024 (H,wt=50): 15295 ((x \ R(x,y,y \ 1)) \ 1) \ ((1 / (x \ R(x,y,y \ 1))) / (R(x,y,y \ 1) \ x)) = T((R(x,y,y \ 1) \ x) \ 1,a(x,y,y \ 1) \ 1). [para(688(a,1),15028(a,2,2,1))]. given #14025 (H,wt=41): 15296 ((x \ R(x,y,y \ 1)) \ 1) \ ((1 / (x \ R(x,y,y \ 1))) / (R(x,y,y \ 1) \ x)) = (R(x,y,y \ 1) \ x) \ 1. [hyper(236,a,10424,a(flip),b,15295,a)]. given #14026 (H,wt=39): 15298 (a(x,y,y \ 1) \ 1) \ ((1 / (x \ R(x,y,y \ 1))) / (R(x,y,y \ 1) \ x)) = (R(x,y,y \ 1) \ x) \ 1. [para(688(a,1),15296(a,1,1,1))]. given #14027 (H,wt=37): 15299 (a(x,y,y \ 1) \ 1) \ ((1 / a(x,y,y \ 1)) / (R(x,y,y \ 1) \ x)) = (R(x,y,y \ 1) \ x) \ 1. [para(688(a,1),15298(a,1,2,1,2))]. given #14028 (H,wt=37): 15300 (a(x,y,y \ 1) \ 1) \ ((a(x,y,y \ 1) \ 1) / (R(x,y,y \ 1) \ x)) = (R(x,y,y \ 1) \ x) \ 1. [para(12738(a,1),15299(a,1,2,1))]. given #14029 (H,wt=37): 15301 (a(x,y,y \ 1) \ 1) \ ((R(x,y,y \ 1) \ x) \ (a(x,y,y \ 1) \ 1)) = (R(x,y,y \ 1) \ x) \ 1. [para(10426(a,1),15300(a,1,2))]. given #14030 (H,wt=52): 15290 (((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(15289(a,1),3407(a,1,1,1))]. given #14031 (H,wt=50): 15302 (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(12903(a,1),15290(a,1,1))]. given #14032 (H,wt=48): 15303 (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(15289(a,1),15302(a,1,2,2))]. given #14033 (H,wt=46): 15304 (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(8622(a,1),15303(a,1,2))]. given #14034 (H,wt=44): 15305 (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(7015(a,1),15304(a,1,2))]. given #14035 (H,wt=29): 15306 ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(15198(a,1),15305(a,1,2)),flip(a)]. given #14036 (H,wt=27): 15307 ((((x \ K(x,y)) * T(x,z)) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(15289(a,1),15306(a,1,1,1,1))]. given #14037 (H,wt=25): 15308 ((x * (K(y,x) / T(x,z))) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(12903(a,1),15307(a,1,1,1))]. given #14038 (H,wt=23): 15309 (x * (K(y,x) / T(x,z))) \ u = ((x \ K(x,y)) * T(x,z)) * u. [para(15289(a,1),15308(a,1,1)),flip(a)]. given #14039 (H,wt=40): 15310 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(15309(a,1),8986(a,1,1))]. given #14040 (H,wt=38): 15311 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(8683(a,1),15310(a,1,2))]. given #14041 (H,wt=38): 15312 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(236,a,14995,a(flip),b,15311,a(flip)),flip(a)]. given #14042 (H,wt=36): 15313 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(4859(a,1),15312(a,1,2))]. given #14043 (H,wt=25): 15314 ((x \ 1) \ K(y,x)) \ (T(x,z) * u) = ((x \ K(x,y)) * T(x,z)) * u. [hyper(236,a,12511,a(flip),b,15313,a(flip))]. given #14044 (H,wt=55): 15316 (((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(15314(a,1),12722(a,1,1))]. given #14045 (H,wt=47): 15317 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(5543(a,1),15316(a,1,1,1)),flip(a)]. given #14046 (H,wt=43): 15318 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(5475(a,1),15317(a,2,2))]. given #14047 (H,wt=43): 15319 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(6028(a,1),15318(a,2,2))]. given #14048 (H,wt=41): 15320 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(10935(a,1),15319(a,2,2))]. given #14049 (H,wt=37): 15321 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),15320(a,2,2,1))]. given #14050 (H,wt=35): 15322 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(236,a,6201,a(flip),b,15321,a)]. given #14051 (H,wt=33): 15324 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [hyper(236,a,9438,a(flip),b,15322,a)]. given #14052 (H,wt=33): 15325 T(((x \ 1) \ K(y,x)) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(5790(a,1),15324(a,1,1,1))]. given #14053 (H,wt=31): 15326 T(((x \ K(x,y)) * T(x,x \ 1)) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(15314(a,1),15325(a,1,1))]. given #14054 (H,wt=23): 15327 T(K(x,y) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(5543(a,1),15326(a,1,1,1))]. given #14055 (H,wt=19): 15328 T(K(x,y) * z,x * z) = T(z,x * z) * K(x,y). [hyper(236,a,4513,a(flip),b,15327,a(flip)),flip(a)]. given #14056 (H,wt=19): 15329 T(K(x,y) * z,x * z) = T(z,z * x) * K(x,y). [para(4255(a,1),15328(a,2,1))]. given #14057 (H,wt=29): 15330 T(K(x,x * (y \ L(y,z,u))) * w,x * w) = T(w,w * x) * a(u,z,K(y,x)). [para(13695(a,1),15329(a,2,2))]. given #14058 (H,wt=25): 15331 T(a(x,y,K(z,u)) * w,u * w) = T(w,w * u) * a(x,y,K(z,u)). [para(13695(a,1),15330(a,1,1,1))]. given #14059 (H,wt=21): 15332 T(a(x,y,K(z,u)) * x,u * x) = T(x,R(x * u,y,z)). [hyper(236,a,15183,a(flip),b,15331,a)]. given #14060 (H,wt=21): 15333 T(x * a(x,y,K(z,u)),u * x) = T(x,R(x * u,y,z)). [para(12748(a,1),15332(a,1,1))]. given #14061 (H,wt=21): 15334 T(T(x,a(y,z,u) \ x),u * x) = T(x,R(x * u,z,y)). [para(14037(a,2),15333(a,1,1))]. given #14062 (H,wt=21): 15335 T(T(x,x * y),a(z,u,y) \ x) = T(x,R(x * y,u,z)). [hyper(4284,a,15334,a)]. given #14063 (H,wt=17): 15336 T(x,R(x * y,z,u)) = T(x,L(y * x,z,u)). [hyper(236,a,13923,a(flip),b,15335,a(flip))]. given #14064 (H,wt=23): 15337 T(x,L((y / T(1 / (1 / x),z)) * x,u,w)) = T(x,R(y,u,w)). [hyper(236,a,15240,a(flip),b,15336,a(flip))]. given #14065 (H,wt=21): 15338 T(x,L(y * (x * (1 / T(x,z))),u,w)) = T(x,R(y,u,w)). [para(9991(a,1),15337(a,1,2,1))]. given #14066 (H,wt=21): 15339 T(x,L(y * (x * (T(x,z) \ 1)),u,w)) = T(x,R(y,u,w)). [hyper(236,a,13925,a(flip),b,15338,a(flip)),flip(a)]. given #14067 (H,wt=17): 15340 T(x,L(y * K(z,x),u,w)) = T(x,R(y,u,w)). [para(4828(a,2),15339(a,1,2,1,2))]. given #14068 (H,wt=13): 15341 T(x,R(y,z,u)) = T(x,L(y,z,u)). [para(133(a,1),15340(a,1,2,1)),flip(a)]. given #14069 (H,wt=15): 15343 x \ T(x,L(y,z,u)) = K(x,R(y,z,u)). [hyper(72,a,15341,a(flip),b,4887,a(flip))]. given #14070 (H,wt=13): 15348 K(x,R(y,z,u)) = K(x,L(y,z,u)). [hyper(4956,a,15343,a),flip(a)]. given #14071 (H,wt=13): 15350 R(K(x,y),z,u) = K(x,L(y,z,u)). [hyper(12872,a,15348,a)]. given #14072 (H,wt=13): 15351 K(R(x,y,z),u) = K(x,L(u,y,z)). [hyper(236,a,12874,a,b,15348,a(flip)),flip(a)]. given #14073 (H,wt=13): 15362 R(K(x,y),z,u) = L(K(x,y),z,u). [hyper(236,a,11470,a,b,15350,a)]. given #14074 (H,wt=13): 15370 K(R(x,y,z),u) = K(L(x,y,z),u). [hyper(236,a,11533,a,b,15351,a)]. given #14075 (H,wt=13): 15383 R(K(x,y),y,z) != u | K(x,y) = u. [para(15362(a,2),7763(a,1))]. given #14076 (H,wt=16): 15349 K(x,R(y,z,u)) != w | K(x,L(y,z,u)) = w. [para(15343(a,1),4956(a,1))]. given #14077 (H,wt=16): 15358 K(x,L(y,z,u)) != w | R(K(x,y),z,u) = w. [para(15348(a,1),12872(a,1))]. given #14078 (H,wt=16): 15385 R(K(x,y),z,u) != w | K(x,L(y,z,u)) = w. [para(15362(a,2),11589(a,1))]. given #14079 (H,wt=16): 15390 K(R(x,y,z),u) != w | K(x,L(u,y,z)) = w. [para(15370(a,2),11595(a,1))]. given #14080 (H,wt=17): 15366 K(x,L(y \ 1,z,u)) = K(x,R(y,z,u) \ 1). [hyper(236,a,6791,a(flip),b,15350,a(flip))]. given #14081 (H,wt=17): 15379 L(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(236,a,5900,a(flip),b,15362,a(flip))]. given #14082 (H,wt=17): 15395 K(x,R(y,z,u) \ 1) = K(x,L(y,z,u) \ 1). [hyper(236,a,11486,a(flip),b,15366,a(flip))]. given #14083 (H,wt=17): 15397 K(R(x,y,z) \ 1,u) = K(L(x,y,z) \ 1,u). [hyper(6082,a,15379,a),flip(a)]. given #14084 (H,wt=18): 15344 R(x,y,z) * T(u,L(x,y,z)) = u * R(x,y,z). [para(15341(a,1),119(a,1,2))]. given #14085 (H,wt=18): 15346 T(x,L((y / z) / u,u,z)) = T(x,y / (u * z)). [para(235(a,1),15341(a,1,2)),flip(a)]. given #14086 (H,wt=18): 15352 K(x,R(y \ z,y,u)) = K(x,(u * y) \ (u * z)). [para(105(a,1),15348(a,2,2))]. given #14087 (H,wt=18): 15353 K(x,L(y / z,z,u)) = K(x,(y * u) / (z * u)). [para(114(a,1),15348(a,1,2)),flip(a)]. given #14088 (H,wt=18): 15354 K(x,L((y / z) / u,u,z)) = K(x,y / (u * z)). [para(235(a,1),15348(a,1,2)),flip(a)]. given #14089 (H,wt=18): 15367 K(x,L(y,z,u)) * (z * u) = (K(x,y) * z) * u. [para(15350(a,1),113(a,1,1))]. given #14090 (H,wt=15): 15412 T(x,(K(x,y) * z) * u) = T(x,z * u). [para(15367(a,1),7409(a,1,2))]. given #14091 (H,wt=18): 15373 K((x * y) / (z * y),u) = K(x / z,L(u,z,y)). [para(114(a,1),15351(a,1,1))]. given #14092 (H,wt=18): 15374 K((x / y) / z,L(u,z,y)) = K(x / (z * y),u). [para(235(a,1),15351(a,1,1)),flip(a)]. given #14093 (H,wt=18): 15377 L(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). [hyper(6810,a,15362,a),flip(a)]. given #14094 (H,wt=18): 15378 L(K(x / (y / z),u),x,z) = K((x * z) / y,u). [hyper(236,a,6689,a(flip),b,15362,a(flip))]. given #14095 (H,wt=18): 15380 L(K(x,y),z,u) * (z * u) = (K(x,y) * z) * u. [para(15362(a,1),113(a,1,1))]. given #14096 (H,wt=18): 15381 L(K(x,y),z,u) \ ((K(x,y) * z) * u) = z * u. [para(15362(a,1),143(a,1,1))]. given #14097 (H,wt=18): 15388 K(L((x / y) / z,z,y),u) = K(x / (z * y),u). [para(235(a,1),15370(a,1,1)),flip(a)]. given #14098 (H,wt=19): 15361 a(x,y,K(z,L(u,w,v5))) = R(K(a(x,y,z),u),w,v5). [hyper(236,a,13871,a,b,15350,a),flip(a)]. given #14099 (H,wt=19): 15400 R(x,y,y \ 1) * T(z,x) = z * R(x,y,y \ 1). [para(14362(a,1),15344(a,1,2))]. given #14100 (H,wt=19): 15424 a(x,y,K(z,L(u,w,v5))) = R(a(x,y,K(z,u)),w,v5). [para(13871(a,2),15361(a,2,1))]. given #14101 (H,wt=20): 15360 ((x * K(y,z)) * u) / (x * u) = K(y,L(T(z,x),x,u)). [hyper(8100,a,15350,a)]. given #14102 (H,wt=20): 15363 K(x,L((y / z) / u,z \ y,z)) = K(x,y / (u * z)). [hyper(236,a,10687,a(flip),b,15350,a(flip))]. given #14103 (H,wt=18): 15428 K(x,L((y / z) / u,y,z)) = K(x,y / (u * z)). [hyper(14594,a,15363,a)]. given #14104 (H,wt=20): 15368 K(x,L(y,z,u)) * (u * z) = (K(x,y) * z) * T(u,z). [para(15350(a,1),10681(a,1,1))]. given #14105 (H,wt=20): 15384 L(K(x,y),z,u) * (u * z) = (K(x,y) * z) * T(u,z). [para(15362(a,1),10681(a,1,1))]. given #14106 (H,wt=20): 15429 K(x,L((y / z) * u,y,z)) = K(x,y / ((u \ 1) * z)). [hyper(15228,a,15428,a)]. given #14107 (H,wt=21): 15345 R(x,y,z) * T(u,L(x,y,z)) != w | u * R(x,y,z) = w. [para(15341(a,1),220(a,1,2))]. given #14108 (H,wt=21): 15393 K((x * y) / ((z \ x) * y),u) != w | K(z,L(u,x,y)) = w. [para(6673(a,2),15385(a,1))]. given #14109 (H,wt=21): 15405 K(x,T(y / (z * u),z)) = K(x,(u * z) \ (u * (y / u))). [para(632(a,1),15352(a,1,2))]. given #14110 (H,wt=21): 15421 (K(x,y) * z) * u != w * (z * u) | L(K(x,y),z,u) = w. [para(15380(a,1),20(a,1))]. given #14111 (H,wt=21): 15425 R(x,y,y \ 1) * (x \ z) = (z / x) * R(x,y,y \ 1). [para(121(a,1),15400(a,1,2))]. given #14112 (H,wt=21): 15442 K(x,T(1 / (y * z),y)) = K(x,(z * y) \ K(z,1 / z)). [para(248(a,2),15405(a,2,2,2))]. given #14113 (H,wt=22): 15382 T(L(K(x,y),z,u),w) * (z * u) = (T(K(x,y),w) * z) * u. [para(15362(a,1),470(a,1,1,1))]. given #14114 (H,wt=22): 15407 K(x,T(L(y,z / y,u),z)) = K(x,(z * u) / ((z / y) * u)). [hyper(236,a,10815,a(flip),b,15353,a(flip)),flip(a)]. given #14115 (H,wt=20): 15445 K(x,(y * z) / ((y / u) * z)) = T(L(K(x,u),y,z),y). [hyper(236,a,7299,a(flip),b,15407,a(flip))]. given #14116 (H,wt=22): 15411 K(x,L(y,y \ z,u)) * ((y \ z) * u) = (T(y,x) \ z) * u. [para(5204(a,1),15367(a,2,1))]. given #14117 (H,wt=20): 15447 K(x,L(y,z,u)) * ((y \ z) * u) = (T(y,x) \ z) * u. [para(11474(a,1),15411(a,1,1))]. given #14118 (H,wt=22): 15413 K(L(x,y,z),u) * ((x * y) * z) = (K(x,u) * (x * y)) * z. [para(11471(a,1),15367(a,1,1))]. given #14119 (H,wt=20): 15448 K(L(x,y,z),u) * ((x * y) * z) = (T(x,u) * y) * z. [para(4906(a,1),15413(a,2,1))]. given #14120 (H,wt=22): 15414 K(x,L(y,z,u)) * ((y * z) * u) = (K(x,y) * (y * z)) * u. [para(11475(a,1),15367(a,1,1))]. given #14121 (H,wt=22): 15417 K((x * y) / ((z \ 1) * y),u) = K(x * z,L(u,z \ 1,y)). [hyper(236,a,14136,a(flip),b,15373,a)]. given #14122 (H,wt=22): 15449 K(((x / y) * z) / ((y \ 1) * z),u) = K(x,L(u,y \ 1,z)). [para(16(a,1),15417(a,2,1))]. given #14123 (H,wt=23): 15355 ((x * y) * z) * K(y * z,L(x,y,z)) = (y * z) * R(x,y,z). [para(15348(a,1),473(a,1,2))]. given #14124 (H,wt=20): 15452 ((x * y) * z) * K(y * z,x) = (y * z) * R(x,y,z). [para(14309(a,1),15355(a,1,2))]. given #14125 (H,wt=19): 15453 R(x,y,z) * T(y * z,x) = (y * z) * R(x,y,z). [hyper(6454,a,15452,a)]. given #14126 (H,wt=23): 15394 K(x,T((y \ 1) * (z * y),y)) != u | K(x,L(z,y,y \ 1)) = u. [para(13125(a,2),15385(a,1))]. given #14127 (H,wt=23): 15398 (x \ K(L(y,z,u) \ 1,w)) \ (x \ 1) = K(w,R(y,z,u) \ 1). [hyper(236,a,14101,a,b,15395,a),flip(a)]. given #14128 (H,wt=23): 15439 (K(x,T(y,z)) * z) * T(u,z) = u * (K(x,T(y,u * z)) * z). [hyper(236,a,9138,a(flip),b,15384,a(flip))]. given #14129 (H,wt=21): 15456 x * (K(y,T(z,x * u)) * u) = (u * K(y,z)) * T(x,u). [hyper(8098,a,15439,a),flip(a)]. given #14130 (H,wt=23): 15441 K(x,T(y / ((z \ u) * z),z \ u)) = K(x,u \ (z * (y / z))). [para(14(a,1),15405(a,2,2,1))]. given #14131 (H,wt=24): 15347 T(x,L((y * K(z,u)) / w,w,K(u,z))) = T(x,y / (w * K(u,z))). [para(7563(a,1),15341(a,1,2)),flip(a)]. given #14132 (H,wt=24): 15364 K(x,L(T(T(y,z),z * u),z,u)) = (z * u) \ ((z * K(x,y)) * u). [hyper(236,a,9721,a(flip),b,15350,a(flip))]. given #14133 (H,wt=24): 15375 K(x \ R(x,y,z),L(u,x,w)) = K((R(x,y,z) * w) / (x * w),u). [para(3694(a,1),15351(a,1,1)),flip(a)]. given #14134 (H,wt=24): 15386 L(K(x,y),z,u) \ (u * (K(x,y) * z)) = z * T(u,K(x,y) * z). [para(15362(a,1),14866(a,1,1))]. given #14135 (H,wt=24): 15406 K(x,(y * (z \ u)) / (z * (z \ u))) = K(x,L(y / z,u,z \ u)). [hyper(14595,a,15353,a),flip(a)]. given #14136 (H,wt=20): 15461 K(x,L(y / z,u,z \ u)) = K(x,(y * (z \ u)) / u). [para(14(a,1),15406(a,1,2,2)),flip(a)]. given #14137 (H,wt=24): 15408 K(x,K((y / z) / u,L(w,y / z,z))) = K(x,K(w,y / (u * z))). [para(15354(a,1),11569(a,2,2))]. given #14138 (H,wt=24): 15418 K(((x \ y) * x) / (z * x),u) != w | K((x * z) \ y,T(u,z)) = w. [para(15373(a,2),11553(a,1))]. given #14139 (H,wt=24): 15431 K(x,L(T(y / z,u) / u,y,z)) = K(x,y / (T(u,y / z) * z)). [para(4115(a,2),15428(a,1,2,1))]. given #14140 (H,wt=22): 15463 K(x,y / (T(z,y / u) * u)) = K(x,L(z \ (y / u),y,u)). [hyper(13172,a,15431,a),flip(a)]. given #14141 (H,wt=24): 15437 T((K(x,y) * z) * T(u,z),K(x,L(y,z,u))) = u * (z * K(x,y)). [para(15368(a,1),11578(a,1,1))]. given #14142 (H,wt=24): 15446 T(L(K(x,y),z / u,u),z / u) = K(x,z / (((z / u) / y) * u)). [para(16(a,1),15445(a,1,2,1)),flip(a)]. given #14143 (H,wt=24): 15460 L(K(x,y),z,u) * (u * (K(y,x) * z)) = z * T(u,K(y,x) * z). [hyper(6045,a,15386,a)]. given #14144 (H,wt=25): 15396 K(x,L((y / z) \ 1,z,z \ u)) != w | K(x,u / (y * (z \ u))) = w. [para(15366(a,2),5873(a,1))]. given #14145 (H,wt=20): 15465 K(x,L(y / z,y,y \ u)) = K(x,u / (z * (y \ u))). [hyper(15396,a,11722,a),flip(a)]. given #14146 (H,wt=24): 15466 K(x,L((y * z) / u,y,z \ 1)) = K(x,y / (u * ((y * z) \ y))). [hyper(14835,a,15465,a)]. given #14147 (H,wt=25): 15426 K((1 / x) \ R(y,z,z \ 1),u) = K(R(y,z,z \ 1) * T(x,y),u). [para(15400(a,2),14110(a,2,1))]. given #14148 (H,wt=25): 15430 K(x,R(y,y \ z,u)) = K(x,L(((z * u) / u) / (y \ z),z * u,u)). [para(110(a,2),15428(a,2,2)),flip(a)]. given #14149 (H,wt=21): 15468 K(x,R(y,y \ z,u)) = K(x,L(z / (y \ z),z * u,u)). [para(15(a,1),15430(a,2,2,1,1))]. given #14150 (H,wt=17): 15469 K(x,R(y,y \ z,u)) = K(x,L(y,z * u,u)). [para(62(a,1),15468(a,2,2,1))]. given #14151 (H,wt=17): 15470 K(x,L(y,y \ z,u)) = K(x,L(y,z * u,u)). [hyper(15349,a,15469,a)]. given #14152 (H,wt=15): 15471 K(x,L(y,z * u,u)) = K(x,L(y,z,u)). [hyper(11594,a,15470,a),flip(a)]. given #14153 (H,wt=25): 15457 ((x \ y) * K(z,u)) * T(x,x \ y) = x * (K(z,T(u,y)) * (x \ y)). [para(14(a,1),15456(a,1,2,1,2,2)),flip(a)]. given #14154 (H,wt=25): 15467 K(x,L((y * z) / u,y,z \ 1)) = K(x,y / (u * L(z \ 1,z,y))). [para(158(a,2),15466(a,2,2,2,2))]. given #14155 (H,wt=26): 15387 K(L(x * K(y,x),y,z),T(u,y * z)) = K((y * z) \ ((y * x) * z),u). [hyper(8401,a,15370,a),flip(a)]. given #14156 (H,wt=24): 15472 K(L(x,y,z),T(T(u,y * z),y)) = K((y * z) \ ((y * x) * z),u). [hyper(8430,a,15387,a)]. given #14157 (H,wt=26): 15403 T(x,L((y / z) / T(u,z),T(u,z),z)) = T(x,y / (u * ((u * z) / u))). [para(3875(a,1),15346(a,2,2,2))]. given #14158 (H,wt=21): 15473 T(x,y / (T(z,u) * u)) = T(x,y / (z * ((z * u) / z))). [hyper(236,a,15346,a(flip),b,15403,a(flip)),flip(a)]. given #14159 (H,wt=26): 15434 K(x,y / (z * u)) * a(u,y,K(x,(y / u) / z)) = K(x,(y / u) / z). [para(15428(a,1),11503(a,1,1))]. given #14160 (H,wt=26): 15438 (K(x,y) * (z \ u)) * T(z,z \ u) = K(x,L(y,u,z)) * (z * (z \ u)). [para(14565(a,1),15368(a,1,1)),flip(a)]. given #14161 (H,wt=22): 15474 (K(x,y) * (z \ u)) * T(z,z \ u) = K(x,L(y,u,z)) * u. [hyper(236,a,88,a(flip),b,15438,a)]. given #14162 (H,wt=18): 15478 (K(x,L(y,z,u)) * z) / u = K(x,y) * (z / u). [hyper(74,a,15474,a(flip),b,7642,a(flip))]. given #14163 (H,wt=26): 15451 K(x,((y / z) * u) / ((z \ 1) * u)) = w / (K(y,L(x,z \ 1,u)) * w). [para(15449(a,1),5266(a,1,2,1)),flip(a)]. given #14164 (H,wt=22): 15479 K(x,((y / z) * u) / ((z \ 1) * u)) = K(L(x,z \ 1,u),y). [hyper(236,a,5266,a(flip),b,15451,a)]. given #14165 (H,wt=25): 15480 K(x,((y / z) * u) / ((z \ 1) * u)) != w | K(x,L(y,z \ 1,u)) = w. [para(15479(a,2),11595(a,1))]. given #14166 (H,wt=26): 15455 ((x * y) * z) \ ((x * y) * R(z,x,y)) = (z * (x * y)) \ ((z * x) * y). [para(15453(a,1),11313(a,1,2))]. given #14167 (H,wt=19): 15481 a(x,y,z) = ((y * z) * x) \ ((y * z) * R(x,y,z)). [hyper(236,a,24,a,b,15455,a),flip(a)]. given #14168 (H,wt=15): 15483 a(x * K(y * z,x),y,z) = a(x,y,z). [hyper(6789,a,15481,a(flip))]. given #14169 (H,wt=16): 15482 a(x,y,z) = L(x \ R(x,y,z),x,y * z). [hyper(236,a,105,a,b,15481,a)]. given #14170 (H,wt=17): 15485 a(x / (y * z),y,z) = a((y * z) \ x,y,z). [para(4903(a,1),15483(a,1,1))]. given #14171 (H,wt=19): 15484 ((x * y) * z) * a(z,x,y) = (x * y) * R(z,x,y). [para(15481(a,2),14(a,1,2))]. given #14172 (H,wt=20): 15487 a((x * y) \ z,x,y) * z = ((z / (x * y)) * x) * y. [para(15485(a,1),14981(a,1,1))]. given #14173 (H,wt=26): 15462 K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,y / ((1 / u) * z))). [para(14138(a,1),15408(a,1,2))]. given #14174 (H,wt=26): 15476 K(x,L(T(y,z \ u),u,z)) * u = ((z \ u) * K(x,y)) * T(z,z \ u). [hyper(8098,a,15474,a),flip(a)]. given #14175 (H,wt=24): 15490 K(x,L(T(y,z \ u),u,z)) * u = z * (K(x,T(y,u)) * (z \ u)). [hyper(236,a,15457,a(flip),b,15476,a)]. given #14176 (H,wt=25): 15491 x * (x / (y * (K(z,u) * (y \ x)))) = y * (K(u,T(z,x)) * (y \ x)). [hyper(236,a,14667,a,b,15490,a(flip)),flip(a)]. given #14177 (H,wt=25): 15492 x * K(y,x / (z * (u \ (z \ x)))) = z * (K(y,T(u,x)) * (z \ x)). [para(6027(a,2),15491(a,1,2))]. given #14178 (H,wt=27): 15359 K(x * y,L(z,x,y)) * (((z * x) * y) / u) = ((x * y) * R(z,x,y)) / u. [para(15348(a,1),14809(a,1,1))]. given #14179 (H,wt=24): 15493 K(x * y,z) * (((z * x) * y) / u) = ((x * y) * R(z,x,y)) / u. [para(14309(a,1),15359(a,1,1))]. given #14180 (H,wt=18): 15494 ((x * y) * R(z,x,y)) / z = z \ ((z * x) * y). [hyper(236,a,14952,a(flip),b,15493,a(flip))]. given #14181 (H,wt=27): 15376 K(x,L(y,x \ z,u)) \ ((x \ z) * u) = T(R(x,x \ z,u),y) \ (z * u). [para(15351(a,1),5342(a,1,1))]. given #14182 (H,wt=25): 15496 T(R(x,x \ y,z),u) \ (y * z) = K(x,L(u,y,z)) \ ((x \ y) * z). [para(11540(a,1),15376(a,1,1)),flip(a)]. given #14183 (H,wt=25): 15497 T(R(x,x \ y,z),u) \ (y * z) = K(L(u,y,z),x) * ((x \ y) * z). [hyper(236,a,5260,a(flip),b,15496,a)]. given #14184 (H,wt=25): 15498 T(R(x,x \ y,z),u) \ (y * z) = K(u,L(x,y,z)) * ((x \ y) * z). [para(11533(a,1),15497(a,2,1))]. given #14185 (H,wt=25): 15499 R(T(x,y),x \ z,u) \ (z * u) = K(y,L(x,z,u)) * ((x \ z) * u). [para(42(a,2),15498(a,1,1))]. given #14186 (H,wt=20): 15500 R(T(x,y),x \ z,u) \ (z * u) = (T(x,y) \ z) * u. [hyper(236,a,15447,a(flip),b,15499,a)]. given #14187 (H,wt=27): 15391 K(x,T((y * z) / u,u / z)) != w | K(x,L((u / z) \ y,u / z,z)) = w. [para(740(a,1),15349(a,1,2))]. given #14188 (H,wt=27): 15392 K(x,((y * z) * (z \ (u \ 1))) * u) != w | K(x,L(y,z,z \ (u \ 1))) = w. [para(14184(a,2),15349(a,1))]. given #14189 (H,wt=27): 15436 (x * y) * K(z,(x * (u * y)) / (x * y)) = (K(z,T(u,y)) * y) * T(x,y). [hyper(236,a,8231,a,b,15368,a(flip)),flip(a)]. given #14190 (H,wt=25): 15501 (x * y) * K(z,(x * (u * y)) / (x * y)) = (y * K(z,u)) * T(x,y). [hyper(236,a,8097,a(flip),b,15436,a)]. given #14191 (H,wt=27): 15459 K((x \ 1) \ (K(y,T(z,x * u)) * u),w) = K((u * K(y,z)) * T(x,u),w). [para(15456(a,1),14050(a,2,1))]. given #14192 (H,wt=28): 15356 R(x,y,z) * (K(u,R(x,y,z)) * (y * z)) = K(u,L(x,y,z)) * ((x * y) * z). [para(15348(a,1),5534(a,2,1))]. given #14193 (H,wt=28): 15399 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T((u * z) / y,y / z) \ 1). [para(740(a,1),15395(a,1,2,1)),flip(a)]. given #14194 (H,wt=28): 15404 T(x,T(y,L((z / u) / w,w,u))) = (x * v5) / (K(y,T(x,z / (w * u))) * v5). [para(15346(a,1),7326(a,1,2,1,2)),flip(a)]. given #14195 (H,wt=28): 15416 ((K(x,y) * z) * u) * a(x,z,K(u,L(y,z,u))) = (K(x,L(y,z,u)) * z) * u. [para(15367(a,1),13991(a,1,1))]. given #14196 (H,wt=25): 15506 ((K(x,y) * z) * u) * a(x,z,K(u,y)) = (K(x,L(y,z,u)) * z) * u. [para(8281(a,1),15416(a,1,2,3))]. given #14197 (H,wt=23): 15507 (K(x,L(y,z,u)) * z) * u = (K(x,y) * z) * L(u,z,K(y,x)). [hyper(236,a,14701,a(flip),b,15506,a(flip))]. given #14198 (H,wt=28): 15444 x * K(L(K(y,z),T(z,y),z \ x),x) = (T(K(y,z),x) * T(z,y)) * (z \ x). [hyper(236,a,8560,a(flip),b,15382,a(flip)),flip(a)]. given #14199 (H,wt=15): 15509 T(K(x,y),z) * T(y,x) = T(y,K(x,z)). [hyper(9170,a,15444,a),flip(a)]. given #14200 (H,wt=19): 15510 K(x,y / z) * T(z \ y,x) = T(z \ y,K(x,y)). [para(8059(a,1),15509(a,1,1))]. given #14201 (H,wt=15): 15512 T(x \ y,K(z,y)) = T(y / x,T(x,z)). [hyper(236,a,7680,a(flip),b,15510,a(flip))]. given #14202 (H,wt=19): 15513 (x \ y) / T(y / x,T(x,z)) = K(K(z,y),x \ y). [para(15512(a,1),4826(a,2,2)),flip(a)]. given #14203 (H,wt=19): 15514 (x \ y) / T(y / x,T(x,z)) = K(z,K(y,x \ y)). [hyper(236,a,7886,a(flip),b,15513,a)]. given #14204 (H,wt=19): 15515 (x \ y) / T(y / x,T(x,z)) = K(z,K(y,y / x)). [para(5304(a,2),15514(a,2,2))]. given #14205 (H,wt=17): 15516 (x \ y) / T(y / x,T(x,z)) = K(y,K(z,x)). [hyper(236,a,9231,a(flip),b,15515,a)]. given #14206 (H,wt=17): 15517 (x \ y) / T(y / x,T(x,z)) = K(x,K(y,z)). [hyper(236,a,7923,a(flip),b,15516,a)]. given #14207 (H,wt=20): 15518 (x \ y) / T(y / x,T(x,z)) != u | K(x,K(y,z)) = u. [para(15516(a,2),7939(a,1))]. given #14208 (H,wt=28): 15489 a(K(x,y) * z,y,x) * ((x * y) * z) = ((((x * y) * z) / (y * x)) * y) * x. [para(11044(a,1),15487(a,1,1,1))]. given #14209 (H,wt=28): 15503 (x * y) \ ((y * K(z,u)) * T(x,y)) != w | K(z,(x * (u * y)) / (x * y)) = w. [para(15501(a,1),283(a,1,2)),flip(b)]. given #14210 (H,wt=28): 15504 R(x,y,z) * (K(u,L(x,y,z)) * (y * z)) = K(u,L(x,y,z)) * ((x * y) * z). [para(15348(a,1),15356(a,1,2,1))]. given #14211 (H,wt=25): 15519 K(x,L(y,z,u)) * ((y * z) * u) = R(y,z,u) * ((K(x,y) * z) * u). [para(15367(a,1),15504(a,1,2)),flip(a)]. given #14212 (H,wt=22): 15520 R(x,y,z) * ((K(u,x) * y) * z) = (K(u,x) * (x * y)) * z. [hyper(236,a,15414,a(flip),b,15519,a(flip))]. given #14213 (H,wt=22): 15521 R(x,y,z) * ((K(u,x) * y) * z) = (x * (K(u,x) * y)) * z. [para(5363(a,1),15520(a,2,1))]. given #14214 (H,wt=13): 15522 R(x,K(y,x) * z,u) = R(x,z,u). [hyper(18,a,113,a,b,15521,a),flip(a)]. given #14215 (H,wt=11): 15523 R(x,T(y,x),z) = R(x,y,z). [para(1596(a,2),15522(a,1,2))]. given #14216 (H,wt=16): 15531 R(x,y,z) \ ((y * x) * z) = T(y,x) * z. [para(15523(a,1),496(a,1,1))]. given #14217 (H,wt=17): 15524 R(T(x,y),K(y,x) * z,u) = R(T(x,y),z,u). [para(3950(a,1),15522(a,1,2,1))]. given #14218 (H,wt=20): 15532 R(x,y,z) = (x * ((y * x) * z)) / (x * (T(y,x) * z)). [para(15531(a,1),1501(a,1,2,2)),flip(a)]. given #14219 (H,wt=28): 15505 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(((u * z) / y) \ 1,y / z)). [hyper(236,a,7269,a(flip),b,15399,a)]. given #14220 (H,wt=26): 15534 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(y / (u * z),y / z)). [hyper(236,a,10056,a(flip),b,15505,a)]. given #14221 (H,wt=23): 15535 K(x,T(y / (z * u),y / u)) = K(x,(u * z) \ (u * (y / u))). [hyper(6477,a,15534,a),flip(a)]. given #14222 (H,wt=29): 15389 K(L(x * K(y,x),y,z),T(u,y * z)) != w | K((y * z) \ ((y * x) * z),u) = w. [para(15370(a,1),8401(a,1))]. given #14223 (H,wt=29): 15435 K(x,L((y / z) / a(u,w,v5),y,z)) = K(x,y / (L(z,w,K(u,v5)) * a(u,w,v5))). [para(14744(a,2),15428(a,2,2,2))]. given #14224 (H,wt=29): 15475 (K(x,y) * (z \ u)) * T(z,z \ u) != w * v5 | (K(x,L(y,u,z)) * u) / v5 = w. [para(15438(a,2),586(a,1))]. given #14225 (H,wt=30): 15357 K(x,K((1 / (y \ z)) / u,L(u / y,y,y \ z))) = K(x,K(z,(1 / (y \ z)) / u)). [para(15348(a,1),10061(a,1,2))]. given #14226 (H,wt=30): 15365 K(x,L(T(y,z),K(y,x) * u,(K(y,x) * u) \ z)) = z \ (u * ((K(y,x) * u) \ z)). [hyper(236,a,7301,a(flip),b,15350,a(flip))]. given #14227 (H,wt=26): 15538 K(x,L(T(y,z),u,(K(y,x) * u) \ z)) = z \ (u * ((K(y,x) * u) \ z)). [hyper(236,a,10619,a(flip),b,15365,a(flip)),flip(a)]. given #14228 (H,wt=30): 15409 K(x,L(y,z,L(u,K(x,y),z))) \ (z * (T(K(x,y),z) * u)) = z * L(u,K(x,y),z). [hyper(72,a,11115,a(flip),b,15367,a)]. given #14229 (H,wt=30): 15432 K(x,L((y / (z \ u)) / K(w,w \ z),y,z \ u)) = K(x,y / (((w \ z) * w) \ u)). [para(11060(a,1),15428(a,2,2,2))]. given #14230 (H,wt=30): 15433 K(x,L((y / (z \ u)) / K(w \ z,w),y,z \ u)) = K(x,y / ((w * (z / w)) \ u)). [para(11131(a,1),15428(a,2,2,2))]. given #14231 (H,wt=30): 15541 K(x,L(y,z,L(u,K(x,y),z))) \ (z * (K(x,T(y,z)) * u)) = z * L(u,K(x,y),z). [para(7256(a,2),15409(a,1,2,2,1))]. given #14232 (H,wt=30): 15542 K(x,L((y / (z \ u)) * K(w \ z,w),y,z \ u)) = K(x,y / (((w \ z) * w) \ u)). [para(7547(a,1),15432(a,1,2,1))]. given #14233 (H,wt=30): 15543 K(x,L((y / (z \ u)) * K(w,w \ z),y,z \ u)) = K(x,y / ((w * (z / w)) \ u)). [para(7547(a,1),15433(a,1,2,1))]. given #14234 (H,wt=30): 15544 K(L(x,y,L(z,K(u,x),y)),u) * (y * (K(u,T(x,y)) * z)) = y * L(z,K(u,x),y). [hyper(5286,a,15541,a)]. given #14235 (H,wt=30): 15545 K(x,L(y,z,L(u,K(y,x),z))) * (z * (K(y,T(x,z)) * u)) = z * L(u,K(y,x),z). [para(11533(a,1),15544(a,1,1))]. given #14236 (H,wt=31): 15419 x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,y \ x)). [hyper(7848,a,15378,a)]. given #14237 (H,wt=31): 15454 (R(x,y,z) * u) * K(x * u,x \ R(x,y,z)) = (x * u) * R(x \ R(x,y,z),x,u). [para(3690(a,1),15452(a,1,1,1))]. given #14238 (H,wt=31): 15464 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(236,a,11692,a,b,15460,a(flip)),flip(a)]. given #14239 (H,wt=24): 15547 T(x * T(y,K(z,u)),K(z,L(u,y,x))) = y * T(x,K(z,u) * y). [para(11982(a,1),15464(a,1,1))]. given #14240 (H,wt=24): 15548 T(x * T(y,K(z,u)),K(u,L(z,y,x))) = y * T(x,K(u,z) * y). [para(7981(a,1),15547(a,1,1,2))]. given #14241 (H,wt=25): 15549 x \ ((y * T(x,K(z,u))) * K(z,K(u,y * x))) = T(y,K(u,z) * x). [hyper(15187,a,15548,a)]. given #14242 (H,wt=29): 15550 x \ ((y * T(x,K(z,u))) * (K(u,T(z,y * x)) * K(z,u))) = T(y,K(u,z) * x). [para(8038(a,2),15549(a,1,2,2))]. given #14243 (H,wt=29): 15551 x \ (((y * T(x,K(z,u))) * K(z,u)) * K(u,T(z,y * x))) = T(y,K(u,z) * x). [para(9020(a,2),15550(a,1,2))]. given #14244 (H,wt=31): 15502 x * K(y,(z * (u * (z \ x))) / (z * (z \ x))) = ((z \ x) * K(y,u)) * T(z,z \ x). [hyper(515,a,15501,a)]. given #14245 (H,wt=27): 15553 ((x \ y) * K(z,u)) * T(x,x \ y) = y * K(z,(x * (u * (x \ y))) / y). [para(14(a,1),15502(a,1,2,2,2)),flip(a)]. given #14246 (H,wt=25): 15554 x * K(y,(z * (u * (z \ x))) / x) = z * (K(y,T(u,x)) * (z \ x)). [hyper(236,a,15457,a(flip),b,15553,a(flip))]. given #14247 (H,wt=28): 15555 x * (K(y,T(z,u)) * (x \ u)) != u * w | K(y,(x * (z * (x \ u))) / u) = w. [para(15554(a,1),19(a,1))]. given #14248 (H,wt=31): 15533 R(T(x,y),z,(K(y,x) * z) \ K(y,x)) = ((x * z) * L(z \ 1,z,K(y,x))) / K(y,x). [hyper(236,a,5384,a(flip),b,15524,a(flip))]. given #14249 (H,wt=31): 15536 K(x,T(y / (z * (z \ u)),y / (z \ u))) = K(x,T(u,z) \ ((z \ u) * (y / (z \ u)))). [hyper(236,a,13142,a(flip),b,15535,a)]. given #14250 (H,wt=27): 15557 K(x,T(y / z,y / (u \ z))) = K(x,T(z,u) \ ((u \ z) * (y / (u \ z)))). [para(14(a,1),15536(a,1,2,1,2))]. given #14251 (H,wt=31): 15556 R(T(x,y),z,(K(y,x) * z) \ K(y,x)) = ((x * z) * L(z \ 1,z,K(y,x))) * K(x,y). [hyper(236,a,7547,a(flip),b,15533,a)]. given #14252 (H,wt=25): 15558 ((x * y) * L(y \ 1,y,K(z,x))) * K(x,z) = R(T(x,z),y,y \ 1). [para(14513(a,1),15556(a,1,3)),flip(a)]. given #14253 (H,wt=20): 15560 ((x * y) * (y \ 1)) * K(x,z) = R(T(x,z),y,y \ 1). [para(14524(a,1),15558(a,1,1,2))]. given #14254 (H,wt=19): 15561 R(x,y,y \ 1) * K(x,z) = R(T(x,z),y,y \ 1). [para(189(a,1),15560(a,1,1))]. given #14255 (H,wt=25): 15563 T(R(x,y,y \ 1) / x,T(x,z)) = T(x,z) \ R(T(x,z),y,y \ 1). [hyper(394,a,15561,a(flip),b,6200,a)]. given #14256 (H,wt=23): 15564 T(x,y) \ R(T(x,y),z,z \ 1) = T(a(x,z,z \ 1),T(x,y)). [para(3692(a,1),15563(a,1,1)),flip(a)]. given #14257 (H,wt=19): 15565 T(x,y) \ R(T(x,y),z,z \ 1) = a(x,z,z \ 1). [hyper(236,a,13885,a(flip),b,15564,a)]. given #14258 (H,wt=15): 15566 a(T(x,y),z,z \ 1) = a(x,z,z \ 1). [hyper(690,a,15565,a)]. given #14259 (H,wt=17): 15569 a(x / y,z,z \ 1) = a(y \ x,z,z \ 1). [para(121(a,1),15566(a,1,1)),flip(a)]. given #14260 (H,wt=20): 15570 a(x * y,z,z \ 1) != u | a(y * x,z,z \ 1) = u. [para(15566(a,1),13598(a,1))]. given #14261 (H,wt=21): 15568 a(L(T(x,y),z,u),w,w \ 1) = a(L(x,z,u),w,w \ 1). [para(40(a,2),15566(a,1,1))]. given #14262 (H,wt=26): 15571 a(R(x,x \ y,z),u,u \ 1) = a(((x \ y) * z) \ (y * z),u,u \ 1). [para(110(a,2),15569(a,1,1))]. given #14263 (H,wt=26): 15572 a(L(x,x \ y,z),u,u \ 1) = a((z * (x \ y)) \ (z * y),u,u \ 1). [para(269(a,1),15568(a,1,1)),flip(a)]. given #14264 (H,wt=32): 15423 K(x,T(L((y / z) / u,u,z),w)) = ((w * x) / w) / ((w * (x * K(y / (u * z),x))) / w). [para(15388(a,1),9124(a,1,2,1,2,2)),flip(a)]. given #14265 (H,wt=22): 15573 K(x,T(L((y / z) / u,u,z),w)) = K(x,T(y / (u * z),w)). [hyper(236,a,9124,a(flip),b,15423,a)]. given #14266 (H,wt=22): 15574 L(K(x,T((y / z) / u,w)),u,z) = K(x,T(y / (u * z),w)). [hyper(11509,a,15573,a)]. given #14267 (H,wt=32): 15495 x \ (((y * x) * R(R(x,z,u),y,x)) / R(x,z,u)) = R(x,z,u) \ T(R(x,z,u) * y,x). [hyper(72,a,15494,a,b,1502,a)]. given #14268 (H,wt=24): 15575 R(x,y,z) \ T(R(x,y,z) * u,x) = x \ ((u * x) * a(x,u,x)). [para(13803(a,1),15495(a,1,2)),flip(a)]. given #14269 (H,wt=21): 15576 R(x,y,z) \ T(R(x,y,z) * u,x) = x \ T(x * u,x). [para(11414(a,1),15575(a,2,2))]. given #14270 (H,wt=23): 15578 R(x,y,z) \ ((R(x,y,z) * u) * x) = x * (x \ T(x * u,x)). [para(15576(a,1),1502(a,1,2)),flip(a)]. given #14271 (H,wt=19): 15579 R(x,y,z) \ ((R(x,y,z) * u) * x) = T(x * u,x). [hyper(236,a,14,a(flip),b,15578,a)]. given #14272 (H,wt=20): 15581 x * K(x * (y \ R(y,z,u)),y) = T(y * (y \ x),y). [hyper(236,a,15029,a(flip),b,15579,a(flip)),flip(a)]. given #14273 (H,wt=16): 15583 x * K(x * (y \ R(y,z,u)),y) = T(x,y). [para(14(a,1),15581(a,2,1))]. given #14274 (H,wt=16): 15584 K(x,y * (x \ R(x,z,u))) = T(y,x) \ y. [para(15583(a,1),7549(a,1,1)),flip(a)]. given #14275 (H,wt=14): 15585 K(x,y * (x \ R(x,z,u))) = K(x,y). [hyper(236,a,4821,a,b,15584,a)]. given #14276 (H,wt=16): 15586 T(x,y * (x \ R(x,z,u))) = x * K(x,y). [para(15585(a,1),4887(a,2,2))]. given #14277 (H,wt=14): 15587 K(x,R(x,y,z) * (x \ u)) = K(x,u). [hyper(14655,a,15586,a)]. given #14278 (H,wt=14): 15588 K(x,R(x,y,z) * u) = K(x,x * u). [para(13(a,1),15587(a,1,2,2))]. given #14279 (H,wt=33): 15488 ((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(7281(a,1),15484(a,1,1,1))]. given #14280 (H,wt=31): 15591 ((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(14787(a,1),15488(a,1,2))]. given #14281 (H,wt=24): 15592 (x * K(y,T(z,x))) * R(u,x,K(y,T(z,x))) = K(y,z) * (x * u). [hyper(236,a,14657,a(flip),b,15591,a(flip))]. given #14282 (H,wt=22): 15593 (K(x,y) * z) * R(u,z,K(x,T(y,z))) = K(x,y) * (z * u). [para(7281(a,1),15592(a,1,1))]. given #14283 (H,wt=15): 15594 R(x,y,K(z,T(u,y))) = L(x,y,K(z,u)). [hyper(436,a,15593,a),flip(a)]. given #14284 (H,wt=13): 15596 R(x,y,K(z,u)) = L(x,y,K(z,u)). [hyper(236,a,10684,a(flip),b,15594,a(flip)),flip(a)]. given #14285 (H,wt=11): 15607 R(x,y,K(y,z)) != u | u = x. [para(15596(a,2),3980(a,1))]. given #14286 (H,wt=15): 15601 x * a(x,y,K(z,u)) = R(x,y,K(z,u)). [hyper(236,a,14672,a,b,15596,a),flip(a)]. given #14287 (H,wt=16): 15611 R(x,y,K(z,u)) != w | L(x,y,K(z,u)) = w. [para(15601(a,1),14709(a,1))]. given #14288 (H,wt=19): 15609 R(x,y,a(z,u,K(w,v5))) = L(x,y,K(a(z,u,w),v5)). [para(13871(a,2),15596(a,1,3))]. given #14289 (H,wt=19): 15612 R(x,y,a(z,u,K(w,v5))) = L(x,y,a(z,u,K(w,v5))). [para(13871(a,2),15609(a,2,3))]. given #14290 (H,wt=20): 15595 (K(x,y) * z) * R(u,z,K(x,y)) = K(x,y) * (z * u). [para(10684(a,1),15593(a,1,2))]. given #14291 (H,wt=20): 15600 L((x * K(y,z)) / u,u,K(z,y)) = x / (u * K(z,y)). [hyper(7580,a,15596,a),flip(a)]. given #14292 (H,wt=20): 15604 L(x,y,K(z,u)) * (y * K(z,u)) = (x * y) * K(z,u). [para(15596(a,1),113(a,1,1))]. given #14293 (H,wt=22): 15598 L(x,y,K(z,u)) * (K(z,u) * y) = (x * y) * K(z,T(u,y)). [para(15594(a,1),7356(a,1,1))]. given #14294 (H,wt=22): 15603 L(x \ (y / K(z,u)),x,K(z,u)) = T(y / (x * K(z,u)),x). [hyper(236,a,632,a(flip),b,15596,a(flip))]. given #14295 (H,wt=21): 15617 T(x / (y * K(z,u)),y) = (K(z,u) * y) \ T(x,K(z,u)). [hyper(236,a,8253,a(flip),b,15603,a(flip))]. given #14296 (H,wt=22): 15605 L(x,x \ y,K(z,u)) \ (y * K(z,u)) = (x \ y) * K(z,u). [para(15596(a,1),463(a,1,1))]. given #14297 (H,wt=20): 15619 L(x,y,K(z,u)) \ (y * K(z,u)) = (x \ y) * K(z,u). [para(14722(a,1),15605(a,1,1))]. given #14298 (H,wt=23): 15606 L(x,y,K(z,u)) * (y * K(z,u)) != w | (x * y) * K(z,u) = w. [para(15596(a,1),225(a,1,1))]. given #14299 (H,wt=23): 15614 (x * y) * K(z,u) != w * (y * K(z,u)) | L(x,y,K(z,u)) = w. [para(15604(a,1),20(a,1))]. given #14300 (H,wt=24): 15599 L(R(x,y,z * u),y * (z * u),K(z,u)) = R(x,y,T(z,u) * u). [hyper(11273,a,15596,a),flip(a)]. given #14301 (H,wt=24): 15613 L(x,y \ 1,K(z,u)) * (y \ K(z,u)) = (x * (y \ 1)) * K(z,u). [hyper(14167,a,15604,a)]. given #14302 (H,wt=24): 15620 L(x,y,K(z,z \ y)) \ (z * (y / z)) = (x \ y) * K(z,z \ y). [para(5079(a,1),15619(a,1,2))]. given #14303 (H,wt=17): 15624 (x \ y) * K(z,z \ y) = x \ (z * (y / z)). [para(11110(a,1),15620(a,1,1)),flip(a)]. given #14304 (H,wt=25): 15597 (K(x,y) * z) * R(u,z,K(x,T(y,z))) != w | K(x,y) * (z * u) = w. [para(15594(a,2),219(a,1,2))]. given #14305 (H,wt=25): 15615 (a(x,y,y \ 1) * z) * K(u,w) = a(x,y,y \ 1) * (z * K(u,w)). [para(14678(a,1),15604(a,1,1)),flip(a)]. given #14306 (H,wt=15): 15625 K(x,L(y,z,a(u,w,w \ 1))) = K(x,y). [hyper(11579,a,15615,a)]. given #14307 (H,wt=26): 15608 L(x,x \ y,K(z,z \ y)) \ (z * (y / z)) = (x \ y) * K(z,z \ y). [para(15596(a,1),5331(a,1,1))]. given #14308 (H,wt=26): 15621 L(x,y \ z,K(y,z)) \ (K(y,z) * (y \ z)) = (x \ (y \ z)) * K(y,z). [para(7158(a,2),15619(a,1,2))]. given #14309 (H,wt=19): 15626 x \ (K(y,z) * (y \ z)) = (x \ (y \ z)) * K(y,z). [para(13507(a,1),15621(a,1,1))]. given #14310 (H,wt=25): 15627 T(x,(1 / y) * (K(z,u) * (z \ u))) = T(x,(y \ (z \ u)) * K(z,u)). [para(15626(a,1),14239(a,2,2))]. given #14311 (H,wt=27): 15623 R(R(x,y,z) / x,x,T(y,z) * z) = L(a(x,y,z),x * (y * z),K(y,z)). [para(14978(a,2),15599(a,1,1)),flip(a)]. given #14312 (H,wt=20): 15628 L(a(x,y,z),x * (y * z),K(y,z)) = a(x,T(y,z),z). [hyper(236,a,14983,a(flip),b,15623,a(flip))]. given #14313 (H,wt=14): 15629 a(x,T(y,z),z) != u | a(x,y,z) = u. [para(15628(a,1),14778(a,1))]. given #14314 (H,wt=23): 15630 K(x * R(y,z,u),y) * K(y,x) != w | a(y,x,R(y,z,u)) = w. [para(10309(a,1),15629(a,1))]. given #14315 (H,wt=28): 15618 L(x,x \ T(y,z),K(u,y)) \ (K(u,y) * T(y,z)) = (x \ T(y,z)) * K(u,y). [para(3145(a,1),15605(a,1,2))]. given #14316 (H,wt=19): 15631 x \ (K(y,z) * T(z,u)) = (x \ T(z,u)) * K(y,z). [para(14723(a,1),15618(a,1,1))]. given #14317 (H,wt=30): 15602 L(x / (K(y,z) \ u),K(y,z) \ u,K(y,z)) = (x * T(K(y,z),K(y,z) \ u)) / u. [hyper(236,a,10726,a(flip),b,15596,a(flip))]. given #14318 (H,wt=30): 15622 ((K(x,y) * z) \ u) * (z * K(x,y)) != w | ((z \ (K(y,x) * u)) * z) * K(x,y) = w. [para(5276(a,1),15606(a,1,1))]. given #14319 (H,wt=30): 15632 L(x / (K(y,z) \ u),K(y,z) \ u,K(y,z)) = (x * T(K(y,z),K(z,y) * u)) / u. [para(5260(a,1),15602(a,2,1,2,2))]. given #14320 (H,wt=30): 15633 L(x / (K(y,z) \ u),K(y,z) \ u,K(y,z)) = (x * K(y,T(z,K(z,y) * u))) / u. [para(7256(a,2),15632(a,2,1,2))]. given #14321 (H,wt=26): 15634 L(x / (K(y,z) \ u),K(y,z) \ u,K(y,z)) = (x * K(y,T(z,u))) / u. [para(7409(a,1),15633(a,2,1,2,2))]. given #14322 (H,wt=26): 15635 L(x / (K(y,z) * u),K(z,y) \ u,K(z,y)) = (x * K(z,T(y,u))) / u. [para(5260(a,1),15634(a,1,1,2))]. given #14323 (H,wt=33): 15552 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(7980(a,2),15551(a,1,2,2,2))]. given #14324 (H,wt=33): 15616 (x * (K(y,z) * u)) \ ((x * u) * K(y,T(z,u))) = ((K(y,z) * u) * x) \ (K(y,z) * (u * x)). [para(15598(a,1),14599(a,1,2))]. given #14325 (H,wt=34): 15420 K(((x \ y) * x) / z,T(u,x \ y)) != w | y \ (x * (K((x \ y) / (z / x),u) * (x \ y))) = w. [para(15378(a,1),7848(a,1))]. given #14326 (H,wt=34): 15610 ((x / (y * z)) * (y * T(z,u))) * ((y * K(z,u)) \ y) = y * L(y \ x,y * K(z,u),K(u,z)). [para(15596(a,1),15201(a,2,2))]. given #14327 (H,wt=35): 15410 x \ ((K(K(y,L(z,u,x)),u * x) * w) / (((u * x) * K(y,L(z,u,x))) \ w)) = T(K(y,z) * u,x). [hyper(394,a,11068,a,b,15367,a(flip)),flip(a)]. given #14328 (H,wt=35): 15640 x \ ((K(y,K(L(z,u,x),u * x)) * w) / (((u * x) * K(y,L(z,u,x))) \ w)) = T(K(y,z) * u,x). [para(7886(a,1),15410(a,1,2,1,1))]. given #14329 (H,wt=37): 15415 K(((K(x,y) * z) * u) \ (K(x,L(y,z,u)) * w),v5) != v6 | K((z * u) \ w,L(v5,w,K(x,L(y,z,u)))) = v6. [para(15367(a,1),11591(a,1,1,1))]. given #14330 (H,wt=37): 15458 K((x * (K(y,T(z,x * (u \ 1))) * (1 / u))) \ w,v5) = K((((u \ 1) * K(y,z)) * T(x,u \ 1)) \ w,v5). [para(15456(a,1),5743(a,2,1,1))]. given #14331 (H,wt=37): 15546 (R(x,y,z) * T(u,x)) * K(u * x,x \ R(x,y,z)) = (x * T(u,x)) * R(x \ R(x,y,z),x,T(u,x)). [para(119(a,1),15454(a,1,2,1))]. given #14332 (H,wt=35): 15641 (R(x,y,z) * T(u,x)) * K(u * x,x \ R(x,y,z)) = (u * x) * R(x \ R(x,y,z),x,T(u,x)). [para(119(a,1),15546(a,2,1))]. given #14333 (H,wt=33): 15642 (R(x,y,z) * T(u,x)) * K(u * x,x \ R(x,y,z)) = (u * x) * R(x \ R(x,y,z),x,u). [para(10675(a,1),15641(a,2,2))]. given #14334 (H,wt=39): 15342 T(x * (a(y,z,u) \ 1),L(x,a(y,z,u) \ 1,a(y,z,u))) = a(y,z,u) \ R(x,a(y,z,u) \ 1,a(y,z,u)). [hyper(236,a,13910,a(flip),b,15341,a(flip))]. given #14335 (H,wt=28): 15643 T(x * (a(y,z,u) \ 1),x) = a(y,z,u) \ R(x,a(y,z,u) \ 1,a(y,z,u)). [hyper(14708,a,15342,a)]. given #14336 (H,wt=24): 15644 T(x * (a(y,z,u) \ 1),x) = T(x * (1 / a(y,z,u)),a(y,z,u)). [hyper(236,a,2803,a(flip),b,15643,a)]. given #14337 (H,wt=24): 15645 T(x * (a(y,z,u) \ 1),a(y,z,u)) = T(x * (a(y,z,u) \ 1),x). [para(12738(a,1),15644(a,2,1,2)),flip(a)]. given #14338 (H,wt=24): 15646 T(x * (a(y,z,u) \ 1),x) = L(x * (a(y,z,u) \ 1),z,K(u,y)). [hyper(14749,a,15645,a),flip(a)]. given #14339 (H,wt=39): 15427 K(K(x,L(T(y,z),z,u)),(z * K(x,y)) * u) != w | K((z * u) \ ((z * K(x,y)) * u),(z * K(x,y)) * u) = w. [para(15360(a,1),6502(a,1,1))]. given #14340 (H,wt=40): 15422 K(L((x / K(y,L(z,u / z,w))) / (w * u),w * u,K(y,L(z,u / z,w))),v5) = K(x / (w * (u * K(y,z))),v5). [para(6586(a,1),15388(a,2,1,2))]. given #14341 (H,wt=38): 15647 K(L((x / K(y,L(z,u,w))) / (w * u),w * u,K(y,L(z,u / z,w))),v5) = K(x / (w * (u * K(y,z))),v5). [para(11484(a,1),15422(a,1,1,1,1,2))]. given #14342 (H,wt=38): 15648 K(L((x * K(L(y,z,u),w)) / (u * z),u * z,K(w,L(y,z / y,u))),v5) = K(x / (u * (z * K(w,y))),v5). [para(7547(a,1),15647(a,1,1,1,1))]. given #14343 (H,wt=38): 15649 K(L((x * K(y,L(z,u,w))) / (w * u),w * u,K(z,L(y,u / y,w))),v5) = K(x / (w * (u * K(z,y))),v5). [para(11533(a,1),15648(a,1,1,1,1,2))]. given #14344 (H,wt=40): 15443 ((x * y) / R(z,z \ x,y)) * R(R(z,z \ x,y),u,u \ 1) = R(R(z,z \ x,y),u,u \ 1) * ((z \ x) * y). [para(463(a,1),15425(a,1,2)),flip(a)]. given #14345 (H,wt=38): 15650 ((x * y) / R(z,z \ x,y)) * R(R(z,z \ x,y),u,u \ 1) != w | (R(z,u,u \ 1) * (z \ x)) * y = w. [para(15443(a,2),776(a,1))]. given #14346 (H,wt=40): 15450 K(T(x \ y,K(z,x)) / ((u \ 1) * K(x \ z,x)),w) = K(((z / (z / x)) \ y) * u,L(w,u \ 1,K(x \ z,x))). [para(9507(a,1),15417(a,1,1,1))]. given #14347 (H,wt=40): 15651 K(T(x \ y,K(x,z)) / ((u \ 1) * K(x \ z,x)),w) = K(((z / (z / x)) \ y) * u,L(w,u \ 1,K(x \ z,x))). [para(7981(a,1),15450(a,1,1,1))]. given #14348 (H,wt=38): 15652 K(T(x \ y,K(x,z)) / (u \ K(x \ z,x)),w) = K(((z / (z / x)) \ y) * u,L(w,u \ 1,K(x \ z,x))). [para(14046(a,1),15651(a,1,1,2))]. given #14349 (H,wt=41): 15537 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(6020(a,1),15535(a,2,2,1))]. given #14350 (H,wt=33): 15653 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),15537(a,1,2,1,2))]. given #14351 (H,wt=41): 15638 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(7591(a,2),15552(a,1,2,2))]. given #14352 (H,wt=21): 15654 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(u,z) * x). [para(5959(a,2),15638(a,1,2))]. given #14353 (H,wt=21): 15657 x \ T(y * T(x,K(z,u)),K(u,z)) = T(y,K(z,u) * x). [para(7981(a,1),15654(a,1,2,1,2))]. given #14354 (H,wt=21): 15659 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z,u) * x). [para(7981(a,1),15657(a,1,2))]. given #14355 (H,wt=15): 15661 T(x,K(y,z) * u) = T(x,K(z,y) * u). [hyper(236,a,15654,a(flip),b,15659,a(flip))]. given #14356 (H,wt=17): 15664 T(x,K(y,z * y) * u) = T(x,K(z,y) * u). [hyper(13181,a,15661,a),flip(a)]. given #14357 (H,wt=17): 15665 T(x,K(y,y * z) * u) = T(x,K(z,y) * u). [hyper(13071,a,15661,a),flip(a)]. given #14358 (H,wt=17): 15666 T(x,K(y,y \ z) * u) = T(x,K(z,y) * u). [hyper(236,a,13106,a(flip),b,15661,a)]. given #14359 (H,wt=17): 15667 x \ T(x,K(y,z) * u) = K(x,K(z,y) * u). [hyper(72,a,15661,a,b,4887,a(flip))]. given #14360 (H,wt=15): 15675 K(x,K(y,z) * u) = K(x,K(z,y) * u). [hyper(4956,a,15667,a)]. given #14361 (H,wt=15): 15679 K(x,K(y,z) \ u) = K(x,K(y,z) * u). [para(5260(a,2),15675(a,1,2))]. given #14362 (H,wt=15): 15685 K(x,K(y,z) \ u) = K(x,K(z,y) \ u). [para(5260(a,2),15679(a,2,2))]. given #14363 (H,wt=17): 15669 T(x,K(y,z) * (z * u)) = T(x,T(z,y) * u). [para(4906(a,1),15661(a,1,2)),flip(a)]. given #14364 (H,wt=17): 15670 T(x,K(y,z) * (y \ u)) = T(x,T(y,z) \ u). [para(5204(a,1),15661(a,1,2)),flip(a)]. given #14365 (H,wt=17): 15673 T(x,K(y,z) * (z / u)) = T(x,T(z,y) / u). [para(14465(a,1),15661(a,1,2)),flip(a)]. given #14366 (H,wt=17): 15677 K(x,K(y,y \ z) * u) = K(x,K(z,y) * u). [hyper(13176,a,15675,a),flip(a)]. given #14367 (H,wt=17): 15680 K(x,K(y,z) * (y \ u)) = K(x,T(y,z) \ u). [para(5204(a,1),15675(a,1,2)),flip(a)]. given #14368 (H,wt=17): 15684 K(x,K(y,z) * (z / u)) = K(x,T(z,y) / u). [para(14465(a,1),15675(a,1,2)),flip(a)]. given #14369 (H,wt=17): 15686 K(x,K(y,y \ z) \ u) = K(x,K(z,y) \ u). [hyper(236,a,13140,a(flip),b,15685,a)]. given #14370 (H,wt=17): 15687 T(x,((y * z) / y) * u) = T(x,T(z,y) * u). [para(5523(a,1),15669(a,1,2))]. given #14371 (H,wt=15): 15694 T(x,T(T(y,z),z) * u) = T(x,y * u). [para(163(a,1),15687(a,1,2,1)),flip(a)]. given #14372 (H,wt=17): 15688 T(x,T(y \ z,y) \ u) = T(x,(z / y) \ u). [para(5507(a,1),15670(a,1,2)),flip(a)]. given #14373 (H,wt=17): 15690 K(x,K(y,z) * (z \ u)) = K(x,T(z,y) \ u). [hyper(236,a,15675,a,b,15680,a(flip)),flip(a)]. given #14374 (H,wt=17): 15691 K(x,((y * z) / y) \ u) = K(x,T(z,y) \ u). [para(5179(a,2),15680(a,1,2))]. given #14375 (H,wt=17): 15692 K(x,T(y \ z,y) \ u) = K(x,(z / y) \ u). [para(5507(a,1),15680(a,1,2)),flip(a)]. given #14376 (H,wt=17): 15700 K(x,T(y \ z,z) \ u) = K(x,(z / y) \ u). [hyper(13209,a,15692,a)]. given #14377 (H,wt=18): 15676 K(x,K(y,z) * u) != w | K(x,K(z,y) * u) = w. [para(15667(a,1),4956(a,1))]. given #14378 (H,wt=19): 15668 T(x,K(y,z) * T(u,K(z,y))) = T(x,u * K(z,y)). [para(119(a,1),15661(a,1,2)),flip(a)]. given #14379 (H,wt=15): 15702 T(x,y * K(z,u)) = T(x,y * K(u,z)). [para(7990(a,1),15668(a,1,2))]. given #14380 (H,wt=17): 15703 x / T(x,y * K(z,u)) = K(y * K(u,z),x). [para(15702(a,1),4826(a,2,2)),flip(a)]. given #14381 (H,wt=15): 15705 K(x * K(y,z),u) = K(x * K(z,y),u). [hyper(4928,a,15703,a)]. given #14382 (H,wt=17): 15704 T(x,(y / z) * K(z,u)) = T(x,y / T(z,u)). [para(7555(a,1),15702(a,1,2)),flip(a)]. given #14383 (H,wt=15): 15709 T(x,(y / z) * K(z,y)) = T(x,z \ y). [hyper(236,a,12997,a(flip),b,15704,a)]. given #14384 (H,wt=15): 15712 T(x,(y * K(z,y)) / z) = T(x,z \ y). [para(6223(a,2),15709(a,1,2))]. given #14385 (H,wt=13): 15713 T(x,y \ T(z,y)) = T(x,z / y). [para(4901(a,1),15712(a,1,2,1)),flip(a)]. given #14386 (H,wt=17): 15707 K((x / y) * K(y,z),u) = K(x / T(y,z),u). [para(7555(a,1),15705(a,1,1)),flip(a)]. given #14387 (H,wt=17): 15708 K((x \ y) * K(z,y),u) = K(x \ T(y,z),u). [para(14432(a,1),15705(a,1,1)),flip(a)]. given #14388 (H,wt=15): 15716 K(x \ T(y,z),x) = K(x \ y,T(x,z)). [hyper(14268,a,15708,a),flip(a)]. given #14389 (H,wt=17): 15710 T(x,y / ((z * u) / z)) = T(x,y / T(u,z)). [para(6359(a,2),15704(a,1,2))]. given #14390 (H,wt=17): 15715 K(x / T(y \ z,y),u) = K(x / (z / y),u). [para(6360(a,1),15707(a,1,1)),flip(a)]. given #14391 (H,wt=17): 15717 K(x \ (y * K(z,y)),u) = K(x \ T(y,z),u). [para(14225(a,2),15708(a,1,1))]. given #14392 (H,wt=15): 15727 K(x \ T(T(y,z),z),u) = K(x \ y,u). [para(4901(a,1),15717(a,1,1,2)),flip(a)]. given #14393 (H,wt=17): 15728 K(x,y \ T(T(z,u),u)) = 1 / K(y \ z,x). [para(15727(a,1),5102(a,1,2)),flip(a)]. given #14394 (H,wt=15): 15729 K(x,y \ T(T(z,u),u)) = K(x,y \ z). [hyper(236,a,5102,a(flip),b,15728,a)]. given #14395 (H,wt=16): 15733 K(x,y \ z) != u | K(x,T(z,y) / y) = u. [para(15729(a,1),13148(a,1))]. given #14396 (H,wt=17): 15730 K(x,y \ T(z \ u,z)) = K(x,y \ (u / z)). [para(121(a,1),15729(a,1,2,2,1))]. given #14397 (H,wt=17): 15732 K(x,y \ (z * K(u,z))) = K(x,y \ T(z,u)). [para(4853(a,1),15729(a,1,2,2,1)),flip(a)]. given #14398 (H,wt=17): 15735 K(x,(y \ z) \ K(u,y)) = K(x,z \ T(y,u)). [hyper(6614,a,15732,a)]. given #14399 (H,wt=18): 15706 K(x * K(y,z),u) != w | K(x * K(z,y),u) = w. [para(15703(a,1),4928(a,1))]. given #14400 (H,wt=18): 15718 K(x \ T(y,z),x) != u | K(x \ y,T(x,z)) = u. [para(15708(a,1),14268(a,1))]. given #14401 (H,wt=19): 15671 T(x,K(y,z) * ((z * y) \ u)) = T(x,(y * z) \ u). [para(11048(a,1),15661(a,1,2)),flip(a)]. given #14402 (H,wt=17): 15738 T(x,(T(y,z) * z) \ u) = T(x,(z * y) \ u). [para(11148(a,1),15671(a,1,2))]. given #14403 (H,wt=19): 15696 T(T(x,K(y,z)),z * y) = T(x,y * T(T(z,u),u)). [hyper(13165,a,15694,a),flip(a)]. given #14404 (H,wt=15): 15739 T(x,y * T(T(z,u),u)) = T(x,y * z). [hyper(13095,a,15696,a),flip(a)]. given #14405 (H,wt=17): 15740 T(x,y * ((z * u) / z)) = T(x,y * T(u,z)). [para(162(a,1),15739(a,1,2,2,1)),flip(a)]. given #14406 (H,wt=19): 15726 K(x / (((y \ z) \ z) \ z),u) = K(x / (z / y),u). [para(4108(a,1),15715(a,1,1,2))]. given #14407 (H,wt=17): 15744 K(x / T(y \ z,z),u) = K(x / (z / y),u). [hyper(236,a,13390,a(flip),b,15726,a(flip)),flip(a)]. given #14408 (H,wt=17): 15745 K(x / (y / (y / z)),u) = K(x / T(z,y),u). [para(65(a,1),15744(a,1,1,2,1)),flip(a)]. given #14409 (H,wt=19): 15734 T(x,y \ T(z \ u,z)) = x * K(x,y \ (u / z)). [para(15730(a,1),4887(a,2,2))]. given #14410 (H,wt=19): 15741 T(x,y * T(z,z \ u)) = T(x,y * (u / (u / z))). [para(4202(a,1),15739(a,1,2,2,1))]. given #14411 (H,wt=17): 15748 T(x,y * (z / (z / u))) = T(x,y * T(u,z)). [hyper(236,a,13010,a(flip),b,15741,a(flip))]. given #14412 (H,wt=17): 15749 T(x,y * T(z \ u,u)) = T(x,y * (u / z)). [para(62(a,1),15748(a,1,2,2,2)),flip(a)]. given #14413 (H,wt=19): 15742 T(x,y * ((z * u) / z)) = x * K(x,y * T(u,z)). [hyper(236,a,4887,a(flip),b,15740,a)]. given #14414 (H,wt=17): 15750 K(x,y * ((z * u) / z)) = K(x,y * T(u,z)). [hyper(4954,a,15742,a)]. given #14415 (H,wt=17): 15751 K(x,y * T(z \ u,z)) = K(x,y * (u / z)). [para(14(a,1),15750(a,1,2,2,1)),flip(a)]. given #14416 (H,wt=17): 15753 K(x,y * (T(z,u) \ u)) = K(x,y * (u / z)). [hyper(236,a,13213,a(flip),b,15751,a(flip)),flip(a)]. given #14417 (H,wt=17): 15756 K(x,y * (z \ T(u,z))) = K(x,y * (u / z)). [para(4117(a,1),15753(a,1,2,2))]. given #14418 (H,wt=19): 15743 K(x * ((y * z) / y),u) = u / T(u,x * T(z,y)). [para(15740(a,1),4826(a,2,2))]. given #14419 (H,wt=17): 15758 K(x * ((y * z) / y),u) = K(x * T(z,y),u). [hyper(236,a,4826,a,b,15743,a)]. given #14420 (H,wt=19): 15754 K(x,y * (z / (z / u))) = K(x,y * ((u \ z) \ z)). [para(4168(a,1),15751(a,1,2,2)),flip(a)]. given #14421 (H,wt=17): 15761 K(x,y * (z / (z / u))) = K(x,y * T(u,z)). [hyper(236,a,13053,a(flip),b,15754,a)]. given #14422 (H,wt=17): 15762 K(x,y * T(z \ u,u)) = K(x,y * (u / z)). [para(62(a,1),15761(a,1,2,2,2)),flip(a)]. given #14423 (H,wt=20): 15672 T(x,K(y,z * y) * u) != w | T(x,K(z,y) * u) = w. [para(15661(a,1),13181(a,1))]. given #14424 (H,wt=20): 15683 K(x,K(y,y \ z) * u) != w | K(x,K(z,y) * u) = w. [para(15675(a,1),13176(a,1))]. given #14425 (H,wt=20): 15699 K(x,(L(y,z,y) * z) \ u) = K(x,T(z * y,y) \ u). [para(4233(a,1),15691(a,1,2,1))]. given #14426 (H,wt=17): 15764 K(x,T(y * z,z) \ u) = K(x,(z * y) \ u). [hyper(236,a,13187,a(flip),b,15699,a(flip))]. given #14427 (H,wt=17): 15766 K(x,(y * (z / y)) \ u) = K(x,T(z,y) \ u). [para(16(a,1),15764(a,1,2,1,1)),flip(a)]. given #14428 (H,wt=19): 15767 K(x,(y * ((y * z) / y)) \ u) = K(x,(z * y) \ u). [hyper(236,a,13100,a(flip),b,15766,a)]. given #14429 (H,wt=17): 15768 K(x,(T(y,z) * z) \ u) = K(x,(z * y) \ u). [para(163(a,1),15767(a,1,2,1,2)),flip(a)]. given #14430 (H,wt=20): 15747 T(x,y \ T(z \ u,z)) != w | T(x,y \ (u / z)) = w. [para(15734(a,2),4890(a,1))]. given #14431 (H,wt=21): 15662 T(x * T(y,K(z,u)),K(z,u)) = y * T(x,K(z,u) * y). [para(15659(a,1),14(a,1,2)),flip(a)]. given #14432 (H,wt=21): 15681 K(x,K(y,z \ u) * (u / z)) = K(x,T(u / z,T(y,z))). [para(7372(a,1),15675(a,1,2)),flip(a)]. given #14433 (H,wt=21): 15697 K(x,T(y,T(z \ u,z) \ w)) = K(x,T(y,w \ (u / z))). [para(15688(a,2),9348(a,1,2))]. given #14434 (H,wt=21): 15736 K(x,(y \ z) \ K(u \ 1,y)) = K(x,z \ T(y,1 / u)). [para(3019(a,2),15735(a,2,2,2))]. given #14435 (H,wt=21): 15752 K(x,(y / (z * u)) * T(u,z)) = K(x,(y / (u * z)) * u). [para(10462(a,1),15750(a,1,2)),flip(a)]. given #14436 (H,wt=23): 15655 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z \ u,z) * x). [hyper(236,a,13106,a,b,15654,a)]. given #14437 (H,wt=23): 15674 T(T(x,K(y,K(z,u))),K(u,z) * y) = T(x,y * K(z,z * u)). [hyper(13166,a,15665,a),flip(a)]. given #14438 (H,wt=17): 15772 T(x,y * K(z,z * u)) = T(x,y * K(u,z)). [hyper(13164,a,15674,a),flip(a)]. given #14439 (H,wt=23): 15698 K(x,T(y,z) \ T(u,(z * y) / z)) = K(x,u / ((z * y) / z)). [hyper(13148,a,15691,a),flip(a)]. given #14440 (H,wt=21): 15773 K(x,T(y,z) \ T(u,T(y,z))) = K(x,u / ((z * y) / z)). [para(8152(a,1),15698(a,1,2,2))]. given #14441 (H,wt=20): 15775 K(x,y / ((z * u) / z)) != w | K(x,y / T(u,z)) = w. [para(15773(a,1),13148(a,1))]. given #14442 (H,wt=23): 15714 T(x,T(y * z,z) \ T(u,z * y)) = T(x,u / T(y * z,z)). [para(13107(a,1),15713(a,1,2,2))]. given #14443 (H,wt=23): 15720 K(x \ (y * T(z,u)),y \ x) = K((y \ x) \ z,T(y \ x,u)). [hyper(236,a,10652,a(flip),b,15716,a(flip)),flip(a)]. given #14444 (H,wt=23): 15724 T(x,y / (((z \ u) \ u) \ u)) = T(x,y / ((z * (z \ u)) / z)). [para(4108(a,1),15710(a,2,2,2)),flip(a)]. given #14445 (H,wt=19): 15779 T(x,y / (((z \ u) \ u) \ u)) = T(x,y / (u / z)). [para(14(a,1),15724(a,2,2,2,1))]. given #14446 (H,wt=17): 15780 T(x,y / T(z \ u,u)) = T(x,y / (u / z)). [hyper(236,a,13044,a(flip),b,15779,a(flip)),flip(a)]. given #14447 (H,wt=23): 15731 K(x,y \ T(z * (u / T(z,u)),z)) = K(x,y \ (z * (u / z))). [para(4144(a,1),15729(a,1,2,2,1))]. given #14448 (H,wt=21): 15782 K(x,y \ ((z / T(u,z)) * u)) = K(x,y \ (u * (z / u))). [hyper(236,a,13092,a(flip),b,15731,a(flip)),flip(a)]. given #14449 (H,wt=17): 15783 K(x,y \ (z * (u / z))) = K(x,y \ T(u,z)). [para(4113(a,1),15782(a,1,2,2)),flip(a)]. given #14450 (H,wt=19): 15785 K(x,y \ T(z * u,z)) = K(x,y \ (T(z,u) * u)). [para(3875(a,2),15783(a,1,2,2)),flip(a)]. given #14451 (H,wt=17): 15786 K(x,y \ (T(z,u) * u)) = K(x,y \ (u * z)). [hyper(236,a,13092,a(flip),b,15785,a(flip))]. given #14452 (H,wt=21): 15787 K(x \ (T(y,z) * z),u) = w / (K(u,x \ (z * y)) * w). [para(15786(a,1),5266(a,1,2,1)),flip(a)]. given #14453 (H,wt=20): 15788 K(x \ (T(y,z) * z),u) != w | K(x \ (z * y),u) = w. [para(15787(a,2),5272(a,1))]. given #14454 (H,wt=23): 15746 K(x \ (K(y,y \ z) * (y \ 1)),u) = K((x \ 1) / T(y,z),u). [hyper(236,a,14259,a,b,15745,a(flip)),flip(a)]. given #14455 (H,wt=23): 15760 K(x * L(y * K(z,y),u,w),v5) = K(x * T(L(y,u,w),z),v5). [para(5038(a,2),15758(a,1,1,2))]. given #14456 (H,wt=23): 15776 K(x \ (y * T(z,u)),y \ x) = K(x \ (y * z),T(y \ x,u)). [hyper(236,a,10917,a(flip),b,15720,a)]. given #14457 (H,wt=23): 15789 K(x \ (K(y,y \ z) * (y \ 1)),u) = K(x \ (T(y,z) \ 1),u). [hyper(236,a,14175,a(flip),b,15746,a)]. given #14458 (H,wt=21): 15792 K(x \ ((y / (y / z)) \ 1),u) = K(x \ (T(z,y) \ 1),u). [para(5509(a,2),15789(a,1,1,2))]. given #14459 (H,wt=21): 15793 K((x \ y) \ (T(x,z) \ 1),u) = K(y \ K(x,x \ z),u). [hyper(14936,a,15792,a),flip(a)]. given #14460 (H,wt=17): 15794 K(x \ K(y,y \ z),u) = K(x \ K(z,y),u). [hyper(14631,a,15793,a),flip(a)]. given #14461 (H,wt=20): 15795 K(x \ K(y,y \ z),u) != w | K(x \ K(z,y),u) = w. [para(15793(a,1),14631(a,1))]. given #14462 (H,wt=21): 15796 K((x / (y / (y / z))) * z,u) = K((x \ 1) \ K(y,z),u). [hyper(236,a,14119,a(flip),b,15794,a(flip)),flip(a)]. given #14463 (H,wt=19): 15797 K((x / (y / (y / z))) * z,u) = K(x * K(y,z),u). [hyper(236,a,14050,a(flip),b,15796,a)]. given #14464 (H,wt=17): 15798 K(x * K(y,y \ z),u) = K(x * K(z,y),u). [para(6444(a,1),15797(a,1,1))]. given #14465 (H,wt=23): 15790 K(x * L(y * K(z,y),u,w),v5) = K(x * L(T(y,z),u,w),v5). [para(40(a,2),15760(a,2,1,2))]. given #14466 (H,wt=24): 15771 x \ T(y * T(x,K(z,u)),K(z,u)) != w | T(y,K(z,u) * x) = w. [para(15662(a,2),283(a,1,2)),flip(b)]. given #14467 (H,wt=18): 15799 T(x,K(y,z) * u) != w | T(x,K(z,y) * u) = w. [para(15654(a,1),15771(a,1))]. given #14468 (H,wt=20): 15802 T(x,K(y,z * y) * u) != w | T(x,K(y,z) * u) = w. [para(15664(a,2),15799(a,1))]. given #14469 (H,wt=20): 15803 T(x,K(y * z,z) * u) != w | T(x,K(z,y) * u) = w. [para(15661(a,1),15802(a,1))]. given #14470 (H,wt=24): 15784 K(x,L(((y / z) \ u) \ 1,z \ y,z)) = K(x,(z * u) \ T(y,z)). [hyper(236,a,11725,a,b,15783,a(flip)),flip(a)]. given #14471 (H,wt=22): 15804 K(x,L(y \ (z / u),u \ z,u)) = K(x,(u * y) \ T(z,u)). [hyper(11601,a,15784,a)]. given #14472 (H,wt=20): 15805 K(x,L(y \ (z / u),z,u)) = K(x,(u * y) \ T(z,u)). [hyper(14594,a,15804,a)]. given #14473 (H,wt=21): 15806 K(x,y / (T(z,y / u) * u)) = K(x,(u * z) \ T(y,u)). [hyper(236,a,15463,a,b,15805,a(flip)),flip(a)]. given #14474 (H,wt=24): 15800 T(x,(y \ z) \ u) != w | T(x,K(y \ z,y) * ((z / y) \ u)) = w. [para(5757(a,1),15799(a,1,2))]. given #14475 (H,wt=24): 15801 x \ T(y * T(x,K(z,u)),K(z,u)) != w | T(y,K(u,z) * x) = w. [para(15659(a,2),15799(a,1))]. given #14476 (H,wt=20): 15808 T(x,K(y \ z,y) * u) != w | T(x,K(z,y) * u) = w. [para(15655(a,1),15801(a,1))]. given #14477 (H,wt=20): 15809 T(x,K(y,y \ z) * u) != w | T(x,K(z,y) * u) = w. [para(15661(a,1),15808(a,1))]. given #14478 (H,wt=25): 15658 x \ T(y * T(x,K(z,u)),K(z,z \ u)) = T(y,K(z \ u,z) * x). [para(9310(a,1),15654(a,1,2,1,2))]. given #14479 (H,wt=25): 15663 (x * y) \ T(z * T(x * y,K(x,u)),K(x,u)) = T(z,T(x,u) * y). [para(4906(a,1),15659(a,2,2))]. given #14480 (H,wt=25): 15770 (T(x,y) * y) * (z / (T(x,y) * y)) = z * K(y * x,(y * x) \ z). [para(15768(a,1),13418(a,2,2))]. given #14481 (H,wt=26): 15737 K((x * y) \ T(z,u),y * x) != w | K((y * x) \ z,T(y * x,u)) = w. [para(6633(a,2),15718(a,1))]. given #14482 (H,wt=26): 15778 K(x \ (y * T(z,u)),y \ x) != w | K(x \ (y * z),T(y \ x,u)) = w. [para(15720(a,2),10918(a,1))]. given #14483 (H,wt=26): 15811 (T(x,y) * y) * (z / (T(x,y) * y)) != u | (y * x) * (z / (y * x)) = u. [para(15770(a,2),5323(a,1))]. given #14484 (H,wt=27): 15682 K(x,K(y \ (z * u),u * z) * w) = K(x,K(u * z,y \ (u * z)) * w). [para(10143(a,1),15675(a,1,2,1)),flip(a)]. given #14485 (H,wt=27): 15701 K(x,K(y,z) * ((u * w) \ u)) != v5 | K(x,K(z,y) * L(w \ 1,w,u)) = v5. [para(348(a,1),15676(a,1,2))]. given #14486 (H,wt=27): 15719 x / (y * T(y \ x,(x / y) \ T(z,u))) = K((x / y) \ z,T(x / y,u)). [hyper(236,a,5419,a,b,15716,a(flip)),flip(a)]. given #14487 (H,wt=27): 15755 K(x,y * T(((z \ u) \ u) \ w,T(z,u))) = K(x,y * (w / ((z \ u) \ u))). [para(8330(a,1),15751(a,1,2,2))]. given #14488 (H,wt=27): 15757 K(x,y * (T(z,u \ w) \ T(w / u,w))) = K(x,y * (T(w / u,w) / z)). [para(8308(a,1),15753(a,1,2,2,1))]. given #14489 (H,wt=25): 15813 K(x,y * (T(z,u \ w) \ (u \ w))) = K(x,y * (T(w / u,w) / z)). [hyper(236,a,13162,a(flip),b,15757,a(flip)),flip(a)]. given #14490 (H,wt=21): 15814 K(x,y * (T(z / u,z) / w)) = K(x,y * ((u \ z) / w)). [hyper(236,a,15753,a(flip),b,15813,a(flip))]. given #14491 (H,wt=27): 15769 K(x,(T(y,T(z * u,z)) * (u * z)) \ w) = K(x,(T(z * u,z) * y) \ w). [hyper(236,a,13186,a(flip),b,15768,a(flip)),flip(a)]. given #14492 (H,wt=25): 15815 K(x,(T(y,z * u) * (z * u)) \ w) = K(x,(T(u * z,u) * y) \ w). [para(12988(a,1),15769(a,1,2,1,1))]. given #14493 (H,wt=21): 15816 K(x,(T(y * z,y) * u) \ w) = K(x,((z * y) * u) \ w). [hyper(236,a,15768,a(flip),b,15815,a(flip))]. given #14494 (H,wt=21): 15817 K(x,(((y \ z) * y) * u) \ w) = K(x,(T(z,y) * u) \ w). [para(14(a,1),15816(a,1,2,1,1,1)),flip(a)]. given #14495 (H,wt=25): 15818 K(x,T(y \ (z * u),y / u) \ 1) = K(x,(T(z,y / u) * u) \ y). [hyper(6462,a,15817,a)]. given #14496 (H,wt=25): 15819 K(x,T((y \ (z * u)) \ 1,y / u)) = K(x,(T(z,y / u) * u) \ y). [hyper(7818,a,15818,a)]. given #14497 (H,wt=27): 15812 x / (y * T(y \ x,(x / y) \ T(z,u))) = K((y \ x) \ z,T(x / y,u)). [hyper(236,a,7870,a(flip),b,15719,a)]. given #14498 (H,wt=27): 15820 x / (y * T(y \ x,x \ (y * T(z,u)))) = K((y \ x) \ z,T(x / y,u)). [para(10762(a,1),15812(a,1,2,2))]. given #14499 (H,wt=26): 15821 K((x \ y) \ z,T(y / x,u)) != w | K(y \ (x * T(z,u)),y / x) = w. [para(15820(a,1),5420(a,1))]. given #14500 (H,wt=29): 15656 x \ T(y * T(x,K(z,u \ 1)),K(z,u \ 1)) = T(y,(u * T(u \ 1,z)) * x). [para(4830(a,2),15654(a,2,2,1))]. given #14501 (H,wt=27): 15822 x \ T(y * T(x,K(z,u)),K(z,u \ 1)) = T(y,(u * T(u \ 1,z)) * x). [para(9291(a,1),15656(a,1,2,1,2))]. given #14502 (H,wt=25): 15823 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,(u * T(u \ 1,z)) * x). [para(9291(a,1),15822(a,1,2))]. given #14503 (H,wt=19): 15824 T(x,(y * T(y \ 1,z)) * u) = T(x,K(y,z) * u). [hyper(15801,a,15823,a),flip(a)]. given #14504 (H,wt=17): 15825 T(x,K(y \ 1,z) * u) = T(x,K(y,z) * u). [para(4830(a,1),15824(a,1,2,1))]. given #14505 (H,wt=19): 15826 K(x,K(y \ 1,z) * u) = x \ T(x,K(y,z) * u). [hyper(72,a,15825,a(flip),b,4887,a(flip)),flip(a)]. given #14506 (H,wt=17): 15828 K(x,K(y \ 1,z) * u) = K(x,K(y,z) * u). [hyper(236,a,4829,a,b,15826,a)]. given #14507 (H,wt=17): 15830 K(x,K(y,z \ 1) * u) = K(x,K(z,y) * u). [hyper(15676,a,15828,a)]. given #14508 (H,wt=19): 15832 K(x,K(y \ z,u) * w) = K(x,K(u,z \ y) * w). [para(6408(a,1),15830(a,1,2,1)),flip(a)]. given #14509 (H,wt=17): 15836 K(x,K(y,z \ y) * u) = K(x,K(z,y) * u). [hyper(13176,a,15832,a),flip(a)]. given #14510 (H,wt=19): 15837 K(x,T(y,z \ y) \ u) = K(x,K(z,y) * (y \ u)). [hyper(236,a,15680,a(flip),b,15836,a(flip)),flip(a)]. given #14511 (H,wt=17): 15840 K(x,T(y,z \ y) \ u) = K(x,T(y,z) \ u). [hyper(236,a,15690,a(flip),b,15837,a)]. given #14512 (H,wt=20): 15829 K(x,K(y \ 1,z) * u) != w | K(x,K(y,z) * u) = w. [para(15826(a,2),4956(a,1))]. given #14513 (H,wt=20): 15835 K(x,K(y,z \ 1) * u) != w | K(x,K(y,z) * u) = w. [para(15830(a,2),15676(a,1))]. given #14514 (H,wt=20): 15839 K(x,K(y,z \ y) * u) != w | K(x,K(y,z) * u) = w. [para(15836(a,2),15676(a,1))]. given #14515 (H,wt=20): 15841 K(x,K(y \ z,z) * u) != w | K(x,K(z,y) * u) = w. [para(15675(a,1),15839(a,1))]. given #14516 (H,wt=21): 15834 K(x,K(y,z) * T(u,K(z,y))) = K(x,u * K(z,y \ 1)). [para(9296(a,1),15830(a,1,2)),flip(a)]. given #14517 (H,wt=17): 15843 K(x,y * K(z,u \ 1)) = K(x,y * K(u,z)). [para(7990(a,1),15834(a,1,2)),flip(a)]. given #14518 (H,wt=19): 15844 K(x * K(y,z \ 1),u) = 1 / K(u,x * K(z,y)). [para(15843(a,1),5102(a,1,2)),flip(a)]. given #14519 (H,wt=17): 15845 K(x * K(y,z \ 1),u) = K(x * K(z,y),u). [hyper(236,a,5102,a(flip),b,15844,a)]. given #14520 (H,wt=17): 15847 K(x * K(y \ 1,z),u) = K(x * K(y,z),u). [hyper(15706,a,15845,a)]. given #14521 (H,wt=20): 15846 K(x * K(y,z \ 1),u) != w | K(x * K(z,y),u) = w. [para(15844(a,2),5106(a,1))]. given #14522 (H,wt=21): 15850 K(x * K(x \ y,z),T(u,y)) = K(y * T(x / y,z),u). [hyper(236,a,13448,a(flip),b,15847,a(flip))]. given #14523 (H,wt=23): 15827 T(x,K(y,z) * T(u,K(z,y \ 1))) = T(x,u * K(y \ 1,z)). [para(7990(a,1),15825(a,1,2)),flip(a)]. given #14524 (H,wt=21): 15851 T(x,K(y,z) * T(u,K(y,z))) = T(x,u * K(y \ 1,z)). [para(9290(a,1),15827(a,1,2,2))]. given #14525 (H,wt=17): 15852 T(x,y * K(z \ 1,u)) = T(x,y * K(z,u)). [para(119(a,1),15851(a,1,2)),flip(a)]. given #14526 (H,wt=20): 15853 T(x,y * K(x \ 1,z)) != u * w | u \ T(x,y) = w. [para(15852(a,2),8497(a,1))]. given #14527 (H,wt=23): 15848 K(((x * (y \ z)) / x) * y,u) = K(z * K(z \ y,x),T(u,y)). [hyper(13420,a,15845,a)]. given #14528 (H,wt=21): 15854 K(((x * (y \ z)) / x) * y,u) = K(y * T(z / y,x),u). [hyper(236,a,15850,a(flip),b,15848,a)]. given #14529 (H,wt=25): 15838 K(x,T(y / z,T(u \ (z \ y),z))) = K(x,K(u,z \ y) * (y / z)). [para(7372(a,1),15836(a,1,2))]. given #14530 (H,wt=23): 15856 K(x,T(y / z,T(u \ (z \ y),z))) = K(x,T(y / z,T(u,z))). [hyper(236,a,15681,a(flip),b,15838,a)]. given #14531 (H,wt=21): 15857 K(x,T(y / z,y / (z * u))) = K(x,T(y / z,T(u,z))). [para(10240(a,1),15856(a,1,2))]. given #14532 (H,wt=25): 15855 K(((x * y) / x) / z,u) = K((z \ 1) * T((z \ y) / (z \ 1),x),u). [hyper(13744,a,15854,a)]. given #14533 (H,wt=21): 15860 K(x \ T((x \ y) * x,z),u) = K(((z * y) / z) / x,u). [hyper(236,a,13473,a(flip),b,15855,a),flip(a)]. given #14534 (H,wt=19): 15861 K(T(x \ T(y,z),x),u) = K(((z * y) / z) / x,u). [para(4640(a,1),15860(a,1,1))]. given #14535 (H,wt=17): 15862 K(((x * y) / x) / z,u) = K(T(y,x) / z,u). [hyper(8406,a,15861,a),flip(a)]. given #14536 (H,wt=23): 15863 K(T(x * K(y,x),z) / z,u) = K(T(x,y) / T(z,T(x,y)),u). [hyper(236,a,9997,a,b,15862,a(flip)),flip(a)]. given #14537 (H,wt=21): 15864 K(T(x,y) / T(z,T(x,y)),u) = K(z \ (x * K(y,x)),u). [hyper(13061,a,15863,a),flip(a)]. given #14538 (H,wt=20): 15865 K(x \ (y * K(z,y)),u) != w | K(x \ T(y,z),u) = w. [para(15864(a,1),13096(a,1))]. given #14539 (H,wt=20): 15866 K((x \ y) * K(z,y),u) != w | K(x \ T(y,z),u) = w. [para(14225(a,1),15865(a,1,1))]. given #14540 (H,wt=26): 15842 K(x,K(y \ (z * u),u * z) * w) != v5 | K(x,K(u * z,y) * w) = v5. [para(15682(a,2),15839(a,1))]. given #14541 (H,wt=26): 15849 K(x * K(x \ y,z),T(u,y)) != w | K(((z * (y \ x)) / z) * y,u) = w. [para(15845(a,1),13420(a,1))]. given #14542 (H,wt=28): 15831 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w). [para(15828(a,1),6634(a,1,1))]. given #14543 (H,wt=23): 15867 K(x,(K(y,z \ K(z,u)) * u) \ w) = K(x,(u * K(y,z)) \ w). [hyper(9930,a,15831,a),flip(a)]. given #14544 (H,wt=21): 15868 K(x,(y * K(z,u \ 1)) \ w) = K(x,(y * K(z,u)) \ w). [para(6049(a,1),15867(a,1,2,1))]. given #14545 (H,wt=28): 15833 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(y \ K(y,u),z) * u) \ w). [para(15830(a,1),6635(a,1,1))]. given #14546 (H,wt=23): 15869 K(x,(K(y \ K(y,z),u) * z) \ w) = K(x,(z * K(u,y)) \ w). [hyper(9930,a,15833,a),flip(a)]. given #14547 (H,wt=21): 15870 K(x,(y * K(z \ 1,u)) \ w) = K(x,(y * K(u,z)) \ w). [para(6548(a,1),15869(a,1,2,1))]. given #14548 (H,wt=29): 15678 (x * T(y,K(x,K(z,u) * w))) \ (T(x,K(z,u) * w) * y) = K(x,K(u,z) * w). [hyper(236,a,8726,a,b,15675,a),flip(a)]. given #14549 (H,wt=29): 15759 K((x \ y) * ((z * ((x \ y) \ (x \ u))) / z),w) = K(x \ (y * T(y \ u,z)),w). [para(1338(a,1),15758(a,2,1))]. given #14550 (H,wt=25): 15872 K(x \ (y * ((z * (y \ u)) / z)),w) = K(x \ (y * T(y \ u,z)),w). [para(1651(a,1),15759(a,1,1))]. given #14551 (H,wt=21): 15873 K(x \ (y * T(y \ 1,z)),u) = K(x \ K(z,y \ 1),u). [para(4876(a,1),15872(a,1,1,2)),flip(a)]. given #14552 (H,wt=19): 15874 K(x \ K(y \ 1,z),u) = K(x \ K(z,y \ 1),u). [para(4830(a,1),15873(a,1,1,2))]. given #14553 (H,wt=25): 15875 (x \ K(y \ K(z,u \ 1),w)) \ (x \ 1) = K(w,y \ K(u \ 1,z)). [para(15874(a,1),14101(a,1,1,2))]. given #14554 (H,wt=19): 15876 K(x,y \ K(z \ 1,u)) = K(x,y \ K(u,z \ 1)). [hyper(14103,a,15875,a),flip(a)]. given #14555 (H,wt=29): 15763 K(x,y * T((z \ 1) * u,L(u,z \ 1,z))) = K(x,y * (L(u,z \ 1,z) / z)). [para(396(a,1),15761(a,1,2,2,2)),flip(a)]. given #14556 (H,wt=29): 15810 (x \ y) \ T(z * T(x \ y,K(u,x)),K(u,u \ x)) = T(z,(u * (x / u)) \ y). [para(11131(a,1),15658(a,2,2))]. given #14557 (H,wt=29): 15877 (x \ y) \ T(z * T(x \ y,K(x,u)),K(u,u \ x)) = T(z,(u * (x / u)) \ y). [para(7981(a,1),15810(a,1,2,1,2))]. given #14558 (H,wt=27): 15878 (x \ y) \ T(z * T(x \ y,K(x,u)),K(x,u)) = T(z,(u * (x / u)) \ y). [para(9315(a,1),15877(a,1,2))]. given #14559 (H,wt=19): 15879 T(x,(y * (z / y)) \ u) = T(x,K(y,z) * (z \ u)). [hyper(15801,a,15878,a),flip(a)]. given #14560 (H,wt=17): 15880 T(x,(y * (z / y)) \ u) = T(x,T(z,y) \ u). [para(5204(a,1),15879(a,2,2))]. given #14561 (H,wt=17): 15881 T(x,T(y * z,z) \ u) = T(x,(z * y) \ u). [para(15(a,1),15880(a,1,2,1,2)),flip(a)]. given #14562 (H,wt=21): 15882 T(x,(y * z) \ T(u,y * z)) = T(x,u / T(z * y,y)). [hyper(236,a,15714,a(flip),b,15881,a(flip))]. given #14563 (H,wt=17): 15883 T(x,y / T(z * u,u)) = T(x,y / (u * z)). [hyper(236,a,15713,a(flip),b,15882,a(flip))]. given #14564 (H,wt=17): 15884 T(x,y / (z * (u / z))) = T(x,y / T(u,z)). [para(16(a,1),15883(a,1,2,2,1)),flip(a)]. given #14565 (H,wt=19): 15885 T(x,y / T(z * u,z)) = T(x,y / (T(z,u) * u)). [hyper(236,a,15473,a,b,15884,a(flip))]. given #14566 (H,wt=31): 15660 (x * y) \ T(z * T(x * y,K(u,u \ x)),K(u \ x,u)) = T(z,(u * (x / u)) * y). [para(11107(a,1),15657(a,2,2))]. given #14567 (H,wt=29): 15886 (x * y) \ T(z * T(x * y,K(x,u)),K(u \ x,u)) = T(z,(u * (x / u)) * y). [para(9315(a,1),15660(a,1,2,1,2))]. given #14568 (H,wt=27): 15887 (x * y) \ T(z * T(x * y,K(x,u)),K(x,u)) = T(z,(u * (x / u)) * y). [para(9313(a,1),15886(a,1,2))]. given #14569 (H,wt=17): 15888 T(x,(y * (z / y)) * u) = T(x,T(z,y) * u). [hyper(236,a,15663,a(flip),b,15887,a(flip))]. given #14570 (H,wt=19): 15889 K((x * (y / x)) * z,u) = u / T(u,T(y,x) * z). [para(15888(a,1),4826(a,2,2))]. given #14571 (H,wt=17): 15890 K((x * (y / x)) * z,u) = K(T(y,x) * z,u). [hyper(236,a,4826,a,b,15889,a)]. given #14572 (H,wt=17): 15891 K(T(x * y,y) * z,u) = K((y * x) * z,u). [para(15(a,1),15890(a,1,1,1,2)),flip(a)]. given #14573 (H,wt=23): 15892 K(T((x \ y) * z,y \ x) * u,w) = K((z * (x \ y)) * u,w). [hyper(236,a,13435,a,b,15891,a(flip)),flip(a)]. given #14574 (H,wt=31): 15689 L(x,y,((K(z,u) * (z \ w)) \ v5) * (K(z,u) * (z \ w))) = L(x,y,T(v5,T(z,u) \ w)). [para(15670(a,1),13510(a,2,3))]. given #14575 (H,wt=31): 15858 K(x,(y * K(y * z,z \ 1)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(236,a,15653,a(flip),b,15857,a(flip)),flip(a)]. given #14576 (H,wt=29): 15893 K(x,(y * K(y * z,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(236,a,15868,a(flip),b,15858,a(flip)),flip(a)]. given #14577 (H,wt=27): 15894 K(x,(y * K(y,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(236,a,13185,a(flip),b,15893,a(flip)),flip(a)]. given #14578 (H,wt=25): 15895 K(x,T(y,z) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [para(4887(a,2),15894(a,1,2,1))]. given #14579 (H,wt=31): 15896 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(4104(a,1),15895(a,1,2,1))]. given #14580 (H,wt=29): 15897 K(x,T(y,z) \ ((z * y) * (u / (y * T(z,y))))) = K(x,T(u / y,T(T(z,y),y))). [para(119(a,1),15896(a,1,2,2,1))]. given #14581 (H,wt=27): 15898 K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,T(T(z,y),y))). [para(119(a,1),15897(a,1,2,2,2,2))]. given #14582 (H,wt=23): 15899 K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,z)). [para(8147(a,1),15898(a,2,2))]. given #14583 (H,wt=19): 15900 K(x,T(y,z) \ T(u,z * y)) = K(x,T(u / y,z)). [hyper(236,a,15783,a(flip),b,15899,a(flip)),flip(a)]. given #14584 (H,wt=32): 15695 T(x,((y * K(z * y,z \ 1)) / (z * y)) * u) = T(x,T(R(1 / z,z,y),z * y) * u). [para(5942(a,1),15687(a,1,2,1,1))]. given #14585 (H,wt=32): 15903 T(x,((y / (z * y)) * K(z * y,z \ 1)) * u) = T(x,T(R(1 / z,z,y),z * y) * u). [para(6223(a,1),15695(a,1,2,1))]. given #14586 (H,wt=33): 15777 K(x \ (K(y,z) * (u * ((u * y) / u))),u \ x) = K((u \ x) \ (y * K(u,y)),T(u \ x,z)). [para(9487(a,2),15720(a,1,1,2))]. given #14587 (H,wt=31): 15904 K(x \ (K(y,z) * (u * ((u * y) / u))),u \ x) = K((u \ x) \ T(y,u),T(u \ x,z)). [hyper(236,a,15717,a(flip),b,15777,a)]. given #14588 (H,wt=31): 15905 K(x \ (K(y,z) * (u * ((u * y) / u))),u \ x) = K((u \ x) \ y,T(T(u \ x,u),z)). [hyper(236,a,11203,a(flip),b,15904,a)]. given #14589 (H,wt=29): 15906 K(x \ (K(y,z) * (u * ((u * y) / u))),u \ x) = K((u \ x) \ y,T(x / u,z)). [hyper(236,a,8645,a(flip),b,15905,a)]. given #14590 (H,wt=27): 15907 K(x \ (y * T(z * K(y,z),u)),y \ x) = K((y \ x) \ z,T(x / y,u)). [para(9487(a,1),15906(a,1,1,2))]. given #14591 (H,wt=27): 15908 K(x \ (y * (z * K(y,z))),T(y \ x,u)) = K((y \ x) \ z,T(x / y,u)). [hyper(15778,a,15907,a)]. given #14592 (H,wt=25): 15909 K(x \ (T(y,z) * z),T(y \ x,u)) = K((y \ x) \ z,T(x / y,u)). [para(4924(a,1),15908(a,1,1,2))]. given #14593 (H,wt=23): 15910 K((x \ y) \ z,T(y / x,u)) = K(y \ (z * x),T(x \ y,u)). [hyper(15788,a,15909,a),flip(a)]. given #14594 (H,wt=23): 15911 K(x \ (y * T(z,u)),x / y) = K(x \ (z * y),T(y \ x,u)). [hyper(15821,a,15910,a)]. given #14595 (H,wt=33): 15859 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(6048(a,1),15857(a,1,2,2,2)),flip(a)]. given #14596 (H,wt=29): 15912 K(x,T(y / z,T(T(z \ (u \ z),T(u,w)),z))) = K(x,T(y / z,y / (u \ z))). [para(10263(a,1),15859(a,2,2))]. given #14597 (H,wt=27): 15913 K(x,T(y / z,T((u \ z) / z,T(u,w)))) = K(x,T(y / z,y / (u \ z))). [para(8153(a,1),15912(a,1,2))]. given #14598 (H,wt=21): 15914 K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u \ 1)). [para(9827(a,1),15913(a,1,2)),flip(a)]. given #14599 (H,wt=19): 15915 K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u)). [hyper(236,a,9343,a(flip),b,15914,a)]. given #14600 (H,wt=22): 15916 K(x,T(y / z,y / (u \ z))) != w | K(x,T(y / z,u)) = w. [para(15914(a,2),9368(a,1))]. given #14601 (H,wt=23): 15918 K(x,T(y,z) \ ((z \ y) * (u / (z \ y)))) = K(x,T(u / y,z)). [hyper(236,a,15557,a(flip),b,15915,a(flip)),flip(a)]. given #14602 (H,wt=34): 15871 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(7929(a,1),15870(a,2,2))]. given #14603 (H,wt=30): 15920 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(7470(a,1),15871(a,1,2,2,2))]. given #14604 (H,wt=30): 15922 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(7923(a,2),15920(a,1,2,2))]. given #14605 (H,wt=26): 15923 K(x,(L(K(y,z),u,K(y,z)) * u) \ 1) = K(x,(K(z \ 1,y) * u) \ 1). [para(9263(a,1),15922(a,1,2)),flip(a)]. given #14606 (H,wt=24): 15924 K(x,(L(K(y,z),u,K(y,z)) * u) \ 1) = K(x,u \ K(y,z \ 1)). [hyper(236,a,6410,a(flip),b,15923,a)]. given #14607 (H,wt=19): 15925 K(x,(K(y,z) * u) \ 1) = K(x,u \ K(y,z \ 1)). [hyper(236,a,13187,a(flip),b,15924,a(flip)),flip(a)]. given #14608 (H,wt=17): 15926 K(x,y \ K(z,u \ 1)) = K(x,y \ K(u,z)). [hyper(6479,a,15925,a),flip(a)]. given #14609 (H,wt=17): 15931 K(x,y \ K(z \ 1,u)) = K(x,y \ K(z,u)). [hyper(236,a,15876,a,b,15926,a(flip)),flip(a)]. given #14610 (H,wt=19): 15932 K(x,(y \ z) \ K(u,y)) = K(x,z \ T(y,1 / u)). [hyper(236,a,15736,a(flip),b,15931,a(flip))]. given #14611 (H,wt=17): 15933 K(x,y \ T(z,1 / u)) = K(x,y \ T(z,u)). [hyper(236,a,15735,a(flip),b,15932,a(flip))]. given #14612 (H,wt=17): 15934 K(x,y \ T(z,u \ 1)) = K(x,y \ T(z,u)). [para(62(a,1),15933(a,1,2,2,2)),flip(a)]. given #14613 (H,wt=20): 15928 K(x,y \ K(z,u \ 1)) != w | K(x,y \ K(u,z)) = w. [para(15925(a,1),6479(a,1))]. given #14614 (H,wt=21): 15935 K(x,y \ T(z,u \ (w \ u))) = K(x,y \ T(z,T(w,u))). [para(8609(a,1),15934(a,1,2,2))]. given #14615 (H,wt=35): 15721 K(x,K((y * x) \ T(z,u),y)) \ K((y * x) \ z,T(y * x,u)) = K((y * x) \ T(z,u),x * y). [hyper(72,a,15716,a(flip),b,13236,a)]. given #14616 (H,wt=35): 15791 K(x,K(x \ (y * T(z,u)),y)) \ K(x \ (y * z),T(y \ x,u)) = K(x \ (y * T(z,u)),x / y). [hyper(72,a,15776,a(flip),b,9409,a)]. given #14617 (H,wt=33): 15936 K(x,K(y,y * T(z,u))) \ K(x \ (y * z),T(y \ x,u)) = K(x \ (y * T(z,u)),x / y). [para(9205(a,1),15791(a,1,1))]. given #14618 (H,wt=31): 15937 K(x,K(y,T(z,u))) \ K(x \ (y * z),T(y \ x,u)) = K(x \ (y * T(z,u)),x / y). [para(9204(a,1),15936(a,1,1))]. given #14619 (H,wt=35): 15919 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(4142(a,1),15918(a,1,2,2,1))]. given #14620 (H,wt=33): 15938 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(8864(a,1),15919(a,1,2,1))]. given #14621 (H,wt=29): 15939 K(x,T(y,z \ y) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). [para(4142(a,1),15938(a,1,2,2,2,2))]. given #14622 (H,wt=27): 15941 K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). [hyper(236,a,15840,a(flip),b,15939,a(flip)),flip(a)]. given #14623 (H,wt=25): 15942 K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,z \ y)). [para(12985(a,1),15941(a,2,2))]. given #14624 (H,wt=21): 15943 K(x,T(y,z) \ T(u,T(z,y))) = K(x,T(u / y,z \ y)). [hyper(236,a,15783,a(flip),b,15942,a(flip)),flip(a)]. given #14625 (H,wt=37): 15902 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(7105(a,1),15900(a,1,2,2,2))]. given #14626 (H,wt=35): 15944 K(x,(((y * z) \ z) \ z) \ T(u,z * K(y \ 1,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). [hyper(236,a,6543,a(flip),b,15902,a(flip)),flip(a)]. given #14627 (H,wt=33): 15945 K(x,(((y * z) \ z) \ z) \ T(u,z * K(y,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(15852(a,1),15944(a,1,2,2))]. given #14628 (H,wt=33): 15946 K(x,(((y * z) \ z) \ z) \ T(u,z * K(y,y * z))) = K(x,T(u / (y * z),(y * z) \ z)). [para(6605(a,1),15945(a,1,2,2,2,2))]. given #14629 (H,wt=31): 15947 K(x,(((y * z) \ z) \ z) \ T(u,z * K(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(15772(a,1),15946(a,1,2,2))]. given #14630 (H,wt=29): 15948 K(x,(((y * z) \ z) \ z) \ T(u,T(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(4887(a,2),15947(a,1,2,2,2))]. given #14631 (H,wt=27): 15949 K(x,T(y * z,z) \ T(u,T(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [hyper(13208,a,15948,a)]. given #14632 (H,wt=25): 15950 K(x,T(y / (z * u),(z * u) \ u)) = K(x,(u * z) \ T(y,T(u,z))). [hyper(236,a,15764,a(flip),b,15949,a(flip))]. given #14633 (H,wt=25): 15951 K(x,T(y / (z * u),u \ (z \ u))) = K(x,(u * z) \ T(y,T(u,z))). [para(8607(a,1),15950(a,1,2))]. given #14634 (H,wt=23): 15952 K(x,(y * z) \ T(u,T(y,z))) = K(x,T(u / (z * y),T(z,y))). [hyper(9376,a,15951,a),flip(a)]. given #14635 (H,wt=38): 15722 K(R(x / y,y,x \ z) \ T(z,u),R(x / y,y,x \ z)) = K(y * (x \ z),T(R(x / y,y,x \ z),u)). [para(489(a,1),15716(a,2,1))]. given #14636 (H,wt=35): 15954 K((x * (y \ z)) * K(z,u),R(y / x,x,y \ z)) = K(x * (y \ z),T(R(y / x,x,y \ z),u)). [para(14447(a,1),15722(a,1,1))]. given #14637 (H,wt=35): 15955 K((x * (y \ z)) * K(z,u),L(y / x,x,y \ z)) = K(x * (y \ z),T(R(y / x,x,y \ z),u)). [hyper(15349,a,15954,a)]. given #14638 (H,wt=38): 15807 K(x,L((y \ z) \ (u / K(w \ y,w)),u,K(w \ y,w))) = K(x,((w * (y / w)) \ z) \ T(u,K(w \ y,w))). [para(11131(a,1),15805(a,2,2,1))]. given #14639 (H,wt=38): 15956 K(x,L((y \ z) \ (u * K(w,w \ y)),u,K(w \ y,w))) = K(x,((w * (y / w)) \ z) \ T(u,K(w \ y,w))). [para(7547(a,1),15807(a,1,2,1,2))]. given #14640 (H,wt=45): 15781 T(K(x,L(y / T(z \ u,u),w,v5)),L(x \ 1,w,v5) \ 1) = (L(x \ 1,w,v5) \ 1) \ T(L(x \ 1,w,v5) \ 1,y / (u / z)). [hyper(394,a,15780,a(flip),b,11685,a)]. given #14641 (H,wt=45): 15957 T(K(x,L(y / T(z \ u,u),w,v5)),L((x \ 1) \ 1,w,v5)) = (L(x \ 1,w,v5) \ 1) \ T(L(x \ 1,w,v5) \ 1,y / (u / z)). [hyper(236,a,11700,a,b,15781,a(flip)),flip(a)]. given #14642 (H,wt=43): 15958 T(K(x,L(y / T(z \ u,u),w,v5)),L(T(x,1),w,v5)) = (L(x \ 1,w,v5) \ 1) \ T(L(x \ 1,w,v5) \ 1,y / (u / z)). [hyper(9913,a,15957,a)]. given #14643 (H,wt=41): 15959 T(K(x,L(y / T(z \ u,u),w,v5)),L(x,w,v5)) = (L(x \ 1,w,v5) \ 1) \ T(L(x \ 1,w,v5) \ 1,y / (u / z)). [para(145(a,1),15958(a,1,2,1))]. given #14644 (H,wt=36): 15960 K(x,L(y / T(z \ u,u),w,v5)) = (L(x \ 1,w,v5) \ 1) \ T(L(x \ 1,w,v5) \ 1,y / (u / z)). [hyper(8177,a,15959,a)]. given #14645 (H,wt=27): 15961 K(L(x \ 1,y,z) \ 1,u / (w / v5)) = K(x,L(u / T(v5 \ w,w),y,z)). [hyper(236,a,4829,a,b,15960,a),flip(a)]. given #14646 (H,wt=27): 15963 K((x \ 1) \ 1,L(y / (z / u),w,v5)) = K(x,L(y / T(u \ z,z),w,v5)). [hyper(11590,a,15961,a)]. given #14647 (H,wt=23): 15964 K(x,L(y / T(z \ u,u),w,v5)) = K(x,L(y / (u / z),w,v5)). [hyper(5144,a,15963,a),flip(a)]. given #14648 (H,wt=26): 15965 K(x,L(y / T(z \ u,u),w,v5)) != v6 | K(x,L(y / (u / z),w,v5)) = v6. [para(15963(a,1),5144(a,1))]. given #14649 (H,wt=47): 15639 ((K(x,y) * z) * L(u,z,K(y,x))) \ (K(x,L(y,z,u)) * (z * u)) = (u * (K(x,L(y,z,u)) * z)) \ ((u * z) * K(x,T(L(y,z,u),z))). [para(15507(a,1),15616(a,2,1)),flip(a)]. given #14650 (H,wt=47): 15953 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(5160(a,1),15952(a,1,2,1)),flip(a)]. given #14651 (H,wt=43): 15967 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(8151(a,1),15953(a,2,2,2))]. given #14652 (H,wt=43): 15968 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(8681(a,1),15967(a,2,2,2))]. given #14653 (H,wt=41): 15969 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(236,a,15935,a(flip),b,15968,a)]. given #14654 (H,wt=39): 15970 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(236,a,15870,a(flip),b,15969,a)]. given #14655 (H,wt=37): 15971 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(236,a,13185,a(flip),b,15970,a)]. given #14656 (H,wt=35): 15972 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(4887(a,2),15971(a,2,2,1))]. given #14657 (H,wt=33): 15973 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)). [hyper(236,a,15943,a(flip),b,15972,a)]. given #14658 (H,wt=25): 15974 K(x,T(y / z,T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)). [para(14(a,1),15973(a,1,2,1,2))]. given #14659 (H,wt=21): 15975 K(x,T(y / z,T(z * u,z))) = K(x,T(y / z,u \ z)). [para(8313(a,1),15974(a,1,2))]. given #14660 (H,wt=19): 15976 K(x,T(y / z,u \ z)) = K(x,T(y / z,u * z)). [para(12988(a,1),15975(a,1,2)),flip(a)]. given #14661 (H,wt=19): 15977 K(x,T((y * z) / z,u * z)) = K(x,T(y,u \ z)). [para(15(a,1),15976(a,1,2,1)),flip(a)]. given #14662 (H,wt=15): 15979 K(x,T(y,z \ u)) = K(x,T(y,z * u)). [para(15(a,1),15977(a,1,2,1)),flip(a)]. given #14663 (H,wt=11): 15985 K(x,T(y,z * z)) = K(x,y). [para(148(a,1),15979(a,1,2)),flip(a)]. given #14664 (H,wt=14): 15989 K(x,T(y,z * z)) != u | K(x,y) = u. [para(15985(a,1),8174(a,1))]. given #14665 (H,wt=15): 15981 K(x,T(y,z \ u)) = K(x,T(y,u * z)). [hyper(9375,a,15979,a)]. given #14666 (H,wt=15): 15991 K(x,T(y,z * u)) = K(x,T(y,u * z)). [hyper(236,a,15979,a(flip),b,15981,a(flip))]. given #14667 (H,wt=16): 15992 K(x,T(y,z * y)) != u | K(x,T(y,z)) = u. [para(15981(a,1),7255(a,1))]. given #14668 (H,wt=16): 15998 T(K(x,y),z * y) != u | K(x,T(y,z)) = u. [para(7256(a,1),15992(a,1))]. given #14669 (H,wt=17): 15980 K(x,T(y,z * (u \ z))) = K(x,T(y,T(u,z))). [hyper(9376,a,15979,a),flip(a)]. given #14670 (H,wt=17): 15986 x * K(x,T(y,z * u)) = T(x,T(y,z \ u)). [para(15979(a,1),4887(a,2,2)),flip(a)]. given #14671 (H,wt=17): 15990 K(x * y,T(x,z * y)) = K(x * y,T(x,z)). [hyper(8874,a,15981,a),flip(a)]. given #14672 (H,wt=17): 15997 K(x,T(y,z * (u \ 1))) = K(x,T(y,u \ z)). [para(14238(a,1),15991(a,1,2)),flip(a)]. given #14673 (H,wt=15): 16002 K(x,T(y,z / u)) = K(x,T(y,u \ z)). [hyper(236,a,12195,a(flip),b,15997,a(flip)),flip(a)]. given #14674 (H,wt=15): 16007 K(x,T(y,z / u)) = K(x,T(y,u * z)). [hyper(236,a,15979,a(flip),b,16002,a)]. given #14675 (H,wt=16): 16010 K(x,T(y,x / z)) != u | K(x,T(y,z)) = u. [para(16002(a,2),9357(a,1))]. given #14676 (H,wt=18): 16000 T(x,T(y,z \ u)) != w | T(x,T(y,z * u)) = w. [para(15986(a,1),4890(a,1))]. given #14677 (H,wt=15): 16015 T(x,T(y \ z,z * y)) = T(x,y \ z). [hyper(16000,a,3031,a)]. given #14678 (H,wt=19): 15978 K(x,T(y / z,(z / u) * z)) = K(x,T(y / z,u)). [para(65(a,1),15976(a,1,2,2)),flip(a)]. given #14679 (H,wt=19): 15993 K((x * y) \ z,T(u,y * x)) = K(z / (x * y),u). [hyper(8184,a,15991,a),flip(a)]. given #14680 (H,wt=19): 16001 K(T(x,y) * z,T(x,u * z)) = K(x * z,T(x,u)). [hyper(236,a,7684,a,b,15990,a(flip)),flip(a)]. given #14681 (H,wt=18): 16021 a(x,y,x) * K(y,T(x,z)) = K(x * y,T(x,z)). [hyper(236,a,12045,a(flip),b,16001,a(flip)),flip(a)]. given #14682 (H,wt=18): 16022 K(x * y,T(x,z)) * K(x,T(y,z)) = a(x,y,x). [hyper(7666,a,16021,a)]. given #14683 (H,wt=19): 16012 K(x / (y / z),T(u,z * y)) = K((y / z) \ x,u). [hyper(8178,a,16007,a),flip(a)]. given #14684 (H,wt=19): 16014 K(x,T(y,z / R(x,u,w))) != v5 | K(x,T(y,z)) = v5. [para(16007(a,2),9197(a,1))]. given #14685 (H,wt=19): 16018 K(x,T(y / z,z * (u \ z))) = K(x,T(y / z,u)). [para(13288(a,1),15978(a,1,2))]. given #14686 (H,wt=17): 16026 K(x,T(y / z,T(u,z))) = K(x,T(y / z,u)). [hyper(236,a,15980,a(flip),b,16018,a(flip)),flip(a)]. given #14687 (H,wt=20): 15999 K(x,1 / (y / (y / (1 / z)))) != u | K(x,T(z,y)) = u. [para(11036(a,1),15998(a,1))]. given #14688 (H,wt=21): 16013 K(x,L(T(y,z * u),w,v5)) = K(x,T(L(y,w,v5),u / z)). [para(40(a,2),16007(a,2,2)),flip(a)]. given #14689 (H,wt=21): 16028 K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(x,K(y,z)). [para(16026(a,1),11973(a,1,1))]. given #14690 (H,wt=13): 16030 K(x,K(y,T(z,u))) = K(z,K(x,y)). [hyper(11263,a,16028,a)]. given #14691 (H,wt=13): 16031 K(x,K(T(y,z),u)) = K(x,K(y,u)). [hyper(8037,a,16030,a)]. given #14692 (H,wt=13): 16032 K(x,K(y,T(z,u))) = K(x,K(z,y)). [hyper(8036,a,16030,a)]. given #14693 (H,wt=13): 16034 K(x,K(y,T(z,u))) = K(x,K(y,z)). [hyper(236,a,7923,a,b,16030,a)]. given #14694 (H,wt=15): 16033 K(x,K(y,z \ u)) = K(y,K(x,u / z)). [hyper(8016,a,16030,a)]. given #14695 (H,wt=15): 16039 K(x * y,K(z,u)) = K(z,K(u,y * x)). [para(13017(a,1),16030(a,1,2)),flip(a)]. given #14696 (H,wt=15): 16041 K(x,K(y / z,u)) = K(x,K(z \ y,u)). [para(121(a,1),16031(a,1,2,1)),flip(a)]. given #14697 (H,wt=15): 16042 K(x,K(y,z / u)) = K(x,K(y,u \ z)). [para(7313(a,1),16031(a,1,2)),flip(a)]. given #14698 (H,wt=15): 16043 T(x,K(y,T(z,u))) = K(x,K(z,y)) * x. [para(16031(a,1),7958(a,1,1)),flip(a)]. given #14699 (H,wt=13): 16083 T(x,K(y,T(z,u))) = T(x,K(z,y)). [hyper(236,a,4897,a,b,16043,a)]. given #14700 (H,wt=13): 16084 T(x,K(y,T(z,u))) = T(x,K(y,z)). [hyper(236,a,7958,a(flip),b,16043,a)]. given #14701 (H,wt=13): 16085 T(x,K(T(y,z),u)) = T(x,K(y,u)). [hyper(8002,a,16083,a)]. given #14702 (H,wt=13): 16091 T(x,T(K(y,z),u)) = T(x,K(y,z)). [para(6437(a,1),16084(a,1,2))]. given #14703 (H,wt=15): 16044 K(x,K(y,z * u)) = K(x,K(y,u * z)). [para(13030(a,1),16031(a,1,2))]. given #14704 (H,wt=15): 16049 K(x,K(y / z,u)) = K(x,K(u,z \ y)). [para(121(a,1),16032(a,1,2,2)),flip(a)]. given #14705 (H,wt=15): 16050 K(x,K(y \ z,u)) = K(x,K(u,z / y)). [para(7272(a,1),16032(a,1,2))]. given #14706 (H,wt=15): 16051 K(x,K(y,z)) * u = u * K(x,K(z,y)). [para(16032(a,1),7360(a,1,2)),flip(a)]. given #14707 (H,wt=15): 16053 K(x,K(y,(z \ u) * z)) = K(x,K(u,y)). [para(13034(a,2),16032(a,1,2))]. given #14708 (H,wt=15): 16057 K(x,K(y,z)) * u = u * K(x,K(y,z)). [para(16034(a,1),7360(a,1,2)),flip(a)]. given #14709 (H,wt=9): 16109 T(x,K(y,K(z,u))) = x. [hyper(8000,a,16057,a)]. given #14710 (H,wt=9): 16116 K(x,K(y,K(z,u))) = 1. [hyper(73,a,16057,a,b,4817,a),flip(a)]. given #14711 (H,wt=11): 16118 T(x,T(y,K(z,u))) = T(x,y). [hyper(17,a,7134,a,b,16057,a),flip(a)]. given #14712 (H,wt=11): 16124 K(x,T(y,K(z,u))) = K(x,y). [hyper(8943,a,16109,a)]. given #14713 (H,wt=11): 16155 T(K(x,y),K(z,u)) = K(x,y). [hyper(8540,a,16124,a)]. given #14714 (H,wt=11): 16158 K(T(x,K(y,z)),u) = K(x,u). [hyper(8173,a,16124,a),flip(a)]. given #14715 (H,wt=12): 16128 T(x,K(y,K(z,u))) != w | w = x. [para(16109(a,1),7992(a,1,1))]. given #14716 (H,wt=13): 16108 x * T(y,T(x,K(z,u))) = y * x. [hyper(8649,a,16057,a),flip(a)]. given #14717 (H,wt=13): 16137 T(x,T(y,T(z,u))) = T(x,T(y,z)). [para(7135(a,1),16118(a,1,2))]. given #14718 (H,wt=13): 16164 K(x,T(y,T(z,u))) = K(x,T(y,z)). [para(7135(a,1),16124(a,1,2))]. given #14719 (H,wt=13): 16204 T(K(x,y),T(z,u)) = K(x,T(y,z)). [hyper(8540,a,16164,a)]. given #14720 (H,wt=14): 16143 T(x,T(y,K(z,u))) != w | T(x,y) = w. [para(16118(a,1),8242(a,1))]. given #14721 (H,wt=14): 16171 T(K(x,y),K(z,u)) != w | K(x,y) = w. [para(16124(a,1),8048(a,1,1))]. given #14722 (H,wt=14): 16172 K(T(x,K(y,z)),u) != w | K(x,u) = w. [para(16124(a,1),8173(a,1))]. given #14723 (H,wt=14): 16173 K(x,T(y,K(z,u))) != w | K(x,y) = w. [para(16124(a,1),8174(a,1))]. given #14724 (H,wt=15): 16071 K(K(x,y),z * u) = K(x,K(y,u * z)). [hyper(236,a,7936,a,b,16039,a(flip)),flip(a)]. given #14725 (H,wt=15): 16076 K(x,K(y,z \ (u \ z))) = K(x,K(u,y)). [hyper(9414,a,16042,a),flip(a)]. given #14726 (H,wt=15): 16077 K(x,K(y,z / u)) = K(x,K(y,z \ u)). [hyper(9361,a,16042,a)]. given #14727 (H,wt=15): 16090 T(x,K(y,z / u)) = T(x,K(y,u \ z)). [para(121(a,1),16084(a,1,2,2)),flip(a)]. given #14728 (H,wt=15): 16092 T(x,K(y,z * u)) = T(x,K(y,u * z)). [para(13017(a,1),16084(a,1,2))]. given #14729 (H,wt=15): 16102 K(x,K(y,z)) * u = u * K(y,K(x,z)). [para(7923(a,1),16051(a,1,1))]. given #14730 (H,wt=15): 16110 K(x,K(y,z)) * (u * K(x,K(y,z))) = u. [hyper(7968,a,16057,a)]. given #14731 (H,wt=15): 16111 K(x,K(y,z)) \ u = u * K(x,K(y,z)). [hyper(7967,a,16057,a)]. given #14732 (H,wt=15): 16123 T(x,K(y,z) * u) = T(x,u * K(y,z)). [hyper(13074,a,16109,a)]. given #14733 (H,wt=15): 16125 T(x,K(y,z) / u) = T(x,u \ K(y,z)). [hyper(236,a,9327,a(flip),b,16109,a(flip))]. given #14734 (H,wt=15): 16152 K(K(x,y) * z,u) = K(z * K(x,y),u). [hyper(13410,a,16124,a)]. given #14735 (H,wt=15): 16154 K(x,K(y,z) * u) = K(x,u * K(y,z)). [hyper(13098,a,16124,a)]. given #14736 (H,wt=15): 16156 K(x,K(y,z) / u) = K(x,u \ K(y,z)). [hyper(8189,a,16124,a)]. given #14737 (H,wt=15): 16160 K(x * K(y,z),T(y,K(u,w))) = K(x,y). [hyper(236,a,7574,a(flip),b,16124,a)]. given #14738 (H,wt=15): 16162 (K(x,y) * K(z,u)) \ K(z,u) = K(y,x). [hyper(236,a,7591,a,b,16124,a(flip)),flip(a)]. given #14739 (H,wt=15): 16165 K(x,y) * K(z,u) = K(z,u) * K(x,y). [para(16124(a,1),7281(a,1,2))]. given #14740 (H,wt=15): 16167 (K(x,y) * K(z,u)) * K(y,x) = K(z,u). [para(16124(a,1),7551(a,1,2))]. given #14741 (H,wt=15): 16210 K(x \ y,T(z,T(y,u))) = K(y / x,z). [hyper(236,a,8052,a(flip),b,16164,a)]. given #14742 (H,wt=15): 16255 T(x,K(y,z) * u) = T(x,u * K(z,y)). [hyper(15799,a,16123,a)]. given #14743 (H,wt=15): 16266 K(K(x,y) * z,u) = K(z * K(y,x),u). [hyper(236,a,15705,a,b,16152,a)]. given #14744 (H,wt=15): 16275 K(x,K(y,z) * u) = K(x,u * K(z,y)). [hyper(15676,a,16154,a)]. given #14745 (H,wt=15): 16293 K(K(x,y) * z,u) = K(K(y,x) * z,u). [hyper(236,a,16152,a,b,16266,a)]. given #14746 (H,wt=16): 16037 K(x,K(y,T(z,u))) != w | K(x,K(y,z)) = w. [para(16030(a,2),7960(a,1))]. given #14747 (H,wt=16): 16086 T(x,K(y,T(z,u))) != w | T(x,K(y,z)) = w. [para(16083(a,2),8002(a,1))]. given #14748 (H,wt=16): 16229 T(x,T(y,T(z,u))) != w | T(x,T(y,z)) = w. [para(7135(a,1),16143(a,1,2))]. given #14749 (H,wt=16): 16239 K(x,T(y,T(z,u))) != w | K(x,T(y,z)) = w. [para(7135(a,1),16173(a,1,2))]. given #14750 (H,wt=16): 16295 K(K(x \ 1,x) * y,z) != u | K(y,z) = u. [para(16266(a,2),5423(a,1))]. given #14751 (H,wt=16): 16303 K(x,K(T(y,z),u)) != w | K(x,K(y,u)) = w. [para(7260(a,2),16037(a,1,2))]. given #14752 (H,wt=17): 16079 K(x,K(y,z * (u \ 1))) = K(x,K(y,u \ z)). [hyper(236,a,12151,a,b,16042,a(flip)),flip(a)]. given #14753 (H,wt=17): 16082 K(x,K(y,(1 / z) * u)) = K(x,K(y,u / z)). [para(14061(a,2),16042(a,2,2)),flip(a)]. given #14754 (H,wt=17): 16093 K(x,K(y,z)) * (u * x) = u * T(x,K(y,z)). [para(16091(a,1),7520(a,2,2))]. given #14755 (H,wt=17): 16094 x * (y * K(x,K(z,u))) = T(x,K(z,u)) * y. [para(16091(a,1),8109(a,1,1)),flip(a)]. given #14756 (H,wt=17): 16098 K(x,K(y * (z \ 1),u)) = K(x,K(u,z \ y)). [para(14068(a,2),16049(a,1,2))]. given #14757 (H,wt=17): 16112 (x \ y) * K(z,K(u,x)) = T(x,K(z,u)) \ y. [hyper(7907,a,16057,a),flip(a)]. given #14758 (H,wt=17): 16113 K(x,K(y,z)) * (u \ x) = u \ T(x,K(y,z)). [hyper(236,a,14432,a(flip),b,16057,a)]. given #14759 (H,wt=17): 16114 K(x,K(y,z)) * (u / x) = u / T(x,K(y,z)). [hyper(236,a,7972,a(flip),b,16057,a)]. given #14760 (H,wt=17): 16120 K(x,K(y,z)) * (u / z) = u / T(z,K(x,y)). [hyper(7915,a,16057,a(flip)),flip(a)]. given #14761 (H,wt=17): 16133 K(x,K(y,z)) * T(x,u) = T(T(x,K(y,z)),u). [hyper(8224,a,16118,a)]. given #14762 (H,wt=17): 16138 K(x,y) * (K(z,u) * x) = K(z,u) * T(x,y). [para(16118(a,1),7520(a,2,2))]. given #14763 (H,wt=17): 16140 (x * K(y,z)) * K(x,u) = T(x,u) * K(y,z). [para(16118(a,1),8089(a,1,1)),flip(a)]. given #14764 (H,wt=17): 16145 T(x,K(y,z) * (u / z)) = T(x,u / T(z,y)). [para(8192(a,1),16118(a,1,2))]. given #14765 (H,wt=17): 16146 T(x,K(y,z) * (u * y)) = T(x,u * T(y,z)). [para(8194(a,1),16118(a,1,2))]. given #14766 (H,wt=17): 16147 T(x,y * (z * K(y,u))) = T(x,T(y,u) * z). [para(8652(a,1),16118(a,1,2))]. given #14767 (H,wt=17): 16148 T(x,T(y / T(z,u),z)) = T(x,T(z,u) \ y). [para(9759(a,1),16118(a,1,2))]. given #14768 (H,wt=17): 16151 K(K(x,y) * (z * x),u) = K(z * T(x,y),u). [hyper(13422,a,16124,a)]. given #14769 (H,wt=17): 16153 K(x,K(y,z)) * K(y * z,x) = K(z * y,x). [hyper(13222,a,16124,a)]. given #14770 (H,wt=17): 16170 T(L(K(x,y),z,u),K(w,v5)) = L(K(x,y),z,u). [para(16124(a,1),7279(a,1,1)),flip(a)]. given #14771 (H,wt=17): 16174 K(x,K(y,z) * (u * y)) = K(x,u * T(y,z)). [para(8194(a,1),16124(a,1,2))]. given #14772 (H,wt=17): 16202 K(x * T(y,z),T(u,y)) = K(T(y,z) * x,u). [hyper(13410,a,16164,a),flip(a)]. given #14773 (H,wt=17): 16203 K(x,T(T(y,z) * u,y)) = K(x,u * T(y,z)). [hyper(13066,a,16164,a),flip(a)]. given #14774 (H,wt=17): 16205 K(x,T(y \ T(z,u),z)) = K(x,T(z,u) / y). [hyper(8189,a,16164,a),flip(a)]. given #14775 (H,wt=17): 16206 K(x,T(T(y,z) \ u,y)) = K(x,u / T(y,z)). [hyper(8187,a,16164,a),flip(a)]. given #14776 (H,wt=17): 16238 K(x,T(y,L(K(z,u),w,v5))) != v6 | K(x,y) = v6. [para(5893(a,1),16173(a,1,2,2))]. given #14777 (H,wt=17): 16253 T(x,y * K(z,z \ u)) = T(x,K(u,z) * y). [hyper(15809,a,16123,a),flip(a)]. given #14778 (H,wt=17): 16254 T(x,y * K(z \ u,z)) = T(x,K(u,z) * y). [hyper(15808,a,16123,a),flip(a)]. given #14779 (H,wt=17): 16256 T(x,K(y,z) * (u / y)) = T(x,u / T(y,z)). [hyper(236,a,15704,a(flip),b,16123,a)]. given #14780 (H,wt=17): 16258 T(x,(y \ z) * K(y,u)) = T(x,T(y,u) \ z). [hyper(236,a,15670,a(flip),b,16123,a(flip))]. given #14781 (H,wt=17): 16259 x / T(x,y * K(z,u)) = K(K(z,u) * y,x). [para(16123(a,1),4826(a,2,2)),flip(a)]. given #14782 (H,wt=17): 16261 T(x,K(y,z) * (u \ y)) = T(x,u \ T(y,z)). [para(14432(a,1),16123(a,2,2))]. given #14783 (H,wt=17): 16265 K(x * K(y,z),x \ y) = K(x,T(x \ y,z)). [hyper(11201,a,16152,a),flip(a)]. given #14784 (H,wt=17): 16267 K(K(x \ 1,y) * z,u) = K(z * K(x,y),u). [hyper(236,a,15847,a(flip),b,16152,a)]. given #14785 (H,wt=17): 16268 K(K(x,y) * (z \ y),u) = K(z \ T(y,x),u). [hyper(236,a,15708,a(flip),b,16152,a)]. given #14786 (H,wt=17): 16269 K(x * K(y,z),x \ K(z,y)) = K(x,x \ 1). [hyper(236,a,15010,a(flip),b,16152,a(flip))]. given #14787 (H,wt=17): 16270 K(x * K(y \ z,y),u) = K(K(z,y) * x,u). [hyper(236,a,13425,a(flip),b,16152,a(flip))]. given #14788 (H,wt=17): 16276 K(x,y * K(z,z * u)) = K(x,K(z,u) * y). [hyper(236,a,13078,a,b,16154,a),flip(a)]. given #14789 (H,wt=17): 16277 K(x,K(y,y \ z) * u) = K(x,u * K(z,y)). [hyper(236,a,15677,a,b,16154,a(flip)),flip(a)]. given #14790 (H,wt=17): 16278 K(x,(y \ z) * K(y,u)) = K(x,T(y,u) \ z). [hyper(236,a,15680,a(flip),b,16154,a(flip))]. given #14791 (H,wt=17): 16280 K(x,K(y,z) * (u \ y)) = K(x,u \ T(y,z)). [para(14432(a,1),16154(a,2,2))]. given #14792 (H,wt=17): 16294 K((x \ y) * K(x,z),u) = K(T(x,z) \ y,u). [para(5204(a,1),16266(a,1,1)),flip(a)]. given #14793 (H,wt=17): 16299 K(x,K(y,z) * (u / y)) = K(x,u / T(y,z)). [para(7555(a,1),16275(a,2,2))]. given #14794 (H,wt=17): 16301 K(K(x * y,x) * z,u) = K(K(x,y) * z,u). [hyper(236,a,13380,a,b,16293,a),flip(a)]. given #14795 (H,wt=17): 16342 K(K(x \ 1,y) * z,u) = K(K(y,x) * z,u). [hyper(236,a,16266,a,b,16267,a)]. given #14796 (H,wt=17): 16343 (x * K(y,z)) * (K(z,y) / x) = K(x,x \ 1). [hyper(236,a,14200,a(flip),b,16269,a(flip)),flip(a)]. given #14797 (H,wt=17): 16345 K(x,y * K(z,z \ u)) = K(x,y * K(u,z)). [hyper(236,a,16154,a(flip),b,16277,a(flip)),flip(a)]. given #14798 (H,wt=18): 16052 K(x,K(y,z / u)) != w | K(x,K(y,u \ z)) = w. [para(16032(a,1),8016(a,1))]. given #14799 (H,wt=18): 16068 K(x,K(y,z \ u)) != w | K(x,K(y,u / z)) = w. [para(16033(a,2),7921(a,1))]. given #14800 (H,wt=18): 16072 K(x,K(y,z * u)) != w | K(y,K(x,u * z)) = w. [para(16039(a,1),7908(a,1))]. given #14801 (H,wt=18): 16073 K(x,K(y,z * u)) != w | K(x,K(y,u * z)) = w. [para(16039(a,1),7960(a,1))]. given #14802 (H,wt=18): 16080 K(x,K(y,z \ u)) != w | K(x,K(y,z / u)) = w. [para(16042(a,1),9361(a,1))]. given #14803 (H,wt=18): 16096 K(x,K(y,z * u)) != w | K(u * z,K(x,y)) = w. [para(16044(a,1),7939(a,1))]. given #14804 (H,wt=18): 16099 K(x,K(y \ z,u)) != w | K(x,K(z / y,u)) = w. [para(16050(a,2),7971(a,1))]. given #14805 (H,wt=18): 16126 K(x,K(y,z)) * u != w | u * K(x,K(y,z)) = w. [para(16109(a,1),220(a,1,2))]. given #14806 (H,wt=18): 16129 x * K(y,K(z,u)) != w | K(y,K(z,u)) * x = w. [para(16109(a,1),8201(a,1,1))]. given #14807 (H,wt=18): 16130 T(x,K(y,z) * u) != w | T(x,u * K(y,z)) = w. [para(16109(a,1),13095(a,1,1))]. given #14808 (H,wt=18): 16139 T(K(x,y),T(z,K(u,w))) != v5 | K(x,T(y,z)) = v5. [para(16118(a,2),7817(a,1))]. given #14809 (H,wt=18): 16144 T(x,K(y,z) / u) != w | T(x,u \ K(y,z)) = w. [para(16118(a,1),8327(a,1))]. given #14810 (H,wt=18): 16168 K(x,y) * K(z,u) != w | K(z,u) * K(x,y) = w. [para(16124(a,1),7283(a,1,2))]. given #14811 (H,wt=18): 16169 K(x,K(y,z) / u) != w | K(x,u \ K(y,z)) = w. [para(16124(a,1),7297(a,1))]. given #14812 (H,wt=18): 16181 K(x,K(y,z) * u) != w | K(x,u * K(y,z)) = w. [para(16124(a,1),13066(a,1))]. given #14813 (H,wt=18): 16182 K(x,y * K(z,u)) != w | K(x,K(z,u) * y) = w. [para(16124(a,1),13098(a,1))]. given #14814 (H,wt=18): 16183 K(K(x,y) * z,u) != w | K(z * K(x,y),u) = w. [para(16124(a,1),13398(a,1))]. given #14815 (H,wt=18): 16184 K(x * K(y,z),u) != w | K(K(y,z) * x,u) = w. [para(16124(a,1),13410(a,1))]. given #14816 (H,wt=18): 16195 K(T(x / y,K(z,u)),w) = K(x / L(y,v5,y),w). [hyper(236,a,13381,a,b,16158,a)]. given #14817 (H,wt=18): 16198 T(x,y \ K(z,u)) != w | T(x,K(z,u) / y) = w. [para(9327(a,1),16128(a,1)),flip(b)]. given #14818 (H,wt=18): 16230 T(x,y * K(z,u)) != w | T(x,K(u,z) \ y) = w. [para(8191(a,1),16143(a,1,2))]. given #14819 (H,wt=18): 16233 T(x,T(y,z * u)) != w | T(x,T(y,u * z)) = w. [para(13063(a,1),16143(a,1,2))]. given #14820 (H,wt=18): 16234 K(x,T(T(y,K(z,u)),w)) != v5 | K(x,T(y,w)) = v5. [para(7278(a,2),16171(a,1))]. given #14821 (H,wt=18): 16236 K(x,y / K(z,u)) != w | K(x,K(z,u) \ y) = w. [para(8056(a,1),16171(a,1))]. given #14822 (H,wt=18): 16240 (K(x,y) * K(z,u)) \ K(z,u) != w | K(y,x) = w. [para(7591(a,2),16173(a,1))]. given #14823 (H,wt=18): 16241 K(x,y * K(z,u)) != w | K(x,K(u,z) \ y) = w. [para(8191(a,1),16173(a,1,2))]. given #14824 (H,wt=18): 16244 K(x,T(y,z \ u)) != w | K(x,T(y,u / z)) = w. [para(8329(a,1),16173(a,1,2))]. given #14825 (H,wt=18): 16246 K(x,T(y,z * u)) != w | K(x,T(y,u * z)) = w. [para(13063(a,1),16173(a,1,2))]. given #14826 (H,wt=16): 16371 K(x,T(y,z)) != u | K(x,T(y,z * x)) = u. [para(7366(a,1),16246(a,1))]. given #14827 (H,wt=18): 16263 T(x,y * K(z,u)) != w | T(x,K(u,z) * y) = w. [para(16123(a,1),15799(a,1))]. given #14828 (H,wt=18): 16274 K(K(x,y) * z,u) != w | K(z * K(y,x),u) = w. [para(16152(a,2),15706(a,1))]. given #14829 (H,wt=18): 16281 K(x,y * K(z,u)) != w | K(x,K(u,z) * y) = w. [para(16154(a,1),15676(a,1))]. given #14830 (H,wt=18): 16284 K(x,y) != z * K(u,w) | K(w,u) * K(x,y) = z. [para(16162(a,1),86(a,1,2)),flip(a),flip(b)]. given #14831 (H,wt=18): 16304 K(x,K(y * z,u)) != w | K(x,K(z * y,u)) = w. [para(13395(a,1),16037(a,1,2))]. given #14832 (H,wt=18): 16305 T(x,K(y,z \ u)) != w | T(x,K(y,u / z)) = w. [para(121(a,1),16086(a,1,2,2))]. given #14833 (H,wt=18): 16306 T(x,K(y,z / u)) != w | T(x,K(y,u \ z)) = w. [para(8066(a,1),16086(a,1,2))]. given #14834 (H,wt=18): 16307 T(x,K(y,z * u)) != w | T(x,K(y,u * z)) = w. [para(13017(a,1),16086(a,1,2))]. given #14835 (H,wt=18): 16308 T(x,T(y,z / u)) != w | T(x,T(y,u \ z)) = w. [para(8151(a,1),16229(a,1,2))]. given #14836 (H,wt=18): 16310 K(x,T(y,z / u)) != w | K(x,T(y,u \ z)) = w. [para(8151(a,1),16239(a,1,2))]. given #14837 (H,wt=18): 16311 K(x,T(y,z * (u \ z))) != w | K(x,T(y,u)) = w. [para(15980(a,2),16239(a,1))]. given #14838 (H,wt=18): 16312 K(x / (1 / y),z) != u | K(x / (y \ 1),z) = u. [para(2742(a,1),16295(a,1,1))]. given #14839 (H,wt=18): 16313 K(x * (1 / (1 / y)),z) != u | K(x * y,z) = u. [para(2845(a,1),16295(a,1,1))]. given #14840 (H,wt=18): 16354 T(K(x,y),z) != u | K(x,y) * K(z,K(y,x)) = u. [para(5841(a,1),16126(a,1))]. given #14841 (H,wt=18): 16355 T(K(x,y),z) != u | K(z,K(y,x)) * K(x,y) = u. [para(5839(a,1),16129(a,1))]. given #14842 (H,wt=18): 16357 T(x,K(y,z) * u) != w | T(x,u * K(z,y)) = w. [para(15661(a,1),16130(a,1))]. given #14843 (H,wt=18): 16358 T(x,y * K(z,u)) != w | T(x,y * K(u,z)) = w. [para(16255(a,1),16130(a,1))]. given #14844 (H,wt=18): 16361 K(x,K(y,z) * u) != w | K(x,u * K(z,y)) = w. [para(15675(a,1),16181(a,1))]. given #14845 (H,wt=18): 16367 K(x * K(y,z),u) != w | K(K(z,y) * x,u) = w. [para(15705(a,1),16184(a,1))]. given #14846 (H,wt=18): 16368 K(K(x,y) * z,u) != w | K(K(y,x) * z,u) = w. [para(16266(a,2),16184(a,1))]. given #14847 (H,wt=18): 16373 K(x,T(y,z \ u)) != w | K(x,T(y,z * u)) = w. [para(15981(a,2),16246(a,1))]. given #14848 (H,wt=18): 16378 T(x,K(y / z,u)) != w | T(x,K(u,z \ y)) = w. [para(7981(a,1),16306(a,1))]. given #14849 (H,wt=18): 16382 K(x,K(y,z)) != u | K(K(w,y) * x,K(y,z)) = u. [para(8213(a,1),16367(a,1))]. given #14850 (H,wt=18): 16385 K(x,T(y,z / u)) != w | K(x,T(y,u * z)) = w. [para(16002(a,2),16373(a,1))]. given #14851 (H,wt=19): 16038 K(x,T(y,z)) * K(y,K(x,u)) = K(x,T(T(y,z),u)). [para(16030(a,1),7955(a,1,2))]. given #14852 (H,wt=19): 16074 x * (y * K(z,K(u,y * x))) = T(x * y,K(z,u)). [para(16039(a,1),14118(a,1,2,2))]. given #14853 (H,wt=19): 16101 K(x,y / x) * K(y,K(z,x)) = K(x,T(y / x,z)). [hyper(9678,a,16051,a),flip(a)]. given #14854 (H,wt=19): 16105 K(x,K(y / z,(z \ u) * y)) = K(x,K(u,y / z)). [hyper(236,a,10669,a(flip),b,16053,a(flip)),flip(a)]. given #14855 (H,wt=19): 16107 (K(x,y) * z) * K(x,K(y,u)) = K(x,T(y,u)) * z. [hyper(9157,a,16057,a),flip(a)]. given #14856 (H,wt=19): 16115 K(x,K(y,z)) * (u * K(x,y)) = u * T(K(x,y),z). [hyper(236,a,7909,a(flip),b,16057,a)]. given #14857 (H,wt=19): 16117 x * (K(y,K(z,u)) * w) = x * (w * K(y,K(z,u))). [hyper(21,a,16057,a)]. given #14858 (H,wt=19): 16122 K(x,K(y,z * u)) * w = w * K(x,K(y,u * z)). [para(16044(a,1),16057(a,1,1))]. given #14859 (H,wt=19): 16199 (x / T(y,K(z,u))) * y = y * (T(y,K(z,u)) \ x). [para(121(a,1),16108(a,1,2)),flip(a)]. given #14860 (H,wt=19): 16249 K(x,y) * (K(y,T(x,z)) * u) = u * K(x,K(y,z)). [hyper(12384,a,16102,a)]. given #14861 (H,wt=19): 16252 K(x,K(y,z)) \ T(u,x) = x \ (u * T(x,K(y,z))). [hyper(236,a,7132,a,b,16111,a)]. given #14862 (H,wt=19): 16264 K(x * K(y,z),u / x) = K(x * K(y,z),x \ u). [hyper(13423,a,16152,a),flip(a)]. given #14863 (H,wt=19): 16300 K(x,K(y,z) * (u * (y * z))) = K(x,u * (z * y)). [para(10676(a,1),16275(a,2,2))]. given #14864 (H,wt=19): 16318 T(x,K(y,z)) \ (u * x) = x \ (u * T(x,K(y,z))). [hyper(72,a,16093,a(flip),b,7963,a),flip(a)]. given #14865 (H,wt=19): 16320 T(x,K(y,z)) * (u / T(x,K(y,z))) = x * (u / x). [para(6197(a,1),16094(a,1,2)),flip(a)]. given #14866 (H,wt=19): 16335 K(x / y,T(y,z) * u) = K(y \ x,u * T(y,z)). [hyper(8184,a,16203,a)]. given #14867 (H,wt=19): 16337 T(x,K(y,z) * (u * y)) = T(x,u * (z * (y / z))). [para(10662(a,1),16253(a,1,2)),flip(a)]. given #14868 (H,wt=19): 16338 T(x,y \ (z * (u / z))) = T(x,K(u,z) * (y \ u)). [para(15624(a,1),16253(a,1,2))]. given #14869 (H,wt=17): 16397 T(x,y \ (z * (u / z))) = T(x,y \ T(u,z)). [hyper(236,a,16261,a(flip),b,16338,a)]. given #14870 (H,wt=19): 16339 T(x,y \ K(z \ u,z)) = T(x,K(u,z) * (1 / y)). [hyper(14300,a,16254,a)]. given #14871 (H,wt=17): 16398 T(x,y \ K(z \ u,z)) = T(x,K(u,z) / y). [hyper(236,a,14244,a(flip),b,16339,a)]. given #14872 (H,wt=17): 16399 T(x,y \ K(z \ u,z)) = T(x,y \ K(u,z)). [hyper(236,a,16125,a(flip),b,16398,a)]. given #14873 (H,wt=19): 16340 T(x,K(y,z) * (u * y)) = T(x,u * ((z \ y) * z)). [para(10659(a,1),16254(a,1,2)),flip(a)]. given #14874 (H,wt=17): 16401 T(x,y * ((z \ u) * z)) = T(x,y * T(u,z)). [hyper(236,a,16146,a(flip),b,16340,a(flip))]. given #14875 (H,wt=19): 16344 K(K(x,y) * (z / (y \ x)),u) = K(z / (x / y),u). [para(6360(a,1),16270(a,1,1)),flip(a)]. given #14876 (H,wt=19): 16346 K(x,y \ (z * (u / z))) = K(x,K(u,z) * (y \ u)). [hyper(236,a,15783,a,b,16280,a),flip(a)]. given #14877 (H,wt=19): 16347 K(x,(T(y,z) \ u) \ 1) = K(x,K(y,z) * (u \ y)). [hyper(236,a,6408,a,b,16280,a),flip(a)]. given #14878 (H,wt=19): 16386 K(x,K(y,z)) * (u * K(x,y)) = u * K(x,T(y,z)). [hyper(236,a,7276,a,b,16115,a)]. given #14879 (H,wt=19): 16387 (x * (K(y,K(z,u)) * w)) / (w * K(y,K(z,u))) = x. [hyper(555,a,16117,a)]. given #14880 (H,wt=19): 16391 (x * y) / T(y,K(z,u)) = y * (T(y,K(z,u)) \ x). [hyper(236,a,1141,a,b,16199,a(flip)),flip(a)]. given #14881 (H,wt=19): 16393 K(x,K(y,z)) \ T(u,z) = z \ (u * T(z,K(x,y))). [para(7923(a,2),16252(a,1,1))]. given #14882 (H,wt=19): 16402 K(x * ((y \ z) * y),u) = u / T(u,x * T(z,y)). [para(16401(a,1),4826(a,2,2))]. given #14883 (H,wt=20): 16121 x * (y * K(z,K(x,u))) != w | T(x,K(z,u)) * y = w. [para(16057(a,1),7928(a,1,2))]. given #14884 (H,wt=20): 16175 K(x,y) * (K(z,u) * x) != w | K(z,u) * T(x,y) = w. [para(16124(a,1),8469(a,1,1))]. given #14885 (H,wt=20): 16176 L(K(x,y),x,z) = (x * K(u,w)) \ (T(x,y) * K(u,w)). [para(16124(a,1),8583(a,1,1))]. given #14886 (H,wt=20): 16216 K(x \ T(y,z),T(u,y)) != w | K(T(y,z) / x,u) = w. [para(16164(a,1),8171(a,1))]. given #14887 (H,wt=20): 16217 K(x / T(y,z),T(u,y)) != w | K(T(y,z) \ x,u) = w. [para(16164(a,1),8178(a,1))]. given #14888 (H,wt=20): 16218 K(T(x,y) \ z,T(u,x)) != w | K(z / T(x,y),u) = w. [para(16164(a,1),8184(a,1))]. given #14889 (H,wt=20): 16219 K(x,T(T(y,z) \ u,y)) != w | K(x,u / T(y,z)) = w. [para(16164(a,1),8187(a,1))]. given #14890 (H,wt=20): 16220 K(x,T(y \ T(z,u),z)) != w | K(x,T(z,u) / y) = w. [para(16164(a,1),8189(a,1))]. given #14891 (H,wt=20): 16221 K(x * T(y,z),T(u,y)) != w | K(T(y,z) * x,u) = w. [para(16164(a,1),13410(a,1))]. given #14892 (H,wt=20): 16222 K(x * y,T(x,z)) * K(x,T(y,T(z,u))) = a(x,y,x). [para(16164(a,1),16022(a,1,1))]. given #14893 (H,wt=20): 16231 T(x,K(y,z) * (u / z)) != w | T(x,u / T(z,y)) = w. [para(8192(a,1),16143(a,1,2))]. given #14894 (H,wt=20): 16232 T(x,K(y,z) * (u * y)) != w | T(x,u * T(y,z)) = w. [para(8194(a,1),16143(a,1,2))]. given #14895 (H,wt=20): 16235 K(x,L(T(y,K(z,u)),w,v5)) != v6 | K(x,L(y,w,v5)) = v6. [para(7280(a,2),16171(a,1))]. given #14896 (H,wt=20): 16237 K((T(x,y) \ z) * K(x,y),u) != w | K(x \ z,u) = w. [para(8198(a,2),16172(a,1,1))]. given #14897 (H,wt=20): 16242 K(x,K(y,z) * (u / z)) != w | K(x,u / T(z,y)) = w. [para(8192(a,1),16173(a,1,2))]. given #14898 (H,wt=20): 16243 K(x,K(y,z) * (u * y)) != w | K(x,u * T(y,z)) = w. [para(8194(a,1),16173(a,1,2))]. given #14899 (H,wt=20): 16260 x / T(x,y * K(z,u)) != w | K(K(z,u) * y,x) = w. [para(16123(a,1),4928(a,1,2))]. given #14900 (H,wt=20): 16352 K(x,K(y,(1 / z) * u)) != w | K(x,K(y,u / z)) = w. [para(14061(a,2),16068(a,1,2))]. given #14901 (H,wt=20): 16362 K(x,K(y \ 1,z) * u) != w | K(x,u * K(y,z)) = w. [para(15828(a,2),16181(a,1))]. given #14902 (H,wt=20): 16363 K(x,K(y,z \ 1) * u) != w | K(x,u * K(z,y)) = w. [para(15830(a,2),16181(a,1))]. given #14903 (H,wt=20): 16364 K(x,y * K(z,z * u)) != w | K(x,K(z,u) * y) = w. [para(13078(a,2),16182(a,1))]. given #14904 (H,wt=20): 16370 K(x,T(y,z * (u \ 1))) != w | K(x,T(y,z / u)) = w. [para(15997(a,2),16244(a,1))]. given #14905 (H,wt=20): 16372 K(x,T(y,z / (1 / u))) != w | K(x,T(y,u * z)) = w. [para(14247(a,2),16246(a,1,2))]. given #14906 (H,wt=20): 16379 K(x,T(y,z * (u \ 1))) != w | K(x,T(y,u \ z)) = w. [para(12195(a,2),16310(a,1))]. given #14907 (H,wt=18): 16419 K(x,T(y,z \ 1)) != u | K(x,T(y,z \ x)) = u. [para(7366(a,1),16379(a,1))]. given #14908 (H,wt=20): 16381 K(x,y * K(z,u)) != w | K(x,y * K(u \ z,u)) = w. [para(16277(a,1),16361(a,1))]. given #14909 (H,wt=20): 16383 K(K(x \ 1,y) * z,u) != w | K(K(y,x) * z,u) = w. [para(16267(a,2),16367(a,1))]. given #14910 (H,wt=20): 16384 K(K(x * y,x) * z,u) != w | K(K(x,y) * z,u) = w. [para(13380(a,2),16368(a,1))]. given #14911 (H,wt=20): 16400 T(x,y \ K(z \ u,z)) != w | T(x,y \ K(u,z)) = w. [para(16398(a,2),16144(a,1))]. given #14912 (H,wt=20): 16403 K(x,K(y,z) * (u \ y)) != w | K(x,u \ T(y,z)) = w. [para(16347(a,1),6474(a,1))]. given #14913 (H,wt=20): 16406 K(x * ((y \ z) * y),u) != w | K(x * T(z,y),u) = w. [para(16402(a,2),4928(a,1))]. given #14914 (H,wt=19): 16422 K(x \ ((y \ z) * y),u) = K((x \ 1) * T(z,y),u). [hyper(16406,a,14109,a),flip(a)]. given #14915 (H,wt=17): 16423 K(x \ ((y \ z) * y),u) = K(x \ T(z,y),u). [hyper(236,a,14109,a(flip),b,16422,a)]. given #14916 (H,wt=17): 16424 K(x \ T(y * z,y),u) = K(x \ (z * y),u). [para(13(a,1),16423(a,1,1,2,1)),flip(a)]. given #14917 (H,wt=18): 16426 K(x \ ((y \ z) * y),y) != u | K(x \ z,y) = u. [para(16423(a,2),7503(a,1))]. given #14918 (H,wt=18): 16428 K((x \ y) \ (x \ z),x) != u | K(y \ z,x) = u. [para(8529(a,2),16426(a,1))]. given #14919 (H,wt=18): 16429 K(x * (y \ (x \ z)),x) != u | K(y \ z,x) = u. [para(10856(a,1),16426(a,1))]. given #14920 (H,wt=20): 16410 T(x,K(y,z) * (u * z)) != w | T(x,u * T(z,y)) = w. [para(15661(a,1),16232(a,1))]. given #14921 (H,wt=20): 16411 T(x,y * (z * (u / z))) != w | T(x,y * T(u,z)) = w. [para(16337(a,1),16232(a,1))]. given #14922 (H,wt=20): 16414 K(x,K(y,z) * (u / y)) != w | K(x,u / T(y,z)) = w. [para(15675(a,1),16242(a,1))]. given #14923 (H,wt=20): 16415 K(x,K(y,z * (1 / u))) != w | K(x,K(y,z / u)) = w. [para(16044(a,1),16352(a,1))]. given #14924 (H,wt=20): 16416 K(x,y * K(z \ 1,u)) != w | K(x,y * K(z,u)) = w. [para(16154(a,1),16362(a,1))]. given #14925 (H,wt=20): 16417 K(x,y * K(z,u \ 1)) != w | K(x,y * K(u,z)) = w. [para(16275(a,1),16362(a,1))]. given #14926 (H,wt=20): 16418 K(x,K(y,y * z) * u) != w | K(x,K(y,z) * u) = w. [para(16154(a,2),16364(a,1))]. given #14927 (H,wt=20): 16420 K(K(x,x * y) * z,u) != w | K(K(x,y) * z,u) = w. [para(16293(a,1),16384(a,1))]. given #14928 (H,wt=20): 16421 K(x,y \ (z * (u / z))) != w | K(x,y \ T(u,z)) = w. [para(16346(a,2),16403(a,1))]. given #14929 (H,wt=20): 16433 K(K(x,y * x) * z,u) != w | K(K(x,y) * z,u) = w. [para(6605(a,2),16420(a,1,1,1))]. given #14930 (H,wt=21): 16029 K(x,L(T(y,z / u),w,v5)) = K(x,L(T(y,u * z),w,v5)). [para(40(a,2),16013(a,2,2)),flip(a)]. given #14931 (H,wt=21): 16045 K(x,K(y,z)) * K(x,T(y,u) * z) = K(x,z * T(y,u)). [para(16031(a,1),13238(a,1,1))]. given #14932 (H,wt=21): 16046 K(x,K(y,z)) * K(x,z * T(y,u)) = K(x,T(y,u) * z). [para(16031(a,1),13240(a,1,1))]. given #14933 (H,wt=21): 16054 K(x,y * T(z,u)) * K(x,K(z,y)) = K(x,T(z,u) * y). [para(16032(a,1),13242(a,1,2))]. given #14934 (H,wt=21): 16061 K(x,y \ T(z,u)) * K(x,K(y,z)) = K(x,T(z,u) / y). [para(16034(a,1),9380(a,1,2))]. given #14935 (H,wt=21): 16062 K(x,y / T(z,u)) * K(x,K(y,z)) = K(x,T(z,u) \ y). [para(16034(a,1),9411(a,1,2))]. given #14936 (H,wt=21): 16075 T(x * K(y,K(z,x * u)),u) = u \ T(x * u,K(y,z)). [para(16039(a,1),14120(a,1,1,2))]. given #14937 (H,wt=21): 16131 T(x / (y * K(z,K(u,w))),y) = (K(z,K(u,w)) * y) \ x. [para(16109(a,1),15617(a,2,2))]. given #14938 (H,wt=21): 16135 (K(x,y) \ z) * K(z / K(x,y),u) = T(K(x,y) \ z,u). [hyper(236,a,8122,a,b,16118,a(flip)),flip(a)]. given #14939 (H,wt=21): 16136 T((x / y) * T(y,z),x / y) = T(x * K(y,z),y \ x). [hyper(236,a,7157,a(flip),b,16118,a(flip)),flip(a)]. given #14940 (H,wt=21): 16197 K((K(x,y) * z) * T(u,z),w) = K(u * (z * K(x,y)),w). [para(15437(a,1),16158(a,1,1)),flip(a)]. given #14941 (H,wt=21): 16213 K(x,T(T(y * T(z,u),w),z)) = K(x,T(T(z,u) * y,w)). [hyper(236,a,13043,a(flip),b,16164,a(flip))]. given #14942 (H,wt=21): 16228 T(K(x,y) * z,T(z,u)) = (z * (z * K(x,T(y,z)))) / z. [para(16204(a,1),13323(a,1,1,2,2)),flip(a)]. given #14943 (H,wt=19): 16445 T(K(x,y) * z,T(z,u)) = (z * (K(x,y) * z)) / z. [para(7281(a,1),16228(a,2,1,2))]. given #14944 (H,wt=15): 16447 T(K(x,y) * z,T(z,u)) = z * K(x,y). [hyper(236,a,13313,a(flip),b,16445,a)]. given #14945 (H,wt=21): 16257 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,x * K(u,z)). [hyper(236,a,15654,a,b,16123,a(flip)),flip(a)]. given #14946 (H,wt=21): 16262 T(x * T(y,K(z,u)),K(z,u)) = y * T(x,y * K(z,u)). [para(16123(a,1),15662(a,2,2))]. given #14947 (H,wt=21): 16271 K(K(x,x \ y) * (z * y),u) = K(z * (x * (y / x)),u). [para(10662(a,1),16152(a,2,1))]. given #14948 (H,wt=21): 16272 K((x \ y) * K(z,z \ x),u) = K(((z \ x) * z) \ y,u). [para(11060(a,1),16152(a,1,1)),flip(a)]. given #14949 (H,wt=19): 16453 K(((x \ y) * x) \ z,u) = K((y \ z) * K(y,x),u). [hyper(236,a,15798,a(flip),b,16272,a(flip))]. given #14950 (H,wt=17): 16454 K(((x \ y) * x) \ z,u) = K(T(y,x) \ z,u). [hyper(236,a,16294,a(flip),b,16453,a)]. given #14951 (H,wt=21): 16279 K(x,K(y \ z,y) * (u * z)) = K(x,u * ((y \ z) * y)). [para(10659(a,1),16154(a,2,2))]. given #14952 (H,wt=19): 16455 K(x,K(y,z) * (u * y)) = K(x,u * ((z \ y) * z)). [hyper(13176,a,16279,a)]. given #14953 (H,wt=17): 16456 K(x,y * ((z \ u) * z)) = K(x,y * T(u,z)). [hyper(16243,a,16455,a),flip(a)]. given #14954 (H,wt=20): 16457 K(x,y * ((z \ u) * z)) != w | K(x,y * T(u,z)) = w. [para(16455(a,1),16243(a,1))]. given #14955 (H,wt=21): 16283 K(x,T(1 / (y * z),y)) = K(x,K(z,1 / z) / (z * y)). [hyper(236,a,15442,a,b,16156,a),flip(a)]. given #14956 (H,wt=17): 16459 K(x,T(1 / (y * z),y)) = K(x,1 / (z * y)). [hyper(236,a,5492,a(flip),b,16283,a)]. given #14957 (H,wt=17): 16460 K(x,y / (y * (y * z))) = K(x,1 / (z * y)). [hyper(8564,a,16459,a)]. given #14958 (H,wt=21): 16287 K(x,y) * K(z / (z / u),w) = K(u,T(w,z)) * K(x,y). [para(8074(a,1),16165(a,1,1)),flip(a)]. given #14959 (H,wt=21): 16296 K(K(x,x \ y) * (z * y),u) = K(z * ((x \ y) * x),u). [para(10659(a,1),16266(a,2,1))]. given #14960 (H,wt=19): 16463 K(x * ((y \ z) * y),u) = K(x * (y * (z / y)),u). [hyper(236,a,16271,a(flip),b,16296,a(flip))]. given #14961 (H,wt=19): 16464 K(x * (y * ((y * z) / y)),u) = K(x * (z * y),u). [para(13(a,1),16463(a,1,1,2,1)),flip(a)]. given #14962 (H,wt=17): 16466 K(x * (T(y,z) * z),u) = K(x * (z * y),u). [para(163(a,1),16464(a,1,1,2,2)),flip(a)]. given #14963 (H,wt=20): 16465 K(x * (y * (z / y)),u) != w | K(x * T(z,y),u) = w. [para(16463(a,1),16406(a,1))]. given #14964 (H,wt=19): 16468 K(x \ (y * (z / y)),u) = K((x \ 1) * T(z,y),u). [hyper(16465,a,14109,a),flip(a)]. given #14965 (H,wt=17): 16469 K(x \ (y * (z / y)),u) = K(x \ T(z,y),u). [hyper(236,a,14109,a(flip),b,16468,a)]. given #14966 (H,wt=20): 16470 K(x \ (y * (z / y)),u) != w | K(x \ T(z,y),u) = w. [para(16468(a,2),14116(a,1))]. given #14967 (H,wt=21): 16324 (x * T(y,z)) * K(x * y,u) = T(x * y,u) * K(y,z). [para(6201(a,1),16140(a,1,1))]. given #14968 (H,wt=21): 16333 T(L(K(x,y),z,u),w / v5) = T(L(K(x,y),z,u),v5 \ w). [para(16170(a,1),9342(a,1,1))]. given #14969 (H,wt=21): 16351 K(x,(T(y \ z,u) / u) * K(z,y)) = K(x,u \ (z / y)). [hyper(236,a,14367,a(flip),b,16345,a(flip))]. given #14970 (H,wt=21): 16441 (K(x,y) * z) * K(z / K(y,x),u) = T(K(y,x) \ z,u). [para(5260(a,1),16135(a,1,1))]. given #14971 (H,wt=21): 16450 T(x / T(y,K(z,u)),y * K(u,z)) = y \ T(x,K(z,u)). [para(16(a,1),16257(a,1,2,1)),flip(a)]. given #14972 (H,wt=21): 16451 T(x * T(y,x * K(z,u)),K(z,u)) = y * T(x,K(z,u)). [para(16262(a,1),7983(a,1,1))]. given #14973 (H,wt=21): 16473 (K(x,y) * z) * K(z * K(x,y),u) = T(K(y,x) \ z,u). [para(7547(a,1),16441(a,1,2,1))]. given #14974 (H,wt=21): 16474 T(x / T(y,K(z,u)),K(z,u) \ y) = y \ T(x,K(z,u)). [hyper(16230,a,16450,a)]. given #14975 (H,wt=21): 16475 T(x / T(y,K(z,u)),y / K(z,u)) = y \ T(x,K(z,u)). [para(7547(a,2),16450(a,1,2))]. given #14976 (H,wt=21): 16478 (K(x,y) * z) * K(z,y \ 1) = T(K(y,x) \ z,y \ 1). [para(9654(a,1),16473(a,1,2))]. given #14977 (H,wt=19): 16481 T(K(x,y) \ z,x \ 1) = K(y,x) * T(z,x \ 1). [hyper(6258,a,16478,a),flip(a)]. given #14978 (H,wt=19): 16482 T(K(x,y) * z,y \ 1) = K(x,y) * T(z,y \ 1). [para(5260(a,1),16481(a,1,1))]. given #14979 (H,wt=22): 15988 K(x * (y \ z),T(u,z * y)) != w | K((y \ z) * x,u) = w. [para(15979(a,1),13424(a,1))]. given #14980 (H,wt=22): 16009 K(x / (y / z),T(u,z \ y)) != w | K((y / z) \ x,u) = w. [para(16002(a,1),8178(a,1))]. given #14981 (H,wt=22): 16060 K(x,K(y,L(z / u,u,w))) = K(x,K(y,(w * u) \ (w * z))). [para(8136(a,1),16034(a,1,2))]. given #14982 (H,wt=22): 16067 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,u / (z * y))). [hyper(236,a,11567,a,b,16033,a(flip)),flip(a)]. given #14983 (H,wt=22): 16087 T(x,K(y,z)) * K(z,T(y,u)) != w | K(z,T(y,u)) * x = w. [para(16083(a,1),8201(a,1,1))]. given #14984 (H,wt=22): 16095 K(x,K(y,(z * u) * R(w,z,u))) = K(x,K(y,(w * z) * u)). [para(113(a,1),16044(a,1,2,2)),flip(a)]. given #14985 (H,wt=22): 16100 K(x,K(y,(z * u) / (z * (u / w)))) = K(x,K(w,L(y,u,z))). [para(11478(a,1),16050(a,1,2)),flip(a)]. given #14986 (H,wt=22): 16103 K(x,y / x) * K(y,K(z,x)) != u | K(x,T(y / x,z)) = u. [para(16051(a,1),9678(a,1))]. given #14987 (H,wt=22): 16127 x * (K(y,K(z,u)) * w) != v5 | x * (w * K(y,K(z,u))) = v5. [para(16109(a,1),535(a,1,2,2))]. given #14988 (H,wt=22): 16178 K(x,K(y,L(z,u,w)) * (w * u)) = K(x,w * (u * K(y,z))). [para(11578(a,1),16124(a,1,2)),flip(a)]. given #14989 (H,wt=22): 16247 K(x,K(y,(z * u) / (z * (u * w)))) = K(x,K(y,L(w,u,z))). [para(28(a,2),16077(a,2,2,2))]. given #14990 (H,wt=22): 16290 K(x / y,T(x,z) \ u) != w | K(y \ x,u / T(x,z)) = w. [para(16210(a,1),8187(a,1))]. given #14991 (H,wt=22): 16314 K((x * (1 / y)) \ z,u) != w | K((x * (y \ 1)) \ z,u) = w. [para(4604(a,1),16295(a,1,1))]. given #14992 (H,wt=22): 16356 T(T(x,K(y,z)),K(z,u)) != w | T(x,K(y,z) * K(z,u)) = w. [para(12415(a,2),16130(a,1))]. given #14993 (H,wt=22): 16380 K((1 / (1 / x)) * y,1 / x) != z | K(y * x,1 / x) = z. [para(7088(a,2),16313(a,1))]. given #14994 (H,wt=22): 16389 (x * (K(y,K(z,u)) * w)) / (w * K(y,K(z,u))) != v5 | v5 = x. [para(16117(a,2),296(a,1,1))]. given #14995 (H,wt=22): 16404 K(x,K(y,z)) * (u * K(x,y)) != u * w | K(x,T(y,z)) = w. [para(16386(a,2),19(a,1))]. given #14996 (H,wt=22): 16405 x * (y * K(z,K(u,w))) != v5 | x * (K(z,K(u,w)) * y) = v5. [para(16387(a,1),221(a,1,1)),flip(b)]. given #14997 (H,wt=22): 16412 K(x,L(T(y,T(z,u)),w,v5)) != v6 | K(x,L(T(y,z),w,v5)) = v6. [para(7135(a,1),16235(a,1,2,1))]. given #14998 (H,wt=22): 16483 K(x,K(y,L(z / u,u,w))) = K(x,K(y,(w * z) / (w * u))). [hyper(236,a,16042,a,b,16060,a)]. given #14999 (H,wt=22): 16484 K(x,K((y \ z) / u,L(w,u,y))) = K(x,K(w,z / (y * u))). [hyper(16099,a,16067,a)]. given #15000 (H,wt=22): 16488 K(x,K(y,(z * (u * w)) / (z * w))) = K(x,K(y,L(u,w,z))). [para(15(a,1),16483(a,1,2,2,1)),flip(a)]. given #15001 (H,wt=23): 15982 K(x \ (y * z),T(x / y,z * x)) = K(x \ (y * z),y \ x). [hyper(236,a,11239,a(flip),b,15979,a(flip))]. given #15002 (H,wt=23): 15983 K(x * y,x) \ K(x * y,T(x,z * u)) = K(x,K(y,z \ u)). [hyper(72,a,15979,a(flip),b,9225,a)]. given #15003 (H,wt=23): 16020 K((x * (1 / y)) \ z,T(u,y \ x)) = K(z / (x * (1 / y)),u). [para(14239(a,1),15993(a,1,2))]. given #15004 (H,wt=23): 16069 K(x,K(y,z \ u)) * K(x,y / (u / z)) = K(x,(u / z) \ y). [para(16033(a,2),9409(a,1,1))]. given #15005 (H,wt=23): 16081 K(x,K(y,z \ u)) * K(x,(u / z) * y) = K(x,y * (u / z)). [para(16042(a,1),13240(a,1,1))]. given #15006 (H,wt=23): 16248 K(x,y * (z / u)) * K(x,K(y,z \ u)) = K(x,(z / u) * y). [para(16077(a,1),13242(a,1,2))]. given #15007 (H,wt=23): 16425 T(x,y \ ((z \ u) * z)) = (x * w) / (K(y \ T(u,z),x) * w). [para(16423(a,1),5354(a,1,2,1)),flip(a)]. given #15008 (H,wt=17): 16494 T(x,y \ ((z \ u) * z)) = T(x,y \ T(u,z)). [hyper(236,a,5354,a(flip),b,16425,a)]. given #15009 (H,wt=23): 16438 K(x,y \ T(z,u)) * K(x,K(y,z)) = K(x,T(z,u) * (y \ 1)). [hyper(236,a,14060,a,b,16061,a)]. given #15010 (H,wt=23): 16439 K(x,y \ T(z,u)) * K(x,K(y,z)) = K(x,T(z,z * u) / y). [para(13087(a,1),16061(a,1,1))]. given #15011 (H,wt=17): 16496 K(x,T(y,y * z) / u) = K(x,T(y,z) / u). [hyper(236,a,16061,a(flip),b,16439,a(flip))]. given #15012 (H,wt=23): 16444 L(x,y,T(z * K(u,w),u \ z)) = L(x,y,T(u,w) * (z / u)). [para(16136(a,1),13502(a,1,3))]. given #15013 (H,wt=23): 16458 K(x,y * ((z / u) * K(u \ 1,z))) = K(x,y * T(z / u,z)). [para(5151(a,1),16456(a,1,2,2))]. given #15014 (H,wt=21): 16497 K(x,y * ((z / u) * K(u \ 1,z))) = K(x,y * (u \ z)). [hyper(236,a,13134,a(flip),b,16458,a)]. given #15015 (H,wt=23): 16467 T(x,y * (T(z,u) * u)) = (x * w) / (K(y * (u * z),x) * w). [para(16466(a,1),5354(a,1,2,1)),flip(a)]. given #15016 (H,wt=20): 16498 T(x,y * (T(z,u) * u)) != w | T(x,y * (u * z)) = w. [para(16467(a,2),5356(a,1))]. given #15017 (H,wt=23): 16476 T((x / y) * K(y,K(z,u)),y * K(u,z)) = y \ T(x,K(z,u)). [para(7972(a,2),16450(a,1,1))]. given #15018 (H,wt=23): 16486 K(x / y,(y \ T(x,y)) \ z) = K(y \ x,(y * z) / T(x,y)). [hyper(16290,a,13451,a(flip)),flip(a)]. given #15019 (H,wt=23): 16490 K(x,x * y) * K(x * y,T(x,z * u)) = K(x,K(y,z \ u)). [hyper(5286,a,15983,a)]. given #15020 (H,wt=17): 16501 K(x,K(x * y,z * u)) = K(x,K(y,z \ u)). [hyper(8043,a,16490,a)]. given #15021 (H,wt=15): 16502 K(x,K(y,z \ u)) = K(x,K(y,z * u)). [hyper(9226,a,16501,a),flip(a)]. given #15022 (H,wt=15): 16503 K(x,K(y,z / u)) = K(x,K(y,z * u)). [hyper(16080,a,16502,a)]. given #15023 (H,wt=15): 16504 K(x,K(y,z \ u)) = K(x,K(y,u * z)). [hyper(9287,a,16502,a)]. given #15024 (H,wt=15): 16508 K(x,K(y,T(x,z) / u)) = K(x,K(y,u)). [hyper(236,a,9202,a(flip),b,16503,a)]. given #15025 (H,wt=16): 16505 K(x,K(y,x * z)) != u | K(x,K(y,z)) = u. [para(16502(a,1),9213(a,1))]. given #15026 (H,wt=18): 16507 K(x,K(y,z \ u)) != w | K(x,K(y,u * z)) = w. [para(16502(a,2),16073(a,1))]. given #15027 (H,wt=18): 16509 K(x,K(y,z * (u * z))) != w | K(x,K(y,u)) = w. [para(16503(a,1),9283(a,1))]. given #15028 (H,wt=18): 16513 K(x,K(y,T(x,z) * u)) != w | K(x,K(y,u)) = w. [para(8215(a,2),16505(a,1))]. given #15029 (H,wt=21): 16512 (T(x,y) / z) * K(x,K(u,z)) = T(T(x,y) / z,K(u,x)). [para(16508(a,1),7893(a,1,2))]. given #15030 (H,wt=19): 16514 T(x,y) / T(z,K(x,u)) = T(T(x,y) / z,K(u,x)). [hyper(7915,a,16512,a)]. given #15031 (H,wt=19): 16515 T(x,y) / T(z,K(x,u)) = T(T(x,y) / z,K(x,u)). [hyper(236,a,7981,a,b,16514,a)]. given #15032 (H,wt=23): 16491 K((x * (y \ 1)) \ z,T(u,y \ x)) = K(z / (x * (1 / y)),u). [hyper(16314,a,16020,a)]. given #15033 (H,wt=23): 16499 T(x * K(y,K(z,u)),y * K(u,z)) = y \ T(x * y,K(z,u)). [para(15(a,1),16476(a,1,1,1))]. given #15034 (H,wt=23): 16506 K(x,K(y,z * u)) * K(x,y * (z \ u)) = K(x,(z \ u) * y). [para(16502(a,1),13238(a,1,1))]. given #15035 (H,wt=23): 16511 K(x,y * (z / u)) * K(x,K(y,u * z)) = K(x,(z / u) * y). [para(16504(a,1),16248(a,1,2))]. given #15036 (H,wt=23): 16517 T(x * K(y,K(z,u)),K(z,u) * y) = y \ T(x * y,K(z,u)). [hyper(16263,a,16499,a)]. given #15037 (H,wt=23): 16519 T(K(x,K(y,z)) * u,K(y,z) * x) = x \ T(u * x,K(y,z)). [para(16057(a,2),16517(a,1,1))]. given #15038 (H,wt=24): 15994 K(L(x,y,z),T(T(u,y),y * z)) = K((z * (x * y)) / (z * y),u). [hyper(236,a,9798,a(flip),b,15991,a)]. given #15039 (H,wt=24): 16005 K(x,L((y / z) \ u,y / z,z)) = K(x,T((u * z) / y,z \ y)). [hyper(15391,a,16002,a)]. given #15040 (H,wt=24): 16319 K(x,K(y,z)) * (u * x) != w * v5 | w \ (u * T(x,K(y,z))) = v5. [para(16093(a,2),545(a,1))]. given #15041 (H,wt=24): 16325 T(x,T(y \ 1,z) * u) != w | T(x,y \ (u * K(y \ 1,z))) = w. [para(16147(a,1),14260(a,1))]. given #15042 (H,wt=24): 16332 L(K(x,y),z,u) * K(w,v5) != v6 | K(w,v5) * L(K(x,y),z,u) = v6. [para(16170(a,1),7674(a,1,1))]. given #15043 (H,wt=24): 16359 (x * K(y,z)) * (1 / x) != u | K(y,z) * K(x,x \ K(z,y)) = u. [para(14935(a,1),16168(a,1))]. given #15044 (H,wt=24): 16365 K(x,(T(y,z) / z) * K(u,w)) != v5 | K(x,K(u,w) * (z \ y)) = v5. [para(13152(a,2),16182(a,1))]. given #15045 (H,wt=19): 16523 K(x,K(y,z) * (u \ (z \ y))) = K(x,u \ (y / z)). [hyper(16365,a,16351,a)]. given #15046 (H,wt=24): 16369 K(T(x / (y \ z),K(u,w)),v5) = K(x / L(y \ z,v6,z / y),v5). [para(11306(a,2),16195(a,2,1,2))]. given #15047 (H,wt=22): 16524 L(K(x \ y,z),u,x / y) = K(T(1 / (y \ x),K(w,v5)),z). [hyper(236,a,6313,a(flip),b,16369,a),flip(a)]. given #15048 (H,wt=24): 16408 K(x / T(y \ 1,z),T(u,y)) != w | K(T(y \ 1,z) \ x,u) = w. [para(9343(a,1),16217(a,1))]. given #15049 (H,wt=24): 16413 K(x,L(T(y,z * u),w,v5)) != v6 | K(x,L(T(y,u * z),w,v5)) = v6. [para(13063(a,1),16235(a,1,2,1))]. given #15050 (H,wt=24): 16434 K(x,T(y / ((z \ u) * z),z \ u)) != w | K(x,u \ T(y,z)) = w. [para(15441(a,2),16421(a,1))]. given #15051 (H,wt=24): 16436 K(x,K(y,z)) * K(x,z * T(y,u)) != w | K(x,T(y,u) * z) = w. [para(16045(a,1),7966(a,1,2)),flip(b)]. given #15052 (H,wt=24): 16471 K((x \ y) \ T(z,u),L(w,y,x)) = K(y \ (x * (u * (z / u))),w). [hyper(236,a,14569,a(flip),b,16469,a(flip))]. given #15053 (H,wt=21): 16526 K(x \ (y * (z * (u / z))),w) = K(x \ (y * T(u,z)),w). [hyper(236,a,14569,a(flip),b,16471,a(flip))]. given #15054 (H,wt=21): 16527 K(x \ (y * T(z * u,u)),w) = K(x \ (y * (u * z)),w). [para(15(a,1),16526(a,1,1,2,2,2)),flip(a)]. given #15055 (H,wt=24): 16472 T(L(K(x,y),z \ u,z),u / z) = u \ (z * (K(x,y) * (z \ u))). [hyper(236,a,755,a(flip),b,16333,a)]. given #15056 (H,wt=24): 16485 K(x,K(y,L(z,u,w)) * (w * u)) = K(x,w * (u * K(y \ 1,z))). [hyper(15829,a,16178,a)]. given #15057 (H,wt=21): 16531 K(x,y * (z * K(u \ 1,w))) = K(x,y * (z * K(u,w))). [hyper(236,a,16178,a(flip),b,16485,a(flip))]. given #15058 (H,wt=23): 16532 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * (u * K(u,z))). [hyper(236,a,14162,a,b,16531,a(flip)),flip(a)]. given #15059 (H,wt=21): 16533 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * T(u,z)). [para(4887(a,2),16532(a,2,2,2))]. given #15060 (H,wt=19): 16534 K(x,y / ((z * (u \ 1)) / z)) = K(x,y * T(u,z)). [hyper(14282,a,16533,a)]. given #15061 (H,wt=17): 16535 K(x,y / T(z \ 1,u)) = K(x,y * T(z,u)). [hyper(15775,a,16534,a)]. given #15062 (H,wt=17): 16537 K(x,y * T(z,z * (x * y))) = K(x,z * y). [hyper(14297,a,16535,a),flip(a)]. given #15063 (H,wt=15): 16540 K(x,y * T(z,x * y)) = K(x,z * y). [hyper(13174,a,16537,a)]. given #15064 (H,wt=17): 16539 K(x,y * T(1 / z,u)) = K(x,y / T(z,u)). [para(65(a,1),16535(a,1,2,2,1)),flip(a)]. given #15065 (H,wt=17): 16541 T(x,y * T(z,x * y)) = K(x,z * y) * x. [para(16540(a,1),4897(a,2,1))]. given #15066 (H,wt=15): 16543 T(x,y * T(z,x * y)) = T(x,z * y). [hyper(236,a,4897,a,b,16541,a)]. given #15067 (H,wt=20): 16536 K(x,y * T(z,u)) != w | K(x,y / T(z \ 1,u)) = w. [para(16534(a,1),15775(a,1))]. given #15068 (H,wt=21): 16538 K(x,T(y / T(z \ 1,u),w)) = K(T(x,w),y * T(z,u)). [hyper(7823,a,16535,a)]. given #15069 (H,wt=24): 16487 K(x,L(T(y,z / u),w,v5)) != v6 | K(x,L(T(y,u \ z),w,v5)) = v6. [para(8151(a,1),16412(a,1,2,1))]. given #15070 (H,wt=21): 16546 K(x,L(T(y,z \ u),w,v5)) = K(x,L(T(y,z * u),w,v5)). [hyper(16487,a,16029,a)]. given #15071 (H,wt=21): 16547 K(x,L(T(y,z / u),w,v5)) = K(x,L(T(y,u \ z),w,v5)). [hyper(16487,a,xx),flip(a)]. given #15072 (H,wt=22): 16548 K(x \ (y * (z * (y \ x))),u) = K(z,L(T(u,y * x),x,y)). [hyper(236,a,14568,a,b,16546,a(flip)),flip(a)]. given #15073 (H,wt=24): 16489 K(x,K(T(y,z) / u,L(w,u,z))) = K(x,K(w,(y * z) / (z * u))). [para(32(a,2),16484(a,1,2,1,1))]. given #15074 (H,wt=24): 16495 K(x,y \ T(z,u)) * K(x,K(y,z)) != w | K(x,T(z,u) / y) = w. [para(16438(a,2),14282(a,1))]. given #15075 (H,wt=24): 16520 K(L(x,y,z),T(T(u,y * z),y)) = K((z * (x * y)) / (z * y),u). [para(38(a,1),15994(a,1,2))]. given #15076 (H,wt=23): 16550 K((x * (y * z)) / (x * z),u) = K((z * x) \ ((z * y) * x),u). [hyper(236,a,15472,a(flip),b,16520,a(flip))]. given #15077 (H,wt=24): 16525 L(K(x,y),z,u / (u * x)) = K(T(1 / ((u * x) \ u),K(w,v5)),y). [para(13(a,1),16524(a,1,1,1))]. given #15078 (H,wt=20): 16552 L(K(x,y),z,u / (u * x)) = K(1 / ((u * x) \ u),y). [hyper(236,a,16158,a(flip),b,16525,a)]. given #15079 (H,wt=14): 16553 L(K(x,y),z,u / (u * x)) = K(x,y). [hyper(236,a,6311,a(flip),b,16552,a)]. given #15080 (H,wt=17): 16554 L(K(x,y),z,u / (u * x)) != w | K(x,y) = w. [para(16552(a,2),8414(a,1))]. given #15081 (H,wt=24): 16530 T(L(K(x,y),z / u,u),z / u) = z \ (u * (K(x,y) * (u \ z))). [para(11122(a,2),16472(a,1,1))]. given #15082 (H,wt=23): 16556 K(x,y / (((y / z) / u) * z)) = y \ (z * (K(x,u) * (z \ y))). [hyper(236,a,15446,a(flip),b,16530,a(flip)),flip(a)]. given #15083 (H,wt=19): 16557 K(x,(y / x) / ((((y / x) / y) / z) * y)) = K(x,z). [hyper(10308,a,16556,a(flip)),flip(a)]. given #15084 (H,wt=19): 16558 K(x,y / (((((y / x) / y) / z) * y) * x)) = K(x,z). [hyper(236,a,7207,a(flip),b,16557,a(flip)),flip(a)]. given #15085 (H,wt=17): 16559 K(x,1 / ((((y / x) / y) / z) * x)) = K(x,z). [hyper(236,a,10983,a(flip),b,16558,a(flip)),flip(a)]. given #15086 (H,wt=15): 16561 K(x,y / (((z / x) / z) * x)) = K(x,y). [hyper(236,a,10986,a(flip),b,16559,a(flip)),flip(a)]. given #15087 (H,wt=15): 16562 K(x,y / (x * ((z / x) / z))) = K(x,y). [hyper(10455,a,16561,a)]. given #15088 (H,wt=22): 16563 L(K(x,y / x),y,(z / x) / z) = K(x,y * ((z / x) / z)). [hyper(236,a,15377,a,b,16562,a(flip)),flip(a)]. given #15089 (H,wt=24): 16545 K(x,T(y / T(z \ 1,u),w)) != v5 | K(x,T(y * T(z,u),w)) = v5. [para(16538(a,2),7823(a,1))]. given #15090 (H,wt=24): 16549 K(x,y \ T(z,u)) * K(x,K(z,y)) != w | K(x,T(z,u) / y) = w. [para(7937(a,1),16495(a,1,2))]. given #15091 (H,wt=24): 16551 K(L(x,y,z),T(T(u,y),z * y)) = K((y * z) \ ((y * x) * z),u). [hyper(236,a,9798,a,b,16550,a(flip)),flip(a)]. given #15092 (H,wt=24): 16564 K(x,L(T(T(y,z),u * z),z,u)) = K((z * u) \ ((z * x) * u),y). [hyper(11595,a,16551,a)]. given #15093 (H,wt=25): 16008 K(x,T((y \ (z * u)) \ 1,u \ y)) = K(x,(T(z,y / u) * u) \ y). [hyper(236,a,15819,a(flip),b,16002,a(flip))]. given #15094 (H,wt=23): 16565 K(x,(T(y,z / u) * u) \ z) = K(x,T((y * u) \ z,u \ z)). [hyper(9465,a,16008,a),flip(a)]. given #15095 (H,wt=25): 16106 K(x,K(y,z)) * K(x,z * ((u \ y) * u)) = K(x,((u \ y) * u) * z). [para(16053(a,1),13238(a,1,1))]. given #15096 (H,wt=23): 16568 K(x,((y \ z) * y) * u) = K(x,K(z,u)) * K(x,u * T(z,y)). [para(16456(a,1),16106(a,1,2)),flip(a)]. given #15097 (H,wt=17): 16569 K(x,((y \ z) * y) * u) = K(x,T(z,y) * u). [hyper(236,a,16046,a(flip),b,16568,a)]. given #15098 (H,wt=17): 16571 K(x,T(y * z,y) * u) = K(x,(z * y) * u). [para(13(a,1),16569(a,1,2,1,1)),flip(a)]. given #15099 (H,wt=20): 16570 K(x,((y \ z) * y) * u) != w | K(x,T(z,y) * u) = w. [para(16568(a,2),16436(a,1))]. given #15100 (H,wt=25): 16302 (x * K(K(y,z) * (u \ x),u)) * K(z,y) = (u \ (x * K(z,y))) * u. [para(16293(a,1),14122(a,1,1,2))]. given #15101 (H,wt=25): 16326 T((x / T(y,z)) * y,x / T(y,z)) = T(x * K(z,y),T(y,z) \ x). [hyper(236,a,7654,a,b,16148,a(flip)),flip(a)]. given #15102 (H,wt=25): 16353 K(x,K(y,(z * u) * w)) != v5 | K(x,K(y,(u * w) * R(z,u,w))) = v5. [para(113(a,1),16073(a,1,2,2))]. given #15103 (H,wt=25): 16377 T(x,K(y,R(z / u,u,w))) != v5 | T(x,K(y,(u * w) \ (z * w))) = v5. [para(114(a,2),16306(a,1,2,2))]. given #15104 (H,wt=25): 16394 T(x,y) * K(z * K(x,y),z \ x) = ((x / z) \ T(x,y)) * (x / z). [para(16264(a,1),14456(a,1,2))]. given #15105 (H,wt=23): 16573 T(x,y) * K(z,T(z \ x,y)) = ((x / z) \ T(x,y)) * (x / z). [para(16265(a,1),16394(a,1,2))]. given #15106 (H,wt=19): 16574 ((x / y) \ T(x,z)) * (x / y) = y * (T(x,z) / y). [hyper(11195,a,16573,a),flip(a)]. given #15107 (H,wt=17): 16575 (x * K(y,z)) * (y / x) = x * (T(y,z) / x). [para(14441(a,1),16574(a,1,1))]. given #15108 (H,wt=17): 16576 (x * K(y,z)) \ (x * (T(y,z) / x)) = y / x. [hyper(80,a,16575,a)]. given #15109 (H,wt=12): 16577 L(x / y,K(x,z),y) = x / y. [hyper(14477,a,16576,a)]. given #15110 (H,wt=25): 16437 K(x,y * T(z \ 1,u)) * K(x,K(y,z)) = K(x,T(z \ 1,u) * y). [para(9249(a,1),16054(a,1,2))]. given #15111 (H,wt=25): 16462 K(x / (x / y),z * ((x / y) / x)) = K(y,T(((x / y) / x) * z,x)). [hyper(13293,a,16287,a)]. given #15112 (H,wt=23): 16579 K(x,T(((y / x) / y) * z,y)) = K(x,T(z * ((y / x) / y),y)). [hyper(8417,a,16462,a),flip(a)]. given #15113 (H,wt=25): 16480 T(x * (T(x,K(y,z)) \ u),x / K(y,z)) = x \ T(u * x,K(y,z)). [para(16391(a,1),16475(a,1,1))]. given #15114 (H,wt=23): 16580 T(K(x,K(y,z)) * u,x / K(y,z)) = x \ T(u * x,K(y,z)). [para(7963(a,1),16480(a,1,1))]. given #15115 (H,wt=25): 16518 K(x,(y \ z) * u) / (x \ K(x,u * (y \ z))) = T(x,K(u,y * z)). [hyper(74,a,16506,a(flip),b,4857,a)]. given #15116 (H,wt=15): 16581 T(x,K(y \ z,u)) = T(x,K(u,y * z)). [hyper(236,a,13246,a(flip),b,16518,a(flip)),flip(a)]. given #15117 (H,wt=15): 16582 T(x,K(y,z \ u)) = T(x,K(y,z * u)). [hyper(8002,a,16581,a)]. given #15118 (H,wt=15): 16584 T(x,K(y,z / u)) = T(x,K(y,u * z)). [hyper(16305,a,16582,a)]. given #15119 (H,wt=18): 16583 T(x,K(y,z * u)) != w | T(x,K(y,z \ u)) = w. [para(16581(a,1),8002(a,1))]. given #15120 (H,wt=18): 16586 T(x,K(y,z \ u)) != w | T(x,K(y,u * z)) = w. [para(16582(a,2),16307(a,1))]. given #15121 (H,wt=21): 16587 T(T(x,K(y,z * u)),y * (u / z)) = T(x,(u / z) * y). [para(16584(a,1),13064(a,1,1))]. given #15122 (H,wt=24): 16585 T(T(x,K(y,z * u)),(z \ u) * y) != w | T(x,y * (z \ u)) = w. [para(16582(a,1),13095(a,1,1))]. given #15123 (H,wt=25): 16528 K(x,y \ (z * (u * (w / u)))) = v5 / (K(y \ (z * T(w,u)),x) * v5). [para(16526(a,1),5266(a,1,2,1)),flip(a)]. given #15124 (H,wt=21): 16588 K(x,y \ (z * (u * (w / u)))) = K(x,y \ (z * T(w,u))). [hyper(236,a,5266,a(flip),b,16528,a)]. given #15125 (H,wt=25): 16572 L(x,y,T(z * K(u,w),T(w,u) \ z)) = L(x,y,w * (z / T(w,u))). [para(16326(a,1),13502(a,1,3))]. given #15126 (H,wt=26): 16003 K((x * (y \ 1)) \ z,T(u,y \ x)) != w | K(z / (x * (y \ 1)),u) = w. [para(15997(a,1),8184(a,1))]. given #15127 (H,wt=22): 16590 K(x / (y * (1 / z)),u) != w | K(x / (y * (z \ 1)),u) = w. [para(16491(a,1),16003(a,1))]. given #15128 (H,wt=26): 16097 K(x,K(y,z \ u)) * K(x,y / (u / z)) != w | K(x,(u / z) \ y) = w. [para(16049(a,1),9402(a,1,1))]. given #15129 (H,wt=26): 16282 K(x,y * K(z \ (u * w),w * u)) != v5 | K(x,K(w * u,z) * y) = v5. [para(16154(a,1),15842(a,1))]. given #15130 (H,wt=26): 16360 K(x,K(y,z) * u) * K(w,v5) != v6 | K(w,v5) * K(x,u * K(z,y)) = v6. [para(16275(a,2),16168(a,1,1))]. given #15131 (H,wt=26): 16366 K(x,y * K(z,u * K(w,v5))) != v6 | K(x,K(z,K(w,v5) * u) * y) = v6. [para(16154(a,1),16182(a,1,2,2))]. given #15132 (H,wt=26): 16431 T(x,(y * z) * (u / (z * y))) != w | T(x,K(y,z) * T(u,z * y)) = w. [para(11049(a,1),16411(a,1,2))]. given #15133 (H,wt=23): 16591 T(x,K(y,z) * T(u,z * y)) = T(x,(y * z) * (u / (z * y))). [hyper(16431,a,xx)]. given #15134 (H,wt=26): 16493 K(x,K(y,z \ u)) * K(x,y * (u / z)) != w | K(x,(u / z) * y) = w. [para(16081(a,1),7966(a,1,2)),flip(b)]. given #15135 (H,wt=27): 16227 T(K(x,y) * z,u) * K(y,T(x,w)) = K(y,T(x,w)) * T(z * K(x,y),u). [para(16204(a,1),11907(a,1,2))]. given #15136 (H,wt=27): 16245 K(L((x \ y) / K(z,u),K(z,u),x),w) != v5 | K((x * K(z,u)) \ y,w) = v5. [para(8126(a,2),16173(a,1))]. given #15137 (H,wt=27): 16298 K(x,K(y,L(z,u,w)) * (w * (u * z))) = K(x,(w * u) * T(L(z,u,w),y)). [para(6228(a,1),16275(a,2,2))]. given #15138 (H,wt=27): 16317 K(x,(y * (z \ 1)) \ u) * K(x,K(u,z \ y)) = K(x,u / (y * (z \ 1))). [para(16079(a,1),9403(a,1,2))]. given #15139 (H,wt=27): 16331 K(x,K(y \ 1,z)) * K((y \ K(u,z)) * z,x) = K(z * (y \ K(u,z)),x). [para(8689(a,1),16153(a,1,1,2))]. given #15140 (H,wt=25): 16595 K(x,K(y,z)) * K((y \ K(u,z)) * z,x) = K(z * (y \ K(u,z)),x). [para(9244(a,1),16331(a,1,1))]. given #15141 (H,wt=27): 16390 T(K(x,K(y,z * u)) * w,K(x,K(y,z * u))) / w = K(x,K(y,u * z)). [hyper(74,a,7222,a,b,16122,a)]. given #15142 (H,wt=27): 16442 (K(x,K(y,z)) * u) * K(u / K(x,K(y,z)),w) = T(K(x,K(y,z)) \ u,w). [para(7964(a,1),16135(a,1,1))]. given #15143 (H,wt=27): 16477 (K(x,K(y,z)) * u) * K(u * K(K(y,z),x),w) = T(K(x,K(y,z)) \ u,w). [para(7936(a,1),16473(a,1,1,1))]. given #15144 (H,wt=27): 16492 K(x,K(y,T(z,x) \ u)) \ K(x,y * (u / z)) = K(x,(u / T(z,x)) * y). [hyper(72,a,7688,a(flip),b,16081,a)]. given #15145 (H,wt=27): 16521 K((x * (y * z)) / (x * z),u) != w | K(L(y,z,x),T(T(u,z),x * z)) = w. [para(15994(a,1),16246(a,1))]. given #15146 (H,wt=27): 16593 K(L((x \ y) * K(z,u),K(u,z),x),w) != v5 | K((x * K(u,z)) \ y,w) = v5. [para(7547(a,1),16245(a,1,1,1))]. given #15147 (H,wt=27): 16594 K(x,(y * (z \ 1)) \ u) * K(x,K(u,z * y)) = K(x,u / (y * (z \ 1))). [para(16502(a,1),16317(a,1,2))]. given #15148 (H,wt=27): 16596 (K(x,K(y,z)) * u) * K(u * K(y,K(z,x)),w) = T(K(x,K(y,z)) \ u,w). [para(7886(a,1),16477(a,1,2,1,2))]. given #15149 (H,wt=28): 16011 T(x,T(y,L((z / u) / w,w,u))) = (x * v5) / (K(y,T(x,(w * u) \ z)) * v5). [para(16002(a,1),15404(a,2,2,1))]. given #15150 (H,wt=28): 16323 K(x,L(y,K(z,u) * x,w)) * ((K(z,u) * x) * w) = (K(z,u) * T(x,y)) * w. [para(16138(a,1),15367(a,2,1))]. given #15151 (H,wt=26): 16597 K(x,L(y,K(z,u),w)) * ((K(z,u) * x) * w) = (K(z,u) * T(x,y)) * w. [para(11538(a,1),16323(a,1,1))]. given #15152 (H,wt=28): 16407 L(K(x,y * K(z,u)),x,w) = (x * K(v5,v6)) \ (T(x,K(z,u) * y) * K(v5,v6)). [para(16123(a,2),16176(a,2,2,1))]. given #15153 (H,wt=28): 16435 K(x,L(T((1 / y) \ z,y * u),y \ 1,u)) = K(x,(u * z) / (u * (1 / y))). [hyper(236,a,15020,a(flip),b,16029,a(flip))]. given #15154 (H,wt=28): 16479 T(R(x * K(K(y,z),u),K(w,v5),w),K(y,z) \ u) = u \ T(x * u,K(y,z)). [para(7657(a,2),16474(a,1,1))]. given #15155 (H,wt=28): 16578 K(x,T(y \ 1,z) * u) != w * K(x,K(u,y)) | K(x,u * T(y \ 1,z)) = w. [para(16437(a,1),20(a,1))]. given #15156 (H,wt=28): 16598 T(R(x * K(y,K(z,u)),K(w,v5),w),K(y,z) \ u) = u \ T(x * u,K(y,z)). [para(7886(a,1),16479(a,1,1,1,2))]. given #15157 (H,wt=28): 16599 T(R(K(x,K(y,z)) \ u,K(w,v5),w),K(x,y) \ z) = z \ T(u * z,K(x,y)). [para(16111(a,2),16598(a,1,1,1))]. given #15158 (H,wt=23): 16600 T(K(x,K(y,z)) \ u,K(x,y) \ z) = z \ T(u * z,K(x,y)). [para(342(a,1),16599(a,1,1))]. given #15159 (H,wt=29): 16056 ((x * (K(y,z) * u)) / x) / ((x * (u * K(y,z))) / x) = K(z,K(u * K(y,z),y)). [hyper(236,a,13436,a,b,16034,a(flip)),flip(a)]. given #15160 (H,wt=25): 16602 ((x * (K(y,z) * u)) / x) / ((x * (u * K(y,z))) / x) = K(z,K(u,y)). [para(7574(a,1),16056(a,2,2))]. given #15161 (H,wt=28): 16604 ((x * (K(y,z) * u)) / x) / ((x * (u * K(y,z))) / x) != w | K(y,K(z,u)) = w. [para(16602(a,2),7939(a,1))]. given #15162 (H,wt=15): 16605 K(K(x,y) * z,T(z,u)) = K(x,K(y,z)). [hyper(16604,a,13318,a),flip(a)]. given #15163 (H,wt=29): 16065 K(x,K(y,z)) \ K(x \ (y * z),T(y \ x,u)) = K(x \ (y * T(z,u)),x / y). [para(16034(a,1),15937(a,1,1))]. given #15164 (H,wt=29): 16273 x * K(y * K(z,u),K(z,u) \ (y \ x)) = (K(z,u) * y) * (x / (K(z,u) * y)). [para(16152(a,1),14646(a,1,2))]. given #15165 (H,wt=29): 16330 K(x,K(y \ (z \ y),u)) * K((z \ 1) * T(u,y),x) = K(T(u,y) * (z \ 1),x). [para(7370(a,2),16153(a,1,1,2))]. given #15166 (H,wt=29): 16440 T((x * (K(y,K(z,u)) * w)) / (w * K(y,K(z,u))),w) = T(x,K(y,K(z,u)) * w). [hyper(236,a,32,a,b,16131,a)]. given #15167 (H,wt=13): 16610 T(x,K(y,K(z,u)) * w) = T(x,w). [para(16387(a,1),16440(a,1,1)),flip(a)]. given #15168 (H,wt=13): 16612 T(x,y * K(z,K(u,w))) = T(x,y). [hyper(16130,a,16610,a)]. given #15169 (H,wt=15): 16611 T(x,y * T(z,K(u,w))) = T(x,y * z). [hyper(16232,a,16610,a)]. given #15170 (H,wt=15): 16613 K(x,K(y,K(z,u)) * w) = x \ T(x,w). [hyper(72,a,16610,a(flip),b,4887,a(flip)),flip(a)]. given #15171 (H,wt=13): 16623 K(x,K(y,K(z,u)) * w) = K(x,w). [hyper(236,a,4829,a,b,16613,a)]. given #15172 (H,wt=13): 16627 K(x,y * K(z,K(u,w))) = K(x,y). [hyper(16362,a,16623,a)]. given #15173 (H,wt=13): 16629 K(x,K(y,K(z,u)) \ w) = K(x,w). [hyper(236,a,15679,a,b,16623,a(flip)),flip(a)]. given #15174 (H,wt=15): 16617 T(x,y * K(z,K(u,w))) = K(x,y) * x. [hyper(236,a,4897,a(flip),b,16612,a)]. given #15175 (H,wt=15): 16625 K(x,y / T(z,K(u,w))) = K(x,y / z). [hyper(16414,a,16623,a)]. given #15176 (H,wt=15): 16626 K(x,y \ T(z,K(u,w))) = K(x,y \ z). [hyper(16403,a,16623,a)]. given #15177 (H,wt=15): 16628 K(x,y * T(z,K(u,w))) = K(x,y * z). [hyper(16243,a,16623,a)]. given #15178 (H,wt=15): 16631 K(x,T(y,K(z,u)) \ w) = K(x,y \ w). [hyper(236,a,15680,a(flip),b,16623,a(flip)),flip(a)]. given #15179 (H,wt=15): 16632 K(K(x,K(y,z)) * u,w) = 1 / K(w,u). [para(16623(a,1),5102(a,1,2)),flip(a)]. given #15180 (H,wt=13): 16650 K(K(x,K(y,z)) * u,w) = K(u,w). [hyper(236,a,5102,a(flip),b,16632,a)]. given #15181 (H,wt=13): 16652 K(x * K(y,K(z,u)),w) = K(x,w). [hyper(16183,a,16650,a)]. given #15182 (H,wt=15): 16633 K(x,T(y,K(z,u)) / w) = K(x,y / w). [para(5696(a,1),16623(a,1,2))]. given #15183 (H,wt=15): 16653 K(T(x,K(y,z)) * u,w) = K(x * u,w). [para(4906(a,1),16650(a,1,1))]. given #15184 (H,wt=15): 16654 K(T(x,K(y,z)) \ u,w) = K(x \ u,w). [para(5178(a,1),16650(a,1,1)),flip(a)]. given #15185 (H,wt=15): 16655 K(x \ T(y,K(z,u)),w) = K(x \ y,w). [para(5697(a,1),16650(a,1,1))]. given #15186 (H,wt=15): 16659 K(x / T(y,K(z,u)),w) = K(x / y,w). [para(16114(a,1),16650(a,1,1))]. given #15187 (H,wt=16): 16624 K(x,K(y,K(z,u)) * w) != v5 | K(x,w) = v5. [para(16613(a,2),4956(a,1))]. given #15188 (H,wt=16): 16640 T(x,y * K(z,K(u,w))) != v5 | T(x,y) = v5. [para(16617(a,2),4898(a,1))]. given #15189 (H,wt=16): 16651 K(K(x,K(y,z)) * u,w) != v5 | K(u,w) = v5. [para(16632(a,2),5106(a,1))]. given #15190 (H,wt=16): 16672 K(x,y * K(z,K(u,w))) != v5 | K(x,y) = v5. [para(7337(a,1),16624(a,1,2))]. given #15191 (H,wt=16): 16673 K(x,K(y,K(z,u)) \ w) != v5 | K(x,w) = v5. [para(7964(a,2),16624(a,1,2))]. given #15192 (H,wt=16): 16682 K(x * K(y,K(z,u)),w) != v5 | K(x,w) = v5. [para(7337(a,1),16651(a,1,1))]. given #15193 (H,wt=17): 16614 T(x,K(y,T(z,u)) * w) = T(x,K(y,z) * w). [para(7295(a,1),16610(a,1,2))]. given #15194 (H,wt=17): 16615 T(x,T(y,T(z,u)) * w) = T(x,T(y,z) * w). [para(8964(a,1),16610(a,1,2))]. given #15195 (H,wt=17): 16620 T(x,y * T(z,T(u,w))) = T(x,y * T(z,u)). [para(7135(a,1),16611(a,1,2,2))]. given #15196 (H,wt=17): 16634 K(x,K(y,T(z,u)) * w) = K(x,K(y,z) * w). [para(7295(a,1),16623(a,1,2))]. given #15197 (H,wt=17): 16636 K(x,y * K(z,T(u,w))) = K(x,y * K(z,u)). [para(16386(a,1),16623(a,1,2))]. given #15198 (H,wt=17): 16638 K(x,y * (z * K(u,K(w,v5)))) = K(x,y * z). [para(11556(a,1),16627(a,1,2))]. given #15199 (H,wt=17): 16639 K(x,K(y,T(z,u)) \ w) = K(x,K(y,z) \ w). [para(10511(a,1),16629(a,1,2))]. given #15200 (H,wt=17): 16643 K(x,y * T(z,T(u,w))) = K(x,y * T(z,u)). [para(7135(a,1),16628(a,1,2,2))]. given #15201 (H,wt=17): 16656 K(K(x,T(y,z)) * u,w) = K(K(x,y) * u,w). [para(7295(a,1),16650(a,1,1))]. given #15202 (H,wt=17): 16657 K(T(x,T(y,z)) * u,w) = K(T(x,y) * u,w). [para(8964(a,1),16650(a,1,1))]. given #15203 (H,wt=17): 16663 K(x,T(y,T(z,u)) / w) = K(x,T(y,z) / w). [para(7135(a,1),16633(a,1,2,1))]. given #15204 (H,wt=17): 16666 K(T(x,T(y,z)) \ u,w) = K(T(x,y) \ u,w). [para(7135(a,1),16654(a,1,1,1))]. given #15205 (H,wt=17): 16667 K(x \ T(y,T(z,u)),w) = K(x \ T(y,z),w). [para(7135(a,1),16655(a,1,1,2))]. given #15206 (H,wt=17): 16693 T(x,K(y,T(z,u)) * w) = T(x,K(z,y) * w). [hyper(236,a,15661,a,b,16614,a)]. given #15207 (H,wt=17): 16697 T(x,T(y,z) * T(z,u)) = T(x,T(z,u) * y). [hyper(13115,a,16615,a),flip(a)]. given #15208 (H,wt=17): 16700 K(x,K(y,T(z,u)) * w) = K(x,K(z,y) * w). [hyper(236,a,15675,a,b,16634,a)]. given #15209 (H,wt=17): 16701 K(x,K(y,T(z,u)) * w) = K(x,w * K(y,z)). [hyper(236,a,16154,a(flip),b,16634,a)]. given #15210 (H,wt=17): 16705 K(x,y * (K(z,K(u,w)) * v5)) = K(x,y * v5). [para(7249(a,1),16638(a,1,2,2))]. given #15211 (H,wt=17): 16708 K(x,K(y,T(z,u)) \ w) = K(x,K(z,y) \ w). [hyper(236,a,15685,a,b,16639,a)]. given #15212 (H,wt=17): 16716 K(T(x,y) \ T(y,z),u) = K(T(y,z) / x,u). [hyper(13428,a,16666,a),flip(a)]. given #15213 (H,wt=17): 16717 T(x,y * K(z,T(u,w))) = T(x,K(u,z) * y). [hyper(16130,a,16693,a)]. given #15214 (H,wt=18): 16670 K(x,y * T(z,K(u,w))) != v5 | K(x,y * z) = v5. [para(5700(a,1),16624(a,1,2))]. given #15215 (H,wt=18): 16671 K(x,y \ T(z,K(u,w))) != v5 | K(x,y \ z) = v5. [para(5697(a,1),16624(a,1,2))]. given #15216 (H,wt=18): 16676 K(x,y / T(z,K(u,w))) != v5 | K(x,y / z) = v5. [para(16114(a,1),16624(a,1,2))]. given #15217 (H,wt=18): 16681 K(T(x,K(y,z)) * u,w) != v5 | K(x * u,w) = v5. [para(4906(a,1),16651(a,1,1))]. given #15218 (H,wt=18): 16686 K(x / T(y,K(z,u)),w) != v5 | K(x / y,w) = v5. [para(16114(a,1),16651(a,1,1))]. given #15219 (H,wt=19): 16616 T(x,(K(y,z) * u) * w) = T(x,(u * K(y,z)) * w). [para(11049(a,1),16610(a,1,2)),flip(a)]. given #15220 (H,wt=19): 16630 K(x,y * (K(z,u) * w)) = K(x,y * (w * K(z,u))). [hyper(236,a,16300,a(flip),b,16623,a(flip)),flip(a)]. given #15221 (H,wt=19): 16637 K(x,y / (z / K(u,w))) = K(x,y / (K(u,w) \ z)). [para(6360(a,1),16627(a,1,2))]. given #15222 (H,wt=19): 16641 K(x,y / T(z,u / w)) = K(x,y / T(z,w \ u)). [para(8329(a,1),16625(a,1,2,2)),flip(a)]. given #15223 (H,wt=19): 16642 K(x,y \ T(z,u / w)) = K(x,y \ T(z,w \ u)). [para(8329(a,1),16626(a,1,2,2)),flip(a)]. given #15224 (H,wt=19): 16645 K(x,y * T(z,u * w)) = K(x,y * T(z,w * u)). [para(13063(a,1),16628(a,1,2,2))]. given #15225 (H,wt=19): 16658 K((K(x,y) * z) * u,w) = K((z * K(x,y)) * u,w). [para(11049(a,1),16650(a,1,1)),flip(a)]. given #15226 (H,wt=19): 16660 K(x * (K(y,z) * u),w) = K(x * (u * K(y,z)),w). [para(10676(a,1),16652(a,1,1)),flip(a)]. given #15227 (H,wt=19): 16661 K(x \ (K(y,z) * u),w) = K(x \ (u * K(y,z)),w). [para(14398(a,1),16652(a,1,1)),flip(a)]. given #15228 (H,wt=19): 16694 T(x,K(y * z,u) * w) = T(x,K(z * y,u) * w). [para(13395(a,1),16614(a,1,2,1))]. given #15229 (H,wt=19): 16702 K(x,K(y * z,u) * w) = K(x,K(z * y,u) * w). [para(13395(a,1),16634(a,1,2,1))]. given #15230 (H,wt=19): 16704 K(x,y * K(z,u / w)) = K(x,y * K(z,w \ u)). [para(121(a,1),16636(a,1,2,2,2)),flip(a)]. given #15231 (H,wt=19): 16720 T(x,T(y,z) * ((u \ z) * u)) = T(x,T(z,u) * y). [hyper(236,a,16401,a,b,16697,a(flip)),flip(a)]. given #15232 (H,wt=19): 16721 K(x,K(y * z,u) * w) = K(x,K(u,z * y) * w). [para(13017(a,1),16700(a,1,2,1)),flip(a)]. given #15233 (H,wt=19): 16722 K(x,y * (K(z,K(u,w)) / (v5 \ 1))) = K(x,y * v5). [para(14503(a,2),16705(a,1,2,2))]. given #15234 (H,wt=20): 16674 K(x,T(y,T(z,u)) * w) != v5 | K(x,T(y,z) * w) = v5. [para(8964(a,1),16624(a,1,2))]. given #15235 (H,wt=20): 16678 K(x,y * K(z,T(u,w))) != v5 | K(x,y * K(z,u)) = v5. [para(16386(a,1),16624(a,1,2))]. given #15236 (H,wt=20): 16680 T(x,K(y,T(z,u)) * w) != v5 | T(x,K(y,z) * w) = v5. [para(16107(a,1),16640(a,1,2))]. given #15237 (H,wt=20): 16683 K(K(x,T(y,z)) * u,w) != v5 | K(K(x,y) * u,w) = v5. [para(7295(a,1),16651(a,1,1))]. given #15238 (H,wt=20): 16689 K(x,y * (z * K(u,K(w,v5)))) != v6 | K(x,y * z) = v6. [para(11556(a,1),16672(a,1,2))]. given #15239 (H,wt=20): 16690 K(x,K(y,T(z,u)) \ w) != v5 | K(x,K(y,z) \ w) = v5. [para(10511(a,1),16673(a,1,2))]. given #15240 (H,wt=18): 16754 K(x,K(y,z) \ u) != w | K(x,K(z,y) \ u) = w. [para(16708(a,1),16690(a,1))]. given #15241 (H,wt=20): 16692 K(x * (y * K(z,K(u,w))),v5) != v6 | K(x * y,v5) = v6. [para(11556(a,1),16682(a,1,1))]. given #15242 (H,wt=17): 16756 K(x * (K(y,K(z,u)) * w),v5) = K(x * w,v5). [hyper(16692,a,16660,a(flip)),flip(a)]. given #15243 (H,wt=20): 16695 T(x,K(y,T(z,u)) * w) != v5 | T(x,K(z,y) * w) = v5. [para(16614(a,2),15799(a,1))]. given #15244 (H,wt=20): 16698 T(x,T(y,z) * T(z,u)) != w | T(x,T(z,u) * y) = w. [para(16615(a,1),13115(a,1))]. given #15245 (H,wt=20): 16703 K(x,K(y,T(z,u)) * w) != v5 | K(x,w * K(y,z)) = v5. [para(16634(a,2),16181(a,1))]. given #15246 (H,wt=20): 16712 K(K(x,T(y,z)) * u,w) != v5 | K(u * K(y,x),w) = v5. [para(16656(a,2),16274(a,1))]. given #15247 (H,wt=20): 16727 K(x,y * T(z,T(u,w))) != v5 | K(x,y * T(z,u)) = v5. [para(7135(a,1),16670(a,1,2,2))]. given #15248 (H,wt=20): 16744 K(x,K(y * z,z) * u) != w | K(x,K(z,y) * u) = w. [para(16721(a,2),16418(a,1))]. given #15249 (H,wt=20): 16749 T(x,K(T(y,z),u) * w) != v5 | T(x,K(u,y) * w) = v5. [para(15661(a,1),16680(a,1))]. given #15250 (H,wt=20): 16751 K(x,y * (K(z,K(u,w)) * v5)) != v6 | K(x,y * v5) = v6. [para(7249(a,1),16689(a,1,2,2))]. given #15251 (H,wt=20): 16755 K(x,K(y,T(z,u)) \ w) != v5 | K(x,K(z,y) \ w) = v5. [para(16639(a,2),16754(a,1))]. given #15252 (H,wt=20): 16763 T(x,y * K(z,T(u,w))) != v5 | T(x,K(u,z) * y) = v5. [para(16123(a,1),16695(a,1))]. given #15253 (H,wt=21): 16644 K(x,y * (z * (u * K(z,w)))) = K(x,y * (T(z,w) * u)). [para(8652(a,1),16628(a,1,2,2))]. given #15254 (H,wt=21): 16646 K(x,y * (K(z,u) * (w \ 1))) = K(x,y * (w \ K(z,u))). [para(14104(a,1),16628(a,1,2,2))]. given #15255 (H,wt=21): 16649 K(x,(K(y,z) * (u \ 1)) \ w) = K(x,(u \ K(y,z)) \ w). [para(14104(a,1),16631(a,1,2,1))]. given #15256 (H,wt=19): 16766 K(x,(y \ K(z,u)) \ w) = K(x,(y * K(u,z)) * w). [hyper(14617,a,16649,a),flip(a)]. given #15257 (H,wt=21): 16662 (K(x,K(y,z)) * u) * K(u,w) = T(K(x,K(y,z)) \ u,w). [para(16652(a,1),16596(a,1,2))]. given #15258 (H,wt=19): 16767 T(K(x,K(y,z)) \ u,w) = K(x,K(y,z)) * T(u,w). [hyper(6258,a,16662,a),flip(a)]. given #15259 (H,wt=19): 16769 T(K(x,K(y,z)) * u,w) = K(x,K(y,z)) * T(u,w). [para(7964(a,1),16767(a,1,1))]. given #15260 (H,wt=19): 16771 T(x * K(y,K(z,u)),w) = K(y,K(z,u)) * T(x,w). [para(16111(a,1),16767(a,1,1))]. given #15261 (H,wt=19): 16772 T(K(x,K(y,z)) * u,w) = T(u,w) * K(x,K(y,z)). [hyper(236,a,16057,a(flip),b,16769,a)]. given #15262 (H,wt=19): 16775 T(x * K(y,K(z,u)),w) = T(x,w) * K(y,K(z,u)). [hyper(236,a,16057,a(flip),b,16771,a)]. given #15263 (H,wt=21): 16665 K(T(x / T(y,z),y) * u,w) = K((T(y,z) \ x) * u,w). [para(9759(a,1),16653(a,1,1,1))]. given #15264 (H,wt=21): 16669 K(x / (K(y,z) * (u \ 1)),w) = K(x / (u \ K(y,z)),w). [para(14104(a,1),16659(a,1,1,2))]. given #15265 (H,wt=19): 16779 K(x / (y \ K(z,u)),w) = K(x * (y * K(u,z)),w). [hyper(14616,a,16669,a),flip(a)]. given #15266 (H,wt=21): 16696 T(x,T(y,z) * ((u \ z) * u)) = T(x,((u \ z) * u) * y). [hyper(13120,a,16615,a),flip(a)]. given #15267 (H,wt=17): 16781 T(x,((y \ z) * y) * u) = T(x,T(z,y) * u). [hyper(236,a,16720,a(flip),b,16696,a(flip))]. given #15268 (H,wt=21): 16706 K(x,y * (z * (u * K(w,K(v5,v6))))) = K(x,y * (z * u)). [para(11556(a,1),16638(a,1,2,2))]. given #15269 (H,wt=21): 16707 K(x,y * (K(z,T(u,w)) * v5)) = K(x,y * (K(z,u) * v5)). [para(16107(a,1),16638(a,1,2,2))]. given #15270 (H,wt=21): 16710 K(x,y * T(T(z,u) \ w,z)) = K(x,y * (w / T(z,u))). [hyper(236,a,15751,a(flip),b,16643,a(flip))]. given #15271 (H,wt=21): 16711 K(x,y * T(z,(u / w) \ 1)) = K(x,y * T(z,u \ w)). [para(8610(a,1),16643(a,1,2,2)),flip(a)]. given #15272 (H,wt=21): 16713 K(T(x * T(y,z),y) * u,w) = K((T(y,z) * x) * u,w). [hyper(236,a,15891,a(flip),b,16657,a(flip))]. given #15273 (H,wt=21): 16715 K(x,T(y,z \ (u \ z)) / w) = K(x,T(y,u \ 1) / w). [para(8608(a,1),16663(a,1,2,1))]. given #15274 (H,wt=21): 16724 K(x,y * (z * K(u,T(w,v5)))) = K(x,y * (z * K(u,w))). [para(16386(a,1),16705(a,1,2,2))]. given #15275 (H,wt=21): 16736 K(x,y * (K(z \ u,z) * w)) = K(x,y * (w * K(u,z))). [hyper(236,a,13184,a(flip),b,16630,a)]. given #15276 (H,wt=21): 16741 K((x * K(y,z)) * T(u,x),w) = K(u * (x * K(y,z)),w). [hyper(236,a,16197,a(flip),b,16658,a(flip))]. given #15277 (H,wt=21): 16761 K(x * (K(y,T(z,u)) * w),v5) = K(x * (K(y,z) * w),v5). [para(7295(a,1),16756(a,1,1,2))]. given #15278 (H,wt=22): 16648 K(x,(K(y,z) * u) \ w) != v5 | K(x,(u * K(y,z)) \ w) = v5. [para(16631(a,1),13223(a,1))]. given #15279 (H,wt=22): 16675 K(x,(y * K(z,u)) \ w) != v5 | K(x,(K(z,u) * y) \ w) = v5. [para(9837(a,1),16624(a,1,2))]. given #15280 (H,wt=22): 16677 K(x,y * (K(z,u) * w)) != v5 | K(x,y * (w * K(z,u))) = v5. [para(16300(a,1),16624(a,1))]. given #15281 (H,wt=22): 16679 T(x,y * (z * K(u,w))) != v5 | T(x,y * (K(u,w) * z)) = v5. [para(10676(a,1),16640(a,1,2))]. given #15282 (H,wt=22): 16684 K((x * K(y,z)) \ u,w) != v5 | K((K(y,z) * x) \ u,w) = v5. [para(9837(a,1),16651(a,1,1))]. given #15283 (H,wt=22): 16685 K((K(x,y) * z) \ u,w) != v5 | K((z * K(x,y)) \ u,w) = v5. [para(11048(a,1),16651(a,1,1))]. given #15284 (H,wt=22): 16687 K(x,y / (K(z,u) * w)) != v5 | K(x,y / (w * K(z,u))) = v5. [para(10448(a,1),16672(a,1,2))]. given #15285 (H,wt=19): 16792 K(x,y / (z * K(u,w))) = K(x,y * (z \ K(w,u))). [hyper(16687,a,14541,a)]. given #15286 (H,wt=21): 16794 K(x,y * ((z * u) \ K(w,u))) = K(x,y / (z * T(u,w))). [para(6201(a,1),16792(a,1,2,2)),flip(a)]. given #15287 (H,wt=21): 16795 K(x,y * ((z / u) \ K(u,w))) = K(x,y / (z / T(u,w))). [para(7555(a,1),16792(a,1,2,2)),flip(a)]. given #15288 (H,wt=22): 16688 K(x,y * (z * K(u,w))) != v5 | K(x,y * (K(u,w) * z)) = v5. [para(10676(a,1),16672(a,1,2))]. given #15289 (H,wt=22): 16691 K(x * (y * K(z,u)),w) != v5 | K(x * (K(z,u) * y),w) = v5. [para(10676(a,1),16682(a,1,1))]. given #15290 (H,wt=22): 16726 K(x,y * T(T(z,K(u,w)),v5)) != v6 | K(x,y * T(z,v5)) = v6. [para(38(a,1),16670(a,1,2,2))]. given #15291 (H,wt=22): 16730 K(x,y * T(z,u * w)) != v5 | K(x,y * T(z,w * u)) = v5. [para(13063(a,1),16670(a,1,2,2))]. given #15292 (H,wt=22): 16733 K(x,y \ (K(z,u) * w)) != v5 | K(x,y \ (w * K(z,u))) = v5. [para(7396(a,1),16671(a,1,2,2))]. given #15293 (H,wt=22): 16734 K(x,y / (K(z,u) \ w)) != v5 | K(x,y / (w / K(z,u))) = v5. [para(121(a,1),16676(a,1,2,2))]. given #15294 (H,wt=22): 16735 K((K(x,y) * z) * u,w) != v5 | K((z * K(x,y)) * u,w) = v5. [para(7396(a,1),16681(a,1,1,1))]. given #15295 (H,wt=22): 16740 K(x,(y / z) \ T(u,z \ y)) != w | K(x,u / (y / z)) = w. [para(16642(a,1),13148(a,1))]. given #15296 (H,wt=22): 16742 K(x,K(y * z,u) * w) != v5 | K(x,K(u,z * y) * w) = v5. [para(16702(a,1),15676(a,1))]. given #15297 (H,wt=22): 16743 K(x,K(y * z,u) * w) != v5 | K(x,K(z * y,u) * w) = v5. [para(16721(a,2),15676(a,1))]. given #15298 (H,wt=22): 16745 K(x,T(y,z \ u) * w) != v5 | K(x,T(y,u / z) * w) = v5. [para(121(a,1),16674(a,1,2,1,2))]. given #15299 (H,wt=22): 16746 K(x,y * K(z,u / w)) != v5 | K(x,y * K(z,w \ u)) = v5. [para(8066(a,1),16678(a,1,2,2))]. given #15300 (H,wt=22): 16747 T(x,K(y,z / u) * w) != v5 | T(x,K(y,u \ z) * w) = v5. [para(8066(a,1),16680(a,1,2,1))]. given #15301 (H,wt=22): 16748 T(x,K(y * z,u) * w) != v5 | T(x,K(z * y,u) * w) = v5. [para(13395(a,1),16680(a,1,2,1))]. given #15302 (H,wt=22): 16750 K(x,y * (z * T(u,K(w,v5)))) != v6 | K(x,y * (z * u)) = v6. [para(1251(a,1),16689(a,1,2,2))]. given #15303 (H,wt=22): 16757 K(x * K(y,z / u),w) != v5 | K(x * K(y,u \ z),w) = v5. [para(9380(a,1),16692(a,1,1,2))]. given #15304 (H,wt=22): 16758 K(x * (T(y,K(z,u)) \ w),v5) != v6 | K(x * (y \ w),v5) = v6. [para(16112(a,1),16692(a,1,1,2))]. given #15305 (H,wt=22): 16764 K(x,y * (K(z,K(u,w)) / (v5 \ 1))) != v6 | K(x,y * v5) = v6. [para(14503(a,2),16751(a,1,2,2))]. given #15306 (H,wt=22): 16770 T(K(x,K(y,z)) \ u,w) != v5 | K(x,K(y,z)) \ T(u,w) = v5. [para(16767(a,2),7967(a,1))]. given #15307 (H,wt=22): 16791 K(x,y \ z) != u | K(x,(K(w,v5) * (y / K(w,v5))) \ z) = u. [para(16(a,1),16675(a,1,2,1))]. given #15308 (H,wt=22): 16793 K(x,y * (z \ K(u,w))) != v5 | K(x,y / (z * K(w,u))) = v5. [para(14541(a,1),16687(a,1))]. given #15309 (H,wt=23): 16714 K(x,y) * (T(x,T(y,z)) \ (z * (x / z))) = K(z,T(x,y) / z). [hyper(236,a,13452,a,b,16663,a(flip)),flip(a)]. given #15310 (H,wt=23): 16723 K(x,y * ((K(z,u) * w) / v5)) = K(x,y * ((w * K(z,u)) / v5)). [para(14807(a,1),16705(a,1,2,2)),flip(a)]. given #15311 (H,wt=23): 16738 K(x,((y / z) \ 1) \ T(u,y \ z)) = K(x,u / ((y / z) \ 1)). [hyper(13149,a,16642,a),flip(a)]. given #15312 (H,wt=21): 16802 K(x,(y / z) * T(u,y \ z)) = K(x,u / ((y / z) \ 1)). [hyper(14234,a,16738,a)]. given #15313 (H,wt=19): 16803 K(x,(y / z) * T(u,y \ z)) = K(x,u * (y / z)). [hyper(236,a,14131,a(flip),b,16802,a)]. given #15314 (H,wt=23): 16762 K(x * ((K(y,z) * u) \ w),v5) = K(x * ((u * K(y,z)) \ w),v5). [para(9837(a,1),16756(a,1,1,2)),flip(a)]. given #15315 (H,wt=23): 16774 T(K(x,y) * K(z,K(u,w)),v5) = K(z,K(u,w)) * K(x,T(y,v5)). [hyper(236,a,7276,a,b,16771,a)]. given #15316 (H,wt=23): 16776 T(K(x,y) * K(z,K(u,w)),v5) = K(x,T(y,v5)) * K(z,K(u,w)). [hyper(8555,a,16775,a(flip)),flip(a)]. given #15317 (H,wt=23): 16777 T(x * K(y,K(z,u)),w) / K(y,z) = T(x,w) / T(K(y,z),u). [para(16775(a,2),7957(a,1,1))]. given #15318 (H,wt=23): 16778 K(T(x / T(y,z),T(y,u)) * w,v5) = K((T(y,z) \ x) * w,v5). [hyper(236,a,16657,a,b,16665,a(flip)),flip(a)]. given #15319 (H,wt=23): 16783 K(x,y * (z * K(u,w / v5))) = K(x,y * (z * K(u,v5 \ w))). [para(9380(a,1),16706(a,1,2,2,2))]. given #15320 (H,wt=23): 16785 K(x,y * (K(z,u / w) * v5)) = K(x,y * (K(z,w \ u) * v5)). [para(121(a,1),16707(a,1,2,2,1,2)),flip(a)]. given #15321 (H,wt=23): 16787 K(x,y * ((z / u) * K(w,T(u,v5)))) = K(x,y * (z / T(u,w))). [para(7555(a,1),16724(a,2,2,2))]. given #15322 (H,wt=21): 16807 K(x,y * (z / T(u,T(w,v5)))) = K(x,y * (z / T(u,w))). [para(7624(a,1),16787(a,1,2,2))]. given #15323 (H,wt=21): 16809 K(x,y * (T(z,u) / T(w,z))) = K(x,y * (w \ T(z,u))). [hyper(236,a,13157,a(flip),b,16807,a(flip))]. given #15324 (H,wt=23): 16788 K(x,y * ((z * (u / z)) \ w)) = K(x,y * ((u \ w) * K(u,z))). [para(11131(a,1),16736(a,1,2,2))]. given #15325 (H,wt=23): 16799 K(x,K(y,z)) \ T(u,K(x,y) \ z) = z \ T(u * z,K(x,y)). [hyper(16770,a,16600,a)]. given #15326 (H,wt=23): 16801 K(x,y) * (K(T(y,z),x) * K(z,x / z)) = K(z,T(x,y) / z). [para(5358(a,1),16714(a,1,2))]. given #15327 (H,wt=23): 16806 K((T(x,x \ y) \ z) * u,w) = K((((x \ y) \ y) \ z) * u,w). [para(638(a,1),16778(a,1,1,1)),flip(a)]. given #15328 (H,wt=23): 16810 K(x * (y / T(z,T(u,w))),v5) = K(v5,x * (y / T(z,u))) \ 1. [para(16807(a,1),5093(a,1,1)),flip(a)]. given #15329 (H,wt=21): 16812 K(x * (y / T(z,T(u,w))),v5) = K(x * (y / T(z,u)),v5). [hyper(236,a,5093,a(flip),b,16810,a)]. given #15330 (H,wt=21): 16814 K(x * (T(y,z) / T(u,y)),w) = K(x * (u \ T(y,z)),w). [hyper(13217,a,16812,a),flip(a)]. given #15331 (H,wt=23): 16811 K(x,y) * (K(y,T(x,z)) * K(z,x / z)) = K(z,T(x,y) / z). [para(7260(a,1),16801(a,1,2,1))]. given #15332 (H,wt=19): 16816 K(x,y / x) * K(y,K(z,x)) = K(x,T(y,z) / x). [hyper(236,a,16249,a(flip),b,16811,a(flip)),flip(a)]. given #15333 (H,wt=15): 16817 K(x,T(y,z) / x) = K(x,T(y / x,z)). [hyper(16103,a,16816,a),flip(a)]. given #15334 (H,wt=18): 16818 K(x,T(y,z) / x) != u | K(x,T(y / x,z)) = u. [para(16816(a,1),16103(a,1))]. given #15335 (H,wt=24): 16699 T(x,T(y,z) * ((u \ z) * u)) != w | T(x,((u \ z) * u) * y) = w. [para(16615(a,1),13120(a,1))]. given #15336 (H,wt=24): 16725 T(x,K(y,L(z,u,w)) * (w * u)) = T(x,w * (u * K(z,T(y,v5)))). [para(11556(a,1),16717(a,1,2)),flip(a)]. given #15337 (H,wt=24): 16728 K(x,y * (K(z,u) * (w / u))) != v5 | K(x,y * (w / T(u,z))) = v5. [para(8192(a,1),16670(a,1,2,2))]. given #15338 (H,wt=24): 16729 K(x,y * (z * (u * K(z,w)))) != v5 | K(x,y * (T(z,w) * u)) = v5. [para(8652(a,1),16670(a,1,2,2))]. given #15339 (H,wt=24): 16731 K(x,y * (K(z,u) * (w \ 1))) != v5 | K(x,y * (w \ K(z,u))) = v5. [para(14104(a,1),16670(a,1,2,2))]. given #15340 (H,wt=24): 16732 K(x,y * ((z / u) * K(z,w))) != v5 | K(x,y * (T(z,w) / u)) = v5. [para(14480(a,1),16670(a,1,2,2))]. given #15341 (H,wt=23): 16822 K(x,y * (T(z,T(u,w)) / v5)) = K(x,y * ((z / v5) * K(z,u))). [hyper(16732,a,16724,a)]. given #15342 (H,wt=21): 16823 K(x,y * (T(z,T(u,w)) / v5)) = K(x,y * (T(z,u) / v5)). [hyper(16732,a,16822,a(flip)),flip(a)]. given #15343 (H,wt=23): 16824 K(x,y * (T(z,u * w) / v5)) = K(x,y * (T(z,w * u) / v5)). [para(12988(a,1),16823(a,1,2,2,1))]. given #15344 (H,wt=24): 16753 K(x,y * (K(z,T(u,w)) * v5)) != v6 | K(x,y * (K(z,u) * v5)) = v6. [para(16107(a,1),16689(a,1,2,2))]. given #15345 (H,wt=24): 16759 K(x * (K(y,T(z,u)) * w),v5) != v6 | K(x * (K(y,z) * w),v5) = v6. [para(16107(a,1),16692(a,1,1,2))]. given #15346 (H,wt=24): 16765 K(x,y * (z * K(u,T(w,v5)))) != v6 | K(x,y * (z * K(u,w))) = v6. [para(16386(a,1),16751(a,1,2,2))]. given #15347 (H,wt=24): 16773 K(x,y * T(K(z,K(u,w)) * v5,v6)) != v7 | K(x,y * T(v5,v6)) = v7. [para(16769(a,2),16751(a,1,2,2))]. given #15348 (H,wt=24): 16796 K(x,y * (z * K(u,w))) != v5 | K(x,y * (K(w \ u,w) * z)) = v5. [para(13184(a,1),16688(a,1))]. given #15349 (H,wt=24): 16797 K(x,y * (z \ K(u,w))) != v5 | K(x,y * (K(u,w) * (z \ 1))) = v5. [para(14046(a,1),16688(a,1,2,2))]. given #15350 (H,wt=24): 16804 K(x * ((K(y,z) * u) \ 1),w) != v5 | K(x / (u * K(y,z)),w) = v5. [para(16762(a,2),14377(a,1))]. given #15351 (H,wt=24): 16813 K(x * (y / T(z,T(u,w))),v5) != v6 | K(x * (y / T(z,u)),v5) = v6. [para(16810(a,2),5116(a,1))]. given #15352 (H,wt=25): 16647 K(x,(L(K(y,z),u,w) * v5) \ v6) = K(x,(v5 * L(K(y,z),u,w)) \ v6). [para(11690(a,1),16631(a,1,2,1)),flip(a)]. given #15353 (H,wt=25): 16668 K((x * y) \ z,T(u,y)) = K(((x \ z) * x) / T(y * x,K(w,v5)),u). [hyper(15418,a,16659,a(flip))]. given #15354 (H,wt=24): 16829 K((x * y) \ z,T(u,y)) != w | K(((x \ z) * x) / (y * x),u) = w. [para(16668(a,2),16686(a,1))]. given #15355 (H,wt=23): 16830 K(((x \ y) * x) / (K(z,u) * x),w) = K((x * K(z,u)) \ y,w). [hyper(16829,a,16124,a)]. given #15356 (H,wt=23): 16831 K((x * y) / (K(z,u) * y),w) = K((y * K(z,u)) \ (y * x),w). [para(13(a,1),16830(a,1,1,1,1))]. given #15357 (H,wt=25): 16709 K(x,y * T(((z \ u) \ u) \ w,z)) = K(x,y * (w / ((z \ u) \ u))). [hyper(236,a,15755,a(flip),b,16643,a(flip))]. given #15358 (H,wt=25): 16737 K(x,y * (((z \ u) * z) * K(w,v5))) = K(x,y * (K(w,v5) * T(u,z))). [hyper(236,a,13230,a(flip),b,16630,a(flip))]. given #15359 (H,wt=25): 16782 T(x,((y * z) \ u) * (T(y,z) * z)) = T(x,T(u,y * z) * K(y,z)). [para(10758(a,1),16781(a,1,2))]. given #15360 (H,wt=25): 16784 K(x,y * (z * (K(u,T(w,v5)) * v6))) = K(x,y * (z * (K(u,w) * v6))). [para(16107(a,1),16706(a,1,2,2,2))]. given #15361 (H,wt=25): 16808 K(x,y * ((z / (z / u)) / T(w,u))) = K(x,y * (w \ (z / (z / u)))). [hyper(236,a,13160,a(flip),b,16807,a(flip))]. given #15362 (H,wt=25): 16827 K(x,K(y,L(z,u,w)) * (w * u)) != v5 | K(x,w * (u * K(y,z))) = v5. [para(11495(a,1),16765(a,1,2))]. given #15363 (H,wt=24): 16836 K(x,y * (z * K(u \ 1,w))) != v5 | K(x,y * (z * K(u,w))) = v5. [para(16485(a,1),16827(a,1))]. given #15364 (H,wt=25): 16834 K(x,y * ((z * K(u,w)) * T(v5,z))) = K(x,y * (v5 * (K(u,w) * z))). [para(15456(a,1),16784(a,1,2,2))]. given #15365 (H,wt=26): 16752 K(x,y * (z / (K(u,w) * v5))) != v6 | K(x,y * (z / (v5 * K(u,w)))) = v6. [para(10448(a,1),16689(a,1,2,2))]. given #15366 (H,wt=26): 16820 K(x \ 1,T(R(y,x,1 / x),z) / (x \ 1)) = K(x \ 1,T(y * x,z)). [para(2875(a,1),16817(a,2,2,1))]. given #15367 (H,wt=19): 16837 K(x \ 1,T(y * x,z)) = K(x \ 1,T(y,z) * x). [para(2876(a,1),16820(a,1,2)),flip(a)]. given #15368 (H,wt=19): 16838 K(1 / x,x * T(y,z)) = K(x \ 1,T(y * x,z)). [hyper(236,a,13028,a,b,16837,a),flip(a)]. given #15369 (H,wt=19): 16839 K(1 / x,T(y * x,z)) = K(1 / x,x * T(y,z)). [hyper(236,a,3244,a,b,16838,a),flip(a)]. given #15370 (H,wt=21): 16840 K(1 / x,T(y / (1 / x),z)) = K(1 / x,x * T(y,z)). [hyper(11009,a,16839,a)]. given #15371 (H,wt=25): 16841 K(1 / (x / y),(x / y) * T(z,x)) = K(1 / (y \ x),z * (x / y)). [hyper(9453,a,16839,a),flip(a)]. given #15372 (H,wt=23): 16843 K(1 / (x \ y),z * (y / x)) = K(x / y,(y / x) * T(z,y)). [hyper(5826,a,16841,a),flip(a)]. given #15373 (H,wt=21): 16844 K(x / y,(y / x) * T(z,y)) = K(y \ x,z * (y / x)). [hyper(6498,a,16843,a),flip(a)]. given #15374 (H,wt=24): 16845 K(x / y,(y / x) * T(z,y)) != u | K(y \ x,z * (y / x)) = u. [para(16843(a,1),6498(a,1))]. given #15375 (H,wt=26): 16825 K(x,y * (K(z,u \ w) * v5)) != v6 | K(x,y * (K(z,w / u) * v5)) = v6. [para(121(a,1),16753(a,1,2,2,1,2))]. given #15376 (H,wt=26): 16826 K(x,y * (K(z,u / w) * v5)) != v6 | K(x,y * (K(z,w \ u) * v5)) = v6. [para(8066(a,1),16753(a,1,2,2,1))]. given #15377 (H,wt=26): 16833 T(x,T(y,z * u) * K(z,u)) != w | T(x,((z * u) \ y) * (u * z)) = w. [para(16782(a,1),16498(a,1))]. given #15378 (H,wt=27): 16805 T(K(x,T(y,z)) * u,w) / K(x,y) = T(K(x,y) * u,w) / T(K(x,y),z). [para(16107(a,1),16777(a,1,1,1))]. given #15379 (H,wt=27): 16846 T(K(x,y) * z,u) / T(K(x,y),w) = T(K(x,T(y,w)) * z,u) * K(y,x). [hyper(7561,a,16805,a),flip(a)]. given #15380 (H,wt=27): 16847 T(K(x,y) * z,u) / K(x,T(y,w)) = T(K(x,T(y,w)) * z,u) * K(y,x). [para(7256(a,2),16846(a,1,2))]. given #15381 (H,wt=27): 16848 T(K(x,T(y,z)) * u,w) * K(y,x) = T(K(x,y) * u,w) * K(y,T(x,z)). [hyper(7671,a,16847,a),flip(a)]. given #15382 (H,wt=29): 16542 K(x,y * T(1 / z,(u * (w \ 1)) \ v5)) = K(x,y / T(z,(u * (1 / w)) \ v5)). [para(4611(a,1),16539(a,1,2,2))]. given #15383 (H,wt=29): 16606 K(x,K(y,z)) * K(x \ (y * z),T(y \ x,u)) = K(x \ (y * T(z,u)),x / y). [hyper(7969,a,16065,a)]. given #15384 (H,wt=29): 16608 x * K(y * K(z,u),K(u,z) * (y \ x)) = (K(z,u) * y) * (x / (K(z,u) * y)). [para(5260(a,1),16273(a,1,2,2))]. given #15385 (H,wt=29): 16609 K(x,K(y,z \ (u \ z))) * K((u \ 1) * T(y,z),x) = K(T(y,z) * (u \ 1),x). [para(7937(a,1),16330(a,1,1))]. given #15386 (H,wt=25): 16851 K(x,K(y,z)) * K((y \ 1) * T(z,u),x) = K(T(z,u) * (y \ 1),x). [para(16076(a,1),16609(a,1,1))]. given #15387 (H,wt=23): 16852 K(x,K(y,z)) * K(y \ T(z,u),x) = K(T(z,u) * (y \ 1),x). [para(14109(a,1),16851(a,1,2))]. given #15388 (H,wt=24): 16854 K(x,K(y,z)) * K(y \ T(z,u),x) != w | K(T(z,u) / y,x) = w. [para(16852(a,2),14377(a,1))]. given #15389 (H,wt=29): 16718 K(x / (K(y,T(z,u)) * w),T(v5,K(z,y) * w)) = K((K(y,T(z,u)) * w) \ x,v5). [para(16693(a,1),7312(a,1,2))]. given #15390 (H,wt=29): 16786 K(x,y * K(T(z * T(u,w),u) * v5,v6)) = K(x,K(v6,(T(u,w) * z) * v5) * y). [para(16713(a,2),16275(a,2,2,2)),flip(a)]. given #15391 (H,wt=29): 16819 K(x * K(y,x),T(z / (x * K(y,x)),u)) = K(x,T(T(z,u) / (x * K(y,x)),y)). [hyper(8428,a,16817,a),flip(a)]. given #15392 (H,wt=23): 16855 K(x,T(T(y,z) / (x * K(u,x)),u)) = K(x,T(T(y / x,z),u)). [hyper(9999,a,16819,a),flip(a)]. given #15393 (H,wt=19): 16856 K(x,T(T(y,z) / x,u)) = K(x,T(T(y / x,z),u)). [hyper(236,a,9580,a(flip),b,16855,a(flip)),flip(a)]. given #15394 (H,wt=29): 16850 T(K(x \ (y * z),y \ x) * K(x,K(y,z)),u) = K(x \ (y * T(z,u)),x / y). [hyper(236,a,16774,a,b,16606,a(flip)),flip(a)]. given #15395 (H,wt=23): 16857 K(x \ (y * T(z,u)),x / y) = T(K(x \ (y * z),x / y),u). [para(10828(a,1),16850(a,1,1)),flip(a)]. given #15396 (H,wt=26): 16858 K(x \ (y * T(z,u)),x / y) != w | K(x \ (y * z),T(x / y,u)) = w. [para(16857(a,2),7817(a,1))]. given #15397 (H,wt=26): 16859 K(x \ (y * z),T(z \ x,u)) != w | K(x \ (z * y),T(x / z,u)) = w. [para(15911(a,1),16858(a,1))]. given #15398 (H,wt=30): 16019 K(x,(y * z) \ u) * K(u / (y * z),x) != w | K(x,K((y * z) \ u,z * y)) = w. [para(15993(a,1),8043(a,1,2))]. given #15399 (H,wt=19): 16860 K(x,K((y * z) \ u,z * y)) = K(x,K(y * z,u)). [hyper(16019,a,9406,a)]. given #15400 (H,wt=30): 16078 K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(y / u,K(z,1 / z) / (z * y))). [hyper(236,a,11627,a,b,16042,a),flip(a)]. given #15401 (H,wt=30): 16396 (K(x,y) / z) * (u / (K(x,y) / z)) != w | (z \ K(x,y)) * (u / (z \ K(x,y))) = w. [para(16320(a,1),13361(a,1))]. given #15402 (H,wt=30): 16430 T(x,K(y,z \ u) * (w * (z \ T(u,y)))) != v5 | T(x,w * T(z \ T(u,y),y)) = v5. [para(7434(a,1),16410(a,1,2,1))]. given #15403 (H,wt=30): 16432 K(x,K(y * z,u) * (w / ((y \ 1) \ z))) != v5 | K(x,w / T((y \ 1) \ z,u)) = v5. [para(14050(a,1),16414(a,1,2,1))]. given #15404 (H,wt=30): 16719 L(K(x,y * K(z,T(u,w))),x,v5) = (x * K(v6,v7)) \ (T(x,K(u,z) * y) * K(v6,v7)). [para(16693(a,1),16407(a,2,2,1))]. given #15405 (H,wt=31): 16006 x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,x / y)). [hyper(236,a,15419,a,b,16002,a),flip(a)]. given #15406 (H,wt=31): 16321 T(K(x,y) \ z,K(x,y)) * (u / (K(x,y) \ z)) = (K(x,y) \ z) * (u / (z / K(x,y))). [para(6360(a,1),16094(a,1,2)),flip(a)]. given #15407 (H,wt=31): 16336 K(x,T(y \ ((z \ u) * z),(z \ u) * T(z,u))) = K(x,T((z \ u) * T(z,u),z) / y). [para(4252(a,1),16205(a,1,2,1,2))]. given #15408 (H,wt=25): 16864 K(x,T((y \ z) * T(y,z),y) / u) = K(x,T(u \ ((y \ z) * y),z)). [para(12992(a,1),16336(a,1,2)),flip(a)]. given #15409 (H,wt=21): 16865 K(x,T(y \ ((z \ u) * z),u)) = K(x,((z \ u) * z) / y). [para(4252(a,1),16864(a,1,2,1)),flip(a)]. given #15410 (H,wt=31): 16392 K(x / K(y,z),K(y,z)) \ T(u,x / K(y,z)) = (x / K(y,z)) \ (u * (K(y,z) \ x)). [para(121(a,1),16252(a,2,2,2))]. given #15411 (H,wt=31): 16395 (K(x,y) \ z) \ (u * T(K(x,y) \ z,K(x,y))) = (z * K(y,x)) \ (u * (K(x,y) \ z)). [para(8191(a,1),16318(a,1,1)),flip(a)]. given #15412 (H,wt=27): 16867 (K(x,y) \ z) \ (u * (z * K(y,x))) = (z * K(y,x)) \ (u * (K(x,y) \ z)). [para(8191(a,1),16395(a,1,2,2))]. given #15413 (H,wt=31): 16427 K(x,T(y \ ((z \ u) * z),w)) = ((w * x) / w) / ((w * (x * K(y \ T(u,z),x))) / w). [para(16423(a,1),9124(a,1,2,1,2,2)),flip(a)]. given #15414 (H,wt=21): 16868 K(x,T(y \ ((z \ u) * z),w)) = K(x,T(y \ T(u,z),w)). [hyper(236,a,9124,a(flip),b,16427,a)]. given #15415 (H,wt=19): 16870 K(x,T(y \ T(z,u),z)) = K(x,((u \ z) * u) / y). [hyper(236,a,16865,a(flip),b,16868,a(flip))]. given #15416 (H,wt=17): 16871 K(x,((y \ z) * y) / u) = K(x,T(z,y) / u). [hyper(16220,a,16870,a),flip(a)]. given #15417 (H,wt=20): 16872 K(x,((y \ z) * y) / u) != w | K(x,T(z,y) / u) = w. [para(16870(a,1),16220(a,1))]. given #15418 (H,wt=23): 16873 K(x,(y * K(z \ 1,y * z)) / u) = K(x,T(y,y * z) / u). [para(5160(a,1),16871(a,1,2,1))]. given #15419 (H,wt=21): 16874 K(x,(y * K(z \ 1,y * z)) / u) = K(x,T(y,z) / u). [hyper(236,a,16496,a(flip),b,16873,a)]. given #15420 (H,wt=21): 16875 K(x,K(y \ 1,z * y) * (z / u)) = K(x,T(z,y) / u). [para(15072(a,1),16874(a,1,2))]. given #15421 (H,wt=19): 16876 K(x,(y / z) * K(u,y * u)) = K(x,T(y,u) / z). [hyper(16362,a,16875,a)]. given #15422 (H,wt=24): 16869 K(x,T(y \ ((z \ u) * z),w)) != v5 | K(x,T(y \ T(u,z),w)) = v5. [para(16427(a,2),9125(a,1))]. given #15423 (H,wt=31): 16529 K(x \ (y * (((z * u) \ z) \ z)),w) = K(x \ (y * ((u \ 1) * ((z * u) / (u \ 1)))),w). [para(6375(a,1),16526(a,2,1,2,2)),flip(a)]. given #15424 (H,wt=31): 16621 K(x,y * (T(z,u * w) / (u * T(w,K(v5,v6))))) = K(x,y * ((u * T(w,K(v5,v6))) \ z)). [para(16611(a,1),13159(a,1,2,2,1))]. given #15425 (H,wt=31): 16815 K(x * ((y * z) / T(u,L(z,y,z) * y)),w) = K(x * (u \ T(L(z,y,z) * y,z)),w). [para(4245(a,1),16814(a,1,1,2,1))]. given #15426 (H,wt=28): 16877 K(x * (y \ T(L(z,u,z) * u,z)),w) = K(x * ((u * z) / T(y,z * u)),w). [para(13077(a,1),16815(a,1,1,2,2)),flip(a)]. given #15427 (H,wt=23): 16878 K(x * ((y * z) / T(u,z * y)),w) = K(x * (u \ (y * z)),w). [para(4245(a,1),16877(a,1,1,2,2)),flip(a)]. given #15428 (H,wt=31): 16849 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(236,a,11264,a,b,16848,a(flip)),flip(a)]. given #15429 (H,wt=31): 16862 x \ (y * ((y \ x) * K((z / y) \ (y \ x),u))) = K(((y \ x) * y) / z,T(u,x / y)). [para(6270(a,1),16006(a,1,2,2))]. given #15430 (H,wt=27): 16882 K(((x \ y) * x) / z,T(u,y / x)) = y \ (y * K((x * (z / x)) \ y,u)). [para(6615(a,1),16862(a,1,2)),flip(a)]. given #15431 (H,wt=23): 16883 K(((x \ y) * x) / z,T(u,y / x)) = K((x * (z / x)) \ y,u). [hyper(236,a,13,a(flip),b,16882,a)]. given #15432 (H,wt=25): 16884 K((x * ((y * ((x \ z) * x)) / x)) \ z,u) = K(1 / y,T(u,z / x)). [hyper(5709,a,16883,a),flip(a)]. given #15433 (H,wt=28): 16886 K((x * ((y * ((x \ z) * x)) / x)) \ z,u) != w | K(1 / y,T(u,z / x)) = w. [para(16883(a,1),5709(a,1))]. given #15434 (H,wt=31): 16863 T(K(x,y) \ z,K(x,y)) * (u / (K(x,y) \ z)) = (K(y,x) * z) * (u / (z / K(x,y))). [para(5260(a,1),16321(a,2,1))]. given #15435 (H,wt=31): 16881 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(7221(a,1),16849(a,1,2,1))]. given #15436 (H,wt=27): 16888 K(x,y) \ T(z * K(x,T(y,u)),w) = T(K(x,y) * z,w) * K(y,T(x,u)). [para(16386(a,1),16881(a,1,2,1))]. given #15437 (H,wt=27): 16889 T(K(x,y) * z,u) * K(y,T(x,w)) = K(y,x) * T(z * K(x,T(y,w)),u). [hyper(5286,a,16888,a),flip(a)]. given #15438 (H,wt=27): 16890 K(x,T(y,z)) * T(u * K(y,x),w) = K(x,y) * T(u * K(y,T(x,z)),w). [hyper(236,a,16227,a(flip),b,16889,a(flip)),flip(a)]. given #15439 (H,wt=31): 16887 T(K(x,y) \ z,K(x,y)) * (u / (K(x,y) \ z)) = (K(y,x) * z) * (u / (z * K(y,x))). [para(7547(a,1),16863(a,2,2,2))]. given #15440 (H,wt=27): 16891 (K(x,y) * z) * (u / (z * K(x,y))) = (z * K(x,y)) * (u / (K(y,x) \ z)). [para(8191(a,1),16887(a,1,1)),flip(a)]. given #15441 (H,wt=27): 16892 (K(x,y) * z) * (u / (z * K(x,y))) = (z * K(x,y)) * (u / (K(x,y) * z)). [para(5260(a,1),16891(a,2,2,2))]. given #15442 (H,wt=32): 16388 (x * (y * K(z,K(u,w)))) \ (x * ((K(z,K(u,w)) * y) * v5)) = L(v5,K(z,K(u,w)) * y,x). [para(16117(a,1),28(a,2,1)),flip(a)]. given #15443 (H,wt=33): 16016 T(x,T(((y \ z) \ u) \ K(y \ z,y),(z / y) \ u)) = T(x,((y \ z) \ u) \ K(y \ z,y)). [para(5507(a,1),16015(a,1,2,2))]. given #15444 (H,wt=33): 16017 T(x,T((K(y,y \ z) * u) \ (y \ z),(z / y) * u)) = T(x,(K(y,y \ z) * u) \ (y \ z)). [para(5571(a,1),16015(a,1,2,2))]. given #15445 (H,wt=29): 16893 T(x,T(y \ T(z \ u,z),(u / z) * y)) = T(x,(K(z,z \ u) * y) \ (z \ u)). [para(14472(a,1),16017(a,1,2,1))]. given #15446 (H,wt=33): 16334 L(T(x,K(y,z) * (u * y)),u * y,K(y,z)) = K(x,u * T(y,z)) * L(x,u * y,K(y,z)). [para(16174(a,1),14205(a,1,1)),flip(a)]. given #15447 (H,wt=33): 16348 K(x,y * (K(z,u) * (w / z))) * K(x,K(y,w / T(z,u))) = K(x,(K(z,u) * (w / z)) * y). [para(16299(a,1),13242(a,1,2,2))]. given #15448 (H,wt=33): 16350 K(x,x \ 1) * ((K(y,z) / x) \ u) = u * T(u \ (1 * ((K(y,z) / x) \ u)),K(y,z) / x). [para(16343(a,1),14190(a,1,1))]. given #15449 (H,wt=31): 16894 K(x,x \ 1) * ((K(y,z) / x) \ u) = u * T(u \ ((K(y,z) / x) \ u),K(y,z) / x). [para(11(a,1),16350(a,2,2,1,2))]. given #15450 (H,wt=31): 16896 K(x,x \ 1) * ((K(y,z) / x) \ u) = u * T(u \ ((K(y,z) / x) \ u),x \ K(y,z)). [para(16125(a,1),16894(a,2,2))]. given #15451 (H,wt=29): 16897 (1 / T(x * K(y,z),x \ K(z,y))) \ u = K(x,x \ 1) * ((K(z,y) / x) \ u). [hyper(236,a,14201,a(flip),b,16896,a),flip(a)]. given #15452 (H,wt=25): 16898 K(x,x \ 1) * ((K(y,z) / x) \ u) = (1 / ((x \ 1) \ K(z,y))) \ u. [para(14648(a,1),16897(a,1,1,2)),flip(a)]. given #15453 (H,wt=23): 16899 K(x,x \ 1) * ((K(y,z) / x) \ u) = (K(y,z) * (x \ 1)) \ u. [para(14511(a,1),16898(a,2,1))]. given #15454 (H,wt=25): 16900 (x \ 1) * ((K(y,z) * (x \ 1)) \ u) = (1 / x) * ((K(y,z) / x) \ u). [para(16899(a,1),2946(a,1,2))]. given #15455 (H,wt=33): 16500 T(L(x * K(y,x),z,u) * K(y,K(w,v5)),y * K(v5,w)) = y \ T(y * L(x,z,u),K(w,v5)). [para(5038(a,2),16476(a,1,1,1))]. given #15456 (H,wt=33): 16510 x * (K(y,K(z \ u,z * w)) * K(w \ z,y * (u / z))) = x * K(w \ z,(u / z) * y). [para(16503(a,1),13249(a,1,2,1))]. given #15457 (H,wt=31): 16901 x * (K(y,K(z,y \ u)) * K(z \ y,z * (u / y))) = x * K(z \ y,(u / y) * z). [para(9284(a,1),16510(a,1,2,1))]. given #15458 (H,wt=29): 16902 x * (K(y,K(z,u)) * K(u \ y,u * (z / y))) = x * K(u \ y,(z / y) * u). [para(9206(a,1),16901(a,1,2,1))]. given #15459 (H,wt=27): 16903 T(x,K(y,z)) * K(z \ y,z * (x / y)) = x * K(z \ y,(x / y) * z). [hyper(7928,a,16902,a)]. given #15460 (H,wt=33): 16544 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(236,a,15657,a,b,16543,a(flip)),flip(a)]. given #15461 (H,wt=33): 16828 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(16238,a,16668,a),flip(a)]. given #15462 (H,wt=33): 16904 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),16544(a,1,2,1,2))]. given #15463 (H,wt=33): 16905 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(7981(a,1),16904(a,1,2))]. given #15464 (H,wt=27): 16906 T(x,y * K(z,u)) \ (T(x,K(z,u)) * T(y,K(z,u))) = T(y,x * K(z,u)). [para(16451(a,1),16905(a,1,2))]. given #15465 (H,wt=27): 16907 K(x,K(y,z)) * (K(u * K(y,z),x) * T(u,K(y,z))) = T(u,x * K(y,z)). [hyper(236,a,10517,a(flip),b,16906,a(flip)),flip(a)]. given #15466 (H,wt=34): 16250 (R(x,K(y,K(z,u)),(x * K(y,K(z,u))) \ w) \ w) * K(y,K(z,u)) = (x * K(y,K(z,u))) \ w. [hyper(17,a,277,a(flip),b,16110,a)]. given #15467 (H,wt=34): 16522 K(x,L((y / z) \ K(u,T(T(w,z),v5)),y / z,z)) = K(x,T((z * K(u,T(w,v5))) / y,z \ y)). [para(8106(a,1),16005(a,2,2,1,1))]. given #15468 (H,wt=34): 16789 K(x * ((K(y,T(z,u)) * w) / L(v5,v5 \ w,K(y,T(z,u)))),v6) = K(x * (K(y,z) * (w / v5)),v6). [para(10740(a,2),16761(a,1,1,2))]. given #15469 (H,wt=34): 16908 K(x * ((K(y,T(z,u)) * w) / T(v5,a(T(z,u),v5 \ w,y))),v6) = K(x * (K(y,z) * (w / v5)),v6). [para(14670(a,1),16789(a,1,1,2,2))]. given #15470 (H,wt=35): 16004 K((((x \ 1) * K(y,z)) * T(u,x \ 1)) \ w,v5) = K((u * (K(y,T(z,x \ u)) * (1 / x))) \ w,v5). [para(15997(a,1),15458(a,1,1,1,2,1)),flip(a)]. given #15471 (H,wt=33): 16909 K((((x \ 1) * K(y,z)) * T(u,x \ 1)) \ w,v5) = K((u * (K(y,T(z,x \ u)) / x)) \ w,v5). [para(14500(a,1),16004(a,2,1,1,2))]. given #15472 (H,wt=35): 16328 T(K(x,y) * (x * T(z,T(x,y))),T(u,x * T(z,T(x,y)))) = (z * T(x,y)) * K(z * T(x,y),u). [para(16151(a,1),13807(a,2,2))]. given #15473 (H,wt=29): 16910 T(K(x,y) * (x * T(z,T(x,y))),T(u,x * T(z,T(x,y)))) = T(z * T(x,y),u). [hyper(236,a,4887,a,b,16328,a)]. given #15474 (H,wt=27): 16911 T(T(x,y) * T(z,T(x,y)),T(u,x * T(z,T(x,y)))) = T(z * T(x,y),u). [para(4906(a,1),16910(a,1,1))]. given #15475 (H,wt=23): 16912 T(x * T(y,z),T(u,y * T(x,T(y,z)))) = T(x * T(y,z),u). [para(119(a,1),16911(a,1,1))]. given #15476 (H,wt=21): 16913 T(x * T(y,z),T(u,y * T(x,y))) = T(x * T(y,z),u). [para(16620(a,1),16912(a,1,2))]. given #15477 (H,wt=19): 16914 T(x * T(y,z),T(u,x * y)) = T(x * T(y,z),u). [para(119(a,1),16913(a,1,2,2))]. given #15478 (H,wt=22): 16916 T(x * T(y,z),T(u,x * y)) != w | T(x * T(y,z),u) = w. [para(16914(a,1),8242(a,1))]. given #15479 (H,wt=35): 16516 T(T(K(x,y) * z,K(x,y)) / u,K(K(x,y) * z,w)) = (z * K(x,y)) / T(u,K(K(x,y) * z,w)). [para(7222(a,1),16515(a,1,1)),flip(a)]. given #15480 (H,wt=35): 16566 K(x,y / (T(z,y / u) * u)) * K(x,K(y,T(z,y / u) * u)) = K(x,T((z * u) \ y,u \ y)). [hyper(9412,a,16565,a)]. given #15481 (H,wt=33): 16917 K(x,(y * z) \ T(u,y)) * K(x,K(u,T(z,u / y) * y)) = K(x,T((z * y) \ u,y \ u)). [para(15806(a,1),16566(a,1,1))]. given #15482 (H,wt=35): 16842 K((((x / y) \ 1) \ y) \ y,z / (y / (((x / y) \ 1) \ y))) = K(1 / (x / y),(x / y) * T(z,x)). [hyper(236,a,15245,a,b,16839,a(flip)),flip(a)]. given #15483 (H,wt=33): 16918 K((((x / y) \ 1) \ y) \ y,z / (y / (((x / y) \ 1) \ y))) = K(y / x,(x / y) * T(z,x)). [hyper(236,a,5702,a(flip),b,16842,a)]. given #15484 (H,wt=31): 16919 K((((x / y) \ 1) \ y) \ y,z / (y / (((x / y) \ 1) \ y))) = K(x \ y,z * (x / y)). [hyper(236,a,16844,a(flip),b,16918,a)]. given #15485 (H,wt=27): 16920 K((((x / y) \ 1) \ y) \ y,z / ((x / y) \ 1)) = K(x \ y,z * (x / y)). [para(62(a,1),16919(a,1,2,2))]. given #15486 (H,wt=27): 16921 K((((x / y) \ 1) \ y) \ y,z / (1 / (x / y))) = K(x \ y,z * (x / y)). [hyper(236,a,5473,a,b,16920,a(flip)),flip(a)]. given #15487 (H,wt=25): 16923 K((x / y) \ 1,T(z / (1 / (x / y)),y)) = K(x \ y,z * (x / y)). [hyper(7820,a,16921,a)]. given #15488 (H,wt=25): 16924 K(1 / (x / y),T(z / (1 / (x / y)),y)) = K(x \ y,z * (x / y)). [hyper(5393,a,16923,a)]. given #15489 (H,wt=23): 16925 K(1 / (x / y),(x / y) * T(z,y)) = K(x \ y,z * (x / y)). [hyper(236,a,16840,a(flip),b,16924,a(flip)),flip(a)]. given #15490 (H,wt=21): 16926 K(x / y,(y / x) * T(z,x)) = K(y \ x,z * (y / x)). [hyper(5826,a,16925,a)]. given #15491 (H,wt=27): 16927 K((x / y) \ x,z * ((x / y) / x)) = K(y,T(((x / y) / x) * T(z,x),x)). [hyper(8417,a,16926,a),flip(a)]. given #15492 (H,wt=23): 16929 K(x,T(((y / x) / y) * T(z,y),y)) = K(x,z * ((y / x) / y)). [hyper(8411,a,16927,a),flip(a)]. given #15493 (H,wt=26): 16930 K(x,T(((y / x) / y) * T(z,y),y)) != u | K(x,z * ((y / x) / y)) = u. [para(16927(a,1),8411(a,1))]. given #15494 (H,wt=36): 16024 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(10056(a,1),16022(a,1,1))]. given #15495 (H,wt=36): 16409 K(((x \ y) \ 1) * z,x / y) * K((x \ y) \ 1,T(z,T(x,u))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(8104(a,1),16222(a,1,1))]. given #15496 (H,wt=34): 16933 K((x \ y) \ z,x / y) * K((x \ y) \ 1,T(z,T(x,u))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(10078(a,1),16409(a,1,1))]. given #15497 (H,wt=32): 16934 K((x \ y) \ z,x / y) * K(y \ x,T(z,T(x,u))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(6269(a,1),16933(a,1,2))]. given #15498 (H,wt=28): 16935 K((x \ y) \ z,x / y) * K(x / y,z) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(9819(a,1),16934(a,1,2))]. given #15499 (H,wt=36): 16932 K(((x / y) \ 1) * z,y / x) * K((x / y) \ 1,T(z,y \ x)) = a((x / y) \ 1,z,(x / y) \ 1). [para(5241(a,1),16024(a,1,1))]. given #15500 (H,wt=34): 16936 K((x \ y) \ z,x / y) * K((y / x) \ 1,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). [para(10470(a,1),16932(a,1,1))]. given #15501 (H,wt=32): 16937 K((x \ y) \ z,x / y) * K(x / y,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). [para(5699(a,1),16936(a,1,2))]. given #15502 (H,wt=28): 16938 K((x \ y) \ z,x / y) * K(x / y,z) = a((y / x) \ 1,z,(y / x) \ 1). [para(8493(a,1),16937(a,1,2))]. given #15503 (H,wt=24): 16939 K((x \ y) \ z,x / y) * K(x / y,z) = a(y \ x,z,y \ x). [hyper(236,a,12751,a(flip),b,16938,a)]. given #15504 (H,wt=21): 16940 a((x \ y) \ 1,z,(x \ y) \ 1) = a(y \ x,z,y \ x). [hyper(236,a,16935,a(flip),b,16939,a(flip)),flip(a)]. given #15505 (H,wt=37): 16618 K(x,((y / K(z,u)) * w) / ((y / K(z,u)) * K(y,K(v5,u)))) = K(x,T(K(y,K(v5,u)) * w,y / K(z,u))). [para(16612(a,1),12210(a,1,2)),flip(a)]. given #15506 (H,wt=33): 16942 K(x,((y / K(z,u)) * w) / ((y / K(z,u)) * K(y,K(z,u)))) = K(x,y \ T(w * y,K(z,u))). [para(16580(a,1),16618(a,2,2))]. given #15507 (H,wt=29): 16944 K(x,((y / K(z,u)) * w) / ((y / K(z,u)) * K(y,K(z,u)))) = K(x,y \ (w * y)). [hyper(236,a,16626,a(flip),b,16942,a)]. given #15508 (H,wt=27): 16946 K(x,((y / K(z,u)) * w) / ((y / K(z,u)) * K(y,K(z,u)))) = K(x,T(w,y)). [para(32(a,2),16944(a,2,2))]. given #15509 (H,wt=21): 16947 K(x,((y / K(z,u)) * w) / (K(z,u) \ y)) = K(x,T(w,y)). [para(7623(a,1),16946(a,1,2,2))]. given #15510 (H,wt=21): 16948 K(x,((y / K(z,u)) * w) / (y / K(z,u))) = K(x,T(w,y)). [hyper(16734,a,16947,a)]. given #15511 (H,wt=15): 16949 K(x,T(y,z / K(u,w))) = K(x,T(y,z)). [hyper(8143,a,16948,a)]. given #15512 (H,wt=15): 16950 K(x,T(y,K(z,u) * w)) = K(x,T(y,w)). [hyper(16385,a,16949,a)]. given #15513 (H,wt=15): 16951 K(x,T(y,K(z,u) / w)) = K(x,T(y,w)). [hyper(9374,a,16949,a)]. given #15514 (H,wt=15): 16952 K(x,T(y,z * K(u,w))) = K(x,T(y,z)). [para(15(a,1),16949(a,1,2,2)),flip(a)]. given #15515 (H,wt=17): 16953 T(x,T(y,z / K(u,w))) = x * K(x,T(y,z)). [para(16949(a,1),4887(a,2,2))]. given #15516 (H,wt=15): 16983 T(x,T(y,z / K(u,w))) = T(x,T(y,z)). [hyper(236,a,4887,a,b,16953,a)]. given #15517 (H,wt=15): 16984 T(x,T(y,z * K(u,w))) = T(x,T(y,z)). [para(15(a,1),16983(a,1,2,2)),flip(a)]. given #15518 (H,wt=15): 16986 T(x,T(y,K(z,u) * w)) = T(x,T(y,w)). [hyper(16233,a,16984,a)]. given #15519 (H,wt=17): 16957 K(x,T(y,K(z,u) * w)) = K(x,(w * y) / w). [hyper(236,a,8070,a,b,16950,a)]. given #15520 (H,wt=17): 16960 K(x,T(y,z \ T(u,w))) = K(x,T(y,z \ u)). [para(5540(a,1),16950(a,1,2,2)),flip(a)]. given #15521 (H,wt=18): 16989 K(x,T(y,K(z,u) * w)) != v5 | K(x,T(y,w)) = v5. [para(16957(a,2),8143(a,1))]. given #15522 (H,wt=18): 16991 K(x,T(y,K(z,u) \ w)) != v5 | K(x,T(y,w)) = v5. [para(5260(a,2),16989(a,1,2,2))]. given #15523 (H,wt=19): 16969 K(x,T(y,(z * u) * K(w,v5))) = K(x,T(y,u * z)). [hyper(236,a,15991,a,b,16952,a)]. given #15524 (H,wt=19): 16973 K(x,T(y,z / (u / w))) = K(x,T(y,z / (w \ u))). [para(6360(a,1),16952(a,1,2,2))]. given #15525 (H,wt=19): 16978 T(x * K(y,T(x,z)),y) = T(x,K(y,z * K(u,w))). [para(16952(a,1),8440(a,1,1,2))]. given #15526 (H,wt=15): 16998 T(x,K(y,z * K(u,w))) = T(x,K(y,z)). [hyper(8944,a,16978,a),flip(a)]. given #15527 (H,wt=15): 16999 T(x,K(y,K(z,u) * w)) = T(x,K(y,w)). [hyper(16307,a,16998,a)]. given #15528 (H,wt=15): 17003 T(x,K(K(y,z) * u,w)) = T(x,K(w,u)). [hyper(8002,a,16999,a)]. given #15529 (H,wt=17): 17007 T(x,K(y,T(z,u) * w)) = T(x,K(z * w,y)). [para(4860(a,1),17003(a,1,2,1)),flip(a)]. given #15530 (H,wt=19): 16995 K(x,T(y,z * (u * K(w,v5)))) = K(x,T(y,u * z)). [para(6586(a,1),16969(a,1,2,2))]. given #15531 (H,wt=19): 17000 T((x * K(y,z)) * u,K(u,x)) = (x * K(y,z)) * u. [hyper(8017,a,16998,a),flip(a)]. given #15532 (H,wt=19): 17001 T(x,K(y,z * (u / w))) = T(x,K(y,z * (w \ u))). [para(6448(a,1),16998(a,1,2,2)),flip(a)]. given #15533 (H,wt=19): 17002 T(x,K(y,z \ (u / w))) = T(x,K(y,z \ (w \ u))). [para(14228(a,1),16998(a,1,2,2))]. given #15534 (H,wt=19): 17004 T(x,K(y,z * (K(u,w) * v5))) = T(x,K(y,z * v5)). [para(10563(a,1),16999(a,1,2,2)),flip(a)]. given #15535 (H,wt=20): 16977 K(x \ y,T(z,x * K(u,w))) != v5 | K(y / x,z) = v5. [para(16952(a,2),8184(a,1))]. given #15536 (H,wt=20): 16992 K(x,T(y,T(z,u) \ w)) != v5 | K(x,T(y,z \ w)) = v5. [para(5204(a,1),16989(a,1,2,2))]. given #15537 (H,wt=19): 17014 K(x,T(y,(z \ u) \ w)) = K(x,T(y,w \ (u / z))). [hyper(16992,a,15697,a)]. given #15538 (H,wt=21): 16955 K(x * (K(y,z) * u),T(w,u)) = K((K(y,z) * u) * x,w). [hyper(13410,a,16950,a),flip(a)]. given #15539 (H,wt=21): 16967 K(x,T(y,z)) * (K(u,w) / z) = (K(u,w) / z) * K(x,y). [para(16951(a,1),8047(a,1,1))]. given #15540 (H,wt=19): 17016 K(x,T(y,z)) / T(z,u) = (K(u,z) / z) * K(x,y). [hyper(14550,a,16967,a)]. given #15541 (H,wt=21): 16971 K(x,T(L(y,z,u),w * K(v5,v6))) = K(x,L(T(y,w),z,u)). [para(40(a,2),16952(a,2,2))]. given #15542 (H,wt=21): 16975 K(x,T(y,z)) * (z * K(u,w)) = (z * K(u,w)) * K(x,y). [para(16952(a,1),8047(a,1,1))]. given #15543 (H,wt=21): 16985 K(x,K(y,z / K(u,w))) = (x \ y) / T(y / x,T(x,z)). [para(16983(a,1),15517(a,1,2)),flip(a)]. given #15544 (H,wt=15): 17021 K(x,K(y,z / K(u,w))) = K(x,K(y,z)). [hyper(236,a,15517,a(flip),b,16985,a)]. given #15545 (H,wt=15): 17022 K(x,K(y,K(z,u) \ w)) = K(x,K(y,w)). [hyper(16052,a,17021,a)]. given #15546 (H,wt=15): 17023 K(x,K(y,K(z,u) / w)) = K(x,K(y,w)). [hyper(9361,a,17021,a)]. given #15547 (H,wt=15): 17024 K(x,K(y,z * K(u,w))) = K(x,K(y,z)). [hyper(236,a,16503,a(flip),b,17021,a(flip)),flip(a)]. given #15548 (H,wt=15): 17028 K(x,K(y,K(z,u) * w)) = K(x,K(y,w)). [hyper(236,a,16502,a(flip),b,17022,a(flip)),flip(a)]. given #15549 (H,wt=15): 17033 K(x,K(y,K(z,u) / w)) = K(x,K(w,y)). [hyper(236,a,7937,a,b,17023,a)]. given #15550 (H,wt=15): 17046 K(x,K(y,K(z,u) * w)) = K(w,K(x,y)). [hyper(236,a,7923,a(flip),b,17028,a)]. given #15551 (H,wt=15): 17054 K(x,K(y * K(z,u),w)) = K(x,K(y,w)). [hyper(9362,a,17033,a),flip(a)]. given #15552 (H,wt=15): 17055 K(x,K(K(y,z) / u,w)) = K(x,K(u,w)). [hyper(7971,a,17033,a)]. given #15553 (H,wt=15): 17062 K(x,K(K(y,z) * u,w)) = K(x,K(u,w)). [hyper(16304,a,17054,a)]. given #15554 (H,wt=17): 17025 K(x,K(y,z * T(u,w))) = K(x,K(y,z * u)). [para(6239(a,1),17021(a,1,2,2)),flip(a)]. given #15555 (H,wt=17): 17026 K(x,K(y,T(z,u) \ w)) = K(x,K(y,z \ w)). [para(7347(a,1),17021(a,1,2,2))]. given #15556 (H,wt=17): 17029 K(x,K(y,T(z,u) * w)) = K(x,K(y,z * w)). [para(4908(a,1),17022(a,1,2,2)),flip(a)]. given #15557 (H,wt=17): 17036 K(x,K(y,z \ T(u,w))) = K(x,K(y,z \ u)). [para(1249(a,1),17024(a,1,2,2))]. given #15558 (H,wt=17): 17037 K(x,K(y,z / T(u,w))) = K(x,K(y,z / u)). [para(6197(a,1),17024(a,1,2,2)),flip(a)]. given #15559 (H,wt=17): 17065 K(x,K(T(y,z) / u,w)) = K(x,K(y / u,w)). [para(1611(a,1),17054(a,1,2,1))]. given #15560 (H,wt=17): 17072 K(x,K(y,z * T(u,w))) = K(x,K(y,u * z)). [hyper(236,a,16044,a,b,17025,a)]. given #15561 (H,wt=17): 17080 K(x,K(T(y,z) / u,w)) = K(x,K(w,u \ y)). [hyper(236,a,16049,a,b,17036,a(flip)),flip(a)]. given #15562 (H,wt=18): 17034 K(x,K(y,K(z,u) / w)) != v5 | K(x,K(w,y)) = v5. [para(17023(a,2),7971(a,1))]. given #15563 (H,wt=18): 17057 K(x,K(y * K(z,u),w)) != v5 | K(x,K(y,w)) = v5. [para(17033(a,1),9362(a,1))]. given #15564 (H,wt=18): 17061 K(x,K(y,K(z,u) * w)) != v5 | K(x,K(y,w)) = v5. [para(17046(a,2),7960(a,1))]. given #15565 (H,wt=18): 17071 K(x,K(y,z)) != u | K(x,K(y * K(w,v5),z)) = u. [para(17062(a,1),16304(a,1))]. given #15566 (H,wt=18): 17088 K(x,K(y,z \ K(u,w))) != v5 | K(x,K(y,z)) = v5. [para(9259(a,2),17061(a,1))]. given #15567 (H,wt=19): 17038 K(x,K(y,z / ((u * w) / u))) = K(x,K(y,z / w)). [para(6359(a,2),17024(a,1,2,2))]. given #15568 (H,wt=19): 17039 K(x,K(y,z / (u / w))) = K(x,K(y,z / (w \ u))). [para(6360(a,1),17024(a,1,2,2))]. given #15569 (H,wt=19): 17040 K(x,K(y,z * (u / w))) = K(x,K(y,z * (w \ u))). [para(6448(a,1),17024(a,1,2,2)),flip(a)]. given #15570 (H,wt=19): 17041 K(x,K(y,(z / u) * w)) = K(x,K(y,(u \ z) * w)). [para(6487(a,1),17024(a,1,2,2))]. given #15571 (H,wt=19): 17042 K(x,K(y,z * (u * K(w,v5)))) = K(x,K(y,z * u)). [para(6586(a,1),17024(a,1,2,2))]. given #15572 (H,wt=19): 17043 K(x,K(y,(z * K(u,w)) * v5)) = K(x,K(y,z * v5)). [para(9860(a,1),17024(a,1,2,2)),flip(a)]. given #15573 (H,wt=19): 17044 K(x,K(y,z / (u * w))) = K(x,K(y,z / (w * u))). [para(10448(a,1),17024(a,1,2,2))]. given #15574 (H,wt=19): 17045 K(x,K(y,z \ (u / w))) = K(x,K(y,z \ (w \ u))). [para(14228(a,1),17024(a,1,2,2))]. given #15575 (H,wt=19): 17047 K(x,K(y,((z * u) / z) * w)) = K(x,K(y,u * w)). [para(5415(a,1),17028(a,1,2,2)),flip(a)]. given #15576 (H,wt=19): 17050 K(x,K(y,z * (K(u,w) * v5))) = K(x,K(y,z * v5)). [para(10563(a,1),17028(a,1,2,2)),flip(a)]. given #15577 (H,wt=19): 17051 K(x,K(y,(z * u) / w)) = K(x,K(y,(u * z) / w)). [para(14807(a,1),17028(a,1,2,2))]. given #15578 (H,wt=19): 17067 K(x,K(K(y,z) / u,w)) = K(x,K(u * K(v5,v6),w)). [hyper(236,a,17054,a,b,17055,a)]. given #15579 (H,wt=19): 17082 K(x,K(y,z / (u / (u / w)))) = K(x,K(y,z / w)). [para(186(a,1),17037(a,1,2,2,2)),flip(a)]. given #15580 (H,wt=19): 17098 K(x,K(y,(z * K(u,w)) * v5)) = K(x,K(y,v5 * z)). [hyper(16073,a,17042,a)]. given #15581 (H,wt=19): 17105 K(x,K(y,(z * u) / w)) = K(x,K(y,w / (u * z))). [hyper(9361,a,17044,a)]. given #15582 (H,wt=20): 17076 K(x,K(y,z * T(u,w))) != v5 | K(x,K(y,u * z)) = v5. [para(17025(a,2),16073(a,1))]. given #15583 (H,wt=20): 17085 K(x,K(y,T(z,u) \ w)) != v5 | K(x,K(y,z \ w)) = v5. [para(5204(a,1),17061(a,1,2,2))]. given #15584 (H,wt=20): 17091 K(x,K(y,z / T(u,w))) != v5 | K(x,K(y,z / u)) = v5. [para(16299(a,1),17061(a,1,2))]. given #15585 (H,wt=21): 17011 K(x,y) * ((x * K(z,u)) * T(y,x)) = (x * K(z,u)) * y. [hyper(6467,a,17000,a)]. given #15586 (H,wt=21): 17012 T(x,K(y,z * (T(u,w) * v5))) = T(x,K(y,z * (u * v5))). [para(4860(a,1),17004(a,1,2,2,2)),flip(a)]. given #15587 (H,wt=21): 17017 ((1 / x) * K(y,z)) * K(u,x) = (K(u,x) / x) * K(y,z). [hyper(236,a,14552,a,b,17016,a(flip)),flip(a)]. given #15588 (H,wt=21): 17018 K(x,L(T(y,z * K(u,w)),v5,v6)) = K(x,L(T(y,z),v5,v6)). [para(40(a,2),16971(a,1,2))]. given #15589 (H,wt=21): 17019 K(x,K(y,z)) * (z * K(u,w)) = T(z * K(u,w),K(x,y)). [hyper(168,a,16975,a(flip),b,10502,a),flip(a)]. given #15590 (H,wt=19): 17119 T(x * K(y,z),K(u,w)) = T(x,K(u,w)) * K(y,z). [hyper(7946,a,17019,a),flip(a)]. given #15591 (H,wt=19): 17121 T(K(x,y) * z,K(u,w)) = K(x,y) * T(z,K(u,w)). [hyper(6146,a,17119,a),flip(a)]. given #15592 (H,wt=19): 17125 T(K(x,y) * z,K(u,w)) = K(x,y) * T(z,K(w,u)). [hyper(8002,a,17121,a)]. given #15593 (H,wt=21): 17052 K(x,K(y,(T(z,u) * w) * v5)) = K(x,K(y,(z * w) * v5)). [para(15448(a,1),17028(a,1,2,2))]. given #15594 (H,wt=21): 17053 K(x,K(y,L(K(z,u) / w,v5,v6))) = K(x,K(w,L(y,v5,v6))). [hyper(11614,a,17033,a)]. given #15595 (H,wt=21): 17063 K(x,K(y,L(z * K(u,w),v5,v6))) = K(x,K(z,L(y,v5,v6))). [hyper(11552,a,17054,a)]. given #15596 (H,wt=21): 17068 K(x,K(y,L(K(z,u) * w,v5,v6))) = K(x,K(w,L(y,v5,v6))). [hyper(11552,a,17062,a)]. given #15597 (H,wt=21): 17099 K(x,K(y,z * (T(u,w) * v5))) = K(x,K(y,z * (u * v5))). [para(5689(a,1),17042(a,1,2,2,2))]. given #15598 (H,wt=21): 17102 K(x,K(y,(T(z,u) / w) * v5)) = K(x,K(y,(z / w) * v5)). [para(1611(a,1),17043(a,1,2,2,1))]. given #15599 (H,wt=21): 17106 K(x,K(y,(K(z,u) * w) / v5)) = K(x,K(y,(1 / v5) * w)). [hyper(16352,a,17050,a)]. given #15600 (H,wt=19): 17135 K(x,K(y,(K(z,u) * w) / v5)) = K(x,K(y,w / v5)). [hyper(236,a,16082,a(flip),b,17106,a)]. given #15601 (H,wt=19): 17136 K(x,K(y,z / (K(u,w) * v5))) = K(x,K(y,v5 / z)). [hyper(9361,a,17135,a)]. given #15602 (H,wt=19): 17140 K(x,K(y,(z * K(u,w)) / v5)) = K(x,K(y,v5 / z)). [para(8093(a,1),17136(a,1,2,2,2)),flip(a)]. given #15603 (H,wt=21): 17116 K(x,L(T(y,K(z,u) * w),v5,v6)) = K(x,L(T(y,w),v5,v6)). [hyper(16413,a,17018,a)]. given #15604 (H,wt=21): 17130 K(x,K(y,z * (T(u,w) * v5))) = K(x,K(y,(u * v5) * z)). [hyper(16073,a,17052,a)]. given #15605 (H,wt=21): 17131 K(x,K(y,L(K(z,u) / w,v5,v6))) = K(x,K(y,L(w,v5,v6))). [hyper(236,a,11551,a,b,17053,a)]. given #15606 (H,wt=21): 17138 K(x,K(y,(z * T(u,w)) / v5)) = K(x,K(y,(z * u) / v5)). [para(5700(a,1),17135(a,1,2,2,1))]. given #15607 (H,wt=21): 17143 K(x,K(y,z / (T(u,w) * v5))) = K(x,K(y,(v5 * u) / z)). [hyper(236,a,17105,a(flip),b,17138,a(flip)),flip(a)]. given #15608 (H,wt=22): 16994 K(x,T(y,z * (K(u,w) * v5))) != v6 | K(x,T(y,z * v5)) = v6. [para(10612(a,1),16989(a,1,2,2))]. given #15609 (H,wt=22): 17015 K(x,T(y,z \ (u / w))) != v5 | K(x,T(y,z \ (w \ u))) = v5. [para(17014(a,1),9375(a,1))]. given #15610 (H,wt=22): 17083 K(x,K(y / z,L(u,z,w))) = K(x,K(u,(y * w) / (w * z))). [hyper(236,a,16489,a(flip),b,17065,a(flip))]. given #15611 (H,wt=22): 17086 K(x,K(y,((z * u) / z) * w)) != v5 | K(x,K(y,u * w)) = v5. [para(5523(a,1),17061(a,1,2,2))]. given #15612 (H,wt=22): 17087 K(x,K(y,(z / u) \ w)) != v5 | K(x,K(y,(u \ z) \ w)) = v5. [para(5507(a,1),17061(a,1,2,2))]. given #15613 (H,wt=22): 17089 K(x,K(y,(z * u) * w)) != v5 | K(x,K(y,(u * z) * w)) = v5. [para(11049(a,1),17061(a,1,2,2))]. given #15614 (H,wt=22): 17090 K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,(u * z) / w)) = v5. [para(14807(a,1),17061(a,1,2,2))]. given #15615 (H,wt=22): 17092 K(x,K(y,z * (u * w))) != v5 | K(x,K(y,z * (w * u))) = v5. [para(16300(a,1),17061(a,1,2))]. given #15616 (H,wt=22): 17093 K(x,K(y,z * (u * K(w,v5)))) != v6 | K(x,K(y,z * u)) = v6. [para(16178(a,1),17061(a,1,2))]. given #15617 (H,wt=22): 17094 K(x,K(y,z \ (u / w))) != v5 | K(x,K(y,z \ (w \ u))) = v5. [para(16523(a,1),17061(a,1,2))]. given #15618 (H,wt=22): 17101 K(x,K(y,z * (u * K(w,v5)))) != v6 | K(x,K(y,u * z)) = v6. [para(17042(a,2),16073(a,1))]. given #15619 (H,wt=22): 17104 K(x,K(y,(z * K(u,w)) * v5)) != v6 | K(x,K(y,v5 * z)) = v6. [para(17043(a,2),16073(a,1))]. given #15620 (H,wt=22): 17108 K(x,K(y,((z * u) * w) / (w * u))) = K(x,K(y,L(z,u,w))). [hyper(236,a,16488,a(flip),b,17051,a)]. given #15621 (H,wt=22): 17110 K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,w / (u * z))) = v5. [para(17051(a,1),9361(a,1))]. given #15622 (H,wt=22): 17112 K(x,K(y,z / (u * w))) != v5 | K(x,K(y,z / (w * u))) = v5. [para(17105(a,1),9361(a,1))]. given #15623 (H,wt=22): 17129 K(x,y) * T(z,K(u,w)) != v5 | T(K(x,y) * z,K(u,w)) = v5. [para(17125(a,1),8002(a,1))]. given #15624 (H,wt=22): 17145 K(x,T(y,z * (u * w))) != v5 | K(x,T(y,z * (w * u))) = v5. [para(4817(a,1),16994(a,1,2,2,2))]. given #15625 (H,wt=22): 17146 K(x,T(y,z * (u \ w))) != v5 | K(x,T(y,z * (w / u))) = v5. [para(4968(a,1),16994(a,1,2,2,2))]. given #15626 (H,wt=23): 16987 T(x,T(y,T((z / u) \ w,K(u,z)))) = T(x,T(y,(u \ z) \ w)). [para(9508(a,1),16984(a,1,2,2))]. given #15627 (H,wt=23): 16988 T(x,T(y,z)) \ T(T(x,K(u,w) * z),y) = K(x,K(u,w) * z). [para(16986(a,1),7451(a,1,1))]. given #15628 (H,wt=23): 16996 K(x,y) * K(x,K(y,z / (u / w))) = K(x,T(y,z / (w \ u))). [hyper(8026,a,16973,a)]. given #15629 (H,wt=22): 17158 K(x,T(y,z / (u \ w))) != v5 | K(x,T(y,z / (w / u))) = v5. [para(16996(a,1),7888(a,1))]. given #15630 (H,wt=23): 17020 K(x,y) * ((1 / y) * K(z,u)) = ((1 / y) * K(z,u)) * K(x,y). [para(5238(a,1),16975(a,1,1))]. given #15631 (H,wt=21): 17159 ((1 / x) * K(y,z)) * K(u,x) = K(u,x) / (K(z,y) * x). [hyper(14591,a,17020,a),flip(a)]. given #15632 (H,wt=19): 17161 K(x,y) / (K(z,u) * y) = (K(x,y) / y) * K(u,z). [hyper(236,a,17017,a(flip),b,17159,a(flip))]. given #15633 (H,wt=23): 17075 x * (T(y,z) * K(u,K(w,x * y))) = T(x * T(y,z),K(u,w)). [para(17025(a,1),13198(a,1,2,2))]. given #15634 (H,wt=23): 17078 T(x,y) * (z * K(u,K(w,x * z))) = T(T(x,y) * z,K(u,w)). [para(17029(a,1),13198(a,1,2,2))]. given #15635 (H,wt=23): 17100 K(x,K(y,z * (u * (w * K(v5,v6))))) = K(x,K(y,z * (u * w))). [para(6586(a,1),17042(a,1,2,2,2))]. given #15636 (H,wt=23): 17103 K(x,K(y,((z / u) * w) * v5)) = K(x,K(y,((u \ z) * w) * v5)). [para(6487(a,1),17043(a,1,2,2,1))]. given #15637 (H,wt=23): 17117 K(x,L(T(y,z * T(u,w)),v5,v6)) = K(x,L(T(y,z * u),v5,v6)). [para(1251(a,1),17018(a,1,2,1,2))]. given #15638 (H,wt=23): 17134 K(x,K(y,((z / (z / u)) / w) * v5)) = K(x,K(y,(u / w) * v5)). [para(186(a,1),17102(a,1,2,2,1,1)),flip(a)]. given #15639 (H,wt=23): 17139 K(x,K(y,z / ((K(u,w) * v5) * v6))) = K(x,K(y,(v5 * v6) / z)). [para(6679(a,1),17136(a,1,2,2,2))]. given #15640 (H,wt=23): 17144 K(x,K(y,(z * (u / w)) / v5)) = K(x,K(y,v5 / ((w \ u) * z))). [para(121(a,1),17143(a,1,2,2,2,1)),flip(a)]. given #15641 (H,wt=23): 17156 T(x,T(y,T((z / u) \ w,K(u,z)))) = T(x,T(y,(u \ z) * w)). [hyper(16000,a,16987,a(flip)),flip(a)]. given #15642 (H,wt=23): 17166 K(x,K(y,z * ((u / (u / w)) / v5))) = K(x,K(y,(w / v5) * z)). [hyper(16073,a,17134,a)]. given #15643 (H,wt=23): 17167 K(x,K(y,z / ((K(u,w) * v5) * v6))) = K(x,K(y,z / (v5 * v6))). [hyper(236,a,9257,a,b,17139,a)]. given #15644 (H,wt=23): 17168 K(x,K(y,((z \ u) / w) * v5)) = K(x,K(y,v5 * ((u / z) / w))). [para(62(a,1),17166(a,1,2,2,2,1,2)),flip(a)]. given #15645 (H,wt=23): 17170 K(x,K(y,z / (u * (K(w,v5) * v6)))) = K(x,K(y,z / (v6 * u))). [hyper(17112,a,17167,a)]. given #15646 (H,wt=23): 17171 K(x,K(y,z / (u * (K(w,v5) * v6)))) = K(x,K(y,z / (u * v6))). [hyper(236,a,17044,a,b,17170,a)]. given #15647 (H,wt=24): 16961 (K(x,y) * z) * K(u,T(w,z)) != v5 | K(u,w) * (K(x,y) * z) = v5. [para(16950(a,1),7283(a,1,2))]. given #15648 (H,wt=24): 16976 K(x \ (y * K(z,u)),T(w,y)) != v5 | K((y * K(z,u)) / x,w) = v5. [para(16952(a,1),8171(a,1))]. given #15649 (H,wt=24): 17013 K(((x \ y) * x) \ z,T(u,y)) != w | K(z / ((x \ y) * x),u) = w. [para(247(a,1),16977(a,1,2,2))]. given #15650 (H,wt=19): 17173 K(T(x,y) \ z,T(u,x)) = K(z / ((y \ x) * y),u). [hyper(17013,a,16454,a),flip(a)]. given #15651 (H,wt=20): 17174 K(x / ((y \ z) * y),u) != w | K(x / T(z,y),u) = w. [para(17173(a,1),16218(a,1))]. given #15652 (H,wt=24): 17056 K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(z * y,y / u)). [hyper(236,a,16078,a,b,17033,a(flip)),flip(a)]. given #15653 (H,wt=24): 17132 K(x,K(y,L(K(z,u) / w,v5,v6))) != v7 | K(x,K(y,L(w,v5,v6))) = v7. [para(17053(a,2),11552(a,1))]. given #15654 (H,wt=24): 17133 K(x,K(y,z * (T(u,w) * v5))) != v6 | K(x,K(y,(u * v5) * z)) = v6. [para(17099(a,2),16073(a,1))]. given #15655 (H,wt=24): 17147 K(x,T(y,z * (T(u,w) \ v5))) != v6 | K(x,T(y,z * (u \ v5))) = v6. [para(5204(a,1),16994(a,1,2,2,2))]. given #15656 (H,wt=21): 17177 K(x,T(y,z * (T(u,w) \ v5))) = K(x,T(y,z * (u \ v5))). [hyper(17147,a,xx),flip(a)]. given #15657 (H,wt=24): 17152 K(x,K(y,(z \ T(u,w)) * v5)) != v6 | K(x,K(y,v5 * (z \ u))) = v6. [para(1249(a,1),17104(a,1,2,2,1))]. given #15658 (H,wt=24): 17153 K(x,K(y,(z / T(u,w)) * v5)) != v6 | K(x,K(y,v5 * (z / u))) = v6. [para(7555(a,1),17104(a,1,2,2,1))]. given #15659 (H,wt=24): 17160 ((1 / x) * K(y,z)) * K(u,x) != w | K(u,x) / (K(z,y) * x) = w. [para(17020(a,1),14591(a,1))]. given #15660 (H,wt=24): 17175 K(x,K((1 / y) / z,L(z / u,u,y))) = K(x,K(y * z,z / u)). [hyper(16099,a,17056,a)]. given #15661 (H,wt=23): 17179 K(x,K((y \ z) * u,u / y)) = K(x,K(z,(1 / (y \ z)) / u)). [hyper(236,a,15357,a(flip),b,17175,a(flip))]. given #15662 (H,wt=23): 17180 K(x,K(y / z,(z \ u) * y)) = K(x,K(u,(1 / (z \ u)) / y)). [hyper(7971,a,17179,a)]. given #15663 (H,wt=19): 17181 K(x,K(y,(1 / (z \ y)) / u)) = K(x,K(y,u / z)). [hyper(236,a,16105,a(flip),b,17180,a(flip))]. given #15664 (H,wt=19): 17182 K(x,K(y,(1 / z) / u)) = K(x,K(y,u / (y / z))). [para(65(a,1),17181(a,1,2,2,1,2))]. given #15665 (H,wt=17): 17183 K(x,K(y,z / (y / u))) = K(x,K(y,z * u)). [hyper(236,a,12155,a(flip),b,17182,a(flip))]. given #15666 (H,wt=17): 17184 K(x,K(y,z * (y / u))) = K(x,K(y,z / u)). [hyper(236,a,17082,a(flip),b,17183,a(flip))]. given #15667 (H,wt=17): 17186 K(x,K(y,z * (x / u))) = K(y,K(x,z / u)). [hyper(7921,a,17184,a)]. given #15668 (H,wt=17): 17187 K(x,K(y,z * (x / u))) = K(x,K(y,z / u)). [hyper(236,a,7919,a,b,17186,a)]. given #15669 (H,wt=25): 16993 K(x,T(y,L(z,u,w) * (w * u))) != v5 | K(x,T(y,w * (u * z))) = v5. [para(4982(a,1),16989(a,1,2,2))]. given #15670 (H,wt=25): 17006 (x * T(y,K(x,z))) \ (T(x,K(u,w) * z) * y) = K(x,K(w,u) * z). [para(16999(a,1),15678(a,1,1,2))]. given #15671 (H,wt=25): 17077 K(x,K(y,z \ u)) \ K(x,y * (u / z)) = K(x,(u / T(z,x)) * y). [para(17026(a,1),16492(a,1,1))]. given #15672 (H,wt=25): 17095 L(K(x,K(y,z / (u / w))),v5,v6) = K(y,K(z / (w \ u),L(x,v5,v6))). [para(17039(a,2),11555(a,1,1))]. given #15673 (H,wt=25): 17113 (x * y) \ ((y * K(z,u)) * T(x,y)) = (y * x) \ ((y * K(z,u)) * x). [hyper(72,a,17011,a(flip),b,11069,a),flip(a)]. given #15674 (H,wt=23): 17192 K(x,(y * (z * u)) / (y * u)) = (u * y) \ ((u * K(x,z)) * y). [hyper(15503,a,17113,a)]. given #15675 (H,wt=25): 17115 ((x * K(y,z)) * T(u,x)) \ (u * x) = ((x * K(y,z)) * u) \ (x * u). [para(17011(a,1),14812(a,1,1)),flip(a)]. given #15676 (H,wt=25): 17118 K(x,L(T(y,z * (u * K(w,v5))),v6,v7)) = K(x,L(T(y,z * u),v6,v7)). [para(6586(a,1),17018(a,1,2,1,2))]. given #15677 (H,wt=25): 17127 K(x,y) * T(z,K(u,w / T(u,v5))) = T(K(x,y) * z,K(u,u * w)). [hyper(236,a,9341,a(flip),b,17121,a(flip))]. given #15678 (H,wt=25): 17163 x * (T(x \ y,z) * K(u,K(w,y))) = T(x * T(x \ y,z),K(u,w)). [para(14(a,1),17075(a,1,2,2,2,2))]. given #15679 (H,wt=25): 17190 K(x,K(y,z \ u)) * K(x,y * (u / z)) = K(x,(u / T(z,x)) * y). [hyper(7969,a,17077,a)]. given #15680 (H,wt=20): 17198 K(x,(y / T(z,x)) * u) != w | K(x,(y / z) * u) = w. [para(17190(a,1),16493(a,1))]. given #15681 (H,wt=25): 17197 x * (T(x \ y,z) * K(y,K(u,w))) = T(x * T(x \ y,z),K(u,w)). [para(7923(a,1),17163(a,1,2,2))]. given #15682 (H,wt=25): 17199 x * T(K(y,K(z,u)) * (x \ y),w) = T(x * T(x \ y,w),K(z,u)). [para(16772(a,2),17197(a,1,2))]. given #15683 (H,wt=23): 17200 T(x * T(x \ y,z),K(u,w)) = x * T(x \ T(y,K(u,w)),z). [para(16113(a,1),17199(a,1,2,1)),flip(a)]. given #15684 (H,wt=26): 16990 K(x / (y \ T(z,u)),T(w,y \ z)) != v5 | K((y \ T(z,u)) \ x,w) = v5. [para(16960(a,1),8178(a,1))]. given #15685 (H,wt=26): 16997 K(x,T(y,z / (u \ w))) != K(x,y) * v5 | K(x,K(y,z / (w / u))) = v5. [para(16973(a,1),8024(a,1))]. given #15686 (H,wt=26): 17149 K(x,K(y / (z \ u),L(w,u,z))) = K(x,K(w,(y * z) / (z * (z \ u)))). [hyper(236,a,15053,a(flip),b,17083,a(flip)),flip(a)]. given #15687 (H,wt=26): 17151 K(x,K(y,z * (u * (w * (v5 / w))))) != v6 | K(x,K(y,z * (u * v5))) = v6. [para(8660(a,1),17093(a,1,2,2,2))]. given #15688 (H,wt=26): 17169 K(x,K(y,(z / u) * w)) != v5 | K(x,K(y,((v6 / (v6 / z)) / u) * w)) = v5. [para(17166(a,1),16073(a,1))]. given #15689 (H,wt=26): 17172 K(x,K(y,z / (u * (K(w,v5) * v6)))) != v7 | K(x,K(y,z / (u * v6))) = v7. [para(17170(a,2),17112(a,1))]. given #15690 (H,wt=26): 17193 (x * y) \ ((x * K(z,u)) * y) != w | K(z,(y * (u * x)) / (y * x)) = w. [para(17113(a,1),15503(a,1))]. given #15691 (H,wt=26): 17201 K(x,K(y,z / (u * (w \ v5)))) != v6 | K(x,K(y,z / (u * (v5 / w)))) = v6. [para(4968(a,1),17172(a,1,2,2,2,2))]. given #15692 (H,wt=27): 17010 K(x / (y * (z * K(u,w))),T(v5,z * y)) = K((y * (z * K(u,w))) \ x,v5). [hyper(8178,a,16995,a),flip(a)]. given #15693 (H,wt=27): 17073 K(x,K(y,z * u)) * K(y,(z * T(u,w)) \ x) = K(y,x / (z * T(u,w))). [para(17025(a,1),9400(a,1,1))]. given #15694 (H,wt=27): 17074 K(x,(y * T(z,u)) \ w) * K(x,K(w,y * z)) = K(x,w / (y * T(z,u))). [para(17025(a,1),9403(a,1,2))]. given #15695 (H,wt=27): 17079 K(x,K(y,z * u)) * K(x,y * (T(z,w) * u)) = K(x,(T(z,w) * u) * y). [para(17029(a,1),13238(a,1,1))]. given #15696 (H,wt=27): 17081 K(x,K(y,z \ u)) * K(x,(z \ T(u,w)) \ y) = K(x,y / (z \ T(u,w))). [para(17036(a,1),9401(a,1,1))]. given #15697 (H,wt=27): 17084 K(x,K(y,z \ u)) * K(y,x * (T(u,w) / z)) = K(y,(T(u,w) / z) * x). [para(17080(a,1),13239(a,1,1))]. given #15698 (H,wt=27): 17111 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(236,a,11569,a(flip),b,17067,a(flip))]. given #15699 (H,wt=23): 17207 K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(w,L(y,y,v7))). [hyper(236,a,17131,a(flip),b,17111,a)]. given #15700 (H,wt=20): 17209 K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(y,w)). [hyper(236,a,11568,a(flip),b,17207,a)]. given #15701 (H,wt=16): 17210 K(x,K(y,L(z,K(u,w),v5))) = K(x,K(y,z)). [hyper(17057,a,17209,a)]. given #15702 (H,wt=27): 17122 T(x * K(y \ z,y * (x / z)),K(z,y)) = x * K(y \ z,(x / z) * y). [hyper(236,a,16903,a(flip),b,17119,a)]. given #15703 (H,wt=27): 17128 K(x,K(y,z)) * T(K(u * K(y,z),x) * u,K(y,z)) = T(u,x * K(y,z)). [para(17121(a,2),16907(a,1,2))]. given #15704 (H,wt=27): 17142 K(x,K(y,z / u)) * (w * K(x,y)) = w * K(x,T(y,(u * K(v5,v6)) / z)). [para(17140(a,1),16386(a,1,1))]. given #15705 (H,wt=19): 17213 K(x,T(y,(z * K(u,w)) / v5)) = K(x,T(y,v5 / z)). [hyper(16404,a,17142,a),flip(a)]. given #15706 (H,wt=21): 17214 K(x,T(y,(z / T(u,w)) / v5)) = K(x,T(y,v5 / (z / u))). [para(7555(a,1),17213(a,1,2,2,1))]. given #15707 (H,wt=21): 17215 K(x,T(y,z / (u / T(w,v5)))) = K(x,T(y,z / (u / w))). [hyper(9374,a,17214,a)]. given #15708 (H,wt=23): 17217 K(x,T(y,z / (u / (w / v5)))) = K(x,T(y,z / (u / (v5 \ w)))). [para(121(a,1),17215(a,1,2,2,2,2)),flip(a)]. given #15709 (H,wt=26): 17216 K(x,T(L(y,z,T(x,u)),w / (v5 / T(v6,v7)))) = K(x,T(y,w / (v5 / v6))). [hyper(236,a,9185,a(flip),b,17215,a)]. given #15710 (H,wt=27): 17164 K(x,T(y,z * (u * (w * K(v5,v6))))) = K(x,y) * K(y,K(x,z * (u * w))). [para(17100(a,1),7956(a,1,2)),flip(a)]. given #15711 (H,wt=23): 17219 K(x,T(y,z * (u * (w * K(v5,v6))))) = K(x,T(y,z * (u * w))). [hyper(236,a,7956,a(flip),b,17164,a)]. given #15712 (H,wt=25): 17220 K(x,T(y,z * (u * (w \ K(v5,v6))))) = K(x,T(y,z * (u * (w \ 1)))). [para(14046(a,1),17219(a,1,2,2,2,2))]. given #15713 (H,wt=27): 17185 K(x,K(y,z * x)) * K(y / x,(y / x) \ z) = K(x \ y,z / (y / x)). [para(17183(a,1),9404(a,1,1))]. given #15714 (H,wt=25): 17221 K(x,K(y,z)) * K(z / x,(z / x) \ y) = K(x \ z,y / (z / x)). [para(9282(a,1),17185(a,1,1))]. given #15715 (H,wt=25): 17222 K(x,K(y,z)) * K(z / x,y / (z / x)) = K(x \ z,y / (z / x)). [para(4994(a,2),17221(a,1,2))]. given #15716 (H,wt=27): 17188 K(x,K(y,z / y)) * K(y / x,(x / y) * z) = K(x \ y,z * (x / y)). [para(17187(a,1),13292(a,1,1))]. given #15717 (H,wt=25): 17223 K(x,K(y,z)) * K(y / x,(x / y) * z) = K(x \ y,z * (x / y)). [para(9210(a,1),17188(a,1,1))]. given #15718 (H,wt=25): 17224 K(x,K(y,z)) * K(z / x,(x / z) * y) = K(x \ z,y * (x / z)). [para(7937(a,1),17223(a,1,1))]. given #15719 (H,wt=27): 17194 K(x,L(T(y,z * (T(u,w) \ v5)),v6,v7)) = K(x,L(T(y,z * (u \ v5)),v6,v7)). [para(8578(a,1),17118(a,1,2,1,2,2))]. given #15720 (H,wt=27): 17196 K(x,y) * T(z,K(u,w / T(u,v5))) = u * T(u \ (K(x,y) * z),K(u,w)). [hyper(236,a,9390,a,b,17127,a)]. given #15721 (H,wt=27): 17202 K(x,L(T(T(y,z),z * u),z,u)) != w | K(x,(u * (y * z)) / (u * z)) = w. [para(15364(a,2),17193(a,1))]. given #15722 (H,wt=27): 17203 K(x / (y * (z * K(u,w))),T(v5,y * z)) = K((y * (z * K(u,w))) \ x,v5). [hyper(16246,a,17010,a)]. given #15723 (H,wt=27): 17206 K(K(x,y \ z),u) * K(u,x * (T(z,w) / y)) = K(u,(T(z,w) / y) * x). [para(7935(a,2),17084(a,1,1))]. given #15724 (H,wt=27): 17212 K(x,K(y,z)) * T(u * K(K(y,z) * u,x),K(y,z)) = T(u,x * K(y,z)). [para(13405(a,1),17128(a,1,2,1))]. given #15725 (H,wt=25): 17228 K(x,K(y,z)) * (K(y,z) \ T(u * K(y,z),x)) = T(u,x * K(y,z)). [para(14120(a,1),17212(a,1,2))]. given #15726 (H,wt=25): 17229 K(x,K(y,z)) * (K(z,y) * T(u * K(y,z),x)) = T(u,x * K(y,z)). [para(5260(a,1),17228(a,1,2))]. given #15727 (H,wt=21): 17230 K(x,T(y,z)) * T(u * K(y,x),z) = T(u,z * K(y,x)). [hyper(8566,a,17229,a)]. given #15728 (H,wt=21): 17231 K(x,y) * T(z * K(y,T(x,u)),u) = T(z,u * K(y,x)). [hyper(236,a,16890,a(flip),b,17230,a(flip)),flip(a)]. given #15729 (H,wt=21): 17232 T(x * K(y,T(z,u)),u) = K(y,z) * T(x,u * K(y,z)). [hyper(5285,a,17231,a),flip(a)]. given #15730 (H,wt=24): 17236 (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) = R(y,K(z,u),x). [para(17232(a,2),14867(a,2,2)),flip(a)]. given #15731 (H,wt=15): 17237 L(x,K(y,T(z,x)),u) = R(x,K(y,z),u). [hyper(236,a,14915,a(flip),b,17236,a(flip)),flip(a)]. given #15732 (H,wt=25): 17235 K(x,y \ z) * T(u,z * K(x,y \ z)) = T(u * K(x,z / y),z). [para(8066(a,1),17232(a,1,1,2)),flip(a)]. given #15733 (H,wt=27): 17218 T(1 / x,T(y,z / (u / T(w,v5)))) = K(1 / x,T(y,z / (u / w))) / x. [para(17215(a,1),5064(a,1,1)),flip(a)]. given #15734 (H,wt=27): 17227 K(x,K(y,z \ u)) \ K(x,y * (T(u,w) / z)) = K(x,(T(u,w) / z) * y). [hyper(5283,a,17206,a)]. given #15735 (H,wt=28): 17114 K(x,y) * ((x * K(z,u)) * T(y,x)) != w * v5 | w \ ((x * K(z,u)) * y) = v5. [para(17011(a,2),545(a,1))]. given #15736 (H,wt=28): 17154 K(x,y) * L(T(z,K(u,w)),v5,v6) != v7 | T(K(x,y) * L(z,v5,v6),K(u,w)) = v7. [para(40(a,2),17129(a,1,2))]. given #15737 (H,wt=28): 17155 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(9592(a,1),17129(a,1,2))]. given #15738 (H,wt=28): 17226 (K(T(x,y),L(z,y,u)) * (y * u)) \ (y * u) = K(z,(u * (x * y)) / (u * y)). [hyper(17202,a,11539,a(flip)),flip(a)]. given #15739 (H,wt=28): 17238 (K(x,T(L(y,z,u),z)) * (z * u)) \ (z * u) = K(y,(u * (x * z)) / (u * z)). [para(7260(a,1),17226(a,1,1,1))]. given #15740 (H,wt=28): 17239 (K(x,L(T(y,z),z,u)) * (z * u)) \ (z * u) = K(y,(u * (x * z)) / (u * z)). [para(40(a,2),17238(a,1,1,1,2))]. given #15741 (H,wt=25): 17240 ((K(x,T(y,z)) * z) * u) \ (z * u) = K(y,(u * (x * z)) / (u * z)). [para(15367(a,1),17239(a,1,1))]. given #15742 (H,wt=23): 17241 K(x,(y * (z * u)) / (y * u)) = ((u * K(z,x)) * y) \ (u * y). [para(8047(a,1),17240(a,1,1,1)),flip(a)]. given #15743 (H,wt=29): 17005 x \ T(y * T(x,K(z,u)),K(z,K(w,v5) * u)) = T(y,K(K(w,v5) * u,z) * x). [para(16999(a,1),15654(a,1,2,1,2))]. given #15744 (H,wt=25): 17242 T(x,K(K(y,z) * u,w) * v5) = v5 \ T(x * T(v5,K(w,u)),K(w,u)). [para(16999(a,1),17005(a,1,2)),flip(a)]. given #15745 (H,wt=19): 17243 T(x,K(K(y,z) * u,w) * v5) = T(x,K(u,w) * v5). [hyper(236,a,15654,a(flip),b,17242,a)]. given #15746 (H,wt=19): 17246 T(x,K(y * K(z,u),w) * v5) = T(x,K(y,w) * v5). [hyper(16748,a,17243,a)]. given #15747 (H,wt=19): 17247 T(x,K(y,K(z,u) * w) * v5) = T(x,K(w,y) * v5). [hyper(15799,a,17243,a)]. given #15748 (H,wt=22): 17244 T(x,K(K(y,z) * u,w) * v5) != v6 | T(x,K(u,w) * v5) = v6. [para(17242(a,2),15801(a,1))]. given #15749 (H,wt=23): 17250 T(x,K(y * (z / u),w) * v5) = T(x,K(y * (u \ z),w) * v5). [para(6448(a,1),17246(a,1,2,1,1)),flip(a)]. given #15750 (H,wt=25): 17249 K(K(x * K(y,z),u) * w,v5) = (v5 * v6) / (T(v5,K(x,u) * w) * v6). [para(17246(a,1),5187(a,1,2,1)),flip(a)]. given #15751 (H,wt=19): 17253 K(K(x * K(y,z),u) * w,v5) = K(K(x,u) * w,v5). [hyper(236,a,5187,a(flip),b,17249,a)]. given #15752 (H,wt=19): 17254 K(K(x,y * K(z,u)) * w,v5) = K(K(y,x) * w,v5). [hyper(16368,a,17253,a)]. given #15753 (H,wt=19): 17255 K(K(K(x,y) * z,u) * w,v5) = K(K(z,u) * w,v5). [para(7249(a,1),17253(a,1,1,1,1))]. given #15754 (H,wt=19): 17256 K(K(x,y * K(z,u)) * w,v5) = K(w * K(y,x),v5). [hyper(236,a,16152,a(flip),b,17254,a)]. given #15755 (H,wt=19): 17257 K(x * K(y,K(z,u) * w),v5) = K(K(w,y) * x,v5). [hyper(16274,a,17255,a)]. given #15756 (H,wt=17): 17260 K(x * K(y,T(z,u)),w) = K(K(z,y) * x,w). [para(1596(a,2),17257(a,1,1,2,2))]. given #15757 (H,wt=19): 17259 K(x * K(y,K(z,u) * w),v5) = K(x * K(y,w),v5). [hyper(236,a,16266,a(flip),b,17257,a)]. given #15758 (H,wt=21): 17258 K((x * K(y,z)) * K(x,u),w) = K(x * K(y,z),T(w,u)). [hyper(8429,a,17256,a),flip(a)]. given #15759 (H,wt=19): 17262 K(T(x,y) * K(z,u),w) = K(x * K(z,u),T(w,y)). [para(16140(a,1),17258(a,1,1))]. given #15760 (H,wt=22): 17261 K(x * K(y,K(z,u) * w),v5) != v6 | K(K(w,y) * x,v5) = v6. [para(17259(a,2),16367(a,1))]. given #15761 (H,wt=20): 17264 K(x * K(y,T(z,u)),w) != v5 | K(K(z,y) * x,w) = v5. [para(1596(a,2),17261(a,1,1,2,2))]. given #15762 (H,wt=22): 17263 K(T(x,y) * K(z,u),w) != v5 | K(K(u,z) * x,T(w,y)) = v5. [para(17262(a,2),16367(a,1))]. given #15763 (H,wt=24): 17265 K((x * (y / x)) * K(z,u),w) != v5 | K(K(u,z) * y,T(w,x)) = v5. [para(15890(a,2),17263(a,1))]. given #15764 (H,wt=26): 17252 T(x,K(y,K(z,u) * (w * v5)) * v6) != v7 | T(x,K(v5 * w,y) * v6) = v7. [para(17247(a,2),16748(a,1))]. given #15765 (H,wt=29): 17096 K(x,K(y,z * (u \ w))) * K(y,(z * (w / u)) \ x) = K(y,x / (z * (w / u))). [para(17040(a,1),9400(a,1,1))]. given #15766 (H,wt=29): 17097 K(x,K(y,(z \ u) * w)) * K(x,y * ((u / z) * w)) = K(x,((u / z) * w) * y). [para(17041(a,1),13238(a,1,1))]. given #15767 (H,wt=29): 17195 K(x,L(T(y,z * (((u \ w) * u) * v5)),v6,v7)) = K(x,L(T(y,z * (w * v5)),v6,v7)). [para(8731(a,1),17118(a,1,2,1,2,2))]. given #15768 (H,wt=29): 17233 K(x,y) \ T(z * K(x,T(y,u \ w)),(u \ 1) * w) = T(z,(u \ w) * K(x,y)). [hyper(14270,a,17232,a)]. given #15769 (H,wt=29): 17266 K(x,y) \ T(z * K(x,T(y,u * w)),(u \ 1) * w) = T(z,(u \ w) * K(x,y)). [para(15979(a,1),17233(a,1,2,1,2))]. given #15770 (H,wt=27): 17267 K(x,y) \ T(z * K(x,T(y,u * w)),u \ w) = T(z,(u \ w) * K(x,y)). [para(14238(a,1),17266(a,1,2))]. given #15771 (H,wt=30): 17205 K(x,(T(y,z) * u) * w) != K(x,K(w,y * u)) * v5 | K(x,w * (T(y,z) * u)) = v5. [para(17079(a,1),19(a,1))]. given #15772 (H,wt=31): 17008 T(T(K(x,y) * z,K(x,y)) / u,K(K(x,y) * z,w)) = (z * K(x,y)) / T(u,K(w,z)). [para(17003(a,1),16516(a,2,2))]. given #15773 (H,wt=31): 17009 x \ T(y * T(x,K(z * u,w)),K(T(z,v5) * u,w)) = T(y,K(w,T(z,v5) * u) * x). [para(17007(a,1),15657(a,1,2,1,2))]. given #15774 (H,wt=31): 17032 (K(x,y) \ z) \ (u * T(K(x,y) \ z,K(w,v5))) = K(w,K(v5,z)) \ T(u,K(x,y) \ z). [para(17022(a,1),16393(a,1,1)),flip(a)]. given #15775 (H,wt=27): 17270 K(x,K(y,z)) \ T(u,K(x,y) \ z) = (K(x,y) \ z) \ (u * (z * K(y,x))). [para(8191(a,1),17032(a,1,2,2)),flip(a)]. given #15776 (H,wt=23): 17271 (K(x,y) \ z) \ (u * (z * K(y,x))) = z \ T(u * z,K(x,y)). [hyper(236,a,16799,a(flip),b,17270,a(flip))]. given #15777 (H,wt=23): 17272 (x * K(y,z)) \ (u * (K(z,y) \ x)) = x \ T(u * x,K(z,y)). [hyper(236,a,16867,a(flip),b,17271,a(flip)),flip(a)]. given #15778 (H,wt=23): 17273 (x * K(y,z)) \ (u * (K(z,y) \ x)) = x \ T(u * x,K(y,z)). [para(7981(a,1),17272(a,2,2))]. given #15779 (H,wt=31): 17157 K(x,K(y,z) * (K(u,K(w,v5)) / (v6 \ 1))) = T(x,T(v7,v6)) \ T(T(x,K(y,z) * v6),v7). [hyper(236,a,16722,a,b,16988,a),flip(a)]. given #15780 (H,wt=26): 17274 T(x,T(y,z)) \ T(T(x,K(u,w) * z),y) != v5 | K(x,K(u,w) * z) = v5. [para(17157(a,1),16764(a,1))]. given #15781 (H,wt=31): 17204 K(x,(y * T(z,u \ 1)) \ w) * K(x,K(w,y * z)) = K(x,w / (y * T(z,1 / u))). [para(3019(a,1),17074(a,1,1,2,1,2))]. given #15782 (H,wt=31): 17234 K(x,y) \ T(z * K(x,T(y,(u \ w) \ 1)),w \ u) = T(z,((u \ w) \ 1) * K(x,y)). [hyper(72,a,6361,a(flip),b,17232,a(flip))]. given #15783 (H,wt=29): 17275 K(x,y) \ T(z * K(x,T(y,u \ w)),u \ w) = T(z,((w \ u) \ 1) * K(x,y)). [para(6361(a,1),17234(a,1,2,1,2,2))]. given #15784 (H,wt=29): 17276 K(x,y) \ T(z * K(x,T(y,u * w)),u \ w) = T(z,((w \ u) \ 1) * K(x,y)). [para(15979(a,1),17275(a,1,2,1,2))]. given #15785 (H,wt=21): 17277 T(x,((y \ z) \ 1) * K(u,w)) = T(x,(z \ y) * K(u,w)). [hyper(236,a,17267,a(flip),b,17276,a(flip))]. given #15786 (H,wt=19): 17278 T(x,(y \ z) \ K(u,w)) = T(x,(z \ y) * K(u,w)). [hyper(14260,a,17277,a)]. given #15787 (H,wt=31): 17268 T(T(K(x,y) * z,K(x,y)) / u,K(K(x,y) * z,w)) = (z * K(x,y)) / T(u,K(z,w)). [para(7981(a,1),17008(a,2,2))]. given #15788 (H,wt=27): 17279 T((x * K(y,z)) / u,K(K(y,z) * x,w)) = (x * K(y,z)) / T(u,K(x,w)). [para(7222(a,1),17268(a,1,1,1))]. given #15789 (H,wt=23): 17280 (x * K(y,z)) / T(u,K(x,w)) = T((x * K(y,z)) / u,K(w,x)). [hyper(236,a,17003,a(flip),b,17279,a(flip))]. given #15790 (H,wt=23): 17282 (x * K(y,z)) / T(u,K(x,w)) = T((x * K(y,z)) / u,K(x,w)). [hyper(236,a,7981,a,b,17280,a)]. given #15791 (H,wt=32): 17225 K(x,y) * T(z,K(y,u / T(y,w))) = y * T(L(T(y,x) \ z,T(v5,v6),K(v7,v5)),K(y,u)). [para(6840(a,2),17196(a,2,2,1))]. given #15792 (H,wt=32): 17283 K(x,y) * T(z,K(y,u / T(y,w))) = y * L(T(T(y,x) \ z,K(y,u)),T(v5,v6),K(v7,v5)). [para(40(a,2),17225(a,2,2))]. given #15793 (H,wt=23): 17284 T(x,K(y,z / T(y,u))) = T(y,w) * T(T(y,w) \ x,K(y,z)). [hyper(4929,a,17283,a),flip(a)]. given #15794 (H,wt=21): 17285 T(x,y) \ T(z,K(x,x * u)) = T(T(x,y) \ z,K(x,u)). [hyper(72,a,9341,a(flip),b,17284,a(flip))]. given #15795 (H,wt=19): 17286 T(x,y) \ T(z,K(x,u)) = T(T(x,y) \ z,K(x,u)). [para(9305(a,1),17285(a,1,2))]. given #15796 (H,wt=33): 16982 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(16952(a,1),15389(a,1))]. given #15797 (H,wt=33): 17109 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(897(a,1),17051(a,1,2,2)),flip(a)]. given #15798 (H,wt=33): 17288 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(236,a,14083,a,b,17109,a)]. given #15799 (H,wt=33): 17289 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(16050(a,1),17288(a,2,3))]. given #15800 (H,wt=26): 17290 K(x,K(y,((z \ u) * (w * z)) / (w * u))) = a(y,z,K(x,K(w,u / z))). [hyper(17091,a,17289,a)]. given #15801 (H,wt=34): 17165 K(x,K(y,((z \ (z * ((1 / z) * u))) * w) * v5)) = K(x,K(y,(L(u / z,z,1 / z) * w) * v5)). [para(820(a,1),17103(a,1,2,2,1,1)),flip(a)]. given #15802 (H,wt=30): 17292 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),17165(a,1,2,2,1,1)),flip(a)]. given #15803 (H,wt=33): 17293 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(16353,a,17292,a)]. given #15804 (H,wt=33): 17295 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),17293(a,1,2,2,2))]. given #15805 (H,wt=34): 17251 L(K(x,y * K(z,T(u * K(w,v5),v6))),x,v7) = (x * K(v8,v9)) \ (T(x,K(u,z) * y) * K(v8,v9)). [para(17246(a,1),16719(a,2,2,1))]. given #15806 (H,wt=27): 17296 L(K(x,y * K(z,T(u * K(w,v5),v6))),x,v7) = L(K(x,y * K(u,z)),x,v8). [hyper(236,a,16407,a,b,17251,a)]. given #15807 (H,wt=24): 17298 L(K(x,y * K(z,T(u * K(w,v5),v6))),x,v7) = K(x,y * K(u,z)). [hyper(236,a,16553,a(flip),b,17296,a)]. given #15808 (H,wt=22): 17299 L(K(x,y * K(z,u * K(w,v5))),x,v6) = K(x,y * K(u,z)). [para(118(a,1),17298(a,1,1,2,2,2))]. given #15809 (H,wt=19): 17300 K(x,y * K(z,u * K(w,v5))) = K(x,y * K(u,z)). [hyper(16554,a,17299,a)]. given #15810 (H,wt=19): 17301 K(x,K(y,K(z,u) * w) * v5) = K(x,v5 * K(w,y)). [hyper(16366,a,17300,a)]. given #15811 (H,wt=19): 17302 K(x,K(y,z * K(u,w)) * v5) = K(x,v5 * K(z,y)). [hyper(16182,a,17300,a)]. given #15812 (H,wt=19): 17303 K(x,K(y,K(z,u) * w) * v5) = K(x,K(w,y) * v5). [hyper(236,a,16154,a,b,17301,a)]. given #15813 (H,wt=19): 17306 K(x,y * K(K(z,u) * w,v5)) = K(x,K(w,v5) * y). [hyper(16361,a,17303,a)]. given #15814 (H,wt=21): 17304 K(x,K(y,T(z,u) * w) * v5) = K(x,v5 * K(z * w,y)). [para(4906(a,1),17301(a,1,2,1,2))]. given #15815 (H,wt=21): 17307 K(x,K(T(y,z) \ u,w) * v5) = K(x,K(w,y \ u) * v5). [para(5178(a,1),17303(a,1,2,1,2)),flip(a)]. given #15816 (H,wt=21): 17308 K(x,K(y,T(z,u) \ w) * v5) = K(x,K(y,z \ w) * v5). [hyper(15676,a,17307,a)]. given #15817 (H,wt=22): 17305 K(x,K(y,K(z,u) * w) * v5) != v6 | K(x,K(w,y) * v5) = v6. [para(17301(a,2),16182(a,1))]. given #15818 (H,wt=22): 17310 K(x,y * K(K(z,u) * w,v5)) != v6 | K(x,K(w,v5) * y) = v6. [para(16275(a,1),17305(a,1))]. given #15819 (H,wt=22): 17311 K(x,K(y * K(z,u),w) * v5) != v6 | K(x,K(y,w) * v5) = v6. [para(16721(a,2),17305(a,1))]. given #15820 (H,wt=23): 17309 K(x,K(y,(z / u) \ w) * v5) = K(x,K(y,(u \ z) \ w) * v5). [para(121(a,1),17308(a,1,2,1,2,1)),flip(a)]. given #15821 (H,wt=35): 17162 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(17161(a,2),10201(a,2,2))]. given #15822 (H,wt=35): 17287 T(T(K(x,y) * z,K(x,y)) \ u,K(K(x,y) * z,w)) = (z * K(x,y)) \ T(u,K(K(x,y) * z,w)). [para(7222(a,1),17286(a,1,1)),flip(a)]. given #15823 (H,wt=31): 17313 T(T(K(x,y) * z,K(x,y)) \ u,K(K(x,y) * z,w)) = (z * K(x,y)) \ T(u,K(w,z)). [para(17003(a,1),17287(a,2,2))]. given #15824 (H,wt=31): 17314 T(T(K(x,y) * z,K(x,y)) \ u,K(K(x,y) * z,w)) = (z * K(x,y)) \ T(u,K(z,w)). [para(7981(a,1),17313(a,2,2))]. given #15825 (H,wt=27): 17316 T((x * K(y,z)) \ u,K(K(y,z) * x,w)) = (x * K(y,z)) \ T(u,K(x,w)). [para(7222(a,1),17314(a,1,1,1))]. given #15826 (H,wt=23): 17317 (x * K(y,z)) \ T(u,K(x,w)) = T((x * K(y,z)) \ u,K(w,x)). [hyper(236,a,17003,a(flip),b,17316,a(flip))]. given #15827 (H,wt=23): 17319 (x * K(y,z)) \ T(u,K(x,w)) = T((x * K(y,z)) \ u,K(x,w)). [hyper(236,a,7981,a,b,17317,a)]. given #15828 (H,wt=35): 17312 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(11559(a,1),17162(a,1,1))]. given #15829 (H,wt=37): 16880 K(x * ((K(y,z) * u) / T(w,((z * y) \ u) * (y * z))),v5) = K(x * (w \ ((y * z) * ((z * y) \ u))),v5). [para(11069(a,1),16878(a,1,1,2,1))]. given #15830 (H,wt=37): 16928 K(T(x,y) / (x / y),((x / y) / T(x,y)) * T(z,T(x,y))) = K((x * y) / x,z * ((x / y) / T(x,y))). [para(3891(a,1),16926(a,2,1))]. given #15831 (H,wt=35): 17321 K(T(x,y) / (x / y),((x / y) / T(x,y)) * T(z,x)) = K((x * y) / x,z * ((x / y) / T(x,y))). [hyper(16727,a,16928,a)]. given #15832 (H,wt=29): 17323 K((x * y) / x,z * ((x / y) / T(x,y))) = K(y,((x / y) / T(x,y)) * T(z,x)). [hyper(236,a,8676,a(flip),b,17321,a(flip))]. given #15833 (H,wt=27): 17325 K((x * y) / x,z * ((x / y) / T(x,y))) = K(y,((x / y) / x) * T(z,x)). [hyper(236,a,8238,a(flip),b,17323,a)]. given #15834 (H,wt=25): 17326 K(x,T(y * ((z / x) / T(z,x)),z)) = K(x,((z / x) / z) * T(y,z)). [hyper(8410,a,17325,a)]. given #15835 (H,wt=23): 17327 K(x,T(y * ((z / x) / z),z)) = K(x,((z / x) / z) * T(y,z)). [hyper(236,a,8715,a(flip),b,17326,a(flip)),flip(a)]. given #15836 (H,wt=23): 17328 K(x,T(((y / x) / y) * z,y)) = K(x,((y / x) / y) * T(z,y)). [hyper(236,a,16579,a,b,17327,a(flip)),flip(a)]. given #15837 (H,wt=23): 17329 K(x,((y / x) / y) * T(T(z,y),y)) = K(x,z * ((y / x) / y)). [hyper(16930,a,17328,a),flip(a)]. given #15838 (H,wt=33): 17330 K(x,((y / x) / y) * T(T(T(z,(y / x) / y),y),y)) = K(x,z * ((z * ((y / x) / y)) / z)). [para(3875(a,1),17329(a,2,2))]. given #15839 (H,wt=27): 17331 K(x,T(T(y,z),z) * ((z / x) / z)) = K(x,y * ((y * ((z / x) / z)) / y)). [para(404(a,1),17330(a,1,2))]. given #15840 (H,wt=25): 17332 K(x,T(y * ((z / x) / z),y)) = K(x,T(T(y,z),z) * ((z / x) / z)). [hyper(236,a,13038,a(flip),b,17331,a),flip(a)]. given #15841 (H,wt=23): 17333 K(x,T(T(y,z),z) * ((z / x) / z)) = K(x,((z / x) / z) * y). [hyper(13066,a,17332,a),flip(a)]. given #15842 (H,wt=37): 17297 (x * K(y,z)) \ (T(x,K(u,w) * v5) * K(y,z)) != v6 | L(K(x,v5 * K(w,T(u * K(v7,v8),v9))),x,v10) = v6. [para(17251(a,1),7388(a,1))]. given #15843 (H,wt=38): 16025 K(x / (K(y,z) / R(y,u,u \ 1)),T(w,R(T(y,z),u,u \ 1))) = K((K(y,z) / R(y,u,u \ 1)) \ x,w). [para(15561(a,1),16012(a,1,2,2))]. given #15844 (H,wt=38): 16589 K(x,L(T(((y \ z) \ 1) \ y,z * (y / z)),z * (y / z),u)) = K(x,(u * ((y \ z) \ 1)) \ (u * T(y,z))). [hyper(236,a,11608,a,b,16588,a(flip)),flip(a)]. given #15845 (H,wt=36): 17335 K(x,L(T(((y \ z) \ 1) \ y,T(y,z)),z * (y / z),u)) = K(x,(u * ((y \ z) \ 1)) \ (u * T(y,z))). [para(13109(a,1),16589(a,1,2,1))]. given #15846 (H,wt=34): 17336 K(x,L(T(((y \ z) \ 1) \ y,y),z * (y / z),u)) = K(x,(u * ((y \ z) \ 1)) \ (u * T(y,z))). [hyper(16412,a,17335,a)]. given #15847 (H,wt=38): 16780 K(T(x \ y,K(x,z)) * (u * K(x,x \ z)),w) = K(((z / (z / x)) \ y) * u,L(w,u \ 1,K(x \ z,x))). [hyper(236,a,15652,a(flip),b,16779,a(flip))]. given #15848 (H,wt=38): 16861 ((x / T(y,z)) \ 1) * (u / ((x / T(y,z)) \ 1)) != w | ((x / y) \ K(y,z)) * (u / ((x / y) \ K(y,z))) = w. [para(15118(a,2),16396(a,1))]. given #15849 (H,wt=38): 17334 K(x / (K(y,z) / R(y,u,u \ 1)),T(w,L(T(y,z),u,u \ 1))) = K((K(y,z) / R(y,u,u \ 1)) \ x,w). [para(15341(a,1),16025(a,1,2))]. given #15850 (H,wt=33): 17337 K(x / (K(y,z) / R(y,u,u \ 1)),T(w,T(y,z))) = K((K(y,z) / R(y,u,u \ 1)) \ x,w). [para(14362(a,1),17334(a,1,2))]. given #15851 (H,wt=31): 17338 K(x / (K(y,z) / R(y,u,u \ 1)),T(w,y)) = K((K(y,z) / R(y,u,u \ 1)) \ x,w). [hyper(16239,a,17337,a)]. given #15852 (H,wt=31): 17341 K(x * (R(y,z,z \ 1) * K(u,y)),T(w,y)) = K((K(y,u) / R(y,z,z \ 1)) \ x,w). [hyper(236,a,14194,a(flip),b,17338,a(flip)),flip(a)]. given #15853 (H,wt=31): 17342 K(x * R(y * K(z,y),u,u \ 1),T(w,y)) = K((K(y,z) / R(y,u,u \ 1)) \ x,w). [para(14066(a,2),17341(a,1,1,2))]. given #15854 (H,wt=39): 16251 L(L(x * K(y,K(z,u)),K(y,K(z,u)),w),w * K(y,K(z,u)),v5) = (v5 * (w * K(y,K(z,u)))) \ (v5 * (w * x)). [para(16110(a,1),440(a,1,2,2,2)),flip(a)]. given #15855 (H,wt=39): 17320 K(x,T((y * K(z,u)) / T(w,K(y,v5)),T((y * K(z,u)) \ w,K(y,v5)))) = K(x,(y * K(z,u)) / T(w,K(y,v5))). [para(17319(a,1),5241(a,1,2,2))]. given #15856 (H,wt=39): 17343 K(x,T(T((y * K(z,u)) / w,K(y,v5)),T((y * K(z,u)) \ w,K(y,v5)))) = K(x,(y * K(z,u)) / T(w,K(y,v5))). [para(17282(a,1),17320(a,1,2,1))]. given #15857 (H,wt=35): 17344 K(x,T(T((y * K(z,u)) / w,K(y,v5)),(y * K(z,u)) \ w)) = K(x,(y * K(z,u)) / T(w,K(y,v5))). [hyper(16239,a,17343,a)]. given #15858 (H,wt=42): 16941 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(16940(a,1),13820(a,1,1))]. given #15859 (H,wt=38): 17346 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),16941(a,1,1,1))]. given #15860 (H,wt=34): 17347 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),17346(a,1,1,3)),flip(a)]. given #15861 (H,wt=32): 17348 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),y \ (y * z)). [para(6411(a,1),17347(a,2,2))]. given #15862 (H,wt=28): 17349 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),z). [para(13(a,1),17348(a,2,2,2))]. given #15863 (H,wt=26): 17350 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(x,z). [para(4988(a,1),17349(a,2,2))]. given #15864 (H,wt=23): 17351 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = K(z * x,z). [hyper(236,a,9053,a(flip),b,17350,a)]. given #15865 (H,wt=21): 17352 K(x * (1 / ((y * z) \ y)),y \ (y * z)) = K(z * x,z). [hyper(6478,a,17351,a)]. given #15866 (H,wt=17): 17353 K(x * (1 / ((y * z) \ y)),z) = K(z * x,z). [para(13(a,1),17352(a,1,2))]. given #15867 (H,wt=17): 17354 K(x * (((y * z) \ y) \ 1),z) = K(z * x,z). [hyper(5631,a,17353,a)]. given #15868 (H,wt=15): 17355 K(((x * y) \ x) \ z,y) = K(y * z,y). [hyper(9900,a,17354,a)]. given #15869 (H,wt=15): 17356 K(((x * y) \ x) \ (y \ z),y) = K(z,y). [para(14(a,1),17355(a,2,1))]. given #15870 (H,wt=17): 17357 K((1 / ((x * y) \ x)) \ z,y) = K(y \ z,y). [hyper(236,a,10393,a(flip),b,17356,a(flip))]. given #15871 (H,wt=17): 17358 K((((x * y) \ x) \ 1) \ z,y) = K(y \ z,y). [hyper(14302,a,17357,a)]. given #15872 (H,wt=15): 17360 K(x * ((y * z) \ y),z) = K(z \ x,z). [hyper(236,a,6771,a(flip),b,17358,a(flip)),flip(a)]. given #15873 (H,wt=15): 17362 K(x * ((y * z) \ z),y) = K(y \ x,y). [hyper(236,a,11065,a(flip),b,17360,a(flip)),flip(a)]. given #15874 (H,wt=19): 17363 K((x \ y) \ z,x \ y) = K(z * (y \ x),x \ y). [para(14(a,1),17360(a,1,1,2,1)),flip(a)]. given #15875 (H,wt=19): 17365 K((x \ y) \ z,x \ y) = K(z * (x / y),x \ y). [hyper(236,a,9660,a,b,17363,a)]. given #15876 (H,wt=21): 17366 x * K(x * (y / z),y \ z) = ((y \ z) \ x) * (y \ z). [para(17365(a,1),249(a,1,2))]. given #15877 (H,wt=23): 17367 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = ((y \ x) \ z) * (y \ x). [hyper(236,a,9669,a,b,17366,a(flip)),flip(a)]. given #15878 (H,wt=35): 17364 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(17362(a,1),13449(a,1,1,1,2))]. given #15879 (H,wt=33): 17369 T((x \ y) * x,(x * z) \ z) \ T(y,T((x * z) \ z,T(x,u))) = K(x,y * ((x * z) \ z)). [para(249(a,1),17364(a,1,1,1))]. given #15880 (H,wt=33): 17371 T((x \ y) * x,z \ (x \ z)) \ T(y,T((x * z) \ z,T(x,u))) = K(x,y * ((x * z) \ z)). [para(8607(a,1),17369(a,1,1))]. given #15881 (H,wt=31): 17372 T((x \ y) * x,z \ (x \ z)) \ T(y,T((x * z) \ z,x)) = K(x,y * ((x * z) \ z)). [para(118(a,1),17371(a,1,2,2,2))]. given #15882 (H,wt=31): 17373 T((x \ y) * x,z \ (x \ z)) \ T(y,T(z \ (x \ z),x)) = K(x,y * ((x * z) \ z)). [para(9510(a,1),17372(a,1,2))]. given #15883 (H,wt=29): 17374 T((x \ y) * x,z \ (x \ z)) \ T(y,z \ (x \ z)) = K(x,y * ((x * z) \ z)). [para(3033(a,1),17373(a,1,2))]. given #15884 (H,wt=21): 17375 K(x,T(x \ y,z \ (x \ z))) = K(x,y * ((x * z) \ z)). [hyper(11200,a,17374,a)]. given #15885 (H,wt=19): 17376 K(x,T(x \ y,z \ z)) = K(x,y * ((x * z) \ z)). [hyper(236,a,9574,a(flip),b,17375,a(flip)),flip(a)]. given #15886 (H,wt=15): 17377 K(x,y * ((x * z) \ z)) = K(x,x \ y). [para(148(a,1),17376(a,1,2)),flip(a)]. given #15887 (H,wt=15): 17378 K(x,y * ((z * x) \ z)) = K(x,x \ y). [hyper(236,a,11064,a,b,17377,a(flip)),flip(a)]. given #15888 (H,wt=17): 17380 x * K(y,x * ((z * y) \ z)) = y * (x / y). [para(17378(a,2),5079(a,1,2))]. given #15889 (H,wt=24): 17381 (1 / ((x * y) \ x)) * (z / (L(1 / y,y,x) \ 1)) = y * (z / y). [hyper(236,a,13783,a,b,17380,a(flip)),flip(a)]. given #15890 (H,wt=41): 17368 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(17367(a,1),16884(a,1,1,1,2,1,2))]. given #15891 (H,wt=43): 16567 K(x,(T(y,z / a(u \ 1,u,w)) * a(u \ 1,u,w)) \ z) = K(x,T((a(u \ 1,u,w) * y) \ z,a(u \ 1,u,w) \ z)). [para(14217(a,2),16565(a,2,2,1,1))]. given #15892 (H,wt=43): 17150 K(x,K(T(R(y,K(z,u),w),K(z,u)),L(v5,K(z,u) * w,v6))) = K(x,K(v5,(((K(z,u) * y) * w) * v6) / (v6 * (K(z,u) * w)))). [para(8001(a,1),17083(a,1,2,1))]. given #15893 (H,wt=39): 17384 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(R(w,K(z,u),v5),L(y,K(z,u) * v5,v6))). [hyper(16303,a,17150,a),flip(a)]. given #15894 (H,wt=39): 17386 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(w,L(L(y,K(z,u) * v5,v6),K(z,u),v5))). [para(15351(a,1),17384(a,2,2))]. given #15895 (H,wt=34): 17387 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(236,a,17210,a(flip),b,17386,a)]. given #15896 (H,wt=30): 17388 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * v5))) = K(x,K(w,L(y,K(z,u) * v5,v6))). [hyper(17172,a,17387,a)]. given #15897 (H,wt=25): 17391 K(x,K(y,L(K(z,u) * w,v5,v6))) = K(x,K(w,L(y,K(z,u) * v5,v6))). [hyper(236,a,17108,a(flip),b,17388,a(flip)),flip(a)]. given #15898 (H,wt=21): 17392 K(x,K(y,L(z,K(u,w) * v5,v6))) = K(x,K(y,L(z,v5,v6))). [hyper(236,a,17068,a(flip),b,17391,a(flip))]. given #15899 (H,wt=21): 17393 L(K(x,K(y,z)),K(u,w) * v5,v6) = K(y,K(z,L(x,v5,v6))). [hyper(11566,a,17392,a)]. given #15900 (H,wt=23): 17395 K(x,K(y,L(z,K(u,w) / v5,v6))) = K(x,K(y,L(z,1 / v5,v6))). [para(14500(a,1),17392(a,1,2,2,2))]. given #15901 (H,wt=27): 17396 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(236,a,14372,a,b,17393,a)]. given #15902 (H,wt=21): 17397 a(x,K(y,z) * u,K(w,K(v5,v6))) = a(x,u,K(w,K(v5,v6))). [hyper(14373,a,17396,a)]. given #15903 (H,wt=21): 17398 a(x,y * (z / y),K(u,K(w,v5))) = a(x,z,K(u,K(w,v5))). [para(4909(a,1),17397(a,1,2))]. given #15904 (H,wt=21): 17399 a(x,y / z,K(u,K(w,v5))) = a(x,z \ y,K(u,K(w,v5))). [para(4927(a,1),17397(a,1,2))]. given #15905 (H,wt=25): 17400 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K((1 / y) / w,K(z,u))). [hyper(236,a,12158,a(flip),b,17398,a(flip))]. given #15906 (H,wt=25): 17401 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K(z,K(u,(1 / y) / w))). [para(7923(a,2),17400(a,2,3))]. given #15907 (H,wt=23): 17402 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K(z,K(u,w * y))). [para(12155(a,1),17401(a,2,3))]. given #15908 (H,wt=25): 17403 a(x,1 / (y \ z),K(u,K(w,z))) = a(x,y,K(u,K(w,y * (y \ z)))). [para(14(a,1),17402(a,1,3,2,2))]. given #15909 (H,wt=25): 17404 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(u,K(w,y * (y \ z)))). [para(7923(a,1),17403(a,1,3))]. given #15910 (H,wt=21): 17405 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(u,K(w,z))). [para(14(a,1),17404(a,2,3,2,2))]. given #15911 (H,wt=21): 17406 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(z,K(u,w))). [para(7923(a,1),17405(a,2,3))]. given #15912 (H,wt=21): 17407 a(x,1 / y,K(z,K(u,w))) = a(x,z / y,K(z,K(u,w))). [para(65(a,1),17406(a,1,2,2))]. given #15913 (H,wt=21): 17408 a(x,1 / y,K(z,K(u,w))) = a(x,w / y,K(w,K(z,u))). [para(7923(a,2),17407(a,1,3))]. given #15914 (H,wt=21): 17409 a(x,1 / y,K(z,K(u,w))) = a(x,w / y,K(z,K(u,w))). [para(7923(a,2),17408(a,2,3))]. given #15915 (H,wt=21): 17410 a(x,1 / y,K(z,K(u,w))) = a(w,u / y,K(z,K(x,u))). [hyper(236,a,14330,a,b,17409,a(flip)),flip(a)]. given #15916 (H,wt=21): 17411 a(x,1 / y,K(z,K(u,w))) = a(w,u / y,K(z,K(u,x))). [para(7937(a,1),17410(a,2,3))]. given #15917 (H,wt=47): 15966 ((K(x,y) * z) * L(u,z,K(y,x))) \ (K(x,L(y,z,u)) * (z * u)) = (u * (K(x,L(y,z,u)) * z)) \ ((u * z) * K(x,L(T(y,z),z,u))). [para(40(a,2),15639(a,2,2,2,2))]. given #15918 (H,wt=44): 17412 ((K(x,y) * z) * L(u,z,K(y,x))) \ (K(x,L(y,z,u)) * (z * u)) = (u * (K(x,L(y,z,u)) * z)) \ (u * (z * K(x,T(y,z)))). [para(11487(a,1),15966(a,2,2))]. given #15919 (H,wt=42): 17413 ((K(x,y) * z) * L(u,z,K(y,x))) \ (K(x,L(y,z,u)) * (z * u)) = (u * (K(x,L(y,z,u)) * z)) \ (u * (K(x,y) * z)). [para(7281(a,1),17412(a,2,2,2))]. given #15920 (H,wt=39): 17414 ((K(x,y) * z) * L(u,z,K(y,x))) \ ((K(x,y) * z) * u) = (u * (K(x,L(y,z,u)) * z)) \ (u * (K(x,y) * z)). [para(15367(a,1),17413(a,1,2))]. given #15921 (H,wt=25): 17415 (x * (K(y,L(z,u,x)) * u)) \ (x * (K(y,z) * u)) = a(y,u,K(z,x)). [hyper(14769,a,17414,a),flip(a)]. given #15922 (H,wt=28): 17416 (x * (K(y,L(z,u,x)) * u)) \ (x * (K(y,z) * u)) != w | a(y,u,K(z,x)) = w. [para(17414(a,1),14769(a,1))]. given #15923 (H,wt=37): 17417 (x * (K((y * z) \ u,L(y,w,x)) * w)) \ (x * (K(z \ (y \ u),y) * w)) = a((y * z) \ u,w,K(y,x)). [para(8318(a,1),17415(a,1,2,2,1))]. given #15924 (H,wt=37): 17418 (x * (K(y \ (z \ u),L(z,w,x)) * w)) \ (x * (K(y \ (z \ u),z) * w)) = a((z * y) \ u,w,K(z,x)). [para(11624(a,1),17417(a,1,1,2,1))]. given #15925 (H,wt=21): 17419 a((x * y) \ z,u,K(x,w)) = a(y \ (x \ z),u,K(x,w)). [hyper(17416,a,17418,a),flip(a)]. given #15926 (H,wt=19): 17420 a((x * y) \ z,u,K(x,w)) = a(w,u,K(y \ z,x)). [hyper(14031,a,17419,a(flip)),flip(a)]. given #15927 (H,wt=48): 15372 K(x,L(R(x,y * z,a(x,y,z)) * (((x * y) * z) \ (((y * z) * a(x,y,z)) * u)),y * z,a(x,y,z))) = K(R(x,y * z,a(x,y,z)),u). [hyper(236,a,10853,a(flip),b,15351,a(flip))]. given #15928 (H,wt=48): 17383 (1 / (((x / (y * x)) * y) \ y)) * (z / (L(1 / R(y \ 1,y,x),R(y \ 1,y,x),y) \ 1)) = R(y \ 1,y,x) * (z / R(y \ 1,y,x)). [para(635(a,2),17381(a,1,1,2,1))]. given #15929 (H,wt=46): 17421 (1 / ((x / (y * x)) \ 1)) * (z / (L(1 / R(y \ 1,y,x),R(y \ 1,y,x),y) \ 1)) = R(y \ 1,y,x) * (z / R(y \ 1,y,x)). [para(3107(a,1),17383(a,1,1,2))]. given #15930 (H,wt=42): 17422 (x / (y * x)) * (z / (L(1 / R(y \ 1,y,x),R(y \ 1,y,x),y) \ 1)) = R(y \ 1,y,x) * (z / R(y \ 1,y,x)). [hyper(290,a,17421,a)]. given #15931 (H,wt=42): 17424 (x / (y * x)) * (z / (L(R(1 / y,y,x) \ 1,R(y \ 1,y,x),y) \ 1)) = R(y \ 1,y,x) * (z / R(y \ 1,y,x)). [para(3508(a,1),17422(a,1,2,2,1,1))]. given #15932 (H,wt=33): 17425 R(x \ 1,x,y) * (z / R(x \ 1,x,y)) = (y / (x * y)) * (z / ((1 / (y / (x * y))) \ 1)). [para(3530(a,1),17424(a,1,2,2,1)),flip(a)]. given #15933 (H,wt=29): 17426 R(x \ 1,x,y) * (z / R(x \ 1,x,y)) = (y / (x * y)) * (z / (y / (x * y))). [para(65(a,1),17425(a,2,2,2))]. given #15934 (H,wt=71): 14495 ((x * K(x * (y \ z),z \ y)) \ u) \ (K(z \ y,(y \ z) * x) * (x \ T(u,w / (x * K(x * (y \ z),z \ y))))) = T(K(u,(x * K(x * (y \ z),z \ y)) \ w),(x * K(x * (y \ z),z \ y)) \ u). [hyper(394,a,13779,a(flip),b,14443,a),flip(a)]. given #15935 (H,wt=71): 17428 ((x * K(x * (y \ z),z \ y)) \ u) \ (K(z \ y,(y \ z) * x) * (x \ T(u,w / (x * K(x * (y \ z),z \ y))))) = T(K(u,K(z \ y,(y \ z) * x) * (x \ w)),(x * K(x * (y \ z),z \ y)) \ u). [para(13779(a,1),14495(a,2,1,2))]. given #15936 (H,wt=513): 594 T(x / y,(z / y) \ z) = y \ x. [hyper(168,a,267,a,b,265,a)]. given #15937 (H,wt=15): 17429 K(x,(y / z) / y) = K(x,y \ (z \ y)). [para(594(a,1),8261(a,1,2,2)),flip(a)]. given #15938 (H,wt=15): 17431 K(x,(y / z) / y) = K(x,y / (y * z)). [hyper(236,a,8563,a,b,17429,a)]. given #15939 (H,wt=19): 17430 (x / (x / y)) * ((x / y) / z) = y * ((y \ x) / z). [para(594(a,1),14588(a,1,2,1)),flip(a)]. given #15940 (H,wt=19): 17434 (x / (x / y)) \ (y * ((y \ x) / z)) = (x / y) / z. [hyper(80,a,17430,a)]. given #15941 (H,wt=17): 17436 K(x,x \ y) * ((x \ y) / z) = (y / x) / z. [hyper(5883,a,17434,a)]. given #15942 (H,wt=17): 17438 K(x,T(y \ z,y) / u) = K(x,(z / y) / u). [para(17436(a,1),15684(a,1,2)),flip(a)]. given #15943 (H,wt=23): 17437 K(x,x \ (x * y)) * ((x \ (x * y)) / z) = (y * K(x,y)) / z. [para(4854(a,1),17436(a,2,1))]. given #15944 (H,wt=19): 17439 K(x,y) * ((x \ (x * y)) / z) = (y * K(x,y)) / z. [para(13(a,1),17437(a,1,1,2))]. given #15945 (H,wt=15): 17440 (x * K(y,x)) / z = K(y,x) * (x / z). [para(13(a,1),17439(a,1,2,1)),flip(a)]. given #15946 (H,wt=25): 17433 K(x,y) * a(y,z,K(x,u / (u * w))) = L(K(x,y),z,(u / w) / u). [para(17431(a,1),14015(a,1,2,3))]. given #15947 (H,wt=24): 17441 L(K(x,y),z,(u / w) / u) != v5 | L(K(x,y),z,u / (u * w)) = v5. [para(17433(a,1),14337(a,1))]. given #15948 (H,wt=22): 17442 L(K(x,y / x),y,z / (z * x)) = K(x,y * ((z / x) / z)). [hyper(17441,a,16563,a)]. given #15949 (H,wt=15): 17443 K(x,y * ((z / x) / z)) = K(x,y / x). [hyper(16554,a,17442,a),flip(a)]. given #15950 (H,wt=18): 17444 K(x,y * ((z / x) / z)) != u | K(x,y / x) = u. [para(17442(a,1),16554(a,1))]. given #15951 (H,wt=19): 17446 K(x,T(T(y,z),z) / x) = K(x,((z / x) / z) * y). [hyper(236,a,17333,a(flip),b,17443,a(flip))]. given #15952 (H,wt=19): 17447 K(x,T(T(y,z) / x,z)) = K(x,((z / x) / z) * y). [hyper(16818,a,17446,a)]. given #15953 (H,wt=19): 17449 K(x,T(T(y / x,z),z)) = K(x,((z / x) / z) * y). [hyper(236,a,16856,a(flip),b,17447,a(flip)),flip(a)]. given #15954 (H,wt=15): 17450 K(x,((y / x) / y) * z) = K(x,z / x). [hyper(8174,a,17449,a),flip(a)]. given #15955 (H,wt=19): 17452 K(x / y,z / (x / y)) = K(x / y,(y / x) * z). [hyper(236,a,10461,a(flip),b,17450,a(flip))]. given #15956 (H,wt=25): 17454 K(x,K(y,z)) * K(z / x,(x / z) * y) = K(x \ z,y / (z / x)). [para(17452(a,1),17222(a,1,2))]. given #15957 (H,wt=19): 17455 K(x \ y,z / (y / x)) = K(x \ y,z * (x / y)). [hyper(236,a,17224,a(flip),b,17454,a(flip))]. given #15958 (H,wt=21): 17456 x * K(y \ z,x * (y / z)) = (y \ z) * (x / (y \ z)). [para(17455(a,1),8595(a,1,2))]. given #15959 (H,wt=23): 17457 (1 / (x \ y)) * (z / (1 / (x \ y))) = (y \ x) * (z / (y \ x)). [hyper(236,a,9668,a,b,17456,a(flip)),flip(a)]. given #15960 (H,wt=37): 17458 K(((x \ y) * ((z * (((x \ y) \ u) * (x \ y))) / (x \ y))) \ u,w) = K(1 / z,T(w,u / (1 / (y \ x)))). [para(17457(a,1),17368(a,1,1,1))]. given #15961 (H,wt=25): 17459 K(1 / x,T(y,z / (1 / (u \ w)))) = K(1 / x,T(y,z / (w \ u))). [hyper(16886,a,17458,a),flip(a)]. given #15962 (H,wt=25): 17460 K(1 / x,T(y,z / (1 / (u \ w)))) = K(1 / x,T(y,z / (u / w))). [hyper(236,a,16973,a,b,17459,a)]. given #15963 (H,wt=25): 17461 K(1 / x,T(y,z / (1 / (u / w)))) = K(1 / x,T(y,z / (w / u))). [hyper(236,a,17217,a,b,17460,a(flip)),flip(a)]. given #15964 (H,wt=23): 17462 K(1 / x,T(y,z / (u / w))) = K(1 / x,T(y,(w / u) * z)). [hyper(16372,a,17461,a),flip(a)]. given #15965 (H,wt=27): 17463 T(1 / x,T(y,z / (u / T(w,v5)))) = K(1 / x,T(y,(w / u) * z)) / x. [para(17462(a,1),17218(a,2,1))]. given #15966 (H,wt=25): 17464 T(1 / x,T(y,z / (u / T(w,v5)))) = T(1 / x,T(y,(w / u) * z)). [hyper(236,a,5064,a(flip),b,17463,a)]. given #15967 (H,wt=35): 17465 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(17464(a,1),2716(a,1,1))]. given #15968 (H,wt=27): 17466 T(L(x,y,z),T(u,w / (v5 / T(v6,v7)))) = T(L(x,y,z),T(u,(v6 / v5) * w)). [hyper(236,a,10817,a(flip),b,17465,a(flip))]. given #15969 (H,wt=38): 17468 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(17466(a,1),15267(a,1,1,1)),flip(a)]. given #15970 (H,wt=27): 17469 K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = K(T(x,(u / z) * y),L(v5,v6,v7)). [hyper(236,a,15267,a(flip),b,17468,a)]. given #15971 (H,wt=27): 17470 K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = K(x,T(L(v5,v6,v7),(u / z) * y)). [hyper(236,a,7260,a(flip),b,17469,a)]. given #15972 (H,wt=27): 17471 K(x,T(L(y,z,u),w / (v5 / T(v6,v7)))) = K(x,T(L(y,z,u),(v6 / v5) * w)). [hyper(7823,a,17470,a)]. given #15973 (H,wt=25): 17472 K(x,T(L(y,z,u),w / (v5 / v6))) = K(x,T(L(y,z,u),(v6 / v5) * w)). [hyper(236,a,17215,a(flip),b,17471,a(flip)),flip(a)]. given #15974 (H,wt=26): 17473 K(x,T(L(y,z,T(x,u)),(T(w,v5) / v6) * v7)) = K(x,T(y,v7 / (v6 / w))). [hyper(236,a,17216,a(flip),b,17472,a(flip))]. given #15975 (H,wt=21): 17474 K(x,T(y,(T(z,u) / w) * v5)) = K(x,T(y,v5 / (w / z))). [hyper(236,a,9185,a(flip),b,17473,a(flip)),flip(a)]. given #15976 (H,wt=19): 17475 K(x,T(y,z / (u / w))) = K(x,T(y,(w / u) * z)). [para(118(a,1),17474(a,1,2,2,1,1)),flip(a)]. given #15977 (H,wt=19): 17477 K(x,T(y,z / (u \ w))) = K(x,T(y,(u / w) * z)). [hyper(236,a,16973,a(flip),b,17475,a(flip)),flip(a)]. given #15978 (H,wt=23): 17478 K(x,y) * K(x,K(y,(z / u) * w)) = K(x,T(y,w / (z \ u))). [hyper(236,a,7883,a,b,17477,a),flip(a)]. given #15979 (H,wt=19): 17479 K(x,K(y,z / (u / w))) = K(x,K(y,(w / u) * z)). [hyper(17,a,16996,a,b,17478,a),flip(a)]. given #15980 (H,wt=19): 17480 K(x,K(y,(z / u) / w)) = K(x,K(y,(u / z) * w)). [hyper(9361,a,17479,a)]. given #15981 (H,wt=19): 17481 K(x,K(y,((z / u) / z) * w)) = K(x,K(y,w / u)). [hyper(236,a,17082,a(flip),b,17479,a(flip))]. given #15982 (H,wt=19): 17482 K(x,K(y,(z / (z * u)) * w)) = K(x,K(y,w / u)). [hyper(236,a,17038,a(flip),b,17479,a(flip))]. given #15983 (H,wt=19): 17484 K(x,K(y,z * (u / (u * w)))) = K(x,K(y,z / w)). [hyper(16073,a,17482,a)]. given #15984 (H,wt=19): 17485 K(x,K(y,z / (u \ w))) = K(x,K(y,z * (u / w))). [para(14(a,1),17484(a,1,2,2,2,2)),flip(a)]. given #15985 (H,wt=25): 17483 L(K(x,K(y,(z / u) * w)),v5,v6) = K(y,K(w / (z \ u),L(x,v5,v6))). [para(17479(a,1),17095(a,1,1))]. given #15986 (H,wt=25): 17486 K(x,K(y / (z \ u),L(w,v5,v6))) = K(x,K((z / u) * y,L(w,v5,v6))). [hyper(11560,a,17483,a),flip(a)]. given #15987 (H,wt=25): 17488 K(x,K(((y / z) / y) * u,L(w,v5,v6))) = K(x,K(u / z,L(w,v5,v6))). [para(65(a,1),17486(a,1,2,1,2)),flip(a)]. given #15988 (H,wt=25): 17489 K(x,K(y * ((z / u) / z),L(w,v5,v6))) = K(x,K(y / u,L(w,v5,v6))). [hyper(16304,a,17488,a)]. given #15989 (H,wt=26): 17487 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u * y) / (y * (y \ z)))). [hyper(236,a,17149,a(flip),b,17486,a(flip))]. given #15990 (H,wt=22): 17490 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u * y) / z)). [para(14(a,1),17487(a,2,2,2,2))]. given #15991 (H,wt=22): 17491 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(y * u) / z)). [hyper(236,a,17051,a,b,17490,a)]. given #15992 (H,wt=24): 17494 K(x,K((y / z) / u,L(w,z,y))) = K(x,K(w,(y * (1 / u)) / z)). [para(14135(a,1),17491(a,1,2))]. given #15993 (H,wt=25): 17492 K(x,K((y / z) * u,L(w,z,y))) != v5 | K(x,K(w,(y * u) / z)) = v5. [para(17490(a,2),17090(a,1))]. given #15994 (H,wt=25): 17495 K(x,K((y / z) * u,L(w,z,y))) != v5 | K(x,K(w,(u * y) / z)) = v5. [para(17491(a,2),17090(a,1))]. given #15995 (H,wt=26): 17493 K(x,K((y / z) / u,L(w,z,y))) = K(x,K(w,(y * ((v5 / u) / v5)) / z)). [hyper(236,a,17489,a(flip),b,17491,a(flip)),flip(a)]. given #15996 (H,wt=25): 17497 K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K(y,(z * (1 / w)) / v5)). [hyper(236,a,17494,a(flip),b,17493,a(flip))]. given #15997 (H,wt=28): 17498 K(x,K((y / z) / (1 / u),L(w,z,y))) = K(x,K(w,(T(y,u) / (1 / u)) / z)). [para(3793(a,2),17493(a,2,2,2,1))]. given #15998 (H,wt=26): 17499 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(T(y,u) / (1 / u)) / z)). [para(14138(a,1),17498(a,1,2))]. given #15999 (H,wt=23): 17500 K(x,K(y,(T(z,u) / (1 / u)) / w)) = K(x,K(y,(z * u) / w)). [hyper(17492,a,17499,a),flip(a)]. given #16000 (H,wt=23): 17501 K(x,K(y,((1 / z) / T(u,z)) * w)) = K(x,K(y,(u * z) / w)). [hyper(236,a,17480,a(flip),b,17500,a(flip)),flip(a)]. given #16001 (H,wt=21): 17502 K(x,K(y,z * ((1 / u) / w))) = K(x,K(y,(w * u) / z)). [hyper(17153,a,17501,a)]. given #16002 (H,wt=21): 17503 K(x,K(y,((z \ 1) / u) * w)) = K(x,K(y,(u * z) / w)). [hyper(236,a,17168,a,b,17502,a(flip)),flip(a)]. given #16003 (H,wt=21): 17504 K(x,K(y,(z * (1 / u)) / w)) = K(x,K(y,(u / z) * w)). [hyper(236,a,17166,a(flip),b,17502,a(flip))]. given #16004 (H,wt=21): 17506 K(x,K(y,z / ((1 / u) * w))) = K(x,K(y,(u / w) * z)). [hyper(17110,a,17504,a)]. given #16005 (H,wt=23): 17507 K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K(y,(w / z) * v5)). [hyper(236,a,17497,a,b,17504,a(flip)),flip(a)]. given #16006 (H,wt=23): 17512 K(x,K(y,z / (((u / w) / u) * v5))) = K(x,K(y,(w / v5) * z)). [hyper(17110,a,17507,a)]. given #16007 (H,wt=24): 17509 K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,(u / z) * y)). [hyper(236,a,15462,a,b,17506,a(flip)),flip(a)]. given #16008 (H,wt=22): 17513 K(x,K((y / z) * u,L(w,y,z))) = K(x,K(w,(u / z) * y)). [hyper(236,a,15054,a(flip),b,17509,a(flip)),flip(a)]. given #16009 (H,wt=25): 17505 K(x,K(y,((z / (z / (u \ 1))) / w) * v5)) = K(x,K(y,(w * u) / v5)). [hyper(17169,a,17503,a)]. given #16010 (H,wt=26): 17508 K(x,K(y,(z / u) * (u * ((1 / z) * w)))) = K(x,K(y,L(w,1 / z,u))). [hyper(236,a,16247,a(flip),b,17504,a(flip))]. given #16011 (H,wt=29): 17496 K(x,K((y / z) / u,L(w,z,y))) != v5 | K(x,K(w,(y * ((v6 / u) / v6)) / z)) = v5. [para(17489(a,1),17492(a,1))]. given #16012 (H,wt=33): 17510 K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) = K(x,K(y,v5 / (((z / (z / u)) / z) * w))). [para(15094(a,1),17506(a,1,2,2,2,1)),flip(a)]. given #16013 (H,wt=29): 17514 K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) = K(x,K(y,((z / u) / w) * v5)). [hyper(236,a,17512,a(flip),b,17510,a)]. given #16014 (H,wt=23): 17516 K(x,K(y,(z * (u / w)) / v5)) = K(x,K(y,((w / u) / z) * v5)). [hyper(236,a,17505,a(flip),b,17514,a(flip)),flip(a)]. given #16015 (H,wt=23): 17517 K(x,K(y,((z / u) * w) / v5)) = K(x,K(y,((u / z) / w) * v5)). [hyper(17090,a,17516,a)]. given #16016 (H,wt=23): 17519 K(x,K(y,z / ((u \ w) * v5))) = K(x,K(y,((u / w) / v5) * z)). [hyper(236,a,17144,a(flip),b,17516,a(flip)),flip(a)]. given #16017 (H,wt=23): 17520 K(x,K(y,((z \ u) * w) / v5)) = K(x,K(y,((z / u) / w) * v5)). [hyper(9361,a,17519,a)]. given #16018 (H,wt=26): 17522 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,z,K(x,K(w,u / z))). [hyper(236,a,17290,a(flip),b,17520,a(flip))]. given #16019 (H,wt=26): 17523 K(x,K(y,(z * u) * ((w / u) / (z * w)))) = a(x,w,K(y,K(z,u / w))). [hyper(16072,a,17522,a)]. given #16020 (H,wt=26): 17524 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(x,z,K(y,K(w,u / z))). [hyper(7921,a,17522,a)]. given #16021 (H,wt=27): 17521 K(x,K(y,((z / u) / T(w,z \ u)) * v5)) = K(x,K(y,v5 / (w * (z \ u)))). [para(119(a,1),17519(a,1,2,2,2)),flip(a)]. given #16022 (H,wt=23): 17528 K(x,K(y,z / (u * (w \ v5)))) = K(x,K(y,z * ((w / v5) / u))). [hyper(17153,a,17521,a),flip(a)]. given #16023 (H,wt=23): 17529 K(x,K(y,z / (u * (w / v5)))) = K(x,K(y,z * ((v5 / w) / u))). [hyper(17201,a,17528,a)]. given #16024 (H,wt=22): 17530 K(x,K(y,(z * u) * ((w / u) / z))) = K(x,K(w,L(y,u,z))). [hyper(236,a,16100,a(flip),b,17529,a(flip))]. given #16025 (H,wt=28): 17527 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(x,u,K(y,K(z / u,w / u))). [para(16(a,1),17523(a,1,2,2,2,2))]. given #16026 (H,wt=29): 17526 a(x,y,K(z,K(u,w / y))) != v5 | K(x,K(z,((y / w) / (u * y)) * (u * w))) = v5. [para(17522(a,1),7921(a,1))]. given #16027 (H,wt=30): 17525 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,(u / z) * z,K(x,K(w,u / z))). [hyper(236,a,14583,a,b,17522,a)]. given #16028 (H,wt=26): 17531 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,u,K(x,K(w,u / z))). [para(16(a,1),17525(a,2,2))]. given #16029 (H,wt=33): 17511 K(x,K(y,((1 / z) * u) / (((1 / z) * u) * w))) = K(x,K(y,(z / u) * (((1 / z) * u) / w))). [para(17431(a,1),17506(a,1,2))]. given #16030 (H,wt=35): 17532 K(x,K(y,(z / u) * (((1 / z) * u) / (((1 / z) * u) * w)))) = K(x,K(y,1 / (w * ((1 / z) * u)))). [para(16460(a,1),17511(a,1,2)),flip(a)]. given #16031 (H,wt=33): 17533 K(x,K(y,(z / u) * (((1 / z) * u) / (((1 / z) * u) * w)))) = K(x,K(y,w * ((1 / z) * u))). [hyper(236,a,9256,a(flip),b,17532,a)]. given #16032 (H,wt=21): 17534 K(x,K(y,z * ((1 / u) * w))) = K(x,K(y,(u / w) / z)). [hyper(236,a,17484,a(flip),b,17533,a(flip))]. given #16033 (H,wt=21): 17536 K(x,K(y,z * ((1 / u) * w))) = K(x,K(y,(w / u) * z)). [hyper(236,a,17480,a(flip),b,17534,a)]. given #16034 (H,wt=21): 17537 K(x,K(y,z * (u * (1 / w)))) = K(x,K(y,(u / w) * z)). [hyper(17092,a,17536,a)]. given #16035 (H,wt=24): 17538 K(x,K(y,z * L(u,w,1 / w))) = K(x,K(y,((w * u) / w) * z)). [para(430(a,1),17536(a,1,2,2,2))]. given #16036 (H,wt=20): 17539 K(x,K(y,z * L(u,w,1 / w))) = K(x,K(y,u * z)). [hyper(236,a,17047,a(flip),b,17538,a)]. given #16037 (H,wt=28): 17541 K(x,K(y,R(z / u,w,v5) * (w * v5))) = K(x,K(y,(((1 / u) * z) * w) * v5)). [hyper(236,a,17295,a(flip),b,17539,a(flip))]. given #16038 (H,wt=25): 17543 K(x,K(y,(((1 / z) * u) * w) * v5)) = K(x,K(y,((u / z) * w) * v5)). [para(113(a,1),17541(a,1,2,2)),flip(a)]. given #16039 (H,wt=25): 17544 K(x,K(y,(z * ((1 / u) * w)) * v5)) = K(x,K(y,((w / u) * z) * v5)). [hyper(17089,a,17543,a)]. given #16040 (H,wt=27): 17545 K(x,K(y,((z / u) * w) * T(v5,v6))) = K(x,K(y,v5 * (w * ((1 / u) * z)))). [hyper(17076,a,17544,a),flip(a)]. given #16041 (H,wt=25): 17547 K(x,K(y,z * (u * ((1 / w) * v5)))) = K(x,K(y,z * ((v5 / w) * u))). [hyper(17076,a,17545,a),flip(a)]. given #16042 (H,wt=24): 17550 K(x,K(y,(z / u) * ((w / z) * u))) = K(x,K(y,L(w,1 / z,u))). [hyper(236,a,17508,a(flip),b,17547,a(flip))]. given #16043 (H,wt=25): 17548 K(x,K(y,z * (((u / (1 / w)) / w) * v5))) = K(x,K(y,z * (v5 * u))). [hyper(17151,a,17547,a),flip(a)]. given #16044 (H,wt=25): 17549 K(x,K(y,z * (((1 / u) * w) * v5))) = K(x,K(y,z * ((w / u) * v5))). [hyper(17092,a,17547,a)]. given #16045 (H,wt=27): 17546 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) * (1 / v5))). [hyper(16415,a,17544,a)]. given #16046 (H,wt=25): 17553 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) / v5)). [hyper(236,a,12154,a(flip),b,17546,a)]. given #16047 (H,wt=25): 17554 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((u / w) / z) * v5)). [hyper(236,a,17517,a(flip),b,17553,a)]. given #16048 (H,wt=25): 17555 K(x,K(y,z / (u * ((1 / w) * v5)))) = K(x,K(y,((w / v5) / u) * z)). [hyper(9361,a,17554,a)]. given #16049 (H,wt=27): 17552 K(x,K(y,z * (((u / (1 / w)) / w) * T(v5,v6)))) = K(x,K(y,(v5 * u) * z)). [hyper(236,a,17130,a(flip),b,17548,a)]. given #16050 (H,wt=25): 17557 K(x,K(y,z * ((u / (1 / w)) * K(w,v5)))) = K(x,K(y,(w * u) * z)). [para(6200(a,1),17552(a,1,2,2,2))]. given #16051 (H,wt=21): 17558 K(x,K(y,z * (u / (1 / w)))) = K(x,K(y,(w * u) * z)). [hyper(17093,a,17557,a)]. given #16052 (H,wt=28): 17551 K(x,K(y,((z / u) / w) * (u / (1 / w)))) = K(x,K(y,L(z,1 / u,1 / w))). [hyper(236,a,17537,a(flip),b,17550,a(flip)),flip(a)]. given #16053 (H,wt=26): 17560 K(x,K(y,(z * u) * ((w / u) / z))) = K(x,K(y,L(w,1 / u,1 / z))). [hyper(236,a,17558,a(flip),b,17551,a(flip)),flip(a)]. given #16054 (H,wt=21): 17561 K(x,K(y,L(z,1 / u,1 / w))) = K(x,K(z,L(y,u,w))). [hyper(236,a,17530,a(flip),b,17560,a(flip))]. given #16055 (H,wt=19): 17562 K(x,K(y,L(z,1 / u,w))) = K(x,K(z,L(y,u,w))). [hyper(236,a,14965,a(flip),b,17561,a(flip)),flip(a)]. given #16056 (H,wt=21): 17563 K(x,K(y,L(z,K(u,w) / v5,v6))) = K(x,K(z,L(y,v5,v6))). [hyper(236,a,17395,a,b,17562,a(flip)),flip(a)]. given #16057 (H,wt=28): 17556 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = K(x,K(y,a(w,1 / z,u))). [para(13972(a,1),17555(a,1,2)),flip(a)]. given #16058 (H,wt=28): 17565 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(x,1 / z,K(y,K(w,u))). [hyper(236,a,14087,a,b,17556,a)]. given #16059 (H,wt=31): 17564 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(17563(a,1),17312(a,1,1)),flip(a)]. given #16060 (H,wt=31): 17566 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(v5,K(w,L(u,z,x))) * K(v5,K(w,u)). [para(7936(a,1),17564(a,2,2))]. given #16061 (H,wt=29): 17568 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(236,a,12459,a(flip),b,17566,a)]. given #16062 (H,wt=27): 17569 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(a(x,z * u,K(u,w)),v5). [para(10201(a,1),17568(a,2,1))]. given #16063 (H,wt=25): 17570 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = a(u,z,K(v5,K(w,x))). [hyper(236,a,14891,a(flip),b,17569,a)]. given #16064 (H,wt=25): 17571 a(x,(K(y,z) / z) * K(u,w),K(K(u,w),v5)) = a(w,z,K(v5,K(u,x))). [para(17161(a,1),17570(a,1,2))]. given #16065 (H,wt=25): 17572 a(x,(K(y,z) / z) * K(u,w),K(v5,K(u,w))) = a(w,z,K(v5,K(u,x))). [para(7936(a,1),17571(a,1,3))]. given #16066 (H,wt=21): 17573 a(x,K(y,z) / z,K(u,K(w,v5))) = a(v5,z,K(u,K(w,x))). [hyper(11611,a,17572,a)]. given #16067 (H,wt=19): 17574 a(x,1 / y,K(z,K(u,w))) = a(w,y,K(z,K(u,x))). [para(127(a,1),17573(a,1,2,1))]. given #16068 (H,wt=19): 17576 a(x,y / z,K(u,K(y,w))) = a(x,z,K(u,K(y,w))). [hyper(236,a,17411,a(flip),b,17574,a(flip)),flip(a)]. given #16069 (H,wt=19): 17577 a(x,y / z,K(u,K(y,w))) = a(y,z,K(u,K(x,w))). [hyper(236,a,14329,a,b,17576,a)]. given #16070 (H,wt=26): 17575 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(y,K(w,x))). [hyper(236,a,17565,a,b,17574,a(flip)),flip(a)]. given #16071 (H,wt=26): 17578 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(x,K(y,w))). [para(7923(a,1),17575(a,2,3))]. given #16072 (H,wt=46): 17579 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(5660(a,1),17578(a,1,2,2,2,1))]. given #16073 (H,wt=42): 17580 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(6927(a,1),17579(a,1,2))]. given #16074 (H,wt=40): 17581 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(14192(a,1),17580(a,1,2))]. given #16075 (H,wt=40): 17582 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(6267(a,1),17581(a,1,2,2,1))]. given #16076 (H,wt=38): 17583 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(236,a,17549,a(flip),b,17582,a(flip)),flip(a)]. given #16077 (H,wt=32): 17584 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,1 / (K(z,1 / u) / z)))). [hyper(17104,a,17583,a)]. given #16078 (H,wt=30): 17586 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,z * K(1 / u,z)))). [para(7584(a,1),17584(a,2,3,2))]. given #16079 (H,wt=24): 17587 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,z))). [para(17024(a,1),17586(a,2,3))]. given #16080 (H,wt=21): 17588 a(x,y,K(z,K(u / y,w / y))) = a(w,y,K(x,K(z,u))). [hyper(236,a,17527,a(flip),b,17587,a(flip)),flip(a)]. given #16081 (H,wt=25): 17590 a(x,y \ z,K(u,K(y,w / (y \ z)))) = a(w,y \ z,K(x,K(u,z))). [para(62(a,1),17588(a,1,3,2,1))]. given #16082 (H,wt=25): 17591 a(x,y \ z,K(u,K(y,w * (y / z)))) = a(w,y \ z,K(x,K(u,z))). [para(17485(a,1),17590(a,1,3))]. given #16083 (H,wt=25): 17592 a(x,y \ z,K(y,K(u,w * (y / z)))) = a(w,y \ z,K(x,K(u,z))). [para(7919(a,1),17591(a,1,3))]. given #16084 (H,wt=23): 17593 a(x,y \ z,K(y,K(u,w / z))) = a(w,y \ z,K(x,K(u,z))). [para(17187(a,1),17592(a,1,3))]. given #16085 (H,wt=21): 17594 a(x,y \ z,K(u,K(w,z))) = a(u,z,K(y,K(w,x / z))). [hyper(14416,a,17593,a),flip(a)]. given #16086 (H,wt=21): 17595 a(x,y \ z,K(u,K(z,w))) = a(u,z,K(y,K(w,x / z))). [para(7937(a,1),17594(a,1,3))]. given #16087 (H,wt=21): 17596 a(x,y / z,K(u,K(y,w))) = a(u,y,K(z,K(w,x / y))). [hyper(236,a,17399,a,b,17595,a(flip)),flip(a)]. given #16088 (H,wt=19): 17597 a(x,y,K(z,K(u,w / y))) = a(y,z,K(x,K(w,u))). [hyper(236,a,17577,a(flip),b,17596,a(flip))]. given #16089 (H,wt=19): 17598 a(x,y,K(z,K(u,w / y))) = a(y,z,K(w,K(x,u))). [para(7919(a,1),17597(a,2,3))]. given #16090 (H,wt=24): 17599 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(z,y,K(u,K(x,w))). [hyper(17526,a,17598,a)]. given #16091 (H,wt=24): 17600 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(z,y,K(x,K(w,u))). [para(7923(a,2),17599(a,2,3))]. given #16092 (H,wt=19): 17601 a(x,y,K(z,K(u,y / w))) = a(w,x,K(z,K(u,y))). [hyper(236,a,17531,a(flip),b,17600,a(flip)),flip(a)]. given #16093 (H,wt=19): 17602 a(x,y,K(z,K(u,w / y))) = a(w,x,K(z,K(u,y))). [para(9257(a,1),17601(a,1,3))]. given #16094 (H,wt=19): 17603 a(x,y,K(z,K(u,w / y))) = a(w,x,K(z,K(y,u))). [para(7937(a,1),17602(a,2,3))]. given #16095 (H,wt=17): 17604 a(x,y,K(z,K(u,w))) = a(u,z,K(x,K(y,w))). [hyper(236,a,17598,a(flip),b,17603,a(flip))]. given #16096 (H,wt=23): 17605 a(x,y,K(z,K(u,w))) * K(z,K(x,w)) = L(K(z,K(x,w)),u,y). [para(17604(a,1),14342(a,1,1))]. given #16097 (H,wt=23): 17606 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = L(K(z,K(x,w)),u,y). [para(7919(a,1),17605(a,1,2))]. given #16098 (H,wt=17): 17607 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,w,u))). [hyper(14961,a,17606,a),flip(a)]. given #16099 (H,wt=17): 17608 K(x,K(y,L(z,u,w))) = K(x,K(y,L(z,w,u))). [hyper(11615,a,17607,a)]. given #16100 (H,wt=22): 17609 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u / z) * y)). [hyper(236,a,17513,a(flip),b,17608,a)]. given #16101 (H,wt=19): 17612 K(x,K(y,(z * u) / w)) = K(x,K(y,(z / w) * u)). [hyper(17495,a,17609,a)]. given #16102 (H,wt=26): 17611 K(x,K(y,L(L(1 / z,z,u),w,u * z))) = K(x,K(y,1 / L(z,u,w))). [para(6561(a,1),17608(a,1,2)),flip(a)]. given #16103 (H,wt=24): 17613 K(x,K(y,L(L(1 / z,z,u),w,u * z))) = K(x,K(y,L(z,u,w))). [hyper(236,a,9256,a(flip),b,17611,a)]. given #16104 (H,wt=27): 17614 K(x,K(y,L(L(1 / z,z,u),w,u * z))) != v5 | K(x,K(y,L(z,u,w))) = v5. [para(17611(a,2),9272(a,1))]. given #16105 (H,wt=35): 17610 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(727(a,1),17608(a,1,2,2)),flip(a)]. given #16106 (H,wt=35): 17615 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(236,a,16042,a,b,17610,a)]. given #16107 (H,wt=35): 17616 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(236,a,17612,a(flip),b,17615,a)]. given #16108 (H,wt=31): 17617 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,(w * (u * z)) / (w * u))). [hyper(236,a,17481,a(flip),b,17616,a)]. given #16109 (H,wt=30): 17620 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(8133(a,1),17617(a,2,2))]. given #16110 (H,wt=26): 17621 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,L(z,u,w))). [hyper(236,a,16034,a(flip),b,17620,a)]. given #16111 (H,wt=22): 17624 K(x,K(y,L(L(z,u,w),v5,w * u))) = K(x,K(y,L(z,u,w))). [hyper(236,a,15054,a(flip),b,17621,a(flip)),flip(a)]. given #16112 (H,wt=19): 17625 K(x,K(y,L(1 / z,z,u))) = K(x,K(y,L(z,u,w))). [hyper(17614,a,17624,a),flip(a)]. given #16113 (H,wt=16): 17629 K(x,K(y,L(z,u,w))) = K(x,K(y,1 / z)). [para(6591(a,1),17625(a,1,2)),flip(a)]. given #16114 (H,wt=14): 17631 K(x,K(y,L(z,u,w))) = K(z,K(x,y)). [hyper(236,a,9269,a(flip),b,17629,a)]. given #16115 (H,wt=10): 17638 a(x,y,K(z,K(u,w))) = 1. [hyper(73,a,17631,a(flip),b,14851,a),flip(a)]. given #16116 (H,wt=10): 17642 a(K(x,y),z,K(u,w)) = 1. [hyper(14317,a,17638,a)]. given #16117 (H,wt=10): 17643 a(K(x,K(y,z)),u,w) = 1. [hyper(14085,a,17638,a)]. given #16118 (H,wt=10): 17644 K(a(x,y,K(z,u)),w) = 1. [hyper(14036,a,17638,a)]. given #16119 (H,wt=10): 17648 K(x,a(y,z,K(u,w))) = 1. [hyper(236,a,13863,a(flip),b,17638,a(flip)),flip(a)]. given #16120 (H,wt=10): 17657 L(x,y,K(z,K(u,w))) = x. [hyper(33,a,17643,a)]. given #16121 (H,wt=10): 17660 K(K(x,a(y,z,u)),w) = 1. [para(13863(a,1),17644(a,1,1))]. given #16122 (H,wt=10): 17661 T(x,a(y,z,K(u,w))) = x. [hyper(37,a,17648,a)]. given #16123 (H,wt=10): 17678 T(x,K(y,a(z,u,w))) = x. [para(13863(a,1),17661(a,1,2))]. given #16124 (H,wt=10): 17679 T(x,K(a(y,z,u),w)) = x. [para(13871(a,1),17661(a,1,2))]. given #16125 (H,wt=12): 17652 L(K(x,y),z,K(u,w)) = K(x,y). [hyper(33,a,17642,a)]. given #16126 (H,wt=12): 17675 T(x,L(y,z,K(u,w))) = T(x,y). [hyper(236,a,14361,a(flip),b,17661,a(flip)),flip(a)]. given #16127 (H,wt=12): 17680 T(x,K(y,L(z,u,w) \ z)) = x. [para(14074(a,2),17661(a,1,2))]. given #16128 (H,wt=12): 17681 K(x,T(y,a(z,u,w))) = K(x,y). [hyper(8943,a,17678,a)]. given #16129 (H,wt=12): 17683 T(x,T(y,a(z,u,w))) = T(x,y). [hyper(7185,a,17678,a)]. given #16130 (H,wt=12): 17691 K(x,L(y,z,K(u,w))) = K(x,y). [hyper(11589,a,17652,a)]. given #16131 (H,wt=12): 17692 K(L(x,y,K(z,u)),w) = K(x,w). [hyper(10722,a,17652,a)]. given #16132 (H,wt=12): 17694 R(K(x,y),z,K(u,w)) = K(x,y). [hyper(236,a,15596,a,b,17652,a(flip)),flip(a)]. given #16133 (H,wt=12): 17710 T(x,K(y,z \ L(z,u,w))) = x. [hyper(9322,a,17680,a)]. given #16134 (H,wt=13): 17664 L(x,y,T(z,K(u,w))) = L(x,y,z). [hyper(6750,a,17657,a)]. given #16135 (H,wt=14): 17632 K(x,K(y,L(z,u,w))) = K(x,K(y,z)). [hyper(236,a,9256,a(flip),b,17629,a)]. given #16136 (H,wt=14): 17633 K(x,K(y,L(z,u,w))) = K(x,K(z,y)). [hyper(236,a,9248,a(flip),b,17629,a)]. given #16137 (H,wt=14): 17709 T(x,T(y,L(z,u,w))) = T(x,T(y,z)). [para(14677(a,1),17675(a,1,2))]. given #16138 (H,wt=14): 17725 K(x,T(y,L(z,u,w))) = K(x,T(y,z)). [para(14361(a,1),17681(a,1,2))]. given #16139 (H,wt=14): 17742 K(x,T(y,z \ L(z,u,w))) = K(x,y). [hyper(8943,a,17710,a)]. given #16140 (H,wt=14): 17753 K(x,K(L(y,z,u),w)) = K(x,K(y,w)). [para(11471(a,1),17632(a,1,2))]. given #16141 (H,wt=15): 17653 x * a(K(y,z),u,K(w,v5)) != v6 | v6 = x. [para(17642(a,2),83(a,1,2))]. given #16142 (H,wt=13): 17775 T(x,a(y,z,K(u,w))) != v5 | v5 = x. [para(14032(a,1),17653(a,1))]. given #16143 (H,wt=15): 17659 T(a(x,y,K(z,u)),w) = a(x,y,K(z,u)). [hyper(37,a,17644,a)]. given #16144 (H,wt=15): 17673 x * K(K(y,a(z,u,w)),v5) != v6 | v6 = x. [para(17660(a,2),83(a,1,2))]. given #16145 (H,wt=15): 17718 K(x,T(y,a(z,u,w))) != v5 | K(x,y) = v5. [para(17681(a,1),8174(a,1))]. given #16146 (H,wt=15): 17732 K(x,L(y,z,L(K(u,w),v5,v6))) = K(x,y). [para(5893(a,1),17691(a,1,2,3))]. given #16147 (H,wt=15): 17733 K(x,L(y,z,T(u,w))) = K(x,L(y,z,u)). [para(6749(a,1),17691(a,1,2))]. given #16148 (H,wt=15): 17743 T(x,K(y,z \ L(z,u,w))) != v5 | v5 = x. [para(17710(a,1),7992(a,1,1))]. given #16149 (H,wt=15): 17774 K(x,L(y,z,K(u,w))) != v5 | K(x,y) = v5. [para(11482(a,1),17653(a,1)),flip(b)]. given #16150 (H,wt=15): 17784 K(L(x,y,K(z,u)),w) != v5 | K(x,w) = v5. [para(11471(a,1),17774(a,1))]. given #16151 (H,wt=17): 17635 K(x,K(y,L(z,u,w))) != v5 | K(x,K(y,z)) = v5. [para(17629(a,2),9272(a,1))]. given #16152 (H,wt=17): 17636 K(x,K(y,L(z,u,w))) != v5 | K(x,K(z,y)) = v5. [para(17629(a,2),9275(a,1))]. given #16153 (H,wt=17): 17667 a(x,y,K(z,u)) * w = w * a(x,y,K(z,u)). [hyper(236,a,14758,a(flip),b,17657,a(flip)),flip(a)]. given #16154 (H,wt=17): 17684 T(x,a(y,z,u) / w) = T(x,w \ a(y,z,u)). [hyper(236,a,9327,a(flip),b,17678,a(flip))]. given #16155 (H,wt=17): 17685 T(x,y / a(z,u,w)) = T(x,a(z,u,w) \ y). [para(17678(a,1),9342(a,1,1))]. given #16156 (H,wt=17): 17702 K(x,y) * a(z,u,w) = a(z,u,w) * K(x,y). [para(17652(a,1),14682(a,1,2)),flip(a)]. given #16157 (H,wt=13): 17805 T(a(x,y,z),K(u,w)) = a(x,y,z). [hyper(8581,a,17702,a)]. given #16158 (H,wt=17): 17711 K(a(x,y,z) * u,w) = K(u * a(x,y,z),w). [hyper(13410,a,17681,a)]. given #16159 (H,wt=17): 17712 K(x,a(y,z,u) * w) = K(x,w * a(y,z,u)). [hyper(13098,a,17681,a)]. given #16160 (H,wt=17): 17713 K(x,a(y,z,u) / w) = K(x,w \ a(y,z,u)). [hyper(8189,a,17681,a)]. given #16161 (H,wt=17): 17714 K(x,y / a(z,u,w)) = K(x,a(z,u,w) \ y). [hyper(8187,a,17681,a)]. given #16162 (H,wt=17): 17744 L(x,y,K(z,u) * w) = L(x,y,w * K(z,u)). [hyper(236,a,13502,a(flip),b,17664,a(flip))]. given #16163 (H,wt=17): 17746 L(x,y,T(z,u / w)) = L(x,y,T(z,w \ u)). [para(8329(a,1),17664(a,1,3)),flip(a)]. given #16164 (H,wt=17): 17776 L(K(x,K(y,z)),u,w) != v5 | K(x,K(y,z)) = v5. [para(14015(a,1),17653(a,1)),flip(b)]. given #16165 (H,wt=17): 17779 K(x,T(y,L(z,u,w))) != v5 | K(x,T(y,z)) = v5. [para(14361(a,1),17718(a,1,2))]. given #16166 (H,wt=17): 17782 K(x,L(y,z,u / w)) = K(x,L(y,z,w \ u)). [para(121(a,1),17733(a,1,2,3)),flip(a)]. given #16167 (H,wt=17): 17788 K(x,K(L(y,z,u),w)) != v5 | K(x,K(y,w)) = v5. [para(11471(a,1),17635(a,1,2))]. given #16168 (H,wt=17): 17791 a(x,y,K(z,u)) * w = w * a(z,y,K(u,x)). [hyper(14598,a,17667,a)]. given #16169 (H,wt=17): 17792 a(x,y,K(z,u)) * w = w * a(u,y,K(x,z)). [hyper(14351,a,17667,a)]. given #16170 (H,wt=17): 17793 (a(x,y,K(z,u)) * w) * a(u,y,K(z,x)) = w. [hyper(14029,a,17667,a)]. given #16171 (H,wt=17): 17799 K(x,a(y,z,u)) * w = w * a(x,z,K(u,y)). [para(14004(a,1),17667(a,1,1))]. given #16172 (H,wt=15): 17836 K(x,T(a(y,z,u),w)) = a(x,z,K(u,y)). [hyper(9395,a,17799,a)]. given #16173 (H,wt=15): 17837 K(x,T(a(y,z,u),w)) = K(x,a(y,z,u)). [hyper(236,a,14004,a(flip),b,17836,a)]. given #16174 (H,wt=15): 17838 K(x,T(a(y,z,u),w)) = K(a(x,z,u),y). [hyper(236,a,13871,a(flip),b,17836,a)]. given #16175 (H,wt=17): 17835 a(x * y,z,K(u,w)) = K(y * x,a(w,z,u)). [hyper(13414,a,17799,a),flip(a)]. given #16176 (H,wt=17): 17841 K(a(x,y,z),u) * w = w * K(x,a(u,y,z)). [para(17838(a,1),8047(a,1,1))]. given #16177 (H,wt=17): 17843 K(x,a(y,z,u)) * (w * K(y,a(x,z,u))) = w. [hyper(5285,a,17841,a)]. given #16178 (H,wt=18): 17783 K(x,L(y,z,T(u,w))) != v5 | K(x,L(y,z,u)) = v5. [para(6749(a,1),17774(a,1,2))]. given #16179 (H,wt=19): 17639 (x * y) * K(z,K(u,w)) = x * (y * K(z,K(u,w))). [para(17631(a,1),11570(a,1,2))]. given #16180 (H,wt=19): 17665 (K(x,K(y,z)) \ u) \ w = u \ (K(x,K(y,z)) * w). [hyper(521,a,17657,a),flip(a)]. given #16181 (H,wt=19): 17668 (K(x,K(y,z)) * u) * w = K(x,K(y,z)) * (u * w). [para(17657(a,1),103(a,1,2))]. given #16182 (H,wt=19): 17669 (K(x,K(y,z)) * u) / w = K(x,K(y,z)) * (u / w). [para(17657(a,1),494(a,1,2))]. given #16183 (H,wt=19): 17696 K(x,(K(y,z) \ u) \ w) = K(x,u \ (K(y,z) * w)). [hyper(236,a,6595,a(flip),b,17652,a(flip))]. given #16184 (H,wt=19): 17697 K((K(x,y) * z) \ u,w) = K(z \ (K(y,x) * u),w). [hyper(236,a,6573,a(flip),b,17652,a(flip))]. given #16185 (H,wt=19): 17699 (K(x,y) * z) * K(u,w) = K(x,y) * (z * K(u,w)). [para(17652(a,1),103(a,1,2))]. given #16186 (H,wt=19): 17701 K(x,y) \ (z * K(u,w)) = (K(x,y) \ z) * K(u,w). [para(17652(a,1),5951(a,1,2)),flip(a)]. given #16187 (H,wt=19): 17707 T(x,(y * K(z,u)) / w) = T(x,y / (w * K(u,z))). [hyper(236,a,15347,a(flip),b,17675,a(flip))]. given #16188 (H,wt=19): 17726 K(x,(K(y,z) * u) \ w) = K(x,u \ (K(z,y) * w)). [para(14681(a,1),17681(a,1,2))]. given #16189 (H,wt=19): 17728 K(x,a(y,z,u)) * T(x,w) = T(T(x,a(y,z,u)),w). [hyper(8224,a,17683,a)]. given #16190 (H,wt=19): 17735 K(x,(y * K(z,u)) / w) = K(x,y / (w * K(u,z))). [para(15600(a,1),17691(a,1,2)),flip(a)]. given #16191 (H,wt=19): 17745 L(x,y,K(z,u) * (w * z)) = L(x,y,w * T(z,u)). [para(8194(a,1),17664(a,1,3))]. given #16192 (H,wt=19): 17752 K(x,K(y,(z \ u) \ w)) = K(x,K(y,u \ (z * w))). [para(450(a,1),17632(a,1,2,2)),flip(a)]. given #16193 (H,wt=19): 17755 K(x,K(y,(z / u) / w)) = K(x,K(y,z / (w * u))). [para(15354(a,1),17632(a,1,2)),flip(a)]. given #16194 (H,wt=19): 17760 K(x,K((y * z) \ u,w)) = K(x,K(w,z \ (y \ u))). [para(11477(a,1),17633(a,1,2))]. given #16195 (H,wt=19): 17761 K(x,K(y \ (z * u),w)) = K(x,K(w,(z \ y) \ u)). [para(11544(a,1),17633(a,1,2))]. given #16196 (H,wt=19): 17764 T(x,T(y,(z * u) \ w)) = T(x,T(y,u \ (z \ w))). [para(227(a,1),17709(a,1,2,2))]. given #16197 (H,wt=19): 17768 L(x,y,z) * K(u,T(w,x)) = K(u,w) * L(x,y,z). [para(17725(a,1),7281(a,1,2))]. given #16198 (H,wt=19): 17769 K(x,T(y,(z / u) / w)) = K(x,T(y,z / (w * u))). [para(15346(a,1),17725(a,1,2)),flip(a)]. given #16199 (H,wt=19): 17795 a(x,y,K(z,u)) * (w \ u) = w \ L(u,y,K(x,z)). [hyper(236,a,14772,a(flip),b,17667,a)]. given #16200 (H,wt=19): 17796 a(x,y,K(z,u)) * (w * z) = w * L(z,y,K(u,x)). [hyper(236,a,14701,a(flip),b,17667,a)]. given #16201 (H,wt=19): 17797 (x \ y) * a(x,z,K(u,w)) = L(x,z,K(w,u)) \ y. [hyper(236,a,14770,a(flip),b,17667,a(flip))]. given #16202 (H,wt=19): 17806 (x / a(y,z,u)) \ T(x,w) = K(x,w) * a(y,z,u). [hyper(236,a,14441,a,b,17702,a),flip(a)]. given #16203 (H,wt=19): 17818 K(x,L(y,z,(u \ 1) \ w)) = K(x,L(y,z,w * u)). [hyper(14839,a,17782,a),flip(a)]. given #16204 (H,wt=19): 17819 K(x,L(y,z,u \ (w \ u))) = K(x,L(y,z,w \ 1)). [hyper(14831,a,17782,a),flip(a)]. given #16205 (H,wt=19): 17829 a(x,y,K(z,u)) * (w * u) = w * L(u,y,K(x,z)). [hyper(236,a,14701,a(flip),b,17791,a)]. given #16206 (H,wt=19): 17830 (x * y) * a(x,z,K(u,w)) = L(x,z,K(u,w)) * y. [hyper(236,a,14700,a(flip),b,17791,a(flip))]. given #16207 (H,wt=19): 17849 K(x,K(y,z)) * (u * w) = u * (w * K(x,K(y,z))). [hyper(16129,a,17639,a)]. given #16208 (H,wt=19): 17850 (x * y) * K(z,K(u,w)) = x * (K(z,K(u,w)) * y). [hyper(236,a,16117,a,b,17639,a)]. given #16209 (H,wt=19): 17852 (K(x,K(y,z)) \ u) \ (K(x,K(y,z)) \ w) = u \ w. [para(14(a,1),17665(a,2,2))]. given #16210 (H,wt=19): 17853 K(x,K(y,z)) \ (u * w) = (K(x,K(y,z)) \ u) * w. [hyper(587,a,17668,a)]. given #16211 (H,wt=19): 17855 (x * K(y,K(z,u))) * w = K(y,K(z,u)) * (x * w). [para(16057(a,1),17668(a,1,1))]. given #16212 (H,wt=19): 17858 K(x,(K(y,z) \ u) \ w) = K(x,u \ (K(z,y) \ w)). [para(5260(a,2),17696(a,2,2,2))]. given #16213 (H,wt=19): 17859 K((x * K(y,z)) \ u,w) = K(x \ (K(z,y) * u),w). [hyper(16685,a,17697,a)]. given #16214 (H,wt=19): 17867 K(x,(K(y,z) * u) \ w) = K(x,u \ (w * K(z,y))). [hyper(16733,a,17726,a(flip)),flip(a)]. given #16215 (H,wt=19): 17868 K(x,y \ (K(z,u) * w)) = K(x,(y \ K(z,u)) * w). [hyper(236,a,14520,a(flip),b,17726,a(flip))]. given #16216 (H,wt=19): 17869 K(x,(y * K(z,u)) / w) = K(x,y * (w \ K(z,u))). [hyper(236,a,16792,a(flip),b,17735,a)]. given #16217 (H,wt=19): 17870 K(x,K(y,z \ (u * w))) = K(x,K(y,(u \ z) * w)). [hyper(236,a,16502,a(flip),b,17752,a(flip))]. given #16218 (H,wt=19): 17871 K(x,K(y,z / (u * w))) = K(x,K(y,u \ (z / w))). [hyper(16052,a,17755,a),flip(a)]. given #16219 (H,wt=19): 17875 K((x * y) \ z,K(u,w)) = K(u,K(w,y \ (x \ z))). [hyper(7921,a,17760,a)]. given #16220 (H,wt=19): 17880 K(x,T(y,z / (u * w))) = K(x,T(y,u \ (z / w))). [hyper(16310,a,17769,a),flip(a)]. given #16221 (H,wt=19): 17888 (x * y) * a(x,z,K(u,y)) = L(x * y,z,K(u,y)). [hyper(236,a,14791,a,b,17830,a)]. given #16222 (H,wt=15): 17913 a(x * y,z,K(u,y)) = a(x,z,K(u,y)). [hyper(17,a,14672,a,b,17888,a),flip(a)]. given #16223 (H,wt=15): 17914 a(x,y,K(z,x * u)) = a(x,y,K(z,u)). [hyper(236,a,14262,a(flip),b,17913,a(flip)),flip(a)]. given #16224 (H,wt=15): 17915 a(x,y,K(z,x \ u)) = a(x,y,K(z,u)). [para(14(a,1),17914(a,1,3,2)),flip(a)]. given #16225 (H,wt=19): 17889 x \ (K(y,K(z,u)) * w) = (x \ w) * K(y,K(z,u)). [hyper(551,a,17849,a)]. given #16226 (H,wt=19): 17890 K(x,K(y,z)) * (u * w) = u * (K(x,K(y,z)) * w). [hyper(236,a,16117,a,b,17849,a)]. given #16227 (H,wt=19): 17891 (K(x,K(y,z)) * u) * w = u * (w * K(x,K(y,z))). [hyper(17,a,17668,a(flip),b,17849,a)]. given #16228 (H,wt=19): 17895 K(x,K(y,z)) \ (u * w) = (K(y,K(x,z)) \ u) * w. [para(7919(a,1),17853(a,1,1))]. given #16229 (H,wt=19): 17903 K(x,(y * K(z,u)) \ w) = K(x,y \ (w * K(u,z))). [hyper(16648,a,17867,a)]. given #16230 (H,wt=19): 17904 K(x,(y \ K(z,u)) * (K(u,z) * w)) = K(x,y \ w). [para(5268(a,1),17868(a,1,2,2)),flip(a)]. given #16231 (H,wt=19): 17907 K(x,K(y,(z \ u) * w)) = K(x,K(y,(z * w) * u)). [hyper(16507,a,17870,a),flip(a)]. given #16232 (H,wt=19): 17908 K(x,K(y,(z * u) \ w)) = K(x,K(y,z \ (w / u))). [hyper(16052,a,17871,a)]. given #16233 (H,wt=19): 17911 K(x,T(y,(z * u) \ w)) = K(x,T(y,z \ (w / u))). [hyper(16310,a,17880,a)]. given #16234 (H,wt=19): 17916 x \ (K(y,K(z,u)) * w) = K(y,K(z,u)) * (x \ w). [hyper(236,a,16057,a,b,17889,a)]. given #16235 (H,wt=19): 17917 (x \ K(y,z)) * K(y,K(z,u)) = x \ K(y,T(z,u)). [para(7901(a,1),17889(a,1,2)),flip(a)]. given #16236 (H,wt=19): 17921 (x * K(y,K(z,u))) * w = x * (K(y,K(z,u)) * w). [hyper(17,a,17855,a(flip),b,17890,a)]. given #16237 (H,wt=10): 17935 R(x,K(y,K(z,u)),w) = x. [hyper(4699,a,17921,a)]. given #16238 (H,wt=10): 17936 L(x,K(y,K(z,u)),w) = x. [hyper(436,a,17921,a)]. given #16239 (H,wt=19): 17922 (K(x,K(y,z)) * u) * w = u * (K(x,K(y,z)) * w). [hyper(17,a,17668,a(flip),b,17890,a)]. given #16240 (H,wt=19): 17928 K(x,K(y,(z * u) \ w)) = K(x,K(y,z \ (u \ w))). [hyper(236,a,17045,a(flip),b,17908,a)]. given #16241 (H,wt=19): 17930 K(x,T(y,(z * u) \ w)) = K(x,T(y,z \ (u \ w))). [hyper(17015,a,17911,a(flip)),flip(a)]. given #16242 (H,wt=19): 17937 (x * K(y,K(z,u))) \ w = (x \ w) * K(y,K(z,u)). [para(17935(a,1),16250(a,1,1,1)),flip(a)]. given #16243 (H,wt=19): 17943 (K(x,K(y,z)) * u) \ w = (u \ w) * K(x,K(y,z)). [para(16057(a,2),17937(a,1,1))]. given #16244 (H,wt=19): 17945 (K(x,K(y,z)) * u) \ w = K(x,K(y,z)) * (u \ w). [hyper(236,a,16057,a,b,17943,a)]. given #16245 (H,wt=19): 17946 (K(x,K(y,z)) \ u) \ w = K(x,K(y,z)) \ (u \ w). [hyper(514,a,17945,a),flip(a)]. given #16246 (H,wt=17): 17948 K(x,(K(y,K(z,u)) \ w) \ v5) = K(x,w \ v5). [para(17946(a,2),16629(a,1,2))]. given #16247 (H,wt=17): 17949 K(x,y \ (K(z,K(u,w)) \ v5)) = K(x,y \ v5). [para(17852(a,1),17948(a,1,2)),flip(a)]. given #16248 (H,wt=20): 17677 a(x,y,K(z,u)) * w != v5 | w * a(x,y,K(z,u)) = v5. [para(17661(a,1),220(a,1,2))]. given #16249 (H,wt=18): 17953 T(x,a(y,z,u)) != w | x * a(y,z,K(x,u)) = w. [para(13865(a,1),17677(a,1))]. given #16250 (H,wt=18): 17955 T(x,a(y,z,u)) != w | x * a(x,z,K(u,y)) = w. [para(14034(a,1),17677(a,1))]. given #16251 (H,wt=18): 17957 L(x,y,K(z,u)) != w | x * a(x,y,K(z,u)) = w. [para(14671(a,1),17677(a,1))]. given #16252 (H,wt=20): 17686 T(x,a(y,z,u) * w) != v5 | T(x,w * a(y,z,u)) = v5. [para(17678(a,1),13095(a,1,1))]. given #16253 (H,wt=20): 17690 K(a(x,y,z),u) * w != v5 | w * K(a(x,y,z),u) = v5. [para(17679(a,1),220(a,1,2))]. given #16254 (H,wt=20): 17716 K(x,a(y,z,u) / w) != v5 | K(x,w \ a(y,z,u)) = v5. [para(17681(a,1),7297(a,1))]. given #16255 (H,wt=20): 17717 K(a(x,y,z) / u,w) != v5 | K(u \ a(x,y,z),w) = v5. [para(17681(a,1),7298(a,1))]. given #16256 (H,wt=20): 17719 K(x / a(y,z,u),w) != v5 | K(a(y,z,u) \ x,w) = v5. [para(17681(a,1),8178(a,1))]. given #16257 (H,wt=20): 17723 K(x,a(y,z,u) * w) != v5 | K(x,w * a(y,z,u)) = v5. [para(17681(a,1),13066(a,1))]. given #16258 (H,wt=20): 17724 K(x,y * a(z,u,w)) != v5 | K(x,a(z,u,w) * y) = v5. [para(17681(a,1),13098(a,1))]. given #16259 (H,wt=20): 17778 x * a(y,z,K(u,w)) != v5 | a(y,z,K(u,w)) * x = v5. [para(17659(a,1),220(a,1,2))]. given #16260 (H,wt=20): 17800 x * a(y,z,K(u,w)) != v5 | a(w,z,K(y,u)) * x = v5. [para(17667(a,1),14598(a,1))]. given #16261 (H,wt=20): 17808 K(x,y) * a(z,u,w) != v5 | a(z,u,w) * K(x,y) = v5. [para(17805(a,1),220(a,1,2))]. given #16262 (H,wt=20): 17834 a(x,y,K(z,u)) \ w != v5 | w * a(u,y,K(z,x)) = v5. [para(17793(a,1),515(a,1))]. given #16263 (H,wt=20): 17842 a(x * y,z,K(u,w)) != v5 | a(y * x,z,K(u,w)) = v5. [para(17835(a,2),14143(a,1))]. given #16264 (H,wt=20): 17846 K(x,L(y,z,u \ w)) != v5 | K(x,L(y,z,w / u)) = v5. [para(121(a,1),17783(a,1,2,3))]. given #16265 (H,wt=20): 17847 K(x,L(y,z,u * w)) != v5 | K(x,L(y,z,w * u)) = v5. [para(13502(a,1),17783(a,1,2))]. given #16266 (H,wt=20): 17848 K(x,L(y,z,u / w)) != v5 | K(x,L(y,z,w \ u)) = v5. [para(13541(a,1),17783(a,1,2))]. given #16267 (H,wt=20): 17874 K(x,K(y,(1 / z) / u)) != w | K(x,K(y,u * z)) = w. [para(17755(a,2),9272(a,1))]. given #16268 (H,wt=20): 17933 K(x,y \ K(z,T(u,w))) != v5 | K(x,y \ K(z,u)) = v5. [para(17917(a,1),16672(a,1,2))]. given #16269 (H,wt=20): 17954 a(x,y,K(z,u)) * w != v5 | w * a(z,y,K(u,x)) = v5. [para(13990(a,1),17677(a,1,1))]. given #16270 (H,wt=20): 17956 K(x,L(y,z,u)) != w | K(x,y) * a(x,z,K(u,y)) = w. [para(14020(a,1),17677(a,1))]. given #16271 (H,wt=20): 17958 x * a(y,z,K(u,w)) != v5 | x * a(w,z,K(y,u)) = v5. [para(17791(a,1),17677(a,1))]. given #16272 (H,wt=20): 17959 x * a(y,z,K(u,w)) != v5 | x * a(u,z,K(w,y)) = v5. [para(17792(a,1),17677(a,1))]. given #16273 (H,wt=20): 17964 L(K(x,y),z,u) != w | K(x,y) * a(u,z,K(y,x)) = w. [para(14342(a,1),17954(a,1))]. given #16274 (H,wt=21): 17704 (K(x,y) * z) * K(u,T(w,z)) = K(x,y) * (K(u,w) * z). [para(17652(a,1),15598(a,1,1)),flip(a)]. given #16275 (H,wt=19): 17966 K(x,y) * (K(z,u) * w) = K(z,u) * (K(x,y) * w). [hyper(16961,a,17704,a)]. given #16276 (H,wt=19): 17975 (K(x,y) * z) / (K(x,y) * (K(u,w) * z)) = K(w,u). [para(17966(a,1),5266(a,1,2))]. given #16277 (H,wt=21): 17720 (K(x,y) * a(z,u,w)) * v5 = (a(z,u,w) * K(x,y)) * v5. [para(17681(a,1),8097(a,1,1,1))]. given #16278 (H,wt=21): 17759 K(x,L(y,z,u)) * K(x,K(y,w)) = T(K(x,L(y,z,u)),w). [para(17633(a,1),7948(a,1,2))]. given #16279 (H,wt=21): 17801 K(x,y) * (z * a(x,u,K(w,y))) = L(K(x,y),u,w) * z. [para(17667(a,1),14623(a,1,2))]. given #16280 (H,wt=21): 17802 K(x,y) * (z * a(x,u,K(w,y))) = K(x,L(y,u,w)) * z. [para(17667(a,1),14649(a,1,2))]. given #16281 (H,wt=21): 17821 K(x,y) * a(x,z,K(u \ w,y)) = K(x,L(y,z,w / u)). [hyper(236,a,14017,a,b,17782,a),flip(a)]. given #16282 (H,wt=17): 17983 a(x,y,K(z / u,w)) = a(x,y,K(u \ z,w)). [hyper(17,a,14017,a,b,17821,a),flip(a)]. given #16283 (H,wt=17): 17984 a(x \ y,z,K(u,w)) = a(w,z,K(y / x,u)). [hyper(236,a,13990,a,b,17983,a),flip(a)]. given #16284 (H,wt=17): 17986 a(x,y,K((z * u) / z,w)) = a(u,y,K(w,x)). [para(13(a,1),17984(a,1,1)),flip(a)]. given #16285 (H,wt=15): 17989 a(x,y,K(z,T(u,w))) = a(z,y,K(u,x)). [para(8067(a,1),17986(a,1,3))]. given #16286 (H,wt=15): 17990 a(x,y,K(z,T(u,w))) = a(x,y,K(z,u)). [hyper(236,a,13990,a(flip),b,17989,a)]. given #16287 (H,wt=17): 17993 a(x,y,K(z,u / w)) = a(x,y,K(z,w \ u)). [para(121(a,1),17990(a,1,3,2)),flip(a)]. given #16288 (H,wt=18): 17991 a(x,y,K(z,T(u,w))) != v5 | a(x,y,K(z,u)) = v5. [para(17989(a,2),14287(a,1))]. given #16289 (H,wt=18): 17997 K(a(x,y,z),T(u,w)) != v5 | a(x,y,K(z,u)) = v5. [para(13871(a,1),17991(a,1))]. given #16290 (H,wt=18): 17998 a(T(x,y),z,K(u,w)) != v5 | a(x,z,K(u,w)) = v5. [para(14323(a,2),17991(a,1))]. given #16291 (H,wt=20): 17988 a(x,y,K(z / u,w)) != v5 | a(x,y,K(u \ z,w)) = v5. [para(17984(a,1),14287(a,1))]. given #16292 (H,wt=20): 17996 a(x,y,K(z * u,w)) != v5 | a(x,y,K(u * z,w)) = v5. [para(13395(a,1),17991(a,1,3))]. given #16293 (H,wt=21): 17856 K(x,K(y,z)) * ((u * x) * w) = (u * T(x,K(y,z))) * w. [para(16093(a,1),17668(a,1,1)),flip(a)]. given #16294 (H,wt=21): 17864 K(x,y) * ((1 / z) * K(u,w)) = (K(x,y) / z) * K(u,w). [para(14500(a,1),17699(a,1,1)),flip(a)]. given #16295 (H,wt=19): 18001 K(x,y) / (K(z,u) * w) = (K(x,y) / w) * K(u,z). [hyper(14591,a,17864,a)]. given #16296 (H,wt=21): 17866 T(x,(y * K(z,u)) / (w \ 1)) = T(x,y / (w \ K(u,z))). [para(14046(a,1),17707(a,2,2,2))]. given #16297 (H,wt=19): 18003 T(x,y / (z \ K(u,w))) = T(x,(y * K(w,u)) * z). [hyper(236,a,14250,a(flip),b,17866,a(flip))]. given #16298 (H,wt=21): 17884 K(x,L(y,z \ 1,(z \ 1) \ u)) = K(x,L(y,u,u * z)). [hyper(236,a,14572,a(flip),b,17818,a(flip)),flip(a)]. given #16299 (H,wt=21): 17886 a(x,y,K(z,u \ w)) * w = u * L(u \ w,y,K(x,z)). [hyper(307,a,17829,a)]. given #16300 (H,wt=21): 17899 K(x,(y \ z) \ (K(u,y) \ w)) = K(x,(T(y,u) \ z) \ w). [para(5174(a,1),17858(a,1,2,1)),flip(a)]. given #16301 (H,wt=21): 17900 K(x,(T(y,z) \ u) \ (K(y,z) \ w)) = K(x,(y \ u) \ w). [para(5340(a,1),17858(a,1,2,1)),flip(a)]. given #16302 (H,wt=21): 17926 T(x,y) * (z * K(x,K(u,w))) = T(T(x,K(u,w)),y) * z. [para(16133(a,1),17891(a,1,1)),flip(a)]. given #16303 (H,wt=21): 17932 K(x,K(y,z)) * (u \ K(x,z * y)) = u \ K(x,y * z). [para(13240(a,1),17916(a,1,2)),flip(a)]. given #16304 (H,wt=21): 17934 K(x,y * (z \ K(u,T(w,v5)))) = K(x,y * (z \ K(u,w))). [para(17917(a,1),16638(a,1,2,2))]. given #16305 (H,wt=21): 17950 K(x,y \ (K(z,T(u,w)) \ v5)) = K(x,y \ (K(z,u) \ v5)). [para(10511(a,1),17949(a,1,2,2))]. given #16306 (H,wt=21): 17961 K(x \ a(y,x,x \ 1),L(z,x,y)) = K(x \ 1,T(z,x)). [hyper(17717,a,11648,a)]. given #16307 (H,wt=19): 18011 K(x \ a(y,x,x \ 1),L(z,x,y)) = K(1 / x,z). [hyper(236,a,8068,a(flip),b,17961,a)]. given #16308 (H,wt=21): 17974 K(x,y) * (K(z,u) * (x * w)) = K(z,u) * (T(x,y) * w). [para(4906(a,1),17966(a,1,2)),flip(a)]. given #16309 (H,wt=21): 17980 K(x,L(y,z,u)) * K(x,K(y,w)) = K(x,L(T(y,w),z,u)). [hyper(236,a,7280,a,b,17759,a)]. given #16310 (H,wt=21): 17981 (K(x,y) * z) * a(x,u,K(w,y)) = L(K(x,y),u,w) * z. [hyper(17,a,1203,a(flip),b,17801,a)]. given #16311 (H,wt=21): 18000 K(x,T(y,z)) * ((y * x) * u) = (x * T(y,K(x,z))) * u. [hyper(236,a,11080,a,b,17856,a(flip)),flip(a)]. given #16312 (H,wt=21): 18004 T(x,y / (1 / (K(z,u) * w))) = T(x,(y * K(z,u)) * w). [hyper(236,a,14535,a,b,18003,a(flip)),flip(a)]. given #16313 (H,wt=19): 18015 T(x,(y * K(z,u)) * w) = T(x,y * (K(z,u) * w)). [hyper(236,a,14247,a(flip),b,18004,a(flip))]. given #16314 (H,wt=19): 18016 T(x,(K(y,z) * u) * w) = T(x,u * (K(y,z) * w)). [hyper(236,a,16616,a,b,18015,a(flip)),flip(a)]. given #16315 (H,wt=19): 18017 T(x,(y \ K(z,u)) \ w) = T(x,y * (K(u,z) * w)). [hyper(14523,a,18016,a)]. given #16316 (H,wt=21): 18007 a(x,y,K(z,y \ u)) * u = y * L(y \ u,u,K(x,z)). [para(11563(a,1),17886(a,1,1))]. given #16317 (H,wt=21): 18013 K(L(x,y,z),u) * K(u,L(T(x,w),y,z)) = K(u,K(x,w)). [hyper(5285,a,17980,a)]. given #16318 (H,wt=21): 18014 K(x,T(y,z)) * ((y * x) * u) = T(x * y,K(x,z)) * u. [para(7161(a,2),18000(a,2,1))]. given #16319 (H,wt=19): 18020 T(x * y,K(x,z)) * z = (T(x,z) * y) * T(z,x). [hyper(236,a,11140,a(flip),b,18014,a(flip))]. given #16320 (H,wt=19): 18021 T((x * y) * z,K(x,z)) = (T(x,z) * y) * T(z,x). [hyper(8545,a,18020,a)]. given #16321 (H,wt=21): 18018 x * L(x \ y,y,K(z,u)) = y * a(u,x,K(x \ y,z)). [hyper(17954,a,18007,a),flip(a)]. given #16322 (H,wt=21): 18019 K(L(x,y,z),u) * K(u,L(T(x,w),y,z)) = K(x,K(u,w)). [hyper(236,a,7919,a,b,18013,a)]. given #16323 (H,wt=21): 18024 K(x,L(y,z,u)) * K(y,L(T(x,w),z,u)) = K(x,K(y,w)). [para(11533(a,1),18019(a,1,1))]. given #16324 (H,wt=22): 17670 K(x,K(y,z)) * u != (K(x,K(y,z)) * w) * v5 | w * v5 = u. [para(17657(a,1),437(a,1,2)),flip(a)]. given #16325 (H,wt=22): 17700 (K(x,y) * z) * K(u,w) != v5 | K(x,y) * (z * K(u,w)) = v5. [para(17652(a,1),219(a,1,2))]. given #16326 (H,wt=22): 17721 K(x,y) * (a(z,u,w) * x) != v5 | a(z,u,w) * T(x,y) = v5. [para(17681(a,1),8469(a,1,1))]. given #16327 (H,wt=22): 17780 K(x,(K(y,z) * u) \ w) != v5 | K(x,u \ (K(z,y) * w)) = v5. [para(14681(a,1),17718(a,1,2))]. given #16328 (H,wt=22): 17785 K((K(x,y) * z) \ (K(x,y) * u),w) != v5 | K(z \ u,w) = v5. [para(11479(a,2),17774(a,1))]. given #16329 (H,wt=22): 17786 K(x,y / (z * K(u,w))) != v5 | K(x,(y * K(w,u)) / z) = v5. [para(15600(a,1),17774(a,1,2))]. given #16330 (H,wt=22): 17787 K(x,K(y,z \ ((z / u) * w))) != v5 | K(x,K(y,u \ w)) = v5. [para(453(a,1),17635(a,1,2,2))]. given #16331 (H,wt=22): 17789 K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,(z / w) * u)) = v5. [para(17491(a,1),17636(a,1))]. given #16332 (H,wt=22): 17817 K(x,T(y,(z * u) \ w)) != v5 | K(x,T(y,u \ (z \ w))) = v5. [para(227(a,1),17779(a,1,2,2))]. given #16333 (H,wt=22): 17820 K(x,L(T(y \ z,u),y,z \ u)) = K(x,u / ((u / z) * y)). [hyper(8408,a,17782,a),flip(a)]. given #16334 (H,wt=22): 17826 K(x,L(y,z,(u * w) \ w)) != v5 | K(x,L(y,z,u \ 1)) = v5. [para(17782(a,1),14832(a,1))]. given #16335 (H,wt=21): 18027 K(x,L(y,z * u,(z * u) \ u)) = K(x,L(y,u,z \ 1)). [hyper(17826,a,14572,a),flip(a)]. given #16336 (H,wt=19): 18028 K(x,L(y,z * u,z \ 1)) = K(x,L(y,u,z \ 1)). [hyper(17826,a,18027,a)]. given #16337 (H,wt=19): 18029 K(x,L(y,z \ u,z \ 1)) = K(x,L(y,u,z \ 1)). [para(14(a,1),18028(a,1,2,2)),flip(a)]. given #16338 (H,wt=22): 17827 K(x,L(y,z,(u \ 1) \ w)) != v5 | K(x,L(y,z,w * u)) = v5. [para(17782(a,1),14839(a,1))]. given #16339 (H,wt=22): 17844 K(x,a(y,z,u)) * (w * a(x,z,u)) = w * T(a(x,z,u),y). [para(7554(a,1),17843(a,1,2))]. given #16340 (H,wt=22): 17878 K(x,K(y,(z \ u) \ w)) != v5 | K(x,K(y,u \ (z * w))) = v5. [para(17761(a,1),7971(a,1))]. given #16341 (H,wt=22): 17897 K(x,K(y,z)) * u != (w * K(x,K(y,z))) * v5 | w * v5 = u. [para(17855(a,2),19(a,1)),flip(a)]. given #16342 (H,wt=22): 17906 K(x,(y * K(z,u)) / w) != v5 | K(x,y / (w * K(u,z))) = v5. [para(17869(a,2),16793(a,1))]. given #16343 (H,wt=22): 17912 K(x,T(y,z \ (u / w))) != v5 | K(x,T(y,(z * w) \ u)) = v5. [para(17880(a,1),16310(a,1))]. given #16344 (H,wt=22): 17919 x \ (K(y,K(z,u)) * w) != v5 | K(y,K(z,u)) * (x \ w) = v5. [para(17889(a,2),16129(a,1))]. given #16345 (H,wt=22): 17929 K(x,K(y,(z * u) \ w)) != v5 | K(x,K(y,z \ (u \ w))) = v5. [para(17908(a,2),17094(a,1))]. given #16346 (H,wt=22): 17931 K(x,T(y,(z * u) \ w)) != v5 | K(x,T(y,z \ (u \ w))) = v5. [para(17911(a,2),17015(a,1))]. given #16347 (H,wt=22): 17942 K(x,T(y,z \ (u \ w))) != v5 | K(x,T(y,w \ (z * u))) = v5. [para(17930(a,1),9375(a,1))]. given #16348 (H,wt=22): 17965 K(x,L(y,z,u \ 1)) != w | K(x,y) * a(y,z,K(u,x)) = w. [para(14210(a,1),17954(a,1))]. given #16349 (H,wt=22): 17977 (K(x,y) * z) / (K(x,y) * (K(u,w) * z)) != v5 | K(w,u) = v5. [para(17966(a,1),5272(a,1,2))]. given #16350 (H,wt=22): 17978 K(x,y) * z != K(u,w) * v5 | K(u,w) * (K(y,x) * v5) = z. [para(17975(a,1),81(a,1,1)),flip(b)]. given #16351 (H,wt=21): 18034 K(x,L(y,z,u)) * (K(y,x) * w) = w * a(x,z,K(u,y)). [hyper(17978,a,17802,a)]. given #16352 (H,wt=22): 18012 K(x \ a(y,x,x \ 1),L(z,x,y)) != u | K(x \ 1,z) = u. [para(18011(a,2),3294(a,1))]. given #16353 (H,wt=22): 18025 K(x,K(y,((z / u) * w) * z)) != v5 | K(x,K(y,u \ w)) = v5. [para(16504(a,1),17787(a,1))]. given #16354 (H,wt=22): 18033 K(x,T(y,(z \ u) \ w)) != v5 | K(x,T(y,u \ (w * z))) = v5. [para(9348(a,1),17942(a,1))]. given #16355 (H,wt=23): 17687 x \ T(y * x,K(a(z,u,w),v5)) = T(y,K(v5,a(z,u,w)) * x). [para(17678(a,1),15657(a,1,2,1,2))]. given #16356 (H,wt=16): 18037 T(x,K(y,a(z,u,w)) * v5) = v5 \ (x * v5). [para(17679(a,1),17687(a,1,2)),flip(a)]. given #16357 (H,wt=14): 18038 T(x,K(y,a(z,u,w)) * v5) = T(x,v5). [hyper(236,a,32,a,b,18037,a)]. given #16358 (H,wt=14): 18041 T(x,y * K(a(z,u,w),v5)) = T(x,y). [hyper(16357,a,18038,a)]. given #16359 (H,wt=14): 18042 T(x,a(y,z,K(u,w)) * v5) = T(x,v5). [para(13863(a,2),18038(a,1,2,1))]. given #16360 (H,wt=14): 18043 T(x,K(y,L(z,u,w))) = T(x,K(y,z)). [para(13869(a,1),18038(a,1,2))]. given #16361 (H,wt=14): 18045 T(x,y * a(z,u,K(w,v5))) = T(x,y). [para(17799(a,1),18038(a,1,2))]. given #16362 (H,wt=14): 18049 T(x,K(y,L(z,u,w))) = T(x,K(z,y)). [hyper(236,a,7981,a,b,18043,a)]. given #16363 (H,wt=14): 18053 T(x,K(y,R(z,u,w))) = T(x,K(y,z)). [para(15348(a,2),18043(a,1,2))]. given #16364 (H,wt=16): 18054 K(x,y * a(z,u,K(w,v5))) = x \ T(x,y). [hyper(72,a,18045,a(flip),b,4887,a(flip)),flip(a)]. given #16365 (H,wt=14): 18063 K(x,y * a(z,u,K(w,v5))) = K(x,y). [hyper(236,a,4829,a,b,18054,a)]. given #16366 (H,wt=14): 18065 K(x,a(y,z,K(u,w)) * v5) = K(x,v5). [hyper(17724,a,18063,a)]. given #16367 (H,wt=14): 18068 K(x,y * K(z,a(u,w,v5))) = K(x,y). [para(13863(a,1),18063(a,1,2,2))]. given #16368 (H,wt=16): 18055 K(x * a(y,z,K(u,w)),v5) = v5 / T(v5,x). [para(18045(a,1),4826(a,2,2))]. given #16369 (H,wt=14): 18075 K(x * a(y,z,K(u,w)),v5) = K(x,v5). [hyper(236,a,4826,a,b,18055,a)]. given #16370 (H,wt=14): 18078 K(x * K(y,a(z,u,w)),v5) = K(x,v5). [para(13863(a,1),18075(a,1,1,2))]. given #16371 (H,wt=14): 18081 K(K(x,a(y,z,u)) * w,v5) = K(w,v5). [para(17799(a,2),18075(a,1,1))]. given #16372 (H,wt=16): 18069 K(x,y * L(z,u,K(w,v5))) = K(x,y * z). [para(14701(a,1),18063(a,1,2))]. given #16373 (H,wt=16): 18070 K(x,L(y,z,K(u,w)) \ v5) = K(x,y \ v5). [para(17797(a,1),18063(a,1,2))]. given #16374 (H,wt=16): 18072 K(x,y / T(z,a(u,w,v5))) = K(x,y / z). [para(6197(a,1),18068(a,1,2)),flip(a)]. given #16375 (H,wt=16): 18079 K(x \ L(y,z,K(u,w)),v5) = K(x \ y,v5). [para(14687(a,1),18075(a,1,1))]. given #16376 (H,wt=16): 18088 K(x,y / L(z,u,K(w,v5))) = K(x,y / z). [para(14670(a,2),18072(a,1,2,2))]. given #16377 (H,wt=17): 18039 T(x,K(y,a(z,u,w)) * v5) != v6 | T(x,v5) = v6. [para(18037(a,2),284(a,1))]. given #16378 (H,wt=17): 18059 T(x,K(y,L(z,u,w))) != v5 | T(x,K(y,z)) = v5. [para(18049(a,2),8002(a,1))]. given #16379 (H,wt=17): 18064 K(x,y * a(z,u,K(w,v5))) != v6 | K(x,y) = v6. [para(18054(a,2),4956(a,1))]. given #16380 (H,wt=17): 18076 K(x * a(y,z,K(u,w)),v5) != v6 | K(x,v5) = v6. [para(18055(a,2),4928(a,1))]. given #16381 (H,wt=17): 18091 T(x,a(y,z,K(u,w)) * v5) != v6 | T(x,v5) = v6. [para(13863(a,2),18039(a,1,2,1))]. given #16382 (H,wt=17): 18094 T(x,K(L(y,z,u),w)) != v5 | T(x,K(y,w)) = v5. [para(11471(a,1),18059(a,1,2))]. given #16383 (H,wt=17): 18099 K(x,a(y,z,K(u,w)) * v5) != v6 | K(x,v5) = v6. [para(17667(a,2),18064(a,1,2))]. given #16384 (H,wt=17): 18100 K(x,K(y,a(z,u,w)) * v5) != v6 | K(x,v5) = v6. [para(17799(a,2),18064(a,1,2))]. given #16385 (H,wt=17): 18104 K(K(x,a(y,z,u)) * w,v5) != v6 | K(w,v5) = v6. [para(17799(a,2),18076(a,1,1))]. given #16386 (H,wt=18): 18044 T(x,K(y,L(z,u,w)) * v5) = T(x,K(y,z) * v5). [para(14656(a,1),18038(a,1,2))]. given #16387 (H,wt=18): 18048 T(x,L(K(y,z),u,w) * v5) = T(x,K(y,z) * v5). [para(10223(a,1),18042(a,1,2)),flip(a)]. given #16388 (H,wt=18): 18056 T(x,y * (z * a(u,w,K(v5,v6)))) = T(x,y * z). [para(12126(a,1),18045(a,1,2))]. given #16389 (H,wt=18): 18067 K(x,y * (z * a(u,w,K(v5,v6)))) = K(x,y * z). [para(12126(a,1),18063(a,1,2))]. given #16390 (H,wt=18): 18071 K(x,K(y,L(z,u,w)) * v5) = K(x,K(y,z) * v5). [para(11504(a,1),18065(a,1,2)),flip(a)]. given #16391 (H,wt=18): 18082 K(a(x,y,z),u) != w | K(a(x,y,z),T(u,v5)) = w. [para(18078(a,1),8428(a,1))]. given #16392 (H,wt=18): 18083 K(x * (y * K(z,a(u,w,v5))),v6) = K(x * y,v6). [para(11556(a,1),18078(a,1,1))]. given #16393 (H,wt=18): 18084 K(K(x,L(y,z,u)) * w,v5) = K(K(x,y) * w,v5). [para(14656(a,1),18081(a,1,1))]. given #16394 (H,wt=18): 18085 K(x,y * T(z,L(u,w,v5))) = K(x,y * T(z,u)). [para(14677(a,1),18069(a,1,2,2))]. given #16395 (H,wt=18): 18111 T(x,y * K(z,L(u,w,v5))) = T(x,K(z,u) * y). [hyper(16130,a,18044,a)]. given #16396 (H,wt=18): 18115 T(x,K(L(y,z,u),w) * v5) = T(x,K(y,w) * v5). [para(11471(a,1),18044(a,1,2,1))]. given #16397 (H,wt=18): 18119 K(x,y * K(z,L(u,w,v5))) = K(x,y * K(z,u)). [para(11482(a,1),18067(a,1,2,2))]. given #16398 (H,wt=18): 18122 K(x,y * (a(z,u,K(w,v5)) * v6)) = K(x,y * v6). [para(17667(a,2),18067(a,1,2,2))]. given #16399 (H,wt=18): 18136 T(x,y * K(L(z,u,w),v5)) = T(x,K(z,v5) * y). [para(11471(a,1),18111(a,1,2,2))]. given #16400 (H,wt=19): 18052 T(x,K(y,(z * u) \ w)) = T(x,K(y,u \ (z \ w))). [para(227(a,1),18043(a,1,2,2))]. given #16401 (H,wt=19): 18061 T(x,K(y,(z * u) \ (w * u))) = T(x,K(y,w / z)). [hyper(16377,a,18053,a)]. given #16402 (H,wt=19): 18066 K(x,(y * z) * K(u,w)) = K(x,y * (z * K(u,w))). [para(91(a,1),18063(a,1,2))]. given #16403 (H,wt=19): 18077 K((x * y) * K(z,u),w) = K(x * (y * K(z,u)),w). [para(91(a,1),18075(a,1,1))]. given #16404 (H,wt=19): 18093 T(x,y / T(z,a(u,w,v5))) != v6 | T(x,y / z) = v6. [para(16256(a,1),18039(a,1))]. given #16405 (H,wt=19): 18096 K(x,y \ a(z,u,K(w,v5))) != v6 | K(x,y \ 1) = v6. [para(14126(a,1),18064(a,1))]. given #16406 (H,wt=19): 18097 K(x,y * T(z,a(u,w,v5))) != v6 | K(x,y * z) = v6. [para(14079(a,1),18064(a,1,2))]. given #16407 (H,wt=19): 18101 K(x * T(y,a(z,u,w)),v5) != v6 | K(x * y,v5) = v6. [para(14079(a,1),18076(a,1,1))]. given #16408 (H,wt=19): 18123 K(x,K(y,z) * (u * w)) = K(x,u * (w * K(y,z))). [hyper(16827,a,18071,a),flip(a)]. given #16409 (H,wt=19): 18135 T(x,K(y,z) * (u * w)) = T(x,u * (w * K(y,z))). [para(6586(a,1),18111(a,1,2)),flip(a)]. given #16410 (H,wt=19): 18138 T(x,K(y,z \ (u \ w))) = T(x,K(y,w \ (u * z))). [hyper(9322,a,18052,a),flip(a)]. given #16411 (H,wt=19): 18141 K(x,K(y,z) * (u * w)) = K(x,u * (w * K(z,y))). [hyper(16281,a,18066,a)]. given #16412 (H,wt=19): 18142 K(x,(y * z) * K(u,w)) = K(x,y * (K(u,w) * z)). [hyper(236,a,16630,a,b,18066,a)]. given #16413 (H,wt=19): 18147 K(K(x,y) * (z * u),w) = K(z * (u * K(y,x)),w). [hyper(16367,a,18077,a)]. given #16414 (H,wt=19): 18148 K(K(x,y) * (z * u),w) = K(z * (u * K(x,y)),w). [hyper(16184,a,18077,a)]. given #16415 (H,wt=19): 18149 K((x * y) * K(z,u),w) = K(x * (y * K(u,z)),w). [hyper(15706,a,18077,a)]. given #16416 (H,wt=19): 18151 T(x,y / L(z,u,K(w,v5))) != v6 | T(x,y / z) = v6. [para(14670(a,2),18093(a,1,2,2))]. given #16417 (H,wt=16): 18175 T(x,y / L(z,u,K(w,v5))) = T(x,y / z). [hyper(18151,a,xx),flip(a)]. given #16418 (H,wt=19): 18156 K(x,K(y,z) * (u * w)) = K(x,u * (K(y,z) * w)). [hyper(236,a,16630,a,b,18123,a)]. given #16419 (H,wt=19): 18163 K(x,K(y,z) * (u * w)) = K(x,u * (K(z,y) * w)). [hyper(236,a,16630,a,b,18141,a)]. given #16420 (H,wt=17): 18178 K(x,y * (K(z,y) * u)) = K(x,T(y,z) * u). [para(4906(a,1),18163(a,1,2)),flip(a)]. given #16421 (H,wt=17): 18183 K(x,T(y \ z,y) * u) = K(x,(z / y) * u). [para(5571(a,1),18178(a,1,2)),flip(a)]. given #16422 (H,wt=19): 18164 K(x,y * (z * K(u,w))) = K(x,y * (z * K(w,u))). [hyper(236,a,18123,a(flip),b,18141,a(flip))]. given #16423 (H,wt=19): 18170 K(x * (y * K(z,u)),w) = K(x * (y * K(u,z)),w). [hyper(236,a,18147,a(flip),b,18148,a(flip))]. given #16424 (H,wt=19): 18177 K(x,K(y,z) * ((u \ K(z,y)) * w)) = K(x,u \ w). [hyper(236,a,17904,a(flip),b,18156,a)]. given #16425 (H,wt=19): 18187 K(x,(((y \ z) \ z) \ z) * u) = K(x,(z / y) * u). [para(4108(a,1),18183(a,1,2,1))]. given #16426 (H,wt=17): 18196 K(x,T(y \ z,z) * u) = K(x,(z / y) * u). [hyper(236,a,13056,a(flip),b,18187,a(flip)),flip(a)]. given #16427 (H,wt=17): 18197 K(x,(y / (y / z)) * u) = K(x,T(z,y) * u). [para(65(a,1),18196(a,1,2,1,1)),flip(a)]. given #16428 (H,wt=20): 18114 K(K(x,L(y,z,u)) * w,v5) = v5 / T(v5,K(x,y) * w). [para(18044(a,1),4826(a,2,2))]. given #16429 (H,wt=20): 18117 T(x,y * (L(z,u,K(w,v5)) \ v6)) = T(x,y * (z \ v6)). [para(17797(a,1),18056(a,1,2,2))]. given #16430 (H,wt=20): 18121 K(x,y * (z \ L(u,w,K(v5,v6)))) = K(x,y * (z \ u)). [para(14687(a,1),18067(a,1,2,2))]. given #16431 (H,wt=20): 18129 K(x * (y / T(z,a(u,w,v5))),v6) = K(x * (y / z),v6). [para(6197(a,1),18083(a,1,1,2)),flip(a)]. given #16432 (H,wt=20): 18166 K(x,y * (z * K(u,z))) != w | K(x,y * T(z,u)) = w. [para(18141(a,1),16243(a,1))]. given #16433 (H,wt=21): 18046 T(x,y \ (a(z,u,w) * v5)) = T(x,y \ (v5 * a(z,u,w))). [para(14857(a,1),18041(a,1,2))]. given #16434 (H,wt=21): 18051 T((K(x,y) * z) * T(u,z),K(x,y)) = u * (z * K(x,y)). [hyper(236,a,15437,a(flip),b,18043,a(flip))]. given #16435 (H,wt=21): 18073 K(x,y * (z / a(u,w,v5))) = K(x,y * (a(u,w,v5) \ z)). [para(6448(a,1),18068(a,1,2)),flip(a)]. given #16436 (H,wt=21): 18074 K(x,y / (a(z,u,w) * v5)) = K(x,y / (v5 * a(z,u,w))). [para(10448(a,1),18068(a,1,2))]. given #16437 (H,wt=21): 18087 K(x,(a(y,z,u) * w) \ v5) = K(x,(w * a(y,z,u)) \ v5). [para(14758(a,1),18070(a,1,2,1))]. given #16438 (H,wt=21): 18092 T(x,K(y,L(z,u,w)) * v5) != v6 | T(x,K(y,z) * v5) = v6. [para(14656(a,1),18039(a,1,2))]. given #16439 (H,wt=21): 18107 K(x,K(y,L(z,u,w)) * v5) != v6 | K(x,K(y,z) * v5) = v6. [para(14656(a,1),18100(a,1,2))]. given #16440 (H,wt=21): 18110 K(K(x,L(y,z,u)) * w,v5) != v6 | K(K(x,y) * w,v5) = v6. [para(14656(a,1),18104(a,1,1))]. given #16441 (H,wt=21): 18126 K(x,K(y,L(z,u,w)) * v5) != v6 | K(x,v5 * K(z,y)) = v6. [para(18071(a,2),16361(a,1))]. given #16442 (H,wt=21): 18143 K(x,(y * (z \ 1)) * K(u,w)) = K(x,y * (z \ K(u,w))). [para(14046(a,1),18066(a,2,2,2))]. given #16443 (H,wt=21): 18146 K(x * ((y / x) * K(z,u)),w) = K(K(u,z) * y,T(w,x)). [hyper(17265,a,18077,a),flip(a)]. given #16444 (H,wt=21): 18153 K(x,y * T(z,L(u,w,v5))) != v6 | K(x,y * T(z,u)) = v6. [para(14361(a,1),18097(a,1,2,2))]. given #16445 (H,wt=21): 18158 K(x,K(y,z) * (u * (w * y))) = K(x,u * (w * T(y,z))). [para(6201(a,1),18123(a,2,2,2))]. given #16446 (H,wt=21): 18160 T(x,y * ((z / y) * K(u,w))) = T(x,K(u,w) * T(z,y)). [hyper(16411,a,18135,a),flip(a)]. given #16447 (H,wt=21): 18161 T(x,K(y,z) * (u * (w \ T(z,y)))) = T(x,u * (w \ z)). [para(14430(a,1),18135(a,2,2,2))]. given #16448 (H,wt=21): 18162 T(x,K(y,z) * (u * (w \ y))) = T(x,u * (w \ T(y,z))). [para(14432(a,1),18135(a,2,2,2))]. given #16449 (H,wt=21): 18165 K(x,K(y,z) * (u * (w * z))) = K(x,u * (w * T(z,y))). [para(6201(a,1),18141(a,2,2,2))]. given #16450 (H,wt=21): 18172 K(K(x,y) * (z * (u / y)),w) = K(z * (u / T(y,x)),w). [para(7555(a,1),18148(a,2,1,2))]. given #16451 (H,wt=21): 18173 K(K(x,y) * (z * (u \ 1)),w) = K(z * (u \ K(x,y)),w). [para(14046(a,1),18148(a,2,1,2))]. given #16452 (H,wt=21): 18179 K(x,K(y,z) * (u * (y \ w))) = K(x,u * (T(y,z) \ w)). [para(5204(a,1),18163(a,2,2,2))]. given #16453 (H,wt=21): 18188 K(x,y * ((z / u) * K(w,z))) = K(x,y * (T(z,w) / u)). [hyper(16732,a,18164,a),flip(a)]. given #16454 (H,wt=21): 18189 K(x,y * (z * K(u,u \ w))) = K(x,y * (z * K(w,u))). [hyper(236,a,13184,a(flip),b,18164,a)]. given #16455 (H,wt=21): 18190 K(x,y * ((z / u) * K(u,w))) = K(x,y * (z / T(u,w))). [para(7555(a,1),18164(a,1,2,2)),flip(a)]. given #16456 (H,wt=21): 18191 K(x,y * ((z \ u) * K(w,u))) = K(x,y * (z \ T(u,w))). [para(14432(a,1),18164(a,1,2,2)),flip(a)]. given #16457 (H,wt=21): 18192 K((x * K(y,z)) * T(u,x),w) = K(u * (x * K(z,y)),w). [hyper(236,a,16741,a,b,18170,a),flip(a)]. given #16458 (H,wt=21): 18193 K(x * ((y / T(z,u)) * K(u,z)),w) = K(x * (y / z),w). [para(6197(a,1),18170(a,1,1,2)),flip(a)]. given #16459 (H,wt=19): 18221 K(x * (y / T(T(z,u),u)),w) = K(x * (y / z),w). [para(7629(a,1),18193(a,1,1,2))]. given #16460 (H,wt=21): 18194 K(x * ((y / z) * K(z,u)),w) = K(x * (y / T(z,u)),w). [para(7555(a,1),18170(a,1,1,2)),flip(a)]. given #16461 (H,wt=21): 18195 K(x * ((y \ z) * K(u,z)),w) = K(x * (y \ T(z,u)),w). [para(14432(a,1),18170(a,1,1,2)),flip(a)]. given #16462 (H,wt=21): 18204 K(K(L(x,y,z),u) * w,v5) != v6 | K(K(x,u) * w,v5) = v6. [para(11471(a,1),18110(a,1,1,1))]. given #16463 (H,wt=18): 18224 K(x * K(L(y,z,u),w),v5) = K(K(y,w) * x,v5). [hyper(18204,a,16152,a),flip(a)]. given #16464 (H,wt=21): 18208 T(x,K(y,z) * (u * (w \ z))) = T(x,u * (w \ T(z,y))). [hyper(15799,a,18162,a)]. given #16465 (H,wt=21): 18209 K(x,(y \ K(z,u)) * (w * T(z,u))) = K(x,y \ (w * z)). [hyper(236,a,18177,a(flip),b,18165,a(flip))]. given #16466 (H,wt=21): 18211 K(x,y * ((z \ u) * K(z,w))) = K(x,y * (T(z,w) \ u)). [hyper(236,a,18123,a(flip),b,18179,a(flip)),flip(a)]. given #16467 (H,wt=21): 18216 K(x,y * (K(z,u) * (u / w))) = K(x,y * (T(u,z) / w)). [hyper(16688,a,18188,a)]. given #16468 (H,wt=21): 18217 K(x,y * (z * K(u * w,u))) = K(x,y * (z * K(u,w))). [para(13(a,1),18189(a,1,2,2,2,2)),flip(a)]. given #16469 (H,wt=21): 18219 K(x,y * (K(z,u) * (w / z))) = K(x,y * (w / T(z,u))). [hyper(16688,a,18190,a)]. given #16470 (H,wt=21): 18222 K(x * (T(T(y,z),z) \ u),w) = K(x * (T(u,y) / y),w). [hyper(13218,a,18221,a)]. given #16471 (H,wt=19): 18230 K(x * (T(T(y,z),z) \ u),w) = K(x * (y \ u),w). [hyper(236,a,13214,a(flip),b,18222,a)]. given #16472 (H,wt=21): 18223 K(x * (K(y,z) * (u / y)),w) = K(x * (u / T(y,z)),w). [hyper(16691,a,18194,a)]. given #16473 (H,wt=21): 18226 K(x * K(y,L(z,u,w)),v5) != v6 | K(K(z,y) * x,v5) = v6. [para(16266(a,1),18204(a,1))]. given #16474 (H,wt=21): 18228 K(x,y * ((z * (u / z)) \ w)) = K(x,y * (T(u,z) \ w)). [hyper(236,a,16788,a,b,18211,a(flip)),flip(a)]. given #16475 (H,wt=21): 18231 K(x * (T(y \ z,y) \ u),w) = K(x * ((z / y) \ u),w). [para(121(a,1),18230(a,1,1,2,1,1))]. given #16476 (H,wt=21): 18234 K(x,y * (T(z * u,u) \ w)) = K(x,y * ((u * z) \ w)). [para(15(a,1),18228(a,1,2,2,1,2)),flip(a)]. given #16477 (H,wt=19): 18236 K(x,y * (z / (u * z))) = K(x,y * ((z * u) \ z)). [hyper(236,a,15753,a(flip),b,18234,a(flip)),flip(a)]. given #16478 (H,wt=11): 18238 K(x,y * (z / (y * z))) = 1. [hyper(236,a,7040,a(flip),b,18236,a)]. given #16479 (H,wt=11): 18239 T(x,y * (z / (y * z))) = x. [hyper(37,a,18238,a)]. given #16480 (H,wt=15): 18237 K(x,y * (z / (x * z))) = K(x,x \ y). [hyper(236,a,17378,a(flip),b,18236,a)]. given #16481 (H,wt=17): 18244 T(x * (y / (x * y)),z) = x * (y / (x * y)). [hyper(35,a,18239,a)]. given #16482 (H,wt=19): 18247 K(x / y,(x / y) \ z) = K(x / y,z * (y / x)). [para(16(a,1),18237(a,1,2,2,2)),flip(a)]. given #16483 (H,wt=21): 18250 T(x * ((x \ y) / y),z) = x * ((x \ y) / (x * (x \ y))). [para(14(a,1),18244(a,1,1,2,2))]. given #16484 (H,wt=17): 18252 T(x * ((x \ y) / y),z) = x * ((x \ y) / y). [para(14(a,1),18250(a,2,2,2))]. given #16485 (H,wt=19): 18253 (x \ (((1 / x) \ y) / y)) * x = ((1 / x) \ y) / y. [hyper(936,a,18252,a)]. given #16486 (H,wt=22): 18095 K(x,(y * z) * K(u,w)) != v5 | K(x,y * (z * K(u,w))) = v5. [para(91(a,1),18064(a,1,2))]. given #16487 (H,wt=22): 18098 K(x,(K(y,z) * u) * w) != v5 | K(x,K(y,z) * (u * w)) = v5. [para(13991(a,1),18064(a,1,2))]. given #16488 (H,wt=22): 18102 K((K(x,y) * z) * u,w) != v5 | K(K(x,y) * (z * u),w) = v5. [para(13991(a,1),18076(a,1,1))]. given #16489 (H,wt=22): 18103 K(K(x,y) * (z * u),w) != v5 | K((K(x,y) * z) * u,w) = v5. [para(14657(a,1),18076(a,1,1))]. given #16490 (H,wt=19): 18256 K((K(x,y) * z) * u,w) = K(z * (u * K(y,x)),w). [hyper(18103,a,18147,a)]. given #16491 (H,wt=19): 18257 K((x * K(y,z)) * u,w) = K(x * (u * K(z,y)),w). [hyper(16735,a,18256,a)]. given #16492 (H,wt=19): 18261 K((K(x,y) / z) \ u,w) = K(z * (u * K(x,y)),w). [hyper(14293,a,18257,a)]. given #16493 (H,wt=21): 18258 K((x \ y) * (z * K(x,u)),w) = K((T(x,u) \ y) * z,w). [para(5204(a,1),18256(a,1,1,1)),flip(a)]. given #16494 (H,wt=21): 18262 K((x * K(y,z)) * T(u,x),w) = K((u * K(y,z)) * x,w). [hyper(236,a,18192,a,b,18257,a),flip(a)]. given #16495 (H,wt=21): 18263 K((x \ y) * (z * K(u,x)),w) = K((T(x,u) \ y) * z,w). [hyper(236,a,18170,a,b,18258,a(flip)),flip(a)]. given #16496 (H,wt=21): 18264 K(K(x,y) * ((x \ z) * u),w) = K((T(x,y) \ z) * u,w). [hyper(236,a,18148,a,b,18258,a(flip)),flip(a)]. given #16497 (H,wt=22): 18105 T(x,(y * z) * K(u,w)) != v5 | T(x,y * (z * K(u,w))) = v5. [para(14980(a,1),18091(a,1,2))]. given #16498 (H,wt=19): 18266 T(x,y * (z * K(u,y * z))) = T(x,T(y * z,u)). [hyper(18105,a,8154,a)]. given #16499 (H,wt=22): 18109 K(x,y * T(a(z,u,w),v5)) != v6 | K(x,y * a(z,u,w)) = v6. [para(17844(a,1),18100(a,1,2))]. given #16500 (H,wt=22): 18120 K(x,y * (z * (u * a(w,v5,K(v6,v7))))) = K(x,y * (z * u)). [para(12126(a,1),18067(a,1,2,2))]. given #16501 (H,wt=22): 18124 K(x,K(y,L(z,u,w)) * v5) = v6 / (K(K(y,z) * v5,x) * v6). [hyper(236,a,5266,a,b,18071,a)]. given #16502 (H,wt=22): 18127 K(x,K(y,z) * (u * w)) != v5 | K(x,u * (w * K(y,z))) = v5. [para(18071(a,1),16827(a,1))]. given #16503 (H,wt=22): 18139 T(x,K(y,z \ (u \ w))) != v5 | T(x,K(y,w \ (u * z))) = v5. [para(18052(a,1),9322(a,1))]. given #16504 (H,wt=22): 18140 T(x,K(y,(z * u) \ (w * u))) != v5 | T(x,K(y,z \ w)) = v5. [para(18061(a,2),16306(a,1))]. given #16505 (H,wt=19): 18272 T(x,K(y,z \ (u \ (w * z)))) = T(x,K(y,u \ w)). [hyper(18140,a,18052,a),flip(a)]. given #16506 (H,wt=21): 18273 K(x,K(y,z \ (u \ (w * z)))) = x \ T(x,K(y,u \ w)). [hyper(72,a,18272,a(flip),b,4887,a(flip)),flip(a)]. given #16507 (H,wt=19): 18274 K(x,K(y,z \ (u \ (w * z)))) = K(x,K(y,u \ w)). [hyper(236,a,4829,a,b,18273,a)]. given #16508 (H,wt=19): 18275 K(x,K(y,z \ (u \ w))) = K(x,K(y,u \ (w / z))). [para(16(a,1),18274(a,1,2,2,2,2))]. given #16509 (H,wt=19): 18276 K(x,K(y,z \ (u \ w))) = K(x,K(y,u \ (z \ w))). [hyper(236,a,17045,a(flip),b,18275,a)]. given #16510 (H,wt=22): 18144 K(x,y * (z * K(u,w))) != v5 | K(x,K(u,w) * (y * z)) = v5. [para(18066(a,1),16182(a,1))]. given #16511 (H,wt=22): 18145 K(x,y * (z * K(u,w))) != v5 | K(x,K(w,u) * (y * z)) = v5. [para(18066(a,1),16281(a,1))]. given #16512 (H,wt=22): 18150 K(x * (y * K(z,u)),w) != v5 | K(K(z,u) * (x * y),w) = v5. [para(18077(a,1),16184(a,1))]. given #16513 (H,wt=22): 18159 K(x,K(y,z) * (u * w)) != v5 | K(x,u * (K(y,z) * w)) = v5. [para(18123(a,2),16688(a,1))]. given #16514 (H,wt=22): 18167 K(x,y * (K(z,u) * w)) != v5 | K(x,K(z,u) * (y * w)) = v5. [para(18142(a,1),16182(a,1))]. given #16515 (H,wt=22): 18171 K(x * (y * K(z,L(u,w,v5))),v6) = K(K(z,u) * (x * y),v6). [hyper(236,a,18084,a(flip),b,18148,a(flip))]. given #16516 (H,wt=22): 18180 K(x,K(y,z) * (u * w)) != v5 | K(x,u * (w * K(z,y))) = v5. [para(18163(a,2),16677(a,1))]. given #16517 (H,wt=22): 18203 T(x,(K(y,z) * u) * w) != v5 | T(x,K(y,z) * (u * w)) = v5. [para(15367(a,1),18092(a,1,2))]. given #16518 (H,wt=19): 18279 T(x,(y * K(z,u)) * w) = T(x,K(z,u) * (y * w)). [hyper(18203,a,16616,a),flip(a)]. given #16519 (H,wt=22): 18254 (x \ (((1 / x) \ y) / y)) \ (((1 / x) \ y) / y) != z | z = x. [para(18253(a,1),283(a,1,2))]. given #16520 (H,wt=22): 18260 K(x * (y * K(z,u)),w) != v5 | K((x * K(u,z)) * y,w) = v5. [para(18256(a,1),16735(a,1))]. given #16521 (H,wt=22): 18268 K(x,y * (z * K(u,L(w,v5,v6)))) = K(x,y * (z * K(u,w))). [para(11482(a,1),18120(a,1,2,2,2))]. given #16522 (H,wt=22): 18270 K(x,y * (z * K(u,w))) != v5 | K(x,y * (z * K(w,u))) = v5. [para(18141(a,1),18127(a,1))]. given #16523 (H,wt=22): 18271 T(x,K(y,(z \ u) \ w)) != v5 | T(x,K(y,u \ (z * w))) = v5. [para(9297(a,1),18139(a,1))]. given #16524 (H,wt=22): 18278 K(x * (K(y,L(z,u,w)) * v5),v6) = K(K(y,z) * (x * v5),v6). [hyper(16691,a,18171,a)]. given #16525 (H,wt=22): 18280 T(x,(y \ K(z,u)) \ w) != v5 | T(x,K(u,z) * (y * w)) = v5. [para(14522(a,2),18203(a,1))]. given #16526 (H,wt=22): 18281 T(x,(y * K(z,u)) * w) != v5 | T(x,K(z,u) * (y * w)) = v5. [para(16616(a,1),18203(a,1))]. given #16527 (H,wt=22): 18287 T(x,y / (z \ K(u,w))) != v5 | T(x,K(w,u) * (y * z)) = v5. [para(18003(a,2),18281(a,1))]. given #16528 (H,wt=23): 17722 K(x,y) * ((a(z,u,w) * y) * x) = (a(z,u,w) * y) * T(x,y). [para(17681(a,1),8250(a,1,1))]. given #16529 (H,wt=23): 17730 K((K(x,T(y,z)) * u) \ (z * y),w) = K(u \ (z * T(y,x)),w). [hyper(236,a,15047,a(flip),b,17691,a(flip))]. given #16530 (H,wt=23): 17762 K(x,K(y,z)) * K(x,z * L(y,u,w)) = K(x,L(y,u,w) * z). [para(17633(a,1),13238(a,1,1))]. given #16531 (H,wt=23): 17811 L(K(x,a(y,z,u) \ w),v5,v6) = K(x,L(w / a(y,z,u),v5,v6)). [para(17714(a,1),11470(a,1,1))]. given #16532 (H,wt=23): 17812 L(x,y,K(z \ u,z) * (w * u)) = L(x,y,w * ((z \ u) * z)). [para(10659(a,1),17744(a,2,3))]. given #16533 (H,wt=21): 18291 L(x,y,K(z,u) * (w * z)) = L(x,y,w * ((u \ z) * u)). [hyper(236,a,13544,a(flip),b,17812,a(flip)),flip(a)]. given #16534 (H,wt=19): 18292 L(x,y,z * ((u \ w) * u)) = L(x,y,z * T(w,u)). [hyper(236,a,17745,a(flip),b,18291,a(flip))]. given #16535 (H,wt=23): 17813 L(x,y,T(z * K(u,w),u \ z)) = L(x,y,T(u,w) / (u / z)). [hyper(236,a,14947,a(flip),b,17746,a(flip))]. given #16536 (H,wt=21): 18293 L(x,y,T(z,u) / (z / w)) = L(x,y,T(z,u) * (w / z)). [hyper(236,a,16444,a(flip),b,17813,a(flip))]. given #16537 (H,wt=23): 17863 K(x,y) * (K(z,u) * (w * K(y,x))) = T(K(z,u) * w,K(x,y)). [para(17699(a,1),7984(a,1,2))]. given #16538 (H,wt=23): 17879 L(T(x,y),z,u) * K(w,T(v5,x)) = K(w,v5) * L(T(x,y),z,u). [para(16164(a,1),17768(a,1,2))]. given #16539 (H,wt=23): 17883 (a(x,y,y \ 1) \ z) \ T(z,u) = K(z,u) * a(x,y,y \ 1). [para(13896(a,1),17806(a,1,1))]. given #16540 (H,wt=23): 17892 K(x,K(y,z)) * (u * (w * v5)) = u * (w * (v5 * K(x,K(y,z)))). [para(17639(a,1),17849(a,2,2))]. given #16541 (H,wt=23): 17893 (x * (y * K(z,K(u,w)))) * v5 = K(z,K(u,w)) * ((x * y) * v5). [para(17849(a,1),17668(a,1,1))]. given #16542 (H,wt=23): 17896 K(x,y) \ (z * K(x,T(y,u))) = T(z * K(x,K(y,u)),K(x,y)). [hyper(394,a,16386,a(flip),b,17855,a),flip(a)]. given #16543 (H,wt=23): 17901 K((x * y) / (K(z,u) * y),w) = K(y \ (K(u,z) * (y * x)),w). [hyper(236,a,16831,a,b,17859,a(flip)),flip(a)]. given #16544 (H,wt=23): 17924 K(x,K(y,z)) * (u * (w * K(x,y))) = u * (w * K(x,T(y,z))). [para(16386(a,1),17890(a,2,2))]. given #16545 (H,wt=21): 18299 T(x,y * (z * K(u,T(w,v5)))) = T(x,y * (z * K(u,w))). [para(17924(a,1),16610(a,1,2))]. given #16546 (H,wt=21): 18300 T(x,y * (z * K(u,T(w,v5)))) = T(x,y * (K(u,w) * z)). [hyper(16679,a,18299,a(flip)),flip(a)]. given #16547 (H,wt=22): 18301 T(x,K(y,L(z,u,w)) * (w * u)) = T(x,w * (K(y,z) * u)). [para(11495(a,1),18300(a,1,2))]. given #16548 (H,wt=21): 18302 T(x,y * (z * K(u,T(w,v5)))) = T(x,y * (K(w,u) * z)). [hyper(236,a,16725,a(flip),b,18301,a(flip)),flip(a)]. given #16549 (H,wt=21): 18303 T(x,y * (K(z,u) * (z \ w))) = T(x,y * (T(z,u) \ w)). [para(8578(a,1),18302(a,1,2,2)),flip(a)]. given #16550 (H,wt=23): 17925 x \ (y * (K(z,K(u,w)) * v5)) = (x \ (y * v5)) * K(z,K(u,w)). [para(17890(a,1),17889(a,1,2))]. given #16551 (H,wt=23): 17927 T(x * K(y,K(z,u)),w) * v5 = T(x,w) * (v5 * K(y,K(z,u))). [para(16771(a,2),17891(a,1,1))]. given #16552 (H,wt=23): 17944 (x * (y * K(z,K(u,w)))) \ v5 = ((x * y) \ v5) * K(z,K(u,w)). [para(17639(a,1),17937(a,1,1))]. given #16553 (H,wt=23): 17947 (x * (K(y,K(z,u)) * w)) \ v5 = K(y,K(z,u)) * ((x * w) \ v5). [para(17890(a,1),17945(a,1,1))]. given #16554 (H,wt=23): 17951 K(x,y \ ((K(z,u) * w) * v5)) = K(x,y \ ((w * K(z,u)) * v5)). [para(11050(a,1),17949(a,1,2,2))]. given #16555 (H,wt=23): 17987 a(x \ y,z,K(u,w)) * K(u,y / x) = K(u,L(y / x,z,w)). [para(17984(a,2),11513(a,1,1))]. given #16556 (H,wt=23): 17994 a(x,y,K(z,L(u / w,v5,v6))) = a(x,y,K(z,L(w \ u,v5,v6))). [para(184(a,1),17990(a,1,3,2)),flip(a)]. given #16557 (H,wt=23): 18005 K(x,L(y,(z \ u) \ 1,((z \ u) \ 1) \ z)) = K(x,L(y,z,u)). [para(14(a,1),17884(a,2,2,3))]. given #16558 (H,wt=21): 18308 K(x,L(y,(z \ u) \ 1,z * (z \ u))) = K(x,L(y,z,u)). [hyper(17827,a,18005,a)]. given #16559 (H,wt=17): 18309 K(x,L(y,(z \ u) \ 1,u)) = K(x,L(y,z,u)). [para(14(a,1),18308(a,1,2,3))]. given #16560 (H,wt=23): 18008 T(T(x,K(y,z)),z) * (y / x) = T(T(x,z),x \ y) * (x \ y). [hyper(236,a,9504,a(flip),b,17926,a(flip))]. given #16561 (H,wt=21): 18310 T(T(x,y),x \ z) * (x \ z) = T(x,T(y,z)) * (z / x). [para(7995(a,1),18008(a,1,1)),flip(a)]. given #16562 (H,wt=23): 18010 K(x,y / (T(z,T(u,w)) \ v5)) = K(x,y * ((z \ v5) \ K(z,u))). [hyper(14545,a,17934,a)]. given #16563 (H,wt=23): 18089 L(x,y,K(z,u)) * K(w \ x,w) = (w \ L(x,y,K(z,u))) * w. [para(18079(a,1),249(a,1,2))]. given #16564 (H,wt=23): 18090 K(x,y / ((K(z,u) \ w) \ v5)) = K(x,y / (w \ (K(z,u) * v5))). [para(450(a,1),18088(a,1,2,2)),flip(a)]. given #16565 (H,wt=23): 18113 T(x,K(y,(z * u) \ w) * v5) = T(x,K(y,u \ (z \ w)) * v5). [para(227(a,1),18044(a,1,2,1,2))]. given #16566 (H,wt=23): 18116 T(x,K(y,(z / u) / w) * v5) = T(x,K(y,z / (w * u)) * v5). [para(15354(a,1),18044(a,1,2,1)),flip(a)]. given #16567 (H,wt=23): 18118 K(x,y * ((z * u) * K(w,v5))) = K(x,y * (z * (u * K(w,v5)))). [para(91(a,1),18067(a,1,2,2))]. given #16568 (H,wt=23): 18130 K(K(x,(y * z) \ u) * w,v5) = K(K(x,z \ (y \ u)) * w,v5). [para(227(a,1),18084(a,1,1,1,2))]. given #16569 (H,wt=23): 18131 K(K((x \ y) \ z,u) * w,v5) = K(K(y \ (x * z),u) * w,v5). [para(11544(a,1),18084(a,1,1,1)),flip(a)]. given #16570 (H,wt=23): 18133 K(x,y * T(z,(u * w) \ v5)) = K(x,y * T(z,w \ (u \ v5))). [para(227(a,1),18085(a,1,2,2,2))]. given #16571 (H,wt=23): 18134 K(x,y * T(z,(u \ w) \ v5)) = K(x,y * T(z,w \ (u * v5))). [para(450(a,1),18085(a,1,2,2,2)),flip(a)]. given #16572 (H,wt=23): 18137 K(x,y * K(z,(u * w) \ v5)) = K(x,y * K(z,w \ (u \ v5))). [para(227(a,1),18119(a,1,2,2,2))]. given #16573 (H,wt=23): 18155 K(x,y * (z * K(u * K(w,v5),v6))) = K(x,K(u,v6) * (y * z)). [hyper(17311,a,18123,a),flip(a)]. given #16574 (H,wt=23): 18176 K(x,K(y,z \ u) * (w * v5)) = K(x,w * (K(y,u / z) * v5)). [hyper(236,a,16785,a,b,18156,a)]. given #16575 (H,wt=21): 18318 K(x,y * (K(z,1 / u) * w)) = K(x,(y * w) * K(u,z)). [hyper(16363,a,18176,a),flip(a)]. given #16576 (H,wt=21): 18319 K(x,y * (K(z,1 / u) * w)) = K(x,y * (w * K(u,z))). [hyper(236,a,18066,a(flip),b,18318,a)]. given #16577 (H,wt=21): 18320 K(x,y * (K(z,u \ 1) * w)) = K(x,y * (w * K(u,z))). [hyper(16826,a,18319,a)]. given #16578 (H,wt=23): 18185 K(x,L(y * (K(z,y) * u),w,v5)) = L(K(x,T(y,z) * u),w,v5). [para(18178(a,1),11470(a,1,1)),flip(a)]. given #16579 (H,wt=23): 18205 K(x,(y * (z \ 1)) * K(u,w)) = K(x,y * (z \ K(u \ 1,w))). [hyper(16416,a,18143,a)]. given #16580 (H,wt=23): 18215 K(x,y * (K(z \ u,z) * (z / w))) = K(x,y * (T(z,u) / w)). [hyper(16796,a,18188,a)]. given #16581 (H,wt=23): 18218 K(x,y * (z \ (u * (w / u)))) = K(x,y * ((z \ w) * K(w,u))). [para(15624(a,1),18189(a,1,2,2))]. given #16582 (H,wt=21): 18324 K(x,y * (z \ (u * (w / u)))) = K(x,y * (z \ T(w,u))). [para(14432(a,1),18218(a,2,2,2))]. given #16583 (H,wt=21): 18325 K(x,y * (z \ T(u * w,w))) = K(x,y * (z \ (w * u))). [para(15(a,1),18324(a,1,2,2,2,2)),flip(a)]. given #16584 (H,wt=23): 18220 K((x * K(y,z)) * T(u,x),w) = K(u * ((x \ 1) \ K(z,y)),w). [hyper(236,a,14898,a,b,18192,a)]. given #16585 (H,wt=23): 18232 K(x * (y / T(z,T(u,w))),v5) = K(x * (K(z,u) * (y / z)),v5). [hyper(16759,a,18223,a),flip(a)]. given #16586 (H,wt=23): 18267 T(x,(y \ 1) * (z * K(u,y \ z))) = T(x,T((y \ 1) * z,u)). [para(14126(a,1),18266(a,1,2,2,2))]. given #16587 (H,wt=21): 18329 T(x,y \ (z * K(u,y \ z))) = T(x,T((y \ 1) * z,u)). [hyper(14260,a,18267,a)]. given #16588 (H,wt=21): 18330 T(x,(y \ z) * K(u,y \ z)) = T(x,T((y \ 1) * z,u)). [para(6485(a,1),18329(a,1,2))]. given #16589 (H,wt=17): 18331 T(x,T((y \ 1) * z,u)) = T(x,T(y \ z,u)). [hyper(8423,a,18330,a),flip(a)]. given #16590 (H,wt=23): 18283 T(x,K(y,z) * ((u / (y * z)) * w)) = T(x,(u / (z * y)) * w). [para(10448(a,1),18279(a,1,2,1)),flip(a)]. given #16591 (H,wt=23): 18284 T(x,K(y,z) * ((u \ (z * y)) * w)) = T(x,(u \ (y * z)) * w). [para(14857(a,1),18279(a,1,2,1)),flip(a)]. given #16592 (H,wt=23): 18294 T(K(x,K(y,z)) * u,K(x,y)) = K(x,T(y,z)) * (u * K(y,x)). [hyper(10506,a,17863,a),flip(a)]. given #16593 (H,wt=23): 18295 K(x * L(T(y,z),u,w),T(v5,y)) = K(L(T(y,z),u,w) * x,v5). [hyper(17,a,13404,a(flip),b,17879,a)]. given #16594 (H,wt=23): 18298 T(x * K(y,K(z,u)),K(y,z)) = K(z,y) * (x * K(y,T(z,u))). [hyper(5286,a,17896,a),flip(a)]. given #16595 (H,wt=23): 18304 T(x,(y \ (z \ u)) * K(z,u)) = T(x,(1 / y) * (T(z,u) \ u)). [hyper(236,a,15627,a(flip),b,18303,a(flip)),flip(a)]. given #16596 (H,wt=21): 18334 T(x,(y \ (z \ u)) * K(z,u)) = T(x,y \ (T(z,u) \ u)). [hyper(236,a,14239,a(flip),b,18304,a)]. given #16597 (H,wt=21): 18335 T(x,(y \ (z \ u)) * K(u,z)) = T(x,y \ (T(z,u) \ u)). [hyper(16358,a,18334,a)]. given #16598 (H,wt=23): 18313 T(x,K(y,(z / u) / w) * v5) = T(x,K(y,(w * u) \ z) * v5). [hyper(16747,a,18116,a(flip)),flip(a)]. given #16599 (H,wt=23): 18321 K(x,y * (z \ K(u,w \ 1))) = K(x,y * ((z \ 1) * K(w,u))). [hyper(16731,a,18320,a)]. given #16600 (H,wt=21): 18337 K(x,y * (z \ K(u,w \ 1))) = K(x,y * (z \ K(w,u))). [para(14046(a,1),18321(a,2,2,2))]. given #16601 (H,wt=23): 18322 K(x,L(y * (K(z,y) * u),w,v5)) = K(x,L(T(y,z) * u,w,v5)). [hyper(236,a,11470,a(flip),b,18185,a)]. given #16602 (H,wt=23): 18323 K(x,y * ((z * K(z \ u,z)) / w)) = K(x,y * (T(z,u) / w)). [para(17440(a,2),18215(a,1,2,2))]. given #16603 (H,wt=21): 18339 K(x,y * ((z / (z / u)) / w)) = K(x,y * (T(u,z) / w)). [para(4799(a,2),18323(a,1,2,2,1))]. given #16604 (H,wt=23): 18326 K(x,y * (z \ T(u * w,u \ 1))) = K(x,y * (z \ (w * u))). [hyper(236,a,13220,a,b,18325,a(flip)),flip(a)]. given #16605 (H,wt=23): 18336 T(x,K(y,(z / u) / w) * v5) = T(x,K(y,u \ (w \ z)) * v5). [hyper(236,a,18113,a(flip),b,18313,a)]. given #16606 (H,wt=23): 18340 K(x,y * (z \ (u / (u / w)))) = K(x,y * (T(w,u) / T(z,w))). [hyper(236,a,16808,a(flip),b,18339,a(flip)),flip(a)]. given #16607 (H,wt=21): 18342 K(x,y * (z \ (u / (u / w)))) = K(x,y * (z \ T(w,u))). [hyper(236,a,16809,a(flip),b,18340,a)]. given #16608 (H,wt=24): 17674 a(x,y,K(z,u)) * (w * (u / a(z,y,x))) = w * (a(z,y,x) \ u). [hyper(236,a,15209,a(flip),b,17661,a(flip)),flip(a)]. given #16609 (H,wt=24): 17689 (a(x,y,z) * u) * T(w,u * a(x,y,z)) = w * (a(x,y,z) * u). [hyper(236,a,13207,a(flip),b,17679,a(flip)),flip(a)]. given #16610 (H,wt=24): 17770 K(x,(y \ L(y,z,u)) / w) != v5 | K(x,w \ (y \ L(y,z,u))) = v5. [para(17742(a,1),7297(a,1))]. given #16611 (H,wt=24): 17823 K(x,L(T(y,z),u,(u * x) \ z)) = K(z / ((z / (u * x)) * u),y). [hyper(236,a,11542,a(flip),b,17782,a(flip))]. given #16612 (H,wt=24): 17839 T(a(x,y,z),T(u,w)) \ v5 = a(u,y,K(z,x)) * (a(x,y,z) \ v5). [para(17836(a,1),7325(a,1,1)),flip(a)]. given #16613 (H,wt=24): 17845 K(x,L(y,z,L(T(u,w),v5,v6))) != v7 | K(x,L(y,z,L(u,v5,v6))) = v7. [para(40(a,2),17783(a,1,2,3))]. given #16614 (H,wt=24): 17894 K(x,y * (z * (K(u,K(w,v5)) * v6))) != v7 | K(x,y * (z * v6)) = v7. [para(17850(a,1),16689(a,1,2,2))]. given #16615 (H,wt=24): 17963 K(x,L(y,z,a(u,w,v5))) != v6 | K(x,L(y,z,a(v5,w,u) \ 1)) = v6. [para(14949(a,1),17848(a,1))]. given #16616 (H,wt=24): 18106 K(x,(a(y,z,u) * w) \ v5) != v6 | K(x,(w * a(y,z,u)) \ v5) = v6. [para(11048(a,1),18100(a,1,2))]. given #16617 (H,wt=24): 18108 K(x,(y * a(z,u,w)) / v5) != v6 | K(x,(a(z,u,w) * y) / v5) = v6. [para(14807(a,1),18100(a,1,2))]. given #16618 (H,wt=24): 18112 T(x,K(y,L(z,u,w)) * v5) = v5 \ T(x * T(v5,K(z,y)),K(z,y)). [hyper(236,a,15654,a,b,18044,a)]. given #16619 (H,wt=24): 18125 K(x,K(y,z) * (u * (w * z))) = K(x,(u * w) * T(L(z,w,u),y)). [hyper(236,a,16298,a(flip),b,18071,a(flip))]. given #16620 (H,wt=24): 18132 K(x,y * T((z \ 1) * u,u)) = K(x,y * (L(u,z \ 1,z) / z)). [hyper(236,a,15763,a(flip),b,18085,a(flip))]. given #16621 (H,wt=24): 18152 T(x,y / (a(z,u,w) * v5)) != v6 | T(x,y / (v5 * a(z,u,w))) = v6. [para(15883(a,1),18093(a,1))]. given #16622 (H,wt=24): 18154 K(x,y * (z / a(u,w,v5))) != v6 | K(x,y * (a(u,w,v5) \ z)) = v6. [para(15751(a,1),18097(a,1))]. given #16623 (H,wt=24): 18168 K(x,(y * (z \ 1)) * K(u,w)) != v5 | K(x,y * (z \ K(u,w))) = v5. [para(18142(a,2),16731(a,1))]. given #16624 (H,wt=24): 18181 K(x,K(y,z) * (u * (w / y))) != v5 | K(x,u * (w / T(y,z))) = v5. [para(18163(a,2),16728(a,1))]. given #16625 (H,wt=24): 18186 K(x,(L(y,z \ 1,z) / z) * u) = K(x,T((z \ 1) * y,z) * u). [para(392(a,1),18183(a,1,2,1,1)),flip(a)]. given #16626 (H,wt=24): 18255 K(x * (K(y,z) * u),T(w,u)) != v5 | K(K(y,z) * (u * x),w) = v5. [para(16955(a,2),18102(a,1))]. given #16627 (H,wt=24): 18277 K(x,K(y,z \ (T(u,w) \ v5))) != v6 | K(x,K(y,u \ (z \ v5))) = v6. [para(18276(a,1),17085(a,1))]. given #16628 (H,wt=24): 18286 K((x * K(y,z)) * T(u,x),w) != v5 | K((u * K(y,z)) * x,w) = v5. [para(18192(a,2),18260(a,1))]. given #16629 (H,wt=24): 18311 K(x,y / (T(z,T(u,w)) \ v5)) != v6 | K(x,y / (T(z,u) \ v5)) = v6. [para(18010(a,2),14545(a,1))]. given #16630 (H,wt=24): 18327 K((x * K(y,z)) * T(u,x),w) != v5 | K(u * (x * K(z,y)),w) = v5. [para(18220(a,2),14899(a,1))]. given #16631 (H,wt=22): 18352 K(x * (y * K(z,u)),w) != v5 | K(x * (y * K(u,z)),w) = v5. [para(16741(a,1),18327(a,1))]. given #16632 (H,wt=22): 18353 K((x * K(y,z)) * u,w) != v5 | K(x * (u * K(z,y)),w) = v5. [para(18262(a,1),18327(a,1))]. given #16633 (H,wt=22): 18354 K((x * y) * K(z,u),w) != v5 | K(x * (y * K(u,z)),w) = v5. [para(18077(a,2),18352(a,1))]. given #16634 (H,wt=22): 18355 K(K(x,y) * (z * u),w) != v5 | K(z * (u * K(x,y)),w) = v5. [para(18147(a,2),18352(a,1))]. given #16635 (H,wt=22): 18356 K(K(x,y) * (z * u),w) != v5 | K(z * (u * K(y,x)),w) = v5. [para(18148(a,2),18352(a,1))]. given #16636 (H,wt=22): 18357 K((K(x,y) * z) * u,w) != v5 | K(z * (u * K(y,x)),w) = v5. [para(16658(a,2),18353(a,1))]. given #16637 (H,wt=24): 18328 K(x * (K(y,z) * (u / y)),w) != v5 | K(x * (u / T(y,z)),w) = v5. [para(18232(a,1),16813(a,1))]. given #16638 (H,wt=24): 18344 K(x,L(T(y,z),u,x \ (u \ z))) = K(z / ((z / (u * x)) * u),y). [hyper(14939,a,17823,a)]. given #16639 (H,wt=22): 18359 K(x / ((x / (y * z)) * y),u) = K(z,L(T(u,x),y,y \ x)). [hyper(236,a,14586,a(flip),b,18344,a(flip))]. given #16640 (H,wt=24): 18347 T(x,K(y,L(z,u,w)) * v5) = v5 \ T(x * T(v5,K(z,y)),K(y,z)). [para(7981(a,1),18112(a,2,2))]. given #16641 (H,wt=24): 18350 K(x,y * (z \ K(u \ 1,w))) != v5 | K(x,y * (z \ K(u,w))) = v5. [para(18205(a,1),18168(a,1))]. given #16642 (H,wt=24): 18351 K(x,y * ((z / u) * K(u,w))) != v5 | K(x,y * (z / T(u,w))) = v5. [para(18123(a,1),18181(a,1))]. given #16643 (H,wt=24): 18358 K(x * ((y / z) * K(z,u)),w) != v5 | K(x * (y / T(z,u)),w) = v5. [para(16660(a,1),18328(a,1))]. given #16644 (H,wt=24): 18362 K(K(x,y) * (z * (u / y)),w) != v5 | K(z * (u / T(y,x)),w) = v5. [para(18147(a,2),18358(a,1))]. given #16645 (H,wt=25): 17695 K(x,T(y \ z,K(u,w) \ y)) = K(x,(K(w,u) * z) / (K(w,u) * y)). [hyper(236,a,11635,a(flip),b,17652,a(flip))]. given #16646 (H,wt=25): 17715 K(x,T(T(a(y,z,u),w) * v5,v6)) = K(x,T(v5 * T(a(y,z,u),w),v6)). [hyper(236,a,16213,a(flip),b,17681,a(flip)),flip(a)]. given #16647 (H,wt=25): 17727 K(x,y) * T(z,a(u,w,v5) * K(x,y)) = T(z * K(x,y),a(u,w,v5)). [para(17681(a,1),17232(a,1,1,2)),flip(a)]. given #16648 (H,wt=25): 17736 K((x * K(y,z)) \ ((x * u) * K(y,z)),w) = K(u * K(x,u),T(w,x)). [hyper(16982,a,17692,a)]. given #16649 (H,wt=23): 18366 K((x * K(y,z)) \ ((x * u) * K(y,z)),w) = K(u,T(T(w,x),x)). [hyper(236,a,8085,a(flip),b,17736,a)]. given #16650 (H,wt=22): 18367 K((x * K(y,z)) \ ((x * u) * K(y,z)),w) != v5 | K(u,w) = v5. [para(18366(a,2),8174(a,1))]. given #16651 (H,wt=25): 17741 (L(K(x,y),z,u) * w) * K(v5,v6) = L(K(x,y),z,u) * (w * K(v5,v6)). [para(17694(a,1),471(a,1,1,1)),flip(a)]. given #16652 (H,wt=25): 17781 K(x,(L(K(y,z),u,w) \ v5) \ v6) = K(x,v5 \ (L(K(y,z),u,w) * v6)). [hyper(236,a,14570,a(flip),b,17732,a(flip))]. given #16653 (H,wt=25): 17824 K(x,L(T(y \ z,u),y,z \ u)) != w | K(x,u / ((u / z) * y)) = w. [para(17782(a,1),8408(a,1))]. given #16654 (H,wt=25): 17861 K(x,y) * (z * K(z * y,y \ 1)) = ((y \ K(y,x)) \ z) * (y \ 1). [hyper(236,a,10352,a(flip),b,17699,a(flip))]. given #16655 (H,wt=25): 17905 K(x,(y \ z) * (u \ K(w,w \ z))) = K(x,(y \ (w * (z / w))) / u). [para(15624(a,1),17869(a,1,2,1)),flip(a)]. given #16656 (H,wt=25): 18009 K(x,K(y,z)) * ((u \ K(x,z * y)) * w) = (u \ K(x,y * z)) * w. [para(17932(a,1),17668(a,1,1)),flip(a)]. given #16657 (H,wt=25): 18022 T(((x / y) * z) * y,K(x / y,y)) = ((y \ x) * z) * T(y,x / y). [para(121(a,1),18021(a,2,1,1))]. given #16658 (H,wt=25): 18023 x * L(x \ y,y,K(x \ z,u)) = y * a(u,z,K(z \ x,x \ y)). [para(12011(a,2),18018(a,2,2))]. given #16659 (H,wt=25): 18036 K(L(x,y,z),T(u,w \ (v5 * v6))) = K(x,L(T(u,(v6 \ w) \ v5),y,z)). [hyper(18033,a,11533,a)]. given #16660 (H,wt=25): 18086 K(x,y * ((z * K(u,T(w,v5))) / v5)) = K(x,y * (z / (K(w,u) * v5))). [para(15635(a,1),18069(a,1,2,2))]. given #16661 (H,wt=25): 18169 K(K(x,x \ y) * (z * (u * (y / x))),w) = K(z * (u * (x \ y)),w). [para(6448(a,1),18147(a,2,1,2))]. given #16662 (H,wt=23): 18377 K(K(x,y) * (z * (u * (y / x))),w) = K(z * (u * (x \ y)),w). [hyper(13393,a,18169,a)]. given #16663 (H,wt=25): 18199 K(x * ((K(y,T(z,u)) * w) / v5),v6) = K(x * (K(y,z) * (w / v5)),v6). [hyper(236,a,16908,a(flip),b,18129,a(flip))]. given #16664 (H,wt=23): 18379 K(x * ((K(y,z) * u) / w),v5) = K(x * (K(y,z) * (u / w)),v5). [para(118(a,1),18199(a,1,1,2,1,1,2))]. given #16665 (H,wt=25): 18207 T(x,K(y,z) * (u * (w \ T(z,v5)))) = T(x,u * (w \ T(T(z,v5),y))). [hyper(16749,a,18162,a)]. given #16666 (H,wt=19): 18380 T(x,y * (z \ T(T(u,w),w))) = T(x,y * (z \ u)). [hyper(236,a,18161,a(flip),b,18207,a(flip))]. given #16667 (H,wt=25): 18227 T(x,K(y,z) * (u * (w \ T(y,v5)))) = T(x,u * (w \ T(T(y,v5),z))). [hyper(16695,a,18208,a)]. given #16668 (H,wt=25): 18259 K(((x / (x / y)) \ z) * u,w) = K((y \ z) * (u * K(y \ x,y)),w). [para(5509(a,2),18256(a,1,1,1))]. given #16669 (H,wt=23): 18381 K((T(x,x \ y) \ z) * u,w) = K(((y / (y / x)) \ z) * u,w). [hyper(236,a,18263,a(flip),b,18259,a),flip(a)]. given #16670 (H,wt=25): 18269 K(x,K(y,L(z,u,w)) * (v5 * v6)) != v7 | K(x,v5 * (v6 * K(y,z))) = v7. [para(18071(a,2),18127(a,1))]. given #16671 (H,wt=22): 18383 K(x,(K(y,z) * u) * w) != v5 | K(x,u * (w * K(y,z))) = v5. [para(15367(a,1),18269(a,1,2))]. given #16672 (H,wt=19): 18384 K(x,(K(y,z) * u) * w) = K(x,u * (w * K(y,z))). [hyper(18383,a,xx),flip(a)]. given #16673 (H,wt=21): 18387 K(x,(K(y,z) * u) * (w \ 1)) = K(x,u * (w \ K(y,z))). [para(14046(a,1),18384(a,2,2,2))]. given #16674 (H,wt=19): 18388 K(x,(K(y,z) * u) / w) = K(x,u * (w \ K(y,z))). [hyper(14282,a,18387,a)]. given #16675 (H,wt=19): 18389 K(x,(K(y,z) * u) / w) = K(x,u / (w * K(z,y))). [hyper(236,a,16792,a,b,18388,a)]. given #16676 (H,wt=23): 18385 K(x,(y * (K(z,y) * u)) * w) = K(x,(y * u) * (w * K(z,y))). [para(5363(a,1),18384(a,1,2,1))]. given #16677 (H,wt=25): 18285 T(x,K(y,z) * ((u \ (y * z)) * w)) = T(x,(u \ (T(y,z) * z)) * w). [para(14958(a,1),18279(a,1,2,1)),flip(a)]. given #16678 (H,wt=25): 18288 x \ ((a(y,z,u) * w) * T(x,w)) = T(K(x,w) * (a(y,z,u) * w),x). [hyper(394,a,17722,a(flip),b,7189,a),flip(a)]. given #16679 (H,wt=25): 18315 K(x,y * ((z \ u) * (z * K(w,v5)))) = K(x,y * (K(w,v5) * T(u,z))). [hyper(236,a,16737,a(flip),b,18118,a(flip))]. given #16680 (H,wt=25): 18317 K(x,y * (z * K(u * K(w,v5),T(v6,v7)))) = K(x,(y * z) * K(u,v6)). [hyper(236,a,16701,a(flip),b,18155,a)]. given #16681 (H,wt=25): 18333 K(x * L(y * K(z,y),u,w),T(v5,y)) = K(L(T(y,z),u,w) * x,v5). [hyper(236,a,15790,a,b,18295,a(flip)),flip(a)]. given #16682 (H,wt=25): 18338 K(x,L(((y * z) / y) / u,w,v5)) = K(x,L(T(z,y) * (u \ 1),w,v5)). [hyper(14663,a,18322,a)]. given #16683 (H,wt=23): 18390 K(x,L(((y * z) / y) / u,w,v5)) = K(x,L(T(z,y) / u,w,v5)). [hyper(236,a,14400,a(flip),b,18338,a)]. given #16684 (H,wt=23): 18391 K(x,L((y * K(z,y)) / u,w,v5)) = K(x,L(T(y,z) / u,w,v5)). [para(4854(a,1),18390(a,1,2,1,1))]. given #16685 (H,wt=23): 18392 K(x,L(K(y,z) * (z / u),w,v5)) = K(x,L(T(z,y) / u,w,v5)). [para(17440(a,1),18391(a,1,2,1))]. given #16686 (H,wt=25): 18364 K(x,T(y \ z,K(u,w) \ y)) = K(x,(K(u,w) \ z) / (K(w,u) * y)). [para(5260(a,2),17695(a,2,2,1))]. given #16687 (H,wt=25): 18369 K(x,(L(K(y,z),u,w) * v5) \ v6) = K(x,v5 \ (L(K(z,y),u,w) * v6)). [para(6039(a,1),17781(a,1,2,1))]. given #16688 (H,wt=25): 18370 K(x,y) * (((y \ 1) \ z) * (y \ 1)) = ((y \ K(y,x)) \ z) * (y \ 1). [para(6012(a,2),17861(a,1,2))]. given #16689 (H,wt=25): 18372 K(x,y * z) * K(u \ K(x,z * y),u) = (u \ K(x,y * z)) * u. [hyper(236,a,13247,a(flip),b,18009,a(flip)),flip(a)]. given #16690 (H,wt=25): 18373 T(((x / y) * z) * y,K(x / y,y)) = ((y \ x) * z) * T(y,y \ x). [para(4119(a,1),18022(a,2,2))]. given #16691 (H,wt=25): 18375 x * L(x \ y,y,K(x \ z,u)) = y * a(y \ x,z,K(z \ x,u)). [para(14005(a,2),18023(a,2,2))]. given #16692 (H,wt=25): 18376 K(x,L(T(y,(z \ u) \ w),v5,v6)) = K(x,L(T(y,u \ (w * z)),v5,v6)). [hyper(11595,a,18036,a),flip(a)]. given #16693 (H,wt=25): 18393 K(x,T(y \ z,K(u,w) \ y)) = K(x,(K(u,w) \ z) / (K(u,w) \ y)). [para(5260(a,2),18364(a,2,2,2))]. given #16694 (H,wt=25): 18394 K(x,(y * L(K(z,u),w,v5)) \ v6) = K(x,y \ (L(K(u,z),w,v5) * v6)). [hyper(236,a,16647,a(flip),b,18369,a(flip)),flip(a)]. given #16695 (H,wt=25): 18396 T(((x / y) * z) * y,K(y,y \ x)) = ((y \ x) * z) * T(y,y \ x). [hyper(16378,a,18373,a)]. given #16696 (H,wt=23): 18399 T(((x / y) * z) * y,K(y,x)) = ((y \ x) * z) * T(y,y \ x). [hyper(9319,a,18396,a)]. given #16697 (H,wt=26): 17737 K((x * K(y,L(z,u,w))) / (w * u),v5) = K(x / (w * (u * K(z,y))),v5). [hyper(236,a,15649,a(flip),b,17692,a(flip))]. given #16698 (H,wt=26): 17809 a(x,y,z) * T(u,K(w,v5) * a(x,y,z)) = T(u * a(x,y,z),K(w,v5)). [para(17805(a,1),15662(a,1,1,2)),flip(a)]. given #16699 (H,wt=26): 17825 x * K(y,L(T(z,u),u,(K(z,y) * u) \ x)) = (x / (K(z,y) * u)) * u. [para(17782(a,1),11729(a,1,2))]. given #16700 (H,wt=26): 17831 x \ (y * (a(z,u,K(w,v5)) * (y \ x))) = L(a(w,u,K(v5,z)),y \ x,y). [para(17791(a,2),104(a,1,2,2))]. given #16701 (H,wt=26): 17885 (x / (y \ 1)) * ((y \ 1) * K(z,u)) = x * K(z,L(u,y \ 1,x * y)). [para(17818(a,1),11505(a,1,2)),flip(a)]. given #16702 (H,wt=24): 18402 x * K(y,L(z,u \ 1,x * u)) = (x / (u \ 1)) * (u \ K(y,z)). [hyper(14167,a,17885,a),flip(a)]. given #16703 (H,wt=26): 17962 a(x,y,a(z,u,K(w,v5))) * a(x,u,K(w,v5)) = a(w,u,K(v5,L(x,z,y))). [hyper(17834,a,14973,a)]. given #16704 (H,wt=26): 17995 K(x,y / (z * u)) * a(u,y,K(x,z \ (y / u))) = K(x,(y / u) / z). [para(17993(a,1),15434(a,1,2))]. given #16705 (H,wt=26): 18047 (a(x,y,K(z,u)) * w) * T(v5,w) != v6 | v5 * (a(x,y,K(z,u)) * w) = v6. [para(18042(a,1),220(a,1,2))]. given #16706 (H,wt=26): 18202 T(x,K(y,(z * u) \ w) * v5) != v6 | T(x,K(y,u \ (z \ w)) * v5) = v6. [para(227(a,1),18092(a,1,2,1,2))]. given #16707 (H,wt=26): 18206 K(x,y * T(z,(u * w) \ v5)) != v6 | K(x,y * T(z,w \ (u \ v5))) = v6. [para(227(a,1),18153(a,1,2,2,2))]. given #16708 (H,wt=26): 18225 K(K(x * (y * z),x * y) * u,w) != v5 | K(K(z,x * y) * u,w) = v5. [para(13426(a,2),18204(a,1))]. given #16709 (H,wt=26): 18290 K(x,L(y / a(z,u,w),v5,v6)) != v7 | K(x,L(a(z,u,w) \ y,v5,v6)) = v7. [para(17811(a,1),11589(a,1))]. given #16710 (H,wt=26): 18305 (x * (y * K(z,K(u,w)))) \ v5 != v6 | K(z,K(u,w)) * ((x * y) \ v5) = v6. [para(17944(a,2),16129(a,1))]. given #16711 (H,wt=26): 18306 K(x,L(y / z,u,w)) != v5 | K(x,y / z) * a(x,u,K(w,z \ y)) = v5. [para(17987(a,1),17954(a,1))]. given #16712 (H,wt=26): 18314 K(x,y * (z * (u * K(w,L(v5,v6,v7))))) = K(x,y * ((z * u) * K(w,v5))). [hyper(236,a,18268,a(flip),b,18118,a(flip))]. given #16713 (H,wt=26): 18341 T(x,K(y,z \ (u \ w)) * v5) != v6 | T(x,K(y,u \ (w / z)) * v5) = v6. [para(18336(a,1),16747(a,1))]. given #16714 (H,wt=26): 18360 K(x \ y,L(T(z,u),y,x \ u)) = K(u / ((u / (x * (x \ y))) * x),z). [hyper(236,a,11565,a,b,18359,a),flip(a)]. given #16715 (H,wt=22): 18409 K(x \ y,L(T(z,u),y,x \ u)) = K(u / ((u / y) * x),z). [para(14(a,1),18360(a,2,1,2,1,2))]. given #16716 (H,wt=19): 18410 K(((x / y) * z) / x,u) = K(x / ((x / z) * y),u). [hyper(236,a,11636,a(flip),b,18409,a(flip)),flip(a)]. given #16717 (H,wt=23): 18411 x / (K(y / ((y / z) * u),w) * x) = K(w,((y / u) * z) / y). [para(18410(a,1),5266(a,1,2,1))]. given #16718 (H,wt=19): 18412 K(x,((y / z) * u) / y) = K(x,y / ((y / u) * z)). [hyper(17977,a,18411,a),flip(a)]. given #16719 (H,wt=24): 18414 K(x,L(y / (z / u),y,y \ z)) = K(x,((z / (y \ z)) * u) / z). [hyper(236,a,15465,a,b,18412,a),flip(a)]. given #16720 (H,wt=20): 18415 K(x,L(y / (z / u),y,y \ z)) = K(x,(y * u) / z). [para(62(a,1),18414(a,2,2,1,1))]. given #16721 (H,wt=25): 18418 K(x,L(y / (z * u),y,y \ z)) = K(x,(y * L(u \ 1,u,z)) / z). [para(353(a,1),18415(a,1,2,1,2))]. given #16722 (H,wt=26): 18401 x \ (y * (a(z,u,K(w,v5)) * (y \ x))) = a(w,u,K(v5,L(z,y \ x,y))). [hyper(236,a,12125,a,b,17831,a)]. given #16723 (H,wt=24): 18424 x \ (y * (a(z,u,K(w,v5)) * (y \ x))) = a(w,u,K(v5,L(z,x,y))). [para(14565(a,1),18401(a,2,3))]. given #16724 (H,wt=26): 18408 K(x,y * (z * (u * K(w,L(v5,v6,v7))))) = K(x,y * (z * (u * K(w,v5)))). [hyper(236,a,18118,a(flip),b,18314,a)]. given #16725 (H,wt=27): 17777 a(x,y,K(z,u)) * (w * (u / a(z,y,x))) != v5 | w * (a(z,y,x) \ u) = v5. [para(15209(a,1),17775(a,1)),flip(b)]. given #16726 (H,wt=27): 17803 K(x,y) * T(x * K(y,x),z \ a(u,w,v5)) = T(x,T(a(u,w,v5) / z,y)). [para(17684(a,1),8639(a,1,2))]. given #16727 (H,wt=21): 18425 T(x,T(a(y,z,u) / w,v5)) = T(x,T(w \ a(y,z,u),v5)). [hyper(8641,a,17803,a),flip(a)]. given #16728 (H,wt=24): 18426 T(x,T(a(y,z,u) / w,v5)) != v6 | T(x,T(w \ a(y,z,u),v5)) = v6. [para(17803(a,1),8641(a,1))]. given #16729 (H,wt=27): 17898 K(x,(K(y,z) * ((K(u,w) \ v5) / K(y,z))) \ v6) = K(x,v5 \ (K(w,u) \ v6)). [hyper(16791,a,17858,a)]. given #16730 (H,wt=27): 18031 K(x,L(y,a(z,u,u \ 1),z \ 1)) = K(x,L(y,R(z,u,u \ 1),z \ 1)). [para(689(a,1),18028(a,1,2,2)),flip(a)]. given #16731 (H,wt=27): 18182 K(x,(y / T(z,y)) * (K(z,y / T(z,y)) * u)) = K(x,(z \ T(y,z)) * u). [para(4111(a,1),18178(a,2,2,1))]. given #16732 (H,wt=25): 18428 K(x,(y / T(z,y)) * (K(z,z \ y) * u)) = K(x,(z \ T(y,z)) * u). [para(7649(a,1),18182(a,1,2,2,1))]. given #16733 (H,wt=23): 18429 K(x,(y \ z) * (K(y,y \ z) * u)) = K(x,(y \ T(z,y)) * u). [hyper(13299,a,18428,a)]. given #16734 (H,wt=17): 18431 K(x,(y \ T(z,y)) * u) = K(x,(z / y) * u). [para(5571(a,1),18429(a,1,2)),flip(a)]. given #16735 (H,wt=27): 18184 K(x,T(y / z,y) * (K(u,z \ y) * w)) = K(x,T(T(y / z,y),u) * w). [para(7271(a,1),18178(a,1,2,2,1))]. given #16736 (H,wt=25): 18432 K(x,(y \ z) * (K(u,y \ z) * w)) = K(x,T(T(z / y,z),u) * w). [hyper(236,a,13135,a(flip),b,18184,a(flip)),flip(a)]. given #16737 (H,wt=21): 18433 K(x,T(T(y / z,y),u) * w) = K(x,T(z \ y,u) * w). [hyper(236,a,18178,a(flip),b,18432,a(flip))]. given #16738 (H,wt=27): 18345 T(a(x,y,z),T(u,w)) \ v5 != a(u,y,K(z,x)) * v6 | a(x,y,z) \ v5 = v6. [para(17839(a,2),19(a,1))]. given #16739 (H,wt=28): 17798 (x * y) \ ((x * a(z,u,K(w,v5))) * y) = R(T(a(z,u,K(w,v5)),x * y),x,y). [para(17667(a,1),615(a,1,2,1))]. given #16740 (H,wt=24): 18434 (x * y) \ ((x * a(z,u,K(w,v5))) * y) = R(a(z,u,K(w,v5)),x,y). [para(17659(a,1),17798(a,2,1))]. given #16741 (H,wt=24): 18435 (x * y) \ ((x * a(z,u,K(w,v5))) * y) = a(z,u,K(w,L(v5,x,y))). [hyper(236,a,15424,a,b,18434,a)]. given #16742 (H,wt=24): 18437 (x * y) * a(z,u,K(w,L(v5,x,y))) = (x * a(z,u,K(w,v5))) * y. [para(18435(a,1),14(a,1,2))]. given #16743 (H,wt=28): 17822 K(x,L((y * K(z,u)) \ w,u,y \ T(u,z))) = K(x,u \ ((T(u,z) / y) * w)). [hyper(236,a,14582,a(flip),b,17782,a(flip))]. given #16744 (H,wt=28): 17887 x * L(x \ y,z,K(u,w)) != v5 * v6 | v5 \ (a(u,z,K(w,x \ y)) * y) = v6. [para(17829(a,1),551(a,1))]. given #16745 (H,wt=28): 17985 a(L(T(x,y * z),z,y),u,K(w,z \ u)) = a(w,z,K((y * z) \ (y * u),x)). [hyper(236,a,14327,a,b,17983,a(flip)),flip(a)]. given #16746 (H,wt=28): 18030 K(x,L((y * z) \ u,z,y \ 1)) = K(x,((y \ 1) * (y * z)) \ ((y \ 1) * u)). [para(105(a,1),18028(a,1,2)),flip(a)]. given #16747 (H,wt=27): 18439 K(x,L((y * z) \ u,z,y \ 1)) = K(x,L(z,y,y \ 1) \ ((y \ 1) * u)). [hyper(6727,a,18030,a(flip)),flip(a)]. given #16748 (H,wt=28): 18214 K(x,K(y,z * (T(u,w) \ v5)) * v6) != v7 | K(x,K(z * (u \ v5),y) * v6) = v7. [para(18179(a,1),17305(a,1,2,1))]. given #16749 (H,wt=28): 18361 T(x,K(y,L(z \ 1,u,w)) * v5) = v5 \ T(x * T(v5,K(z,y)),K(y,z \ 1)). [para(9292(a,1),18347(a,2,2,1,2))]. given #16750 (H,wt=26): 18440 T(x,K(y,L(z \ 1,u,w)) * v5) = v5 \ T(x * T(v5,K(z,y)),K(z,y)). [para(9290(a,1),18361(a,2,2))]. given #16751 (H,wt=20): 18441 T(x,K(y,L(z \ 1,u,w)) * v5) = T(x,K(y,z) * v5). [hyper(236,a,15654,a(flip),b,18440,a)]. given #16752 (H,wt=17): 18442 T(x,K(y,z \ 1) * u) = T(x,K(y,z) * u). [hyper(18092,a,18441,a)]. given #16753 (H,wt=28): 18365 T(x * K(y,z),a(u,w,v5)) != K(y,z) * v6 | T(x,a(u,w,v5) * K(y,z)) = v6. [para(17727(a,1),19(a,1))]. given #16754 (H,wt=28): 18407 K(x,y * (z * (u * K(w,L(w \ v5,v6,v7))))) = K(x,y * ((z * u) * K(v5,w))). [hyper(236,a,18189,a(flip),b,18314,a)]. given #16755 (H,wt=28): 18416 a((x / y) \ z,z,K(u,z \ x)) \ K(u,(z * y) / x) = K(u,z / (x / y)). [hyper(72,a,18415,a(flip),b,17987,a)]. given #16756 (H,wt=28): 18438 a(T(x,y * z),u,K(w,L(z \ u,z,y))) = a(w,z,K((y * z) \ (y * u),x)). [hyper(14393,a,17985,a)]. given #16757 (H,wt=28): 18443 K(x,y * (z * (u * K(w,L(w \ v5,v6,v7))))) = K(x,y * (z * (u * K(v5,w)))). [hyper(236,a,18118,a(flip),b,18407,a)]. given #16758 (H,wt=25): 18444 K(x,y * (z * (u * K(w,w \ v5)))) = K(x,y * (z * (u * K(v5,w)))). [hyper(236,a,18408,a(flip),b,18443,a(flip)),flip(a)]. given #16759 (H,wt=29): 17910 K(x \ (y \ z),x * y) * K(x,K(y,y \ (x \ z))) = K((x * y) \ z,y * x). [para(17875(a,1),14564(a,1,2))]. given #16760 (H,wt=27): 18445 K(x \ (y \ z),x * y) * K(x,K(y,x \ z)) = K((x * y) \ z,y * x). [para(9208(a,1),17910(a,1,2))]. given #16761 (H,wt=25): 18446 K(x \ (y \ z),x * y) * K(x,K(y,z)) = K((x * y) \ z,y * x). [para(9203(a,1),18445(a,1,2))]. given #16762 (H,wt=25): 18447 K(x \ (y \ z),x * y) * K(x,K(y,z)) = K(y \ (x \ z),y * x). [hyper(236,a,14560,a(flip),b,18446,a)]. given #16763 (H,wt=29): 17952 K(x,y \ ((z / K(u,w)) \ (v5 * (K(u,w) \ z)))) = K(x,y \ T(v5,z / K(u,w))). [para(16392(a,1),17949(a,1,2,2))]. given #16764 (H,wt=29): 18080 (K(x,y) * z) / (L(y * x,u,K(w,v5)) \ z) = (x * a(v5,u,K(y * x,w))) * y. [para(18075(a,1),14802(a,1,1,1))]. given #16765 (H,wt=29): 18198 K(x,T(T(y / z,y),u) * ((z \ y) \ w)) = K(x,K(y \ (z * u),z \ y) * w). [hyper(236,a,13747,a(flip),b,18197,a(flip))]. given #16766 (H,wt=27): 18450 K(x,K(y \ (z * u),z \ y) * w) = K(x,T(z \ y,u) * ((z \ y) \ w)). [hyper(236,a,18433,a(flip),b,18198,a(flip))]. given #16767 (H,wt=23): 18451 K(x,K(y \ (z * u),z \ y) * w) = K(x,K(z \ y,u) * w). [para(4857(a,1),18450(a,2,2))]. given #16768 (H,wt=23): 18452 K(x,y * K(z \ (u * w),u \ z)) = K(x,K(u \ z,w) * y). [hyper(16181,a,18451,a)]. given #16769 (H,wt=29): 18307 K(x,y) * a(y,z,K(x,L(u \ w,v5,v6))) = K(x,L(y,z,L((u / w) \ 1,v5,v6))). [para(17994(a,1),14338(a,1,2))]. given #16770 (H,wt=28): 18453 K(x,L(y,z,L((u / w) \ 1,v5,v6))) != v7 | K(x,L(y,z,L(u \ w,v5,v6))) = v7. [para(18307(a,1),14023(a,1))]. given #16771 (H,wt=29): 18316 K(x,y * (z * (u * K(T(w,v5) \ v6,w)))) = K(x,y * ((z * u) * K(w \ v6,w))). [para(7486(a,1),18118(a,1,2,2,2)),flip(a)]. given #16772 (H,wt=27): 18454 K(x,y * (z * (u * K(T(w,v5) \ v6,w)))) = K(x,y * ((z * u) * K(v6,w))). [hyper(236,a,13184,a(flip),b,18316,a)]. given #16773 (H,wt=27): 18455 K(x,y * (z * (u * K(T(w,v5) \ v6,w)))) = K(x,y * (z * (u * K(v6,w)))). [hyper(236,a,18118,a(flip),b,18454,a)]. given #16774 (H,wt=25): 18456 K(x,y * (z * (u * K(w \ v5,w)))) = K(x,y * (z * (u * K(v5,w)))). [para(118(a,1),18455(a,1,2,2,2,2,1,1))]. given #16775 (H,wt=29): 18386 K(x,y * (z * K(u,w))) * K(x,K(K(u,w) * y,z)) = K(x,z * (K(u,w) * y)). [para(18384(a,1),13242(a,1,1))]. given #16776 (H,wt=25): 18457 K(x,y * (z * K(u,w))) * K(x,K(y,z)) = K(x,z * (K(u,w) * y)). [para(17062(a,1),18386(a,1,2))]. given #16777 (H,wt=25): 18458 K(x,y * (z * K(u,w))) * K(x,K(y,z)) = K(x,K(u,w) * (z * y)). [hyper(236,a,18156,a,b,18457,a)]. given #16778 (H,wt=25): 18460 K(x,K(y,z)) * K(x,y * (z * K(u,w))) = K(x,K(u,w) * (z * y)). [hyper(16168,a,18458,a)]. given #16779 (H,wt=28): 18461 K(x,y * (z * K(u,w))) * K(x,K(y,z)) != v5 | K(x,z * (K(u,w) * y)) = v5. [para(18458(a,2),18159(a,1))]. given #16780 (H,wt=29): 18398 (x * K(y,z \ (L(K(u,w),v5,v6) * v7))) \ x = K((z * L(K(w,u),v5,v6)) \ v7,y). [para(18394(a,1),7549(a,1,1,2))]. given #16781 (H,wt=25): 18463 K((x * L(K(y,z),u,w)) \ v5,v6) = K(x \ (L(K(z,y),u,w) * v5),v6). [hyper(16240,a,18398,a),flip(a)]. given #16782 (H,wt=28): 18464 K((x * L(K(y,z),u,w)) \ v5,v6) != v7 | K(x \ (L(K(z,y),u,w) * v5),v6) = v7. [para(18398(a,1),7560(a,1))]. given #16783 (H,wt=29): 18406 K(x,L(a(y,z,u) \ (w / v5),w,v5)) = K(x,w / (L(v5,z,K(y,u)) * a(y,z,u))). [hyper(18290,a,15435,a)]. given #16784 (H,wt=28): 18466 K(x,(y * a(z,u,w)) \ T(v5,y)) = K(x,v5 / (L(y,u,K(z,w)) * a(z,u,w))). [hyper(236,a,15805,a(flip),b,18406,a(flip)),flip(a)]. given #16785 (H,wt=23): 18467 K(x,(y * a(z,u,w)) \ T(v5,y)) = K(x,v5 / (a(z,u,w) * y)). [para(14744(a,1),18466(a,2,2,2))]. given #16786 (H,wt=29): 18413 K(x,L((y * z) / (y / u),y,z \ 1)) = K(x,((y / L(z \ 1,z,y)) * u) / y). [hyper(236,a,15467,a,b,18412,a),flip(a)]. given #16787 (H,wt=29): 18448 K(x,y \ ((z * K(u,w)) \ (v5 * (K(w,u) \ z)))) = K(x,y \ T(v5,z / K(w,u))). [para(7547(a,1),17952(a,1,2,2,1))]. given #16788 (H,wt=25): 18468 K(x,y \ (z \ T(u * z,K(w,v5)))) = K(x,y \ T(u,z / K(v5,w))). [para(17273(a,1),18448(a,1,2,2))]. given #16789 (H,wt=30): 17832 (x * (a(y,z,K(u,w)) * v5)) * K(a(u,z,K(w,y)),v5) = x * (a(u,z,K(w,y)) * v5). [para(17791(a,2),10676(a,1,1,2))]. given #16790 (H,wt=23): 18469 (x * (a(y,z,K(u,w)) * v5)) * 1 = x * (a(u,z,K(w,y)) * v5). [para(17644(a,1),17832(a,1,2))]. given #16791 (H,wt=21): 18470 x * (a(y,z,K(u,w)) * v5) = x * (a(w,z,K(y,u)) * v5). [hyper(84,a,18469,a),flip(a)]. given #16792 (H,wt=30): 17881 a(x,y,K(z,u)) \ (w * K(v5,L(z,y,K(u,x)))) = (w / T(L(z,y,K(u,x)),v5)) * z. [hyper(72,a,7612,a(flip),b,17796,a)]. given #16793 (H,wt=25): 18473 a(x,y,K(z,u)) \ (w * K(v5,z)) = (w / T(L(z,y,K(u,x)),v5)) * z. [para(17691(a,1),17881(a,1,2,2))]. given #16794 (H,wt=25): 18474 (x / T(L(y,z,K(u,w)),v5)) * y = a(y,z,K(w,u)) * (x * K(v5,y)). [hyper(14603,a,18473,a),flip(a)]. given #16795 (H,wt=25): 18476 (x / L(T(y,z),u,K(w,v5))) * y = a(y,u,K(v5,w)) * (x * K(z,y)). [para(40(a,2),18474(a,1,1,2))]. given #16796 (H,wt=23): 18477 a(x,y,K(z,u)) * (w * K(u,x)) = w * K(L(u,y,z \ 1),x). [hyper(236,a,14738,a(flip),b,18476,a(flip))]. given #16797 (H,wt=23): 18478 a(x,y,K(z,u)) * (w * K(u,x)) = w * K(u,L(x,y,z \ 1)). [para(11533(a,1),18477(a,2,2))]. given #16798 (H,wt=30): 18297 (x * (y * K(z,K(u,w)))) * v5 != v6 * v7 | v6 \ (K(z,K(u,w)) * ((x * y) * v5)) = v7. [para(17893(a,2),545(a,1))]. given #16799 (H,wt=31): 17729 K(x,((y * (z / y)) \ u) \ T(w,K(y \ z,y))) = K(x,(z \ u) \ (w * K(y,y \ z))). [hyper(236,a,15956,a(flip),b,17691,a(flip)),flip(a)]. given #16800 (H,wt=31): 17909 x * (K((y * z) \ x,z * y) * K(z,K(y,z \ (y \ x)))) = ((y * z) \ x) * (y * z). [para(17875(a,1),13248(a,1,2,2))]. given #16801 (H,wt=31): 18057 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(18045(a,1),13320(a,1,1,1,1))]. given #16802 (H,wt=31): 18229 K(x,y * (z / T(u,w))) * K(x,K(y,z / T(u,w))) = K(x,(K(u,w) * (z / u)) * y). [para(18219(a,1),16348(a,1,1))]. given #16803 (H,wt=21): 18481 K(x,(K(y,z) * (u / y)) * w) = K(x,(u / T(y,z)) * w). [hyper(236,a,13242,a(flip),b,18229,a(flip))]. given #16804 (H,wt=21): 18482 K(x,(y / z) * (u * K(z,w))) = K(x,(y / T(z,w)) * u). [hyper(18383,a,18481,a)]. given #16805 (H,wt=23): 18483 K(x,(y / T(z,u)) * (w \ 1)) = K(x,(y / z) * (w \ K(z,u))). [hyper(236,a,18387,a(flip),b,18481,a(flip))]. given #16806 (H,wt=23): 18484 K(x,(y / T(z,u)) * K(w,K(v5,v6))) = K(x,(y / z) * K(z,u)). [hyper(16751,a,18482,a),flip(a)]. given #16807 (H,wt=24): 18485 K(x,(y / T(z,u)) * a(w,v5,K(v6,v7))) = K(x,(y / z) * K(z,u)). [hyper(236,a,18122,a(flip),b,18482,a(flip))]. given #16808 (H,wt=25): 18486 K(x,(y / T(z,u)) * ((z \ w) \ 1)) = K(x,(y / z) / (T(z,u) \ w)). [hyper(14545,a,18483,a(flip)),flip(a)]. given #16809 (H,wt=23): 18488 K(x,(y / T(z,u)) / (z \ w)) = K(x,(y / z) / (T(z,u) \ w)). [hyper(14282,a,18486,a)]. given #16810 (H,wt=26): 18487 K(x,(y / z) * K(z,u)) != w | K(x,(y / T(z,u)) * K(v5,K(v6,v7))) = w. [para(18484(a,1),16416(a,1))]. given #16811 (H,wt=31): 18427 K(x,(K(y,z) * ((K(u,T(w,v5)) \ v6) / K(y,z))) \ v7) = K(x,v6 \ (K(w,T(u,v5)) \ v7)). [para(7260(a,1),17898(a,1,2,1,2,1,1))]. given #16812 (H,wt=31): 18462 K(x,K(y,z * u)) * K(x,y * (z * (u * K(w,v5)))) = K(x,K(w,v5) * ((z * u) * y)). [para(18118(a,1),18460(a,1,2))]. given #16813 (H,wt=29): 18490 K(x,K(y,z * u)) * K(x,y * (T(z,w) * u)) = K(x,K(z,w) * ((z * u) * y)). [para(16644(a,1),18462(a,1,2))]. given #16814 (H,wt=21): 18491 K(x,K(y,z) * ((y * u) * w)) = K(x,(T(y,z) * u) * w). [hyper(236,a,17079,a(flip),b,18490,a(flip))]. given #16815 (H,wt=21): 18492 K(x,(y * z) * (u * K(w,y))) = K(x,(T(y,w) * z) * u). [hyper(18180,a,18491,a)]. given #16816 (H,wt=21): 18496 K(x,(y * (K(z,y) * u)) * w) = K(x,(T(y,z) * u) * w). [hyper(236,a,18385,a,b,18492,a(flip)),flip(a)]. given #16817 (H,wt=17): 18497 K(x,(T(y,z) * z) * u) = K(x,(z * y) * u). [para(4971(a,1),18496(a,1,2,1)),flip(a)]. given #16818 (H,wt=19): 18500 K(x,(T(y,z) * z) * (u \ 1)) = K(x,(z * y) / u). [hyper(236,a,14060,a(flip),b,18497,a)]. given #16819 (H,wt=17): 18503 K(x,(T(y,z) * z) / u) = K(x,(z * y) / u). [hyper(14282,a,18500,a)]. given #16820 (H,wt=19): 18502 K(x,((y \ z) * y) * u) = K(x,(y * (z / y)) * u). [para(121(a,1),18497(a,1,2,1,1))]. given #16821 (H,wt=17): 18505 K(x,(y * (z / y)) * u) = K(x,T(z,y) * u). [hyper(16570,a,18502,a),flip(a)]. given #16822 (H,wt=19): 18504 K(x,((y \ z) * y) / u) = K(x,(y * (z / y)) / u). [para(121(a,1),18503(a,1,2,1,1))]. given #16823 (H,wt=20): 18506 K(x,(y * (z / y)) * u) != w | K(x,T(z,y) * u) = w. [para(18502(a,1),16570(a,1))]. given #16824 (H,wt=20): 18509 K(x,(y * (z / y)) / u) != w | K(x,T(z,y) / u) = w. [para(18504(a,1),16872(a,1))]. given #16825 (H,wt=21): 18498 K(x,(((y * z) / y) * u) * w) = K(x,(T(z,y) * u) * w). [para(5525(a,2),18496(a,1,2,1))]. given #16826 (H,wt=21): 18499 K(x,(T(y \ z,y) * u) * w) = K(x,((z / y) * u) * w). [para(5571(a,1),18496(a,1,2,1)),flip(a)]. given #16827 (H,wt=21): 18501 K(x,(T(T(y,z),u) * z) * w) = K(x,(z * T(y,u)) * w). [para(38(a,1),18497(a,1,2,1,1))]. given #16828 (H,wt=23): 18507 K(x,T(y,z * y) * u) = K(x,(((z \ 1) \ y) * (z \ 1)) * u). [para(3809(a,2),18505(a,1,2,1)),flip(a)]. given #16829 (H,wt=19): 18513 K(x,T(y,z \ 1) * u) = K(x,T(y,z * y) * u). [hyper(236,a,16569,a(flip),b,18507,a),flip(a)]. given #16830 (H,wt=19): 18514 K(x,T(y,z \ 1) * u) = K(x,T(y,y * z) * u). [para(4255(a,1),18513(a,2,2,1))]. given #16831 (H,wt=17): 18515 K(x,T(y,z \ 1) * u) = K(x,T(y,z) * u). [hyper(236,a,13055,a(flip),b,18514,a)]. given #16832 (H,wt=21): 18516 K(x,T((y \ 1) * z,y) * u) = K(x,(z * (y \ 1)) * u). [hyper(236,a,16571,a(flip),b,18515,a(flip))]. given #16833 (H,wt=22): 18517 K(x,(L(y,z \ 1,z) / z) * u) = K(x,(y * (z \ 1)) * u). [hyper(236,a,18186,a,b,18516,a(flip)),flip(a)]. given #16834 (H,wt=25): 18493 K(x,K(y / z,z) * (((y / z) * u) * w)) = K(x,((z \ y) * u) * w). [para(121(a,1),18491(a,2,2,1,1))]. given #16835 (H,wt=25): 18510 K(x,(T((y * z) / y,u) * w) * v5) = K(x,(T(T(z,u),y) * w) * v5). [para(412(a,1),18498(a,1,2,1,1))]. given #16836 (H,wt=25): 18511 K(x,((T(y,z \ y) / z) * u) * w) = K(x,(T(y / z,y) * u) * w). [para(3895(a,2),18498(a,1,2,1,1))]. given #16837 (H,wt=25): 18518 K(x,K(y \ z,y) * (((z / y) * u) * w)) = K(x,((y \ z) * u) * w). [para(4997(a,1),18493(a,1,2,1))]. given #16838 (H,wt=23): 18519 K(x,K(y,z) * (((y / z) * u) * w)) = K(x,((z \ y) * u) * w). [hyper(13176,a,18518,a)]. given #16839 (H,wt=27): 18494 K(x,K(y \ z,z) * (((z / y) * u) * w)) = K(x,(T(z / y,z) * u) * w). [para(6289(a,1),18491(a,1,2,1))]. given #16840 (H,wt=25): 18520 K(x,K(y,z) * (((y / z) * u) * w)) = K(x,(T(y / z,y) * u) * w). [hyper(15841,a,18494,a)]. given #16841 (H,wt=21): 18521 K(x,(T(y / z,y) * u) * w) = K(x,((z \ y) * u) * w). [hyper(236,a,18519,a(flip),b,18520,a(flip))]. given #16842 (H,wt=21): 18523 K(x,(((y \ z) \ z) * u) * w) = K(x,(T(y,z) * u) * w). [para(62(a,1),18521(a,1,2,1,1,1)),flip(a)]. given #16843 (H,wt=23): 18522 K(x,((T(y,z \ y) / z) * u) * w) = K(x,((z \ y) * u) * w). [hyper(236,a,18511,a,b,18521,a(flip)),flip(a)]. given #16844 (H,wt=27): 18508 K(x,(((y \ 1) \ z) * (y \ 1)) / u) = K(x,(z * K(y \ 1,y * z)) / u). [para(7103(a,1),18504(a,2,2,1))]. given #16845 (H,wt=23): 18524 K(x,(y * K(z \ 1,z * y)) / u) = K(x,T(y,z \ 1) / u). [hyper(16872,a,18508,a),flip(a)]. given #16846 (H,wt=23): 18525 K(x,y * (z \ K(u \ 1,u * y))) = K(x,T(y,u \ 1) / z). [hyper(236,a,17869,a(flip),b,18524,a(flip)),flip(a)]. given #16847 (H,wt=21): 18526 K(x,y * (z \ K(u,u * y))) = K(x,T(y,u \ 1) / z). [hyper(18350,a,18525,a)]. given #16848 (H,wt=21): 18527 K(x,y * (z \ K(u,y * u))) = K(x,T(y,u \ 1) / z). [para(6605(a,2),18526(a,1,2,2,2))]. given #16849 (H,wt=31): 18472 (x * (a(y,z,K(u,w)) * v5)) \ ((x * a(u,z,K(w,y))) * v5) = a(x,a(u,z,K(w,y)),v5). [para(18470(a,1),24(a,2,1)),flip(a)]. given #16850 (H,wt=31): 18480 x * (K((y * z) \ x,z * y) * K(y,K(z,z \ (y \ x)))) = ((y * z) \ x) * (y * z). [para(7919(a,1),17909(a,1,2,2))]. given #16851 (H,wt=29): 18528 x * (K((y * z) \ x,z * y) * K(y,K(z,y \ x))) = ((y * z) \ x) * (y * z). [para(9208(a,1),18480(a,1,2,2))]. given #16852 (H,wt=27): 18529 x * (K((y * z) \ x,z * y) * K(y,K(x,z))) = ((y * z) \ x) * (y * z). [para(9206(a,1),18528(a,1,2,2))]. given #16853 (H,wt=25): 18530 T(x,K(y,z)) * K((y * z) \ x,z * y) = ((y * z) \ x) * (y * z). [hyper(16121,a,18529,a)]. given #16854 (H,wt=25): 18531 T(x * K((y * z) \ x,z * y),K(y,z)) = ((y * z) \ x) * (y * z). [hyper(236,a,17119,a,b,18530,a(flip)),flip(a)]. given #16855 (H,wt=25): 18532 T(x * K(y \ (z \ x),y * z),K(z,y)) = ((z * y) \ x) * (z * y). [para(14560(a,1),18531(a,1,1,2))]. given #16856 (H,wt=23): 18533 T(((x * y) \ z) * (x * y),K(y,x)) = ((y * x) \ z) * (y * x). [para(14561(a,1),18532(a,1,1))]. given #16857 (H,wt=30): 18534 ((x * K(y,z)) \ u) * (x * K(y,z)) != w | ((K(y,z) * x) \ u) * (K(y,z) * x) = w. [para(18533(a,1),16128(a,1)),flip(b)]. given #16858 (H,wt=31): 18495 K(x,K(y,T(z,u)) * ((((u * y) / u) * w) * v5)) = K(x,(T((u * y) / u,z) * w) * v5). [para(8067(a,1),18491(a,1,2,1))]. given #16859 (H,wt=29): 18535 K(x,((((y * z) / y) * u) * w) * K(z,v5)) = K(x,(T((y * z) / y,v5) * u) * w). [hyper(16703,a,18495,a)]. given #16860 (H,wt=29): 18536 K(x,(((y * z) / y) * u) * (w * K(z,v5))) = K(x,(T((y * z) / y,v5) * u) * w). [hyper(18095,a,18535,a)]. given #16861 (H,wt=27): 18538 K(x,(T((y * z) / y,u) * w) * v5) = K(x,(T(z,y) * w) * (v5 * K(z,u))). [hyper(236,a,18498,a(flip),b,18536,a(flip))]. given #16862 (H,wt=25): 18539 K(x,(T(y,z) * u) * (w * K(y,v5))) = K(x,(T(T(y,v5),z) * u) * w). [hyper(236,a,18510,a(flip),b,18538,a(flip))]. given #16863 (H,wt=31): 18512 K(x,K(y,(z \ u) * w)) * K(x,y * ((u / z) * w)) = K(x,(T(z \ u,z) * w) * y). [hyper(236,a,17097,a,b,18499,a),flip(a)]. given #16864 (H,wt=21): 18540 K(x,y * (T(z \ u,z) * w)) = K(x,y * ((u / z) * w)). [hyper(17,a,17079,a,b,18512,a),flip(a)]. given #16865 (H,wt=21): 18541 K(x,y * (((z * u) / z) * w)) = K(x,y * (T(u,z) * w)). [para(13(a,1),18540(a,1,2,2,1,1)),flip(a)]. given #16866 (H,wt=17): 18542 K(x,y * (T(z,u) * u)) = K(x,y * (u * z)). [para(16(a,1),18541(a,1,2,2)),flip(a)]. given #16867 (H,wt=21): 18543 K(x,y * (z * (K(u,z) * w))) = K(x,y * (T(z,u) * w)). [para(5525(a,1),18541(a,1,2,2))]. given #16868 (H,wt=25): 18544 K(x,y * (z * (K(u,z) * (w / z)))) = K(x,y * ((T(z,u) \ w) * z)). [para(7176(a,1),18542(a,1,2,2,1)),flip(a)]. given #16869 (H,wt=23): 18551 K(x,y * ((T(z,u) \ w) * z)) = K(x,y * (T(z,u) * (w / z))). [hyper(236,a,18543,a(flip),b,18544,a(flip))]. given #16870 (H,wt=25): 18545 K(x,y * ((T(z,T(u,w)) \ w) * z)) = K(x,y * (z * (w / T(z,u)))). [para(8602(a,1),18542(a,1,2,2,1))]. given #16871 (H,wt=25): 18546 K(x,y * ((z \ u) * (z * K(w,z)))) = K(x,y * (z * (u / T(z,w)))). [para(7797(a,1),18542(a,1,2,2))]. given #16872 (H,wt=23): 18552 K(x,y * (K(z,u) * T(w,u))) = K(x,y * (u * (w / T(u,z)))). [hyper(236,a,18315,a(flip),b,18546,a(flip)),flip(a)]. given #16873 (H,wt=23): 18553 K(x,y * T(K(z,u) * w,u)) = K(x,y * (u * (w / T(u,z)))). [para(7151(a,2),18552(a,1,2,2))]. given #16874 (H,wt=25): 18550 K(x,y * (T(z,T(u,w)) * (w / z))) = K(x,y * ((z \ w) * T(z,u))). [para(18310(a,1),18542(a,1,2,2))]. given #16875 (H,wt=25): 18554 K(x,y * ((T(z,T(u,w)) \ w) * z)) = K(x,y * T(K(u,z) * w,z)). [hyper(236,a,18545,a,b,18553,a),flip(a)]. given #16876 (H,wt=25): 18555 K(x,y * (T(z,T(u,w)) * (w / z))) = K(x,y * T(K(u,z) * w,z)). [hyper(236,a,18551,a(flip),b,18554,a(flip)),flip(a)]. given #16877 (H,wt=23): 18556 K(x,y * T(K(z,u) * w,u)) = K(x,y * ((u \ w) * T(u,z))). [hyper(236,a,18550,a(flip),b,18555,a(flip))]. given #16878 (H,wt=29): 18548 K(x,y * (T(z * K(u,K(w,z * v5)),v5) * v5)) = K(x,y * T(v5 * z,K(u,w))). [para(16074(a,1),18542(a,2,2,2))]. given #16879 (H,wt=27): 18557 K(x,y * ((z \ T(u * z,K(w,v5))) * z)) = K(x,y * T(z * u,K(w,v5))). [para(16075(a,1),18548(a,1,2,2,1))]. given #16880 (H,wt=25): 18558 K(x,y * T(T(z * u,K(w,v5)),u)) = K(x,y * T(u * z,K(w,v5))). [hyper(16457,a,18557,a)]. given #16881 (H,wt=21): 18559 K(x,y * T(z * u,K(w,v5))) = K(x,y * T(u * z,z)). [hyper(16726,a,18558,a),flip(a)]. given #16882 (H,wt=17): 18560 K(x,y * T(z * u,u)) = K(x,y * (u * z)). [hyper(16670,a,18559,a),flip(a)]. given #16883 (H,wt=17): 18563 K(x,y * (z * (u / z))) = K(x,y * T(u,z)). [para(16(a,1),18560(a,1,2,2,1)),flip(a)]. given #16884 (H,wt=20): 18561 K(x,y * T(z * u,u)) != w | K(x,y * (u * z)) = w. [para(18559(a,1),16670(a,1))]. given #16885 (H,wt=22): 18562 K(x,y * (L(z,u \ 1,u) / u)) = K(x,y * (z * (u \ 1))). [hyper(236,a,18132,a(flip),b,18560,a(flip)),flip(a)]. given #16886 (H,wt=23): 18565 K(x,y * ((z \ 1) * (z * u))) = K(x,y * ((u * z) * (z \ 1))). [para(1635(a,1),18562(a,1,2,2))]. given #16887 (H,wt=22): 18566 K(x,y * ((z \ 1) * (z * u))) = K(x,y * R(u,z,z \ 1)). [para(189(a,1),18565(a,2,2,2))]. given #16888 (H,wt=21): 18567 K(x,y * R(z,u,u \ 1)) = K(x,y * L(z,u,u \ 1)). [hyper(236,a,5932,a(flip),b,18566,a(flip))]. given #16889 (H,wt=23): 18568 K(x,(y \ 1) * L(z,u,u \ 1)) = K(x,y \ R(z,u,u \ 1)). [hyper(14303,a,18567,a),flip(a)]. given #16890 (H,wt=24): 18571 K(x,y \ R(z,u,u \ 1)) != w | K(x,y \ L(z,u,u \ 1)) = w. [para(18568(a,1),14303(a,1))]. given #16891 (H,wt=25): 18570 K(x,R(y,z,z \ 1) * (y \ u)) = K(x,(u / y) * L(y,z,z \ 1)). [para(15425(a,2),18567(a,1,2))]. given #16892 (H,wt=32): 17738 K(x,y) \ (K(x,L(z,u,w)) * (T(x,z) \ K(L(x,u,K(z,w)),y))) = L(x,u,K(z,w)) \ 1. [para(17692(a,1),14841(a,1,1))]. given #16893 (H,wt=27): 18572 K(x,y) \ (K(x,L(z,u,w)) * (T(x,z) \ K(x,y))) = L(x,u,K(z,w)) \ 1. [para(17692(a,1),17738(a,1,2,2,2))]. given #16894 (H,wt=23): 18574 K(x,y) \ (L(x,z,K(u,w)) \ K(x,y)) = L(x,z,K(u,w)) \ 1. [para(14840(a,1),18572(a,1,2))]. given #16895 (H,wt=32): 17772 x \ ((K(y,K(z,u * x)) * w) / (((u * x) * K(y,L(z,u,x))) \ w)) = T(K(y,z) * u,x). [para(17753(a,1),15640(a,1,2,1,1))]. given #16896 (H,wt=31): 18576 x \ ((K(y,K(z,u * x)) * w) / ((x * (T(u,x) * K(y,z))) \ w)) = T(K(y,z) * u,x). [para(11506(a,1),17772(a,1,2,2,1))]. given #16897 (H,wt=31): 18578 x \ (K(y,K(z,u * x)) * (w / ((x * (T(u,x) * K(y,z))) \ w))) = T(K(y,z) * u,x). [para(17669(a,1),18576(a,1,2))]. given #16898 (H,wt=27): 18579 x \ (K(y,K(z,u * x)) * (x * (T(u,x) * K(y,z)))) = T(K(y,z) * u,x). [para(62(a,1),18578(a,1,2,2))]. given #16899 (H,wt=23): 18580 x \ (x * (T(y,x) * K(z,T(u,y * x)))) = T(K(z,u) * y,x). [para(17924(a,1),18579(a,1,2))]. given #16900 (H,wt=19): 18581 T(x,y) * K(z,T(u,x * y)) = T(K(z,u) * x,y). [hyper(306,a,18580,a)]. given #16901 (H,wt=19): 18586 T(K(x,T(y,z * u)) * z,u) = T(z,u) * K(x,y). [para(8051(a,1),18581(a,1,2)),flip(a)]. given #16902 (H,wt=19): 18587 T(x,y) * K(z,T(u,y * x)) = T(K(z,u) * x,y). [para(15991(a,1),18581(a,1,2))]. given #16903 (H,wt=22): 18584 T(x,y) \ T(K(z,u) * x,y) != w | K(z,T(u,x * y)) = w. [para(18581(a,1),283(a,1,2)),flip(b)]. given #16904 (H,wt=29): 18582 T(x,(y \ z) \ 1) \ T(K(u,w) * x,z \ y) = K(u,T(w,x * ((y \ z) \ 1))). [hyper(72,a,6361,a(flip),b,18581,a)]. given #16905 (H,wt=27): 18590 T(x,y \ z) \ T(K(u,w) * x,y \ z) = K(u,T(w,x * ((z \ y) \ 1))). [para(6361(a,1),18582(a,1,1))]. given #16906 (H,wt=21): 18591 K(x,T(y,z * ((u \ w) \ 1))) = K(x,T(y,z * (w \ u))). [hyper(18584,a,18590,a),flip(a)]. given #16907 (H,wt=19): 18592 K(x,T(y,(z \ u) \ w)) = K(x,T(y,w * (u \ z))). [hyper(16379,a,18591,a)]. given #16908 (H,wt=19): 18593 K(x,T(y,z \ (u / w))) = K(x,T(y,z * (u \ w))). [hyper(236,a,17014,a(flip),b,18592,a(flip)),flip(a)]. given #16909 (H,wt=19): 18594 K(x,T(y,(z * u) \ w)) = K(x,T(y,z * (w \ u))). [hyper(17912,a,18593,a)]. given #16910 (H,wt=28): 18595 T(x,T(y,L((z / u) / w,w,u))) = (x * v5) / (K(y,T(x,w * (z \ u))) * v5). [para(18594(a,1),16011(a,2,2,1))]. given #16911 (H,wt=22): 18596 T(x,T(y,L((z / u) / w,w,u))) = T(x,T(y,w * (z \ u))). [hyper(236,a,7326,a(flip),b,18595,a)]. given #16912 (H,wt=19): 18597 T(x,T(y,z / (u * w))) = T(x,T(y,u * (z \ w))). [para(15346(a,1),18596(a,1,2))]. given #16913 (H,wt=19): 18598 T(x,T(y,(z * u) \ w)) = T(x,T(y,z * (w \ u))). [hyper(16308,a,18597,a)]. given #16914 (H,wt=19): 18599 T(x,T(y,(z * u) * w)) = T(x,T(y,z * (w \ u))). [hyper(16000,a,18598,a)]. given #16915 (H,wt=19): 18600 T(x,T(y,z \ (u \ w))) = T(x,T(y,u * (w \ z))). [hyper(236,a,17764,a(flip),b,18598,a(flip)),flip(a)]. given #16916 (H,wt=19): 18601 T(x,T(y,(z \ u) \ w)) = T(x,T(y,z * (u \ w))). [hyper(9367,a,18600,a)]. given #16917 (H,wt=22): 18602 T(x,T(y,z * (u \ w))) != v5 | T(x,T(y,(z \ u) * w)) = v5. [para(18601(a,1),16000(a,1))]. given #16918 (H,wt=31): 18588 (K(x,K(y,T(z,x * u))) * u) * (T(x,u) * K(y,z)) = (x * K(y,T(z,x * u))) * u. [para(18586(a,1),11042(a,1,2))]. given #16919 (H,wt=27): 18603 (K(x,K(y,z)) * u) * (T(x,u) * K(y,z)) = (x * K(y,T(z,x * u))) * u. [para(16034(a,1),18588(a,1,1,1))]. given #16920 (H,wt=31): 18589 (K(x,y) * (T(z,u) / K(x,y))) / K(x,T(y,u * (z / K(x,y)))) = T(z / K(x,y),u). [hyper(74,a,4615,a(flip),b,18587,a)]. given #16921 (H,wt=27): 18605 T(T(x,y),K(z,u)) / K(z,T(u,y * (x / K(z,u)))) = T(x / K(z,u),y). [para(8193(a,1),18589(a,1,1))]. given #16922 (H,wt=27): 18606 T(T(x,y),K(z,u)) / K(z,T(u,y * (x * K(u,z)))) = T(x / K(z,u),y). [para(7547(a,1),18605(a,1,2,2,2,2))]. given #16923 (H,wt=23): 18607 T(T(x,y),K(z,u)) / K(z,T(u,y * x)) = T(x / K(z,u),y). [para(7598(a,1),18606(a,1,2,2))]. given #16924 (H,wt=23): 18608 T(T(x,y),K(z,u)) * K(u,T(z,y * x)) = T(x / K(z,u),y). [hyper(7671,a,18607,a)]. given #16925 (H,wt=19): 18611 K(x,T(y,z * u)) * T(u,z) = T(u / K(y,x),z). [hyper(16087,a,18608,a)]. given #16926 (H,wt=19): 18612 K(x,T(y,z * u)) * T(u,z) = T(u * K(x,y),z). [para(7547(a,1),18611(a,2,1))]. given #16927 (H,wt=19): 18613 T(x * K(y,T(z,u * x)),u) = K(y,z) * T(x,u). [para(8051(a,1),18612(a,1,1)),flip(a)]. given #16928 (H,wt=19): 18614 T(x,T(y * K(z,u),w)) = T(x,K(z,u) * T(y,w)). [para(18612(a,1),16614(a,1,2))]. given #16929 (H,wt=19): 18615 K(x,T(y * K(z,u),w)) = K(x,T(y,w) * K(z,u)). [para(18612(a,1),16701(a,1,2))]. given #16930 (H,wt=19): 18618 T(x,T(y * K(z,u),w)) = T(x,T(y,w) * K(z,u)). [hyper(236,a,16123,a(flip),b,18614,a)]. given #16931 (H,wt=19): 18620 K(x,K(y,z) \ T(u,w)) = K(x,T(u * K(z,y),w)). [hyper(16241,a,18615,a(flip))]. given #16932 (H,wt=21): 18623 K(x,K(y,z) \ T(u / y,w)) = K(x,T(u / T(y,z),w)). [para(7555(a,1),18620(a,2,2,1))]. given #16933 (H,wt=19): 18624 K(x,T(y / T(z,K(u,w)),v5)) = K(x,T(y / z,v5)). [hyper(16673,a,18623,a),flip(a)]. given #16934 (H,wt=22): 18621 K(x,T(y * K(z,u),w)) != v5 | K(x,K(u,z) \ T(y,w)) = v5. [para(18615(a,2),16241(a,1))]. given #16935 (H,wt=23): 18616 K(x,y * T(z * K(u,w),v5)) = K(x,y * (K(u,w) * T(z,v5))). [para(18612(a,1),16707(a,1,2,2))]. given #16936 (H,wt=23): 18622 T(x,T(y,z * u) * K(z,u)) = T(x,(z * u) * (y / (u * z))). [hyper(13118,a,18618,a),flip(a)]. given #16937 (H,wt=23): 18626 K(x,y * T(z * K(u,w),v5)) = K(x,y * (T(z,v5) * K(u,w))). [hyper(236,a,16630,a(flip),b,18616,a)]. given #16938 (H,wt=23): 18627 T(x,((y * z) \ u) * (z * y)) = T(x,(y * z) * (u / (z * y))). [hyper(16833,a,18622,a)]. given #16939 (H,wt=23): 18628 T(x,((y * z) \ u) * (z * y)) = T(x,K(y,z) * T(u,z * y)). [hyper(236,a,16591,a,b,18627,a)]. given #16940 (H,wt=25): 18625 K(x,T(y / (T(z,u) * T(w,z)),v5)) = K(x,T(y / (w * T(z,u)),v5)). [para(8463(a,1),18624(a,1,2,1,2))]. given #16941 (H,wt=32): 17857 (x * (y * K(z,K(u,w)))) \ (x * (K(z,K(u,w)) * (y * v5))) = L(v5,K(z,K(u,w)) * y,x). [para(17668(a,1),16388(a,1,2,2))]. given #16942 (H,wt=32): 17940 L(x * K(y,K(z,u)),w * K(y,K(z,u)),v5) = (v5 * (w * K(y,K(z,u)))) \ (v5 * (w * x)). [para(17936(a,1),16251(a,1,1))]. given #16943 (H,wt=32): 18282 T(x,K(y * z,y \ 1) * ((z / (y * z)) * u)) = T(x,T(R(1 / y,y,z),y * z) * u). [hyper(236,a,15903,a(flip),b,18279,a(flip))]. given #16944 (H,wt=30): 18633 T(x,K(y * z,y) * ((z / (y * z)) * u)) = T(x,T(R(1 / y,y,z),y * z) * u). [hyper(236,a,18442,a(flip),b,18282,a(flip)),flip(a)]. given #16945 (H,wt=30): 18634 T(x,K(y * z,z) * ((y / (z * y)) * u)) = T(x,T(R(1 / z,z,y),z * y) * u). [hyper(16748,a,18633,a)]. given #16946 (H,wt=27): 18635 T(x,K(y * z,z) * ((y / (z * y)) * u)) = T(x,((z * y) \ (1 * y)) * u). [para(487(a,1),18634(a,2,2,1))]. given #16947 (H,wt=25): 18636 T(x,K(y * z,z) * ((y / (z * y)) * u)) = T(x,((z * y) \ y) * u). [para(11(a,1),18635(a,2,2,1,2))]. given #16948 (H,wt=23): 18637 T(x,K(y,z) * ((z / (y * z)) * u)) = T(x,((y * z) \ z) * u). [hyper(15803,a,18636,a)]. given #16949 (H,wt=19): 18638 T(x,(y / (y * z)) * u) = T(x,((z * y) \ y) * u). [hyper(236,a,18283,a(flip),b,18637,a(flip)),flip(a)]. given #16950 (H,wt=32): 18397 x * L(x \ y,y,K(x \ z,L(u,x,w))) = y * a(y \ x,z,K((w * z) \ (w * x),u)). [para(11479(a,2),18375(a,2,2,3))]. given #16951 (H,wt=32): 18404 K(x,y * (z \ K(u,L(w,v5 \ 1,y * v5)))) = K(x,((y / (v5 \ 1)) * (v5 \ K(u,w))) / z). [para(18402(a,1),17869(a,1,2,1)),flip(a)]. given #16952 (H,wt=32): 18569 K(x,K(R(y,z,z \ 1),u)) \ K(x,u * L(y,z,z \ 1)) = K(x,R(y,z,z \ 1) * u). [hyper(72,a,18567,a(flip),b,13238,a)]. given #16953 (H,wt=27): 18639 K(x,K(y,z)) \ K(x,z * L(y,u,u \ 1)) = K(x,R(y,u,u \ 1) * z). [para(14065(a,1),18569(a,1,1,2))]. given #16954 (H,wt=27): 18640 K(x,K(y,z)) * K(x,z * L(y,u,u \ 1)) = K(x,R(y,u,u \ 1) * z). [hyper(7969,a,18639,a)]. given #16955 (H,wt=21): 18642 K(x,R(y,z,z \ 1) * u) = K(x,L(y,z,z \ 1) * u). [hyper(236,a,17762,a(flip),b,18640,a(flip))]. given #16956 (H,wt=23): 18643 K(x,L(y,z,z \ 1) * (u \ 1)) = K(x,R(y,z,z \ 1) / u). [hyper(14282,a,18642,a),flip(a)]. given #16957 (H,wt=24): 18645 K(x,R(y,z,z \ 1) / u) != w | K(x,L(y,z,z \ 1) / u) = w. [para(18643(a,1),14282(a,1))]. given #16958 (H,wt=25): 18644 K(x,L(y,z,z \ 1) * (y \ u)) = K(x,(u / y) * L(y,z,z \ 1)). [hyper(236,a,18570,a(flip),b,18642,a(flip))]. given #16959 (H,wt=23): 18646 K(x,(y / z) * L(z,u,u \ 1)) = K(x,a(u \ 1,u,z) \ y). [hyper(236,a,15061,a(flip),b,18644,a(flip))]. given #16960 (H,wt=32): 18617 L(x \ R(x,K(y,z),T(u,w)),x,T(u * K(y,T(z,w * u)),w)) = a(x,K(y,z),T(u,w)). [para(18613(a,2),15482(a,2,3)),flip(a)]. given #16961 (H,wt=32): 18631 ((x * (y * K(z,K(u,w)))) \ (x * (y * v5))) * K(z,K(u,w)) = L(v5,K(z,K(u,w)) * y,x). [hyper(236,a,17925,a(flip),b,17857,a(flip)),flip(a)]. given #16962 (H,wt=32): 18647 (((x * y) \ (x * (y * z))) * K(u,K(w,v5))) * K(u,K(w,v5)) = L(z,K(u,K(w,v5)) * y,x). [para(17944(a,1),18631(a,1,1))]. given #16963 (H,wt=27): 18648 (L(x,y,z) * K(u,K(w,v5))) * K(u,K(w,v5)) = L(x,K(u,K(w,v5)) * y,z). [para(28(a,2),18647(a,1,1,1))]. given #16964 (H,wt=15): 18649 L(x,K(y,K(z,u)) * w,v5) = L(x,w,v5). [hyper(7974,a,18648,a)]. given #16965 (H,wt=15): 18652 L(x,K(y,T(z,u)),w) = L(x,K(y,z),w). [para(7265(a,1),18649(a,1,2))]. given #16966 (H,wt=13): 18654 R(x,K(y,z),u) = L(x,K(y,z),u). [hyper(236,a,17237,a(flip),b,18652,a(flip)),flip(a)]. given #16967 (H,wt=15): 18653 L(x,y * K(z,K(u,w)),v5) = L(x,y,v5). [para(7337(a,1),18649(a,1,2))]. given #16968 (H,wt=17): 18651 L(x,K(y,z) * u,w) = L(x,u * K(y,z),w). [para(4817(a,1),18649(a,1,2)),flip(a)]. given #16969 (H,wt=20): 18656 L((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). [hyper(7581,a,18654,a),flip(a)]. given #16970 (H,wt=20): 18659 L(x / y,K(x,z),y) / K(x,z) = x / (K(x,z) * y). [para(18654(a,1),14966(a,1,1))]. given #16971 (H,wt=15): 18666 (x / y) / K(x,z) = x / (K(x,z) * y). [para(16577(a,1),18659(a,1,1))]. given #16972 (H,wt=15): 18667 x / (K(x,y) * z) = (x / z) * K(y,x). [hyper(7561,a,18666,a),flip(a)]. given #16973 (H,wt=24): 18655 ((K(x,y) * z) * u) / (K(x,y) * u) = L(T(z,K(x,y)),K(x,y),u). [hyper(8209,a,18654,a)]. given #16974 (H,wt=24): 18658 L(x,K(y,z),u) * (u * K(y,z)) = (x * K(y,z)) * T(u,K(y,z)). [para(18654(a,1),10681(a,1,1))]. given #16975 (H,wt=26): 18661 (x * (y * K(z,K(u,w)))) \ (x * (y * v5)) = L(v5 * K(z,K(u,w)),y,x). [hyper(236,a,17940,a(flip),b,18653,a(flip)),flip(a)]. given #16976 (H,wt=26): 18664 L((x / y) * K(z,K(u,w)),K(w,K(z,u)),y) = x / (K(w,K(z,u)) * y). [para(7886(a,1),18656(a,1,1,2))]. given #16977 (H,wt=19): 18675 x / (K(y,K(z,u)) * w) = (x / w) * K(z,K(u,y)). [hyper(236,a,17936,a(flip),b,18664,a(flip))]. given #16978 (H,wt=19): 18677 x / (K(y,K(z,u)) * w) = (x / w) * K(y,K(z,u)). [para(7923(a,1),18675(a,2,2))]. given #16979 (H,wt=19): 18678 x / (K(y,K(z,u)) * w) = K(y,K(z,u)) * (x / w). [hyper(236,a,16057,a,b,18677,a)]. given #16980 (H,wt=21): 18679 (x / (y * z)) * K(z,K(u,w)) = x / (y * T(z,K(u,w))). [para(16093(a,1),18677(a,1,2)),flip(a)]. given #16981 (H,wt=19): 18682 K(x / (y * T(z,K(u,w))),v5) = K(x / (y * z),v5). [para(18679(a,1),16652(a,1,1))]. given #16982 (H,wt=21): 18680 (x / T(y,z)) * K(y,K(u,w)) = x / T(T(y,K(u,w)),z). [para(16133(a,1),18677(a,1,2)),flip(a)]. given #16983 (H,wt=23): 18681 K(x,K(y,z)) * (u / (K(x,y) * w)) = u / (K(x,T(y,z)) * w). [para(8576(a,1),18678(a,1,2)),flip(a)]. given #16984 (H,wt=23): 18683 K(x,y * (z / (u * T(w,K(v5,v6))))) = K(x,y * (z / (u * w))). [para(18679(a,1),16638(a,1,2,2))]. given #16985 (H,wt=23): 18684 K(x / (y * (K(z,u) * w)),v5) = K(x / (y * (w * K(z,u))),v5). [para(7222(a,1),18682(a,1,1,2,2)),flip(a)]. given #16986 (H,wt=26): 18673 K(x,K(y,z)) * ((u * w) \ (u * (w * v5))) = L(v5 * K(x,K(y,z)),w,u). [hyper(18305,a,18661,a)]. given #16987 (H,wt=21): 18686 L(x * K(y,K(z,u)),w,v5) = K(y,K(z,u)) * L(x,w,v5). [para(28(a,2),18673(a,1,2)),flip(a)]. given #16988 (H,wt=19): 18689 K(x,L(y * K(z,K(u,w)),v5,v6)) = K(x,L(y,v5,v6)). [para(18686(a,2),16623(a,1,2))]. given #16989 (H,wt=21): 18687 L(x * K(y,K(z,u)),w,v5) = L(x,w,v5) * K(y,K(z,u)). [hyper(236,a,16057,a(flip),b,18686,a)]. given #16990 (H,wt=23): 18690 K(x,L(y \ K(z,T(u,w)),v5,v6)) = K(x,L(y \ K(z,u),v5,v6)). [para(17917(a,1),18689(a,1,2,1))]. given #16991 (H,wt=25): 18688 L(K(x,y) * K(z,K(u,w)),v5,v6) = K(z,K(u,w)) * K(x,L(y,v5,v6)). [para(11470(a,1),18686(a,2,2))]. given #16992 (H,wt=25): 18691 L(K(x,y) * K(z,K(u,w)),v5,v6) = K(x,L(y,v5,v6)) * K(z,K(u,w)). [para(11470(a,1),18687(a,2,1))]. given #16993 (H,wt=27): 18663 (x * K(y,z)) * (u / (K(y,z) * x)) = x * (K(y,z) * ((u / x) * K(z,y))). [para(18656(a,1),103(a,1,2))]. given #16994 (H,wt=23): 18694 (x * K(y,z)) * (u / (K(y,z) * x)) = x * T(u / x,K(y,z)). [para(7984(a,1),18663(a,2,2))]. given #16995 (H,wt=23): 18695 (K(x,y) * z) * (u / (z * K(x,y))) = z * T(u / z,K(x,y)). [hyper(236,a,16892,a,b,18694,a(flip)),flip(a)]. given #16996 (H,wt=27): 18685 K(x,y * ((z * T(u,K(w,v5))) \ v6)) = K(x,y * (T(v6,z * u) / (z * u))). [hyper(236,a,16621,a(flip),b,18683,a(flip)),flip(a)]. given #16997 (H,wt=23): 18697 K(x,y * ((z * T(u,K(w,v5))) \ v6)) = K(x,y * ((z * u) \ v6)). [hyper(236,a,13159,a(flip),b,18685,a)]. given #16998 (H,wt=29): 18665 x * (T(K(y,z),x) * ((u / x) * K(z,y))) = (K(y,z) * x) * (u / (K(y,z) * x)). [para(18656(a,1),11115(a,1,2)),flip(a)]. given #16999 (H,wt=29): 18698 x * (K(y,T(z,x)) * ((u / x) * K(z,y))) = (K(y,z) * x) * (u / (K(y,z) * x)). [para(7256(a,2),18665(a,1,2,1))]. given #17000 (H,wt=29): 18699 x * T(K(y,K(z,x)) * (u / x),K(y,z)) = (K(y,z) * x) * (u / (K(y,z) * x)). [para(18294(a,2),18698(a,1,2))]. given #17001 (H,wt=27): 18700 (K(x,y) * z) * (u / (K(x,y) * z)) = z * T(u / T(z,K(x,y)),K(x,y)). [para(16120(a,1),18699(a,1,2,1)),flip(a)]. given #17002 (H,wt=29): 18701 x * T(K(y,z) / T(x,K(y,z)),K(y,z)) = K(y,z) * K(K(y,z) * x,x \ 1). [hyper(236,a,6020,a(flip),b,18700,a(flip))]. given #17003 (H,wt=29): 18702 x * T(T(K(y,z) / x,K(y,z)),K(y,z)) = K(y,z) * K(K(y,z) * x,x \ 1). [para(9692(a,1),18701(a,1,2,1))]. given #17004 (H,wt=21): 18703 K(x,y) * K(K(x,y) * z,z \ 1) = z * (K(x,y) / z). [para(7983(a,1),18702(a,1,2)),flip(a)]. given #17005 (H,wt=17): 18704 K(K(x,y) * z,z \ 1) = K(z,z \ K(x,y)). [hyper(17,a,5079,a,b,18703,a)]. given #17006 (H,wt=21): 18705 (K(x,y) * z) * T(1 / z,K(x,y)) = z * (K(x,y) / z). [hyper(236,a,15065,a,b,18703,a(flip)),flip(a)]. given #17007 (H,wt=23): 18707 K(x \ 1,K(y,z) * x) * K(z,y) = (x * (K(y,z) / x)) \ 1. [para(18703(a,1),14148(a,1,1)),flip(a)]. given #17008 (H,wt=23): 18709 K(x,y) * K(z \ 1,z * K(x,y)) = (z * (K(y,x) / z)) \ 1. [hyper(16360,a,18707,a)]. given #17009 (H,wt=19): 18710 (x * (K(y,z) / x)) \ 1 = (x \ 1) * (K(z,y) * x). [hyper(236,a,14517,a(flip),b,18709,a(flip))]. given #17010 (H,wt=21): 18711 K(x \ K(y,z),x) * K(z,y) = (x \ 1) * (K(z,y) * x). [hyper(14620,a,18710,a)]. given #17011 (H,wt=19): 18712 1 / (x * (K(y,z) / x)) = (x \ 1) * (K(z,y) * x). [hyper(236,a,14868,a(flip),b,18711,a(flip)),flip(a)]. given #17012 (H,wt=24): 18708 K(x,y) * K(K(x,y) * z,z \ 1) != u | z * (K(x,y) / z) = u. [para(18704(a,2),5323(a,1,2))]. given #17013 (H,wt=31): 18671 ((K(x,y) * (z \ u)) * K(y,x)) * T(z,K(y,x)) = ((z * K(y,x)) \ u) * (z * K(y,x)). [para(5277(a,1),18658(a,1,1)),flip(a)]. given #17014 (H,wt=27): 18713 ((x * K(y,z)) \ u) * (x * K(y,z)) = T(x \ u,K(z,y)) * T(x,K(y,z)). [para(7986(a,1),18671(a,1,1)),flip(a)]. given #17015 (H,wt=27): 18714 ((x * K(y,z)) \ u) * (x * K(y,z)) = T(x \ u,K(z,y)) * T(x,K(z,y)). [para(7981(a,1),18713(a,2,2))]. given #17016 (H,wt=27): 18715 ((K(x,y) * z) \ u) * (K(x,y) * z) = T(z \ u,K(y,x)) * T(z,K(y,x)). [hyper(18534,a,18714,a)]. given #17017 (H,wt=27): 18716 ((K(x,y) * z) \ u) * (K(x,y) * z) = T(z \ u,K(x,y)) * T(z,K(y,x)). [para(7981(a,1),18715(a,2,1))]. given #17018 (H,wt=27): 18717 ((K(x,y) * z) \ u) * (K(x,y) * z) = T(z \ u,K(x,y)) * T(z,K(x,y)). [para(7981(a,1),18716(a,2,2))]. given #17019 (H,wt=31): 18718 L(x,y,T((z \ u) \ w,K(z,v5)) * T(z \ u,K(z,v5))) = L(x,y,T(w,T(z,v5) \ u)). [para(18717(a,1),15689(a,1,3))]. given #17020 (H,wt=32): 18660 L(x \ L(x,K(y,z),T(u,w)),x,T(u * K(y,T(z,w * u)),w)) = a(x,K(y,z),T(u,w)). [para(18654(a,1),18617(a,1,1,2))]. given #17021 (H,wt=32): 18670 ((K(x,y) * (K(z,u) * w)) * v5) / (K(z,u) * v5) = L(T(K(x,y) * w,K(z,u)),K(z,u),v5). [para(17966(a,1),18655(a,1,1,1))]. given #17022 (H,wt=32): 18693 K(x,T((y * K(z,T(u,w))) / v5,y \ v5)) = K(x,L((v5 / y) \ K(z,T(u,y)),v5 / y,y)). [hyper(236,a,16522,a(flip),b,18690,a(flip)),flip(a)]. given #17023 (H,wt=29): 18720 K(x,T((y * K(z,T(u,w))) / v5,y \ v5)) = K(x,(y * (v5 / y)) \ (K(z,u) * y)). [para(7285(a,1),18693(a,2,2))]. given #17024 (H,wt=33): 18035 T(T(L(x,y,z) * K(u,x),u),K(L(x,y,z),x \ u)) = L(x,y,z) * a(x,y,K(z,x \ u)). [hyper(236,a,15229,a,b,18034,a(flip)),flip(a)]. given #17025 (H,wt=31): 18721 T(T(L(x,y,z) * K(u,x),u),K(L(x,y,z),x \ u)) = L(x,y,z) * a(x,y,K(z,u)). [para(17915(a,1),18035(a,2,2))]. given #17026 (H,wt=28): 18722 T(T(L(x,y,z) * K(u,x),u),K(x,x \ u)) = L(x,y,z) * a(x,y,K(z,u)). [hyper(18094,a,18721,a)]. given #17027 (H,wt=26): 18723 T(T(L(x,y,z) * K(u,x),u),K(x,u)) = L(x,y,z) * a(x,y,K(z,u)). [hyper(9319,a,18722,a)]. given #17028 (H,wt=24): 18724 T(L(x,y,z) * K(u,x),T(u,x)) = L(x,y,z) * a(x,y,K(z,u)). [hyper(7997,a,18723,a)]. given #17029 (H,wt=22): 18725 T(K(x,y) * L(y,z,u),x) = L(y,z,u) * a(y,z,K(u,x)). [hyper(236,a,8010,a(flip),b,18724,a(flip)),flip(a)]. given #17030 (H,wt=33): 18265 K(K(x,K(y,z)) * (((K(x,y) * z) \ u) * w),v5) = K((T(K(x,y) * z,T(z,v6)) \ u) * w,v5). [para(16605(a,1),18264(a,1,1,1))]. given #17031 (H,wt=27): 18726 K((T(K(x,y) * z,T(z,u)) \ w) * v5,v6) = K(((K(x,y) * z) \ w) * v5,v6). [hyper(16651,a,18265,a),flip(a)]. given #17032 (H,wt=23): 18728 K(((K(x,y) * z) \ u) * w,v5) = K(((z * K(x,y)) \ u) * w,v5). [para(16447(a,1),18726(a,1,1,1,1)),flip(a)]. given #17033 (H,wt=25): 18730 K(((K(x,y) * (z * x)) \ u) * w,v5) = K(((z * T(x,y)) \ u) * w,v5). [para(6201(a,1),18728(a,2,1,1,1))]. given #17034 (H,wt=29): 18731 K(((K(x \ y,x) * (z * x)) \ u) * w,v5) = K(((z * (y / (y / x))) \ u) * w,v5). [para(7703(a,1),18728(a,2,1,1,1))]. given #17035 (H,wt=31): 18729 K(x * ((y * K(z,u)) \ w),T(v5,(y * K(z,u)) \ w)) = K(((K(z,u) * y) \ w) * x,v5). [hyper(236,a,13395,a,b,18728,a),flip(a)]. given #17036 (H,wt=33): 18423 K(x,y / (z * u)) * a(x,y,K(y \ z,(z * u) \ y)) = K(x,(y * L(u \ 1,u,z)) / z). [hyper(18306,a,18418,a)]. given #17037 (H,wt=33): 18465 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(236,a,16828,a,b,18463,a(flip)),flip(a)]. given #17038 (H,wt=29): 18733 K(((x \ y) * x) / (L(K(z,u),w,v5) * x),v6) = K(x \ (L(K(u,z),w,v5) * y),v6). [hyper(16686,a,18465,a)]. given #17039 (H,wt=33): 18547 K(x,y * (T(z * u,K(w,L(v5,z,u))) * K(w,L(v5,z,u)))) = K(x,y * ((K(w,v5) * z) * u)). [para(15367(a,1),18542(a,2,2,2))]. given #17040 (H,wt=30): 18734 K(x,y * (T(z * u,K(w,v5)) * K(w,L(v5,z,u)))) = K(x,y * ((K(w,v5) * z) * u)). [para(18043(a,1),18547(a,1,2,2,1))]. given #17041 (H,wt=30): 18735 K(x,y * T((z * u) * K(w,L(v5,z,u)),K(w,v5))) = K(x,y * ((K(w,v5) * z) * u)). [hyper(236,a,18626,a,b,18734,a(flip)),flip(a)]. given #17042 (H,wt=29): 18737 K(x,y * T(z * (T(u,z) * K(w,v5)),K(w,v5))) = K(x,y * ((K(w,v5) * u) * z)). [para(11506(a,1),18735(a,1,2,2,1))]. given #17043 (H,wt=25): 18738 K(x,y * (z * (T(u,z) * K(w,v5)))) = K(x,y * ((K(w,v5) * u) * z)). [hyper(16670,a,18737,a)]. given #17044 (H,wt=33): 18692 T(L((x * K(y,x)) * K(y,K(z,u)),w,v5),y * K(u,z)) = y \ T(y * L(x,w,v5),K(z,u)). [para(18687(a,2),16500(a,1,1))]. given #17045 (H,wt=33): 18732 K(x,y / (z * u)) * a(x,y,K(y \ z,u \ (z \ y))) = K(x,(y * L(u \ 1,u,z)) / z). [para(14575(a,1),18423(a,1,2,3))]. given #17046 (H,wt=29): 18741 K(x,y / (z * u)) * a(u,y,K(x,z \ y)) = K(x,(y * L(u \ 1,u,z)) / z). [para(14212(a,1),18732(a,1,2))]. given #17047 (H,wt=33): 18740 T(L(x * (K(y,x) * K(y,K(z,u))),w,v5),y * K(u,z)) = y \ T(y * L(x,w,v5),K(z,u)). [para(5574(a,1),18692(a,1,1,1))]. given #17048 (H,wt=31): 18742 T(L((x * y) / T(x,K(z,u)),w,v5),x * K(u,z)) = x \ T(x * L(y,w,v5),K(z,u)). [para(8437(a,1),18740(a,1,1,1))]. given #17049 (H,wt=31): 18743 L(T((x * y) / T(x,K(z,u)),x * K(u,z)),w,v5) = x \ T(x * L(y,w,v5),K(z,u)). [hyper(236,a,40,a,b,18742,a(flip)),flip(a)]. given #17050 (H,wt=25): 18744 L(x \ T(x * y,K(z,u)),w,v5) = x \ T(x * L(y,w,v5),K(z,u)). [para(16450(a,1),18743(a,1,1))]. given #17051 (H,wt=34): 17854 (K(x,K(y,z)) * (u * (w * v5))) \ (((K(x,K(y,z)) * u) * w) * v5) = a(K(x,K(y,z)) * u,w,v5). [para(17668(a,1),24(a,2,1)),flip(a)]. given #17052 (H,wt=34): 18296 (x * ((y * K(z,K(u,w))) * v5)) \ (K(z,K(u,w)) * ((x * y) * v5)) = a(x,y * K(z,K(u,w)),v5). [hyper(72,a,17893,a(flip),b,91,a)]. given #17053 (H,wt=34): 18346 K(x,(a(y,z,u) * (w \ 1)) \ v5) != v6 | K(x,L(w * (a(y,z,u) \ v5),v5,a(u,z,y) \ 1)) = v6. [para(14662(a,1),17963(a,1))]. given #17054 (H,wt=34): 18549 T(T(x,K(y,z * (u * w))),(z \ (T(w,u) * u)) * y) != v5 | T(x,y * (z \ (T(w,u) * u))) = v5. [para(18542(a,1),16585(a,1,1,2))]. given #17055 (H,wt=34): 18662 L((x / K(y \ K(z,u),y)) * K(u,z),K(z,u),K(y \ K(z,u),y)) = x / ((y \ K(z,u)) * y). [para(249(a,1),18656(a,2,2))]. given #17056 (H,wt=34): 18746 (K(x,K(y,z)) * (u * (w * v5))) \ ((K(x,K(y,z)) * (u * w)) * v5) = a(K(x,K(y,z)) * u,w,v5). [para(17668(a,1),17854(a,1,2,1))]. given #17057 (H,wt=34): 18747 (x * (K(y,K(z,u)) * (w * v5))) \ (K(y,K(z,u)) * ((x * w) * v5)) = a(x,w * K(y,K(z,u)),v5). [para(17855(a,1),18296(a,1,1,2))]. given #17058 (H,wt=34): 18748 L((x * K(y,y \ K(z,u))) * K(u,z),K(z,u),K(y \ K(z,u),y)) = x / ((y \ K(z,u)) * y). [para(7547(a,1),18662(a,1,1,1))]. given #17059 (H,wt=34): 18749 (K(x,K(y,z)) * (u * (w * v5))) \ (K(x,K(y,z)) * ((u * w) * v5)) = a(K(x,K(y,z)) * u,w,v5). [para(17668(a,1),18746(a,1,2))]. given #17060 (H,wt=34): 18750 K(x,K(y,z)) * ((u * (K(x,K(y,z)) * (w * v5))) \ ((u * w) * v5)) = a(u,w * K(x,K(y,z)),v5). [hyper(17919,a,18747,a)]. given #17061 (H,wt=34): 18751 ((K(x,K(y,z)) * (u * (w * v5))) \ ((u * w) * v5)) * K(x,K(y,z)) = a(K(x,K(y,z)) * u,w,v5). [hyper(236,a,17889,a(flip),b,18749,a(flip)),flip(a)]. given #17062 (H,wt=34): 18752 K(x,K(y,z)) * (K(x,K(y,z)) * ((u * (w * v5)) \ ((u * w) * v5))) = a(u,w * K(x,K(y,z)),v5). [para(17947(a,1),18750(a,1,2))]. given #17063 (H,wt=27): 18754 K(x,K(y,z)) * (K(x,K(y,z)) * a(u,w,v5)) = a(u,w * K(x,K(y,z)),v5). [para(24(a,2),18752(a,1,2,2))]. given #17064 (H,wt=15): 18755 a(x,y * K(z,K(u,w)),v5) = a(x,y,v5). [hyper(7966,a,18754,a)]. given #17065 (H,wt=13): 18756 a(x,T(y,K(z,u)),w) = a(x,y,w). [para(4887(a,2),18755(a,1,2))]. given #17066 (H,wt=15): 18757 a(x,T(y,T(z,u)),w) = a(x,T(y,z),w). [para(7135(a,1),18756(a,1,2))]. given #17067 (H,wt=15): 18758 a(x,T(y,z),T(z,u)) = a(x,y,T(z,u)). [hyper(15629,a,18757,a),flip(a)]. given #17068 (H,wt=11): 18760 a(x,y,T(z,y)) = a(x,y,z). [hyper(8762,a,18758,a),flip(a)]. given #17069 (H,wt=17): 18762 a(x,y \ z,(y \ z) \ z) = a(x,y \ z,y). [para(120(a,1),18760(a,1,3))]. given #17070 (H,wt=18): 18763 (x * (y * z)) * a(x,z,y) = (x * z) * T(y,z). [para(18760(a,1),678(a,1,2))]. given #17071 (H,wt=18): 18764 a(x,y,z) * (x * (z * y)) = (x * y) * T(z,y). [para(18760(a,1),14985(a,1,1))]. given #17072 (H,wt=19): 18766 (a(x,y,z) * u) \ ((a(x,y,z) * w) * u) = T(w,u). [hyper(14987,a,18764,a)]. given #17073 (H,wt=17): 18770 T(a(x,y,z) \ 1,u) = (a(x,y,z) * u) \ u. [para(54(a,1),18766(a,1,2)),flip(a)]. given #17074 (H,wt=19): 18767 (a(x,y,z) * u) * T(w,u) = (a(x,y,z) * w) * u. [hyper(236,a,14984,a(flip),b,18764,a(flip))]. given #17075 (H,wt=19): 18769 (a(x,y,z) * u) \ (w * u) = T(a(x,y,z) \ w,u). [para(14(a,1),18766(a,1,2,1))]. given #17076 (H,wt=19): 18779 (x * a(x,y,z)) * T(u,x) = (a(x,y,z) * u) * x. [para(12748(a,1),18767(a,1,1))]. given #17077 (H,wt=19): 18783 T(a(x,y,z) \ (u / w),w) = (a(x,y,z) * w) \ u. [para(16(a,1),18769(a,1,2)),flip(a)]. given #17078 (H,wt=21): 18765 (x * (y * z)) \ ((x * z) * T(y,z)) != u | a(x,z,y) = u. [para(18763(a,1),283(a,1,2)),flip(b)]. given #17079 (H,wt=16): 18789 a(x * K(y,z),z,y) != u | a(x,z,y) = u. [para(10464(a,1),18765(a,1))]. given #17080 (H,wt=21): 18774 (a(x,y,K(z,u)) * w) * v5 = w * (a(x,y,K(z,u)) * v5). [hyper(18047,a,18767,a),flip(a)]. given #17081 (H,wt=19): 18790 x * (a(y,z,K(x,u)) * w) = L(x,z,K(u,y)) * w. [para(14674(a,1),18774(a,1,1)),flip(a)]. given #17082 (H,wt=19): 18792 x * (y * a(z,u,K(x,w))) = L(x,u,K(w,z)) * y. [para(17667(a,1),18790(a,1,2))]. given #17083 (H,wt=19): 18793 x * (y * a(x,z,K(u,w))) = L(x,z,K(u,w)) * y. [para(17791(a,1),18790(a,1,2))]. given #17084 (H,wt=21): 18782 T(a(x,y,z) \ u,u \ w) = (a(x,y,z) * (u \ w)) \ w. [para(14(a,1),18769(a,1,2)),flip(a)]. given #17085 (H,wt=21): 18787 (a(x,y,z) \ (u / w)) * w = w * ((a(x,y,z) * w) \ u). [para(18783(a,1),119(a,1,2)),flip(a)]. given #17086 (H,wt=22): 18768 (a(x,y,z) * u) * (a(x,y,z) \ 1) = T(u,a(x,y,z) \ 1). [hyper(236,a,125,a(flip),b,18766,a(flip)),flip(a)]. given #17087 (H,wt=22): 18771 (a(x,y,z) * u) * T(w,u) != v5 | (a(x,y,z) * w) * u = v5. [para(18766(a,1),216(a,1,2)),flip(b)]. given #17088 (H,wt=22): 18791 x * (a(y,z,K(x,u)) * (z * K(u,y))) = (x * z) * K(u,y). [hyper(236,a,15604,a(flip),b,18790,a)]. given #17089 (H,wt=20): 18798 x * (y * K(z,L(u,y,x \ 1))) = (x * y) * K(z,u). [para(18478(a,1),18791(a,1,2))]. given #17090 (H,wt=15): 18801 K(x,L(L(y,z,u \ 1),z,u)) = K(x,y). [hyper(11579,a,18798,a(flip))]. given #17091 (H,wt=20): 18804 K(x \ (y * z),L(u,x,y \ 1)) = K((y \ x) \ z,u). [hyper(236,a,14569,a(flip),b,18801,a(flip)),flip(a)]. given #17092 (H,wt=20): 18805 K(x,L((y * z) \ u,z,y \ 1)) = K(x,z \ (y \ u)). [para(510(a,1),18801(a,1,2))]. given #17093 (H,wt=22): 18800 (x \ y) * K(z,L(u,x \ y,x \ 1)) = x \ (y * K(z,u)). [hyper(72,a,90,a(flip),b,18798,a),flip(a)]. given #17094 (H,wt=19): 18812 T(x,K(y,z \ (u * K(w,v5)))) = T(x,K(y,z \ u)). [para(18800(a,1),16998(a,1,2,2))]. given #17095 (H,wt=20): 18813 (x \ y) * K(z,L(u,y,x \ 1)) = x \ (y * K(z,u)). [para(18029(a,1),18800(a,1,2))]. given #17096 (H,wt=20): 18817 K(x,L(y \ (z * u),y,z \ 1)) = K(x,(z \ y) \ u). [hyper(17,a,11718,a(flip),b,18813,a)]. given #17097 (H,wt=21): 18815 T(x,K(y,z \ (T(u,w) * v5))) = T(x,K(y,z \ (u * v5))). [para(5689(a,1),18812(a,1,2,2,2))]. given #17098 (H,wt=21): 18816 T(x,K(y,z \ (T(u,w) \ v5))) = T(x,K(y,z \ (u \ v5))). [para(8578(a,1),18812(a,1,2,2,2))]. given #17099 (H,wt=22): 18803 K((x * y) \ z,L(u,x \ z,x \ 1)) = K(y \ (x \ z),u). [hyper(11491,a,18801,a)]. given #17100 (H,wt=22): 18808 K(x,L(y,z,z \ 1) \ ((z \ 1) * u)) = K(x,y \ (z \ u)). [hyper(236,a,18439,a(flip),b,18805,a(flip)),flip(a)]. given #17101 (H,wt=20): 18821 K(x,L((y * z) \ u,u,y \ 1)) = K(x,z \ (y \ u)). [hyper(236,a,11723,a,b,18808,a(flip)),flip(a)]. given #17102 (H,wt=21): 18822 K(x,(y * z) \ L(y,u,w)) = K(x,z \ (y \ L(y,u,w))). [hyper(14408,a,18821,a)]. given #17103 (H,wt=22): 18819 K(x,L(y \ (z * u),z * u,z \ 1)) = K(x,(z \ y) \ u). [hyper(11592,a,18817,a)]. given #17104 (H,wt=20): 18824 K(x,L(y \ (z * u),u,z \ 1)) = K(x,(z \ y) \ u). [hyper(236,a,18028,a(flip),b,18819,a(flip)),flip(a)]. given #17105 (H,wt=23): 18775 T(a(x,y,z) * (u * K(w,u)),w) = w \ ((a(x,y,z) * w) * u). [hyper(394,a,18767,a(flip),b,7746,a)]. given #17106 (H,wt=21): 18825 x \ ((a(x,y,y \ 1) * x) * z) = a(x,y,y \ 1) * z. [hyper(236,a,11233,a(flip),b,18775,a(flip))]. given #17107 (H,wt=19): 18826 x \ (R(x,y,y \ 1) * z) = a(x,y,y \ 1) * z. [para(3699(a,1),18825(a,1,2,1))]. given #17108 (H,wt=19): 18827 R(x,y,y \ 1) * (x \ z) = a(x,y,y \ 1) * z. [hyper(1496,a,18826,a)]. given #17109 (H,wt=19): 18828 R(x,y,y \ 1) \ (x * z) = a(x,y,y \ 1) \ z. [hyper(530,a,18826,a),flip(a)]. given #17110 (H,wt=14): 18837 T(x,a(y,z,z \ 1) \ z) = T(x,z). [para(18828(a,1),6533(a,1,2))]. given #17111 (H,wt=19): 18829 x * (a(x,y,y \ 1) * z) = R(x,y,y \ 1) * z. [para(18826(a,1),14(a,1,2))]. given #17112 (H,wt=19): 18831 (x / y) * R(y,z,z \ 1) = a(y,z,z \ 1) * x. [hyper(236,a,15425,a(flip),b,18827,a(flip)),flip(a)]. given #17113 (H,wt=19): 18833 x * (R(x,y,y \ 1) \ z) = a(x,y,y \ 1) \ z. [hyper(1510,a,18828,a)]. given #17114 (H,wt=19): 18835 R(x,y,y \ 1) * (a(x,y,y \ 1) \ z) = x * z. [para(18828(a,1),14(a,1,2))]. given #17115 (H,wt=19): 18836 a(x,y,y \ 1) \ (x \ z) = R(x,y,y \ 1) \ z. [para(14(a,1),18828(a,1,2)),flip(a)]. given #17116 (H,wt=19): 18838 a(x,y,y \ 1) * (z / R(x,y,y \ 1)) = z / x. [hyper(17,a,15014,a(flip),b,18829,a)]. given #17117 (H,wt=19): 18841 a(x,y,y \ 1) * (z * x) = z * R(x,y,y \ 1). [para(15(a,1),18831(a,1,1)),flip(a)]. given #17118 (H,wt=19): 18843 (R(x,y,y \ 1) \ x) \ (a(x,y,y \ 1) \ 1) = 1. [hyper(243,a,1504,a(flip),b,18833,a(flip))]. given #17119 (H,wt=19): 18846 (x * y) / R(y,z,z \ 1) = a(y,z,z \ 1) \ x. [hyper(72,a,15,a(flip),b,18838,a),flip(a)]. given #17120 (H,wt=19): 18847 (x * y) \ (x * R(y,z,z \ 1)) = a(y,z,z \ 1). [hyper(72,a,18841,a(flip),b,13894,a(flip))]. given #17121 (H,wt=16): 18853 L(a(x,y,y \ 1),x,z) = a(x,y,y \ 1). [hyper(788,a,18847,a)]. given #17122 (H,wt=21): 18834 L((x \ 1) \ 1,x \ 1,y * x) = a(y,x,x \ 1) \ x. [hyper(655,a,18828,a)]. given #17123 (H,wt=21): 18849 (R(x,y,y \ 1) \ x) \ 1 = (a(x,y,y \ 1) \ 1) \ 1. [para(18843(a,1),15301(a,1,2)),flip(a)]. given #17124 (H,wt=17): 18855 (R(x,y,y \ 1) \ x) \ 1 = a(x,y,y \ 1). [hyper(236,a,13891,a(flip),b,18849,a)]. given #17125 (H,wt=21): 18850 L((x \ 1) \ 1,x \ 1,x * y) = a(y,x,x \ 1) \ x. [hyper(6924,a,18846,a)]. given #17126 (H,wt=21): 18851 (x * y) / R(y,z,z \ 1) = y * (R(y,z,z \ 1) \ x). [hyper(236,a,18833,a,b,18846,a)]. given #17127 (H,wt=21): 18852 (x * y) / R(y,z,z \ 1) = R(y,z,z \ 1) \ (y * x). [hyper(236,a,18828,a,b,18846,a)]. given #17128 (H,wt=21): 18859 x * (R(y,z,z \ 1) \ y) = x * (a(y,z,z \ 1) \ 1). [para(18855(a,1),10428(a,1,2,1)),flip(a)]. given #17129 (H,wt=22): 18845 R(x,y,y \ 1) \ (x * z) != u | a(x,y,y \ 1) \ z = u. [para(18835(a,1),283(a,1,2)),flip(b)]. given #17130 (H,wt=22): 18861 (x * y) / R(y,z,z \ 1) != u | a(y,z,z \ 1) \ x = u. [para(18852(a,2),18845(a,1))]. given #17131 (H,wt=23): 18780 (x * a(y,z,z \ 1)) * T(u,x) = (a(y,z,z \ 1) * u) * x. [para(13894(a,1),18767(a,1,1))]. given #17132 (H,wt=23): 18781 T(K(x,y) * (a(z,u,w) * y),x) = x \ ((a(z,u,w) * x) * y). [para(18767(a,1),18288(a,1,2)),flip(a)]. given #17133 (H,wt=23): 18788 T((a(x,y,z) \ u) * K(w,u),w) = (a(x,y,z) * w) \ (w * u). [para(14226(a,1),18783(a,1,1))]. given #17134 (H,wt=23): 18794 (a(x,y,z) \ u) * T(w,u) = w * ((a(x,y,z) * w) \ (w * u)). [hyper(236,a,14266,a(flip),b,18787,a(flip)),flip(a)]. given #17135 (H,wt=23): 18814 K(x,y * (z \ (u * K(w,v5)))) = K(x,y * ((z \ u) * K(w,v5))). [para(18800(a,1),18268(a,1,2,2))]. given #17136 (H,wt=23): 18832 K(x,(y / z) * L(z,u,u \ 1)) = K(x,a(z,u,u \ 1) * y). [para(18827(a,1),18570(a,1,2)),flip(a)]. given #17137 (H,wt=21): 18864 K(x,a(y \ 1,y,z) \ u) = K(x,a(z,y,y \ 1) * u). [hyper(236,a,18646,a(flip),b,18832,a(flip)),flip(a)]. given #17138 (H,wt=24): 18777 (a(x,y,z) * u) * T(w,u) != u * v5 | T(a(x,y,z) * w,u) = v5. [para(18767(a,2),169(a,2)),flip(a)]. given #17139 (H,wt=24): 18858 (1 / a(x,y,y \ 1)) \ z != u | (R(x,y,y \ 1) \ x) \ z = u. [para(18855(a,1),519(a,1,1,2))]. given #17140 (H,wt=25): 18776 (a(x,y,z) * u) * L(T(w,u),v5,v6) = (a(x,y,z) * L(w,v5,v6)) * u. [para(40(a,2),18767(a,1,2))]. given #17141 (H,wt=25): 18778 (a(x,y,z) * T(u,K(w,v5))) * K(w,v5) = (a(x,y,z) * K(w,v5)) * u. [para(7983(a,1),18767(a,1,2)),flip(a)]. given #17142 (H,wt=25): 18796 T(a(x,y,z) \ u,a(x,y,z) \ 1) != w | u * (a(x,y,z) \ 1) = w. [para(18768(a,1),515(a,1))]. given #17143 (H,wt=19): 18865 x * (a(y,z,z \ 1) \ 1) = a(y,z,z \ 1) \ x. [hyper(18796,a,10424,a)]. given #17144 (H,wt=19): 18867 x * (R(y,z,z \ 1) \ y) = a(y,z,z \ 1) \ x. [hyper(236,a,18859,a,b,18865,a(flip)),flip(a)]. given #17145 (H,wt=23): 18870 a(x,1 / y,(1 / y) \ 1) \ z = z * (R(x,y \ 1,y) \ x). [para(7073(a,1),18867(a,1,2,1)),flip(a)]. given #17146 (H,wt=19): 18871 x * (R(y,z \ 1,z) \ y) = a(y,1 / z,z) \ x. [para(65(a,1),18870(a,1,1,3)),flip(a)]. given #17147 (H,wt=19): 18872 x * (R(y,z \ 1,z) \ y) = a(y,z \ 1,z) \ x. [para(3626(a,1),18871(a,2,1))]. given #17148 (H,wt=25): 18860 (a(x,y,y \ 1) \ y) \ ((y \ 1) \ 1) = L(y,y \ 1,y * x) \ y. [para(18850(a,1),6991(a,1,1))]. given #17149 (H,wt=25): 18862 ((x * a(y,z,z \ 1)) * u) \ ((a(y,z,z \ 1) * u) * x) = K(u,x). [hyper(72,a,18780,a(flip),b,6201,a)]. given #17150 (H,wt=26): 18773 T(x,a(y,z,u)) * ((x * a(y,z,u)) \ x) = x * T(a(y,z,u) \ 1,x). [para(18770(a,2),11061(a,2,2))]. given #17151 (H,wt=26): 18806 T(x,K((y \ z) \ u,w) * v5) != v6 | T(x,K(z \ (y * u),w) * v5) = v6. [para(18804(a,1),18092(a,1,2,1))]. given #17152 (H,wt=26): 18807 K(x,(y * z) \ u) * a((y * z) \ u,z,K(y,x)) = K(x,z \ (y \ u)). [hyper(17965,a,18805,a)]. given #17153 (H,wt=24): 18873 K(x,(y * z) \ u) * a(x,z,K(z \ u,y)) = K(x,z \ (y \ u)). [para(17420(a,1),18807(a,1,2))]. given #17154 (H,wt=24): 18874 a(x,y,K(y \ z,u)) * K(x,(u * y) \ z) = K(x,y \ (u \ z)). [hyper(17808,a,18873,a)]. given #17155 (H,wt=26): 18820 K(x,K(y \ (z \ u),w) * v5) != v6 | K(x,K((z * y) \ u,w) * v5) = v6. [para(18803(a,1),18107(a,1,2,1))]. given #17156 (H,wt=26): 18830 x * (a(x,y,y \ 1) * z) != u * w | (R(x,y,y \ 1) * z) / w = u. [para(18826(a,1),529(a,1,2))]. given #17157 (H,wt=26): 18848 a(x,y,y \ 1) * (z * x) != u * w | u \ (z * R(x,y,y \ 1)) = w. [para(18841(a,2),545(a,1))]. given #17158 (H,wt=26): 18869 a(x,x \ y,(x \ y) \ 1) \ z = z * ((x \ (y * ((x \ y) \ 1))) \ 1). [para(687(a,1),18865(a,1,2,1)),flip(a)]. given #17159 (H,wt=25): 18876 x * ((y \ (z * ((y \ z) \ 1))) \ 1) = (y \ (z * ((y \ z) \ 1))) \ x. [para(687(a,1),18869(a,1,1)),flip(a)]. given #17160 (H,wt=25): 18877 ((x \ (y * ((x \ y) \ 1))) * z) \ z = (x \ (y * ((x \ y) \ 1))) \ 1. [hyper(72,a,13,a(flip),b,18876,a)]. given #17161 (H,wt=27): 18795 T(x,y / (y * ((a(z,u,w) * y) \ v5))) = T(x,(a(z,u,w) \ (v5 / y)) \ 1). [para(18787(a,1),4186(a,1,2,2))]. given #17162 (H,wt=27): 18878 T(x,(((a(y,z,u) * w) \ v5) * w) \ w) = T(x,(a(y,z,u) \ (v5 / w)) \ 1). [hyper(8682,a,18795,a)]. given #17163 (H,wt=25): 18879 T(x,T(y \ (a(z,u,w) * v5),v5)) = T(x,(a(z,u,w) \ (y / v5)) \ 1). [hyper(236,a,9767,a(flip),b,18878,a(flip)),flip(a)]. given #17164 (H,wt=28): 18786 K(a(x,y,z) \ (u / w),w) \ ((a(x,y,z) * w) \ u) = a(x,y,z) \ (u / w). [hyper(72,a,18783,a(flip),b,4897,a(flip))]. given #17165 (H,wt=28): 18797 a(a(x,y,z),u,w) * (a(x,y,z) * (w * u)) != v5 | (a(x,y,z) * w) * u = v5. [para(18764(a,2),18771(a,1))]. given #17166 (H,wt=28): 18840 a(R(x,x \ y,z),u,u \ 1) * (y * z) = (R(x,u,u \ 1) * (x \ y)) * z. [hyper(15650,a,18831,a),flip(a)]. given #17167 (H,wt=26): 18882 a(R(x,x \ y,z),u,u \ 1) * (y * z) = (a(x,u,u \ 1) * y) * z. [para(18827(a,1),18840(a,2,1))]. given #17168 (H,wt=21): 18883 a(R(x,x \ y,z),u,u \ 1) = R(a(x,u,u \ 1),y,z). [hyper(18,a,113,a,b,18882,a)]. given #17169 (H,wt=24): 18884 a(((x \ y) * z) \ (y * z),u,u \ 1) = R(a(x,u,u \ 1),y,z). [hyper(236,a,15571,a(flip),b,18883,a(flip)),flip(a)]. given #17170 (H,wt=28): 18866 (a(x,y,y \ 1) \ 1) * T(z,a(x,y,y \ 1) \ 1) = a(x,y,y \ 1) \ z. [hyper(222,a,18865,a)]. given #17171 (H,wt=19): 18885 (a(x,y,y \ 1) \ 1) * z = a(x,y,y \ 1) \ z. [para(10424(a,1),18866(a,1,2))]. given #17172 (H,wt=19): 18886 (a(x,y,y \ 1) \ 1) \ z = a(x,y,y \ 1) * z. [hyper(72,a,13,a(flip),b,18885,a)]. given #17173 (H,wt=19): 18887 (a(x,y,y \ 1) \ 1) \ z = z * a(x,y,y \ 1). [hyper(236,a,13894,a(flip),b,18886,a)]. given #17174 (H,wt=19): 18889 (1 / a(x,y,y \ 1)) \ z = a(x,y,y \ 1) * z. [para(12738(a,2),18886(a,1,1))]. given #17175 (H,wt=19): 18890 (R(x,y,y \ 1) \ x) \ z = a(x,y,y \ 1) * z. [hyper(18858,a,18889,a)]. given #17176 (H,wt=23): 18888 a(x,1 / y,(1 / y) \ 1) * z = (a(x,1 / y,y) \ 1) \ z. [para(65(a,1),18886(a,1,1,1,3)),flip(a)]. given #17177 (H,wt=23): 18894 a(x,1 / y,(1 / y) \ 1) * z = (a(x,y \ 1,y) \ 1) \ z. [para(3626(a,1),18888(a,2,1,1))]. given #17178 (H,wt=19): 18895 (a(x,y \ 1,y) \ 1) \ z = a(x,1 / y,y) * z. [para(65(a,1),18894(a,1,1,3)),flip(a)]. given #17179 (H,wt=19): 18896 (a(x,y \ 1,y) \ 1) \ z = a(x,y \ 1,y) * z. [para(3626(a,1),18895(a,2,1))]. given #17180 (H,wt=19): 18897 (a(x,y \ 1,y) \ 1) * z = a(x,y \ 1,y) \ z. [hyper(305,a,18896,a),flip(a)]. given #17181 (H,wt=19): 18898 (a(x,y \ 1,y) \ z) / z = a(x,y \ 1,y) \ 1. [hyper(87,a,18897,a)]. given #17182 (H,wt=21): 18899 T((a(x,y \ 1,y) \ z) / z,u) = a(x,y \ 1,y) \ 1. [para(18898(a,2),11934(a,1,1))]. given #17183 (H,wt=19): 18900 x * (a(y,z \ 1,z) \ 1) = a(y,z \ 1,z) \ x. [para(18899(a,1),167(a,1,2))]. given #17184 (H,wt=28): 18880 K(a(x,y,z) \ (u \ w),u) \ ((a(x,y,z) * u) \ w) = a(x,y,z) \ (w / u). [para(7493(a,1),18786(a,1,1))]. given #17185 (H,wt=28): 18901 K(x,a(y,z,u) \ (x \ w)) * ((a(y,z,u) * x) \ w) = a(y,z,u) \ (w / x). [hyper(5286,a,18880,a)]. given #17186 (H,wt=30): 18785 ((a(x,y,z) * u) * x) / (a(x,y,z) * T(u,x)) != w | R(x,a(x,y,z),T(u,x)) = w. [para(18779(a,1),475(a,1,1))]. given #17187 (H,wt=22): 18902 T(x * K(a(x,y,z) * u,x),u) = R(x,a(x,y,z),T(u,x)). [hyper(18785,a,9817,a),flip(a)]. given #17188 (H,wt=20): 18903 T(x * K(a(x,y,z) * u,x),u) = R(x,a(x,y,z),u). [hyper(236,a,8373,a(flip),b,18902,a)]. given #17189 (H,wt=30): 18863 (x * a(y,z,z \ 1)) * T(u,x) != w * v5 | w \ ((a(y,z,z \ 1) * u) * x) = v5. [para(18780(a,2),545(a,1))]. given #17190 (H,wt=31): 18809 K(x,L(a(y,y \ z,u),(y \ z) * u,y \ 1)) = K(x,((y \ z) * u) \ (y \ (z * u))). [para(92(a,1),18805(a,1,2,1))]. given #17191 (H,wt=31): 18904 a(x,y \ z,K(y,L(u,(y \ z) * x,y \ 1))) = K(u,((y \ z) * x) \ (y \ (z * x))). [hyper(14318,a,18809,a)]. given #17192 (H,wt=32): 18772 L(x,(a(y,z,u) * w) * v5,K(v6,a(y,z,u) * v5)) = L(x,T(w,v5),K(v6,a(y,z,u) * v5)). [para(18766(a,1),14732(a,1,2)),flip(a)]. given #17193 (H,wt=33): 18823 K(x,L((y * z) \ R(y,u,u \ 1),R(y,u,u \ 1),y \ 1)) = K(x,z \ a(y,u,u \ 1)). [para(688(a,1),18821(a,2,2,2))]. given #17194 (H,wt=33): 18868 (a(x,y,y \ 1) \ z) \ (z * ((a(x,y,y \ 1) \ 1) * u)) = L(u,a(x,y,y \ 1) \ 1,z). [para(18865(a,1),28(a,2,1)),flip(a)]. given #17195 (H,wt=31): 18905 (a(x,y,y \ 1) \ z) \ (z * (a(x,y,y \ 1) \ u)) = L(u,a(x,y,y \ 1) \ 1,z). [para(18885(a,1),18868(a,1,2,2))]. given #17196 (H,wt=34): 18753 (((x * (y * z)) \ ((x * y) * z)) * K(u,K(w,v5))) * K(u,K(w,v5)) = a(K(u,K(w,v5)) * x,y,z). [para(17943(a,1),18751(a,1,1))]. given #17197 (H,wt=27): 18906 (a(x,y,z) * K(u,K(w,v5))) * K(u,K(w,v5)) = a(K(u,K(w,v5)) * x,y,z). [para(24(a,2),18753(a,1,1,1))]. given #17198 (H,wt=15): 18907 a(K(x,K(y,z)) * u,w,v5) = a(u,w,v5). [hyper(7974,a,18906,a)]. given #17199 (H,wt=17): 18909 a(K(x,y) / z,u,w) = a(z \ K(x,y),u,w). [hyper(236,a,13612,a(flip),b,18907,a(flip)),flip(a)]. given #17200 (H,wt=17): 18910 a(K(x,y) * z,u,w) = a(z * K(x,y),u,w). [para(4817(a,1),18907(a,1,1)),flip(a)]. given #17201 (H,wt=13): 18915 a(K(x,y) * z,y,x) = a(z,y,x). [hyper(18789,a,18910,a(flip)),flip(a)]. given #17202 (H,wt=15): 18916 a(T(x,y) \ z,x,y) = a(x \ z,x,y). [para(5204(a,1),18915(a,1,1))]. given #17203 (H,wt=17): 18911 a(x \ T(y,K(z,u)),w,v5) = a(x \ y,w,v5). [para(5697(a,1),18907(a,1,1))]. given #17204 (H,wt=18): 18908 a(K(x,K(y,z)) * u,w,v5) != v6 | a(u,w,v5) = v6. [para(18906(a,1),7974(a,1)),flip(b)]. given #17205 (H,wt=19): 18914 a(K(x,x \ y) * z,u,w) = a(z * K(x,y),u,w). [hyper(236,a,13609,a(flip),b,18910,a)]. given #17206 (H,wt=19): 18921 a(x * K(y,y * z),u,w) = a(K(y,z) * x,u,w). [para(13(a,1),18914(a,1,1,1,2)),flip(a)]. given #17207 (H,wt=20): 18919 a(T(x,K(y,z)) \ u,w,v5) != v6 | a(x \ u,w,v5) = v6. [para(7906(a,1),18908(a,1,1))]. given #17208 (H,wt=20): 18920 a(K(x,y) * z,u,w) != v5 | a(z * K(x,y),u,w) = v5. [para(7938(a,1),18908(a,1,1))]. given #17209 (H,wt=21): 18912 a((K(x,y) * z) * u,w,v5) = a((z * K(x,y)) * u,w,v5). [para(11049(a,1),18907(a,1,1)),flip(a)]. given #17210 (H,wt=21): 18913 a((x / T(y,z)) \ K(z,y),u,w) = a(1 / (x / y),u,w). [para(14196(a,1),18909(a,1,1)),flip(a)]. given #17211 (H,wt=21): 18918 a(x \ (K(y,z) * u),w,v5) = a(x \ (u * K(y,z)),w,v5). [para(7222(a,1),18911(a,1,1,2)),flip(a)]. given #17212 (H,wt=21): 18922 a(x * K(y \ 1,y * z),u,w) = a(K(z,y) * x,u,w). [hyper(236,a,14988,a,b,18921,a(flip)),flip(a)]. given #17213 (H,wt=19): 18926 a(x * K(y \ 1,z),u,w) = a(K(z,y) * x,u,w). [hyper(236,a,13617,a(flip),b,18922,a(flip)),flip(a)]. given #17214 (H,wt=22): 18927 a(x * K(y \ 1,z),u,w) != v5 | a(x * K(z,y),u,w) = v5. [para(18926(a,2),18920(a,1))]. given #17215 (H,wt=23): 18923 a((K(x,y) * (z \ 1)) * u,w,v5) = a((z \ K(x,y)) * u,w,v5). [para(14046(a,1),18912(a,2,1,1))]. given #17216 (H,wt=24): 18917 a(x,y,z) * ((z * y) * x) = ((((z * y) * x) / (y * z)) * y) * z. [para(18915(a,1),15489(a,1,1))]. given #17217 (H,wt=19): 18929 a(x,y,z) * ((z * y) * x) = (z * y) * R(x,y,z). [hyper(236,a,10941,a(flip),b,18917,a)]. given #17218 (H,wt=24): 18924 a((x / T(y,z)) \ K(z,y),u,w) != v5 | a((x / y) \ 1,u,w) = v5. [para(18913(a,2),13610(a,1))]. given #17219 (H,wt=26): 18925 a(L(x \ y,x,K(z,u)),w,v5) = a((K(z,u) * x) \ (y * K(z,u)),w,v5). [para(105(a,2),18918(a,1,1))]. given #17220 (H,wt=28): 18930 a((x \ (T(x,y) / (T(x,y) / z))) \ 1,u,w) != v5 | a((z / x) \ 1,u,w) = v5. [para(14548(a,2),18924(a,1))]. given #17221 (H,wt=31): 18928 K(x,y) * a((z \ K(u,w)) * v5,v6,K(y,x)) = K(x,L(y,v6,(K(u,w) * (z \ 1)) * v5)). [para(18923(a,1),11482(a,1,2))]. given #17222 (H,wt=34): 18810 K(x,L(T(y,z \ 1) \ u,y * ((z \ y) / y),z \ 1)) = K(x,(y * ((z \ y) / y)) \ (z \ u)). [para(3771(a,1),18805(a,1,2,1,1))]. given #17223 (H,wt=34): 18881 a(a(x,y,y \ 1),z,u) * ((u * z) * a(x,y,y \ 1)) != w | (a(x,y,y \ 1) * u) * z = w. [para(13894(a,1),18797(a,1,2))]. given #17224 (H,wt=24): 18931 (x * y) * R(a(z,u,u \ 1),y,x) = (a(z,u,u \ 1) * x) * y. [hyper(18881,a,18929,a),flip(a)]. given #17225 (H,wt=35): 17876 K(x,K(y,x \ (y \ T(z,u)))) \ K((y * x) \ z,T(y * x,u)) = K((y * x) \ T(z,u),x * y). [para(17760(a,1),15721(a,1,1))]. given #17226 (H,wt=35): 17902 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(12406(a,2),17859(a,2,1,2)),flip(a)]. given #17227 (H,wt=35): 17982 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(17801(a,1),15381(a,1,2,1))]. given #17228 (H,wt=29): 18933 K(x,y) \ ((L(K(x,y),z,u) * w) * K(v5,v6)) = (w * a(x,z,K(u,y))) * K(v5,v6). [para(17652(a,1),17982(a,1,1))]. given #17229 (H,wt=29): 18934 K(x,y) \ (L(K(x,y),z,u) * (w * K(v5,v6))) = (w * a(x,z,K(u,y))) * K(v5,v6). [para(17741(a,1),18933(a,1,2))]. given #17230 (H,wt=29): 18935 K(x,y) * (L(K(y,x),z,u) * (w * K(v5,v6))) = (w * a(y,z,K(u,x))) * K(v5,v6). [hyper(5286,a,18934,a)]. given #17231 (H,wt=25): 18936 (x * a(y,z,K(u,w))) * K(v5,v6) = a(y,z,K(u,w)) * (x * K(v5,v6)). [hyper(14621,a,18935,a),flip(a)]. given #17232 (H,wt=30): 18937 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(4890,a,18936,a),flip(a)]. given #17233 (H,wt=23): 18938 a(x,y,K(z,u)) * (w * K(w,v5)) = T(w * a(x,y,K(z,u)),v5). [para(18075(a,1),18937(a,1,2,2))]. given #17234 (H,wt=21): 18939 T(x * a(y,z,K(u,w)),v5) = a(y,z,K(u,w)) * T(x,v5). [para(4887(a,2),18938(a,1,2)),flip(a)]. given #17235 (H,wt=35): 18026 K(x,T(T((y * K(z,u)) / w,K(y,v5)),K(z,u) \ (y \ w))) = K(x,(y * K(z,u)) / T(w,K(y,v5))). [hyper(17817,a,17344,a)]. given #17236 (H,wt=31): 18942 K(x,T(T((y * K(z,u)) / w,K(y,v5)),y \ w)) = K(x,(y * K(z,u)) / T(w,K(y,v5))). [hyper(16991,a,18026,a)]. given #17237 (H,wt=27): 18943 K(x,T((y * K(z,u)) / w,y \ w)) = K(x,(y * K(z,u)) / T(w,K(y,v5))). [hyper(16234,a,18942,a)]. given #17238 (H,wt=26): 18944 K(x,T((y * K(z,u)) / w,y \ w)) != v5 | K(x,(y * K(z,u)) / w) = v5. [para(18943(a,2),16676(a,1))]. given #17239 (H,wt=25): 18945 K(x,(y * (z / y)) \ (K(u,w) * y)) = K(x,(y * K(u,T(w,v5))) / z). [hyper(18944,a,18720,a),flip(a)]. given #17240 (H,wt=23): 18946 K(x,(y * (z / y)) \ (K(u,w) * y)) = K(x,(y * K(u,w)) / z). [para(118(a,1),18945(a,2,2,1,2,2))]. given #17241 (H,wt=26): 18947 K(x,(y * (z / y)) \ (K(u,w) * y)) != v5 | K(x,y / (z * K(w,u))) = v5. [para(18946(a,2),17906(a,1))]. given #17242 (H,wt=35): 18174 K(x * ((y \ z) * K(u,z)),L(y / x,x,y \ z)) = K(x * (y \ z),T(R(y / x,x,y \ z),u)). [hyper(236,a,15955,a(flip),b,18149,a(flip))]. given #17243 (H,wt=35): 18210 K(K(x * ((y / x) * K(z,u)),w) * (v5 * (v6 / w)),v7) = K(v5 * (v6 / T(w,K(z,u) * T(y,x))),v7). [para(18160(a,1),18172(a,2,1,2,2))]. given #17244 (H,wt=33): 18948 K(K(K(x,y) * z,T(u,w)) * (v5 * (v6 / u)),v7) = K(v5 * (v6 / T(u,K(y,x) * T(z,w))),v7). [para(18146(a,1),18210(a,1,1,1))]. given #17245 (H,wt=31): 18949 K((x * (y / z)) * K(z,K(u,w) * v5),v6) = K(x * (y / T(z,K(w,u) * T(v5,v7))),v6). [hyper(16712,a,18948,a)]. given #17246 (H,wt=27): 18950 K(K(x,y) * (z * (u / y)),w) = K(z * (u / T(y,K(v5,v6) * T(x,v7))),w). [hyper(17261,a,18949,a)]. given #17247 (H,wt=28): 18952 K(x * (y / T(z,K(u,w) * T(v5,v6))),v7) != v8 | K(x * (y / T(z,v5)),v7) = v8. [para(18950(a,1),18362(a,1))]. given #17248 (H,wt=35): 18212 K(x,K(R(y,y \ z,u),w) * (v5 * ((y \ z) * u))) = K(x,v5 * (T(R(y,y \ z,u),w) \ (z * u))). [para(463(a,1),18179(a,1,2,2,2))]. given #17249 (H,wt=35): 18233 K(x * (K(L(y,y \ z,u),w) * (u * (z / y))),v5) = K(x * ((u * z) / T(L(y,y \ z,u),w)),v5). [para(10740(a,1),18223(a,1,1,2,2))]. given #17250 (H,wt=33): 18954 K(x * ((y * z) / T(L(u,u \ z,y),w)),v5) = K(x * (K(u,L(w,z,y)) * (y * (z / u))),v5). [para(11468(a,1),18233(a,1,1,2,1)),flip(a)]. given #17251 (H,wt=30): 18955 K(x * ((y * z) / T(L(u,u \ z,y),w)),v5) = K(K(u,w) * (x * (y * (z / u))),v5). [hyper(236,a,18278,a(flip),b,18954,a)]. given #17252 (H,wt=25): 18957 K(K(x,y) * (z * (u * (w / x))),v5) = K(z * (u * (w / T(x,y))),v5). [para(11640(a,1),18955(a,1,1,2)),flip(a)]. given #17253 (H,wt=21): 18958 K(x * (y * (z / T(u,z))),w) = K(x * (y * (u \ z)),w). [hyper(236,a,18377,a(flip),b,18957,a(flip))]. given #17254 (H,wt=35): 18312 L(x,y,K(z,u)) * a(a(w,v5,v6) \ x,v5,K(v6,w)) = (a(w,v5,v6) \ L(x,y,K(z,u))) * a(w,v5,v6). [para(14004(a,2),18089(a,1,2))]. given #17255 (H,wt=35): 18371 L(x,y,T((z \ 1) * ((z \ K(z,u)) \ w),z \ 1)) = L(x,y,K(u,z) * (w * K(w * z,z \ 1))). [para(17861(a,2),13502(a,2,3))]. given #17256 (H,wt=29): 18959 L(x,y,K(z,u) * (w * K(w * u,u \ 1))) = L(x,y,T(K(z,u) * w,u \ 1)). [para(10334(a,1),18371(a,1,3,1)),flip(a)]. given #17257 (H,wt=35): 18489 K(x,(K(y,T(z,u)) * ((K(w,T(v5,v6)) \ v7) * K(z,T(y,u)))) \ v8) = K(x,v7 \ (K(v5,T(w,v6)) \ v8)). [para(7558(a,1),18427(a,1,2,1,2))]. given #17258 (H,wt=35): 18630 K(x,T(y / (K(T(z,u),T(z,u) \ w) \ w),v5)) = K(x,T(y / (T(z,u) * T(T(z,u) \ w,z)),v5)). [para(4818(a,2),18625(a,2,2,1,2)),flip(a)]. given #17259 (H,wt=29): 18961 K(x,T(y / (K(T(z,u),T(z,u) \ w) \ w),v5)) = K(x,T(y / ((z \ w) * z),v5)). [para(7129(a,1),18630(a,2,2,1,2))]. given #17260 (H,wt=29): 18963 K(x,T(y / (K(z,T(T(z,u) \ w,u)) \ w),v5)) = K(x,T(y / ((z \ w) * z),v5)). [para(7260(a,1),18961(a,1,2,1,2,1))]. given #17261 (H,wt=27): 18964 K(x,T(y / (K(z,z \ T(u,w)) \ u),v5)) = K(x,T(y / ((z \ u) * z),v5)). [para(11189(a,1),18963(a,1,2,1,2,1))]. given #17262 (H,wt=35): 18672 (x * (y * K(z,u))) \ ((x * K(z,u)) * T(y,K(z,u))) = ((y * K(z,u)) * x) \ (y * (K(z,u) * x)). [para(18658(a,1),14599(a,1,2))]. given #17263 (H,wt=22): 18966 ((x * K(y,z)) * u) \ (x * (K(y,z) * u)) = a(u,K(y,z),x). [hyper(18765,a,18672,a),flip(a)]. given #17264 (H,wt=22): 18967 L(x \ L(x,K(y,z),u),x,u * K(y,z)) = a(x,K(y,z),u). [hyper(832,a,18966,a)]. given #17265 (H,wt=35): 18799 (a(x \ 1,x,y) * z) \ ((z * K(u,L(w,z,a(x \ 1,x,y) \ 1))) * a(x \ 1,x,y)) = K(u,w). [hyper(14218,a,18798,a)]. given #17266 (H,wt=33): 18968 (a(x \ 1,x,y) * z) \ ((z * K(u,L(w,z,a(y,x,x \ 1)))) * a(x \ 1,x,y)) = K(u,w). [para(14950(a,1),18799(a,1,2,1,2))]. given #17267 (H,wt=25): 18969 (a(x \ 1,x,y) * z) \ ((z * K(u,w)) * a(x \ 1,x,y)) = K(u,w). [para(15625(a,1),18968(a,1,2,1,2))]. given #17268 (H,wt=25): 18971 K(x,(a(y \ 1,y,z) * u) \ w) = K(x,u \ (a(y \ 1,y,z) \ w)). [hyper(236,a,14363,a(flip),b,18969,a(flip)),flip(a)]. given #17269 (H,wt=25): 18972 K(x,(y * a(z \ 1,z,u)) \ w) = K(x,y \ (a(z \ 1,z,u) \ w)). [hyper(18106,a,18971,a)]. given #17270 (H,wt=35): 18932 K(x,K(y,y \ (x \ T(z,u)))) \ K((x * y) \ z,T(x * y,u)) = K((x * y) \ T(z,u),y * x). [para(7919(a,1),17876(a,1,1))]. given #17271 (H,wt=33): 18974 K(x,K(y,x \ T(z,u))) \ K((x * y) \ z,T(x * y,u)) = K((x * y) \ T(z,u),y * x). [para(9208(a,1),18932(a,1,1))]. given #17272 (H,wt=31): 18975 K(x,K(y,T(z,u))) \ K((x * y) \ z,T(x * y,u)) = K((x * y) \ T(z,u),y * x). [para(9203(a,1),18974(a,1,1))]. given #17273 (H,wt=29): 18976 K(x,K(y,z)) \ K((x * y) \ z,T(x * y,u)) = K((x * y) \ T(z,u),y * x). [para(16034(a,1),18975(a,1,1))]. given #17274 (H,wt=29): 18977 K(x,K(y,z)) * K((x * y) \ z,T(x * y,u)) = K((x * y) \ T(z,u),y * x). [hyper(7969,a,18976,a)]. given #17275 (H,wt=29): 18979 T(K((x * y) \ z,x * y) * K(x,K(y,z)),u) = K((x * y) \ T(z,u),y * x). [hyper(236,a,16774,a,b,18977,a(flip)),flip(a)]. given #17276 (H,wt=29): 18980 T(K(x \ (y \ z),x * y) * K(x,K(y,z)),u) = K((x * y) \ T(z,u),y * x). [para(14410(a,1),18979(a,1,1,1))]. given #17277 (H,wt=23): 18981 K((x * y) \ T(z,u),y * x) = T(K(y \ (x \ z),y * x),u). [para(18447(a,1),18980(a,1,1)),flip(a)]. given #17278 (H,wt=23): 18982 K((x * y) \ T(z,u),y * x) = K(y \ (x \ z),T(y * x,u)). [hyper(236,a,7256,a,b,18981,a)]. given #17279 (H,wt=23): 18983 K((x * y) \ z,T(x * y,u)) = K(x \ (y \ z),T(x * y,u)). [hyper(15737,a,18982,a)]. given #17280 (H,wt=35): 18953 K(x,K(y,L(z,y \ u,w)) * (v5 * ((y \ u) * w))) = K(x,v5 * (T(R(y,y \ u,w),z) \ (u * w))). [para(15351(a,1),18212(a,1,2,1))]. given #17281 (H,wt=30): 18984 K(x,y * (T(R(z,z \ u,w),v5) \ (u * w))) = K(x,(y * ((z \ u) * w)) * K(v5,z)). [hyper(18126,a,18953,a),flip(a)]. given #17282 (H,wt=30): 18985 K(x,y * (T(R(z,z \ u,w),v5) \ (u * w))) = K(x,y * (((z \ u) * w) * K(v5,z))). [hyper(236,a,18066,a(flip),b,18984,a)]. given #17283 (H,wt=30): 18986 K(x,y * (T(R(z,z \ u,w),v5) \ (u * w))) = K(x,y * ((z \ u) * (w * K(v5,z)))). [hyper(236,a,18118,a(flip),b,18985,a)]. given #17284 (H,wt=30): 18987 K(x,y * (R(T(z,u),z \ w,v5) \ (w * v5))) = K(x,y * ((z \ w) * (v5 * K(u,z)))). [para(42(a,2),18986(a,1,2,2,1))]. given #17285 (H,wt=25): 18988 K(x,y * ((z \ u) * (w * K(v5,z)))) = K(x,y * ((T(z,v5) \ u) * w)). [para(15500(a,1),18987(a,1,2,2)),flip(a)]. given #17286 (H,wt=29): 18989 K(x,y * ((((z \ u) \ u) \ w) * v5)) = K(x,y * ((z \ w) * (v5 * K(z \ u,z)))). [para(120(a,1),18988(a,2,2,2,1,1)),flip(a)]. given #17287 (H,wt=27): 18990 K(x,y * ((((z \ u) \ u) \ w) * v5)) = K(x,y * ((z \ w) * (v5 * K(u,z)))). [hyper(236,a,18456,a(flip),b,18989,a)]. given #17288 (H,wt=25): 18991 K(x,y * ((((z \ u) \ u) \ w) * v5)) = K(x,y * ((T(z,u) \ w) * v5)). [hyper(236,a,18988,a(flip),b,18990,a)]. given #17289 (H,wt=33): 18992 K(x,y * ((T(z,u) \ w) * K(v5,((z \ u) \ u) \ w))) = K(x,y * T(((z \ u) \ u) \ w,v5)). [hyper(18166,a,18991,a),flip(a)]. given #17290 (H,wt=31): 18993 K(x,y * ((T(z,u) \ w) * K(v5,T(z,u) \ w))) = K(x,y * T(((z \ u) \ u) \ w,v5)). [para(13049(a,1),18992(a,1,2,2,2))]. given #17291 (H,wt=25): 18994 K(x,y * T(((z \ u) \ u) \ w,v5)) = K(x,y * T(T(z,u) \ w,v5)). [hyper(18166,a,18993,a),flip(a)]. given #17292 (H,wt=23): 18995 K(x,y * T(T(z,u) \ w,z)) = K(x,y * (w / ((z \ u) \ u))). [hyper(236,a,16709,a(flip),b,18994,a(flip))]. given #17293 (H,wt=21): 18996 K(x,y * (z / ((u \ w) \ w))) = K(x,y * (z / T(u,w))). [hyper(236,a,16710,a(flip),b,18995,a(flip))]. given #17294 (H,wt=25): 18997 K(x,y * (z / T((u \ w) \ w,v5))) = K(x,y * (z / T(T(u,v5),w))). [para(7783(a,1),18996(a,1,2,2,2))]. given #17295 (H,wt=35): 18960 K(x,(K(y,T(z,u)) * (K(w,T(v5,v6)) \ (v7 * K(z,T(y,u))))) \ v8) = K(x,v7 \ (K(v5,T(w,v6)) \ v8)). [para(17701(a,2),18489(a,1,2,1,2))]. given #17296 (H,wt=23): 18998 K(x,(y * K(z,T(u,w))) \ v5) = K(x,y \ (K(z,T(u,w)) \ v5)). [para(14(a,1),18960(a,1,2,1))]. given #17297 (H,wt=36): 17918 K(x * L((y \ z) * K(u,K(w,v5)),y,K(u,w)),v6) = K(x * ((K(u,w) * y) \ (K(u,T(w,v5)) * z)),v6). [para(17889(a,1),13326(a,1,1,2,1))]. given #17298 (H,wt=36): 18006 K(x,y) \ (a(x,z \ 1,K(y,(K(x,y) * (1 / z)) \ u)) * u) = (1 / z) * ((K(x,y) * (1 / z)) \ u). [hyper(72,a,17886,a,b,7011,a(flip))]. given #17299 (H,wt=34): 19000 K(x,y) \ (a(x,z \ 1,K(y,(K(x,y) / z) \ u)) * u) = (1 / z) * ((K(x,y) * (1 / z)) \ u). [para(14500(a,1),18006(a,1,2,1,3,2,1))]. given #17300 (H,wt=36): 18419 K(x,L((y * K(z,y)) / (u / w),y * K(z,y),(y * K(z,y)) \ u)) = K(x,(y * (K(z,y) * w)) / u). [para(5574(a,1),18415(a,2,2,1))]. given #17301 (H,wt=36): 18421 K(x,L(y,z,L(u / (w / v5),u,u \ w) \ 1)) = (v6 / y) \ (v6 / L(T(y,x),z,K(x,(u * v5) / w))). [para(18415(a,1),14879(a,1,2,2,3)),flip(a)]. given #17302 (H,wt=36): 18784 K(a(x,y,z) \ u,a(x,y,z)) * (w * (u / a(x,y,z))) = u * T(a(x,y,z) \ w,u / a(x,y,z)). [para(18769(a,1),11137(a,1,2)),flip(a)]. given #17303 (H,wt=36): 18839 (R(x,y,y \ 1) * T(z,x * a(x,y,y \ 1))) / (x * a(x,y,y \ 1)) = L(z,a(x,y,y \ 1),x). [hyper(74,a,18829,a(flip),b,606,a(flip))]. given #17304 (H,wt=34): 19003 (R(x,y,y \ 1) * T(z,R(x,y,y \ 1))) / (x * a(x,y,y \ 1)) = L(z,a(x,y,y \ 1),x). [para(689(a,1),18839(a,1,1,2,2))]. given #17305 (H,wt=27): 19004 (x * R(y,z,z \ 1)) / (y * a(y,z,z \ 1)) = L(x,a(y,z,z \ 1),y). [para(119(a,1),19003(a,1,1))]. given #17306 (H,wt=25): 19005 (x * R(y,z,z \ 1)) / R(y,z,z \ 1) = L(x,a(y,z,z \ 1),y). [para(689(a,1),19004(a,1,2))]. given #17307 (H,wt=11): 19006 L(x,a(y,z,z \ 1),y) = x. [hyper(304,a,19005,a),flip(a)]. given #17308 (H,wt=11): 19008 L(x,a(y,z \ 1,z),y) = x. [para(11929(a,1),19006(a,1,2))]. given #17309 (H,wt=33): 19009 ((x * (a(x,y \ 1,y) * x)) / x) \ (L(x,a(x,y \ 1,y),x) * z) = a(x,y \ 1,y) \ z. [hyper(236,a,13500,a,b,19008,a(flip)),flip(a)]. given #17310 (H,wt=33): 19010 ((x * (x * a(x,y \ 1,y))) / x) \ (L(x,a(x,y \ 1,y),x) * z) = a(x,y \ 1,y) \ z. [para(12748(a,1),19009(a,1,1,1,2))]. given #17311 (H,wt=31): 19011 ((x * R(x,y \ 1,y)) / x) \ (L(x,a(x,y \ 1,y),x) * z) = a(x,y \ 1,y) \ z. [para(3627(a,1),19010(a,1,1,1,2))]. given #17312 (H,wt=27): 19012 R(x,y \ 1,y) \ (L(x,a(x,y \ 1,y),x) * z) = a(x,y \ 1,y) \ z. [para(626(a,1),19011(a,1,1))]. given #17313 (H,wt=19): 19013 R(x,y \ 1,y) \ (x * z) = a(x,y \ 1,y) \ z. [para(13851(a,1),19012(a,1,2,1))]. given #17314 (H,wt=19): 19014 x * (R(x,y \ 1,y) \ z) = a(x,y \ 1,y) \ z. [hyper(1510,a,19013,a)]. given #17315 (H,wt=21): 19015 L(x \ 1,x,y * (x \ 1)) = a(y,x \ 1,x) \ (1 / x). [hyper(236,a,3852,a(flip),b,19014,a(flip)),flip(a)]. given #17316 (H,wt=23): 19016 (1 / x) \ L(x \ 1,x,y * (x \ 1)) = a(y,x \ 1,x) \ 1. [hyper(72,a,19015,a,b,18900,a)]. given #17317 (H,wt=21): 19017 L(x \ 1,x,y * (x \ 1)) * x = a(y,x \ 1,x) \ 1. [hyper(1064,a,19016,a)]. given #17318 (H,wt=33): 19018 a(x / T(y,y \ 1),(y \ 1) \ 1,y \ 1) \ 1 = L((y \ 1) \ 1,y \ 1,x) * (y \ 1). [para(313(a,1),19017(a,1,1,3)),flip(a)]. given #17319 (H,wt=31): 19020 a(x / T(y,y \ 1),(y \ 1) \ 1,y \ 1) \ 1 = y \ L((y \ 1) \ 1,y \ 1,x). [hyper(236,a,15064,a(flip),b,19018,a)]. given #17320 (H,wt=29): 19021 a(x / T(y,y \ 1),(y \ 1) \ 1,y \ 1) \ 1 = L(y,y \ 1,x) * (1 / y). [hyper(236,a,4760,a(flip),b,19020,a)]. given #17321 (H,wt=25): 19022 a(x / T(y,y \ 1),y,y \ 1) \ 1 = L(y,y \ 1,x) * (1 / y). [para(10970(a,1),19021(a,1,1))]. given #17322 (H,wt=25): 19023 a(T(x,x \ 1) \ y,x,x \ 1) \ 1 = L(x,x \ 1,y) * (1 / x). [para(15569(a,1),19022(a,1,1))]. given #17323 (H,wt=21): 19024 a(x \ y,x,x \ 1) \ 1 = L(x,x \ 1,y) * (1 / x). [para(18916(a,1),19023(a,1,1))]. given #17324 (H,wt=23): 19026 x * (L(y,y \ 1,z) * (1 / y)) = a(y \ z,y,y \ 1) \ x. [para(19024(a,1),18865(a,1,2))]. given #17325 (H,wt=23): 19027 (L(x,x \ 1,y) * (1 / x)) \ z = z * a(x \ y,x,x \ 1). [para(19024(a,1),18887(a,1,1))]. given #17326 (H,wt=27): 19028 (1 / x) * ((1 / x) * L(x,x \ 1,y)) = a(x \ y,x,x \ 1) \ (x \ 1). [hyper(236,a,4773,a,b,19026,a(flip)),flip(a)]. given #17327 (H,wt=25): 19030 a(x \ y,x,x \ 1) \ (x \ 1) = (1 / x) * (x \ L(x,x \ 1,y)). [para(4767(a,1),19028(a,1,2)),flip(a)]. given #17328 (H,wt=25): 19031 ((1 / x) * (x \ L(x,x \ 1,y))) \ (x \ 1) = a(x \ y,x,x \ 1). [para(19030(a,1),13891(a,1,1))]. given #17329 (H,wt=34): 19029 (x * a(y \ z,y,y \ 1)) * K(L(y,y \ 1,z),1 / y) = x / ((1 / y) * L(y,y \ 1,z)). [para(19027(a,1),15080(a,1,1))]. given #17330 (H,wt=34): 19032 (x * a(y \ z,y,y \ 1)) * K(L(y,y \ 1,z),y \ 1) = x / ((1 / y) * L(y,y \ 1,z)). [para(5223(a,1),19029(a,1,2))]. given #17331 (H,wt=29): 19033 x * (a(y \ z,y,y \ 1) * K(y,y \ 1)) = x / ((1 / y) * L(y,y \ 1,z)). [hyper(5823,a,19032,a)]. given #17332 (H,wt=36): 18875 a(x,T(y,z),K(K(z,y) * u,w)) * K(x,(w * T(y,z)) \ (y * u)) = K(x,T(y,z) \ (w \ (y * u))). [para(5203(a,1),18874(a,1,1,3,1))]. given #17333 (H,wt=36): 18893 ((x * ((x \ y) * ((x \ y) \ 1))) \ (y * ((x \ y) \ 1))) * z = (R(x,x \ y,(x \ y) \ 1) \ x) \ z. [para(92(a,2),18890(a,2,1)),flip(a)]. given #17334 (H,wt=33): 19034 ((x * ((x \ y) * ((x \ y) \ 1))) \ (y * ((x \ y) \ 1))) * z = ((y * ((x \ y) \ 1)) \ x) \ z. [para(506(a,1),18893(a,2,1,1))]. given #17335 (H,wt=23): 19035 ((x * ((y \ x) \ 1)) \ y) \ z = (y \ (x * ((y \ x) \ 1))) * z. [para(56(a,1),19034(a,1,1,1)),flip(a)]. given #17336 (H,wt=21): 19036 (x \ (y * ((x \ y) \ 1))) \ 1 = (y * ((x \ y) \ 1)) \ x. [hyper(424,a,19035,a)]. given #17337 (H,wt=23): 19037 ((x \ (y * ((x \ y) \ 1))) * z) \ z = (y * ((x \ y) \ 1)) \ x. [hyper(236,a,18877,a,b,19036,a(flip)),flip(a)]. given #17338 (H,wt=23): 19038 (x \ (y * ((x \ y) \ 1))) \ z = z * ((y * ((x \ y) \ 1)) \ x). [para(19036(a,1),18876(a,1,2)),flip(a)]. given #17339 (H,wt=23): 19039 x / (y \ (z * ((y \ z) \ 1))) = x * ((z * ((y \ z) \ 1)) \ y). [hyper(236,a,13901,a,b,19038,a(flip)),flip(a)]. given #17340 (H,wt=23): 19041 (x * (y \ (z * ((y \ z) \ 1)))) \ x = (z * ((y \ z) \ 1)) \ y. [hyper(516,a,19039,a)]. given #17341 (H,wt=27): 19040 x * ((y * (((y / z) \ y) \ 1)) \ (y / z)) = ((y / z) \ (y * (z \ 1))) \ x. [para(65(a,1),19038(a,1,1,2,2,1)),flip(a)]. given #17342 (H,wt=23): 19044 ((x / y) \ (x * (y \ 1))) \ z = z * ((x * (y \ 1)) \ (x / y)). [para(65(a,1),19040(a,1,2,1,2,1)),flip(a)]. given #17343 (H,wt=27): 19042 (x * (((x / y) \ x) \ 1)) \ (x / y) = (z * ((x / y) \ (x * (y \ 1)))) \ z. [para(65(a,1),19041(a,1,1,2,2,2,1)),flip(a)]. given #17344 (H,wt=31): 19045 (x * (((x / y) \ x) \ 1)) \ (x / y) = (z * ((y \ x) \ (((y \ x) * y) * (y \ 1)))) \ z. [para(11104(a,2),19042(a,2,1,2))]. given #17345 (H,wt=26): 19046 (x * a(y \ z,y,y \ 1)) \ x = (z * (((z / y) \ z) \ 1)) \ (z / y). [para(157(a,1),19045(a,2,1,2)),flip(a)]. given #17346 (H,wt=24): 19047 a(x \ y,x,x \ 1) \ 1 = (y * (((y / x) \ y) \ 1)) \ (y / x). [hyper(14514,a,19046,a)]. given #17347 (H,wt=20): 19048 a(x \ y,x,x \ 1) \ 1 = (y * (x \ 1)) \ (y / x). [para(65(a,1),19047(a,2,1,2,1))]. given #17348 (H,wt=20): 19049 (x * (y \ 1)) \ (x / y) = L(y,y \ 1,x) * (1 / y). [hyper(236,a,19024,a(flip),b,19048,a(flip))]. given #17349 (H,wt=21): 19051 ((x * (1 / y)) \ x) * (1 / y) = (x * (y \ 1)) \ (x / y). [para(2767(a,1),19049(a,2,1)),flip(a)]. given #17350 (H,wt=19): 19052 (x * (y \ 1)) \ (x / y) = y \ ((x * (y \ 1)) \ x). [hyper(236,a,3105,a(flip),b,19051,a(flip))]. given #17351 (H,wt=34): 19050 T((x * (y \ 1)) / (x / y),L(y,y \ 1,x) * (1 / y)) = (((x * (y \ 1)) / (x / y)) \ 1) \ 1. [para(19049(a,1),2582(a,1,2))]. given #17352 (H,wt=34): 19053 T((x / y) \ (x * (y \ 1)),L(y,y \ 1,x) * (1 / y)) = (((x * (y \ 1)) / (x / y)) \ 1) \ 1. [para(3706(a,1),19050(a,1,1))]. given #17353 (H,wt=32): 19054 T((x / y) \ (x * (y \ 1)),y \ L(y,y \ 1,x)) = (((x * (y \ 1)) / (x / y)) \ 1) \ 1. [hyper(236,a,4511,a(flip),b,19053,a(flip)),flip(a)]. given #17354 (H,wt=23): 19055 (((x * (y \ 1)) / (x / y)) \ 1) \ 1 = (x / y) \ (x * (y \ 1)). [hyper(236,a,13736,a(flip),b,19054,a(flip))]. given #17355 (H,wt=23): 19057 (((x / y) \ (x * (y \ 1))) \ 1) \ 1 = (x / y) \ (x * (y \ 1)). [para(3706(a,1),19055(a,1,1,1))]. given #17356 (H,wt=23): 19058 (1 * ((x * (y \ 1)) \ (x / y))) \ 1 = (x / y) \ (x * (y \ 1)). [para(19044(a,1),19057(a,1,1))]. given #17357 (H,wt=23): 19059 (1 * (x \ ((y * (x \ 1)) \ y))) \ 1 = (y / x) \ (y * (x \ 1)). [para(19052(a,1),19058(a,1,1,2))]. given #17358 (H,wt=21): 19060 (x \ ((y * (x \ 1)) \ y)) \ 1 = (y / x) \ (y * (x \ 1)). [para(11(a,1),19059(a,1,1))]. given #17359 (H,wt=36): 18999 K(x * T((y \ z) * K(u,K(w,v5)),a(w,y,u)),v6) = K(x * ((K(u,w) * y) \ (K(u,T(w,v5)) * z)),v6). [para(14670(a,1),17918(a,1,1,2))]. given #17360 (H,wt=36): 19001 K(x,L(K(y,z) * (z / (u / w)),z * K(y,z),(z * K(y,z)) \ u)) = K(x,(z * (K(y,z) * w)) / u). [para(17440(a,1),18419(a,1,2,1))]. given #17361 (H,wt=36): 19002 K(a(x,y,z) \ u,a(x,y,z)) * (w * (u / a(x,y,z))) = u * T(a(x,y,z) \ w,a(x,y,z) \ u). [para(17685(a,1),18784(a,2,2))]. given #17362 (H,wt=31): 19063 a(x,y,K(z,u)) * (w * (u / a(z,y,x))) = u * T(a(z,y,x) \ w,a(z,y,x) \ u). [para(14796(a,1),19002(a,1,1))]. given #17363 (H,wt=24): 19064 x * T(a(y,z,u) \ w,a(y,z,u) \ x) = w * (a(y,z,u) \ x). [hyper(17777,a,19063,a),flip(a)]. given #17364 (H,wt=23): 19065 x * T(a(y,x,x \ 1) \ z,x) = z * (a(y,x,x \ 1) \ x). [para(18837(a,1),19064(a,1,2))]. given #17365 (H,wt=21): 19066 (a(x,y,y \ 1) \ z) * y = z * (a(x,y,y \ 1) \ y). [hyper(220,a,19065,a)]. given #17366 (H,wt=35): 19067 x * (a(y,T(z,x),T(z,x) \ 1) \ T(z,x)) = z * ((a(y,T(z,x),T(z,x) \ 1) * z) \ (z * x)). [hyper(236,a,18794,a(flip),b,19066,a(flip))]. given #17367 (H,wt=31): 19068 x * (a(y,T(z,x),T(z,x) \ 1) \ T(z,x)) = z * ((a(y,z,z \ 1) * z) \ (z * x)). [para(10221(a,1),19067(a,2,2,1,1))]. given #17368 (H,wt=31): 19070 x * (a(y,T(z,x),T(z,x) \ 1) \ T(z,x)) = z * ((z * a(y,z,z \ 1)) \ (z * x)). [para(13894(a,1),19068(a,2,2,1))]. given #17369 (H,wt=36): 19061 K(x * (T(y \ z,a(u,y,w)) * K(w,K(u,v5))),v6) = K(x * ((K(w,u) * y) \ (K(w,T(u,v5)) * z)),v6). [para(16775(a,1),18999(a,1,1,2))]. given #17370 (H,wt=30): 19071 K(x * T(y \ z,a(u,y,w)),v5) = K(x * ((K(w,u) * y) \ (K(w,T(u,v6)) * z)),v5). [hyper(16692,a,19061,a)]. given #17371 (H,wt=25): 19072 K(x * ((K(y,z) * u) \ (K(y,T(z,w)) * v5)),v6) = K(x * (u \ v5),v6). [hyper(18101,a,19071,a),flip(a)]. given #17372 (H,wt=23): 19073 K(x * ((K(y,z) * u) \ (K(y,z) * w)),v5) = K(x * (u \ w),v5). [para(118(a,1),19072(a,1,1,2,2,1,2))]. given #17373 (H,wt=27): 19074 K(x * (T(y,K(z,u)) \ (K(u,z) * w)),v5) = K(x * ((y * K(z,u)) \ w),v5). [para(5269(a,1),19073(a,1,1,2,1))]. given #17374 (H,wt=26): 19075 K(x * ((y * K(z,u)) \ w),v5) != v6 | K(x * (y \ (K(u,z) * w)),v5) = v6. [para(19074(a,1),16758(a,1))]. given #17375 (H,wt=36): 19062 K(x,L(K(y,z) * (z / (u / w)),z * K(y,z),K(z,y) * (z \ u))) = K(x,(z * (K(y,z) * w)) / u). [para(5510(a,1),19001(a,1,2,3))]. given #17376 (H,wt=37): 17941 K((x \ y) \ (x \ T(y,z)),u \ ((x \ T(y,z)) \ (x \ y))) = K(y,K(z,(x \ T(y,z)) \ (u \ (x \ y)))). [hyper(236,a,15117,a,b,17928,a(flip)),flip(a)]. given #17377 (H,wt=37): 18629 K(x * ((K(y,z) * u) / T(w,K(z,y) * T(u,y * z))),v5) = K(x * (w \ ((y * z) * ((z * y) \ u))),v5). [para(18628(a,1),16880(a,1,1,2,2))]. given #17378 (H,wt=29): 19077 K(x * (y \ ((z * u) * ((u * z) \ w))),v5) = K(x * ((K(z,u) * w) / T(y,w)),v5). [hyper(18952,a,18629,a),flip(a)]. given #17379 (H,wt=25): 19078 K(x * ((K(y,z) * u) / T(w,u)),v5) = K(x * (w \ (K(y,z) * u)),v5). [para(11069(a,1),19077(a,1,1,2,2)),flip(a)]. given #17380 (H,wt=25): 19079 K(x * (K(y,z) * (u / T(w,u))),v5) = K(x * (w \ (K(y,z) * u)),v5). [hyper(236,a,18379,a(flip),b,19078,a(flip)),flip(a)]. given #17381 (H,wt=23): 19080 K(x * (y \ (K(z,u) * w)),v5) = K(x * (K(z,u) * (y \ w)),v5). [hyper(236,a,18958,a(flip),b,19079,a(flip))]. given #17382 (H,wt=37): 18844 (K(x,y) * K(z \ 1,u)) / (a(K(x,y) * z,w,w \ 1) \ T(z \ 1,u)) = R(K(x,y) * z,w,w \ 1). [hyper(14516,a,18835,a(flip))]. given #17383 (H,wt=37): 19076 K((x \ y) \ (x \ T(y,z)),u \ ((x \ T(y,z)) \ (x \ y))) = K(y,K(z,T(y,z) \ (x * (u \ (x \ y))))). [hyper(236,a,17752,a(flip),b,17941,a)]. given #17384 (H,wt=35): 19081 K((x \ y) \ (x \ T(y,z)),u \ ((x \ T(y,z)) \ (x \ y))) = K(y,K(z,y \ (x * (u \ (x \ y))))). [hyper(236,a,17026,a(flip),b,19076,a)]. given #17385 (H,wt=33): 19083 K((x \ y) \ (x \ T(y,z)),u \ ((x \ T(y,z)) \ (x \ y))) = K(y,K(z,x * (u \ (x \ y)))). [hyper(236,a,9203,a(flip),b,19081,a)]. given #17386 (H,wt=27): 19084 K(K(x,y),z \ ((u \ T(x,y)) \ (u \ x))) = K(x,K(y,u * (z \ (u \ x)))). [para(14436(a,1),19083(a,1,1))]. given #17387 (H,wt=21): 19085 K(K(x,y),z \ K(y,x)) = K(x,K(y,u * (z \ (u \ x)))). [para(14431(a,1),19084(a,1,2,2))]. given #17388 (H,wt=21): 19087 K(x,K(y,z \ K(y,x))) = K(x,K(y,u * (z \ (u \ x)))). [hyper(8011,a,19085,a)]. given #17389 (H,wt=17): 19089 K(x,K(y,z * (u \ (z \ x)))) = K(x,K(y,u)). [hyper(17088,a,19087,a),flip(a)]. given #17390 (H,wt=28): 19090 K(x,L(T(y,z \ u),u,z)) * K(u,K(x,y)) = K(x,u / (z * (y \ (z \ u)))). [para(19089(a,1),15074(a,1,2))]. given #17391 (H,wt=28): 19091 K(x,L(T(y,z \ u),u,z)) * K(u,K(y,x)) = K(x,u / (z * (y \ (z \ u)))). [para(7937(a,1),19090(a,1,2))]. given #17392 (H,wt=28): 19093 L(K(x,T(y,z \ u)) * K(u,K(y,x)),u,z) = K(x,u / (z * (y \ (z \ u)))). [hyper(236,a,18691,a,b,19091,a(flip)),flip(a)]. given #17393 (H,wt=28): 19094 L(T(K(x,y) * K(z,K(y,x)),u \ z),z,u) = K(x,z / (u * (y \ (u \ z)))). [para(16776(a,2),19093(a,1,1))]. given #17394 (H,wt=24): 19095 L(T(K(x,T(y,z)),u \ z),z,u) = K(x,z / (u * (y \ (u \ z)))). [para(7266(a,1),19094(a,1,1,1))]. given #17395 (H,wt=24): 19096 L(K(x,T(T(y,z),u \ z)),z,u) = K(x,z / (u * (y \ (u \ z)))). [para(7256(a,2),19095(a,1,1))]. given #17396 (H,wt=24): 19097 K(x,L(T(T(y,z),u \ z),z,u)) = K(x,z / (u * (y \ (u \ z)))). [hyper(11589,a,19096,a)]. given #17397 (H,wt=24): 19098 K(x,L(T(T(y,z),u * z),z,u)) = K(x,z / (u * (y \ (u \ z)))). [hyper(236,a,16546,a(flip),b,19097,a(flip)),flip(a)]. given #17398 (H,wt=38): 17833 a(x,y,K(z,u)) \ (w / L(v5,a(u,y,K(x,z)),w / (a(u,y,K(x,z)) * v5))) = w / (a(u,y,K(x,z)) * v5). [hyper(72,a,315,a,b,17792,a)]. given #17399 (H,wt=38): 18818 K(x,L((y / K(z,L(u,w,v5 \ 1))) / (v5 \ w),y,K(z,L(u,w,v5 \ 1)))) = K(x,y / (v5 \ (w * K(z,u)))). [para(18813(a,1),15428(a,2,2,2))]. given #17400 (H,wt=38): 18941 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(18939(a,2),14350(a,1,2,2))]. given #17401 (H,wt=24): 19100 K((x \ (y * a(z,u,K(w,v5)))) \ 1,v6) = x \ (y * T(y \ x,v6)). [para(17793(a,1),18941(a,1,2,2,1)),flip(a)]. given #17402 (H,wt=22): 19101 K((x \ (y * a(z,u,K(w,v5)))) \ 1,v6) = K((x \ y) \ 1,v6). [hyper(236,a,5150,a(flip),b,19100,a)]. given #17403 (H,wt=24): 19103 K((T(x,y) \ y) \ 1,z) = K(((y * a(u,w,K(v5,v6))) / x) \ 1,z). [hyper(236,a,18057,a(flip),b,19101,a(flip))]. given #17404 (H,wt=22): 19105 K(((x * a(y,z,K(u,w))) / v5) \ 1,v6) = K((x / v5) \ 1,v6). [hyper(236,a,13320,a(flip),b,19103,a(flip))]. given #17405 (H,wt=20): 19106 K(x / (y * a(z,u,K(w,v5))),v6) = K((y / x) \ 1,v6). [hyper(5825,a,19105,a)]. given #17406 (H,wt=18): 19107 K(x / (y * a(z,u,K(w,v5))),v6) = K(x / y,v6). [hyper(236,a,5699,a(flip),b,19106,a)]. given #17407 (H,wt=22): 19108 K(x / (L(K(y,z),u,w) * v5),v6) = K(x / (K(y,z) * v5),v6). [para(17981(a,1),19107(a,1,1,2))]. given #17408 (H,wt=26): 19109 K(x \ (L(K(y,z),u,w) * v5),v6) = K(((x \ v5) * x) / (K(z,y) * x),v6). [hyper(236,a,18733,a(flip),b,19108,a(flip)),flip(a)]. given #17409 (H,wt=26): 19111 K(x \ (L(K(y,z),u,w) * v5),v6) = K(x \ (K(y,z) * (x * (x \ v5))),v6). [hyper(236,a,17901,a(flip),b,19109,a)]. given #17410 (H,wt=22): 19112 K(x \ (L(K(y,z),u,w) * v5),v6) = K(x \ (K(y,z) * v5),v6). [para(14(a,1),19111(a,2,1,2,2))]. given #17411 (H,wt=32): 19113 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(236,a,17902,a,b,19112,a(flip)),flip(a)]. given #17412 (H,wt=32): 19116 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(236,a,17859,a(flip),b,19113,a)]. given #17413 (H,wt=24): 19117 K(x \ ((K(y,z) * L(K(y,z) \ 1,u,w)) * v5),v6) = K(x \ v5,v6). [para(5268(a,1),19116(a,2,1,2))]. given #17414 (H,wt=22): 19118 K(x \ ((K(y,z) * L(K(z,y),u,w)) * v5),v6) = K(x \ v5,v6). [para(5093(a,1),19117(a,1,1,2,1,2,1))]. given #17415 (H,wt=18): 19119 K(x \ (a(y,z,K(u,w)) * v5),v6) = K(x \ v5,v6). [para(10174(a,1),19118(a,1,1,2,1))]. given #17416 (H,wt=23): 19120 K(x \ ((y * z) * K(u,w)),v5) = K(x \ (y * (z * K(u,w))),v5). [para(14980(a,1),19119(a,1,1,2))]. given #17417 (H,wt=19): 19121 K((x * K(y,z)) \ (x * (u * K(y,z))),w) = K(u,w). [hyper(18367,a,19120,a),flip(a)]. given #17418 (H,wt=16): 19122 K(L(T(x,K(y,z)),K(y,z),u),w) = K(x,w). [para(178(a,1),19121(a,1,1))]. given #17419 (H,wt=16): 19123 K(L(x,K(y,z),u),T(w,K(y,z))) = K(x,w). [hyper(7825,a,19122,a)]. given #17420 (H,wt=12): 19124 K(L(x,K(y,z),u),w) = K(x,w). [hyper(16173,a,19123,a)]. given #17421 (H,wt=10): 19131 a(x,K(y,z),K(u,w)) = 1. [hyper(73,a,19124,a,b,14324,a),flip(a)]. given #17422 (H,wt=12): 19126 K(x,L(y,K(z,u),w)) = K(x,y). [hyper(11595,a,19124,a)]. given #17423 (H,wt=12): 19127 L(K(x,y),K(z,u),w) = K(x,y). [hyper(11554,a,19124,a)]. given #17424 (H,wt=16): 19138 K(x,T(T(y,z),z)) = K(x,L(y,K(u,w),v5)). [hyper(236,a,8051,a,b,19126,a),flip(a)]. given #17425 (H,wt=15): 19158 K(x,L(y,K(z,u),w)) != v5 | K(x,y) = v5. [para(19138(a,1),8174(a,1))]. given #17426 (H,wt=15): 19161 L(K(x,y),K(z,u),w) != v5 | K(x,y) = v5. [para(11470(a,2),19158(a,1))]. given #17427 (H,wt=15): 19162 K(L(x,K(y,z),u),w) != v5 | K(x,w) = v5. [para(11533(a,2),19158(a,1))]. given #17428 (H,wt=19): 19125 K((x * K(y,z)) \ u,w) = K((x \ u) * K(z,y),w). [hyper(16593,a,19124,a)]. given #17429 (H,wt=19): 19135 (x * K(y,z)) * K(u,w) = x * (K(y,z) * K(u,w)). [para(19124(a,1),11556(a,1,2))]. given #17430 (H,wt=10): 19171 L(x,K(y,z),K(u,w)) = x. [hyper(15614,a,19135,a)]. given #17431 (H,wt=12): 19177 T(x,L(y,K(z,u),w)) = T(x,y). [hyper(236,a,14677,a(flip),b,19171,a(flip)),flip(a)]. given #17432 (H,wt=15): 19176 L(x,K(y,z),T(u,w)) = L(x,K(y,z),u). [hyper(236,a,14764,a(flip),b,19171,a(flip)),flip(a)]. given #17433 (H,wt=17): 19189 L(x,K(y,z),u / w) = L(x,K(y,z),w \ u). [hyper(236,a,13541,a(flip),b,19176,a(flip)),flip(a)]. given #17434 (H,wt=19): 19140 K(x,(y * K(z,u)) \ w) = K(x,K(z,u) \ (y \ w)). [hyper(236,a,18805,a(flip),b,19126,a(flip))]. given #17435 (H,wt=19): 19141 K(x,(y / z) / K(u,w)) = K(x,y / (K(u,w) * z)). [hyper(236,a,15354,a(flip),b,19126,a(flip))]. given #17436 (H,wt=19): 19142 K(x,(y * K(z,u)) \ w) = K(x,K(u,z) * (y \ w)). [para(5277(a,1),19126(a,1,2))]. given #17437 (H,wt=19): 19145 (K(x,y) * K(z,u)) / w = K(x,y) * (K(z,u) / w). [para(19126(a,1),15478(a,1,1,1))]. given #17438 (H,wt=19): 19147 K(x,y / (K(z,u) * w)) = K(x,(y / w) * K(u,z)). [para(18656(a,1),19126(a,1,2))]. given #17439 (H,wt=19): 19148 x \ (K(y,z) * K(u,w)) = (x \ K(y,z)) * K(u,w). [para(19126(a,1),18813(a,1,2)),flip(a)]. given #17440 (H,wt=19): 19166 K((x * K(y,z)) \ u,w) = K(K(y,z) * (x \ u),w). [hyper(236,a,16266,a,b,19125,a)]. given #17441 (H,wt=19): 19174 (x * K(y,z)) * K(u,w) = x * (K(u,w) * K(y,z)). [para(16165(a,1),19135(a,2,2))]. given #17442 (H,wt=19): 19180 L(x * y,K(z,u),K(w,v5)) != y * v6 | T(x,y) = v6. [para(19171(a,2),169(a,2)),flip(a)]. given #17443 (H,wt=19): 19187 T(x,(y * K(z,u)) \ w) = T(x,K(u,z) * (y \ w)). [para(5277(a,1),19177(a,1,2))]. given #17444 (H,wt=19): 19188 T(x,y / (K(z,u) * w)) = T(x,(y / w) * K(u,z)). [para(18656(a,1),19177(a,1,2))]. given #17445 (H,wt=19): 19193 K(x,(y / z) / K(u,w)) = K(x,y / (K(w,u) \ z)). [para(5260(a,2),19141(a,2,2,2))]. given #17446 (H,wt=19): 19194 K(x,(K(y,z) * u) \ w) = K(x,K(z,y) * (u \ w)). [hyper(16675,a,19142,a)]. given #17447 (H,wt=19): 19195 K(x,y \ (z * K(u,w))) = K(x,K(u,w) * (y \ z)). [hyper(236,a,17903,a(flip),b,19142,a(flip)),flip(a)]. given #17448 (H,wt=19): 19202 K(x,y / (z * K(u,w))) = K(x,(y / z) * K(w,u)). [hyper(16687,a,19147,a)]. given #17449 (H,wt=19): 19203 K(x,(y / z) * K(u,w)) = K(x,y * (z \ K(u,w))). [hyper(236,a,14541,a(flip),b,19147,a(flip))]. given #17450 (H,wt=19): 19204 K((K(x,y) * z) \ u,w) = K(K(x,y) * (z \ u),w). [hyper(16684,a,19166,a)]. given #17451 (H,wt=19): 19207 (K(x,y) / z) \ K(u,w) = z * (K(u,w) * K(y,x)). [hyper(14296,a,19174,a)]. given #17452 (H,wt=19): 19219 K(x,y / (K(z,u) \ w)) = K(x,K(u,z) \ (y / w)). [hyper(16236,a,19193,a),flip(a)]. given #17453 (H,wt=19): 19220 K(x,y \ (K(z,u) * w)) = K(x,K(z,u) * (y \ w)). [hyper(17780,a,19194,a)]. given #17454 (H,wt=19): 19223 K(x,(y \ K(z,u)) * w) = K(x,K(z,u) * (y \ w)). [hyper(236,a,14520,a(flip),b,19194,a(flip)),flip(a)]. given #17455 (H,wt=19): 19225 K(x,K(y,z) * ((K(y,z) * u) \ w)) = K(x,u \ w). [para(5268(a,1),19194(a,1,2,1)),flip(a)]. given #17456 (H,wt=19): 19238 K(x,K(y,z) * (u / w)) = K(x,u * (w \ K(y,z))). [hyper(16182,a,19203,a)]. given #17457 (H,wt=17): 19256 K(x,y * (z \ K(z,u))) = K(x,y / T(z,u)). [hyper(16414,a,19238,a),flip(a)]. given #17458 (H,wt=19): 19240 K(x,y * (z \ K(u,y * u))) = K(x,T(y,u) / z). [hyper(236,a,16876,a(flip),b,19203,a(flip))]. given #17459 (H,wt=17): 19261 K(x,T(y,z \ 1) / u) = K(x,T(y,z) / u). [hyper(236,a,18527,a(flip),b,19240,a(flip)),flip(a)]. given #17460 (H,wt=19): 19241 K(x,(y * z) * (z \ K(u,w))) = K(x,y * K(u,w)). [para(15(a,1),19203(a,1,2,1)),flip(a)]. given #17461 (H,wt=19): 19252 K(x,(y \ K(z,u)) * w) = K(x,K(u,z) * (y \ w)). [hyper(236,a,15675,a,b,19223,a)]. given #17462 (H,wt=19): 19262 K(x,T(y,z \ (u \ z)) / w) = K(x,T(y,u) / w). [hyper(236,a,16715,a,b,19261,a(flip)),flip(a)]. given #17463 (H,wt=20): 19260 K(x,y * (z \ K(z,u))) != w | K(x,y / T(z,u)) = w. [para(19238(a,1),16414(a,1))]. given #17464 (H,wt=21): 19146 K(x,y) * ((K(z,u) * x) * w) = (K(z,u) * T(x,y)) * w. [para(19126(a,1),16597(a,1,1))]. given #17465 (H,wt=21): 19168 K(((x * y) \ z) * K(u,y),w) = K((x * T(y,u)) \ z,w). [para(6201(a,1),19125(a,1,1,1)),flip(a)]. given #17466 (H,wt=21): 19170 K(((x \ 1) \ y) * K(z,u),w) = K((x \ K(u,z)) \ y,w). [para(14046(a,1),19125(a,1,1,1)),flip(a)]. given #17467 (H,wt=21): 19197 K(x,K(y,z) * ((u * z) \ w)) = K(x,(u * T(z,y)) \ w). [para(6201(a,1),19142(a,1,2,1)),flip(a)]. given #17468 (H,wt=21): 19198 K(x,K(y,z) * ((u / y) \ w)) = K(x,(u / T(y,z)) \ w). [para(7555(a,1),19142(a,1,2,1)),flip(a)]. given #17469 (H,wt=21): 19200 K(x,K(y,z) * ((u \ z) \ w)) = K(x,(u \ T(z,y)) \ w). [para(14432(a,1),19142(a,1,2,1)),flip(a)]. given #17470 (H,wt=21): 19218 T(x,(y / z) * K(u,T(w,z))) = T(x,y / (z * K(w,u))). [para(8092(a,1),19188(a,1,2,2)),flip(a)]. given #17471 (H,wt=19): 19276 T(x,y / (z * K(u,w))) = T(x,K(u,w) * (y / z)). [hyper(16763,a,19218,a),flip(a)]. given #17472 (H,wt=19): 19278 T(x,(y * K(z,u)) / w) = T(x,K(u,z) * (y / w)). [hyper(236,a,17707,a,b,19276,a(flip)),flip(a)]. given #17473 (H,wt=21): 19221 K(x,K(y,z) * ((u \ 1) \ w)) = K(x,(u * K(y,z)) * w). [hyper(14617,a,19194,a),flip(a)]. given #17474 (H,wt=21): 19224 K(x,K(y,z) * ((z * u) \ w)) = K(x,(T(z,y) * u) \ w). [para(4906(a,1),19194(a,1,2,1)),flip(a)]. given #17475 (H,wt=21): 19226 K(x,K(y,z) * ((y \ u) \ w)) = K(x,(T(y,z) \ u) \ w). [para(5204(a,1),19194(a,1,2,1)),flip(a)]. given #17476 (H,wt=21): 19230 K(x,K(y,z) * ((u \ 1) \ w)) = K(x,u * (w * K(y,z))). [hyper(14234,a,19195,a),flip(a)]. given #17477 (H,wt=19): 19285 K(x,(y * K(z,u)) * w) = K(x,y * (w * K(z,u))). [hyper(236,a,19221,a(flip),b,19230,a(flip)),flip(a)]. given #17478 (H,wt=19): 19287 K(x,(K(y,z) / u) \ w) = K(x,u * (w * K(z,y))). [hyper(14321,a,19285,a)]. given #17479 (H,wt=19): 19288 K(x,(y \ K(z,u)) \ w) = K(x,y * (w * K(u,z))). [hyper(236,a,16766,a,b,19285,a(flip)),flip(a)]. given #17480 (H,wt=21): 19232 K(x,K(y,z) * (u \ (w * y))) = K(x,u \ (w * T(y,z))). [para(6201(a,1),19195(a,1,2,2)),flip(a)]. given #17481 (H,wt=21): 19234 K(x,K(y,z) * (u \ (w / z))) = K(x,u \ (w / T(z,y))). [para(7555(a,1),19195(a,1,2,2)),flip(a)]. given #17482 (H,wt=21): 19237 K(x,K(y,z) * (u \ (w \ y))) = K(x,u \ (w \ T(y,z))). [para(14432(a,1),19195(a,1,2,2)),flip(a)]. given #17483 (H,wt=17): 19294 K(x,y \ (z \ T(u,z))) = K(x,y \ (u / z)). [hyper(236,a,16523,a(flip),b,19237,a(flip))]. given #17484 (H,wt=21): 19239 K(x,y * (K(z,u) * (w \ 1))) = K(x,(y / w) * K(z,u)). [hyper(236,a,16646,a,b,19203,a),flip(a)]. given #17485 (H,wt=21): 19243 K(K(x,y) * ((y \ z) \ u),w) = K((T(y,x) \ z) \ u,w). [para(5204(a,1),19204(a,1,1,1)),flip(a)]. given #17486 (H,wt=21): 19244 K(K(x,y) * ((x / z) \ u),w) = K((T(x,y) / z) \ u,w). [para(14465(a,1),19204(a,1,1,1)),flip(a)]. given #17487 (H,wt=21): 19248 K(x,K(y,z) * (u \ (y * w))) = K(x,u \ (T(y,z) * w)). [para(4906(a,1),19220(a,1,2,2)),flip(a)]. given #17488 (H,wt=21): 19249 K(x,K(y,z) * (u \ (z \ w))) = K(x,u \ (T(z,y) \ w)). [para(5204(a,1),19220(a,1,2,2)),flip(a)]. given #17489 (H,wt=21): 19253 x * K(x,K(y,z) * (u \ w)) = T(x,(u \ K(y,z)) * w). [para(19223(a,1),4887(a,2,2)),flip(a)]. given #17490 (H,wt=19): 19301 T(x,(y \ K(z,u)) * w) = T(x,K(z,u) * (y \ w)). [hyper(4890,a,19253,a),flip(a)]. given #17491 (H,wt=21): 19257 K(x,K(y,z) * (u / (w * z))) = K(x,u / (w * T(z,y))). [hyper(236,a,16794,a(flip),b,19238,a)]. given #17492 (H,wt=21): 19258 K(x,K(y,z) * (u / (w \ 1))) = K(x,u * (w * K(y,z))). [hyper(236,a,14161,a(flip),b,19238,a)]. given #17493 (H,wt=21): 19263 K(x,K(y,z \ 1) * (z \ u)) = K(x,T(z \ 1,y) * u). [para(4834(a,1),19252(a,1,2,1)),flip(a)]. given #17494 (H,wt=19): 19302 K(x,T(y \ 1,z) * u) = K(x,K(z,y) * (y \ u)). [hyper(15835,a,19263,a),flip(a)]. given #17495 (H,wt=17): 19303 K(x,T(y \ 1,z) * u) = K(x,T(y,z) \ u). [hyper(236,a,15690,a(flip),b,19302,a)]. given #17496 (H,wt=17): 19304 K(x,T(y \ 1,z) \ u) = K(x,T(y,z) * u). [hyper(14382,a,19303,a),flip(a)]. given #17497 (H,wt=19): 19306 K(x,T(y,z \ 1) \ u) = K(x,T(y \ 1,z) * u). [hyper(236,a,18515,a(flip),b,19303,a(flip))]. given #17498 (H,wt=17): 19308 K(x,T(y,z \ 1) \ u) = K(x,T(y,z) \ u). [hyper(236,a,19303,a(flip),b,19306,a)]. given #17499 (H,wt=19): 19307 K(x,(T(y,z) \ 1) \ u) = K(x,T(y \ 1,z) \ u). [hyper(236,a,14051,a,b,19304,a),flip(a)]. given #17500 (H,wt=17): 19311 K(x,(T(y,z) \ 1) \ x) = K(x,T(y * x,z)). [hyper(236,a,14353,a(flip),b,19307,a)]. given #17501 (H,wt=15): 19312 K(x,T(y * x,z)) = K(x,x * T(y,z)). [hyper(8504,a,19311,a),flip(a)]. given #17502 (H,wt=15): 19313 K(x,T(x * y,z)) = K(x,x * T(y,z)). [hyper(13127,a,19312,a)]. given #17503 (H,wt=21): 19268 K(K(x,y) * ((z * y) \ u),w) = K((z * T(y,x)) \ u,w). [hyper(16184,a,19168,a)]. given #17504 (H,wt=21): 19269 K(((x * y) \ z) * K(y,u),w) = K((x * T(y,u)) \ z,w). [hyper(15706,a,19168,a)]. given #17505 (H,wt=21): 19270 K(x,K(y,z) * ((u * y) \ w)) = K(x,(u * T(y,z)) \ w). [hyper(15676,a,19197,a)]. given #17506 (H,wt=21): 19272 K(x,((y / z) \ u) * K(w,z)) = K(x,(y / T(z,w)) \ u). [hyper(16361,a,19198,a)]. given #17507 (H,wt=21): 19273 K(x,K(y,z) * ((u / z) \ w)) = K(x,(u / T(z,y)) \ w). [hyper(15676,a,19198,a)]. given #17508 (H,wt=21): 19274 K(x,((y \ z) \ u) * K(w,z)) = K(x,(y \ T(z,w)) \ u). [hyper(16181,a,19200,a)]. given #17509 (H,wt=21): 19279 T(x,(y * K(z \ 1,u)) / w) = T(x,K(u,z) * (y / w)). [hyper(236,a,18442,a(flip),b,19278,a)]. given #17510 (H,wt=19): 19318 T(x,(y * K(z \ 1,u)) / z) = T(x,y / T(z,u)). [hyper(236,a,16145,a(flip),b,19279,a)]. given #17511 (H,wt=17): 19319 T(x,y * T(z \ 1,u)) = T(x,y / T(z,u)). [hyper(236,a,14254,a(flip),b,19318,a(flip)),flip(a)]. given #17512 (H,wt=17): 19321 T(x,y / T(1 / z,u)) = T(x,y * T(z,u)). [para(65(a,1),19319(a,1,2,2,1)),flip(a)]. given #17513 (H,wt=17): 19323 T(x,y / T(z \ 1,u)) = T(x,y * T(z,u)). [hyper(236,a,8994,a(flip),b,19321,a(flip)),flip(a)]. given #17514 (H,wt=19): 19322 K(x * T(y \ 1,z),u) = u / T(u,x / T(y,z)). [para(19319(a,1),4826(a,2,2))]. given #17515 (H,wt=17): 19325 K(x * T(y \ 1,z),u) = K(x / T(y,z),u). [hyper(236,a,4826,a,b,19322,a)]. given #17516 (H,wt=17): 19326 K(x / T(y \ 1,z),u) = K(x * T(y,z),u). [hyper(5885,a,19325,a),flip(a)]. given #17517 (H,wt=19): 19327 K(T(x \ 1,y) \ z,u) = K(z * T(x,y),T(u,x)). [hyper(16408,a,19326,a)]. given #17518 (H,wt=17): 19328 K(T(x \ 1,y) \ z,u) = K(T(x,y) * z,u). [hyper(236,a,16202,a(flip),b,19327,a)]. given #17519 (H,wt=17): 19329 K(T(x \ 1,y) * z,u) = K(T(x,y) \ z,u). [hyper(6071,a,19328,a),flip(a)]. given #17520 (H,wt=21): 19280 K(x,((y * z) \ u) * K(y,w)) = K(x,(T(y,w) * z) \ u). [hyper(16361,a,19224,a)]. given #17521 (H,wt=21): 19281 K(x,K(y,z) * ((y * u) \ w)) = K(x,(T(y,z) * u) \ w). [hyper(15676,a,19224,a)]. given #17522 (H,wt=21): 19282 K(x,((y \ z) \ u) * K(w,y)) = K(x,(T(y,w) \ z) \ u). [hyper(16361,a,19226,a)]. given #17523 (H,wt=21): 19283 K(x,((y \ z) \ u) * K(y,w)) = K(x,(T(y,w) \ z) \ u). [hyper(16181,a,19226,a)]. given #17524 (H,wt=21): 19284 K(x,K(y,z) * ((z \ u) \ w)) = K(x,(T(z,y) \ u) \ w). [hyper(15676,a,19226,a)]. given #17525 (H,wt=21): 19289 K(x,(y \ z) * (u * K(z,w))) = K(x,(y \ T(z,w)) * u). [para(14432(a,1),19285(a,1,2,1)),flip(a)]. given #17526 (H,wt=19): 19340 K(x,(y \ T(z,K(u,w))) * v5) = K(x,(y \ z) * v5). [hyper(16689,a,19289,a),flip(a)]. given #17527 (H,wt=21): 19291 K(x,(y \ K(z,z * u)) \ w) = K(x,y * (w * K(z,u))). [hyper(236,a,18217,a(flip),b,19288,a)]. given #17528 (H,wt=21): 19292 K(x,(y * z) \ (u * T(y,z))) = K(x,(z * y) \ (u * y)). [para(11048(a,1),19232(a,1,2)),flip(a)]. given #17529 (H,wt=21): 19293 K(x,K(y,z) * (u \ (w \ z))) = K(x,u \ (w \ T(z,y))). [hyper(15676,a,19237,a)]. given #17530 (H,wt=21): 19299 K(x,K(y,z) * (u \ (z * w))) = K(x,u \ (T(z,y) * w)). [hyper(15676,a,19248,a)]. given #17531 (H,wt=21): 19300 K(x,K(y,z) * (u \ (y \ w))) = K(x,u \ (T(y,z) \ w)). [hyper(15676,a,19249,a)]. given #17532 (H,wt=21): 19310 K(x,T(y * (z \ 1),z) \ u) = K(x,((z \ 1) * y) \ u). [hyper(236,a,15764,a(flip),b,19308,a(flip))]. given #17533 (H,wt=21): 19337 K(x,(y \ z) * (u * K(w,z))) = K(x,(y \ T(z,w)) * u). [hyper(18270,a,19289,a)]. given #17534 (H,wt=21): 19338 K(x,K(y,z) * ((u \ z) * w)) = K(x,(u \ T(z,y)) * w). [hyper(18145,a,19289,a)]. given #17535 (H,wt=21): 19339 K(x,K(y,z) * ((u \ y) * w)) = K(x,(u \ T(y,z)) * w). [hyper(18144,a,19289,a)]. given #17536 (H,wt=21): 19341 K(x,(y \ z) * (K(z,u) * w)) = K(x,(y \ T(z,u)) * w). [hyper(16688,a,19289,a)]. given #17537 (H,wt=21): 19342 K(x,(y \ T(z,T(u,w))) * v5) = K(x,(y \ T(z,u)) * v5). [para(7135(a,1),19340(a,1,2,1,2))]. given #17538 (H,wt=22): 19143 K(x,L(y,z,L(u,K(w,v5),v6))) = K(x,y) * a(y,z,K(x,u)). [para(19126(a,1),14018(a,1,2,3)),flip(a)]. given #17539 (H,wt=18): 19348 K(x,L(y,z,L(u,K(w,v5),v6))) = K(x,L(y,z,u)). [hyper(236,a,14018,a(flip),b,19143,a)]. given #17540 (H,wt=21): 19349 K(x,L(y,z,L(u,K(w,v5),v6))) != v7 | K(x,L(y,z,u)) = v7. [para(19143(a,2),14023(a,1))]. given #17541 (H,wt=22): 19159 K(x,(y * K(z,u)) \ w) != v5 | K(x,K(u,z) * (y \ w)) = v5. [para(5277(a,1),19158(a,1,2))]. given #17542 (H,wt=22): 19163 K(x,y \ (z * K(u,w))) != v5 | K(x,(z \ y) \ K(u,w)) = v5. [para(11485(a,1),19158(a,1))]. given #17543 (H,wt=19): 19352 K(x,(y \ z) \ K(u,w)) = K(x,K(u,w) * (z \ y)). [hyper(19163,a,19195,a)]. given #17544 (H,wt=19): 19353 K(x,K(y,z) * ((u * w) \ u)) = K(x,w \ K(y,z)). [para(13(a,1),19352(a,1,2,1)),flip(a)]. given #17545 (H,wt=19): 19355 K(x,(y * z) \ (K(u,w) * y)) = K(x,z \ K(u,w)). [hyper(236,a,19220,a,b,19353,a(flip)),flip(a)]. given #17546 (H,wt=19): 19356 K(x,y / (z * K(u,w))) = K(x,(z / y) \ K(w,u)). [hyper(18947,a,19355,a)]. given #17547 (H,wt=19): 19357 K(x,(K(y,z) * u) / w) = K(x,(w / u) \ K(y,z)). [hyper(236,a,18389,a,b,19356,a(flip)),flip(a)]. given #17548 (H,wt=20): 19354 K(x,K(y,z) * L(u \ 1,u,w)) = K(x,u \ K(z,y)). [hyper(15701,a,19353,a)]. given #17549 (H,wt=22): 19164 K((x * K(y,z)) \ u,w) != v5 | K(K(z,y) * (x \ u),w) = v5. [para(5277(a,1),19162(a,1,1))]. given #17550 (H,wt=19): 19360 K(x \ (K(y,z) * u),w) = K(K(y,z) * (x \ u),w). [hyper(19164,a,17859,a),flip(a)]. given #17551 (H,wt=19): 19362 K(x \ (y * K(z,u)),w) = K(K(z,u) * (x \ y),w). [hyper(236,a,16661,a(flip),b,19360,a(flip)),flip(a)]. given #17552 (H,wt=22): 19165 K(x / (K(y,z) * u),w) != v5 | K((x / u) * K(z,y),w) = v5. [para(18656(a,1),19162(a,1,1))]. given #17553 (H,wt=19): 19369 K((x / y) * K(z,u),w) = K(x * (y \ K(z,u)),w). [hyper(19165,a,14521,a)]. given #17554 (H,wt=19): 19371 K(K(x,y) * (z / u),w) = K(z * (u \ K(y,x)),w). [hyper(16367,a,19369,a)]. given #17555 (H,wt=17): 19375 K(x * (y \ K(z,x)),u) = K(T(x,z) / y,u). [para(14465(a,1),19371(a,1,1)),flip(a)]. given #17556 (H,wt=21): 19373 K(K(x,y) * (z / u),T(w,z)) = K((u \ K(y,x)) * z,w). [hyper(236,a,13397,a(flip),b,19371,a)]. given #17557 (H,wt=21): 19374 K(K(x,y) * (z / (y \ u)),w) = K(z / (T(y,x) \ u),w). [hyper(14546,a,19371,a(flip)),flip(a)]. given #17558 (H,wt=17): 19379 K(x / (T(y,z) \ z),u) = K(x / (z / y),u). [hyper(236,a,16344,a(flip),b,19374,a(flip))]. given #17559 (H,wt=17): 19380 K(x / (y \ T(z,y)),u) = K(x / (z / y),u). [para(4117(a,1),19379(a,1,1,2))]. given #17560 (H,wt=21): 19376 K(x * ((K(y,z) * u) \ 1),w) = K(K(y,z) * (x / u),w). [para(14518(a,2),19371(a,2,1,2)),flip(a)]. given #17561 (H,wt=19): 19382 K(x / (y * K(z,u)),w) = K(K(z,u) * (x / y),w). [hyper(16804,a,19376,a)]. given #17562 (H,wt=21): 19378 K(K(x,y) * (z / (x \ u)),w) = K(z / (T(x,y) \ u),w). [hyper(16368,a,19374,a)]. given #17563 (H,wt=21): 19381 K(x / (y / z),T(u,z \ y)) = K((z \ T(y,z)) \ x,u). [hyper(16990,a,19380,a),flip(a)]. given #17564 (H,wt=17): 19386 K((x \ T(y,x)) \ z,u) = K((y / x) \ z,u). [hyper(16009,a,19381,a),flip(a)]. given #17565 (H,wt=17): 19387 K((T(x,y) \ y) \ z,u) = K((y / x) \ z,u). [para(4117(a,2),19386(a,1,1,1))]. given #17566 (H,wt=21): 19384 K(K(x,y) * (z / (u / y)),w) = K(z / (u / T(y,x)),w). [para(7555(a,1),19382(a,1,1,2)),flip(a)]. given #17567 (H,wt=21): 19385 K(x * ((y \ z) \ K(u,y)),w) = K(x / (T(y,u) \ z),w). [hyper(236,a,19371,a(flip),b,19378,a(flip)),flip(a)]. given #17568 (H,wt=22): 19205 K((x * K(y,z)) \ u,T(y,w)) != v5 | K(x \ u,T(y,w)) = v5. [para(19166(a,2),8420(a,1))]. given #17569 (H,wt=22): 19229 K(x,K(y,z) * (u \ w)) != v5 | K(x,u \ (K(y,z) * w)) = v5. [para(19194(a,1),17780(a,1))]. given #17570 (H,wt=22): 19242 K(x,y * (z \ K(u,w))) != v5 | K(x,K(u,w) * (y / z)) = v5. [para(19203(a,1),16182(a,1))]. given #17571 (H,wt=22): 19245 K((K(x,y) * z) \ u,w) != v5 | K((z \ u) * K(y,x),w) = v5. [para(19204(a,2),16274(a,1))]. given #17572 (H,wt=22): 19259 K(x,y * (z \ K(u,w))) != v5 | K(x,(y / z) * K(u,w)) = v5. [para(19238(a,1),16181(a,1))]. given #17573 (H,wt=22): 19264 K(x,(y \ K(z,u)) * w) != v5 | K(x,K(z,u) * (y \ w)) = v5. [para(19252(a,2),15676(a,1))]. given #17574 (H,wt=22): 19295 K(x,y \ (z \ T(u,K(w,v5)))) != v6 | K(x,y \ (z \ u)) = v6. [para(19237(a,1),16624(a,1))]. given #17575 (H,wt=21): 19394 K(x,y \ T(z,u / K(w,v5))) = K(x,y \ (u \ (z * u))). [hyper(19295,a,18468,a),flip(a)]. given #17576 (H,wt=19): 19395 K(x,y \ T(z,u / K(w,v5))) = K(x,y \ T(z,u)). [para(32(a,2),19394(a,2,2,2))]. given #17577 (H,wt=21): 19396 K(x,y \ T(z,T(u,w) \ v5)) = K(x,y \ T(z,u \ v5)). [para(7347(a,1),19395(a,1,2,2,2))]. given #17578 (H,wt=22): 19296 K(x,(y / z) * K(u,w)) != v5 | K(x,y * (z \ K(u,w))) = v5. [para(19239(a,1),16731(a,1))]. given #17579 (H,wt=22): 19345 K(x,((y \ 1) * (y * z)) \ u) = K(x,R(z,y,y \ 1) \ u). [para(748(a,1),19310(a,1,2,1)),flip(a)]. given #17580 (H,wt=21): 19400 K(x,R(y,z,z \ 1) \ u) = K(x,L(y,z,z \ 1) \ u). [hyper(6727,a,19345,a),flip(a)]. given #17581 (H,wt=22): 19351 K(x,y \ (z * K(u,w))) != v5 | K(x,K(u,w) * (y \ z)) = v5. [para(17903(a,1),19159(a,1))]. given #17582 (H,wt=22): 19392 K(x,y / (z * K(u,w))) != v5 | K(x,(y / z) * K(w,u)) = v5. [para(16792(a,2),19259(a,1))]. given #17583 (H,wt=22): 19393 K(x,(K(y,z) * u) \ w) != v5 | K(x,K(z,y) * (u \ w)) = v5. [para(14520(a,2),19264(a,1))]. given #17584 (H,wt=22): 19398 K(x,y / (K(z,u) * w)) != v5 | K(x,y * (w \ K(u,z))) = v5. [para(19147(a,2),19296(a,1))]. given #17585 (H,wt=22): 19399 K(x,y / (z * K(u,w))) != v5 | K(x,y * (z \ K(w,u))) = v5. [para(19202(a,2),19296(a,1))]. given #17586 (H,wt=22): 19402 K(x,(y * K(z,u)) / w) != v5 | K(x,y * (w \ K(z,u))) = v5. [para(17735(a,2),19399(a,1))]. given #17587 (H,wt=22): 19403 K(x,(K(y,z) * u) / w) != v5 | K(x,u * (w \ K(y,z))) = v5. [para(18389(a,2),19399(a,1))]. given #17588 (H,wt=22): 19404 K(x,(y / z) \ K(u,w)) != v5 | K(x,z * (y \ K(u,w))) = v5. [para(19356(a,1),19399(a,1))]. given #17589 (H,wt=23): 19151 K(x,T((y / z) / K(u,w),v5)) = K(x,T(y / (K(u,w) * z),v5)). [hyper(236,a,15574,a(flip),b,19127,a(flip))]. given #17590 (H,wt=23): 19167 K(((x \ 1) * K(y,z)) \ u,w) = K(((1 / x) \ u) * K(z,y),w). [hyper(236,a,5740,a(flip),b,19125,a(flip)),flip(a)]. given #17591 (H,wt=23): 19169 K((x * ((y * z) / y)) \ u,w) = K(((x * z) \ u) * K(z,y),w). [para(7545(a,1),19125(a,1,1,1))]. given #17592 (H,wt=21): 19409 K((x * ((y * z) / y)) \ u,w) = K((x * T(z,y)) \ u,w). [hyper(236,a,19269,a(flip),b,19169,a)]. given #17593 (H,wt=19): 19410 K((x * T(T(y,z),z)) \ u,w) = K((x * y) \ u,w). [para(163(a,1),19409(a,1,1,1,2)),flip(a)]. given #17594 (H,wt=17): 19413 K((T(x,y) * y) \ z,u) = K((y * x) \ z,u). [para(119(a,1),19410(a,1,1,1))]. given #17595 (H,wt=23): 19192 K(x,K(y,T(z,u)) \ (w \ v5)) = K(x,w \ (K(y,T(z,u)) \ v5)). [hyper(236,a,18998,a(flip),b,19140,a(flip))]. given #17596 (H,wt=21): 19415 K(x,y \ (K(z,T(u,w)) \ v5)) = K(x,K(u,z) \ (y \ v5)). [hyper(16755,a,19192,a),flip(a)]. given #17597 (H,wt=19): 19418 K(x,K(y,z) \ (u \ w)) = K(x,u \ (K(z,y) \ w)). [hyper(236,a,17950,a(flip),b,19415,a(flip))]. given #17598 (H,wt=21): 19416 K(x,y \ (K(z,T(u,w)) \ v5)) = K(x,K(z,u) \ (y \ v5)). [hyper(16690,a,19192,a),flip(a)]. given #17599 (H,wt=21): 19420 K(x,K(y,z) \ ((T(z,y) \ u) \ w)) = K(x,(z \ u) \ w). [hyper(236,a,17900,a(flip),b,19418,a)]. given #17600 (H,wt=23): 19222 K(x,K(y \ z,y) * (u \ (z / y))) = K(x,((y \ z) \ u) \ 1). [hyper(6463,a,19194,a),flip(a)]. given #17601 (H,wt=21): 19422 K(x,K(y,z) * (u \ (y / z))) = K(x,((z \ y) \ u) \ 1). [hyper(13176,a,19222,a)]. given #17602 (H,wt=19): 19423 K(x,K(y,z) * (u \ (y / z))) = K(x,u \ (z \ y)). [hyper(236,a,6408,a(flip),b,19422,a)]. given #17603 (H,wt=17): 19424 K(x,y \ (z / T(u,z))) = K(x,y \ (u \ z)). [hyper(236,a,19234,a(flip),b,19423,a(flip)),flip(a)]. given #17604 (H,wt=23): 19233 K(x,y \ T(z * K(u,w),u)) = K(x,K(u,w) * (y \ T(z,u))). [para(7133(a,2),19195(a,1,2,2))]. given #17605 (H,wt=23): 19254 x / (K(y,K(z,u) * (w \ v5)) * x) = K((w \ K(z,u)) * v5,y). [para(19223(a,1),5266(a,1,2,1))]. given #17606 (H,wt=19): 19426 K((x \ K(y,z)) * u,w) = K(K(y,z) * (x \ u),w). [hyper(17977,a,19254,a),flip(a)]. given #17607 (H,wt=21): 19428 K(K(x,y) * (z \ u),T(w,u)) = K(u * (z \ K(x,y)),w). [hyper(13410,a,19426,a),flip(a)]. given #17608 (H,wt=22): 19427 K((x \ K(y,z)) * u,w) != v5 | K(K(y,z) * (x \ u),w) = v5. [para(19254(a,1),5272(a,1))]. given #17609 (H,wt=23): 19271 K(x,K(y,T(z,u)) * ((w * y) \ v5)) = K(x,(w * T(y,z)) \ v5). [hyper(236,a,16700,a,b,19197,a(flip)),flip(a)]. given #17610 (H,wt=21): 19434 K(x,(y * T(z,T(u,w))) \ v5) = K(x,(y * T(z,u)) \ v5). [hyper(236,a,19270,a(flip),b,19271,a(flip)),flip(a)]. given #17611 (H,wt=23): 19275 K(x,K(y,T(z,u)) * ((w \ z) \ v5)) = K(x,(w \ T(z,y)) \ v5). [hyper(236,a,16634,a,b,19200,a(flip)),flip(a)]. given #17612 (H,wt=23): 19305 K(x,y / T(z,u)) * K(x,K(y,z)) = K(x,T(z \ 1,u) * y). [hyper(236,a,16062,a,b,19303,a),flip(a)]. given #17613 (H,wt=17): 19436 K(x,y * T(z \ 1,u)) = K(x,y / T(z,u)). [hyper(18,a,16437,a,b,19305,a),flip(a)]. given #17614 (H,wt=17): 19437 K(x,y / T(1 / z,u)) = K(x,y * T(z,u)). [para(65(a,1),19436(a,1,2,2,1)),flip(a)]. given #17615 (H,wt=23): 19316 K(x,(y * T(z,u)) \ (z * w)) = K(x,(y * z) \ (T(z,u) * w)). [hyper(236,a,19248,a(flip),b,19270,a(flip))]. given #17616 (H,wt=23): 19324 T(x,y / (((z * u) \ u) \ 1)) = T(x,y * T((u * z) \ u,u)). [para(11824(a,1),19323(a,1,2,2))]. given #17617 (H,wt=21): 19438 T(x,y / (((z * u) \ u) \ 1)) = T(x,y * (u / (u * z))). [hyper(236,a,15749,a(flip),b,19324,a)]. given #17618 (H,wt=19): 19439 T(x,y * (z / (z * u))) = T(x,y * ((u * z) \ z)). [hyper(236,a,14250,a(flip),b,19438,a(flip))]. given #17619 (H,wt=23): 19336 K(x,((y \ z) \ u) * K(y \ w,y)) = K(x,(T(y,w) \ z) \ u). [hyper(16381,a,19282,a)]. given #17620 (H,wt=21): 19441 K(x,(T(y,y \ z) \ u) \ w) = K(x,(T(y,z) \ u) \ w). [hyper(236,a,19282,a(flip),b,19336,a(flip)),flip(a)]. given #17621 (H,wt=21): 19442 K(x,(((y \ z) \ z) \ u) \ w) = K(x,(T(y,z) \ u) \ w). [para(120(a,1),19441(a,1,2,1,1))]. given #17622 (H,wt=23): 19343 K(x,(y \ T(z,u * w)) * v5) = K(x,(y \ T(z,w * u)) * v5). [para(13063(a,1),19340(a,1,2,1,2))]. given #17623 (H,wt=23): 19346 K(x,(y \ T(z,z * u)) * w) = K(x,K(z,u) * ((y \ z) * w)). [hyper(16418,a,19339,a),flip(a)]. given #17624 (H,wt=21): 19445 K(x,(y \ T(z,z * u)) * w) = K(x,(y \ T(z,u)) * w). [hyper(236,a,19339,a(flip),b,19346,a)]. given #17625 (H,wt=23): 19347 K(x,(y \ T(z,T(u,w))) * v5) = K(x,(y \ z) * (K(z,u) * v5)). [hyper(16753,a,19341,a),flip(a)]. given #17626 (H,wt=23): 19366 K(x \ (y * (z * K(u,w))),v5) = K(K(u,w) * (x \ (y * z)),v5). [hyper(236,a,19120,a(flip),b,19362,a(flip)),flip(a)]. given #17627 (H,wt=23): 19370 K((x / y) * K(z,u \ w),v5) = K(x * (y \ K(z,w / u)),v5). [hyper(16757,a,19369,a)]. given #17628 (H,wt=21): 19448 K(x * (y \ K(z,u / z)),w) = K((x / y) * K(u,z),w). [hyper(236,a,15798,a(flip),b,19370,a(flip))]. given #17629 (H,wt=21): 19449 K(x * (y \ K(z,u / z)),w) = K(x * (y \ K(u,z)),w). [hyper(236,a,19369,a(flip),b,19448,a)]. given #17630 (H,wt=21): 19450 K(x * (y \ K(z,z \ u)),w) = K(x * (y \ K(u,z)),w). [para(4994(a,1),19449(a,1,1,2,2))]. given #17631 (H,wt=23): 19391 K((x \ (y * z)) * K(T(z,y),u),w) = K(x \ (y * T(z,u)),w). [hyper(19245,a,17730,a)]. given #17632 (H,wt=23): 19397 K(x,(T(y,z) \ u) \ T(w,y \ u)) = K(x,w / (T(y,z) \ u)). [hyper(13148,a,19396,a),flip(a)]. given #17633 (H,wt=23): 19407 K(x,T((y / z) / K(u,w),v5)) = K(x,T(y / (K(w,u) \ z),v5)). [para(5260(a,2),19151(a,2,2,1,2))]. given #17634 (H,wt=23): 19425 K(x,y \ ((z \ u) * T(z,w))) = K(x,K(z,w) * (y \ T(u,z))). [hyper(236,a,13289,a(flip),b,19233,a(flip)),flip(a)]. given #17635 (H,wt=23): 19446 K(x,(y \ T(z,z * u)) * w) = K(x,(y \ z) * (w * K(u,z))). [hyper(236,a,18141,a(flip),b,19346,a)]. given #17636 (H,wt=23): 19452 K((x \ (y * z)) * K(z,T(u,y)),w) = K(x \ (y * T(z,u)),w). [para(7260(a,1),19391(a,1,1,2))]. given #17637 (H,wt=21): 19456 K(K(x,y) * (z \ (u * y)),w) = K(z \ (u * T(y,x)),w). [hyper(17264,a,19452,a)]. given #17638 (H,wt=23): 19453 K(x,(T(y,z) \ z) \ T(u,y \ z)) = K(x,u / (y \ T(z,y))). [para(4117(a,1),19397(a,2,2,2))]. given #17639 (H,wt=23): 19454 K(x,T(y / (K(z,u) \ w),v5)) = K(x,T((y / w) * K(z,u),v5)). [para(7547(a,1),19407(a,1,2,1)),flip(a)]. given #17640 (H,wt=23): 19458 K(x,K(y,z) \ T(u / w,v5)) = K(x,T(u / (K(z,y) \ w),v5)). [hyper(236,a,18620,a,b,19454,a),flip(a)]. given #17641 (H,wt=24): 19228 K(x,K(y,z) * ((u \ 1) \ w)) != v5 | K(x,(u * K(y,z)) * w) = v5. [para(19194(a,1),14617(a,1))]. given #17642 (H,wt=24): 19236 K(x,K(y,z) * ((u \ 1) \ w)) != v5 | K(x,u * (w * K(y,z))) = v5. [para(19195(a,1),14234(a,1))]. given #17643 (H,wt=22): 19460 K(x,(y * K(z,u)) * w) != v5 | K(x,y * (w * K(z,u))) = v5. [para(19221(a,1),19236(a,1))]. given #17644 (H,wt=22): 19461 K(x,(y \ K(z,u)) \ w) != v5 | K(x,y * (w * K(u,z))) = v5. [para(16766(a,2),19460(a,1))]. given #17645 (H,wt=24): 19367 K(K(x,y) * (z \ u),T(w,u)) != v5 | K((u * K(x,y)) / z,w) = v5. [para(19362(a,1),16976(a,1))]. given #17646 (H,wt=19): 19462 K((x * K(y,z)) / u,w) = K(x * (u \ K(y,z)),w). [hyper(19367,a,19428,a)]. given #17647 (H,wt=24): 19377 K(K(x,y) * (z / (u \ 1)),w) != v5 | K(z * (u * K(y,x)),w) = v5. [para(19371(a,2),14899(a,1))]. given #17648 (H,wt=24): 19406 K(x,(K(y,z) * u) * (w \ 1)) != v5 | K(x,u * (w \ K(y,z))) = v5. [para(14060(a,2),19403(a,1))]. given #17649 (H,wt=24): 19429 K(K(x,y) * (z \ u),T(w,u)) != v5 | K(u * (z \ K(x,y)),w) = v5. [para(19426(a,1),13410(a,1))]. given #17650 (H,wt=24): 19432 K((x * K(y,z)) * u,w) != v5 | K(K(y,z) * ((1 / x) \ u),w) = v5. [para(14090(a,1),19427(a,1,1,1))]. given #17651 (H,wt=21): 19464 K(K(x,y) * ((1 / z) \ u),w) = K(z * (u * K(y,x)),w). [hyper(19432,a,18257,a)]. given #17652 (H,wt=24): 19433 K(K(x,y) * (z / u),T(w,z)) != v5 | K(K(y,x) * (u \ z),w) = v5. [para(19373(a,2),19427(a,1))]. given #17653 (H,wt=25): 19206 K(K(x,x \ y) * ((z * y) \ u),w) = K((z * (x * (y / x))) \ u,w). [para(10662(a,1),19166(a,1,1,1)),flip(a)]. given #17654 (H,wt=23): 19465 K((x * (y * (z / y))) \ u,w) = K(K(y,z) * ((x * z) \ u),w). [hyper(13393,a,19206,a),flip(a)]. given #17655 (H,wt=21): 19466 K((x * (y * (z / y))) \ u,w) = K((x * T(z,y)) \ u,w). [hyper(236,a,19268,a(flip),b,19465,a)]. given #17656 (H,wt=25): 19227 K(x,((y / (y / z)) \ u) \ w) = K(x,K(z \ y,z) * ((z \ u) \ w)). [para(5509(a,2),19194(a,1,2,1))]. given #17657 (H,wt=23): 19468 K(x,(T(y,y \ z) \ u) \ w) = K(x,((z / (z / y)) \ u) \ w). [hyper(236,a,19284,a(flip),b,19227,a),flip(a)]. given #17658 (H,wt=21): 19469 K(x,((y / (y / z)) \ u) \ w) = K(x,(T(z,y) \ u) \ w). [hyper(236,a,19441,a(flip),b,19468,a(flip))]. given #17659 (H,wt=17): 19470 K(x,(T(y,z) \ z) \ u) = K(x,(z / y) \ u). [para(65(a,1),19469(a,1,2,1)),flip(a)]. given #17660 (H,wt=17): 19472 K(x,(y \ T(z,y)) \ u) = K(x,(z / y) \ u). [para(4117(a,1),19470(a,1,2,1))]. given #17661 (H,wt=21): 19471 K(x,(y / z) \ T(u,z \ y)) = K(x,u / (z \ T(y,z))). [hyper(236,a,19453,a(flip),b,19470,a(flip))]. given #17662 (H,wt=17): 19473 K(x,y / (z \ T(u,z))) = K(x,y / (u / z)). [hyper(16740,a,19471,a),flip(a)]. given #17663 (H,wt=20): 19474 K(x,y / (z \ T(u,z))) != w | K(x,y / (u / z)) = w. [para(19471(a,1),16740(a,1))]. given #17664 (H,wt=18): 19477 K(x,y / (z \ 1)) != u | K(x,y / (1 / z)) = u. [para(147(a,1),19474(a,1,2,2,2))]. given #17665 (H,wt=20): 19478 K(x,y / (T(z,u) \ u)) != w | K(x,y / (u / z)) = w. [para(4117(a,2),19474(a,1,2,2))]. given #17666 (H,wt=25): 19235 K(x,K(y \ z,y) * (u \ (w * z))) = K(x,u \ (w * ((y \ z) * y))). [para(10659(a,1),19195(a,1,2,2)),flip(a)]. given #17667 (H,wt=23): 19479 K(x,y \ (z * ((u \ w) * u))) = K(x,K(w,u) * (y \ (z * w))). [hyper(13176,a,19235,a),flip(a)]. given #17668 (H,wt=21): 19480 K(x,y \ (z * ((u \ w) * u))) = K(x,y \ (z * T(w,u))). [hyper(236,a,19232,a(flip),b,19479,a)]. given #17669 (H,wt=21): 19481 K(x,y \ (z * T(u * w,u))) = K(x,y \ (z * (w * u))). [para(13(a,1),19480(a,1,2,2,2,1)),flip(a)]. given #17670 (H,wt=25): 19246 K(x,T(y \ z,K(u,w) \ y)) = K(x,K(w,u) \ ((K(u,w) \ z) / y)). [hyper(236,a,18393,a,b,19219,a(flip)),flip(a)]. given #17671 (H,wt=21): 19482 K(x,T(y \ z,y)) = K(x,K(u,w) \ ((K(w,u) \ z) / y)). [hyper(16991,a,19246,a)]. given #17672 (H,wt=19): 19483 K(x,K(y,z) \ ((K(z,y) \ u) / w)) = K(x,u / w). [hyper(8187,a,19482,a),flip(a)]. given #17673 (H,wt=21): 19484 K(x,K(y,z) \ ((z * u) / w)) = K(x,(T(z,y) * u) / w). [para(4908(a,1),19483(a,1,2,2,1))]. given #17674 (H,wt=21): 19485 K(x,K(y,z) * ((y * u) / w)) = K(x,(T(y,z) * u) / w). [para(5260(a,1),19484(a,1,2))]. given #17675 (H,wt=25): 19250 K(x,K(y,y \ z) * (u \ (z \ w))) = K(x,u \ (((y \ z) * y) \ w)). [para(11060(a,1),19220(a,1,2,2)),flip(a)]. given #17676 (H,wt=23): 19488 K(x,y \ (((z \ u) * z) \ w)) = K(x,K(u,z) * (y \ (u \ w))). [hyper(15683,a,19250,a),flip(a)]. given #17677 (H,wt=21): 19489 K(x,y \ (((z \ u) * z) \ w)) = K(x,y \ (T(u,z) \ w)). [hyper(236,a,19300,a(flip),b,19488,a)]. given #17678 (H,wt=21): 19490 K(x,y \ (T(z * u,z) \ w)) = K(x,y \ ((u * z) \ w)). [para(13(a,1),19489(a,1,2,2,1,1)),flip(a)]. given #17679 (H,wt=25): 19297 K(K(x,y) * (((y * x) \ z) \ u),w) = K((T(y * x,x) \ z) \ u,w). [hyper(16433,a,19243,a)]. given #17680 (H,wt=25): 19317 K(x,K(y,T(z,u)) * ((w / z) \ v5)) = K(x,(w / T(z,T(y,u))) \ v5). [para(7260(a,1),19273(a,1,2,1))]. given #17681 (H,wt=23): 19493 K(x,(y / T(z,T(u,w))) \ v5) = K(x,((y / z) \ v5) * K(u,z)). [hyper(16703,a,19317,a),flip(a)]. given #17682 (H,wt=21): 19495 K(x,(y / T(z,T(u,w))) \ v5) = K(x,(y / T(z,u)) \ v5). [hyper(236,a,19272,a(flip),b,19493,a)]. given #17683 (H,wt=25): 19330 K(T(x \ y,z) * u,T(y \ x,w)) = K((x \ y) * u,T(y \ x,w)). [hyper(236,a,15043,a(flip),b,19328,a(flip))]. given #17684 (H,wt=25): 19350 K(x,L(y,z,u)) * (z * (K(y,T(x,z)) * u)) = z * L(u,K(y,x),z). [para(19348(a,1),15545(a,1,1))]. given #17685 (H,wt=25): 19358 K(x,(y \ (((y \ z) \ z) * u)) / w) = K(x,(w / u) \ K(y,y \ z)). [para(5176(a,2),19357(a,1,2,1))]. given #17686 (H,wt=23): 19498 K(x,(y \ (((y \ z) \ z) * u)) / w) = K(x,(w / u) \ K(y,z)). [hyper(236,a,13093,a(flip),b,19358,a)]. given #17687 (H,wt=23): 19499 K(x,(y \ (((y \ z) \ z) * u)) / w) = K(x,u * (w \ K(y,z))). [hyper(19404,a,19498,a(flip)),flip(a)]. given #17688 (H,wt=21): 19500 K(x,(K(y,y \ z) * u) / w) = K(x,u * (w \ K(y,z))). [para(5176(a,1),19499(a,1,2,1))]. given #17689 (H,wt=21): 19501 K(x,y * (z \ K(u,u \ w))) = K(x,y * (z \ K(u,w))). [hyper(19403,a,19500,a)]. given #17690 (H,wt=23): 19502 K(x,((y * (z / y)) * u) / w) = K(x,(z * u) * (w \ K(y,z))). [para(11107(a,1),19500(a,1,2,1))]. given #17691 (H,wt=23): 19503 K(x,(y \ (z * (u / z))) / w) = K(x,(y \ u) * (w \ K(z,u))). [hyper(236,a,17905,a(flip),b,19501,a(flip)),flip(a)]. given #17692 (H,wt=25): 19359 K(x,((y / (y / z)) * (z \ u)) / w) = K(x,(w / u) \ K(z \ y,z)). [para(5526(a,2),19357(a,1,2,1))]. given #17693 (H,wt=23): 19504 K(x,((y / (y / z)) * (z \ u)) / w) = K(x,(w / u) \ K(y,z)). [hyper(236,a,13085,a(flip),b,19359,a)]. given #17694 (H,wt=23): 19505 K(x,((y / (y / z)) * (z \ u)) / w) = K(x,u * (w \ K(y,z))). [hyper(19404,a,19504,a(flip)),flip(a)]. given #17695 (H,wt=21): 19506 K(x,(K(y \ z,y) * u) / w) = K(x,u * (w \ K(z,y))). [para(5526(a,1),19505(a,1,2,1))]. given #17696 (H,wt=21): 19507 K(x,y * (z \ K(u \ w,u))) = K(x,y * (z \ K(w,u))). [hyper(19403,a,19506,a)]. given #17697 (H,wt=19): 19508 K(x,y / (z * (u / z))) = K(x,y * (u \ K(u,z))). [hyper(14305,a,19507,a)]. given #17698 (H,wt=17): 19510 K(x,y / (z * (u / z))) = K(x,y / T(u,z)). [hyper(236,a,19256,a(flip),b,19508,a)]. given #17699 (H,wt=19): 19512 K(x,y / T(z * u,z)) = K(x,y / (T(z,u) * u)). [para(3875(a,2),19510(a,1,2,2)),flip(a)]. given #17700 (H,wt=20): 19511 K(x,y / (z * (u / z))) != w | K(x,y / T(u,z)) = w. [para(19508(a,2),19260(a,1))]. given #17701 (H,wt=21): 19513 K(x,y / (T(z,u) * u)) = K(x,y / (z * ((z * u) / z))). [hyper(236,a,19510,a,b,19512,a(flip))]. given #17702 (H,wt=22): 19514 K(x,y / (T(z,u) * u)) != w | K(x,y / T(z * u,z)) = w. [para(3875(a,2),19511(a,1,2,2))]. given #17703 (H,wt=25): 19372 K(x * (y \ K(z,L(u,w,v5))),v6) != v7 | K(K(u,z) * (x / y),v6) = v7. [para(19369(a,1),18226(a,1))]. given #17704 (H,wt=25): 19383 K(x / ((y \ (y / z)) * y),u) = K(K(z \ 1,y) * (x / (y / z)),u). [para(5151(a,2),19382(a,1,1,2))]. given #17705 (H,wt=23): 19515 K(K(x \ 1,y) * (z / (y / x)),u) = K(z / T(y / x,y),u). [hyper(17174,a,19383,a),flip(a)]. given #17706 (H,wt=21): 19516 K(K(x \ 1,y) * (z / (y / x)),u) = K(z / (x \ y),u). [hyper(236,a,13389,a(flip),b,19515,a)]. given #17707 (H,wt=19): 19517 K(K(x,y) * (z / (x / y)),u) = K(z / (y \ x),u). [hyper(16383,a,19516,a)]. given #17708 (H,wt=17): 19518 K(x / (y / T(z,y)),u) = K(x / (z \ y),u). [hyper(236,a,19384,a(flip),b,19517,a(flip)),flip(a)]. given #17709 (H,wt=25): 19390 K(x,y * ((z \ u) \ K(w,z))) = v5 / (K(y / (T(z,w) \ u),x) * v5). [para(19385(a,1),5266(a,1,2,1)),flip(a)]. given #17710 (H,wt=21): 19520 K(x,y * ((z \ u) \ K(w,z))) = K(x,y / (T(z,w) \ u)). [hyper(236,a,17975,a(flip),b,19390,a)]. given #17711 (H,wt=21): 19521 K(x,K(y,z) * (u / (z \ w))) = K(x,u / (T(z,y) \ w)). [hyper(19242,a,19520,a)]. given #17712 (H,wt=24): 19522 K(x,y / (T(z,u) \ w)) != v5 | K(x,K(u,z) * (y / (z \ w))) = v5. [para(19520(a,1),19242(a,1))]. given #17713 (H,wt=25): 19401 x / (K(y,L(z,u,u \ 1) \ w) * x) = K(R(z,u,u \ 1) \ w,y). [para(19400(a,1),5266(a,1,2,1))]. given #17714 (H,wt=21): 19523 K(R(x,y,y \ 1) \ z,u) = K(L(x,y,y \ 1) \ z,u). [hyper(17977,a,19401,a),flip(a)]. given #17715 (H,wt=22): 19524 K(((x \ 1) * (x * y)) \ z,u) = K(R(y,x,x \ 1) \ z,u). [hyper(236,a,5930,a,b,19523,a),flip(a)]. given #17716 (H,wt=20): 19525 K(R(x,y,y \ 1) \ (y * x),z) = K(y,T(z,y * x)). [hyper(7822,a,19524,a),flip(a)]. given #17717 (H,wt=18): 19526 K(R(x,y,y \ 1) \ (y * x),z) = K(y,T(z,x)). [hyper(236,a,7366,a(flip),b,19525,a)]. given #17718 (H,wt=25): 19408 K(((x \ 1) * K(y,y \ z)) \ u,w) = K(K(z,y) * ((1 / x) \ u),w). [hyper(236,a,16270,a(flip),b,19167,a)]. given #17719 (H,wt=23): 19528 K(((x \ 1) * K(y,y \ z)) \ u,w) = K(x * (u * K(y,z)),w). [hyper(236,a,19464,a(flip),b,19408,a)]. given #17720 (H,wt=21): 19529 K((x \ K(y,y \ z)) \ u,w) = K(x * (u * K(y,z)),w). [para(14046(a,1),19528(a,1,1,1))]. given #17721 (H,wt=25): 19411 K(x,(y * ((z * u) / z)) \ w) = v5 / (K((y * T(u,z)) \ w,x) * v5). [para(19409(a,1),5266(a,1,2,1)),flip(a)]. given #17722 (H,wt=24): 19530 K(x,(y * ((z * u) / z)) \ w) != v5 | K(x,(y * T(u,z)) \ w) = v5. [para(19411(a,2),5272(a,1))]. given #17723 (H,wt=25): 19421 K(x,K(y,z) \ ((T(z,u) \ w) \ v5)) = K(x,(T(T(z,u),y) \ w) \ v5). [hyper(236,a,17899,a(flip),b,19416,a(flip))]. given #17724 (H,wt=19): 19531 K(x,(T(T(y,z),z) \ u) \ w) = K(x,(y \ u) \ w). [hyper(236,a,19420,a(flip),b,19421,a(flip))]. given #17725 (H,wt=17): 19532 K(x,(y / T(z,y)) \ u) = K(x,(z \ y) \ u). [hyper(236,a,19470,a(flip),b,19531,a(flip)),flip(a)]. given #17726 (H,wt=17): 19533 K(x,(T(y,z) / z) \ u) = K(x,(z \ y) \ u). [para(4115(a,2),19532(a,1,2,1))]. given #17727 (H,wt=21): 19534 K(x,T(y,z \ u) / (z \ u)) = K(x,(T(u,z) / z) \ y). [hyper(236,a,13050,a,b,19533,a),flip(a)]. given #17728 (H,wt=20): 19535 K(x,(T(y,z) / z) \ u) != w | K(x,(z \ y) \ u) = w. [para(19534(a,1),13065(a,1))]. given #17729 (H,wt=25): 19430 K(x,K(y,z)) * K(K(u,z) * (y \ z),x) = K(z * (y \ K(u,z)),x). [para(19426(a,1),16595(a,1,2))]. given #17730 (H,wt=23): 19536 K(x,K(y,z)) * K(y \ T(z,u),x) = K(z * (y \ K(u,z)),x). [para(16268(a,1),19430(a,1,2))]. given #17731 (H,wt=25): 19431 K(K(x,y) * ((z \ 1) \ u),T(w,u)) = K((z * K(y,x)) * T(u,z),w). [hyper(236,a,18220,a,b,19428,a)]. given #17732 (H,wt=25): 19444 K(x,(y \ T(z,T(u * w,v5))) * v6) = K(x,(y \ T(z,w * u)) * v6). [hyper(236,a,19342,a,b,19343,a),flip(a)]. given #17733 (H,wt=25): 19451 K(x * (((y / z) \ 1) \ K(z,u)),w) = K(x * (y / ((u \ z) * u)),w). [hyper(236,a,14900,a(flip),b,19450,a(flip))]. given #17734 (H,wt=23): 19537 K(x * (y / ((z \ u) * z)),w) = K(x * ((y / u) * K(u,z)),w). [hyper(14899,a,19451,a),flip(a)]. given #17735 (H,wt=21): 19538 K(x * (y / ((z \ u) * z)),w) = K(x * (y / T(u,z)),w). [hyper(236,a,18194,a(flip),b,19537,a)]. given #17736 (H,wt=25): 19467 K(x,(y * (z * (u / z))) \ w) = v5 / (K((y * T(u,z)) \ w,x) * v5). [para(19466(a,1),5266(a,1,2,1)),flip(a)]. given #17737 (H,wt=21): 19540 K(x,(y * (z * (u / z))) \ w) = K(x,(y * T(u,z)) \ w). [hyper(236,a,17975,a(flip),b,19467,a)]. given #17738 (H,wt=25): 19475 K(x,y / (z \ (z * (u / T(z,u))))) = K(x,y / ((z * (u / z)) / z)). [para(4144(a,1),19473(a,1,2,2,2))]. given #17739 (H,wt=21): 19542 K(x,y / ((z * (u / z)) / z)) = K(x,y / (u / T(z,u))). [para(13(a,1),19475(a,1,2,2)),flip(a)]. given #17740 (H,wt=19): 19543 K(x,y / T(z / u,u)) = K(x,y / (z / T(u,z))). [hyper(15775,a,19542,a)]. given #17741 (H,wt=17): 19545 K(x,y / (z / T(u,z))) = K(x,y / (u \ z)). [para(121(a,1),19543(a,1,2,2)),flip(a)]. given #17742 (H,wt=25): 19486 K(x,K(y,z) * (((z * y) * u) / w)) = K(x,(T(z * y,z) * u) / w). [hyper(13075,a,19485,a)]. given #17743 (H,wt=25): 19492 T(x,K(y,z \ (T(u * w,u) \ v5))) = T(x,K(y,((w * u) \ v5) \ z)). [para(19490(a,2),9297(a,1,2))]. given #17744 (H,wt=23): 19546 T(x,K(y,((z * u) \ w) \ v5)) = T(x,K(y,v5 \ ((u * z) \ w))). [hyper(236,a,18816,a(flip),b,19492,a(flip))]. given #17745 (H,wt=23): 19547 T(x,K(y,z \ ((u * w) \ v5))) = T(x,K(y,v5 \ ((w * u) * z))). [hyper(18271,a,19546,a),flip(a)]. given #17746 (H,wt=25): 19509 K(x,y * (((z / u) \ w) \ K(z,u))) = K(x,y * (((u \ z) \ w) \ 1)). [para(14528(a,1),19507(a,1,2,2)),flip(a)]. given #17747 (H,wt=25): 19539 K(x * (T(y,T(z,u)) / T(z,u)),w) = K(x * (((u \ z) * u) \ y),w). [hyper(13219,a,19538,a),flip(a)]. given #17748 (H,wt=21): 19550 K(x * (((y \ z) * y) \ u),w) = K(x * (T(z,y) \ u),w). [hyper(13215,a,19539,a),flip(a)]. given #17749 (H,wt=21): 19551 K(x * (T(y,z) \ u),z \ y) = K(x * (y \ u),z \ y). [hyper(236,a,11103,a(flip),b,19550,a(flip))]. given #17750 (H,wt=21): 19552 K(x * (T(y * z,y) \ u),w) = K(x * ((z * y) \ u),w). [para(13(a,1),19550(a,1,1,2,1,1)),flip(a)]. given #17751 (H,wt=23): 19555 K(x * (T(y * z,y) \ u),T(w,x)) = K(((z * y) \ u) * x,w). [hyper(236,a,13397,a(flip),b,19552,a)]. given #17752 (H,wt=21): 19556 K((T(x * y,x) \ z) * u,w) = K(((y * x) \ z) * u,w). [hyper(13398,a,19555,a)]. given #17753 (H,wt=21): 19557 K((((x \ y) * x) \ z) * u,w) = K((T(y,x) \ z) * u,w). [para(14(a,1),19556(a,1,1,1,1,1)),flip(a)]. given #17754 (H,wt=23): 19559 K(((x \ y) * T(x,z)) \ u,w) = K((T(y,x) \ u) * K(z,x),w). [hyper(236,a,19168,a(flip),b,19557,a(flip)),flip(a)]. given #17755 (H,wt=25): 19554 K(x \ y,z * (T(y,x) \ u)) = w / (K(z * (y \ u),x \ y) * w). [para(19551(a,1),5266(a,1,2,1)),flip(a)]. given #17756 (H,wt=21): 19560 K(x \ y,z * (T(y,x) \ u)) = K(x \ y,z * (y \ u)). [hyper(236,a,17975,a(flip),b,19554,a)]. given #17757 (H,wt=25): 19558 K(x,(T(y * z,y) \ u) * w) = v5 / (K(((z * y) \ u) * w,x) * v5). [para(19556(a,1),5266(a,1,2,1)),flip(a)]. given #17758 (H,wt=21): 19561 K(x,(T(y * z,y) \ u) * w) = K(x,((z * y) \ u) * w). [hyper(236,a,17975,a(flip),b,19558,a)]. given #17759 (H,wt=24): 19562 K(x,(T(y * z,y) \ u) * w) != v5 | K(x,((z * y) \ u) * w) = v5. [para(19558(a,2),5272(a,1))]. given #17760 (H,wt=26): 19251 K(x,K(y,L(z,u,w)) * (v5 \ (u * w))) = K(x,v5 \ ((K(y,z) * u) * w)). [para(15367(a,1),19220(a,1,2,2)),flip(a)]. given #17761 (H,wt=23): 19564 K(x,y \ ((K(z,u) * w) * v5)) = K(x,K(z,u) * (y \ (w * v5))). [hyper(18107,a,19251,a),flip(a)]. given #17762 (H,wt=23): 19566 K(x,y \ ((z * K(u,w)) * v5)) = K(x,K(u,w) * (y \ (z * v5))). [hyper(236,a,17951,a(flip),b,19564,a(flip)),flip(a)]. given #17763 (H,wt=25): 19567 K(x,K(y,z) * ((u \ 1) \ (w * v5))) = K(x,u * ((w * K(y,z)) * v5)). [hyper(14234,a,19566,a),flip(a)]. given #17764 (H,wt=23): 19568 K(x,y * ((z * K(u,w)) * v5)) = K(x,y * ((z * v5) * K(u,w))). [hyper(19236,a,19567,a),flip(a)]. given #17765 (H,wt=23): 19569 K(x,y * ((z * K(u,w)) * v5)) = K(x,y * (z * (v5 * K(u,w)))). [hyper(236,a,18118,a(flip),b,19568,a)]. given #17766 (H,wt=25): 19570 K(x,y * (z * (T(u,z) * K(w,v5)))) = K(x,y * (u * (K(w,v5) * z))). [hyper(236,a,16834,a(flip),b,19569,a(flip))]. given #17767 (H,wt=23): 19572 K(x,y * ((K(z,u) * w) * v5)) = K(x,y * (w * (K(z,u) * v5))). [hyper(236,a,18738,a(flip),b,19570,a(flip)),flip(a)]. given #17768 (H,wt=25): 19571 K(x,y * (z * (u * K(w,w \ z)))) = K(x,y * ((w * (z / w)) * u)). [para(5079(a,1),19569(a,1,2,2,1)),flip(a)]. given #17769 (H,wt=23): 19574 K(x,y * ((z * (u / z)) * w)) = K(x,y * (u * (w * K(u,z)))). [hyper(236,a,18444,a(flip),b,19571,a(flip))]. given #17770 (H,wt=21): 19575 K(x,y * ((z * (u / z)) * w)) = K(x,y * (T(u,z) * w)). [hyper(236,a,16644,a(flip),b,19574,a)]. given #17771 (H,wt=26): 19365 K(K(x,L(y,z,u)) * (w \ (z * u)),v5) = K(w \ ((K(x,y) * z) * u),v5). [para(15367(a,1),19360(a,1,1,2)),flip(a)]. given #17772 (H,wt=23): 19576 K(x \ ((K(y,z) * u) * w),v5) = K(K(y,z) * (x \ (u * w)),v5). [hyper(18110,a,19365,a),flip(a)]. given #17773 (H,wt=26): 19405 K(x,(y * (K(z,y) * u)) / w) != v5 | K(x,(y * u) * (w \ K(z,y))) = v5. [para(5363(a,1),19403(a,1,2,1))]. given #17774 (H,wt=26): 19463 K(x * ((y * z) \ K(u,L(w,z,y))),v5) = K(x / (y * (z * K(w,u))),v5). [hyper(236,a,17737,a(flip),b,19462,a(flip))]. given #17775 (H,wt=23): 19579 K(x / (y * (z * K(u,w))),v5) = K(K(u,w) * (x / (y * z)),v5). [hyper(19372,a,19463,a),flip(a)]. given #17776 (H,wt=23): 19580 K(x / (y * (K(z,u) * w)),v5) = K(K(z,u) * (x / (y * w)),v5). [hyper(236,a,18684,a,b,19579,a(flip)),flip(a)]. given #17777 (H,wt=25): 19583 K(K(x,y) * (z / (u * w)),T(v5,z)) = K((u * (K(x,y) * w)) \ z,v5). [hyper(7298,a,19580,a),flip(a)]. given #17778 (H,wt=23): 19584 K((x * (K(y,z) * u)) \ w,v5) = K(K(z,y) * ((x * u) \ w),v5). [hyper(19433,a,19583,a),flip(a)]. given #17779 (H,wt=25): 19586 K(K(x,y) * ((z * (u \ 1)) \ w),v5) = K((z * (K(y,x) / u)) \ w,v5). [hyper(236,a,14507,a(flip),b,19584,a(flip))]. given #17780 (H,wt=26): 19549 K(x,y * (((z / u) \ w) \ K(z,u))) != v5 | K(x,y / ((u \ z) \ w)) = v5. [para(19509(a,2),14282(a,1))]. given #17781 (H,wt=26): 19585 K((x * (K(y,z) * u)) \ w,v5) != v6 | K(K(z,y) * ((x * u) \ w),v5) = v6. [para(19583(a,1),19433(a,1))]. given #17782 (H,wt=27): 19298 K(K(T(x,y),z) * ((T(x,y) / u) \ w),v5) = K((T(T(x,z),y) / u) \ w,v5). [para(38(a,1),19244(a,2,1,1,1))]. given #17783 (H,wt=27): 19314 K(x,T(x * (x \ (y * z)),x / z)) = K(x,(((x / z) \ y) * (x / z)) * z). [para(1417(a,2),19313(a,2,2))]. given #17784 (H,wt=23): 19588 K(x,(((x / y) \ z) * (x / y)) * y) = K(x,T(z * y,x / y)). [para(14(a,1),19314(a,1,2,1)),flip(a)]. given #17785 (H,wt=21): 19589 K(x,(((x / y) \ z) * (x / y)) * y) = K(x,T(z * y,y)). [hyper(236,a,9352,a(flip),b,19588,a)]. given #17786 (H,wt=19): 19591 K(x,(((x / y) \ z) * (x / y)) * y) = K(x,y * z). [hyper(236,a,13033,a(flip),b,19589,a)]. given #17787 (H,wt=15): 19592 K(x,T(y,x / z) * z) = K(x,z * y). [hyper(16570,a,19591,a)]. given #17788 (H,wt=27): 19315 K(K(x \ 1,y * x) * ((z * y) \ u),w) = K((z * T(y,x \ 1)) \ u,w). [hyper(236,a,13427,a,b,19268,a(flip)),flip(a)]. given #17789 (H,wt=25): 19594 K(K(x * y,y) * ((z * x) \ u),w) = K((z * T(x,y \ 1)) \ u,w). [hyper(16383,a,19315,a)]. given #17790 (H,wt=25): 19595 K(K(x * y,x) * ((z * y) \ u),w) = K((z * T(y,x \ 1)) \ u,w). [para(5559(a,1),19594(a,1,1,1))]. given #17791 (H,wt=23): 19596 K((x * T(y,z \ 1)) \ u,w) = K(K(z,y) * ((x * y) \ u),w). [hyper(16384,a,19595,a),flip(a)]. given #17792 (H,wt=21): 19597 K((x * T(y,z \ 1)) \ u,w) = K((x * T(y,z)) \ u,w). [hyper(236,a,19268,a(flip),b,19596,a)]. given #17793 (H,wt=27): 19363 K(K(x,T(y,z * u)) * ((z \ 1) \ u),w) = K((u * K(x,y)) * T(z,u),w). [hyper(236,a,15459,a(flip),b,19360,a(flip))]. given #17794 (H,wt=23): 19598 K(((x \ 1) \ y) * K(z,u),w) = K((y * K(z,u)) * T(x,y),w). [para(14241(a,1),19363(a,1,1))]. given #17795 (H,wt=21): 19599 K(((x \ 1) \ y) * K(z,u),w) = K((x * K(z,u)) * y,w). [hyper(236,a,18262,a(flip),b,19598,a)]. given #17796 (H,wt=19): 19601 K((x \ K(y,z)) \ u,w) = K((x * K(z,y)) * u,w). [hyper(236,a,19170,a(flip),b,19599,a(flip)),flip(a)]. given #17797 (H,wt=19): 19603 K((x \ K(y,z)) \ u,w) = K(x * (u * K(y,z)),w). [hyper(236,a,18257,a(flip),b,19601,a)]. given #17798 (H,wt=21): 19605 K(x * (y * K(z,z \ u)),w) = K(x * (y * K(z,u)),w). [hyper(236,a,19529,a(flip),b,19603,a(flip))]. given #17799 (H,wt=22): 19604 K((x \ K(y,z)) \ u,w) != v5 | K(x * (u * K(y,z)),w) = v5. [para(19601(a,2),18353(a,1))]. given #17800 (H,wt=24): 19600 K(((x \ 1) \ y) * K(z,u),w) != v5 | K((x * K(z,u)) * y,w) = v5. [para(19598(a,2),18286(a,1))]. given #17801 (H,wt=27): 19435 K(x,K(y,T(T(z,u),w)) * ((v5 \ z) \ v6)) = K(x,(v5 \ T(z,T(y,w))) \ v6). [para(7260(a,1),19275(a,1,2,1))]. given #17802 (H,wt=25): 19607 K(x,(y \ T(z,T(u,w))) \ v5) = K(x,((y \ z) \ v5) * K(u,T(z,v6))). [hyper(16703,a,19435,a),flip(a)]. given #17803 (H,wt=23): 19609 K(x,(y \ T(z,T(u,w))) \ v5) = K(x,((y \ z) \ v5) * K(u,z)). [hyper(236,a,16636,a(flip),b,19607,a)]. given #17804 (H,wt=21): 19610 K(x,(y \ T(z,T(u,w))) \ v5) = K(x,(y \ T(z,u)) \ v5). [hyper(236,a,19274,a(flip),b,19609,a)]. given #17805 (H,wt=27): 19440 T(x,y * (((R(z,u,z) \ w) * z) \ z)) = T(x,y * (z / (a(z,u,z) \ w))). [para(12348(a,1),19439(a,1,2,2,2)),flip(a)]. given #17806 (H,wt=27): 19459 K(x,K(y \ T(z,u),y) \ T(w / z,v5)) = K(x,T(w / ((y \ z) * y),v5)). [hyper(236,a,18964,a(flip),b,19458,a)]. given #17807 (H,wt=27): 19476 K(x,y / (T(z,T(u,w)) \ T(v5,T(z,u)))) = K(x,y / (v5 / T(z,T(u,w)))). [para(16137(a,1),19473(a,1,2,2,2))]. given #17808 (H,wt=25): 19615 K(x,y / (T(z,u) \ T(w,T(z,u)))) = K(x,y / (w / T(z,T(u,v5)))). [hyper(18311,a,19476,a)]. given #17809 (H,wt=21): 19616 K(x,y / (z / T(u,T(w,v5)))) = K(x,y / (z / T(u,w))). [hyper(19474,a,19615,a),flip(a)]. given #17810 (H,wt=25): 19617 K(x / (y / T(z,T(u,w))),v5) = v6 / (K(v5,x / (y / T(z,u))) * v6). [para(19616(a,1),5266(a,1,2,1)),flip(a)]. given #17811 (H,wt=21): 19618 K(x / (y / T(z,T(u,w))),v5) = K(x / (y / T(z,u)),v5). [hyper(236,a,17975,a(flip),b,19617,a)]. given #17812 (H,wt=24): 19619 K(x / (y / T(z,T(u,w))),v5) != v6 | K(x / (y / T(z,u)),v5) = v6. [para(19617(a,2),5272(a,1))]. given #17813 (H,wt=27): 19553 T(x,y * (((z \ u) * z) \ w)) = (x * v5) / (K(y * (T(u,z) \ w),x) * v5). [para(19550(a,1),5354(a,1,2,1)),flip(a)]. given #17814 (H,wt=24): 19620 T(x,y * (((z \ u) * z) \ w)) != v5 | T(x,y * (T(u,z) \ w)) = v5. [para(19553(a,2),5356(a,1))]. given #17815 (H,wt=27): 19581 K(K(x,y) * (z / (u * w)),T(v5,u * w)) = K((u * (w * K(x,y))) \ z,v5). [hyper(236,a,17203,a(flip),b,19579,a(flip))]. given #17816 (H,wt=27): 19582 x / (K(K(y,z) * (u / (w * v5)),v6) * x) = K(v6,u / (w * (v5 * K(y,z)))). [para(19579(a,1),5266(a,1,2,1))]. given #17817 (H,wt=23): 19621 K(x,y / (z * (u * K(w,v5)))) = K(x,K(w,v5) * (y / (z * u))). [hyper(17977,a,19582,a),flip(a)]. given #17818 (H,wt=23): 19622 K(x,y / (z * ((u * w) / u))) = K(x,K(u,w) * (y / (z * w))). [para(4854(a,2),19621(a,1,2,2,2))]. given #17819 (H,wt=21): 19623 K(x,y / (z * ((u * w) / u))) = K(x,y / (z * T(w,u))). [hyper(236,a,19257,a(flip),b,19622,a)]. given #17820 (H,wt=19): 19624 K(x,y / (T(z,u) * u)) = K(x,y / (z * T(u,z))). [hyper(236,a,19513,a,b,19623,a(flip)),flip(a)]. given #17821 (H,wt=17): 19625 K(x,y / (T(z,u) * u)) = K(x,y / (u * z)). [para(119(a,1),19624(a,2,2,2))]. given #17822 (H,wt=17): 19626 K(x,y / T(z * u,z)) = K(x,y / (u * z)). [hyper(19514,a,19625,a)]. given #17823 (H,wt=17): 19627 K(x,y / ((z \ u) * z)) = K(x,y / T(u,z)). [para(14(a,1),19626(a,1,2,2,1)),flip(a)]. given #17824 (H,wt=27): 19587 K(K(x,T(y,z)) * ((T(x,z) / u) \ w),v5) = K((T(T(x,y),z) / u) \ w,v5). [para(7260(a,1),19298(a,1,1,1))]. given #17825 (H,wt=25): 19628 K(K(x,y) * ((T(x,z) / u) \ w),v5) = K((T(T(x,y),z) / u) \ w,v5). [hyper(16683,a,19587,a)]. given #17826 (H,wt=27): 19602 K((x * K(y,z)) * T(u,x),w) = K((u * (((x \ 1) \ u) / u)) * K(y,z),w). [para(3786(a,1),19599(a,1,1,1)),flip(a)]. given #17827 (H,wt=27): 19611 K(x,(y \ T(z,z \ T(u,w))) \ v5) = K(x,((y \ z) \ v5) * K(z \ u,z)). [para(11199(a,2),19609(a,1,2,1,2))]. given #17828 (H,wt=25): 19631 K(x,(y \ T(z,z \ T(u,w))) \ v5) = K(x,((y \ z) \ v5) * K(u,z)). [hyper(236,a,13079,a(flip),b,19611,a)]. given #17829 (H,wt=23): 19632 K(x,(y \ T(z,z \ T(u,w))) \ v5) = K(x,(y \ T(z,u)) \ v5). [hyper(236,a,19274,a(flip),b,19631,a)]. given #17830 (H,wt=21): 19633 K(x,(y \ T(z / u,z)) \ w) = K(x,(y \ (u \ z)) \ w). [para(6559(a,1),19632(a,1,2,1,2)),flip(a)]. given #17831 (H,wt=27): 19613 T(x,y * (((R(z,u,z) \ w) * z) \ z)) = T(x,y * (a(z,u,z) * (z / w))). [para(12963(a,1),19440(a,2,2,2))]. given #17832 (H,wt=22): 19635 T(x,y * (((R(z,u,z) \ w) * z) \ z)) = T(x,y * (z / w)). [hyper(236,a,12996,a(flip),b,19613,a)]. given #17833 (H,wt=22): 19637 T(x,y * (((z \ u) * L(z,w,z)) \ z)) = T(x,y * (z / u)). [para(13170(a,1),19635(a,1,2,2,1))]. given #17834 (H,wt=22): 19638 T(x,y * (((z \ u) * z) \ R(z,w,z))) = T(x,y * (z / u)). [para(12834(a,1),19637(a,1,2,2))]. given #17835 (H,wt=20): 19639 T(x,y * (T(z,u) \ R(u,w,u))) = T(x,y * (u / z)). [hyper(19620,a,19638,a)]. given #17836 (H,wt=17): 19640 T(x,y * (T(z,u) \ u)) = T(x,y * (u / z)). [para(338(a,1),19639(a,1,2,2,2))]. given #17837 (H,wt=19): 19641 T(x,(1 / y) \ (z / u)) = T(x,y * (T(u,z) \ z)). [hyper(236,a,14237,a,b,19640,a),flip(a)]. given #17838 (H,wt=23): 19642 T(x,y * (T(z,u) \ R(u,w,u))) = T(x,y * (R(u,w,u) / z)). [para(8309(a,1),19640(a,1,2,2,1))]. given #17839 (H,wt=18): 19644 T(x,y * (R(z,u,z) / w)) = T(x,y * (z / w)). [hyper(236,a,19639,a(flip),b,19642,a(flip))]. given #17840 (H,wt=21): 19646 T(x,y * (((z \ u) \ u) / w)) = T(x,y * (T(z,u) / w)). [para(8385(a,1),19644(a,1,2,2,1))]. given #17841 (H,wt=26): 19643 T(x,y * (L(z,u,K(w,v5)) \ a(v5,u,w))) = T(x,y * (a(v5,u,w) / z)). [para(14670(a,2),19640(a,1,2,2,1))]. given #17842 (H,wt=21): 19648 T(x,y * (a(z,u,w) / v5)) = T(x,y * (v5 \ a(z,u,w))). [hyper(236,a,18117,a(flip),b,19643,a(flip))]. given #17843 (H,wt=27): 19614 K(x,K(y \ z,T(y,u)) \ T(w / z,v5)) = K(x,T(w / ((y \ z) * y),v5)). [para(15716(a,1),19459(a,1,2,1))]. given #17844 (H,wt=25): 19650 K(x,K(y,y \ z) \ T(u / z,w)) = K(x,T(u / ((y \ z) * y),w)). [hyper(16755,a,19614,a)]. given #17845 (H,wt=23): 19651 K(x,T(y / ((z \ u) * z),w)) = K(x,K(u,z) \ T(y / u,w)). [hyper(236,a,15686,a(flip),b,19650,a(flip))]. given #17846 (H,wt=21): 19652 K(x,T(y / ((z \ u) * z),w)) = K(x,T(y / T(u,z),w)). [hyper(236,a,18623,a(flip),b,19651,a)]. given #17847 (H,wt=19): 19653 K(x,T(y / T(z,u),u \ z)) = K(x,z \ T(y,u)). [hyper(16434,a,19652,a),flip(a)]. given #17848 (H,wt=19): 19654 K(x,T(y / T(z,u),u * z)) = K(x,z \ T(y,u)). [hyper(16373,a,19653,a)]. given #17849 (H,wt=19): 19655 K(x \ y,z / T(y,x)) = K(x \ y,y \ T(z,x)). [hyper(5001,a,19653,a)]. given #17850 (H,wt=23): 19656 K(x,T(y / T(z \ 1,u),u * (z \ 1))) = K(x,z * T(y,u)). [hyper(236,a,14051,a(flip),b,19654,a)]. given #17851 (H,wt=21): 19658 K(x,T(y / T(z \ 1,u),u / z)) = K(x,z * T(y,u)). [hyper(16370,a,19656,a)]. given #17852 (H,wt=21): 19659 K(x,T(y / T(z \ 1,u),z * u)) = K(x,z * T(y,u)). [hyper(16385,a,19658,a)]. given #17853 (H,wt=19): 19660 K(x,T(y * T(z,u),z * u)) = K(x,z * T(y,u)). [hyper(16545,a,19659,a)]. given #17854 (H,wt=20): 19661 K(x,(y * z) * R(u,z,y)) = K(x,y * T(u * z,z)). [hyper(13104,a,19660,a)]. given #17855 (H,wt=18): 19662 K(x,(y * z) * R(u,z,y)) = K(x,y * (z * u)). [hyper(236,a,18560,a(flip),b,19661,a)]. given #17856 (H,wt=20): 19663 K(x,y * R(z,u,y / u)) = K(x,(y / u) * (u * z)). [para(16(a,1),19662(a,1,2,1))]. given #17857 (H,wt=20): 19664 K(x,y * R(z,u,u \ y)) = K(x,(y / u) * (u * z)). [para(10679(a,1),19663(a,1,2,2))]. given #17858 (H,wt=23): 19657 K(x / y,(y \ T(x,y)) \ z) = K(y \ x,x \ T(y * z,y)). [hyper(236,a,16486,a,b,19655,a(flip)),flip(a)]. given #17859 (H,wt=21): 19666 K(x / y,(y \ T(x,y)) \ z) = K(y \ x,x \ (z * y)). [hyper(236,a,13092,a(flip),b,19657,a)]. given #17860 (H,wt=19): 19667 K(x / y,(x / y) \ z) = K(y \ x,x \ (z * y)). [hyper(236,a,19472,a(flip),b,19666,a(flip)),flip(a)]. given #17861 (H,wt=21): 19669 x * K(y \ z,z \ (x * y)) = (z / y) * (x / (z / y)). [para(19667(a,1),5079(a,1,2))]. given #17862 (H,wt=23): 19665 K(x,((y / z) * u) * (u \ z)) = K(x,(z / u) * (u * (z \ y))). [para(808(a,1),19664(a,1,2))]. given #17863 (H,wt=24): 19670 x * K(y \ z,z \ (x * y)) != u | (z / y) * (x / (z / y)) = u. [para(19667(a,1),5323(a,1,2))]. given #17864 (H,wt=25): 19668 (x \ T(y,x)) * (z / (x \ T(y,x))) = z * K(x \ y,y \ (z * x)). [para(19666(a,1),13432(a,2,2))]. given #17865 (H,wt=23): 19672 (x \ T(y,x)) * (z / (x \ T(y,x))) = (y / x) * (z / (y / x)). [hyper(236,a,19669,a(flip),b,19668,a)]. given #17866 (H,wt=26): 19673 (x \ T(y,x)) * (z / (x \ T(y,x))) != u | (y / x) * (z / (y / x)) = u. [para(19668(a,2),19670(a,1))]. given #17867 (H,wt=27): 19629 K(K(x,y) * ((T(x,z) / u) \ w),T(v5,w)) = K(w / (T(T(x,y),z) / u),v5). [hyper(236,a,8052,a(flip),b,19628,a)]. given #17868 (H,wt=25): 19674 K(x * ((T(y,z) / u) \ K(y,w)),v5) = K(x / (T(T(y,w),z) / u),v5). [hyper(19429,a,19629,a)]. given #17869 (H,wt=27): 19671 K(x,((y \ z) / u) * (u * ((y \ z) \ z))) = K(x,(y * u) * (u \ (y \ z))). [para(62(a,1),19665(a,1,2,1,1)),flip(a)]. given #17870 (H,wt=25): 19675 K(x,((y \ z) / u) * (u * T(y,z))) = K(x,(y * u) * (u \ (y \ z))). [hyper(236,a,13155,a(flip),b,19671,a(flip)),flip(a)]. given #17871 (H,wt=28): 19309 K(x,T(L(y,z \ 1,z) / z,z) \ u) = K(x,((z * (y / z)) * (z \ 1)) \ u). [hyper(13224,a,19308,a),flip(a)]. given #17872 (H,wt=26): 19677 K(x,((y * (z / y)) * (y \ 1)) \ u) = K(x,(y \ L(z,y \ 1,y)) \ u). [para(121(a,1),19309(a,1,2,1)),flip(a)]. given #17873 (H,wt=23): 19678 K(x,((y * (z / y)) * (y \ 1)) \ u) = K(x,((y \ 1) * z) \ u). [para(392(a,1),19677(a,2,2,1))]. given #17874 (H,wt=28): 19487 K(x,(T(y * z,z) * u) / w) != v5 | K(x,K(z,y) * (((y * z) * u) / w)) = v5. [para(19485(a,1),16744(a,1))]. given #17875 (H,wt=29): 19333 K(x,K(K(y,z),u) * ((T(z,y) \ w) \ v5)) = K(x,(T(K(y,z),u) * (z \ w)) \ v5). [para(5204(a,1),19281(a,1,2,2,1))]. given #17876 (H,wt=29): 19368 K((x / y) * K(T(z,u),w),T(v5,K(z,w) * y)) = K((K(w,T(z,u)) * y) \ x,v5). [hyper(19165,a,16718,a)]. given #17877 (H,wt=29): 19414 T(T(x,(T(y,z) * z) \ u),K((z * y) \ u,w)) = T(x,T((T(y,z) * z) \ u,w)). [para(19413(a,1),7135(a,1,2))]. given #17878 (H,wt=27): 19681 T(T(x,(y * z) \ u),K((y * z) \ u,w)) = T(x,T((T(z,y) * y) \ u,w)). [para(15738(a,1),19414(a,1,1))]. given #17879 (H,wt=21): 19682 T(x,T((T(y,z) * z) \ u,w)) = T(x,T((z * y) \ u,w)). [hyper(7185,a,19681,a),flip(a)]. given #17880 (H,wt=21): 19683 T(x,T((y * z) \ u,y * z)) = T(x,u / (T(z,y) * y)). [hyper(13116,a,19682,a),flip(a)]. given #17881 (H,wt=20): 19684 T(x,y / (T(z,u) * u)) != w | T(x,y / (u * z)) = w. [para(19683(a,1),8243(a,1))]. given #17882 (H,wt=17): 19685 T(x,y / T(z * u,z)) = T(x,y / (u * z)). [hyper(19684,a,15885,a(flip)),flip(a)]. given #17883 (H,wt=29): 19491 K(x * (y * (x \ 1)),z \ ((u * w) \ v5)) = K(y,T(z \ (T(w * u,w) \ v5),x)). [hyper(14625,a,19490,a),flip(a)]. given #17884 (H,wt=28): 19687 K(x,T(y \ (T(z * u,z) \ w),v5)) != v6 | K(x,T(y \ ((u * z) \ w),v5)) = v6. [para(19491(a,1),14625(a,1))]. given #17885 (H,wt=29): 19563 K(x,(((y * K(z * y,u)) * z) \ w) * v5) = K(x,(T(T(z * y,u),z) \ w) * v5). [para(14118(a,1),19561(a,1,2,1,1,1)),flip(a)]. given #17886 (H,wt=25): 19688 K(x,(T(T(y * z,y),y) \ u) * w) = K(x,(T(z * y,y) \ u) * w). [para(7722(a,1),19563(a,1,2,1,1)),flip(a)]. given #17887 (H,wt=29): 19573 K(x,y * ((z / u) * (K(w,K(v5,u)) * v6))) = K(x,y * ((z / T(u,K(w,v5))) * v6)). [para(16120(a,1),19572(a,1,2,2,1)),flip(a)]. given #17888 (H,wt=26): 19689 K(x,y * ((z / T(u,K(w,v5))) * v6)) != v7 | K(x,y * ((z / u) * v6)) = v7. [para(19573(a,1),17894(a,1))]. given #17889 (H,wt=29): 19593 K(x,(y * z) \ T(u,y)) * K(x,K(u,y * z)) = K(x,T((z * y) \ u,y \ u)). [para(19592(a,1),16917(a,1,2,2))]. given #17890 (H,wt=21): 19690 K(x,T((y * z) \ u,z \ u)) = K(x,T(u,z) / (z * y)). [hyper(16549,a,19593,a),flip(a)]. given #17891 (H,wt=27): 19692 K(x,T((y * ((y * z) / y)) \ u,z \ u)) = K(x,T(u,z) / (z * T(y,z))). [para(3875(a,1),19690(a,1,2,1,1))]. given #17892 (H,wt=25): 19694 K(x,T((y * ((y * z) / y)) \ u,z \ u)) = K(x,T(u,z) / (y * z)). [para(119(a,1),19692(a,2,2,2))]. given #17893 (H,wt=29): 19679 K(x,K(y,K(z,u)) * ((T(z,y) \ w) \ v5)) = K(x,(T(K(y,z),u) * (z \ w)) \ v5). [para(7886(a,1),19333(a,1,2,1))]. given #17894 (H,wt=23): 19695 K(x,(T(K(y,z),u) * (z \ w)) \ v5) = K(x,(T(z,y) \ w) \ v5). [hyper(16624,a,19679,a),flip(a)]. given #17895 (H,wt=23): 19697 K(x,(K(y,T(z,u)) * (z \ w)) \ v5) = K(x,(T(z,y) \ w) \ v5). [para(6439(a,1),19695(a,1,2,1,1))]. given #17896 (H,wt=21): 19698 K(x,(T(y,T(z,u)) \ w) \ v5) = K(x,(T(y,z) \ w) \ v5). [para(7325(a,1),19697(a,1,2,1))]. given #17897 (H,wt=29): 19680 K((x / y) * K(z,T(u,w)),T(v5,K(z,u) * y)) = K((K(u,T(z,w)) * y) \ x,v5). [para(7260(a,1),19368(a,1,1,2))]. given #17898 (H,wt=27): 19699 K((K(x,T(y,z)) * u) \ w,v5) = K(K(x,y) * (w / u),T(v5,K(y,x) * u)). [hyper(17264,a,19680,a),flip(a)]. given #17899 (H,wt=27): 19700 K(K(x,y) * (z / u),T(w,K(y,x) * u)) = K((u \ z) * K(T(y,v5),x),w). [hyper(19245,a,19699,a),flip(a)]. given #17900 (H,wt=27): 19702 K(K(x,y) * (z / u),T(w,K(y,x) * u)) = K((u \ z) * K(y,T(x,v5)),w). [para(7260(a,1),19700(a,2,1,2))]. given #17901 (H,wt=25): 19703 K(K(x,y) * (z / u),T(w,K(y,x) * u)) = K(K(x,y) * (u \ z),w). [hyper(236,a,17260,a(flip),b,19702,a)]. given #17902 (H,wt=21): 19704 K(K(x,y) * (z / u),T(w,u)) = K(K(x,y) * (u \ z),w). [hyper(16989,a,19703,a)]. given #17903 (H,wt=23): 19706 K((x * (y * K(z,u))) \ w,v5) = K(K(z,u) * ((x * y) \ w),v5). [hyper(236,a,19581,a(flip),b,19704,a(flip)),flip(a)]. given #17904 (H,wt=25): 19709 K(K(x,y) * ((z * (u * x)) \ w),v5) = K((z * (u * T(x,y))) \ w,v5). [para(6201(a,1),19706(a,1,1,1,2)),flip(a)]. given #17905 (H,wt=25): 19710 K(K(x,y) * ((z * (u \ 1)) \ w),v5) = K((z * (u \ K(x,y))) \ w,v5). [para(14046(a,1),19706(a,1,1,1,2)),flip(a)]. given #17906 (H,wt=23): 19712 K((x * (K(y,z) / u)) \ w,v5) = K((x * (u \ K(z,y))) \ w,v5). [hyper(236,a,19586,a(flip),b,19710,a(flip)),flip(a)]. given #17907 (H,wt=27): 19707 x / (K(K(y,z) * ((u * w) \ v5),v6) * x) = K(v6,(u * (w * K(y,z))) \ v5). [para(19706(a,1),5266(a,1,2,1))]. given #17908 (H,wt=23): 19714 K(x,(y * (z * K(u,w))) \ v5) = K(x,K(u,w) * ((y * z) \ v5)). [hyper(17977,a,19707,a),flip(a)]. given #17909 (H,wt=29): 19708 (x * y) / (K(K(z,u) * ((w * v5) \ v6),x) * y) = T(x,(w * (v5 * K(z,u))) \ v6). [para(19706(a,1),5354(a,1,2,1))]. given #17910 (H,wt=23): 19715 T(x,(y * (z * K(u,w))) \ v5) = T(x,K(u,w) * ((y * z) \ v5)). [hyper(5356,a,19708,a),flip(a)]. given #17911 (H,wt=21): 19717 T(x,K(y,z) * ((u * y) \ w)) = T(x,(u * T(y,z)) \ w). [para(4887(a,2),19715(a,1,2,1,2)),flip(a)]. given #17912 (H,wt=25): 19716 T(x,K(y \ z,y) * ((u * z) \ w)) = T(x,(u * ((y \ z) * y)) \ w). [para(249(a,1),19715(a,1,2,1,2)),flip(a)]. given #17913 (H,wt=23): 19718 T(x,(y * ((z \ u) * z)) \ w) = T(x,K(u,z) * ((y * u) \ w)). [hyper(15808,a,19716,a),flip(a)]. given #17914 (H,wt=21): 19719 T(x,(y * ((z \ u) * z)) \ w) = T(x,(y * T(u,z)) \ w). [hyper(236,a,19717,a(flip),b,19718,a)]. given #17915 (H,wt=30): 19190 L(x \ L(x,K(y,z),u),x,T(u * K(y,T(z,w * u)),w)) = a(x,K(y,z),T(u,w)). [para(19176(a,1),18660(a,1,1,2))]. given #17916 (H,wt=26): 19720 L(x \ L(x,K(y,z),u),x,K(y,z) * T(u,w)) = a(x,K(y,z),T(u,w)). [para(18613(a,1),19190(a,1,3))]. given #17917 (H,wt=30): 19265 K(x,y * (((1 / z) \ u) \ K(z * u,w))) != v5 | K(x,y / T((1 / z) \ u,w)) = v5. [para(14110(a,1),19260(a,1,2,2,2))]. given #17918 (H,wt=30): 19527 ((x * y) * K(x,T(z,y))) / R(y,x,x \ 1) = T(((x * y) * (x \ 1)) \ (x * y),z). [para(19526(a,1),6925(a,1,1,2))]. given #17919 (H,wt=30): 19541 K(x,(y * (z * K(u \ 1,u * z))) \ w) = K(x,(y * T(z,L(u \ 1,u,z))) \ w). [para(13366(a,1),19540(a,1,2,1,2))]. given #17920 (H,wt=30): 19686 T(x,y / L(z * (a(u,w,v5) \ 1),w,K(v5,u))) = T(x,y / ((a(u,w,v5) \ 1) * z)). [para(15646(a,1),19685(a,1,2,2))]. given #17921 (H,wt=30): 19722 K(x,y * (((z \ 1) \ u) \ K(z * u,w))) != v5 | K(x,y / T((1 / z) \ u,w)) = v5. [para(5749(a,1),19265(a,1))]. given #17922 (H,wt=30): 19723 (x * (y * K(x,T(z,y)))) / R(y,x,x \ 1) = T(((x * y) * (x \ 1)) \ (x * y),z). [para(8232(a,1),19527(a,1,1))]. given #17923 (H,wt=28): 19725 (x * (K(x,y) * z)) / R(z,x,x \ 1) = T(((x * z) * (x \ 1)) \ (x * z),y). [para(7281(a,1),19723(a,1,1,2))]. given #17924 (H,wt=26): 19726 T(((x * y) * (x \ 1)) \ (x * y),z) = (T(x,z) * y) / R(y,x,x \ 1). [para(4856(a,1),19725(a,1,1)),flip(a)]. given #17925 (H,wt=25): 19727 (T(x,y) * z) / R(z,x,x \ 1) = T((x * z) / R(z,x,x \ 1),y). [para(6923(a,1),19726(a,1,1)),flip(a)]. given #17926 (H,wt=25): 19728 (T(x,y) * z) / R(z,x,x \ 1) = T(z * (R(z,x,x \ 1) \ x),y). [para(18851(a,1),19727(a,2,1))]. given #17927 (H,wt=23): 19729 T(x * (R(x,y,y \ 1) \ y),z) = a(x,y,y \ 1) \ T(y,z). [hyper(18861,a,19728,a),flip(a)]. given #17928 (H,wt=21): 19730 a(x,y,y \ 1) \ T(y,z) = T(a(x,y,y \ 1) \ y,z). [para(18833(a,1),19729(a,1,1)),flip(a)]. given #17929 (H,wt=30): 19724 K(x,K(y \ 1,y * z) * ((u * z) \ w)) = K(x,(u * T(z,L(y \ 1,y,z))) \ w). [hyper(236,a,19714,a(flip),b,19541,a(flip)),flip(a)]. given #17930 (H,wt=28): 19731 K(x,(y * T(z,L(u \ 1,u,z))) \ w) = K(x,((y * z) \ w) * K(u,u * z)). [hyper(16362,a,19724,a),flip(a)]. given #17931 (H,wt=26): 19732 K(x,(y * T(z,L(u \ 1,u,z))) \ w) = K(x,K(u,z) * ((y * z) \ w)). [hyper(236,a,16276,a(flip),b,19731,a)]. given #17932 (H,wt=24): 19733 K(x,(y * T(z,L(u \ 1,u,z))) \ w) = K(x,(y * T(z,u)) \ w). [hyper(236,a,19197,a(flip),b,19732,a)]. given #17933 (H,wt=21): 19734 K(x,(y * T(z,u \ 1)) \ w) = K(x,(y * T(z,u)) \ w). [para(6379(a,1),19733(a,1,2,1,2))]. given #17934 (H,wt=29): 19737 K(x,(y * T(z,u)) \ w) * K(x,K(w,y * z)) = K(x,w / (y * T(z,1 / u))). [para(19734(a,1),17204(a,1,1))]. given #17935 (H,wt=21): 19738 K(x,y / (z * T(u,1 / w))) = K(x,y / (z * T(u,w))). [hyper(236,a,17074,a(flip),b,19737,a(flip))]. given #17936 (H,wt=21): 19739 K(x,y / (z * T(u,w \ 1))) = K(x,y / (z * T(u,w))). [para(62(a,1),19738(a,1,2,2,2,2)),flip(a)]. given #17937 (H,wt=31): 19217 K(x * ((y * K(z,u)) \ w),T(v5,K(u,z) * (y \ w))) = K(((K(z,u) * y) \ w) * x,v5). [para(19187(a,1),18729(a,1,2))]. given #17938 (H,wt=27): 19740 K(x * ((y * K(z,u)) \ w),T(v5,y \ w)) = K(((K(z,u) * y) \ w) * x,v5). [hyper(16989,a,19217,a)]. given #17939 (H,wt=27): 19741 K(x * (y \ (K(z,u) * w)),T(v5,y \ w)) = K(((K(u,z) * y) \ w) * x,v5). [hyper(19075,a,19740,a)]. given #17940 (H,wt=27): 19743 K(x * (K(y,z) * (u \ w)),T(v5,u \ w)) = K(((K(z,y) * u) \ w) * x,v5). [hyper(236,a,19080,a(flip),b,19741,a(flip)),flip(a)]. given #17941 (H,wt=23): 19744 K(((K(x,y) * z) \ u) * w,v5) = K(K(y,x) * ((z \ u) * w),v5). [hyper(18255,a,19743,a),flip(a)]. given #17942 (H,wt=25): 19746 K(K(x,y) * (((z * y) \ u) * w),v5) = K(((z * T(y,x)) \ u) * w,v5). [hyper(236,a,18730,a(flip),b,19744,a(flip))]. given #17943 (H,wt=25): 19747 K(K(x,y) * (((z * x) \ u) * w),v5) = K(((z * T(x,y)) \ u) * w,v5). [hyper(16368,a,19746,a)]. given #17944 (H,wt=29): 19745 K(K(x,x \ y) * (((z * x) \ u) * w),v5) = K(((z * (y / (y / x))) \ u) * w,v5). [hyper(236,a,18731,a(flip),b,19744,a(flip))]. given #17945 (H,wt=27): 19748 K(K(x,y) * (((z * x) \ u) * w),v5) = K(((z * (y / (y / x))) \ u) * w,v5). [hyper(13393,a,19745,a)]. given #17946 (H,wt=25): 19749 K(((x * (y / (y / z))) \ u) * w,v5) = K(((x * T(z,y)) \ u) * w,v5). [hyper(236,a,19747,a(flip),b,19748,a(flip))]. given #17947 (H,wt=31): 19231 K(x,((y * (z / y)) \ u) \ T(w,K(y \ z,y))) = K(x,K(y,y \ z) * ((z \ u) \ w)). [hyper(236,a,17729,a,b,19195,a(flip)),flip(a)]. given #17948 (H,wt=29): 19750 K(x,((y * (z / y)) \ u) \ T(w,K(y \ z,y))) = K(x,K(z,y) * ((z \ u) \ w)). [hyper(236,a,15677,a(flip),b,19231,a)]. given #17949 (H,wt=27): 19751 K(x,((y * (z / y)) \ u) \ T(w,K(y \ z,y))) = K(x,(T(z,y) \ u) \ w). [hyper(236,a,19226,a(flip),b,19750,a)]. given #17950 (H,wt=21): 19752 K(x,((y * (z / y)) \ u) \ w) = K(x,(T(z,y) \ u) \ w). [hyper(16671,a,19751,a)]. given #17951 (H,wt=21): 19755 K(x,(T(y * z,z) \ u) \ w) = K(x,((z * y) \ u) \ w). [para(15(a,1),19752(a,1,2,1,1,2)),flip(a)]. given #17952 (H,wt=19): 19756 K(x,(y / (z * y)) \ u) = K(x,((y * z) \ y) \ u). [hyper(236,a,19470,a(flip),b,19755,a(flip)),flip(a)]. given #17953 (H,wt=28): 19754 K(x,(T(y * z,y) \ u) \ (z \ (T(y,z) \ u))) = a(T(y,z),z,K(x,z \ u)). [hyper(236,a,14896,a(flip),b,19752,a(flip))]. given #17954 (H,wt=30): 19757 K(x,K(y,((z * u) \ z) \ w) * v5) != v6 | K(x,v5 * K((z / (u * z)) \ w,y)) = v6. [para(19756(a,1),16361(a,1,2,1))]. given #17955 (H,wt=31): 19331 K(x,K(T(y / z,u) * w,T(z / y,u)) * v5) = K(x,K(w,T((y / z) \ 1,u)) * v5). [para(19328(a,1),13177(a,1,2,1))]. given #17956 (H,wt=31): 19364 K(K(x,y) * (((y * x) \ z) \ u),w) != v5 | K(((x * y) \ z) \ u,L(w,u,K(x,y))) = v5. [para(19360(a,1),11632(a,1))]. given #17957 (H,wt=26): 19758 K(((x * y) \ z) \ u,L(w,u,K(x,y))) = K((T(y * x,x) \ z) \ u,w). [hyper(19364,a,19297,a)]. given #17958 (H,wt=24): 19759 K((T(x * y,y) \ z) \ u,w) != v5 | K(((y * x) \ z) \ u,w) = v5. [para(19758(a,1),17774(a,1))]. given #17959 (H,wt=19): 19760 K((x / (y * x)) \ z,u) = K(((x * y) \ x) \ z,u). [hyper(19759,a,19387,a),flip(a)]. given #17960 (H,wt=31): 19388 K(x,T((y \ T(z,y)) \ u,w)) = ((w * x) / w) / ((w * (x * K((z / y) \ u,x))) / w). [para(19386(a,1),9124(a,1,2,1,2,2)),flip(a)]. given #17961 (H,wt=21): 19762 K(x,T((y \ T(z,y)) \ u,w)) = K(x,T((z / y) \ u,w)). [hyper(236,a,9124,a(flip),b,19388,a)]. given #17962 (H,wt=21): 19763 K(x,T((T(y,z) \ z) \ u,w)) = K(x,T((z / y) \ u,w)). [para(4117(a,2),19762(a,1,2,1,1))]. given #17963 (H,wt=31): 19447 K(x \ (y * ((z \ 1) * (u / (z \ 1)))),w) = K(K(z \ 1,z * u) * (x \ (y * u)),w). [para(7103(a,2),19366(a,1,1,2,2))]. given #17964 (H,wt=29): 19764 K(x \ (y * ((z \ 1) * (u / (z \ 1)))),w) = K(K(z * u,z) * (x \ (y * u)),w). [hyper(236,a,16342,a(flip),b,19447,a)]. given #17965 (H,wt=27): 19765 K(x \ (y * ((z \ 1) * (u / (z \ 1)))),w) = K(K(z,u) * (x \ (y * u)),w). [hyper(236,a,16301,a(flip),b,19764,a)]. given #17966 (H,wt=25): 19766 K(x \ (y * ((z \ 1) * (u / (z \ 1)))),w) = K(x \ (y * T(u,z)),w). [hyper(236,a,19456,a(flip),b,19765,a)]. given #17967 (H,wt=25): 19767 K(x \ (y * T(z * u,u)),w) = K(x \ (y * (((z * u) \ z) \ z)),w). [hyper(236,a,16529,a,b,19766,a(flip))]. given #17968 (H,wt=23): 19768 K(x \ (y * (((z * u) \ z) \ z)),w) = K(x \ (y * (u * z)),w). [hyper(236,a,16527,a(flip),b,19767,a(flip))]. given #17969 (H,wt=23): 19769 K(x \ ((1 / y) * (y * z)),u) = K(x \ ((z * y) * (1 / y)),u). [para(6402(a,1),19768(a,1,1,2)),flip(a)]. given #17970 (H,wt=22): 19770 K(x \ ((y * z) * (1 / z)),u) = K(x \ L(y,z,z \ 1),u). [para(2923(a,1),19769(a,1,1,2)),flip(a)]. given #17971 (H,wt=22): 19771 K(x \ ((y * z) * (z \ 1)),u) = K(x \ L(y,z,z \ 1),u). [hyper(236,a,5736,a(flip),b,19770,a(flip)),flip(a)]. given #17972 (H,wt=21): 19772 K(x \ R(y,z,z \ 1),u) = K(x \ L(y,z,z \ 1),u). [para(189(a,1),19771(a,1,1,2))]. given #17973 (H,wt=25): 19773 K((1 / x) \ L(y,z,z \ 1),u) = K(R(y,z,z \ 1) * T(x,y),u). [hyper(236,a,15426,a(flip),b,19772,a(flip))]. given #17974 (H,wt=23): 19774 K(R(x,y,y \ 1) * T(z,x),u) = K(z * L(x,y,y \ 1),u). [hyper(14638,a,19773,a),flip(a)]. given #17975 (H,wt=21): 19775 K(x * R(y,z,z \ 1),u) = K(x * L(y,z,z \ 1),u). [para(15400(a,1),19774(a,1,1))]. given #17976 (H,wt=28): 19776 K(a(x,y,y \ 1),T(z,R(x,y,y \ 1))) = K((x \ 1) * L(x,y,y \ 1),z). [hyper(236,a,13413,a,b,19775,a(flip)),flip(a)]. given #17977 (H,wt=26): 19778 K(a(x,y,y \ 1),T(z,R(x,y,y \ 1))) = K(x \ L(x,y,y \ 1),z). [hyper(236,a,14109,a(flip),b,19776,a)]. given #17978 (H,wt=19): 19779 K(x \ L(x,y,y \ 1),z) = a(x,y,K(y \ 1,z)). [hyper(17997,a,19778,a),flip(a)]. given #17979 (H,wt=12): 19780 K(x \ L(x,y,y \ 1),z) = 1. [hyper(236,a,10189,a(flip),b,19779,a)]. given #17980 (H,wt=14): 19782 T(x * 1,y \ L(y,z,z \ 1)) = x. [para(19780(a,1),4853(a,1,1,2))]. given #17981 (H,wt=12): 19783 T(x,y \ L(y,z,z \ 1)) = x. [para(12(a,1),19782(a,1,1))]. given #17982 (H,wt=12): 19784 T(x,a(y \ 1,y,z) \ 1) = x. [hyper(236,a,13739,a,b,19783,a(flip)),flip(a)]. given #17983 (H,wt=19): 19785 x * (a(y \ 1,y,z) \ 1) = a(y \ 1,y,z) \ x. [hyper(18796,a,19784,a)]. given #17984 (H,wt=21): 19786 (a(x \ 1,x,y) \ 1) * z = z * (a(x \ 1,x,y) \ 1). [hyper(2261,a,19784,a),flip(a)]. given #17985 (H,wt=19): 19788 (a(x \ 1,x,y) \ 1) * z = a(x \ 1,x,y) \ z. [hyper(236,a,19785,a(flip),b,19786,a)]. given #17986 (H,wt=19): 19789 (x \ L(x,y,y \ 1)) * z = a(y \ 1,y,x) \ z. [hyper(12614,a,19788,a)]. given #17987 (H,wt=19): 19790 (a(x \ 1,x,y) \ 1) \ z = a(x \ 1,x,y) * z. [hyper(72,a,13,a(flip),b,19788,a)]. given #17988 (H,wt=19): 19792 (x \ L(x,y,y \ 1)) \ z = a(y \ 1,y,x) * z. [hyper(72,a,13,a(flip),b,19789,a)]. given #17989 (H,wt=30): 19791 K((a(x \ 1,x,y) \ 1) / z,L(u,z,w)) = K((a(x \ 1,x,y) \ w) / (z * w),u). [para(19788(a,1),15373(a,1,1,1)),flip(a)]. given #17990 (H,wt=30): 19795 K(a(x \ 1,x,y) \ (z \ 1),L(u,z,w)) = K((a(x \ 1,x,y) \ w) / (z * w),u). [hyper(14292,a,19791,a)]. given #17991 (H,wt=31): 19496 K(T(1 \ (x / y),z) * u,T((x / y) \ 1,w)) = K((1 \ (x / y)) * u,T(y / x,w)). [hyper(236,a,10056,a(flip),b,19330,a)]. given #17992 (H,wt=29): 19796 K(T(x / y,z) * u,T((x / y) \ 1,w)) = K((1 \ (x / y)) * u,T(y / x,w)). [para(50(a,1),19496(a,1,1,1,1))]. given #17993 (H,wt=27): 19797 K(T(x / y,z) * u,T(y / x,w)) = K((1 \ (x / y)) * u,T(y / x,w)). [hyper(10057,a,19796,a)]. given #17994 (H,wt=25): 19798 K(T(x / y,z) * u,T(y / x,w)) = K((x / y) * u,T(y / x,w)). [para(50(a,1),19797(a,2,1,1))]. given #17995 (H,wt=23): 19799 K((x / y) * z,T(y / x,u)) = K((y \ x) * z,T(y / x,u)). [hyper(236,a,13434,a(flip),b,19798,a(flip))]. given #17996 (H,wt=25): 19800 K(T(x / y,z) * u,T(y / x,w)) = K((y \ x) * u,T(y / x,w)). [hyper(236,a,19798,a,b,19799,a(flip)),flip(a)]. given #17997 (H,wt=29): 19801 K(x,K((y \ z) * u,T(y / z,w)) * v5) = K(x,K(u,T((z / y) \ 1,w)) * v5). [para(19800(a,1),19331(a,1,2,1))]. given #17998 (H,wt=27): 19802 K(x,K(y,T((z / u) \ 1,w)) * v5) = K(x,v5 * K((u \ z) * y,u / z)). [hyper(16703,a,19801,a),flip(a)]. given #17999 (H,wt=27): 19805 K(x,K(y,T((z / u) \ 1,w)) * v5) = K(x,v5 * K((u \ z) * y,z \ u)). [hyper(236,a,16704,a(flip),b,19802,a)]. given #18000 (H,wt=25): 19806 K(x,K(y,T(z / u,w)) * v5) = K(x,v5 * K((z \ u) * y,u \ z)). [para(10056(a,1),19805(a,1,2,1))]. given #18001 (H,wt=23): 19807 K(x,y * K((z \ u) * w,u \ z)) = K(x,y * K(w,z / u)). [hyper(16703,a,19806,a),flip(a)]. given #18002 (H,wt=23): 19808 K(x,y * K((z \ u) * w,u \ z)) = K(x,y * K(w,u \ z)). [hyper(236,a,16704,a(flip),b,19807,a)]. given #18003 (H,wt=23): 19809 K(x,K(y \ z,(z \ y) * u) * w) = K(x,w * K(u,y \ z)). [hyper(16281,a,19808,a)]. given #18004 (H,wt=31): 19612 K(x,(y \ T(z,(u \ T(w,v5)) \ w)) \ v6) = K(x,((y \ z) \ v6) * K(K(v5,w) * u,z)). [para(14483(a,2),19609(a,1,2,1,2))]. given #18005 (H,wt=27): 19811 K(x,(y \ T(z,(u \ T(w,v5)) \ w)) \ v6) = K(x,K(u,z) * ((y \ z) \ v6)). [hyper(236,a,17306,a(flip),b,19612,a)]. given #18006 (H,wt=25): 19813 K(x,(y \ T(z,(u \ T(w,v5)) \ w)) \ v6) = K(x,(y \ T(z,u)) \ v6). [hyper(236,a,19200,a(flip),b,19811,a)]. given #18007 (H,wt=25): 19814 K(x,(y \ T(z,T(K(u,w) * v5,w))) \ v6) = K(x,(y \ T(z,v5)) \ v6). [para(14483(a,1),19813(a,1,2,1,2))]. given #18008 (H,wt=23): 19815 K(x,(y \ T(z,K(u,w) * v5)) \ v6) = K(x,(y \ T(z,v5)) \ v6). [hyper(236,a,19610,a(flip),b,19814,a(flip)),flip(a)]. given #18009 (H,wt=31): 19647 K(x,y / T(z \ 1,u * (T(w,v5) / v6))) = K(x,y * T(z,u * (((w \ v5) \ v5) / v6))). [para(19646(a,1),16535(a,1,2,2))]. given #18010 (H,wt=31): 19777 K(x * L(y * K(z,y),u,u \ 1),T(w,y)) = K((K(y,z) / R(y,u,u \ 1)) \ x,w). [hyper(236,a,17342,a(flip),b,19775,a(flip))]. given #18011 (H,wt=27): 19818 K((K(x,y) / R(x,z,z \ 1)) \ u,w) = K(L(T(x,y),z,z \ 1) * u,w). [hyper(236,a,18333,a(flip),b,19777,a(flip))]. given #18012 (H,wt=27): 19819 K(R(x,y,y \ 1) * (z * K(x,u)),w) = K(L(T(x,u),y,y \ 1) * z,w). [hyper(236,a,18261,a(flip),b,19818,a(flip)),flip(a)]. given #18013 (H,wt=23): 19820 K(L(T(x,y),z,z \ 1) * u,y) = K(R(x,z,z \ 1) * u,y). [hyper(11587,a,19819,a),flip(a)]. given #18014 (H,wt=21): 19821 K(R(x,y,y \ 1) * z,u) = K(L(x,y,y \ 1) * z,u). [hyper(236,a,7494,a(flip),b,19820,a(flip))]. given #18015 (H,wt=23): 19822 K(L(x,y,y \ 1) * (x \ z),u) = K(a(x,y,y \ 1) * z,u). [para(18827(a,1),19821(a,1,1)),flip(a)]. given #18016 (H,wt=21): 19823 K(a(x \ 1,x,y) \ z,u) = K(a(y,x,x \ 1) * z,u). [hyper(236,a,15059,a(flip),b,19822,a(flip)),flip(a)]. given #18017 (H,wt=30): 19824 K((a(x \ 1,x,y) \ z) / (u * z),w) = K(a(y,x,x \ 1) * (u \ 1),L(w,u,z)). [hyper(236,a,19795,a(flip),b,19823,a(flip)),flip(a)]. given #18018 (H,wt=28): 19825 K(a(x,y,y \ 1) / z,L(u,z,w)) = K((a(y \ 1,y,x) \ w) / (z * w),u). [hyper(236,a,14068,a(flip),b,19824,a),flip(a)]. given #18019 (H,wt=28): 19826 K(x \ a(y,z,z \ 1),L(u,x,w)) = K((a(z \ 1,z,y) \ w) / (x * w),u). [hyper(17717,a,19825,a)]. given #18020 (H,wt=31): 19817 K(x,y / (z \ T(u,K(w,v5) * v6))) = K(x,K(y,z \ u)) * K(x,(z \ T(u,v6)) \ y). [para(19815(a,1),17081(a,1,2)),flip(a)]. given #18021 (H,wt=23): 19827 K(x,y / (z \ T(u,K(w,v5) * v6))) = K(x,y / (z \ T(u,v6))). [hyper(236,a,17081,a(flip),b,19817,a)]. given #18022 (H,wt=25): 19828 K(x,y / (z \ T(K(u,w) * v5,v5))) = K(x,y / (z \ (K(u,w) * v5))). [para(118(a,1),19827(a,1,2,2,2)),flip(a)]. given #18023 (H,wt=23): 19829 K(x,y / (z \ (K(u,w) * v5))) = K(x,y / (z \ (v5 * K(u,w)))). [para(13311(a,1),19828(a,1,2,2,2)),flip(a)]. given #18024 (H,wt=32): 19196 x * K(y * K(z,u),K(u,z) * (y \ x)) != w | (y * K(z,u)) * (x / (y * K(z,u))) = w. [para(19142(a,1),5323(a,1,2))]. given #18025 (H,wt=27): 19830 (K(x,y) * z) * (u / (K(x,y) * z)) = (z * K(x,y)) * (u / (z * K(x,y))). [hyper(19196,a,16608,a),flip(a)]. given #18026 (H,wt=25): 19833 (K(x,y) * z) * (K(x,y) / (K(x,y) * z)) = (z * K(x,y)) * (1 / z). [para(14155(a,1),19830(a,2,2))]. given #18027 (H,wt=25): 19834 (K(x,y) * z) * ((K(x,y) / z) * K(y,x)) = (z * K(x,y)) * (1 / z). [para(18001(a,1),19833(a,1,2))]. given #18028 (H,wt=23): 19835 (K(x,y) * z) * T(1 / z,K(x,y)) = (z * K(x,y)) * (1 / z). [para(14509(a,1),19834(a,1,2))]. given #18029 (H,wt=17): 19836 (x * K(y,z)) * (1 / x) = x * (K(y,z) / x). [hyper(236,a,18705,a(flip),b,19835,a(flip))]. given #18030 (H,wt=19): 19837 K(x,y) * K(z,z \ K(y,x)) = z * (K(x,y) / z). [hyper(16359,a,19836,a)]. given #18031 (H,wt=27): 19832 (x * K(y,z)) * (u / (x * K(y,z))) = x * T(u / T(x,K(y,z)),K(y,z)). [hyper(236,a,18700,a(flip),b,19830,a(flip))]. given #18032 (H,wt=29): 19839 K(x,y * (z * T(u / T(z,K(w,v5)),K(w,v5)))) = K(x,y * T(u,z * K(w,v5))). [para(19832(a,1),18563(a,1,2,2))]. given #18033 (H,wt=25): 19840 K(x,y * (z * (u / T(z,K(w,v5))))) = K(x,y * T(u,z * K(w,v5))). [hyper(16750,a,19839,a)]. given #18034 (H,wt=25): 19841 K(x,y * T(K(K(z,u),w) * v5,w)) = K(x,y * T(v5,w * K(z,u))). [hyper(236,a,18553,a,b,19840,a(flip)),flip(a)]. given #18035 (H,wt=25): 19842 K(x,y * T(K(z,K(u,w)) * v5,w)) = K(x,y * T(v5,w * K(z,u))). [para(7886(a,1),19841(a,1,2,2,1,1))]. given #18036 (H,wt=22): 19843 K(x,y * T(z,u * K(w,v5))) != v6 | K(x,y * T(z,u)) = v6. [para(19842(a,1),16773(a,1))]. given #18037 (H,wt=24): 19844 K(x,y * T(z,T(u,w) \ v5)) != v6 | K(x,y * T(z,u \ v5)) = v6. [para(8578(a,1),19843(a,1,2,2,2))]. given #18038 (H,wt=21): 19845 K(x,y * T(z,T(u,w) \ v5)) = K(x,y * T(z,u \ v5)). [hyper(19844,a,xx),flip(a)]. given #18039 (H,wt=23): 19846 K(x,y / T(z \ 1,u \ w)) = K(x,y * T(z,T(u,v5) \ w)). [hyper(236,a,16535,a,b,19845,a),flip(a)]. given #18040 (H,wt=30): 19831 (K(x,y) * z) * (u / (K(x,y) * z)) != w | (z * K(x,y)) * (u / (z * K(x,y))) = w. [para(16608(a,1),19196(a,1))]. given #18041 (H,wt=33): 19711 K(K(K(x,y),z) * ((u * (w \ K(x,y))) \ v5),v6) = K((u * ((w \ 1) * T(K(x,y),z))) \ v5,v6). [para(14046(a,1),19709(a,1,1,2,1,2))]. given #18042 (H,wt=33): 19713 K((((x \ 1) * K(y,z)) * T(u,x \ 1)) \ w,v5) = K((u * (x \ K(T(z,x \ u),y))) \ w,v5). [hyper(236,a,16909,a,b,19712,a(flip)),flip(a)]. given #18043 (H,wt=33): 19847 K(K(x,K(y,z)) * ((u * (w \ K(x,y))) \ v5),v6) = K((u * ((w \ 1) * T(K(x,y),z))) \ v5,v6). [para(7886(a,1),19711(a,1,1,1))]. given #18044 (H,wt=27): 19849 K((x * ((y \ 1) * T(K(z,u),w))) \ v5,v6) = K((x * (y \ K(z,u))) \ v5,v6). [hyper(16651,a,19847,a),flip(a)]. given #18045 (H,wt=27): 19851 K((x * ((y \ 1) * K(z,T(u,w)))) \ v5,v6) = K((x * (y \ K(z,u))) \ v5,v6). [para(6439(a,1),19849(a,1,1,1,2,2))]. given #18046 (H,wt=25): 19852 K((x * (y \ K(z,T(u,w)))) \ v5,v6) = K((x * (y \ K(z,u))) \ v5,v6). [para(14046(a,1),19851(a,1,1,1,2))]. given #18047 (H,wt=33): 19848 K((((x \ 1) * K(y,z)) * T(u,x \ 1)) \ w,v5) = K((u * (x \ K(z,T(y,x \ u)))) \ w,v5). [para(7260(a,1),19713(a,2,1,1,2,2))]. given #18048 (H,wt=29): 19853 K((((x \ 1) * K(y,z)) * T(u,x \ 1)) \ w,v5) = K((u * (x \ K(z,y))) \ w,v5). [hyper(236,a,19852,a(flip),b,19848,a)]. given #18049 (H,wt=27): 19855 K(((x \ K(y,z)) * T(u,x \ 1)) \ w,v5) = K((u * (x \ K(z,y))) \ w,v5). [para(14046(a,1),19853(a,1,1,1,1))]. given #18050 (H,wt=25): 19856 K(((x \ K(y,z)) * T(u,x)) \ w,v5) = K((u * (x \ K(z,y))) \ w,v5). [hyper(236,a,19597,a(flip),b,19855,a(flip)),flip(a)]. given #18051 (H,wt=31): 19857 K(x * K((y * (z \ K(u,w))) \ v5,x),v6) = K(x,T(v6,((z \ K(w,u)) * T(y,z)) \ v5)). [para(19856(a,1),8085(a,1,1,2))]. given #18052 (H,wt=29): 19858 K(x,T(y,((z \ K(u,w)) * T(v5,z)) \ v6)) = K(x,T(y,(v5 * (z \ K(w,u))) \ v6)). [hyper(8428,a,19857,a),flip(a)]. given #18053 (H,wt=29): 19859 K(x,T(y,((z \ K(u,w)) * T(v5,z)) \ v6)) = K(x,T(y,v5 \ ((z \ K(w,u)) \ v6))). [hyper(236,a,17930,a(flip),b,19858,a)]. given #18054 (H,wt=29): 19860 K(x,T(y,(z \ K(u,w)) \ (T(v5,z) \ v6))) = K(x,T(y,v5 \ ((z \ K(w,u)) \ v6))). [hyper(17931,a,19859,a)]. given #18055 (H,wt=29): 19861 K(x,T(y,z * (K(u,w) * (T(v5,z) \ v6)))) = K(x,T(y,v5 \ ((z \ K(u,w)) \ v6))). [para(18017(a,1),19860(a,1,2))]. given #18056 (H,wt=25): 19862 K(x,T(y,z \ ((u \ K(w,v5)) \ v6))) = K(x,T(y,u * (T(z,u) \ v6))). [hyper(16994,a,19861,a),flip(a)]. given #18057 (H,wt=23): 19863 K(x,T(y,z \ ((u \ K(w,v5)) \ v6))) = K(x,T(y,u * (z \ v6))). [hyper(236,a,17177,a(flip),b,19862,a)]. given #18058 (H,wt=23): 19864 K(x,T(y,z \ (u * (w \ K(v5,v6))))) = K(x,T(y,w * (u \ z))). [hyper(17942,a,19863,a)]. given #18059 (H,wt=23): 19866 K(x,T(y,z * (u * (w \ K(v5,v6))))) = K(x,T(y,w * (u \ z))). [hyper(16373,a,19864,a)]. given #18060 (H,wt=34): 19216 L(x * (K(y,z) * K(u,u \ K(z,y))),K(z,y),K(u \ K(z,y),u)) = x / ((u \ K(z,y)) * u). [para(19174(a,1),18748(a,1,1))]. given #18061 (H,wt=23): 19867 x * (K(y,z) * K(u,u \ K(z,y))) = x / ((u \ K(z,y)) * u). [hyper(236,a,19171,a(flip),b,19216,a(flip)),flip(a)]. given #18062 (H,wt=19): 19869 x / ((y \ K(z,u)) * y) = x * (y * (K(u,z) / y)). [para(19837(a,1),19867(a,1,2)),flip(a)]. given #18063 (H,wt=17): 19870 1 / (x * (K(y,z) / x)) = (x \ K(z,y)) * x. [hyper(522,a,19869,a)]. given #18064 (H,wt=17): 19871 (x \ 1) * (K(y,z) * x) = (x \ K(y,z)) * x. [hyper(236,a,18712,a(flip),b,19870,a(flip)),flip(a)]. given #18065 (H,wt=24): 19872 K(x,y) * L(z,z \ K(x,y),z) = z * ((z \ 1) * (K(x,y) * z)). [para(19871(a,2),433(a,2,2))]. given #18066 (H,wt=21): 19873 x * ((x \ 1) * (K(y,z) * x)) = K(y,z) * (1 / (1 / x)). [para(14557(a,1),19872(a,1,2)),flip(a)]. given #18067 (H,wt=19): 19874 x * ((x \ 1) * (K(y,z) * x)) = K(y,z) / (1 / x). [hyper(236,a,14500,a(flip),b,19873,a)]. given #18068 (H,wt=17): 19876 x * ((x \ K(y,z)) * x) = K(y,z) / (1 / x). [para(19871(a,1),19874(a,1,2))]. given #18069 (H,wt=34): 19290 K(x,y) \ (a(x,z \ 1,K(y,z * (u * K(y,x)))) * u) = (1 / z) * ((K(x,y) * (1 / z)) \ u). [para(19287(a,1),19000(a,1,2,1,3))]. given #18070 (H,wt=30): 19877 K(x,y) \ (a(x,z \ 1,K(y,z * u)) * u) = (1 / z) * ((K(x,y) * (1 / z)) \ u). [para(7602(a,1),19290(a,1,2,1,3))]. given #18071 (H,wt=30): 19878 K(x,y) * (a(y,z \ 1,K(x,z * u)) * u) = (1 / z) * ((K(y,x) * (1 / z)) \ u). [hyper(5286,a,19877,a)]. given #18072 (H,wt=26): 19880 K(x,L(y,z \ 1,z * u)) * u = (1 / z) * ((K(y,x) * (1 / z)) \ u). [hyper(236,a,14653,a(flip),b,19878,a(flip)),flip(a)]. given #18073 (H,wt=24): 19881 K(x,L(y,z \ 1,z * u)) * u = (1 / z) * ((K(y,x) / z) \ u). [para(14500(a,1),19880(a,2,2,1))]. given #18074 (H,wt=34): 19361 K((x * y) \ z,L(u,z,K(w,L(v5,x,y)))) = K(K(w,L(v5,x,y)) * (((K(w,v5) * x) * y) \ z),u). [hyper(15415,a,19360,a)]. given #18075 (H,wt=26): 19882 K(K(x,L(y,z,u)) * (((K(x,y) * z) * u) \ w),v5) = K((z * u) \ w,v5). [hyper(17774,a,19361,a),flip(a)]. given #18076 (H,wt=23): 19883 K(K(x,y) * (((K(x,y) * z) * u) \ w),v5) = K((z * u) \ w,v5). [hyper(18110,a,19882,a)]. given #18077 (H,wt=35): 19199 K(x,y * ((z * K(u,w)) \ v5)) * K(x,K(y,K(w,u) * (z \ v5))) = K(x,((z * K(u,w)) \ v5) * y). [para(19142(a,1),13242(a,1,2,2))]. given #18078 (H,wt=31): 19886 K(x,y * ((z * K(u,w)) \ v5)) * K(x,K(y,z \ v5)) = K(x,((z * K(u,w)) \ v5) * y). [para(17028(a,1),19199(a,1,2))]. given #18079 (H,wt=35): 19211 x * (K(y,x \ z) * K(z \ x,x \ z)) = z * ((((z \ x) \ 1) \ 1) * K(y,1 \ ((z \ x) \ 1))). [hyper(236,a,11885,a(flip),b,19174,a(flip))]. given #18080 (H,wt=33): 19888 x * ((T(x \ y,z) \ 1) * (x \ y)) = y * ((((y \ x) \ 1) \ 1) * K(z,1 \ ((y \ x) \ 1))). [para(5665(a,1),19211(a,1,2))]. given #18081 (H,wt=25): 19889 x * ((T(x \ y,z) \ 1) * (x \ y)) = y * (T((y \ x) \ 1,z) \ 1). [para(8579(a,1),19888(a,2,2))]. given #18082 (H,wt=35): 19332 (T(x \ 1,y) * z) * (u / (T(x \ 1,y) * z)) = u * K(T(x,y) \ z,T(x \ 1,y) \ (z \ u)). [para(19329(a,1),14646(a,1,2)),flip(a)]. given #18083 (H,wt=33): 19890 (T(x \ 1,y) * z) * (u / (T(x \ 1,y) * z)) = u * K(T(x,y) \ z,T(x,y) * (z \ u)). [para(19304(a,1),19332(a,2,2))]. given #18084 (H,wt=33): 19891 (T(x \ 1,y) * y) * (z / (T(x \ 1,y) * y)) = z * K(x \ T(y,x),T(x,y) * (y \ z)). [para(4117(a,1),19890(a,2,2,1))]. given #18085 (H,wt=29): 19892 x * K(y \ T(z,y),T(y,z) * (z \ x)) = (z * (y \ 1)) * (x / (z * (y \ 1))). [hyper(15811,a,19891,a),flip(a)]. given #18086 (H,wt=27): 19893 (x * (y \ 1)) * (z / (x * (y \ 1))) = z * K(x / y,T(y,x) * (x \ z)). [para(13431(a,1),19892(a,1,2)),flip(a)]. given #18087 (H,wt=27): 19894 (x * (y \ 1)) * (z / (x * (y \ 1))) = z * K(y \ x,(x \ z) * T(y,x)). [para(16335(a,1),19893(a,2,2))]. given #18088 (H,wt=25): 19895 (x * (y \ 1)) * (z / (x * (y \ 1))) = z * K(y \ x,(x \ z) * y). [para(13132(a,1),19894(a,2,2))]. given #18089 (H,wt=21): 19896 x * K(y \ z,(z \ x) * y) = (z / y) * (x / (z / y)). [hyper(236,a,15018,a(flip),b,19895,a(flip))]. given #18090 (H,wt=19): 19897 K(x / y,(x / y) \ z) = K(y \ x,(x \ z) * y). [hyper(17,a,5079,a,b,19896,a),flip(a)]. given #18091 (H,wt=19): 19901 K(x / y,z * (y / x)) = K(y \ x,(x \ z) * y). [hyper(236,a,18247,a(flip),b,19897,a(flip)),flip(a)]. given #18092 (H,wt=19): 19902 K(x / y,(x \ y) * z) = K(y \ x,(x \ z) * y). [hyper(236,a,13580,a,b,19901,a(flip)),flip(a)]. given #18093 (H,wt=21): 19903 x * K(y / z,(y \ z) * x) = (y / z) * (x / (y / z)). [para(19902(a,2),19896(a,1,2))]. given #18094 (H,wt=23): 19898 (x * (1 / y)) * (z / (x * (1 / y))) = (x / y) * (z / (x / y)). [hyper(236,a,15279,a,b,19896,a(flip)),flip(a)]. given #18095 (H,wt=23): 19904 ((x / y) \ 1) * (z / ((x / y) \ 1)) = (y / x) * (z / (y / x)). [hyper(236,a,13579,a,b,19903,a(flip)),flip(a)]. given #18096 (H,wt=25): 19905 K(x / (y * (1 / z)),y * (1 / z)) = ((y / z) * (x / (y / z))) \ x. [para(19898(a,1),99(a,1,1)),flip(a)]. given #18097 (H,wt=23): 19907 K(x / (y * (1 / z)),y * (1 / z)) = K((y / z) \ x,y / z). [hyper(236,a,5080,a(flip),b,19905,a)]. given #18098 (H,wt=23): 19908 K(x / (y * (1 / z)),y * (1 / z)) = K(y \ (z * x),y / z). [hyper(236,a,10757,a(flip),b,19907,a)]. given #18099 (H,wt=21): 19909 K(x / (y * (1 / z)),y / z) = K(y \ (z * x),y / z). [hyper(14304,a,19908,a)]. given #18100 (H,wt=21): 19910 K(x / (y * (z \ 1)),y / z) = K(y \ (z * x),y / z). [hyper(16590,a,19909,a)]. given #18101 (H,wt=19): 19911 K(x \ (y * z),x / y) = K(y * (x \ z),x / y). [hyper(236,a,15069,a(flip),b,19910,a(flip))]. given #18102 (H,wt=23): 19912 K(x * (y \ T(z,u)),y / x) = K(y \ (z * x),T(x \ y,u)). [hyper(236,a,15911,a(flip),b,19911,a(flip))]. given #18103 (H,wt=27): 19900 (T(x,y) / y) * (z / (T(x,y) / y)) = z * K(x / y,(T(x,y) \ z) * y). [para(13431(a,1),19896(a,1,2)),flip(a)]. given #18104 (H,wt=27): 19913 (T(x,y) / y) * (z / (T(x,y) / y)) = z * K(y \ x,y * (T(x,y) \ z)). [para(13029(a,1),19900(a,2,2))]. given #18105 (H,wt=25): 19914 (T(x,y) / y) * (z / (T(x,y) / y)) = z * K(y \ x,y * (x \ z)). [para(19560(a,1),19913(a,2,2))]. given #18106 (H,wt=31): 19906 ((x / y) \ K(y,z)) * (u / ((x / y) \ K(y,z))) = (T(y,z) / x) * (u / (T(y,z) / x)). [hyper(16861,a,19904,a)]. given #18107 (H,wt=35): 19334 K(x,K(K(y,y \ z),u) * ((((y \ z) * y) \ w) \ v5)) = K(x,(T(K(y,y \ z),u) * (z \ w)) \ v5). [para(11060(a,1),19281(a,1,2,2,1))]. given #18108 (H,wt=35): 19335 K(x,K(K(y,y \ z),u) * (((y * (z / y)) * w) \ v5)) = K(x,(T(K(y,y \ z),u) * (z * w)) \ v5). [para(11107(a,1),19281(a,1,2,2,1))]. given #18109 (H,wt=35): 19344 K(x,(y * (y \ z)) \ T(((z / y) * u) * y,K(y,z))) = K(x,((y \ z) * y) \ (((y \ z) * u) * y)). [para(18399(a,2),19292(a,1,2,2))]. given #18110 (H,wt=31): 19918 K(x,((y \ z) * y) \ (((y \ z) * u) * y)) = K(x,z \ T(((z / y) * u) * y,K(y,z))). [para(14(a,1),19344(a,1,2,1)),flip(a)]. given #18111 (H,wt=30): 19920 K(x,((y \ z) * y) \ (((y \ z) * u) * y)) != w | K(x,z \ (((z / y) * u) * y)) = w. [para(19918(a,2),16671(a,1))]. given #18112 (H,wt=35): 19412 K(x,T((y * ((z * u) / z)) \ w,v5)) = ((v5 * x) / v5) / ((v5 * (x * K((y * T(u,z)) \ w,x))) / v5). [para(19409(a,1),9124(a,1,2,1,2,2)),flip(a)]. given #18113 (H,wt=28): 19921 K(x,T((y * ((z * u) / z)) \ w,v5)) != v6 | K(x,T((y * T(u,z)) \ w,v5)) = v6. [para(19412(a,2),9125(a,1))]. given #18114 (H,wt=23): 19922 K(x,T((y * T(z,y)) \ u,z \ u)) = K(x,T(u,z) / (y * z)). [hyper(19921,a,19694,a)]. given #18115 (H,wt=21): 19923 K(x,T((y * z) \ u,y \ u)) = K(x,T(u,y) / (z * y)). [para(119(a,1),19922(a,1,2,1,1))]. given #18116 (H,wt=35): 19519 K(x / ((K(y,z) * T(z,u)) / T(w,K(y,z) * T(z,u))),v5) = K(x / ((w \ T(z,u)) * K(y,z)),v5). [para(15631(a,1),19518(a,2,1,2))]. given #18117 (H,wt=35): 19578 K(K(x,y) * (((K(x,y) * z) * (u / w)) \ (z * u)),v5) != v6 | K(L(w,u / w,K(x,y) * z),v5) = v6. [para(19576(a,1),8416(a,1))]. given #18118 (H,wt=24): 19925 K(L(x,y / x,K(z,u) * w),v5) = K((w * (y / x)) \ (w * y),v5). [hyper(19578,a,19883,a)]. given #18119 (H,wt=19): 19926 K(L(x,y / x,K(z,u) * w),v5) = K(x,L(v5,y,w)). [hyper(236,a,11478,a(flip),b,19925,a)]. given #18120 (H,wt=17): 19927 K(x,L(y,z,K(u,w) * v5)) = K(x,L(y,z,v5)). [hyper(11575,a,19926,a)]. given #18121 (H,wt=17): 19928 K(x,L(y,z,u * K(w,v5))) = K(x,L(y,z,u)). [hyper(17847,a,19927,a)]. given #18122 (H,wt=17): 19936 K(x,L(y,z,u / K(w,v5))) = K(x,L(y,z,u)). [para(16(a,1),19928(a,1,2,3)),flip(a)]. given #18123 (H,wt=19): 19931 K(x,L(y,z,T(u,w) \ v5)) = K(x,L(y,z,u \ v5)). [para(5178(a,1),19927(a,1,2,3)),flip(a)]. given #18124 (H,wt=19): 19932 K(x,L(y,z,u \ T(w,v5))) = K(x,L(y,z,u \ w)). [para(5540(a,1),19927(a,1,2,3)),flip(a)]. given #18125 (H,wt=21): 19934 a(x,y,K(K(z,u) * w,v5)) = K(v5,x) * K(x,L(v5,y,w)). [para(19927(a,1),13999(a,1,2)),flip(a)]. given #18126 (H,wt=17): 19942 a(x,y,K(K(z,u) * w,v5)) = a(x,y,K(w,v5)). [hyper(236,a,13999,a(flip),b,19934,a)]. given #18127 (H,wt=17): 19943 a(x,y,K(z * K(u,w),v5)) = a(x,y,K(z,v5)). [hyper(17996,a,19942,a)]. given #18128 (H,wt=17): 19944 a(x,y,K(K(z,u) * w,v5)) = a(v5,y,K(x,w)). [hyper(236,a,13990,a(flip),b,19942,a)]. given #18129 (H,wt=17): 19952 a(x,y,K(z,K(u,w) * v5)) = a(x,y,K(z,v5)). [hyper(14287,a,19944,a)]. given #18130 (H,wt=19): 19948 a(x,y,K(z \ K(u,w),v5)) = a(x,y,K(z \ 1,v5)). [para(14093(a,1),19942(a,1,3,1))]. given #18131 (H,wt=19): 19953 L(x,y,K(K(z,u) * w,v5)) = a(v5,y,K(x,w)) * x. [para(19944(a,1),14671(a,1,1)),flip(a)]. given #18132 (H,wt=17): 19956 L(x,y,K(K(z,u) * w,v5)) = L(x,y,K(w,v5)). [hyper(236,a,14674,a(flip),b,19953,a)]. given #18133 (H,wt=17): 19957 L(x,y,K(z,u \ K(w,v5))) = L(x,y,K(u,z)). [hyper(236,a,14721,a(flip),b,19956,a(flip)),flip(a)]. given #18134 (H,wt=19): 19959 L(x,y,K(z,u \ T(w,v5))) = L(x,y,K(w \ u,z)). [para(15735(a,1),19957(a,1,3))]. given #18135 (H,wt=21): 19937 K(x,L(y,z,u \ (w / v5))) = K(x,L(y,z,u \ (v5 \ w))). [para(14228(a,1),19928(a,1,2,3))]. given #18136 (H,wt=21): 19945 a(x,y,K((z / u) \ w,v5)) = a(x,y,K((u \ z) \ w,v5)). [para(5507(a,1),19942(a,1,3,1))]. given #18137 (H,wt=21): 19946 a(x,y,K((z / u) * w,v5)) = a(x,y,K((u \ z) * w,v5)). [para(5546(a,1),19942(a,1,3,1)),flip(a)]. given #18138 (H,wt=21): 19954 a(x,y,K(z,u \ (w / v5))) = a(x,y,K(z,u \ (v5 \ w))). [para(16523(a,1),19952(a,1,3))]. given #18139 (H,wt=21): 19960 a((x / y) \ z,u,K(w,v5)) = a(v5,u,K((y \ x) \ z,w)). [hyper(14073,a,19945,a)]. given #18140 (H,wt=21): 19963 a((x / y) \ z,u,K(w,v5)) = a((y \ x) \ z,u,K(w,v5)). [hyper(236,a,13990,a,b,19960,a)]. given #18141 (H,wt=22): 19939 K(x,L(y,z,u \ K(w,v5))) != v6 | K(x,L(y,z,u \ 1)) = v6. [para(19936(a,1),14831(a,1))]. given #18142 (H,wt=23): 19929 K(x,L(y,z * (K(u,w) * v5),K(u,w) * v5)) = K(x,L(y,z,v5)). [hyper(236,a,15471,a,b,19927,a(flip)),flip(a)]. given #18143 (H,wt=19): 19965 K(x,L(y,z * (K(u,w) * v5),v5)) = K(x,L(y,z,v5)). [hyper(236,a,19927,a(flip),b,19929,a(flip)),flip(a)]. given #18144 (H,wt=25): 19938 K(x * (y * K(z,u)),L(w,x,y)) != v5 | K(x * (y * K(z,u)),w) = v5. [para(19928(a,1),14574(a,1))]. given #18145 (H,wt=25): 19950 a(x,y,K(z,u)) * K(u,z * K(w,v5)) = K(u,L(z * K(w,v5),y,x)). [para(19943(a,1),11513(a,1,1))]. given #18146 (H,wt=25): 19955 a(x,y,K(z \ 1,u)) * (z \ K(w,v5)) = L(z \ K(w,v5),y,K(u,x)). [para(19948(a,1),14674(a,1,1))]. given #18147 (H,wt=23): 19970 a(x,y,K(z,u)) * (x \ K(w,v5)) = L(x \ K(w,v5),y,K(u,z)). [para(14010(a,1),19955(a,1,1))]. given #18148 (H,wt=21): 19971 L(x \ K(y,z),u,K(w,v5)) = L(x,u,K(w,v5)) \ K(y,z). [hyper(236,a,14770,a(flip),b,19970,a(flip))]. given #18149 (H,wt=23): 19972 K(x,y) \ L(x \ K(x,y),z,K(u,w)) = L(x,z,K(u,w)) \ 1. [para(19971(a,2),18574(a,1,2))]. given #18150 (H,wt=23): 19973 K(x,y) * L(y \ K(y,x),z,K(u,w)) = L(y,z,K(u,w)) \ 1. [hyper(5286,a,19972,a)]. given #18151 (H,wt=25): 19961 a(x,y,K((z \ u) * K(w,v5),v6)) = a(x,y,K(u * (z \ K(w,v5)),v6)). [para(19369(a,1),19946(a,1,3)),flip(a)]. given #18152 (H,wt=21): 19974 a(x,y,K(z * (u \ K(w,v5)),v6)) = a(x,y,K(u \ z,v6)). [hyper(236,a,19943,a(flip),b,19961,a(flip))]. given #18153 (H,wt=21): 19975 a(x * (y \ K(z,u)),w,K(v5,v6)) = a(v6,w,K(y \ x,v5)). [hyper(14073,a,19974,a)]. given #18154 (H,wt=21): 19977 a(x * (y \ K(z,u)),w,K(v5,v6)) = a(y \ x,w,K(v5,v6)). [hyper(236,a,13990,a,b,19975,a)]. given #18155 (H,wt=21): 19978 a((x \ K(y,z)) * u,w,K(v5,v6)) = a(x \ u,w,K(v5,v6)). [hyper(17842,a,19977,a)]. given #18156 (H,wt=26): 19933 (K(x,y) * z) * (T(x,z) * K(u,w)) = (T(x,y) * z) * K(u,L(w,x,z)). [para(19927(a,1),11759(a,1,2)),flip(a)]. given #18157 (H,wt=26): 19935 K(x,L(y,z,u)) * (z * (K(w,v5) * u)) = (K(x,y) * z) * (K(w,v5) * u). [para(19927(a,1),15367(a,1,1))]. given #18158 (H,wt=22): 19981 (K(x,y) * z) * (K(y,T(x,z)) * u) = z * L(u,K(y,x),z). [hyper(236,a,19350,a(flip),b,19935,a(flip))]. given #18159 (H,wt=20): 19983 (x * K(y,z)) * (K(z,y) * u) = x * L(u,K(z,y),x). [hyper(11113,a,19981,a)]. given #18160 (H,wt=17): 19984 L(x,K(y,z),u * K(z,y)) = L(x,K(y,z),u). [hyper(7564,a,19983,a)]. given #18161 (H,wt=26): 19940 K(x,L(T(y,z) / (u / w),T(y,z),y \ u)) = K(x,(T(y,z) * w) / u). [hyper(236,a,18415,a(flip),b,19931,a(flip))]. given #18162 (H,wt=26): 19941 K(x,L((y * K(z,u)) \ w,u,y \ u)) = K(x,u \ ((T(u,z) / y) * w)). [hyper(236,a,17822,a(flip),b,19932,a(flip))]. given #18163 (H,wt=26): 19947 (K(x,y) * z) * a(u,w,K(z,v5)) != v6 | T(K(x,y) * z,a(u,w,v5)) = v6. [para(19942(a,1),13866(a,1,2))]. given #18164 (H,wt=21): 19988 T(K(x,y) * z,a(u,w,v5)) = K(x,y) * L(z,w,K(v5,u)). [hyper(19947,a,14701,a)]. given #18165 (H,wt=21): 19990 T(K(x,y) * z,a(u,w,v5)) = K(x,y) * T(z,a(u,w,v5)). [para(14670(a,1),19988(a,2,2))]. given #18166 (H,wt=21): 19992 T(x * K(y,z),a(u,w,v5)) = T(x,a(u,w,v5)) * K(y,z). [hyper(6141,a,19990,a),flip(a)]. given #18167 (H,wt=21): 19993 T(x * K(y,z),a(u,w,v5)) = L(x,w,K(v5,u)) * K(y,z). [para(14670(a,2),19992(a,2,1))]. given #18168 (H,wt=24): 19991 K(x,y) * L(z,u,K(w,v5)) != v6 | L(K(x,y) * z,u,K(w,v5)) = v6. [para(19988(a,1),14749(a,1))]. given #18169 (H,wt=23): 19995 L(K(x,y) * (y \ K(y,x)),z,K(u,w)) = L(y,z,K(u,w)) \ 1. [hyper(19991,a,19973,a)]. given #18170 (H,wt=17): 19996 L(x \ 1,y,K(z,u)) = L(x,y,K(z,u)) \ 1. [para(5263(a,1),19995(a,1,1))]. given #18171 (H,wt=19): 19997 L(x \ 1,y * x,K(z,u)) = L(x,y,K(z,u)) \ 1. [para(14741(a,1),19996(a,2,1))]. given #18172 (H,wt=19): 19999 L(x \ 1,y * x,K(z,u)) = L(x \ 1,y,K(z,u)). [hyper(236,a,19996,a,b,19997,a)]. given #18173 (H,wt=24): 19994 L(x,y,K(z,u)) * K(w,v5) != v6 | L(x * K(w,v5),y,K(z,u)) = v6. [para(19993(a,1),14749(a,1))]. given #18174 (H,wt=25): 19989 K(x,y) * L(T(z,K(y,x)),u,K(w,v5)) = T(z * K(x,y),a(v5,u,w)). [para(7990(a,1),19988(a,1,1)),flip(a)]. given #18175 (H,wt=21): 20001 L(T(x,K(y,z)),u,K(w,v5)) = T(x,a(v5,u,w) * K(z,y)). [hyper(17,a,17727,a,b,19989,a)]. given #18176 (H,wt=21): 20002 L(T(x,K(y,z)),u,K(w,v5)) = T(x,K(z,y) * a(v5,u,w)). [hyper(236,a,16123,a,b,20001,a)]. given #18177 (H,wt=26): 19962 K(x,y / (z * u)) * a(u,y,K(x,z \ (u \ y))) = K(x,(y / u) / z). [para(19954(a,1),17995(a,1,2))]. given #18178 (H,wt=24): 20004 K(x,y / (z * u)) * a(u,y,K(x,z \ y)) = K(x,(y / u) / z). [para(14394(a,1),19962(a,1,2))]. given #18179 (H,wt=20): 20005 K(x,(y * L(z \ 1,z,u)) / u) = K(x,(y / z) / u). [hyper(236,a,18741,a(flip),b,20004,a(flip)),flip(a)]. given #18180 (H,wt=20): 20006 K(x,L(y / (z * u),y,y \ z)) = K(x,(y / u) / z). [hyper(236,a,18418,a,b,20005,a(flip)),flip(a)]. given #18181 (H,wt=24): 20007 K(x,L((y * z) / (y * u),y,z \ 1)) = K(x,((y * z) / u) / y). [hyper(14835,a,20006,a)]. given #18182 (H,wt=26): 20003 a(x,y,z) * L(T(u,K(w,v5)),y,K(z,x)) = T(u * a(x,y,z),K(v5,w)). [para(20002(a,2),17809(a,1,2))]. given #18183 (H,wt=26): 20008 a(x,y,z) * L(T(u,K(w,v5)),y,K(z,x)) = T(u * a(x,y,z),K(w,v5)). [hyper(236,a,7981,a,b,20003,a)]. given #18184 (H,wt=21): 20009 T(x * a(y,z,u),K(w,v5)) = T(x,K(w,v5)) * a(y,z,u). [hyper(14683,a,20008,a),flip(a)]. given #18185 (H,wt=27): 19979 K(x,L(y,z,(K(u,w) * (v5 \ 1)) * v6)) = K(x,y) * a(v5 \ v6,z,K(y,x)). [para(19978(a,1),18928(a,1,2)),flip(a)]. given #18186 (H,wt=23): 20011 K(x,L(y,z,(K(u,w) * (v5 \ 1)) * v6)) = K(x,L(y,z,v5 \ v6)). [hyper(236,a,11482,a(flip),b,19979,a)]. given #18187 (H,wt=21): 20013 K(x,L(y,z,(u \ K(w,v5)) * v6)) = K(x,L(y,z,u \ v6)). [para(14093(a,1),20011(a,1,2,3,1))]. given #18188 (H,wt=19): 20015 K(x,L(y,z,u * (w \ 1))) = K(x,L(y,z,w \ u)). [para(5071(a,1),20013(a,1,2,3))]. given #18189 (H,wt=21): 20014 K(x,L(y,z,u * (w \ K(v5,v6)))) = K(x,L(y,z,w \ u)). [hyper(17847,a,20013,a)]. given #18190 (H,wt=23): 20017 K(x,L(y,z,(K(u,w) * v5) \ v6)) = K(x,L(y,z,v6 * (v5 \ 1))). [para(14513(a,1),20014(a,1,2,3,2)),flip(a)]. given #18191 (H,wt=21): 20018 K(x,L(y,z,(K(u,w) * v5) \ v6)) = K(x,L(y,z,v5 \ v6)). [hyper(236,a,20015,a(flip),b,20017,a)]. given #18192 (H,wt=22): 20019 x \ (y * ((K(z,u) * y) \ x)) = K(u,L(T(z,x),y,y \ x)). [hyper(236,a,15538,a(flip),b,20018,a(flip)),flip(a)]. given #18193 (H,wt=22): 20020 x * K(y,L(T(z,u),u,u \ x)) = (x / (K(z,y) * u)) * u. [para(20018(a,1),17825(a,1,2))]. given #18194 (H,wt=21): 20023 (x / y) * (y * K(z,T(u,y))) = (x / (K(u,z) * y)) * y. [hyper(236,a,11505,a(flip),b,20020,a(flip)),flip(a)]. given #18195 (H,wt=19): 20025 (x / (K(y,z) * u)) * u = (x / u) * (K(z,y) * u). [hyper(7286,a,20023,a),flip(a)]. given #18196 (H,wt=25): 20016 K(x,L(y,(z * (u \ 1)) \ w,z * (u \ 1))) = K(x,L(y,w,u \ z)). [hyper(236,a,14565,a,b,20015,a(flip)),flip(a)]. given #18197 (H,wt=23): 20028 K(x,L(y,(z * (u \ 1)) \ w,u \ z)) = K(x,L(y,w,u \ z)). [hyper(236,a,20015,a(flip),b,20016,a(flip)),flip(a)]. given #18198 (H,wt=27): 20026 (K((x / y) \ 1,z) * ((x / y) * y)) / y = x / (K(z,(x / y) \ 1) * y). [hyper(74,a,5945,a,b,20025,a)]. given #18199 (H,wt=25): 20029 (K(x / y,z) * ((y / x) * x)) / x = y / (K(z,(y / x) \ 1) * x). [para(5699(a,1),20026(a,1,1,1))]. given #18200 (H,wt=21): 20030 x / (K(y,(x / z) \ 1) * z) = (K(z / x,y) * x) / z. [para(16(a,1),20029(a,1,1,2)),flip(a)]. given #18201 (H,wt=21): 20031 x / (K(y,(x / z) \ 1) * z) = (x * K(x \ z,y)) / z. [para(7336(a,1),20030(a,2,1))]. given #18202 (H,wt=21): 20032 x / (K(y,(x / z) \ 1) * z) = K(z / x,y) * (x / z). [hyper(236,a,10344,a(flip),b,20031,a)]. given #18203 (H,wt=19): 20033 x / (y * K(z,x \ y)) = K(y / x,z) * (x / y). [para(6425(a,1),20032(a,1,2))]. given #18204 (H,wt=28): 19951 a(x,y,K(z,u)) * K(u,z * K(w,v5)) != v6 | K(u,L(z * K(w,v5),y,x)) = v6. [para(19943(a,1),11530(a,1,1))]. given #18205 (H,wt=28): 19964 a((x \ y) \ z,z,K(u,z \ y)) \ K(u,(z * x) / y) = K(u,z / (y / x)). [para(19963(a,1),18416(a,1,1))]. given #18206 (H,wt=28): 19986 K(x,y) * L(K(y,x) * z,K(x,y),u) = K(x,y) * (u \ ((u / K(x,y)) * z)). [para(19984(a,1),10475(a,1,2))]. given #18207 (H,wt=28): 20022 x \ (y * ((a(z,u,K(w,v5)) * y) \ x)) = K(a(w,u,z),L(T(v5,x),y,y \ x)). [para(13995(a,2),20019(a,1,2,2,1,1))]. given #18208 (H,wt=28): 20035 a(x,y,K((z \ u) \ y,y \ u)) * K(x,(y * z) / u) = K(x,y / (u / z)). [hyper(14603,a,19964,a)]. given #18209 (H,wt=28): 20036 K(x,y) * L(K(y,x) * z,K(x,y),u) = K(x,y) * (u \ ((u * K(y,x)) * z)). [para(7547(a,1),19986(a,2,2,2,1))]. given #18210 (H,wt=29): 19982 (K(x,y) * z) * (K(u,w) * v5) != v6 * (z * (K(u,w) * v5)) | K(x,L(y,z,v5)) = v6. [para(19935(a,1),20(a,1))]. given #18211 (H,wt=29): 20010 (a(x,y,z) * u) \ T(T(u * a(x,y,z),K(w,v5)),T(u,K(w,v5))) = K(u,K(w,v5)). [para(20009(a,2),13861(a,1,2,1))]. given #18212 (H,wt=25): 20037 (a(x,y,z) * u) \ T(T(u * a(x,y,z),K(w,v5)),u) = K(u,K(w,v5)). [para(16118(a,1),20010(a,1,2))]. given #18213 (H,wt=23): 20038 (a(x,y,z) * u) \ T(a(x,y,z) * u,K(w,v5)) = K(u,K(w,v5)). [para(13862(a,1),20037(a,1,2))]. given #18214 (H,wt=23): 20040 K(x,K(y,z)) * (a(u,w,v5) * x) = T(a(u,w,v5) * x,K(y,z)). [para(20038(a,1),3194(a,1,1))]. given #18215 (H,wt=16): 20042 K(x,K(y,a(z,u,w) * v5)) = K(v5,K(x,y)). [hyper(18,a,7934,a,b,20040,a),flip(a)]. given #18216 (H,wt=16): 20043 K(x * a(y,z,u),K(w,v5)) = K(x,K(w,v5)). [hyper(16096,a,20042,a)]. given #18217 (H,wt=18): 20044 T(x,K(y,a(z,u,w) * v5)) = x * K(v5,K(y,x)). [para(20042(a,1),7924(a,1,2)),flip(a)]. given #18218 (H,wt=16): 20048 T(x,K(y,a(z,u,w) * v5)) = T(x,K(y,v5)). [hyper(236,a,7893,a(flip),b,20044,a)]. given #18219 (H,wt=16): 20050 T(x,K(y,a(z,u,w) \ v5)) = T(x,K(y,v5)). [hyper(16583,a,20048,a)]. given #18220 (H,wt=16): 20051 T(x,K(y,z * a(u,w,v5))) = T(x,K(y,z)). [hyper(16307,a,20048,a)]. given #18221 (H,wt=16): 20054 T(x,K(y,z \ a(u,w,v5))) = T(x,K(y,z)). [hyper(9322,a,20050,a)]. given #18222 (H,wt=16): 20055 T(x,K(y,a(z,u,w) \ v5)) = T(x,K(v5,y)). [hyper(236,a,7981,a,b,20050,a)]. given #18223 (H,wt=19): 20049 T(x,K(y,a(z,u,w) * v5)) != v6 | T(x,K(y,v5)) = v6. [para(20044(a,2),7896(a,1))]. given #18224 (H,wt=19): 20053 T(x,K(y,(z * u) * w)) = T(x,K(y,z * (u * w))). [para(14980(a,1),20048(a,1,2,2))]. given #18225 (H,wt=19): 20060 T(x,K(y,z * a(u,w,v5))) != v6 | T(x,K(y,z)) = v6. [para(16092(a,1),20049(a,1))]. given #18226 (H,wt=20): 20047 K(x,T(y,z * a(u,w,v5))) = K(x,y) * K(z,K(x,y)). [para(20043(a,1),7979(a,1,2)),flip(a)]. given #18227 (H,wt=16): 20064 K(x,T(y,z * a(u,w,v5))) = K(x,T(y,z)). [hyper(236,a,7979,a(flip),b,20047,a)]. given #18228 (H,wt=16): 20065 K(x,T(y,a(z,u,w) * v5)) = K(x,T(y,v5)). [hyper(16246,a,20064,a)]. given #18229 (H,wt=18): 20068 T(x,T(y,a(z,u,w) * v5)) = x * K(x,T(y,v5)). [para(20065(a,1),4887(a,2,2))]. given #18230 (H,wt=16): 20069 T(x,T(y,a(z,u,w) * v5)) = T(x,T(y,v5)). [hyper(236,a,4887,a,b,20068,a)]. given #18231 (H,wt=16): 20070 T(x,T(y,z * a(u,w,v5))) = T(x,T(y,z)). [hyper(16233,a,20069,a)]. given #18232 (H,wt=19): 20066 K(x,T(y,(z * u) * w)) = K(x,T(y,z * (u * w))). [para(91(a,1),20064(a,1,2,2))]. given #18233 (H,wt=19): 20072 T(x,T(y,(z * u) * w)) = T(x,T(y,z * (u * w))). [para(14980(a,1),20069(a,1,2,2))]. given #18234 (H,wt=19): 20076 T(x,T(y,z * (u \ w))) = T(x,T(y,z * (w * u))). [hyper(236,a,18599,a(flip),b,20072,a(flip)),flip(a)]. given #18235 (H,wt=19): 20077 T(x,T(y,(z \ u) * w)) = T(x,T(y,z * (w * u))). [hyper(18602,a,20076,a)]. given #18236 (H,wt=21): 20041 T(a(x,y,z) * u,K(w,v5)) = a(x,y,z) * T(u,K(w,v5)). [hyper(17721,a,20040,a),flip(a)]. given #18237 (H,wt=22): 20059 T(x,K(y,(z * u) * w)) != v5 | T(x,K(y,z * (u * w))) = v5. [para(14980(a,1),20049(a,1,2,2))]. given #18238 (H,wt=22): 20067 K(x,L(T(y,a(z,u,w) * v5),v6,v7)) = K(L(x,v6,v7),T(y,v5)). [hyper(11595,a,20065,a)]. given #18239 (H,wt=23): 20071 T(x,T(y \ (a(z,u,w) * v5),v5)) = T(x,(a(z,u,w) * v5) / y). [hyper(236,a,8364,a(flip),b,20069,a(flip))]. given #18240 (H,wt=23): 20078 T(x,T(y,T((z / u) \ w,K(u,z)))) = T(x,T(y,u * (w * z))). [hyper(236,a,17156,a,b,20077,a(flip)),flip(a)]. given #18241 (H,wt=19): 20081 T(x,T(y,(z / u) \ w)) = T(x,T(y,u * (w * z))). [hyper(16229,a,20078,a)]. given #18242 (H,wt=19): 20082 T(x,T(y,(z / u) * w)) = T(x,T(y,u * (w * z))). [hyper(16000,a,20081,a)]. given #18243 (H,wt=24): 20075 K(x,T(y,z * (u * (w \ 1)))) != v5 | K(x,T(y,w \ (z * u))) = v5. [para(20066(a,1),16379(a,1))]. given #18244 (H,wt=25): 20046 K(x * a(y,z,u),w) \ K(x,K(w,v5)) = K(w,T(x * a(y,z,u),v5)). [hyper(72,a,20043,a(flip),b,8039,a)]. given #18245 (H,wt=25): 20052 T(T(x,K(y,z)),y \ (a(u,w,v5) * z)) = T(x,(a(u,w,v5) * z) / y). [para(20048(a,1),9354(a,1,1))]. given #18246 (H,wt=25): 20056 T(T(x,K(y,z)),y * (a(u,w,v5) / z)) = T(x,(a(u,w,v5) / z) * y). [para(20051(a,1),16587(a,1,1))]. given #18247 (H,wt=25): 20057 T(T(x,K(y,z)),y * (z \ a(u,w,v5))) = T(x,(z \ a(u,w,v5)) * y). [para(20054(a,1),13064(a,1,1))]. given #18248 (H,wt=25): 20058 T(T(x,K(y,z)),(a(u,w,v5) \ y) \ z) = T(x,z / (a(u,w,v5) \ y)). [para(20055(a,1),9355(a,1,1))]. given #18249 (H,wt=25): 20073 K(L(x,y,z),T(u,w * (v5 * v6))) = K(x,L(T(u,(w * v5) * v6),y,z)). [hyper(11595,a,20066,a),flip(a)]. given #18250 (H,wt=25): 20079 T(a(x,y,z) * u,K(w,v5)) * K(w,v5) = (a(x,y,z) * K(w,v5)) * u. [para(20041(a,2),18778(a,1,1))]. given #18251 (H,wt=21): 20090 (a(x,y,z) * K(u,w)) * v5 = K(u,w) * (a(x,y,z) * v5). [hyper(8201,a,20079,a),flip(a)]. given #18252 (H,wt=21): 20091 (K(x,y) * a(z,u,w)) * v5 = K(x,y) * (a(z,u,w) * v5). [hyper(236,a,17720,a,b,20090,a(flip)),flip(a)]. given #18253 (H,wt=11): 20094 L(x,a(y,z,u),K(w,v5)) = x. [hyper(436,a,20091,a)]. given #18254 (H,wt=11): 20095 a(x,a(y,z,u),K(w,v5)) = 1. [hyper(71,a,20091,a,b,14668,a),flip(a)]. given #18255 (H,wt=13): 20092 K(x,L(y,a(z,u,w),v5)) = K(x,y). [hyper(19982,a,20091,a)]. given #18256 (H,wt=13): 20093 L(K(x,y),a(z,u,w),v5) = K(x,y). [hyper(15421,a,20091,a)]. given #18257 (H,wt=13): 20097 T(x,L(y,a(z,u,w),v5)) = T(x,y). [hyper(236,a,14677,a(flip),b,20094,a(flip)),flip(a)]. given #18258 (H,wt=16): 20100 a(x,a(y,z,u),K(w,v5)) * v6 != v7 | v7 = v6. [para(20095(a,2),75(a,1,1))]. given #18259 (H,wt=14): 20108 L(x,a(y,z,u),K(w,v5)) != v6 | v6 = x. [para(14671(a,1),20100(a,1))]. given #18260 (H,wt=16): 20107 K(x,L(y,a(z,u,w),v5)) != v6 | K(x,y) = v6. [para(11513(a,1),20100(a,1)),flip(b)]. given #18261 (H,wt=19): 20096 x / a(y,a(z,u,w),v5) = a(y,a(z,u,w),v5) \ x. [hyper(14684,a,20094,a),flip(a)]. given #18262 (H,wt=20): 20098 L(x * y,a(z,u,w),K(v5,v6)) != y * v7 | T(x,y) = v7. [para(20094(a,2),169(a,2)),flip(a)]. given #18263 (H,wt=20): 20101 K(x \ a(y,z,u),L(w,x,v5)) = K(x \ a(y,z,u),w). [hyper(11599,a,20092,a)]. given #18264 (H,wt=16): 20113 K(x \ a(y,x,x \ 1),z) = K(x \ 1,z). [hyper(18012,a,20101,a),flip(a)]. given #18265 (H,wt=20): 20111 K(x,L(y,R(z,u,u \ 1),z \ 1)) != w | K(x,y) = w. [para(18031(a,1),20107(a,1))]. given #18266 (H,wt=21): 20102 K(x,(y \ z) \ a(u,w,v5)) = K(x,z \ (y * a(u,w,v5))). [hyper(236,a,18824,a(flip),b,20092,a(flip)),flip(a)]. given #18267 (H,wt=21): 20103 K(x,(y * a(z,u,w)) \ v5) = K(x,a(z,u,w) \ (y \ v5)). [hyper(236,a,18805,a(flip),b,20092,a(flip))]. given #18268 (H,wt=21): 20104 K((x / y) / a(z,u,w),v5) = K(x / (a(z,u,w) * y),v5). [hyper(236,a,15374,a(flip),b,20092,a(flip))]. given #18269 (H,wt=21): 20105 K((x \ y) \ a(z,u,w),v5) = K(y \ (x * a(z,u,w)),v5). [hyper(236,a,6568,a(flip),b,20093,a(flip))]. given #18270 (H,wt=21): 20118 K(x,(a(y,z,u) * w) \ v5) = K(x,a(y,z,u) \ (w \ v5)). [hyper(236,a,18087,a,b,20103,a(flip)),flip(a)]. given #18271 (H,wt=21): 20120 K(x / (a(y,z,u) * w),v5) = K(a(y,z,u) \ (x / w),v5). [hyper(17719,a,20104,a),flip(a)]. given #18272 (H,wt=22): 20099 x / a(y,a(z,u,w),v5) != v6 | a(y,a(z,u,w),v5) \ x = v6. [para(20094(a,1),14684(a,1))]. given #18273 (H,wt=23): 20110 K(x \ a(y,z,u),L(w,x,v5)) != v6 | K(x \ a(y,z,u),w) = v6. [para(11565(a,1),20107(a,1))]. given #18274 (H,wt=23): 20116 K(x,(y * z) \ R(y,u,u \ 1)) = K(x,z \ a(y,u,u \ 1)). [hyper(20111,a,18823,a)]. given #18275 (H,wt=16): 20124 K(x,y \ a(z,y,y \ 1)) = K(x,y \ 1). [para(391(a,1),20116(a,1,2)),flip(a)]. given #18276 (H,wt=23): 20117 x * K(x,y \ (z * a(u,w,v5))) = T(x,(z \ y) \ a(u,w,v5)). [para(20102(a,1),4887(a,2,2)),flip(a)]. given #18277 (H,wt=21): 20127 T(x,(y \ z) \ a(u,w,v5)) = T(x,z \ (y * a(u,w,v5))). [hyper(4890,a,20117,a),flip(a)]. given #18278 (H,wt=23): 20119 K(x,a(y,z,u) \ (w \ T(v5,w))) = K(x,v5 / (a(y,z,u) * w)). [hyper(236,a,18467,a(flip),b,20103,a(flip))]. given #18279 (H,wt=21): 20129 K(x,y / (a(z,u,w) * v5)) = K(x,a(z,u,w) \ (y / v5)). [hyper(236,a,19294,a(flip),b,20119,a(flip))]. given #18280 (H,wt=21): 20130 K(x,y / (z * a(u,w,v5))) = K(x,a(u,w,v5) \ (y / z)). [hyper(236,a,18074,a(flip),b,20129,a(flip)),flip(a)]. given #18281 (H,wt=23): 20123 K(x,(y * z) \ L(y,u,u \ 1)) = K(x,z \ a(y,u,u \ 1)). [hyper(18571,a,20116,a)]. given #18282 (H,wt=23): 20125 K(x,x \ 1) * a(y,x,x \ 1) = x * (a(y,x,x \ 1) / x). [para(20124(a,1),4909(a,1,1))]. given #18283 (H,wt=23): 20126 a(x,y,y \ 1) * K(y,y \ 1) = y * (a(x,y,y \ 1) / y). [para(20124(a,1),5079(a,1,2))]. given #18284 (H,wt=23): 20131 x * K(x,a(y,z,u) \ (w / v5)) = T(x,w / (a(y,z,u) * v5)). [para(20129(a,1),4887(a,2,2)),flip(a)]. given #18285 (H,wt=21): 20139 T(x,y / (a(z,u,w) * v5)) = T(x,a(z,u,w) \ (y / v5)). [hyper(4890,a,20131,a),flip(a)]. given #18286 (H,wt=21): 20140 T(x,y / (z * a(u,w,v5))) = T(x,a(u,w,v5) \ (y / z)). [hyper(18152,a,20139,a)]. given #18287 (H,wt=23): 20133 K(x,y \ (z \ L(z,u,u \ 1))) = K(x,y \ a(z,u,u \ 1)). [hyper(236,a,18822,a(flip),b,20123,a(flip)),flip(a)]. given #18288 (H,wt=24): 20109 K(x,(y * a(z,u,w)) \ v5) != v6 | K(x,a(z,u,w) \ (y \ v5)) = v6. [para(227(a,1),20107(a,1,2))]. given #18289 (H,wt=24): 20112 K(x,(y \ z) \ a(u,w,v5)) != v6 | K(x,z \ (y * a(u,w,v5))) = v6. [para(18824(a,1),20107(a,1))]. given #18290 (H,wt=24): 20142 K(x,(a(y,z,u) * w) \ v5) != v6 | K(x,a(y,z,u) \ (w \ v5)) = v6. [para(18087(a,2),20109(a,1))]. given #18291 (H,wt=25): 20080 K(x,L(T(y,a(z,u,w) * v5),v6,v7)) != v8 | K(x,L(T(y,v5),v6,v7)) = v8. [para(20067(a,2),11595(a,1))]. given #18292 (H,wt=25): 20087 T(T(x,K(y,z)),y * (z \ a(u,w,v5))) = T(x,(a(u,w,v5) / z) * y). [hyper(236,a,19648,a(flip),b,20056,a(flip)),flip(a)]. given #18293 (H,wt=21): 20143 T(x,(a(y,z,u) / w) * v5) = T(x,(w \ a(y,z,u)) * v5). [hyper(236,a,20057,a(flip),b,20087,a(flip))]. given #18294 (H,wt=19): 20144 T(x,(y \ a(z,u,z)) * w) != v5 | T(x,y \ w) = v5. [para(20143(a,1),14824(a,1))]. given #18295 (H,wt=25): 20088 K(x,L(T(y,(z * u) * w),v5,v6)) = K(x,L(T(y,z * (u * w)),v5,v6)). [hyper(11595,a,20073,a),flip(a)]. given #18296 (H,wt=25): 20106 T(x,T((y * a(z,u,w)) \ v5,v6)) = T(x,T(a(z,u,w) \ (y \ v5),v6)). [para(509(a,1),20097(a,1,2))]. given #18297 (H,wt=25): 20114 K((a(x \ 1,x,y) \ z) / (u * z),w) = K(u \ a(y,x,x \ 1),w). [hyper(236,a,19826,a(flip),b,20101,a(flip)),flip(a)]. given #18298 (H,wt=25): 20134 (a(x,y,y \ 1) \ y) \ T(y,y \ 1) = y * (a(x,y,y \ 1) / y). [hyper(236,a,17883,a,b,20125,a(flip)),flip(a)]. given #18299 (H,wt=25): 20135 (x \ 1) * (x * (a(y,x,x \ 1) / x)) = (1 / x) * a(y,x,x \ 1). [para(20125(a,1),2946(a,1,2))]. given #18300 (H,wt=25): 20148 (a(x,y,y \ 1) \ y) \ ((y \ 1) \ 1) = y * (a(x,y,y \ 1) / y). [hyper(658,a,20134,a)]. given #18301 (H,wt=21): 20149 L(x,x \ 1,x * y) \ x = x * (a(y,x,x \ 1) / x). [hyper(236,a,18860,a(flip),b,20148,a(flip)),flip(a)]. given #18302 (H,wt=21): 20150 L(x,x \ 1,y * x) \ x = x * (a(y,x,x \ 1) / x). [para(13509(a,2),20149(a,1,1))]. given #18303 (H,wt=19): 20151 L(x,x \ 1,y * x) \ 1 = a(y,x,x \ 1) / x. [hyper(1221,a,20150,a)]. given #18304 (H,wt=19): 20152 a(x \ y,x,x \ 1) / x = L(x,x \ 1,y) \ 1. [para(13511(a,1),20151(a,1,1)),flip(a)]. given #18305 (H,wt=19): 20153 (L(x,x \ 1,y) \ 1) * x = a(x \ y,x,x \ 1). [para(20152(a,1),16(a,1,1))]. given #18306 (H,wt=22): 20156 a(x \ ((x \ 1) \ y),x,x \ 1) = (y \ (y / (x \ 1))) \ x. [hyper(236,a,11095,a,b,20153,a(flip))]. given #18307 (H,wt=26): 20086 K(x,T(y,z * (u * (w \ K(v5,v6))))) != v7 | K(x,T(y,w \ (z * u))) = v7. [para(17220(a,2),20075(a,1))]. given #18308 (H,wt=19): 20159 K(x,T(y,z \ (u * w))) = K(x,T(y,z * (w \ u))). [hyper(20086,a,19866,a)]. given #18309 (H,wt=19): 20160 K(x,T(y,z * (u \ w))) = K(x,T(y,z * (w * u))). [hyper(16373,a,20159,a),flip(a)]. given #18310 (H,wt=19): 20161 K(x,T(y,z * (u / w))) = K(x,T(y,z * (u * w))). [hyper(17146,a,20160,a)]. given #18311 (H,wt=27): 20128 T(x,K(y \ z,y) * ((z / y) \ a(u,w,v5))) = T(x,z \ (y * a(u,w,v5))). [hyper(15800,a,20127,a)]. given #18312 (H,wt=25): 20162 T(x,((y * (z / y)) / y) \ a(u,w,v5)) = T(x,z \ (y * a(u,w,v5))). [para(5511(a,1),20128(a,1,2))]. given #18313 (H,wt=27): 20138 x * (y * (a(y \ z,y,y \ 1) / y)) = x / ((1 / y) * L(y,y \ 1,z)). [para(20126(a,1),19033(a,1,2))]. given #18314 (H,wt=25): 20163 x / ((1 / y) * L(y,y \ 1,z)) = x * (y * (L(y,y \ 1,z) \ 1)). [para(20152(a,1),20138(a,1,2,2)),flip(a)]. given #18315 (H,wt=23): 20164 x / ((1 / y) * L(y,y \ 1,z)) = x * (L(y,y \ 1,z) \ y). [para(1211(a,1),20163(a,2,2))]. given #18316 (H,wt=21): 20165 x / (y \ L(y,y \ 1,z)) = x * (L(y,y \ 1,z) \ y). [para(4767(a,1),20164(a,1,2))]. given #18317 (H,wt=21): 20166 (x \ L(x,x \ 1,y)) \ z = z * (L(x,x \ 1,y) \ x). [hyper(13738,a,20165,a)]. given #18318 (H,wt=21): 20167 (x * (L(y,y \ 1,z) \ y)) \ x = y \ L(y,y \ 1,z). [para(20165(a,1),65(a,1,1))]. given #18319 (H,wt=23): 20168 (x * (L(y,y \ 1,x) \ y)) \ 1 = x \ (y \ L(y,y \ 1,x)). [para(20165(a,1),11769(a,1,1))]. given #18320 (H,wt=25): 20169 (x * (y * (a(z,y,y \ 1) / y))) \ x = y \ L(y,y \ 1,z * y). [para(20150(a,1),20167(a,1,1,2))]. given #18321 (H,wt=23): 20170 (x * (a(y,x,x \ 1) / x)) \ 1 = x \ L(x,x \ 1,y * x). [hyper(14514,a,20169,a)]. given #18322 (H,wt=28): 20061 T(x,K(y,(z * (u * (w * v5))) * a(u,w,v5))) = T(x,K(y,z * ((u * w) * v5))). [para(91(a,1),20053(a,2,2,2,2))]. given #18323 (H,wt=23): 20171 T(x,K(y,z * ((u * w) * v5))) = T(x,K(y,z * (u * (w * v5)))). [hyper(20060,a,20061,a),flip(a)]. given #18324 (H,wt=26): 20172 T(x,K(y,z * ((u * w) * v5))) != v6 | T(x,K(y,z * (u * (w * v5)))) = v6. [para(20061(a,1),20060(a,1))]. given #18325 (H,wt=28): 20089 K(x,L(T(y,(z * u) * w),v5,v6)) != v7 | K(x,L(T(y,z * (u * w)),v5,v6)) = v7. [para(20073(a,1),11595(a,1))]. given #18326 (H,wt=28): 20136 (x \ 1) * (x * (a(y,x,x \ 1) / x)) != z | (1 / x) * a(y,x,x \ 1) = z. [para(20125(a,1),5816(a,1,2))]. given #18327 (H,wt=28): 20137 (x * (a(y,x,x \ 1) / x)) \ 1 != z | a(y,x,x \ 1) \ K(x \ 1,x) = z. [para(20125(a,1),14519(a,1,1))]. given #18328 (H,wt=23): 20174 a(x,y,y \ 1) \ K(y \ 1,y) = y \ L(y,y \ 1,x * y). [hyper(20137,a,20170,a)]. given #18329 (H,wt=28): 20141 T(x,a(y,z,u) \ (((w * a(y,z,u)) * v5) / w)) = T(x,T(v5,w * a(y,z,u))). [hyper(8241,a,20140,a),flip(a)]. given #18330 (H,wt=23): 20176 T(x,a(y,z,u) \ (((w * a(y,z,u)) * v5) / w)) = T(x,T(v5,w)). [hyper(236,a,20070,a(flip),b,20141,a)]. given #18331 (H,wt=23): 20178 T(x,T((y * a(z,u,w)) \ v5,y)) = T(x,a(z,u,w) \ (v5 / y)). [para(14(a,1),20176(a,1,2,2,1)),flip(a)]. given #18332 (H,wt=23): 20179 T(x,T(a(y,z,u) \ (w \ v5),w)) = T(x,a(y,z,u) \ (v5 / w)). [hyper(236,a,20106,a(flip),b,20178,a(flip)),flip(a)]. given #18333 (H,wt=29): 20085 T(x,T(y \ T(z \ u,z),z * (y * u))) = T(x,(K(z,z \ u) * y) \ (z \ u)). [hyper(236,a,16893,a(flip),b,20082,a(flip))]. given #18334 (H,wt=30): 19967 K(x * (y \ z),T(R(y / x,x,y \ z),u)) = K(x * ((y \ z) * K(u,z)),y / x). [hyper(19938,a,18174,a),flip(a)]. given #18335 (H,wt=28): 20180 K(x * (y \ z),T(R(y / x,x,y \ z),u)) = K(x * (y \ T(z,u)),y / x). [hyper(236,a,18195,a(flip),b,19967,a)]. given #18336 (H,wt=28): 20181 K(x * (y \ z),R(T(y / x,u),x,y \ z)) = K(x * (y \ T(z,u)),y / x). [para(42(a,2),20180(a,1,2))]. given #18337 (H,wt=28): 20182 K(x * (y \ z),L(T(y / x,u),x,y \ z)) = K(x * (y \ T(z,u)),y / x). [hyper(15349,a,20181,a)]. given #18338 (H,wt=26): 20183 K(x * (y \ T(z,u)),y / x) != w | K(x * (y \ z),T(y / x,u)) = w. [para(20182(a,1),14574(a,1))]. given #18339 (H,wt=23): 20184 K(x \ (y * z),T(z \ x,u)) = K(z * (x \ y),T(x / z,u)). [hyper(20183,a,19912,a),flip(a)]. given #18340 (H,wt=23): 20185 K(x \ (y * z),T(x / y,u)) = K(y * (x \ z),T(x / y,u)). [hyper(16859,a,20184,a)]. given #18341 (H,wt=23): 20186 K(x * (y \ z),T(y / x,z * y)) = K(y \ (x * z),x \ y). [hyper(236,a,15982,a(flip),b,20185,a(flip))]. given #18342 (H,wt=19): 20187 K(x \ (y * z),y \ x) = K((x \ z) * y,x / y). [hyper(15988,a,20186,a),flip(a)]. given #18343 (H,wt=21): 20188 x * K((y \ x) * z,y / z) = ((z \ y) \ x) * (z \ y). [para(20187(a,1),10753(a,1,2))]. given #18344 (H,wt=21): 20190 x * K(y * (z \ x),y \ z) = ((y \ z) \ x) * (y \ z). [para(13396(a,2),20188(a,1,2))]. given #18345 (H,wt=23): 20189 K(x,y * K((z \ u) * w,z / w)) = K(x,K(w \ z,u) * y). [para(20187(a,1),18452(a,1,2,2))]. given #18346 (H,wt=23): 20192 K(x,y * K((z \ u) * w,w \ z)) = K(x,K(w \ z,u) * y). [hyper(16746,a,20189,a)]. given #18347 (H,wt=29): 20191 K((x \ y) * (y \ z),(x \ y) \ y) = z \ ((((x \ y) \ y) \ z) * T(x,x \ y)). [hyper(72,a,257,a,b,20190,a),flip(a)]. given #18348 (H,wt=21): 20193 K((x \ y) * (y \ z),(x \ y) \ y) = K(x \ z,T(x,y)). [hyper(236,a,10820,a(flip),b,20191,a)]. given #18349 (H,wt=19): 20194 K((x \ y) * (y \ z),T(x,y)) = K(x \ z,T(x,y)). [hyper(7814,a,20193,a)]. given #18350 (H,wt=17): 20195 K((x \ y) * (z \ x),z) = K(z \ y,T(z,x)). [hyper(13421,a,20194,a)]. given #18351 (H,wt=25): 20196 K((x * (y \ z)) \ z,T(x * (y \ z),y)) = K(x \ y,x * (y \ z)). [hyper(236,a,14409,a(flip),b,20195,a(flip))]. given #18352 (H,wt=25): 20197 K(x \ ((y \ z) \ z),T(x * (y \ z),y)) = K(x \ y,x * (y \ z)). [hyper(236,a,18983,a(flip),b,20196,a(flip)),flip(a)]. given #18353 (H,wt=23): 20198 K(x \ T(y,z),T(x * (y \ z),y)) = K(x \ y,x * (y \ z)). [hyper(236,a,13388,a(flip),b,20197,a(flip)),flip(a)]. given #18354 (H,wt=21): 20199 K(T(x,y) / z,z * (x \ y)) = K(z \ x,z * (x \ y)). [hyper(16216,a,20198,a)]. given #18355 (H,wt=21): 20200 K(x \ T(y,z),(y \ z) * x) = K(x \ y,x * (y \ z)). [hyper(13040,a,20199,a)]. given #18356 (H,wt=25): 20201 K(x \ T(y,z),(y \ T(z,u)) * x) = K(x \ y,x * (y \ T(z,u))). [hyper(236,a,16667,a(flip),b,20200,a(flip)),flip(a)]. given #18357 (H,wt=23): 20202 K(x \ T(y,z),(z / y) * x) = K(x \ y,x * (y \ T(z,y))). [hyper(236,a,18431,a(flip),b,20201,a(flip)),flip(a)]. given #18358 (H,wt=21): 20203 K(x \ T(y,z),(z / y) * x) = K(x \ y,x * (z / y)). [hyper(236,a,15756,a(flip),b,20202,a)]. given #18359 (H,wt=30): 20062 T(x,K(y,(z \ 1) * ((z * (u / z)) * w))) = T(x,K(y,(L(u,z \ 1,z) / z) * w)). [para(1636(a,1),20053(a,1,2,2,1)),flip(a)]. given #18360 (H,wt=27): 20204 T(x,K(y,(z \ 1) * ((z * (u / z)) * w))) = T(x,K(y,(u * (z \ 1)) * w)). [para(18517(a,1),20062(a,2,2))]. given #18361 (H,wt=27): 20205 T(x,K(y,(z \ 1) * ((z * (u / z)) * w))) = T(x,K(y,u * ((z \ 1) * w))). [hyper(236,a,20053,a(flip),b,20204,a)]. given #18362 (H,wt=25): 20206 T(x,K(y,(z \ 1) * (T(u,z) * w))) = T(x,K(y,u * ((z \ 1) * w))). [para(19575(a,1),20205(a,1,2))]. given #18363 (H,wt=23): 20207 T(x,K(y,z \ (T(u,z) * w))) = T(x,K(y,u * ((z \ 1) * w))). [para(14126(a,1),20206(a,1,2))]. given #18364 (H,wt=21): 20208 T(x,K(y,z * ((u \ 1) * w))) = T(x,K(y,u \ (z * w))). [hyper(236,a,18815,a(flip),b,20207,a(flip))]. given #18365 (H,wt=25): 20209 T(x,K(y,z * (u * ((w \ 1) * v5)))) = T(x,K(y,w \ ((z * u) * v5))). [hyper(20059,a,20208,a)]. given #18366 (H,wt=31): 19968 K(x,L((y * (z \ u)) / (u / z),w,v5)) = a(v5,w,K(y,x)) * K(x,y * K(z \ u,z)). [para(6482(a,2),19950(a,2,2,1)),flip(a)]. given #18367 (H,wt=29): 20211 K(x,L((y * (z \ u)) / (u / z),w,v5)) = a(v5,w,K(y,x)) * K(x,y * K(u,z)). [para(13079(a,1),19968(a,2,2))]. given #18368 (H,wt=25): 20212 K(x,L((y * (z \ u)) / (u / z),w,v5)) = K(x,L(y * K(u,z),w,v5)). [hyper(236,a,19950,a(flip),b,20211,a)]. given #18369 (H,wt=23): 20213 K(x,L(y * K(z \ u,z),w,v5)) = K(x,L(y * K(u,z),w,v5)). [para(6482(a,1),20212(a,1,2,1))]. given #18370 (H,wt=28): 20214 K(x,L((y / (z \ u)) * K(z,w),y,z \ u)) = K(x,y / (((w \ z) * w) \ u)). [hyper(236,a,15542,a(flip),b,20213,a(flip))]. given #18371 (H,wt=25): 20215 K(x,y / (((z \ u) * z) \ w)) = K(x,y / ((K(u,z) \ 1) * (u \ w))). [hyper(236,a,15429,a(flip),b,20214,a(flip))]. given #18372 (H,wt=23): 20216 K(x,y / (((z \ u) * z) \ w)) = K(x,y / (K(z,u) * (u \ w))). [para(5093(a,1),20215(a,2,2,2,1))]. given #18373 (H,wt=21): 20217 K(x,y / (((z \ u) * z) \ w)) = K(x,y / (T(u,z) \ w)). [para(5204(a,1),20216(a,2,2,2))]. given #18374 (H,wt=21): 20218 K(x,y / (T(z * u,z) \ w)) = K(x,y / ((u * z) \ w)). [para(13(a,1),20217(a,1,2,2,1,1)),flip(a)]. given #18375 (H,wt=25): 20219 K(x,K(y,y * z) * (u / ((y * z) \ w))) = K(x,u / ((z * y) \ w)). [hyper(19522,a,20218,a)]. given #18376 (H,wt=31): 19969 K(x,L((y * (z / u)) / (u \ z),w,v5)) = a(v5,w,K(y,x)) * K(x,y * K(u,u \ z)). [para(7860(a,2),19950(a,2,2,1)),flip(a)]. given #18377 (H,wt=29): 20221 K(x,L((y * (z / u)) / (u \ z),w,v5)) = a(v5,w,K(y,x)) * K(x,y * K(z,u)). [para(16345(a,1),19969(a,2,2))]. given #18378 (H,wt=25): 20222 K(x,L((y * (z / u)) / (u \ z),w,v5)) = K(x,L(y * K(z,u),w,v5)). [hyper(236,a,19950,a(flip),b,20221,a)]. given #18379 (H,wt=23): 20223 K(x,L(y * K(z,z \ u),w,v5)) = K(x,L(y * K(u,z),w,v5)). [para(7860(a,1),20222(a,1,2,1))]. given #18380 (H,wt=28): 20224 K(x,L((y / (z \ u)) * K(z,w),y,z \ u)) = K(x,y / ((w * (z / w)) \ u)). [hyper(236,a,15543,a(flip),b,20223,a(flip))]. given #18381 (H,wt=25): 20225 K(x,y / ((z * (u / z)) \ w)) = K(x,y / ((K(u,z) \ 1) * (u \ w))). [hyper(236,a,15429,a(flip),b,20224,a(flip))]. given #18382 (H,wt=23): 20226 K(x,y / ((z * (u / z)) \ w)) = K(x,y / (K(z,u) * (u \ w))). [para(5093(a,1),20225(a,2,2,2,1))]. given #18383 (H,wt=21): 20227 K(x,y / ((z * (u / z)) \ w)) = K(x,y / (T(u,z) \ w)). [para(5204(a,1),20226(a,2,2,2))]. given #18384 (H,wt=21): 20228 K(x,y / (T(z * u,u) \ w)) = K(x,y / ((u * z) \ w)). [para(15(a,1),20227(a,1,2,2,1,2)),flip(a)]. given #18385 (H,wt=19): 20229 K(x,y / (z / (u * z))) = K(x,y / ((z * u) \ z)). [hyper(19478,a,20228,a)]. given #18386 (H,wt=31): 20045 T(K(x,K(y,z)) * u,K(y,K(z,a(w,v5,v6) * x))) / u = K(y,K(z,x * a(w,v5,v6))). [para(20042(a,1),16390(a,1,1,1,1))]. given #18387 (H,wt=31): 20063 T(x,K(y,(z * (u \ 1)) * (T(w,z / u) * v5))) = T(x,K(y,(w * (z * (u \ 1))) * v5)). [para(14253(a,1),20053(a,1,2,2,1)),flip(a)]. given #18388 (H,wt=31): 20155 (L(x \ 1,(x \ 1) \ 1,y) \ 1) * (x \ 1) = a((x \ 1) \ y,x \ 1,(1 / x) \ 1). [hyper(236,a,11932,a,b,20153,a)]. given #18389 (H,wt=27): 20232 a((x \ 1) \ y,x \ 1,(1 / x) \ 1) = (L(x \ 1,x,y) \ 1) * (x \ 1). [para(6999(a,1),20155(a,1,1,1)),flip(a)]. given #18390 (H,wt=25): 20233 a((x \ 1) \ y,x \ 1,(1 / x) \ 1) = L(x \ 1,x,y) \ (1 / x). [hyper(236,a,14365,a(flip),b,20232,a)]. given #18391 (H,wt=21): 20234 a((x \ 1) \ y,x \ 1,x) = L(x \ 1,x,y) \ (1 / x). [para(65(a,1),20233(a,1,3))]. given #18392 (H,wt=23): 20235 a((x \ 1) \ y,x \ 1,x) / (1 / x) = L(1 / x,x,y) \ 1. [hyper(74,a,20234,a,b,6964,a)]. given #18393 (H,wt=23): 20236 L(1 / x,x,y * (x \ 1)) \ 1 = a(y,x \ 1,x) / (1 / x). [para(14785(a,1),20235(a,1,1)),flip(a)]. given #18394 (H,wt=31): 20230 T(K(x,K(y,z)) * u,K(x,K(y,a(w,v5,v6) * z))) / u = K(x,K(y,z * a(w,v5,v6))). [para(7923(a,2),20045(a,1,1,1,1))]. given #18395 (H,wt=20): 20237 K(x,K(y,z * a(u,w,v5))) = (K(x,K(y,z)) * v6) / v6. [para(16109(a,1),20230(a,1,1)),flip(a)]. given #18396 (H,wt=16): 20238 K(x,K(y,z * a(u,w,v5))) = K(x,K(y,z)). [hyper(236,a,16387,a(flip),b,20237,a)]. given #18397 (H,wt=19): 20240 K(x,K(y,(z * u) * w)) = K(x,K(y,z * (u * w))). [para(91(a,1),20238(a,1,2,2))]. given #18398 (H,wt=19): 20241 K(x,K(y,(z / u) * (w * z))) = K(x,K(y,u \ w)). [hyper(18025,a,20240,a),flip(a)]. given #18399 (H,wt=19): 20242 K(x,K(y,(z \ u) * w)) = K(x,K(y,z * (w * u))). [hyper(236,a,17907,a,b,20240,a(flip)),flip(a)]. given #18400 (H,wt=19): 20244 K(x,K(y,z * (u * (z * w)))) = K(x,K(y,w \ u)). [para(15(a,1),20241(a,1,2,2,1))]. given #18401 (H,wt=19): 20246 K(x,K(y,z * (u * (z * w)))) = K(x,K(y,u * w)). [hyper(236,a,16504,a(flip),b,20244,a)]. given #18402 (H,wt=28): 20247 K(x,K(y,a(z,u,w) * (v5 * ((z * u) * w)))) = K(x,K(y,v5 * (z * (u * w)))). [para(14980(a,1),20246(a,1,2,2,2,2))]. given #18403 (H,wt=23): 20248 K(x * ((y * z) * u),K(w,v5)) = K(w,K(v5,x * (y * (z * u)))). [hyper(236,a,20042,a(flip),b,20247,a(flip)),flip(a)]. given #18404 (H,wt=23): 20249 K(x,K(y,z * ((u * w) * v5))) = K(x,K(y,z * (u * (w * v5)))). [hyper(7960,a,20248,a)]. given #18405 (H,wt=19): 20251 K(x,K(y,z * (u * (w * z)))) = K(x,K(y,u * w)). [hyper(16509,a,20249,a),flip(a)]. given #18406 (H,wt=29): 20243 K(x,K(y,z * (u * w))) * K(x,y * ((z * u) \ w)) = K(x,((z * u) \ w) * y). [para(20240(a,1),16506(a,1,1))]. given #18407 (H,wt=29): 20245 K(x,y * ((z \ u) * w)) / K(x,K(y,z * (w * u))) = K(x,((z \ u) * w) * y). [para(20242(a,1),13245(a,1,2))]. given #18408 (H,wt=31): 20231 T(x,K(y,(z * (u \ 1)) * (T(w,z / u) * v5))) = T(x,K(y,w * ((z * (u \ 1)) * v5))). [hyper(236,a,20053,a(flip),b,20063,a)]. given #18409 (H,wt=31): 20255 T(x,K(y,(z * (u \ 1)) * (T(w,z / u) * v5))) = T(x,K(y,w * (z * ((u \ 1) * v5)))). [hyper(236,a,20171,a(flip),b,20231,a)]. given #18410 (H,wt=27): 20256 T(x,K(y,(z * (u \ 1)) * (w * v5))) = T(x,K(y,w * (z * ((u \ 1) * v5)))). [hyper(236,a,17012,a(flip),b,20255,a(flip)),flip(a)]. given #18411 (H,wt=27): 20257 T(x,K(y,z * ((u \ 1) * (w * v5)))) = T(x,K(y,w * (z * ((u \ 1) * v5)))). [hyper(20059,a,20256,a)]. given #18412 (H,wt=25): 20259 T(x,K(y,z * (u * ((w \ 1) * v5)))) = T(x,K(y,w \ (u * (z * v5)))). [hyper(236,a,20208,a(flip),b,20257,a(flip))]. given #18413 (H,wt=23): 20260 T(x,K(y,z \ ((u * w) * v5))) = T(x,K(y,z \ (w * (u * v5)))). [hyper(236,a,20209,a(flip),b,20259,a(flip)),flip(a)]. given #18414 (H,wt=23): 20261 T(x,K(y,z \ ((u * w) \ v5))) = T(x,K(y,v5 \ (u * (w * z)))). [hyper(236,a,19547,a,b,20260,a(flip)),flip(a)]. given #18415 (H,wt=32): 19930 K(x,L(K(y,z) * (z / (u / w)),z * K(y,z),z \ u)) = K(x,(z * (K(y,z) * w)) / u). [hyper(236,a,19062,a(flip),b,19927,a(flip))]. given #18416 (H,wt=32): 19949 a(x,T(y,z),K(u,w)) * K(x,(w * T(y,z)) \ (y * u)) = K(x,T(y,z) \ (w \ (y * u))). [para(19942(a,1),18875(a,1,1))]. given #18417 (H,wt=32): 20115 K((x \ T(1,y)) \ a(z,x \ T(1,y),(x \ T(1,y)) \ 1),u) = K(K(y,1) * x,T(u,1)). [hyper(14482,a,20113,a(flip)),flip(a)]. given #18418 (H,wt=30): 20264 K((x \ 1) \ a(y,x \ T(1,z),(x \ T(1,z)) \ 1),u) = K(K(z,1) * x,T(u,1)). [para(147(a,1),20115(a,1,1,1,2))]. given #18419 (H,wt=28): 20265 K((x \ 1) \ a(y,x \ 1,(x \ T(1,z)) \ 1),u) = K(K(z,1) * x,T(u,1)). [para(147(a,1),20264(a,1,1,2,2,2))]. given #18420 (H,wt=26): 20267 K((x \ 1) \ a(y,x \ 1,(x \ 1) \ 1),z) = K(K(u,1) * x,T(z,1)). [para(147(a,1),20265(a,1,1,2,3,1,2))]. given #18421 (H,wt=22): 20270 K((x \ 1) \ a(y,x \ 1,x),z) = K(K(u,1) * x,T(z,1)). [para(11929(a,1),20267(a,1,1,2))]. given #18422 (H,wt=20): 20271 K(K(x,1) * y,T(z,1)) = K(y * a(u,y \ 1,y),z). [hyper(14636,a,20270,a),flip(a)]. given #18423 (H,wt=16): 20272 K(x * a(y,x \ 1,x),z) = K(x,T(z,1)). [hyper(16295,a,20271,a),flip(a)]. given #18424 (H,wt=14): 20273 K(x * a(y,x \ 1,x),z) = K(x,z). [para(145(a,1),20272(a,2,2))]. given #18425 (H,wt=22): 20274 K(x,T(y * a(z,y \ 1,y),u)) = K(y,x) \ K(y,K(x,u)). [para(20273(a,1),20046(a,1,1)),flip(a)]. given #18426 (H,wt=22): 20275 K(x,T(y * a(z,y \ 1,y),u)) = K(x,y) * K(y,K(x,u)). [hyper(236,a,5260,a(flip),b,20274,a)]. given #18427 (H,wt=18): 20276 K(x,T(y * a(z,y \ 1,y),u)) = K(x,T(y,u)). [hyper(236,a,7956,a(flip),b,20275,a)]. given #18428 (H,wt=33): 19985 K(x,L(y,(z * K(u,w)) * (K(w,u) * v5),L(v5,K(w,u),z))) = K(x,L(y,z,L(v5,K(w,u),z))). [para(19983(a,2),15471(a,1,2,2))]. given #18429 (H,wt=28): 20277 K(x,L(y,(z * K(u,w)) * (K(w,u) * v5),v5)) = K(x,L(y,z,L(v5,K(w,u),z))). [hyper(19349,a,19985,a)]. given #18430 (H,wt=22): 20279 K(x,L(y,z,L(u,K(w,v5),z))) = K(x,L(y,z * K(v5,w),u)). [hyper(236,a,19965,a(flip),b,20277,a(flip))]. given #18431 (H,wt=17): 20280 K(x,L(y,z * K(u,w),v5)) = K(x,L(y,z,v5)). [hyper(19349,a,20279,a),flip(a)]. given #18432 (H,wt=15): 20286 K(x,L(y,T(z,u),w)) = K(x,L(y,z,w)). [para(4836(a,1),20280(a,1,2,2)),flip(a)]. given #18433 (H,wt=19): 20288 K(x,L(y,z \ K(u,w),v5)) = K(x,L(y,z \ 1,v5)). [para(14046(a,1),20280(a,1,2,2))]. given #18434 (H,wt=19): 20292 a(x,T(y,z),K(u,w)) * K(u,L(w,y,x)) = K(u,w). [para(20286(a,1),11501(a,1,2))]. given #18435 (H,wt=15): 20295 a(x,T(y,z),K(u,w)) = a(x,y,K(u,w)). [hyper(11524,a,20292,a),flip(a)]. given #18436 (H,wt=20): 20282 K(x,L(y,z * K(u,w),v5)) != v6 | K(x,L(y,z,v5)) = v6. [para(20279(a,1),19349(a,1))]. given #18437 (H,wt=18): 20300 K(x,L(y,T(z,u),w)) != v5 | K(x,L(y,z,w)) = v5. [para(4887(a,2),20282(a,1,2,2))]. given #18438 (H,wt=20): 20299 K(x,L(y,z * (u / z),w)) != v5 | K(x,L(y,u,w)) = v5. [para(250(a,1),20282(a,1,2,2))]. given #18439 (H,wt=20): 20301 K(x,L(y,z / u,w)) != v5 | K(x,L(y,u \ z,w)) = v5. [para(4903(a,1),20282(a,1,2,2))]. given #18440 (H,wt=20): 20302 K(x,L(y,K(z,u) * w,v5)) != v6 | K(x,L(y,w,v5)) = v6. [para(7249(a,1),20282(a,1,2,2))]. given #18441 (H,wt=22): 20303 K(x,L(y,T(z,u) \ w,v5)) != v6 | K(x,L(y,z \ w,v5)) = v6. [para(8578(a,1),20282(a,1,2,2))]. given #18442 (H,wt=22): 20304 K(x,L(y,z \ K(u,w),v5)) != v6 | K(x,L(y,z \ 1,v5)) = v6. [para(14046(a,1),20282(a,1,2,2))]. given #18443 (H,wt=23): 20294 a(x,y \ K(z,u),K(w,v5)) = K(x,L(v5,y \ 1,w)) * K(v5,x). [para(20288(a,1),14000(a,1,1)),flip(a)]. given #18444 (H,wt=19): 20307 a(x,y \ K(z,u),K(w,v5)) = a(x,y \ 1,K(w,v5)). [hyper(236,a,14000,a(flip),b,20294,a)]. given #18445 (H,wt=21): 20308 T(x,a(y,z \ K(u,w),v5)) = x * a(x,z \ 1,K(v5,y)). [para(20307(a,1),14033(a,1,2)),flip(a)]. given #18446 (H,wt=19): 20309 T(x,a(y,z \ K(u,w),v5)) = T(x,a(y,z \ 1,v5)). [hyper(236,a,14033,a(flip),b,20308,a)]. given #18447 (H,wt=19): 20310 L(x,y \ K(z,u),K(w,v5)) = T(x,a(v5,y \ 1,w)). [hyper(14749,a,20309,a)]. given #18448 (H,wt=19): 20311 L(x,y \ K(z,u),K(w,v5)) = L(x,y \ 1,K(w,v5)). [hyper(236,a,14670,a,b,20310,a)]. given #18449 (H,wt=21): 20312 L(x,(y \ 1) \ 1,K(z,u)) = L(x,y * K(w,v5),K(z,u)). [hyper(236,a,14163,a(flip),b,20311,a(flip))]. given #18450 (H,wt=17): 20313 L(x,y * K(z,u),K(w,v5)) = L(x,y,K(w,v5)). [hyper(236,a,6999,a(flip),b,20312,a(flip))]. given #18451 (H,wt=15): 20317 L(x,T(y,z),K(u,w)) = L(x,y,K(u,w)). [para(4836(a,1),20313(a,1,2)),flip(a)]. given #18452 (H,wt=17): 20314 L(x,K(y,z) * u,K(w,v5)) = L(x,u,K(w,v5)). [hyper(236,a,18651,a,b,20313,a(flip)),flip(a)]. given #18453 (H,wt=17): 20315 L(x,y * z,K(u,w)) = L(x,z * y,K(u,w)). [para(95(a,1),20313(a,1,2))]. given #18454 (H,wt=15): 20322 L(x,y * z,K(z,u)) = L(x,y,K(z,u)). [hyper(14753,a,20315,a),flip(a)]. given #18455 (H,wt=18): 20323 L(x,y * z,K(z,u)) != w | L(x,y,K(z,u)) = w. [para(20315(a,1),14753(a,1))]. given #18456 (H,wt=19): 20316 L(x,y * T(z,u),K(w,v5)) = L(x,y * z,K(w,v5)). [para(1251(a,1),20313(a,1,2))]. given #18457 (H,wt=19): 20321 T(x,L(y,K(z,u) * w,v5)) = L(T(x,y),w,K(v5,y)). [hyper(236,a,14677,a(flip),b,20314,a(flip)),flip(a)]. given #18458 (H,wt=17): 20326 T(x,L(y,K(z,u) * w,v5)) = T(x,L(y,w,v5)). [hyper(236,a,14677,a(flip),b,20321,a)]. given #18459 (H,wt=17): 20327 T(x,L(y,z * u,w)) = T(x,L(y,u * z,w)). [para(4817(a,1),20326(a,1,2,2))]. given #18460 (H,wt=17): 20328 T(x,L(y,z / u,w)) = T(x,L(y,u \ z,w)). [para(4927(a,1),20326(a,1,2,2))]. given #18461 (H,wt=19): 20329 T(x,L(y,T(z,u) \ w,v5)) = T(x,L(y,z \ w,v5)). [para(5178(a,1),20326(a,1,2,2)),flip(a)]. given #18462 (H,wt=22): 20325 L(x,y * L(z,u,K(w,v5)),K(v6,v7)) = L(x,y * z,K(v6,v7)). [para(14670(a,2),20316(a,1,2,2))]. given #18463 (H,wt=24): 20291 K(x,L(T(y,z) / (u / w),y,y \ u)) = K(x,(T(y,z) * w) / u). [hyper(236,a,19940,a(flip),b,20286,a(flip))]. given #18464 (H,wt=24): 20293 (T(x,y) * z) * K(u,L(w,x,z)) = z * (T(T(x,y),z) * K(u,w)). [para(20286(a,1),11506(a,1,2))]. given #18465 (H,wt=25): 20331 (K(x,y) * z) * (T(x,z) * K(u,w)) = z * (T(T(x,y),z) * K(u,w)). [hyper(236,a,19933,a,b,20293,a(flip)),flip(a)]. given #18466 (H,wt=25): 20332 (x * K(y,T(z,x * u))) * u = u * (T(T(x,K(y,z)),u) * K(y,z)). [hyper(236,a,18603,a(flip),b,20331,a(flip)),flip(a)]. given #18467 (H,wt=28): 20285 K(x,L(K(y,z) * (z / (u / w)),z,z \ u)) = K(x,(z * (K(y,z) * w)) / u). [hyper(236,a,19930,a(flip),b,20280,a(flip))]. given #18468 (H,wt=26): 20335 K(x,L(T(y,z) / (u / w),y,y \ u)) = K(x,(y * (K(z,y) * w)) / u). [hyper(236,a,18392,a(flip),b,20285,a(flip)),flip(a)]. given #18469 (H,wt=21): 20336 K(x,(y * (K(z,y) * u)) / w) = K(x,(T(y,z) * u) / w). [hyper(236,a,20291,a(flip),b,20335,a(flip))]. given #18470 (H,wt=21): 20337 K(x,(y * z) * (u \ K(w,y))) = K(x,(T(y,w) * z) / u). [hyper(19405,a,20336,a)]. given #18471 (H,wt=21): 20338 K(x,((y * (z / y)) * u) / w) = K(x,(T(z,y) * u) / w). [hyper(236,a,19502,a,b,20337,a(flip)),flip(a)]. given #18472 (H,wt=21): 20339 K(x,(T(y * z,z) * u) / w) = K(x,((z * y) * u) / w). [para(15(a,1),20338(a,1,2,1,1,2)),flip(a)]. given #18473 (H,wt=23): 20340 K(x,K(y,z) * (((z * y) * u) / w)) = K(x,((y * z) * u) / w). [hyper(19487,a,20339,a)]. given #18474 (H,wt=21): 20341 K(x,(T(y * z,y) * u) / w) = K(x,((z * y) * u) / w). [hyper(236,a,19486,a(flip),b,20340,a(flip)),flip(a)]. given #18475 (H,wt=29): 20289 K(x,L(y,a(z \ 1,z,u) \ K(w,v5),v6)) = K(x,L(y,u \ L(u,z,z \ 1),v6)). [para(19789(a,1),20280(a,1,2,2))]. given #18476 (H,wt=30): 20298 a(x,y,K(z,u)) * K(x,(u * T(y,w)) \ (y * z)) = K(x,T(y,w) \ (u \ (y * z))). [para(20295(a,1),19949(a,1,1))]. given #18477 (H,wt=30): 20305 K(x,L(T(y,z \ 1) \ u,z \ y,z \ 1)) = K(x,(y * ((z \ y) / y)) \ (z \ u)). [hyper(20299,a,18810,a)]. given #18478 (H,wt=28): 20345 K(x,L(T(y,z \ 1) \ u,y,z \ 1)) = K(x,(y * ((z \ y) / y)) \ (z \ u)). [hyper(236,a,18029,a(flip),b,20305,a(flip)),flip(a)]. given #18479 (H,wt=27): 20346 K(x,(y * (z \ 1)) \ ((z \ 1) * u)) = K(x,(y * ((z \ y) / y)) \ (z \ u)). [para(11119(a,1),20345(a,1,2))]. given #18480 (H,wt=25): 20347 K(x,T(y \ z,z) \ (y \ u)) = K(x,(z * (y \ 1)) \ ((y \ 1) * u)). [hyper(236,a,15766,a(flip),b,20346,a),flip(a)]. given #18481 (H,wt=23): 20348 K(x,(y * (z \ 1)) \ ((z \ 1) * u)) = K(x,(y / z) \ (z \ u)). [hyper(236,a,15700,a(flip),b,20347,a(flip))]. given #18482 (H,wt=30): 20306 K(x,L(T(((y \ z) \ 1) \ y,y),y,u)) = K(x,(u * ((y \ z) \ 1)) \ (u * T(y,z))). [hyper(20299,a,17336,a)]. given #18483 (H,wt=28): 20349 K(x,L(y / ((y \ z) \ 1),y,u)) = K(x,(u * ((y \ z) \ 1)) \ (u * T(y,z))). [hyper(236,a,11370,a(flip),b,20306,a(flip)),flip(a)]. given #18484 (H,wt=26): 20350 K(x,L(y * (y \ z),y,u)) = K(x,(u * ((y \ z) \ 1)) \ (u * T(y,z))). [hyper(15228,a,20349,a)]. given #18485 (H,wt=22): 20351 K(x,(y * ((z \ u) \ 1)) \ (y * T(z,u))) = K(x,L(u,z,y)). [para(14(a,1),20350(a,1,2,1)),flip(a)]. given #18486 (H,wt=30): 20318 ((x / (y * z)) * (y * T(z,u))) * ((y * K(z,u)) \ y) = y * L(y \ x,y,K(u,z)). [para(20313(a,1),15610(a,2,2))]. given #18487 (H,wt=28): 20352 ((x / y) * (y * K(z,u))) * ((y * K(z,u)) \ y) = y * L(y \ x,y,K(u,z)). [para(14942(a,1),20318(a,1,1))]. given #18488 (H,wt=24): 20354 ((x / y) * (y * K(z,u))) * K(u,z) = y * L(y \ x,y,K(u,z)). [para(7549(a,1),20352(a,1,2))]. given #18489 (H,wt=30): 20320 L(x,(a(y,z,u) * w) * v5,K(v6,a(y,z,u) * v5)) = L(x,w,K(v6,a(y,z,u) * v5)). [hyper(236,a,18772,a,b,20317,a(flip)),flip(a)]. given #18490 (H,wt=30): 20342 K(x,L(y,z \ L(z,u,u \ 1),w)) != v5 | K(x,L(y,a(u \ 1,u,z) \ 1,w)) = v5. [para(20289(a,1),20304(a,1))]. given #18491 (H,wt=30): 20343 a(x,y,K(z,u)) * K(u,(z * T(y,w)) \ (y * x)) = K(u,T(y,w) \ (z \ (y * x))). [hyper(14351,a,20298,a)]. given #18492 (H,wt=30): 20358 a(x,y,K(z,u)) * K(u,(z * y) \ (T(y,w) * x)) = K(u,T(y,w) \ (z \ (y * x))). [para(19316(a,1),20343(a,1,2))]. given #18493 (H,wt=33): 20084 T(x,T(((y \ z) \ u) \ K(y \ z,y),y * (u * z))) = T(x,((y \ z) \ u) \ K(y \ z,y)). [hyper(236,a,16016,a(flip),b,20081,a(flip))]. given #18494 (H,wt=29): 20359 T(x,T(y \ T(z \ u,z),z * (y * u))) = T(x,((z \ u) \ y) \ K(z \ u,z)). [hyper(236,a,14544,a(flip),b,20084,a(flip)),flip(a)]. given #18495 (H,wt=27): 20360 T(x,T(y \ T(z \ u,z),z * (y * u))) = T(x,((z \ u) \ y) \ K(u,z)). [hyper(236,a,16399,a(flip),b,20359,a)]. given #18496 (H,wt=27): 20361 T(x,T(y \ T(z \ u,z),z * (y * u))) = T(x,(y \ (z \ u)) * K(u,z)). [hyper(236,a,17278,a(flip),b,20360,a)]. given #18497 (H,wt=25): 20362 T(x,T(y \ T(z \ u,z),z * (y * u))) = T(x,y \ (T(z,u) \ u)). [hyper(236,a,18335,a(flip),b,20361,a)]. given #18498 (H,wt=23): 20363 T(x,(K(y,y \ z) * u) \ (y \ z)) = T(x,u \ (T(y,z) \ z)). [hyper(236,a,20085,a(flip),b,20362,a(flip)),flip(a)]. given #18499 (H,wt=19): 20364 T(x,y \ T(z \ u,z)) = T(x,y \ (T(z,u) \ u)). [para(14472(a,1),20363(a,1,2))]. given #18500 (H,wt=17): 20365 T(x,y \ (T(z,u) \ u)) = T(x,y \ (u / z)). [hyper(15747,a,20364,a),flip(a)]. given #18501 (H,wt=33): 20145 K(x,L(T(y,(z \ K(u,z \ 1)) * (u * w)),v5,v6)) = K(x,L(T(y,(u * (z \ 1)) * w),v5,v6)). [para(5071(a,1),20088(a,1,2,1,2,1)),flip(a)]. given #18502 (H,wt=33): 20220 K(x,K(y,K(z,u * K(y,z))) * (w / ((K(y,z) * u) \ v5))) = K(x,w / ((u * K(y,z)) \ v5)). [para(16071(a,1),20219(a,1,2,1))]. given #18503 (H,wt=29): 20367 K(x,K(y,K(z,u)) * (w / ((K(y,z) * u) \ v5))) = K(x,w / ((u * K(y,z)) \ v5)). [para(7459(a,1),20220(a,1,2,1,2))]. given #18504 (H,wt=33): 20252 K(x,K(y,z * (u * w))) * K(x,y * ((z * T(u,v5)) \ w)) = K(x,((z * T(u,v5)) \ w) * y). [para(17099(a,1),20243(a,1,1))]. given #18505 (H,wt=33): 20333 ((K(x,y) * z) * K(y,T(x,(K(x,y) * z) * u))) * u = u * (T(z / K(y,x),u) * K(y,x)). [para(8203(a,1),20332(a,2,2,1,1))]. given #18506 (H,wt=29): 20370 ((K(x,y) * z) * K(y,T(x,z * u))) * u = u * (T(z / K(y,x),u) * K(y,x)). [para(15412(a,1),20333(a,1,1,2,2))]. given #18507 (H,wt=29): 20371 (K(x,y) * (z * K(y,T(x,z * u)))) * u = u * (T(z / K(y,x),u) * K(y,x)). [para(7421(a,1),20370(a,1,1))]. given #18508 (H,wt=29): 20373 T(x * K(y,K(z,x * u)),K(y,z)) * u = u * (T(x / K(y,z),u) * K(y,z)). [para(18298(a,2),20371(a,1,1))]. given #18509 (H,wt=29): 20374 T(x,K(y,z)) * (u * K(y,K(z,x * u))) = u * (T(x / K(y,z),u) * K(y,z)). [hyper(236,a,17927,a(flip),b,20373,a(flip)),flip(a)]. given #18510 (H,wt=25): 20375 x * (T(y / K(z,u),x) * K(z,u)) = T(T(y,K(z,u)) * x,K(z,u)). [hyper(236,a,17078,a(flip),b,20374,a(flip))]. given #18511 (H,wt=25): 20376 x * (T(y * K(z,u),x) * K(u,z)) = T(T(y,K(u,z)) * x,K(u,z)). [para(7547(a,1),20375(a,1,2,1,1))]. given #18512 (H,wt=25): 20377 x * (K(y,z) * T(K(z,y) * u,x)) = T(T(u,K(y,z)) * x,K(y,z)). [para(7541(a,1),20376(a,1,2))]. given #18513 (H,wt=33): 20366 K(x,L(T(y,(z \ K(u,z \ 1)) * (u * w)),v5,v6)) = K(x,L(T(y,u * ((z \ 1) * w)),v5,v6)). [hyper(236,a,20088,a(flip),b,20145,a)]. given #18514 (H,wt=34): 20121 K(x,a(y,z,u) \ ((w \ 1) \ v5)) != v6 | K(x,L(w * (a(y,z,u) \ v5),v5,a(u,z,y) \ 1)) = v6. [para(20118(a,1),18346(a,1))]. given #18515 (H,wt=34): 20132 K(x,a(y,z,u) \ (((w / v5) * a(y,z,u)) / (v5 \ 1))) != v6 | K(x,L(w,v5 \ 1,a(y,z,u))) = v6. [para(20130(a,1),15480(a,1))]. given #18516 (H,wt=34): 20146 K(x,L(T(y,a(z,u,w) * ((z * (u * w)) * v5)),v6,v7)) = K(x,L(T(y,((z * u) * w) * v5),v6,v7)). [para(14980(a,1),20088(a,1,2,1,2,1)),flip(a)]. given #18517 (H,wt=34): 20378 K(x,L(T(y,a(z,u,w) * ((z * (u * w)) * v5)),v6,v7)) = K(x,L(T(y,(z * u) * (w * v5)),v6,v7)). [hyper(236,a,20088,a(flip),b,20146,a)]. given #18518 (H,wt=34): 20379 K(x,L(T(y,a(z,u,w) * ((z * (u * w)) * v5)),v6,v7)) = K(x,L(T(y,z * (u * (w * v5))),v6,v7)). [hyper(236,a,20088,a(flip),b,20378,a)]. given #18519 (H,wt=29): 20380 K(x,L(T(y,(z * (u * w)) * v5),v6,v7)) = K(x,L(T(y,z * (u * (w * v5))),v6,v7)). [hyper(20080,a,20379,a)]. given #18520 (H,wt=29): 20381 K(x,L(T(y,z * ((u * w) * v5)),v6,v7)) = K(x,L(T(y,z * (u * (w * v5))),v6,v7)). [hyper(20089,a,20380,a)]. given #18521 (H,wt=29): 20382 K(x,L(T(y,z * ((u \ w) * (u * v5))),v6,v7)) = K(x,L(T(y,z * (w * v5)),v6,v7)). [hyper(236,a,17195,a(flip),b,20381,a(flip))]. given #18522 (H,wt=29): 20383 K(x,L(T(y,z * ((u \ w) * v5)),v6,v7)) = K(x,L(T(y,z * (w * (u \ v5))),v6,v7)). [para(14(a,1),20382(a,1,2,1,2,2,2))]. given #18523 (H,wt=33): 20384 K(x,L(T(y,(z \ K(u,z \ 1)) * (u * w)),v5,v6)) = K(x,L(T(y,u * (1 * (z \ w))),v5,v6)). [hyper(236,a,20366,a,b,20383,a(flip)),flip(a)]. given #18524 (H,wt=31): 20385 K(x,L(T(y,(z \ K(u,z \ 1)) * (u * w)),v5,v6)) = K(x,L(T(y,u * (z \ w)),v5,v6)). [para(11(a,1),20384(a,2,2,1,2,2))]. given #18525 (H,wt=31): 20386 K(x,L(T(y,K(z,u \ 1) * (u \ (z * w))),v5,v6)) = K(x,L(T(y,z * (u \ w)),v5,v6)). [para(19301(a,1),20385(a,1,2,1))]. given #18526 (H,wt=25): 20387 K(x,L(T(y,z \ (u * w)),v5,v6)) = K(x,L(T(y,u * (z \ w)),v5,v6)). [hyper(236,a,17116,a(flip),b,20386,a(flip)),flip(a)]. given #18527 (H,wt=25): 20388 K(x,L(T(y,(z \ u) \ w),v5,v6)) = K(x,L(T(y,w * (u \ z)),v5,v6)). [hyper(236,a,18376,a,b,20387,a(flip)),flip(a)]. given #18528 (H,wt=35): 19916 K(x,K(y,K(y \ z,u)) * ((((y \ z) * y) \ w) \ v5)) = K(x,(T(K(y,y \ z),u) * (z \ w)) \ v5). [para(7886(a,1),19334(a,1,2,1))]. given #18529 (H,wt=27): 20390 K(x,(T(K(y,y \ z),u) * (z \ w)) \ v5) = K(x,(((y \ z) * y) \ w) \ v5). [hyper(16624,a,19916,a),flip(a)]. given #18530 (H,wt=27): 20392 K(x,(K(y,T(y \ z,u)) * (z \ w)) \ v5) = K(x,(((y \ z) * y) \ w) \ v5). [para(6439(a,1),20390(a,1,2,1,1))]. given #18531 (H,wt=27): 20393 K(x,K(T(y \ z,u),y) * ((z \ w) \ v5)) = K(x,(((y \ z) * y) \ w) \ v5). [hyper(19393,a,20392,a)]. given #18532 (H,wt=25): 20394 K(x,((y \ z) \ u) * K(w \ y,w)) = K(x,(((w \ y) * w) \ z) \ u). [para(8092(a,1),20393(a,1,2))]. given #18533 (H,wt=23): 20395 K(x,(((y \ z) * y) \ u) \ w) = K(x,((z \ u) \ w) * K(z,y)). [hyper(236,a,13079,a(flip),b,20394,a(flip))]. given #18534 (H,wt=21): 20396 K(x,(((y \ z) * y) \ u) \ w) = K(x,(T(z,y) \ u) \ w). [hyper(236,a,19283,a(flip),b,20395,a)]. given #18535 (H,wt=21): 20397 K(x,(T(y * z,y) \ u) \ w) = K(x,((z * y) \ u) \ w). [para(13(a,1),20396(a,1,2,1,1,1)),flip(a)]. given #18536 (H,wt=19): 20399 K(x,(y / (y * z)) \ u) = K(x,((z * y) \ y) \ u). [hyper(236,a,19470,a(flip),b,20397,a(flip)),flip(a)]. given #18537 (H,wt=26): 20398 K(x,((y * z) \ u) \ (y \ (T(z,y) \ u))) = a(T(z,y),y,K(x,y \ u)). [hyper(236,a,19754,a(flip),b,20397,a(flip))]. given #18538 (H,wt=27): 20400 K(x * (y * (x \ 1)),((z * u) \ u) \ w) = K(y,T((u / (u * z)) \ w,x)). [hyper(14625,a,20399,a),flip(a)]. given #18539 (H,wt=23): 20402 K(x,T((y / (y * z)) \ u,w)) = K(x,T(((z * y) \ y) \ u,w)). [hyper(14625,a,20400,a),flip(a)]. given #18540 (H,wt=26): 20403 K(x,T((y / (y * z)) \ u,w)) != v5 | K(x,T(((z * y) \ y) \ u,w)) = v5. [para(20400(a,1),14625(a,1))]. given #18541 (H,wt=27): 20401 K(x,((y * z) \ u) \ (y \ (T(z,y) \ u))) != w | a(z,y,K(x,y \ u)) = w. [para(20398(a,2),17998(a,1))]. given #18542 (H,wt=35): 19917 K(x,K(y,K(y \ z,u)) * (((y * (z / y)) * w) \ v5)) = K(x,(T(K(y,y \ z),u) * (z * w)) \ v5). [para(7886(a,1),19335(a,1,2,1))]. given #18543 (H,wt=27): 20404 K(x,(T(K(y,y \ z),u) * (z * w)) \ v5) = K(x,((y * (z / y)) * w) \ v5). [hyper(16624,a,19917,a),flip(a)]. given #18544 (H,wt=27): 20406 K(x,(K(y,T(y \ z,u)) * (z * w)) \ v5) = K(x,((y * (z / y)) * w) \ v5). [para(6439(a,1),20404(a,1,2,1,1))]. given #18545 (H,wt=27): 20407 K(x,K(T(y \ z,u),y) * ((z * w) \ v5)) = K(x,((y * (z / y)) * w) \ v5). [hyper(19393,a,20406,a)]. given #18546 (H,wt=25): 20408 K(x,((y * z) \ u) * K(w \ y,w)) = K(x,((w * (y / w)) * z) \ u). [para(8092(a,1),20407(a,1,2))]. given #18547 (H,wt=23): 20409 K(x,((y * (z / y)) * u) \ w) = K(x,((z * u) \ w) * K(z,y)). [hyper(236,a,13079,a(flip),b,20408,a(flip))]. given #18548 (H,wt=21): 20410 K(x,((y * (z / y)) * u) \ w) = K(x,(T(z,y) * u) \ w). [hyper(236,a,19280,a(flip),b,20409,a)]. given #18549 (H,wt=21): 20411 K(x,(T(y,z) * (z \ 1)) \ u) = K(x,((z \ 1) * y) \ u). [hyper(236,a,19678,a(flip),b,20410,a(flip))]. given #18550 (H,wt=30): 20412 K(x,(T((y \ z) \ 1,u) * (u \ 1)) \ ((u \ 1) * T(y,z))) = K(x,L(z,y,u \ 1)). [hyper(236,a,20351,a(flip),b,20411,a)]. given #18551 (H,wt=26): 20413 K(x,(T((y \ z) \ 1,u) / u) \ (u \ T(y,z))) = K(x,L(z,y,u \ 1)). [hyper(236,a,20348,a(flip),b,20412,a(flip)),flip(a)]. given #18552 (H,wt=24): 20414 K(x,(y \ ((z \ u) \ 1)) \ (y \ T(z,u))) = K(x,L(u,z,y \ 1)). [hyper(19535,a,20413,a)]. given #18553 (H,wt=35): 19924 K(x / ((K(y,z) * T(z,u)) / T(w,T(z * K(y,z),u))),v5) = K(x / ((w \ T(z,u)) * K(y,z)),v5). [para(18614(a,2),19519(a,1,1,2,2))]. given #18554 (H,wt=33): 20415 K(x / ((K(y,z) * T(z,u)) / T(w,T(T(z,y),u))),v5) = K(x / ((w \ T(z,u)) * K(y,z)),v5). [para(8648(a,1),19924(a,1,1,2,2))]. given #18555 (H,wt=31): 20416 K(x / ((K(y,z) * T(z,u)) / T(w,T(z,y))),v5) = K(x / ((w \ T(z,u)) * K(y,z)),v5). [hyper(19619,a,20415,a)]. given #18556 (H,wt=29): 20417 K(x / ((K(y,z) * T(z,u)) / T(w,z)),v5) = K(x / ((w \ T(z,u)) * K(y,z)),v5). [hyper(19619,a,20416,a)]. given #18557 (H,wt=29): 20419 K(x / ((K(y,z) * T(z,u)) / T(w,z)),v5) = K(K(y,z) * (x / (w \ T(z,u))),v5). [hyper(236,a,19382,a(flip),b,20417,a)]. given #18558 (H,wt=29): 20421 K(x / (K(y,z) * (T(z,u) / T(w,z))),v5) = K(K(y,z) * (x / (w \ T(z,u))),v5). [para(14727(a,1),20419(a,1,1,2))]. given #18559 (H,wt=29): 20422 K(x * ((T(y,z) / T(u,y)) \ K(y,w)),v5) = K(K(w,y) * (x / (u \ T(y,z))),v5). [hyper(236,a,14521,a(flip),b,20421,a(flip)),flip(a)]. given #18560 (H,wt=27): 20423 K(x / (T(T(y,z),u) / T(w,y)),v5) = K(K(z,y) * (x / (w \ T(y,u))),v5). [hyper(236,a,19674,a(flip),b,20422,a(flip)),flip(a)]. given #18561 (H,wt=33): 20424 K(K(x,T(x,y)) * (z / (u \ T(T(x,y),w))),v5) = K(z / (T(T(x,y),w) / T(u,T(x,y))),v5). [para(131(a,1),20423(a,1,1,2,1,1)),flip(a)]. given #18562 (H,wt=31): 20425 K(K(x,T(x,y)) * (z / (u \ T(T(x,y),w))),v5) = K(z / (T(T(x,y),w) / T(u,x)),v5). [hyper(236,a,19618,a(flip),b,20424,a)]. given #18563 (H,wt=27): 20427 K(x / (T(T(y,z),u) / T(w,y)),v5) = K(1 * (x / (w \ T(T(y,z),u))),v5). [para(195(a,1),20425(a,1,1,1)),flip(a)]. given #18564 (H,wt=25): 20428 K(x / (T(T(y,z),u) / T(w,y)),v5) = K(x / (w \ T(T(y,z),u)),v5). [para(11(a,1),20427(a,2,1))]. given #18565 (H,wt=25): 20430 K(K(x,y) * (z / (u \ T(y,w))),v5) = K(z / (u \ T(T(y,x),w)),v5). [hyper(236,a,20423,a(flip),b,20428,a(flip)),flip(a)]. given #18566 (H,wt=25): 20431 K(x * ((y \ T(z,u)) \ K(z,w)),v5) = K(x / (y \ T(T(z,w),u)),v5). [hyper(236,a,19371,a(flip),b,20430,a(flip)),flip(a)]. given #18567 (H,wt=35): 20254 K(x,y * (((z * u) \ w) * v5)) / K(x,K(y,z * (u * (v5 * w)))) = K(x,(((z * u) \ w) * v5) * y). [para(20240(a,1),20245(a,1,2))]. given #18568 (H,wt=31): 20433 K(x,y * (((z * u) \ z) * w)) / K(x,K(y,u * w)) = K(x,(((z * u) \ z) * w) * y). [para(20251(a,1),20254(a,1,2))]. given #18569 (H,wt=31): 20434 K(x,y * (((z * u) \ z) * w)) * K(x,K(y,u * w)) = K(x,(((z * u) \ z) * w) * y). [hyper(7973,a,20433,a)]. given #18570 (H,wt=31): 20435 K(x,K(y,z * u)) * K(x,y * (((w * z) \ w) * u)) = K(x,(((w * z) \ w) * u) * y). [hyper(16168,a,20434,a)]. given #18571 (H,wt=36): 19255 K(x,K(y,a(z,u,w) \ (y \ v5)) * ((a(z,u,w) \ (v5 / y)) \ v6)) = K(x,((a(z,u,w) * y) \ v5) \ v6). [para(18901(a,1),19225(a,1,2,2,1))]. given #18572 (H,wt=36): 19286 K((x * y) \ ((x * K(z,u)) * y),(x * K(z,u)) * y) = K(K(z,L(T(u,x),x,y)),x * (y * K(z,u))). [hyper(15427,a,19285,a)]. given #18573 (H,wt=36): 19606 K(((x / (x / y)) \ z) * u,L(w,u \ 1,K(y \ x,y))) = K(T(y \ z,K(y,x)) * (u * K(y,x)),w). [hyper(236,a,16780,a(flip),b,19605,a(flip)),flip(a)]. given #18574 (H,wt=32): 20438 K(((x / (x / y)) \ z) * u,L(w,u \ 1,K(y \ x,y))) = K((y \ z) * (u * K(y,x)),w). [hyper(236,a,16653,a(flip),b,19606,a)]. given #18575 (H,wt=30): 20440 K(((x / (x / y)) \ z) * u,L(w,u \ 1,K(y \ x,y))) = K((T(y,x) \ z) * u,w). [hyper(236,a,18258,a(flip),b,20438,a)]. given #18576 (H,wt=21): 20441 K(((x / (x / y)) \ z) * u,w) = K((T(y,x) \ z) * u,w). [hyper(17774,a,20440,a)]. given #18577 (H,wt=21): 20443 K((T(x,x \ y) \ z) * u,w) = K((T(x,y) \ z) * u,w). [hyper(236,a,18381,a,b,20441,a(flip)),flip(a)]. given #18578 (H,wt=21): 20444 K((T(x \ y,y) \ z) * u,w) = K(((y / x) \ z) * u,w). [para(62(a,1),20441(a,1,1,1,1,2)),flip(a)]. given #18579 (H,wt=21): 20445 K((((x \ y) \ y) \ z) * u,w) = K((T(x,y) \ z) * u,w). [hyper(236,a,16806,a(flip),b,20443,a(flip)),flip(a)]. given #18580 (H,wt=23): 20447 K((((x \ y) \ y) \ z) * u,T(w,u)) = K(u * (T(x,y) \ z),w). [hyper(236,a,13395,a(flip),b,20445,a)]. given #18581 (H,wt=21): 20448 K(x * (((y \ z) \ z) \ u),w) = K(x * (T(y,z) \ u),w). [hyper(13410,a,20447,a)]. given #18582 (H,wt=23): 20449 K(x * (T(y \ z,z) \ u),w) = K(x * (T(y \ z,y) \ u),w). [para(4108(a,2),20448(a,1,1,2,1)),flip(a)]. given #18583 (H,wt=21): 20450 K(x * (T(y \ z,z) \ u),w) = K(x * ((z / y) \ u),w). [hyper(236,a,18231,a(flip),b,20449,a)]. given #18584 (H,wt=25): 20446 K(x,(T(y \ z,z) \ u) * w) = v5 / (K(((z / y) \ u) * w,x) * v5). [para(20444(a,1),5266(a,1,2,1)),flip(a)]. given #18585 (H,wt=21): 20452 K(x,(T(y \ z,z) \ u) * w) = K(x,((z / y) \ u) * w). [hyper(236,a,17975,a(flip),b,20446,a)]. given #18586 (H,wt=23): 20453 K(x,(T(y \ (z * y),z * y) \ u) * w) = K(x,(z \ u) * w). [para(15(a,1),20452(a,2,2,1,1))]. given #18587 (H,wt=21): 20454 K(x,(T(T(y,z),y * z) \ u) * w) = K(x,(y \ u) * w). [para(32(a,2),20453(a,1,2,1,1,1))]. given #18588 (H,wt=19): 20455 K(x,(T(T(y,z),z) \ u) * w) = K(x,(y \ u) * w). [hyper(236,a,13458,a(flip),b,20454,a(flip)),flip(a)]. given #18589 (H,wt=21): 20456 K(x,(T(y * z,z) \ u) * w) = K(x,((z * y) \ u) * w). [hyper(236,a,19688,a(flip),b,20455,a(flip)),flip(a)]. given #18590 (H,wt=25): 20451 K(x,y * (T(z \ u,u) \ w)) = v5 / (K(y * ((u / z) \ w),x) * v5). [para(20450(a,1),5266(a,1,2,1)),flip(a)]. given #18591 (H,wt=21): 20459 K(x,y * (T(z \ u,u) \ w)) = K(x,y * ((u / z) \ w)). [hyper(236,a,17975,a(flip),b,20451,a)]. given #18592 (H,wt=27): 20460 K(x,y * ((z / u) \ T(w,T(u \ z,z)))) = K(x,y * (w / T(u \ z,z))). [hyper(236,a,15756,a(flip),b,20459,a(flip))]. given #18593 (H,wt=25): 20461 K(x,y * ((z / u) \ T(w,z / u))) = K(x,y * (w / T(u \ z,z))). [para(8364(a,1),20460(a,1,2,2,2))]. given #18594 (H,wt=21): 20462 K(x,y * (z / T(u \ w,w))) = K(x,y * (z / (w / u))). [hyper(236,a,15756,a(flip),b,20461,a(flip))]. given #18595 (H,wt=23): 20463 K(x,y * (z / (u / (w \ u)))) = K(x,y * (z / T(T(w,u),u))). [hyper(236,a,18997,a(flip),b,20462,a(flip))]. given #18596 (H,wt=19): 20464 K(x,y * (z / T(T(u,w),w))) = K(x,y * (z / u)). [para(62(a,1),20463(a,1,2,2,2)),flip(a)]. given #18597 (H,wt=21): 20465 K(x,y * (T(z,u) \ T(u,w))) = K(x,y * (T(u,w) / z)). [hyper(236,a,16809,a(flip),b,20464,a(flip)),flip(a)]. given #18598 (H,wt=29): 20458 K(x,(T(a(y,z,y) \ u,y) \ w) * v5) = K(x,((y * (u / R(y,z,y))) \ w) * v5). [para(12325(a,1),20456(a,1,2,1,1,1))]. given #18599 (H,wt=29): 20467 K(x,((y * (z / R(y,u,y))) \ w) * v5) = K(x,(a(y,u,y) * (T(z,y) \ w)) * v5). [para(13443(a,1),20458(a,1,2,1)),flip(a)]. given #18600 (H,wt=29): 20468 K(x,((y * (z / R(y,u,y))) \ w) * v5) = K(x,a(y,u,y) * ((T(z,y) \ w) * v5)). [para(12809(a,1),20467(a,2,2))]. given #18601 (H,wt=27): 20469 K(x,((y * (z / R(y,u,y))) \ w) * v5) != v6 | K(x,(T(z,y) \ w) * v5) = v6. [para(20468(a,2),13067(a,1))]. given #18602 (H,wt=33): 20466 K(x,K(T(y,z) \ T(z,u),w)) \ K(x,w * (T(z,u) / y)) = K(x,(T(y,z) \ T(z,u)) * w). [hyper(72,a,20465,a(flip),b,13238,a)]. given #18603 (H,wt=31): 20470 K(x,K(T(y,z) / u,w)) \ K(x,w * (T(y,z) / u)) = K(x,(T(u,y) \ T(y,z)) * w). [para(16716(a,1),20466(a,1,1,2))]. given #18604 (H,wt=29): 20471 K(x,K(y,z \ u)) \ K(x,y * (T(u,w) / z)) = K(x,(T(z,u) \ T(u,w)) * y). [para(17080(a,1),20470(a,1,1))]. given #18605 (H,wt=21): 20472 K(x,(T(y,z) \ T(z,u)) * w) = K(x,(T(z,u) / y) * w). [hyper(236,a,17227,a(flip),b,20471,a(flip))]. given #18606 (H,wt=36): 20000 L(L(L(x \ 1,y,K(z,u)),x,y),K(z,u) * (y * x),K(u,z)) = (K(u,z) * (K(z,u) * (y * x))) \ y. [para(19999(a,1),5952(a,1,1,1))]. given #18607 (H,wt=32): 20475 L(L(L(x \ 1,y,K(z,u)),x,y),y * x,K(u,z)) = (K(u,z) * (K(z,u) * (y * x))) \ y. [hyper(236,a,20314,a(flip),b,20000,a(flip)),flip(a)]. given #18608 (H,wt=24): 20477 L(L(L(x \ 1,y,K(z,u)),x,y),y * x,K(u,z)) = (y * x) \ y. [para(5268(a,1),20475(a,2,1))]. given #18609 (H,wt=36): 20158 K(x,y * (T(z,L(z,z \ 1,u) \ 1) * (L(z,z \ 1,u) \ 1))) = K(x,y * a(z \ u,z,z \ 1)). [para(20153(a,1),18542(a,2,2,2))]. given #18610 (H,wt=31): 20479 K(x,y * (T(z,z \ 1) * (L(z,z \ 1,u) \ 1))) = K(x,y * a(z \ u,z,z \ 1)). [para(4695(a,1),20158(a,1,2,2,1))]. given #18611 (H,wt=29): 20480 K(x,y * (L(z,z \ 1,u) \ T(z,z \ 1))) = K(x,y * a(z \ u,z,z \ 1)). [para(2047(a,1),20479(a,1,2,2))]. given #18612 (H,wt=27): 20482 K(x,y * (z * (1 / L(z,z \ 1,u)))) = K(x,y * a(z \ u,z,z \ 1)). [para(5896(a,1),20480(a,1,2,2))]. given #18613 (H,wt=27): 20483 K(x,y * (z * (L(z,z \ 1,u) \ 1))) = K(x,y * a(z \ u,z,z \ 1)). [hyper(236,a,5485,a(flip),b,20482,a(flip)),flip(a)]. given #18614 (H,wt=25): 20484 K(x,y * a(z \ u,z,z \ 1)) = K(x,y * (L(z,z \ 1,u) \ z)). [para(1211(a,1),20483(a,1,2,2)),flip(a)]. given #18615 (H,wt=36): 20437 K((x * y) \ ((x * K(z,u)) * y),(x * K(z,u)) * y) = K(z,K(L(T(u,x),x,y),x * (y * K(z,u)))). [hyper(236,a,7886,a(flip),b,19286,a)]. given #18616 (H,wt=36): 20485 K((x * y) \ ((x * K(z,u)) * y),(x * K(z,u)) * y) = K(z,K(L(u,x,y),T(x * (y * K(z,u)),x))). [para(7310(a,1),20437(a,2,2))]. given #18617 (H,wt=34): 20486 K((x * y) \ ((x * K(z,u)) * y),(x * K(z,u)) * y) = K(z,K(L(u,x,y),(y * K(z,u)) * x)). [para(13017(a,1),20485(a,2,2))]. given #18618 (H,wt=30): 20487 K((x * y) \ ((x * K(z,u)) * y),(x * K(z,u)) * y) = K(z,K(L(u,x,y),x * y)). [hyper(236,a,17098,a(flip),b,20486,a)]. given #18619 (H,wt=27): 20489 K((x * y) \ ((x * K(z,u)) * y),(x * K(z,u)) * y) = K(z,K(u,x * y)). [hyper(236,a,17753,a(flip),b,20487,a)]. given #18620 (H,wt=27): 20491 K(K(x,(y * (z * u)) / (y * u)),(u * K(x,z)) * y) = K(x,K(z,u * y)). [para(17192(a,2),20489(a,1,1))]. given #18621 (H,wt=27): 20492 K(K(x,(y * (z * u)) / (y * u)),u * (y * K(x,z))) = K(x,K(z,u * y)). [hyper(19460,a,20491,a)]. given #18622 (H,wt=27): 20493 K(x,K((y * (z * u)) / (y * u),u * (y * K(x,z)))) = K(x,K(z,u * y)). [hyper(8011,a,20492,a)]. given #18623 (H,wt=27): 20494 K(x,K((y * z) \ ((y * u) * z),y * (z * K(x,u)))) = K(x,K(u,y * z)). [para(16550(a,1),20493(a,1,2))]. given #18624 (H,wt=23): 20495 K(x,K((y * z) \ ((y * u) * z),z * y)) = K(x,K(u,y * z)). [hyper(17101,a,20494,a)]. given #18625 (H,wt=19): 20496 K(x,K(y * z,(y * u) * z)) = K(x,K(u,y * z)). [hyper(236,a,16860,a(flip),b,20495,a(flip)),flip(a)]. given #18626 (H,wt=30): 20497 K(x,K(y,z * u)) * K(x,R(y * K(z,y),z,u)) = K(x,(z * u) \ ((z * y) * u)). [para(20496(a,1),9408(a,1,1))]. given #18627 (H,wt=30): 20498 K(x,K(y,z * u)) * K(y,R(x * K(z,x),z,u)) = K(y,(z * u) \ ((z * x) * u)). [para(7919(a,1),20497(a,1,1))]. given #18628 (H,wt=30): 20499 K(x,K(y,z * u)) * K(y,L(x * K(z,x),z,u)) = K(y,(z * u) \ ((z * x) * u)). [para(15348(a,1),20498(a,1,2))]. given #18629 (H,wt=28): 20500 K(x,K(y,z * u)) * K(y,L(T(x,z),z,u)) = K(y,(z * u) \ ((z * x) * u)). [para(8490(a,1),20499(a,1,2))]. given #18630 (H,wt=28): 20501 L(K(x,T(y,z)) * K(y,K(x,z * u)),z,u) = K(x,(z * u) \ ((z * y) * u)). [hyper(236,a,18688,a,b,20500,a(flip)),flip(a)]. given #18631 (H,wt=24): 20502 L(K(x,T(T(y,z),z * u)),z,u) = K(x,(z * u) \ ((z * y) * u)). [para(16038(a,1),20501(a,1,1))]. given #18632 (H,wt=24): 20503 K(x,L(T(T(y,z),z * u),z,u)) = K(x,(z * u) \ ((z * y) * u)). [hyper(11589,a,20502,a)]. given #18633 (H,wt=23): 20504 K(x,(y * (z * u)) / (y * u)) = K(x,(u * y) \ ((u * z) * y)). [hyper(17202,a,20503,a)]. given #18634 (H,wt=23): 20507 K(x,(y * z) \ ((y * u) * z)) = ((y * K(u,x)) * z) \ (y * z). [hyper(236,a,17241,a(flip),b,20504,a(flip))]. given #18635 (H,wt=24): 20505 K(x,L(T(T(y,z),u * z),z,u)) = K(x,(z * u) \ ((z * y) * u)). [hyper(16413,a,20503,a)]. given #18636 (H,wt=23): 20510 K(x,y / (z * (u \ (z \ y)))) = K(x,(y * z) \ ((y * u) * z)). [hyper(236,a,19098,a(flip),b,20505,a(flip)),flip(a)]. given #18637 (H,wt=23): 20511 K((x * y) \ ((x * z) * y),u) = K(z,(x * y) \ ((x * u) * y)). [hyper(236,a,16564,a(flip),b,20505,a(flip)),flip(a)]. given #18638 (H,wt=25): 20506 (x * (y * z)) / (x * (T(y,u) * z)) = K(u,(z * x) \ ((z * y) * x)). [hyper(236,a,6931,a,b,20504,a(flip)),flip(a)]. given #18639 (H,wt=25): 20508 (x * y) * K(z,(y * x) \ ((y * u) * x)) = (y * K(z,u)) * T(x,y). [para(20504(a,1),15501(a,1,2))]. given #18640 (H,wt=25): 20509 ((x * K(y,z)) * T(u,x)) \ (u * x) = K(z,(x * u) \ ((x * y) * u)). [hyper(236,a,17115,a,b,20507,a),flip(a)]. given #18641 (H,wt=25): 20512 x * K(y,(x * z) \ ((x * u) * z)) = z * (K(y,T(u,x)) * (z \ x)). [para(20510(a,1),15492(a,1,2))]. given #18642 (H,wt=23): 20513 K(x,(y * (z * (y \ u))) / u) = K(x,(u * y) \ ((u * z) * y)). [hyper(17,a,15554,a,b,20512,a),flip(a)]. given #18643 (H,wt=27): 20515 x / (K(y,(z * u) \ ((z * w) * u)) * x) = K((u * (w * (u \ z))) / z,y). [para(20513(a,1),5266(a,1,2,1))]. given #18644 (H,wt=23): 20516 K((x * (y * (x \ z))) / z,u) = K((z * x) \ ((z * y) * x),u). [hyper(17977,a,20515,a),flip(a)]. given #18645 (H,wt=23): 20517 K((x * (y * (x \ z))) / z,u) = K(y,(z * x) \ ((z * u) * x)). [hyper(236,a,20511,a(flip),b,20516,a)]. given #18646 (H,wt=27): 20518 K(x \ (y * (z * (y \ x))),u / x) = K(z,(x * y) \ ((x * (x \ u)) * y)). [hyper(8394,a,20517,a)]. given #18647 (H,wt=23): 20519 K(x \ (y * (z * (y \ x))),u / x) = K(z,(x * y) \ (u * y)). [para(14(a,1),20518(a,2,2,2,1))]. given #18648 (H,wt=22): 20520 K(x,L(T(y / z,u * z),z,u)) = K(x,(z * u) \ (y * u)). [hyper(236,a,16548,a(flip),b,20519,a(flip)),flip(a)]. given #18649 (H,wt=33): 20514 (x * (y * (x \ z))) / (z * T(z \ (x * (y * (x \ z))),u)) = K(u,(z * x) \ ((z * y) * x)). [hyper(236,a,5419,a,b,20513,a(flip)),flip(a)]. given #18650 (H,wt=29): 20522 (x * (y * (x \ z))) / (x * (T(y,u) * (x \ z))) = K(u,(z * x) \ ((z * y) * x)). [para(1237(a,1),20514(a,1,2))]. given #18651 (H,wt=27): 20523 K(x,((y \ z) * y) \ (((y \ z) * u) * y)) = K(x,(z * y) \ ((z * u) * y)). [hyper(236,a,20506,a(flip),b,20522,a(flip)),flip(a)]. given #18652 (H,wt=23): 20524 K(x,(y * z) \ ((y * u) * z)) = K(x,y \ (((y / z) * u) * z)). [hyper(19920,a,20523,a),flip(a)]. given #18653 (H,wt=25): 20526 ((x * K(y,z)) * T(u,x)) \ (u * x) = K(z,x \ (((x / u) * y) * u)). [hyper(236,a,20509,a,b,20524,a(flip)),flip(a)]. given #18654 (H,wt=25): 20527 (x * y) * K(z,y \ (((y / x) * u) * x)) = (y * K(z,u)) * T(x,y). [para(20524(a,1),20508(a,1,2))]. given #18655 (H,wt=25): 20528 ((x * K(y,z)) * T(u,x)) \ (u * x) = K(x \ (((x / u) * z) * u),y). [para(20527(a,1),7549(a,1,1))]. given #18656 (H,wt=23): 20531 K(x \ (((x / y) * z) * y),u) = K(z,x \ (((x / y) * u) * y)). [hyper(236,a,20526,a(flip),b,20528,a(flip))]. given #18657 (H,wt=28): 20529 ((x * K(y,z)) * T(u,x)) \ (u * x) != w | K(x \ (((x / u) * z) * u),y) = w. [para(20527(a,1),7560(a,1,1))]. given #18658 (H,wt=29): 20530 (x * y) * K(z,x \ (((x / y) * u) * y)) = K(x,y) * ((x * K(z,u)) * T(y,x)). [para(20527(a,1),11049(a,1,2)),flip(a)]. given #18659 (H,wt=29): 20532 R(K(x \ (((x / y) * z) * y),u),w,v5) = K(z,x \ (((x / y) * L(u,w,v5)) * y)). [hyper(15358,a,20531,a)]. given #18660 (H,wt=29): 20535 R(K(x,y \ (((y / z) * u) * z)),w,v5) = K(x,y \ (((y / z) * L(u,w,v5)) * z)). [para(20531(a,1),20532(a,1,1))]. given #18661 (H,wt=29): 20536 K(x,L(y \ (((y / z) * u) * z),w,v5)) = K(x,y \ (((y / z) * L(u,w,v5)) * z)). [hyper(15385,a,20535,a)]. given #18662 (H,wt=30): 20534 (x * y) * K(z,x \ (((x / y) * u) * y)) != w * v5 | w \ ((x * K(z,u)) * y) = v5. [para(20530(a,2),17114(a,1))]. given #18663 (H,wt=28): 20538 x * K(y,L(z \ (((z / x) * u) * x),x,z \ 1)) = z \ ((z * K(y,u)) * x). [hyper(20534,a,18798,a(flip)),flip(a)]. given #18664 (H,wt=31): 20533 K(x,y \ (((y / z) * L(u,w,u \ v5)) * z)) = K(y \ (((y / z) * x) * z),L(u,w,v5)). [hyper(14593,a,20531,a),flip(a)]. given #18665 (H,wt=31): 20539 K(x,y \ (((y / z) * L(u,w,u \ v5)) * z)) = K(x,y \ (((y / z) * L(u,w,v5)) * z)). [hyper(236,a,20531,a(flip),b,20533,a)]. given #18666 (H,wt=31): 20540 K(x,y \ (((y / z) * L(u,w,u \ v5)) * z)) = K(x,L(y \ (((y / z) * u) * z),w,v5)). [hyper(236,a,20536,a,b,20539,a)]. given #18667 (H,wt=31): 20541 K(x,L(y \ (((y / z) * u) * z),w,u \ v5)) = K(x,L(y \ (((y / z) * u) * z),w,v5)). [hyper(236,a,20536,a,b,20540,a(flip)),flip(a)]. given #18668 (H,wt=32): 20537 K(x,y \ (((y / z) * L(u,w,v5)) * z)) != v6 | K(x,L(y \ (((y / z) * u) * z),w,v5)) = v6. [para(20535(a,1),15385(a,1))]. given #18669 (H,wt=34): 20525 K((x * y) / ((z \ x) * y),u \ (((u / w) * v5) * w)) = K(z,L((u * w) \ ((u * v5) * w),x,y)). [hyper(15393,a,20524,a),flip(a)]. given #18670 (H,wt=29): 20542 K(x,L((y * z) \ ((y * u) * z),w,v5)) = K(x,L(y \ (((y / z) * u) * z),w,v5)). [hyper(15393,a,20525,a),flip(a)]. given #18671 (H,wt=28): 20544 K(x,L(y \ (((y / z) * u) * z),z,y \ 1)) = K(x,z \ (y \ ((y * u) * z))). [hyper(236,a,18805,a(flip),b,20542,a(flip))]. given #18672 (H,wt=23): 20545 x * K(y,x \ (z \ ((z * u) * x))) = z \ ((z * K(y,u)) * x). [para(20544(a,1),20538(a,1,2))]. given #18673 (H,wt=30): 20543 K(x,L(y \ (((y / z) * u) * z),z,(y * u) \ 1)) = K(x,((y * u) \ (y * z)) \ z). [hyper(236,a,18824,a(flip),b,20542,a(flip))]. given #18674 (H,wt=30): 20546 K(x,L(y \ (((y / z) * u) * z),z,u \ (y \ 1))) = K(x,((y * u) \ (y * z)) \ z). [hyper(14944,a,20543,a)]. given #18675 (H,wt=28): 20547 K(x,L(y \ (((y / z) * u) * z),z,y \ 1)) = K(x,((y * u) \ (y * z)) \ z). [hyper(236,a,20541,a(flip),b,20546,a(flip)),flip(a)]. given #18676 (H,wt=23): 20548 K(x,((y * z) \ (y * u)) \ u) = K(x,u \ (y \ ((y * z) * u))). [hyper(236,a,20544,a(flip),b,20547,a(flip))]. given #18677 (H,wt=23): 20549 K(x,y \ (z \ ((z * (z \ u)) * y))) = K(x,(u \ (z * y)) \ y). [para(14(a,1),20548(a,1,2,1,1)),flip(a)]. given #18678 (H,wt=19): 20550 K(x,(y \ (z * u)) \ u) = K(x,u \ (z \ (y * u))). [para(14(a,1),20549(a,1,2,2,2,1)),flip(a)]. given #18679 (H,wt=37): 19201 K(x,y) * (K(z \ 1,u) / (a(K(x,y) * z,w,w \ 1) \ T(z \ 1,u))) = R(K(x,y) * z,w,w \ 1). [hyper(236,a,18844,a(flip),b,19145,a(flip))]. given #18680 (H,wt=31): 20552 K(x,y) * (1 / (a(K(x,y) * z,u,u \ 1) \ (z \ 1))) = R(K(x,y) * z,u,u \ 1). [para(14195(a,1),19201(a,1,2))]. given #18681 (H,wt=29): 20553 K(x,y) / (a(K(x,y) * z,u,u \ 1) \ (z \ 1)) = R(K(x,y) * z,u,u \ 1). [hyper(14512,a,20552,a)]. given #18682 (H,wt=37): 19443 K(x,(T(((y \ z) \ z) * u,(y \ z) \ z) \ w) \ v5) = K(x,((((y * u) \ y) \ ((y \ z) \ z)) \ w) \ v5). [para(15055(a,1),19442(a,1,2,1,1,1)),flip(a)]. given #18683 (H,wt=35): 20554 K(x,(T(((y \ z) \ z) * u,T(y,z)) \ w) \ v5) = K(x,((((y * u) \ y) \ ((y \ z) \ z)) \ w) \ v5). [para(8330(a,1),19443(a,1,2,1,1))]. given #18684 (H,wt=33): 20555 K(x,((((y * z) \ y) \ ((y \ u) \ u)) \ w) \ v5) = K(x,(T(((y \ u) \ u) * z,y) \ w) \ v5). [hyper(236,a,19698,a(flip),b,20554,a(flip))]. given #18685 (H,wt=31): 20556 K(x,(T(((y \ z) \ z) * u,y) \ 1) \ w) = K(x,(((y * u) \ y) \ ((y \ z) \ z)) * w). [hyper(14234,a,20555,a),flip(a)]. given #18686 (H,wt=37): 19634 K(x,T(T(y / z,y) * u,u \ 1) \ w) = K(x,(((T(y / z,y) * u) \ T(y / z,y)) \ (z \ y)) \ w). [para(6375(a,2),19633(a,1,2,1))]. given #18687 (H,wt=35): 20560 K(x,T(T(y / z,y) * u,u) \ w) = K(x,(((T(y / z,y) * u) \ T(y / z,y)) \ (z \ y)) \ w). [hyper(236,a,19308,a(flip),b,19634,a(flip)),flip(a)]. given #18688 (H,wt=33): 20561 K(x,(((T(y / z,y) * u) \ T(y / z,y)) \ (z \ y)) \ w) = K(x,(u * T(y / z,y)) \ w). [hyper(236,a,15764,a(flip),b,20560,a(flip))]. given #18689 (H,wt=29): 20562 K(x,((((y / z) * u) \ (y / z)) \ (z \ y)) \ w) = K(x,(u * T(y / z,y)) \ w). [para(14471(a,1),20561(a,1,2,1,1))]. given #18690 (H,wt=29): 20564 K(x,((((y \ z) * u) \ (y \ z)) \ (y \ z)) \ w) = K(x,(u * T(z / y,z)) \ w). [para(14948(a,1),20562(a,1,2,1,1))]. given #18691 (H,wt=25): 20565 K(x,T((y \ z) * u,y \ z) \ w) = K(x,(u * T(z / y,z)) \ w). [hyper(13208,a,20564,a)]. given #18692 (H,wt=21): 20566 K(x,(y * T(z / u,z)) \ w) = K(x,(y * (u \ z)) \ w). [hyper(13223,a,20565,a),flip(a)]. given #18693 (H,wt=25): 20567 K(x,(y * T(T(z,u) / w,z)) \ v5) = K(x,(y * (w \ T(z,u))) \ v5). [hyper(236,a,19434,a(flip),b,20566,a(flip)),flip(a)]. given #18694 (H,wt=27): 20568 K(x,(y * T(T(z,u) / w,T(z,v5))) \ v6) = K(x,(y * (w \ T(z,u))) \ v6). [hyper(236,a,19434,a,b,20567,a(flip)),flip(a)]. given #18695 (H,wt=31): 20569 K(x,(y * T(T(z,u \ z) / u,T(z,w))) \ v5) = K(x,(y * ((z * (u \ z)) / z)) \ v5). [para(3896(a,1),20568(a,2,2,1,2))]. given #18696 (H,wt=23): 20570 K(x,(y * ((z * (u \ z)) / z)) \ w) = K(x,(y * (z / u)) \ w). [para(9425(a,1),20569(a,1,2,1,2)),flip(a)]. given #18697 (H,wt=21): 20571 K(x,(y * T(z \ u,u)) \ w) = K(x,(y * (u / z)) \ w). [hyper(19530,a,20570,a)]. given #18698 (H,wt=31): 20572 K(x,K(y,z * (u \ w))) * K(y,(z * (w / u)) \ x) = K(y,x / (z * T(u \ w,w))). [para(20571(a,1),17073(a,1,2))]. given #18699 (H,wt=21): 20573 K(x,y / (z * T(u \ w,w))) = K(x,y / (z * (w / u))). [hyper(236,a,17096,a(flip),b,20572,a(flip))]. given #18700 (H,wt=25): 20574 K(x,y / (z * T(u \ (w \ 1),w))) = K(x,y / (z * ((w \ 1) / u))). [hyper(236,a,19739,a(flip),b,20573,a(flip)),flip(a)]. given #18701 (H,wt=25): 20575 K(x,y / (T(z,z \ (u \ 1)) \ 1)) = K(x,y / (u * ((z \ 1) / u))). [para(6950(a,2),20574(a,1,2,2))]. given #18702 (H,wt=23): 20576 K(x,y / (z * ((u \ 1) / z))) = K(x,y * T(u,u \ (z \ 1))). [hyper(236,a,14131,a(flip),b,20575,a(flip))]. given #18703 (H,wt=21): 20577 K(x,y / (z * ((u \ 1) / z))) = K(x,y * T(u,z \ 1)). [hyper(236,a,13052,a(flip),b,20576,a)]. given #18704 (H,wt=25): 20578 K(x,y / ((z / u) * ((w \ 1) / (z / u)))) = K(x,y * T(w,z \ u)). [hyper(236,a,16711,a(flip),b,20577,a)]. given #18705 (H,wt=21): 20579 K(x,y / T(z \ 1,u / w)) = K(x,y * T(z,u \ w)). [hyper(19511,a,20578,a)]. given #18706 (H,wt=37): 19787 K(x,L((y \ z) \ (a(u \ 1,u,w) \ 1),a(u \ 1,u,w) \ 1,y)) = K(x,z \ (a(u \ 1,u,w) \ y)). [para(19785(a,1),11485(a,2,2,2))]. given #18707 (H,wt=37): 20559 K(x,((((y \ z) \ z) * u) \ K(y,((y \ z) \ z) * u)) \ w) = K(x,(((y * u) \ y) \ ((y \ z) \ z)) * w). [para(4833(a,1),20556(a,1,2,1))]. given #18708 (H,wt=35): 20580 K(x,((((y \ z) \ z) * u) \ K(y,T(y,z) * u)) \ w) = K(x,(((y * u) \ y) \ ((y \ z) \ z)) * w). [para(13056(a,1),20559(a,1,2,1,2))]. given #18709 (H,wt=33): 20581 K(x,((((y \ z) \ z) * u) \ K(y,y * u)) \ w) = K(x,(((y * u) \ y) \ ((y \ z) \ z)) * w). [para(7430(a,1),20580(a,1,2,1,2))]. given #18710 (H,wt=31): 20582 K(x,(((y * z) \ y) \ ((y \ u) \ u)) * w) = K(x,(((y \ u) \ u) * z) * (w * K(y,z))). [hyper(236,a,19291,a(flip),b,20581,a(flip))]. given #18711 (H,wt=29): 20584 K(x,(((y * z) \ y) \ ((y \ u) \ u)) * w) = K(x,(T(y,u) * z) * (w * K(y,z))). [hyper(236,a,18523,a(flip),b,20582,a)]. given #18712 (H,wt=27): 20585 K(x,(((y * z) \ y) \ ((y \ u) \ u)) * w) = K(x,(T(T(y,z),u) * z) * w). [hyper(236,a,18539,a(flip),b,20584,a)]. given #18713 (H,wt=25): 20586 K(x,(((y * z) \ y) \ ((y \ u) \ u)) * w) = K(x,(z * T(y,u)) * w). [hyper(236,a,18501,a(flip),b,20585,a)]. given #18714 (H,wt=25): 20587 K(x,(T(((y \ z) \ z) * u,y) \ 1) \ w) = K(x,(u * T(y,z)) * w). [hyper(236,a,20556,a,b,20586,a(flip)),flip(a)]. given #18715 (H,wt=38): 19019 K(L(x \ 1,x,y * (x \ 1)),x) * ((a(y,x \ 1,x) \ 1) \ z) = (x * L(x \ 1,x,y * (x \ 1))) \ z. [para(19017(a,1),11048(a,1,2,1))]. given #18716 (H,wt=31): 20588 K(x \ 1,x) * ((a(y,x \ 1,x) \ 1) \ z) = (x * L(x \ 1,x,y * (x \ 1))) \ z. [para(2729(a,1),19019(a,1,1))]. given #18717 (H,wt=29): 20590 (x * L(x \ 1,x,y * (x \ 1))) \ z = K(x \ 1,x) * (a(y,x \ 1,x) * z). [para(18896(a,1),20588(a,1,2)),flip(a)]. given #18718 (H,wt=38): 19099 K(x,L((y * K(L(z,u,w \ 1),v5)) / (w \ u),y,K(v5,L(z,u,w \ 1)))) = K(x,y / (w \ (u * K(v5,z)))). [para(7547(a,1),18818(a,1,2,1,1))]. given #18719 (H,wt=38): 20591 K(x,L((y * K(z,L(u,w,v5 \ 1))) / (v5 \ w),y,K(u,L(z,w,v5 \ 1)))) = K(x,y / (v5 \ (w * K(u,z)))). [para(11533(a,1),19099(a,1,2,1,1,2))]. given #18720 (H,wt=28): 20592 K(x,(y * K(z,L(u,w,v5 \ 1))) / (v5 \ w)) = K(x,y / (v5 \ (w * K(u,z)))). [hyper(17774,a,20591,a)]. given #18721 (H,wt=28): 20593 K(x,y * ((z \ u) \ K(w,L(v5,u,z \ 1)))) = K(x,y / (z \ (u * K(v5,w)))). [hyper(19402,a,20592,a)]. given #18722 (H,wt=39): 17671 (K(x,K(y,z)) * (u * w)) \ ((K(x,K(y,z)) * u) * (w * v5)) = L(v5,L(w,u,K(x,K(y,z))),K(x,K(y,z)) * u). [para(17657(a,1),439(a,1,2,2,1))]. given #18723 (H,wt=39): 18403 K(x,L((y / (z \ 1)) / u,u,z \ K(w,v5))) = K(x,(y * K(w,L(v5,z \ 1,y * z))) / (u * (z \ K(w,v5)))). [para(18402(a,2),15353(a,2,2,1))]. given #18724 (H,wt=37): 20596 K(x,L((y / (z \ 1)) / u,u,z \ 1)) = K(x,(y * K(w,L(v5,z \ 1,y * z))) / (u * (z \ K(w,v5)))). [hyper(19939,a,18403,a)]. given #18725 (H,wt=32): 20597 K(x,(y * K(z,L(u,w \ 1,y * w))) / (v5 * (w \ K(z,u)))) = K(x,y / (v5 * (w \ 1))). [hyper(236,a,15354,a(flip),b,20596,a(flip))]. given #18726 (H,wt=31): 20598 K(x,((y / (z \ 1)) * (z \ K(u,w))) / (v5 * (z \ K(u,w)))) = K(x,y / (v5 * (z \ 1))). [para(18402(a,1),20597(a,1,2,1))]. given #18727 (H,wt=39): 19266 (K(x,y) * (K(z,u) * (x * w))) \ ((K(z,u) * T(x,y)) * w) = L(a(K(z,u),x,w),K(z,u) * (x * w),K(x,y)). [para(19146(a,1),455(a,1,2))]. given #18728 (H,wt=37): 20599 L(a(K(x,y),z,u),K(x,y) * (z * u),K(z,w)) = (K(x,y) * (T(z,w) * u)) \ ((K(x,y) * T(z,w)) * u). [para(17974(a,1),19266(a,1,1)),flip(a)]. given #18729 (H,wt=26): 20600 L(a(K(x,y),z,u),K(x,y) * (z * u),K(z,w)) = a(K(x,y),T(z,w),u). [hyper(236,a,24,a,b,20599,a)]. given #18730 (H,wt=26): 20601 L(a(K(x,y),z,u),K(x,y) * (z * u),K(z,w)) = a(x,T(z,w),K(u,y)). [hyper(236,a,13987,a(flip),b,20600,a)]. given #18731 (H,wt=26): 20602 L(a(x,y,K(z,u)),K(x,u) * (y * z),K(y,w)) = a(x,T(y,w),K(z,u)). [para(13987(a,1),20601(a,1,1))]. given #18732 (H,wt=18): 20603 a(x,T(y,z),K(u,w)) != v5 | a(x,y,K(u,w)) = v5. [para(20602(a,1),14778(a,1))]. given #18733 (H,wt=20): 20604 a(x,y \ z,K(u,w)) != v5 | a(x,z / y,K(u,w)) = v5. [para(121(a,1),20603(a,1,2))]. given #18734 (H,wt=39): 19455 K(((x \ y) * T(x,z)) \ (u * T(x,z)),K(x,z) * (u \ T(y,x))) = K((x \ y) \ u,u \ ((x \ y) * T(x,z))). [hyper(13457,a,19425,a),flip(a)]. given #18735 (H,wt=37): 20605 K(((x \ y) * T(x,y)) \ (z * T(x,y)),T(z \ y,K(y,x))) = K((x \ y) \ z,z \ ((x \ y) * T(x,y))). [para(14435(a,1),19455(a,1,2))]. given #18736 (H,wt=33): 20606 K(((x \ y) * T(x,y)) \ (z * T(x,y)),z \ y) = K((x \ y) \ z,z \ ((x \ y) * T(x,y))). [hyper(16173,a,20605,a)]. given #18737 (H,wt=33): 20608 K((T(x,y) \ (z * T(y,x))) * K(x,y),z \ x) = K((y \ x) \ z,z \ ((y \ x) * T(y,x))). [hyper(236,a,19559,a(flip),b,20606,a(flip)),flip(a)]. given #18738 (H,wt=27): 20609 K((x \ y) \ z,z \ ((x \ y) * T(x,y))) = K(y \ (z * T(x,y)),z \ y). [hyper(16237,a,20608,a),flip(a)]. given #18739 (H,wt=27): 20610 K((x \ y) \ z,z \ ((x \ y) * T(x,y))) = K(y \ (z * x),T(z \ y,y)). [hyper(236,a,15776,a(flip),b,20609,a)]. given #18740 (H,wt=25): 20611 K((x \ y) \ z,z \ ((x \ y) * T(x,y))) = K(y \ (z * x),y / z). [hyper(236,a,8066,a(flip),b,20610,a)]. given #18741 (H,wt=25): 20612 K((x \ y) \ z,K(x,y) * (z \ T(y,x))) = K(y \ (z * x),y / z). [hyper(236,a,19425,a(flip),b,20611,a(flip)),flip(a)]. given #18742 (H,wt=23): 20613 K((x \ y) \ z,T(z \ y,K(y,x))) = K(y \ (z * x),y / z). [para(14435(a,1),20612(a,1,2))]. given #18743 (H,wt=19): 20614 K((x \ y) \ z,z \ y) = K(y \ (z * x),y / z). [hyper(16173,a,20613,a)]. given #18744 (H,wt=28): 20616 a(x,y,K(z \ (y * u),z / y)) * K(x,(y * u) / z) = K(x,y / (z / u)). [para(20614(a,1),20035(a,1,1,3))]. given #18745 (H,wt=28): 20617 a(x,y,K(z \ (y * u),y \ z)) * K(x,(y * u) / z) = K(x,y / (z / u)). [para(17993(a,1),20616(a,1,1))]. given #18746 (H,wt=24): 20618 a(x,y,K(z,y \ u)) * K(x,(y * z) / u) = K(x,y / (u / z)). [para(11747(a,1),20617(a,1,1))]. given #18747 (H,wt=24): 20619 K((x * y) / z,u) * K(u,x / (z / y)) = a(u,x,K(y,x \ z)). [hyper(18,a,16167,a,b,20618,a),flip(a)]. given #18748 (H,wt=28): 20620 (x * a(x,y,K(z,y \ u))) * K(x,(y * z) / u) = x * K(x,y / (u / z)). [para(20618(a,1),8232(a,2,2))]. given #18749 (H,wt=26): 20625 L(x,y,K(z,y \ u)) * K(x,(y * z) / u) = x * K(x,y / (u / z)). [para(14672(a,1),20620(a,1,1))]. given #18750 (H,wt=26): 20626 L(x * K(x,(y * z) / u),y,K(z,y \ u)) = x * K(x,y / (u / z)). [hyper(19994,a,20625,a)]. given #18751 (H,wt=24): 20627 L(T(x,(y * z) / u),y,K(z,y \ u)) = x * K(x,y / (u / z)). [para(4887(a,2),20626(a,1,1))]. given #18752 (H,wt=22): 20628 L(T(x,(y * z) / u),y,K(z,y \ u)) = T(x,y / (u / z)). [hyper(236,a,4887,a,b,20627,a)]. given #18753 (H,wt=32): 20622 K(x,y * (a(z,u,K(w,u \ v5)) * K(z,v5 \ (u * w)))) = K(x,y * K(z,u / (v5 / w))). [para(20618(a,1),16783(a,1,2,2)),flip(a)]. given #18754 (H,wt=23): 20629 K(x,y * K(z,u / (w / v5))) = K(x,y * K(z,w \ (u * v5))). [hyper(236,a,18122,a(flip),b,20622,a(flip))]. given #18755 (H,wt=32): 20631 K(x,(y / T(z,u / (w / v5))) * a(v6,v7,K(v8,v9))) = K(x,(y / z) * K(z,w \ (u * v5))). [hyper(236,a,18485,a,b,20629,a(flip)),flip(a)]. given #18756 (H,wt=32): 20632 K(x,(y / T(z,u / (w / v5))) * a(v6,v7,K(v8,v9))) = K(x,y * (z \ K(z,w \ (u * v5)))). [hyper(236,a,19203,a(flip),b,20631,a)]. given #18757 (H,wt=30): 20633 K(x,(y / T(z,u / (w / v5))) * a(v6,v7,K(v8,v9))) = K(x,y / T(z,w \ (u * v5))). [hyper(236,a,19256,a(flip),b,20632,a)]. given #18758 (H,wt=23): 20634 K(x,y / T(z,u / (w / v5))) = K(x,y / T(z,w \ (u * v5))). [hyper(18064,a,20633,a)]. given #18759 (H,wt=34): 20623 a(x,y,K(z,y \ u)) * K(x,(y * L(z,w,K(v5,v6))) / u) = K(x,y / (u / L(z,w,K(v5,v6)))). [para(17692(a,1),20618(a,1,1,3))]. given #18760 (H,wt=39): 19693 K(x,T((y * (y \ (z \ y))) \ u,(y \ (z \ y)) \ u)) = K(x,T(u,y \ (z \ y)) / ((z \ y) * K(z \ 1,y))). [para(5695(a,1),19690(a,2,2,2))]. given #18761 (H,wt=35): 20635 K(x,T((y \ z) \ u,(z \ (y \ z)) \ u)) = K(x,T(u,z \ (y \ z)) / ((y \ z) * K(y \ 1,z))). [para(14(a,1),19693(a,1,2,1,1))]. given #18762 (H,wt=35): 20636 K(x,T((y \ z) \ u,(y \ z) \ (u * z))) = K(x,T(u,z \ (y \ z)) / ((y \ z) * K(y \ 1,z))). [hyper(18033,a,20635,a)]. given #18763 (H,wt=29): 20638 K(x,T(y,z \ (u \ z)) / ((u \ z) * K(u \ 1,z))) = K(x,T((u \ z) \ y,z)). [hyper(10789,a,20636,a),flip(a)]. given #18764 (H,wt=29): 20639 K(x,(T(y,z \ (u \ z)) / (u \ z)) * K(z,u \ 1)) = K(x,T((u \ z) \ y,z)). [hyper(19392,a,20638,a)]. given #18765 (H,wt=27): 20640 K(x,(T(y,z \ (u \ z)) / (u \ z)) * K(u,z)) = K(x,T((u \ z) \ y,z)). [hyper(16417,a,20639,a)]. given #18766 (H,wt=27): 20641 K(x,T(y,z \ (u \ z)) * ((u \ z) \ K(u,z))) = K(x,T((u \ z) \ y,z)). [hyper(19296,a,20640,a)]. given #18767 (H,wt=25): 20642 K(x,T(y,z \ (u \ z)) / (T(u,z) \ z)) = K(x,T((u \ z) \ y,z)). [hyper(14545,a,20641,a)]. given #18768 (H,wt=23): 20643 K(x,T(y,z \ (u \ z)) / (z / u)) = K(x,T((u \ z) \ y,z)). [hyper(19478,a,20642,a)]. given #18769 (H,wt=19): 20644 K(x,T((y \ z) \ u,z)) = K(x,T(u,y) / (z / y)). [hyper(236,a,19262,a(flip),b,20643,a(flip))]. given #18770 (H,wt=21): 20646 K(x,T((y \ z) \ (y \ u),z)) = K(x,(u / y) / (z / y)). [hyper(236,a,17438,a(flip),b,20644,a)]. given #18771 (H,wt=29): 20647 K(x,(((y \ z) \ u) * w) / (K(z,(y \ z) \ u) * w)) = K(x,T(u,y) / (z / y)). [para(5354(a,2),20644(a,1,2))]. given #18772 (H,wt=29): 20649 K(x,(((y \ z) \ u) * w) / (K(z,z \ (y * u)) * w)) = K(x,T(u,y) / (z / y)). [para(14580(a,1),20647(a,1,2,2,1))]. given #18773 (H,wt=29): 20650 K(x,(((y \ z) \ u) * w) * (w \ K(z \ (y * u),z))) = K(x,T(u,y) / (z / y)). [hyper(19398,a,20649,a)]. given #18774 (H,wt=27): 20651 K(x,(((y \ z) \ u) * w) * (w \ K(y * u,z))) = K(x,T(u,y) / (z / y)). [hyper(236,a,19507,a(flip),b,20650,a(flip)),flip(a)]. given #18775 (H,wt=23): 20652 K(x,((y \ z) \ u) * K(y * u,z)) = K(x,T(u,y) / (z / y)). [hyper(236,a,19241,a(flip),b,20651,a(flip)),flip(a)]. given #18776 (H,wt=21): 20653 K(x,(y \ T(z,y * u)) \ u) = K(x,T(u,y) / (z / y)). [hyper(236,a,19274,a(flip),b,20652,a(flip)),flip(a)]. given #18777 (H,wt=35): 20648 K(x,T((T(y * z,y) \ u) \ ((z * y) \ w),u)) = K(x,(w / T(y * z,y)) / (u / T(y * z,y))). [hyper(19687,a,20646,a)]. given #18778 (H,wt=33): 20655 K(x,(y / T(z * u,z)) / (z / T(z * u,z))) = K(x,T((z / (z * u)) \ ((u * z) \ y),z)). [hyper(236,a,19763,a(flip),b,20648,a(flip))]. given #18779 (H,wt=33): 20656 K(x,(y / T(z * u,z)) / (z / T(z * u,z))) = K(x,T(((u * z) \ z) \ ((u * z) \ y),z)). [hyper(236,a,20402,a(flip),b,20655,a)]. given #18780 (H,wt=31): 20657 K(x,(y / T(z * u,z)) / (z / T(z * u,z))) = K(x,(y / (u * z)) / (z / (u * z))). [hyper(236,a,20646,a(flip),b,20656,a)]. given #18781 (H,wt=31): 20658 K(x,(y / T(z * u,z)) / (z / T(z * u,z))) = K(x,(y / (u * z)) / ((z * u) \ z)). [hyper(236,a,20229,a(flip),b,20657,a)]. given #18782 (H,wt=39): 19899 (x / (K(x,x \ y) * z)) * (y / (x / (K(x,x \ y) * z))) = y * K((K(x,x \ y) * z) \ x,(y / x) * z). [para(5571(a,1),19896(a,1,2,2)),flip(a)]. given #18783 (H,wt=39): 20253 K(x,K(y,z * (T(u,w) * v5))) * K(x,y * ((z * ((w * u) / w)) \ v5)) = K(x,((z * ((w * u) / w)) \ v5) * y). [para(18541(a,1),20243(a,1,1,2))]. given #18784 (H,wt=37): 20660 K(x,K(y,z * (u * w))) * K(x,y * ((z * ((v5 * u) / v5)) \ w)) = K(x,((z * ((v5 * u) / v5)) \ w) * y). [para(17099(a,1),20253(a,1,1))]. given #18785 (H,wt=39): 20595 (K(x,K(y,z)) \ (u * w)) \ ((K(x,K(y,z)) * u) * (w * v5)) = L(v5,L(w,u,K(x,K(y,z))),K(x,K(y,z)) * u). [para(7964(a,2),17671(a,1,1))]. given #18786 (H,wt=39): 20621 a(x,y,K(a(z,u,u \ 1),y \ w)) * K(x,(a(z,u,u \ 1) * y) / w) = K(x,y / (w / a(z,u,u \ 1))). [para(13894(a,2),20618(a,1,2,2,1))]. given #18787 (H,wt=39): 20654 K(x,((y \ z) \ T(u,y \ (w * (z / w)))) \ K(w,w \ z)) = K(x,T(K(w,w \ z),y \ z) / (u / (y \ z))). [para(15624(a,1),20653(a,1,2,1,2,2))]. given #18788 (H,wt=37): 20664 K(x,((y \ z) \ T(u,y \ T(z,w))) \ K(w,w \ z)) = K(x,T(K(w,w \ z),y \ z) / (u / (y \ z))). [para(16397(a,1),20654(a,1,2,1,2))]. given #18789 (H,wt=35): 20665 K(x,T(K(y,y \ z),u \ z) / (w / (u \ z))) = K(x,((u \ z) \ T(w,u \ T(z,y))) \ K(y,z)). [hyper(236,a,13093,a(flip),b,20664,a(flip))]. given #18790 (H,wt=35): 20666 K(x,T(K(y,y \ z),u \ z) / (w / (u \ z))) = K(x,K(y,z) * (T(w,u \ T(z,y)) \ (u \ z))). [hyper(236,a,19352,a(flip),b,20665,a)]. given #18791 (H,wt=33): 20667 K(x,T(K(y,y \ z),u \ z) / (w / (u \ z))) = K(x,T(w,u \ T(z,y)) \ (u \ T(z,y))). [hyper(236,a,19293,a(flip),b,20666,a)]. given #18792 (H,wt=27): 20668 K(x,T(K(y,y \ z),u \ z) / (w / (u \ z))) = K(x,(u \ T(z,y)) / w). [hyper(236,a,13146,a(flip),b,20667,a)]. given #18793 (H,wt=27): 20669 K(x,K(y,T(y \ z,u \ z)) / (w / (u \ z))) = K(x,(u \ T(z,y)) / w). [para(7256(a,2),20668(a,1,2,1))]. given #18794 (H,wt=25): 20670 K(x,K(y,T(y \ z,u)) / (w / (u \ z))) = K(x,(u \ T(z,y)) / w). [para(9351(a,1),20669(a,1,2,1))]. given #18795 (H,wt=25): 20671 K(x,(y / (z \ u)) \ K(w,T(w \ u,z))) = K(x,(z \ T(u,w)) / y). [hyper(16169,a,20670,a)]. given #18796 (H,wt=23): 20672 K(x,(y / (z \ u)) \ K(w,w \ u)) = K(x,(z \ T(u,w)) / y). [hyper(17933,a,20671,a)]. given #18797 (H,wt=21): 20673 K(x,(y / (z \ u)) \ K(w,u)) = K(x,(z \ T(u,w)) / y). [hyper(236,a,13093,a(flip),b,20672,a(flip)),flip(a)]. given #18798 (H,wt=21): 20674 K(x,(y \ z) * (u \ K(w,z))) = K(x,(y \ T(z,w)) / u). [hyper(19404,a,20673,a)]. given #18799 (H,wt=21): 20675 K(x,(y \ (z * (u / z))) / w) = K(x,(y \ T(u,z)) / w). [hyper(236,a,19503,a,b,20674,a(flip)),flip(a)]. given #18800 (H,wt=39): 20659 (x / (K(x,x \ y) * z)) * (y / (x / (K(x,x \ y) * z))) = y * K((z \ x) * K(x \ y,x),(y / x) * z). [para(14468(a,1),19899(a,2,2,1))]. given #18801 (H,wt=37): 20676 (x / (K(x,x \ y) * z)) * (y / (x / (K(x,x \ y) * z))) = y * K(K(y,x) * (z \ x),(y / x) * z). [para(16270(a,1),20659(a,2,2))]. given #18802 (H,wt=35): 20677 (x / (K(x,x \ y) * z)) * (y / (x / (K(x,x \ y) * z))) = y * K(z \ T(x,y),(y / x) * z). [para(16268(a,1),20676(a,2,2))]. given #18803 (H,wt=35): 20678 ((x / y) * K(x \ z,x)) * (z / (x / (K(x,x \ z) * y))) = z * K(y \ T(x,z),(z / x) * y). [para(18667(a,1),20677(a,1,1))]. given #18804 (H,wt=35): 20679 ((x / y) * K(x \ z,x)) * (z / ((x / y) * K(x \ z,x))) = z * K(y \ T(x,z),(z / x) * y). [para(18667(a,1),20678(a,1,2,2))]. given #18805 (H,wt=35): 20680 (x / y) * T(z / T(x / y,K(x \ z,x)),K(x \ z,x)) = z * K(y \ T(x,z),(z / x) * y). [hyper(236,a,19832,a(flip),b,20679,a(flip)),flip(a)]. given #18806 (H,wt=33): 20681 (x / y) * T(z / T(x / y,K(z,x)),K(x \ z,x)) = z * K(y \ T(x,z),(z / x) * y). [para(9313(a,1),20680(a,1,2,1,2))]. given #18807 (H,wt=33): 20682 (x / y) * T(T(z / (x / y),K(z,x)),K(x \ z,x)) = z * K(y \ T(x,z),(z / x) * y). [para(9428(a,1),20681(a,1,2,1))]. given #18808 (H,wt=31): 20683 (x / y) * T(T(z / (x / y),K(z,x)),K(z,x)) = z * K(y \ T(x,z),(z / x) * y). [para(9313(a,1),20682(a,1,2))]. given #18809 (H,wt=23): 20684 x * K(y \ T(z,x),(x / z) * y) = (z / y) * (x / (z / y)). [para(7983(a,1),20683(a,1,2)),flip(a)]. given #18810 (H,wt=21): 20686 x * K(y \ z,y * (x / z)) = (z / y) * (x / (z / y)). [para(20203(a,1),20684(a,1,2))]. given #18811 (H,wt=25): 20687 T((x / y) * (z / (x / y)),K(x,y)) = z * K(y \ x,(z / x) * y). [para(20686(a,1),17122(a,1,1))]. given #18812 (H,wt=39): 20662 (K(x,K(y,z)) \ (u * w)) \ ((K(K(y,z),x) \ u) * (w * v5)) = L(v5,L(w,u,K(x,K(y,z))),K(x,K(y,z)) * u). [para(5260(a,2),20595(a,1,2,1))]. given #18813 (H,wt=39): 20663 a(x,y,a(z,u,K(u \ 1,y \ w))) * K(x,(a(z,u,u \ 1) * y) / w) = K(x,y / (w / a(z,u,u \ 1))). [para(13871(a,2),20621(a,1,1,3))]. given #18814 (H,wt=39): 20688 (K(x,K(y,z)) \ (u * w)) \ ((K(y,K(x,z)) \ u) * (w * v5)) = L(v5,L(w,u,K(x,K(y,z))),K(x,K(y,z)) * u). [para(7935(a,1),20662(a,1,2,1,1))]. given #18815 (H,wt=39): 20689 (K(x,K(y,z)) \ (u * w)) \ (K(x,K(y,z)) \ (u * (w * v5))) = L(v5,L(w,u,K(x,K(y,z))),K(x,K(y,z)) * u). [para(17895(a,2),20688(a,1,2))]. given #18816 (H,wt=27): 20690 L(x,L(y,z,K(u,K(w,v5))),K(u,K(w,v5)) * z) = (z * y) \ (z * (y * x)). [hyper(236,a,17852,a(flip),b,20689,a(flip))]. given #18817 (H,wt=22): 20692 L(x,L(y,z,K(u,K(w,v5))),K(u,K(w,v5)) * z) = L(x,y,z). [hyper(236,a,28,a,b,20690,a)]. given #18818 (H,wt=15): 20693 L(x,y,K(z,K(u,w)) * v5) = L(x,y,v5). [para(17657(a,1),20692(a,1,2))]. given #18819 (H,wt=15): 20694 L(x,y,z * K(u,K(w,v5))) = L(x,y,z). [hyper(236,a,17744,a(flip),b,20693,a(flip)),flip(a)]. given #18820 (H,wt=15): 20695 L(x,y,K(z,T(u,w))) = L(x,y,K(z,u)). [para(7265(a,1),20693(a,1,3))]. given #18821 (H,wt=17): 20696 L(x,y,K(z,u / w)) = L(x,y,K(z,w \ u)). [para(9379(a,1),20693(a,1,3))]. given #18822 (H,wt=19): 20700 L(x,y,K(z \ (u \ z),w)) = L(x,y,K(u \ 1,w)). [para(7370(a,2),20695(a,1,3))]. given #18823 (H,wt=19): 20701 L(T(x,y),z,K(y,u / w)) = T(x,L(y,z,u \ w)). [hyper(236,a,14740,a(flip),b,20696,a)]. given #18824 (H,wt=19): 20703 L(x,y,K(z \ 1,(u \ (z \ u)) \ y)) != w | w = x. [para(20700(a,1),11112(a,1))]. given #18825 (H,wt=14): 20705 L(x,y,K((z \ (u \ z)) \ y,u)) = x. [hyper(20703,a,14714,a)]. given #18826 (H,wt=17): 20706 L(x,y,K((z \ (u \ z)) \ y,u)) != w | w = x. [para(14714(a,1),20703(a,1))]. given #18827 (H,wt=21): 20699 x * (y * a(z,u,K(y * x,w))) = L(x * y,u,K(w,z)). [hyper(236,a,14884,a,b,20695,a(flip)),flip(a)]. given #18828 (H,wt=22): 20697 L(L(x,y,z),u,K(w,K(v5,v6))) = L(x,y,z * K(v7,K(v8,v9))). [hyper(236,a,17657,a,b,20694,a),flip(a)]. given #18829 (H,wt=18): 20711 L(x,y,z * K(u,K(w,v5))) != v6 | L(x,y,z) = v6. [para(20697(a,1),326(a,1)),flip(b)]. given #18830 (H,wt=18): 20714 L(x,y,K(z,K(u,w)) * v5) != v6 | L(x,y,v5) = v6. [para(7249(a,1),20711(a,1,3))]. given #18831 (H,wt=20): 20712 L(x,y,z * T(u,K(w,v5))) != v6 | L(x,y,z * u) = v6. [para(1251(a,1),20711(a,1,3))]. given #18832 (H,wt=20): 20713 L(x,y,T(z,K(u,w)) * v5) != v6 | L(x,y,z * v5) = v6. [para(5689(a,1),20711(a,1,3))]. given #18833 (H,wt=27): 20716 L(x,y,T((z \ u) \ w,K(z,v5)) * (z \ u)) = L(x,y,T(w,T(z,v5) \ u)). [hyper(20712,a,18718,a)]. given #18834 (H,wt=23): 20717 L(x,y,T(z,T(u,w) \ v5)) = L(x,y,((u \ v5) \ z) * (u \ v5)). [hyper(20713,a,20716,a),flip(a)]. given #18835 (H,wt=19): 20718 L(x,y,T(z,T(u,w) \ v5)) = L(x,y,T(z,u \ v5)). [hyper(236,a,13510,a(flip),b,20717,a)]. given #18836 (H,wt=23): 20719 L(x,y,T(z * K(u,w),w \ z)) = L(x,y,w * (z / T(w,u))). [hyper(236,a,16572,a(flip),b,20718,a(flip))]. given #18837 (H,wt=28): 20715 L(x,y,K(z,u) * (T(w,K(v5,v6)) * v7)) != v8 | L(x,y,K(z,u) * (w * v7)) = v8. [para(17974(a,1),20714(a,1,3))]. given #18838 (H,wt=33): 20702 (x \ y) \ (x \ L(T(y,(z * u) / w),v5,K(u,z \ w))) = K(y,L((z * u) / w,v5,u \ 1)). [para(20696(a,1),15095(a,1,2,2))]. given #18839 (H,wt=26): 20721 K(x,L((y * z) / u,y,z \ 1)) = (w \ x) \ (w \ T(x,y / (u / z))). [para(20628(a,1),20702(a,1,2,2)),flip(a)]. given #18840 (H,wt=23): 20722 K(x,L((y * z) / u,y,z \ 1)) != w | K(x,y / (u / z)) = w. [para(20721(a,2),14437(a,1))]. given #18841 (H,wt=19): 20724 K(x,y / (z * ((y * u) \ y))) = K(x,y / (z / u)). [hyper(20722,a,15466,a),flip(a)]. given #18842 (H,wt=20): 20725 K(x,L((y * z) / u,u,z \ 1)) = K(x,y / (u / z)). [hyper(20722,a,14917,a(flip)),flip(a)]. given #18843 (H,wt=20): 20731 K(x,L(y / z,z,u \ 1)) = K(x,(y / u) / (z / u)). [para(16(a,1),20725(a,1,2,1,1))]. given #18844 (H,wt=22): 20726 K(x,y / (z * ((y * u) \ y))) != w | K(x,y / (z / u)) = w. [para(15466(a,1),20722(a,1))]. given #18845 (H,wt=22): 20727 K(x,((y * z) / u) / y) != w | K(x,y / ((y * u) / z)) = w. [para(20007(a,1),20722(a,1))]. given #18846 (H,wt=22): 20734 K(x,y / ((y * L(z,u,z)) / w)) = K(x,((y * w) / z) / y). [hyper(20727,a,13090,a)]. given #18847 (H,wt=23): 20729 K(x,T(y,z) / (u * ((y * w) \ y))) = K(x,T(y,z) / (u / w)). [para(14471(a,1),20724(a,1,2,2,2))]. given #18848 (H,wt=23): 20730 K(x,((y * z) * (z \ 1)) / (u * (z \ 1))) = K(x,y / (u / z)). [hyper(236,a,15353,a(flip),b,20725,a(flip)),flip(a)]. given #18849 (H,wt=22): 20737 K(x,R(y,z,z \ 1) / (u * (z \ 1))) = K(x,y / (u / z)). [para(189(a,1),20730(a,1,2,1))]. given #18850 (H,wt=22): 20738 K(x,L(y,z,z \ 1) / (u * (z \ 1))) = K(x,y / (u / z)). [hyper(18645,a,20737,a)]. given #18851 (H,wt=24): 20723 K(x,((y / L(z \ 1,z,y)) * u) / y) = K(x,y / ((y / u) / z)). [hyper(20722,a,18413,a),flip(a)]. given #18852 (H,wt=19): 20740 K(x,((y * z) * u) / y) = K(x,y / ((y / u) / z)). [para(353(a,1),20723(a,1,2,1,1))]. given #18853 (H,wt=25): 20735 K(x,y / ((y * L(z,u,z)) / w)) != v5 | K(x,y / ((y * z) / w)) = v5. [para(20734(a,2),20727(a,1))]. given #18854 (H,wt=26): 20732 K(x,L(y / z,z,u \ (w \ 1))) = K(x,(y / (w * u)) / (z / (w * u))). [hyper(14944,a,20731,a)]. given #18855 (H,wt=28): 20742 K(x,L(y / z,u \ 1,z \ (u \ 1))) = K(x,(y / (u * z)) / (z / (u * z))). [hyper(14595,a,20732,a)]. given #18856 (H,wt=28): 20743 K(x,L(y / z,u \ 1,z \ (u \ 1))) = K(x,(y / (u * z)) / ((z * u) \ z)). [hyper(236,a,20229,a(flip),b,20742,a)]. given #18857 (H,wt=27): 20744 K(x,(y / (z * u)) / ((u * z) \ u)) = K(x,(y * (u \ (z \ 1))) / (z \ 1)). [hyper(236,a,15461,a(flip),b,20743,a(flip))]. given #18858 (H,wt=25): 20745 K(x,(y / (z * u)) / ((u * z) \ u)) = K(x,(y * (u \ (z \ 1))) * z). [hyper(236,a,14131,a(flip),b,20744,a)]. given #18859 (H,wt=29): 20728 K(x,y / ((z * K((y * u) \ y,w)) / u)) = K(x,y / (z * T((y * u) \ y,w))). [para(6188(a,1),20724(a,1,2,2)),flip(a)]. given #18860 (H,wt=27): 20747 K(x,y / ((z * K(u \ 1,w)) / u)) = K(x,y / (z * T((y * u) \ y,w))). [para(6294(a,1),20728(a,1,2,2,1,2))]. given #18861 (H,wt=27): 20748 K(x,y / ((z / u) * K(u \ 1,w))) = K(x,y / (z * T((y * u) \ y,w))). [para(5987(a,1),20747(a,1,2,2))]. given #18862 (H,wt=27): 20750 K(x,y / (z * T((y * u) \ y,w))) = K(x,y * ((z / u) \ K(w,u \ 1))). [hyper(19399,a,20748,a),flip(a)]. given #18863 (H,wt=25): 20751 K(x,y / (z * T((y * u) \ y,w))) = K(x,y * ((z / u) \ K(u,w))). [hyper(236,a,18337,a(flip),b,20750,a)]. given #18864 (H,wt=23): 20752 K(x,y / (z * T((y * u) \ y,w))) = K(x,y / (z / T(u,w))). [hyper(236,a,16795,a(flip),b,20751,a)]. given #18865 (H,wt=29): 20741 K(x,T(y,z) / ((T(y,z) / u) / z)) = K(x,((y * ((y * z) / y)) * u) / T(y,z)). [para(3875(a,1),20740(a,1,2,1,1)),flip(a)]. given #18866 (H,wt=27): 20753 K(x,T(y,z) / ((T(y,z) / u) / z)) = K(x,(T(y * z,y) * u) / T(y,z)). [hyper(236,a,20338,a(flip),b,20741,a)]. given #18867 (H,wt=29): 20746 K(x,(y / T(z * u,z)) / (z / T(z * u,z))) = K(x,(y * (z \ (u \ 1))) * u). [hyper(236,a,20658,a,b,20745,a(flip)),flip(a)]. given #18868 (H,wt=27): 20754 K(x,(y / T(z * u,z)) / ((z * u) \ z)) = K(x,(y * (z \ (u \ 1))) * u). [hyper(236,a,19545,a(flip),b,20746,a(flip)),flip(a)]. given #18869 (H,wt=27): 20755 K(x,(y / (z * u)) / (T(z * u,z) \ z)) = K(x,(y * (z \ (u \ 1))) * u). [hyper(236,a,18488,a(flip),b,20754,a(flip)),flip(a)]. given #18870 (H,wt=25): 20756 K(x,(y / (z * u)) / ((u * z) \ z)) = K(x,(y * (z \ (u \ 1))) * u). [hyper(236,a,20218,a(flip),b,20755,a(flip)),flip(a)]. given #18871 (H,wt=30): 20733 K(x,y / (z * T((y * (1 / u)) \ y,w))) != v5 | K(x,y / (z / (1 / T(u,w)))) = v5. [para(9932(a,1),20726(a,1,2,2,2))]. given #18872 (H,wt=23): 20757 K(x,y / (z / (1 / T(u,w)))) = K(x,y / (z / T(1 / u,w))). [hyper(20733,a,20752,a)]. given #18873 (H,wt=23): 20758 K(x,y / (z / (1 / T(u,w)))) = K(x,y / (z / T(u \ 1,w))). [hyper(236,a,15012,a(flip),b,20757,a)]. given #18874 (H,wt=23): 20759 K(x,y / (z / (T(u,w) \ 1))) = K(x,y / (z / T(u \ 1,w))). [hyper(236,a,5752,a(flip),b,20758,a(flip)),flip(a)]. given #18875 (H,wt=30): 20760 K(x,y / (R(z,u \ 1,u) / (T(u \ 1,w) \ 1))) = K(x,y / (z * (T(u,w) \ 1))). [para(8600(a,1),20759(a,2,2,2))]. given #18876 (H,wt=23): 20761 K(x,y / (z * (T(u,w) \ 1))) = K(x,y / (z * T(u \ 1,w))). [para(10220(a,1),20760(a,1,2,2)),flip(a)]. given #18877 (H,wt=34): 20704 K(x,L(y,z,L(u / (w / v5),u,u \ w) \ 1)) = (v6 / y) \ (v6 / T(y,L(x,z,(u * v5) \ w))). [para(20701(a,1),18421(a,2,2,2))]. given #18878 (H,wt=28): 20763 K(x,L(y,z,L(u / (w / v5),u,u \ w) \ 1)) = K(L(x,z,(u * v5) \ w),y). [hyper(236,a,7587,a(flip),b,20704,a)]. given #18879 (H,wt=28): 20764 K(x,L(y,z,L(u / (w / v5),u,u \ w) \ 1)) = K(x,L(y,z,(u * v5) \ w)). [hyper(236,a,11533,a(flip),b,20763,a)]. given #18880 (H,wt=28): 20765 K(x,L(y,z,L((u / (w / v5)) \ 1,u,u \ w))) = K(x,L(y,z,(u * v5) \ w)). [hyper(14992,a,20764,a)]. given #18881 (H,wt=35): 20707 K(x,(y \ (y / (1 / (z \ 1)))) \ ((z \ 1) * u)) = (w \ x) \ (w \ T(x,(z * (y \ (y / z))) \ u)). [para(20705(a,1),15292(a,1,2,2)),flip(a)]. given #18882 (H,wt=29): 20766 K(x,(y \ (y / (1 / (z \ 1)))) \ ((z \ 1) * u)) = K(x,(z * (y \ (y / z))) \ u). [hyper(236,a,14436,a(flip),b,20707,a)]. given #18883 (H,wt=29): 20768 K(x,(y \ (y / (1 / (z \ 1)))) \ ((z \ 1) * u)) = K(x,(y \ (y / z)) \ (z \ u)). [hyper(236,a,15007,a(flip),b,20766,a)]. given #18884 (H,wt=25): 20769 K(x,(y \ (y / z)) \ ((z \ 1) * u)) = K(x,(y \ (y / z)) \ (z \ u)). [para(62(a,1),20768(a,1,2,1,2,2))]. given #18885 (H,wt=35): 20708 K(x,(y \ (y / ((z \ 1) \ 1))) \ ((z \ 1) * u)) = (w \ x) \ (w \ T(x,((y \ (y / z)) * z) \ u)). [para(20705(a,1),15294(a,1,2,2)),flip(a)]. given #18886 (H,wt=29): 20770 K(x,(y \ (y / ((z \ 1) \ 1))) \ ((z \ 1) * u)) = K(x,((y \ (y / z)) * z) \ u). [hyper(236,a,14436,a(flip),b,20708,a)]. given #18887 (H,wt=29): 20772 K(x,(y \ (y / ((z \ 1) \ 1))) \ ((z \ 1) * u)) = K(x,z \ ((y \ (y / z)) \ u)). [hyper(236,a,15008,a(flip),b,20770,a)]. given #18888 (H,wt=25): 20773 K(x,(y \ (y / z)) \ ((z \ 1) * u)) = K(x,z \ ((y \ (y / z)) \ u)). [hyper(14388,a,20772,a)]. given #18889 (H,wt=23): 20774 K(x,(y \ (y / z)) \ (z \ u)) = K(x,z \ ((y \ (y / z)) \ u)). [hyper(236,a,20769,a(flip),b,20773,a(flip)),flip(a)]. given #18890 (H,wt=23): 20775 K(x,(y * (z \ (z / y))) \ u) = K(x,y \ ((z \ (z / y)) \ u)). [hyper(236,a,15007,a,b,20774,a(flip)),flip(a)]. given #18891 (H,wt=37): 20739 K(x,K(y * (z \ 1),L(u,z,z \ 1))) \ K(x,u / (y / z)) = K(x,(y * (z \ 1)) \ L(u,z,z \ 1)). [hyper(72,a,20738,a(flip),b,9379,a)]. given #18892 (H,wt=32): 20776 K(x,(y * (z \ 1)) \ L(u,z,z \ 1)) = K(x,K(y * (z \ 1),u)) \ K(x,u / (y / z)). [para(13193(a,1),20739(a,1,1)),flip(a)]. given #18893 (H,wt=30): 20778 K(x,(y * (z \ 1)) \ L(u,z,z \ 1)) = K(x,K(u,z \ y)) \ K(x,u / (y / z)). [para(16098(a,1),20776(a,2,1))]. given #18894 (H,wt=30): 20780 K(x,(y * (z \ 1)) \ L(u,z,z \ 1)) = K(x,K(u,z \ y)) * K(x,u / (y / z)). [hyper(236,a,7964,a(flip),b,20778,a)]. given #18895 (H,wt=22): 20781 K(x,(y * (z \ 1)) \ L(u,z,z \ 1)) = K(x,(y / z) \ u). [hyper(236,a,16069,a(flip),b,20780,a)]. given #18896 (H,wt=18): 20783 K(x,(y * (z \ 1)) \ L(y,z,z \ 1)) = K(x,z). [para(65(a,1),20781(a,2,2))]. given #18897 (H,wt=16): 20784 K(x,(y \ 1) \ a(z,y,y \ 1)) = K(x,y). [hyper(236,a,20123,a(flip),b,20783,a(flip)),flip(a)]. given #18898 (H,wt=14): 20785 K(x,y * a(z,y,y \ 1)) = K(x,y). [hyper(14234,a,20784,a)]. given #18899 (H,wt=16): 20786 T(x,y * a(z,y,y \ 1)) = x * K(x,y). [para(20785(a,1),4887(a,2,2))]. given #18900 (H,wt=14): 20788 T(x,y * a(z,y,y \ 1)) = T(x,y). [hyper(236,a,4887,a,b,20786,a)]. given #18901 (H,wt=25): 20782 K(x,(y * (z \ 1)) \ L(u,z,z \ 1)) != w | K(x,(y / z) \ u) = w. [para(20780(a,2),16097(a,1))]. given #18902 (H,wt=25): 20790 x * (T(x,y) \ (y * a(z,y,y \ 1))) = T(y * a(z,y,y \ 1),x). [para(20788(a,1),4107(a,1,2,1))]. given #18903 (H,wt=23): 20791 K(x,y) * (x * a(z,x,x \ 1)) = T(x * a(z,x,x \ 1),y). [hyper(5213,a,20790,a)]. given #18904 (H,wt=21): 20792 T(x * a(y,x,x \ 1),z) = T(x,z) * a(y,x,x \ 1). [hyper(5216,a,20791,a),flip(a)]. given #18905 (H,wt=27): 20787 ((1 / x) \ a(y,x,x \ 1)) * K(x \ 1,x) = a(y,x,x \ 1) / (1 / x). [para(20785(a,1),7106(a,1,2))]. given #18906 (H,wt=21): 20795 a(x,y,y \ 1) / (y \ 1) = (1 / y) \ a(x,y,y \ 1). [hyper(18,a,6360,a,b,20787,a),flip(a)]. given #18907 (H,wt=28): 20794 T(x * a(y,x,x \ 1),z) != u * w | u \ (T(x,z) * a(y,x,x \ 1)) = w. [para(20792(a,2),545(a,1))]. given #18908 (H,wt=30): 20789 (x * a(y,x,x \ 1)) * T(z,x) != u * w | u \ (z * (x * a(y,x,x \ 1))) = w. [para(20788(a,1),549(a,1,2))]. given #18909 (H,wt=21): 20796 (a(x,y,y \ 1) * z) \ (z * (y * a(x,y,y \ 1))) = y. [hyper(20789,a,18780,a)]. given #18910 (H,wt=11): 20797 L(x,a(y,x,x \ 1),z) = x. [hyper(236,a,13909,a(flip),b,20796,a(flip)),flip(a)]. given #18911 (H,wt=21): 20798 (a(x,y,y \ 1) * z) * y = z * (y * a(x,y,y \ 1)). [para(20796(a,1),14(a,1,2))]. given #18912 (H,wt=21): 20799 (x * a(y,z,z \ 1)) * z = x * (z * a(y,z,z \ 1)). [para(13894(a,1),20798(a,1,1))]. given #18913 (H,wt=35): 20793 (1 / x) \ (T(1 / x,x) * a(y,1 / x,(1 / x) \ 1)) = (x \ a(y,1 / x,(1 / x) \ 1)) * x. [hyper(72,a,20792,a(flip),b,935,a)]. given #18914 (H,wt=33): 20800 (1 / x) \ ((x \ 1) * a(y,1 / x,(1 / x) \ 1)) = (x \ a(y,1 / x,(1 / x) \ 1)) * x. [para(121(a,1),20793(a,1,2,1))]. given #18915 (H,wt=29): 20801 (1 / x) \ ((x \ 1) * a(y,1 / x,x)) = (x \ a(y,1 / x,(1 / x) \ 1)) * x. [para(65(a,1),20800(a,1,2,2,3))]. given #18916 (H,wt=29): 20802 (1 / x) \ ((x \ 1) * a(y,x \ 1,x)) = (x \ a(y,1 / x,(1 / x) \ 1)) * x. [para(3626(a,1),20801(a,1,2,2))]. given #18917 (H,wt=27): 20803 (x \ a(y,1 / x,(1 / x) \ 1)) * x = K(x \ 1,x) * a(y,x \ 1,x). [hyper(5882,a,20802,a),flip(a)]. given #18918 (H,wt=23): 20804 K(x \ 1,x) * a(y,x \ 1,x) = (x \ a(y,1 / x,x)) * x. [para(65(a,1),20803(a,1,1,2,3)),flip(a)]. given #18919 (H,wt=23): 20805 K(x \ 1,x) * a(y,x \ 1,x) = (x \ a(y,x \ 1,x)) * x. [para(3626(a,1),20804(a,2,1,2))]. given #18920 (H,wt=27): 20807 K(x \ 1,x) * (a(y,x \ 1,x) * z) = ((x \ a(y,x \ 1,x)) * x) * z. [para(20805(a,1),3608(a,1,1)),flip(a)]. given #18921 (H,wt=27): 20808 (x * L(x \ 1,x,y * (x \ 1))) \ z = ((x \ a(y,x \ 1,x)) * x) * z. [hyper(236,a,20590,a,b,20807,a(flip)),flip(a)]. given #18922 (H,wt=27): 20809 ((x \ a((x \ 1) \ y,x \ 1,x)) * x) * z = (x * L(x \ 1,x,y)) \ z. [para(13511(a,1),20808(a,1,1,2)),flip(a)]. given #18923 (H,wt=38): 20736 K(x,L(T(((y * z) \ y) \ u,T(y,w)),(y * z) \ y,u \ T(y,w))) = K(x,T(y,w) / ((T(y,w) / u) / z)). [hyper(236,a,17820,a,b,20729,a(flip)),flip(a)]. given #18924 (H,wt=36): 20810 K(x,L(T(((y * z) \ y) \ u,T(y,w)),(y * z) \ y,u \ y)) = K(x,T(y,w) / ((T(y,w) / u) / z)). [hyper(236,a,19932,a(flip),b,20736,a(flip)),flip(a)]. given #18925 (H,wt=34): 20811 K(x,L(T(((y * z) \ y) \ u,y),(y * z) \ y,u \ y)) = K(x,T(y,w) / ((T(y,w) / u) / z)). [hyper(16412,a,20810,a)]. given #18926 (H,wt=27): 20813 K(x,T(y,z) / ((T(y,z) / u) / w)) = K(x,y / ((y / u) * ((y * w) \ y))). [hyper(17824,a,20811,a),flip(a)]. given #18927 (H,wt=23): 20814 K(x,T(y,z) / ((T(y,z) / u) / w)) = K(x,y / ((y / u) / w)). [hyper(236,a,20724,a(flip),b,20813,a)]. given #18928 (H,wt=23): 20816 K(x,(T(y * z,y) * u) / T(y,z)) = K(x,y / ((y / u) / z)). [hyper(236,a,20753,a(flip),b,20814,a(flip)),flip(a)]. given #18929 (H,wt=21): 20818 K(x,((y * z) * u) / T(z,y)) = K(x,z / ((z / u) / y)). [hyper(236,a,20341,a(flip),b,20816,a(flip)),flip(a)]. given #18930 (H,wt=25): 20819 K(x,y / ((y / (z / (u * y))) / u)) = K(x,T(z,u * y) / T(y,u)). [hyper(18509,a,20818,a),flip(a)]. given #18931 (H,wt=26): 20815 K(x,T(y,z) / ((T(y,z) / u) / w)) != v5 | K(x,y / ((y / u) / w)) = v5. [para(20813(a,2),20726(a,1))]. given #18932 (H,wt=26): 20821 K(x,(T(y * z,y) * u) / T(y,z)) != w | K(x,y / ((y / u) / z)) = w. [para(20753(a,1),20815(a,1))]. given #18933 (H,wt=37): 20820 K(x,(1 / y) / (((1 / y) / (z / (u * (1 / y)))) / u)) = K(x,((u / y) * (z / (u / y))) / T(1 / y,u)). [para(19898(a,1),20818(a,1,2,1)),flip(a)]. given #18934 (H,wt=35): 20822 K(x,(1 / y) / (((1 / y) / (z / (u * (1 / y)))) / u)) = K(x,((u / y) * (z / (u / y))) * T(y,u)). [hyper(236,a,19437,a(flip),b,20820,a)]. given #18935 (H,wt=31): 20823 K(x,(1 / y) / (((1 / y) / (z / (u * (1 / y)))) / u)) = K(x,T(z,u / y) * T(y,u)). [hyper(236,a,18505,a(flip),b,20822,a)]. given #18936 (H,wt=40): 18374 x * a(y,z * ((z \ u) * w),K((z * ((z \ u) * w)) \ u,u \ x)) = u * L(u \ x,x,K(L(w,z \ u,z),y)). [para(104(a,1),18023(a,1,2,3,1)),flip(a)]. given #18937 (H,wt=40): 18420 K(x,L(a(y,z,z \ 1) / (u / w),a(y,z,z \ 1),a(y,z,z \ 1) \ u)) = K(x,(w * a(y,z,z \ 1)) / u). [para(13894(a,1),18415(a,2,2,1))]. given #18938 (H,wt=25): 20825 K(x,(y * a(z,u,u \ 1)) / w) = K(x,a(z,u,u \ 1) / (w / y)). [hyper(20107,a,18420,a),flip(a)]. given #18939 (H,wt=25): 20827 K(x,(y * a(z,u,u \ 1)) / w) = K(x,(w / y) \ a(z,u,u \ 1)). [hyper(236,a,17713,a(flip),b,20825,a)]. given #18940 (H,wt=25): 20828 K(x,(a(y,z,z \ 1) * u) / w) = K(x,(w / u) \ a(y,z,z \ 1)). [hyper(18108,a,20827,a)]. given #18941 (H,wt=40): 19793 K((a(x \ 1,x,y) \ z) / ((u \ (y \ L(y,x,x \ 1))) * z),w) != v5 | K(u,L(w,y \ L(y,x,x \ 1),z)) = v5. [para(19789(a,1),15393(a,1,1,1))]. given #18942 (H,wt=33): 20829 K((x \ (y \ L(y,z,z \ 1))) \ a(y,z,z \ 1),u) = K(x,L(u,y \ L(y,z,z \ 1),w)). [hyper(19793,a,20114,a),flip(a)]. given #18943 (H,wt=33): 20830 K((x \ L(x,y,y \ 1)) \ (z * a(x,y,y \ 1)),u) = K(z,L(u,x \ L(x,y,y \ 1),w)). [hyper(236,a,20105,a(flip),b,20829,a(flip)),flip(a)]. given #18944 (H,wt=31): 20831 K(a(x \ 1,x,y) * (z * a(y,x,x \ 1)),u) = K(z,L(u,y \ L(y,x,x \ 1),w)). [para(19792(a,1),20830(a,1,1))]. given #18945 (H,wt=24): 20832 K(a(x \ 1,x,y) * (z * a(y,x,x \ 1)),u) != w | K(z,u) = w. [para(20831(a,2),8342(a,1))]. given #18946 (H,wt=17): 20833 K(x,L(y,z \ L(z,u,u \ 1),w)) = K(x,y). [hyper(20832,a,20831,a),flip(a)]. given #18947 (H,wt=17): 20836 K(x,L(y,a(z \ 1,z,u) \ 1,w)) = K(x,y). [hyper(20342,a,20833,a)]. given #18948 (H,wt=20): 20834 K(x,L(y,z \ L(z,u,u \ 1),w)) != v5 | K(x,y) = v5. [para(20831(a,1),20832(a,1))]. given #18949 (H,wt=27): 20837 K(x,(y \ z) \ (a(u \ 1,u,w) \ 1)) = K(x,z \ (a(u \ 1,u,w) \ y)). [hyper(236,a,19787,a(flip),b,20836,a(flip))]. given #18950 (H,wt=40): 20027 (K(x,y) * z) * R((K(x,y) * z) \ u,z,z \ (K(x,y) * z)) = ((u / z) * (K(y,x) * z)) * (z \ (K(x,y) * z)). [para(20025(a,1),808(a,2,1))]. given #18951 (H,wt=38): 20839 (K(x,y) * z) * R((K(x,y) * z) \ u,z,T(K(x,y),z)) = ((u / z) * (K(y,x) * z)) * (z \ (K(x,y) * z)). [para(32(a,2),20027(a,1,2,3))]. given #18952 (H,wt=38): 20840 (K(x,y) * z) * R((K(x,y) * z) \ u,z,K(x,T(y,z))) = ((u / z) * (K(y,x) * z)) * (z \ (K(x,y) * z)). [para(7256(a,2),20839(a,1,2,3))]. given #18953 (H,wt=31): 20841 ((x / y) * (K(z,u) * y)) * (y \ (K(u,z) * y)) = K(u,z) * (y * ((K(u,z) * y) \ x)). [hyper(15597,a,20840,a),flip(a)]. given #18954 (H,wt=29): 20842 ((x / y) * (K(z,u) * y)) * T(K(u,z),y) = K(u,z) * (y * ((K(u,z) * y) \ x)). [hyper(236,a,116,a(flip),b,20841,a(flip)),flip(a)]. given #18955 (H,wt=29): 20843 ((x / y) * (K(z,u) * y)) * K(u,T(z,y)) = K(u,z) * (y * ((K(u,z) * y) \ x)). [hyper(8559,a,20842,a)]. given #18956 (H,wt=27): 20844 ((x / y) * (y * K(z,u))) * K(u,z) = K(u,z) * (y * ((K(u,z) * y) \ x)). [hyper(236,a,10380,a(flip),b,20843,a(flip)),flip(a)]. given #18957 (H,wt=24): 20845 K(x,y) * (z * ((K(x,y) * z) \ u)) = z * L(z \ u,z,K(x,y)). [hyper(236,a,20354,a(flip),b,20844,a(flip))]. given #18958 (H,wt=30): 20846 x \ L(x * y,x \ 1,K(z,u)) = K(z,u) * ((x \ 1) * ((K(z,u) * (x \ 1)) \ y)). [hyper(236,a,962,a(flip),b,20845,a),flip(a)]. given #18959 (H,wt=28): 20847 x \ L(x * y,x \ 1,K(z,u)) = K(z,u) * ((1 / x) * ((K(z,u) / x) \ y)). [para(16900(a,1),20846(a,2,2))]. given #18960 (H,wt=40): 20824 x * a(y,z * ((z \ u) * w),K((z * ((z \ u) * w)) \ u,u \ x)) = u * L(u \ x,x,K(w,L(y,z \ u,z))). [para(11533(a,1),18374(a,2,2,3))]. given #18961 (H,wt=38): 20848 x * a(y,z * ((z \ u) * w),K((z * ((z \ u) * w)) \ u,u \ x)) = u * L(u \ x,x,K(w,L(y,u,z))). [para(14565(a,1),20824(a,2,2,3))]. given #18962 (H,wt=35): 20849 x * a(y,z * ((z \ u) * w),K(w \ 1,L(u \ x,u,z))) = u * L(u \ x,x,K(w,L(y,u,z))). [para(14566(a,1),20848(a,1,2,3))]. given #18963 (H,wt=33): 20850 x * a(y,z * ((z \ u) * y),K(w,L(u \ x,u,z))) = u * L(u \ x,x,K(y,L(w,u,z))). [para(14010(a,1),20849(a,1,2))]. given #18964 (H,wt=41): 17882 (x * L(y,z,K(u,w))) \ ((a(w,z,K(y,u)) * x) * (y * v5)) = L(v5,L(y,x,a(w,z,K(y,u))),a(w,z,K(y,u)) * x). [para(17796(a,1),13685(a,1,1))]. given #18965 (H,wt=41): 18201 T(K(x,y) * z,K(x,y)) * T(T(K(x,y) * z,K(x,y)) \ T(u,K(x,y)),z) = ((K(x,y) * z) \ u) * (z * K(x,y)). [hyper(236,a,2053,a,b,18051,a(flip)),flip(a)]. given #18966 (H,wt=37): 20852 (x * K(y,z)) * T(T(K(y,z) * x,K(y,z)) \ T(u,K(y,z)),x) = ((K(y,z) * x) \ u) * (x * K(y,z)). [para(7222(a,1),18201(a,1,1))]. given #18967 (H,wt=33): 20853 (x * K(y,z)) * T((x * K(y,z)) \ T(u,K(y,z)),x) = ((K(y,z) * x) \ u) * (x * K(y,z)). [para(7222(a,1),20852(a,1,2,1,1))]. given #18968 (H,wt=33): 20854 T((x * K(y,z)) * T((x * K(y,z)) \ u,x),K(y,z)) = ((K(y,z) * x) \ u) * (x * K(y,z)). [hyper(236,a,17200,a,b,20853,a(flip)),flip(a)]. given #18969 (H,wt=33): 20855 T(x * (K(y,z) * T(K(y,z) \ (x \ u),x)),K(y,z)) = ((K(y,z) * x) \ u) * (x * K(y,z)). [para(857(a,1),20854(a,1,1))]. given #18970 (H,wt=33): 20856 T(x * (K(y,z) * T(K(z,y) * (x \ u),x)),K(y,z)) = ((K(y,z) * x) \ u) * (x * K(y,z)). [para(5260(a,1),20855(a,1,1,2,2,1))]. given #18971 (H,wt=31): 20857 T(T(T(x \ y,K(z,u)) * x,K(z,u)),K(z,u)) = ((K(z,u) * x) \ y) * (x * K(z,u)). [para(20377(a,1),20856(a,1,1))]. given #18972 (H,wt=23): 20858 ((K(x,y) * z) \ u) * (z * K(x,y)) = T(z \ u,K(x,y)) * z. [hyper(7992,a,20857,a)]. given #18973 (H,wt=23): 20859 ((x \ (K(y,z) * u)) * x) * K(z,y) = T(x \ u,K(z,y)) * x. [hyper(15622,a,20858,a)]. given #18974 (H,wt=41): 18235 K(x,y * (((K(z,u) * w) * ((K(w,K(z,u)) * v5) / (K(z,u) * w))) \ v6)) = K(x,y * ((w \ T(v5 * w,K(z,u))) \ v6)). [para(16519(a,1),18228(a,2,2,2,1))]. given #18975 (H,wt=41): 19691 K(x,T(((1 / y) * ((1 / y) \ z)) \ u,((1 / y) \ z) \ u)) = K(x,T(u,(1 / y) \ z) / (((y \ 1) \ z) * (y \ 1))). [para(2970(a,1),19690(a,2,2,2))]. given #18976 (H,wt=33): 20862 K(x,T(y \ z,((1 / u) \ y) \ z)) = K(x,T(z,(1 / u) \ y) / (((u \ 1) \ y) * (u \ 1))). [para(14(a,1),19691(a,1,2,1,1))]. given #18977 (H,wt=33): 20864 K(x,T(y \ z,((u \ 1) \ y) \ z)) = K(x,T(z,(1 / u) \ y) / (((u \ 1) \ y) * (u \ 1))). [para(4612(a,1),20862(a,1,2))]. given #18978 (H,wt=33): 20865 K(x,T(y \ z,y \ (z * (u \ 1)))) = K(x,T(z,(1 / u) \ y) / (((u \ 1) \ y) * (u \ 1))). [hyper(18033,a,20864,a)]. given #18979 (H,wt=29): 20866 K(x,T(y,(1 / z) \ u) / (((z \ 1) \ u) * (z \ 1))) = K(x,T(u \ y,z \ 1)). [hyper(10789,a,20865,a),flip(a)]. given #18980 (H,wt=27): 20867 K(x,T(y,(1 / z) \ u) / (((z \ 1) \ u) * (z \ 1))) = K(x,T(u \ y,z)). [hyper(236,a,9343,a(flip),b,20866,a)]. given #18981 (H,wt=25): 20868 K(x,T(y,z * u) / (((z \ 1) \ u) * (z \ 1))) = K(x,T(u \ y,z)). [para(14237(a,1),20867(a,1,2,1))]. given #18982 (H,wt=21): 20869 K(x,T(y,z * u) / T(u,z \ 1)) = K(x,T(u \ y,z)). [hyper(236,a,19627,a(flip),b,20868,a(flip)),flip(a)]. given #18983 (H,wt=41): 19838 K(x,y * ((z * T(u / T(z,K(w,v5)),K(w,v5))) / (z * K(w,v5)))) = K(x,y * T(u / (z * K(w,v5)),z * K(w,v5))). [para(19832(a,1),15750(a,1,2,2,1))]. given #18984 (H,wt=41): 20474 K(x,K(y,z * T(u,w))) \ K(x,(T(z,u) \ T(u,w)) * y) = T(K(x,y * (T(u,w) / z)),K(x,K(y,z * T(u,w)))). [hyper(394,a,20472,a,b,16511,a),flip(a)]. given #18985 (H,wt=31): 20870 K(x,K(y,z * T(u,w))) \ K(x,(T(z,u) \ T(u,w)) * y) = K(x,y * (T(u,w) / z)). [hyper(236,a,16155,a(flip),b,20474,a)]. given #18986 (H,wt=29): 20872 K(x,K(y,z * u)) \ K(x,(T(z,u) \ T(u,w)) * y) = K(x,y * (T(u,w) / z)). [para(17025(a,1),20870(a,1,1))]. given #18987 (H,wt=27): 20874 K(x,K(y,z * u)) \ K(x,(T(u,w) / z) * y) = K(x,y * (T(u,w) / z)). [para(20472(a,1),20872(a,1,2))]. given #18988 (H,wt=27): 20875 K(x,K(y,z * u)) * K(x,(T(u,w) / z) * y) = K(x,y * (T(u,w) / z)). [hyper(7969,a,20874,a)]. given #18989 (H,wt=41): 20851 (x * L(y,z,K(u,w))) \ (x * (a(w,z,K(y,u)) * (y * v5))) = L(v5,L(y,x,a(w,z,K(y,u))),a(w,z,K(y,u)) * x). [para(18774(a,1),17882(a,1,2))]. given #18990 (H,wt=39): 20876 L(x,L(y,z,a(u,w,K(y,v5))),a(u,w,K(y,v5)) * z) = (z * L(y,w,K(v5,u))) \ (z * (L(y,w,K(v5,u)) * x)). [para(14700(a,1),20851(a,1,2,2)),flip(a)]. given #18991 (H,wt=29): 20877 L(x,L(y,z,a(u,w,K(y,v5))),a(u,w,K(y,v5)) * z) = L(x,L(y,w,K(v5,u)),z). [hyper(236,a,28,a,b,20876,a)]. given #18992 (H,wt=21): 20878 L(x,y,a(z,u,K(y,w)) * v5) = L(x,L(y,u,K(w,z)),v5). [para(13683(a,1),20877(a,1,2))]. given #18993 (H,wt=41): 20861 K(x,y * (((K(z,u) * w) * ((K(z,K(u,w)) * v5) / (K(z,u) * w))) \ v6)) = K(x,y * ((w \ T(v5 * w,K(z,u))) \ v6)). [para(7923(a,2),18235(a,1,2,2,1,2,1,1))]. given #18994 (H,wt=41): 20879 K(x,y * (((K(z,u) * w) * (K(z,K(u,w)) * (v5 / (K(z,u) * w)))) \ v6)) = K(x,y * ((w \ T(v5 * w,K(z,u))) \ v6)). [para(17669(a,1),20861(a,1,2,2,1,2))]. given #18995 (H,wt=37): 20880 K(x,y * (((K(z,u) * w) * (v5 / (K(z,T(u,w)) * w))) \ v6)) = K(x,y * ((w \ T(v5 * w,K(z,u))) \ v6)). [para(18681(a,1),20879(a,1,2,2,1,2))]. given #18996 (H,wt=35): 20881 K(x,y * (((K(z,u) * w) * (v5 / (w * K(z,u)))) \ v6)) = K(x,y * ((w \ T(v5 * w,K(z,u))) \ v6)). [para(8047(a,1),20880(a,1,2,2,1,2,2))]. given #18997 (H,wt=31): 20882 K(x,y * ((z \ T(u * z,K(w,v5))) \ v6)) = K(x,y * ((z * T(u / z,K(w,v5))) \ v6)). [para(18695(a,1),20881(a,1,2,2,1)),flip(a)]. given #18998 (H,wt=27): 20883 K(x,y * ((z \ T(u * z,K(w,v5))) \ v6)) = K(x,y * ((z * (u / z)) \ v6)). [hyper(236,a,18697,a(flip),b,20882,a)]. given #18999 (H,wt=25): 20885 K(x,y * ((z \ T(u * z,K(w,v5))) \ v6)) = K(x,y * (T(u,z) \ v6)). [hyper(236,a,18228,a(flip),b,20883,a)]. given #19000 (H,wt=42): 18422 K(x,L(a(y,z,K(u,w)) / (v5 / (v6 * u)),a(y,z,K(u,w)),a(y,z,K(u,w)) \ v5)) = K(x,(v6 * L(u,z,K(w,y))) / v5). [para(17796(a,1),18415(a,2,2,1))]. given #19001 (H,wt=27): 20886 K(x,a(y,z,K(u,w)) / (v5 / (v6 * u))) = K(x,(v6 * L(u,z,K(w,y))) / v5). [hyper(20107,a,18422,a)]. given #19002 (H,wt=27): 20887 K(x,(y / (z * u)) \ a(w,v5,K(u,v6))) = K(x,(z * L(u,v5,K(v6,w))) / y). [hyper(17716,a,20886,a)]. given #19003 (H,wt=22): 20889 K(x,(y * L(z,u,K(w,v5))) / v6) = K(x,(v6 / (y * z)) \ 1). [hyper(18096,a,20887,a),flip(a)]. given #19004 (H,wt=20): 20890 K(x,(y * L(z,u,K(w,v5))) / v6) = K(x,(y * z) / v6). [hyper(236,a,5795,a(flip),b,20889,a)]. given #19005 (H,wt=29): 20891 K(x,y / (z / L(u,w,K(v5,v6)))) = a(x,y,K(u,y \ z)) * K(x,(y * u) / z). [para(20890(a,1),20623(a,1,2)),flip(a)]. given #19006 (H,wt=20): 20892 K(x,y / (z / L(u,w,K(v5,v6)))) = K(x,y / (z / u)). [hyper(236,a,20618,a(flip),b,20891,a)]. given #19007 (H,wt=42): 18745 L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = w \ ((w * u) * L(z \ T(z * (u \ 1),K(x,y)),u,w)). [para(18744(a,2),13203(a,2,2,2))]. given #19008 (H,wt=39): 20894 L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = w \ (w * (u * (z \ T(z * (u \ 1),K(x,y))))). [para(103(a,1),18745(a,2,2))]. given #19009 (H,wt=37): 20895 L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = w \ (w * K((u * (z \ 1)) \ 1,K(x,y))). [para(6047(a,1),20894(a,2,2,2))]. given #19010 (H,wt=35): 20896 L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = w \ (w * K(x,K(y,u * (z \ 1)))). [para(9254(a,1),20895(a,2,2,2))]. given #19011 (H,wt=33): 20897 L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = w \ (w * K(x,K(y,z \ u))). [para(16079(a,1),20896(a,2,2,2))]. given #19012 (H,wt=29): 20898 L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = K(x,K(y,z \ u)). [hyper(236,a,13,a(flip),b,20897,a)]. given #19013 (H,wt=20): 20899 K(x,K(y,z * L(u \ 1,u,w))) = K(x,K(y,z \ u)). [hyper(17776,a,20898,a)]. given #19014 (H,wt=19): 20901 K(x,K(y,z * (u \ (u / w)))) = K(x,K(y,z \ w)). [para(350(a,1),20899(a,1,2,2,2))]. given #19015 (H,wt=19): 20902 K(x,K(y,(z \ (z / u)) * w)) = K(x,K(y,w \ u)). [hyper(16073,a,20901,a)]. given #19016 (H,wt=19): 20903 K(x,K(y,z \ (u \ w))) = K(x,K(y,(w \ u) * z)). [para(62(a,1),20902(a,1,2,2,1,2)),flip(a)]. given #19017 (H,wt=19): 20905 K(x,K(y \ z,(z \ y) * u)) = K(x,K(u,y \ z)). [hyper(9243,a,20903,a),flip(a)]. given #19018 (H,wt=21): 20904 K(x,K(y,(z \ T(u,w)) * v5)) = K(x,K(y,u \ (v5 \ z))). [hyper(18277,a,20903,a),flip(a)]. given #19019 (H,wt=19): 20907 K(x,K(y,z \ (u \ w))) = K(x,K(y,u * (w \ z))). [hyper(17152,a,20904,a),flip(a)]. given #19020 (H,wt=21): 20908 x * K(y,K(x,z * (u \ w))) = T(x,K(y,w \ (z \ u))). [para(20907(a,1),7924(a,1,2))]. given #19021 (H,wt=22): 20910 T(x,K(y,z \ (u \ w))) != v5 | T(x,K(y,u * (w \ z))) = v5. [para(20908(a,1),7926(a,1))]. given #19022 (H,wt=19): 20912 T(x,K(y,z \ (u * w))) = T(x,K(y,u * (z \ w))). [hyper(20910,a,18138,a),flip(a)]. given #19023 (H,wt=19): 20913 T(x,K(y,(z \ u) \ w)) = T(x,K(y,z * (u \ w))). [hyper(20910,a,9297,a),flip(a)]. given #19024 (H,wt=19): 20915 T(x,K(y,(z * u) * w)) = T(x,K(y,z * (w \ u))). [hyper(16586,a,20912,a)]. given #19025 (H,wt=22): 20914 T(x,K(y,z \ (u * w))) != v5 | T(x,K(y,u * (z \ w))) = v5. [para(18138(a,1),20910(a,1))]. given #19026 (H,wt=22): 20917 T(x,K(y,z * (u \ w))) != v5 | T(x,K(y,z * (w * u))) = v5. [para(20915(a,1),20059(a,1))]. given #19027 (H,wt=19): 20918 T(x,K(y,z * (u / w))) = T(x,K(y,z * (u * w))). [hyper(20917,a,17001,a(flip)),flip(a)]. given #19028 (H,wt=23): 20906 T(x,K((y \ z) * u,T(z \ y,w))) = K(x,K(u,z \ y)) * x. [para(20905(a,1),16043(a,2,1))]. given #19029 (H,wt=21): 20920 T(x,K((y \ z) * u,T(z \ y,w))) = T(x,K(u,z \ y)). [hyper(236,a,4897,a,b,20906,a)]. given #19030 (H,wt=23): 20911 T(x,K(y,z \ (u * (w * v5)))) = T(x,K(y,(u * w) * (z \ v5))). [hyper(20910,a,20261,a),flip(a)]. given #19031 (H,wt=23): 20922 T(x,K(y,z \ (u * (w * v5)))) = T(x,K(y,u * (w * (z \ v5)))). [hyper(236,a,20053,a(flip),b,20911,a)]. given #19032 (H,wt=23): 20923 T(x,K(y,z * (u \ (w * v5)))) = T(x,K(y,z * (w * (u \ v5)))). [hyper(20914,a,20922,a)]. given #19033 (H,wt=23): 20924 T(x,K(y,z * ((u * w) * v5))) = T(x,K(y,z * (u * (v5 \ w)))). [hyper(20917,a,20923,a)]. given #19034 (H,wt=26): 20925 T(x,K(y,z * (u * (w \ v5)))) != v6 | T(x,K(y,z * (u * (v5 * w)))) = v6. [para(20924(a,1),20172(a,1))]. given #19035 (H,wt=33): 20916 x \ T(y * T(x,K(z,u * (w \ v5))),K(z,(u \ w) \ v5)) = T(y,K((u \ w) \ v5,z) * x). [para(20913(a,1),15654(a,1,2,1,2))]. given #19036 (H,wt=33): 20919 x \ T(y * T(x,K(z,u * (w * v5))),K(z,u * (w / v5))) = T(y,K(u * (w / v5),z) * x). [para(20918(a,1),15654(a,1,2,1,2))]. given #19037 (H,wt=33): 20926 x \ T(y * T(x,K(z,u * (w \ v5))),K(z,u * (w \ v5))) = T(y,K((u \ w) \ v5,z) * x). [para(20913(a,1),20916(a,1,2))]. given #19038 (H,wt=23): 20928 T(x,K((y \ z) \ u,w) * v5) = T(x,K(y * (z \ u),w) * v5). [hyper(15801,a,20926,a),flip(a)]. given #19039 (H,wt=23): 20929 T(x,K(y \ (z * u),w) * v5) = T(x,K(z * (y \ u),w) * v5). [hyper(18806,a,20928,a)]. given #19040 (H,wt=24): 20930 T(x,K(y * (z \ u),u) * w) != v5 | T(x,K(z \ y,u) * w) = v5. [para(20929(a,1),13182(a,1))]. given #19041 (H,wt=33): 20927 x \ T(y * T(x,K(z,u * (w * v5))),K(z,u * (w * v5))) = T(y,K(u * (w / v5),z) * x). [para(20918(a,1),20919(a,1,2))]. given #19042 (H,wt=23): 20931 T(x,K(y * (z / u),w) * v5) = T(x,K(y * (z * u),w) * v5). [hyper(15801,a,20927,a),flip(a)]. given #19043 (H,wt=23): 20932 T(x,K(y * (z \ u),w) * v5) = T(x,K(y * (u * z),w) * v5). [hyper(236,a,17250,a(flip),b,20931,a(flip)),flip(a)]. given #19044 (H,wt=21): 20933 T(x,K(y * (z * u),z) * w) = T(x,K(u \ y,z) * w). [hyper(20930,a,20932,a),flip(a)]. given #19045 (H,wt=19): 20935 T(x,K(y \ z,u) * w) = T(x,K(z * y,u) * w). [hyper(236,a,13144,a(flip),b,20933,a(flip))]. given #19046 (H,wt=19): 20936 T(x,K(y \ z,u) * w) = T(x,K(y * z,u) * w). [hyper(236,a,16694,a,b,20935,a)]. given #19047 (H,wt=21): 20937 T(x,K(y * z,T(u,w)) * v5) = T(x,K(u,y \ z) * v5). [hyper(16695,a,20936,a),flip(a)]. given #19048 (H,wt=19): 20940 T(x,K(y,z \ u) * w) = T(x,K(y,z * u) * w). [hyper(16695,a,20937,a),flip(a)]. given #19049 (H,wt=21): 20938 T(x,K(y * z,u) * (u / w)) = T(x,T(u,y \ z) / w). [hyper(236,a,15673,a(flip),b,20936,a(flip))]. given #19050 (H,wt=19): 20942 T(x,T(y,z \ u) / w) = T(x,T(y,z * u) / w). [hyper(236,a,15673,a(flip),b,20938,a(flip))]. given #19051 (H,wt=19): 20943 T(x,T(y,z * u) / (u \ z)) = T(x,(u \ z) \ y). [hyper(14635,a,20942,a),flip(a)]. given #19052 (H,wt=22): 20939 T(x,K(y \ z,u) * w) != v5 | T(x,K(z * y,u) * w) = v5. [para(20936(a,2),16748(a,1))]. given #19053 (H,wt=24): 20945 T(x,K(y * (z * u),z) * w) != v5 | T(x,K(y * u,z) * w) = v5. [para(20933(a,2),20939(a,1))]. given #19054 (H,wt=29): 20944 T(x,T(y,z \ T(u,w)) / ((z \ u) \ K(u,w))) = T(x,((z \ u) \ K(u,w)) \ y). [para(16261(a,1),20943(a,1,2,1))]. given #19055 (H,wt=29): 20946 T(x,K(y,z) * (T(u,w \ T(z,y)) * (w \ z))) = T(x,((w \ z) \ K(z,y)) \ u). [hyper(18287,a,20944,a)]. given #19056 (H,wt=27): 20947 T(x,T(y,z \ T(u,w)) * (z \ T(u,w))) = T(x,((z \ u) \ K(u,w)) \ y). [hyper(236,a,18208,a(flip),b,20946,a(flip)),flip(a)]. given #19057 (H,wt=21): 20948 T(x,((y \ z) \ K(z,u)) \ w) = T(x,(y \ T(z,u)) * w). [hyper(13115,a,20947,a),flip(a)]. given #19058 (H,wt=21): 20949 T(x,K(y,z) * ((u \ z) * w)) = T(x,(u \ T(z,y)) * w). [hyper(18280,a,20948,a)]. given #19059 (H,wt=25): 20950 T(x,K(y,z) * ((u \ (z * y)) * w)) = T(x,(u \ T(z * y,y)) * w). [hyper(15802,a,20949,a)]. given #19060 (H,wt=21): 20952 T(x,(y \ T(z * u,u)) * w) = T(x,(y \ (u * z)) * w). [hyper(236,a,18284,a(flip),b,20950,a(flip))]. given #19061 (H,wt=25): 20951 T(x,K(y,z) * ((u \ (y * z)) * w)) = T(x,(u \ T(y * z,z)) * w). [hyper(15672,a,20949,a)]. given #19062 (H,wt=23): 20953 T(x,(y \ T(z * u,u)) * w) = T(x,(y \ (T(z,u) * u)) * w). [hyper(236,a,18285,a(flip),b,20951,a(flip))]. given #19063 (H,wt=30): 20941 T(x,K(y,z * u) * (w * (z \ T(u,y)))) != v5 | T(x,w * T(z \ T(u,y),y)) = v5. [para(20940(a,1),16430(a,1))]. given #19064 (H,wt=31): 20954 T(T(x,K(y,z * (u * w))),(z \ T(w * u,u)) * y) = T(x,y * (z \ (T(w,u) * u))). [hyper(18549,a,20953,a(flip)),flip(a)]. given #19065 (H,wt=29): 20955 T(T(x,K(y,z * (u * w))),(z \ (u * w)) * y) = T(x,y * (z \ (T(w,u) * u))). [hyper(236,a,20952,a(flip),b,20954,a(flip)),flip(a)]. given #19066 (H,wt=21): 20956 T(x,y * (z \ (T(u,w) * w))) = T(x,y * (z \ (w * u))). [hyper(16585,a,20955,a),flip(a)]. given #19067 (H,wt=29): 20957 T(x,y * ((a(z,u,w) * v5) \ (v5 * v6))) = T(x,y * T(a(z,u,w) \ T(v6,v5),v5)). [para(18769(a,1),20956(a,1,2,2)),flip(a)]. given #19068 (H,wt=29): 20958 T(x,y * T(a(z,u,w) \ T(v5 \ v6,v5),v5)) = T(x,y * ((a(z,u,w) * v5) \ v6)). [para(14(a,1),20957(a,1,2,2,2)),flip(a)]. given #19069 (H,wt=39): 20934 K(x,K(y * (z \ u),w) * (K(v5,K(v6,v7)) / (v8 \ 1))) = T(x,T(v9,v8)) \ T(T(x,K(y * (u * z),w) * v8),v9). [para(20932(a,1),17157(a,2,2,1))]. given #19070 (H,wt=31): 20959 K(x,K(y * (z \ u),w) * (K(v5,K(v6,v7)) / (v8 \ 1))) = K(x,K(y * (u * z),w) * v8). [hyper(236,a,16988,a(flip),b,20934,a)]. given #19071 (H,wt=23): 20960 K(x,K(y * (z \ u),w) * v5) = K(x,K(y * (u * z),w) * v5). [hyper(16764,a,20959,a)]. given #19072 (H,wt=42): 18842 L(a(L(x,y / x,z),u,u \ 1),L(x,y / x,z),z * (y / x)) = (z * ((y / x) * x)) \ (z * (a(x,u,u \ 1) * y)). [para(18831(a,1),2456(a,2,2,2))]. given #19073 (H,wt=42): 19998 L(L(L(x \ 1,y,K(z,u)),L(x,y,K(z,u)),y),y * L(x,y,K(z,u)),K(u,z)) = ((K(u,z) * y) * x) \ (K(u,z) * y). [para(19996(a,2),14794(a,1,1,1))]. given #19074 (H,wt=42): 20122 x \ T(y * T(x,K(z,a(u,w,v5) \ (v6 / v7))),K(v6 / (a(u,w,v5) * v7),z)) = T(y,K(z,a(u,w,v5) \ (v6 / v7)) * x). [para(20120(a,2),15657(a,1,2,2))]. given #19075 (H,wt=42): 20961 L(a(L(x,x \ y,z),u,u \ 1),L(x,y / x,z),z * (y / x)) = (z * ((y / x) * x)) \ (z * (a(x,u,u \ 1) * y)). [para(10736(a,1),18842(a,1,1,1))]. given #19076 (H,wt=42): 20962 x \ T(y * T(x,K(z,a(u,w,v5) \ (v6 \ v7))),K(v7 / (a(u,w,v5) * v6),z)) = T(y,K(z,a(u,w,v5) \ (v7 / v6)) * x). [para(17002(a,1),20122(a,1,2,1,2))]. given #19077 (H,wt=37): 20964 x \ T(y * T(x,K(z,u \ w)),K(w / (a(v5,v6,v7) * u),z)) = T(y,K(z,a(v5,v6,v7) \ (w / u)) * x). [para(20050(a,1),20962(a,1,2,1,2))]. given #19078 (H,wt=37): 20966 x \ T(y * T(x,K(z,u \ w)),K(a(v5,v6,v7) \ (w / u),z)) = T(y,K(z,a(v5,v6,v7) \ (w / u)) * x). [para(20120(a,1),20964(a,1,2,2))]. given #19079 (H,wt=37): 20967 x \ T(y * T(x,K(z,u \ w)),K(z,a(v5,v6,v7) \ (w / u))) = T(y,K(z,a(v5,v6,v7) \ (w / u)) * x). [para(7981(a,1),20966(a,1,2))]. given #19080 (H,wt=37): 20968 x \ T(y * T(x,K(z,u \ w)),K(z,a(v5,v6,v7) \ (u \ w))) = T(y,K(z,a(v5,v6,v7) \ (w / u)) * x). [para(17002(a,1),20967(a,1,2))]. given #19081 (H,wt=32): 20969 T(x,K(y,a(z,u,w) \ (v5 / v6)) * v7) = v7 \ T(x * T(v7,K(y,v6 \ v5)),K(y,v6 \ v5)). [para(20050(a,1),20968(a,1,2)),flip(a)]. given #19082 (H,wt=24): 20970 T(x,K(y,a(z,u,w) \ (v5 / v6)) * v7) = T(x,K(v6 \ v5,y) * v7). [hyper(236,a,15654,a(flip),b,20969,a)]. given #19083 (H,wt=27): 20972 T(x,K(y,a(z,u,w) \ (v5 / v6)) * v7) != v8 | T(x,K(v5 * v6,y) * v7) = v8. [para(20970(a,2),20939(a,1))]. given #19084 (H,wt=42): 20963 L(a(L(x,x \ y,z),u,u \ 1),L(x,x \ y,z),z * (y / x)) = (z * ((y / x) * x)) \ (z * (a(x,u,u \ 1) * y)). [para(10736(a,1),20961(a,1,2))]. given #19085 (H,wt=30): 20973 (x * ((y / z) * z)) \ (x * (a(z,u,u \ 1) * y)) = a(L(z,z \ y,x),u,u \ 1). [hyper(236,a,18853,a(flip),b,20963,a(flip))]. given #19086 (H,wt=26): 20975 a(L(x,x \ y,z),u,u \ 1) = (z * y) \ (z * (a(x,u,u \ 1) * y)). [para(16(a,1),20973(a,1,1,2)),flip(a)]. given #19087 (H,wt=23): 20976 L(T(a(x,y,y \ 1),z),z,u) = a(L(x,x \ z,u),y,y \ 1). [hyper(236,a,178,a(flip),b,20975,a),flip(a)]. given #19088 (H,wt=21): 20977 a(L(x,x \ y,z),u,u \ 1) = L(a(x,u,u \ 1),y,z). [para(13885(a,1),20976(a,1,1)),flip(a)]. given #19089 (H,wt=24): 20978 a((x * (y \ z)) \ (x * z),u,u \ 1) = L(a(y,u,u \ 1),z,x). [hyper(236,a,15572,a(flip),b,20977,a(flip)),flip(a)]. given #19090 (H,wt=43): 17804 K(x,(T(y,a(z \ 1,z,u) \ w) * a(z \ 1,z,u)) \ w) = K(x,T((a(z \ 1,z,u) * y) \ w,a(z \ 1,z,u) \ w)). [para(17685(a,1),16567(a,1,2,1,1))]. given #19091 (H,wt=43): 18213 K(x,K(K(y,K(z,u)) * w,K(z,u) * y) * (v5 * ((K(y,K(z,u)) * w) \ v6))) = K(x,v5 * ((y \ T(w * y,K(z,u))) \ v6)). [para(16519(a,1),18179(a,2,2,2,1))]. given #19092 (H,wt=37): 20982 K(x,K(y,K(z,u) * w) * (v5 * ((K(w,K(z,u)) * y) \ v6))) = K(x,v5 * ((w \ T(y * w,K(z,u))) \ v6)). [para(16650(a,1),18213(a,1,2,1))]. given #19093 (H,wt=37): 20984 K(x,K(y,K(z,u) * w) * (v5 * (K(w,K(z,u)) * (y \ v6)))) = K(x,v5 * ((w \ T(y * w,K(z,u))) \ v6)). [para(17945(a,1),20982(a,1,2,2,2))]. given #19094 (H,wt=31): 20985 K(x,K(y,K(z,u) * w) * (v5 * (y \ v6))) = K(x,v5 * ((w \ T(y * w,K(z,u))) \ v6)). [hyper(17894,a,20984,a)]. given #19095 (H,wt=29): 20986 K(x,y * ((z \ T(u * z,K(w,v5))) \ v6)) = K(x,y * (T(u,K(w,v5) * z) \ v6)). [hyper(236,a,18179,a(flip),b,20985,a(flip))]. given #19096 (H,wt=23): 20987 K(x,y * (T(z,K(u,w) * v5) \ v6)) = K(x,y * (T(z,v5) \ v6)). [hyper(236,a,20885,a(flip),b,20986,a(flip))]. given #19097 (H,wt=21): 20989 K(x,y * (T(z,K(u,w) * v5) \ 1)) = K(x,y / T(z,v5)). [hyper(236,a,14060,a(flip),b,20987,a)]. given #19098 (H,wt=19): 20990 K(x,y / T(z,K(u,w) * v5)) = K(x,y / T(z,v5)). [hyper(14282,a,20989,a)]. given #19099 (H,wt=23): 20991 K(x,y / T(z,u * (K(w,v5) * v6))) = K(x,y / T(z,u * v6)). [para(10563(a,1),20990(a,1,2,2,2)),flip(a)]. given #19100 (H,wt=23): 20993 K(x,y / T(z,u * (w / v5))) = K(x,y / T(z,u * (v5 \ w))). [para(4927(a,1),20991(a,1,2,2,2,2))]. given #19101 (H,wt=25): 20992 K(x,y / T(z,u * (T(w,v5) * v6))) = K(x,y / T(z,u * (w * v6))). [para(4860(a,1),20991(a,1,2,2,2,2)),flip(a)]. given #19102 (H,wt=43): 19043 (((x \ y) * x) * (((x \ y) \ ((x \ y) * x)) \ 1)) \ (x \ y) = (z * ((y / x) \ (y * (((x \ y) \ ((x \ y) * x)) \ 1)))) \ z. [para(11104(a,1),19041(a,1,1,2)),flip(a)]. given #19103 (H,wt=35): 20994 (((x \ y) * x) * (((x \ y) \ ((x \ y) * x)) \ 1)) \ (x \ y) = (z * ((y / x) \ (y * (x \ 1)))) \ z. [para(13(a,1),19043(a,2,1,2,2,2,1))]. given #19104 (H,wt=31): 20995 (((x \ y) * x) * (((x \ y) \ ((x \ y) * x)) \ 1)) \ (x \ y) = (y * (x \ 1)) \ (y / x). [hyper(236,a,293,a(flip),b,20994,a)]. given #19105 (H,wt=23): 20996 (((x \ y) * x) * (x \ 1)) \ (x \ y) = (y * (x \ 1)) \ (y / x). [para(13(a,1),20995(a,1,1,2,1))]. given #19106 (H,wt=21): 20997 T(x * (y \ 1),y) \ (y \ x) = (x * (y \ 1)) \ (x / y). [para(747(a,1),20996(a,1,1))]. given #19107 (H,wt=23): 20998 (x * (((y \ x) \ x) \ 1)) \ (y \ x) = (x * (y \ 1)) \ (x / y). [hyper(236,a,6958,a(flip),b,20997,a(flip)),flip(a)]. given #19108 (H,wt=23): 20999 (x * (((y \ x) \ x) \ 1)) \ (y \ x) = y \ ((x * (y \ 1)) \ x). [hyper(236,a,19052,a(flip),b,20998,a)]. given #19109 (H,wt=43): 19676 K(x,((T(y,z \ y) / z) * u) * (u \ ((T(y,z \ y) / z) \ y))) = K(x,(((T(y,z \ y) / z) \ y) / u) * (u * (y / z))). [para(3897(a,1),19675(a,1,2,2,2)),flip(a)]. given #19110 (H,wt=41): 21000 K(x,((T(y,z \ y) / z) * u) * (u \ ((T(y,z \ y) / z) \ y))) = K(x,((z * K(z \ y,y)) / u) * (u * (y / z))). [para(14433(a,1),19676(a,2,2,1,1))]. given #19111 (H,wt=41): 21001 K(x,((T(y,z \ y) / z) * u) * (u \ ((T(y,z \ y) / z) \ y))) = K(x,(K(z \ y,y) * (z / u)) * (u * (y / z))). [para(14893(a,1),21000(a,2,2,1))]. given #19112 (H,wt=41): 21002 K(x,((T(y,z \ y) / z) * u) * (u \ ((T(y,z \ y) / z) \ y))) = K(x,(z / u) * ((u * (y / z)) * K(z \ y,y))). [hyper(236,a,18384,a(flip),b,21001,a)]. given #19113 (H,wt=39): 21003 K(x,((T(y,z \ y) / z) * u) * (u \ ((T(y,z \ y) / z) \ y))) = K(x,(z / u) * (u * T(y / z,T(y,z)))). [para(7375(a,1),21002(a,2,2,2))]. given #19114 (H,wt=37): 21004 K(x,((T(y,z \ y) / z) * u) * (u \ ((T(y,z \ y) / z) \ y))) = K(x,(z / u) * (u * T(y / z,y))). [para(7174(a,1),21003(a,2,2,2,2))]. given #19115 (H,wt=35): 21005 K(x,((T(y,z \ y) / z) * u) * (u \ ((T(y,z \ y) / z) \ y))) = K(x,(z / u) * (u * (z \ y))). [hyper(236,a,13154,a(flip),b,21004,a)]. given #19116 (H,wt=33): 21006 K(x,((T(y,z \ y) / z) * u) * (u \ (z * K(z \ y,y)))) = K(x,(z / u) * (u * (z \ y))). [para(14433(a,1),21005(a,1,2,2,2))]. given #19117 (H,wt=33): 21007 K(x,((T(y,z \ y) / z) * u) * ((u \ z) * K(z \ y,y))) = K(x,(z / u) * (u * (z \ y))). [hyper(236,a,18814,a(flip),b,21006,a(flip)),flip(a)]. given #19118 (H,wt=43): 20175 K(x * (y \ L(y,y \ 1,z * y)),L(u,x \ 1,a(z,y,y \ 1))) = K((a(z,y,y \ 1) * (x \ 1)) \ K(y \ 1,y),u). [para(20174(a,1),14107(a,1,1,2))]. given #19119 (H,wt=33): 21008 K((a(x,y,y \ 1) * (z \ 1)) \ K(y \ 1,y),u) = K(z * (y \ L(y,y \ 1,x * y)),u). [hyper(236,a,15625,a(flip),b,20175,a(flip))]. given #19120 (H,wt=25): 21010 K(x * (y \ L(y,y \ 1,z * y)),u) = K(a(z,y,y \ 1) \ x,u). [hyper(236,a,14937,a(flip),b,21008,a(flip))]. given #19121 (H,wt=14): 21012 K(a(x,y,y \ 1) \ z,y) = K(z,y). [hyper(236,a,11458,a(flip),b,21010,a(flip))]. given #19122 (H,wt=14): 21013 K(a(x,y,y \ 1) * z,y) = K(z,y). [hyper(8409,a,21012,a),flip(a)]. given #19123 (H,wt=18): 21014 K(x,a(y,x,x \ 1) * z) = u / (K(z,x) * u). [para(21013(a,1),5266(a,1,2,1)),flip(a)]. given #19124 (H,wt=14): 21015 K(x,a(y,x,x \ 1) * z) = K(x,z). [hyper(236,a,17975,a(flip),b,21014,a)]. given #19125 (H,wt=14): 21016 K(x,y * a(z,x,x \ 1)) = K(x,y). [hyper(17723,a,21015,a)]. given #19126 (H,wt=33): 21017 L(x,a(y,x,x \ 1),z) * (z * a(y,x,x \ 1)) = K(x,z) * (z * (a(y,x,x \ 1) * x)). [para(21016(a,1),14206(a,1,1)),flip(a)]. given #19127 (H,wt=33): 21018 L(x,a(y,x,x \ 1),z) * (z * a(y,x,x \ 1)) = K(x,z) * (z * (x * a(y,x,x \ 1))). [para(13894(a,1),21017(a,2,2,2))]. given #19128 (H,wt=33): 21019 L(x,a(y,x,x \ 1),z) * (z * a(y,x,x \ 1)) = z * (K(x,z) * (x * a(y,x,x \ 1))). [hyper(236,a,5363,a(flip),b,21018,a)]. given #19129 (H,wt=31): 21020 L(x,a(y,x,x \ 1),z) * (z * a(y,x,x \ 1)) = z * T(x * a(y,x,x \ 1),z). [para(20791(a,1),21019(a,2,2))]. given #19130 (H,wt=29): 21021 L(x,a(y,x,x \ 1),z) * (z * a(y,x,x \ 1)) = (x * a(y,x,x \ 1)) * z. [hyper(236,a,119,a(flip),b,21020,a)]. given #19131 (H,wt=21): 21022 (x * a(y,x,x \ 1)) * z = x * (z * a(y,x,x \ 1)). [para(20797(a,1),21021(a,1,1)),flip(a)]. given #19132 (H,wt=39): 21023 (x * a(y,x,x \ 1)) \ (z * K(x \ (a(y,x,x \ 1) \ z),a(y,x,x \ 1))) = a(y,x,x \ 1) \ (x \ z). [hyper(72,a,8380,a,b,21022,a)]. given #19133 (H,wt=23): 21024 (x * a(y,x,x \ 1)) \ (z * 1) = a(y,x,x \ 1) \ (x \ z). [para(13892(a,1),21023(a,1,2,2))]. given #19134 (H,wt=21): 21025 (x * a(y,x,x \ 1)) \ z = a(y,x,x \ 1) \ (x \ z). [para(12(a,1),21024(a,1,2))]. given #19135 (H,wt=31): 21027 x * (a(y,T(z,x),T(z,x) \ 1) \ T(z,x)) = z * (a(y,z,z \ 1) \ (z \ (z * x))). [para(21025(a,1),19070(a,2,2))]. given #19136 (H,wt=27): 21028 x * (a(y,T(z,x),T(z,x) \ 1) \ T(z,x)) = z * (a(y,z,z \ 1) \ x). [para(13(a,1),21027(a,2,2,2))]. given #19137 (H,wt=23): 21029 x * (a(y,z,z \ 1) \ T(z,x)) = z * (a(y,z,z \ 1) \ x). [para(10221(a,1),21028(a,1,2,1))]. given #19138 (H,wt=23): 21031 x * T(a(y,z,z \ 1) \ z,x) = z * (a(y,z,z \ 1) \ x). [para(19730(a,1),21029(a,1,2))]. given #19139 (H,wt=21): 21032 (a(x,y,y \ 1) \ y) * z = y * (a(x,y,y \ 1) \ z). [hyper(220,a,21031,a)]. given #19140 (H,wt=41): 21033 (a(x,R(y,z,y),R(y,z,y) \ 1) \ R(y,z,y)) \ (y * (a(y,z,y) * (a(x,R(y,z,y),R(y,z,y) \ 1) \ u))) = u. [hyper(72,a,12320,a,b,21032,a)]. given #19141 (H,wt=38): 21034 (a(x,R(y,z,y),y \ 1) \ R(y,z,y)) \ (y * (a(y,z,y) * (a(x,R(y,z,y),R(y,z,y) \ 1) \ u))) = u. [para(13643(a,1),21033(a,1,1,1))]. given #19142 (H,wt=35): 21035 (a(x,y,y \ 1) \ R(y,z,y)) \ (y * (a(y,z,y) * (a(x,R(y,z,y),R(y,z,y) \ 1) \ u))) = u. [para(13647(a,1),21034(a,1,1,1))]. given #19143 (H,wt=32): 21038 (a(x,y,y \ 1) \ R(y,z,y)) \ (y * (a(y,z,y) * (a(x,R(y,z,y),y \ 1) \ u))) = u. [para(13643(a,1),21035(a,1,2,2,2,1))]. given #19144 (H,wt=29): 21039 (a(x,y,y \ 1) \ R(y,z,y)) \ (y * (a(y,z,y) * (a(x,y,y \ 1) \ u))) = u. [para(13647(a,1),21038(a,1,2,2,2,1))]. given #19145 (H,wt=27): 21041 (a(x,y,y \ 1) \ R(y,z,y)) \ (R(y,z,y) * (a(x,y,y \ 1) \ u)) = u. [para(12320(a,1),21039(a,1,2))]. given #19146 (H,wt=16): 21043 L(x,a(y,z,z \ 1) \ 1,R(z,u,z)) = x. [hyper(236,a,18905,a(flip),b,21041,a(flip)),flip(a)]. given #19147 (H,wt=13): 21044 L(x,a(y,z,z \ 1) \ 1,z) = x. [hyper(236,a,13490,a(flip),b,21043,a(flip)),flip(a)]. given #19148 (H,wt=15): 21045 L(x,L(y,y \ 1,z) * (1 / y),y) = x. [para(19022(a,1),21044(a,1,2))]. given #19149 (H,wt=15): 21046 L(x,L(y,y \ 1,z) * (y \ 1),y) = x. [hyper(236,a,7003,a(flip),b,21045,a(flip)),flip(a)]. given #19150 (H,wt=13): 21047 L(x,y \ L(y,y \ 1,z),y) = x. [para(1207(a,1),21046(a,1,2))]. given #19151 (H,wt=36): 21048 a(x,y,x) \ ((L(z,z \ 1,u) \ (z * w)) * a(x,y,x)) = T((z \ L(z,z \ 1,u)) \ w,a(x,y,x)). [hyper(394,a,13324,a(flip),b,21047,a(flip)),flip(a)]. given #19152 (H,wt=36): 21049 a(x,y,x) \ ((L(z,z \ 1,u) \ (z * w)) * a(x,y,x)) = T(w * (L(z,z \ 1,u) \ z),a(x,y,x)). [para(20166(a,1),21048(a,2,1))]. given #19153 (H,wt=31): 21050 a(x,y,x) \ ((L(z,z \ 1,u) \ (z * w)) * a(x,y,x)) = w * (L(z,z \ 1,u) \ z). [hyper(236,a,12291,a(flip),b,21049,a)]. given #19154 (H,wt=31): 21052 a(x,y,x) \ ((z * (L(z,z \ 1,u) \ w)) * a(x,y,x)) = w * (L(z,z \ 1,u) \ z). [para(1210(a,1),21050(a,1,2,1))]. given #19155 (H,wt=21): 21053 x * (L(y,y \ 1,z) \ y) = y * (L(y,y \ 1,z) \ x). [hyper(236,a,12288,a(flip),b,21052,a(flip))]. given #19156 (H,wt=20): 21055 x * (L(y,y \ 1,x) \ y) = y * T(x * (1 / y),y). [para(6534(a,1),21053(a,2,2))]. given #19157 (H,wt=18): 21056 x * (L(y,y \ 1,x) \ y) = (x * (1 / y)) * y. [hyper(236,a,119,a(flip),b,21055,a)]. given #19158 (H,wt=17): 21057 x * (L(y,y \ 1,x) \ y) = R(x,y \ 1,y). [hyper(236,a,2804,a(flip),b,21056,a)]. given #19159 (H,wt=15): 21058 L(x,x \ 1,y) \ x = a(y,x \ 1,x). [hyper(17,a,3627,a,b,21057,a)]. given #19160 (H,wt=19): 21059 x \ (y \ L(y,y \ 1,x)) = R(x,y \ 1,y) \ 1. [para(21057(a,1),20168(a,1,1)),flip(a)]. given #19161 (H,wt=23): 21060 K(x,y * (L(z,z \ 1,u) \ z)) = K(x,a(u,z \ 1,z) * y). [para(21058(a,2),17712(a,2,2,2)),flip(a)]. given #19162 (H,wt=23): 21062 K(x,y * a(z \ u,z,z \ 1)) = K(x,a(u,z \ 1,z) * y). [hyper(236,a,20484,a,b,21060,a(flip)),flip(a)]. given #19163 (H,wt=43): 20432 K(x / (y \ T(T(z,u),w)),L(v5,v6,v7)) / K(x * ((y \ T(z,w)) \ K(z,u)),L(T(v5,x / (y \ T(T(z,u),w))),v6,v7)) = 1. [hyper(244,a,20431,a,b,5005,a(flip))]. given #19164 (H,wt=43): 20921 x \ T(y * T(x,K(z,u \ w)),K(T(w \ u,v5) * z,T(u \ w,v6))) = T(y,K(T(u \ w,v6),T(w \ u,v5) * z) * x). [para(20920(a,1),17009(a,1,2,1,2))]. given #19165 (H,wt=41): 21064 T(x,K(T(y \ z,u),T(z \ y,w) * v5) * v6) = v6 \ T(x * T(v6,K(v5,y \ z)),K((z \ y) * v5,T(y \ z,u))). [para(19330(a,1),20921(a,1,2,2)),flip(a)]. given #19166 (H,wt=35): 21066 T(x,K(T(y \ z,u),T(z \ y,w) * v5) * v6) = v6 \ T(x * T(v6,K(v5,y \ z)),K(v5,y \ z)). [para(20920(a,1),21064(a,2,2))]. given #19167 (H,wt=27): 21067 T(x,K(T(y \ z,u),T(z \ y,w) * v5) * v6) = T(x,K(y \ z,v5) * v6). [hyper(236,a,15654,a(flip),b,21066,a)]. given #19168 (H,wt=25): 21069 T(x,K(T(y \ z,u) * w,z \ y) * v5) = T(x,K(z \ y,w) * v5). [hyper(16749,a,21067,a)]. given #19169 (H,wt=23): 21070 T(x,K((y \ z) * u,z \ y) * w) = T(x,K(z \ y,u) * w). [para(118(a,1),21069(a,1,2,1,1,1))]. given #19170 (H,wt=23): 21071 T(x,K(y * (z \ u),u \ z) * w) = T(x,K(u \ z,y) * w). [para(13417(a,1),21069(a,1,2,1))]. given #19171 (H,wt=23): 21072 T(x,K(y \ z,(z \ y) * u) * w) = T(x,K(y \ z,u) * w). [hyper(15799,a,21070,a)]. given #19172 (H,wt=23): 21073 T(x,K(y * (z * u),z \ u) * w) = T(x,K(z \ u,y) * w). [hyper(236,a,20932,a(flip),b,21071,a(flip)),flip(a)]. given #19173 (H,wt=23): 21074 T(x,K(y * z,(y \ z) * u) * w) = T(x,K(z \ y,u) * w). [hyper(20939,a,21072,a)]. given #19174 (H,wt=23): 21075 T(x,K(y * (z * u),z \ u) * w) = T(x,K(u * z,y) * w). [hyper(236,a,20935,a(flip),b,21073,a)]. given #19175 (H,wt=23): 21076 T(x,K(y * z,(y \ z) * u) * w) = T(x,K(y * z,u) * w). [hyper(236,a,20935,a(flip),b,21074,a)]. given #19176 (H,wt=43): 20981 K(x,T(y,a(z \ 1,z,u) \ w) \ (a(z \ 1,z,u) \ w)) = K(x,T((a(z \ 1,z,u) * y) \ w,a(z \ 1,z,u) \ w)). [hyper(236,a,18972,a(flip),b,17804,a(flip)),flip(a)]. given #19177 (H,wt=34): 21077 K(x,T((a(y \ 1,y,z) * u) \ w,a(y \ 1,y,z) \ w)) = K(x,(a(y \ 1,y,z) \ w) / u). [hyper(13147,a,20981,a),flip(a)]. given #19178 (H,wt=32): 21079 K(x,T(y,a(z \ 1,z,u)) / (w * a(z \ 1,z,u))) = K(x,(a(z \ 1,z,u) \ y) / w). [hyper(236,a,19923,a(flip),b,21077,a(flip)),flip(a)]. given #19179 (H,wt=25): 21080 K(x,(a(y \ 1,y,z) \ u) / w) = K(x,u / (w * a(y \ 1,y,z))). [para(14215(a,1),21079(a,1,2,1)),flip(a)]. given #19180 (H,wt=25): 21081 K(x,(a(y \ 1,y,z) \ u) / w) = K(x,a(y \ 1,y,z) \ (u / w)). [hyper(236,a,20130,a(flip),b,21080,a)]. given #19181 (H,wt=25): 21082 K(x,(a(y \ 1,y,z) \ u) / w) = K(x,a(z,y,y \ 1) * (u / w)). [hyper(236,a,18864,a(flip),b,21081,a)]. given #19182 (H,wt=37): 21078 K(x,T((a(y \ 1,y,z) * u) \ w,a(y \ 1,y,z) \ w)) != v5 | K(x,(a(y \ 1,y,z) \ w) / u) = v5. [para(20981(a,1),13147(a,1))]. given #19183 (H,wt=43): 21063 K(x / (y \ T(T(z,u),w)),L(v5,v6,v7)) / K(x * ((y \ T(z,w)) \ K(z,u)),L(T(v5,(y \ T(T(z,u),w)) \ x),v6,v7)) = 1. [para(16547(a,1),20432(a,1,2))]. given #19184 (H,wt=43): 21083 K(x / (y \ T(T(z,u),w)),L(v5,v6,v7)) / K(x * ((y \ T(z,w)) \ K(z,u)),L(T(v5,x * (T(T(z,u),w) \ y)),v6,v7)) = 1. [para(20388(a,1),21063(a,1,2))]. given #19185 (H,wt=41): 21084 K(x / (y \ T(T(z,u),w)),L(v5,v6,v7)) / K(x * ((y \ T(z,w)) \ K(z,u)),L(T(v5,x * (T(z,u) \ y)),v6,v7)) = 1. [para(17194(a,1),21083(a,1,2))]. given #19186 (H,wt=39): 21085 K(x / (y \ T(T(z,u),w)),L(v5,v6,v7)) / K(x * ((y \ T(z,w)) \ K(z,u)),L(T(v5,x * (z \ y)),v6,v7)) = 1. [para(17194(a,1),21084(a,1,2))]. given #19187 (H,wt=37): 21088 K(x / (y \ T(T(z,u),w)),L(v5,v6,v7)) / K(x / (y \ T(T(z,u),w)),L(T(v5,x * (z \ y)),v6,v7)) = 1. [para(20431(a,1),21085(a,1,2))]. given #19188 (H,wt=37): 21089 K(x / (y \ T(T(z,u),w)),L(v5,v6,v7)) * K(L(T(v5,x * (z \ y)),v6,v7),x / (y \ T(T(z,u),w))) = 1. [hyper(7561,a,21088,a)]. given #19189 (H,wt=37): 21090 K(x / (y \ T(T(z,u),w)),L(v5,v6,v7)) * K(T(v5,x * (z \ y)),L(x / (y \ T(T(z,u),w)),v6,v7)) = 1. [para(11533(a,1),21089(a,1,2))]. given #19190 (H,wt=37): 21091 K(x / (y \ T(T(z,u),w)),L(v5,v6,v7)) * K(v5,T(L(x / (y \ T(T(z,u),w)),v6,v7),x * (z \ y))) = 1. [hyper(8525,a,21090,a)]. given #19191 (H,wt=37): 21092 K(x / (y \ T(T(z,u),w)),L(v5,v6,v7)) * K(v5,L(T(x / (y \ T(T(z,u),w)),x * (z \ y)),v6,v7)) = 1. [para(40(a,2),21091(a,1,2,2))]. given #19192 (H,wt=19): 21093 K(x / (y \ T(T(z,u),w)),K(v5,x * (z \ y))) = 1. [hyper(236,a,18024,a(flip),b,21092,a(flip)),flip(a)]. given #19193 (H,wt=19): 21094 K(x,K(y / (z \ T(T(u,w),v5)),y * (u \ z))) = 1. [hyper(9224,a,21093,a)]. given #19194 (H,wt=19): 21095 K(x,K((y \ T(T(z,u),w)) \ v5,(z \ y) * v5)) = 1. [para(13031(a,1),21094(a,1,2))]. given #19195 (H,wt=19): 21096 K(x,K((y \ z) * u,(z \ T(T(y,w),v5)) \ u)) = 1. [hyper(7971,a,21095,a)]. given #19196 (H,wt=19): 21097 K(x,K((y \ z) * u,T(T(y,w),v5) \ (z * u))) = 1. [hyper(17878,a,21096,a)]. given #19197 (H,wt=15): 21098 K(x,K((y \ z) * u,y \ (z * u))) = 1. [para(5845(a,1),21097(a,1,2,2,1))]. given #19198 (H,wt=44): 18395 L(x \ R(x,K(y,z),((z \ 1) \ u) * (z \ 1)),x,((z \ K(z,y)) \ u) * (z \ 1)) = a(x,K(y,z),((z \ 1) \ u) * (z \ 1)). [para(18370(a,1),15482(a,2,3)),flip(a)]. given #19199 (H,wt=40): 21099 L(x \ R(x,K(y,z),T(u,z \ 1)),x,((z \ K(z,y)) \ u) * (z \ 1)) = a(x,K(y,z),((z \ 1) \ u) * (z \ 1)). [para(13726(a,1),18395(a,1,1,2))]. given #19200 (H,wt=40): 21100 L(x \ L(x,K(y,z),T(u,z \ 1)),x,((z \ K(z,y)) \ u) * (z \ 1)) = a(x,K(y,z),((z \ 1) \ u) * (z \ 1)). [para(18654(a,1),21099(a,1,1,2))]. given #19201 (H,wt=36): 21101 L(x \ L(x,K(y,z),u),x,((z \ K(z,y)) \ u) * (z \ 1)) = a(x,K(y,z),((z \ 1) \ u) * (z \ 1)). [para(19176(a,1),21100(a,1,1,2))]. given #19202 (H,wt=44): 18405 a(x,y,K(z,u)) * T(a(x,w,a(v5,y,K(z,u))),T(a(x,y,K(z,u)),v6)) = T(a(z,y,K(u,L(x,v5,w))),K(a(x,y,K(z,u)),v6)). [para(17962(a,1),6466(a,1,1)),flip(a)]. given #19203 (H,wt=42): 21103 T(a(x,y,K(z,L(u,w,v5))),K(a(u,y,K(x,z)),v6)) = a(u,y,K(x,z)) * T(a(u,v5,a(w,y,K(x,z))),a(u,y,K(x,z))). [para(17659(a,1),18405(a,1,2,2)),flip(a)]. given #19204 (H,wt=35): 21104 T(a(x,y,K(z,L(u,w,v5))),K(a(u,y,K(x,z)),v6)) = a(u,y,K(x,z)) * a(u,v5,a(w,y,K(x,z))). [para(17661(a,1),21103(a,2,2))]. given #19205 (H,wt=28): 21106 T(a(x,y,K(z,L(u,w,v5))),K(a(u,y,K(x,z)),v6)) = a(u,y,K(x,L(z,v5,w))). [hyper(236,a,14969,a(flip),b,21104,a)]. given #19206 (H,wt=19): 21108 a(x,y,K(z,L(u,w,v5))) = a(u,y,K(x,L(z,v5,w))). [hyper(17743,a,21106,a),flip(a)]. given #19207 (H,wt=24): 21111 (x * y) * a(z,u,K(w,L(v5,y,x))) = (x * a(w,u,K(v5,z))) * y. [para(21108(a,1),18437(a,1,2))]. given #19208 (H,wt=21): 21112 (x * a(y,z,K(u,w))) * v5 = x * (v5 * a(w,z,K(y,u))). [hyper(12127,a,21111,a),flip(a)]. given #19209 (H,wt=21): 21113 (x * a(y,z,K(u,w))) * v5 = x * (v5 * a(y,z,K(u,w))). [para(13990(a,1),21112(a,1,1,2))]. given #19210 (H,wt=29): 21115 (K(x,y) * z) / (L(y * x,u,K(w,v5)) \ z) = x * (y * a(v5,u,K(y * x,w))). [hyper(236,a,18080,a,b,21113,a(flip)),flip(a)]. given #19211 (H,wt=25): 21116 (K(x,y) * z) / (L(y * x,u,K(w,v5)) \ z) = L(x * y,u,K(w,v5)). [hyper(236,a,20699,a(flip),b,21115,a)]. given #19212 (H,wt=17): 21117 L(x * y,z,K(u,x)) = x * L(y,z,K(u,x)). [hyper(236,a,15050,a(flip),b,21116,a(flip))]. given #19213 (H,wt=31): 21114 (x * (a(y,z,K(u,w)) * v5)) \ (x * (v5 * a(y,z,K(u,w)))) = a(x,a(u,z,K(w,y)),v5). [para(21112(a,1),18472(a,1,2))]. given #19214 (H,wt=18): 21118 a(x,a(y,z,K(u,w)),v5) = K(v5,a(w,z,K(y,u))). [hyper(10694,a,21114,a),flip(a)]. given #19215 (H,wt=11): 21119 a(x,a(y,z,K(u,w)),v5) = 1. [hyper(236,a,17648,a(flip),b,21118,a)]. given #19216 (H,wt=11): 21121 L(x,a(y,z,K(u,w)),v5) = x. [hyper(33,a,21119,a)]. given #19217 (H,wt=13): 21122 a(x,K(y,a(z,u,w) \ 1),v5) = 1. [para(15112(a,1),21119(a,1,2))]. given #19218 (H,wt=13): 21124 L(x,K(y,a(z,u,w) \ 1),v5) = x. [para(15112(a,1),21121(a,1,2))]. given #19219 (H,wt=21): 21123 (x * a(y,z,K(u,w))) \ v5 = a(y,z,K(u,w)) \ (x \ v5). [hyper(236,a,227,a(flip),b,21121,a(flip)),flip(a)]. given #19220 (H,wt=21): 21125 x / (a(y,z,K(u,w)) * v5) = a(u,z,K(w,y)) \ (x / v5). [para(21121(a,1),17833(a,1,2,2)),flip(a)]. given #19221 (H,wt=21): 21126 (x * a(y,z,K(u,w))) \ v5 = a(u,z,K(y,w)) * (x \ v5). [hyper(236,a,14026,a(flip),b,21123,a)]. given #19222 (H,wt=21): 21127 x / (a(y,z,K(u,w)) * v5) = a(w,z,K(u,y)) * (x / v5). [hyper(236,a,14026,a(flip),b,21125,a)]. given #19223 (H,wt=19): 21131 a(x,y,K(z,u)) * (w / z) = w / L(z,y,K(x,u)). [para(14674(a,1),21127(a,1,2)),flip(a)]. given #19224 (H,wt=20): 21133 K(x,y * (z / L(u,w,K(v5,v6)))) = K(x,y * (z / u)). [para(21131(a,1),18122(a,1,2,2))]. given #19225 (H,wt=21): 21129 (a(x,y,K(z,u)) * w) \ v5 = a(z,y,K(x,u)) * (w \ v5). [para(17667(a,2),21126(a,1,1))]. given #19226 (H,wt=21): 21130 (a(x,y,K(z,u)) * w) \ v5 = a(u,y,K(z,x)) * (w \ v5). [para(17791(a,2),21126(a,1,1))]. given #19227 (H,wt=21): 21132 x / (y * a(z,u,K(w,v5))) = a(v5,u,K(w,z)) * (x / y). [para(17667(a,1),21127(a,1,2))]. given #19228 (H,wt=23): 21134 K(x,y * ((K(z,u) * w) / v5)) = K(x,y * (K(z,u) * (w / v5))). [para(494(a,1),21133(a,1,2,2)),flip(a)]. given #19229 (H,wt=23): 21137 K(x,y * ((z * K(u,w)) / v5)) = K(x,y * (K(u,w) * (z / v5))). [hyper(236,a,16723,a(flip),b,21134,a(flip)),flip(a)]. given #19230 (H,wt=25): 21138 K(x,y * (K(z,T(u,w)) * (v5 / w))) = K(x,y * (v5 / (K(u,z) * w))). [hyper(236,a,18086,a(flip),b,21137,a(flip))]. given #19231 (H,wt=23): 21140 K(x,y * (z / (K(u,w) * v5))) = K(x,y * (K(w,u) * (z / v5))). [hyper(16753,a,21138,a),flip(a)]. given #19232 (H,wt=23): 21141 K(x,y * (z / (u * K(w,v5)))) = K(x,y * (K(v5,w) * (z / u))). [hyper(16752,a,21140,a)]. given #19233 (H,wt=27): 21135 K(x,y * (z / ((K(u,w) * v5) \ v6))) = K(x,y * (z / (v5 \ (K(w,u) * v6)))). [para(5276(a,1),21133(a,1,2,2,2))]. given #19234 (H,wt=27): 21139 K(x,y * ((T(z / u,w) \ z) / v5)) = K(x,y * (K(w,u \ z) * (u / v5))). [para(7516(a,2),21137(a,1,2,2,1))]. given #19235 (H,wt=28): 21136 x \ (y * (a(z,u,K(w,v5)) * (y \ x))) = K(a(z,u,w),L(T(v5,x),y,y \ x)). [para(21129(a,1),20022(a,1,2,2))]. given #19236 (H,wt=23): 21145 K(a(x,y,z),L(T(u,w),v5,v5 \ w)) = a(z,y,K(u,L(x,w,v5))). [hyper(236,a,18424,a(flip),b,21136,a(flip))]. given #19237 (H,wt=23): 21146 a(x,y,K(z,L(T(u,w),v5,v5 \ w))) = a(z,y,K(u,L(x,w,v5))). [hyper(13907,a,21145,a)]. given #19238 (H,wt=27): 21147 K(x,L(y,z,L(T(u,w),v5,v5 \ w))) = a(x,z,K(u,L(y,w,v5))) * K(x,y). [para(21146(a,1),14021(a,1,1)),flip(a)]. given #19239 (H,wt=23): 21148 K(x,L(y,z,L(T(u,w),v5,v5 \ w))) = K(x,L(y,z,L(u,w,v5))). [hyper(236,a,14344,a(flip),b,21147,a)]. given #19240 (H,wt=21): 21149 K(x,L(y,z,L(u,w,w \ v5))) = K(x,L(y,z,L(u,v5,w))). [hyper(17845,a,21148,a)]. given #19241 (H,wt=26): 21151 K(x,L(y,z,L((u / (w / v5)) \ 1,w,u))) = K(x,L(y,z,(u * v5) \ w)). [hyper(236,a,20765,a(flip),b,21149,a(flip))]. given #19242 (H,wt=24): 21152 K(x,L(y,z,L(u \ (w / v5),w,u))) = K(x,L(y,z,(u * v5) \ w)). [hyper(18453,a,21151,a)]. given #19243 (H,wt=29): 21144 K(x,K(y,K(z,u)) * (w / (u \ (K(z,y) * v5)))) = K(x,w / ((u * K(y,z)) \ v5)). [hyper(236,a,20367,a(flip),b,21135,a(flip))]. given #19244 (H,wt=23): 21153 K(x,y / ((z * K(u,w)) \ v5)) = K(x,y / (z \ (K(w,u) * v5))). [hyper(16624,a,21144,a),flip(a)]. given #19245 (H,wt=33): 21128 K(x,y / (K(z,u) * (w * a(v5,v6,K(v7,v8))))) = K(x,y * (a(v7,v6,K(v5,v8)) * (w \ K(u,z)))). [para(21126(a,1),14541(a,2,2,2))]. given #19246 (H,wt=29): 21155 K(x,y * (a(z,u,K(w,v5)) * (v6 \ K(v5,w)))) = K(x,y / (K(w,L(v5,u,z)) * v6)). [para(17802(a,1),21128(a,1,2,2)),flip(a)]. given #19247 (H,wt=29): 21156 K(x,y * (a(z,u,K(w,v5)) * (v6 \ K(v5,w)))) = K(x,y * (v6 \ K(L(v5,u,z),w))). [hyper(236,a,14541,a(flip),b,21155,a)]. given #19248 (H,wt=29): 21157 K(x,y * (a(z,u,K(w,v5)) * (v6 \ K(v5,w)))) = K(x,y * (v6 \ K(v5,L(w,u,z)))). [para(11533(a,1),21156(a,2,2,2,2))]. given #19249 (H,wt=22): 21158 K(x,y * (z \ K(u,L(w,v5,v6)))) = K(x,y * (z \ K(u,w))). [hyper(236,a,18122,a(flip),b,21157,a(flip))]. given #19250 (H,wt=23): 21160 K(x,y / (z \ (u * K(w,v5)))) = K(x,y * ((z \ u) \ K(v5,w))). [hyper(236,a,20593,a(flip),b,21158,a(flip)),flip(a)]. given #19251 (H,wt=23): 21163 K(x,y / (z \ (K(u,w) * v5))) = K(x,y * ((z \ v5) \ K(w,u))). [hyper(236,a,19829,a,b,21160,a(flip)),flip(a)]. given #19252 (H,wt=23): 21164 K(x,y / ((z * K(u,w)) \ v5)) = K(x,y * ((z \ v5) \ K(u,w))). [hyper(236,a,21153,a,b,21163,a(flip)),flip(a)]. given #19253 (H,wt=23): 21165 K(x,y / ((K(z,u) \ w) \ v5)) = K(x,y * ((w \ v5) \ K(u,z))). [hyper(236,a,18090,a,b,21163,a(flip)),flip(a)]. given #19254 (H,wt=25): 21161 K(x,((y / (z \ 1)) * (z \ K(u,w))) / v5) = K(x,y * (v5 \ K(u,w))). [hyper(236,a,18404,a(flip),b,21158,a(flip)),flip(a)]. given #19255 (H,wt=25): 21166 K(x,y * (((z \ 1) \ u) \ K(w,v5))) = K(x,y / ((z \ K(w,v5)) \ u)). [para(14046(a,1),21164(a,1,2,2,1)),flip(a)]. given #19256 (H,wt=25): 21167 K(x,y * (((z / u) \ w) \ K(z,v5))) = K(x,y / ((T(z,v5) / u) \ w)). [para(14475(a,1),21165(a,1,2,2,1)),flip(a)]. given #19257 (H,wt=21): 21172 K(x,y / ((T(z,u) / u) \ w)) = K(x,y / ((u \ z) \ w)). [hyper(19549,a,21167,a),flip(a)]. given #19258 (H,wt=21): 21173 K(x,y / ((z / T(u,z)) \ w)) = K(x,y / ((u \ z) \ w)). [para(4115(a,1),21172(a,1,2,2,1))]. given #19259 (H,wt=25): 21169 K(x,y * ((z * (u \ K(w,v5))) \ K(w,v5))) = K(x,y / (z * (u \ 1))). [hyper(236,a,20598,a(flip),b,21161,a(flip))]. given #19260 (H,wt=25): 21170 K(x,K(y,z) * (u / ((w \ 1) \ v5))) = K(x,u / ((w \ K(y,z)) \ v5)). [hyper(19242,a,21166,a)]. given #19261 (H,wt=25): 21176 K(x,y / ((z \ K(z * u,w)) \ u)) = K(x,y / T((z \ 1) \ u,w)). [hyper(16432,a,21170,a),flip(a)]. given #19262 (H,wt=28): 21171 K(x,y / ((z \ K(z * u,w)) \ u)) != v5 | K(x,y / T((1 / z) \ u,w)) = v5. [para(21166(a,1),19722(a,1))]. given #19263 (H,wt=23): 21177 K(x,y / T((1 / z) \ u,w)) = K(x,y / T((z \ 1) \ u,w)). [hyper(21171,a,21176,a)]. given #19264 (H,wt=29): 21175 K(x,y * T(a(z,u,w) \ v5,v5 \ K(v6,v7))) = K(x,y / (a(z,u,w) * (v5 \ 1))). [para(18782(a,2),21169(a,1,2,2))]. given #19265 (H,wt=41): 21143 K(x,y * (K(z,u) * ((w * T(v5 / T(w,K(u,z)),K(u,z))) / w))) = K(x,y * T(v5 / (w * K(u,z)),w * K(u,z))). [hyper(236,a,19838,a(flip),b,21141,a(flip))]. given #19266 (H,wt=41): 21178 K(x,y * (K(z,u) * T((w * (v5 / T(w,K(u,z)))) / w,K(u,z)))) = K(x,y * T(v5 / (w * K(u,z)),w * K(u,z))). [para(412(a,1),21143(a,1,2,2,2))]. given #19267 (H,wt=41): 21179 K(x,y * (K(z,u) * T((w * (v5 / w)) / T(w,K(u,z)),K(u,z)))) = K(x,y * T(v5 / (w * K(u,z)),w * K(u,z))). [para(8812(a,1),21178(a,1,2,2,2,1))]. given #19268 (H,wt=37): 21180 K(x,y * (((z * (u / z)) / T(z,K(w,v5))) * K(v5,w))) = K(x,y * T(u / (z * K(w,v5)),z * K(w,v5))). [para(7990(a,1),21179(a,1,2,2))]. given #19269 (H,wt=33): 21181 K(x,y * T(z / (u * K(w,v5)),u * K(w,v5))) = K(x,y * (((u * (z / u)) / u) * K(v5,w))). [hyper(19689,a,21180,a),flip(a)]. given #19270 (H,wt=31): 21182 K(x,y * T(z / (u * K(w,v5)),u * K(w,v5))) = K(x,y * (T(z / u,u) * K(v5,w))). [hyper(236,a,18541,a(flip),b,21181,a)]. given #19271 (H,wt=29): 21183 K(x,y * T(z / (u * K(w,v5)),u * K(w,v5))) = K(x,y * ((u \ z) * K(v5,w))). [para(121(a,1),21182(a,2,2,2,1))]. given #19272 (H,wt=23): 21184 K(x,y * ((z * K(u,w)) \ v5)) = K(x,y * ((z \ v5) * K(w,u))). [para(121(a,1),21183(a,1,2,2))]. given #19273 (H,wt=27): 21185 K(x,y * ((z * ((u * w) / u)) \ v5)) = K(x,y * (((z * w) \ v5) * K(w,u))). [para(7545(a,1),21184(a,1,2,2,1))]. given #19274 (H,wt=29): 21186 K(x,y * (((z * u) \ w) * K(v5,v5 \ u))) = K(x,y * ((z * ((v5 \ u) * v5)) \ w)). [para(10659(a,1),21184(a,1,2,2,1)),flip(a)]. given #19275 (H,wt=27): 21188 K(x,y * ((z * ((u \ w) * u)) \ v5)) = K(x,y * (((z * w) \ v5) * K(w,u))). [hyper(236,a,18189,a(flip),b,21186,a(flip))]. given #19276 (H,wt=31): 21187 K(x,y * ((z \ u) * K(w,v5))) * K(x,K(y,z \ u)) = K(x,((z * K(v5,w)) \ u) * y). [para(21184(a,1),19886(a,1,1))]. given #19277 (H,wt=23): 21189 K(x,((y * K(z,u)) \ w) * v5) = K(x,(y \ w) * (K(u,z) * v5)). [hyper(18461,a,21187,a),flip(a)]. given #19278 (H,wt=25): 21190 K(x,((y * z) \ u) * (K(w,z) * v5)) = K(x,((y * T(z,w)) \ u) * v5). [para(6201(a,1),21189(a,1,2,1,1)),flip(a)]. given #19279 (H,wt=29): 21191 K(x,((y * z) \ u) * (K(w,w \ z) * v5)) = K(x,((y * ((w \ z) * w)) \ u) * v5). [para(10659(a,1),21189(a,1,2,1,1)),flip(a)]. given #19280 (H,wt=44): 19191 ((x \ (x / y)) * x) * ((z \ L(K(x,y \ 1) * z,K(y \ 1,x),y \ x)) * z) = (x / y) * (z * K(K(y \ 1,x) \ 1,z)). [para(19189(a,1),12220(a,1,2,1,2))]. given #19281 (H,wt=35): 21192 ((x \ (x / y)) * x) * ((z \ (K(x,y \ 1) * z)) * z) = (x / y) * (z * K(K(y \ 1,x) \ 1,z)). [para(11056(a,1),19191(a,1,2,1,2))]. given #19282 (H,wt=33): 21193 ((x \ (x / y)) * x) * (T(K(x,y \ 1),z) * z) = (x / y) * (z * K(K(y \ 1,x) \ 1,z)). [para(32(a,2),21192(a,1,2,1))]. given #19283 (H,wt=31): 21195 (x / y) * (z * K(K(y \ 1,x) \ 1,z)) = ((x \ (x / y)) * x) * (z * K(x,y \ 1)). [para(8094(a,1),21193(a,1,2)),flip(a)]. given #19284 (H,wt=29): 21196 (x / y) * (z * K(K(x,y \ 1),z)) = ((x \ (x / y)) * x) * (z * K(x,y \ 1)). [para(5093(a,1),21195(a,1,2,2,1))]. given #19285 (H,wt=27): 21197 (x / y) * (z * K(x,K(y,z))) = ((x \ (x / y)) * x) * (z * K(x,y \ 1)). [para(9245(a,1),21196(a,1,2,2))]. given #19286 (H,wt=25): 21198 ((x \ (x / y)) * x) * (z * K(x,y \ 1)) = (x / y) * T(z,K(x,y)). [para(7933(a,1),21197(a,1,2)),flip(a)]. given #19287 (H,wt=28): 21199 ((x \ (x / y)) * x) * (z * K(x,y \ 1)) != u | T((x / y) * z,K(x,y)) = u. [para(21198(a,2),10541(a,1))]. given #19288 (H,wt=44): 20762 K(x,L(T((y \ (z \ y)) * y,u * (T(1 / z,y) \ 1)),T(1 / z,y) \ 1,u)) = K(x,(u * y) / (u * T((1 / z) \ 1,y))). [hyper(236,a,11820,a,b,20761,a(flip)),flip(a)]. given #19289 (H,wt=40): 21200 K(x,L(T((y \ (z \ y)) * y,u * (T(1 / z,y) \ 1)),T(1 / z,y) \ 1,u)) = K(x,(u * y) / (u * T(z,y))). [para(65(a,1),20762(a,2,2,2,2,1))]. given #19290 (H,wt=38): 21201 K(x,L(T((y \ (z \ y)) * y,u / T(1 / z,y)),T(1 / z,y) \ 1,u)) = K(x,(u * y) / (u * T(z,y))). [para(14246(a,1),21200(a,1,2,1))]. given #19291 (H,wt=36): 21202 K(x,L(T((y \ (z \ y)) * y,u * T(z,y)),T(1 / z,y) \ 1,u)) = K(x,(u * y) / (u * T(z,y))). [para(19321(a,1),21201(a,1,2,1))]. given #19292 (H,wt=36): 21203 K(x,L(T((y \ (z \ y)) * y,u * T(z,y)),T(z \ 1,y) \ 1,u)) = K(x,(u * y) / (u * T(z,y))). [para(7005(a,1),21202(a,1,2))]. given #19293 (H,wt=34): 21204 K(x,L(T((y \ (z \ y)) * y,u * T(z,y)),(z \ 1) \ 1,u)) = K(x,(u * y) / (u * T(z,y))). [hyper(20303,a,21203,a)]. given #19294 (H,wt=30): 21205 K(x,L(T((y \ (z \ y)) * y,u * T(z,y)),z,u)) = K(x,(u * y) / (u * T(z,y))). [para(6999(a,1),21204(a,1,2))]. given #19295 (H,wt=28): 21206 K(x,L(T((y \ (z \ y)) * y,u * z),z,u)) = K(x,(u * y) / (u * T(z,y))). [hyper(236,a,17117,a(flip),b,21205,a(flip)),flip(a)]. given #19296 (H,wt=44): 20980 a((x * ((x \ (y \ z)) * x)) \ (((y \ z) / ((y \ z) / x)) * z),u,u \ 1) = L(a(y,u,u \ 1),z,(y \ z) / ((y \ z) / x)). [para(4295(a,1),20978(a,1,1,1))]. given #19297 (H,wt=45): 18332 (L(x \ 1,y,z) \ 1) \ T(L(x \ 1,y,z) \ 1,T(u \ w,v5)) = T(K(x,L(T((u \ 1) * w,v5),y,z)),L(x \ 1,y,z) \ 1). [hyper(394,a,18331,a(flip),b,11685,a),flip(a)]. given #19298 (H,wt=45): 18669 (K(x,L(y,(K(z,u) * w) * v5,K(z,u) * v5)) * ((K(z,u) * w) * v5)) / (K(z,u) * v5) = K(x,y) * L(T(w,K(z,u)),K(z,u),v5). [para(18655(a,1),15478(a,2,2))]. given #19299 (H,wt=41): 21209 (K(x,L(y,(K(z,u) * w) * v5,v5)) * ((K(z,u) * w) * v5)) / (K(z,u) * v5) = K(x,y) * L(T(w,K(z,u)),K(z,u),v5). [para(19927(a,1),18669(a,1,1,1))]. given #19300 (H,wt=39): 21210 (K(x,L(y,K(z,u) * w,v5)) * ((K(z,u) * w) * v5)) / (K(z,u) * v5) = K(x,y) * L(T(w,K(z,u)),K(z,u),v5). [para(15471(a,1),21209(a,1,1,1))]. given #19301 (H,wt=32): 21212 ((K(x,y) * (K(z,u) * w)) * v5) / (K(z,u) * v5) = K(x,y) * L(T(w,K(z,u)),K(z,u),v5). [para(15367(a,1),21210(a,1,1))]. given #19302 (H,wt=29): 21213 L(T(K(x,y) * z,K(u,w)),K(u,w),v5) = K(x,y) * L(T(z,K(u,w)),K(u,w),v5). [hyper(236,a,18670,a(flip),b,21212,a(flip)),flip(a)]. given #19303 (H,wt=29): 21214 L(T(K(x,y) * z,K(u,w)),K(u,w),v5) = T(K(x,y) * L(z,K(u,w),v5),K(u,w)). [hyper(17154,a,21213,a(flip)),flip(a)]. given #19304 (H,wt=29): 21215 T(L(T(K(x,y) * z,K(u,w)),K(u,w),v5),K(u,w)) = K(x,y) * L(z,K(u,w),v5). [para(21214(a,2),7983(a,1,1))]. given #19305 (H,wt=29): 21216 L(T(T(K(x,y) * z,K(u,w)),K(u,w)),K(u,w),v5) = K(x,y) * L(z,K(u,w),v5). [hyper(236,a,123,a,b,21215,a(flip)),flip(a)]. given #19306 (H,wt=21): 21217 L(K(x,y) * z,K(u,w),v5) = K(x,y) * L(z,K(u,w),v5). [para(7983(a,1),21216(a,1,1))]. given #19307 (H,wt=28): 21218 L(K(x,y) * (K(y,x) * z),K(x,y),u) = K(x,y) * (u \ ((u * K(y,x)) * z)). [hyper(236,a,20036,a(flip),b,21217,a)]. given #19308 (H,wt=20): 21222 K(x,y) * (z \ ((z * K(y,x)) * u)) = L(u,K(x,y),z). [para(5268(a,1),21218(a,1,1)),flip(a)]. given #19309 (H,wt=45): 19320 (L(x \ 1,y,z) \ 1) \ T(L(x \ 1,y,z) \ 1,u / T(w,v5)) = T(K(x,L(u * T(w \ 1,v5),y,z)),L(x \ 1,y,z) \ 1). [hyper(394,a,19319,a(flip),b,11685,a),flip(a)]. given #19310 (H,wt=45): 20157 a(x / T((x \ y) \ 1,y),(x \ y) \ 1,((x \ y) \ 1) \ 1) = (L((x \ y) \ 1,((x \ y) \ 1) \ 1,x) \ 1) * ((x \ y) \ 1). [para(7113(a,2),20153(a,2,1)),flip(a)]. given #19311 (H,wt=41): 21224 a(x / T((x \ y) \ 1,y),(x \ y) \ 1,((x \ y) \ 1) \ 1) = (L((x \ y) \ 1,x \ y,x) \ 1) * ((x \ y) \ 1). [para(6999(a,1),20157(a,2,1,1))]. given #19312 (H,wt=34): 21225 a(x / T((x \ y) \ 1,y),(x \ y) \ 1,((x \ y) \ 1) \ 1) = ((y \ x) \ 1) * ((x \ y) \ 1). [para(347(a,1),21224(a,2,1,1))]. given #19313 (H,wt=32): 21226 a(x / T((x \ y) \ 1,y),(x \ y) \ 1,((x \ y) \ 1) \ 1) = (y \ x) \ (1 / (x \ y)). [hyper(236,a,15027,a(flip),b,21225,a)]. given #19314 (H,wt=45): 21208 (L(x \ 1,y,z) \ 1) \ T(L(x \ 1,y,z) \ 1,T(u \ w,v5)) = T(K(x,L(T((u \ 1) * w,v5),y,z)),L((x \ 1) \ 1,y,z)). [hyper(236,a,11700,a,b,18332,a)]. given #19315 (H,wt=43): 21227 (L(x \ 1,y,z) \ 1) \ T(L(x \ 1,y,z) \ 1,T(u \ w,v5)) = T(K(x,L(T((u \ 1) * w,v5),y,z)),L(T(x,1),y,z)). [hyper(236,a,9908,a(flip),b,21208,a)]. given #19316 (H,wt=41): 21228 (L(x \ 1,y,z) \ 1) \ T(L(x \ 1,y,z) \ 1,T(u \ w,v5)) = T(K(x,L(T((u \ 1) * w,v5),y,z)),L(x,y,z)). [para(145(a,1),21227(a,2,2,1))]. given #19317 (H,wt=36): 21229 (L(x \ 1,y,z) \ 1) \ T(L(x \ 1,y,z) \ 1,T(u \ w,v5)) = K(x,L(T((u \ 1) * w,v5),y,z)). [hyper(236,a,3273,a(flip),b,21228,a)]. given #19318 (H,wt=27): 21230 K(L(x \ 1,y,z) \ 1,T(u \ w,v5)) = K(x,L(T((u \ 1) * w,v5),y,z)). [hyper(4956,a,21229,a)]. given #19319 (H,wt=27): 21232 K((x \ 1) \ 1,L(T(y \ z,u),w,v5)) = K(x,L(T((y \ 1) * z,u),w,v5)). [hyper(11590,a,21230,a)]. given #19320 (H,wt=23): 21233 K(x,L(T((y \ 1) * z,u),w,v5)) = K(x,L(T(y \ z,u),w,v5)). [hyper(5144,a,21232,a),flip(a)]. given #19321 (H,wt=23): 21234 K(x,L(T((1 / y) \ z,u),w,v5)) = K(x,L(T(y * z,u),w,v5)). [para(65(a,1),21233(a,1,2,1,1,1)),flip(a)]. given #19322 (H,wt=26): 21235 K(x,L(T(y * z,y * u),y \ 1,u)) = K(x,(u * z) / (u * (1 / y))). [hyper(236,a,16435,a(flip),b,21234,a(flip))]. given #19323 (H,wt=26): 21236 K(x,L(T(y * z,y * u),y \ 1,u)) = K(x,(u * z) / (u * (y \ 1))). [hyper(236,a,5753,a(flip),b,21235,a)]. given #19324 (H,wt=45): 21223 (L(x \ 1,y,z) \ 1) \ T(L(x \ 1,y,z) \ 1,u / T(w,v5)) = T(K(x,L(u * T(w \ 1,v5),y,z)),L((x \ 1) \ 1,y,z)). [hyper(236,a,11700,a,b,19320,a)]. given #19325 (H,wt=43): 21238 (L(x \ 1,y,z) \ 1) \ T(L(x \ 1,y,z) \ 1,u / T(w,v5)) = T(K(x,L(u * T(w \ 1,v5),y,z)),L(T(x,1),y,z)). [hyper(236,a,9908,a(flip),b,21223,a)]. given #19326 (H,wt=41): 21239 (L(x \ 1,y,z) \ 1) \ T(L(x \ 1,y,z) \ 1,u / T(w,v5)) = T(K(x,L(u * T(w \ 1,v5),y,z)),L(x,y,z)). [para(145(a,1),21238(a,2,2,1))]. given #19327 (H,wt=36): 21240 (L(x \ 1,y,z) \ 1) \ T(L(x \ 1,y,z) \ 1,u / T(w,v5)) = K(x,L(u * T(w \ 1,v5),y,z)). [hyper(236,a,3273,a(flip),b,21239,a)]. given #19328 (H,wt=27): 21241 K(L(x \ 1,y,z) \ 1,u / T(w,v5)) = K(x,L(u * T(w \ 1,v5),y,z)). [hyper(4956,a,21240,a)]. given #19329 (H,wt=27): 21243 K((x \ 1) \ 1,L(y / T(z,u),w,v5)) = K(x,L(y * T(z \ 1,u),w,v5)). [hyper(11590,a,21241,a)]. given #19330 (H,wt=23): 21244 K(x,L(y * T(z \ 1,u),w,v5)) = K(x,L(y / T(z,u),w,v5)). [hyper(5144,a,21243,a),flip(a)]. given #19331 (H,wt=27): 21245 K(x,L(y / (z \ T(u,u \ z)),w,v5)) = K(x,L(y / T(z \ u,u),w,v5)). [hyper(14664,a,21244,a)]. given #19332 (H,wt=25): 21246 K(x,L(y / (z \ T(u,u \ z)),w,v5)) = K(x,L(y / (u / z),w,v5)). [hyper(236,a,15964,a(flip),b,21245,a)]. given #19333 (H,wt=25): 21247 K(x,L(y / (((z \ u) * z) \ z),w,v5)) = K(x,L(y / (z / u),w,v5)). [para(5958(a,2),21246(a,1,2,1,2))]. given #19334 (H,wt=29): 21248 K(x,L(y / (((y \ T(z,u)) * y) \ y),w,v5)) = K(x,L(T(y / (y / z),u),w,v5)). [para(7790(a,1),21247(a,2,2,1))]. given #19335 (H,wt=29): 21249 K(x,L(y / (T((y \ z) * y,u) \ y),w,v5)) = K(x,L(T(y / (y / z),u),w,v5)). [para(4639(a,2),21248(a,1,2,1,2,1))]. given #19336 (H,wt=25): 21250 K(x,L(T(y / (y / z),u),w,v5)) = K(x,L(T((y \ z) * y,u),w,v5)). [para(62(a,1),21249(a,1,2,1)),flip(a)]. given #19337 (H,wt=23): 21251 K(x,L(T((y \ z) * y,u),w,v5)) = K(x,L(T(T(z,u),y),w,v5)). [hyper(236,a,9928,a(flip),b,21250,a(flip))]. given #19338 (H,wt=26): 21253 K(x,L(T(T(y \ z,u * y),z),y,u)) = K(x,(u * z) / (u * T(y,z))). [hyper(236,a,21206,a(flip),b,21251,a(flip))]. given #19339 (H,wt=24): 21254 K(x,L(T(y / z,u * z),z,u)) = K(x,(u * y) / (u * T(z,y))). [hyper(236,a,9927,a(flip),b,21253,a(flip)),flip(a)]. given #19340 (H,wt=21): 21255 K(x,(y * z) / (y * T(u,z))) = K(x,(u * y) \ (z * y)). [hyper(236,a,20520,a(flip),b,21254,a(flip))]. given #19341 (H,wt=32): 21256 K((x * y) / ((z \ x) * y),(u * w) \ (v5 * w)) = K(z,L((w * v5) / (w * T(u,v5)),x,y)). [hyper(15393,a,21255,a),flip(a)]. given #19342 (H,wt=27): 21257 K(x,L((y * z) / (y * T(u,z)),w,v5)) = K(x,L((u * y) \ (z * y),w,v5)). [hyper(15393,a,21256,a),flip(a)]. given #19343 (H,wt=26): 21258 K(x,L((y * z) / (y * T(u,z)),y,z \ 1)) = K(x,(z \ (u * y)) \ y). [hyper(236,a,18824,a(flip),b,21257,a)]. given #19344 (H,wt=21): 21259 K(x,y / ((y * T(z,u)) / u)) = K(x,(u \ (z * y)) \ y). [hyper(20722,a,21258,a)]. given #19345 (H,wt=21): 21260 K(x,y / ((y * T(z,u)) / u)) = K(x,y \ (z \ (u * y))). [hyper(236,a,20550,a(flip),b,21259,a)]. given #19346 (H,wt=30): 21261 K(x,y \ (((z * u) / z) \ ((z * u) * y))) = K(x,y / ((y * L(u,z,u)) / (z * u))). [para(4254(a,1),21260(a,1,2,2,1,2)),flip(a)]. given #19347 (H,wt=27): 21262 K(x,y \ (((z * u) / z) \ ((z * u) * y))) = K(x,y / ((y * u) / (z * u))). [hyper(20735,a,21261,a(flip)),flip(a)]. given #19348 (H,wt=23): 21263 K(x,y / ((y * z) / (u * z))) = K(x,y \ (z \ ((z * u) * y))). [para(11070(a,1),21262(a,1,2,2)),flip(a)]. given #19349 (H,wt=46): 19794 K(x,L((y \ L(y,z,z \ 1)) / (u / w),y \ L(y,z,z \ 1),(y \ L(y,z,z \ 1)) \ u)) = K(x,(a(z \ 1,z,y) \ w) / u). [para(19789(a,1),18415(a,2,2,1))]. given #19350 (H,wt=27): 21264 K(x,(y \ L(y,z,z \ 1)) / (u / w)) = K(x,(a(z \ 1,z,y) \ w) / u). [hyper(20834,a,19794,a)]. given #19351 (H,wt=27): 21265 K(x,(y / z) \ (u \ L(u,w,w \ 1))) = K(x,(a(w \ 1,w,u) \ z) / y). [hyper(17770,a,21264,a)]. given #19352 (H,wt=25): 21267 K(x,(a(y \ 1,y,z) \ u) / w) = K(x,(w / u) \ a(z,y,y \ 1)). [hyper(236,a,20133,a(flip),b,21265,a(flip))]. given #19353 (H,wt=25): 21268 K(x,(y / z) \ a(u,w,w \ 1)) = K(x,a(u,w,w \ 1) * (z / y)). [hyper(236,a,21082,a(flip),b,21267,a(flip))]. given #19354 (H,wt=47): 18032 (x * T(a(y,z,u),w)) * K((x * a(y,z,u)) * K(y,a(w,z,u)),v5) = T(K(y,a(w,z,u)) * (x * a(y,z,u)),T(v5,x * a(y,z,u))). [para(17844(a,1),13403(a,1,1))]. given #19355 (H,wt=40): 21269 T(K(x,a(y,z,u)) * (w * a(x,z,u)),T(v5,w * a(x,z,u))) = (w * T(a(x,z,u),y)) * K(w * a(x,z,u),v5). [para(18078(a,1),18032(a,1,2)),flip(a)]. given #19356 (H,wt=38): 21270 T(K(x,a(y,z,u)) * (w * a(x,z,u)),T(v5,w * a(x,z,u))) = T(w * a(x,z,u),v5) * K(a(x,z,u),y). [hyper(236,a,16324,a(flip),b,21269,a)]. given #19357 (H,wt=38): 21272 T(K(x,a(y,z,u)) * (w * a(x,z,u)),T(v5,w * a(x,z,u))) = T(w * a(x,z,u),v5) * K(x,a(y,z,u)). [para(14072(a,1),21270(a,2,2))]. given #19358 (H,wt=33): 21273 T(x * T(a(y,z,u),w),T(v5,x * a(y,z,u))) = T(x * a(y,z,u),v5) * K(y,a(w,z,u)). [para(17844(a,1),21272(a,1,1))]. given #19359 (H,wt=26): 21274 T(x * a(y,z,u),w) * K(y,a(v5,z,u)) = T(x * T(a(y,z,u),v5),w). [hyper(16916,a,21273,a),flip(a)]. given #19360 (H,wt=23): 21275 K(x,T(y * T(a(z,u,w),v5),v6)) = K(x,T(y * a(z,u,w),v6)). [para(21274(a,1),18068(a,1,2))]. given #19361 (H,wt=23): 21276 K(x,T(T(a(y,z,u),w) * v5,v6)) = K(x,T(v5 * a(y,z,u),v6)). [hyper(236,a,17715,a,b,21275,a(flip)),flip(a)]. given #19362 (H,wt=41): 21278 K(x,K(T(T(a(y,z,u),w) * v5,v6),v7) * v8) = (x * T(v9,K(x,v8))) \ (T(x,K(v7,T(v5 * a(y,z,u),v6)) * v8) * v9). [para(21276(a,1),17006(a,1,2,1,2,1)),flip(a)]. given #19363 (H,wt=39): 21279 K(x,K(T(T(a(y,z,u),w) * v5,v6),v7) * v8) = (x * T(v9,K(x,v8))) \ (T(x,K(v5 * a(y,z,u),v7) * v8) * v9). [para(16693(a,1),21278(a,2,2,1))]. given #19364 (H,wt=47): 19025 a(x / T((x \ y) \ 1,y),(x \ y) \ 1,((x \ y) \ 1) \ 1) \ 1 = L((x \ y) \ 1,((x \ y) \ 1) \ 1,x) * (1 / ((x \ y) \ 1)). [para(7113(a,2),19024(a,1,1,1))]. given #19365 (H,wt=47): 20034 ((x \ y) \ K(x \ y,z)) * ((x \ y) * (K(z,x \ y) * T(K(y / x,z) * (x / y),y * K(z,x \ y)))) = (y * K(z,x \ y)) \ x. [para(20033(a,1),12258(a,1,2,2,2,1))]. given #19366 (H,wt=41): 21282 ((x \ y) \ K(x \ y,z)) * ((x \ y) * T((K(y / x,z) * (x / y)) * K(z,y / x),y)) = (y * K(z,x \ y)) \ x. [para(17235(a,1),20034(a,1,2,2))]. given #19367 (H,wt=35): 21283 ((x \ y) \ K(x \ y,z)) * ((x \ y) * T(T(x / y,K(z,y / x)),y)) = (y * K(z,x \ y)) \ x. [para(7395(a,1),21282(a,1,2,2,1))]. given #19368 (H,wt=35): 21284 ((x \ y) \ K(x \ y,z)) * ((x \ y) * T(T(x / y,K(z,x \ y)),y)) = (y * K(z,x \ y)) \ x. [para(16090(a,1),21283(a,1,2,2,1))]. given #19369 (H,wt=33): 21285 ((x \ y) \ K(x \ y,z)) * ((x \ y) * T(y \ x,K(z,x \ y))) = (y * K(z,x \ y)) \ x. [para(183(a,1),21284(a,1,2,2))]. given #19370 (H,wt=27): 21286 ((x \ y) \ K(x \ y,z)) * ((x \ y) * (y \ x)) = (y * K(z,x \ y)) \ x. [para(3074(a,1),21285(a,1,2,2))]. given #19371 (H,wt=29): 21287 K(x \ y,z) * (((x \ y) \ 1) * ((x \ y) * (y \ x))) = (y * K(z,x \ y)) \ x. [hyper(236,a,10324,a,b,21286,a(flip)),flip(a)]. given #19372 (H,wt=19): 21289 (x * K(y,z \ x)) \ z = K(z \ x,y) * (x \ z). [para(2298(a,1),21287(a,1,2)),flip(a)]. given #19373 (H,wt=19): 21290 (x * K(y,z \ x)) \ z = (x \ z) * K(z \ x,y). [hyper(236,a,5865,a(flip),b,21289,a)]. given #19374 (H,wt=23): 21291 (x \ (x / y)) * K((x / y) \ x,z) = (x * K(z,y)) \ (x / y). [para(65(a,1),21290(a,1,1,2,2)),flip(a)]. given #19375 (H,wt=19): 21292 (x * K(y,z)) \ (x / z) = (x \ (x / z)) * K(z,y). [para(65(a,1),21291(a,1,2,1)),flip(a)]. given #19376 (H,wt=29): 21294 L(x,y,((z \ (z / u)) * K(u,w)) \ (z / u)) = L(x,y,T(z * K(w,u),z / u)). [para(21292(a,1),13499(a,1,3,1))]. given #19377 (H,wt=29): 21295 L(x,y,K(z,u) * ((w \ (w / u)) \ (w / u))) = L(x,y,T(w * K(z,u),w / u)). [para(10487(a,1),21294(a,1,3))]. given #19378 (H,wt=27): 21296 L(x,y,K(z,u) * T(w,w \ (w / u))) = L(x,y,T(w * K(z,u),w / u)). [para(120(a,2),21295(a,1,3,2))]. given #19379 (H,wt=25): 21297 L(x,y,T(z * K(u,w),z / w)) = L(x,y,K(u,w) * T(z,w \ 1)). [para(4931(a,1),21296(a,1,3,2)),flip(a)]. given #19380 (H,wt=25): 21299 L(x,y,T(K(z,u) * w,u \ 1)) = L(x,y,T(w * K(z,u),w / u)). [para(16482(a,2),21297(a,2,3)),flip(a)]. given #19381 (H,wt=25): 21300 L(x,y,T(K(z,u) * w,u \ 1)) = L(x,y,T(w * K(z,u),u \ w)). [hyper(236,a,17746,a(flip),b,21299,a)]. given #19382 (H,wt=23): 21301 L(x,y,T(K(z,u) * w,u \ 1)) = L(x,y,u * (w / T(u,z))). [hyper(236,a,20719,a(flip),b,21300,a)]. given #19383 (H,wt=27): 21302 L(x,y,K(z,u) * (w * K(w * u,u \ 1))) = L(x,y,u * (w / T(u,z))). [hyper(236,a,18959,a,b,21301,a(flip)),flip(a)]. given #19384 (H,wt=25): 21303 L(x,y,((z \ K(z,u)) \ w) * (z \ 1)) = L(x,y,z * (w / T(z,u))). [para(17861(a,1),21302(a,1,3))]. given #19385 (H,wt=32): 21304 L(x \ L(x,K(y,z),u),x,z * (u / T(z,y))) = a(x,K(y,z),((z \ 1) \ u) * (z \ 1)). [hyper(236,a,21101,a(flip),b,21303,a(flip))]. given #19386 (H,wt=28): 21305 L(x \ L(x,K(y,z),u),x,z * (u / T(z,y))) = a(x,K(y,z),T(u,z \ 1)). [hyper(236,a,13653,a(flip),b,21304,a)]. given #19387 (H,wt=48): 21054 (x \ K(y,L(x \ 1,(x \ 1) \ 1,z) \ u)) * T(L(x \ 1,(x \ 1) \ 1,z) \ u,y) = u * (L(x \ 1,(x \ 1) \ 1,z) \ (x \ 1)). [hyper(236,a,14102,a,b,21053,a),flip(a)]. given #19388 (H,wt=44): 21306 (x \ K(y,L(x \ 1,(x \ 1) \ 1,z) \ u)) * T(L(x \ 1,(x \ 1) \ 1,z) \ u,y) = u * (L(x \ 1,x,z) \ (x \ 1)). [para(6999(a,1),21054(a,2,2,1))]. given #19389 (H,wt=44): 21307 (x \ K(y,L(x \ 1,(x \ 1) \ 1,z) \ u)) * T(L(x \ 1,(x \ 1) \ 1,z) \ u,y) = u * (x \ (L(1 / x,x,z) \ 1)). [para(6158(a,1),21306(a,2,2))]. given #19390 (H,wt=49): 20558 K(x,((((y \ z) \ z) / ((y * u) \ y)) \ K((y * u) \ y,((y * u) \ y) \ ((y \ z) \ z))) \ w) = K(x,(T(((y \ z) \ z) * u,y) \ 1) \ w). [para(5222(a,2),20555(a,1,2,1))]. given #19391 (H,wt=47): 21308 K(x,((K(y,y \ z) * (y * u)) \ K((y * u) \ y,((y * u) \ y) \ ((y \ z) \ z))) \ w) = K(x,(T(((y \ z) \ z) * u,y) \ 1) \ w). [para(14466(a,1),20558(a,1,2,1,1))]. given #19392 (H,wt=45): 21309 K(x,((T(y,y \ z) * u) \ K((y * u) \ y,((y * u) \ y) \ ((y \ z) \ z))) \ w) = K(x,(T(((y \ z) \ z) * u,y) \ 1) \ w). [para(4906(a,1),21308(a,1,2,1,1))]. given #19393 (H,wt=43): 21310 K(x,((T(y,y \ z) * u) \ K((y * u) \ y,((y * u) \ y) \ T(y,z))) \ w) = K(x,(T(((y \ z) \ z) * u,y) \ 1) \ w). [para(13089(a,1),21309(a,1,2,1,2))]. given #19394 (H,wt=43): 21311 K(x,((T(y,y \ z) * u) \ K((y * u) \ y,T(((y * u) \ y) \ y,z))) \ w) = K(x,(T(((y \ z) \ z) * u,y) \ 1) \ w). [para(11187(a,1),21310(a,1,2,1,2))]. given #19395 (H,wt=41): 21312 K(x,((T(y,y \ z) * u) \ K((y * u) \ y,T(T(y * u,z),y))) \ w) = K(x,(T(((y \ z) \ z) * u,y) \ 1) \ w). [para(7796(a,1),21311(a,1,2,1,2))]. given #19396 (H,wt=39): 21313 K(x,((T(y,y \ z) * u) \ K((y * u) \ y,T(u * y,z))) \ w) = K(x,(T(((y \ z) \ z) * u,y) \ 1) \ w). [para(13042(a,1),21312(a,1,2,1,2))]. given #19397 (H,wt=37): 21314 K(x,((T(y,y \ z) * u) \ K(u \ 1,T(u * y,z))) \ w) = K(x,(T(((y \ z) \ z) * u,y) \ 1) \ w). [para(6294(a,1),21313(a,1,2,1,2))]. given #19398 (H,wt=37): 21315 K(x,(T(y,y \ z) * u) * (w * K(T(u * y,z),u \ 1))) = K(x,(T(((y \ z) \ z) * u,y) \ 1) \ w). [hyper(19461,a,21314,a)]. given #19399 (H,wt=37): 21317 K(x,(T(y,y \ z) * u) * (w * K(u * y,T(u \ 1,z)))) = K(x,(T(((y \ z) \ z) * u,y) \ 1) \ w). [para(7260(a,1),21315(a,1,2,2,2))]. given #19400 (H,wt=35): 21318 K(x,(T(((y \ z) \ z) * u,y) \ 1) \ w) = K(x,(T(y,y \ z) * u) * (w * K(u * y,u \ 1))). [hyper(16765,a,21317,a),flip(a)]. given #19401 (H,wt=49): 21281 a(x / T((x \ y) \ 1,y),(x \ y) \ 1,((x \ y) \ 1) \ 1) \ z = (L((x \ y) \ 1,((x \ y) \ 1) \ 1,x) * (1 / ((x \ y) \ 1))) * z. [para(19025(a,1),18885(a,1,1)),flip(a)]. given #19402 (H,wt=45): 21320 a(x / T((x \ y) \ 1,y),(x \ y) \ 1,((x \ y) \ 1) \ 1) \ z = (L((x \ y) \ 1,x \ y,x) * (1 / ((x \ y) \ 1))) * z. [para(6999(a,1),21281(a,2,1,1))]. given #19403 (H,wt=38): 21321 a(x / T((x \ y) \ 1,y),(x \ y) \ 1,((x \ y) \ 1) \ 1) \ z = ((y \ x) * (1 / ((x \ y) \ 1))) * z. [para(347(a,1),21320(a,2,1,1))]. given #19404 (H,wt=34): 21322 a(x / T((x \ y) \ 1,y),(x \ y) \ 1,((x \ y) \ 1) \ 1) \ z = ((y \ x) * (x \ y)) * z. [para(62(a,1),21321(a,2,1,2))]. given #19405 (H,wt=21): 21324 ((x \ y) \ (1 / (y \ x))) \ z = ((x \ y) * (y \ x)) * z. [para(21226(a,1),21322(a,1,1))]. given #19406 (H,wt=21): 21325 ((x \ y) \ (1 / (y \ x))) * z = ((x \ y) * (y \ x)) \ z. [hyper(305,a,21324,a),flip(a)]. given #19407 (H,wt=21): 21326 x \ (((y \ z) * (z \ y)) \ x) = (y \ z) \ (1 / (z \ y)). [hyper(18,a,14910,a,b,21325,a),flip(a)]. given #19408 (H,wt=21): 21328 x * ((y \ z) \ (1 / (z \ y))) = ((y \ z) * (z \ y)) \ x. [para(21326(a,1),14(a,1,2))]. given #19409 (H,wt=25): 21327 ((x \ (x / y)) * ((x / y) \ x)) \ z = (y \ ((x \ (x / y)) \ 1)) * z. [para(6981(a,1),21325(a,1,1)),flip(a)]. given #19410 (H,wt=21): 21333 (x \ ((y \ (y / x)) \ 1)) * z = ((y \ (y / x)) * x) \ z. [para(65(a,1),21327(a,1,1,2)),flip(a)]. given #19411 (H,wt=19): 21334 ((x \ (x / y)) * y) \ 1 = y \ ((x \ (x / y)) \ 1). [hyper(84,a,21333,a),flip(a)]. given #19412 (H,wt=22): 21335 ((x \ (x / y)) * y) \ 1 != z | y \ ((x \ (x / y)) \ 1) = z. [para(21333(a,1),83(a,1)),flip(b)]. given #19413 (H,wt=23): 21336 (x \ (x / y)) \ (1 / ((x / y) \ x)) = ((x \ (x / y)) * y) \ 1. [hyper(236,a,6981,a,b,21334,a),flip(a)]. given #19414 (H,wt=25): 21330 ((x \ (x * y)) * ((x * y) \ x)) \ z = z * (y \ (1 / ((x * y) \ x))). [para(13(a,1),21328(a,1,2,1)),flip(a)]. given #19415 (H,wt=21): 21338 x * (y \ (1 / ((z * y) \ z))) = (y * ((z * y) \ z)) \ x. [para(13(a,1),21330(a,1,1,1)),flip(a)]. given #19416 (H,wt=21): 21340 (x \ (1 / ((y * x) \ y))) * z = (x * ((y * x) \ y)) \ z. [hyper(236,a,14909,a,b,21338,a(flip)),flip(a)]. given #19417 (H,wt=25): 21331 (((x * y) \ x) * (x \ (x * y))) \ z = z * (((x * y) \ x) \ (1 / y)). [para(13(a,1),21328(a,1,2,2,2)),flip(a)]. given #19418 (H,wt=25): 21332 (((x * y) \ x) * (x \ (x * y))) \ z = z * (y \ (((x * y) \ x) \ 1)). [para(6979(a,1),21328(a,1,2)),flip(a)]. given #19419 (H,wt=21): 21344 x * (y \ (((z * y) \ z) \ 1)) = (((z * y) \ z) * y) \ x. [para(13(a,1),21332(a,1,1,2)),flip(a)]. given #19420 (H,wt=21): 21345 (x \ (((y * x) \ y) \ 1)) * z = (((y * x) \ y) * x) \ z. [hyper(236,a,14906,a,b,21344,a(flip)),flip(a)]. given #19421 (H,wt=29): 21337 (x \ (x / (y \ 1))) \ (1 / ((x / (y \ 1)) \ x)) = (y \ (x \ (x / (y \ 1)))) \ 1. [para(11340(a,1),21336(a,2,1))]. given #19422 (H,wt=29): 21343 (((x * (y \ 1)) \ x) * (x \ (x * (y \ 1)))) \ z = z * (((x * (y \ 1)) \ x) \ y). [para(62(a,1),21331(a,2,2,2))]. given #19423 (H,wt=25): 21347 (((x * (y \ 1)) \ x) * (y \ 1)) \ z = z * (((x * (y \ 1)) \ x) \ y). [para(13(a,1),21343(a,1,1,2))]. given #19424 (H,wt=23): 21349 (x \ ((y * (x \ 1)) \ y)) \ z = z * (((y * (x \ 1)) \ y) \ x). [para(1069(a,1),21347(a,1,1))]. given #19425 (H,wt=19): 21350 ((x * (y \ 1)) \ x) \ y = (x / y) \ (x * (y \ 1)). [hyper(70,a,21349,a(flip),b,19060,a(flip)),flip(a)]. given #19426 (H,wt=23): 21352 (x \ ((y * (x \ 1)) \ y)) \ z = z * ((y / x) \ (y * (x \ 1))). [para(21350(a,1),21349(a,2,2))]. given #19427 (H,wt=24): 21351 (x \ ((y * (x \ 1)) \ y)) \ 1 != z | ((y * (x \ 1)) \ y) \ x = z. [para(21349(a,2),75(a,1)),flip(b)]. given #19428 (H,wt=27): 21353 K(x,x \ 1) * ((y / x) \ (y * (x \ 1))) = (x \ ((y * (1 / x)) \ y)) \ 1. [hyper(236,a,14543,a(flip),b,21352,a(flip))]. given #19429 (H,wt=25): 21354 (x / y) \ (x * (y \ K(y,y \ 1))) = (y \ ((x * (1 / y)) \ x)) \ 1. [hyper(236,a,4687,a(flip),b,21353,a(flip)),flip(a)]. given #19430 (H,wt=21): 21355 (x \ ((y * (1 / x)) \ y)) \ 1 = (y / x) \ (y * (1 / x)). [para(1771(a,1),21354(a,1,2,2)),flip(a)]. given #19431 (H,wt=31): 21346 (x \ (x / ((y \ 1) \ 1))) \ (1 / ((x / ((y \ 1) \ 1)) \ x)) = ((x \ (x / y)) * y) \ 1. [para(11905(a,1),21337(a,2,1))]. given #19432 (H,wt=31): 21356 (x \ (x / ((y \ 1) \ 1))) \ (1 / ((x / ((y \ 1) \ 1)) \ x)) = y \ ((x \ (x / y)) \ 1). [hyper(236,a,21334,a(flip),b,21346,a)]. given #19433 (H,wt=27): 21357 (x \ (x / ((y \ 1) \ 1))) \ (1 / ((y \ 1) \ 1)) = y \ ((x \ (x / y)) \ 1). [para(65(a,1),21356(a,1,2,2))]. given #19434 (H,wt=23): 21358 (x \ (x / ((y \ 1) \ 1))) \ (y \ 1) = y \ ((x \ (x / y)) \ 1). [para(62(a,1),21357(a,1,2))]. given #19435 (H,wt=33): 21339 ((x \ (x * (y \ 1))) * ((x * (y \ 1)) \ x)) \ z = z * ((y \ 1) \ (((x * (1 / y)) \ x) \ 1)). [para(2777(a,1),21330(a,2,2,2))]. given #19436 (H,wt=36): 21341 R(x,y * ((z * y) \ z),y \ (((z * y) \ z) \ 1)) = (y * ((z * y) \ z)) \ ((y * ((z * y) \ z)) * x). [hyper(236,a,15206,a(flip),b,21338,a(flip)),flip(a)]. given #19437 (H,wt=20): 21361 R(x,y * ((z * y) \ z),y \ (((z * y) \ z) \ 1)) = x. [hyper(236,a,13,a(flip),b,21341,a)]. given #19438 (H,wt=21): 21363 (x * (y * ((z * y) \ z))) \ x = y \ (1 / ((z * y) \ z)). [para(21361(a,1),15205(a,1,2))]. given #19439 (H,wt=21): 21364 x / (y \ (1 / ((z * y) \ z))) = x * (y * ((z * y) \ z)). [para(21363(a,1),62(a,1,2))]. given #19440 (H,wt=21): 21366 (x \ (1 / ((y * x) \ y))) \ z = z * (x * ((y * x) \ y)). [hyper(236,a,14911,a(flip),b,21364,a(flip)),flip(a)]. given #19441 (H,wt=29): 21365 (x * ((y \ 1) * ((z * (y \ 1)) \ z))) \ x = (y \ 1) \ (((z * (1 / y)) \ z) \ 1). [para(2777(a,1),21363(a,2,2))]. given #19442 (H,wt=27): 21367 (x \ 1) \ (((y * (1 / x)) \ y) \ 1) = (z * (x \ ((y * (1 / x)) \ y))) \ z. [para(4717(a,1),21365(a,1,1,2)),flip(a)]. given #19443 (H,wt=23): 21368 (x \ 1) \ (((y * (1 / x)) \ y) \ 1) = ((y * (1 / x)) \ y) \ x. [hyper(236,a,293,a(flip),b,21367,a)]. given #19444 (H,wt=29): 21369 ((x \ (x * (y \ 1))) * ((x * (y \ 1)) \ x)) \ z = z * (((x * (1 / y)) \ x) \ y). [para(21368(a,1),21339(a,2,2))]. given #19445 (H,wt=25): 21370 ((x \ 1) * ((y * (x \ 1)) \ y)) \ z = z * (((y * (1 / x)) \ y) \ x). [para(13(a,1),21369(a,1,1,1))]. given #19446 (H,wt=23): 21372 (x \ ((y * (1 / x)) \ y)) \ z = z * (((y * (1 / x)) \ y) \ x). [para(4717(a,1),21370(a,1,1))]. given #19447 (H,wt=19): 21373 ((x * (1 / y)) \ x) \ y = (x / y) \ (x * (1 / y)). [hyper(70,a,21372,a(flip),b,21355,a(flip)),flip(a)]. given #19448 (H,wt=18): 21376 L(x,x \ 1,y) \ x = (y / x) \ (y * (1 / x)). [para(2767(a,2),21373(a,1,1))]. given #19449 (H,wt=16): 21377 (x / y) \ (x * (1 / y)) = a(x,y \ 1,y). [hyper(236,a,21058,a(flip),b,21376,a(flip))]. given #19450 (H,wt=23): 21375 (x / (1 / y)) \ (x * (1 / (1 / y))) = y \ (1 / ((x * y) \ x)). [hyper(236,a,6983,a(flip),b,21373,a(flip))]. given #19451 (H,wt=20): 21378 a(x,(1 / y) \ 1,1 / y) = y \ (1 / ((x * y) \ x)). [hyper(236,a,21377,a(flip),b,21375,a(flip)),flip(a)]. given #19452 (H,wt=16): 21379 x \ (1 / ((y * x) \ y)) = a(y,x,x \ 1). [hyper(10971,a,21378,a),flip(a)]. given #19453 (H,wt=17): 21381 x \ (L(1 / x,x,y) \ 1) = a(y,x,x \ 1). [para(2701(a,2),21379(a,1,2))]. given #19454 (H,wt=18): 21383 (x * ((y * x) \ y)) \ z = a(y,x,x \ 1) * z. [para(21379(a,1),21340(a,1,1)),flip(a)]. given #19455 (H,wt=18): 21384 x * (y * ((z * y) \ z)) = a(z,y,y \ 1) \ x. [para(21379(a,1),21366(a,1,1)),flip(a)]. given #19456 (H,wt=17): 21387 a(x,y,y \ 1) \ (1 / y) = L(1 / y,y,x). [hyper(236,a,854,a(flip),b,21384,a(flip))]. given #19457 (H,wt=19): 21382 (x \ 1) \ a(y,x,x \ 1) = L(x \ 1,x,y) \ 1. [para(21379(a,1),6984(a,1,2))]. given #19458 (H,wt=20): 21380 a(x,x \ y,(x \ y) \ 1) = (x \ y) \ (1 / (y \ x)). [para(14(a,1),21379(a,1,2,2,1)),flip(a)]. given #19459 (H,wt=19): 21391 (x \ y) \ (1 / (y \ x)) = x \ (y * ((x \ y) \ 1)). [hyper(236,a,687,a(flip),b,21380,a(flip))]. given #19460 (H,wt=21): 21393 (x \ (y * ((x \ y) \ 1))) * z = ((x \ y) * (y \ x)) \ z. [para(21391(a,1),21325(a,1,1))]. given #19461 (H,wt=21): 21394 (((x \ y) * (y \ x)) \ z) \ z = (y * ((x \ y) \ 1)) \ x. [para(21393(a,1),19037(a,1,1))]. given #19462 (H,wt=17): 21395 (x * ((y \ x) \ 1)) \ y = (y \ x) * (x \ y). [hyper(18254,a,21394,a)]. given #19463 (H,wt=21): 21396 ((x \ y) \ y) * (y \ (x \ y)) = x \ ((y * (x \ 1)) \ y). [hyper(236,a,20999,a(flip),b,21395,a(flip))]. given #19464 (H,wt=17): 21397 x \ ((y * (x \ 1)) \ y) = x * (y \ (y / x)). [hyper(236,a,7054,a(flip),b,21396,a(flip))]. given #19465 (H,wt=17): 21398 (x * (y \ 1)) \ (x / y) = y * (x \ (x / y)). [hyper(236,a,19052,a,b,21397,a(flip)),flip(a)]. given #19466 (H,wt=22): 21386 K(x,y \ (((z * y) \ z) \ u)) = K(x,a(z,y,y \ 1) * u). [para(21383(a,1),15254(a,1,2)),flip(a)]. given #19467 (H,wt=22): 21399 K(x,(((y * z) \ y) * z) \ u) = K(x,a(y,z,z \ 1) * u). [hyper(236,a,15006,a,b,21386,a(flip)),flip(a)]. given #19468 (H,wt=23): 21392 (x * y) \ (x * (((x * y) \ x) \ 1)) = y \ (((x * y) \ x) \ 1). [hyper(236,a,6979,a(flip),b,21391,a(flip))]. given #19469 (H,wt=24): 21374 (x \ ((y * (1 / x)) \ y)) \ 1 != z | ((y * (1 / x)) \ y) \ x = z. [para(21372(a,2),75(a,1)),flip(b)]. given #19470 (H,wt=26): 21385 a(x,y,y \ 1) * (L(1 / y,y,x) * z) = L(y \ z,y,(x * y) \ x). [hyper(236,a,12110,a(flip),b,21383,a(flip))]. given #19471 (H,wt=38): 21388 ((x * a(y,z,z \ 1)) * L(1 / z,z,y)) / (1 / z) = R(x,a(y,z,z \ 1),a(y,z,z \ 1) \ (1 / z)). [para(21387(a,1),112(a,1,1,2))]. given #19472 (H,wt=38): 21389 R(x / a(y,z,z \ 1),a(y,z,z \ 1),L(1 / z,z,y)) = (x * (a(y,z,z \ 1) \ (1 / z))) / (1 / z). [para(21387(a,1),484(a,1,3))]. given #19473 (H,wt=38): 21390 K(x,y / ((a(z,u,u \ 1) / T(u \ 1,a(z,u,u \ 1))) \ w)) = K(x,y / ((L(u \ 1,u,z) \ 1) \ w)). [para(21382(a,1),21173(a,2,2,2,1))]. given #19474 (H,wt=31): 21402 K(x,y / ((a(z,u,u \ 1) / (u \ 1)) \ w)) = K(x,y / ((L(u \ 1,u,z) \ 1) \ w)). [para(13881(a,1),21390(a,1,2,2,1,2))]. given #19475 (H,wt=38): 21400 ((x * a(y,z,z \ 1)) / (1 / z)) * L(1 / z,z,y) = R(x,a(y,z,z \ 1),a(y,z,z \ 1) \ (1 / z)). [hyper(1672,a,21388,a)]. given #19476 (H,wt=38): 21401 R(a(x,y,y \ 1) \ z,a(x,y,y \ 1),L(1 / y,y,x)) = (z * (a(x,y,y \ 1) \ (1 / y))) / (1 / y). [para(13896(a,1),21389(a,1,1))]. given #19477 (H,wt=50): 21237 K(x,L(T((y * (z \ 1)) * u,(y * (z \ 1)) * (y / z)),(y * (z \ 1)) \ 1,y / z)) = K(x,((y / z) * u) / ((y * (z \ 1)) \ ((y / z) * 1))). [para(1583(a,2),21236(a,2,2,2))]. given #19478 (H,wt=50): 21405 K(x,L(T((y * (z \ 1)) * u,(y / z) * (y * (z \ 1))),(y * (z \ 1)) \ 1,y / z)) = K(x,((y / z) * u) / ((y * (z \ 1)) \ ((y / z) * 1))). [hyper(16413,a,21237,a)]. given #19479 (H,wt=50): 21406 K(x,L(T((y * (z \ 1)) * u,(y / z) * (y * (z \ 1))),(y * (z \ 1)) \ 1,z \ y)) = K(x,((y / z) * u) / ((y * (z \ 1)) \ ((y / z) * 1))). [hyper(17848,a,21405,a)]. given #19480 (H,wt=44): 21407 K(x,L(T((y * (z \ 1)) * u,(y / z) * (y * (z \ 1))),1,z \ y)) = K(x,((y / z) * u) / ((y * (z \ 1)) \ ((y / z) * 1))). [hyper(236,a,20028,a(flip),b,21406,a(flip)),flip(a)]. given #19481 (H,wt=39): 21408 K(x,((y / z) * u) / ((y * (z \ 1)) \ ((y / z) * 1))) = K(x,T((y * (z \ 1)) * u,(y / z) * (y * (z \ 1)))). [para(325(a,1),21407(a,1,2)),flip(a)]. given #19482 (H,wt=57): 19915 (((x * T(y,z)) / y) \ K(y,z)) * (u / (((x * T(y,z)) / y) \ K(y,z))) = (((x * T(y,z)) \ T(y,z)) * K(x * T(y,z),x \ 1)) * (u / (T(y,z) / (x * T(y,z)))). [para(5803(a,2),19906(a,2,1))]. given #19483 (H,wt=55): 21410 (((x * T(y,z)) \ T(y,z)) * K(x * T(y,z),x \ 1)) * (u / (T(y,z) / (x * T(y,z)))) = ((x * K(y,z)) \ K(y,z)) * (u / (((x * T(y,z)) / y) \ K(y,z))). [para(6194(a,1),19915(a,1,1,1)),flip(a)]. given #19484 (H,wt=53): 21411 (((x * T(y,z)) \ T(y,z)) * K(x * T(y,z),x \ 1)) * (u / (T(y,z) / (x * T(y,z)))) = T(x \ 1,K(y,z)) * (u / (((x * T(y,z)) / y) \ K(y,z))). [para(14609(a,1),21410(a,2,1))]. given #19485 (H,wt=51): 21412 (((x * T(y,z)) \ T(y,z)) * K(x * T(y,z),x \ 1)) * (u / (T(y,z) / (x * T(y,z)))) = T(x \ 1,K(y,z)) * (u / ((x * K(y,z)) \ K(y,z))). [para(6194(a,1),21411(a,2,2,2,1))]. given #19486 (H,wt=49): 21413 (((x * T(y,z)) \ T(y,z)) * K(x * T(y,z),x \ 1)) * (u / (T(y,z) / (x * T(y,z)))) = T(x \ 1,K(y,z)) * (u / T(x \ 1,K(y,z))). [para(14609(a,1),21412(a,2,2,2))]. given #19487 (H,wt=41): 21414 (((x * T(y,z)) \ T(y,z)) * K(x * T(y,z),x \ 1)) * (u / (T(y,z) / (x * T(y,z)))) = (x \ 1) * (u / (x \ 1)). [hyper(236,a,16320,a(flip),b,21413,a)]. given #19488 (H,wt=27): 21416 (x / (y * x)) * (z / (T(x,u) / (y * T(x,u)))) = (y \ 1) * (z / (y \ 1)). [para(14485(a,1),21414(a,1,1))]. given #19489 (H,wt=23): 21417 (x / (y * x)) * (z / (x / (y * x))) = (y \ 1) * (z / (y \ 1)). [para(14461(a,1),21416(a,1,2,2))]. given #19490 (H,wt=25): 21419 R(x \ 1,x,y) * (z / R(x \ 1,x,y)) = (x \ 1) * (z / (x \ 1)). [hyper(236,a,17426,a,b,21417,a(flip)),flip(a)]. given #19491 (H,wt=57): 20806 (((x \ K(x,y)) \ a(z,(x \ K(x,y)) \ 1,x \ K(x,y))) * K(x,y)) * (x \ 1) = K((x \ K(x,y)) \ 1,x \ K(x,y)) * a(z,(x \ K(x,y)) \ 1,x \ K(x,y)). [hyper(236,a,9490,a,b,20805,a),flip(a)]. given #19492 (H,wt=57): 21061 (x * y) * (((z \ L(z,z \ 1,y)) \ L(R(y,z \ 1,z) \ 1,y,x)) * (z \ L(z,z \ 1,y))) = x * ((z \ L(z,z \ 1,y)) * K(y \ 1,z \ L(z,z \ 1,y))). [para(21059(a,1),6054(a,1,2,1,2,1))]. given #19493 (H,wt=39): 21423 (x * y) * L(R(y,z \ 1,z) \ 1,y,x) = x * ((z \ L(z,z \ 1,y)) * K(y \ 1,z \ L(z,z \ 1,y))). [para(13737(a,1),21061(a,1,2))]. given #19494 (H,wt=36): 21424 x * ((y \ L(y,y \ 1,z)) * K(z \ 1,y \ L(y,y \ 1,z))) = x * (z * (R(z,y \ 1,y) \ 1)). [hyper(219,a,21423,a),flip(a)]. given #19495 (H,wt=34): 21426 x * ((y \ L(y,y \ 1,z)) * K(z \ 1,y \ L(y,y \ 1,z))) = x * (R(z,y \ 1,y) \ z). [para(1504(a,1),21424(a,2,2))]. given #19496 (H,wt=32): 21427 x * ((y \ L(y,y \ 1,z)) * K(z \ 1,y \ L(y,y \ 1,z))) = a(z,y \ 1,y) \ x. [hyper(236,a,18872,a(flip),b,21426,a)]. given #19497 (H,wt=21): 21428 x * ((y \ L(y,y \ 1,z)) * 1) = a(z,y \ 1,y) \ x. [para(13734(a,1),21427(a,1,2,2))]. given #19498 (H,wt=19): 21429 x * (y \ L(y,y \ 1,z)) = a(z,y \ 1,y) \ x. [para(12(a,1),21428(a,1,2))]. given #19499 (H,wt=23): 21431 (a(x,y \ 1,y) \ (1 / y)) \ (y \ 1) = a(y \ x,y,y \ 1). [para(21429(a,1),19031(a,1,1))]. given #19500 (H,wt=23): 21432 L(x \ 1,x,y * (x \ 1)) \ (x \ 1) = a(x \ y,x,x \ 1). [para(19015(a,2),21431(a,1,1))]. given #19501 (H,wt=23): 21433 x \ (L(1 / x,x,y * (x \ 1)) \ 1) = a(x \ y,x,x \ 1). [hyper(236,a,6158,a(flip),b,21432,a(flip)),flip(a)]. given #19502 (H,wt=57): 21422 (((x \ K(x,y)) \ a(z,(x \ K(x,y)) \ 1,x \ K(x,y))) * K(x,y)) * (x \ 1) = K((x \ 1) \ K(y,x),x \ K(x,y)) * a(z,(x \ K(x,y)) \ 1,x \ K(x,y)). [para(5790(a,1),20806(a,2,1,1))]. given #19503 (H,wt=55): 21434 (((x \ K(x,y)) \ a(z,(x \ K(x,y)) \ 1,x \ K(x,y))) * K(x,y)) * (x \ 1) = K(x * K(y,x),x \ K(x,y)) * a(z,(x \ K(x,y)) \ 1,x \ K(x,y)). [para(14050(a,1),21422(a,2,1))]. given #19504 (H,wt=49): 21435 (((x \ K(x,y)) \ a(z,(x \ K(x,y)) \ 1,x \ K(x,y))) * K(x,y)) * (x \ 1) = K(x,x \ 1) * a(z,(x \ K(x,y)) \ 1,x \ K(x,y)). [para(16269(a,1),21434(a,2,1))]. given #19505 (H,wt=47): 21436 (((x \ K(x,y)) \ a(z,(x \ K(x,y)) \ 1,x \ K(x,y))) * K(x,y)) * (x \ 1) = K(x,x \ 1) * a(z,K(y,x) * x,x \ K(x,y)). [para(14540(a,1),21435(a,2,2))]. given #19506 (H,wt=47): 21438 (((x \ K(x,y)) \ a(z,(x \ K(x,y)) \ 1,x \ K(x,y))) * K(x,y)) * (x \ 1) = K(x,x \ 1) * a(z,T(x,y \ x),x \ K(x,y)). [para(14999(a,2),21436(a,2,2))]. given #19507 (H,wt=41): 21439 (((x \ K(x,y)) \ a(z,(x \ K(x,y)) \ 1,x \ K(x,y))) * K(x,y)) * (x \ 1) = K(x,x \ 1) * a(z,x,x \ 1). [para(15039(a,1),21438(a,2,2))]. given #19508 (H,wt=39): 21440 (((x \ K(x,y)) \ a(z,(x \ K(x,y)) \ 1,x \ K(x,y))) * K(x,y)) * (x \ 1) = x * (a(z,x,x \ 1) / x). [hyper(236,a,20125,a(flip),b,21439,a)]. given #19509 (H,wt=37): 21442 (((x \ K(x,y)) \ a(z,K(y,x) * x,x \ K(x,y))) * K(x,y)) * (x \ 1) = x * (a(z,x,x \ 1) / x). [para(14540(a,1),21440(a,1,1,1,2))]. given #19510 (H,wt=37): 21443 (((x \ K(x,y)) \ a(z,T(x,y \ x),x \ K(x,y))) * K(x,y)) * (x \ 1) = x * (a(z,x,x \ 1) / x). [para(14999(a,2),21442(a,1,1,1,2))]. given #19511 (H,wt=31): 21444 (((x \ K(x,y)) \ a(z,x,x \ 1)) * K(x,y)) * (x \ 1) = x * (a(z,x,x \ 1) / x). [para(15039(a,1),21443(a,1,1,1,2))]. given #19512 (H,wt=25): 21445 ((x \ 1) \ a(y,x,x \ 1)) * (x \ 1) = x * (a(y,x,x \ 1) / x). [para(4690(a,1),21444(a,1,1))]. given #19513 (H,wt=58): 20154 K(x \ 1,T(x * a((x \ 1) \ y,x \ 1,(x \ 1) \ 1),z)) * T(a((x \ 1) \ y,x \ 1,(x \ 1) \ 1),z) = T((x \ 1) * (L(x \ 1,(x \ 1) \ 1,y) \ 1),z). [para(20152(a,1),14354(a,2,1,2))]. given #19514 (H,wt=54): 21447 K(x \ 1,T(x * a((x \ 1) \ y,x \ 1,x),z)) * T(a((x \ 1) \ y,x \ 1,(x \ 1) \ 1),z) = T((x \ 1) * (L(x \ 1,(x \ 1) \ 1,y) \ 1),z). [para(11929(a,1),20154(a,1,1,2,1,2))]. given #19515 (H,wt=43): 21448 K(x \ 1,T(x,y)) * T(a((x \ 1) \ z,x \ 1,(x \ 1) \ 1),y) = T((x \ 1) * (L(x \ 1,(x \ 1) \ 1,z) \ 1),y). [para(20276(a,1),21447(a,1,1))]. given #19516 (H,wt=41): 21449 K(x \ 1,x) * T(a((x \ 1) \ y,x \ 1,(x \ 1) \ 1),z) = T((x \ 1) * (L(x \ 1,(x \ 1) \ 1,y) \ 1),z). [para(3239(a,1),21448(a,1,1))]. given #19517 (H,wt=37): 21452 T((x \ 1) * (L(x \ 1,(x \ 1) \ 1,y) \ 1),z) = K(x \ 1,x) * T(a((x \ 1) \ y,x \ 1,x),z). [para(11929(a,1),21449(a,1,2,1)),flip(a)]. given #19518 (H,wt=35): 21453 T((x \ 1) * (L(x \ 1,(x \ 1) \ 1,y) \ 1),z) = K(x \ 1,x) * a((x \ 1) \ y,x \ 1,x). [para(13884(a,1),21452(a,2,2))]. given #19519 (H,wt=33): 21454 T((x \ 1) * (L(x \ 1,(x \ 1) \ 1,y) \ 1),z) = (x \ a((x \ 1) \ y,x \ 1,x)) * x. [hyper(236,a,20805,a(flip),b,21453,a)]. given #19520 (H,wt=29): 21457 T((x \ 1) * (L(x \ 1,x,y) \ 1),z) = (x \ a((x \ 1) \ y,x \ 1,x)) * x. [para(6999(a,1),21454(a,1,1,2,1))]. given #19521 (H,wt=27): 21458 T(L(x \ 1,x,y) \ (x \ 1),z) = (x \ a((x \ 1) \ y,x \ 1,x)) * x. [para(1211(a,1),21457(a,1,1))]. given #19522 (H,wt=25): 21459 (x \ a((x \ 1) \ y,x \ 1,x)) * x = x \ (L(1 / x,x,y) \ 1). [hyper(236,a,15219,a(flip),b,21458,a(flip))]. given #19523 (H,wt=23): 21461 (x \ (L(1 / x,x,y) \ 1)) * z = (x * L(x \ 1,x,y)) \ z. [para(21459(a,1),20809(a,1,1))]. given #19524 (H,wt=23): 21462 x * (y \ (L(1 / y,y,z) \ 1)) = (y * L(y \ 1,y,z)) \ x. [hyper(236,a,15216,a(flip),b,21461,a(flip)),flip(a)]. given #19525 (H,wt=19): 21464 (x * L(x \ 1,x,y)) \ z = z * a(y,x,x \ 1). [para(21381(a,1),21462(a,1,2)),flip(a)]. given #19526 (H,wt=25): 21460 x \ (L(1 / x,x,y * (x \ 1)) \ 1) = (x \ a(y,x \ 1,x)) * x. [para(14785(a,1),21459(a,1,1,2)),flip(a)]. given #19527 (H,wt=19): 21465 (x \ a(y,x \ 1,x)) * x = a(x \ y,x,x \ 1). [hyper(236,a,21433,a(flip),b,21460,a(flip))]. given #19528 (H,wt=23): 21466 x \ (a(y,x \ 1,x) / (1 / x)) = (x \ a(y,x \ 1,x)) * x. [para(20236(a,1),21460(a,1,2))]. given #19529 (H,wt=23): 21467 a(x \ ((x \ 1) \ y),x,x \ 1) = x \ (L(1 / x,x,y) \ 1). [hyper(236,a,21459,a(flip),b,21465,a(flip))]. given #19530 (H,wt=20): 21469 (x \ (x / (y \ 1))) \ y = y \ (L(1 / y,y,x) \ 1). [hyper(236,a,20156,a(flip),b,21467,a(flip)),flip(a)]. given #19531 (H,wt=16): 21470 (x \ (x / (y \ 1))) \ y = a(x,y,y \ 1). [hyper(236,a,21381,a(flip),b,21469,a)]. given #19532 (H,wt=20): 21471 a(x,y \ 1,(y \ 1) \ 1) = y \ ((x \ (x / y)) \ 1). [hyper(236,a,21358,a(flip),b,21470,a(flip))]. given #19533 (H,wt=16): 21472 x \ ((y \ (y / x)) \ 1) = a(y,x \ 1,x). [hyper(236,a,18762,a(flip),b,21471,a(flip))]. given #19534 (H,wt=18): 21473 ((x \ (x / y)) * y) \ z = a(x,y \ 1,y) * z. [para(21472(a,1),21333(a,1,1)),flip(a)]. given #19535 (H,wt=22): 21474 K(x,y \ ((z \ (z / y)) \ u)) = K(x,a(z,y \ 1,y) * u). [para(21473(a,1),15008(a,1,2)),flip(a)]. given #19536 (H,wt=22): 21475 K(x,(y * (z \ (z / y))) \ u) = K(x,a(z,y \ 1,y) * u). [hyper(236,a,20775,a,b,21474,a(flip)),flip(a)]. given #19537 (H,wt=38): 21455 K(x \ 1,x) * a((x \ 1) \ y,x \ 1,x) != z | T((x \ 1) * (L(x \ 1,(x \ 1) \ 1,y) \ 1),u) = z. [para(21453(a,1),3765(a,1))]. given #19538 (H,wt=42): 21463 (x \ K(y,L(x \ 1,(x \ 1) \ 1,z) \ u)) * T(L(x \ 1,(x \ 1) \ 1,z) \ u,y) = (x * L(x \ 1,x,z)) \ u. [hyper(236,a,21307,a,b,21462,a(flip)),flip(a)]. given #19539 (H,wt=38): 21476 (x \ K(y,L(x \ 1,x,z) \ u)) * T(L(x \ 1,(x \ 1) \ 1,z) \ u,y) = (x * L(x \ 1,x,z)) \ u. [para(6999(a,1),21463(a,1,1,2,2,1))]. given #19540 (H,wt=34): 21477 (x \ K(y,L(x \ 1,x,z) \ u)) * T(L(x \ 1,x,z) \ u,y) = (x * L(x \ 1,x,z)) \ u. [para(6999(a,1),21476(a,1,2,1,1))]. given #19541 (H,wt=23): 21478 (x \ 1) * (L(x \ 1,x,y) \ z) = (x * L(x \ 1,x,y)) \ z. [hyper(236,a,14102,a(flip),b,21477,a(flip)),flip(a)]. given #19542 (H,wt=23): 21479 ((x * L(x \ 1,x,y)) \ z) / (1 / x) = z / L(1 / x,x,y). [para(21478(a,1),6990(a,1,1))]. given #19543 (H,wt=21): 21480 (x * a(y,z,z \ 1)) / (1 / z) = x / L(1 / z,z,y). [para(21464(a,1),21479(a,1,1))]. given #19544 (H,wt=34): 21481 R(x,a(y,z,z \ 1),a(y,z,z \ 1) \ (1 / z)) = (x / L(1 / z,z,y)) * L(1 / z,z,y). [para(21480(a,1),21400(a,1,1)),flip(a)]. given #19545 (H,wt=20): 21482 R(x,a(y,z,z \ 1),a(y,z,z \ 1) \ (1 / z)) = x. [hyper(236,a,16,a(flip),b,21481,a)]. given #19546 (H,wt=16): 21484 R(x,a(y,z,z \ 1),L(1 / z,z,y)) = x. [para(21387(a,1),21482(a,1,3))]. given #19547 (H,wt=25): 21485 (x * (a(y,z,z \ 1) \ (1 / z))) / (1 / z) = a(y,z,z \ 1) \ x. [hyper(236,a,21401,a(flip),b,21484,a(flip)),flip(a)]. given #19548 (H,wt=21): 21487 (x * L(1 / y,y,z)) / (1 / y) = a(z,y,y \ 1) \ x. [para(21387(a,1),21485(a,1,1,2))]. given #19549 (H,wt=21): 21488 (x / (1 / y)) * L(1 / y,y,z) = a(z,y,y \ 1) \ x. [hyper(1672,a,21487,a)]. given #19550 (H,wt=21): 21489 (x / (y \ 1)) * L(y \ 1,y,z) = a(z,y,y \ 1) \ x. [hyper(11379,a,21488,a)]. given #19551 (H,wt=20): 21490 (x / (y \ 1)) * ((z * y) \ z) = a(z,y,y \ 1) \ x. [hyper(236,a,348,a(flip),b,21489,a(flip)),flip(a)]. given #19552 (H,wt=21): 21491 a(x,y,y \ 1) \ ((y \ 1) * z) = L(y \ 1,y,x) * z. [hyper(6732,a,21490,a),flip(a)]. given #19553 (H,wt=21): 21492 a(x,y,y \ 1) * (L(y \ 1,y,x) * z) = (y \ 1) * z. [para(21491(a,1),14(a,1,2))]. given #19554 (H,wt=21): 21493 (L(x \ 1,x,y) * z) * a(y,x,x \ 1) = (x \ 1) * z. [para(21491(a,1),13895(a,1,1))]. given #19555 (H,wt=20): 21495 (((x * y) \ x) * z) * a(x,y,y \ 1) = (y \ 1) * z. [para(158(a,1),21493(a,1,1,1))]. given #19556 (H,wt=24): 21496 (x * ((y * z) \ y)) * a(y,z,z \ 1) = (z \ 1) * T(x,z \ 1). [para(6377(a,1),21495(a,1,1))]. given #19557 (H,wt=20): 21498 (x * ((y * z) \ y)) * a(y,z,z \ 1) = x * (z \ 1). [hyper(236,a,119,a(flip),b,21496,a)]. given #19558 (H,wt=29): 21494 a(x,y,y \ 1) * (L(y \ 1,y,x) * (T(y,y \ 1) * z)) = (1 / y) * (y * z). [hyper(236,a,5781,a(flip),b,21492,a)]. given #19559 (H,wt=25): 21500 a(x,y,y \ 1) * (L(1 / y,y,x) * (y * z)) = (1 / y) * (y * z). [para(11702(a,1),21494(a,1,2))]. given #19560 (H,wt=20): 21501 L(x \ (x * y),x,(z * x) \ z) = (1 / x) * (x * y). [hyper(236,a,21385,a(flip),b,21500,a(flip)),flip(a)]. given #19561 (H,wt=16): 21502 L(x,y,(z * y) \ z) = (1 / y) * (y * x). [para(13(a,1),21501(a,1,1))]. given #19562 (H,wt=15): 21503 L(x,y,(z * y) \ z) = L(x,y,y \ 1). [hyper(236,a,2923,a(flip),b,21502,a)]. given #19563 (H,wt=16): 21506 L(x,y,y \ 1) \ x = (x / (y * x)) * y. [para(21503(a,1),13559(a,1,1))]. given #19564 (H,wt=14): 21507 (x / (y * x)) * y = a(y \ 1,y,x). [hyper(3684,a,21506,a),flip(a)]. given #19565 (H,wt=18): 21505 L(x,y,(z * y) \ z) != u | L(x,y,y \ 1) = u. [para(21502(a,2),2932(a,1))]. given #19566 (H,wt=25): 21509 L(x \ ((y / (x * y)) \ z),x,y / (x * y)) = a(x \ 1,x,y) \ z. [para(21507(a,1),227(a,2,1))]. given #19567 (H,wt=25): 21511 L(x \ ((y / (x * y)) \ z),x,(y * x) \ y) = a(x \ 1,x,y) \ z. [hyper(236,a,13558,a(flip),b,21509,a(flip)),flip(a)]. given #19568 (H,wt=23): 21512 L(x \ ((y / (x * y)) \ z),x,x \ 1) = a(x \ 1,x,y) \ z. [hyper(21505,a,21511,a)]. given #19569 (H,wt=20): 21513 (1 / x) * ((y / (x * y)) \ z) = a(x \ 1,x,y) \ z. [hyper(2928,a,21512,a)]. given #19570 (H,wt=21): 21515 (x \ 1) * (R(x \ 1,x,y) \ z) = a(x \ 1,x,y) \ z. [hyper(236,a,4733,a,b,21513,a(flip)),flip(a)]. given #19571 (H,wt=21): 21516 (a(x \ 1,x,y) \ z) / (x \ 1) = z / R(x \ 1,x,y). [para(21513(a,1),11870(a,1,1))]. given #19572 (H,wt=25): 21517 x \ (x * (y / R(z \ 1,z,u))) = (a(z \ 1,z,u) \ y) / (z \ 1). [hyper(236,a,13,a,b,21516,a),flip(a)]. given #19573 (H,wt=24): 21518 (a(x \ 1,x,y) \ z) / (x \ 1) != u | z / R(x \ 1,x,y) = u. [para(21517(a,1),283(a,1)),flip(b)]. given #19574 (H,wt=29): 21519 R(x \ 1,x,y) \ ((x \ 1) * (z / (x \ 1))) = (a(x \ 1,x,y) \ z) / (x \ 1). [para(21419(a,1),21517(a,1,2))]. given #19575 (H,wt=29): 21520 (a(x \ 1,x,y) \ (z * (x \ 1))) / (x \ 1) = R(x \ 1,x,y) \ ((x \ 1) * z). [para(15(a,1),21519(a,1,2,2)),flip(a)]. given #19576 (H,wt=29): 21521 (a(x \ 1,x,y) \ (z * (x \ 1))) / (x \ 1) = (x \ 1) * (R(x \ 1,x,y) \ z). [hyper(236,a,1503,a(flip),b,21520,a)]. given #19577 (H,wt=25): 21522 (a(x \ 1,x,y) \ (z * (x \ 1))) / (x \ 1) = a(x \ 1,x,y) \ z. [hyper(236,a,21515,a(flip),b,21521,a)]. given #19578 (H,wt=21): 21523 (x * (y \ 1)) / R(y \ 1,y,z) = a(y \ 1,y,z) \ x. [hyper(21518,a,21522,a)]. given #19579 (H,wt=16): 21524 a(x \ 1,x,y) \ ((1 / x) \ y) = x * y. [hyper(236,a,4453,a(flip),b,21523,a(flip))]. given #19580 (H,wt=18): 21525 (x * y) / ((1 / x) \ y) = a(x \ 1,x,y) \ 1. [hyper(74,a,21524,a(flip),b,19788,a)]. given #19581 (H,wt=22): 21527 (a(x \ 1,x,y) \ 1) \ T(x * y,z) = T((1 / x) \ y,z). [para(21525(a,1),14659(a,1,1))]. given #19582 (H,wt=20): 21528 a(x \ 1,x,y) * T(x * y,z) = T((1 / x) \ y,z). [hyper(236,a,19790,a(flip),b,21527,a(flip)),flip(a)]. given #19583 (H,wt=23): 21526 a(x \ 1,x,y) \ ((1 / x) \ y) != z * u | (x * y) / u = z. [para(21524(a,2),555(a,1))]. given #19584 (H,wt=28): 21529 K(x,a(y \ 1,y,z) \ (u / T(y * z,w))) = K(x,u / T((1 / y) \ z,w)). [para(21528(a,1),20129(a,1,2,2)),flip(a)]. given #19585 (H,wt=28): 21530 K(x,a(y \ 1,y,z) \ (u / T(y * z,w))) = K(x,u / T((y \ 1) \ z,w)). [hyper(236,a,21177,a(flip),b,21529,a)]. given #19586 (H,wt=28): 21531 K(x,a(y,z,z \ 1) * (u / T(z * y,w))) = K(x,u / T((z \ 1) \ y,w)). [hyper(236,a,18864,a(flip),b,21530,a(flip)),flip(a)]. given #19587 (H,wt=28): 21532 K(x,(y / T(z * u,w)) * a(u,z,z \ 1)) = K(x,y / T((z \ 1) \ u,w)). [hyper(17723,a,21531,a)]. given #19588 (H,wt=26): 21533 K(x,(y / T(z * u,y)) * a(u,z,z \ 1)) = K(x,((z \ 1) \ u) \ y). [hyper(236,a,13047,a(flip),b,21532,a)]. given #19589 (H,wt=24): 21535 K(x,((y * z) \ u) * a(z,y,y \ 1)) = K(x,((y \ 1) \ z) \ u). [hyper(13299,a,21533,a)]. given #19590 (H,wt=26): 21534 K(x,(y / T(z * u,x)) * a(u,z,z \ 1)) = K(x,y / ((z \ 1) \ u)). [hyper(236,a,7466,a(flip),b,21532,a)]. given #19591 (H,wt=24): 21536 K(x,(y / (z * u)) * a(u,z,z \ 1)) = K(x,y / ((z \ 1) \ u)). [hyper(17198,a,21534,a)]. given #19592 (H,wt=33): 21497 K(x,(((y * L(z,u,z)) \ y) * w) * a(y,L(z,u,z),L(z,u,z) \ 1)) = K(x,(z \ 1) * w). [para(21495(a,2),13021(a,1,2))]. given #19593 (H,wt=30): 21537 K(x,(((y * L(z,u,z)) \ y) * w) * a(y,L(z,u,z),z \ 1)) = K(x,(z \ 1) * w). [para(13642(a,1),21497(a,1,2,2))]. given #19594 (H,wt=27): 21538 K(x,(((y * L(z,u,z)) \ y) * w) * a(y,z,z \ 1)) = K(x,(z \ 1) * w). [para(13649(a,1),21537(a,1,2,2))]. given #19595 (H,wt=28): 21541 K(x,(((y * L(z,u,z)) \ y) * w) * a(y,z,z \ 1)) != v5 | K(x,z \ w) = v5. [para(21538(a,2),14303(a,1))]. given #19596 (H,wt=33): 21499 K(x,(y * ((z * L(u,w,u)) \ z)) * a(z,L(u,w,u),L(u,w,u) \ 1)) = K(x,y * (u \ 1)). [para(21498(a,2),13081(a,1,2))]. given #19597 (H,wt=30): 21542 K(x,(y * ((z * L(u,w,u)) \ z)) * a(z,L(u,w,u),u \ 1)) = K(x,y * (u \ 1)). [para(13642(a,1),21499(a,1,2,2))]. given #19598 (H,wt=27): 21543 K(x,(y * ((z * L(u,w,u)) \ z)) * a(z,u,u \ 1)) = K(x,y * (u \ 1)). [para(13649(a,1),21542(a,1,2,2))]. given #19599 (H,wt=28): 21546 K(x,(y * ((z * L(u,w,u)) \ z)) * a(z,u,u \ 1)) != v5 | K(x,y / u) = v5. [para(21543(a,2),14282(a,1))]. given #19600 (H,wt=47): 21468 (x \ 1) * T(((x \ 1) \ a(y,(x \ 1) \ 1,x \ 1)) * (x \ 1),z) = x \ T(x * (a(y,(x \ 1) \ 1,x \ 1) / (1 / (x \ 1))),z). [para(21466(a,1),877(a,1,2,1))]. given #19601 (H,wt=43): 21547 x \ T(x * (a(y,(x \ 1) \ 1,x \ 1) / (1 / (x \ 1))),z) = (x \ 1) * T(((x \ 1) \ a(y,x,x \ 1)) * (x \ 1),z). [para(10970(a,1),21468(a,1,2,1,1,2)),flip(a)]. given #19602 (H,wt=39): 21548 x \ T(x * (a(y,(x \ 1) \ 1,x \ 1) / (1 / (x \ 1))),z) = (x \ 1) * T(x * (a(y,x,x \ 1) / x),z). [para(21445(a,1),21547(a,2,2,1))]. given #19603 (H,wt=37): 21549 x \ T(x * (a(y,(x \ 1) \ 1,x \ 1) / (1 / (x \ 1))),z) = (x \ 1) * (x * (a(y,x,x \ 1) / x)). [para(13898(a,1),21548(a,2,2))]. given #19604 (H,wt=33): 21550 x \ T(x * (a(y,(x \ 1) \ 1,x \ 1) / (1 / (x \ 1))),z) = (1 / x) * a(y,x,x \ 1). [hyper(236,a,20135,a(flip),b,21549,a)]. given #19605 (H,wt=29): 21552 x \ T(x * (a(y,x,x \ 1) / (1 / (x \ 1))),z) = (1 / x) * a(y,x,x \ 1). [para(10970(a,1),21550(a,1,2,1,2,1))]. given #19606 (H,wt=25): 21553 x \ T(x * (a(y,x,x \ 1) / x),z) = (1 / x) * a(y,x,x \ 1). [para(62(a,1),21552(a,1,2,1,2,2))]. given #19607 (H,wt=23): 21554 x \ (x * (a(y,x,x \ 1) / x)) = (1 / x) * a(y,x,x \ 1). [para(118(a,1),21553(a,1,2))]. given #19608 (H,wt=19): 21555 (1 / x) * a(y,x,x \ 1) = a(y,x,x \ 1) / x. [hyper(306,a,21554,a),flip(a)]. given #19609 (H,wt=23): 21557 (1 / x) * (x * a(y,x,x \ 1)) = (a(y,x,x \ 1) / x) * x. [para(21555(a,1),20799(a,1,1)),flip(a)]. given #19610 (H,wt=19): 21558 (1 / x) \ a(y,x,x \ 1) = x * a(y,x,x \ 1). [hyper(72,a,16,a(flip),b,21557,a)]. given #19611 (H,wt=19): 21559 a(x,y,y \ 1) / (y \ 1) = y * a(x,y,y \ 1). [hyper(236,a,20795,a,b,21558,a(flip)),flip(a)]. given #19612 (H,wt=29): 21561 K(x,y / ((L(z \ 1,z,u) \ 1) \ w)) = K(x,y / ((z * a(u,z,z \ 1)) \ w)). [para(21559(a,1),21402(a,1,2,2,1)),flip(a)]. given #19613 (H,wt=29): 21562 K(x,y / (a(z,u,u \ 1) \ (u \ w))) = K(x,y / ((L(u \ 1,u,z) \ 1) \ w)). [para(21025(a,1),21561(a,2,2,2)),flip(a)]. given #19614 (H,wt=31): 21560 K(x,(((y \ 1) \ a(z,y,y \ 1)) \ u) \ w) = K(x,((y * a(z,y,y \ 1)) \ u) \ w). [para(21558(a,1),5751(a,1,2,1,1)),flip(a)]. given #19615 (H,wt=66): 20356 L(x,y,K(z,a(u,w,v5) * v6)) \ L(T(x,K(z,a(u,w,v5) * v6) * y),(a(u,w,v5) * y) * v6,K(z,a(u,w,v5) * v6)) = T(K(x,K(z,a(u,w,v5) * v6) * y),L(x,y,K(z,a(u,w,v5) * v6))). [hyper(394,a,20320,a,b,14205,a),flip(a)]. given #19616 (H,wt=54): 21563 L(x,y,K(z,a(u,w,v5) * v6)) \ L(T(x,K(z,a(u,w,v5) * v6) * y),(a(u,w,v5) * y) * v6,K(z,a(u,w,v5) * v6)) = K(x,K(z,a(u,w,v5) * v6) * y). [hyper(236,a,3273,a(flip),b,20356,a)]. given #19617 (H,wt=67): 18854 L((K(x \ y,y \ (x * z)) \ 1) \ 1,K(x \ y,y \ (x * z)) \ 1,(x \ y) * (z / (x \ y))) = a(z,K(x \ y,y \ (x * z)),K(x \ y,y \ (x * z)) \ 1) \ K(x \ y,y \ (x * z)). [para(10749(a,1),18834(a,1,3))]. given #19618 (H,wt=67): 19810 ((x * K(x * (y \ z),z \ y)) \ u) \ (K(z \ y,(y \ z) * x) * (x \ T(u,w / (x * K(x * (y \ z),z \ y))))) = T(K(u,(x \ w) * K(x,z \ y)),(x * K(x * (y \ z),z \ y)) \ u). [para(19809(a,1),17428(a,2,1))]. given #19619 (H,wt=65): 21566 ((x * K(x * (y \ z),z \ y)) \ u) \ (K(z \ y,(y \ z) * x) * (x \ T(u,w / (x * K(x * (y \ z),z \ y))))) = T(K(u,T(x,z \ y) \ w),(x * K(x * (y \ z),z \ y)) \ u). [para(16278(a,1),19810(a,2,1))]. given #19620 (H,wt=65): 21567 ((x * K(x * (y \ z),z \ y)) \ u) \ (K(z \ y,(y \ z) * x) * (x \ T(u,w / (x * K(x * (y \ z),z \ y))))) = T(K(u,T(x,z \ y) \ w),K(z \ y,(y \ z) * x) * (x \ u)). [para(13779(a,1),21566(a,2,2))]. given #19621 (H,wt=65): 21568 ((x * K(x * (y \ z),z \ y)) \ u) \ (K(z \ y,(y \ z) * x) * (x \ T(u,w / (x * K(x * (y \ z),z \ y))))) = T(K(u,T(x,z \ y) \ w),K(y * z,(y \ z) * x) * (x \ u)). [hyper(236,a,20935,a(flip),b,21567,a)]. given #19622 (H,wt=61): 21569 ((x * K(x * (y \ z),z \ y)) \ u) \ (K(z \ y,(y \ z) * x) * (x \ T(u,w / (x * K(x * (y \ z),z \ y))))) = T(K(u,T(x,z \ y) \ w),K(y * z,x) * (x \ u)). [hyper(236,a,21076,a(flip),b,21568,a)]. given #19623 (H,wt=59): 21570 ((x * K(x * (y \ z),z \ y)) \ u) \ (K(z \ y,(y \ z) * x) * (x \ T(u,w / (x * K(x * (y \ z),z \ y))))) = T(K(u,T(x,z \ y) \ w),T(x,y * z) \ u). [para(5204(a,1),21569(a,2,2))]. given #19624 (H,wt=59): 21571 ((x * K(x * (y \ z),z \ y)) \ u) \ (K(z \ y,(y \ z) * x) * (x \ T(u,w / (x * K(x * (y \ z),z \ y))))) = K(u,T(T(x,z \ y) \ w,T(x,y * z) \ u)). [hyper(236,a,7256,a,b,21570,a)]. given #19625 (H,wt=57): 21572 ((x * K(x * (y \ z),z \ y)) \ u) \ (K(z \ y,(y \ z) * x) * (x \ T(u,w / (x * K(x * (y \ z),z \ y))))) = K(u,T(T(x,z \ y) \ w,T(x,y * z))). [hyper(236,a,9346,a(flip),b,21571,a)]. given #19626 (H,wt=53): 21573 ((x * K(x * (y \ z),z \ y)) \ u) \ (K(z \ y,(y \ z) * x) * (x \ T(u,w / (x * K(x * (y \ z),z \ y))))) = K(u,T(T(x,z \ y) \ w,x)). [hyper(236,a,16164,a(flip),b,21572,a)]. given #19627 (H,wt=51): 21575 ((x * K(x * (y \ z),z \ y)) \ u) \ (K(z \ y,(y \ z) * x) * (x \ T(u,w / (x * K(x * (y \ z),z \ y))))) = K(u,w / T(x,z \ y)). [hyper(236,a,16206,a(flip),b,21573,a)]. given #19628 (H,wt=51): 21576 (K(x \ y,(y \ x) * z) * (z \ u)) \ (K(x \ y,(y \ x) * z) * (z \ T(u,w / (z * K(z * (y \ x),x \ y))))) = K(u,w / T(z,x \ y)). [para(13779(a,1),21575(a,1,1))]. given #19629 (H,wt=51): 21577 (K(x \ y,(y \ x) * z) * (z \ u)) \ (K(x \ y,(y \ x) * z) * (z \ T(u,K(z * (y \ x),x \ y) * (w / z)))) = K(u,w / T(z,x \ y)). [para(19276(a,1),21576(a,1,2,2,2))]. given #19630 (H,wt=51): 21578 (K(x \ y,(y \ x) * z) * (z \ u)) \ (K(x \ y,(y \ x) * z) * (z \ T(u,K(z * (x * y),x \ y) * (w / z)))) = K(u,w / T(z,x \ y)). [para(20932(a,1),21577(a,1,2,2,2))]. given #19631 (H,wt=47): 21579 (K(x \ y,(y \ x) * z) * (z \ u)) \ (K(x \ y,(y \ x) * z) * (z \ T(u,K(y * x,z) * (w / z)))) = K(u,w / T(z,x \ y)). [para(21075(a,1),21578(a,1,2,2,2))]. given #19632 (H,wt=45): 21580 (K(x \ y,(y \ x) * z) * (z \ u)) \ (K(x \ y,(y \ x) * z) * (z \ T(u,w / T(z,y * x)))) = K(u,w / T(z,x \ y)). [para(16145(a,1),21579(a,1,2,2,2))]. given #19633 (H,wt=32): 21581 K(x,L(y / T(z,u * w),z \ x,K(w \ u,(u \ w) * z))) = K(x,y / T(z,w \ u)). [hyper(14665,a,21580,a)]. given #19634 (H,wt=19): 21582 K(x,y / T(z,u \ w)) = K(x,y / T(z,w * u)). [hyper(17774,a,21581,a),flip(a)]. given #19635 (H,wt=17): 21586 K(x,y / T(z,u \ 1)) = K(x,y / T(z,u)). [para(11(a,1),21582(a,2,2,2,2))]. given #19636 (H,wt=19): 21587 K(x,T(y,z * u) / T(u,z)) = K(x,T(u \ y,z)). [hyper(236,a,20869,a(flip),b,21586,a(flip))]. given #19637 (H,wt=21): 21588 K(x,y / ((y / (z / (u * y))) / u)) = K(x,T(y \ z,u)). [hyper(236,a,20819,a,b,21587,a(flip)),flip(a)]. given #19638 (H,wt=22): 21583 K(x,y / T(z,u \ w)) != v5 | K(x,y / T(z,w * u)) = v5. [para(21581(a,1),17774(a,1))]. given #19639 (H,wt=22): 21589 K(x,y / T(z,u / w)) != v5 | K(x,y / T(z,u * w)) = v5. [para(16641(a,2),21583(a,1))]. given #19640 (H,wt=21): 21591 K(x,y / T(z \ 1,u * w)) = K(x,y * T(z,u \ w)). [hyper(21589,a,20579,a)]. given #19641 (H,wt=19): 21593 K(x,y * T(z,u \ w)) = K(x,y * T(z,u * w)). [hyper(236,a,16535,a(flip),b,21591,a(flip))]. given #19642 (H,wt=19): 21595 K(x,y * T(z,u \ w)) = K(x,y * T(z,w * u)). [hyper(236,a,16645,a,b,21593,a)]. given #19643 (H,wt=19): 21598 K(x,(y / z) * T(u,y * z)) = K(x,u * (y / z)). [hyper(236,a,16803,a(flip),b,21593,a(flip))]. given #19644 (H,wt=20): 21602 K(x,y * T(z,z \ u)) != w | K(x,y * T(z,u)) = w. [para(21593(a,2),13174(a,1))]. given #19645 (H,wt=20): 21606 K(x,y * ((z \ u) \ u)) != w | K(x,y * T(z,u)) = w. [para(120(a,1),21602(a,1,2,2))]. given #19646 (H,wt=21): 21600 K(x,(y / z) * T(z,u * w)) = K(x,y * K(z,u \ w)). [para(6200(a,1),21593(a,1,2)),flip(a)]. given #19647 (H,wt=19): 21607 K(x,y * K(z,u \ w)) = K(x,y * K(z,u * w)). [para(6200(a,1),21600(a,1,2)),flip(a)]. given #19648 (H,wt=22): 21604 K(x,y * T(z,u \ w)) != v5 | K(x,y * T(z,w * u)) = v5. [para(21593(a,2),16730(a,1))]. given #19649 (H,wt=22): 21605 K(x,y * T(z,u \ w)) != v5 | K(x,y * T(z,u * w)) = v5. [para(21595(a,2),16730(a,1))]. given #19650 (H,wt=23): 21585 K(x,y / T(z \ 1,u * w)) = K(x,y * T(z,T(w,v5) \ u)). [hyper(236,a,19846,a(flip),b,21582,a(flip))]. given #19651 (H,wt=23): 21590 K(x,y / T(z,u \ (w * v5))) = K(x,y / T(z,w * (u / v5))). [hyper(21589,a,20634,a),flip(a)]. given #19652 (H,wt=23): 21594 K(x,y * T(z,u \ (w \ v5))) = K(x,y * T(z,(w * u) * v5)). [hyper(18206,a,21593,a)]. given #19653 (H,wt=23): 21597 K(x,y * T(z,u \ (w * v5))) = K(x,y * T(z,(w \ u) * v5)). [hyper(236,a,18134,a(flip),b,21593,a(flip)),flip(a)]. given #19654 (H,wt=23): 21610 K(x,y * K(z,u \ (w \ v5))) = K(x,y * K(z,(w * u) * v5)). [hyper(236,a,18137,a(flip),b,21607,a(flip)),flip(a)]. given #19655 (H,wt=23): 21611 K(x,y / T(z,u \ (w * v5))) = K(x,y / T(z,w * (v5 \ u))). [hyper(236,a,20993,a(flip),b,21590,a)]. given #19656 (H,wt=23): 21613 K(x,y * T(z,(u \ w) * v5)) = K(x,y * T(z,w * (u * v5))). [hyper(21605,a,21597,a),flip(a)]. given #19657 (H,wt=23): 21614 K(x,y * K(z,(u * w) * v5)) = K(x,y * K(z,w * (u \ v5))). [hyper(236,a,21607,a(flip),b,21610,a(flip))]. given #19658 (H,wt=25): 21603 K(x,K(y,z)) * K(x,z * T(y,u * w)) = K(x,T(y,u \ w) * z). [para(21593(a,1),16046(a,1,2))]. given #19659 (H,wt=19): 21617 K(x,T(y,z \ u) * w) = K(x,T(y,z * u) * w). [hyper(16436,a,21603,a),flip(a)]. given #19660 (H,wt=19): 21618 K(x,T(y,z / u) * w) = K(x,T(y,u * z) * w). [hyper(16745,a,21617,a)]. given #19661 (H,wt=23): 21619 x / (K(y,T(z,u * w) * v5) * x) = K(T(z,u \ w) * v5,y). [para(21617(a,1),5266(a,1,2,1))]. given #19662 (H,wt=19): 21621 K(T(x,y \ z) * u,w) = K(T(x,y * z) * u,w). [hyper(17977,a,21619,a),flip(a)]. given #19663 (H,wt=23): 21622 K(T((x \ y) * z,y * x) * u,w) = K((z * (x \ y)) * u,w). [hyper(236,a,15892,a(flip),b,21621,a(flip))]. given #19664 (H,wt=25): 21615 K(x,(y / z) * T(z,u * (w * v5))) = K(x,y * K(z,(w \ u) * v5)). [para(6200(a,1),21613(a,1,2)),flip(a)]. given #19665 (H,wt=23): 21624 K(x,y * K(z,(u \ w) * v5)) = K(x,y * K(z,w * (u * v5))). [para(6200(a,1),21615(a,1,2)),flip(a)]. given #19666 (H,wt=23): 21625 K(x,K(y * (z * u),w) * v5) = K(x,v5 * K(w,(z \ y) * u)). [hyper(236,a,16275,a,b,21624,a),flip(a)]. given #19667 (H,wt=23): 21626 K(x,K((y * z) * (y * u),w) * v5) = K(x,v5 * K(w,z * u)). [para(13(a,1),21625(a,2,2,2,2,1))]. given #19668 (H,wt=26): 21592 K(x,y / T(z,u \ (w * v5))) != v6 | K(x,y / T(z,w * (u / v5))) = v6. [para(20634(a,1),21589(a,1))]. given #19669 (H,wt=26): 21612 K(x,y * T(z,(u * w) * v5)) != v6 | K(x,y * T(z,w * (u \ v5))) = v6. [para(21594(a,1),21605(a,1))]. given #19670 (H,wt=26): 21627 K(x,y / T(z,u * (w \ v5))) != v6 | K(x,y / T(z,u * (v5 / w))) = v6. [para(21611(a,1),21592(a,1))]. given #19671 (H,wt=27): 21608 K(x,(y / T(z,u \ w)) * K(v5,K(v6,v7))) = K(x,(y / z) * K(z,u * w)). [hyper(18487,a,21607,a)]. given #19672 (H,wt=29): 21596 K(x,y * T(a(z,u,w) \ v5,v5 * K(v6,v7))) = K(x,y / (a(z,u,w) * (v5 \ 1))). [hyper(236,a,21175,a(flip),b,21593,a(flip))]. given #19673 (H,wt=25): 21629 K(x,y / (a(z,u,w) * (v5 \ 1))) = K(x,y * T(a(z,u,w) \ v5,v5)). [hyper(19843,a,21596,a),flip(a)]. given #19674 (H,wt=23): 21630 K(x,y / (a(z,u,w) * (v5 \ 1))) = K(x,y * (v5 / a(z,u,w))). [hyper(236,a,15762,a(flip),b,21629,a)]. given #19675 (H,wt=23): 21631 K(x,y / (a(z,u,w) * (v5 \ 1))) = K(x,y * (a(z,u,w) \ v5)). [hyper(236,a,18073,a(flip),b,21630,a)]. given #19676 (H,wt=23): 21633 K(x,a(y,z,u) \ (w / (v5 \ 1))) = K(x,w * (a(y,z,u) \ v5)). [hyper(236,a,20129,a(flip),b,21631,a(flip)),flip(a)]. given #19677 (H,wt=26): 21632 K(x,y / (a(z,u,w) * (v5 \ 1))) != v6 | K(x,y * (a(z,u,w) \ v5)) = v6. [para(21630(a,2),18154(a,1))]. given #19678 (H,wt=29): 21599 K(x,y * T(1 / z,(u * (w \ 1)) * v5)) = K(x,y / T(z,(u * (1 / w)) \ v5)). [hyper(236,a,16542,a(flip),b,21593,a(flip))]. given #19679 (H,wt=29): 21601 K(x,(y / z) * T(1 / (1 / z),u * w)) = K(x,y * ((z \ 1) * T(z,u \ w))). [para(6563(a,1),21593(a,1,2)),flip(a)]. given #19680 (H,wt=29): 21609 K(x,y * (z * K(u * K(w,v5),T(v6 \ v7,v8)))) = K(x,(y * z) * K(u,v6 * v7)). [hyper(236,a,18317,a,b,21607,a(flip)),flip(a)]. given #19681 (H,wt=29): 21623 K((x * (y \ z)) * (((y \ z) * x) \ u),w) = K(K((y \ z) * x,z * y) * u,w). [para(4857(a,1),21622(a,1,1)),flip(a)]. given #19682 (H,wt=23): 21639 K(K((x \ y) * z,y * x) * u,w) = K(K(z,x \ y) * u,w). [para(11069(a,1),21623(a,1,1)),flip(a)]. given #19683 (H,wt=29): 21634 K(x,((y / z) * a(u,w,v5)) * (a(u,w,v5) \ z)) = K(x,L(y,z \ 1,a(u,w,v5))). [hyper(20132,a,21633,a),flip(a)]. given #19684 (H,wt=29): 21635 K(x,a(y,z,u) \ (w / T(v5 \ 1,w))) = K(x,T(w,v5 \ 1) * (a(y,z,u) \ v5)). [para(4115(a,1),21633(a,1,2,2))]. given #19685 (H,wt=27): 21640 K(x,T(y,z \ 1) * (a(u,w,v5) \ z)) = K(x,a(u,w,v5) \ ((z \ 1) \ y)). [hyper(236,a,19424,a(flip),b,21635,a(flip))]. given #19686 (H,wt=25): 21641 K(x,a(y,z,u) \ ((w \ 1) \ v5)) = K(x,T(v5,w) * (a(y,z,u) \ w)). [hyper(236,a,18515,a(flip),b,21640,a(flip))]. given #19687 (H,wt=29): 21636 K(x,y * T(1 / z,(u \ 1) * (w \ v5))) = K(x,y / T(z,(w * (1 / u)) \ v5)). [hyper(21612,a,21599,a)]. given #19688 (H,wt=27): 21642 K(x,y / T(z,(u * (1 / w)) \ v5)) = K(x,y * T(1 / z,w \ (u \ v5))). [para(14238(a,1),21636(a,1,2,2)),flip(a)]. given #19689 (H,wt=27): 21643 K(x,y / T(z,(u * (1 / w)) \ v5)) = K(x,y * T(1 / z,w * (u \ v5))). [hyper(236,a,21593,a(flip),b,21642,a)]. given #19690 (H,wt=25): 21644 K(x,y / T(z,(u * (1 / w)) \ v5)) = K(x,y / T(z,w * (u \ v5))). [hyper(236,a,16539,a(flip),b,21643,a)]. given #19691 (H,wt=25): 21645 K(x,y / T(z,(u * (w \ 1)) \ v5)) = K(x,y / T(z,w * (u \ v5))). [para(4611(a,1),21644(a,1,2,2))]. given #19692 (H,wt=25): 21646 K(x,y / T(z,u * (w * (v5 \ 1)))) = K(x,y / T(z,v5 * (w \ u))). [hyper(21583,a,21645,a)]. given #19693 (H,wt=29): 21637 K(x,(y / z) * T(1 / (1 / z),u * w)) = K(x,y * T(K(u \ w,z) * 1,z)). [hyper(236,a,18556,a,b,21601,a)]. given #19694 (H,wt=27): 21647 K(x,(y / z) * T(1 / (1 / z),u * w)) = K(x,y * T(K(u \ w,z),z)). [para(12(a,1),21637(a,2,2,2,1))]. given #19695 (H,wt=25): 21648 K(x,(y / z) * T(1 / (1 / z),u * w)) = K(x,y * K(u \ w,z)). [para(3136(a,1),21647(a,2,2,2))]. given #19696 (H,wt=23): 21649 K(x,y * ((z \ 1) * T(z,u * w))) = K(x,y * K(u \ w,z)). [para(6563(a,1),21648(a,1,2))]. given #19697 (H,wt=23): 21650 K(x,y * T(K(z * u,w) * 1,w)) = K(x,y * K(z \ u,w)). [hyper(236,a,18556,a,b,21649,a(flip)),flip(a)]. given #19698 (H,wt=21): 21651 K(x,y * T(K(z * u,w),w)) = K(x,y * K(z \ u,w)). [para(12(a,1),21650(a,1,2,2,1))]. given #19699 (H,wt=19): 21652 K(x,y * K(z \ u,w)) = K(x,y * K(z * u,w)). [para(3136(a,1),21651(a,1,2,2)),flip(a)]. given #19700 (H,wt=26): 21654 K(x,y * K(z * (u * w),w * u)) != v5 | K(x,K(w * u,z) * y) = v5. [para(21652(a,1),16282(a,1))]. given #19701 (H,wt=27): 21653 K(x,(y / T(z,T(u \ w,v5))) \ v6) = K(x,((y / z) \ v6) * K(u * w,z)). [hyper(236,a,19493,a,b,21652,a(flip)),flip(a)]. given #19702 (H,wt=29): 21638 K(x,y * (z * K(u * K(w,v5),T(v6 \ v7,v8)))) = K(x,y * (z * K(u,v6 * v7))). [hyper(236,a,18066,a(flip),b,21609,a)]. given #19703 (H,wt=23): 21655 K(x,y * (z * K(u,w \ v5))) = K(x,y * (z * K(u,w * v5))). [para(16160(a,1),21638(a,1,2,2,2))]. given #19704 (H,wt=21): 21657 K(x,y * (z * K(u,w \ 1))) = K(x,y * (z * K(u,w))). [para(12(a,1),21655(a,2,2,2,2,2))]. given #19705 (H,wt=25): 21658 K(x,y * ((z \ u) * K(u,w * v5))) = K(x,y * (z \ T(u,w \ v5))). [para(14432(a,1),21655(a,1,2,2)),flip(a)]. given #19706 (H,wt=23): 21660 K(x,y * (z \ T(u,w \ v5))) = K(x,y * (z \ T(u,w * v5))). [para(14432(a,1),21658(a,1,2,2)),flip(a)]. given #19707 (H,wt=23): 21661 K(x,y * (z \ T(u * w,u * 1))) = K(x,y * (z \ (w * u))). [hyper(236,a,18326,a(flip),b,21660,a(flip))]. given #19708 (H,wt=21): 21662 K(x,y * (z \ T(u * w,u))) = K(x,y * (z \ (w * u))). [para(12(a,1),21661(a,1,2,2,2,2))]. given #19709 (H,wt=21): 21663 K(x,y * (z \ ((u \ w) * u))) = K(x,y * (z \ T(w,u))). [para(14(a,1),21662(a,1,2,2,2,1)),flip(a)]. given #19710 (H,wt=27): 21656 K(x,y * (((z \ u) / w) * K(w \ 1,z * u))) = K(x,y * (w \ (z \ u))). [hyper(236,a,16497,a(flip),b,21655,a(flip))]. given #19711 (H,wt=25): 21667 K(x,y * (((z \ u) / w) * K(w,z * u))) = K(x,y * (w \ (z \ u))). [hyper(16836,a,21656,a)]. given #19712 (H,wt=23): 21668 K(x,y * ((z \ u) / T(w,z * u))) = K(x,y * (w \ (z \ u))). [hyper(18351,a,21667,a)]. given #19713 (H,wt=29): 21665 K(x,T(y,z \ ((u \ w) * u)) * (z \ T(w,u))) = K(x,(z \ ((u \ w) * u)) * y). [hyper(236,a,13117,a(flip),b,21663,a(flip))]. given #19714 (H,wt=27): 21669 K(x,T(y,z \ T(u,w)) * (z \ T(u,w))) = K(x,(z \ ((w \ u) * w)) * y). [para(16494(a,1),21665(a,1,2,1))]. given #19715 (H,wt=21): 21670 K(x,(y \ ((z \ u) * z)) * w) = K(x,(y \ T(u,z)) * w). [hyper(236,a,13117,a(flip),b,21669,a(flip))]. given #19716 (H,wt=27): 21671 K(x,(y \ T(z / (z / u),u)) * w) = K(x,(y \ (K(u \ z,u) * u)) * w). [para(4795(a,1),21670(a,1,2,1,2,1)),flip(a)]. given #19717 (H,wt=27): 21672 K(x,(y \ T(z / (z / u),u)) * w) = K(x,(y \ (u * K(u \ z,u))) * w). [para(3138(a,1),21671(a,2,2,1,2))]. given #19718 (H,wt=27): 21673 K(x,(y \ T(z / (z / u),u)) * w) = K(x,((y \ u) * K(u \ z,u)) * w). [para(14225(a,1),21672(a,2,2,1))]. given #19719 (H,wt=27): 21674 K(x,(y \ T(z / (z / u),u)) * w) = K(x,(y \ u) * (w * K(u \ z,u))). [hyper(236,a,19285,a(flip),b,21673,a)]. given #19720 (H,wt=29): 21666 K(x,y * ((a(z,u,w) * v5) \ T(v6,v5))) = K(x,y * T(a(z,u,w) \ (v5 \ v6),v5)). [para(18769(a,1),21663(a,1,2,2)),flip(a)]. given #19721 (H,wt=31): 21620 K(x,(1 / y) / (((1 / y) / (z / (u * (1 / y)))) / u)) = K(x,T(z,y * u) * T(y,u)). [hyper(236,a,20823,a,b,21618,a(flip)),flip(a)]. given #19722 (H,wt=21): 21675 K(x,T(y,z * u) * T(z,u)) = K(x,T((1 / z) \ y,u)). [hyper(236,a,21588,a(flip),b,21620,a(flip))]. given #19723 (H,wt=19): 21676 K(x,T(y,z * u) * T(z,u)) = K(x,T(z * y,u)). [hyper(236,a,14990,a(flip),b,21675,a)]. given #19724 (H,wt=23): 21677 K(x,T(y,T(z,u)) * T(u,z / u)) = K(x,T(u * y,z / u)). [para(13109(a,1),21676(a,1,2,1))]. given #19725 (H,wt=21): 21679 K(x,T(y,z) * T(u,z / u)) = K(x,T(u * y,z / u)). [hyper(16674,a,21677,a)]. given #19726 (H,wt=26): 21680 K(x,T(a(y,z,u) * w,v5 / a(y,z,u))) = K(x,T(w,v5) * a(y,z,u)). [hyper(18109,a,21679,a),flip(a)]. given #19727 (H,wt=26): 21681 K(x,T(a(y,z,u) * w,a(y,z,u) * v5)) = K(x,T(w,v5) * a(y,z,u)). [hyper(16385,a,21680,a)]. given #19728 (H,wt=21): 21682 K(x,T(a(y,z,u) * w,v5)) = K(x,T(w,v5) * a(y,z,u)). [hyper(236,a,20065,a(flip),b,21681,a(flip)),flip(a)]. given #19729 (H,wt=21): 21683 K(x,T(a(y,z,u) * w,v5)) = K(x,a(y,z,u) * T(w,v5)). [hyper(236,a,17712,a,b,21682,a)]. given #19730 (H,wt=31): 21628 K(x,(y / T(z,(u * w) \ v5)) * K(v6,K(v7,v8))) = K(x,(y / z) * K(z,w * (u \ v5))). [hyper(236,a,21614,a(flip),b,21608,a)]. given #19731 (H,wt=33): 21616 K(x,(y / z) * T(1 / (1 / z),u * (w * v5))) = K(x,y * ((z \ 1) * T(z,(w \ u) * v5))). [para(6563(a,1),21613(a,1,2)),flip(a)]. given #19732 (H,wt=33): 21659 K(x,(T(((y \ z) \ z) * u,y) \ 1) \ w) = K(x,(T(y,y \ z) * u) * (w * K(u * y,u))). [hyper(236,a,21318,a,b,21657,a(flip)),flip(a)]. given #19733 (H,wt=33): 21686 K(x,(y / T(z,(u * (w \ 1)) \ v5)) * K(v6,K(v7,v8))) = K(x,(y / z) * K(z,w \ (u \ v5))). [para(14126(a,1),21628(a,2,2,2))]. given #19734 (H,wt=33): 21687 K(x,(y / z) * T(1 / (1 / z),u * (w * v5))) = K(x,y * T(K((w \ u) * v5,z) * 1,z)). [hyper(236,a,18556,a,b,21616,a)]. given #19735 (H,wt=31): 21690 K(x,(y / z) * T(1 / (1 / z),u * (w * v5))) = K(x,y * T(K((w \ u) * v5,z),z)). [para(12(a,1),21687(a,2,2,2,1))]. given #19736 (H,wt=29): 21691 K(x,(y / z) * T(1 / (1 / z),u * (w * v5))) = K(x,y * K((w \ u) * v5,z)). [para(3136(a,1),21690(a,2,2,2))]. given #19737 (H,wt=27): 21692 K(x,y * ((z \ 1) * T(z,u * (w * v5)))) = K(x,y * K((w \ u) * v5,z)). [para(6563(a,1),21691(a,1,2))]. given #19738 (H,wt=27): 21693 K(x,y * T(K(z * (u * w),v5) * 1,v5)) = K(x,y * K((u \ z) * w,v5)). [hyper(236,a,18556,a,b,21692,a(flip)),flip(a)]. given #19739 (H,wt=25): 21694 K(x,y * T(K(z * (u * w),v5),v5)) = K(x,y * K((u \ z) * w,v5)). [para(12(a,1),21693(a,1,2,2,1))]. given #19740 (H,wt=23): 21695 K(x,y * K((z \ u) * w,v5)) = K(x,y * K(u * (z * w),v5)). [para(3136(a,1),21694(a,1,2,2)),flip(a)]. given #19741 (H,wt=23): 21696 K(x,y * K(z * (u * w),w \ u)) = K(x,K(w \ u,z) * y). [hyper(236,a,20192,a(flip),b,21695,a(flip))]. given #19742 (H,wt=23): 21697 K(x,y * K(z * (u * w),w * u)) = K(x,K(w \ u,z) * y). [hyper(236,a,21607,a(flip),b,21696,a(flip)),flip(a)]. given #19743 (H,wt=19): 21698 K(x,K(y \ z,u) * w) = K(x,K(y * z,u) * w). [hyper(21654,a,21697,a),flip(a)]. given #19744 (H,wt=19): 21700 K(x,K(y \ z,u) * w) = K(x,K(z * y,u) * w). [hyper(236,a,16702,a,b,21698,a)]. given #19745 (H,wt=19): 21701 K(x,K(y \ z,u) * w) = K(x,K(u,z * y) * w). [hyper(236,a,16721,a(flip),b,21698,a)]. given #19746 (H,wt=19): 21706 K(x,K(y,z \ u) * w) = K(x,K(y,u * z) * w). [hyper(15676,a,21701,a)]. given #19747 (H,wt=21): 21707 K(x,y * K(z,z * (u * w))) = K(x,K(z,w \ u) * y). [hyper(236,a,16276,a,b,21706,a),flip(a)]. given #19748 (H,wt=22): 21699 K(x,K(y \ z,u) * w) != v5 | K(x,K(y * z,u) * w) = v5. [para(21697(a,1),21654(a,1))]. given #19749 (H,wt=22): 21709 K(x,K(y,z \ u) * w) != v5 | K(x,K(y,u * z) * w) = v5. [para(21707(a,1),16364(a,1))]. given #19750 (H,wt=23): 21704 x / (K(y,K(z * u,w) * v5) * x) = K(K(z \ u,w) * v5,y). [para(21698(a,1),5266(a,1,2,1))]. given #19751 (H,wt=19): 21710 K(K(x \ y,z) * u,w) = K(K(x * y,z) * u,w). [hyper(17977,a,21704,a),flip(a)]. given #19752 (H,wt=22): 21711 K(K(x \ y,z) * u,w) != v5 | K(K(x * y,z) * u,w) = v5. [para(21704(a,1),5272(a,1))]. given #19753 (H,wt=23): 21705 K(x,K((y * z) \ u,w) * v5) = K(x,K((y \ u) * z,w) * v5). [hyper(18820,a,21700,a)]. given #19754 (H,wt=23): 21712 K(K(x \ (y * z),u) * w,v5) = K(K((y \ x) * z,u) * w,v5). [hyper(236,a,18131,a(flip),b,21710,a(flip)),flip(a)]. given #19755 (H,wt=23): 21714 K(x,K((y \ z) * u,w) * v5) = K(x,K((y * u) * z,w) * v5). [hyper(21699,a,21705,a),flip(a)]. given #19756 (H,wt=23): 21715 K(K((x \ y) * z,u) * w,v5) = K(K(y * (x * z),u) * w,v5). [hyper(21711,a,21712,a),flip(a)]. given #19757 (H,wt=23): 21716 K(K(x * (y * z),x * y) * u,w) = K(K(z,y \ x) * u,w). [hyper(236,a,21639,a(flip),b,21715,a(flip))]. given #19758 (H,wt=19): 21717 K(K(x,y \ z) * u,w) = K(K(x,z * y) * u,w). [hyper(18225,a,21716,a),flip(a)]. given #19759 (H,wt=21): 21720 K(K(x,y \ z) * u,T(w,u)) = K(u * K(x,z * y),w). [hyper(236,a,13395,a(flip),b,21717,a)]. given #19760 (H,wt=19): 21724 K(x * K(y,z \ u),w) = K(x * K(y,u * z),w). [hyper(13410,a,21720,a)]. given #19761 (H,wt=22): 21718 K(K(x,y \ z) * u,w) != v5 | K(K(x,z * y) * u,w) = v5. [para(21716(a,1),18225(a,1))]. given #19762 (H,wt=23): 21722 K(K(x,y \ (z \ u)) * w,v5) = K(K(x,u * (z * y)) * w,v5). [hyper(236,a,18130,a(flip),b,21717,a(flip)),flip(a)]. given #19763 (H,wt=23): 21726 K(K(x,(y \ z) * u) * w,v5) = K(K(x,z * (y * u)) * w,v5). [hyper(21718,a,21722,a)]. given #19764 (H,wt=24): 21702 K(x,K(y * z,u) * L(w \ 1,w,v5)) = K(x,w \ K(u,y \ z)). [hyper(236,a,19354,a(flip),b,21698,a(flip))]. given #19765 (H,wt=19): 21728 K(x,y \ K(z,u \ w)) = K(x,y \ K(z,u * w)). [hyper(236,a,19354,a(flip),b,21702,a(flip))]. given #19766 (H,wt=25): 21703 K(x,K(y * z,u) * (w / (v5 \ 1))) = K(x,w * (v5 * K(y \ z,u))). [hyper(236,a,19258,a(flip),b,21698,a(flip))]. given #19767 (H,wt=23): 21729 K(x,y * (z * K(u \ w,v5))) = K(x,y * (z * K(u * w,v5))). [hyper(236,a,19258,a(flip),b,21703,a(flip))]. given #19768 (H,wt=25): 21719 K(K(x,y * z) * (u / (w \ 1)),v5) = K(u * (w * K(z \ y,x)),v5). [hyper(19377,a,21717,a),flip(a)]. given #19769 (H,wt=23): 21733 K(x * (y * K(z \ u,w)),v5) = K(x * (y * K(u * z,w)),v5). [hyper(19377,a,21719,a),flip(a)]. given #19770 (H,wt=25): 21721 K(K(x,y * z) * (u * (w \ 1)),v5) = K(u * (w \ K(x,z \ y)),v5). [hyper(236,a,18173,a(flip),b,21717,a(flip))]. given #19771 (H,wt=23): 21735 K(x * (y \ K(z,u \ w)),v5) = K(x * (y \ K(z,w * u)),v5). [hyper(236,a,18173,a(flip),b,21721,a(flip))]. given #19772 (H,wt=25): 21723 (x * y) / (K(K(z,u * w) * v5,x) * y) = T(x,K(z,w \ u) * v5). [para(21717(a,1),5354(a,1,2,1))]. given #19773 (H,wt=19): 21737 T(x,K(y,z \ u) * w) = T(x,K(y,u * z) * w). [hyper(5356,a,21723,a),flip(a)]. given #19774 (H,wt=25): 21725 (x * y) / (K(z * K(u,w * v5),x) * y) = T(x,z * K(u,v5 \ w)). [para(21724(a,1),5354(a,1,2,1))]. given #19775 (H,wt=19): 21739 T(x,y * K(z,u \ w)) = T(x,y * K(z,w * u)). [hyper(5356,a,21725,a),flip(a)]. given #19776 (H,wt=25): 21740 T(x,(y * ((z \ u) * w)) * K(w,u * z)) = T(x,y * (w * (z \ u))). [para(10676(a,1),21739(a,1,2)),flip(a)]. given #19777 (H,wt=25): 21741 T(x,y * (((z \ u) * w) * K(w,u * z))) = T(x,y * (w * (z \ u))). [hyper(18105,a,21740,a)]. given #19778 (H,wt=23): 21742 T(x,y * ((z \ u) * T(w,u * z))) = T(x,y * (w * (z \ u))). [para(6201(a,1),21741(a,1,2,2))]. given #19779 (H,wt=26): 21738 T(x,K(y,(z \ u) * w) * v5) != v6 | T(x,K(y,z \ (u / w)) * v5) = v6. [para(21737(a,1),18341(a,1))]. given #19780 (H,wt=27): 21730 K(x,(y \ T(z / (z / u),u)) * w) = K(x,(y \ u) * (w * K(u * z,u))). [hyper(236,a,21674,a,b,21729,a(flip)),flip(a)]. given #19781 (H,wt=25): 21744 K(x,(y \ T(z / (z / u),u)) * w) = K(x,(y \ u) * (w * K(u,z))). [hyper(236,a,18217,a(flip),b,21730,a)]. given #19782 (H,wt=23): 21745 K(x,(y \ T(z / (z / u),u)) * w) = K(x,(y \ T(u,z)) * w). [hyper(236,a,19289,a(flip),b,21744,a)]. given #19783 (H,wt=21): 21746 K(x,(y \ (z / (z / u))) * w) = K(x,(y \ T(u,z)) * w). [para(271(a,1),21745(a,1,2,1,2))]. given #19784 (H,wt=27): 21731 K(x,(y \ T(z,z * (u \ w))) * v5) = K(x,(y \ z) * (v5 * K(u * w,z))). [hyper(236,a,19446,a,b,21729,a(flip)),flip(a)]. given #19785 (H,wt=25): 21747 K(x,(y \ T(z,z * (u \ w))) * v5) = K(x,(y \ T(z,u * w)) * v5). [hyper(236,a,19337,a(flip),b,21731,a)]. given #19786 (H,wt=23): 21748 K(x,(y \ T(z,u \ w)) * v5) = K(x,(y \ T(z,u * w)) * v5). [hyper(236,a,19445,a(flip),b,21747,a(flip)),flip(a)]. given #19787 (H,wt=25): 21749 K(x,(T(y,z) \ T(z,u * w)) * v5) = K(x,(T(z,u \ w) / y) * v5). [hyper(236,a,20472,a(flip),b,21748,a(flip))]. given #19788 (H,wt=23): 21750 K(x,(T(y,z \ u) / w) * v5) = K(x,(T(y,z * u) / w) * v5). [hyper(236,a,20472,a(flip),b,21749,a(flip))]. given #19789 (H,wt=29): 21727 (x * y) / (K(K(z,u * (w * v5)) * v6,x) * y) = T(x,K(z,(w \ u) * v5) * v6). [para(21726(a,1),5354(a,1,2,1))]. given #19790 (H,wt=23): 21751 T(x,K(y,(z \ u) * w) * v5) = T(x,K(y,u * (z * w)) * v5). [hyper(5356,a,21727,a),flip(a)]. given #19791 (H,wt=23): 21752 T(x,K(y,z \ (u / w)) * v5) = T(x,K(y,u * (z * w)) * v5). [hyper(21738,a,21751,a)]. given #19792 (H,wt=24): 21753 T(x,K(y,z * (a(u,w,v5) * v6)) * v7) = T(x,K(z * v6,y) * v7). [hyper(20972,a,21752,a),flip(a)]. given #19793 (H,wt=24): 21754 T(x,K(K(y,z) * u,w) * v5) = T(x,K(u * a(v6,v7,v8),w) * v5). [hyper(17252,a,21753,a),flip(a)]. given #19794 (H,wt=20): 21755 T(x,K(y * a(z,u,w),v5) * v6) = T(x,K(y,v5) * v6). [hyper(17244,a,21754,a),flip(a)]. given #19795 (H,wt=20): 21756 T(x,K(a(y,z,u) * w,v5) * v6) = T(x,K(w,v5) * v6). [hyper(16748,a,21755,a)]. given #19796 (H,wt=20): 21758 T(x,K(y,a(z,u,w) * v5) * v6) = T(x,K(v5,y) * v6). [hyper(15799,a,21756,a)]. given #19797 (H,wt=29): 21734 (x * y) / (K(z * (u * K(w * v5,v6)),x) * y) = T(x,z * (u * K(v5 \ w,v6))). [para(21733(a,1),5354(a,1,2,1))]. given #19798 (H,wt=23): 21761 T(x,y * (z * K(u \ w,v5))) = T(x,y * (z * K(w * u,v5))). [hyper(5356,a,21734,a),flip(a)]. given #19799 (H,wt=29): 21743 T(T(x,y),K(y,z * (u * (w \ v5)))) = T(x,T(y,z * ((w \ v5) * T(u,v5 * w)))). [para(21742(a,2),7135(a,2,2))]. given #19800 (H,wt=29): 21762 K(x,y) \ T(T(x,y),y * (z * K(u * w,v5))) = T(x,(z * K(w \ u,v5)) * y). [hyper(72,a,21761,a(flip),b,13005,a)]. given #19801 (H,wt=29): 21763 T(T(x,y),K(y,z * (u * (w * v5)))) = T(x,T(y,z * ((v5 \ w) * T(u,w * v5)))). [hyper(20925,a,21743,a)]. given #19802 (H,wt=27): 21765 T(x,T(y,z * ((u \ w) * T(v5,w * u)))) = T(x,T(y,z * (v5 * (w * u)))). [hyper(7185,a,21763,a),flip(a)]. given #19803 (H,wt=23): 21766 T(x,T(y,z * (u * (w \ v5)))) = T(x,T(y,z * (u * (v5 * w)))). [para(21742(a,1),21765(a,1,2))]. given #19804 (H,wt=29): 21764 K(x,y) * T(T(y,x),x * (z * K(u * w,v5))) = T(y,(z * K(w \ u,v5)) * x). [hyper(5286,a,21762,a)]. given #19805 (H,wt=29): 21768 T(K(x,y) * T(y,x * (z * K(u * w,v5))),x) = T(y,(z * K(w \ u,v5)) * x). [hyper(8775,a,21764,a)]. given #19806 (H,wt=29): 21769 T(T(x * K(y,x),(z * K(u * w,v5)) * y),y) = T(x,(z * K(w \ u,v5)) * y). [para(13111(a,2),21768(a,1,1))]. given #19807 (H,wt=29): 21770 T(T(x * K(y,x),z * (K(u * w,v5) * y)),y) = T(x,(z * K(w \ u,v5)) * y). [para(18015(a,1),21769(a,1,1))]. given #19808 (H,wt=23): 21771 T(x,(y * K(z \ u,w)) * v5) = T(x,y * (K(u * z,w) * v5)). [hyper(5036,a,21770,a),flip(a)]. given #19809 (H,wt=23): 21773 T(x,y * (K(z \ u,w) * v5)) = T(x,y * (K(u * z,w) * v5)). [hyper(236,a,18015,a(flip),b,21771,a(flip)),flip(a)]. given #19810 (H,wt=30): 21708 K(x,K(y,z * ((u * w) \ u)) * v5) != v6 | K(x,v5 * K((u / (w * u)) \ z,y)) = v6. [para(21706(a,1),19757(a,1))]. given #19811 (H,wt=31): 21759 T(x,K(y,z) * (u * (a(w,v5,v6) \ T(y,z)))) = T(x,u * T(a(w,v5,v6) \ T(y,z),z)). [hyper(20941,a,21758,a),flip(a)]. given #19812 (H,wt=29): 21775 T(x,y * (a(z,u,w) \ T(T(v5,v6),v6))) = T(x,y * T(a(z,u,w) \ T(v5,v6),v6)). [hyper(236,a,18227,a(flip),b,21759,a(flip)),flip(a)]. given #19813 (H,wt=25): 21776 T(x,y * T(a(z,u,w) \ T(v5,v6),v6)) = T(x,y * (a(z,u,w) \ v5)). [hyper(236,a,18380,a(flip),b,21775,a(flip))]. given #19814 (H,wt=25): 21778 T(x,y * ((a(z,u,w) * v5) \ v6)) = T(x,y * (a(z,u,w) \ (v5 \ v6))). [hyper(236,a,20958,a(flip),b,21776,a(flip)),flip(a)]. given #19815 (H,wt=30): 21779 T(x,(y \ a(z,u,z)) * (a(w,v5,v6) \ (v7 \ v8))) = T(x,y \ ((a(w,v5,v6) * v7) \ v8)). [hyper(20144,a,21778,a),flip(a)]. given #19816 (H,wt=28): 21781 T(x,y \ ((a(z,u,w) * v5) \ v6)) != v7 | T(x,y \ (a(z,u,w) \ (v5 \ v6))) = v7. [para(21779(a,1),20144(a,1))]. given #19817 (H,wt=33): 21688 K(x,(T(((y \ z) \ z) * u,y) \ 1) \ w) = K(x,(T(y,y \ z) * u) * (w * K(y * u,u))). [para(5559(a,2),21659(a,2,2,2,2))]. given #19818 (H,wt=31): 21782 K(x,(T(((y \ z) \ z) * u,y) \ 1) \ w) = K(x,(T(y,y \ z) * u) * (w * K(y,u))). [hyper(236,a,13183,a(flip),b,21688,a)]. given #19819 (H,wt=29): 21783 K(x,(T(((y \ z) \ z) * u,y) \ 1) \ w) = K(x,(T(T(y,u),y \ z) * u) * w). [hyper(236,a,18539,a(flip),b,21782,a)]. given #19820 (H,wt=27): 21784 K(x,(T(((y \ z) \ z) * u,y) \ 1) \ w) = K(x,(u * T(y,y \ z)) * w). [hyper(236,a,18501,a(flip),b,21783,a)]. given #19821 (H,wt=21): 21785 K(x,(y * T(z,z \ u)) * w) = K(x,(y * T(z,u)) * w). [hyper(236,a,20587,a(flip),b,21784,a(flip))]. given #19822 (H,wt=31): 21786 K(x,(K(y,T(z,z \ u)) * w) * T(T(z,z \ u) * y,w)) = K(x,(y * T(z,u)) * w). [para(11042(a,2),21785(a,1,2))]. given #19823 (H,wt=29): 21787 K(x,(K(y,T(z,u)) * w) * T(T(z,z \ u) * y,w)) = K(x,(y * T(z,u)) * w). [para(7238(a,1),21786(a,1,2,1,1))]. given #19824 (H,wt=29): 21788 K(x,y * (T(T(z,z \ u) * w,y) * K(w,T(z,u)))) = K(x,(w * T(z,u)) * y). [hyper(18383,a,21787,a)]. given #19825 (H,wt=27): 21789 K(x,y * (T(T(z,z \ u) * w,y) * K(w,z))) = K(x,(w * T(z,u)) * y). [hyper(16765,a,21788,a)]. given #19826 (H,wt=27): 21790 K(x,y * T((T(z,z \ u) * w) * K(w,z),y)) = K(x,(w * T(z,u)) * y). [hyper(236,a,18626,a,b,21789,a(flip)),flip(a)]. given #19827 (H,wt=25): 21792 K(x,y * T(T(z,z \ u) * T(w,z),y)) = K(x,(w * T(z,u)) * y). [para(6201(a,1),21790(a,1,2,2,1))]. given #19828 (H,wt=25): 21793 K(x,y * T(K(z,z \ u) * (w * z),y)) = K(x,(w * T(z,u)) * y). [para(5180(a,2),21792(a,1,2,2,1))]. given #19829 (H,wt=23): 21794 K(x,(K(y,y \ z) * (u * y)) * w) = K(x,(u * T(y,z)) * w). [para(119(a,1),21793(a,1,2))]. given #19830 (H,wt=23): 21795 K(x,(y * z) * (u * K(z,z \ w))) = K(x,(y * T(z,w)) * u). [hyper(18383,a,21794,a)]. given #19831 (H,wt=21): 21796 K(x,(y * z) * (u * K(w,z))) = K(x,(y * T(z,w)) * u). [hyper(236,a,18189,a(flip),b,21795,a(flip)),flip(a)]. given #19832 (H,wt=21): 21797 K(x,K(y,z) * ((u * z) * w)) = K(x,(u * T(z,y)) * w). [hyper(18144,a,21796,a)]. given #19833 (H,wt=28): 21798 K(x,K(y,(z * T(u,w)) * v5) * v6) != v7 | K(x,K((z * u) * v5,y) * v6) = v7. [para(21797(a,1),17305(a,1,2,1))]. given #19834 (H,wt=33): 21689 K(x,(y / T(z,(u * (w \ 1)) \ v5)) * K(v6,K(v7,v8))) = K(x,(y / z) * K(z,w * (u \ v5))). [hyper(236,a,21607,a(flip),b,21686,a)]. given #19835 (H,wt=33): 21713 L(x,y,(z * K(K(u * w,u) * (v5 \ z),v5)) * K(w,u)) = L(x,y,T(z * K(u \ w,u),v5)). [para(21710(a,1),14427(a,1,3,1,2))]. given #19836 (H,wt=31): 21800 L(x,y,(z * K(K(u,w) * (v5 \ z),v5)) * K(w,u)) = L(x,y,T(z * K(u \ w,u),v5)). [para(16301(a,1),21713(a,1,3,1,2))]. given #19837 (H,wt=25): 21801 L(x,y,T(z * K(u \ w,u),v5)) = L(x,y,(v5 \ (z * K(w,u))) * v5). [para(16302(a,1),21800(a,1,3)),flip(a)]. given #19838 (H,wt=23): 21802 L(x,y,T(z * K(u \ w,u),v5)) = L(x,y,T(z * K(w,u),v5)). [hyper(236,a,13510,a(flip),b,21801,a)]. given #19839 (H,wt=33): 21732 K(x,((T(y,z \ y) / z) * u) * ((u \ z) * K(z * y,y))) = K(x,(z / u) * (u * (z \ y))). [hyper(236,a,21007,a(flip),b,21729,a(flip))]. given #19840 (H,wt=33): 21804 K(x,((T(y,z \ y) / z) * u) * ((u \ z) * K(y * z,y))) = K(x,(z / u) * (u * (z \ y))). [para(5559(a,1),21732(a,1,2,2,2))]. given #19841 (H,wt=31): 21805 K(x,((T(y,z \ y) / z) * u) * ((u \ z) * K(y,z))) = K(x,(z / u) * (u * (z \ y))). [hyper(236,a,18217,a(flip),b,21804,a(flip)),flip(a)]. given #19842 (H,wt=29): 21806 K(x,((T(y,z \ y) / z) * u) * (u \ T(z,y))) = K(x,(z / u) * (u * (z \ y))). [hyper(236,a,18191,a(flip),b,21805,a(flip)),flip(a)]. given #19843 (H,wt=25): 21807 K(x,((y \ z) * u) * (u \ T(y,z))) = K(x,(y / u) * (u * (y \ z))). [hyper(236,a,18522,a(flip),b,21806,a(flip)),flip(a)]. given #19844 (H,wt=34): 21757 K(x,K(T(T(a(y,z,u),w) * v5,v6),v7) * v8) = (x * T(v9,K(x,v8))) \ (T(x,K(v5,v7) * v8) * v9). [para(21755(a,1),21279(a,2,2,1))]. given #19845 (H,wt=24): 21808 K(x,K(T(T(a(y,z,u),w) * v5,v6),v7) * v8) = K(x,K(v7,v5) * v8). [hyper(236,a,17006,a(flip),b,21757,a)]. given #19846 (H,wt=24): 21810 K(x,K(T(a(y,z,u),w) * v5,T(v6,v7)) * v8) = K(x,K(v6,v5) * v8). [para(7260(a,1),21808(a,1,2,1))]. given #19847 (H,wt=22): 21811 K(x,K(y * a(z,u,w),T(v5,v6)) * v7) = K(x,K(v5,y) * v7). [para(13417(a,1),21810(a,1,2,1))]. given #19848 (H,wt=20): 21812 K(x,y * K(z * a(u,w,v5),v6)) = K(x,K(v6,z) * y). [hyper(16703,a,21811,a)]. given #19849 (H,wt=24): 21813 K(x * K(y * a(z,u,w),v5),v6) = v7 / (K(v6,K(v5,y) * x) * v7). [para(21812(a,1),5266(a,1,2,1)),flip(a)]. given #19850 (H,wt=20): 21814 K(x * K(y * a(z,u,w),v5),v6) = K(K(v5,y) * x,v6). [hyper(236,a,17975,a(flip),b,21813,a)]. given #19851 (H,wt=23): 21815 K(K(x,y) * z,u) != w | K(K(y * a(v5,v6,v7),x) * z,u) = w. [para(21814(a,1),16184(a,1))]. given #19852 (H,wt=32): 21816 K(K(x * a(y,z,u),w) * (((v5 * w) \ v6) * v7),v8) = K(((v5 * (x / (x / w))) \ v6) * v7,v8). [hyper(21815,a,19748,a)]. given #19853 (H,wt=30): 21817 K(((x * T(y,z * a(u,w,v5))) \ v6) * v7,v8) = K(((x * (z / (z / y))) \ v6) * v7,v8). [hyper(236,a,19746,a(flip),b,21816,a(flip)),flip(a)]. given #19854 (H,wt=28): 21818 K(((x * T(y,z * a(u,w,v5))) \ v6) * v7,v8) = K(((x * T(y,z)) \ v6) * v7,v8). [hyper(236,a,19749,a(flip),b,21817,a)]. given #19855 (H,wt=31): 21819 K((((a(x,y,z) * u) * T(w,u)) \ v5) * v6,v7) = K(((w * (a(x,y,z) * u)) \ v5) * v6,v7). [para(17689(a,1),21818(a,1,1,1,1)),flip(a)]. given #19856 (H,wt=29): 21820 K((((a(x,y,z) * u) * w) \ v5) * v6,v7) = K(((u * (a(x,y,z) * w)) \ v5) * v6,v7). [para(18767(a,1),21819(a,1,1,1,1))]. given #19857 (H,wt=33): 21821 K((((a(x,y,z) * u) * w) \ ((u * a(x,y,z)) * w)) * v5,v6) = K(a(u,a(x,y,z),w) * v5,v6). [para(24(a,2),21820(a,2,1,1))]. given #19858 (H,wt=24): 21822 K(K(x,T(a(y,z,u),w)) * v5,v6) = K(a(x,a(y,z,u),w) * v5,v6). [para(10998(a,1),21821(a,1,1,1))]. given #19859 (H,wt=22): 21823 K(a(x,a(y,z,u),w) * v5,v6) = K(K(x,a(y,z,u)) * v5,v6). [hyper(16683,a,21822,a),flip(a)]. given #19860 (H,wt=15): 21825 K(a(x,a(y,z,u),w) * v5,v6) = K(v5,v6). [hyper(236,a,18081,a(flip),b,21823,a)]. given #19861 (H,wt=21): 21827 T(x,a(y,a(z,u,w),v5) * v6) = (x * v7) / (K(v6,x) * v7). [para(21825(a,1),5354(a,1,2,1)),flip(a)]. given #19862 (H,wt=15): 21828 T(x,a(y,a(z,u,w),v5) * v6) = T(x,v6). [hyper(236,a,5354,a(flip),b,21827,a)]. given #19863 (H,wt=15): 21829 T(x,y * a(z,a(u,w,v5),v6)) = T(x,y). [hyper(17686,a,21828,a)]. given #19864 (H,wt=17): 21831 K(x,y * a(z,a(u,w,v5),v6)) = x \ T(x,y). [hyper(72,a,21829,a(flip),b,4887,a(flip)),flip(a)]. given #19865 (H,wt=15): 21832 K(x,y * a(z,a(u,w,v5),v6)) = K(x,y). [hyper(236,a,4829,a,b,21831,a)]. given #19866 (H,wt=21): 21833 K(x,(y * a(z,u,w)) * v5) = K(x,y * (a(z,u,w) * v5)). [para(91(a,1),21832(a,1,2))]. given #19867 (H,wt=25): 21830 (a(x,a(y,z,u),w) * v5) * T(v6,v5) = v6 * (a(x,a(y,z,u),w) * v5). [para(21828(a,1),119(a,1,2))]. given #19868 (H,wt=23): 21835 (a(x,a(y,z,u),w) * v5) * v6 = v5 * (a(x,a(y,z,u),w) * v6). [hyper(18771,a,21830,a)]. given #19869 (H,wt=23): 21836 T(a(x,a(y,z,u),w) * v5,v6) = a(x,a(y,z,u),w) * T(v5,v6). [hyper(18777,a,21835,a)]. given #19870 (H,wt=23): 21837 a(x,a(y,z,u),w) \ T(a(x,a(y,z,u),w) * v5,v6) = T(v5,v6). [hyper(72,a,21836,a,b,xx)]. given #19871 (H,wt=25): 21838 K(x,(y * (a(z,a(u,w,v5),v6) \ 1)) \ v7) = (y * T(y \ v7,x)) \ v7. [para(21837(a,1),8813(a,1,1,2)),flip(a)]. given #19872 (H,wt=21): 21839 K(x,(y * (a(z,a(u,w,v5),v6) \ 1)) \ v7) = K(x,y \ v7). [hyper(236,a,7588,a(flip),b,21838,a)]. given #19873 (H,wt=29): 21834 K(x,(y / z) * (a(u,w,v5) * (a(u,w,v5) \ z))) = K(x,L(y,z \ 1,a(u,w,v5))). [hyper(236,a,21634,a(flip),b,21833,a(flip))]. given #19874 (H,wt=19): 21840 K(x,L(y,z \ 1,a(u,w,v5))) = K(x,(y / z) * z). [para(14(a,1),21834(a,1,2,2)),flip(a)]. given #19875 (H,wt=15): 21841 K(x,L(y,z \ 1,a(u,w,v5))) = K(x,y). [para(16(a,1),21840(a,2,2))]. given #19876 (H,wt=13): 21844 K(x,L(y,z,a(u,w,v5))) = K(x,y). [hyper(236,a,18309,a(flip),b,21841,a(flip)),flip(a)]. given #19877 (H,wt=11): 21850 a(x,y,a(z,u,K(w,v5))) = 1. [hyper(73,a,21844,a(flip),b,14345,a),flip(a)]. given #19878 (H,wt=11): 21851 a(x,y,K(z,a(u,w,v5))) = 1. [hyper(73,a,21844,a(flip),b,14021,a),flip(a)]. given #19879 (H,wt=11): 21852 K(x,a(a(y,z,u),w,v5)) = 1. [hyper(73,a,21844,a(flip),b,13869,a),flip(a)]. given #19880 (H,wt=11): 21856 a(a(x,y,K(z,u)),w,v5) = 1. [hyper(236,a,14396,a,b,21850,a(flip)),flip(a)]. given #19881 (H,wt=11): 21868 L(x,y,a(z,u,K(w,v5))) = x. [hyper(33,a,21856,a)]. given #19882 (H,wt=11): 21869 R(x,y,a(z,u,K(w,v5))) = x. [hyper(236,a,15612,a,b,21868,a(flip)),flip(a)]. given #19883 (H,wt=13): 21862 T(x,a(y,z,a(u,w,v5))) = 1 * x. [para(21851(a,1),13865(a,1,1)),flip(a)]. given #19884 (H,wt=13): 21876 T(x,L(y,z,a(u,w,v5))) = T(x,y). [hyper(70,a,21862,a(flip),b,14361,a(flip))]. given #19885 (H,wt=14): 21877 T(x,a(y,z,a(u,w,v5))) != v6 | v6 = x. [para(21862(a,2),75(a,1))]. given #19886 (H,wt=16): 21855 L(a(x,y,K(z,u)),w,v5) = a(x,y,K(z,u)). [hyper(33,a,21850,a)]. given #19887 (H,wt=16): 21863 T(a(x,y,z),a(u,w,v5)) = 1 * a(x,y,z). [para(21851(a,1),13876(a,1,1)),flip(a)]. given #19888 (H,wt=14): 21884 T(a(x,y,z),a(u,w,v5)) = a(x,y,z). [hyper(236,a,11,a(flip),b,21863,a)]. given #19889 (H,wt=14): 21885 L(a(x,y,z),u,K(w,v5)) = a(x,y,z). [hyper(70,a,21863,a(flip),b,14670,a)]. given #19890 (H,wt=16): 21865 x * K(y,a(a(z,u,w),v5,v6)) != v7 | v7 = x. [para(21852(a,2),83(a,1,2))]. given #19891 (H,wt=16): 21880 T(x,L(y,z,a(u,w,v5))) != v6 | T(x,y) = v6. [para(14361(a,1),21877(a,1)),flip(b)]. given #19892 (H,wt=16): 21882 a(x,y,K(z,L(u,w,v5))) = a(x,y,K(z,u)). [hyper(236,a,12125,a,b,21855,a(flip)),flip(a)]. given #19893 (H,wt=16): 21898 K(x,L(y,z,a(u,w,v5))) != v6 | K(x,y) = v6. [para(13868(a,1),21865(a,1)),flip(b)]. given #19894 (H,wt=16): 21902 a(L(x,y,z),u,K(w,v5)) = a(x,u,K(w,v5)). [hyper(236,a,14392,a,b,21882,a(flip)),flip(a)]. given #19895 (H,wt=16): 21911 a(L(x,y,z),u,K(w,v5)) = a(v5,u,K(x,w)). [hyper(236,a,13990,a(flip),b,21902,a)]. given #19896 (H,wt=17): 21886 T(a(x,y,z),a(u,w,v5)) != v6 | a(x,y,z) = v6. [para(21863(a,2),75(a,1)),flip(b)]. given #19897 (H,wt=17): 21894 L(a(x,y,z),u,T(w,v5)) = L(a(x,y,z),u,w). [para(21885(a,1),14766(a,1,1)),flip(a)]. given #19898 (H,wt=17): 21897 x / (y \ x) = y * K(z,a(a(u,w,v5),v6,v7)). [hyper(21865,a,134,a),flip(a)]. given #19899 (H,wt=18): 21906 T(x,a(L(y,z,u),w,v5)) = a(x,w,K(v5,y)) * x. [para(21882(a,1),14034(a,1,1)),flip(a)]. given #19900 (H,wt=19): 21887 a(x,y,z) * a(u,w,v5) = a(u,w,v5) * a(x,y,z). [para(21884(a,1),119(a,1,2))]. given #19901 (H,wt=19): 21896 x / a(a(y,z,u),w,v5) = a(a(y,z,u),w,v5) \ x. [hyper(21865,a,5768,a),flip(a)]. given #19902 (H,wt=19): 21915 a(L(x,y,z),u,K(w,v5)) != v6 | a(x,u,K(w,v5)) = v6. [para(21911(a,2),14073(a,1))]. given #19903 (H,wt=19): 21918 T(x,a(L(y,z,u),w,v5)) != v6 | T(x,a(y,w,v5)) = v6. [para(21906(a,2),14077(a,1))]. given #19904 (H,wt=19): 21920 a(a(x,y,z),u,w) \ (v5 * a(a(x,y,z),u,w)) = v5. [hyper(304,a,21896,a),flip(a)]. given #19905 (H,wt=19): 21922 a(x,y,K(z,L(u,w,v5))) != v6 | a(x,y,K(z,u)) = v6. [para(14392(a,1),21915(a,1))]. given #19906 (H,wt=19): 21924 x \ (a(a(y,z,u),w,v5) * x) = a(a(y,z,u),w,v5). [para(21920(a,1),57(a,1,2,2))]. given #19907 (H,wt=19): 21925 L(a(x,y,K(z,u)),w,v5) != v6 | a(x,y,K(z,u)) = v6. [para(12125(a,1),21922(a,1))]. given #19908 (H,wt=20): 21901 a(x,y,K(z,L(u \ y,w,v5))) = a(x,u,K(z,u \ y)). [hyper(236,a,11563,a(flip),b,21882,a)]. given #19909 (H,wt=20): 21913 K(x,L(y,z,L(u,w,v5))) = a(u,z,K(y,x)) * K(x,y). [para(21902(a,1),11513(a,1,1)),flip(a)]. given #19910 (H,wt=16): 21930 K(x,L(y,z,L(u,w,v5))) = K(x,L(y,z,u)). [hyper(236,a,11513,a(flip),b,21913,a)]. given #19911 (H,wt=21): 21845 K(x,(a(y,z,u) * w) \ v5) = K(x,w \ (a(y,z,u) \ v5)). [hyper(11497,a,21844,a)]. given #19912 (H,wt=21): 21849 K(x,(a(y,z,u) \ w) \ v5) = K(x,w \ (a(y,z,u) * v5)). [hyper(236,a,14570,a(flip),b,21844,a(flip))]. given #19913 (H,wt=21): 21870 (a(x,y,K(z,u)) * w) * v5 = a(x,y,K(z,u)) * (w * v5). [para(21868(a,1),103(a,1,2))]. given #19914 (H,wt=21): 21875 x \ (y * a(z,u,K(w,v5))) = (x \ y) * a(z,u,K(w,v5)). [para(21869(a,1),463(a,1,1))]. given #19915 (H,wt=21): 21879 T(x,(a(y,z,u) \ w) \ v5) = T(x,w \ (a(y,z,u) * v5)). [para(450(a,1),21876(a,1,2)),flip(a)]. given #19916 (H,wt=21): 21895 a(x,y,z) \ (u * K(w,v5)) = (a(x,y,z) \ u) * K(w,v5). [para(21885(a,1),15605(a,1,1))]. given #19917 (H,wt=21): 21899 a(L(x,y,z) * u,w,K(v5,x)) = a(L(x,y,z),w,K(u,v5)). [hyper(14289,a,21882,a),flip(a)]. given #19918 (H,wt=18): 21948 a(L(x,y,z) * u,w,K(v5,x)) = a(x,w,K(u,v5)). [hyper(236,a,21902,a(flip),b,21899,a)]. given #19919 (H,wt=21): 21908 L(x,y,z) * a(x,u,K(w,v5)) = L(L(x,u,K(w,v5)),y,z). [para(21882(a,1),14925(a,1,2))]. given #19920 (H,wt=20): 21951 T(K(x,y) * L(y,z,u),x) = L(L(y,z,K(u,x)),z,u). [hyper(236,a,18725,a,b,21908,a(flip)),flip(a)]. given #19921 (H,wt=17): 21953 T(K(x,y) * L(y,z,u),x) = L(y,z,T(u,x)). [hyper(236,a,14766,a(flip),b,21951,a)]. given #19922 (H,wt=21): 21934 K(x,L(y,z,(u * w) \ v5)) = K(x,L(y,z,u \ (v5 / w))). [hyper(236,a,21152,a(flip),b,21930,a(flip)),flip(a)]. given #19923 (H,wt=21): 21937 K(x,a(y,z,u) \ (w \ v5)) = K(x,w \ (a(y,z,u) \ v5)). [hyper(20142,a,21845,a)]. given #19924 (H,wt=21): 21942 a(x,y,K(z,u)) * (w * v5) = w * (a(x,y,K(z,u)) * v5). [hyper(236,a,18774,a(flip),b,21870,a(flip))]. given #19925 (H,wt=19): 21960 a(x,y,K(z,u)) * (w \ 1) = w \ a(x,y,K(z,u)). [hyper(366,a,21942,a),flip(a)]. given #19926 (H,wt=21): 21945 x \ (y * a(z,u,K(w,v5))) = a(z,u,K(w,v5)) * (x \ y). [hyper(236,a,17667,a,b,21875,a)]. given #19927 (H,wt=21): 21956 K(x,L(y,z,(u * w) \ v5)) = K(x,L(y,z,u \ (w \ v5))). [hyper(236,a,19937,a(flip),b,21934,a)]. given #19928 (H,wt=21): 21958 K(x,y \ (a(z,u,w) \ (y * v5))) = K(x,a(z,u,w) \ v5). [para(13(a,1),21937(a,1,2,2)),flip(a)]. given #19929 (H,wt=21): 21959 x \ (a(y,z,K(u,w)) * v5) = a(y,z,K(u,w)) * (x \ v5). [hyper(551,a,21942,a)]. given #19930 (H,wt=21): 21961 x * (a(y,z,K(u,w)) * (x \ v5)) = a(y,z,K(u,w)) * v5. [hyper(307,a,21942,a),flip(a)]. given #19931 (H,wt=21): 21962 a(x,y,K(z,u)) * (w * K(z,x)) = w * K(z,L(x,y,u)). [para(14021(a,1),21942(a,2,2))]. given #19932 (H,wt=21): 21963 K(x,y * (a(z,u,K(w,v5)) * v6)) != v7 | K(x,y * v6) = v7. [para(21942(a,1),18099(a,1,2))]. given #19933 (H,wt=22): 21888 a(x,y,z) * a(u,w,v5) != v6 * a(x,y,z) | a(u,w,v5) = v6. [para(21884(a,1),171(a,1,2)),flip(a),flip(b)]. given #19934 (H,wt=22): 21904 K(x,((y \ z) * u) \ (y \ (z * u))) = a(u,y \ z,K(y,x)). [hyper(236,a,18904,a(flip),b,21882,a(flip)),flip(a)]. given #19935 (H,wt=20): 21970 K(x,((y \ z) * u) \ (y \ (z * u))) = a(y,z,K(x,u)). [hyper(236,a,14413,a(flip),b,21904,a)]. given #19936 (H,wt=22): 21921 a(a(x,y,z),u,w) \ (v5 * a(a(x,y,z),u,w)) != v6 | v6 = v5. [para(21896(a,1),296(a,1))]. given #19937 (H,wt=22): 21926 a(x,y,K(z,L(u,w,v5))) != v6 | a(L(x,v7,v8),y,K(z,u)) = v6. [para(21902(a,1),21922(a,1))]. given #19938 (H,wt=22): 21927 L(a(x,y,K(z,u)),w,v5) != v6 | a(x,y,K(z,L(u,v7,v8))) = v6. [para(21882(a,1),21925(a,1,1))]. given #19939 (H,wt=23): 21905 a(x,y,K(z,L(u \ y,w,v5))) != v6 | a(x,u,K(z,u \ y)) = v6. [para(21882(a,2),11612(a,1))]. given #19940 (H,wt=23): 21967 K(x,y * (z \ L(u,w,K(v5,v6)))) != v7 | K(x,y * (z \ u)) = v7. [para(17795(a,1),21963(a,1,2,2))]. given #19941 (H,wt=24): 21883 (x * y) * a(z,u,K(w,v5)) != v6 | x * (y * a(z,u,K(w,v5))) = v6. [para(21855(a,1),219(a,1,2))]. given #19942 (H,wt=24): 21950 (L(x,y,z) \ x) * (u / (L(x,y,z) \ x)) = u * a(x,y,K(u,z)). [para(21948(a,1),14403(a,2,2))]. given #19943 (H,wt=22): 21976 (L(x,y,z) \ x) * (u / (L(x,y,z) \ x)) = L(u,y,K(z,x)). [hyper(236,a,14675,a(flip),b,21950,a)]. given #19944 (H,wt=24): 21965 x \ (a(y,z,K(u,w)) * v5) != v6 | a(y,z,K(u,w)) * (x \ v5) = v6. [para(21961(a,1),283(a,1,2)),flip(b)]. given #19945 (H,wt=25): 21916 L(x,y,z) * (u * a(w,v5,K(x,v6))) = L(L(x,y,z),v5,K(v6,w)) * u. [para(21911(a,1),18793(a,1,2,2))]. given #19946 (H,wt=25): 21928 a(T(x,y * z),z,K(u,z \ w)) = a(u,z,K((y * z) \ (y * w),x)). [hyper(236,a,18438,a(flip),b,21901,a(flip))]. given #19947 (H,wt=21): 21980 a(x,y,K((z * y) \ (z * u),w)) = a(w,y,K(x,y \ u)). [hyper(17998,a,21928,a),flip(a)]. given #19948 (H,wt=25): 21940 K(x,(a(y,z,z \ 1) \ u) \ w) = K(x,u \ (w * a(y,z,z \ 1))). [para(13894(a,1),21849(a,2,2,2))]. given #19949 (H,wt=25): 21946 T(T(x,K(y,z)),y \ (a(u,w,v5) * z)) = T(x,z / (a(u,w,v5) \ y)). [hyper(236,a,20058,a(flip),b,21879,a(flip))]. given #19950 (H,wt=21): 21983 T(x,(a(y,z,u) * w) / v5) = T(x,w / (a(y,z,u) \ v5)). [hyper(236,a,20052,a(flip),b,21946,a(flip)),flip(a)]. given #19951 (H,wt=23): 21984 T(x,T(y \ (a(z,u,w) * v5),v5)) = T(x,v5 / (a(z,u,w) \ y)). [hyper(236,a,20071,a,b,21983,a(flip)),flip(a)]. given #19952 (H,wt=23): 21985 T(x,(a(y,z,u) \ (w / v5)) \ 1) = T(x,v5 / (a(y,z,u) \ w)). [hyper(236,a,18879,a(flip),b,21984,a(flip)),flip(a)]. given #19953 (H,wt=24): 21986 T(x,y / (a(z,u,w) \ v5)) != v6 | T(x,(v5 / y) \ a(z,u,w)) = v6. [para(21985(a,1),6362(a,1))]. given #19954 (H,wt=25): 21954 T(K(x,y) * L(y,z,T(x,u) / (x / u)),x) = L(y,z,x / (x / u)). [para(3894(a,1),21953(a,2,3))]. given #19955 (H,wt=25): 21957 K(x,y \ (a(z \ 1,z,u) \ w)) = K(x,a(u,z,z \ 1) * (y \ w)). [hyper(236,a,18864,a(flip),b,21937,a(flip))]. given #19956 (H,wt=25): 21964 (a(x,y,z) \ 1) \ a(u,w,K(v5,v6)) = a(u,w,K(v5,v6)) * a(x,y,z). [para(12739(a,1),21960(a,1,2)),flip(a)]. given #19957 (H,wt=24): 21989 (a(x,y,K(z,u)) * a(u,y,z)) * x = x * ((a(u,y,z) \ 1) \ 1). [para(21964(a,1),14078(a,1,1))]. given #19958 (H,wt=21): 21990 T(a(x,y,z),u \ 1) * u = u * ((a(x,y,z) \ 1) \ 1). [para(14209(a,1),21989(a,1,1))]. given #19959 (H,wt=17): 21991 T(a(x,y,z),u \ 1) * u = u * a(x,y,z). [para(12739(a,1),21990(a,2,2))]. given #19960 (H,wt=16): 21992 T(a(x,y,z),a(u,w,v5) \ 1) = a(x,y,z). [hyper(18,a,21887,a,b,21991,a)]. given #19961 (H,wt=13): 21993 K(a(x,y,z),u \ L(u,w,v5)) = 1. [hyper(71,a,21992,a(flip),b,13735,a),flip(a)]. given #19962 (H,wt=13): 21994 K(x \ L(x,y,z),a(u,w,v5)) = 1. [hyper(73,a,21993,a,b,5101,a),flip(a)]. given #19963 (H,wt=18): 21995 x * K(a(y,z,u),w \ L(w,v5,v6)) != v7 | v7 = x. [para(21993(a,2),83(a,1,2))]. given #19964 (H,wt=18): 21998 x * K(y \ L(y,z,u),a(w,v5,v6)) != v7 | v7 = x. [para(21994(a,2),83(a,1,2))]. given #19965 (H,wt=25): 21968 K(x,y * (z \ K(u,L(w,v5,v6)))) != v7 | K(x,y * (z \ K(u,w))) = v7. [para(21157(a,1),21963(a,1))]. given #19966 (H,wt=25): 21987 T(K(x,y) * L(y,z,T(x,u) * (u / x)),x) = L(y,z,x / (x / u)). [para(18293(a,1),21954(a,1,1,2))]. given #19967 (H,wt=21): 22001 L(x,y,T(T(z,u) * (u / z),z)) = L(x,y,z / (z / u)). [hyper(236,a,21953,a(flip),b,21987,a(flip)),flip(a)]. given #19968 (H,wt=17): 22002 L(x,y,z / (z / u)) = L(x,y,z * (u / z)). [para(4268(a,1),22001(a,1,3)),flip(a)]. given #19969 (H,wt=26): 21941 K(x,(a(y,z,u) \ (w \ 1)) \ v5) != v6 | K(x,w * (a(y,z,u) * v5)) = v6. [para(21849(a,2),14234(a,1))]. given #19970 (H,wt=26): 21966 K(x,y * ((z * u) * K(w,v5))) != v6 | K(x,y * (z * (u * K(w,v5)))) = v6. [para(14980(a,1),21963(a,1,2,2))]. given #19971 (H,wt=27): 21859 1 * K(x,(a(y,z,z \ 1) * u) / w) = K(x,u / (w / a(y,z,z \ 1))). [para(21850(a,1),20663(a,1,1))]. given #19972 (H,wt=27): 21903 a(x,y * ((y \ z) * u),K(w,(y * ((y \ z) * u)) \ z)) = a(x,z,K(u,w)). [hyper(236,a,12013,a,b,21882,a(flip)),flip(a)]. given #19973 (H,wt=24): 22008 a(x,y * ((y \ z) * u),K(w,L(u \ 1,z,y))) = a(x,z,K(u,w)). [para(14577(a,1),21903(a,1,3))]. given #19974 (H,wt=22): 22009 a(x,y * ((y \ z) * x),K(u,L(w,z,y))) = a(w,z,K(x,u)). [hyper(14423,a,22008,a)]. given #19975 (H,wt=24): 22010 x * L(x \ y,y,K(z,L(u,x,w))) = y * a(x \ y,x,K(z,u)). [para(22009(a,1),20850(a,1,2)),flip(a)]. given #19976 (H,wt=27): 21988 K(x,a(y,z,z \ 1) * ((u \ w) \ 1)) = K(x,w \ (a(z \ 1,z,y) \ u)). [hyper(236,a,20837,a(flip),b,21957,a(flip))]. given #19977 (H,wt=25): 22013 K(x,a(y,z,z \ 1) / (u \ w)) = K(x,w \ (a(z \ 1,z,y) \ u)). [hyper(14282,a,21988,a)]. given #19978 (H,wt=25): 22014 K(x,(y \ z) \ a(u,w,w \ 1)) = K(x,z \ (a(w \ 1,w,u) \ y)). [hyper(17716,a,22013,a)]. given #19979 (H,wt=25): 22015 K(x,y \ (a(z \ 1,z,u) \ w)) = K(x,y \ (w * a(u,z,z \ 1))). [hyper(20112,a,22014,a),flip(a)]. given #19980 (H,wt=25): 22016 K(x,y \ (z * a(u,w,w \ 1))) = K(x,a(u,w,w \ 1) * (y \ z)). [hyper(236,a,21957,a(flip),b,22015,a(flip))]. given #19981 (H,wt=25): 22017 K(x,(a(y,z,z \ 1) \ u) \ w) = K(x,a(y,z,z \ 1) * (u \ w)). [hyper(236,a,21940,a,b,22016,a(flip)),flip(a)]. given #19982 (H,wt=27): 22005 1 * K(x,(y / z) \ a(u,w,w \ 1)) = K(x,z / (y / a(u,w,w \ 1))). [para(20828(a,1),21859(a,1,2))]. given #19983 (H,wt=25): 22021 K(x,y / (z / a(u,w,w \ 1))) = K(x,(z / y) \ a(u,w,w \ 1)). [hyper(76,a,22005,a),flip(a)]. given #19984 (H,wt=25): 22022 K(x,y / (a(z,u,u \ 1) \ w)) = K(x,(w / y) \ a(z,u,u \ 1)). [para(13896(a,1),22021(a,1,2,2))]. given #19985 (H,wt=25): 22023 K(x,y / (a(z,u,u \ 1) \ w)) = K(x,a(z,u,u \ 1) * (y / w)). [hyper(236,a,21268,a(flip),b,22022,a)]. given #19986 (H,wt=28): 21919 (a(x,y,z) * a(u,w,v5)) * T(v6,a(x,y,z)) = (a(u,w,v5) * v6) * a(x,y,z). [para(21887(a,1),18767(a,1,1))]. given #19987 (H,wt=28): 21979 x \ ((a(y,z,K(u,w)) * v5) * v6) != v7 | a(y,z,K(u,w)) * (x \ (v5 * v6)) = v7. [para(21870(a,2),21965(a,1,2))]. given #19988 (H,wt=28): 22000 K(x,((y / (z \ 1)) * (z \ K(u,w))) / v5) != v6 | K(x,y * (v5 \ K(u,w))) = v6. [para(18404(a,1),21968(a,1))]. given #19989 (H,wt=28): 22018 K(x,a(y,z,z \ 1) * (u \ (((y * z) \ y) * w))) = K(x,u \ ((z \ 1) * w)). [para(21495(a,1),22016(a,1,2,2)),flip(a)]. given #19990 (H,wt=28): 22025 (a(x,y,z) * a(u,w,v5)) * L(v6,y,K(z,x)) = (a(u,w,v5) * v6) * a(x,y,z). [para(14670(a,2),21919(a,1,2))]. given #19991 (H,wt=28): 22026 K(x,(y \ (((z * u) \ z) * w)) * a(z,u,u \ 1)) = K(x,y \ ((u \ 1) * w)). [hyper(17723,a,22018,a)]. given #19992 (H,wt=29): 21947 K(x,((a(y,z,u) \ w) * K(v5,v6)) \ v7) = K(x,(w * K(v5,v6)) \ (a(y,z,u) * v7)). [para(21895(a,1),21849(a,1,2,1))]. given #19993 (H,wt=29): 22003 K(x,y * ((z * u) * K(w,v5))) != v6 | K(x,y * (z * (u * K(w,L(v5,v7,v8))))) = v6. [para(18268(a,1),21966(a,1))]. given #19994 (H,wt=29): 22004 K(x,y * (z * (u * K(w,L(v5,v6,v7))))) != v8 | K(x,y * (z * (u * K(w,v5)))) = v8. [para(18314(a,2),21966(a,1))]. given #19995 (H,wt=29): 22011 x * a(y \ x,y,K(y \ z,u)) = x * a(x \ y,z,K((w * z) \ (w * y),u)). [hyper(236,a,18397,a(flip),b,22010,a(flip))]. given #19996 (H,wt=25): 22030 x * a(y \ x,y,K(y \ z,u)) = x * a(u,z,K(x \ y,z \ y)). [para(21980(a,1),22011(a,2,2))]. given #19997 (H,wt=29): 22019 K(x,((y * a(z,y,y \ 1)) \ u) \ w) = K(x,a(z,y,y \ 1) * ((y \ u) \ w)). [para(21025(a,2),22017(a,1,2,1))]. given #19998 (H,wt=29): 22020 K(x,a(y,z,z \ 1) * (((z \ 1) * u) \ w)) = K(x,(L(z \ 1,z,y) * u) \ w). [para(21491(a,1),22017(a,1,2,1)),flip(a)]. given #19999 (H,wt=29): 22024 K(x,y / ((L(z \ 1,z,u) \ 1) \ w)) = K(x,a(u,z,z \ 1) * (y / (z \ w))). [hyper(236,a,21562,a(flip),b,22023,a(flip)),flip(a)]. given #20000 (H,wt=29): 22028 K(x,((a(y,z,u) \ w) * K(v5,v6)) \ v7) = K(x,K(v6,v5) * (w \ (a(y,z,u) * v7))). [hyper(236,a,19142,a(flip),b,21947,a)]. given #20001 (H,wt=29): 22033 K(x,K(y,z) * ((a(u,w,v5) \ v6) \ v7)) = K(x,K(y,z) * (v6 \ (a(u,w,v5) * v7))). [hyper(19159,a,22028,a)]. given #20002 (H,wt=31): 22031 K(x,(((y \ 1) \ a(z,y,y \ 1)) \ u) \ w) = K(x,a(z,y,y \ 1) * ((y \ u) \ w)). [hyper(236,a,21560,a,b,22019,a(flip)),flip(a)]. given #20003 (H,wt=29): 22035 K(x,((L(y \ 1,y,z) \ 1) \ u) \ w) = K(x,a(z,y,y \ 1) * ((y \ u) \ w)). [para(21382(a,1),22031(a,1,2,1,1))]. given #20004 (H,wt=33): 21978 L(x / (L(y,z,u) \ y),L(y,z,u) \ y,L(y,z,u)) = y \ (L(y,z,u) * L(x,z,K(u,y))). [para(21976(a,1),104(a,1,2,2)),flip(a)]. given #20005 (H,wt=34): 21914 T(L(x,y,z) * a(x,u,K(w,v5)),a(v5,u,w) \ 1) = R(L(x,y,z),a(v5,u,w) \ 1,L(x,y,z)). [para(21902(a,1),14800(a,1,1,2))]. given #20006 (H,wt=34): 21971 K(x,K((y \ z) * u,y \ (z * u))) \ a(y,z,K(x,u)) = K(x,(y \ (z * u)) / ((y \ z) * u)). [hyper(72,a,21970,a(flip),b,9398,a)]. given #20007 (H,wt=22): 22036 K(x,(y \ (z * u)) / ((y \ z) * u)) = 1 \ a(y,z,K(x,u)). [para(21098(a,1),21971(a,1,1)),flip(a)]. given #20008 (H,wt=20): 22037 K(x,(y \ (z * u)) / ((y \ z) * u)) = a(y,z,K(x,u)). [hyper(236,a,50,a(flip),b,22036,a)]. given #20009 (H,wt=28): 22039 K(x,(y \ (z * ((z * u) / z))) / ((y \ T(z,u)) * u)) = a(y,T(z,u),K(x,u)). [para(3875(a,1),22037(a,1,2,1,2))]. given #20010 (H,wt=26): 22040 K(x,(y \ T(z * u,z)) / ((y \ T(z,u)) * u)) = a(y,T(z,u),K(x,u)). [hyper(236,a,20675,a(flip),b,22039,a(flip)),flip(a)]. given #20011 (H,wt=24): 22041 K(x,(y \ T(z * u,z)) / ((y \ T(z,u)) * u)) = a(y,z,K(x,u)). [hyper(236,a,20295,a(flip),b,22040,a)]. given #20012 (H,wt=34): 22032 K(x,a(y,y \ z,(y \ z) \ 1) * (u / ((y \ z) \ w))) = K(x,u / (((z \ (y * 1)) \ 1) \ w)). [para(450(a,1),22024(a,1,2,2,1,1)),flip(a)]. given #20013 (H,wt=35): 21664 K(x,(y \ K(z \ T(u * w,u),y \ 1)) * (z \ (w * u))) = K(x,(z \ T(u * w,u)) * (y \ 1)). [para(5071(a,1),21662(a,1,2)),flip(a)]. given #20014 (H,wt=33): 22044 K(x,(y \ K(z \ T(u * w,u),y \ 1)) * (z \ (w * u))) = K(x,(z \ T(u * w,u)) / y). [hyper(236,a,14060,a(flip),b,21664,a)]. given #20015 (H,wt=31): 22045 K(x,(y \ K(z \ (u * w),y \ 1)) * (z \ (u * w))) = K(x,(z \ T(w * u,w)) / y). [para(16424(a,1),22044(a,1,2,1,2))]. given #20016 (H,wt=23): 22046 K(x,(y \ T(z * u,z)) / w) = K(x,(y \ (u * z)) * (w \ 1)). [para(5071(a,1),22045(a,1,2)),flip(a)]. given #20017 (H,wt=24): 22047 K(x,(y \ T(z * u,z)) / w) != v5 | K(x,(y \ (u * z)) / w) = v5. [para(22046(a,2),14282(a,1))]. given #20018 (H,wt=22): 22048 K(x,(y \ (z * u)) / ((y \ T(u,z)) * z)) = a(y,u,K(x,z)). [hyper(22047,a,22041,a)]. given #20019 (H,wt=35): 21803 L(x,y,(K(z \ u,z) \ ((w \ (K(z \ u,z) * v5)) * w)) * K(u,z)) = L(x,y,T(v5 * K(u,z),w)). [hyper(236,a,13805,a,b,21802,a(flip)),flip(a)]. given #20020 (H,wt=35): 22049 L(x,y,(K(z,z \ u) * ((w \ (K(z \ u,z) * v5)) * w)) * K(u,z)) = L(x,y,T(v5 * K(u,z),w)). [para(5260(a,1),21803(a,1,3,1))]. given #20021 (H,wt=35): 22050 L(x,y,K(z,z \ u) * (((w \ (K(z \ u,z) * v5)) * w) * K(u,z))) = L(x,y,T(v5 * K(u,z),w)). [para(7203(a,1),22049(a,1,3))]. given #20022 (H,wt=35): 22051 L(x,y,K(z,u) * (((w \ (K(u \ z,u) * v5)) * w) * K(u,u \ z))) = L(x,y,T(v5 * K(z,u),w)). [para(13570(a,1),22050(a,1,3))]. given #20023 (H,wt=29): 22052 L(x,y,K(z,u) * (T(w \ v5,K(u,u \ z)) * w)) = L(x,y,T(v5 * K(z,u),w)). [para(20859(a,1),22051(a,1,3,2))]. given #20024 (H,wt=23): 22053 L(x,y,K(z,u) * ((w \ v5) * w)) = L(x,y,T(v5 * K(z,u),w)). [hyper(20715,a,22052,a)]. given #20025 (H,wt=21): 22054 L(x,y,T(z * K(u,w),v5)) = L(x,y,K(u,w) * T(z,v5)). [hyper(236,a,18292,a(flip),b,22053,a(flip))]. given #20026 (H,wt=26): 22055 L(x \ L(x,K(y,z),u),x,T(u * K(y,z),w)) = a(x,K(y,z),T(u,w)). [hyper(236,a,19720,a(flip),b,22054,a)]. given #20027 (H,wt=24): 22056 L(x \ L(x,K(y,z),u),x,u * K(y,z)) = a(x,K(y,z),T(u,w)). [hyper(236,a,15192,a(flip),b,22055,a(flip)),flip(a)]. given #20028 (H,wt=15): 22058 a(x,K(y,z),T(u,w)) = a(x,K(y,z),u). [hyper(236,a,18967,a(flip),b,22056,a(flip))]. given #20029 (H,wt=24): 22059 L(x \ L(x,K(y,z),u),x,z * (u / T(z,y))) = a(x,K(y,z),u). [hyper(236,a,21305,a,b,22058,a(flip)),flip(a)]. given #20030 (H,wt=36): 21799 K(x,(y / z) * K(z,u * (w \ v5))) != v6 | K(x,(y / T(z,(w * (u \ 1)) \ v5)) * K(v7,K(v8,v9))) = v6. [para(21689(a,1),16416(a,1))]. given #20031 (H,wt=36): 22034 K(x,K(y,a(z,u,w) \ (y \ v5)) * ((v5 / y) \ (a(z,u,w) * v6))) = K(x,((a(z,u,w) * y) \ v5) \ v6). [hyper(236,a,19255,a(flip),b,22033,a(flip))]. given #20032 (H,wt=34): 22061 K(x,(y / T(z,a(u,w,v5) \ (z \ y))) \ (a(u,w,v5) * v6)) = K(x,((a(u,w,v5) * z) \ y) \ v6). [hyper(236,a,19198,a(flip),b,22034,a(flip)),flip(a)]. given #20033 (H,wt=37): 21736 K(x * ((K(K(y,z \ u) * w,w \ 1) / w) \ K(y,u * z)),v5) = K(x * (K(y,z \ u) / (1 / w)),v5). [para(6106(a,1),21735(a,1,1,2)),flip(a)]. given #20034 (H,wt=37): 21943 (a(x,y,K(z,u)) * (w * (v5 * v6))) \ (((a(x,y,K(z,u)) * w) * v5) * v6) = a(a(x,y,K(z,u)) * w,v5,v6). [para(21870(a,1),24(a,2,1)),flip(a)]. given #20035 (H,wt=37): 22062 K(x * ((K(K(y,z \ u) * w,w \ 1) / w) \ K(y,u * z)),v5) = K(x * (K(y,z \ u) / (w \ 1)),v5). [hyper(236,a,5439,a(flip),b,21736,a)]. given #20036 (H,wt=35): 22064 K(x * ((K(K(y,z \ u) * w,w \ 1) / w) \ K(y,u * z)),v5) = K(x * (K(y,z \ u) * w),v5). [para(14503(a,1),22062(a,2,1,2))]. given #20037 (H,wt=33): 22065 K(x * ((K(y,y \ K(z,u \ w)) / y) \ K(z,w * u)),v5) = K(x * (K(z,u \ w) * y),v5). [para(18704(a,1),22064(a,1,1,2,1,1))]. given #20038 (H,wt=33): 22066 K(x * ((K(y,y \ K(z,u * w)) / y) \ K(z,w * u)),v5) = K(x * (K(z,u \ w) * y),v5). [para(21728(a,1),22065(a,1,1,2,1,1))]. given #20039 (H,wt=33): 22067 K(x * (y * (K(z,u * w) * K(y \ K(z,w * u),y))),v5) = K(x * (K(z,w \ u) * y),v5). [para(19207(a,1),22066(a,1,1,2))]. given #20040 (H,wt=27): 22068 K(x * (y * ((y \ K(z,u * w)) * y)),v5) = K(x * (K(z,w \ u) * y),v5). [para(18372(a,1),22067(a,1,1,2,2))]. given #20041 (H,wt=25): 22069 K(x * (K(y,z * u) / (1 / w)),v5) = K(x * (K(y,u \ z) * w),v5). [para(19876(a,1),22068(a,1,1,2))]. given #20042 (H,wt=25): 22070 K(x * (K(y,z * u) / (w \ 1)),v5) = K(x * (K(y,u \ z) * w),v5). [hyper(6112,a,22069,a)]. given #20043 (H,wt=23): 22071 K(x * (K(y,z \ u) * w),v5) = K(x * (K(y,u * z) * w),v5). [para(14503(a,1),22070(a,1,1,2)),flip(a)]. given #20044 (H,wt=27): 22072 x / (K(y * (K(z,u * w) * v5),v6) * x) = K(v6,y * (K(z,w \ u) * v5)). [para(22071(a,1),5266(a,1,2,1))]. given #20045 (H,wt=23): 22073 K(x,y * (K(z,u \ w) * v5)) = K(x,y * (K(z,w * u) * v5)). [hyper(17977,a,22072,a),flip(a)]. given #20046 (H,wt=27): 22074 K(x,y * ((T(z / u,w) \ z) / v5)) = K(x,y * (K(w,z * u) * (u / v5))). [hyper(236,a,21139,a,b,22073,a(flip)),flip(a)]. given #20047 (H,wt=25): 22076 K(x,y * ((T(1 / z,u) \ 1) / w)) = K(x,y * (K(u,z) * (z / w))). [para(11(a,1),22074(a,2,2,2,1,2))]. given #20048 (H,wt=23): 22077 K(x,y * ((T(1 / z,u) \ 1) / w)) = K(x,y * (T(z,u) / w)). [hyper(236,a,18216,a(flip),b,22076,a)]. given #20049 (H,wt=29): 22075 K(x,((y * z) \ u) * (K(w,z * w) * v5)) = K(x,((y * ((w \ z) * w)) \ u) * v5). [hyper(236,a,21191,a(flip),b,22073,a(flip))]. given #20050 (H,wt=29): 22078 K(x,((y * z) \ u) * (K(w,w * z) * v5)) = K(x,((y * ((w \ z) * w)) \ u) * v5). [para(6605(a,1),22075(a,1,2,2,1))]. given #20051 (H,wt=27): 22079 K(x,((y * ((z \ u) * z)) \ w) * v5) = K(x,((y * u) \ w) * (K(z,u) * v5)). [hyper(236,a,13091,a(flip),b,22078,a(flip))]. given #20052 (H,wt=25): 22080 K(x,((y * ((z \ u) * z)) \ w) * v5) = K(x,((y * T(u,z)) \ w) * v5). [hyper(236,a,21190,a(flip),b,22079,a)]. given #20053 (H,wt=35): 22081 K(x,((y * T(z,u)) \ w) * T(v5,(y * ((u \ z) * u)) \ w)) = K(x,v5 * ((y * ((u \ z) * u)) \ w)). [para(119(a,1),22080(a,1,2)),flip(a)]. given #20054 (H,wt=33): 22082 K(x,((y * T(z,u)) \ w) * T(v5,(y * T(z,u)) \ w)) = K(x,v5 * ((y * ((u \ z) * u)) \ w)). [para(19719(a,1),22081(a,1,2,2))]. given #20055 (H,wt=25): 22083 K(x,y * ((z * ((u \ w) * u)) \ v5)) = K(x,y * ((z * T(w,u)) \ v5)). [para(119(a,1),22082(a,1,2)),flip(a)]. given #20056 (H,wt=25): 22084 K(x,y * (((z * u) \ w) * K(u,v5))) = K(x,y * ((z * T(u,v5)) \ w)). [hyper(236,a,21188,a(flip),b,22083,a(flip)),flip(a)]. given #20057 (H,wt=25): 22085 K(x,y * ((z * ((u * w) / u)) \ v5)) = K(x,y * ((z * T(w,u)) \ v5)). [hyper(236,a,21185,a,b,22084,a(flip)),flip(a)]. given #20058 (H,wt=26): 22086 K(x,y * ((z * T(u,K(w,v5))) \ v6)) != v7 | K(x,y * ((z * u) \ v6)) = v7. [para(22084(a,1),16689(a,1))]. given #20059 (H,wt=35): 22087 K(x,((y * ((z * u) / z)) \ w) * v5) = K(x,K(v5,y * (u * w))) * K(x,v5 * ((y * T(u,z)) \ w)). [para(22085(a,1),20660(a,1,2)),flip(a)]. given #20060 (H,wt=25): 22088 K(x,((y * ((z * u) / z)) \ w) * v5) = K(x,((y * T(u,z)) \ w) * v5). [hyper(236,a,20252,a(flip),b,22087,a)]. given #20061 (H,wt=31): 22089 K(x,((y * ((y * z) / R(y,u,y))) \ w) * v5) = K(x,((L(y,u,y) * T(z,y)) \ w) * v5). [para(12977(a,1),22088(a,1,2,1,1))]. given #20062 (H,wt=26): 22090 K(x,((L(y,z,y) * T(u,y)) \ w) * v5) = K(x,(T(y * u,y) \ w) * v5). [hyper(20469,a,22089,a),flip(a)]. given #20063 (H,wt=24): 22091 K(x,((L(y,z,y) * T(u,y)) \ w) * v5) = K(x,((u * y) \ w) * v5). [hyper(236,a,19561,a(flip),b,22090,a)]. given #20064 (H,wt=22): 22092 K(x,((y * L(z,u,z)) \ w) * v5) = K(x,((y * z) \ w) * v5). [para(8305(a,1),22091(a,1,2,1,1))]. given #20065 (H,wt=28): 22093 K(x,((y * L(z / y,u,z / y)) \ y) * w) = K(x,(z \ (z / (z / y))) * w). [para(5319(a,1),22092(a,2,2,1))]. given #20066 (H,wt=28): 22094 K(x,((y * L(z / y,u,y \ z)) \ y) * w) = K(x,(z \ (z / (z / y))) * w). [para(7391(a,1),22093(a,1,2,1,1,2))]. given #20067 (H,wt=26): 22095 K(x,((y * L(z / y,u,y \ z)) \ y) * w) = K(x,(z \ T(y,z)) * w). [hyper(236,a,21746,a(flip),b,22094,a)]. given #20068 (H,wt=24): 22096 K(x,((y * L(z / y,u,y \ z)) \ y) * w) = K(x,(y / z) * w). [hyper(236,a,18431,a(flip),b,22095,a)]. given #20069 (H,wt=37): 22063 (a(x,y,K(z,u)) * (w * (v5 * v6))) \ ((a(x,y,K(z,u)) * (w * v5)) * v6) = a(a(x,y,K(z,u)) * w,v5,v6). [para(21870(a,1),21943(a,1,2,1))]. given #20070 (H,wt=37): 22097 a(x,y,K(z,u)) * ((a(x,y,K(z,u)) * (w * (v5 * v6))) \ ((w * v5) * v6)) = a(a(x,y,K(z,u)) * w,v5,v6). [hyper(21979,a,22063,a)]. given #20071 (H,wt=37): 22098 a(x,y,K(z,u)) * (a(u,y,K(z,x)) * ((w * (v5 * v6)) \ ((w * v5) * v6))) = a(a(x,y,K(z,u)) * w,v5,v6). [para(21130(a,1),22097(a,1,2))]. given #20072 (H,wt=30): 22099 a(x,y,K(z,u)) * (a(u,y,K(z,x)) * a(w,v5,v6)) = a(a(x,y,K(z,u)) * w,v5,v6). [para(24(a,2),22098(a,1,2,2))]. given #20073 (H,wt=16): 22100 a(a(x,y,K(z,u)) * w,v5,v6) = a(w,v5,v6). [hyper(14029,a,22099,a)]. given #20074 (H,wt=14): 22103 a(L(x,y,K(z,u)),w,v5) = a(x,w,v5). [para(14671(a,1),22100(a,1,1))]. given #20075 (H,wt=19): 22101 a(a(x,y,K(z,u)) * w,v5,v6) != v7 | a(w,v5,v6) = v7. [para(22099(a,1),14029(a,1)),flip(b)]. given #20076 (H,wt=21): 22104 a((K(x,y) * z) \ (u * K(x,y)),w,v5) = a(z \ u,w,v5). [hyper(236,a,18925,a(flip),b,22103,a(flip)),flip(a)]. given #20077 (H,wt=23): 22105 a(x * K(y,L(z,u,w)),v5,v6) != v7 | a(x * K(y,z),v5,v6) = v7. [para(21962(a,1),22101(a,1,1))]. given #20078 (H,wt=24): 22108 a(x \ (y * K(z,u)),w,v5) != v6 | a((x \ y) * K(z,u),w,v5) = v6. [para(18800(a,1),22105(a,1,1))]. given #20079 (H,wt=21): 22109 a(x \ (y * K(z,u)),w,v5) = a((x \ y) * K(z,u),w,v5). [hyper(22108,a,xx),flip(a)]. given #20080 (H,wt=25): 22107 a(T(x,K(y,z)) \ (u * K(y,z)),w,v5) = a((x / K(y,z)) \ u,w,v5). [para(8193(a,1),22104(a,1,1,1))]. given #20081 (H,wt=21): 22110 a((x / K(y,z)) \ u,w,v5) = a(x \ (u * K(y,z)),w,v5). [hyper(18919,a,22107,a),flip(a)]. given #20082 (H,wt=21): 22111 a((x * K(y,z)) \ u,w,v5) = a(x \ (u * K(z,y)),w,v5). [para(7547(a,1),22110(a,1,1,1))]. given #20083 (H,wt=21): 22112 a((x * K(y,z)) \ u,w,v5) = a((x \ u) * K(z,y),w,v5). [hyper(236,a,22109,a(flip),b,22111,a)]. given #20084 (H,wt=33): 22113 a((L(x * y,z,x * y) \ u) * K(L(w,y,x),v5),v6,v7) = a((x * (y * K(v5,w))) \ u,v6,v7). [hyper(236,a,13626,a(flip),b,22112,a(flip))]. given #20085 (H,wt=33): 22114 a((L(x * y,z,x * y) \ u) * K(w,L(v5,y,x)),v6,v7) = a((x * (y * K(v5,w))) \ u,v6,v7). [para(11533(a,1),22113(a,1,1,2))]. given #20086 (H,wt=30): 22115 a((L(x * y,z,x * y) \ u) * K(w,v5),v6,v7) = a((x * (y * K(v5,w))) \ u,v6,v7). [hyper(22105,a,22114,a)]. given #20087 (H,wt=28): 22116 a((x * (y * K(z,u))) \ w,v5,v6) != v7 | a(((x * y) \ w) * K(u,z),v5,v6) = v7. [para(22115(a,1),13600(a,1))]. given #20088 (H,wt=38): 21678 K(x,T(y,L(z,u,K(w,v5))) * T(a(v5,u,w) \ z,a(v5,u,w))) = K(x,T((a(v5,u,w) \ z) * y,a(v5,u,w))). [para(14928(a,1),21676(a,1,2,1,2))]. given #20089 (H,wt=33): 22117 K(x,T(y,z) * T(a(u,w,v5) \ z,a(u,w,v5))) = K(x,T((a(u,w,v5) \ z) * y,a(u,w,v5))). [para(17675(a,1),21678(a,1,2,1))]. given #20090 (H,wt=28): 22118 K(x,T((a(y,z,u) \ w) * v5,a(y,z,u))) = K(x,T(v5,w) * (a(y,z,u) \ w)). [hyper(18097,a,22117,a),flip(a)]. given #20091 (H,wt=23): 22120 K(x,T(y,z) * (a(u,w,v5) \ z)) = K(x,(a(u,w,v5) \ z) * y). [hyper(17718,a,22118,a),flip(a)]. given #20092 (H,wt=23): 22122 K(x,a(y,z,u) \ ((w \ 1) \ v5)) = K(x,(a(y,z,u) \ w) * v5). [hyper(236,a,21641,a,b,22120,a(flip)),flip(a)]. given #20093 (H,wt=29): 22123 K(x,L(y * (a(z,u,w) \ v5),v5,a(w,u,z) \ 1)) = K(x,(a(z,u,w) \ y) * v5). [hyper(20121,a,22122,a)]. given #20094 (H,wt=27): 22124 K(x,L(y * (a(z,u,w) \ v5),v5,a(z,u,w))) = K(x,(a(z,u,w) \ y) * v5). [hyper(236,a,14950,a(flip),b,22123,a(flip)),flip(a)]. given #20095 (H,wt=21): 22125 K(x,(a(y,z,u) \ w) * v5) = K(x,w * (a(y,z,u) \ v5)). [hyper(21898,a,22124,a),flip(a)]. given #20096 (H,wt=24): 22126 K(x,(a(y,z,u) \ w) * v5) != v6 | K(x,w * (a(y,z,u) \ v5)) = v6. [para(22124(a,1),21898(a,1))]. given #20097 (H,wt=32): 22128 K(x,(y * K(a(z,u,w) \ y,v5)) * (a(z,u,w) \ v6)) = K(x,T(a(z,u,w) \ y,v5) * v6). [para(6226(a,1),22125(a,1,2,1)),flip(a)]. given #20098 (H,wt=32): 22129 K(x,(a(y,z,u) \ w) * (v5 * K(a(y,z,u) \ v5,v6))) = K(x,w * T(a(y,z,u) \ v5,v6)). [para(6226(a,1),22125(a,2,2,2))]. given #20099 (H,wt=32): 22130 K(x,y * ((a(z,u,w) \ v5) * K(a(z,u,w) \ y,v6))) = K(x,T(a(z,u,w) \ y,v6) * v5). [hyper(19460,a,22128,a)]. given #20100 (H,wt=32): 22131 K(x,(a(y,z,u) \ w) * (v5 * K(a(y,z,u) * v5,v6))) = K(x,w * T(a(y,z,u) \ v5,v6)). [hyper(236,a,21729,a(flip),b,22129,a(flip)),flip(a)]. given #20101 (H,wt=32): 22132 K(x,y * ((a(z,u,w) \ v5) * K(a(z,u,w) * y,v6))) = K(x,T(a(z,u,w) \ y,v6) * v5). [hyper(236,a,21729,a(flip),b,22130,a(flip)),flip(a)]. given #20102 (H,wt=39): 22027 K(x,(y \ (a(z * u,(z * u) \ z,z * u) \ z)) * a(z,u,u \ 1)) = K(x,y \ ((u \ 1) * T(z * u,z))). [para(12330(a,2),22026(a,1,2,1,2))]. given #20103 (H,wt=37): 22133 K(x,(y \ (a(z * u,u \ 1,z * u) \ z)) * a(z,u,u \ 1)) = K(x,y \ ((u \ 1) * T(z * u,z))). [para(10886(a,1),22027(a,1,2,1,2,1))]. given #20104 (H,wt=37): 22135 K(x,(y \ z) * (a(z * u,u \ 1,z * u) \ a(z,u,u \ 1))) = K(x,y \ ((u \ 1) * T(z * u,z))). [para(12974(a,1),22133(a,1,2))]. given #20105 (H,wt=26): 22136 K(x,y \ ((z \ 1) * T(u * z,u))) = K(x,(y \ u) * a(u,z,z \ 1)). [hyper(236,a,13015,a(flip),b,22135,a(flip))]. given #20106 (H,wt=24): 22138 K(x,(y \ z) * a(z,u,u \ 1)) = K(x,y \ ((u \ 1) * (u * z))). [hyper(236,a,19481,a(flip),b,22136,a(flip))]. given #20107 (H,wt=23): 22139 K(x,(y \ z) * a(z,u,u \ 1)) = K(x,y \ L(z,u,u \ 1)). [hyper(236,a,5931,a(flip),b,22138,a)]. given #20108 (H,wt=40): 21848 K(x,R(x,y * z,a(x,y,z)) * (((x * y) * z) \ (((y * z) * a(x,y,z)) * u))) = K(R(x,y * z,a(x,y,z)),u). [hyper(236,a,15372,a(flip),b,21844,a(flip))]. given #20109 (H,wt=40): 22140 K(x,R(x,y * z,a(x,y,z)) * (((x * y) * z) \ (((y * z) * a(x,y,z)) * u))) = K(x,L(u,y * z,a(x,y,z))). [hyper(236,a,15351,a(flip),b,21848,a)]. given #20110 (H,wt=32): 22142 K(x,R(x,y * z,a(x,y,z)) * (((x * y) * z) \ (((y * z) * a(x,y,z)) * u))) = K(x,u). [hyper(236,a,21844,a(flip),b,22140,a)]. given #20111 (H,wt=24): 22144 K(x,x * (((x * y) * z) \ (((y * z) * a(x,y,z)) * u))) = K(x,u). [hyper(236,a,15588,a(flip),b,22142,a(flip)),flip(a)]. given #20112 (H,wt=20): 22146 K(x,(y * z) \ (((y * z) * a(x,y,z)) * u)) = K(x,u). [hyper(236,a,12854,a(flip),b,22144,a(flip)),flip(a)]. given #20113 (H,wt=43): 21871 (a(x,y,K(z,u)) * (w * v5)) \ ((a(x,y,K(z,u)) * w) * (v5 * v6)) = L(v6,L(v5,w,a(x,y,K(z,u))),a(x,y,K(z,u)) * w). [para(21868(a,1),439(a,1,2,2,1))]. given #20114 (H,wt=43): 22043 K(x,((y * ((y \ z) * ((y \ z) \ 1))) \ (z * ((y \ z) \ 1))) * (u / ((y \ z) \ w))) = K(x,u / (((z \ (y * 1)) \ 1) \ w)). [para(92(a,2),22032(a,1,2,1))]. given #20115 (H,wt=41): 22148 K(x,((y * ((y \ z) * ((y \ z) \ 1))) \ (z * ((y \ z) \ 1))) * (u / ((y \ z) \ w))) = K(x,u / (((z \ y) \ 1) \ w)). [para(12(a,1),22043(a,2,2,2,1,1,2))]. given #20116 (H,wt=31): 22149 K(x,(y \ (z * ((y \ z) \ 1))) * (u / ((y \ z) \ w))) = K(x,u / (((z \ y) \ 1) \ w)). [para(56(a,1),22148(a,1,2,1,1))]. given #20117 (H,wt=35): 22150 K(x,((y * z) \ (y * (((y * z) \ y) \ 1))) * (u / (((y * z) \ y) \ w))) = K(x,u / ((z \ 1) \ w)). [para(13(a,1),22149(a,2,2,2,1,1))]. given #20118 (H,wt=31): 22151 K(x,(y \ (((z * y) \ z) \ 1)) * (u / (((z * y) \ z) \ w))) = K(x,u / ((y \ 1) \ w)). [para(21392(a,1),22150(a,1,2,1))]. given #20119 (H,wt=29): 22152 K(x,(((y * z) \ y) * z) \ (u / (((y * z) \ y) \ w))) = K(x,u / ((z \ 1) \ w)). [para(21345(a,1),22151(a,1,2))]. given #20120 (H,wt=28): 22153 K(x,a(y,z,z \ 1) * (u / (((y * z) \ y) \ w))) = K(x,u / ((z \ 1) \ w)). [hyper(236,a,21399,a(flip),b,22152,a(flip)),flip(a)]. given #20121 (H,wt=43): 22147 (a(x,y,K(z,u)) * (w * v5)) \ ((a(x,y,K(z,u)) * w) * (v5 * v6)) = L(v6,L(v5,w,a(x,y,K(z,u))),w * a(x,y,K(z,u))). [para(17667(a,1),21871(a,2,3))]. given #20122 (H,wt=43): 22154 a(x,y,K(z,u)) * ((a(x,y,K(z,u)) * (w * v5)) \ (w * (v5 * v6))) = L(v6,L(v5,w,a(x,y,K(z,u))),w * a(x,y,K(z,u))). [hyper(21979,a,22147,a)]. given #20123 (H,wt=43): 22155 a(x,y,K(z,u)) * (a(u,y,K(z,x)) * ((w * v5) \ (w * (v5 * v6)))) = L(v6,L(v5,w,a(x,y,K(z,u))),w * a(x,y,K(z,u))). [para(21130(a,1),22154(a,1,2))]. given #20124 (H,wt=38): 22156 L(x,L(y,z,a(u,w,K(v5,v6))),z * a(u,w,K(v5,v6))) = a(u,w,K(v5,v6)) * (a(v6,w,K(v5,u)) * L(x,y,z)). [para(28(a,2),22155(a,1,2,2)),flip(a)]. given #20125 (H,wt=24): 22157 L(x,L(y,z,a(u,w,K(v5,v6))),z * a(u,w,K(v5,v6))) = L(x,y,z). [hyper(236,a,14028,a(flip),b,22156,a)]. given #20126 (H,wt=16): 22159 L(x,y,z * a(u,w,K(v5,v6))) = L(x,y,z). [para(21868(a,1),22157(a,1,2))]. given #20127 (H,wt=16): 22160 L(x,y,K(z,L(u,w,v5))) = L(x,y,K(z,u)). [para(11482(a,1),22159(a,1,3))]. given #20128 (H,wt=16): 22161 L(x,y,a(z,u,K(w,v5)) * v6) = L(x,y,v6). [para(17667(a,2),22159(a,1,3))]. given #20129 (H,wt=14): 22164 L(x,L(y,z,K(u,w)),v5) = L(x,y,v5). [hyper(236,a,20878,a(flip),b,22161,a(flip)),flip(a)]. given #20130 (H,wt=24): 22162 L(L(x,y,K(z,u)),w,a(v5,v6,K(v7,v8))) = L(x,y,K(z,L(u,v9,v10))). [hyper(236,a,21868,a,b,22160,a),flip(a)]. given #20131 (H,wt=19): 22168 L(x,y,K(z,L(u,w,v5))) != v6 | L(x,y,K(z,u)) = v6. [para(22162(a,1),326(a,1)),flip(b)]. given #20132 (H,wt=24): 22169 L(x,y,K((z * u) \ w,v5)) != v6 | L(x,y,K(u \ (z \ w),v5)) = v6. [para(11477(a,1),22168(a,1,3))]. given #20133 (H,wt=26): 22163 L(x,y,z) * L(u,w,K(v5,L(x,y,z))) = L(L(x,y,z) * u,w,K(v5,x)). [hyper(236,a,21117,a(flip),b,22160,a(flip)),flip(a)]. given #20134 (H,wt=23): 22170 L(L(x,y,z) * u,w,K(v5,x)) = L(x,y,z) * L(u,w,K(v5,x)). [para(22160(a,1),22163(a,1,2)),flip(a)]. given #20135 (H,wt=25): 22171 L(L(x,y,z) * (x \ u),y,K(z,x)) != w | (u / x) * L(x,y,z) = w. [para(22170(a,2),14735(a,1))]. given #20136 (H,wt=33): 22172 L(x / (L(y,z,u) \ y),L(y,z,u) \ y,L(y,z,u)) = y \ L(L(y,z,u) * x,z,K(u,y)). [para(22170(a,2),21978(a,2,2))]. given #20137 (H,wt=33): 22174 L(x / (L(y,z,u) \ y),L(y,z,u) \ y,L(y,z,u)) = L(y \ (L(y,z,u) * x),z,K(u,y)). [hyper(236,a,14774,a,b,22172,a)]. given #20138 (H,wt=33): 22175 L(x / (L(y,z,u) \ y),L(y,z,u) \ y,L(y,z,u)) = L(L(y,z,u) * (y \ x),z,K(u,y)). [para(1205(a,1),22174(a,2,1))]. given #20139 (H,wt=28): 22176 L(x / (L(y,z,u) \ y),L(y,z,u) \ y,L(y,z,u)) = (x / y) * L(y,z,u). [hyper(22171,a,22175,a(flip)),flip(a)]. given #20140 (H,wt=37): 22167 L(L(L(x \ 1,y,K(z,u)),x,y),y * L(x,y,K(z,u)),K(u,z)) = ((K(u,z) * y) * x) \ (K(u,z) * y). [para(22164(a,1),19998(a,1,1))]. given #20141 (H,wt=32): 22177 L(L(L(x \ 1,y,K(z,u)),x,y),y * x,K(u,z)) = ((K(u,z) * y) * x) \ (K(u,z) * y). [hyper(236,a,20325,a(flip),b,22167,a(flip)),flip(a)]. given #20142 (H,wt=19): 22180 ((K(x,y) * z) * u) \ (K(x,y) * z) = (z * u) \ z. [hyper(236,a,20477,a(flip),b,22177,a(flip))]. given #20143 (H,wt=22): 22182 a(K(x,y) * z,u,u \ 1) \ w = w * (u * ((z * u) \ z)). [para(22180(a,1),21384(a,1,2,2)),flip(a)]. given #20144 (H,wt=21): 22183 a(K(x,y) * z,u,u \ 1) \ w = a(z,u,u \ 1) \ w. [hyper(236,a,21384,a(flip),b,22182,a)]. given #20145 (H,wt=25): 22184 K(x,y) / (a(z,u,u \ 1) \ (z \ 1)) = R(K(x,y) * z,u,u \ 1). [para(22183(a,1),20553(a,1,2))]. given #20146 (H,wt=23): 22185 K(x,y) / (R(z,u,u \ 1) \ 1) = R(K(x,y) * z,u,u \ 1). [para(18836(a,1),22184(a,1,2))]. given #20147 (H,wt=21): 22187 R(K(x,y) * z,u,u \ 1) = K(x,y) * R(z,u,u \ 1). [hyper(14504,a,22185,a),flip(a)]. given #20148 (H,wt=23): 22188 (K(x,y) * z) \ R(K(x,y) * z,u,u \ 1) = a(z,u,u \ 1). [para(22187(a,2),18847(a,1,2))]. given #20149 (H,wt=17): 22189 a(K(x,y) * z,u,u \ 1) = a(z,u,u \ 1). [hyper(690,a,22188,a)]. given #20150 (H,wt=17): 22190 a(x * K(y,z),u,u \ 1) = a(x,u,u \ 1). [hyper(18920,a,22189,a)]. given #20151 (H,wt=21): 22191 a(x \ (y * K(z,u)),w,w \ 1) = a(x \ y,w,w \ 1). [hyper(236,a,22109,a,b,22190,a(flip)),flip(a)]. given #20152 (H,wt=21): 22192 a(x \ (K(y,z) * u),w,w \ 1) = a(x \ u,w,w \ 1). [hyper(236,a,18918,a,b,22191,a(flip)),flip(a)]. given #20153 (H,wt=25): 22193 a(x \ ((y / z) * u),w,w \ 1) = a(x \ ((z \ y) * u),w,w \ 1). [para(6487(a,1),22191(a,1,1,2))]. given #20154 (H,wt=25): 22194 a(x \ (y * (z * u)),w,w \ 1) = a(x \ (y * (u * z)),w,w \ 1). [para(7575(a,1),22191(a,1,1,2))]. given #20155 (H,wt=25): 22196 a(x \ (K(y,z) * (u * w)),v5,v5 \ 1) = a(x \ (w * u),v5,v5 \ 1). [hyper(236,a,22192,a(flip),b,22194,a)]. given #20156 (H,wt=25): 22197 a(x \ (y * (K(z,y) * u)),w,w \ 1) = a(x \ (u * y),w,w \ 1). [para(5363(a,1),22196(a,1,1,2))]. given #20157 (H,wt=25): 22199 a(x \ ((y / (y / z)) * u),w,w \ 1) = a(x \ (u * z),w,w \ 1). [para(5573(a,2),22197(a,1,1,2))]. given #20158 (H,wt=28): 22200 a(((x \ y) * z) \ ((u / (u / z)) * y),w,w \ 1) = R(a(x,w,w \ 1),y,z). [hyper(236,a,18884,a(flip),b,22199,a)]. given #20159 (H,wt=28): 22201 a(((x \ y) * z) \ (((u / z) \ u) * y),w,w \ 1) = R(a(x,w,w \ 1),y,z). [hyper(236,a,22193,a(flip),b,22200,a(flip)),flip(a)]. given #20160 (H,wt=24): 22202 a(((x \ y) * z) \ (z * y),u,u \ 1) = R(a(x,u,u \ 1),y,z). [para(65(a,1),22201(a,1,1,2,1))]. given #20161 (H,wt=44): 22195 a((x * ((x \ (y \ z)) * x)) \ ((((y \ z) / x) \ (y \ z)) * z),u,u \ 1) = L(a(y,u,u \ 1),z,(y \ z) / ((y \ z) / x)). [hyper(236,a,20980,a(flip),b,22193,a(flip))]. given #20162 (H,wt=36): 22203 L(a(x,y,y \ 1),z,(x \ z) / ((x \ z) / u)) = a((u * ((u \ (x \ z)) * u)) \ (u * z),y,y \ 1). [para(65(a,1),22195(a,1,1,2,1)),flip(a)]. given #20163 (H,wt=32): 22204 L(a(x,y,y \ 1),z,(x \ z) / ((x \ z) / u)) = a(((x \ z) * u) \ (u * z),y,y \ 1). [hyper(236,a,13621,a(flip),b,22203,a)]. given #20164 (H,wt=27): 22206 L(a(x,y,y \ 1),z,(x \ z) / ((x \ z) / u)) = R(a(x,y,y \ 1),z,u). [hyper(236,a,22202,a(flip),b,22204,a)]. given #20165 (H,wt=27): 22207 L(a(x,y,y \ 1),z,(x \ z) * (u / (x \ z))) = R(a(x,y,y \ 1),z,u). [hyper(236,a,22002,a(flip),b,22206,a(flip)),flip(a)]. given #20166 (H,wt=45): 21685 L(T(x,K(y,z) * (a(u,w,v5) * y)),a(u,w,v5) * y,K(y,z)) = K(x,T(a(u,w,v5) * y,z)) * L(x,a(u,w,v5) * y,K(y,z)). [para(21683(a,2),16334(a,2,1))]. given #20167 (H,wt=43): 22208 L(T(x,K(y,z) * (a(u,w,v5) * y)),a(u,w,v5) * y,K(y,z)) = K(x,T(a(u,w,v5) * y,z)) * L(x,a(u,w,v5),K(y,z)). [para(20322(a,1),21685(a,2,2))]. given #20168 (H,wt=35): 22209 L(T(x,K(y,z) * (a(u,w,v5) * y)),a(u,w,v5) * y,K(y,z)) = K(x,T(a(u,w,v5) * y,z)) * x. [para(20094(a,1),22208(a,2,2))]. given #20169 (H,wt=33): 22210 L(T(x,K(y,z) * (a(u,w,v5) * y)),a(u,w,v5) * y,K(y,z)) = T(x,T(a(u,w,v5) * y,z)). [hyper(236,a,4897,a,b,22209,a)]. given #20170 (H,wt=31): 22211 L(T(x,a(y,z,u) * T(w,v5)),a(y,z,u) * w,K(w,v5)) = T(x,T(a(y,z,u) * w,v5)). [para(16146(a,1),22210(a,1,1))]. given #20171 (H,wt=29): 22212 L(T(x,a(y,z,u) * T(w,v5)),a(y,z,u),K(w,v5)) = T(x,T(a(y,z,u) * w,v5)). [hyper(20323,a,22211,a)]. given #20172 (H,wt=21): 22213 T(x,T(a(y,z,u) * w,v5)) = T(x,a(y,z,u) * T(w,v5)). [hyper(20108,a,22212,a)]. given #20173 (H,wt=21): 22215 T(x,T(a(y,z,u) * w,v5)) = T(x,T(w,v5) * a(y,z,u)). [hyper(17686,a,22213,a(flip)),flip(a)]. given #20174 (H,wt=27): 22216 T(x,y \ (a(z,u,w) * K(y \ 1,v5))) = T(x,T(a(z,u,w) * (y \ 1),v5)). [hyper(16325,a,22215,a(flip))]. given #20175 (H,wt=25): 22217 T(x,y \ (a(z,u,w) * K(y \ 1,v5))) = T(x,T(a(z,u,w) / y,v5)). [hyper(236,a,14826,a(flip),b,22216,a)]. given #20176 (H,wt=25): 22218 T(x,y \ (a(z,u,w) * K(y \ 1,v5))) = T(x,T(y \ a(z,u,w),v5)). [hyper(236,a,18425,a(flip),b,22217,a)]. given #20177 (H,wt=25): 22219 T(x,(y \ a(z,u,w)) * K(y \ 1,v5)) = T(x,T(y \ a(z,u,w),v5)). [para(9629(a,1),22218(a,1,2))]. given #20178 (H,wt=23): 22220 T(x,(y \ a(z,u,w)) * K(y,v5)) = T(x,T(y \ a(z,u,w),v5)). [hyper(236,a,15852,a(flip),b,22219,a(flip)),flip(a)]. given #20179 (H,wt=21): 22221 T(x,T(y,z) \ a(u,w,v5)) = T(x,T(y \ a(u,w,v5),z)). [hyper(236,a,16258,a(flip),b,22220,a(flip)),flip(a)]. given #20180 (H,wt=35): 22222 K(x,(T(y,z) \ T(z,T(u \ a(w,v5,v6),v7))) * v8) = K(x,(T(z,T(u,v7) \ a(w,v5,v6)) / y) * v8). [para(22221(a,1),20472(a,1,2,1,2))]. given #20181 (H,wt=33): 22223 K(x,(T(y,z) \ T(z,u \ a(w,v5,v6))) * v7) = K(x,(T(z,T(u,v8) \ a(w,v5,v6)) / y) * v7). [hyper(236,a,19342,a(flip),b,22222,a(flip)),flip(a)]. given #20182 (H,wt=33): 22225 K(x,(T(y,z) \ T(z,u * a(w,v5,v6))) * v7) = K(x,(T(z,T(u,v8) \ a(w,v5,v6)) / y) * v7). [hyper(236,a,21748,a(flip),b,22223,a(flip)),flip(a)]. given #20183 (H,wt=45): 21767 ((x * (1 / y)) \ x) \ T((x * (1 / y)) \ x,T(z,u * (w * (v5 * v6)))) = T(K(y,T(z,u * (w * (v6 \ v5)))),(x * (1 / y)) \ x). [hyper(6550,a,21766,a),flip(a)]. given #20184 (H,wt=43): 22226 ((x * (1 / y)) \ x) \ T((x * (1 / y)) \ x,T(z,u * (w * (v5 * v6)))) = T(K(y,T(z,u * (w * (v6 \ v5)))),(1 / y) \ 1). [hyper(236,a,6365,a(flip),b,21767,a)]. given #20185 (H,wt=39): 22228 ((x * (1 / y)) \ x) \ T((x * (1 / y)) \ x,T(z,u * (w * (v5 * v6)))) = T(K(y,T(z,u * (w * (v6 \ v5)))),y). [para(65(a,1),22226(a,2,2))]. given #20186 (H,wt=37): 22229 ((x * (1 / y)) \ x) \ T((x * (1 / y)) \ x,T(z,u * (w * (v5 * v6)))) = K(y,T(z,u * (w * (v6 \ v5)))). [hyper(236,a,3248,a(flip),b,22228,a)]. given #20187 (H,wt=29): 22230 K((x * (1 / y)) \ x,T(z,u * (w * (v5 * v6)))) = K(y,T(z,u * (w * (v6 \ v5)))). [hyper(4956,a,22229,a)]. given #20188 (H,wt=27): 22231 K((1 / x) \ 1,T(y,z * (u * (w * v5)))) = K(x,T(y,z * (u * (v5 \ w)))). [hyper(6345,a,22230,a)]. given #20189 (H,wt=23): 22232 K(x,T(y,z * (u * (w \ v5)))) = K(x,T(y,z * (u * (v5 * w)))). [hyper(8411,a,22231,a),flip(a)]. given #20190 (H,wt=26): 22233 K(x,T(y,z * (u * (w \ v5)))) != v6 | K(x,T(y,z * (u * (v5 * w)))) = v6. [para(22231(a,1),8411(a,1))]. given #20191 (H,wt=39): 22235 K(x,((y / z) * u) / ((y * (z \ 1)) \ ((y / z) * 1))) = K(x,T((y * (z \ 1)) * u,(y / z) * (y * (1 * z)))). [hyper(236,a,21408,a,b,22232,a(flip)),flip(a)]. given #20192 (H,wt=37): 22236 K(x,((y / z) * u) / ((y * (z \ 1)) \ ((y / z) * 1))) = K(x,T((y * (z \ 1)) * u,(y / z) * (y * z))). [para(11(a,1),22235(a,2,2,2,2,2))]. given #20193 (H,wt=37): 22237 K(x,((y / z) * u) / ((y * (z \ 1)) \ ((y / z) * 1))) = K(x,T((y * (z \ 1)) * u,(y * z) * (y / z))). [hyper(236,a,15991,a,b,22236,a)]. given #20194 (H,wt=37): 22238 K(x,((y / z) * u) / ((y * (z \ 1)) \ ((y / z) * 1))) = K(x,T((y * (z \ 1)) * u,(y * z) * (y * z))). [hyper(236,a,20161,a(flip),b,22237,a)]. given #20195 (H,wt=29): 22239 K(x,((y / z) * u) / ((y * (z \ 1)) \ ((y / z) * 1))) = K(x,(y * (z \ 1)) * u). [hyper(236,a,15985,a(flip),b,22238,a)]. given #20196 (H,wt=27): 22241 K(x,((y / z) * u) / ((y * (z \ 1)) \ (y / z))) = K(x,(y * (z \ 1)) * u). [para(12(a,1),22239(a,1,2,2,2))]. given #20197 (H,wt=25): 22242 K(x,((y / z) * u) / (z * (y \ (y / z)))) = K(x,(y * (z \ 1)) * u). [para(21398(a,1),22241(a,1,2,2))]. given #20198 (H,wt=25): 22243 K(x,(y * (z \ (z / y))) \ ((z / y) * u)) = K(x,(z * (y \ 1)) * u). [para(7050(a,1),22242(a,1,2))]. given #20199 (H,wt=24): 22244 K(x,a(y,z \ 1,z) * ((y / z) * u)) = K(x,(y * (z \ 1)) * u). [hyper(236,a,21475,a(flip),b,22243,a(flip)),flip(a)]. given #20200 (H,wt=45): 21774 ((x * (1 / y)) \ x) \ T((x * (1 / y)) \ x,z * (K(u * w,v5) * v6)) = T(K(y,z * (K(w \ u,v5) * v6)),(x * (1 / y)) \ x). [hyper(6550,a,21773,a),flip(a)]. given #20201 (H,wt=43): 22245 ((x * (1 / y)) \ x) \ T((x * (1 / y)) \ x,z * (K(u * w,v5) * v6)) = T(K(y,z * (K(w \ u,v5) * v6)),(1 / y) \ 1). [hyper(236,a,6365,a(flip),b,21774,a)]. given #20202 (H,wt=39): 22247 ((x * (1 / y)) \ x) \ T((x * (1 / y)) \ x,z * (K(u * w,v5) * v6)) = T(K(y,z * (K(w \ u,v5) * v6)),y). [para(65(a,1),22245(a,2,2))]. given #20203 (H,wt=37): 22248 ((x * (1 / y)) \ x) \ T((x * (1 / y)) \ x,z * (K(u * w,v5) * v6)) = K(y,z * (K(w \ u,v5) * v6)). [hyper(236,a,3248,a(flip),b,22247,a)]. given #20204 (H,wt=29): 22249 K((x * (1 / y)) \ x,z * (K(u * w,v5) * v6)) = K(y,z * (K(w \ u,v5) * v6)). [hyper(4956,a,22248,a)]. given #20205 (H,wt=27): 22250 K((1 / x) \ 1,y * (K(z * u,w) * v5)) = K(x,y * (K(u \ z,w) * v5)). [hyper(6345,a,22249,a)]. given #20206 (H,wt=23): 22251 K(x,y * (K(z \ u,w) * v5)) = K(x,y * (K(u * z,w) * v5)). [hyper(8411,a,22250,a),flip(a)]. given #20207 (H,wt=25): 22252 K(x,y * (K(z * u,w) * (v5 / w))) = K(x,y * (v5 / T(w,u \ z))). [hyper(16728,a,22251,a),flip(a)]. given #20208 (H,wt=26): 22254 K(x,y * (z / T(u,w \ v5))) != v6 | K(x,y * (z / T(u,v5 * w))) = v6. [para(22252(a,1),16728(a,1))]. given #20209 (H,wt=23): 22255 K(x,y * ((z \ u) / T(w,u * z))) = K(x,y * (w \ (z \ u))). [hyper(22254,a,13157,a)]. given #20210 (H,wt=39): 22256 K(x,y * ((T(1 / (z / u),z) \ 1) / T(w,1 * T(1 / (z / u),z)))) = K(x,y * (w \ (T(z,z \ u) / u))). [para(14473(a,1),22255(a,2,2,2,2))]. given #20211 (H,wt=37): 22257 K(x,y * ((T(1 / (z / u),z) \ 1) / T(w,T(1 / (z / u),z)))) = K(x,y * (w \ (T(z,z \ u) / u))). [para(11(a,1),22256(a,1,2,2,2,2))]. given #20212 (H,wt=37): 22258 K(x,y * ((T(1 / (z / u),z) \ 1) / T(w,T((z / u) \ 1,z)))) = K(x,y * (w \ (T(z,z \ u) / u))). [para(3032(a,1),22257(a,1,2,2,2))]. given #20213 (H,wt=33): 22259 K(x,y * ((T(1 / (z / u),z) \ 1) / T(w,z \ u))) = K(x,y * (w \ (T(z,z \ u) / u))). [para(8610(a,1),22258(a,1,2,2,2))]. given #20214 (H,wt=33): 22260 K(x,y * ((T(1 / (z / u),z) \ 1) / T(w,u * z))) = K(x,y * (w \ (T(z,z \ u) / u))). [hyper(22254,a,22259,a)]. given #20215 (H,wt=29): 22261 K(x,y * (T(z / u,z) / T(w,u * z))) = K(x,y * (w \ (T(z,z \ u) / u))). [hyper(236,a,22077,a(flip),b,22260,a(flip)),flip(a)]. given #20216 (H,wt=27): 22262 K(x,y * ((z \ u) / T(w,z * u))) = K(x,y * (w \ (T(u,u \ z) / z))). [hyper(236,a,15814,a(flip),b,22261,a(flip)),flip(a)]. given #20217 (H,wt=23): 22263 K(x,y * (z \ (T(u,u \ w) / w))) = K(x,y * (z \ (w \ u))). [hyper(236,a,21668,a(flip),b,22262,a(flip))]. given #20218 (H,wt=49): 21760 L(x,y,K(z,a(u,w,v5) * v6)) \ L(T(x,K(v6,z) * y),(a(u,w,v5) * y) * v6,K(z,a(u,w,v5) * v6)) = K(x,K(z,a(u,w,v5) * v6) * y). [para(21758(a,1),21563(a,1,2,1))]. given #20219 (H,wt=42): 22264 L(x,y,K(z,a(u,w,v5) * v6)) \ L(T(x,K(v6,z) * y),y,K(z,a(u,w,v5) * v6)) = K(x,K(z,a(u,w,v5) * v6) * y). [para(20320(a,1),21760(a,1,2))]. given #20220 (H,wt=30): 22266 K(x,L(K(y,z) * u,u,K(z,a(w,v5,v6) * y))) = K(x,K(z,a(w,v5,v6) * y) * u). [hyper(11596,a,22264,a)]. given #20221 (H,wt=20): 22267 K(x,K(y,a(z,u,w) * v5) * v6) = K(x,K(v5,y) * v6). [hyper(17774,a,22266,a),flip(a)]. given #20222 (H,wt=20): 22270 K(x,y * K(a(z,u,w) * v5,v6)) = K(x,K(v5,v6) * y). [hyper(16361,a,22267,a)]. given #20223 (H,wt=20): 22271 K(x,y * K(z,a(u,w,v5) * v6)) = K(x,K(v6,z) * y). [hyper(16181,a,22267,a)]. given #20224 (H,wt=24): 22268 K(x,y * (z * K(a(u,w,v5) * v6,v7))) = K(x,K(v6,v7) * (y * z)). [hyper(18180,a,22267,a)]. given #20225 (H,wt=24): 22269 K(x,y * (K(z,a(u,w,v5) * v6) * v7)) = K(x,K(v6,z) * (y * v7)). [hyper(18159,a,22267,a)]. given #20226 (H,wt=27): 22275 K(x,K(y,z) * (y * (a(u,w,v5) \ v6))) = K(x,T(a(u,w,v5) \ y,z) * v6). [hyper(236,a,22132,a(flip),b,22268,a(flip))]. given #20227 (H,wt=25): 22279 K(x,T(a(y,z,u) \ w,v5) * v6) = K(x,T(w,v5) * (a(y,z,u) \ v6)). [para(4906(a,1),22275(a,1,2)),flip(a)]. given #20228 (H,wt=27): 22276 K(x,K(y,z) * ((a(u,w,v5) \ v6) * y)) = K(x,v6 * T(a(u,w,v5) \ y,z)). [hyper(236,a,22131,a(flip),b,22268,a(flip))]. given #20229 (H,wt=25): 22280 K(x,(a(y,z,u) \ w) * T(v5,v6)) = K(x,w * T(a(y,z,u) \ v5,v6)). [hyper(16243,a,22276,a)]. given #20230 (H,wt=25): 22282 K(x,y * (a(z,u,w) \ T(v5,v6))) = K(x,y * T(a(z,u,w) \ v5,v6)). [hyper(22126,a,22280,a)]. given #20231 (H,wt=28): 22273 K(x,(y / T(z,T(a(u,w,v5) \ v6,v7))) \ v8) = K(x,K(v6,z) * ((y / z) \ v8)). [hyper(236,a,21653,a,b,22270,a(flip)),flip(a)]. given #20232 (H,wt=26): 22283 K(x,(y / T(z,T(a(u,w,v5) \ v6,v7))) \ v8) = K(x,(y / T(z,v6)) \ v8). [hyper(236,a,19273,a(flip),b,22273,a)]. given #20233 (H,wt=24): 22284 K(x,(y / T(z,a(u,w,v5) \ v6)) \ v7) = K(x,(y / T(z,v6)) \ v7). [hyper(236,a,19495,a(flip),b,22283,a(flip)),flip(a)]. given #20234 (H,wt=28): 22274 K(x,K(y,z) * (u / z)) = K(x,(u / T(z,a(w,v5,v6) * y)) * K(v7,K(v8,v9))). [hyper(18487,a,22271,a),flip(a)]. given #20235 (H,wt=26): 22286 K(x,(y / T(z,a(u,w,v5) * v6)) * K(v7,K(v8,v9))) = K(x,y / T(z,v6)). [hyper(16242,a,22274,a),flip(a)]. given #20236 (H,wt=20): 22287 K(x,y / T(z,a(u,w,v5) * v6)) = K(x,y / T(z,v6)). [hyper(16672,a,22286,a)]. given #20237 (H,wt=24): 22288 K(x,y * T(z,T(u,w) \ a(v5,v6,v7))) = K(x,y / T(z \ 1,u)). [hyper(236,a,21585,a(flip),b,22287,a(flip)),flip(a)]. given #20238 (H,wt=22): 22289 K(x,y * T(z,T(u,w) \ a(v5,v6,v7))) = K(x,y * T(z,u)). [hyper(236,a,16535,a(flip),b,22288,a)]. given #20239 (H,wt=20): 22290 K(x,y * T(z,u \ a(w,v5,v6))) = K(x,y * T(z,u)). [hyper(19844,a,22289,a)]. given #20240 (H,wt=20): 22291 K(x,y * T(z,a(u,w,v5) * v6)) = K(x,y * T(z,v6)). [hyper(21604,a,22290,a)]. given #20241 (H,wt=28): 22277 K(x,K(y,z) * ((u \ z) * w)) = K(x,(u \ T(z,T(a(v5,v6,v7) * y,v8))) * w). [hyper(236,a,19347,a,b,22269,a(flip))]. given #20242 (H,wt=26): 22292 K(x,(y \ T(z,T(a(u,w,v5) * v6,v7))) * v8) = K(x,(y \ T(z,v6)) * v8). [hyper(236,a,19338,a(flip),b,22277,a(flip))]. given #20243 (H,wt=24): 22293 K(x,(y \ T(z,u * a(w,v5,v6))) * v7) = K(x,(y \ T(z,u)) * v7). [hyper(236,a,19444,a(flip),b,22292,a(flip)),flip(a)]. given #20244 (H,wt=28): 22294 K(x,(T(y,z) \ T(z,u)) * w) = K(x,(T(z,T(u,v5) \ a(v6,v7,v8)) / y) * w). [hyper(236,a,22225,a(flip),b,22293,a(flip))]. given #20245 (H,wt=26): 22296 K(x,(T(y,T(z,u) \ a(w,v5,v6)) / v7) * v8) = K(x,(T(y,z) / v7) * v8). [hyper(236,a,20472,a(flip),b,22294,a(flip))]. given #20246 (H,wt=24): 22297 K(x,(T(y,z \ a(u,w,v5)) / v6) * v7) = K(x,(T(y,z) / v6) * v7). [para(118(a,1),22296(a,1,2,1,1,2,1))]. given #20247 (H,wt=24): 22298 K(x,(T(y,z * a(u,w,v5)) / v6) * v7) = K(x,(T(y,z) / v6) * v7). [hyper(236,a,21750,a(flip),b,22297,a(flip)),flip(a)]. given #20248 (H,wt=29): 22285 K(x,(y / T(z,z \ y)) \ (a(u,w,v5) * v6)) = K(x,((a(u,w,v5) * z) \ y) \ v6). [hyper(236,a,22061,a(flip),b,22284,a(flip))]. given #20249 (H,wt=25): 22301 K(x,((a(y,z,u) * w) \ v5) \ v6) = K(x,(w \ v5) \ (a(y,z,u) * v6)). [para(197(a,1),22285(a,1,2,1)),flip(a)]. given #20250 (H,wt=27): 22302 x * K(x,(y \ z) \ (a(u,w,v5) * v6)) = T(x,((a(u,w,v5) * y) \ z) \ v6). [para(22301(a,1),4887(a,2,2)),flip(a)]. given #20251 (H,wt=25): 22303 T(x,((a(y,z,u) * w) \ v5) \ v6) = T(x,(w \ v5) \ (a(y,z,u) * v6)). [hyper(4890,a,22302,a),flip(a)]. given #20252 (H,wt=32): 22299 K(x,y * (T(z,u * a(w,v5,v6)) / v7)) = K(x,K(y,v7 * z)) * K(x,(T(z,u) / v7) * y). [para(22298(a,1),20875(a,1,2)),flip(a)]. given #20253 (H,wt=24): 22304 K(x,y * (T(z,u * a(w,v5,v6)) / v7)) = K(x,y * (T(z,u) / v7)). [hyper(236,a,20875,a(flip),b,22299,a)]. given #20254 (H,wt=24): 22305 K(x,y * (T(z,a(u,w,v5) * v6) / v7)) = K(x,y * (T(z,v6) / v7)). [hyper(236,a,16824,a,b,22304,a(flip)),flip(a)]. given #20255 (H,wt=33): 22307 K(x,y * (T(z,u) / T(a(w,v5,v6) * u,z))) = K(x,y * (z / T(T(a(w,v5,v6) * u,z),z))). [para(4140(a,1),22305(a,1,2,2)),flip(a)]. given #20256 (H,wt=29): 22308 K(x,y * (T(z,u) / T(a(w,v5,v6) * u,z))) = K(x,y * (z / (a(w,v5,v6) * u))). [hyper(236,a,20464,a(flip),b,22307,a)]. given #20257 (H,wt=27): 22310 K(x,y * ((a(z,u,w) * v5) \ T(v6,v5))) = K(x,y * (v6 / (a(z,u,w) * v5))). [hyper(236,a,16809,a(flip),b,22308,a(flip)),flip(a)]. given #20258 (H,wt=27): 22311 K(x,y * T(a(z,u,w) \ (v5 \ v6),v5)) = K(x,y * (v6 / (a(z,u,w) * v5))). [hyper(236,a,21666,a(flip),b,22310,a(flip)),flip(a)]. given #20259 (H,wt=34): 22306 K(x,y * (a(z,u,w) \ (T(v5,a(v6,v7,v8) * v9) / v10))) = K(x,(a(z,u,w) \ y) * (T(v5,v9) / v10)). [hyper(22126,a,22305,a)]. given #20260 (H,wt=37): 22314 K(x,y * (a(z,u,w) \ (T(v5,a(v6,v7,v8) * v9) / v10))) != v11 | K(x,y * (a(z,u,w) \ (T(v5,v9) / v10))) = v11. [para(22306(a,2),22126(a,1))]. given #20261 (H,wt=38): 22312 K(x,T(a(y,z,u) \ (w \ v5),w) * T(v6,T(a(y,z,u) \ (w \ v5),w))) = K(x,v6 * (v5 / (a(y,z,u) * w))). [para(119(a,2),22311(a,1,2))]. given #20262 (H,wt=36): 22315 K(x,T(a(y,z,u) \ (w \ v5),w) * T(v6,a(y,z,u) \ (v5 / w))) = K(x,v6 * (v5 / (a(y,z,u) * w))). [para(20179(a,1),22312(a,1,2,2))]. given #20263 (H,wt=36): 22316 K(x,T(a(y,z,u) \ (w \ v5),w) * T(v6,a(y,z,u) * (v5 / w))) = K(x,v6 * (v5 / (a(y,z,u) * w))). [hyper(21605,a,22315,a)]. given #20264 (H,wt=40): 22313 K(x,y * T(a(z,u,w) \ (v5 \ T(v6,v6 \ (a(z,u,w) * v5))),v5)) = K(x,y * (v6 / ((v6 \ (a(z,u,w) * v5)) * v6))). [para(4174(a,1),22311(a,2,2,2))]. given #20265 (H,wt=40): 22317 K(x,y * T(a(z,u,w) \ (v5 \ T(v6,a(z,u,w) * (v6 \ v5))),v5)) = K(x,y * (v6 / ((v6 \ (a(z,u,w) * v5)) * v6))). [para(10667(a,1),22313(a,1,2,2,1,2,2))]. given #20266 (H,wt=38): 22318 K(x,y * (T(z,a(u,w,v5) * (z \ v6)) / (a(u,w,v5) * v6))) = K(x,y * (z / ((z \ (a(u,w,v5) * v6)) * z))). [hyper(236,a,22311,a(flip),b,22317,a(flip)),flip(a)]. given #20267 (H,wt=67): 20436 K(x,(K(y,z * (((u * w) \ u) * v5)) * (K(y,K(z,w * v5)) \ 1)) \ v6) * K(x,K(v6,K(y,(((u * w) \ u) * v5) * z))) = K(x,v6 / (K(y,z * (((u * w) \ u) * v5)) * (K(y,K(z,w * v5)) \ 1))). [para(20435(a,1),16594(a,1,2,2,2))]. given #20268 (H,wt=67): 21565 L((K(x \ (y * z),y \ x) * 1) \ 1,K(y \ x,x \ (y * z)) \ 1,(y \ x) * (z / (y \ x))) = a(z,K(y \ x,x \ (y * z)),K(y \ x,x \ (y * z)) \ 1) \ K(y \ x,x \ (y * z)). [para(5260(a,1),18854(a,1,1,1))]. given #20269 (H,wt=67): 22319 K(x,(K(y,z * (((u * w) \ u) * v5)) * (K(y,K(z,w * v5)) * 1)) \ v6) * K(x,K(v6,K(y,(((u * w) \ u) * v5) * z))) = K(x,v6 / (K(y,z * (((u * w) \ u) * v5)) * (K(y,K(z,w * v5)) \ 1))). [para(7964(a,1),20436(a,1,1,2,1,2))]. given #20270 (H,wt=65): 22321 K(x,(K(y,z * (((u * w) \ u) * v5)) * K(y,K(z,w * v5))) \ v6) * K(x,K(v6,K(y,(((u * w) \ u) * v5) * z))) = K(x,v6 / (K(y,z * (((u * w) \ u) * v5)) * (K(y,K(z,w * v5)) \ 1))). [para(12(a,1),22319(a,1,1,2,1,2))]. given #20271 (H,wt=57): 22322 K(x,K(y,(((z * u) \ z) * w) * v5) \ v6) * K(x,K(v6,K(y,(((z * u) \ z) * w) * v5))) = K(x,v6 / (K(y,v5 * (((z * u) \ z) * w)) * (K(y,K(v5,u * w)) \ 1))). [para(20434(a,1),22321(a,1,1,2,1))]. given #20272 (H,wt=57): 22323 K(x,K((((y * z) \ y) * u) * w,v5) * v6) * K(x,K(v6,K(v5,(((y * z) \ y) * u) * w))) = K(x,v6 / (K(v5,w * (((y * z) \ y) * u)) * (K(v5,K(w,z * u)) \ 1))). [para(5260(a,1),22322(a,1,1,2))]. given #20273 (H,wt=67): 22320 L((K((x \ y) * z,x / z) * 1) \ 1,K(z \ x,x \ (z * y)) \ 1,(z \ x) * (y / (z \ x))) = a(y,K(z \ x,x \ (z * y)),K(z \ x,x \ (z * y)) \ 1) \ K(z \ x,x \ (z * y)). [para(20187(a,1),21565(a,1,1,1,1))]. given #20274 (H,wt=65): 22324 L(K((x \ y) * z,x / z) \ 1,K(z \ x,x \ (z * y)) \ 1,(z \ x) * (y / (z \ x))) = a(y,K(z \ x,x \ (z * y)),K(z \ x,x \ (z * y)) \ 1) \ K(z \ x,x \ (z * y)). [para(12(a,1),22320(a,1,1,1))]. given #20275 (H,wt=65): 22325 L(K(x / y,(x \ z) * y) * 1,K(y \ x,x \ (y * z)) \ 1,(y \ x) * (z / (y \ x))) = a(z,K(y \ x,x \ (y * z)),K(y \ x,x \ (y * z)) \ 1) \ K(y \ x,x \ (y * z)). [para(5260(a,1),22324(a,1,1))]. given #20276 (H,wt=65): 22326 L(K(x \ y,x * (y \ z)) * 1,K(x \ y,y \ (x * z)) \ 1,(x \ y) * (z / (x \ y))) = a(z,K(x \ y,y \ (x * z)),K(x \ y,y \ (x * z)) \ 1) \ K(x \ y,y \ (x * z)). [para(13029(a,1),22325(a,1,1,1))]. given #20277 (H,wt=63): 22327 a(x,K(y \ z,z \ (y * x)),K(y \ z,z \ (y * x)) \ 1) \ K(y \ z,z \ (y * x)) = L(K(y \ z,y * (z \ x)),K(y \ z,z \ (y * x)) \ 1,(y \ z) * (x / (y \ z))). [para(12(a,1),22326(a,1,1)),flip(a)]. given #20278 (H,wt=63): 22328 a(x,K(y \ z,z \ (y * x)),K(y \ z,z \ (y * x)) \ 1) \ K(y \ z,z \ (y * x)) = L(K(y \ z,y * (z \ x)),K(z \ (y * x),y \ z) * 1,(y \ z) * (x / (y \ z))). [para(5260(a,1),22327(a,2,2))]. given #20279 (H,wt=63): 22329 a(x,K(y \ z,z \ (y * x)),K(y \ z,z \ (y * x)) \ 1) \ K(y \ z,z \ (y * x)) = L(K(y \ z,y * (z \ x)),K((z \ x) * y,z / y) * 1,(y \ z) * (x / (y \ z))). [para(20187(a,1),22328(a,2,2,1))]. given #20280 (H,wt=61): 22330 a(x,K(y \ z,z \ (y * x)),K(y \ z,z \ (y * x)) \ 1) \ K(y \ z,z \ (y * x)) = L(K(y \ z,y * (z \ x)),K((z \ x) * y,z / y),(y \ z) * (x / (y \ z))). [para(12(a,1),22329(a,2,2))]. given #20281 (H,wt=42): 22331 a(x,K(y \ z,z \ (y * x)),K(y \ z,z \ (y * x)) \ 1) \ K(y \ z,z \ (y * x)) = K(y \ z,y * (z \ x)). [hyper(236,a,19127,a(flip),b,22330,a)]. given #20282 (H,wt=42): 22333 a(x,K(y \ z,z \ (y * x)),K(z \ (y * x),y \ z) * 1) \ K(y \ z,z \ (y * x)) = K(y \ z,y * (z \ x)). [para(5260(a,1),22331(a,1,1,3))]. given #20283 (H,wt=42): 22334 a(x,K(y \ z,z \ (y * x)),K((z \ x) * y,z / y) * 1) \ K(y \ z,z \ (y * x)) = K(y \ z,y * (z \ x)). [para(20187(a,1),22333(a,1,1,3,1))]. given #20284 (H,wt=40): 22335 a(x,K(y \ z,z \ (y * x)),K((z \ x) * y,z / y)) \ K(y \ z,z \ (y * x)) = K(y \ z,y * (z \ x)). [para(12(a,1),22334(a,1,1,3))]. given #20285 (H,wt=21): 22336 1 \ K(x \ y,y \ (x * z)) = K(x \ y,x * (y \ z)). [para(19131(a,1),22335(a,1,1))]. given #20286 (H,wt=19): 22337 K(x \ y,y \ (x * z)) = K(x \ y,x * (y \ z)). [hyper(308,a,22336,a)]. given #20287 (H,wt=21): 22339 x * K(y \ z,y * (z \ x)) = (y \ z) * (x / (y \ z)). [para(22337(a,1),10749(a,1,2))]. given #20288 (H,wt=23): 22340 (T(x,y) / y) * (z / (T(x,y) / y)) = (y \ x) * (z / (y \ x)). [hyper(236,a,19914,a,b,22339,a(flip)),flip(a)]. given #20289 (H,wt=27): 22341 ((x \ 1) \ y) * (z / ((x \ 1) \ y)) = z * K((x \ 1) \ y,x \ (y \ z)). [para(14126(a,1),22339(a,1,2)),flip(a)]. given #20290 (H,wt=25): 22343 ((x \ 1) \ y) * (z / ((x \ 1) \ y)) = z * K(x * y,x \ (y \ z)). [para(14050(a,1),22341(a,2,2))]. given #20291 (H,wt=23): 22344 ((x \ 1) \ y) * (z / ((x \ 1) \ y)) = (x * y) * (z / (x * y)). [hyper(236,a,14646,a(flip),b,22343,a)]. given #20292 (H,wt=26): 22345 ((x \ 1) \ y) * (z / ((x \ 1) \ y)) != u | (x * y) * (z / (x * y)) = u. [para(22343(a,2),14647(a,1))]. given #20293 (H,wt=29): 22342 (T(x * y,y) / y) * (z / (T(x * y,y) / y)) = T(x,y) * (z / (y \ (x * y))). [para(32(a,2),22340(a,2,1))]. given #20294 (H,wt=29): 22347 (x \ T(x * y,x)) * (z / (T(y * x,x) / x)) = T(y,x) * (z / (x \ (y * x))). [para(1356(a,1),22342(a,1,1))]. given #20295 (H,wt=29): 22348 (x \ T(x * y,x)) * (z / (x \ T(x * y,x))) = T(y,x) * (z / (x \ (y * x))). [para(1356(a,1),22347(a,1,2,2))]. given #20296 (H,wt=25): 22349 ((x * y) / x) * (z / ((x * y) / x)) = T(y,x) * (z / (x \ (y * x))). [hyper(19673,a,22348,a)]. given #20297 (H,wt=23): 22350 ((x * y) / x) * (z / ((x * y) / x)) = T(y,x) * (z / T(y,x)). [para(32(a,2),22349(a,2,2,2))]. given #20298 (H,wt=41): 22346 (((x \ (x / y)) \ 1) \ x) * (z / (((x \ (x / y)) \ 1) \ x)) = ((x \ (x / y)) * x) * (z / ((x / y) * K(y \ 1,x))). [para(5151(a,1),22344(a,2,2,2))]. given #20299 (H,wt=37): 22352 ((x \ (x / y)) * x) * (z / ((x \ (x / y)) * x)) = ((x \ (x / y)) * x) * (z / ((x / y) * K(y \ 1,x))). [hyper(22345,a,22346,a)]. given #20300 (H,wt=43): 22351 ((x * ((x \ y) * T(x,y))) / x) * (z / ((x * ((x \ y) * T(x,y))) / x)) = ((x \ y) * x) * (z / T((x \ y) * T(x,y),x)). [para(4252(a,1),22350(a,2,1))]. given #20301 (H,wt=42): 22353 ((L(x,x \ y,x) * y) / x) * (z / ((x * ((x \ y) * T(x,y))) / x)) = ((x \ y) * x) * (z / T((x \ y) * T(x,y),x)). [para(719(a,1),22351(a,1,1,1))]. given #20302 (H,wt=42): 22354 ((x * y) / R(x,x \ y,x)) * (z / ((x * ((x \ y) * T(x,y))) / x)) = ((x \ y) * x) * (z / T((x \ y) * T(x,y),x)). [para(12976(a,1),22353(a,1,1))]. given #20303 (H,wt=41): 22355 ((x * y) / R(x,x \ y,x)) * (z / ((L(x,x \ y,x) * y) / x)) = ((x \ y) * x) * (z / T((x \ y) * T(x,y),x)). [para(719(a,1),22354(a,1,2,2,1))]. given #20304 (H,wt=41): 22356 ((x * y) / R(x,x \ y,x)) * (z / ((x * y) / R(x,x \ y,x))) = ((x \ y) * x) * (z / T((x \ y) * T(x,y),x)). [para(12976(a,1),22355(a,1,2,2))]. given #20305 (H,wt=31): 22357 ((x \ y) * x) * (z / T((x \ y) * T(x,y),x)) = ((x * y) / x) * (z / ((x * y) / x)). [hyper(236,a,13171,a(flip),b,22356,a(flip))]. given #20306 (H,wt=27): 22359 ((x \ y) * x) * (z / T((x \ y) * T(x,y),x)) = T(y,x) * (z / T(y,x)). [hyper(236,a,22350,a(flip),b,22357,a)]. given #20307 (H,wt=23): 22360 ((x \ y) * x) * (z / ((x \ y) * x)) = T(y,x) * (z / T(y,x)). [para(4252(a,1),22359(a,1,2,2))]. given #20308 (H,wt=33): 22361 ((x \ (x / y)) * x) * (z / ((x / y) * K(y \ 1,x))) = T(x / y,x) * (z / T(x / y,x)). [hyper(236,a,22352,a(flip),b,22360,a(flip)),flip(a)]. given #20309 (H,wt=29): 22362 ((x \ (x / y)) * x) * (z / ((x / y) * K(y \ 1,x))) = (y \ x) * (z / (y \ x)). [hyper(13361,a,22361,a(flip)),flip(a)]. given #20310 (H,wt=29): 22363 ((x \ (x / y)) * x) * ((z / (x / y)) * K(x,y \ 1)) = (y \ x) * (z / (y \ x)). [para(10465(a,1),22362(a,1,2))]. given #20311 (H,wt=23): 22364 T((x / y) * (z / (x / y)),K(x,y)) = (y \ x) * (z / (y \ x)). [hyper(21199,a,22363,a)]. given #20312 (H,wt=21): 22365 x * K(y \ z,(x / z) * y) = (y \ z) * (x / (y \ z)). [hyper(236,a,20687,a(flip),b,22364,a(flip)),flip(a)]. given #20313 (H,wt=24): 22366 L(x \ y,x,z / y) * ((z / y) * x) = (x \ y) * (z / (x \ y)). [hyper(236,a,15026,a,b,22365,a(flip)),flip(a)]. given #20314 (H,wt=23): 22367 L(x,y,T(z,(z / u) * w)) = L(x,y,(w \ u) * (z / (w \ u))). [para(22366(a,1),13512(a,1,3)),flip(a)]. given #20315 (H,wt=23): 22368 L(x,y,T(z,(u \ z) * w)) = L(x,y,(w \ u) * (z / (w \ u))). [para(10147(a,1),22367(a,1,3))]. given #20316 (H,wt=21): 22369 L(x,y,(z \ u) * (w / (z \ u))) = L(x,y,T(w,u \ z)). [hyper(236,a,14875,a(flip),b,22368,a(flip))]. given #20317 (H,wt=23): 22370 L(a(x,y,y \ 1),z,T(u,z \ x)) = R(a(x,y,y \ 1),z,u). [hyper(236,a,22207,a(flip),b,22369,a(flip))]. given #20318 (H,wt=19): 22371 R(a(x,y,y \ 1),z,u) = L(a(x,y,y \ 1),z,u). [hyper(236,a,21894,a(flip),b,22370,a(flip))]. given #20319 (H,wt=24): 22373 (x * y) * L(a(z,u,u \ 1),y,x) = (a(z,u,u \ 1) * x) * y. [para(22371(a,1),18931(a,1,2))]. given #20320 (H,wt=21): 22375 (a(x,y,y \ 1) * z) * u = z * (u * a(x,y,y \ 1)). [hyper(219,a,22373,a),flip(a)]. given #20321 (H,wt=25): 22379 ((x * a(y,z,z \ 1)) * u) \ (u * (x * a(y,z,z \ 1))) = K(u,x). [para(22375(a,1),18862(a,1,2))]. given #20322 (H,wt=14): 22380 K(x,y * a(z,u,u \ 1)) = K(x,y). [hyper(285,a,22379,a)]. given #20323 (H,wt=14): 22383 K(x,a(y,z,z \ 1) * u) = K(x,u). [hyper(17724,a,22380,a)]. given #20324 (H,wt=14): 22389 K(x,a(y,z \ 1,z) * u) = K(x,u). [hyper(236,a,21062,a(flip),b,22380,a(flip)),flip(a)]. given #20325 (H,wt=16): 22386 K(x,y \ L(z,u,u \ 1)) = K(x,y \ z). [hyper(236,a,22139,a(flip),b,22380,a(flip)),flip(a)]. given #20326 (H,wt=17): 22387 K(x,y / ((z \ 1) \ u)) = K(x,y / (z * u)). [hyper(236,a,21536,a(flip),b,22380,a(flip)),flip(a)]. given #20327 (H,wt=17): 22388 K(x,((y \ 1) \ z) \ u) = K(x,(y * z) \ u). [hyper(236,a,21535,a(flip),b,22380,a(flip)),flip(a)]. given #20328 (H,wt=17): 22402 K(x,(y * (z \ 1)) * u) = K(x,(y / z) * u). [hyper(236,a,22244,a(flip),b,22389,a(flip)),flip(a)]. given #20329 (H,wt=17): 22403 K(x,(y * (z \ 1)) \ u) = K(x,(y / z) \ u). [hyper(20782,a,22386,a),flip(a)]. given #20330 (H,wt=17): 22409 K(x,(y / (1 / z)) * u) = K(x,(y * z) * u). [para(65(a,1),22402(a,1,2,1,2)),flip(a)]. given #20331 (H,wt=17): 22411 K(x,(y / (z \ 1)) * u) = K(x,(y * z) * u). [hyper(236,a,5487,a(flip),b,22409,a(flip)),flip(a)]. given #20332 (H,wt=18): 22381 K(x,y * ((z * L(u,w,u)) \ z)) = K(x,y / u). [hyper(21546,a,22380,a),flip(a)]. given #20333 (H,wt=15): 22412 K(x,y * ((z * u) \ z)) = K(x,y / u). [hyper(236,a,13168,a(flip),b,22381,a(flip)),flip(a)]. given #20334 (H,wt=15): 22413 K(x,y / (z \ u)) = K(x,y * (u \ z)). [para(14(a,1),22412(a,1,2,2,1)),flip(a)]. given #20335 (H,wt=18): 22382 K(x,((y * L(z,u,z)) \ y) * w) = K(x,z \ w). [hyper(21541,a,22380,a),flip(a)]. given #20336 (H,wt=15): 22415 K(x,((y * z) \ y) * u) = K(x,z \ u). [hyper(236,a,22092,a(flip),b,22382,a(flip)),flip(a)]. given #20337 (H,wt=15): 22418 K(x,(y \ z) \ u) = K(x,(z \ y) * u). [para(14(a,1),22415(a,1,2,1,1)),flip(a)]. given #20338 (H,wt=20): 22417 K(x,L(y / z,u,z \ y) \ w) = K(x,(z / y) * w). [hyper(236,a,22096,a(flip),b,22415,a(flip))]. given #20339 (H,wt=15): 22424 K(x,(y / z) \ u) = K(x,(z / y) * u). [hyper(236,a,13048,a(flip),b,22417,a(flip)),flip(a)]. given #20340 (H,wt=17): 22426 K(x,(y * (z \ 1)) \ u) = K(x,(z / y) * u). [hyper(236,a,22403,a,b,22424,a(flip)),flip(a)]. given #20341 (H,wt=18): 22428 K(x,(y / z) \ x) != u | K(x,x * (z / y)) = u. [para(22424(a,2),8500(a,1))]. given #20342 (H,wt=21): 22396 K(x,y / (((z * u) \ z) \ w)) = K(x,y / ((u \ 1) \ w)). [hyper(236,a,22153,a(flip),b,22383,a(flip))]. given #20343 (H,wt=19): 22429 K(x,y / (((z * u) \ z) \ w)) = K(x,y / (u * w)). [hyper(236,a,22387,a(flip),b,22396,a)]. given #20344 (H,wt=17): 22432 K(x,y / ((z \ 1) * u)) = K(x,y / (z \ u)). [para(125(a,1),22429(a,1,2,2,1)),flip(a)]. given #20345 (H,wt=19): 22431 K(x,y / ((z \ u) \ w)) = K(x,y / ((u \ z) * w)). [para(14(a,1),22429(a,1,2,2,1,1))]. given #20346 (H,wt=19): 22434 K(x,y / ((z \ u) * w)) = K(x,y * (w \ (u \ z))). [hyper(236,a,22413,a(flip),b,22431,a(flip))]. given #20347 (H,wt=20): 22433 K(x,((y / z) * u) / (z \ u)) = K(x,L(y,z \ 1,u)). [hyper(15480,a,22432,a),flip(a)]. given #20348 (H,wt=20): 22436 K(x,((y / z) * u) * (u \ z)) = K(x,L(y,z \ 1,u)). [hyper(236,a,22413,a(flip),b,22433,a(flip)),flip(a)]. given #20349 (H,wt=20): 22437 K(x,(y / z) * (z * (y \ u))) = K(x,L(u,y \ 1,z)). [hyper(236,a,19665,a(flip),b,22436,a(flip)),flip(a)]. given #20350 (H,wt=22): 22397 K(x,(L(y \ 1,y,z) * u) \ w) = K(x,((y \ 1) * u) \ w). [hyper(236,a,22020,a(flip),b,22383,a(flip)),flip(a)]. given #20351 (H,wt=22): 22421 K(x,(y \ z) \ K(u,w)) != v5 | K(x,K(u,w) * (z \ y)) = v5. [para(22418(a,2),16182(a,1))]. given #20352 (H,wt=22): 22435 K(x,(y \ (z * u)) * (z \ (T(u,z) \ y))) = a(y,u,K(x,z)). [hyper(236,a,22048,a(flip),b,22434,a(flip))]. given #20353 (H,wt=24): 22419 K(x,(y \ (z * u)) * (z \ (T(u,z) \ y))) = a(u,z,K(x,z \ y)). [hyper(20401,a,22418,a),flip(a)]. given #20354 (H,wt=15): 22439 a(x,y,K(z,y \ u)) = a(u,x,K(z,y)). [hyper(236,a,22435,a(flip),b,22419,a(flip))]. given #20355 (H,wt=15): 22440 a(x,y,K(y \ z,u)) = a(y,x,K(u,z)). [hyper(14601,a,22439,a)]. given #20356 (H,wt=15): 22441 a(x,y,K(y \ z,u)) = a(z,x,K(y,u)). [hyper(236,a,13990,a(flip),b,22440,a)]. given #20357 (H,wt=15): 22443 a(x,y,K(z,y \ u)) = a(u,z,K(y,x)). [hyper(14287,a,22441,a)]. given #20358 (H,wt=18): 22444 a(x,y,K(z,u)) != w | a(y,z,K(z \ x,u)) = w. [para(22443(a,1),14073(a,1))]. given #20359 (H,wt=23): 22442 x * a(y,z,K(x \ u,z \ u)) = x * a(u,u \ x,K(y,z)). [para(22440(a,1),22030(a,1,2)),flip(a)]. given #20360 (H,wt=21): 22446 x * a(y,z,K(x \ u,z \ u)) = x * a(u,x,K(y,z)). [para(14412(a,1),22442(a,2,2))]. given #20361 (H,wt=19): 22447 x * a(y,z,K(x \ y,u)) = x * a(y,x,K(z,u)). [para(22439(a,1),22446(a,1,2))]. given #20362 (H,wt=17): 22448 x * a(y,x,K(z,u)) = x * a(x,z,K(y,u)). [para(14379(a,1),22447(a,1,2)),flip(a)]. given #20363 (H,wt=13): 22449 a(x,y,K(z,u)) = a(z,x,K(y,u)). [hyper(317,a,22448,a)]. given #20364 (H,wt=15): 22452 a(x * y,z,K(u,y)) = a(z,u,K(x,y)). [hyper(14386,a,22449,a),flip(a)]. given #20365 (H,wt=15): 22453 a(x,y,K(y \ z,u)) = a(x,y,K(z,u)). [hyper(236,a,22441,a,b,22449,a),flip(a)]. given #20366 (H,wt=17): 22450 T(x,a(y,z,u) \ x) = x * a(y,x,K(z,u)). [hyper(236,a,14037,a,b,22448,a),flip(a)]. given #20367 (H,wt=17): 22454 K(x,y) * K(y,L(x,z,u)) = a(z,u,K(y,x)). [hyper(236,a,13999,a,b,22449,a),flip(a)]. given #20368 (H,wt=17): 22456 x * a(y,z,K(u,w)) = x * a(w,y,K(u,z)). [para(22449(a,2),14009(a,1,2))]. given #20369 (H,wt=15): 22462 x * a(y,x,K(z,u)) = L(x,u,K(z,y)). [hyper(14709,a,22456,a),flip(a)]. given #20370 (H,wt=15): 22465 T(x,a(y,z,u) \ x) = L(x,u,K(z,y)). [hyper(236,a,22450,a,b,22462,a(flip)),flip(a)]. given #20371 (H,wt=13): 22466 L(x,y,K(z,u)) = L(x,u,K(y,z)). [hyper(14750,a,22465,a)]. given #20372 (H,wt=13): 22470 L(x,y,K(z,u)) = T(x,a(y,z,u)). [hyper(14688,a,22466,a),flip(a)]. given #20373 (H,wt=15): 22471 L(x,y \ 1,K(z,u)) = L(x,u,K(z,y)). [hyper(236,a,14714,a(flip),b,22466,a)]. given #20374 (H,wt=15): 22472 L(T(x,y),z,K(y,u)) = T(x,L(y,u,z)). [hyper(236,a,14677,a(flip),b,22466,a)]. given #20375 (H,wt=15): 22473 L(x,y,K(y \ z,u)) = L(x,u,K(y,z)). [hyper(236,a,13501,a(flip),b,22466,a)]. given #20376 (H,wt=16): 22469 L(x,y,K(z,u)) != w | L(x,z,K(u,y)) = w. [para(22465(a,1),14750(a,1))]. given #20377 (H,wt=16): 22475 L(x,L(y,z,u),K(w,v5)) = T(x,a(y,w,v5)). [hyper(21918,a,22470,a(flip)),flip(a)]. given #20378 (H,wt=16): 22481 L(x,L(y,z,u),K(w,v5)) = L(x,y,K(w,v5)). [hyper(236,a,22470,a,b,22475,a)]. given #20379 (H,wt=14): 22482 L(x,L(y,z,u),K(y,w)) != v5 | v5 = x. [para(22481(a,2),3980(a,1))]. given #20380 (H,wt=18): 22451 a(a(x,y,z) \ u,y,K(z,x)) = a(z,u,K(y,x)). [hyper(14829,a,22449,a)]. given #20381 (H,wt=18): 22464 x * a(y,x,K(z,u)) != w | L(x,u,K(z,y)) = w. [para(22456(a,1),14709(a,1))]. given #20382 (H,wt=18): 22467 (a(x,y,z) \ u) * a(x,y,z) = L(u,x,K(y,z)). [hyper(236,a,14927,a(flip),b,22465,a(flip)),flip(a)]. given #20383 (H,wt=18): 22468 a(x,y,z) \ L(u,z,K(y,x)) = u / a(x,y,z). [hyper(72,a,22465,a(flip),b,13906,a(flip))]. given #20384 (H,wt=18): 22474 L(x,y,K(z,u)) / a(z,u,y) = a(z,u,y) \ x. [hyper(74,a,22466,a,b,14928,a)]. given #20385 (H,wt=19): 22459 K(x,L(y,z,z \ u)) = K(x,y) * a(x,z,K(u,y)). [para(22453(a,1),14017(a,1,2)),flip(a)]. given #20386 (H,wt=15): 22486 K(x,L(y,z,z \ u)) = K(x,L(y,z,u)). [hyper(236,a,14017,a(flip),b,22459,a)]. given #20387 (H,wt=15): 22488 K(x,L(y,z,u \ z)) = K(x,L(y,u,z)). [hyper(14595,a,22486,a)]. given #20388 (H,wt=17): 22489 K(x,L(y,z,u \ 1)) = K(x,L(y,z,u \ z)). [hyper(236,a,17819,a(flip),b,22486,a(flip)),flip(a)]. given #20389 (H,wt=15): 22493 K(x,L(y,z,u \ 1)) = K(x,L(y,u,z)). [hyper(236,a,22488,a(flip),b,22489,a)]. given #20390 (H,wt=17): 22490 T(x,L(y,z,z \ u)) = x * K(x,L(y,z,u)). [para(22486(a,1),4887(a,2,2))]. given #20391 (H,wt=17): 22492 T(x,L(y,z,u \ z)) = x * K(x,L(y,u,z)). [para(22488(a,1),4887(a,2,2))]. given #20392 (H,wt=15): 22496 T(x,L(y,z,u \ z)) = T(x,L(y,u,z)). [hyper(236,a,4887,a,b,22492,a)]. given #20393 (H,wt=18): 22487 K(x,L(y,z,z \ u)) != w | K(x,L(y,z,u)) = w. [para(22459(a,2),14022(a,1))]. given #20394 (H,wt=18): 22494 K(x,L((y * z) \ u,y,z)) = K(x,z \ (y \ u)). [hyper(236,a,18805,a(flip),b,22493,a(flip))]. given #20395 (H,wt=18): 22495 T(x,L(y,z,z \ u)) != w | T(x,L(y,z,u)) = w. [para(22490(a,2),4890(a,1))]. given #20396 (H,wt=18): 22497 T(x,L(y,z,u \ z)) != w | T(x,L(y,u,z)) = w. [para(22492(a,2),4890(a,1))]. given #20397 (H,wt=19): 22460 T(x,y) * a(z,u,K(x,y)) = x * K(x,L(y,z,u)). [para(22454(a,1),5207(a,1,2))]. given #20398 (H,wt=17): 22499 T(x,y) * a(z,u,K(x,y)) = T(x,L(y,z,u)). [hyper(236,a,4887,a,b,22460,a)]. given #20399 (H,wt=19): 22463 (x \ y) * a(z,u,K(y,w)) = x \ L(y,w,K(z,u)). [hyper(236,a,14773,a(flip),b,22456,a(flip))]. given #20400 (H,wt=19): 22480 T(x,L(y,z \ K(u,w),v5)) = L(T(x,y),v5,K(z,y)). [hyper(236,a,19957,a(flip),b,22472,a(flip))]. given #20401 (H,wt=17): 22501 T(x,L(y,z \ K(u,w),v5)) = T(x,L(y,v5,z)). [hyper(236,a,14677,a(flip),b,22480,a)]. given #20402 (H,wt=15): 22502 T(x,L(y,z \ 1,u)) = T(x,L(y,u,z)). [para(127(a,1),22501(a,1,2,2,2))]. given #20403 (H,wt=19): 22500 a(x,y,K(z,u)) * (w \ z) = w \ L(z,u,K(x,y)). [hyper(17778,a,22463,a)]. given #20404 (H,wt=20): 22457 a(x,y,z) \ a(y,x,K(z,u)) = T(a(x,y,z),u) \ 1. [para(22449(a,2),14071(a,1,2))]. given #20405 (H,wt=21): 22461 (x \ K(y,z)) * K(z,L(y,u,w)) = x \ a(u,w,K(z,y)). [para(22454(a,1),19148(a,1,2)),flip(a)]. given #20406 (H,wt=21): 22476 L(a(x,y,z) \ u,z,K(y,x)) != w | u / a(x,y,z) = w. [para(22470(a,2),14216(a,1))]. given #20407 (H,wt=21): 22479 T(x,L(y,z \ T(u,w),v5)) = L(T(x,y),v5,K(u \ z,y)). [hyper(236,a,19959,a(flip),b,22472,a(flip))]. given #20408 (H,wt=19): 22505 T(x,L(y,z \ T(u,w),v5)) = T(x,L(y,v5,u \ z)). [hyper(236,a,14677,a(flip),b,22479,a)]. given #20409 (H,wt=21): 22484 L(x,y,K(z,u)) / a(y,z,u) != w | a(y,z,u) \ x = w. [para(22467(a,1),296(a,1,1)),flip(b)]. given #20410 (H,wt=21): 22485 ((x * y) * z) / a(y,x,z) = a(y,x,z) \ ((x * y) * z). [para(14765(a,1),22474(a,1,1))]. given #20411 (H,wt=18): 22507 a(x,y,z) \ ((y * x) * z) = x * (T(y,x) * z). [hyper(14782,a,22485,a),flip(a)]. given #20412 (H,wt=22): 22503 T(x,L((y / z) / (u \ 1),z,u)) = T(x,y / ((u \ 1) * z)). [hyper(236,a,15346,a(flip),b,22502,a(flip))]. given #20413 (H,wt=22): 22504 T(a(x,y,z),T(u,w)) \ z = a(x,y,z) \ L(z,x,K(u,y)). [hyper(17,a,17839,a(flip),b,22500,a)]. given #20414 (H,wt=20): 22510 a(x,y,z) \ L(z,x,K(u,y)) = T(a(x,y,z),u) \ z. [para(118(a,1),22504(a,1,1,2)),flip(a)]. given #20415 (H,wt=22): 22506 x / a(y,z,L(x,u,w)) != v5 | a(y,z,L(x,u,w)) \ x = v5. [para(10421(a,1),22484(a,1,1))]. given #20416 (H,wt=22): 22508 K(x,a(y,z,u) \ u) = K(x,(z * y) \ (y * (T(z,y) * u))). [para(22507(a,1),21958(a,1,2,2)),flip(a)]. given #20417 (H,wt=15): 22511 K(x,a(y,z,u) \ u) = K(x,L(u,z,y)). [para(11118(a,2),22508(a,2,2))]. given #20418 (H,wt=19): 22512 K(a(x,y,z) \ z,u) = w / (K(u,L(z,y,x)) * w). [para(22511(a,1),5266(a,1,2,1)),flip(a)]. given #20419 (H,wt=15): 22513 K(a(x,y,z) \ z,u) = K(L(z,y,x),u). [hyper(236,a,17975,a(flip),b,22512,a)]. given #20420 (H,wt=15): 22514 K(a(x,y,z) \ z,u) = K(z,L(u,y,x)). [hyper(236,a,11533,a(flip),b,22513,a)]. given #20421 (H,wt=24): 22420 K(x,(((y \ z) \ 1) \ u) * (u \ T(y,z))) = K(x,L(z,y,u \ 1)). [hyper(236,a,20414,a(flip),b,22418,a(flip))]. given #20422 (H,wt=24): 22491 K(x,L((y * K(z,u)) \ w,y,u)) = K(x,u \ ((T(u,z) / y) * w)). [hyper(236,a,19941,a(flip),b,22488,a(flip))]. given #20423 (H,wt=25): 22414 K(x,(y / (z * u)) * (z \ (u * z))) = K(x,(y * (z \ (u \ 1))) * u). [hyper(236,a,20756,a(flip),b,22413,a(flip))]. given #20424 (H,wt=23): 22515 K(x,(y / (z * u)) * T(u,z)) = K(x,(y * (z \ (u \ 1))) * u). [para(32(a,2),22414(a,1,2,2))]. given #20425 (H,wt=21): 22516 K(x,(y * (z \ (u \ 1))) * u) = K(x,(y / (u * z)) * u). [hyper(236,a,15752,a(flip),b,22515,a(flip))]. given #20426 (H,wt=22): 22517 K(x,((y * z) / (u * z)) * u) = K(x,L(y,z,z \ (u \ 1))). [hyper(15392,a,22516,a),flip(a)]. given #20427 (H,wt=25): 22509 T(x,(y / z) / (a(u,w,v5) \ 1)) = T(x,y / ((a(u,w,v5) \ 1) * z)). [hyper(21880,a,22503,a)]. given #20428 (H,wt=23): 22518 T(x,y / ((a(z,u,w) \ 1) * v5)) = T(x,(y / v5) * a(z,u,w)). [hyper(236,a,14250,a(flip),b,22509,a(flip))]. given #20429 (H,wt=26): 22477 L(x,y,K(z,u)) * ((x * a(y,z,u)) \ x) = x * T(a(y,z,u) \ 1,x). [para(22470(a,2),18773(a,1,1))]. given #20430 (H,wt=24): 22520 L(x,y,K(z,u)) * ((x * a(y,z,u)) \ x) = (a(y,z,u) \ 1) * x. [hyper(236,a,119,a(flip),b,22477,a)]. given #20431 (H,wt=26): 22478 x \ L(x * y,z,K(u,x)) = K(u,z) * ((1 / x) * ((K(u,z) / x) \ y)). [para(22471(a,1),20847(a,1,2))]. given #20432 (H,wt=26): 22521 L(x \ (x * y),z,K(u,x)) = K(u,z) * ((1 / x) * ((K(u,z) / x) \ y)). [hyper(14813,a,22478,a)]. given #20433 (H,wt=22): 22522 K(x,y) * ((1 / z) * ((K(x,y) / z) \ u)) = L(u,y,K(x,z)). [para(13(a,1),22521(a,1,1)),flip(a)]. given #20434 (H,wt=27): 22407 K(x,a(y,z,z \ 1) * ((z \ u) \ w)) = K(x,(L(z \ 1,z,y) * u) \ w). [hyper(236,a,22035,a(flip),b,22388,a(flip)),flip(a)]. given #20435 (H,wt=24): 22523 K(x,a(y,z,z \ 1) * ((z \ u) \ w)) = K(x,((z \ 1) * u) \ w). [hyper(236,a,22397,a(flip),b,22407,a)]. given #20436 (H,wt=17): 22524 K(x,((y \ 1) * z) \ u) = K(x,(y \ z) \ u). [hyper(13067,a,22523,a),flip(a)]. given #20437 (H,wt=17): 22527 K(x,((y \ 1) * z) \ u) = K(x,(z \ y) * u). [hyper(236,a,22418,a(flip),b,22524,a)]. given #20438 (H,wt=19): 22528 K(x,(y / (z \ 1)) * u) = K(x,((y \ 1) \ z) * u). [hyper(236,a,22426,a(flip),b,22527,a(flip)),flip(a)]. given #20439 (H,wt=17): 22529 K(x,((y \ 1) \ z) * u) = K(x,(y * z) * u). [hyper(236,a,22411,a(flip),b,22528,a(flip))]. given #20440 (H,wt=22): 22530 K(x,((y \ z) * u) * (u \ T(y,z))) = K(x,L(z,y,u \ 1)). [hyper(236,a,22420,a(flip),b,22529,a(flip))]. given #20441 (H,wt=20): 22531 K(x,(y / z) * (z * (y \ u))) = K(x,L(u,y,z \ 1)). [hyper(236,a,21807,a(flip),b,22530,a(flip)),flip(a)]. given #20442 (H,wt=17): 22532 K(x,L(y,z \ 1,u)) = K(x,L(y,z,u \ 1)). [hyper(236,a,22437,a(flip),b,22531,a(flip)),flip(a)]. given #20443 (H,wt=24): 22534 K(x,L(y,z,(z * u) \ 1)) * u = (1 / z) * ((K(y,x) / z) \ u). [para(22532(a,1),19881(a,1,1))]. given #20444 (H,wt=24): 22535 K(x,L(y,z,z \ (u \ 1))) * u = (1 / z) * ((K(y,x) / z) \ u). [para(21956(a,1),22534(a,1,1))]. given #20445 (H,wt=27): 22422 K(x,(y \ (z * u)) * (z \ (T(u,z) \ y))) != w | a(u,z,K(x,z \ y)) = w. [para(22418(a,1),20401(a,1))]. given #20446 (H,wt=27): 22445 L(L(x,y,z),u,K(u \ w,v5)) * v6 = L(x,y,z) * (v6 * a(w,x,K(u,v5))). [para(22443(a,1),21916(a,1,2,2)),flip(a)]. given #20447 (H,wt=25): 22536 L(x,y,z) * (u * a(w,x,K(v5,v6))) = L(L(x,y,z),v6,K(v5,w)) * u. [para(22473(a,1),22445(a,1,1)),flip(a)]. given #20448 (H,wt=28): 22519 T(x,y / L(z * (a(u,w,v5) \ 1),w,K(v5,u))) = T(x,(y / z) * a(u,w,v5)). [hyper(236,a,19686,a,b,22518,a(flip)),flip(a)]. given #20449 (H,wt=23): 22537 T(x,y / (z * (a(u,w,v5) \ 1))) = T(x,(y / z) * a(u,w,v5)). [hyper(18151,a,22519,a)]. given #20450 (H,wt=30): 22483 L(x,y,K(z,u)) * a(w,x,K(v5,v6)) = (a(v6,v5,w) \ L(x,y,K(z,u))) * a(v6,v5,w). [para(22451(a,1),18312(a,1,2))]. given #20451 (H,wt=25): 22539 L(x,y,K(z,u)) * a(y,x,K(z,u)) = (x / a(u,z,y)) * a(u,z,y). [para(22468(a,1),22483(a,2,1))]. given #20452 (H,wt=15): 22540 L(x,y,K(z,u)) * a(y,x,K(z,u)) = x. [hyper(236,a,16,a(flip),b,22539,a)]. given #20453 (H,wt=32): 22498 K(x,L((y * K(z,u)) \ w,y / u,u * K(z,u))) = K(x,(u * K(z,u)) \ ((y / u) \ w)). [para(7740(a,1),22494(a,1,2,1,1))]. given #20454 (H,wt=32): 22542 K(x,L((y * K(z,u)) \ w,y / u,T(u,z \ u))) = K(x,(u * K(z,u)) \ ((y / u) \ w)). [para(14924(a,2),22498(a,1,2))]. given #20455 (H,wt=32): 22543 K(x,L((y * K(z,u)) \ w,u \ y,T(u,z \ u))) = K(x,(u * K(z,u)) \ ((y / u) \ w)). [hyper(20301,a,22542,a)]. given #20456 (H,wt=28): 22544 K(x,L((y * K(z,u)) \ w,u \ y,u)) = K(x,(u * K(z,u)) \ ((y / u) \ w)). [hyper(17783,a,22543,a)]. given #20457 (H,wt=26): 22545 K(x,L((y * K(z,u)) \ w,y,u)) = K(x,(u * K(z,u)) \ ((y / u) \ w)). [hyper(14594,a,22544,a)]. given #20458 (H,wt=25): 22547 K(x,(y * K(z,y)) \ ((u / y) \ w)) = K(x,y \ ((T(y,z) / u) * w)). [hyper(236,a,22491,a(flip),b,22545,a(flip))]. given #20459 (H,wt=25): 22548 K(x,K(y,z) * (y \ ((u / y) \ w))) = K(x,y \ ((T(y,z) / u) * w)). [hyper(19159,a,22547,a)]. given #20460 (H,wt=23): 22549 K(x,y \ ((T(y,K(z,u)) / w) * v5)) = K(x,y \ ((w / y) \ v5)). [hyper(16624,a,22548,a),flip(a)]. given #20461 (H,wt=19): 22550 K(x,y \ ((z / y) \ u)) = K(x,y \ ((y / z) * u)). [para(1367(a,1),22549(a,1,2,2,1,1)),flip(a)]. given #20462 (H,wt=21): 22551 x * K(x,y \ ((y / z) * u)) = T(x,y \ ((z / y) \ u)). [para(22550(a,1),4887(a,2,2)),flip(a)]. given #20463 (H,wt=19): 22552 T(x,y \ ((z / y) \ u)) = T(x,y \ ((y / z) * u)). [hyper(4890,a,22551,a),flip(a)]. given #20464 (H,wt=23): 22553 T(x,(y \ z) \ (((y \ z) / z) * u)) = T(x,(y \ z) \ (y \ u)). [para(62(a,1),22552(a,1,2,2,1)),flip(a)]. given #20465 (H,wt=22): 22554 T(x,L(y,z,z \ (u \ z))) = T(x,(u \ z) \ (u \ (z * y))). [para(11100(a,1),22553(a,1,2))]. given #20466 (H,wt=20): 22555 T(x,(y \ z) \ (y \ (z * u))) = T(x,L(u,z,y \ z)). [hyper(22495,a,22554,a),flip(a)]. given #20467 (H,wt=18): 22556 T(x,(y \ z) \ (y \ (z * u))) = T(x,L(u,y,z)). [hyper(236,a,22496,a(flip),b,22555,a)]. given #20468 (H,wt=21): 22557 T(x,(y \ z) \ (y \ (z * u))) != w | T(x,L(u,y,z)) = w. [para(22555(a,2),22497(a,1))]. given #20469 (H,wt=33): 22558 T(x,((a(y,z,u) * w) \ v5) \ (a(y,z,u) \ (w \ (v5 * v6)))) = T(x,L(v6,a(y,z,u) * w,v5)). [hyper(21781,a,22556,a)]. given #20470 (H,wt=34): 22458 T(L(x,y,z) * a(u,x,K(w,v5)),a(v5,w,u) \ 1) = R(L(x,y,z),a(v5,w,u) \ 1,L(x,y,z)). [para(22449(a,1),21914(a,1,1,2))]. given #20471 (H,wt=28): 22559 R(L(x,y,K(z,u)),a(u,z,y) \ 1,L(x,y,K(z,u))) = T(x,a(u,z,y) \ 1). [para(22540(a,1),22458(a,1,1)),flip(a)]. given #20472 (H,wt=15): 22560 T(x,a(y,z,u) \ 1) = L(x,u,K(z,y)). [hyper(236,a,13468,a(flip),b,22559,a(flip))]. given #20473 (H,wt=15): 22563 T(x,a(y,z,z \ 1) \ 1) != u | u = x. [para(22560(a,2),14692(a,1))]. given #20474 (H,wt=20): 22561 L(a(x,y,z) \ u,z,K(y,x)) = u * (a(x,y,z) \ 1). [hyper(18796,a,22560,a),flip(a)]. given #20475 (H,wt=15): 22564 x * (a(y,z,u) \ 1) = x / a(y,z,u). [hyper(22476,a,22561,a),flip(a)]. given #20476 (H,wt=15): 22570 x * (a(y,z,x) \ 1) = a(y,z,x) \ x. [hyper(236,a,14757,a(flip),b,22564,a)]. given #20477 (H,wt=15): 22572 x \ (a(y,z,x) \ x) = a(y,z,x) \ 1. [hyper(72,a,14757,a(flip),b,22564,a)]. given #20478 (H,wt=15): 22573 (x * a(y,z,u)) \ x = a(y,z,u) \ 1. [hyper(72,a,15,a(flip),b,22564,a)]. given #20479 (H,wt=18): 22568 x * (a(y,z,u) \ 1) != w | x / a(y,z,u) = w. [para(22561(a,1),22476(a,1))]. given #20480 (H,wt=21): 22569 x * (a(y,a(z,u,w),v5) \ 1) = a(y,a(z,u,w),v5) \ x. [hyper(236,a,20096,a(flip),b,22564,a)]. given #20481 (H,wt=19): 22576 K(x,(a(y,a(z,u,w),v5) \ v6) \ v7) = K(x,v6 \ v7). [para(22569(a,1),21839(a,1,2,1))]. given #20482 (H,wt=21): 22577 K(x,y * (a(z,a(u,w,v5),v6) * v7)) = K(x,(y \ 1) \ v7). [hyper(21941,a,22576,a)]. given #20483 (H,wt=19): 22578 K(x,y * (a(z,a(u,w,v5),v6) * v7)) = K(x,y * v7). [hyper(236,a,14051,a(flip),b,22577,a)]. given #20484 (H,wt=22): 22565 x * (a(y \ 1,y,z) \ 1) != u | a(y \ 1,y,z) \ x = u. [para(22561(a,1),3616(a,1)),flip(b)]. given #20485 (H,wt=22): 22566 x * (a(y,z,z \ 1) \ 1) != u | a(y,z,z \ 1) \ x = u. [para(22561(a,1),14692(a,1)),flip(b)]. given #20486 (H,wt=22): 22575 L(x,y,K(z,u)) * (a(y,z,u) \ 1) = (a(y,z,u) \ 1) * x. [para(22573(a,1),22520(a,1,2))]. given #20487 (H,wt=20): 22580 L(x,y,K(z,u)) / a(y,z,u) = (a(y,z,u) \ 1) * x. [hyper(22568,a,22575,a)]. given #20488 (H,wt=15): 22582 (a(x,y,z) \ 1) * u = a(x,y,z) \ u. [hyper(22484,a,22580,a),flip(a)]. given #20489 (H,wt=14): 22585 L(x,a(y,z,u) \ 1,a(y,z,u)) = x. [hyper(17,a,392,a(flip),b,22582,a)]. given #20490 (H,wt=15): 22584 (a(x,y,z) \ 1) \ u = a(x,y,z) * u. [hyper(72,a,13,a(flip),b,22582,a)]. given #20491 (H,wt=17): 22591 ((x * a(y,z,u)) \ x) \ w = a(y,z,u) * w. [para(22573(a,2),22584(a,1,1))]. given #20492 (H,wt=18): 22588 (a(x,y,z) \ 1) \ u != w | a(x,y,z) * u = w. [para(22585(a,1),537(a,1))]. given #20493 (H,wt=19): 22587 (T(a(x,y,z),u) \ 1) * w = T(a(x,y,z),u) \ w. [hyper(72,a,22585,a(flip),b,11794,a),flip(a)]. given #20494 (H,wt=23): 22567 T(x,y / (z * (a(u,w,v5) \ 1))) = T(x,y / (a(u,w,v5) \ z)). [para(22561(a,1),18175(a,1,2,2))]. given #20495 (H,wt=25): 22579 K(x,y * ((z * a(u,w,v5)) * v6)) = K(x,y * (z * (a(u,w,v5) * v6))). [para(14980(a,1),22578(a,1,2,2))]. given #20496 (H,wt=26): 22592 T(x,y / (z * (a(u,w,v5) \ 1))) != v6 | T(x,(z / y) \ a(u,w,v5)) = v6. [para(22567(a,2),21986(a,1))]. given #20497 (H,wt=21): 22594 T(x,(y / z) \ a(u,w,v5)) = T(x,(z / y) * a(u,w,v5)). [hyper(22592,a,22537,a)]. given #20498 (H,wt=25): 22595 T(x,(y / (y * (z / y))) * a(u,w,v5)) = T(x,z \ (y * a(u,w,v5))). [hyper(236,a,20162,a(flip),b,22594,a(flip))]. given #20499 (H,wt=25): 22596 T(x,(((y / z) * z) \ z) * a(u,w,v5)) = T(x,y \ (z * a(u,w,v5))). [hyper(236,a,18638,a(flip),b,22595,a(flip)),flip(a)]. given #20500 (H,wt=21): 22597 T(x,y \ (z * a(u,w,v5))) = T(x,(y \ z) * a(u,w,v5)). [para(16(a,1),22596(a,1,2,1,1)),flip(a)]. given #20501 (H,wt=21): 22598 T(x,y \ (a(z,u,w) * v5)) = T(x,(y \ v5) * a(z,u,w)). [hyper(236,a,18046,a,b,22597,a(flip)),flip(a)]. given #20502 (H,wt=21): 22600 T(x,(y \ (a(z,u,w) \ v5)) * a(z,u,w)) = T(x,y \ v5). [para(14(a,1),22598(a,1,2,2)),flip(a)]. given #20503 (H,wt=25): 22599 T(x,((a(y,z,u) * w) \ v5) \ v6) = T(x,((w \ v5) \ v6) * a(y,z,u)). [hyper(236,a,22303,a,b,22598,a(flip)),flip(a)]. given #20504 (H,wt=31): 22593 K(x,(y \ K(z,u)) * (w * (a(v5,v6,v7) * T(z,u)))) = K(x,y \ ((w * a(v5,v6,v7)) * z)). [hyper(236,a,18209,a(flip),b,22579,a(flip))]. given #20505 (H,wt=31): 22602 K(x,K(y,z) * (u \ (w * (a(v5,v6,v7) * T(y,z))))) = K(x,u \ ((w * a(v5,v6,v7)) * y)). [hyper(19264,a,22593,a)]. given #20506 (H,wt=29): 22603 K(x,y \ (T(z,u) * (a(w,v5,v6) * T(u,z)))) = K(x,y \ ((z * a(w,v5,v6)) * u)). [hyper(236,a,19299,a(flip),b,22602,a(flip)),flip(a)]. given #20507 (H,wt=29): 22604 K(x,y \ T(z * (a(u,w,v5) * v6),K(z,v6))) = K(x,y \ ((z * a(u,w,v5)) * v6)). [para(8663(a,2),22603(a,1,2,2))]. given #20508 (H,wt=25): 22605 K(x,y \ ((z * a(u,w,v5)) * v6)) = K(x,y \ (z * (a(u,w,v5) * v6))). [hyper(16671,a,22604,a),flip(a)]. given #20509 (H,wt=20): 22607 K(x,(y * z) \ ((y * z) * (a(x,y,z) * u))) = K(x,u). [hyper(236,a,22146,a(flip),b,22605,a(flip))]. given #20510 (H,wt=12): 22608 K(x,a(x,y,z) * u) = K(x,u). [para(13(a,1),22607(a,1,2))]. given #20511 (H,wt=16): 22613 K(a(x,y,z) * u,x) = (w * K(x,u)) \ w. [para(22608(a,1),7549(a,1,1,2)),flip(a)]. given #20512 (H,wt=12): 22614 K(a(x,y,z) * u,x) = K(u,x). [hyper(236,a,16162,a(flip),b,22613,a)]. given #20513 (H,wt=15): 22615 T(x * K(y,x),y) = R(x,a(x,z,u),y). [para(22614(a,1),18903(a,1,1,2))]. given #20514 (H,wt=9): 22616 R(x,a(x,y,z),u) = x. [hyper(5029,a,22615,a)]. given #20515 (H,wt=17): 22619 (x * a(x,y,z)) * u = x * (a(x,y,z) * u). [para(22616(a,1),113(a,1,1)),flip(a)]. given #20516 (H,wt=17): 22621 (x * y) / (a(x,z,u) \ y) = x * a(x,z,u). [hyper(74,a,88,a(flip),b,22619,a)]. given #20517 (H,wt=22): 22622 (x * ((y * x) * z)) / (x * (T(y,x) * z)) = x * a(x,y,z). [para(22507(a,1),22621(a,1,2))]. given #20518 (H,wt=11): 22623 R(x,y,z) = x * a(x,y,z). [hyper(236,a,15532,a,b,22622,a(flip)),flip(a)]. given #20519 (H,wt=11): 22626 R(x,y,z) = a(x,y,z) * x. [hyper(236,a,12748,a,b,22623,a)]. given #20520 (H,wt=15): 22624 x * R(x \ 1,y,z) = a(x \ 1,y,z). [hyper(3704,a,22623,a)]. given #20521 (H,wt=15): 22634 K(x \ R(x,y,z),u) = K(a(x,y,z),u). [para(22623(a,2),660(a,1,1,2))]. given #20522 (H,wt=15): 22640 (R(x,y,z) \ x) \ u = a(x,y,z) * u. [para(22623(a,2),22591(a,1,1,1))]. given #20523 (H,wt=15): 22641 x * (a(x,y,z) * u) = R(x,y,z) * u. [para(22623(a,2),22619(a,1,1)),flip(a)]. given #20524 (H,wt=15): 22646 K(x \ R(x,y,z),u) = a(x,y,K(z,u)). [hyper(236,a,13871,a,b,22634,a)]. given #20525 (H,wt=15): 22647 (R(x,y,z) \ x) * u = a(x,y,z) \ u. [hyper(305,a,22640,a),flip(a)]. given #20526 (H,wt=15): 22657 R(x,y,z) * (x \ u) = a(x,y,z) * u. [hyper(17,a,1492,a,b,22641,a),flip(a)]. given #20527 (H,wt=19): 22645 x \ (y * R(y \ x,z,u)) = a((x \ y) \ 1,z,u). [hyper(236,a,1542,a(flip),b,22624,a(flip)),flip(a)]. given #20528 (H,wt=19): 22664 T(x * R(x \ y,z,u),y) = a(x \ y,z,u) * y. [hyper(236,a,13287,a(flip),b,22657,a(flip)),flip(a)]. given #20529 (H,wt=20): 22642 a(L(x,y,z),u,w) \ L(R(x,u,w),y,z) = L(x,y,z). [hyper(72,a,44,a(flip),b,22626,a(flip))]. given #20530 (H,wt=22): 22662 a(x,y,K(z,u)) * (x \ R(x,y,z)) = T(x \ R(x,y,z),u). [para(22646(a,1),4897(a,2,1)),flip(a)]. given #20531 (H,wt=19): 22665 K(x,T(y \ R(y,z,u),w)) = K(x,y \ R(y,z,u)). [para(22662(a,1),18065(a,1,2))]. given #20532 (H,wt=22): 22666 K(x,T(y \ R(y,z,u),w)) != v5 | K(x,y \ R(y,z,u)) = v5. [para(22662(a,1),18099(a,1,2))]. given #20533 (H,wt=26): 22644 (x * y) \ (x * (y * (z * R(z \ 1,u,w)))) = a(L(z,y,x) \ 1,u,w). [hyper(236,a,2634,a,b,22624,a(flip)),flip(a)]. given #20534 (H,wt=24): 22667 (x * y) \ (x * (y * a(z \ 1,u,w))) = a(L(z,y,x) \ 1,u,w). [para(22624(a,1),22644(a,1,2,2,2))]. given #20535 (H,wt=19): 22668 a(L(x,y,z) \ 1,u,w) = L(a(x \ 1,u,w),y,z). [hyper(447,a,22667,a),flip(a)]. given #20536 (H,wt=33): 22601 T(x,((y \ z) \ (a(u,w,v5) \ (y \ (z * v6)))) * a(u,w,v5)) = T(x,L(v6,a(u,w,v5) * y,z)). [hyper(236,a,22558,a(flip),b,22599,a(flip))]. given #20537 (H,wt=23): 22669 T(x,L(y,a(z,u,w) * v5,v6)) = T(x,(v5 \ v6) \ (v5 \ (v6 * y))). [hyper(236,a,22600,a(flip),b,22601,a(flip))]. given #20538 (H,wt=18): 22671 T(x,L(y,a(z,u,w) * v5,v6)) = T(x,L(y,v5,v6)). [hyper(236,a,22556,a(flip),b,22669,a)]. given #20539 (H,wt=18): 22672 T(x,L(y,z * a(u,w,v5),v6)) = T(x,L(y,z,v6)). [hyper(236,a,20327,a,b,22671,a(flip)),flip(a)]. given #20540 (H,wt=43): 22574 (a(x,y,z) \ z) * ((T((a(x,y,z) \ z) \ z,u) \ 1) * ((a(x,y,z) \ z) \ z)) = z * (T((a(x,y,z) \ 1) \ 1,u) \ 1). [para(22572(a,1),19889(a,2,2,1,1,1))]. given #20541 (H,wt=39): 22673 (a(x,y,z) \ z) * ((T(a(x,y,z),u) \ 1) * ((a(x,y,z) \ z) \ z)) = z * (T((a(x,y,z) \ 1) \ 1,u) \ 1). [para(14760(a,1),22574(a,1,2,1,1,1))]. given #20542 (H,wt=35): 22674 (a(x,y,z) \ z) * ((T(a(x,y,z),u) \ 1) * a(x,y,z)) = z * (T((a(x,y,z) \ 1) \ 1,u) \ 1). [para(14760(a,1),22673(a,1,2,2))]. given #20543 (H,wt=33): 22675 (a(x,y,z) \ z) * (T(a(x,y,z),u) \ a(x,y,z)) = z * (T((a(x,y,z) \ 1) \ 1,u) \ 1). [para(22587(a,1),22674(a,1,2))]. given #20544 (H,wt=28): 22676 (a(x,y,z) \ z) * K(u,a(x,y,z)) = z * (T((a(x,y,z) \ 1) \ 1,u) \ 1). [para(4821(a,2),22675(a,1,2))]. given #20545 (H,wt=28): 22677 (a(x,y,z) \ z) * a(u,y,K(z,x)) = z * (T((a(x,y,z) \ 1) \ 1,u) \ 1). [para(14004(a,2),22676(a,1,2))]. given #20546 (H,wt=26): 22678 a(x,y,z) \ L(z,x,K(u,y)) = z * (T((a(x,y,z) \ 1) \ 1,u) \ 1). [hyper(236,a,22463,a(flip),b,22677,a(flip)),flip(a)]. given #20547 (H,wt=23): 22679 x * (T((a(y,z,x) \ 1) \ 1,u) \ 1) = T(a(y,z,x),u) \ x. [hyper(236,a,22510,a(flip),b,22678,a(flip))]. given #20548 (H,wt=19): 22680 x * (T(a(y,z,x),u) \ 1) = T(a(y,z,x),u) \ x. [para(12739(a,1),22679(a,1,2,1,1))]. given #20549 (H,wt=71): 20624 a(x,K(y,z / (u / w)),K(K((z * w) / u,y),v5)) * K(v5,a(y,z,K(w,z \ u)) \ (T(K(y,z / (u / w)),v6) * x)) = K(v5,T(K(y,z / (u / w)),v6) \ (K((z * w) / u,y) \ (K(y,z / (u / w)) * x))). [para(20619(a,1),20358(a,1,2,2,1))]. given #20550 (H,wt=54): 22681 K(x,T(K(y,z / (u / w)),v5) \ (K((z * w) / u,y) \ (K(y,z / (u / w)) * v6))) = 1 * K(x,a(y,z,K(w,z \ u)) \ (T(K(y,z / (u / w)),v5) * v6)). [para(19131(a,1),20624(a,1,1)),flip(a)]. given #20551 (H,wt=54): 22682 K(x,T(K(y,z / (u / w)),v5) \ (K((z * w) / u,y) \ (K(y,z / (u / w)) * v6))) = 1 * K(x,a(y,z,K(w,z \ u)) \ (K(y,T(z / (u / w),v5)) * v6)). [para(7256(a,2),22681(a,2,2,2,2,1))]. given #20552 (H,wt=54): 22684 K(x,T(K(y,z / (u / w)),v5) \ (K((z * w) / u,y) \ (K(y,z / (u / w)) * v6))) = 1 * K(x,a(w,z,K(y,z \ u)) * (K(y,T(z / (u / w),v5)) * v6)). [para(14026(a,1),22682(a,2,2,2))]. given #20553 (H,wt=52): 22685 K(x,T(K(y,z / (u / w)),v5) \ (K((z * w) / u,y) \ (K(y,z / (u / w)) * v6))) = 1 * K(x,a(w,z,K(y,z \ u)) * (K(y,z / (u / w)) * v6)). [para(16707(a,1),22684(a,2,2))]. given #20554 (H,wt=52): 22687 K(x,T(K(y,z / (u / w)),v5) \ (K((z * w) / u,y) \ (K(y,z / (u / w)) * v6))) = 1 * K(x,a(w,z,K(y,z \ u)) * (K(y,(u / w) \ z) * v6)). [para(16785(a,1),22685(a,2,2))]. given #20555 (H,wt=43): 22688 K(x,T(K(y,z / (u / w)),v5) \ (K((z * w) / u,y) \ (K(y,z / (u / w)) * v6))) = 1 * K(x,K(y,(u / w) \ z) * v6). [para(18065(a,1),22687(a,2,2))]. given #20556 (H,wt=43): 22689 K(x,T(K(y,z / (u / w)),v5) \ (K((z * w) / u,y) \ (K(y,z / (u / w)) * v6))) = 1 * K(x,K(y,(w \ u) \ z) * v6). [para(17309(a,1),22688(a,2,2))]. given #20557 (H,wt=41): 22691 K(x,T(K(y,z / (u / w)),v5) \ (K((z * w) / u,y) \ (K(y,z / (u / w)) * v6))) = K(x,K(y,(w \ u) \ z) * v6). [hyper(236,a,11,a(flip),b,22689,a)]. given #20558 (H,wt=41): 22692 K(x,K(y,T(z / (u / w),v5)) \ (K((z * w) / u,y) \ (K(y,z / (u / w)) * v6))) = K(x,K(y,(w \ u) \ z) * v6). [para(6439(a,1),22691(a,1,2,1))]. given #20559 (H,wt=41): 22693 K(x,K(y,T(z / (u / w),v5)) \ (K(y,(z * w) / u) * (K(y,z / (u / w)) * v6))) = K(x,K(y,(w \ u) \ z) * v6). [para(5260(a,1),22692(a,1,2,2))]. given #20560 (H,wt=41): 22694 K(x,K(y / (z / u),T(w,v5)) * (K(w,(y * u) / z) * (K(w,y / (z / u)) * v6))) = K(x,K(w,(u \ z) \ y) * v6). [para(7323(a,1),22693(a,1,2))]. given #20561 (H,wt=41): 22695 K(x,K(y / (z / u),T(w,v5)) * (K(w,z \ (y * u)) * (K(w,y / (z / u)) * v6))) = K(x,K(w,(u \ z) \ y) * v6). [hyper(16826,a,22694,a)]. given #20562 (H,wt=39): 22696 K(x,(K(y,z \ (u * w)) * (K(y,u / (z / w)) * v5)) * K(u / (z / w),y)) = K(x,K(y,(w \ z) \ u) * v5). [hyper(16703,a,22695,a)]. given #20563 (H,wt=39): 22697 K(x,K(y,z \ (u * w)) * ((K(y,u / (z / w)) * v5) * K(u / (z / w),y))) = K(x,K(y,(w \ z) \ u) * v5). [hyper(18098,a,22696,a)]. given #20564 (H,wt=31): 22698 K(x,K(y,z \ (u * w)) * T(v5,K(y,u / (z / w)))) = K(x,K(y,(w \ z) \ u) * v5). [para(7986(a,1),22697(a,1,2,2))]. given #20565 (H,wt=26): 22699 K(x,K(y,(z \ u) \ w) * v5) != v6 | K(x,K(y,u \ (w * z)) * v5) = v6. [para(22698(a,1),16670(a,1))]. given #20566 (H,wt=23): 22700 K(x,K(y,z \ (u * w)) * v5) = K(x,K(y,u * (w \ z)) * v5). [hyper(22699,a,21706,a)]. given #20567 (H,wt=23): 22702 K(x,K(y,(z * u) * w) * v5) = K(x,K(y,z * (u \ w)) * v5). [hyper(21709,a,22700,a)]. given #20568 (H,wt=25): 22703 K(x,K(y,z * (T(u,w) \ v5)) * v6) = K(x,K((z * u) * v5,y) * v6). [hyper(21798,a,22702,a),flip(a)]. given #20569 (H,wt=23): 22705 K(x,K((y * z) * u,w) * v5) = K(x,K(y * (z \ u),w) * v5). [hyper(18214,a,22703,a),flip(a)]. given #20570 (H,wt=23): 22706 K(x,K((y * z) * u,w) * v5) = K(x,K(y * (u * z),w) * v5). [hyper(236,a,20960,a(flip),b,22705,a)]. given #20571 (H,wt=23): 22707 K(x,K((y \ z) * u,w) * v5) = K(x,K(y * (z * u),w) * v5). [hyper(236,a,21714,a,b,22706,a(flip)),flip(a)]. given #20572 (H,wt=23): 22709 K(x,K(y * (z * u),w) * v5) = K(x,K(w,u * (y \ z)) * v5). [hyper(16742,a,22707,a),flip(a)]. given #20573 (H,wt=23): 22710 K(x,K(y,z * ((u * w) \ u)) * v5) = K(x,v5 * K(y,w * z)). [hyper(236,a,21626,a(flip),b,22709,a(flip))]. given #20574 (H,wt=23): 22711 K(x,y * K((z / (u * z)) \ w,v5)) = K(x,y * K(v5,u * w)). [hyper(21708,a,22710,a)]. given #20575 (H,wt=23): 22712 K(x,y * K(((z * u) \ z) \ w,v5)) = K(x,y * K(v5,u * w)). [para(19760(a,1),22711(a,1,2,2))]. given #20576 (H,wt=23): 22713 K(x,y * K(((z * u) \ z) * w,v5)) = K(x,y * K(v5,u * w)). [hyper(236,a,21652,a(flip),b,22712,a(flip)),flip(a)]. given #20577 (H,wt=29): 22704 K(x,y * K(T(z * T(u,w),u) * v5,v6)) = K(x,K(v6,T(u,w) * (z \ v5)) * y). [hyper(236,a,16786,a,b,22702,a(flip)),flip(a)]. given #20578 (H,wt=27): 22714 K(x,y * K(T(z * T(u,w),u) * v5,v6)) = K(x,y * K(u * (z \ v5),v6)). [hyper(236,a,17304,a(flip),b,22704,a)]. given #20579 (H,wt=25): 22716 K(x,y * K((T(z,u) * w) * v5,v6)) = K(x,y * K(z * (w \ v5),v6)). [para(16713(a,1),22714(a,1,2,2))]. given #20580 (H,wt=23): 22717 K(x,y * K((z * u) * w,v5)) = K(x,y * K(z * (u \ w),v5)). [para(118(a,1),22716(a,1,2,2,1,1,1))]. given #20581 (H,wt=57): 22708 K(x,K(((y * z) \ y) * (u * w),v5) * v6) * K(x,K(v6,K(v5,(((y * z) \ y) * w) * u))) = K(x,v6 / (K(v5,u * (((y * z) \ y) * w)) * (K(v5,K(u,z * w)) \ 1))). [para(22706(a,1),22323(a,1,1))]. given #20582 (H,wt=57): 22718 K(x,K((y * z) * (y * (u * w)),v5) * v6) * K(x,K(v6,K(v5,(((y * z) \ y) * w) * u))) = K(x,v6 / (K(v5,u * (((y * z) \ y) * w)) * (K(v5,K(u,z * w)) \ 1))). [para(22707(a,1),22708(a,1,1))]. given #20583 (H,wt=53): 22719 K(x,y * K(z,u * (w * v5))) * K(x,K(y,K(z,(((v6 * u) \ v6) * v5) * w))) = K(x,y / (K(z,w * (((v6 * u) \ v6) * v5)) * (K(z,K(w,u * v5)) \ 1))). [para(21626(a,1),22718(a,1,1))]. given #20584 (H,wt=39): 22720 K(x,y / (K(z,u * (((w * v5) \ w) * v6)) * (K(z,K(u,v5 * v6)) \ 1))) = K(x,y * K(z,v5 * (u * v6))) * 1. [para(16116(a,1),22719(a,1,2)),flip(a)]. given #20585 (H,wt=37): 22722 K(x,y / (K(z,u * (((w * v5) \ w) * v6)) * (K(z,K(u,v5 * v6)) \ 1))) = K(x,y * K(z,v5 * (u * v6))). [hyper(236,a,12,a(flip),b,22720,a)]. given #20586 (H,wt=37): 22724 K(x,y / (K(z,u * (((w * v5) \ w) * v6)) * (K(z,K(u,v5 * v6)) * 1))) = K(x,y * K(z,v5 * (u * v6))). [para(7964(a,1),22722(a,1,2,2,2))]. given #20587 (H,wt=35): 22725 K(x,y / (K(z,u * (((w * v5) \ w) * v6)) * K(z,K(u,v5 * v6)))) = K(x,y * K(z,v5 * (u * v6))). [para(12(a,1),22724(a,1,2,2,2))]. given #20588 (H,wt=27): 22726 K(x,y / K(z,(((u * w) \ u) * v5) * v6)) = K(x,y * K(z,w * (v6 * v5))). [para(20434(a,1),22725(a,1,2,2))]. given #20589 (H,wt=27): 22727 K(x,y * K((((z * u) \ z) * w) * v5,v6)) = K(x,y * K(v6,u * (v5 * w))). [para(7547(a,1),22726(a,1,2))]. given #20590 (H,wt=27): 22728 K(x,y * K(((z * u) \ z) * (w \ v5),v6)) = K(x,y * K(v6,u * (v5 * w))). [hyper(236,a,22717,a(flip),b,22727,a(flip)),flip(a)]. given #20591 (H,wt=23): 22729 K(x,y * K(z,u * (w \ v5))) = K(x,y * K(z,u * (v5 * w))). [hyper(236,a,22713,a(flip),b,22728,a(flip)),flip(a)]. given #20592 (H,wt=33): 22730 K(x,(y / T(z,(u * (w \ 1)) \ v5)) * K(v6,K(v7,v8))) = K(x,(y / z) * K(z,w * (v5 * u))). [hyper(21799,a,22729,a)]. given #20593 (H,wt=33): 22731 K(x,(y / T(z,(u * (w \ 1)) \ v5)) * K(v6,K(v7,v8))) = K(x,y * (z \ K(z,w * (v5 * u)))). [hyper(236,a,19203,a(flip),b,22730,a)]. given #20594 (H,wt=31): 22732 K(x,(y / T(z,(u * (w \ 1)) \ v5)) * K(v6,K(v7,v8))) = K(x,y / T(z,w * (v5 * u))). [hyper(236,a,19256,a(flip),b,22731,a)]. given #20595 (H,wt=29): 22733 K(x,y / T(T(z,K(u,w)),(v5 * (v6 \ 1)) \ v7)) = K(x,y / T(z,v6 * (v7 * v5))). [para(18680(a,1),22732(a,1,2))]. given #20596 (H,wt=25): 22734 K(x,y / T(z,u / (w * (v5 \ 1)))) = K(x,y / T(z,v5 * (u * w))). [para(9354(a,1),22733(a,1,2,2))]. given #20597 (H,wt=25): 22735 K(x,y / T(z,u * (w * (v5 \ 1)))) = K(x,y / T(z,v5 * (u * w))). [hyper(21589,a,22734,a)]. given #20598 (H,wt=23): 22736 K(x,y / T(z,u * (w \ v5))) = K(x,y / T(z,u * (v5 * w))). [hyper(236,a,21646,a(flip),b,22735,a(flip)),flip(a)]. given #20599 (H,wt=23): 22737 K(x,y / T(z,u * (w / v5))) = K(x,y / T(z,u * (w * v5))). [hyper(21627,a,22736,a)]. given #20600 (H,wt=31): 22738 K(x,y / T(z \ 1,u * (T(w,v5) * v6))) = K(x,y * T(z,u * (((w \ v5) \ v5) / v6))). [hyper(236,a,19647,a(flip),b,22737,a(flip))]. given #20601 (H,wt=29): 22739 K(x,y * T(z,u * (((w \ v5) \ v5) / v6))) = K(x,y / T(z \ 1,u * (w * v6))). [hyper(236,a,20992,a(flip),b,22738,a(flip))]. given #20602 (H,wt=27): 22741 K(x,y * T(z,u * (((w \ v5) \ v5) / v6))) = K(x,y * T(z,u * (w * v6))). [hyper(236,a,16535,a(flip),b,22739,a)]. given #20603 (H,wt=23): 22742 K(x,y * T(z,u * (w / v5))) = K(x,y * T(z,u * (w * v5))). [para(128(a,1),22741(a,1,2,2,2,2,1))]. given #20604 (H,wt=36): 22743 K(x,T(a(y,z,u) \ (w \ v5),w) * T(v6,a(y,z,u) * (v5 * w))) = K(x,v6 * (v5 / (a(y,z,u) * w))). [hyper(236,a,22316,a(flip),b,22742,a(flip))]. given #20605 (H,wt=31): 22744 K(x,T(a(y,z,u) \ (w \ v5),w) * T(v6,v5 * w)) = K(x,v6 * (v5 / (a(y,z,u) * w))). [hyper(236,a,22291,a(flip),b,22743,a(flip)),flip(a)]. given #20606 (H,wt=31): 22746 K(x,T(y \ z,y) * (a(u,w,v5) \ T(v6,z * y))) = K(x,v6 * (z / (a(u,w,v5) * y))). [hyper(236,a,22279,a(flip),b,22744,a(flip)),flip(a)]. given #20607 (H,wt=31): 22747 K(x,T(y \ z,y) * T(a(u,w,v5) \ v6,z * y)) = K(x,v6 * (z / (a(u,w,v5) * y))). [hyper(236,a,22282,a(flip),b,22746,a(flip)),flip(a)]. given #20608 (H,wt=29): 22748 K(x,(y / z) * T(a(u,w,v5) \ v6,y * z)) = K(x,v6 * (y / (a(u,w,v5) * z))). [hyper(236,a,18183,a(flip),b,22747,a(flip)),flip(a)]. given #20609 (H,wt=25): 22749 K(x,(a(y,z,u) \ w) * (v5 / v6)) = K(x,w * (v5 / (a(y,z,u) * v6))). [hyper(236,a,21598,a(flip),b,22748,a(flip)),flip(a)]. given #20610 (H,wt=25): 22750 K(x,y * (z / (a(u,w,v5) * v6))) = K(x,y * (a(u,w,v5) \ (z / v6))). [hyper(22126,a,22749,a),flip(a)]. given #20611 (H,wt=38): 22751 K(x,y * (a(z,u,w) \ (T(v5,a(z,u,w) * (v5 \ v6)) / v6))) = K(x,y * (v5 / ((v5 \ (a(z,u,w) * v6)) * v5))). [hyper(236,a,22318,a(flip),b,22750,a(flip))]. given #20612 (H,wt=33): 22752 K(x,y * (a(z,u,w) \ (T(v5,v5 \ v6) / v6))) = K(x,y * (v5 / ((v5 \ (a(z,u,w) * v6)) * v5))). [hyper(22314,a,22751,a)]. given #20613 (H,wt=29): 22753 K(x,y * (z / ((z \ (a(u,w,v5) * v6)) * z))) = K(x,y * (a(u,w,v5) \ (v6 \ z))). [hyper(236,a,22263,a(flip),b,22752,a(flip))]. given #20614 (H,wt=29): 22754 K(x,y * ((z * (z \ (a(u,w,v5) * v6))) \ z)) = K(x,y * (a(u,w,v5) \ (v6 \ z))). [hyper(236,a,18236,a(flip),b,22753,a(flip)),flip(a)]. given #20615 (H,wt=25): 22755 K(x,y * ((a(z,u,w) * v5) \ v6)) = K(x,y * (a(z,u,w) \ (v5 \ v6))). [para(14(a,1),22754(a,1,2,2,1))]. given #20616 (H,wt=31): 22757 K(x,y * (a(z,u,K(w,v5)) \ ((L(w,u,K(z,v5)) * v6) \ v7))) = K(x,y * ((w * v6) \ v7)). [para(14776(a,1),22755(a,1,2,2,1)),flip(a)]. given #20617 (H,wt=31): 22758 K(x,y * (a(z,u,K(w,v5)) * ((L(z,u,K(w,v5)) * v6) \ v7))) = K(x,y * ((z * v6) \ v7)). [para(14026(a,1),22757(a,1,2,2))]. given #20618 (H,wt=24): 22759 K(x,y * ((L(z,u,K(w,v5)) * v6) \ v7)) = K(x,y * ((z * v6) \ v7)). [hyper(21963,a,22758,a)]. given #20619 (H,wt=38): 22761 K(x,y * ((z * (u / L(z,w,K(v5,v6)))) \ L(z,w,K(v5,v6)))) = K(x,y * (u \ (u / (u / L(z,w,K(v5,v6)))))). [para(5319(a,1),22759(a,1,2,2)),flip(a)]. given #20620 (H,wt=38): 22762 K(x,y * ((z * (u / L(z,w,K(v5,v6)))) \ L(z,w,K(v5,v6)))) = K(x,y * (u \ L(u / (u / z),w,K(v5,v6)))). [para(10810(a,2),22761(a,2,2,2,2))]. given #20621 (H,wt=33): 22763 K(x,y * ((z * (u / L(z,w,K(v5,v6)))) \ L(z,w,K(v5,v6)))) = K(x,y * (u \ (u / (u / z)))). [hyper(236,a,18121,a(flip),b,22762,a)]. given #20622 (H,wt=31): 22765 K(x,y * ((z * (u / L(z,w,K(v5,v6)))) \ L(z,w,K(v5,v6)))) = K(x,y * (u \ T(z,u))). [hyper(236,a,18342,a(flip),b,22763,a)]. given #20623 (H,wt=29): 22766 K(x,y * ((z * (u / L(z,w,K(v5,v6)))) \ L(z,w,K(v5,v6)))) = K(x,y * (z / u)). [hyper(236,a,15756,a(flip),b,22765,a)]. given #20624 (H,wt=24): 22767 K(x,y * ((z * (u / L(z,w,K(v5,v6)))) \ z)) = K(x,y * (z / u)). [hyper(21967,a,22766,a)]. given #20625 (H,wt=20): 22769 K(x,y / (z / L(u,w,K(v5,v6)))) = K(x,y * (u / z)). [hyper(236,a,22412,a(flip),b,22767,a(flip)),flip(a)]. given #20626 (H,wt=15): 22771 K(x,y / (z / u)) = K(x,y * (u / z)). [hyper(236,a,20892,a(flip),b,22769,a(flip)),flip(a)]. given #20627 (H,wt=23): 22772 K(x,y \ (z \ ((z * u) * y))) = K(x,y * ((u * z) / (y * z))). [hyper(236,a,21263,a(flip),b,22771,a(flip)),flip(a)]. given #20628 (H,wt=23): 22773 x * K(y,x * ((z * u) / (x * u))) = u \ ((u * K(y,z)) * x). [para(22772(a,1),20545(a,1,2))]. given #20629 (H,wt=23): 22774 K(x,((y * z) / (u * z)) * u) * u = z \ ((z * K(x,y)) * u). [hyper(13039,a,22773,a)]. given #20630 (H,wt=22): 22775 K(x,L(y,z,z \ (u \ 1))) * u = z \ ((z * K(x,y)) * u). [para(22517(a,1),22774(a,1,1))]. given #20631 (H,wt=21): 22776 (1 / x) * ((K(y,z) / x) \ u) = x \ ((x * K(z,y)) * u). [hyper(236,a,22535,a(flip),b,22775,a(flip)),flip(a)]. given #20632 (H,wt=20): 22777 K(x,y) * (z \ ((z * K(y,x)) * u)) = L(u,y,K(x,z)). [para(22776(a,1),22522(a,1,2))]. given #20633 (H,wt=13): 22778 L(x,K(y,z),u) = L(x,z,K(y,u)). [hyper(236,a,21222,a(flip),b,22777,a(flip)),flip(a)]. given #20634 (H,wt=13): 22781 L(x,a(y,z,u) \ 1,K(w,v5)) = x. [hyper(236,a,21124,a(flip),b,22778,a(flip))]. given #20635 (H,wt=23): 22783 (x * (a(y,z,u) \ 1)) * K(w,v5) = x * (a(y,z,u) \ K(w,v5)). [para(22781(a,1),15613(a,1,1)),flip(a)]. given #20636 (H,wt=21): 22784 (a(x,y,z) \ z) * K(u,w) = z * (a(x,y,z) \ K(u,w)). [para(22570(a,1),22783(a,1,1))]. given #20637 (H,wt=23): 22785 T(x * (a(y,z,x) \ K(u,x)),u) = (a(y,z,x) * u) \ (u * x). [para(22784(a,1),18788(a,1,1))]. given #20638 (H,wt=24): 22782 L(x \ L(x,y,K(z,u)),x,y * (u / T(y,z))) = a(x,K(z,y),u). [para(22778(a,1),22059(a,1,1,2))]. given #20639 (H,wt=22): 22787 L(a(x,y,K(z,u)),u,y * (z / T(y,x))) = a(u,K(x,y),z). [para(14680(a,1),22782(a,1,1))]. given #20640 (H,wt=13): 22788 a(x,K(y,z),u) = a(y,z,K(u,x)). [hyper(21925,a,22787,a),flip(a)]. given #20641 (H,wt=17): 22790 K(x,L(y,z,u)) * a(x,K(y,z),u) = K(x,y). [para(22788(a,2),14019(a,1,2))]. given #20642 (H,wt=25): 22791 K(x,L(y \ R(y,z,u),y,w)) * a(x,1,w) = K(x,y \ R(y,z,u)). [para(3698(a,1),22790(a,1,2,2))]. given #20643 (H,wt=22): 22792 K(x,L(y \ R(y,z,u),y,w)) * 1 = K(x,y \ R(y,z,u)). [para(328(a,1),22791(a,1,2))]. given #20644 (H,wt=20): 22793 K(x,L(y \ R(y,z,u),y,w)) = K(x,y \ R(y,z,u)). [hyper(84,a,22792,a)]. given #20645 (H,wt=24): 22795 K(L(x \ R(x,y,z),x,u),w) = v5 / (K(w,x \ R(x,y,z)) * v5). [para(22793(a,1),5266(a,1,2,1)),flip(a)]. given #20646 (H,wt=20): 22796 K(L(x \ R(x,y,z),x,u),w) = K(x \ R(x,y,z),w). [hyper(236,a,17975,a(flip),b,22795,a)]. given #20647 (H,wt=20): 22797 K(x \ R(x,y,z),L(u,x,w)) = K(x \ R(x,y,z),u). [hyper(11595,a,22796,a)]. given #20648 (H,wt=21): 22798 K((R(x,y,z) * u) / (x * u),w) = K(x \ R(x,y,z),w). [hyper(236,a,15375,a(flip),b,22797,a(flip)),flip(a)]. given #20649 (H,wt=27): 22800 K(x,T((R(y,z,u) * w) / (y * w),v5)) = v5 / (v5 * K(y \ R(y,z,u),x)). [para(22798(a,1),8157(a,1,2,2)),flip(a)]. given #20650 (H,wt=25): 22801 K(x,T((R(y,z,u) * w) / (y * w),v5)) = K(x,T(y \ R(y,z,u),v5)). [hyper(236,a,8157,a(flip),b,22800,a)]. given #20651 (H,wt=23): 22803 K(x,T((R(y,z,u) * w) / (y * w),v5)) = K(x,y \ R(y,z,u)). [hyper(236,a,22665,a(flip),b,22801,a)]. given #20652 (H,wt=25): 22802 K(x,T((R(y,z,u) * w) / (y * w),v5)) = v5 / (v5 * a(y,z,K(u,x))). [para(22646(a,1),22800(a,2,2,2))]. given #20653 (H,wt=25): 22806 K(x,T((R(y,z,u) * w) / (y * w),v5)) = a(x,z,K(u,y)) * (v5 / v5). [hyper(236,a,21132,a(flip),b,22802,a)]. given #20654 (H,wt=23): 22807 K(x,T((R(y,z,u) * w) / (y * w),v5)) = a(x,z,K(u,y)) * 1. [para(59(a,1),22806(a,2,2))]. given #20655 (H,wt=21): 22808 K(x,T((R(y,z,u) * w) / (y * w),v5)) = a(x,z,K(u,y)). [hyper(236,a,12,a(flip),b,22807,a)]. given #20656 (H,wt=15): 22810 K(x,y \ R(y,z,u)) = a(x,z,K(u,y)). [hyper(236,a,22803,a(flip),b,22808,a(flip)),flip(a)]. given #20657 (H,wt=26): 22804 K(x,T((R(y,z,u) * w) / (y * w),v5)) != v6 | K(x,y \ R(y,z,u)) = v6. [para(22801(a,2),22666(a,1))]. given #20658 (H,wt=31): 22811 (R(x,y,z) * T(u,x)) * a(u * x,y,K(z,x)) = (u * x) * R(x \ R(x,y,z),x,u). [para(22810(a,1),15642(a,1,2))]. given #20659 (H,wt=29): 22812 (R(x,y,z) * T(u,x)) * a(y,z,K(u,x)) = (u * x) * R(x \ R(x,y,z),x,u). [para(22452(a,1),22811(a,1,2))]. given #20660 (H,wt=29): 22813 R(x,y,z) * (T(u,x) * a(y,z,K(u,x))) = (u * x) * R(x \ R(x,y,z),x,u). [hyper(21883,a,22812,a)]. given #20661 (H,wt=25): 22814 R(x,y,z) * T(u,L(x,y,z)) = (u * x) * R(x \ R(x,y,z),x,u). [para(22499(a,1),22813(a,1,2))]. given #20662 (H,wt=20): 22815 (x * y) * R(y \ R(y,z,u),y,x) = x * R(y,z,u). [hyper(15345,a,22814,a),flip(a)]. given #20663 (H,wt=21): 22816 (R(x,y,z) * u) / (x * u) = (u * x) \ (u * R(x,y,z)). [hyper(72,a,22815,a(flip),b,3705,a(flip)),flip(a)]. given #20664 (H,wt=27): 22817 (x * y) * R(y \ R(y,z,u),y,x) != w * v5 | w \ (x * R(y,z,u)) = v5. [para(22815(a,2),545(a,1))]. given #20665 (H,wt=33): 22818 (T(x,y) * (x \ y)) \ (T(x,y) * R(x \ y,z,u)) = (R(x \ y,z,u) * T(x,x \ y)) / y. [hyper(236,a,13728,a(flip),b,22816,a(flip))]. given #20666 (H,wt=25): 22819 (R(x \ y,z,u) * T(x,x \ y)) / y = y \ (x * R(x \ y,z,u)). [hyper(236,a,4395,a(flip),b,22818,a(flip))]. given #20667 (H,wt=23): 22820 T(x * R(x \ y,z,u),y) / y = y \ (x * R(x \ y,z,u)). [para(13285(a,1),22819(a,1,1))]. given #20668 (H,wt=21): 22821 x \ (y * R(y \ x,z,u)) = (a(y \ x,z,u) * x) / x. [para(22664(a,1),22820(a,1,1)),flip(a)]. given #20669 (H,wt=17): 22822 x \ (y * R(y \ x,z,u)) = a(y \ x,z,u). [hyper(236,a,15,a(flip),b,22821,a)]. given #20670 (H,wt=15): 22824 a((x \ y) \ 1,z,u) = a(y \ x,z,u). [hyper(236,a,22645,a(flip),b,22822,a(flip)),flip(a)]. given #20671 (H,wt=22): 22826 a((x * (y * z)) \ (x * y),u,w) = a(L(z,y,x) \ 1,u,w). [para(28(a,2),22824(a,1,1,1)),flip(a)]. given #20672 (H,wt=23): 22825 a((T(x,y) / (T(x,y) / z)) \ x,u,w) = a((z / x) \ 1,u,w). [hyper(18930,a,22824,a),flip(a)]. given #20673 (H,wt=21): 22828 a((T(x,y) / z) * K(y,x),u,w) = a((z / x) \ 1,u,w). [para(14433(a,1),22825(a,1,1))]. given #20674 (H,wt=15): 22829 a((x / y) \ 1,z,u) = a(y / x,z,u). [para(5991(a,1),22828(a,1,1)),flip(a)]. given #20675 (H,wt=21): 22830 a(L(x / y,z,u) \ 1,w,v5) = L(a(y / x,w,v5),z,u). [para(22829(a,1),22668(a,2,1))]. given #20676 (H,wt=34): 22786 (x * (a(y,z,x) \ K(u,x))) * K(x * (a(y,z,x) \ K(u,x)),u) = (a(y,z,x) * u) \ (u * x). [hyper(4981,a,22785,a)]. given #20677 (H,wt=32): 22831 (x * (a(y,z,x) \ K(u,x))) * K(T(x,u) / a(y,z,x),u) = (a(y,z,x) * u) \ (u * x). [para(19375(a,1),22786(a,1,2))]. given #20678 (H,wt=32): 22832 (x * (a(y,z,x) \ K(u,x))) * K(a(y,z,x) \ T(x,u),u) = (a(y,z,x) * u) \ (u * x). [para(14756(a,1),22831(a,1,2,1))]. given #20679 (H,wt=30): 22833 (x * (a(y,z,x) \ K(u,x))) * K(a(y,z,x) \ x,u) = (a(y,z,x) * u) \ (u * x). [para(7473(a,1),22832(a,1,2))]. given #20680 (H,wt=28): 22834 (x * (a(y,z,x) \ K(u,x))) * K(x,L(u,z,y)) = (a(y,z,x) * u) \ (u * x). [para(22514(a,1),22833(a,1,2))]. given #20681 (H,wt=28): 22835 x * ((a(y,z,x) \ K(u,x)) * K(x,L(u,z,y))) = (a(y,z,x) * u) \ (u * x). [hyper(8283,a,22834,a)]. given #20682 (H,wt=24): 22836 (a(x,y,z) * u) \ (u * z) = z * (a(x,y,z) \ a(y,x,K(z,u))). [para(22461(a,1),22835(a,1,2)),flip(a)]. given #20683 (H,wt=21): 22837 (a(x,y,z) * u) \ (u * z) = z * (T(a(x,y,z),u) \ 1). [para(22457(a,1),22836(a,2,2))]. given #20684 (H,wt=19): 22838 (a(x,y,z) * u) \ (u * z) = T(a(x,y,z),u) \ z. [hyper(236,a,22680,a(flip),b,22837,a)]. given #20685 (H,wt=19): 22839 (a(x,y,z) * u) * (T(a(x,y,z),u) \ z) = u * z. [para(22838(a,1),14(a,1,2))]. given #20686 (H,wt=17): 22840 (x * a(y,z,u)) * (a(y,z,u) \ u) = x * u. [hyper(11053,a,22839,a)]. given #20687 (H,wt=17): 22841 (x * y) / (a(z,u,y) \ y) = x * a(z,u,y). [hyper(87,a,22840,a)]. given #20688 (H,wt=17): 22842 (x * a(y,z,u)) \ (x * u) = a(y,z,u) \ u. [hyper(80,a,22840,a)]. given #20689 (H,wt=20): 22843 ((x * y) * z) \ ((x * (y * z)) * z) = a(x,y,z) \ z. [para(91(a,1),22842(a,1,1))]. given #20690 (H,wt=11): 22844 L(x,y,z) = a(z,y,x) \ x. [hyper(236,a,1667,a,b,22843,a(flip)),flip(a)]. given #20691 (H,wt=11): 22847 a(x,y,z) * L(z,y,x) = z. [para(22844(a,2),14(a,1,2))]. given #20692 (H,wt=11): 22848 a(x,y,z) = z / L(z,y,x). [para(22844(a,2),62(a,1,2)),flip(a)]. given #20693 (H,wt=11): 22852 a(x,y,z) = L(z,y,x) \ z. [para(22844(a,2),14760(a,1,1)),flip(a)]. given #20694 (H,wt=13): 22846 a(x,y,z) \ 1 = z \ L(z,y,x). [hyper(72,a,22844,a,b,22570,a),flip(a)]. given #20695 (H,wt=14): 22849 x / L(x,y,z) != u | a(z,y,x) = u. [para(22844(a,2),294(a,1,2)),flip(b)]. given #20696 (H,wt=15): 22853 (x * y) / L(y,z,u) = x * a(u,z,y). [para(22844(a,2),22841(a,1,2))]. given #20697 (H,wt=15): 22869 (x \ L(x,y,z)) * u = a(z,y,x) \ u. [para(22846(a,1),22582(a,1,1))]. given #20698 (H,wt=17): 22851 a(x,y,z) \ T(z,u) = L(z,y,x) * K(z,u). [para(22844(a,2),14432(a,1,1)),flip(a)]. given #20699 (H,wt=18): 22857 a(x,y,z) \ z != u * w | u \ L(z,y,x) = w. [para(22847(a,1),305(a,1,2))]. given #20700 (H,wt=18): 22871 (x \ L(x,y,z)) \ u != w | a(z,y,x) * u = w. [para(22846(a,1),22588(a,1,1))]. given #20701 (H,wt=19): 22881 T(x,L(x,y,z) * (x \ u)) = T(x,a(z,y,x) \ u). [para(22869(a,1),14650(a,1,2)),flip(a)]. given #20702 (H,wt=12): 22885 T(x,a(y,z,x) \ u) = T(x,u). [hyper(236,a,11449,a(flip),b,22881,a(flip))]. given #20703 (H,wt=12): 22887 T(x,a(y,z,x) * u) = T(x,u). [para(13(a,1),22885(a,1,2)),flip(a)]. given #20704 (H,wt=20): 22858 L(L(x,y,z),u,w) \ L(x,u,w) = a(z,y,L(x,u,w)). [hyper(236,a,6065,a(flip),b,22848,a),flip(a)]. given #20705 (H,wt=21): 22877 (x * K(y,z)) / L(z,u,w) = (x / T(z,y)) * a(w,u,z). [para(7612(a,1),22853(a,1,1))]. given #20706 (H,wt=23): 22873 L(L(x,y,z),u,w) \ L(x,u,w) != v5 | a(z,y,L(x,u,w)) = v5. [para(6065(a,1),22849(a,1))]. given #20707 (H,wt=25): 22866 L(x,y,K(z \ (u \ L(u,w,v5)),v6)) = L(x,y,K(v6,a(v5,w,u) * z)). [para(22846(a,1),14719(a,1,3,1,2))]. given #20708 (H,wt=26): 22865 L(x / a(y,z,u),L(u,z,y) \ u,L(u,z,y)) = (x / u) * L(u,z,y). [para(22852(a,2),22176(a,1,1,2))]. given #20709 (H,wt=24): 22889 L(x / a(y,z,u),a(y,z,u),L(u,z,y)) = (x / u) * L(u,z,y). [para(22852(a,2),22865(a,1,2))]. given #20710 (H,wt=29): 22884 R((x * K(y,z)) / L(z,u,w),L(z,u,w),K(z,y)) = x / (a(w,u,z) \ T(z,y)). [para(22851(a,2),7563(a,2,2))]. given #20711 (H,wt=29): 22890 R((x / T(y,z)) * a(u,w,y),L(y,w,u),K(y,z)) = x / (a(u,w,y) \ T(y,z)). [para(22877(a,1),22884(a,1,1))]. given #20712 (H,wt=29): 22891 L((x / T(y,z)) * a(u,w,y),L(y,w,u),K(y,z)) = x / (a(u,w,y) \ T(y,z)). [hyper(15611,a,22890,a)]. given #20713 (H,wt=21): 22892 x / (a(y,z,u) \ T(u,w)) = (x / T(u,w)) * a(y,z,u). [hyper(22482,a,22891,a)]. given #20714 (H,wt=21): 22893 x / (L(y,z,u) * K(y,w)) = (x / T(y,w)) * a(u,z,y). [para(22851(a,1),22892(a,1,2))]. given #20715 (H,wt=31): 22894 T(x,L(y,(L(z,u,w) * K(z,v5)) \ v6,v7)) = T(x,L(y,(v6 / T(z,v5)) * a(w,u,z),v7)). [para(22893(a,1),20328(a,1,2,2)),flip(a)]. given #20716 (H,wt=26): 22895 T(x,L(y,(L(z,u,w) * K(z,v5)) \ v6,v7)) = T(x,L(y,v6 / T(z,v5),v7)). [hyper(236,a,22672,a(flip),b,22894,a)]. given #20717 (H,wt=26): 22897 T(x,L(y,(L(z,u,w) * K(z,v5)) \ v6,v7)) = T(x,L(y,T(z,v5) \ v6,v7)). [hyper(236,a,20328,a(flip),b,22895,a)]. given #20718 (H,wt=24): 22898 T(x,L(y,(L(z,u,w) * K(z,v5)) \ v6,v7)) = T(x,L(y,z \ v6,v7)). [hyper(236,a,20329,a(flip),b,22897,a)]. given #20719 (H,wt=20): 22900 T(x,L(y,L(z,u,w) \ v5,v6)) = T(x,L(y,z \ v5,v6)). [para(133(a,1),22898(a,1,2,2,1))]. given #20720 (H,wt=24): 22901 T(x,L(y,T(z,u) \ u,w)) = T(x,L(y,L(z,v5,v6) \ T(u,z),w)). [para(4117(a,2),22900(a,2,2,2)),flip(a)]. given #20721 (H,wt=22): 22902 T(x,L(y,T(z,u) \ u,w)) = T(x,L(y,w,u \ L(z,v5,v6))). [hyper(236,a,22505,a(flip),b,22901,a)]. given #20722 (H,wt=20): 22904 T(x,L(y,z,u \ L(w,v5,v6))) = T(x,L(y,w \ u,z)). [hyper(236,a,20329,a(flip),b,22902,a(flip))]. given #20723 (H,wt=24): 22905 T(x * K(y,x),L(y,z \ u,w)) = L(x,w,K(u \ L(z,v5,v6),y)). [hyper(14752,a,22904,a),flip(a)]. given #20724 (H,wt=20): 22907 L(x,y,K(z \ L(u,w,v5),v6)) = L(x,u \ z,K(y,v6)). [hyper(14752,a,22905,a),flip(a)]. given #20725 (H,wt=20): 22908 L(x,y,K((z * u) \ L(z,w,v5),v6)) = L(x,u,K(y,v6)). [para(13(a,1),22907(a,2,2))]. given #20726 (H,wt=20): 22909 L(x,y,K(z \ (u \ L(u,w,v5)),v6)) = L(x,z,K(y,v6)). [hyper(22169,a,22908,a)]. given #20727 (H,wt=18): 22910 L(x,y,K(z,a(u,w,v5) * v6)) = L(x,v6,K(y,z)). [hyper(236,a,22866,a(flip),b,22909,a(flip)),flip(a)]. given #20728 (H,wt=18): 22911 L(x,y,K(a(z,u,w) * v5,v6)) = L(x,v5,K(v6,y)). [hyper(22469,a,22910,a)]. given #20729 (H,wt=18): 22913 L(x,y,K(z * a(u,w,v5),v6)) = L(x,z,K(v6,y)). [para(17711(a,1),22911(a,1,3))]. given #20730 (H,wt=20): 22914 a(x * a(y,z,u),w,K(v5,v6)) = v6 \ L(v6,x,K(v5,w)). [hyper(72,a,22913,a(flip),b,14673,a),flip(a)]. given #20731 (H,wt=18): 22915 a(x * a(y,z,u),w,K(v5,v6)) = a(v6,x,K(v5,w)). [hyper(236,a,14679,a(flip),b,22914,a)]. given #20732 (H,wt=18): 22916 a(a(x,y,z) * u,w,K(v5,v6)) = a(v6,u,K(v5,w)). [hyper(17842,a,22915,a)]. given #20733 (H,wt=30): 22917 L(x,y,K(z,u)) * (a(z,y,u) * a(w,x,K(v5,v6))) = L(a(z,y,u) * x,v6,K(v5,w)). [para(22916(a,1),15211(a,1,2,2))]. given #20734 (H,wt=28): 22918 L(L(x,y,K(z,u)),w,K(v5,v6)) * a(z,y,u) = L(a(z,y,u) * x,w,K(v5,v6)). [hyper(236,a,22536,a(flip),b,22917,a(flip)),flip(a)]. given #20735 (H,wt=23): 22920 L(a(x,y,z) * u,w,K(v5,v6)) = a(x,y,z) * L(u,w,K(v5,v6)). [hyper(14746,a,22918,a),flip(a)]. given #20736 (H,wt=32): 22888 (a(x,y,z) * u) * L(T(z,u),w,v5) != v6 * v7 | v6 \ (L(z,w,v5) * (a(x,y,z) * u)) = v7. [para(22887(a,1),613(a,1,2,1))]. given #20737 (H,wt=23): 22921 (a(x,y,z) * L(z,u,w)) \ (L(z,u,w) * (a(x,y,z) * v5)) = v5. [hyper(22888,a,18776,a)]. given #20738 (H,wt=22): 22922 L(K(L(x,y,z),a(u,w,x)) * v5,a(u,w,x),L(x,y,z)) = v5. [hyper(236,a,11128,a(flip),b,22921,a(flip)),flip(a)]. given #20739 (H,wt=22): 22923 L(a(L(x,y,z),u,K(x,w)) * v5,a(w,u,x),L(x,y,z)) = v5. [para(14004(a,2),22922(a,1,1,1))]. given #20740 (H,wt=19): 22924 L(a(x,y,K(x,z)) * u,a(z,y,x),L(x,w,v5)) = u. [para(21902(a,1),22923(a,1,1,1))]. given #20741 (H,wt=12): 22925 L(x,a(y,z,u),L(u,w,v5)) = x. [para(8276(a,1),22924(a,1,1))]. given #20742 (H,wt=15): 22928 (x / y) * L(y,z,u) = x / a(u,z,y). [hyper(236,a,22889,a(flip),b,22925,a(flip)),flip(a)]. given #20743 (H,wt=17): 22934 (x / y) * (a(z,u,y) \ y) = x / a(z,u,y). [para(22844(a,1),22928(a,1,2))]. given #20744 (H,wt=17): 22935 (x * y) / a(z,u,y) = x * (a(z,u,y) \ y). [para(15(a,1),22934(a,1,1)),flip(a)]. given #20745 (H,wt=17): 22936 (x * (a(y,z,u) \ u)) * a(y,z,u) = x * u. [para(22935(a,1),16(a,1,1))]. given #20746 (H,wt=15): 22937 (x * L(y,z,u)) * a(u,z,y) = x * y. [para(22844(a,2),22936(a,1,1,2))]. given #20747 (H,wt=24): 22931 (x / R(x,y,z)) * L(R(x,y,z),u,w) = a(w,u,R(x,y,z)) \ x. [hyper(236,a,14929,a(flip),b,22928,a)]. given #20748 (H,wt=24): 22932 (x / L(x,y,z)) * L(L(x,y,z),u,w) = a(w,u,L(x,y,z)) \ x. [hyper(236,a,14755,a(flip),b,22928,a)]. given #20749 (H,wt=22): 22943 a(x,y,z) * L(L(z,y,x),u,w) = a(w,u,L(z,y,x)) \ z. [para(22848(a,2),22932(a,1,1))]. given #20750 (H,wt=24): 22942 (R(x,y,z) \ x) * L(R(x,y,z),u,w) = a(w,u,R(x,y,z)) \ x. [hyper(6865,a,22931,a)]. given #20751 (H,wt=22): 22944 a(x,y,z) \ L(R(x,y,z),u,w) = a(w,u,R(x,y,z)) \ x. [hyper(236,a,22647,a(flip),b,22942,a(flip)),flip(a)]. given #20752 (H,wt=25): 22938 ((x * y) * L(L(z,y,x),u,w)) \ (x * (y * z)) = a(w,u,L(z,y,x)). [hyper(72,a,103,a(flip),b,22937,a)]. given #20753 (H,wt=22): 22945 (x * (y * L(z,u,w))) \ (x * (y * z)) = a(w,u,L(z,y,x)). [para(444(a,1),22938(a,1,1))]. given #20754 (H,wt=27): 22939 L(a(x,y,z),u * L(z,y,x),w) = (w * (u * L(z,y,x))) \ (w * (u * z)). [para(22937(a,1),28(a,2,2,2))]. given #20755 (H,wt=20): 22946 L(a(x,y,z),u * L(z,y,x),w) = a(x,y,L(z,u,w)). [hyper(236,a,22945,a(flip),b,22939,a)]. given #20756 (H,wt=20): 22947 a(x,y,L(z,u / L(z,y,x),w)) = L(a(x,y,z),u,w). [para(16(a,1),22946(a,1,2)),flip(a)]. given #20757 (H,wt=20): 22948 a(x,y,L(z,L(z,y,x) \ u,w)) = L(a(x,y,z),u,w). [para(11698(a,1),22947(a,1,3))]. given #20758 (H,wt=30): 22941 (x * (y * L(z,u,w))) \ (x * (y * z)) != v5 | L(a(w,u,z),y * L(z,u,w),x) = v5. [para(22937(a,1),447(a,1,2,2))]. given #20759 (H,wt=36): 22827 a((x * (y * K(z * y,z \ 1))) \ (x * (z * y)),u,w) = a(L(y / (z * y),z * y,x) \ 1,u,w). [para(5802(a,1),22826(a,1,1,1,2))]. given #20760 (H,wt=36): 22949 a(((x * y) \ (x * (z * y))) * K(z \ 1,z * y),u,w) = a(L(y / (z * y),z * y,x) \ 1,u,w). [hyper(22116,a,22827,a)]. given #20761 (H,wt=33): 22950 a(L(T(x,y),y,z) * K(x \ 1,x * y),u,w) = a(L(y / (x * y),x * y,z) \ 1,u,w). [para(178(a,1),22949(a,1,1,1))]. given #20762 (H,wt=31): 22951 a(L(x / (y * x),y * x,z) \ 1,u,w) = a(L(T(y,x),x,z) * K(y * x,y),u,w). [hyper(18927,a,22950,a),flip(a)]. given #20763 (H,wt=31): 22952 a(L(x / (y * x),y * x,z) \ 1,u,w) = a(L(T(y,x),x,z) * K(x * y,y),u,w). [para(5559(a,2),22951(a,2,1,2))]. given #20764 (H,wt=26): 22953 a(L(x / (y * x),y * x,z) \ 1,u,w) = a(L(R(y,x,y),x,z),u,w). [para(13456(a,1),22952(a,2,1))]. given #20765 (H,wt=23): 22954 a(L(x / (y * x),y * x,z) \ 1,u,w) = a(L(y,x,z),u,w). [hyper(236,a,13592,a(flip),b,22953,a)]. given #20766 (H,wt=21): 22956 L(a((x * y) / y,z,u),x * y,w) = a(L(x,y,w),z,u). [hyper(236,a,22830,a(flip),b,22954,a(flip)),flip(a)]. given #20767 (H,wt=17): 22957 L(a(x,y,z),x * u,w) = a(L(x,u,w),y,z). [para(15(a,1),22956(a,1,1,1))]. given #20768 (H,wt=37): 22878 (x \ L(x,y,z)) \ T(K(a(z,y,x),u) * (a(w,v5,v6) * u),a(z,y,x)) = (a(w,v5,v6) * a(z,y,x)) * u. [hyper(72,a,18781,a,b,22869,a)]. given #20769 (H,wt=37): 22959 (x \ L(x,y,z)) \ T(a(z,y,K(x,u)) * (a(w,v5,v6) * u),a(z,y,x)) = (a(w,v5,v6) * a(z,y,x)) * u. [para(13871(a,2),22878(a,1,2,1,1))]. given #20770 (H,wt=35): 22960 (x \ L(x,y,z)) \ T(a(u,w,v5) * L(v6,y,K(z,x)),a(z,y,x)) = (a(u,w,v5) * a(z,y,x)) * v6. [para(17829(a,1),22959(a,1,2,1))]. given #20771 (H,wt=35): 22961 (x \ L(x,y,z)) \ T(L(a(u,w,v5) * v6,y,K(z,x)),a(z,y,x)) = (a(u,w,v5) * a(z,y,x)) * v6. [para(22920(a,2),22960(a,1,2,1))]. given #20772 (H,wt=25): 22962 (x \ L(x,y,z)) \ (a(u,w,v5) * v6) = (a(u,w,v5) * a(z,y,x)) * v6. [para(14745(a,1),22961(a,1,2))]. given #20773 (H,wt=23): 22963 (a(x,y,z) * a(u,w,v5)) * v6 = a(u,w,v5) * (a(x,y,z) * v6). [hyper(22871,a,22962,a),flip(a)]. given #20774 (H,wt=28): 22965 a(x,y,z) * (a(u,w,v5) * L(v6,w,K(v5,u))) = (a(x,y,z) * v6) * a(u,w,v5). [hyper(236,a,22025,a(flip),b,22963,a(flip))]. given #20775 (H,wt=23): 22966 (a(x,y,z) * u) * a(w,v5,v6) = a(x,y,z) * (u * a(w,v5,v6)). [para(14682(a,1),22965(a,1,2)),flip(a)]. given #20776 (H,wt=15): 22967 L(a(x,y,z),u,a(w,v5,v6)) = a(x,y,z). [hyper(7030,a,22966,a)]. given #20777 (H,wt=15): 22969 a(L(x,y,a(z,u,w)),v5,v6) = a(x,v5,v6). [hyper(236,a,22957,a(flip),b,22967,a(flip)),flip(a)]. given #20778 (H,wt=15): 22970 a(x,y,L(z,u,a(w,v5,v6))) = a(x,y,z). [hyper(236,a,22946,a(flip),b,22967,a(flip)),flip(a)]. given #20779 (H,wt=23): 22971 a(x,y,z) \ L(R(x,y,z),u,a(w,v5,v6)) = L(x,u,a(w,v5,v6)). [para(22969(a,1),22642(a,1,1))]. given #20780 (H,wt=20): 22972 a(a(x,y,z),u,R(w,v5,v6)) \ w = L(w,u,a(x,y,z)). [hyper(236,a,22944,a(flip),b,22971,a(flip)),flip(a)]. given #20781 (H,wt=30): 22973 x / L(x,y,a(z,u,w)) = a(a(z,u,w),y,R(x,v5,v6)) * K(v7,a(a(v8,v9,v10),v11,v12)). [para(22972(a,1),21897(a,1,2))]. given #20782 (H,wt=28): 22974 a(a(x,y,z),u,R(w,v5,v6)) * K(v7,a(a(v8,v9,v10),v11,v12)) = a(a(x,y,z),u,w). [hyper(22849,a,22973,a),flip(a)]. given #20783 (H,wt=18): 22975 a(a(x,y,z),u,R(w,v5,v6)) = a(a(x,y,z),u,w). [hyper(21998,a,22974,a),flip(a)]. given #20784 (H,wt=22): 22976 a(a(x,y,z),u,R(w,v5,v6)) = v7 \ (a(a(x,y,z),u,w) * v7). [hyper(236,a,21924,a,b,22975,a)]. given #20785 (H,wt=32): 22977 a(a(x,y,z),u,R(w,v5,v6)) / L(a(a(x,y,z),u,w),v7,v8) = a(v8,v7,a(a(x,y,z),u,w)). [hyper(74,a,22975,a,b,22847,a)]. given #20786 (H,wt=34): 22978 a(a(x,y,z),u,R(w,v5,v6)) = L(L(w,u,a(x,y,z)),v7,v8) \ (a(v8,v7,L(w,u,a(x,y,z))) \ w). [para(22943(a,1),22976(a,2,2))]. given #20787 (H,wt=28): 22979 a(a(x,y,z),u,R(w,v5,v6)) = L(L(w,u,a(x,y,z)),v7,v8) \ (a(v8,v7,w) \ w). [para(22970(a,1),22978(a,2,2,1))]. given #20788 (H,wt=26): 22980 a(a(x,y,z),u,R(w,v5,v6)) = L(L(w,u,a(x,y,z)),v7,v8) \ L(w,v7,v8). [para(22844(a,2),22979(a,2,2))]. given #20789 (H,wt=21): 22982 a(a(x,y,z),u,R(w,v5,v6)) = a(a(x,y,z),u,L(w,v7,v8)). [hyper(236,a,22858,a(flip),b,22980,a)]. given #20790 (H,wt=23): 22983 a(a(x,y,z),u,R(w,v5,v6)) / L(a(a(x,y,z),u,w),v7,v8) = 1. [hyper(244,a,22948,a(flip),b,22982,a)]. -------- Proof 1 -------- "nil3 30, aa1-Nr". ============================== PROOF ================================= % Proof 1 at 5379.72 (+ 263.17) seconds: "nil3 30, aa1-Nr". % Length of proof is 19157. % Level of proof is 1045. % Maximum clause weight is 513.000 (71 w/o degradation). % Given clauses 20790 (19.895 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,y,a(a(z,u,w),v5,v6)) = 1 # label("nil3 30, aa1-Nr") # 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 a(a(x,y,z),u,w) = a(a(x,y,z),w,u) # label("aa1_45"). [assumption]. 48 a(c1,c2,a(a(c3,c4,c5),c6,c7)) != 1 # label("nil3 30, aa1-Nr") # answer("nil3 30, aa1-Nr"). [deny(10)]. 49 (1 * x) * 1 = x. [para(12(a,2),11(a,1))]. 50 1 \ x = x. [para(11(a,1),13(a,1,2))]. 51 x \ (1 * (x * y)) = y. [para(11(a,2),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 * (x \ (1 * y)) = y. [para(14(a,2),11(a,1))]. 56 x * (y * (y \ 1)) = x. [para(14(a,2),12(a,1,2))]. 57 x \ (y * (y \ (x * z))) = z. [para(14(a,2),13(a,1,2))]. 58 x * (y * (y \ (x \ z))) = z. [para(14(a,2),14(a,1,2))]. 59 x / x = 1. [para(11(a,1),15(a,1,1))]. 60 x / 1 = x. [para(12(a,1),15(a,1,1))]. 61 x * (((x \ y) * z) / z) = y. [para(15(a,2),14(a,1,2))]. 62 x / (y \ x) = y. [para(14(a,1),15(a,1,1))]. 63 ((1 / x) * x) * y = y. [para(16(a,2),11(a,1,1))]. 64 x * ((1 / y) * y) = x. [para(16(a,2),12(a,1,2))]. 65 (x / y) \ x = y. [para(16(a,1),13(a,1,2))]. 66 (x \ (x * (y / z))) * z = y. [para(13(a,2),16(a,1,1))]. 67 ((x * (x \ y)) / z) * z = y. [para(16(a,2),14(a,1))]. 68 (((x / y) / z) * z) * y = x. [para(16(a,2),16(a,1,1))]. 69 x != y | 1 * z != y | z = x. [para(11(a,1),17(a,1))]. 70 1 * x != y | z != y | z = x. [para(11(a,1),17(b,1))]. 71 x != y | x * z != y | 1 = z. [para(12(a,1),17(a,1)),flip(c)]. 72 x != y | z * u != y | z \ x = u. [para(14(a,1),17(a,1)),flip(c)]. 73 x != y | z * x != y | 1 = z. [para(11(a,1),18(a,1)),flip(c)]. 74 x != y | z * u != y | x / u = z. [para(16(a,1),18(a,1)),flip(c)]. 75 1 * x != y | y = x. [para(11(a,1),19(a,1)),flip(a)]. 76 1 * x != y | x = y. [para(11(a,1),19(a,2))]. 78 (x * y) * 1 != x * z | z = y. [para(12(a,2),19(a,2)),flip(a)]. 79 x \ (x * (y * z)) != y * u | u = z. [para(13(a,2),19(a,2)),flip(a)]. 80 x * y != z | x \ z = y. [para(14(a,1),19(a,1)),flip(a)]. 81 (x / y) * z != x | z = y. [para(16(a,1),19(a,2))]. 82 ((x * y) / z) * z != x * u | u = y. [para(16(a,2),19(a,2)),flip(a)]. 83 x * 1 != y | y = x. [para(12(a,1),20(a,1)),flip(a)]. 84 x * 1 != y | x = y. [para(12(a,1),20(a,2))]. 85 x \ (x * (y * z)) != u * z | u = y. [para(13(a,2),20(a,2)),flip(a)]. 86 x * (y \ z) != z | x = y. [para(14(a,1),20(a,2))]. 87 x * y != z | z / y = x. [para(16(a,1),20(a,1)),flip(a)]. 88 x * (y * (y \ z)) = x * z. [hyper(21,a,14,a)]. 89 ((x / y) * y) * z = x * z. [hyper(22,a,16,a)]. 90 (x * (x \ y)) * z = y * z. [hyper(22,a,14,a)]. 91 (x * (y * z)) * a(x,y,z) = (x * y) * z. [para(24(a,2),14(a,1,2))]. 92 (x * ((x \ y) * z)) \ (y * z) = a(x,x \ y,z). [para(14(a,1),24(a,2,2,1)),flip(a)]. 93 (x * y) \ ((x * (y / z)) * z) = a(x,y / z,z). [para(16(a,1),24(a,2,1,2)),flip(a)]. 94 ((x / y) * (y * z)) \ (x * z) = a(x / y,y,z). [para(16(a,1),24(a,2,2,1)),flip(a)]. 95 (x * y) * K(y,x) = y * x. [para(26(a,2),14(a,1,2))]. 96 x \ ((y \ x) * y) = K(y \ x,y). [para(14(a,1),26(a,2,1)),flip(a)]. 97 ((x \ y) * x) \ y = K(x,x \ y). [para(14(a,1),26(a,2,2)),flip(a)]. 98 x \ (y * (x / y)) = K(y,x / y). [para(16(a,1),26(a,2,1)),flip(a)]. 99 (x * (y / x)) \ y = K(y / x,x). [para(16(a,1),26(a,2,2)),flip(a)]. 100 x \ (1 * (x * y)) = L(y,x,1). [para(11(a,1),28(a,2,1)),flip(a)]. 101 (x * 1) \ (x * y) = L(y,1,x). [para(11(a,1),28(a,2,2,2)),flip(a)]. 102 (x * y) \ (x * y) = L(1,y,x). [para(12(a,1),28(a,2,2,2)),flip(a)]. 103 (x * y) * L(z,y,x) = x * (y * z). [para(28(a,2),14(a,1,2))]. 104 x \ (y * ((y \ x) * z)) = L(z,y \ x,y). [para(14(a,1),28(a,2,1)),flip(a)]. 105 L(x \ y,x,z) = (z * x) \ (z * y). [para(14(a,1),28(a,2,2,2))]. 107 (x * y) / (x * y) = R(1,x,y). [para(11(a,1),30(a,2,1,1)),flip(a)]. 108 ((x * 1) * y) / y = R(x,1,y). [para(11(a,1),30(a,2,2)),flip(a)]. 109 (x * y) / (y * 1) = R(x,y,1). [para(12(a,1),30(a,2,1)),flip(a)]. 110 R(x,x \ y,z) = (y * z) / ((x \ y) * z). [para(14(a,1),30(a,2,1,1))]. 111 R(x,y,(x * y) \ z) = z / (y * ((x * y) \ z)). [para(14(a,1),30(a,2,1))]. 112 ((x * y) * (y \ z)) / z = R(x,y,y \ z). [para(14(a,1),30(a,2,2)),flip(a)]. 113 R(x,y,z) * (y * z) = (x * y) * z. [para(30(a,2),16(a,1,1))]. 114 R(x / y,y,z) = (x * z) / (y * z). [para(16(a,1),30(a,2,1,1))]. 115 ((x * (y / z)) * z) / y = R(x,y / z,z). [para(16(a,1),30(a,2,2)),flip(a)]. 116 x * (y \ (z * y)) = x * T(z,y). [hyper(21,a,32,a),flip(a)]. 117 1 \ x = T(x,1). [para(12(a,1),32(a,2,2)),flip(a)]. 118 T(x,x) = x. [para(32(a,2),13(a,1))]. 119 x * T(y,x) = y * x. [para(32(a,2),14(a,1,2))]. 120 T(x,x \ y) = (x \ y) \ y. [para(14(a,1),32(a,2,2))]. 121 T(x / y,y) = y \ x. [para(16(a,1),32(a,2,2))]. 122 x * T(T(y,z),u) = x * T(T(y,u),z). [hyper(21,a,38,a)]. 123 L(T(T(x,y),z),u,w) = T(L(T(x,z),u,w),y). [para(38(a,1),40(a,1,1))]. 124 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)]. 125 (x * (x \ 1)) \ y = y. [para(14(a,2),50(a,1,1))]. 126 x * (y \ y) = x. [para(52(a,2),12(a,1,2))]. 127 K(x,x) = 1. [para(52(a,1),26(a,2))]. 128 (x \ x) \ y = y. [para(52(a,2),50(a,1,1))]. 129 x / (y * (y \ 1)) = x. [para(14(a,2),60(a,1,2))]. 130 x / ((1 / y) * y) = x. [para(16(a,2),60(a,1,2))]. 131 T(T(x,y),x) = T(x,y). [para(118(a,1),38(a,1,1)),flip(a)]. 132 T(L(x,y,z),x) = L(x,y,z). [para(118(a,1),40(a,1,1)),flip(a)]. 133 x * K(y,y) = x. [para(127(a,2),12(a,1,2))]. 134 (x / (y \ x)) * z = y * z. [hyper(22,a,62,a)]. 135 ((x * y) * z) / a(x,y,z) = x * (y * z). [para(24(a,2),62(a,1,2))]. 136 (x * y) / K(x,y) = y * x. [para(26(a,2),62(a,1,2))]. 137 (x * (y * z)) / L(z,y,x) = x * y. [para(28(a,2),62(a,1,2))]. 138 (x * y) / T(x,y) = y. [para(32(a,2),62(a,1,2))]. 139 x / (y / ((z \ x) \ y)) = z. [para(62(a,2),62(a,1,2))]. 140 ((x / y) \ x) * z = y * z. [hyper(22,a,65,a)]. 141 (x / (1 * y)) \ x = y. [hyper(17,a,11,a,b,65,a(flip)),flip(a)]. 142 x * ((y / (x \ z)) \ y) = z. [para(65(a,2),14(a,1,2))]. 143 R(x,y,z) \ ((x * y) * z) = y * z. [para(30(a,2),65(a,1,1))]. 144 ((x / (y / z)) \ x) \ y = z. [para(65(a,2),65(a,1,1))]. 145 T(x,1) = x. [para(117(a,1),50(a,1))]. 146 K(x,1) = 1. [hyper(36,a,145,a)]. 147 T(1,x) = 1. [hyper(35,a,145,a)]. 148 T(x,y \ y) = x. [para(52(a,2),145(a,1,2))]. 149 K(1,x) = 1. [hyper(36,a,147,a)]. 150 x * (y \ y) != z | x = z. [para(126(a,1),20(a,2))]. 151 (x * (x \ 1)) * y != z | z = y. [para(14(a,2),75(a,1,1))]. 152 ((1 / x) * x) * y != z | z = y. [para(16(a,2),75(a,1,1))]. 153 ((1 / x) * x) * y != z | y = z. [para(16(a,2),76(a,1,1))]. 154 x * (y * (y \ 1)) != z | z = x. [para(14(a,2),83(a,1,2))]. 156 R(x,x \ 1,y) = y / ((x \ 1) * y). [para(54(a,1),30(a,2,1))]. 157 x \ ((x * y) * (y \ 1)) = a(x,y,y \ 1). [para(56(a,1),24(a,2,1)),flip(a)]. 158 L(x \ 1,x,y) = (y * x) \ y. [para(56(a,1),28(a,2,2))]. 159 R(1 / x,x,y) = y / (x * y). [para(63(a,1),30(a,2,1))]. 160 x \ ((x * (1 / y)) * y) = a(x,1 / y,y). [para(64(a,1),24(a,2,1)),flip(a)]. 161 x * (y * T(z,y)) = x * (z * y). [hyper(21,a,119,a)]. 162 T((x * y) / x,x) = y. [hyper(17,a,16,a(flip),b,119,a)]. 163 (x * T(y,x)) / x = y. [hyper(18,a,16,a,b,119,a(flip)),flip(a)]. 164 x \ (y * T(x,y)) = y. [hyper(17,a,14,a,b,119,a(flip)),flip(a)]. 165 (x \ y) * T(x,x \ y) = y. [para(119(a,2),14(a,1))]. 166 x * (y * (y \ T(z,x))) = z * x. [para(14(a,2),119(a,1,2))]. 167 x * T(y / x,x) = y. [para(119(a,2),16(a,1))]. 168 x * y != z | y * u != z | T(x,y) = u. [para(119(a,1),17(a,1)),flip(c)]. 169 x * y != z * x | T(z,x) = y. [para(119(a,1),19(a,1)),flip(a)]. 170 x * T(y,x) != y * z | z = x. [para(119(a,2),19(a,2)),flip(a)]. 171 x * T(y,z) != y * z | x = z. [para(119(a,1),20(a,2))]. 172 x * T(y,x) != z * x | z = y. [para(119(a,2),20(a,2)),flip(a)]. 173 (x * (y * z)) \ ((x * z) * T(y,z)) = a(x,z,T(y,z)). [para(119(a,1),24(a,2,1,2)),flip(a)]. 174 (x * (T(y,x) * z)) \ ((y * x) * z) = a(x,T(y,x),z). [para(119(a,1),24(a,2,2,1)),flip(a)]. 175 (x * (y * T(z,x * y))) \ (z * (x * y)) = a(x,y,T(z,x * y)). [para(119(a,1),24(a,2,2)),flip(a)]. 176 (x * y) \ (T(x,y) * y) = K(T(x,y),y). [para(119(a,1),26(a,2,1)),flip(a)]. 177 (x * y) \ (y * (T(x,y) * z)) = L(z,T(x,y),y). [para(119(a,1),28(a,2,1)),flip(a)]. 178 (x * y) \ (x * (z * y)) = L(T(z,y),y,x). [para(119(a,1),28(a,2,2,2)),flip(a)]. 180 x * T(T(y,x),z) = T(y,z) * x. [para(38(a,1),119(a,1,2))]. 181 x * L(T(y,x),z,u) = L(y,z,u) * x. [para(40(a,2),119(a,1,2))]. 182 x * R(T(y,x),z,u) = R(y,z,u) * x. [para(42(a,2),119(a,1,2))]. 183 T(T(x / y,z),y) = T(y \ x,z). [para(121(a,1),38(a,1,1)),flip(a)]. 184 T(L(x / y,z,u),y) = L(y \ x,z,u). [para(121(a,1),40(a,1,1)),flip(a)]. 185 T(R(x / y,z,u),y) = R(y \ x,z,u). [para(121(a,1),42(a,1,1)),flip(a)]. 186 T(x / (x / y),x / y) = y. [para(121(a,2),65(a,1))]. 187 K(x \ 1,x) = (x \ 1) * x. [para(125(a,1),26(a,2))]. 188 x * ((x \ 1) * y) = L(y,x \ 1,x). [para(125(a,1),28(a,2)),flip(a)]. 189 (x * y) * (y \ 1) = R(x,y,y \ 1). [para(129(a,1),30(a,2)),flip(a)]. 190 (x * (1 / y)) * y = R(x,1 / y,y). [para(130(a,1),30(a,2)),flip(a)]. 191 K(T(x,y),x) = 1. [hyper(36,a,131,a)]. 192 T(x,T(x,y)) = x. [hyper(35,a,131,a)]. 193 T(T(T(x,y),z),x) = T(T(x,y),z). [para(131(a,1),38(a,1,1)),flip(a)]. 194 T(x,y) * x = x * T(x,y). [para(131(a,1),119(a,1,2)),flip(a)]. 195 K(x,T(x,y)) = 1. [hyper(36,a,192,a)]. 196 T(x / y,y \ x) = x / y. [para(121(a,1),192(a,1,2))]. 197 x / T(y,y \ x) = y \ x. [para(14(a,1),138(a,1,1))]. 198 (T(x,y) * z) / T(T(x,z),y) = z. [para(38(a,1),138(a,1,2))]. 199 (x * y) / T(y,T(x,y)) = T(x,y). [para(119(a,1),138(a,1,1))]. 200 (x / (1 * y)) * y = x. [para(141(a,1),14(a,1,2))]. 201 T(T((x * y) / x,z),x) = T(y,z). [para(162(a,1),38(a,1,1)),flip(a)]. 202 K(x,(y * x) / y) = 1. [para(162(a,1),191(a,1,1))]. 204 (x * T(T(y,x),z)) / x = T(y,z). [para(38(a,1),163(a,1,1,2))]. 205 L(x,y,z) \ (u * L(T(x,u),y,z)) = u. [para(40(a,2),164(a,1,2,2))]. 206 T(x,(y * x) / y) = x. [hyper(37,a,202,a)]. 207 x * y != z | T(x,y) = y \ z. [para(119(a,1),80(a,1)),flip(b)]. 210 x \ x != y | 1 = y. [para(11(a,1),150(a,1))]. 211 x \ (y * (y \ x)) = 1. [para(12(a,1),57(a,1,2,2,2))]. 212 x \ ((x * y) * L(z,y,x)) = y * z. [para(28(a,2),57(a,1,2,2))]. 213 x * (x \ y) = y * 1. [para(211(a,1),14(a,1,2)),flip(a)]. 214 x * 1 != y * z | y \ x = z. [para(213(a,1),19(a,1))]. 216 x * (x \ y) != z | z = y. [para(213(a,2),83(a,1))]. 217 1 \ x != y | y = x. [para(11(a,1),216(a,1))]. 219 (x * y) * L(z,y,x) != u | x * (y * z) = u. [para(28(a,2),216(a,1,2)),flip(b)]. 220 x * T(y,x) != z | y * x = z. [para(32(a,2),216(a,1,2)),flip(b)]. 221 (x / y) * y != z | z = x. [para(65(a,1),216(a,1,2))]. 222 x * y != z | y * T(x,y) = z. [para(164(a,1),216(a,1,2)),flip(b)]. 223 T(x,1) != y | y = x. [para(117(a,1),217(a,1))]. 224 x / 1 != y | y = x. [para(12(a,1),221(a,1))]. 225 R(x,y,z) * (y * z) != u | (x * y) * z = u. [para(30(a,2),221(a,1,1)),flip(b)]. 226 x / (y * (y \ 1)) != z | z = x. [para(56(a,1),221(a,1))]. 227 L(x \ (y \ z),x,y) = (y * x) \ z. [para(58(a,1),28(a,2,2))]. 228 ((x * (x \ y)) / z) \ y = z. [hyper(80,a,67,a)]. 229 (x / y) * y = 1 * x. [para(55(a,1),67(a,1,1,1))]. 230 (1 * x) / y = x / y. [hyper(87,a,229,a)]. 231 1 * x != y * z | x / z = y. [para(229(a,1),20(a,1))]. 232 (x / y) * y != z | x = z. [para(229(a,2),76(a,1))]. 233 (x / ((y / z) * z)) * y = x. [para(229(a,2),200(a,1,1,2))]. 234 ((x / y) * y) / z = x / z. [para(229(a,2),230(a,1,1))]. 235 R((x / y) / z,z,y) = x / (z * y). [para(68(a,1),30(a,2,1))]. 236 x != y | z != y | z = x. [para(11(a,1),69(b,1))]. 237 T(x \ y,1) = T(y / x,x). [hyper(236,a,145,a,b,121,a),flip(a)]. 238 (x / y) \ x = z * (z \ y). [hyper(236,a,65,a,b,14,a),flip(a)]. 239 (x * y) / y = z / (x \ z). [hyper(236,a,62,a,b,15,a)]. 240 x / (y \ x) = z * (z \ y). [hyper(236,a,62,a,b,14,a),flip(a)]. 241 (x * y) / y = (x / z) * z. [hyper(236,a,16,a,b,15,a)]. 242 x \ (x * y) = z * (z \ y). [hyper(236,a,14,a,b,13,a)]. 243 x != y | z != y | x \ z = 1. [para(14(a,1),71(b,1)),flip(c)]. 244 x != y | z != y | z / x = 1. [para(16(a,1),73(b,1)),flip(c)]. 245 (x / (y * (y \ z))) * z = x. [hyper(232,a,88,a),flip(a)]. 246 ((x / y) * y) * z != u | x \ u = z. [para(89(a,2),80(a,1))]. 247 ((x \ y) * x) * K(x,x \ y) = y. [hyper(236,a,14,a(flip),b,95,a)]. 248 K(x,1 / x) = x * (1 / x). [hyper(17,a,63,a,b,95,a)]. 249 x * K(y \ x,y) = (y \ x) * y. [hyper(236,a,90,a(flip),b,95,a(flip)),flip(a)]. 250 x * K(y,x / y) = y * (x / y). [hyper(236,a,89,a(flip),b,95,a(flip)),flip(a)]. 251 (x * y) * z != y * x | K(y,x) = z. [para(95(a,1),19(a,1)),flip(a)]. 253 (x * (y * z)) \ (x * (z * y)) = L(K(z,y),y * z,x). [para(95(a,1),28(a,2,2,2)),flip(a)]. 255 (x * y) / T(y * x,K(x,y)) = K(x,y). [para(95(a,1),138(a,1,1))]. 256 T(x,x \ y) * z = ((x \ y) \ y) * z. [hyper(22,a,120,a)]. 257 x * T(y,y \ z) = x * ((y \ z) \ z). [hyper(21,a,120,a)]. 258 (x \ y) \ y = z * (z \ T(x,x \ y)). [hyper(236,a,14,a,b,120,a(flip))]. 259 T(T(x,y),x \ z) = T((x \ z) \ z,y). [para(120(a,1),38(a,1,1)),flip(a)]. 260 T(L(x,y,z),x \ u) = L((x \ u) \ u,y,z). [para(120(a,1),40(a,1,1)),flip(a)]. 263 T(x,L(x,y,z)) = x. [hyper(35,a,132,a)]. 264 K(x,L(x,y,z)) = 1. [hyper(36,a,263,a)]. 265 ((x / y) \ x) * (y \ z) = z. [hyper(236,a,14,a(flip),b,140,a)]. 266 x * (((y / x) \ y) \ z) = z. [hyper(216,a,140,a)]. 267 (x / y) * ((z / y) \ z) = x. [para(65(a,1),142(a,1,2,1,2))]. 268 (x \ y) * z != y | T(x,x \ y) = z. [para(165(a,1),19(a,1)),flip(a)]. 269 L(T(x,x \ y),x \ y,z) = (z * (x \ y)) \ (z * y). [para(165(a,1),28(a,2,2,2))]. 270 T(x / (x / y),(z / (x / y)) \ z) = y. [para(65(a,2),186(a,1,2))]. 271 T(x / (x / y),y) = x / (x / y). [para(186(a,1),192(a,1,2))]. 272 x * T(x \ 1,x) = K(x \ 1,x). [hyper(236,a,119,a,b,187,a),flip(a)]. 273 (x \ 1) \ K(x \ 1,x) = x. [hyper(80,a,187,a(flip))]. 275 (x * K(y \ 1,y)) \ ((x * (y \ 1)) * y) = a(x,y \ 1,y). [para(187(a,2),24(a,2,1,2)),flip(a)]. 276 (K(x \ 1,x) * y) / (x * y) = R(x \ 1,x,y). [para(187(a,2),30(a,2,1,1)),flip(a)]. 277 R(x,y,(x * y) \ z) \ z = y * ((x * y) \ z). [para(30(a,2),228(a,1,1))]. 278 R(x,y / z,z) * y = (x * (y / z)) * z. [para(30(a,2),233(a,1,1))]. 279 x / (y \ ((x / z) * z)) = y. [hyper(236,a,62,a(flip),b,234,a(flip))]. 280 T(x / y,y) != z | y \ x = z. [para(237(a,1),223(a,1)),flip(b)]. 281 (x / y) \ x != z * u | z \ y = u. [para(238(a,2),19(a,1))]. 282 (x / y) \ x != z | z = y. [para(238(a,2),216(a,1))]. 283 x \ (x * y) != z | z = y. [para(15(a,1),282(a,1,1))]. 284 x \ (y * x) != z | T(y,x) = z. [para(138(a,1),282(a,1,1)),flip(b)]. 285 (x * y) \ (y * x) != z | K(y,x) = z. [para(136(a,1),282(a,1,1)),flip(b)]. 287 T((x * y) / x,x) != z | z = y. [para(121(a,2),283(a,1))]. 290 (x / (y \ x)) * z != u | y * z = u. [para(239(a,1),221(a,1,1)),flip(b)]. 291 (x / (y \ x)) \ z = y \ z. [para(239(a,1),228(a,1,1))]. 292 x / (y \ x) != z * u | z \ y = u. [para(240(a,2),19(a,1))]. 293 (x * (x \ y)) \ z = y \ z. [para(240(a,1),65(a,1,1))]. 294 x / (y \ x) != z | z = y. [para(240(a,2),216(a,1))]. 295 (x * (x \ y)) \ z != u | y \ z = u. [para(240(a,1),282(a,1,1)),flip(b)]. 296 (x * y) / y != z | z = x. [para(13(a,1),294(a,1,2))]. 297 (x * (y * z)) / L(z,y,x) != u | x * y = u. [para(28(a,2),294(a,1,2)),flip(b)]. 298 (x * y) / T(x,y) != z | z = y. [para(32(a,2),294(a,1,2))]. 299 x / x != y | 1 = y. [para(50(a,1),294(a,1,2)),flip(b)]. 300 (x * T(y,x)) / x != z | z = y. [para(164(a,1),294(a,1,2))]. 301 (1 * x) / y != z | x / y = z. [para(229(a,1),296(a,1,1)),flip(b)]. 302 (x * y) / y != z * u | x / u = z. [para(241(a,2),20(a,1))]. 303 ((x / y) * y) * z != u | x * z = u. [para(241(a,1),221(a,1,1)),flip(b)]. 304 (x * y) / y != z | x = z. [para(241(a,2),232(a,1))]. 305 x \ (x * y) != z * u | z \ y = u. [para(242(a,2),19(a,1))]. 306 x \ (x * y) != z | y = z. [para(242(a,2),150(a,1))]. 307 x * (y * (y \ z)) != u | x * z = u. [para(242(a,1),216(a,1,2)),flip(b)]. 308 1 \ x != y | x = y. [para(11(a,1),306(a,1,2))]. 309 R(x,y,y \ z) * z = (x * y) * (y \ z). [para(30(a,2),245(a,1,1))]. 310 K(x,1 / x) \ (x * ((1 / x) * y)) = L(y,1 / x,x). [para(248(a,2),28(a,2,1)),flip(a)]. 311 ((x \ y) \ y) * (T(x,x \ y) \ z) = z. [para(197(a,1),265(a,1,1,1))]. 312 x * ((y / z) \ y) != u | u / z = x. [para(267(a,1),20(a,1)),flip(a)]. 313 (x / T(y,y \ z)) * ((y \ z) \ z) = x. [para(197(a,1),267(a,1,2,1))]. 314 (x \ 1) * x != y | K(x \ 1,x) = y. [para(273(a,1),216(a,1,2)),flip(b)]. 315 x / L(y,z,x / (z * y)) = (x / (z * y)) * z. [para(28(a,2),279(a,1,2))]. 316 1 * x != y * 1 | x = y. [para(11(a,1),78(a,1,1)),flip(a)]. 317 x * y != x * z | z = y. [para(12(a,1),78(a,1))]. 318 1 * x != y | 1 * y = x. [para(49(a,1),316(a,2)),flip(b)]. 319 x != y | 1 * y = x. [para(11(a,1),318(a,1))]. 320 L(x,y,1) = x. [hyper(236,a,51,a(flip),b,100,a(flip))]. 321 L(x,y,1) = x / 1. [hyper(236,a,60,a,b,320,a)]. 323 L(x,y,1) != z | z = x. [para(321(a,2),224(a,1))]. 324 x \ (x * y) = L(y,1,x). [para(12(a,1),101(a,1,1))]. 325 L(x,1,y) = x. [hyper(306,a,324,a),flip(a)]. 326 L(x,1,y) != z | z = x. [para(324(a,1),283(a,1))]. 328 a(x,1,y) = 1. [hyper(34,a,325,a)]. 329 L(1,x,y) = 1. [hyper(210,a,102,a),flip(a)]. 332 a(x,y,1) = 1. [hyper(34,a,329,a)]. 333 a(x,y,K(z,z)) = 1. [para(127(a,2),332(a,1,3))]. 334 R(1,x,y) = 1. [hyper(299,a,107,a),flip(a)]. 337 (x * y) / y = R(x,1,y). [para(12(a,1),108(a,1,1,1))]. 338 R(x,1,y) = x. [hyper(304,a,337,a),flip(a)]. 341 (x * y) / y = R(x,y,1). [para(12(a,1),109(a,1,2))]. 342 R(x,y,1) = x. [hyper(304,a,341,a),flip(a)]. 343 R(x,y,1) != z | z = x. [para(341(a,1),296(a,1))]. 346 ((x * y) \ x) / L(y \ 1,y,x) = 1. [hyper(244,a,158,a,b,xx)]. 347 L((x \ y) \ 1,x \ y,x) = y \ x. [hyper(236,a,293,a(flip),b,158,a)]. 348 x * L(y \ 1,y,z) = x * ((z * y) \ z). [hyper(21,a,158,a)]. 349 (x * y) * L(y \ 1,y,x) = x. [para(158(a,2),14(a,1,2))]. 350 L(x \ 1,x,y / x) = y \ (y / x). [para(16(a,1),158(a,2,1))]. 351 T((x * y) \ x,z) = L(T(y \ 1,z),y,x). [para(158(a,1),40(a,2,1)),flip(a)]. 352 L(L(x \ 1,y,z),x,u) = L((u * x) \ u,y,z). [para(158(a,1),45(a,1,1)),flip(a)]. 353 x / L(y \ 1,y,x) = x * y. [para(158(a,2),62(a,1,2))]. 354 R(1 / x,x,x \ y) = (x \ y) / y. [para(14(a,1),159(a,2,2))]. 355 R(1 / (x / y),x / y,y) = y / x. [para(16(a,1),159(a,2,2))]. 356 T(x / (y * x),z) = R(T(1 / y,z),y,x). [para(159(a,1),42(a,2,1)),flip(a)]. 357 R(R(1 / x,y,z),x,u) = R(u / (x * u),y,z). [para(159(a,1),46(a,1,1)),flip(a)]. 358 R(1 / x,x,y) \ y = x * y. [para(159(a,2),65(a,1,1))]. 359 ((x * y) / z) * z != y * u | T(x,y) = u. [para(16(a,2),169(a,2)),flip(a)]. 360 T(x,y) * z != x * y | T(y,T(x,y)) = z. [para(119(a,1),169(a,2))]. 365 x * T(T(y,x),z) != u * x | T(y,z) = u. [para(38(a,1),172(a,1,2)),flip(b)]. 366 x * (y * (y \ 1)) != z * u | z \ x = u. [para(14(a,2),214(a,1,2))]. 367 x * (x \ y) != z * u | z \ y = u. [para(213(a,2),214(a,1))]. 368 x * T(T(y,x),z) != u | T(y,z) * x = u. [para(38(a,1),220(a,1,2))]. 369 x * L(T(y,x),z,u) != w | L(y,z,u) * x = w. [para(40(a,2),220(a,1,2))]. 370 x * R(T(y,x),z,u) != w | R(y,z,u) * x = w. [para(42(a,2),220(a,1,2))]. 371 R(x,y,y \ 1) != z | (x * y) * (y \ 1) = z. [para(30(a,2),226(a,1)),flip(b)]. 373 ((1 / x) * x) * y != z * u | y / u = z. [para(16(a,2),231(a,1,1))]. 374 (x / y) * y != z * u | x / u = z. [para(229(a,2),231(a,1))]. 375 T(x,x \ y) != z | (x \ y) \ y = z. [para(62(a,1),280(a,1,1))]. 376 T(x,T(y,x)) != z | T(y,x) \ (y * x) = z. [para(138(a,1),280(a,1,1))]. 377 T(x * y,K(y,x)) != z | K(y,x) \ (y * x) = z. [para(136(a,1),280(a,1,1))]. 378 T(x \ y,T(x,x \ y)) != z | T(x,x \ y) \ y = z. [para(197(a,1),280(a,1,1))]. 379 ((x / y) * y) / z != u | x / z = u. [para(229(a,2),301(a,1,1))]. 380 L(x \ 1,x,1 / x) = 1 / x. [hyper(153,a,349,a)]. 381 (x * y) * z != x | L(y \ 1,y,x) = z. [para(349(a,1),19(a,1)),flip(a)]. 382 L(L(x \ 1,x,y),y * x,z) = (z * (y * x)) \ (z * y). [para(349(a,1),28(a,2,2,2))]. 383 (x * y) \ x != z | L(y \ 1,y,x) = z. [para(349(a,1),283(a,1,2)),flip(b)]. 384 x / L(y,1 / y,x) = x * (1 / y). [para(65(a,1),353(a,1,2,1))]. 385 ((x * y) \ x) * (L(y \ 1,y,x) \ z) = z. [para(353(a,1),265(a,1,1,1))]. 386 L(x \ 1,x,y) * (((y * x) \ y) \ z) = z. [para(353(a,1),266(a,1,2,1,1))]. 387 R(x,x \ 1,y) \ y = (x \ 1) * y. [para(62(a,1),358(a,1,1,1))]. 388 x / (y * x) != z | R(1 / y,y,x) = z. [para(358(a,1),294(a,1,2)),flip(b)]. 389 L(T(x \ 1,y),x,1 / x) = T(1 / x,y). [para(380(a,1),40(a,2,1))]. 391 (x * y) \ R(x,y,y \ 1) = y \ 1. [hyper(72,a,30,a,b,129,a(flip))]. 392 x \ L(y,x \ 1,x) = (x \ 1) * y. [hyper(72,a,28,a,b,125,a(flip))]. 393 (T(x,x \ y) / z) \ ((x \ y) \ y) = z. [hyper(72,a,120,a(flip),b,16,a)]. 394 x != y | z * u != y | T(z,u) = u \ x. [para(119(a,1),72(b,1)),flip(c)]. 395 R(x,y,y \ 1) / (y \ 1) = x * y. [hyper(74,a,30,a,b,129,a(flip))]. 396 L(x,y \ 1,y) / ((y \ 1) * x) = y. [hyper(74,a,28,a,b,125,a(flip))]. 397 K(x,y) = (y * x) \ ((y \ (y * x)) * y). [para(13(a,1),96(a,2,1)),flip(a)]. 398 x \ (y * T(y \ x,y)) = K(y \ x,y). [para(119(a,2),96(a,1,2))]. 400 K(x \ 1,x) != y | (x \ 1) * x = y. [para(96(a,1),217(a,1)),flip(b)]. 401 K(x \ 1,x) \ 1 = K(x,x \ 1). [para(187(a,2),97(a,1,1))]. 402 L(x \ T(y,z),x,z) = (z * x) \ (y * z). [para(166(a,1),28(a,2,2))]. 403 x * T(x \ (y * x),z) = T(y,z) * x. [para(32(a,1),180(a,1,2,1))]. 404 x * T(T(T(y,x),z),u) = T(T(y,z),u) * x. [para(38(a,1),180(a,1,2,1))]. 405 T(x / y,z) * y = y * T(y \ x,z). [para(121(a,1),180(a,1,2,1)),flip(a)]. 406 T((x * y) / x,z) * x = x * T(y,z). [para(162(a,1),180(a,1,2,1)),flip(a)]. 407 (x \ y) * T((x \ y) \ y,z) = T(x,z) * (x \ y). [para(120(a,1),180(a,1,2,1))]. 408 (x * T(x \ y,z)) / x = T(y / x,z). [para(183(a,1),163(a,1,1,2))]. 409 x * T(x \ y,z) != u | T(y / x,z) * x = u. [para(183(a,1),220(a,1,2))]. 410 (x * T(x \ y,z)) / x != u | T(y / x,z) = u. [para(183(a,1),300(a,1,1,2)),flip(b)]. 411 T(x,T(T(x,y),z)) = x. [hyper(35,a,193,a)]. 412 (x * T(y,z)) / x = T((x * y) / x,z). [para(201(a,1),163(a,1,1,2))]. 414 x * T(y,z) != u * x | T((x * y) / x,z) = u. [para(201(a,1),172(a,1,2)),flip(b)]. 415 (x * T(y,z)) / x != u | T((x * y) / x,z) = u. [para(201(a,1),300(a,1,1,2)),flip(b)]. 416 ((x / y) * T(y,z)) / (x / y) = T(x / (x / y),z). [para(186(a,1),204(a,1,1,2,1))]. 417 T(T(x,y),z) != u | T(T(x,z),y) = u. [para(204(a,1),287(a,1,1)),flip(b)]. 420 (x * y) \ (x * ((z \ y) * z)) = L(K(z \ y,z),y,x). [para(249(a,1),28(a,2,2,2)),flip(a)]. 421 x \ ((y \ x) * y) != z | K(y \ x,y) = z. [para(249(a,1),283(a,1,2)),flip(b)]. 422 K(x \ y,x) * z != (x \ y) * x | T(y,K(x \ y,x)) = z. [para(249(a,1),169(a,2))]. 423 x \ (y * (x / y)) != z | K(y,x / y) = z. [para(250(a,1),283(a,1,2)),flip(b)]. 424 x \ x != y * z | y \ 1 = z. [para(56(a,1),79(a,1,2)),flip(b)]. 427 (x / y) * y != z * u | z \ x = u. [para(14(a,1),82(a,1,1,1)),flip(b)]. 428 x \ (x * y) != z * u | y / u = z. [para(16(a,1),85(a,1,2,2)),flip(b)]. 429 x \ x != y * z | 1 / z = y. [para(64(a,1),85(a,1,2)),flip(b)]. 430 (1 / x) * (x * y) = L(y,x,1 / x). [hyper(153,a,103,a),flip(a)]. 431 (x * (y * z)) / L(T(y,z),z,x) = x * z. [hyper(74,a,161,a(flip),b,103,a)]. 432 L(x \ T(y * x,y),x,y) = y. [hyper(17,a,166,a(flip),b,103,a)]. 433 x * L(y,z \ x,z) = z * ((z \ x) * y). [hyper(236,a,90,a(flip),b,103,a(flip)),flip(a)]. 434 x * L(y,z,x / z) = (x / z) * (z * y). [hyper(236,a,89,a(flip),b,103,a(flip)),flip(a)]. 435 (1 / x) \ L(y,x,1 / x) = x * y. [hyper(72,a,63,a(flip),b,103,a(flip))]. 436 (x * y) * z != x * (y * u) | L(u,y,x) = z. [para(103(a,1),19(a,1)),flip(a)]. 437 (x * y) * L(z,y,x) != x * u | y * z = u. [para(103(a,2),19(a,1))]. 439 (x * (y * z)) \ ((x * y) * (L(z,y,x) * u)) = L(u,L(z,y,x),x * y). [para(103(a,1),28(a,2,1)),flip(a)]. 440 (x * (y * z)) \ (x * (y * (z * u))) = L(L(u,z,y),y * z,x). [para(103(a,1),28(a,2,2,2)),flip(a)]. 442 (x * y) * T(L(z,y,x),u) = x * (y * T(z,u)). [para(40(a,1),103(a,1,2))]. 443 (x * y) * R(L(z,y,x),u,w) = x * (y * R(z,u,w)). [para(44(a,2),103(a,1,2))]. 444 (x * y) * L(L(z,y,x),u,w) = x * (y * L(z,u,w)). [para(45(a,1),103(a,1,2))]. 445 (x * y) * L(z,T(x,y),y) = y * (T(x,y) * z). [para(119(a,1),103(a,1,1))]. 446 K(x \ 1,x) * L(y,x,x \ 1) = (x \ 1) * (x * y). [para(187(a,2),103(a,1,1))]. 447 (x * y) \ (x * (y * z)) != u | L(z,y,x) = u. [para(103(a,1),283(a,1,2)),flip(b)]. 448 x * ((x \ 1) * y) != z | L(y,x \ 1,x) = z. [para(103(a,1),151(a,1)),flip(b)]. 449 (1 / x) * (x * y) != z | L(y,x,1 / x) = z. [para(103(a,1),152(a,1)),flip(b)]. 450 L((x \ y) \ z,x \ y,x) = y \ (x * z). [hyper(236,a,293,a(flip),b,105,a)]. 451 L((x \ 1) \ y,x \ 1,x) = x * y. [hyper(236,a,125,a(flip),b,105,a)]. 452 L(x \ ((y * x) / y),x,y) = K(y,(y * x) / y). [hyper(236,a,98,a(flip),b,105,a)]. 453 L(x \ y,x,z / x) = z \ ((z / x) * y). [para(16(a,1),105(a,2,1))]. 454 L(x \ y,x,z / y) = ((z / y) * x) \ z. [para(16(a,1),105(a,2,2))]. 455 (x * (y * (z * u))) \ (x * ((y * z) * u)) = L(a(y,z,u),y * (z * u),x). [para(24(a,2),105(a,1,1)),flip(a)]. 456 T((x * y) \ (x * z),u) = L(T(y \ z,u),y,x). [para(105(a,1),40(a,2,1)),flip(a)]. 457 L(T(x,y) \ z,T(x,y),y) = (x * y) \ (y * z). [para(119(a,1),105(a,2,1))]. 458 L(x \ (1 / y),x,y) = (y * x) \ K(y,1 / y). [para(248(a,2),105(a,2,2))]. 459 x / L(y \ z,y,x / z) = (x / z) * y. [para(105(a,2),279(a,1,2))]. 460 L(L(x,y,z) \ u,L(x,y,z),z * y) = (z * (y * x)) \ ((z * y) * u). [para(103(a,1),105(a,2,1))]. 461 L(x \ L(y,z,u),x,u * z) = ((u * z) * x) \ (u * (z * y)). [para(103(a,1),105(a,2,2))]. 462 (R(x,y,z) * (y * z)) / z = x * y. [hyper(74,a,113,a,b,xx)]. 463 R(x,x \ y,z) \ (y * z) = (x \ y) * z. [hyper(72,a,90,a(flip),b,113,a)]. 464 R(x / y,y,z) \ (x * z) = y * z. [hyper(72,a,89,a(flip),b,113,a)]. 465 R(x,y,T(z,y)) * (z * y) = (x * y) * T(z,y). [hyper(236,a,161,a(flip),b,113,a(flip)),flip(a)]. 466 (R(x,y,z) * y) \ ((x * y) * z) = L(z,y,R(x,y,z)). [hyper(72,a,113,a(flip),b,103,a)]. 467 (x * y) * z != u * (y * z) | R(x,y,z) = u. [para(113(a,1),20(a,1))]. 468 (((x * y) * z) * u) / ((y * z) * u) = R(R(x,y,z),y * z,u). [para(113(a,1),30(a,2,1,1)),flip(a)]. 469 ((x * R(y,z,u)) * (z * u)) / ((y * z) * u) = R(x,R(y,z,u),z * u). [para(113(a,1),30(a,2,2)),flip(a)]. 470 T(R(x,y,z),u) * (y * z) = (T(x,u) * y) * z. [para(42(a,1),113(a,1,1))]. 471 L(R(x,y,z),u,w) * (y * z) = (L(x,u,w) * y) * z. [para(44(a,1),113(a,1,1))]. 472 R(R(x,y,z),u,w) * (y * z) = (R(x,u,w) * y) * z. [para(46(a,1),113(a,1,1))]. 473 ((x * y) * z) * K(y * z,R(x,y,z)) = (y * z) * R(x,y,z). [para(113(a,1),95(a,1,1))]. 474 R(x,y * z,K(z,y)) * (z * y) = (x * (y * z)) * K(z,y). [para(95(a,1),113(a,1,2))]. 475 ((x * y) * z) / (y * z) != u | R(x,y,z) = u. [para(113(a,1),296(a,1,1)),flip(b)]. 476 (R(x,y,z) * (y * z)) / z != u | x * y = u. [para(113(a,2),296(a,1,1)),flip(b)]. 477 (x * y) * (y \ 1) != z | R(x,y,y \ 1) = z. [para(113(a,1),154(a,1)),flip(b)]. 479 R(x,y,z) * (y * z) != z * u | T(x * y,z) = u. [para(113(a,2),169(a,2)),flip(a)]. 480 R(x,R(y,z,u),z * u) * ((y * z) * u) = (x * R(y,z,u)) * (z * u). [para(113(a,1),113(a,1,2))]. 481 R(x / (1 / y),1 / y,y) = x * y. [hyper(236,a,130,a(flip),b,114,a)]. 482 R(x / y,y,y \ 1) = x * (y \ 1). [hyper(236,a,129,a(flip),b,114,a)]. 483 R(x / y,y,x \ z) = z / (y * (x \ z)). [para(14(a,1),114(a,2,1))]. 484 R(x / y,y,y \ z) = (x * (y \ z)) / z. [para(14(a,1),114(a,2,2))]. 485 R(x / (y / z),y / z,z) = (x * z) / y. [para(16(a,1),114(a,2,2))]. 486 R(x / y,y,T(z,y)) = (x * T(z,y)) / (z * y). [para(119(a,1),114(a,2,2))]. 487 T(R(x / y,y,z),y * z) = (y * z) \ (x * z). [para(114(a,2),121(a,1,1))]. 488 R(x / T(y,z),T(y,z),y) = (x * y) / (y * T(y,z)). [para(194(a,1),114(a,2,2))]. 489 R(x / y,y,x \ z) \ z = y * (x \ z). [para(114(a,2),228(a,1,1))]. 490 R(R(1 / x,x,y),x * y,z) = (y * z) / ((x * y) * z). [para(159(a,2),114(a,1,1))]. 491 R(R(x,y,z) / u,u,y * z) = ((x * y) * z) / (u * (y * z)). [para(113(a,1),114(a,2,1))]. 492 R(x / R(y,z,u),R(y,z,u),z * u) = (x * (z * u)) / ((y * z) * u). [para(113(a,1),114(a,2,2))]. 493 R(R(x / y,y,z),y * z,u) = ((x * z) * u) / ((y * z) * u). [para(114(a,2),114(a,1,1))]. 494 (x * y) / L(z,y / z,x) = x * (y / z). [para(16(a,1),137(a,1,1,2))]. 495 (x * (y * z)) / L(K(y,z),z * y,x) = x * (z * y). [para(95(a,1),137(a,1,1,2))]. 496 R(x,T(y,x),z) \ ((y * x) * z) = T(y,x) * z. [para(119(a,1),143(a,1,2,1))]. 497 R(x * y,K(y,x),z) \ ((y * x) * z) = K(y,x) * z. [para(95(a,1),143(a,1,2,1))]. 498 R(x,K(y \ x,y),z) \ (((y \ x) * y) * z) = K(y \ x,y) * z. [para(249(a,1),143(a,1,2,1))]. 499 R(x * y,L(z,y,x),u) \ ((x * (y * z)) * u) = L(z,y,x) * u. [para(103(a,1),143(a,1,2,1))]. 500 x / K(x \ 1,x) = R(x,x \ 1,x). [para(187(a,2),156(a,2,2)),flip(a)]. 501 x \ L(L(y,x \ 1,x),z,u) = (x \ 1) * L(y,z,u). [hyper(72,a,45,a,b,188,a)]. 502 L(T(x,y \ 1),y \ 1,y) = y * (x * (y \ 1)). [hyper(236,a,161,a(flip),b,188,a(flip))]. 503 x \ L(y,x \ 1,x) != z | (x \ 1) * y = z. [para(188(a,1),283(a,1,2)),flip(b)]. 504 x \ L(y,x \ 1,x) != (x \ 1) * z | z = y. [para(188(a,1),79(a,1,2))]. 505 L(R(x,y,y \ 1),z,u) / (y \ 1) = L(x,z,u) * y. [hyper(74,a,44,a(flip),b,189,a)]. 506 R(x,x \ y,(x \ y) \ 1) = y * ((x \ y) \ 1). [hyper(236,a,90,a(flip),b,189,a(flip))]. 507 L(R(x,1 / y,y),z,u) / y = L(x,z,u) * (1 / y). [hyper(74,a,44,a(flip),b,190,a)]. 509 L(T(x \ (y \ z),u),x,y) = T((y * x) \ z,u). [para(227(a,1),40(a,2,1))]. 510 L(L(x \ (y \ z),u,w),x,y) = L((y * x) \ z,u,w). [para(227(a,1),45(a,1,1)),flip(a)]. 511 L(x,(y \ z) / x,y) = (y * ((y \ z) / x)) \ z. [para(65(a,1),227(a,1,1))]. 512 R(x,y,z) \ ((x * y) * z) != u * w | u \ (y * z) = w. [para(30(a,2),281(a,1,1))]. 514 (x * (x \ y)) \ z != u * w | u \ (y \ z) = w. [para(240(a,1),281(a,1,1))]. 515 (x * (x \ y)) * z != u | y * z = u. [para(240(a,1),290(a,1,1))]. 516 (x * y) / y != z * u | z \ x = u. [para(13(a,1),292(a,1,2))]. 518 (x * T(y,x)) \ z != u | (y * x) \ z = u. [para(32(a,2),295(a,1,1,2))]. 519 (x / (y \ x)) \ z != u | y \ z = u. [para(240(a,2),295(a,1,1))]. 521 L((x \ y) \ z,x \ y,x) != u | y \ (x * z) = u. [para(105(a,2),295(a,1))]. 522 x / x != y * z | 1 / z = y. [para(11(a,1),302(a,1,1))]. 523 x * 1 != y * z | x / z = y. [para(60(a,1),302(a,1))]. 529 x * (x \ y) != z * u | y / u = z. [para(213(a,2),523(a,1))]. 530 x \ (y * (y \ (x * z))) != u * w | u \ z = w. [para(14(a,2),305(a,1,2))]. 533 x \ ((y \ x) * y) != z * u | z \ K(y \ x,y) = u. [para(249(a,1),305(a,1,2))]. 535 x * (y * T(z,y)) != u | x * (z * y) = u. [para(32(a,2),307(a,1,2,2))]. 536 x * (y / (z \ y)) != u | x * z = u. [para(240(a,2),307(a,1,2))]. 537 L((x \ 1) \ y,x \ 1,x) != z | x * y = z. [para(188(a,1),307(a,1))]. 538 x * T(x \ 1,x) != y | K(x \ 1,x) = y. [para(119(a,2),314(a,1))]. 539 T((x \ y) \ 1,y \ x) = (x \ y) \ 1. [para(347(a,1),263(a,1,2))]. 540 K((x \ y) \ 1,y \ x) = 1. [para(347(a,1),264(a,1,2))]. 541 K(((x * y) \ x) \ 1,y) = 1. [para(13(a,1),540(a,1,2))]. 542 T(x \ (x / y),z) = L(T(y \ 1,z),y,x / y). [para(350(a,1),40(a,2,1)),flip(a)]. 543 T((x \ y) / y,z) = R(T(1 / x,z),x,x \ y). [para(354(a,1),42(a,2,1)),flip(a)]. 544 R(R(1 / x,x,x \ y),y,z) = ((x \ y) * z) / (y * z). [para(354(a,2),114(a,1,1))]. 545 x * y != z * u | z \ (x * y) = u. [para(13(a,1),367(a,1,2))]. 546 x * (y * (y \ (x \ z))) != u * w | u \ z = w. [para(14(a,2),367(a,1,2))]. 549 x * T(y,x) != z * u | z \ (y * x) = u. [para(32(a,2),367(a,1,2))]. 551 x * (y * (y \ z)) != u * w | u \ (x * z) = w. [para(242(a,1),367(a,1,2))]. 552 R(x,y,z) * (y * z) != u * w | u \ ((x * y) * z) = w. [para(143(a,1),367(a,1,2))]. 554 (x \ (x * (y / z))) * z != u * w | y / w = u. [para(13(a,2),374(a,1,1))]. 555 x * y != z * u | (x * y) / u = z. [para(15(a,1),374(a,1,1))]. 559 ((x / y) * y) * z != u * w | (x * z) / w = u. [para(241(a,1),374(a,1,1))]. 561 R(T(x,R(x,y,z) \ u),y,z) != w | (R(x,y,z) \ u) \ u = w. [para(42(a,2),375(a,1))]. 562 T(x \ y,T(x,x \ y)) != z | ((x \ y) \ y) \ y = z. [para(120(a,2),375(a,1,2))]. 563 R((x / y) / z,z,y) != u | x / (z * y) = u. [para(114(a,2),379(a,1))]. 564 x / ((y \ 1) * x) != z | R(y,y \ 1,x) = z. [para(387(a,1),294(a,1,2)),flip(b)]. 566 R(x,y,y \ 1) / (y \ 1) != z * y | z = x. [para(395(a,2),20(a,2)),flip(a)]. 568 ((x / y) * y) * z != u * w | u \ (x * z) = w. [para(241(a,1),427(a,1,1))]. 570 (x * y) \ x != z * u | L(y \ 1,y,x) / u = z. [para(349(a,1),428(a,1,2))]. 571 R(x,y,z) \ ((x * y) * z) != u * w | (y * z) / w = u. [para(113(a,1),428(a,1,2))]. 572 L(x \ y,x,1 / x) = (1 / x) * y. [hyper(307,a,430,a),flip(a)]. 573 (1 / x) \ L(L(y,x,1 / x),z,u) = x * L(y,z,u). [hyper(72,a,45,a,b,430,a)]. 574 (1 / x) \ L(y,x,1 / x) != z | x * y = z. [para(430(a,1),283(a,1,2)),flip(b)]. 575 L(T((x \ 1) \ y,z),x \ 1,x) = T(x * y,z). [para(451(a,1),40(a,2,1))]. 576 L(R((x \ 1) \ y,z,u),x \ 1,x) = R(x * y,z,u). [para(451(a,1),44(a,1,1)),flip(a)]. 577 T((x \ 1) \ y,x * y) = (x \ 1) \ y. [para(451(a,1),263(a,1,2))]. 579 R(T(x / (1 / y),z),1 / y,y) = T(x * y,z). [para(481(a,1),42(a,2,1))]. 580 R(T(x / y,z),y,y \ 1) = T(x * (y \ 1),z). [para(482(a,1),42(a,2,1))]. 581 R(R(x / y,z,u),y,y \ 1) = R(x * (y \ 1),z,u). [para(482(a,1),46(a,1,1)),flip(a)]. 582 ((x / y) \ x) * z != u | y * z = u. [para(238(a,2),515(a,1,1))]. 586 x * (y * (y \ z)) != u * w | (x * z) / w = u. [para(242(a,1),529(a,1,2))]. 587 (x * (x \ y)) * z != u * w | u \ (y * z) = w. [para(90(a,2),545(a,1))]. 590 x * (y * T(z,y)) != u * w | (x * (z * y)) / w = u. [para(161(a,2),555(a,1))]. 592 L(T(x \ y,z),x,1 / x) = T((1 / x) * y,z). [para(572(a,1),40(a,2,1))]. 593 L(R(x \ y,z,u),x,1 / x) = R((1 / x) * y,z,u). [para(572(a,1),44(a,1,1)),flip(a)]. 594 T(x / y,(z / y) \ z) = y \ x. [hyper(168,a,267,a,b,265,a)]. 595 L(T(x,y),y,x) = T(x,x * y). [hyper(168,a,161,a(flip),b,103,a),flip(a)]. 596 T(L(x,y,x),y) = T(x,x * y). [hyper(236,a,40,a(flip),b,595,a(flip)),flip(a)]. 597 L(R(T(x,y),z,u),y,x) = R(T(x,x * y),z,u). [para(595(a,1),44(a,1,1)),flip(a)]. 598 x * T(y,y * x) = L(y,x,y) * x. [para(596(a,1),119(a,1,2))]. 599 (x * T(y,y * x)) / x = L(y,x,y). [para(596(a,1),163(a,1,1,2))]. 600 L(x,x \ y,x) * (x \ y) = (x \ y) * T(x,y). [para(14(a,1),598(a,1,2,2)),flip(a)]. 602 L(x,T(y,x),x) * T(y,x) = T(y,x) * T(x,y * x). [para(119(a,1),598(a,1,2,2)),flip(a)]. 604 ((x \ y) * T(x,y)) / (x \ y) = L(x,x \ y,x). [para(14(a,1),599(a,1,1,2,2))]. 606 x * (y * T(z,x * y)) = L(z,y,x) * (x * y). [hyper(236,a,103,a(flip),b,181,a(flip)),flip(a)]. 608 (x * (L(y,z,u) * w)) \ ((x * w) * L(T(y,w),z,u)) = a(x,w,L(T(y,w),z,u)). [para(181(a,1),24(a,2,1,2)),flip(a)]. 609 x * L(R(T(y,x),z,u),w,v5) = L(R(y,z,u),w,v5) * x. [para(42(a,2),181(a,1,2,1))]. 610 L(x / y,z,u) * y = y * L(y \ x,z,u). [para(121(a,1),181(a,1,2,1)),flip(a)]. 611 L((x * y) / x,z,u) * x = x * L(y,z,u). [para(162(a,1),181(a,1,2,1)),flip(a)]. 613 x * L(T(y,x),z,u) != w * v5 | w \ (L(y,z,u) * x) = v5. [para(181(a,2),545(a,1))]. 614 (x * y) * R(T(z,x * y),x,y) = (z * x) * y. [hyper(236,a,113,a(flip),b,182,a)]. 615 (x * y) \ ((z * x) * y) = R(T(z,x * y),x,y). [hyper(72,a,113,a(flip),b,182,a)]. 617 R(x,y,z) * x = x * R(x,y,z). [para(118(a,1),182(a,1,2,1)),flip(a)]. 618 R(x / y,z,u) * y = y * R(y \ x,z,u). [para(121(a,1),182(a,1,2,1)),flip(a)]. 619 R(T(x,y),z,u) * x = x * R(T(x,y),z,u). [para(131(a,1),182(a,1,2,1)),flip(a)]. 620 R((x * y) / x,z,u) * x = x * R(y,z,u). [para(162(a,1),182(a,1,2,1)),flip(a)]. 621 (x \ y) * R((x \ y) \ y,z,u) = R(x,z,u) * (x \ y). [para(120(a,1),182(a,1,2,1))]. 622 R(x / (x / y),z,u) * (x / y) = (x / y) * R(y,z,u). [para(186(a,1),182(a,1,2,1)),flip(a)]. 623 x * R(T(y,x),z,u) != w * v5 | w \ (R(y,z,u) * x) = v5. [para(182(a,2),545(a,1))]. 624 x * R(T(y,x),z,u) != w * v5 | (R(y,z,u) * x) / v5 = w. [para(182(a,2),555(a,1))]. 625 T(x,R(x,y,z)) = x. [hyper(169,a,617,a)]. 626 (x * R(x,y,z)) / x = R(x,y,z). [hyper(87,a,617,a)]. 627 T(x / y,x * (y \ 1)) = x / y. [para(482(a,1),625(a,1,2))]. 628 (x * L(x \ y,z,u)) / x = L(y / x,z,u). [para(184(a,1),163(a,1,1,2))]. 629 (x * R(x \ y,z,u)) / x = R(y / x,z,u). [para(185(a,1),163(a,1,1,2))]. 630 T(x / (y * x),y) = R(y \ 1,y,x). [para(159(a,1),185(a,1,1))]. 631 T((x * y) / (z * y),z) = R(z \ x,z,y). [para(114(a,1),185(a,1,1))]. 632 R(x \ (y / z),x,z) = T(y / (x * z),x). [para(235(a,1),185(a,1,1)),flip(a)]. 633 R((x / y) \ 1,x / y,y) = T(y / x,x / y). [para(355(a,1),185(a,1,1)),flip(a)]. 634 R(x \ y,x,x \ 1) = T(y * (x \ 1),x). [para(482(a,1),185(a,1,1)),flip(a)]. 635 (x / (y * x)) * y = y * R(y \ 1,y,x). [para(630(a,1),119(a,1,2)),flip(a)]. 636 ((x \ y) \ y) \ (T(x,x \ y) * z) = z. [hyper(545,a,256,a)]. 637 T(x,x \ y) \ z = ((x \ y) \ y) \ z. [hyper(367,a,256,a),flip(a)]. 638 T(x / T(y,y \ z),T(y,y \ z)) = ((y \ z) \ z) \ x. [hyper(72,a,167,a(flip),b,256,a(flip)),flip(a)]. 639 (T(x,x \ y) * z) \ (((x \ y) \ y) * (z * u)) = L(u,z,(x \ y) \ y). [para(256(a,2),28(a,2,1)),flip(a)]. 644 x / T(y,y \ z) = x / ((y \ z) \ z). [hyper(374,a,257,a),flip(a)]. 645 ((x * ((y \ z) \ z)) * u) / u = x * T(y,y \ z). [hyper(236,a,15,a,b,257,a),flip(a)]. 646 (x / ((y \ z) \ z)) * T(y,y \ z) = x. [hyper(236,a,16,a(flip),b,257,a)]. 651 x * ((y \ z) \ z) != u | x * T(y,y \ z) = u. [para(258(a,2),307(a,1,2))]. 655 R(x,y,y \ 1) \ (x * y) != z | L((y \ 1) \ 1,y \ 1,x * y) = z. [para(189(a,1),383(a,1,1))]. 657 (1 / x) / K(x,1 / x) != y | R(1 / x,x,1 / x) = y. [para(248(a,2),388(a,1,2))]. 658 x \ T(y,y \ z) != u | x \ ((y \ z) \ z) = u. [para(393(a,1),519(a,1))]. 659 K(x \ (x * y),x) = K(y,x). [hyper(236,a,96,a(flip),b,397,a),flip(a)]. 660 K(x \ (x * y),z) = K(y,z). [para(53(a,1),659(a,1,1)),flip(a)]. 661 K((x / y) \ x,z) = K(y,z). [para(16(a,1),660(a,1,1,2))]. 663 T((x * y) / x,y * x) = L(y,x,y). [hyper(18,a,598,a(flip),b,406,a)]. 664 ((((x * y) / x) \ z) \ z) * x = x * T(y,((x * y) / x) \ z). [hyper(236,a,256,a(flip),b,406,a(flip)),flip(a)]. 665 T(((x \ y) * x) / (x \ y),y) = L(x,x \ y,x). [para(14(a,1),663(a,1,2))]. 666 T(T((x * y) / x,z),y * x) = T(L(y,x,y),z). [para(663(a,1),38(a,1,1)),flip(a)]. 667 T(x / y,z) * y != u | y * T(y \ x,z) = u. [para(408(a,1),221(a,1,1)),flip(b)]. 668 T(T(x / y,z),y) != u | T(y \ x,z) = u. [para(408(a,1),287(a,1,1)),flip(b)]. 669 x * ((y * T(z,x)) / y) = ((y * z) / y) * x. [para(412(a,2),119(a,1,2))]. 670 T((x * (y / z)) / x,z) = (x * (z \ y)) / x. [para(121(a,1),412(a,1,1,2)),flip(a)]. 671 T((x * y) / x,z) * x != u | x * T(y,z) = u. [para(412(a,1),221(a,1,1)),flip(b)]. 672 T(T((x * y) / x,z),x) != u | T(y,z) = u. [para(412(a,1),287(a,1,1)),flip(b)]. 673 T(x * y,(x \ 1) \ y) = x * y. [hyper(35,a,577,a)]. 674 x / T(y,y \ z) != u | x / ((y \ z) \ z) = u. [para(646(a,1),296(a,1,1)),flip(b)]. 675 R(x,y * z,a(x,y,z)) \ ((x * y) * z) = (y * z) * a(x,y,z). [hyper(72,a,91,a(flip),b,113,a)]. 676 (x * y) * a(x,z,z \ y) = (x * z) * (z \ y). [para(14(a,1),91(a,1,1,2))]. 677 x * a(x,y,y \ 1) = (x * y) * (y \ 1). [para(56(a,1),91(a,1,1))]. 678 (x * (y * z)) * a(x,z,T(y,z)) = (x * z) * T(y,z). [para(119(a,1),91(a,1,1,2))]. 679 (x * (y * z)) \ ((x * y) * z) != u | a(x,y,z) = u. [para(91(a,1),283(a,1,2)),flip(b)]. 680 ((x * y) * z) * a(R(x,y,z),y,z) = (R(x,y,z) * y) * z. [para(113(a,1),91(a,1,1))]. 681 L(T(x,y \ z),y \ z,y) = z \ (y * (x * (y \ z))). [para(119(a,1),104(a,1,2,2)),flip(a)]. 682 x \ ((x * y) * (L(y \ 1,y,x) * z)) = L(z,(x * y) \ x,x * y). [para(158(a,2),104(a,1,2,2,1))]. 683 (x * ((x \ y) * z)) * K(L(z,x \ y,x),y) = (y \ (x * ((x \ y) * z))) * y. [para(104(a,1),249(a,1,2,1))]. 684 R(x,x \ y,(x \ y) \ z) = (y * ((x \ y) \ z)) / z. [para(14(a,1),110(a,2,2))]. 685 R(x,x \ y,y \ z) \ z = (x \ y) * (y \ z). [para(110(a,2),228(a,1,1))]. 687 a(x,x \ y,(x \ y) \ 1) = x \ (y * ((x \ y) \ 1)). [para(14(a,1),157(a,1,2,1)),flip(a)]. 688 x \ R(x,y,y \ 1) = a(x,y,y \ 1). [para(189(a,1),157(a,1,2))]. 689 x * a(x,y,y \ 1) = R(x,y,y \ 1). [para(688(a,1),14(a,1,2))]. 690 x \ R(x,y,y \ 1) != z | a(x,y,y \ 1) = z. [para(689(a,1),283(a,1,2)),flip(b)]. 692 x \ (K(x,1 / x) * x) = a(x,1 / x,x). [para(248(a,2),160(a,1,2,1))]. 693 x \ R(x,1 / y,y) = a(x,1 / y,y). [para(190(a,1),160(a,1,2))]. 694 (x * y) \ (x * (z * y)) = T(L(z,y,x),y). [hyper(236,a,40,a(flip),b,178,a)]. 695 x * ((y * x) \ (y * (z * x))) = L(z,x,y) * x. [para(178(a,2),181(a,1,2))]. 697 (x * (1 / y)) * y != z | R(x,1 / y,y) = z. [para(278(a,1),83(a,1)),flip(b)]. 698 T(R(x / y,y,y \ z),z) = z \ (x * (y \ z)). [hyper(394,a,89,a(flip),b,309,a)]. 699 x * R(T(y,x),z,z \ x) = (y * z) * (z \ x). [hyper(236,a,182,a,b,309,a(flip)),flip(a)]. 700 x \ ((y * z) * (z \ x)) = R(T(y,x),z,z \ x). [hyper(72,a,309,a(flip),b,182,a)]. 702 L(R(x,y,y \ z),u,w) * z = (L(x,u,w) * y) * (y \ z). [para(44(a,1),309(a,1,1))]. 703 (x * y) * T((x * y) \ x,z) = x * (y * T(y \ 1,z)). [para(351(a,2),103(a,1,2))]. 704 R(T(1 / x,x * y),x,y) = (x * y) \ y. [hyper(280,a,356,a),flip(a)]. 705 x * ((T(y,x) \ z) \ z) != u * x | T(y,T(y,x) \ z) = u. [para(120(a,1),365(a,1,2))]. 706 x * T(x \ (y * x),z) != u | T(y,z) * x = u. [para(32(a,1),368(a,1,2,1))]. 707 L(x \ 1,x,y) \ (z * ((y * x) \ y)) = T(z,(y * x) \ y). [hyper(169,a,385,a),flip(a)]. 708 L(x \ 1,x,y) \ z = ((y * x) \ y) \ z. [hyper(80,a,385,a),flip(a)]. 710 L(x \ 1,x,y) != z | (y * x) \ y = z. [para(385(a,1),150(a,1))]. 711 ((x * y) \ x) \ z != u | L(y \ 1,y,x) \ z = u. [para(385(a,1),283(a,1,2)),flip(b)]. 712 L(T(x \ 1,x),x,1 / x) = x \ 1. [hyper(236,a,121,a(flip),b,389,a)]. 713 (1 / x) \ T(1 / x,y) = x * T(x \ 1,y). [hyper(72,a,389,a(flip),b,430,a)]. 714 K(x,y) = L(x \ T(x,y),x,y). [hyper(236,a,26,a,b,402,a),flip(a)]. 715 L(T(x \ T(y,z),u),x,z) = T((z * x) \ (y * z),u). [para(402(a,1),40(a,2,1))]. 716 L(x \ T(x,y),x,y) != z | K(x,y) = z. [para(402(a,2),285(a,1))]. 717 x \ (y * T(y \ x,y)) != z | K(y \ x,y) = z. [para(119(a,2),421(a,1,2))]. 718 (x * y) \ (x * (z * y)) != u | L(T(z,y),y,x) = u. [para(431(a,1),282(a,1,1)),flip(b)]. 719 x * ((x \ y) * T(z,y)) = L(z,x \ y,x) * y. [hyper(236,a,181,a(flip),b,433,a(flip))]. 720 x * ((x \ y) * z) != y * u | L(z,x \ y,x) = u. [para(433(a,1),19(a,1))]. 721 x * L(L(y,z \ x,z),u,w) = z * ((z \ x) * L(y,u,w)). [para(45(a,1),433(a,1,2))]. 722 x \ (y * ((y \ x) * z)) != u | L(z,y \ x,y) = u. [para(433(a,1),283(a,1,2)),flip(b)]. 723 L(x \ y,x,y / x) = T(y / x,y). [hyper(168,a,88,a(flip),b,434,a),flip(a)]. 724 (x / y) * (y * T(z,x)) = L(z,y,x / y) * x. [hyper(236,a,181,a(flip),b,434,a(flip))]. 725 L(T((x \ y) \ z,u),x \ y,x) = T(y \ (x * z),u). [para(450(a,1),40(a,2,1))]. 726 L(R((x \ y) \ z,u,w),x \ y,x) = R(y \ (x * z),u,w). [para(450(a,1),44(a,1,1)),flip(a)]. 727 L(L(x,y,z),z * y,u / (z * y)) = u \ ((u / (z * y)) * (z * (y * x))). [para(28(a,2),453(a,1,1))]. 728 L(x \ y,x,y / x) != z | T(y / x,y) = z. [para(453(a,2),284(a,1))]. 729 T(((x / y) * z) \ x,u) = L(T(z \ y,u),z,x / y). [para(454(a,1),40(a,2,1)),flip(a)]. 730 x / L(y \ z,y,x / z) != u | (x / z) * y = u. [para(454(a,2),294(a,1,2)),flip(b)]. 731 R(x,x \ (y / z),z) \ y = (x \ (y / z)) * z. [para(16(a,1),463(a,1,2))]. 732 (x * y) / ((z \ x) * y) != u | R(z,z \ x,y) = u. [para(463(a,1),294(a,1,2)),flip(b)]. 733 R(x / (y * z),y * z,(y * z) \ y) = (x * L(z \ 1,z,y)) / y. [para(158(a,2),484(a,2,1,2))]. 734 R(1 / x,x,x \ y) != z | (x \ y) / y = z. [para(484(a,2),301(a,1))]. 735 R(T(x / (y / z),u),y / z,z) = T((x * z) / y,u). [para(485(a,1),42(a,2,1))]. 736 R(R(x / (y / z),u,w),y / z,z) = R((x * z) / y,u,w). [para(485(a,1),46(a,1,1)),flip(a)]. 737 R(x / R(1 / y,y,z),z / (y * z),y * z) = (x * (y * z)) / z. [para(159(a,2),485(a,1,1,2))]. 738 R(x / (y / (z * y)),R(1 / z,z,y),z * y) = (x * (z * y)) / y. [para(159(a,2),485(a,1,2))]. 740 R((x / y) \ z,x / y,y) = T((z * y) / x,x / y). [para(485(a,1),185(a,1,1)),flip(a)]. 741 R(x,T(y,x),(y * x) \ z) \ z = T(y,x) * ((y * x) \ z). [para(138(a,1),489(a,1,1,1))]. 742 (x * y) / T(L(z,y / T(z,u),x),u) = x * (y / T(z,u)). [para(40(a,1),494(a,1,2))]. 743 K(L(x,y / x,z),u) = K((z * (y / x)) \ (z * y),u). [para(494(a,1),661(a,1,1,1)),flip(a)]. 746 R(x,y,z) = T(((y * x) * z) / (y * z),y). [para(13(a,1),631(a,2,1)),flip(a)]. 747 ((x \ y) * x) * (x \ 1) = T(y * (x \ 1),x). [hyper(236,a,189,a,b,634,a(flip)),flip(a)]. 748 T((x * y) * (x \ 1),x) = R(y,x,x \ 1). [para(13(a,1),634(a,1,1)),flip(a)]. 749 (x / y) * R((x / y) \ 1,x / y,y) = (y / x) * (x / y). [para(16(a,1),635(a,1,1,2)),flip(a)]. 750 R(x \ 1,x,y) \ ((y / (x * y)) * x) != z | T(x,R(x \ 1,x,y)) = z. [para(635(a,2),284(a,1,2))]. 751 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) != z | K(x,y / (x * y)) = z. [para(635(a,1),285(a,1,1))]. 752 T(R(x \ y,x,z),x * z) != u | T((x * z) \ (y * z),x) = u. [para(631(a,1),668(a,1,1))]. 753 T((((x * y) / x) \ z) \ z,x) != u | T(y,((x * y) / x) \ z) = u. [para(120(a,1),672(a,1,1))]. 754 T(K(x,1 / x),x) = a(x,1 / x,x). [hyper(284,a,692,a)]. 755 T(L(x,y \ z,y),y \ z) = z \ (y * (x * (y \ z))). [hyper(295,a,694,a),flip(a)]. 756 T(L(x,y,z / y),y) = z \ ((z / y) * (x * y)). [para(16(a,1),694(a,1,1)),flip(a)]. 757 T(L(x,y \ z,y),y \ z) != u | z \ (y * (x * (y \ z))) = u. [para(694(a,1),295(a,1))]. 758 (((x * y) * z) / (x * z)) * x = x * R(y,x,z). [para(746(a,2),119(a,1,2)),flip(a)]. 759 T(R(x,y,x),y * x) = T(x,y). [para(746(a,2),201(a,1,1))]. 760 R(T(x,y * x),y,x) = T(x,y). [hyper(236,a,42,a,b,759,a(flip)),flip(a)]. 761 L(R(x,y,x),z,u) * (y * x) = (y * x) * L(T(x,y),z,u). [para(759(a,1),181(a,1,2,1)),flip(a)]. 762 R(R(x,y,x),z,u) * (y * x) = (y * x) * R(T(x,y),z,u). [para(759(a,1),182(a,1,2,1)),flip(a)]. 763 R(T(x,y),y / x,x) = T(x,y / x). [para(16(a,1),760(a,1,1,2))]. 764 R(x,1 / x,x) = T(x,1 / x). [para(145(a,1),763(a,1,1))]. 765 T(x,1 / x) / x = x * (1 / x). [hyper(74,a,764,a(flip),b,190,a)]. 766 R(R(x,y,z),1 / x,x) = R(T(x,1 / x),y,z). [para(764(a,1),46(a,1,1)),flip(a)]. 767 T(x,1 / x) / x = K(x,1 / x). [hyper(236,a,248,a,b,765,a)]. 768 (x * R(y,x,x \ 1)) / x = (x * y) * (x \ 1). [para(748(a,1),163(a,1,1,2))]. 769 R(T(T(x,y),z),u,w) = T(T(R(x,u,w),z),y). [hyper(236,a,42,a,b,124,a),flip(a)]. 771 (x * y) * R(L(z,y,x),u,w) != v5 | x * (y * R(z,u,w)) = v5. [para(44(a,2),219(a,1,2))]. 772 L(x,y,1 / y) != z | (1 / y) * (y * x) = z. [para(63(a,1),219(a,1))]. 775 L(R(x,y,z),u,w) * (y * z) != v5 | (L(x,u,w) * y) * z = v5. [para(44(a,1),225(a,1,1))]. 776 R(R(x,y,z),u,w) * (y * z) != v5 | (R(x,u,w) * y) * z = v5. [para(46(a,1),225(a,1,1))]. 777 R(x,y,T(z,y)) * (z * y) != u | (x * y) * T(z,y) = u. [para(119(a,1),225(a,1,2))]. 778 T(x / (y * z),y) * (y * z) != u | ((y \ (x / z)) * y) * z = u. [para(632(a,1),225(a,1,1))]. 779 x / L(y,z,x / (z * y)) != u | (x / (z * y)) * z = u. [para(16(a,1),297(a,1,1))]. 780 (x * y) * z != y * (T(x,y) * u) | L(u,T(x,y),y) = z. [para(119(a,1),436(a,1,1))]. 781 (x * y) * (K(y,x) * z) != (y * x) * u | L(z,K(y,x),x * y) = u. [para(95(a,1),436(a,1,1)),flip(a)]. 784 (x * y) \ (x * z) != u | L(y \ z,y,x) = u. [para(14(a,1),447(a,1,2,2))]. 785 (x * y) \ z != u | L(y \ (x \ z),y,x) = u. [para(58(a,1),447(a,1,2))]. 786 (x * (y * z)) \ (x * (y * (z * u))) != w | L(L(u,z,y),y * z,x) = w. [para(103(a,1),447(a,1,2,2))]. 787 (x * (y * (z * u))) \ (x * ((y * z) * u)) != w | L(a(y,z,u),y * (z * u),x) = w. [para(91(a,1),447(a,1,2,2))]. 788 (x * y) \ (x * R(y,z,z \ 1)) != u | L(a(y,z,z \ 1),y,x) = u. [para(689(a,1),447(a,1,2,2))]. 789 x * K(x \ 1,x) != y | L(x,x \ 1,x) = y. [para(187(a,2),448(a,1,2))]. 791 (x * (y \ 1)) * y != z * K(y \ 1,y) | R(x,y \ 1,y) = z. [para(187(a,2),467(a,2,2))]. 792 (x * y) * K(z \ y,z) != u * ((z \ y) * z) | R(x,y,K(z \ y,z)) = u. [para(249(a,1),467(a,2,2))]. 793 x / (y * z) != u | R((x / z) / y,y,z) = u. [para(68(a,1),475(a,1,1))]. 794 x \ T(L(y,x \ 1,x),z) != u | (x \ 1) * T(y,z) = u. [para(40(a,1),503(a,1,2))]. 795 x \ L(L(y,x \ 1,x),z,u) != (x \ 1) * w | L(y,z,u) = w. [para(45(a,1),504(a,1,2)),flip(b)]. 796 L(x,x \ 1,x) != y | x * K(x \ 1,x) = y. [para(273(a,1),537(a,1,1))]. 797 R(x / y,y,z) != u | (x * z) / (y * z) = u. [para(15(a,1),563(a,1,1,1))]. 799 L(1 / x,x,y) * x = x * ((y * x) \ y). [hyper(236,a,348,a(flip),b,610,a)]. 800 (x * ((y * x) \ y)) / x = L(1 / x,x,y). [hyper(74,a,348,a(flip),b,610,a)]. 801 (x * L(x \ y,z,u)) \ (L(y / x,z,u) * w) = L(x \ w,x,L(y / x,z,u)). [para(610(a,1),105(a,2,1)),flip(a)]. 802 L(R(x / y,y,z),u,w) * (y * z) = (y * z) * L((y * z) \ (x * z),u,w). [para(114(a,2),610(a,1,1,1))]. 803 L(1 / (x \ y),x \ y,x) * (x \ y) = (x \ y) * (y \ x). [para(347(a,1),610(a,2,2))]. 804 ((x \ y) * (y \ x)) / (x \ y) = L(1 / (x \ y),x \ y,x). [para(14(a,1),800(a,1,1,2,1))]. 806 L((x * y) / x,z,u) = (x * L(y,z,u)) / x. [hyper(87,a,611,a),flip(a)]. 807 L(((x * y) * z) / (x * y),y,x) = (x * (y * z)) / (x * y). [hyper(74,a,103,a(flip),b,611,a),flip(a)]. 808 x * R(x \ y,z,z \ x) = ((y / x) * z) * (z \ x). [hyper(236,a,309,a(flip),b,618,a(flip))]. 809 R(R(x / y,y,z),u,w) * (y * z) = (y * z) * R((y * z) \ (x * z),u,w). [para(114(a,2),618(a,1,1,1))]. 811 T(x,R(T(x,y),z,u)) = x. [hyper(169,a,619,a)]. 812 ((((x * y) * z) / (x * y)) * x) * y = (x * y) * R(z,x,y). [hyper(225,a,620,a)]. 813 R((x * y) / x,z,u) = (x * R(y,z,u)) / x. [hyper(87,a,620,a),flip(a)]. 814 ((x * y) * R(z,x,y)) / y = (((x * y) * z) / (x * y)) * x. [hyper(74,a,620,a(flip),b,113,a(flip))]. 816 L(x / y,z,u) * y != w | y * L(y \ x,z,u) = w. [para(628(a,1),221(a,1,1)),flip(b)]. 817 T(L(x / y,z,u),y) != w | L(y \ x,z,u) = w. [para(628(a,1),287(a,1,1)),flip(b)]. 818 (x * ((y * x) \ (y * z))) / x = L(z / x,x,y). [para(105(a,1),628(a,1,1,2))]. 819 L((x \ y) / z,z,x) = (z * ((x * z) \ y)) / z. [para(227(a,1),628(a,1,1,2)),flip(a)]. 820 (x * ((1 / x) * y)) / x = L(y / x,x,1 / x). [para(572(a,1),628(a,1,1,2))]. 821 L(T(x,y) / x,x,y) = (x * K(x,y)) / x. [para(714(a,2),628(a,1,1,2)),flip(a)]. 822 ((x * y) * R(L(z,y,x),u,w)) / (x * y) = R((x * (y * z)) / (x * y),u,w). [para(28(a,2),629(a,1,1,2,1))]. 823 ((x / y) * R(y,z,u)) / (x / y) = R(x / (x / y),z,u). [para(65(a,1),629(a,1,1,2,1))]. 824 R(x / y,z,u) * y != w | y * R(y \ x,z,u) = w. [para(629(a,1),221(a,1,1)),flip(b)]. 825 ((x * (y / z)) / x) * z = z * ((x * (z \ y)) / x). [para(121(a,1),669(a,1,2,1,2)),flip(a)]. 826 (x \ y) * ((z * ((x \ y) \ y)) / z) = ((z * x) / z) * (x \ y). [para(120(a,1),669(a,1,2,1,2))]. 827 (x * ((y * (x \ z)) / y)) / x = (y * (z / x)) / y. [para(670(a,1),163(a,1,1,2))]. 828 ((x * (y / z)) / x) \ (z * ((x * (z \ y)) / x)) = z. [para(670(a,1),164(a,1,2,2))]. 830 T(T(R(x / y,z,u),w),y) = R(T(y \ x,w),z,u). [para(121(a,1),769(a,1,1,1)),flip(a)]. 831 x \ (y * z) != u | L((y \ x) \ z,y \ x,y) = u. [para(14(a,1),784(a,1,1))]. 832 ((x * y) * z) \ (x * (y * u)) != w | L(z \ L(u,y,x),z,x * y) = w. [para(103(a,1),784(a,1,2))]. 833 L((x * y) / x,z,u) * x != w | x * L(y,z,u) = w. [para(806(a,2),221(a,1,1)),flip(b)]. 834 (x * y) * ((z * L(u,y,x)) / z) = x * (y * ((z * u) / z)). [para(806(a,1),103(a,1,2))]. 835 L((x * (y \ z)) / x,y,u) = (x * ((u * y) \ (u * z))) / x. [para(105(a,1),806(a,2,1,2))]. 836 L((x * (y \ 1)) / x,y,z / y) = (x * (z \ (z / y))) / x. [para(350(a,1),806(a,2,1,2))]. 837 L((x * (y \ z)) / x,y,1 / y) = (x * ((1 / y) * z)) / x. [para(572(a,1),806(a,2,1,2))]. 838 L((x * ((y \ z) \ u)) / x,y \ z,y) = (x * (z \ (y * u))) / x. [para(450(a,1),806(a,2,1,2))]. 839 R((x * y) / x,z,u) * x != w | x * R(y,z,u) = w. [para(813(a,2),221(a,1,1)),flip(b)]. 840 R((x * (1 / y)) / x,y,z) = (x * (z / (y * z))) / x. [para(159(a,1),813(a,2,1,2))]. 841 ((x * R(y,z,u)) / x) * (z * u) = (((x * y) / x) * z) * u. [para(813(a,1),113(a,1,1))]. 842 R((x * ((y / z) / u)) / x,u,z) = (x * (y / (u * z))) / x. [para(235(a,1),813(a,2,1,2))]. 843 R((x * (y / (1 / z))) / x,1 / z,z) = (x * (y * z)) / x. [para(481(a,1),813(a,2,1,2))]. 844 R((x * (y / z)) / x,z,z \ 1) = (x * (y * (z \ 1))) / x. [para(482(a,1),813(a,2,1,2))]. 845 ((x * R(y,z,u)) / x) * (z * u) != w | (((x * y) / x) * z) * u = w. [para(813(a,1),225(a,1,1))]. 846 ((x \ y) * (T(x,x \ y) * z)) \ (y * z) = a(x \ y,(x \ y) \ y,z). [para(120(a,2),92(a,1,1,2,1))]. 847 a(x \ y,T(x,x \ y),z) = ((x \ y) * (((x \ y) \ y) * z)) \ (y * z). [para(120(a,2),92(a,2,2)),flip(a)]. 850 L(L(x \ 1,y * x,z),x,y) = (z * (y * x)) \ (z * y). [hyper(236,a,105,a(flip),b,352,a)]. 851 L((x * y) \ x,y,1 / y) = L(1 / y,y,x). [para(380(a,1),352(a,1,1)),flip(a)]. 852 (x * y) * L((x * y) \ x,z,u) = x * (y * L(y \ 1,z,u)). [para(352(a,1),103(a,1,2))]. 853 (x * y) * L((x * y) \ x,z,u) != w | x * (y * L(y \ 1,z,u)) = w. [para(352(a,1),219(a,1,2))]. 854 (1 / x) * (x * ((y * x) \ y)) = L(1 / x,x,y). [hyper(772,a,851,a)]. 855 L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y). [para(14(a,1),851(a,1,1,1))]. 856 (x * y) * T((x * y) \ (x * z),u) = x * (y * T(y \ z,u)). [para(105(a,1),442(a,1,2,1))]. 857 (x * y) * T((x * y) \ z,u) = x * (y * T(y \ (x \ z),u)). [para(227(a,1),442(a,1,2,1))]. 858 (x * y) * T(T(x,x * y),z) = x * (y * T(T(x,y),z)). [para(595(a,1),442(a,1,2,1))]. 859 x * (T(y,x) * T(z,y * x)) = L(z,T(y,x),x) * (y * x). [hyper(369,a,445,a),flip(a)]. 860 (x * y) * L(L(z,T(x,y),y),u,w) = y * (T(x,y) * L(z,u,w)). [para(45(a,1),445(a,1,2))]. 861 L(T(T(x,y) \ z,u),T(x,y),y) = T((x * y) \ (y * z),u). [para(119(a,1),456(a,1,1,1)),flip(a)]. 862 (x * y) * T((x * y) \ (x * z),u) != w | x * (y * T(y \ z,u)) = w. [para(456(a,2),219(a,1,2))]. 863 L(R(T(x,y) \ z,u,w),T(x,y),y) = R((x * y) \ (y * z),u,w). [para(457(a,1),44(a,1,1)),flip(a)]. 864 T(((x * y) * x) / (x * y),y) = R(x,y,T(x,y)). [hyper(18,a,406,a,b,465,a),flip(a)]. 865 R(T(x,x * y),y,T(x,y)) = T(x,y). [hyper(17,a,182,a,b,465,a(flip)),flip(a)]. 867 (T(x,x * y) * y) * T(x,y) = T(x,y) * (x * y). [para(865(a,1),465(a,1,1)),flip(a)]. 868 T((x * y) / (z * y),u) * (z * y) = (T(x / z,u) * z) * y. [para(114(a,1),470(a,1,1,1))]. 869 ((x * R(y / z,z,u)) / x) * (z * u) = (z * u) * ((x * ((z * u) \ (y * u))) / x). [para(487(a,1),669(a,1,2,1,2)),flip(a)]. 870 R(x,T(y,x),T(z,y * x)) \ (z * (y * x)) = T(y,x) * T(z,y * x). [para(119(a,1),496(a,1,2))]. 871 (x * y) * T((x * y) \ z,u) != w | x * (y * T(y \ (x \ z),u)) = w. [para(509(a,1),219(a,1,2))]. 872 (x / y) * (y * T(y \ 1,z)) = x * T(x \ (x / y),z). [para(542(a,2),434(a,1,2)),flip(a)]. 873 T((x \ y) / y,z) * y = (T(1 / x,z) * x) * (x \ y). [para(543(a,2),309(a,1,1))]. 874 x * (y * (y \ z)) != u * w | T(u,w) = w \ (x * z). [para(119(a,1),551(a,2)),flip(b)]. 875 ((x / y) * y) * z != u * w | T(u,w) = w \ (x * z). [para(119(a,1),568(a,2)),flip(b)]. 876 x * (((x \ 1) \ y) * (x \ 1)) = T(x * y,x \ 1). [hyper(236,a,502,a(flip),b,575,a(flip)),flip(a)]. 877 (x \ 1) * T((x \ 1) \ y,z) = x \ T(x * y,z). [hyper(72,a,575,a(flip),b,188,a),flip(a)]. 878 x \ T(x * y,x \ 1) = ((x \ 1) \ y) * (x \ 1). [hyper(72,a,575,a(flip),b,502,a(flip))]. 880 T(x * (y \ 1),z) / (y \ 1) = T(x / y,z) * y. [hyper(74,a,580,a(flip),b,189,a)]. 881 (1 / x) * (x * T(x \ y,z)) = T((1 / x) * y,z). [hyper(772,a,592,a)]. 882 (1 / x) \ T((1 / x) * y,z) = x * T(x \ y,z). [hyper(72,a,592,a(flip),b,430,a)]. 885 ((x \ T(x,y)) * x) / (x \ T(x,y)) = L(x,x \ T(x,y),x). [para(192(a,1),604(a,1,1,2))]. 886 L(x,x \ y,x) * (x \ y) != z | (x \ y) * T(x,y) = z. [para(604(a,1),221(a,1,1)),flip(b)]. 887 ((x * y) \ x) * (x * y) = x * (y * T(y \ 1,x * y)). [para(158(a,1),606(a,2,1)),flip(a)]. 888 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(72,a,91,a(flip),b,614,a),flip(a)]. 889 (x * y) * z != (u * x) * y | R(T(u,x * y),x,y) = z. [para(614(a,1),19(a,1)),flip(a)]. 890 (x * y) * T(y,x) = (y * x) * y. [para(760(a,1),614(a,1,2))]. 891 (x * (y / x)) * x = y * T(x,y / x). [hyper(303,a,890,a),flip(a)]. 893 (x * y) \ (y * T(x,y / x)) = a(x,y / x,x). [para(891(a,1),93(a,1,2))]. 894 T(T((x * y) / x,z),y * x) = L(T(y,z),x,y). [hyper(236,a,40,a,b,666,a)]. 895 T(x,y) * (x \ z) != u | (x \ z) * T((x \ z) \ z,y) = u. [para(62(a,1),667(a,1,1,1))]. 896 T(x / (x / y),z) * (x / y) != u | (x / y) * T(y,z) = u. [para(16(a,1),671(a,1,1,1,1))]. 897 ((x * y) * (y \ z)) / T(x * z,a(x,y,y \ z)) = a(x,y,y \ z). [hyper(74,a,676,a(flip),b,119,a)]. 901 x \ ((x / y) * ((y \ z) * y)) = T(x \ ((x / y) * z),y). [para(453(a,1),756(a,1,1)),flip(a)]. 903 T((x * y) * (x \ 1),x) != z | R(y,x,x \ 1) = z. [para(768(a,1),287(a,1,1)),flip(b)]. 904 L(((x / y) \ z) / y,y,x / y) = (y * (x \ z)) / y. [para(16(a,1),819(a,2,1,2,1))]. 905 L((x \ (y * (x * z))) / z,z,x) = (z * T(y,x * z)) / z. [para(32(a,2),819(a,2,1,2))]. 906 L((x \ (T(x,y) * y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(176(a,1),819(a,2,1,2))]. 907 ((x / y) * ((y \ z) \ z)) / (x / y) = T(x / (x / y),y \ z). [para(120(a,1),416(a,1,1,2))]. 908 T(x,y) * (y * x) != x * z | T(T(x,y * x) * y,x) = z. [para(760(a,1),479(a,1,1))]. 909 x * T(y,y \ z) != u | x * ((y \ z) \ z) = u. [para(645(a,1),296(a,1)),flip(b)]. 913 ((x \ 1) * (x * y)) \ (K(x \ 1,x) * y) != z | a(x \ 1,x,y) = z. [para(187(a,2),679(a,1,2,1))]. 914 R((x * (y / z)) / x,z,z \ 1) / (z \ 1) = z * ((x * (z \ y)) / x). [hyper(236,a,395,a,b,825,a(flip)),flip(a)]. 915 (x * ((y * z) / y)) / x = (y * ((x * z) / x)) / y. [para(13(a,1),827(a,1,1,2,1,2))]. 916 ((x * (y / z)) / x) * z != u | z * ((x * (z \ y)) / x) = u. [para(827(a,1),221(a,1,1)),flip(b)]. 918 ((x * (y / (y / z))) / x) \ ((y / z) * ((x * z) / x)) = y / z. [para(65(a,1),828(a,1,2,2,1,2))]. 919 T(T((x * y) / (z * y),u),z) = R(T(z \ x,u),z,y). [para(114(a,1),830(a,1,1,1))]. 920 R(T(x \ y,x * z),x,z) = T((x * z) \ (y * z),x). [para(487(a,1),830(a,1,1)),flip(a)]. 921 R(T(x \ y,z),x,x \ z) = T(z \ (y * (x \ z)),x). [para(698(a,1),830(a,1,1)),flip(a)]. 922 T(T(x,x * y) * y,T(x,y)) = x * y. [hyper(168,a,867,a,b,xx)]. 925 x \ T(x * (y * (x \ 1)),z) = T(y,z) * (x \ 1). [hyper(706,a,877,a),flip(a)]. 926 (x \ 1) \ (x \ T(x * y,z)) = T((x \ 1) \ y,z). [hyper(80,a,877,a)]. 927 (x \ 1) * T((x \ 1) \ 1,y) = x \ T(x,y). [para(12(a,1),877(a,2,2,1))]. 928 (x \ 1) * T((x \ 1) \ (x \ y),z) = x \ T(y,z). [para(14(a,1),877(a,2,2,1))]. 929 T(1 / (x \ 1),y) * (x \ 1) = x \ T(x,y). [hyper(409,a,927,a)]. 930 T(x,y) * (x \ 1) = x \ T(x,y). [hyper(236,a,407,a(flip),b,927,a(flip)),flip(a)]. 931 (x * y) \ (y * (x \ T(x,y))) = L(x \ 1,T(x,y),y). [para(930(a,1),177(a,1,2,2))]. 932 (x / y) \ T(x,(x / y) \ 1) = (((x / y) \ 1) \ y) * ((x / y) \ 1). [para(16(a,1),878(a,1,2,1))]. 933 T(x * (y \ 1),z) / (y \ 1) = y * T(y \ x,z). [hyper(236,a,405,a(flip),b,880,a)]. 934 T(x * (y \ 1),z) / (y \ 1) != u | y * T(y \ x,z) = u. [para(880(a,2),667(a,1))]. 935 (1 / x) * ((x \ y) * x) = T((1 / x) * y,x). [hyper(535,a,881,a)]. 936 T((1 / x) * y,x) != (1 / x) * z | (x \ y) * x = z. [para(935(a,1),19(a,1))]. 937 x * T(x \ ((1 / x) \ y),z) = (1 / x) \ T(y,z). [para(14(a,1),882(a,1,2,1)),flip(a)]. 939 T(x * (y * (x \ 1)),z) = x * (T(y,z) * (x \ 1)). [para(925(a,1),14(a,1,2)),flip(a)]. 940 (x \ 1) \ (x \ T(y,z)) = T((x \ 1) \ (x \ y),z). [para(14(a,1),926(a,1,2,2,1))]. 941 (x \ 1) * T((x \ 1) \ y,z) != u | x \ T(x * y,z) = u. [para(926(a,1),216(a,1,2)),flip(b)]. 942 (x \ T(y,z)) / (x \ 1) = T((x \ y) / (x \ 1),z). [hyper(74,a,928,a(flip),b,405,a)]. 943 T(x * ((y \ 1) \ 1),z) / ((y \ 1) \ 1) = y \ T(y * x,z). [hyper(236,a,877,a(flip),b,933,a)]. 944 T(x \ 1,y) / (x \ 1) = x * T(x \ 1,y). [para(11(a,1),933(a,1,1,1))]. 945 (x * T(x \ y,z)) * (x \ 1) = T(y * (x \ 1),z). [para(933(a,1),16(a,1,1))]. 946 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((1 / x) \ y),x). [para(937(a,1),398(a,1,2))]. 947 (x \ 1) * T((x \ 1) \ (x \ y),z) != u | x \ T(y,z) = u. [para(940(a,1),216(a,1,2)),flip(b)]. 949 T((x * y) * (x \ 1),z) = (x * T(y,z)) * (x \ 1). [para(13(a,1),945(a,1,1,2,1)),flip(a)]. 950 K(x,1 / x) \ x = L(x,1 / x,x). [para(64(a,1),310(a,1,2))]. 951 K(x,1 / x) * L(x,1 / x,x) = x. [para(950(a,1),14(a,1,2))]. 952 K(x,1 / x) * y != x | L(x,1 / x,x) = y. [para(951(a,1),19(a,1)),flip(a)]. 953 (x * y) * R((x * y) \ x,z,u) = x * (y * R(y \ 1,z,u)). [para(158(a,1),443(a,1,2,1))]. 954 (x * y) * R((x * y) \ z,u,w) = x * (y * R(y \ (x \ z),u,w)). [para(227(a,1),443(a,1,2,1))]. 955 (x * y) * L((x * y) \ z,u,w) = x * (y * L(y \ (x \ z),u,w)). [para(227(a,1),444(a,1,2,1))]. 956 (x * y) * L(T(x,x * y),z,u) = x * (y * L(T(x,y),z,u)). [para(595(a,1),444(a,1,2,1))]. 957 K(x \ 1,x) * L(x \ y,x,x \ 1) = (x \ 1) * y. [hyper(236,a,88,a(flip),b,446,a)]. 958 K(x \ 1,x) * T(((x \ 1) * x) \ y,z) = (x \ 1) * (x * T(x \ ((x \ 1) \ y),z)). [para(509(a,1),446(a,1,2))]. 961 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(930(a,1),497(a,1,1,1))]. 962 (x \ 1) * L((x \ 1) \ y,z,u) = x \ L(x * y,z,u). [para(451(a,1),501(a,1,2,1)),flip(a)]. 963 L(x * (y \ 1),z,u) / (y \ 1) = L(x / y,z,u) * y. [para(482(a,1),505(a,1,1,1))]. 965 L(T(x,1 / x),y,z) / x = L(x,y,z) * (1 / x). [para(764(a,1),507(a,1,1,1))]. 966 (x / y) * (y * L(y \ ((x / y) \ z),u,w)) = x * L(((x / y) * y) \ z,u,w). [para(510(a,1),434(a,1,2)),flip(a)]. 968 K(x \ 1,x) * L(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(510(a,1),446(a,1,2))]. 969 (1 / x) \ L(1 / x,y,z) = x * L(x \ 1,y,z). [para(380(a,1),573(a,1,2,1))]. 970 (1 / x) \ L(x \ 1,y,z) = x * L(T(x \ 1,x),y,z). [para(712(a,1),573(a,1,2,1))]. 971 (x \ 1) * R((x \ 1) \ y,z,u) = x \ R(x * y,z,u). [hyper(72,a,576,a(flip),b,188,a),flip(a)]. 972 (R(x / y,z,u) * y) * (y \ 1) = R(x * (y \ 1),z,u). [hyper(371,a,581,a)]. 973 (1 / x) * (x * R(x \ y,z,u)) = R((1 / x) * y,z,u). [hyper(772,a,593,a)]. 974 x * ((x \ y) * T((x \ y) \ z,u)) = y * T(y \ (x * z),u). [para(725(a,1),433(a,1,2)),flip(a)]. 975 (T(x / (y / z),u) * (y / z)) * z = T((x * z) / y,u) * y. [para(735(a,1),278(a,1,1)),flip(a)]. 980 ((((x * y) * z) / (x * y)) * x) * y != u | (x * y) * R(z,x,y) = u. [para(113(a,1),839(a,1))]. 981 ((x * (y / (z * y))) / x) * (z * y) = (((x * (1 / z)) / x) * z) * y. [para(840(a,1),113(a,1,1))]. 982 ((x * ((y \ z) / (y * (y \ z)))) / x) * z = (((x * (1 / y)) / x) * y) * (y \ z). [para(840(a,1),309(a,1,1))]. 983 R(T(x \ 1,x * y),x,y) = T((x * y) \ y,x). [para(11(a,1),920(a,2,1,2))]. 984 T((x * y) \ ((x * z) * y),x) = R(T(z,x * y),x,y). [para(13(a,1),920(a,1,1,1)),flip(a)]. 985 ((x \ y) * x) * (x \ z) = z * T(z \ (y * (x \ z)),x). [para(921(a,1),699(a,1,2)),flip(a)]. 986 K(x \ 1,x) * y != (x \ 1) * z | L(x \ z,x,x \ 1) = y. [para(957(a,1),19(a,1)),flip(a)]. 988 R(x,y \ 1,y) * K(y \ 1,y) != z * u | z \ ((x * (y \ 1)) * y) = u. [para(187(a,2),552(a,1,2))]. 989 x * R(T(y,y * x),z,u) = L(R(y,z,u),x,y) * x. [para(597(a,1),609(a,1,2))]. 990 R(T(x,x \ y),z,u) = R((x \ y) \ y,z,u). [hyper(17,a,182,a,b,621,a),flip(a)]. 991 x \ R(T(y,y \ z),u,w) = x \ R((y \ z) \ z,u,w). [hyper(72,a,990,a,b,14,a)]. 992 T(x,x \ y) \ R(T(z,z \ u),w,v5) = ((x \ y) \ y) \ R((z \ u) \ u,w,v5). [hyper(72,a,990,a(flip),b,311,a),flip(a)]. 995 x * (y * T(T(x,y),z)) = T(x,z) * (x * y). [hyper(368,a,858,a),flip(a)]. 996 T(x,y) * (x * z) = x * (T(x,y) * z). [para(180(a,1),995(a,1,2)),flip(a)]. 997 x \ (T(x,y) * z) = T(x,y) * (x \ z). [hyper(551,a,996,a)]. 998 T(x,y) * (x \ (T(x,y) \ z)) = x \ z. [hyper(546,a,996,a),flip(a)]. 999 x * (T(x,y) * T(z,x)) = T(x,y) * (z * x). [hyper(535,a,996,a),flip(a)]. 1000 T(T(x,y),x * (T(x,y) \ z)) = (x * (T(x,y) \ z)) \ (x * z). [hyper(394,a,88,a(flip),b,996,a)]. 1001 x * (T(x,y) * (x \ z)) = T(x,y) * z. [hyper(307,a,996,a),flip(a)]. 1002 T(x,y) * (x * (T(x,y) \ z)) = x * z. [hyper(236,a,88,a(flip),b,996,a)]. 1003 T(x,y) \ (x * z) = x * (T(x,y) \ z). [hyper(72,a,88,a(flip),b,996,a)]. 1004 x * (T(x,y) \ 1) = T(x,y) \ x. [hyper(72,a,56,a(flip),b,996,a),flip(a)]. 1005 (x / y) * (T(x / y,z) * y) = T(x / y,z) * x. [para(16(a,1),996(a,1,2)),flip(a)]. 1006 T(x,y) * (x * z) != x * u | T(x,y) * z = u. [para(996(a,2),19(a,1))]. 1007 (x / y) * (T(x / y,y) * z) = (y \ x) * ((x / y) * z). [para(121(a,1),996(a,1,1)),flip(a)]. 1008 T((T(x,y) \ x) / x,x) = T(x,y) \ 1. [hyper(168,a,16,a,b,1004,a)]. 1009 (T(x,y) \ x) / (T(x,y) \ 1) = x. [hyper(87,a,1004,a)]. 1010 x \ (T(x,y) \ x) = T(x,y) \ 1. [hyper(80,a,1004,a)]. 1011 x \ (T(x,y) \ x) != z | T(x,y) \ 1 = z. [para(1004(a,1),283(a,1,2)),flip(b)]. 1012 L(T(x,y) \ 1,x,1 / x) = (1 / x) * (T(x,y) \ x). [para(1004(a,1),430(a,1,2)),flip(a)]. 1013 T(x,T(x,y) \ 1) != z | (T(x,y) \ 1) \ (T(x,y) \ x) = z. [para(1009(a,1),280(a,1,1))]. 1014 (T(x,y) \ T(x,z)) / (T(x,y) \ 1) = T(x,z). [para(1009(a,1),942(a,2,1))]. 1015 T((1 / x) * (T(x,y) \ x),x) = (1 / x) * ((T(x,y) \ 1) * x). [para(1010(a,1),935(a,1,2,1)),flip(a)]. 1016 T(x,y) \ (x \ z) = x \ (T(x,y) \ z). [hyper(80,a,998,a)]. 1017 T(x,y) * z != x * u | T(x,y) * (x \ z) = u. [para(1001(a,1),19(a,1))]. 1018 x * (T(x,y) \ y) = T(y,T(x,y)). [hyper(360,a,1002,a),flip(a)]. 1019 x * (T(x,y) \ ((x \ T(x,y)) * z)) = L(z,x \ T(x,y),x). [hyper(17,a,433,a,b,1002,a)]. 1020 T(x,y) \ (x * z) != u | x * (T(x,y) \ z) = u. [para(1002(a,1),283(a,1,2)),flip(b)]. 1022 T(x,y) * (x \ (T(x,y) \ z)) != u | x \ z = u. [para(1016(a,1),216(a,1,2)),flip(b)]. 1023 x * (T(x,y) \ (x \ z)) != u | T(x,y) \ z = u. [para(1016(a,2),216(a,1,2)),flip(b)]. 1025 T(x,y) * (x \ (T(x,y) \ z)) != u * w | (x \ z) / w = u. [para(1016(a,1),529(a,1,2))]. 1026 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,T(x,y)). [hyper(17,a,433,a,b,999,a)]. 1027 T(x,y) * (T(x,z) \ 1) = T(x,z) \ T(x,y). [para(1014(a,1),16(a,1,1))]. 1028 T(x / y,z) \ T(x / y,y) = (y \ x) * (T(x / y,z) \ 1). [para(121(a,1),1027(a,1,1)),flip(a)]. 1030 T(x,y) * (x \ z) != u | x \ (T(x,y) * z) = u. [para(13(a,1),1022(a,1,2,2))]. 1031 T(x,y) * (x \ 1) != z | x \ T(x,y) = z. [para(52(a,1),1022(a,1,2,2))]. 1032 (x \ 1) * T((x \ 1) \ 1,y) != z | x \ T(x,y) = z. [para(407(a,2),1031(a,1))]. 1033 x * (T(x,y) \ z) != u | T(x,y) \ (x * z) = u. [para(13(a,1),1023(a,1,2,2))]. 1034 (x / y) * (y * T(y \ x,z)) = T(x / y,z) * x. [para(405(a,1),1005(a,1,2))]. 1036 T(x / y,z) * u != (x / y) * (y * T(y \ x,z)) | u = x. [para(1034(a,2),19(a,2))]. 1037 (x / y) \ ((x \ (x / y)) * x) = y * T(y \ 1,x). [hyper(72,a,119,a(flip),b,872,a)]. 1038 (x / y) * K(y \ 1,y) = x * T(x \ (x / y),y). [para(272(a,1),872(a,1,2))]. 1039 x \ K(y \ (y / x),y) = T(x \ 1,y). [hyper(533,a,1037,a)]. 1040 K(x \ (x / y),x) = y * T(y \ 1,x). [hyper(421,a,1037,a)]. 1041 x * T(x \ 1,y) != z | K(y \ (y / x),y) = z. [para(1037(a,1),421(a,1))]. 1043 K(x \ (x / (y \ 1)),x) = y \ T(y,x). [hyper(236,a,927,a(flip),b,1040,a)]. 1044 K(x \ (x / y),x) / y = T(1 / y,x). [hyper(74,a,1040,a,b,405,a)]. 1045 T(x,y) * ((T(x,y) \ 1) * x) = x * K(x \ (x / T(x,y)),x). [para(1040(a,2),999(a,1,2)),flip(a)]. 1046 K(x \ (x / ((y / x) \ 1)),x) = (y / x) \ (x \ y). [para(121(a,1),1043(a,2,2))]. 1047 K(x \ (x / (((x * y) / x) \ 1)),x) = ((x * y) / x) \ y. [para(162(a,1),1043(a,2,2))]. 1048 K((x * y) \ x,x * y) / y = T(1 / y,x * y). [para(15(a,1),1044(a,1,1,1,2))]. 1049 (T(1 / x,y) * x) * (x \ z) = z * T(z \ (x \ z),y). [hyper(667,a,873,a),flip(a)]. 1051 (x \ 1) * L((x \ 1) \ 1,y,z) = x \ L(x,y,z). [para(12(a,1),962(a,2,2,1))]. 1052 L(x * (y \ 1),z,u) / (y \ 1) = y * L(y \ x,z,u). [hyper(236,a,610,a(flip),b,963,a)]. 1053 L(x \ 1,y,z) / (x \ 1) = L(1 / x,y,z) * x. [para(11(a,1),963(a,1,1,1))]. 1054 L(x \ 1,x,y) / (x \ 1) = x * ((y * x) \ y). [hyper(236,a,799,a(flip),b,1053,a)]. 1055 (x * ((y * x) \ y)) * (x \ 1) = L(x \ 1,x,y). [para(1054(a,1),16(a,1,1))]. 1056 (x * ((y * x) \ y)) \ L(x \ 1,x,y) = x \ 1. [para(1054(a,1),65(a,1,1))]. 1057 ((x * y) \ x) / (y \ 1) = y * ((x * y) \ x). [para(158(a,1),1054(a,1,1))]. 1058 (x * ((y * x) \ y)) * (x \ 1) = (y * x) \ y. [para(1057(a,1),16(a,1,1))]. 1059 ((x * y) \ y) / (T(x,y) \ 1) = T(x,y) * ((y * T(x,y)) \ y). [para(119(a,1),1057(a,1,1,1))]. 1060 ((x * y) \ x) * K(y \ 1,y * ((x * y) \ x)) = (y \ 1) * (y * ((x * y) \ x)). [para(1058(a,1),95(a,1,1))]. 1061 L(x \ 1,x,y) \ ((x \ 1) * (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [para(1055(a,1),26(a,2,1)),flip(a)]. 1062 ((x \ y) * (y \ x)) \ L((x \ y) \ 1,x \ y,x) = (x \ y) \ 1. [para(14(a,1),1056(a,1,1,2,1))]. 1063 (1 / x) \ L(x \ 1,y,z) = L(x \ 1,y,z) * x. [hyper(236,a,181,a(flip),b,970,a)]. 1064 (1 / x) \ L(x \ 1,y,z) != u | L(x \ 1,y,z) * x = u. [para(970(a,2),369(a,1))]. 1065 (1 / x) * (L(x \ 1,y,z) * x) = L(x \ 1,y,z). [para(1063(a,1),14(a,1,2))]. 1066 L((x \ y) \ 1,x \ y,x) * (x \ y) = (1 / (x \ y)) \ (y \ x). [para(347(a,1),1063(a,1,2)),flip(a)]. 1067 (x * y) \ x = (1 / y) * (L(y \ 1,y,x) * y). [hyper(236,a,158,a(flip),b,1065,a),flip(a)]. 1068 (1 / x) * (((y * x) \ y) * x) = (y * x) \ y. [para(158(a,1),1067(a,2,2,1)),flip(a)]. 1069 ((x * (y \ 1)) \ x) * (y \ 1) = y \ ((x * (y \ 1)) \ x). [hyper(72,a,1068,a(flip),b,134,a(flip)),flip(a)]. 1070 (x \ 1) * R((x \ 1) \ 1,y,z) = x \ R(x,y,z). [para(12(a,1),971(a,2,2,1))]. 1071 R(x,y,z) * (x \ 1) = x \ R(x,y,z). [hyper(236,a,621,a(flip),b,1070,a(flip)),flip(a)]. 1072 R(x,y,z) \ (x \ R(x,y,z)) = x \ 1. [hyper(72,a,1070,a(flip),b,621,a(flip))]. 1073 R(x,y,y \ 1) \ a(x,y,y \ 1) = x \ 1. [hyper(72,a,688,a(flip),b,1071,a)]. 1074 (x \ R(x,y,z)) / R(T(x,x \ 1),y,z) = x \ 1. [hyper(74,a,1071,a(flip),b,182,a)]. 1075 (x \ R(x,y,z)) * K(x \ 1,R(x,y,z)) = (x \ 1) * R(x,y,z). [para(1071(a,1),95(a,1,1))]. 1076 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(1071(a,1),635(a,1,1,2)),flip(a)]. 1077 T((R(x,y,z) * (1 / x)) / R(x,y,z),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1071(a,1),670(a,2,1))]. 1079 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(1072(a,1),1046(a,2,2))]. 1080 (x * R(x \ y,z,u)) * (x \ 1) = R(y * (x \ 1),z,u). [para(618(a,1),972(a,1,1))]. 1081 (1 / x) * (x * R(x \ 1,y,z)) = R(1 / x,y,z). [para(12(a,1),973(a,2,1))]. 1082 (1 / x) \ R(1 / x,y,z) = x * R(x \ 1,y,z). [hyper(80,a,1081,a)]. 1083 (x / y) * R((x / y) \ 1,x / y,y) = (1 / (x / y)) \ (y / x). [hyper(72,a,355,a(flip),b,1081,a),flip(a)]. 1084 x * R(x \ 1,y,y \ 1) = a(1 / x,y,y \ 1). [hyper(17,a,689,a,b,1081,a)]. 1087 (1 / x) * ((y / (x * y)) * x) = R(1 / x,x,y). [para(635(a,2),1081(a,1,2))]. 1088 ((x / (y * x)) * y) \ (x / (y * x)) = T(1 / y,(x / (y * x)) * y). [hyper(394,a,159,a(flip),b,1087,a),flip(a)]. 1089 x * R(x \ 1,y,y \ 1) != z | a(1 / x,y,y \ 1) = z. [para(1082(a,1),690(a,1))]. 1090 (x / y) * ((y \ x) * z) = (y \ x) * ((x / y) * z). [para(121(a,1),1007(a,1,2,1))]. 1091 (x \ (x * y)) * (((x * y) / x) * z) = ((x * y) / x) * (y * z). [para(162(a,1),1007(a,1,2,1)),flip(a)]. 1092 (x / y) * ((y \ x) \ 1) = (y \ x) \ (x / y). [hyper(366,a,1090,a),flip(a)]. 1093 (x \ y) * ((y / x) \ 1) = (y / x) \ (x \ y). [hyper(72,a,56,a(flip),b,1090,a),flip(a)]. 1094 ((x / y) \ x) \ (x / (x / y)) = (x / (x / y)) * (y \ 1). [para(65(a,1),1092(a,1,2,1)),flip(a)]. 1095 (x / y) \ (y \ x) != (y \ x) * z | (x / y) \ 1 = z. [para(1093(a,1),19(a,1))]. 1096 T((x * y) / x,K(x \ (x / (((x * y) / x) \ 1)),x)) != z | (((x * y) / x) \ y) \ y = z. [para(1047(a,2),375(a,1,2))]. 1097 K((x / y) \ ((x / y) / (T(x / (x / y),z) \ 1)),x / y) = (((x / y) * T(y,z)) / (x / y)) \ T(y,z). [para(416(a,1),1047(a,1,1,2,2,1))]. 1098 (x * T(x \ 1,y)) * (x \ z) = z * T(z \ (x \ z),y). [para(405(a,1),1049(a,1,1))]. 1099 (x \ T(x,y)) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(929(a,1),1049(a,1,1))]. 1101 L(x * y,z,u) / ((1 / y) \ 1) = (1 / y) * L((1 / y) \ x,z,u). [para(65(a,1),1052(a,1,1,1,2))]. 1102 R(x * (y \ 1),z,u) / (y \ 1) = y * R(y \ x,z,u). [hyper(87,a,1080,a)]. 1103 (x / (x / y)) * (y \ 1) = y \ (x / (x / y)). [para(65(a,1),1094(a,1,1)),flip(a)]. 1104 (x \ (y \ x)) * x = (y * T(y \ 1,x)) * (y \ x). [hyper(236,a,119,a(flip),b,1098,a),flip(a)]. 1105 (x * T(x \ (y \ x),z)) / (y \ x) != u | y * T(y \ 1,z) = u. [para(1098(a,1),296(a,1,1)),flip(b)]. 1106 K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),x). [para(272(a,1),1098(a,1,1))]. 1107 T(x * T(x \ 1,y),x \ y) = K(y \ (x \ y),y). [hyper(168,a,1104,a(flip),b,249,a)]. 1110 R(x \ 1,y,z) / (x \ 1) = x * R(x \ 1,y,z). [para(11(a,1),1102(a,1,1,1))]. 1111 x * R(x \ (y / (x \ 1)),z,u) = R(y,z,u) / (x \ 1). [para(16(a,1),1102(a,1,1,1)),flip(a)]. 1112 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(1110(a,1),1043(a,1,1,2))]. 1114 L((x \ y) / y,z,u) * y = (L(1 / x,z,u) * x) * (x \ y). [para(354(a,1),702(a,1,1,1))]. 1115 x * ((x \ y) * L((x \ y) \ z,u,w)) = y * L(y \ (x * z),u,w). [para(450(a,1),721(a,1,2,1)),flip(a)]. 1116 x * ((x \ y) * R((x \ y) \ z,u,w)) = y * R(y \ (x * z),u,w). [para(726(a,1),433(a,1,2)),flip(a)]. 1117 (R(x / (y / z),u,w) * (y / z)) * z = R((x * z) / y,u,w) * y. [para(736(a,1),278(a,1,1)),flip(a)]. 1118 (x * y) * L(T(y,x),z,u) = (L(y,z,u) * x) * y. [hyper(236,a,471,a(flip),b,761,a(flip))]. 1119 (x * y) * R(T(y,x),z,u) = (R(y,z,u) * x) * y. [hyper(236,a,472,a(flip),b,762,a(flip))]. 1121 (((x * (y * z)) / (x * y)) * x) * y = (x * y) * R(L(z,y,x),x,y). [para(103(a,1),812(a,1,1,1,1))]. 1122 (x * y) * ((z * ((x * y) \ x)) / z) = x * (y * ((z * (y \ 1)) / z)). [para(158(a,1),834(a,1,2,1,2))]. 1123 (x * y) * ((z * ((x * y) \ (x * u))) / z) = x * (y * ((z * (y \ u)) / z)). [para(105(a,1),834(a,1,2,1,2))]. 1124 (x * y) * ((z * ((x * y) \ u)) / z) = x * (y * ((z * (y \ (x \ u))) / z)). [para(227(a,1),834(a,1,2,1,2))]. 1125 (x * y) * ((z * ((x * y) \ (x * u))) / z) != w | x * (y * ((z * (y \ u)) / z)) = w. [para(835(a,1),219(a,1,2))]. 1126 (x / y) * (y * ((z * (y \ 1)) / z)) = x * ((z * (x \ (x / y))) / z). [para(836(a,1),434(a,1,2)),flip(a)]. 1127 (1 / x) \ ((y * ((1 / x) * z)) / y) = x * ((y * (x \ z)) / y). [hyper(72,a,837,a(flip),b,430,a)]. 1128 ((x * (y / (1 / z))) / x) * (1 / z) = ((x * (y * z)) / x) / z. [hyper(74,a,843,a(flip),b,190,a),flip(a)]. 1129 (x * y) * T((x * y) \ (y * z),u) = y * (T(x,y) * T(T(x,y) \ z,u)). [para(861(a,1),445(a,1,2))]. 1130 L((x \ (y * (x * z))) / z,z,x) = T((z * y) / z,x * z). [hyper(236,a,412,a(flip),b,905,a)]. 1131 L((T(x,y) * (x \ y)) / y,y,x) = (y * K(T(x,y),y)) / y. [para(997(a,1),906(a,1,1,1))]. 1132 T(T(x,y * x) * y,x) = T(x,y) * T(y,x). [hyper(908,a,999,a(flip))]. 1133 T(x \ 1,y) / (x \ 1) != z | x * T(x \ 1,y) = z. [para(11(a,1),934(a,1,1,1))]. 1134 (R(x,y,z * u) * (y * z)) \ ((x * y) * (z * u)) = L(L(u,z,y),y * z,R(x,y,z * u)). [para(113(a,1),440(a,1,2))]. 1135 ((((x * y) / x) \ z) \ z) * x != x * u | T(y,((x * y) / x) \ z) = u. [para(664(a,2),19(a,1))]. 1136 (x * y) * R((x * y) \ (x * z),u,w) != v5 | x * (y * R(y \ z,u,w)) = v5. [para(105(a,1),771(a,1,2,1))]. 1138 (T((x * y) / x,z) * x) * y = (x * y) * T(y,z). [hyper(671,a,868,a),flip(a)]. 1139 (x * y) * T((x * y) \ (z * y),u) = (T(z / x,u) * x) * y. [hyper(667,a,868,a)]. 1140 (x * T(y,z)) * y = (x * y) * T(y,z). [para(406(a,1),1138(a,1,1))]. 1141 (x * y) / T(y,z) = (x / T(y,z)) * y. [hyper(559,a,1140,a)]. 1142 (1 / T(x,y)) * x = x / T(x,y). [hyper(373,a,1140,a),flip(a)]. 1143 ((x / T(y,z)) * y) * T(y,z) = x * y. [hyper(303,a,1140,a),flip(a)]. 1145 ((x / y) * T(y,z)) * y = x * T(y,z). [hyper(236,a,89,a(flip),b,1140,a)]. 1146 T(x * T(y,x * y),y) = x * y. [hyper(168,a,1140,a,b,119,a(flip))]. 1147 (x * T(y,z)) \ ((x * y) * T(y,z)) = y. [hyper(80,a,1140,a)]. 1148 (x * (y * x)) / x = y * T(x,y * x). [hyper(74,a,119,a(flip),b,1140,a)]. 1149 ((x / T(y,z)) / y) * T(y,z) = x / y. [hyper(74,a,68,a(flip),b,1140,a),flip(a)]. 1150 (1 / x) * T(x,y) = T(x,y) / x. [hyper(74,a,63,a(flip),b,1140,a),flip(a)]. 1152 (x * T(T(y,x),z)) * T(y,x) = (y * x) * T(T(y,x),z). [para(119(a,1),1140(a,2,1))]. 1153 (x * (y / z)) * T(y / z,z) = (x * (z \ y)) * (y / z). [para(121(a,1),1140(a,1,1,2)),flip(a)]. 1155 (1 / T(x,y)) \ (x / T(x,y)) = x. [hyper(80,a,1142,a)]. 1156 (x * (y * x)) / x != z | y * T(x,y * x) = z. [para(1146(a,1),300(a,1,1,2)),flip(b)]. 1157 T(x,y) \ (T(x,y) / x) = T(1 / x,T(x,y)). [hyper(394,a,xx,b,1150,a),flip(a)]. 1158 (T(x,y) / x) / T(x,y) = 1 / x. [hyper(87,a,1150,a)]. 1159 (1 / x) \ (T(x,y) / x) = T(x,y). [hyper(80,a,1150,a)]. 1161 T((T(x,y) * (1 / x)) / T(x,y),T(x,y) / x) = L(1 / x,T(x,y),1 / x). [para(1150(a,1),663(a,1,2))]. 1162 K(x,1 / x) \ (x * (T(x,y) / x)) = L(T(x,y),1 / x,x). [para(1150(a,1),310(a,1,2,2))]. 1163 (1 / T(x,y)) * x != z | x / T(x,y) = z. [para(1155(a,1),216(a,1,2)),flip(b)]. 1164 (x * y) / T(y,z) != y * u | T(x / T(y,z),y) = u. [para(1141(a,2),169(a,2)),flip(a)]. 1166 (x / y) * T(y,x) = (y * x) / y. [hyper(74,a,119,a(flip),b,1145,a),flip(a)]. 1168 T(x,y) \ ((x * y) / x) = T(y / x,T(x,y)). [hyper(394,a,xx,b,1166,a),flip(a)]. 1169 ((x \ y) * y) / (x \ y) = x * T(x \ y,y). [hyper(290,a,1166,a),flip(a)]. 1171 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = (y * x) * T(L(x \ 1,x,y),y). [para(353(a,1),1166(a,1,1)),flip(a)]. 1172 (L(x,1 / x,y) * y) / L(x,1 / x,y) = (y * (1 / x)) * T(L(x,1 / x,y),y). [para(384(a,1),1166(a,1,1)),flip(a)]. 1173 R(T(x,y * T(x,z)),y,T(x,z)) = T(x,y). [para(1147(a,1),984(a,1,1)),flip(a)]. 1174 x \ ((y * (x * y)) / y) = T(y,x * y). [hyper(72,a,1148,a,b,xx)]. 1177 R(T(x,L(x,y,x) * y),y,T(x,x * y)) = T(x,y). [para(598(a,1),1173(a,1,1,2))]. 1179 K(T(1 / x,T(x,y)),T(x,y)) = x * T(x \ 1,T(x,y)). [para(1157(a,1),1040(a,1,1))]. 1180 (T(x,y) * z) * T(x,z) = (x * z) * T(T(x,z),y). [para(180(a,1),1152(a,1,1))]. 1181 T(T(x,x \ 1),y) / T(x,x \ 1) = T(x,y) * (x \ 1). [hyper(74,a,54,a(flip),b,1180,a)]. 1183 (x * (y / z)) * (z \ y) = (x * (z \ y)) * (y / z). [para(121(a,1),1153(a,1,2))]. 1184 (x * (y \ (y * z))) * ((y * z) / y) = (x * ((y * z) / y)) * z. [para(162(a,1),1153(a,1,2)),flip(a)]. 1185 (x * (y \ z)) / (z / y) = (x / (z / y)) * (y \ z). [hyper(559,a,1183,a)]. 1186 (1 / (x / y)) * (y \ x) = (y \ x) / (x / y). [hyper(373,a,1183,a),flip(a)]. 1189 (x \ y) \ ((x \ y) / (y / x)) = T(1 / (y / x),x \ y). [hyper(394,a,xx,b,1186,a),flip(a)]. 1190 (x \ 1) / (1 / x) = x \ (1 / (1 / x)). [hyper(236,a,1103,a(flip),b,1186,a(flip))]. 1191 ((x / y) \ x) / (x / (x / y)) = (1 / (x / (x / y))) * y. [para(65(a,1),1186(a,1,2)),flip(a)]. 1192 (x \ y) / (y / x) != (x \ y) * z | T(1 / (y / x),x \ y) = z. [para(1186(a,1),169(a,2)),flip(a)]. 1194 ((x / (y \ z)) / (z / y)) * (y \ z) != u | x / (z / y) = u. [para(1185(a,1),379(a,1))]. 1195 T(T(x,x \ 1),y) / T(x,x \ 1) = x \ T(x,y). [hyper(236,a,930,a(flip),b,1181,a)]. 1196 (1 / (x / (x / y))) * y = y / (x / (x / y)). [para(65(a,1),1191(a,1,1)),flip(a)]. 1197 (x / (y / z)) * (z \ y) != u | (x * (z \ y)) / (y / z) = u. [para(15(a,1),1194(a,1,1,1))]. 1198 ((x * (y / (y / T(z,x)))) / x) \ ((y / T(z,x)) * z) = y / T(z,x). [para(163(a,1),918(a,1,2,2))]. 1199 (x * y) * R((y * T(x,y)) \ y,z,u) = y * (T(x,y) * R(T(x,y) \ 1,z,u)). [para(119(a,1),953(a,1,1))]. 1201 (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(103(a,1),953(a,1,1))]. 1202 x * (y * L(T(x,y),z,u)) = L(x,z,u) * (x * y). [hyper(369,a,956,a),flip(a)]. 1203 L(x,y,z) * (x * u) = x * (L(x,y,z) * u). [para(181(a,1),1202(a,1,2)),flip(a)]. 1204 (L(x,y,z) * (x \ u)) \ (L(x,y,z) * u) = T(x,L(x,y,z) * (x \ u)). [hyper(874,a,1203,a),flip(a)]. 1205 x \ (L(x,y,z) * u) = L(x,y,z) * (x \ u). [hyper(551,a,1203,a)]. 1206 L(x,y,z) * (x \ (L(x,y,z) \ u)) = x \ u. [hyper(546,a,1203,a),flip(a)]. 1207 L(x,y,z) * (x \ 1) = x \ L(x,y,z). [hyper(366,a,1203,a),flip(a)]. 1208 x * (L(x,y,z) * (x \ u)) = L(x,y,z) * u. [hyper(307,a,1203,a),flip(a)]. 1209 L(x,y,z) \ (x * (L(x,y,z) * u)) = x * u. [hyper(80,a,1203,a)]. 1210 L(x,y,z) \ (x * u) = x * (L(x,y,z) \ u). [hyper(72,a,88,a(flip),b,1203,a)]. 1211 x * (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(72,a,56,a(flip),b,1203,a),flip(a)]. 1212 ((x * y) * L(x,z,u)) \ (x * (L(x,z,u) * y)) = K(L(x,z,u),x * y). [hyper(72,a,1203,a(flip),b,95,a)]. 1215 L(x,y,z) \ (x \ L(x,y,z)) = x \ 1. [hyper(80,a,1207,a)]. 1216 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(1207(a,1),635(a,1,1,2)),flip(a)]. 1217 x \ T(x * (x \ L(x,y,z)),u) = T(L(x,y,z),u) * (x \ 1). [para(1207(a,1),925(a,1,2,1,2))]. 1218 (x \ y) \ L(x \ y,y \ x,1 / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). [para(855(a,1),1207(a,1,1)),flip(a)]. 1219 x \ (L(x,y,z) \ x) = L(x,y,z) \ 1. [hyper(80,a,1211,a)]. 1220 (x \ 1) \ (((y * x) \ y) \ (x \ 1)) = L(x \ 1,x,y) \ 1. [hyper(72,a,708,a(flip),b,1211,a)]. 1221 L(x,y,z) \ x != x * u | L(x,y,z) \ 1 = u. [para(1211(a,1),19(a,1))]. 1222 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(L(x,y,z) \ 1,x). [para(1211(a,1),26(a,2,1)),flip(a)]. 1224 L(L(x,y,z) \ 1,x,1 / x) = (1 / x) * (L(x,y,z) \ x). [para(1211(a,1),430(a,1,2)),flip(a)]. 1225 L(x,y,z) \ T(L(x,y,z) * (L(x,y,z) \ x),u) = T(x,u) * (L(x,y,z) \ 1). [para(1211(a,1),925(a,1,2,1,2))]. 1226 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(1211(a,2),1107(a,1,2))]. 1227 (x \ y) \ (((y \ x) \ 1) \ L((y \ x) \ 1,y \ x,y)) = ((y \ x) \ 1) \ 1. [para(347(a,1),1215(a,1,1))]. 1229 T((1 / x) * (L(x,y,z) \ x),x) = (1 / x) * ((L(x,y,z) \ 1) * x). [para(1219(a,1),935(a,1,2,1)),flip(a)]. 1230 x \ (L(x,y,z) \ (u * x)) = L(x,y,z) \ T(u,x). [hyper(72,a,32,a,b,1206,a),flip(a)]. 1232 T((x * y) / x,L(y,z,u) * x) = L((y * x) / x,x,L(y,z,u)). [para(1209(a,1),1130(a,1,1,1)),flip(a)]. 1234 x \ (y * T(y \ (x * z),u)) = (x \ y) * T((x \ y) \ z,u). [hyper(80,a,974,a)]. 1235 (x \ y) * T((x \ y) \ z,y) = x \ ((y \ (x * z)) * y). [hyper(72,a,119,a(flip),b,974,a),flip(a)]. 1236 x * ((x \ y) * T((x \ y) \ 1,z)) = y * T(y \ x,z). [para(12(a,1),974(a,2,2,1,2))]. 1237 x * T(x \ (y * (z * (y \ x))),u) = y * (T(z,u) * (y \ x)). [para(403(a,1),974(a,1,2)),flip(a)]. 1238 (x \ y) * T((x \ y) \ 1,y) = x \ ((y \ x) * y). [para(12(a,1),1235(a,2,2,1,2))]. 1239 K(x,y) = ((y * x) \ y) * T(((y * x) \ y) \ 1,y). [hyper(236,a,397,a,b,1238,a),flip(a)]. 1240 T(((x * y) \ x) \ 1,x) = ((x * y) \ x) \ K(y,x). [hyper(72,a,397,a,b,1238,a),flip(a)]. 1241 ((x * y) \ x) * T(((x * y) \ x) \ 1,x) != z | K(y,x) = z. [para(1240(a,2),216(a,1,2)),flip(b)]. 1242 T(L(x \ 1,x,y) \ 1,y) = ((y * x) \ y) \ K(x,y). [para(158(a,2),1240(a,1,1,1))]. 1243 T(((x * y) \ x) \ 1,x) != z | L(y \ 1,y,x) \ K(y,x) = z. [para(1240(a,2),711(a,1))]. 1244 (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = ((x * y) \ x) * T(((x * y) \ x) \ 1,x). [para(1240(a,1),944(a,1,1))]. 1245 K(x,y) = L(x \ 1,x,y) * T(L(x \ 1,x,y) \ 1,y). [para(1242(a,2),386(a,1,2)),flip(a)]. 1246 (x \ y) * T((x \ y) \ 1,z) = x \ (y * T(y \ x,z)). [hyper(80,a,1236,a),flip(a)]. 1247 x * T(x \ y,y \ x) = y * K((y \ x) \ 1,y \ x). [para(272(a,1),1236(a,1,2)),flip(a)]. 1248 x * T(x \ y,z) = y * K(z \ (z / (y \ x)),z). [para(1040(a,2),1236(a,1,2)),flip(a)]. 1249 (x \ y) * K(z \ (z / ((x \ y) \ (x \ 1))),z) = x \ T(y,z). [hyper(947,a,1248,a),flip(a)]. 1250 K(x \ (x / (y \ z)),x) = y \ (z * T(z \ y,x)). [hyper(545,a,1248,a),flip(a)]. 1251 (x * y) * K(z \ (z / ((x * y) \ x)),z) = x * T(y,z). [para(13(a,1),1248(a,1,2,1)),flip(a)]. 1252 (x * (y * z)) * T((x * (y * z)) \ (x * y),u) = (x * y) * K(u \ (u / L(z,y,x)),u). [para(28(a,2),1248(a,2,2,1,2,2))]. 1253 K((x * (y \ z)) \ x,x * (y \ z)) = y \ (z * T(z \ y,x * (y \ z))). [para(15(a,1),1250(a,1,1,2))]. 1254 K(x \ (x / (y \ (y / z))),x) = y \ ((y / z) * T(z,x)). [para(65(a,1),1250(a,2,2,2,1))]. 1255 (x * y) * K(((x * y) \ x) \ 1,(x * y) \ x) = x * T(y,(x * y) \ x). [para(13(a,1),1247(a,1,2,1)),flip(a)]. 1256 K(x \ (x / (x \ (x / y))),x) = x \ ((y * x) / y). [para(1166(a,1),1254(a,2,2))]. 1258 (x * T(x \ (y * z),u)) / z = T(y / (x / z),u) * (x / z). [hyper(74,a,405,a(flip),b,975,a)]. 1259 (x \ y) * (T(y / x,z) \ 1) = T(y / x,z) \ (x \ y). [para(121(a,1),1028(a,1,2)),flip(a)]. 1260 T(x / (y \ x),z) \ ((y \ x) \ x) = ((y \ x) \ x) * (T(y,z) \ 1). [para(62(a,1),1259(a,1,2,1,1)),flip(a)]. 1261 ((x * y) \ y) / (T(x,y) \ 1) = T(x,y) * ((x * y) \ y). [para(119(a,1),1059(a,2,2,1))]. 1262 ((x * y) / x) * (y * z) = y * (((x * y) / x) * z). [para(13(a,1),1091(a,1,1)),flip(a)]. 1263 x \ (((y * x) / y) * z) = ((y * x) / y) * (x \ z). [hyper(551,a,1262,a)]. 1264 ((x * y) / x) * (y \ 1) = y \ ((x * y) / x). [hyper(366,a,1262,a),flip(a)]. 1265 (((x * y) * x) / (x * y)) * y = T(x * y,x). [hyper(359,a,1262,a),flip(a)]. 1266 x * (((y * x) / y) * (x \ z)) = ((y * x) / y) * z. [hyper(307,a,1262,a),flip(a)]. 1267 ((x * y) / x) \ (y * z) = y * (((x * y) / x) \ z). [hyper(72,a,88,a(flip),b,1262,a)]. 1268 x * (((y * x) / y) \ 1) = ((y * x) / y) \ x. [hyper(72,a,56,a(flip),b,1262,a),flip(a)]. 1269 (x \ 1) * ((y * ((x \ 1) \ 1)) / y) = x \ ((y * x) / y). [hyper(236,a,826,a,b,1264,a(flip)),flip(a)]. 1270 ((x * y) * x) / (x * y) = T(x * y,x) / y. [hyper(87,a,1265,a),flip(a)]. 1271 x \ (((y * x) / y) \ x) = ((y * x) / y) \ 1. [hyper(80,a,1268,a)]. 1272 (((x / y) * T(y,z)) / (x / y)) \ T(y,z) = T(y,z) * (T(x / (x / y),z) \ 1). [para(416(a,1),1268(a,1,2,1)),flip(a)]. 1273 T(T(x * y,x) / y,x * y) = x. [para(1270(a,1),162(a,1,1))]. 1274 T(T(x * y,x) / y,y) = R(x,y,T(x,y)). [para(1270(a,1),864(a,1,1))]. 1275 T(T(R(x,y,y \ 1),x * y) / (y \ 1),(x * y) * (y \ 1)) = x * y. [para(189(a,1),1273(a,1,1,1,1))]. 1276 x \ T(y * x,y) = R(y,x,T(y,x)). [hyper(280,a,1274,a)]. 1277 x * R(y,x,T(y,x)) = T(y * x,y). [para(1274(a,1),167(a,1,2))]. 1278 R(x,y,T(x,y)) != z | y \ T(x * y,x) = z. [para(1274(a,1),280(a,1))]. 1279 L(R(x,y,T(x,y)),y,x) = x. [para(1276(a,1),432(a,1,1))]. 1280 ((x * y) / x) * (y \ ((((x * y) / x) \ y) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [hyper(722,a,1263,a),flip(a)]. 1281 T(x,y) = ((x * y) / x) * (y \ x). [hyper(168,a,16,a(flip),b,1266,a)]. 1282 x \ (((y * x) / y) * z) != u | ((y * x) / y) * (x \ z) = u. [para(1266(a,1),283(a,1,2)),flip(b)]. 1283 T((x * y) / x,y \ x) = (y \ x) \ T(x,y). [hyper(394,a,1281,a,b,xx)]. 1284 T(x,y) / (y \ x) = (x * y) / x. [hyper(74,a,1281,a,b,xx)]. 1285 ((x * y) / x) \ T(x,y) = y \ x. [hyper(72,a,1281,a,b,xx)]. 1286 T(x,x / y) / y = (x * (x / y)) / x. [hyper(312,a,1281,a(flip))]. 1287 ((x * (x / y)) / x) * y = T(x,x / y). [para(65(a,1),1281(a,2,2)),flip(a)]. 1290 ((x * R(1 / y,y,x)) / x) * (y * x) = T(x,R(1 / y,y,x)). [para(358(a,1),1281(a,2,2)),flip(a)]. 1291 ((x * R(y,y \ 1,x)) / x) * ((y \ 1) * x) = T(x,R(y,y \ 1,x)). [para(387(a,1),1281(a,2,2)),flip(a)]. 1292 (x \ y) \ K(T(y,x) \ ((y * x) / y),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(1284(a,1),1039(a,1,2,1,2))]. 1293 T(T(x,x / y) / y,x) = x / y. [para(1286(a,2),162(a,1,1))]. 1294 ((x * (x / y)) / x) * y != z | T(x,x / y) = z. [para(1286(a,1),221(a,1,1)),flip(b)]. 1296 x * ((y * (x \ y)) / y) = T(y,y / x). [hyper(916,a,1287,a)]. 1297 x \ T(y,y / x) = (y * (x \ y)) / y. [hyper(72,a,1287,a(flip),b,825,a(flip))]. 1298 (x / y) * ((x * y) / x) = T(x,x / (x / y)). [para(65(a,1),1296(a,1,2,1,2))]. 1299 (x * y) * L((x \ y) / y,y,x) = T(y,y / (x * y)). [para(819(a,2),1296(a,1,2))]. 1300 T(x \ T(y,y / x),y) = x \ y. [para(1297(a,2),162(a,1,1))]. 1301 x * ((y * (x \ y)) / y) != z * u | z \ T(y,y / x) = u. [para(1297(a,1),367(a,1,2))]. 1302 T((x \ y) \ T(y,x),y) = (x \ y) \ y. [para(62(a,1),1300(a,1,1,2,2))]. 1303 T(x,x / (x / T(y,x))) = (x / T(y,x)) * y. [para(163(a,1),1298(a,1,2)),flip(a)]. 1304 T(x,x / (x / T(y,x))) * T(y,x) = x * y. [para(1303(a,2),1143(a,1,1))]. 1305 T(x,x / (x / T(y,x))) * (y * x) = x * (x * y). [para(1304(a,1),999(a,1,2)),flip(a)]. 1306 T(x,x / (x / T(y,x))) = (x * (x * y)) / (y * x). [hyper(87,a,1305,a),flip(a)]. 1307 (x * (x * y)) / (y * x) = (x / T(y,x)) * y. [hyper(236,a,1303,a(flip),b,1306,a(flip))]. 1308 R(((x * (x * y)) / x) / y,y,x) = (x / T(y,x)) * y. [hyper(793,a,1307,a)]. 1309 x * (y * ((x \ y) / y)) = T(y,y / (x * y)). [hyper(219,a,1299,a)]. 1310 T(x,x / (y * x)) != z | y * (x * ((y \ x) / x)) = z. [para(1299(a,1),219(a,1))]. 1311 (x / T(y,x)) * y != z | (x * (x * y)) / (y * x) = z. [para(1308(a,1),563(a,1))]. 1312 (L(1 / x,y,z) * x) * (x \ u) = u * L(u \ (x \ u),y,z). [hyper(816,a,1114,a),flip(a)]. 1313 ((x * (x * y)) / x) / y = T(x,x / (1 / y)). [hyper(1294,a,1128,a),flip(a)]. 1314 ((x * (1 / (1 / y))) / x) * (1 / y) = ((x * y) / x) / y. [para(11(a,1),1128(a,2,1,1,2))]. 1315 T(x,x / (1 / (x \ y))) = ((x * y) / x) / (x \ y). [para(14(a,1),1313(a,1,1,1,2)),flip(a)]. 1316 R(T(x,x / (1 / y)),y,x) = (x / T(y,x)) * y. [para(1313(a,1),1308(a,1,1))]. 1317 (1 / x) * ((y * ((1 / x) \ 1)) / y) = ((y * x) / y) / x. [hyper(916,a,1314,a)]. 1318 (1 / x) * ((y * x) / y) = ((y * x) / y) / x. [para(65(a,1),1317(a,1,2,1,2))]. 1319 ((x * (y \ 1)) / x) / (y \ 1) = y * ((x * (y \ 1)) / x). [hyper(290,a,1318,a),flip(a)]. 1320 (x * y) * T((x * y) \ (z * y),u) = (x * T(x \ z,u)) * y. [para(405(a,1),1139(a,2,1))]. 1321 (x * ((y * z) / y)) * z = (x * z) * ((y * z) / y). [para(13(a,1),1184(a,1,1,2)),flip(a)]. 1323 (1 / ((x * y) / x)) * y = y / ((x * y) / x). [hyper(373,a,1321,a),flip(a)]. 1324 ((x / y) * y) * ((x * y) / x) = T(x,x / (x / y)) * y. [para(1298(a,1),1321(a,1,1)),flip(a)]. 1325 (x / ((y * x) / y)) / x = 1 / ((y * x) / y). [hyper(87,a,1323,a)]. 1326 T(x,x / (x / y)) * y = x * ((x * y) / x). [hyper(303,a,1324,a),flip(a)]. 1327 T(x,x / (x / y)) * (x \ y) = (x * y) / x. [hyper(1017,a,1326,a)]. 1329 ((x * y) / x) / (x \ y) = T(x,x / (x / y)). [hyper(87,a,1327,a)]. 1332 T(x,x / (1 / (x \ y))) = T(x,x / (x / y)). [hyper(236,a,1315,a,b,1329,a(flip)),flip(a)]. 1333 T(x,x / (x / (x * y))) = T(x,x / (1 / y)). [para(13(a,1),1332(a,1,2,2,2)),flip(a)]. 1334 T(L(x,y,z),u) * (x \ 1) = x \ T(L(x,y,z),u). [para(14(a,1),1217(a,1,2,1)),flip(a)]. 1336 T(L(x,y,z),u) * (x \ 1) = x \ L(T(x,u),y,z). [para(40(a,2),1334(a,2,2))]. 1337 L(T(x,y),z,u) * (x \ 1) = x \ L(T(x,y),z,u). [para(40(a,2),1336(a,1,1))]. 1338 (x \ y) * T((x \ y) \ (x \ z),u) = x \ (y * T(y \ z,u)). [para(14(a,1),1234(a,1,2,2,1,2)),flip(a)]. 1339 (x * T(x \ (y * z),u)) / z = (x / z) * T((x / z) \ y,u). [hyper(236,a,405,a(flip),b,1258,a)]. 1340 (((x * (1 / y)) / x) * y) * x = T(x,R(1 / y,y,x)). [hyper(236,a,841,a(flip),b,1290,a(flip)),flip(a)]. 1341 (x * ((y * (x \ 1)) / y)) * y = T(y,R(1 / x,x,y)). [para(825(a,1),1340(a,1,1))]. 1342 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,R(1 / T(x,y),T(x,y),x)). [para(1004(a,1),1341(a,1,1,2,1))]. 1343 (x * L(x \ 1,y,z)) * (x \ u) = u * L(u \ (x \ u),y,z). [para(610(a,1),1312(a,1,1))]. 1344 x * (y * T(y \ (x \ (z * y)),u)) = (x * T(x \ z,u)) * y. [hyper(236,a,857,a(flip),b,1320,a(flip)),flip(a)]. 1345 ((x * y) * T((x * y) \ x,z)) * y = (x * y) * (y * T(y \ 1,z)). [hyper(236,a,703,a(flip),b,1320,a(flip))]. 1346 x * T(x \ (x \ (y * x)),z) = T(x * T(x \ y,z),x). [hyper(168,a,1320,a(flip),b,857,a(flip)),flip(a)]. 1347 (x * y) * T((x * y) \ y,z) = (x * T(x \ 1,z)) * y. [para(11(a,1),1320(a,1,2,1,2))]. 1349 T(x * T(x \ y,z),x) = x * T(x \ T(y,x),z). [para(32(a,2),1346(a,1,2,1,2)),flip(a)]. 1350 T(x * T(x \ y,x),x) = (x \ T(y,x)) * x. [hyper(236,a,119,a(flip),b,1349,a)]. 1351 x \ T(x * T(x \ y,z),x) = T(x \ T(y,x),z). [hyper(72,a,1349,a,b,xx)]. 1352 T((x \ y) * x,x) = (x \ T(y,x)) * x. [para(119(a,1),1350(a,1,1))]. 1353 x * (T((x \ y) * x,x) / x) = T(y,x). [para(1352(a,2),61(a,1,2,1))]. 1354 x * (T(y * x,x) / x) = T(x * y,x). [para(13(a,1),1353(a,1,2,1,1,1))]. 1355 T(x * (y / x),x) = x * (T(y,x) / x). [para(66(a,1),1353(a,1,2,1,1)),flip(a)]. 1356 T(x * y,y) / y = y \ T(y * x,y). [hyper(80,a,1354,a),flip(a)]. 1357 x \ T(x * (y / x),x) = T(y,x) / x. [hyper(72,a,1355,a,b,xx)]. 1358 x \ T(x * T((x * y) / x,z),x) = T(x * T(y,z),x) / x. [para(406(a,1),1356(a,1,1,1)),flip(a)]. 1359 x \ T(x * T(y,z),x) = T(x \ T(x * y,x),z). [para(13(a,1),1351(a,1,2,1,2,1))]. 1360 x \ T(x * T(y / x,z),x) = T(T(y,x) / x,z). [para(1357(a,1),1359(a,2,1))]. 1361 T(x * T(y / x,z),x) = x * T(T(y,x) / x,z). [para(1360(a,1),14(a,1,2)),flip(a)]. 1362 T(x * T(1 / x,y),x) = x * T(1 / x,y). [para(147(a,1),1361(a,2,2,1,1))]. 1363 x \ T(x * T(y / x,z),x) != u | T(T(y,x) / x,z) = u. [para(1361(a,2),283(a,1,2)),flip(b)]. 1364 x * (y * T(y \ (x \ y),z)) = (x * T(x \ 1,z)) * y. [hyper(236,a,857,a(flip),b,1347,a(flip)),flip(a)]. 1365 T(x,x * T(x \ 1,y)) = x. [hyper(168,a,703,a(flip),b,1347,a(flip))]. 1366 T(x,(x \ 1) * x) = x. [para(119(a,1),1365(a,1,2))]. 1367 T(x,K(x \ 1,x)) = x. [para(272(a,1),1365(a,1,2))]. 1368 R(x,(x * T(x \ 1,y)) / x,x) = T(x,(x * T(x \ 1,y)) / x). [para(1365(a,1),763(a,1,1))]. 1369 T(x \ 1,T(x,y) * (x \ 1)) = x \ 1. [para(407(a,1),1365(a,1,2))]. 1370 T(x \ 1,x \ T(x,y)) = x \ 1. [para(927(a,1),1365(a,1,2))]. 1371 R(x,x \ 1,x) = T(x,x \ 1). [para(1366(a,1),760(a,1,1))]. 1372 R(x,x \ 1,x) != y | (x \ 1) \ 1 = y. [para(1371(a,2),375(a,1))]. 1373 T(x \ T(x,y),x \ 1) = x \ T(x,y). [hyper(35,a,1370,a)]. 1374 (x \ T(x,y)) * (x \ 1) = (x \ 1) * (x \ T(x,y)). [para(1370(a,1),119(a,1,2))]. 1375 R(x \ 1,T(x,y),x \ 1) = T(x \ 1,T(x,y)). [para(1369(a,1),760(a,1,1))]. 1376 x / K(x \ 1,x) = (x \ 1) \ 1. [hyper(1372,a,500,a(flip)),flip(a)]. 1377 ((x \ 1) \ 1) * K(x \ 1,x) = x. [para(1376(a,1),16(a,1,1))]. 1378 ((x \ 1) \ 1) \ x != y | K(x \ 1,x) = y. [para(1376(a,1),282(a,1,1)),flip(b)]. 1379 T((x * y) \ (y * x),y \ 1) = L(y \ T(y,x),y,x). [para(1373(a,1),715(a,1,1)),flip(a)]. 1381 K(x,y) = T((y * x) \ (x * y),x \ 1). [hyper(236,a,714,a,b,1379,a),flip(a)]. 1382 T(K(x,y),x \ 1) = K(x,y). [para(26(a,2),1381(a,2,1)),flip(a)]. 1383 T(x \ 1,K(x,y)) = x \ 1. [hyper(35,a,1382,a)]. 1384 K(x,y) * (x \ 1) = (x \ 1) * K(x,y). [para(1382(a,1),119(a,1,2)),flip(a)]. 1385 (x \ 1) * K(x,y) != z | K(x,y) * (x \ 1) = z. [para(1382(a,1),220(a,1,2))]. 1386 T(x,K(x \ 1,y)) * (x \ 1) = (x \ 1) * ((x \ 1) \ 1). [para(1383(a,1),407(a,1,2)),flip(a)]. 1387 K(x \ 1,x) * ((x \ 1) \ 1) = x. [hyper(236,a,1377,a(flip),b,1384,a)]. 1388 (x * ((y \ (x \ y)) * y)) / y = x * T(x \ 1,y). [hyper(590,a,1364,a)]. 1389 (x * ((x \ 1) * R(x,y,z))) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(1072(a,1),1388(a,1,1,2,1))]. 1390 T(x,K(x \ 1,y)) * (x \ 1) = 1. [hyper(236,a,14,a(flip),b,1386,a)]. 1392 T(x,K(x \ 1,y)) = x. [hyper(86,a,1390,a)]. 1393 T(1 / x,K(x,y)) = 1 / x. [para(65(a,1),1392(a,1,2,1))]. 1394 T(K(x,y),1 / x) = K(x,y). [hyper(35,a,1393,a)]. 1395 T((1 * x) / y,K(y / x,z)) = R(1 / (y / x),y / x,x). [para(1393(a,1),735(a,1,1)),flip(a)]. 1396 T((1 * x) / y,K(y / x,z)) = x / y. [hyper(236,a,355,a(flip),b,1395,a)]. 1397 T(x / y,K(y / x,z)) = x / y. [para(11(a,1),1396(a,1,1,1))]. 1398 T(x \ y,K(x / y,z)) = T(y / x,x). [para(1397(a,1),183(a,1,1)),flip(a)]. 1399 T(x \ y,K(x / y,z)) = x \ y. [hyper(236,a,121,a(flip),b,1398,a)]. 1400 T(x,y) * T((y \ (x * y)) \ (y \ z),u) = y \ ((x * y) * T((x * y) \ z,u)). [para(32(a,2),1338(a,1,1))]. 1401 (x / y) * T((x / y) \ 1,z) = (x * T(x \ y,z)) / y. [para(11(a,1),1339(a,1,1,2,1,2)),flip(a)]. 1402 ((x / y) * T((x / y) \ z,u)) * y = x * T(x \ (z * y),u). [para(1339(a,1),16(a,1,1))]. 1403 (x / y) * T((x / y) \ z,x) = ((x \ (z * y)) * x) / y. [para(119(a,1),1339(a,1,1)),flip(a)]. 1404 (x * (y * T(y \ (x \ (z * u)),w))) / u = ((x * y) / u) * T(((x * y) / u) \ z,w). [para(857(a,1),1339(a,1,1))]. 1405 ((x * T(y,z)) / T(y,z)) * T(((x * T(y,z)) / T(y,z)) \ (x * y),u) = ((x * T(y,z)) * T(y,u)) / T(y,z). [para(1147(a,1),1339(a,1,1,2,1)),flip(a)]. 1406 K(x \ (x / (y / z)),x) = (y * T(y \ z,x)) / z. [hyper(1041,a,1401,a)]. 1407 ((x / y) * T((x / y) \ 1,z)) * y = x * T(x \ y,z). [para(1401(a,2),16(a,1,1))]. 1408 K((x * (y / z)) \ x,x * (y / z)) = (y * T(y \ z,x * (y / z))) / z. [para(15(a,1),1406(a,1,1,2))]. 1409 K(x \ (x / R(y,z,u)),x) = (((y * z) * u) * T(((y * z) * u) \ (z * u),x)) / (z * u). [para(30(a,2),1406(a,1,1,2,2))]. 1410 K((x / y) \ 1,x / y) * y = x * T(x \ y,x / y). [para(272(a,1),1407(a,1,1))]. 1411 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,x / (y * x)) * x. [hyper(236,a,403,a(flip),b,1410,a)]. 1412 T((1 / x) * ((1 / x) \ (y * x)),z) / x = (1 / x) * T((1 / x) \ y,z). [hyper(74,a,881,a(flip),b,1344,a(flip))]. 1413 x * ((y \ z) * T((y \ z) \ (x \ z),u)) = (x * T(x \ y,u)) * (y \ z). [para(14(a,1),1344(a,1,2,2,1,2,2))]. 1414 (x * T(x \ (y / z),u)) * z = x * (z * T(z \ (x \ y),u)). [para(16(a,1),1344(a,1,2,2,1,2,2)),flip(a)]. 1415 ((x * y) * T((x * y) \ x,z)) * u = (x * y) * (u * T(u \ L(y \ u,y,x),z)). [para(105(a,2),1344(a,1,2,2,1,2)),flip(a)]. 1416 T(x * T(y,z),x) / x = T(T(x * y,x) / x,z). [hyper(1363,a,1358,a),flip(a)]. 1417 (((x / y) \ z) * (x / y)) * y = x * T(x \ (z * y),x / y). [para(119(a,1),1402(a,1,1))]. 1419 x * (y * T(y \ (x \ z),x)) = ((x \ (z / y)) * x) * y. [para(119(a,1),1414(a,1,1)),flip(a)]. 1420 x \ (y * (x * T(x \ (y \ z),u))) != w | T(y * T(y \ (z / x),u),x) = w. [para(1414(a,1),284(a,1,2))]. 1421 (x \ 1) * (y * T(y \ ((x \ 1) \ z),u)) = (x \ T(x * (z / y),u)) * y. [para(877(a,1),1414(a,1,1)),flip(a)]. 1422 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ (x \ x),y)). [para(1038(a,2),1414(a,1,1))]. 1423 ((x \ (x / y)) * x) * y = x * (y * T(y \ 1,x)). [para(52(a,1),1419(a,1,2,2,1,2)),flip(a)]. 1424 ((x \ (y / (z \ 1))) * x) * (z \ 1) = x * (z \ T(z * (x \ y),x)). [para(877(a,1),1419(a,1,2)),flip(a)]. 1425 ((x \ (y / y)) * x) * y = x * (K(x \ 1,x) * (x \ y)). [para(1106(a,2),1419(a,1,2)),flip(a)]. 1426 x * ((y \ x) * T((y \ x) \ 1,x)) = ((x \ y) * x) * (y \ x). [para(62(a,1),1423(a,1,1,1,2)),flip(a)]. 1427 x * (K(x \ 1,x) * (x \ y)) = ((x \ 1) * x) * y. [para(59(a,1),1425(a,1,1,1,2)),flip(a)]. 1429 x * (K(x \ 1,x) * (x \ y)) = K(x \ 1,x) * y. [para(187(a,2),1427(a,2,1))]. 1430 K(x \ 1,x) * (x * y) = x * (K(x \ 1,x) * y). [para(13(a,1),1429(a,1,2,2)),flip(a)]. 1431 ((x / y) * K(y \ 1,y)) * y = x * (y * T(y \ 1,y)). [para(52(a,1),1422(a,2,2,2,1,2))]. 1433 ((x / y) * K(y \ 1,y)) * y = x * K(y \ 1,y). [para(272(a,1),1431(a,2,2))]. 1434 (1 / x) * K(x \ 1,x) = x \ 1. [hyper(18,a,249,a(flip),b,1433,a)]. 1435 (x * K(y \ 1,y)) * y = (x * y) * K(y \ 1,y). [para(15(a,1),1433(a,1,1,1))]. 1436 (L(1 / x,x,y) * K(x \ 1,x)) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(800(a,1),1433(a,1,1,1))]. 1437 (1 / x) \ (x \ 1) = K(x \ 1,x). [hyper(80,a,1434,a)]. 1438 K(x \ 1,x) * y != x \ 1 | T(1 / x,K(x \ 1,x)) = y. [para(1434(a,1),169(a,2))]. 1439 (x \ 1) * L(y,K(x \ 1,x),1 / x) = (1 / x) * (K(x \ 1,x) * y). [para(1434(a,1),103(a,1,1))]. 1440 (x * (1 / y)) * K(y \ 1,y) != z * (y \ 1) | R(x,1 / y,K(y \ 1,y)) = z. [para(1434(a,1),467(a,2,2))]. 1441 x / L(K(y \ 1,y),1 / y,x / (y \ 1)) = (x / (y \ 1)) * (1 / y). [para(1437(a,1),459(a,1,2,1))]. 1443 ((x \ y) * x) * (y \ x) = x * (y \ ((x \ y) * x)). [para(1238(a,1),1426(a,1,2)),flip(a)]. 1444 ((x \ y) * x) * (y \ x) = x * K(x \ y,x). [para(96(a,1),1443(a,2,2))]. 1445 (x * y) * ((y * x) \ y) = y * K(y \ (y * x),y). [para(13(a,1),1444(a,1,1,1))]. 1446 (x * y) * ((y * x) \ y) = y * K(x,y). [para(13(a,1),1445(a,2,2,1))]. 1447 x \ (y * K(x / y,y)) = (y * (x / y)) \ y. [hyper(246,a,1446,a)]. 1448 (x * y) * L(x \ 1,x,y) = y * K(x,y). [hyper(236,a,348,a,b,1446,a(flip)),flip(a)]. 1450 (L(x,y,z) * (z * y)) \ (x * (z * y)) = a(z,y,T(x,z * y)). [para(606(a,1),175(a,1,1))]. 1451 (L(x,y \ z,y) * z) \ (x * (y * (y \ z))) = a(y,y \ z,T(x,y * (y \ z))). [para(14(a,1),1450(a,1,1,2))]. 1453 (x * y) * T((x * y) \ z,x) != u | ((x \ (z / y)) * x) * y = u. [para(405(a,1),778(a,1))]. 1454 x * ((x \ y) * ((z * ((x \ y) \ u)) / z)) = y * ((z * (y \ (x * u))) / z). [para(838(a,1),433(a,1,2)),flip(a)]. 1455 (x * y) * L((x * y) \ (y * z),u,w) = y * (T(x,y) * L(T(x,y) \ z,u,w)). [para(457(a,1),860(a,1,2,1))]. 1456 ((x \ y) * (y \ x)) \ (y \ x) = (x \ y) \ 1. [para(347(a,1),1062(a,1,2))]. 1457 (x \ y) / ((y \ x) \ 1) = (y \ x) * (x \ y). [para(1456(a,1),62(a,1,2))]. 1458 (x \ y) / ((y \ x) \ 1) != z | (y \ x) * (x \ y) = z. [para(1456(a,1),294(a,1,2)),flip(b)]. 1459 (1 / (x \ y)) \ (y \ x) = (y \ x) * (x \ y). [para(347(a,1),1066(a,1,1)),flip(a)]. 1460 (x \ (x * y)) * ((x * y) \ x) = (1 / ((x * y) \ x)) \ y. [para(13(a,1),1459(a,1,2)),flip(a)]. 1461 (1 / (x \ y)) * ((y \ x) * (x \ y)) = y \ x. [para(1459(a,1),14(a,1,2))]. 1462 T(1 / (x \ y),(y \ x) * (x \ y)) = ((y \ x) * (x \ y)) \ (y \ x). [hyper(394,a,xx,b,1461,a)]. 1463 (1 / ((x * y) \ x)) \ y = y * ((x * y) \ x). [para(13(a,1),1460(a,1,1)),flip(a)]. 1464 (1 / ((x * y) \ x)) * (y * ((x * y) \ x)) = y. [para(1463(a,1),14(a,1,2))]. 1465 (1 / (x / y)) \ (y / x) = (y / x) * (x / y). [hyper(236,a,749,a(flip),b,1083,a(flip))]. 1466 (x / (y \ x)) * ((y \ x) / x) = (1 / ((y \ x) / x)) \ y. [para(62(a,1),1465(a,1,2)),flip(a)]. 1467 (1 / ((x \ y) / y)) \ x = x * ((x \ y) / y). [hyper(290,a,1466,a),flip(a)]. 1469 (1 / ((x \ y) / y)) * (x * ((x \ y) / y)) = x. [para(1467(a,1),14(a,1,2))]. 1470 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = (x * ((x \ y) / y)) \ x. [hyper(394,a,xx,b,1469,a)]. 1471 T((x * y) / x,L(y,z,u) * x) = L(y,x,L(y,z,u)). [para(15(a,1),1232(a,2,1))]. 1472 x * T(y,L(y,z,u) * x) = L(y,x,L(y,z,u)) * x. [para(1471(a,1),406(a,1,1)),flip(a)]. 1473 L(T(x,y),y,L(x,z,u)) = T(x,L(x,z,u) * y). [hyper(17,a,181,a,b,1472,a),flip(a)]. 1474 T(x,(x * T(x \ 1,y)) / x) = R(x,T(1 / x,y),x). [para(408(a,1),1368(a,1,2)),flip(a)]. 1475 R(x,T(1 / x,y),x) = T(x,T(1 / x,y)). [para(408(a,1),1474(a,1,2)),flip(a)]. 1476 R(R(x,y,z),T(1 / x,u),x) = R(T(x,T(1 / x,u)),y,z). [para(1475(a,1),46(a,1,1)),flip(a)]. 1477 K(x \ 1,x) * R(((x \ 1) * x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(187(a,2),954(a,1,1))]. 1478 ((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(113(a,1),981(a,1,2))]. 1479 T(1 / x,(y / (x * y)) * x) != z | L(x \ 1,x,y / (x * y)) = z. [para(1088(a,1),383(a,1))]. 1480 (1 / x) * L((1 / x) \ y,z,u) = L(y * x,z,u) / x. [para(65(a,1),1101(a,1,2)),flip(a)]. 1481 (1 / x) * L((1 / x) \ 1,y,z) = L(x,y,z) / x. [para(11(a,1),1480(a,2,1,1))]. 1482 (1 / x) * L(x,y,z) = L(x,y,z) / x. [para(65(a,1),1481(a,1,2,1))]. 1483 (L(x,y,z) / x) / L(x,y,z) = 1 / x. [hyper(87,a,1482,a)]. 1484 L(L(x,y,z) \ u,L(x,y,z),1 / x) = (L(x,y,z) / x) \ ((1 / x) * u). [para(1482(a,1),105(a,2,1))]. 1485 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(1482(a,1),663(a,1,2))]. 1486 x \ (y * L(y \ (x * z),u,w)) = (x \ y) * L((x \ y) \ z,u,w). [hyper(80,a,1115,a)]. 1487 x \ (y * R(y \ (x * z),u,w)) = (x \ y) * R((x \ y) \ z,u,w). [hyper(80,a,1116,a)]. 1488 x * R(x \ (y * x),z,u) = y * (R(y,z,u) * (y \ x)). [para(621(a,1),1116(a,1,2)),flip(a)]. 1489 x * R(T(y,x),z,u) = y * (R(y,z,u) * (y \ x)). [para(32(a,2),1488(a,1,2,1))]. 1490 (R(x,y,z) * u) / (R(x,y,z) * (x \ u)) = x. [hyper(624,a,1489,a)]. 1491 x \ (R(x,y,z) * u) = R(x,y,z) * (x \ u). [hyper(623,a,1489,a)]. 1492 x * (R(x,y,z) * (x \ u)) = R(x,y,z) * u. [hyper(370,a,1489,a),flip(a)]. 1493 (R(x,y,z) * (x \ u)) \ (R(x,y,z) * u) = T(x,R(x,y,z) * (x \ u)). [hyper(394,a,182,a(flip),b,1489,a(flip)),flip(a)]. 1494 R(x,y,y \ z) * (x \ z) = x \ ((x * y) * (y \ z)). [hyper(72,a,699,a(flip),b,1489,a(flip)),flip(a)]. 1496 x \ (R(x,y,z) * u) != w | R(x,y,z) * (x \ u) = w. [para(1490(a,1),282(a,1,1)),flip(b)]. 1497 R(x,y,z) * (x * u) = x * (R(x,y,z) * u). [para(13(a,1),1492(a,1,2,2)),flip(a)]. 1498 x * (R(x,y,z) * T(u,x)) = R(x,y,z) * (u * x). [para(32(a,2),1492(a,1,2,2))]. 1500 R(x,y,z) \ (x * (R(x,y,z) * u)) = x * u. [hyper(80,a,1497,a)]. 1501 (x * y) / (x * (R(x,z,u) \ y)) = R(x,z,u). [hyper(74,a,88,a(flip),b,1497,a)]. 1502 x * (R(x,y,z) \ T(u,x)) = R(x,y,z) \ (u * x). [hyper(72,a,166,a(flip),b,1497,a),flip(a)]. 1503 R(x,y,z) \ (x * u) = x * (R(x,y,z) \ u). [hyper(72,a,88,a(flip),b,1497,a)]. 1504 x * (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(72,a,56,a(flip),b,1497,a),flip(a)]. 1506 (R(x,y,z) \ 1) * T(x,R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(222,a,1504,a)]. 1507 R(x,y,(x * y) \ x) \ 1 = x \ (y * ((x * y) \ x)). [hyper(72,a,277,a(flip),b,1504,a),flip(a)]. 1508 L(R(x,y,z) \ 1,x,1 / x) = (1 / x) * (R(x,y,z) \ x). [para(1504(a,1),430(a,1,2)),flip(a)]. 1510 R(x,y,z) \ (x * u) != w | x * (R(x,y,z) \ u) = w. [para(1501(a,1),282(a,1,1)),flip(b)]. 1511 (x / y) * (R(x / y,y,y \ 1) \ z) = (x * (y \ 1)) \ ((x / y) * z). [para(482(a,1),1503(a,1,1)),flip(a)]. 1512 R(x,y,x) * T(y,x) = T(x * y,x). [hyper(168,a,113,a(flip),b,1498,a),flip(a)]. 1513 R(x,y,x) \ T(x * y,x) = T(y,x). [hyper(80,a,1512,a)]. 1514 T(x,T(1 / x,y)) * T(T(1 / x,y),x) = T(x * T(1 / x,y),x). [para(1475(a,1),1512(a,1,1))]. 1515 x \ ((x * (x \ y)) * ((x \ y) \ z)) = ((y * ((x \ y) \ z)) / z) * (x \ z). [para(684(a,1),1494(a,1,1)),flip(a)]. 1516 (R(1 / (x / y),z,u) * (x / y)) * y = R(y / x,z,u) * x. [para(11(a,1),1117(a,2,1,1,1))]. 1517 (R(1 / (x / y),z,u) * (x / y)) * y = x * R(x \ y,z,u). [hyper(236,a,618,a(flip),b,1516,a)]. 1518 ((x / y) * R((x / y) \ 1,z,u)) * y = x * R(x \ y,z,u). [para(618(a,1),1517(a,1,1))]. 1519 (x / y) * R((x / y) \ 1,z,u) = (x * R(x \ y,z,u)) / y. [hyper(87,a,1518,a),flip(a)]. 1520 (((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),1519(a,1,1)),flip(a)]. 1521 (((x * (y * z)) / (x * y)) * x) * y = x * (y * R(z,x,y)). [hyper(236,a,443,a(flip),b,1121,a)]. 1522 (((x * (y * z)) / (x * z)) * x) * z = x * (z * R(T(y,z),x,z)). [para(119(a,1),1521(a,1,1,1,1,2))]. 1523 (((x * (y * z)) / (x * z)) * x) * z = x * (R(y,x,z) * z). [para(182(a,1),1522(a,2,2))]. 1524 x \ T(x,x / (x * y)) = y * ((x * (y \ 1)) / x). [hyper(1301,a,1122,a)]. 1525 x * (y * ((x * (y \ 1)) / x)) = T(x,x / (x * y)). [hyper(236,a,1296,a(flip),b,1122,a(flip))]. 1526 (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(103(a,1),1122(a,1,1))]. 1527 (x * ((y * (x \ 1)) / y)) / (y \ 1) = T(y,y / (y * x)). [hyper(74,a,1524,a(flip),b,930,a)]. 1529 T(x,R(1 / y,y,x)) = (x \ T(x,x / (x * y))) * x. [para(1524(a,2),1341(a,1,1)),flip(a)]. 1530 (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(1071(a,1),1527(a,1,1,2,1))]. 1531 (x / y) \ (x * ((z * (x \ (x / y))) / z)) = y * ((z * (y \ 1)) / z). [hyper(80,a,1126,a)]. 1532 ((x * (1 / (1 / T(y,x)))) / x) \ (y / T(y,x)) = 1 / T(y,x). [para(1142(a,1),1198(a,1,2))]. 1533 ((x \ y) \ y) * (T(x,z) \ 1) = T(x,z) \ ((x \ y) \ y). [para(62(a,1),1260(a,1,1,1)),flip(a)]. 1534 (((x * y) / x) * (y \ 1)) * x = T(x,R(y,y \ 1,x)). [hyper(845,a,1291,a)]. 1535 (x \ ((y * x) / y)) * y = T(y,R(x,x \ 1,y)). [para(1264(a,1),1534(a,1,1))]. 1537 T(x,R(T(y,x),T(y,x) \ 1,x)) = (T(y,x) \ y) * x. [para(163(a,1),1535(a,1,1,2)),flip(a)]. 1539 (x * (y * T(y \ 1,z))) * y = (x * y) * (y * T(y \ 1,z)). [para(703(a,1),1345(a,1,1))]. 1540 (x \ y) * L((x \ y) \ 1,z,u) = x \ (y * L(y \ x,z,u)). [para(12(a,1),1486(a,1,2,2,1,2)),flip(a)]. 1541 (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),1540(a,1,1)),flip(a)]. 1542 (x \ y) * R((x \ y) \ 1,z,u) = x \ (y * R(y \ x,z,u)). [para(12(a,1),1487(a,1,2,2,1,2)),flip(a)]. 1543 T(x,T(1 / x,y)) * T(x \ 1,y) = T(x * T(1 / x,y),x). [para(183(a,1),1514(a,1,2))]. 1544 T(x,T(1 / x,y)) * T(x \ 1,y) = x * T(1 / x,y). [hyper(236,a,1362,a(flip),b,1543,a)]. 1545 (x / y) \ (x * ((x / y) / x)) = y * ((x * (y \ 1)) / x). [para(14(a,1),1531(a,1,2,2,1))]. 1546 K(x,(x / y) / x) = y * ((x * (y \ 1)) / x). [hyper(423,a,1545,a)]. 1547 x * ((y * (x \ 1)) / y) != z | K(y,(y / x) / y) = z. [para(1545(a,1),423(a,1))]. 1548 K(x,(x / (y \ 1)) / x) = y \ ((x * y) / x). [hyper(236,a,1269,a(flip),b,1546,a)]. 1549 (x \ y) * ((y * ((x \ y) \ 1)) / y) = K(y,x / y). [para(62(a,1),1546(a,1,2,1)),flip(a)]. 1550 x * ((T(x,y) * (x \ 1)) / T(x,y)) = K(T(x,y),1 / x). [para(1158(a,1),1546(a,1,2)),flip(a)]. 1551 ((x * y) / x) * ((y * (((x * y) / x) \ 1)) / y) = K(y,1 / ((x * y) / x)). [para(1325(a,1),1546(a,1,2)),flip(a)]. 1552 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = K(L(x,y,z),1 / x). [para(1483(a,1),1546(a,1,2)),flip(a)]. 1553 x * K(x,(x / y) / x) = T(x,x / (x * y)). [para(1546(a,2),1525(a,1,2))]. 1554 x * K(y,(y / (x \ 1)) / y) = (y * x) / y. [para(1548(a,2),14(a,1,2))]. 1555 K(x,(x / ((T(x,y) \ 1) \ 1)) / x) = (T(x,y) \ 1) \ ((T(x,y) \ x) / x). [para(1004(a,1),1548(a,2,2,1))]. 1556 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(1071(a,1),1548(a,2,2,1))]. 1557 T(x,x / (x * (y \ x))) = x * K(x,y / x). [para(62(a,1),1553(a,1,2,2,1)),flip(a)]. 1558 T(x,R(y,x,(y * x) \ x)) = x * K(x,(y * x) / x). [para(111(a,2),1557(a,1,2))]. 1559 T(x,R(y,x,(y * x) \ x)) = x * K(x,y). [para(15(a,1),1558(a,2,2,2))]. 1560 T(x,R(y,x,(y * x) \ x)) * (x \ z) = x \ ((x * K(x,y)) * z). [para(1559(a,1),997(a,1,2,1)),flip(a)]. 1561 x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)) = K(T(x,y),1 / x). [para(407(a,2),1550(a,1,2,1))]. 1562 x \ ((x * K(x,y)) * z) = (x * K(x,y)) * (x \ z). [para(1559(a,1),1560(a,1,1)),flip(a)]. 1563 (x * K(x,y)) * (x \ 1) = x \ (x * K(x,y)). [para(12(a,1),1562(a,1,2)),flip(a)]. 1564 K(x,y) / (x \ 1) = x * K(x,y). [hyper(74,a,13,a(flip),b,1563,a)]. 1565 (x * (y * z)) \ ((x * y) * R(L(z,y,x),u,u \ 1)) = L(a(L(z,y,x),u,u \ 1),L(z,y,x),x * y). [para(689(a,1),439(a,1,2,2))]. 1566 a(x,y,z) = L(L(z,y,x) \ z,L(z,y,x),x * y). [hyper(236,a,24,a,b,460,a),flip(a)]. 1567 a(x \ y,T(x,x \ y),z) = a(x \ y,(x \ y) \ y,z). [hyper(236,a,92,a(flip),b,847,a)]. 1568 ((x * (y * (z \ 1))) / x) / (z \ 1) = z * ((x * (z \ y)) / x). [para(844(a,1),914(a,1,1))]. 1569 (x \ 1) * ((y * ((x \ 1) \ K(x \ 1,x))) / y) = ((y * x) / y) / ((x \ 1) \ 1). [para(1387(a,1),1568(a,1,1,1,2)),flip(a)]. 1570 T(T(R(x,y,y \ 1),x * y) / (y \ 1),R(x,y,y \ 1)) = x * y. [para(189(a,1),1275(a,1,2))]. 1571 T(R(T(x,x * y),y,y \ 1) / (y \ 1),R(x,y,y \ 1)) = x * y. [para(42(a,2),1570(a,1,1,1))]. 1572 T(T(x,x * y) * y,R(x,y,y \ 1)) = x * y. [para(395(a,1),1571(a,1,1))]. 1573 T(T(T(x,x * y) * y,z),R(x,y,y \ 1)) = T(x * y,z). [para(1572(a,1),38(a,1,1)),flip(a)]. 1574 T(x * y,R(x,y,y \ 1)) = T(x * y,T(x,y)). [para(922(a,1),1573(a,1,1))]. 1575 T((x / y) * y,T(x / y,y)) = T(x,R(x / y,y,y \ 1)). [para(16(a,1),1574(a,1,1)),flip(a)]. 1576 T((x / y) * y,T(x / y,y)) = T(x,x * (y \ 1)). [para(482(a,1),1575(a,2,2))]. 1577 T(x,T(x / y,y)) = T(x,x * (y \ 1)). [para(16(a,1),1576(a,1,1))]. 1578 T(x,x * (y \ 1)) = T(x,y \ x). [para(121(a,1),1577(a,1,2)),flip(a)]. 1579 T(x,(1 / y) \ x) = T(x,x * y). [para(65(a,1),1578(a,1,2,2)),flip(a)]. 1580 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,(1 * x) / (x * T(x,y))). [para(488(a,1),1342(a,2,2))]. 1581 (T(x,y) * ((T(x,y) \ x) / x)) * x = T(x,x / (x * T(x,y))). [para(11(a,1),1580(a,2,2,1))]. 1582 L(R(x,y,z),x \ 1,x) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(188(a,1),1389(a,1,1))]. 1583 (x * (y \ 1)) \ ((x / y) * z) = (x / y) * ((x * (y \ 1)) \ z). [para(482(a,1),1511(a,1,2,1)),flip(a)]. 1584 T(x,y) * T(T(x,y) \ y,z) = T(x * T(x \ y,z),y). [hyper(168,a,1320,a(flip),b,1129,a(flip)),flip(a)]. 1585 (x * y) * T((x * y) \ (y * x),x) = y * L(x,T(x,y) \ x,T(x,y)). [para(1026(a,1),1129(a,2,2))]. 1586 x * L(y,T(y,x) \ y,T(y,x)) = (y * x) * T(K(x,y),y). [para(26(a,2),1585(a,1,2,1)),flip(a)]. 1587 (x \ y) \ K(T(x / y,T(y,x)),T(y,x)) = T((x \ y) \ 1,T(y,x)). [para(1168(a,1),1292(a,1,2,1))]. 1588 (x \ y) * T((x \ y) \ 1,T(y,x)) = K(T(x / y,T(y,x)),T(y,x)). [para(1587(a,1),14(a,1,2))]. 1589 K(T(x / y,T(y,x)),T(y,x)) = x \ (y * T(y \ x,T(y,x))). [hyper(236,a,1246,a(flip),b,1588,a(flip))]. 1590 (1 / x) * T((1 / x) \ y,z) = T(y * x,z) / x. [para(14(a,1),1412(a,1,1,1)),flip(a)]. 1591 (1 / x) * T((1 / x) \ 1,y) = T(x,y) / x. [para(55(a,1),1412(a,1,1,1)),flip(a)]. 1592 K(x \ (x / (1 / y)),x) = T(y,x) / y. [hyper(1041,a,1591,a)]. 1593 T(1 / (1 / x),y) * (1 / x) = T(x,y) / x. [hyper(409,a,1591,a)]. 1594 T(1 / x,T(x,y) / x) = 1 / x. [para(1591(a,1),1365(a,1,2))]. 1595 T((x * (1 / y)) / x,T(y,z) / y) = (x * (1 / y)) / x. [para(1594(a,1),412(a,1,1,2)),flip(a)]. 1596 T(x,y) = K(y \ (y / (1 / x)),y) * x. [para(1592(a,2),16(a,1,1)),flip(a)]. 1597 K(x \ (x / (1 / (y / (x * y)))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(630(a,1),1592(a,2,1))]. 1598 K(T(1 / (1 / x),x \ 1),x \ 1) = T(x,x \ 1) / x. [para(1189(a,1),1592(a,1,1))]. 1599 T(x,y) / x != z | (1 / x) * T((1 / x) \ 1,y) = z. [para(1593(a,1),667(a,1))]. 1600 T(x,y) / x != z | (1 / x) * T(x,y) = z. [para(1593(a,1),896(a,1))]. 1601 T(x * y,1 / y) / y = ((1 / y) \ x) * (1 / y). [hyper(220,a,1590,a),flip(a)]. 1603 T(((1 / x) * y) * x,z) / x = (1 / x) * T(y,z). [para(13(a,1),1590(a,1,2,1)),flip(a)]. 1605 (1 / x) * T((1 / x) \ (y / x),z) = T(y,z) / x. [para(16(a,1),1590(a,2,1,1))]. 1606 T(x * y,1 / y) / y != z | ((1 / y) \ x) * (1 / y) = z. [para(1590(a,1),220(a,1))]. 1607 ((x \ (y / (1 / z))) * x) * (1 / z) = x * (T((x \ y) * z,x) / z). [para(1590(a,1),1419(a,1,2)),flip(a)]. 1608 ((1 / x) \ (y / x)) * (1 / x) = T(y,1 / x) / x. [para(16(a,1),1601(a,1,1,1)),flip(a)]. 1609 T(x * ((1 / x) * y),x) = x * ((1 / x) * T(y,x)). [para(1603(a,1),1354(a,1,2)),flip(a)]. 1610 (1 / x) \ (T(y,z) / x) = T((1 / x) \ (y / x),z). [hyper(80,a,1605,a)]. 1611 (x / y) * K(z \ (z / ((x / y) \ (1 / y))),z) = T(x,z) / y. [hyper(236,a,1248,a(flip),b,1605,a(flip)),flip(a)]. 1612 K(1 / x,(1 / x) \ (y / x)) = (T(y,1 / x) / x) \ (y / x). [para(1608(a,1),97(a,1,1)),flip(a)]. 1613 T(x,1 / T(x,y)) / T(x,y) = x * (1 / T(x,y)). [para(1155(a,1),1608(a,1,1)),flip(a)]. 1614 T(x * ((1 / x) * ((1 / x) \ (x \ (y * (1 / x))))),x) = (x * T(x \ y,x)) * (1 / x). [hyper(236,a,1344,a(flip),b,1609,a)]. 1616 (1 / T(x,y)) \ (T(x,z) / T(x,y)) = T(x,z). [para(1155(a,1),1610(a,2,1))]. 1617 (T(x,y) / T(x,z)) / T(x,y) = 1 / T(x,z). [para(1616(a,1),62(a,1,2))]. 1620 T(x,y) \ (T(x,y) / T(x,z)) = T(1 / T(x,z),T(x,y)). [para(1617(a,1),121(a,1,1)),flip(a)]. 1621 T(x,y) * ((T(x,z) * (T(x,y) \ 1)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(1617(a,1),1546(a,1,2)),flip(a)]. 1624 K(T(1 / T(x,y),T(x,z)),T(x,z)) / T(x,y) = T(1 / T(x,y),T(x,z)). [para(1620(a,1),1044(a,1,1,1))]. 1625 (x \ T(x * (y / z),z)) * z = (x \ 1) * ((z \ ((x \ 1) \ y)) * z). [hyper(535,a,1421,a),flip(a)]. 1626 (x \ T(x * (y / y),z)) * y = (x \ 1) * ((x \ T(x,z)) * ((x \ 1) \ y)). [para(1099(a,2),1421(a,1,2)),flip(a)]. 1627 T((x \ (x * (y / x))) * x,x) = (x \ 1) * ((x \ ((x \ 1) \ y)) * x). [hyper(236,a,1352,a,b,1625,a(flip)),flip(a)]. 1628 T(x,y) = (y \ 1) * ((y \ ((y \ 1) \ x)) * y). [para(66(a,1),1627(a,1,1))]. 1629 (x \ 1) * ((x \ y) * x) = T((x \ 1) * y,x). [para(13(a,1),1628(a,2,2,1,2)),flip(a)]. 1630 T((x \ 1) * (x * y),x) = (x \ 1) * (y * x). [para(13(a,1),1629(a,1,2,1)),flip(a)]. 1631 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * (K(y \ x,y) * x). [para(96(a,1),1629(a,1,2,1)),flip(a)]. 1632 ((x \ 1) * y) \ T((x \ 1) * y,x) = L(K(x \ y,x),y,x \ 1). [para(1629(a,1),420(a,1,2))]. 1634 ((x \ 1) * (x * y)) * x = x * ((x \ 1) * (y * x)). [para(1630(a,1),119(a,1,2)),flip(a)]. 1635 L(x * y,y \ 1,y) / y = (y \ 1) * (y * x). [hyper(74,a,188,a(flip),b,1634,a)]. 1636 (x \ 1) * (x * (y / x)) = L(y,x \ 1,x) / x. [para(16(a,1),1635(a,1,1,1)),flip(a)]. 1637 x \ (y * ((z * (y \ (x * u))) / z)) = (x \ y) * ((z * ((x \ y) \ u)) / z). [hyper(80,a,1454,a)]. 1638 x * ((x \ y) * ((z * ((x \ y) \ 1)) / z)) = y * ((z * (y \ x)) / z). [para(12(a,1),1454(a,2,2,1,2,2))]. 1639 x * K(y,(y / (x \ z)) / y) = z * ((y * (z \ (x * 1))) / y). [para(1546(a,2),1454(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) * ((z * ((x \ y) \ 1)) / z) = x \ (y * ((z * (y \ x)) / z)). [hyper(80,a,1638,a),flip(a)]. 1643 ((x * ((y \ x) \ z)) / z) * (y \ z) = y \ (x * ((y \ x) \ z)). [para(14(a,1),1515(a,1,2,1)),flip(a)]. 1645 ((x * y) / x) * ((((x * y) / x) \ y) / y) = K(y,1 / ((x * y) / x)). [para(1268(a,1),1551(a,1,2,1))]. 1646 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = K(T(x,z),1 / T(x,y)). [para(1027(a,1),1621(a,1,2,1))]. 1647 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x * 1,y)) * z. [para(59(a,1),1626(a,1,1,2,1,2)),flip(a)]. 1648 (x \ 1) * ((x \ T(x,y)) * ((x \ 1) \ z)) = (x \ T(x,y)) * z. [para(12(a,1),1647(a,2,1,2,1))]. 1650 (x \ T(x,y)) * ((x \ 1) \ ((x \ T(x,y)) \ (x \ 1))) = 1. [hyper(71,a,14,a(flip),b,1648,a),flip(a)]. 1651 (x \ y) * ((z * ((x \ y) \ (x \ u))) / z) = x \ (y * ((z * (y \ u)) / z)). [para(14(a,1),1637(a,1,2,2,1,2,2)),flip(a)]. 1652 (x * y) * L((x * y) \ (z * y),u,w) = (L(z / x,u,w) * x) * y. [hyper(775,a,802,a),flip(a)]. 1653 (L((x * y) / x,z,u) * x) * y = (x * y) * L(y,z,u). [para(13(a,1),1652(a,1,2,1)),flip(a)]. 1654 (x * y) * L((x * y) \ (z * y),u,w) = (x * L(x \ z,u,w)) * y. [para(610(a,1),1652(a,2,1))]. 1655 (x * L(y,z,u)) * y = (x * y) * L(y,z,u). [para(611(a,1),1653(a,1,1))]. 1656 ((x / L(y,z,u)) * y) \ (x * y) = L(y,z,u). [hyper(568,a,1655,a)]. 1657 (x * y) / L(y,z,u) = (x / L(y,z,u)) * y. [hyper(559,a,1655,a)]. 1658 (1 / L(x,y,z)) * x = x / L(x,y,z). [hyper(373,a,1655,a),flip(a)]. 1659 (x * L(y,z,u)) \ ((x * y) * L(y,z,u)) = y. [hyper(80,a,1655,a)]. 1660 (x * L(y,z,u)) / y = (x / y) * L(y,z,u). [hyper(74,a,89,a(flip),b,1655,a)]. 1661 ((x / y) * L(y,z,u)) \ (x * L(y,z,u)) = y. [hyper(72,a,89,a(flip),b,1655,a)]. 1663 ((x * y) * L(y,z,u)) \ (y * (x * L(y,z,u))) != w | K(y,x * L(y,z,u)) = w. [para(1655(a,1),285(a,1,1))]. 1665 T(1 / L(x,y,z),x) = x \ (x / L(x,y,z)). [hyper(394,a,xx,b,1658,a)]. 1666 (x * y) / L(y,z,u) != w | (x / L(y,z,u)) * y = w. [para(1656(a,1),294(a,1,2)),flip(b)]. 1667 L(x,y,z) = ((z * y) * x) \ ((z * (y * x)) * x). [para(137(a,1),1656(a,1,1,1)),flip(a)]. 1668 (1 / L(x,y,z)) * x != u | x / L(x,y,z) = u. [para(1657(a,1),301(a,1))]. 1670 R(T(x,y * L(x,z,u)),y,L(x,z,u)) = T(x,y). [para(1659(a,1),984(a,1,1)),flip(a)]. 1671 ((x * y) / z) * L(z,y,x) = (x * (y * z)) / z. [para(103(a,1),1660(a,1,1)),flip(a)]. 1672 (x * L(y,z,u)) / y != w | (x / y) * L(y,z,u) = w. [para(1661(a,1),294(a,1,2)),flip(b)]. 1673 T(x \ (x / L(x,y,z)),L(x,y,z)) = T(L(x,y,z) \ 1,x). [para(1665(a,1),183(a,1,1))]. 1674 (x * L(y,z,u)) * T(y,x) = (y * x) * L(y,z,u). [para(1670(a,1),614(a,1,2))]. 1675 L(x,y,z) = ((z * y) / x) \ ((z * (y * x)) / x). [hyper(80,a,1671,a),flip(a)]. 1676 (x * (y * z)) / z != L(z,y,x) * u | T((x * y) / z,L(z,y,x)) = u. [para(1671(a,1),169(a,2)),flip(a)]. 1677 L(x,y,z) / x != u | (1 / x) * L(x,y,z) = u. [para(11(a,1),1672(a,1,1))]. 1678 ((x * y) * L((x * y) \ x,z,u)) * y = (x * y) * (y * L(y \ 1,z,u)). [hyper(853,a,1654,a),flip(a)]. 1679 x * (y * L(y \ (x \ (z * y)),u,w)) = (x * L(x \ z,u,w)) * y. [hyper(236,a,955,a(flip),b,1654,a(flip)),flip(a)]. 1680 x * L(x \ (x \ (y * x)),z,u) = T(x * L(x \ y,z,u),x). [hyper(168,a,1654,a(flip),b,955,a(flip)),flip(a)]. 1681 (x * y) * L((x * y) \ y,z,u) = (x * L(x \ 1,z,u)) * y. [para(11(a,1),1654(a,1,2,1,2))]. 1682 (x * y) * L((x * y) \ (z * y),u,w) != y * v5 | T(x * L(x \ z,u,w),y) = v5. [para(1654(a,2),169(a,2)),flip(a)]. 1683 T(x * L(x \ y,z,u),x) = x * L(x \ T(y,x),z,u). [para(32(a,2),1680(a,1,2,1,2)),flip(a)]. 1684 x \ T(x * L(x \ y,z,u),x) = L(x \ T(y,x),z,u). [hyper(72,a,1683,a,b,xx)]. 1685 T(x * L(x \ 1,y,z),x) = x * L(x \ 1,y,z). [para(147(a,1),1683(a,2,2,1,2))]. 1686 T(x,x * L(x \ 1,y,z)) = x. [hyper(35,a,1685,a)]. 1687 K(x,x * L(x \ 1,y,z)) = 1. [hyper(36,a,1686,a)]. 1688 T(x,x * ((y * x) \ y)) = x. [para(158(a,1),1686(a,1,2,2))]. 1689 T(x \ y,(x \ y) * (y \ x)) = x \ y. [para(347(a,1),1686(a,1,2,2))]. 1690 T(x \ 1,x \ L(x,y,z)) = x \ 1. [para(1051(a,1),1686(a,1,2))]. 1691 T(1 / x,L(x,y,z) / x) = 1 / x. [para(1481(a,1),1686(a,1,2))]. 1692 T(T(x,y),T(x,y) * ((T(x,y) / x) \ (1 / x))) = T(x,y). [para(1150(a,1),1688(a,1,2,2,1))]. 1693 T(x \ 1,L(x,y,z) * (x \ 1)) = x \ 1. [para(1207(a,2),1690(a,1,2))]. 1694 T((x * (1 / y)) / x,L(y,z,u) / y) = (x * (1 / y)) / x. [para(1691(a,1),412(a,1,1,2)),flip(a)]. 1695 L(x \ y,y \ x,x \ y) * (y \ x) = (y \ x) * (x \ y). [para(1689(a,1),598(a,1,2)),flip(a)]. 1696 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = y \ (x * (x \ y)). [para(1689(a,1),1253(a,2,2,2))]. 1697 R(x \ 1,L(x,y,z),x \ 1) = T(x \ 1,L(x,y,z)). [para(1693(a,1),760(a,1,1))]. 1698 L(x \ T(x * y,x),z,u) = x \ T(x * L(y,z,u),x). [para(13(a,1),1684(a,1,2,1,2,1)),flip(a)]. 1699 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,1692,a)]. 1700 L(x \ y,y \ x,x \ y) = L(1 / (y \ x),y \ x,y). [hyper(18,a,803,a,b,1695,a)]. 1701 x * (y * L(y \ (x \ y),z,u)) = (x * L(x \ 1,z,u)) * y. [hyper(236,a,955,a(flip),b,1681,a(flip)),flip(a)]. 1702 T(x * L(x \ 1,T(x,y),y),y) = T(x,y) * ((x * y) \ y). [hyper(168,a,1681,a(flip),b,445,a(flip))]. 1704 x * ((x * y) * L((x * y) \ y,z,u)) = (x * L(x \ 1,z,u)) * (x * y). [para(13(a,1),1701(a,1,2,2,1,2))]. 1705 (x * (y * L(y \ 1,z,u))) * y = (x * y) * (y * L(y \ 1,z,u)). [para(852(a,1),1678(a,1,1))]. 1706 (x * (y * L(y \ 1,z,u))) / y = (x / y) * (y * L(y \ 1,z,u)). [hyper(74,a,89,a(flip),b,1705,a)]. 1707 (x * y) * (y * L(y \ 1,y,1 / y)) = (x * (y * (1 / y))) * y. [para(380(a,1),1705(a,1,1,2,2)),flip(a)]. 1708 (x * (y * (1 / y))) * y = (x * y) * (y * (1 / y)). [para(380(a,1),1707(a,1,2,2)),flip(a)]. 1709 K(((x \ y) * (y \ x)) \ (x \ y),(x \ y) * (y \ x)) = 1. [hyper(236,a,211,a(flip),b,1696,a)]. 1711 T(1 / (x \ y),(y \ x) * (x \ y)) = 1 / (x \ y). [para(1709(a,1),1048(a,1,1)),flip(a)]. 1712 ((x \ y) * (y \ x)) \ (x \ y) = 1 / (y \ x). [hyper(236,a,1462,a(flip),b,1711,a(flip)),flip(a)]. 1713 L((x \ y) \ 1,x \ y,y \ x) = 1 / (x \ y). [hyper(383,a,1712,a)]. 1714 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / (x \ (x * y)). [para(13(a,1),1712(a,1,1,2))]. 1715 L(((x * y) \ x) \ 1,(x * y) \ x,y) = 1 / ((x * y) \ x). [para(13(a,1),1713(a,1,3))]. 1716 x \ (y * L(y \ x,x \ y,y \ x)) = (x \ y) * (1 / (x \ y)). [para(1713(a,1),1540(a,1,2)),flip(a)]. 1717 (((x * y) \ x) * y) \ ((x * y) \ x) = 1 / y. [para(13(a,1),1714(a,2,2))]. 1718 L(x \ 1,x,(y * x) \ y) = 1 / x. [hyper(383,a,1717,a)]. 1719 (((x * y) \ x) * y) * (1 / y) = (x * y) \ x. [para(1717(a,1),14(a,1,2))]. 1720 ((x * y) \ x) / (1 / y) = ((x * y) \ x) * y. [para(1717(a,1),62(a,1,2))]. 1721 L(x \ 1,x,x \ 1) = 1 / x. [para(11(a,1),1718(a,1,3,1))]. 1722 L(L(x \ 1,y,z),x,x \ 1) = L(1 / x,y,z). [para(1721(a,1),45(a,1,1)),flip(a)]. 1723 (x \ 1) / (1 / x) = (x \ 1) * x. [para(1721(a,1),353(a,1,2))]. 1724 x * L(x \ (y \ x),y,y \ 1) = (y * (1 / y)) * (y \ x). [para(1721(a,1),1343(a,1,1,2)),flip(a)]. 1725 x * (y * L(y \ (x \ y),x,x \ 1)) = (x * (1 / x)) * y. [para(1721(a,1),1701(a,2,1,2))]. 1726 T(1 / (1 / x),x \ 1) = x. [hyper(1192,a,1723,a)]. 1727 (x \ 1) / (1 / x) = K(x \ 1,x). [hyper(236,a,187,a,b,1723,a)]. 1729 T(T(1 / (1 / x),y),x \ 1) = T(x,y). [para(1726(a,1),38(a,1,1)),flip(a)]. 1730 T(1 / (1 / (1 / x)),x) = 1 / x. [para(65(a,1),1726(a,1,2))]. 1731 T(x,x \ 1) / x = K(x,x \ 1). [para(1726(a,1),1598(a,1,1)),flip(a)]. 1732 x \ (1 / (1 / x)) = K(x \ 1,x). [hyper(236,a,1190,a(flip),b,1727,a(flip)),flip(a)]. 1733 K(x \ 1,x) * (1 / x) = x \ 1. [para(1727(a,1),16(a,1,1))]. 1734 (1 / (1 / (1 / x))) * x = x * (1 / x). [para(1730(a,1),119(a,1,2)),flip(a)]. 1735 K(x,x \ 1) * x = T(x,x \ 1). [para(1731(a,1),16(a,1,1))]. 1737 ((x \ 1) \ 1) / x = K(x,x \ 1). [para(120(a,1),1731(a,1,1))]. 1738 x * K(x \ 1,x) = 1 / (1 / x). [para(1732(a,1),14(a,1,2))]. 1742 T(1 / x,K(x \ 1,x)) = 1 / x. [hyper(1438,a,1733,a)]. 1743 (x \ 1) * L(y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((1 / x) * y). [para(1733(a,1),103(a,1,1))]. 1744 (x \ 1) \ (K(x \ 1,x) * y) != z | L((1 / x) \ y,1 / x,K(x \ 1,x)) = z. [para(1733(a,1),784(a,1,1))]. 1745 K(x,x \ 1) * x = (x \ 1) \ 1. [hyper(236,a,120,a(flip),b,1735,a)]. 1746 T(x,x \ 1) * L(y,x,K(x,x \ 1)) = K(x,x \ 1) * (x * y). [para(1735(a,1),103(a,1,1))]. 1747 T(x,x \ 1) * y != K(x,x \ 1) * (x * z) | L(z,x,K(x,x \ 1)) = y. [para(1735(a,1),436(a,1,1))]. 1748 L(x,x \ 1,x) = 1 / (1 / x). [hyper(789,a,1738,a)]. 1749 x * (T(x,y) \ K(x \ 1,x)) = T(x,y) \ (1 / (1 / x)). [hyper(72,a,1738,a(flip),b,1002,a),flip(a)]. 1751 L(R(x,y,z),x \ 1,x) = R(1 / (1 / x),y,z). [para(1748(a,1),44(a,1,1)),flip(a)]. 1752 1 / (1 / x) != y | x * K(x \ 1,x) = y. [para(1748(a,1),796(a,1))]. 1753 K(x \ 1,x) * L(1 / x,y,z) != u | L(1 / x,y,z) * K(x \ 1,x) = u. [para(1742(a,1),369(a,1,2,1))]. 1755 T(x,1 / x) = T(x,x \ 1). [para(186(a,1),1729(a,1,1)),flip(a)]. 1756 T(x,1 / x) = (x \ 1) \ 1. [hyper(236,a,120,a(flip),b,1755,a)]. 1757 R(x,1 / x,x) = T(x,x \ 1). [hyper(236,a,764,a,b,1755,a(flip)),flip(a)]. 1758 L(T(x,x \ 1),1 / x,x) = T(x,x * (1 / x)). [para(1755(a,1),595(a,1,1))]. 1759 (x * T(y,y \ 1)) / x = T((x * y) / x,1 / y). [para(1755(a,1),412(a,1,1,2))]. 1760 R(R(x,y,z),1 / x,x) = R(T(x,x \ 1),y,z). [para(1755(a,1),766(a,2,1))]. 1761 T(x \ 1,x) = ((x \ 1) \ 1) \ 1. [para(62(a,1),1756(a,1,2))]. 1762 ((x \ 1) \ 1) / x = K(x,1 / x). [para(1756(a,1),767(a,1,1))]. 1763 L((x \ 1) \ 1,y,z) / x = L(x,y,z) * (1 / x). [para(1756(a,1),965(a,1,1,1))]. 1764 x \ T(x,x \ 1) = a(x,1 / x,x). [para(1757(a,1),693(a,1,2))]. 1765 T(x,x \ 1) \ 1 = T(x \ 1,x). [hyper(236,a,637,a,b,1761,a),flip(a)]. 1767 K(x,1 / x) = K(x,x \ 1). [hyper(236,a,1737,a(flip),b,1762,a(flip))]. 1768 K(1 / x,1 / (1 / x)) = (x \ 1) / (1 / x). [para(65(a,1),1762(a,1,1,1)),flip(a)]. 1769 K((x / y) \ x,1 / y) = K(y,y \ 1). [hyper(236,a,661,a,b,1767,a(flip)),flip(a)]. 1770 K(x,x \ 1) = x * (1 / x). [hyper(236,a,248,a(flip),b,1767,a(flip))]. 1771 x \ K(x,x \ 1) = 1 / x. [hyper(72,a,1767,a(flip),b,248,a(flip))]. 1772 K(x \ 1,(x \ 1) \ 1) = K(x \ 1,x). [para(62(a,1),1767(a,1,2)),flip(a)]. 1773 K(x \ 1,x) \ 1 = x * (1 / x). [hyper(236,a,401,a,b,1770,a(flip)),flip(a)]. 1775 K(x,x \ 1) \ 1 = K(1 / x,x). [para(1770(a,2),99(a,1,1))]. 1776 (x * y) * (1 / y) != z * K(y,y \ 1) | R(x,y,1 / y) = z. [para(1770(a,2),467(a,2,2))]. 1778 K(x,x \ 1) * T((x * (1 / x)) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [para(1770(a,2),857(a,1,1))]. 1779 L(x,y,z) * K(x,x \ 1) = x * (L(x,y,z) * (1 / x)). [para(1770(a,2),1203(a,1,2))]. 1780 L(x,y,z) \ K(x,x \ 1) = x * (L(x,y,z) \ (1 / x)). [para(1770(a,2),1210(a,1,2))]. 1782 (x * K(y,y \ 1)) * y = (x * y) * (y * (1 / y)). [para(1770(a,2),1708(a,1,1,2))]. 1783 x * (1 / x) != y | K(x,x \ 1) = y. [para(1771(a,1),216(a,1,2)),flip(b)]. 1784 K(x,1 / x) != y | K(x,x \ 1) = y. [para(248(a,2),1783(a,1))]. 1786 x / (1 / (1 / x)) = x * (1 / x). [hyper(236,a,1196,a(flip),b,1734,a(flip)),flip(a)]. 1787 x / (1 / (1 / x)) = K(x,x \ 1). [hyper(236,a,1770,a,b,1786,a)]. 1788 K(x,x \ 1) * (1 / (1 / x)) = x. [para(1787(a,1),16(a,1,1))]. 1789 K(x,x \ 1) \ x = 1 / (1 / x). [para(1787(a,1),65(a,1,1))]. 1790 K(x,x \ 1) * (1 / (1 / x)) != y | y = x. [para(1787(a,1),221(a,1,1))]. 1791 x * L(y,1 / (1 / x),K(x,x \ 1)) = K(x,x \ 1) * ((1 / (1 / x)) * y). [para(1788(a,1),103(a,1,1))]. 1792 K(x,1 / x) * (1 / (1 / x)) = x. [para(1767(a,2),1788(a,1,1))]. 1793 L(x,1 / x,x) = 1 / (1 / x). [hyper(952,a,1792,a)]. 1794 L(T(x,y),1 / x,x) = T(1 / (1 / x),y). [para(1793(a,1),40(a,2,1))]. 1795 L(T(x,x \ 1),1 / x,x) = x. [hyper(236,a,1726,a(flip),b,1794,a)]. 1796 K(x,1 / x) \ (x * (T(x,y) / x)) = T(1 / (1 / x),y). [hyper(236,a,1162,a,b,1794,a(flip)),flip(a)]. 1797 (x * y) \ x = (L(y \ 1,y,x) * y) * (1 / y). [para(158(a,2),1719(a,1,1,1)),flip(a)]. 1798 K(((x * y) \ x) \ (((x * y) \ x) * y),(x * y) \ x) * y = T(y,(x * y) \ x). [para(1720(a,1),1596(a,2,1,1,2)),flip(a)]. 1799 K(1 / x,1 / (1 / x)) = K(x \ 1,x). [hyper(236,a,1727,a(flip),b,1768,a)]. 1800 K(1 / x,(1 / x) \ 1) = K(x \ 1,x). [hyper(1784,a,1799,a)]. 1801 K(1 / x,x) = K(x \ 1,x). [para(65(a,1),1800(a,1,2))]. 1802 K(1 / (1 / x),1 / x) = K(x,x \ 1). [hyper(236,a,1769,a(flip),b,1801,a)]. 1803 K(x,x \ 1) \ 1 = K(x \ 1,x). [hyper(236,a,1775,a,b,1801,a(flip)),flip(a)]. 1804 K((x \ 1) \ 1,x \ 1) = K(x,x \ 1). [para(62(a,1),1801(a,1,1)),flip(a)]. 1805 x * K(1 / x,x) = 1 / (1 / x). [para(1801(a,2),1738(a,1,2))]. 1806 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K((x \ 1) \ 1,x \ 1) * y. [para(1804(a,1),1429(a,1,2,1))]. 1807 K(x \ 1,x) * L(1 / x,y,z) = (x \ 1) * (x * L(x \ 1,y,z)). [para(1722(a,1),446(a,1,2))]. 1808 R(1 / (1 / x),y,z) / R(x,y,z) = x * T(x \ 1,R(x,y,z)). [para(1751(a,1),1582(a,1,1))]. 1809 L(T(x,x \ 1),1 / x,x) = T(x,K(x,1 / x)). [para(248(a,2),1758(a,2,2))]. 1810 R(x,y,z) \ R(T(x,x \ 1),y,z) = a(R(x,y,z),1 / x,x). [para(1760(a,1),693(a,1,2))]. 1811 L(x \ 1,x,y) / (1 / x) = L(x \ 1,x,y) * x. [hyper(570,a,1797,a)]. 1812 T(x,K(x,1 / x)) = x. [hyper(236,a,1795,a(flip),b,1809,a(flip))]. 1813 T(K(x,1 / x),x) = K(x,1 / x). [hyper(35,a,1812,a)]. 1814 T(x,K(x,x \ 1)) = x. [para(1767(a,1),1812(a,1,2))]. 1815 L(x,y,z) * K(x,x \ 1) = K(x,x \ 1) * L(x,y,z). [para(1814(a,1),181(a,1,2,1)),flip(a)]. 1816 a(x,1 / x,x) = K(x,1 / x). [hyper(236,a,754,a(flip),b,1813,a(flip)),flip(a)]. 1817 x \ T(x,x \ 1) = K(x,1 / x). [hyper(236,a,1764,a,b,1816,a(flip)),flip(a)]. 1818 x \ T(x,x \ 1) = K(x,x \ 1). [hyper(236,a,1767,a(flip),b,1817,a)]. 1819 x \ T(x,x \ 1) != y | K(x,x \ 1) = y. [para(1817(a,2),1784(a,1))]. 1820 x \ ((x \ 1) \ 1) = K(x,x \ 1). [hyper(658,a,1818,a)]. 1821 x * K(x,x \ 1) = T(x,x \ 1). [para(1818(a,1),14(a,1,2))]. 1822 x * K(x,x \ 1) = (x \ 1) \ 1. [para(1818(a,1),258(a,2,2)),flip(a)]. 1823 x \ (x \ ((x \ 1) \ 1)) = 1 / x. [hyper(72,a,1820,a,b,1770,a(flip))]. 1824 T(x,x \ 1) * y != x * (K(x,x \ 1) * z) | L(z,K(x,x \ 1),x) = y. [para(1821(a,1),436(a,1,1))]. 1825 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) != z | R(x,K(x,x \ 1),y) = z. [para(1821(a,1),475(a,1,1,1))]. 1826 T((x * y) / x,1 / y) = T((x * y) / x,y \ 1). [hyper(415,a,1759,a),flip(a)]. 1827 L(1 / x,y,z) * (1 / (1 / x)) = L(x \ 1,y,z) / (1 / x). [para(65(a,1),1763(a,1,1,1,1)),flip(a)]. 1828 T(L(x,y,z) * (1 / x),x) = x \ L((x \ 1) \ 1,y,z). [para(1763(a,1),121(a,1,1))]. 1829 (x * K(y,y \ 1)) * y = (x * y) * K(y,y \ 1). [para(1770(a,2),1782(a,2,2))]. 1830 T((x * T(y,x)) / x,T(y,x) \ 1) = T(y,1 / T(y,x)). [para(163(a,1),1826(a,1,1)),flip(a)]. 1832 (x * K(y,y \ 1)) \ ((x * y) * K(y,y \ 1)) = y. [hyper(80,a,1829,a)]. 1833 (x \ 1) * K(x,x \ 1) = 1 / x. [hyper(74,a,247,a(flip),b,1829,a),flip(a)]. 1834 (x * K(y,y \ 1)) / y = (x / y) * K(y,y \ 1). [hyper(74,a,89,a(flip),b,1829,a)]. 1835 K(x,x \ 1) * (x \ 1) = 1 / x. [hyper(1385,a,1833,a)]. 1836 (x \ 1) * K(x,1 / x) = 1 / x. [para(1767(a,2),1833(a,1,2))]. 1837 x * R(x \ K(x,x \ 1),y,z) = R(1 / x,y,z) / (x \ 1). [para(1835(a,1),1102(a,1,1,1)),flip(a)]. 1838 (1 / x) / K(x,1 / x) = x \ 1. [hyper(87,a,1836,a)]. 1839 R(1 / x,x,1 / x) = x \ 1. [hyper(657,a,1838,a)]. 1840 R(x / (y * x),y,1 / y) = R(y \ 1,y,x). [para(1839(a,1),357(a,1,1)),flip(a)]. 1841 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = x * (1 / x). [para(1840(a,1),143(a,1,1))]. 1842 R(T(x,y * K(x,x \ 1)),y,K(x,x \ 1)) = T(x,y). [para(1832(a,1),984(a,1,1)),flip(a)]. 1843 T((x / y) * K(y,y \ 1),y) != z | y \ (x * K(y,y \ 1)) = z. [para(1834(a,1),280(a,1,1))]. 1844 K(x,1 / x) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(1796(a,1),14(a,1,2))]. 1845 K(x,x \ 1) * L(x,y,z) = x * (L(x,y,z) * (1 / x)). [hyper(236,a,1779,a(flip),b,1815,a(flip))]. 1846 T(x,1 / T(x,y)) = T(x,T(x,y) \ 1). [para(163(a,1),1830(a,1,1)),flip(a)]. 1847 T(x,T(x,y) \ 1) / T(x,y) = x * (1 / T(x,y)). [para(1846(a,1),1613(a,1,1))]. 1848 ((x * (1 / T(x,y))) / x) * T(x,y) = T(x,T(x,y) \ 1) / x. [para(1847(a,1),1149(a,1,1,1))]. 1849 K(x,x \ 1) * T(1 / (1 / x),y) = x * (T(x,y) / x). [para(1767(a,1),1844(a,1,1))]. 1850 K(x,x \ 1) * T(K(x,x \ 1) \ x,y) = x * (T(x,y) / x). [para(1789(a,2),1849(a,1,2,1))]. 1851 (x * ((y * x) \ y)) \ x = 1 / ((y * x) \ y). [hyper(710,a,1715,a)]. 1852 x * L(x \ (y \ x),y,y \ 1) = K(y,y \ 1) * (y \ x). [para(1770(a,2),1724(a,2,1))]. 1853 x * (K(x,x \ 1) * (x \ y)) = (x * (1 / x)) * y. [para(1852(a,1),1725(a,1,2))]. 1854 K(x,x \ 1) * (x \ L(y,1 / x,x)) = (1 / x) * y. [hyper(17,a,103,a(flip),b,1853,a)]. 1855 x * (K(x,x \ 1) * (x \ y)) = K(x,x \ 1) * y. [para(1770(a,2),1853(a,2,1))]. 1856 K(x,x \ 1) * (x \ L(x,y,z)) = L(x,y,z) * (1 / x). [hyper(17,a,1845,a(flip),b,1855,a)]. 1857 K(x,x \ 1) * (x * y) = x * (K(x,x \ 1) * y). [para(13(a,1),1855(a,1,2,2)),flip(a)]. 1859 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,(x \ 1) \ 1) * y. [para(1772(a,1),1855(a,1,2,1))]. 1860 (1 / x) * (K(x \ 1,x) * ((1 / x) \ y)) = K(1 / x,(1 / x) \ 1) * y. [para(1800(a,1),1855(a,1,2,1))]. 1861 K(x,x \ 1) * y != (1 / x) * z | x \ L(z,1 / x,x) = y. [para(1854(a,1),19(a,1)),flip(a)]. 1862 K(1 / x,(1 / x) \ 1) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [hyper(236,a,1856,a,b,1827,a(flip)),flip(a)]. 1863 R(1 / x,y,z) / (x \ 1) = x * R(1 / x,y,z). [para(1771(a,1),1837(a,1,2,1)),flip(a)]. 1864 (x / y) * R(1 / (x / y),x / y,y) = (y / x) / ((x / y) \ 1). [para(355(a,1),1863(a,1,1)),flip(a)]. 1865 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x,T(x,y) \ 1) / x. [hyper(916,a,1848,a)]. 1866 (x * (T(x,y) / x)) * (K(x,x \ 1) \ 1) = T(x * (K(x,x \ 1) \ 1),y). [para(1850(a,1),945(a,1,1))]. 1867 T(x,y) * ((T(x,y) \ x) / x) = T(x,T(x,y) \ 1) / x. [para(1004(a,1),1865(a,1,2,1))]. 1868 x * (T(x,T(x,y) \ 1) / x) = T(x,x / (x * T(x,y))). [para(1865(a,1),1525(a,1,2))]. 1869 (T(x,T(x,y) \ 1) / x) * x = T(x,x / (x * T(x,y))). [para(1867(a,1),1581(a,1,1))]. 1870 T(x,x / (x * T(x,y))) = T(x,T(x,y) \ 1). [hyper(232,a,1869,a),flip(a)]. 1872 x * (T(x,T(x,y) \ 1) / x) = T(x,T(x,y) \ 1). [hyper(236,a,1868,a,b,1870,a(flip)),flip(a)]. 1873 x * (T(x,y) * ((T(x,y) \ x) / x)) = T(x,T(x,y) \ 1). [para(1867(a,2),1872(a,1,2))]. 1874 x \ (y * L(y \ x,x \ y,y \ x)) = K(x \ y,(x \ y) \ 1). [hyper(236,a,1770,a,b,1716,a)]. 1875 T(x,x \ 1) * L(y,x,K(x,x \ 1)) = x * (K(x,x \ 1) * y). [hyper(236,a,1857,a(flip),b,1746,a)]. 1876 R(x \ 1,x,y) \ (((y / (x * y)) * x) * (1 / x)) = K(x,x \ 1). [hyper(236,a,1770,a,b,1841,a)]. 1877 (x / y) / ((y / x) \ 1) = (y / x) * (x / y). [para(355(a,1),1864(a,1,2)),flip(a)]. 1878 ((x / y) * (y / x)) * ((x / y) \ 1) = y / x. [para(1877(a,1),16(a,1,1))]. 1879 ((x \ y) / y) * (y / (x \ y)) = x / (((x \ y) / y) \ 1). [para(62(a,1),1877(a,1,1)),flip(a)]. 1880 (x / (y \ x)) * ((y \ x) / x) = ((y \ x) / x) / (y \ 1). [para(62(a,1),1877(a,1,2,1)),flip(a)]. 1882 x / (((x \ y) / y) \ 1) = ((x \ y) / y) * x. [hyper(536,a,1879,a),flip(a)]. 1883 ((x \ y) / y) * R(((x \ y) / y) \ (((x \ y) / y) * x),z,u) = R(x,z,u) / (((x \ y) / y) \ 1). [para(1882(a,1),1111(a,1,2,1,2))]. 1884 ((x \ y) / y) / (x \ 1) = x * ((x \ y) / y). [hyper(290,a,1880,a),flip(a)]. 1886 (x * ((x \ y) / y)) * (x \ 1) = (x \ y) / y. [para(1884(a,1),16(a,1,1))]. 1887 (x * ((x \ y) / y)) * (x \ 1) = R(1 / x,x,x \ y). [hyper(236,a,354,a,b,1886,a)]. 1888 x * L(x \ y,y \ x,x \ y) = y * K(y \ x,(y \ x) \ 1). [para(1874(a,1),14(a,1,2)),flip(a)]. 1889 L(x \ L(y,1 / x,K(x \ 1,x)),x,x \ 1) = (1 / x) * y. [hyper(986,a,1743,a(flip))]. 1890 (x * L(x \ 1,y,z)) * (x * u) = x * ((x * L(x \ 1,y,z)) * u). [para(1681(a,1),1704(a,1,2)),flip(a)]. 1891 (x \ 1) * (((x \ 1) * L((x \ 1) \ 1,y,z)) * u) = (x \ L(x,y,z)) * ((x \ 1) * u). [para(1051(a,1),1890(a,1,1)),flip(a)]. 1892 (x \ 1) * (K(x,x \ 1) * ((x \ 1) \ y)) = K(x,x \ 1) * y. [para(1804(a,1),1806(a,2,1))]. 1893 (x \ 1) \ (K(x,x \ 1) * y) = K(x,x \ 1) * ((x \ 1) \ y). [hyper(80,a,1892,a)]. 1894 L(x,K(y,y \ 1),y) = L(x,y,K(y,y \ 1)). [hyper(1824,a,1875,a)]. 1895 L(x,1 / y,K(1 / y,(1 / y) \ 1)) = L(x,K(y \ 1,y),1 / y). [para(1800(a,1),1894(a,1,2)),flip(a)]. 1896 (x \ 1) * (K(x \ 1,x) * ((x \ 1) \ y)) = K(x \ 1,x) * y. [para(1772(a,1),1859(a,2,1))]. 1897 (x \ 1) \ (K(x \ 1,x) * y) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(80,a,1896,a)]. 1898 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = (1 / x) * (K(x \ 1,x) * (x * y)). [para(435(a,1),1860(a,1,2,2)),flip(a)]. 1899 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * (K(x,x \ 1) \ 1),y). [para(1803(a,1),1866(a,1,2))]. 1900 (x * (T(x,y) / x)) * K(x \ 1,x) = T(x * K(x \ 1,x),y). [para(1803(a,1),1899(a,2,1,2))]. 1901 (x * (T(x,y) / x)) * K(x \ 1,x) = T(1 / (1 / x),y). [para(1738(a,1),1900(a,2,1))]. 1903 (x * y) * R((x * y) \ (z * y),u,w) = (R(z / x,u,w) * x) * y. [hyper(776,a,809,a),flip(a)]. 1904 (x * y) * R((x * y) \ (z * y),u,w) = (x * R(x \ z,u,w)) * y. [para(618(a,1),1903(a,2,1))]. 1905 x * (y * R(y \ (x \ (z * y)),u,w)) = (x * R(x \ z,u,w)) * y. [hyper(236,a,954,a(flip),b,1904,a(flip)),flip(a)]. 1906 (x \ (y * x)) * R((x \ (y * x)) \ x,z,u) = T(y * R(y \ x,z,u),x). [hyper(168,a,1904,a(flip),b,1116,a),flip(a)]. 1907 x * R(x \ (x \ (y * x)),z,u) = T(x * R(x \ y,z,u),x). [hyper(168,a,1904,a(flip),b,954,a(flip)),flip(a)]. 1908 (x \ (y * z)) * R((x \ (y * z)) \ z,u,w) = x \ ((y * R(y \ x,u,w)) * z). [hyper(72,a,1904,a(flip),b,1116,a),flip(a)]. 1909 (x * y) * R((x * y) \ y,z,u) = (x * R(x \ 1,z,u)) * y. [para(11(a,1),1904(a,1,2,1,2))]. 1910 (x * R(x \ (x * y),z,u)) * y = (x * y) * R(y,z,u). [para(13(a,1),1904(a,1,2,1)),flip(a)]. 1913 (x * R(y,z,u)) * y = (x * y) * R(y,z,u). [para(13(a,1),1910(a,1,1,2,1))]. 1914 (1 / R(x,y,z)) * x = x / R(x,y,z). [hyper(373,a,1913,a),flip(a)]. 1915 ((x / R(y,z,u)) * y) * R(y,z,u) = x * y. [hyper(303,a,1913,a),flip(a)]. 1916 ((1 / x) * R(x,y,z)) * x = R(x,y,z). [hyper(236,a,63,a(flip),b,1913,a)]. 1917 (x * R(y,z,u)) \ ((x * y) * R(y,z,u)) = y. [hyper(80,a,1913,a)]. 1918 (x * R(y,z,u)) / y = (x / y) * R(y,z,u). [hyper(74,a,89,a(flip),b,1913,a)]. 1919 (1 / x) * R(x,y,z) = R(x,y,z) / x. [hyper(74,a,63,a(flip),b,1913,a),flip(a)]. 1922 (x / R(x,y,z)) / x = 1 / R(x,y,z). [hyper(87,a,1914,a)]. 1923 R(x,y,z) \ (R(x,y,z) / x) = T(1 / x,R(x,y,z)). [hyper(394,a,xx,b,1919,a),flip(a)]. 1924 R(1 / (1 / x),y,z) * (1 / x) = R(x,y,z) / x. [hyper(236,a,622,a,b,1919,a(flip)),flip(a)]. 1925 R(x,y,z) / x != R(x,y,z) * u | T(1 / x,R(x,y,z)) = u. [para(1919(a,1),169(a,2)),flip(a)]. 1926 L(R(x,y,z) \ u,R(x,y,z),1 / x) = (R(x,y,z) / x) \ ((1 / x) * u). [para(1919(a,1),105(a,2,1))]. 1927 (1 / R(x,y,z)) * x != u | x / R(x,y,z) = u. [para(1922(a,1),221(a,1,1)),flip(b)]. 1928 (x * y) / R(y,z,u) != w | (x / R(y,z,u)) * y = w. [para(1915(a,1),296(a,1,1)),flip(b)]. 1929 R(T(x,y * R(x,z,u)),y,R(x,z,u)) = T(x,y). [para(1917(a,1),984(a,1,1)),flip(a)]. 1930 (1 / x) * R(x,y,z) != u | R(x,y,z) / x = u. [para(1918(a,1),301(a,1))]. 1931 R(x,y,R(x,z,u)) * (y * R(x,z,u)) = (y * R(x,z,u)) * T(x,y). [para(1929(a,1),182(a,1,2)),flip(a)]. 1932 (x * R(y,z,u)) * T(y,x) = (y * x) * R(y,z,u). [para(1929(a,1),614(a,1,2))]. 1933 (1 / x) * R((1 / x) \ 1,y,z) = R(x,y,z) / x. [hyper(824,a,1924,a)]. 1934 R(x,y,z) / T(x,x \ 1) = (x \ 1) * R(x,y,z). [hyper(74,a,54,a(flip),b,1932,a)]. 1936 (x * y) * R(x,y,T(x,y)) = T(x * y,x) * T(x,y). [para(1277(a,1),1932(a,1,1)),flip(a)]. 1937 R(x,y,z) / ((x \ 1) \ 1) = (x \ 1) * R(x,y,z). [hyper(674,a,1934,a)]. 1938 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(1923(a,1),731(a,1,1,2))]. 1939 T(x * R(x \ y,z,u),x) = x * R(x \ T(y,x),z,u). [para(32(a,2),1907(a,1,2,1,2)),flip(a)]. 1940 T(x * R(x \ y,z,u),x) / x = R(T(y,x) / x,z,u). [hyper(74,a,1939,a,b,618,a)]. 1941 x \ T(x * R(x \ y,z,u),x) = R(x \ T(y,x),z,u). [hyper(72,a,1939,a,b,xx)]. 1942 T(x * R(x \ 1,y,z),x) = x * R(x \ 1,y,z). [para(147(a,1),1939(a,2,2,1,2))]. 1943 T(x,x * R(x \ 1,y,z)) = x. [hyper(35,a,1942,a)]. 1944 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * ((x * R(x \ 1,y,z)) / x). [para(1942(a,1),1355(a,2,2,1))]. 1945 T(1 / x,(1 / x) * R(x,y,z)) = 1 / x. [para(65(a,1),1943(a,1,2,2,1))]. 1946 T(x,(y / (x * y)) * x) = x. [para(635(a,2),1943(a,1,2))]. 1947 T(x \ 1,R(x,y,z) * (x \ 1)) = x \ 1. [para(621(a,1),1943(a,1,2))]. 1948 T(x \ 1,x \ R(x,y,z)) = x \ 1. [para(1070(a,1),1943(a,1,2))]. 1949 T(x / y,(y / x) * (x / y)) = x / y. [para(749(a,1),1943(a,1,2))]. 1950 T(x,y / (x * y)) * T(y / (x * y),x) = T(x * (y / (x * y)),x). [para(1946(a,1),1132(a,1,1,1)),flip(a)]. 1951 T(T(x \ 1,y),x \ R(x,z,u)) = T(x \ 1,y). [para(1948(a,1),38(a,1,1)),flip(a)]. 1952 T(x / (y * x),y * (x / (y * x))) = x / (y * x). [para(15(a,1),1949(a,1,2,1))]. 1953 (R(x,y,z) * (1 / x)) / R(x,y,z) = L(1 / x,R(x,y,z),1 / x). [para(1945(a,1),599(a,1,1,2))]. 1954 R(x \ 1,R(x,y,z),x \ 1) = T(x \ 1,R(x,y,z)). [para(1947(a,1),760(a,1,1))]. 1955 R(x / (y * x),y,x / (y * x)) = T(x / (y * x),y). [para(1952(a,1),760(a,1,1))]. 1956 R(x / (y * x),y,x / (y * x)) = R(y \ 1,y,x). [hyper(236,a,630,a(flip),b,1955,a)]. 1957 R(x \ 1,x,y) \ T((y / (x * y)) * x,y / (x * y)) = T(x,y / (x * y)). [para(1956(a,1),1513(a,1,1))]. 1958 R(T(x * y,x) / x,z,u) = T(x * R(y,z,u),x) / x. [para(13(a,1),1940(a,1,1,1,2,1)),flip(a)]. 1961 x * (y * R(y \ (x \ y),z,u)) = (x * R(x \ 1,z,u)) * y. [hyper(236,a,954,a(flip),b,1909,a(flip)),flip(a)]. 1963 x * ((x * y) * R((x * y) \ y,z,u)) = (x * R(x \ 1,z,u)) * (x * y). [para(13(a,1),1961(a,1,2,2,1,2))]. 1964 R(x,y,z) * (z * R(z \ (y * z),u,w)) = (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z. [para(143(a,1),1905(a,1,2,2,1,2))]. 1965 T(x,y / (x * y)) * R(x \ 1,x,y) = T(x * (y / (x * y)),x). [para(630(a,1),1950(a,1,2))]. 1966 T(L(1 / x,R(x,y,z),1 / x),x) = (x \ R(x,y,z)) / R(x,y,z). [para(1953(a,1),1077(a,1,1))]. 1967 L(x \ 1,R(x,y,z),1 / x) = (x \ R(x,y,z)) / R(x,y,z). [hyper(817,a,1966,a)]. 1968 T(x,y) * R((y \ (x * y)) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(32(a,2),1906(a,1,1))]. 1969 T(x,y) * R(T(x,y) \ y,z,u) = T(x * R(x \ y,z,u),y). [para(32(a,2),1968(a,1,2,1,1))]. 1970 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),1969(a,2,1,2,1))]. 1971 T(x * ((x * R(x \ 1,y,z)) / x),x) = x * R(1 / x,y,z). [para(629(a,1),1944(a,2,2))]. 1972 T(x * R(1 / x,y,z),x) = x * R(1 / x,y,z). [para(629(a,1),1971(a,1,1,2))]. 1973 T(x * (y / (x * y)),x) = x * R(1 / x,x,y). [para(159(a,1),1972(a,1,1,2))]. 1974 T(x * (y / (x * y)),x) = x * (y / (x * y)). [para(159(a,1),1973(a,2,2))]. 1975 T(x,x * (y / (x * y))) = x. [hyper(35,a,1974,a)]. 1976 T(x,y / (x * y)) * R(x \ 1,x,y) = x * (y / (x * y)). [hyper(236,a,1965,a,b,1974,a(flip)),flip(a)]. 1977 T(x,x * ((x \ y) / y)) = x. [para(14(a,1),1975(a,1,2,2,2))]. 1978 T(x / y,(x / y) * (y / x)) = x / y. [para(16(a,1),1975(a,1,2,2,2))]. 1979 T((x \ y) \ y,x * ((x \ z) / z)) = T(x,x \ y). [para(1977(a,1),259(a,1,1)),flip(a)]. 1980 T(x / (y * x),(x / (y * x)) * y) = x / (y * x). [para(15(a,1),1978(a,1,2,2))]. 1981 T(x \ y,(y / x) * (x / y)) = T(y / x,x). [para(1978(a,1),183(a,1,1)),flip(a)]. 1982 T(x \ y,(y / x) * (x / y)) = x \ y. [hyper(236,a,121,a(flip),b,1981,a)]. 1983 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = (y * (y \ x)) / x. [para(1982(a,1),1408(a,2,1,2))]. 1984 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = ((x \ y) * T(x,x \ y)) / y. [para(1979(a,1),1408(a,2,1,2))]. 1985 T((x / (y * x)) * y,x / (y * x)) = (x / (y * x)) * y. [hyper(35,a,1980,a)]. 1986 (x * R(x \ 1,y,z)) * (x * u) = x * ((x * R(x \ 1,y,z)) * u). [para(1909(a,1),1963(a,1,2)),flip(a)]. 1987 (x \ 1) * (((x \ 1) * R((x \ 1) \ 1,y,z)) * u) = (x \ R(x,y,z)) * ((x \ 1) * u). [para(1070(a,1),1986(a,1,1)),flip(a)]. 1988 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = x / x. [para(14(a,1),1983(a,2,1))]. 1989 K(((x / y) * (y / x)) \ (x / y),(x / y) * (y / x)) = 1. [hyper(236,a,59,a(flip),b,1988,a)]. 1991 R((x * (y * z)) / (x * y),u,w) = (x * (y * R(z,u,w))) / (x * y). [para(443(a,1),822(a,1,1)),flip(a)]. 1992 (T(x,y) * (1 / x)) / T(x,y) = L(1 / x,T(x,y),1 / x). [hyper(236,a,1595,a(flip),b,1161,a(flip)),flip(a)]. 1994 T(L(1 / x,T(x,y),1 / x),x) = (T(x,y) * (x \ 1)) / T(x,y). [para(1992(a,1),670(a,1,1))]. 1995 (T(x,y) * (x \ 1)) / T(x,y) = L(x \ 1,T(x,y),1 / x). [hyper(817,a,1994,a),flip(a)]. 1996 x * L(x \ 1,T(x,y),1 / x) = K(T(x,y),1 / x). [para(1995(a,1),1550(a,1,2))]. 1997 (L(x \ 1,x,y) * y) / L(x \ 1,x,y) = y * (x * T(x \ 1,y)). [hyper(236,a,442,a(flip),b,1171,a)]. 1998 T(x,x * (y * T(y \ 1,x))) = x. [para(1997(a,1),206(a,1,2))]. 1999 x \ ((L(y \ 1,y,x) * x) / L(y \ 1,y,x)) = (x * (y * T(y \ 1,x))) * (x \ 1). [para(1997(a,1),1264(a,1,1)),flip(a)]. 2000 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ 1 = y \ ((y * (x * T(x \ 1,y))) \ y). [para(1997(a,1),1271(a,1,2,1)),flip(a)]. 2001 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = (1 / y) * (y * (x * T(x \ 1,y))). [para(1997(a,1),1318(a,1,2)),flip(a)]. 2002 T(x,x * K(y,x)) = x. [para(1239(a,2),1998(a,1,2,2))]. 2003 T(x,x * (y \ (z * T(z \ y,x)))) = x. [para(1246(a,1),1998(a,1,2,2))]. 2004 T(x * K(y,x),x) = x * K(y,x). [hyper(35,a,2002,a)]. 2005 T(x,x * (T(x,y) \ ((y \ x) * ((y \ x) \ x)))) = x. [para(1302(a,1),2003(a,1,2,2,2,2))]. 2006 T(x,x * (T(x,y) \ x)) = x. [para(14(a,1),2005(a,1,2,2,2))]. 2007 T(T(x,y),x * (T(x,z) \ x)) = T(x,y). [para(2006(a,1),38(a,1,1)),flip(a)]. 2008 (x * (T(x,y) \ x)) \ (x * x) = T(x,y). [hyper(236,a,1000,a(flip),b,2007,a(flip)),flip(a)]. 2009 (x * x) / T(x,y) = x * (T(x,y) \ x). [para(2008(a,1),62(a,1,2))]. 2010 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = T(x,R(T(y,x),T(y,x) \ 1,x)). [para(1537(a,1),2008(a,1,1,2,1))]. 2011 T(x / T(x,y),x) = T(x,y) \ x. [hyper(1164,a,2009,a)]. 2012 T(((T(x,y) \ x) * x) / (T(x,y) \ x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(2009(a,2),663(a,1,2))]. 2013 T(x,y) * T(T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [para(2011(a,1),405(a,1,1)),flip(a)]. 2014 (x \ y) \ (((y \ x) \ 1) \ (x \ y)) = ((y \ x) \ 1) \ 1. [para(347(a,1),1227(a,1,2,2))]. 2015 (x \ y) * (((y \ x) \ 1) \ 1) = ((y \ x) \ 1) \ (x \ y). [para(2014(a,1),14(a,1,2))]. 2016 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (((y \ x) * (x \ y)) / (y \ x)) * ((x \ y) \ 1). [para(2015(a,1),826(a,1,2,1))]. 2017 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((y \ x) / ((x \ y) \ 1)) / (y \ x)). [para(2015(a,1),1546(a,2,2,1)),flip(a)]. 2018 L(1 / x,y,z) * K(x \ 1,x) = (x \ 1) * (x * L(x \ 1,y,z)). [hyper(1753,a,1807,a)]. 2019 ((x \ 1) * (x * L(x \ 1,x,y))) * x = (x * ((y * x) \ y)) * K(x \ 1,x). [para(2018(a,1),1436(a,1,1))]. 2020 R(x \ 1,x,y) \ ((y / (x * y)) * x) = T(x,y / (x * y)). [para(1985(a,1),1957(a,1,2))]. 2021 T(x,R(x \ 1,x,y)) = T(x,y / (x * y)). [hyper(750,a,2020,a)]. 2022 (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(2021(a,1),176(a,1,2,1))]. 2023 (x * (((T(y,x) \ y) * x) \ x)) \ (x * x) = (T(y,x) \ y) * x. [hyper(236,a,1537,a(flip),b,2010,a)]. 2024 ((x \ 1) * x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [hyper(236,a,1705,a(flip),b,2019,a(flip)),flip(a)]. 2026 K(x \ 1,x) * (x * L(x \ 1,x,y)) = (x * ((y * x) \ y)) * K(x \ 1,x). [para(187(a,2),2024(a,1,1))]. 2027 (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(1208(a,1),608(a,1,1))]. 2031 (x / y) * (y * L(y \ ((x / y) \ z),u,w)) = x * L(x \ z,u,w). [para(16(a,1),966(a,2,2,1,1))]. 2032 (x / y) * L((x / y) \ 1,z,u) = (x * L(x \ y,z,u)) / y. [hyper(74,a,2031,a(flip),b,1701,a(flip)),flip(a)]. 2034 (((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),2032(a,1,1)),flip(a)]. 2035 ((x * ((y \ z) / z)) / x) * z = (((x * (1 / y)) / x) * y) * (y \ z). [para(14(a,1),982(a,1,1,1,2,2))]. 2036 (((x * (1 / y)) / x) * y) * (y \ z) = z * ((x * (z \ (y \ z))) / x). [hyper(916,a,2035,a),flip(a)]. 2037 (x * ((y \ x) / x)) / (y \ x) = ((x * (1 / y)) / x) * y. [hyper(374,a,2035,a)]. 2038 (x * ((y \ x) / x)) / (y \ x) = y * ((x * (y \ 1)) / x). [hyper(236,a,825,a(flip),b,2037,a)]. 2039 (x * ((y * (x \ 1)) / y)) * (x \ z) = z * ((y * (z \ (x \ z))) / y). [para(825(a,1),2036(a,1,1))]. 2040 x * (T(y,x) * R(T(y,x) \ 1,z,u)) = (y * x) * R((y * x) \ x,z,u). [para(119(a,1),1199(a,1,2,1,1)),flip(a)]. 2041 T(x,y) * R(T(x,y) \ 1,z,u) = T(x * R(x \ 1,z,u),y). [hyper(168,a,1909,a(flip),b,2040,a),flip(a)]. 2042 T(x * R(x \ 1,T(x,y),z),y) = (z / (T(x,y) * z)) * T(x,y). [hyper(236,a,635,a,b,2041,a(flip))]. 2043 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(1690(a,1),2041(a,1,2,1,1)),flip(a)]. 2044 T(x * R(x \ 1,T(x,y),x \ 1),y) = ((x \ 1) / (x \ T(x,y))) * T(x,y). [para(930(a,1),2042(a,2,1,2))]. 2045 ((x \ 1) / (x \ T(x,y))) * T(x,y) = T(x * T(x \ 1,T(x,y)),y). [para(1375(a,1),2044(a,1,1,2)),flip(a)]. 2046 T(x * T(x \ 1,T(x,y)),y) != z * T(x,y) | (x \ 1) / (x \ T(x,y)) = z. [para(2045(a,1),20(a,1))]. 2047 T(x,y) * (L(x,z,u) \ 1) = L(x,z,u) \ T(x,y). [para(14(a,1),1225(a,1,2,1)),flip(a)]. 2048 T(x,y) * (T(z / (z / x),y) \ 1) = T(z / (z / x),y) \ T(x,y). [para(416(a,1),1272(a,1,1)),flip(a)]. 2049 x \ ((y * x) * T((y * x) \ z,u)) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(32(a,2),1400(a,1,2,1,1)),flip(a)]. 2050 x \ (y * (x * T(x \ (y \ z),u))) = T(y,x) * T(T(y,x) \ (x \ z),u). [para(857(a,1),2049(a,1,2))]. 2051 T(x,y) * T(T(x,y) \ (y \ z),u) = T(x * T(x \ (z / y),u),y). [hyper(1420,a,2050,a),flip(a)]. 2052 T(x * T(x \ ((y * z) / y),u),y) = T(x,y) * T(T(x,y) \ z,u). [para(13(a,1),2051(a,1,2,1,2)),flip(a)]. 2053 T(x,y) * T(T(x,y) \ T(z,y),u) = T(x * T(x \ z,u),y). [para(163(a,1),2052(a,1,1,2,1,2)),flip(a)]. 2054 T(x,y) * T(T(x,y) \ 1,z) = T(x * T(x \ 1,z),y). [para(147(a,1),2053(a,1,2,1,2))]. 2055 T(x * T(x \ 1,y),z) = K(y \ (y / T(x,z)),y). [hyper(1041,a,2054,a),flip(a)]. 2056 T(x * T(x \ 1,T(x,y)),y) = (T(x,y) \ 1) * T(x,y). [hyper(220,a,2054,a),flip(a)]. 2057 T(x,y) \ T(x * T(x \ 1,z),y) = T(T(x,y) \ 1,z). [hyper(80,a,2054,a)]. 2058 (x * T(x \ 1,y)) * z = z * K(y \ (y / T(x,z)),y). [para(2055(a,1),119(a,1,2)),flip(a)]. 2059 K(x \ (x / T(x,y)),x) = T(K(x \ 1,x),y). [para(272(a,1),2055(a,1,1)),flip(a)]. 2061 K(x \ (x / T(L(y \ 1,y,x),z)),x) = T(K(y,x),z). [para(1245(a,2),2055(a,1,1)),flip(a)]. 2063 K(x \ (x / T(y \ x,z)),x) = T(K(x \ y,x),z). [para(347(a,1),2061(a,1,1,2,2,1))]. 2064 T(K(x \ y,x),(y \ x) \ z) = K(x \ (x / (((y \ x) \ z) \ z)),x). [para(120(a,1),2063(a,1,1,2,2)),flip(a)]. 2065 (x \ 1) / (x \ T(x,y)) = T(x,y) \ 1. [hyper(2046,a,2056,a)]. 2066 T(T(x,y) \ 1,x \ T(x,y)) = (x \ T(x,y)) \ (x \ 1). [para(2065(a,1),121(a,1,1))]. 2069 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(x * (x \ 1),y). [para(1370(a,1),2057(a,1,2,1,2)),flip(a)]. 2072 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ T(1,y). [para(14(a,1),2069(a,2,2,1))]. 2074 T(T(x,y) \ 1,x \ T(x,z)) = T(x,y) \ 1. [para(147(a,1),2072(a,2,2))]. 2075 (x \ T(x,y)) \ (x \ 1) = T(x,y) \ 1. [hyper(236,a,2066,a(flip),b,2074,a(flip)),flip(a)]. 2078 (x * T(x \ 1,y)) \ ((1 / x) \ 1) = T(1 / x,y) \ 1. [para(713(a,1),2075(a,1,1))]. 2079 (x \ T(x,y)) * ((x \ 1) \ (T(x,y) \ 1)) = 1. [para(2075(a,1),1650(a,1,2,2))]. 2080 (x \ 1) \ (T(x,y) \ 1) = (x \ T(x,y)) \ 1. [hyper(80,a,2079,a),flip(a)]. 2081 (x * T(x \ 1,y)) \ x = T(1 / x,y) \ 1. [para(65(a,1),2078(a,1,2))]. 2082 x / (T(1 / x,y) \ 1) = x * T(x \ 1,y). [para(2081(a,1),62(a,1,2))]. 2083 K(x \ (x / y),x) \ y = T(1 / y,x) \ 1. [para(1040(a,2),2081(a,1,1))]. 2087 a(x,x \ y,T(z,x * (x \ y))) = (L(z,x \ y,x) * y) \ (z * y). [para(14(a,1),1451(a,1,2,2)),flip(a)]. 2088 (L(x,y \ z,y) * z) \ (x * z) = a(y,y \ z,T(x,z)). [para(14(a,1),2087(a,1,3,2)),flip(a)]. 2090 T(x,y) * L(T(x,y) \ y,z,u) = T(x * L(x \ y,z,u),y). [hyper(168,a,1654,a(flip),b,1455,a(flip)),flip(a)]. 2091 x * (T(y,x) * L(T(y,x) \ 1,z,u)) = (y * x) * L((y * x) \ x,z,u). [para(12(a,1),1455(a,1,2,1,2)),flip(a)]. 2092 T(x,y) * L(T(x,y) \ 1,z,u) = T(x * L(x \ 1,z,u),y). [hyper(168,a,1681,a(flip),b,2091,a),flip(a)]. 2093 T(x,y) \ T(x * L(x \ 1,z,u),y) = L(T(x,y) \ 1,z,u). [hyper(80,a,2092,a)]. 2094 T(x * L(x \ 1,T(x,y),z),y) = T(x,y) * ((z * T(x,y)) \ z). [hyper(236,a,348,a(flip),b,2092,a(flip))]. 2095 T(x * L(x \ 1,y,z),u) != T(x,u) * w | L(T(x,u) \ 1,y,z) = w. [para(2092(a,1),19(a,1))]. 2096 T(x,y) * L(T(x,y) \ 1,x,1 / x) = T(x * T(1 / x,1),y). [para(723(a,1),2092(a,2,1,2))]. 2097 T(x \ y,z) \ T((x \ y) * (y \ x),z) = L(T(x \ y,z) \ 1,x \ y,x). [para(347(a,1),2093(a,1,2,1,2))]. 2098 T(x * L(x \ 1,T(x,y),1 / x),y) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(1150(a,1),2094(a,2,2,1))]. 2099 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * T(1 / x,1),y). [para(1012(a,1),2096(a,1,2))]. 2100 T(x,y) * ((1 / x) * (T(x,y) \ x)) = T(x * (1 / x),y). [para(145(a,1),2099(a,2,1,2))]. 2101 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(K(T(x,y),1 / x),y). [para(1996(a,1),2098(a,1,1)),flip(a)]. 2107 ((x * y) / x) / ((y \ 1) \ 1) = (y \ 1) * ((x * y) / x). [para(273(a,1),1569(a,1,2,1,2)),flip(a)]. 2108 (T(x,y) \ 1) * ((y * T(x,y)) / y) = x / ((T(x,y) \ 1) \ 1). [para(163(a,1),2107(a,1,1)),flip(a)]. 2109 x / ((T(x,y) \ 1) \ 1) = (T(x,y) \ 1) * x. [para(163(a,1),2108(a,1,2)),flip(a)]. 2110 (T(x,y) \ 1) \ ((T(x,y) \ x) / x) = K(x,((T(x,y) \ 1) * x) / x). [para(2109(a,1),1555(a,1,2,1)),flip(a)]. 2111 (T(x,y) \ 1) \ ((T(x,y) \ x) / x) = K(x,T(x,y) \ 1). [para(15(a,1),2110(a,2,2))]. 2112 (T(x,y) \ 1) * K(x,T(x,y) \ 1) = (T(x,y) \ x) / x. [para(2111(a,1),14(a,1,2))]. 2114 L((1 / x) \ y,1 / x,K(x \ 1,x)) = K(x \ 1,x) * ((x \ 1) \ y). [hyper(1744,a,1897,a)]. 2115 K(x,(y * x) \ y) * x = T(x,(y * x) \ y). [para(13(a,1),1798(a,1,1,1))]. 2116 x \ T(x,(y * x) \ y) = T(K(x,(y * x) \ y),x). [hyper(394,a,xx,b,2115,a),flip(a)]. 2118 (x \ ((y \ x) * z)) * R((x \ ((y \ x) * z)) \ z,u,w) = x \ ((R(y,u,w) * (y \ x)) * z). [para(621(a,1),1908(a,2,2,1))]. 2119 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = y / y. [para(165(a,1),1984(a,2,1))]. 2120 K((x * ((x \ y) / y)) \ x,x * ((x \ y) / y)) = 1. [hyper(236,a,59,a(flip),b,2119,a)]. 2122 T(1 / ((x \ y) / y),x * ((x \ y) / y)) = 1 / ((x \ y) / y). [para(2120(a,1),1048(a,1,1)),flip(a)]. 2123 (x * ((x \ y) / y)) \ x = 1 / ((x \ y) / y). [hyper(236,a,1470,a(flip),b,2122,a(flip)),flip(a)]. 2124 ((x / y) * (y / x)) \ (x / y) = 1 / (((x / y) \ x) / x). [para(65(a,1),2123(a,1,1,2,1))]. 2125 ((x / y) * (y / x)) \ (x / y) = 1 / (y / x). [para(65(a,1),2124(a,2,2,1))]. 2126 ((x / y) * (y / x)) * (1 / (y / x)) = x / y. [para(2125(a,1),14(a,1,2))]. 2127 K(1 / (x / y),(y / x) * (x / y)) = 1. [para(2125(a,1),1989(a,1,1))]. 2128 K(1 / x,(y / (x * y)) * ((x * y) / y)) = 1. [para(15(a,1),2127(a,1,1,2))]. 2129 ((x * y) / y) * (y / (x * y)) = x / (1 / (y / (x * y))). [hyper(74,a,15,a(flip),b,2126,a),flip(a)]. 2130 K(1 / x,(y / (x * y)) * x) = 1. [para(15(a,1),2128(a,1,2,2))]. 2131 T(1 / x,(y / (x * y)) * x) = 1 / x. [hyper(37,a,2130,a)]. 2132 L(x \ 1,x,y / (x * y)) = 1 / x. [hyper(1479,a,2131,a)]. 2133 L(x \ 1,x,R(1 / x,x,y)) = 1 / x. [para(159(a,2),2132(a,1,3))]. 2134 ((x / (y * x)) * y) * (1 / y) = x / (y * x). [para(2132(a,1),349(a,1,2))]. 2135 R(1 / x,x,y) / (1 / x) = R(1 / x,x,y) * x. [para(2133(a,1),353(a,1,2))]. 2136 R(x \ 1,x,y) \ (y / (x * y)) = K(x,x \ 1). [para(2134(a,1),1876(a,1,2))]. 2137 x / (y * x) != z * K(y,y \ 1) | R(y \ 1,y,x) = z. [para(2136(a,1),86(a,1,2)),flip(a),flip(b)]. 2138 T(1 / (1 / x),R(1 / x,x,y)) = x. [hyper(1925,a,2135,a)]. 2139 T(1 / (1 / x),y / (x * y)) = x. [para(159(a,1),2138(a,1,2))]. 2140 T(x,y / (x * y)) = T(x,x \ 1). [para(2139(a,1),1729(a,1,1)),flip(a)]. 2141 T(x,y / (x * y)) = (x \ 1) \ 1. [hyper(236,a,120,a(flip),b,2140,a)]. 2143 K((x / (y * x)) \ 1,x / (y * x)) * (y * x) = T(y,y \ 1) * x. [para(2140(a,1),1411(a,2,1))]. 2144 x \ T(x,y / (x * y)) != z | K(x,x \ 1) = z. [para(2140(a,2),1819(a,1,2))]. 2145 T(x / y,y / x) = ((x / y) \ 1) \ 1. [para(16(a,1),2141(a,1,2,2))]. 2146 T(x / (y * x),y) = ((x / (y * x)) \ 1) \ 1. [para(15(a,1),2145(a,1,2))]. 2147 ((((x * y) / x) \ 1) \ 1) * x = x * T(y,x / (x * y)). [para(2145(a,1),406(a,1,1))]. 2148 R(x \ 1,x,y) = ((y / (x * y)) \ 1) \ 1. [hyper(236,a,630,a(flip),b,2146,a(flip)),flip(a)]. 2149 x * (((y / (x * y)) \ 1) \ 1) = (y / (x * y)) * x. [para(2146(a,1),119(a,1,2))]. 2150 R(R(x,y,z) \ 1,R(x,y,z),y * z) = (((y * z) / ((x * y) * z)) \ 1) \ 1. [para(113(a,1),2148(a,2,1,1,2))]. 2151 x / (1 / (y / (x * y))) = x * (y / (x * y)). [para(15(a,1),2129(a,1,1)),flip(a)]. 2152 (x * (y / (x * y))) \ x = 1 / (y / (x * y)). [para(2151(a,1),65(a,1,1))]. 2153 K(x \ (x * (y / (x * y))),x) = R(x \ 1,x,y) / (y / (x * y)). [para(2151(a,1),1597(a,1,1,2))]. 2154 T(x,((y * x) / y) \ 1) = T(x,y / (y * x)). [hyper(1135,a,2147,a)]. 2155 R(x \ 1,x,y) / (y / (x * y)) = K(y / (x * y),x). [hyper(236,a,660,a(flip),b,2153,a(flip))]. 2157 K(x / (y * x),y) * (x / (y * x)) = R(y \ 1,y,x). [para(2155(a,1),16(a,1,1))]. 2160 ((((x * y) / ((z * x) * y)) \ 1) \ 1) * ((z * x) * y) = ((R(z,x,y) \ 1) * R(z,x,y)) * (x * y). [para(2150(a,1),480(a,1,1))]. 2161 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (((z * (u / x)) / z) * x) * y. [hyper(845,a,869,a),flip(a)]. 2162 (((x * ((y / z) / u)) / x) * u) * z = (u * z) * ((x * ((u * z) \ y)) / x). [para(16(a,1),2161(a,1,2,1,2,2)),flip(a)]. 2163 (x * y) * ((z * ((x * y) \ (u * y))) / z) = (x * ((z * (x \ u)) / z)) * y. [para(825(a,1),2161(a,2,1))]. 2164 (x * y) * ((x * ((x * y) \ z)) / x) = (x * ((z / y) / x)) * y. [hyper(303,a,2162,a),flip(a)]. 2165 (x * y) * ((x * ((x * y) \ z)) / x) != u | (x * ((z / y) / x)) * y = u. [para(2162(a,1),303(a,1))]. 2166 (x * ((x / y) / x)) * y = T(x,x / (x * y)). [hyper(236,a,1296,a(flip),b,2164,a(flip))]. 2167 x * (y * ((x * (y \ (x \ z))) / x)) = (x * ((z / y) / x)) * y. [hyper(236,a,1124,a(flip),b,2164,a(flip)),flip(a)]. 2168 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = x * ((z * (y \ u)) * ((x * ((z * (y \ u)) \ (x \ u))) / x)). [para(483(a,2),2167(a,2,1,2,1)),flip(a)]. 2169 T(x,x / (x * y)) != z | (x * ((x / y) / x)) * y = z. [para(1296(a,1),2165(a,1))]. 2171 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (((x / y) * y) \ (u * y))) / z). [hyper(303,a,2163,a),flip(a)]. 2172 x * (y * ((z * (y \ (x \ (u * y)))) / z)) = (x * ((z * (x \ u)) / z)) * y. [hyper(236,a,1124,a(flip),b,2163,a(flip)),flip(a)]. 2173 ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * (y * ((z * (y \ 1)) / z)). [hyper(236,a,1122,a(flip),b,2163,a(flip))]. 2174 (x \ (y * x)) * ((z * ((x \ (y * x)) \ x)) / z) = T(y * ((z * (y \ x)) / z),x). [hyper(168,a,2163,a(flip),b,1454,a),flip(a)]. 2175 (x * y) * ((z * ((x * y) \ y)) / z) = (x * ((z * (x \ 1)) / z)) * y. [para(11(a,1),2163(a,1,2,1,2,2))]. 2176 (x * (((x * y) * (x \ 1)) / (x * y))) * y = (x * y) * (y / (x * y)). [para(55(a,1),2163(a,1,2,1)),flip(a)]. 2178 x * (y * ((z * (y \ (x \ y))) / z)) = (x * ((z * (x \ 1)) / z)) * y. [hyper(236,a,1124,a(flip),b,2175,a(flip)),flip(a)]. 2179 x * ((x * y) * ((z * ((x * y) \ y)) / z)) = (x * ((z * (x \ 1)) / z)) * (x * y). [hyper(236,a,1123,a(flip),b,2175,a(flip)),flip(a)]. 2180 (x * ((y * (x \ 1)) / y)) * x = x * (x * ((y * (x \ 1)) / y)). [hyper(236,a,1122,a(flip),b,2175,a(flip))]. 2181 T(x * ((y * (x \ 1)) / y),z) = K(y,(y / T(x,z)) / y). [hyper(168,a,2175,a(flip),b,1641,a(flip))]. 2183 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((z * ((x * (z \ 1)) / x)) * (x \ y)). [para(2175(a,1),2167(a,1,2)),flip(a)]. 2184 T(x,y) * ((z * (T(x,y) \ 1)) / z) = T(x * ((z * (x \ 1)) / z),y). [hyper(236,a,1546,a(flip),b,2181,a),flip(a)]. 2185 K(x,(x / T(y \ x,z)) / x) = T(K(x,y / x),z). [para(1549(a,1),2181(a,1,1)),flip(a)]. 2186 T(K(x,y / x),K(y / x,z)) = K(x,(x / (y \ x)) / x). [para(1399(a,1),2185(a,1,2,1,2)),flip(a)]. 2187 T(K(x,y / x),K(y / x,z)) = K(x,y / x). [para(62(a,1),2186(a,2,2,1))]. 2188 T(K(x,y),K((y * x) / x,z)) = K(x,(y * x) / x). [para(15(a,1),2187(a,1,1,2))]. 2189 T(K(x,y),K(y,z)) = K(x,(y * x) / x). [para(15(a,1),2188(a,1,2,1))]. 2190 T(K(x,y),K(y,z)) = K(x,y). [para(15(a,1),2189(a,2,2))]. 2191 T(K(x,y),K(z,x)) = K(x,y). [hyper(35,a,2190,a)]. 2192 K(x,y) * K(z,x) = K(z,x) * K(x,y). [para(2190(a,1),119(a,1,2))]. 2193 K(x,y) * K(z,x) != u | K(z,x) * K(x,y) = u. [para(2190(a,1),220(a,1,2))]. 2194 L(K(x,y),z,u) * K(y,w) = K(y,w) * L(K(x,y),z,u). [para(2190(a,1),181(a,1,2,1)),flip(a)]. 2195 R(K(x,y),z,u) * K(y,w) = K(y,w) * R(K(x,y),z,u). [para(2190(a,1),182(a,1,2,1)),flip(a)]. 2196 K(x,y) * L(K(z,x),u,w) != v5 | L(K(z,x),u,w) * K(x,y) = v5. [para(2190(a,1),369(a,1,2,1))]. 2197 K(x,y) * K(y,z) != u | K(y,z) * K(x,y) = u. [para(2191(a,1),220(a,1,2))]. 2198 L(K(x,y),z,u) * K(w,x) = K(w,x) * L(K(x,y),z,u). [para(2191(a,1),181(a,1,2,1)),flip(a)]. 2199 R(K(x,y),z,u) * K(w,x) = K(w,x) * R(K(x,y),z,u). [para(2191(a,1),182(a,1,2,1)),flip(a)]. 2200 K(x,y) * R(K(y,z),u,w) != v5 | R(K(y,z),u,w) * K(x,y) = v5. [para(2191(a,1),370(a,1,2,1))]. 2201 (1 / x) * ((1 / x) * ((y * ((1 / x) \ 1)) / y)) = (((y * x) / y) / x) * (1 / x). [para(1317(a,1),2180(a,1,1)),flip(a)]. 2202 T(x,y) * ((x * (T(x,y) \ 1)) / x) = T(x * (1 / x),y). [para(14(a,1),2184(a,2,1,2,1))]. 2203 T(x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)),z) = T(x,z) * ((T(x,y) * (T(x,z) \ 1)) / T(x,y)). [para(407(a,2),2184(a,2,1,2,1)),flip(a)]. 2204 T(x,y) * ((T(x,y) \ x) / x) = T(x * (1 / x),y). [para(1004(a,1),2202(a,1,2,1))]. 2205 (1 / x) * (T(x,y) \ x) = (T(x,y) \ x) / x. [hyper(17,a,2100,a,b,2204,a),flip(a)]. 2207 T(x,y) * ((T(x,y) \ x) / x) = T(K(x,x \ 1),y). [para(1770(a,2),2204(a,2,1))]. 2208 (T(x,y) \ x) \ ((T(x,y) \ x) / x) = T(1 / x,T(x,y) \ x). [hyper(394,a,xx,b,2205,a),flip(a)]. 2209 T((T(x,y) \ x) / x,x) = (1 / x) * ((T(x,y) \ 1) * x). [para(2205(a,1),1015(a,1,1))]. 2210 x * T(K(x,x \ 1),y) = T(x,T(x,y) \ 1). [para(2207(a,1),1873(a,1,2))]. 2211 T(x,T(x,y) \ 1) != x * z | T(K(x,x \ 1),y) = z. [para(2210(a,1),19(a,1))]. 2212 (1 / x) * ((T(x,y) \ 1) * x) = x \ (T(x,y) \ x). [hyper(280,a,2209,a),flip(a)]. 2213 (1 / x) * ((T(x,y) \ 1) * x) = T(x,y) \ 1. [hyper(236,a,1008,a(flip),b,2209,a(flip))]. 2214 (1 / x) * ((T(x,y) \ 1) * x) != z | T(x,y) \ 1 = z. [para(2212(a,2),1011(a,1))]. 2215 (T(x,y) \ x) * T(T(1 / x,T(x,y) \ x),x) = ((T(x,y) \ x) / x) * K(x \ 1,x). [para(2208(a,1),1038(a,2,2,1)),flip(a)]. 2216 (x * ((y * (x \ z)) / y)) * y = x * (y * ((x \ (z * y)) / y)). [para(14(a,1),2172(a,1,2,2,1)),flip(a)]. 2217 ((x * y) * ((z * ((x * y) \ x)) / z)) * z = (x * y) * (z * (L(y \ z,y,x) / z)). [para(105(a,2),2216(a,2,2,2,1))]. 2218 T(x,y) * ((z * ((y \ (x * y)) \ y)) / z) = T(x * ((z * (x \ y)) / z),y). [para(32(a,2),2174(a,1,1))]. 2219 T(x,y) * ((z * (T(x,y) \ y)) / z) = T(x * ((z * (x \ y)) / z),y). [para(32(a,2),2218(a,1,2,1,2,1))]. 2220 (x * ((y * (x \ 1)) / y)) * (x * z) = x * ((x * ((y * (x \ 1)) / y)) * z). [para(2175(a,1),2179(a,1,2)),flip(a)]. 2221 K(x,(x / y) / x) * (y * z) = y * ((y * ((x * (y \ 1)) / x)) * z). [para(1546(a,2),2220(a,1,1))]. 2222 (((x * y) / x) / y) * (1 / y) = (1 / y) * (((x * y) / x) / y). [para(1317(a,1),2201(a,1,2)),flip(a)]. 2223 ((1 / x) * (((y * x) / y) / x)) / (1 / x) = ((y * x) / y) / x. [hyper(87,a,2222,a)]. 2224 R(((x * y) / x) / y,y,x) = ((1 / y) * ((x * y) / (y * x))) / (1 / y). [para(2223(a,1),842(a,1,1))]. 2225 ((1 / x) * ((y * x) / (x * y))) / (1 / x) = (y * x) / (x * y). [hyper(563,a,2224,a),flip(a)]. 2226 T((x * y) / (y * x),y * x) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [para(2225(a,1),670(a,1,1))]. 2227 ((1 / x) * ((x * y) \ (y * x))) / (1 / x) = (x * y) \ (y * x). [hyper(280,a,2226,a),flip(a)]. 2228 K(x,y) = ((1 / y) * ((y * x) \ (x * y))) / (1 / y). [hyper(236,a,26,a,b,2227,a),flip(a)]. 2229 ((1 / x) * K(y,x)) / (1 / x) = K(y,x). [para(26(a,2),2228(a,2,1,2)),flip(a)]. 2230 K(x,y) * (1 / y) = (1 / y) * K(x,y). [para(2229(a,1),16(a,1,1))]. 2232 (x \ 1) * (L(x \ 1,x,y) \ (x * ((y * x) \ y))) = K(x \ 1,x * ((y * x) \ y)). [hyper(236,a,1210,a(flip),b,1061,a(flip)),flip(a)]. 2234 (x * y) * ((z * ((x * y) \ u)) / z) != w | x * (y * ((z * (y \ (x \ u))) / z)) = w. [para(14(a,1),1125(a,1,2,1,2,2))]. 2235 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * ((1 / x) * T(x,y)). [hyper(236,a,442,a(flip),b,1172,a)]. 2236 (L(x,1 / x,y) * y) / L(x,1 / x,y) = y * (T(x,y) / x). [para(1150(a,1),2235(a,2,2))]. 2237 x * (((L(y,1 / y,x) * x) / L(y,1 / y,x)) \ z) = (x * (T(y,x) / y)) \ (x * z). [para(2236(a,1),1267(a,1,1)),flip(a)]. 2238 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * (y * T(y \ 1,u))) * z. [para(703(a,1),1415(a,1,1)),flip(a)]. 2239 (x * y) * L((x * y) \ z,u,w) != y * v5 | T(x * L(x \ (z / y),u,w),y) = v5. [para(16(a,1),1682(a,1,2,1,2))]. 2240 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = (1 / x) * (x * (K(x \ 1,x) * y)). [para(1430(a,1),1898(a,2,2))]. 2241 T(T(x,y) * T(T(x,y) \ x,x),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1169(a,1),2012(a,1,1))]. 2242 T(L(x,T(x,y) \ x,T(x,y)),(x * x) / T(x,y)) = L(x,T(x,y) \ x,x). [para(1026(a,1),2241(a,1,1))]. 2243 T(L(x,T(x,y) \ x,T(x,y)),x * (T(x,y) \ x)) = L(x,T(x,y) \ x,x). [para(2009(a,1),2242(a,1,2))]. 2244 L(T(x,x * (T(x,y) \ x)),T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [hyper(236,a,40,a,b,2243,a(flip)),flip(a)]. 2245 L(x,T(x,y) \ x,T(x,y)) = L(x,T(x,y) \ x,x). [para(2006(a,1),2244(a,1,1))]. 2246 T(x,y) * T(T(x,y) \ x,x) = L(x,T(x,y) \ x,x). [hyper(236,a,1026,a,b,2245,a(flip)),flip(a)]. 2247 x * L(y,T(y,x) \ y,y) = (y * x) * T(K(x,y),y). [para(2245(a,1),1586(a,1,2))]. 2248 L(x,T(x,y) \ x,x) = (T(x,y) \ x) * T(x,y). [hyper(236,a,2013,a(flip),b,2246,a(flip))]. 2249 K(x \ 1,x * ((y * x) \ y)) = (x \ 1) * T(x,(y * x) \ y). [para(707(a,1),2232(a,1,2)),flip(a)]. 2250 T(x * L(x \ ((y * z) / y),u,w),y) = T(x,y) * L(T(x,y) \ z,u,w). [hyper(2239,a,1455,a)]. 2251 K(1 / x,(1 / x) \ 1) * L(y,x,1 / x) = L(K(x \ 1,x) * y,x,1 / x). [hyper(236,a,430,a(flip),b,2240,a)]. 2252 L(K(x \ 1,x) * y,x,1 / x) = K(x \ 1,x) * L(y,x,1 / x). [para(1800(a,1),2251(a,1,1)),flip(a)]. 2253 K(x \ 1,x) * L(T(y,K(x \ 1,x)),x,1 / x) = L(y * K(x \ 1,x),x,1 / x). [para(119(a,1),2252(a,1,1)),flip(a)]. 2254 K(x \ 1,x) * T(K(x \ 1,x) \ y,z) = (x \ 1) * (x * T(x \ ((x \ 1) \ y),z)). [para(187(a,2),958(a,1,2,1,1))]. 2255 ((x * y) / x) * T(((x * y) / x) \ z,u) = (x * (y * T(y \ T(z,x),u))) / x. [para(32(a,2),1404(a,1,1,2,2,1,2)),flip(a)]. 2256 (x * T(x \ y,x)) * (1 / x) = T(y * (1 / x),x). [para(58(a,1),1614(a,1,1)),flip(a)]. 2257 ((x \ y) * x) * (1 / x) = T(y * (1 / x),x). [para(119(a,1),2256(a,1,1))]. 2259 T((x * y) * (1 / x),x) = (y * x) * (1 / x). [para(13(a,1),2257(a,1,1,1)),flip(a)]. 2260 T(x * (1 / y),y) != z * (1 / y) | (y \ x) * y = z. [para(2257(a,1),20(a,1))]. 2261 T((x * y) * (1 / x),x) != z * (1 / x) | y * x = z. [para(2259(a,2),20(a,1))]. 2262 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(1592(a,2),1699(a,2,2,1))]. 2263 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * ((1 / x) * T((1 / x) \ (x \ y),z)). [para(1770(a,2),1778(a,1,2,1,1))]. 2264 K(x \ 1,x) * ((1 / x) \ L(1 / x,y,z)) = L(x \ 1,y,z) / (1 / x). [para(1800(a,1),1862(a,1,1))]. 2265 K(x \ 1,x) * (x * L(x \ 1,y,z)) = L(x \ 1,y,z) / (1 / x). [para(969(a,1),2264(a,1,2))]. 2266 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) / (1 / x). [hyper(236,a,2026,a(flip),b,2265,a(flip)),flip(a)]. 2267 (x * ((y * x) \ y)) * K(x \ 1,x) = L(x \ 1,x,y) * x. [hyper(236,a,1811,a(flip),b,2266,a)]. 2268 (x \ 1) * (x * L(x \ 1,x,y)) = L(x \ 1,x,y). [hyper(18,a,2019,a,b,2267,a(flip)),flip(a)]. 2269 (x * y) \ x = (y \ 1) * (y * L(y \ 1,y,x)). [hyper(236,a,158,a(flip),b,2268,a),flip(a)]. 2270 (x \ 1) * (x * ((y * x) \ y)) = (y * x) \ y. [para(158(a,1),2269(a,2,2,2)),flip(a)]. 2271 (x \ 1) \ ((y * x) \ y) = x * ((y * x) \ y). [hyper(80,a,2270,a)]. 2272 T(x,x \ 1) \ ((y * (x \ 1)) \ y) = (x \ 1) * ((y * (x \ 1)) \ y). [hyper(17,a,311,a,b,2270,a),flip(a)]. 2273 K(x \ 1,x * ((y * x) \ y)) = 1. [hyper(71,a,2270,a(flip),b,1060,a),flip(a)]. 2274 L((x * ((y * x) \ y)) \ 1,x * ((y * x) \ y),x \ 1) = ((y * x) \ y) \ (x \ 1). [para(2270(a,1),158(a,2,1))]. 2275 T(x,(y * x) \ y) = (x \ 1) \ 1. [hyper(72,a,2273,a(flip),b,2249,a(flip)),flip(a)]. 2276 T(x,(y * x) \ y) = T(x,x \ 1). [hyper(236,a,120,a,b,2275,a)]. 2277 K(x,(y * x) \ y) = ((x \ 1) \ 1) / x. [hyper(74,a,2275,a(flip),b,2115,a),flip(a)]. 2278 T(x \ y,y \ x) = ((x \ y) \ 1) \ 1. [para(14(a,1),2275(a,1,2,1))]. 2279 T(K(x,y),(x * y) \ (y * x)) = T(K(x,y),K(x,y) \ 1). [para(95(a,1),2276(a,1,2,1))]. 2280 K(x,(y * x) \ y) = K(x,x \ 1). [hyper(236,a,1737,a(flip),b,2277,a)]. 2282 K(x \ y,(x \ y) \ 1) = K(x \ y,y \ x). [para(14(a,1),2280(a,1,2,1)),flip(a)]. 2283 K(x,y \ (y / x)) = K(x,x \ 1). [para(16(a,1),2280(a,1,2,1))]. 2284 K(x,(y * x) \ y) \ 1 = K(x \ 1,x). [para(2280(a,2),1803(a,1,1))]. 2285 K((x / y) \ x,z \ (z / y)) = K(y,y \ 1). [hyper(236,a,661,a,b,2283,a(flip)),flip(a)]. 2286 T(x \ (x / y),y) = ((x \ (x / y)) \ 1) \ 1. [para(65(a,1),2278(a,1,2))]. 2287 (x \ y) * (((y \ x) \ 1) \ 1) = (y \ x) * (x \ y). [para(2278(a,1),119(a,1,2))]. 2288 (x \ y) * (((y \ x) \ 1) \ 1) != z | (y \ x) * (x \ y) = z. [para(2278(a,1),220(a,1,2))]. 2289 x * K((x \ y) \ 1,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2278(a,1),1247(a,1,2)),flip(a)]. 2290 K(x \ (x / T(y \ x,x \ y)),x) = T(K(x \ y,x),(y \ x) \ 1). [para(2278(a,2),2064(a,2,1,2,2)),flip(a)]. 2292 L(x * ((y * x) \ y),x \ 1,y * x) = ((y * x) * (x \ 1)) \ y. [para(2271(a,1),227(a,1,1))]. 2293 (x \ 1) * (x * ((y * x) \ y)) != z * u | z \ ((y * x) \ y) = u. [para(2271(a,1),367(a,1,2))]. 2294 (x \ y) * (1 / (x \ y)) = K(x \ y,y \ x). [hyper(236,a,1770,a(flip),b,2282,a(flip)),flip(a)]. 2295 K((x * y) \ x,((x * y) \ x) \ 1) = K((x * y) \ x,y). [para(13(a,1),2282(a,2,2))]. 2296 ((x \ y) \ 1) \ (y \ x) = (x \ y) * (y \ x). [hyper(236,a,2015,a(flip),b,2287,a(flip)),flip(a)]. 2297 ((x * y) \ x) * (x \ (x * y)) = y * ((((x * y) \ x) \ 1) \ 1). [para(13(a,1),2287(a,1,1)),flip(a)]. 2298 ((x \ y) \ 1) * ((x \ y) * (y \ x)) = y \ x. [para(2296(a,1),14(a,1,2))]. 2299 T(K(x,y),K(x,y) \ 1) = T(K(x,y),K(y,x)). [para(26(a,2),2279(a,1,2)),flip(a)]. 2300 T(K(x,y),K(y,x)) = (K(x,y) \ 1) \ 1. [hyper(375,a,2299,a),flip(a)]. 2301 (K(x,y) \ 1) \ 1 = K(x,y). [hyper(236,a,2191,a(flip),b,2300,a(flip))]. 2304 1 / (1 / K(x,y)) = K(x,y). [para(2301(a,1),139(a,1,2,2))]. 2306 x * ((((y * x) \ y) \ 1) \ 1) = ((y * x) \ y) * x. [para(13(a,1),2297(a,1,2)),flip(a)]. 2307 L(x * ((y * x) \ y),x \ 1,y * x) = R(y,x,x \ 1) \ y. [para(189(a,1),2292(a,2,1))]. 2308 T(K(x \ y,x),(y \ x) \ 1) = T(K(x \ y,x),x \ y). [hyper(236,a,2063,a(flip),b,2290,a(flip))]. 2309 T(K(x \ (x * y),x),x \ (x * y)) = T(K(y,x),((x * y) \ x) \ 1). [para(13(a,1),2308(a,1,1,1)),flip(a)]. 2310 T(K(x,y),((y * x) \ y) \ 1) = T(K(x,y),y \ (y * x)). [para(13(a,1),2309(a,1,1,1)),flip(a)]. 2311 T(K(x,y),((y * x) \ y) \ 1) = T(K(x,y),x). [para(13(a,1),2310(a,2,2))]. 2313 (x \ L(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ L(x,y,z)) * u). [para(1051(a,1),1891(a,1,2,1)),flip(a)]. 2314 (x \ 1) * ((x \ L(x,y,z)) \ 1) = (x \ L(x,y,z)) \ (x \ 1). [hyper(72,a,56,a(flip),b,2313,a),flip(a)]. 2315 (x \ L(x,y,z)) \ (x \ 1) != (x \ 1) * u | (x \ L(x,y,z)) \ 1 = u. [para(2314(a,1),19(a,1))]. 2316 (x \ R(x,y,z)) * ((x \ 1) * u) = (x \ 1) * ((x \ R(x,y,z)) * u). [para(1070(a,1),1987(a,1,2,1)),flip(a)]. 2317 (x \ 1) * ((x \ R(x,y,z)) \ 1) = (x \ R(x,y,z)) \ (x \ 1). [hyper(72,a,56,a(flip),b,2316,a),flip(a)]. 2318 (x * (y * T(y \ 1,x))) * (x \ 1) = x \ (x * (y * T(y \ 1,x))). [para(1997(a,1),1999(a,1,2)),flip(a)]. 2319 (x * (y * T(y \ 1,x))) * (x \ 1) = y * T(y \ 1,x). [hyper(236,a,13,a(flip),b,2318,a)]. 2321 (x \ 1) * T((x \ 1) \ 1,y) = (y * (x \ T(x,y))) * (y \ 1). [para(927(a,1),2319(a,1,1,2)),flip(a)]. 2322 ((x * y) \ x) * T(((x * y) \ x) \ 1,x) = (x * K(y,x)) * (x \ 1). [para(1239(a,2),2319(a,1,1,2)),flip(a)]. 2323 (x * (y \ T(y,x))) * (x \ 1) = y \ T(y,x). [hyper(1032,a,2321,a),flip(a)]. 2324 (x * K(y,x)) * (x \ 1) = K(y,x). [hyper(1241,a,2322,a),flip(a)]. 2325 (1 / x) * K(y,1 / x) = K(y,1 / x) / x. [hyper(312,a,2324,a),flip(a)]. 2326 x \ ((x * (y * T(y \ 1,x))) \ x) = (x * (y * T(y \ 1,x))) \ 1. [para(1997(a,1),2000(a,1,1)),flip(a)]. 2327 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) / y = L(x * T(x \ 1,y),y,1 / y). [hyper(236,a,430,a(flip),b,2001,a)]. 2328 L(x * T(x \ 1,y),y,1 / y) = (y * (x * T(x \ 1,y))) / y. [para(1997(a,1),2327(a,1,1)),flip(a)]. 2329 (x * (((x * y) \ x) * T(((x * y) \ x) \ 1,x))) / x = L(K(y,x),x,1 / x). [para(1239(a,2),2328(a,1,1)),flip(a)]. 2330 L(K(x,y),y,1 / y) = (y * K(x,y)) / y. [para(1239(a,2),2329(a,1,1,2)),flip(a)]. 2331 ((x / y) * ((z * ((x / y) \ u)) / z)) * y = x * ((z * (x \ (u * y))) / z). [para(16(a,1),2171(a,2,2,1,2,1))]. 2332 (x * ((y * (x \ (z * u))) / y)) / u = (x / u) * ((y * ((x / u) \ z)) / y). [hyper(87,a,2331,a)]. 2333 (x / y) * ((z * ((x / y) \ 1)) / z) = (x * ((z * (x \ y)) / z)) / y. [para(11(a,1),2332(a,1,1,2,1,2,2)),flip(a)]. 2334 ((x * y) * ((y * ((x * y) \ x)) / y)) / x = ((x * y) / x) * ((((x * y) / x) \ y) / y). [para(1268(a,1),2333(a,1,2,1)),flip(a)]. 2335 (T(x,y) \ x) * T(x \ 1,T(x,y) \ x) = ((T(x,y) \ x) / x) * K(x \ 1,x). [para(183(a,1),2215(a,1,2))]. 2336 ((T(x,y) \ x) / x) * K(x \ 1,x) = (x \ 1) * (T(x,y) \ x). [hyper(220,a,2335,a),flip(a)]. 2338 (x * (T(y,x) / y)) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(2236(a,1),2237(a,1,2,1)),flip(a)]. 2339 L(x * K(y \ 1,y),y,1 / y) = L(x,y,1 / y) * K(y \ 1,y). [hyper(369,a,2253,a),flip(a)]. 2340 K(x \ 1,x) * T(K(x \ 1,x) \ y,z) = (x \ T(x * (y / x),z)) * x. [hyper(236,a,1421,a(flip),b,2254,a)]. 2341 K(x,x \ 1) * T(K(x,x \ 1) \ y,z) = x * (T((x \ y) * x,z) / x). [para(1590(a,1),2263(a,2,2))]. 2342 K(x,x \ 1) * T(K(x,x \ 1) \ y,x) = T(y,x). [hyper(236,a,1353,a(flip),b,2341,a)]. 2343 T(x * K(y,y \ 1),y) = T(x,y) * K(y,y \ 1). [hyper(706,a,2342,a),flip(a)]. 2344 T((x / y) * K(y,y \ 1),y) = (y \ x) * K(y,y \ 1). [para(121(a,1),2343(a,2,1))]. 2345 x \ (y * K(x,x \ 1)) = (x \ y) * K(x,x \ 1). [hyper(1843,a,2344,a)]. 2346 T((x / y) * K(y,y \ 1),y) != z * K(y,y \ 1) | y \ x = z. [para(2344(a,2),20(a,1))]. 2347 x * ((x \ y) * K(x,x \ 1)) = y * K(x,x \ 1). [para(2345(a,1),14(a,1,2))]. 2348 ((1 / x) \ y) * K(1 / x,(1 / x) \ 1) = (1 / x) \ (y * K(1 / x,x)). [para(65(a,1),2345(a,1,2,2,2)),flip(a)]. 2349 (x \ L(x,y,z)) * K(x,x \ 1) = L(x,y,z) * (1 / x). [hyper(17,a,1779,a(flip),b,2347,a)]. 2350 (x * y) * K(x,x \ 1) = x * (y * K(x,x \ 1)). [para(13(a,1),2347(a,1,2,1)),flip(a)]. 2351 R(x,y,K(x,x \ 1)) = x. [hyper(467,a,2350,a)]. 2352 (1 / x) * (y * K(1 / x,(1 / x) \ 1)) = ((1 / x) * y) * K(x \ 1,x). [para(1800(a,1),2350(a,1,2)),flip(a)]. 2353 R(T(x,y),z,K(x,x \ 1)) = T(x,y). [para(2351(a,1),42(a,2,1))]. 2354 T(x,y * K(x,x \ 1)) = T(x,y). [hyper(236,a,1842,a(flip),b,2353,a(flip))]. 2356 (1 / x) \ (L(y,x,1 / x) * K(1 / x,x)) = (x * y) * K(1 / x,(1 / x) \ 1). [para(435(a,1),2348(a,1,1)),flip(a)]. 2357 (1 / x) * ((T(x,y) \ x) * K(1 / x,(1 / x) \ 1)) = ((T(x,y) \ x) / x) * K(x \ 1,x). [para(2205(a,1),2352(a,2,1))]. 2358 (1 / x) \ (L(y,x,1 / x) * K(x \ 1,x)) = (x * y) * K(1 / x,(1 / x) \ 1). [para(1801(a,1),2356(a,1,2,2))]. 2359 (1 / x) \ L(y * K(x \ 1,x),x,1 / x) = (x * y) * K(1 / x,(1 / x) \ 1). [para(2339(a,2),2358(a,1,2))]. 2360 (x * y) * K(1 / x,(1 / x) \ 1) = x * (y * K(x \ 1,x)). [hyper(574,a,2359,a),flip(a)]. 2361 (x * y) * K(x \ 1,x) = x * (y * K(x \ 1,x)). [para(1800(a,1),2360(a,1,2))]. 2362 R(x,y,K(x \ 1,x)) = x. [hyper(467,a,2361,a)]. 2363 x * ((T(x,y) \ 1) * K(x \ 1,x)) = (T(x,y) \ x) * K(x \ 1,x). [para(1004(a,1),2361(a,1,1)),flip(a)]. 2364 R(T(x,y),z,K(x \ 1,x)) = T(x,y). [para(2362(a,1),42(a,2,1))]. 2365 (T(x,y) \ 1) * K(x \ 1,x) = T(x,y) \ K(x \ 1,x). [para(2364(a,1),387(a,1,1)),flip(a)]. 2366 (T(x,y) \ x) * K(x \ 1,x) = x * (T(x,y) \ K(x \ 1,x)). [para(2365(a,1),2363(a,1,2)),flip(a)]. 2367 (T(x,y) \ x) * K(x \ 1,x) = T(x,y) \ (1 / (1 / x)). [hyper(236,a,1749,a(flip),b,2366,a)]. 2368 ((x * y) / x) * ((((x * y) / x) \ y) / y) = ((x * y) * L(1 / y,y,x)) / x. [para(800(a,1),2334(a,1,1,2)),flip(a)]. 2369 ((x * y) / x) * ((((x * y) / x) \ y) / y) = (x * (y * (1 / y))) / x. [para(103(a,1),2368(a,2,1))]. 2370 ((x * y) / x) * ((((x * y) / x) \ y) / y) = (x * K(y,y \ 1)) / x. [para(1770(a,2),2369(a,2,1,2))]. 2371 K(x,1 / ((y * x) / y)) = (y * K(x,x \ 1)) / y. [hyper(236,a,1645,a(flip),b,2370,a(flip)),flip(a)]. 2372 (x * K(x \ y,(x \ y) \ 1)) / x = K(x \ y,1 / (y / x)). [para(14(a,1),2371(a,1,2,2,1)),flip(a)]. 2373 (x * K(x \ y,y \ x)) / x = K(x \ y,1 / (y / x)). [para(2282(a,1),2372(a,1,1,2))]. 2377 (x * y) * K(z \ (z / L(u,y,x)),z) = x * ((y * u) * T((y * u) \ y,z)). [hyper(862,a,1252,a),flip(a)]. 2378 (x * y) * K(z \ (z / L(u,y,x)),z) = x * (y * (u * T(u \ 1,z))). [para(703(a,1),2377(a,2,2))]. 2379 L(x * T(x \ 1,y),z,u) = K(y \ (y / L(x,z,u)),y). [hyper(436,a,2378,a)]. 2380 (x * y) * (L(z,y,x) * T(L(z,y,x) \ 1,u)) = x * (y * (z * T(z \ 1,u))). [para(1040(a,1),2378(a,1,2))]. 2381 L(x,y,z) * T(L(x,y,z) \ 1,u) = L(x * T(x \ 1,u),y,z). [hyper(236,a,1040,a(flip),b,2379,a),flip(a)]. 2382 L(x \ T(x,y),z,u) = K(y \ (y / L(x \ 1,z,u)),y). [para(927(a,1),2379(a,1,1))]. 2383 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),2382(a,2,1,2))]. 2384 L(x \ T(x,(y * x) \ y),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(346(a,1),2382(a,2,1,2))]. 2385 L(x * T(x \ 1,L(x,y,z)),y,z) != u | K(L(x,y,z) \ 1,L(x,y,z)) = u. [para(2381(a,1),538(a,1))]. 2386 L(T(K(x,(y * x) \ y),x),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(2116(a,1),2384(a,1,1))]. 2387 K(x \ (x / R(y,z,u)),x) = (((y * z) * T((y * z) \ z,x)) * u) / (z * u). [para(1320(a,1),1409(a,2,1))]. 2388 K(x \ (x / R(y,z,u)),x) = (((y * T(y \ 1,x)) * z) * u) / (z * u). [para(1347(a,1),2387(a,2,1,1))]. 2389 R(x * T(x \ 1,y),z,u) = K(y \ (y / R(x,z,u)),y). [hyper(236,a,30,a,b,2388,a),flip(a)]. 2390 K(x \ (x / R(y,z,u)),x) != w | R(y * T(y \ 1,x),z,u) = w. [para(2388(a,2),475(a,1))]. 2391 R(x,y,z) * T(R(x,y,z) \ 1,u) = R(x * T(x \ 1,u),y,z). [hyper(236,a,1040,a(flip),b,2389,a),flip(a)]. 2392 R(x * T(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [para(59(a,1),2389(a,2,1,2))]. 2393 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(1074(a,1),2389(a,2,1,2))]. 2395 R(x * T(x \ 1,R(x,y,z)),y,z) = (R(x,y,z) \ 1) * R(x,y,z). [hyper(220,a,2391,a),flip(a)]. 2397 (L(x,y,z) * (1 / x)) / L(x,y,z) = L(1 / x,L(x,y,z),1 / x). [hyper(236,a,1694,a(flip),b,1485,a(flip)),flip(a)]. 2399 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = L(1 / x,L(x,y,z),1 / x) * x. [para(2397(a,1),825(a,1,1)),flip(a)]. 2400 x * ((L(x,y,z) * (x \ 1)) / L(x,y,z)) = x * L(x \ 1,L(x,y,z),1 / x). [hyper(236,a,610,a(flip),b,2399,a)]. 2401 x * L(x \ 1,L(x,y,z),1 / x) = K(L(x,y,z),1 / x). [hyper(236,a,1552,a(flip),b,2400,a(flip))]. 2402 K(x \ 1,x) * L(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * L(x \ ((x \ 1) \ y),z,u)). [para(187(a,2),968(a,1,2,1,1))]. 2403 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),1112(a,1,1))]. 2404 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = x \ T(x,y / (x * y)). [para(2021(a,1),2403(a,2,2))]. 2405 L(1 / (x \ y),x \ y,x) * ((y \ x) \ 1) = (y \ x) \ L(1 / (x \ y),x \ y,x). [para(855(a,1),1218(a,1,2)),flip(a)]. 2406 T(L(x * T(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(2381(a,1),1226(a,1,1))]. 2407 T(L(K(x \ 1,x),y,z),x * (L(x,y,z) \ 1)) = K(x \ (L(x,y,z) \ x),x). [para(272(a,1),2406(a,1,1,1))]. 2408 T(L(K(x \ 1,x),y,z),L(x,y,z) \ x) = K(x \ (L(x,y,z) \ x),x). [para(1211(a,1),2407(a,1,2))]. 2409 L(T(K(x \ 1,x),L(x,y,z) \ x),y,z) = K(x \ (L(x,y,z) \ x),x). [hyper(236,a,40,a,b,2408,a(flip)),flip(a)]. 2410 L(T(K(x \ 1,x),L(x,y,z) \ x),y,z) = K(L(x,y,z) \ 1,x). [para(1219(a,1),2409(a,2,1))]. 2411 (((x * y) \ x) \ K(y,x)) / (((x * y) \ x) \ 1) = K(y,x). [hyper(236,a,1239,a,b,1244,a)]. 2413 T(K(x,y),((y * x) \ y) \ 1) != z | (((y * x) \ y) \ 1) \ (((y * x) \ y) \ K(x,y)) = z. [para(2411(a,1),280(a,1,1))]. 2415 T(K(x,y),x) != z | (((y * x) \ y) \ 1) \ (((y * x) \ y) \ K(x,y)) = z. [para(2311(a,1),2413(a,1))]. 2416 K(x \ 1,x) * R(K(x \ 1,x) \ y,z,u) = (x \ 1) * (x * R(x \ ((x \ 1) \ y),z,u)). [para(187(a,2),1477(a,1,2,1,1))]. 2417 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(1476(a,1),1938(a,1,1))]. 2418 K(x \ y,x) * R((y \ ((x \ y) * x)) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(96(a,1),2118(a,1,1))]. 2419 K(x \ y,x) * R(K(x \ y,x) \ x,z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(96(a,1),2418(a,1,2,1,1))]. 2420 (1 / x) * ((T(x,y) \ x) * K(1 / x,(1 / x) \ 1)) = (x \ 1) * (T(x,y) \ x). [hyper(236,a,2336,a(flip),b,2357,a)]. 2421 (1 / x) * ((T(x,y) \ x) * K(x \ 1,x)) = (x \ 1) * (T(x,y) \ x). [para(1800(a,1),2420(a,1,2,2))]. 2422 (1 / x) * (T(x,y) \ (1 / (1 / x))) = (x \ 1) * (T(x,y) \ x). [para(2367(a,1),2421(a,1,2))]. 2423 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * L((x \ 1) \ y,z,u)) * x. [hyper(236,a,1679,a(flip),b,2402,a)]. 2424 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = ((x \ 1) * R((x \ 1) \ y,z,u)) * x. [hyper(236,a,1905,a(flip),b,2416,a)]. 2425 K(x \ 1,x) * L(K(x \ 1,x) \ (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(962(a,1),2423(a,2,1))]. 2426 K(x \ 1,x) * R(K(x \ 1,x) \ (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(971(a,1),2424(a,2,1))]. 2430 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (z * R(T(y,z),u,w)). [para(32(a,2),1964(a,1,2,2,1)),flip(a)]. 2431 (R(x,y,z) * R(R(x,y,z) \ (x * y),u,w)) * z = R(x,y,z) * (R(y,u,w) * z). [para(182(a,1),2430(a,2,2))]. 2432 R(x,y,z) / (((x \ u) / u) \ 1) = ((x \ u) / u) * R(x,y,z). [para(13(a,1),1883(a,1,2,1)),flip(a)]. 2433 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),2027(a,1,2,1)),flip(a)]. 2435 T(x,y) * (K(y \ (y / (1 / x)),y) \ (1 / x)) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [hyper(236,a,1699,a(flip),b,2262,a(flip))]. 2436 T(x,y) * (T(1 / (1 / x),y) \ 1) = T(x,y) * ((T(x,y) / x) \ (1 / x)). [para(2083(a,1),2435(a,1,2))]. 2437 T(x,y) * ((T(x,y) / x) \ (1 / x)) = T(1 / (1 / x),y) \ T(x,y). [hyper(236,a,2048,a(flip),b,2436,a(flip))]. 2438 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(x \ x,y,z). [para(1686(a,1),2383(a,1,1,2)),flip(a)]. 2439 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = L(1,y,z). [para(52(a,1),2438(a,2,1))]. 2440 K((x * L(x \ 1,y,z)) \ x,x * L(x \ 1,y,z)) = 1. [hyper(236,a,329,a(flip),b,2439,a)]. 2443 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x * 1. [para(2440(a,1),249(a,1,2)),flip(a)]. 2444 ((x * L(x \ 1,y,z)) \ x) * (x * L(x \ 1,y,z)) = x. [hyper(236,a,12,a(flip),b,2443,a)]. 2445 x * (y * L(y \ 1,z,u)) != y | (y * L(y \ 1,z,u)) \ y = x. [para(2444(a,1),20(a,1)),flip(a)]. 2446 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(1937(a,1),1556(a,1,2,1))]. 2447 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [para(15(a,1),2446(a,1,2)),flip(a)]. 2448 (x \ R(x,y,z)) / R(x,y,z) = (x \ 1) * K(R(x,y,z),x \ 1). [para(2447(a,1),14(a,1,2)),flip(a)]. 2450 (x \ 1) * K(R(x,y,z),x \ 1) != u | (x \ R(x,y,z)) / R(x,y,z) = u. [para(2447(a,1),216(a,1,2)),flip(b)]. 2451 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) != u | K(R(x,y,z),x \ 1) = u. [para(2448(a,2),283(a,1,2)),flip(b)]. 2452 K((1 / x) \ ((1 / x) * T((1 / x) \ 1,y)),1 / x) = (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y). [para(2082(a,1),1097(a,1,1,2))]. 2453 (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K((1 / x) \ (T(x,y) / x),1 / x). [para(1591(a,1),2452(a,1,1,2)),flip(a)]. 2454 (((1 / x) * T(x,y)) / (1 / x)) \ T(x,y) = K(T(x,y),1 / x). [para(1159(a,1),2453(a,2,1))]. 2455 T(1 / (1 / x),y) \ T(x,y) = K(T(x,y),1 / x). [para(416(a,1),2454(a,1,1))]. 2456 L(a(L(x,y,z),u,u \ 1),L(x,y,z),z * y) = (z * (y * x)) \ (z * (y * R(x,u,u \ 1))). [para(443(a,1),1565(a,1,2)),flip(a)]. 2457 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = L(1 / (y \ x),y \ x,y) * ((x \ y) \ 1). [para(804(a,1),2016(a,2,1))]. 2458 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = (x \ y) \ L(1 / (y \ x),y \ x,y). [hyper(236,a,2405,a(flip),b,2457,a)]. 2459 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,((x \ y) * (y \ x)) / (y \ x)). [para(1457(a,1),2017(a,2,2,1))]. 2460 ((x \ y) \ 1) * ((((x \ y) \ 1) \ (y \ x)) / (y \ x)) = K(y \ x,x \ y). [para(15(a,1),2459(a,2,2))]. 2461 (x \ y) \ L(1 / (y \ x),y \ x,y) = K(y \ x,x \ y). [hyper(236,a,2458,a(flip),b,2460,a(flip)),flip(a)]. 2463 (x \ y) * K(y \ x,x \ y) = L(1 / (y \ x),y \ x,y). [para(2461(a,1),14(a,1,2))]. 2464 T(x * (((x \ 1) * T((x \ 1) \ 1,y)) / T(x,y)),z) = T(x,z) * ((T(x,z) \ T(x,y)) / T(x,y)). [para(1027(a,1),2203(a,2,2,1))]. 2465 T(x,y) * ((T(x,y) \ T(x,z)) / T(x,z)) = T(K(T(x,z),1 / x),y). [para(1561(a,1),2464(a,1,1)),flip(a)]. 2466 K(T(x,y),1 / T(x,z)) = T(K(T(x,y),1 / x),z). [hyper(236,a,1646,a(flip),b,2465,a(flip)),flip(a)]. 2467 K(T(x,y),T(x,y) \ 1) = T(K(T(x,y),1 / x),y). [hyper(1784,a,2466,a)]. 2468 T(K(T(x,y),1 / x),y) != z | K(T(x,y),T(x,y) \ 1) = z. [para(2466(a,1),1784(a,1))]. 2469 T(x,y) * ((T(x,y) / x) \ (1 / x)) = K(T(x,y),T(x,y) \ 1). [hyper(236,a,2101,a,b,2467,a),flip(a)]. 2470 T(x,y) * ((T(x,y) / x) \ (1 / x)) != z | K(T(x,y),T(x,y) \ 1) = z. [para(2101(a,2),2468(a,1))]. 2471 (T(x,y) / x) \ (1 / x) = 1 / T(x,y). [hyper(17,a,1770,a(flip),b,2469,a)]. 2472 (T(T(x,x \ 1),y) / T(x,x \ 1)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(197(a,1),2471(a,1,2))]. 2473 T(1 / (1 / x),y) \ T(x,y) != z | K(T(x,y),T(x,y) \ 1) = z. [para(2437(a,1),2470(a,1))]. 2474 K(T(x,y),T(x,y) \ 1) = K(T(x,y),1 / x). [hyper(2473,a,2455,a)]. 2475 (x \ T(x,y)) \ (x \ 1) = 1 / T(T(x,x \ 1),y). [para(1195(a,1),2472(a,1,1))]. 2476 1 / T(T(x,x \ 1),y) = T(x,y) \ 1. [hyper(236,a,2075,a(flip),b,2475,a(flip))]. 2477 1 / T((x \ 1) \ 1,y) = T(x,y) \ 1. [para(120(a,1),2476(a,1,2,1))]. 2478 T(1 / (1 / x),y) \ 1 = 1 / T(x,y). [para(270(a,1),2476(a,1,2,1)),flip(a)]. 2479 (T(x,y) \ 1) \ 1 = T((x \ 1) \ 1,y). [para(2477(a,1),65(a,1,1))]. 2481 1 / T(K(x,y),z) = T(K(x,y),z) \ 1. [para(2301(a,1),2477(a,1,2,1))]. 2482 1 / (1 / T(x,y)) = T(1 / (1 / x),y). [para(2478(a,1),62(a,1,2))]. 2483 (T(1 / x,y) \ 1) \ 1 = T(x \ 1,y). [para(65(a,1),2479(a,2,1,1))]. 2484 x * ((T(y,x) \ 1) \ 1) = ((y \ 1) \ 1) * x. [para(2479(a,2),119(a,1,2))]. 2485 T(((x / y) \ 1) \ 1,y) = ((y \ x) \ 1) \ 1. [para(121(a,1),2479(a,1,1,1)),flip(a)]. 2487 R(x,T(y,z) \ 1,T((y \ 1) \ 1,z)) / ((T(y,z) \ 1) \ 1) = x * (T(y,z) \ 1). [para(2479(a,1),395(a,1,1,3))]. 2488 T(x,y) * K(T(x,y) \ 1,T(x,y)) = T(1 / (1 / x),y). [hyper(1752,a,2482,a)]. 2489 T(1 / (1 / (x / y)),y) = 1 / (1 / (y \ x)). [para(121(a,1),2482(a,1,2,2)),flip(a)]. 2490 ((x * T(1 / (1 / y),x)) / x) \ (y / T(y,x)) = 1 / T(y,x). [para(2482(a,1),1532(a,1,1,1,2))]. 2491 T(x,T(x,y) \ 1) = (x \ 1) \ 1. [hyper(705,a,2484,a)]. 2492 (((x / y) \ 1) \ 1) * y = y * (((y \ x) \ 1) \ 1). [para(121(a,1),2484(a,1,2,1,1)),flip(a)]. 2493 ((R(x / y,y,z) \ 1) \ 1) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(487(a,1),2484(a,1,2,1,1)),flip(a)]. 2494 (T(x,y) \ 1) \ (T(x,y) \ x) = (x \ 1) \ 1. [hyper(1013,a,2491,a)]. 2495 T(x,T(x,y) \ 1) = x * K(x,x \ 1). [hyper(236,a,1822,a,b,2491,a)]. 2496 T(x,T(x,y) \ 1) = T(x,x \ 1). [hyper(236,a,120,a,b,2491,a)]. 2497 T(K(x,x \ 1),y) = K(x,x \ 1). [hyper(2211,a,2495,a)]. 2498 T(x,K(y,y \ 1)) = x. [hyper(35,a,2497,a)]. 2499 T(x,y) \ K(x,x \ 1) = (T(x,y) \ x) / x. [hyper(72,a,2497,a(flip),b,2207,a)]. 2500 K(x,x \ 1) * y = y * K(x,x \ 1). [para(2497(a,1),119(a,1,2)),flip(a)]. 2502 x * K(y,y \ 1) != z | K(y,y \ 1) * x = z. [para(2497(a,1),220(a,1,2))]. 2503 T(K(x,(y * x) \ y),z) = K(x,x \ 1). [para(2280(a,2),2497(a,1,1))]. 2506 K(x,x \ 1) * y != z | y * K(x,x \ 1) = z. [para(2498(a,1),220(a,1,2))]. 2508 T(x,K(y,1 / y)) = x. [para(1767(a,2),2498(a,1,2))]. 2509 T(x,K(y \ 1,y)) = x. [para(1772(a,1),2498(a,1,2))]. 2510 T(x,K(y \ z,z \ y)) = x. [para(2282(a,1),2498(a,1,2))]. 2512 K(x,1 / x) * y = y * K(x,1 / x). [hyper(2261,a,2508,a),flip(a)]. 2516 K(x \ 1,x) * y = y * K(x \ 1,x). [hyper(2261,a,2509,a),flip(a)]. 2517 T(K(x \ 1,x),y) = K(x \ 1,x). [hyper(35,a,2509,a)]. 2518 (x * K(y \ 1,y)) / x = K(y \ 1,y). [para(2509(a,1),138(a,1,2))]. 2520 K(x \ 1,x) * y != z * K(x \ 1,x) | z = y. [para(2509(a,1),172(a,1,2))]. 2521 K(x \ 1,x) * y != z | y * K(x \ 1,x) = z. [para(2509(a,1),220(a,1,2))]. 2522 x * (K(y \ 1,y) * z) = x * (z * K(y \ 1,y)). [para(2509(a,1),161(a,1,2,2))]. 2523 x * (K(y \ 1,y) * z) != u | x * (z * K(y \ 1,y)) = u. [para(2509(a,1),535(a,1,2,2))]. 2524 K(x \ y,y \ x) * z = z * K(x \ y,y \ x). [hyper(2261,a,2510,a),flip(a)]. 2525 (x * K(y \ z,z \ y)) / x != u | K(y \ z,z \ y) = u. [para(2510(a,1),298(a,1,2)),flip(b)]. 2526 K(x \ (x / T(x,y)),x) = K(x \ 1,x). [hyper(236,a,2059,a,b,2517,a(flip)),flip(a)]. 2527 T((x \ 1) * x,y) = K(x \ 1,x). [para(187(a,1),2517(a,1,1))]. 2528 x * K(y \ 1,y) != z | K(y \ 1,y) * x = z. [para(2517(a,1),220(a,1,2))]. 2530 L(K(x \ 1,x),y,z) = K(L(x,y,z) \ 1,x). [para(2517(a,1),2410(a,1,1))]. 2531 (1 / (1 / x)) * K(x,x \ 1) = x. [hyper(1790,a,2500,a)]. 2532 ((x * y) * K(z,z \ 1)) / (K(z,z \ 1) * y) = R(x,y,K(z,z \ 1)). [para(2500(a,2),30(a,2,2)),flip(a)]. 2534 R(x,x \ y,K(z,z \ 1)) \ (K(z,z \ 1) * y) = (x \ y) * K(z,z \ 1). [para(2500(a,2),463(a,1,2))]. 2535 (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(2500(a,2),615(a,1,1))]. 2536 (K(x,x \ 1) * y) \ ((z * y) * K(x,x \ 1)) != u | L(T(z,y),y,K(x,x \ 1)) = u. [para(2500(a,1),718(a,1,2))]. 2537 R(x,1 / (1 / y),K(y,y \ 1)) * y = (x * (1 / (1 / y))) * K(y,y \ 1). [para(2531(a,1),113(a,1,2))]. 2538 R(x / (1 / (1 / y)),1 / (1 / y),K(y,y \ 1)) = (x * K(y,y \ 1)) / y. [para(2531(a,1),114(a,2,2))]. 2539 L(K(x,x \ 1),x,y) = K(((y * x) \ y) \ 1,(y * x) \ y). [para(2503(a,1),2386(a,1,1))]. 2540 K(x \ 1,x) * x = 1 / (1 / x). [hyper(236,a,1738,a(flip),b,2516,a)]. 2541 K(x \ 1,x) * (y / x) = y * T(y \ (y / x),x). [hyper(236,a,1038,a(flip),b,2516,a)]. 2542 K(x \ 1,x) \ ((y * (x \ 1)) * x) = R(y,x \ 1,x). [hyper(988,a,2516,a(flip))]. 2543 (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) = R(T(z,y * K(x \ 1,x)),y,K(x \ 1,x)). [para(2516(a,2),615(a,1,1))]. 2544 (K(x \ 1,x) * y) \ ((z * y) * K(x \ 1,x)) != u | L(T(z,y),y,K(x \ 1,x)) = u. [para(2516(a,1),718(a,1,2))]. 2545 (K(x \ 1,x) * y) \ ((y * (x \ 1)) * x) = a(y,x \ 1,x). [para(2516(a,2),275(a,1,1))]. 2546 (K(x \ 1,x) * y) * z != u | (y * K(x \ 1,x)) * z = u. [para(2518(a,1),303(a,1,1,1))]. 2548 K(x \ 1,x) / T(x,y) = T(1 / T(x,y),x). [para(2526(a,1),1044(a,1,1))]. 2549 x * K(x \ (x / T(x,y)),x) = 1 / (1 / x). [para(2526(a,2),1738(a,1,2))]. 2551 T(x,((y * x) / y) \ 1) = ((y \ (y * x)) \ 1) \ 1. [hyper(753,a,2485,a)]. 2552 (x * (((x \ y) \ 1) \ 1)) / x = ((y / x) \ 1) \ 1. [para(2485(a,1),163(a,1,1,2))]. 2553 (x * (1 / (1 / (x \ y)))) / x = 1 / (1 / (y / x)). [para(2489(a,1),163(a,1,1,2))]. 2554 (T(x,y) \ 1) * ((x \ 1) \ 1) = T(x,y) \ x. [para(2494(a,1),14(a,1,2))]. 2556 (x * y) * K(L(z,y,x) \ 1,z) = x * (y * K(z \ 1,z)). [para(2530(a,1),103(a,1,2))]. 2558 T(x,y) \ (1 / (1 / x)) = (T(x,y) \ 1) * x. [hyper(72,a,2549,a(flip),b,1045,a)]. 2559 T(x,y) \ x != z | (T(x,y) \ 1) * T(x,x \ 1) = z. [para(2554(a,1),651(a,1))]. 2560 (1 / x) * ((T(x,y) \ 1) * x) = (x \ 1) * (T(x,y) \ x). [para(2558(a,1),2422(a,1,2))]. 2564 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z). [hyper(236,a,2160,a(flip),b,2492,a(flip))]. 2566 (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(2522(a,2),679(a,1,2))]. 2567 K(L(x,y,z) \ 1,L(x,y,z)) * (x / L(x,y,z)) = x * T(L(x,y,z) \ 1,x). [para(1673(a,1),2541(a,2,2))]. 2568 x * T(x \ (x / y),y) != z | (x / y) * K(y \ 1,y) = z. [para(2541(a,1),2521(a,1))]. 2569 T(x,((y * x) / y) \ 1) = (x \ 1) \ 1. [para(13(a,1),2551(a,2,1,1))]. 2570 T(x,y / (y * x)) = (x \ 1) \ 1. [hyper(236,a,2154,a(flip),b,2569,a(flip)),flip(a)]. 2572 T(x,y / (y * x)) = T(x,x \ 1). [hyper(236,a,120,a,b,2570,a)]. 2573 T(x \ y,x / y) = ((x \ y) \ 1) \ 1. [para(14(a,1),2570(a,1,2,2))]. 2574 (x / (x * y)) * T(y,y \ 1) = y * (x / (x * y)). [para(2572(a,1),119(a,1,2))]. 2575 T((x * y) \ y,x) = (((x * y) \ y) \ 1) \ 1. [para(15(a,1),2573(a,1,2))]. 2576 T(x \ (y \ x),y) = ((x \ (y \ x)) \ 1) \ 1. [para(62(a,1),2573(a,1,2))]. 2577 1 / T(x \ (y \ x),y) = (x \ (y \ x)) \ 1. [para(2576(a,2),62(a,1,2))]. 2578 (x * ((y \ 1) \ 1)) / x = (((x * y) / x) \ 1) \ 1. [para(13(a,1),2552(a,1,1,2,1,1))]. 2580 (x * T(x \ y,y \ x)) / x = ((y / x) \ 1) \ 1. [para(2278(a,2),2552(a,1,1,2))]. 2581 (x * (1 / (1 / y))) / x = 1 / (1 / ((x * y) / x)). [para(13(a,1),2553(a,1,1,2,2,2))]. 2582 T(x / y,x \ y) = ((x / y) \ 1) \ 1. [hyper(410,a,2580,a)]. 2583 T(x / (x * y),y) = ((x / (x * y)) \ 1) \ 1. [para(13(a,1),2582(a,1,2))]. 2584 (x \ 1) * (T(x,y) \ x) = T(x,y) \ 1. [hyper(2214,a,2560,a),flip(a)]. 2585 (x \ 1) \ (T(x,y) \ 1) = T(x,y) \ x. [hyper(72,a,2213,a(flip),b,2560,a(flip))]. 2586 T(1 / x,y) \ (1 / x) = x \ (T(1 / x,y) \ 1). [hyper(17,a,265,a,b,2584,a)]. 2587 (x \ T(x,y)) \ 1 = T(x,y) \ x. [hyper(236,a,2080,a(flip),b,2585,a(flip)),flip(a)]. 2588 (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),2587(a,1,1,2))]. 2589 T(x / y,y) \ (x / y) = ((x / y) \ (y \ x)) \ 1. [para(121(a,1),2587(a,1,1,2)),flip(a)]. 2590 (x * T(x \ 1,y)) \ 1 = T(1 / x,y) \ (1 / x). [para(713(a,1),2587(a,1,1))]. 2591 T(x,R(y,x,(y * x) \ x)) \ x = (x \ (x * K(x,y))) \ 1. [para(1559(a,1),2587(a,1,1,2)),flip(a)]. 2592 ((x / y) \ (y \ x)) \ 1 = (y \ x) \ (x / y). [para(121(a,1),2589(a,1,1)),flip(a)]. 2593 (x \ (x * y)) \ ((x * y) / x) = (((x * y) / x) \ y) \ 1. [para(13(a,1),2592(a,1,1,2)),flip(a)]. 2594 (x * T(x \ 1,y)) \ 1 = x \ (T(1 / x,y) \ 1). [hyper(236,a,2586,a(flip),b,2590,a)]. 2595 (x \ y) \ (T(1 / (x \ y),z) \ 1) = (x \ (y * T(y \ x,z))) \ 1. [para(1246(a,1),2594(a,1,1)),flip(a)]. 2596 (((x * y) / x) \ y) \ 1 = y \ ((x * y) / x). [para(13(a,1),2593(a,1,1)),flip(a)]. 2597 K(x \ y,1 / (y / x)) != z | K(x \ y,y \ x) = z. [para(2373(a,1),2525(a,1))]. 2598 K((x * y) \ x,((x * y) \ x) \ 1) = L(K(y,y \ 1),y,x) \ 1. [para(2539(a,2),401(a,1,1)),flip(a)]. 2599 T(x,L(K(y,y \ 1),y,z)) = x. [para(2539(a,2),2509(a,1,2))]. 2601 L(x \ (K(y \ 1,y) \ ((x * (y \ 1)) * y)),x,K(y \ 1,y)) = a(x,y \ 1,y). [hyper(785,a,2545,a)]. 2602 (x * y) * z != x * (y * K(u \ 1,u)) | K(L(u,y,x) \ 1,u) = z. [para(2556(a,1),19(a,1)),flip(a)]. 2603 T(x,R(y,x,(y * x) \ x)) \ x = K(x,y) \ 1. [para(13(a,1),2591(a,2,1))]. 2605 (1 / (1 / x)) \ (x / T(x,y)) = 1 / T(x,y). [para(163(a,1),2490(a,1,1))]. 2607 K((x * y) \ x,y) = L(K(y,y \ 1),y,x) \ 1. [hyper(236,a,2295,a(flip),b,2598,a(flip)),flip(a)]. 2608 (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),2588(a,2,1))]. 2609 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,z,K(x,x \ 1)). [para(2500(a,2),2532(a,1,1))]. 2610 L(x \ R(x,y \ 1,y),x,K(y \ 1,y)) = a(x,y \ 1,y). [para(2542(a,1),2601(a,1,1,2))]. 2611 R(x,T(y,z) \ 1,T((y \ 1) \ 1,z)) / T((y \ 1) \ 1,z) = x * (T(y,z) \ 1). [para(2479(a,1),2487(a,1,2))]. 2612 R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) = L(T(x,y),y,K(z,z \ 1)). [hyper(2536,a,2535,a),flip(a)]. 2613 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) = L(T(x,y),y,K(z \ 1,z)). [hyper(2544,a,2543,a),flip(a)]. 2614 x * T(((x * T(y,z)) / T(y,z)) \ (x * y),u) = ((x * T(y,z)) * T(y,u)) / T(y,z). [para(15(a,1),1405(a,1,1))]. 2615 ((x * T(y,z)) * T(y,u)) / T(y,z) = x * T(x \ (x * y),u). [para(15(a,1),2614(a,1,2,1,1)),flip(a)]. 2616 ((x * T(y,z)) * T(y,u)) / T(y,z) = x * T(y,u). [para(13(a,1),2615(a,2,2,1))]. 2617 (x * T(y,z)) / T(y,u) = (x / T(y,u)) * T(y,z). [para(16(a,1),2616(a,1,1,1))]. 2618 (x * R(x \ 1,x,y)) \ (x * (y / (x * y))) = K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)). [para(1976(a,1),2022(a,1,2))]. 2619 K(T(x,R(x \ 1,x,y)),R(x \ 1,x,y)) = K(x,y / (x * y)). [hyper(751,a,2618,a),flip(a)]. 2620 x \ T(x,y / (x * y)) = K(x,y / (x * y)). [hyper(236,a,2404,a(flip),b,2619,a(flip)),flip(a)]. 2621 K(x,y / (x * y)) = K(x,x \ 1). [hyper(2144,a,2620,a),flip(a)]. 2622 K(x,y / (x * y)) != z | K(x,x \ 1) = z. [para(2620(a,1),2144(a,1))]. 2624 K(x / y,y / x) != z | K(x / y,(x / y) \ 1) = z. [para(16(a,1),2622(a,1,2,2))]. 2625 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = (x \ 1) * R((x \ 1) \ 1,y,z). [para(1690(a,1),2043(a,2,1))]. 2626 T((x \ 1) * R((x \ 1) \ 1,y,z),x \ L(x,u,w)) = x \ R(x,y,z). [hyper(236,a,1070,a(flip),b,2625,a)]. 2628 T(x \ R(x,y,z),x \ L(x,u,w)) = x \ R(x,y,z). [para(1070(a,1),2626(a,1,1))]. 2629 T(x \ L(x,y,z),x \ R(x,u,w)) = x \ L(x,y,z). [hyper(35,a,2628,a)]. 2630 (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(103(a,1),1201(a,1,2,1,1))]. 2631 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * ((y * z) * R((y * z) \ y,u,w)). [hyper(1136,a,2630,a),flip(a)]. 2632 (x * y) * (L(z,y,x) * R(L(z,y,x) \ 1,u,w)) = x * (y * (z * R(z \ 1,u,w))). [para(953(a,1),2631(a,2,2))]. 2633 L(x,y,z) * R(L(x,y,z) \ 1,u,w) = L(x * R(x \ 1,u,w),y,z). [hyper(436,a,2632,a),flip(a)]. 2634 (x * y) \ (x * (y * (z * R(z \ 1,u,w)))) = L(z,y,x) * R(L(z,y,x) \ 1,u,w). [hyper(80,a,2632,a)]. 2635 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(236,a,1216,a(flip),b,2633,a(flip))]. 2636 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = L(x * T(x \ 1,L(x,y,z)),y,z). [para(1697(a,1),2635(a,1,1,2)),flip(a)]. 2637 ((x \ 1) / (x \ L(x,y,z))) * L(x,y,z) = K(L(x,y,z) \ 1,L(x,y,z)). [hyper(2385,a,2636,a(flip)),flip(a)]. 2638 (x \ 1) / (x \ L(x,y,z)) = L(x,y,z) \ 1. [hyper(18,a,187,a(flip),b,2637,a)]. 2639 x / ((1 / x) \ L(1 / x,y,z)) = L(1 / x,y,z) \ 1. [para(65(a,1),2638(a,1,1))]. 2640 x / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ 1. [para(969(a,1),2639(a,1,2))]. 2641 (L(1 / x,y,z) \ 1) * (x * L(x \ 1,y,z)) = x. [para(2640(a,1),16(a,1,1))]. 2642 (x * L(x \ 1,y,z)) \ x = L(1 / x,y,z) \ 1. [hyper(2445,a,2641,a)]. 2643 L(1 / (1 / x),y,z) \ 1 = (L(x,y,z) / x) \ (1 / x). [para(1481(a,1),2642(a,1,1)),flip(a)]. 2644 T(x * L(x \ 1,y,z),u) \ T(x,u) = L(1 / T(x,u),y,z) \ 1. [para(2092(a,1),2642(a,1,1))]. 2645 (x * (R(y / z,z,y \ u) / x)) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [hyper(236,a,2167,a(flip),b,2168,a)]. 2646 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(1765(a,1),2393(a,1,1,2,1))]. 2647 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(1951(a,1),2646(a,1,1,2)),flip(a)]. 2649 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((x * ((z * u) / ((y * z) * u))) / x) * ((y * z) * u). [para(113(a,1),1478(a,1,1,1,2,2)),flip(a)]. 2650 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * u) * ((x * (((y * z) * u) \ (z * u))) / x). [hyper(236,a,825,a(flip),b,2649,a)]. 2651 (((x * (1 / R(y,z,u))) / x) * R(y,z,u)) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [hyper(236,a,2163,a(flip),b,2650,a)]. 2652 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * y) * ((u * ((x * y) \ y)) / u)) * z. [para(825(a,1),2651(a,1,1))]. 2653 (R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u)) * (y * z) = ((x * ((u * (x \ 1)) / u)) * y) * z. [para(2175(a,1),2652(a,2,1))]. 2654 R(x,y,z) * ((u * (R(x,y,z) \ 1)) / u) = R(x * ((u * (x \ 1)) / u),y,z). [hyper(18,a,113,a,b,2653,a)]. 2655 R(x * ((y * (x \ 1)) / y),z,u) = K(y,(y / R(x,z,u)) / y). [hyper(1547,a,2654,a),flip(a)]. 2656 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),2654(a,1,2,1)),flip(a)]. 2657 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(236,a,1770,a,b,2656,a)]. 2658 R(x * ((x \ R(x,y,z)) / R(x,y,z)),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(1071(a,1),2657(a,1,1,2,1))]. 2659 (((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),1520(a,2,2,1,1))]. 2660 (((x * y) * R((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * R(R(x,y,w) \ 1,z,u). [para(1904(a,1),2659(a,1,1))]. 2661 (((x * R(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * R(R(x,u,w) \ 1,y,z). [para(1909(a,1),2660(a,1,1,1))]. 2662 R(x,y,z) * R(R(x,y,z) \ 1,u,w) = R(x * R(x \ 1,u,w),y,z). [hyper(475,a,2661,a),flip(a)]. 2663 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(236,a,1076,a(flip),b,2662,a(flip))]. 2664 R(x,y,z) * R(R(x,y,z) \ 1,x,x \ 1) = R(x * T(1 * (x \ 1),x),y,z). [para(634(a,1),2662(a,2,1,2))]. 2665 R(x * T(1 * (x \ 1),x),y,z) = a(1 / R(x,y,z),x,x \ 1). [hyper(1089,a,2664,a),flip(a)]. 2666 a(1 / R(x,y,z),x,x \ 1) = R(x * T(x \ 1,x),y,z). [para(11(a,1),2665(a,1,1,2,1)),flip(a)]. 2667 ((x \ 1) / (x \ R(x,y,z))) * R(x,y,z) = R(x * T(x \ 1,R(x,y,z)),y,z). [para(1954(a,1),2663(a,1,1,2)),flip(a)]. 2668 (x \ 1) / (x \ R(x,y,z)) = R(x,y,z) \ 1. [hyper(18,a,2395,a(flip),b,2667,a)]. 2669 (x * (y * z)) * ((u * ((x * (y * z)) \ (x * y))) / u) = (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)). [para(103(a,1),1526(a,1,2,1,2,1))]. 2670 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * ((y * z) * ((u * ((y * z) \ y)) / u)). [hyper(1125,a,2669,a),flip(a)]. 2671 (x * y) * (L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u)) = x * (y * (z * ((u * (z \ 1)) / u))). [para(1122(a,1),2670(a,2,2))]. 2672 L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) = L(x * ((u * (x \ 1)) / u),y,z). [hyper(436,a,2671,a),flip(a)]. 2673 (x * y) \ (x * (y * (z * ((u * (z \ 1)) / u)))) = L(z,y,x) * ((u * (L(z,y,x) \ 1)) / u). [hyper(80,a,2671,a)]. 2674 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),2672(a,1,2,1)),flip(a)]. 2675 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(236,a,1770,a,b,2674,a)]. 2676 L(K(L(x,y,z),1 / x),y,z) = K(L(x,y,z),L(x,y,z) \ 1). [para(1552(a,1),2675(a,1,1))]. 2677 L(x,y,z) * ((u * (L(x,y,z) \ 1)) / u) != w | L(x * ((u * (x \ 1)) / u),y,z) = w. [para(2673(a,1),447(a,1))]. 2679 (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),1541(a,2,2,1,1))]. 2680 (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(955(a,1),2679(a,1,2))]. 2681 (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),2680(a,1,2,2,2,1,2))]. 2682 (x * y) \ (x * (y * (z * L(z \ 1,u,w)))) = L(z,y,x) * L(L(z,y,x) \ 1,u,w). [para(852(a,1),2681(a,1,2,2))]. 2683 L(x,y,z) * L(L(x,y,z) \ 1,u,w) = L(x * L(x \ 1,u,w),y,z). [hyper(447,a,2682,a),flip(a)]. 2685 L(x,y,z) * L(L(x,y,z) \ 1,x,1 / x) = L(x * T(1 / x,1),y,z). [para(723(a,1),2683(a,2,1,2))]. 2686 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(1484(a,1),2683(a,1,2))]. 2687 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * T(1 / x,1),y,z). [para(1224(a,1),2685(a,1,2))]. 2688 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(x * (1 / x),y,z). [para(145(a,1),2687(a,2,1,2))]. 2689 L(x,y,z) * ((1 / x) * (L(x,y,z) \ x)) = L(K(x,x \ 1),y,z). [para(1770(a,2),2688(a,2,1))]. 2690 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),2686(a,1,2,2)),flip(a)]. 2691 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = L(K(L(x,y,z),1 / x),y,z). [para(2401(a,1),2690(a,1,1)),flip(a)]. 2692 L(x,y,z) * ((L(x,y,z) / x) \ (1 / x)) = K(L(x,y,z),L(x,y,z) \ 1). [hyper(236,a,2676,a(flip),b,2691,a)]. 2693 (L(x,y,z) / x) \ (1 / x) = 1 / L(x,y,z). [hyper(17,a,1770,a(flip),b,2692,a)]. 2694 L(1 / (1 / x),y,z) \ 1 = 1 / L(x,y,z). [hyper(236,a,2643,a,b,2693,a(flip)),flip(a)]. 2695 L(1 / (1 / x),y,z) = 1 / (1 / L(x,y,z)). [para(2694(a,1),62(a,1,2)),flip(a)]. 2696 1 / L(x \ 1,y,z) = L(1 / x,y,z) \ 1. [para(62(a,1),2694(a,1,1,1,2)),flip(a)]. 2697 1 / (1 / L(x \ 1,y,z)) = L(1 / x,y,z). [para(62(a,1),2695(a,1,1,2)),flip(a)]. 2698 L(1 / (1 / (x \ (y \ z))),x,y) = 1 / (1 / ((y * x) \ z)). [para(227(a,1),2695(a,2,2,2))]. 2699 T(1 / (1 / L(x,y,z)),1 / x) = L((1 / x) \ 1,y,z). [para(2695(a,1),184(a,1,1))]. 2700 (L(1 / x,y,z) \ 1) \ 1 = L(x \ 1,y,z). [para(2696(a,1),65(a,1,1))]. 2701 L(1 / x,x,y) \ 1 = 1 / ((y * x) \ y). [para(158(a,1),2696(a,1,2)),flip(a)]. 2702 L(1 / x,x,y) = 1 / (1 / ((y * x) \ y)). [para(2701(a,1),62(a,1,2)),flip(a)]. 2703 L(1 / (x \ y),x \ y,x) = 1 / (1 / (y \ x)). [para(14(a,1),2702(a,2,2,2,1))]. 2704 L(x,x \ 1,y) = 1 / (1 / ((y * (x \ 1)) \ y)). [para(62(a,1),2702(a,1,1))]. 2705 1 / (1 / L(L(x \ 1,y,z),u,w)) = L(L(1 / x,y,z),u,w). [para(2697(a,1),2695(a,1,1)),flip(a)]. 2706 L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) \ 1. [para(62(a,1),2700(a,1,1,1,1)),flip(a)]. 2707 L((((x \ y) \ z) \ 1) \ 1,x \ y,x) = ((y \ (x * z)) \ 1) \ 1. [para(450(a,1),2706(a,2,1,1))]. 2708 (x \ y) * K(y \ x,x \ y) = 1 / (1 / (x \ y)). [hyper(236,a,2463,a,b,2703,a(flip)),flip(a)]. 2709 L(x \ y,y \ x,x \ y) = 1 / (1 / (x \ y)). [hyper(236,a,1700,a,b,2703,a(flip)),flip(a)]. 2710 L(1 / (x \ y),x \ y,x) \ (1 / (x \ y)) = (1 / (x \ y)) * ((1 / (1 / (y \ x))) \ 1). [para(2703(a,1),1211(a,1,2,1)),flip(a)]. 2711 x * K(x \ y,(x \ y) \ 1) = y * (1 / (1 / (y \ x))). [para(2709(a,1),1888(a,1,2)),flip(a)]. 2712 K((x \ y) \ 1,x \ y) = K(y \ x,x \ y). [hyper(17,a,1738,a,b,2708,a),flip(a)]. 2713 K(((x * y) \ x) \ 1,(x * y) \ x) = K(y,(x * y) \ x). [hyper(236,a,660,a(flip),b,2712,a)]. 2714 x * K(y \ x,x \ y) = y * (((y \ x) \ 1) \ 1). [para(2712(a,1),2289(a,1,2))]. 2715 T(1 / (1 / L(x,y,z)),1 / x) = L(x,y,z). [para(65(a,1),2699(a,2,1))]. 2716 T(T(1 / (1 / L(x,y,z)),u),1 / x) = T(L(x,y,z),u). [para(2715(a,1),38(a,1,1)),flip(a)]. 2717 x * K(x \ y,y \ x) = y * (1 / (1 / (y \ x))). [para(2282(a,1),2711(a,1,2))]. 2718 (x * (1 / (1 / (x \ y)))) / y = K(y \ x,1 / (x / y)). [para(2711(a,1),2372(a,1,1))]. 2719 (x / y) * K(y,y \ 1) = x * (1 / (1 / (x \ (x / y)))). [para(2285(a,1),2717(a,1,2))]. 2720 L(K(x,x \ 1),x,y) = K(x,(y * x) \ y). [hyper(236,a,2539,a,b,2713,a(flip)),flip(a)]. 2721 (x * y) * K(y,(x * y) \ x) = x * T(y,(x * y) \ x). [para(2713(a,1),1255(a,1,2))]. 2722 L(K(x,x \ 1),x,y) = K(x,x \ 1). [hyper(236,a,2280,a(flip),b,2720,a)]. 2723 K(x,(y * x) \ y) \ 1 = K((y * x) \ y,x). [para(2720(a,1),2607(a,2,1)),flip(a)]. 2725 L(K(x \ 1,x),1 / x,y) = K(1 / x,(1 / x) \ 1). [para(1800(a,1),2722(a,1,1))]. 2726 K((x * y) \ x,y) = K(y \ 1,y). [hyper(236,a,2284,a(flip),b,2723,a(flip))]. 2728 K(T(x,y) \ 1,T(x,y)) = K((x * y) \ y,T(x,y)). [para(119(a,1),2726(a,1,1,1)),flip(a)]. 2729 K(L(x \ 1,x,y),x) = K(x \ 1,x). [para(158(a,2),2726(a,1,1))]. 2730 K((x * y) \ y,y \ (x * y)) = K(T(x,y) \ 1,T(x,y)). [para(32(a,1),2728(a,2,2)),flip(a)]. 2731 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(1166(a,1),2728(a,2,1,1))]. 2732 L(K(x \ 1,x),1 / x,y) = K(x \ 1,x). [hyper(236,a,1800,a(flip),b,2725,a)]. 2734 (x / (y \ 1)) * (1 / y) = x / K(y \ 1,y). [para(2732(a,1),1441(a,1,2)),flip(a)]. 2735 (x * K(y \ 1,y)) / (y \ 1) = x / (1 / y). [hyper(74,a,15,a(flip),b,2734,a),flip(a)]. 2737 (x / (1 / y)) * (y \ 1) = x * K(y \ 1,y). [para(2735(a,1),16(a,1,1))]. 2738 (x * (y \ 1)) / (1 / y) = x * K(y \ 1,y). [hyper(1197,a,2737,a)]. 2739 (x / (y \ 1)) * K(y \ 1,y) = x / (1 / y). [hyper(1194,a,2737,a),flip(a)]. 2740 (x * (1 / y)) * K(y \ 1,y) = x * (y \ 1). [para(15(a,1),2737(a,1,1)),flip(a)]. 2741 (x * K(y \ 1,y)) * (1 / y) = x * (y \ 1). [para(2738(a,1),16(a,1,1))]. 2742 K(x \ 1,x) * (y / (x \ 1)) = y / (1 / x). [hyper(2528,a,2739,a)]. 2744 K(x \ 1,x) * (y * (1 / x)) = y * (x \ 1). [hyper(2528,a,2740,a)]. 2745 R(x,1 / y,K(y \ 1,y)) = x. [hyper(1440,a,2740,a)]. 2747 R(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1769(a,1),2745(a,1,3))]. 2748 (x * K(y,y \ 1)) / y = x / (1 / (1 / y)). [hyper(236,a,2538,a(flip),b,2747,a(flip)),flip(a)]. 2749 (x * (1 / (1 / y))) * K(y,y \ 1) = x * y. [para(2747(a,1),2537(a,1,1)),flip(a)]. 2751 (x / y) * K(y,y \ 1) = x / (1 / (1 / y)). [hyper(236,a,1834,a(flip),b,2748,a(flip)),flip(a)]. 2752 K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = (y * (1 / (1 / K(x,(x / (y \ 1)) / x)))) / ((x * y) / x). [para(1548(a,2),2718(a,1,1,2,2,2)),flip(a)]. 2753 x * (1 / (1 / (x \ (x / y)))) = x / (1 / (1 / y)). [hyper(236,a,2751,a(flip),b,2719,a(flip))]. 2754 1 / (1 / (x \ (x / y))) = x \ (x / (1 / (1 / y))). [hyper(72,a,2751,a(flip),b,2719,a(flip)),flip(a)]. 2755 (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(137(a,1),2719(a,1,1)),flip(a)]. 2756 x / (1 / (1 / (y \ x))) = x * (1 / (1 / (x \ y))). [para(62(a,1),2753(a,1,2,2,2,2)),flip(a)]. 2757 (x / (1 / (1 / y))) / x = 1 / (1 / ((x / y) / x)). [para(2753(a,1),2553(a,1,1))]. 2758 1 / (1 / (x \ (x / (y \ 1)))) = x \ (x / (1 / y)). [para(62(a,1),2754(a,2,2,2,2))]. 2759 (x \ (x / (1 / (1 / y)))) \ 1 = 1 / (x \ (x / y)). [para(2754(a,1),65(a,1,1))]. 2760 x / (1 / (1 / ((x * y) \ x))) = x * (1 / (1 / y)). [para(13(a,1),2756(a,2,2,2,2))]. 2761 (x * (1 / (1 / (x \ y)))) \ x = 1 / (1 / (y \ x)). [para(2756(a,1),65(a,1,1))]. 2762 1 / (1 / ((x / (y \ 1)) / x)) = (x / (1 / y)) / x. [para(62(a,1),2757(a,1,1,2,2)),flip(a)]. 2763 1 / (x \ (x / ((y \ 1) \ 1))) = (x \ (x / y)) \ 1. [para(139(a,1),2759(a,1,1,2,2)),flip(a)]. 2764 ((x * (1 / (1 / y))) \ x) \ 1 = 1 / ((x * y) \ x). [para(2760(a,1),144(a,1,1,1))]. 2765 x / L(y,y \ 1,x) = x * (1 / (1 / (y \ 1))). [para(2704(a,2),2760(a,1,2))]. 2766 x / L(y,y \ 1,x) = x * (1 / y). [para(62(a,1),2765(a,2,2,2))]. 2767 L(x,x \ 1,y) = (y * (1 / x)) \ y. [para(2766(a,1),65(a,1,1)),flip(a)]. 2768 K(x \ (x / L(y,y \ 1,x)),z) = K(1 / y,z). [para(2766(a,2),660(a,1,1,2))]. 2769 L(1 / x,x,y) = (y * (1 / (1 / x))) \ y. [para(65(a,1),2767(a,1,2))]. 2770 (1 / x) \ ((y * (1 / (1 / x))) \ y) = x * ((y * x) \ y). [hyper(72,a,2769,a(flip),b,854,a)]. 2771 L(x * T(x \ 1,y),x \ 1,y) = K(1 / x,y). [hyper(236,a,2379,a,b,2768,a(flip)),flip(a)]. 2772 L((1 / x) * T((1 / x) \ 1,y),x,y) = K(1 / (1 / x),y). [para(65(a,1),2771(a,1,2))]. 2773 (x * (1 / (1 / T(y,x)))) \ x = 1 / (1 / ((y * x) \ x)). [para(32(a,2),2761(a,1,1,2,2,2))]. 2774 1 / ((x / (y \ 1)) / x) = ((x / (1 / y)) / x) \ 1. [para(2762(a,1),65(a,1,1)),flip(a)]. 2775 ((x \ (x / y)) \ 1) \ 1 = x \ (x / ((y \ 1) \ 1)). [para(2763(a,1),65(a,1,1))]. 2776 x * (((x \ (x / y)) \ 1) \ 1) = x / ((y \ 1) \ 1). [para(2763(a,1),142(a,1,2,1))]. 2777 1 / ((x * (y \ 1)) \ x) = ((x * (1 / y)) \ x) \ 1. [para(62(a,1),2764(a,1,1,1,2,2)),flip(a)]. 2778 T(x \ (x / y),y) = x \ (x / ((y \ 1) \ 1)). [hyper(236,a,2286,a,b,2775,a(flip)),flip(a)]. 2779 x * T(x \ (x / y),y) = x / ((y \ 1) \ 1). [para(2778(a,2),14(a,1,2))]. 2780 T(x \ (x / (1 / y)),1 / y) = x \ (x / (y \ 1)). [para(65(a,1),2778(a,2,2,2,1))]. 2781 x * (y \ (y / ((x \ 1) \ 1))) = (y \ (y / x)) * x. [para(2778(a,1),119(a,1,2))]. 2782 x \ (x / T(y,y \ 1)) = T(x \ (x / y),y). [para(120(a,2),2778(a,2,2,2)),flip(a)]. 2783 x * T(x \ (x / y),y) = x / T(y,y \ 1). [hyper(236,a,644,a,b,2779,a)]. 2784 K(x \ 1,x) * (y / x) = y / ((x \ 1) \ 1). [hyper(236,a,2541,a,b,2779,a(flip)),flip(a)]. 2785 (x / y) * K(y \ 1,y) = x / T(y,y \ 1). [hyper(2568,a,2783,a)]. 2786 (x / T(y,y \ 1)) * y = x * K(y \ 1,y). [para(2785(a,1),1433(a,1,1))]. 2787 (x * T(y,y \ 1)) * K(y \ 1,y) = x * y. [para(15(a,1),2786(a,1,1)),flip(a)]. 2788 (x / ((y \ 1) \ 1)) * y = x * K(y \ 1,y). [para(120(a,1),2786(a,1,1,2))]. 2789 K(x \ 1,x) * (y * T(x,x \ 1)) = y * x. [hyper(2528,a,2787,a)]. 2790 x * K(y \ 1,y) != z * y | z * T(y,y \ 1) = x. [para(2787(a,1),20(a,1)),flip(a)]. 2791 (x * ((y \ 1) \ 1)) * K(y \ 1,y) = x * y. [para(120(a,1),2787(a,1,1,2))]. 2792 (x * T(y,y \ 1)) * (y \ 1) = (x * y) * (1 / y). [para(2787(a,1),2741(a,1,1)),flip(a)]. 2793 T(x * ((y \ 1) \ 1),z) * K(y \ 1,y) = (y \ T(y * x,z)) * y. [para(943(a,1),2788(a,1,1)),flip(a)]. 2794 (x * K(y \ 1,y)) * ((y \ 1) \ 1) = x * y. [hyper(18,a,1435,a(flip),b,2791,a)]. 2795 (x * (y \ 1)) * ((y \ 1) \ 1) = R(x,y \ 1,y). [hyper(791,a,2791,a(flip)),flip(a)]. 2796 (K(x \ 1,x) * y) * ((x \ 1) \ 1) = y * x. [para(2516(a,2),2794(a,1,1))]. 2797 (x * (y \ 1)) * ((y \ 1) \ 1) = (x * (1 / y)) * y. [para(2740(a,1),2794(a,1,1))]. 2798 R(x,y \ 1,(y \ 1) \ 1) = R(x,y \ 1,y). [hyper(477,a,2795,a)]. 2799 (x * ((y / z) \ 1)) * T(y / z,z / y) = R(x,(y / z) \ 1,y / z). [para(2145(a,2),2795(a,1,2))]. 2800 x / (((y \ x) \ 1) \ 1) = x * (((x \ y) \ 1) \ 1). [para(62(a,1),2776(a,1,2,1,1,2)),flip(a)]. 2801 (((x * (1 / y)) \ x) \ 1) \ 1 = (x * (y \ 1)) \ x. [para(2777(a,1),65(a,1,1))]. 2802 ((x / (x * y)) * y) * (1 / y) = (y * (x / (x * y))) * (y \ 1). [para(2574(a,1),2792(a,1,1)),flip(a)]. 2803 x \ R(y,x \ 1,x) = T(y * (1 / x),x). [hyper(394,a,2795,a(flip),b,2797,a(flip)),flip(a)]. 2804 (x * (1 / y)) * y = R(x,y \ 1,y). [hyper(236,a,2795,a(flip),b,2797,a(flip))]. 2805 R(x,y \ 1,y) / y = x * (1 / y). [hyper(74,a,2795,a(flip),b,2797,a(flip))]. 2806 R(x,1 / y,y) = R(x,y \ 1,y). [hyper(697,a,2804,a)]. 2807 R(x / (1 / y),y \ 1,y) = x * y. [hyper(303,a,2804,a),flip(a)]. 2809 R(x,y \ 1,y) \ (x * (1 / y)) != z | L(y \ 1,y,x * (1 / y)) = z. [para(2804(a,1),383(a,1,1))]. 2810 x \ R(x,y \ 1,y) = a(x,1 / y,y). [para(2804(a,1),160(a,1,2))]. 2811 R(x * K(y \ 1,y),y \ 1,y) = (x * (y \ 1)) * y. [para(2741(a,1),2804(a,1,1)),flip(a)]. 2812 R(T(x / (1 / y),z),y \ 1,y) = T(x * y,z). [hyper(236,a,579,a(flip),b,2806,a(flip))]. 2813 R(x,(y \ 1) \ 1,y \ 1) = R(x,y,y \ 1). [para(62(a,1),2806(a,1,2)),flip(a)]. 2814 (x * (1 / y)) * y != z | R(x,y \ 1,y) = z. [para(2805(a,1),221(a,1,1)),flip(b)]. 2816 T(x * y,x \ (1 / y)) = R(((x / (1 / y)) \ 1) \ 1,y \ 1,y). [para(2582(a,1),2812(a,1,1)),flip(a)]. 2817 (((x * y) \ x) \ 1) \ 1 = (x * ((y \ 1) \ 1)) \ x. [para(62(a,1),2801(a,1,1,1,1,2))]. 2818 ((x * (1 / y)) \ x) * (1 / y) = (1 / y) * ((x * (y \ 1)) \ x). [para(2801(a,1),2306(a,1,2)),flip(a)]. 2819 (((x * (y / (x * y))) \ x) \ 1) \ 1 = ((y / (x * y)) * x) \ x. [para(2149(a,1),2817(a,2,1))]. 2820 R(((x \ (x / (y \ 1))) * x) * K(y \ 1,y),y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(1423(a,1),2811(a,2,1))]. 2821 (x * y) * K(y,y \ 1) = x * T(y,(x * y) \ x). [para(2280(a,1),2721(a,1,2))]. 2822 (x * y) * K(y,y \ 1) = x * ((y \ 1) \ 1). [para(2275(a,1),2821(a,2,2))]. 2823 (x * y) * K(y,y \ 1) = x * T(y,y \ 1). [para(2276(a,1),2821(a,2,2))]. 2825 (x / y) * ((y \ 1) \ 1) = x * K(y,y \ 1). [hyper(303,a,2822,a),flip(a)]. 2826 (x * K(y,y \ 1)) * y = x * ((y \ 1) \ 1). [hyper(236,a,1829,a,b,2822,a(flip)),flip(a)]. 2827 (x * y) * K(T(x,y),T(x,y) \ 1) = y * ((T(x,y) \ 1) \ 1). [para(119(a,1),2822(a,1,1))]. 2830 K(x,x \ 1) * (y * x) = y * T(x,x \ 1). [hyper(2502,a,2823,a)]. 2831 (x / y) * T(y,y \ 1) = x * K(y,y \ 1). [hyper(303,a,2823,a),flip(a)]. 2833 (x / T(y,z)) * T((y \ 1) \ 1,z) = x * K(T(y,z),T(y,z) \ 1). [para(2479(a,1),2825(a,1,2))]. 2834 (T(x,y) \ 1) * K(x,x \ 1) = (T(x,y) \ x) / x. [hyper(74,a,2554,a(flip),b,2826,a),flip(a)]. 2835 (x / T(y,y \ 1)) * K(y,y \ 1) = x / y. [hyper(74,a,313,a(flip),b,2826,a),flip(a)]. 2836 (x / ((y \ 1) \ 1)) * K(y,y \ 1) = x / y. [hyper(74,a,16,a(flip),b,2826,a),flip(a)]. 2837 (x * (y \ 1)) * K(y,y \ 1) = x * (1 / y). [hyper(18,a,2797,a(flip),b,2826,a)]. 2838 (K(x \ 1,x) * y) * K(x,x \ 1) = y. [hyper(18,a,2796,a(flip),b,2826,a)]. 2839 K(x \ 1,x) * (y * K(x,x \ 1)) = y. [hyper(18,a,2796,a,b,2826,a(flip)),flip(a)]. 2840 (x * K(y,y \ 1)) * K(y \ 1,y) = x. [hyper(18,a,2794,a,b,2826,a(flip)),flip(a)]. 2843 (K(x,x \ 1) * y) * x = y * ((x \ 1) \ 1). [para(2500(a,2),2826(a,1,1))]. 2844 K(x,x \ 1) * (K(x \ 1,x) * y) = y. [hyper(2502,a,2838,a)]. 2845 K(x \ 1,x) * (y * x) = y * (1 / (1 / x)). [hyper(18,a,2749,a,b,2838,a)]. 2846 K(x \ 1,x) * (K(x,x \ 1) * y) = y. [hyper(18,a,2500,a(flip),b,2838,a)]. 2847 K(x \ 1,x) * (y / (x * y)) = R(x \ 1,x,y). [hyper(2137,a,2838,a(flip)),flip(a)]. 2848 x * K(y,y \ 1) != z | K(y \ 1,y) * z = x. [para(2838(a,1),20(a,1)),flip(a)]. 2849 ((x \ 1) * (x * y)) * K(x,x \ 1) = L(y,x,x \ 1). [para(446(a,1),2838(a,1,1))]. 2850 T(x,K(x \ 1,x) * y) = T(x,y). [para(2838(a,1),2354(a,1,2)),flip(a)]. 2851 (x / (1 / y)) * K(y,y \ 1) = x / (y \ 1). [para(2742(a,1),2838(a,1,1))]. 2852 x / K(y \ 1,y) = x * K(y,y \ 1). [hyper(74,a,2839,a(flip),b,2516,a(flip))]. 2853 K(x \ 1,x) * y != z | z * K(x,x \ 1) = y. [para(2839(a,1),19(a,1)),flip(a)]. 2854 L((x * K(y,y \ 1)) \ z,x * K(y,y \ 1),K(y \ 1,y)) = x \ (K(y \ 1,y) * z). [para(2839(a,1),105(a,2,1))]. 2855 x * K(y \ 1,y) != z | z * K(y,y \ 1) = x. [para(2839(a,1),2520(a,1)),flip(a),flip(b)]. 2856 (x / y) * y = (x * K(z,z \ 1)) * K(z \ 1,z). [hyper(236,a,16,a,b,2840,a),flip(a)]. 2857 (K(x,x \ 1) * y) * K(x \ 1,x) = y. [para(2500(a,2),2840(a,1,1))]. 2858 K(x,x \ 1) * (y * K(x \ 1,x)) = y. [hyper(2523,a,2844,a)]. 2859 K(x \ 1,x) \ y = K(x,x \ 1) * y. [hyper(307,a,2844,a),flip(a)]. 2860 K(x,x \ 1) * y != z | K(x \ 1,x) * z = y. [para(2844(a,1),19(a,1)),flip(a)]. 2861 K(x,x \ 1) * (y / (1 / x)) = y / (x \ 1). [para(2742(a,1),2844(a,1,2))]. 2862 K(x,x \ 1) * (y * (x \ 1)) = y * (1 / x). [para(2744(a,1),2844(a,1,2))]. 2863 K(x \ 1,x) * y != z | K(x,x \ 1) * z = y. [para(2846(a,1),19(a,1)),flip(a)]. 2864 x * K(y \ 1,y) != z | K(y,y \ 1) * z = x. [para(2846(a,1),2520(a,1)),flip(a),flip(b)]. 2865 (x / (y \ 1)) * (1 / y) = x * K(y,y \ 1). [hyper(236,a,2734,a,b,2852,a(flip)),flip(a)]. 2866 (x * K(y \ 1,y)) * K(y,y \ 1) != z | z = x. [para(2852(a,1),296(a,1))]. 2867 R((x * K(y,y \ 1)) / z,z,K(y \ 1,y)) != u | x / (z * K(y \ 1,y)) = u. [para(2852(a,1),563(a,1,1,1))]. 2868 R((K(x,x \ 1) * y) / z,z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(2857(a,1),114(a,2,1))]. 2869 K(x,x \ 1) * y != z | z * K(x \ 1,x) = y. [para(2858(a,1),19(a,1)),flip(a)]. 2870 K(x \ 1,x) * T(K(x,x \ 1) * y,z) = (x \ T(x * (y / x),z)) * x. [para(2859(a,1),2340(a,1,2,1))]. 2871 K(x \ 1,x) * L(K(x,x \ 1) * (y * x),z,u) = (x \ L(x * y,z,u)) * x. [para(2859(a,1),2425(a,1,2,1))]. 2872 K(x \ 1,x) * R(K(x,x \ 1) * (y * x),z,u) = (x \ R(x * y,z,u)) * x. [para(2859(a,1),2426(a,1,2,1))]. 2873 (x * y) * (y \ 1) = R(x,y,1 / y). [hyper(1776,a,2837,a(flip)),flip(a)]. 2874 ((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(2837(a,1),468(a,1,1))]. 2875 R(x,y,1 / y) / (y \ 1) = x * y. [hyper(87,a,2873,a)]. 2876 T(R(x,y,1 / y),z) / (y \ 1) = T(x,z) * y. [hyper(74,a,42,a(flip),b,2873,a)]. 2877 R(x,y,1 / y) != z | R(x,y,y \ 1) = z. [para(2873(a,1),477(a,1))]. 2878 (K(x,x \ 1) * y) * x = y * T(x,x \ 1). [hyper(236,a,257,a,b,2843,a)]. 2881 K(1 / T(x,y),(1 / T(x,y)) \ 1) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). [para(2482(a,1),2861(a,1,2,2))]. 2882 K(x,x \ 1) * y != z * (1 / x) | z * (x \ 1) = y. [para(2862(a,1),19(a,1)),flip(a)]. 2883 (x / (1 / (1 / y))) / (1 / y) = (x / y) / (y \ 1). [hyper(74,a,2751,a(flip),b,2865,a)]. 2884 (K(x,x \ 1) * y) * x = K(x,x \ 1) * (y * x). [hyper(236,a,2830,a,b,2878,a)]. 2885 K(x / (y * x),y) = K(y \ 1,y). [hyper(18,a,2157,a,b,2847,a),flip(a)]. 2886 K((x / y) \ 1,x / y) = K(y / x,x / y). [para(16(a,1),2885(a,1,1,2)),flip(a)]. 2888 K((x / (y * x)) \ 1,x / (y * x)) = K(y,x / (y * x)). [para(15(a,1),2886(a,2,1))]. 2889 K((x / y) \ 1,x / y) != z | K(y / x,(y / x) \ 1) = z. [para(2886(a,2),2624(a,1))]. 2890 K(x,T(x,y) \ 1) = K(x,x \ 1). [hyper(17,a,2112,a,b,2834,a),flip(a)]. 2892 T(K(x,x \ 1),y) = K(x,T(x,z) \ 1). [hyper(236,a,2497,a,b,2890,a),flip(a)]. 2894 K(x,T(x,y) \ 1) != z | K(x,x \ 1) = z. [para(2892(a,1),223(a,1)),flip(b)]. 2895 T(K(T(x,y),1 / x),z) = K(T(x,y),T(T(x,y),u) \ 1). [para(2474(a,1),2892(a,1,1))]. 2897 L(x,y,K(x,x \ 1)) = x. [hyper(436,a,2884,a)]. 2898 L(1 / x,y,K(x \ 1,x)) = 1 / x. [para(1800(a,1),2897(a,1,3))]. 2899 L(T(1 / x,y),z,K(x \ 1,x)) = T(1 / x,y). [para(2898(a,1),40(a,2,1))]. 2900 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(T(x,y) \ 1,T(x,y)). [para(2730(a,1),2714(a,1,2)),flip(a)]. 2901 L((x * ((y * x) \ y)) \ z,(1 / x) \ ((y * (1 / (1 / x))) \ y),1 / x) = ((y * (1 / (1 / x))) \ y) \ ((1 / x) * z). [para(2770(a,1),450(a,1,1,1))]. 2902 (x * T(1 / (1 / y),x)) \ x = 1 / (1 / ((y * x) \ x)). [para(2482(a,1),2773(a,1,1,2))]. 2903 K((x / (y * x)) \ 1,x / (y * x)) = K(y,y \ 1). [hyper(236,a,2621,a(flip),b,2888,a)]. 2905 K(x,x \ 1) * (x * y) = T(x,x \ 1) * y. [para(2903(a,1),2143(a,1,1))]. 2906 (x * y) * K(x,x \ 1) = T(x,x \ 1) * y. [hyper(2506,a,2905,a)]. 2907 T(x,x \ 1) \ (K(x,x \ 1) * y) = x \ y. [hyper(551,a,2905,a)]. 2908 L(x,y,K(y,y \ 1)) = x. [hyper(1747,a,2905,a(flip))]. 2909 (T(x,x \ 1) * y) / (K(x,x \ 1) * y) = x. [hyper(74,a,2905,a(flip),b,1857,a(flip))]. 2912 L(x,K(y \ 1,y),1 / y) = x. [hyper(236,a,1895,a(flip),b,2908,a(flip)),flip(a)]. 2913 L(x,1 / y,K(1 / y,y)) = x. [para(65(a,1),2908(a,1,3,2))]. 2914 L(x,1 / y,K(y \ 1,y)) = x. [para(1800(a,1),2908(a,1,3))]. 2916 (1 / x) * (K(x \ 1,x) * y) = (x \ 1) * y. [para(2912(a,1),1439(a,1,2)),flip(a)]. 2917 L(x,1 / (1 / y),K(y,y \ 1)) = x. [para(1802(a,1),2913(a,1,3))]. 2918 K(x \ 1,x) * ((x \ 1) \ y) = (1 / x) \ y. [hyper(236,a,2114,a(flip),b,2914,a(flip)),flip(a)]. 2919 K(x \ 1,x) * ((1 / x) * y) = (x \ 1) * y. [para(2914(a,1),1743(a,1,2)),flip(a)]. 2920 L(x \ y,x,x \ 1) = (1 / x) * y. [para(2914(a,1),1889(a,1,1,2))]. 2921 K(x,x \ 1) * ((1 / (1 / x)) * y) = x * y. [para(2917(a,1),1791(a,1,2)),flip(a)]. 2922 L((x \ 1) \ y,x \ 1,(x \ 1) \ 1) = x * y. [hyper(236,a,134,a(flip),b,2920,a)]. 2923 (1 / x) * (x * y) = L(y,x,x \ 1). [para(13(a,1),2920(a,1,1)),flip(a)]. 2924 L(T(x,y),y,y \ 1) = (1 / y) * (x * y). [para(32(a,2),2920(a,1,1))]. 2925 L((x \ 1) * y,x,x \ 1) = (1 / x) * L(y,x \ 1,x). [para(392(a,1),2920(a,1,1))]. 2926 L(x,y,1 / y) = L(x,y,y \ 1). [hyper(449,a,2923,a)]. 2927 (1 / x) \ L(y,x,x \ 1) = x * y. [hyper(80,a,2923,a)]. 2928 L(x \ y,x,x \ 1) != z | (1 / x) * y = z. [para(2923(a,1),307(a,1))]. 2929 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = L(K(x,y),y * x,1 / y). [para(2923(a,1),253(a,1,1))]. 2930 L(x,y \ 1,(y \ 1) \ 1) = L(x,y \ 1,y). [para(62(a,1),2926(a,1,3)),flip(a)]. 2931 (1 / (1 / x)) \ L(y,1 / x,x) = (1 / x) * y. [para(65(a,1),2927(a,1,2,3))]. 2932 (1 / x) * (x * y) != z | L(y,x,x \ 1) = z. [para(2927(a,1),216(a,1,2)),flip(b)]. 2933 x * ((1 / x) * (y * x)) = L(y,x,x \ 1) * x. [para(2924(a,1),181(a,1,2))]. 2934 (x * y) * K(x,x \ 1) = ((x \ 1) \ 1) * y. [hyper(236,a,256,a(flip),b,2906,a)]. 2936 x \ (K(x \ 1,x) * y) = T(x,x \ 1) \ y. [para(2844(a,1),2907(a,1,2)),flip(a)]. 2937 x \ (y * K(x \ 1,x)) = T(x,x \ 1) \ y. [para(2858(a,1),2907(a,1,2)),flip(a)]. 2938 R(x,K(x,x \ 1),y) = x. [hyper(1825,a,2909,a)]. 2939 T(x,x \ 1) * y != x * z | K(x,x \ 1) * y = z. [para(2909(a,1),81(a,1,1)),flip(a),flip(b)]. 2940 R(1 / x,K(x \ 1,x),y) = 1 / x. [para(1800(a,1),2938(a,1,2))]. 2941 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(2940(a,1),2391(a,1,1)),flip(a)]. 2945 (x \ 1) * (y * T(x,x \ 1)) = (1 / x) * (y * x). [para(2789(a,1),2916(a,1,2)),flip(a)]. 2946 (x \ 1) * (K(x,x \ 1) * y) = (1 / x) * y. [para(2846(a,1),2916(a,1,2)),flip(a)]. 2947 K(x,x \ 1) * ((1 / x) \ y) = (x \ 1) \ y. [hyper(2863,a,2918,a)]. 2948 ((1 / x) \ y) * K(x,x \ 1) = (x \ 1) \ y. [hyper(2853,a,2918,a)]. 2949 ((x \ 1) \ y) * K(x \ 1,x) = (1 / x) \ y. [hyper(2521,a,2918,a)]. 2951 (x \ 1) \ (K(x \ 1,x) * y) = (1 / x) \ y. [hyper(236,a,1897,a,b,2918,a(flip)),flip(a)]. 2952 (x \ 1) * ((1 / x) \ y) = K(x \ 1,x) * y. [para(2918(a,1),1896(a,1,2))]. 2954 (1 / x) \ y != z | ((x \ 1) \ y) * K(x \ 1,x) = z. [para(2918(a,1),2521(a,1))]. 2955 K(x,x \ 1) * ((x \ 1) * y) = (1 / x) * y. [hyper(2863,a,2919,a)]. 2956 ((x \ 1) * y) * K(x,x \ 1) = (1 / x) * y. [hyper(2853,a,2919,a)]. 2957 ((1 / x) * y) * K(x \ 1,x) = (x \ 1) * y. [hyper(2521,a,2919,a)]. 2958 ((x * K(y \ 1,y)) * ((1 / y) * z)) / ((y \ 1) * z) = R(x,K(y \ 1,y),(1 / y) * z). [para(2919(a,1),30(a,2,2)),flip(a)]. 2959 ((x \ 1) * y) / L(T(1 / x,y),y,K(x \ 1,x)) = K(x \ 1,x) * y. [para(2919(a,1),431(a,1,1))]. 2960 ((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(2919(a,1),440(a,1,1))]. 2962 T(x,(1 / x) * y) = T(x,(x \ 1) * y). [para(2919(a,1),2850(a,1,2)),flip(a)]. 2963 T(x \ 1,((x \ 1) \ 1) * y) = T(x \ 1,x * y). [para(62(a,1),2962(a,1,2,1)),flip(a)]. 2964 (x * y) * K(x \ 1,x) = (1 / (1 / x)) * y. [hyper(2869,a,2921,a)]. 2965 K(x \ 1,x) * (x * y) = (1 / (1 / x)) * y. [hyper(2860,a,2921,a)]. 2966 K(x,x \ 1) * ((y \ (1 / (1 / x))) * y) = x * K(y \ (1 / (1 / x)),y). [para(249(a,1),2921(a,1,2))]. 2967 K(x \ 1,x) * (((x \ 1) \ 1) * y) = x * y. [hyper(2848,a,2934,a)]. 2968 x * (y * K(x,x \ 1)) = ((x \ 1) \ 1) * y. [hyper(236,a,2350,a(flip),b,2934,a(flip)),flip(a)]. 2969 x \ (K(x \ 1,x) * y) = ((x \ 1) \ 1) \ y. [hyper(236,a,637,a(flip),b,2936,a)]. 2970 ((1 / x) \ y) * (1 / x) = ((x \ 1) \ y) * (x \ 1). [para(2949(a,1),2741(a,1,1))]. 2971 (x \ 1) * ((1 / x) \ y) = y * K(x \ 1,x). [hyper(236,a,2516,a(flip),b,2952,a)]. 2972 K(x \ 1,x) * ((y * ((1 / x) * z)) / y) = (x \ 1) * (x * ((y * (x \ z)) / y)). [para(1127(a,1),2952(a,1,2)),flip(a)]. 2973 x \ L(y,1 / x,x) = (x \ 1) * y. [hyper(1861,a,2955,a)]. 2974 (x * ((1 / y) * z)) / L((y \ 1) * z,K(y,y \ 1),x) = x * K(y,y \ 1). [para(2955(a,1),137(a,1,1,2))]. 2975 (x * K(y,y \ 1)) \ (x * ((1 / y) * z)) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(2955(a,1),447(a,1,2,2))]. 2976 L(x,1 / y,y) = L(x,y \ 1,y). [hyper(795,a,2973,a)]. 2977 L(x,(y \ 1) \ 1,y \ 1) = L(x,y,y \ 1). [para(62(a,1),2976(a,1,2)),flip(a)]. 2978 (1 / x) * (y * K(1 / x,(1 / x) \ 1)) = (x \ 1) * y. [hyper(236,a,2352,a,b,2957,a(flip)),flip(a)]. 2979 ((x \ y) * z) * K(y \ x,x \ y) = (1 / (1 / (x \ y))) * z. [para(2712(a,1),2964(a,1,2))]. 2980 ((1 / (1 / x)) * y) * (1 / x) = (x * y) * (x \ 1). [para(2964(a,1),2741(a,1,1))]. 2981 (1 / (1 / x)) * (x \ y) = K(x \ 1,x) * y. [hyper(307,a,2965,a),flip(a)]. 2982 x * (K(x \ 1,x) * y) = (1 / (1 / x)) * y. [hyper(236,a,1430,a(flip),b,2965,a(flip)),flip(a)]. 2983 x * (((x \ 1) \ 1) \ y) = K(x \ 1,x) * y. [hyper(307,a,2967,a),flip(a)]. 2984 ((x \ 1) \ 1) * (K(x \ 1,x) * y) = x * y. [hyper(17,a,1430,a,b,2967,a)]. 2985 x * K(y \ 1,y) != y * z | ((y \ 1) \ 1) * z = x. [para(2967(a,1),2520(a,1)),flip(a),flip(b)]. 2986 (((x \ 1) \ 1) \ y) * K(x,x \ 1) = x \ y. [hyper(72,a,14,a(flip),b,2968,a),flip(a)]. 2987 ((x \ 1) \ 1) * (y / ((x \ 1) \ 1)) = x * (y / x). [para(2836(a,1),2968(a,1,2)),flip(a)]. 2988 ((x \ 1) \ 1) * ((x \ 1) * y) = x * ((1 / x) * y). [para(2956(a,1),2968(a,1,2)),flip(a)]. 2989 (x \ 1) \ (K(x,x \ 1) * y) = (((x \ 1) \ 1) \ 1) \ y. [para(1804(a,1),2969(a,1,2,1))]. 2990 ((x \ 1) \ 1) \ ((x \ 1) \ y) = x \ ((1 / x) \ y). [para(2918(a,1),2969(a,1,2)),flip(a)]. 2991 L(((x \ 1) \ 1) \ y,x,x \ 1) = (x \ 1) * y. [hyper(537,a,2977,a),flip(a)]. 2992 (1 / (1 / x)) * (x \ (y * x)) = y * (1 / (1 / x)). [hyper(236,a,2845,a(flip),b,2981,a)]. 2993 K(x \ 1,x) * ((1 / (1 / x)) \ y) = x \ y. [hyper(72,a,14,a(flip),b,2982,a),flip(a)]. 2994 x * (((x \ 1) \ 1) \ y) = y * K(x \ 1,x). [hyper(236,a,2516,a(flip),b,2983,a)]. 2995 K(x \ 1,x) * (x \ y) = ((x \ 1) \ 1) \ y. [hyper(17,a,1429,a,b,2983,a),flip(a)]. 2996 ((x \ 1) \ 1) \ (x * y) = K(x \ 1,x) * y. [hyper(17,a,1430,a(flip),b,2983,a)]. 2997 ((x \ 1) \ 1) \ (x * y) = y * K(x \ 1,x). [hyper(72,a,2984,a(flip),b,2522,a(flip))]. 2998 (x * y) \ ((K(x \ 1,x) * y) * ((x \ 1) \ 1)) = K(K(x \ 1,x) * y,(x \ 1) \ 1). [para(2984(a,1),26(a,2,1)),flip(a)]. 3000 K(x,x \ 1) * (((x \ 1) \ 1) \ y) = x \ y. [hyper(2502,a,2986,a)]. 3001 (((x \ 1) \ 1) \ y) * ((x \ 1) \ 1) = (x \ y) * x. [para(2986(a,1),2826(a,1,1)),flip(a)]. 3002 (x \ y) * K(x \ 1,x) = ((x \ 1) \ 1) \ y. [para(2986(a,1),2840(a,1,1))]. 3003 (x \ y) * K(x,x \ 1) = (1 / (1 / x)) \ y. [hyper(2853,a,2993,a)]. 3004 ((1 / (1 / x)) \ y) * x = (x \ y) * ((x \ 1) \ 1). [para(2993(a,1),2796(a,1,1)),flip(a)]. 3005 x * K(y \ 1,y) != y * z | ((y \ 1) \ 1) \ x = z. [para(2994(a,1),19(a,1))]. 3006 L(x,((y \ 1) \ 1) \ 1,(y \ 1) \ 1) * K(y \ 1,y) = y * ((((y \ 1) \ 1) \ 1) * x). [para(392(a,1),2994(a,1,2)),flip(a)]. 3007 x * T(x \ (y \ x),y) = ((y \ 1) \ 1) \ x. [hyper(236,a,1106,a(flip),b,2995,a(flip)),flip(a)]. 3008 T(x \ (y \ x),y) = x \ (((y \ 1) \ 1) \ x). [hyper(72,a,2995,a(flip),b,1106,a(flip)),flip(a)]. 3010 ((1 / (1 / x)) \ y) / (1 / x) = (x \ y) / (x \ 1). [hyper(74,a,3003,a(flip),b,2865,a)]. 3011 x * (((x \ (y \ x)) \ 1) \ 1) = ((y \ 1) \ 1) \ x. [para(2576(a,1),3007(a,1,2))]. 3012 T(x \ ((1 / y) \ x),1 / y) = x \ ((y \ 1) \ x). [para(65(a,1),3008(a,2,2,1,1))]. 3013 L(x * K(y \ 1,y),y,y \ 1) = (y \ 1) * (y * x). [para(2997(a,1),2991(a,1,1))]. 3015 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 / (1 / x))) * y) * (1 / x). [para(249(a,1),2980(a,1,1)),flip(a)]. 3016 (1 / x) * ((y * (x \ 1)) \ y) = x \ ((y * (x \ 1)) \ y). [hyper(2293,a,2988,a),flip(a)]. 3017 T(x,1 / (1 / y)) = T(x,y). [hyper(168,a,2992,a(flip),b,116,a(flip))]. 3019 T(x,1 / y) = T(x,y \ 1). [para(62(a,1),3017(a,1,2,2))]. 3020 T(x,(y \ 1) \ 1) = T(x,y). [para(139(a,1),3017(a,1,2)),flip(a)]. 3021 T(x,L(1 / y,y,z)) = T(x,(z * y) \ z). [para(2702(a,2),3017(a,1,2))]. 3023 T(x \ (x / (1 / y)),y \ 1) = x \ (x / (y \ 1)). [hyper(236,a,2780,a(flip),b,3019,a(flip))]. 3024 (1 / x) * T(y,x \ 1) = y * (1 / x). [para(3019(a,1),119(a,1,2))]. 3026 T(T(x,y),K(z,z \ 1)) = T(x,(y \ 1) \ 1). [hyper(236,a,2498,a,b,3020,a),flip(a)]. 3027 ((x \ 1) \ 1) * T(y,x) = y * ((x \ 1) \ 1). [para(3020(a,1),119(a,1,2))]. 3028 x * T(y,(x \ 1) \ 1) = y * x. [para(3020(a,2),119(a,1,2))]. 3029 T(x,T(y,y \ 1)) = T(x,y). [para(120(a,2),3020(a,1,2))]. 3030 T(x,R(y \ 1,y,z)) = T(x,z / (y * z)). [para(2148(a,2),3020(a,1,2))]. 3032 T(x,T(1 / y,z)) = T(x,T(y \ 1,z)). [para(2483(a,1),3020(a,1,2)),flip(a)]. 3033 T(x,T(y \ (z \ y),z)) = T(x,y \ (z \ y)). [para(2576(a,2),3020(a,1,2))]. 3036 T(x,x \ 1) * T(y,x) = y * T(x,x \ 1). [para(3029(a,1),119(a,1,2))]. 3037 T(K(x,y),y \ 1) = K(x,y). [hyper(17,a,2230,a(flip),b,3024,a)]. 3039 T(x \ 1,K(y,x)) = x \ 1. [hyper(35,a,3037,a)]. 3041 K(x,y \ 1) * y = y * K(x,y \ 1). [para(3037(a,1),3028(a,1,2)),flip(a)]. 3042 T((x * y) \ x,K(z,y)) = L(y \ 1,y,x). [para(3039(a,1),351(a,2,1))]. 3044 T(x,R(1 / y,y,z)) = T(x,R(y \ 1,y,z)). [para(159(a,2),3030(a,2,2)),flip(a)]. 3046 T(x \ y,K(z,y \ x)) = L((y \ x) \ 1,y \ x,y). [para(14(a,1),3042(a,1,1,1))]. 3047 ((x \ 1) \ 1) * T(y,x) = y * T(x,x \ 1). [hyper(236,a,257,a,b,3027,a)]. 3049 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R((x \ 1) * T(x,x \ 1),y,z). [para(3036(a,1),2647(a,2,1))]. 3050 (x * ((y * (x \ 1)) / y)) * y = T(y,R(x \ 1,x,y)). [hyper(236,a,1341,a,b,3044,a(flip)),flip(a)]. 3051 T(x / (1 / (1 / y)),1 / (1 / y)) / (1 / y) = (y \ x) / (y \ 1). [para(121(a,2),3010(a,1,1))]. 3052 (x \ y) * K(x \ 1,x) = y * (((y \ (x \ y)) \ 1) \ 1). [hyper(236,a,3002,a,b,3011,a),flip(a)]. 3053 (((x / y) \ 1) \ 1) \ x = x * (((x \ y) \ 1) \ 1). [para(65(a,1),3011(a,1,2,1,1,2)),flip(a)]. 3054 ((x * y) * z) * (((((x * y) * z) \ (y * z)) \ 1) \ 1) = ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z). [para(143(a,1),3011(a,1,2,1,1,2))]. 3055 1 / (x \ ((y \ 1) \ x)) = (x \ ((1 / y) \ x)) \ 1. [para(3012(a,1),2577(a,1,2))]. 3056 x / (x * (((x \ y) \ 1) \ 1)) = ((x / y) \ 1) \ 1. [para(3053(a,1),62(a,1,2))]. 3057 (x \ ((1 / (1 / y)) \ x)) \ 1 = 1 / (x \ (y \ x)). [para(65(a,1),3055(a,1,2,2,1)),flip(a)]. 3058 x / (x * ((y \ 1) \ 1)) = ((x / (x * y)) \ 1) \ 1. [para(13(a,1),3056(a,1,2,2,1,1))]. 3059 x / ((((y / x) \ 1) \ 1) * x) = ((x / y) \ 1) \ 1. [para(2492(a,2),3056(a,1,2))]. 3060 1 / (1 / (x \ (y \ x))) = x \ ((1 / (1 / y)) \ x). [para(3057(a,1),62(a,1,2))]. 3061 T(x / (x * y),y) = x / (x * ((y \ 1) \ 1)). [hyper(236,a,2583,a,b,3058,a),flip(a)]. 3062 x / (x * T(y,y \ 1)) = T(x / (x * y),y). [para(120(a,2),3061(a,2,2,2)),flip(a)]. 3063 T(x / (x * y),y) \ x = x * T(y,y \ 1). [para(3062(a,1),65(a,1,1))]. 3064 x / (((y \ 1) \ 1) * x) = ((x / (y * x)) \ 1) \ 1. [para(15(a,1),3059(a,1,2,1,1,1))]. 3065 x * (1 / (1 / (x \ (y \ x)))) = (1 / (1 / y)) \ x. [para(3060(a,2),14(a,1,2))]. 3066 R(x \ 1,x,y) = y / (((x \ 1) \ 1) * y). [hyper(236,a,2148,a,b,3064,a),flip(a)]. 3067 R(x \ 1,(x \ 1) \ 1,y) = R(x \ 1,x,y). [hyper(236,a,156,a,b,3066,a),flip(a)]. 3068 T(R(x \ 1,x,y),((x \ 1) \ 1) * y) = (((x \ 1) \ 1) * y) \ y. [para(3066(a,2),121(a,1,1))]. 3069 x / (T(y,y \ 1) * x) = R(y \ 1,y,x). [para(120(a,2),3066(a,2,2,1)),flip(a)]. 3070 ((1 / (1 / x)) \ y) / y = 1 / (1 / ((x \ y) / y)). [para(3065(a,1),2553(a,1,1))]. 3071 1 / (1 / (((x \ 1) \ y) / y)) = ((1 / x) \ y) / y. [para(62(a,1),3070(a,1,1,1,2)),flip(a)]. 3072 ((((1 / x) \ y) / y) \ 1) \ 1 = ((x \ 1) \ y) / y. [para(3071(a,1),144(a,1,1,1))]. 3073 L((x \ 1) * ((1 / x) \ y),x,x \ 1) = (x \ 1) * (x * y). [para(2971(a,2),3013(a,1,1))]. 3074 T(x \ y,K(z,y \ x)) = x \ y. [hyper(236,a,347,a(flip),b,3046,a)]. 3075 K(x,y \ z) * (z \ y) = (z \ y) * K(x,y \ z). [para(3074(a,1),119(a,1,2))]. 3076 x * ((x * (((x * y) * (x \ 1)) / (x * y))) * y) = T(x * y,R(x \ 1,x,x * y)). [hyper(236,a,2220,a(flip),b,3050,a(flip)),flip(a)]. 3078 K(T(x,y),T(T(x,y),z) \ 1) = K(T(x,y),1 / T(x,u)). [hyper(236,a,2466,a,b,2895,a(flip))]. 3080 1 / (1 / ((x * y) \ y)) = ((1 / (1 / x)) * y) \ y. [hyper(518,a,2902,a),flip(a)]. 3081 (((1 / (1 / x)) * y) \ y) \ 1 = 1 / ((x * y) \ y). [para(3080(a,1),65(a,1,1))]. 3082 1 / (((x \ 1) * y) \ y) = (((1 / x) * y) \ y) \ 1. [para(62(a,1),3081(a,1,1,1,1,2)),flip(a)]. 3083 ((((1 / x) * y) \ y) \ 1) \ 1 = ((x \ 1) * y) \ y. [para(3082(a,1),65(a,1,1))]. 3084 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = ((y \ 1) * (y * x)) \ (y * x). [para(2923(a,1),3083(a,1,1,1,1))]. 3085 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(2925(a,2),2250(a,1,1))]. 3086 K(((x \ y) \ y) \ 1,(x \ y) \ y) = K(x \ 1,x). [hyper(17,a,2289,a,b,3052,a),flip(a)]. 3087 K(T(x,y),T(x,y) \ 1) = K(T(x,y),1 / T(x,z)). [hyper(2894,a,3078,a)]. 3089 K(T(x,y),T(x,y) \ 1) = K(T(x,y),x \ 1). [para(197(a,1),3087(a,2,2))]. 3090 K(T(x,y),1 / x) = K(T(x,y),x \ 1). [hyper(236,a,2474,a(flip),b,3089,a(flip)),flip(a)]. 3091 (x * y) * (1 / (1 / ((x * y) \ z))) = x * (y * (1 / (1 / (y \ (x \ z))))). [para(2698(a,1),103(a,1,2))]. 3092 L(T(x,y) / x,x,y) = K(1 / (1 / x),y). [para(1591(a,1),2772(a,1,1))]. 3093 K(1 / (1 / x),y) = (x * K(x,y)) / x. [hyper(236,a,821,a(flip),b,3092,a(flip))]. 3094 T(K(1 / (1 / x),y),x) = K(x,y). [para(3093(a,2),162(a,1,1))]. 3095 T(K(1 / (x \ 1),y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(197(a,1),3094(a,1,1,1,2))]. 3096 T(K(x,y),T(x,x \ 1)) = K(T(x,x \ 1),y). [para(62(a,1),3095(a,1,1,1))]. 3097 K(T(x,x \ 1),y) = T(K(x,y),x). [hyper(236,a,3029,a(flip),b,3096,a(flip))]. 3098 T(K(x,y),x) = K((x \ 1) \ 1,y). [para(120(a,1),3097(a,1,1)),flip(a)]. 3099 (1 / (1 / x)) * (y / (y * x)) = (y / (y * x)) * x. [hyper(18,a,2980,a,b,2802,a),flip(a)]. 3100 T(1 / (1 / x),y / (y * x)) = x. [hyper(168,a,3099,a,b,xx)]. 3102 T(1 / (1 / x),(y / x) / y) = x. [para(16(a,1),3100(a,1,2,2))]. 3103 (1 / (1 / x)) \ (((y / x) / y) * x) = (y / x) / y. [para(3102(a,1),164(a,1,2,2))]. 3104 (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(1706(a,2),3103(a,1,2))]. 3105 ((x * (1 / y)) \ x) * (1 / y) = y \ ((x * (y \ 1)) \ x). [hyper(236,a,3016,a(flip),b,2818,a)]. 3106 ((1 / (x / (y * x))) \ 1) \ 1 = ((x / (y * x)) * y) \ y. [para(2152(a,1),2819(a,1,1,1))]. 3107 ((x / (y * x)) * y) \ y = (x / (y * x)) \ 1. [para(65(a,1),3106(a,1,1)),flip(a)]. 3109 L(1 / (x \ ((y / (x * y)) * x)),x \ ((y / (x * y)) * x),x) = 1 / (1 / ((y / (x * y)) \ 1)). [para(3107(a,1),2703(a,2,2,2))]. 3110 (x * y) * K(T(x,y),1 / x) = y * ((T(x,y) \ 1) \ 1). [para(2474(a,1),2827(a,1,2))]. 3111 (x * y) * K(T(x,y),1 / x) = ((x \ 1) \ 1) * y. [hyper(236,a,2484,a(flip),b,3110,a)]. 3112 (x * y) * K(T(x,y),x \ 1) = ((x \ 1) \ 1) * y. [para(3090(a,1),3111(a,1,2))]. 3113 K(T(x,y),x \ 1) = K(x,x \ 1). [hyper(17,a,2934,a,b,3112,a)]. 3115 K(T(x,y),T(x,y) \ 1) = K(x,x \ 1). [hyper(236,a,3089,a,b,3113,a(flip)),flip(a)]. 3119 T(x,y) \ K(x,x \ 1) = 1 / T(x,y). [hyper(72,a,3115,a(flip),b,1770,a(flip))]. 3120 (x * (T(y,z) \ 1)) * K(y,y \ 1) = x * (1 / T(y,z)). [para(3115(a,1),2837(a,1,2))]. 3122 (T(x,y) \ x) / x = 1 / T(x,y). [hyper(236,a,2499,a(flip),b,3119,a(flip)),flip(a)]. 3123 (1 / x) * (T(x,y) \ x) = 1 / T(x,y). [hyper(236,a,2205,a,b,3122,a(flip)),flip(a)]. 3124 (1 / T(x,y)) * x = T(x,y) \ x. [para(3122(a,1),16(a,1,1))]. 3125 ((T(x,y) \ x) / x) \ 1 = T(x,y). [para(3122(a,2),65(a,1,1))]. 3126 T(1 / T(x,y),x) = T(x,y) \ 1. [para(3122(a,1),1008(a,1,1))]. 3127 x / T(x,y) = T(x,y) \ x. [hyper(1163,a,3124,a)]. 3129 (T(x,y) \ x) * T(x,y) = x. [para(3127(a,1),16(a,1,1))]. 3130 (T(x,y) \ x) \ x = T(x,y). [para(3127(a,1),65(a,1,1))]. 3132 L(x,T(x,y) \ x,x) = x. [hyper(236,a,2248,a,b,3129,a(flip)),flip(a)]. 3134 (x * y) * T(K(y,x),x) = y * x. [para(3132(a,1),2247(a,1,2)),flip(a)]. 3135 K(x \ 1,x) / T(x,y) = T(x,y) \ 1. [hyper(236,a,2548,a,b,3126,a(flip)),flip(a)]. 3136 T(K(x,y),y) = K(x,y). [hyper(251,a,3134,a),flip(a)]. 3137 T(x,K(y,x)) = x. [hyper(35,a,3136,a)]. 3138 K(x,y) * y = y * K(x,y). [para(3136(a,1),119(a,1,2)),flip(a)]. 3139 (x * K(y,x)) / x = K(y,x). [para(3136(a,1),163(a,1,1,2))]. 3140 (x * K(y,x)) / x != z | K(y,x) = z. [para(3136(a,1),300(a,1,1,2)),flip(b)]. 3141 L(K(x,y),z,u) * y = y * L(K(x,y),z,u). [para(3136(a,1),181(a,1,2,1)),flip(a)]. 3142 K(x,K(y,x)) = 1. [hyper(36,a,3137,a)]. 3143 T(x * y,K(z,x * y)) != x * u | u = y. [para(3137(a,2),19(a,2)),flip(a)]. 3144 T(T(x,y),K(z,x)) = T(x,y). [para(3137(a,1),38(a,1,1)),flip(a)]. 3145 T(x,y) * K(z,x) = K(z,x) * T(x,y). [para(3137(a,1),180(a,1,2,1)),flip(a)]. 3146 L(x,y,z) * K(u,x) = K(u,x) * L(x,y,z). [para(3137(a,1),181(a,1,2,1)),flip(a)]. 3147 R(x,y,z) * K(u,x) = K(u,x) * R(x,y,z). [para(3137(a,1),182(a,1,2,1)),flip(a)]. 3148 K(x,y) * T(y,z) != u | T(y,z) * K(x,y) = u. [para(3137(a,1),368(a,1,2,1))]. 3149 T(x,y \ T(y,x)) = x. [para(1043(a,1),3137(a,1,2))]. 3150 T(x,x \ ((y * x) / y)) = x. [para(1256(a,1),3137(a,1,2))]. 3151 T(x,T(K(y,x),z)) = x. [para(2061(a,1),3137(a,1,2))]. 3153 (x \ T(x,y)) * y = y * (x \ T(x,y)). [para(3149(a,1),119(a,1,2))]. 3154 (x \ T(x,y)) * T(y,z) != u | T(y,z) * (x \ T(x,y)) = u. [para(3149(a,1),368(a,1,2,1))]. 3155 (x * K(y,x)) * L(z,x,K(y,x)) = K(y,x) * (x * z). [para(3138(a,1),103(a,1,1))]. 3156 (((x / y) * K(z,x / y)) * y) / x = R(K(z,x / y),x / y,y). [para(3138(a,1),115(a,1,1,1))]. 3158 (x * K(y,z)) * z != u * (z * K(y,z)) | R(x,K(y,z),z) = u. [para(3138(a,1),467(a,2,2))]. 3159 L(K(x,y),y,1 / y) = K(x,y). [hyper(236,a,2330,a,b,3139,a(flip)),flip(a)]. 3160 L((T(x,y) * (x \ y)) / y,y,x) = K(T(x,y),y). [hyper(236,a,1131,a,b,3139,a(flip)),flip(a)]. 3162 R(K(x,y),y,(y * K(x,y)) \ z) \ z = y * ((y * K(x,y)) \ z). [para(3139(a,1),489(a,1,1,1))]. 3163 T(K(x,y),T(y,z)) = K(x,y). [hyper(35,a,3144,a)]. 3164 ((x * y) / x) / y = y \ ((x * y) / x). [para(3150(a,1),197(a,1,2))]. 3165 K(K(x,y),T(y,z)) = 1. [hyper(36,a,3163,a)]. 3166 K(x \ T(x,y),T(y,z)) = 1. [para(1043(a,1),3165(a,1,1))]. 3167 T(x \ T(x,y),T(y,z)) = x \ T(x,y). [hyper(37,a,3166,a)]. 3168 (1 / x) * (x * K(y,x)) = K(y,x). [hyper(772,a,3159,a)]. 3169 (1 / x) \ K(y,x) = x * K(y,x). [hyper(72,a,3159,a(flip),b,430,a)]. 3170 (x \ 1) * K(y,x \ 1) = x \ K(y,x \ 1). [hyper(72,a,3168,a(flip),b,134,a(flip)),flip(a)]. 3171 K(x \ 1,x) * K(y,x) = (x \ 1) * (x * K(y,x)). [para(3168(a,1),2919(a,1,2))]. 3172 ((x \ 1) \ K(y,x)) * K(x \ 1,x) = x * K(y,x). [hyper(2954,a,3169,a)]. 3174 (T(x,y) \ 1) * T(x,y) = K(x \ 1,x). [para(3135(a,1),16(a,1,1))]. 3175 (1 / x) * ((y * x) / y) = x \ ((y * x) / y). [hyper(236,a,1318,a,b,3164,a(flip)),flip(a)]. 3176 x * (((y * x) / y) / x) = (y * x) / y. [para(3164(a,2),14(a,1,2))]. 3177 R(x,y,z) \ (((u / x) * R(x,y,z)) / (u / x)) = R(u / (u / x),y,z) / R(x,y,z). [para(823(a,1),3164(a,1,1)),flip(a)]. 3178 K(T(x,y) \ 1,T(x,y)) = K(x \ 1,x). [hyper(314,a,3174,a)]. 3181 (x \ 1) * (x * ((y * (x \ 1)) / y)) = (y * (x \ 1)) / y. [para(1319(a,1),3176(a,1,2))]. 3182 T(x,y) * K(x \ 1,x) = T(1 / (1 / x),y). [para(3178(a,1),2488(a,1,2))]. 3183 K(x \ 1,x) * (y * T(x,z)) = y * (1 / (1 / T(x,z))). [para(3178(a,1),2845(a,1,1))]. 3184 T(x,y) * (K(x \ 1,x) * z) = (1 / (1 / T(x,y))) * z. [para(3178(a,1),2982(a,1,2,1))]. 3185 T(x,L(K(y,x),z,u)) = x. [hyper(169,a,3141,a)]. 3186 T(K(x,y),L(y,z,u)) = K(x,y). [hyper(169,a,3146,a)]. 3187 R(x,y,z) * u != K(w,x) * R(x,y,z) | K(w,x) = u. [para(3147(a,1),19(a,1)),flip(a)]. 3188 (x \ R(x,y,z)) / R(x,y,z) = x \ K(R(x,y,z),x \ 1). [hyper(2450,a,3170,a)]. 3189 T(1 / x,(y * x) / y) = x \ 1. [hyper(168,a,3175,a,b,1264,a)]. 3191 x * (T(x,y) / x) = T(x,y). [hyper(18,a,1901,a,b,3182,a),flip(a)]. 3193 T(x,y) / x = x \ T(x,y). [hyper(80,a,3191,a),flip(a)]. 3194 (x \ T(x,y)) * x = T(x,y). [para(3191(a,1),66(a,1,1,2))]. 3196 (1 / x) * T(x,y) = x \ T(x,y). [hyper(1600,a,3193,a)]. 3197 (1 / x) * T((1 / x) \ 1,y) = x \ T(x,y). [hyper(1599,a,3193,a)]. 3198 (x \ 1) \ T(x \ 1,y) = x * T(x \ 1,y). [hyper(1133,a,3193,a),flip(a)]. 3199 (x \ T(x,y)) * x != z | T(x,y) = z. [para(3193(a,1),221(a,1,1)),flip(b)]. 3200 R(x \ T(x,y),x,z) = (T(x,y) * z) / (x * z). [para(3193(a,1),114(a,1,1))]. 3201 R((x / y) \ T(x / y,z),x / y,y) = (T(x / y,z) * y) / x. [para(3193(a,1),485(a,1,1))]. 3205 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (T(y,x) / y)) \ z). [para(3193(a,1),2338(a,1,1,2))]. 3206 T(x,x \ T(x,y)) = x. [hyper(268,a,3194,a)]. 3207 T(x,R(1 / y,y,x)) = T(x,x / (x * y)). [hyper(236,a,1529,a,b,3194,a(flip)),flip(a)]. 3208 T(x,y) \ ((x \ T(x,y)) * (x * z)) = L(z,x,x \ T(x,y)). [para(3194(a,1),28(a,2,1)),flip(a)]. 3209 (x \ ((x \ y) \ y)) * x = T(x,x \ y). [para(120(a,1),3194(a,1,1,2))]. 3210 T(x,y) * L(z,x,x \ T(x,y)) = (x \ T(x,y)) * (x * z). [para(3194(a,1),103(a,1,1))]. 3211 R(x,y \ T(y,z),y) * T(y,z) = (x * (y \ T(y,z))) * y. [para(3194(a,1),113(a,1,2))]. 3212 (T(x,y) * z) / (x * z) != u | R(x \ T(x,y),x,z) = u. [para(3194(a,1),475(a,1,1,1))]. 3213 L(x,x \ T(x,y),x) = T(x,y) / (x \ T(x,y)). [para(3194(a,1),885(a,1,1)),flip(a)]. 3214 T(x,K(y \ (y / (x \ 1)),y)) = x. [para(1043(a,2),3206(a,1,2))]. 3215 T(1 / x,T(x,y)) = x \ 1. [hyper(168,a,3196,a,b,930,a)]. 3216 T(1 / (1 / x),T(1 / x,y)) = x. [hyper(236,a,65,a(flip),b,3215,a)]. 3218 T(x \ 1,T(x,y)) = T(x \ 1,x). [para(3215(a,1),183(a,1,1)),flip(a)]. 3219 T(x / (y * x),T(y,z)) = R(y \ 1,y,x). [para(3215(a,1),356(a,2,1))]. 3220 x * T(x \ 1,T(x,y)) = K(x \ 1,T(x,y)). [para(3215(a,1),1179(a,1,1)),flip(a)]. 3221 (((x * y) / x) \ y) \ y = (x * y) / x. [hyper(1096,a,3214,a)]. 3222 T(x,T(1 / x,y)) = T(x,x \ 1). [para(3216(a,1),1729(a,1,1)),flip(a)]. 3223 K(T(x,y) \ (T(x,y) / T(x,z)),T(x,y)) = T(x * T(x \ 1,x),z). [para(3218(a,1),2055(a,1,1,2)),flip(a)]. 3225 T(x,x \ 1) * T(x \ 1,y) = x * T(1 / x,y). [para(3222(a,1),1544(a,1,1))]. 3226 R(T(x,x \ 1),y,z) \ R(x,y,z) = (R(x,y,z) \ (R(x,y,z) / x)) * x. [para(3222(a,1),2417(a,1,1,1))]. 3227 (((x * y) / x) \ y) * ((x * y) / x) = y. [para(3221(a,1),14(a,1,2))]. 3228 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (R(x,y,z) * (x \ 1)) / R(x,y,z). [para(1071(a,1),3221(a,1,1,1,1))]. 3229 (((L(x,y,y \ 1) * y) / y) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(2933(a,1),3227(a,1,1,1,1))]. 3230 T(x,x / (y * x)) = T(x,x / (x * y)). [para(159(a,1),3207(a,1,2))]. 3234 L(x * T(x \ 1,y),x \ 1,y) = K(x \ 1,y). [para(3198(a,1),714(a,2,1)),flip(a)]. 3235 L(x * T(x \ 1,y),x \ 1,y) != z | K(x \ 1,y) = z. [para(3198(a,1),716(a,1,1))]. 3236 (x * T(x \ 1,y)) \ 1 = T(x \ 1,y) \ (x \ 1). [para(3198(a,1),2587(a,1,1))]. 3238 K(x \ 1,T(x,y)) = x * T(x \ 1,x). [para(3218(a,1),3220(a,1,2)),flip(a)]. 3239 K(x \ 1,T(x,y)) = K(x \ 1,x). [hyper(236,a,272,a(flip),b,3238,a)]. 3242 R(x \ T(x,y),K(x \ 1,x),z) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3239(a,1),961(a,1,1,2))]. 3243 L(x,x \ T(x,y),x) != z * u | z \ x = u. [para(3213(a,2),292(a,1))]. 3244 K(1 / x,y) = K(x \ 1,y). [hyper(236,a,2771,a(flip),b,3234,a(flip)),flip(a)]. 3245 K(1 / (1 / x),y) = K(x,y). [hyper(236,a,661,a(flip),b,3244,a)]. 3246 K(x \ 1,(1 / x) \ (y / x)) = (T(y,1 / x) / x) \ (y / x). [hyper(236,a,1612,a(flip),b,3244,a(flip))]. 3247 K((x \ 1) \ 1,y) = K(x,y). [para(62(a,1),3244(a,1,1)),flip(a)]. 3248 T(K(x,y),x) = K(x,y). [para(3245(a,1),3094(a,1,1))]. 3249 (((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)) = K(y,x). [hyper(2415,a,3248,a)]. 3250 T(x,K(x,y)) = x. [hyper(35,a,3248,a)]. 3251 K(x,y) * z != x * K(x,y) | z = x. [para(3248(a,1),170(a,1,2)),flip(a)]. 3252 R(K(x,y),z,u) * x = x * R(K(x,y),z,u). [para(3248(a,1),182(a,1,2,1)),flip(a)]. 3254 K(x,y) * x != z | x * K(x,y) = z. [para(3250(a,1),220(a,1,2))]. 3255 T(x,y) * K(x,z) = K(x,z) * T(x,y). [para(3250(a,1),180(a,1,2,1)),flip(a)]. 3256 L(x,y,z) * K(x,u) = K(x,u) * L(x,y,z). [para(3250(a,1),181(a,1,2,1)),flip(a)]. 3257 R(x,y,z) * K(x,u) = K(x,u) * R(x,y,z). [para(3250(a,1),182(a,1,2,1)),flip(a)]. 3259 K(x,y) * L(x,z,u) != w | L(x,z,u) * K(x,y) = w. [para(3250(a,1),369(a,1,2,1))]. 3260 T(x,y \ ((x * y) / x)) = x. [para(1548(a,1),3250(a,1,2))]. 3262 K(((1 / x) * y) \ y,z) = K(((x \ 1) * y) \ y,z). [para(3083(a,1),3247(a,1,1)),flip(a)]. 3263 T(x,T(y,x) \ y) = x. [para(163(a,1),3260(a,1,2,2))]. 3264 (T(x,y) \ x) * y = y * (T(x,y) \ x). [para(3263(a,1),119(a,1,2))]. 3266 T(K(x,y),T(x,z)) = K(x,y). [hyper(169,a,3255,a)]. 3268 T(x,y) * K(x,z) != u | K(x,z) * T(x,y) = u. [para(3266(a,1),220(a,1,2))]. 3269 T(x,R(T(y,x),T(y,x) \ 1,x)) = x * (T(y,x) \ y). [hyper(236,a,1537,a,b,3264,a(flip)),flip(a)]. 3270 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = (T(y,x) \ y) * x. [para(3264(a,1),2023(a,1,1,2,1))]. 3271 (x * y) * R(K(x * y,z),y,T(x,y)) = (K(x * y,z) * y) * T(x,y). [hyper(777,a,3252,a),flip(a)]. 3272 K(x,R(K(x,y),z,u)) = 1. [hyper(71,a,3252,a,b,95,a),flip(a)]. 3273 T(K(x,y),L(x,z,u)) = K(x,y). [hyper(169,a,3256,a)]. 3274 L(x,y,z) * R(K(x,u),w,v5) != v6 | R(K(x,u),w,v5) * L(x,y,z) = v6. [para(3273(a,1),370(a,1,2,1))]. 3275 T(K(x,y),R(x,z,u)) = K(x,y). [hyper(169,a,3257,a)]. 3280 ((x \ 1) \ 1) * K(y,x) = (x \ 1) \ K(y,x). [hyper(2985,a,3172,a)]. 3281 x * (K(y,x) * K(x,x \ 1)) = (x \ 1) \ K(y,x). [hyper(236,a,2968,a,b,3280,a(flip)),flip(a)]. 3282 K(x,x \ 1) * T(x \ 1,y) = T(1 / x,y). [hyper(2939,a,3225,a)]. 3283 ((x \ 1) \ 1) * T(x \ 1,y) = x * T(1 / x,y). [hyper(236,a,256,a(flip),b,3225,a(flip)),flip(a)]. 3284 (x * T(1 / x,y)) \ (((x \ 1) \ 1) * (T(x \ 1,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(3225(a,1),639(a,1,1))]. 3289 (T(x,y) \ T(x,z)) * K(x,x \ 1) = T(x,z) * (1 / T(x,y)). [para(1027(a,1),3120(a,1,1))]. 3292 K(x \ 1,x) * (y * T((x \ z) \ z,u)) = y * (1 / (1 / T((x \ z) \ z,u))). [para(3086(a,1),3183(a,1,1))]. 3293 T(x,y) * (K(x \ 1,x) * z) = T(1 / (1 / x),y) * z. [para(2482(a,1),3184(a,2,1))]. 3294 K(1 / x,y) != z | K(x \ 1,y) = z. [para(2771(a,1),3235(a,1))]. 3297 K(x \ 1,x) * (T(1 / (1 / x),y) \ z) = T(x,y) \ z. [hyper(72,a,14,a(flip),b,3293,a),flip(a)]. 3298 (T(x,y) \ z) * K(x,x \ 1) = T(1 / (1 / x),y) \ z. [hyper(2853,a,3297,a)]. 3299 ((x \ 1) \ 1) * (T(x,y) \ z) = x * (T(1 / (1 / x),y) \ z). [para(3297(a,1),2984(a,1,2))]. 3300 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / (1 / (x \ 1)),y) \ z. [para(1772(a,1),3298(a,1,2))]. 3301 x * ((x \ R(x,y,z)) / R(x,y,z)) = K(R(x,y,z),x \ 1). [para(3188(a,2),14(a,1,2))]. 3302 L(x * y,x \ T(x,z),x) = x * L(y,x,x \ T(x,z)). [para(3208(a,1),1019(a,1,2)),flip(a)]. 3303 x * L(x \ y,x,x \ T(x,z)) = L(y,x \ T(x,z),x). [para(14(a,1),3302(a,1,1)),flip(a)]. 3304 T(x * L(x \ ((y * z) / y),x,x \ T(x,y)),y) = (x \ T(x,y)) * (x * (T(x,y) \ z)). [hyper(236,a,2250,a,b,3210,a(flip)),flip(a)]. 3305 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(3301(a,1),1530(a,1,1)),flip(a)]. 3306 R(K(R(x,y,z),x \ 1),y,z) = K(R(x,y,z),R(x,y,z) \ 1). [para(3301(a,1),2658(a,1,1))]. 3307 ((x \ (x / y)) * z) * K(y,y \ 1) = (1 / (1 / (x \ (x / y)))) * z. [para(2285(a,1),2979(a,1,2))]. 3308 (x * (y \ T(y,x))) \ (x * z) = x * ((x * (y \ T(y,x))) \ z). [para(3193(a,1),3205(a,2,2,1,2))]. 3309 K(x \ 1,(1 / x) \ (y / x)) = (T(y,x \ 1) / x) \ (y / x). [para(3019(a,1),3246(a,2,1,1))]. 3310 (x * ((x * (T(y,x) \ y)) \ x)) \ (x * x) = x * (T(y,x) \ y). [hyper(236,a,3264,a(flip),b,3270,a)]. 3311 T(x,y) \ T(x,x \ 1) = x * (1 / T(x,y)). [hyper(18,a,2906,a,b,3289,a)]. 3312 T(x,y) \ ((x \ 1) \ 1) = x * (1 / T(x,y)). [hyper(658,a,3311,a)]. 3313 (x * (y \ T(y,x))) \ (x * z) != x * u | (x * (y \ T(y,x))) \ z = u. [para(3308(a,2),19(a,1))]. 3314 L(T((x \ y) \ z,z \ (x \ y)),x \ y,x) = ((y \ (x * z)) \ 1) \ 1. [para(2278(a,2),2707(a,1,1))]. 3315 R(T(x \ 1,((x \ 1) \ 1) * y),x,y) = (((x \ 1) \ 1) * y) \ y. [hyper(236,a,42,a,b,3068,a(flip)),flip(a)]. 3317 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(3162(a,2),939(a,1,1,2))]. 3318 R((x / y) \ T(x / y,z),x / y,y) = (y * T(y \ x,z)) / x. [para(405(a,1),3201(a,2,1))]. 3319 R(T(x \ 1,x * y),x,y) = (((x \ 1) \ 1) * y) \ y. [para(2963(a,1),3315(a,1,1))]. 3320 T((x * y) \ y,x) = (((x \ 1) \ 1) * y) \ y. [hyper(236,a,983,a(flip),b,3319,a(flip)),flip(a)]. 3321 (T(x,x \ 1) * y) \ y = T((x * y) \ y,x). [para(120(a,2),3320(a,2,1,1)),flip(a)]. 3323 (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(198(a,1),2833(a,1,1)),flip(a)]. 3324 (x * y) * ((((x * y) \ y) \ 1) \ 1) = y * K(x \ 1,x). [para(3178(a,1),2900(a,2,2))]. 3326 K(T(1 / T(x,y),T(x,z)),T(x,z)) = T(x * T(x \ 1,x),y). [para(1620(a,1),3223(a,1,1))]. 3327 K(T(1 / T(x,y),T(x,z)),T(x,z)) = T((x \ 1) * x,y). [para(119(a,1),3326(a,2,1))]. 3328 K(T(1 / T(x,y),T(x,z)),T(x,z)) = K(x \ 1,x). [hyper(236,a,2527,a(flip),b,3327,a)]. 3330 T(1 / T(x,y),T(x,z)) = K(x \ 1,x) / T(x,y). [para(3328(a,1),1624(a,1,1)),flip(a)]. 3331 T(1 / T(x,y),T(x,z)) = T(x,y) \ 1. [hyper(236,a,3135,a(flip),b,3330,a)]. 3333 K(T(x,y) \ 1,T(x,z)) = K(x \ 1,x). [para(3331(a,1),3328(a,1,1))]. 3343 (T(x \ 1,y) \ z) * K(x \ 1,x) = T(1 / x,y) \ z. [para(62(a,1),3300(a,2,1,1,2))]. 3344 K(x,x \ 1) * (T(1 / x,y) \ z) = T(x \ 1,y) \ z. [hyper(2864,a,3343,a)]. 3345 T(x \ 1,y) \ (T(1 / x,y) * z) = K(x,x \ 1) * z. [para(13(a,1),3344(a,1,2)),flip(a)]. 3346 T(x \ 1,y) * (K(x,x \ 1) * z) = T(1 / x,y) * z. [para(3345(a,1),14(a,1,2))]. 3347 T(x \ 1,y) * ((x \ 1) \ (K(x,x \ 1) * z)) = T(1 / x,y) * ((x \ 1) \ z). [para(1893(a,2),3346(a,1,2))]. 3348 T(1 / x,y) * ((1 / x) \ z) = T(x \ 1,y) * ((x \ 1) \ z). [para(2947(a,1),3346(a,1,2)),flip(a)]. 3349 (1 / x) * (T(x \ 1,y) * ((x \ 1) \ z)) = T(1 / x,y) * z. [para(3348(a,1),1001(a,1,2))]. 3350 (1 / x) * (T(x \ 1,y) * ((x \ 1) \ z)) != u * w | (T(1 / x,y) * z) / w = u. [para(3349(a,2),555(a,1))]. 3351 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (1 / (1 / (x \ (x / (y \ 1))))) * z. [para(1772(a,1),3307(a,1,2))]. 3352 x * (R(x,y \ 1,y) \ (1 / y)) = L(y \ 1,y,x * (1 / y)). [hyper(2809,a,1503,a),flip(a)]. 3353 ((x \ 1) * y) / T(1 / x,y) = K(x \ 1,x) * y. [para(2899(a,1),2959(a,1,2))]. 3354 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = ((1 / y) * T((1 / y) \ 1,(y \ 1) * x)) * x. [para(3353(a,1),2058(a,2,2,1,2)),flip(a)]. 3356 (x * y) * R(K(x * y,z),y,T(x,y)) = (K(y * T(x,y),z) * y) * T(x,y). [para(119(a,2),3271(a,2,1,1,1))]. 3357 T(x \ (y * z),z \ (y \ x)) = ((x \ (y * z)) \ 1) \ 1. [hyper(236,a,725,a(flip),b,3314,a(flip)),flip(a)]. 3358 T(a(x,y,z),z \ ((x * y) \ (x * (y * z)))) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(24(a,2),3357(a,1,1))]. 3359 (x * y) * (1 / (1 / ((x * y) \ (x * z)))) = x * (y * (1 / (1 / (y \ z)))). [para(13(a,1),3091(a,2,2,2,2,2,2))]. 3360 R(T(x,x \ 1),y,z) \ R(x,y,z) = T(1 / x,R(x,y,z)) * x. [para(1923(a,1),3226(a,2,1))]. 3362 R(T(x,x \ 1),y,z) \ R(x,y,z) != u | x * T(x \ 1,R(x,y,z)) = u. [para(3360(a,2),667(a,1))]. 3363 K(x \ 1,x) * L(y * T(x,x \ 1),z,u) = (x \ L(x * y,z,u)) * x. [para(2830(a,1),2871(a,1,2,1))]. 3364 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = (x \ L(x * (y / x),z,u)) * x. [para(2831(a,1),3363(a,1,2,1))]. 3365 K(x \ 1,x) * R(y * T(x,x \ 1),z,u) = (x \ R(x * y,z,u)) * x. [para(2830(a,1),2872(a,1,2,1))]. 3366 R((x \ (1 / (1 / y))) * x,1 / y,(1 / y) \ 1) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [hyper(236,a,395,a,b,3015,a),flip(a)]. 3367 K(x \ 1,x) * (y * T((x \ 1) \ 1,z)) = y * (1 / (T(x,z) \ 1)). [para(2477(a,1),3292(a,2,2,2))]. 3368 K(x \ 1,x) * (y * T((x \ 1) \ 1,z)) = y * T(x,z). [hyper(536,a,3367,a(flip)),flip(a)]. 3370 T(x \ 1,y) * ((((x \ 1) \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(2989(a,1),3347(a,1,2))]. 3371 T(x \ 1,y) * (T(x \ 1,(x \ 1) \ 1) \ z) = T(1 / x,y) * ((x \ 1) \ z). [para(120(a,2),3370(a,1,2,1))]. 3372 ((x \ (x / (y \ 1))) * z) * K(y \ 1,y) = (x \ (x / (1 / y))) * z. [para(2758(a,1),3351(a,2,1))]. 3373 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = R(1,y,z). [para(165(a,1),3049(a,2,1))]. 3374 K((x \ R(x,y,z)) \ (x \ 1),x \ R(x,y,z)) = 1. [hyper(236,a,334,a(flip),b,3373,a)]. 3377 ((x \ R(x,y,z)) \ (x \ 1)) * (x \ R(x,y,z)) = (x \ 1) * 1. [para(3374(a,1),249(a,1,2)),flip(a)]. 3378 (x \ 1) / (x \ R(x,y,z)) = (x \ R(x,y,z)) \ (x \ 1). [hyper(74,a,12,a(flip),b,3377,a)]. 3379 (x \ R(x,y,z)) \ (x \ 1) = R(x,y,z) \ 1. [hyper(236,a,2668,a(flip),b,3378,a(flip))]. 3380 (x \ 1) \ (R(x,y,z) \ 1) = (x \ R(x,y,z)) \ 1. [hyper(72,a,3379,a(flip),b,2317,a)]. 3381 ((1 / x) \ R(1 / x,y,z)) \ x = R(1 / x,y,z) \ 1. [para(65(a,1),3379(a,1,2))]. 3382 (x * R(x \ 1,y,z)) \ x = R(1 / x,y,z) \ 1. [para(1082(a,1),3381(a,1,1))]. 3383 R(1 / (1 / x),y,z) \ 1 = (R(x,y,z) / x) \ (1 / x). [para(1933(a,1),3382(a,1,1)),flip(a)]. 3384 T(x * y,R(x \ 1,x,x * y)) = x * ((x * y) * (y / (x * y))). [para(2176(a,1),3076(a,1,2)),flip(a)]. 3385 K(K(x \ 1,x) * y,(x \ 1) \ 1) = (x * y) \ (y * x). [para(2796(a,1),2998(a,1,2)),flip(a)]. 3386 K(K(x \ 1,x) * y,(x \ 1) \ 1) = K(y,x). [hyper(236,a,26,a,b,3385,a)]. 3387 K(K(x \ 1,x) * y,(x \ 1) \ 1) != z | K(y,x) = z. [para(3385(a,2),285(a,1))]. 3389 K(((x \ 1) \ 1) \ y,(x \ 1) \ 1) != z | K(x \ y,x) = z. [para(2995(a,1),3387(a,1,1))]. 3390 R(x / (x / y),z,u) / R(y,z,u) = R(y,z,u) \ R(x / (x / y),z,u). [para(823(a,1),3177(a,1,2)),flip(a)]. 3391 R(x,y,z) \ R(1 / (1 / x),y,z) = x * T(x \ 1,R(x,y,z)). [hyper(236,a,1808,a(flip),b,3390,a(flip))]. 3392 (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(2479(a,1),3323(a,2,2,1))]. 3393 (T(x,y) * z) * K(T(T(x,z),y),T(T(x,z),y) \ 1) = T((x \ 1) \ 1,y) * z. [hyper(236,a,180,a(flip),b,3392,a)]. 3394 (T(x,y) * z) * K(T(x,z),T(x,z) \ 1) = T((x \ 1) \ 1,y) * z. [para(3115(a,1),3393(a,1,2))]. 3395 (T(x,y) * z) * K(x,x \ 1) = T((x \ 1) \ 1,y) * z. [para(3115(a,1),3394(a,1,2))]. 3397 (1 / x) * (T(((1 / x) \ 1) \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(3395(a,1),2978(a,1,2))]. 3399 (1 / x) * (T(x \ 1,y) * z) = (x \ 1) * (T(1 / x,y) * z). [para(65(a,1),3397(a,1,2,1,1,1))]. 3400 (T(1 / x,y) * z) / (T(1 / x,y) * ((x \ 1) \ z)) = x \ 1. [hyper(3350,a,3399,a)]. 3401 K(x \ 1,x) * (T(1 / x,y) * z) = T(x \ 1,y) * z. [hyper(17,a,2916,a,b,3399,a),flip(a)]. 3402 ((x \ 1) \ 1) * (T(x \ 1,y) * z) = x * (T(1 / x,y) * z). [para(3401(a,1),2984(a,1,2))]. 3403 L(1 / (x \ y),x \ y,x) \ (1 / (x \ y)) = (1 / (x \ y)) * (1 / (y \ x)). [para(65(a,1),2710(a,2,2))]. 3405 L(x,y \ 1,(y \ 1) \ 1) * K(y \ 1,y) = y * ((((y \ 1) \ 1) \ 1) * x). [para(2977(a,1),3006(a,1,1))]. 3406 L(x,y \ 1,y) * K(y \ 1,y) = y * ((((y \ 1) \ 1) \ 1) * x). [para(2930(a,1),3405(a,1,1))]. 3407 ((x \ 1) \ 1) \ L(y,x \ 1,x) = (((x \ 1) \ 1) \ 1) * y. [hyper(3005,a,3406,a)]. 3409 T(L((x * y) / x,z \ T(z,x),z),x) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [para(3303(a,1),3304(a,1,1))]. 3410 L(x \ (x * y),z \ T(z,x),z) = (z \ T(z,x)) * (z * (T(z,x) \ y)). [hyper(817,a,3409,a)]. 3411 (x \ T(x,y)) * (x * (T(x,y) \ z)) = L(z,x \ T(x,y),x). [para(13(a,1),3410(a,1,1)),flip(a)]. 3412 (x \ T(x,y)) \ x = x * (T(x,y) \ x). [hyper(3243,a,3411,a(flip))]. 3413 (x \ T(x,y)) * T(y,T(x,y)) = L(y,x \ T(x,y),x). [para(1018(a,1),3411(a,1,2))]. 3414 x * (T(x,R(y,x,(y * x) \ x)) \ x) = (x \ (x * K(x,y))) \ x. [para(1559(a,1),3412(a,1,1,2)),flip(a)]. 3415 T(x,T(y,x)) * (y \ T(y,x)) = L(x,y \ T(y,x),y). [hyper(3154,a,3413,a)]. 3416 L(x,y \ T(y,x),y) != z | T(x,T(y,x)) * (y \ T(y,x)) = z. [para(3413(a,1),3154(a,1))]. 3417 x * (T(x,R(y,x,(y * x) \ x)) \ x) = K(x,y) \ x. [para(13(a,1),3414(a,2,1))]. 3419 x * (K(x,y) \ 1) = K(x,y) \ x. [para(2603(a,1),3417(a,1,2))]. 3420 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(236,a,1564,a(flip),b,3305,a)]. 3421 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(236,a,3230,a,b,3420,a(flip)),flip(a)]. 3422 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(236,a,42,a,b,3421,a(flip)),flip(a)]. 3423 R(x,y,z) * K(R(x,y,z),x \ 1) = R((x \ 1) \ 1,y,z). [para(2141(a,1),3422(a,1,1)),flip(a)]. 3424 R(x,y,z) \ R(T(x,x \ 1),y,z) = K(R(x,y,z),x \ 1). [hyper(72,a,990,a,b,3423,a)]. 3426 a(R(x,y,z),1 / x,x) = K(R(x,y,z),x \ 1). [hyper(236,a,1810,a(flip),b,3424,a(flip)),flip(a)]. 3427 R(T(x,x \ 1),y,z) \ R(x,y,z) = K(R(x,y,z),x \ 1) \ 1. [para(3424(a,1),2608(a,1,1)),flip(a)]. 3428 x * ((x \ R(x,y,z)) / R(x,y,z)) = a(R(x,y,z),1 / x,x). [hyper(236,a,3301,a,b,3426,a),flip(a)]. 3429 x * L(x \ 1,R(x,y,z),1 / x) = a(R(x,y,z),1 / x,x). [para(1967(a,2),3428(a,1,2))]. 3430 K(R(x,y,z),x \ 1) \ 1 != u | x * T(x \ 1,R(x,y,z)) = u. [para(3427(a,1),3362(a,1))]. 3431 T(a(x,y,z),z \ L(z,y,x)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(28(a,2),3358(a,1,2,2))]. 3432 T(a(x,y,z),z \ L(z,y,x)) = (a(x,y,z) \ 1) \ 1. [para(24(a,2),3431(a,2,1,1))]. 3433 K(T(x,y) \ 1,T(x,y)) * (z / T(1 / (1 / x),y)) = z / ((1 / T(x,y)) \ 1). [para(1800(a,1),2881(a,1,1))]. 3434 K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / ((1 / T(x,z)) \ 1). [para(3178(a,1),3433(a,1,1))]. 3435 K(x \ 1,x) * (y / T(1 / (1 / x),z)) = y / T(x,z). [para(65(a,1),3434(a,2,2))]. 3439 ((x \ 1) \ 1) * (y / T(x,z)) = x * (y / T(1 / (1 / x),z)). [para(3435(a,1),2984(a,1,2))]. 3440 (((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(1071(a,1),3228(a,2,1))]. 3441 L(1 / T(x / (y * x),y),y \ ((x / (y * x)) * y),y) = 1 / (1 / ((x / (y * x)) \ 1)). [para(32(a,2),3109(a,1,1,2))]. 3442 L(1 / R(x \ 1,x,y),x \ ((y / (x * y)) * x),x) = 1 / (1 / ((y / (x * y)) \ 1)). [para(630(a,1),3441(a,1,1,2))]. 3443 (x * T(1 / x,y)) \ (x * (T(1 / x,y) * z)) = L(z,T(x \ 1,y),(x \ 1) \ 1). [para(3402(a,1),3284(a,1,2))]. 3444 L(x,T(y \ 1,z),(y \ 1) \ 1) != u | L(x,T(1 / y,z),y) = u. [para(3443(a,1),447(a,1))]. 3445 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,T(x / y,T(y,x))). [para(1285(a,1),2731(a,2,1))]. 3446 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * ((y \ 1) * T((y \ 1) \ 1,x))) * y. [para(3372(a,1),2820(a,1,1))]. 3447 R((x \ (x / (1 / y))) * x,y \ 1,y) = (x * (y \ T(y,x))) * y. [para(927(a,1),3446(a,2,1,2))]. 3448 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = ((x * y) * (1 / z)) / (y * (1 / z)). [para(2837(a,1),2874(a,1,2)),flip(a)]. 3449 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) = R(x,y,1 / z). [hyper(236,a,30,a,b,3448,a)]. 3450 R(R(x,y,z \ 1),y * (z \ 1),K(z,z \ 1)) != u | R(x,y,1 / z) = u. [para(3448(a,2),475(a,1))]. 3451 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(120(a,2),3449(a,1,2,2))]. 3452 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,z)) = R(x,y,1 / (z \ 1)). [para(1772(a,1),3451(a,1,3))]. 3453 R(R(x,y,(z \ 1) \ 1),y * T(z,z \ 1),K(z \ 1,z)) = R(x,y,z). [para(62(a,1),3452(a,2,3))]. 3454 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = (1 / x) * T((1 / x) \ 1,y). [para(2940(a,1),2941(a,2,2,1,1))]. 3455 R((1 / x) * T((1 / x) \ 1,y),K(x \ 1,x),z) = x \ T(x,y). [hyper(236,a,3197,a(flip),b,3454,a)]. 3457 R(x \ T(x,y),K(x \ 1,x),z) = x \ T(x,y). [para(3197(a,1),3455(a,1,1))]. 3458 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,T(x,y)) * z. [para(3457(a,1),3242(a,1,1))]. 3459 (x \ T(x,y)) \ (((x \ 1) * T(x,y)) * z) = K(x \ 1,x) * z. [para(3239(a,1),3458(a,2,1))]. 3461 (x \ T(x,y)) * (K(x \ 1,x) * z) = ((x \ 1) * T(x,y)) * z. [para(3459(a,1),14(a,1,2))]. 3463 (x \ T(x,y)) * (z * K(x \ 1,x)) = ((x \ 1) * T(x,y)) * z. [hyper(2523,a,3461,a)]. 3464 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) = ((z \ 1) * y) \ ((z \ 1) * (y * x)). [para(2919(a,1),2960(a,1,2)),flip(a)]. 3465 L(L(x,y,1 / z),(1 / z) * y,K(z \ 1,z)) != u | L(x,y,z \ 1) = u. [para(3464(a,2),447(a,1))]. 3466 (L(x,y,y \ 1) \ ((1 / y) * (x * y))) * ((y * ((1 / y) * (x * y))) / y) = (1 / y) * (x * y). [para(15(a,1),3229(a,1,1,1))]. 3468 x * ((y * ((1 / y) * (z * y))) / y) != (1 / y) * (z * y) | L(z,y,y \ 1) \ ((1 / y) * (z * y)) = x. [para(3466(a,1),20(a,1)),flip(a)]. 3469 K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = (y * K(x,(x / (y \ 1)) / x)) / ((x * y) / x). [para(2304(a,1),2752(a,2,1,2))]. 3470 K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = ((x * y) / x) / ((x * y) / x). [para(1554(a,1),3469(a,2,1))]. 3471 K(((x * y) / x) \ y,1 / (y / ((x * y) / x))) = 1. [hyper(236,a,59,a(flip),b,3470,a)]. 3472 K(((x * y) / x) \ y,y \ ((x * y) / x)) = 1. [hyper(2597,a,3471,a)]. 3474 1 / (((x * y) / x) \ y) = (((x * y) / x) \ y) \ 1. [hyper(72,a,3472,a(flip),b,2294,a),flip(a)]. 3475 ((((x * y) / x) \ y) \ 1) \ 1 = ((x * y) / x) \ y. [para(3474(a,1),65(a,1,1))]. 3476 (x \ ((y * x) / y)) \ 1 = ((y * x) / y) \ x. [para(2596(a,1),3475(a,1,1))]. 3477 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ y = (y \ (y * (x * T(x \ 1,y)))) \ 1. [para(1997(a,1),3476(a,1,1,2)),flip(a)]. 3478 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ y = (x * T(x \ 1,y)) \ 1. [para(13(a,1),3477(a,2,1))]. 3479 ((L(x \ 1,x,y) * y) / L(x \ 1,x,y)) \ y = x \ (T(1 / x,y) \ 1). [hyper(236,a,2594,a(flip),b,3478,a)]. 3481 (x * (y * T(y \ 1,x))) \ x = y \ (T(1 / y,x) \ 1). [para(1997(a,1),3479(a,1,1))]. 3482 (x * (y * T(y \ 1,x))) \ 1 = x \ (y \ (T(1 / y,x) \ 1)). [para(3481(a,1),2326(a,1,2)),flip(a)]. 3483 x \ (((x * y) \ x) \ (T(1 / ((x * y) \ x),x) \ 1)) = (x * K(y,x)) \ 1. [para(1239(a,2),3482(a,1,1,2)),flip(a)]. 3484 x \ (((x * y) \ (x * T(x \ (x * y),x))) \ 1) = (x * K(y,x)) \ 1. [para(2595(a,1),3483(a,1,2))]. 3485 x \ (((x * y) \ (x * T(y,x))) \ 1) = (x * K(y,x)) \ 1. [para(13(a,1),3484(a,1,2,1,2,2,1))]. 3486 x \ (((x * y) \ (y * x)) \ 1) = (x * K(y,x)) \ 1. [para(119(a,1),3485(a,1,2,1,2))]. 3487 (x * K(y,x)) \ 1 = x \ (K(y,x) \ 1). [para(26(a,2),3486(a,1,2,1)),flip(a)]. 3488 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * L(T(1 / x,y) \ z,x \ 1,x). [para(3073(a,1),3085(a,1,1))]. 3489 x * K(((y \ 1) * x) \ (K(y \ 1,y) * x),(y \ 1) * x) = (y \ T(y,(y \ 1) * x)) * x. [para(3197(a,1),3354(a,2,1))]. 3490 R((x \ (1 / (1 / y))) * x,1 / y,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(65(a,1),3366(a,1,1,3))]. 3491 R((x \ (1 / (1 / y))) * x,y \ 1,y) / ((1 / y) \ 1) = (y * K(x \ (1 / (1 / y)),x)) * (y \ 1). [para(2806(a,1),3490(a,1,1))]. 3492 (((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),2034(a,2,2,1,1))]. 3493 (((x * y) * L((x * y) \ y,z,u)) * w) / (y * w) = R(x,y,w) * L(R(x,y,w) \ 1,z,u). [para(1654(a,1),3492(a,1,1))]. 3494 (((x * L(x \ 1,y,z)) * u) * w) / (u * w) = R(x,u,w) * L(R(x,u,w) \ 1,y,z). [para(1681(a,1),3493(a,1,1,1))]. 3495 R(x,y,z) * L(R(x,y,z) \ 1,u,w) = R(x * L(x \ 1,u,w),y,z). [hyper(475,a,3494,a),flip(a)]. 3496 R(x,y,z) * L(R(x,y,z) \ 1,x,1 / x) = R(x * T(1 / x,1),y,z). [para(723(a,1),3495(a,2,1,2))]. 3497 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(1926(a,1),3495(a,1,2))]. 3498 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * T(1 / x,1),y,z). [para(1508(a,1),3496(a,1,2))]. 3499 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(x * (1 / x),y,z). [para(145(a,1),3498(a,2,1,2))]. 3500 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = R(K(x,x \ 1),y,z). [para(1770(a,2),3499(a,2,1))]. 3501 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),3497(a,1,2,2)),flip(a)]. 3502 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(a(R(x,y,z),1 / x,x),y,z). [para(3429(a,1),3501(a,1,1)),flip(a)]. 3503 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = R(K(R(x,y,z),x \ 1),y,z). [para(3426(a,1),3502(a,2,1))]. 3504 R(x,y,z) * ((R(x,y,z) / x) \ (1 / x)) = K(R(x,y,z),R(x,y,z) \ 1). [hyper(236,a,3306,a(flip),b,3503,a)]. 3505 (R(x,y,z) / x) \ (1 / x) = 1 / R(x,y,z). [hyper(17,a,1770,a(flip),b,3504,a)]. 3506 R(1 / (1 / x),y,z) \ 1 = 1 / R(x,y,z). [hyper(236,a,3383,a,b,3505,a(flip)),flip(a)]. 3507 R(1 / (1 / x),y,z) = 1 / (1 / R(x,y,z)). [para(3506(a,1),62(a,1,2)),flip(a)]. 3508 1 / R(x \ 1,y,z) = R(1 / x,y,z) \ 1. [para(62(a,1),3506(a,1,1,1,2)),flip(a)]. 3509 R(T(1 / (1 / x),y),z,u) \ 1 = 1 / R(T(x,y),z,u). [para(2482(a,1),3506(a,1,1,1))]. 3510 1 / (1 / R(x \ 1,y,z)) = R(1 / x,y,z). [para(62(a,1),3507(a,1,1,2)),flip(a)]. 3511 (R(1 / x,y,z) \ 1) \ 1 = R(x \ 1,y,z). [para(3508(a,1),65(a,1,1))]. 3512 L(R(1 / x,x,y) \ 1,x \ ((y / (x * y)) * x),x) = 1 / (1 / ((y / (x * y)) \ 1)). [para(3508(a,1),3442(a,1,1))]. 3513 T(x,R(1 / y,z,u)) = T(x,R(y \ 1,z,u)). [para(3510(a,1),3017(a,1,2))]. 3514 R((x \ 1) \ 1,y,z) = (R(x,y,z) \ 1) \ 1. [para(62(a,1),3511(a,1,1,1,1)),flip(a)]. 3515 T(x,R((y \ 1) \ 1,z,u)) = T(x,R(y,z,u)). [para(62(a,1),3513(a,1,2,1)),flip(a)]. 3516 R(((x / y) \ 1) \ 1,y,y \ 1) = ((x * (y \ 1)) \ 1) \ 1. [para(482(a,1),3514(a,2,1,1))]. 3517 R(((x / y) \ 1) \ 1,y,z) * (y * z) = (y * z) * ((((y * z) \ (x * z)) \ 1) \ 1). [para(3514(a,2),2493(a,1,1))]. 3518 R(((x / (1 / y)) \ 1) \ 1,y \ 1,y) = ((x * y) \ 1) \ 1. [para(2807(a,1),3514(a,2,1,1))]. 3519 1 / R(T(x,(1 / x) * y),1 / x,y) = (((1 / x) * y) \ y) \ 1. [para(704(a,1),3509(a,1,1)),flip(a)]. 3520 T(x * y,x \ (1 / y)) = ((x * y) \ 1) \ 1. [hyper(236,a,2816,a,b,3518,a(flip)),flip(a)]. 3521 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = ((((z / x) \ 1) \ 1) * x) * y. [hyper(225,a,3517,a),flip(a)]. 3522 (x * y) * ((((x * y) \ (z * y)) \ 1) \ 1) = (x * (((x \ z) \ 1) \ 1)) * y. [para(2492(a,1),3521(a,2,1))]. 3523 ((R(x,y,z) \ 1) \ 1) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [hyper(236,a,3054,a(flip),b,3522,a(flip)),flip(a)]. 3524 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [hyper(236,a,2564,a(flip),b,3522,a(flip)),flip(a)]. 3525 R((x \ 1) \ 1,y,z) \ ((x * y) * z) = ((x * y) * ((((x * y) \ y) \ 1) \ 1)) * z. [para(3514(a,2),3523(a,1,1))]. 3526 R((x \ 1) \ 1,y,z) \ ((x * y) * z) = (y * K(x \ 1,x)) * z. [para(3324(a,1),3525(a,2,1))]. 3527 (((x * (y \ 1)) \ 1) \ 1) \ (((x / y) * y) * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). [para(3516(a,1),3526(a,1,1))]. 3528 L(R(1 / x,x,y) \ 1,T(y / (x * y),x),x) = 1 / (1 / ((y / (x * y)) \ 1)). [para(32(a,2),3512(a,1,2))]. 3529 L(R(1 / x,x,y) \ 1,R(x \ 1,x,y),x) = 1 / (1 / ((y / (x * y)) \ 1)). [para(630(a,1),3528(a,1,2))]. 3530 L(R(1 / x,x,y) \ 1,R(x \ 1,x,y),x) = 1 / (y / (x * y)). [para(62(a,1),3529(a,2,2))]. 3532 ((R(x,y,z) \ 1) * R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(3324(a,1),3524(a,2,1))]. 3533 (((x * (y \ 1)) \ 1) \ 1) \ (x * (y \ 1)) = (y * K((x / y) \ 1,x / y)) * (y \ 1). [para(16(a,1),3527(a,1,2,1))]. 3534 (x * K((y / x) \ 1,y / x)) * (x \ 1) = K((y * (x \ 1)) \ 1,y * (x \ 1)). [hyper(1378,a,3533,a),flip(a)]. 3536 (x * (y * z)) * (1 / (1 / ((x * (y * z)) \ (x * y)))) = (x * y) * K(L(z,y,x),L(z,y,x) \ 1). [para(137(a,1),2755(a,1,2,2,2,2))]. 3537 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * ((y * z) * (1 / (1 / ((y * z) \ y)))). [hyper(236,a,3359,a(flip),b,3536,a(flip))]. 3539 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / (1 / (z \ (y \ y)))))). [para(3091(a,1),3537(a,2,2))]. 3540 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / (1 / (z \ 1))))). [para(52(a,1),3539(a,2,2,2,2,2,2,2))]. 3542 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * (z * (1 / z))). [para(62(a,1),3540(a,2,2,2,2,2))]. 3543 (x * y) * K(L(z,y,x),L(z,y,x) \ 1) = x * (y * K(z,z \ 1)). [para(1770(a,2),3542(a,2,2,2))]. 3544 (x * y) * z != x * (y * K(u,u \ 1)) | K(L(u,y,x),L(u,y,x) \ 1) = z. [para(3543(a,1),19(a,1)),flip(a)]. 3545 L((x * ((y * x) \ y)) \ z,x * ((y * x) \ y),1 / x) = ((y * (1 / (1 / x))) \ y) \ ((1 / x) * z). [para(2770(a,1),2901(a,1,2))]. 3546 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(2432(a,1),1079(a,1,1,2))]. 3547 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),3546(a,1,1,2))]. 3549 ((x \ R(x,y,z)) / R(x,y,z)) \ (x \ 1) = K(x \ 1,R(x,y,z)). [para(1072(a,1),3547(a,1,1)),flip(a)]. 3551 K(x \ 1,R(x,y,z)) \ (x \ 1) = (x \ R(x,y,z)) / R(x,y,z). [para(3549(a,1),3440(a,1,1))]. 3552 (x \ 1) \ ((x \ R(x,y,z)) / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [hyper(72,a,3551,a(flip),b,3419,a)]. 3553 K(x \ 1,R(x,y,z)) \ 1 = K(R(x,y,z),x \ 1). [hyper(2451,a,3552,a),flip(a)]. 3555 K(R(x,y,z),x \ 1) \ 1 = K(x \ 1,R(x,y,z)). [para(3553(a,1),2301(a,1,1))]. 3556 x * T(x \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(3430,a,3555,a)]. 3557 R(x,y,z) \ R(1 / (1 / x),y,z) = K(x \ 1,R(x,y,z)). [hyper(236,a,3391,a,b,3556,a(flip)),flip(a)]. 3558 R(K(x \ 1,R(x,y,z)),y,z) = K(R(x,y,z) \ 1,R(x,y,z)). [para(3556(a,1),2392(a,1,1))]. 3559 R(x,y,z) * K(x \ 1,R(x,y,z)) = R(1 / (1 / x),y,z). [para(3557(a,1),14(a,1,2))]. 3560 R(x,y,z) * K(x \ 1,R(x,y,z)) = 1 / (1 / R(x,y,z)). [hyper(236,a,3507,a(flip),b,3559,a)]. 3561 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,R(x,y,z)). [hyper(17,a,1738,a,b,3560,a),flip(a)]. 3562 (R(x,y,z) \ 1) * R(x,y,z) = K(x \ 1,R(x,y,z)). [hyper(400,a,3561,a)]. 3563 R(x,y,z) * (1 / R(x,y,z)) = K(x \ 1,R(x,y,z)) \ 1. [para(3561(a,1),1773(a,1,1)),flip(a)]. 3564 K(x \ 1,R(x,y,z)) != u | K(R(x,y,z) \ 1,R(x,y,z)) = u. [para(3562(a,1),314(a,1))]. 3565 K(x \ 1,R(x,y,z)) * (y * z) = (y * K(x \ 1,x)) * z. [para(3562(a,1),3532(a,1,1))]. 3566 R(x,y,z) * (1 / R(x,y,z)) = K(R(x,y,z),x \ 1). [hyper(236,a,3553,a(flip),b,3563,a)]. 3567 (x * K(y \ 1,y)) * z != u * (x * z) | K(y \ 1,R(y,x,z)) = u. [para(3565(a,1),20(a,1))]. 3568 K(x,R(x \ 1,y,z)) * (y * z) = (y * K((x \ 1) \ 1,x \ 1)) * z. [para(3247(a,1),3565(a,1,1))]. 3569 K(R(x \ 1,y,z) \ 1,R(x \ 1,y,z)) = R(K(x,R(x \ 1,y,z)),y,z). [para(3247(a,1),3558(a,1,1)),flip(a)]. 3570 K(x,R(x \ 1,y,z)) * (y * z) = (y * K(x,x \ 1)) * z. [para(1804(a,1),3568(a,2,1,2))]. 3572 R(K(x,R(x \ 1,y,z)),y,z) = K((x \ 1) \ 1,R(x \ 1,y,z)). [hyper(236,a,3561,a(flip),b,3569,a(flip))]. 3573 R(K(x,R(x \ 1,y,z)),y,z) = K(x,R(x \ 1,y,z)). [hyper(236,a,3247,a(flip),b,3572,a)]. 3574 (K(x,R(x \ 1,y,z)) * y) * z = K(x,R(x \ 1,y,z)) * (y * z). [para(3573(a,1),113(a,1,1)),flip(a)]. 3575 K(x,R(x \ 1,y,z)) * y = y * K(x,x \ 1). [hyper(18,a,3570,a(flip),b,3574,a)]. 3576 K(x,R(x \ 1,y,z)) = K(x,x \ 1). [hyper(18,a,2500,a,b,3575,a)]. 3579 (x * K(y,y \ 1)) * z = K(y,y \ 1) * (x * z). [para(3576(a,1),3570(a,1,1)),flip(a)]. 3582 (K(x,x \ 1) * (y * z)) / (K(x,x \ 1) * z) = R(y,K(x,x \ 1),z). [hyper(74,a,3579,a(flip),b,113,a)]. 3584 (K(x,x \ 1) * y) * z = K(x,x \ 1) * (y * z). [para(2500(a,2),3579(a,1,1))]. 3585 K(x,x \ 1) * ((K(x \ 1,x) * y) * z) = y * z. [para(2838(a,1),3579(a,1,1)),flip(a)]. 3587 R(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(467,a,3584,a)]. 3588 L(x,y,K(z,z \ 1)) = x. [hyper(436,a,3584,a)]. 3589 K(x,x \ 1) * (1 / y) = K(x,x \ 1) / y. [hyper(74,a,64,a(flip),b,3584,a),flip(a)]. 3590 (K(x,x \ 1) * y) \ (K(x,x \ 1) * z) = y \ z. [hyper(72,a,88,a(flip),b,3584,a)]. 3595 (K(x,x \ 1) * y) / z = K(x,x \ 1) * (y / z). [para(3588(a,1),494(a,1,2))]. 3596 L(x,y,K(z,1 / z)) = x. [para(1767(a,2),3588(a,1,3))]. 3597 L(x,y,K(z \ 1,z)) = x. [para(1772(a,1),3588(a,1,3))]. 3598 L(x,y,K(z \ u,u \ z)) = x. [para(2282(a,1),3588(a,1,3))]. 3599 (K(x,1 / x) * y) * z = K(x,1 / x) * (y * z). [para(3596(a,1),103(a,1,2))]. 3600 K(x,1 / x) * (1 / y) = K(x,1 / x) / y. [para(3596(a,1),384(a,1,2)),flip(a)]. 3601 L(x,y,1 / z) = L(x,y,z \ 1). [hyper(3465,a,3597,a),flip(a)]. 3602 L(x,y,K(z \ 1,z)) = 1 * x. [hyper(319,a,3597,a),flip(a)]. 3605 (x * K(y,y \ 1)) \ z = x \ (K(y \ 1,y) * z). [hyper(236,a,2854,a(flip),b,3597,a(flip))]. 3606 x \ R(x,y \ 1,y) = a(x,y \ 1,y). [hyper(236,a,2610,a(flip),b,3597,a(flip))]. 3608 (K(x \ 1,x) * y) * z = K(x \ 1,x) * (y * z). [para(3597(a,1),103(a,1,2))]. 3609 (K(x \ 1,x) * y) / z = K(x \ 1,x) * (y / z). [para(3597(a,1),494(a,1,2))]. 3611 L(x,y,1 / z) != u | L(x,y,z \ 1) = u. [para(3597(a,1),3465(a,1))]. 3612 (K(x \ y,y \ x) * z) * u = K(x \ y,y \ x) * (z * u). [para(3598(a,1),103(a,1,2))]. 3613 L(x,y,K(z \ 1,z)) != u | u = x. [para(3602(a,2),75(a,1))]. 3614 L((x * ((y * x) \ y)) \ z,x * ((y * x) \ y),x \ 1) = ((y * (1 / (1 / x))) \ y) \ ((1 / x) * z). [hyper(236,a,3545,a(flip),b,3601,a(flip))]. 3615 L(x,y,(z \ 1) \ 1) = L(x,y,z). [para(62(a,1),3601(a,1,3)),flip(a)]. 3616 L(x,y,K(z,z \ 1)) != u | u = x. [para(1769(a,1),3613(a,1,3))]. 3618 R(T(x,y * K(z \ 1,z)),y,K(z \ 1,z)) != u | T(x,y) = u. [para(2613(a,2),3613(a,1)),flip(b)]. 3619 x \ (K(y \ 1,y) * z) != u | (x * K(y,y \ 1)) \ z = u. [para(2854(a,1),3613(a,1)),flip(b)]. 3620 L(x,T(1 / y,z),y) = L(x,T(y \ 1,z),y). [hyper(3444,a,3615,a)]. 3621 L(x,y,L((z \ 1) \ 1,u,w)) = L(x,y,L(z,u,w)). [para(2706(a,2),3615(a,1,3))]. 3622 (K(x,x \ 1) * y) \ (K(x,x \ 1) * z) != u | y \ z = u. [para(105(a,1),3616(a,1)),flip(b)]. 3623 R(T(x,y * K(z,z \ 1)),y,K(z,z \ 1)) != u | T(x,y) = u. [para(2612(a,2),3616(a,1)),flip(b)]. 3624 R(x,y,z) * ((1 / x) * (R(x,y,z) \ x)) = K(x,x \ 1). [hyper(236,a,3500,a,b,3587,a(flip)),flip(a)]. 3626 a(x,1 / y,y) = a(x,y \ 1,y). [hyper(236,a,2810,a(flip),b,3606,a(flip)),flip(a)]. 3627 x * a(x,y \ 1,y) = R(x,y \ 1,y). [para(3606(a,1),14(a,1,2))]. 3628 x \ T(x,x \ 1) = a(x,x \ 1,x). [para(1371(a,1),3606(a,1,2))]. 3629 a(x,x \ 1,x) = K(x,x \ 1). [hyper(1819,a,3628,a),flip(a)]. 3631 x \ R(x,y \ 1,y) != z | a(x,y \ 1,y) = z. [para(3627(a,1),283(a,1,2)),flip(b)]. 3632 L(x,y,y \ 1) \ ((1 / y) * (x * y)) != z | L(K(x,y),y * x,y \ 1) = z. [para(2929(a,2),3611(a,1))]. 3634 K(x,x \ 1) / y != z | (1 / y) * K(x,x \ 1) = z. [para(3589(a,1),2506(a,1))]. 3635 L(T(1 / x,y) \ z,T(x \ 1,y),x) = (x * T(1 / x,y)) \ (x * z). [hyper(236,a,105,a(flip),b,3620,a(flip))]. 3637 (K(x \ 1,x) * y) \ 1 = y \ K(x,x \ 1). [hyper(366,a,3585,a),flip(a)]. 3638 (x * K(y \ 1,y)) \ 1 = x \ K(y,y \ 1). [para(2516(a,1),3637(a,1,1))]. 3639 (x * K(y \ 1,y)) \ z = x \ (K(y,y \ 1) * z). [para(2858(a,1),3590(a,1,1)),flip(a)]. 3641 K(x,x \ 1) * (x / y) = ((x \ 1) \ 1) / y. [para(1745(a,1),3595(a,1,1)),flip(a)]. 3642 R(K(x,x \ 1) * (y / z),z,K(x \ 1,x)) = y / (z * K(x \ 1,x)). [para(3595(a,1),2868(a,1,1))]. 3643 (x / y) * K(x,x \ 1) = ((x \ 1) \ 1) / y. [hyper(2506,a,3641,a)]. 3644 (K(x,1 / x) * y) * z = (y * z) * K(x,1 / x). [hyper(236,a,2512,a(flip),b,3599,a)]. 3647 (x * K(y,y \ 1)) \ (1 / y) = x \ (y \ 1). [para(1733(a,1),3605(a,2,2))]. 3648 ((x \ 1) * y) \ (K(x \ 1,x) * z) = ((1 / x) * y) \ z. [para(2956(a,1),3605(a,1,1)),flip(a)]. 3649 x \ (K(y \ 1,y) * (x * ((1 / y) * z))) != u | L((y \ 1) * z,K(y,y \ 1),x) = u. [para(3605(a,1),2975(a,1))]. 3651 (x * K(y \ 1,y)) * z = K(y \ 1,y) * (x * z). [hyper(2546,a,3608,a)]. 3652 ((K(x \ 1,x) * (y * z)) * u) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3608(a,1),30(a,2,1,1)),flip(a)]. 3653 K(x \ 1,x) * ((y / (x \ 1)) * z) = (y / (1 / x)) * z. [para(2742(a,1),3608(a,1,1)),flip(a)]. 3654 T(K(x \ 1,x) * (y / z),z) = z \ (K(x \ 1,x) * y). [para(3609(a,1),121(a,1,1))]. 3656 (x * K(y,1 / y)) / z = K(y,1 / y) * (x / z). [hyper(74,a,89,a(flip),b,3644,a)]. 3657 K(x \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(3567,a,3651,a)]. 3659 (1 / x) * K(y \ 1,y) = K(y \ 1,y) / x. [hyper(74,a,64,a(flip),b,3651,a),flip(a)]. 3660 (K(x \ 1,x) * (y * (z * u))) \ (((y * K(x \ 1,x)) * z) * u) = a(y * K(x \ 1,x),z,u). [para(3651(a,1),24(a,2,1)),flip(a)]. 3661 (K(x \ 1,x) * (y * z)) \ ((y * K(x \ 1,x)) * (z * u)) = L(u,z,y * K(x \ 1,x)). [para(3651(a,1),28(a,2,1)),flip(a)]. 3662 (x * (y * K(z \ 1,z))) \ (x * (K(z \ 1,z) * (y * u))) != w | L(u,y * K(z \ 1,z),x) = w. [para(3651(a,1),447(a,1,2,2))]. 3665 (K(x \ 1,x) * (y * ((1 / x) * z))) / ((x \ 1) * z) = R(y,K(x \ 1,x),(1 / x) * z). [para(3651(a,1),2958(a,1,1))]. 3666 K(R(x,y,z) \ 1,R(x,y,z)) = K(x \ 1,x). [hyper(3564,a,3657,a)]. 3667 (x \ R(x,y,z)) * K(x \ 1,x) = (x \ 1) * R(x,y,z). [para(3657(a,1),1075(a,1,2))]. 3674 R(x / (y / K(z,1 / z)),y / K(z,1 / z),K(z,1 / z)) = K(z,1 / z) * (x / y). [hyper(236,a,485,a,b,3656,a(flip)),flip(a)]. 3680 ((1 / x) * (x * y)) \ y = a(x \ 1,x,y). [hyper(913,a,3648,a),flip(a)]. 3681 (x \ T(x,(x \ 1) * y)) * y = y * K(((1 / x) * y) \ y,(x \ 1) * y). [para(3648(a,1),3489(a,1,2,1)),flip(a)]. 3682 L(x,y,y \ 1) \ x = a(y \ 1,y,x). [para(2923(a,1),3680(a,1,1))]. 3683 x / a(y \ 1,y,x) = L(x,y,y \ 1). [para(3682(a,1),62(a,1,2))]. 3684 L(x,y,y \ 1) \ x != z | a(y \ 1,y,x) = z. [para(3683(a,1),282(a,1,1)),flip(b)]. 3685 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) = y \ (K(x \ 1,x) * (y * ((1 / x) * z))). [para(2972(a,1),3654(a,1,1))]. 3686 (1 / x) * R(x,y,z) = x \ R(x,y,z). [hyper(18,a,2957,a,b,3667,a),flip(a)]. 3688 R(x,y,z) / x = x \ R(x,y,z). [hyper(1930,a,3686,a)]. 3689 (x \ 1) \ R(x \ 1,y,z) = x * R(x \ 1,y,z). [hyper(290,a,3686,a),flip(a)]. 3690 (x \ R(x,y,z)) * x = R(x,y,z). [para(3686(a,1),1916(a,1,1))]. 3691 x \ R(x,y,z) != u | R(x,y,z) / x = u. [para(3686(a,1),1930(a,1))]. 3692 R(x,y,y \ 1) / x = a(x,y,y \ 1). [hyper(236,a,688,a(flip),b,3688,a)]. 3693 R(R(x,y,z),u,w) / R(x,u,w) = R(x,u,w) \ R(R(x,u,w),y,z). [para(46(a,1),3688(a,1,1))]. 3694 R(x \ R(x,y,z),x,u) = (R(x,y,z) * u) / (x * u). [para(3688(a,1),114(a,1,1))]. 3695 (x / y) \ R(x / y,y,y \ 1) = (x * (y \ 1)) / (x / y). [para(482(a,1),3688(a,1,1)),flip(a)]. 3696 R(x \ R(x,y,z),x,y * z) = ((x * y) * z) / (x * (y * z)). [para(3688(a,1),491(a,1,1))]. 3697 T(x,x \ R(x,y,z)) = x. [hyper(268,a,3690,a)]. 3698 K(x \ R(x,y,z),x) = 1. [hyper(71,a,3690,a(flip),b,249,a),flip(a)]. 3699 a(x,y,y \ 1) * x = R(x,y,y \ 1). [para(688(a,1),3690(a,1,1))]. 3700 K(x \ R(x,y,z),x) = (1 / u) * u. [hyper(236,a,16,a,b,3698,a)]. 3701 K(x \ R(x,y,z),x) = (u \ K(u,u \ 1)) * u. [para(1771(a,2),3700(a,2,1))]. 3702 K(x \ R(x,y,z),x) = (u \ K(u,R(u \ 1,w,v5))) * u. [para(3576(a,2),3701(a,2,1,2))]. 3703 (x \ 1) * (x * R(x \ 1,y,z)) = R(x \ 1,y,z). [para(3689(a,1),14(a,1,2))]. 3704 R(x \ 1,y,z) != (x \ 1) * u | x * R(x \ 1,y,z) = u. [para(3703(a,1),19(a,1))]. 3705 x * R(y \ R(y,z,u),y,w) = x * ((R(y,z,u) * w) / (y * w)). [hyper(21,a,3694,a)]. 3706 (x * (y \ 1)) / (x / y) = (x / y) \ (x * (y \ 1)). [para(482(a,1),3695(a,1,2)),flip(a)]. 3707 (x * K(y \ z,z \ y)) * u = K(y \ z,z \ y) * (x * u). [para(2524(a,1),3612(a,1,1))]. 3708 R(T(x,y / (1 / z)),y / (z \ 1),K(z \ 1,z)) != u | T(x,y / (z \ 1)) = u. [para(2739(a,1),3618(a,1,1,2))]. 3709 T((R(x \ R(x,y,z),x,y * z) \ 1) \ 1,x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(3696(a,2),2485(a,1,1,1,1))]. 3710 (x * K(y \ z,z \ y)) * (x \ 1) != u | K(y \ z,z \ y) = u. [para(3707(a,2),154(a,1)),flip(b)]. 3711 R(x,K(y,y \ 1),z) = R(x,z,K(y,y \ 1)). [hyper(236,a,2609,a(flip),b,3582,a(flip))]. 3712 R(x,y,K(z \ 1,(z \ 1) \ 1)) = R(x,K(z \ 1,z),y). [para(1772(a,1),3711(a,1,2)),flip(a)]. 3713 R(x,K(y \ 1,y),z) = R(x,z,K(y \ 1,y)). [para(1772(a,1),3712(a,1,3)),flip(a)]. 3714 (K(x \ 1,x) * ((y * z) * u)) / (z * u) = R(K(x \ 1,x) * y,z,u). [para(3608(a,1),3652(a,1,1))]. 3715 K(x \ 1,x) * (((y * z) * u) / (z * u)) = R(K(x \ 1,x) * y,z,u). [hyper(236,a,3609,a(flip),b,3714,a(flip)),flip(a)]. 3716 R(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * R(y,z,u). [para(30(a,2),3715(a,1,2)),flip(a)]. 3717 R(K(x \ 1,x) * (y * T(x,x \ 1)),z,u) = (x \ R(x * y,z,u)) * x. [hyper(236,a,3365,a(flip),b,3716,a)]. 3718 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z,u). [hyper(2863,a,3716,a(flip))]. 3719 K(x,x \ 1) * R(x \ 1,y,z) = R(1 / x,y,z). [para(1733(a,1),3718(a,1,2,1))]. 3720 R(K(x,x \ 1) * y,z,u) = K(x,x \ 1) * R(y,z,u). [para(2846(a,1),3718(a,1,2,1)),flip(a)]. 3721 R(K(x,x \ 1) * y,z,u) = R(y,z,u) * K(x,x \ 1). [hyper(236,a,2500,a(flip),b,3720,a)]. 3722 (x \ T(x,(x \ 1) * y)) * y = y * K(((x \ 1) * y) \ y,(x \ 1) * y). [para(3262(a,1),3681(a,2,2))]. 3723 (x \ R(x * y,z,u)) * x = R(y * x,z,u). [para(2789(a,1),3717(a,1,1)),flip(a)]. 3724 R(x * y,z,u) / y = y \ R(y * x,z,u). [hyper(87,a,3723,a)]. 3725 R((x \ y) * x,z,u) = (x \ R(y,z,u)) * x. [para(14(a,1),3723(a,1,1,2,1)),flip(a)]. 3726 x \ R(x * (y / x),z,u) = R(y,z,u) / x. [para(16(a,1),3724(a,1,1,1)),flip(a)]. 3727 R((x \ (y / z)) * x,z,z \ 1) = (x \ (y * (z \ 1))) * x. [para(482(a,1),3725(a,2,1,2))]. 3728 R((x \ (y / (1 / z))) * x,z \ 1,z) = (x \ (y * z)) * x. [para(2807(a,1),3725(a,2,1,2))]. 3729 R(x * (y / x),z,u) = x * (R(y,z,u) / x). [para(3726(a,1),14(a,1,2)),flip(a)]. 3730 R(x * ((y / z) / x),z,y \ u) * (z * (y \ u)) = (x * ((u / (z * (y \ u))) / x)) * (z * (y \ u)). [para(3729(a,2),2645(a,1,1))]. 3731 ((x \ (y * (z \ 1))) * x) / (z \ 1) = ((x \ (y / z)) * x) * z. [hyper(74,a,3727,a(flip),b,189,a)]. 3733 (x \ (x * y)) * x = (x * (y \ T(y,x))) * y. [hyper(236,a,3447,a(flip),b,3728,a(flip))]. 3734 ((x \ (y / (1 / z))) * x) * (1 / z) = ((x \ (y * z)) * x) / z. [hyper(74,a,3728,a(flip),b,2804,a),flip(a)]. 3736 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ (1 * x)) * y) / ((1 / x) \ 1). [para(3728(a,1),3491(a,1,1)),flip(a)]. 3737 (x * (y \ T(y,x))) * y = y * x. [para(13(a,1),3733(a,1,1)),flip(a)]. 3738 x * (y \ T(y,x)) = (y * x) / y. [hyper(87,a,3737,a),flip(a)]. 3739 (x \ y) * (x \ T(x,x \ y)) = y / x. [hyper(74,a,14,a(flip),b,3737,a),flip(a)]. 3740 T(x,y) * (y \ T(y,T(x,y))) = x. [hyper(18,a,119,a(flip),b,3737,a)]. 3741 R(x,y \ T(y,x),y) = (y * x) / T(y,x). [hyper(74,a,3737,a(flip),b,3211,a),flip(a)]. 3743 x \ ((y * x) / y) = y \ T(y,x). [hyper(80,a,3738,a)]. 3744 (x / y) \ T(x / y,y) = y \ (x / (x / y)). [hyper(72,a,234,a(flip),b,3738,a),flip(a)]. 3745 T(x,y) \ x = y \ T(y,T(x,y)). [hyper(72,a,163,a(flip),b,3738,a)]. 3746 x * ((y * (x \ 1)) / y) = y \ T(y,x \ 1). [hyper(17,a,3181,a,b,3738,a),flip(a)]. 3747 ((x * y) / x) / y = x \ T(x,y). [hyper(17,a,3176,a,b,3738,a),flip(a)]. 3748 (x \ T(x,y)) * y = (x * y) / x. [hyper(236,a,3153,a,b,3738,a(flip)),flip(a)]. 3749 (x * y) \ ((x * y) / x) = L(x \ 1,T(x,y),y). [para(3738(a,1),931(a,1,2))]. 3750 ((x * y) / x) * (y \ 1) = x \ T(x,y). [para(3738(a,1),2323(a,1,1))]. 3751 L(x \ T(x,y),y,x) = K(x,(x * y) / x). [para(3743(a,1),452(a,1,1))]. 3752 T(x,R(y,y \ 1,x)) = (x \ T(x,y)) * x. [para(3743(a,1),1535(a,1,1)),flip(a)]. 3753 R(T(x,y) \ x,y,z) = (T(y,T(x,y)) * z) / (y * z). [para(3745(a,2),3200(a,1,1))]. 3756 R(x \ T(x,y),y,z) \ (((x * y) / x) * z) = y * z. [para(3747(a,1),464(a,1,1,1))]. 3757 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = y * (((x * y) / x) \ z). [para(3747(a,1),489(a,1,1,1))]. 3758 (x \ y) * (x \ ((x \ y) \ y)) = y / x. [para(120(a,1),3739(a,1,2,2))]. 3759 (x \ y) \ (y / x) != z | x \ ((x \ y) \ y) = z. [para(3758(a,1),283(a,1,2)),flip(b)]. 3760 R(x,y \ T(y,x),y) = x. [hyper(236,a,138,a(flip),b,3741,a)]. 3762 R(T(x,y),z \ T(z,x),z) = T(x,y). [para(3760(a,1),42(a,2,1))]. 3763 (T(x,y) * (z \ T(z,x))) * z = T(x,y) * T(z,x). [para(3762(a,1),3211(a,1,1)),flip(a)]. 3764 T(x,R(y,y \ 1,x)) = T(x,y). [hyper(236,a,3194,a(flip),b,3752,a)]. 3765 T(x,R(y,y \ 1,x)) != z | T(x,y) = z. [para(3752(a,2),3199(a,1))]. 3767 T(x,R(y \ 1,y,x)) = T(x,y \ 1). [para(3067(a,1),3764(a,1,2))]. 3769 x * ((x * y) * (y / (x * y))) = T(x * y,x \ 1). [hyper(236,a,3384,a(flip),b,3767,a(flip)),flip(a)]. 3770 T(x,x / (y * x)) = T(x,y \ 1). [hyper(236,a,3030,a(flip),b,3767,a(flip)),flip(a)]. 3771 x * (y * ((x \ y) / y)) = T(y,x \ 1). [hyper(1310,a,3770,a)]. 3772 T(x,x / (x * y)) = T(x,y \ 1). [hyper(236,a,3230,a(flip),b,3770,a(flip)),flip(a)]. 3773 x \ T(y,x \ 1) = y * ((x \ y) / y). [hyper(72,a,3770,a(flip),b,1309,a)]. 3774 (x * ((x / y) / x)) * y = T(x,y \ 1). [hyper(2169,a,3772,a)]. 3777 T(x * ((x / y) / x),y) = y \ T(x,y \ 1). [hyper(394,a,3772,a(flip),b,2166,a)]. 3778 x * K(x,(x / y) / x) = T(x,y \ 1). [hyper(236,a,1553,a,b,3772,a(flip)),flip(a)]. 3779 T(x,y \ 1) / y = x * ((x / y) / x). [hyper(74,a,3772,a(flip),b,2166,a)]. 3780 K(x,(x / y) / x) = x \ T(x,y \ 1). [hyper(72,a,3772,a(flip),b,1553,a),flip(a)]. 3782 T(x,R(y \ 1,y,x)) != z | T(x,y \ 1) = z. [para(3067(a,1),3765(a,1,2))]. 3783 K(x,y) != z | T(K(x,y),x) = z. [para(3275(a,1),3765(a,1))]. 3786 (x \ 1) \ T(y,x) = y * (((x \ 1) \ y) / y). [hyper(72,a,3020,a(flip),b,3771,a)]. 3787 x \ (y \ T(x,y \ 1)) = (y \ x) / x. [hyper(72,a,3773,a,b,xx)]. 3788 (x / y) \ T(x,(x / y) \ 1) = x * (y / x). [para(65(a,1),3773(a,2,2,1))]. 3789 x * R(1 / y,y,y \ x) = y \ T(x,y \ 1). [para(354(a,2),3773(a,2,2)),flip(a)]. 3790 T(x,T(y,y \ x) \ 1) = x * K(x,(y \ x) / x). [para(197(a,1),3778(a,1,2,2,1)),flip(a)]. 3791 x \ T(x,y \ 1) != z | K(x,(x / y) / x) = z. [para(3778(a,1),283(a,1,2)),flip(b)]. 3792 T(x,(y \ x) \ 1) / (y \ x) = x * (y / x). [para(62(a,1),3779(a,2,2,1))]. 3793 T(x,y) / (1 / y) = x * ((x / (1 / y)) / x). [para(65(a,1),3779(a,1,1,2))]. 3796 (x / y) \ (y \ x) = y \ (x / (x / y)). [para(121(a,1),3744(a,1,2))]. 3797 L(x * ((y * (x \ 1)) / y),z,u) = y \ T(y,L(x,z,u) \ 1). [hyper(2677,a,3746,a)]. 3798 (x * ((y \ x) / x)) / (y \ x) = x \ T(x,y \ 1). [hyper(236,a,2038,a,b,3746,a(flip)),flip(a)]. 3799 x \ (y * ((z * (y \ x)) / z)) = z \ T(z,(x \ y) \ 1). [hyper(236,a,1642,a(flip),b,3746,a(flip)),flip(a)]. 3800 T(x \ T(x,y \ 1),z) = K(x,(x / T(y,z)) / x). [para(3746(a,1),2181(a,1,1))]. 3801 K(x,(x / y) / x) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3746(a,1),2221(a,2,2,1))]. 3802 (x * ((y / (z * (x \ y))) / x)) * (z * (x \ y)) = x * ((x \ T(x,z \ 1)) * (x \ y)). [para(3746(a,1),2183(a,2,2,1))]. 3803 R(x \ T(x,y \ 1),z,u) = K(x,(x / R(y,z,u)) / x). [para(3746(a,1),2655(a,1,1))]. 3804 T(((x / y) / x) * ((x \ 1) \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3777(a,1),2793(a,2,1,2))]. 3805 (((x / y) \ 1) \ y) * ((x / y) \ 1) = x * (y / x). [hyper(236,a,932,a(flip),b,3788,a(flip)),flip(a)]. 3806 x \ (T(x,y) / (1 / y)) = (x / (1 / y)) / x. [hyper(72,a,3793,a,b,xx)]. 3808 x * R(1 / (1 / y),1 / y,(1 / y) \ x) = (1 / y) \ T(x,y). [para(65(a,1),3789(a,2,2,2))]. 3809 ((x \ 1) \ y) * (x \ 1) = (x * y) * (y / (x * y)). [hyper(17,a,876,a,b,3769,a),flip(a)]. 3810 x \ T(x,T(y,z) \ 1) = T(x \ T(x,y \ 1),z). [hyper(236,a,3780,a(flip),b,3800,a),flip(a)]. 3811 ((x \ 1) * y) * (y / ((x \ 1) * y)) = (x \ y) * x. [hyper(236,a,3001,a(flip),b,3809,a(flip))]. 3812 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = x \ T(x,R(z \ 1,z,y) \ 1). [para(3219(a,1),3810(a,1,2,2,1)),flip(a)]. 3813 ((x \ 1) * y) * R(x,x \ 1,y) = (x \ y) * x. [para(156(a,2),3811(a,1,2))]. 3814 ((((x \ 1) * y) * x) / ((x \ 1) * y)) * (x \ 1) = ((x \ y) * x) / y. [hyper(74,a,3813,a(flip),b,812,a),flip(a)]. 3816 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R((y * x) \ (x * y),x,z). [para(3753(a,1),863(a,1,1))]. 3817 R(x \ T(x,y \ 1),z,u) = x \ T(x,R(y,z,u) \ 1). [hyper(236,a,3780,a(flip),b,3803,a)]. 3818 x * (T((x \ y) * z,x) / z) = ((x \ (y * z)) * x) / z. [hyper(236,a,1607,a(flip),b,3734,a(flip)),flip(a)]. 3819 L(x \ T(x,y \ 1),z,u) = x \ T(x,L(y,z,u) \ 1). [para(3746(a,1),3797(a,1,1))]. 3820 (x \ T(x,y \ 1)) * (y * z) = y * ((x \ T(x,y \ 1)) * z). [para(3780(a,1),3801(a,1,1))]. 3821 ((x \ 1) * y) \ T((x \ 1) * y,x) = ((x \ y) * x) / y. [hyper(236,a,3750,a(flip),b,3814,a(flip)),flip(a)]. 3822 L(K(x \ y,x),y,x \ 1) = ((x \ y) * x) / y. [hyper(236,a,1632,a(flip),b,3821,a(flip)),flip(a)]. 3823 ((x \ (x * y)) * x) / (x * y) = L(K(y,x),x * y,x \ 1). [para(13(a,1),3822(a,1,1,1)),flip(a)]. 3824 L(K(x,y),y * x,y \ 1) = (x * y) / (y * x). [para(13(a,1),3823(a,1,1,1)),flip(a)]. 3825 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,(x \ 1) * y)) * y. [hyper(236,a,249,a(flip),b,3722,a),flip(a)]. 3826 L((T(x,T(y,x)) * z) / (x * z),T(y,x),x) = R(K(x,y),x,z). [para(26(a,2),3816(a,2,1))]. 3827 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,(z \ 1) \ 1),z,y). [hyper(236,a,3817,a,b,3812,a)]. 3828 T(x \ T(x,(y / (z * y)) \ 1),T(z,u)) = R(x \ T(x,z),z,y). [para(3020(a,1),3827(a,2,1,2))]. 3829 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / ((1 / x) \ 1). [para(11(a,1),3736(a,2,1,1,2))]. 3830 (x * K(y \ (1 / (1 / x)),y)) * (x \ 1) = ((y \ x) * y) / x. [para(65(a,1),3829(a,2,2))]. 3831 T((x \ 1) * (x * ((y * (x \ z)) / y)),y) != u | L((x \ 1) * z,K(x,x \ 1),y) = u. [para(3685(a,2),3649(a,1))]. 3832 T((x / y) * K(x,x \ 1),y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(2825(a,1),3804(a,1,1,1))]. 3833 T(((x \ 1) \ 1) / y,y) * K(x \ 1,x) = (x \ (y \ T(x,y \ 1))) * x. [para(3643(a,1),3832(a,1,1,1))]. 3834 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = (y \ (x \ T(y,x \ 1))) * y. [para(121(a,1),3833(a,1,1))]. 3835 (x \ ((y \ 1) \ 1)) * K(y \ 1,y) = ((x \ y) / y) * y. [para(3787(a,1),3834(a,2,1))]. 3836 (x \ y) * K(y,y \ 1) = x \ ((y \ 1) \ 1). [hyper(18,a,2856,a(flip),b,3835,a),flip(a)]. 3838 K(x,x \ 1) * ((y \ x) * z) = (y \ ((x \ 1) \ 1)) * z. [para(3836(a,1),3579(a,1,1)),flip(a)]. 3839 (x \ ((y \ 1) \ 1)) * (y \ 1) = (x \ y) * (1 / y). [hyper(2882,a,3838,a)]. 3840 (x \ 1) * ((y \ ((x \ 1) \ 1)) * z) = (1 / x) * ((y \ x) * z). [para(3838(a,1),2946(a,1,2))]. 3841 L((x \ ((y \ 1) \ 1)) * z,y \ 1,y) = y * ((1 / y) * ((x \ y) * z)). [para(3840(a,1),188(a,1,2)),flip(a)]. 3842 (K(x \ 1,x) * (y * z)) \ (K(x \ 1,x) * (y * (z * u))) = L(u,z,y * K(x \ 1,x)). [para(3651(a,1),3661(a,1,2))]. 3843 K(x \ 1,x) * ((y * ((1 / x) * z)) / ((x \ 1) * z)) = R(y,K(x \ 1,x),(1 / x) * z). [hyper(236,a,3609,a(flip),b,3665,a(flip)),flip(a)]. 3844 L(L(x,y,z),z * y,K(u \ 1,u)) = L(x,y,z * K(u \ 1,u)). [hyper(786,a,3842,a)]. 3845 L(x,y,z * K(u \ 1,u)) = L(x,y,z). [hyper(3613,a,3844,a)]. 3847 L(x,y,K(z \ 1,z) * u) = L(x,y,u). [para(2516(a,2),3845(a,1,3))]. 3848 L(x,y,z / (1 / u)) = L(x,y,z / (u \ 1)). [para(2739(a,1),3845(a,1,3))]. 3849 L(x,y,z * (1 / u)) = L(x,y,z * (u \ 1)). [para(2740(a,1),3845(a,1,3)),flip(a)]. 3850 L(x,y,K(z,z \ 1) * u) = L(x,y,u). [para(2857(a,1),3845(a,1,3)),flip(a)]. 3851 L(x,y,((z \ 1) \ 1) * u) = L(x,y,z * u). [para(2967(a,1),3847(a,1,3)),flip(a)]. 3852 x * (R(x,y \ 1,y) \ (1 / y)) = L(y \ 1,y,x * (y \ 1)). [hyper(236,a,3352,a,b,3849,a(flip)),flip(a)]. 3853 (K(x \ 1,x) * (y * (z * u))) \ ((K(x \ 1,x) * (y * z)) * u) = a(y * K(x \ 1,x),z,u). [para(3651(a,1),3660(a,1,2,1))]. 3854 (K(x \ 1,x) * (y * (z * u))) \ (K(x \ 1,x) * ((y * z) * u)) = a(y * K(x \ 1,x),z,u). [para(3608(a,1),3853(a,1,2))]. 3855 L(a(x,y,z),x * (y * z),K(u \ 1,u)) = a(x * K(u \ 1,u),y,z). [hyper(787,a,3854,a)]. 3856 a(x * K(y \ 1,y),z,u) = a(x,z,u). [hyper(3613,a,3855,a)]. 3858 a(1 / x,y,z) = a(x \ 1,y,z). [para(1434(a,1),3856(a,1,1)),flip(a)]. 3859 ((x * (1 / (1 / y))) \ x) \ ((1 / y) * 1) = ((x * y) \ x) \ (y \ 1). [hyper(236,a,2274,a(flip),b,3614,a(flip))]. 3860 ((x * (1 / (1 / y))) \ x) \ (1 / y) = ((x * y) \ x) \ (y \ 1). [para(12(a,1),3859(a,1,2))]. 3861 (x * ((y / (z * (u \ y))) / x)) * (z * (u \ y)) = ((x * ((u / z) / x)) * z) * (u \ y). [hyper(225,a,3730,a),flip(a)]. 3863 ((x * ((x / y) / x)) * y) * (x \ z) = x * ((x \ T(x,y \ 1)) * (x \ z)). [hyper(236,a,3802,a(flip),b,3861,a(flip))]. 3864 x * ((x \ T(x,y \ 1)) * (x \ z)) = T(x,y \ 1) * (x \ z). [para(3774(a,1),3863(a,1,1)),flip(a)]. 3865 T(x,(y \ 1) \ 1) * (x \ z) = x * ((x \ T(x,y)) * (x \ z)). [para(3020(a,1),3864(a,1,2,1,2)),flip(a)]. 3866 x * ((x \ T(x,y)) * (x \ z)) = T(x,y) * (x \ z). [para(3020(a,1),3865(a,1,1)),flip(a)]. 3867 T(x,y) * (x \ (x * z)) = x * ((x \ T(x,y)) * z). [para(13(a,1),3866(a,1,2,2)),flip(a)]. 3868 x * ((x \ T(x,y)) * z) = T(x,y) * z. [para(13(a,1),3867(a,1,2)),flip(a)]. 3869 L(x,y \ T(y,z),y) = x. [hyper(720,a,3868,a)]. 3871 (T(x,y) * z) / ((x \ T(x,y)) * z) = x. [hyper(87,a,3868,a)]. 3872 (x \ T(x,y)) * z = T(x,y) * (x \ z). [hyper(17,a,1001,a,b,3868,a)]. 3873 (x \ T(x,y)) * (x * z) = T(x,y) * z. [hyper(17,a,996,a(flip),b,3868,a)]. 3875 T(x,y) * y = x * ((x * y) / x). [para(3748(a,1),3868(a,1,2)),flip(a)]. 3877 T(x,T(y,x)) * (y \ T(y,x)) = x. [hyper(3416,a,3869,a)]. 3879 T(x,T(y,x)) \ x = y \ T(y,x). [hyper(72,a,3869,a(flip),b,3415,a)]. 3880 (x \ T(x,y)) \ y = T(y,T(x,y)). [hyper(72,a,3869,a(flip),b,3413,a)]. 3881 (x \ T(x,y)) \ z = x * (T(x,y) \ z). [hyper(72,a,3869,a(flip),b,3411,a)]. 3882 x * ((x \ T(x,y)) * T(z,x * (x \ T(x,y)))) = z * (x * (x \ T(x,y))). [para(3869(a,1),606(a,2,1))]. 3883 T(x,y) * (x \ y) = (x * y) / x. [hyper(1017,a,3875,a)]. 3884 (x * (x * y)) / x = T(x,x * y) * y. [hyper(1006,a,3875,a),flip(a)]. 3885 T(x,x / (x / y)) = T(x,y). [hyper(18,a,1326,a,b,3875,a),flip(a)]. 3886 T(x,x \ y) * (x \ y) = x * (y / x). [para(14(a,1),3875(a,2,2,1))]. 3887 T(x / y,y) * y = (x / y) * (x / (x / y)). [para(16(a,1),3875(a,2,2,1))]. 3888 T(x,y) = (x / y) * ((x * y) / x). [hyper(236,a,1298,a,b,3885,a(flip))]. 3889 T(x,x / (1 / y)) = T(x,x * y). [hyper(236,a,1333,a(flip),b,3885,a(flip)),flip(a)]. 3890 (x / T(y,x)) * y = T(x,T(y,x)). [hyper(236,a,1303,a(flip),b,3885,a(flip)),flip(a)]. 3891 (x / y) \ T(x,y) = (x * y) / x. [hyper(72,a,3885,a(flip),b,1298,a)]. 3892 T(x,x / y) = T(x,y \ x). [para(62(a,1),3885(a,1,2,2))]. 3893 T(x,(y \ x) \ x) = T(x,y). [para(139(a,1),3885(a,1,2)),flip(a)]. 3894 T(T(x,y) / (x / y),x) = x / (x / y). [para(3885(a,1),1293(a,1,1,1))]. 3895 T(x,y \ x) / y = (x * (x / y)) / x. [hyper(74,a,3892,a(flip),b,1287,a)]. 3896 x \ T(y,x \ y) = (y * (x \ y)) / y. [hyper(72,a,3892,a(flip),b,1296,a)]. 3897 T(T(x,y \ x) / y,x) = x / y. [para(3892(a,1),1293(a,1,1,1))]. 3898 T(x,T(y,y \ x)) = T(x,y). [para(120(a,2),3893(a,1,2))]. 3899 T(x * y,T(x,y)) = T(x * y,x). [para(13(a,1),3898(a,1,2,2))]. 3901 x * (y \ T(y,z)) != z | T(z,T(y,z)) = x. [para(3877(a,1),20(a,1)),flip(a)]. 3903 (x * y) / x = y * (T(y,T(x,y)) \ y). [para(3879(a,2),3738(a,1,2)),flip(a)]. 3904 T(x,R(T(y,x),T(y,x) \ 1,x)) \ x = y \ T(y,x). [para(3764(a,2),3879(a,1,1))]. 3905 L(x,T(y,T(z,y)) \ y,z) = x. [para(3879(a,2),3869(a,1,2))]. 3906 L(x,T(y,z) \ y,(y * z) / y) = x. [para(162(a,1),3905(a,1,2,1,2))]. 3907 (x * T(x \ 1,y)) \ y = T(y,T(x \ 1,y)). [para(3198(a,1),3880(a,1,1))]. 3908 T(x / y,T(y,x)) = y \ x. [hyper(168,a,1166,a,b,3883,a)]. 3909 T(x,T(y,x * y)) = y \ (x * y). [hyper(168,a,1148,a(flip),b,3883,a)]. 3910 T(x,y) \ ((x * y) / x) = x \ y. [hyper(80,a,3883,a)]. 3911 L(((x * y) / x) / y,y,x) = K(T(x,y),y). [para(3883(a,1),3160(a,1,1,1))]. 3912 T(x \ y,T(x,y)) = T(x \ y,x). [para(3908(a,1),183(a,1,1)),flip(a)]. 3913 x \ (y * T(y \ x,T(y,x))) = K(y \ x,T(y,x)). [para(3908(a,1),1589(a,1,1)),flip(a)]. 3914 K(T(x / y,T(y,x)) \ 1,T(x / y,T(y,x))) = K(x \ y,y \ x). [para(3908(a,1),3445(a,2,2))]. 3915 T(x / y,(x * y) / x) = y \ x. [hyper(168,a,3888,a(flip),b,1281,a(flip))]. 3917 R(T(x,x * y),y,x) = (x / T(y,x)) * y. [para(3889(a,1),1316(a,1,1))]. 3918 ((x * y) * y) / (x * y) = x \ T(x * y,y). [para(15(a,1),3891(a,1,1)),flip(a)]. 3919 T(x,T(y,x * y)) = T(x,y). [hyper(236,a,32,a,b,3909,a)]. 3920 T(x,T(x \ y,y)) = T(x,x \ y). [para(14(a,1),3919(a,1,2,2))]. 3922 T(T(x,y),x) * L(T(T(x,y),x) \ y,z,u) = T(T(x,y) * L(x \ y,z,u),x). [para(3910(a,1),2250(a,1,1,2,1)),flip(a)]. 3923 T(x,y) * T(x \ y,x) = (x \ y) * T(x,y). [para(3912(a,1),119(a,1,2))]. 3925 x \ (y * T(y \ x,T(y,x))) != z | K(y \ x,y) = z. [para(3912(a,2),717(a,1,2,2))]. 3926 R(x,x \ T(x,y),z) = x. [hyper(732,a,3871,a)]. 3927 R(x,T(y,x) \ y,z) = x. [para(3745(a,2),3926(a,1,2))]. 3929 T(x,y \ 1) * (x \ (y * z)) = y * ((x \ T(x,y \ 1)) * z). [hyper(236,a,3820,a(flip),b,3872,a(flip))]. 3930 T(x,y) * (x \ (z * K(x \ 1,x))) = ((x \ 1) * T(x,y)) * z. [hyper(236,a,3463,a(flip),b,3872,a(flip))]. 3931 (T(x,y) * z) / (x * z) = x \ T(x,y). [hyper(87,a,3873,a)]. 3932 (x \ T(x,y)) \ (T(x,y) * z) = x * z. [hyper(80,a,3873,a)]. 3933 (x \ T(x,y)) \ (T(x,y) * z) != u | x * z = u. [para(3873(a,1),283(a,1,2)),flip(b)]. 3936 T(T(x,x * y) * y,x) = x * y. [para(3884(a,1),162(a,1,1))]. 3937 T(x,x \ (y \ x)) \ (y \ T(x,y \ 1)) = x \ (y \ x). [hyper(72,a,3773,a,b,3886,a)]. 3938 (x \ T(x,x \ y)) * y = x * (y / x). [hyper(236,a,3872,a,b,3886,a(flip)),flip(a)]. 3941 T(x * (T(x,T(y,x)) \ x),y) = x. [para(3903(a,1),162(a,1,1))]. 3942 R(x \ T(x,y),x,z) = x \ T(x,y). [hyper(3212,a,3931,a)]. 3943 R(K(x,y),x,z) = L(x \ T(x,T(y,x)),T(y,x),x). [para(3931(a,1),3826(a,1,1)),flip(a)]. 3945 (x * T(x \ y,z)) / y = (y / x) \ T(y / x,z). [hyper(236,a,3318,a(flip),b,3942,a(flip)),flip(a)]. 3947 L(x \ T(x,y),y,x) = K(T(x,y),y). [para(3747(a,1),3911(a,1,1))]. 3948 K(T(x,y),y) = K(x,(x * y) / x). [hyper(236,a,3751,a(flip),b,3947,a(flip))]. 3949 K(T(x,x \ y),x \ y) = K(x,y / x). [para(14(a,1),3948(a,2,2,1))]. 3950 K(T(x,T(y,x)),T(y,x)) = K(x,y). [para(163(a,1),3948(a,2,2))]. 3951 R(T(x,x * y),y,x) = T(x,T(y,x)). [hyper(236,a,3890,a(flip),b,3917,a)]. 3952 (x * y) * T(x,T(y,x)) = R(x,y,x) * (x * y). [para(3951(a,1),182(a,1,2))]. 3953 L(R(x,y,x),y,x) * y = y * T(x,T(y,x)). [para(3951(a,1),989(a,1,2)),flip(a)]. 3954 (x / y) * (x / (x / y)) = (y \ x) * y. [para(121(a,1),3887(a,1,1)),flip(a)]. 3955 T(x \ T(x * y,y),x * y) = y. [para(3918(a,1),162(a,1,1))]. 3956 T(x \ T(x * y,y),x) = R(y,x,y). [para(3918(a,1),746(a,2,1)),flip(a)]. 3957 (x \ T(x * y,y)) * x = x * R(y,x,y). [para(3918(a,1),758(a,1,1))]. 3958 ((x * y) * y) / (x * y) != z | x \ T(x * y,y) = z. [para(3955(a,1),300(a,1,1,2)),flip(b)]. 3959 (x * R(y,x,y)) \ T(x * y,y) = K(x,x \ T(x * y,y)). [para(3957(a,1),97(a,1,1))]. 3960 T((x * y) / x,T(x,y)) = L(R(y,x,y),x,y). [hyper(18,a,406,a,b,3953,a),flip(a)]. 3961 T(x \ T(x * y,y),T(x * y,y)) = L(R(y,x * y,y),x * y,y). [para(3918(a,1),3960(a,1,1))]. 3962 (x \ T(x,y)) \ z != u | x * (T(x,y) \ z) = u. [para(14(a,1),3933(a,1,2))]. 3963 T(x,T(y,x)) != z | y * (T(y,x) \ x) = z. [para(3880(a,1),3962(a,1))]. 3964 L(x \ T(x,T(y,x)),T(y,x),x) != z | K(x,y) = z. [para(3943(a,1),343(a,1)),flip(b)]. 3966 ((x \ y) / y) \ T((x \ y) / y,z) = x * T(x \ 1,z). [hyper(1105,a,3945,a),flip(a)]. 3968 R(K(x,y),x,z) = K(x,y). [hyper(3964,a,3943,a(flip)),flip(a)]. 3969 K(T(x,T(y,x)),T(y,x)) != z | K(x,y) = z. [para(3947(a,1),3964(a,1))]. 3970 R(K(x,y),x,z) != u | K(x,y) = u. [para(3943(a,2),3964(a,1))]. 3971 (K(x,y) * x) * z = K(x,y) * (x * z). [para(3968(a,1),113(a,1,1)),flip(a)]. 3972 L(x,y,K(y,z)) = x. [hyper(436,a,3971,a)]. 3974 L(x,y,K(y,z)) = 1 * x. [hyper(319,a,3972,a),flip(a)]. 3976 L(x,y / z,(z * (y / z)) \ y) = x. [para(99(a,2),3972(a,1,3))]. 3980 L(x,y,K(y,z)) != u | u = x. [para(3974(a,2),75(a,1))]. 3982 (x * (T(y,x) \ y)) \ x = y \ T(y,x). [para(3269(a,1),3904(a,1,1))]. 3984 (x * (y \ T(y,x))) \ (x * x) = x * (T(y,x) \ y). [para(3982(a,1),3310(a,1,1,2))]. 3986 (x * (y \ T(y,x))) \ x = T(y,x) \ y. [hyper(3313,a,3984,a)]. 3987 ((x * y) / x) \ y = T(x,y) \ x. [para(3738(a,1),3986(a,1,1))]. 3988 T(x,x \ y) \ x = (y / x) \ (x \ y). [para(3739(a,1),3986(a,1,1)),flip(a)]. 3989 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,((x * y) / x) \ y,(x * y) / x). [para(3987(a,1),1280(a,1,2,2,1))]. 3990 (T(x,y) \ x) * ((x * y) / x) = y. [para(3987(a,1),3227(a,1,1))]. 3991 T(x,R(y,y \ 1,x)) \ x = ((x * y) / x) \ y. [para(3764(a,2),3987(a,2,1)),flip(a)]. 3992 L(x,y,y \ 1) \ ((1 / y) * (x * y)) = T(y,(1 / y) * (x * y)) \ y. [hyper(3468,a,3990,a)]. 3993 T(x,x \ y) \ x = x \ (y / (y / x)). [hyper(236,a,3796,a(flip),b,3988,a)]. 3994 T(x,R(y,y \ 1,x)) \ 1 = x \ (((x * y) / x) \ y). [hyper(72,a,3991,a(flip),b,1004,a),flip(a)]. 3995 K(x \ y,T(x,y)) = K(x \ y,x). [hyper(3925,a,3913,a),flip(a)]. 3996 K(x \ (x * y),x) = K(y,T(x,x * y)). [hyper(236,a,660,a(flip),b,3995,a(flip))]. 3997 K(x,T(y,y * x)) = K(x,y). [hyper(236,a,660,a(flip),b,3996,a(flip))]. 3999 T(x,x \ (((x * y) / x) \ y)) = T(x,x \ 1). [para(3994(a,1),2496(a,1,2))]. 4000 T(x,x \ (y \ T(y,x))) = T(x,x \ 1). [para(163(a,1),3999(a,1,2,2,1))]. 4001 T(x,x \ ((((x * y) \ x) \ 1) \ (((x * y) \ x) \ K(y,x)))) = T(x,x \ 1). [para(1240(a,1),4000(a,1,2,2,2))]. 4002 x \ ((y \ x) / ((y \ x) / x)) = y * T(y \ 1,x). [hyper(236,a,3744,a(flip),b,3966,a(flip)),flip(a)]. 4003 T(x,T((y \ z) / z,x)) = (y * T(y \ 1,x)) \ x. [para(3966(a,1),3880(a,1,1)),flip(a)]. 4004 T(x,T((y \ z) / z,x)) = T(x,T(y \ 1,x)). [hyper(236,a,3907,a(flip),b,4003,a)]. 4005 T(x,y \ 1) * (x \ (y * z)) = y * (T(x,y \ 1) * (x \ z)). [para(3872(a,1),3929(a,2,2))]. 4006 T(x,y) * (T(x,x \ 1) \ z) = ((x \ 1) * T(x,y)) * z. [para(2937(a,1),3930(a,1,2))]. 4007 (((x \ 1) \ 1) * T(x \ 1,y)) * z = T(1 / x,y) * ((x \ 1) \ z). [hyper(236,a,3371,a(flip),b,4006,a(flip))]. 4008 K((x / y) \ 1,x / y) = K(x \ y,y \ x). [hyper(236,a,3333,a(flip),b,3914,a(flip)),flip(a)]. 4009 K(x / y,(x / y) \ 1) = K(y \ x,x \ y). [hyper(2889,a,4008,a)]. 4011 K(x \ y,y \ x) * (y / x) = ((y / x) \ 1) \ 1. [para(4009(a,1),1745(a,1,1))]. 4012 x * K(x / y,(x / y) \ 1) = y * (((y \ x) \ 1) \ 1). [para(4009(a,2),2714(a,1,2))]. 4013 K(((x * y) * z) \ (y * z),R(T(x,y * z),y,z)) * ((y * z) / ((x * y) * z)) = (((y * z) / ((x * y) * z)) \ 1) \ 1. [para(615(a,1),4011(a,1,1,2))]. 4014 T(1 / x,y) * ((x \ 1) \ z) = (x * T(1 / x,y)) * z. [para(3283(a,1),4007(a,1,1)),flip(a)]. 4015 (T(1 / x,y) * z) / ((x * T(1 / x,y)) * z) = x \ 1. [para(4014(a,1),3400(a,1,2))]. 4016 T(1 / x,y) * ((x * T(1 / x,y)) \ z) = (x \ 1) * z. [para(4015(a,1),245(a,1,1)),flip(a)]. 4017 L(K(x,y),y * x,y \ 1) = T(y,(1 / y) * (x * y)) \ y. [hyper(3632,a,3992,a)]. 4018 L(K(x,y),y * x,y \ 1) = T(y,(y \ 1) * (x * y)) \ y. [para(2962(a,1),4017(a,2,1))]. 4019 T(x,(x \ 1) * (y * x)) \ x = (y * x) / (x * y). [hyper(236,a,3824,a(flip),b,4018,a(flip))]. 4020 x * ((x \ T(x,y)) * T(z,T(x,y))) = z * (x * (x \ T(x,y))). [para(14(a,1),3882(a,1,2,2,2))]. 4022 (1 / x) * (x * (x \ T(x,y))) = x * ((x \ T(x,y)) * (x \ 1)). [para(3215(a,1),4020(a,1,2,2)),flip(a)]. 4023 (1 / x) * (x * (x \ T(x,y))) = x * ((x \ 1) * (x \ T(x,y))). [para(1374(a,1),4022(a,2,2))]. 4024 (1 / x) * (x * (x \ T(x,y))) = L(x \ T(x,y),x \ 1,x). [hyper(236,a,188,a(flip),b,4023,a)]. 4025 L(x \ T(x,y),x \ 1,x) = (1 / x) * T(x,y). [hyper(307,a,4024,a),flip(a)]. 4027 L(x \ T(x,y),x \ 1,x) = x \ T(x,y). [hyper(236,a,3196,a(flip),b,4025,a)]. 4028 L(x \ (x * K(x,y)),x \ 1,x) = x \ T(x,R(y,x,(y * x) \ x)). [para(1559(a,1),4027(a,1,1,2))]. 4029 x \ T(x,R(y,x,(y * x) \ x)) = L(K(x,y),x \ 1,x). [para(13(a,1),4028(a,1,1)),flip(a)]. 4031 L(K(x,y),x \ 1,x) = x \ (x * K(x,y)). [para(1559(a,1),4029(a,1,2)),flip(a)]. 4032 L(K(x,y),x \ 1,x) != z * u | z \ K(x,y) = u. [para(4031(a,2),305(a,1))]. 4033 (x \ 1) * K(x,y) = x \ K(x,y). [hyper(4032,a,188,a(flip)),flip(a)]. 4034 K(x,y) * (x \ 1) = x \ K(x,y). [hyper(1385,a,4033,a)]. 4035 K(x,y) \ (x \ K(x,y)) = x \ 1. [hyper(72,a,4033,a(flip),b,1384,a)]. 4036 x \ K(x,y) != z * K(x,y) | x \ 1 = z. [para(4033(a,1),20(a,1))]. 4037 K(x,y) \ (x \ K(x,y)) != z | x \ 1 = z. [para(4034(a,1),283(a,1,2)),flip(b)]. 4038 K(x,y) \ (x \ K(x,y)) != z * u | (x \ 1) / u = z. [para(4034(a,1),428(a,1,2))]. 4039 K(x,y) * ((x \ 1) * z) != (x \ K(x,y)) * u | L(z,x \ 1,K(x,y)) = u. [para(4034(a,1),436(a,1,1)),flip(a)]. 4040 T(x,x \ K(y,x)) = T(x,x \ 1). [para(3249(a,1),4001(a,1,2,2))]. 4041 K(x,y) / T(y,y \ 1) = y \ K(x,y). [para(4040(a,1),197(a,1,2))]. 4042 K(x,y) * K(y \ 1,y) = (y \ K(x,y)) * y. [para(4041(a,1),2786(a,1,1)),flip(a)]. 4043 (x \ K(y,x)) * K(x,x \ 1) = K(y,x) / x. [para(4041(a,1),2835(a,1,1))]. 4044 K(x,y) * K(y,y \ 1) = y * (K(x,y) / y). [para(4043(a,1),2347(a,1,2)),flip(a)]. 4045 x * (x * (K(y,x) / x)) = (x \ 1) \ K(y,x). [para(4044(a,1),3281(a,1,2))]. 4046 x * (T(x,y) \ (x * (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). [hyper(72,a,4045,a(flip),b,1002,a),flip(a)]. 4047 x * (x * (T(x,y) \ (K(z,x) / x))) = T(x,y) \ ((x \ 1) \ K(z,x)). [para(1003(a,1),4046(a,1,2))]. 4048 T(x,y) * L(T(T(x,y),x) \ y,z,u) = T(T(x,y) * L(x \ y,z,u),x). [para(131(a,1),3922(a,1,1))]. 4049 T(T(x,y) * L(x \ y,z,u),x) = T(x,y) * L(T(x,y) \ y,z,u). [para(131(a,1),4048(a,1,2,1,1)),flip(a)]. 4050 T(T(x,y) * L(x \ y,z,u),x) = T(x * L(x \ y,z,u),y). [hyper(236,a,2090,a(flip),b,4049,a)]. 4051 T(x * L(x \ (x * y),z,u),x * y) = T(T(x,x * y) * L(y,z,u),x). [para(13(a,1),4050(a,1,1,2,1)),flip(a)]. 4052 T(T(x,x * y) * L(y,z,u),x) = T(x * L(y,z,u),x * y). [para(13(a,1),4051(a,1,1,2,1)),flip(a)]. 4053 ((x * y) / x) * (y \ ((T(x,y) \ x) * z)) = L(z,T(x,y) \ x,(x * y) / x). [para(3987(a,1),3989(a,2,2))]. 4054 x \ ((T(y,x) \ y) * z) = ((y * x) / y) \ z. [hyper(72,a,3906,a(flip),b,4053,a),flip(a)]. 4055 x * (((y * x) / y) \ z) = (T(y,x) \ y) * z. [para(4054(a,1),14(a,1,2))]. 4056 R(x \ T(x,y),y,((x * y) / x) \ z) \ z = (T(x,y) \ x) * z. [hyper(236,a,3757,a,b,4055,a(flip)),flip(a)]. 4058 (T(x,y) \ x) * (x * y) = y * x. [para(65(a,1),4055(a,1,2)),flip(a)]. 4059 K(x,y) = T(T(y,x) \ y,y * x). [hyper(168,a,4058,a,b,95,a),flip(a)]. 4060 (x * y) / (y * x) = T(y,x) \ y. [hyper(87,a,4058,a)]. 4063 T(x / y,y) \ (x / y) = (y * (x / y)) / x. [para(16(a,1),4060(a,1,2)),flip(a)]. 4064 T(x,y / x) \ x != z | y / (x * (y / x)) = z. [para(4060(a,1),379(a,1))]. 4065 (x * (y / x)) / y = (x \ y) \ (y / x). [para(121(a,1),4063(a,1,1)),flip(a)]. 4066 (x * (y / x)) / y = x \ ((x \ y) \ y). [hyper(3759,a,4065,a(flip)),flip(a)]. 4068 x \ ((x \ (y \ x)) \ (y \ x)) = x \ T(x,y \ 1). [hyper(236,a,3798,a(flip),b,4066,a(flip))]. 4069 (x \ T(x,y \ 1)) * x = T(x,x \ (y \ x)). [para(4068(a,1),3209(a,1,1))]. 4070 T(x,x \ (y \ x)) = T(x,y \ 1). [hyper(3199,a,4069,a),flip(a)]. 4071 T(x * y,(x * y) \ y) = T(x * y,x \ 1). [para(13(a,1),4070(a,1,2,2))]. 4072 T(x,(x / y) \ 1) = T(x,x \ y). [para(65(a,1),4070(a,1,2,2)),flip(a)]. 4073 (x \ (y \ x)) * T(x,y \ 1) = y \ x. [para(4070(a,1),165(a,1,2))]. 4074 (x \ y) / T(y,x \ 1) = y \ (x \ y). [para(4070(a,1),197(a,1,2))]. 4076 x \ ((y \ x) / ((y \ x) / x)) = T(x,y \ 1) \ x. [para(4070(a,1),3993(a,1,1)),flip(a)]. 4077 T(x,y \ 1) \ (y \ T(x,y \ 1)) = x \ (y \ x). [para(4070(a,1),3937(a,1,1))]. 4078 (x / y) \ T(x,x \ y) = x * (y / x). [para(4072(a,1),3788(a,1,2))]. 4079 (x \ ((1 / y) \ x)) * T(x,y) = (1 / y) \ x. [para(65(a,1),4073(a,1,2,2))]. 4080 ((x \ 1) \ y) / T(y,x) = y \ ((x \ 1) \ y). [para(3020(a,1),4074(a,1,2))]. 4081 (x / (y * x)) \ T(x,x \ (y * x)) = x * y. [para(15(a,1),4078(a,2,2))]. 4082 ((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(4078(a,1),1887(a,1,1,2,1))]. 4083 T(x * y,x \ 1) = ((x * y) \ y) \ y. [hyper(375,a,4071,a),flip(a)]. 4084 x / T(y * x,y \ 1) = (y * x) \ x. [para(4071(a,1),197(a,1,2))]. 4085 T(x * y,x \ 1) != z | ((x * y) \ y) \ y = z. [para(4071(a,1),375(a,1))]. 4086 ((x \ 1) \ 1) \ (((x * y) \ y) \ y) = ((x \ 1) \ (((x \ 1) \ 1) \ (x * y))) * (x \ 1). [hyper(72,a,4083,a(flip),b,1628,a(flip))]. 4087 (x * y) * ((((x \ 1) \ 1) \ (x * y)) / (x * y)) = ((x \ 1) \ 1) \ (((x * y) \ y) \ y). [para(4083(a,1),3786(a,1,2)),flip(a)]. 4089 (x / (y * x)) \ T(x,T(y,x)) = x * y. [para(32(a,2),4081(a,1,2,2))]. 4090 T((x \ 1) * y,x) != z | (((x \ 1) * y) \ y) \ y = z. [para(3020(a,1),4085(a,1))]. 4091 T(x,y \ 1) \ x = y * T(y \ 1,x). [hyper(236,a,4002,a(flip),b,4076,a(flip))]. 4092 K(x \ (x / y),x) = T(x,y \ 1) \ x. [hyper(236,a,1040,a,b,4091,a),flip(a)]. 4093 T(x,(y \ 1) \ 1) \ x = y \ T(y,x). [hyper(236,a,927,a(flip),b,4091,a)]. 4094 (T(x,y \ 1) \ x) \ (y * (T(y \ 1,x) * z)) != u | L(z,T(y \ 1,x),y) = u. [para(4091(a,2),447(a,1,1))]. 4096 K(x \ (x / y),x) \ x = T(x,y \ 1). [para(4092(a,2),3130(a,1,1))]. 4097 T(x,y) \ x = y \ T(y,x). [para(3020(a,1),4093(a,1,1))]. 4098 T(x,y / x) \ x = x \ (y / (y / x)). [hyper(236,a,3744,a(flip),b,4097,a)]. 4099 T(x,y) * (y \ T(y,x)) = x. [para(4097(a,1),14(a,1,2))]. 4100 (x * y) / x = y * (T(y,x) \ y). [para(4097(a,2),3738(a,1,2)),flip(a)]. 4101 x * ((T(y,x) \ y) * z) = T(x,y) * z. [para(4097(a,2),3868(a,1,2,1))]. 4102 T(x,y) * (x \ z) = (T(y,x) \ y) * z. [para(4097(a,2),3872(a,1,1)),flip(a)]. 4103 K(x,y) = T(x \ T(x,y),y * x). [para(4097(a,1),4059(a,2,1))]. 4104 T(x,T(y,x)) = T(x,y). [hyper(3901,a,4099,a)]. 4106 T(x,y) * T(y,x) = x * y. [para(4099(a,1),3763(a,1,1)),flip(a)]. 4107 x * (T(x,y) \ y) = T(y,x). [hyper(3963,a,4104,a)]. 4108 T(x \ y,x) = ((x \ y) \ y) \ y. [hyper(562,a,4104,a),flip(a)]. 4109 T(x,x \ y) \ y = T(x \ y,x). [hyper(378,a,4104,a)]. 4110 T(x,y) \ (x * y) = T(y,x). [hyper(376,a,4104,a)]. 4111 T(x / T(y,x),y) = y \ T(x,y). [hyper(394,a,4104,a(flip),b,3890,a)]. 4112 R(T(x,x * y),y,x) = T(x,y). [hyper(236,a,3951,a,b,4104,a(flip)),flip(a)]. 4113 (x / T(y,x)) * y = T(x,y). [hyper(236,a,3890,a,b,4104,a(flip)),flip(a)]. 4114 T(x,T(y \ 1,x)) = T(x,(y \ z) / z). [hyper(236,a,4004,a(flip),b,4104,a(flip)),flip(a)]. 4115 T(x,y) / y = x / T(y,x). [hyper(74,a,4104,a(flip),b,3890,a)]. 4116 T(x,y) / (T(y,x) \ x) = y. [hyper(74,a,4104,a(flip),b,1018,a)]. 4117 T(x,y) \ y = x \ T(y,x). [hyper(72,a,4104,a(flip),b,1018,a),flip(a)]. 4118 T(x,L(T(y,x),z,u)) = T(x,L(y,z,u)). [para(40(a,2),4104(a,1,2))]. 4119 T(x,y / x) = T(x,x \ y). [para(121(a,1),4104(a,1,2)),flip(a)]. 4120 T(x,y) * T(T(y,x),z) = T(y,z) * T(x,y). [para(4104(a,1),180(a,1,2,1))]. 4121 (x * y) / T(y,x) = T(x,y). [para(4104(a,1),199(a,1,2))]. 4122 T(x,y) * L(T(y,x),z,u) = L(y,z,u) * T(x,y). [para(4104(a,1),181(a,1,2,1))]. 4123 T(x,y) * R(T(y,x),z,u) = R(y,z,u) * T(x,y). [para(4104(a,1),182(a,1,2,1))]. 4124 T(x,y) * T(T(y,x),z) != u | T(y,z) * T(x,y) = u. [para(4104(a,1),368(a,1,2,1))]. 4127 T(x * (T(x,y) \ x),y) = x. [para(4104(a,1),3941(a,1,1,2,1))]. 4128 K(T(x,y),T(y,x)) = K(x,y). [para(4104(a,1),3950(a,1,1))]. 4129 R(x,y,x) * (x * y) = (x * y) * T(x,y). [para(4104(a,1),3952(a,1,2)),flip(a)]. 4130 (x / (y * x)) \ T(x,y) = x * y. [para(4104(a,1),4089(a,1,2))]. 4131 T(x,y) * (x \ T(y,x)) = y. [hyper(1017,a,4106,a)]. 4132 x * T(y,z) != z * y | T(z,y) = x. [para(4106(a,1),20(a,1)),flip(a)]. 4133 (x * (y * z)) \ ((x * T(y,z)) * T(z,y)) = a(x,T(y,z),T(z,y)). [para(4106(a,1),24(a,2,1,2)),flip(a)]. 4134 (T(x,y) * (T(y,x) * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(4106(a,1),24(a,2,2,1)),flip(a)]. 4136 R(x,T(y,z),T(z,y)) * (y * z) = (x * T(y,z)) * T(z,y). [para(4106(a,1),113(a,1,2))]. 4137 T(x,y) * (y * x) = x * (x * y). [para(4106(a,1),999(a,1,2)),flip(a)]. 4138 T(x,y) = (x \ (y * x)) \ (y * x). [para(32(a,1),4110(a,1,1)),flip(a)]. 4139 T(x,y) = (x * (x * y)) / (y * x). [hyper(1311,a,4113,a),flip(a)]. 4140 T(x,y) / T(y,x) = x / T(T(y,x),x). [hyper(74,a,4104,a(flip),b,4113,a)]. 4142 (T(x,y) / y) \ x = T(y,x). [para(4115(a,2),65(a,1,1))]. 4143 (x / T(y,x)) * y != z | T(x,y) = z. [para(4115(a,1),221(a,1,1)),flip(b)]. 4144 T(x * (y / x),x) = x * (y / T(x,y)). [para(4115(a,1),1355(a,2,2))]. 4145 T(x,y) \ ((T(y,x) \ x) * y) = K(y \ T(x,y),y). [para(4117(a,2),96(a,1,2,1))]. 4146 (T(x,y) * ((x \ T(y,x)) * z)) \ (y * z) = a(T(x,y),T(x,y) \ y,z). [para(4117(a,1),92(a,1,1,2,1))]. 4147 T((x \ y) * x,x) = (T(x,y) \ y) * x. [para(4117(a,2),1352(a,2,1))]. 4148 T(x,x * y) * R(x \ T(x * y,x),z,u) = T(x * R(y,z,u),x * y). [para(4117(a,1),1970(a,1,2,1))]. 4149 T(x,y / x) = (x \ y) \ y. [hyper(236,a,120,a(flip),b,4119,a)]. 4150 R(T(x,y),y / x,x) = T(x,x \ y). [hyper(236,a,763,a,b,4119,a(flip)),flip(a)]. 4151 (x / y) * T(y,y \ x) = y * (x / y). [para(4119(a,1),119(a,1,2))]. 4152 (x * (y / x)) / T(x,x \ y) = y / x. [para(4119(a,1),138(a,1,2))]. 4153 T(x,y / x) != z | (x \ y) \ y = z. [para(4119(a,2),375(a,1))]. 4156 (x * (y / x)) * x = y * T(x,x \ y). [para(4119(a,1),891(a,2,2))]. 4157 (x * y) \ (y * T(x,x \ y)) = a(x,y / x,x). [para(4119(a,1),893(a,1,2,2))]. 4158 x \ (T(x,y / x) / (1 / (x \ y))) = (x / (1 / (x \ y))) / x. [para(4119(a,2),3806(a,1,2,1))]. 4159 (x * R(y,z,u)) / R(T(y,x),z,u) = T(x,R(y,z,u)). [para(42(a,2),4121(a,1,2))]. 4160 (T(x,y) * (y * x)) / T(x,y) = T(y,x) * T(T(x,y),y * x). [para(4121(a,1),1166(a,1,1)),flip(a)]. 4162 ((x / y) * ((y \ x) \ x)) / (x / y) = y. [para(4149(a,1),163(a,1,1,2))]. 4165 R(T(x,y),x \ y,x) = T(x,x \ y). [para(14(a,1),4112(a,1,1,2))]. 4166 T((T(x,y) * y) / T(x,y),x) = y. [para(4100(a,2),3941(a,1,1))]. 4167 x \ T(x,T(y,(y \ 1) * x) \ 1) = K(x,y \ 1). [hyper(236,a,3810,a,b,4103,a),flip(a)]. 4168 T((x / y) \ x,x / y) = (y \ x) \ x. [para(65(a,1),4108(a,2,1,1))]. 4169 L((((x \ y) \ z) \ z) \ z,x \ y,x) = T(y \ (x * z),x \ y). [para(4108(a,1),725(a,1,1))]. 4170 T(x,x \ T(x * y,y)) \ T(x * y,y) = R(y,x,y). [hyper(236,a,3956,a(flip),b,4109,a)]. 4171 T(x,y) / (x * y) = x / (y * x). [para(4130(a,1),62(a,1,2))]. 4172 T(x,T(y,x)) != z | T(x,y) = z. [para(4166(a,1),672(a,1,1))]. 4173 T(x,y) / (x * y) = R(1 / y,y,x). [hyper(236,a,159,a,b,4171,a)]. 4174 T(x,x \ y) / y = x / ((x \ y) * x). [para(14(a,1),4171(a,1,2))]. 4175 R(T(x,y),x \ y,x) = (x \ y) \ y. [hyper(236,a,120,a(flip),b,4165,a)]. 4177 T(x,y) = R(1 / y,y,x) * (x * y). [para(4173(a,1),16(a,1,1)),flip(a)]. 4178 R(T(T(x,y),z),x \ y,x) = T((x \ y) \ y,z). [para(4175(a,1),42(a,2,1))]. 4179 (x / y) * (x * (y / x)) = T(x,y / x). [para(355(a,1),4177(a,2,1)),flip(a)]. 4180 T(x,(y \ x) \ 1) = K(x \ y,x) \ x. [para(62(a,1),4096(a,1,1,1,2)),flip(a)]. 4181 x / (y * (x / y)) = y \ (x / (x / y)). [hyper(4064,a,4098,a)]. 4182 (T(x,y / z) \ x) * y = z * T(z \ y,x). [hyper(17,a,1034,a,b,4101,a)]. 4183 x * (((y * x) / y) \ z) = T(x,y) * (x \ z). [hyper(236,a,4055,a,b,4102,a),flip(a)]. 4184 T(x,(y \ z) / z) = T(x,y \ 1). [hyper(4172,a,4114,a),flip(a)]. 4186 T(x,y / (z * y)) = T(x,z \ 1). [para(13(a,1),4184(a,1,2,1))]. 4187 T(x,(y / z) \ 1) = T(x,z / y). [para(65(a,1),4184(a,1,2,1)),flip(a)]. 4190 T(x,R(y \ 1,y,z)) = T(x,y \ 1). [hyper(236,a,3030,a,b,4186,a(flip)),flip(a)]. 4191 (x / (y * x)) * T(z,y \ 1) = z * (x / (y * x)). [para(4186(a,1),119(a,1,2))]. 4193 T(x \ T(x,(y * z) / z),T(y,u)) = R(x \ T(x,y),y,z). [para(4187(a,1),3828(a,1,1,2))]. 4196 T(T(x,y),L(T(z,x),u,w)) = T(T(x,L(z,u,w)),y). [para(4118(a,1),38(a,1,1)),flip(a)]. 4197 (x * (x * (T(x,y) \ y))) / T((x \ y) * x,x) = T(x,T(x,y) \ y). [para(4147(a,2),4139(a,2,2)),flip(a)]. 4198 (x / T(y,x)) * T(y,y \ T(x,y)) = y * (T(x,y) / y). [para(4115(a,1),4151(a,1,1))]. 4199 T(x * (y / x),x) = x \ (y * ((x \ y) \ y)). [hyper(394,a,257,a(flip),b,4156,a)]. 4200 (x * T(y,y \ x)) / T(y,z) = ((y * (x / y)) / T(y,z)) * y. [hyper(74,a,4156,a(flip),b,1143,a)]. 4202 T(x / (x / y),y \ x) = y. [hyper(236,a,907,a(flip),b,4162,a(flip)),flip(a)]. 4204 T(x / (x / (x / y)),y) = x / y. [para(65(a,1),4202(a,1,2))]. 4205 (x / (x / y)) * (y \ x) = (y \ x) * y. [para(4202(a,1),119(a,1,2)),flip(a)]. 4206 ((x \ y) * x) / (x \ y) = y / (y / x). [para(4202(a,1),163(a,1,1,2))]. 4208 (x * (y / x)) / x = y / (y / (y / x)). [para(4204(a,1),163(a,1,1,2))]. 4209 R(x / y,x / (x / y),x / y) = T((x * (x / y)) / x,y). [para(4204(a,1),735(a,1,1))]. 4210 T(x,y \ 1) / (y \ x) = x / ((x \ (y \ x)) * x). [para(4070(a,1),4174(a,1,1))]. 4211 ((x / y) / x) * ((y \ x) * y) = T(x / y,x / (x / y)). [para(3954(a,1),4179(a,1,2))]. 4213 (x * (y \ x)) / (x / y) = (y \ x) * y. [hyper(1197,a,4205,a)]. 4215 T(x / (x / y),x) = L(y,y \ x,y). [para(4206(a,1),665(a,1,1))]. 4218 L(x \ y,(x \ y) \ y,x \ y) = T(y / x,y). [para(62(a,1),4215(a,1,1,2)),flip(a)]. 4219 x * T(x / (x / y),x) = y * ((y \ x) * y). [para(4215(a,2),433(a,1,2))]. 4220 R(1 / (1 / (1 / x)),x,y) = (x * (y / (x * y))) / x. [para(4208(a,1),840(a,1,1))]. 4221 ((x \ y) * x) * (y / x) = y * (x \ y). [para(4213(a,1),16(a,1,1))]. 4222 (x * (y / x)) * (y / (y / x)) = y * ((y / x) \ y). [para(65(a,1),4221(a,1,1,1))]. 4223 R(x,y,T(x,y)) = R(x,y,x). [hyper(18,a,465,a,b,4129,a),flip(a)]. 4225 x \ T(y * x,y) = R(y,x,y). [hyper(1278,a,4223,a)]. 4226 L(R(x,y,x),y,x) = x. [para(4223(a,1),1279(a,1,1))]. 4227 x * R(y,x,y) = T(y * x,y). [para(4223(a,1),1277(a,1,2))]. 4228 T(x * y,x) * T(x,y) = (x * y) * R(x,y,x). [para(4223(a,1),1936(a,1,2)),flip(a)]. 4229 R(x,T(y,x),T(x,y)) = R(x,T(y,x),x). [para(4104(a,1),4223(a,1,3))]. 4230 T(x \ T(x * y,y),T(x * y,y)) = y. [hyper(236,a,3961,a,b,4226,a(flip)),flip(a)]. 4231 R(L(x,y,x),y,x) = x. [hyper(236,a,44,a,b,4226,a(flip)),flip(a)]. 4232 L(R(R(x,y,x),z,u),y,x) = R(x,z,u). [para(4226(a,1),44(a,1,1)),flip(a)]. 4233 (x * (y * x)) / x = L(x,y,x) * y. [para(4231(a,1),462(a,1,1,1))]. 4234 R(x,x \ y,x) = (x \ y) \ T(y,x). [para(14(a,1),4225(a,1,2,1)),flip(a)]. 4235 T(x * y,x) * K(R(x,y,x),y) = (y \ T(x * y,x)) * y. [para(4225(a,1),249(a,1,2,1))]. 4236 (x * y) \ (x * T(z * y,z)) = L(R(z,y,z),y,x). [para(4225(a,1),105(a,1,1)),flip(a)]. 4237 T(x * y,x) != y * z | R(x,y,x) = z. [para(4227(a,1),19(a,1))]. 4238 x \ T(y * x,y) != z | R(y,x,y) = z. [para(4227(a,1),283(a,1,2)),flip(b)]. 4239 x * (R(y,x,y) * L(R(y,x,y) \ (x \ z),u,w)) = T(y * x,y) * L((x * R(y,x,y)) \ z,u,w). [para(4227(a,1),955(a,1,1)),flip(a)]. 4240 L(x,y,z) * R(L(x,y,z) \ 1,x,x \ 1) = L(T((x \ 1) * x,x \ 1),y,z). [para(4227(a,1),2633(a,2,1))]. 4241 T((x * y) / x,L(x,y,x)) = y. [hyper(1676,a,4233,a)]. 4242 x * T(y,x * y) = L(y,x,y) * x. [hyper(1156,a,4233,a)]. 4243 ((x * (y * x)) / x) / y = L(x,y,x). [hyper(74,a,4233,a,b,xx)]. 4244 L(x,y,x) \ ((x * (y * x)) / x) = y. [hyper(72,a,4233,a,b,xx)]. 4245 T(L(x,y,x) * y,x) = y * x. [para(4233(a,1),162(a,1,1))]. 4246 L(x \ y,x,L(z,x,z)) = ((z * (x * z)) / z) \ (L(z,x,z) * y). [para(4233(a,2),105(a,2,1))]. 4247 (x * ((x \ y) * x)) / x != z | (x \ y) * T(x,y) = z. [para(4233(a,2),886(a,1))]. 4248 T(x,L(y,x,y)) = T(x,y). [para(4241(a,1),201(a,1,1)),flip(a)]. 4249 L(x,y,x) * T(y,x) = y * L(x,y,x). [para(4248(a,1),119(a,1,2))]. 4250 x * T(y,z) != y * L(z,y,z) | L(z,y,z) = x. [para(4248(a,1),171(a,1,2)),flip(b)]. 4252 T((x \ y) * T(x,y),x) = (x \ y) * x. [para(600(a,1),4245(a,1,1))]. 4253 T(x,L(x,y,x) * y) = T(x,y * x). [para(4245(a,1),4104(a,1,2)),flip(a)]. 4254 T((x * y) / x,x * y) = L(y,x,y). [hyper(414,a,4242,a)]. 4255 T(x,y * x) = T(x,x * y). [hyper(17,a,598,a,b,4242,a)]. 4256 T(x,(x \ y) * x) = T(x,y). [hyper(17,a,600,a(flip),b,4242,a)]. 4259 R(T(x,y * R(x,z,u)),z,u) = T(R(x,z,u),R(x,z,u) * y). [hyper(236,a,42,a,b,4255,a(flip)),flip(a)]. 4260 T(x,x * (y / x)) = T(x,y). [para(16(a,1),4255(a,1,2)),flip(a)]. 4261 T(T(x,x * y),z) = T(T(x,z),y * x). [para(4255(a,1),38(a,1,1))]. 4262 T(T(x,y * x),z) = T(T(x,z),x * y). [para(4255(a,2),38(a,1,1))]. 4263 T(x,T(y,y * x)) = T(x,y). [para(4255(a,1),3919(a,1,2))]. 4264 K(x,T(y,x * y)) = K(x,y). [para(4255(a,2),3997(a,1,2))]. 4265 T(T(x,y),(x \ z) * x) = T(T(x,z),y). [para(4256(a,1),38(a,1,1)),flip(a)]. 4266 ((x \ y) * x) * T(x,y) != z | x * ((x \ y) * x) = z. [para(4256(a,1),220(a,1,2))]. 4267 (((x \ y) * x) / T(x,y)) * x = T((x \ y) * x,x). [para(4256(a,1),4113(a,1,1,2))]. 4268 T(T(x,y) * (y / x),x) = x * (y / x). [para(4260(a,1),3936(a,1,1,1))]. 4269 T(x,y) * (x \ T(x * (y / x),x)) = x * (y / x). [para(4260(a,1),4131(a,1,1))]. 4270 ((x * (y / x)) / T(x,y)) * x != z | T(x * (y / x),x) = z. [para(4260(a,1),4143(a,1,1,2))]. 4271 T(x,x * y) * R(T(y,x),z,u) = R(y,z,u) * T(x,x * y). [para(4263(a,1),182(a,1,2,1))]. 4272 T(x,x * y) * L(T(y,x),z,u) != w | L(y,z,u) * T(x,x * y) = w. [para(4263(a,1),369(a,1,2,1))]. 4273 K(x,T(x \ y,y)) = K(x,x \ y). [para(14(a,1),4264(a,1,2,2))]. 4275 T(x,L(x,y,x) * y) = T(x,x * y). [hyper(236,a,4255,a(flip),b,4253,a)]. 4276 T(x,(x \ y) * T(x,y)) = T(x,(x \ y) * x). [para(600(a,1),4253(a,1,2))]. 4277 R(T(x,x * y),y,T(x,x * y)) = T(x,y). [para(4275(a,1),1177(a,1,1))]. 4279 T(x,x \ T(x * y,y)) = T(x,y). [para(4230(a,1),3920(a,1,2)),flip(a)]. 4280 K(x,x \ T(x * y,y)) = K(x,y). [para(4230(a,1),4273(a,1,2)),flip(a)]. 4281 K(x,y) = (x * R(y,x,y)) \ T(x * y,y). [hyper(236,a,3959,a,b,4280,a(flip))]. 4282 T(T(x,y),z * x) = T(T(x,y),x * z). [hyper(417,a,4261,a),flip(a)]. 4283 T(T(x,y),x * z) != u | T(T(x,y),z * x) = u. [para(4262(a,1),417(a,1))]. 4284 T(T(x,y),z * x) != u | T(T(x,x * z),y) = u. [para(4282(a,2),417(a,1))]. 4285 K(x,y) = T(y * x,y) \ T(x * y,y). [para(4227(a,1),4281(a,2,1))]. 4286 T(x,y) \ (y * x) = T(T(y,x),x). [hyper(72,a,4106,a(flip),b,4120,a)]. 4287 T(x,y) * T(T(y,z),x) = T(y,z) * T(x,y). [hyper(236,a,122,a,b,4120,a(flip)),flip(a)]. 4288 L(T(x,y),z,u) \ (y * L(x,z,u)) = T(T(y,L(x,z,u)),L(x,z,u)). [para(40(a,2),4286(a,1,1))]. 4289 (T(x,(y / z) / (1 / z)) \ x) * (y / z) = T(y,x) / z. [hyper(236,a,1605,a(flip),b,4182,a)]. 4291 ((x * y) / x) \ x = y \ ((y * x) / y). [hyper(72,a,3883,a(flip),b,4183,a),flip(a)]. 4292 ((x * y) / x) \ (y * z) = T(y,x) * (y \ z). [hyper(236,a,1267,a,b,4183,a(flip)),flip(a)]. 4294 x \ (y * ((x \ y) \ y)) = x * (y / T(x,y)). [hyper(236,a,4144,a(flip),b,4199,a(flip))]. 4295 (x / (x / y)) * x = y * ((y \ x) * y). [hyper(220,a,4219,a)]. 4296 T(x,(x \ y) * T(x,y)) = T(x,y). [hyper(236,a,4256,a(flip),b,4276,a)]. 4297 R(T(x,y),x \ y,T(x,y)) = T(x,x \ y). [para(4296(a,1),1173(a,1,1))]. 4298 L(T(x,y),T(z,x),z / T(z,x)) * z = (z / T(z,x)) * (T(x,y) * T(z,x)). [para(4287(a,1),724(a,1,2)),flip(a)]. 4299 R(T(T(x,y),(x \ z) * x),x \ z,x) = T((x \ z) \ z,y). [para(4265(a,2),4178(a,1,1))]. 4301 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(2927(a,1),4077(a,2,2))]. 4302 T(x,y) * T(y,y * x) = L(y,x,y) * T(x,y). [para(595(a,1),4122(a,1,2))]. 4303 T(x,y) * T(y,y * x) = x * L(y,x,y). [hyper(236,a,4249,a(flip),b,4302,a)]. 4305 T(x,y) * T(y,x * y) = x * L(y,x,y). [para(4255(a,2),4303(a,1,2))]. 4306 L(x,T(y,x),x) * T(y,x) = y * L(x,y,x). [hyper(236,a,602,a,b,4305,a(flip)),flip(a)]. 4307 L(x,T(y,x),x) = L(x,y,x). [hyper(4250,a,4306,a),flip(a)]. 4308 ((x * (y * x)) / x) / y = L(x,T(y,x),x). [hyper(236,a,4243,a,b,4307,a),flip(a)]. 4309 (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(4123(a,1),174(a,1,1,2))]. 4310 R(x,y,x) * T(x * y,x) = T(x * y,x) * T(x,y). [para(4112(a,1),4123(a,1,2)),flip(a)]. 4311 R(x,y / x,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(4150(a,1),4123(a,1,2)),flip(a)]. 4312 R(x,x \ y,x) * T(y,x) = T(y,x) * T(x,x \ y). [para(4165(a,1),4123(a,1,2)),flip(a)]. 4314 ((x \ 1) / L(x \ 1,x,y)) * T(z,(x * ((y * x) \ y)) \ 1) = z * ((x \ 1) / ((x * ((y * x) \ y)) * (x \ 1))). [para(1055(a,1),4191(a,1,1,2))]. 4315 (x * (y / x)) * (y / (y / x)) = y * x. [para(65(a,1),4222(a,2,2))]. 4316 (x * y) * ((y * x) / ((y * x) / x)) = (y * x) * x. [para(15(a,1),4315(a,1,1,2))]. 4317 ((x \ y) * x) / T(x,y) = x \ T(y,x). [hyper(18,a,1352,a(flip),b,4267,a)]. 4318 (x \ T(y,x)) * T(x,y) = (x \ y) * x. [para(4317(a,1),16(a,1,1))]. 4320 T(x,y) * (T(y,x) / x) = x * (y / x). [para(1357(a,1),4269(a,1,2))]. 4321 T(x,y) * (y / T(x,y)) = x * (y / x). [para(4115(a,1),4320(a,1,2))]. 4322 T(x,y) * z != x * (y / x) | y / T(x,y) = z. [para(4321(a,1),19(a,1)),flip(a)]. 4323 (x * y) * ((y * x) / y) = (y * x) * x. [para(15(a,1),4316(a,1,2,2))]. 4324 x * (((y \ x) * y) / (y \ x)) = ((y \ x) * y) * y. [hyper(515,a,4323,a)]. 4325 ((x \ y) * x) * x = y * (y / (y / x)). [para(4206(a,1),4324(a,1,2)),flip(a)]. 4326 ((x \ T(y,x)) * T(x,y)) * T(x,y) = y * (y / (y / T(x,y))). [para(4117(a,1),4325(a,1,1,1))]. 4327 (x * R(x * K(y,x),z,u)) / R(x * K(y,x),z,u) = T(x,R(x * K(y,x),z,u)). [para(2004(a,1),4159(a,1,2,1))]. 4328 T(x,y) \ T(x * y,y) = R(y,x,y). [para(4279(a,1),4170(a,1,1))]. 4329 (x \ (y * x)) \ T(y * x,x) = R(x,y,x). [para(32(a,1),4328(a,1,1))]. 4330 R(x,y,x) * T(x * y,x) = (x * y) * R(x,y,x). [hyper(236,a,4228,a(flip),b,4310,a)]. 4331 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) = L(R(x,y,x),y,R(x,y,x)). [para(4330(a,1),4236(a,1,2))]. 4332 R(x,y / x,x) = R(x,x \ y,x). [hyper(18,a,4311,a,b,4312,a),flip(a)]. 4334 R(x,(x * y) / x,x) = R(x,y,x). [para(13(a,1),4332(a,2,2))]. 4335 R(x,T(y,x),x) = R(x,y,x). [para(163(a,1),4334(a,1,2)),flip(a)]. 4336 R(x,T(y,x),T(x,y)) = R(x,y,x). [hyper(236,a,4229,a,b,4335,a(flip)),flip(a)]. 4337 R(R(x,y,z),T(u,x),T(x,u)) = R(R(x,u,x),y,z). [para(4336(a,1),46(a,1,1)),flip(a)]. 4338 ((x / y) / x) * ((y \ x) * y) = ((x / y) \ x) \ x. [hyper(236,a,4149,a(flip),b,4211,a)]. 4339 ((x / y) / x) * ((y \ x) * y) = y \ x. [para(65(a,1),4338(a,2,1))]. 4340 ((x / (x / y)) / x) * (y * (x / y)) = (x / y) \ x. [para(65(a,1),4339(a,1,2,1))]. 4341 (x / (x / y)) / x = y / (y * (x / y)). [hyper(74,a,65,a(flip),b,4340,a),flip(a)]. 4342 (R(x,y,z) * T(u,x)) * T(x,u) = R(R(x,u,x),y,z) * (u * x). [para(4337(a,1),4136(a,1,1)),flip(a)]. 4343 T(x \ T(x,y),T(y,z)) = R(x \ T(x,y),y,u). [para(15(a,1),4193(a,1,1,2,2))]. 4344 R(x \ T(x,y),y,z) = x \ T(x,y). [hyper(236,a,3167,a(flip),b,4343,a(flip))]. 4346 (x \ T(x,y)) \ (((x * y) / x) * z) = y * z. [para(4344(a,1),3756(a,1,1))]. 4347 (x \ T(x,x \ y)) \ y = (x \ y) * x. [para(67(a,1),4346(a,1,2))]. 4350 (x \ ((x \ y) \ y)) \ y = (x \ y) * x. [para(120(a,1),4347(a,1,1,2))]. 4351 x / ((y \ x) * y) = y \ ((y \ x) \ x). [para(4350(a,1),62(a,1,2))]. 4352 (x * (y / x)) / y = y / ((x \ y) * x). [hyper(236,a,4066,a,b,4351,a),flip(a)]. 4353 R(x / y,x / (x / y),x / y) = (x * (y \ x)) / x. [hyper(236,a,670,a(flip),b,4209,a)]. 4354 R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * ((x / y) \ x)) / x. [para(4208(a,2),4353(a,1,2))]. 4355 ((x \ y) * x) * T((x \ y) \ y,z) = (T(x,z) * (x \ y)) * x. [para(4299(a,1),614(a,1,2))]. 4356 (T(x,y) * (y * x)) / T(x,y) != z | T(x,y * x) * T(y,x) = z. [para(4160(a,2),4124(a,1))]. 4357 ((x * (y / x)) / T(x,z)) * x = (y / T(x,z)) * T(x,x \ y). [hyper(236,a,2617,a(flip),b,4200,a(flip))]. 4358 ((x \ y) * x) * T(x,y) = y * (y / (y / T(x,y))). [para(4318(a,1),4326(a,1,1))]. 4359 x * (x / (x / T(y,x))) = y * ((y \ x) * y). [hyper(4266,a,4358,a),flip(a)]. 4360 x / (x / T(y,x)) = T(x / (x / y),x). [hyper(168,a,4295,a,b,4359,a),flip(a)]. 4362 T(x / (x / y),x) \ x = x / T(y,x). [para(4360(a,1),65(a,1,1))]. 4363 x / T(y \ x,x) = T(x / y,x) \ x. [para(62(a,1),4362(a,1,1,1,2)),flip(a)]. 4364 L(x,x \ y,x) \ y = y / T(x,y). [para(4215(a,1),4362(a,1,1))]. 4365 ((x \ y) * x) * T(T(x,x \ y),z) = (T(x,z) * (x \ y)) * x. [para(120(a,2),4355(a,1,2,1))]. 4366 (x / T(y,x)) * T(y,y \ x) = T(y * (x / y),y). [hyper(4270,a,4357,a),flip(a)]. 4368 (x / T(y,x)) * T(y,y \ x) = y * (T(x,y) / y). [hyper(236,a,1355,a(flip),b,4366,a)]. 4369 T(x,x \ T(y,x)) = T(x,x \ y). [hyper(17,a,4198,a,b,4368,a),flip(a)]. 4371 T(x,T(x,y) \ y) = T(x,x \ y). [para(4117(a,2),4369(a,1,2))]. 4372 (x * y) * T(T(y,y \ (y * x)),z) = (T(y,z) * (y \ (y * x))) * y. [para(13(a,1),4365(a,1,1,1))]. 4373 (x \ T(x,y)) \ z = (T(x,y) \ x) * z. [para(4344(a,1),4056(a,1,1))]. 4374 (T(x,y) \ x) * z = x * (T(x,y) \ z). [hyper(3962,a,4373,a),flip(a)]. 4375 (T(x,y) \ x) * (T(x,y) * z) = x * z. [hyper(3933,a,4373,a),flip(a)]. 4376 1 / (x \ T(x,y)) = T(x,y) \ x. [hyper(429,a,4373,a)]. 4377 (x \ T(x,y)) \ z = T(y,x) * (y \ z). [hyper(236,a,4102,a,b,4373,a)]. 4379 x * ((T(x,y) \ x) \ 1) = T(x,y). [para(4376(a,1),142(a,1,2,1))]. 4380 x * (((y * x) / (x * y)) \ 1) = T(x,(x \ 1) * (y * x)). [para(4019(a,1),4379(a,1,2,1))]. 4381 T(x,y) = x * (((y * x) / (x * y)) \ 1). [para(4060(a,2),4379(a,1,2,1)),flip(a)]. 4382 T(x,y) * (x \ z) = y * (T(y,x) \ z). [hyper(236,a,4102,a,b,4374,a(flip)),flip(a)]. 4383 x * (T(x,(y / z) / (1 / z)) \ (y / z)) = T(y,x) / z. [hyper(236,a,4289,a(flip),b,4374,a(flip))]. 4384 x * T(x \ y,z) = z * (T(z,y / x) \ y). [hyper(236,a,4182,a(flip),b,4374,a(flip)),flip(a)]. 4385 (T(x,y) \ x) \ z = T(x,y) * (x \ z). [hyper(72,a,14,a(flip),b,4375,a)]. 4386 T(x,y) * (x \ (T(y,x) * z)) = y * z. [hyper(236,a,4102,a,b,4375,a(flip)),flip(a)]. 4387 ((x * y) / x) \ (T(x,y) * z) = y \ (x * z). [hyper(72,a,4375,a(flip),b,4055,a),flip(a)]. 4389 T(x,y) * (T(y,x) * z) = x * (y * z). [para(4375(a,1),4101(a,1,2)),flip(a)]. 4390 x \ (((y * x) / y) * z) = T(x,y) \ (x * z). [hyper(72,a,4346,a(flip),b,4377,a(flip)),flip(a)]. 4391 T(x,y) * (x \ (T(y,x) * z)) != u * w | u \ (y * z) = w. [para(4386(a,2),545(a,1))]. 4392 T(x,y) * (x \ (T(y,x) * z)) != u * w | (y * z) / w = u. [para(4386(a,2),555(a,1))]. 4393 T(x,y) * (T(y,x) * z) = (x * y) * L(z,y,x). [hyper(236,a,103,a,b,4389,a)]. 4394 x * (T(x,y / (z \ 1)) \ y) != u | z \ T(z * y,x) = u. [para(4384(a,1),941(a,1))]. 4395 (T(x,y) * (x \ y)) \ (T(x,y) * z) = y \ (x * z). [para(3883(a,2),4387(a,1,1))]. 4396 x \ (((y * x) / y) * z) = x * (T(x,y) \ z). [hyper(236,a,1003,a(flip),b,4390,a)]. 4397 x * (T(x,y) \ z) != u | ((y * x) / y) * (x \ z) = u. [para(4396(a,1),1282(a,1))]. 4398 L(T(x,y) \ 1,x,y) = (y * x) \ T(y,x). [hyper(366,a,4393,a),flip(a)]. 4399 x \ (y * ((y \ x) * z)) = L(z,y \ x,T(y,x)). [hyper(447,a,4395,a),flip(a)]. 4400 L(x,y \ z,T(y,z)) = L(x,y \ z,y). [hyper(722,a,4399,a),flip(a)]. 4401 T(x,(x \ 1) * (y * x)) = T(x,y). [hyper(236,a,4381,a,b,4380,a(flip))]. 4402 T(x,T((x \ 1) * y,x)) = T(x,x \ y). [para(1629(a,1),4401(a,1,2))]. 4403 T(x,(x \ 1) * y) = T(x,x \ y). [hyper(4172,a,4402,a)]. 4404 T(x,(1 / x) * y) = T(x,x \ y). [hyper(236,a,2962,a,b,4403,a(flip)),flip(a)]. 4405 (((x \ 1) * y) \ y) * ((x \ 1) * y) = (x \ T(x,x \ y)) * y. [para(4403(a,1),3825(a,2,1,2))]. 4406 x \ T(x,T(y,y \ x) \ 1) = K(x,y \ 1). [para(4403(a,1),4167(a,1,2,2,1))]. 4407 x / T(y,(1 / y) * x) = y \ x. [para(4404(a,2),197(a,1,2))]. 4408 x / T(y \ 1,y * x) = (y \ 1) \ x. [para(62(a,1),4407(a,1,2,2,1))]. 4409 T(x \ 1,x * y) = ((x \ 1) \ y) \ y. [para(4408(a,1),65(a,1,1)),flip(a)]. 4410 T((x / y) \ 1,x) = (((x / y) \ 1) \ y) \ y. [para(16(a,1),4409(a,1,2))]. 4411 T(x,T(y,y \ x) \ 1) = x * K(x,y \ 1). [para(4406(a,1),14(a,1,2)),flip(a)]. 4412 K(x,(y \ x) / x) = K(x,y \ 1). [hyper(17,a,3790,a(flip),b,4411,a(flip)),flip(a)]. 4414 (((x \ 1) * y) \ y) * ((x \ 1) * y) = x * (y / x). [hyper(236,a,3938,a(flip),b,4405,a)]. 4415 (x * (y * z)) \ ((x * y) * z) = a(T(x,y),T(y,x),z). [para(4389(a,1),4134(a,1,1))]. 4416 a(T(x,y),T(y,x),z) = a(x,y,z). [hyper(679,a,4415,a),flip(a)]. 4417 a(T(x,y),T(y,x),z) != u | a(x,y,z) = u. [para(4415(a,1),679(a,1))]. 4418 (R(x,y,z) * T(u,x)) * T(x,u) = (R(x,y,z) * u) * x. [hyper(236,a,472,a(flip),b,4342,a)]. 4419 T(x * y,x) * T(x,y) = (R(x,y,x) * y) * x. [para(1512(a,1),4418(a,1,1))]. 4420 (R(x,y,x) * y) * x = (x * y) * R(x,y,x). [hyper(236,a,4228,a(flip),b,4419,a(flip))]. 4421 (R(x,y,x) * y) \ ((x * y) * R(x,y,x)) != z | z = x. [para(4420(a,1),283(a,1,2))]. 4422 (x * T(y,x)) / T((x \ y) * x,x) = T(x,T(x,y) \ y). [para(4107(a,1),4197(a,1,1,2))]. 4423 (x * y) / T((y \ x) * y,y) = T(y,T(y,x) \ x). [para(119(a,1),4422(a,1,1))]. 4424 (x * y) / T((y \ x) * y,y) = T(y,y \ x). [hyper(236,a,4371,a(flip),b,4423,a)]. 4425 L(T(x,y),z,u) \ (y * L(x,z,u)) != w | T(T(y,L(x,z,u)),L(x,z,u)) = w. [para(4288(a,2),417(a,1))]. 4426 (T(x,y) * (x \ (x * z))) * x = (z * x) * T(T(x,z),y). [para(13(a,1),4372(a,1,2,1,2)),flip(a)]. 4427 (x * y) * T(T(y,x),z) = (T(y,z) * x) * y. [para(13(a,1),4426(a,1,1,2)),flip(a)]. 4428 (x * y) * T(T(y,z),x) = (T(y,z) * x) * y. [hyper(236,a,122,a,b,4427,a(flip)),flip(a)]. 4429 R(T(T(x,y),z * x),z,x) = T(T(x,y),z). [hyper(889,a,4428,a)]. 4430 L(R(x,y,x),y,R(x,y,x)) = x. [hyper(4421,a,4331,a)]. 4431 R(x / (x / y),(y * (x / y)) / y,x / (x / y)) = (x * y) / x. [para(65(a,1),4354(a,2,1,2))]. 4432 T(x,y \ 1) * (x \ (y * (T(y \ 1,x) * z))) = L(z,T(y \ 1,x),y). [hyper(4094,a,4385,a),flip(a)]. 4434 x * (T(y,x \ 1) * (y \ (T(x \ 1,y) * z))) = L(z,T(x \ 1,y),x). [hyper(236,a,4005,a(flip),b,4432,a(flip)),flip(a)]. 4435 L(x,T(y \ 1,z),y) = y * ((y \ 1) * x). [para(4386(a,1),4434(a,1,2)),flip(a)]. 4436 L(x,T(y \ 1,z),y) = L(x,y \ 1,y). [hyper(236,a,188,a(flip),b,4435,a)]. 4438 L(T(1 / x,y) \ z,x \ 1,x) = (x * T(1 / x,y)) \ (x * z). [hyper(236,a,3635,a(flip),b,4436,a(flip))]. 4440 T((x \ 1) * (x * ((y * z) / y)),y) = T(1 / x,y) * ((x * T(1 / x,y)) \ (x * z)). [para(4438(a,1),3488(a,2,2))]. 4441 L(T((x \ 1) * x,x \ 1),y,z) = a(1 / L(x,y,z),x,x \ 1). [hyper(1089,a,4240,a),flip(a)]. 4442 a(1 / L(x,y,z),x,x \ 1) = L(K(x \ 1,x),y,z). [para(2527(a,1),4441(a,1,1)),flip(a)]. 4443 L(K(x \ 1,x),y,z) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [hyper(74,a,4442,a(flip),b,1084,a)]. 4445 K(L(x,y,z) \ 1,x) / R(L(x,y,z) \ 1,x,x \ 1) = L(x,y,z). [para(2530(a,1),4443(a,1,1))]. 4446 T(x,R(x * K(y,x),z,u)) = x. [hyper(304,a,4327,a),flip(a)]. 4448 ((x \ 1) \ 1) \ (((x * y) \ y) \ y) = ((x \ 1) \ (K(x \ 1,x) * y)) * (x \ 1). [para(2996(a,1),4086(a,2,1,2))]. 4449 ((x \ 1) \ 1) \ (((x * y) \ y) \ y) = ((1 / x) \ y) * (x \ 1). [para(2951(a,1),4448(a,2,1))]. 4450 ((x \ 1) \ 1) \ (((x * y) \ y) \ y) != z * u | (((1 / x) \ y) * (x \ 1)) / u = z. [para(4449(a,2),555(a,1))]. 4451 (x * y) * ((K(x \ 1,x) * y) / (x * y)) = ((x \ 1) \ 1) \ (((x * y) \ y) \ y). [para(2996(a,1),4087(a,1,2,1))]. 4452 ((x \ 1) \ 1) \ (((x * y) \ y) \ y) = (x * y) * R(x \ 1,x,y). [para(276(a,1),4451(a,1,2)),flip(a)]. 4453 (((1 / x) \ y) * (x \ 1)) / R(x \ 1,x,y) = x * y. [hyper(4450,a,4452,a)]. 4454 T((x \ 1) * (x * ((y * z) / y)),y) = (x \ 1) * (x * z). [hyper(236,a,4016,a(flip),b,4440,a)]. 4455 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * (x * (x \ y)). [hyper(3831,a,4454,a)]. 4457 L((x \ 1) * y,K(x,x \ 1),z) = (x \ 1) * y. [hyper(236,a,88,a(flip),b,4455,a)]. 4459 (x * ((1 / y) * z)) / ((y \ 1) * z) = x * K(y,y \ 1). [para(4457(a,1),2974(a,1,2))]. 4460 R(x,K(y \ 1,y),(1 / y) * z) = K(y \ 1,y) * (x * K(y,y \ 1)). [para(4459(a,1),3843(a,1,2)),flip(a)]. 4462 R(x,K(y \ 1,y),(1 / y) * z) = x. [hyper(236,a,2839,a(flip),b,4460,a)]. 4466 R(x,K(y \ 1,y),z) = x. [para(14(a,1),4462(a,1,3))]. 4469 R(x,y,K(z \ 1,z)) = x. [hyper(236,a,3713,a(flip),b,4466,a(flip)),flip(a)]. 4470 (x * K(y \ 1,y)) * z = x * (K(y \ 1,y) * z). [para(4466(a,1),113(a,1,1)),flip(a)]. 4475 T(x,y / (1 / z)) = T(x,y / (z \ 1)). [hyper(3708,a,4469,a),flip(a)]. 4476 T(x,y * K(z \ 1,z)) = T(x,y). [hyper(3618,a,4469,a),flip(a)]. 4477 (x * K(y,y \ 1)) / z = x / (z * K(y \ 1,y)). [hyper(2867,a,4469,a),flip(a)]. 4479 x / (y * K(z \ 1,z)) = K(z,z \ 1) * (x / y). [hyper(236,a,3642,a(flip),b,4469,a(flip)),flip(a)]. 4480 R(x,y,(z \ 1) \ 1) = R(x,y,z). [hyper(236,a,3453,a(flip),b,4469,a(flip))]. 4481 R(x,y,K(z,1 / z)) = x. [para(65(a,1),4469(a,1,3,1))]. 4482 (x * y) * K(z \ 1,z) = x * (y * K(z \ 1,z)). [para(4469(a,1),113(a,1,1)),flip(a)]. 4484 R(x,y,K(z,z \ 1)) = x. [para(1769(a,1),4469(a,1,3))]. 4485 R(x,y,K(1 / z,z)) = x. [para(1801(a,2),4469(a,1,3))]. 4486 (x * y) * K(z,1 / z) = x * (y * K(z,1 / z)). [para(4481(a,1),113(a,1,1)),flip(a)]. 4487 T(x,y * K(z,z \ 1)) = T(x,y). [hyper(3623,a,4484,a),flip(a)]. 4488 R(x,y,1 / z) = R(x,y,z \ 1). [hyper(3450,a,4484,a)]. 4492 (x * y) * K(z,z \ 1) = x * (y * K(z,z \ 1)). [para(4484(a,1),113(a,1,1)),flip(a)]. 4493 x \ (y * K(z,z \ 1)) = (x \ y) * K(z,z \ 1). [para(4484(a,1),463(a,1,1))]. 4494 x \ (K(y,y \ 1) * z) = (x \ z) * K(y,y \ 1). [para(4484(a,1),2534(a,1,1))]. 4495 (x * y) * K(1 / z,z) = x * (y * K(1 / z,z)). [para(4485(a,1),113(a,1,1)),flip(a)]. 4496 (x * y) \ ((x * (y * z)) * K(1 / u,u)) = L(z,y,x) * K(1 / u,u). [para(4485(a,1),499(a,1,1))]. 4498 T(x,y * (((y \ z) \ 1) \ 1)) = T(x,z). [para(2289(a,1),4476(a,1,2))]. 4500 T(x,y * (1 / z)) = T(x,y * (z \ 1)). [para(2740(a,1),4476(a,1,2)),flip(a)]. 4501 T(x,(1 / y) \ z) = T(x,(y \ 1) \ z). [para(2949(a,1),4476(a,1,2))]. 4502 T(x,(1 / y) * z) = T(x,(y \ 1) * z). [para(2957(a,1),4476(a,1,2)),flip(a)]. 4503 T(x,((y \ 1) \ 1) \ z) = T(x,y \ z). [para(3002(a,1),4476(a,1,2))]. 4504 T(x,(y \ 1) \ K(z,y)) = T(x,y * K(z,y)). [para(3172(a,1),4476(a,1,2)),flip(a)]. 4506 R(x,y,1 / (1 / z)) = R(x,y,z). [para(144(a,1),4480(a,1,3)),flip(a)]. 4507 R(x,y,z) * (y * ((z \ 1) \ 1)) = (x * y) * ((z \ 1) \ 1). [para(4480(a,1),113(a,1,1))]. 4508 R(x,y,T((z \ 1) \ 1,u)) = R(x,y,T(z,u)). [para(2479(a,1),4480(a,1,3))]. 4509 T(x,R(1 / y,z,u) * K(w,w \ 1)) = T(x,R(y \ 1,z,u)). [hyper(236,a,3513,a(flip),b,4487,a)]. 4511 T(x,L(y,z,u) * (1 / y)) = T(x,y \ L(y,z,u)). [para(2349(a,1),4487(a,1,2))]. 4512 T(x,y * (1 / (1 / z))) = T(x,y * z). [para(2749(a,1),4487(a,1,2)),flip(a)]. 4513 T(x,T(y,y \ 1) * z) = T(x,y * z). [para(2906(a,1),4487(a,1,2))]. 4515 T(x,y * (z * K(u,u \ 1))) = T(x,y * z). [para(3543(a,1),4487(a,1,2))]. 4519 x * (T(x,(y / z) / (z \ 1)) \ (y / z)) = T(y,x) / z. [para(4475(a,1),4383(a,1,2,1))]. 4520 T(x,(1 / y) * K(z,y \ 1)) = T(x,y \ K(z,y \ 1)). [para(3170(a,1),4502(a,2,2))]. 4521 T((x \ 1) * y,x \ y) = (x \ 1) * y. [hyper(236,a,673,a(flip),b,4503,a(flip))]. 4522 T(x,R(y \ 1,y,z) \ u) = T(x,(z / (y * z)) \ u). [para(2148(a,2),4503(a,1,2,1))]. 4523 K((x \ 1) * y,x \ y) = 1. [hyper(36,a,4521,a)]. 4524 R(x,T(y,z) \ 1,T(y,z)) / T((y \ 1) \ 1,z) = x * (T(y,z) \ 1). [para(4508(a,1),2611(a,1,1))]. 4525 T(x,y * (z * (1 / u))) = T(x,y * (z * (u \ 1))). [para(2837(a,1),4515(a,1,2,2))]. 4526 L(x,K(y \ 1,y),z) = x. [hyper(436,a,4470,a)]. 4527 K(x \ 1,x) * (y * z) = y * (K(x \ 1,x) * z). [hyper(236,a,3651,a(flip),b,4470,a(flip)),flip(a)]. 4530 L(x,K(y,y \ 1),z) = x. [para(1769(a,1),4526(a,1,2))]. 4534 L(x,y * (1 / y),z) = x. [para(1770(a,1),4530(a,1,2))]. 4536 (x * K(y,y \ 1)) / (z * ((y \ 1) \ 1)) = x / (z * y). [para(2791(a,1),4477(a,2,2))]. 4538 x / (K(y \ 1,y) * z) = K(y,y \ 1) * (x / z). [para(2516(a,2),4479(a,1,2))]. 4539 K(L(x,y,z) \ 1,x) = K(x \ 1,x). [hyper(2602,a,4482,a)]. 4540 K(x \ 1,x) * (y * z) = y * (z * K(x \ 1,x)). [hyper(2528,a,4482,a)]. 4542 a(x,y,K(z \ 1,z)) = 1. [hyper(71,a,4482,a(flip),b,91,a),flip(a)]. 4546 (x * (y * K(z \ 1,z))) \ u = (x * y) \ (K(z,z \ 1) * u). [para(4482(a,1),3639(a,1,1))]. 4547 (x * (y * K(z \ 1,z))) * u = K(z \ 1,z) * ((x * y) * u). [para(4482(a,1),3651(a,1,1))]. 4548 x / (y * (z * K(u \ 1,u))) = K(u,u \ 1) * (x / (y * z)). [para(4482(a,1),4479(a,1,2))]. 4549 a(x,y,K(1 / z,z)) = 1. [para(1801(a,2),4542(a,1,3))]. 4550 L(K(1 / x,x),y,z) = K(1 / x,x). [hyper(33,a,4549,a)]. 4551 (L(x,y,z) \ x) \ ((L(x,y,z) \ 1) * x) = K(x \ 1,x). [hyper(236,a,1222,a,b,4539,a(flip)),flip(a)]. 4553 K(x,1 / x) * (y * z) = y * (z * K(x,1 / x)). [hyper(236,a,2512,a,b,4486,a(flip)),flip(a)]. 4554 K(L(x,y,z),L(x,y,z) \ 1) = K(x,x \ 1). [hyper(3544,a,4492,a)]. 4556 L(K(x,x \ 1),y,z) = K(x,x \ 1). [hyper(436,a,4492,a)]. 4558 (x * y) * K(z,z \ 1) != u | x * (y * K(z,z \ 1)) = u. [para(4556(a,1),219(a,1,2))]. 4561 L(x,y,z) \ K(x,x \ 1) = 1 / L(x,y,z). [hyper(72,a,4554,a(flip),b,1770,a(flip))]. 4563 L(x,y,z) \ (1 / x) = x \ (1 / L(x,y,z)). [hyper(72,a,4561,a(flip),b,1780,a(flip)),flip(a)]. 4564 x \ (y * K(z,z \ 1)) = K(z,z \ 1) * (x \ y). [hyper(236,a,2500,a,b,4493,a)]. 4567 x \ (K(y,y \ 1) * z) = K(y,y \ 1) * (x \ z). [hyper(236,a,2500,a,b,4494,a)]. 4568 K(x,x \ 1) * (y * (K(x \ 1,x) * z)) = y * z. [hyper(2863,a,4527,a)]. 4569 x \ (K(y \ 1,y) * z) = K(y \ 1,y) * (x \ z). [hyper(551,a,4527,a)]. 4572 (x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(K(z \ 1,z) * u,y,x). [para(4527(a,2),28(a,2,2,2)),flip(a)]. 4574 x \ (K(y \ 1,y) * z) = (x \ z) * K(y \ 1,y). [hyper(551,a,4540,a)]. 4575 (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(4540(a,1),455(a,1,1))]. 4577 K(x,x \ 1) * (y \ 1) = y \ K(x,x \ 1). [para(11(a,1),4564(a,1,2)),flip(a)]. 4578 K(x,x \ 1) * (y \ x) = y \ T(x,x \ 1). [para(1821(a,1),4564(a,1,2)),flip(a)]. 4579 K(x,x \ 1) * (y \ (z / ((x \ 1) \ 1))) = y \ (z / x). [para(2836(a,1),4564(a,1,2)),flip(a)]. 4580 (x \ K(y,y \ 1)) * y = (x \ 1) * ((y \ 1) \ 1). [para(4577(a,1),2843(a,1,1))]. 4582 x \ (K(y,y \ 1) * z) != u | (x \ z) * K(y,y \ 1) = u. [para(4567(a,2),2506(a,1))]. 4584 K(x,x \ 1) * (y * (z / (1 / x))) = y * (z / (x \ 1)). [para(2742(a,1),4568(a,1,2,2))]. 4585 K(x,x \ 1) * (y * (z * (x \ 1))) = y * (z * (1 / x)). [para(2744(a,1),4568(a,1,2,2))]. 4586 K(x,x \ 1) * (y * z) = y * (K(x,x \ 1) * z). [para(2846(a,1),4568(a,1,2,2))]. 4587 K(x,x \ 1) * (y * ((1 / x) \ z)) = y * ((x \ 1) \ z). [para(2918(a,1),4568(a,1,2,2))]. 4588 (x * K(y,y \ 1)) \ z = K(y \ 1,y) * (x \ z). [hyper(3619,a,4569,a)]. 4589 K(x \ 1,x) * (y \ x) = y \ (1 / (1 / x)). [para(2540(a,1),4569(a,1,2)),flip(a)]. 4590 x \ (K(y \ 1,y) * z) != u | (x \ z) * K(y \ 1,y) = u. [para(4569(a,2),2521(a,1))]. 4593 K(x,x \ 1) * ((y \ (1 / (1 / x))) * z) = (y \ x) * z. [para(4589(a,1),3585(a,1,2,1))]. 4594 (x \ (1 / y)) * K(y \ 1,y) = x \ (y \ 1). [para(1733(a,1),4574(a,1,2)),flip(a)]. 4595 x \ (y * (K(z \ 1,z) * u)) = (x \ (y * u)) * K(z \ 1,z). [para(4527(a,1),4574(a,1,2))]. 4596 (x \ (1 / R(y,z,u))) * K(y \ 1,y) = x \ (R(y,z,u) \ 1). [para(3666(a,1),4594(a,1,2))]. 4597 T(x,y \ (1 / z)) = T(x,y \ (z \ 1)). [para(4594(a,1),4476(a,1,2)),flip(a)]. 4598 (x \ (1 / y)) * T(z,x \ (y \ 1)) = z * (x \ (1 / y)). [para(4597(a,1),119(a,1,2))]. 4599 (1 / x) / T(y,y \ (x \ 1)) = y \ (1 / x). [para(4597(a,1),197(a,1,2))]. 4600 (x * ((K(y,y \ 1) * z) * u)) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). [para(4586(a,2),24(a,2,2,1)),flip(a)]. 4601 x \ (y * (K(z,z \ 1) * u)) = (x \ (y * u)) * K(z,z \ 1). [para(4586(a,1),4494(a,1,2))]. 4602 K(x,x \ 1) * (y * (z \ 1)) = y * (z \ K(x,x \ 1)). [para(4577(a,1),4586(a,2,2))]. 4603 (K(x,x \ 1) * y) \ z = K(x \ 1,x) * (y \ z). [para(2500(a,2),4588(a,1,1))]. 4604 K(x \ 1,x) * ((y * (x \ 1)) \ z) = (y * (1 / x)) \ z. [para(2837(a,1),4588(a,1,1)),flip(a)]. 4605 (K(x,x \ 1) * y) \ z = (y \ z) * K(x \ 1,x). [hyper(236,a,2516,a(flip),b,4603,a)]. 4606 K(x \ 1,x) * (R(x \ 1,y,z) \ u) = R(1 / x,y,z) \ u. [para(3719(a,1),4603(a,1,1)),flip(a)]. 4607 (((1 / x) \ y) \ z) * K(x \ 1,x) = ((x \ 1) \ y) \ z. [para(2947(a,1),4605(a,1,1)),flip(a)]. 4608 T(x,(K(y,y \ 1) * z) \ u) = T(x,z \ u). [para(4605(a,2),4476(a,1,2))]. 4609 ((x \ 1) \ y) * K(z \ 1,z) = (x \ K(z,z \ 1)) \ y. [para(4577(a,1),4605(a,1,1)),flip(a)]. 4610 (x * (K(y,y \ 1) * z)) \ u = ((x * z) \ u) * K(y \ 1,y). [para(4586(a,1),4605(a,1,1))]. 4611 T(x,(y * (1 / z)) \ u) = T(x,(y * (z \ 1)) \ u). [para(2862(a,1),4608(a,1,2,1))]. 4612 T(x,((1 / y) \ z) \ u) = T(x,((y \ 1) \ z) \ u). [para(2947(a,1),4608(a,1,2,1)),flip(a)]. 4613 T(x,(((y \ 1) \ 1) \ z) \ u) = T(x,(y \ z) \ u). [para(3000(a,1),4608(a,1,2,1)),flip(a)]. 4614 x \ T(x * (y / x),z) = T(y,z) / x. [hyper(4394,a,4519,a)]. 4615 T(x * (y / x),z) = x * (T(y,z) / x). [para(4614(a,1),14(a,1,2)),flip(a)]. 4616 T(x * y,z) / y = y \ T(y * x,z). [para(15(a,1),4614(a,1,2,1,2)),flip(a)]. 4617 (x \ T(x * (y / x),z)) * x = T(y,z). [para(4614(a,2),16(a,1,1))]. 4618 (x \ y) \ T((x \ y) * x,z) = T(y,z) / (x \ y). [para(62(a,1),4614(a,1,2,1,2))]. 4620 T((x \ y) * x,z) / x = x \ T(y,z). [para(61(a,1),4614(a,1,2,1)),flip(a)]. 4623 x \ T(T(x,y) * y,z) = T(x * y,z) / x. [para(3875(a,2),4614(a,1,2,1))]. 4624 x * (T(y * x,z) / x) = T(x * y,z). [para(15(a,1),4615(a,1,1,2)),flip(a)]. 4625 T(x * (y / x),y) = x * (y / x). [para(118(a,1),4615(a,2,2,1))]. 4626 T(x * ((y / z) / x),z) = x * ((z \ y) / x). [para(121(a,1),4615(a,2,2,1))]. 4630 T(x * (y / x),K(y,z)) = x * (y / x). [para(3250(a,1),4615(a,2,2,1))]. 4631 T(x * (y / x),y) / y = y / ((x \ y) * x). [para(4625(a,2),4352(a,1,1))]. 4632 x \ T(x * y,1 / x) = ((1 / x) \ y) * (1 / x). [hyper(1606,a,4616,a),flip(a)]. 4633 (x \ 1) * T((x \ 1) \ y,z) = T(y * x,z) / x. [hyper(236,a,877,a,b,4616,a),flip(a)]. 4634 (x \ T(x * y,z)) * x = T(y * x,z). [para(4616(a,1),16(a,1,1))]. 4635 T(x \ T(x * y,z),x) = x \ T(y * x,z). [para(4616(a,1),121(a,1,1))]. 4636 (x \ 1) \ T((x \ 1) * y,z) != u | x * T(x \ y,z) = u. [para(4616(a,1),934(a,1))]. 4637 x * (y \ T(y * (x \ z),x)) = ((x \ (z * y)) * x) / y. [para(4616(a,1),3818(a,1,2))]. 4638 K(x \ 1,x) * T(K(x,x \ 1) * y,z) = T(y,z). [hyper(236,a,2870,a,b,4617,a(flip)),flip(a)]. 4639 T((x \ y) * x,z) = (x \ T(y,z)) * x. [para(61(a,1),4617(a,1,1,2,1)),flip(a)]. 4644 T(x,T(y * x,z)) = T(x,T(x * y,z)). [para(4624(a,1),4260(a,1,2)),flip(a)]. 4645 T(K(x,y),z * (x / z)) = K(x,y). [hyper(35,a,4630,a)]. 4646 T(K(x * y,z),y * x) = K(x * y,z). [para(15(a,1),4645(a,1,2,2))]. 4649 T(x * y,z) \ T(y * x,z) != u | K(x \ T(x * y,z),x) = u. [para(4634(a,1),421(a,1,2))]. 4651 T((x \ y) * x,z) != u * x | x \ T(y,z) = u. [para(4639(a,2),20(a,1))]. 4652 T((x \ y) * x,y) = (x \ y) * x. [para(118(a,1),4639(a,2,1,2))]. 4653 x * ((y \ T(z,x)) * y) = ((y \ z) * y) * x. [para(4639(a,1),119(a,1,2))]. 4655 T((x \ (y / z)) * x,z) = (x \ (z \ y)) * x. [para(121(a,1),4639(a,2,1,2))]. 4656 T((x \ y) * x,z) / x != u | x \ T(y,z) = u. [para(4639(a,2),296(a,1,1)),flip(b)]. 4657 T((x \ y) * x,z) \ T(y,z) = K(x,x \ T(y,z)). [para(4639(a,2),97(a,1,1))]. 4658 (x * y) * K(y * x,z) != u | K(y * x,z) * (x * y) = u. [para(4646(a,1),220(a,1,2))]. 4659 (x * ((y / z) / x)) * z = z * (x * ((z \ y) / x)). [para(4626(a,1),119(a,1,2)),flip(a)]. 4660 x / ((((y \ 1) * x) \ x) * ((y \ 1) * x)) = T((y \ x) * y,x) / x. [para(3811(a,1),4631(a,1,1,1)),flip(a)]. 4661 ((x \ (y / z)) * x) * z = z * ((x \ (z \ y)) * x). [para(121(a,1),4653(a,1,2,1,2)),flip(a)]. 4662 (x \ y) * ((z \ ((x \ y) \ y)) * z) = ((z \ x) * z) * (x \ y). [para(120(a,1),4653(a,1,2,1,2))]. 4663 (x * ((y \ (x \ z)) * y)) / x = (y \ (z / x)) * y. [para(4655(a,1),163(a,1,1,2))]. 4666 (x \ y) \ T((x \ y) * x,x) = (y * x) / y. [hyper(236,a,1284,a(flip),b,4618,a)]. 4667 ((x * ((y * x) \ y)) \ 1) * T(((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)),z) = T(x,z) / (x * ((y * x) \ y)). [para(1464(a,1),4633(a,2,1,1))]. 4668 T(K(x,x \ 1) * y,z) = K(x,x \ 1) * T(y,z). [hyper(2863,a,4638,a),flip(a)]. 4670 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = ((u * ((y / x) / u)) * x) * (y \ z). [hyper(236,a,3861,a(flip),b,4659,a(flip))]. 4671 (x * (((y * z) / y) / x)) * y = y * (x * (z / x)). [para(13(a,1),4659(a,2,2,2,1))]. 4672 (x * ((y / (y * z)) / x)) * (y * z) = (y * z) * (x * (L(z \ 1,z,y) / x)). [para(158(a,2),4659(a,2,2,2,1))]. 4673 ((x \ (y * (z \ 1))) * x) / (z \ 1) = z * ((x \ (z \ y)) * x). [hyper(236,a,3731,a,b,4661,a(flip)),flip(a)]. 4674 ((x \ R(1 / y,y,z)) * x) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(159(a,2),4661(a,1,1,1,2))]. 4675 (x * ((y \ z) * y)) / x = (y \ ((x * z) / x)) * y. [para(13(a,1),4663(a,1,1,2,1,2))]. 4676 ((x \ (y / z)) * x) * z != u | z * ((x \ (z \ y)) * x) = u. [para(4663(a,1),221(a,1,1)),flip(b)]. 4677 T(x * K(y,y \ 1),z) = K(y,y \ 1) * T(x,z). [para(2500(a,1),4668(a,1,1))]. 4678 (x \ ((x * y) / x)) * x = (x \ y) * T(x,y). [hyper(4247,a,4675,a),flip(a)]. 4680 (1 / (1 / x)) / (y * x) = x / (y * ((x \ 1) \ 1)). [para(2531(a,1),4536(a,1,1)),flip(a)]. 4682 (L(x,y,z) \ x) * K(x \ 1,x) = (L(x,y,z) \ 1) * x. [para(4551(a,1),14(a,1,2))]. 4683 L(x,y,z \ (u / ((w \ 1) \ 1))) = L(x,y,z \ (u / w)). [para(4579(a,1),3850(a,1,3)),flip(a)]. 4684 x * K(y \ (1 / (1 / x)),y) = (y \ x) * y. [hyper(236,a,2966,a(flip),b,4593,a(flip)),flip(a)]. 4685 ((x \ y) * x) * (y \ 1) = ((x \ y) * x) / y. [para(4684(a,1),3830(a,1,1))]. 4686 ((x \ y) * x) / y != ((x \ y) * x) * z | y \ 1 = z. [para(4685(a,1),19(a,1))]. 4687 K(x,x \ 1) * (y \ (z * (u \ 1))) = y \ (z * (u \ K(x,x \ 1))). [para(4602(a,1),4567(a,1,2)),flip(a)]. 4688 T(x,x \ 1) \ ((y * (x \ 1)) \ z) = x \ ((y * (1 / x)) \ z). [para(4604(a,1),2936(a,1,2)),flip(a)]. 4689 K(x,x \ 1) * (((x \ 1) \ y) \ z) = ((1 / x) \ y) \ z. [hyper(2864,a,4607,a)]. 4690 ((x \ K(y,y \ 1)) \ z) * K(y,y \ 1) = (x \ 1) \ z. [hyper(2855,a,4609,a)]. 4691 ((x \ (y / (z \ 1))) * x) * (z \ 1) = ((x \ (y * z)) * x) / z. [hyper(236,a,1424,a,b,4637,a(flip)),flip(a)]. 4692 (L(x,y,z) \ 1) * T(x,x \ 1) = L(x,y,z) \ x. [hyper(2790,a,4682,a)]. 4693 (L(x \ 1,y,z) \ (x \ 1)) * K(x,x \ 1) = (L(x \ 1,y,z) \ 1) * (x \ 1). [para(1804(a,1),4682(a,1,2))]. 4694 ((L(x,y,z) \ 1) * x) * (1 / x) = (L(x,y,z) \ x) * (x \ 1). [para(4682(a,1),2741(a,1,1))]. 4695 T(x,L(x,y,z) \ 1) = T(x,x \ 1). [hyper(168,a,1211,a,b,4692,a)]. 4696 T(x,L(x,y,z) \ 1) = K(x,x \ 1) * x. [hyper(236,a,1735,a,b,4695,a)]. 4697 T(x,L(x,y,z) \ 1) != u * x | K(x,x \ 1) = u. [para(4696(a,2),20(a,1))]. 4699 (x * y) * ((z \ 1) \ 1) != u * (y * ((z \ 1) \ 1)) | R(x,y,z) = u. [para(4507(a,1),20(a,1))]. 4703 T(x,R(K(y,y \ 1) * (1 / z),u,w)) = T(x,R(z \ 1,u,w)). [para(3721(a,2),4509(a,1,2))]. 4704 (x * y) \ (K(z,z \ 1) * (x * (K(z \ 1,z) * (y * u)))) = L(u,y * K(z \ 1,z),x). [hyper(3662,a,4546,a),flip(a)]. 4705 (K(x \ 1,x) * ((y * z) * u)) / ((z * K(x \ 1,x)) * u) = R(y,z * K(x \ 1,x),u). [hyper(74,a,4547,a(flip),b,113,a)]. 4707 K(x \ 1,x) * (y / (z * (u * K(x \ 1,x)))) = y / (z * u). [hyper(2860,a,4548,a(flip))]. 4709 (x * y) \ (x * (K(z \ 1,z) * (y * u))) = L(u,y,x) * K(z \ 1,z). [para(28(a,2),4595(a,2,1))]. 4710 ((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(4595(a,1),2566(a,1))]. 4711 (1 / x) \ (1 / R(x,y,z)) = (x \ 1) \ (R(x,y,z) \ 1). [hyper(18,a,2949,a,b,4596,a)]. 4712 (1 / x) \ (1 / R(x,y,z)) = (x \ R(x,y,z)) \ 1. [hyper(236,a,3380,a(flip),b,4711,a)]. 4713 ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,K(z,z \ 1) * u). [hyper(679,a,4601,a),flip(a)]. 4714 (1 / x) * (R(1 / x,y,z) \ u) = (x \ 1) * (R(x \ 1,y,z) \ u). [para(4606(a,1),2916(a,1,2))]. 4715 ((x \ y) * x) * (y \ 1) = (1 / y) * ((x \ y) * x). [hyper(236,a,3840,a(flip),b,4662,a(flip))]. 4716 (1 / x) * ((y \ x) * y) = ((y \ x) * y) / x. [hyper(236,a,4685,a(flip),b,4715,a(flip))]. 4717 (x \ 1) * ((y * (x \ 1)) \ y) = x \ ((y * (1 / x)) \ y). [hyper(236,a,2272,a(flip),b,4688,a(flip)),flip(a)]. 4718 (x \ 1) * (((y / (1 / x)) * (x \ 1)) \ (y / (1 / x))) = x \ (y \ (y / (1 / x))). [para(16(a,1),4717(a,2,2,1))]. 4719 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = ((y \ (z * x)) * y) / x. [hyper(4676,a,4691,a)]. 4721 T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ 1,u,w)). [para(3589(a,1),4703(a,1,2,1))]. 4722 x / (K(y,y \ 1) * z) = K(y \ 1,y) * (x / z). [para(2858(a,1),4707(a,1,2,2)),flip(a)]. 4723 K(x \ T(x * y,x),x) = K(y,x). [hyper(4649,a,4285,a(flip))]. 4724 K(x \ T(y,x),x) = K(x \ y,x). [para(14(a,1),4723(a,1,1,2,1))]. 4725 T(x,y) \ ((T(y,x) \ x) * y) = K(y \ x,y). [hyper(236,a,4145,a,b,4724,a(flip)),flip(a)]. 4726 T(x,y) * K(y \ x,y) = (T(y,x) \ x) * y. [para(4725(a,1),14(a,1,2))]. 4728 T((x \ y) * x,y) / y = y / (x * (y / x)). [para(4414(a,1),4660(a,1,2)),flip(a)]. 4729 ((x \ y) * x) / y = y / (x * (y / x)). [para(4652(a,1),4728(a,1,1))]. 4730 ((x \ y) * x) / y = x \ (y / (y / x)). [hyper(236,a,4181,a(flip),b,4729,a)]. 4731 (1 / x) * ((y \ x) * y) = y \ (x / (x / y)). [hyper(236,a,4716,a,b,4730,a(flip)),flip(a)]. 4732 L((x \ ((y \ 1) \ 1)) * x,y \ 1,y) = y * (x \ (y / (y / x))). [para(4731(a,1),3841(a,2,2))]. 4733 (x \ 1) * (R(x \ 1,x,y) \ z) = (1 / x) * ((y / (x * y)) \ z). [para(159(a,1),4714(a,1,2,1)),flip(a)]. 4734 T(((x \ 1) * (y / R(x \ 1,x,z))) / (x \ 1),R(x \ 1,x,z)) = ((1 / x) * ((z / (x * z)) \ y)) / (x \ 1). [para(4733(a,1),670(a,2,1))]. 4735 (x * y) \ (x * ((y * z) * K(1 / u,u))) = L(z,y,x) * K(1 / u,u). [para(4495(a,1),4496(a,1,2))]. 4736 L(K(x \ 1,x) * y,z,u) = L(y,z,u) * K(x \ 1,x). [hyper(236,a,4572,a(flip),b,4709,a(flip)),flip(a)]. 4737 L(K(x \ 1,x) * y,z,u) = K(x \ 1,x) * L(y,z,u). [hyper(236,a,2516,a,b,4736,a)]. 4738 L(x * K(y \ 1,y),z,u) = L(x,z,u) * K(y \ 1,y). [para(2516(a,1),4736(a,1,1))]. 4741 K(x \ 1,x) * L(y * K(x,x \ 1),z,u) = L(y,z,u). [para(2839(a,1),4737(a,1,1)),flip(a)]. 4743 L(x * K(y,y \ 1),z,u) = K(y,y \ 1) * L(x,z,u). [hyper(2863,a,4741,a),flip(a)]. 4744 L(x * K(y,y \ 1),z,u) = L(x,z,u) * K(y,y \ 1). [hyper(2853,a,4741,a),flip(a)]. 4745 (x \ L(x * (y / x),z,u)) * x = L(y,z,u). [hyper(236,a,3364,a(flip),b,4741,a(flip)),flip(a)]. 4746 x \ L(x * (y / x),z,u) = L(y,z,u) / x. [hyper(74,a,4741,a(flip),b,3364,a(flip)),flip(a)]. 4748 (x \ L(x * y,z,u)) * x = L(y * x,z,u). [para(15(a,1),4745(a,1,1,2,1,2))]. 4749 L(x * (y / x),z,u) = x * (L(y,z,u) / x). [para(4745(a,1),61(a,1,2,1)),flip(a)]. 4750 L((x \ y) * x,z,u) = (x \ L(y,z,u)) * x. [para(61(a,1),4745(a,1,1,2,1)),flip(a)]. 4751 L(T(x,y),z,u) / x = x \ L(T(x,y),z,u). [para(3191(a,1),4746(a,1,2,1)),flip(a)]. 4752 (x * y) * ((z \ L(u,y,x)) * z) = x * (y * ((z \ u) * z)). [para(4750(a,1),103(a,1,2))]. 4753 L((x \ ((y \ 1) \ z)) * x,y \ 1,y) = (x \ (y * z)) * x. [para(451(a,1),4750(a,2,1,2))]. 4754 L((x \ ((y \ z) \ u)) * x,y \ z,y) = (x \ (z \ (y * u))) * x. [para(450(a,1),4750(a,2,1,2))]. 4755 K(x,x \ 1) * L(x,y,z) = L(T(x,x \ 1),y,z). [para(1821(a,1),4743(a,1,1)),flip(a)]. 4756 x \ L(y * K(z,z \ 1),u,w) = (x \ L(y,u,w)) * K(z,z \ 1). [para(4743(a,2),4494(a,1,2))]. 4757 x * (L(x,y,z) * (1 / x)) = L(T(x,x \ 1),y,z). [hyper(236,a,1845,a(flip),b,4755,a(flip)),flip(a)]. 4759 x * (L(x,y,z) * (1 / x)) = L((x \ 1) \ 1,y,z). [para(120(a,1),4757(a,2,1))]. 4760 x \ L((x \ 1) \ 1,y,z) = L(x,y,z) * (1 / x). [hyper(80,a,4759,a)]. 4762 T(L(x,y,z) * (1 / x),x) = L(x,y,z) * (1 / x). [hyper(236,a,1828,a,b,4760,a(flip)),flip(a)]. 4763 (x \ L(x,y,z)) * x = L(x,y,z). [hyper(2260,a,4762,a)]. 4764 T(x \ L(x,y,z),x) = x \ L(x,y,z). [hyper(394,a,xx,b,4763,a)]. 4765 L(x,y,z) / x = x \ L(x,y,z). [hyper(87,a,4763,a)]. 4766 (x \ L(x,y,z)) \ L(x,y,z) = x. [hyper(80,a,4763,a)]. 4767 (1 / x) * L(x,y,z) = x \ L(x,y,z). [hyper(1677,a,4765,a)]. 4769 T(x,y) * (x \ L(x,z,u)) = (x \ L(x,z,u)) * T(x,y). [para(4766(a,1),407(a,1,2,1)),flip(a)]. 4770 T(x \ ((y * (1 / x)) \ y),x) = x \ L(x,x \ 1,y). [para(2767(a,1),4764(a,1,1,2))]. 4771 T(1 / x,L(x,y,z)) = x \ 1. [hyper(168,a,4767,a,b,1207,a)]. 4773 (1 / x) * ((1 / x) * L(x,y,z)) = (x \ 1) * (L(x,y,z) * (1 / x)). [para(4771(a,1),4137(a,1,1)),flip(a)]. 4774 L(x \ 1,y,z) * K(x,x \ 1) = L(1 / x,y,z). [para(1833(a,1),4744(a,1,1)),flip(a)]. 4775 L(x * K(y \ z,(y \ z) \ 1),u,w) = L(x,u,w) * K(y \ z,z \ y). [para(2282(a,1),4744(a,2,2))]. 4777 L(1 / x,y,z) \ (1 / x) = L(x \ 1,y,z) \ (x \ 1). [para(4774(a,1),3647(a,1,1))]. 4779 T(x,y) * z != (x \ L(x,u,w)) * T(x,y) | x \ L(x,u,w) = z. [para(4769(a,1),19(a,1)),flip(a)]. 4782 L(1 / (x \ y),x \ y,x) \ (1 / (x \ y)) = (y \ (x * 1)) \ ((x \ y) \ 1). [para(450(a,1),4777(a,2,1))]. 4783 x / L(L(y \ 1,z,u) \ (y \ 1),L(1 / y,z,u),x / (1 / y)) = (x / (1 / y)) * L(1 / y,z,u). [para(4777(a,1),459(a,1,2,1))]. 4784 (x * y) * ((z \ ((x * y) \ u)) * z) = x * (y * ((z \ (y \ (x \ u))) * z)). [para(227(a,1),4752(a,1,2,1,2))]. 4785 (x \ 1) * ((y \ ((x \ 1) \ z)) * y) = x \ ((y \ (x * z)) * y). [hyper(72,a,4753,a(flip),b,188,a),flip(a)]. 4787 ((x \ (y * z)) * x) / z = z \ ((x \ (z * y)) * x). [hyper(236,a,4719,a(flip),b,4785,a(flip)),flip(a)]. 4788 (x \ ((y \ (x * z)) * y)) * x = (y \ (z * x)) * y. [para(4787(a,1),16(a,1,1))]. 4789 (x \ ((y \ (x * z)) * y)) * x != u | (y \ (z * x)) * y = u. [para(4787(a,1),221(a,1,1)),flip(b)]. 4792 (x \ (1 \ (y * 1))) * x = y * (x \ (y / (y / x))). [hyper(236,a,4732,a(flip),b,4754,a(flip))]. 4793 x * (y \ (x / (x / y))) = (y \ (1 \ x)) * y. [para(12(a,1),4792(a,1,1,2,2)),flip(a)]. 4794 x * (y \ (x / (x / y))) = (y \ x) * y. [para(50(a,1),4793(a,2,1,2))]. 4795 x \ (y / (y / x)) = K(x \ y,x). [hyper(17,a,249,a,b,4794,a)]. 4796 (1 / x) * ((y \ x) * y) = K(y \ x,y). [hyper(236,a,4731,a,b,4795,a(flip)),flip(a)]. 4797 ((x \ y) * x) / y = K(x \ y,x). [hyper(236,a,4730,a,b,4795,a(flip)),flip(a)]. 4799 x / (x / y) = y * K(y \ x,y). [para(4795(a,1),14(a,1,2)),flip(a)]. 4803 ((x \ y) * x) * (y \ 1) = K(x \ y,x). [hyper(236,a,4685,a,b,4797,a(flip)),flip(a)]. 4804 K(x \ y,x) * y = (x \ y) * x. [para(4797(a,1),16(a,1,1))]. 4807 (x * K(x \ y,x)) * (y / x) = y. [para(4799(a,1),16(a,1,1))]. 4809 (x / y) * (y * K(y \ x,y)) = (y \ x) * y. [para(4799(a,1),3954(a,1,2))]. 4810 T(x * K(x \ y,x),y) = L(x,x \ y,x). [para(4799(a,1),4215(a,1,1))]. 4811 T(x,K(y \ x,y)) = x. [hyper(422,a,4804,a)]. 4813 T((x \ 1) * ((y \ x) * y),x) = (x \ 1) * ((y \ x) * y). [para(4804(a,1),1631(a,2,2))]. 4814 T(x * y,K(y,x)) = x * y. [para(13(a,1),4811(a,1,2,1))]. 4815 K(x,y) \ (x * y) = y * x. [hyper(377,a,4814,a)]. 4816 K(x,y) = (x * y) / (y * x). [para(4814(a,1),255(a,1,2)),flip(a)]. 4817 K(x,y) * (y * x) = x * y. [para(4815(a,1),14(a,1,2))]. 4818 K(x,x \ y) \ y = (x \ y) * x. [para(14(a,1),4815(a,1,2))]. 4819 x * (y * z) != z * y | K(z,y) = x. [para(4815(a,1),86(a,1,2)),flip(b)]. 4821 K(x,y) = T(y,x) \ y. [hyper(236,a,4060,a(flip),b,4816,a)]. 4823 K(x \ (x / y),x) = K(y \ 1,x). [hyper(236,a,4092,a,b,4821,a),flip(a)]. 4824 K(x,y) = ((y * x) / y) \ x. [hyper(236,a,3987,a,b,4821,a)]. 4825 (x * T(x \ 1,y)) \ 1 = K(y,x \ 1). [hyper(236,a,3236,a,b,4821,a),flip(a)]. 4826 K(x,y) = y / T(y,x). [hyper(236,a,3127,a,b,4821,a)]. 4827 K(x,y) = (1 / T(y,x)) * y. [hyper(236,a,3124,a,b,4821,a)]. 4828 K(x,y) = y * (T(y,x) \ 1). [hyper(236,a,1004,a,b,4821,a)]. 4829 K(x,y) = x \ T(x,y). [hyper(236,a,4097,a(flip),b,4821,a)]. 4830 x * T(x \ 1,y) = K(x \ 1,y). [hyper(236,a,4091,a(flip),b,4821,a),flip(a)]. 4831 K(T(x,y),y) = x \ T(x,y). [hyper(236,a,3879,a(flip),b,4821,a)]. 4832 K(x,y) / y = 1 / T(y,x). [hyper(74,a,4821,a,b,3124,a)]. 4833 T(x,y) \ 1 = x \ K(y,x). [hyper(72,a,4821,a,b,1004,a),flip(a)]. 4834 x \ K(x \ 1,y) = T(x \ 1,y). [hyper(72,a,4821,a,b,4091,a(flip))]. 4835 K(x,y) = (T(y,x) \ 1) * T(y,y \ 1). [hyper(2559,a,4821,a(flip)),flip(a)]. 4836 T(x,y) * K(y,x) = x. [para(4821(a,2),14(a,1,2))]. 4838 L(T(x,y),z,u) \ L(x,z,u) = K(y,L(x,z,u)). [para(40(a,2),4821(a,2,1)),flip(a)]. 4839 R(T(x,y),z,u) \ R(x,z,u) = K(y,R(x,z,u)). [para(42(a,2),4821(a,2,1)),flip(a)]. 4840 T(x,y) = x / K(y,x). [para(4821(a,2),62(a,1,2)),flip(a)]. 4843 K((1 / x) \ y,y) = T(y,y * x) \ y. [para(1579(a,1),4821(a,2,1))]. 4844 (x \ 1) * K(y,x) = T(x,y) \ 1. [para(4821(a,2),2584(a,1,2))]. 4845 K(x,y) * T(y,x) = y. [para(4821(a,2),3129(a,1,1))]. 4846 T(x,y) = K(y,x) \ x. [para(4821(a,2),3130(a,1,1)),flip(a)]. 4847 T(x,y) = (K(y,x) / x) \ 1. [para(4821(a,2),3125(a,1,1,1)),flip(a)]. 4848 (1 / x) * K(y,x) = 1 / T(x,y). [para(4821(a,2),3123(a,1,2))]. 4849 R(x,K(x,y),z) = x. [para(4821(a,2),3927(a,1,2))]. 4851 K(x,y) * ((y * x) / y) = x. [para(4821(a,2),3990(a,1,1))]. 4852 x * (((y * x) / y) \ z) = K(x,y) * z. [para(4821(a,2),4055(a,2,1))]. 4853 T(x * K(y,x),y) = x. [para(4821(a,2),4127(a,1,1,2))]. 4854 (x * y) / x = y * K(x,y). [para(4821(a,2),4100(a,2,2))]. 4856 x * (K(x,y) * z) = T(x,y) * z. [para(4821(a,2),4101(a,1,2,1))]. 4857 T(x,y) * (x \ z) = K(x,y) * z. [para(4821(a,2),4102(a,2,1))]. 4858 K(x / y,z) * x = y * T(y \ x,z). [para(4821(a,2),4182(a,1,1))]. 4859 x * (T(x,y) \ z) = K(y,x) * z. [para(4821(a,2),4374(a,1,1)),flip(a)]. 4860 K(x,y) * (T(y,x) * z) = y * z. [para(4821(a,2),4375(a,1,1))]. 4861 T(x,y) * (x \ y) = y * K(x,y). [para(4821(a,2),4382(a,2,2))]. 4862 (L(x,y,z) * K(x,u)) * w = L(x,y,z) * (K(x,u) * w). [para(4849(a,1),471(a,1,1,1)),flip(a)]. 4864 K(x,y) \ y != z | T(y,x) = z. [para(4826(a,2),282(a,1,1)),flip(b)]. 4866 (1 / (1 / x)) \ K(y,x) = 1 / T(x,y). [para(4826(a,2),2605(a,1,2))]. 4867 L(T(x,y),T(z,x),z / T(z,x)) * z = K(x,z) * (T(x,y) * T(z,x)). [para(4826(a,2),4298(a,2,1))]. 4868 K(x * K(y,y \ 1),z) = z / T(z,x). [para(4487(a,1),4826(a,2,2))]. 4869 x \ T(x,y) = T(K(x,y),x). [hyper(3783,a,4829,a),flip(a)]. 4870 (x \ 1) \ K(x,y) = T(T(x,y),x \ 1). [hyper(394,a,4829,a,b,930,a),flip(a)]. 4871 (T(x,y) * z) / (x * z) = K(x,y). [hyper(236,a,3931,a,b,4829,a),flip(a)]. 4872 L(x \ T(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [hyper(236,a,3819,a,b,4829,a),flip(a)]. 4874 K(x,y) = ((x * y) / x) * (y \ 1). [hyper(236,a,3750,a,b,4829,a)]. 4875 K(x,y) = ((x * y) / x) / y. [hyper(236,a,3747,a,b,4829,a)]. 4876 x * ((y * (x \ 1)) / y) = K(y,x \ 1). [hyper(236,a,3746,a,b,4829,a),flip(a)]. 4877 K(x,y) = y \ ((x * y) / x). [hyper(236,a,3743,a,b,4829,a)]. 4878 K(x,y) = (1 / x) * T((1 / x) \ 1,y). [hyper(236,a,3197,a,b,4829,a)]. 4879 K(x,y) = (1 / x) * T(x,y). [hyper(236,a,3196,a,b,4829,a)]. 4880 K(x,y) = T(x,y) / x. [hyper(236,a,3193,a,b,4829,a)]. 4881 K(x,y) = T(x,y) * (x \ 1). [hyper(236,a,930,a,b,4829,a)]. 4882 T(x \ T(x,y \ 1),z) = K(x,T(y,z) \ 1). [hyper(236,a,3810,a(flip),b,4829,a),flip(a)]. 4883 x * T(x \ 1,y) = K(1 / x,y). [hyper(236,a,713,a(flip),b,4829,a),flip(a)]. 4885 K(x,y) / T(x,y) = 1 / x. [hyper(74,a,4829,a,b,3196,a)]. 4886 ((x * y) / x) \ K(x,y) = y \ 1. [hyper(72,a,4829,a,b,3750,a)]. 4887 T(x,y) = x * K(x,y). [para(4829(a,2),14(a,1,2)),flip(a)]. 4888 L(x,y,z) \ L(T(x,u),y,z) = K(L(x,y,z),u). [para(40(a,2),4829(a,2,2)),flip(a)]. 4889 R(x,y,z) \ R(T(x,u),y,z) = K(R(x,y,z),u). [para(42(a,2),4829(a,2,2)),flip(a)]. 4890 x * K(x,y) != z | T(x,y) = z. [para(4829(a,2),216(a,1,2)),flip(b)]. 4891 x * K(x,y) != z * u | z \ T(x,y) = u. [para(4829(a,2),367(a,1,2))]. 4894 K(x,y) * ((x \ 1) \ z) = z * T(z \ ((x \ 1) \ z),y). [para(4829(a,2),1099(a,1,1))]. 4895 K(x,x * (y \ 1)) = x \ T(x,y \ x). [para(1578(a,1),4829(a,2,2))]. 4896 x \ T(x,y \ 1) = K(x,1 / y). [para(3019(a,1),4829(a,2,2)),flip(a)]. 4897 T(x,y) = K(x,y) * x. [para(4829(a,2),3194(a,1,1)),flip(a)]. 4898 K(x,y) * x != z | T(x,y) = z. [para(4829(a,2),3199(a,1,1))]. 4899 K(a(x,y,z),z \ L(z,y,x)) = a(x,y,z) \ ((a(x,y,z) \ 1) \ 1). [para(3432(a,1),4829(a,2,2))]. 4900 (x * K(y,x)) * y = y * x. [para(4829(a,2),3737(a,1,1,2))]. 4901 T(x,y) * K(y,T(x,y)) = x. [para(4829(a,2),3740(a,1,2))]. 4902 (x * y) / x = K(x,y) * y. [para(4829(a,2),3748(a,1,1)),flip(a)]. 4903 (x \ y) * K(x,x \ y) = y / x. [para(4829(a,2),3739(a,1,2))]. 4904 L(x,K(y,z),y) = x. [para(4829(a,2),3869(a,1,2))]. 4906 K(x,y) * (x * z) = T(x,y) * z. [para(4829(a,2),3873(a,1,1))]. 4907 x * (T(x,y) \ z) = K(x,y) \ z. [para(4829(a,2),3881(a,1,1)),flip(a)]. 4908 K(x,y) \ (T(x,y) * z) = x * z. [para(4829(a,2),3932(a,1,1))]. 4909 K(x,x \ y) * y = x * (y / x). [para(4829(a,2),3938(a,1,1))]. 4910 K(x,y) \ z != u | x * (T(x,y) \ z) = u. [para(4829(a,2),3962(a,1,1))]. 4913 K(x,y * K(z,z \ 1)) = x \ T(x,y). [para(4487(a,1),4829(a,2,2))]. 4914 L(x,K(y,z),y) = L(x,u / w,(w * (u / w)) \ u). [hyper(236,a,3976,a,b,4904,a)]. 4919 (x \ y) * K(x,y / x) = y / x. [para(121(a,1),4836(a,1,1))]. 4920 T(x,y) \ x != z | K(y,x) = z. [para(4836(a,1),283(a,1,2)),flip(b)]. 4923 ((x \ y) \ y) * K(y / x,x) = x. [para(4149(a,1),4836(a,1,1))]. 4924 x * (y * K(x,y)) = T(x,y) * y. [para(4836(a,1),4389(a,1,2)),flip(a)]. 4926 ((x \ (y * K(z,x))) * x) / K(z,x) = T(x,z) * T((x / K(z,x)) \ y,x). [para(4840(a,2),1403(a,1,1)),flip(a)]. 4927 K(x,y / x) * (x \ y) = y / x. [para(121(a,1),4845(a,1,2))]. 4928 x / T(x,y) != z | K(y,x) = z. [para(4845(a,1),296(a,1,1)),flip(b)]. 4929 K(x,y) * z != y * L(u,T(y,x),K(x,y)) | T(y,x) * u = z. [para(4845(a,1),437(a,1,1)),flip(a)]. 4930 T(x,(y \ x) \ 1) = T(x,x \ y). [hyper(236,a,4180,a,b,4846,a),flip(a)]. 4931 T(x,x \ (x / y)) = T(x,y \ 1). [hyper(236,a,4096,a(flip),b,4846,a)]. 4932 K(x \ y,x) * R(T(x,x \ y),z,u) = y \ ((R(x,z,u) * (x \ y)) * x). [para(4846(a,2),2419(a,1,2,1))]. 4933 T(T(x * K(y,x),z),y) = T(x,z). [para(4853(a,1),38(a,1,1)),flip(a)]. 4934 (x * K(y,x)) \ (y * x) = y. [para(4853(a,1),164(a,1,2,2))]. 4936 T(x * K(y,x),z) * y = y * T(x,z). [para(4853(a,1),180(a,1,2,1)),flip(a)]. 4937 L(x * K(y,x),z,u) * y = y * L(x,z,u). [para(4853(a,1),181(a,1,2,1)),flip(a)]. 4938 R(x * K(y,x),z,u) * y = y * R(x,z,u). [para(4853(a,1),182(a,1,2,1)),flip(a)]. 4939 T((x * (y * K(z,y))) / x,z) = (x * y) / x. [para(4853(a,1),412(a,1,1,2)),flip(a)]. 4941 T(1 / (1 / (x * K(y,x))),y) = 1 / (1 / x). [para(4853(a,1),2482(a,1,2,2)),flip(a)]. 4942 (x * K(y,x)) * ((y \ 1) \ 1) = ((y \ 1) \ 1) * x. [para(4853(a,1),3027(a,1,2)),flip(a)]. 4943 T(K(x,y) * y,x) = y. [para(3138(a,2),4853(a,1,1))]. 4944 T(x \ K(y,x \ 1),y) = x \ 1. [para(3170(a,1),4853(a,1,1))]. 4945 T(x,y * K(x,y)) = T(x,y). [para(4853(a,1),4104(a,1,2)),flip(a)]. 4946 T(x,L(y * K(x,y),z,u)) = T(x,L(y,z,u)). [para(4853(a,1),4118(a,1,2,1)),flip(a)]. 4948 K(x \ 1,y) != z | x * T(x \ 1,y) = z. [para(4880(a,2),1133(a,1))]. 4950 x * K(x,y * (z \ 1)) = T(x,y * (1 / z)). [hyper(236,a,4500,a,b,4887,a(flip))]. 4952 x * K(x,y \ x) = T(x,x / y). [hyper(236,a,3892,a,b,4887,a(flip))]. 4954 T(x,y) != x * z | K(x,y) = z. [para(4887(a,2),19(a,1))]. 4955 ((x * y) * K(y,z)) / T(y,z) = R(x,y,K(y,z)). [para(4887(a,2),30(a,2,2)),flip(a)]. 4956 x \ T(x,y) != z | K(x,y) = z. [para(4887(a,2),283(a,1,2)),flip(b)]. 4961 (x * y) * z != x * T(y,u) | L(K(y,u),y,x) = z. [para(4887(a,2),436(a,2,2))]. 4963 x * (L(x,y,z) \ K(x,u)) = L(x,y,z) \ T(x,u). [para(4887(a,2),1210(a,1,2)),flip(a)]. 4964 (1 / x) * K(x \ 1,y) = T(1 / x,y). [para(3244(a,1),4887(a,2,2)),flip(a)]. 4965 K(x,L(x,y,z) \ 1) = K(x,x \ 1). [hyper(4697,a,4897,a),flip(a)]. 4966 K(T(x,y),z) * T(x,y) = T(T(x,z),y). [hyper(417,a,4897,a),flip(a)]. 4968 K(x / y,y) * (x / y) = y \ x. [hyper(280,a,4897,a),flip(a)]. 4969 K(L(x,y,z),u) * L(x,y,z) = L(T(x,u),y,z). [hyper(236,a,40,a,b,4897,a(flip))]. 4971 x * (K(y,x) * y) = y * x. [para(4897(a,1),119(a,1,2))]. 4975 T(x,y) \ (K(x,y) * (z * x)) = L(T(z,x),x,K(x,y)). [para(4897(a,2),178(a,1,1))]. 4977 (x * K(y,z)) * u != x * T(y,z) | L(y,K(y,z),x) = u. [para(4897(a,2),436(a,2,2))]. 4978 (x * K(y,z)) * y != u * T(y,z) | R(x,K(y,z),y) = u. [para(4897(a,2),467(a,2,2))]. 4979 (K(x,y) * z) \ T(x,y) != u | L(z \ x,z,K(x,y)) = u. [para(4897(a,2),784(a,1,2))]. 4981 T(x,y) != z | x * K(x,y) = z. [para(4897(a,2),3254(a,1))]. 4982 K(L(x,y,z),z * y) * (z * (y * x)) = L(x,y,z) * (z * y). [para(103(a,1),4817(a,1,2))]. 4984 ((x * y) / x) \ 1 = y \ K(y,x). [hyper(72,a,4824,a,b,1268,a),flip(a)]. 4986 (x * y) \ (x * K(z,y)) = L(T(y,z) \ 1,y,x). [para(4828(a,2),28(a,2,2,2)),flip(a)]. 4987 L(T(x \ y,z) \ 1,x \ y,x) = y \ (x * K(z,x \ y)). [para(4828(a,2),104(a,1,2,2)),flip(a)]. 4988 K(T(x,y),y) = K(x,y). [hyper(236,a,4829,a,b,4831,a)]. 4990 T(x,y) \ K(T(x,y),y) = x \ 1. [hyper(72,a,4831,a,b,930,a)]. 4993 K(x,T(y,x)) = K(x,y). [hyper(3969,a,4988,a),flip(a)]. 4994 K(x,y / x) = K(x,x \ y). [hyper(236,a,3949,a(flip),b,4988,a(flip)),flip(a)]. 4995 K(x,(x * y) / x) = K(x,y). [hyper(236,a,3948,a(flip),b,4988,a(flip)),flip(a)]. 4996 K(x \ (y * x),x) = K(y,x). [para(32(a,1),4988(a,1,1))]. 4997 K(x / y,y) = K(y \ x,y). [para(121(a,1),4988(a,1,1)),flip(a)]. 4998 K((x \ y) \ y,x \ y) = K(x,x \ y). [para(120(a,1),4988(a,1,1))]. 4999 K(R(x,y,x),y * x) = K(T(x,y),y * x). [para(759(a,1),4988(a,1,1)),flip(a)]. 5000 K((x * y) * (x \ 1),x) = K(R(y,x,x \ 1),x). [para(748(a,1),4988(a,1,1)),flip(a)]. 5001 K(x,T(y,x)) != z | K(x,y) = z. [para(4988(a,1),3969(a,1))]. 5002 K(x / (x / y),y \ x) = K(y,y \ x). [para(4202(a,1),4988(a,1,1)),flip(a)]. 5003 K(x * K(y,x),y) = K(x,y). [para(4853(a,1),4988(a,1,1)),flip(a)]. 5004 K(x,x \ (y * x)) = K(x,y). [para(32(a,1),4993(a,1,2))]. 5005 K(x,L(T(y,x),z,u)) = K(x,L(y,z,u)). [para(40(a,2),4993(a,1,2))]. 5006 K(x \ y,(x \ y) \ y) = K(x \ y,x). [para(120(a,1),4993(a,1,2))]. 5007 K(x / y,x / (x / y)) = K(x / y,y). [para(186(a,1),4993(a,1,2)),flip(a)]. 5008 K(x,y * K(x,y)) = K(x,y). [para(4853(a,1),4993(a,1,2)),flip(a)]. 5010 L(T(x,y),T(x,y) \ 1,z) = (z * (K(y,x) / x)) \ z. [para(4832(a,2),2767(a,2,1,2))]. 5011 (K(x,y) / y) * L(T(y,x),z,u) = T(y,x) \ L(T(y,x),z,u). [para(4832(a,2),4767(a,1,1))]. 5012 ((x \ y) \ y) \ 1 = x \ K(x \ y,x). [hyper(236,a,637,a(flip),b,4833,a(flip)),flip(a)]. 5013 T(x,y) = 1 / (x \ K(y,x)). [para(4833(a,1),62(a,1,2)),flip(a)]. 5014 1 / (x \ K(y,x)) != z | T(x,y) = z. [para(4833(a,1),294(a,1,2)),flip(b)]. 5015 (x * T(y,z)) * (y \ K(z,y)) = R(x,T(y,z),T(y,z) \ 1). [para(4833(a,1),189(a,1,2))]. 5016 T(x,y) * (x \ K(z,x)) = T(x,z) \ T(x,y). [para(4833(a,1),1027(a,1,2))]. 5017 T(x,y) * L(x \ K(y,x),z,u) = T(x * L(x \ 1,z,u),y). [para(4833(a,1),2092(a,1,2,1))]. 5018 K(x,y) * K(y \ 1,y) = (T(y,x) \ 1) * y. [para(4833(a,2),4042(a,2,1))]. 5019 K(x,y) = x / ((y * x) / y). [hyper(87,a,4851,a),flip(a)]. 5020 K(x \ y,x) * (y / x) = x \ y. [para(14(a,1),4851(a,1,2,1))]. 5023 K(a(x,y,z),x * (y * z)) * (((x * y) * z) / (x * (y * z))) = a(x,y,z). [para(91(a,1),4851(a,1,2,1))]. 5025 x \ T(x * y,y) = y * K(x * y,y). [hyper(3958,a,4854,a)]. 5026 x / (x / y) = y * K(x / y,y). [hyper(379,a,4854,a)]. 5027 (x * y) \ ((x * y) / x) = L(x \ 1,x,y). [hyper(72,a,4854,a,b,1448,a)]. 5028 x * ((y * z) / y) = x * (z * K(y,z)). [hyper(21,a,4854,a)]. 5029 T(x * K(y,x),y) != z | z = x. [para(4854(a,1),287(a,1,1))]. 5030 T(x,y) * K(y,T(x,y)) != z | z = x. [para(4854(a,1),300(a,1))]. 5031 ((x * y) * z) / R(x,y,z) = (y * z) * K(R(x,y,z),y * z). [para(113(a,1),4854(a,1,1))]. 5032 R(x * K(y,x),y,z) = ((y * x) * z) / (y * z). [para(4854(a,1),114(a,1,1))]. 5033 R(x / y,y,K(z,x)) \ ((z * x) / z) = y * K(z,x). [para(4854(a,2),464(a,1,2))]. 5034 R(x * K(y,x),y,y \ 1) = (y * x) * (y \ 1). [para(4854(a,1),482(a,1,1))]. 5035 a(x,y,z) * K(x * (y * z),a(x,y,z)) = ((x * y) * z) / (x * (y * z)). [para(91(a,1),4854(a,1,1)),flip(a)]. 5036 T(T(x * K(y,x),z),y) != u | T(x,z) = u. [para(4854(a,1),672(a,1,1,1))]. 5037 T(x * K(y * x,x),y) = R(x,y,x). [para(4854(a,1),746(a,2,1)),flip(a)]. 5038 L(x * K(y,x),z,u) = (y * L(x,z,u)) / y. [para(4854(a,1),806(a,1,1))]. 5039 R(x * K(y,x),z,u) = (y * R(x,z,u)) / y. [para(4854(a,1),813(a,1,1))]. 5040 T(T(x * K(y,x),z),x * y) = L(T(x,z),y,x). [para(4854(a,1),894(a,1,1,1))]. 5041 L(x * K(y * z,x),z,y) = (y * (z * x)) / (y * z). [para(4854(a,1),807(a,1,1))]. 5042 (x * K(x * y,x)) * y = T(x * y,x). [para(4854(a,1),1265(a,1,1))]. 5043 T(x * K(y,x),x \ y) = (x \ y) \ T(y,x). [para(4854(a,1),1283(a,1,1))]. 5045 ((x * K(y * z,x)) * y) * z != u | (y * z) * R(x,y,z) = u. [para(4854(a,1),980(a,1,1,1))]. 5046 ((x * y) * L(y,z,u)) / (x * L(y,z,u)) = y * K(x * L(y,z,u),y). [para(1655(a,1),4854(a,1,1))]. 5047 (x * K(y,x)) \ ((y * (x * y)) / y) = L(y,x,y). [para(4854(a,1),1675(a,2,1)),flip(a)]. 5048 ((x * y) * R(y,z,u)) / (x * R(y,z,u)) = y * K(x * R(y,z,u),y). [para(1913(a,1),4854(a,1,1))]. 5049 K(x,y) = (1 / y) * ((x * y) / x). [para(4854(a,2),3168(a,1,2)),flip(a)]. 5050 T(x * K(y,x),y * x) = L(x,y,x). [para(4854(a,1),4254(a,1,1))]. 5051 (x * y) * K(T(y,x),x * y) != z | T(y,x * y) * T(x,y) = z. [para(4854(a,1),4356(a,1))]. 5052 (x \ (y * K(x,y))) * x = (x \ y) * T(x,y). [para(4854(a,1),4678(a,1,1,2))]. 5053 (x * K(y,x)) \ x = K(x,y). [para(4854(a,1),4824(a,2,1)),flip(a)]. 5054 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(y,(x * z) / x). [para(915(a,1),4875(a,2,1)),flip(a)]. 5055 (x \ T(x * y,y)) / y = K(x * y,y). [para(3918(a,1),4875(a,2,1)),flip(a)]. 5056 (x \ 1) \ K(y,x) = (y * ((x \ 1) \ 1)) / y. [hyper(72,a,4877,a,b,1269,a)]. 5057 (x \ y) \ (y / x) = K(x,x \ y). [para(14(a,1),4877(a,2,2,1)),flip(a)]. 5058 x * K(y,x) != z | (y * x) / y = z. [para(4877(a,2),216(a,1,2)),flip(b)]. 5059 x * (y * K(z,y)) != u | x * ((z * y) / z) = u. [para(4877(a,2),307(a,1,2,2))]. 5061 x * (T(x,y) \ K(z,x)) != u | T(x,y) \ ((z * x) / z) = u. [para(4877(a,2),1023(a,1,2,2))]. 5062 ((x * y) / x) * T(((x * y) / x) \ (z * (y \ ((x * y) / x))),y) = ((y \ z) * y) * K(x,y). [para(4877(a,2),985(a,1,2)),flip(a)]. 5063 K(x,y) * K(x \ 1,x) = (x \ 1) * T(x,y). [para(4879(a,2),2957(a,1,1))]. 5064 K(1 / x,y) / x = T(1 / x,y). [hyper(312,a,4881,a(flip))]. 5065 (x * T(y,z)) \ (x * K(y,z)) != u | L(y \ 1,T(y,z),x) = u. [para(4881(a,2),447(a,1,2,2))]. 5067 K(x * y,x \ (1 / y)) / (((x * y) \ 1) \ 1) = 1 / (x * y). [para(3520(a,1),4885(a,1,2))]. 5068 T(x,y) * K(y * R(x,z,u),T(x,y)) = R(x,y,R(x,z,u)). [hyper(18,a,1931,a,b,4900,a)]. 5069 ((x * y) * z) * a(z * K(x * y,z),x,y) = ((z * K(x * y,z)) * x) * y. [para(4900(a,1),91(a,1,1))]. 5070 ((x * y) * z) / (x * z) != u | R(y * K(x,y),x,z) = u. [para(4900(a,1),475(a,1,1,1))]. 5071 (x \ K(y,x \ 1)) * y = y * (x \ 1). [para(3170(a,1),4900(a,1,1))]. 5072 x / ((y * K(x,y)) * ((x \ 1) \ 1)) = (1 / (1 / x)) / (x * y). [para(4900(a,1),4680(a,1,2)),flip(a)]. 5073 K(x,x \ y) * (x \ y) = y / x. [para(14(a,1),4902(a,1,1)),flip(a)]. 5074 x * ((y * z) / y) != u | x * (z * K(y,z)) = u. [para(4934(a,1),536(a,1,2,2))]. 5077 x \ (y * (x / y)) = K(y,y \ x). [hyper(236,a,98,a,b,4994,a(flip)),flip(a)]. 5078 K(x,x \ (y \ x)) = K(x,y \ 1). [hyper(236,a,4412,a(flip),b,4994,a(flip))]. 5079 x * K(y,y \ x) = y * (x / y). [para(4994(a,1),250(a,1,2))]. 5080 (x * (y / x)) \ y = K(x \ y,x). [hyper(236,a,99,a,b,4997,a(flip)),flip(a)]. 5081 x * K(x / y,y) = (y \ x) * y. [para(4997(a,2),249(a,1,2))]. 5087 K(x,y) / x = 1 / ((y * x) / y). [hyper(74,a,5019,a,b,1323,a)]. 5090 x / (x * K(y,x)) = K(x,y). [para(4854(a,1),5019(a,2,2)),flip(a)]. 5091 K(x,y) \ x = x * K(y,x). [para(5090(a,1),65(a,1,1))]. 5093 K(x,y) \ 1 = K(y,x). [hyper(17,a,3419,a,b,5091,a(flip)),flip(a)]. 5094 L(x * K(y,x),K(x,y),z) = (z * K(x,y)) \ (z * x). [para(5091(a,1),105(a,1,1))]. 5095 K(x,x \ y) \ 1 = K(y / x,x). [hyper(236,a,4997,a,b,5093,a)]. 5097 K(x \ y,x) \ 1 = K(x,y / x). [hyper(236,a,4994,a,b,5093,a)]. 5098 K(T(x,y),y) = K(y,x) \ 1. [hyper(236,a,4988,a,b,5093,a),flip(a)]. 5100 K(T(x,y),y) \ 1 = K(y,x). [hyper(236,a,4993,a(flip),b,5093,a)]. 5101 K(x,y) * K(y,x) = 1. [para(5093(a,1),14(a,1,2))]. 5102 1 / K(x,y) = K(y,x). [para(5093(a,1),62(a,1,2))]. 5103 x * (K(y,z) * K(z,y)) = x. [para(5093(a,1),56(a,1,2,2))]. 5104 x * K(y,z) != 1 | K(z,y) = x. [para(5093(a,1),86(a,1,2)),flip(b)]. 5105 K(x,y) * K(y,x) != z | 1 = z. [para(5093(a,1),216(a,1,2)),flip(b)]. 5106 1 / K(x,y) != z | K(y,x) = z. [para(5093(a,1),294(a,1,2)),flip(b)]. 5107 x * (K(y,z) * K(z,y)) != u | u = x. [para(5093(a,1),154(a,1,2,2))]. 5111 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(5093(a,1),2041(a,2,1,2,1))]. 5113 (x * K(y,x)) \ 1 = x \ K(x,y). [para(5093(a,1),3487(a,2,2))]. 5115 K(x,y) * z != 1 | K(y,x) = z. [para(5101(a,1),19(a,1)),flip(a)]. 5116 K(x,y) \ 1 != z | K(y,x) = z. [para(5101(a,1),283(a,1,2)),flip(b)]. 5118 T(x * K(y,z),x \ K(z,y)) = ((x * K(y,z)) \ 1) \ 1. [para(5102(a,1),3520(a,1,2,2))]. 5119 K(T(x,y),y) \ 1 != z | K(y,x) = z. [para(5098(a,1),3969(a,1))]. 5123 (1 / x) * K(x \ 1,y) != z | T(1 / x,y) = z. [para(3244(a,1),4890(a,1,2))]. 5124 L(T(x,y),z,u) \ L(x,z,u) != w | K(y,L(x,z,u)) = w. [para(40(a,2),4920(a,1,1))]. 5125 R(T(x,y),z,u) \ R(x,z,u) != w | K(y,R(x,z,u)) = w. [para(42(a,2),4920(a,1,1))]. 5128 (x / y) \ (y \ x) != z | K(y \ x,y) = z. [para(3988(a,1),4920(a,1))]. 5129 x * T(x \ 1,y) != z | K(x \ 1,y) = z. [para(4091(a,1),4920(a,1))]. 5130 L(x,y,z) \ L(T(x,u),y,z) != w | K(L(x,y,z),u) = w. [para(40(a,2),4956(a,1,2))]. 5131 x \ L(T(x,y),y,x) != z | K(x,x * y) = z. [para(595(a,2),4956(a,1,2))]. 5132 (x * T(x \ y,z)) / y != u | K(y / x,z) = u. [para(3945(a,2),4956(a,1))]. 5134 T(K(x,y),x) != z | K(x,y) = z. [para(4869(a,1),4956(a,1))]. 5139 K(x,x \ (y * x)) != z | K(x,y) = z. [para(32(a,1),5001(a,1,2))]. 5141 K(x,T(x \ y,z)) != u | K(x,T(y / x,z)) = u. [para(183(a,1),5001(a,1,2))]. 5142 K(x,R(T(y,x * z),x,z)) != u | K(x,(x * z) \ ((x * y) * z)) = u. [para(984(a,1),5001(a,1,2))]. 5144 K((x \ 1) \ 1,y) != z | K(x,y) = z. [para(3098(a,1),5134(a,1))]. 5146 R(x * T(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [hyper(2390,a,4823,a)]. 5147 L(x * T(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [hyper(236,a,2379,a,b,4823,a(flip)),flip(a)]. 5148 T(x * T(x \ 1,y),z) = K(T(x,z) \ 1,y). [hyper(236,a,2055,a,b,4823,a(flip)),flip(a)]. 5149 (x * T(x \ y,z)) / y = K((x / y) \ 1,z). [hyper(236,a,1406,a(flip),b,4823,a(flip)),flip(a)]. 5150 x \ (y * T(y \ x,z)) = K((x \ y) \ 1,z). [hyper(236,a,1250,a(flip),b,4823,a(flip)),flip(a)]. 5151 (x \ (x / y)) * x = (x / y) * K(y \ 1,x). [para(4823(a,1),249(a,1,2)),flip(a)]. 5152 x * T(x \ y,z) = y * K((y \ x) \ 1,z). [para(4823(a,1),1248(a,2,2))]. 5154 (x \ y) * K(((x \ y) \ (x \ 1)) \ 1,z) = x \ T(y,z). [para(4823(a,1),1249(a,1,2))]. 5156 T(1 / x,y) * x = K(x \ 1,y). [hyper(409,a,4830,a)]. 5157 x \ K((x * y) \ 1,z) = y * T(y \ (x \ 1),z). [hyper(72,a,4830,a(flip),b,857,a(flip))]. 5160 ((x * y) \ x) * (x * y) = x * K(y \ 1,x * y). [para(4830(a,1),887(a,2,2))]. 5161 K(x \ 1,y) * (x \ z) = z * T(z \ (x \ z),y). [para(4830(a,1),1098(a,1,1))]. 5162 K(x \ 1,y) * (x \ y) = (y \ (x \ y)) * y. [para(4830(a,1),1104(a,2,1)),flip(a)]. 5163 x * (y * T(y \ (x \ y),z)) = K(x \ 1,z) * y. [para(4830(a,1),1364(a,2,1))]. 5164 K((x / y) \ 1,z) * y = x * T(x \ y,z). [para(4830(a,1),1407(a,1,1))]. 5165 K((x * y) \ 1,x) != z | ((x \ (1 / y)) * x) * y = z. [para(4830(a,1),1453(a,1))]. 5166 (x * (y * T(y \ 1,z))) * y = (x * y) * K(y \ 1,z). [para(4830(a,1),1539(a,2,2))]. 5168 (x * y) * (z * T(z \ L(y \ z,y,x),u)) = (x * K(y \ 1,u)) * z. [para(4830(a,1),2238(a,2,1,2))]. 5171 (x \ 1) * K(y,x) = x \ K(y,x). [hyper(236,a,4833,a(flip),b,4844,a)]. 5172 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) != u | L(K(z,y),y \ 1,x) = u. [para(4844(a,1),447(a,1,2,2))]. 5173 K(x,y) * (1 / y) = 1 / T(y,x). [hyper(236,a,2230,a,b,4848,a(flip)),flip(a)]. 5174 K(x,y) \ (x \ z) = T(x,y) \ z. [hyper(546,a,4856,a),flip(a)]. 5175 x \ (T(x,y) * z) = K(x,y) * z. [hyper(80,a,4856,a)]. 5176 x \ (((x \ y) \ y) * z) = K(x,x \ y) * z. [hyper(72,a,256,a(flip),b,4856,a)]. 5177 K(x,y) * T(z,T(x,y)) = x \ (z * T(x,y)). [hyper(72,a,119,a(flip),b,4856,a),flip(a)]. 5178 K(x,y) * (T(x,y) \ z) = x \ z. [hyper(72,a,14,a(flip),b,4856,a),flip(a)]. 5179 ((x * y) / x) \ z = K(y,x) * (y \ z). [hyper(17,a,4183,a,b,4856,a),flip(a)]. 5180 K(x,y) * (z * x) = T(x,y) * T(z,x). [hyper(17,a,999,a,b,4856,a)]. 5181 K(x,y) * T(y,y * x) = L(y,x,y). [hyper(17,a,4303,a(flip),b,4856,a)]. 5182 K(x * y,x) * T(x,y) = R(x,y,x). [hyper(17,a,4228,a(flip),b,4856,a)]. 5183 T(x,y) * z != x * u | K(x,y) * z = u. [para(4856(a,1),19(a,1))]. 5184 (x * ((K(x,y) * z) * u)) \ ((T(x,y) * z) * u) = a(x,K(x,y) * z,u). [para(4856(a,1),24(a,2,2,1)),flip(a)]. 5185 x \ (T(x,y) * z) != u | K(x,y) * z = u. [para(4856(a,1),283(a,1,2)),flip(b)]. 5186 x * (K(y,x) * K(x,z)) = T(x,z) * K(y,x). [para(2192(a,1),4856(a,1,2))]. 5187 (x * y) / (T(x,z) * y) = K(z,x). [hyper(4392,a,4857,a)]. 5188 K(x,y) \ (y * z) = T(y,x) * z. [hyper(4391,a,4857,a)]. 5189 (x \ y) / (T(x,z) \ y) = K(x,z). [hyper(1025,a,4857,a)]. 5190 (x \ y) * T((x \ y) \ y,z) = K(x,z) * y. [hyper(895,a,4857,a)]. 5191 T(x,y) \ (K(x,y) * z) = x \ z. [hyper(80,a,4857,a)]. 5192 x * (K(x,y) * (x \ z)) = K(x,y) * z. [hyper(236,a,4856,a,b,4857,a(flip)),flip(a)]. 5193 ((x * y) / x) \ (y * z) = K(y,x) * z. [hyper(236,a,4292,a,b,4857,a(flip)),flip(a)]. 5195 x \ (K(x,y) * z) = K(x,y) * (x \ z). [hyper(72,a,4857,a(flip),b,4856,a)]. 5196 x \ (K(y,x) * z) = T(x,y) \ z. [hyper(72,a,4857,a(flip),b,4382,a(flip))]. 5198 K(x,y) * (T(x,y) \ z) != u | x \ z = u. [para(4857(a,1),1022(a,1))]. 5201 K(x,y) * T(x,z) = T(x,y) * K(x,z). [para(4829(a,2),4857(a,1,2)),flip(a)]. 5202 ((x * y) / x) * (y \ z) = K(x,y) * z. [hyper(4397,a,4859,a)]. 5203 T(x,y) \ (x * z) = K(y,x) * z. [hyper(1033,a,4859,a)]. 5204 K(x,y) * (y \ z) = T(y,x) \ z. [hyper(1023,a,4859,a),flip(a)]. 5205 K((x / y) / (y \ 1),z) = (T(x,z) / y) / (x / y). [hyper(74,a,4519,a(flip),b,4859,a(flip)),flip(a)]. 5207 T(x,y) * (K(y,x) * z) = x * z. [para(4859(a,1),1002(a,1,2))]. 5208 K(x,y) * (y \ z) != u | T(y,x) \ z = u. [para(4859(a,1),1023(a,1))]. 5212 (x * y) / (T(x,z) * y) != u | K(z,x) = u. [para(4860(a,1),296(a,1,1)),flip(b)]. 5213 x * (T(x,y) \ z) != u | K(y,x) * z = u. [para(4860(a,1),307(a,1))]. 5214 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(4860(a,1),440(a,1,1)),flip(a)]. 5215 x \ (T(x,y) * y) = y * K(x,y). [hyper(1030,a,4861,a)]. 5216 K(x,y) * (x * z) != u | T(x,y) * z = u. [para(4871(a,1),221(a,1,1)),flip(b)]. 5218 (x * T(x \ y,y)) * (y \ 1) = K(x \ y,y). [para(1169(a,1),4874(a,2,1)),flip(a)]. 5219 (x * T(x \ y,z)) / y = K(1 / (x / y),z). [hyper(236,a,1401,a(flip),b,4883,a(flip)),flip(a)]. 5221 (x * y) * K(1 / L(z,y,x),u) = x * (y * (z * T(z \ 1,u))). [para(4883(a,1),2380(a,1,2))]. 5222 (x / y) \ K(y,y \ x) = (y \ x) \ 1. [para(14(a,1),4886(a,1,1,1))]. 5223 K(x,1 / y) = K(x,y \ 1). [hyper(4956,a,4896,a),flip(a)]. 5224 K(x,(x / y) / x) = K(x,1 / y). [hyper(3791,a,4896,a)]. 5225 x \ (y * ((z * (y \ x)) / z)) = K(z,1 / (x \ y)). [hyper(236,a,3799,a,b,4896,a(flip)),flip(a)]. 5227 x \ K(y,1 / x) = (y * (x \ 1)) / y. [hyper(72,a,4896,a(flip),b,3746,a)]. 5228 K(x,1 / y) != z | K(x,y \ 1) = z. [para(4896(a,1),4956(a,1))]. 5233 K(x,(y \ 1) \ 1) = K(x,y). [para(62(a,1),5223(a,1,2)),flip(a)]. 5234 K(x,1 / (1 / y)) = K(x,y). [para(65(a,1),5223(a,2,2))]. 5235 (1 / x) * K(y,1 / x) = K(y,x \ 1) / x. [para(5223(a,1),2325(a,2,1))]. 5236 K(((x \ 1) \ 1) \ y,x) = K(x \ y,x). [hyper(3389,a,5233,a),flip(a)]. 5237 K(K(x \ 1,x) * y,x) = K(y,x). [hyper(3387,a,5233,a),flip(a)]. 5238 K(x,T(y,1 / y)) = K(x,y). [para(1756(a,2),5233(a,1,2))]. 5239 K(x,T(y / z,z / y)) = K(x,y / z). [para(2145(a,2),5233(a,1,2))]. 5240 K(x,T(1 / y,z)) = K(x,T(y \ 1,z)). [para(2483(a,1),5233(a,1,2)),flip(a)]. 5241 K(x,T(y / z,y \ z)) = K(x,y / z). [para(2582(a,2),5233(a,1,2))]. 5242 K(x,((1 / y) \ z) / z) = K(x,((y \ 1) \ z) / z). [para(3072(a,1),5233(a,1,2)),flip(a)]. 5246 K(x,L(L(1 / y,z,u),w,v5)) = K(x,L(L(y \ 1,z,u),w,v5)). [para(2705(a,1),5234(a,1,2))]. 5247 (1 / (1 / x)) / K(y,x) = T(1 / (1 / x),y). [para(5234(a,1),4840(a,2,2)),flip(a)]. 5250 T(x \ y,R(y / x,z,u)) = x \ y. [para(4903(a,1),4446(a,1,2,1))]. 5252 K(x,y) \ (z * T(x,y)) = x * T(z,T(x,y)). [hyper(72,a,119,a(flip),b,4906,a)]. 5253 K(R(x,y,z),u) * (R(x,y,z) * w) = R(T(x,u),y,z) * w. [para(42(a,2),4906(a,2,1))]. 5254 T(x,y) * (x \ z) != u | K(x,y) * z = u. [para(4906(a,1),307(a,1))]. 5255 K(x,y) * (L(z,u,w) * x) = T(x,y) * L(T(z,x),u,w). [para(181(a,1),4906(a,1,2))]. 5256 T(x,y) * T(z,x) != u | K(x,y) * (z * x) = u. [para(4906(a,1),535(a,1))]. 5257 (T(x,y) * z) \ (K(x,y) * (x * (z * u))) = L(L(u,z,x),x * z,K(x,y)). [para(4906(a,1),440(a,1,1))]. 5259 x \ (K(y,z) \ x) = T(K(z,y),x). [hyper(394,a,4907,a(flip),b,4859,a(flip)),flip(a)]. 5260 K(x,y) \ z = K(y,x) * z. [hyper(236,a,4859,a(flip),b,4907,a(flip))]. 5261 (K(x,y) \ z) / z = K(y,x). [hyper(74,a,4907,a(flip),b,4859,a(flip))]. 5262 (x \ 1) / (x \ K(x,y)) = K(y,x). [hyper(4038,a,5260,a)]. 5263 K(x,y) * (y \ K(y,x)) = y \ 1. [hyper(4037,a,5260,a),flip(a)]. 5264 K(x,y) * R(K(y,x),z \ 1,z) = a(K(y,x),z \ 1,z). [hyper(3631,a,5260,a),flip(a)]. 5265 K(x,y) * R(K(y,x),z,z \ 1) = a(K(y,x),z,z \ 1). [hyper(690,a,5260,a),flip(a)]. 5266 x / (K(y,z) * x) = K(z,y). [hyper(428,a,5260,a)]. 5268 K(x,y) * (K(y,x) * z) = z. [hyper(306,a,5260,a),flip(a)]. 5269 K(x,y) * (z * K(y,x)) = T(z,K(y,x)). [hyper(284,a,5260,a),flip(a)]. 5270 x * (K(y,z) * u) != u | K(z,y) = x. [para(5260(a,1),86(a,1,2)),flip(b)]. 5271 K(x,y) * (K(y,x) * z) != u | u = z. [para(5260(a,1),216(a,1,2))]. 5272 x / (K(y,z) * x) != u | K(z,y) = u. [para(5260(a,1),294(a,1,2)),flip(b)]. 5275 (K(x,y) \ z) * L(u,z,K(y,x)) = K(y,x) * (z * u). [para(5260(a,2),103(a,1,1))]. 5276 L(x \ (K(y,z) * u),x,K(z,y)) = (K(z,y) * x) \ u. [para(5260(a,1),227(a,1,1,2))]. 5277 L(K(x,y) * (z \ u),K(y,x),z) = (z * K(y,x)) \ u. [para(5260(a,1),227(a,1,1))]. 5279 T((x \ K(y,z)) \ 1,K(z,y) * x) = (x \ K(y,z)) \ 1. [para(5260(a,1),539(a,1,2))]. 5280 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(y,z) \ u). [para(5260(a,1),309(a,1,1,3))]. 5281 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(5260(a,1),3696(a,1,1))]. 5283 K(x,y) * z != u | K(y,x) \ z = u. [para(5261(a,1),221(a,1,1)),flip(b)]. 5284 K(x,y) != z | K(y,x) \ 1 = z. [para(5261(a,1),224(a,1)),flip(b)]. 5285 K(x,y) * z != u | K(y,x) * u = z. [para(5266(a,1),81(a,1,1)),flip(b)]. 5286 K(x,y) \ z != u | K(y,x) * z = u. [para(5266(a,1),282(a,1,1)),flip(b)]. 5288 K(x,y) * (K(x,z) * K(y,x)) = K(x,z). [hyper(17,a,2192,a(flip),b,5268,a)]. 5289 L((K(x,y) * z) \ u,K(x,y) * z,K(y,x)) = z \ (K(y,x) * u). [para(5268(a,1),105(a,2,1))]. 5290 R(x,K(y,z),K(z,y) * u) * u = (x * K(y,z)) * (K(z,y) * u). [para(5268(a,1),113(a,1,2))]. 5291 T(x,K(y,z)) != u | K(z,y) * (x * K(y,z)) = u. [para(5268(a,1),535(a,1))]. 5292 R(T(K(x,y),z),K(y,x) * u,(K(y,x) * u) \ z) = z \ (u * ((K(y,x) * u) \ z)). [para(5268(a,1),700(a,1,2,1)),flip(a)]. 5297 T(x * (y / x),z) / T(y,z) = K(x,x \ T(y,z)). [hyper(74,a,4615,a,b,4909,a)]. 5298 K(x \ y,x) * (x * (y / x)) = y. [hyper(17,a,5268,a,b,4909,a),flip(a)]. 5300 (x * (y / x)) \ (K(x,x \ y) * (y * z)) != u | L(z,y,K(x,x \ y)) = u. [para(4909(a,1),447(a,1,1))]. 5301 R(x,y,z * K(y,z)) * (T(y,z) * z) = (x * y) * (z * K(y,z)). [para(4924(a,1),113(a,1,2))]. 5302 T(x,y * K(x,y)) / (T(x,y) * y) = x / ((y * K(x,y)) * x). [para(4924(a,1),4171(a,1,2))]. 5303 T(x,x \ y) / (y \ x) = x * (y / x). [para(4930(a,1),3792(a,1,1))]. 5304 K(x,x / y) = K(x,y \ x). [hyper(17,a,4887,a(flip),b,4952,a),flip(a)]. 5305 K(x,(y \ x) \ x) = K(x,y). [para(62(a,1),5304(a,1,2)),flip(a)]. 5306 K(x,x / (x / y)) = K(x,y). [para(65(a,1),5304(a,2,2))]. 5307 K(x,T(y,y \ x)) = K(x,y). [para(120(a,2),5305(a,1,2))]. 5309 K(x \ y,T(y,x \ 1)) = K(x \ y,y). [para(4070(a,1),5307(a,1,2))]. 5311 T(x,x \ K(x,y)) = (x \ 1) \ 1. [para(4984(a,1),2569(a,1,2))]. 5312 T(x,y \ K(y,z)) = T(x,z / (z * y)). [para(4984(a,1),4187(a,1,2))]. 5313 (x * y) \ K(x * y,y) = (L(y,x,y) * x) \ 1. [para(4233(a,1),4984(a,1,1)),flip(a)]. 5314 K(x \ L(T(x,y),z,u),x) = 1. [hyper(73,a,4751,a,b,5020,a),flip(a)]. 5318 K(x \ L((x \ y) \ y,z,u),x) = 1. [para(120(a,1),5314(a,1,1,2,1))]. 5319 (x * (y / x)) \ x = y \ (y / (y / x)). [para(5026(a,2),1447(a,1,2)),flip(a)]. 5320 (x \ y) * K(x,x \ y) != z | y / x = z. [para(5057(a,1),216(a,1,2)),flip(b)]. 5323 x * K(y,y \ x) != z | y * (x / y) = z. [para(5077(a,1),216(a,1,2)),flip(b)]. 5326 K(x,(x / y) \ 1) = K(x,x \ y). [para(65(a,1),5078(a,1,2,2)),flip(a)]. 5327 K(x,y \ 1) * (y \ x) = x * ((y \ x) / x). [para(5078(a,1),4909(a,1,1))]. 5328 T(x,K(y,y \ x)) = x. [hyper(168,a,5079,a,b,4909,a)]. 5330 (x * (y / x)) \ (y * (K(x,x \ y) * z)) = L(z,K(x,x \ y),y). [para(5079(a,1),28(a,2,1)),flip(a)]. 5332 (x \ y) * x != y * z | K(y / x,x) = z. [para(5081(a,1),19(a,1))]. 5333 K(R(x,y,y \ 1),y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(768(a,1),5087(a,2,2))]. 5334 1 / (x * K(y,x)) = K(x,y) / x. [para(4854(a,1),5087(a,2,2)),flip(a)]. 5335 K(x / y,y) != z | K(y \ x,y) = z. [para(5095(a,1),5116(a,1))]. 5336 K(x,y / x) != z | K(x,x \ y) = z. [para(5097(a,1),5116(a,1))]. 5337 a(x,y * K(z,y),(y * K(z,y)) \ 1) = x \ R(x,y * K(z,y),y \ K(y,z)). [para(5113(a,1),688(a,1,2,3)),flip(a)]. 5338 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(5113(a,1),3317(a,2,2,2))]. 5339 T(1 / ((x * y) \ x),y) = 1 / ((x * y) \ x). [hyper(74,a,541,a(flip),b,5156,a),flip(a)]. 5340 K(x,y) \ (T(y,x) \ z) = y \ z. [hyper(72,a,5174,a(flip),b,5260,a(flip))]. 5341 x * (K(y,z) * (T(y,z) \ u)) != w | x * (y \ u) = w. [para(5174(a,1),307(a,1,2,2))]. 5342 K(R(x,x \ y,z),u) \ ((x \ y) * z) = T(R(x,x \ y,z),u) \ (y * z). [para(463(a,1),5174(a,1,2))]. 5344 x * (K(x,y) * z) != u | T(x,y) * z = u. [para(5175(a,1),216(a,1,2)),flip(b)]. 5345 x \ y != K(x,z) * u | T(x,z) \ y = u. [para(5178(a,1),19(a,1))]. 5346 K(x,x \ y) * (((x \ y) \ y) \ z) = x \ z. [para(120(a,1),5178(a,1,2,1))]. 5348 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) = K(w,R(x,y,z)). [para(42(a,2),5187(a,1,2,1))]. 5349 (L(x,y,z) \ u) / (L(T(x,w),y,z) \ u) = K(L(x,y,z),w). [para(40(a,2),5189(a,1,2,1))]. 5352 ((x \ y) \ y) \ (x * z) = K(x \ y,x) * z. [hyper(236,a,637,a(flip),b,5203,a(flip)),flip(a)]. 5354 (x * y) / (K(z,x) * y) = T(x,z). [para(5203(a,1),62(a,1,2))]. 5355 T(x,y) * (K(y,x) * z) != u | x * z = u. [para(5203(a,1),216(a,1,2)),flip(b)]. 5356 (x * y) / (K(z,x) * y) != u | T(x,z) = u. [para(5203(a,1),294(a,1,2)),flip(b)]. 5357 x / (K(y,x / z) * z) = T(x / z,y). [para(5203(a,1),279(a,1,2))]. 5358 T(x,y) \ (z * (x / z)) = K(y,x) * K(z,x / z). [para(250(a,1),5203(a,1,2))]. 5361 K(x,y) * z != u | y * (T(y,x) \ z) = u. [para(5203(a,1),1020(a,1))]. 5362 K(x,T(y,z)) * K(z,y) = T(T(y,z),x) \ y. [para(4836(a,1),5203(a,1,2)),flip(a)]. 5363 K(x,y) * (y * z) = y * (K(x,y) * z). [para(5203(a,1),4859(a,1,2)),flip(a)]. 5365 ((x \ y) \ y) \ z = K(x \ y,x) * (x \ z). [hyper(236,a,637,a(flip),b,5204,a),flip(a)]. 5366 K(x,y) * ((y \ z) * u) != (T(y,x) \ z) * w | L(u,y \ z,K(x,y)) = w. [para(5204(a,1),436(a,1,1)),flip(a)]. 5367 x * (K(y,x) * (x \ z)) = K(y,x) * z. [para(5204(a,2),4859(a,1,2))]. 5368 K(x,y) * (x / y) = x / T(y,x). [hyper(4322,a,5207,a),flip(a)]. 5369 K(x,y / z) * (z * T(z \ y,x)) = y. [hyper(1036,a,5207,a)]. 5370 T(x,y) \ (x * z) != u | K(y,x) * z = u. [para(5207(a,1),283(a,1,2)),flip(b)]. 5371 K(x,1 / (y \ x)) = K(x,y / x). [para(62(a,1),5224(a,1,2,1)),flip(a)]. 5372 (x / y) * K(x,1 / y) = x * ((x / y) / x). [para(5224(a,1),250(a,1,2))]. 5373 K(T(K(x,x \ 1) * y,z),x) = K(T(y,z),x). [para(4638(a,1),5237(a,1,1)),flip(a)]. 5374 K(x,y) * (z * L(T(K(y,x),z),u,w)) = (K(x,y) * L(K(x,y) \ 1,u,w)) * z. [para(5259(a,1),1701(a,1,2,2,1))]. 5375 K(x,y) * (z * R(T(K(y,x),z),u,w)) = (K(x,y) * R(K(x,y) \ 1,u,w)) * z. [para(5259(a,1),1961(a,1,2,2,1))]. 5376 (x \ 1) / (x \ K(x,y)) != z | K(y,x) = z. [para(5263(a,1),296(a,1,1)),flip(b)]. 5380 K(x,y) / ((x \ 1) \ 1) = x \ K(x,y). [para(5311(a,1),197(a,1,2))]. 5381 (x \ K(x,y)) * T((x \ 1) \ 1,z) = T(x,z) * (x \ K(x,y)). [para(5311(a,1),180(a,1,2,1))]. 5382 (K(x,y) / x) \ 1 = x * K(y,x). [para(5334(a,1),65(a,1,1))]. 5383 T(T(x,y),K(y,x) * z) != u | (K(y,x) * z) \ (x * z) = u. [para(5354(a,1),280(a,1,1))]. 5384 R(T(x,y),K(y,x) * z,(K(y,x) * z) \ K(y,x)) = ((x * z) * L(z \ 1,z,K(y,x))) / K(y,x). [para(5354(a,1),733(a,1,1))]. 5385 (x / T(y,x)) * L(z,x / y,K(x,y)) = K(x,y) * ((x / y) * z). [para(5368(a,1),103(a,1,1))]. 5386 R(K(x,y),x / y,z) \ ((x / T(y,x)) * z) = (x / y) * z. [para(5368(a,1),143(a,1,2,1))]. 5391 L(x,y,z) \ K(x,L(x,u,w) \ 1) = 1 / L(x,y,z). [para(4965(a,2),4561(a,1,2))]. 5392 T(K(x,y),z) * K(y,x) != u | K(K(x,y),z) = u. [para(4906(a,1),5107(a,1)),flip(b)]. 5393 K(x \ 1,y) != z | K(1 / x,y) = z. [para(65(a,1),5144(a,1,1,1))]. 5394 K(L(x \ 1,y,z),u) != w | K(L(1 / x,y,z),u) = w. [para(2700(a,1),5144(a,1,1))]. 5395 T(x,x * y) * K(y,x) = L(x,y,x). [hyper(3148,a,5181,a)]. 5396 T(x,y) * K(x * y,x) = R(x,y,x). [hyper(3148,a,5182,a)]. 5397 K(x,y) != z | K(x,(y \ 1) \ 1) = z. [para(62(a,1),5228(a,1,2))]. 5400 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) != w | R(y,z,u) = w. [para(3716(a,2),5271(a,1,2)),flip(b)]. 5401 K(x,x \ y) * (x \ y) != z | y / x = z. [para(5020(a,1),5271(a,1,2)),flip(b)]. 5407 K(x,y) * K(x * y,x) = x \ R(x,y,x). [hyper(72,a,5396,a(flip),b,4856,a),flip(a)]. 5408 K(x \ (x * y),x) = (y * x) * ((x * y) \ 1). [para(13(a,1),4803(a,1,1,1)),flip(a)]. 5409 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(4825(a,1),2662(a,2,1,2,1))]. 5410 K(x \ 1,x) * K(y,x) = (T(x,y) \ 1) * x. [para(4835(a,2),2789(a,1,2))]. 5411 K((1 / x) \ y,y) = K(y * x,y). [hyper(236,a,4821,a,b,4843,a)]. 5412 K((1 / x) \ y,y) != z | K(y * x,y) = z. [para(4843(a,2),4920(a,1))]. 5413 K(x * (y \ 1),x) = K(y \ x,x). [para(62(a,1),5411(a,1,1,1)),flip(a)]. 5414 K(((x * y) / x) \ z,z) = K(z * (y \ K(y,x)),z). [para(4984(a,1),5413(a,1,1,2)),flip(a)]. 5415 K(x,y) * (((y * x) / y) * z) = x * z. [para(13(a,1),4852(a,1,2)),flip(a)]. 5416 (x \ y) * ((y / x) \ z) = K(x \ y,x) * z. [para(14(a,1),4852(a,1,2,1,1))]. 5418 x * T(x \ y,z) != y * u | T(K(y / x,z),y) = u. [para(4858(a,1),169(a,2)),flip(a)]. 5419 x / (y * T(y \ x,z)) = K(z,x / y). [para(4858(a,1),5266(a,1,2))]. 5420 x / (y * T(y \ x,z)) != u | K(z,x / y) = u. [para(4858(a,1),5272(a,1,2))]. 5421 K(x,y) / (1 / T(y,x)) = 1 / (1 / y). [para(4866(a,1),62(a,1,2))]. 5422 K(x * K(y,y \ 1),z) = K(x,z). [hyper(236,a,4826,a,b,4868,a)]. 5423 K(x * K(y,y \ 1),z) != u | K(x,z) = u. [para(4868(a,2),4928(a,1))]. 5424 K(x * K(y \ 1,y),z) = K(x,z). [para(1772(a,1),5422(a,1,1,2))]. 5425 K(K(x,x \ 1) * y,z) = K(y,z). [para(2500(a,2),5422(a,1,1))]. 5426 K(x * (1 / (1 / y)),z) = K(x * y,z). [para(2749(a,1),5422(a,1,1)),flip(a)]. 5427 K(K(x \ 1,x) * y,z) = K(y,z). [para(2838(a,1),5422(a,1,1)),flip(a)]. 5428 K(x * (1 / y),z) = K(x * (y \ 1),z). [para(2837(a,1),5422(a,1,1))]. 5429 K(x / (1 / y),z) = K(x / (y \ 1),z). [para(2851(a,1),5422(a,1,1)),flip(a)]. 5430 K((1 / x) \ y,z) = K((x \ 1) \ y,z). [para(2948(a,1),5422(a,1,1)),flip(a)]. 5431 K((1 / x) * y,z) = K((x \ 1) * y,z). [para(2956(a,1),5422(a,1,1))]. 5432 K(((x \ 1) \ 1) \ y,z) = K(x \ y,z). [para(2986(a,1),5422(a,1,1)),flip(a)]. 5433 K(x \ (y * K(z,z \ 1)),u) = K(x \ y,u). [para(4493(a,2),5422(a,1,1))]. 5434 K(x \ (K(y,y \ 1) * z),u) = K(x \ z,u). [para(4494(a,2),5422(a,1,1))]. 5435 K(x \ (1 / y),z) = K(x \ (y \ 1),z). [para(4594(a,1),5424(a,1,1)),flip(a)]. 5436 K((K(x,x \ 1) * y) \ z,u) = K(y \ z,u). [para(4605(a,2),5424(a,1,1))]. 5439 K(x * (y / (1 / z)),u) = K(x * (y / (z \ 1)),u). [para(4584(a,1),5425(a,1,1)),flip(a)]. 5441 K(x,(y \ 1) \ 1) != z | K(x,y) = z. [para(5427(a,1),3387(a,1))]. 5442 K((x * (1 / y)) \ z,u) = K((x * (y \ 1)) \ z,u). [para(4604(a,1),5427(a,1,1))]. 5443 K(x,y \ 1) != z | K(x,1 / y) = z. [para(65(a,1),5441(a,1,2,1))]. 5444 K(x,T(y,y \ 1)) != z | K(x,y) = z. [para(120(a,2),5441(a,1,2))]. 5445 K(x,T(y / z,z / y)) != u | K(x,y / z) = u. [para(2145(a,2),5441(a,1,2))]. 5446 K(x,T(y \ z,z \ y)) != u | K(x,y \ z) = u. [para(2278(a,2),5441(a,1,2))]. 5447 K(x,T(y \ 1,z)) != u | K(x,T(1 / y,z)) = u. [para(2483(a,1),5441(a,1,2))]. 5450 K(x,T(y,L(y,z,u) \ 1)) != w | K(x,y) = w. [para(4695(a,2),5444(a,1,2))]. 5451 x * (y * ((z * (y \ (x \ 1))) / z)) = K(z,(x * y) \ 1). [hyper(2234,a,4876,a)]. 5453 (x * ((y * (x \ z)) / y)) / z = K(y,(x / z) \ 1). [hyper(236,a,2333,a(flip),b,4876,a(flip)),flip(a)]. 5454 (x * y) * ((z * ((x * y) \ x)) / z) = x * K(z,y \ 1). [para(4876(a,1),1122(a,2,2))]. 5456 x * K(y,(x \ z) \ 1) = z * ((y * (z \ x)) / y). [para(4876(a,1),1638(a,1,2))]. 5457 K(x,y \ 1) * (y \ z) = z * ((x * (z \ (y \ z))) / x). [para(4876(a,1),2039(a,1,1))]. 5458 (x * y) * ((z * ((x * y) \ y)) / z) = K(z,x \ 1) * y. [para(4876(a,1),2175(a,2,1))]. 5459 x * (y * ((z * (y \ (x \ y))) / z)) = K(z,x \ 1) * y. [para(4876(a,1),2178(a,2,1))]. 5460 ((x * y) * ((z * ((x * y) \ x)) / z)) * y = (x * y) * K(z,y \ 1). [para(4876(a,1),2173(a,2,2))]. 5461 K(x,R(y,z,u) \ 1) * (z * u) = ((y * z) * ((x * ((y * z) \ z)) / x)) * u. [para(4876(a,1),2652(a,1,1))]. 5463 ((1 / x) * y) * T(((1 / x) * y) \ y,z) = K(x,z) * y. [para(4878(a,2),1347(a,2,1))]. 5465 K(x,x * (y \ 1)) != z | K(x,y \ x) = z. [para(4895(a,2),4956(a,1))]. 5466 K(x,y * K(z,z \ 1)) = K(x,y). [hyper(236,a,4829,a,b,4913,a)]. 5467 K(x,y * K(z,1 / z)) = K(x,y). [para(1767(a,2),5466(a,1,2,2))]. 5468 K(x,K(y,y \ 1) * z) = K(x,z). [para(2500(a,2),5466(a,1,2))]. 5469 K(x,y * ((z \ 1) \ 1)) = K(x,y * z). [para(2822(a,1),5466(a,1,2))]. 5470 K(x,y * T(z,z \ 1)) = K(x,y * z). [para(2823(a,1),5466(a,1,2))]. 5471 K(x,K(y \ 1,y) * z) = K(x,z). [para(2838(a,1),5466(a,1,2)),flip(a)]. 5472 K(x,y * (1 / z)) = K(x,y * (z \ 1)). [para(2837(a,1),5466(a,1,2))]. 5473 K(x,y / (1 / z)) = K(x,y / (z \ 1)). [para(2851(a,1),5466(a,1,2)),flip(a)]. 5474 K(x,(y \ 1) * (y * z)) = K(x,L(z,y,y \ 1)). [para(2849(a,1),5466(a,1,2)),flip(a)]. 5475 K(x,T(y,y \ 1) * z) = K(x,y * z). [para(2906(a,1),5466(a,1,2))]. 5476 K(x,(1 / y) \ z) = K(x,(y \ 1) \ z). [para(2948(a,1),5466(a,1,2)),flip(a)]. 5477 K(x,(1 / y) * z) = K(x,(y \ 1) * z). [para(2956(a,1),5466(a,1,2))]. 5478 K(x,((y \ 1) \ 1) \ z) = K(x,y \ z). [para(2986(a,1),5466(a,1,2)),flip(a)]. 5479 K(x,y \ (K(z,z \ 1) * u)) = K(x,y \ u). [para(4494(a,2),5466(a,1,2))]. 5481 K(x,K(y,1 / y) * z) = K(x,z). [para(2512(a,2),5467(a,1,2))]. 5482 K(x,y * (z * K(u,1 / u))) = K(x,y * z). [para(4486(a,1),5467(a,1,2))]. 5483 K(x,y * (K(z,z \ 1) * u)) = K(x,y * u). [para(4586(a,1),5468(a,1,2))]. 5484 K(x,T(y * K(z,z \ 1),u)) = K(x,T(y,u)). [para(4677(a,2),5468(a,1,2))]. 5485 K(x,y * (z * (1 / u))) = K(x,y * (z * (u \ 1))). [para(4585(a,1),5468(a,1,2))]. 5486 K(x,y * ((1 / z) \ u)) = K(x,y * ((z \ 1) \ u)). [para(4587(a,1),5468(a,1,2)),flip(a)]. 5487 K(x,(y / (1 / z)) * u) = K(x,(y / (z \ 1)) * u). [para(3653(a,1),5471(a,1,2))]. 5488 K(x,(K(y,y \ 1) * z) \ u) = K(x,z \ u). [para(4603(a,2),5471(a,1,2))]. 5489 K(x,(y * (1 / z)) \ u) = K(x,(y * (z \ 1)) \ u). [para(4604(a,1),5471(a,1,2))]. 5490 K(x,R(1 / y,z,u) \ w) = K(x,R(y \ 1,z,u) \ w). [para(4606(a,1),5471(a,1,2))]. 5491 K(x,y / (K(z,z \ 1) * u)) = K(x,y / u). [para(4722(a,2),5471(a,1,2))]. 5492 K(x,K(y,1 / y) / z) = K(x,1 / z). [para(3600(a,1),5481(a,1,2))]. 5493 T(x,y) * K(z,T(x,y)) = T(x * K(z,x),y). [hyper(18,a,4900,a,b,4936,a),flip(a)]. 5494 T(x * K(x * y,x),y) = R(x,y,x). [hyper(18,a,4129,a,b,4936,a)]. 5495 T(x * K(y * R(x,z,u),x),y) = R(x,y,R(x,z,u)). [hyper(18,a,1931,a,b,4936,a)]. 5497 T(T(x * K(x * y,x),z),y) = T(R(x,y,x),z). [para(5494(a,1),38(a,1,1)),flip(a)]. 5498 T(x * K(y \ x,x),y \ 1) = R(x,y \ 1,x). [para(5413(a,1),5494(a,1,1,2))]. 5500 K(x,(1 / x) * (y * x)) = K(x,L(y,x,x \ 1)). [para(2924(a,1),5005(a,1,2))]. 5501 K(x / y,x / (x / y)) = K(y \ x,y). [hyper(236,a,4997,a(flip),b,5007,a)]. 5503 x \ T(x * y,y) = y * K(y * x,y). [hyper(18,a,4634,a,b,5042,a),flip(a)]. 5504 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(5055(a,1),738(a,1,1))]. 5505 L(x,y,z) \ K(x,L(x,y,z) \ 1) = (L(x,y,z) \ x) / x. [hyper(74,a,1211,a(flip),b,5071,a),flip(a)]. 5506 ((x \ 1) \ K(y,x)) * y = y * ((x \ 1) \ 1). [para(5233(a,1),5071(a,1,1,2))]. 5507 K(x \ y,x) * ((x \ y) \ z) = (y / x) \ z. [para(14(a,1),5179(a,1,1,1)),flip(a)]. 5508 (x / (x / y)) \ z = K(y,x / y) * (y \ z). [para(16(a,1),5179(a,1,1,1))]. 5509 (x / (x / y)) \ z = K(y,y \ x) * (y \ z). [para(4206(a,1),5179(a,1,1))]. 5510 (x * K(y,x)) \ z = K(x,y) * (x \ z). [para(4854(a,1),5179(a,1,1))]. 5511 K(x \ y,x) * ((y / x) \ z) = ((x * (y / x)) / x) \ z. [para(4997(a,1),5179(a,2,1)),flip(a)]. 5512 x * (K(x,y) * T(z,x)) = K(x,y) * (z * x). [hyper(236,a,4856,a,b,5180,a),flip(a)]. 5513 K(x,y) * ((x \ y) * x) = (x \ y) * T(x,y). [hyper(236,a,3923,a(flip),b,5180,a)]. 5514 (K(x,y) * ((T(x,y) \ z) * x)) / T(x,y) != u | T(z / T(x,y),x) = u. [para(5180(a,2),410(a,1,1))]. 5516 x \ (K(x,y) * z) != u | K(x,y) * (x \ z) = u. [para(5192(a,1),283(a,1,2)),flip(b)]. 5519 (x / y) \ ((y \ x) * z) = K(y \ x,y) * z. [para(14(a,1),5193(a,1,1,1))]. 5520 (x / (x / y)) \ (y * z) = K(y,y \ x) * z. [para(4206(a,1),5193(a,1,1))]. 5521 K(x,y) * T(x,z) = K(x,z) * T(x,y). [hyper(236,a,3255,a(flip),b,5201,a)]. 5522 K(x,y) * T(x,z) != u | K(x,z) * T(x,y) = u. [para(5201(a,2),3268(a,1))]. 5523 K(x,y) * (y * z) = ((x * y) / x) * z. [para(13(a,1),5202(a,1,2)),flip(a)]. 5524 (x / y) * ((y \ x) \ z) = K(y,y \ x) * z. [para(14(a,1),5202(a,1,1,1))]. 5525 ((x * y) / x) * z = y * (K(x,y) * z). [para(5202(a,1),1266(a,1,2)),flip(a)]. 5526 (x / (x / y)) * (y \ z) = K(y \ x,y) * z. [para(4206(a,1),5202(a,1,1))]. 5527 K(x \ ((1 / x) \ y),x) = K(x \ ((x \ 1) \ y),x). [para(2990(a,1),5236(a,1,1))]. 5528 K(x,T(y \ 1,L(y,z,u))) = K(x,y \ 1). [para(4771(a,1),5240(a,1,2)),flip(a)]. 5529 T(x,K(y,z)) != K(z,y) * u | x * K(y,z) = u. [para(5269(a,1),19(a,1))]. 5530 T(x,y / x) / (y \ x) = x * (y / x). [para(4119(a,2),5303(a,1,1))]. 5531 K((x / y) \ z,T(z,y / x)) = K((x / y) \ z,z). [para(4187(a,1),5309(a,1,2))]. 5532 x * ((y * (x / y)) \ y) = x / (x / y). [para(5319(a,2),14(a,1,2))]. 5533 R(K(x,y),y * z,u) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(5363(a,1),113(a,2,1))]. 5534 R(x,y,z) * (K(u,R(x,y,z)) * (y * z)) = K(u,R(x,y,z)) * ((x * y) * z). [para(113(a,1),5363(a,1,2)),flip(a)]. 5535 x * (K(y,x) * (x \ z)) != u | K(y,x) * z = u. [para(5363(a,1),307(a,1))]. 5536 (K(x,y) * z) \ (y * (K(x,y) * z)) = L(T(y,z),z,K(x,y)). [para(5363(a,1),178(a,1,2))]. 5537 (x * (K(y,x) * z)) \ (K(y,x) * (x * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(5363(a,1),440(a,1,1))]. 5540 K(x,(y \ z) / (y \ 1)) * (y \ T(z,x)) = y \ z. [para(928(a,1),5369(a,1,2))]. 5541 K(x,(y * z) / (y * (u \ z))) * ((y * (u \ z)) * T(L(T(u,u \ z),u \ z,y),x)) = y * z. [para(269(a,2),5369(a,1,2,2,1))]. 5542 K(x / y,z) * x != u | y * T(y \ x,z) = u. [para(5369(a,1),5271(a,1,2)),flip(b)]. 5543 (x \ K(x,y)) * T(x,x \ 1) = K(x,y). [para(5380(a,1),646(a,1,1))]. 5544 K(x,y) * K(x \ 1,x) = (x \ K(x,y)) * x. [para(5380(a,1),2788(a,1,1)),flip(a)]. 5546 K(x \ y,x) * ((y / x) * z) = (x \ y) * z. [para(14(a,1),5415(a,1,2,1,1))]. 5548 (x * (y * z)) / ((x * z) * T(L(T(y,z),z,x),u)) = K(u,(x * (y * z)) / (x * z)). [para(178(a,1),5419(a,1,2,2,1))]. 5549 x / (y * (z * T(z \ (y \ x),u))) = K(u,x / (y * z)). [para(857(a,1),5419(a,1,2))]. 5550 x / (((y \ (x * z)) * y) / z) = K(y,x / (y / z)). [para(1403(a,1),5419(a,1,2))]. 5551 K(x,y) / (K(x,y) / y) = 1 / (1 / y). [para(4832(a,2),5421(a,1,2))]. 5552 K(x * R(1 / y,z,u),w) = K(x * R(y \ 1,z,u),w). [para(3510(a,1),5426(a,1,1,2))]. 5553 K((x \ 1) \ y,y) = K(y * x,y). [hyper(236,a,5411,a(flip),b,5430,a(flip))]. 5554 K(((x * K(y,x)) \ 1) * z,u) = K((K(x,y) / x) * z,u). [para(5334(a,1),5431(a,1,1,1)),flip(a)]. 5557 K(((x \ 1) \ 1) \ y,(z \ 1) \ 1) != u | K(x \ y,z) = u. [para(5432(a,2),5441(a,1))]. 5558 K(x / y,(x / y) \ x) = K(y \ x,y). [hyper(5336,a,5501,a)]. 5559 K(x * y,y) = K(y * x,y). [hyper(17,a,5025,a(flip),b,5503,a(flip)),flip(a)]. 5560 K((x \ 1) \ y,y) = K(x * y,y). [hyper(236,a,5553,a,b,5559,a),flip(a)]. 5561 K(x * (y / x),x) = K(y,x). [para(16(a,1),5559(a,1,1)),flip(a)]. 5562 K((1 / x) * y,y) = K(x \ y,y). [para(65(a,1),5560(a,1,1,1)),flip(a)]. 5563 ((x \ 1) \ y) * K(x * y,y) = T((x \ 1) \ y,y). [para(5560(a,1),4887(a,2,2)),flip(a)]. 5564 (x * K(y,x)) \ z = x \ (K(x,y) * z). [hyper(236,a,5195,a,b,5510,a)]. 5565 ((1 / x) * K(y,1 / x)) \ z = K(x \ 1,y) * ((1 / x) \ z). [para(3244(a,1),5510(a,2,1))]. 5566 K(x,y) * (K(y,z) * T(y,x)) = T(y,z). [hyper(5285,a,5521,a)]. 5567 K(x,y) * T(x,z) != K(x,z) * u | T(x,y) = u. [para(5521(a,1),19(a,1))]. 5568 K(x,x \ y) * ((x \ y) * z) = (y / x) * z. [para(14(a,1),5523(a,2,1,1))]. 5570 (x * K(y,x)) * z = K(y,x) * (x * z). [para(4854(a,1),5523(a,2,1)),flip(a)]. 5571 (x \ y) * (K(x,x \ y) * z) = (y / x) * z. [para(14(a,1),5525(a,1,1,1)),flip(a)]. 5572 (x * (K(y * z,x) * y)) * z = (y * z) * R(x,y,z). [para(5525(a,1),812(a,1,1))]. 5573 (x / (x / y)) * z = y * (K(y \ x,y) * z). [para(4206(a,1),5525(a,1,1))]. 5574 (x * K(y,x)) * z = x * (K(y,x) * z). [para(4854(a,1),5525(a,1,1))]. 5575 ((x * y) / x) * (x * z) = y * (T(x,y) * z). [para(4906(a,1),5525(a,2,2))]. 5576 ((x * y) / x) * (x / y) = y * (x / T(y,x)). [para(5368(a,1),5525(a,2,2))]. 5580 (x * K(y,x)) \ y = x \ (y * K(x,y)). [para(3138(a,1),5564(a,2,2))]. 5583 L(x,y,K(z,y)) = x. [hyper(17,a,3155,a,b,5570,a),flip(a)]. 5584 (x * K(y,x)) * K(x,z) = K(y,x) * T(x,z). [para(4887(a,2),5570(a,2,2))]. 5585 L(x,T(y,z),K(z,y)) = x. [para(3950(a,1),5583(a,1,3))]. 5586 R(x,K(y,x),z) = x. [hyper(4699,a,5574,a)]. 5587 L(x,K(y,z),z) = x. [hyper(436,a,5574,a)]. 5588 (x * (K(y,x) * z)) \ ((x * K(y,x)) * (z * u)) = L(u,z,x * K(y,x)). [para(5574(a,1),28(a,2,1)),flip(a)]. 5589 (T(x,y) * K(z,x)) * u = T(x,y) * (K(z,x) * u). [para(5586(a,1),470(a,1,1,1)),flip(a)]. 5590 (R(x,y,z) * K(u,x)) * w = R(x,y,z) * (K(u,x) * w). [para(5586(a,1),472(a,1,1,1)),flip(a)]. 5592 L(x,K(y,z),z) = L(x,u,K(w,u)). [hyper(236,a,5583,a,b,5587,a)]. 5593 (x * K(y,x)) * z != u | x * (K(y,x) * z) = u. [para(5587(a,1),219(a,1,2))]. 5595 L(x,y,K(z,y)) != u | u = x. [para(5592(a,1),323(a,1))]. 5596 L(x,K(y,z),z) != u | u = x. [para(5592(a,2),326(a,1))]. 5604 L(x \ 1,T(x,y),y) = L(x \ 1,x,y). [hyper(236,a,3749,a(flip),b,5027,a(flip)),flip(a)]. 5605 T(x * L(x \ 1,x,y),y) = T(x,y) * ((x * y) \ y). [para(5604(a,1),1702(a,1,1,2))]. 5607 x * (y * T(y \ (x \ 1),z)) != u | K((x * y) \ 1,z) = u. [para(857(a,1),5129(a,1))]. 5609 L(x * T(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(2381(a,1),5129(a,1))]. 5610 x \ (y * T(x,z)) != u | K(x,z) * T(y,T(x,z)) = u. [para(119(a,1),5185(a,1,2))]. 5611 x \ R(x,y,x) != z | K(x,y) * K(x * y,x) = z. [para(5396(a,1),5185(a,1,2))]. 5613 K(x,y) * T(z,y) != u | T(y,x) \ (z * y) = u. [para(32(a,2),5208(a,1,2))]. 5614 K(x,y / z) * z != u | T(y / z,x) \ y = u. [para(65(a,1),5208(a,1,2))]. 5615 (R(x,y,z) * u) / (R(T(x,w),y,z) * u) != v5 | K(w,R(x,y,z)) = v5. [para(42(a,2),5212(a,1,2,1))]. 5616 x * T(x \ y,z) != u | K(y / x,z) * y = u. [para(4384(a,2),5213(a,1))]. 5618 K(x,y) * z != u | T(x,y) * (x \ z) = u. [para(14(a,1),5216(a,1,2))]. 5619 K(x,y) * (z * x) != u | T(x,y) * T(z,x) = u. [para(119(a,1),5216(a,1,2))]. 5620 ((x * y) / x) \ (y * z) != u | K(y,x) * z = u. [para(4292(a,2),5254(a,1))]. 5621 T(x,y) * K(x,z) != u | K(x,y) * T(x,z) = u. [para(4829(a,2),5254(a,1,2))]. 5622 T(x,y) * (T(x,z) \ u) != w | K(x,y) * (K(z,x) * u) = w. [para(5196(a,1),5254(a,1,2))]. 5623 T(x \ y,z) * ((y \ x) * K(z,x \ y)) != u | (x \ y) * (y \ x) = u. [para(3075(a,1),5355(a,1,2))]. 5624 T(x,y) * z != u | x * (K(x,y) * z) = u. [para(5268(a,1),5355(a,1,2))]. 5626 K(x * y,x) * K(x,y) = x \ R(x,y,x). [hyper(2193,a,5407,a)]. 5627 x \ R(x,y,x) != z | K(x * y,x) * K(x,y) = z. [para(5407(a,1),2193(a,1))]. 5628 K(x,y) * K(y * x,x) = x \ R(x,y,x). [para(5559(a,2),5407(a,1,2))]. 5629 K((x \ 1) \ y,y) != z | K(y * x,y) = z. [para(5430(a,1),5412(a,1))]. 5630 K(x * ((y \ 1) \ 1),z) != u | K(x * y,z) = u. [para(2822(a,1),5423(a,1,1))]. 5631 K(x * (1 / y),z) != u | K(x * (y \ 1),z) = u. [para(2837(a,1),5423(a,1,1))]. 5632 K(x / (y \ 1),z) != u | K(x / (1 / y),z) = u. [para(2851(a,1),5423(a,1,1))]. 5633 K((x \ 1) \ y,z) != u | K((1 / x) \ y,z) = u. [para(2948(a,1),5423(a,1,1))]. 5634 K((1 / x) * y,z) != u | K((x \ 1) * y,z) = u. [para(2956(a,1),5423(a,1,1))]. 5635 K(x \ ((y \ 1) \ 1),z) != u | K(x \ y,z) = u. [para(3836(a,1),5423(a,1,1))]. 5636 K(x,(y \ 1) \ x) = K(x,x * y). [hyper(5465,a,5469,a)]. 5640 x \ R(x,x \ y,x) = K(y,x) * K(x,x \ y). [para(14(a,1),5626(a,1,1,1)),flip(a)]. 5641 K(x \ y,y) * K(y,x \ 1) = y \ R(y,x \ 1,y). [para(5413(a,1),5626(a,1,1))]. 5642 K(x * y,y) != z | K(y * x,y) = z. [para(5560(a,1),5629(a,1))]. 5643 ((x / y) * (y * K(y \ x,y))) * (x / y) = x * (y \ x). [para(4809(a,2),4221(a,1,1))]. 5644 K(x,T(y,z) \ 1) = T(K(x,y \ 1),z). [para(4829(a,2),4882(a,1,1)),flip(a)]. 5647 K(x,T(1 / y,z) \ 1) = T(K(x,y),z). [para(65(a,1),5644(a,2,1,2))]. 5648 x * K(y,T(z,x) \ 1) = K(y,z \ 1) * x. [para(5644(a,2),119(a,1,2))]. 5650 x * T(K(x,y \ 1),z) != u | T(x,T(y,z) \ 1) = u. [para(5644(a,1),4890(a,1,2))]. 5651 K(x,T(y \ 1,z) \ 1) = T(K(x,y),z). [para(5233(a,1),5644(a,2,1))]. 5652 K(x,1 / T(1 / y,z)) = T(K(x,y),z). [hyper(5443,a,5647,a)]. 5653 K(x,1 / T(y,z)) = T(K(x,1 / y),z). [para(2478(a,1),5647(a,1,2))]. 5654 K(x,R(T(K(x,y),z),u,w)) = 1. [para(5647(a,1),3272(a,1,2,1))]. 5656 L(x,y,z) * K(u,L(x,y,z)) = L(x * K(u,x),y,z). [hyper(18,a,4900,a,b,4937,a),flip(a)]. 5657 (x * L(y,z,u)) / x != w | L(y * K(x,y),z,u) = w. [para(4937(a,1),296(a,1,1)),flip(b)]. 5658 R(x,y,z) * K(u,R(x,y,z)) = R(x * K(u,x),y,z). [hyper(18,a,4900,a,b,4938,a),flip(a)]. 5659 T(1 / (K(x,y) / x),y) = 1 / (1 / x). [para(5334(a,1),4941(a,1,1,2))]. 5660 (1 / (K(x,y) / x)) * y = y * (1 / (1 / x)). [para(5659(a,1),119(a,1,2)),flip(a)]. 5661 T(x,y * (1 / z)) != u | T(x,y * (z \ 1)) = u. [para(4950(a,1),4890(a,1))]. 5662 T(x,y) \ T(x,z) = K(x,z) * K(y,x). [hyper(5254,a,5016,a),flip(a)]. 5664 K(x / (x / y),y \ x) * K(z,x / (x / y)) = T(x / (x / y),z) \ y. [para(4202(a,1),5662(a,1,2)),flip(a)]. 5665 K(x,y \ z) * K(z \ y,y \ z) = (T(y \ z,x) \ 1) * (y \ z). [para(2712(a,1),5018(a,1,2))]. 5666 L(x * K(y,x),z,u) / L(x,z,u) = K(y,L(x,z,u)). [hyper(74,a,5038,a,b,4902,a(flip))]. 5667 L(x * K(y,x),z,u) \ L(x,z,u) = K(L(x,z,u),y). [para(5038(a,2),4824(a,2,1)),flip(a)]. 5668 L(x,y,z) / L(x * K(u,x),y,z) = K(L(x,y,z),u). [para(5038(a,2),5019(a,2,2)),flip(a)]. 5669 R(x,y,z) \ R(x * K(u,x),y,z) = K(u,R(x,y,z)). [hyper(72,a,5039,a,b,4854,a(flip))]. 5670 R(x * K(y,x),z,u) \ y = R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u)). [para(5039(a,2),4291(a,1,1))]. 5671 R(x * K(y,x),z,u) \ R(x,z,u) = K(R(x,z,u),y). [para(5039(a,2),4824(a,2,1)),flip(a)]. 5673 (((x * y) / x) \ 1) \ 1 = (y \ 1) \ K(x,y). [hyper(236,a,2578,a(flip),b,5056,a),flip(a)]. 5674 K(x \ 1,x) * (y * K(x,z)) = y * ((x \ 1) * T(x,z)). [para(5063(a,1),4540(a,2,2))]. 5675 K(T(x,y) \ 1,z) = T(K(x \ 1,z),y). [para(4830(a,1),5148(a,1,1)),flip(a)]. 5676 K(T(1 / x,y) \ 1,z) = T(K(x,z),y). [para(4878(a,2),5148(a,1,1)),flip(a)]. 5677 K(T(x \ 1,y) \ 1,z) = T(K(x,z),y). [para(3247(a,1),5675(a,2,1))]. 5678 K(1 / T(x,y),z) = T(K(1 / x,z),y). [para(2478(a,1),5676(a,1,1))]. 5679 K(x,T(y \ 1,z) \ 1) = 1 / T(K(y,x),z). [para(5677(a,1),5102(a,1,2)),flip(a)]. 5680 (x * (y * T(y \ z,u))) / (x * z) = K(((x * y) / (x * z)) \ 1,u). [para(856(a,1),5149(a,1,1))]. 5681 (x * (y * T(y \ (x \ z),u))) / z = K(((x * y) / z) \ 1,u). [para(857(a,1),5149(a,1,1))]. 5682 K(((1 / x) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [para(1605(a,1),5149(a,1,1)),flip(a)]. 5683 x \ (y * (z * T(z \ (y \ x),u))) = K((x \ (y * z)) \ 1,u). [para(857(a,1),5150(a,1,2))]. 5684 x \ (((y \ (x * z)) * y) / z) = K((x \ (y / z)) \ 1,y). [para(1403(a,1),5150(a,1,2))]. 5685 T(x,y) \ T(z * T(z \ x,u),y) = K((T(x,y) \ T(z,y)) \ 1,u). [para(2053(a,1),5150(a,1,2))]. 5686 ((x \ (y / z)) * x) * z = y * K((y \ (x * z)) \ 1,x). [hyper(1453,a,5152,a)]. 5687 x \ T(x * y,z) = y * K((y \ (x \ 1)) \ 1,z). [hyper(941,a,5152,a)]. 5688 x * K((x \ (y * z)) \ 1,u) = y * (z * T(z \ (y \ x),u)). [hyper(871,a,5152,a),flip(a)]. 5689 (x * y) * K(((x * y) \ y) \ 1,z) = T(x,z) * y. [hyper(706,a,5152,a),flip(a)]. 5690 T(K(x / y,z),x) = K((x \ y) \ 1,z). [hyper(168,a,4858,a,b,5152,a(flip))]. 5691 x * T(x \ y,z) != y * u | K((y \ x) \ 1,z) = u. [para(5152(a,2),19(a,1))]. 5692 T(x,y) * T(T(x,y) \ y,z) = y * K((T(y,x) \ x) \ 1,z). [para(4117(a,2),5152(a,2,2,1,1))]. 5693 K(x \ (y \ x),x) = K(y \ 1,x). [hyper(18,a,4804,a,b,5162,a),flip(a)]. 5694 K((x / y) \ 1,x) = K(x \ y,x). [para(65(a,1),5693(a,1,1,2)),flip(a)]. 5695 (x \ (y \ x)) * x = (y \ x) * K(y \ 1,x). [para(5693(a,1),249(a,1,2)),flip(a)]. 5696 K(((1 / x) / (y / x)) \ 1,z) * (y / x) = T(y,z) / x. [hyper(236,a,1605,a(flip),b,5164,a)]. 5697 K(((x \ 1) / (x \ y)) \ 1,z) * (x \ y) = x \ T(y,z). [hyper(236,a,928,a(flip),b,5164,a)]. 5699 K((x / y) \ 1,z) = K(y / x,z). [hyper(18,a,4858,a,b,5164,a)]. 5700 K((x / (x * y)) \ 1,z) * (x * y) = x * T(y,z). [para(13(a,1),5164(a,2,2,1))]. 5701 x / (y * T(y \ x,z)) = K(z,(y / x) \ 1). [para(5164(a,1),5266(a,1,2))]. 5702 K(1 / (x / y),z) = K(y / x,z). [hyper(5393,a,5699,a)]. 5704 K(x / (y * x),z) = K(y \ 1,z). [para(15(a,1),5699(a,1,1,1)),flip(a)]. 5706 K((x \ y) / y,z) = K(x \ 1,z). [para(62(a,1),5699(a,1,1,1)),flip(a)]. 5707 K(x / y,z) != u | K((y / x) \ 1,z) = u. [para(5702(a,1),3294(a,1))]. 5708 ((x * y) \ y) * (x * y) = y * K(x \ 1,x * y). [para(5704(a,1),5081(a,1,2)),flip(a)]. 5709 K(x / (y * x),z) != u | K(1 / y,z) = u. [para(5704(a,2),5393(a,1))]. 5711 R(K(x / y,z),x / y,u) != w | K((y / x) \ 1,z) = w. [para(3968(a,2),5707(a,1))]. 5712 K(x,y) * K(y,y * x) = y \ L(y,x,y). [hyper(72,a,5395,a(flip),b,5186,a),flip(a)]. 5714 (x \ y) * T((x \ y) \ y,z) != y * u | T(K(x,z),y) = u. [para(5190(a,2),169(a,2)),flip(a)]. 5715 K(1 / ((1 / x) / y),z) = (T(y * x,z) / x) / y. [para(1590(a,1),5219(a,1,1)),flip(a)]. 5716 T(K(x,y \ 1) / y,x) = 1 / y. [para(5235(a,1),4853(a,1,1))]. 5717 (1 / x) * K(y,x \ 1) = K(y,x \ 1) / x. [para(5223(a,1),5235(a,1,2))]. 5718 K(1 / x,y) / (1 / x) = 1 / (K(y,x \ 1) / x). [para(5235(a,1),5334(a,1,2)),flip(a)]. 5719 T(K(x * (1 / y),y \ 1) / y,x) = R(1 / y,x,1 / y). [para(5235(a,1),5037(a,1,1))]. 5720 (x \ T(y,x \ 1)) / (x \ y) = K(y,x \ 1). [hyper(74,a,3773,a,b,5327,a)]. 5721 T(T(1 / ((x * y) \ x),z),y) = T(1 / ((x * y) \ x),z). [para(5339(a,1),38(a,1,1)),flip(a)]. 5722 K(x \ y,x) * (x \ z) != u | ((x \ y) \ y) \ z = u. [para(5346(a,1),5271(a,1,2)),flip(b)]. 5724 T(x,(x / y) / x) / ((x / y) \ x) = (x / y) * K(x,1 / y). [hyper(236,a,5530,a,b,5372,a),flip(a)]. 5726 K(T((1 / x) * y,z),x) = K(T((x \ 1) * y,z),x). [para(2955(a,1),5373(a,1,1,1))]. 5728 K(x,y) = (x * y) * ((y * x) \ 1). [hyper(236,a,660,a(flip),b,5408,a(flip)),flip(a)]. 5730 ((x \ y) * x) \ 1 = y \ K(x,x \ y). [hyper(72,a,5728,a,b,90,a(flip)),flip(a)]. 5732 (x \ 1) * (x * K(y,x)) = (T(x,y) \ 1) * x. [hyper(236,a,3171,a(flip),b,5410,a(flip)),flip(a)]. 5735 K(x \ (y * ((z \ 1) \ 1)),u) = K(x \ (y * z),u). [para(2822(a,1),5433(a,1,1,2))]. 5736 K(x \ (y * (1 / z)),u) = K(x \ (y * (z \ 1)),u). [para(2837(a,1),5433(a,1,1,2))]. 5738 K(x \ (y * (((y \ z) \ 1) \ 1)),u) = K(x \ z,u). [para(4012(a,1),5433(a,1,1,2))]. 5739 K(x \ R(1 / y,z,u),w) = K(x \ R(y \ 1,z,u),w). [para(3719(a,1),5434(a,1,1,2))]. 5740 K(((1 / x) * y) \ z,u) = K(((x \ 1) * y) \ z,u). [para(2955(a,1),5436(a,1,1,1))]. 5741 K((((x \ 1) \ 1) \ y) \ z,u) = K((x \ y) \ z,u). [para(3000(a,1),5436(a,1,1,1)),flip(a)]. 5742 K((x \ (y / ((z \ 1) \ 1))) \ u,w) = K((x \ (y / z)) \ u,w). [para(4579(a,1),5436(a,1,1,1)),flip(a)]. 5743 K((x * (y * (1 / z))) \ u,w) = K((x * (y * (z \ 1))) \ u,w). [para(4585(a,1),5436(a,1,1,1))]. 5744 K((((1 / x) \ y) \ z) \ u,w) = K((((x \ 1) \ y) \ z) \ u,w). [para(4689(a,1),5436(a,1,1,1))]. 5745 K(x,y \ ((1 / z) * u)) = K(x,y \ ((z \ 1) * u)). [para(2955(a,1),5479(a,1,2,2))]. 5746 K(x,y \ (((z \ 1) \ 1) \ u)) = K(x,y \ (z \ u)). [para(3000(a,1),5479(a,1,2,2)),flip(a)]. 5747 K(x,y * (K(z,1 / z) * u)) = K(x,y * u). [para(2512(a,2),5482(a,1,2,2))]. 5748 K(x,y * ((1 / z) * u)) = K(x,y * ((z \ 1) * u)). [para(2955(a,1),5483(a,1,2,2))]. 5749 K(x,y * (((1 / z) \ u) \ w)) = K(x,y * (((z \ 1) \ u) \ w)). [para(4689(a,1),5483(a,1,2,2))]. 5750 K(x,T((1 / y) * z,u)) = K(x,T((y \ 1) * z,u)). [para(2956(a,1),5484(a,1,2,1))]. 5751 K(x,(((1 / y) \ z) \ u) \ w) = K(x,(((y \ 1) \ z) \ u) \ w). [para(4689(a,1),5488(a,1,2,1))]. 5752 K(x,y / (z / (1 / u))) = K(x,y / (z / (u \ 1))). [para(2861(a,1),5491(a,1,2,2)),flip(a)]. 5753 K(x,y / (z * (1 / u))) = K(x,y / (z * (u \ 1))). [para(2862(a,1),5491(a,1,2,2))]. 5754 T(x,y) \ T(x * K(z,x),y) = K(z,T(x,y)). [hyper(80,a,5493,a)]. 5755 T(x,y) \ T(x * K(z,x),y) != u | K(z,T(x,y)) = u. [para(5493(a,1),283(a,1,2)),flip(b)]. 5756 T(x * K(y,x),z) \ T(x,z) = K(T(x,z),y). [para(5493(a,1),5053(a,1,1))]. 5757 K(x,x \ y) * ((y / x) \ z) = (x \ y) \ z. [hyper(5285,a,5507,a)]. 5759 K(x \ y,x) * T(z,x \ y) = (y / x) \ (z * (x \ y)). [hyper(236,a,116,a(flip),b,5507,a(flip)),flip(a)]. 5760 K(x,1 / x) * ((x \ y) * z) = ((1 / (1 / x)) \ y) * z. [para(5508(a,2),3599(a,1,1)),flip(a)]. 5763 (x * T(y,z)) / (K(y,z) * ((y \ z) * y)) = R(x / (y \ z),y \ z,T(y,z)). [para(5513(a,2),114(a,2,2)),flip(a)]. 5765 (x / y) \ ((x / (x / y)) \ (y * z)) = (y \ x) \ z. [hyper(72,a,5520,a,b,5524,a)]. 5766 (x \ K(x,y)) * x = (x \ 1) * T(x,y). [hyper(236,a,5063,a(flip),b,5544,a(flip))]. 5767 K(x \ R(x,y,z),x) = (u \ 1) * T(u,R(u \ 1,w,v5)). [hyper(236,a,3702,a,b,5766,a(flip)),flip(a)]. 5768 (x / y) * K(y \ x,y) = y \ x. [hyper(3251,a,5546,a)]. 5771 ((x \ y) * z) \ (K(x \ y,x) * ((y / x) * (z * u))) = L(L(u,z,y / x),(y / x) * z,K(x \ y,x)). [para(5546(a,1),440(a,1,1))]. 5780 K(x,y \ 1) * ((x \ (y \ x)) * z) = ((y \ x) / x) * z. [para(5078(a,1),5568(a,1,1))]. 5781 (x \ y) * (T(x,x \ y) * z) = (y / x) * (x * z). [para(4906(a,1),5571(a,1,2))]. 5783 L(x \ y,z,u) * (T(x,L(x \ y,z,u)) * w) = L(y / x,z,u) * (x * w). [para(628(a,1),5575(a,1,1)),flip(a)]. 5784 (x \ y) * (y / T(x \ y,y)) = ((y * (x \ y)) / y) * x. [hyper(536,a,5576,a),flip(a)]. 5785 (x * K(y,x)) \ L(x,y,x) = K(x,x * y). [hyper(72,a,5181,a(flip),b,5584,a)]. 5787 K(x,(y / z) \ 1) * z = z * K(x,(z \ y) \ 1). [para(121(a,1),5648(a,1,2,2,1)),flip(a)]. 5789 ((x * K(y,x)) \ 1) \ 1 = (x \ 1) \ K(y,x). [para(4854(a,1),5673(a,1,1,1))]. 5790 (x \ K(x,y)) \ 1 = (x \ 1) \ K(y,x). [para(4984(a,1),5673(a,1,1))]. 5791 1 / T(K(x,y),z) = T(K(y,x),z). [hyper(236,a,5651,a(flip),b,5679,a(flip))]. 5792 T(K(x,y),z) \ 1 = T(K(y,x),z). [hyper(236,a,2481,a(flip),b,5791,a(flip)),flip(a)]. 5793 T(K(x,y),z) * K(y,x) = K(z,K(y,x)). [para(5791(a,1),4827(a,2,1)),flip(a)]. 5794 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(5792(a,1),189(a,1,2)),flip(a)]. 5795 K(x,(y / z) \ 1) = K(x,z / y). [hyper(236,a,5419,a(flip),b,5701,a(flip))]. 5796 K(x,1 / (y / z)) = K(x,z / y). [hyper(5443,a,5795,a)]. 5797 K(x,y / (z * y)) = K(x,z \ 1). [para(15(a,1),5795(a,1,2,1)),flip(a)]. 5798 K(x,(y \ z) / z) = K(x,y \ 1). [para(62(a,1),5795(a,1,2,1)),flip(a)]. 5800 K(x,y / (z * y)) = K(x,1 / z). [para(15(a,1),5796(a,1,2,2)),flip(a)]. 5801 K(x,y / z) != u | K(x,(z / y) \ 1) = u. [para(5796(a,1),5228(a,1))]. 5802 (x * y) * (y / (x * y)) = y * K(x * y,x \ 1). [para(5797(a,1),250(a,1,2)),flip(a)]. 5803 ((x * y) \ y) * K(x * y,x \ 1) = y / (x * y). [para(5797(a,1),4919(a,1,2))]. 5804 K(x * y,x \ 1) * ((x * y) \ y) = y / (x * y). [para(5797(a,1),4927(a,1,1))]. 5806 K(x,y / (z * y)) != u | K(x,z \ 1) = u. [para(5800(a,2),5228(a,1))]. 5808 K(x,(y \ z) / z) != u | K(x,y \ 1) = u. [para(14(a,1),5806(a,1,2,2))]. 5809 T(x,K(y,z \ 1) / z) = T(x,z \ K(y,z \ 1)). [para(5717(a,1),4520(a,1,2))]. 5810 (x \ 1) * ((y * x) / y) = (T(x,y) \ 1) * x. [hyper(236,a,5028,a,b,5732,a(flip)),flip(a)]. 5811 T(x,y) * K(z,T(x,y)) != u | T(x * K(z,x),y) = u. [para(5754(a,1),216(a,1,2)),flip(b)]. 5812 T(x,y) \ T(z / (z / x),y) = K(x \ z,T(x,y)). [para(4799(a,2),5754(a,1,2,1))]. 5813 T(x,y) \ T(x * K(x * z,x),y) = K(z * x,T(x,y)). [para(5559(a,1),5754(a,1,2,1,2))]. 5814 T(x,y) \ T(z * T(z \ x,x),y) = K((x \ z) \ 1,T(x,y)). [para(5152(a,2),5754(a,1,2,1))]. 5815 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(T(x,z),u),y). [para(5493(a,1),5756(a,1,1,1))]. 5820 K(R(x,y,z),x \ R(x,u,w)) = R(x,y,z) \ R(x,y,z). [para(3697(a,1),4889(a,1,2,1)),flip(a)]. 5821 K(L(x,y,z),x \ 1) = K(x,x \ 1). [hyper(18,a,4755,a,b,4969,a)]. 5823 (x * y) * K(L(z,u,w),z \ 1) != v5 | x * (y * K(z,z \ 1)) = v5. [para(5821(a,2),4558(a,1,2))]. 5824 ((x * K(y,x)) \ ((y * (x * y)) / y)) \ ((y * (x * y)) / y) = x. [para(5047(a,2),4244(a,1,1))]. 5825 K((x / y) \ 1,z) != u | K(y / x,z) = u. [para(5149(a,1),5132(a,1))]. 5826 K(1 / (x / y),z) != u | K(y / x,z) = u. [para(5219(a,1),5132(a,1))]. 5828 T(x,y) * L(T(z,x),u,w) != v5 | K(x,y) * (L(z,u,w) * x) = v5. [para(40(a,2),5256(a,1,2))]. 5829 T(x,y) * R(T(z,x),u,w) != v5 | K(x,y) * (R(z,u,w) * x) = v5. [para(42(a,2),5256(a,1,2))]. 5835 K(K(x,y),z) = K(z,K(y,x)). [hyper(5392,a,5793,a)]. 5836 K(x,K(y,z)) != u | K(K(z,y),x) = u. [para(5793(a,1),5392(a,1))]. 5837 K(x,K(y,z)) \ 1 = K(x,K(z,y)). [hyper(5284,a,5835,a)]. 5839 K(x,y) * K(z,K(y,x)) = T(K(x,y),z). [para(5835(a,1),4887(a,2,2)),flip(a)]. 5840 x * K(K(y,z),x) = T(x,K(z,y)). [para(5835(a,2),4887(a,2,2)),flip(a)]. 5841 K(x,K(y,z)) * K(z,y) = T(K(z,y),x). [para(5835(a,1),4897(a,2,1)),flip(a)]. 5842 K(x,K(y,z)) \ 1 != u | K(x,K(z,y)) = u. [para(5835(a,1),5116(a,1,1))]. 5843 K(x,K(y,z)) * (K(z,y) * u) = T(K(z,y),x) * u. [para(5835(a,1),4906(a,1,1))]. 5844 T(K(x,y) \ z,K(y,x)) = z / K(x,y). [hyper(5320,a,5840,a),flip(a)]. 5845 T(T(x,K(y,z)),K(z,y)) = x. [hyper(5030,a,5840,a)]. 5846 T(x,K(y,z)) * K(z,y) = K(z,y) * x. [para(5840(a,1),4900(a,1,1))]. 5847 T(T(x,K(y,z)),K(z,y)) != u | u = x. [para(5840(a,1),5029(a,1,1))]. 5848 T(T(x,K(y,z)),K(z,y) * x) = L(x,K(z,y),x). [para(5840(a,1),5050(a,1,1))]. 5850 T(K(x,y),K(z,y)) = K(x,y). [para(2190(a,1),5845(a,1,1))]. 5851 K(x,y) \ K(z,x) = K(z,x) * K(y,x). [hyper(72,a,5850,a(flip),b,5269,a)]. 5852 K(x,y) * K(z,y) = K(z,y) * K(x,y). [para(5850(a,1),119(a,1,2))]. 5853 T(K(x,y),K(x,z)) != u | K(x,y) = u. [para(2191(a,1),5847(a,1,1)),flip(b)]. 5854 T(x,K(x,y)) != z | z = x. [para(3137(a,1),5847(a,1,1))]. 5857 T(x,(y \ 1) \ 1) != z | T(x,y) = z. [para(3026(a,1),5854(a,1)),flip(b)]. 5859 T(x,T(y,y \ 1)) != z | T(x,y) = z. [para(120(a,2),5857(a,1,2))]. 5863 (x * T(y,K(z,u))) \ (x * (K(u,z) * y)) = L(K(u,z),T(y,K(z,u)),x). [para(5846(a,1),28(a,2,2,2)),flip(a)]. 5864 K(x,y) * K(x,z) = K(x,z) * K(x,y). [para(2191(a,1),5846(a,1,1))]. 5865 K(x \ y,z) * (y \ x) = (y \ x) * K(x \ y,z). [para(3074(a,1),5846(a,1,1)),flip(a)]. 5866 x * (T(x,y) \ K(z,x)) = K(z,x) * K(y,x). [hyper(4910,a,5851,a)]. 5867 T(x,y) * (x \ K(x,z)) = K(x,z) * K(x,y). [hyper(5618,a,5864,a)]. 5868 K(K(x,y),z) != u | K(z,K(y,x)) = u. [para(5093(a,1),5842(a,1))]. 5869 L(x,y,((z \ 1) \ 1) * (T(z,u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). [para(5866(a,1),3851(a,2,3))]. 5870 K(x,y) * K(x,z) != u | K(x,z) * K(x,y) = u. [para(5867(a,1),5254(a,1))]. 5871 K(x,(y / z) \ 1) != u | K(x,z / y) = u. [para(5701(a,1),5420(a,1))]. 5872 K(x,R(y / z,z,u) \ 1) != w | K(x,(z * u) / (y * u)) = w. [para(114(a,2),5871(a,1,2,1))]. 5873 K(x,R(y / z,z,z \ u) \ 1) != w | K(x,u / (y * (z \ u))) = w. [para(484(a,2),5871(a,1,2,1))]. 5874 T(T(x * K(x * y,x),z),y) = R(T(x,z),y,x). [hyper(236,a,42,a,b,5497,a)]. 5875 (x * K(y,x)) \ z != u | K(x,y) * (x \ z) = u. [para(5564(a,2),5516(a,1))]. 5877 K(x \ 1,y) * (x \ z) != u | z * T(z \ (x \ z),y) = u. [para(5706(a,1),5542(a,1,1))]. 5878 ((x * y) / x) * z != u | y * (K(x,y) * z) = u. [para(4854(a,2),5593(a,1,1))]. 5879 K(x,y) * (y * z) != u | y * (K(x,y) * z) = u. [para(5570(a,1),5593(a,1))]. 5881 K(x,y \ 1) * y != z | T(1 / y,x) \ 1 = z. [para(5223(a,1),5614(a,1,1))]. 5882 (x / y) \ ((y \ x) * z) != u | K(y \ x,y) * z = u. [para(14(a,1),5620(a,1,1,1))]. 5883 (x / (x / y)) \ (y * z) != u | K(y,y \ x) * z = u. [para(4206(a,1),5620(a,1,1))]. 5884 K(x * (y \ 1),z) != u | K(x * (1 / y),z) = u. [para(65(a,1),5630(a,1,1,2,1))]. 5885 K(x * T((y \ 1) \ 1,z),u) != w | K(x * T(y,z),u) = w. [para(2479(a,1),5630(a,1,1,2))]. 5886 K(x * T((y * z) \ z,y),u) != w | K(x * ((y * z) \ z),u) = w. [para(2575(a,2),5630(a,1,1,2))]. 5887 K(x \ (y \ 1),z) != u | K(x \ (1 / y),z) = u. [para(65(a,1),5635(a,1,1,2,1))]. 5888 K(x,x \ y) * (x / y) != z | T(1 / (x / y),x) \ 1 = z. [para(5326(a,1),5881(a,1,1))]. 5889 K(x \ (y \ 1),z * T(u,u \ 1)) != w | K(x \ (1 / y),z * u) = w. [para(5470(a,2),5887(a,1))]. 5890 L(K(x,y \ 1),z,u) = K(x,L(y,z,u) \ 1). [para(4829(a,2),4872(a,1,1))]. 5892 L(x,y,z) \ K(x,L(x,y,z) \ 1) = (1 / x) * (L(x,y,z) \ x). [hyper(72,a,5890,a(flip),b,2689,a)]. 5893 K(x,L(y \ 1,z,u) \ 1) = L(K(x,y),z,u). [para(5233(a,1),5890(a,1,1)),flip(a)]. 5894 K(L(x \ 1,y,z) \ 1,u) * w = L(K(u,x),y,z) \ w. [para(5893(a,1),5260(a,1,1)),flip(a)]. 5895 K(x,L(L(y \ 1,z,u),w,v5) \ 1) = L(L(K(x,y),z,u),w,v5). [para(5893(a,1),5890(a,1,1)),flip(a)]. 5896 L(x,y,z) \ T(x,x \ 1) = x * (1 / L(x,y,z)). [para(4561(a,1),4963(a,1,2)),flip(a)]. 5898 a(1 / R(x,y,z),x,x \ 1) = K(R(x,y,z) \ 1,x). [hyper(236,a,2666,a,b,5146,a(flip)),flip(a)]. 5900 R(K(x \ 1,y),z,u) = K(R(x,z,u) \ 1,y). [para(4830(a,1),5146(a,1,1))]. 5901 K(R(1 / x,y,z) \ 1,u) = R(K(x,u),y,z). [para(4878(a,2),5146(a,1,1)),flip(a)]. 5903 K(R(x \ 1,y,z) \ 1,u) = R(K(x,u),y,z). [para(3247(a,1),5900(a,1,1)),flip(a)]. 5904 K(R(R(1 / x,y,z),u,w) \ 1,v5) = R(R(K(x,v5),y,z),u,w). [para(5901(a,1),5900(a,1,1)),flip(a)]. 5905 K(x,R(y \ 1,z,u) \ 1) * w = R(K(y,x),z,u) \ w. [para(5903(a,1),5260(a,1,1)),flip(a)]. 5906 L(K(x \ 1,y),z,u) = K(L(x,z,u) \ 1,y). [para(4830(a,1),5147(a,1,1))]. 5907 (x * y) * K(L(z,y,x) \ 1,u) = x * (y * K(z \ 1,u)). [para(5906(a,1),103(a,1,2))]. 5908 K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = L(1,y,z). [para(1687(a,1),5906(a,1,1)),flip(a)]. 5909 K(L(x \ 1,y,z) \ 1,u) = L(K(x,u),y,z). [para(3247(a,1),5906(a,1,1)),flip(a)]. 5910 K(L(T(1 / x,y),z,u) \ 1,w) = L(T(K(x,w),y),z,u). [para(5676(a,1),5906(a,1,1)),flip(a)]. 5911 x \ T(x * (y \ 1),z) = y \ K((y * (x \ 1)) \ 1,z). [hyper(236,a,877,a(flip),b,5157,a),flip(a)]. 5912 K(x \ 1,x) * (x \ y) = y * T(y \ (x \ y),T(x,z)). [para(3239(a,1),5161(a,1,1))]. 5913 K(x \ 1,y) * (x \ K(x,z)) = K(x,z) * T(x \ 1,y). [para(4035(a,1),5161(a,2,2,1))]. 5914 (x * y) \ (K(x \ 1,z) * y) = T((x * y) \ y,z). [hyper(72,a,5163,a(flip),b,857,a)]. 5916 x * (y \ T(y * (x \ (y \ 1)),z)) = K(x \ 1,z) * (y \ 1). [para(877(a,1),5163(a,1,2))]. 5917 x * (K(x \ 1,y) * (x \ z)) = K(x \ 1,y) * z. [para(5161(a,2),5163(a,1,2))]. 5918 K(((x \ 1) / (y / x)) \ 1,z) = (T(y,z) / x) / (y / x). [hyper(5707,a,5205,a)]. 5919 x \ (R(1 / y,y,x) * ((z * (y * x)) / z)) = K(z,1 / (x \ R(1 / y,y,x))). [para(358(a,1),5225(a,1,2,2,1,2))]. 5920 x / (K(y,z * (u / (w \ 1))) * x) = K(z * (u / (1 / w)),y). [hyper(236,a,5266,a,b,5439,a),flip(a)]. 5921 K((x * ((y \ 1) \ 1)) \ z,u) = K((x * y) \ z,u). [para(62(a,1),5442(a,1,1,1,2)),flip(a)]. 5922 (x * (y * ((z * (y \ (x \ u))) / z))) / u = K(z,((x * y) / u) \ 1). [para(1124(a,1),5453(a,1,1))]. 5923 T(x * ((y * (x \ z)) / y),z) / z = K(y,(T(x,z) / z) \ 1). [para(2219(a,1),5453(a,1,1))]. 5924 x * ((x \ y) * K(z,x \ y)) = y * K(z,(y \ x) \ 1). [hyper(236,a,5028,a(flip),b,5456,a),flip(a)]. 5925 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * ((1 / u) \ K(u \ 1,z))). [para(4984(a,2),5486(a,2,2,2)),flip(a)]. 5926 ((1 / x) \ y) \ ((1 / x) \ T(y,x)) = K(x \ ((x \ 1) \ y),x). [hyper(236,a,946,a,b,5527,a(flip)),flip(a)]. 5927 x / (y * ((z \ (y \ x)) * z)) = K(z,x / (z / (y \ 1))). [para(4673(a,1),5550(a,1,2))]. 5928 x * (y * K((y \ (x \ 1)) \ 1,z)) = T(x * y,z). [para(5687(a,1),14(a,1,2))]. 5929 K(x \ (y * ((x \ 1) \ 1)),z) = K(T(y,x),z). [para(32(a,2),5735(a,2,1))]. 5930 K(((x \ 1) * (x * y)) \ z,u) = K(L(y,x,x \ 1) \ z,u). [para(2923(a,1),5740(a,1,1,1)),flip(a)]. 5931 K(x,y \ ((z \ 1) * (z * u))) = K(x,y \ L(u,z,z \ 1)). [para(2923(a,1),5745(a,1,2,2)),flip(a)]. 5932 K(x,y * ((z \ 1) * (z * u))) = K(x,y * L(u,z,z \ 1)). [para(2923(a,1),5748(a,1,2,2)),flip(a)]. 5933 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,T(K(z \ y,z),u)). [para(4796(a,1),5750(a,1,2,1)),flip(a)]. 5935 a(x \ y,(x \ y) \ y,z) = ((y / x) * (x * z)) \ (y * z). [para(5781(a,1),846(a,1,1)),flip(a)]. 5938 K(x,y \ K(y,z)) * z = z * K(x,(z \ (z * y)) \ 1). [para(4984(a,1),5787(a,1,1,2))]. 5939 x * K(y,(x \ z) \ 1) = K(y,x / z) * x. [para(5795(a,1),5787(a,1,1)),flip(a)]. 5940 T(K(x,y / z),y) = K(x,(y \ z) \ 1). [hyper(169,a,5939,a)]. 5942 (x * y) * R(1 / x,x,y) = y * K(x * y,x \ 1). [para(159(a,2),5802(a,1,2))]. 5944 T((x * y) \ y,T(x,z)) = (x * y) \ (K(x \ 1,x) * y). [para(3239(a,1),5914(a,1,2,1)),flip(a)]. 5945 K(x \ 1,y) * (x * z) = x * (K(x \ 1,y) * z). [para(13(a,1),5917(a,1,2,2)),flip(a)]. 5946 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K((1 / x) \ 1,y) * z. [para(65(a,1),5917(a,1,2,1,1))]. 5947 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K((x \ 1) \ 1,y) * z. [para(3247(a,1),5917(a,1,2,1))]. 5948 K(x,y) * (z * K((z \ K(y,x)) \ 1,u)) = T(K(x,y) * z,u). [para(5093(a,1),5928(a,1,2,2,1,1,2))]. 5950 L(x * K(y,x),K(x * K(y,x),y),z) = (z * K(x,y)) \ (z * x). [para(5003(a,2),5094(a,1,2))]. 5951 (K(x,y) \ z) * L(u,z,K(y,x)) = K(x,y) \ (z * u). [hyper(236,a,5260,a,b,5275,a)]. 5952 L(L(L(x \ 1,y * x,K(z,u)),x,y),K(z,u) * (y * x),K(u,z)) = (K(u,z) * (K(z,u) * (y * x))) \ y. [para(850(a,2),5276(a,1,1))]. 5953 L(K(x,y) * (K(z,u) * w),K(y,x),K(u,z)) = (K(u,z) * K(y,x)) \ w. [para(5260(a,1),5276(a,1,1))]. 5954 T(1 / L(x,y,z),x) = L(x,y,z) \ 1. [para(5391(a,1),4944(a,1,1))]. 5955 T((1 / x) * K(y * R(1 / x,x,z),1 / x),y) = R(1 / x,y,z / (x * z)). [para(159(a,1),5495(a,2,3))]. 5956 L(T(x,y) \ 1,x,y) = (x * y) \ y. [hyper(2095,a,5605,a)]. 5957 (x * y) \ T(x,y) = (y * x) \ x. [hyper(236,a,4398,a(flip),b,5956,a(flip)),flip(a)]. 5958 ((x \ y) * x) \ x = y \ T(x,x \ y). [hyper(295,a,5957,a),flip(a)]. 5959 T(x,y) = (x * y) * ((y * x) \ x). [para(5957(a,1),14(a,1,2)),flip(a)]. 5960 (x * (y / x)) \ (y / x) = y \ T(y / x,x). [para(16(a,1),5957(a,1,1)),flip(a)]. 5962 (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = ((y * x) \ x) * R(((x * y) \ T(x,y)) \ 1,z,u). [para(5957(a,1),1542(a,1,1)),flip(a)]. 5963 (x * (y / x)) \ (y / x) = y \ (x \ y). [para(121(a,1),5960(a,2,2))]. 5965 K(x \ 1,L(x,y,z)) = K(x \ 1,x). [hyper(17,a,4738,a(flip),b,5656,a)]. 5966 L(x * K(y,x),z,u) / L(x,z,u) != w | K(y,L(x,z,u)) = w. [para(5656(a,1),3140(a,1,1))]. 5967 (x * y) * K(z \ 1,L(z,u,w)) = x * (y * K(z \ 1,z)). [para(5965(a,2),4482(a,1,2))]. 5972 T(x,x \ y) \ z != u | ((x \ y) \ y) \ z = u. [para(5204(a,1),5722(a,1))]. 5973 T(x,x \ y) \ R(T(z,z \ u),w,v5) != v6 | ((x \ y) \ y) \ R((z \ u) \ u,w,v5) = v6. [para(991(a,2),5972(a,1))]. 5976 (1 / R(x,y,z)) * K(R(x,y,z) \ 1,x) = ((1 / R(x,y,z)) * x) * (x \ 1). [para(5898(a,1),677(a,1,2))]. 5977 (x * y) * L(z,y * x,K(x,y)) = K(y,x) \ ((y * x) * z). [para(4815(a,1),5951(a,1,1))]. 5978 L(x,K(y,z),L(y,u,w)) = x. [hyper(436,a,4862,a)]. 5979 (K(x,y) * L(x,z,u)) * w = L(x,z,u) * (K(x,y) * w). [para(3256(a,1),4862(a,1,1))]. 5980 (L(x,y,z) * K(x,u)) \ w = K(u,x) * (L(x,y,z) \ w). [hyper(236,a,5277,a(flip),b,5978,a(flip)),flip(a)]. 5981 K(x,y) * ((x \ 1) \ y) != z | (y \ ((x \ 1) \ y)) * y = z. [para(4894(a,2),220(a,1))]. 5982 T(x * K(y,x),x \ K(x,y)) = (x \ 1) \ K(y,x). [hyper(236,a,5789,a(flip),b,5118,a)]. 5983 (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),5154(a,2,2))]. 5984 (x * K(y \ 1,z)) * y = (x * y) * K(y \ 1,z). [para(4830(a,1),5166(a,1,1,2))]. 5986 (x * K(y \ 1,z)) \ ((x * y) * K(y \ 1,z)) = y. [hyper(80,a,5984,a)]. 5987 (x * K(y \ 1,z)) / y = (x / y) * K(y \ 1,z). [hyper(74,a,89,a(flip),b,5984,a)]. 5990 R(T(x,y * K(x \ 1,z)),y,K(x \ 1,z)) = T(x,y). [para(5986(a,1),984(a,1,1)),flip(a)]. 5991 (T(x,y \ 1) / y) * K(y \ 1,x) = x / y. [para(4836(a,1),5987(a,1,1)),flip(a)]. 5992 (T(x,y \ 1) / y) \ (x / y) = K(y \ 1,x). [hyper(80,a,5991,a)]. 5993 K(x \ 1,(1 / x) \ (y / x)) = K(x \ 1,y). [hyper(236,a,3309,a,b,5992,a(flip)),flip(a)]. 5994 K(x \ 1,(1 / x) \ y) = K(x \ 1,y * x). [para(15(a,1),5993(a,1,2,2))]. 5995 K(1 / x,(1 / x) \ y) = K(x \ 1,y * x). [hyper(5393,a,5994,a)]. 5996 K(x \ 1,(x \ 1) \ y) = K(x \ 1,y * x). [hyper(236,a,5476,a(flip),b,5994,a(flip)),flip(a)]. 5997 ((1 / x) \ y) * K(x \ 1,y * x) = y / (1 / x). [para(5995(a,1),4903(a,1,2))]. 5998 (1 / x) * (y / (1 / x)) = y * K(x \ 1,y * x). [para(5995(a,1),5079(a,1,2)),flip(a)]. 5999 K(x \ 1,y * x) * ((1 / x) \ y) != z | y / (1 / x) = z. [para(5995(a,1),5401(a,1,1))]. 6000 (x \ 1) * (y / (x \ 1)) = y * K(x \ 1,y * x). [para(5996(a,1),5079(a,1,2)),flip(a)]. 6001 x * K((y \ 1) \ 1,x * (y \ 1)) = y * (x / y). [hyper(236,a,2987,a(flip),b,6000,a(flip))]. 6002 ((x * (y \ 1)) \ x) * (x * (y \ 1)) = y * (x / y). [hyper(236,a,5160,a,b,6001,a(flip)),flip(a)]. 6003 x * K(y,x * (y \ 1)) = y * (x / y). [para(3247(a,1),6001(a,1,2))]. 6004 x * K(y,x * (1 / y)) = y * (x / y). [para(5472(a,2),6003(a,1,2))]. 6005 K(x,y * (1 / x)) = K(x,x \ y). [hyper(17,a,5079,a,b,6004,a)]. 6006 K(x * (1 / y),y) = 1 / K(y,y \ x). [para(6005(a,1),5102(a,1,2)),flip(a)]. 6007 K(x * (1 / y),y) = K(y \ x,y). [hyper(236,a,5102,a(flip),b,6006,a)]. 6008 K(x * (y \ 1),y) = K(y \ x,y). [hyper(5631,a,6007,a)]. 6009 K((x \ 1) \ y,x \ 1) = K(y * x,x \ 1). [para(62(a,1),6007(a,1,1,2)),flip(a)]. 6010 x * K(x * (1 / y),y) = (y \ x) * y. [para(6007(a,2),249(a,1,2))]. 6011 K(R(x,y,y \ 1),y) = K(y \ (y * x),y). [hyper(236,a,5000,a(flip),b,6008,a(flip)),flip(a)]. 6012 ((x \ 1) \ y) * (x \ 1) = y * K(y * x,x \ 1). [para(62(a,1),6010(a,1,2,1,2)),flip(a)]. 6013 ((1 / x) \ y) * (1 / x) = y * K(y * x,1 / x). [para(5426(a,1),6010(a,1,2)),flip(a)]. 6014 K(R(x,y,y \ 1),y) = K(x,y). [hyper(236,a,660,a(flip),b,6011,a)]. 6016 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = x * K(y,(x \ y) \ 1). [para(14(a,1),6012(a,2,2,1))]. 6017 K(x / (1 / y),1 / y) = K(x * y,1 / y). [hyper(5332,a,6013,a)]. 6018 K(x,x * y) * (L(y,z,u) * x) = L(y,z,u) * T(x,x * y). [hyper(4272,a,5255,a(flip)),flip(a)]. 6019 x * (y * ((x \ 1) / y)) = K(y,(x * y) \ 1). [para(14(a,1),5451(a,1,2,2,1))]. 6020 (x * y) * (x / (x * y)) = x * K(x * y,y \ 1). [para(14(a,1),5454(a,1,2,1))]. 6021 (x * y) * (z * (L(y \ z,y,x) / z)) = (x * K(z,y \ 1)) * z. [para(5454(a,1),2217(a,1,1)),flip(a)]. 6022 x * (K(y,x \ 1) * (x \ z)) = K(y,x \ 1) * z. [para(5457(a,2),5459(a,1,2))]. 6023 K(x,y \ 1) * (y * z) = y * (K(x,y \ 1) * z). [para(13(a,1),6022(a,1,2,2)),flip(a)]. 6025 x \ (K(y,x \ 1) * z) != u | K(y,x \ 1) * (x \ z) = u. [para(6022(a,1),283(a,1,2)),flip(b)]. 6027 K(x,y / (z * (u \ (z \ y)))) = y / (z * (K(u,x) * (z \ y))). [para(5190(a,1),5549(a,1,2,2)),flip(a)]. 6028 K((K(x,y) / x) * z,u) = K((x \ K(x,y)) * z,u). [para(5113(a,1),5554(a,1,1,1)),flip(a)]. 6029 (K(x,y) * R(y,z,u)) * w = R(y,z,u) * (K(x,y) * w). [para(3147(a,1),5590(a,1,1))]. 6030 K((x \ (y / (z \ 1))) \ 1,y) = x \ (((y \ (x / z)) * y) * z). [para(3731(a,1),5684(a,1,2)),flip(a)]. 6031 x * K((x \ (y * z)) \ 1,y) = z * ((y \ (z \ x)) * y). [hyper(4676,a,5686,a),flip(a)]. 6032 x \ (((y \ (x / z)) * y) * z) != u | K((x \ (y * z)) \ 1,y) = u. [para(5686(a,2),283(a,1,2)),flip(b)]. 6033 K(x,y * (((1 / (1 / z)) \ u) * w)) = K(x,y * ((z \ u) * w)). [para(5760(a,1),5747(a,1,2,2))]. 6034 K(x \ R(x,y,z),x) != (u \ 1) * w | T(u,R(u \ 1,v5,v6)) = w. [para(5767(a,2),19(a,1))]. 6035 ((x \ y) \ y) * (y / T(T(x,x \ y),y)) = ((y * ((x \ y) \ y)) / y) * (x \ y). [para(120(a,2),5784(a,1,2,2,1))]. 6036 K(x * y,T(y,z)) = K(y * x,T(y,z)). [hyper(5755,a,5813,a),flip(a)]. 6037 K(R(x,y,z),x \ R(x,u,w)) = 1. [hyper(236,a,52,a(flip),b,5820,a)]. 6039 L(K(x,y),z,u) \ w = L(K(y,x),z,u) * w. [para(5909(a,1),5894(a,1,1)),flip(a)]. 6040 L(K(x,y),z,u) \ 1 = L(K(y,x),z,u). [hyper(4036,a,6039,a)]. 6041 L(K(x,y),z,u) * (L(K(y,x),z,u) * w) = w. [hyper(306,a,6039,a),flip(a)]. 6042 L(K(x,y),z,u) \ 1 != w | L(K(y,x),z,u) = w. [para(6039(a,2),83(a,1)),flip(b)]. 6043 1 / L(K(x,y),z,u) != w | L(K(y,x),z,u) = w. [para(6040(a,1),294(a,1,2)),flip(b)]. 6044 L(K(x,y),z,u) * w != v5 | L(K(y,x),z,u) * v5 = w. [para(6041(a,1),19(a,1)),flip(a)]. 6045 L(K(x,y),z,u) \ w != v5 | L(K(y,x),z,u) * w = v5. [para(6041(a,1),283(a,1,2)),flip(b)]. 6046 x * (y \ K((y * (x \ 1)) \ 1,z)) = T(x * (y \ 1),z). [para(5911(a,1),14(a,1,2))]. 6047 x * (y \ T(y * (x \ 1),z)) = K((x * (y \ 1)) \ 1,z). [para(5911(a,2),14(a,1,2))]. 6048 x * T(x \ (y \ x),T(y,z)) = ((y \ 1) \ 1) \ x. [hyper(5722,a,5912,a),flip(a)]. 6049 K(x,y \ K(y,z)) * z = z * K(x,y \ 1). [para(13(a,1),5938(a,2,2,2,1))]. 6051 T((x * y) \ y,T(x,z)) = T((x * y) \ y,x). [hyper(236,a,5914,a(flip),b,5944,a)]. 6052 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(6029(a,1),467(a,1))]. 6053 x * ((y \ (x \ y)) * y) = y * K(x \ 1,y). [para(13(a,1),6031(a,1,2,1,1)),flip(a)]. 6054 (x * y) * ((z \ L(y \ z,y,x)) * z) = x * (z * K(y \ 1,z)). [para(6053(a,1),4752(a,2,2))]. 6055 K(((1 / x) * (y \ 1)) \ 1,z) = (1 / x) * (y \ T(y * x,z)). [para(65(a,1),6047(a,1,2,2,1,2)),flip(a)]. 6056 T(x \ y,z) \ T((x \ y) * (y \ x),z) = y \ (x * K(z,x \ y)). [hyper(236,a,2097,a,b,4987,a(flip)),flip(a)]. 6057 T(x,y) \ ((z * x) / z) = K(z,x) * K(y,x). [hyper(5061,a,5866,a)]. 6058 ((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(6057(a,1),104(a,1,2,2,1))]. 6059 (L(x,y,z) \ x) / x = 1 / L(x,y,z). [hyper(236,a,5391,a(flip),b,5505,a(flip))]. 6061 (1 / L(x,y,z)) * x = L(x,y,z) \ x. [para(6059(a,1),16(a,1,1))]. 6062 x / L(x,y,z) = L(x,y,z) \ x. [hyper(1668,a,6061,a)]. 6064 L(x,y,x / (y * x)) \ x = (x / (y * x)) * y. [hyper(779,a,6062,a),flip(a)]. 6065 L(x,y,z) / L(L(x,y,z),u,w) = L(L(x,u,w),y,z) \ L(x,y,z). [para(45(a,1),6062(a,2,1))]. 6066 (L(x,y,z) \ x) \ x = L(x,y,z). [para(6062(a,1),65(a,1,1))]. 6068 L(T(x,y),y,K(z,x)) = T(x,K(z,x) * y). [hyper(284,a,5536,a),flip(a)]. 6069 L(T(x,y),y,K(z,x)) != u | T(x,K(z,x) * y) = u. [para(5536(a,1),284(a,1))]. 6070 K(((x \ 1) \ 1) \ y,z) != u | K(x \ y,z) = u. [para(5233(a,1),5557(a,1))]. 6071 K(T((x \ 1) \ 1,y) \ z,u) != w | K(T(x,y) \ z,u) = w. [para(2479(a,1),6070(a,1,1,1))]. 6075 (x * T(x \ y,z)) * (y \ 1) = K((x * (y \ 1)) \ 1,z). [hyper(5607,a,1413,a),flip(a)]. 6076 x * ((y \ (x \ 1)) * y) = K((x * y) \ 1,y). [hyper(5607,a,161,a),flip(a)]. 6078 K((x * (y \ 1)) \ 1,y) = K(x \ y,y). [hyper(236,a,5218,a(flip),b,6075,a(flip))]. 6079 (x * K((x \ y) \ 1,z)) * (x \ 1) = K((y * (x \ 1)) \ 1,z). [para(5152(a,1),6075(a,1,1))]. 6080 x * (y \ K(y \ x,x)) = T(x * (y \ 1),x). [para(6078(a,1),6046(a,1,2,2))]. 6081 ((x * (K(y \ x,x) * (y \ 1))) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(6080(a,1),1568(a,2,2,1))]. 6082 L(K(x \ 1,y),z,u) != w | K(L(x,z,u) \ 1,y) = w. [para(4830(a,1),5609(a,1,1))]. 6083 T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,1 / y). [para(5428(a,1),5719(a,1,1,1))]. 6084 K(x,y) * ((x \ 1) \ z) != u | z * T(z \ ((x \ 1) \ z),y) = u. [para(3247(a,1),5877(a,1,1))]. 6086 (x * y) * z != x * (y * K(u \ 1,w)) | K(L(u,y,x) \ 1,w) = z. [para(5907(a,1),19(a,1)),flip(a)]. 6087 x / (K(L(y,z,z \ 1) \ u,w) * x) = K(w,((z \ 1) * (z * y)) \ u). [para(5930(a,1),5266(a,1,2,1))]. 6088 a(x \ y,(x \ y) \ y,z) = a(y / x,x,z). [hyper(236,a,94,a(flip),b,5935,a)]. 6089 a(x \ y,T(x,x \ y),z) = a(y / x,x,z). [hyper(236,a,1567,a,b,6088,a(flip)),flip(a)]. 6090 (x * y) * K(z \ 1,L(z,u,w)) = x * (y * K(z \ 1,L(z,v5,v6))). [para(5965(a,2),5967(a,2,2,2))]. 6091 K(x,y) \ ((x * y) * z) != (y * x) * u | L(z,x * y,K(y,x)) = u. [para(5977(a,1),19(a,1))]. 6093 T(K(x * (y \ 1),y \ 1) / y,x) = R(1 / y,x,y \ 1). [hyper(236,a,4488,a(flip),b,6083,a)]. 6094 T(x * L(x \ 1,y,z),u) != w | x * (K(x,u) * L(x \ K(u,x),y,z)) = w. [para(5017(a,1),5624(a,1))]. 6095 (x * y) * K(R(y,x,y),x * y) = ((y * x) / R(y,x,y)) * y. [hyper(1928,a,5031,a),flip(a)]. 6096 (x * y) \ K(x * y,x \ (1 / y)) = 1 / (x * y). [hyper(236,a,5380,a(flip),b,5067,a(flip)),flip(a)]. 6097 (x * K(y,z)) \ K(x * K(y,z),x \ K(z,y)) = 1 / (x * K(y,z)). [para(5102(a,1),6096(a,1,2,2,2))]. 6098 (1 / (1 / x)) / (x * y) = x / (((x \ 1) \ 1) * y). [para(4942(a,1),5072(a,1,2)),flip(a)]. 6099 (1 / (1 / x)) / (x * (T(x,y) \ 1)) = x / (T(x,y) \ ((x \ 1) \ 1)). [para(1533(a,1),6098(a,2,2))]. 6100 T(x,y) / (T(x,y) * y) = x / ((y * K(x,y)) * x). [para(4945(a,1),5302(a,1,1))]. 6101 T(x,y) / (T(x,y) * y) = x / (x * y). [para(4900(a,1),6100(a,2,2))]. 6102 (x / (x * y)) \ T(x,y) = T(x,y) * y. [para(6101(a,1),65(a,1,1))]. 6103 (x \ K(x,y)) * T((x \ 1) \ 1,z) = K(x,y) * K(x,z). [hyper(236,a,5867,a(flip),b,5381,a)]. 6104 K(x \ 1,x) * (K(x,y) * K(x,z)) = (x \ K(x,y)) * T(x,z). [para(6103(a,1),3368(a,1,2))]. 6105 K(x \ 1,y) * ((1 / x) \ z) = (K(y,x \ 1) / x) \ z. [para(5235(a,1),5565(a,1,1)),flip(a)]. 6106 (K(x * y,y \ 1) / y) \ x = x / (1 / y). [hyper(5999,a,6105,a),flip(a)]. 6107 ((x \ T(x * (y / z),u)) * z) / y = K((((x \ 1) * z) / y) \ 1,u). [para(1421(a,1),5681(a,1,1))]. 6108 x * K((x \ (y * z)) \ 1,z) = y * ((z \ (y \ x)) * z). [hyper(236,a,161,a(flip),b,5688,a)]. 6109 x * K((T(x,y) \ y) \ 1,z) = T(y * T(y \ x,z),x). [hyper(236,a,1584,a(flip),b,5692,a(flip))]. 6110 T(x * T(x \ y,z),y) != y * u | K((T(y,x) \ x) \ 1,z) = u. [para(6109(a,1),19(a,1))]. 6111 R(R(K(x,y),x,x \ z),z,u) = K((((x \ z) * u) / (z * u)) \ 1,y). [para(544(a,1),5904(a,1,1,1)),flip(a)]. 6112 K(x * (y / (1 / z)),u) != w | K(x * (y / (z \ 1)),u) = w. [para(5920(a,1),5272(a,1))]. 6113 T(((x * y) / x) * (y \ z),z) / z = K(x,(T(y \ z,z) / z) \ 1). [para(826(a,1),5923(a,1,1,1))]. 6114 (1 / x) * (K(x,y) * ((1 / x) \ z)) = K(x,y) * z. [para(65(a,1),5946(a,2,1,1))]. 6115 K(x,y) * ((1 / x) * z) = (1 / x) * (K(x,y) * z). [para(13(a,1),6114(a,1,2,2)),flip(a)]. 6117 (K(x,y) * ((1 / x) * z)) / (K(x,y) * z) = 1 / x. [hyper(555,a,6115,a)]. 6118 (K(x,y) * z) \ (K(x,y) * ((1 / x) * z)) = T(1 / x,K(x,y) * z). [hyper(394,a,6115,a,b,xx),flip(a)]. 6119 (x \ 1) * (K(x,y) * ((x \ 1) \ z)) = K(x,y) * z. [para(3247(a,1),5947(a,2,1))]. 6121 K(x,y) * ((x \ 1) * z) = (x \ 1) * (K(x,y) * z). [para(13(a,1),6119(a,1,2,2)),flip(a)]. 6122 (x \ 1) * (K(x,y) * T(z,x \ 1)) = K(x,y) * (z * (x \ 1)). [para(32(a,2),6119(a,1,2,2))]. 6124 K(x,y) * ((x \ 1) * T(z,K(x,y))) = (x \ 1) * (z * K(x,y)). [hyper(236,a,161,a(flip),b,6121,a)]. 6125 x * (K(x,y) * ((x \ 1) * z)) != u | L(K(x,y) * z,x \ 1,x) = u. [para(6121(a,2),448(a,1,2))]. 6126 ((x \ 1) * y) / ((x \ 1) * (K(x,z) * y)) = K(z,x). [para(6121(a,1),5266(a,1,2))]. 6127 ((x \ 1) * (K(y,x) * z)) / ((x \ 1) * z) = K(y,x). [para(5268(a,1),6126(a,1,2,2))]. 6128 K(x,y) * ((y \ 1) * z) = (y \ 1) * (K(x,y) * z). [para(6127(a,1),16(a,1,1))]. 6131 K(x,y) * (K(y,x) * T(K(y,x) \ z,u)) = T(K(x,y) * z,u). [para(5152(a,2),5948(a,1,2))]. 6132 T(K(x,y) * (z * K(y,x)),u) = K(x,y) * (T(z,u) * K(y,x)). [para(5689(a,1),5948(a,1,2)),flip(a)]. 6133 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(4227(a,1),6018(a,1,2))]. 6134 K(x,y * ((z \ L(u,1 / z,z)) * w)) = K(x,y * (((1 / z) * u) * w)). [para(2931(a,1),6033(a,1,2,2,1)),flip(a)]. 6135 ((1 / x) * T((1 / x) \ y,z)) * (y \ 1) = (1 / x) * (y \ T(y * x,z)). [hyper(236,a,6075,a,b,6055,a(flip)),flip(a)]. 6136 K(((x \ 1) * (y \ 1)) \ 1,z) = (1 / x) * (y \ T(y * x,z)). [hyper(236,a,5740,a(flip),b,6055,a(flip)),flip(a)]. 6137 K((x * ((1 / y) \ 1)) \ 1,z) / y = (1 / y) * K(((1 / y) \ x) \ 1,z). [hyper(312,a,6079,a)]. 6138 ((x * y) / R(x,y,x)) * x = (y * x) * K(T(x,y),y * x). [para(4999(a,1),6095(a,1,2)),flip(a)]. 6139 (K(x,y) * K(x,z)) \ K(x,x \ 1) = ((x \ K(x,y)) * T(x,z)) \ 1. [para(6104(a,1),3637(a,1,1)),flip(a)]. 6140 K(x,y) \ T(K(x,y) * z,u) = K(y,x) * T(K(y,x) \ z,u). [hyper(80,a,6131,a)]. 6141 T(K(x,y) * (z * K(y,x)),u) != K(x,y) * w | T(z,u) * K(y,x) = w. [para(6132(a,2),19(a,1))]. 6142 K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = (1 / (x \ y)) * (x \ T(y,z)). [para(14(a,1),6136(a,2,2,2,1))]. 6143 (K(x,y) * T(K(x,y) \ z,u)) * K(y,x) = T(z * K(y,x),u). [para(6140(a,1),4634(a,1,1))]. 6144 T((K(x,y) * z) * K(y,x),u) = (K(x,y) * T(z,u)) * K(y,x). [para(13(a,1),6143(a,1,1,2,1)),flip(a)]. 6145 T(x * K(y,z),u) != w * K(y,z) | K(z,y) * T(K(z,y) \ x,u) = w. [para(6143(a,1),20(a,1))]. 6146 T((K(x,y) * z) * K(y,x),u) != w * K(y,x) | K(x,y) * T(z,u) = w. [para(6144(a,2),20(a,1))]. 6147 ((x * y) / R(x,y,x)) * x = T(x,y * x) * T(y,x). [hyper(5051,a,6138,a(flip)),flip(a)]. 6148 T(x,(x \ y) * x) * T(x \ y,x) = (y / R(x,x \ y,x)) * x. [para(14(a,1),6147(a,1,1,1)),flip(a)]. 6149 (x * y) * K(1 / L(z,y,x),u) = x * (y * K(1 / z,u)). [para(4883(a,1),5221(a,2,2,2))]. 6150 L(K(1 / x,y),z,u) = K(1 / L(x,z,u),y). [hyper(436,a,6149,a)]. 6151 L(K(x \ y,x) * z,K(x,x \ y),y) = (x * (y / x)) \ (y * z). [para(5268(a,1),5330(a,1,2,2)),flip(a)]. 6152 K(x,x * y) * (R(y,z,u) * x) = R(y,z,u) * T(x,x * y). [hyper(5829,a,4271,a)]. 6153 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(4227(a,1),6152(a,1,2))]. 6154 (1 / x) * (L(x,y,z) \ x) = 1 / L(x,y,z). [hyper(236,a,5391,a(flip),b,5892,a(flip))]. 6156 L(x \ 1,y,z) \ (x \ 1) = x \ (1 / L(x \ 1,y,z)). [hyper(72,a,6154,a(flip),b,134,a(flip)),flip(a)]. 6157 (1 / x) * ((L(x,y,z) \ 1) * x) = T(1 / L(x,y,z),x). [para(6154(a,1),1229(a,1,1)),flip(a)]. 6158 L(x \ 1,y,z) \ (x \ 1) = x \ (L(1 / x,y,z) \ 1). [para(2696(a,1),6156(a,2,2))]. 6159 (x \ 1) \ T(1 / L(x,y,z),x) = (L(x,y,z) \ 1) * T(x,x \ 1). [hyper(72,a,6157,a(flip),b,2945,a)]. 6160 K(L(x,y,z) \ 1,(x \ 1) * L((x \ 1) \ 1,u,w)) = 1. [hyper(236,a,329,a(flip),b,5908,a)]. 6162 K(L(x,y,z) \ 1,x \ L(x,u,w)) = 1. [para(1051(a,1),6160(a,1,2))]. 6163 T(L(x,y,z) \ 1,x \ L(x,u,w)) = L(x,y,z) \ 1. [hyper(37,a,6162,a)]. 6164 T(x \ L(x,y,z),L(x,u,w) \ 1) = x \ L(x,y,z). [hyper(35,a,6163,a)]. 6165 T(L(x,y,z) * (x \ 1),L(x,u,w) \ 1) = x \ L(x,y,z). [para(1207(a,2),6164(a,1,1))]. 6166 (L(x,y,z) * (x \ 1)) \ (x \ 1) = (x \ 1) / (x \ L(x,y,z)). [para(6165(a,1),4084(a,1,2)),flip(a)]. 6167 (L(x,y,z) * (x \ 1)) \ (x \ 1) = L(x,y,z) \ 1. [hyper(236,a,2638,a(flip),b,6166,a)]. 6168 (x \ L(x,y,z)) \ (x \ 1) = L(x,y,z) \ 1. [para(1207(a,1),6167(a,1,1))]. 6169 (x * y) * L(z * ((y \ z) / z),y,x) = (x * K(z,y \ 1)) * z. [para(4749(a,2),6021(a,1,2))]. 6170 K((x \ (y / (z \ 1))) \ 1,y) != u | K((x \ (y * z)) \ 1,y) = u. [para(6030(a,2),6032(a,1))]. 6171 ((x \ (x / y)) * x) * ((z \ L(K(y \ 1,x) \ z,K(y \ 1,x),x / y)) * z) = (x / y) * (z * K(K(y \ 1,x) \ 1,z)). [para(5151(a,2),6054(a,1,1))]. 6172 (x / R(y,y \ x,y)) * y = T(y,x) * T(y \ x,y). [para(4256(a,1),6148(a,1,1)),flip(a)]. 6173 (x / R(y,y \ x,y)) * y = (y \ x) * T(y,x). [hyper(236,a,3923,a(flip),b,6172,a)]. 6174 x / R(y,y \ x,y) = y \ (x * K(y,x)). [hyper(18,a,5052,a,b,6173,a)]. 6175 x / R(y,y \ x,y) = (y * K(x,y)) \ x. [hyper(236,a,5580,a,b,6174,a)]. 6176 x / ((y \ x) \ T(x,y)) = (y * K(x,y)) \ x. [para(4234(a,1),6175(a,1,2))]. 6177 ((x * K(y,x)) \ y) \ y = (x \ y) \ T(y,x). [para(6176(a,1),65(a,1,1))]. 6178 (x \ (y * K(x,y))) \ y = (x \ y) \ T(y,x). [para(5580(a,1),6177(a,1,1))]. 6179 (x \ ((x * y) / x)) \ y = (x \ y) \ T(y,x). [para(4854(a,2),6178(a,1,1,2))]. 6180 x * (y * (z * ((y \ z) / z))) = (x * K(z,y \ 1)) * z. [hyper(219,a,6169,a)]. 6181 (x * K(y,z \ 1)) * y = x * T(y,z \ 1). [para(3771(a,1),6180(a,1,2)),flip(a)]. 6187 (x * K(y,z)) * y = x * T(y,(z \ 1) \ 1). [para(5233(a,1),6181(a,1,1,2))]. 6188 (x * K(y,z)) * y = x * T(y,z). [para(3020(a,1),6187(a,2,2))]. 6189 R(x,K(y,z),y) = x. [hyper(4978,a,6188,a)]. 6190 L(x,K(x,y),z) = x. [hyper(4977,a,6188,a)]. 6191 x \ (y * T(x,z)) = T(y * K(x,z),x). [hyper(394,a,xx,b,6188,a),flip(a)]. 6193 x * T(y * K(x,z),x) = y * T(x,z). [hyper(222,a,6188,a)]. 6194 (x * T(y,z)) / y = x * K(y,z). [hyper(87,a,6188,a)]. 6195 (1 / x) * K(x,y) = K(x,y) / x. [hyper(74,a,4879,a,b,6188,a),flip(a)]. 6196 (x / ((y \ z) \ z)) * K(y,y \ z) = x / y. [hyper(74,a,646,a(flip),b,6188,a),flip(a)]. 6197 (x / T(y,z)) * K(y,z) = x / y. [hyper(74,a,16,a(flip),b,6188,a),flip(a)]. 6198 (x / T(y,z)) * K(y,y \ x) = (y * (x / y)) / T(y,z). [hyper(18,a,4357,a,b,6188,a)]. 6199 (x * y) * K(T(x,y),z) = T(x,z) * y. [hyper(18,a,1180,a,b,6188,a)]. 6200 (x / y) * T(y,z) = x * K(y,z). [hyper(18,a,1145,a,b,6188,a),flip(a)]. 6201 (x * y) * K(y,z) = x * T(y,z). [hyper(18,a,1140,a,b,6188,a)]. 6202 (x \ T(y,x)) * K(x,y) = x \ y. [hyper(18,a,4318,a(flip),b,6188,a)]. 6204 (x * (y * T(z,u))) \ ((x * (y * K(z,u))) * z) = a(x,y * K(z,u),z). [para(6188(a,1),24(a,2,1,2)),flip(a)]. 6205 L(x \ 1,x,y * K(x,z)) = (y * T(x,z)) \ (y * K(x,z)). [para(6188(a,1),158(a,2,1))]. 6206 x \ (y * T(x,z)) != u | T(y * K(x,z),x) = u. [para(6188(a,1),284(a,1,2))]. 6208 K(x,y * K(x,z)) * K(y * T(x,z),x) = x \ R(x,y * K(x,z),x). [para(6188(a,1),5628(a,1,2,1))]. 6210 (x * K(y,z)) \ (x * y) = y * K(z,y). [hyper(236,a,5950,a(flip),b,6190,a(flip)),flip(a)]. 6212 (x * K(y,z)) * L(y,u,w) = x * (K(y,z) * L(y,u,w)). [para(6190(a,1),444(a,1,2,1))]. 6213 L(x * y,K(y * x,z),u) = (y \ (y * x)) * y. [para(6190(a,1),4748(a,1,1,2)),flip(a)]. 6217 (x / L(y \ z,u,w)) * K(L(z / y,u,w),y) = x / L(z / y,u,w). [para(184(a,1),6197(a,1,1,2))]. 6218 (x / y) * ((y \ z) \ z) = x * K(y,y \ z). [hyper(909,a,6200,a)]. 6219 x * T(x \ y,z) = y * K(x \ y,z). [hyper(290,a,6200,a)]. 6220 T(x,(x / y) / x) = T(x,1 / y). [hyper(168,a,5372,a(flip),b,6200,a)]. 6221 (x / y) \ (x * K(y,z)) = T(y,z). [hyper(80,a,6200,a)]. 6223 (x * K(y,z)) / y = (x / y) * K(y,z). [hyper(74,a,6200,a(flip),b,6188,a)]. 6225 ((x / y) * K(y,z)) \ (x * K(y,z)) = y. [hyper(72,a,6200,a(flip),b,6188,a)]. 6226 x \ (y * K(x \ y,z)) = T(x \ y,z). [hyper(72,a,6200,a(flip),b,134,a(flip))]. 6227 (x / y) \ (x * K(y,z)) != u | T(y,z) = u. [para(6200(a,1),283(a,1,2)),flip(b)]. 6230 (x / y) * T(y,z) != u * w | (x * K(y,z)) / w = u. [para(6200(a,2),555(a,1))]. 6231 (x / y) \ T(x * K(y,z),(x / y) \ 1) = (((x / y) \ 1) \ T(y,z)) * ((x / y) \ 1). [para(6200(a,1),878(a,1,2,1))]. 6232 K(x \ 1,x) * (y * K(x,z)) = (y / x) * (1 / (1 / T(x,z))). [para(6200(a,1),3183(a,1,2))]. 6233 T(x * K(y,z),T(x / y,T(y,z))) = T((x / y) * T(y,z),x / y). [para(6200(a,1),3899(a,1,1))]. 6234 K(x,y) * T(y * x,z) = (x * y) * K(y * x,z). [para(4816(a,2),6200(a,1,1))]. 6235 L(K(x,y),x,z) = K(x,y). [hyper(4961,a,6201,a)]. 6236 K(x,y) \ (z * T(x,y)) = T(z * x,K(x,y)). [hyper(394,a,xx,b,6201,a),flip(a)]. 6239 (x * T(y,z)) / K(y,z) = x * y. [hyper(87,a,6201,a)]. 6243 R(x * y,K(y,x),K(x,z)) \ (y * T(x,z)) = K(y,x) * K(x,z). [para(6201(a,1),497(a,1,2))]. 6244 ((x * y) * T(z,u)) / ((y * z) * K(z,u)) = R(R(x,y,z),y * z,K(z,u)). [para(6201(a,1),468(a,1,1))]. 6246 (x * y) * K(y,z) = x * (y * K(y,z)). [para(4887(a,1),6201(a,2,2))]. 6247 L(K(x,y),x,z) = K(y,x) \ 1. [hyper(236,a,5093,a,b,6235,a)]. 6248 L(K(x,y),x,z) = (T(x,y) * u) / (x * u). [hyper(236,a,4871,a,b,6235,a)]. 6249 (1 / x) \ L(K(x,y),z,u) = x * L(K(x,y),z,u). [para(6235(a,1),573(a,1,2,1))]. 6253 L(K(x,y),x,z) != u | K(x,y) = u. [para(6247(a,2),5116(a,1))]. 6254 K(x,y) = (x \ T(y,x)) \ (x \ y). [hyper(80,a,6202,a),flip(a)]. 6255 x * K(y,z) != y \ z | y \ T(z,y) = x. [para(6202(a,1),20(a,1)),flip(a)]. 6256 T(x,1 / y) / ((x / y) \ x) = (x / y) * K(x,1 / y). [para(6220(a,1),5724(a,1,1))]. 6257 ((x / y) \ T(x * K(y,z),(x / y) \ 1)) / T(y,z) = K(x * K(y,z),(x / y) \ 1). [para(6221(a,1),5720(a,1,2))]. 6258 (x * y) * K(y,z) != u | x * T(y,z) = u. [para(6239(a,1),221(a,1,1)),flip(b)]. 6265 (x * K(y,z)) * (y * K(z,y)) = x * y. [para(6210(a,1),14(a,1,2))]. 6266 ((x / y) * K(y,z)) \ x = y * K(z,y). [para(16(a,1),6210(a,1,2))]. 6267 x / (y * K(z,y)) = (x / y) * K(y,z). [para(6210(a,1),279(a,1,2))]. 6268 K((x \ y) \ y,z) = T(K(x,z),y). [hyper(5714,a,6219,a),flip(a)]. 6269 K((x \ y) \ 1,z) = K(y \ x,z). [hyper(5691,a,6219,a)]. 6270 K(x / y,z) * x = x * K(y \ x,z). [hyper(5616,a,6219,a)]. 6271 T(K(x / y,z),x) = K(y \ x,z). [hyper(5418,a,6219,a)]. 6272 (x \ y) * K((x \ 1) \ (x \ y),z) = x \ T(y,z). [hyper(947,a,6219,a),flip(a)]. 6273 x \ T(x * y,z) = y * K((x \ 1) \ y,z). [hyper(941,a,6219,a)]. 6275 (x * K(y \ x,z)) / y = T(x / y,z). [hyper(74,a,6219,a(flip),b,405,a)]. 6276 x \ (((y \ (x * z)) * y) / z) = K((y / z) \ x,y). [hyper(72,a,1403,a(flip),b,6219,a(flip))]. 6277 x \ (y \ ((z \ (y * x)) * z)) = K((y \ z) \ x,z). [hyper(72,a,1235,a(flip),b,6219,a(flip))]. 6280 x \ (y * T(y \ x,z)) != u | K(y \ x,z) = u. [para(6219(a,2),283(a,1,2)),flip(b)]. 6282 L(K(x \ (y \ z),u),y \ z,y) = z \ (y * (x * T(x \ (y \ z),u))). [para(6219(a,2),104(a,1,2,2)),flip(a)]. 6283 (x * K(y \ x,z)) * (y \ 1) = T(x * (y \ 1),z). [para(6219(a,1),945(a,1,1))]. 6284 T(x,y) * T(T(x,y) \ y,z) = T(y * K(x \ y,z),y). [para(6219(a,1),1584(a,2,1))]. 6285 R(K(x \ (y / z),y / z),y / z,z) = ((x * T(x \ (y / z),y / z)) * z) / y. [para(6219(a,2),3156(a,1,1,1)),flip(a)]. 6287 K((x \ y) \ y,y) = K(x,y). [hyper(236,a,3136,a(flip),b,6268,a)]. 6288 K(T(x,x \ y),z) = T(K(x,z),y). [para(120(a,2),6268(a,1,1))]. 6289 K(x / y,x) = K(y \ x,x). [para(65(a,1),6287(a,1,1,1)),flip(a)]. 6290 (x / y) * K(y \ x,x) = T(x / y,x). [para(6289(a,1),4887(a,2,2)),flip(a)]. 6291 K(1 / (x \ y),z) = K(y \ x,z). [hyper(5393,a,6269,a)]. 6293 K(((x * y) \ x) \ 1,z) = K(y,z). [hyper(236,a,660,a(flip),b,6269,a)]. 6294 K((x * y) \ x,z) = K(y \ 1,z). [para(13(a,1),6269(a,1,1,1)),flip(a)]. 6296 K(x \ (x / y),z) = K(y \ 1,z). [para(65(a,1),6269(a,1,1,1)),flip(a)]. 6299 T(x,(y \ z) \ 1) = K(z \ y,x) \ x. [para(6269(a,1),4846(a,2,1))]. 6301 K((K(x,y) * z) \ 1,u) = K(z \ K(y,x),u). [para(5260(a,1),6269(a,1,1,1))]. 6302 x / (K(y \ z,u) * x) = K(u,(z \ y) \ 1). [para(6269(a,1),5266(a,1,2,1))]. 6303 K(L(x \ y,z,u) \ 1,w) = L(K(y \ x,w),z,u). [para(6269(a,1),5906(a,1,1)),flip(a)]. 6304 x * (y * K((x \ 1) \ y,z)) = T(x * y,z). [para(6269(a,1),5928(a,1,2,2))]. 6305 (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (x \ y)). [para(6269(a,1),5998(a,2,2))]. 6306 x * K((y * z) \ x,y) = z * ((y \ (z \ x)) * y). [para(6269(a,1),6031(a,1,2))]. 6307 x * K((y * z) \ x,z) = y * ((z \ (y \ x)) * z). [para(6269(a,1),6108(a,1,2))]. 6308 K(x,K(y,x / z)) * K(x / z,y) = K(z \ x,y). [hyper(236,a,5841,a,b,6271,a(flip)),flip(a)]. 6309 K(L(x,y,z) / u,x) = K(u \ L(x,y,z),x). [hyper(236,a,3186,a(flip),b,6271,a(flip)),flip(a)]. 6310 T(K(x,y),(z * x) / z) = K(x,y). [para(3150(a,1),6288(a,1,1)),flip(a)]. 6311 K(1 / ((x * y) \ x),z) = K(y,z). [hyper(236,a,660,a(flip),b,6291,a)]. 6312 K((x * y) \ x,z) = K(1 / y,z). [para(13(a,1),6291(a,1,1,2)),flip(a)]. 6313 K(1 / L(x \ y,z,u),w) = L(K(y \ x,w),z,u). [para(6291(a,1),6150(a,1,1)),flip(a)]. 6314 ((x * y) \ x) * T(((x * y) \ x) \ 1,z) = K(y,z). [hyper(4948,a,6293,a)]. 6316 T(((x * y) \ x) \ 1,z) = ((x * y) \ x) \ K(y,z). [hyper(72,a,6293,a(flip),b,4830,a),flip(a)]. 6318 (1 / ((x * y) \ x)) * K(y,z) = T(1 / ((x * y) \ x),z). [para(6293(a,1),4964(a,1,2))]. 6319 (((x * y) \ x) \ 1) * (z / (((x * y) \ x) \ 1)) = z * K(y,z * ((x * y) \ x)). [para(6293(a,1),6000(a,2,2))]. 6325 K(L(x \ 1,x,y),z) = K(x \ 1,z). [para(158(a,2),6294(a,1,1))]. 6327 K(x \ 1,y) * ((z * x) \ z) = T((z * x) \ z,y). [para(6294(a,1),4897(a,2,1)),flip(a)]. 6338 K(x \ 1,y) * (z \ (z / x)) = T(z \ (z / x),y). [para(6296(a,1),4897(a,2,1)),flip(a)]. 6343 T(K(x \ y,z),y / x) = K(x \ y,z). [para(14(a,1),6310(a,1,2,1))]. 6345 K((x * y) \ x,z) != u | K(y \ 1,z) = u. [para(6312(a,2),3294(a,1))]. 6346 K(L(1 / x,x,y),z) = K(x \ 1,z). [hyper(5394,a,6325,a)]. 6347 K(x \ 1,y) * L(1 / x,x,z) = L(T(1 / x,y),x,z). [para(6346(a,1),4969(a,1,1))]. 6350 R(x,y,K(y,z)) = x. [hyper(467,a,6246,a)]. 6355 (x * K(y \ z,y)) * (z / y) = x * (y \ z). [para(4903(a,1),6265(a,1,2))]. 6356 (x / (y * K(z,y))) * u != w | ((x / y) * K(y,z)) * u = w. [para(6266(a,1),290(a,1,1,2))]. 6357 (x * K(y,z)) / y = x / (y * K(z,y)). [hyper(236,a,6223,a,b,6267,a),flip(a)]. 6359 x / ((y * z) / y) = (x / z) * K(z,y). [para(4854(a,2),6267(a,1,2))]. 6360 (x / (y \ z)) * K(y \ z,y) = x / (z / y). [para(4903(a,1),6267(a,1,2)),flip(a)]. 6361 T(x,(y \ z) \ 1) = T(x,z \ y). [hyper(236,a,4846,a,b,6299,a)]. 6362 T(x,(y \ z) \ 1) != u | T(x,z \ y) = u. [para(6299(a,2),4864(a,1))]. 6363 T((x \ y) * z,y \ x) = (((x \ y) * z) \ z) \ z. [hyper(4085,a,6361,a),flip(a)]. 6365 T(x,(y * z) \ y) = T(x,z \ 1). [para(13(a,1),6361(a,1,2,1)),flip(a)]. 6366 T(x,((y * z) \ y) \ 1) = T(x,z). [para(13(a,1),6361(a,2,2))]. 6368 T(x,T(y,z) \ 1) = T(x,(y * z) \ z). [para(32(a,2),6361(a,1,2,1))]. 6369 T(x,y \ (y / z)) = T(x,z \ 1). [para(65(a,1),6361(a,1,2,1)),flip(a)]. 6370 ((x \ y) \ 1) * T(z,y \ x) = z * ((x \ y) \ 1). [para(6361(a,1),119(a,1,2))]. 6371 T(x \ y,y \ x) != z | ((x \ y) \ 1) \ 1 = z. [para(6361(a,1),375(a,1))]. 6372 T(x,R(y,z,z \ 1) \ (y * z)) = T(x,(z \ 1) \ 1). [para(391(a,1),6361(a,1,2,1)),flip(a)]. 6373 T(x,y \ z) / ((z \ y) \ x) = x / ((x \ ((z \ y) \ x)) * x). [para(6361(a,1),4210(a,1,1))]. 6374 K((x \ y) \ z,T(z,y \ x)) = K((x \ y) \ z,z). [para(6361(a,1),5309(a,1,2))]. 6375 T(x * y,y \ 1) = ((x * y) \ x) \ x. [hyper(375,a,6365,a),flip(a)]. 6376 T(x,L(1 / y,y,z)) = T(x,y \ 1). [hyper(236,a,3021,a,b,6365,a(flip)),flip(a)]. 6377 ((x * y) \ x) * T(z,y \ 1) = z * ((x * y) \ x). [para(6365(a,1),119(a,1,2))]. 6378 x / T(x * y,y \ 1) = (x * y) \ x. [para(6365(a,1),197(a,1,2))]. 6379 T(x,L(y \ 1,y,z)) = T(x,y \ 1). [para(158(a,2),6365(a,1,2))]. 6380 T(x,a(y * z,(y * z) \ y,z)) = T(x,(((y * z) \ y) * z) \ 1). [para(92(a,1),6365(a,1,2))]. 6383 T(x,L(y \ 1,y,z) \ 1) = T(x,y). [para(158(a,2),6366(a,1,2,1))]. 6385 (1 / ((x * y) \ x)) * T(z,y) = z * (1 / ((x * y) \ x)). [para(6366(a,1),3024(a,1,2))]. 6386 T(x,y \ (y / z)) = T(x,1 / z). [hyper(236,a,3019,a,b,6369,a)]. 6387 T(x,y \ (y / z)) = x * K(x,z \ 1). [hyper(236,a,4887,a(flip),b,6369,a)]. 6388 (x \ (x / y)) * T(z,y \ 1) = z * (x \ (x / y)). [para(6369(a,1),119(a,1,2))]. 6393 T(x / L(y \ 1,y,z),y \ 1) = L(y \ 1,y,z) \ x. [hyper(280,a,6379,a),flip(a)]. 6395 (x / (y * K(z,y))) * y = x * K(y,z). [para(6357(a,1),16(a,1,1))]. 6399 L(x \ 1,x,y) \ y = T(y * x,x \ 1). [hyper(236,a,708,a,b,6375,a),flip(a)]. 6400 T(x * (y / z),z / y) = ((x * (y / z)) \ x) \ x. [hyper(236,a,4187,a(flip),b,6375,a(flip)),flip(a)]. 6401 T(x * (1 / y),(1 / y) \ 1) = L(y,y \ 1,x) \ x. [para(2767(a,2),6375(a,2,1))]. 6402 (1 / x) * (((y * x) \ y) \ y) = (y * x) * (1 / x). [para(6375(a,1),3024(a,1,2))]. 6403 (x * y) / ((x * T(y,(x \ 1) \ 1)) * (x \ 1)) = ((x * y) * (x \ 1)) \ (x * y). [para(949(a,1),6378(a,1,2))]. 6404 K(x,y \ (y / z)) = K(x,z \ 1). [hyper(4954,a,6387,a)]. 6405 K(x,y \ (y / z)) = K(x,1 / z). [hyper(236,a,5223,a,b,6404,a)]. 6407 K(x,(y * z) \ y) = K(x,z \ 1). [para(15(a,1),6404(a,1,2,2))]. 6408 K(x,(y \ z) \ 1) = K(x,z \ y). [para(62(a,1),6404(a,1,2,2)),flip(a)]. 6409 K(x,((y * z) * u) \ (y * (z * u))) = K(x,a(y,z,u) \ 1). [para(135(a,1),6404(a,1,2,2))]. 6410 K(x,(K(y,z) * u) \ 1) = K(x,u \ K(z,y)). [para(5266(a,1),6404(a,1,2,2)),flip(a)]. 6411 K(x,1 / (y \ z)) = K(x,z \ y). [para(62(a,1),6405(a,1,2,2)),flip(a)]. 6412 K(x,(y * (z * u)) \ (y * z)) = K(x,1 / L(u,z,y)). [para(137(a,1),6405(a,1,2,2))]. 6413 K(x,y \ (y / z)) != u | K(x,z \ 1) = u. [para(6405(a,2),5228(a,1))]. 6415 K(x,((y \ z) \ z) \ u) = K(x,(u \ T(y,y \ z)) \ 1). [para(258(a,2),6407(a,1,2,1))]. 6416 K(x,R(y,z,z \ 1) \ y) = K(x,a(y,z,z \ 1) \ 1). [para(689(a,1),6407(a,1,2,1))]. 6418 (((x * y) \ x) * (x * y)) \ 1 = x \ K(x * y,y \ 1). [para(6407(a,1),5730(a,2,2))]. 6419 K((x \ y) \ 1,(z \ u) \ 1) = K(y \ x,u \ z). [hyper(236,a,6269,a(flip),b,6408,a)]. 6420 T(K(x,y / z),y) = K(x,z \ y). [hyper(236,a,5940,a,b,6408,a(flip)),flip(a)]. 6421 K(x,((y * z) \ y) \ 1) = K(x,z). [para(13(a,1),6408(a,2,2))]. 6422 K(x,(y \ (y / z)) \ 1) = K(x,z). [para(65(a,1),6408(a,2,2))]. 6424 x * K(y,z \ x) = z * ((y * (z \ x)) / y). [para(6408(a,1),5456(a,1,2))]. 6425 K(x,(y / z) \ 1) * z = z * K(x,y \ z). [para(6408(a,1),5787(a,2,2))]. 6426 K(x,y / z) * y = y * K(x,z \ y). [para(6408(a,1),5939(a,1,2)),flip(a)]. 6428 x * ((x \ y) * K(z,x \ y)) = y * K(z,x \ y). [para(6408(a,1),5924(a,2,2))]. 6429 (((x \ y) \ 1) \ x) * ((x \ y) \ 1) = x * K(y,y \ x). [para(6408(a,1),6016(a,2,2))]. 6431 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (x \ y),y \ x). [para(6411(a,1),6013(a,2,2))]. 6432 K(x,(y \ z) \ z) = T(K(x,y),z). [para(62(a,1),6420(a,1,1,2)),flip(a)]. 6433 T(x / y,K(z,y \ x)) = x / y. [para(6420(a,1),3151(a,1,2))]. 6434 T(x,K(y,z \ x)) != u | T(x,K(y,x / z)) = u. [para(6420(a,1),4172(a,1,2))]. 6436 K((((x * y) \ x) \ 1) \ z,((x * y) \ x) \ 1) = K(z * ((x * y) \ x),y). [hyper(236,a,6009,a,b,6421,a(flip)),flip(a)]. 6437 K(x,T(y,y \ z)) = T(K(x,y),z). [para(120(a,2),6432(a,1,2))]. 6438 K(x,T(y,z / y)) = T(K(x,y),z). [para(4149(a,2),6432(a,1,2))]. 6439 T(K(x,y),z * y) = K(x,T(y,z)). [para(4138(a,2),6432(a,1,2)),flip(a)]. 6440 T(K(x,y),y * z) = K(x,T(y,z)). [para(13(a,1),6437(a,1,2,2)),flip(a)]. 6441 T(x,K(y,T(x,z))) = x. [para(6439(a,1),3151(a,1,2))]. 6442 (x * y) * K(z,T(x,y)) = K(z,x) * (x * y). [para(6440(a,1),119(a,1,2))]. 6443 K(x * y,T(x,y)) != z | K(x * y,x) = z. [para(6440(a,1),5134(a,1))]. 6444 (x / (y / (y / z))) * z = x * K(z,z \ y). [para(4799(a,2),6395(a,1,1,2))]. 6445 (x / ((y * z) / y)) * z = x * K(z,y). [para(4854(a,2),6395(a,1,1,2))]. 6447 (x * ((y * z) / y)) * K(z,y) = x * z. [para(15(a,1),6445(a,1,1)),flip(a)]. 6448 (x * (y / z)) * K(z \ y,z) = x * (z \ y). [para(14(a,1),6447(a,1,1,2,1))]. 6449 x * K(y,z) != u * y | u * ((z * y) / z) = x. [para(6447(a,1),20(a,1)),flip(a)]. 6452 T(L(K(x,y),x,z),x * u) != w | (x * u) \ (T(x,y) * u) = w. [para(6248(a,2),280(a,1,1))]. 6454 ((x * y) * z) * K(y * z,u) != w | R(x,y,z) * T(y * z,u) = w. [para(113(a,1),6258(a,1,1))]. 6455 (x * K(y,x)) * K(x,z) != u | K(y,x) * T(x,z) = u. [para(3138(a,1),6258(a,1,1))]. 6456 K(T(x * T(x \ (y / z),u),z) \ T(x,z),w) != v5 | K(T(T(x,z) \ (z \ y),u) \ 1,w) = v5. [para(2051(a,1),6345(a,1,1,1))]. 6457 T(x,T(y,z) \ 1) != u | T(x,(y * z) \ z) = u. [para(32(a,2),6362(a,1,2,1))]. 6458 T(x,a(y,z,z \ 1) \ 1) != u | T(x,R(y,z,z \ 1) \ y) = u. [para(688(a,1),6362(a,1,2,1))]. 6459 T(x,x \ T(x * y,y \ 1)) = T(x,L(y \ 1,y,x) \ 1). [para(6399(a,1),4070(a,1,2,2))]. 6460 K(x,(y * z) \ y) != u | K(x,z \ 1) = u. [para(15(a,1),6413(a,1,2,2))]. 6462 K(x,((((y / z) \ u) * (y / z)) * z) \ y) != w | K(x,T(y \ (u * z),y / z) \ 1) = w. [para(1417(a,2),6460(a,1,2,1))]. 6463 K(x,(K(y,y \ z) * u) \ (z / y)) != w | K(x,((y \ z) \ u) \ 1) = w. [para(5524(a,1),6460(a,1,2,1))]. 6464 (((x \ y) \ y) \ L((x \ y) \ y,z,u)) * K(x,x \ y) = L((x \ y) \ y,z,u) / x. [para(4765(a,1),6196(a,1,1))]. 6466 T(x * y,K(y,z)) = y * T(x,T(y,z)). [hyper(236,a,5252,a(flip),b,6236,a(flip))]. 6467 T(x * y,K(y,z)) != u | K(z,y) * (x * T(y,z)) = u. [para(6236(a,1),5286(a,1))]. 6468 T(x * y,K(y,z)) / y = T((y * x) / y,T(y,z)). [hyper(74,a,6466,a,b,406,a)]. 6469 x * T(y / x,T(x,z)) = T(y,K(x,z)). [para(16(a,1),6466(a,1,1)),flip(a)]. 6470 T(x,y) / (z \ x) = z * K(((z \ x) \ 1) \ z,y). [hyper(236,a,4618,a(flip),b,6273,a(flip)),flip(a)]. 6471 x \ T(x * y,z) != y * u | K((x \ 1) \ y,z) = u. [para(6273(a,2),19(a,1))]. 6472 T(x * K((y \ 1) \ x,z),y) = y \ T(x * y,z). [para(6273(a,1),4635(a,1,1))]. 6473 K(T(K(x,y) * z,u) \ 1,w) = T(K(z \ K(y,x),w),u). [para(6301(a,1),5675(a,2,1))]. 6474 K(x,(y \ z) \ 1) != u | K(x,z \ y) = u. [para(6302(a,1),5272(a,1))]. 6475 K(x,L(y,z,u) \ 1) != w | K(x,(u * (z * y)) \ (u * z)) = w. [para(28(a,2),6474(a,1,2,1))]. 6476 K(x,T(y,z) \ 1) != u | K(x,(y * z) \ z) = u. [para(32(a,2),6474(a,1,2,1))]. 6477 K(x,L(y \ z,y,u) \ 1) != w | K(x,(u * z) \ (u * y)) = w. [para(105(a,2),6474(a,1,2,1))]. 6478 K(x,1 / (y \ z)) != u | K(x,z \ y) = u. [para(5223(a,2),6474(a,1))]. 6479 K(x,(K(y,z) * u) \ 1) != w | K(x,u \ K(z,y)) = w. [para(5260(a,1),6474(a,1,2,1))]. 6480 T(K(x,y / z),y) != u | K(x,z \ y) = u. [para(5940(a,2),6474(a,1))]. 6481 K(x,R(x,y,z) / u) != w | K(x,u \ R(x,y,z)) = w. [para(3275(a,1),6480(a,1))]. 6482 (x * (y \ z)) / (z / y) = x * K(y \ z,y). [hyper(87,a,6355,a)]. 6484 (x * ((y / z) / x)) * z = y * K(x,(x * z) \ y). [hyper(236,a,2164,a(flip),b,6424,a),flip(a)]. 6485 x \ (y * K(z,x \ y)) = (x \ y) * K(z,x \ y). [hyper(72,a,6424,a,b,5028,a(flip))]. 6487 ((x \ y) * z) * K(x,T(x \ y,z)) = (y / x) * z. [hyper(236,a,5568,a(flip),b,6442,a)]. 6489 x * K(y \ z,y) != u * (y \ z) | u * (z / y) = x. [para(6448(a,1),20(a,1)),flip(a)]. 6490 L(x * y,K(y * x,z),u) = x * y. [para(13(a,1),6213(a,2,1))]. 6491 (x * K(y * z,u)) * (z * y) = x * (K(y * z,u) * (z * y)). [para(6490(a,1),103(a,1,2))]. 6493 x \ (y * (z * T(z \ (y \ x),u))) != w | K((y * z) \ x,u) = w. [para(857(a,1),6280(a,1,2))]. 6494 x \ (y \ ((z \ (y * x)) * z)) != u | K((y \ z) \ x,z) = u. [para(1235(a,1),6280(a,1,2))]. 6495 K((x \ y) \ 1,z) != u | K(y \ x,z) = u. [para(5150(a,1),6280(a,1))]. 6496 K(T(x,y) \ 1,z) != u | K((x * y) \ y,z) = u. [para(32(a,2),6495(a,1,1,1))]. 6497 K(L(x \ y,x,z) \ 1,u) != w | K((z * y) \ (z * x),u) = w. [para(105(a,2),6495(a,1,1,1))]. 6498 K(1 / (x \ y),z) != u | K(y \ x,z) = u. [para(3244(a,2),6495(a,1))]. 6499 K((K(x,y) * z) \ 1,u) != w | K(z \ K(y,x),u) = w. [para(5260(a,1),6495(a,1,1,1))]. 6500 T(K(x / y,z),x) != u | K(y \ x,z) = u. [para(5690(a,2),6495(a,1))]. 6502 K(x / y,x) != z | K(y \ x,x) = z. [para(3136(a,1),6500(a,1))]. 6504 K(((x \ 1) * y) \ y,z) = T(K(x,z),y). [hyper(6496,a,5677,a)]. 6505 K((x * y) \ y,T(x,z)) = K(x \ 1,x). [hyper(6496,a,3333,a)]. 6507 K(((x * y) * z) \ (y * z),T(R(x,y,z),u)) = K(R(x,y,z) \ 1,R(x,y,z)). [para(113(a,1),6505(a,1,1,1))]. 6508 K(x * y,z) * (y * x) = K(y,x) * T(x * y,z). [hyper(4658,a,6234,a(flip))]. 6509 x \ (y \ ((z \ (y * x)) * z)) = K((z / y) \ x,z). [para(4787(a,1),6276(a,1,2))]. 6510 x * (K(y \ x,x) * (y \ 1)) = T(x * (y \ 1),x). [hyper(5593,a,6283,a)]. 6511 K((x * y) \ z,y) = K((y * x) \ z,y). [hyper(17,a,6306,a,b,6307,a)]. 6518 T(L(x \ 1,x,y) \ 1,z) = ((y * x) \ y) \ K(x,z). [para(158(a,2),6316(a,1,1,1))]. 6524 K(x \ 1,y) * ((z * x) \ z) = L(T(x \ 1,y),x,z). [hyper(236,a,351,a(flip),b,6327,a)]. 6525 K(x,y) * ((z * (1 / x)) \ z) = T((z * (1 / x)) \ z,y). [para(65(a,1),6327(a,1,1,1))]. 6526 K(T(x \ y,x) \ z,T(z,y \ T(x,x \ y))) = K((T(x,x \ y) \ y) \ z,z). [para(4109(a,1),6374(a,1,1,1))]. 6527 K(x,x \ 1) / ((y * x) \ y) = ((y * x) \ y) \ 1. [hyper(74,a,6314,a(flip),b,6377,a(flip))]. 6528 K((x * (y / z)) \ x,((x * (y / z)) \ x) \ x) = (T(x * (y / z),z / y) * ((x * (y / z)) \ x)) \ x. [para(6400(a,2),97(a,1,1,1)),flip(a)]. 6529 (((x \ y) * K(z,x \ y)) \ 1) * (((x \ y) * K(z,x \ y)) * ((y * K(z,x \ y)) \ x)) = (x * ((x \ y) * K(z,x \ y))) \ x. [para(6428(a,1),2270(a,1,2,2,1))]. 6530 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((1 / z) \ x) \ 1) \ (z \ 1),y). [para(5435(a,1),6470(a,2,2))]. 6531 K((x / y) \ z,x) = K((y \ x) \ z,x). [hyper(236,a,6277,a(flip),b,6509,a(flip))]. 6532 (1 / ((x * y) \ x)) * K(y,y \ 1) = ((x * y) \ x) \ 1. [hyper(3634,a,6527,a)]. 6533 T(x,R(y,z,z \ 1) \ (y * z)) = T(x,z). [hyper(236,a,3020,a(flip),b,6372,a)]. 6534 L(x,x \ 1,y) \ y = T(y * (1 / x),x). [para(65(a,1),6401(a,1,2)),flip(a)]. 6535 K(x,L(L(y \ 1,y,z),z * y,u)) = K(x,1 / L(y,z,u)). [para(382(a,2),6412(a,1,2))]. 6536 K(x \ 1,y) != z | K(x \ K(u \ 1,u),y) = z. [para(5436(a,1),6499(a,1))]. 6537 T(L(x \ 1,x,y) \ 1,x * L(x \ 1,z,u)) = ((y * x) \ y) \ 1. [para(1687(a,1),6518(a,2,2))]. 6538 (((x \ 1) * y) / (x \ 1)) * ((z * x) \ z) = y * L(T(x \ 1,y),x,z). [para(6524(a,1),5525(a,2,2))]. 6539 (x / y) * K(x,1 / y) = T(x,1 / y) / y. [para(65(a,1),6256(a,1,2)),flip(a)]. 6540 x \ T(x * K(y \ x,z),x) = K(T(y,x) \ x,z). [hyper(72,a,6284,a(flip),b,6219,a(flip))]. 6541 K(T(x / y,x) \ x,z) = x \ T(x * K(y,z),x). [para(65(a,1),6540(a,1,2,1,2,1)),flip(a)]. 6542 (x / L(y \ 1,y,z)) * (y \ 1) = (y \ 1) * (L(y \ 1,y,z) \ x). [para(6393(a,1),119(a,1,2)),flip(a)]. 6543 K(x,T(y,y \ z) \ u) = K(x,((y \ z) \ z) \ u). [hyper(236,a,6408,a(flip),b,6415,a),flip(a)]. 6544 K(x,L(y * ((z * y) \ z),y \ 1,z * y)) = K(x,a(z,y,y \ 1) \ 1). [para(2307(a,2),6416(a,1,2))]. 6545 x \ K(x * (y \ 1),(y \ 1) \ 1) = (y * (x / y)) \ 1. [para(6002(a,1),6418(a,1,1)),flip(a)]. 6546 (((x \ y) \ 1) \ x) \ (y * (x / y)) = (x \ y) \ 1. [hyper(72,a,5079,a(flip),b,6429,a)]. 6547 T(K(x \ K(x,y),z),y) = K(x \ 1,z). [para(4943(a,1),6473(a,1,1,1)),flip(a)]. 6548 K(x \ K(x,y),z) * y = y * K(x \ 1,z). [para(6547(a,1),119(a,1,2)),flip(a)]. 6549 T(x,y) \ T((z * (1 / x)) \ z,y) = x \ ((z * (1 / x)) \ z). [hyper(72,a,6525,a(flip),b,4857,a)]. 6550 T((x * (1 / y)) \ x,z) != u | T(K(y,z),(x * (1 / y)) \ x) = ((x * (1 / y)) \ x) \ u. [para(6525(a,1),207(a,1))]. 6551 (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = (1 / ((x * y) \ x)) / y. [hyper(74,a,6532,a(flip),b,6218,a)]. 6552 x \ K(x * (y \ 1),y) = (y * (x / y)) \ 1. [para(5233(a,1),6545(a,1,2))]. 6553 (x * (y / x)) \ 1 = y \ K(x \ y,x). [para(6008(a,1),6552(a,1,2)),flip(a)]. 6554 L(x \ 1,x,y * K(x,z)) != u | L(x \ 1,T(x,z),y) = u. [para(6205(a,2),5065(a,1))]. 6555 K(x,L(y \ L(y,z,u),y,u * z)) = K(x,a(u,z,y) \ 1). [para(461(a,2),6409(a,1,2))]. 6556 T(x,x \ T(x * y,y \ 1)) = T(x,y). [hyper(236,a,6383,a(flip),b,6459,a)]. 6558 T(x / y,(x / y) \ T(x,y \ 1)) = T(x / y,y). [para(16(a,1),6556(a,1,2,2,1))]. 6559 T(x / y,(x / y) \ T(x,y \ 1)) = y \ x. [hyper(236,a,121,a(flip),b,6558,a)]. 6560 K((x / y) \ z,x) != u | K((y \ x) \ z,x) = u. [para(6509(a,1),6494(a,1))]. 6561 K(x,L(L(1 / y,y,z),z * y,u)) = K(x,1 / L(y,z,u)). [hyper(236,a,5246,a,b,6535,a(flip)),flip(a)]. 6562 (x / y) * (1 / (1 / T(y,z))) = x * ((y \ 1) * T(y,z)). [hyper(236,a,5674,a(flip),b,6232,a(flip))]. 6563 (x / y) * T(1 / (1 / y),z) = x * ((y \ 1) * T(y,z)). [para(2482(a,1),6562(a,1,2))]. 6564 (x * K(y * z,u)) * (z * y) = x * (K(z,y) * T(y * z,u)). [para(6508(a,1),6491(a,2,2))]. 6565 L(K(x \ y,z),y,u) = K((u * x) \ (u * y),z). [hyper(6497,a,6303,a),flip(a)]. 6566 L(K(x \ y,z),y,u) != w | K((u * x) \ (u * y),z) = w. [para(6303(a,1),6497(a,1))]. 6568 L(K((x \ y) \ z,u),z,x) = K(y \ (x * z),u). [para(14(a,1),6565(a,2,1,1))]. 6569 L(K(x \ (y \ z),u),y \ z,y) = K((y * x) \ z,u). [para(14(a,1),6565(a,2,1,2))]. 6570 K((x * (y / z)) \ (x * y),u) = L(K(z,u),y,x). [para(65(a,1),6565(a,1,1,1)),flip(a)]. 6571 L(K(x \ T(y,z),u),T(y,z),z) = K((z * x) \ (y * z),u). [para(119(a,1),6565(a,2,1,2))]. 6572 L(K(x \ y,z),y,u) = K(L(x \ y,x,u),z). [para(105(a,2),6565(a,2,1))]. 6573 L(K((K(x,y) * z) \ u,w),u,K(y,x)) = K(z \ (K(y,x) * u),w). [para(5268(a,1),6565(a,2,1,1))]. 6574 L(K(L(x,y,z) \ x,u),x,z * y) = K(a(z,y,x),u). [para(1566(a,2),6572(a,2,1))]. 6575 L(K(x \ y,z),y,x \ 1) = K((1 / x) * y,z). [para(2920(a,1),6572(a,2,1))]. 6576 (x * y) * K(z \ (x * y),u) = x * (y * K((x \ z) \ y,u)). [para(6568(a,1),103(a,1,2))]. 6577 K(L(x,y / x,z),u) = L(K(x,u),y,z). [hyper(236,a,743,a,b,6570,a(flip)),flip(a)]. 6578 K(L(x,y / x,z),u) = (z * y) \ (z * (y * K(x,u))). [hyper(236,a,28,a(flip),b,6577,a)]. 6579 L(K(x,y),z * x,u) = K(L(x,z,u),y). [para(15(a,1),6577(a,1,1,2)),flip(a)]. 6580 K(x,L(y,z / y,u)) = L(K(y,x),z,u) \ 1. [para(6577(a,1),5093(a,1,1)),flip(a)]. 6581 (x * (y * z)) / K(L(y,z,x),z) = x * (z * y). [para(6579(a,1),495(a,1,2))]. 6582 K(x,L(y,z / y,u)) = L(K(x,y),z,u). [hyper(236,a,6040,a(flip),b,6580,a)]. 6583 K(x,L(y,z / y,u)) != w | L(K(x,y),z,u) = w. [para(6580(a,2),6042(a,1))]. 6584 L(K(x,y),z * y,u) = K(x,L(y,z,u)). [para(15(a,1),6582(a,1,2,2)),flip(a)]. 6585 L(K(x,y \ z),z,u) = K(x,L(y \ z,y,u)). [para(62(a,1),6582(a,1,2,2)),flip(a)]. 6586 (x * y) * K(z,L(u,y / u,x)) = x * (y * K(z,u)). [para(6582(a,2),103(a,1,2))]. 6588 K(x,(y * ((y \ z) / u)) \ z) = L(K(x,u),y \ z,y). [para(511(a,1),6582(a,1,2))]. 6589 L(K(x,y),z * T(y,u),w) = K(x,L(y,z * K(y,u),w)). [para(6194(a,1),6582(a,1,2,2)),flip(a)]. 6590 K(1 / x,L(x,y,z)) = K(1 / x,x). [hyper(236,a,4550,a(flip),b,6584,a(flip))]. 6591 K(x,L(1 / y,y,z)) = K(x,1 / y). [hyper(236,a,4534,a(flip),b,6584,a(flip))]. 6592 K(1 / L(x,y,z),L(x,u,w)) = L(K(1 / x,x),y,z). [para(6590(a,1),6150(a,1,1)),flip(a)]. 6593 L(K(x,y \ z),z,u) = K(x,(u * y) \ (u * z)). [para(105(a,1),6585(a,2,2))]. 6594 L(K(x,y \ (z \ u)),z \ u,z) = K(x,(z * y) \ u). [para(227(a,1),6585(a,2,2))]. 6595 L(K(x,(y \ z) \ u),u,y) = K(x,z \ (y * u)). [para(450(a,1),6585(a,2,2))]. 6596 L(K(x \ y,z),y,x \ 1) != u | K((x \ 1) * y,z) = u. [para(6575(a,2),5634(a,1))]. 6597 K(x,L(y \ z,y,u)) != w | L(K(x,y \ z),z,u) = w. [para(62(a,1),6583(a,1,2,2))]. 6598 K(x,(y * z) \ (y * x)) = K(x,z \ x). [hyper(6253,a,6593,a),flip(a)]. 6599 K(x,(y * z) \ (y * x)) != u | K(x,z \ x) = u. [para(6593(a,1),6253(a,1))]. 6600 K(x,(y \ z) \ x) = K(x,z \ (y * x)). [para(14(a,1),6598(a,1,2,1)),flip(a)]. 6601 K(x \ y,(x * z) \ y) = K(x \ y,z \ (x \ y)). [para(14(a,1),6598(a,1,2,2))]. 6602 K(x,(y \ 1) \ x) = K(x,y * x). [para(125(a,1),6598(a,1,2)),flip(a)]. 6603 T(x,(y * z) \ (y * x)) = x * K(x,z \ x). [para(6598(a,1),4887(a,2,2))]. 6604 K(x,(K(y,z) * u) \ x) = K(x,u \ (K(z,y) * x)). [para(5268(a,1),6598(a,1,2,1)),flip(a)]. 6605 K(x,y * x) = K(x,x * y). [hyper(236,a,5636,a(flip),b,6602,a(flip))]. 6606 K(x,x * (y / x)) = K(x,y). [para(16(a,1),6605(a,1,2)),flip(a)]. 6607 K(x * (y * z),a(x,y,z) * (x * (y * z))) = K(x * (y * z),(x * y) * z). [para(91(a,1),6605(a,2,2))]. 6610 T(x,(y * z) \ (y * x)) = T(x,z \ x). [hyper(236,a,4887,a,b,6603,a)]. 6611 T(x,(y \ z) \ x) = T(x,z \ (y * x)). [para(14(a,1),6610(a,1,2,1)),flip(a)]. 6612 K((x \ y) \ z,u \ (x * z)) = K(y \ (x * z),(x \ u) \ z). [hyper(236,a,6568,a(flip),b,6595,a(flip))]. 6613 L(T(K(x,(y \ z) \ u),w),u,y) = T(K(x,z \ (y * u)),w). [para(6595(a,1),40(a,2,1))]. 6614 K(x,y \ (z * K(u,z))) != w | K(x,(z \ y) \ K(u,z)) = w. [para(6595(a,1),5596(a,1)),flip(b)]. 6615 x * ((x \ y) * K(z \ (x \ y),u)) = y * K((x * z) \ y,u). [para(6569(a,1),433(a,1,2)),flip(a)]. 6616 L(K((x \ y) \ (z \ u),y),z \ u,z) = K((z * (y / x)) \ u,y). [para(6531(a,1),6569(a,1,1))]. 6617 K(L(x,y / x,z),u) != w | L(K(x,u),y,z) = w. [para(6578(a,2),447(a,1))]. 6618 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(u * K(z,y)) \ w). [para(5266(a,1),6588(a,1,2,1,2)),flip(a)]. 6619 K(1 / L(x,y,z),L(x,u,w)) = K(1 / x,x). [hyper(236,a,4550,a(flip),b,6592,a)]. 6621 L(x,y,z) * K(1 / x,x) = 1 / (1 / L(x,y,z)). [para(6619(a,1),1805(a,1,2))]. 6622 K(x,(y * z) \ (y * u)) != w | L(K(x,z \ u),u,y) = w. [para(105(a,1),6597(a,1,2))]. 6624 L(K(x,y),z,u) != w | K((u * (z / x)) \ (u * z),y) = w. [para(65(a,1),6566(a,1,1,1))]. 6625 (K(x,y) * K(x * y,z)) * (y * x) = T(x * y,z). [hyper(236,a,5268,a(flip),b,6564,a)]. 6626 (x * y) * z != x * (y * K((x \ u) \ y,w)) | K(u \ (x * y),w) = z. [para(6576(a,1),19(a,1)),flip(a)]. 6627 K((x \ 1) \ y,z \ (x * y)) = K(x * y,(x \ z) \ y). [para(50(a,1),6612(a,2,1))]. 6628 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(1493(a,1),6612(a,2,1))]. 6629 K((x \ (y * z)) \ 1,y) = K((y / (z \ 1)) \ x,y). [hyper(6170,a,6269,a)]. 6630 K((x / (y \ 1)) \ z,x) = K((x * y) \ z,x). [hyper(6495,a,6629,a),flip(a)]. 6631 K((x * (y / z)) \ u,y) = K((x * (z \ y)) \ u,y). [hyper(236,a,6569,a(flip),b,6616,a(flip))]. 6632 K((x * (y / x)) \ z,y) = K(y \ z,y). [para(14(a,1),6631(a,2,1,1))]. 6633 K((x * y) \ z,y * x) = K((y * x) \ z,y * x). [para(15(a,1),6632(a,1,1,1,2))]. 6634 L(K(x,K(y \ 1,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w). [para(6049(a,2),6618(a,2,2,1))]. 6635 L(K(x,K(y,z \ 1) * (u \ w)),u \ w,u) = K(x,(K(z \ K(z,u),y) * u) \ w). [para(6548(a,2),6618(a,2,2,1))]. 6636 a(x,y,z) \ K(a(x,y,z),z \ L(z,y,x)) = 1 / a(x,y,z). [para(4899(a,2),1823(a,1,2))]. 6637 K(x,y) / R(x,y,y \ 1) = 1 / ((y * x) * (y \ 1)). [para(6014(a,1),5333(a,1,1))]. 6638 1 / ((x * (L(x,y,z) \ 1)) * (x \ 1)) = L(x,y,z). [hyper(236,a,4445,a(flip),b,6637,a(flip))]. 6639 1 / ((L(x,y,z) \ x) * (x \ 1)) = L(x,y,z). [para(1211(a,1),6638(a,1,2,1))]. 6640 (L(x,y,z) \ x) * (x \ 1) = L(x,y,z) \ 1. [para(6639(a,1),65(a,1,1)),flip(a)]. 6641 (L(1 / x,y,z) \ 1) / x = L(1 / x,y,z) \ (1 / x). [hyper(312,a,6640,a)]. 6642 (L(x,y,z) \ x) \ (L(x,y,z) \ 1) = x \ 1. [hyper(80,a,6640,a)]. 6644 (x * K(y,z \ 1)) * z = (x * z) * K(y,z \ 1). [para(5454(a,1),5460(a,1,1))]. 6648 (x * (y \ 1)) * K(z,(y \ 1) \ 1) = (x * K(z,y)) * (y \ 1). [para(5233(a,1),6644(a,1,1,2)),flip(a)]. 6649 (x * K(y,z)) * (z \ 1) = (x * (z \ 1)) * K(y,z). [para(5233(a,1),6648(a,1,2)),flip(a)]. 6650 (K(x,y) * (((1 / x) * z) * T(((1 / x) * z) \ z,u))) / (K(x,y) * z) = K((1 / x) \ 1,u). [para(6117(a,1),5680(a,2,1,1))]. 6651 K((T(x,y) \ T(z,y)) \ 1,x) = K((x \ z) \ 1,T(x,y)). [hyper(236,a,5814,a(flip),b,5685,a(flip))]. 6652 K((T(x,y) \ T(z,y)) \ 1,x) = K(z \ x,T(x,y)). [hyper(236,a,6269,a(flip),b,6651,a)]. 6653 K(T(x,y) \ T(z,y),z) = K(x \ z,T(z,y)). [hyper(6495,a,6652,a)]. 6654 K(x,T(y,z) \ T(x,z)) = 1 / K(y \ x,T(x,z)). [para(6653(a,1),5102(a,1,2)),flip(a)]. 6655 T(x,y) \ T(x * K(z \ x,T(x,u)),y) != w | K(T(z,u) \ T(x,u),T(x,y)) = w. [para(6653(a,1),5755(a,1,2,1,2))]. 6657 K(x,T(y,z) \ T(x,z)) != u | K(T(x,z),y \ x) = u. [para(6654(a,2),5106(a,1))]. 6658 (x * (y * ((x \ z) / y))) / z = K(y,((x * y) / z) \ 1). [para(14(a,1),5922(a,1,1,2,2,1))]. 6659 (x * (y * ((x \ z) / y))) / z = K(y,z / (x * y)). [hyper(236,a,5795,a(flip),b,6658,a)]. 6660 (x * (y * ((x \ z) / y))) / z != u | K(y,z / (x * y)) = u. [para(6658(a,2),5871(a,1))]. 6661 R(K(x,(y / z) / (u * x)),y / z,z) = ((u * (x * ((u \ (y / z)) / x))) * z) / y. [para(6659(a,1),485(a,1,1))]. 6662 T(x \ y,z) * (y \ (x * K(z,x \ y))) = T((x \ y) * (y \ x),z). [para(6056(a,1),14(a,1,2))]. 6664 K(L(x,y,z) \ 1,L(x,u,w)) = K(x \ 1,L(x,v5,v6)). [hyper(6086,a,6090,a)]. 6665 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) = x * T(L(x,u,w) \ 1,x). [para(6664(a,1),2567(a,1,1))]. 6666 K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / ((L(x,w,v5) \ 1) \ 1). [para(6664(a,1),2784(a,1,1))]. 6667 (x * K(y,z)) * (1 / (x * K(y,z))) = K(x * K(y,z),x \ K(z,y)). [para(6097(a,1),14(a,1,2))]. 6668 x / (T(x,y) \ ((x \ 1) \ 1)) = (1 / (1 / x)) / K(y,x). [para(4828(a,2),6099(a,1,2)),flip(a)]. 6669 x / (T(x,y) \ ((x \ 1) \ 1)) = T(1 / (1 / x),y). [hyper(236,a,5247,a(flip),b,6668,a)]. 6670 x / (x * (1 / T(x,y))) = T(1 / (1 / x),y). [para(3312(a,1),6669(a,1,2))]. 6671 T(1 / (1 / x),y) \ x = x * (1 / T(x,y)). [para(6670(a,1),65(a,1,1))]. 6672 K((((x \ y) * z) / (y * z)) \ 1,u) = R(K(x,u),y,z). [para(3968(a,1),6111(a,1,1)),flip(a)]. 6673 K((x * y) / ((z \ x) * y),u) = R(K(z,u),x,y). [hyper(5825,a,6672,a)]. 6675 R(K(x / y,z),x,u) = K((x * u) / (y * u),z). [para(65(a,1),6673(a,1,1,2,1)),flip(a)]. 6676 K(R(x,x \ y,z),u) = R(K(x,u),y,z). [para(110(a,2),6673(a,1,1))]. 6677 K(R(x,x \ 1,y),z) = K(x,z). [hyper(236,a,338,a(flip),b,6676,a)]. 6678 R(K(x,y),x * z,u) = K(R(x,z,u),y). [para(13(a,1),6676(a,1,1,2)),flip(a)]. 6679 K(R(x,x \ y,z),u) * (y * z) = (K(x,u) * y) * z. [para(6676(a,2),113(a,1,1))]. 6680 K(R(x,K(x,y) * (x \ z),u),w) = R(K(x,w),K(x,y) * z,u). [para(5195(a,1),6676(a,1,1,2))]. 6681 K(R(x,y,z),x \ 1) = K(x,x \ 1). [hyper(236,a,3587,a(flip),b,6678,a(flip))]. 6682 R(R(K(x,y),z,u),x * w,v5) = R(K(R(x,w,v5),y),z,u). [para(6678(a,1),46(a,1,1)),flip(a)]. 6683 R(x,y,z) * (1 / R(x,y,z)) = K(x,x \ 1). [hyper(236,a,3566,a,b,6681,a(flip)),flip(a)]. 6684 R(x,y,z) \ K(x,x \ 1) = 1 / R(x,y,z). [hyper(72,a,6681,a(flip),b,3566,a)]. 6686 (1 / x) * (R(x,y,z) \ x) = 1 / R(x,y,z). [hyper(17,a,3624,a,b,6683,a),flip(a)]. 6687 (R(x,y,z) \ 1) * ((x \ 1) \ 1) = (1 / R(x,y,z)) * x. [para(6684(a,1),4580(a,1,1)),flip(a)]. 6688 (1 / x) \ (1 / R(x,y,z)) != u | R(x,y,z) \ x = u. [para(6686(a,1),283(a,1,2)),flip(b)]. 6689 R(K(x / (y / z),u),x,z) = K((x * z) / y,u). [para(16(a,1),6675(a,2,1,2))]. 6690 (x \ R(x,y,z)) \ 1 = R(x,y,z) \ x. [hyper(6688,a,4712,a),flip(a)]. 6691 (x \ 1) \ (R(x,y,z) \ 1) = R(x,y,z) \ x. [hyper(6688,a,4711,a),flip(a)]. 6693 K(x,(R(y,z,u) \ y) \ x) = K(x,x * (y \ R(y,z,u))). [para(6690(a,1),5636(a,1,2,1))]. 6694 K(x,(T(y \ z,z) / z) \ 1) = T(K(x,y) * z,z) / z. [para(5202(a,1),6113(a,1,1,1)),flip(a)]. 6695 K(x,(T(y \ z,z) / z) \ 1) = z \ T(z * K(x,y),z). [hyper(236,a,4616,a(flip),b,6694,a)]. 6696 K(x,y / T(z \ y,y)) = y \ T(y * K(x,z),y). [hyper(5871,a,6695,a)]. 6697 K(x,T(y / z,y) \ y) = y \ T(y * K(x,z),y). [para(4363(a,1),6696(a,1,2))]. 6698 K(T(x / y,x) \ x,z) = K(y,T(x / z,x) \ x). [hyper(236,a,6541,a,b,6697,a),flip(a)]. 6699 L(T(1 / x,y),y,K(x,z)) = T(1 / x,K(x,z) * y). [hyper(718,a,6118,a)]. 6700 L(T(K(x,y),z),z,K(x,u)) = K(T(1 / x,K(x,u) * z) \ 1,y). [para(6699(a,1),5910(a,1,1,1)),flip(a)]. 6701 L(T(K(x,y),z),z,K(x,u)) = T(K(x,y),K(x,u) * z). [hyper(236,a,5676,a(flip),b,6700,a)]. 6702 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(6701(a,1),721(a,1,2,1)),flip(a)]. 6703 L(K(x,y) * z,x \ 1,x) = T(x,y) * ((x \ 1) * z). [hyper(6125,a,4856,a)]. 6704 T(x,y) * ((x \ 1) * (K(y,x) * z)) = L(z,x \ 1,x). [para(5268(a,1),6703(a,1,1)),flip(a)]. 6705 (L(x,y,z) \ 1) * T(x,x \ 1) = (x \ 1) \ (L(x,y,z) \ 1). [para(5954(a,1),6159(a,1,2)),flip(a)]. 6706 (x \ 1) \ (L(x,y,z) \ 1) = L(x,y,z) \ x. [hyper(236,a,4692,a(flip),b,6705,a(flip))]. 6708 (x \ 1) * (L(x,y,z) \ x) = L(x,y,z) \ 1. [para(6706(a,1),14(a,1,2))]. 6709 (x \ L(x,y,z)) \ (x \ 1) = (x \ 1) * (L(x,y,z) \ x). [hyper(236,a,6168,a,b,6708,a),flip(a)]. 6710 (x \ L(x,y,z)) \ 1 = L(x,y,z) \ x. [hyper(2315,a,6709,a)]. 6711 (x \ L(x,y,z)) * (L(x,y,z) \ x) != u | 1 = u. [para(6710(a,1),216(a,1,2)),flip(b)]. 6712 ((x \ 1) * (L(x \ 1,x,y) \ z)) / (1 / x) = (z / L(x \ 1,x,y)) * K(x \ 1,x). [hyper(74,a,6542,a(flip),b,6355,a)]. 6714 (x * y) \ (x * (y * (z * K(1 / u,u)))) = L(z,y,x) * K(1 / u,u). [para(4495(a,1),4735(a,1,2,2))]. 6715 L(T(x,y),T(z,x),K(x,z)) * z = K(x,z) * (T(x,y) * T(z,x)). [para(4826(a,2),4867(a,1,1,3))]. 6716 K(x,y) * (T(x,z) * T(y,x)) = T(x,z) * y. [para(5585(a,1),6715(a,1,1)),flip(a)]. 6717 K(x,y) * (K(x,z) * (y * x)) = T(x,z) * y. [para(5180(a,2),6716(a,1,2))]. 6719 R(x * K(y,x),y,L(x,z,u)) = x * K(y * L(x,z,u),x). [hyper(5070,a,5046,a)]. 6720 T(x * K(y * L(x,z,u),x),y) = R(x,y,L(x,z,u)). [para(5046(a,1),746(a,2,1)),flip(a)]. 6721 T(x,y) * K(y * L(x,z,u),T(x,y)) = R(x,y,L(x,z,u)). [hyper(236,a,5493,a,b,6720,a(flip)),flip(a)]. 6722 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = (x * (y * K(z * L(y,u,w),y))) / (y * K(z,y)). [para(6719(a,1),1918(a,1,1,2)),flip(a)]. 6723 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(y \ (y * x),w),y,R(x,z,u)). [para(5048(a,1),919(a,1,1,1))]. 6724 (x * y) * (z \ T(z * L(y \ (z \ 1),y,x),u)) = (x * K(y \ 1,u)) * (z \ 1). [para(877(a,1),5168(a,1,2))]. 6726 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(u,z,x * K(y,x)). [para(5574(a,1),5588(a,1,2))]. 6727 K(x,((y \ 1) * (y * z)) \ u) != w | K(x,L(z,y,y \ 1) \ u) = w. [para(6087(a,1),5272(a,1))]. 6728 K(x,y * (((1 / z) * u) * w)) = K(x,y * (((z \ 1) * u) * w)). [para(2973(a,1),6134(a,1,2,2,1)),flip(a)]. 6729 K(x,y * ((((K(z,u) / z) \ 1) * u) * w)) = K(x,y * ((u * (1 / (1 / z))) * w)). [para(5660(a,1),6728(a,1,2,2,1)),flip(a)]. 6730 (x / L(y \ 1,y,z)) * K(y \ 1,y) = x / L(1 / y,y,z). [para(6346(a,1),6217(a,1,2))]. 6731 L(K(x \ (y \ z),u),y \ z,y) != w | K((y * x) \ z,u) = w. [para(6282(a,2),6493(a,1))]. 6732 (((x \ 1) * y) / (x \ 1)) * ((z * x) \ z) != u | L(x \ 1,x,z) * y = u. [para(6538(a,2),369(a,1))]. 6733 K(x \ 1,L(x,y,z)) * (x / L(x,u,w)) != v5 | (L(x,u,w) \ 1) * x = v5. [para(6665(a,2),220(a,1))]. 6735 K(x \ 1,L(x,y,z)) * (u / L(x,w,v5)) = u / L((x \ 1) \ 1,w,v5). [para(2706(a,2),6666(a,2,2))]. 6736 L(x * K(1 / y,y),z,u) = L(x,z,u) * K(1 / y,y). [hyper(447,a,6714,a)]. 6738 L((x \ 1) \ 1,y,z) * K(1 / x,x) = L(x,y,z). [para(4923(a,1),6736(a,1,1)),flip(a)]. 6741 L(x * K(y \ z,z \ y),u,w) = L(x,u,w) * K(y \ z,z \ y). [para(2282(a,1),4775(a,1,1,2))]. 6742 K(x \ y,L(y \ x,z,u)) = K(x \ y,y \ x). [hyper(17,a,5656,a,b,6741,a(flip)),flip(a)]. 6744 K(x \ (y \ 1),(y \ 1) \ x) = K(x \ (y \ 1),y * x). [para(451(a,1),6742(a,1,2)),flip(a)]. 6745 K(x \ L(x,y,z),L(x,y,z) \ x) = K(x \ L(x,y,z),a(z,y,x)). [para(1566(a,2),6742(a,1,2)),flip(a)]. 6746 ((x \ (y * K(z,x))) * x) / K(z,x) = T(x,z) * T(T(x,z) \ y,x). [para(4840(a,2),4926(a,2,2,1,1))]. 6747 T(x,x \ y) \ R(T(x,x \ y),z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(72,a,4932,a(flip),b,4859,a),flip(a)]. 6748 L(L(x,y,z),z * y,K(z,u)) = (T(z,u) * y) \ (T(z,u) * (y * x)). [para(4906(a,1),5257(a,1,2)),flip(a)]. 6749 L(L(x,y,z),z * y,K(z,u)) = L(x,y,T(z,u)). [hyper(236,a,28,a,b,6748,a)]. 6750 L(L(x,y,z),z * y,K(z,u)) != w | L(x,y,T(z,u)) = w. [para(6748(a,2),447(a,1))]. 6751 K(x,x \ y) * K(z,y / (y / x)) = T(y / (y / x),z) \ x. [para(5002(a,1),5664(a,1,1))]. 6752 L(x,y,z * (T(1 / (1 / z),u) \ K(w,z))) = L(x,y,K(w,z) * K(u,z)). [para(3299(a,1),5869(a,1,3))]. 6754 (T(x * y,z) / y) * (x \ 1) = (1 / y) * (x \ T(x * y,z)). [para(1590(a,1),6135(a,1,1))]. 6755 (1 / x) * ((x \ y) \ T((x \ y) * x,z)) = (x \ T(y,z)) * ((x \ y) \ 1). [para(4620(a,1),6754(a,1,1)),flip(a)]. 6756 (1 / x) * K(((1 / x) \ y) \ 1,z) = K((y * x) \ 1,z) / x. [para(65(a,1),6137(a,1,1,1,1,2)),flip(a)]. 6757 (1 / x) * K(y \ (1 / x),z) = K((y * x) \ 1,z) / x. [para(6269(a,1),6756(a,1,2))]. 6758 K((x * y) \ 1,x * y) = K(x \ (1 / y),x * y). [hyper(17,a,3659,a,b,6757,a),flip(a)]. 6759 (1 / x) * K(y \ (x \ 1),z) = K((y * x) \ 1,z) / x. [para(5435(a,1),6757(a,1,2))]. 6760 K((x * (y \ 1)) \ 1,x * (y \ 1)) = K(x \ y,x * (y \ 1)). [para(62(a,1),6758(a,2,1,2))]. 6761 (x * K((y / x) \ 1,y / x)) * (x \ 1) = K(y \ x,y * (x \ 1)). [hyper(236,a,3534,a,b,6760,a(flip)),flip(a)]. 6762 (x * K(y \ x,x \ y)) * (x \ 1) = K(y \ x,y * (x \ 1)). [para(4008(a,1),6761(a,1,1,2))]. 6763 K(x \ y,x * (y \ 1)) = K(x \ y,y \ x). [hyper(3710,a,6762,a),flip(a)]. 6764 K(x \ (y \ 1),x * T(y,y \ 1)) = K(x \ (y \ 1),(y \ 1) \ x). [para(120(a,2),6763(a,1,2,2))]. 6765 K(x \ (y \ 1),(y \ 1) \ x) = K(x \ (1 / y),x * y). [hyper(5889,a,6764,a),flip(a)]. 6766 K(x \ (1 / y),x * y) = K(x \ (y \ 1),y * x). [hyper(236,a,6744,a(flip),b,6765,a(flip))]. 6767 K((x * y) \ 1,x * y) = K(x \ (y \ 1),y * x). [hyper(236,a,6758,a,b,6766,a(flip)),flip(a)]. 6768 R(R(x,y,z),y * z,K(z,u)) = ((x * y) * T(z,u)) / (y * T(z,u)). [para(6201(a,1),6244(a,1,2)),flip(a)]. 6769 R(R(x,y,z),y * z,K(z,u)) != w | R(x,y,T(z,u)) = w. [para(6768(a,2),475(a,1))]. 6770 R(R(x,y * z,K(z,u)),y,z) = R(x,y,T(z,u)). [hyper(6769,a,46,a),flip(a)]. 6771 K((((x * y) \ x) \ 1) \ z,y) = K(z * ((x * y) \ x),y). [hyper(236,a,6421,a(flip),b,6436,a(flip)),flip(a)]. 6773 T(x,y) / ((1 / z) \ x) = (1 / z) * K((((z \ 1) \ x) \ 1) \ (z \ 1),y). [para(5744(a,1),6530(a,2,2))]. 6775 x / L((x \ 1) \ 1,y,z) = (L(x,y,z) \ 1) * x. [hyper(6733,a,6735,a),flip(a)]. 6776 ((L(x,y,z) \ 1) * x) \ x = L((x \ 1) \ 1,y,z). [para(6775(a,1),65(a,1,1))]. 6777 (x \ T(y,x)) * ((x \ y) \ 1) = (1 / x) * ((y * x) / y). [para(4666(a,1),6755(a,1,2)),flip(a)]. 6778 K(x,y) = (y \ T(x,y)) * ((y \ x) \ 1). [hyper(236,a,5049,a,b,6777,a),flip(a)]. 6779 (x \ T(x * y,x)) * (y \ 1) = K(x * y,x). [para(13(a,1),6778(a,2,2,1)),flip(a)]. 6780 (x \ T(x * K(y,z),x)) * (K(z,y) * 1) = K(x * K(y,z),x). [para(5260(a,1),6779(a,1,2))]. 6781 K(x,T(y / z,y) \ y) * (K(z,x) * 1) = K(y * K(x,z),y). [para(6697(a,2),6780(a,1,1))]. 6782 K(x,T(y / z,y) \ y) * K(z,x) = K(y * K(x,z),y). [para(12(a,1),6781(a,1,2))]. 6783 T(x,y) / ((1 / z) \ x) = K(((((z \ 1) \ x) \ 1) * z) \ 1,y) / z. [hyper(236,a,6759,a(flip),b,6773,a)]. 6784 (x * y) * (z * (L(y \ 1,y,x) / z)) = (x * y) * (z * (((x * y) \ x) / z)). [hyper(236,a,4659,a(flip),b,4672,a(flip))]. 6785 R((x \ (1 / y)) * x,y,z) * (y * z) = (y * z) * ((x \ ((y * z) \ z)) * x). [para(3725(a,2),4674(a,1,1))]. 6786 (x \ (y * 1)) \ ((y \ x) \ 1) = (1 / (y \ x)) * (1 / (x \ y)). [hyper(236,a,3403,a(flip),b,4782,a(flip))]. 6787 (1 / (x \ y)) * (1 / (y \ x)) = (y \ x) \ ((x \ y) \ 1). [para(12(a,1),6786(a,1,1,2)),flip(a)]. 6788 ((x * y) * z) * a(z * K(x * y,z),x,y) = (x * y) * R(z,x,y). [hyper(5045,a,5069,a(flip)),flip(a)]. 6789 ((x * y) * z) \ ((x * y) * R(z,x,y)) != u | a(z * K(x * y,z),x,y) = u. [para(6788(a,1),283(a,1,2)),flip(b)]. 6790 K(x,R(y,z,u) \ 1) * (z * u) = (K(x,y \ 1) * z) * u. [para(5458(a,1),5461(a,2,1))]. 6791 R(K(x,y \ 1),z,u) = K(x,R(y,z,u) \ 1). [hyper(18,a,113,a,b,6790,a),flip(a)]. 6792 K(x,R(y,x,z) \ 1) = K(x,y \ 1). [hyper(18,a,3971,a(flip),b,6790,a)]. 6793 K(x,R(x,y,z) \ 1) = K(x,x \ 1). [hyper(18,a,3584,a(flip),b,6790,a)]. 6794 K(x,R(R(y,x,z),u,w) \ 1) = K(x,R(y,u,w) \ 1). [para(46(a,1),6792(a,1,2,1))]. 6795 K(x \ R(x,y,z),x) = (u \ K(u,R(u,w,v5) \ 1)) * u. [para(6793(a,2),3701(a,2,1,2))]. 6797 K(x,R(y \ 1,z,u) \ 1) = R(K(x,y),z,u). [para(5233(a,1),6791(a,1,1)),flip(a)]. 6798 K(x,R(y / z,u,w) \ 1) = R(K(x,z / y),u,w). [para(5795(a,1),6791(a,1,1)),flip(a)]. 6799 K(x,R(y \ z,u,w) \ 1) = R(K(x,z \ y),u,w). [para(6408(a,1),6791(a,1,1)),flip(a)]. 6800 T(x,R(y \ 1,z,u) \ 1) = x * R(K(x,y),z,u). [para(6797(a,1),4887(a,2,2))]. 6801 R(K(x,y),z,u) \ w = R(K(y,x),z,u) * w. [para(6797(a,1),5905(a,1,1)),flip(a)]. 6802 R(K(x,y),z,u) \ 1 = R(K(y,x),z,u). [hyper(4036,a,6801,a)]. 6803 (x * y) / ((K(z,u) * x) * y) = R(K(u,z),x,y). [hyper(571,a,6801,a)]. 6804 R(K(x,y),z,u) \ (z * u) = (K(y,x) * z) * u. [hyper(512,a,6801,a)]. 6805 R(K(x,y),y / x,z) * ((y / T(x,y)) * z) = (y / x) * z. [hyper(236,a,5386,a(flip),b,6801,a(flip))]. 6806 R(K(x,y),z,u) \ 1 != w | R(K(y,x),z,u) = w. [para(6801(a,2),83(a,1)),flip(b)]. 6807 R(K(x,y),z,(K(y,x) * z) \ 1) = z * ((K(y,x) * z) \ 1). [hyper(236,a,277,a(flip),b,6802,a(flip))]. 6808 ((x \ 1) * y) / ((x \ K(x,z)) * y) = R(K(z,x),x \ 1,y). [para(4034(a,1),6803(a,1,2,1))]. 6809 R(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). [hyper(5872,a,6798,a),flip(a)]. 6810 R(K(x,y / z),y,u) != w | K(x,(y * u) / (z * u)) = w. [para(6798(a,1),5872(a,1))]. 6811 R(K(x,(y / z) / u),y / z,z) = K(x,y / (u * z)). [para(16(a,1),6809(a,2,2,1))]. 6812 R(K(x,y / (z / u)),y,u) = K(x,(y * u) / z). [para(16(a,1),6809(a,2,2,2))]. 6813 K(x,(y * z) / ((u \ y) * z)) = R(K(x,u),y,z). [para(62(a,1),6809(a,1,1,2)),flip(a)]. 6814 R(K(x,(y / z) \ x),x,z) = K(x,(x * z) / y). [para(5304(a,1),6812(a,1,1))]. 6815 K(x,R(y,y \ z,u)) = R(K(x,y),z,u). [para(110(a,2),6813(a,1,2))]. 6816 R(K(x,y),T(y,z),u) = K(x,y). [para(3871(a,1),6813(a,1,2)),flip(a)]. 6817 R(K(x,y),y,z) = K(x,y). [para(118(a,1),6816(a,1,2))]. 6818 (K(x,y) * T(y,z)) * u = K(x,y) * (T(y,z) * u). [para(6816(a,1),113(a,1,1)),flip(a)]. 6819 R(K(x,y / (z * y)),y / (z * y),u) = K(x,z \ 1). [hyper(236,a,5797,a(flip),b,6817,a)]. 6820 K((x * y) / z,x) = K(x / (z / y),x). [hyper(236,a,6689,a(flip),b,6817,a(flip)),flip(a)]. 6821 K(R(x,y,z) \ 1,y) = K(x \ 1,y). [hyper(236,a,5900,a(flip),b,6817,a(flip)),flip(a)]. 6822 R(K(x,y / z),y / z,u) != w | K(x,(z / y) \ 1) = w. [para(6817(a,2),5801(a,1))]. 6823 K(((x * (y * z)) / z) \ 1,z / (y * z)) = K((x / R(1 / y,y,z)) \ 1,z / (y * z)). [para(737(a,1),6821(a,1,1,1))]. 6824 R(K(x,y),y * z,u) = K(x,R(y,z,u)). [para(13(a,1),6815(a,1,2,2)),flip(a)]. 6825 R(K(x,y),z * y,u) = K(x,R(y,T(z,y),u)). [para(32(a,2),6815(a,1,2,2)),flip(a)]. 6826 R(K(x,R(y,z,u)),(y * z) * u,w) = K(x,R(R(y,z,u),z * u,w)). [para(143(a,1),6815(a,1,2,2)),flip(a)]. 6827 R(K(x,y),K(z,y) * u,w) = K(x,R(y,T(y,z) \ u,w)). [para(5196(a,1),6815(a,1,2,2)),flip(a)]. 6828 K((x * y) / z,x) = K((z / y) \ x,x). [hyper(236,a,6289,a(flip),b,6820,a)]. 6830 K(x * y,R(x,y,z)) = K(x * y,x). [hyper(3970,a,6824,a),flip(a)]. 6831 K(R(x,y * z,u) \ 1,y) = K(x \ 1,R(y,z,u)). [hyper(236,a,5900,a(flip),b,6824,a(flip)),flip(a)]. 6832 R(T(K(x,y),z),y * u,w) = T(K(x,R(y,u,w)),z). [para(6824(a,1),42(a,2,1))]. 6833 K(x,R(y,z,u)) * ((y * z) * u) = (y * (K(x,y) * z)) * u. [para(6824(a,1),5533(a,1,1))]. 6834 K(x,(x * y) / z) = K(x,(z / y) \ x). [hyper(3970,a,6814,a),flip(a)]. 6835 R(K(x,(y / z) \ x),x,z) = K(x,(y / (x * z)) \ 1). [hyper(236,a,5795,a,b,6814,a)]. 6836 K(x,(x * y) / z) != u | K(x,(z / y) \ x) = u. [para(6814(a,1),3970(a,1))]. 6838 K(x,(L(y,z,u) / y) \ x) = K(x,(x / L(y,z,u)) * y). [para(1657(a,1),6834(a,1,2)),flip(a)]. 6839 L(x,T(y,z),K(u,y)) = x. [hyper(436,a,6818,a)]. 6840 L(T(x,y) \ z,T(u,w),K(v5,u)) = x \ (K(y,x) * z). [hyper(236,a,5196,a,b,6839,a)]. 6842 K(x,R(y / x,x * z,u) \ 1) = K(x,(((y * z) * u) / ((x * z) * u)) \ 1). [para(493(a,1),6794(a,1,2,1)),flip(a)]. 6843 R(K(x,y / (z * y)),R(1 / z,z,y),u) = K(x,z \ 1). [para(159(a,2),6819(a,1,2))]. 6844 R(K(x,y \ x),x,z) = K(x,((y * z) / (x * z)) \ 1). [para(15(a,1),6835(a,1,1,2,1))]. 6845 R(T(K(x,(y / z) \ x),u),x,z) = T(K(x,(y / (x * z)) \ 1),u). [para(6835(a,1),42(a,2,1))]. 6846 R(K(x / y,z \ (x / y)),x / y,y) = K(x / y,((z * y) / x) \ 1). [para(16(a,1),6844(a,2,2,1,2))]. 6847 K(x \ R(x,y,z),x) = (u \ 1) * T(u,R(u,w,v5) \ 1). [hyper(236,a,5766,a(flip),b,6795,a)]. 6848 K(x,(y \ L(y,z,u)) \ x) = K(x,(x / L(y,z,u)) * y). [para(4765(a,1),6838(a,1,2,1))]. 6849 T(x,R(x \ 1,y,z)) = T(x,R(x,u,w) \ 1). [hyper(6034,a,6847,a)]. 6850 T(x,R(x,y,z) \ 1) = T(x,x \ 1). [hyper(3782,a,6849,a),flip(a)]. 6851 (R(x,y,z) \ 1) * T(x,x \ 1) = R(x,y,z) \ x. [para(6850(a,1),1506(a,1,2))]. 6852 (R(x,y,z) \ 1) * ((x \ 1) \ 1) = R(x,y,z) \ x. [hyper(909,a,6851,a)]. 6854 (1 / R(x,y,z)) * x = R(x,y,z) \ x. [hyper(236,a,6687,a(flip),b,6852,a(flip)),flip(a)]. 6855 x / R(x,y,z) = R(x,y,z) \ x. [hyper(1927,a,6854,a)]. 6856 T(1 / R(x,y,z),x) = R(x,y,z) \ 1. [hyper(168,a,6854,a,b,1504,a)]. 6858 (x / R(x,y,z)) * u = (R(x,y,z) \ x) * u. [hyper(22,a,6855,a)]. 6859 (R(x,y,z) \ x) * R(x,y,z) = x. [para(6855(a,1),16(a,1,1))]. 6860 (R(x,y,z) \ x) \ x = R(x,y,z). [para(6855(a,1),65(a,1,1))]. 6861 K(x,(y / R(y,z,u)) \ x) = K(x,x * (y \ R(y,z,u))). [para(6855(a,2),6693(a,1,2,1))]. 6862 R(K(x,R(y,z,u) \ y),y,w) = K(x,(y * w) / (R(y,z,u) * w)). [para(6855(a,1),6809(a,1,1,2))]. 6865 (x / R(x,y,z)) * u != w | (R(x,y,z) \ x) * u = w. [para(6860(a,1),290(a,1,1,2))]. 6867 K(x,L(y,z,u) \ (y * x)) = K(x,(x / L(y,z,u)) * y). [hyper(236,a,6600,a(flip),b,6848,a(flip)),flip(a)]. 6868 K(x,(x / L(y,z,u)) * y) = K(x,y * (L(y,z,u) \ x)). [para(1210(a,1),6867(a,1,2)),flip(a)]. 6869 (K(x,y) * T(x,z)) \ 1 = T(x,z) \ K(y,x). [hyper(72,a,6816,a(flip),b,6807,a(flip)),flip(a)]. 6870 (K(x,y) * T(x,z)) \ 1 = T(x,y) \ K(z,x). [para(5521(a,1),6869(a,1,1))]. 6871 R(K(x * y,x),(x * y) * z,u) = K(x * y,R(R(x,y,z),y * z,u)). [para(6830(a,1),6826(a,1,1))]. 6872 K((x / y) \ 1,z \ (y / x)) = K(y / x,((z * x) / y) \ 1). [hyper(5711,a,6846,a)]. 6873 K((x / y) \ 1,z \ (y / x)) = K(y / x,y / (z * x)). [hyper(236,a,5795,a(flip),b,6872,a)]. 6875 K(x / y,x / (z * y)) != u | K(x / y,z \ (x / y)) = u. [para(6873(a,1),5825(a,1))]. 6876 K(x * y,R(R(x,y,z),y * z,u)) = K(R(x * y,z,u),x). [hyper(236,a,6678,a(flip),b,6871,a(flip))]. 6877 K(R(R(x,y,z),y * z,u),x * y) = w / (K(R(x * y,z,u),x) * w). [para(6876(a,1),5266(a,1,2,1)),flip(a)]. 6878 K(R(R(x,y,z),y * z,u),x * y) != w | K(x,R(x * y,z,u)) = w. [para(6877(a,2),5272(a,1))]. 6879 (x * T(K(y,z),u)) * T(K(z,y),u) = R(x,T(K(y,z),u),T(K(z,y),u)). [para(5792(a,1),5794(a,1,3)),flip(a)]. 6880 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(6879(a,1),20(a,1))]. 6882 ((1 / R(x,y,z)) * x) * (x \ 1) = T(1 / R(x,y,z),x). [hyper(5123,a,5976,a),flip(a)]. 6883 (x / R(x,y,z)) * (x \ 1) = T(1 / R(x,y,z),x). [para(1914(a,1),6882(a,1,1))]. 6884 (x / R(x,y,z)) * (x \ 1) = R(x,y,z) \ 1. [hyper(236,a,6856,a(flip),b,6883,a)]. 6885 T(R(x,y,z) \ x,x \ 1) = (x \ 1) \ (R(x,y,z) \ 1). [hyper(394,a,6884,a(flip),b,6858,a(flip))]. 6886 T(R(x,y,z) \ x,x \ 1) = R(x,y,z) \ x. [hyper(236,a,6691,a(flip),b,6885,a)]. 6887 K(R(x,y,z) \ x,x \ 1) = 1. [hyper(36,a,6886,a)]. 6888 T(1 / x,R(x,y,z) \ x) = 1 / x. [para(6887(a,1),5716(a,1,1,1))]. 6889 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(6888(a,1),2041(a,1,1)),flip(a)]. 6890 K(((x * y) * z) \ (y * z),R(T(x,u),y,z)) = K(R(x,y,z) \ 1,R(x,y,z)). [para(42(a,2),6507(a,1,2))]. 6891 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),6723(a,2,1,1))]. 6892 (x * y) * L(z * ((y \ 1) / z),y,x) = (x * y) * (z * (((x * y) \ x) / z)). [para(4749(a,2),6784(a,1,2))]. 6893 (x * y) * ((z \ ((x * y) \ y)) * z) = (((z \ (1 / x)) * z) * x) * y. [hyper(225,a,6785,a),flip(a)]. 6894 K(x,R(y / x,x * z,u) \ 1) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(236,a,5795,a(flip),b,6842,a)]. 6895 R(K(x,x / y),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [hyper(236,a,6798,a(flip),b,6894,a(flip)),flip(a)]. 6896 R(K(x,y \ x),x * z,u) = K(x,((x * z) * u) / ((y * z) * u)). [para(5304(a,1),6895(a,1,1))]. 6897 K(x,((x * y) * z) / ((u * y) * z)) = K(R(x,y,z),u \ x). [hyper(236,a,6678,a(flip),b,6896,a(flip))]. 6898 K(R(x,x \ y,z),u \ x) = K(x,(y * z) / ((u * (x \ y)) * z)). [para(14(a,1),6897(a,1,2,1,1)),flip(a)]. 6899 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(5572(a,1),6897(a,1,2,1))]. 6900 K(x,(y * z) / ((u * (x \ y)) * z)) = R(K(x,u \ x),y,z). [hyper(236,a,6676,a(flip),b,6898,a(flip))]. 6901 K(((x * y) * z) \ (y * z),R(T(x,u),y,z)) = K(x \ 1,x). [hyper(236,a,3666,a(flip),b,6890,a)]. 6903 (x * y) * (z * (((x * y) \ x) / z)) = x * (y * (z * ((y \ 1) / z))). [hyper(219,a,6892,a),flip(a)]. 6904 (x \ 1) * ((y * K(x \ 1,x)) \ (y / (1 / x))) = x \ (y \ (y / (1 / x))). [para(2737(a,1),4718(a,1,2,1))]. 6909 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(5792(a,1),5111(a,1,2,1))]. 6910 (K(x,y) * L(K(x,y) \ 1,z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(181(a,1),5374(a,1,2)),flip(a)]. 6911 (K(x,y) * L(K(y,x),z,u)) * w = K(x,y) * (L(K(y,x),z,u) * w). [para(5093(a,1),6910(a,1,1,2,1))]. 6912 (K(x,y) * R(K(x,y) \ 1,z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(182(a,1),5375(a,1,2)),flip(a)]. 6913 (K(x,y) * R(K(y,x),z,u)) * w = K(x,y) * (R(K(y,x),z,u) * w). [para(5093(a,1),6912(a,1,1,2,1))]. 6914 (x * (K(y,x) * z)) \ (x * (K(y,x) * (z * u))) = L(L(u,z,x),x * z,K(y,x)). [para(5363(a,1),5537(a,1,2))]. 6915 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(6621(a,1),5919(a,1,2,2,1,2))]. 6916 T(K(x * R(1 / y,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). [para(5235(a,1),5955(a,1,1))]. 6917 T(K(x * R(y \ 1,y,z),y \ 1) / y,x) = R(1 / y,x,z / (y * z)). [para(5552(a,1),6916(a,1,1,1))]. 6918 ((x \ y) \ y) * (y / T(T(x,x \ y),y)) = x \ (y * ((x \ y) \ y)). [hyper(236,a,1643,a(flip),b,6035,a)]. 6919 ((x \ y) \ y) * (y / T(T(x,x \ y),y)) = x * (y / T(x,y)). [hyper(236,a,4294,a(flip),b,6918,a)]. 6920 (T(x * (y \ 1),x) / x) / (y \ 1) = y * (T(x * (y \ 1),x) / x). [para(6510(a,1),6081(a,1,1,1))]. 6921 (((x * (1 / (1 / y))) \ x) \ 1) * (z / (L(1 / y,y,x) \ 1)) = z * K(1 / (1 / y),z * ((x * (1 / (1 / y))) \ x)). [para(2769(a,2),6319(a,1,2,2,1))]. 6922 (x * y) / ((y * x) * (x \ 1)) = ((x * y) * (x \ 1)) \ (x * y). [para(3028(a,1),6403(a,1,2,1))]. 6923 ((x * y) * (x \ 1)) \ (x * y) = (x * y) / R(y,x,x \ 1). [para(189(a,1),6922(a,1,2)),flip(a)]. 6924 (x * y) / R(y,x,x \ 1) != z | L((x \ 1) \ 1,x \ 1,x * y) = z. [para(6923(a,1),383(a,1))]. 6925 ((x * y) * K(R(y,x,x \ 1) \ (x * y),z)) / R(y,x,x \ 1) = T(((x * y) * (x \ 1)) \ (x * y),z). [para(6923(a,2),6275(a,2,1))]. 6926 K(x,y * (((z * K(u,z)) * u) * w)) = K(x,y * ((u * (1 / (1 / z))) * w)). [para(5382(a,1),6729(a,1,2,2,1,1))]. 6927 K(x,y * ((z * (1 / (1 / u))) * w)) = K(x,y * ((z * u) * w)). [para(4900(a,1),6926(a,1,2,2,1)),flip(a)]. 6928 ((x \ y) \ y) \ R((x \ y) \ y,z,u) = x \ (y \ ((R(x,z,u) * (x \ y)) * x)). [hyper(236,a,992,a(flip),b,6747,a(flip)),flip(a)]. 6929 L(L(x,y,z),z * y,K(u,z)) = L(x,y,z * K(u,z)). [hyper(236,a,6726,a(flip),b,6914,a(flip))]. 6930 (x * (y * z)) / (x * (z * T(T(y,z),u))) = K(u,(x * (y * z)) / (x * z)). [para(442(a,1),5548(a,1,2))]. 6931 (x * (y * z)) / (x * (T(y,u) * z)) = K(u,(x * (y * z)) / (x * z)). [para(180(a,1),6930(a,1,2,2))]. 6932 (x \ R(x,y,z)) * K((R(x,y,z) \ 1) \ 1,u) = x \ R(T(x,u),y,z). [para(3379(a,1),5983(a,1,2,1,1))]. 6933 (x \ R(x,y,z)) * K(R(x,y,z),u) = x \ R(T(x,u),y,z). [para(3247(a,1),6932(a,1,2))]. 6934 ((x * T(x \ (y / z),y / z)) * z) / y = K(x \ (y / z),(z / y) \ 1). [hyper(6822,a,6285,a),flip(a)]. 6935 (x * (y * T(y \ (x \ z),z / y))) / z = K(x \ (z / y),(y / z) \ 1). [para(1414(a,1),6934(a,1,1))]. 6936 K(((x * y) / z) \ 1,z / y) = K(x \ (z / y),(y / z) \ 1). [hyper(236,a,5681,a(flip),b,6935,a(flip)),flip(a)]. 6937 ((x * (y * ((x \ (z / u)) / y))) * u) / z = K(y,z / ((x * y) * u)). [hyper(236,a,6811,a(flip),b,6661,a(flip))]. 6938 (x * y) * L(z \ T(z * (y \ (z \ 1)),z),y,x) = (x * K(y \ 1,z)) * (z \ 1). [para(1698(a,2),6724(a,1,2))]. 6939 x * (y * (z \ T(z * (y \ (z \ 1)),z))) = (x * K(y \ 1,z)) * (z \ 1). [hyper(219,a,6938,a)]. 6940 (x * K(y \ 1,z)) * (z \ 1) = x * (K(y \ 1,z) * (z \ 1)). [para(5916(a,1),6939(a,1,2)),flip(a)]. 6941 (x * K(y \ 1,z)) * (z \ 1) = x * (T(z,y \ 1) \ 1). [para(5204(a,1),6940(a,2,2))]. 6942 (x * K(y,z)) * (z \ 1) = x * (T(z,(1 / y) \ 1) \ 1). [para(65(a,1),6941(a,1,1,2,1))]. 6943 (x * K(y,z)) * (z \ 1) = x * (T(z,y) \ 1). [para(65(a,1),6942(a,2,2,1,2))]. 6944 x \ T(x * (y \ 1),y) = T(y,y \ x) \ 1. [hyper(72,a,6283,a(flip),b,6943,a(flip))]. 6945 (x * (y \ 1)) \ (x * (T(y,z) \ 1)) = K(z,y). [hyper(72,a,6943,a(flip),b,6649,a(flip))]. 6948 (x * K(y,z)) * (z \ 1) = x * (z \ K(y,z)). [para(4833(a,1),6943(a,2,2))]. 6950 T(x,x \ (y \ 1)) \ 1 = y * T(y \ (x \ 1),x). [hyper(4636,a,6944,a),flip(a)]. 6951 x \ T(x * (y \ 1),y) = ((y \ x) \ x) \ 1. [hyper(236,a,637,a(flip),b,6944,a)]. 6952 L(K(x,y),y \ 1,z) = K(x,y). [hyper(5172,a,6945,a)]. 6953 K(x,y) != z | L(K(x,y),y \ 1,u) = z. [para(6945(a,1),5172(a,1))]. 6954 K((x * y) \ 1,x) = K(y \ (x \ 1),x). [hyper(6731,a,6952,a)]. 6956 ((x \ (1 / y)) * x) * y = K(y \ (x \ 1),x). [hyper(5165,a,6954,a)]. 6957 (x * (y \ 1)) * K(z,y) = x * (y \ K(z,y)). [hyper(236,a,6649,a(flip),b,6948,a(flip)),flip(a)]. 6958 T(x * (y \ 1),y) \ z = (x * (((y \ x) \ x) \ 1)) \ z. [para(6951(a,1),293(a,1,1,2)),flip(a)]. 6959 T((x \ 1) * y,x) = (((x \ y) \ y) \ 1) * y. [para(6951(a,1),4634(a,1,1)),flip(a)]. 6960 (x * y) * ((z \ ((x * y) \ y)) * z) = K(x \ (z \ 1),z) * y. [para(6956(a,1),6893(a,2,1))]. 6961 (((x \ 1) * y) \ y) \ y = (((x \ y) \ y) \ 1) * y. [hyper(4090,a,6959,a)]. 6962 (((L(x,y,z) \ 1) * x) \ x) \ x = (L(x,y,z) \ 1) * x. [para(6066(a,1),6961(a,2,1,1))]. 6963 L((x \ 1) \ 1,y,z) \ x = (L(x,y,z) \ 1) * x. [para(6776(a,1),6962(a,1,1))]. 6964 (L(1 / x,y,z) \ 1) * (1 / x) = L(x \ 1,y,z) \ (1 / x). [para(65(a,1),6963(a,1,1,1,1)),flip(a)]. 6965 (L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1)) * (x \ 1) = ((L(x,y,z) \ 1) * x) * (1 / x). [para(6963(a,1),3839(a,2,1))]. 6966 K(x,y / (x / ((z * y) \ 1))) = y / (K(z \ (x \ 1),x) * y). [para(6960(a,1),5927(a,1,2)),flip(a)]. 6967 (L(1 / (x \ y),x \ y,x) \ 1) * (1 / (x \ y)) = (y \ (x * 1)) \ (1 / (x \ y)). [para(450(a,1),6964(a,2,1))]. 6968 K(x,y / (x / ((z * y) \ 1))) = K(x,z \ (x \ 1)). [hyper(236,a,5266,a(flip),b,6966,a)]. 6970 K(x,(y * x) \ 1) = K(x,y \ (x \ 1)). [hyper(236,a,5306,a(flip),b,6968,a(flip)),flip(a)]. 6971 x * (y * ((x \ 1) / y)) = K(y,x \ (y \ 1)). [hyper(236,a,6019,a,b,6970,a(flip)),flip(a)]. 6972 (x * y) * (z * (((x * y) \ x) / z)) = x * K(z,y \ (z \ 1)). [para(6971(a,1),6903(a,2,2))]. 6974 ((1 / (1 / (x \ y))) \ 1) * (1 / (y \ x)) = (x \ (y * 1)) \ (1 / (y \ x)). [para(2703(a,1),6967(a,1,1,1))]. 6975 (x \ (y * 1)) \ (1 / (y \ x)) = (1 / (x \ y)) * (1 / (y \ x)). [hyper(582,a,6974,a),flip(a)]. 6977 (x \ (y * 1)) \ (1 / (y \ x)) = (y \ x) \ ((x \ y) \ 1). [hyper(236,a,6787,a(flip),b,6975,a)]. 6978 (x \ y) \ ((y \ x) \ 1) = (y \ x) \ (1 / (x \ y)). [para(12(a,1),6977(a,1,1,2)),flip(a)]. 6979 ((x * y) \ x) \ (1 / (x \ (x * y))) = y \ (((x * y) \ x) \ 1). [para(13(a,1),6978(a,1,1)),flip(a)]. 6980 (x \ (x * y)) \ (1 / ((x * y) \ x)) = ((x * y) \ x) \ (y \ 1). [para(13(a,1),6978(a,1,2,1)),flip(a)]. 6981 (x \ (x / y)) \ (1 / ((x / y) \ x)) = y \ ((x \ (x / y)) \ 1). [para(65(a,1),6978(a,1,1)),flip(a)]. 6982 ((x * y) \ x) \ (y \ 1) = y \ (1 / ((x * y) \ x)). [para(13(a,1),6980(a,1,1)),flip(a)]. 6983 ((x * (1 / (1 / y))) \ x) \ (1 / y) = y \ (1 / ((x * y) \ x)). [hyper(236,a,3860,a,b,6982,a(flip)),flip(a)]. 6984 (x \ 1) \ (x \ (1 / ((y * x) \ y))) = L(x \ 1,x,y) \ 1. [para(6982(a,1),1220(a,1,2))]. 6985 (x * (y \ z)) * (u * (((x * (y \ z)) \ z) / u)) = (x * (u * ((x \ y) / u))) * (y \ z). [para(4659(a,1),4670(a,2,1))]. 6986 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) = (z * y) \ (z * (y * x)). [para(4860(a,1),5214(a,2,2))]. 6987 L(L(x,y,T(z,u)),T(z,u) * y,K(u,z)) != w | L(x,y,z) = w. [para(6986(a,2),447(a,1))]. 6989 T((((x / y) \ 1) \ y) * ((x / y) \ 1),z) = (x / y) \ T(x * K(y,z),(x / y) \ 1). [hyper(236,a,4639,a,b,6231,a),flip(a)]. 6990 ((x \ 1) * (L(x \ 1,x,y) \ z)) / (1 / x) = z / L(1 / x,x,y). [hyper(236,a,6730,a(flip),b,6712,a)]. 6991 L((x \ 1) \ 1,y,z) \ ((x \ 1) \ 1) = L(x,y,z) \ x. [hyper(18,a,4694,a(flip),b,6965,a)]. 6992 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * ((z / u) \ z)) \ z) / y)). [para(65(a,1),6985(a,1,1,2)),flip(a)]. 6993 (x / y) \ T(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z). [para(3805(a,1),6989(a,1,1)),flip(a)]. 6994 K(x * K(y,z),(x / y) \ 1) = T(x * (y / x),z) / T(y,z). [para(6993(a,1),6257(a,1,1)),flip(a)]. 6995 K(x * K(y,z),(x / y) \ 1) = K(x,x \ T(y,z)). [hyper(236,a,5297,a(flip),b,6994,a)]. 6996 L(x,y * K(z \ 1,z),u) = (u * y) \ (u * (y * x)). [para(4568(a,1),4704(a,1,2)),flip(a)]. 6997 L(x,y * K(z \ 1,z),u) = L(x,y,u). [hyper(236,a,28,a,b,6996,a)]. 6999 L(x,(y \ 1) \ 1,z) = L(x,y,z). [para(1377(a,1),6997(a,1,2)),flip(a)]. 7000 L(x,1 / y,z) = L(x,y \ 1,z). [para(1434(a,1),6997(a,1,2)),flip(a)]. 7001 L(x,1 / (1 / y),z) = L(x,y,z). [para(1738(a,1),6997(a,1,2))]. 7002 L(x,K(y \ 1,y) * z,u) = L(x,z,u). [para(2516(a,2),6997(a,1,2))]. 7003 L(x,y * (1 / z),u) = L(x,y * (z \ 1),u). [para(2740(a,1),6997(a,1,2)),flip(a)]. 7004 L(x,(1 / y) \ z,u) = L(x,(y \ 1) \ z,u). [para(2949(a,1),6997(a,1,2))]. 7005 L(x,T(1 / y,z) \ u,w) = L(x,T(y \ 1,z) \ u,w). [para(3343(a,1),6997(a,1,2))]. 7006 L(K(x,y \ 1),y,z) = K(x,y \ 1). [hyper(236,a,6952,a(flip),b,6999,a(flip))]. 7008 L(x,L(1 / y,z,u),w) = L(x,L(y \ 1,z,u),w). [para(2700(a,1),6999(a,1,2)),flip(a)]. 7011 (x * (1 / y)) * L(z,y \ 1,x) = x * ((1 / y) * z). [para(7000(a,1),103(a,1,2))]. 7012 (x * (1 / (1 / y))) * L(z,y,x) = x * ((1 / (1 / y)) * z). [para(7001(a,1),103(a,1,2))]. 7014 (x * y) * K(z,y \ 1) = x * (y * K(z,y \ 1)). [para(7006(a,1),103(a,1,2))]. 7015 L(x,(y \ K(y,z)) * T(y,u),w) = L(x,K(y,z) * K(y,u),w). [para(6104(a,1),7002(a,1,2))]. 7016 R(x,y,K(z,y \ 1)) = x. [hyper(467,a,7014,a)]. 7018 R(x,y \ z,K(u,z \ y)) = x. [para(6408(a,1),7016(a,1,3))]. 7019 (x * (y \ z)) * K(u,z \ y) = x * ((y \ z) * K(u,z \ y)). [para(7018(a,1),113(a,1,1)),flip(a)]. 7020 x \ (y * K(z,y \ x)) = (x \ y) * K(z,y \ x). [para(7018(a,1),463(a,1,1))]. 7021 (x * y) \ ((x * (y * z)) * K(u,(x * (y * z)) \ (x * y))) = L(z,y,x) * K(u,(x * (y * z)) \ (x * y)). [para(28(a,2),7020(a,2,1))]. 7022 T(x \ y,z) * ((y \ x) * K(z,x \ y)) = T((x \ y) * (y \ x),z). [para(7020(a,1),6662(a,1,2))]. 7023 (x * (1 / y)) * K(z,y) = x * ((1 / y) * K(z,y)). [para(6952(a,1),7011(a,1,2))]. 7024 (x * (1 / y)) * K(z,y) = x * (1 / T(y,z)). [para(4848(a,1),7023(a,2,2))]. 7025 (x / (1 / y)) * (1 / T(y,z)) = x * K(z,y). [hyper(303,a,7024,a),flip(a)]. 7026 T(x,y) / (1 / T(y,x)) = x / (1 / y). [hyper(74,a,4887,a,b,7025,a)]. 7027 T(x,y / x) / (1 / (x \ y)) = x / (1 / (y / x)). [para(121(a,1),7026(a,1,2,2))]. 7028 (x / (1 / (x \ y))) / x = x \ (x / (1 / (y / x))). [para(7027(a,1),4158(a,1,2)),flip(a)]. 7029 T((x / (1 / (x \ y))) / x,1 / (y / x)) = x \ (x / ((y / x) \ 1)). [para(7028(a,2),2780(a,1,1))]. 7030 (x * (1 / (1 / y))) * z != x * ((1 / (1 / y)) * u) | L(u,y,x) = z. [para(7012(a,1),19(a,1)),flip(a)]. 7031 (x * K(y \ x,x \ y)) * K(z,1 \ ((y \ x) \ 1)) = y * ((((y \ x) \ 1) \ 1) * K(z,1 \ ((y \ x) \ 1))). [para(2714(a,2),7019(a,1,1))]. 7032 T((x \ y) * (y \ x),z) = (x \ y) * (y \ x). [hyper(5623,a,7022,a),flip(a)]. 7034 T(x,(y \ z) * (z \ y)) = x. [hyper(35,a,7032,a)]. 7035 x / ((y \ z) * (z \ y)) = ((y \ z) * (z \ y)) \ x. [para(7032(a,1),197(a,1,2))]. 7037 T(x,y * ((z * y) \ z)) = x. [para(13(a,1),7034(a,1,2,1))]. 7038 x / (y * ((z * y) \ z)) = (y * ((z * y) \ z)) \ x. [hyper(2346,a,7037,a),flip(a)]. 7039 ((x * ((y * x) \ y)) * z) * ((x * ((y * x) \ y)) \ 1) = R(z,x * ((y * x) \ y),(x * ((y * x) \ y)) \ 1). [hyper(903,a,7037,a),flip(a)]. 7040 K(x,y * ((z * y) \ z)) = 1. [hyper(36,a,7037,a)]. 7041 T(x * ((y * x) \ y),z) = x * ((y * x) \ y). [hyper(35,a,7037,a)]. 7043 T(x * L(x \ 1,x,y),z) = x * ((y * x) \ y). [para(158(a,2),7041(a,1,1,2))]. 7044 T(x,y) * ((x * y) \ y) = x * ((y * x) \ y). [hyper(236,a,5605,a(flip),b,7043,a(flip)),flip(a)]. 7047 ((x * y) \ y) / (T(x,y) \ 1) = x * ((y * x) \ y). [hyper(236,a,1261,a,b,7044,a(flip)),flip(a)]. 7048 (((x / y) \ x) * (x \ (x / y))) \ z = z / (y * (x \ (x / y))). [para(65(a,1),7035(a,1,2,1)),flip(a)]. 7049 ((x * (y / x)) \ (y / x)) / (T(x,y / x) \ 1) = x * (y \ (y / x)). [para(16(a,1),7047(a,2,2,1))]. 7050 x / (y * (z \ (z / y))) = (y * (z \ (z / y))) \ x. [para(65(a,1),7048(a,1,1,1)),flip(a)]. 7052 (x \ (y \ x)) / (T(y,x / y) \ 1) = y * (x \ (x / y)). [para(5963(a,1),7049(a,1,1))]. 7053 (x \ (y \ x)) / (((y \ x) \ x) \ 1) = y * (x \ (x / y)). [para(4149(a,1),7052(a,1,2,1))]. 7054 ((x \ y) \ y) * (y \ (x \ y)) = x * (y \ (y / x)). [hyper(1458,a,7053,a)]. 7055 (K(x \ 1,x) * ((y * z) * u)) / (K(x \ 1,x) * (z * u)) = R(y,z * K(x \ 1,x),u). [para(3651(a,1),4705(a,1,2))]. 7056 K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(((x * (y * z)) / z) \ 1,y \ 1). [hyper(5806,a,6823,a),flip(a)]. 7058 K((x / R(1 / y,y,z)) \ 1,z / (y * z)) = K(z / (x * (y * z)),y \ 1). [hyper(236,a,5699,a(flip),b,7056,a)]. 7059 K((x / R(1 / y,y,z)) \ 1,y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(5806,a,7058,a)]. 7060 K(R(1 / x,x,y) / z,x \ 1) = K(y / (z * (x * y)),x \ 1). [hyper(5825,a,7059,a)]. 7062 K(x,x \ 1) * ((K(x \ 1,x) * ((y * z) * u)) / (z * u)) = R(y,z * K(x \ 1,x),u). [hyper(236,a,4538,a(flip),b,7055,a(flip)),flip(a)]. 7063 K(x,x \ 1) * R(K(x \ 1,x) * y,z,u) = R(y,z * K(x \ 1,x),u). [para(3714(a,1),7062(a,1,2))]. 7064 R(x,y * K(z \ 1,z),u) = R(x,y,u). [hyper(5400,a,7063,a),flip(a)]. 7066 R(x,(y \ 1) \ 1,z) = R(x,y,z). [para(1377(a,1),7064(a,1,2)),flip(a)]. 7067 R(x,1 / y,z) = R(x,y \ 1,z). [para(1434(a,1),7064(a,1,2)),flip(a)]. 7068 R(x,y,z) * (((y \ 1) \ 1) * z) = (x * ((y \ 1) \ 1)) * z. [para(7066(a,1),113(a,1,1))]. 7069 R(1 / (1 / x),x \ 1,(1 / x) \ y) = ((1 / x) \ y) / y. [hyper(734,a,7067,a),flip(a)]. 7070 R(x,1 / y,1 / (1 / z)) = R(x,y \ 1,z). [hyper(236,a,4506,a(flip),b,7067,a)]. 7071 1 / R(T(x,(1 / x) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(7067(a,1),3519(a,1,2))]. 7072 x * R(1 / (1 / y),y \ 1,(1 / y) \ x) = (1 / y) \ T(x,y). [para(7067(a,1),3808(a,1,2))]. 7073 R(x,1 / y,(1 / y) \ 1) = R(x,y \ 1,y). [hyper(2877,a,7070,a)]. 7075 (x * ((y \ 1) \ 1)) * z != u * (((y \ 1) \ 1) * z) | R(x,y,z) = u. [para(7068(a,1),20(a,1))]. 7076 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((1 / x) \ y) / y). [para(7069(a,2),98(a,1,2,2))]. 7077 1 / R(T(x,(x \ 1) * y),x \ 1,y) = (((1 / x) * y) \ y) \ 1. [para(2962(a,1),7071(a,1,2,1))]. 7078 (((1 / x) * (y * x)) \ (y * x)) \ 1 = 1 / R(T(x,y),x \ 1,y * x). [para(4401(a,1),7077(a,1,2,1)),flip(a)]. 7079 ((1 / x) \ y) \ (y * R(1 / (1 / x),x \ 1,(1 / x) \ y)) = K(y,((x \ 1) \ y) / y). [hyper(236,a,5242,a(flip),b,7076,a)]. 7080 K(x,((y \ 1) \ x) / x) = ((1 / y) \ x) \ ((1 / y) \ T(x,y)). [para(7072(a,1),7079(a,1,2)),flip(a)]. 7081 K(x \ ((x \ 1) \ y),x) = K(y,((x \ 1) \ y) / y). [hyper(236,a,5926,a(flip),b,7080,a),flip(a)]. 7082 K(x \ ((x \ 1) \ y),x) = K(y,(x \ 1) \ 1). [hyper(236,a,5798,a(flip),b,7081,a)]. 7084 K(x \ ((x \ 1) \ y),x) = K(y,x). [hyper(236,a,5233,a(flip),b,7082,a)]. 7085 K(x \ ((1 / x) \ y),x) = K(y,x). [hyper(236,a,5527,a,b,7084,a(flip)),flip(a)]. 7086 K((x / ((1 / x) \ y)) \ 1,x) = K(y,x). [hyper(236,a,5694,a,b,7085,a(flip)),flip(a)]. 7087 K((1 / x) * y,x) = K(x \ y,x). [para(13(a,1),7085(a,1,1,2)),flip(a)]. 7088 K((1 / x) * y,x) = K(y * (1 / x),x). [hyper(236,a,6007,a,b,7087,a)]. 7089 K((1 / x) * (y * x),x) = K(T(y,x),x). [para(32(a,2),7087(a,2,1))]. 7090 K((1 / (1 / x)) * y,1 / x) = K(y * x,1 / x). [hyper(236,a,5426,a(flip),b,7088,a)]. 7091 K(T((1 / x) * y,x),x) = K(T(x \ y,x),x). [para(935(a,1),7089(a,1,1))]. 7092 K(T((x \ 1) * y,x),x) = K(T(x \ y,x),x). [hyper(236,a,5726,a(flip),b,7091,a(flip)),flip(a)]. 7093 K(T(x \ y,x),x) \ 1 = K(x,(x \ 1) * y). [para(7092(a,1),5100(a,1,1))]. 7094 K(x,(x \ 1) * y) = K(x,x \ y). [hyper(5119,a,7093,a),flip(a)]. 7095 K(x,(x \ 1) * y) * y = x * (y / x). [para(7094(a,2),4909(a,1,1))]. 7096 K(x,(1 / x) * y) * y = x * (y / x). [para(5477(a,2),7095(a,1,1))]. 7097 K(x,L(y,x,x \ 1)) * (y * x) = x * ((y * x) / x). [para(5500(a,1),7096(a,1,1))]. 7098 K(x,L(y,x,x \ 1)) * (y * x) = x * y. [para(15(a,1),7097(a,2,2))]. 7099 K(x,L(y,x,x \ 1)) = K(x,y). [hyper(4819,a,7098,a),flip(a)]. 7100 K(R(x,x \ 1,y),L(z,x,x \ 1)) = K(x,z). [hyper(236,a,6677,a,b,7099,a(flip)),flip(a)]. 7101 K(x \ 1,(x \ 1) \ y) = K(x \ 1,x * y). [para(2922(a,1),7099(a,1,2)),flip(a)]. 7102 K(x \ 1,y * x) = K(x \ 1,x * y). [hyper(236,a,5996,a(flip),b,7101,a(flip)),flip(a)]. 7103 (x \ 1) * (y / (x \ 1)) = y * K(x \ 1,x * y). [para(7101(a,1),5079(a,1,2)),flip(a)]. 7104 x * T(x \ 1,y * x) = K(x \ 1,x * y). [hyper(4948,a,7102,a)]. 7105 ((x * y) \ y) * (x * y) = y * K(x \ 1,y * x). [para(7102(a,2),5708(a,2,2))]. 7106 ((1 / x) \ y) * K(x \ 1,x * y) = y / (1 / x). [para(7102(a,1),5997(a,1,2))]. 7107 T(x \ 1,y * x) = T(x \ 1,x * y). [hyper(17,a,4830,a,b,7104,a)]. 7108 K(x \ 1,x * y) != z | K(x \ 1,y * x) = z. [para(7104(a,1),5129(a,1))]. 7109 T(x \ 1,y * x) = ((x \ 1) \ y) \ y. [hyper(236,a,4409,a(flip),b,7107,a)]. 7110 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(7107(a,1),2092(a,1,2,1,1))]. 7111 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(7107(a,2),2092(a,1,1))]. 7112 T((x \ y) \ 1,y) = (((x \ y) \ 1) \ x) \ x. [para(14(a,1),7109(a,1,2))]. 7113 x / T((x \ y) \ 1,y) = ((x \ y) \ 1) \ x. [para(7112(a,2),62(a,1,2))]. 7114 K(x,T((y \ z) \ 1,z) \ x) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [para(7112(a,2),6600(a,1,2,1))]. 7116 (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(1498(a,1),4309(a,1,1))]. 7117 (R(x,y,z) * (u * x)) \ ((R(x,y,z) * u) * x) = a(x,T(u,x),R(T(x,u),y,z)). [para(1119(a,1),7116(a,1,2))]. 7118 a(x,T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(679,a,7117,a),flip(a)]. 7119 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(236,a,4416,a,b,7118,a(flip)),flip(a)]. 7120 a(T(x,y),T(T(y,x),x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [para(4104(a,1),7119(a,1,1))]. 7121 ((x * y) / x) * T(((x * y) / x) \ (z * K(x,y)),y) = ((y \ z) * y) * K(x,y). [para(4877(a,2),5062(a,1,2,1,2,2))]. 7122 (x * (y * T(y \ T(z * K(x,y),x),y))) / x = ((y \ z) * y) * K(x,y). [hyper(236,a,2255,a(flip),b,7121,a(flip)),flip(a)]. 7123 (x * ((y \ T(z * K(x,y),x)) * y)) / x = ((y \ z) * y) * K(x,y). [para(119(a,1),7122(a,1,1,2))]. 7124 (((x \ (y * K(z,x))) * x) * z) / z = ((x \ y) * x) * K(z,x). [para(4653(a,1),7123(a,1,1))]. 7125 (x \ (y * K(z,x))) * x = ((x \ y) * x) * K(z,x). [hyper(304,a,7124,a)]. 7128 (((x \ y) * x) * K(z,x)) / K(z,x) = T(x,z) * T(T(x,z) \ y,x). [para(7125(a,1),6746(a,1,1))]. 7129 T(x,y) * T(T(x,y) \ z,x) = (x \ z) * x. [hyper(304,a,7128,a),flip(a)]. 7130 (x \ (y * T(x,z))) * x = T(y,x) * T(x,z). [hyper(706,a,7129,a),flip(a)]. 7132 x \ (y * T(x,z)) = T(y,x) * K(x,z). [hyper(18,a,6188,a,b,7130,a)]. 7133 T(x * K(y,z),y) = T(x,y) * K(y,z). [hyper(6206,a,7132,a)]. 7134 K(x,y) * T(z,T(x,y)) = T(z,x) * K(x,y). [hyper(5610,a,7132,a)]. 7135 T(T(x,y),K(y,z)) = T(x,T(y,z)). [hyper(168,a,7132,a(flip),b,5177,a)]. 7137 T(x,y) * K(y,z) != u | T(x * K(y,z),y) = u. [para(7132(a,1),6206(a,1))]. 7138 T(T(x,K(y,z)),y) = T(x,T(y,z)). [hyper(417,a,7135,a)]. 7139 T(x / y,T(y,z)) = T(y \ x,K(y,z)). [para(121(a,1),7135(a,1,1)),flip(a)]. 7140 T((x * y) / x,T(x,z)) = T(y,K(x,z)). [para(162(a,1),7135(a,1,1)),flip(a)]. 7141 T(x,K(y,z)) * y = y * T(x,T(y,z)). [para(7135(a,1),180(a,1,2)),flip(a)]. 7143 T(x / y,T(y,z)) != u | T(y \ x,K(y,z)) = u. [para(7138(a,1),668(a,1))]. 7145 T(K(x,y),T(z,y)) = T(K(x,y),z). [para(5850(a,1),7138(a,1,1)),flip(a)]. 7146 T(x,T(y,T(x,z))) = T(x,y). [para(6441(a,1),7138(a,1,1)),flip(a)]. 7147 T(x,T(y,T(x,z))) = x * K(x,y). [hyper(236,a,4887,a(flip),b,7146,a)]. 7149 T(x,T(y,T(x,z))) != u | T(x,y) = u. [para(7147(a,2),4890(a,1))]. 7150 T(x,R(T(x,y) \ z,u,w)) != v5 | T(x,R(z / T(x,y),u,w)) = v5. [para(185(a,1),7149(a,1,2))]. 7151 T(K(x,y) * z,y) = K(x,y) * T(z,y). [hyper(6146,a,7133,a),flip(a)]. 7152 K(x,y) * T(K(x,y) \ z,y) = T(z,y). [hyper(6145,a,7133,a)]. 7153 (T(x,y) / y) * T(y,z) = T(x * K(y,z),y). [hyper(236,a,6200,a,b,7133,a),flip(a)]. 7155 x \ T(x * K(y,z),y) != u | K(x,y) * K(y,z) = u. [para(7133(a,2),5185(a,1,2))]. 7156 T(x \ y,K(x,y)) = x \ y. [hyper(236,a,3908,a(flip),b,7139,a(flip))]. 7157 T(x * K(y,z),T(y \ x,K(y,z))) = T((x / y) * T(y,z),x / y). [para(7139(a,1),6233(a,1,2))]. 7159 T(x * y,K(y,z)) / y = T(x,K(y,z)). [hyper(236,a,6468,a,b,7140,a(flip)),flip(a)]. 7160 T(T(x,K(y,z)),y) != u | T(x,T(y,z)) = u. [para(7140(a,1),672(a,1,1))]. 7161 T(x * y,K(x,z)) = x * T(y,K(x,z)). [para(7140(a,1),6469(a,1,2)),flip(a)]. 7162 T(x * y,K(y,z)) = T(x,K(y,z)) * y. [hyper(236,a,6466,a,b,7141,a),flip(a)]. 7163 T(x,K(y,z)) / y = T(x / y,K(y,z)). [hyper(74,a,6469,a(flip),b,7141,a)]. 7164 T(x,y) \ (z * x) = T(K(y,x) * z,x). [hyper(5613,a,7151,a(flip))]. 7165 K(x,y) * T(K(x,y) \ z,x) = T(z,x). [hyper(17,a,6131,a,b,7151,a(flip)),flip(a)]. 7166 K(x,y) * T(K(x * y,x),y) = T(x \ R(x,y,x),y). [para(5407(a,1),7151(a,1,1)),flip(a)]. 7167 T(x * K(y,z),z) = T(x,z) * K(y,z). [hyper(706,a,7152,a),flip(a)]. 7168 K(x,y) * (z * T(z \ (K(x,y) \ u),y)) = T(u / z,y) * z. [para(7152(a,1),1414(a,1,1)),flip(a)]. 7169 T(K(x,y) * z,x) = K(x,y) * T(z,x). [para(7152(a,1),6131(a,1,2)),flip(a)]. 7170 x \ T(y,K(x,z)) = T(x \ y,K(x,z)). [hyper(4656,a,7159,a)]. 7171 T(x,K(y,y * x)) = x. [hyper(3143,a,7161,a)]. 7172 T(x / y,K(y,x)) = x / y. [para(6606(a,1),7171(a,1,2))]. 7173 T(x / y,K(x,y)) = x / y. [para(7172(a,1),5845(a,1,1))]. 7174 T(x / y,T(x,y)) = T(x / y,x). [para(7173(a,1),7138(a,1,1)),flip(a)]. 7175 T(T(x,y) / z,K(z,x)) = T(x,y) / z. [para(3144(a,1),7163(a,1,1)),flip(a)]. 7176 T(K(x,y) * (z / y),y) = T(y,x) \ z. [para(16(a,1),7164(a,1,2)),flip(a)]. 7177 K(x,y) * ((x \ 1) \ K(y,z)) = T((x \ 1) \ K(y,z),y). [hyper(236,a,4894,a,b,7165,a(flip)),flip(a)]. 7178 T(T(x,y) * K(z,y),K(y,u)) = T(x * K(z,y),T(y,u)). [para(7167(a,1),7135(a,1,1))]. 7179 T(K(x \ y,x) * z,x \ y) = (y / x) \ (z * (x \ y)). [hyper(236,a,5759,a(flip),b,7169,a)]. 7181 x * T(K(x,y) * z,x) = K(x,y) * (z * x). [para(7169(a,2),5512(a,1,2))]. 7182 x \ T(L(y,x \ 1,x),K(x,z)) = T((x \ 1) * y,K(x,z)). [para(392(a,1),7170(a,2,1))]. 7183 T(T(x,y) / z,K(x,z)) = T(x,y) / z. [para(7175(a,1),5845(a,1,1))]. 7184 T(T(T(x,y \ x) / y,K(x,y)),x) = x / y. [para(7183(a,2),3897(a,1,1))]. 7185 T(T(x,y),K(y,z)) != u | T(x,T(y,z)) = u. [para(38(a,1),7160(a,1))]. 7188 T((1 / ((x * y) \ x)) * K(y,z),y) = ((1 / ((x * y) \ x)) / y) * T(y,z). [para(5339(a,1),7153(a,1,1,1)),flip(a)]. 7189 (K(x,y) * z) * x = K(x,y) * (z * x). [hyper(220,a,7181,a)]. 7190 x \ (K(x,y) * (z * x)) != u | T(K(x,y) * z,x) = u. [para(7181(a,1),283(a,1,2)),flip(b)]. 7191 R(K(x,y),z,x) = K(x,y). [hyper(7075,a,7189,a)]. 7192 L(x,y,K(x,z)) = x. [hyper(7030,a,7189,a)]. 7193 (K(x,y) * (z * x)) \ (K(x,y) * z) != u | L(x \ 1,x,K(x,y) * z) = u. [para(7189(a,1),383(a,1,1))]. 7194 L(L(x,y,z),u,K(x,w)) = L(x,y,z). [para(7192(a,1),45(a,1,1)),flip(a)]. 7196 (K(x,y) * z) * R(x,u,w) = K(x,y) * (z * R(x,u,w)). [para(7192(a,1),443(a,1,2,1))]. 7198 (K(x,y) * z) / T(x,u) = K(x,y) * (z / T(x,u)). [para(7192(a,1),742(a,1,2,1))]. 7201 L(K(x,y),z,K(x,u)) = K(x,y). [para(7192(a,1),6577(a,1,1)),flip(a)]. 7202 L(K(x,y),z,K(y,u)) = K(x,y). [para(7192(a,1),6582(a,1,2)),flip(a)]. 7203 (K(x,y) * z) * K(u,x) = K(x,y) * (z * K(u,x)). [para(7192(a,1),6586(a,1,2,2))]. 7204 L(x,y,R(K(x,z),u,w)) = x. [para(6797(a,1),7192(a,1,3))]. 7205 K(x,R(y,z,x)) = K(x,y). [hyper(236,a,6824,a(flip),b,7191,a(flip)),flip(a)]. 7206 K(x,(y * x) / z) = K(x,y / (z / x)). [hyper(236,a,6812,a(flip),b,7191,a(flip)),flip(a)]. 7207 K(x,(y / x) / z) = K(x,y / (z * x)). [hyper(236,a,6811,a(flip),b,7191,a(flip))]. 7208 K(R(x,y,x),z) = K(x,z). [hyper(236,a,6678,a(flip),b,7191,a(flip)),flip(a)]. 7209 T(x,R(y,z,x)) = x * K(x,y). [para(7205(a,1),4887(a,2,2))]. 7210 K(T(x,x * y),z) = K(T(x,y),z). [para(4277(a,1),7208(a,1,1)),flip(a)]. 7211 K(T(x,x \ y),z) = K(T(x,y),z). [para(4297(a,1),7208(a,1,1))]. 7212 T(x * y,x) * K(x,y) = (y \ T(x * y,x)) * y. [para(7208(a,1),4235(a,1,2))]. 7213 x * K(R(x,y,x),z) = T(x,z). [para(7208(a,2),4887(a,2,2)),flip(a)]. 7214 K(x,R(y,z,y)) = 1 / K(y,x). [para(7208(a,1),5102(a,1,2)),flip(a)]. 7217 K(x,y) * (R(x,z,x) * u) = R(T(x,y),z,x) * u. [para(7208(a,1),5253(a,1,1))]. 7218 L(x,y,K(R(x,z,u),w)) = x. [para(6678(a,1),7204(a,1,3))]. 7219 K(x,L(y,z,K(x,u))) = K(x,y). [hyper(236,a,6584,a(flip),b,7201,a(flip)),flip(a)]. 7220 L(T(K(x,y),z),u,K(x,w)) = T(K(x,y),z). [para(7201(a,1),40(a,2,1))]. 7221 (K(x,y) * z) * K(x,u) = K(x,y) * (z * K(x,u)). [para(7201(a,1),103(a,1,2))]. 7222 T(K(x,y) * z,K(x,y)) = z * K(x,y). [para(7201(a,1),4245(a,1,1,1))]. 7223 x / T(K(y,z),x) = K(y,z) \ x. [para(7201(a,1),4364(a,1,1)),flip(a)]. 7224 K((K(x,y) * z) \ (K(x,y) * u),x) = K(z \ u,x). [hyper(6566,a,7202,a)]. 7225 T(x,R(y,z,x)) = T(x,y). [hyper(236,a,4887,a,b,7209,a)]. 7226 T(x,R(y,z,x)) != u | T(x,y) = u. [para(7209(a,2),4890(a,1))]. 7229 T(x,(y * x) / z) = T(x,y / (z / x)). [para(485(a,1),7225(a,1,2))]. 7230 T(x,T((y * x) / z,u)) = T(x,T(y / (z / x),u)). [para(735(a,1),7225(a,1,2))]. 7235 K(x,R(y,z,y)) = K(x,y). [hyper(236,a,5102,a(flip),b,7214,a)]. 7236 K(x,R(y,z,y)) != u | K(x,y) = u. [para(7214(a,2),5106(a,1))]. 7237 R(K(x,y),z,y) = K(x,y). [hyper(236,a,6815,a(flip),b,7235,a(flip)),flip(a)]. 7238 K(x,T(y,y \ z)) = K(x,T(y,z)). [para(4297(a,1),7235(a,1,2))]. 7239 K(x,y) * T(R(y,z,y),x) = R(y,z,y). [para(7235(a,1),4845(a,1,1))]. 7240 R(x * K(y,x),z,x) = R(x,z,x) * K(y,x). [para(7235(a,1),5658(a,1,2)),flip(a)]. 7242 (K(x,y) * z) * y = K(x,y) * (z * y). [para(7237(a,1),113(a,1,1)),flip(a)]. 7243 K(x,(K(y,x) * z) \ u) = K(x,z \ (K(x,y) * u)). [para(5289(a,1),7219(a,1,2)),flip(a)]. 7244 K(T(x,y),z) = T(K(x,z),y). [hyper(236,a,6288,a(flip),b,7211,a(flip))]. 7245 K((x \ y) \ y,z) = K(T(x,y),z). [para(120(a,1),7211(a,1,1))]. 7246 K(T(x / (x / y),x),z) = K(y,z). [para(270(a,1),7211(a,1,1)),flip(a)]. 7247 K(T(x / y,x),z) = K(y \ x,z). [hyper(236,a,6271,a(flip),b,7244,a)]. 7248 K(T(x,K(y,z)),y) = K(x,y). [hyper(236,a,2190,a(flip),b,7244,a)]. 7249 x * K(T(y,x),z) = K(y,z) * x. [para(7244(a,2),119(a,1,2))]. 7252 (K(x,y) \ z) * K(x,y) = T(z,K(x,y)). [para(7223(a,1),4113(a,1,1))]. 7253 T(x,T((y * x) / z,z / x)) != u | T(x,(z / x) \ y) = u. [para(740(a,1),7226(a,1,2))]. 7255 K(x,T(y,y \ z)) != u | K(x,T(y,z)) = u. [para(4297(a,1),7236(a,1,2))]. 7256 K(x,T(y,z)) = T(K(x,y),z). [hyper(236,a,6437,a(flip),b,7238,a(flip))]. 7257 K(x,(y \ z) \ z) = K(x,T(y,z)). [para(120(a,1),7238(a,1,2))]. 7258 K(x,T(y,z \ 1)) = K(x,T(y,z \ y)). [para(4070(a,1),7238(a,1,2))]. 7259 T(K(x * y,x),y) = K(x * y,x). [hyper(6443,a,7256,a),flip(a)]. 7260 K(T(x,y),z) = K(x,T(z,y)). [hyper(236,a,7244,a,b,7256,a),flip(a)]. 7261 R(T(K(x,(y / z) \ x),u),x,z) = K(x,T((y / (x * z)) \ 1,u)). [hyper(236,a,6845,a,b,7256,a),flip(a)]. 7262 R(T(K(x,y),z),y * u,w) = K(x,T(R(y,u,w),z)). [hyper(236,a,6832,a,b,7256,a),flip(a)]. 7263 L(T(K(x,(y \ z) \ u),w),u,y) = K(x,T(z \ (y * u),w)). [hyper(236,a,6613,a,b,7256,a),flip(a)]. 7264 K((x \ y) \ y,z) = K(x,T(z,y)). [hyper(236,a,6268,a,b,7256,a),flip(a)]. 7265 K(x,K(y,z)) * K(z,y) = K(z,T(y,x)). [hyper(236,a,5841,a,b,7256,a),flip(a)]. 7266 K(x,y) * K(z,K(y,x)) = K(x,T(y,z)). [hyper(236,a,5839,a,b,7256,a),flip(a)]. 7267 K(1 / T(x,y),z) = K(1 / x,T(z,y)). [hyper(236,a,5678,a,b,7256,a),flip(a)]. 7268 K(T(x,y) \ 1,z) = K(x \ 1,T(z,y)). [hyper(236,a,5675,a,b,7256,a),flip(a)]. 7269 K(x,T(y,z) \ 1) = K(x,T(y \ 1,z)). [hyper(236,a,5644,a,b,7256,a),flip(a)]. 7270 K(x,T(y,z * y)) = K(x,T(y,z)). [hyper(236,a,6439,a(flip),b,7256,a)]. 7271 K(x,T(y / z,y)) = K(x,z \ y). [hyper(236,a,6420,a(flip),b,7256,a)]. 7272 K(x / y,T(z,x)) = K(y \ x,z). [hyper(236,a,6271,a(flip),b,7256,a)]. 7273 K(x,T(y,R(x,z,u))) = K(x,y). [hyper(236,a,3275,a(flip),b,7256,a)]. 7274 K(x,T(y,L(x,z,u))) = K(x,y). [hyper(236,a,3273,a(flip),b,7256,a)]. 7275 K(x,T(y,1 / x)) = K(x,y). [hyper(236,a,1394,a(flip),b,7256,a)]. 7276 x * K(y,T(z,u)) = x * T(K(y,z),u). [hyper(21,a,7256,a)]. 7277 K(x,T(y,K(x,z))) = K(x,y). [hyper(5853,a,7256,a(flip)),flip(a)]. 7278 K(x,T(T(y,z),u)) = T(K(x,T(y,u)),z). [para(38(a,1),7256(a,1,2))]. 7279 L(K(x,T(y,z)),u,w) = T(L(K(x,y),u,w),z). [para(7256(a,2),40(a,1,1))]. 7280 K(x,L(T(y,z),u,w)) = T(K(x,L(y,u,w)),z). [para(40(a,2),7256(a,1,2))]. 7281 x * K(y,T(z,x)) = K(y,z) * x. [para(7256(a,2),119(a,1,2))]. 7283 x * K(y,T(z,x)) != u | K(y,z) * x = u. [para(7256(a,2),220(a,1,2))]. 7284 x * (y * K(z,T(u,y))) = x * (K(z,u) * y). [para(7256(a,2),161(a,1,2,2))]. 7285 L(x \ K(y,T(z,u)),x,u) = (u * x) \ (K(y,z) * u). [para(7256(a,2),402(a,1,1,2))]. 7286 x * (y * K(z,T(u,y))) != w | x * (K(z,u) * y) = w. [para(7256(a,2),535(a,1,2,2))]. 7287 x * (y * K(z,T(u,x * y))) = L(K(z,u),y,x) * (x * y). [para(7256(a,2),606(a,1,2,2))]. 7288 T(x,K(y,T(z,x))) = T(x,K(y,z)). [para(7256(a,2),4104(a,1,2))]. 7289 x * T(K(x,y),z) = T(x,T(y,z)). [para(7256(a,1),4887(a,2,2)),flip(a)]. 7291 T(K(x,y),y \ 1) != z | K(x,y) = z. [para(7256(a,1),5444(a,1))]. 7292 T(x,y) * K(z,T(u,x)) != w | K(x,y) * (K(z,u) * x) = w. [para(7256(a,2),5256(a,1,2))]. 7293 K(x,T(y,K(z,u))) * K(u,z) = K(u,z) * K(x,y). [para(7256(a,2),5846(a,1,1))]. 7294 K(x,T(y,z)) \ T(u / (u / K(x,y)),z) = K(K(x,y) \ u,T(K(x,y),z)). [para(7256(a,2),5812(a,1,1))]. 7295 K(x,K(y,z)) * (K(z,y) * u) = K(z,T(y,x)) * u. [para(7256(a,2),5843(a,2,1))]. 7296 K(x,T((y \ 1) * ((z \ y) * z),u)) = K(x,K(z \ y,T(z,u))). [para(7256(a,2),5933(a,2,2))]. 7297 K(x,T(y / z,y)) != u | K(x,z \ y) = u. [para(7256(a,2),6480(a,1))]. 7298 K(x / y,T(z,x)) != u | K(y \ x,z) = u. [para(7256(a,2),6500(a,1))]. 7299 K(x,T(L(y,z / y,u),w)) = T(L(K(x,y),z,u),w). [para(6582(a,1),7256(a,2,1))]. 7300 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(7256(a,2),6909(a,1,1))]. 7301 R(K(x,T(y,z)),K(y,x) * u,(K(y,x) * u) \ z) = z \ (u * ((K(y,x) * u) \ z)). [para(7256(a,2),5292(a,1,1))]. 7302 x / K(y,T(z,x)) = K(y,z) \ x. [para(7256(a,2),7223(a,1,2))]. 7303 K(x,T(y,z)) \ 1 = K(y,T(x,z)). [hyper(5284,a,7260,a)]. 7304 K(T(x,L(y,z,u)),y \ 1) = K(x,y \ 1). [hyper(236,a,5528,a(flip),b,7260,a)]. 7305 x * K(T(y,z),u) = x * K(y,T(u,z)). [hyper(21,a,7260,a)]. 7306 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(T(x,z),T(y,u)). [hyper(236,a,5815,a,b,7260,a(flip)),flip(a)]. 7307 K(x,T(y,x * z)) = K(T(x,z),y). [hyper(236,a,7210,a(flip),b,7260,a(flip))]. 7308 K(x,T(y,x \ z)) = T(K(x,y),z). [hyper(236,a,6288,a(flip),b,7260,a(flip))]. 7309 K(T(x,y),T(z,u)) = K(x,T(T(z,y),u)). [para(38(a,1),7260(a,2,2))]. 7310 K(L(T(x,y),z,u),w) = K(L(x,z,u),T(w,y)). [para(40(a,2),7260(a,1,1))]. 7311 K(R(T(x,y),z,u),w) = K(R(x,z,u),T(w,y)). [para(42(a,2),7260(a,1,1))]. 7312 K(x / y,T(z,y)) = K(y \ x,z). [para(121(a,1),7260(a,1,1)),flip(a)]. 7313 K(T(x,y),z / y) = K(x,y \ z). [para(121(a,1),7260(a,2,2))]. 7314 K((x * y) / x,T(z,x)) = K(y,z). [para(162(a,1),7260(a,1,1)),flip(a)]. 7316 K(L(x,y,z),T(u,x)) = K(L(x,y,z),u). [para(132(a,1),7260(a,1,1)),flip(a)]. 7317 K(x,T(y,T(T(x,z),u))) = K(x,y). [para(411(a,1),7260(a,1,1)),flip(a)]. 7318 K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,x \ y)). [para(260(a,1),7260(a,1,1))]. 7319 K(x,T(y,R(T(x,z),u,w))) = K(x,y). [para(811(a,1),7260(a,1,1)),flip(a)]. 7320 T(x,y) * K(x,T(z,y)) = T(T(x,y),z). [para(7260(a,1),4887(a,2,2)),flip(a)]. 7321 K(x,T(y,z)) * T(x,z) = T(T(x,z),y). [para(7260(a,1),4897(a,2,1)),flip(a)]. 7322 x * K(T(x,y),z) != u | T(x,T(z,y)) = u. [para(7260(a,2),4890(a,1,2))]. 7323 K(x,T(y,z)) \ u = K(y,T(x,z)) * u. [para(7260(a,1),5260(a,1,1))]. 7324 T(x,y) * (z * K(x,T(z,y))) = T(T(x,y),z) * z. [para(7260(a,1),4924(a,1,2,2))]. 7325 K(x,T(y,z)) * (y \ u) = T(y,T(x,z)) \ u. [para(7260(a,1),5204(a,1,1))]. 7327 K(x,T(y,z)) \ u != w | K(y,T(x,z)) * u = w. [para(7260(a,1),5286(a,1,1))]. 7328 K(x,T(y,z)) * T(x,z) = T(T(x,y),z). [para(7260(a,1),4966(a,1,1))]. 7330 T(x,y) * K(z,T(T(x,y),u)) = T(x * K(T(z,u),x),y). [para(7260(a,1),5493(a,1,2))]. 7331 T(T(x,K(y,z)) * K(y,x),y) = T(x,K(y,z)). [para(7277(a,1),4853(a,1,1,2))]. 7332 K(x,y / R(x,z,u)) = K(x,R(x,z,u) \ y). [para(121(a,1),7273(a,1,2)),flip(a)]. 7333 T(x,L(y,z,u)) * K(y,x) != w | T(x * K(y,x),L(y,z,u)) = w. [para(7274(a,1),5811(a,1,2))]. 7334 K(T(R(x,x \ y,y \ z),z),u) = K(((x \ y) * (y \ z)) \ z,u). [para(685(a,1),7245(a,1,1,1)),flip(a)]. 7335 K((x * (y \ z)) \ (x * z),u) = L(K(T(y,z),u),z,x). [para(7245(a,1),6565(a,1,1)),flip(a)]. 7336 K(x / y,z) * y = y * K(y \ x,z). [para(121(a,1),7249(a,1,2,1)),flip(a)]. 7337 K((x * y) / x,z) * x = x * K(y,z). [para(162(a,1),7249(a,1,2,1)),flip(a)]. 7338 K(x,(y * (z \ u)) \ (y * u)) = L(K(x,T(z,u)),u,y). [para(7257(a,1),6593(a,1,1)),flip(a)]. 7340 L(x,y / z,K(z \ y,u)) != w | w = x. [para(7272(a,1),3980(a,1,3))]. 7343 K(R(x / y,z,u) / w,y \ x) = K(w \ R(x / y,z,u),y \ x). [para(5250(a,1),7272(a,1,2))]. 7345 K((x * y) / (z * y),T(u,x)) = R(K(z \ x,u),x,y). [para(7272(a,1),6675(a,1,1)),flip(a)]. 7347 (x \ y) / K(x,T(z,T(x,z) \ y)) = T(x,z) \ y. [hyper(74,a,5178,a(flip),b,7281,a)]. 7348 x \ (y * K(z,T(x,y))) = T(x,z) \ y. [hyper(72,a,7281,a,b,4859,a)]. 7349 K(x \ y,T(z,y \ x)) = K(x \ y,z). [hyper(17,a,5865,a(flip),b,7281,a)]. 7350 K(x,T((y / z) \ 1,z)) = K(x,(z \ y) \ 1). [hyper(17,a,5787,a(flip),b,7281,a)]. 7351 K(x,y) * (z * K(y,T(x,z))) = z. [hyper(5285,a,7281,a(flip))]. 7352 K(x,y) * z != z * u | K(x,T(y,z)) = u. [para(7281(a,1),19(a,1))]. 7353 x * K(y,T(T(z,x),u)) = K(y,T(z,u)) * x. [para(38(a,1),7281(a,1,2,2))]. 7354 x * K(y,L(T(z,x),u,w)) = K(y,L(z,u,w)) * x. [para(40(a,2),7281(a,1,2,2))]. 7355 K(x,y / z) * z = z * K(x,z \ y). [para(121(a,1),7281(a,1,2,2)),flip(a)]. 7356 R(x,y,K(z,T(u,y))) * (K(z,u) * y) = (x * y) * K(z,T(u,y)). [para(7281(a,1),113(a,1,2))]. 7358 x / L(K(y,T(z,u)),u,x / (K(y,z) * u)) = (x / (u * K(y,T(z,u)))) * u. [para(7281(a,1),315(a,1,2,3,2))]. 7359 (K(x,y) * z) * x = z * T(x,T(y,z)). [para(7281(a,1),6188(a,1,1))]. 7360 x * K(y,K(z,T(u,x))) = K(y,K(z,u)) * x. [para(7256(a,2),7281(a,1,2,2))]. 7361 K(x,T(y,z)) * T(z,K(x,y)) = z * K(x,T(y,z)). [para(7288(a,1),119(a,1,2))]. 7362 T(x,K(y,z / x)) = T(x,K(y,x \ z)). [para(121(a,1),7288(a,1,2,2)),flip(a)]. 7363 T(x,T(y,z) \ 1) = T(x,T(y \ 1,z)). [hyper(5650,a,7289,a)]. 7364 T(T(x,y),K(y,z)) = x * T(K(x,y),z). [hyper(236,a,7135,a,b,7289,a),flip(a)]. 7365 K(x,T(y,z)) != u | K(T(x,z),y) = u. [para(7303(a,1),5116(a,1))]. 7366 K(x,T(y,x * z)) = K(x,T(y,z)). [hyper(236,a,7260,a(flip),b,7307,a)]. 7367 K(x,T(y,x \ z)) = K(x,T(y,z)). [hyper(236,a,7256,a,b,7308,a)]. 7368 T(K(x,y),x * z) = K(x,T(y,z)). [para(13(a,1),7308(a,1,2,2)),flip(a)]. 7369 K(x / y,z \ y) = K(y \ x,y / z). [hyper(236,a,7271,a(flip),b,7312,a(flip)),flip(a)]. 7370 K(x \ (y \ x),z) = K(y \ 1,T(z,x)). [hyper(236,a,5706,a(flip),b,7312,a(flip))]. 7371 K(x / y,L(y,z,u)) = K(y \ x,L(y,z,u)). [para(132(a,1),7312(a,1,2))]. 7372 K(x \ y,z) * (y / x) = T(y / x,T(z,x)). [para(7312(a,1),4897(a,2,1)),flip(a)]. 7373 K(x \ y,z) * (y / x) != u | T(y / x,T(z,x)) = u. [para(7312(a,1),4898(a,1,1))]. 7374 K((x \ y) \ z,y \ x) != u | K(z / (x \ y),y \ x) = u. [para(7312(a,1),5446(a,1))]. 7375 (x * (y / z)) * K(z \ y,u) = x * T(y / z,T(u,z)). [para(7312(a,1),6201(a,1,2))]. 7376 K(T(x,y),z \ 1) = K(x,y \ (z \ y)). [hyper(5808,a,7313,a)]. 7379 L(x,T(T(y,z),u),K(w,y)) = x. [para(7314(a,1),6839(a,1,3))]. 7380 (K(x,y) * T(T(y,z),u)) * w = K(x,y) * (T(T(y,z),u) * w). [para(7379(a,1),103(a,1,2))]. 7381 T(x,T(y,T(T(x,z),u))) = K(x,y) * x. [para(7317(a,1),4897(a,2,1))]. 7382 K(x,R(T(y,x \ z),u,w)) = K(x,T(R(y,u,w),z)). [para(42(a,2),7367(a,1,2))]. 7383 T(x,T(y,x \ z)) = x * K(x,T(y,z)). [para(7367(a,1),4887(a,2,2))]. 7384 K(x * y,T(z,y \ 1)) = K(x * y,T(z,x)). [para(6365(a,1),7367(a,1,2))]. 7385 R(K(x,T(y,z)),x * u,w) = K(R(x,u,w),T(y,x \ z)). [para(7367(a,1),6678(a,1,1))]. 7386 T(L(K(x,y),z,u),x * w) = L(K(x,T(y,w)),z,u). [para(7368(a,1),40(a,1,1)),flip(a)]. 7387 L(x,y,T(x,z)) = L(x,y,x). [hyper(6750,a,7194,a)]. 7388 L(x,y,T(z,x)) != u | L(x,y,z) = u. [para(7194(a,1),6987(a,1))]. 7390 L(T(x,y),z,T(x,u)) = T(L(x,z,x),y). [para(7387(a,1),40(a,2,1))]. 7391 L(x / y,z,x / y) = L(x / y,z,y \ x). [para(121(a,1),7387(a,1,3)),flip(a)]. 7393 T(K(x,y),(z * y) \ z) != u | K(x,y) = u. [para(6365(a,2),7291(a,1))]. 7395 (K(x,y) * z) * K(y,x) = T(z,K(y,x)). [para(5268(a,1),7222(a,1,1)),flip(a)]. 7396 T(x * K(y,z),K(z,y)) = K(y,z) * x. [para(7222(a,1),5845(a,1,1))]. 7398 T(K(x,y) * z,T(x,y)) = T(z * K(x,y),x). [para(7222(a,1),7138(a,1,1)),flip(a)]. 7399 K(x,y) * R(T(y,x),z,y) = R(y,z,y). [para(42(a,2),7239(a,1,2))]. 7400 L(x,y,K(z,x)) = x. [hyper(7030,a,7242,a)]. 7401 (K(x,y) * z) * K(K(x,y) * (z * y),y \ 1) = ((y \ 1) \ (K(x,y) * z)) * (y \ 1). [para(7242(a,1),6012(a,2,2,1)),flip(a)]. 7402 L(T(x,y),z,K(u,x)) = T(x,y). [para(7400(a,1),40(a,2,1))]. 7403 L(K(x,y),z,K(u,x)) = K(x,y). [para(7400(a,1),6577(a,1,1)),flip(a)]. 7404 L(K(x,y),z,K(u,y)) = K(x,y). [para(7400(a,1),6582(a,1,2)),flip(a)]. 7406 T(x,K(y,x) * z) = T(x,z). [hyper(6069,a,7402,a)]. 7408 L(x,y \ (K(z,y) * u),T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(7406(a,1),4400(a,1,3))]. 7409 T(x,K(x,y) * z) = T(x,z). [para(5268(a,1),7406(a,1,2)),flip(a)]. 7410 T(x,T(y,x) \ z) = T(x,y \ z). [para(5178(a,1),7406(a,1,2)),flip(a)]. 7414 T(T(x,y),K(z,x) * u) = T(T(x,y),u). [para(7314(a,1),7406(a,1,2,1))]. 7415 T(x,K(x,y) * z) = x * K(x,z). [hyper(236,a,4887,a(flip),b,7409,a)]. 7416 T(x,K(x,y) * L(K(z,x),u,w)) = x. [hyper(236,a,3185,a(flip),b,7409,a)]. 7417 K(x,K(x,y) * z) = x \ T(x,z). [hyper(72,a,7409,a(flip),b,4887,a(flip)),flip(a)]. 7418 T(x,y) * K(z,T(x,K(x,u) * y)) = T(x * K(z,x),K(x,u) * y). [para(7409(a,1),5493(a,1,1))]. 7420 K(x,L(y,z,K(u,x))) = K(x,y). [hyper(236,a,6584,a(flip),b,7403,a(flip)),flip(a)]. 7421 (K(x,y) * z) * K(y,u) = K(x,y) * (z * K(y,u)). [para(7403(a,1),103(a,1,2))]. 7422 K(L(x,y,K(z,u)),u) = K(x,u). [hyper(236,a,6579,a(flip),b,7404,a(flip)),flip(a)]. 7423 K(x,L(L(y,z,K(u,x)),w,v5)) = K(x,L(y,w,v5)). [para(45(a,1),7420(a,1,2))]. 7424 T(x,L(y,z,K(u,x))) = (K(y,x) / x) \ 1. [para(7422(a,1),4847(a,2,1,1))]. 7425 K(x,T(y,T(x,y) \ z)) = K(x,T(y,z)). [para(7410(a,2),7367(a,1,2))]. 7426 K(x,K(x,y) * z) = K(x,z). [hyper(4954,a,7415,a)]. 7427 T(x,K(x,y) * z) != u | T(x,z) = u. [para(7415(a,2),4890(a,1))]. 7429 K(x,K(x,y) \ z) = K(x,z). [para(14(a,1),7426(a,1,2)),flip(a)]. 7430 K(x,T(x,y) * z) = K(x,x * z). [para(4906(a,1),7426(a,1,2))]. 7431 K(x,K(y,x) \ z) = K(x,z). [para(5260(a,2),7426(a,1,2))]. 7432 K(x,K(y,x) * z) = K(x,z). [para(5268(a,1),7426(a,1,2)),flip(a)]. 7433 K(x,T(x,y) \ z) = K(x,x \ z). [para(5178(a,1),7426(a,1,2)),flip(a)]. 7434 K(x,y \ T(z,x)) = K(x,y \ z). [para(5540(a,1),7426(a,1,2)),flip(a)]. 7435 K(x,R(K(y,x),z,u) * w) = K(x,w). [para(5901(a,1),7432(a,1,2,1))]. 7436 K(x,K(x,y) * z) != u | K(x,z) = u. [para(7417(a,2),4956(a,1))]. 7437 K(x,T(x * K(y,z),y)) = K(x,x * K(y,z)). [para(7133(a,2),7430(a,1,2))]. 7438 K(x / y,(x / y) \ z) = K(x / y,(y \ x) \ z). [para(121(a,1),7433(a,1,2,1)),flip(a)]. 7440 K(x,K(y,R(x,z,u)) * w) = K(x,w). [para(6824(a,1),7435(a,1,2,1))]. 7441 K(x,R(x,y,z) * u) = K(x,u * R(x,y,z)). [para(4817(a,1),7440(a,1,2)),flip(a)]. 7442 K(x,K(R(x,y,z),u) * w) = K(x,w). [para(5268(a,1),7440(a,1,2)),flip(a)]. 7443 K(x,(K(x,y) * z) * u) = K(x,z * u). [para(6679(a,1),7442(a,1,2))]. 7444 K(x,T(y,(z \ u) \ y)) = K(x,T(y,u \ z)). [para(6361(a,1),7258(a,1,2)),flip(a)]. 7445 K(x \ 1,T(y,L(x,z,u))) = K(x \ 1,y). [para(263(a,1),7268(a,1,1,1)),flip(a)]. 7446 K(x,T(y \ 1,z)) = K(x,(y * z) \ z). [hyper(6476,a,7269,a),flip(a)]. 7447 K(x,T(T(y,z),u)) = T(T(K(x,y),u),z). [para(7256(a,1),7278(a,2,1))]. 7448 K(T(T(x,y),z),u) = K(x,T(T(u,y),z)). [hyper(7365,a,7309,a)]. 7449 K(x,y) * T(x,T(z,y)) = T(T(x,y),z). [hyper(5621,a,7320,a)]. 7450 T(x,y) * K(x,K(y,z)) = T(T(x,y),K(y,z)). [para(3248(a,1),7320(a,1,2,2))]. 7451 T(x,T(y,z)) \ T(T(x,z),y) = K(x,z). [hyper(72,a,7321,a(flip),b,5201,a(flip))]. 7453 K(x,K(y,z)) * T(x,y) = T(T(x,y),K(y,z)). [para(3248(a,1),7321(a,1,1,2))]. 7454 K(x,y \ z) * T(x,z) = T(T(x,z),z / y). [para(7271(a,1),7321(a,1,1))]. 7456 K(x,y) * T(T(y,z),x) = T(y,T(z,x)). [para(7328(a,1),5566(a,1,2))]. 7458 T(x,y * K(z,x)) = T(x,y). [para(7337(a,1),7406(a,1,2))]. 7459 K(x,y * K(z,x)) = K(x,y). [para(7337(a,1),7432(a,1,2))]. 7460 K(x,y * K(z,R(x,u,w))) = K(x,y). [para(7337(a,1),7440(a,1,2))]. 7461 K(L(x,y,z),u * K(w,x)) = L(x,y,z) \ L(T(x,u),y,z). [para(7458(a,1),4888(a,1,2,1)),flip(a)]. 7462 T(x,y / (z / x)) = T(x,y / (x \ z)). [para(6360(a,1),7458(a,1,2))]. 7463 K(x,y / K(z,x)) = K(x,y). [para(16(a,1),7459(a,1,2)),flip(a)]. 7464 K(x * K(y,z),z) = 1 / K(z,x). [para(7459(a,1),5102(a,1,2)),flip(a)]. 7465 K(x,y * L(K(z,x),u,w)) = K(x,y). [para(5909(a,1),7459(a,1,2,2))]. 7466 K(x,y / T(z,x)) = K(x,y / z). [para(6197(a,1),7459(a,1,2)),flip(a)]. 7467 K(x,y / (z / x)) = K(x,y / (x \ z)). [para(6360(a,1),7459(a,1,2))]. 7468 K(x,y * (z / x)) = K(x,y * (x \ z)). [para(6448(a,1),7459(a,1,2)),flip(a)]. 7469 R(K(x,y),y * K(z,x),u) = K(x,y * K(z,x)). [para(7459(a,1),6817(a,1,1))]. 7470 K(x * K(y,z),z) = K(x,z). [hyper(236,a,5102,a(flip),b,7464,a)]. 7471 K(x * K(y,z),z) != u | K(x,z) = u. [para(7464(a,2),5106(a,1))]. 7472 K(x * T(y,z),z) = K(x * y,z). [para(1251(a,1),7470(a,1,1))]. 7473 K(x \ T(y,z),z) = K(x \ y,z). [para(1249(a,1),7470(a,1,1))]. 7474 R(K(x,y),x * K(z,y),u) = K(x * K(z,y),y). [para(7470(a,1),3968(a,1,1))]. 7475 K(x * L(K(y,z),u,w),z) = K(x,z). [para(5909(a,1),7470(a,1,1,2))]. 7477 K(T(x,y) * z,y) = K(x * z,y). [para(5689(a,1),7470(a,1,1))]. 7478 K(x * K(y,T(z,u)),z) = K(x,z). [para(7260(a,1),7470(a,1,1,2))]. 7479 K(K(x,y) * z,y) = K(z,y). [para(7249(a,1),7470(a,1,1))]. 7480 K(x * K(y,z \ u),u / z) = K(x,u / z). [para(7313(a,1),7470(a,1,1,2))]. 7481 K(x * K(y,z),T(z,u)) = K(x,T(z,u)). [para(7314(a,1),7470(a,1,1,2))]. 7483 K(T(x,y) * z,x) = K(x * z,x). [para(4860(a,1),7479(a,1,1)),flip(a)]. 7484 K(K(x,y) \ z,x) = K(z,x). [para(5260(a,2),7479(a,1,1))]. 7485 K(K(x,y) * z,x) = K(z,x). [para(5268(a,1),7479(a,1,1)),flip(a)]. 7486 K(T(x,y) \ z,x) = K(x \ z,x). [para(5204(a,1),7479(a,1,1))]. 7488 K(K(x,y) * z,T(y,u)) = K(z,T(y,u)). [para(7314(a,1),7479(a,1,1,1))]. 7489 L(K(x,y),K(y,z) * x,u) = K(K(y,z) * x,y). [para(7485(a,1),6235(a,1,1))]. 7490 K(R(K(x,y),z,u) * w,x) = K(w,x). [para(6797(a,1),7485(a,1,1,1))]. 7491 K(x * K(y / z,u),y) = K(x * K(z \ y,u),y). [para(6271(a,1),7472(a,1,1,2)),flip(a)]. 7492 K((1 / ((x * y) \ x)) * z,y) = K(z * (1 / ((x * y) \ x)),y). [para(6385(a,1),7472(a,1,1)),flip(a)]. 7493 K(x \ (y / z),z) = K(x \ (z \ y),z). [para(121(a,1),7473(a,1,1,2)),flip(a)]. 7494 K(L(T(x,y),z,u) * w,y) = K(L(x,z,u) * w,y). [para(40(a,2),7477(a,1,1,1))]. 7495 K((x / (x / y)) * z,x / y) = K(y * z,x / y). [para(186(a,1),7477(a,1,1,1)),flip(a)]. 7496 K(T(x,T(y,z)) * u,y) = K(x * u,y). [para(5689(a,1),7478(a,1,1))]. 7497 (T(x,y) * z) * K(x * z,x) = T(T(x,y) * z,x). [para(7483(a,1),4887(a,2,2)),flip(a)]. 7500 K(T(x,y) \ z,T(x,u)) = T(x,u) \ T(x * K(x \ z,x),u). [para(7486(a,1),5754(a,1,2,1,2)),flip(a)]. 7501 K(x,y / (z / R(x,u,w))) = K(x,y / (R(x,u,w) \ z)). [para(6360(a,1),7460(a,1,2))]. 7502 K(x,y * (z * K(u,x))) = K(x,y * z). [para(103(a,1),7465(a,1,2))]. 7503 K(x \ T(y,z),z) != u | K(x \ y,z) = u. [para(1249(a,1),7471(a,1,1))]. 7504 K(K(x,y) * z,y) != u | K(z,y) = u. [para(7249(a,1),7471(a,1,1))]. 7505 K(x * K(y,L(z,u,w)),z) = K(x,z). [para(6584(a,1),7475(a,1,1,2))]. 7506 K((K(x,y) * z) * u,x) = K(z * u,x). [para(113(a,1),7490(a,1,1))]. 7507 K(K(R(x,y,z),u) * w,x) = K(w,x). [para(6678(a,1),7490(a,1,1,1))]. 7511 K(T(x,y) \ z,x) != u | K(x \ z,x) = u. [para(5204(a,1),7504(a,1,1))]. 7512 K((x \ y) \ z,x \ y) != u | K((y / x) \ z,x \ y) = u. [para(5757(a,1),7504(a,1,1))]. 7513 K((L(x,y,z) \ u) * L(x,y,z),x) = K(u,x). [para(249(a,1),7505(a,1,1))]. 7514 K(R(x,y,z) * u,x) = K(u * R(x,y,z),x). [para(4817(a,1),7507(a,1,1))]. 7515 K(T(x,R(y,z,u)) * w,y) = K(x * w,y). [para(4860(a,1),7507(a,1,1)),flip(a)]. 7516 T(x / y,z) \ x = y * K(z,y \ x). [hyper(5614,a,7355,a)]. 7518 x / (y * K(z,y \ x)) = T(x / y,z). [para(7355(a,1),5357(a,1,2))]. 7520 K(x,y) * (z * x) = z * T(x,T(y,z)). [hyper(236,a,7189,a(flip),b,7359,a(flip)),flip(a)]. 7521 T(x,T(y \ 1,z)) = T(x,(y * z) \ z). [hyper(6457,a,7363,a),flip(a)]. 7522 T(x,T(y \ 1,z)) != u | T(x,(y * z) \ z) = u. [para(7363(a,1),6457(a,1))]. 7523 T(T(x,1 / y),K(1 / y,z)) = x * K(x,1 / T(y,z)). [para(5653(a,2),7364(a,2,2))]. 7524 K(T(x,y) \ 1,z) = K(y \ (x \ y),z). [hyper(236,a,7268,a,b,7370,a),flip(a)]. 7525 K(x,T(y \ 1,z)) = K(x,z \ (y \ z)). [hyper(236,a,7260,a(flip),b,7376,a(flip)),flip(a)]. 7526 T(x,T(y,T(T(x,z),u))) = T(x,y). [hyper(236,a,4897,a,b,7381,a)]. 7527 T(x * K(y,x),T(z,T(x,u))) = T(x * K(y,x),z). [para(4853(a,1),7526(a,1,2,2,1))]. 7528 T(x,T(y,x \ z)) = T(x,T(y,z)). [hyper(236,a,4887,a,b,7383,a)]. 7529 T(x,T(y,x \ z)) != u | T(x,T(y,z)) = u. [para(7383(a,2),4890(a,1))]. 7530 T(x,T(y,x \ y)) = T(x,y). [para(118(a,1),7528(a,2,2))]. 7531 L(x,y,z) \ L(T(x,T(u,w)),y,z) = K(L(x,y,z),T(u,x \ w)). [para(7528(a,1),4888(a,1,2,1))]. 7532 T(x * y,T(z,y \ 1)) = T(x * y,T(z,x)). [para(6365(a,1),7528(a,1,2))]. 7533 T(x,T(x * y,y)) = T(x,x * y). [para(13(a,1),7530(a,1,2,2))]. 7534 T(x,T(y,y / x)) = T(x,y). [para(3892(a,2),7530(a,1,2))]. 7535 T(K(x,y) * z,T(z,K(y,x))) = T(K(x,y) * z,z). [para(5266(a,1),7534(a,1,2,2))]. 7536 L(T(x,y),z,T(x,u)) = L(T(x,y),z,x). [hyper(236,a,40,a,b,7390,a)]. 7537 L(T(x,y),y,T(x,z)) = T(x,x * y). [hyper(236,a,596,a(flip),b,7390,a)]. 7538 (K(x,y) * K(y,z)) * K(y,x) = K(y,z). [hyper(5853,a,7395,a(flip)),flip(a)]. 7540 (x * K(y,z)) * K(z,y) = x. [hyper(5529,a,7396,a)]. 7541 T(x * K(y,z),u) * K(z,y) = K(z,y) * T(K(y,z) * x,u). [para(7396(a,1),180(a,1,2,1)),flip(a)]. 7542 L(x * K(y,z),u,w) * K(z,y) = K(z,y) * L(K(y,z) * x,u,w). [para(7396(a,1),181(a,1,2,1)),flip(a)]. 7544 (x * (y \ z)) * K(y,y \ z) = x * (z / y). [hyper(6489,a,7540,a),flip(a)]. 7545 (x * y) * K(z,y) = x * ((z * y) / z). [hyper(6449,a,7540,a),flip(a)]. 7546 (x \ y) * K(y,x) = x \ T(y,x). [hyper(6255,a,7540,a),flip(a)]. 7547 x / K(y,z) = x * K(z,y). [hyper(303,a,7540,a),flip(a)]. 7549 (x * K(y,z)) \ x = K(z,y). [hyper(80,a,7540,a)]. 7550 (K(x,y) * z) * K(T(y,z),x) = z. [hyper(18,a,7281,a,b,7540,a)]. 7551 (K(x,y) * z) * K(y,T(x,z)) = z. [hyper(18,a,7249,a,b,7540,a)]. 7552 L(x,y,z) * K(x,1 / x) = L((x \ 1) \ 1,y,z). [hyper(18,a,6738,a,b,7540,a)]. 7553 (x / (y / z)) * K(z,z \ y) = x / (z \ y). [hyper(18,a,6360,a,b,7540,a)]. 7554 (x * T(y,z)) * K(z,y) = x * y. [hyper(18,a,6201,a,b,7540,a)]. 7555 (x / y) * K(z,y) = x / T(y,z). [hyper(18,a,6197,a,b,7540,a)]. 7556 (x / ((y * z) / y)) * K(y,z) = x / z. [hyper(18,a,6359,a(flip),b,7540,a)]. 7557 (x * K(y,z)) / z = x / T(z,y). [hyper(74,a,7540,a(flip),b,6200,a),flip(a)]. 7558 x / K(y,T(z,u)) = x * K(z,T(y,u)). [hyper(74,a,7540,a(flip),b,7305,a(flip))]. 7559 x * K(y,z) != u | u * K(z,y) = x. [para(7540(a,1),20(a,1)),flip(a)]. 7560 (x * K(y,z)) \ x != u | K(z,y) = u. [para(7540(a,1),283(a,1,2)),flip(b)]. 7561 x / K(y,z) != u | x * K(z,y) = u. [para(7540(a,1),296(a,1,1)),flip(b)]. 7562 x * L(y,K(z,u),x * K(u,z)) = (x * K(u,z)) * (K(z,u) * y). [para(7540(a,1),103(a,1,1))]. 7563 R((x * K(y,z)) / u,u,K(z,y)) = x / (u * K(z,y)). [para(7540(a,1),114(a,2,1))]. 7564 (x * K(y,z)) * (K(z,y) * u) != x * w | L(u,K(z,y),x * K(y,z)) = w. [para(7540(a,1),436(a,1,1)),flip(a)]. 7565 (x * (y * K(z,u))) \ (x * y) != w | L(K(u,z),y * K(z,u),x) = w. [para(7540(a,1),447(a,1,2,2))]. 7566 L(x * K(y,z),K(z,y),u) * K(z,y) = K(z,y) * ((u * K(z,y)) \ (u * x)). [para(7540(a,1),695(a,1,2,2,2)),flip(a)]. 7567 (x * y) \ ((x * (y * K(z,u))) * K(u,z)) != w | a(x,y * K(z,u),K(u,z)) = w. [para(7540(a,1),679(a,1,1,2))]. 7568 (x * K(y,z)) * T(z,y) = x * z. [para(7540(a,1),6188(a,1,1)),flip(a)]. 7569 (x * K(y,z)) * z = x * (z * K(y,z)). [para(7540(a,1),6265(a,1,1)),flip(a)]. 7570 (x * K(y,y \ z)) * (y \ z) = x * (z / y). [para(7540(a,1),6355(a,1,1)),flip(a)]. 7571 (x * K(y,z)) * (T(y,z) \ 1) = x * (y \ 1). [para(7540(a,1),6943(a,1,1)),flip(a)]. 7572 T(x,y * K(x,z)) = T(x,y). [para(7540(a,1),7458(a,1,2)),flip(a)]. 7573 K(x,y * K(x,z)) = K(x,y). [para(7540(a,1),7459(a,1,2)),flip(a)]. 7574 K(x * K(y,z),y) = K(x,y). [para(7540(a,1),7470(a,1,1)),flip(a)]. 7575 (x * (y * z)) * K(z,L(y,z,x)) = x * (z * y). [hyper(236,a,6581,a(flip),b,7547,a(flip))]. 7576 (x * T(y,z)) \ (x * y) = K(z,y). [hyper(72,a,6239,a(flip),b,7547,a(flip))]. 7577 (x * K(y,z)) * K(z,y) != u | u = x. [para(7547(a,1),221(a,1,1))]. 7578 R((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). [para(7547(a,1),235(a,1,1))]. 7580 R((x * K(y,z)) / u,u,K(z,y)) != w | x / (u * K(z,y)) = w. [para(7547(a,1),563(a,1,1,1))]. 7581 R((x / y) * K(z,u),K(u,z),y) != w | x / (K(u,z) * y) = w. [para(7547(a,1),563(a,1,1))]. 7582 R(x / (y * K(1 / z,z)),y / K(z,1 / z),K(z,1 / z)) = K(z,1 / z) * (x / y). [para(7547(a,1),3674(a,1,1,2))]. 7584 K(x,1 / (K(y,z) / u)) = K(x,u * K(z,y)). [para(7547(a,1),5796(a,2,2))]. 7585 (x * K(L(y \ 1,z,u) \ 1,w)) \ x = L(K(w,y),z,u). [hyper(236,a,5893,a(flip),b,7549,a)]. 7586 ((x * K(y,z)) \ x) \ u = K(y,z) * u. [para(7549(a,2),5260(a,1,1))]. 7587 (x / y) \ (x / T(y,z)) = K(z,y). [para(6197(a,1),7549(a,1,1))]. 7588 (x * T(x \ y,z)) \ y = K(z,x \ y). [para(6219(a,2),7549(a,1,1))]. 7589 (x * ((y \ (x \ z)) * y)) \ z = K(y,(x * y) \ z). [para(6307(a,1),7549(a,1,1))]. 7590 K(x,R(y,y \ z,u)) = (w * R(K(y,x),z,u)) \ w. [para(6676(a,1),7549(a,1,1,2)),flip(a)]. 7591 (K(x,y) * z) \ z = K(y,T(x,z)). [para(7249(a,1),7549(a,1,1))]. 7595 T(x,y * L(K(x,z),u,w)) = T(x,y). [para(5893(a,1),7572(a,1,2,2))]. 7597 T(x,y * T(x,z)) = T(x,y * x). [para(6201(a,1),7572(a,1,2))]. 7598 T(x,y * (z * K(x,u))) = T(x,y * z). [para(6586(a,1),7572(a,1,2))]. 7599 K(x,K(y,x * K(y,z))) = 1. [para(7573(a,2),3142(a,1,2))]. 7600 K(x,y / T(x,z)) = K(x,y / x). [para(6197(a,1),7573(a,1,2)),flip(a)]. 7601 K(x \ y,z / (y / x)) = K(x \ y,z / (x \ y)). [para(6360(a,1),7573(a,1,2))]. 7602 K(x,y * (z * K(x,u))) = K(x,y * z). [para(6586(a,1),7573(a,1,2))]. 7603 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * T(x,z),x). [para(7573(a,1),6208(a,1,1)),flip(a)]. 7605 K(R(x,y,z),u * K(x,w)) = R(x * K(u,x),y,z) \ R(x,y,z). [para(7574(a,1),5671(a,1,1,1,2)),flip(a)]. 7606 K(x * T(y,z),y) = K(x * y,y). [para(6201(a,1),7574(a,1,1))]. 7607 K(x * (y * K(z,u)),z) = K(x * y,z). [para(6586(a,1),7574(a,1,1))]. 7608 x \ T(x * y,x) = y * K(x * y,x). [para(13(a,1),7546(a,1,1)),flip(a)]. 7609 K(K(L(x,y,z),u) * w,x) = K(w,x). [para(7550(a,1),7505(a,1,1)),flip(a)]. 7610 (K(x,y) * z) \ z != u | K(y,T(x,z)) = u. [para(7551(a,1),283(a,1,2)),flip(b)]. 7611 x \ (y * K(z,x)) = T(y / T(x,z),x). [hyper(875,a,7554,a),flip(a)]. 7612 (x / T(y,z)) * y = x * K(z,y). [hyper(303,a,7554,a),flip(a)]. 7614 (x * ((y \ z) \ z)) * K(y \ z,y) = x * y. [para(120(a,1),7554(a,1,1,2))]. 7617 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(7554(a,1),468(a,1,2)),flip(a)]. 7618 (x * T(y,z)) * T(z,y) = (x * y) * z. [para(7554(a,1),6188(a,1,1)),flip(a)]. 7619 (x * y) * (z * K(y,z)) = (x * T(y,z)) * z. [para(7554(a,1),6265(a,1,1))]. 7621 x / T(y \ x,z) = y * K(z,y \ x). [hyper(290,a,7555,a),flip(a)]. 7622 (x / y) * K(x,y) = T(x,y) / y. [hyper(236,a,4115,a,b,7555,a)]. 7623 (x / K(y,z)) * K(x,K(y,z)) = K(y,z) \ x. [hyper(236,a,7223,a(flip),b,7555,a)]. 7624 (x / y) * K(z,T(y,u)) = x / T(y,T(z,u)). [hyper(236,a,7305,a(flip),b,7555,a(flip)),flip(a)]. 7625 K(x \ y,x) * K(z,y / x) = x \ (y / T(y / x,z)). [hyper(72,a,7555,a(flip),b,5573,a(flip)),flip(a)]. 7626 (x * y) / T(y,z) = x * K(z,y). [para(15(a,1),7555(a,1,1)),flip(a)]. 7627 (x / y) \ (x / T(y,z)) != u | K(z,y) = u. [para(7555(a,1),283(a,1,2)),flip(b)]. 7629 (x / T(y,z)) * K(z,y) = x / T(T(y,z),z). [para(4993(a,1),7555(a,1,2))]. 7630 (x / (y / z)) * K(u,z \ y) = x / T(y / z,T(u,z)). [para(7313(a,1),7555(a,1,2))]. 7633 (x / T(y,z)) * T(y,u) = (x * K(z,y)) * K(y,u). [para(7557(a,1),6200(a,1,1))]. 7634 (x * K(y,z / (z / u))) * K(u,u \ z) = (x / T(z / (z / u),y)) * u. [para(7557(a,1),6444(a,1,1)),flip(a)]. 7636 (x * K(y,z)) \ (x * z) = T(z,y). [hyper(80,a,7568,a)]. 7637 ((x * y) * K(z,L(u,y,x))) \ (x * (y * u)) = T(L(u,y,x),z). [hyper(72,a,103,a(flip),b,7568,a)]. 7638 (x * K(y,x \ z)) \ z = T(x \ z,y). [hyper(72,a,14,a(flip),b,7568,a)]. 7639 (x * K(y,z)) \ (x * z) != u | T(z,y) = u. [para(7568(a,1),283(a,1,2)),flip(b)]. 7640 (x * (y * K(z,u))) \ (x * (y * u)) != w | L(T(u,z),y * K(z,u),x) = w. [para(7568(a,1),447(a,1,2,2))]. 7641 (x * ((y * z) / y)) * y = (x * z) * T(y,z). [para(6447(a,1),7568(a,1,1)),flip(a)]. 7642 (x * (y \ z)) * T(y,y \ z) = (x * (z / y)) * y. [para(6448(a,1),7568(a,1,1))]. 7643 (x * (1 / T(y,z))) * T(y,z) = (x * (1 / y)) * y. [para(7024(a,1),7568(a,1,1))]. 7644 (x * K(y,z)) * z = (x * z) * K(y,z). [para(7568(a,1),7554(a,1,1)),flip(a)]. 7645 (x / y) * K(z,y) != u | x / T(y,z) = u. [para(7587(a,1),216(a,1,2)),flip(b)]. 7647 ((x / T(y,z)) * K(y,z)) \ (x / T(y,u)) = K(u,y). [para(6197(a,2),7587(a,1,1))]. 7648 T(x,(x \ y) * T(x,z)) = T(x,y). [hyper(236,a,4256,a(flip),b,7597,a)]. 7649 K(x,y / T(x,z)) = K(x,x \ y). [hyper(236,a,4994,a(flip),b,7600,a)]. 7650 K(x * T(y,z),y) = K(y * x,y). [hyper(236,a,5559,a(flip),b,7606,a)]. 7651 x \ (y * K(z,T(x,u))) = T(y / T(x,T(z,u)),x). [hyper(394,a,7305,a(flip),b,7612,a),flip(a)]. 7652 x * K(y,z) != u * z | x / T(z,y) = u. [para(7612(a,1),20(a,1))]. 7654 T((x / T(y,z)) * y,x / T(y,z)) = T(x * K(z,y),T(x / T(y,z),y)). [para(7612(a,1),3899(a,1,1)),flip(a)]. 7656 x * (K(y,x) * K(y * x,y)) = T(y * x,y) / y. [hyper(5878,a,7622,a)]. 7657 R(x * K(y,z),K(u,w),u) = (x * z) / T(z,y). [hyper(236,a,6189,a,b,7626,a),flip(a)]. 7660 (x * K(y,T(z,u))) \ (x * z) = T(z,T(y,u)). [para(7260(a,1),7636(a,1,1,2))]. 7661 T(x,x * (y / T(x,z))) = T(x,y). [para(66(a,1),7648(a,1,2)),flip(a)]. 7663 (x / T(y,z)) * K(y,y \ x) = (y * (x / T(y,z))) / y. [para(7649(a,1),4854(a,2,2)),flip(a)]. 7664 K(T(x,y) * z,x) = K(z * T(x,u),x). [hyper(236,a,7483,a,b,7650,a),flip(a)]. 7665 K(x * (y / T(x,z)),x) = K(y,x). [para(16(a,1),7650(a,1,1)),flip(a)]. 7666 x * K(y,T(z,u)) != w | w * K(z,T(y,u)) = x. [para(7260(a,1),7559(a,1,2))]. 7667 L(x * K(y,x),z,u) \ L(x,z,u) != w | K(L(x,z,u),y) = w. [para(5656(a,1),7560(a,1,1))]. 7668 R(x * K(y,x),z,u) \ R(x,z,u) != w | K(R(x,z,u),y) = w. [para(5658(a,1),7560(a,1,1))]. 7669 (x * T(x \ y,z)) \ y != u | K(z,x \ y) = u. [para(6219(a,2),7560(a,1,1))]. 7670 (x * ((x \ y) * K(z \ (x \ y),u))) \ y != w | K(u,(x * z) \ y) = w. [para(6615(a,2),7560(a,1,1))]. 7671 x / K(y,T(z,u)) != w | x * K(z,T(y,u)) = w. [para(7260(a,1),7561(a,1,2))]. 7673 (x \ T(y,z)) * K(z,(x \ 1) \ (x \ y)) != u | x \ y = u. [para(6272(a,1),7577(a,1,1)),flip(b)]. 7674 T(x,K(y,z)) * K(z,y) != u | K(z,y) * x = u. [para(7395(a,1),7577(a,1,1)),flip(b)]. 7675 T(x,y * K(L(x,z,u),w)) = T(x,y). [para(6579(a,1),7595(a,1,2,2))]. 7676 K(x * K(L(y,z,u),w),L(y,v5,v6)) = L(T(y,x),v5,v6) \ L(y,v5,v6). [para(7675(a,1),4838(a,1,1,1)),flip(a)]. 7677 T(x,y) \ R(T(x,y),z,x) = x \ R(x,z,x). [hyper(72,a,7399,a(flip),b,4859,a),flip(a)]. 7678 (K(x,y) * z) \ (y * z) = T(T(y,x),z). [hyper(5383,a,7414,a)]. 7679 K(x,y) * T(x,K(z,T(u,y))) = T(T(x,y),K(z,u)). [para(7256(a,2),7449(a,1,2,2))]. 7680 K(x,y / z) * T(z \ y,x) = T(y / z,T(z,x)). [para(121(a,1),7456(a,1,2,1))]. 7681 T(x,(y * x) / z) = T(x,y / (x \ z)). [hyper(236,a,7229,a,b,7462,a(flip)),flip(a)]. 7682 K(x,(y * x) / z) = K(x,y / (x \ z)). [hyper(236,a,7206,a,b,7467,a(flip)),flip(a)]. 7683 K(x * T(y,z),T(z,u)) = K(x * y,T(z,u)). [para(1251(a,1),7481(a,1,1))]. 7684 K(T(x,y) * z,T(x,u)) = K(x * z,T(x,u)). [para(4860(a,1),7488(a,1,1)),flip(a)]. 7685 K(T(x,y) \ z,T(x,u)) = K(x \ z,T(x,u)). [para(5204(a,1),7488(a,1,1))]. 7686 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(7496(a,1),5495(a,1,1,2))]. 7687 K(x / y,z * (y * (x / y))) = K(x / y,z * x). [para(250(a,1),7502(a,1,2,2))]. 7688 K(x,y * (z / T(u,x))) = K(x,y * (z / u)). [para(6197(a,1),7502(a,1,2,2)),flip(a)]. 7689 K(x,T(y * (z * K(u,x)),w)) = T(K(x,y * z),w). [para(7502(a,1),7256(a,2,1))]. 7690 K(x,y * (K(x,z) * u)) = K(x,y * u). [para(7550(a,1),7502(a,1,2,2)),flip(a)]. 7692 (x * y) / (x * K(z,y)) = T((x * y) / x,z). [para(13(a,1),7518(a,1,2,2,2))]. 7694 T(x,y) * T(y,T(z,T(x,y))) = K(y,z) * (x * ((x * y) / x)). [para(3875(a,1),7520(a,1,2)),flip(a)]. 7695 K((x * y) \ y,z) = K(y \ (x \ y),z). [hyper(6496,a,7524,a)]. 7696 K(x,(y * z) \ z) = K(x,z \ (y \ z)). [hyper(236,a,7446,a(flip),b,7525,a(flip)),flip(a)]. 7697 K(x,T((y / z) \ 1,y)) = K(x,y \ z). [para(65(a,1),7525(a,2,2,2))]. 7700 (x / y) * ((z * y) / z) = x * K(z,y). [hyper(303,a,7545,a),flip(a)]. 7701 (x * y) * K(z,y) = x * (y * K(z,y)). [hyper(236,a,5028,a(flip),b,7545,a)]. 7703 (x * y) * K(y \ z,y) = x * (z / (z / y)). [para(4206(a,1),7545(a,2,2))]. 7704 x \ ((x / ((y * z) / y)) * ((((y * z) / y) \ K(y,z)) * ((y * z) / y))) = T(x \ (x / z),(y * z) / y). [para(7556(a,1),901(a,2,1,2))]. 7705 (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(7556(a,1),4632(a,1,2,1))]. 7706 R(x,K(y,z),z) = x. [hyper(3158,a,7569,a)]. 7707 (x * K(y,z)) \ (x * (z * K(y,z))) = z. [hyper(80,a,7569,a)]. 7708 (x * (y * K(z,y))) / (y * K(u,y)) = (x * K(z,y)) * K(y,u). [hyper(74,a,7569,a(flip),b,6265,a)]. 7710 (x * (y * K(z,y))) * K(y,u) = (x * K(z,y)) * T(y,u). [para(7569(a,1),6201(a,1,1))]. 7711 R(x,K(y,z),T(z,u)) = x. [para(7314(a,1),7706(a,1,2))]. 7712 K(T(x * K(y,z),x),u) = K(K(y,z) * x,u). [para(7586(a,1),7245(a,1,1)),flip(a)]. 7714 (x * (y * T(y \ (x \ z),u))) \ z = K(u,(x * y) \ z). [para(857(a,1),7588(a,1,1))]. 7715 ((x * T(x \ y,z)) * u) \ (y * u) = K(z,(x * u) \ (y * u)). [para(1320(a,1),7588(a,1,1))]. 7717 K(x * (K(y,z) * u),y) = K(x * u,y). [para(7281(a,1),7607(a,1,1,2))]. 7718 K(x * (K(y,z) * u),z) = K(x * u,z). [para(7551(a,1),7607(a,1,1,2)),flip(a)]. 7719 K(x * (y / T(z,u)),u) = K(x * (y / z),u). [para(7555(a,1),7607(a,1,1,2))]. 7720 K((x \ 1) \ y,x) = K(x * y,x). [hyper(6471,a,7608,a)]. 7721 x * (y * K(x * y,x)) = T(x * y,x). [para(7608(a,1),14(a,1,2))]. 7722 (x * K(y * x,y)) * y = T(x * y,y). [para(7608(a,1),4634(a,1,1))]. 7723 (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(7608(a,2),4986(a,1,1))]. 7724 K((x \ 1) * y,x \ 1) = K(x \ y,x \ 1). [hyper(6070,a,7720,a),flip(a)]. 7725 K((1 / x) \ y,x) = K(x * y,x). [hyper(5633,a,7720,a)]. 7726 L(K(x * (y \ z),x),y \ z,y) = K((y * (x \ 1)) \ z,x). [para(7720(a,1),6569(a,1,1))]. 7728 (x * T(y,L(z,y,x))) \ (x * (y * z)) = T(L(z,y,x),y). [hyper(72,a,103,a(flip),b,7618,a)]. 7729 ((x * y) * z) / (x * T(y,z)) = T(z,y) * K(x * T(y,z),T(z,y)). [hyper(74,a,7618,a(flip),b,4900,a)]. 7731 (x * (y * z)) \ ((x * y) * z) = a(x,T(y,z),T(z,y)). [para(7618(a,1),4133(a,1,2))]. 7732 x / T(y \ x,z) = T(x / y,z) \ x. [hyper(236,a,7516,a,b,7621,a)]. 7733 ((x * (1 / y)) * K(z,L(y,y \ 1,x))) \ x = T((x * (1 / y)) \ x,z). [para(2767(a,2),7638(a,1,1,2,2))]. 7734 (T(x / y,z) \ x) \ x = T(y \ x,z). [para(7516(a,2),7638(a,1,1))]. 7735 x \ (y * K(z,x)) = (x \ y) * K(z,x). [hyper(18,a,7125,a,b,7644,a),flip(a)]. 7738 K(x,y * (T(z,x) \ u)) = K(x,y * (z \ u)). [para(5204(a,1),7690(a,1,2,2))]. 7739 1 / (x \ K(y \ (z \ y),x)) = T(x,(z * y) \ y). [para(7695(a,1),5013(a,2,2,2)),flip(a)]. 7740 (x / y) * (y * K(z,y)) = x * K(z,y). [hyper(5074,a,7700,a)]. 7741 (x / (y \ z)) * (z / y) = x * K(y,y \ z). [para(14(a,1),7700(a,1,2,1))]. 7742 K((x \ y) \ z,z) = K(y \ (x * z),z). [hyper(6626,a,7701,a),flip(a)]. 7743 L(K(x,y),y,z) = K(x,y). [hyper(436,a,7701,a)]. 7744 a(x,y,K(z,y)) = 1. [hyper(71,a,7701,a(flip),b,91,a),flip(a)]. 7745 x * K(y,z) != u * (z * K(y,z)) | u * z = x. [para(7701(a,1),20(a,1)),flip(a)]. 7746 (x * (y * K(z,y))) * z = (x * y) * T(z,y). [para(7701(a,1),6188(a,1,1))]. 7747 a(x,y,K(z,T(y,u))) = 1. [para(7260(a,1),7744(a,1,3))]. 7748 a(x,T(y,z),K(u,y)) = 1. [para(7314(a,1),7744(a,1,3))]. 7749 L(K(x,y),y,z) = L(K(x,y),y,u). [hyper(236,a,7743,a,b,7743,a)]. 7750 L(K(x,y),y,z) = K(x,((u * y) \ u) \ 1). [hyper(236,a,6421,a,b,7743,a)]. 7751 L(K(x,y \ z),y \ z,u) = K(x,(z \ y) \ 1). [hyper(236,a,6408,a,b,7743,a)]. 7753 K(L(x,y,z),y * x) = K(x,y * x). [hyper(236,a,6579,a(flip),b,7743,a(flip)),flip(a)]. 7754 L(L(K(x,y),z,u),y,w) = L(K(x,y),z,u). [para(7743(a,1),45(a,1,1)),flip(a)]. 7757 L(K(x,T(y,z)),y,u) = K(x,T(y,z)). [hyper(33,a,7747,a)]. 7758 L(K(x,y),T(y,z),u) = K(x,y). [hyper(33,a,7748,a)]. 7759 (x * T(y,z)) * K(u,y) = x * (T(y,z) * K(u,y)). [para(7758(a,1),103(a,1,2))]. 7760 (x * T(y,z)) * L(K(u,y),w,v5) = x * (T(y,z) * L(K(u,y),w,v5)). [para(7758(a,1),444(a,1,2,1))]. 7761 L(K(x,y),T(y,z),u) \ (y * w) = T(y,x) * w. [para(7758(a,2),5188(a,1,1))]. 7763 L(K(x,y),y,z) != u | K(x,y) = u. [para(7749(a,1),323(a,1)),flip(b)]. 7766 K(x \ (y * z),z) != u | K((y \ x) \ z,z) = u. [para(6568(a,1),7763(a,1))]. 7767 K(L(x,y,z),y * x) = K(x,x * y). [hyper(236,a,6605,a(flip),b,7753,a)]. 7768 K((x \ y) \ z,T(z,u)) = K(y \ (x * z),T(z,u)). [hyper(236,a,6568,a(flip),b,7757,a(flip))]. 7769 L(T(x,K(y,x)),K(y,x),z) = x. [hyper(718,a,7707,a)]. 7770 (x * K(y,z)) * z != u | x * (z * K(y,z)) = u. [para(7707(a,1),216(a,1,2)),flip(b)]. 7771 L(x,K(y,x),z) = x. [para(3137(a,1),7769(a,1,1))]. 7772 L(T(x,y),K(z,x),u) = T(x,y). [para(7771(a,1),40(a,2,1))]. 7773 (x * K(y,z)) * R(z,u,w) = x * (K(y,z) * R(z,u,w)). [para(7771(a,1),443(a,1,2,1))]. 7774 (x * K(y,z)) * L(z,u,w) = x * (K(y,z) * L(z,u,w)). [para(7771(a,1),444(a,1,2,1))]. 7777 L(T(x,y),K(z,T(x,u)),w) = T(x,y). [para(7260(a,1),7772(a,1,2))]. 7778 L(T(x,y),K(z,T(x,u)),w) = L(T(x,y),v5,K(v6,x)). [hyper(236,a,7402,a,b,7777,a)]. 7779 K(L(x,y,z),u * (K(x,w) * v5)) = L(x,y,z) / L(x * K(u * v5,x),y,z). [para(7717(a,1),5668(a,1,2,1,2)),flip(a)]. 7780 K(x * (K(y,z) * u),R(y,w,v5)) = R(y,w,v5) \ R(y * K(x * u,y),w,v5). [para(7717(a,1),5669(a,1,2,1,2)),flip(a)]. 7781 x / T((y \ x) \ x,z) = T(y,z) \ x. [para(62(a,1),7732(a,2,1,1))]. 7782 T(x / (x / y),z) \ x = x / T(y,z). [para(65(a,1),7732(a,1,2,1)),flip(a)]. 7783 (T(x,y) \ z) \ z = T((x \ z) \ z,y). [para(62(a,1),7734(a,1,1,1,1))]. 7784 K(x,T(T(y / z,u),y)) = K(x,T(z \ y,u)). [para(7734(a,1),7257(a,1,2)),flip(a)]. 7785 T(x / T(y,z),y) = (y \ x) * K(z,y). [hyper(236,a,7611,a(flip),b,7735,a(flip)),flip(a)]. 7786 x * K(y,z) != u | (x / z) * ((y * z) / y) = u. [para(7740(a,1),5059(a,1))]. 7788 K(x \ (y * z),z) * K(z,(y \ x) \ 1) = z \ R(z,(y \ x) \ 1,z). [para(7742(a,1),5641(a,1,1))]. 7789 x / T(T(y,y \ x),z) = T(y,z) \ x. [para(120(a,2),7781(a,1,2,1))]. 7790 x / (x / T(y,z)) = T(x / (x / y),z). [para(7782(a,1),62(a,1,2))]. 7791 T(1 / (1 / x),y) \ K(z,x) = K(z,x) / T(x,y). [para(5551(a,1),7782(a,1,1,1))]. 7796 K(x,T((y \ z) \ z,u)) = K(x,T(T(y,u),z)). [para(7783(a,1),7257(a,1,2))]. 7797 T(x / T(y,z),y) * y = (y \ x) * (y * K(z,y)). [para(7785(a,2),7569(a,1,1))]. 7798 ((x \ y) \ y) * (T(x,y) \ y) = x * (y / T(x,y)). [para(7789(a,1),6919(a,1,2))]. 7801 T(x / (x / y),z) \ x != u | x / T(y,z) = u. [para(7790(a,1),282(a,1,1)),flip(b)]. 7803 T(K(x,y),K(x,z) * u) = T(K(x,y),u). [hyper(236,a,6701,a(flip),b,7220,a(flip)),flip(a)]. 7805 T(K(x,y),K(z,x) * u) = T(K(x,y),u). [para(5268(a,1),7803(a,1,2)),flip(a)]. 7806 K(x,T(y,K(z,x) * u)) = T(K(x,y),u). [hyper(236,a,7256,a,b,7805,a(flip)),flip(a)]. 7807 K(x,T(y,K(z,x) * u)) = K(x,T(y,u)). [hyper(236,a,7256,a,b,7806,a)]. 7808 K(x,T(y,T(z,x))) = K(x,T(y,z)). [para(1596(a,2),7807(a,1,2,2))]. 7809 K(x,T(y,z * K(u,x))) = K(x,T(y,z)). [para(7337(a,1),7807(a,1,2,2))]. 7810 K(x \ y,T(z,(x \ y) \ T(y,x))) = K(x \ y,T(z,x * K(y,x))). [para(5043(a,1),7808(a,1,2,2))]. 7811 K(x,T(y,z * L(K(u,x),w,v5))) = K(x,T(y,z)). [para(5909(a,1),7809(a,1,2,2,2))]. 7812 K(x,T(y,z * K(x,u))) = K(x,T(y,z)). [para(7540(a,1),7809(a,1,2,2)),flip(a)]. 7814 K(x,(y \ z) \ z) != u | K(x,T(y,z)) = u. [para(120(a,1),7255(a,1,2))]. 7815 K(x,T(y,L(y,z,u) * (y \ w))) != v5 | K(x,T(y,L(y,z,u) * w)) = v5. [para(1205(a,1),7255(a,1,2,2))]. 7816 K(x,T(y * z,y \ 1)) != u | K(x,T(y * z,z)) = u. [para(4071(a,1),7255(a,1,2))]. 7817 T(K(x,y),z) != u | K(x,T(y,z)) = u. [para(6437(a,1),7255(a,1))]. 7818 K(x,T(y,z) \ 1) != u | K(x,T(y \ 1,z)) = u. [para(5644(a,2),7817(a,1))]. 7819 K(T(x,y) \ 1,z) != u | K(x \ 1,T(z,y)) = u. [para(5675(a,2),7817(a,1))]. 7820 K((x \ y) \ y,z) != u | K(x,T(z,y)) = u. [para(6268(a,2),7817(a,1))]. 7821 K(x,y \ z) != u | K(x,T(z / y,z)) = u. [para(6420(a,1),7817(a,1))]. 7822 K(((x \ 1) * y) \ y,z) != u | K(x,T(z,y)) = u. [para(6504(a,2),7817(a,1))]. 7823 K(T(x,y),z) != u | K(x,T(z,y)) = u. [para(7244(a,2),7817(a,1))]. 7824 K(x,T(y,x \ z)) != u | K(x,T(y,z)) = u. [para(7308(a,2),7817(a,1))]. 7825 K(L(T(x,y),z,u),w) != v5 | K(L(x,z,u),T(w,y)) = v5. [para(40(a,2),7823(a,1,1))]. 7826 K(x \ (y * ((x \ 1) \ 1)),z) != u | K(y,T(z,x)) = u. [para(5929(a,2),7823(a,1))]. 7827 K(x,T(y,x * z)) != u | K(x,T(y,z)) = u. [para(7307(a,2),7823(a,1))]. 7828 K(x,y \ (z \ y)) != u | K(x,T(z \ 1,y)) = u. [para(7376(a,1),7823(a,1))]. 7830 K(x,T(y * z,y)) != u | K(x,L(z \ 1,z,y) \ y) = u. [para(353(a,1),7297(a,1,2,1))]. 7831 T(x,L(y,z,K(u,x))) = T(x,y). [hyper(236,a,4847,a,b,7424,a)]. 7832 T(x,(K(y,x) * z) \ (K(y,x) * u)) = T(x,z \ u). [para(105(a,1),7831(a,1,2))]. 7833 K(x \ (y \ (z * y)),y) != u | K(x \ z,y) = u. [para(32(a,1),7503(a,1,1,2))]. 7834 K((x \ y) \ z,y / x) != u | K((y / x) \ z,y / x) = u. [para(121(a,1),7511(a,1,1,1))]. 7835 T(x,(x \ y) \ z) != u | T(x,T(z / (x \ y),y)) = u. [para(121(a,1),7529(a,1,2))]. 7836 ((x / T(y,z)) * K(y,z)) \ (x / T(y,u)) != w | K(u,y) = w. [para(6197(a,2),7627(a,1,1))]. 7838 x * K(y,T(z,x)) != u | (z * x) / T(T(z,x),y) = u. [para(138(a,1),7645(a,1,1))]. 7840 K(x,((y * z) \ y) \ 1) != u | K(x,z) = u. [para(7750(a,1),323(a,1)),flip(b)]. 7841 L(L(K(x,y),z * y,u),y,w) = K(x,L(y,z,u)). [hyper(236,a,6584,a(flip),b,7754,a)]. 7842 K(x * y,T(z,y \ 1)) != u | K(x * y,T(z,x)) = u. [para(6365(a,1),7824(a,1,2))]. 7843 K(x,(x * y) \ z) != u | K(x,T(z / (x * y),y)) = u. [para(121(a,1),7827(a,1,2))]. 7845 K(x,(y \ K(z,u)) \ 1) != w | K(x,K(u,z) * y) = w. [para(5268(a,1),7840(a,1,2,1,1))]. 7848 L(K(x,T(y,z \ u)),z \ u,z) != w | u \ (z * (K(x,y) * (z \ u))) = w. [para(7279(a,2),757(a,1))]. 7849 K(R(T(x,y),z,u),L(y,w,v5)) = K(R(x,z,u),L(y,w,v5)). [para(132(a,1),7311(a,2,2))]. 7850 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(T(x,y),w). [para(1929(a,1),7311(a,1,1)),flip(a)]. 7851 K(R(T(x,K(y,z)),u,w),z) = K(R(x,u,w),z). [para(3137(a,1),7311(a,2,2))]. 7852 K(x \ y,z \ (x \ y)) * (y / x) = T(y / x,T((x * z) \ y,x)). [para(6601(a,1),7372(a,1,1))]. 7853 K(x * L(y,z,u),T(y,x)) = K(x * L(y,z,u),y). [hyper(5450,a,7384,a),flip(a)]. 7854 K(x,T(y,z \ (u * y))) = K(x,T(y,z \ u)). [para(6611(a,1),7444(a,1,2))]. 7855 T(x,y) * K(x,K(y,z)) = x * T(K(x,y),z). [hyper(236,a,7364,a(flip),b,7450,a)]. 7856 K(x,K(y,z)) * T(x,y) = T(x,T(y,z)). [hyper(236,a,7135,a(flip),b,7453,a)]. 7857 K(T(x,y \ x) / y,z \ x) * (x / y) = T(T(T(x,y \ x) / y,x),x / z). [para(3897(a,1),7454(a,1,2))]. 7858 K(x * T(y,z \ u),u / z) = K(x * y,u / z). [para(1251(a,1),7480(a,1,1))]. 7859 T(x * y,T(y,x)) != z | T(x * y,y) = z. [para(7532(a,1),5859(a,1))]. 7860 (x * (y / z)) / (z \ y) = x * K(z,z \ y). [hyper(74,a,7544,a(flip),b,7644,a)]. 7863 (x * K(y * K(z,y),z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). [para(4853(a,1),7571(a,1,2,1))]. 7864 (T(x,y) \ y) * ((x \ y) \ y) = T(y,x). [hyper(18,a,4726,a,b,7614,a)]. 7865 ((x * T(y,z)) * z) / (T(y,z) * z) = R(x,y,z * K(y,z)). [hyper(74,a,7619,a(flip),b,5301,a)]. 7867 (x * T(y \ z,y)) * y = (x * (y \ z)) * (z / (z / y)). [para(4799(a,2),7619(a,1,2)),flip(a)]. 7868 ((((x * T(y,x)) * z) / (x * T(y,x))) * ((y * x) / y)) * y = (x * T(y,x)) * R(z,x,T(y,x)). [hyper(236,a,812,a(flip),b,7641,a)]. 7869 K(((x \ y) \ 1) * z,T(y \ x,u)) = K(z * ((x \ y) \ 1),T(y \ x,u)). [para(6370(a,1),7683(a,1,1)),flip(a)]. 7870 K((x / y) \ z,T(x / y,u)) = K((y \ x) \ z,T(x / y,u)). [para(121(a,1),7685(a,1,1,1)),flip(a)]. 7871 (x * (y * K(z,y))) / (x * K(z,y * K(z,y))) = (x * y) / x. [hyper(236,a,4939,a(flip),b,7692,a)]. 7872 K(x * (((y \ 1) \ z) / z),y) = K(x * (z \ ((y \ 1) \ z)),y). [para(4080(a,1),7719(a,1,1,2)),flip(a)]. 7873 K(((x \ y) \ 1) * z,y \ x) = K((x \ y) \ z,(x \ y) \ 1). [hyper(6474,a,7724,a)]. 7874 K(x * (y \ 1),y \ 1) = K(y \ x,y \ 1). [hyper(236,a,5559,a,b,7724,a(flip)),flip(a)]. 7875 (R(x \ y,z,x \ y) / (x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). [hyper(236,a,7240,a,b,7741,a)]. 7876 ((x * y) * T(z,y)) / ((y * K(z,y)) * z) = R(x,y * K(z,y),z). [hyper(74,a,7746,a(flip),b,113,a)]. 7878 (x * (y * T(z,y))) \ ((x * y) * T(z,y)) = a(x,y * K(z,y),z). [para(7746(a,1),6204(a,1,2))]. 7879 K(R(K(x,y) * z,u,w),y) = K(R(z * K(x,y),u,w),y). [para(7222(a,1),7851(a,1,1,1)),flip(a)]. 7880 K(x,T(y \ z,u \ z)) = K(x,T(y \ z,u \ y)). [para(14(a,1),7854(a,1,2,2,2))]. 7881 K(x,y) * K(x,K(y,z)) = T(K(x,y),z). [hyper(5183,a,7855,a)]. 7882 K(x,K(y,z)) * K(x,y) = T(K(x,y),z). [hyper(5870,a,7881,a)]. 7883 K(x,y) * K(x,K(y,z)) = K(x,T(y,z)). [hyper(236,a,7256,a,b,7881,a)]. 7884 K(x,K(y,R(x,z,u))) = 1. [hyper(71,a,3275,a(flip),b,7881,a),flip(a)]. 7885 K(x,K(y,z)) = K(z,K(y,x)). [hyper(17,a,5839,a,b,7881,a)]. 7886 K(K(x,y),z) = K(x,K(y,z)). [hyper(17,a,4887,a(flip),b,7881,a),flip(a)]. 7887 T(K(x,y),K(z,y) \ u) = K(x,y) * K(x,K(y,u)). [para(7431(a,1),7881(a,1,2,2)),flip(a)]. 7888 K(x,y) * K(x,K(y,z)) != u | K(x,T(y,z)) = u. [para(7881(a,2),7817(a,1))]. 7889 T(x,K(y,R(x,z,u))) = x. [hyper(37,a,7884,a)]. 7890 T(T(x,y),K(z,R(x,u,w))) = T(x,y). [para(7889(a,1),38(a,1,1)),flip(a)]. 7891 (K(x,y) * z) * K(y,K(x,z)) = z * K(x,y). [para(7885(a,1),95(a,1,2))]. 7892 K(x,K(y,z)) \ K(y,x) = T(K(y,x),z). [para(7885(a,1),4846(a,2,1)),flip(a)]. 7893 x * K(y,K(z,x)) = T(x,K(z,y)). [para(7885(a,1),4887(a,2,2)),flip(a)]. 7894 K(x,K(y,z)) * z = T(z,K(y,x)). [para(7885(a,1),4897(a,2,1)),flip(a)]. 7895 K(x,K(y,z)) \ K(y,x) != u | T(K(y,x),z) = u. [para(7885(a,1),4864(a,1,1))]. 7896 x * K(y,K(z,x)) != u | T(x,K(z,y)) = u. [para(7885(a,1),4890(a,1,2))]. 7897 K(x,K(y,z)) * z != u | T(z,K(y,x)) = u. [para(7885(a,1),4898(a,1,1))]. 7898 K(x,K(y,z)) \ 1 = K(z,K(x,y)). [para(7885(a,1),5837(a,1,1))]. 7900 L(x,K(y,K(z,u)),u) = L(x,w / v5,(v5 * (w / v5)) \ w). [para(7885(a,1),4914(a,1,2))]. 7901 K(x,K(y,z)) * K(x,y) = K(x,T(y,z)). [para(7885(a,1),7265(a,1,1))]. 7902 K(x,K(y,z)) * T(z,y) = T(z,T(y,x)). [para(7885(a,1),7856(a,1,1))]. 7903 K(K(R(x \ 1,y,z) \ 1,u),w) = R(K(x,K(u,w)),y,z). [hyper(236,a,5903,a(flip),b,7886,a)]. 7904 K(x,y) * K(x,K(y,z)) != u | T(K(x,y),z) = u. [para(7886(a,1),4890(a,1,2))]. 7906 K(x,K(y,z)) * (z \ u) = T(z,K(x,y)) \ u. [para(7886(a,1),5204(a,1,1))]. 7907 K(x,K(y,z)) * (z \ u) != w | T(z,K(x,y)) \ u = w. [para(7886(a,1),5208(a,1,1))]. 7908 K(x,K(y,z)) != u | K(z,K(y,x)) = u. [para(7886(a,1),5868(a,1))]. 7909 (x * K(y,z)) * K(y,K(z,u)) = x * T(K(y,z),u). [para(7886(a,1),6201(a,1,2))]. 7911 (K(x,y) / z) * K(x,K(y,1 / z)) = T(K(x,y),1 / z) / z. [para(7886(a,1),6539(a,1,2))]. 7912 K(x,K(K(x,y) \ z,u)) = K(K(x,z),u). [para(7429(a,1),7886(a,1,1)),flip(a)]. 7913 K(K(x,y) * z,K(x,u)) = K(K(z,x),u). [para(7485(a,1),7886(a,1,1)),flip(a)]. 7914 (x * K(y,K(z,u))) / u = x / T(u,K(y,z)). [para(7886(a,1),7557(a,1,1,2))]. 7915 (x / y) * K(z,K(u,y)) != w | x / T(y,K(z,u)) = w. [para(7886(a,1),7645(a,1,2))]. 7916 T(x,T(y,K(z,x))) = T(x,y). [para(7893(a,1),7572(a,1,2))]. 7917 K(x,T(y,T(z,K(u,x)))) = K(x,T(y,z)). [para(7893(a,1),7812(a,1,2,2))]. 7918 T(x,T(y,T(z,x))) = T(x,T(y,z)). [para(7135(a,1),7916(a,1,2))]. 7919 K(x,K(y,z)) = K(y,K(x,z)). [hyper(5842,a,7898,a)]. 7920 K(K(x,y),z) = K(y,K(z,x)). [hyper(5116,a,7898,a)]. 7921 K(x,K(y,z)) != u | K(y,K(x,z)) = u. [para(7898(a,1),5842(a,1))]. 7922 K(K(x,y),z) = K(y,K(x,z)). [hyper(236,a,7886,a,b,7919,a),flip(a)]. 7923 K(x,K(y,z)) = K(z,K(x,y)). [hyper(236,a,7885,a,b,7919,a)]. 7924 x * K(y,K(x,z)) = T(x,K(y,z)). [para(7919(a,1),4887(a,2,2)),flip(a)]. 7925 K(x,K(y,z)) * y = T(y,K(x,z)). [para(7919(a,1),4897(a,2,1)),flip(a)]. 7926 x * K(y,K(x,z)) != u | T(x,K(y,z)) = u. [para(7919(a,1),4890(a,1,2))]. 7928 x * (K(y,K(x,z)) * u) != w | T(x,K(y,z)) * u = w. [para(7919(a,1),5344(a,1,2,1))]. 7929 (x * K(y,z)) \ K(y,K(x * K(y,z),z)) = (L(K(y,z),x,K(y,z)) * x) \ 1. [para(7919(a,1),5313(a,1,2))]. 7930 K(x,y) * K(y,K(z,x)) = T(K(x,y),z). [para(7919(a,1),5839(a,1,2))]. 7931 K(x,K(y,z * y)) = K(y,K(x,y * z)). [para(6605(a,2),7919(a,1,2))]. 7932 K(x,K(y,K(x,z) * u)) = K(y,K(x,u)). [para(7426(a,1),7919(a,1,2)),flip(a)]. 7933 x * K(y,K(z,x)) = T(x,K(y,z)). [para(7919(a,1),7893(a,1,2))]. 7934 K(x,K(y,z)) * z = T(z,K(x,y)). [para(7919(a,1),7894(a,1,1))]. 7935 K(K(x,y),z) = K(x,K(z,y)). [hyper(236,a,7885,a,b,7920,a)]. 7936 K(K(x,y),z) = K(z,K(x,y)). [hyper(236,a,7885,a,b,7922,a)]. 7937 K(x,K(y,z)) = K(x,K(z,y)). [hyper(236,a,7920,a(flip),b,7922,a(flip))]. 7938 K(x,K(y,z)) * (z * K(y,x)) = K(y,x) * z. [para(7922(a,1),4817(a,1,1))]. 7939 K(x,K(y,z)) != u | K(z,K(x,y)) = u. [para(7922(a,1),5868(a,1))]. 7940 K(x,K(R(y \ 1,z,u) \ 1,w)) = K(R(K(y,x),z,u),w). [para(5903(a,1),7922(a,1,1)),flip(a)]. 7942 K(x,K(y,z)) * y = T(y,K(z,x)). [para(7923(a,1),4897(a,2,1)),flip(a)]. 7945 K(x,K(y,z)) * (z * u) = T(z,K(x,y)) * u. [para(7923(a,2),4906(a,1,1))]. 7946 K(x,K(y,z)) * (z * u) != w | T(z,K(x,y)) * u = w. [para(7923(a,2),5216(a,1,1))]. 7947 K(x,K(y,z)) != u | K(K(x,z),y) = u. [para(7923(a,1),5836(a,1))]. 7948 K(x,y) * K(x,K(z,y)) = T(K(x,y),z). [para(7923(a,1),5839(a,1,2))]. 7949 K(x,K(y,((1 / z) / (u / z)) \ 1)) * (u / z) = T(u,K(x,y)) / z. [para(7923(a,2),5696(a,1,1))]. 7950 (x * K(y,K(z,u \ x))) / u = T(x / u,K(y,z)). [para(7923(a,2),6275(a,1,1,2))]. 7951 x \ T(x * y,K(z,u)) = y * K(z,K(u,(x \ 1) \ y)). [para(7923(a,2),6273(a,2,2))]. 7952 x * (y * K(z,K(u,(x \ 1) \ y))) = T(x * y,K(z,u)). [para(7923(a,2),6304(a,1,2,2))]. 7953 K(x,K(y,T(z,u))) = K(z,K(x,T(y,u))). [para(7260(a,1),7923(a,1,2))]. 7954 K(x,K(y,z)) * K(y,x) = K(y,T(x,z)). [para(7923(a,2),7265(a,1,1))]. 7955 K(x,y) * K(x,K(z,y)) = K(x,T(y,z)). [para(7923(a,1),7266(a,1,2))]. 7956 K(x,y) * K(y,K(x,z)) = K(x,T(y,z)). [para(7923(a,2),7266(a,1,2))]. 7957 (x * K(y,K(z,u))) / K(y,z) = x / T(K(y,z),u). [para(7923(a,2),7557(a,1,1,2))]. 7958 K(x,K(y,z)) * x = T(x,K(z,y)). [para(7923(a,1),7894(a,1,1))]. 7959 K(x,K(y,z)) / y = 1 / T(y,K(x,z)). [hyper(74,a,7935,a(flip),b,4827,a(flip))]. 7960 K(x,K(y,z)) != u | K(y,K(z,x)) = u. [para(7935(a,1),5868(a,1))]. 7961 K(x,K(y,z)) * K(x,K(y,z)) = 1. [hyper(73,a,7936,a,b,7540,a),flip(a)]. 7962 K(x,y) \ K(K(x,y),z) = T(K(x,y),z) \ 1. [hyper(72,a,7936,a,b,4828,a(flip))]. 7963 x * (T(x,K(y,z)) \ u) = K(x,K(y,z)) * u. [para(7936(a,1),4859(a,2,1))]. 7964 K(x,K(y,z)) \ u = K(x,K(y,z)) * u. [para(7936(a,1),5260(a,1,1))]. 7965 K(x,K(y,z)) * (x \ u) = T(x,K(y,z)) \ u. [para(7936(a,1),5204(a,1,1))]. 7966 K(x,K(y,z)) * (K(x,K(y,z)) * u) != w | w = u. [para(7936(a,1),5271(a,1,1))]. 7967 K(x,K(y,z)) * u != w | K(x,K(y,z)) \ u = w. [para(7936(a,1),5283(a,1,1))]. 7968 K(x,K(y,z)) * u != w | K(x,K(y,z)) * w = u. [para(7936(a,1),5285(a,1,1))]. 7969 K(x,K(y,z)) \ u != w | K(x,K(y,z)) * u = w. [para(7936(a,1),5286(a,1,1))]. 7970 K(x,K(y,z)) * (x \ u) != w | T(x,K(y,z)) \ u = w. [para(7936(a,1),5208(a,1,1))]. 7971 K(x,K(y,z)) != u | K(x,K(z,y)) = u. [para(7936(a,1),5868(a,1))]. 7972 (x / y) * K(y,K(z,u)) = x / T(y,K(z,u)). [para(7936(a,1),7555(a,1,2))]. 7973 x / K(y,K(z,u)) != w | x * K(y,K(z,u)) = w. [para(7936(a,1),7561(a,1,2))]. 7974 (x * K(y,K(z,u))) * K(y,K(z,u)) != w | w = x. [para(7936(a,1),7577(a,1,1,2))]. 7976 x * K(x,K(y,z)) != u | T(x,K(z,y)) = u. [para(7937(a,1),4890(a,1,2))]. 7977 K(x,K(y,((1 / z) / (u / z)) \ 1)) = K(x,(T(u,y) / z) / (u / z)). [para(5682(a,1),7937(a,1,2)),flip(a)]. 7979 K(x,y) * K(z,K(x,y)) = K(x,T(y,z)). [para(7937(a,1),7266(a,1,2))]. 7980 T(x,y * T(z,K(x,u))) = T(x,y * z). [para(7924(a,1),7598(a,1,2,2))]. 7981 T(x,K(y,z)) = T(x,K(z,y)). [hyper(236,a,7893,a(flip),b,7933,a(flip))]. 7982 T(T(x,y),K(z,y)) = T(x,T(y,z)). [hyper(7185,a,7981,a),flip(a)]. 7983 T(T(x,K(y,z)),K(y,z)) = x. [hyper(5847,a,7981,a)]. 7984 K(x,y) * (z * K(y,x)) = T(z,K(x,y)). [hyper(5291,a,7981,a)]. 7985 T(T(x,K(y,z)),u) = T(T(x,u),K(z,y)). [hyper(417,a,7981,a)]. 7986 (K(x,y) * z) * K(y,x) = T(z,K(x,y)). [hyper(236,a,7395,a,b,7981,a),flip(a)]. 7987 T(x * K(y,z),K(y,z)) = K(y,z) * x. [hyper(236,a,7396,a(flip),b,7981,a)]. 7988 T(K(x,y) * z,K(y,x)) = z * K(x,y). [hyper(236,a,7222,a(flip),b,7981,a)]. 7989 T(x * y,K(z,y)) = y * T(x,T(y,z)). [hyper(236,a,6466,a(flip),b,7981,a)]. 7990 K(x,y) * T(z,K(y,x)) = z * K(x,y). [para(7981(a,1),119(a,1,2))]. 7991 T(T(x,K(y,z)),u) != w | T(T(x,u),K(z,y)) = w. [para(7981(a,1),417(a,1,1))]. 7992 T(T(x,K(y,z)),K(y,z)) != u | u = x. [para(7981(a,1),5847(a,1,1))]. 7994 T(x,K(y,z)) * K(y,z) = K(y,z) * x. [para(7981(a,1),5846(a,1,1))]. 7995 T(T(x,K(y,z)),z) = T(x,T(z,y)). [para(7981(a,1),7138(a,1,1))]. 7996 T(x,K(y,z)) * z = z * T(x,T(z,y)). [para(7981(a,1),7141(a,1,1))]. 7997 T(T(x,y),K(z,y)) != u | T(x,T(y,z)) = u. [para(7981(a,1),7185(a,1))]. 7998 T(x,L(K(y,z),T(z,u),w)) = T(x,K(z,y)). [para(7758(a,2),7981(a,1,2))]. 7999 (K(x,y) * z) / K(x,y) = T(z,K(x,y)). [hyper(672,a,7983,a),flip(a)]. 8000 K(x,y) * z != u * K(x,y) | T(z,K(x,y)) = u. [para(7983(a,1),172(a,1,2)),flip(b)]. 8001 ((K(x,y) * z) * u) / (K(x,y) * u) = T(R(z,K(x,y),u),K(x,y)). [para(746(a,2),7983(a,1,1)),flip(a)]. 8002 T(x,K(y,z)) != u | T(x,K(z,y)) = u. [para(7983(a,1),5847(a,1,1)),flip(b)]. 8003 T(x,K(y,z)) * (x \ z) = T(z,K(x,y)). [hyper(5618,a,7934,a)]. 8007 T(x,T(y,z)) * K(y,z) = K(y,z) * T(x,y). [para(7982(a,1),5846(a,1,1))]. 8008 K(T(x,T(y,z)),z) = K(T(x,y),z). [para(7982(a,1),7248(a,1,1))]. 8010 T(x * K(y,z),T(y,z)) = T(K(y,z) * x,y). [para(7396(a,1),7995(a,1,1)),flip(a)]. 8011 K(K(x,y),z) != u | K(x,K(y,z)) = u. [para(5835(a,2),7908(a,1))]. 8012 K(K(x,y),z) != u | K(z,K(x,y)) = u. [para(7922(a,2),7908(a,1))]. 8013 K(K(x,y),z) != u | K(y,K(z,x)) = u. [para(7935(a,2),7908(a,1))]. 8015 K(x,K(y,T(z,u))) != w | K(x,K(z,T(y,u))) = w. [para(7260(a,1),7971(a,1,2))]. 8016 K(x,K(y / z,T(u,z))) != w | K(x,K(u,z \ y)) = w. [para(7312(a,2),7971(a,1,2))]. 8017 T(x * y,K(y,x)) != z | x * y = z. [para(4814(a,1),7992(a,1,1)),flip(b)]. 8019 T(x \ y,K(x,y)) != z | x \ y = z. [para(7156(a,1),7992(a,1,1)),flip(b)]. 8020 x * T(y,T(x,z)) != u | T(y * x,K(z,x)) = u. [para(6466(a,1),8002(a,1))]. 8021 T(K(x,y),T(z,K(y,u))) = K(x,K(y,z)) * K(x,y). [para(7277(a,1),7882(a,1,1,2)),flip(a)]. 8022 K(x,y) * K(y,T(x,z)) = K(y,K(x,z)). [hyper(5285,a,7883,a)]. 8023 K(x,K(y,R(T(x,z),u,w))) = 1. [hyper(71,a,7319,a(flip),b,7883,a),flip(a)]. 8024 K(x,T(y,z)) != K(x,y) * u | K(x,K(y,z)) = u. [para(7883(a,1),19(a,1))]. 8025 K(x,K(y,T(z,u))) \ K(y,x) = T(K(y,x),T(z,y \ u)). [para(7367(a,1),7892(a,1,1,2))]. 8026 K(x,T(y,z)) != u | K(x,y) * K(x,K(y,z)) = u. [para(7901(a,1),5870(a,1))]. 8027 K(x,T(y,T(z,x))) != u | K(x,T(y,z)) = u. [para(7902(a,1),7436(a,1,2))]. 8028 K(x,T(y,T(z,R(x,u,w)))) = K(x,T(y,z)). [para(7902(a,1),7442(a,1,2))]. 8029 K(x,K(K(x,y) \ z,u)) = K(x,K(z,u)). [hyper(236,a,7886,a(flip),b,7912,a)]. 8030 K(K(x,y) * z,K(x,u)) = K(x,K(z,u)). [hyper(236,a,7922,a(flip),b,7913,a)]. 8031 K(K(x,y) * z,K(x,u)) = K(z,K(x,u)). [hyper(236,a,7886,a(flip),b,7913,a)]. 8032 T(K(x,y),T(z,K(u,x))) = K(x,T(y,z)). [hyper(236,a,7256,a(flip),b,7917,a(flip)),flip(a)]. 8033 K(x,y) * K(y,K(z,T(x,u))) = T(K(x,y),T(z,u)). [para(7260(a,1),7930(a,1,2,2))]. 8034 K(x,K(y,K(x,z) * u)) = K(x,K(y,u)). [hyper(236,a,7919,a,b,7932,a)]. 8036 K(x,K(y,T(z,u))) != w | K(z,K(y,T(x,u))) = w. [para(7953(a,1),7921(a,1))]. 8037 K(x,K(y,T(z,u))) != w | K(z,K(T(x,u),y)) = w. [para(7953(a,1),7960(a,1))]. 8038 K(x,T(y,z)) * K(y,x) = K(y,K(x,z)). [hyper(7559,a,7954,a)]. 8039 K(x,y) * K(y,T(x,z)) = K(x,K(y,z)). [hyper(18,a,7538,a,b,7954,a),flip(a)]. 8040 T(x,K(y,z)) * K(y,x) = x * K(y,T(x,z)). [para(7954(a,1),4856(a,1,2)),flip(a)]. 8041 (x / y) * K(y,K(z,y \ x)) = (y \ x) * K(y,T(y \ x,z)). [para(7955(a,1),5571(a,1,2)),flip(a)]. 8042 K(x,y / z) * K(x,K(u,z \ y)) = K(x,T(y / z,T(u,z))). [para(7313(a,1),7955(a,1,2,2))]. 8043 K(x,y) * K(y,T(x,z)) != u | K(x,K(y,z)) = u. [para(7956(a,1),5271(a,1,2)),flip(b)]. 8044 K(x,y) * K(y,T(x,z)) = K(z,K(y,x)). [hyper(5285,a,7979,a)]. 8045 (x * K(y,z)) / x = K(y,T(z,x)). [hyper(5058,a,7979,a)]. 8046 T(K(x,T(y,z)),z) = K(x,y). [para(7979(a,1),4853(a,1,1))]. 8047 K(x,T(y,z)) * z = z * K(x,y). [para(7979(a,1),4900(a,1,1))]. 8048 T(K(x,T(y,z)),z) != u | K(x,y) = u. [para(7979(a,1),5029(a,1,1)),flip(b)]. 8049 R(K(x,T(y,z)),u,w) * z = z * R(K(x,y),u,w). [para(7979(a,1),4938(a,1,1,1))]. 8050 (x * (y * K(z,u))) / (x * y) = L(K(z,T(u,x * y)),y,x). [para(7979(a,1),5041(a,1,1)),flip(a)]. 8051 K(x,T(T(y,z),z)) = K(x,y). [hyper(7817,a,8046,a)]. 8052 K(x \ y,T(z,y)) = K(y / x,z). [hyper(6500,a,8046,a)]. 8054 K(T(x,y),T(z,y)) = K(x,z). [hyper(236,a,7244,a,b,8046,a(flip)),flip(a)]. 8055 T(K(x,L(T(y,z),u,w)),z) = K(x,L(y,u,w)). [para(40(a,2),8046(a,1,1,2))]. 8056 T(K(x,y \ z),y) = K(x,z / y). [para(121(a,1),8046(a,1,1,2))]. 8057 x * K(y,z) != u * x | K(y,T(z,x)) = u. [para(8046(a,1),172(a,1,2)),flip(b)]. 8058 T(T(K(x,y),z),z) = K(x,y). [para(7256(a,1),8046(a,1,1))]. 8059 T(K(x,y \ z),z) = K(x,z / y). [para(7271(a,1),8046(a,1,1))]. 8061 T(K(x \ y,z),x) = K(y / x,z). [para(7312(a,1),8046(a,1,1))]. 8062 T(K(1 / T(x,y),z),y) = K(1 / x,z). [para(7267(a,2),8046(a,1,1))]. 8064 K(R(T(x,y),z,u),T(w,y)) = K(R(x,z,u),w). [hyper(236,a,7311,a,b,8051,a(flip)),flip(a)]. 8065 K(L(T(x,y),z,u),T(w,y)) = K(L(x,z,u),w). [hyper(236,a,7310,a,b,8051,a(flip)),flip(a)]. 8066 K(x,T(y \ z,z)) = K(x,z / y). [hyper(236,a,7784,a(flip),b,8051,a(flip)),flip(a)]. 8067 K((x * y) / x,z) = K(y,T(z,x)). [hyper(236,a,7314,a(flip),b,8051,a(flip))]. 8068 K(x \ y,T(z,x)) = K(y / x,z). [hyper(236,a,7312,a(flip),b,8051,a(flip)),flip(a)]. 8069 K(x,T(y \ z,y)) = K(x,z / y). [para(121(a,1),8051(a,1,2,1))]. 8070 K(x,(y * z) / y) = K(x,T(z,y)). [para(162(a,1),8051(a,1,2,1)),flip(a)]. 8071 T(T(x,y),T(z,y)) = K(x,z) * T(x,y). [para(8051(a,1),7321(a,1,1)),flip(a)]. 8073 K(K(x,y) * z,T(u,z)) = K(z * K(x,y),u). [hyper(236,a,7712,a(flip),b,8054,a(flip)),flip(a)]. 8074 K(x / (x / y),z) = K(y,T(z,x)). [hyper(236,a,7246,a(flip),b,8054,a(flip))]. 8075 K(T(x,y),T(T(z,y),u)) = K(x,T(z,u)). [para(38(a,1),8054(a,1,2))]. 8076 K(T(x,y),L(T(z,y),u,w)) = K(x,L(z,u,w)). [para(40(a,2),8054(a,1,2))]. 8077 K(T(x,y),R(T(z,y),u,w)) = K(x,R(z,u,w)). [para(42(a,2),8054(a,1,2))]. 8078 K(T(x,y),y \ z) = K(x,z / y). [para(121(a,1),8054(a,1,2))]. 8079 K(x,(y * z) / y) = K(T(x,y),z). [para(162(a,1),8054(a,1,2)),flip(a)]. 8080 K(T(x,y),R(T(z,y * u),y,u)) = K(x,(y * u) \ ((y * z) * u)). [para(984(a,1),8054(a,1,2))]. 8081 K(x \ y,T(z,(y * x) / y)) = K(y / x,z). [para(3915(a,1),8054(a,1,1))]. 8082 K(x \ T(x * y,y),z) = K(y,T(z,x * y)). [para(3955(a,1),8054(a,1,1)),flip(a)]. 8084 K(T(x,y \ z),y) = K(x,z / (z / y)). [para(4202(a,1),8054(a,1,2))]. 8085 K(x * K(y,x),z) = K(x,T(z,y)). [para(4853(a,1),8054(a,1,1)),flip(a)]. 8086 K(x,y * K(z,y)) = K(T(x,z),y). [para(4853(a,1),8054(a,1,2)),flip(a)]. 8087 x * K(T(x,y),T(z,y)) = T(x,z). [para(8054(a,2),4887(a,2,2)),flip(a)]. 8088 T(T(x,y),T(z,y)) \ x = K(z,x) * K(y,x). [para(8054(a,1),5362(a,1,1)),flip(a)]. 8089 T(x,T(y,z)) * z = (x * z) * K(x,y). [para(8054(a,1),6199(a,1,2)),flip(a)]. 8090 L(K(x,y),z * T(x,u),w) = K(L(T(x,u),z,w),T(y,u)). [para(8054(a,1),6579(a,1,1))]. 8091 R(K(x,y),T(y,z) * u,w) = K(T(x,z),R(T(y,z),u,w)). [para(8054(a,1),6824(a,1,1))]. 8092 K(T(x,y),z) * y = y * K(x,z). [para(8054(a,1),7281(a,1,2)),flip(a)]. 8093 K(x,T(y,z)) * (z * K(y,x)) = z. [para(8054(a,1),7351(a,1,2,2))]. 8094 T(K(x,y),z) * z = z * K(x,y). [para(8058(a,1),119(a,1,2)),flip(a)]. 8095 L(T(K(x,y),z),u,w) * z = z * L(K(x,y),u,w). [para(8058(a,1),181(a,1,2,1)),flip(a)]. 8096 L(T(K(x,y),z),u,w) \ (z * L(K(x,y),u,w)) = z. [para(8058(a,1),205(a,1,2,2,1))]. 8097 (K(x,T(y,z)) * z) * u = (z * K(x,y)) * u. [para(8045(a,1),89(a,1,1,1))]. 8098 (K(x,T(y,z)) * z) * u != w | (z * K(x,y)) * u = w. [para(8045(a,1),303(a,1,1,1))]. 8100 R(K(x,T(y,z)),z,u) != w | ((z * K(x,y)) * u) / (z * u) = w. [para(8045(a,1),797(a,1,1))]. 8101 T(x,T(y,z)) * (x \ z) = z * K(x,y). [hyper(5618,a,8047,a)]. 8102 K(x,T(y \ 1,z)) = K(x,y \ K(y,z)). [hyper(18,a,6049,a,b,8047,a)]. 8103 K(x,T((y \ z) \ 1,y)) = K(x,(z / y) \ 1). [hyper(18,a,5787,a,b,8047,a)]. 8104 K(x,T((y \ z) \ 1,y)) = K(x,y / z). [hyper(18,a,5939,a(flip),b,8047,a)]. 8105 (x * K(y,z)) / (y \ x) = T(y,T(z,x)). [hyper(74,a,8047,a(flip),b,4857,a)]. 8106 K(x,T(T(y,z),u)) * z = z * K(x,T(y,u)). [para(38(a,1),8047(a,1,1,2))]. 8107 K(x,y \ z) * y = y * K(x,z / y). [para(121(a,1),8047(a,1,1,2))]. 8108 R(T(K(x,T(y,z)),z * u),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(8047(a,1),615(a,1,2,1)),flip(a)]. 8109 T(x,T(y,z)) * z = x * (z * K(x,y)). [para(8047(a,1),4856(a,1,2)),flip(a)]. 8110 (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(8047(a,1),5290(a,1,1,3)),flip(a)]. 8111 T(K(x,y),z) * (z / y) = (z / y) * K(x,y). [para(6438(a,1),8047(a,1,1))]. 8112 K(x,y \ z) * z = z * K(x,z / y). [para(7271(a,1),8047(a,1,1))]. 8113 K(x \ y,z) * y = y * K(y / x,z). [para(7272(a,1),8047(a,1,1))]. 8114 K(x \ y,z) * x = x * K(y / x,z). [para(7312(a,1),8047(a,1,1))]. 8115 K(x,y * K(x,z)) != u | K(x,y) = u. [para(8047(a,1),7436(a,1,2))]. 8116 K(x,(y * K(x,z)) * u) = K(x,y * u). [para(8047(a,1),7443(a,1,2,1))]. 8117 K(x / y,x / z) = K(y \ x,z \ x). [hyper(7297,a,8052,a),flip(a)]. 8119 x / K(x / y,z) = K(y \ x,z) \ x. [para(8052(a,1),7302(a,1,2))]. 8121 K(x \ y,T(T(z,x),u)) = K(y / x,T(z,u)). [hyper(236,a,7278,a,b,8061,a(flip)),flip(a)]. 8122 (x \ y) * K(y / x,z) = T(x \ y,T(z,x)). [para(8061(a,1),7289(a,1,2))]. 8123 K(x / ((y * z) \ y),z) != u | K(((y * z) \ y) \ x,z) = u. [para(8061(a,1),7393(a,1))]. 8124 K(x,y / (y / z)) = K(x,T(z,y)). [para(65(a,1),8066(a,1,2,1)),flip(a)]. 8125 K(((x * y) * z) / (x * (y * z)),u) = K(a(x,y,z),T(u,x * (y * z))). [para(91(a,1),8067(a,1,1,1))]. 8126 K(L((x \ y) / z,z,x),u) = K((x * z) \ y,T(u,z)). [para(819(a,2),8067(a,1,1))]. 8127 K(L(x \ y,x,z),T(u,z * x)) = K((z * y) / (z * x),u). [para(105(a,2),8068(a,1,1))]. 8128 K(L(T(x,y),y,z),T(u,z * y)) = K((z * (x * y)) / (z * y),u). [para(178(a,1),8068(a,1,1))]. 8129 K(L(x \ y,x,z / x),T(u,z)) = K(((z / x) * y) / z,u). [para(453(a,2),8068(a,1,1))]. 8130 K(x \ y,T(z,x)) / (x \ y) = (1 / (x \ y)) * K(y / x,z). [para(8068(a,1),6195(a,1,2)),flip(a)]. 8131 K((x * K(y,z)) \ u,T(y,x)) = K(u / (x * K(y,z)),y). [para(7572(a,1),8068(a,1,2))]. 8132 K(x,((y * z) * u) / (y * (z * u))) = K(x,T(a(y,z,u),y * (z * u))). [para(24(a,2),8069(a,1,2,1)),flip(a)]. 8133 K(x,(y * (z * u)) / (y * z)) = K(x,T(L(u,z,y),y * z)). [para(28(a,2),8069(a,1,2,1)),flip(a)]. 8134 K(x,T(L(y \ z,y,u),u * y)) = K(x,(u * z) / (u * y)). [para(105(a,2),8069(a,1,2,1))]. 8135 K(x,L(T(y \ z,u * y),y,u)) = K(x,(u * z) / (u * y)). [para(456(a,1),8069(a,1,2))]. 8136 K(x,T((y * z) \ (y * u),z)) = K(x,L(u / z,z,y)). [para(818(a,1),8070(a,1,2)),flip(a)]. 8138 K(L(x,y,z / (y * x)),T(u,z)) = K(z / ((z / (y * x)) * y),u). [para(315(a,1),8074(a,1,1,2)),flip(a)]. 8139 K(T(x,y),(y * K(z,x)) \ u) = K(x,u / (y * K(z,x))). [para(7458(a,1),8078(a,1,1))]. 8140 ((x * ((y * z) / y)) / x) / ((x * z) / x) = K(T(y,x),z). [hyper(236,a,5054,a,b,8079,a(flip)),flip(a)]. 8142 T(x,(y * z) / y) = x * K(T(x,y),z). [para(8079(a,1),4887(a,2,2))]. 8143 K(x,(y * z) / y) != u | K(x,T(z,y)) = u. [para(8079(a,2),7823(a,1))]. 8144 (x * K(y,x)) * K(x,T(z,y)) = T(x * K(y,x),z). [para(8085(a,1),4887(a,2,2)),flip(a)]. 8145 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x * K(v5,x),y). [para(7609(a,1),8085(a,1,1,2)),flip(a)]. 8146 K(x,T(y,z) * K(u,T(y,z))) = K(x,T(T(y,u),z)). [hyper(236,a,7309,a(flip),b,8086,a)]. 8147 T(x,T(T(y,z),z)) = T(x,y). [hyper(7322,a,8087,a)]. 8148 T(x,y \ K(z,y \ 1)) = x * K(T(x,z),y \ 1). [para(4944(a,1),8087(a,1,2,2)),flip(a)]. 8149 T(x,T(T(y,z),z)) = T(x,K(x,u) * y). [hyper(236,a,7409,a,b,8147,a)]. 8150 T(T(x,y),y) * T(z,x) = z * T(T(x,y),y). [para(8147(a,1),119(a,1,2))]. 8151 T(x,T(y \ z,y)) = T(x,z / y). [para(121(a,1),8147(a,1,2,1))]. 8152 T(x,(y * z) / y) = T(x,T(z,y)). [para(162(a,1),8147(a,1,2,1)),flip(a)]. 8153 T(x,T(T(y \ z,u),y)) = T(x,T(z / y,u)). [para(183(a,1),8147(a,1,2,1))]. 8154 T(x,y * K(z,y)) = T(x,T(y,z)). [para(4853(a,1),8147(a,1,2,1)),flip(a)]. 8155 T(T(x,y),T(z,y)) = K(x,y) * T(x,z). [para(8147(a,1),7449(a,1,2)),flip(a)]. 8156 K(x,T(y,z)) * (z * x) = z * T(x,y). [para(8147(a,1),7520(a,2,2))]. 8157 x / (x * K(y,z)) = K(z,T(y,x)). [para(8092(a,1),5266(a,1,2))]. 8158 x / (x * K(y,z)) != u | K(z,T(y,x)) = u. [para(8092(a,1),5272(a,1,2))]. 8162 K(x,x \ y) * K(z,T(x,y)) = T(y / (y / x),z) \ x. [para(8124(a,1),6751(a,1,2))]. 8163 K(x,y / (y / z)) != u | K(T(x,y),z) = u. [para(8124(a,2),7365(a,1))]. 8164 T(x,R((y * z) / y,u,w)) = T(x,T(R(z,u,w),y)). [para(813(a,2),8152(a,1,2))]. 8165 T(x,T(T(y \ (z \ y),T(z,u)),y)) = T(x,(((z \ 1) \ 1) \ y) / y). [para(6048(a,1),8152(a,1,2,1)),flip(a)]. 8166 T(x,(y \ 1) \ K(z,y)) = T(x,T(y,z)). [hyper(236,a,4504,a,b,8154,a(flip)),flip(a)]. 8167 T(x,T(y,z) * K(u,T(y,z))) = T(x,T(T(y,u),z)). [para(38(a,1),8154(a,2,2))]. 8168 T(x,K(y,1 / z) / z) = T(x,T(1 / z,y)). [para(2325(a,1),8154(a,1,2))]. 8169 x / (x / K(y,z)) = K(y,T(z,x)). [para(7547(a,2),8157(a,1,2))]. 8170 T(K(x,y \ z),y) != u | K(x,z / y) = u. [para(121(a,1),8048(a,1,1,2))]. 8171 K(x \ y,T(z,y)) != u | K(y / x,z) = u. [para(6271(a,1),8048(a,1))]. 8172 K(x \ y,T(z,y / x)) != u | K(x \ y,z) = u. [para(6343(a,1),8048(a,1))]. 8173 K(T(x,y),T(z,y)) != u | K(x,z) = u. [para(7244(a,2),8048(a,1))]. 8174 K(x,T(T(y,z),z)) != u | K(x,y) = u. [para(7256(a,2),8048(a,1))]. 8175 T(K(x,y),1 / x) != z | K(x,y) = z. [para(7275(a,1),8048(a,1,1))]. 8177 T(K(x,y),L(x,z,u)) != w | K(x,y) = w. [para(7274(a,1),8048(a,1,1))]. 8178 K(x / y,T(z,y)) != u | K(y \ x,z) = u. [para(8061(a,1),8048(a,1))]. 8180 K(x,y / (x \ z)) != u | K(x,y / (z / x)) = u. [para(7553(a,1),8115(a,1,2))]. 8181 K(L(T(x,y),z,u),T(w,y)) != v5 | K(L(x,z,u),w) = v5. [para(40(a,2),8173(a,1,1))]. 8183 K(T(x,y),R(T(z,y),u,w)) != v5 | K(x,R(z,u,w)) = v5. [para(42(a,2),8173(a,1,2))]. 8184 K(x \ y,T(z,x)) != u | K(y / x,z) = u. [para(121(a,1),8173(a,1,1))]. 8185 K(T(x,y),y \ z) != u | K(x,z / y) = u. [para(121(a,1),8173(a,1,2))]. 8187 K(x,T(y \ z,y)) != u | K(x,z / y) = u. [para(121(a,1),8174(a,1,2,1))]. 8189 K(x,T(y \ z,z)) != u | K(x,z / y) = u. [para(7784(a,1),8174(a,1))]. 8190 K((x * y) / x,T(z,x)) != u | K(y,z) = u. [para(8067(a,2),8174(a,1))]. 8191 T(K(x,y) \ z,K(x,y)) = z * K(y,x). [hyper(168,a,7252,a,b,7984,a)]. 8192 T(x / T(y,z),K(z,y)) = K(z,y) * (x / y). [para(6197(a,1),7984(a,1,2)),flip(a)]. 8193 K(x,y) * (z / K(x,y)) = T(z,K(x,y)). [para(7547(a,2),7984(a,1,2))]. 8194 T(x * T(y,z),K(y,z)) = K(y,z) * (x * y). [para(7554(a,1),7984(a,1,2)),flip(a)]. 8195 K(x,y) * (z * (x * K(y,x))) = T(z * x,K(x,y)). [para(7701(a,1),7984(a,1,2))]. 8196 (K(x,y) * z) / T(x,y) = T(z,K(x,y)) / x. [hyper(74,a,7986,a(flip),b,7612,a),flip(a)]. 8198 (T(x,y) \ z) * K(x,y) = T(x \ z,K(y,x)). [para(5204(a,1),7986(a,1,1))]. 8199 ((x / (x / y)) \ z) * K(y \ x,y) = T(y \ z,K(y,y \ x)). [para(5509(a,2),7986(a,1,1))]. 8201 T(x,K(y,z)) * K(y,z) != u | K(y,z) * x = u. [para(7986(a,1),7577(a,1,1)),flip(b)]. 8202 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(7987(a,1),5848(a,1,1))]. 8203 T(K(x,y) * z,K(y,x)) = z / K(y,x). [hyper(236,a,7547,a,b,7988,a)]. 8204 T(K(x,y) * z,u) * K(y,x) = K(y,x) * T(z * K(x,y),u). [para(7988(a,1),180(a,1,2,1)),flip(a)]. 8205 x * K(y,z) != u | T(K(y,z) * x,K(y,z)) = u. [para(7988(a,1),8002(a,1))]. 8206 (x * T(y,T(x,z))) * K(x,z) = K(x,z) * (y * x). [para(7989(a,1),5846(a,1,1))]. 8207 T(x * K(y,z),u) / x = x \ T(K(y,z) * x,u). [para(7994(a,1),4623(a,1,2,1)),flip(a)]. 8208 T(x * y,K(z,y)) = T(x,K(z,y)) * y. [hyper(236,a,7989,a,b,7996,a),flip(a)]. 8209 R(T(x,K(y,z)),K(y,z),u) != w | ((K(y,z) * x) * u) / (K(y,z) * u) = w. [para(7999(a,1),797(a,1,1))]. 8210 K(K(x,y) \ z,K(x,u)) = K(x,K(z,u)). [hyper(7921,a,8029,a)]. 8211 K(K(x,y) * z,K(y,u)) = K(z,K(y,u)). [para(5268(a,1),8031(a,1,1)),flip(a)]. 8212 R(x,K(y,z) * u,K(u,K(y,w))) = x. [para(8031(a,1),6350(a,1,3))]. 8213 K(x * K(y,z),K(y,u)) = K(x,K(y,u)). [para(8047(a,1),8031(a,1,1))]. 8214 R(x,K(y,z),T(u,K(y,w))) = R(x,K(y,z),u). [hyper(6769,a,8212,a)]. 8215 K(x,K(y,T(x,z) * u)) = K(x,K(y,x * u)). [para(4906(a,1),8034(a,1,2,2))]. 8216 K(x,K(y,(z / x) \ u)) = K(x,K(y,(x \ z) \ u)). [para(5757(a,1),8034(a,1,2,2)),flip(a)]. 8217 K(x,K(y,z * K(u,x))) = K(x,K(y,z)). [para(8093(a,1),8034(a,1,2,2)),flip(a)]. 8218 K(x,K(y,z)) * K(y,x) != u | K(y,T(x,z)) = u. [para(8038(a,1),7577(a,1,1)),flip(b)]. 8221 K(x \ y,z) * K(z,y / x) = K(x,K(z,x \ y)). [para(8069(a,1),8044(a,1,2))]. 8222 K(1 / T(T(x,y),y),z) = K(1 / x,z). [hyper(236,a,5678,a,b,8062,a(flip)),flip(a)]. 8224 T(T(x,y),T(z,y)) != u | K(x,y) * T(x,z) = u. [para(8071(a,2),5522(a,1))]. 8226 (x * K(y,z)) / (y \ x) != u | T(y,T(z,x)) = u. [para(8101(a,1),296(a,1,1)),flip(b)]. 8227 K(x \ 1,y) * K(y,x \ K(x,z)) = K(x \ 1,K(y,z)). [para(8102(a,1),8039(a,1,2))]. 8228 K(x,((y \ z) * y) \ y) = K(x,y / z). [hyper(236,a,7446,a(flip),b,8104,a(flip)),flip(a)]. 8229 (x * K(y,z \ (u \ z))) / (y \ x) = T(y,T((u * z) \ z,x)). [para(7696(a,1),8105(a,1,1,2))]. 8231 (x * y) * K(z,(x * (u * y)) / (x * y)) = K(z,L(T(u,y),y,x)) * (x * y). [para(178(a,1),8107(a,1,1,2)),flip(a)]. 8232 (x * y) * K(x,z) = x * (y * K(x,z)). [hyper(236,a,8089,a(flip),b,8109,a(flip)),flip(a)]. 8233 R(K(x,y),T(y,T(z,u)) * u,w) = K(x,R(y,u * K(y,z),w)). [para(8109(a,2),6824(a,1,2))]. 8234 K(x,(y * (z \ (y \ u))) \ u) * u = u * (u / (y * (K(z,x) * (y \ u)))). [para(6027(a,1),8112(a,2,2))]. 8235 K(x \ y,z) \ (y * K(y / x,z)) != u | u = y. [para(8113(a,1),283(a,1,2))]. 8236 K(x / y,z) * K(K(y \ x,z) * x,x) = x \ T(x * K(x / y,z),x). [para(8113(a,2),7608(a,2,2,1)),flip(a)]. 8238 K(x,(y / T(z,x)) * u) = K(x,(y / z) * u). [para(7555(a,1),8116(a,1,2,1))]. 8239 K(x / y,z \ (x / y)) = K(y \ x,(z * y) \ x). [hyper(6875,a,8117,a)]. 8240 T(x,R((y * z) / y,u,w)) = x * K(T(x,y),R(z,u,w)). [para(813(a,2),8142(a,1,2))]. 8241 T(x,(y * z) / y) != u | T(x,T(z,y)) = u. [para(8142(a,2),7322(a,1))]. 8242 T(x,T(T(y,z),z)) != u | T(x,y) = u. [para(8149(a,2),7427(a,1))]. 8243 T(x,T(y \ z,y)) != u | T(x,z / y) = u. [para(121(a,1),8242(a,1,2,1))]. 8244 T(x,T(T(y \ z,u),y)) != w | T(x,T(z / y,u)) = w. [para(183(a,1),8242(a,1,2,1))]. 8245 T(K(x,y),T(z,y)) != u | T(K(x,y),z) = u. [para(7145(a,1),8242(a,1))]. 8247 K(x,T(y,z)) * (z * x) = (z * x) * K(x,y). [hyper(236,a,6201,a,b,8156,a)]. 8248 (x * T(y,z)) / T(x,y) = T(y,T(z,x)). [hyper(74,a,8156,a(flip),b,5180,a(flip))]. 8250 K(x,T(y,z)) * ((z * y) * x) = (z * y) * T(x,y). [para(7270(a,1),8156(a,1,1))]. 8251 T(K(x,y),z) * ((x \ z) * x) = (x \ z) * T(x,y). [para(7308(a,1),8156(a,1,1))]. 8253 L(x \ (y / K(z,u)),x,K(z,u)) = (K(z,u) * x) \ T(y,K(z,u)). [para(8193(a,1),105(a,2,2))]. 8254 (x / y) * (z / K(y,y \ x)) = (y \ x) * T(z,K(y,y \ x)). [para(8193(a,1),5571(a,1,2)),flip(a)]. 8255 x \ T(y,K(z,x)) = T(x \ y,K(z,x)). [hyper(4651,a,8208,a)]. 8256 K(K(x,y) \ z,T(K(x,u),w)) = K(x,K(z,T(u,w))). [para(7256(a,1),8210(a,1,2))]. 8257 K(K(x,y) * (K(y,z) * u),K(y,w)) = K(y,K(u,w)). [hyper(236,a,8030,a(flip),b,8211,a)]. 8258 K(x,K(y,z)) * (z * K(u,x)) = T(z * K(u,x),K(x,y)). [para(8217(a,1),7934(a,1,1))]. 8259 K(1 / T(x,y / x),z) = K(1 / (y / (y / x)),z). [para(186(a,1),8222(a,1,1,2,1))]. 8260 T(x,1 / T(T(y,z),z)) = x / K(1 / y,x). [para(8222(a,1),4840(a,2,2))]. 8261 K(x,y \ T(z,z \ y)) = K(x,z / y). [para(5958(a,1),8228(a,1,2))]. 8262 R(x,y,K(x,z)) = x. [hyper(7075,a,8232,a)]. 8263 L(K(x,y),z,x) = K(x,y). [hyper(7030,a,8232,a)]. 8266 T((x \ y) * z,K(x \ y,x)) = (y / x) * (z * K(x \ y,x)). [hyper(168,a,8232,a,b,5546,a)]. 8267 a(x,y,K(x,z)) = 1. [hyper(71,a,8232,a(flip),b,91,a),flip(a)]. 8270 (x * (y * K(x,z))) * x = (x * y) * T(x,z). [para(8232(a,1),6188(a,1,1))]. 8272 R(R(x,y,z),u,K(x,w)) = R(x,y,z). [para(8262(a,1),46(a,1,1)),flip(a)]. 8273 (T(x,y) * z) * K(x,u) = T(x,y) * (z * K(x,u)). [para(8262(a,1),470(a,1,1,1)),flip(a)]. 8274 (L(x,y,z) * u) * K(x,w) = L(x,y,z) * (u * K(x,w)). [para(8262(a,1),471(a,1,1,1)),flip(a)]. 8275 R(x,y,T(x,z)) = R(x,y,x). [para(8262(a,1),6770(a,1,1)),flip(a)]. 8276 a(x,y,K(x,z)) * u = u. [para(8267(a,2),11(a,1,1))]. 8277 L(K(x,y),z,x) = u \ (u * K(x,y)). [hyper(236,a,13,a,b,8263,a)]. 8278 (x * T(y,K(z,x))) \ (x * (K(x,z) * y)) = K(x,z). [hyper(236,a,5863,a,b,8263,a(flip)),flip(a)]. 8279 K(x,(x \ y) \ z) = K(x,y \ (x * z)). [hyper(236,a,6595,a(flip),b,8263,a(flip))]. 8280 K(x,(x * y) \ z) = K(x,y \ (x \ z)). [hyper(236,a,6594,a(flip),b,8263,a(flip)),flip(a)]. 8281 K(x,L(y,z,x)) = K(x,y). [hyper(236,a,6584,a(flip),b,8263,a(flip)),flip(a)]. 8282 K(L(x,y,x),z) = K(x,z). [hyper(236,a,6579,a(flip),b,8263,a(flip)),flip(a)]. 8283 (x * y) * K(x,z) != u | x * (y * K(x,z)) = u. [para(8263(a,1),219(a,1,2))]. 8284 K(x,L(L(y,z,x),u,w)) = K(x,L(y,u,w)). [para(45(a,1),8281(a,1,2))]. 8285 K(x,(x \ 1) \ y) = K(x,x * y). [para(451(a,1),8281(a,1,2)),flip(a)]. 8286 K(x,T((x \ y) \ z,u)) = K(x,T(y \ (x * z),u)). [para(725(a,1),8281(a,1,2)),flip(a)]. 8287 T(x,L(y,z,x)) = x * K(x,y). [para(8281(a,1),4887(a,2,2))]. 8288 K(L(x,y,z),L(u,w,x)) = L(K(x,u),y * x,z). [para(8281(a,1),6579(a,1,1)),flip(a)]. 8289 T(x,L(y,z,y)) = x / K(y,x). [para(8282(a,1),4840(a,2,2))]. 8290 K(x,y) * L(x,z,x) = L(T(x,y),z,x). [para(8282(a,1),4969(a,1,1))]. 8293 R(T(x,y),z,T(x,u)) = T(R(x,z,x),y). [para(8275(a,1),42(a,2,1))]. 8294 R(x / y,z,x / y) = R(x / y,z,y \ x). [para(121(a,1),8275(a,1,3)),flip(a)]. 8298 T(x,L(y,z,x)) = T(x,y). [hyper(236,a,4887,a,b,8287,a)]. 8299 T(x,(x * y) \ z) = T(x,y \ (x \ z)). [para(227(a,1),8298(a,1,2))]. 8300 T(x,(x \ y) \ z) = T(x,y \ (x * z)). [para(450(a,1),8298(a,1,2)),flip(a)]. 8301 T(x,L(y,z,y)) = T(x,y). [hyper(236,a,4840,a,b,8289,a)]. 8302 T(x,L(y,z,y)) = x * K(x,y). [hyper(236,a,7547,a(flip),b,8289,a)]. 8305 L(x,y,x) * T(z,x) = z * L(x,y,x). [para(8301(a,1),119(a,1,2))]. 8308 T(x,T(y / z,y)) = T(x,z \ y). [para(4218(a,1),8301(a,1,2))]. 8309 T(x,R(y,z,y)) = T(x,y). [para(4430(a,1),8301(a,1,2)),flip(a)]. 8310 T(x,T(y,y * z)) = T(x,T(y,z)). [para(7537(a,1),8301(a,1,2))]. 8311 T(x / R(y,z,y),y) = R(y,z,y) \ x. [hyper(280,a,8309,a),flip(a)]. 8312 R(x,y,x) * T(z,x) = z * R(x,y,x). [para(8309(a,1),119(a,1,2))]. 8313 T(x,T(y,y \ z)) = T(x,T(y,z)). [para(4297(a,1),8309(a,1,2))]. 8314 T(x,(y * z) / y) = T(x,y / (y / z)). [para(4431(a,1),8309(a,1,2))]. 8315 K(x,L(y,z,y)) = K(x,y). [hyper(4954,a,8302,a)]. 8316 L(K(x,y),z,y) = K(x,y). [hyper(6583,a,8315,a)]. 8317 (x * y) * K(z,x) = x * (y * K(z,x)). [para(8315(a,1),6586(a,1,2))]. 8318 K((x * y) \ z,x) = K(y \ (x \ z),x). [hyper(6731,a,8316,a)]. 8319 K(L(x,y,z),z) = K(x,z). [hyper(236,a,6579,a(flip),b,8316,a(flip)),flip(a)]. 8320 K((x \ y) \ z,x) = K(y \ (x * z),x). [hyper(236,a,6568,a(flip),b,8316,a(flip))]. 8323 K(L(L(x,y,z),u,w),z) = K(L(x,u,w),z). [para(45(a,1),8319(a,1,1))]. 8324 K(L(x,y,z),R(z,u,w)) = R(z,u,w) \ R(z * K(x,z),u,w). [para(8319(a,1),5669(a,1,2,1,2)),flip(a)]. 8325 K((x * (y / x)) \ (y * z),y) = K(K(x \ y,x) * z,y). [para(6151(a,1),8319(a,1,1))]. 8326 K(x,T(y,L(z,u,x))) = K(x * K(z,x),y). [para(8319(a,1),8085(a,1,1,2)),flip(a)]. 8329 T(T(x,y / z),K(y,y / z)) = T(x,z \ y). [hyper(236,a,7982,a,b,8308,a(flip)),flip(a)]. 8330 T(x,(y \ z) \ z) = T(x,T(y,z)). [para(62(a,1),8308(a,1,2,1)),flip(a)]. 8332 T(x,y \ T(x,z)) != u | T(x,T(x,z) / y) = u. [para(8308(a,1),7149(a,1))]. 8333 K(x * y,T(z,T(x,y))) = K(x * y,T(z,x)). [para(8310(a,1),7808(a,1,2))]. 8336 (R(x,y,z) \ 1) * K(x,u) = R(x,y,z) \ K(x,u). [para(8272(a,1),387(a,1,1)),flip(a)]. 8338 L(K(x,y),z,x) != u | K(x,y) = u. [para(8277(a,2),283(a,1)),flip(b)]. 8341 K(L(x,y,x),z) != u | K(x,z) = u. [para(6579(a,1),8338(a,1))]. 8342 K(x,L(y,z,x)) != u | K(x,y) = u. [para(6584(a,1),8338(a,1))]. 8343 K(x,(x * y) \ (x * z)) != u | K(x,y \ z) = u. [para(6593(a,1),8338(a,1))]. 8344 K(x,(x * y) \ z) != u | K(x,y \ (x \ z)) = u. [para(6594(a,1),8338(a,1))]. 8346 K(x,y) != z | K(R(x,u,x),y) = z. [para(4430(a,1),8341(a,1,1))]. 8348 K(x,(y * (x / y)) \ (x * z)) != u | K(x,K(y \ x,y) * z) = u. [para(6151(a,1),8342(a,1,2))]. 8349 (x * T(y,z \ y)) / T(x,y) = T(y,T(y * (z \ 1),x)). [para(1578(a,1),8248(a,1,1,2))]. 8350 T(x,T(y * K(x,z),u)) = (u * T(x,y)) / T(u,x). [para(7572(a,1),8248(a,1,1,2)),flip(a)]. 8351 T(x \ K(x,y),K(z,x)) = x \ K(x,y). [para(2191(a,1),8255(a,1,2)),flip(a)]. 8352 (x * ((y / z) / x)) * z = y * K(x,z \ (x \ y)). [para(8280(a,1),6484(a,2,2))]. 8353 L(x,y,x) * K(x,z) = L(T(x,z),y,x). [hyper(3259,a,8290,a)]. 8354 T(x,y) \ L(T(x,y),z,x) = x \ L(x,z,x). [hyper(72,a,8290,a(flip),b,4857,a)]. 8355 R(T(x,y),z,T(x,u)) = R(T(x,y),z,x). [hyper(236,a,42,a,b,8293,a)]. 8356 L(x,y,x) * (x \ z) = (z / x) * L(x,y,x). [para(121(a,1),8305(a,1,2))]. 8358 (x / R(y,z,y)) * y = y * (R(y,z,y) \ x). [para(8311(a,1),119(a,1,2)),flip(a)]. 8359 K(x * (y / R(z,u,z)),z) = K(x * (R(z,u,z) \ y),z). [para(8311(a,1),7472(a,1,1,2)),flip(a)]. 8360 R(x,y,x) * (x \ z) = (z / x) * R(x,y,x). [para(121(a,1),8312(a,1,2))]. 8363 T(x,y / (y / z)) = T(x,T(z,y)). [hyper(236,a,8152,a(flip),b,8314,a(flip))]. 8364 T(x,T(y \ z,z)) = T(x,z / y). [para(62(a,1),8363(a,1,2,2)),flip(a)]. 8366 R(x,y,K(z,x)) = x. [hyper(7075,a,8317,a)]. 8369 K(x,y) * (x * (z * K(y,x))) = T(x * z,K(x,y)). [para(8317(a,1),7984(a,1,2))]. 8371 R(R(x,y,z),u,K(w,x)) = R(x,y,z). [para(8366(a,1),46(a,1,1)),flip(a)]. 8372 (T(x,y) * z) * K(u,x) = T(x,y) * (z * K(u,x)). [para(8366(a,1),470(a,1,1,1)),flip(a)]. 8373 R(x,y,T(z,x)) = R(x,y,z). [para(8366(a,1),6770(a,1,1)),flip(a)]. 8374 R(x,y,K(z,T(x,u))) = x. [para(7260(a,1),8366(a,1,3))]. 8375 (L(x,y,z) * u) * K(w,T(x,v5)) = L(x,y,z) * (u * K(w,T(x,v5))). [para(8374(a,1),471(a,1,1,1)),flip(a)]. 8376 (((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(8371(a,1),814(a,1,1,2)),flip(a)]. 8377 K((x / (y \ 1)) \ z,x) = K(y \ (x \ z),x). [hyper(236,a,6630,a,b,8318,a(flip)),flip(a)]. 8378 K((x * y) \ z,y) = K(x \ (y \ z),y). [hyper(236,a,6511,a,b,8318,a(flip)),flip(a)]. 8379 K((x \ y) \ (x \ z),x) = K(y \ z,x). [para(14(a,1),8318(a,1,1,1)),flip(a)]. 8380 x * K(y \ (z \ x),z) = y * ((z \ (y \ x)) * z). [para(8318(a,1),6306(a,1,2))]. 8381 L(x * K(y \ (x * z),x),u,w) / L(x,u,w) = K((x \ y) \ z,L(x,u,w)). [para(8320(a,1),5666(a,1,1,1,2))]. 8382 T(x \ K(x,y),T(x,z)) = T(x \ K(x,y),x). [para(8351(a,1),7995(a,1,1)),flip(a)]. 8383 K(x,y) * (L(y,z,y) \ u) = L(T(y,x),z,y) \ u. [para(8353(a,1),5980(a,1,1)),flip(a)]. 8384 L(x,y,x) * K(x,R(z \ 1,u,w) \ 1) = L(x * R(K(x,z),u,w),y,x). [para(6800(a,1),8353(a,2,1))]. 8385 R(T(x,y),x \ y,T(x,z)) = (x \ y) \ y. [hyper(236,a,4175,a(flip),b,8355,a)]. 8387 R(T(x,y),z,x) \ T(T(x,y) * z,T(x,y)) = T(z,T(x,y)). [para(8355(a,1),1513(a,1,1))]. 8388 R(T(x * K(y,x),y),z,x * K(y,x)) = R(x,z,T(x * K(y,x),u)). [para(4853(a,1),8355(a,1,1)),flip(a)]. 8389 K(x,R(T(y,z),u,y)) = K(x,T(y,z)). [para(8355(a,1),7235(a,1,2))]. 8390 L(x * K(y \ (x \ z),x),u,w) / L(x,u,w) = K((y * x) \ z,L(x,u,w)). [para(8378(a,1),5666(a,1,1,1,2))]. 8391 T(x,L(K(y,z),T(z,u),w)) = T(z,K(y,x)) * (z \ x). [hyper(236,a,8003,a,b,7998,a)]. 8392 K(x,T(y,z / R(x,u,w))) = K(x,T(y,R(x,u,w) \ z)). [para(121(a,1),8028(a,1,2,2)),flip(a)]. 8393 K(T(x,y \ z),y) != u | K(T(x,z),y) = u. [para(8084(a,2),8163(a,1))]. 8394 K(x / y,y \ z) != u | K(y \ x,z / y) = u. [para(8061(a,1),8170(a,1))]. 8395 K(((x \ y) \ y) \ y,z) != u | K(y / x,z) = u. [para(7264(a,2),8171(a,1))]. 8396 K(x \ (y * z),T(z,y)) != u | K((y * z) / x,z) = u. [para(7270(a,1),8171(a,1))]. 8397 K(x \ (K(y,z) * u),T(y,u)) != w | K((K(y,z) * u) / x,y) = w. [para(7409(a,1),8171(a,1,2))]. 8398 K(x / y,L(y,z,u)) != w | K(y \ x,L(y,z,u)) = w. [para(132(a,1),8178(a,1,2))]. 8400 K(x \ 1,T(y,z)) != u | K(z \ (x \ z),y) = u. [para(5706(a,1),8178(a,1))]. 8401 K(R(x * K(y,x),y,z),T(u,y * z)) != w | K((y * z) \ ((y * x) * z),u) = w. [para(5032(a,2),8178(a,1,1))]. 8403 K(L(x,y,z) \ u,x) != w | K(u / L(x,y,z),x) = w. [para(263(a,1),8184(a,1,2))]. 8404 K(L(x \ y,x,z),T(u,z * x)) != w | K((z * y) / (z * x),u) = w. [para(105(a,2),8184(a,1,1))]. 8405 K((x * (y \ 1)) \ z,x / y) != u | K(z / (x * (y \ 1)),x / y) = u. [para(627(a,1),8184(a,1,2))]. 8408 K(x,L(T(y \ z,u),y,u / z)) != w | K(x,u / ((u / z) * y)) = w. [para(729(a,1),8189(a,1,2))]. 8409 K(x \ (x * y),z) != u | K(y,z) = u. [para(7312(a,1),8190(a,1))]. 8410 K((x * y) / x,z) != u | K(y,T(z,x)) = u. [para(8051(a,1),8190(a,1))]. 8411 K((x / y) \ x,z) != u | K(y,z) = u. [para(16(a,1),8409(a,1,1,2))]. 8414 K(1 / ((x * y) \ x),z) != u | K(y,z) = u. [para(6291(a,2),8409(a,1))]. 8415 K(K(x,y) * z,x) != u | K(z,x) = u. [para(7484(a,1),8409(a,1))]. 8416 K((x * (y / z)) \ (x * y),u) != w | K(L(z,y / z,x),u) = w. [para(494(a,1),8411(a,1,1,1))]. 8417 K(x / (x / y),z) != u | K(y,T(z,x)) = u. [para(8052(a,1),8411(a,1))]. 8418 K(x * y,x) != z | K(y * x,x) = z. [para(4817(a,1),8415(a,1,1))]. 8420 K(K(x,y) * z,T(x,u)) != w | K(z,T(x,u)) = w. [para(8054(a,1),8415(a,1,1,1))]. 8422 K((x \ 1) \ y,y) != z | K(x * y,y) = z. [para(5553(a,2),8418(a,1))]. 8423 T(x,y * K(z,y)) != u | T(x,T(y,z)) = u. [para(4854(a,1),8241(a,1,2))]. 8424 T(K(x,y \ z),T(y,z)) != u | T(K(x,y \ z),y) = u. [para(8313(a,1),8245(a,1))]. 8425 K(x,T(y,L(z,u,x))) = K(x,T(y,z)). [hyper(236,a,8085,a(flip),b,8326,a)]. 8426 K(x,T(y,(x \ z) \ u)) = K(x,T(y,z \ (x * u))). [para(450(a,1),8425(a,1,2,2)),flip(a)]. 8427 K(L((x \ y) / z,z,x),u) != w | K((x * z) \ y,T(u,z)) = w. [para(819(a,2),8410(a,1,1))]. 8428 K(x * K(y,x),z) != u | K(x,T(z,y)) = u. [para(4854(a,1),8410(a,1,1))]. 8429 K(K(x,y) * y,z) != u | K(y,T(z,x)) = u. [para(4902(a,1),8410(a,1,1))]. 8430 K(L(x * K(y,x),z,u),w) != v5 | K(L(x,z,u),T(w,y)) = v5. [para(5038(a,2),8410(a,1,1))]. 8431 T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,x \ 1). [para(7874(a,1),6093(a,1,1,1))]. 8432 K(x,K(y,z)) * ((K(x,u) * z) \ w) = T(K(x,u) * z,K(x,y)) \ w. [para(8034(a,1),7906(a,1,1))]. 8433 K(x,K(y,z)) * (z / K(x,y)) = K(y,x) * z. [para(7547(a,2),7938(a,1,2))]. 8434 K(x,K(y,z)) * (T(z,y) * u) = T(T(z,y),K(x,y)) * u. [para(4993(a,1),7945(a,1,1,2))]. 8435 K(1 / x,y) \ K(K(1 / x,y),z) = K(1 / T(x,z),y) \ 1. [para(5678(a,2),7962(a,2,1))]. 8436 K(1 / T(x,y),z) \ K(K(1 / T(x,y),z),y) = K(1 / x,z) \ 1. [para(8062(a,1),7962(a,2,1))]. 8437 x * (K(y,x) * K(y,K(z,u))) = (y * x) / T(y,K(z,u)). [hyper(5878,a,7972,a)]. 8438 T(x,y / z) * K(z \ y,z) = K(z \ y,z) * T(x,z \ y). [para(8151(a,1),8007(a,1,1))]. 8440 T(x * K(y,T(x,z)),y) = T(x,K(y,z)). [para(8040(a,1),7331(a,1,1))]. 8443 K(x,L(T(T(y,z),z),u,w)) = K(x,L(y,u,w)). [hyper(236,a,7280,a,b,8055,a(flip)),flip(a)]. 8444 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,y \ x)). [para(4202(a,1),8064(a,1,1,1)),flip(a)]. 8445 K(K(R(x,y,z),u) * w,T(x,v5)) = K(w,T(x,v5)). [para(8064(a,1),7507(a,1,1,1))]. 8446 K(T(x,L(x,y,z) * u),T(w,u)) = K(L(x,u,L(x,y,z)),w). [para(1473(a,1),8065(a,1,1))]. 8447 K(x * K(y,z),(x / u) \ 1) = K(K(y,z) * x,x \ u). [hyper(236,a,7697,a(flip),b,8073,a(flip))]. 8448 L(K(T(x,y),T(z,y)),u,w) = K(x,L(z,u / T(z,y),w)). [hyper(6583,a,8076,a)]. 8449 K(T(x,y),T(z,L(z,u,w) * y)) = K(x,L(z,y,L(z,u,w))). [para(1473(a,1),8076(a,1,2))]. 8450 K(x \ y,T(z,x * K(y,x))) = K(y / x,z). [para(4854(a,1),8081(a,1,2,2))]. 8451 K(T(x * y,y) / x,z) = K(y,T(T(z,x),x * y)). [hyper(8184,a,8082,a)]. 8455 (K(x,y) * T(x,z)) \ x = K(z,x) * K(y,x). [para(8155(a,1),8088(a,1,1))]. 8456 T(x,T((y \ z) \ 1,y)) = x * K(x,(z / y) \ 1). [para(8103(a,1),4887(a,2,2))]. 8457 K(x,T((y \ z) \ 1,y)) != u | K(x,y / z) = u. [para(8103(a,2),5871(a,1))]. 8458 T(K(x,y),z) * (z / y) = z / T(y,x). [hyper(236,a,7555,a(flip),b,8111,a)]. 8459 K(x,y) * (K(z,y) / y) = K(z,y) / T(y,x). [para(5850(a,1),8458(a,1,1))]. 8460 K(x / y,T(z,x \ y)) = K(y \ x,T(z,y)). [hyper(236,a,7349,a(flip),b,8121,a(flip))]. 8461 T(T(x,y) \ L(T(x,y),z,u),x) = T(x,y) \ L(T(x,y),z,u). [hyper(4779,a,8150,a),flip(a)]. 8462 T(x,K(y,z / y) / (z \ y)) = T(x,T(1 / (z \ y),y)). [para(5371(a,1),8168(a,1,2,1))]. 8463 T(x * T(y,z),K(y,z)) = T(y,z) * T(x,y). [hyper(236,a,5180,a(flip),b,8194,a)]. 8464 K(x * T(y,z),T(u,K(y,z))) = K(K(y,z) * (x * y),u). [para(8194(a,1),7260(a,1,1)),flip(a)]. 8465 T((T(x,y) \ z) * x,K(x,y)) / x != u | T(z / T(x,y),x) = u. [para(8196(a,1),5514(a,1))]. 8466 R(x,K(y,z),T(K(z,y) * u,K(y,w))) * u = (x * K(y,z)) * (K(y,z) \ u). [para(8214(a,2),5280(a,1,1))]. 8467 K(x,T(y,z * x)) = K(x,T(y,z)). [hyper(18,a,8047,a,b,8247,a),flip(a)]. 8468 K(x,T(y \ (z * x),z)) = K(x,(z * x) / y). [hyper(18,a,6426,a,b,8247,a)]. 8469 K(x,T(y,z)) * (z * x) != u | z * T(x,y) = u. [para(8247(a,2),6258(a,1))]. 8470 K(L(x,y,x),T(z,u)) = K(x,T(z,u * x)). [hyper(236,a,8282,a,b,8467,a),flip(a)]. 8471 K(x,T(y,z / x)) = K(x,T(y,z)). [para(16(a,1),8467(a,1,2,2)),flip(a)]. 8472 K(a(x,y,z),T(u,(x * y) * z)) = K(a(x,y,z),T(u,x * (y * z))). [para(91(a,1),8467(a,1,2,2))]. 8473 K(x,T(y,z / x)) = T(K(x,y),z). [hyper(236,a,7256,a(flip),b,8471,a)]. 8474 K(x,T(y,z \ 1)) = K(x,T(y,z \ x)). [para(4184(a,1),8471(a,1,2))]. 8475 T(x,T(y,z / x)) = x * T(K(x,y),z). [para(8473(a,1),4887(a,2,2))]. 8476 T(x,T(y,z / x)) = T(x,T(y,z)). [hyper(236,a,7289,a(flip),b,8475,a)]. 8477 K(L(x,y,x),z) = K(x,T(T(z,u),u * x)). [hyper(8174,a,8470,a)]. 8478 T(x,1 / T(T(y,z),z)) = T(x,1 / y). [hyper(236,a,4840,a,b,8260,a)]. 8479 T(x,1 / T(y \ z,y)) = T(x,1 / (z / y)). [para(121(a,1),8478(a,1,2,2,1))]. 8480 (x * (y * T(x,z))) \ ((x * y) * T(x,z)) = a(x,y * K(x,z),x). [para(8270(a,1),6204(a,1,2))]. 8481 R(T(x / y,K(y,x)),z,x / y) = R(x / y,z,y \ x). [para(7172(a,2),8294(a,1,1))]. 8482 T(x,y) * K(x * y,T(z,x)) = K(x * y,z) * T(x,y). [para(8333(a,1),7281(a,1,2))]. 8483 K(x,y) * (x \ L(x,z,x)) != u | x \ L(T(x,y),z,x) = u. [para(8354(a,1),5198(a,1,2))]. 8484 K(((x \ 1) \ y) \ z,y) = K(x \ (y \ z),y). [hyper(6560,a,8377,a)]. 8485 T(x,y) * T(x \ K(x,z),x) = (x \ K(x,z)) * T(x,y). [para(8382(a,1),119(a,1,2))]. 8487 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(6037(a,1),8433(a,1,1,2))]. 8488 K(x,L(T(y \ z,y),u,w)) = K(x,L(z / y,u,w)). [para(121(a,1),8443(a,1,2,1,1))]. 8489 K(x,L(T(T(y \ z,u),y),w,v5)) = K(x,L(T(z / y,u),w,v5)). [para(183(a,1),8443(a,1,2,1,1))]. 8490 K(x,L(y * K(z,y),u,w)) = K(x,L(T(y,z),u,w)). [para(4853(a,1),8443(a,1,2,1,1)),flip(a)]. 8491 (K(x,y) * T(x,K(z,u))) \ x = K(z,K(u,x)) * K(y,x). [para(7886(a,1),8455(a,2,1))]. 8492 x * (T(x,y) \ (K(z,x) / x)) = K(z,x) / T(x,y). [hyper(5361,a,8459,a)]. 8493 K(x / y,T(z,x \ y)) = K(x / y,z). [hyper(236,a,8068,a(flip),b,8460,a)]. 8494 T(x,1 / (((y \ z) \ z) \ z)) = T(x,1 / (z / y)). [para(4108(a,1),8479(a,1,2,2))]. 8495 K((x \ 1) \ (y \ z),y) = K((x \ y) \ z,y). [hyper(236,a,5741,a(flip),b,8484,a(flip))]. 8496 K(T(x,y),z) * u != w | K(x,T(z,y)) * u = w. [para(5260(a,1),7327(a,1))]. 8498 K(x,R(y,K(z,x),u)) = K(x,y * K(z,x)). [hyper(236,a,6824,a(flip),b,7469,a(flip)),flip(a)]. 8499 K(x,y * K(z,x)) != u | K(x,y) = u. [para(7469(a,1),343(a,1)),flip(b)]. 8500 K(x,y * x) != z | K(x,x * y) = z. [para(95(a,1),8499(a,1,2))]. 8501 K(x,y * T(z,x)) != u | K(x,y * z) = u. [para(1251(a,1),8499(a,1,2))]. 8502 K(x,y \ T(z,x)) != u | K(x,y \ z) = u. [para(1249(a,1),8499(a,1,2))]. 8504 K(x,(y \ 1) \ x) != z | K(x,x * y) = z. [para(6602(a,2),8500(a,1))]. 8505 K(L(x,y,z),y * x) != u | K(x,x * y) = u. [para(7753(a,2),8500(a,1))]. 8506 K(x,R(y,K(z,x),u)) = K(x,y). [hyper(236,a,7459,a(flip),b,8498,a)]. 8508 K(x,R(R(y,K(z,x),u),w,v5)) = K(x,R(y,w,v5)). [para(46(a,1),8506(a,1,2))]. 8509 K(R(x,K(y,z),u),z) = K(x * K(y,z),z). [hyper(236,a,6678,a(flip),b,7474,a(flip)),flip(a)]. 8510 K(R(x,K(y,z),u),z) = K(x,z). [hyper(236,a,7470,a(flip),b,8509,a)]. 8512 K(R(R(x,K(y,z),u),w,v5),z) = K(R(x,w,v5),z). [para(46(a,1),8510(a,1,1))]. 8513 K(L(x,K(y,z),u),y) = K(K(y,z) * x,y). [hyper(236,a,6579,a(flip),b,7489,a(flip)),flip(a)]. 8514 K(L(x,K(y,z),u),y) = K(x,y). [hyper(236,a,7485,a(flip),b,8513,a)]. 8516 K((x * K(y,z)) \ u,y) = K(K(y,z) \ (x \ u),y). [para(227(a,1),8514(a,1,1))]. 8518 (x * (y * z)) * u != x * (z * y) | K(z,L(y,z,x)) = u. [para(7575(a,1),19(a,1)),flip(a)]. 8519 K(x,T(y,z * (u * x))) = K(x,T(y,z * (x * u))). [para(7575(a,1),7812(a,1,2,2)),flip(a)]. 8523 (x * (y * T(y \ (x \ z),u))) \ z != w | K(u,(x * y) \ z) = w. [para(857(a,1),7669(a,1,1))]. 8525 x * K(T(y,z),u) != w | x * K(y,T(u,z)) = w. [para(7547(a,1),7671(a,1))]. 8526 L(T(K(x,y \ z),u),y \ z,w) = T(K(x,(z \ y) \ 1),u). [para(7751(a,1),40(a,2,1))]. 8527 L(K(x,y),T(y,z),u) \ w = T(y,x) * (y \ w). [para(14(a,1),7761(a,1,2))]. 8528 K(x,T(y,z * (u * K(w,x)))) = K(x,T(y,z * u)). [para(103(a,1),7811(a,1,2,2))]. 8529 K((x \ y) \ z,x) = K(y \ (z * x),x). [hyper(7833,a,8379,a)]. 8530 K((x * y) \ (z * y),y) = K(x \ z,y). [hyper(7833,a,8378,a(flip)),flip(a)]. 8531 K((x * y) \ (z * y),y) != u | K(x \ z,y) = u. [para(8378(a,2),7833(a,1))]. 8533 K(x \ ((y \ z) * y),y) = K(x \ z,y). [hyper(236,a,8379,a(flip),b,8529,a(flip))]. 8534 K(x \ (y * z),z) = K(x \ (z * y),z). [hyper(236,a,8320,a(flip),b,8529,a(flip))]. 8535 K((x / y) \ z,y) = K(x \ (z * y),y). [para(16(a,1),8530(a,1,1,1)),flip(a)]. 8536 K(x * K(y \ (x * z),x),u) = K(x,T(u,y \ (z * x))). [para(8534(a,1),8085(a,1,1,2))]. 8537 L(K(x,L(y,z,u)),y,w) = K(x,L(y,z,u)). [para(6584(a,1),7841(a,1,1))]. 8538 a(x,y,K(z,L(y,u,w))) = 1. [hyper(34,a,8537,a)]. 8539 K((x \ y) \ z,L(z,u,w)) = K(y \ (x * z),L(z,u,w)). [hyper(236,a,6568,a(flip),b,8537,a(flip))]. 8540 K(x,T(y,z)) != u | T(K(x,y),z) = u. [para(7883(a,1),7904(a,1))]. 8541 K(x,y) * K(y,K(z,T(x,u))) != w | T(K(x,y),T(z,u)) = w. [para(7953(a,2),7904(a,1,2))]. 8545 T(x,K(y,z)) * z != u | T(x * z,K(y,z)) = u. [para(7996(a,2),8020(a,1))]. 8550 K(L(x,y,z),L(u,w,x)) = K(L(x,y,z),u). [hyper(236,a,6579,a(flip),b,8288,a)]. 8551 K(L(x,y,z),(x \ u) \ w) = K(L(x,y,z),u \ (x * w)). [para(450(a,1),8550(a,1,2)),flip(a)]. 8552 K(x \ y,T(x,z)) != u | K(T(x,w) \ y,T(x,z)) = u. [para(5178(a,1),8420(a,1,1))]. 8553 K(x,T(y \ 1,z)) != u | K(x,z / (z * y)) = u. [para(13(a,1),8457(a,1,2,1,1))]. 8554 K(x,((y \ z) * y) \ y) != u | K(x,y / z) = u. [para(7446(a,1),8457(a,1))]. 8555 T(K(x,y),z) * u != w | K(x,T(y,z)) * u = w. [para(7244(a,1),8496(a,1,1))]. 8559 x * T(K(y,z),u) != w | x * K(y,T(z,u)) = w. [para(7244(a,1),8525(a,1,2))]. 8560 T(L(K(x,y),T(y,z),u),w) * (T(y,x) * (y \ w)) = w * K(L(K(x,y),T(y,z),u),w). [para(8527(a,1),4861(a,1,2))]. 8562 K((x * y) \ z,y) != u | K(x \ (y \ z),y) = u. [para(8533(a,1),8531(a,1))]. 8563 K(x,y / (y * z)) = K(x,y \ (z \ y)). [hyper(8553,a,7525,a)]. 8564 K(x,T(1 / y,z)) != u | K(x,z / (z * y)) = u. [para(5240(a,2),8553(a,1))]. 8566 K(x,K(y,z)) * (K(z,y) * u) != w | K(z,T(y,x)) * u = w. [para(5843(a,2),8555(a,1))]. 8568 K((x * y) \ z,x) != u | K(y \ (x \ z),x) = u. [para(6511(a,1),8562(a,1))]. 8569 L(K(x \ y,x),y,z) != u | K(z \ (x \ (z * y)),x) = u. [para(6565(a,2),8562(a,1))]. 8570 T(K(x,y) * (z / T(x,u)),T(x,u)) = T(x,u) \ (K(x,y) * z). [para(7198(a,1),121(a,1,1))]. 8572 T((x * y) * K(x,y),x) = (y \ T(x * y,x)) * y. [hyper(7137,a,7212,a)]. 8574 R(T(K(x,y),z),y * u,w) = K(x,R(T(y,z),u,w)). [para(42(a,2),7262(a,2,2))]. 8575 K(x \ y,z) * K(u,y / x) = K(u,y / x) * K(x \ y,z). [para(6433(a,1),7293(a,1,1,2)),flip(a)]. 8576 K(x,K(y,z)) * (K(x,y) * u) = K(x,T(y,z)) * u. [para(7885(a,1),7295(a,1,1))]. 8577 (x \ y) / K(x,T(z,y)) = T(x,z) \ y. [para(7425(a,1),7347(a,1,2))]. 8578 (x \ y) * K(z,T(x,y)) = T(x,z) \ y. [hyper(7671,a,8577,a)]. 8579 (x \ 1) * K(y,1 \ x) = T(x,y) \ 1. [para(117(a,2),8578(a,1,2,2))]. 8580 x * K(y,(1 / x) * (z * x)) = K(y,L(z,x,x \ 1)) * x. [para(2924(a,1),7354(a,1,2,2))]. 8581 K(x,T(y,z)) * u != z * K(x,T(y,z)) | T(z,K(x,y)) = u. [para(7361(a,1),19(a,1)),flip(a)]. 8582 K(x,R(T(y,x \ z),u,w)) = K(x,R(T(y,z),u,w)). [para(42(a,2),7382(a,2,2))]. 8583 L(K(x,T(y,z)),x,u) = (x * z) \ (T(x,y) * z). [hyper(6452,a,7386,a),flip(a)]. 8585 T((K(x,y) * K(y,z)) \ (K(x,y) * (u * K(y,z))),K(x,y)) = R(T(u,K(x,y) * K(y,z)),K(x,y),K(y,z)). [para(7421(a,1),984(a,1,1,2))]. 8586 x * K(y / z,(z \ y) \ x) = (y / z) * (x / (y / z)). [para(7438(a,1),5079(a,1,2))]. 8587 x * (K(x / y,z) * K(x * K(y \ x,z),x)) = T(x * K(x / y,z),x). [para(7491(a,1),7721(a,1,2,2))]. 8588 K(x * y,1 / y) = K(y * x,1 / y). [hyper(236,a,7090,a(flip),b,7495,a(flip)),flip(a)]. 8589 K((x \ y) * x,1 / x) = K(y,1 / x). [para(14(a,1),8588(a,2,1))]. 8590 K(x,1 / x) * (y * L(x,z,u)) = y * L((x \ 1) \ 1,z,u). [para(7552(a,1),4553(a,2,2))]. 8591 (x * R(K(y,z),u,w)) \ x = R(K(z,y),u,w). [hyper(236,a,6815,a(flip),b,7590,a(flip))]. 8592 (x * R(K(y,z),u,w)) * R(K(z,y),u,w) = x. [para(8591(a,1),14(a,1,2))]. 8593 x / R(K(y,z),u,w) = x * R(K(z,y),u,w). [para(8591(a,1),62(a,1,2))]. 8595 x * K(y \ z,x / (z / y)) = (y \ z) * (x / (y \ z)). [para(7601(a,2),250(a,1,2))]. 8597 (x * (1 / T(y,z))) * T(y,z) = R(x,y \ 1,y). [hyper(236,a,2804,a(flip),b,7643,a)]. 8598 R(x,T(y,z) \ 1,T(y,z)) = R(x,y \ 1,y). [hyper(2814,a,8597,a)]. 8599 R(x,(y \ z) \ 1,T(z / y,y)) = R(x,(z / y) \ 1,z / y). [para(121(a,1),8598(a,1,2,1))]. 8600 R(x,y \ 1,y) / T((y \ 1) \ 1,z) = x * (T(y,z) \ 1). [para(8598(a,1),4524(a,1,1))]. 8601 T(x / T(y,T(z,x)),y) = T(y,z) \ x. [hyper(236,a,7348,a(flip),b,7651,a(flip))]. 8602 T(x / T(y,z),y) = T(y,T(z,x)) \ x. [para(8147(a,1),8601(a,1,1,2))]. 8603 x * (y \ R(y,x,y)) = T(y * x,y) / y. [para(5407(a,1),7656(a,1,2))]. 8604 (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(8603(a,1),564(a,1,2))]. 8605 1 * T((x \ 1) * y,K(z,T(u,x \ y))) = T(T((x \ 1) * y,x \ y),K(z,u)). [para(4523(a,1),7679(a,1,1))]. 8606 K(x,T(y * (z * K(u,x)),w)) = K(x,T(y * z,w)). [hyper(236,a,7256,a,b,7689,a)]. 8607 T(x,(y * z) \ z) = T(x,z \ (y \ z)). [hyper(5014,a,7739,a),flip(a)]. 8608 T(x,T(y \ 1,z)) = T(x,z \ (y \ z)). [hyper(236,a,7521,a,b,8607,a(flip)),flip(a)]. 8609 T(x,T(y,z) \ 1) = T(x,z \ (y \ z)). [hyper(236,a,6368,a,b,8607,a(flip)),flip(a)]. 8610 T(x,T((y / z) \ 1,y)) = T(x,y \ z). [para(65(a,1),8608(a,2,2,2))]. 8611 T(x,y \ (z \ y)) != u | T(x,(z * y) \ y) = u. [para(8608(a,1),7522(a,1))]. 8612 K(T(x,(y / z) \ 1),y) = K(T(x,y \ z),y). [para(8610(a,1),8008(a,1,1)),flip(a)]. 8613 ((x * T(y,z)) / y) * ((u * y) / u) = x * (T(y,z) * K(u,y)). [hyper(7786,a,7759,a)]. 8614 L(T(x,y),z,K(u,x)) != w | T(x,y) = w. [para(7778(a,1),323(a,1)),flip(b)]. 8615 T(x,K(y,x) * z) != u | T(x,z) = u. [para(6068(a,1),8614(a,1))]. 8621 T(x \ y,(x \ y) \ z) != u | T(x \ y,(y / x) \ z) = u. [para(5757(a,1),8615(a,1,2))]. 8622 L(x,y,z * (K(u,z) / T(z,w))) = L(x,y,K(u,z) * K(w,z)). [para(7791(a,1),6752(a,1,3,2))]. 8623 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(7798(a,1),663(a,1,2))]. 8624 T(x,y) * K(y * L(x,z,u),x) = R(x,y,L(x,z,u)). [para(7853(a,1),6721(a,1,2))]. 8625 K(((x \ y) \ 1) * z,x / y) = K(z * ((x \ y) \ 1),x / y). [para(6370(a,1),7858(a,1,1)),flip(a)]. 8626 T(K(x,y),K(z,y) \ u) = T(K(x,y),u). [hyper(236,a,7881,a(flip),b,7887,a)]. 8628 (x * K(y,z)) * T(K(z,y),u) = x * K(z,K(y,u)). [para(7540(a,1),7909(a,1,1)),flip(a)]. 8629 T(K(x,y),T(z,K(y,u))) = T(K(x,y),z). [hyper(236,a,7882,a(flip),b,8021,a)]. 8630 T(K(x,y),z / K(u,y)) = T(K(x,y),K(u,y) \ z). [para(5844(a,1),8629(a,1,2))]. 8631 K(x,y) * K(y,K(z,T(x,x * u))) = T(K(x,y),T(z,u * x)). [para(4255(a,1),8033(a,1,2,2,2))]. 8632 R(K(x,T(y,z)),u,w) * (z * K(y,v5)) = (z * K(y,v5)) * R(K(x,y),u,w). [para(7572(a,1),8049(a,1,1,1,2))]. 8633 T(T(x,L(K(y,z),u,w)),L(K(y,z),u,w)) = x. [hyper(4425,a,8096,a)]. 8634 x * K(L(K(y,z),u,w),x) = T(x,L(K(y,z),u,w)). [hyper(5036,a,8633,a),flip(a)]. 8635 T(L(K(x,y),z,u) \ w,L(K(x,y),z,u)) = w / L(K(x,y),z,u). [hyper(668,a,8633,a)]. 8637 K(x,y) * T(y,T(z,x)) = T(y * K(x,y),z). [hyper(6455,a,8144,a)]. 8639 K(x,y) * T(x * K(y,x),z) = T(x,T(z,y)). [hyper(5285,a,8637,a)]. 8640 T(x,y) * T(y,T(z,x)) = x * T(y * K(x,y),z). [para(8637(a,1),4856(a,1,2)),flip(a)]. 8641 K(x,y) * T(x * K(y,x),z) != u | T(x,T(z,y)) = u. [para(8637(a,1),5271(a,1,2)),flip(b)]. 8643 T(x,T(L(y \ 1,y,z),u)) = K(x,u) * T(x * K(u,x),y \ 1). [para(6379(a,1),8639(a,1,2)),flip(a)]. 8644 K(x,T(y * K(z,y),u)) = K(x,T(T(y,z),u)). [para(5493(a,1),8146(a,1,2))]. 8645 K(x,T(T(y \ z,y),u)) = K(x,T(z / y,u)). [para(4903(a,1),8644(a,1,2,1)),flip(a)]. 8646 T(x,K(y,z \ 1) / z) = x * K(T(x,y),z \ 1). [hyper(236,a,5809,a,b,8148,a(flip)),flip(a)]. 8647 T(x,R((y * z) / y,u,w)) = T(x,R(T(z,y),u,w)). [para(42(a,2),8164(a,2,2))]. 8648 T(x,T(y * K(z,y),u)) = T(x,T(T(y,z),u)). [para(5493(a,1),8167(a,1,2))]. 8649 K(x,y) * z != (x * T(u,T(x,y))) * K(x,y) | u * x = z. [para(8206(a,2),19(a,1)),flip(a)]. 8650 K(x \ y,z) * K(z,y / x) = K(z,K(x,x \ y)). [hyper(236,a,7919,a,b,8221,a)]. 8651 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(236,a,3356,a,b,8250,a)]. 8652 T(T(x,y) * z,K(x,y)) = x * (z * K(x,y)). [hyper(168,a,8273,a,b,4906,a)]. 8654 (x * T(y,K(x,z))) \ (x * (K(x,z) * y)) = K(x,z). [para(7981(a,1),8278(a,1,1,2))]. 8655 K(x,T(y \ (x * z),z)) = K(x,z / (x \ y)). [hyper(8189,a,8286,a),flip(a)]. 8656 K(x,T(y \ (x * z),z)) * u != u * w | K(x,T(z / (x \ y),u)) = w. [para(8655(a,2),7352(a,1,1))]. 8657 (R(x,y,z) \ 1) \ (R(x,y,z) \ K(x,u)) != w | K(x,u) = w. [para(8336(a,1),283(a,1,2)),flip(b)]. 8658 T(x,T(y * K(x,z),u)) = T(x,T(y,u)). [hyper(236,a,8248,a(flip),b,8350,a)]. 8659 T(x,T(y / (z / x),u)) = T(x,T(y / (x \ z),u)). [para(7553(a,1),8658(a,1,2,1)),flip(a)]. 8660 (x * y) * K(z,x \ (z \ (x * y))) = x * (z * (y / z)). [hyper(236,a,4671,a(flip),b,8352,a(flip))]. 8661 x * K(y,z \ (y \ x)) = z * (y * ((z \ x) / y)). [hyper(236,a,4659,a(flip),b,8352,a(flip))]. 8662 T(x,y) * (z * K(y,x)) = T(x * z,K(x,y)). [hyper(5216,a,8369,a)]. 8663 T(x * (y * z),K(x,z)) = T(x,z) * (y * T(z,x)). [para(6201(a,1),8662(a,1,2)),flip(a)]. 8665 T(x,y) * (z * K(x * z,x)) = T(T(x,y) * z,x). [hyper(236,a,7497,a(flip),b,8372,a(flip))]. 8666 ((x \ (y / z)) * x) * z = y * K(z \ (x \ y),x). [hyper(236,a,4661,a,b,8380,a),flip(a)]. 8667 (x * K(y \ (z \ x),z)) * u = (y * ((z \ (y \ x)) * z)) * u. [hyper(22,a,8380,a)]. 8668 (x * y) * K(x \ (z \ (x * y)),z) = x * ((z \ y) * z). [para(13(a,1),8380(a,2,2,1,2))]. 8670 (x * ((y \ (x \ z)) * y)) \ z != u | K(y,x \ (y \ z)) = u. [para(8380(a,1),7560(a,1,1))]. 8671 T(x,y) * (L(T(x,y),z,x) \ u) = x * (L(x,z,x) \ u). [para(8383(a,1),5207(a,1,2))]. 8672 K(L(x,y,x),z) = K(T(u * x,x) / u,z). [hyper(236,a,8477,a,b,8451,a),flip(a)]. 8673 K(T(x * y,y) / x,z) = K(y,z). [hyper(8341,a,8672,a),flip(a)]. 8675 K(T(x,y \ x) / y,z) = K(y \ x,z). [para(14(a,1),8673(a,1,1,1,1))]. 8676 K(T(x,y) / (x / y),z) = K(y,z). [para(16(a,1),8673(a,1,1,1,1))]. 8677 T(x,T((y \ z) \ 1,y)) = T(x,(z / y) \ 1). [hyper(236,a,4887,a,b,8456,a)]. 8678 T(x,((y * z) / y) \ 1) = T(x,T(z \ 1,y)). [para(13(a,1),8677(a,1,2,1,1)),flip(a)]. 8679 T(x,T(y \ 1,z)) = T(x,y \ K(y,z)). [para(4984(a,1),8678(a,1,2)),flip(a)]. 8680 T(x,y \ K(y,z)) = T(x,z \ (y \ z)). [hyper(236,a,8608,a(flip),b,8679,a(flip))]. 8681 T(x,y / (y * z)) = T(x,y \ (z \ y)). [hyper(236,a,5312,a(flip),b,8680,a(flip)),flip(a)]. 8682 T(x,y / (y * z)) != u | T(x,(z * y) \ y) = u. [para(8681(a,2),8611(a,1))]. 8683 T(x,y) \ ((x \ 1) \ K(z,x)) = x * (K(z,x) / T(x,y)). [para(8492(a,1),4047(a,1,2)),flip(a)]. 8684 K((x * K(y,z)) \ u,y) = K(x \ u,y). [hyper(236,a,7484,a(flip),b,8516,a)]. 8686 K((K(x,y) * z) \ u,x) = K(z \ u,x). [para(7281(a,1),8684(a,1,1,1))]. 8687 K((x * K(y,z)) \ u,T(y,w)) = K(x \ u,T(y,w)). [para(8054(a,1),8684(a,1,1,1,2))]. 8688 K((x * (y * z)) \ u,z) = K((x * (z * y)) \ u,z). [para(7575(a,1),8684(a,1,1,1)),flip(a)]. 8690 K(x \ K(y,z),y) = K(x \ 1,y). [hyper(6345,a,8686,a),flip(a)]. 8691 K(x \ (K(y,z) * u),y) = K(x \ u,y). [hyper(236,a,7224,a(flip),b,8686,a(flip))]. 8693 K(x \ L(K(y,z),u,w),y) = K(x \ 1,y). [para(5893(a,1),8690(a,1,1,2))]. 8695 K(x \ T(y,z),y) = K(x \ y,y). [para(4897(a,2),8691(a,1,1,2))]. 8696 K(x \ (K(y,z) * u),z) = K(x \ u,z). [para(5268(a,1),8691(a,1,1,2)),flip(a)]. 8697 K(x \ (y / z),z \ y) = K(x \ (z \ y),z \ y). [para(5020(a,1),8691(a,1,1,2)),flip(a)]. 8699 K(x \ (K(y,z) * u),T(y,w)) = K(x \ u,T(y,w)). [para(8054(a,1),8691(a,1,1,2,1))]. 8700 K(x \ (y * K(z,u)),z) = K(x \ y,z). [para(8047(a,1),8691(a,1,1,2))]. 8701 K(T(x,y) \ z,z) = K(x \ z,T(z,y)). [hyper(236,a,6653,a(flip),b,8695,a(flip))]. 8702 K(x \ (y * T(z,u)),u) = K(x \ (y * z),u). [para(5700(a,1),8696(a,1,1,2))]. 8703 K(x \ (y / (z * y)),z \ 1) = K(x \ ((z * y) \ y),z \ 1). [para(5804(a,1),8696(a,1,1,2))]. 8704 K(x \ (y * K(z,u)),T(z,w)) = K(x \ y,T(z,w)). [para(8054(a,1),8700(a,1,1,2,2))]. 8705 K(x \ T(y,z),T(y,u)) = K(x \ y,T(y,u)). [para(8087(a,1),8700(a,1,1,2))]. 8706 K(x \ (y * (z * u)),u) = K(x \ (y * (u * z)),u). [para(7575(a,1),8700(a,1,1,2)),flip(a)]. 8708 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(8693(a,1),5667(a,1,1,1,2)),flip(a)]. 8709 K((x * (y * z)) \ ((x * z) * y),z) = K(a(x,z,T(y,z)),z). [para(173(a,1),8702(a,1,1)),flip(a)]. 8710 K(x,T(y,z * (K(u,x) * w))) = K(x,T(y,z * w)). [para(7249(a,1),8528(a,1,2,2,2))]. 8711 T(x * (y * K(x,y)),x) = (y \ T(x * y,x)) * y. [para(7701(a,1),8572(a,1,1))]. 8712 R(K(x,T(y,z)),y * u,w) = K(x,R(T(y,z),u,w)). [para(7256(a,2),8574(a,1,1))]. 8713 K(x,R(T(y,x * z),u,w)) = K(x,R(T(y,z),u,w)). [para(13(a,1),8582(a,1,2,1,2)),flip(a)]. 8714 K(x,T(y * K(x,z),u)) = K(x,T(y,u)). [para(5103(a,1),8606(a,1,2,1)),flip(a)]. 8715 K(x,T(y * (z / T(u,x)),w)) = K(x,T(y * (z / u),w)). [para(6197(a,1),8606(a,1,2,1,2)),flip(a)]. 8716 K(x,T(y / T(x,z),u)) = K(x,T(y / x,u)). [para(6197(a,1),8714(a,1,2,1)),flip(a)]. 8717 K(x * K(y,x),T(z / (x * K(y,x)),u)) = K(x * K(y,x),T(z / x,u)). [para(4853(a,1),8716(a,1,2,1,2)),flip(a)]. 8718 T(K(x,y),z / K(u,y)) = T(K(x,y),z). [hyper(236,a,8626,a(flip),b,8630,a)]. 8720 T(K(x,y),z * K(y,u)) = T(K(x,y),z). [para(7547(a,1),8718(a,1,2))]. 8721 K(x,K(y,z \ 1) / z) = K(T(x,y),z \ 1). [hyper(4954,a,8646,a)]. 8722 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(x,K(z,y \ 1) / y). [para(7086(a,1),8721(a,1,2,1)),flip(a)]. 8723 T(x,R(T(y,y \ z),u,w)) = T(x,R(z / (z / y),u,w)). [para(4206(a,1),8647(a,1,2,1)),flip(a)]. 8725 K(x,K(y,y \ z)) != u | K(x,z / y) * K(y \ z,x) = u. [para(8650(a,1),2197(a,1))]. 8726 (x * T(y,K(x,z))) \ (T(x,z) * y) = K(x,z). [para(4856(a,1),8654(a,1,2))]. 8727 T(x,T((y * x) / z,u)) = T(x,T(y / (x \ z),u)). [hyper(236,a,7230,a,b,8659,a(flip)),flip(a)]. 8728 K(x,(y * z) \ (x \ y)) = K(x,z \ (x \ 1)). [hyper(17,a,6972,a(flip),b,8661,a)]. 8729 K((x * y) \ (z \ x),z) = (u * K(z,y \ (z \ 1))) \ u. [para(8728(a,1),7549(a,1,1,2)),flip(a)]. 8730 T(x,y) * (x \ T(x * z,x)) = T(T(x,y) * z,x). [para(7608(a,2),8665(a,1,2))]. 8731 (x * y) * K(y \ (z \ (x * y)),z) = ((z \ x) * z) * y. [para(15(a,1),8666(a,1,1,1,2)),flip(a)]. 8732 (((x \ (y / z)) * x) * z) \ y = K(x,z \ (x \ y)). [para(8666(a,2),7549(a,1,1))]. 8733 K(((x \ 1) * (y * x)) \ z,x) = K(L(y,x,x \ 1) \ z,x). [hyper(236,a,5930,a(flip),b,8688,a)]. 8734 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(8697(a,1),5671(a,1,1,1,2))]. 8735 K(x \ T(y,z),T(T(y,u),w)) = K(x \ y,T(T(y,u),w)). [para(8087(a,1),8704(a,1,1,2))]. 8736 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(L(u,z,y),y * z,x),y). [para(440(a,1),8706(a,2,1))]. 8737 T(x * (y * K(x,y)),x) = R(x,y,x) * y. [para(4225(a,1),8711(a,2,1))]. 8738 T(T(x,y) * y,x) = R(x,y,x) * y. [para(4924(a,1),8737(a,1,1))]. 8739 T(x * L(y * K(x,y),z,u),x) = R(x,L(y,z,u),x) * L(y,z,u). [para(5656(a,1),8737(a,1,1,2))]. 8740 T(x * L(x \ (T(x,y) * y),z,u),x) = x * L(x \ (R(x,y,x) * y),z,u). [para(8738(a,1),1683(a,2,2,1,2))]. 8741 K(x,R(T(y,z),y \ u,w)) = R(K(x,T(y,z)),u,w). [para(14(a,1),8712(a,1,2)),flip(a)]. 8742 K(x,(x * y) \ ((x * z) * y)) = K(x,R(T(z,y),x,y)). [hyper(5142,a,8713,a)]. 8743 T(T(x,y) * R(x \ z,u,w),x) = T(x,y) * R(x \ T(z,x),u,w). [para(1941(a,1),8730(a,1,2)),flip(a)]. 8745 (((x \ y) * x) * z) \ (y * z) = K(x,z \ (x \ (y * z))). [para(15(a,1),8732(a,1,1,1,1,2))]. 8746 K(x,R(T(y,z),y \ 1,u)) = K(x,T(y,z)). [hyper(236,a,338,a(flip),b,8741,a)]. 8747 K(x,R(T(y,z),y \ 1,u)) = T(K(x,y),z). [hyper(236,a,7256,a(flip),b,8746,a)]. 8748 K(x,y) * K(x * y,x) = T(x \ R(x,y,x),y). [para(7259(a,1),7166(a,1,2))]. 8749 T(x \ R(x,y,x),y) = x \ R(x,y,x). [hyper(236,a,5407,a(flip),b,8748,a(flip))]. 8750 (x * (y \ R(y,x,y))) / x = y \ R(y,x,y). [para(8749(a,1),163(a,1,1,2))]. 8751 (T(x * y,x) / x) / y = x \ R(x,y,x). [para(8603(a,1),8750(a,1,1))]. 8752 (x \ R(x,y \ 1,x)) / (T(x * (y \ 1),x) / x) = y. [hyper(74,a,8751,a(flip),b,6920,a(flip))]. 8753 K(x,y) * (x \ (z * x)) != u | T(K(x,y) * z,x) = u. [para(5195(a,1),7190(a,1))]. 8754 L(K(x,T(y,z)),z,L(y,u,w)) = K(x,T(y,L(y,u,w) * (y \ z))). [para(1204(a,1),7338(a,1,2)),flip(a)]. 8755 x / (K(y,z) * T(z,u)) = (x / T(z,u)) * K(z,y). [hyper(236,a,7711,a(flip),b,7578,a(flip))]. 8756 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(5265(a,1),7578(a,2,2))]. 8757 (x / T(y \ 1,z)) * K(y \ 1,y) = x / T(1 / y,z). [para(3282(a,1),8755(a,1,2)),flip(a)]. 8758 (x / T(y,y * z)) * K(y,z) = x / L(y,z,y). [para(5181(a,1),8755(a,1,2)),flip(a)]. 8759 (x / T(y,z)) * K(y,y * z) = x / R(y,z,y). [para(5182(a,1),8755(a,1,2)),flip(a)]. 8760 (x / T(y,z)) * T(y,y * z) = (x / R(y,z,y)) * y. [para(8759(a,1),6188(a,1,1)),flip(a)]. 8761 K(x * (y / R(z,u,z)),z) = K(x * (y / T(z,u)),z). [para(8759(a,1),7607(a,1,1,2))]. 8762 a(x,T(y,z),T(z,y)) != u | a(x,y,z) = u. [para(7731(a,1),679(a,1))]. 8763 T(x,T(y / (x \ z),z)) = T(x,z \ (x * y)). [hyper(7835,a,8300,a)]. 8764 (x * y) / T(T(x,y),z) = K(z,x) * y. [hyper(7838,a,7281,a)]. 8765 (x * L(y,z,y)) / T(T(x,y),u) = K(u,x) * L(y,z,y). [para(8301(a,1),8764(a,1,2,1))]. 8766 K(x,T(y / (x * z),z)) = K(x,z \ (x \ y)). [hyper(7843,a,8280,a)]. 8767 K(x,T(y,K(L(x,z,u),w) * v5)) = K(x,T(y,v5)). [hyper(236,a,8085,a(flip),b,8145,a)]. 8768 K(x,T(y,L(x,z,u) * (u * z))) = K(x,T(y,u * (z * x))). [para(4982(a,1),8767(a,1,2,2))]. 8770 x * K(L(K(y,z),T(z,u),w),x) = T(z,K(y,x)) * (z \ x). [hyper(236,a,8634,a,b,8391,a(flip)),flip(a)]. 8771 K(x * L(y,z,u),y) * K(y,x) = y \ R(y,x,L(y,z,u)). [hyper(72,a,8624,a(flip),b,5186,a),flip(a)]. 8772 x \ R(x,y,L(x,z,u)) != w | K(x,y) * K(y * L(x,z,u),x) = w. [para(8624(a,1),5185(a,1,2))]. 8773 K(x,y \ (x \ ((x * z) * y))) = K(x,R(T(z,y),x,y)). [hyper(8344,a,8742,a)]. 8774 K(x,y) * T(z,x) != u | T(K(x,y) * z,x) = u. [para(32(a,2),8753(a,1,2))]. 8775 K(x,y) * T(T(z,x),u) != w | T(K(x,y) * T(z,u),x) = w. [para(38(a,1),8774(a,1,2))]. 8776 K(x,y) * L(T(z,x),u,w) != v5 | T(K(x,y) * L(z,u,w),x) = v5. [para(40(a,2),8774(a,1,2))]. 8777 (x * K(y,z)) * K(z,z * y) = (x / R(z,y,z)) * z. [hyper(236,a,7633,a(flip),b,8760,a(flip)),flip(a)]. 8778 (x \ 1) * ((K(y,z) \ u) * T((K(y,z) \ u) \ ((x \ 1) \ u),y)) = ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u). [para(7177(a,2),1413(a,2,1,2))]. 8779 R(K(x,y),z,R(x,u,w)) = K(x,y). [hyper(7075,a,7196,a)]. 8780 (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(7196(a,1),5184(a,1,1,2))]. 8781 K(x,(y * R(x,z,u)) / w) = K(x,y / (w / R(x,z,u))). [hyper(236,a,6812,a(flip),b,8779,a(flip)),flip(a)]. 8782 K(R(x,y,R(x,z,u)),w) = K(x,w). [hyper(236,a,6678,a(flip),b,8779,a(flip)),flip(a)]. 8783 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(8782(a,1),5382(a,1,1,1)),flip(a)]. 8791 T(x,y) * K(z,T(T(x,y),u)) = T(x * K(z,T(x,u)),y). [para(7260(a,1),7330(a,2,1,2))]. 8792 K(R(x,y,z),T(u,x \ w)) = K(R(x,y,z),T(u,w)). [hyper(236,a,6678,a(flip),b,7385,a(flip))]. 8793 K(R(x,y,z),T(u,w)) * K(T(u,x \ w),R(x,y,z)) = 1. [hyper(73,a,8792,a,b,7540,a),flip(a)]. 8794 T(T(x,1 / y),K(1 / y,z)) = T(x,1 / T(y,z)). [hyper(236,a,4887,a,b,7523,a)]. 8795 T(T(x,1 / y),K(z,1 / y)) = T(x,1 / T(y,z)). [hyper(8002,a,8794,a)]. 8797 T(x,1 / T(y,z)) != u | T(x,T(1 / y,z)) = u. [para(8794(a,1),7185(a,1))]. 8798 T(T(x,1 / (y / z)),K(u,z / y)) = T(x,1 / T(y / z,u)). [para(5796(a,1),8795(a,1,2))]. 8799 (x * L(K(y,z),u,w)) \ x = L(K(z,y),u,w). [para(5909(a,1),7585(a,1,1,2))]. 8800 x / L(K(y,z),u,w) = x * L(K(z,y),u,w). [para(8799(a,1),62(a,1,2))]. 8801 x * L(K(y,z),u,w) != v5 | v5 * L(K(z,y),u,w) = x. [para(8799(a,1),86(a,1,2)),flip(b)]. 8803 (x * (y * K(z,u))) \ (x * y) = L(K(u,z),y,x). [para(103(a,1),8799(a,1,1))]. 8804 (x * ((x \ y) * K(z,u))) \ y = L(K(u,z),x \ y,x). [para(433(a,1),8799(a,1,1))]. 8805 (x * (y * K(z,u))) * L(K(u,z),y,x) = x * y. [hyper(297,a,8800,a),flip(a)]. 8806 (x * (K(y,z) * u)) \ (x * u) = L(K(z,T(y,u)),u,x). [para(7249(a,1),8803(a,1,1,2))]. 8807 (x * (y * K(z,u))) * w != x * y | L(K(u,z),y,x) = w. [para(8805(a,1),19(a,1)),flip(a)]. 8808 (x * (y * K(z,u))) \ (x * y) != w | L(K(u,z),y,x) = w. [para(8805(a,1),283(a,1,2)),flip(b)]. 8809 (x * (K(y,z) * u)) * L(K(z,T(y,u)),u,x) = x * u. [para(7249(a,1),8805(a,1,1,2))]. 8811 L(T(K(x,T(y,z)),u * (K(y,x) * z)),z,u) = (u * z) / (u * (K(y,x) * z)). [hyper(74,a,8809,a(flip),b,8095,a),flip(a)]. 8812 (x * (y / T(x,z))) / x = (x * (y / x)) / T(x,z). [hyper(236,a,6198,a(flip),b,7663,a(flip))]. 8813 (x * (y \ T(y * (x \ z),u))) \ z = K(u,(x * (y \ 1)) \ z). [para(877(a,1),7714(a,1,1,2))]. 8814 (x * (y * (z * T(z \ (y \ (x \ u)),w)))) \ u = K(w,(x * (y * z)) \ u). [para(857(a,1),7714(a,1,1,2))]. 8815 (x * (((y \ ((x \ z) * u)) * y) / u)) \ z = K(y,(x * (y / u)) \ z). [para(1403(a,1),7714(a,1,1,2))]. 8816 K(x,(y * K(x,z)) \ u) = (y * T(y \ u,x)) \ u. [para(7165(a,1),7714(a,1,1,2)),flip(a)]. 8817 K(x,(y * K(x,z)) \ u) = K(x,y \ u). [hyper(236,a,7588,a(flip),b,8816,a)]. 8818 K(x,((x \ y) * x) \ z) = K(x,y \ z). [para(247(a,1),8817(a,1,2,1)),flip(a)]. 8819 T(x,(y * K(x,z)) \ u) = x * K(x,y \ u). [para(8817(a,1),4887(a,2,2))]. 8820 K(x,(K(x,y) * z) \ u) = K(x,z \ u). [para(7281(a,1),8817(a,1,2,1))]. 8821 K(x,(y * K(z,x)) \ u) = K(x,y \ u). [para(7540(a,1),8817(a,1,2,1)),flip(a)]. 8822 K(x,(K(y,x) * z) \ u) = K(x,z \ u). [para(7551(a,1),8817(a,1,2,1)),flip(a)]. 8823 K(x,(y * (z / x)) \ u) = K(x,(y * (x \ z)) \ u). [para(7544(a,1),8817(a,1,2,1))]. 8825 K(x,y \ ((x \ y) * z)) != u | L(K(x,x \ z),z,x \ y) = u. [para(8818(a,1),6622(a,1))]. 8826 K(x,y \ K(x,z)) = K(x,y \ 1). [hyper(6460,a,8820,a),flip(a)]. 8827 K(x,(y * z) \ ((K(x,u) * y) * z)) = K(x,a(K(x,u),y,z)). [para(24(a,2),8820(a,1,2)),flip(a)]. 8828 (K(x,y) * K(z,K(x,u \ 1))) / u = T(K(x,y) / u,K(z,x)). [para(8826(a,1),7950(a,1,1,2,2))]. 8829 K(T(x,y),(z * K(u,x)) \ w) = K(T(x,y),z \ w). [para(7314(a,1),8821(a,1,2,1,2))]. 8830 K(x,y \ (K(x,z) * u)) = K(x,y \ u). [hyper(236,a,7243,a(flip),b,8822,a(flip)),flip(a)]. 8832 K(x,y \ T(x,z)) = K(x,y \ x). [para(4897(a,2),8830(a,1,2,2))]. 8833 K(x,y \ (z * x)) = K(x,y \ (x * z)). [para(4817(a,1),8830(a,1,2,2)),flip(a)]. 8835 K(x / y,z \ (x / y)) = K(x / y,z \ (y \ x)). [para(4968(a,1),8830(a,1,2,2)),flip(a)]. 8836 K(T(x,y),z \ T(T(x,u),y)) = K(T(x,y),z \ T(x,y)). [para(4966(a,1),8830(a,1,2,2))]. 8837 K(x,T(y \ (K(x,z) * u),w)) = T(K(x,y \ u),w). [para(8830(a,1),7256(a,2,1))]. 8838 K(T(x,y),z \ x) = K(x,T(z,y) \ x). [hyper(6657,a,8832,a)]. 8839 K(x,(x \ y) \ z) = K(x,y \ (z * x)). [hyper(236,a,8279,a,b,8833,a),flip(a)]. 8841 K(x,T(y,z) \ x) = K(x,T(y \ x,z)). [hyper(7823,a,8838,a),flip(a)]. 8843 K(x,T(y,K(z,z \ x)) \ x) = K(x,y \ x). [para(5328(a,1),8838(a,1,1)),flip(a)]. 8845 K(x,y \ (((x \ y) * z) * x)) = K(x,z). [para(13(a,1),8839(a,1,2)),flip(a)]. 8846 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * (x \ y)) \ u). [para(8839(a,1),6594(a,1,1))]. 8847 K(x,y) * K(x,K(y,z \ (u * y))) = K(x,T(y,(y \ z) \ u)). [para(8839(a,1),7883(a,1,2,2))]. 8848 T(x,(y * K(x,z)) \ u) = T(x,y \ u). [hyper(236,a,4887,a,b,8819,a)]. 8851 T(x,(y * x) \ z) = T(x,(x * y) \ z). [para(95(a,1),8848(a,1,2,1)),flip(a)]. 8852 T(x,(K(y,x) * z) \ u) = T(x,z \ u). [para(7551(a,1),8848(a,1,2,1)),flip(a)]. 8853 T(x,(y * (z * x)) \ u) = T(x,(y * (x * z)) \ u). [para(7575(a,1),8848(a,1,2,1)),flip(a)]. 8854 T(x,(y * x) \ z) = T(x,y \ (x \ z)). [hyper(236,a,8299,a(flip),b,8851,a)]. 8855 T(x,y \ (K(z,x) * u)) = T(x,y \ u). [hyper(236,a,7832,a(flip),b,8852,a(flip))]. 8857 T(x,L(x \ y,x,z)) = T(x,z \ (x \ (z * y))). [para(105(a,2),8854(a,1,2))]. 8859 T(x,y \ ((x \ z) * x)) = T(x,y \ z). [para(4804(a,1),8855(a,1,2,2))]. 8860 T(x,y \ T(x,z)) = T(x,y \ x). [para(4845(a,1),8855(a,1,2,2)),flip(a)]. 8861 T(x,y \ (z * x)) = T(x,y \ (x * z)). [para(4817(a,1),8855(a,1,2,2))]. 8862 T(x,y \ K(x,z)) = T(x,y \ 1). [para(5101(a,1),8855(a,1,2,2)),flip(a)]. 8863 T(x,y \ ((z / x) \ u)) = T(x,y \ ((x \ z) \ u)). [para(5507(a,1),8855(a,1,2,2))]. 8864 T(x,T(x,y) / z) = T(x,z \ x). [hyper(8332,a,8860,a)]. 8865 (x \ K(x,y)) * (T(x,x \ 1) * z) = (K(x,y) / x) * (x * z). [para(8862(a,1),5781(a,1,2,1))]. 8867 K(x \ ((y \ z) * y),L(y,u,w)) = L(T(y,x \ z),u,w) \ L(y,u,w). [para(8859(a,1),4838(a,1,1,1)),flip(a)]. 8868 K(x,T(y,z \ (y \ u))) = K(x,T(y,z \ u)). [para(8859(a,1),7854(a,1,2)),flip(a)]. 8869 L(x,y,z) \ L(T(x,u \ (x * w)),y,z) = K(L(x,y,z),u \ (w * x)). [para(8861(a,1),4888(a,1,2,1))]. 8870 K(x,(K(y \ x,y) * z) \ x) = K(x,(z * K(y \ x,y)) \ x). [para(7396(a,1),8843(a,1,2,1))]. 8871 K(x,T(y,(y * z) \ u)) = K(x,T(y,z \ u)). [para(8299(a,2),8868(a,1,2))]. 8873 K(x,T(y,(y \ z) \ u)) = K(x,T(y,z \ u)). [para(14(a,1),8871(a,1,2,2,1)),flip(a)]. 8874 K(x * y,T(x,y \ z)) != u | K(x * y,T(x,z)) = u. [para(8871(a,1),7824(a,1))]. 8875 K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(y \ z) \ u)). [hyper(236,a,7883,a,b,8873,a),flip(a)]. 8876 K(x \ y,T(x,y \ z)) != u | K(x \ y,T(x,z)) = u. [para(8873(a,1),7824(a,1))]. 8877 (x \ 1) / (x \ K(x,(y * (x \ z)) \ u)) = K((y * (z / x)) \ u,x). [para(8823(a,1),5262(a,1,2,2))]. 8878 K(x / y,z \ (y \ x)) = K(y \ x,(z * y) \ x). [hyper(236,a,8239,a(flip),b,8835,a(flip))]. 8879 K(x,T(y \ (K(x,z) * u),w)) = K(x,T(y \ u,w)). [hyper(236,a,7256,a,b,8837,a)]. 8880 L(T(x,y \ ((x \ z) \ u)),w,v5) \ L(x,w,v5) = K(y \ ((z / x) \ u),L(x,w,v5)). [para(8863(a,1),4838(a,1,1,1))]. 8881 K(x,T(y \ T(x,z),u)) = K(x,T(y \ x,u)). [para(4897(a,2),8879(a,1,2,1,2))]. 8882 K(x,T(T(x,y) \ z,u)) = K(x,T(x \ z,u)). [para(5191(a,1),8879(a,1,2,1)),flip(a)]. 8883 K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ T(x,u),w)). [para(7328(a,1),8879(a,1,2,1,2))]. 8884 (x * T(y,L(z,y,x))) \ (x * (y * z)) = L(T(z,y),y,x). [hyper(236,a,40,a,b,7728,a)]. 8885 R(x,K(y,z),R(z,u,w)) = x. [hyper(467,a,7773,a)]. 8886 x / (K(y,z) * R(z,u,w)) = (x / R(z,u,w)) * K(z,y). [hyper(236,a,7578,a(flip),b,8885,a(flip)),flip(a)]. 8887 R(x,K(y,z),L(z,u,w)) = x. [hyper(467,a,7774,a)]. 8888 R(x,K(y,z),L(T(z,u),w,v5)) = x. [para(7314(a,1),8887(a,1,2))]. 8889 x \ (((y \ x) * y) * L(T(y,z),u,w)) = K(y \ x,y) * L(T(y,z),u,w). [para(8888(a,1),498(a,1,1))]. 8890 (x * T(K(y,z) \ u,K(y,z))) * K(y,z) = (x * (K(z,y) * u)) * (u / (u / K(y,z))). [para(5260(a,1),7867(a,2,1,2))]. 8891 L(x,K(y,K(z,u)),u / K(w,z)) = L(x,v5 / v6,(v6 * (v5 / v6)) \ v5). [para(7463(a,1),7900(a,1,2,2))]. 8892 R(K(x,K(y,z)),u,w) = K(R(K(x,y),u,w),z). [para(5903(a,1),7903(a,1,1)),flip(a)]. 8893 K(R(K(x,y),z,u),w) = K(y,R(K(x,w),z,u)). [para(5903(a,1),7940(a,1,2)),flip(a)]. 8894 R(K(x,K(y,z)),u,w) = K(y,R(K(x,z),u,w)). [hyper(236,a,8892,a,b,8893,a(flip)),flip(a)]. 8895 R(K(x,K(y,z)),u,w) = K(x,R(K(y,z),u,w)). [para(7919(a,1),8894(a,1,1))]. 8897 x * R(K(x,K(y,z)),u,w) != v5 | T(x,R(K(y,z),u,w)) = v5. [para(8895(a,2),4890(a,1,2))]. 8898 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w) \ 1)). [para(6791(a,1),8895(a,2,2))]. 8899 (x / y) \ T(x,K(z,u)) = y * K(z,K(u,((x / y) \ 1) \ y)). [para(16(a,1),7951(a,1,2,1))]. 8900 T(K(x,y),T(z,x \ u)) = T(K(x,y),T(z,u)). [hyper(7895,a,8025,a),flip(a)]. 8901 T(K(x,y),T(z,x * u)) = T(K(x,y),T(z,u)). [para(13(a,1),8900(a,1,2,2)),flip(a)]. 8903 L(K(x,y),z * T(x,u),w) = K(L(x,z,w),y). [hyper(236,a,8065,a(flip),b,8090,a)]. 8905 L(K(x,y),x * z,u) = K(L(x,z,u),y). [para(119(a,1),8903(a,1,2))]. 8906 K(L(x,T(x,y) \ 1,z),u) = L(K(x,u),K(y,x),z). [para(4835(a,2),8903(a,1,2)),flip(a)]. 8907 K(L(x,y,z),x * y) = K(x,x * y). [hyper(7763,a,8905,a),flip(a)]. 8908 K(L(x,y,z),(z \ u) \ (x * y)) = K(x,u \ (z * (x * y))). [hyper(236,a,6595,a(flip),b,8905,a(flip))]. 8909 K(L(x,y,z),y) = K(x,L(y,x,z)). [hyper(236,a,6584,a(flip),b,8905,a(flip))]. 8910 L(K(x,y),T(x,z) * u,w) = K(L(T(x,z),u,w),T(y,z)). [para(8054(a,1),8905(a,1,1))]. 8911 R(K(x,y),T(y,z) * u,w) = K(x,R(y,u,w)). [hyper(236,a,8077,a(flip),b,8091,a)]. 8912 R(K(x,y),T(y,z) * u,w) != v5 | K(x,R(y,u,w)) = v5. [para(8091(a,2),8183(a,1))]. 8914 K(x,R(y,T(y,z) \ u,w)) = R(K(x,y),u,w). [para(14(a,1),8911(a,1,2)),flip(a)]. 8915 R(K(x,y),K(z,y) * u,w) = R(K(x,y),u,w). [hyper(236,a,6827,a,b,8914,a(flip)),flip(a)]. 8917 R(K(x,y),K(y,z) * u,w) = R(K(x,y),u,w). [para(5268(a,1),8915(a,1,2)),flip(a)]. 8918 R(K(x,y),y \ K(y,z),u) = R(K(x,y),y \ 1,u). [para(5263(a,1),8915(a,1,2)),flip(a)]. 8919 (x \ 1) * (R(K(y,x),x \ K(x,z),u) * u) = ((((x \ 1) * (K(y,x) * u)) / ((x \ 1) * u)) * (x \ 1)) * u. [para(8918(a,2),1523(a,2,2,1)),flip(a)]. 8920 R(K(x,y),y * z,u) != w | K(x,R(y,z,u)) = w. [para(118(a,1),8912(a,1,2,1))]. 8921 K(x \ y,T(z,x)) = K(y / (x * K(z,u)),z). [hyper(236,a,8687,a(flip),b,8131,a(flip)),flip(a)]. 8922 K(x / (y * K(z,u)),z) = K(x / y,z). [hyper(8184,a,8921,a),flip(a)]. 8925 K(T(x,y),y \ z) = K(x,z / (y * K(u,x))). [hyper(236,a,8829,a(flip),b,8139,a(flip)),flip(a)]. 8926 K(x,y / (z * K(u,x))) = K(x,y / z). [hyper(8185,a,8925,a),flip(a)]. 8929 K(x,y / (z * K(x,u))) = K(x,y / z). [para(7540(a,1),8926(a,1,2,2)),flip(a)]. 8930 K(x * K(y,z),u / (w * K(y,x))) = K(x * K(y,z),u / w). [para(7573(a,1),8926(a,1,2,2,2))]. 8931 ((x * (y * K(z,y))) / x) / ((x * y) / x) = K(T(z,x),y). [para(4854(a,1),8140(a,1,1,1,2))]. 8932 K(x \ 1,y) * K(y,x \ K(x,z)) = K(y,K(z,x \ 1)). [hyper(236,a,7923,a,b,8227,a)]. 8933 T(x,R(y / (y / z),u,w)) = x * K(T(x,z \ y),R(z,u,w)). [para(4206(a,1),8240(a,1,2,1))]. 8934 T(x * K(y,z),K(z,u)) = T(x,K(z,u)) * K(y,z). [hyper(7946,a,8258,a),flip(a)]. 8935 T(K(x,y) * z,K(x,u)) = K(x,y) * T(z,K(x,u)). [hyper(6146,a,8934,a),flip(a)]. 8936 T(T(x,y),K(y,z)) * K(u,y) = T(x * K(u,y),T(y,z)). [hyper(236,a,7178,a(flip),b,8934,a(flip))]. 8937 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(5909(a,1),8934(a,2,2))]. 8938 T(x * K(y,z),K(z,u)) \ T(x,K(z,u)) = K(z,y). [para(8934(a,2),7549(a,1,1))]. 8939 K(x,K(y,z)) * T(y,K(x,u)) = T(T(y,K(x,z)),K(x,u)). [para(7925(a,1),8935(a,1,1)),flip(a)]. 8940 T(x,K(y,z)) \ T(x * K(y,u),K(y,z)) = K(y,u). [para(7540(a,1),8938(a,1,1,1))]. 8941 T(x * K(y,z),K(y,u)) = T(x,K(y,u)) * K(y,z). [para(8940(a,1),14(a,1,2)),flip(a)]. 8942 T(x * K(y,x),K(y,z)) = x * K(y,T(x,z)). [hyper(236,a,8040,a(flip),b,8941,a)]. 8943 T(x * K(y,x),K(y,z)) != x * u | K(y,T(x,z)) = u. [para(8942(a,2),19(a,1))]. 8944 T(x * K(y,T(x,z)),y) != u | T(x,K(y,z)) = u. [para(8942(a,1),5036(a,1,1))]. 8945 L(K(x,y),z,L(x,u,w)) = K(x,y). [hyper(7030,a,8274,a)]. 8946 (L(x,y,z) * (u * K(x,w))) \ (L(x,y,z) * u) != v5 | K(w,x) = v5. [para(8274(a,1),7560(a,1,1))]. 8947 K(L(x,y,L(x,z,u)),w) = K(x,w). [hyper(236,a,8905,a(flip),b,8945,a(flip)),flip(a)]. 8948 K(x \ (x * y),x) = K(K(z \ x,z) * y,x). [hyper(236,a,6632,a(flip),b,8325,a(flip)),flip(a)]. 8949 K(K(x \ y,x) * z,y) = K(z,y). [hyper(8409,a,8948,a),flip(a)]. 8952 (K(x \ y,x) * z) * K(z,y) = T(K(x \ y,x) * z,y). [para(8949(a,1),4887(a,2,2)),flip(a)]. 8953 T(x,T(x * (y \ 1),z)) = T(x,T(y \ x,z)). [hyper(236,a,8248,a(flip),b,8349,a(flip))]. 8954 K(x * (R(y,z,y) \ u),y) = K(x * (u / T(y,z)),y). [hyper(236,a,8761,a(flip),b,8359,a(flip))]. 8955 K(x * (R(x,y,x) \ z),x) = K(z,x). [hyper(236,a,7665,a(flip),b,8954,a)]. 8956 K(R(x,y,x) * z,x) = K(x * z,x). [para(13(a,1),8955(a,1,1,2)),flip(a)]. 8957 K(x * R(y,z,y),y) = K(y * x,y). [hyper(236,a,7514,a(flip),b,8956,a(flip)),flip(a)]. 8958 T(x,y * R(x,z,x)) = 1 / (x \ K(x * y,x)). [para(8957(a,1),5013(a,2,2,2))]. 8959 T(x,y * R(x,z,x)) = T(x,x * y). [hyper(236,a,5013,a,b,8958,a)]. 8960 T(x,y * R(x,z,x)) = x * K(x,x * y). [hyper(236,a,4887,a(flip),b,8959,a)]. 8961 K(x,y * R(x,z,x)) = K(x,x * y). [hyper(4954,a,8960,a)]. 8962 K(x,R(x,y,x) * z) = K(x,x * z). [hyper(236,a,7441,a,b,8961,a(flip)),flip(a)]. 8963 K(R(x,y,x),R(x,z,x) * u) = K(x,x * u). [hyper(8346,a,8962,a)]. 8964 K(x,K(y,z)) * (T(z,y) * u) = T(z,T(y,x)) * u. [para(7982(a,1),8434(a,2,1))]. 8965 K(R(x / (x / y),z,u),w) = K(R(y,z,u),T(w,x)). [hyper(236,a,8792,a(flip),b,8444,a)]. 8966 K(R(x,y / x,z),T(u,y)) = K((y * z) / ((y / x) * z),u). [para(114(a,1),8965(a,1,1)),flip(a)]. 8967 K(K(x,y) * z,z \ x) = K(z,z \ T(x,y)). [hyper(236,a,6995,a(flip),b,8447,a(flip))]. 8968 K(x,L(y,z / T(y,u),w)) = L(K(x,y),z,w). [para(8054(a,1),8448(a,1,1)),flip(a)]. 8969 L(K(x,y),z * T(y,u),w) = K(x,L(y,z,w)). [para(15(a,1),8968(a,1,2,2)),flip(a)]. 8970 L(K(x,y),y * z,u) = K(x,L(y,z,u)). [para(138(a,1),8968(a,1,2,2)),flip(a)]. 8971 K(x,L(y,y \ z,u)) = L(K(x,y),z,u). [para(197(a,1),8968(a,1,2,2))]. 8973 K((x \ y) \ (z * u),L(z,u,x)) = K(y \ (x * (z * u)),z). [hyper(236,a,6568,a(flip),b,8970,a(flip))]. 8975 (x * (y * z)) * K(u,L(y,z,x)) = x * ((y * z) * K(u,y)). [para(8970(a,1),103(a,1,2))]. 8976 L(K(x,y),T(y,z) * u,w) = K(x,L(y,K(y,z) * u,w)). [para(4856(a,1),8970(a,1,2))]. 8977 K(x,L(y,y \ 1,z)) = K(x,y). [hyper(236,a,325,a(flip),b,8971,a)]. 8978 K(x,L(y,z * K(y,u),w)) = K(x,L(y,z,w)). [hyper(236,a,6589,a(flip),b,8969,a(flip)),flip(a)]. 8980 K(x,L(y,K(y,z) * u,w)) = K(x,L(y,u,w)). [para(7281(a,1),8978(a,1,2,2))]. 8981 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(236,a,8445,a(flip),b,8464,a)]. 8982 (K(x,K(y,z)) * T(x,K(u,w))) \ x = K(u,K(w,x)) * K(z,K(x,y)). [para(7920(a,1),8491(a,2,2))]. 8983 K(x,T(y,z \ (u * x))) = K(x,T(y,z \ (x * u))). [hyper(8428,a,8536,a),flip(a)]. 8984 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(6249(a,2),8551(a,2,2,2)),flip(a)]. 8985 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(((x * (y * x)) / x) / y,T(x,y * x) \ z). [para(1174(a,1),8586(a,1,2,2,1)),flip(a)]. 8986 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(8683(a,1),450(a,1,1,1))]. 8987 K((x * y) \ (z \ x),z) = K(y \ (z \ 1),z). [hyper(236,a,7647,a(flip),b,8729,a)]. 8988 K((x \ y) \ (z \ 1),z) = K(y \ (z \ x),z). [para(14(a,1),8987(a,1,1,1)),flip(a)]. 8989 L(K((x \ y) \ (z \ 1),z),z \ 1,u) = K(y \ (z \ x),z). [hyper(6953,a,8988,a)]. 8990 K(x,y / (((x \ z) * x) * u)) = K(x,y / (z * u)). [para(8731(a,1),8926(a,1,2,2))]. 8991 K(x,y / ((z * x) * u)) = K(x,y / ((x * z) * u)). [para(13(a,1),8990(a,1,2,2,1,1))]. 8992 K(x,y \ (x \ ((x * z) * y))) = ((z * x) * y) \ ((x * z) * y). [para(13(a,1),8745(a,1,1,1,1)),flip(a)]. 8993 (x / T(y \ 1,z)) \ K(y,y \ 1) = (x / T(1 / y,z)) \ 1. [para(8757(a,1),3638(a,1,1)),flip(a)]. 8994 T(x,y / T(1 / z,u)) = T(x,y / T(z \ 1,u)). [para(8757(a,1),4476(a,1,2))]. 8995 L(x,y / T(1 / z,u),w) = L(x,y / T(z \ 1,u),w). [para(8757(a,1),6997(a,1,2))]. 8996 K(x,(y * R(x,z,u)) / w) = K(x,y / (R(x,z,u) \ w)). [hyper(236,a,7501,a(flip),b,8781,a)]. 8997 T(x,y) \ T(x * K(z,T(x,u)),y) = K(z,T(T(x,y),u)). [hyper(80,a,8791,a)]. 8998 K(T(x,y \ z),R(y,u,w)) = K(T(x,z),R(y,u,w)). [hyper(5115,a,8793,a),flip(a)]. 8999 K(T(x,y),z \ T(x,y)) != u | K(x,T(z \ T(T(x,w),y),y)) = u. [para(8836(a,1),7823(a,1))]. 9000 K(x,T(y \ T(T(x,z),u),w)) = K(x,T(y \ x,w)). [hyper(236,a,8881,a(flip),b,8883,a)]. 9002 (x * T(y,L(z * K(y,z),y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(4853(a,1),8884(a,2,1))]. 9004 R(K(x,K(y,z \ 1)),u,w) * x = T(x,K(R(z,u,w) \ 1,y)). [para(8898(a,2),7958(a,1,1))]. 9005 L(K(x,y),T(x,z) * u,w) = K(L(x,u,w),y). [hyper(236,a,8065,a(flip),b,8910,a)]. 9006 L(K(x,y),T(x,z) * u,w) != v5 | K(L(x,u,w),y) = v5. [para(8910(a,2),8181(a,1))]. 9008 K(L(x,T(x,y) \ z,u),w) = L(K(x,w),z,u). [para(14(a,1),9005(a,1,2)),flip(a)]. 9009 K(L(x,T(x,y) \ 1,z),u) = K(x,u). [hyper(236,a,325,a(flip),b,9008,a)]. 9010 L(K(x,y),K(z,x),u) = K(x,y). [hyper(236,a,8906,a(flip),b,9009,a(flip)),flip(a)]. 9012 (x * K(y,z)) * K(z,u) = x * (K(y,z) * K(z,u)). [para(9010(a,1),103(a,1,2))]. 9014 (x * K(y,z)) * R(K(z,u),w,v5) = x * (K(y,z) * R(K(z,u),w,v5)). [para(9010(a,1),443(a,1,2,1))]. 9015 L(K(x,y),L(K(z,x),u,w),v5) = K(x,y). [para(5909(a,1),9010(a,1,2))]. 9016 (x * L(K(y,z),u,w)) * K(z,v5) = x * (L(K(y,z),u,w) * K(z,v5)). [para(9015(a,1),103(a,1,2))]. 9017 (x * (K(y,z) * K(z,u))) * K(u,z) = x * K(y,z). [hyper(7559,a,9012,a)]. 9018 R(x,K(y,z),K(z,u)) = x. [hyper(467,a,9012,a)]. 9019 x * (K(y,z) * K(z,z * y)) = (x / R(z,y,z)) * z. [hyper(236,a,8777,a(flip),b,9012,a(flip))]. 9020 (x * K(y,z)) * K(z,u) = x * (K(z,u) * K(y,z)). [para(2192(a,2),9012(a,2,2))]. 9021 R(x,T(K(y,z),u),K(z,w)) = x. [para(2061(a,1),9018(a,1,2))]. 9022 (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(9018(a,1),2431(a,1,1,1))]. 9023 R(x,L(K(y,z),u,w),K(z,v5)) = x. [para(5909(a,1),9018(a,1,2))]. 9024 (x * y) \ (y * T(x,z)) = K(y,x) * K(x,z). [para(9018(a,1),6243(a,1,1))]. 9025 R(x,K(y,z),R(K(z,u),w,v5)) = x. [para(6797(a,1),9018(a,1,3))]. 9026 R(x,T(K(y,z),u),T(K(z,w),v5)) = x. [para(5647(a,1),9021(a,1,3))]. 9027 (x * y) \ ((x * (y * K(z,u))) * K(u,w)) = L(K(z,u),y,x) * K(u,w). [para(9023(a,1),499(a,1,1))]. 9028 T(K(x,y),z) * T(K(y,u),K(x,y) * z) = z \ (K(y,u) * (K(x,y) * z)). [para(9026(a,1),870(a,1,1)),flip(a)]. 9029 x * T(K(y,z),u) != w | w * T(K(z,y),u) = x. [para(9026(a,1),6880(a,1)),flip(a)]. 9030 (x * y) \ (y * T(x,z)) = K(x,z) * K(y,x). [hyper(236,a,2192,a,b,9024,a)]. 9031 K(x,y) * K(y,y \ x) = a(y,x / y,y). [hyper(236,a,4157,a(flip),b,9024,a(flip))]. 9032 (x * y) \ (y * T(x,z)) != u | K(x,z) * K(y,x) = u. [para(9024(a,2),2197(a,1))]. 9034 x \ R(x,x \ y,x) = a(x,y / x,x). [hyper(236,a,5640,a,b,9031,a(flip)),flip(a)]. 9035 a(x,y / x,x) \ K(y,x) = K(x \ y,x). [para(9031(a,1),7549(a,1,1))]. 9036 a(x,(x * y) / x,x) = x \ R(x,y,x). [para(13(a,1),9034(a,1,2,2)),flip(a)]. 9037 x \ R(x,T(y,x),x) = a(x,y,x). [para(163(a,1),9036(a,1,2)),flip(a)]. 9038 x \ R(x,y,x) = a(x,y,x). [para(4335(a,1),9037(a,1,2))]. 9039 K(x * y,x) * K(x,y) = a(x,y,x). [hyper(5627,a,9038,a)]. 9040 K(x,y) * K(x * y,x) = a(x,y,x). [hyper(5611,a,9038,a)]. 9041 R(x,y,x) / x = a(x,y,x). [hyper(3691,a,9038,a)]. 9042 T(x,y) \ R(T(x,y),z,x) = a(x,z,x). [hyper(236,a,7677,a,b,9038,a(flip)),flip(a)]. 9043 K(x,y) * K(y,y \ x) = a(y,y \ x,y). [hyper(236,a,5640,a(flip),b,9038,a(flip)),flip(a)]. 9044 x * a(x,y,x) = R(x,y,x). [para(9038(a,1),14(a,1,2))]. 9046 a(x,y,x) * x = R(x,y,x). [para(9038(a,1),3690(a,1,1))]. 9047 T(x * y,x) / x = y * a(x,y,x). [para(9038(a,1),8603(a,1,2)),flip(a)]. 9048 a(x,y,x) \ R(x,y,x) = x. [para(9041(a,1),65(a,1,1))]. 9050 R(x,y,x) != x * z | a(x,y,x) = z. [para(9044(a,1),19(a,1))]. 9051 x \ R(x,y,x) != z | a(x,y,x) = z. [para(9044(a,1),283(a,1,2)),flip(b)]. 9053 a(x,y,x) * K(y,x) = K(x * y,x). [hyper(7559,a,9039,a)]. 9054 K(x,x * y) * a(x,y,x) = K(x,y). [hyper(5285,a,9039,a)]. 9056 a(x,y,x) * K(x,x * y) = K(x,y). [para(9039(a,1),7538(a,1,1))]. 9057 K(x,y) * a(y,x,y) = K(y * x,y). [hyper(5285,a,9040,a)]. 9059 K(x,y \ 1) * K(y \ x,x) = a(x,y \ 1,x). [para(5413(a,1),9040(a,1,2))]. 9060 K(x,y \ 1) * K(x * ((z * y) \ z),x) = a(x,(z * y) \ z,x). [para(6407(a,1),9040(a,1,1))]. 9061 a(x,y,x) * (y * x) = T(x * y,x). [para(9040(a,1),6625(a,1,1))]. 9062 a(x,y,x) \ K(x,y) = K(x,x * y). [para(9040(a,1),7549(a,1,1))]. 9063 a(x,y,x) \ K(x,y) != z | K(x,x * y) = z. [para(9040(a,1),7560(a,1,1))]. 9064 R(T(x * y,x) / x,z,u) = R(y,z,u) * a(x,R(y,z,u),x). [hyper(236,a,1958,a,b,9047,a(flip)),flip(a)]. 9065 (x \ y) * a(x,x \ y,x) = T(y,x) / x. [para(14(a,1),9047(a,1,1,1)),flip(a)]. 9066 T(x * a(y,x,y),y) = y \ T(y * x,y). [para(9047(a,1),121(a,1,1))]. 9068 (x * y) \ (y * (T(z * T(x,y),z) / z)) = L(a(z,T(x,y),z),T(x,y),y). [para(9047(a,2),177(a,1,2,2))]. 9070 K(x * y,x) * K(x,y) != z | a(x,y,x) = z. [para(5626(a,2),9051(a,1))]. 9071 a(x,y,x) \ K(y * x,x) = K(y,x). [hyper(72,a,5559,a,b,9053,a)]. 9072 a(x,y \ 1,x) \ K(y \ x,x) = K(y \ 1,x). [hyper(72,a,5413,a(flip),b,9053,a)]. 9073 (R(a(x,y,x),K(y,x),z * u) * (K(y,x) * z)) \ (K(x * y,x) * (z * u)) = L(L(u,z,K(y,x)),K(y,x) * z,R(a(x,y,x),K(y,x),z * u)). [para(9053(a,1),1134(a,1,2,1))]. 9074 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(6385(a,1),9053(a,2,1))]. 9075 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(8467(a,1),9053(a,1,2))]. 9076 K(x,y) * a(x,x \ y,x) = K(x,x \ y). [para(14(a,1),9054(a,1,1,2))]. 9078 a(x,x \ y,x) * K(x,y) = K(x,x \ y). [para(14(a,1),9056(a,1,2,2))]. 9079 K(x,y) * a(y,x,y) = K(x * y,y). [hyper(236,a,5559,a,b,9057,a)]. 9080 a(x,y,x) * T(x,z) = R(T(x,z),y,x). [para(9042(a,1),3690(a,1,1))]. 9081 R(T(x / y,K(y,x)),z,x / y) = a(x / y,z,x / y) * (x / y). [para(7172(a,1),9080(a,1,2)),flip(a)]. 9083 (x * y) \ (y * T(x,z)) != u | K(y,x) * K(x,z) = u. [para(9030(a,2),2193(a,1))]. 9085 L(K(x,y),K(z,y),u) = K(x,y). [hyper(8807,a,9017,a)]. 9086 (x * (K(y,z) * K(u,y))) * K(z,y) = x * K(u,y). [para(2192(a,2),9017(a,1,1,2))]. 9087 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(168,a,9020,a,b,606,a)]. 9089 (x / y) * (K(y,z) * K(u,y)) = (x / T(y,u)) * K(y,z). [para(7555(a,1),9020(a,1,1)),flip(a)]. 9090 (x * (K(y,z) * K(u,y))) * (K(z,y) * K(y,u)) = x. [hyper(18,a,9017,a,b,9086,a(flip)),flip(a)]. 9092 L((K(x,y) * K(z,x)) \ 1,K(x,y) * K(z,x),u) = K(y,x) * K(x,z). [hyper(381,a,9090,a)]. 9093 x / (K(y,z) * K(z,u)) = x * (K(z,y) * K(u,z)). [hyper(87,a,9090,a)]. 9094 (x * (K(y,z) * K(u,y))) * w != x | K(z,y) * K(y,u) = w. [para(9090(a,1),19(a,1)),flip(a)]. 9095 (x / R(y,z,y)) * y = x * (y \ L(y,z,y)). [para(5712(a,1),9019(a,1,2)),flip(a)]. 9097 x / R(x,y,x) = x \ L(x,y,x). [hyper(70,a,9095,a(flip),b,1914,a(flip))]. 9099 (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(9097(a,1),2799(a,1,1,2,1))]. 9101 (L(x,y,z) * u) \ (u * L(T(x,w),y,z)) != v5 | K(u,L(x,y,z)) * K(L(x,y,z),w) = v5. [para(40(a,2),9083(a,1,2,2))]. 9102 K(T(x,y),z) * ((y * z) / y) = (y * (z * K(x,z))) / y. [para(8931(a,1),16(a,1,1))]. 9103 K(x,K(y,z \ 1)) \ (K(z \ 1,x) * (z \ K(z,y))) = T(z \ K(z,y),x). [para(8932(a,1),7636(a,1,1))]. 9104 T(x * K(y,z),T(z,u)) = T(x,T(z,u)) * K(y,z). [para(7135(a,1),8936(a,1,1)),flip(a)]. 9105 T(K(x,y) * z,T(x,u)) = K(x,y) * T(z,T(x,u)). [hyper(6146,a,9104,a),flip(a)]. 9106 T(K(x \ y,x) * z,y) = K(x \ y,x) * T(z,y). [hyper(6258,a,8952,a),flip(a)]. 9107 T(K(x \ (y * x),x) * z,y * x) = K(y,x) * T(z,y * x). [para(4996(a,1),9106(a,2,1))]. 9108 L(K(x,y),T(y,z) * u,w) = K(x,L(y,u,w)). [hyper(236,a,8980,a(flip),b,8976,a)]. 9110 L(K(x,L(y,x,z)),T(y,u) * w,v5) = K(L(x,y,z),L(y,w,v5)). [para(8909(a,1),9108(a,1,1))]. 9111 K(T(x,y) \ T(z,y),T(z,u)) = K(x \ z,T(T(z,u),y)). [hyper(6655,a,8997,a)]. 9112 (x / y) * (K(y,z) * K(y * z,y)) = x / L(y,z,y). [hyper(236,a,8758,a(flip),b,9089,a)]. 9113 (x / y) * a(y,z,y) = x / L(y,z,y). [para(9040(a,1),9112(a,1,2))]. 9114 (x * y) / L(y,z,y) = x * a(y,z,y). [para(15(a,1),9113(a,1,1)),flip(a)]. 9115 (x / L(y,z,y)) * y = x * a(y,z,y). [hyper(1666,a,9114,a)]. 9116 (x * a(y,z,y)) \ (x * y) = L(y,z,y). [para(9114(a,1),65(a,1,1))]. 9118 (x * L(y,z,y)) * a(y,z,y) = x * y. [para(15(a,1),9115(a,1,1)),flip(a)]. 9119 a(x,y,x) \ x = L(x,y,x). [hyper(3622,a,9116,a)]. 9120 ((x * y) * a(T(y,x),z,T(y,x))) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(890(a,1),9116(a,1,2))]. 9121 (T(x * y,x) / x) \ (y * x) = L(x,y,x). [para(9047(a,2),9116(a,1,1))]. 9123 (T(x * K(y \ x,z),x) / x) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(8113(a,1),9121(a,1,2))]. 9124 ((x * y) / x) / ((x * (y * K(z,y))) / x) = K(y,T(z,x)). [para(9102(a,1),5266(a,1,2))]. 9125 ((x * y) / x) / ((x * (y * K(z,y))) / x) != u | K(y,T(z,x)) = u. [para(9102(a,1),5272(a,1,2))]. 9126 K(T(x,y) \ z,T(z,u)) = K(x \ z,T(T(z,u),y)). [hyper(236,a,8705,a(flip),b,9111,a(flip)),flip(a)]. 9128 ((x * y) / x) / ((x * (z / (z / y))) / x) = K(y,T(y \ z,x)). [para(4799(a,2),9124(a,1,2,1,2))]. 9129 ((x * y) / x) / ((x * ((z * y) / z)) / x) = K(y,T(z,x)). [para(4854(a,2),9124(a,1,2,1,2))]. 9130 ((x * y) / x) / ((x * (y * K(z / u,y))) / x) = K(y,T((u / z) \ 1,x)). [para(5699(a,1),9124(a,1,2,1,2,2))]. 9132 T((x \ 1) * y,K(x,z)) = (x \ 1) * T(y,K(x,z)). [hyper(794,a,7182,a),flip(a)]. 9133 K(x,y) * T((x \ 1) * z,K(x,y)) = (x \ 1) * (z * K(x,y)). [para(9132(a,2),6124(a,1,2))]. 9134 T(x,T((y * x) / z,z)) = T(x,(z / x) \ y). [hyper(7253,a,8476,a),flip(a)]. 9135 T(x,(y / x) \ z) = T(x,y \ (z * x)). [para(121(a,1),9134(a,1,2)),flip(a)]. 9136 L(T(x,y \ (z * x)),u,w) \ L(x,u,w) = K((y / x) \ z,L(x,u,w)). [para(9135(a,1),4838(a,1,1,1))]. 9137 L(K(x,T((y \ z) \ u,w)),u,y) = K(x,T(z \ (y * u),w)). [para(7256(a,2),7263(a,1,1))]. 9138 L(K(x,T(y,z)),z,u) * (u * z) = u * (K(x,T(y,u * z)) * z). [para(7353(a,1),7287(a,1,2)),flip(a)]. 9139 K(x,y) * (K(x * y,z) * x) = K(x * y,z) * T(x,y). [hyper(7292,a,8482,a)]. 9140 K(L(x,y,z),u * K(w,x)) = K(L(x,y,z),u). [hyper(236,a,4888,a(flip),b,7461,a)]. 9141 K(L(x,y,z),K(u,x) * w) = K(L(x,y,z),w). [para(7249(a,1),9140(a,1,2))]. 9142 K(L(x,y,z),L(K(u,x),w,v5) * v6) = K(L(x,y,z),v6). [para(5909(a,1),9141(a,1,2,1))]. 9144 x \ R(x,y * K(x,z),x) = K(x,y) * K(y * x,x). [para(7606(a,1),7603(a,2,2))]. 9145 x \ R(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(236,a,5628,a(flip),b,9144,a)]. 9147 a(x,y * K(x,z),x) = x \ R(x,y,x). [hyper(9051,a,9145,a)]. 9148 a(x,y * K(x,z),x) != u | a(x,y,x) = u. [para(9147(a,2),9051(a,1))]. 9149 K(R(x,y,R(x,z,u)),T(w,y * R(x,z,u))) = K(x,T(w,y)). [hyper(236,a,7260,a(flip),b,7850,a)]. 9150 R(x,y,z * K(y,z)) != u | R(x,T(y,z),z) = u. [para(7865(a,1),475(a,1))]. 9151 L(K(x,T(T(y,z),u * z)),z,u) = (u * (K(x,y) * z)) / (u * z). [para(7281(a,1),8050(a,1,1,2)),flip(a)]. 9152 K(L(x \ y,x,z),T(x,z)) = K((z * y) / (z * x),x). [hyper(236,a,7270,a(flip),b,8127,a(flip)),flip(a)]. 9153 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(5846(a,1),8387(a,1,2,1))]. 9154 K(L(x,y,L(x,z,u)),T(w,L(x,z,u) * y)) = K(x,T(w,y)). [hyper(236,a,8075,a(flip),b,8446,a(flip))]. 9156 L(T(K(x,y \ z),u),y \ z,w) = K(x,T((z \ y) \ 1,u)). [hyper(236,a,7256,a,b,8526,a)]. 9157 K(x,K(y,z)) * (K(x,y) * u) != w | K(x,T(y,z)) * u = w. [para(7885(a,1),8566(a,1,1))]. 9158 K(x,K(y,z)) * (K(z,x) * u) != w | K(z,T(x,y)) * u = w. [para(7919(a,1),8566(a,1,1))]. 9159 x * K(y,(x \ 1) * (z * x)) = K(y,L(z,x,x \ 1)) * x. [para(5477(a,1),8580(a,1,2))]. 9161 K(x,(y * x) \ z) = K(x,y \ (x \ z)). [hyper(8670,a,7589,a),flip(a)]. 9162 K(x,(y * x) \ z) != u | K(x,y \ (x \ z)) = u. [para(7589(a,1),8670(a,1))]. 9163 K(x,L(x \ y,x,z)) = K(x,z \ (x \ (z * y))). [para(105(a,2),9161(a,1,2))]. 9164 K(x,y \ (x \ (y * (z * x)))) = K(x,L(T(z,x),x,y)). [para(178(a,1),9161(a,1,2)),flip(a)]. 9165 L(K(x,x \ (y \ z)),y \ z,y) != u | K(x,y \ (x \ z)) = u. [para(6594(a,2),9162(a,1))]. 9166 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,(y \ ((1 / z) \ y)) \ (x \ ((1 / z) \ y))). [para(4079(a,1),9163(a,2,2,2,2))]. 9167 K(x,y \ (x \ (y * (z * x)))) = K(x,L(z,x,y)). [hyper(236,a,5005,a(flip),b,9164,a)]. 9169 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(K(a(x,z,T(y,z)),z),u). [para(8709(a,1),7886(a,1,1)),flip(a)]. 9170 x * K(L(K(y,z),T(z,u),w),x) != v5 * (z \ x) | T(z,K(y,x)) = v5. [para(8770(a,2),20(a,1))]. 9171 (x * (y * L(x,z,u))) \ ((y * L(x,z,u)) * T(x,y)) = x \ R(x,y,L(x,z,u)). [hyper(236,a,9024,a,b,8771,a(flip)),flip(a)]. 9172 K(x,R(T(K(x,y),z * u),z,u)) = K(x,a(K(x,y),z,u)). [para(615(a,1),8827(a,1,2))]. 9173 K(x,a(K(x,y),z,u)) = 1. [hyper(236,a,5654,a(flip),b,9172,a(flip))]. 9175 T(x,a(K(x,y),z,u)) = x. [hyper(37,a,9173,a)]. 9176 T(a(K(x,y),z,u),x) = a(K(x,y),z,u). [hyper(35,a,9175,a)]. 9177 a(K(x,y),z,u) * x = x * a(K(x,y),z,u). [para(9175(a,1),119(a,1,2))]. 9178 K(x,y) * a(K(x,z),u,w) = a(K(x,z),u,w) * K(x,y). [para(9175(a,1),7249(a,1,2,1)),flip(a)]. 9179 K(a(K(x,y),z,u),w) * x = x * K(a(K(x,y),z,u),w). [para(9176(a,1),7249(a,1,2,1)),flip(a)]. 9180 K(L(x,y * z,u),(u \ (u * (x * y))) \ (x * (y * z))) = K(x,L(L(z,y,x),x * y,u)). [para(440(a,1),8908(a,2,2))]. 9181 K(R(x,y / x,z),u) = K((y * z) / ((y / x) * z),T(u,y)). [hyper(8174,a,8966,a)]. 9182 K(x,L(y,z,T(x,u))) = K(x,y). [hyper(17,a,8273,a,b,8975,a)]. 9184 (x * (y * z)) * K(u,L(y,z,x)) = x * (y * (z * K(u,y))). [para(8317(a,1),8975(a,2,2))]. 9185 K(x,T(L(y,z,T(x,u)),w)) = K(x,T(y,w)). [para(40(a,1),9182(a,1,2))]. 9186 K(x \ (y * (z \ 1)),z) = K(x \ (z \ y),z). [hyper(236,a,6568,a(flip),b,8989,a(flip)),flip(a)]. 9187 K(x,T((y \ z) \ x,u)) = K(x,T(z \ (y * x),u)). [hyper(6253,a,9137,a)]. 9188 K(x,T(y,z * R(x,u,w))) = K(x,T(y,z)). [hyper(236,a,8782,a(flip),b,9149,a(flip)),flip(a)]. 9190 K(x,T(y,z / R(x,u,w))) = K(x,T(y,z)). [para(16(a,1),9188(a,1,2,2)),flip(a)]. 9191 K(x,T(y,R(x,z,u) \ w)) = K(x,T(y,w)). [hyper(236,a,8392,a(flip),b,9190,a(flip)),flip(a)]. 9193 K(x,T(y,R(x,z,u) * w)) = K(x,T(y,w)). [para(13(a,1),9191(a,1,2,2)),flip(a)]. 9194 K(x,T(y \ (R(x,z,u) * w),w)) = K(x,(R(x,z,u) * w) / y). [hyper(8189,a,9193,a),flip(a)]. 9195 K(x,T(y,R(x,z,u) * w)) = K(x,y) * K(x,K(y,w)). [hyper(236,a,7883,a,b,9193,a)]. 9196 K(x,K(y,R(x,z,u) * w)) = K(x,K(y,w)). [hyper(8024,a,9195,a)]. 9197 K(x,T(y,R(x,z,u) * w)) != v5 | K(x,T(y,w)) = v5. [para(9195(a,2),7888(a,1))]. 9198 K(x,K(y,R(x,z,u) \ w)) = K(x,K(y,w)). [para(14(a,1),9196(a,1,2,2)),flip(a)]. 9199 K(x,K(y,x * z)) = K(x,K(y,z)). [para(338(a,1),9196(a,1,2,2,1))]. 9200 K(x,K(y,(x * z) * u)) = K(x,K(y,z * u)). [para(113(a,1),9196(a,1,2,2))]. 9201 K(x,K(y,y * z)) = K(y,K(x,z)). [hyper(7921,a,9199,a)]. 9202 K(x,K(y,T(x,z) * u)) = K(x,K(y,u)). [hyper(236,a,8215,a,b,9199,a(flip)),flip(a)]. 9203 K(x,K(y,x \ z)) = K(x,K(y,z)). [para(14(a,1),9199(a,1,2,2)),flip(a)]. 9204 K(x,K(y,y * z)) = K(x,K(y,z)). [hyper(236,a,7919,a,b,9201,a)]. 9205 K(x,K(x \ y,z)) = K(x,K(z,y)). [hyper(7971,a,9203,a)]. 9206 K(x,K(y,x \ z)) = K(x,K(z,y)). [hyper(236,a,7937,a,b,9203,a)]. 9207 K(x,K(y,x \ z)) = K(z,K(x,y)). [hyper(236,a,7923,a(flip),b,9203,a)]. 9208 K(x,K(y,y \ z)) = K(x,K(y,z)). [para(14(a,1),9204(a,1,2,2)),flip(a)]. 9209 K(x,K(y,z * y)) = K(x,K(y,z)). [para(6605(a,2),9204(a,1,2))]. 9210 K(x,K(y,z / y)) = K(x,K(y,z)). [para(6606(a,1),9204(a,1,2)),flip(a)]. 9211 K(x,K(x \ y,z)) = K(x,K(y,z)). [hyper(236,a,7937,a,b,9205,a)]. 9212 K(x,K(y,y \ z)) = K(y,K(z,x)). [hyper(7921,a,9206,a)]. 9214 K(x,y / z) * K(z \ y,x) = K(x,K(z,y)). [hyper(8725,a,9208,a)]. 9215 K(x,K(y,z \ 1)) = K(x,K(y,z \ y)). [para(5078(a,1),9208(a,1,2))]. 9216 K(x,K(y \ z,y)) = K(x,K(z / y,z)). [para(5558(a,1),9208(a,1,2))]. 9217 K(x,K(y,z * y)) != u | K(x,K(z,y)) = u. [para(9209(a,2),7971(a,1))]. 9218 K(x,K(y \ z,T(y,u))) = K(y,K(z,T(x,u))). [hyper(8036,a,9211,a)]. 9219 K(x,K(x * y,z)) = K(x,K(y,z)). [para(13(a,1),9211(a,1,2,1)),flip(a)]. 9220 K(x,K(y,z)) * (K(x,x \ y) * u) = K(x,T(x \ y,z)) * u. [para(9211(a,1),8576(a,1,1))]. 9221 K(x,K(y,y \ z)) != u | K(x,K(y,z)) = u. [para(9212(a,2),7939(a,1))]. 9223 K(x,K(x * y,z)) = K(y,K(x,z)). [hyper(236,a,7919,a,b,9219,a)]. 9224 K(x,K(x * y,z)) != u | K(y,K(x,z)) = u. [para(9219(a,2),7921(a,1))]. 9225 K(x * y,x) * K(x,K(y,z)) = K(x * y,T(x,z)). [para(9219(a,1),7956(a,1,2))]. 9226 K(x,K(x * y,z)) != u | K(x,K(y,z)) = u. [para(9223(a,2),7921(a,1))]. 9227 K(x,K(y / z,y)) = K(x,K(z,z \ y)). [hyper(7971,a,9216,a),flip(a)]. 9228 K(x,K(y / z,y)) = K(x,K(z,y)). [hyper(236,a,9208,a(flip),b,9227,a)]. 9229 K(x,K(y / z,y)) = K(y,K(x,z)). [hyper(236,a,7923,a(flip),b,9228,a)]. 9230 K(x,K(y \ z,z)) = K(x,K(y,z)). [para(62(a,1),9228(a,1,2,1)),flip(a)]. 9231 K(x,K(y,y / z)) = K(y,K(x,z)). [hyper(7971,a,9229,a)]. 9232 K(x,K(y,x / z)) = K(x,K(y,z)). [hyper(7939,a,9229,a)]. 9233 K(x,K(y,z \ y)) = K(x,K(z,y)). [hyper(7971,a,9230,a)]. 9234 K(x,K(y \ z,z)) = K(z,K(y,x)). [hyper(236,a,7885,a,b,9230,a)]. 9235 K(x,K(y,x / z)) = K(x,K(z,y)). [hyper(236,a,7937,a,b,9232,a)]. 9236 K(x,K(y,z)) * K(x / z,y) = K(z \ x,y). [para(9232(a,1),6308(a,1,1))]. 9237 K(x,K(y,z \ y)) = K(x,K(y,z)). [hyper(236,a,7937,a,b,9233,a)]. 9238 K(x,K(y,z \ 1)) = K(x,K(z,y)). [hyper(236,a,9215,a,b,9233,a(flip)),flip(a)]. 9239 T(x,K(y,z \ x)) = x * K(x,K(z,y)). [para(9234(a,1),7933(a,1,2)),flip(a)]. 9240 K(x,K(y \ z,z)) != u | K(x,K(y,z)) = u. [para(9234(a,2),7908(a,1))]. 9241 K(x / y,K(x,z)) = K(x,K(y,z)). [hyper(7939,a,9235,a)]. 9242 K(x,K(y,z \ 1)) = K(x,K(y,z)). [hyper(236,a,9215,a,b,9237,a(flip)),flip(a)]. 9243 K(x,K(y,z \ y)) != u | K(x,K(z,y)) = u. [para(9237(a,2),7971(a,1))]. 9244 K(x,K(y \ 1,z)) = K(x,K(y,z)). [hyper(7971,a,9238,a)]. 9245 K(K(x,y \ 1),z) = K(x,K(y,z)). [hyper(7947,a,9238,a)]. 9246 K(x \ 1,K(y,z)) = K(y,K(x,z)). [hyper(7939,a,9238,a)]. 9247 K(x,K(y,z \ 1)) = K(z,K(x,y)). [hyper(236,a,7919,a,b,9238,a)]. 9248 K(x,K(y,1 / z)) = K(x,K(z,y)). [para(5223(a,2),9238(a,1,2))]. 9249 K(x,K(y \ 1,z)) = K(x,K(z,y)). [para(5233(a,1),9238(a,1,2)),flip(a)]. 9250 K(x,K(y,z / (u * z))) = K(x,K(u,y)). [para(5797(a,2),9238(a,1,2))]. 9251 K(x,K(y \ z,u)) = K(x,K(u,z \ y)). [para(6408(a,1),9238(a,1,2)),flip(a)]. 9252 K(x / y,K(x,z)) = K(y,K(x,z)). [hyper(236,a,7919,a,b,9241,a)]. 9253 K(x,K(y \ 1,z)) = K(z,K(x,y)). [hyper(7960,a,9242,a)]. 9254 K(x \ 1,K(y,z)) = K(y,K(z,x)). [hyper(7939,a,9242,a)]. 9255 R(K(x,K(y,z \ 1)),u,w) = K(x,K(y,R(z,u,w))). [hyper(236,a,8898,a,b,9242,a(flip)),flip(a)]. 9256 K(x,K(y,1 / z)) = K(x,K(y,z)). [para(65(a,1),9242(a,1,2,2)),flip(a)]. 9257 K(x,K(y,z / u)) = K(x,K(y,u / z)). [para(5795(a,1),9242(a,1,2))]. 9258 K(x,K(y,z \ u)) = K(x,K(y,u \ z)). [para(6408(a,1),9242(a,1,2))]. 9259 K(x,K(y,z \ K(u,w))) = K(x,K(y,K(w,u) * z)). [para(6410(a,1),9242(a,1,2))]. 9260 K(x,y) * K(x,K(y,z)) = T(K(x,y),z \ 1). [para(9242(a,1),7881(a,1,2))]. 9261 T(x,K(y,z \ 1)) = K(y,K(x,z)) * x. [para(9242(a,1),7925(a,1,1)),flip(a)]. 9262 K(x,K(y \ 1,z)) = K(y,K(x,z)). [hyper(236,a,7919,a,b,9244,a)]. 9263 (x * K(y \ 1,z)) \ K(x,K(y,z)) = (K(y \ 1,z) * x) \ 1. [hyper(72,a,9244,a(flip),b,5728,a(flip))]. 9264 K(x,y * ((z \ (y \ 1)) * z)) = K(x,K(y * z,z)). [para(6076(a,2),9244(a,1,2))]. 9266 K(x \ 1,K(y,z)) = K(x,K(y,z)). [hyper(236,a,7919,a,b,9246,a)]. 9267 T(1 / x,K(y,z)) = K(y,K(x,z)) / x. [hyper(74,a,9246,a(flip),b,5156,a),flip(a)]. 9268 K(1 / x,K(y,z)) = K(y,K(z,x)). [para(65(a,1),9247(a,1,2,2)),flip(a)]. 9269 K(x,K(y,1 / z)) = K(z,K(x,y)). [para(5223(a,2),9247(a,1,2))]. 9270 K(x,K(y,z)) * (x \ 1) = T(x \ 1,K(y,z)). [para(9247(a,1),7934(a,1,1))]. 9272 K(x,K(y,1 / z)) != u | K(x,K(y,z)) = u. [para(9248(a,2),7971(a,1))]. 9273 K(x / y,K(x,z)) != u | K(x,K(y,z)) = u. [para(9252(a,2),7921(a,1))]. 9274 K(x,K(y,(z \ 1) / (u / z))) = K(y,(T(u,x) / z) / (u / z)). [para(5918(a,1),9253(a,1,2)),flip(a)]. 9275 K(x,K(y,1 / z)) != u | K(x,K(z,y)) = u. [para(9256(a,2),7971(a,1))]. 9276 (T(x * y,K(z,u)) / y) / x = K(z,K(u,(1 / y) / x)). [hyper(236,a,5715,a(flip),b,9268,a(flip)),flip(a)]. 9277 K(1 / x,K(y,z)) != u | K(y,K(x,z)) = u. [para(9268(a,2),7971(a,1))]. 9278 K(x,K(y,z)) * K(x,1 / z) = K(x,T(1 / z,y)). [para(9268(a,1),7954(a,1,1))]. 9279 T(x,K(y,z \ x)) = T(x,K(y,z)). [hyper(7976,a,9239,a(flip)),flip(a)]. 9280 T(x,K(y,x / z)) = T(x,K(y,z)). [hyper(6434,a,9279,a)]. 9281 K(1 / ((1 / x) / y),K(z,(y * x) / u)) = (T(y * x,K(z,u)) / x) / y. [para(9280(a,1),5715(a,2,1,1))]. 9282 K(x,K(y,z * x)) = K(x,K(z,y)). [hyper(236,a,9232,a(flip),b,9250,a(flip)),flip(a)]. 9283 K(x,K(y,z / (u * z))) != w | K(x,K(y,u)) = w. [para(9250(a,2),7971(a,1))]. 9284 K(x,K(y,z * x)) = K(z,K(x,y)). [hyper(236,a,7919,a,b,9282,a)]. 9285 T(x,K(y * z,z)) = K(z,K(y,x)) * x. [para(9282(a,1),7942(a,1,1)),flip(a)]. 9286 K(x,K(y \ (z * u),u \ (z \ 1))) = K(x,K(z * u,(z \ y) \ u)). [para(6627(a,1),9251(a,1,2)),flip(a)]. 9287 K(x,K(y,z \ u)) != w | K(x,K(y,u \ z)) = w. [para(9251(a,1),7971(a,1))]. 9288 K(x,K(y,z \ x)) = K(z,K(x,y)). [hyper(236,a,9207,a(flip),b,9258,a)]. 9289 K(x,K(y,z)) * (x \ y) = T(x \ y,K(y,z)). [para(9288(a,1),7934(a,1,1))]. 9290 T(x,K(y,z \ 1)) = T(x,K(z,y)). [hyper(236,a,7942,a(flip),b,9261,a)]. 9291 T(x,K(y,z \ 1)) = T(x,K(y,z)). [hyper(236,a,7925,a(flip),b,9261,a)]. 9292 T(x,K(y \ 1,z)) = T(x,K(y,z)). [hyper(8002,a,9290,a)]. 9294 T(x,K(y \ z,u)) = T(x,K(u,z \ y)). [para(6408(a,1),9290(a,1,2)),flip(a)]. 9295 T(T(x,y),K(y,z)) = T(x,T(y,z \ 1)). [hyper(7185,a,9291,a),flip(a)]. 9296 K(x,y \ 1) * T(z,K(x,y)) = z * K(x,y \ 1). [para(9291(a,1),119(a,1,2))]. 9297 T(x,K(y,z \ u)) = T(x,K(y,u \ z)). [para(6408(a,1),9291(a,1,2))]. 9298 T(T(x,y),K(y,z)) != u | T(x,T(y,z \ 1)) = u. [para(9291(a,1),7185(a,1))]. 9299 T(x,K(y \ 1,z)) != u | T(x,K(z,y)) = u. [para(9292(a,2),8002(a,1))]. 9300 1 / T(x,K(y,z)) = T(1 / x,K(y,z)). [hyper(236,a,7959,a(flip),b,9267,a),flip(a)]. 9301 T(x,K(y * z,z)) = T(x,K(y,z)). [hyper(236,a,7894,a(flip),b,9285,a)]. 9302 T(x,K(y * z,z)) != u | T(x,K(y,z)) = u. [para(9285(a,2),7897(a,1))]. 9303 T(x,K(y,z * y)) = T(x,K(z,y)). [hyper(8002,a,9301,a)]. 9304 T(x,K(y,y * z)) = T(x,K(z,y)). [para(6605(a,1),9303(a,1,2))]. 9305 T(x,K(y,y * z)) = T(x,K(y,z)). [hyper(236,a,7981,a,b,9304,a)]. 9306 T(x,K(y \ z,y)) = T(x,K(y,z)). [para(14(a,1),9304(a,1,2,2)),flip(a)]. 9307 T(T(x,K(y,z)),z * y) = T(x,T(z * y,z)). [para(9304(a,1),7995(a,1,1))]. 9308 T(x * y,K(x,x * z)) = x * T(y,K(x,z)). [hyper(236,a,7161,a(flip),b,9305,a)]. 9309 T(x,K(y,y * T(x,z))) = x. [hyper(236,a,6441,a(flip),b,9305,a)]. 9310 T(x,K(y,y \ z)) = T(x,K(y,z)). [para(14(a,1),9305(a,1,2,2)),flip(a)]. 9311 T(x,K(y,z / y)) = T(x,K(y,z)). [para(6606(a,1),9305(a,1,2)),flip(a)]. 9312 T(K(x,x * T(y,z)),y) = K(x,x * T(y,z)). [hyper(35,a,9309,a)]. 9313 T(x,K(y \ z,y)) = T(x,K(z,y)). [hyper(236,a,7981,a,b,9306,a)]. 9314 T(x,K(y \ z,y)) != u | T(x,K(z,y)) = u. [para(9306(a,2),8002(a,1))]. 9315 T(x,K(y,y \ z)) = T(x,K(z,y)). [hyper(236,a,7981,a,b,9310,a)]. 9317 T(x,K(y,z / y)) = T(x,K(y,y * z)). [hyper(236,a,9305,a,b,9311,a)]. 9318 T(x,K(y,z)) != u | T(x,K(z,z \ y)) = u. [para(9313(a,1),8002(a,1))]. 9319 T(x,K(y,y \ z)) != u | T(x,K(y,z)) = u. [para(9315(a,2),8002(a,1))]. 9320 T(x,K(y \ z,z)) = T(x,K(z,y)). [hyper(236,a,9310,a(flip),b,9294,a)]. 9321 T(x,K(y,z \ y)) = T(x,K(y,z)). [hyper(236,a,9306,a(flip),b,9294,a(flip))]. 9322 T(x,K(y,z \ u)) != w | T(x,K(y,u \ z)) = w. [para(9294(a,1),8002(a,1))]. 9324 T(x,K(y,y / z)) = T(x,K(z,y)). [para(65(a,1),9320(a,1,2,1)),flip(a)]. 9325 T(T(T(x,y \ x) / y,K(x,y \ x)),x) = x / y. [para(9321(a,2),7184(a,1,1))]. 9326 T(x,K(y,z \ y)) != u | T(x,K(z,y)) = u. [para(9321(a,2),8002(a,1))]. 9327 T(T(x,y / z),K(z,y)) = T(x,z \ y). [hyper(236,a,8329,a(flip),b,9324,a(flip))]. 9328 T(x,T(y,z \ 1)) = T(x,T(y,z)). [hyper(7185,a,9295,a),flip(a)]. 9329 T(x,T(y,z \ 1)) != u | T(x,T(y,z)) = u. [para(9295(a,1),7185(a,1))]. 9330 T(x,T(y,z \ 1)) = x * K(x,T(y,z)). [hyper(236,a,4887,a(flip),b,9328,a)]. 9331 T(x,K(y,x \ z)) = T(x,K(y,z)). [hyper(236,a,9279,a(flip),b,9297,a)]. 9332 T(x,K(y,z / x)) = T(x,K(y,z)). [hyper(236,a,7362,a,b,9331,a(flip)),flip(a)]. 9333 T(x,K(y,x * z)) = T(x,K(y,z)). [para(13(a,1),9331(a,1,2,2)),flip(a)]. 9334 T(x,K(y,z * x)) = T(x,K(y,z)). [para(15(a,1),9332(a,1,2,2)),flip(a)]. 9335 T(x,K(y,x * z)) = T(x,K(z,y)). [hyper(236,a,7981,a,b,9333,a)]. 9336 T(x,K(y,z * x)) = T(x,K(z,y)). [hyper(236,a,7981,a,b,9334,a)]. 9337 T(T(x,y),K(z,x * u)) = T(T(x,K(u,z)),y). [para(9335(a,1),38(a,1,1)),flip(a)]. 9338 T(T(x,K(y,z)),x * y) = T(x,T(x * y,z)). [para(9335(a,1),7995(a,1,1))]. 9339 T(x,K(y * x,z)) = T(x,K(y,z)). [hyper(8002,a,9336,a)]. 9340 T(1 / (x * K(y,z)),K(z,y)) = 1 / (K(y,z) * x). [para(7396(a,1),9300(a,1,2)),flip(a)]. 9341 T(x,K(y,z / T(y,u))) = T(x,K(y,y * z)). [para(7600(a,2),9317(a,1,2))]. 9342 T(T(x,K(y,z)),y / z) = T(x,z \ y). [hyper(236,a,7985,a,b,9327,a(flip)),flip(a)]. 9343 K(x,T(y,z \ 1)) = K(x,T(y,z)). [hyper(4954,a,9330,a)]. 9344 K(x * y,T(z,y)) = K(x * y,T(z,x)). [hyper(7842,a,9343,a),flip(a)]. 9345 K(x,T(y * z,z)) = K(x,T(y * z,y)). [hyper(7816,a,9343,a)]. 9346 K(x,T(y,z \ x)) = K(x,T(y,z)). [hyper(236,a,8474,a(flip),b,9343,a(flip)),flip(a)]. 9347 K(x,T(y,1 / z)) = K(x,T(y,z)). [para(65(a,1),9343(a,1,2,2)),flip(a)]. 9348 K(x,T(y,z \ u)) = K(x,T(y,u \ z)). [para(6361(a,1),9343(a,1,2))]. 9349 (x \ 1) * K(y,T(z,x)) = K(y,z) * (x \ 1). [para(9343(a,1),7281(a,1,2))]. 9350 K(x,T(y,z)) * (z \ 1) = (z \ 1) * K(x,y). [para(9343(a,1),8047(a,1,1))]. 9351 K(x,T(x \ y,z \ y)) = K(x,T(x \ y,z)). [hyper(236,a,7880,a,b,9346,a(flip)),flip(a)]. 9352 K(x,T(y,x / z)) = K(x,T(y,z)). [para(65(a,1),9346(a,1,2,2)),flip(a)]. 9353 (x \ y) * K(y,T(z,x)) = K(y,z) * (x \ y). [para(9346(a,1),7281(a,1,2))]. 9354 T(T(x,K(y,z)),y \ z) = T(x,z / y). [para(5845(a,1),9342(a,1,1)),flip(a)]. 9355 T(T(x,K(y,z)),z \ y) = T(x,y / z). [para(7983(a,1),9342(a,1,1)),flip(a)]. 9356 K(x * R(y,z,u),T(y,x)) = K(x * R(y,z,u),y). [para(625(a,1),9344(a,1,2)),flip(a)]. 9357 K(x,T(y,z \ x)) != u | K(x,T(y,z)) = u. [para(9348(a,1),7824(a,1))]. 9358 T(T(x,K(y,z \ u)),(((z \ 1) \ 1) \ u) \ y) = T(x,y / (((z \ 1) \ 1) \ u)). [para(5478(a,1),9355(a,1,1,2))]. 9359 K(x,K(y,z \ R(x,u,w))) = K(x,K(y,z)). [hyper(236,a,9258,a,b,9198,a(flip)),flip(a)]. 9360 K(x,K(y,z / y)) != u | K(x,K(y,z)) = u. [para(4994(a,2),9221(a,1,2))]. 9361 K(x,K(y,z / u)) != w | K(x,K(y,u / z)) = w. [para(5796(a,1),9272(a,1,2))]. 9362 K(x,K(y,z / (u * z))) != w | K(x,K(u,y)) = w. [para(5800(a,2),9275(a,1,2))]. 9364 T(x,K(y,z / y)) != u | T(x,K(y,z)) = u. [para(4994(a,2),9319(a,1,2))]. 9366 T(x,K(y,y / z)) != u | T(x,K(z,y)) = u. [para(5304(a,2),9326(a,1,2))]. 9368 K(x,T(y,z \ 1)) != u | K(x,T(y,z)) = u. [para(8474(a,2),9357(a,1))]. 9370 K(x,T(y * (z \ x),y)) != u | K(x,T(y * (z \ x),z)) = u. [para(9345(a,1),9357(a,1))]. 9371 K(x,K(y,R(x,z,u) / w)) = K(x,K(y,w)). [para(65(a,1),9359(a,1,2,2)),flip(a)]. 9372 K(x,K(a(y,z,u),y * (z * u))) != w | K(x,K(a(y,z,u),(y * z) * u)) = w. [para(135(a,1),9360(a,1,2,2))]. 9373 K(x,T(y,1 / z)) != u | K(x,T(y,z)) = u. [para(3019(a,2),9368(a,1,2))]. 9374 K(x,T(y,z / u)) != w | K(x,T(y,u / z)) = w. [para(4187(a,1),9368(a,1,2))]. 9375 K(x,T(y,z \ u)) != w | K(x,T(y,u \ z)) = w. [para(6361(a,1),9368(a,1,2))]. 9376 K(x,T(y,z \ (u \ z))) != w | K(x,T(y,T(u,z))) = w. [para(8609(a,1),9368(a,1,2))]. 9377 K(x,K(y,(y * z) * u)) = K(y,K(x,z * u)). [hyper(7921,a,9200,a)]. 9378 K(x,K(y,z * u)) * K(y,x) = K(y,T(x,(x * z) * u)). [para(9200(a,1),7954(a,1,1))]. 9379 K(x,K(y,z)) * K(x,y \ z) = K(x,z / y). [hyper(7559,a,9214,a)]. 9380 K(x,y \ z) * K(x,K(y,z)) = K(x,z / y). [para(9214(a,1),5288(a,1,2))]. 9381 K(x,K(y \ z,T(y,u))) != w | K(y,K(x,T(z,u))) = w. [para(9218(a,2),8015(a,1))]. 9382 K(x,K(y,z)) * K(y / x,z) = K(x \ y,z). [para(7923(a,1),9236(a,1,1))]. 9383 T(K(x,y),z \ 1) = T(K(x,y),z). [hyper(7904,a,9260,a),flip(a)]. 9384 T(K(x,y),z \ 1) != u | T(K(x,y),z) = u. [para(9260(a,1),7904(a,1))]. 9386 L(T(K(x,y),z),z \ 1,z) = z * (K(x,y) * (z \ 1)). [para(9383(a,1),502(a,1,1))]. 9387 T(x,K(y,z)) \ 1 = T(x \ 1,K(y,z)). [hyper(7970,a,9270,a)]. 9388 T(x,K(y,z)) \ y = T(x \ y,K(y,z)). [hyper(7970,a,9289,a)]. 9389 T((x / (x / y)) \ x,K(x,z)) = x / T(y,K(x,z)). [hyper(7801,a,9388,a),flip(a)]. 9390 x * T(x \ y,K(x,z)) = T(y,K(x,x * z)). [para(14(a,1),9308(a,1,1)),flip(a)]. 9391 K(x,T(T(x * T(y,z),u),y)) = T(K(x,x * T(y,z)),u). [para(9312(a,1),7447(a,2,1))]. 9392 T(T(x,y),K(z,x * y)) = T(x,T(y,z)). [hyper(236,a,7138,a(flip),b,9337,a)]. 9393 (K(x * y,z) * T(x,y)) \ T(x,T(y,z)) = K(z,x * y). [hyper(72,a,9392,a(flip),b,7395,a)]. 9394 T(T(x,K(y,z)),y * x) = T(x,T(x * y,z)). [hyper(4283,a,9338,a)]. 9395 K(x,y) * (z \ 1) != (z \ 1) * u | K(x,T(y,z)) = u. [para(9349(a,1),19(a,1))]. 9397 K(x,y \ z) * (y \ x) = (y \ x) * K(x,z / y). [para(8069(a,1),9353(a,1,2)),flip(a)]. 9398 K(x,K(y,z)) * K(x,z / y) = K(x,y \ z). [hyper(7968,a,9379,a)]. 9399 (K(x,y / z) * K(K(x,z \ y),u)) / T(K(x,z \ y),u) = R(K(x,K(z,y)),K(x,z \ y),K(K(x,z \ y),u)). [para(9379(a,1),4955(a,1,1,1))]. 9400 K(x,K(y,z)) * K(y,z \ x) = K(y,x / z). [para(7923(a,1),9379(a,1,1))]. 9401 K(x,K(y,z)) * K(x,z \ y) = K(x,y / z). [para(7937(a,1),9379(a,1,1))]. 9402 K(x,K(y,z)) * K(x,z / y) != u | K(x,y \ z) = u. [para(9379(a,1),7966(a,1,2)),flip(b)]. 9403 K(x,y \ z) * K(x,K(z,y)) = K(x,z / y). [para(7937(a,1),9380(a,1,2))]. 9404 K(x,K(y,z / (y / x))) * K(y / x,(y / x) \ z) = K(x \ y,z / (y / x)). [para(4994(a,1),9382(a,1,2))]. 9405 K(x,y) * T(z,T(z * x,y)) = T(z,x * z) * K(x,y). [para(9394(a,1),180(a,1,2))]. 9406 K(x,y \ z) * K(z / y,x) = K(x,K(y,z)). [hyper(7559,a,9398,a)]. 9407 K(x,y / z) * K(x,K(z,y)) = K(x,z \ y). [hyper(5870,a,9398,a)]. 9408 K(x,K(y * z,(y * u) * z)) * K(x,R(u * K(y,u),y,z)) = K(x,(y * z) \ ((y * u) * z)). [para(5032(a,2),9398(a,1,2,2))]. 9409 K(x,K(y,z)) * K(y,x / z) = K(y,z \ x). [para(7923(a,1),9398(a,1,1))]. 9410 K(x,K(y,z)) * K(x,y / z) = K(x,z \ y). [para(7937(a,1),9398(a,1,1))]. 9411 K(x,y / z) * K(x,K(y,z)) = K(x,z \ y). [para(7937(a,1),9407(a,1,2))]. 9412 K(x,y \ z) != u | K(x,z / y) * K(x,K(z,y)) = u. [para(9410(a,1),5870(a,1))]. 9413 K(x,K(y,z * R(x,u,w))) = K(x,K(y,z)). [hyper(9283,a,9371,a),flip(a)]. 9415 K(x,T(y,(x * z) * u)) != w | K(x,T(y,z * u)) = w. [para(113(a,1),9197(a,1,2,2))]. 9416 R(K(x,K(y,z)),u,w) = K(x,K(y,R(z,u,w))). [para(9242(a,1),9255(a,1,1))]. 9417 R(K(x,K(y,z)),u,w) = K(y,K(z,R(x,u,w))). [para(9247(a,1),9255(a,1,1))]. 9418 K(x,R(K(y,z),u,w)) = K(x,K(y,R(z,u,w))). [hyper(236,a,8895,a(flip),b,9416,a(flip)),flip(a)]. 9419 x * R(K(x,K(y,z)),u,w) = T(x,K(y,R(z,u,w))). [para(9416(a,2),4887(a,2,2)),flip(a)]. 9420 K(x,R(K(y,z),u,w)) = K(x,K(z,R(y,u,w))). [hyper(236,a,8894,a(flip),b,9417,a(flip)),flip(a)]. 9421 K(x,K(y,R(z,y,u))) = K(x,K(y,z)). [para(3968(a,1),9418(a,1,2)),flip(a)]. 9422 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = K(x,K(w,(y * v5) / (R(y,z,u) * v5))). [para(6862(a,1),9420(a,1,2)),flip(a)]. 9423 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y \ z,z)). [para(5562(a,1),9264(a,2,2))]. 9424 K(x,K(y,z \ x)) * K(x,z / x) = K(x,T(1 / (z \ x),y)). [para(5371(a,1),9278(a,1,2))]. 9425 T(T(x,y \ x) / y,T(x,y \ x)) = x / y. [hyper(7160,a,9325,a)]. 9426 T(x,y) * K(y * R(x,z,u),x) = R(x,y,R(x,z,u)). [para(9356(a,1),5068(a,1,2))]. 9427 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(9356(a,2),7930(a,2,1))]. 9428 x / T(y,K(x,z)) = T(x / y,K(x,z)). [para(65(a,1),9389(a,1,1)),flip(a)]. 9430 T(x,R(K(y,z),u,w)) = T(x,K(y,R(z,u,w))). [hyper(8897,a,9419,a)]. 9431 L(T(T(K(x,y),z),u),u \ 1,u) = T(u * (K(x,y) * (u \ 1)),z). [para(9386(a,1),123(a,2,1))]. 9432 K(x,y) * K(y * R(x,z,u),x) = x \ R(x,y,R(x,z,u)). [hyper(72,a,9426,a(flip),b,4856,a),flip(a)]. 9433 T(x,y) * (K(y * R(x,z,u),x) * w) = R(x,y,R(x,z,u)) * w. [para(9426(a,1),5589(a,1,1)),flip(a)]. 9434 K(x,T(y,(y * z) * u)) = K(x,T(y,z * u)). [hyper(8218,a,9378,a),flip(a)]. 9435 K(x,T(y,(y \ z) * u)) = K(x,T(y,z * u)). [para(14(a,1),9434(a,1,2,2,1)),flip(a)]. 9436 K(x \ y,T(x,y * z)) = K(x \ y,T(x,z)). [hyper(7827,a,9435,a),flip(a)]. 9437 K(x,T(T(x * T(y,z),u),y)) != w | K(x,T(x * T(y,z),u)) = w. [para(9391(a,2),7817(a,1))]. 9438 K(x,y) * T(z,T(x * z,y)) = T(z,x * z) * K(x,y). [para(4644(a,2),9405(a,1,2))]. 9439 K(x,T(y,L(x,z,u) * w)) = K(x,T(y,w)). [hyper(236,a,8947,a(flip),b,9154,a(flip)),flip(a)]. 9441 K(x,T(y,z * (u * x))) = K(x,T(y,z * u)). [hyper(236,a,8768,a(flip),b,9439,a(flip)),flip(a)]. 9443 K(x,T(y,z * (x * u))) = K(x,T(y,z * u)). [hyper(236,a,8519,a(flip),b,9441,a(flip)),flip(a)]. 9444 K(x,T(y,z * (u / x))) = K(x,T(y,z * u)). [para(16(a,1),9441(a,1,2,2,2)),flip(a)]. 9445 K(x,T(y,z * (x \ u))) = K(x,T(y,z * u)). [para(14(a,1),9443(a,1,2,2,2)),flip(a)]. 9446 K(1 / x,T(y,z * x)) = K(1 / x,T(y,z)). [para(64(a,1),9443(a,1,2,2)),flip(a)]. 9447 K(x,T((y * (x \ z)) \ u,y * z)) != w | K(x,u / (y * (x \ z))) = w. [para(9445(a,1),8187(a,1))]. 9448 K(1 / x,T(y,z * x)) = K(1 / T(x,z),y). [hyper(236,a,7267,a,b,9446,a)]. 9449 K(1 / T(x,y / x),z) = K(1 / x,T(z,y)). [para(16(a,1),9448(a,1,2,2)),flip(a)]. 9450 K(1 / (x / (x / y)),z) = K(1 / y,T(z,x)). [hyper(236,a,8259,a(flip),b,9449,a(flip)),flip(a)]. 9451 K(1 / (x \ y),T(z,y)) = K(1 / (y / x),z). [para(62(a,1),9450(a,1,1,2,2)),flip(a)]. 9453 K(1 / (x / y),T(z,x)) != u | K(1 / (y \ x),z) = u. [para(9451(a,1),8174(a,1))]. 9454 L(K(x,T(y \ z,u)),y \ z,w) = K(x,T((z \ y) \ 1,u)). [para(7256(a,2),9156(a,1,1))]. 9455 K(x,T((y \ 1) * (z * y),y)) = K(x,L(z,y,y \ 1)). [hyper(8057,a,9159,a)]. 9456 R(K((x / y) \ x,z),x,u) = K(R(y,x / y,u),z). [hyper(236,a,7345,a(flip),b,9181,a),flip(a)]. 9457 K(R(x,y / x,z),u) = R(K(x,u),y,z). [para(65(a,1),9456(a,1,1,1)),flip(a)]. 9458 R(K(x,y),z * x,u) = K(R(x,z,u),y). [para(15(a,1),9457(a,1,1,2)),flip(a)]. 9460 R(K(x,y),z * (K(u,y) * x),w) = K(R(K(u,y) * x,z,w),y). [para(7479(a,1),9458(a,1,1))]. 9461 (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(4661(a,2),9184(a,2,2))]. 9462 (x * (y * R(x,z,u))) \ ((y * R(x,z,u)) * T(x,y)) = x \ R(x,y,R(x,z,u)). [hyper(236,a,9030,a,b,9432,a(flip)),flip(a)]. 9463 x \ R(x,y,R(x,z,u)) != w | K(y * R(x,z,u),x) * K(x,y) = w. [para(9432(a,1),2193(a,1))]. 9464 K(x,T((y \ z) \ 1,u)) = K(x,T(z \ y,u)). [hyper(8338,a,9454,a),flip(a)]. 9465 K(x,T((y \ z) \ 1,u)) != w | K(x,T(z \ y,u)) = w. [para(9454(a,1),323(a,1)),flip(b)]. 9466 K(x,T(1 / (y \ z),u)) = K(x,T(z \ y,u)). [hyper(5447,a,9464,a)]. 9467 K(((x \ y) \ 1) \ z,T(y \ x,u)) != w | K(T((x \ y) \ 1,v5) \ z,T((x \ y) \ 1,u)) = w. [para(9464(a,1),8552(a,1))]. 9468 K(x,T(1 / (y \ x),z)) != u | K(x,T(y / x,z)) = u. [para(9466(a,2),5141(a,1))]. 9469 K(x,y \ ((z \ u) \ y)) != w | K(x,T(u \ z,y)) = w. [para(7525(a,1),9465(a,1))]. 9470 K(x,y) * (z * T(z \ (K(x,y) \ u),y)) = z * T(z \ u,y). [hyper(236,a,405,a(flip),b,7168,a)]. 9471 K(x,T((y \ 1) * ((z \ y) * z),u)) != w | K(z,K(x,T(y,u))) = w. [para(7296(a,2),9381(a,1))]. 9472 T(T(x * K(y,x),z),u) \ T(T(x,z),u) = K(x,T(T(y,u),z)). [hyper(236,a,7260,a(flip),b,7306,a)]. 9474 R(K(x,y),T(T(y,z),u),w) = K(x,y). [hyper(4699,a,7380,a)]. 9475 T(T(x,y),K(z,x)) * ((T(x,y) * K(z,x)) \ u) = K(z,x) \ u. [para(9474(a,1),741(a,1,1)),flip(a)]. 9476 L(x,T(y,z) \ u,T(y,u)) = L(x,y \ (K(z,y) * u),y). [para(5196(a,1),7408(a,1,2))]. 9477 L(x,T(y,z) \ u,T(y,u)) = L(x,T(y,z) \ u,y). [para(5196(a,1),9476(a,2,2))]. 9478 T(x,y) * ((T(x,y) \ y) * z) = y * L(z,T(x,y) \ y,x). [para(9477(a,1),433(a,1,2)),flip(a)]. 9479 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,T(x,y) \ y,x). [para(4117(a,1),9478(a,1,2,1))]. 9480 T(x,y) * ((x \ T(y,x)) * z) = y * L(z,x \ T(y,x),x). [para(4117(a,1),9479(a,2,2,2))]. 9481 (x * L(y,z \ T(x,z),z)) \ (x * y) = a(T(z,x),T(z,x) \ x,y). [para(9480(a,1),4146(a,1,1))]. 9482 K((((x * y) \ x) \ 1) * z,y) = K(z * (1 / ((x * y) \ x)),y). [hyper(5634,a,7492,a)]. 9483 K(T(x,y) \ z,T(x,u)) != w | K(x \ z,T(x,u)) = w. [para(7500(a,2),5755(a,1))]. 9484 K(((x \ y) \ y) \ z,T(x,u)) != w | K(x \ z,T(x,u)) = w. [para(120(a,1),9483(a,1,1,1))]. 9486 K(x,y) * (z * ((z * x) / z)) = T(z,x) * T(x,T(y,z)). [para(7918(a,1),7694(a,1,2)),flip(a)]. 9487 K(x,y) * (z * ((z * x) / z)) = z * T(x * K(z,x),y). [hyper(236,a,8640,a(flip),b,9486,a)]. 9488 (((x / y) * T(y,z)) * u) \ (x * u) = K(z,((x / y) * u) \ (x * u)). [para(65(a,1),7715(a,1,1,1,2,1))]. 9489 (x * K(y,z)) * (y \ 1) = x * ((y * K(z,y)) \ 1). [para(5003(a,1),7863(a,1,1,2))]. 9490 (x * K(y,z)) * (y \ 1) = x * (y \ K(y,z)). [para(5113(a,1),9489(a,2,2))]. 9491 (x * K(y,z)) * (y \ 1) = x * (K(y,z) * (y \ 1)). [para(5510(a,1),9489(a,2,2))]. 9494 (((x * y) * K(y,z)) * (y \ 1)) / K(y,z) = R(x,y,y \ K(y,z)). [hyper(74,a,9490,a,b,309,a)]. 9496 L(x \ 1,K(x,y),z) = x \ 1. [hyper(436,a,9491,a)]. 9497 (x * (y * K(z,y))) / (x * K(z,y)) = (x * y) / x. [para(5008(a,1),7871(a,1,2,2))]. 9499 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(636(a,1),7872(a,1,1,2,1)),flip(a)]. 9500 K(((x \ y) \ 1) * z,y \ x) = K((x \ y) \ z,y \ x). [hyper(236,a,6408,a(flip),b,7873,a)]. 9501 K(((x \ y) \ 1) * z,y \ x) = K(z / (x \ y),y \ x). [hyper(7374,a,9500,a(flip)),flip(a)]. 9502 K((((x * y) \ x) \ 1) * z,x \ (x * y)) = K(z / ((x * y) \ x),y). [para(13(a,1),9501(a,2,2))]. 9503 (x \ y) * K(x,T(x \ y,z)) = (y / x) * K(x,K(y,z)). [para(9206(a,1),8041(a,1,2)),flip(a)]. 9504 T(x,y) * ((z / x) * K(x,K(z,y))) = T(T(x,y),x \ z) * (x \ z). [para(9503(a,1),7324(a,1,2))]. 9505 (1 / (x \ y)) * K(y / x,z) = K(y / x,z) / (x \ y). [para(8068(a,1),8130(a,1,1)),flip(a)]. 9506 K(1 / x,y) / (x \ 1) != z | x * K(1 / x,y) = z. [para(9505(a,1),290(a,1))]. 9507 ((x / (x / y)) \ z) * K(y \ x,y) = T(y \ z,K(x,y)). [hyper(236,a,9315,a(flip),b,8199,a)]. 9509 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(8204(a,1),7520(a,1,2)),flip(a)]. 9510 T(x,T((y * z) \ z,u)) = T(x,T(z \ (y \ z),u)). [hyper(8226,a,8229,a),flip(a)]. 9511 K(x,R(y,z * K(y,u),w)) = K(x,R(y,z,w)). [hyper(8912,a,8233,a),flip(a)]. 9513 K(x,R(y,T(z,y),u)) = K(x,R(y,z,u)). [para(4836(a,1),9511(a,1,2,2)),flip(a)]. 9514 K(x,R(y,K(y,z) * u,w)) = K(x,R(y,u,w)). [para(7281(a,1),9511(a,1,2,2))]. 9515 R(K(x,y),z * y,u) = K(x,R(y,z,u)). [hyper(236,a,6825,a,b,9513,a(flip)),flip(a)]. 9516 R(K(x,y \ z),z,u) = K(x,R(y \ z,y,u)). [para(14(a,1),9515(a,1,2))]. 9517 R(K(x,y),z * (y * K(u,x)),w) = K(x,R(y * K(u,x),z,w)). [para(7459(a,1),9515(a,1,1))]. 9518 K(R(x,K(x,y) * z,u),w) = (v5 * K(w,R(x,z,u))) \ v5. [para(9514(a,1),7549(a,1,1,2)),flip(a)]. 9519 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,((y * z) * u) / (y * (z * u))). [para(3696(a,1),9516(a,2,2))]. 9520 K(R(x,K(x,y) * z,u),w) = K(R(x,z,u),w). [hyper(236,a,7647,a(flip),b,9518,a)]. 9521 K(R(x,K(x,y) * z,u),w) != v5 | K(R(x,z,u),w) = v5. [para(9518(a,2),7560(a,1))]. 9522 R(K(x,y),K(x,z) * u,w) = K(R(x,x \ u,w),y). [hyper(236,a,6680,a(flip),b,9520,a(flip)),flip(a)]. 9523 K(R(x,K(y,x) * z,u),w) = K(R(x,z,u),w). [para(5268(a,1),9520(a,1,1,2)),flip(a)]. 9525 R(K(x,y),K(x,z) * u,w) = R(K(x,y),u,w). [hyper(236,a,6676,a(flip),b,9522,a)]. 9526 R(K(x,y),z / x,u) = R(K(x,y),x \ z,u). [para(4927(a,1),9525(a,1,2))]. 9527 R(K(x,y),x \ y,z) * ((y / T(x,y)) * z) = (y / x) * z. [para(9526(a,1),6805(a,1,1))]. 9528 x * ((y / T(z,y)) * u) != (y / z) * u | R(K(z,y),z \ y,u) = x. [para(9527(a,1),20(a,1)),flip(a)]. 9529 (x / y) * (z / K(y,y \ x)) = (y \ x) * T(z,K(y,x)). [para(9310(a,1),8254(a,2,2))]. 9530 (x / y) * (z * K(y \ x,y)) = (y \ x) * T(z,K(y,x)). [para(7547(a,1),9529(a,1,2))]. 9531 (x / y) * (z * K(y \ x,y)) = (y \ x) * T(z,K(x,y)). [para(7981(a,1),9530(a,2,2))]. 9532 (x / y) * (z * K(y \ x,y)) != u | T((y \ x) * z,K(x,y)) = u. [para(8266(a,1),9314(a,1))]. 9533 K(L(x,y,z),R(z,u,w)) = K(x,R(z,u,w)). [hyper(236,a,5669,a(flip),b,8324,a)]. 9534 K((x \ 1) \ y,R(x,z,u)) = K(x * y,R(x,z,u)). [para(451(a,1),9533(a,1,1)),flip(a)]. 9535 K((x \ 1) * y,R(x \ 1,z,u)) = K(x \ y,R(x \ 1,z,u)). [hyper(6070,a,9534,a),flip(a)]. 9537 K(1 / x,y) \ K(K(1 / x,y),z) != u | K(y,1 / T(x,z)) = u. [para(8435(a,2),5116(a,1))]. 9538 T(x,y / z) * K(z \ y,z) = (y / z) \ (x * (z \ y)). [hyper(236,a,5759,a(flip),b,8438,a)]. 9539 x \ ((y / z) \ (x * (z \ y))) = K(x,y / z) * K(z \ y,z). [hyper(72,a,9538,a(flip),b,4856,a)]. 9540 T(T(x,y) \ ((z * (1 / T(x,y))) \ z),x) = T(x,y) \ L(T(x,y),T(x,y) \ 1,z). [para(2767(a,1),8461(a,1,1,2))]. 9541 K(x,y) * T(z / T(x,u),T(x,u)) = T(x,u) \ (K(x,y) * z). [hyper(236,a,9105,a(flip),b,8570,a(flip)),flip(a)]. 9542 K(x,y / z) * K(z \ y,z) = z \ (y / T(y / z,x)). [hyper(236,a,7625,a(flip),b,8575,a(flip))]. 9543 R(x,(y / z) \ 1,y / z) = R(x,(z \ y) \ 1,z \ y). [para(121(a,1),8599(a,1,3)),flip(a)]. 9544 x \ R(x,(y \ z) \ 1,y \ z) = a(x,(z / y) \ 1,z / y). [hyper(72,a,9543,a(flip),b,3627,a)]. 9545 (x * K(y,z)) * ((u * y) / u) = x * (T(y,z) * K(u,y)). [para(6194(a,1),8613(a,1,1))]. 9546 (x * K(y,z)) * (y * K(u,y)) = x * (T(y,z) * K(u,y)). [hyper(5074,a,9545,a)]. 9547 T(K(x,y),T(z,u * x)) = T(K(x,y),T(z,x * u)). [hyper(8541,a,8631,a),flip(a)]. 9548 T(K(x,y \ (z * x)),T(y,x * z)) = T(K(x,y \ (z * x)),y). [hyper(8424,a,9547,a),flip(a)]. 9549 (x \ ((y \ (x * z)) * y)) * u = (z * K((x \ 1) \ (y \ z),y)) * u. [para(4785(a,1),8667(a,2,1)),flip(a)]. 9550 T(T(x,1 / (y / z)),K(y,z)) = T(x,1 / T(y / z,y)). [hyper(9364,a,8798,a)]. 9551 T(T(x,1 / (y / z)),K(z,z / y)) = T(x,1 / (z \ y)). [para(121(a,1),8798(a,2,2,2))]. 9552 T(T(x,1 / (y / z)),K(y,z)) = T(x,1 / (z \ y)). [hyper(9366,a,9551,a)]. 9553 T(x,1 / T(y / z,y)) = T(x,1 / (z \ y)). [hyper(236,a,9550,a(flip),b,9552,a(flip)),flip(a)]. 9554 T(x,T(1 / (y / z),y)) = T(x,1 / (z \ y)). [hyper(8797,a,9553,a)]. 9555 T(x,1 / ((y \ z) \ z)) = T(x,T(1 / y,z)). [para(62(a,1),9554(a,1,2,1,2)),flip(a)]. 9556 T(x,T(1 / (y \ z),z)) = T(x,1 / (z / y)). [hyper(236,a,8494,a(flip),b,9555,a(flip))]. 9557 T(x,K(y,z / y) / (z \ y)) = T(x,1 / (y / z)). [hyper(236,a,8462,a,b,9556,a(flip)),flip(a)]. 9558 (K(x,y) * K(x,K(z,u \ 1))) / u = T(K(x,y) / u,K(z,x)). [para(7919(a,1),8828(a,1,1,2))]. 9559 K(x,K(y,z \ (u * y))) = K(x,K(y,z \ u)). [hyper(17,a,8875,a,b,8847,a)]. 9561 K(x,K(y,z \ (u * y))) = K(y,K(x,z \ u)). [hyper(236,a,7919,a,b,9559,a)]. 9562 K(x,K(y,R(z,u,w) * (z \ y))) = K(x,K(y,z \ R(z,u,w))). [para(1491(a,1),9559(a,1,2,2))]. 9563 K(x,K(y,z \ (u * x))) = K(x,K(y,z \ u)). [hyper(7921,a,9561,a)]. 9564 K(x,K(y,z \ (u * x))) = K(x,K(y,u \ z)). [hyper(236,a,9258,a,b,9563,a)]. 9565 T(K(x,y),(z \ (u * x)) \ 1) = K(x,y) * K(x,K(y,z \ u)). [para(9563(a,1),9260(a,1,2)),flip(a)]. 9566 K(x,K(y,(z * x) \ u)) = K(x,K(y,z \ u)). [hyper(9287,a,9564,a)]. 9567 K(x,K(y,(z / x) \ u)) = K(x,K(y,z \ u)). [para(16(a,1),9566(a,1,2,2,1)),flip(a)]. 9568 K(x,K(y,(x \ z) \ u)) = K(x,K(y,z \ u)). [hyper(236,a,8216,a(flip),b,9567,a(flip)),flip(a)]. 9569 K(x,y) * K(x,K(y,z \ u)) = K(x,T(y,(x \ z) \ u)). [para(9568(a,1),7883(a,1,2))]. 9570 K(x,T(y,(x \ z) \ u)) != w | K(x,T(y,z \ u)) = w. [para(9569(a,1),7888(a,1))]. 9571 K(x,T(y,z \ (x * u))) = K(x,T(y,z \ u)). [hyper(9570,a,8426,a),flip(a)]. 9573 K(x,T(y,z \ (u * x))) = K(x,T(y,z \ u)). [hyper(236,a,8983,a,b,9571,a(flip)),flip(a)]. 9574 K(x,T(y,z \ (x \ u))) = K(x,T(y,z \ u)). [para(14(a,1),9571(a,1,2,2,2)),flip(a)]. 9575 K(x \ y,T(z,u \ y)) = K(x \ y,T(z,u \ x)). [para(14(a,1),9573(a,1,2,2,2))]. 9576 K(x \ y,T(z,u \ y)) = K(x \ y,T(z,x \ u)). [hyper(236,a,9348,a,b,9575,a)]. 9577 K(x \ 1,T(y,x \ z)) = K(x \ 1,T(y,z)). [hyper(9368,a,9576,a),flip(a)]. 9578 (((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(8865(a,1),5563(a,1,2,1))]. 9579 K(x * K(y,x),z / (u * K(y,x))) = K(x,T(z / u,y)). [hyper(236,a,8085,a(flip),b,8930,a)]. 9580 K(x,T(y / (z * K(u,x)),u)) = K(x,T(y / z,u)). [hyper(8428,a,9579,a)]. 9581 T(x,R(y / (y / z),u,w)) = x * K(T(x,y),R(z,u,w)). [para(8998(a,1),8933(a,2,2))]. 9582 T(x,R((y * z) / y,u,w)) = T(x,R(y / (y / z),u,w)). [hyper(236,a,8240,a,b,9581,a),flip(a)]. 9583 T(x,R(y / (y / z),u,w)) = T(x,R(T(z,y),u,w)). [hyper(236,a,8647,a(flip),b,9582,a(flip))]. 9584 T(x,R(T(y,y \ z),u,w)) = T(x,R(T(y,z),u,w)). [hyper(236,a,8723,a,b,9583,a(flip)),flip(a)]. 9585 T(x,R((y \ z) \ z,u,w)) = T(x,R(T(y,z),u,w)). [para(120(a,1),9584(a,1,2,1))]. 9586 ((x * y) * z) \ ((y * x) * z) = K(y,R(T(x,z),y,z)). [hyper(236,a,8773,a(flip),b,8992,a(flip))]. 9587 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(8993(a,1),9585(a,1,2,1,1))]. 9588 T(x,K(R(y,z,u) \ 1,w)) = R(K(x,K(y,w)),z,u) * x. [para(9238(a,1),9004(a,1,1,1)),flip(a)]. 9589 T(x,K(R(y,z,u) \ 1,w)) = K(x,R(K(y,w),z,u)) * x. [para(8895(a,1),9588(a,2,1))]. 9590 T(x,K(R(y,z,u) \ 1,w)) = T(x,R(K(y,w),z,u)). [hyper(236,a,4897,a,b,9589,a)]. 9591 T(x,R(K(y,z),u,w)) = T(x,K(z,R(y,u,w))). [hyper(9299,a,9590,a),flip(a)]. 9592 T(x,K(y,R(z,u,w))) = T(x,K(z,R(y,u,w))). [hyper(236,a,9430,a(flip),b,9591,a(flip))]. 9593 T(x,K(y \ z,R(u,y,y \ 1))) = T(x,K(u,T(z * (y \ 1),y))). [para(634(a,1),9592(a,1,2,2)),flip(a)]. 9594 T(K(x,y) * z,K(x,R(u,w,v5))) = K(x,y) * T(z,K(u,R(x,w,v5))). [para(9592(a,1),8935(a,2,2))]. 9595 R(x,y,z) * a(u,R(x,y,z),u) = R(x * a(u,x,u),y,z). [para(9047(a,1),9064(a,1,1)),flip(a)]. 9596 R(x * a(y,x,y),z,u) != R(x,z,u) * w | a(y,R(x,z,u),y) = w. [para(9595(a,1),19(a,1))]. 9602 T(K(x,y) * z,x * y) = K(x,y) * T(z,x * y). [para(4996(a,1),9107(a,1,1,1))]. 9603 T(x * K(y,z),z * y) = T(x,z * y) * K(y,z). [hyper(6141,a,9602,a),flip(a)]. 9604 (x * (y * z)) * L(K(z,y),T(x,y * z),y * z) = (y * z) * T(x * K(z,y),y * z). [para(9603(a,2),445(a,2,2))]. 9605 K(K(x,y) * z,T((K(x,y) * z) \ z,u)) = ((u * (K(x,y) * z)) / u) / ((u * (z / K(y,x))) / u). [para(5266(a,1),9128(a,1,2,1,2,2)),flip(a)]. 9606 ((x \ 1) * y) * K(x,z) = (x \ 1) * (y * K(x,z)). [hyper(220,a,9133,a)]. 9607 L(K(x,y),z,x \ 1) = K(x,y). [hyper(7030,a,9606,a)]. 9609 ((x \ 1) * (y * K(x,z))) \ ((x \ 1) * y) = K(z,x). [para(9606(a,1),7549(a,1,1))]. 9610 L(K(x \ 1,y),z,x) = K(x \ 1,y). [hyper(236,a,3615,a(flip),b,9607,a(flip)),flip(a)]. 9611 K(L(x,y,x) \ 1,z) = K(x \ 1,z). [hyper(6082,a,9610,a)]. 9612 (x * y) * K(x \ 1,z) = x * (y * K(x \ 1,z)). [para(9610(a,1),103(a,1,2))]. 9613 K(R(x,y,x) \ 1,z) = K(x \ 1,z). [para(4430(a,1),9611(a,1,1,1)),flip(a)]. 9614 R(K(x,y),z,x \ 1) = K((x \ 1) \ 1,y). [hyper(236,a,5903,a(flip),b,9613,a(flip)),flip(a)]. 9615 R(K(x,y),z,x \ 1) = K(x,y). [hyper(236,a,3247,a(flip),b,9614,a)]. 9616 K(x,R(y,z,x \ 1)) = K(x,y). [hyper(8920,a,9615,a)]. 9617 (K(x,y) * z) * (x \ 1) = K(x,y) * (z * (x \ 1)). [para(9615(a,1),113(a,1,1)),flip(a)]. 9619 R(x * K(y,x),z,y \ 1) = R(x,z,y \ 1) * K(y,x). [para(9616(a,1),5658(a,1,2)),flip(a)]. 9620 L(K(x,y),z,y \ 1) = K(x,y). [hyper(8808,a,9609,a)]. 9621 K(L(x,y,z \ 1),z) = K(x,z). [hyper(9006,a,9620,a)]. 9625 K(x,L(y,z,y \ 1)) = K(x,y). [hyper(236,a,9108,a(flip),b,9620,a(flip)),flip(a)]. 9626 K(((x \ 1) * y) \ (z * (x \ 1)),x) = K(y \ T(z,x \ 1),x). [hyper(236,a,6571,a(flip),b,9620,a(flip)),flip(a)]. 9627 K(((x \ 1) * y) \ z,T(x,y)) = K(((x \ 1) \ z) / y,x). [hyper(8427,a,9621,a)]. 9628 R(x,y,K(x \ 1,z)) = x. [hyper(7075,a,9612,a)]. 9629 x \ (y * K(x \ 1,z)) = (x \ y) * K(x \ 1,z). [hyper(587,a,9612,a)]. 9631 R(T(x,y),z,K(x \ 1,u)) = T(x,y). [para(9628(a,1),42(a,2,1))]. 9632 T(x,y * K(x \ 1,z)) = T(x,y). [hyper(236,a,5990,a(flip),b,9631,a(flip))]. 9635 K(x,y * K(x \ 1,z)) = x \ T(x,y). [hyper(72,a,9632,a(flip),b,4887,a(flip)),flip(a)]. 9636 T(x,K(x \ 1,y) * z) = T(x,z). [para(7281(a,1),9632(a,1,2))]. 9638 T(x,K(1 / x,y) * z) = T(x,z). [para(3244(a,2),9636(a,1,2,1))]. 9639 T(x \ 1,K(x,y) * z) = T(x \ 1,z). [para(3247(a,1),9636(a,1,2,1))]. 9640 T(x,K(y,1 / x) * z) = T(x,z). [para(5268(a,1),9638(a,1,2)),flip(a)]. 9641 K(K(x,1 / y) * z,y) = y / T(y,z). [para(9640(a,1),4826(a,2,2))]. 9642 K(x,y * K(x \ 1,z)) = K(x,y). [hyper(236,a,4829,a,b,9635,a)]. 9643 K(x,y * K(z,x \ 1)) = K(x,y). [para(7540(a,1),9642(a,1,2)),flip(a)]. 9644 K(x \ y,z * K(u,y \ x)) = K(x \ y,z). [para(6408(a,1),9643(a,1,2,2))]. 9645 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * (T(K(x,y),z) * T(x \ 1,z)). [para(9639(a,1),859(a,1,2,2)),flip(a)]. 9646 K(K(x,1 / y) * z,y) = K(z,y). [hyper(236,a,4826,a,b,9641,a)]. 9647 K(K(x,y) * z,y \ 1) = K(z,y \ 1). [para(62(a,1),9646(a,1,1,1,2))]. 9648 K(K(x,y \ 1) * z,y) = K(z,y). [para(5223(a,1),9646(a,1,1,1))]. 9649 K(T(x,1 / y) / z,y) = K(x / z,y). [para(5696(a,1),9646(a,1,1))]. 9651 K(K(x,x \ y) * z,x / y) = K(z,x / y). [para(5326(a,1),9648(a,1,1,1))]. 9652 K(x \ T(y,z \ 1),z) = K(x \ y,z). [para(5697(a,1),9648(a,1,1))]. 9653 K(x * K(y,z \ 1),z) = K(x,z). [para(7337(a,1),9648(a,1,1))]. 9654 K(x * K(y,z),z \ 1) = K(x,z \ 1). [para(3386(a,1),9653(a,1,1,2))]. 9655 K(x * K(y,z \ u),u \ z) = K(x,u \ z). [para(6408(a,1),9653(a,1,1,2))]. 9656 K(T(x / (1 / (1 / y)),1 / z) / (1 / y),z) = K((x / y) / (y \ 1),z). [para(2883(a,1),9649(a,2,1))]. 9657 K(x \ y,z * (x / y)) = K(x \ y,z * (y \ x)). [para(7544(a,1),9644(a,1,2))]. 9658 K((x / y) * z,y / x) = K((y \ x) * z,y / x). [para(5568(a,1),9651(a,1,1))]. 9659 K((x / y) \ z,y / x) = K((y \ x) \ z,y / x). [para(5757(a,1),9651(a,1,1)),flip(a)]. 9660 K(x * (y / z),y \ z) = K(x * (z \ y),y \ z). [para(7544(a,1),9655(a,1,1))]. 9661 L(x \ 1,y,K(x,z)) = x \ 1. [hyper(7030,a,9617,a)]. 9662 (x \ 1) * T(K(x,y) * z,x \ 1) = K(x,y) * (z * (x \ 1)). [hyper(222,a,9617,a)]. 9663 T(K(x,y) * z,x \ 1) = K(x,y) * T(z,x \ 1). [hyper(168,a,9617,a,b,6122,a)]. 9664 (K(x,y) * (z * x)) \ (K(x,y) * z) = L(x \ 1,x,z). [para(9661(a,1),850(a,1,1)),flip(a)]. 9668 (1 / (x \ y)) * (z / (1 / (x \ y))) = z * K(y \ x,z * (y / x)). [para(9657(a,2),6305(a,2,2))]. 9669 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = z * K(z * (y / x),y \ x). [para(9660(a,2),6431(a,2,2))]. 9670 T(K(x,y) * L(z,u,w),x \ 1) = K(x,y) * L(T(z,x \ 1),u,w). [para(40(a,2),9663(a,2,2))]. 9671 R(x * K(y,x),z,y \ 1) = K(y,x) * R(x,z,y \ 1). [hyper(236,a,3147,a(flip),b,9619,a)]. 9672 x \ R(x * K(y,x),z,y \ 1) = K(y,x) * (x \ R(x,z,y \ 1)). [hyper(72,a,9671,a,b,5367,a)]. 9673 K(x,T(x \ y,z)) * (K(y,z) * x) = T(x,x \ y) * K(y,z). [hyper(236,a,6717,a(flip),b,9220,a(flip))]. 9674 K(x,(1 / y) * ((z \ ((1 / y) \ 1)) * z)) = K(x,K(y,z)). [hyper(236,a,9230,a(flip),b,9423,a)]. 9675 K(x,(1 / y) * ((z \ y) * z)) = K(x,K(y,z)). [para(65(a,1),9674(a,1,2,2,1,2))]. 9676 K(x,(y \ 1) * ((z \ y) * z)) = K(x,K(y,z)). [hyper(236,a,5477,a(flip),b,9675,a(flip)),flip(a)]. 9677 K(x,K(y,z)) * K(y,x / y) = K(y,T(1 / (x \ y),z)). [para(9288(a,1),9424(a,1,1))]. 9678 K(x,K(y,z)) * K(y,x / y) != u | K(y,T(x / y,z)) = u. [para(9677(a,2),9468(a,1))]. 9679 K(x,T(T(T(x,y) * z,u),w)) = T(T(x * K(z * T(x,v5),x),w),u) \ T(T(x,w),u). [para(7664(a,1),9472(a,1,1,1,1,2)),flip(a)]. 9680 T(T(x,y),K(z,x)) * ((T(x,y) * K(z,x)) \ u) = K(x,z) * u. [hyper(236,a,5260,a(flip),b,9475,a)]. 9681 K((((x * y) \ x) \ 1) * z,y) = K(z * (((x * y) \ x) \ 1),y). [hyper(236,a,5428,a(flip),b,9482,a)]. 9683 K((x / y) \ z,R((x / y) \ 1,x / y,y)) = K(((x / y) \ 1) * z,T(y / x,x / y)). [para(633(a,1),9535(a,1,2)),flip(a)]. 9684 x \ ((y / z) \ (x * (z \ y))) = z \ (y / T(y / z,x)). [hyper(236,a,9542,a(flip),b,9539,a)]. 9685 T(x,y) \ (K(x,z) * u) = K(x,z) * (T(x,y) \ u). [para(121(a,1),9541(a,1,2)),flip(a)]. 9686 a(x,(y / z) \ 1,y / z) = a(x,(z \ y) \ 1,z \ y). [hyper(3631,a,9544,a),flip(a)]. 9687 T(K(x,y \ (z * x)),T(y,z)) = T(K(x,y \ (z * x)),y). [hyper(236,a,8901,a(flip),b,9548,a(flip)),flip(a)]. 9688 K(x,T(y \ (z * x),T(y,z))) = T(K(x,y \ (z * x)),y). [hyper(7817,a,9687,a)]. 9690 (K(x,y) * K(x,K(z,u))) / u = T(K(x,y) / u,K(z,x)). [para(9242(a,1),9558(a,1,1,2))]. 9691 K(x,y) / T(z,K(x,u)) = T(K(x,y) / z,K(u,x)). [hyper(236,a,7914,a(flip),b,9690,a(flip)),flip(a)]. 9692 K(x,y) / T(z,K(x,u)) = T(K(x,y) / z,K(x,u)). [hyper(236,a,7981,a,b,9691,a)]. 9693 K(x,K(y,R(z,u,w) * (z \ y))) != v5 | K(x,K(y,R(z,u,w) \ z)) = v5. [para(9562(a,2),9287(a,1))]. 9694 T(K(x,y),(z \ (u * x)) \ 1) = T(K(x,y),z \ u). [hyper(236,a,7881,a(flip),b,9565,a)]. 9695 T(K(x,y),z \ (u * x)) = T(K(x,y),z \ u). [hyper(9384,a,9694,a)]. 9696 T(K(x,y),z \ (u / x)) = T(K(x,y),z \ u). [para(16(a,1),9695(a,1,2,2)),flip(a)]. 9697 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(9696(a,1),4888(a,1,2,1))]. 9698 K(((x \ 1) * y) \ (x \ z),x) = K(y \ T(z,x \ 1),x). [hyper(236,a,9186,a(flip),b,9626,a(flip)),flip(a)]. 9699 K(((x \ 1) * y) \ (x \ z),x) = K(y \ z,x). [hyper(236,a,9652,a(flip),b,9698,a)]. 9700 K(((x \ 1) * y) \ z,x) = K(y \ (z * x),x). [hyper(7833,a,9699,a)]. 9701 K(L(x,y,y \ 1) \ z,y) = K((x * y) \ (z * y),y). [hyper(236,a,8733,a(flip),b,9700,a(flip)),flip(a)]. 9702 K(L(x,y,y \ 1) \ z,y) = K(x \ z,y). [hyper(236,a,8530,a(flip),b,9701,a)]. 9703 T(x,y) \ T(x * K(z \ u,x),y) = K(L(z,x,x \ 1) \ u,T(x,y)). [para(9702(a,1),5754(a,1,2,1,2))]. 9704 T(T(x,K(y,x)),z * x) * ((T(x,x * z) * K(y,x)) \ u) = K(x,y) * u. [para(4261(a,1),9680(a,1,1))]. 9705 R(K(x,T((y / z) \ x,u)),x,z) = K(x,T((y / (x * z)) \ 1,u)). [para(7256(a,2),7261(a,1,1))]. 9706 K(R(T(x,y),x \ z,z \ y),u) = K(((x \ z) * (z \ y)) \ y,u). [para(42(a,2),7334(a,1,1))]. 9707 K(L(x,y,z),T(u,x \ w)) = K(L(x,y,z),T(u,w)). [hyper(5130,a,7531,a),flip(a)]. 9708 K(L((x \ y) \ y,z,u),w) = K(L(x,z,u),T(w,y)). [hyper(236,a,7318,a,b,9707,a(flip)),flip(a)]. 9709 T(x,L((y \ z) \ z,u,w)) = (v5 * K(L(y,u,w),T(x,z))) \ (v5 * x). [para(9708(a,1),7636(a,1,1,2)),flip(a)]. 9710 (x * K(y,z)) * (K(z,y) * K(u,y)) = x * K(u,y). [para(9085(a,1),7562(a,1,2)),flip(a)]. 9711 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = (K(z,x) * K(y,x)) \ 1. [hyper(394,a,5101,a(flip),b,9710,a)]. 9712 (x * K(y,z)) * (K(u,y) * K(z,y)) = x * K(u,y). [para(5852(a,1),9710(a,1,2))]. 9713 (K(x,y) * K(x,z)) \ 1 = K(y,x) * K(z,x). [hyper(72,a,5101,a(flip),b,9712,a)]. 9714 K(R(x,y,z),u * K(x,w)) = K(R(x,y,z),u). [hyper(236,a,5671,a(flip),b,7605,a)]. 9715 K(R(x,y,z),u * K(w,x)) = K(R(x,y,z),u). [para(7540(a,1),9714(a,1,2)),flip(a)]. 9716 ((x * y) * T(z,y)) / (y * T(z,y)) = R(x,y * K(z,y),z). [para(6188(a,1),7876(a,1,2))]. 9717 R(x,y * K(z,y),z) = R(x,y,T(z,y)). [hyper(475,a,9716,a),flip(a)]. 9718 R(x,y \ z,T(y,y \ z)) = R(x,z / y,y). [para(4903(a,1),9717(a,1,2)),flip(a)]. 9719 a(x,y * K(z,y),z) != u | a(x,y,T(z,y)) = u. [para(7878(a,1),679(a,1))]. 9720 K(x,K(y,(z * u) \ ((z * x) * u))) = 1. [para(8080(a,1),8023(a,1,2))]. 9721 R(K(x,T(T(y,z),z * u)),z,u) = (z * u) \ ((z * K(x,y)) * u). [para(7256(a,2),8108(a,1,1))]. 9722 K(L(x,y,z),T(T(u,z * y),y)) = K((z * (x * y)) / (z * y),u). [hyper(7825,a,8128,a)]. 9723 K(x \ y,T(z,y)) = K((K(z,u) * y) / x,z). [hyper(8397,a,8699,a),flip(a)]. 9724 K((K(x,y) * z) / u,x) = K(z / u,x). [hyper(8171,a,9723,a),flip(a)]. 9725 K(x,(K(x,y) * z) / u) = (w * K(z / u,x)) \ w. [para(9724(a,1),7549(a,1,1,2)),flip(a)]. 9726 K(x,(K(x,y) * z) / u) = K(x,z / u). [hyper(236,a,7647,a(flip),b,9725,a)]. 9727 K(x,(y * x) / z) = K(x,(x * y) / z). [para(4817(a,1),9726(a,1,2,1)),flip(a)]. 9728 K(x,(y * K(z,x)) / u) = K(x,y / u). [para(8093(a,1),9726(a,1,2,1)),flip(a)]. 9729 K(x,(y * T(x,z)) / u) = K(x,(y * x) / u). [para(8156(a,1),9726(a,1,2,1))]. 9730 K(x,(y * x) / z) = K(x,(z / y) \ x). [hyper(236,a,6834,a(flip),b,9727,a)]. 9731 K(x,(y * x) / z) != u | K(x,(z / y) \ x) = u. [para(9727(a,2),6836(a,1))]. 9732 K(x,K(y,(z * K(u,y)) / w)) = K(x,K(y,1 / (z / w))). [para(9728(a,2),9256(a,2,2)),flip(a)]. 9733 T(K(x,y \ (z * x)),y) = K(x,(y / z) \ x). [hyper(236,a,8056,a,b,9730,a(flip)),flip(a)]. 9734 K(x,y / (x \ z)) = K(x,(z / y) \ x). [hyper(236,a,7682,a(flip),b,9730,a(flip)),flip(a)]. 9735 K(x,y / (x \ z)) * u = K(x,(z / y) \ x) * u. [hyper(22,a,9734,a)]. 9736 K(x,T(y \ (x * z),z)) = K(x,(y / z) \ x). [hyper(236,a,8655,a,b,9734,a(flip)),flip(a)]. 9737 K(x,(y * T(x,z)) / u) = K(x,y / (x \ u)). [hyper(236,a,7682,a(flip),b,9729,a)]. 9738 K(x,T(y \ (z * x),T(y,z))) = K(x,(y / z) \ x). [hyper(236,a,9688,a,b,9733,a(flip)),flip(a)]. 9739 K(x,T(y \ (x * z),z)) * u = u * K(x,T((y / z) \ x,u)). [para(9736(a,2),7281(a,2,1)),flip(a)]. 9740 K(x,(x \ y) / (x \ z)) = K(x,y / z). [para(165(a,1),9737(a,1,2,1)),flip(a)]. 9741 K(x,(x \ y) / (z / x)) = K(x,y / z). [hyper(8180,a,9740,a)]. 9742 K(x,(x \ y) / z) = K(x,y / (z * x)). [para(15(a,1),9741(a,1,2,2))]. 9744 K(x,T(y \ (z * x),z)) != u | K(x,(y / z) \ x) = u. [para(8468(a,2),9731(a,1))]. 9745 T(x,y / (x \ z)) = T(x,(z / y) \ x). [hyper(5567,a,9735,a)]. 9746 T(x,(y * x) / z) = T(x,(z / y) \ x). [hyper(236,a,7681,a,b,9745,a(flip)),flip(a)]. 9747 K(x,T(y \ (R(y,z,u) * x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [hyper(236,a,6861,a(flip),b,9738,a)]. 9748 K(x,T((y \ z) \ x,y)) = K(x,(z / y) \ x). [hyper(9744,a,9187,a(flip)),flip(a)]. 9749 K(x,T((y \ z) \ x,y)) != u | K(x,(z / y) \ x) = u. [para(9187(a,2),9744(a,1))]. 9750 K(x,((y * z) / y) \ x) = K(x,T(z \ x,y)). [para(13(a,1),9748(a,1,2,1,1)),flip(a)]. 9751 K(x,T((y / (z * y)) \ x,z)) = K(x,R(1 / (1 / (1 / z)),z,y) \ x). [para(4220(a,2),9750(a,1,2,1)),flip(a)]. 9752 K(x,K(y,(z * K(u,y)) / w)) = K(x,K(y,z / w)). [hyper(236,a,9256,a(flip),b,9732,a)]. 9753 K(x,K(y,K(z,y) / u)) = K(x,K(y,1 / u)). [para(11(a,1),9752(a,1,2,2,1))]. 9754 (K(x,y) / z) * K(u,K(y,1 / z)) = T(K(x,y) / z,K(u,y)). [para(9753(a,1),7933(a,1,2))]. 9755 T(K(x,y) / z,K(x,y)) = T(K(x,y),1 / z) / z. [hyper(236,a,7911,a(flip),b,9754,a(flip))]. 9756 T(K(x,y) / z,K(x,y)) = K(x,T(y,1 / z)) / z. [para(7256(a,2),9755(a,2,1))]. 9757 T(K(x,y) / z,K(x,y)) = K(x,T(y,z)) / z. [para(9347(a,1),9756(a,2,1))]. 9758 T(K(x,y) / z,K(x,y)) * K(u,z) = K(x,T(y,z)) / T(z,u). [para(9757(a,2),7555(a,1,1))]. 9759 T(T(x,y) \ z,K(x,y)) = T(z / T(x,y),x). [hyper(8465,a,7159,a),flip(a)]. 9760 a(x,y * K(x,z),x) = a(x,y,T(x,z)). [hyper(679,a,8480,a),flip(a)]. 9761 a(x,y,T(x,z)) = a(x,y,x). [hyper(9148,a,9760,a),flip(a)]. 9762 a(x,y,T(x,z)) != u | a(x,y,x) = u. [para(9760(a,1),9148(a,1))]. 9763 a(x,T(y,x),x) != z | a(x,y,x) = z. [para(9761(a,1),8762(a,1))]. 9764 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u != w | K(z,(x * (y \ z)) \ u) = w. [para(1235(a,1),8523(a,1,1,2))]. 9765 T(x,T(L(y \ 1,y,z),u)) = T(x,T(y \ 1,u)). [hyper(236,a,8639,a(flip),b,8643,a)]. 9766 T(x,T((y \ z) \ 1,u)) = T(x,T(z \ y,u)). [para(347(a,1),9765(a,1,2,1)),flip(a)]. 9767 T(x,((y \ z) * u) \ u) = T(x,T(z \ y,u)). [hyper(7522,a,9766,a)]. 9768 T(x,y \ T(z,z \ y)) = T(x,T(y \ z,z)). [para(5958(a,1),9767(a,1,2))]. 9769 T(x,x \ T(y,y \ x)) = T(x,x \ y). [hyper(236,a,3920,a(flip),b,9768,a)]. 9770 K(T(x \ y,x) \ z,T(z,T(y \ x,x))) = K((T(x,x \ y) \ y) \ z,z). [para(9768(a,1),6526(a,1,2))]. 9771 T(x,x \ y) / T(y,y \ x) = y \ T(x,x \ y). [para(9769(a,1),197(a,1,2))]. 9772 T(x,x \ y) / ((y \ x) \ x) = y \ T(x,x \ y). [hyper(674,a,9771,a)]. 9773 x \ T(y,y \ x) = y / ((y \ ((x \ y) \ y)) * y). [hyper(236,a,6373,a(flip),b,9772,a(flip))]. 9774 L(K(x,y),z,L(y,u,w)) = K(x,y). [hyper(8946,a,8803,a),flip(a)]. 9775 K(L(x,y,L(z,u,w)),z) = K(x,z). [hyper(9006,a,9774,a)]. 9776 K(x,L(y,z,L(y,u,w))) = K(x,y). [hyper(236,a,9108,a(flip),b,9774,a(flip)),flip(a)]. 9777 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(4169(a,1),9775(a,1,1))]. 9779 L(T(K(x,T(y,z * u)),u),u,z) = (z * (K(x,y) * u)) / (z * u). [para(7278(a,1),9151(a,1,1))]. 9780 T(x * (K(y,z) * (x \ 1)),x) = L(K(y,z),x \ 1,x). [para(8058(a,1),9431(a,1,1)),flip(a)]. 9781 (K(x,y) * (z \ 1)) * a(z,K(x,y) * (z \ 1),z) = L(K(x,y),z \ 1,z) / z. [para(9780(a,1),9047(a,1,1)),flip(a)]. 9782 ((x * T(y,z)) * (y \ 1)) / K(y,z) = R(x,y,y \ K(y,z)). [para(6201(a,1),9494(a,1,1,1))]. 9783 ((x * T(y,z)) * (y \ 1)) * K(z,y) = R(x,y,y \ K(y,z)). [hyper(7561,a,9782,a)]. 9784 (x * T(y,z)) * (y \ K(z,y)) = R(x,y,y \ K(y,z)). [hyper(236,a,6957,a(flip),b,9783,a(flip)),flip(a)]. 9785 T((x \ y) * z,K(y,x)) = (x \ y) * T(z,K(y,x)). [hyper(9532,a,9531,a)]. 9786 K(x,y \ 1) * T((x \ (y \ x)) * z,K(y \ x,x)) = ((y \ x) / x) * T(z,K(y \ x,x)). [para(9785(a,2),5780(a,1,2))]. 9787 K(x,T((y / (x * z)) \ 1,u)) = K(x,T((y / z) \ x,u)). [hyper(3970,a,9705,a),flip(a)]. 9789 K(x,T((y / z) \ x,y)) = K(x,y \ (x * z)). [hyper(236,a,7697,a(flip),b,9787,a(flip))]. 9790 K(x,T((y / z) \ x,y)) = K(x,y \ (z * x)). [hyper(236,a,8833,a,b,9789,a)]. 9791 K(x,y \ (x * (z \ y))) = K(x,T(z \ x,y)). [para(62(a,1),9789(a,1,2,1,1)),flip(a)]. 9792 K(x,y \ ((z \ y) * x)) = K(x,T(z \ x,y)). [para(62(a,1),9790(a,1,2,1,1)),flip(a)]. 9793 K(x,T(y \ x,x * z)) = K(x,z \ (y \ (x * z))). [hyper(8343,a,9791,a),flip(a)]. 9794 K(x,y \ (z \ (x * y))) = K(x,T(z \ x,y)). [hyper(7827,a,9793,a),flip(a)]. 9795 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(6039(a,1),9794(a,1,2))]. 9796 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(2781(a,1),9706(a,2,1,1))]. 9797 R(K(T(T(x,y),y * z),u),y,z) = ((y * z) \ ((y * K(u,x)) * z)) \ 1. [para(9721(a,1),6802(a,1,1)),flip(a)]. 9798 K(L(x,y,z),T(T(u,y),z * y)) = K((z * (x * y)) / (z * y),u). [para(38(a,1),9722(a,1,2))]. 9800 L(T(K(x \ y,T(x,z)),z),z,y) = (y * (K(x \ y,x) * z)) / (y * z). [para(9436(a,1),9779(a,1,1,1))]. 9801 K(x \ R(1 / y,y,z),y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(236,a,7060,a(flip),b,7343,a(flip))]. 9802 K(x \ R(y \ 1,y,z),y \ 1) = K(z / (x * (y * z)),y \ 1). [hyper(236,a,5739,a(flip),b,9801,a(flip)),flip(a)]. 9803 K(x / (y * (z * x)),z \ 1) = K(y \ (x / (z * x)),z \ 1). [para(159(a,1),9801(a,1,1,2)),flip(a)]. 9804 K(x / (y * (z * x)),z \ 1) = K(y \ ((z * x) \ x),z \ 1). [hyper(236,a,8703,a(flip),b,9803,a)]. 9805 K(x / (y * ((z \ 1) * x)),(z \ 1) \ 1) != u | K(y \ (x / ((z \ 1) * x)),z) = u. [para(9803(a,2),5441(a,1))]. 9806 T(x * K(y,x),K(x,z) * u) = T(x,u) * K(y,T(x,u)). [para(7409(a,1),7418(a,1,2,2)),flip(a)]. 9807 T(x * K(y,x),K(x,z) * u) = T(x * K(y,x),u). [hyper(236,a,5493,a(flip),b,9806,a)]. 9809 T(x * K((K(x,y) * z) * R(x,u,w),x),z) = R(x,K(x,y) * z,R(x,u,w)). [hyper(236,a,5495,a(flip),b,9807,a(flip))]. 9810 L(K(x,y),z * K(y,x),u) = L(K(x,y),z,u). [hyper(7565,a,8803,a)]. 9811 K(x * K(L(y,z,u),w),L(y,v5,v6)) = K(x,L(y,v5,v6)). [hyper(236,a,4838,a(flip),b,7676,a)]. 9812 K(K(L(x,y,z),u) * w,L(x,v5,v6)) = K(w,L(x,v5,v6)). [para(7281(a,1),9811(a,1,1))]. 9813 K(K(x,y) * z,L(x,u,w)) = K(z,L(x,u,w)). [para(320(a,1),9812(a,1,1,1,1))]. 9814 K(x \ T(y,z),L(z,u,w)) = K(x \ y,L(z,u,w)). [para(5540(a,1),9813(a,1,1)),flip(a)]. 9815 K(x \ (y / z),L(z,u,w)) = K(x \ (z \ y),L(z,u,w)). [para(121(a,1),9814(a,1,1,2)),flip(a)]. 9816 ((x * y) * z) / (x * T(y,z)) = T(z,y) * K(x * y,T(z,y)). [para(7683(a,1),7729(a,2,2))]. 9817 ((x * y) * z) / (x * T(y,z)) = T(z * K(x * y,z),y). [hyper(236,a,5493,a(flip),b,9816,a)]. 9818 K(x \ y,T(z,(x \ y) \ T(y,x))) = K(y / x,z). [hyper(236,a,8450,a(flip),b,7810,a)]. 9819 K(x \ y,T(z,T(y,x))) = K(y / x,z). [hyper(7824,a,9818,a)]. 9820 T(x / y,T((y * z) \ x,y)) != u | T(x / y,T(z \ (y \ x),y)) = u. [para(7852(a,1),7373(a,1))]. 9821 K(x,(T(y,z) / u) / (y / u)) * (y / u) = T(y,K(x,z)) / u. [para(7977(a,1),7949(a,1,1))]. 9822 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = ((T(y,K(x,z)) / u) * u) / y. [para(9821(a,1),115(a,1,1,1)),flip(a)]. 9823 x * (T(y,K(z,u)) / w) != y / w | K((T(y,u) / w) / (y / w),z) = x. [para(9821(a,1),5270(a,1,2))]. 9824 T(x,T((y \ z) / z,T(y,u))) = T(x,(((y \ 1) \ 1) \ z) / z). [hyper(8244,a,8165,a)]. 9825 T(x,T((y \ z) / z,T(y,u))) = T(x,((y \ 1) \ 1) \ 1). [hyper(236,a,4184,a(flip),b,9824,a)]. 9827 T(x,T((y \ z) / z,T(y,u))) = T(x,y \ 1). [hyper(236,a,4503,a(flip),b,9825,a)]. 9829 L(K(x,T(y,z)),u,L(y,w,v5)) = K(x,T(y,z)). [hyper(7030,a,8375,a)]. 9830 L(K(x,T(y,z)),u,y) = K(x,T(y,z)). [para(320(a,1),9829(a,1,3))]. 9831 K((x \ 1) * y,T(x \ 1,z)) = K(x \ y,T(x \ 1,z)). [hyper(6596,a,9830,a)]. 9832 K((x \ y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). [hyper(236,a,6568,a(flip),b,9830,a(flip))]. 9833 K(((x \ y) \ 1) * z,T((x \ y) \ 1,u)) = K((x \ y) \ z,T(y \ x,u)). [hyper(236,a,9464,a(flip),b,9831,a)]. 9834 R(x,y,T(x * K(z,x),u)) = R(x,y,x * K(z,x)). [para(4853(a,1),8388(a,1,1)),flip(a)]. 9835 R(x,y,x * K(z,x)) = R(x,y,x). [para(4853(a,1),9834(a,1,3)),flip(a)]. 9836 R(x \ y,z,y / x) = R(x \ y,z,x \ y). [para(4903(a,1),9835(a,1,3))]. 9837 K(x,K(y,z)) * ((K(x,y) * z) \ u) = (z * K(x,y)) \ u. [para(7222(a,1),8432(a,2,1))]. 9838 K(1 / T(x,y),z) \ K(K(1 / T(x,y),z),y) = K(z,1 / x). [hyper(236,a,5093,a(flip),b,8436,a)]. 9839 K(x,1 / T(T(y,z),z)) = K(x,1 / y). [hyper(9537,a,9838,a)]. 9840 K(x,1 / ((y * z) / y)) = K(x,1 / T(z,y)). [para(162(a,1),9839(a,1,2,2,1)),flip(a)]. 9841 K(x,1 / T(y,z / y)) = K(x,1 / (z / (z / y))). [para(186(a,1),9839(a,1,2,2,1))]. 9842 K(x,K(y,z) / y) = K(x,1 / T(y,z)). [para(5087(a,2),9840(a,1,2))]. 9843 K(x,K(1 / y,z) / (1 / y)) = T(K(x,y),z). [hyper(236,a,5652,a(flip),b,9842,a)]. 9844 K(x,1 / (K(y,z \ 1) / z)) = T(K(x,z),y). [para(5718(a,1),9843(a,1,2))]. 9845 K(x,y * K(y \ 1,z)) = T(K(x,y),z). [hyper(236,a,7584,a(flip),b,9844,a(flip)),flip(a)]. 9846 K(x,y * K(1 / y,z)) = T(K(x,y),z). [para(3244(a,2),9845(a,1,2,2))]. 9847 T(K(x,y),z / (1 / y)) = K(x,1 / (z / (z / (1 / y)))). [hyper(236,a,5652,a(flip),b,9841,a(flip)),flip(a)]. 9848 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(4813(a,1),8472(a,1,2)),flip(a)]. 9849 T(x * L(y * K(x,y),z,u),x) != w * L(y,z,u) | R(x,L(y,z,u),x) = w. [para(8739(a,2),20(a,1))]. 9850 T(T(x,x * y) * R(x \ (x * y),z,u),x) = T(x * R(y,z,u),x * y). [hyper(236,a,4148,a(flip),b,8743,a)]. 9851 (x * (y \ ((z \ (y * (x \ u))) * z))) \ u = K(z,(x * (z / y)) \ u). [para(4787(a,1),8815(a,1,1,2))]. 9852 K((x * (y / z)) \ u,z) != w | K((x * (z \ y)) \ u,z) = w. [para(8877(a,1),5376(a,1))]. 9853 L(x,K(y,K(z,u)),y / K(w,u)) = L(x,v5 / v6,(v6 * (v5 / v6)) \ v5). [para(7923(a,1),8891(a,1,2))]. 9854 (K(x,K(y,z)) * T(y,K(u,w))) \ y = K(u,K(w,y)) * K(x,K(y,z)). [para(7923(a,1),8982(a,1,1,1))]. 9855 (x * K(y,z)) * R(K(z,u),w,v5) = x * (R(K(z,u),w,v5) * K(y,z)). [para(2199(a,2),9014(a,2,2))]. 9856 (x * K(y,z)) * (K(z,y) * R(K(y,u),w,v5)) = x * R(K(y,u),w,v5). [para(7540(a,1),9014(a,1,1)),flip(a)]. 9857 (x * L(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * L(K(y,z),u,w)). [para(2194(a,1),9016(a,2,2))]. 9858 R(T(x / y,K(y,x)),z,x / y) != u * (x / y) | a(x / y,z,x / y) = u. [para(9081(a,2),20(a,1))]. 9859 K(x,((y / z) * u) \ (y * u)) = ((y * K(z,x)) * u) \ (y * u). [para(6200(a,1),9488(a,1,1,1)),flip(a)]. 9860 ((x * K(y,z)) * u) * K(z,((x / y) * u) \ (x * u)) = x * u. [para(9859(a,2),14(a,1,2))]. 9861 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(6212(a,1),9859(a,2,1))]. 9862 ((x * K(y,z)) * K(y,u)) * K(z,y) = x * K(y,u). [para(6225(a,1),9860(a,1,2,2))]. 9863 K(((x / y) * z) \ (x * z),u) = (x * z) \ ((x * K(y,u)) * z). [para(9860(a,1),7549(a,1,1)),flip(a)]. 9864 K(x,T(y,(z * K(u,x)) * w)) = K(x,T(y,z * w)). [para(9860(a,1),7812(a,1,2,2)),flip(a)]. 9865 K(x / ((y * K(z,u)) * w),u) = K(x / (y * w),u). [para(9860(a,1),8922(a,1,1,2)),flip(a)]. 9866 K(x,y / ((z * K(u,x)) * w)) = K(x,y / (z * w)). [para(9860(a,1),8929(a,1,2,2)),flip(a)]. 9868 (x * K(y,z)) * K(u,y) = (x * K(u,y)) * K(y,z). [para(7540(a,1),9862(a,1,1,1))]. 9869 K(x,T(y,(z * x) * u)) = K(x,T(y,(x * z) * u)). [para(95(a,1),9864(a,1,2,2,1))]. 9870 K(x / ((K(y,z) * u) * w),z) = K(x / (u * w),z). [para(7249(a,1),9865(a,1,1,2,1))]. 9871 K(x / ((K(y,z) * u) * w),y) = K(x / (u * w),y). [para(7550(a,1),9865(a,1,1,2,1)),flip(a)]. 9872 K(x,y / ((K(z,x) * u) * w)) = K(x,y / (u * w)). [para(7249(a,1),9866(a,1,2,2,1))]. 9873 K(x,y / ((K(x,z) * u) * w)) = K(x,y / (u * w)). [para(7550(a,1),9866(a,1,2,2,1)),flip(a)]. 9874 (x * K(T(y,z),u)) * K(u,w) = (x * K(u,w)) * K(y,T(u,z)). [hyper(8525,a,9868,a),flip(a)]. 9875 (x * K(y,z)) * K(u,y) = x * (K(y,z) * K(u,y)). [hyper(236,a,9020,a(flip),b,9868,a)]. 9876 ((x * K(y,z)) * K(u,y)) * y = (x * K(u,y)) * T(y,z). [para(9868(a,2),6188(a,1,1))]. 9877 K(x,T(y,(z * x) * u)) = K(x,T(y,z * u)). [hyper(9415,a,9869,a(flip)),flip(a)]. 9878 K(x,T(y / ((z * x) * u),z * u)) = K(x,((z * x) * u) \ y). [para(121(a,1),9877(a,1,2)),flip(a)]. 9879 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(468(a,1),9870(a,1,1))]. 9880 K(x,T(y / ((K(x,z) * u) * w),v5)) = ((v5 * x) / v5) / ((v5 * (x * K(y / (u * w),x))) / v5). [para(9871(a,1),9124(a,1,2,1,2,2)),flip(a)]. 9881 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(468(a,1),9872(a,1,2))]. 9882 L(K(x,y),K(y,z),u) = K(x,y). [hyper(436,a,9875,a)]. 9883 (x * K(y,z)) \ (x * K(y,u)) = K(y,u) * K(z,y). [hyper(72,a,9862,a(flip),b,9875,a(flip))]. 9884 ((K(x,y) \ z) * ((K(x,y) \ 1) \ 1)) * K(u,x) = ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)). [para(3004(a,1),9875(a,1,1))]. 9885 L(L(K(x,y),z,u),K(y,w),v5) = L(K(x,y),z,u). [para(9882(a,1),45(a,1,1)),flip(a)]. 9886 L(K(x,T(y,z)),K(y,u),w) = K(x,T(y,z)). [para(8054(a,1),9882(a,1,2))]. 9887 (x * K(y,z)) * K(u,T(y,w)) = x * (K(y,z) * K(u,T(y,w))). [para(9886(a,1),103(a,1,2))]. 9888 x / L(L(K(y,z),u,w),K(z,v5),v6) = x * L(K(z,y),u,w). [para(9885(a,2),8800(a,1,2))]. 9889 (K(x,y) * z) \ (z * K(x,u)) = K(x,u) * K(T(y,z),x). [para(7281(a,1),9883(a,1,1))]. 9890 (x * K(y,z)) * (y * K(u,y)) = (x * K(u,y)) * T(y,z). [hyper(7770,a,9876,a)]. 9891 (K(x,y) * z) \ (z * K(x,u)) = K(x,u) * K(y,T(x,z)). [hyper(236,a,7305,a(flip),b,9889,a)]. 9892 (x * K(y,z)) * T(z,u) = x * (T(z,u) * K(y,z)). [hyper(236,a,9546,a(flip),b,9890,a(flip))]. 9893 (x * (y * K(z,y))) * K(y,u) = x * (T(y,u) * K(z,y)). [hyper(236,a,7710,a,b,9892,a(flip)),flip(a)]. 9894 (K(x,y) * z) \ (K(x,u) * z) = K(x,T(u,z)) * K(y,T(x,z)). [para(7281(a,1),9891(a,1,2))]. 9895 (x / (K(y,z) * L(K(u,y),w,v5))) * K(y,z) = x * L(K(y,u),w,v5). [hyper(779,a,9888,a)]. 9896 (x * K(y,T(z,u))) * K(z,w) = (x * K(z,w)) * K(y,T(z,u)). [para(7260(a,1),9874(a,1,1,2))]. 9897 (x * K(y,T(z,u))) * K(z,w) = x * (K(z,w) * K(y,T(z,u))). [hyper(236,a,9887,a(flip),b,9896,a)]. 9898 K((((x * y) \ x) \ 1) * z,y) = K(z / ((x * y) \ x),y). [para(13(a,1),9502(a,1,2))]. 9899 K(x * (((y * z) \ y) \ 1),z) = K(x / ((y * z) \ y),z). [hyper(236,a,9681,a(flip),b,9898,a(flip)),flip(a)]. 9900 K(x * (((y * z) \ y) \ 1),z) != u | K(((y * z) \ y) \ x,z) = u. [para(9899(a,2),8123(a,1))]. 9901 (x * K((y \ 1) \ (z \ x),z)) * y = (z \ (x * y)) * z. [hyper(4789,a,9549,a),flip(a)]. 9902 (x * K((y \ z) \ x,z)) * y = (z \ (x * y)) * z. [para(8495(a,1),9901(a,1,1,2))]. 9903 x \ R(x * K(y,x),y,y \ 1) = K(y,x) * a(x,y,y \ 1). [para(688(a,1),9672(a,2,2))]. 9904 K(x,y) * a(y,x,x \ 1) = y \ ((x * y) * (x \ 1)). [para(5034(a,1),9903(a,1,2)),flip(a)]. 9905 K(x,(x \ ((y * x) * (y \ 1))) \ z) = K(x,a(x,y,y \ 1) \ z). [para(9904(a,1),8822(a,1,2,1))]. 9906 K(x,((y * x) * (y \ 1)) \ (x * z)) = K(x,a(x,y,y \ 1) \ z). [hyper(236,a,8279,a(flip),b,9905,a(flip)),flip(a)]. 9907 T(x,L((y \ z) \ z,u,w)) = T(x,T(L(y,u,w),z)). [hyper(236,a,7660,a(flip),b,9709,a)]. 9908 T(x,L((y \ z) \ z,u,w)) = T(x,L(T(y,z),u,w)). [para(40(a,2),9907(a,2,2))]. 9909 T(x,L((y \ z) \ z,u,w)) = x * K(x,L(T(y,z),u,w)). [hyper(236,a,4887,a(flip),b,9908,a)]. 9910 T(x,L(T(y,z * y),u,w)) = T(x,L(T(y,z),u,w)). [para(4138(a,2),9908(a,1,2,1)),flip(a)]. 9912 K(x,T(L((y \ z) \ z,u,w),v5)) = K(T(x,v5),L(T(y,z),u,w)). [hyper(17,a,7320,a,b,9909,a(flip)),flip(a)]. 9913 T(x,L((y \ z) \ z,u,w)) != v5 | T(x,L(T(y,z),u,w)) = v5. [para(9909(a,2),4890(a,1))]. 9914 K(x,T(L((y \ z) \ z,u,w),v5)) = K(x,T(L(T(y,z),u,w),v5)). [hyper(236,a,7260,a(flip),b,9912,a)]. 9915 K(x,T(L((y \ z) \ z,u,w),v5)) = K(x,L(T(T(y,z),v5),u,w)). [para(40(a,2),9914(a,2,2))]. 9916 K(x,L(T((y \ z) \ z,u),w,v5)) = K(x,L(T(T(y,z),u),w,v5)). [para(40(a,2),9915(a,1,2))]. 9917 K(x,L(T(T(y \ z,z),u),w,v5)) = K(x,L(T(T(y \ z,y),u),w,v5)). [para(4108(a,2),9916(a,1,2,1,1)),flip(a)]. 9918 L(x,K(y,K(z,u)),y / K(w,u)) = x. [hyper(236,a,3976,a(flip),b,9853,a)]. 9919 K(x,T(K(y,K(z,u)) \ w,(y / K(v5,u)) * K(y,K(z,u)))) = K(x,((y / K(v5,u)) * w) / ((y / K(v5,u)) * K(y,K(z,u)))). [para(9918(a,1),8134(a,1,2,1))]. 9920 T(T(x,K(y,z)),K(y,u)) \ x = K(y,K(u,x)) * K(y,K(x,z)). [para(8939(a,1),9854(a,1,1))]. 9921 T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(y,K(x,z)). [para(7923(a,1),9920(a,2,1))]. 9922 T(T(x,K(y,z)),K(y,u)) \ x = K(x,K(y,u)) * K(x,K(y,z)). [para(7919(a,1),9921(a,2,2))]. 9923 x / (K(y,z) * R(K(z,u),w,v5)) = (x * R(K(u,z),w,v5)) * K(z,y). [hyper(74,a,8592,a(flip),b,9856,a)]. 9924 (x * (K(y,z) * L(K(u,y),w,v5))) * K(z,y) = x * L(K(u,y),w,v5). [hyper(7559,a,9857,a)]. 9925 K(x,L(T(T(y \ z,u),y),w,v5)) = K(x,L(T(T(y \ z,z),u),w,v5)). [para(38(a,1),9917(a,2,2,1)),flip(a)]. 9926 K(x,L(T(T(y \ z,u),z),w,v5)) = K(x,L(T(T(y \ z,u),y),w,v5)). [para(38(a,1),9925(a,2,2,1)),flip(a)]. 9927 K(x,L(T(T(y \ z,u),z),w,v5)) = K(x,L(T(z / y,u),w,v5)). [hyper(236,a,8489,a(flip),b,9926,a)]. 9928 K(x,L(T(y / (y / z),u),w,v5)) = K(x,L(T(T(z,u),y),w,v5)). [para(65(a,1),9927(a,1,2,1,1,1)),flip(a)]. 9929 L(K(x,y \ (z \ u)),z \ u,z) != w | K(x,(z * y) \ u) = w. [para(8804(a,1),7670(a,1))]. 9930 L(K(x,K(y,z) * (u \ w)),u \ w,u) != v5 | K(x,(u * K(z,y)) \ w) = v5. [para(5260(a,1),9929(a,1,1,2))]. 9931 ((x * (1 / y)) * K(z,y)) \ x = T((x * (1 / y)) \ x,z). [para(8977(a,1),7733(a,1,1,2))]. 9932 (x * (1 / T(y,z))) \ x = T((x * (1 / y)) \ x,z). [para(7024(a,1),9931(a,1,1))]. 9934 ((x / (1 / y)) * (1 / T(y,z))) \ (x / (1 / y)) = T(x \ (x / (1 / y)),z). [para(16(a,1),9932(a,2,1,1))]. 9935 K(x \ (y * z),z) * K(z,x \ y) = z \ R(z,(y \ x) \ 1,z). [para(6408(a,1),7788(a,1,2))]. 9936 K(x \ (y * z),z) * K(z,x \ y) = a(z,(y \ x) \ 1,z). [hyper(236,a,9038,a(flip),b,9935,a)]. 9937 L(K(x,T(y,z)),z,L(y,u,w)) != v5 | K(x,T(y,L(y,u,w) * z)) = v5. [para(8754(a,2),7815(a,1))]. 9938 K(x,T(y,L(y,z,u) * w)) = K(x,T(y,w)). [hyper(9937,a,9829,a)]. 9939 K(x,T(y,L(y,z,u) \ w)) = K(x,T(y,w)). [para(14(a,1),9938(a,1,2,2)),flip(a)]. 9940 K(R(x \ R(x,y,z),x,y * z),u) = K(a(x,y,z),T(u,x * (y * z))). [para(3696(a,2),8125(a,1,1))]. 9941 K(x,a(y,z,u)) * K(x,K(a(y,z,u),y * (z * u))) = K(x,((y * z) * u) / (y * (z * u))). [hyper(236,a,7883,a,b,8132,a),flip(a)]. 9942 K(x,T(y / (x \ z),u)) = K(x,T((z / y) \ x,u)). [hyper(8656,a,9739,a)]. 9943 x * K(x,T((y / z) \ x,u)) = T(x,T(z / (x \ y),u)). [para(9942(a,1),4887(a,2,2)),flip(a)]. 9944 T(x,T(y / (x \ z),u)) != w | T(x,T((z / y) \ x,u)) = w. [para(9943(a,1),4890(a,1))]. 9945 T(x,T((y / z) \ x,y)) = T(x,y \ (x * z)). [hyper(9944,a,8763,a)]. 9946 T(x,y \ (x * (z \ y))) = T(x,T(z \ x,y)). [para(62(a,1),9945(a,1,2,1,1)),flip(a)]. 9947 K(x \ ((y \ z) * y),L(y,u,w)) = K(x \ z,L(y,u,w)). [hyper(236,a,4838,a(flip),b,8867,a)]. 9948 K(x \ (y * z),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). [para(13(a,1),9947(a,1,1,2,1))]. 9949 K(L(x,y,z),u \ (w * x)) != v5 | K(L(x,y,z),u \ (x * w)) = v5. [para(8869(a,1),5130(a,1))]. 9950 K((x / y) \ z,L(y,u,w)) = K(x \ (z * y),L(y,u,w)). [hyper(5124,a,9136,a),flip(a)]. 9952 K((x * (y * z)) \ ((x * z) * y),K(z,u)) = K(z,K(u,a(x,z,T(y,z)))). [hyper(236,a,7920,a(flip),b,9169,a)]. 9953 K(L(x,y,y \ 1) \ z,T(y,u)) = K(x \ z,T(y,u)). [hyper(5755,a,9703,a),flip(a)]. 9954 K(((1 / x) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). [para(2920(a,1),9953(a,1,1,1))]. 9955 K(((x \ 1) * y) \ z,T(x,u)) = K((x \ y) \ z,T(x,u)). [hyper(236,a,5740,a(flip),b,9954,a(flip)),flip(a)]. 9956 K(((x \ 1) * y) \ z,T(x,u)) = K(y \ (x * z),T(x,u)). [hyper(236,a,9832,a(flip),b,9955,a)]. 9957 K(x \ (y * z),T(y,x)) = K(((y \ 1) \ z) / x,y). [hyper(236,a,9627,a(flip),b,9956,a(flip))]. 9958 K(((x \ 1) \ y) / z,x) = K((x * y) / z,x). [hyper(8184,a,9957,a),flip(a)]. 9959 K(((x \ 1) \ y) / z,x) = K((z / y) \ x,x). [hyper(236,a,6828,a(flip),b,9958,a)]. 9960 K((x / ((y \ 1) * z)) \ y,y) = K(z / x,y). [para(13(a,1),9959(a,1,1,1)),flip(a)]. 9961 K(x / (y * ((z \ 1) * x)),z) = K(y \ z,z). [para(15(a,1),9960(a,1,1,1)),flip(a)]. 9962 K(x / (y * ((z \ 1) * x)),(z \ 1) \ 1) = K(y \ z,z). [hyper(5397,a,9961,a)]. 9963 R(K(x,T(T(y,z),z * u)),z,u) = ((z * u) \ ((z * K(y,x)) * u)) \ 1. [para(7448(a,1),9797(a,1,1))]. 9964 (x * (K(y \ x,y) * z)) / (x * z) = L(K(y \ x,y),z,x). [para(8046(a,1),9800(a,1,1)),flip(a)]. 9965 L(K(x \ y,x),z,y) * (y * z) = y * (K(x \ y,x) * z). [para(9964(a,1),16(a,1,1))]. 9967 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(y \ (y * x),y) * z). [para(13(a,1),9965(a,1,1,1,1))]. 9968 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(5279(a,1),9940(a,2,2))]. 9969 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(9940(a,1),9238(a,2,2))]. 9970 K(x,K(y,(z * (u * x)) \ ((z * x) * u))) = K(x,K(y,a(z,x,T(u,x)))). [hyper(7960,a,9952,a)]. 9971 ((x * y) \ ((x * K(z,u)) * y)) \ 1 = (x * y) \ ((x * K(u,z)) * y). [hyper(236,a,9721,a(flip),b,9963,a(flip))]. 9972 K(((x / y) * z) \ (x * z),u) \ 1 = (x * z) \ ((x * K(u,y)) * z). [para(9863(a,2),9971(a,1,1))]. 9973 (x * y) \ ((x * K(z,u)) * y) != w | K(z,((x / u) * y) \ (x * y)) = w. [para(9972(a,1),5116(a,1))]. 9974 L(x \ 1,x,K(x,y) * z) = L(x \ 1,x,z). [hyper(7193,a,9664,a)]. 9975 L(x \ 1,x,y * K(x,z)) = L(x \ 1,x,y). [para(8047(a,1),9974(a,1,3))]. 9976 L(x \ 1,T(x,y),z) = L(x \ 1,x,z). [hyper(6554,a,9975,a)]. 9978 T(x * L(x \ 1,x,y),z) = T(x,z) * ((y * T(x,z)) \ y). [para(9976(a,1),2094(a,1,1,2))]. 9979 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(9976(a,1),2683(a,1,1))]. 9981 T(x,y) * ((z * T(x,y)) \ z) = x * ((z * x) \ z). [hyper(236,a,7043,a(flip),b,9978,a(flip))]. 9985 (x * ((y * x) \ y)) \ T(x,z) = 1 / ((y * T(x,z)) \ y). [para(9981(a,1),1851(a,1,1))]. 9986 K(x / y,T(z,u)) \ T(x / (K(y \ x,z) \ x),u) = K(K(x / y,z) \ x,T(K(x / y,z),u)). [para(8119(a,1),7294(a,1,2,1,2))]. 9987 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(7256(a,2),7300(a,1,2,1))]. 9988 (x * K(y,T(z,u))) * K(z,z \ u) = (x / T(u / (u / z),y)) * z. [para(8124(a,1),7634(a,1,1,2))]. 9989 x * (K(y,y \ z) * K(u,T(y,z))) = (x / T(z / (z / y),u)) * y. [hyper(236,a,9897,a(flip),b,9988,a(flip)),flip(a)]. 9990 (x / T(y / (y / z),u)) * z = x * (T(y / (y / z),u) \ z). [para(8162(a,1),9989(a,1,2)),flip(a)]. 9991 (x / T(1 / (1 / y),z)) * y = x * (y * (1 / T(y,z))). [para(6671(a,1),9990(a,2,2))]. 9994 K(x / y,z) * K(K(y \ x,z) * x,x) = K(T(x / (x / y),x) \ x,z). [hyper(236,a,6541,a,b,8236,a)]. 9995 L(x * R(K(x,y),z,u),w,x) = L(x,w,x) * R(K(x,y),z,u). [para(6797(a,1),8384(a,1,2)),flip(a)]. 9996 L(x * R(K(x,y),z,u),w,x) = R(K(x,y),z,u) * L(x,w,x). [hyper(3274,a,9995,a(flip)),flip(a)]. 9998 R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * (R(K(x,y),u,w) * K(y,x)). [hyper(236,a,9855,a(flip),b,8632,a)]. 9999 K(x * K(y,x),T(z / (x * K(y,x)),u)) != w | K(x,T(T(z / x,u),y)) = w. [para(8717(a,2),8428(a,1))]. 10000 K((x * (y * z)) \ (x * ((z * u) * y)),y) = K(L(u,y * z,x),y). [hyper(236,a,8323,a(flip),b,8736,a)]. 10002 (x * (y * ((z \ (y \ (x \ u))) * z))) \ u = K(z,(x * (y * z)) \ u). [para(119(a,1),8814(a,1,1,2,2))]. 10003 ((x * y) * ((z \ ((x * y) \ u)) * z)) \ u = K(z,(x * (y * z)) \ u). [para(4784(a,2),10002(a,1,1))]. 10004 K(x,(y * (z * x)) \ u) = K(x,(y * z) \ (x \ u)). [hyper(8670,a,10003,a),flip(a)]. 10005 K(x,(y * (z * x)) \ u) != w | K(x,(y * z) \ (x \ u)) = w. [para(10003(a,1),8670(a,1))]. 10006 K(x,(y * (z / x)) \ (x \ u)) = K(x,(y * z) \ u). [para(16(a,1),10004(a,1,2,1,2)),flip(a)]. 10007 (x * K(y,(z * u) \ (y \ w))) \ x = K((z * (u * y)) \ w,y). [para(10004(a,1),7549(a,1,1,2))]. 10008 K(x,(y * (x \ z)) \ (x \ u)) = K(x,(y * z) \ u). [hyper(236,a,8823,a(flip),b,10006,a(flip)),flip(a)]. 10009 K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (x * u)). [para(13(a,1),10008(a,1,2,2))]. 10010 K(x,(y * (x \ z)) \ u) = K(x,(y * z) \ (u * x)). [hyper(236,a,8833,a,b,10009,a)]. 10011 (x / y) \ (x * K(y,(z * u) \ (y * w))) = T(y,(z * (y \ u)) \ w). [para(10009(a,1),6221(a,1,2,2))]. 10012 L(K(x,y \ ((z \ u) * x)),z \ u,z) = K(x,(z * y) \ (u * x)). [hyper(236,a,8846,a,b,10010,a(flip)),flip(a)]. 10013 K(x,(y * (z / x)) \ u) = K(x,(y * z) \ (u * x)). [hyper(236,a,8823,a,b,10010,a(flip)),flip(a)]. 10014 K(x,(y * (x \ 1)) \ z) = K(x,y \ (z * x)). [para(12(a,1),10010(a,2,2,1))]. 10015 K(x,(y * x) \ (z * x)) = K(x,y \ z). [para(126(a,1),10010(a,1,2,1)),flip(a)]. 10016 (x \ 1) / (x \ K(x,(y * z) \ (u * x))) = K((y * (z / x)) \ u,x). [para(10010(a,1),8877(a,1,2,2))]. 10017 K(x,(y / x) \ z) = K(x,y \ (z * x)). [para(16(a,1),10015(a,1,2,1)),flip(a)]. 10018 K(x,(y / x) \ (z \ y)) = K(x,T(z \ x,y)). [hyper(236,a,9792,a(flip),b,10017,a)]. 10019 L(K(x,(x \ 1) \ y),y,z) = K(x,z \ ((z * y) * x)). [hyper(6622,a,10014,a)]. 10020 K(x \ y,T(z \ (x \ y),y)) = K(x \ y,x \ (z \ y)). [para(62(a,1),10018(a,1,2,1)),flip(a)]. 10021 L(K(x,(y * z) \ ((u \ w) * x)),u \ w,u) = K(x,(u * (y * (z / x))) \ w). [para(10013(a,1),6594(a,1,1))]. 10023 L(K(x,x * y),y,z) = K(x,z \ ((z * y) * x)). [para(8285(a,1),10019(a,1,1))]. 10024 L(K(x,x * (y \ z)),y \ z,y) = K(x,y \ (z * x)). [para(14(a,1),10023(a,2,2,2,1))]. 10025 L(K(x,y * x),y,z) = K(x,z \ ((z * y) * x)). [para(6605(a,2),10023(a,1,1))]. 10026 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(L(x,y,z),y * x). [para(212(a,1),10025(a,2,2))]. 10027 K(x / y,z \ (y \ x)) = K(y \ x,y \ (z \ x)). [hyper(8171,a,10020,a)]. 10028 K(x \ y,(z * x) \ y) = K(x \ y,x \ (z \ y)). [hyper(236,a,8878,a(flip),b,10027,a(flip)),flip(a)]. 10029 K(((x \ y) / z) \ y,(x * ((x \ y) / z)) \ y) = K(((x \ y) / z) \ y,z). [para(65(a,1),10028(a,2,2))]. 10030 K((x * (y * z)) \ u,z) != w | K((x * y) \ (z \ u),z) = w. [para(10007(a,1),7560(a,1))]. 10031 K((x * (y * z)) \ u,y) = K((x * z) \ (y \ u),y). [hyper(10030,a,8688,a),flip(a)]. 10033 K((x * y) \ (z \ (x * ((y * u) * z))),z) = K(L(u,z * y,x),z). [hyper(236,a,10000,a(flip),b,10031,a(flip))]. 10034 K((x * y) \ ((1 / y) \ z),1 / y) = K(x \ z,1 / y). [para(64(a,1),10031(a,1,1,1)),flip(a)]. 10035 1 / (x \ K((y * z) \ (x \ u),x)) = T(x,(y * (x * z)) \ u). [para(10031(a,1),5013(a,2,2,2)),flip(a)]. 10036 K((x * (y \ z)) \ ((1 / (y \ z)) \ u),1 / (y \ z)) = K(x \ u,z \ y). [hyper(236,a,6411,a(flip),b,10034,a)]. 10037 L(K(L(x,y,z),y * L(x,y,z)),y,z) = K(x,x * y). [hyper(236,a,7767,a(flip),b,10026,a)]. 10039 T(x,(y * (x * z)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(5014,a,10035,a),flip(a)]. 10040 T(x,(y * (z * x)) \ u) = T(x,(y * z) \ (x \ u)). [hyper(236,a,8853,a,b,10039,a(flip)),flip(a)]. 10041 L(T(x,(y * z) \ (x \ u)),w,v5) \ L(x,w,v5) = K((y * (z * x)) \ u,L(x,w,v5)). [para(10040(a,1),4838(a,1,1,1))]. 10042 T(x,(y * (x \ z)) \ u) = T(x,(y * z) \ (x * u)). [hyper(6227,a,10011,a),flip(a)]. 10043 T(x,(y * (x \ 1)) \ z) = T(x,y \ (x * z)). [para(12(a,1),10042(a,2,2,1))]. 10044 K((x * (y / z)) \ u,z) = K((x * y) \ (u * z),z). [hyper(5376,a,10016,a),flip(a)]. 10045 K((x * (y \ z)) \ u,y) = K((x * z) \ (u * y),y). [hyper(9852,a,10044,a)]. 10046 K((x * y) \ (z * u),u) != w | K((x * (u \ y)) \ z,u) = w. [para(10044(a,1),9852(a,1))]. 10047 K((x * (y \ 1)) \ z,y) = K(x \ (z * y),y). [para(12(a,1),10045(a,2,1,1))]. 10048 L(K(x * (y \ z),x),y \ z,y) = K(y \ (z * x),x). [hyper(236,a,7726,a,b,10047,a(flip)),flip(a)]. 10049 K(x \ y,x) * L(T(x,x \ y),z,u) = y \ ((L(x,z,u) * (x \ y)) * x). [para(1118(a,1),8889(a,1,2)),flip(a)]. 10050 (x * T(y,L(z,y,x))) \ (x * (y * (z * K(y,z)))) = L(z,y,x). [para(4946(a,1),9002(a,1,1,2))]. 10051 (x * T(y,L(z,y,x))) \ (x * (T(y,z) * z)) = L(z,y,x). [para(4924(a,1),10050(a,1,2,2))]. 10052 x \ (K(y,z) * (K(u,y) * x)) = T(K(u,y),x) * T(K(y,z),x). [para(7805(a,1),9028(a,1,2)),flip(a)]. 10054 (x * y) \ (y * T(T(z * x,z) / z,y)) = L(a(z,T(x,y),z),T(x,y),y). [para(1416(a,1),9068(a,1,2,2))]. 10055 K(x,K(y,z \ 1)) \ (K(z \ 1,y) * (z \ K(z,x))) = T(z \ K(z,x),y). [para(7919(a,1),9103(a,1,1))]. 10056 K(x,T((y / z) \ 1,u)) = K(x,T(z / y,u)). [hyper(9125,a,9130,a),flip(a)]. 10057 K(x,T((y / z) \ 1,u)) != w | K(x,T(z / y,u)) = w. [para(9130(a,1),9125(a,1))]. 10059 K(x,K((1 / y) / z,(z * y) / u)) = (T(z * y,K(x,u)) / y) / z. [hyper(9277,a,9281,a)]. 10060 K(x,K((1 / y) / z,(z * y) / u)) = K(x,K(u,(1 / y) / z)). [hyper(236,a,9276,a(flip),b,10059,a)]. 10061 K(x,K((1 / (y \ z)) / u,R(u / y,y,y \ z))) = K(x,K(z,(1 / (y \ z)) / u)). [para(484(a,2),10060(a,1,2,2))]. 10062 K((x / y) / (y \ 1),1 / y) = K((y \ x) / (y \ 1),1 / y). [para(3051(a,1),9656(a,1,1)),flip(a)]. 10063 K((x / y) / (y \ 1),1 / y) = K((y \ x) / (1 / y),1 / y). [hyper(236,a,5429,a,b,10062,a)]. 10064 K((x / y) / (1 / y),1 / y) = K((y \ x) / (1 / y),1 / y). [hyper(5632,a,10063,a)]. 10065 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K((y \ x) / (1 / y),1 / y). [para(10064(a,1),5026(a,2,2))]. 10066 T(x,y * x) * ((T(x,x * y) * K(z,x)) \ u) = K(x,z) * u. [para(3137(a,1),9704(a,1,1,1))]. 10067 T(x,y * x) * (L(x,y,x) \ z) = K(x,y) * z. [para(5395(a,1),10066(a,1,2,1))]. 10068 T(x,x * y) * (L(x,y,x) \ z) = K(x,y) * z. [para(4255(a,1),10067(a,1,1))]. 10069 K(T(x \ y,x) \ z,T(z,T(y \ x,x))) = K(T(x \ y,x) \ z,z). [para(4109(a,1),9770(a,2,1,1))]. 10070 K(T(x \ y,x) \ z,T(z,x / y)) = K(T(x \ y,x) \ z,z). [para(8364(a,1),10069(a,1,2))]. 10071 K(T(x \ y,x) \ z,T(z,x / y)) = K((x \ y) \ z,T(z,x)). [hyper(236,a,8701,a(flip),b,10070,a)]. 10072 K((x \ y) \ z,T(T(z,x / y),x)) = K((x \ y) \ z,T(z,x)). [hyper(236,a,9126,a(flip),b,10071,a(flip)),flip(a)]. 10073 K((x \ y) \ z,T(T(z,x),x / y)) = K((x \ y) \ z,T(z,x)). [para(38(a,1),10072(a,1,2))]. 10074 K(((x \ y) \ 1) * z,T(y \ x,u)) = K((x \ y) \ z,T(y \ x,u)). [hyper(9465,a,9833,a)]. 10075 K(x * ((y \ z) \ 1),T(z \ y,u)) = K((y \ z) \ x,T(z \ y,u)). [hyper(236,a,7869,a(flip),b,10074,a(flip)),flip(a)]. 10076 K(x * ((y \ z) \ 1),T(z \ y,z)) = K((y \ z) \ x,y / z). [hyper(236,a,8069,a(flip),b,10075,a)]. 10077 K(x * ((y \ z) \ 1),y / z) = K((y \ z) \ x,y / z). [hyper(8187,a,10076,a)]. 10078 K(((x \ y) \ 1) * z,x / y) = K((x \ y) \ z,x / y). [hyper(236,a,8625,a,b,10077,a(flip)),flip(a)]. 10079 T(T(x,x * y) * R(y,z,u),x) = T(x * R(y,z,u),x * y). [para(13(a,1),9850(a,1,1,2,1))]. 10080 (x * K(y,z)) \ (x / (1 / z)) = T(x \ (x / (1 / z)),y). [para(7025(a,1),9934(a,1,1))]. 10081 (x \ 1) * T(y \ (y / (1 / x)),x \ 1) = x \ (y \ (y / (1 / x))). [para(10080(a,1),6904(a,1,2))]. 10082 (x \ 1) * (y \ (y / (x \ 1))) = x \ (y \ (y / (1 / x))). [para(3023(a,1),10081(a,1,2))]. 10083 (((1 * x) \ 1) \ 1) * (y \ (y / T(1 * x,x \ 1))) = ((1 * x) \ 1) \ (y \ (y / (1 / ((1 * x) \ 1)))). [para(6375(a,2),10082(a,1,2,2,2))]. 10084 K(x / y,z) * K(K(y \ x,z) * x,x) = K(x / T(y,x),z). [para(4362(a,1),9994(a,2,1))]. 10085 K(x / y,z) * K(x * K(y \ x,z),x) = K(x / T(y,x),z). [para(5559(a,1),10084(a,1,2))]. 10086 T(x * K(x / y,z),x) = x * K(x / T(y,x),z). [para(10085(a,1),8587(a,1,2)),flip(a)]. 10087 T(x * K(x / y,z),x) = x * K(T(x,y) / y,z). [para(4115(a,2),10086(a,2,2,1))]. 10088 K((x * ((y * z) \ y)) \ ((1 / ((y * z) \ y)) \ u),1 / ((y * z) \ y)) = K(x \ u,z). [para(13(a,1),10036(a,2,2))]. 10089 T(K(x \ y,x) * L(x,z,u),x \ y) = y \ ((L(x,z,u) * (x \ y)) * x). [hyper(8776,a,10049,a)]. 10090 L(a(x,T(y,z),x),T(y,z),z) = (y * z) \ ((T(x * y,x) / x) * z). [para(119(a,1),10054(a,1,2)),flip(a)]. 10091 K(x,K(y,z \ 1)) \ (K(z,x) * T(z \ 1,y)) = T(z \ K(z,x),y). [para(5913(a,1),10055(a,1,2))]. 10092 K(K(x,y \ 1),z) * (K(y,z) * T(y \ 1,x)) = T(y \ K(y,z),x). [hyper(5286,a,10091,a)]. 10093 K(x,K(y \ 1,z)) * (K(y,z) * T(y \ 1,x)) = T(y \ K(y,z),x). [para(7886(a,1),10092(a,1,1))]. 10094 K(x,K(y,z)) * (K(z,x) * T(z \ 1,y)) = T(z \ K(z,x),y). [para(9253(a,1),10093(a,1,1))]. 10095 K(x,T(y,z)) * T(x \ 1,z) = T(x \ K(x,y),z). [hyper(9158,a,10094,a)]. 10096 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K((y \ x) * y,1 / y). [para(6017(a,1),10065(a,2,2))]. 10097 (x / y) / ((x / y) / (1 / y)) = (1 / y) * K(x,1 / y). [para(8589(a,1),10096(a,2,2))]. 10098 (x / y) / ((x / y) / (1 / y)) = K(x,1 / y) / y. [hyper(236,a,2325,a(flip),b,10097,a)]. 10099 x / ((y / (x \ y)) / (1 / (x \ y))) = K(y,1 / (x \ y)) / (x \ y). [para(62(a,1),10098(a,1,1))]. 10100 K(x,1 / (y \ x)) / (y \ x) = y / (y / (1 / (y \ x))). [para(62(a,1),10099(a,1,2,1)),flip(a)]. 10101 K(x,y / x) / (y \ x) = y / (y / (1 / (y \ x))). [para(5371(a,1),10100(a,1,1))]. 10102 T((x / (1 / (x \ y))) / x,K(y,x / y) / (x \ y)) = (((x / (1 / (x \ y))) / x) \ 1) \ 1. [para(10101(a,2),2145(a,1,2))]. 10103 (x / y) \ (L(y,z,u) * (y \ x)) = x \ ((L(y,z,u) * (y \ x)) * y). [hyper(236,a,7179,a(flip),b,10089,a(flip)),flip(a)]. 10104 K(x,y) * L(K(y,x) * z,K(x,y),u) = K(x,y) * ((u * K(x,y)) \ (u * z)). [hyper(236,a,7542,a(flip),b,7566,a(flip)),flip(a)]. 10106 T(x * K(y * R(x,z,u),x),y) = R(x,T(y,T(x,w)),R(x,z,u)). [hyper(236,a,7527,a(flip),b,7686,a(flip)),flip(a)]. 10108 R(x,T(y,T(x,z)),R(x,u,w)) = R(x,y,R(x,u,w)). [hyper(236,a,5495,a(flip),b,10106,a(flip))]. 10109 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(8147(a,1),10108(a,1,2))]. 10110 K(L(x,y,z),u * (K(x,w) * v5)) = K(L(x,y,z),u * v5). [hyper(236,a,5668,a(flip),b,7779,a)]. 10111 K(x * (K(y,z) * u),R(y,w,v5)) = K(x * u,R(y,w,v5)). [hyper(236,a,5669,a(flip),b,7780,a)]. 10112 K(x * y,R(y,z,u)) = K(y * x,R(y,z,u)). [para(4971(a,1),10111(a,1,1)),flip(a)]. 10113 K((x \ y) \ z,L(x,u,w)) = K(y \ (x * z),L(x,u,w)). [hyper(5966,a,8381,a),flip(a)]. 10115 K((x * y) \ z,L(y,u,w)) = K(x \ (y \ z),L(y,u,w)). [hyper(5966,a,8390,a),flip(a)]. 10116 K(L(x \ y,x,z),L(x,u,w)) = K(z \ (x \ (z * y)),L(x,u,w)). [para(105(a,2),10115(a,1,1))]. 10117 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(y,z) \ u). [para(7988(a,1),8466(a,1,1,3))]. 10118 R(x,K(y,z),u * K(z,y)) * u = (x * K(y,z)) * (K(z,y) * u). [para(5260(a,1),10117(a,2,2))]. 10119 L(K(x,T(T(y,z),u * (K(y,x) * z))),z,u) = (u * z) / (u * (K(y,x) * z)). [para(7256(a,2),8811(a,1,1))]. 10123 (x \ T(K(y \ x,z) * x,x)) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(8207(a,1),9123(a,1,1))]. 10124 K(x,K(R(y,z,u),R(z,w,v5) \ z)) = K(x,K(y,(z * u) / (R(z,w,v5) * u))). [hyper(7971,a,9422,a)]. 10125 K(x,T(R(y,z,u) * (y \ x),T(y,R(y,z,u)))) = K(x,x * (y \ R(y,z,u))). [para(1491(a,1),9747(a,1,2,1))]. 10126 K(x,(y * (x / z)) \ u) = K(x,(y * (z \ x)) \ u). [hyper(9764,a,9851,a),flip(a)]. 10127 K(x,(y * (x / y)) \ z) = K(x,x \ z). [para(14(a,1),10126(a,2,2,1))]. 10128 K(x,(y * ((z \ x) \ x)) \ u) = K(x,(y * z) \ u). [para(62(a,1),10126(a,1,2,1,2)),flip(a)]. 10129 K(x,x \ (x * y)) = K(x,K(z \ x,z) * y). [hyper(8348,a,10127,a),flip(a)]. 10130 K(x,K(y \ x,y) * z) = K(x,z). [para(13(a,1),10129(a,1,2)),flip(a)]. 10131 K(x * y,K(y,x) * z) = K(x * y,z). [para(13(a,1),10130(a,1,2,1,1))]. 10132 K(x,K(y,y \ x) * z) = K(x,z). [para(5268(a,1),10130(a,1,2)),flip(a)]. 10133 K(x,((y \ x) \ x) \ z) = K(x,y \ z). [para(5365(a,2),10130(a,1,2))]. 10135 K(x,y) * ((K(z,z \ x) * y) * x) = x * (K(z,z \ x) * y). [para(10132(a,1),4817(a,1,1))]. 10136 T((K(x,y) * z) * K(y * x,z),y * x) = K(x,y) * z. [para(10131(a,1),4853(a,1,1,2))]. 10137 K(x,((y / T(z,z \ x)) * z) \ u) = K(x,y \ u). [para(313(a,1),10128(a,1,2,1)),flip(a)]. 10138 K(x,(y * K(z \ x,z)) \ u) = K(x,y \ u). [para(7612(a,1),10137(a,1,2,1))]. 10139 K(x,(K(y \ x,y) * z) \ x) = K(x,z \ x). [hyper(236,a,8870,a,b,10138,a(flip)),flip(a)]. 10141 K(x,y \ (K(z,z \ x) * x)) = K(x,y \ x). [hyper(236,a,6604,a(flip),b,10139,a(flip)),flip(a)]. 10142 K(x,y \ (z * (x / z))) = K(x,y \ x). [para(4909(a,1),10141(a,1,2,2))]. 10143 K(x * y,z \ (y * x)) = K(x * y,z \ (x * y)). [para(15(a,1),10142(a,1,2,2,2))]. 10144 (K(x,y) * z) * T(y * x,z) = (y * x) * (K(x,y) * z). [para(10136(a,1),6193(a,1,2)),flip(a)]. 10145 T(x,y) * T(K(z,z \ x) * y,x) = x * (K(z,z \ x) * y). [hyper(5619,a,10135,a)]. 10146 T(x,K(y,y \ x) * z) = T(x,z). [hyper(4132,a,10145,a)]. 10147 T(x,(x / y) * z) = T(x,(y \ x) * z). [para(5568(a,1),10146(a,1,2))]. 10148 T(x,(x / y) \ z) = T(x,(y \ x) \ z). [para(5757(a,1),10146(a,1,2)),flip(a)]. 10149 T(x * K(y * R(x,z,u),x),y) = R(x,K(x,w) * y,R(x,z,u)). [para(7506(a,1),9809(a,1,1,2))]. 10150 R(x,K(x,y) * z,R(x,u,w)) = R(x,z,R(x,u,w)). [hyper(236,a,5495,a(flip),b,10149,a(flip))]. 10152 ((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(10150(a,1),6928(a,2,2,2,1,1))]. 10153 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = T(y,K(x,z)) / y. [hyper(236,a,234,a(flip),b,9822,a)]. 10154 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(y,K(x,z)). [hyper(236,a,4880,a,b,10153,a)]. 10156 R(K(x,(T(y,z) / u) / (y / u)),y / u,u) = K(x,K(y,z)). [hyper(236,a,7919,a,b,10154,a)]. 10157 L(K(x,y),z,y * x) * ((y * x) * z) = (y * x) * (K(x,y) * z). [para(13(a,1),9967(a,2,2,1,1))]. 10158 ((x * y) * (K(y,x) * z)) / ((x * y) * z) = L(K(y,x),z,x * y). [hyper(87,a,10157,a)]. 10159 ((x * y) * (K(y,x) * z)) / (z * T(x * y,z)) = L(K(y,x),z,x * y). [hyper(74,a,10157,a(flip),b,161,a)]. 10162 ((K(x,y) * z) * T(y * x,z)) / (z * T(y * x,z)) = L(K(x,y),z,y * x). [para(10144(a,2),10159(a,1,1))]. 10163 K(x,(y * (z * (u / x))) \ w) = K(x,(y * (z * u)) \ (w * x)). [hyper(236,a,10012,a(flip),b,10021,a(flip))]. 10164 K(x,y) * L(K(y,x) * z,K(x,y),u / K(x,y)) = K(x,y) * (u \ ((u / K(x,y)) * z)). [para(16(a,1),10104(a,2,2,1))]. 10166 L(K(x,T(T(y,z),u * z)),z,u) = (u * z) / (u * (K(y,x) * z)). [para(8710(a,1),10119(a,1,1))]. 10168 (x \ T(x * K(x / y,z),x)) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(8113(a,1),10123(a,1,1,2,1))]. 10169 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(10124(a,1),7971(a,1))]. 10170 K(x,T(R(y,z,u) * (y \ x),y)) = K(x,x * (y \ R(y,z,u))). [para(625(a,1),10125(a,1,2,2))]. 10171 L(K(x,y),z,y * x) != u | R(K(x,y),z,T(y * x,z)) = u. [para(10162(a,1),475(a,1))]. 10172 a(x,y * K(z,u),K(u,z)) = L(K(z,u),y,x) * K(u,z). [hyper(7567,a,9027,a)]. 10173 a(x,y * K(z,u),K(u,z)) = K(u,z) * L(K(z,u),y,x). [hyper(236,a,2198,a(flip),b,10172,a)]. 10174 K(x,y) * L(K(y,x),z * K(x,y),u) = a(u,z,K(x,y)). [para(7540(a,1),10173(a,1,2)),flip(a)]. 10175 T(x,a(y,z,K(x,u))) = x. [para(10174(a,1),7416(a,1,2))]. 10176 K(x,y) * L(K(y,x),z,u) = a(u,z,K(x,y)). [para(9810(a,1),10174(a,1,2))]. 10177 K(x,y) * a(z,u,K(y,w)) = a(z,u,K(y,w)) * K(x,y). [para(10175(a,1),7281(a,1,2,2)),flip(a)]. 10178 a(x,y,K(z,u)) * L(K(z,u),y,x) = K(z,u). [hyper(8801,a,10176,a)]. 10179 K(x,y) * a(z,u,K(y,x)) = L(K(x,y),u,z). [hyper(5285,a,10176,a)]. 10180 L(K(x,y),z,u) * K(y,x) = a(u,z,K(y,x)). [hyper(2196,a,10176,a)]. 10182 T(x,y) * L(K(y,x),z,u) = x * a(u,z,K(x,y)). [para(10176(a,1),4856(a,1,2)),flip(a)]. 10183 K(x \ 1,y) * K(y,L(x,z,u) \ 1) = a(u,z,K(x \ 1,y)). [para(5890(a,1),10176(a,1,2))]. 10184 K(x,y) * K(L(y,z,u),x) = a(u,z * y,K(x,y)). [para(6579(a,1),10176(a,1,2))]. 10185 K(x,y) * (L(K(y,x),z,u) * w) = a(u,z,K(x,y)) * w. [para(10176(a,1),6911(a,1,1)),flip(a)]. 10186 (x / a(y,z,K(u,w))) * K(u,w) = x * L(K(u,w),z,y). [para(10176(a,1),9895(a,1,1,2))]. 10187 (x * a(y,z,K(u,w))) * K(w,u) = x * L(K(w,u),z,y). [para(10176(a,1),9924(a,1,1,2))]. 10189 a(x,y,K(y \ 1,z)) = 1. [hyper(71,a,7006,a(flip),b,10179,a),flip(a)]. 10190 a(x,y \ 1,K(y,z)) = 1. [hyper(71,a,6952,a(flip),b,10179,a),flip(a)]. 10191 x * a(y,z,K(z \ 1,u)) != w | w = x. [para(10189(a,2),83(a,1,2))]. 10192 L(K(x,y),x \ 1,z) = K(x,y). [hyper(33,a,10190,a)]. 10193 x * a(y,z \ 1,K(z,u)) != w | w = x. [para(10190(a,2),83(a,1,2))]. 10195 L(K(x,y),1 / x,z) = K(x,y). [hyper(236,a,7000,a,b,10192,a(flip)),flip(a)]. 10196 (x * (y \ 1)) * K(y,z) = x * ((y \ 1) * K(y,z)). [para(10192(a,1),103(a,1,2))]. 10197 L(K(1 / (x \ (x / y)),z),x \ (x / (1 / (1 / y))),u) = K(1 / (x \ (x / y)),z). [para(2754(a,1),10195(a,1,2))]. 10200 L(K(x,y),z,u) * a(u,z,K(x,y)) = K(x,y). [hyper(6044,a,10180,a)]. 10201 K(x,L(y,z,u)) * K(y,x) = a(u,z * y,K(y,x)). [para(6584(a,1),10180(a,1,1))]. 10202 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(6574(a,1),10200(a,1,1))]. 10203 (x / (x / y)) * K(L(y,z,u),y \ x) = y * a(u,z * y,K(y \ x,y)). [para(10184(a,1),5573(a,2,2))]. 10204 (x * (y \ 1)) * K(y,z) = x * (y \ K(y,z)). [para(4033(a,1),10196(a,2,2))]. 10205 R(x,y,y \ K(y,z)) = (x * y) * (y \ 1). [hyper(18,a,309,a,b,10204,a),flip(a)]. 10206 R(x,y,y \ K(y,z)) = R(x,y,y \ 1). [hyper(236,a,189,a(flip),b,10205,a)]. 10208 R(x,T(y,z),T(y,z) \ 1) = R(x,T(y,z),y \ 1). [para(4990(a,1),10206(a,1,3)),flip(a)]. 10210 (x * T(y,z)) * (y \ K(z,y)) = R(x,T(y,z),y \ 1). [hyper(236,a,5015,a,b,10208,a(flip)),flip(a)]. 10212 R(x,T(y,z),y \ 1) = R(x,y,y \ K(y,z)). [hyper(236,a,9784,a(flip),b,10210,a(flip))]. 10213 R(x,T(y,z),y \ 1) = R(x,y,y \ 1). [hyper(236,a,10206,a(flip),b,10212,a)]. 10215 R(x,T(y,z),T(y,z) \ 1) = R(x,y,y \ 1). [hyper(236,a,10208,a,b,10213,a(flip)),flip(a)]. 10218 R(x,y,y \ 1) / (T(y,z) \ 1) = x * T(y,z). [hyper(74,a,10215,a(flip),b,189,a)]. 10219 a(x,T(y,z),T(y,z) \ 1) = x \ R(x,y,y \ 1). [hyper(72,a,10215,a(flip),b,689,a),flip(a)]. 10220 R(x,y \ 1,y) / (T(y \ 1,z) \ 1) = x * T(y \ 1,z). [para(2798(a,1),10218(a,1,1))]. 10221 a(x,T(y,z),T(y,z) \ 1) = a(x,y,y \ 1). [hyper(236,a,688,a(flip),b,10219,a)]. 10223 a(x,y,K(z,u)) * (L(K(z,u),y,x) * w) = K(z,u) * w. [para(6041(a,1),10185(a,1,2)),flip(a)]. 10224 x / a(y,z,K(u,w)) = x * a(y,z,K(w,u)). [hyper(18,a,10186,a,b,10187,a),flip(a)]. 10225 (x * K(y,z)) * a(u,w,K(z,y)) = x * L(K(y,z),w,u). [hyper(18,a,1655,a,b,10187,a)]. 10227 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(z,u,K(v5,w)). [para(10224(a,1),393(a,1,1))]. 10228 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(x,y)) \ w. [hyper(72,a,5268,a(flip),b,10223,a),flip(a)]. 10229 (x * T(y,z)) * L(K(z,y),u,w) = (x * y) * a(w,u,K(y,z)). [para(7554(a,1),10225(a,1,1)),flip(a)]. 10230 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(5909(a,1),10183(a,1,1))]. 10231 x * (T(y,z) * L(K(z,y),u,w)) = (x * y) * a(w,u,K(y,z)). [hyper(236,a,7760,a(flip),b,10229,a(flip)),flip(a)]. 10232 (x * y) * a(z,u,K(y,w)) = x * (y * a(z,u,K(y,w))). [para(10182(a,1),10231(a,1,2)),flip(a)]. 10233 a(x,y,a(z,u,K(y,w))) = 1. [hyper(71,a,10232,a(flip),b,91,a),flip(a)]. 10234 a(x,T(y,z),a(u,w,K(y,v5))) = 1. [para(8054(a,1),10233(a,1,3,3))]. 10235 x / T(x / y,T(L(y,z,u),y)) = y * a(u,z * y,K(y \ x,y)). [hyper(236,a,7630,a(flip),b,10203,a(flip)),flip(a)]. 10236 x / T(x / y,L(y,z,u)) = y * a(u,z * y,K(y \ x,y)). [para(132(a,1),10235(a,1,2,2))]. 10237 T(T(T(x,y \ x) / y,x),x / z) = K(y \ x,z \ x) * (x / y). [para(8675(a,1),7857(a,1,1)),flip(a)]. 10238 T(T(T(x,y \ x) / y,x),x / z) = T(x / y,T(z \ x,y)). [hyper(236,a,7372,a(flip),b,10237,a)]. 10239 T(x / y,T(z \ x,y)) = T(x / y,x / z). [para(3897(a,1),10238(a,1,1)),flip(a)]. 10240 T(x / y,T(z \ (y \ x),y)) = T(x / y,x / (y * z)). [hyper(9820,a,10239,a)]. 10241 T(T((x \ 1) * y,x \ y),K(z,u)) = T((x \ 1) * y,K(z,T(u,x \ y))). [hyper(76,a,8605,a),flip(a)]. 10242 T((x \ 1) * y,K(z,T(u,x \ y))) = T((x \ 1) * y,K(z,u)). [para(4521(a,1),10241(a,1,1)),flip(a)]. 10243 (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(6094,a,10242,a)]. 10244 K(L(x,y,z),u \ L(K(x,w),v5,v6)) = K(L(x,y,z),u \ 1). [hyper(236,a,5667,a(flip),b,8708,a)]. 10246 K(T(x,((y \ 1) / ((1 / (y \ 1)) \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [hyper(236,a,8721,a(flip),b,8722,a)]. 10247 K(T(x,((y \ 1) / (y \ z)) \ 1),y \ 1) = K(T(x,z),y \ 1). [para(62(a,1),10246(a,1,1,2,1,2,1))]. 10248 K(T(x,(y \ 1) \ (y \ z)),y \ 1) = K(T(x,z),y \ 1). [hyper(236,a,8612,a(flip),b,10247,a(flip)),flip(a)]. 10250 K(T(x,y \ z),y \ 1) = K(T(x,z),y \ 1). [hyper(8393,a,10248,a)]. 10251 T(x * L(K(y,z),u,w),K(z,v5)) = T(x,K(z,v5)) * L(K(y,z),u,w). [para(5909(a,1),8937(a,1,1,2))]. 10252 L(K(x,y),z,u) \ T(w,K(y,v5)) = T(L(K(x,y),z,u) \ w,K(y,v5)). [hyper(4651,a,10251,a)]. 10253 L(K(x,y),z,u) \ T(w,K(y,v5)) = T(L(K(y,x),z,u) * w,K(y,v5)). [para(6039(a,1),10252(a,2,1))]. 10254 T(L(K(x,y),z,u) * w,K(x,v5)) = L(K(x,y),z,u) * T(w,K(x,v5)). [hyper(6045,a,10253,a),flip(a)]. 10255 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(236,a,180,a(flip),b,10254,a)]. 10256 (x * (y * L(x,z,u))) \ ((x * y) * L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(1674(a,1),9171(a,1,2))]. 10257 x \ R(x,y,L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(679,a,10256,a),flip(a)]. 10259 K(x,y) * K(y * L(x,z,u),x) = a(x,y,L(x,z,u)). [hyper(8772,a,10257,a)]. 10260 a(x,y * K(L(x,z,u),y),L(x,z,u)) = x \ R(x,y,T(L(x,z,u),y)). [para(9717(a,1),10257(a,1,2)),flip(a)]. 10261 K(x,y) * a(y,x,L(y,z,u)) = K(x * L(y,z,u),y). [hyper(5285,a,10259,a)]. 10262 T(T(x,K(y,z \ u)),(z \ u) \ y) = T(x,y / (((z \ 1) \ 1) \ u)). [hyper(236,a,4613,a(flip),b,9358,a(flip)),flip(a)]. 10263 T(x,y / (((z \ 1) \ 1) \ u)) = T(x,y / (z \ u)). [hyper(236,a,9355,a(flip),b,10262,a(flip))]. 10264 (x * (y * R(x,z,u))) \ ((x * y) * R(x,z,u)) = x \ R(x,y,R(x,z,u)). [para(1932(a,1),9462(a,1,2))]. 10265 x \ R(x,y,R(x,z,u)) = a(x,y,R(x,z,u)). [hyper(679,a,10264,a),flip(a)]. 10266 x \ R(x,y,R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(10264(a,1),679(a,1))]. 10267 K(x * R(y,z,u),y) * K(y,x) = a(y,x,R(y,z,u)). [hyper(9463,a,10265,a)]. 10268 x * a(x,y,R(x,z,u)) = R(x,y,R(x,z,u)). [para(10265(a,1),14(a,1,2))]. 10269 R(x,y,R(x,z,u)) \ x = a(x,y,R(x,z,u)) \ 1. [para(10265(a,1),6690(a,1,1)),flip(a)]. 10270 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(10109(a,2),10265(a,1,2))]. 10271 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(4416(a,1),10269(a,2,1))]. 10272 a(x,y,R(x,z,u)) * K(x,y * R(x,z,u)) = K(x,y). [para(10267(a,1),7538(a,1,1))]. 10273 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(7515(a,1),10267(a,1,1))]. 10274 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(10267(a,1),8628(a,1,1)),flip(a)]. 10275 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),10272(a,1,2,2))]. 10276 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(10266,a,10270,a)]. 10277 a(T(x,y),T(y,x),R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(236,a,7120,a(flip),b,10276,a(flip))]. 10278 a(x,y,R(T(x,y),z,u)) = a(R(x,z,u),y,x). [hyper(4417,a,10277,a)]. 10279 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(10109(a,1),10271(a,1,1))]. 10280 R(T(x,y),y,R(T(x,y),z,u)) \ T(x,y) = a(R(x,z,u),y,x) \ 1. [para(10278(a,1),10279(a,2,1))]. 10281 a(T(x,y),y,R(T(x,y),z,u)) \ 1 = a(R(x,z,u),y,x) \ 1. [hyper(236,a,10269,a(flip),b,10280,a(flip)),flip(a)]. 10282 (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(7260(a,1),8110(a,2,1,2))]. 10283 L(x * K(y,z),K(z,y),x * K(y,z)) = T(K(y,z) * x,T(x,K(y,z))). [para(5269(a,1),8202(a,1,2)),flip(a)]. 10284 L(x * K(y,z),K(z,y),x * K(y,z)) != u | T(K(y,z) * x,x) = u. [para(10283(a,2),7859(a,1))]. 10285 K(x \ ((y / z) \ u),L(z,w,v5)) != v6 | K(x \ ((z \ y) \ u),L(z,w,v5)) = v6. [para(8880(a,1),5124(a,1))]. 10286 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),8981(a,1,1,2))]. 10287 T(T(x,y) \ T((z * (1 / x)) \ z,y),x) = T(x,y) \ L(T(x,y),T(x,y) \ 1,z). [para(9932(a,1),9540(a,1,1,2))]. 10288 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * (K(x,T(y,z)) * T(x \ 1,z)). [para(7256(a,2),9645(a,2,2,1))]. 10289 K(L(K(x,y),z,u),w \ (v5 / x)) = K(L(K(x,y),z,u),w \ v5). [hyper(5130,a,9697,a),flip(a)]. 10290 K(x \ (y / ((z \ 1) * y)),z) = K(x \ z,z). [hyper(9805,a,9962,a)]. 10291 K(x \ R(y \ 1,y,z),y \ 1) = K(x \ (y \ 1),y \ 1). [para(3066(a,2),10290(a,1,1,2))]. 10292 K(x / (y * (z * x)),z \ 1) = K(y \ (z \ 1),z \ 1). [hyper(236,a,9802,a(flip),b,10291,a(flip)),flip(a)]. 10294 K(x \ ((y * z) \ z),y \ 1) = K(x \ (y \ 1),y \ 1). [hyper(236,a,9804,a(flip),b,10292,a(flip)),flip(a)]. 10296 K((x * (y * z)) \ u,L(z,w,v5)) != v6 | K((x * y) \ (z \ u),L(z,w,v5)) = v6. [para(10041(a,1),5124(a,1))]. 10297 L(K((x / y) \ x,z),x \ (x / (1 / (1 / y))),u) = K(1 / (x \ (x / y)),z). [para(6291(a,1),10197(a,1,1))]. 10298 L(K(x,y),z \ (z / (1 / (1 / x))),u) = K(1 / (z \ (z / x)),y). [para(65(a,1),10297(a,1,1,1))]. 10300 L(K(x,y),1 / (1 / (z \ (z / x))),u) = K(1 / (z \ (z / x)),y). [para(2754(a,2),10298(a,1,2))]. 10301 L(K(x,y),z \ (z / x),u) = K(1 / (z \ (z / x)),y). [hyper(236,a,7001,a(flip),b,10300,a(flip)),flip(a)]. 10302 L(K(x,y),z \ (z / x),u) = K((z / x) \ z,y). [hyper(236,a,6291,a(flip),b,10301,a)]. 10303 L(K(x,y),z \ (z / x),u) = K(x,y). [hyper(236,a,661,a(flip),b,10302,a)]. 10305 (x / y) \ (x * (K(y,z) * (x \ (x / y)))) = T(K(y,z),x \ (x / y)). [para(10303(a,1),755(a,1,1)),flip(a)]. 10306 (x / y) \ (x * (K(y,z) * (x \ (x / y)))) = T(K(y,z),1 / y). [hyper(236,a,6386,a(flip),b,10305,a)]. 10308 (x / y) \ (x * (K(y,z) * (x \ (x / y)))) != u | K(y,z) = u. [para(10306(a,2),8175(a,1))]. 10309 a(x,T(y,R(x,z,u)),R(x,w,v5)) = K(y * R(x,w,v5),x) * K(x,y). [para(7273(a,1),10273(a,1,2)),flip(a)]. 10310 a(x,T(y,R(x,z,u)),R(x,w,v5)) = a(x,y,R(x,w,v5)). [hyper(236,a,10267,a(flip),b,10309,a)]. 10312 a(x,y / R(x,z,u),R(x,w,v5)) = a(x,R(x,z,u) \ y,R(x,w,v5)). [para(121(a,1),10310(a,1,2)),flip(a)]. 10313 a(x,T(y,x),R(x,z,u)) = a(x,y,R(x,z,u)). [para(338(a,1),10310(a,1,2,2))]. 10314 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,u / R(x,y,z)). [para(10312(a,1),10275(a,1,1))]. 10315 a(x,R(x,y,z) \ u,R(x,y,z)) * K(x,u) = K(x,R(x,y,z) \ u). [hyper(236,a,7332,a(flip),b,10314,a)]. 10316 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(7981(a,1),10286(a,1,2))]. 10317 T(x \ ((y * (1 / x)) \ y),x) = T(x,z) \ L(T(x,z),T(x,z) \ 1,y). [para(6549(a,1),10287(a,1,1))]. 10318 T(x,y) \ L(T(x,y),T(x,y) \ 1,z) = x \ L(x,x \ 1,z). [hyper(236,a,4770,a(flip),b,10317,a(flip))]. 10320 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = z * T(x \ K(x,y),z). [para(10095(a,1),10288(a,2,2))]. 10321 L(x \ 1,T(K(x,y),z),z) * (K(x,y) * z) = (x \ K(x,y)) * z. [hyper(236,a,119,a(flip),b,10320,a)]. 10322 L(x \ 1,K(x,T(y,z)),z) * (K(x,y) * z) = (x \ K(x,y)) * z. [para(7256(a,2),10321(a,1,1,2))]. 10323 (x \ 1) * (K(x,y) * z) = (x \ K(x,y)) * z. [para(9496(a,1),10322(a,1,1))]. 10324 K(x,y) * ((x \ 1) * z) = (x \ K(x,y)) * z. [hyper(236,a,6121,a,b,10323,a(flip)),flip(a)]. 10325 ((x \ K(x,y)) * T(z,(x \ 1) * K(x,y))) / ((x \ 1) * K(x,y)) = L(z,K(x,y),x \ 1). [hyper(74,a,10323,a(flip),b,606,a(flip))]. 10327 ((x \ 1) * y) / ((x \ K(x,z)) * y) = K(z,x). [para(10323(a,1),6126(a,1,2))]. 10329 L(x,y \ 1,K(y,z)) = x. [hyper(4039,a,10324,a)]. 10330 L(x,y,K(y \ 1,z)) = x. [hyper(236,a,6999,a(flip),b,10329,a(flip)),flip(a)]. 10331 (K(x \ 1,y) * x) \ z = x \ (K(y,x \ 1) * z). [hyper(236,a,5276,a(flip),b,10330,a(flip)),flip(a)]. 10332 (K((x / y) \ 1,z) * x) / y = K((x / y) \ 1,z) * (x / y). [para(10330(a,1),494(a,1,2))]. 10333 R(K(x,y),y \ 1,z) = K(x,y). [hyper(236,a,6808,a(flip),b,10327,a(flip)),flip(a)]. 10334 (x \ 1) * ((x \ K(x,y)) \ z) = K(y,x) * z. [para(10327(a,1),245(a,1,1)),flip(a)]. 10336 (x \ 1) \ (K(y,x) * z) = (x \ K(x,y)) \ z. [hyper(80,a,10334,a)]. 10337 (x \ K(x,x \ y)) \ (y / x) = (x \ 1) \ (x \ y). [hyper(72,a,5020,a(flip),b,10334,a),flip(a)]. 10338 (x * K(1 / x,y)) \ z = x \ (K(y,x \ 1) * z). [para(8114(a,1),10331(a,1,1))]. 10339 (x \ K(x,(x \ 1) * y)) \ (y / x) = (x \ 1) \ (x \ y). [para(7094(a,2),10337(a,1,1,2))]. 10340 (x \ y) \ (K(z,(x \ y) \ 1) * u) = ((x \ y) * K(y \ x,z)) \ u. [para(6291(a,1),10338(a,1,1,2)),flip(a)]. 10341 (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(9714(a,1),10339(a,1,1,2))]. 10342 K((x / y) \ 1,z) * (x / y) = (K(y / x,z) * x) / y. [para(5699(a,1),10332(a,1,1,1)),flip(a)]. 10343 K((x / y) \ 1,z) * (x / y) = (x * K(x \ y,z)) / y. [para(7336(a,1),10342(a,2,1))]. 10344 (x * K(x \ y,z)) / y = K(y / x,z) * (x / y). [para(5699(a,1),10343(a,1,1)),flip(a)]. 10345 K(x * R(T(y,z),u,w),T(y,v5)) = K(x * R(y,u,w),T(y,v5)). [para(7890(a,1),10316(a,1,2))]. 10346 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(10345(a,1),5495(a,1,1,2))]. 10348 T(T(x * K(y * R(x,z,u),x),w),y) = R(T(x,w),y,R(T(x,w),z,u)). [para(5493(a,1),10346(a,1,1))]. 10349 R(T(x,y),z,R(T(x,y),u,w)) = R(T(x,y),z,R(x,u,w)). [hyper(236,a,6891,a(flip),b,10348,a(flip))]. 10350 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(10349(a,1),9433(a,2,1))]. 10351 (K(x,y) * z) * K(K(x,y) * (z * y),y \ 1) = ((y \ K(y,x)) \ z) * (y \ 1). [para(10336(a,1),7401(a,2,1))]. 10352 (K(x,y) * z) * K(z * y,y \ 1) = ((y \ K(y,x)) \ z) * (y \ 1). [para(9647(a,1),10351(a,1,2))]. 10354 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = ((x * y) * z) / (y * z). [para(7554(a,1),7617(a,2,1))]. 10355 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) = R(x,y,z). [hyper(236,a,30,a,b,10354,a)]. 10356 R(R(x,y,T(z,u)),y * T(z,u),K(u,z)) != w | R(x,y,z) = w. [para(10354(a,2),475(a,1))]. 10359 R(R(x,y \ z,T(y,y \ z)),z,K(y \ z,y)) = R(x,y \ z,y). [para(165(a,1),10355(a,1,2))]. 10361 R(x,y,T(z,x)) != u | R(x,y,z) = u. [para(8272(a,1),10356(a,1))]. 10363 K(x,y) != z | R(K(x,y),y,u) = z. [para(6817(a,1),10361(a,1))]. 10364 R(R(x,y / z,z),y,K(z \ y,z)) = R(x,z \ y,z). [para(9718(a,1),10359(a,1,1))]. 10365 ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R((x \ y) * K(x,x \ y),z,x \ y). [para(3688(a,1),7875(a,1,1))]. 10366 1 * ((x \ R(x,y,z)) / K(u,R(x,w,v5))) = K(R(x,w,v5),u) * (x \ R(x,y,z)). [para(146(a,1),8487(a,1,1))]. 10368 1 * ((x \ R(x,y,z)) * K(R(x,u,w),v5)) = K(R(x,u,w),v5) * (x \ R(x,y,z)). [para(7547(a,1),10366(a,1,2))]. 10369 K(R(x,y,z),u) * (x \ R(x,y,z)) = 1 * (x \ R(T(x,u),y,z)). [para(6933(a,1),10368(a,1,2)),flip(a)]. 10370 K(R(x,y,z),u) * (x \ R(x,y,z)) = x \ R(T(x,u),y,z). [hyper(236,a,11,a(flip),b,10369,a)]. 10371 K(x,R(y,z,u)) * (y \ R(T(y,x),z,u)) = y \ R(y,z,u). [hyper(5285,a,10370,a)]. 10372 K(x,y) * (x \ R(x,z,R(x,u,w))) = x \ R(T(x,y),z,R(x,u,w)). [para(8782(a,1),10370(a,1,1))]. 10373 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(4429(a,1),10371(a,1,2,2))]. 10374 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(9420(a,1),10371(a,1,1))]. 10375 x \ R(T(x,y),z,R(x,u,w)) = K(x,y) * a(x,z,R(x,u,w)). [para(10265(a,1),10372(a,1,2)),flip(a)]. 10376 T(x,y) \ R(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(5345,a,10375,a)]. 10377 ((x \ y) \ y) \ R((x \ y) \ y,z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(5973,a,10376,a)]. 10378 T(x,y) * a(x,z,R(x,u,w)) = R(T(x,y),z,R(x,u,w)). [para(10376(a,1),14(a,1,2))]. 10379 (x * T(K(y,z) \ u,K(y,z))) * K(y,z) = (x * (K(z,y) * u)) * K(y,T(z,u)). [para(8169(a,1),8890(a,2,2))]. 10380 (x * (K(y,z) * u)) * K(z,T(y,u)) = (x * (u * K(y,z))) * K(z,y). [para(8191(a,1),10379(a,1,1,2)),flip(a)]. 10381 K(x,T(T(T(x,y) * z,u),w)) = K(x,T(T(z * T(x,v5),u),w)). [hyper(236,a,9472,a(flip),b,9679,a)]. 10382 K(x,T(T(y * T(x,z),u),w)) = K(x,T(T(x * y,u),w)). [para(118(a,1),10381(a,1,2,1,1,1)),flip(a)]. 10383 K((((x * K(y,z)) * u) * w) / (u * w),z) = K(R(x,K(y,z) * u,w),z). [hyper(236,a,8512,a(flip),b,9879,a(flip))]. 10385 K(R(x * K(y,z),u,w),z) = K(R(x,K(y,z) * u,w),z). [para(30(a,2),10383(a,1,1))]. 10386 K(R(K(x,y) * z,u,w),y) = K(R(z,K(x,y) * u,w),y). [hyper(236,a,7879,a,b,10385,a(flip)),flip(a)]. 10387 R(K(x,y),z * (K(u,y) * x),w) = K(R(x,K(u,y) * z,w),y). [hyper(236,a,9460,a,b,10386,a(flip)),flip(a)]. 10388 K(x,(((y * K(z,x)) * u) * w) / (u * w)) = K(x,R(y,K(z,x) * u,w)). [hyper(236,a,8508,a(flip),b,9881,a(flip))]. 10390 K(x,R(y * K(z,x),u,w)) = K(x,R(y,K(z,x) * u,w)). [para(30(a,2),10388(a,1,2))]. 10391 K((x * ((y * z) \ y)) \ ((1 / ((y * z) \ y)) \ u),y \ (y * z)) = K(x \ u,z). [hyper(6478,a,10088,a)]. 10392 K((x * ((y * z) \ y)) \ ((1 / ((y * z) \ y)) \ u),z) = K(x \ u,z). [para(13(a,1),10391(a,1,2))]. 10393 K(((x * y) \ x) \ (y \ ((1 / ((x * y) \ x)) \ z)),y) = K(y \ z,y). [hyper(8568,a,10392,a)]. 10394 ((x \ y) \ R(x \ y,z,x \ y)) * (y / x) = R(y / x,z,x \ y). [para(4903(a,1),10365(a,2,1))]. 10395 a(x \ y,z,x \ y) * (y / x) = R(y / x,z,x \ y). [para(9038(a,1),10394(a,1,1))]. 10396 R(T(x / y,K(y,x)),z,x / y) = a(y \ x,z,y \ x) * (x / y). [hyper(236,a,8481,a,b,10395,a),flip(a)]. 10397 a(x / y,z,x / y) = a(y \ x,z,y \ x). [hyper(9858,a,10396,a)]. 10398 K(x * y,T(y,z)) * (T(y,z) \ T(T(y,z),x)) = T(y,z) \ R(T(y,z),x,y). [para(8389(a,1),10373(a,1,1))]. 10399 K(x * y,T(y,z)) * K(T(y,z),x) = T(y,z) \ R(T(y,z),x,y). [para(4829(a,2),10398(a,1,2))]. 10401 K(x * y,T(x,z)) * K(T(x,z),y) = T(x,z) \ R(T(x,z),y,x). [para(6036(a,1),10399(a,1,1))]. 10402 K(x * y,T(x,z)) * K(T(x,z),y) = x \ R(x,y,x). [hyper(236,a,7677,a(flip),b,10401,a)]. 10403 K(T(x,y),z) * K(x * z,T(x,y)) = x \ R(x,z,x). [hyper(2197,a,10402,a)]. 10405 x / (y * K(1 / z,z)) = K(z,1 / z) * (x / y). [hyper(236,a,4481,a(flip),b,7582,a(flip)),flip(a)]. 10407 K(x,1 / x) * (y / L(x,z,u)) = y / (1 / (1 / L(x,z,u))). [para(6621(a,1),10405(a,1,2)),flip(a)]. 10408 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(7535(a,1),9153(a,1,2))]. 10409 R(T(x,K(y,z)),K(z,y),x) \ T(K(z,y) * x,x) = K(z,T(y,x)). [hyper(236,a,8032,a(flip),b,10408,a)]. 10411 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),9180(a,1,2,1))]. 10413 K(L(x,y * z,u),L(z,y,x)) = K(x,L(L(z,y,x),x * y,u)). [para(28(a,2),10411(a,1,2))]. 10414 K(L(x,y * z,u),z) = K(x,L(L(z,y,x),x * y,u)). [hyper(236,a,8550,a(flip),b,10413,a(flip)),flip(a)]. 10415 K(L(x,y * z,u),z) = K(x,L(z,x * y,u)). [hyper(236,a,8284,a(flip),b,10414,a)]. 10418 K(L(x,(x \ y) * z,u),z) = K(x,L(z,y,u)). [para(14(a,1),10415(a,2,2,2))]. 10419 K(x,L(y * ((z * y) \ z),u,w)) = 1. [hyper(236,a,7040,a(flip),b,10418,a(flip))]. 10420 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(4227(a,1),10418(a,1,1,2))]. 10421 L(x,y,K(z,L(x,u,w))) = x. [para(10418(a,1),7400(a,1,3))]. 10422 K(x,a(y,z,z \ 1) \ 1) = 1. [hyper(236,a,6544,a(flip),b,10419,a(flip)),flip(a)]. 10424 T(x,a(y,z,z \ 1) \ 1) = x. [hyper(37,a,10422,a)]. 10425 T(x,R(y,z,z \ 1) \ y) = x. [hyper(6458,a,10424,a)]. 10426 x / (R(y,z,z \ 1) \ y) = (R(y,z,z \ 1) \ y) \ x. [hyper(2346,a,10425,a),flip(a)]. 10427 T(R(x,y,y \ 1) \ x,z) = R(x,y,y \ 1) \ x. [hyper(35,a,10425,a)]. 10428 x * (((R(y,z,z \ 1) \ y) \ u) \ u) = x * (R(y,z,z \ 1) \ y). [para(10427(a,1),257(a,1,2)),flip(a)]. 10429 K(L(x,T(y * (x \ z),y),u),y) = K(x,L(R(y,x \ z,y),z,u)). [hyper(7236,a,10420,a)]. 10431 K(x * R(y,z,u),y) * K(y,K(w,x)) = T(K(x * R(y,z,u),T(y,x)),w). [para(9413(a,1),9427(a,1,2))]. 10432 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),T(y,x)),w). [para(7923(a,1),10431(a,1,2))]. 10434 K(x * R(y,z,u),y) * K(x,K(y,w)) = T(K(x * R(y,z,u),y),w). [para(9356(a,1),10432(a,2,1))]. 10435 a(x,y,R(x,z,u)) * T(K(y,x),w) = T(K(y * R(x,z,u),x),w). [hyper(236,a,10274,a(flip),b,10434,a(flip)),flip(a)]. 10436 T(K(x * R(y,z,u),y),w) * T(K(y,x),w) = a(y,x,R(y,z,u)). [hyper(9029,a,10435,a)]. 10437 (x * (y * z)) \ ((x * K(z,y)) * (y * z)) = L(K(z,y),T(x,y * z),y * z). [hyper(72,a,119,a(flip),b,9604,a)]. 10438 K(x,((y / z) * (z * x)) \ (y * (z * x))) = L(K(x,z),T(y,z * x),z * x). [hyper(9973,a,10437,a)]. 10439 K(x,((y / z) * z) \ (x \ (y * (z * x)))) = L(K(x,z),T(y,z * x),z * x). [hyper(10005,a,10438,a)]. 10440 L(K(x,y),T(z,y * x),y * x) = K(x,z \ (x \ (z * (y * x)))). [para(16(a,1),10439(a,1,2,1)),flip(a)]. 10441 L(K(x,y),T(z,y * x),y * x) = K(x,L(y,x,z)). [hyper(236,a,9167,a(flip),b,10440,a)]. 10442 K(x,L(y,x,((y * x) * z) / (y * x))) = L(K(x,y),z,y * x). [para(162(a,1),10441(a,1,2)),flip(a)]. 10443 (x * (y * z)) * K(z,L(y,z,x)) = (y * z) * T(x * K(z,y),y * z). [para(10441(a,1),9604(a,1,2))]. 10444 (x * y) * T(z * K(y,x),x * y) = z * (y * x). [hyper(236,a,7575,a(flip),b,10443,a(flip))]. 10445 (x * K(y,z)) * (z * y) = x * (y * z). [hyper(220,a,10444,a)]. 10448 (x / (y * z)) * K(y,z) = x / (z * y). [hyper(74,a,16,a(flip),b,10445,a),flip(a)]. 10449 (x * (y * z)) \ (((x * K(y,z)) * z) * y) = a(x * K(y,z),z,y). [para(10445(a,1),24(a,2,1)),flip(a)]. 10451 (x / y) * K(z,z \ y) = x / ((z \ y) * z). [para(14(a,1),10448(a,1,1,2))]. 10452 (x / y) * K(y / z,z) = x / (z * (y / z)). [para(16(a,1),10448(a,1,1,2))]. 10454 K(x / (y * z),y) != u | K(x / (z * y),y) = u. [para(10448(a,1),7471(a,1,1))]. 10455 K(x,y / (z * x)) != u | K(x,y / (x * z)) = u. [para(10448(a,1),8115(a,1,2))]. 10456 K(x,y / (x * z)) != u | K(x,y / (z * x)) = u. [para(10448(a,1),8499(a,1,2))]. 10457 (x / (y / z)) * K(y,y \ (y / z)) = x / ((y / z) * K(z \ 1,y)). [para(5151(a,1),10451(a,2,2))]. 10458 (x / ((y \ z) * y)) * (y \ z) = (x / z) * (z / y). [para(10451(a,1),7570(a,1,1))]. 10459 K(x / y,(z / (y * (x / y))) * u) = K(x / y,(z / x) * u). [para(10452(a,1),8116(a,1,2,1))]. 10460 (x / (y * z)) * (z \ (z * y)) = (x / (z * y)) * ((z * y) / z). [para(13(a,1),10458(a,1,1,2,1))]. 10461 K(x / y,((x / (x / y)) / x) * z) = K(x / y,(y / x) * z). [para(4341(a,2),10459(a,1,2,1))]. 10462 (x / (y * z)) * ((y * z) / y) = (x / (z * y)) * z. [para(13(a,1),10460(a,1,2)),flip(a)]. 10463 (x * (y * z)) \ ((x * (z * K(y,z))) * y) = a(x * K(y,z),z,y). [para(7569(a,1),10449(a,1,2,1))]. 10464 (x * (y * z)) \ ((x * z) * T(y,z)) = a(x * K(y,z),z,y). [para(7746(a,1),10463(a,1,2))]. 10465 x / ((y / z) * K(z \ 1,y)) = (x / (y / z)) * K(y,z \ 1). [para(6404(a,1),10457(a,1,2)),flip(a)]. 10467 K((x / y) \ z,R((x / y) \ 1,x / y,y)) = K(((x / y) \ 1) * z,y / x). [hyper(236,a,5239,a(flip),b,9683,a)]. 10468 K((x / y) \ z,T(y / x,x / y)) = K(((x / y) \ 1) * z,y / x). [para(633(a,1),10467(a,1,2))]. 10469 K(((x / y) \ 1) * z,y / x) = K((x / y) \ z,y / x). [hyper(5445,a,10468,a),flip(a)]. 10470 K(((x / y) \ 1) * z,y / x) = K((y \ x) \ z,y / x). [hyper(236,a,9659,a(flip),b,10469,a)]. 10471 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(7823,a,9777,a),flip(a)]. 10472 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(236,a,9142,a(flip),b,9795,a(flip)),flip(a)]. 10473 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(6799(a,1),9969(a,1,2))]. 10474 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(236,a,9420,a(flip),b,10473,a(flip)),flip(a)]. 10475 K(x,y) * L(K(y,x) * z,K(x,y),u * K(y,x)) = K(x,y) * (u \ ((u / K(x,y)) * z)). [para(7547(a,1),10164(a,1,2,3))]. 10476 T(x * L(K(y,z),u,w),K(y,v5)) = T(x,K(y,v5)) * L(K(y,z),u,w). [para(119(a,1),10255(a,1,1))]. 10477 ((x \ K(x,y)) * T(z,x \ K(x,y))) / ((x \ 1) * K(x,y)) = L(z,K(x,y),x \ 1). [para(4033(a,1),10325(a,1,1,2,2))]. 10478 (x * (y \ K(y,z))) / ((y \ 1) * K(y,z)) = L(x,K(y,z),y \ 1). [para(119(a,1),10477(a,1,1))]. 10479 (x * (y \ K(y,z))) / (y \ K(y,z)) = L(x,K(y,z),y \ 1). [para(4033(a,1),10478(a,1,2))]. 10480 L(x,K(y,z),y \ 1) = x. [hyper(304,a,10479,a),flip(a)]. 10482 L(x,K((y \ (y / z)) \ 1,u),y \ (y / ((z \ 1) \ 1))) = x. [para(2775(a,1),10480(a,1,3))]. 10483 L(x,K((y / z) \ y,u),y \ (y / ((z \ 1) \ 1))) = x. [para(6269(a,1),10482(a,1,2))]. 10484 L(x,K(y,z),u \ (u / ((y \ 1) \ 1))) = x. [para(65(a,1),10483(a,1,2,1))]. 10485 L(x,K(y,z),u \ (u / y)) = x. [hyper(236,a,4683,a(flip),b,10484,a(flip)),flip(a)]. 10487 ((x \ (x / y)) * K(y,z)) \ u = K(z,y) * ((x \ (x / y)) \ u). [hyper(236,a,5277,a(flip),b,10485,a(flip)),flip(a)]. 10488 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(10345(a,1),10350(a,1,2,1))]. 10489 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(5204(a,1),10488(a,1,2))]. 10491 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(7256(a,2),10374(a,1,2,2,1))]. 10492 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K(u \ (L(x,y,z) * w),T(x,u)). [hyper(236,a,9939,a(flip),b,10471,a)]. 10494 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((L(x,y,z) * w) / u,x). [hyper(236,a,8068,a(flip),b,10492,a)]. 10495 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(5260(a,1),10491(a,1,2))]. 10496 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(10495(a,1),20(a,1)),flip(a)]. 10497 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K((1 / x) \ 1,z). [para(5463(a,1),6650(a,1,1,2))]. 10498 (K(x,y) * (K(x,z) * u)) / (K(x,y) * u) = K(x,z). [hyper(236,a,661,a(flip),b,10497,a)]. 10500 K(x,y) * (K(x,z) * u) = K(x,z) * (K(x,y) * u). [para(10498(a,1),16(a,1,1))]. 10502 K(x,y) * (K(x,K(y,z)) * u) = K(x,T(y,z)) * u. [hyper(9157,a,10500,a),flip(a)]. 10503 K(x,y) * (K(y,z) * (K(y,x) * u)) = K(y,z) * u. [hyper(5285,a,10500,a)]. 10504 K(x,y) * (K(y,z) * (K(y,x) * u)) != w | K(y,z) * u = w. [para(10500(a,1),5271(a,1,2)),flip(b)]. 10505 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(z,K(x,y)) * w). [para(7923(a,2),10500(a,1,1))]. 10506 K(x,y) * (K(x,K(y,z)) * u) != w | K(x,T(y,z)) * u = w. [para(10500(a,1),9157(a,1))]. 10507 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(10502(a,1),4635(a,1,1,2,1)),flip(a)]. 10508 K(x,y) * (K(y,K(x,z)) * u) = K(x,T(y,z)) * u. [para(7919(a,1),10502(a,1,2,1))]. 10510 K(x,y) * (K(z,x) * u) = K(z,x) * (K(x,y) * u). [para(5268(a,1),10503(a,1,2,2)),flip(a)]. 10511 K(x,K(y,z)) \ (K(y,x) \ u) = K(y,T(x,z)) \ u. [hyper(546,a,10508,a),flip(a)]. 10512 K(x,T(y,z)) * (K(y,x) * u) = K(y,K(x,z)) * u. [hyper(236,a,10503,a(flip),b,10508,a(flip))]. 10513 T(x,y) \ (x * (K(x,z) * u)) = K(x,z) * (K(y,x) * u). [hyper(236,a,5203,a,b,10510,a),flip(a)]. 10514 K(x,y) * (K(z,x) * (K(y,x) * u)) = K(z,x) * u. [para(5268(a,1),10510(a,2,2))]. 10515 K(x,y) * (K(z,y) * u) = K(z,y) * (K(x,y) * u). [hyper(5285,a,10514,a)]. 10516 (((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(10515(a,1),1523(a,1,1,1,1))]. 10517 T(x,y) \ (T(x,z) * u) = K(x,z) * (K(y,x) * u). [para(4856(a,1),10513(a,1,2))]. 10518 K(x,y) * (K(z,x) * u) != w | K(z,x) * (K(x,y) * u) = w. [para(10513(a,1),5370(a,1))]. 10520 K(x,K(y,z)) * (K(z,u) * w) = K(z,u) * (K(x,K(y,z)) * w). [para(7923(a,2),10505(a,2,2,1))]. 10521 K(x,y) * (K(z,K(u,x)) * (K(x,y) \ w)) = K(z,K(u,x)) * w. [hyper(307,a,10520,a),flip(a)]. 10522 K(x,y) * (K(z,K(x,u)) * (K(x,y) \ w)) = K(u,K(z,x)) * w. [para(7923(a,2),10521(a,1,2,1))]. 10529 (((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(7773(a,1),8376(a,2,1))]. 10530 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),(x \ u) \ 1). [hyper(236,a,10244,a(flip),b,8984,a)]. 10532 K(L(x,y,z),u \ ((1 / x) \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(236,a,6408,a(flip),b,10530,a)]. 10533 K(L(x,y,z),u \ (x * L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [para(6249(a,1),10532(a,1,2,2))]. 10534 K(x,y \ 1) * T((x \ (y \ x)) * z,K(x,y)) = ((y \ x) / x) * T(z,K(y \ x,x)). [para(9320(a,1),9786(a,1,2))]. 10535 T(K(x,y \ 1) * ((x \ (y \ x)) * z),K(x,y)) = ((y \ x) / x) * T(z,K(y \ x,x)). [hyper(236,a,8935,a,b,10534,a(flip)),flip(a)]. 10536 ((x \ y) / y) * T(z,K(x \ y,y)) = T(((x \ y) / y) * z,K(y,x)). [para(5780(a,1),10535(a,1,1)),flip(a)]. 10537 T(((x \ y) / y) * z,K(y,x)) = ((x \ y) / y) * T(z,K(y,x)). [para(9320(a,1),10536(a,1,2)),flip(a)]. 10538 T((((x / y) \ x) / x) * z,K(x,x / y)) = (y / x) * T(z,K(x,x / y)). [para(65(a,1),10537(a,2,1,1))]. 10539 T((((x / y) \ x) / x) * z,K(x,x / y)) = (y / x) * T(z,K(y,x)). [para(9324(a,1),10538(a,2,2))]. 10540 T((x / y) * z,K(y,y / x)) = (x / y) * T(z,K(x,y)). [para(65(a,1),10539(a,1,1,1,1))]. 10541 (x / y) * T(z,K(x,y)) != u | T((x / y) * z,K(x,y)) = u. [para(10540(a,1),9366(a,1))]. 10542 K(x,T(y / ((K(x,z) * u) * w),v5)) = K(x,T(y / (u * w),v5)). [hyper(236,a,9124,a(flip),b,9880,a)]. 10543 K(x,T(y / ((z * T(x,u)) * w),v5)) = K(x,T(y / ((z * x) * w),v5)). [para(8156(a,1),10542(a,1,2,1,2,1))]. 10544 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (((x / (1 / (x \ y))) / x) \ 1) \ 1. [hyper(236,a,9557,a(flip),b,10102,a(flip)),flip(a)]. 10545 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (1 / ((x / ((x \ y) \ 1)) / x)) \ 1. [para(2774(a,2),10544(a,2,1))]. 10546 T((x / (1 / (x \ y))) / x,1 / (y / x)) = (x / ((x \ y) \ 1)) / x. [hyper(236,a,65,a(flip),b,10545,a)]. 10549 (x / ((x \ y) \ 1)) / x = x \ (x / ((y / x) \ 1)). [hyper(236,a,7029,a(flip),b,10546,a(flip))]. 10550 x * ((x / ((x \ y) \ 1)) / x) = x / ((y / x) \ 1). [para(10549(a,2),14(a,1,2))]. 10551 (((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(236,a,7547,a(flip),b,10529,a)]. 10552 ((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(7773(a,1),10551(a,1,1,1))]. 10553 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(1991(a,2),10552(a,1,1))]. 10554 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(3138(a,1),10553(a,1,1,1,1,2))]. 10555 R((x * y) / x,z,u) * x = (x * (K(w,y) * R(y,z,u))) * K(y,w). [para(9497(a,1),10554(a,1,1,1))]. 10556 (x * (K(y,z) * R(z,u,w))) * K(z,y) = x * R(z,u,w). [hyper(839,a,10555,a),flip(a)]. 10558 (x * (R(y,z,u) * K(w,y))) * K(y,w) = x * R(y,z,u). [para(3147(a,2),10556(a,1,1,2))]. 10559 L(K(x,y),R(x,z,u),w) = K(x,y). [hyper(8807,a,10558,a)]. 10560 (x * (K(y,y \ 1) * (z * u))) \ ((K(y,y \ 1) * (x * z)) * u) = a(x,K(y,y \ 1) * z,u). [para(3584(a,1),4600(a,1,1,2))]. 10561 K(x,(y * z) / (y * (u \ z))) * (y * ((u \ z) * T(T(u,u \ z),x))) = y * z. [para(442(a,1),5541(a,1,2))]. 10562 K(x,(y * z) / (y * (u \ z))) * (y * (T(u,x) * (u \ z))) = y * z. [para(180(a,1),10561(a,1,2,2))]. 10563 K(x,(y * z) / (y * (u \ z))) * (y * (K(u,x) * z)) = y * z. [para(4857(a,1),10562(a,1,2,2))]. 10564 (x * y) / (x * (K(z,u) * y)) != w | K(u,(x * y) / (x * (z \ y))) = w. [para(10563(a,1),296(a,1,1)),flip(b)]. 10565 K(x,y) * (R(y,z,u) * (K(y,x) * w)) = R(y,z,u) * w. [para(1490(a,1),10563(a,1,1,2))]. 10566 K((x * y) / (x * (z \ y)),u) = (x * (K(z,u) * y)) / (x * y). [para(10563(a,1),5266(a,1,2)),flip(a)]. 10568 K(x,(y * (K(z,x) * u)) \ w) = K(x,(y * u) \ w). [para(10563(a,1),8820(a,1,2,1)),flip(a)]. 10569 K(x,y \ (z * (K(u,x) * w))) = K(x,y \ (z * w)). [para(10563(a,1),8830(a,1,2,2)),flip(a)]. 10570 R(K(x,y),z * (K(u,y) * w),v5) = R(K(x,y),z * w,v5). [para(10563(a,1),8917(a,1,2)),flip(a)]. 10571 R(K(x,y),z * (K(u,x) * w),v5) = R(K(x,y),z * w,v5). [para(10563(a,1),9525(a,1,2)),flip(a)]. 10572 K(x,y / ((z * (K(u,x) * w)) * v5)) = K(x,y / ((z * w) * v5)). [para(10563(a,1),9873(a,1,2,2,1)),flip(a)]. 10573 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(440(a,1),10569(a,1,2))]. 10574 K(x,y \ (z * (u / x))) = K(x,y \ (z * (x \ u))). [para(4968(a,1),10569(a,1,2,2,2)),flip(a)]. 10575 K(x,(y * (z * (u / x))) \ (z * (x \ u))) = K(x,(z * (u / x)) \ (y \ (z * (u / x)))). [hyper(236,a,7696,a(flip),b,10574,a(flip))]. 10576 R(x,y,z) * (K(x,u) * w) = K(x,u) * (R(x,y,z) * w). [hyper(5285,a,10565,a),flip(a)]. 10577 R(x,y,z) * (K(u,x) * w) = K(u,x) * (R(x,y,z) * w). [para(5268(a,1),10565(a,1,2,2)),flip(a)]. 10578 R(K(x,y),z * x,u) = K(R(x,K(w,y) * z,u),y). [hyper(236,a,10387,a(flip),b,10570,a(flip))]. 10580 K(R(x,K(y,z) * u,w),z) = K(R(x,u,w),z). [hyper(236,a,9458,a(flip),b,10578,a(flip))]. 10581 R(K(x,y),z * x,u) != w | K(R(x,z,u),y) = w. [para(10578(a,2),9521(a,1))]. 10582 T(x,R(y,K(z,x) * u,w)) = 1 / (x \ K(R(y,u,w),x)). [para(10580(a,1),5013(a,2,2,2))]. 10583 K(x,R(y,x,z)) != u | K(R(x,y,z),y) = u. [para(6824(a,1),10581(a,1))]. 10584 R(K(x,y),z * (u * K(w,x)),v5) = R(K(x,y),z * u,v5). [para(7337(a,1),10571(a,1,2,2))]. 10585 K(x,y) * (R(x,z,u) \ 1) = R(x,z,u) \ K(x,y). [hyper(72,a,56,a(flip),b,10576,a),flip(a)]. 10586 (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(72,a,10585,a,b,1461,a)]. 10588 R(K(x,y),R(y,z,u),w) = K(x,y). [hyper(6052,a,10577,a)]. 10589 R(x,y,x) * (K(z,x) * (x \ u)) = K(z,x) * ((u / x) * R(x,y,x)). [para(8360(a,1),10577(a,2,2))]. 10590 R(K(x,y),R(x,z,u),w) = (v5 * K(y,x)) \ v5. [para(10588(a,1),8591(a,1,1,2)),flip(a)]. 10591 R(K(x,y),R(x,z,u),w) = K(x,y). [hyper(236,a,7647,a(flip),b,10590,a)]. 10592 K(x,(R(x,y,z) * u) / w) = K(x,R(x,y,z) / (w / u)). [hyper(236,a,6812,a(flip),b,10591,a(flip)),flip(a)]. 10593 T(x,R(y,K(z,x) * u,w)) != v5 | T(x,R(y,u,w)) = v5. [para(10582(a,2),5014(a,1))]. 10594 R(K(x,y),z * y,u) = K(x,R(y * K(w,x),z,u)). [hyper(236,a,9517,a(flip),b,10584,a(flip))]. 10596 K(x,R(y * K(z,x),u,w)) = K(x,R(y,u,w)). [hyper(236,a,9515,a(flip),b,10594,a(flip))]. 10597 K(x,R(y * K(x,z),u,w)) = K(x,R(y,u,w)). [para(7540(a,1),10596(a,1,2,1)),flip(a)]. 10598 K(x,R(K(y,x) * z,u,w)) = K(x,R(z * K(y,x),u,w)). [para(7891(a,1),10597(a,1,2,1)),flip(a)]. 10599 K(x,R(K(y,x) * z,u,w)) = K(x,R(z,K(y,x) * u,w)). [hyper(236,a,10390,a(flip),b,10598,a)]. 10600 x * K(x,R(y,K(z,x) * u,w)) = T(x,R(K(z,x) * y,u,w)). [para(10599(a,1),4887(a,2,2)),flip(a)]. 10601 L(K(x,T(T(y,z),u * z)),z,u) = K((u * z) / (u * (x \ z)),y). [hyper(236,a,9151,a,b,10566,a),flip(a)]. 10602 T(x,R(K(y,x) * z,u,w)) = T(x,R(z,K(y,x) * u,w)). [hyper(4890,a,10600,a),flip(a)]. 10603 T(x,R(x \ y,K(z,x) * u,w)) = T(x,R(T(x,z) \ y,u,w)). [para(5204(a,1),10602(a,1,2,1)),flip(a)]. 10604 T(x,R(T(x,y) \ z,u,w)) = T(x,R(x \ z,u,w)). [hyper(10593,a,10603,a),flip(a)]. 10606 T(x,R(y / T(x,z),u,w)) = T(x,R(x \ y,u,w)). [hyper(7150,a,10604,a)]. 10607 K((x * y) / (x * (z \ y)),u) = (x * y) / (x * (K(u,z) * y)). [hyper(236,a,10166,a(flip),b,10601,a(flip))]. 10608 K(x,y) * ((z / y) * R(y,u,y)) = R(y,u,y) * (T(y,x) \ z). [para(5204(a,1),10589(a,1,2)),flip(a)]. 10609 K((x * y) / (x * (z \ y)),u) = K(z,(x * y) / (x * (u \ y))). [hyper(10564,a,10607,a(flip)),flip(a)]. 10610 K(x,(y * z) / (y * (u \ z))) = (y * (K(x,u) * z)) / (y * z). [hyper(236,a,10566,a(flip),b,10609,a(flip))]. 10611 K(x,((y * x) * z) / ((y * x) * (y \ z))) = L(K(x,y),z,y * x). [hyper(236,a,10158,a(flip),b,10610,a)]. 10612 K(x,(y * z) / (y * (u \ z))) * (y * z) = y * (K(x,u) * z). [para(10610(a,2),16(a,1,1))]. 10615 K(x,(y * (K(z,x) * u)) \ (y * (u * w))) = K(x,L(w,K(z,x) * u,y)). [hyper(236,a,7423,a(flip),b,10573,a(flip))]. 10617 K(x,L(y,K(z,x) * u,w)) = K(x,(w * u) \ (w * (u * y))). [hyper(236,a,10568,a(flip),b,10615,a(flip))]. 10619 K(x,L(y,K(z,x) * u,w)) = K(x,L(y,u,w)). [para(28(a,2),10617(a,2,2))]. 10620 K(x,L(y,K(x,z) \ u,w)) = K(x,L(y,u,w)). [para(5260(a,2),10619(a,1,2,2))]. 10621 K(x,L(y,K(x,z) * u,w)) = K(x,L(y,u,w)). [para(5268(a,1),10619(a,1,2,2)),flip(a)]. 10622 K(L(x,K(y,z) * u,w),y) = (y \ 1) / (y \ K(y,L(x,u,w))). [para(10621(a,1),5262(a,1,2,2)),flip(a)]. 10623 K(L(x,K(y,z) * u,w),y) = K(L(x,u,w),y). [hyper(236,a,5262,a(flip),b,10622,a)]. 10624 K(L(x,T(y,z),u),z) = K(L(x,y,u),z). [para(4845(a,1),10623(a,1,1,2)),flip(a)]. 10625 K(x,L(R(y,x \ z,y),z,u)) = K(L(x,y * (x \ z),u),y). [hyper(236,a,10429,a(flip),b,10624,a(flip)),flip(a)]. 10626 K(x,(y * (z / x)) \ (u \ (y * (z / x)))) = K(x,(u * (y * z)) \ ((y * (x \ z)) * x)). [hyper(236,a,10163,a(flip),b,10575,a(flip))]. 10627 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * (u / x))). [hyper(7828,a,10626,a),flip(a)]. 10628 K(x,(y * (z * u)) \ ((z * (x \ u)) * x)) = K(x,T(y \ 1,z * u)). [hyper(236,a,9444,a(flip),b,10627,a)]. 10629 K(x,T((y / (z * u)) \ 1,z * u)) = K(x,y \ ((z * (x \ u)) * x)). [para(16(a,1),10628(a,1,2,1)),flip(a)]. 10630 K(x,y \ ((z * (x \ u)) * x)) = K(x,((z * u) \ y) \ 1). [hyper(236,a,7350,a(flip),b,10629,a(flip))]. 10631 K(x,y \ ((z * (x \ u)) * x)) = K(x,y \ (z * u)). [hyper(236,a,6408,a(flip),b,10630,a)]. 10632 K(x,x \ (y * z)) = K(x,y * (x \ z)). [hyper(5139,a,10631,a),flip(a)]. 10633 K(x,y \ ((x \ y) * z)) = K(x,x \ z). [hyper(236,a,8845,a(flip),b,10631,a(flip))]. 10634 K(x,x \ (y * z)) != u | K(x,y * (x \ z)) = u. [para(10631(a,1),5139(a,1))]. 10635 K(x,x \ (y * z)) = K(x,y * (z / x)). [hyper(236,a,7468,a,b,10632,a)]. 10636 x * K(x,y * (x \ z)) = T(x,x \ (y * z)). [para(10632(a,1),4887(a,2,2)),flip(a)]. 10637 (x * K(y,z * (y \ u))) \ x = K(y \ (z * u),y). [para(10632(a,1),7549(a,1,1,2))]. 10638 L(K(x,x \ y),y,x \ z) = K(x,x \ y). [hyper(8825,a,10633,a)]. 10639 K(x,x \ ((x \ y) \ z)) = K(x,y \ z). [para(14(a,1),10633(a,1,2,2)),flip(a)]. 10640 K(x,x \ (y * (z * x))) = K(x,y * z). [para(15(a,1),10635(a,2,2,2))]. 10641 K(x,K(y,z * (u * y))) = K(x,K(y,z * u)). [para(10640(a,1),9208(a,1,2)),flip(a)]. 10642 L(K(x,x \ y),y,z) = K(x,x \ y). [para(13(a,1),10638(a,1,3))]. 10643 K(x,(y * x) \ z) = K(x,x \ (y \ z)). [hyper(9929,a,10642,a)]. 10644 K(x,y \ (x \ z)) = K(x,x \ (y \ z)). [hyper(9165,a,10642,a)]. 10645 K(x \ y,(x \ y) \ z) = K(x \ y,y \ (x * z)). [hyper(236,a,6595,a(flip),b,10642,a(flip))]. 10646 a(x,y,K(z \ y,z)) = 1. [hyper(71,a,10642,a(flip),b,10179,a),flip(a)]. 10647 L(K(x \ y,x),y,z) = K(x \ y,x). [hyper(33,a,10646,a)]. 10648 K(x \ (y \ (x * z)),y) = K(y \ z,y). [hyper(8569,a,10647,a)]. 10649 K((x * y) \ z,y) = K(y \ (x \ z),y). [hyper(6731,a,10647,a)]. 10652 K((x \ y) \ z,x \ y) = K(y \ (x * z),x \ y). [hyper(236,a,6568,a(flip),b,10647,a(flip))]. 10654 K(x,x \ ((y * (x \ z)) \ u)) = K(x,(y * z) \ u). [hyper(236,a,10008,a(flip),b,10644,a(flip))]. 10655 K(x,x \ (y \ (x * z))) = K(x,y \ z). [para(13(a,1),10644(a,1,2,2)),flip(a)]. 10656 K(x,y \ (x \ (y * z))) = K(x,x \ z). [para(13(a,1),10644(a,2,2,2))]. 10657 L(K(x \ y,x),y,z) = K(u \ (x \ (u * y)),x). [hyper(236,a,10647,a,b,10648,a),flip(a)]. 10658 K(x \ (y \ z),y) = K(y \ (x \ z),y). [para(14(a,1),10648(a,1,1,2,2))]. 10659 (x * y) * K(z \ y,z) = x * ((z \ y) * z). [para(10648(a,1),8668(a,1,2))]. 10660 K((x * y) \ z,x) = K(x \ (y \ z),x). [hyper(236,a,6511,a(flip),b,10649,a(flip)),flip(a)]. 10661 K(x \ ((y / x) \ z),x) = K(y \ z,x). [para(16(a,1),10649(a,1,1,1)),flip(a)]. 10662 (x * y) * K(z,z \ y) = x * (z * (y / z)). [para(10656(a,1),8660(a,1,2))]. 10663 K(x \ ((x \ y) \ z),x) = K(y \ z,x). [hyper(236,a,8379,a(flip),b,10658,a(flip))]. 10664 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(1206(a,1),10660(a,1,1,1)),flip(a)]. 10665 K((x \ y) \ z,y / x) = K(y \ (x * z),y / x). [para(5765(a,1),10661(a,1,1))]. 10666 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(4563(a,1),10663(a,1,1,2,1))]. 10667 T(x,x \ (y * z)) = T(x,y * (x \ z)). [hyper(4890,a,10636,a),flip(a)]. 10669 K(x,K(y / z,u * z)) = K(x,K(y / z,u * y)). [para(7687(a,1),10641(a,1,2)),flip(a)]. 10670 R(x,y,K(z \ y,z)) = x. [hyper(792,a,10659,a)]. 10671 (x * (y * z)) * K(y,z) = x * ((z \ (y * z)) * z). [para(4996(a,1),10659(a,1,2))]. 10673 R(x,y / z,z) = R(x,z \ y,z). [hyper(236,a,10364,a(flip),b,10670,a(flip))]. 10674 R(x,y * z,K(z,y)) = x. [para(13(a,1),10670(a,1,3,1))]. 10675 R(x,y,T(z,y)) = R(x,y,z). [hyper(6769,a,10674,a)]. 10676 (x * (y * z)) * K(z,y) = x * (z * y). [para(10674(a,1),474(a,1,1)),flip(a)]. 10678 (x * T(y,z)) / (y * z) = R(x / z,z,y). [hyper(236,a,486,a(flip),b,10675,a(flip)),flip(a)]. 10679 R(x,y,z / y) = R(x,y,y \ z). [para(121(a,1),10675(a,1,3)),flip(a)]. 10680 R(x,y \ z,(y \ z) \ z) = R(x,y \ z,y). [para(120(a,1),10675(a,1,3))]. 10681 R(x,y,z) * (z * y) = (x * y) * T(z,y). [para(10675(a,1),465(a,1,1))]. 10683 R(x,y,z * K(y,z)) = R(x,y,z). [para(4853(a,1),10675(a,1,3)),flip(a)]. 10684 R(x,y,K(z,T(u,y))) = R(x,y,K(z,u)). [para(7256(a,2),10675(a,1,3))]. 10685 a(x,y * K(L(x,z,u),y),L(x,z,u)) = x \ R(x,y,L(x,z,u)). [para(10675(a,1),10260(a,2,2))]. 10687 R(K(x,(y / z) / u),z \ y,z) = K(x,y / (u * z)). [hyper(236,a,6811,a(flip),b,10673,a(flip))]. 10690 R(x,T(y,z),z) = R(x,y,z). [hyper(9150,a,10683,a)]. 10691 R(x,T(K(y,z),u),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(8720(a,1),10690(a,1,2))]. 10692 K(x,L(y,x,z)) = K(x,y). [hyper(8518,a,10676,a)]. 10693 (x / (y * z)) * (z * y) = x * K(z,y). [hyper(303,a,10676,a),flip(a)]. 10694 (x * (y * z)) \ (x * (z * y)) != u | K(z,y) = u. [para(10676(a,1),283(a,1,2)),flip(b)]. 10696 K(L(x,y,z),y) = K(x,y). [hyper(236,a,8909,a,b,10692,a(flip)),flip(a)]. 10698 L(K(x,y),z,y * x) = K(x,y). [hyper(236,a,10442,a(flip),b,10692,a(flip)),flip(a)]. 10699 T(x,L(y,x,z)) = x * K(x,y). [para(10692(a,1),4887(a,2,2))]. 10702 K(L(x,y,z),T(y,u)) = (K(y,x) * u) \ u. [para(10692(a,1),7591(a,1,1,1)),flip(a)]. 10703 L(K(x,y),T(y,z) * u,w) = K(L(x,y,v5),L(y,u,w)). [para(10692(a,1),9110(a,1,1))]. 10706 K(L(x,y,z),y) = y / T(y,x). [hyper(236,a,4826,a(flip),b,10696,a)]. 10708 K((x * (y * z)) \ ((x * y) * u),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)). [para(460(a,1),10696(a,1,1))]. 10710 K(x,y) * ((y * x) * z) = (y * x) * (K(x,y) * z). [para(10698(a,1),10157(a,1,1))]. 10711 T(x,L(y,x,z)) = T(x,y). [hyper(236,a,4887,a,b,10699,a)]. 10713 T(x,y \ (x \ (y * z))) = T(x,x \ z). [hyper(236,a,8857,a(flip),b,10711,a(flip)),flip(a)]. 10714 L(x,y,z) * T(y,x) = y * L(x,y,z). [para(10711(a,1),119(a,1,2))]. 10717 T(x \ y,(x \ y) \ z) = T(x \ y,y \ (x * z)). [para(450(a,1),10711(a,1,2)),flip(a)]. 10718 T(L(x,y,z),(z * (y * x)) \ ((z * y) * u)) = T(L(x,y,z),L(x,y,z) \ u). [para(460(a,1),10711(a,1,2))]. 10719 L(x,y,z) = (z * T(y,x)) \ (z * (T(y,x) * x)). [para(10711(a,1),10051(a,1,1,2)),flip(a)]. 10720 K(L(x,y,z),y) != u | K(x,y) = u. [para(10706(a,2),4928(a,1))]. 10721 K(x,L(y,x,z)) != u | K(x,y) = u. [para(8909(a,1),10720(a,1))]. 10722 L(K(x,y),z * x,u) != w | K(L(x,z,u),y) = w. [para(8288(a,1),10721(a,1))]. 10723 L(K(x,y),z,y * x) != u | K(x,y) = u. [para(10442(a,1),10721(a,1))]. 10725 ((x * T(y,x)) * L(x,y,z)) \ (x * (y * L(x,y,z))) = K(L(x,y,z),x * T(y,x)). [para(10714(a,1),1212(a,1,2,2))]. 10726 R(x / (y \ z),y \ z,y) = (x * T(y,y \ z)) / z. [para(14(a,1),10678(a,1,2)),flip(a)]. 10727 R(R(x,y,x) / x,x,z) = (z * R(x,y,x)) / (z * x). [para(8312(a,1),10678(a,1,1)),flip(a)]. 10730 K(L(x,y,z),T(y,u)) != w | K(x,T(y,u)) = w. [para(10702(a,2),7610(a,1))]. 10732 K((x * y) / (x * z),z) != u | K(z \ y,T(z,x)) = u. [para(9152(a,1),10730(a,1))]. 10733 K(x \ (y \ (x * z)),y) != u | K(y \ z,y) = u. [para(10657(a,1),323(a,1)),flip(b)]. 10734 L(x,T(y,x),z) = L(x,y,z). [hyper(236,a,28,a,b,10719,a),flip(a)]. 10736 L(x,y / x,z) = L(x,x \ y,z). [para(121(a,1),10734(a,1,2)),flip(a)]. 10739 L(x,x \ (y \ z),y) = (y * ((y \ z) / x)) \ z. [hyper(236,a,511,a(flip),b,10736,a(flip))]. 10740 (x * y) / L(z,z \ y,x) = x * (y / z). [para(10736(a,1),494(a,1,2))]. 10741 K(L(x,x \ y,z),u) != w | L(K(x,u),y,z) = w. [para(10736(a,1),6617(a,1,1))]. 10742 (x * y) / L(z,z \ (y * x),K(x,y)) = K(x,y) * ((y * x) / z). [para(4817(a,1),10740(a,1,1))]. 10745 K(x \ (y * z),x) = K(y * (x \ z),x). [hyper(7836,a,10637,a),flip(a)]. 10746 K(x \ (y * z),x) != u | K(y * (x \ z),x) = u. [para(10637(a,1),7560(a,1))]. 10747 K(x \ (y * (x * z)),x) = K(y * z,x). [para(13(a,1),10745(a,2,1,2))]. 10748 K(x * (y \ (x \ z)),y) = K(y \ z,y). [para(14(a,1),10745(a,1,1,2)),flip(a)]. 10749 x * K(y \ z,z \ (y * x)) = (y \ z) * (x / (y \ z)). [para(10645(a,1),5079(a,1,2))]. 10750 K((x / y) \ z,y \ x) = K(x \ (y * z),y \ x). [hyper(7512,a,10652,a)]. 10751 K(((x \ y) \ y) \ z,(x \ y) \ y) = K(y \ ((x \ y) * z),T(x,y)). [hyper(236,a,7257,a(flip),b,10652,a)]. 10752 K(x \ (y * z),y \ x) / K((y \ x) \ z,K(x,y)) = K((y \ x) \ z,x / y). [hyper(74,a,10652,a(flip),b,9411,a)]. 10753 x * K(y \ (z * x),z \ y) = ((z \ y) \ x) * (z \ y). [para(10652(a,1),249(a,1,2))]. 10754 T(x \ y,z) \ T((x \ y) * K(y \ (x * u),x \ y),z) = K((x \ y) \ u,T(x \ y,z)). [para(10652(a,1),5754(a,1,2,1,2))]. 10755 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(4563(a,1),10654(a,1,2,2,1,2))]. 10756 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) = L(K(x,(u * w) \ v5),y * x,z). [para(10654(a,1),6579(a,1,1)),flip(a)]. 10757 K((x / y) \ z,x / y) = K(x \ (y * z),x / y). [hyper(7834,a,10665,a)]. 10758 (x * (y * z)) * K(y,z) = x * (T(y,z) * z). [para(32(a,2),10671(a,2,2,1))]. 10759 ((x * y) * (T(z,u) * u)) / ((y * (z * u)) * K(z,u)) = R(R(x,y,z * u),y * (z * u),K(z,u)). [para(10758(a,1),468(a,1,1))]. 10760 (x * y) \ (K(y,x) * z) = K(y,x) * ((x * y) \ z). [hyper(551,a,10710,a)]. 10762 T(x \ y,(y / x) \ z) = T(x \ y,y \ (x * z)). [hyper(8621,a,10717,a)]. 10763 K(x,T(y \ z,z \ (y * u)) \ w) = K(x,(((y \ z) \ u) \ u) \ w). [para(10717(a,1),6543(a,1,2,1))]. 10764 R(K(x,(y / (z / u)) \ x),u \ z,u) = K(x,z / ((x \ y) * u)). [para(9734(a,1),10687(a,1,1))]. 10765 K(L(x,y,z),L(y,u,w)) = K(x,L(y,u,w)). [hyper(236,a,9108,a(flip),b,10703,a(flip))]. 10766 L(K(x,y),T(y,z) * u,w) != v5 | K(x,L(y,u,w)) = v5. [para(10703(a,2),8341(a,1))]. 10768 K(x \ (y \ (x * z)),L(y,u,w)) = K(y \ z,L(y,u,w)). [hyper(236,a,10116,a(flip),b,10765,a(flip)),flip(a)]. 10769 K(((x / y) \ z) / y,L(y,u,w)) = K((y * (x \ z)) / y,L(y,u,w)). [para(904(a,1),10765(a,1,1)),flip(a)]. 10770 (x * R(y,z,y)) / (x * y) = R(a(y,z,y),y,x). [para(9041(a,1),10727(a,1,1)),flip(a)]. 10771 L(K(x,y),y * z,u) != w | K(x,L(y,z,u)) = w. [para(118(a,1),10766(a,1,2,1))]. 10772 L(K(x,y),z,u) != w | K(x,L(y,y \ z,u)) = w. [para(14(a,1),10771(a,1,2))]. 10773 L(K(x,y / z),y,u) != w | K(x,L(y / z,z,u)) = w. [para(16(a,1),10771(a,1,2))]. 10774 x * K(L(y,z,u) \ y,L(y,z,u) * (y \ x)) = (L(y,z,u) \ y) * (x / (L(y,z,u) \ y)). [para(1205(a,1),10749(a,1,2,2))]. 10775 K(x \ ((y \ x) * z),(y \ x) \ x) = z \ ((((y \ x) \ x) \ z) * T(y,y \ x)). [hyper(72,a,257,a,b,10753,a),flip(a)]. 10777 R(x,K(y,T(z,u)),u * K(z,w)) = R(x,K(y,z),u * K(z,w)). [para(7256(a,2),10691(a,1,2))]. 10778 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = R(x,K(y,u),z * K(u,y)) * z. [para(10777(a,1),10282(a,2,1))]. 10779 a(x,y * K(L(x,z,u),y),L(x,z,u)) = a(x,y,L(x,z,u)). [hyper(236,a,10257,a(flip),b,10685,a)]. 10780 a(x,y,T(L(x,z,u),y)) = a(x,y,L(x,z,u)). [hyper(9719,a,10779,a)]. 10781 a(x,y,L(T(x,y),z,u)) = a(x,y,L(x,z,u)). [para(40(a,2),10780(a,1,3))]. 10782 (L(x,y,z) * u) \ (u * L(T(x,x \ u),y,z)) = a(x,x \ u,L(x,y,z)). [hyper(236,a,2433,a(flip),b,10781,a(flip)),flip(a)]. 10783 K(((x \ y) \ y) \ z,T(x,y)) = K(y \ ((x \ y) * z),T(x,y)). [hyper(7814,a,10751,a)]. 10784 K(x \ ((y \ x) * z),T(y,x)) != u | K(y \ z,T(y,x)) = u. [para(10783(a,1),9484(a,1))]. 10785 K(x,T((y \ z) \ 1,z \ (y * u))) = K(x,(((y \ z) \ u) \ u) \ 1). [hyper(7818,a,10763,a)]. 10786 K(((x / y) \ z) / y,L(y,u,w)) = K(y \ (y * (x \ z)),L(y,u,w)). [hyper(236,a,7371,a(flip),b,10769,a)]. 10787 K(x,T(y \ z,y \ (z * u))) = K(x,(((z \ y) \ u) \ u) \ 1). [hyper(9465,a,10785,a)]. 10788 K(x,T(y \ z,y \ (z * u))) = K(x,u \ ((z \ y) \ u)). [hyper(236,a,6408,a(flip),b,10787,a)]. 10789 K(x,T(y \ z,y \ (z * u))) != w | K(x,T(y \ z,u)) = w. [para(10788(a,2),9469(a,1))]. 10790 K(((x / y) \ z) / y,L(y,u,w)) = K(x \ z,L(y,u,w)). [hyper(236,a,660,a(flip),b,10786,a)]. 10791 K(x \ ((y / x) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). [hyper(8398,a,10790,a)]. 10793 K(x \ ((x \ y) \ z),L(x,u,w)) = K(y \ z,L(x,u,w)). [hyper(10285,a,10791,a)]. 10794 K(L(x,y,z),x \ ((u * (x \ w)) \ v5)) != v6 | K(L(x,y,z),(u * w) \ v5) = v6. [para(10756(a,2),10722(a,1))]. 10795 K(x,L(y,z,u)) * K(L(y,z,u),y \ x) = a(y,y \ x,L(y,z,u)). [hyper(9101,a,10782,a)]. 10796 K((x * y) \ (z \ ((x * y) * u)),L(z,y,x)) = K(L(z,y,x) \ u,L(z,y,x)). [hyper(10296,a,10708,a)]. 10797 L(T(x,(y * (z * x)) \ ((y * z) * u)),z,y) = T(L(x,z,y),L(x,z,y) \ u). [hyper(236,a,40,a,b,10718,a(flip)),flip(a)]. 10798 (x * K(T(y,z),u)) * (K(u,T(y,z)) * z) = (x * K(y,u)) * (K(u,y) * z). [hyper(236,a,10118,a(flip),b,10778,a)]. 10799 (x * K(y,T(z,u))) * (K(z,T(y,u)) * u) = (x * K(y,z)) * (K(z,y) * u). [para(7260(a,1),10798(a,1,1,2))]. 10800 (x * K(y,T(z,u))) * (u * K(z,y)) = (x * K(y,z)) * (K(z,y) * u). [para(8047(a,1),10799(a,1,2))]. 10801 (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(9178(a,2),10800(a,1,1))]. 10802 K(L(x,y,z) \ u,L(x,y,z)) = K(x \ u,L(x,y,z)). [hyper(236,a,10768,a(flip),b,10796,a(flip))]. 10804 L(T(x,(y * z) \ (x \ ((y * z) * u))),z,y) = T(L(x,z,y),L(x,z,y) \ u). [para(10040(a,1),10797(a,1,1))]. 10805 T(L(x,y,z),L(x,y,z) \ u) = L(T(x,x \ u),y,z). [para(10713(a,1),10804(a,1,1)),flip(a)]. 10806 x / L(T(y,y \ x),z,u) = L(y,z,u) \ x. [para(10805(a,1),197(a,1,2))]. 10807 (L(x,y,z) \ u) / (L(T(x,x \ w),y,z) \ u) = K(L(x,y,z),L(x,y,z) \ w). [para(10805(a,1),5189(a,1,2,1))]. 10809 L(x / (x / y),z,u) \ x = x / L(y,z,u). [para(270(a,1),10806(a,1,2,1)),flip(a)]. 10810 L(x / (x / y),z,u) = x / (x / L(y,z,u)). [para(10809(a,1),62(a,1,2)),flip(a)]. 10814 T(x / (x / L(y,z,u)),x / y) = L((x / y) \ x,z,u). [para(10810(a,1),184(a,1,1))]. 10815 K(x,L(y / (y / z),u,w)) = K(x,T(L(z,u,w),y)). [para(10810(a,2),8124(a,1,2))]. 10816 T(x / (x / L(y,z,u)),x / y) = L(y,z,u). [para(65(a,1),10814(a,2,1))]. 10817 T(T(x / (x / L(y,z,u)),w),x / y) = T(L(y,z,u),w). [para(10816(a,1),38(a,1,1)),flip(a)]. 10818 K(x \ (y * z),y \ x) / K(x,K((y \ x) \ z,y)) = K((y \ x) \ z,x / y). [para(7919(a,1),10752(a,1,2))]. 10819 x \ ((((y \ z) \ z) \ x) * T(y,y \ z)) = K(z \ ((y \ z) * x),T(y,z)). [hyper(7814,a,10775,a),flip(a)]. 10820 x \ ((((y \ z) \ z) \ x) * T(y,y \ z)) = K(y \ x,T(y,z)). [hyper(10784,a,10819,a(flip)),flip(a)]. 10822 K(L(x,y,z),L(x,y,z) \ u) = K(L(x,y,z),x \ u). [hyper(236,a,5349,a(flip),b,10807,a(flip))]. 10823 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(10822(a,1),9043(a,1,2)),flip(a)]. 10824 K(x \ (y * z),y \ x) / K(x,K(x \ (y * z),y)) = K((y \ x) \ z,x / y). [para(8320(a,1),10818(a,1,2,2))]. 10825 K(x \ (y * z),y \ x) / K(x,K(y,y * z)) = K((y \ x) \ z,x / y). [para(9205(a,1),10824(a,1,2))]. 10826 K(x \ (y * z),y \ x) / K(x,K(y,z)) = K((y \ x) \ z,x / y). [para(9204(a,1),10825(a,1,2))]. 10827 K(x \ (y * z),y \ x) * K(x,K(y,z)) = K((y \ x) \ z,x / y). [hyper(7973,a,10826,a)]. 10828 K(x \ (y * z),y \ x) * K(x,K(y,z)) = K(x \ (y * z),x / y). [hyper(236,a,10665,a(flip),b,10827,a)]. 10829 ((x * y) * L(y,x,z)) \ (y * (x * L(y,x,z))) = K(L(y,x,z),y * T(x,y)). [para(119(a,1),10725(a,1,1,1))]. 10830 K(L(x,y,z),x * T(y,x)) = K(x,y * L(x,y,z)). [hyper(1663,a,10829,a),flip(a)]. 10831 K(L(x,y,z),y * x) = K(x,y * L(x,y,z)). [para(119(a,1),10830(a,1,2))]. 10832 K(x,y * L(x,y,z)) = K(x,x * y). [hyper(8505,a,10831,a),flip(a)]. 10834 L(K(x,x * y),z * x,u) = K(L(x,z,u),y * L(x,y,w)). [para(10832(a,1),6579(a,1,1))]. 10835 K(L(x,y,z),u * L(x,u,w)) = K(L(x,y,z),x * u). [hyper(10722,a,10834,a),flip(a)]. 10836 L(K(L(x,y,z),x * y),y,z) = K(x,x * y). [para(10835(a,1),10037(a,1,1))]. 10837 L(K(x,x * y),y,z) = K(x,x * y). [para(8907(a,1),10836(a,1,1))]. 10839 K(x,y \ (z * x)) = K(x,x * (y \ z)). [hyper(236,a,10024,a(flip),b,10837,a(flip)),flip(a)]. 10840 1 / L(K(x,x * y),y,z) = K(x * y,x). [para(10837(a,2),5102(a,1,2))]. 10843 K(x,x * ((y * z) \ y)) = K(x,z \ x). [hyper(6599,a,10839,a),flip(a)]. 10844 L(K(x,x * (y \ z)),y \ z,u) = K(x,y \ (z * x)). [hyper(236,a,10837,a,b,10839,a),flip(a)]. 10845 K(x,(y * (x \ 1)) \ z) = K(x,x * (y \ z)). [hyper(236,a,10014,a,b,10839,a(flip)),flip(a)]. 10848 K(x,x * (y \ ((x \ y) * z))) = K(x,z). [hyper(236,a,8845,a(flip),b,10839,a(flip))]. 10849 K(x,y \ (x * z)) = K(x,x * (y \ z)). [hyper(236,a,8833,a(flip),b,10839,a(flip)),flip(a)]. 10850 (x \ (y * z)) * K(z,z * (x \ y)) = (z * (x \ (y * z))) / z. [para(10839(a,1),4854(a,2,2)),flip(a)]. 10851 L(K(x,x * (y \ z)),u * x,w) = K(L(x,u,w),y \ (z * x)). [para(10839(a,1),6579(a,1,1))]. 10852 K(x,x * ((y * z) \ y)) != u | K(x,z \ x) = u. [para(10839(a,1),6599(a,1))]. 10853 K(R(x,y * z,a(x,y,z)),R(x,y * z,a(x,y,z)) * (((x * y) * z) \ (((y * z) * a(x,y,z)) * u))) = K(R(x,y * z,a(x,y,z)),u). [para(675(a,1),10848(a,1,2,2,2,1))]. 10854 L(K(x * y,x),y,z) = K(x * y,x). [hyper(6043,a,10840,a)]. 10855 L(K(x * y,x),y,z) = K(y * x,x). [hyper(236,a,5559,a,b,10854,a)]. 10856 K(x \ (y * z),z) = K(z * (x \ y),z). [hyper(236,a,10048,a(flip),b,10854,a(flip)),flip(a)]. 10857 L(K(x * y,y),x,z) = K(x * y,y). [para(5559(a,2),10855(a,1,1))]. 10858 L(K(x * y,x),y,z) != u | K(x * y,x) = u. [para(10855(a,2),5642(a,1))]. 10859 a(x,y,K(y * z,z)) = 1. [hyper(73,a,10857,a,b,10178,a),flip(a)]. 10860 K((x * (y \ z)) \ u,y) = K(y * ((x * z) \ u),y). [hyper(10046,a,10856,a)]. 10862 K(x * ((y * x) \ z),x) = K(y \ z,x). [hyper(8531,a,10856,a),flip(a)]. 10863 K((x \ y) \ z,z) = K(z * (y \ x),z). [hyper(7766,a,10856,a)]. 10865 K(x * (y \ (x \ z)),x) = K(y \ z,x). [hyper(236,a,8533,a(flip),b,10856,a(flip))]. 10866 L(x * K(x * (y \ z),x),u,w) / L(x,u,w) = K(y \ (z * x),L(x,u,w)). [para(10856(a,1),5666(a,1,1,1,2))]. 10868 K(x * (y \ z),x) * K(x,y \ z) = a(x,(z \ y) \ 1,x). [para(10856(a,1),9936(a,1,1))]. 10869 K(x * ((y * z) \ y),x) = K(z \ x,x). [para(13(a,1),10863(a,1,1,1)),flip(a)]. 10870 a(x,(y * z) \ y,x) = K(x,z \ 1) * K(z \ x,x). [para(10869(a,1),9060(a,1,2)),flip(a)]. 10871 T(x,(y * (x \ 1)) \ z) = x * K(x,x * (y \ z)). [para(10845(a,1),4887(a,2,2))]. 10872 K(x \ (y * z),z) != u | K(z * (x \ y),z) = u. [para(10048(a,1),10858(a,1))]. 10873 K((x \ y) \ z,z) != u | K(z * (y \ x),z) = u. [para(7742(a,2),10872(a,1))]. 10874 K((x \ y) \ z,x) != u | K(x * (y \ z),x) = u. [para(8529(a,2),10872(a,1))]. 10875 K((x / y) \ z,y) != u | K(y * (x \ z),y) = u. [para(8535(a,2),10872(a,1))]. 10876 L(x * K(x * ((y * z) \ u),x),w,v5) \ L(x,w,v5) = K(L(x,w,v5),(y * (x \ z)) \ u). [para(10860(a,1),5667(a,1,1,1,2))]. 10877 T(x,(y * (x \ 1)) \ z) = T(x,x * (y \ z)). [hyper(236,a,4887,a,b,10871,a)]. 10879 T(x,y \ (x * z)) = T(x,x * (y \ z)). [hyper(236,a,10043,a(flip),b,10877,a(flip)),flip(a)]. 10880 T(x,x * (y \ (z \ y))) = T(x,T(z \ x,y)). [hyper(236,a,9946,a(flip),b,10879,a(flip))]. 10881 K(x \ (y \ x),z) * T(z,T(y \ z,x)) = L(z,x \ (y \ x),z). [para(10880(a,1),5181(a,1,2))]. 10882 K(x,y \ (z * x)) != u | K(x,x * (y \ z)) = u. [para(10844(a,1),323(a,1)),flip(b)]. 10883 K(x,y * (L(y,z,u) \ x)) != w | K(x,x * (L(y,z,u) \ y)) = w. [para(1210(a,1),10882(a,1,2))]. 10884 K(x,(y * (x \ z)) \ u) != w | K(x,x * ((y * z) \ u)) = w. [para(10010(a,2),10882(a,1))]. 10885 K(x,(y * (z / x)) \ u) != w | K(x,x * ((y * z) \ u)) = w. [para(10013(a,2),10882(a,1))]. 10886 a(x,(y * z) \ y,x) = a(x,z \ 1,x). [hyper(236,a,9059,a(flip),b,10870,a)]. 10889 a(x,(y \ z) \ 1,x) != u | a(x,z \ y,x) = u. [para(10868(a,1),9070(a,1))]. 10890 ((x * y) \ (x * (z * y))) * K(z * y,(z * y) * ((x * y) \ x)) = ((z * y) * L(T(z,y),y,x)) / (z * y). [para(178(a,1),10850(a,2,1,2))]. 10891 K(L(x,y,z),u \ (w * x)) = K(L(x,y,z),x * (u \ w)). [hyper(10722,a,10851,a),flip(a)]. 10892 K(L(x,y,z),u \ (x * w)) = K(L(x,y,z),x * (u \ w)). [hyper(9949,a,10891,a)]. 10893 K(L(x,y,z),x * (u \ L(K(x,w),v5,v6))) = K(L(x,y,z),u \ x). [hyper(236,a,10533,a(flip),b,10892,a(flip))]. 10894 K(x \ (y * z),L(z,u,w)) = K(z * (x \ y),L(z,u,w)). [hyper(5966,a,10866,a),flip(a)]. 10895 K((x \ y) \ z,L(z,u,w)) = K(z * (y \ x),L(z,u,w)). [hyper(236,a,8539,a,b,10894,a(flip)),flip(a)]. 10896 K(x \ ((x \ (L(x,y,z) \ u)) \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(236,a,10802,a(flip),b,10664,a(flip)),flip(a)]. 10897 K((L(x,y,z) \ u) \ w,L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(236,a,10793,a(flip),b,10896,a(flip)),flip(a)]. 10898 K(L(x,y,z) * (u \ w),L(x,y,z)) = K((x \ u) \ w,L(x,y,z)). [hyper(10874,a,10897,a)]. 10899 K(L(x,y,z) * (u \ w),L(x,y,z)) = K(u \ (x * w),L(x,y,z)). [hyper(236,a,10113,a(flip),b,10898,a)]. 10900 K((x \ y) * L(z,u,w),L(z,u,w)) = K(x \ (z * y),L(z,u,w)). [hyper(8418,a,10899,a)]. 10901 K(x \ ((x \ (1 / L(x,y,z))) \ u),L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(236,a,10802,a(flip),b,10666,a(flip)),flip(a)]. 10902 K((1 / L(x,y,z)) \ u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(236,a,10793,a(flip),b,10901,a(flip)),flip(a)]. 10903 K(L(x,y,z) * u,L(x,y,z)) = K((1 / x) \ u,L(x,y,z)). [hyper(236,a,7725,a(flip),b,10902,a(flip)),flip(a)]. 10904 K(x * L(y,z,u),L(y,z,u)) = K((1 / y) \ x,L(y,z,u)). [hyper(8418,a,10903,a)]. 10905 K(x * L(y,z,u),L(y,z,u)) = K(1 \ (x * y),L(y,z,u)). [hyper(236,a,9950,a(flip),b,10904,a)]. 10906 K(x * L(y,z,u),L(y,z,u)) = K(x * y,L(y,z,u)). [para(50(a,1),10905(a,2,1))]. 10907 K(x \ (y * z),L(y,u,w)) = K((x \ z) * y,L(y,u,w)). [hyper(236,a,10900,a(flip),b,10906,a(flip)),flip(a)]. 10908 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(10906(a,1),9043(a,1,1))]. 10909 K((x \ y) \ z,L(x,u,w)) = K((y \ z) * x,L(x,u,w)). [hyper(236,a,10113,a,b,10907,a(flip)),flip(a)]. 10910 K(x \ (y * z),L(z,u,w)) = K((x \ y) * z,L(z,u,w)). [hyper(236,a,9948,a,b,10907,a(flip)),flip(a)]. 10911 K(((x \ y) \ z) * u,L(u,z,x)) = K(y \ (x * (u * z)),u). [hyper(236,a,8973,a(flip),b,10907,a(flip))]. 10912 K((x / y) \ z,L(y,u,w)) = K((x \ z) * y,L(y,u,w)). [hyper(236,a,9950,a,b,10910,a(flip)),flip(a)]. 10913 a(L(x,y,z),L(x,y,z) \ u,L(x,y,z)) = a(x,x \ u,L(x,y,z)). [hyper(236,a,10795,a(flip),b,10823,a)]. 10914 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),10823(a,2,2,2))]. 10915 K(L(x,y,z),(u * (x \ w)) \ v5) = K(L(x,y,z),x * ((u * w) \ v5)). [hyper(7667,a,10876,a),flip(a)]. 10917 K((x \ y) \ z,T(x \ y,u)) = K(y \ (x * z),T(x \ y,u)). [hyper(5755,a,10754,a),flip(a)]. 10918 K((x \ y) \ z,T(x \ y,u)) != w | K(y \ (x * z),T(x \ y,u)) = w. [para(10754(a,1),5755(a,1))]. 10919 K((x * T(x \ (y / z),u)) \ x,T(T(x,w),z)) = K(T(T(x,z) \ (z \ y),u) \ 1,T(x,w)). [hyper(6456,a,9111,a),flip(a)]. 10920 K(T(T(x,y) \ (y \ z),u) \ 1,T(x,y)) = K((x * T(x \ (z / y),u)) \ x,x). [hyper(8174,a,10919,a),flip(a)]. 10921 K(T(T(x,y) \ (y \ z),u) \ 1,T(x,y)) = K(T(x \ (z / y),u) \ 1,x). [hyper(236,a,6294,a(flip),b,10920,a)]. 10923 K(T(T(x,y) \ (y \ z),u) \ 1,T(x,y)) = K((x \ (z / y)) \ 1,T(x,u)). [hyper(236,a,7268,a(flip),b,10921,a)]. 10924 K(T(T(x,y) \ (y \ z),u) \ 1,T(x,y)) = K((z / y) \ x,T(x,u)). [hyper(236,a,6269,a(flip),b,10923,a)]. 10925 K((T(x,y) \ (y \ z)) \ 1,T(T(x,y),u)) = K((z / y) \ x,T(x,u)). [hyper(7819,a,10924,a)]. 10926 K((x \ y) \ T(z,x),T(T(z,x),u)) = K((y / x) \ z,T(z,u)). [hyper(6495,a,10925,a)]. 10927 K((x \ y) \ z,T(T(z,x),u)) = K((y / x) \ z,T(z,u)). [hyper(236,a,8735,a(flip),b,10926,a(flip)),flip(a)]. 10929 K((x / y) \ z,T(z,y / x)) = K((y \ x) \ z,T(z,y)). [hyper(236,a,10073,a(flip),b,10927,a(flip))]. 10930 K((x \ y) \ z,T(z,x)) = K((y / x) \ z,z). [hyper(236,a,5531,a(flip),b,10929,a(flip))]. 10931 K(x \ (y * z),T(z,y)) = K((x / y) \ z,z). [hyper(236,a,7768,a(flip),b,10930,a(flip)),flip(a)]. 10932 K(((x * y) / x) \ z,z) = K(y \ z,T(z,x)). [para(13(a,1),10930(a,1,1,1)),flip(a)]. 10933 K((x * y) / z,y) = K((z / x) \ y,y). [hyper(8396,a,10931,a)]. 10934 K(x * (y \ K(y,z)),x) = K(y \ x,T(x,z)). [hyper(236,a,5414,a(flip),b,10932,a(flip)),flip(a)]. 10935 K((x \ K(x,y)) * z,z) = K(x \ z,T(z,y)). [hyper(8418,a,10934,a)]. 10936 (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(7923(a,1),7723(a,1,2,2))]. 10937 ((((x * T(y,x)) * z) / (x * T(y,x))) * ((y * x) / y)) * y = (y * x) * R(z,x,T(y,x)). [para(119(a,1),7868(a,2,1))]. 10938 ((((x * T(y,x)) * z) / (x * T(y,x))) * ((y * x) / y)) * y = (y * x) * R(z,x,y). [para(10675(a,1),10937(a,2,2))]. 10939 ((((x * y) * z) / (y * T(x,y))) * ((x * y) / x)) * x = (x * y) * R(z,y,x). [para(119(a,1),10938(a,1,1,1,1,1))]. 10940 ((((x * y) * z) / (x * y)) * ((x * y) / x)) * x = (x * y) * R(z,y,x). [para(119(a,1),10939(a,1,1,1,2))]. 10941 ((((x * y) * z) / (y * x)) * y) * x = (x * y) * R(z,y,x). [para(10462(a,1),10940(a,1,1))]. 10942 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(5895(a,1),10230(a,1,2))]. 10943 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(5909(a,1),10942(a,2,3))]. 10944 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(5622,a,10489,a)]. 10945 (x * (K(y,y \ 1) * (z * u))) \ (K(y,y \ 1) * ((x * z) * u)) = a(x,K(y,y \ 1) * z,u). [para(3584(a,1),10560(a,1,2))]. 10946 (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(7256(a,2),10936(a,2,1,1))]. 10947 K(x,T(y,z)) * (K(y * R(x,u,w),T(x,z)) * v5) = R(T(x,z),y,R(x,u,w)) * (T(x,z) \ v5). [hyper(8496,a,10944,a)]. 10948 ((x * (K(y,y \ 1) * (z * u))) \ ((x * z) * u)) * K(y,y \ 1) = a(x,K(y,y \ 1) * z,u). [hyper(4582,a,10945,a)]. 10949 (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(7303(a,1),10946(a,2,1))]. 10950 (x \ T(x * y,x)) \ (y * K(x,K(z,x * y))) = K(x,T(x * y,z)). [hyper(236,a,9886,a(flip),b,10949,a)]. 10953 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(6697(a,2),10950(a,1,1))]. 10954 K(x,T(y / z,y) \ y) \ (K(x,z) * 1) = K(y,T(y * K(x,z),x)). [para(7599(a,1),10953(a,1,2,2))]. 10955 K(x,T(y / z,y) \ y) \ K(x,z) = K(y,T(y * K(x,z),x)). [para(12(a,1),10954(a,1,2))]. 10956 K(T(x / y,x) \ x,z) * K(z,y) = K(x,T(x * K(z,y),z)). [hyper(5286,a,10955,a)]. 10957 K(x,T(y / z,y) \ y) * K(z,x) = K(y,T(y * K(z,x),z)). [para(6698(a,1),10956(a,1,1))]. 10958 K(x,T(y / z,y) \ y) * K(z,x) = K(y,y * K(z,x)). [hyper(236,a,7437,a(flip),b,10957,a)]. 10959 K(x * K(y,z),x) = K(x,x * K(z,y)). [hyper(236,a,6782,a(flip),b,10958,a(flip)),flip(a)]. 10960 T(T(x * K(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). [para(10959(a,1),5874(a,1,1,1,2))]. 10961 T(T(T(x,x * K(y,z)),u),K(z,y)) = R(T(x,u),K(z,y),x). [para(4887(a,2),10960(a,1,1,1))]. 10962 R(T(x,K(y,z)),K(z,y),x) = T(x,x * K(y,z)). [hyper(5847,a,10961,a)]. 10963 T(x,x * K(y,z)) \ T(K(z,y) * x,x) = K(z,T(y,x)). [para(10962(a,1),10409(a,1,1))]. 10964 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(10045(a,1),10963(a,1,1,2,2))]. 10965 (((x * (y * z)) \ ((x * y) * z)) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z). [para(4610(a,1),10948(a,1,1))]. 10966 (a(x,y,z) * K(u \ 1,u)) * K(u,u \ 1) = a(x,K(u,u \ 1) * y,z). [para(24(a,2),10965(a,1,1,1))]. 10967 a(x,K(y,y \ 1) * z,u) != w | a(x,z,u) = w. [para(10966(a,1),2866(a,1)),flip(b)]. 10968 a(x,(y \ 1) \ 1,z) != u | a(x,y,z) = u. [para(1745(a,1),10967(a,1,2))]. 10969 a(x,y * K(z,z \ 1),u) != w | a(x,y,u) = w. [para(2500(a,1),10967(a,1,2))]. 10970 a(x,(y \ 1) \ 1,z) = a(x,y,z). [hyper(10968,a,xx),flip(a)]. 10971 a(x,(1 / y) \ 1,1 / y) != z | a(x,y,y \ 1) = z. [para(9686(a,2),10968(a,1))]. 10977 (x * (y * ((x \ (z / u)) / y))) * ((z / u) \ z) = (x * u) * (y * (((x * u) \ z) / y)). [para(65(a,1),6992(a,2,2,2,1,1,2))]. 10978 (x * (y * ((x \ (z / u)) / y))) * u = (x * u) * (y * (((x * u) \ z) / y)). [para(65(a,1),10977(a,1,2))]. 10979 ((x * y) * (z * (((x * y) \ u) / z))) / u = K(z,u / ((x * z) * y)). [para(10978(a,1),6937(a,1,1))]. 10980 K(x,y / ((z * u) * x)) = K(x,y / ((z * x) * u)). [hyper(6660,a,10979,a)]. 10982 K(x,y / ((z * x) * u)) = K(x,y / (x * (z * u))). [hyper(10455,a,10980,a),flip(a)]. 10983 K(x,y / ((z * y) * x)) = K(x,1 / (z * x)). [hyper(236,a,5800,a(flip),b,10980,a)]. 10984 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(T(x,y * z),u / (x * (y * z))). [para(119(a,1),10980(a,1,2,2)),flip(a)]. 10986 K(x,1 / ((y / z) * x)) = K(x,z / (y * x)). [para(16(a,1),10983(a,1,2,2,1)),flip(a)]. 10987 K(x,((y * x) * z) / (x * (y * (y \ z)))) = L(K(x,y),z,y * x). [hyper(236,a,10611,a(flip),b,10982,a(flip))]. 10988 K(x,y / ((x * z) * u)) = K(x,y / (x * (z * u))). [hyper(236,a,8991,a(flip),b,10982,a(flip)),flip(a)]. 10989 x * K(x,y / (x * (z * u))) = T(x,y / ((x * z) * u)). [para(10988(a,1),4887(a,2,2)),flip(a)]. 10990 L(K(x,y),z,y * x) = K(x,((y * x) * z) / (x * z)). [para(14(a,1),10987(a,1,2,2,2)),flip(a)]. 10991 L(K(x,y),z,y * x) = K(x,R(y,x,z)). [para(30(a,2),10990(a,2,2))]. 10993 K(x,R(y,x,z)) = K(x,y). [hyper(10723,a,10991,a),flip(a)]. 10994 R(K(x,y),z,T(y * x,z)) = K(x,R(y,x,z)). [hyper(10171,a,10991,a)]. 10995 K(x,R(y,x,z)) != u | K(x,y) = u. [para(10991(a,1),10723(a,1))]. 10996 K(R(x,y,z),y) = K(x,y). [hyper(10583,a,10993,a)]. 10998 ((x * y) * z) \ ((y * x) * z) = K(y,T(x,z)). [hyper(236,a,9586,a,b,10993,a(flip)),flip(a)]. 10999 K(x,R(R(y,x,z),u,w)) = K(x,R(y,u,w)). [para(46(a,1),10993(a,1,2))]. 11000 K(1 / x,y / (1 / x)) = K(1 / x,y * x). [para(481(a,1),10993(a,1,2)),flip(a)]. 11004 K(R(x,y,z),y) = K(x,R(y,x,u)). [hyper(236,a,10993,a,b,10996,a)]. 11006 K((x / y) / z,z) = K(x / (z * y),z). [para(235(a,1),10996(a,1,1)),flip(a)]. 11009 K(1 / x,T(y * x,z)) != u | K(1 / x,T(y / (1 / x),z)) = u. [para(579(a,1),10995(a,1,2))]. 11010 ((x * y) * z) \ ((y * x) * z) != u | K(y,T(x,z)) = u. [para(9586(a,2),10995(a,1))]. 11011 T(x,R(y,x,z)) = x * K(R(x,y,u),y). [para(11004(a,2),4887(a,2,2))]. 11012 K(x / (y * z),y) = K(y \ (x / z),y). [hyper(5335,a,11006,a),flip(a)]. 11013 T(x,R(y,x,z)) = T(x,y). [hyper(236,a,7213,a(flip),b,11011,a)]. 11015 T(R(x,y,z),(u * (y * z)) / ((x * y) * z)) = T(R(x,y,z),u / R(x,y,z)). [para(492(a,1),11013(a,1,2))]. 11016 K(x / (y * z),z) = K(z \ (x / y),z). [hyper(10454,a,11012,a)]. 11017 x / (K(y \ (z / u),y) * x) = K(y,z / (y * u)). [para(11012(a,1),5266(a,1,2,1))]. 11018 ((x * y) / x) / ((x * (y * K(y \ (z / u),y))) / x) = K(y,T(z / (y * u),x)). [para(11012(a,1),9124(a,1,2,1,2,2))]. 11020 K(x \ ((y * z) / y),x) != u | K(x \ z,T(x,y)) = u. [para(11016(a,1),10732(a,1))]. 11021 R(K(x,R(y,x,z)),(y * x) * z,u) = K(x,R(y,x * z,u)). [hyper(236,a,6826,a,b,10999,a(flip)),flip(a)]. 11022 K(x,R(y,x,z)) * ((y * x) * z) = (K(x,y) * z) * T(y * x,z). [para(10994(a,1),465(a,1,1))]. 11024 K(x,y * K(1 / y,z * y)) = T(K(x,y),z / (1 / y)). [para(11000(a,1),9846(a,1,2,2))]. 11025 K(x,y / (x * z)) = K(x,x \ (y / z)). [hyper(5272,a,11017,a),flip(a)]. 11026 K(x,y / (z * x)) = K(x,x \ (y / z)). [hyper(10456,a,11025,a)]. 11027 K(x,y / ((z * x) * u)) = K(x,x \ (y / (z * u))). [hyper(236,a,10982,a,b,11025,a(flip)),flip(a)]. 11028 x * K(x,x \ (y / (z * u))) = T(x,y / ((x * z) * u)). [para(11025(a,1),10989(a,1,2))]. 11029 K(x,(x \ y) / z) = K(x,x \ (y / z)). [hyper(236,a,9742,a,b,11026,a(flip)),flip(a)]. 11030 K(x,x \ ((x * y) / z)) = K(x,y / z). [para(13(a,1),11029(a,1,2,1)),flip(a)]. 11031 K(x,x \ ((y \ 1) \ (x * z))) = K(x,z / T(y \ 1,y * (x * z))). [para(4408(a,1),11030(a,1,2,2))]. 11032 K(x,x \ (y / ((x \ z) * u))) = K(x,y / (z * u)). [hyper(236,a,8990,a(flip),b,11027,a(flip))]. 11033 K(x,(x * y) / (z * u)) = K(x,y / ((x \ z) * u)). [hyper(236,a,11030,a(flip),b,11032,a(flip))]. 11034 K(x,y / ((x \ z) * u)) != w | K(x,((z * u) / y) \ x) = w. [para(11033(a,1),6836(a,1))]. 11035 T(K(x,y),z / (1 / y)) = T(K(x,y),z * y). [hyper(236,a,9846,a(flip),b,11024,a(flip))]. 11036 T(K(x,y),z * y) = K(x,1 / (z / (z / (1 / y)))). [hyper(236,a,9847,a(flip),b,11035,a(flip))]. 11037 K(x,1 / (y / (y / (1 / z)))) = K(x,T(z,y)). [hyper(236,a,6439,a(flip),b,11036,a(flip))]. 11038 T(x,y / ((x * z) * u)) = T(x,x \ (y / (z * u))). [hyper(4890,a,11028,a),flip(a)]. 11039 R(K(x,y),(y * x) * z,u) = K(x,R(y,x * z,u)). [para(10993(a,1),11021(a,1,1))]. 11041 (K(x,y) * z) * T(y * x,z) = (y * (K(x,y) * x)) * z. [hyper(236,a,6833,a(flip),b,11022,a(flip))]. 11042 (K(x,y) * z) * T(y * x,z) = (x * y) * z. [para(4971(a,1),11041(a,2,1))]. 11043 (x * y) * (K(y,x) * z) = (y * x) * z. [hyper(236,a,10144,a(flip),b,11042,a(flip)),flip(a)]. 11044 (x * y) \ ((y * x) * z) = K(y,x) * z. [hyper(72,a,11042,a(flip),b,10144,a(flip))]. 11046 L(x,K(y,z),z * y) = x. [hyper(781,a,11043,a)]. 11047 x * (K(y \ x,y) * z) = ((y \ x) * y) * z. [hyper(515,a,11043,a)]. 11048 K(x,y) * ((x * y) \ z) = (y * x) \ z. [hyper(72,a,14,a(flip),b,11043,a),flip(a)]. 11049 K(x,y) * ((y * x) * z) = (x * y) * z. [hyper(236,a,10710,a,b,11043,a(flip)),flip(a)]. 11050 K(x,y) \ ((x * y) * z) = (y * x) * z. [hyper(72,a,11043,a(flip),b,10710,a)]. 11053 (x * y) * (T(x,y) \ z) != u | (y * x) * (x \ z) = u. [para(11043(a,1),5341(a,1))]. 11054 L(x,K(y \ z,y),z) = x. [para(14(a,1),11046(a,1,3))]. 11055 L(x,K(y,y \ z),z) = x. [para(4998(a,1),11054(a,1,2))]. 11056 L(x,K(y \ 1,z),y \ z) = x. [para(5693(a,1),11054(a,1,2))]. 11057 (x * K(y,y \ x)) \ z = K(y \ x,y) * (x \ z). [hyper(236,a,5277,a(flip),b,11055,a(flip)),flip(a)]. 11058 (x * y) * (K(y,x) * z) != u | (y * x) * z = u. [para(11044(a,1),216(a,1,2)),flip(b)]. 11059 (x * y) \ (K(x,y) * z) = (y * x) \ z. [hyper(17,a,10760,a(flip),b,11048,a)]. 11060 K(x,x \ y) * (y \ z) = ((x \ y) * x) \ z. [para(14(a,1),11048(a,1,2,1))]. 11061 T(x,y) * ((x * y) \ z) = x * ((y * x) \ z). [para(11048(a,1),4856(a,1,2)),flip(a)]. 11062 K(x,(R(x,y,z) * u) \ w) = K(x,(u * R(x,y,z)) \ w). [para(11048(a,1),7440(a,1,2))]. 11064 K(x,y * ((z * x) \ u)) = K(x,y * ((x * z) \ u)). [para(11048(a,1),7690(a,1,2,2))]. 11065 K(x * ((y * z) \ u),z) = K(x * ((z * y) \ u),z). [para(11048(a,1),7717(a,1,1,2))]. 11068 (K(x,y) * z) / ((y * x) \ z) = x * y. [hyper(586,a,11049,a)]. 11069 (x * y) * ((y * x) \ z) = K(x,y) * z. [hyper(307,a,11049,a),flip(a)]. 11070 ((x * y) / x) \ ((x * y) * z) = y \ ((y * x) * z). [hyper(72,a,11049,a(flip),b,5202,a)]. 11071 K(x \ y,x) * (y * z) = ((x \ y) * x) * z. [para(14(a,1),11049(a,1,2,1))]. 11072 K(x,y / x) * (y * z) = (x * (y / x)) * z. [para(16(a,1),11049(a,1,2,1))]. 11073 K(x,y) * (y * (x * z)) = (x * y) * L(z,x,y). [para(103(a,1),11049(a,1,2))]. 11075 (K(x,y) * (y * (x * z))) \ ((x * y) * z) = L(a(y,x,z),y * (x * z),K(x,y)). [para(11049(a,1),455(a,1,2))]. 11076 K(x,y) * ((y * R(x,z,u)) * x) = (x * y) * R(x,z,u). [para(1913(a,2),11049(a,1,2))]. 11077 K(T(x,y),z) * ((z * x) * y) = (T(x,y) * z) * T(y,x). [para(7618(a,1),11049(a,1,2))]. 11078 K(x \ ((y * z) * u),z) = K(x \ ((z * y) * u),z). [para(11049(a,1),8691(a,1,1,2)),flip(a)]. 11079 K(x,y) * ((y * R(x,z,R(x,u,w))) * v5) = (R(x,z,R(x,u,w)) * y) * v5. [para(8782(a,1),11049(a,1,1))]. 11080 K(x,T(y,z)) * ((y * x) * u) = K(y,K(x,z)) * ((x * y) * u). [para(11049(a,1),10512(a,1,2))]. 11081 L(x,y * z,K(z,y)) = x. [hyper(6091,a,11050,a)]. 11082 L(x,K(y,z),z * y) = L(x,u * w,K(w,u)). [hyper(236,a,11046,a,b,11081,a),flip(a)]. 11083 L(x,T(y,z) * z,K(z,y)) = x. [para(4993(a,1),11081(a,1,3))]. 11084 L(x,y,T(z,y)) = L(x,y,z). [hyper(6987,a,11083,a),flip(a)]. 11085 L(x,y,z / y) = L(x,y,y \ z). [para(121(a,1),11084(a,1,3)),flip(a)]. 11087 L(x \ y,x,x \ y) = T(y / x,y). [hyper(728,a,11085,a),flip(a)]. 11088 L(x \ 1,x,x \ y) = y \ (y / x). [hyper(236,a,350,a(flip),b,11085,a(flip))]. 11089 x * L(y,z,z \ x) = (x / z) * (z * y). [para(11085(a,1),434(a,1,2))]. 11090 L(x \ y,x,x \ y) != z | T(y / x,y) = z. [para(11085(a,1),728(a,1))]. 11091 K(L(x \ y,x,x \ z),T(u,z)) = K(((z / x) * y) / z,u). [para(11085(a,1),8129(a,1,1))]. 11092 L(x \ T(y,x \ y),x,x \ T(y,x \ y)) = y / x. [hyper(236,a,9425,a(flip),b,11087,a)]. 11095 (x \ (x / (y \ 1))) \ y = (L(y,y \ 1,(y \ 1) \ x) \ 1) * y. [para(11088(a,1),6963(a,1,1))]. 11096 (((x * y) / x) * x) \ (K((x * y) / x,x) * z) = (T(x,y) * y) \ z. [para(3875(a,2),11059(a,2,1))]. 11097 ((x \ y) * x) * (y \ z) = K(x \ y,x) * z. [para(14(a,1),11069(a,1,2,1))]. 11100 x \ ((x / y) * (y * z)) = L(z,y,y \ x). [hyper(80,a,11089,a)]. 11101 L(x \ T(y,z / x),x,x \ z) = z \ (y * (z / x)). [hyper(72,a,166,a(flip),b,11089,a),flip(a)]. 11102 (T((x \ y) * z,y \ x) * (((x \ y) * z) \ z)) \ u = K(((x \ y) * z) \ z,(((x \ y) * z) \ z) \ z) * (z \ u). [para(6363(a,2),11060(a,2,1,1)),flip(a)]. 11103 K(x * (((y \ z) * y) \ u),y \ z) = K(x * (z \ u),y \ z). [para(11060(a,1),7718(a,1,1,2))]. 11104 (x \ y) \ (((x \ y) * x) * z) = (y / x) \ (y * z). [hyper(72,a,11071,a(flip),b,5416,a)]. 11107 K(x,x \ y) * (y * z) = (x * (y / x)) * z. [para(4994(a,1),11072(a,1,1))]. 11108 L(x,K(y,z),z * y) != u | u = x. [para(11082(a,2),3613(a,1))]. 11109 (x * (y / x)) \ (K(x,x \ y) * (y * z)) = z. [hyper(545,a,11107,a)]. 11110 L(x,y,K(z,z \ y)) = x. [hyper(5300,a,11109,a)]. 11111 L(x,y,K(z,z \ y)) = (x * u) / u. [hyper(236,a,15,a,b,11110,a)]. 11112 L(x,y,K(z,z \ y)) != u | u = x. [para(11111(a,2),296(a,1))]. 11113 (K(x,y) * z) * (K(y,T(x,z)) * u) != w | (z * K(x,y)) * (K(y,x) * u) = w. [para(7295(a,1),11058(a,1,2))]. 11114 x * (K(y,x) * (y * z)) = (y * x) * L(z,y,x). [hyper(5879,a,11073,a)]. 11115 (x * y) * L(z,x,y) = y * (T(x,y) * z). [para(4906(a,1),11114(a,1,2)),flip(a)]. 11116 L(x,T(y,z),z) = L(x,y,z). [hyper(780,a,11115,a)]. 11117 (x * (T(y,x) * z)) / L(z,y,x) = y * x. [hyper(87,a,11115,a)]. 11118 L(x,y,z) = (y * z) \ (z * (T(y,z) * x)). [hyper(80,a,11115,a),flip(a)]. 11119 L(T(x,y) \ z,x,y) = (x * y) \ (y * z). [hyper(72,a,88,a(flip),b,11115,a),flip(a)]. 11121 L(L(x,y,z),K(u,w),w * u) = L(x,T(y,z),z). [hyper(236,a,11046,a,b,11116,a),flip(a)]. 11122 L(x,y / z,z) = L(x,z \ y,z). [para(121(a,1),11116(a,1,2)),flip(a)]. 11123 L(x,(y \ z) \ z,y \ z) = L(x,y,y \ z). [para(120(a,1),11116(a,1,2))]. 11127 L((x / y) \ z,y \ x,y) = (y * (x / y)) \ (y * z). [hyper(236,a,105,a(flip),b,11122,a(flip))]. 11128 (x * y) \ (y * (x * z)) = L(K(y,x) * z,x,y). [para(5207(a,1),11118(a,2,2,2)),flip(a)]. 11129 L(x,T(y,z),z) != u | L(x,y,z) = u. [para(11121(a,1),11108(a,1)),flip(b)]. 11131 K(x \ y,x) * (y \ z) = (x * (y / x)) \ z. [para(5079(a,1),11057(a,1,1)),flip(a)]. 11132 (x \ y) \ L((x / (y / z)) \ z,x / (y / z),y / z) = T(K((y / z) \ x,y / z),x \ y). [hyper(394,a,454,a,b,11131,a),flip(a)]. 11133 (x \ y) \ ((z * (x / z)) \ y) = K(z \ x,T(z,x \ y)). [hyper(72,a,11131,a(flip),b,7281,a)]. 11134 T((x * (y / x)) \ z,K(x,x \ y)) = (y \ z) * K(x \ y,x). [para(11131(a,1),7988(a,1,1))]. 11135 ((x \ y) * x) * (y \ z) = y * ((x * (y / x)) \ z). [para(11131(a,1),11047(a,1,2)),flip(a)]. 11136 K(x \ ((y * x) * z),x) * (((x * y) * z) / x) = x \ ((x * y) * z). [para(11078(a,2),5020(a,1,1))]. 11137 x * ((y * (x / y)) \ z) = K(y \ x,y) * z. [hyper(236,a,11097,a(flip),b,11135,a(flip))]. 11138 L(x \ T(y,L(1 / x,x,z)),x,x \ (x * ((z * x) \ z))) = (x * ((z * x) \ z)) \ (y * ((x * ((z * x) \ z)) / x)). [para(800(a,1),11101(a,1,1,2,2))]. 11139 K(x,T(y / (R(x,z,u) * w),y)) = K(x,(w * R(x,z,u)) \ y). [hyper(7821,a,11062,a)]. 11140 K(x,T(y,z)) * ((y * x) * z) = (T(x,z) * y) * T(z,x). [hyper(8496,a,11077,a)]. 11141 (x \ y) \ ((z * (x / z)) \ y) != u | K(z \ x,T(z,y)) = u. [para(11133(a,2),8876(a,1))]. 11142 K(x,(y * R(x,z,u)) \ w) != v5 | K(x,(R(x,z,u) * y) \ w) = v5. [para(11139(a,1),7297(a,1))]. 11143 K(x,y / T(z \ 1,z * (x * y))) = K(x,(z \ 1) \ y). [hyper(236,a,10655,a(flip),b,11031,a(flip))]. 11144 (x * y) \ (K((x * y) / x,x) * z) = (T(x,y) * y) \ z. [para(16(a,1),11096(a,1,1))]. 11146 (x * y) \ (K(x \ (x * y),x) * z) = (T(x,y) * y) \ z. [para(4997(a,1),11144(a,1,2,1))]. 11147 (x * y) \ (K(y,x) * z) = (T(x,y) * y) \ z. [para(13(a,1),11146(a,1,2,1,1))]. 11148 K(x,y) * ((y * x) \ z) = (T(y,x) * x) \ z. [hyper(236,a,10760,a(flip),b,11147,a(flip)),flip(a)]. 11150 (R(x,y,R(x,z,u)) * w) * x = (x * w) * R(x,y,R(x,z,u)). [hyper(236,a,11076,a(flip),b,11079,a(flip))]. 11151 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),y / R(x,z,u)). [hyper(236,a,42,a,b,11015,a(flip)),flip(a)]. 11152 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = T(R(x,z,u),R(x,z,u) \ y). [hyper(236,a,4119,a(flip),b,11151,a)]. 11153 R(T(x,(y * (z * u)) / ((x * z) * u)),z,u) = R(T(x,R(x,z,u) \ y),z,u). [hyper(236,a,42,a,b,11152,a)]. 11154 R(T(x,x \ ((y * (z * u)) / (z * u))),z,u) = R(T(x,R(x,z,u) \ y),z,u). [para(11038(a,1),11153(a,1,1))]. 11155 R(T(x,R(x,y,z) \ u),y,z) = R(T(x,x \ u),y,z). [para(15(a,1),11154(a,1,1,2,2)),flip(a)]. 11156 R(T(x,x \ y),z,u) = (R(x,z,u) \ y) \ y. [hyper(561,a,11155,a),flip(a)]. 11157 (R(x,y,z) * u) / (R(T(x,x \ w),y,z) * u) = K(R(x,y,z) \ w,R(x,y,z)). [para(11155(a,1),5348(a,1,2,1))]. 11158 R((x \ y) \ y,z,u) = (R(x,z,u) \ y) \ y. [hyper(236,a,990,a(flip),b,11156,a(flip)),flip(a)]. 11159 (R(x,y,z) \ (x * u)) \ (x * u) = R(T(x,u),y,z). [para(13(a,1),11156(a,1,1,2)),flip(a)]. 11160 (R(K(x,y),z,u) \ w) \ w = R(T(K(x,y),w),z,u). [para(8626(a,1),11156(a,1,1)),flip(a)]. 11161 (R(x / y,z,u) \ x) \ x = R(y \ x,z,u). [para(65(a,1),11158(a,1,1,1)),flip(a)]. 11164 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ ((R(x,z,u) * y) / R(x,z,u))) \ y. [para(5670(a,1),11158(a,2,1))]. 11167 K(x,R(x / y,z,u) \ w) = K(x,R(y \ x,z,u) \ w). [para(11161(a,1),10133(a,1,2,1)),flip(a)]. 11168 R(T(x,R(x,y,z) * u),y,z) = (x * u) \ (x * (R(x,y,z) * u)). [para(1500(a,1),11159(a,1,1)),flip(a)]. 11169 ((K(x,y) * z) * u) \ (z * u) = R(T(K(y,x),z * u),z,u). [para(6804(a,1),11160(a,1,1))]. 11170 ((K(x,y) * z) * u) \ (z * u) = R(K(y,T(x,z * u)),z,u). [para(7256(a,2),11169(a,2,1))]. 11171 ((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(8449(a,1),11170(a,2,1))]. 11172 R(T(x,R(x,y,z) * u),y,z) = L(T(R(x,y,z),u),u,x). [hyper(236,a,178,a(flip),b,11168,a)]. 11173 R(T(x,R(x,y,z) * u),y,z) = L(R(T(x,u),y,z),u,x). [para(42(a,2),11172(a,2,1))]. 11174 R(T(x,R(x,y,z) * u),y,z) = R(T(x,x * u),y,z). [hyper(236,a,597,a(flip),b,11173,a)]. 11175 R(T(x,x * y),z,u) \ R(x,z,u) = K(R(x,z,u) * y,R(x,z,u)). [para(11174(a,1),4839(a,1,1))]. 11176 K(R(x,y,z) * u,R(x,y,z)) = K(x * u,R(x,y,z)). [hyper(5125,a,11175,a),flip(a)]. 11177 K(x * R(y,z,u),R(y,z,u)) = K(y * x,R(y,z,u)). [hyper(8418,a,11176,a)]. 11178 K(x * R(y,z,u),R(y,z,u)) = K(x * y,R(y,z,u)). [hyper(236,a,10112,a,b,11177,a)]. 11179 K(x,T(y / (x * z),u)) = K(x,T(x \ (y / z),u)). [hyper(9125,a,11018,a),flip(a)]. 11180 K(x,T(x \ (y / z),y)) = K(x,(x * z) \ y). [hyper(7297,a,11179,a),flip(a)]. 11181 K(x,T(x \ (y / z),y)) = K(x,z \ (x \ y)). [hyper(236,a,8280,a(flip),b,11180,a)]. 11182 K(x,(y \ z) \ (x \ z)) = K(x,T(x \ y,z)). [para(62(a,1),11181(a,1,2,1,2)),flip(a)]. 11183 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(1 / z) \ y)). [hyper(236,a,9166,a,b,11182,a(flip)),flip(a)]. 11184 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,(z \ 1) \ y)). [para(4501(a,1),11183(a,2,2))]. 11185 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z \ 1)). [hyper(236,a,9351,a(flip),b,11184,a)]. 11186 K(x,L(x \ T(y,z),x,y \ ((1 / z) \ y))) = K(x,T(x \ y,z)). [hyper(236,a,9343,a(flip),b,11185,a)]. 11187 K(x,x \ T(y,z)) = K(x,T(x \ y,z)). [hyper(10721,a,11186,a)]. 11189 K(x,T(T(x,y) \ z,u)) = K(x,x \ T(z,u)). [hyper(236,a,8882,a,b,11187,a),flip(a)]. 11190 K(T(x,y),x \ z) = K(x,x \ T(z,y)). [hyper(236,a,7260,a,b,11187,a),flip(a)]. 11192 K(K(x,y) * z,z \ x) = K(z,T(z \ x,y)). [hyper(236,a,8967,a,b,11187,a(flip)),flip(a)]. 11193 x * K(x,T(x \ y,z)) = T(x,x \ T(y,z)). [para(11187(a,1),4887(a,2,2)),flip(a)]. 11194 K(x,T(x \ y,z)) * T(y,z) = x * (T(y,z) / x). [para(11187(a,1),4909(a,1,1))]. 11195 T(x,y) * K(z,T(z \ x,y)) != u | z * (T(x,y) / z) = u. [para(11187(a,1),5323(a,1,2))]. 11196 K(x,x \ T(y,z)) != u | K(x,T(x \ y,z)) = u. [para(11190(a,1),7823(a,1))]. 11197 x / (x * K(y,y \ T(z,u))) = K(y \ z,T(T(y,u),x)). [para(11190(a,1),8157(a,1,2,2))]. 11198 K(x,T(x \ y,z)) * (K(y,z) * x) = T(K(y,z) * x,x \ y). [para(11192(a,1),4897(a,2,1)),flip(a)]. 11199 T(x,x \ T(y,z)) = T(x,T(x \ y,z)). [hyper(4890,a,11193,a),flip(a)]. 11200 T((x \ y) * x,z) \ T(y,z) != u | K(x,T(x \ y,z)) = u. [para(4657(a,2),11196(a,1))]. 11201 K(K(x,y) * z,z \ x) != u | K(z,T(z \ x,y)) = u. [para(8967(a,2),11196(a,1))]. 11202 K(x,T(x \ y,z)) * T(y,z) = T(x * (y / x),z). [hyper(236,a,4615,a,b,11194,a)]. 11203 K(x \ T(y,z),T(x,u)) = K(x \ y,T(T(x,z),u)). [hyper(8158,a,11197,a)]. 11204 T(K(x,y) * z,z \ x) = T(z,z \ x) * K(x,y). [hyper(236,a,9673,a(flip),b,11198,a(flip))]. 11205 (x \ y) * T(K(y,z) * x,x \ y) = (y / x) * (x * K(y,z)). [para(11204(a,2),5781(a,1,2))]. 11206 (K(x,y) * z) * (z \ x) = (x / z) * (z * K(x,y)). [hyper(220,a,11205,a)]. 11207 (x * (K(y,x) * (y * z))) \ ((y * x) * z) = L(a(x,y,z),x * (y * z),K(y,x)). [para(5363(a,1),11075(a,1,1))]. 11208 K(R(x,y,z) \ u,R(x,y,z)) = K(x \ u,R(x,y,z)). [hyper(5615,a,11157,a),flip(a)]. 11211 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(11208(a,1),4810(a,1,1,2))]. 11212 L(a(x,y,z),x * (y * z),K(y,x)) = (x * (T(y,x) * z)) \ ((y * x) * z). [para(4906(a,1),11207(a,1,1,2)),flip(a)]. 11213 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,T(u / (x * (y * z)),y * z)). [hyper(236,a,7260,a(flip),b,10984,a)]. 11214 R(((x * K(y,x)) \ y) \ y,z,u) = (R(x,z,u) \ y) \ T(y,R(x,z,u)). [hyper(236,a,6179,a(flip),b,11164,a)]. 11215 (R(x,y,z) \ u) \ T(u,R(x,y,z)) = R((x \ u) \ T(u,x),y,z). [para(6177(a,1),11214(a,1,1)),flip(a)]. 11216 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(5658(a,1),11211(a,1,1))]. 11217 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(236,a,42,a,b,11216,a(flip)),flip(a)]. 11218 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = R(L(x,x \ u,x),y,z). [para(4810(a,1),11217(a,1,1)),flip(a)]. 11219 L(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = L(R(x,y,z),x \ u,x). [hyper(236,a,44,a(flip),b,11218,a)]. 11220 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(11219(a,1),2088(a,1,1,1)),flip(a)]. 11221 K(T(x,y * z),u / ((y * T(x,y * z)) * z)) = K(x,(y * z) \ (x \ u)). [hyper(236,a,8766,a(flip),b,11213,a)]. 11222 K(x,T(y / ((z * T(x,z * u)) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(7823,a,11221,a)]. 11223 K(x,T(y / ((z * x) * u),z * u)) = K(x,(z * u) \ (x \ y)). [hyper(236,a,10543,a(flip),b,11222,a(flip)),flip(a)]. 11225 K(x,((y * x) * z) \ u) = K(x,(y * z) \ (x \ u)). [hyper(236,a,9878,a(flip),b,11223,a(flip)),flip(a)]. 11226 K(x,((y * x) * (y \ 1)) \ z) = K(x,x \ z). [para(125(a,1),11225(a,2,2))]. 11227 K(x,a(x,y,y \ 1) \ z) = K(x,x \ (x * z)). [hyper(236,a,9906,a(flip),b,11226,a(flip)),flip(a)]. 11229 K(x,a(x,y,y \ 1) \ z) = K(x,z). [para(13(a,1),11227(a,2,2))]. 11230 K(x,a(x,y,y \ 1) * z) = K(x,z). [para(13(a,1),11229(a,1,2)),flip(a)]. 11232 T((a(x,y,y \ 1) * z) * K(x,z),x) = a(x,y,y \ 1) * z. [para(11230(a,1),4853(a,1,1,2))]. 11233 T(a(x,y,y \ 1) * (z * K(x,z)),x) = a(x,y,y \ 1) * z. [para(7701(a,1),11232(a,1,1))]. 11234 (x \ y) \ L((x / (y / z)) \ z,x / (y / z),y / z) = T(K(y \ (z * x),y / z),x \ y). [para(10757(a,1),11132(a,2,1))]. 11235 (x \ y) \ L((x / (y / z)) \ z,x / (y / z),y / z) = K(y \ (z * x),T(y / z,x \ y)). [hyper(236,a,7256,a,b,11234,a)]. 11236 (x \ y) \ (((y / z) * (x / (y / z))) \ y) = K(y \ (z * x),T(y / z,x \ y)). [para(454(a,1),11235(a,1,2))]. 11237 K(x \ (y * z),T(x / y,z \ x)) = K((x / y) \ z,T(x / y,x)). [hyper(11141,a,11236,a),flip(a)]. 11238 K(x \ (y * z),T(x / y,z \ x)) = K((x / y) \ z,y \ x). [hyper(236,a,7271,a(flip),b,11237,a)]. 11239 K(x \ (y * z),T(x / y,z \ x)) = K(x \ (y * z),y \ x). [hyper(236,a,10750,a(flip),b,11238,a)]. 11240 R(x,x \ 1,y \ R(y,x \ 1,y)) = x. [hyper(8604,a,8752,a)]. 11241 R(x,x \ 1,a(y,x \ 1,y)) = x. [para(9038(a,1),11240(a,1,3))]. 11242 (x \ 1) * a(y,x \ 1,y) = x \ a(y,x \ 1,y). [para(11241(a,1),387(a,1,1)),flip(a)]. 11243 T(x \ a(y,x \ 1,y),y) = y \ T(y * (x \ 1),y). [para(11242(a,1),9066(a,1,1))]. 11244 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(11243(a,1),2041(a,1,1)),flip(a)]. 11245 (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(4856(a,1),8780(a,1,1))]. 11246 a(x,K(x,y) * z,R(x,u,w)) = a(T(x,y),z,R(x,u,w)). [hyper(679,a,11245,a),flip(a)]. 11247 a(x,K(x,y) * z,R(x,u,w)) != v5 | a(T(x,y),z,R(x,u,w)) = v5. [para(11245(a,1),679(a,1))]. 11248 a(T(x,y),T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [para(5178(a,1),11246(a,1,2)),flip(a)]. 11249 K(K(x,y) * z,T((K(x,y) * z) \ z,u)) = ((u * (K(x,y) * z)) / u) / ((u * (z * K(x,y))) / u). [para(7547(a,1),9605(a,2,2,1,2))]. 11250 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(236,a,8806,a(flip),b,9861,a)]. 11251 K(x,((y / z) * L(z,u,w)) \ (y * L(z,u,w))) = L(K(x,z),L(z,u,w),y). [para(263(a,1),11250(a,2,1,2))]. 11252 L(K(x,y),L(y,z,u),w) = K(x,y). [para(1661(a,1),11251(a,1,2)),flip(a)]. 11253 K((x \ 1) * L(y,z,u),y) = K(x \ L(y,z,u),y). [hyper(6596,a,11252,a)]. 11254 a(x,L(y,z,u),K(w,y)) = 1. [hyper(73,a,11252,a,b,10178,a),flip(a)]. 11255 K((x \ y) \ L(z,u,w),z) = K(y \ (x * L(z,u,w)),z). [hyper(236,a,6568,a(flip),b,11252,a(flip))]. 11256 ((K(x,y) * z) * ((K(y,x) \ 1) \ 1)) * K(u,y) = ((1 / (1 / K(y,x))) \ z) * (K(y,x) * K(u,y)). [para(5260(a,1),9884(a,1,1,1))]. 11257 K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(x / y,T(z,u)) \ T(K(y \ x,z),u). [para(62(a,1),9986(a,1,2,1)),flip(a)]. 11259 K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(x / y,T(z,u)) \ K(y \ x,T(z,u)). [para(7256(a,2),11257(a,2,2))]. 11260 K(K(x / y,z) \ x,T(K(x / y,z),u)) = K(z,T(x / y,u)) * K(y \ x,T(z,u)). [hyper(236,a,7323,a(flip),b,11259,a)]. 11261 K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(y / z,K(y,T(x,u))). [hyper(236,a,8256,a(flip),b,11260,a(flip))]. 11263 K(x,T(y / z,u)) * K(z \ y,T(x,u)) != w | K(y,K(z,T(x,u))) = w. [para(11261(a,2),9273(a,1))]. 11264 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(236,a,8191,a(flip),b,10507,a)]. 11265 K(L(x,y,z),x \ ((u * (x \ (1 / L(x,y,z)))) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(236,a,10822,a(flip),b,10755,a(flip)),flip(a)]. 11266 K(L(x,y,z),(u * (1 / L(x,y,z))) \ w) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(10794,a,11265,a)]. 11267 K(L(x,y,z),L(x,y,z) * ((u * 1) \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [hyper(10885,a,11266,a)]. 11268 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (1 / x)) \ w). [para(12(a,1),11267(a,1,2,2,1))]. 11269 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),(u * (x \ 1)) \ w). [hyper(236,a,5489,a(flip),b,11268,a)]. 11270 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * ((u * 1) \ w)). [hyper(236,a,10915,a(flip),b,11269,a)]. 11271 K(L(x,y,z),L(x,y,z) * (u \ w)) = K(L(x,y,z),x * (u \ w)). [para(12(a,1),11270(a,2,2,2,1))]. 11272 R(R(x,y,z * u),y * (z * u),K(z,u)) = ((x * y) * (T(z,u) * u)) / (y * (T(z,u) * u)). [para(10758(a,1),10759(a,1,2)),flip(a)]. 11273 R(R(x,y,z * u),y * (z * u),K(z,u)) != w | R(x,y,T(z,u) * u) = w. [para(11272(a,2),475(a,1))]. 11274 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(7316(a,1),10914(a,2,2))]. 11275 (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(5979(a,1),11171(a,1,1))]. 11276 ((x * (K(y,z) * u)) / x) / ((x * (u * K(y,z))) / x) = K(K(y,z) * u,T(K(z,T(y,u)),x)). [para(7591(a,1),11249(a,1,2,1)),flip(a)]. 11277 ((x * (K(y,z) * u)) / x) / ((x * (u * K(y,z))) / x) = K(K(y,z) * u,K(z,T(T(y,u),x))). [para(7256(a,2),11276(a,2,2))]. 11278 ((x * (K(y,z) * u)) / x) / ((x * (u * K(y,z))) / x) = K(z,K(K(y,z) * u,T(T(y,u),x))). [hyper(236,a,7919,a,b,11277,a)]. 11279 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = ((K(y,x) * z) * K(x,y)) * K(u,x). [para(2301(a,1),11256(a,1,1,2)),flip(a)]. 11280 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z,K(x,y)) * K(u,x). [para(7395(a,1),11279(a,2,1))]. 11281 ((1 / (1 / K(x,y))) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [hyper(236,a,8934,a,b,11280,a)]. 11282 (K(x,y) \ z) * (K(x,y) * K(u,x)) = T(z * K(u,x),K(x,y)). [para(2304(a,1),11281(a,1,1,1))]. 11283 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(y,x)). [para(5260(a,1),11282(a,1,1))]. 11284 (K(x,y) * z) * (K(y,x) * K(u,y)) = T(z * K(u,y),K(x,y)). [hyper(236,a,7981,a,b,11283,a)]. 11285 (K(x,y) * z) * (K(u,y) * K(y,x)) = T(z * K(u,y),K(x,y)). [para(2192(a,1),11284(a,1,2))]. 11286 T(x * K(y,z),K(u,z)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(K(u,z) * x,K(y,z) * K(z,u)). [hyper(74,a,11285,a(flip),b,4900,a)]. 11287 (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(8047(a,1),11275(a,1,1,2))]. 11288 R(K(x,L(y,z,L(y,u,w))),L(y,u,w),z) = K(x,y). [hyper(8946,a,11287,a),flip(a)]. 11289 R(K(x,y),L(y,z,u),w) = K(x,y). [para(9776(a,1),11288(a,1,1))]. 11290 K((L(x,y,z) * u) / w,x) = K(L(x,y,z) / (w / u),x). [hyper(236,a,6689,a(flip),b,11289,a(flip)),flip(a)]. 11292 K((L(x,y,z) * u) / w,x) = K((w / u) \ L(x,y,z),x). [hyper(236,a,6309,a(flip),b,11290,a)]. 11293 K((((L(x,y,z) \ u) \ w) \ w) \ w,x) = K((u / w) \ L(x,y,z),x). [hyper(236,a,10494,a,b,11292,a(flip)),flip(a)]. 11294 K((x / y) \ L(z,u,w),z) != v5 | K(y / (L(z,u,w) \ x),z) = v5. [para(11293(a,1),8395(a,1))]. 11295 x * (R(y,x,y) * L(R(y,x,y) \ (x \ z),u,w)) = T(y * x,y) * L(T(y * x,y) \ z,u,w). [para(4227(a,1),4239(a,2,2,1,1))]. 11296 K(R(x \ y,z,u),w \ (y / x)) = K(R(x \ y,z,u),w \ (x \ y)). [hyper(7668,a,8734,a),flip(a)]. 11297 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(5033(a,1),11296(a,1,2)),flip(a)]. 11298 K(x,y) * (R(K(z,y),K(x,y),u) * u) = (K(z,y) * K(x,y)) * u. [para(15(a,1),10516(a,1,1,1)),flip(a)]. 11300 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(236,a,2088,a(flip),b,11220,a)]. 11301 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),11300(a,2,3))]. 11302 T(R(((x \ R(x,y,z)) \ 1) \ 1,x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(3514(a,2),3709(a,1,1))]. 11303 x / L(L(y \ 1,z,u) \ (y \ 1),L(1 / y,z,u),x / (y \ 1)) = (x / (1 / y)) * L(1 / y,z,u). [para(3848(a,1),4783(a,1,2))]. 11304 L(L(x,y,z / u),(z / u) * y,K(u \ z,u)) = ((u \ z) * y) \ ((u \ z) * (y * x)). [para(5546(a,1),5771(a,1,2)),flip(a)]. 11305 L(L(x,y,z / u),(z / u) * y,K(u \ z,u)) != w | L(x,y,u \ z) = w. [para(11304(a,2),447(a,1))]. 11306 L(x \ y,z,y / x) = L(x \ y,z,x \ y). [hyper(11305,a,7194,a),flip(a)]. 11307 (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = ((y * x) \ x) * R(((y * x) \ x) \ 1,z,u). [para(5957(a,1),5962(a,2,2,1,1))]. 11308 (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = (y * x) \ (x * R(x \ (y * x),z,u)). [hyper(236,a,1542,a(flip),b,11307,a)]. 11309 (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = (y * x) \ (x * R(T(y,x),z,u)). [para(32(a,2),11308(a,2,2,2,1))]. 11310 (x * y) \ (T(x,y) * R(T(x,y) \ (x * y),z,u)) = (y * x) \ (R(y,z,u) * x). [para(182(a,1),11309(a,2,2))]. 11311 (x * y) \ (T(x,y) * R(T(y,x),z,u)) = (y * x) \ (R(y,z,u) * x). [para(4110(a,1),11310(a,1,2,2,1))]. 11312 (x * y) \ (R(y,z,u) * T(x,y)) = (y * x) \ (R(y,z,u) * x). [para(4123(a,1),11311(a,1,2))]. 11313 ((x * y) * z) \ (R(z,x,y) * T(x * y,z)) = (z * (x * y)) \ ((z * x) * y). [para(113(a,1),11312(a,2,2))]. 11314 K((x * (y / z)) \ x,((x * (y / z)) \ x) \ x) = (K(x * (y / z),z / y) * x) \ x. [para(4857(a,1),6528(a,2,1))]. 11315 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,((y * z) * R(x,y,z)) / ((u * y) * z)). [hyper(236,a,10572,a(flip),b,6899,a(flip))]. 11317 T(x \ 1,y * x) * L(T(x \ 1,x * y) \ 1,z,u) = T(x \ L(x,z,u),y * x). [para(1051(a,1),7110(a,2,1))]. 11318 T((x \ 1) * L((x \ 1) \ 1,y,z),x * u) = T(x \ L(x,y,z),u * x). [hyper(236,a,11317,a(flip),b,7111,a(flip))]. 11319 T(x \ L(x,y,z),u * x) = T(x \ L(x,y,z),x * u). [para(1051(a,1),11318(a,1,1)),flip(a)]. 11320 x \ ((x / ((y * z) / y)) * ((z \ 1) * ((y * z) / y))) = T(x \ (x / z),(y * z) / y). [para(4886(a,1),7704(a,1,2,2,1))]. 11322 x \ ((x / ((y * z) / y)) * ((T(z,y) \ 1) * z)) = T(x \ (x / z),(y * z) / y). [para(5810(a,1),11320(a,1,2,2))]. 11323 (1 / ((x * y) / x)) * ((T(y,x) \ 1) * y) = T(1 \ (1 / y),(x * y) / x). [hyper(308,a,11322,a)]. 11324 (1 / ((x * y) / x)) * ((T(y,x) \ 1) * y) = T(1 / y,(x * y) / x). [para(50(a,1),11323(a,2,1))]. 11325 (1 / ((x * y) / x)) \ (y \ 1) = (T(y,x) \ 1) * y. [hyper(72,a,3189,a(flip),b,11324,a)]. 11326 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(8593(a,1),8756(a,1,1,1))]. 11327 ((1 * x) \ 1) \ (y \ (y / (1 / ((1 * x) \ 1)))) = ((x \ 1) \ 1) * (y \ (y / T(1 * x,x \ 1))). [para(11(a,1),10083(a,1,1,1,1)),flip(a)]. 11328 ((1 * x) \ 1) \ (y \ (y / (1 / ((1 * x) \ 1)))) = ((x \ 1) \ 1) * (y \ (y / T(x,x \ 1))). [para(11(a,1),11327(a,2,2,2,2,1))]. 11329 ((1 * x) \ 1) \ (y \ (y / (1 / ((1 * x) \ 1)))) = ((x \ 1) \ 1) * T(y \ (y / x),x). [para(2782(a,1),11328(a,2,2))]. 11330 ((1 * x) \ 1) \ (y \ (y / (1 / ((1 * x) \ 1)))) = (y \ (y / x)) * T(x,x \ 1). [hyper(236,a,3047,a(flip),b,11329,a)]. 11331 ((1 * x) \ 1) \ (y \ (y / (1 / ((1 * x) \ 1)))) = x * (y \ (y / x)). [hyper(236,a,6388,a(flip),b,11330,a)]. 11332 (x \ 1) \ (y \ (y / (1 / ((1 * x) \ 1)))) = x * (y \ (y / x)). [para(11(a,1),11331(a,1,1,1))]. 11333 (x \ 1) \ (y \ (y / (1 / (x \ 1)))) = x * (y \ (y / x)). [para(11(a,1),11332(a,1,2,2,2,2,1))]. 11334 (x \ 1) \ (y \ (y / x)) = x * (y \ (y / x)). [para(62(a,1),11333(a,1,2,2,2))]. 11335 K(x \ 1,x) * (x * (y \ (y / x))) = (1 / x) \ (y \ (y / x)). [para(11334(a,1),2918(a,1,2))]. 11336 K(x \ (x / y),(x \ (x / y)) \ 1) * (y * (x \ (x / y))) = (y \ 1) \ T(x \ (x / y),(x \ (x / y)) \ 1). [para(11334(a,1),4578(a,1,2))]. 11337 x * (K(x \ 1,x) * (y \ (y / x))) = (1 / x) \ (y \ (y / x)). [hyper(5879,a,11335,a)]. 11338 (1 / x) \ (y \ (y / x)) = x * T(y \ (y / x),x). [para(6338(a,1),11337(a,1,2)),flip(a)]. 11339 (1 / x) \ (y \ (y / x)) = (y \ (y / x)) * x. [hyper(236,a,119,a(flip),b,11338,a)]. 11340 (x \ (x / (y \ 1))) * (y \ 1) = y \ (x \ (x / (y \ 1))). [hyper(519,a,11339,a),flip(a)]. 11341 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(236,a,10849,a(flip),b,10472,a(flip))]. 11342 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(K(u,z) * x,K(y,z) * K(z,u)). [para(7981(a,1),11286(a,1,1))]. 11343 x / L(L(y \ 1,z,u) \ (y \ 1),L(y \ 1,z,u),x / (y \ 1)) = (x / (1 / y)) * L(1 / y,z,u). [para(7008(a,1),11303(a,1,2))]. 11344 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(236,a,11271,a(flip),b,11341,a)]. 11345 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(236,a,10893,a(flip),b,11344,a)]. 11347 K(L(x,y,z),u \ L(x,y,z)) = K(L(x,y,z),u \ x). [para(2599(a,1),11345(a,1,2))]. 11348 K(x \ L(y,z,u),L(y,z,u)) = (w * K(L(y,z,u),x \ y)) \ w. [para(11347(a,1),7549(a,1,1,2)),flip(a)]. 11349 K(x \ L(y,z,u),L(y,z,u)) = K(x \ y,L(y,z,u)). [hyper(236,a,7647,a(flip),b,11348,a)]. 11350 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(11349(a,1),6472(a,1,1,2))]. 11351 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(10895(a,1),11350(a,1,1,2))]. 11352 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(50(a,1),11351(a,1,1,2,1,2))]. 11353 T(L(x * K(x * y,x),z,u),y) = y \ T(L(x,z,u) * y,L(x,z,u)). [para(5656(a,1),11352(a,1,1))]. 11354 L(T(x * K(x * y,x),y),z,u) = y \ T(L(x,z,u) * y,L(x,z,u)). [hyper(236,a,40,a,b,11353,a(flip)),flip(a)]. 11355 x \ T(L(y,z,u) * x,L(y,z,u)) = L(R(y,x,y),z,u). [para(5494(a,1),11354(a,1,1)),flip(a)]. 11356 R(L(x,y,z),u,L(x,y,z)) = L(R(x,u,x),y,z). [hyper(4238,a,11355,a)]. 11357 (x * y) * L(R(z,u,z),y,x) = x * (y * R(z,u,L(z,y,x))). [para(11356(a,1),443(a,1,2))]. 11358 K(x,L(R(y,z,y),u,w)) != v5 | K(x,L(y,u,w)) = v5. [para(11356(a,1),7236(a,1,2))]. 11359 K(x,L((y \ z) \ z,u,w)) != v5 | K(x,L(T(y,z),u,w)) = v5. [para(8385(a,1),11358(a,1,2,1))]. 11360 K(L(x,y * (x \ z),u),y) != w | K(x,L(y,z,u)) = w. [para(10625(a,1),11358(a,1))]. 11361 K(x,L(T(y / z,y \ z) \ 1,u,w)) != v5 | K(x,L(T((y / z) \ 1,1),u,w)) = v5. [para(2582(a,2),11359(a,1,2,1,1))]. 11362 K(x,L(T(y \ z,y),u,w)) != v5 | K(x,L(T(y \ z,z),u,w)) = v5. [para(4108(a,2),11359(a,1,2,1))]. 11363 x * R(y,z,L(y,x,u)) = x * R(y,z,y). [hyper(437,a,11357,a),flip(a)]. 11364 R(x,y,L(x,z,u)) = R(x,y,x). [hyper(317,a,11363,a),flip(a)]. 11366 T(x * K(y * x,x),y) = R(x,y,L(x,z,u)). [hyper(236,a,5037,a,b,11364,a),flip(a)]. 11369 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(11178(a,1),11366(a,1,1,2))]. 11370 K(x,L(T(y \ z,z),u,w)) = K(x,L(z / y,u,w)). [hyper(11362,a,8488,a)]. 11371 T(R(x * K(y * x,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [para(5658(a,1),11369(a,1,1))]. 11372 T(R(x * K(x * y,x),z,u),y) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [para(5559(a,1),11371(a,1,1,1,2))]. 11373 R(T(x * K(x * y,x),y),z,u) = R(R(x,z,u),y,L(R(x,z,u),w,v5)). [hyper(236,a,42,a,b,11372,a(flip)),flip(a)]. 11374 R(R(x,y,z),u,L(R(x,y,z),w,v5)) = R(R(x,u,x),y,z). [para(5494(a,1),11373(a,1,1)),flip(a)]. 11375 R(R(x,y,z),u,R(x,y,z)) = R(R(x,u,x),y,z). [hyper(236,a,11364,a(flip),b,11374,a(flip)),flip(a)]. 11376 (R(x,y,R(x,z,u)) * z) * u = R(R(x,y,x),z,u) * (z * u). [para(11375(a,1),472(a,1,1)),flip(a)]. 11377 (R(x,y,R(x,z,u)) * z) * u = (R(x,y,x) * z) * u. [hyper(236,a,113,a(flip),b,11376,a)]. 11378 (R(T(x,y),z,T(x,y)) * u) * w = (R(T(x,y),z,R(x,u,w)) * u) * w. [para(10349(a,1),11377(a,1,1,1)),flip(a)]. 11379 (x / (1 / y)) * L(1 / y,z,u) != w | (x / (y \ 1)) * L(y \ 1,z,u) = w. [para(11343(a,1),730(a,1))]. 11380 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * (K(y,x) \ 1),z). [para(6817(a,1),5338(a,1,1,2,1)),flip(a)]. 11381 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T((x * K(y,x)) * K(x,y),z). [para(5093(a,1),11380(a,2,1,2))]. 11383 (x * K(y,x)) * (T(x,z) * (x \ K(x,y))) = T(x,z). [para(7540(a,1),11381(a,2,1))]. 11384 T(x,y) / (T(x,y) * (x \ K(x,z))) = x * K(z,x). [hyper(87,a,11383,a)]. 11385 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(11384(a,1),3063(a,1,1,1)),flip(a)]. 11386 T(x,y) * T(x \ K(x,z),(x \ K(x,z)) \ 1) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(5982(a,1),11385(a,2,1))]. 11387 T(x,y) * T(x \ K(x,z),(x \ 1) \ K(z,x)) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(5790(a,1),11386(a,1,2,2))]. 11388 T(x,y) * T(x \ K(x,z),T(x,z)) = ((x \ 1) \ K(z,x)) \ T(x,y). [para(8166(a,1),11387(a,1,2))]. 11389 ((x \ 1) \ K(y,x)) \ T(x,z) = T(x,z) * T(x \ K(x,y),x). [para(8382(a,1),11388(a,1,2)),flip(a)]. 11390 ((x \ 1) \ K(y,x)) \ T(x,z) = (x \ K(x,y)) * T(x,z). [hyper(236,a,8485,a(flip),b,11389,a)]. 11392 K((x \ y) \ 1,((z \ K(z,u)) * T(z,w)) \ 1) = K(y \ x,T(z,w) \ ((z \ 1) \ K(u,z))). [para(11390(a,1),6419(a,1,2,1))]. 11393 K((x * (K(y,x) / T(x,z))) \ 1,((u \ K(u,w)) * T(u,v5)) \ 1) = K(((x \ 1) \ K(y,x)) \ T(x,z),T(u,v5) \ ((u \ 1) \ K(w,u))). [para(8683(a,1),11392(a,1,1,1))]. 11394 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = (x * K(z * L(y,u,w),y)) * K(y,z). [hyper(236,a,7708,a(flip),b,6722,a)]. 11395 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = x * (K(y,z) * K(z * L(y,u,w),y)). [hyper(236,a,9020,a(flip),b,11394,a)]. 11396 (x / (y * K(z,y))) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(10259(a,1),11395(a,2,2))]. 11397 ((x / y) * K(y,z)) * R(y * K(z,y),z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [hyper(6356,a,11396,a)]. 11398 ((x / y) * K(y,z)) * (y * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). [para(6719(a,1),11397(a,1,2))]. 11399 (x / y) * (T(y,z) * K(z * L(y,u,w),y)) = x * a(y,z,L(y,u,w)). [hyper(236,a,9546,a(flip),b,11398,a(flip)),flip(a)]. 11400 (x / y) * R(y,z,L(y,u,w)) = x * a(y,z,L(y,u,w)). [para(8624(a,1),11399(a,1,2))]. 11401 (x / y) * R(y,z,y) = x * a(y,z,L(y,u,w)). [para(11364(a,1),11400(a,1,2))]. 11402 (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(11374(a,1),11400(a,1,2))]. 11403 (x / y) * R(y,z,y) = x * a(y,z,y). [para(320(a,1),11401(a,2,2,3))]. 11406 R(x,y,x) * (x \ z) = z * a(x,y,x). [hyper(236,a,8360,a,b,11403,a(flip)),flip(a)]. 11407 a(x,y,L(x,z,u)) = a(x,y,x). [hyper(17,a,11401,a(flip),b,11403,a(flip)),flip(a)]. 11408 (x * y) * a(y,z,y) = x * R(y,z,y). [para(15(a,1),11403(a,1,1)),flip(a)]. 11411 (x / y) * ((y \ z) \ T(z,y)) = x * a(y,y \ z,y). [para(4234(a,1),11403(a,1,2))]. 11412 K(x * L(y,z,u),y) = K(x,y) * a(y,x,y). [para(11407(a,1),10261(a,1,2)),flip(a)]. 11413 x * (y * a(x,z,x)) = R(x,z,x) * y. [para(11406(a,1),1492(a,1,2))]. 11414 (x * y) * a(y,x,y) = T(y * x,y). [hyper(236,a,4227,a(flip),b,11408,a)]. 11416 (x / R(y,z,y)) * y = x / a(y,z,y). [hyper(74,a,16,a(flip),b,11408,a),flip(a)]. 11418 R(T(x,T(x * y,x)),y * x,a(x,y,x)) = ((y * x) * a(x,y,x)) \ ((x * y) * x). [para(11414(a,1),888(a,1,1,2))]. 11426 x * (y \ L(y,z,y)) = x / a(y,z,y). [hyper(236,a,9095,a(flip),b,11416,a(flip)),flip(a)]. 11427 x / (y \ L(y,z,y)) = x * a(y,z,y). [hyper(74,a,15,a(flip),b,11426,a)]. 11428 a(x,y,x) \ 1 = x \ L(x,y,x). [hyper(72,a,59,a(flip),b,11426,a)]. 11429 x / (a(y,z,y) \ 1) = x * a(y,z,y). [para(11428(a,2),11427(a,1,2))]. 11430 R(x,a(y,z,y),a(y,z,y) \ 1) = x. [hyper(566,a,11429,a)]. 11431 R(x,a(y,z,y),y \ L(y,z,y)) = x. [para(11428(a,1),11430(a,1,3))]. 11432 R(x,y \ R(y,z,y),y \ L(y,z,y)) = x. [para(9038(a,2),11431(a,1,2))]. 11433 K(x * L(y,z,u),y) = K(y * x,y). [hyper(236,a,9057,a(flip),b,11412,a)]. 11435 K(x \ L(y,z,u),y) = K(y * (x \ 1),y). [hyper(236,a,11253,a(flip),b,11433,a(flip)),flip(a)]. 11436 K(x * (L(x,y,z) \ u),x) = K(u,x). [hyper(236,a,7513,a(flip),b,11433,a(flip))]. 11438 K(L(x,y,z) \ u,x) = K(x \ u,x). [hyper(236,a,10865,a(flip),b,11436,a(flip)),flip(a)]. 11439 T(x * K(y,x),x * (L(x,z,u) \ y)) = x. [para(11436(a,1),4853(a,1,1,2))]. 11440 K(x / L(y,z,u),y) = K(y \ x,y). [hyper(8403,a,11438,a)]. 11442 K(x \ L(y,z,u),y) = K(x \ y,y). [hyper(236,a,5413,a(flip),b,11435,a)]. 11443 K(x / (L(y,z,u) \ w),y) = K((w / x) \ y,y). [hyper(11294,a,11442,a)]. 11444 K(x \ (y * L(z,u,w)),z) = K((y \ x) \ z,z). [hyper(236,a,11255,a(flip),b,11442,a(flip)),flip(a)]. 11445 (L(x,y,z) * K((u \ x) \ x,x)) * u = (x \ (L(x,y,z) * u)) * x. [para(11442(a,1),9902(a,1,1,2))]. 11446 T(x,x * (L(x,y,z) \ u)) = T(x,u). [para(11439(a,1),4933(a,1,1)),flip(a)]. 11447 T(x,L(x,y,z) * u) = T(x,x * u). [para(13(a,1),11446(a,1,2,2)),flip(a)]. 11449 T(x,L(x,y,z) * (x \ u)) = T(x,u). [para(14(a,1),11447(a,2,2))]. 11454 K(x \ (y * L(z,u,w)),z) = K(z * (x \ y),z). [hyper(236,a,10863,a(flip),b,11444,a)]. 11456 K(x * (y \ L(y,z,u)),y) = K(y * (y \ x),y). [hyper(10746,a,11454,a)]. 11457 K(x \ (y * (z * u)),u) = K(u * (x \ (y * z)),u). [para(103(a,1),11454(a,1,1,2))]. 11458 K(x * (y \ L(y,z,u)),y) = K(x,y). [para(14(a,1),11456(a,2,1))]. 11461 K(x \ (y \ (z * (u * y))),y) = K(y * ((x * y) \ (z * u)),y). [hyper(8562,a,11457,a)]. 11462 K(x \ (y * (z * u)),z) = K(z * (x \ (y * u)),z). [hyper(236,a,8706,a(flip),b,11457,a(flip)),flip(a)]. 11463 K(((x \ y) \ z) * u,L(u,z,x)) = K(u * (y \ (x * z)),u). [hyper(236,a,10911,a,b,11462,a(flip)),flip(a)]. 11464 (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(11215(a,1),11411(a,1,2))]. 11465 K(x \ (y \ (z * (u * y))),y) = K(x \ (z * u),y). [hyper(236,a,10862,a(flip),b,11461,a)]. 11466 K(L(x,y * z,u),y) = K((u * z) \ (u * (z * x)),y). [hyper(236,a,10033,a(flip),b,11465,a(flip)),flip(a)]. 11467 K(L(x,y * z,u),y) = K(L(x,z,u),y). [para(28(a,2),11466(a,2,1))]. 11468 K(L(x,x \ y,z),u) = K(x,L(u,y,z)). [hyper(11360,a,11467,a),flip(a)]. 11469 K(L(x,x \ y,z),u) != w | K(x,L(u,y,z)) = w. [para(11467(a,1),11360(a,1))]. 11470 L(K(x,y),z,u) = K(x,L(y,z,u)). [hyper(10741,a,11468,a)]. 11471 K(x,L(y,x * z,u)) = K(L(x,z,u),y). [para(13(a,1),11468(a,1,1,2)),flip(a)]. 11472 K(x,L(y,z,u)) != w | L(K(x,y),z,u) = w. [para(11468(a,1),10741(a,1))]. 11473 K(x,L(y / z,z,u)) = K(x,L(y / z,y,u)). [hyper(10773,a,11470,a)]. 11474 K(x,L(y,y \ z,u)) = K(x,L(y,z,u)). [hyper(10772,a,11470,a)]. 11475 K(x,L(y,y * z,u)) = K(x,L(y,z,u)). [hyper(10771,a,11470,a),flip(a)]. 11476 K(x,L(y,z * x,u)) = K(L(x,z,u),y). [hyper(10722,a,11470,a),flip(a)]. 11477 K(x \ (y \ z),L(u,y \ z,y)) = K((y * x) \ z,u). [hyper(6731,a,11470,a),flip(a)]. 11478 K((x * (y / z)) \ (x * y),u) = K(z,L(u,y,x)). [hyper(6624,a,11470,a)]. 11479 K((x * y) \ (x * z),u) = K(y \ z,L(u,z,x)). [hyper(6566,a,11470,a)]. 11480 K(L(x,y,z) \ 1,u) = K(x \ 1,L(u,y,z)). [hyper(6082,a,11470,a)]. 11481 L(K(x,T(y \ z,u * y)),y,u) = K(x,(u * z) / (u * y)). [hyper(236,a,8135,a(flip),b,11470,a)]. 11482 K(x,y) * a(z,u,K(y,x)) = K(x,L(y,u,z)). [hyper(236,a,10179,a,b,11470,a(flip)),flip(a)]. 11483 K(x,(y * (z \ u)) \ (y * u)) = K(x,L(T(z,u),u,y)). [hyper(236,a,7338,a,b,11470,a(flip)),flip(a)]. 11484 K(x,L(y,z / y,u)) = K(x,L(y,z,u)). [hyper(236,a,6582,a,b,11470,a(flip)),flip(a)]. 11485 K(x,L((y \ z) \ u,u,y)) = K(x,z \ (y * u)). [hyper(236,a,6595,a(flip),b,11470,a(flip))]. 11486 K(x,L(y \ 1,z,u)) = K(x,L(y,z,u) \ 1). [hyper(236,a,5890,a(flip),b,11470,a(flip))]. 11487 (x * y) * K(z,L(u,y,x)) = x * (y * K(z,u)). [para(11470(a,1),103(a,1,2))]. 11488 L(K(x,y \ (z \ u)),y,z) = K(x,(z * y) \ u). [para(227(a,1),11470(a,2,2))]. 11489 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(11470(a,1),1230(a,1,2,1))]. 11490 K(x,L((y \ z) \ 1,u,w)) = L(K(x,z \ y),u,w). [para(6408(a,1),11470(a,1,1)),flip(a)]. 11491 K(x \ (y \ z),L(u,y \ z,y)) != w | K((y * x) \ z,u) = w. [para(11470(a,1),6731(a,1))]. 11492 L(K(x,T(y \ 1,z)),u,w) = K(x,L(T(y,z) \ 1,u,w)). [para(7269(a,1),11470(a,1,1))]. 11494 L(K(x \ (y \ z),y),u,w) = K((y * x) \ z,L(y,u,w)). [para(8318(a,1),11470(a,1,1))]. 11495 x * (y * K(z,T(u,x * y))) = K(z,L(u,y,x)) * (x * y). [para(11470(a,1),7287(a,2,1))]. 11496 T(L(K(x,y),z,u) \ w,K(x,L(y,z,u))) = w / L(K(x,y),z,u). [para(11470(a,1),8635(a,1,2))]. 11497 K(x,L(y \ (z \ u),z \ u,z)) != w | K(x,(z * y) \ u) = w. [para(11470(a,1),9929(a,1))]. 11498 K(x,L(T((y / z) \ 1,u),w,v5)) = L(K(x,T(z / y,u)),w,v5). [para(10056(a,1),11470(a,1,1)),flip(a)]. 11499 x / K(y,L(T(z,u),u,x / (K(y,z) * u))) = (x / (u * K(y,T(z,u)))) * u. [para(11470(a,1),7358(a,1,2))]. 11500 K(x,y) * K(y,L(x,z,u)) = a(u,z,K(x,y)). [para(11470(a,1),10176(a,1,2))]. 11501 a(x,y,K(z,u)) * K(z,L(u,y,x)) = K(z,u). [para(11470(a,1),10178(a,1,2))]. 11502 K(x,L(y,z,u)) * K(y,x) = a(u,z,K(y,x)). [para(11470(a,1),10180(a,1,1))]. 11503 K(x,L(y,z,u)) * a(u,z,K(x,y)) = K(x,y). [para(11470(a,1),10200(a,1,1))]. 11504 a(x,y,K(z,u)) * (K(z,L(u,y,x)) * w) = K(z,u) * w. [para(11470(a,1),10223(a,1,2,1))]. 11505 x * K(y,L(z,u,u \ x)) = (x / u) * (u * K(y,z)). [para(11470(a,1),11089(a,1,2))]. 11506 (x * y) * K(z,L(u,x,y)) = y * (T(x,y) * K(z,u)). [para(11470(a,1),11115(a,1,2))]. 11508 K(x,K(y,L(z,u * y,w))) = K(x,K(z,L(y,u,w))). [para(11476(a,2),7937(a,1,2))]. 11509 K(x,T(L(y,z,u),w)) != v5 | L(K(x,T(y,w)),z,u) = v5. [para(40(a,1),11472(a,1,2))]. 11511 K(x \ 1,L(y,z,u)) * (L(x,z,u) \ 1) = T(L(x,z,u) \ 1,y). [para(11480(a,1),4897(a,2,1)),flip(a)]. 11512 (x * y) / (K(z \ 1,L(x,u,w)) * y) != v5 | T(x,L(z,u,w) \ 1) = v5. [para(11480(a,1),5356(a,1,2,1))]. 11513 a(x,y,K(z,u)) * K(u,z) = K(u,L(z,y,x)). [hyper(236,a,10177,a(flip),b,11482,a(flip)),flip(a)]. 11514 K(x,(y * (z * u)) \ (y * z)) = K(x,L(u \ 1,z,y)). [hyper(6475,a,11486,a(flip))]. 11515 L(x,y,z) * K(u,L(x \ 1,y,z)) = T(1 / L(x,y,z),u) \ 1. [para(11486(a,2),7516(a,2,2)),flip(a)]. 11517 K(x,L(((y / z) \ u) \ 1,z \ y,z)) = K(x,((z * (y / z)) \ (z * u)) \ 1). [para(11127(a,1),11486(a,2,2,1))]. 11518 a(x,y,K(z,u)) != w | K(u,L(z,y,x)) * K(z,u) = w. [para(11500(a,1),2197(a,1))]. 11519 K(x,y) * a(z,u,K(y,x)) != w | K(x,L(y,u,z)) = w. [para(11500(a,1),5271(a,1,2)),flip(b)]. 11520 ((x * y) / x) * K(y,L(x,z,u)) = y * a(u,z,K(x,y)). [para(11500(a,1),5525(a,2,2))]. 11521 T(x,L(y,z,u)) * K(y,x) = x * a(u,z,K(y,x)). [para(11500(a,1),5186(a,1,2)),flip(a)]. 11522 K(x,y) * K(L(y,z,u),x) = a(u,z,K(x,y)). [hyper(7559,a,11501,a)]. 11524 x * K(y,L(z,u,w)) != K(y,z) | a(w,u,K(y,z)) = x. [para(11501(a,1),20(a,1)),flip(a)]. 11525 K(x,y) * K(L(y,z,u),x) != w | a(u,z,K(x,y)) = w. [para(11501(a,1),7577(a,1,1)),flip(b)]. 11527 a(x,y * z,K(z,u)) = a(x,y,K(z,u)). [hyper(236,a,10201,a(flip),b,11502,a(flip)),flip(a)]. 11529 a(x,y,K(z,u)) != w | K(z,u) * K(u,L(z,y,x)) = w. [para(11502(a,1),2193(a,1))]. 11530 a(x,y,K(z,u)) * K(u,z) != w | K(u,L(z,y,x)) = w. [para(11502(a,1),7577(a,1,1)),flip(b)]. 11531 a(x,y * z,K(u,K(w,z))) = a(x,y,K(z,K(u,w))). [para(7923(a,2),11527(a,1,3))]. 11533 K(L(x,y,z),u) = K(x,L(u,y,z)). [hyper(17,a,11500,a,b,11522,a)]. 11534 L(K(x,y),z,u) = K(L(x,z,u),y). [hyper(17,a,10176,a,b,11522,a),flip(a)]. 11535 a(x,y * z,K(u,z)) = a(x,y,K(u,z)). [hyper(236,a,10184,a(flip),b,11522,a(flip)),flip(a)]. 11536 K((x \ y) / z,L(u,z,x)) = K((x * z) \ y,T(u,z)). [hyper(8427,a,11533,a),flip(a)]. 11537 K(x \ y,L(T(z,u * x),x,u)) = K((u * y) / (u * x),z). [hyper(8404,a,11533,a),flip(a)]. 11538 K(x,L(y,z * x,u)) = K(x,L(y,z,u)). [hyper(236,a,11476,a,b,11533,a(flip)),flip(a)]. 11539 (K(x,L(y,z,u)) * w) \ w = K(y,L(T(x,w),z,u)). [hyper(236,a,7591,a,b,11533,a(flip)),flip(a)]. 11540 K(x,L(y,x \ z,u)) = K(x,L(y,z,u)). [hyper(236,a,11468,a(flip),b,11533,a(flip))]. 11541 K(x \ y,L(T(z,u),x,x \ u)) = K(((u / x) * y) / u,z). [hyper(236,a,11091,a(flip),b,11533,a(flip))]. 11542 K(x,L(T(y,z),u,z / (u * x))) = K(z / ((z / (u * x)) * u),y). [hyper(236,a,8138,a(flip),b,11533,a(flip))]. 11543 K((x \ 1) \ y,L(z,x \ 1,x)) = K(x * y,z). [para(451(a,1),11533(a,1,1)),flip(a)]. 11544 K((x \ y) \ z,L(u,x \ y,x)) = K(y \ (x * z),u). [para(450(a,1),11533(a,1,1)),flip(a)]. 11545 K(T(x,y \ z),L(u,y \ z,y)) = K(z \ (y * (x * (y \ z))),u). [para(681(a,1),11533(a,1,1)),flip(a)]. 11546 (x * ((x \ y) * z)) * K(z,L(y,x \ y,x)) = (y \ (x * ((x \ y) * z))) * y. [para(11533(a,1),683(a,1,2))]. 11547 (L(x,y,z) \ u) * K(x,L(u / L(x,y,z),y,z)) = u / L(x,y,z). [para(11533(a,1),4919(a,1,2))]. 11548 (x * y) / (K(z,L(x,u,w)) * y) = T(x,L(z,u,w)). [para(11533(a,1),5354(a,1,2,1))]. 11549 (x / y) * K(z,L(y,u,w)) != v5 | x / T(y,L(z,u,w)) = v5. [para(11533(a,1),7645(a,1,2))]. 11550 K(x,K(y,L(z,u,w))) = K(z,K(x,L(y,u,w))). [para(11533(a,1),7923(a,1,2))]. 11551 K(x,K(y,L(z,u,w))) = K(x,K(z,L(y,u,w))). [para(11533(a,1),7937(a,1,2))]. 11552 K(x,K(y,L(z,u,w))) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(11533(a,1),7971(a,1,2))]. 11553 K((x \ y) / z,L(u,z,x)) != w | K((x * z) \ y,T(u,z)) = w. [para(11533(a,1),8427(a,1))]. 11554 K(L(x,y,z),u) != w | L(K(x,u),y,z) = w. [para(11533(a,2),11472(a,1))]. 11555 L(K(x,K(y,z)),u,w) = K(y,K(z,L(x,u,w))). [hyper(236,a,7923,a,b,11534,a)]. 11556 (x * y) * K(L(z,y,x),u) = x * (y * K(z,u)). [para(11534(a,1),103(a,1,2))]. 11557 K(L(K(x,y),z,u),w) = K(w,K(y,L(x,z,u))). [para(11534(a,2),5835(a,1,1))]. 11558 K(L(K(x,y),z,u),w) = K(y,K(w,L(x,z,u))). [para(11534(a,2),7920(a,1,1))]. 11559 K(x,L(K(y,z),u,w)) = K(x,K(z,L(y,u,w))). [para(11534(a,2),7937(a,1,2))]. 11560 L(K(x,K(y,z)),u,w) != v5 | K(y,K(z,L(x,u,w))) = v5. [para(11534(a,2),7960(a,1))]. 11561 K(L(K(x,y),z,u),w) != v5 | K(y,K(w,L(x,z,u))) = v5. [para(11534(a,2),8013(a,1,1))]. 11563 a(x,y,K(z,u \ y)) = a(x,u,K(z,u \ y)). [para(14(a,1),11535(a,1,2))]. 11564 x / T(x / y,L(y,z,u)) = y * a(u,z,K(y \ x,y)). [para(11535(a,1),10236(a,2,2))]. 11565 K(x \ y,L(z,y,u)) = K(x \ y,L(z,x,u)). [para(14(a,1),11538(a,1,2,2))]. 11566 K(x,K(y,L(z,u,w))) != v5 | L(K(z,K(x,y)),u,w) = v5. [para(7923(a,2),11554(a,1))]. 11567 K(x,K(y \ (z \ u),L(w,y,z))) = K(w,K(x,(z * y) \ u)). [para(227(a,1),11550(a,2,2,2))]. 11568 K(x,K(y,L(z,z,u))) = K(x,K(z,y)). [para(10692(a,1),11551(a,1,2)),flip(a)]. 11569 K(x,K(y / z,L(u,y,w))) = K(x,K(u,L(y / z,z,w))). [para(11473(a,2),11551(a,1,2)),flip(a)]. 11570 (x * y) * K(z,K(u,L(w,y,x))) = x * (y * K(w,K(z,u))). [para(11555(a,1),103(a,1,2))]. 11571 K(x,K(y,z)) * K(x,K(z,L(y,u,w))) = a(w,u,K(x,K(y,z))). [para(11557(a,1),11522(a,1,2))]. 11572 K(L(K(x,y),z,u),w \ (v5 / x)) = K(y,K(w \ v5,L(x,z,u))). [hyper(236,a,10289,a,b,11558,a(flip)),flip(a)]. 11573 K((x * y) \ x,L(z,x * y,u)) = K(y \ 1,L(z,x,u)). [hyper(6345,a,11565,a),flip(a)]. 11574 K((x \ (y \ z)) \ u,L(x,u,y)) = K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z). [para(10739(a,1),11565(a,2,2))]. 11575 K(L(x,y / x,z),u) != w | K(x,L(u,y,z)) = w. [para(10736(a,2),11469(a,1,1))]. 11577 K(x,L((y * z) \ u,u,1 / y)) = K(x,L(z,y,y \ 1) \ ((1 / y) * u)). [para(2927(a,1),11485(a,1,2,1,1))]. 11578 T(K(x,L(y,z,u)) * (u * z),K(x,L(y,z,u))) = u * (z * K(x,y)). [hyper(8205,a,11487,a)]. 11579 (x * y) * z != x * (y * K(u,w)) | K(u,L(w,y,x)) = z. [para(11487(a,1),19(a,1)),flip(a)]. 11580 (x * y) * K(z,(x * y) \ u) = x * (y * K(z,y \ (x \ u))). [para(227(a,1),11487(a,1,2,2))]. 11581 (x * (x \ y)) * K(z,y \ (x * u)) = x * ((x \ y) * K(z,(x \ y) \ u)). [para(450(a,1),11487(a,1,2,2))]. 11582 (x \ L(x,y,z)) * K(u,L(w,x \ 1,L(x,y,z))) = L(x,y,z) * ((x \ 1) * K(u,w)). [para(1207(a,1),11487(a,1,1))]. 11583 (x * (y * z)) * K(u,L(z \ 1,y * z,x)) = x * (y * (z * K(u,z \ 1))). [para(7014(a,1),11487(a,2,2))]. 11584 (x * (y * K(z,u))) \ (x * (y * u)) = T(L(u,y,x),z). [para(11487(a,1),7637(a,1,1))]. 11585 K(x,(y * R(x,z,u)) \ w) = K(x,R(x,z,u) \ (y \ w)). [hyper(236,a,10559,a(flip),b,11488,a(flip))]. 11587 K(x * (y * K(z,u)),u) != w | K(x * y,u) = w. [para(11556(a,1),7471(a,1,1))]. 11589 L(K(x,y),z,u) != w | K(x,L(y,z,u)) = w. [para(6577(a,1),11575(a,1))]. 11590 K(L(x,y,z) \ 1,u) != w | K(x \ 1,L(u,y,z)) = w. [para(5906(a,1),11589(a,1))]. 11591 K((x * y) \ (x * z),u) != w | K(y \ z,L(u,z,x)) = w. [para(6565(a,1),11589(a,1))]. 11592 K(x,L(y \ z,y,u)) != w | K(x,L(y \ z,z,u)) = w. [para(6585(a,1),11589(a,1))]. 11593 K(x,(y * ((y \ z) / u)) \ z) != w | K(x,L(u,y \ z,y)) = w. [para(6588(a,2),11589(a,1))]. 11594 K(x,L(y,y \ z,u)) != w | K(x,L(y,z,u)) = w. [para(8971(a,2),11589(a,1))]. 11595 K(L(x,y,z),u) != w | K(x,L(u,y,z)) = w. [para(11534(a,1),11589(a,1))]. 11596 L(x,y,z) \ L(T(x,u),y,z) != w | K(x,L(u,y,z)) = w. [para(4888(a,2),11595(a,1))]. 11597 K(x,L(y,z * x,u)) != w | K(x,L(y,z,u)) = w. [para(11476(a,2),11595(a,1))]. 11598 K(x * (y / (z * y)),z \ 1) != u | K(x * ((z * y) \ y),z \ 1) = u. [para(5803(a,1),11587(a,1,1,2))]. 11599 K(x \ y,L(z,y,u)) != w | K(x \ y,L(z,x,u)) = w. [para(14(a,1),11597(a,1,2,2))]. 11600 K(x,L((y \ z) \ 1,u,w)) = K(x,L(z \ y,u,w)). [hyper(236,a,11470,a(flip),b,11490,a)]. 11601 K(x,L((y \ z) \ 1,u,w)) != v5 | K(x,L(z \ y,u,w)) = v5. [para(11490(a,2),11589(a,1))]. 11602 K(x,K((y * z) \ (u \ w),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [para(227(a,1),11508(a,1,2,2)),flip(a)]. 11603 T(x * K(y,x),L(y,z,u)) = x * a(u,z,K(y,x)). [hyper(7333,a,11521,a)]. 11604 x * a(y,z,K(u,x)) != w | T(x * K(u,x),L(u,z,y)) = w. [para(11521(a,1),7333(a,1))]. 11605 K(x,L((y * z) \ y,u,w)) = K(x,L(z \ 1,u,w)). [para(13(a,1),11600(a,1,2,1,1)),flip(a)]. 11606 T(x * a(y,z,K(u,x)),u) = T(x,L(u,z,y)). [para(11603(a,1),4933(a,1,1))]. 11607 T(x * a(y,z,K(u,x)),x * u) = L(T(x,L(u,z,y)),u,x). [para(11603(a,1),5040(a,1,1))]. 11608 K(x,L(T(((y \ z) \ 1) \ y,z * (y / z)),z * (y / z),u)) = K(x,(u * ((y \ z) \ 1)) \ (u * (z * (y / z)))). [para(6546(a,1),11483(a,1,2,1,2)),flip(a)]. 11609 x * K(y,L(z,u * y,(u * y) \ x)) = (x / (u * y)) * (u * T(y,z)). [para(6201(a,1),11505(a,2,2))]. 11610 (x * (K(x,y) * z)) * K(u,L(w,x,K(x,y) * z)) = (K(x,y) * z) * (T(x,z) * K(u,w)). [para(7409(a,1),11506(a,2,2,1))]. 11611 a(x,y * z,K(u,z)) != w | a(x,y,K(u,z)) = w. [para(10184(a,1),11525(a,1))]. 11613 K((x \ R(x,y,y \ 1)) / y,L(z,y,x)) = K(y \ 1,T(z,y)). [para(391(a,1),11536(a,2,1))]. 11614 K(x,K(L(y,z,u),w)) != v5 | K(x,K(y,L(w,z,u))) = v5. [para(7937(a,1),11552(a,1))]. 11615 L(K(x,K(y,z)),u,w) != v5 | K(x,K(z,L(y,u,w))) = v5. [para(7919(a,1),11560(a,1,1))]. 11616 (x * (y * K(z,u))) \ (x * (y * u)) = L(T(u,z),y,x). [hyper(236,a,40,a,b,11584,a)]. 11617 (x * (y * z)) / T(L(z,y,x),u) = x * (y * K(u,z)). [para(11584(a,1),62(a,1,2))]. 11619 L(T(x,y),z * K(y,x),u) = L(T(x,y),z,u). [hyper(7640,a,11616,a)]. 11621 L(x,y * K(z,x * K(z,x)),u) = L(T(x * K(z,x),z),y,u). [para(4853(a,1),11619(a,1,1))]. 11622 (x * y) / T(L(z,y / z,x),u) = x * ((y / z) * K(u,z)). [para(16(a,1),11617(a,1,1,2))]. 11623 K(x,L(T(y,z) \ 1,u,w)) = K(x,L(T(y \ 1,z),u,w)). [hyper(11589,a,11492,a),flip(a)]. 11624 K((x * y) \ z,L(x,u,w)) = K(y \ (x \ z),L(x,u,w)). [hyper(11589,a,11494,a),flip(a)]. 11625 K(x,L(y,z,u)) * (T(x,y) \ w) = a(u,z,K(x,y)) \ (x \ w). [hyper(72,a,5178,a(flip),b,11504,a),flip(a)]. 11626 L(x,y,z) \ ((u / x) \ (L(x,y,z) * (x \ u))) = x \ (x * a(z,y,K(x \ u,x))). [para(11564(a,1),9684(a,2,2))]. 11627 K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(y / u,(z * y) \ K(z,1 / z))). [para(458(a,1),11569(a,1,2,2)),flip(a)]. 11628 K(x \ 1,L(y,z * x,u)) = K(x \ 1,L(y,z,u)). [hyper(6345,a,11573,a)]. 11630 K(L(x,y * z,u),z \ 1) = (w * K(z \ 1,L(x,y,u))) \ w. [para(11628(a,1),7549(a,1,1,2)),flip(a)]. 11631 K(x,(R(x,y,z) * u) \ w) = K(x,R(x,y,z) \ (u \ w)). [hyper(11142,a,11585,a)]. 11632 K(((x * y) \ z) \ (K(y,x) * u),w) != v5 | K(((y * x) \ z) \ u,L(w,u,K(y,x))) = v5. [para(11048(a,1),11591(a,1,1,1))]. 11633 K(x,L(T((y / z) \ 1,y \ z),u,w)) = K(x,L(T((y / z) \ 1,1),u,w)). [hyper(11361,a,11623,a),flip(a)]. 11634 K(x,R(x,y,z) \ ((x \ u) \ w)) != v5 | K(x,x * ((R(x,y,z) * u) \ w)) = v5. [para(11631(a,1),10884(a,1))]. 11635 L(K(x,T(y \ z,K(u,w) \ y)),y,K(w,u)) = K(x,(K(w,u) * z) / (K(w,u) * y)). [para(5260(a,2),11481(a,1,1,2,2))]. 11636 K(x \ y,L(T(z,u),y,x \ u)) = K(((u / x) * y) / u,z). [hyper(236,a,11565,a,b,11541,a(flip)),flip(a)]. 11637 (x * y) / T(x,L(y,z,u)) = y * a(u,z,K(x,y)). [hyper(11549,a,11520,a)]. 11638 (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(4305(a,1),11637(a,1,1))]. 11639 (x * y) / T(L(z,z \ y,x),u) = x * ((y / z) * K(u,z)). [para(10736(a,1),11622(a,1,2,1))]. 11640 (x * y) / T(L(z,z \ y,x),u) = x * (y / T(z,u)). [para(7555(a,1),11639(a,2,2))]. 11641 K(x \ 1,L(y,z \ u,z)) != w | K((z * ((z \ u) * x)) \ u,y) = w. [para(6294(a,1),11491(a,1))]. 11642 K(x \ (y \ z),L(u,x,y)) != w | K((y * x) \ z,u) = w. [para(11565(a,1),11491(a,1))]. 11643 K(x,L(T((y / z) \ 1,u),w,v5)) != v6 | K(x,L(T(z / y,u),w,v5)) = v6. [para(11498(a,2),11589(a,1))]. 11644 a(x,y,K(z,K(u,w))) != v5 | K(z,K(w,L(u,y,x))) * K(z,K(u,w)) = v5. [para(11571(a,1),5870(a,1))]. 11645 K(x,K(y \ (z / u),L(u,w,v5))) = K(x,K(y \ z,L(u,w,v5))). [hyper(11561,a,11572,a)]. 11647 K(((x \ y) / z) \ y,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). [hyper(11593,a,10029,a)]. 11648 K(a(x,y,y \ 1) / y,L(z,y,x)) = K(y \ 1,T(z,y)). [para(688(a,1),11613(a,1,1,1))]. 11649 L(T(x * K(y,x),y),z,u) = L(x,z * K(y,x),u). [para(5008(a,1),11621(a,1,2,2)),flip(a)]. 11650 L(x,y * K(z,x),u) = L(x,y,u). [para(4853(a,1),11649(a,1,1)),flip(a)]. 11654 L(x,y * K(x,z),u) = L(x,y,u). [para(7540(a,1),11650(a,1,2)),flip(a)]. 11655 L(x,K(x,y) * z,u) = L(x,z,u). [para(7550(a,1),11650(a,1,2)),flip(a)]. 11658 L(T(x,y),K(x,z) * u,w) = L(T(x,y),u,w). [para(8054(a,1),11655(a,1,2,1))]. 11662 L(T(x,y),T(x,z) \ u,w) = L(T(x,y),x \ u,w). [para(5178(a,1),11658(a,1,2)),flip(a)]. 11663 L(T(x,y),z \ T(u,x),w) = L(T(x,y),z \ u,w). [para(5540(a,1),11658(a,1,2)),flip(a)]. 11667 (x * (K(y,z) / z)) \ x = L(T(z,y),z \ 1,x). [hyper(236,a,5010,a(flip),b,11662,a(flip)),flip(a)]. 11669 L(T(x,y),T(z / T(x,u),x),w) = L(T(x,y),x \ z,w). [para(8602(a,2),11662(a,1,2))]. 11670 T(x,y) \ L(T(x,y),x \ 1,z) = x \ L(x,x \ 1,z). [para(11662(a,1),10318(a,1,2))]. 11672 x / ((K(y,z) / z) * ((x * (K(y,z) / z)) \ x)) = R(x,K(y,z) / z,L(T(z,y),z \ 1,x)). [para(11667(a,1),111(a,1,3)),flip(a)]. 11673 R(x,K(y,z) / z,L(T(z,y),z \ 1,x)) \ 1 = x \ ((K(y,z) / z) * ((x * (K(y,z) / z)) \ x)). [para(11667(a,1),1507(a,1,1,3))]. 11674 (((x * (K(y,z) / z)) \ x) * (x \ (x * (K(y,z) / z)))) \ u = u / (L(T(z,y),z \ 1,x) * (x \ (x * (K(y,z) / z)))). [para(11667(a,1),7035(a,1,2,1)),flip(a)]. 11675 L(R(T(x,y),z,u),w \ T(v5,x),v6) = R(L(T(x,y),w \ v5,v6),z,u). [para(11663(a,1),44(a,1,1)),flip(a)]. 11677 L(T(x,y),z / T(x,u),x) = L(T(x,y),x \ z,x). [hyper(11129,a,11669,a)]. 11680 K(L(x,y * z,u),z \ 1) = K(L(x,y,u),z \ 1). [hyper(236,a,7647,a(flip),b,11630,a)]. 11681 K(L(x,y * z,u),z \ 1) = K(x,L(z \ 1,y,u)). [hyper(236,a,11533,a(flip),b,11680,a)]. 11682 K(x,L(y \ 1,z * y,u)) = K(x,L(y \ 1,z,u)). [hyper(11595,a,11681,a)]. 11683 K(x,K(y \ (z \ u),L(z,w,v5))) = K(x,K(y \ u,L(z,w,v5))). [para(9815(a,1),11645(a,1,2))]. 11684 T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w / L(K(y,x),z,u). [para(6039(a,1),11496(a,1,1))]. 11685 K(x,L(y,z,u)) * (L(x \ 1,z,u) \ 1) = T(L(x \ 1,z,u) \ 1,y). [para(3247(a,1),11511(a,1,1))]. 11686 K(x,T(L(y,z \ u,z),z \ u)) = K(u \ (z * (x * (z \ u))),y). [hyper(7823,a,11545,a)]. 11687 K(((x \ y) \ y) * z,L(z,x \ y,x)) = K(((x \ y) / z) \ y,z). [hyper(236,a,10912,a(flip),b,11647,a(flip)),flip(a)]. 11690 T(L(K(x,y),z,u) * w,K(y,L(x,z,u))) = w * L(K(x,y),z,u). [hyper(236,a,8800,a(flip),b,11684,a)]. 11691 K(x,L(T(y,z \ u),z \ u,z)) = K(u \ (z * (x * (z \ u))),y). [para(40(a,2),11686(a,1,2))]. 11692 T(x * L(K(y,z),u,w),K(z,L(y,u,w))) = L(K(y,z),u,w) * x. [para(11690(a,1),7983(a,1,1))]. 11693 (x \ (L(x,y,z) * u)) * x = (L(x,y,z) * K(u,x)) * u. [para(6287(a,1),11445(a,1,1,2)),flip(a)]. 11694 (x \ (L(x,y,z) * u)) * x = L(x,y,z) * T(u,x). [hyper(236,a,6188,a(flip),b,11693,a)]. 11695 (L(x,y,z) * (x \ u)) * x = L(x,y,z) * T(u,x). [para(1205(a,1),11694(a,1,1))]. 11696 (x / y) \ (L(y,z,u) * (y \ x)) = x \ (L(y,z,u) * T(x,y)). [para(11695(a,1),10103(a,2,2))]. 11697 (x / y) \ (L(y,z,u) * (y \ x)) = T(L(y,z,u) * K(x,y),x). [hyper(236,a,6191,a(flip),b,11696,a)]. 11698 L(x,y / L(x,z,u),w) = L(x,L(x,z,u) \ y,w). [para(11547(a,1),11654(a,1,2))]. 11699 L(R(T(x,y),z,u),w \ T(v5,x),v6) = L(R(T(x,y),z,u),w \ v5,v6). [hyper(236,a,44,a(flip),b,11675,a)]. 11700 T(x,L(y \ 1,z,u)) = T(x,L(y,z,u) \ 1). [hyper(11512,a,11548,a),flip(a)]. 11701 T(x,L(x \ 1,y,z)) = T(x,x \ 1). [hyper(236,a,4695,a(flip),b,11700,a)]. 11702 L(x \ 1,y,z) * (T(x,x \ 1) * u) = L(1 / x,y,z) * (x * u). [para(11701(a,1),5783(a,1,2,1))]. 11703 K(x,K(y \ (z \ (u \ w)),L(z,y,u))) = K(x,K(z,(u * (y * z)) \ w)). [para(10115(a,1),11602(a,1,2))]. 11704 x * K(y,L(z,u,(u * y) \ x)) = (x / (u * y)) * (u * T(y,z)). [para(11538(a,1),11609(a,1,2))]. 11705 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,(z * (y * w)) \ u)). [hyper(236,a,11683,a(flip),b,11703,a(flip)),flip(a)]. 11706 K(x,K(y,(z * (u * y)) \ w)) = K(y,K(x,(z * u) \ w)). [hyper(236,a,11567,a(flip),b,11705,a(flip))]. 11707 K(x,K(y,(z * (u * x)) \ w)) = K(x,K(y,(z * u) \ w)). [hyper(7921,a,11706,a)]. 11708 K(x,K(y,a(z,x,T(u,x)))) = K(x,K(y,(z * u) \ ((z * x) * u))). [hyper(236,a,9970,a(flip),b,11707,a(flip)),flip(a)]. 11709 K(x,K(y,a(z,x,T(u,x)))) = 1. [hyper(236,a,9720,a(flip),b,11708,a)]. 11711 K(x,K(y,a(z,x,u))) = 1. [para(162(a,1),11709(a,1,2,2,3))]. 11713 T(a(x,y,z),K(u,y)) = a(x,y,z) * 1. [para(11711(a,1),7893(a,1,2)),flip(a)]. 11714 T(a(x,y,z),K(u,y)) = a(x,y,z). [hyper(236,a,12,a(flip),b,11713,a)]. 11715 T(a(x,y \ z,u),K(y,z)) = a(x,y \ z,u). [hyper(9326,a,11714,a)]. 11716 a(x,y \ z,u) * K(y,z) != w | K(y,z) * a(x,y \ z,u) = w. [para(11715(a,1),8201(a,1,1))]. 11717 K(x,L((y * z) \ u,u,y \ 1)) = K(x,L(z,y,y \ 1) \ ((1 / y) * u)). [para(3601(a,1),11577(a,1,2))]. 11718 x \ (y * K(z,y \ (x * u))) = (x \ y) * K(z,(x \ y) \ u). [hyper(587,a,11581,a)]. 11720 K(x,L(T((y / z) \ 1,y \ z),u,w)) = K(x,L((y / z) \ 1,u,w)). [para(145(a,1),11633(a,2,2,1))]. 11721 K(x,L(T(y / z,z \ y),u,w)) = K(x,L((z / y) \ 1,u,w)). [hyper(11643,a,11720,a)]. 11722 K(x,L((y / z) \ 1,u,w)) = K(x,L(z / y,u,w)). [para(196(a,1),11721(a,1,2,1)),flip(a)]. 11723 K(x,L((y * z) \ u,u,y \ 1)) = K(x,L(z,y,y \ 1) \ ((y \ 1) * u)). [hyper(236,a,5745,a(flip),b,11717,a)]. 11724 x * K(L(T(y,z),z,x / (K(u,y) * z)),u) = (x / (z * K(u,T(y,z)))) * z. [hyper(7561,a,11499,a)]. 11725 K(x,L(((y / z) \ u) \ 1,z \ y,z)) = K(x,(z * u) \ (z * (y / z))). [hyper(236,a,6408,a(flip),b,11517,a)]. 11726 (x * (y * z)) * K(u,L(z \ 1,y,x)) = x * (y * (z * K(u,z \ 1))). [para(11682(a,1),11583(a,1,2))]. 11727 x * K(L(y,z,x / (K(u,y) * z)),T(u,z)) = (x / (z * K(u,T(y,z)))) * z. [para(7310(a,1),11724(a,1,2))]. 11728 x * K(L(y,z,x / (K(u,y) * z)),T(u,z)) = (x / (K(u,y) * z)) * z. [para(7281(a,1),11727(a,2,1,2))]. 11729 x * K(y,L(T(z,u),u,x / (K(z,y) * u))) = (x / (K(z,y) * u)) * u. [para(11533(a,1),11728(a,1,2))]. 11730 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(5260(a,1),11489(a,1,2))]. 11731 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(11533(a,1),11730(a,1,2,1))]. 11732 K(x,y) \ (T(y,L(x,z,u)) * K(x,y)) = L(K(x,y),z,u) \ T(y,K(x,y)). [para(4906(a,1),11731(a,1,2))]. 11733 L(K(x,y),z,u) \ T(y,K(x,y)) = K(x,y) \ (y * a(u,z,K(x,y))). [para(11521(a,1),11732(a,1,2)),flip(a)]. 11734 ((x * y) * a(y,x,y)) \ ((y * x) * y) = R(T(y,y * x),x * y,a(y,x,y)). [para(4104(a,1),11418(a,1,1)),flip(a)]. 11735 K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(((y \ z) \ u) * x,L(x,u,y)). [hyper(236,a,10909,a(flip),b,11574,a(flip))]. 11736 L(x,y,z) \ T(L(x,y,z) * K(u,x),u) = x \ (x * a(z,y,K(x \ u,x))). [para(11697(a,1),11626(a,1,2))]. 11737 x \ (x * a(y,z,K(x \ u,x))) = K(L(x,z,y),u) * K(u,x). [hyper(7155,a,11736,a),flip(a)]. 11738 x \ (x * a(y,z,K(x \ u,x))) = K(x,L(u,z,y)) * K(u,x). [para(11533(a,1),11737(a,2,1))]. 11739 x \ (x * a(y,z,K(x \ u,x))) = a(y,z,K(u,x)). [hyper(236,a,11502,a(flip),b,11738,a)]. 11740 a(x,y,K(z \ u,z)) = a(x,y,K(u,z)). [hyper(306,a,11739,a)]. 11742 a(x,y,K(z * u,z)) = a(x,y,K(u,z)). [para(13(a,1),11740(a,1,3,1)),flip(a)]. 11743 a(x,y,K(z * u,u)) = a(x,y,K(z,u)). [para(4996(a,1),11740(a,1,3)),flip(a)]. 11744 a(x,y,K(z,u \ z)) = a(x,y,K(u,u \ z)). [para(4998(a,1),11740(a,1,3)),flip(a)]. 11745 a(x,y,K(z \ 1,u)) = a(x,y,K(z \ u,u)). [para(5693(a,1),11740(a,1,3))]. 11746 a(x,y,K(z \ (u \ w),u)) = a(x,y,K(z \ w,u)). [para(10658(a,2),11740(a,1,3))]. 11747 a(x,y,K(z \ (u * w),u \ z)) = a(x,y,K(w,u \ z)). [para(10652(a,1),11740(a,1,3))]. 11748 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(11743(a,1),11733(a,2,2,2))]. 11749 K((x \ (y \ z)) \ u,(y * ((y \ z) / x)) \ z) = K(x * (z \ (y * u)),x). [hyper(236,a,11463,a(flip),b,11735,a)]. 11750 K((x \ (y \ z)) \ u,L(x,y \ z,y)) = K(x * (z \ (y * u)),x). [hyper(11593,a,11749,a)]. 11751 K(((x \ y) \ z) * u,L(u,x \ y,x)) = K(u * (y \ (x * z)),u). [hyper(236,a,10909,a(flip),b,11750,a(flip)),flip(a)]. 11752 K(((x \ y) / z) \ y,z) = K(z * (y \ (x * y)),z). [hyper(236,a,11687,a(flip),b,11751,a(flip)),flip(a)]. 11753 K(((x \ y) / z) \ y,z) = K(z * T(x,y),z). [para(32(a,2),11752(a,2,1,2))]. 11754 K(x * ((y \ z) \ z),x) = K(x * T(y,z),x). [hyper(10875,a,11753,a)]. 11755 K(x,x * ((y \ z) \ z)) = u / (K(x * T(y,z),x) * u). [para(11754(a,1),5266(a,1,2,1)),flip(a)]. 11756 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(11754(a,1),10963(a,1,1,2,2))]. 11757 K(x,x * ((y \ z) \ z)) = K(x,x * T(y,z)). [hyper(236,a,5266,a(flip),b,11755,a)]. 11758 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = T(y,x * y) * a(u,z,K(x,y)). [hyper(236,a,5188,a(flip),b,11748,a)]. 11759 (T(x,y) * z) * K(u,L(w,x,K(x,y) * z)) = (K(x,y) * z) * (T(x,z) * K(u,w)). [para(4856(a,1),11610(a,1,1))]. 11760 x / ((K(y,z) / z) * L(T(z,y),z \ 1,x)) = R(x,K(y,z) / z,L(T(z,y),z \ 1,x)). [para(11667(a,1),11672(a,1,2,2))]. 11761 R(x,K(y,z) / z,L(T(z,y),z \ 1,x)) = x / (T(z,y) \ L(T(z,y),z \ 1,x)). [para(5011(a,1),11760(a,1,2)),flip(a)]. 11762 R(x,K(y,z) / z,L(T(z,y),z \ 1,x)) = x / (z \ L(z,z \ 1,x)). [para(11670(a,1),11761(a,2,2))]. 11764 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(4329(a,1),11464(a,1,2,1)),flip(a)]. 11765 x \ ((K(y,z) / z) * ((x * (K(y,z) / z)) \ x)) = (x / (z \ L(z,z \ 1,x))) \ 1. [para(11762(a,1),11673(a,1,1)),flip(a)]. 11766 x \ ((K(y,z) / z) * L(T(z,y),z \ 1,x)) = (x / (z \ L(z,z \ 1,x))) \ 1. [para(11667(a,1),11765(a,1,2,2))]. 11768 x \ (T(y,z) \ L(T(y,z),y \ 1,x)) = (x / (y \ L(y,y \ 1,x))) \ 1. [para(5011(a,1),11766(a,1,2))]. 11769 (x / (y \ L(y,y \ 1,x))) \ 1 = x \ (y \ L(y,y \ 1,x)). [para(11670(a,1),11768(a,1,2)),flip(a)]. 11770 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(11757(a,1),11756(a,1,2,1,1))]. 11771 K(x,T(x * ((y \ z) \ z),u)) = K(x,T(x * T(y,z),u)). [hyper(236,a,10963,a(flip),b,11770,a(flip))]. 11772 (x * y) \ ((x * (y * z)) * K(u,L(z \ 1,y,x))) = L(z,y,x) * K(u,(x * (y * z)) \ (x * y)). [para(11514(a,1),7021(a,1,2,2))]. 11773 (x * y) \ ((x * (y * z)) * K(u,L(z \ 1,y,x))) = L(z,y,x) * K(u,L(z \ 1,y,x)). [para(11514(a,1),11772(a,2,2))]. 11774 (x * y) \ ((x * (y * z)) * K(u,L(z \ 1,y,x))) = T(1 / L(z,y,x),u) \ 1. [hyper(236,a,11515,a(flip),b,11773,a)]. 11775 (x * y) \ (x * (y * (z * K(u,z \ 1)))) = T(1 / L(z,y,x),u) \ 1. [para(11726(a,1),11774(a,1,2))]. 11776 L(x * K(y,x \ 1),z,u) = T(1 / L(x,z,u),y) \ 1. [hyper(447,a,11775,a)]. 11777 L(1 / (1 / (x * K(y,x \ 1))),z,u) = 1 / (1 / (T(1 / L(x,z,u),y) \ 1)). [para(11776(a,1),2695(a,2,2,2))]. 11779 L(1 / (1 / (x * K(y,x \ 1))),z,u) = 1 / T(1 / L(x,z,u),y). [para(62(a,1),11777(a,2,2))]. 11781 L(1 / T(1 / x,y),z,u) = 1 / T(1 / L(x,z,u),y). [para(7518(a,1),11779(a,1,1,2))]. 11782 L(1 / T(1 / x,y),z,u) \ 1 = T(1 / L(x,z,u),y). [para(11781(a,2),65(a,1,1))]. 11783 L(1 / T(x,y),z,u) \ 1 = T(1 / L(x \ 1,z,u),y). [para(62(a,1),11782(a,1,1,1,2,1))]. 11784 L(1 / T(x,y),z,u) \ 1 = T(L(1 / x,z,u) \ 1,y). [para(2696(a,1),11783(a,2,1))]. 11785 T(x * L(x \ 1,y,z),u) \ T(x,u) = T(L(1 / x,y,z) \ 1,u). [hyper(236,a,2644,a,b,11784,a(flip)),flip(a)]. 11786 ((x * L(x \ 1,y,z)) \ T(x,u)) \ T(L(1 / x,y,z) \ 1,u) = K(u,T(x * L(x \ 1,y,z),T(x,u))). [hyper(72,a,11785,a(flip),b,8578,a)]. 11787 R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(L(T(x,K(z,u)),K(z,u),K(y,z)),K(y,z)). [para(178(a,1),8585(a,1,1)),flip(a)]. 11788 (x \ 1) * (R(K(y,x),x \ K(x,z),u) * u) = (K(y,x) * (x \ 1)) * u. [para(6127(a,1),8919(a,2,1,1))]. 11789 (x \ 1) * (R(K(y,x),x \ K(x,z),u) * u) = (T(x,y) \ 1) * u. [para(5204(a,1),11788(a,2,1))]. 11791 (x \ 1) * (R(K(y,x),x \ 1,z) * z) = (T(x,y) \ 1) * z. [para(127(a,1),11789(a,1,2,1,2,2))]. 11792 (x \ 1) * (K(y,x) * z) = (T(x,y) \ 1) * z. [para(10333(a,1),11791(a,1,2,1))]. 11793 K(x,y) * ((y \ 1) * z) = (T(y,x) \ 1) * z. [hyper(236,a,6128,a,b,11792,a(flip)),flip(a)]. 11794 T(x,y) * ((T(x,y) \ 1) * z) = L(z,x \ 1,x). [para(11792(a,1),6704(a,1,2))]. 11796 L(x,y \ 1,K(z,y)) = x. [hyper(5366,a,11793,a)]. 11798 L(x,y,K(z,y \ 1)) = x. [hyper(236,a,6999,a(flip),b,11796,a(flip)),flip(a)]. 11803 (K(x,y \ 1) * y) \ (K(x,y \ 1) * (y * z)) = z. [hyper(236,a,28,a(flip),b,11798,a(flip)),flip(a)]. 11804 (x * K(y,x \ 1)) \ (K(y,x \ 1) * (x * z)) = z. [para(3041(a,1),11803(a,1,1))]. 11805 (x * K(y,x \ 1)) \ (x * (K(y,x \ 1) * z)) = z. [para(6023(a,1),11804(a,1,2))]. 11806 L(x,K(y,z \ 1),z) = x. [hyper(447,a,11805,a)]. 11811 L(x,K(y,z),z \ 1) = x. [para(3386(a,1),11806(a,1,2))]. 11812 ((x \ 1) * K(y,x)) \ z = K(x,y) * ((x \ 1) \ z). [hyper(236,a,5277,a(flip),b,11811,a(flip)),flip(a)]. 11813 K(x,y) * ((x \ 1) \ z) = (T(x,y) \ 1) \ z. [para(4844(a,1),11812(a,1,1)),flip(a)]. 11814 K(x,y) * ((x \ 1) \ z) = (x \ K(y,x)) \ z. [para(5171(a,1),11812(a,1,1)),flip(a)]. 11815 (x \ ((y \ 1) \ x)) * x = (T(y,x) \ 1) \ x. [hyper(5981,a,11813,a)]. 11816 (x \ K(y,x)) \ z = z * T(z \ ((x \ 1) \ z),y). [hyper(6084,a,11814,a),flip(a)]. 11817 (T(1 / x,y) \ 1) \ y = (y \ (x \ y)) * y. [para(65(a,1),11815(a,1,1,2,1)),flip(a)]. 11818 x / ((x \ (y \ x)) * x) = T(1 / y,x) \ 1. [para(11817(a,1),62(a,1,2))]. 11820 K(x,L(T((y \ (z \ y)) * y,u * (T(1 / z,y) \ 1)),T(1 / z,y) \ 1,u)) = K(x,(u * y) / (u * (T(1 / z,y) \ 1))). [para(11817(a,1),8135(a,1,2,1,1))]. 11821 T(1 / (x \ y),y) \ 1 = x \ T(y,y \ x). [hyper(236,a,9773,a,b,11818,a(flip))]. 11822 (x \ T(y,y \ x)) \ 1 = T((x \ y) \ 1,y). [para(11821(a,1),2483(a,1,1))]. 11823 (((x \ y) * x) \ x) \ 1 = T((y \ x) \ 1,x). [para(5958(a,2),11822(a,1,1))]. 11824 T(((x * y) \ x) \ 1,x) = ((y * x) \ x) \ 1. [para(13(a,1),11823(a,1,1,1,1)),flip(a)]. 11825 L(x \ 1,x,y) \ K(x,y) = ((x * y) \ y) \ 1. [hyper(1243,a,11824,a)]. 11826 ((1 / (1 / x)) \ K(y,x)) \ z = z * T(z \ (((1 / (1 / x)) \ 1) \ z),y). [para(5234(a,1),11816(a,1,1,2))]. 11827 x * T(x \ (((1 / (1 / y)) \ 1) \ x),z) = (1 / T(y,z)) \ x. [para(4866(a,1),11826(a,1,1)),flip(a)]. 11828 x * T(x \ ((1 / y) \ x),z) = (1 / T(y,z)) \ x. [para(65(a,1),11827(a,1,2,1,2,1))]. 11835 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(9976(a,1),9979(a,1,2,1,1)),flip(a)]. 11836 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(236,a,2683,a(flip),b,11835,a)]. 11838 L((x \ 1) * L((x \ 1) \ 1,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). [para(1051(a,1),11836(a,2,1))]. 11839 L(x \ L(x,y,z),T(x,u),w) = L(x \ L(x,y,z),x,w). [para(1051(a,1),11838(a,1,1))]. 11840 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(11839(a,1),11501(a,1,2,2))]. 11841 L(T(x,y),y,z) * K(x * y,(x * y) * ((z * y) \ z)) = ((x * y) * L(T(x,y),y,z)) / (x * y). [para(178(a,1),10890(a,1,1))]. 11842 L(T(x,y),y,z) * K(x * y,y \ (x * y)) = ((x * y) * L(T(x,y),y,z)) / (x * y). [para(10843(a,1),11841(a,1,2))]. 11843 ((x * y) * L(T(x,y),y,z)) / (x * y) = L(T(x,y),y,z) * K(x * y,T(x,y)). [para(32(a,2),11842(a,1,2,2)),flip(a)]. 11845 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),11297(a,2,1,1))]. 11846 K(R(x \ (x * y),z,u),R(y / w,w,K(x,y)) \ (x \ (x * y))) = K(R(y,z,u),w). [hyper(236,a,9715,a(flip),b,11845,a)]. 11848 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),11846(a,1,1,1))]. 11849 K(R(x,y,z),R(x / u,u,K(w,x)) \ x) = K(R(x,y,z),u). [para(13(a,1),11848(a,1,2,2))]. 11850 K(R(x,y,z),R(x / u,u,L(K(w,x),v5,v6)) \ x) = K(R(x,y,z),u). [para(5909(a,1),11849(a,1,2,1,3))]. 11851 (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(9910(a,1),11638(a,1,2))]. 11852 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(4196(a,1),11851(a,1,2)),flip(a)]. 11853 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),11852(a,2,2))]. 11854 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(236,a,8765,a(flip),b,11853,a)]. 11855 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(11533(a,1),11854(a,2,1))]. 11856 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(236,a,8290,a(flip),b,11855,a)]. 11857 T(x,y * x) * a(z,u,K(T(y,x),T(x,y))) = L(T(x,L(y,u,z)),y,x). [para(7270(a,1),11856(a,1,2,3))]. 11858 T(x,y * x) * a(z,u,K(y,x)) = L(T(x,L(y,u,z)),y,x). [para(4128(a,1),11857(a,1,2,3))]. 11859 L(K(x * y,y),z,u) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). [hyper(236,a,11758,a,b,11858,a(flip)),flip(a)]. 11860 K(x * y,L(y,z,u)) \ T(y,K(x * y,y)) = L(T(y,L(x,z,u)),x,y). [para(11470(a,1),11859(a,1,1))]. 11861 L(T(x,L(y,z,u)),y,x) = K(y * x,L(x,z,u)) \ x. [para(3137(a,1),11860(a,1,2)),flip(a)]. 11862 L(T(x,L(y,z,u)),y,x) = K(L(x,z,u),y * x) * x. [hyper(236,a,5260,a(flip),b,11861,a)]. 11863 L(T(x,L(y,z,u)),y,x) = K(x,L(y * x,z,u)) * x. [para(11533(a,1),11862(a,2,1))]. 11864 L(T(x,L(y,z,u)),y,x) = T(x,L(y * x,z,u)). [hyper(236,a,4897,a,b,11863,a)]. 11865 T(x * a(y,z,K(u,x)),x * u) = T(x,L(u * x,z,y)). [hyper(236,a,11607,a,b,11864,a(flip)),flip(a)]. 11868 (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(4482(a,1),4575(a,1,1,2))]. 11869 T(((x \ 1) * (y / R(x \ 1,x,z))) / (x \ 1),x \ 1) = ((1 / x) * ((z / (x * z)) \ y)) / (x \ 1). [hyper(236,a,4190,a(flip),b,4734,a(flip)),flip(a)]. 11870 ((1 / x) * ((y / (x * y)) \ z)) / (x \ 1) = z / R(x \ 1,x,y). [hyper(287,a,11869,a)]. 11873 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R((1 / x) \ 1,y,z). [para(6888(a,1),6889(a,2,2,1,1))]. 11874 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = (1 / x) * R(x,y,z). [para(65(a,1),11873(a,2,2,1))]. 11876 T((1 / x) * R((1 / x) \ 1,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [hyper(236,a,3686,a(flip),b,11874,a)]. 11877 T((1 / x) * R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [para(65(a,1),11876(a,1,1,2,1))]. 11878 T(x \ R(x,y,z),R(x,u,w) \ x) = x \ R(x,y,z). [para(3686(a,1),11877(a,1,1))]. 11879 ((x \ R(x,y,z)) \ 1) \ 1 = x \ R(x,y,z). [hyper(6371,a,11878,a)]. 11880 T(R(x \ R(x,y,z),x,y * z),x * (y * z)) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(11879(a,1),11302(a,1,1,1))]. 11881 T((x * (y * z)) \ (R(x,y,z) * (y * z)),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [hyper(752,a,11880,a)]. 11882 T((x * (y * z)) \ ((x * y) * z),x) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(113(a,1),11881(a,1,1,2))]. 11883 (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1 = T(a(x,y,z),x). [para(24(a,2),11882(a,1,1)),flip(a)]. 11884 (x * K(y \ x,x \ y)) * K(z,(y \ x) \ 1) = y * ((((y \ x) \ 1) \ 1) * K(z,1 \ ((y \ x) \ 1))). [para(50(a,1),7031(a,1,2,2))]. 11885 (x * K(y \ x,x \ y)) * K(z,x \ y) = y * ((((y \ x) \ 1) \ 1) * K(z,1 \ ((y \ x) \ 1))). [para(6408(a,1),11884(a,1,2))]. 11886 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(7886(a,1),9509(a,2,1))]. 11887 a(x,K(x,y) * z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(236,a,10377,a(flip),b,10152,a(flip)),flip(a)]. 11888 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((R(x,z,R(x,u,w)) * (x \ v5)) * x)). [hyper(11247,a,11887,a)]. 11891 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ ((x * (x \ v5)) * R(x,z,R(x,u,w)))). [para(11150(a,1),11888(a,2,2,2))]. 11892 a(T(x,y),z,R(x,u,w)) = x \ (v5 \ (v5 * R(x,z,R(x,u,w)))). [para(14(a,1),11891(a,2,2,2,1))]. 11893 a(T(x,y),z,R(x,u,w)) = x \ R(x,z,R(x,u,w)). [para(13(a,1),11892(a,2,2))]. 11895 a(T(x,y),z,R(x,u,w)) = a(x,z,R(x,u,w)). [hyper(236,a,10265,a(flip),b,11893,a)]. 11896 a(x,T(x,y) \ z,R(x,u,w)) = a(x,x \ z,R(x,u,w)). [hyper(236,a,11248,a(flip),b,11895,a(flip))]. 11897 a(x,T(y,x),R(x,z,u)) != w | a(x,y,R(x,z,u)) = w. [para(11895(a,1),4417(a,1))]. 11899 (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(5260(a,1),10586(a,1,1,2))]. 11900 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(10010(a,1),10964(a,1,2,1,1))]. 11901 (x \ 1) \ T(y \ (y / x),(y \ (y / x)) \ 1) = K(y \ (y / x),x) * (x * (y \ (y / x))). [para(6422(a,1),11336(a,1,1)),flip(a)]. 11902 (x \ 1) \ T(y \ (y / x),(y \ (y / x)) \ 1) = (y \ (y / x)) * x. [hyper(236,a,4817,a(flip),b,11901,a)]. 11904 (x \ 1) \ (((y \ (y / x)) \ 1) \ 1) = (y \ (y / x)) * x. [hyper(658,a,11902,a)]. 11905 (x \ 1) \ (y \ (y / ((x \ 1) \ 1))) = (y \ (y / x)) * x. [para(2775(a,1),11904(a,1,2))]. 11906 ((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(4590,a,11868,a)]. 11907 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(236,a,8576,a(flip),b,11886,a)]. 11908 ((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(8886(a,1),11899(a,1,1))]. 11909 K(x,T((y * (x \ z)) \ u,w)) = K(x,T((y * z) \ (u * x),w)). [hyper(236,a,10963,a(flip),b,11900,a(flip))]. 11910 K(x,T((y * z) \ (u * x),y * z)) = K(x,u / (y * (x \ z))). [hyper(9447,a,11909,a),flip(a)]. 11911 K(x,(y * x) / (z * u)) = K(x,y / (z * (x \ u))). [hyper(8187,a,11910,a)]. 11912 K(x,y / (z * (x \ u))) = K(x,((z * u) / y) \ x). [hyper(9731,a,11911,a),flip(a)]. 11913 R(K(x,((y * z) / (u / w)) \ x),w \ u,w) = K(x,u / ((y * (x \ z)) * w)). [para(11912(a,1),10687(a,1,1))]. 11914 K(x,y / ((x \ (z * u)) * w)) = K(x,y / ((z * (x \ u)) * w)). [hyper(236,a,10764,a(flip),b,11913,a(flip)),flip(a)]. 11915 K(x,y / ((z * (x \ u)) * w)) = K(x,(((z * u) * w) / y) \ x). [hyper(11034,a,11914,a),flip(a)]. 11916 K(x,(((y * z) * u) / (z * u)) \ x) = R(K(x,y \ x),z,u). [hyper(236,a,6900,a(flip),b,11915,a(flip))]. 11917 R(K(x,y \ x),z,u) = K(x,R(y,z,u) \ x). [para(30(a,2),11916(a,1,2,1)),flip(a)]. 11918 R(K(x,R(1 / y,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(490(a,1),11917(a,2,2,1))]. 11919 K(x,R(y \ x,z,u) \ x) = R(K(x,y),z,u). [para(5305(a,1),11917(a,1,1)),flip(a)]. 11920 K(x,R(y \ 1,z,u) \ x) = R(K(x,x * y),z,u). [para(5636(a,1),11917(a,1,1)),flip(a)]. 11921 R(K(x,R(y \ x,z,u) \ x),w,v5) = K(x,R(R(x / y,z,u),w,v5) \ x). [para(11167(a,1),11917(a,1,1))]. 11922 K(x,R(1 / y,z,u) \ x) = R(K(x,x * y),z,u). [hyper(236,a,5490,a,b,11920,a(flip)),flip(a)]. 11923 T(x,R(y \ 1,z,u) \ x) = x * R(K(x,x * y),z,u). [para(11920(a,1),4887(a,2,2))]. 11924 K(x,R(R(x / y,z,u),w,v5) \ x) = R(R(K(x,y),z,u),w,v5). [para(11919(a,1),11921(a,1,1)),flip(a)]. 11925 R(K(x,R(y \ 1,y,z) \ x),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(5490(a,1),11918(a,1,1))]. 11926 L(a(x,y,z),x * (y * z),K(u \ 1,u)) = a(x,y,z * K(u \ 1,u)). [hyper(4710,a,11906,a),flip(a)]. 11927 a(x,y,z * K(u \ 1,u)) = a(x,y,z). [hyper(3613,a,11926,a)]. 11929 a(x,y,(z \ 1) \ 1) = a(x,y,z). [para(1377(a,1),11927(a,1,3)),flip(a)]. 11930 a(x,y,1 / z) = a(x,y,z \ 1). [para(1434(a,1),11927(a,1,3)),flip(a)]. 11931 a(x,y,K(z,z \ 1) * u) = a(x,y,u). [para(2857(a,1),11927(a,1,3)),flip(a)]. 11932 a(x,y,(1 / z) \ u) = a(x,y,(z \ 1) \ u). [para(2949(a,1),11927(a,1,3))]. 11933 K(x,a(y,z \ 1,z) \ 1) = 1. [para(11929(a,1),10422(a,1,2,1))]. 11934 T(a(x,y \ 1,y) \ 1,z) = a(x,y \ 1,y) \ 1. [para(11933(a,1),4944(a,1,1,2))]. 11935 ((x * (y * (K(z,z \ 1) * u))) \ ((x * y) * u)) * K(z,z \ 1) = a(x,y,u). [hyper(236,a,4713,a,b,11931,a(flip)),flip(a)]. 11936 a(x,y,z * (u * (1 / w))) = a(x,y,z * (u * (w \ 1))). [para(4585(a,1),11931(a,1,3))]. 11938 ((x * (y * (z * K(u,u \ 1)))) \ ((x * y) * z)) * K(u,u \ 1) = a(x,y,z). [para(2500(a,1),11935(a,1,1,1,2,2))]. 11939 R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = ((x / y) * (y / x)) * ((x / y) \ 1). [para(4152(a,1),4082(a,1,1,2)),flip(a)]. 11940 R(1 / (x / y),x / y,(x / y) \ T(x,x \ y)) = y / x. [hyper(236,a,1878,a(flip),b,11939,a)]. 11941 R(1 / (x / y),x / y,x * (y / x)) = y / x. [para(4078(a,1),11940(a,1,3))]. 11942 ((x / y) \ (1 / (y / x))) * R(1 / (y / x),y / x,y * (x / y)) = 1 / (y / x). [para(11941(a,1),6859(a,1,1,1))]. 11943 ((x / y) \ (1 / (y / x))) * (x / y) = 1 / (y / x). [para(11941(a,1),11942(a,1,2))]. 11944 T(x / y,(x / y) \ (1 / (y / x))) = x / y. [hyper(268,a,11943,a)]. 11945 T(x / y,(x / y) \ ((y / x) \ 1)) = x / y. [hyper(236,a,4597,a(flip),b,11944,a(flip)),flip(a)]. 11946 ((x / y) \ ((y / x) \ 1)) * (x / y) = (y / x) \ 1. [para(11945(a,1),165(a,1,2))]. 11947 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(65(a,1),4301(a,1,1,2))]. 11948 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),11947(a,1,1))]. 11949 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),(1 / x) \ 1)) = L(y,x,x \ 1) \ (x * y). [para(2924(a,1),11948(a,1,1))]. 11950 ((1 / x) * (y * x)) \ ((1 / x) \ T(L(y,x,x \ 1),x)) = L(y,x,x \ 1) \ (x * y). [para(65(a,1),11949(a,1,2,2,2))]. 11951 ((1 / x) * (y * x)) \ ((1 / x) \ L(T(y,x),x,x \ 1)) = L(y,x,x \ 1) \ (x * y). [para(40(a,2),11950(a,1,2,2))]. 11952 ((1 / x) * (y * x)) \ ((1 / x) \ ((1 / x) * (y * x))) = L(y,x,x \ 1) \ (x * y). [para(2924(a,1),11951(a,1,2,2))]. 11953 ((1 / x) * (y * x)) \ (y * x) = L(y,x,x \ 1) \ (x * y). [para(13(a,1),11952(a,1,2))]. 11955 1 / R(T(x,y),x \ 1,y * x) = (L(y,x,x \ 1) \ (x * y)) \ 1. [para(11953(a,1),7078(a,1,1)),flip(a)]. 11956 ((L(x,y,y \ 1) \ (y * x)) \ 1) \ 1 = R(T(y,x),y \ 1,x * y). [para(11955(a,1),65(a,1,1))]. 11957 ((x \ 1) * (x * y)) \ (x * y) = R(T(x,y),x \ 1,y * x). [hyper(236,a,3084,a(flip),b,11956,a(flip)),flip(a)]. 11958 (L(x \ 1,x,y) \ (x \ 1)) * T(z,(x * ((y * x) \ y)) \ 1) = z * ((x \ 1) / ((x * ((y * x) \ y)) * (x \ 1))). [para(6062(a,1),4314(a,1,1))]. 11959 (K(x,y / z) * K(x,K(u,z \ y))) / T(K(x,z \ y),u) = R(K(x,K(z,y)),K(x,z \ y),K(K(x,z \ y),u)). [para(7935(a,1),9399(a,1,1,2))]. 11960 (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(5260(a,1),9461(a,1,1,2,2))]. 11968 (x \ (L(1 / x,x,y) \ 1)) * T(z,(x * ((y * x) \ y)) \ 1) = z * ((x \ 1) / ((x * ((y * x) \ y)) * (x \ 1))). [para(6158(a,1),11958(a,1,1))]. 11969 R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) / T(K(x,y \ z),u). [para(8042(a,1),11959(a,1,1)),flip(a)]. 11970 R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) / K(x,T(y \ z,u)). [para(7256(a,2),11969(a,2,2))]. 11971 R(K(x,K(y,z)),K(x,y \ z),K(K(x,y \ z),u)) = K(x,T(z / y,T(u,y))) * K(y \ z,T(x,u)). [hyper(236,a,7558,a(flip),b,11970,a)]. 11972 R(K(x,K(y,z)),K(x,z \ y),K(K(x,z \ y),u)) = K(x,T(y / z,T(u,z))) * K(z \ y,T(x,u)). [para(7937(a,1),11971(a,1,1))]. 11973 K(x,T(y / z,T(u,z))) * K(z \ y,T(x,u)) = K(x,K(y,z)). [hyper(236,a,6350,a(flip),b,11972,a(flip))]. 11975 (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(5192(a,1),11960(a,1,1,2))]. 11976 (x * (K(y,z) * u)) * K(z,L(y,y \ u,x)) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(10620(a,1),11975(a,1,2))]. 11977 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(z,y) \ (u / y)) * K(z,y)) * y). [para(8971(a,1),11976(a,1,2))]. 11979 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (((K(y,z) * (u / y)) * K(z,y)) * y). [para(5260(a,1),11977(a,2,2,1,1))]. 11980 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * (T(u / y,K(y,z)) * y). [para(7986(a,1),11979(a,2,2,1))]. 11981 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T((u / y) * y,K(y,z)). [para(7162(a,2),11980(a,2,2))]. 11982 (x * (K(y,z) * u)) * L(K(z,y),u,x) = x * T(u,K(y,z)). [para(16(a,1),11981(a,2,2,1))]. 11983 ((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(11982(a,1),6102(a,1,1,2))]. 11984 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),6702(a,2,2,1,2))]. 11985 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(236,a,181,a(flip),b,11984,a)]. 11986 K(x,y) * (L(K(x,z),u,w) * (K(x,y) \ v5)) = L(K(x,z),u,w) * v5. [para(181(a,1),11985(a,1,2))]. 11987 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * v5)) = L(K(x,z),u,w) * v5. [para(5260(a,1),11986(a,1,2,2))]. 11988 L(K(x,y),z,u) * (K(w,x) * v5) = K(w,x) * (L(K(x,y),z,u) * v5). [hyper(5285,a,11987,a),flip(a)]. 11989 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(236,a,2683,a(flip),b,11987,a)]. 11991 L(K(x,y),z,u) * (K(y,x) * w) = a(u,z,K(y,x)) * w. [hyper(236,a,10185,a(flip),b,11988,a)]. 11992 K(x,y) * (L(K(x,z),u,w) * (K(y,x) * v5)) != v6 | L(K(x,z),u,w) * v5 = v6. [para(11988(a,2),5271(a,1,2)),flip(b)]. 11993 a(x,y,K(z,u)) \ w = a(x,y,K(u,z)) * w. [hyper(236,a,10228,a(flip),b,11991,a(flip)),flip(a)]. 11994 x / (a(y,z,K(u,w)) * x) = a(y,z,K(w,u)). [hyper(428,a,11993,a)]. 11995 a(x,y,K(z,u)) * (a(x,y,K(u,z)) * w) = w. [hyper(306,a,11993,a),flip(a)]. 11996 a(x,y,K(z,u)) \ K(w,u) = K(w,u) * a(x,y,K(u,z)). [hyper(236,a,10177,a,b,11993,a)]. 11997 a(x,y,K(z,u)) * (a(x,y,K(u,z)) * w) != v5 | v5 = w. [para(11993(a,1),216(a,1,2))]. 11999 a(x,y,K(z,u)) * w != v5 | a(x,y,K(u,z)) * v5 = w. [para(11994(a,1),81(a,1,1)),flip(b)]. 12002 a(x,y,K(z * u,z)) \ K(w,z) = K(w,z) * a(x,y,K(z,u)). [para(11742(a,2),11996(a,1,1))]. 12003 a(x,y,K(z,z * u)) = a(x,y,K(z,u)). [hyper(17,a,11996,a(flip),b,12002,a(flip)),flip(a)]. 12004 a(x,y,K(z,z \ u)) = a(x,y,K(z,u)). [para(14(a,1),12003(a,1,3,2)),flip(a)]. 12005 a(x,y,K(z,u \ z)) = a(x,y,K(u,z)). [hyper(236,a,11744,a,b,12004,a(flip)),flip(a)]. 12006 a(x,y,K(z \ u,u)) = a(x,y,K(u,z)). [para(5305(a,1),12005(a,1,3)),flip(a)]. 12007 a(x,y,K(z \ 1,u)) = a(x,y,K(u,z)). [hyper(236,a,11745,a,b,12006,a(flip)),flip(a)]. 12008 a(x,y,K(z,u \ 1)) = a(x,y,K(u,z)). [para(3247(a,1),12007(a,1,3)),flip(a)]. 12009 a(x,y,K(z \ u,w)) = a(x,y,K(w,u \ z)). [para(6269(a,1),12007(a,1,3))]. 12011 a(x,y,K(y \ z,u)) = a(x,z,K(u,z \ y)). [hyper(236,a,11563,a(flip),b,12009,a)]. 12012 a(x,y * ((y \ z) * u),K(w,(y * ((y \ z) * u)) \ z)) = a(x,z,K(L(u,y \ z,y),w)). [para(104(a,1),12011(a,1,3,1)),flip(a)]. 12013 a(x,y * ((y \ z) * u),K(w,(y * ((y \ z) * u)) \ z)) = a(x,z,K(u,L(w,y \ z,y))). [para(11533(a,1),12012(a,2,3))]. 12014 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(L(x,T(y,x),x),T(x,y * x) \ z). [para(4308(a,1),8985(a,2,2,1))]. 12015 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(L(x,T(y,x),x),T(x,x * y) \ z). [para(4255(a,1),12014(a,2,2,2,1))]. 12016 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(x,T(x,x * y) \ z). [para(8282(a,1),12015(a,2,2))]. 12017 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = z * K(x,x \ z). [para(7433(a,1),12016(a,2,2))]. 12019 (((x * (y * x)) / x) / y) * (z / (((x * (y * x)) / x) / y)) = x * (z / x). [hyper(236,a,5079,a(flip),b,12017,a)]. 12021 L(x,T(y,x),x) * (z / (((x * (y * x)) / x) / y)) = x * (z / x). [para(4308(a,1),12019(a,1,1))]. 12022 L(x,T(y,x),x) * (z / L(x,T(y,x),x)) = x * (z / x). [para(4308(a,1),12021(a,1,2,2))]. 12023 L(x,y,x) * (z / L(x,T(y,x),x)) = x * (z / x). [para(4307(a,1),12022(a,1,1))]. 12024 L(x,y,x) * (z / L(x,y,x)) = x * (z / x). [para(4307(a,1),12023(a,1,2,2))]. 12025 L(x,y,x) * ((z * x) / L(x,y,x)) = x * z. [para(15(a,1),12024(a,2,2))]. 12026 L(x,y,x) * (z * a(x,y,x)) = x * z. [para(9114(a,1),12025(a,1,2))]. 12027 L(x,y,x) \ (x * z) = z * a(x,y,x). [hyper(80,a,12026,a)]. 12028 (x \ y) * a(x,z,x) = L(x,z,x) \ y. [hyper(72,a,14,a(flip),b,12026,a),flip(a)]. 12029 x * (y / a(x,z,x)) = L(x,z,x) * y. [para(16(a,1),12026(a,1,2)),flip(a)]. 12030 x * (L(x,y,x) \ z) = z * a(x,y,x). [hyper(236,a,1210,a(flip),b,12027,a(flip)),flip(a)]. 12031 L(x,y,x) * (x \ z) = z / a(x,y,x). [hyper(17,a,1208,a,b,12029,a),flip(a)]. 12032 L(x,y,x) \ x = x \ R(x,y,x). [hyper(72,a,9044,a(flip),b,12030,a),flip(a)]. 12033 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(x,z,x). [hyper(236,a,8671,a,b,12030,a(flip)),flip(a)]. 12034 K(x,y) * (z * a(x,u,x)) = T(x,y) * (L(x,u,x) \ z). [para(12030(a,1),4906(a,1,2))]. 12035 T(x,y) * (L(T(x,y),z,x) \ u) = u * a(T(x,y),z,T(x,y)). [para(7536(a,1),12030(a,1,2,1))]. 12036 (x \ L(x,y,x)) \ 1 = x \ R(x,y,x). [hyper(236,a,6710,a,b,12032,a(flip)),flip(a)]. 12037 (x / y) \ (x / a(y,z,y)) = L(y,z,y). [hyper(72,a,12031,a(flip),b,8356,a(flip))]. 12038 K(x,y) * (z * a(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(12033(a,1),4860(a,1,2))]. 12039 K(x,x * y) * (z * a(x,y,x)) = K(x,y) * z. [hyper(236,a,10068,a(flip),b,12034,a)]. 12040 K(x,y) * (z * L(x,y,x)) = K(x,x * y) * (z * x). [para(9118(a,1),12039(a,1,2)),flip(a)]. 12041 K(x,y) * ((z / y) * R(y,u,y)) = y * (L(T(y,x),u,y) \ z). [para(11403(a,2),12038(a,1,2))]. 12042 a(T(x,y),z,T(x,y)) = a(x,z,x). [hyper(17,a,12033,a(flip),b,12035,a(flip))]. 12044 ((x * y) * a(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(12042(a,1),9120(a,1,1,2))]. 12045 K(T(x,y * z) * z,T(x,y * z)) = a(x,z,x) * K(z,T(x,y)). [para(12042(a,1),9075(a,1,1)),flip(a)]. 12047 R(x,y,x) * (T(x,z) \ u) = x * (L(T(x,z),y,x) \ u). [hyper(236,a,10608,a(flip),b,12041,a(flip)),flip(a)]. 12048 K(x,y) * (x * (L(T(x,z),u,x) \ w)) = R(T(x,y),u,x) * (T(x,z) \ w). [para(12047(a,1),7217(a,1,2))]. 12049 (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,T(y,x)). [para(11408(a,1),12044(a,1,1))]. 12051 (x * R(y,z,y)) \ ((y * x) * y) = L(T(y,x),z,y). [hyper(236,a,7536,a(flip),b,12049,a)]. 12054 R(T(x,y),z,x) * (T(x,u) \ w) = T(x,y) * (L(T(x,u),z,x) \ w). [hyper(5216,a,12048,a),flip(a)]. 12055 (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(12036(a,1),9099(a,1,1,2))]. 12056 (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(9097(a,1),12055(a,1,2,1))]. 12057 (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(3688(a,1),12056(a,1,2,2))]. 12058 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(2629(a,1),12057(a,1,2)),flip(a)]. 12060 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(9097(a,1),12058(a,1,2,1))]. 12061 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y / R(y,z,y)). [para(12036(a,1),12060(a,1,2)),flip(a)]. 12062 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = R(x,y \ R(y,z,y),y \ L(y,z,y)). [para(9097(a,1),12061(a,2,3))]. 12063 (x * (y \ R(y,z,y))) * (y \ L(y,z,y)) = x. [hyper(236,a,11432,a(flip),b,12062,a)]. 12065 (x * (K(T(y,z),u) * K(y * u,T(y,z)))) * (y \ L(y,u,y)) = x. [para(10403(a,2),12063(a,1,1,2))]. 12066 K(x,T(y,z)) * K(T(y,z),y * x) = y \ L(y,x,y). [hyper(9094,a,12065,a)]. 12067 K(x,T(y,z)) * K(y,T(y * x,z)) = y \ L(y,x,y). [hyper(8525,a,12066,a)]. 12068 K(x,T(y,z)) * T(y,T(y * x,z)) = (y \ L(y,x,y)) * y. [para(12067(a,1),6188(a,1,1)),flip(a)]. 12069 K(x,T(y,z)) * T(y,T(y * x,z)) = L(y,x,y). [hyper(236,a,4763,a(flip),b,12068,a)]. 12070 K(x \ 1,T(y,z)) * T(y,T(x \ y,z)) = L(y,x \ 1,y). [para(8953(a,1),12069(a,1,2))]. 12071 K(x \ (y \ x),z) * T(z,T(y \ z,x)) = L(z,y \ 1,z). [para(7370(a,2),12070(a,1,1))]. 12072 L(x,y \ (z \ y),x) = L(x,z \ 1,x). [hyper(236,a,10881,a(flip),b,12071,a(flip)),flip(a)]. 12074 L(x,(y / z) \ 1,x) = L(x,y \ z,x). [para(65(a,1),12072(a,1,2,2)),flip(a)]. 12075 L(x,y * (y \ ((z / u) \ 1)),x) = L(x,z \ u,x). [para(14(a,2),12074(a,1,2))]. 12076 (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(1771(a,1),10341(a,1,1))]. 12077 (1 / R(x,y,z)) \ (K(x,u) / R(x,y,z)) = K(x,u). [hyper(8657,a,12076,a(flip)),flip(a)]. 12078 (1 / R(x,y,z)) * K(x,u) = K(x,u) / R(x,y,z). [para(12077(a,1),14(a,1,2))]. 12079 (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(12078(a,1),11908(a,1,1))]. 12080 (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(10585(a,1),12079(a,1,2))]. 12081 (K(x,y) / R(x,z,u)) \ 1 = K(x,y) \ R(x,z,u). [hyper(1095,a,12080,a)]. 12082 (K(x,y) / R(x,z,u)) \ 1 = K(y,x) * R(x,z,u). [hyper(236,a,5260,a(flip),b,12081,a)]. 12083 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(236,a,8783,a,b,12082,a(flip)),flip(a)]. 12084 K(x,R(y,z,R(y,u,w))) = K(x,y). [hyper(3187,a,12083,a),flip(a)]. 12085 K(T(x,y),T(z,y)) = K(x,R(z,u,R(T(z,y),w,v5))). [hyper(8183,a,12084,a),flip(a)]. 12087 K(x,R(y,z,R(T(y,u),w,v5))) = K(x,y). [hyper(8173,a,12085,a),flip(a)]. 12089 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(12087(a,1),10371(a,1,1))]. 12090 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(5208,a,12089,a)]. 12091 K(x,y) * (y \ R(T(y,x),z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(10349(a,1),12089(a,1,2,2))]. 12093 x \ R(x,y,R(T(x,z),u,w)) != v5 | a(T(x,z),y,R(T(x,z),u,w)) = v5. [para(12090(a,1),10266(a,1))]. 12094 K(x,y) * (K(y,x) * a(y,z,R(y,u,w))) = y \ R(y,z,R(T(y,x),u,w)). [para(10375(a,1),12091(a,1,2))]. 12095 x \ R(x,y,R(T(x,z),u,w)) = a(x,y,R(x,u,w)). [hyper(5271,a,12094,a)]. 12096 a(T(x,y),z,R(T(x,y),u,w)) = a(x,z,R(x,u,w)). [hyper(12093,a,12095,a)]. 12099 a(R(x,y,z),u,x) \ 1 = a(x,u,R(x,y,z)) \ 1. [para(12096(a,1),10281(a,1,1)),flip(a)]. 12101 (T((x \ y) * z,y \ x) * (((x \ y) * z) \ z)) \ u = K(((x \ y) * z) \ z,T((x \ y) * z,z)) * (z \ u). [para(7257(a,1),11102(a,2,1))]. 12102 L(x \ T(y,x \ 1),x,x \ (x * ((z * x) \ z))) = (x * ((z * x) \ z)) \ (y * ((x * ((z * x) \ z)) / x)). [para(6376(a,1),11138(a,1,1,2))]. 12103 (x * ((y * x) \ y)) \ (z * ((x * ((y * x) \ y)) / x)) = L(x \ T(z,x \ 1),x,(y * x) \ y). [para(13(a,1),12102(a,1,3)),flip(a)]. 12106 (x * ((y * x) \ y)) \ (z * L(1 / x,x,y)) = L(x \ T(z,x \ 1),x,(y * x) \ y). [para(800(a,1),12103(a,1,2,2))]. 12107 (x * ((y * x) \ y)) \ ((z * K(x \ 1,z)) * L(1 / x,x,y)) = L(x \ z,x,(y * x) \ y). [para(4853(a,1),12106(a,2,1,2))]. 12108 (x * ((y * x) \ y)) \ (z * (K(x \ 1,z) * L(1 / x,x,y))) = L(x \ z,x,(y * x) \ y). [para(5574(a,1),12107(a,1,2))]. 12109 (x * ((y * x) \ y)) \ (z * L(T(1 / x,z),x,y)) = L(x \ z,x,(y * x) \ y). [para(6347(a,1),12108(a,1,2,2))]. 12110 (x * ((y * x) \ y)) \ (L(1 / x,x,y) * z) = L(x \ z,x,(y * x) \ y). [para(181(a,1),12109(a,1,2))]. 12111 K(x \ 1,x) * ((y * z) / ((x * y) * z)) = (((y * z) / ((x * y) * z)) \ 1) \ 1. [para(6901(a,1),4013(a,1,1))]. 12113 (1 / ((x * y) \ x)) * (z / (L(1 / y,y,x) \ 1)) = z * K(1 / (1 / y),z * ((x * (1 / (1 / y))) \ x)). [para(2764(a,1),6921(a,1,1))]. 12114 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(7864(a,1),8623(a,1,1,1))]. 12115 L((x \ y) \ y,T(x,y) \ y,(x \ y) \ y) = T(x,x * (y / T(x,y))). [para(4116(a,1),12114(a,1,1)),flip(a)]. 12116 L((x \ y) \ y,T(x,y) \ y,(x \ y) \ y) = T(x,y). [hyper(236,a,7661,a(flip),b,12115,a)]. 12118 (((x * (K(y,z) / z)) \ x) * (x \ (x * (K(y,z) / z)))) \ u = u / (L(T(z,y),z \ 1,x) * (K(y,z) / z)). [para(13(a,1),11674(a,2,2,2))]. 12120 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(5093(a,1),11989(a,2,1,2,1))]. 12121 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(10176(a,1),12120(a,2,1))]. 12122 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(6040(a,1),12121(a,1,2,2,2,1))]. 12123 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(11992,a,12122,a)]. 12124 a(x,y,L(K(z,u),w,v5)) = L(a(x,y,K(z,u)),w,v5). [hyper(236,a,10943,a(flip),b,12123,a(flip)),flip(a)]. 12125 a(x,y,K(z,L(u,w,v5))) = L(a(x,y,K(z,u)),w,v5). [para(11470(a,1),12124(a,1,3))]. 12126 (x * y) * a(z,u,K(w,L(v5,y,x))) = x * (y * a(z,u,K(w,v5))). [para(12125(a,2),103(a,1,2))]. 12127 (x * y) * a(z,u,K(w,L(v5,y,x))) != v6 | x * (y * a(z,u,K(w,v5))) = v6. [para(12125(a,2),219(a,1,2))]. 12128 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(9018(a,1),9022(a,1,1,2,1,1)),flip(a)]. 12129 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),12128(a,2,1,2,1))]. 12131 (x * R(K(y,z),u,w)) * K(z,v5) = x * (R(K(y,z),u,w) * K(z,v5)). [para(9018(a,1),12129(a,1,1)),flip(a)]. 12132 (x * R(K(y,z),u,w)) * K(z,v5) = x * (K(z,v5) * R(K(y,z),u,w)). [para(2195(a,1),12131(a,2,2))]. 12133 x / (K(y,z) * R(K(z,u),w,v5)) = x * (K(z,y) * R(K(u,z),w,v5)). [hyper(236,a,9923,a,b,12132,a(flip)),flip(a)]. 12134 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(12132(a,1),11326(a,1,1))]. 12135 (x * (K(y,z) * R(K(z,u),w,v5))) * (K(z,y) * R(K(u,z),w,v5)) = x. [hyper(304,a,12133,a),flip(a)]. 12136 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(5265(a,1),12134(a,1,1,2))]. 12137 x / a(K(y,z),u,u \ 1) = x * a(K(z,y),u,u \ 1). [hyper(236,a,9025,a(flip),b,12136,a(flip))]. 12138 a(K(x,y),z,z \ 1) \ 1 = a(K(y,x),z,z \ 1). [hyper(4686,a,12137,a)]. 12140 T(x,a(K(y,z),u,u \ 1)) = x. [para(12138(a,1),10424(a,1,2))]. 12141 T(x,a(K(y,z),u \ 1,u)) = x. [para(11929(a,1),12140(a,1,2))]. 12142 T(a(K(x,y),z \ 1,z),u) = a(K(x,y),z \ 1,z). [hyper(35,a,12141,a)]. 12143 T(a(K(x,y),z \ 1,z),u) = K(x,y) \ R(K(x,y),z \ 1,z). [hyper(236,a,3606,a,b,12142,a)]. 12144 T(K(x,y) * R(K(y,x),z \ 1,z),u) = K(y,x) \ R(K(y,x),z \ 1,z). [para(5264(a,2),12143(a,1,1))]. 12145 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(236,a,9987,a,b,12144,a(flip)),flip(a)]. 12146 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(236,a,7295,a,b,12145,a(flip)),flip(a)]. 12147 K(x,K(y,R(z,u \ 1,u))) = K(x,K(z,y)). [hyper(10496,a,12146,a)]. 12148 K(x,K(y,R(z,u,u \ 1))) = K(x,K(z,y)). [para(2813(a,1),12147(a,1,2,2))]. 12149 K(x,K(y,R(z,u,u \ 1))) = K(x,K(y,z)). [hyper(236,a,7937,a,b,12148,a)]. 12150 T(x,K(y,R(z,u,u \ 1))) = x * K(y,K(z,x)). [para(12148(a,1),7924(a,1,2)),flip(a)]. 12151 K(x,K(y,z * (u \ 1))) = K(x,K(y,z / u)). [para(482(a,1),12149(a,1,2,2))]. 12152 K(x,K(y,z / (1 / u))) = K(x,K(y,z * u)). [para(65(a,1),12151(a,1,2,2,2)),flip(a)]. 12153 K(x,K(y,z / (u \ 1))) = K(x,K(y,z * u)). [para(5469(a,1),12151(a,1,2)),flip(a)]. 12154 K(x,K(y,z * (1 / u))) = K(x,K(y,z / u)). [para(5472(a,2),12151(a,1,2))]. 12155 K(x,K(y,(1 / z) / u)) = K(x,K(y,u * z)). [hyper(9361,a,12152,a)]. 12156 K(x,K(y,(z \ 1) / u)) = K(x,K(y,u * z)). [hyper(9361,a,12153,a)]. 12157 K(x,K(y / (z \ 1),u)) = K(x,K(u,y * z)). [hyper(7971,a,12153,a)]. 12158 a(x,y * ((1 / z) / u),K(w,K(v5,u * z))) = a(x,y,K((1 / z) / u,K(w,v5))). [para(12155(a,1),11531(a,1,3))]. 12159 K(x,K(y,(z \ 1) / (u / z))) = K(x,K(y,u)). [para(16(a,1),12156(a,2,2,2))]. 12160 K(x,K(y,(z \ 1) / (u / z))) = K(y,K(x,u)). [hyper(7921,a,12159,a)]. 12161 K(x,(T(y,z) / u) / (y / u)) = K(x,K(z,y)). [hyper(236,a,9274,a(flip),b,12160,a(flip)),flip(a)]. 12163 K(x,K(y,z)) * (z / u) = T(z,K(x,y)) / u. [para(12161(a,1),9821(a,1,1))]. 12164 R(K(x,K(y,z)),z / u,u) = K(x,K(z,y)). [para(12161(a,1),10156(a,1,1))]. 12165 R(K(x,K(y,z)),y / u,u) = K(x,K(y,z)). [para(7937(a,1),12164(a,1,1))]. 12167 K(x,K(y,R(z,x / u,u))) = K(z,K(x,y)). [hyper(236,a,9417,a(flip),b,12165,a(flip)),flip(a)]. 12168 K(x,K(y,R(z,u,u \ x))) = K(z,K(x,y)). [para(62(a,1),12167(a,1,2,2,2))]. 12169 K(x,K(y,z)) * (T(z,K(x,y)) / u) = z / u. [hyper(7968,a,12163,a)]. 12170 T(x,K(y,z)) / (u \ x) = K(y,K(z,x)) * u. [hyper(536,a,12163,a),flip(a)]. 12172 K(x,K(y,z)) * (T(x,K(z,y)) / u) = x / u. [para(7885(a,1),12169(a,1,1))]. 12173 T(x,K(y,z)) / (u \ x) = K(x,K(y,z)) * u. [para(7923(a,1),12170(a,2,1))]. 12174 K((T(x,y) / z) / (x / z),u) = K(x,K(y,u)). [hyper(9823,a,12172,a)]. 12175 (K(x,K(y,z)) * u) \ T(x,K(y,z)) = u \ x. [para(12173(a,1),65(a,1,1))]. 12176 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(11319(a,1),12174(a,1,1,1,1))]. 12177 L(x \ y,x,K(y,K(z,u))) = x \ y. [hyper(4979,a,12175,a)]. 12178 a(K(x,K(y,z)),u,u \ x) = 1. [hyper(34,a,12177,a)]. 12179 a(K(x * y,K(z,u)),x,y) = 1. [para(13(a,1),12178(a,1,3))]. 12180 a(K(K(x,y),z),u,u \ z) = 1. [para(5835(a,2),12178(a,1,1))]. 12181 a(K(x,K(y,z * u)),z,u) = 1. [para(7885(a,1),12179(a,1,1))]. 12182 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,v6)) * K(w,K(v5,v6)). [hyper(236,a,7961,a,b,12180,a)]. 12183 T(x,K(y,R(z,u,u \ 1))) = T(x,K(z,y)). [hyper(236,a,7893,a(flip),b,12150,a)]. 12184 T(x,K(y,T(z * (u \ 1),u))) = T(x,K(y,u \ z)). [hyper(236,a,9593,a(flip),b,12183,a(flip)),flip(a)]. 12186 T(x,K(T(y,z),z \ u)) = T(x,K(y,u * (z \ 1))). [para(8054(a,1),12184(a,1,2)),flip(a)]. 12187 T(x,K(y,z * (u \ 1))) = T(x,K(y,z / u)). [para(8078(a,1),12186(a,1,2)),flip(a)]. 12188 T(T(x,y),K(y,z / u)) = T(x,T(y,(z * (u \ 1)) \ 1)). [hyper(9298,a,12187,a),flip(a)]. 12189 T(x,K(y,z * (x \ 1))) = T(x,K(y,z)). [hyper(236,a,9332,a(flip),b,12187,a)]. 12190 T(x \ 1,K(y,z * x)) = T(x \ 1,K(y,z)). [para(5469(a,1),12189(a,1,2))]. 12191 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(12190(a,1),5017(a,1,1))]. 12192 T(x,T(y,(z * (u \ 1)) \ 1)) = T(x,T(y,z / u)). [hyper(7185,a,12188,a),flip(a)]. 12193 T(x,T(y,z * (u \ 1))) = T(x,T(y,z / u)). [hyper(9329,a,12192,a)]. 12194 T(x,T(y,z * (u \ 1))) = x * K(x,T(y,z / u)). [hyper(236,a,4887,a(flip),b,12193,a)]. 12195 K(x,T(y,z * (u \ 1))) = K(x,T(y,z / u)). [hyper(4954,a,12194,a)]. 12197 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(v6,K(w,v5)). [para(12168(a,1),12182(a,2,2))]. 12198 a(K(K(x,y),z),u,u \ z) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(7923(a,2),12197(a,2,2))]. 12199 a(K(x,K(y,z)),u,u \ x) = K(w,K(v5,R(v6,v7,v7 \ w))) * K(w,K(v5,v6)). [para(5835(a,1),12198(a,1,1))]. 12200 K(K(((x \ L(x,y,z)) / u) / (u \ 1),x * w),v5) = K(x \ L(x,y,z),K(w * x,v5)). [para(5205(a,2),12176(a,1,1))]. 12201 K(x,K(((y \ L(y,z,u)) / w) / (w \ 1),y * v5)) = K(y \ L(y,z,u),K(v5 * y,x)). [hyper(8012,a,12200,a)]. 12202 K(x,K(y * z,((y \ L(y,u,w)) / v5) * v5)) = K(y \ L(y,u,w),K(z * y,x)). [hyper(236,a,12157,a(flip),b,12201,a(flip)),flip(a)]. 12203 K(x \ L(x,y,z),K(u * x,w)) = K(w,K(x * u,x \ L(x,y,z))). [para(16(a,1),12202(a,1,2,2)),flip(a)]. 12205 K(x,K(y * z,y \ L(y,u,w))) != v5 | K(x,K(z * y,y \ L(y,u,w))) = v5. [para(12203(a,1),7908(a,1))]. 12206 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(3069(a,1),9499(a,2,1,2))]. 12207 K(x * ((T(y,y \ 1) * z) \ z),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(636(a,1),12206(a,1,1,2,2))]. 12208 K(x * T((y * z) \ z,y),y \ 1) = K(x * R(y \ 1,y,z),y \ 1). [para(3321(a,1),12207(a,1,1,2))]. 12209 K(x * R(y \ 1,y,z),y \ 1) = K(x * ((y * z) \ z),y \ 1). [hyper(5886,a,12208,a),flip(a)]. 12210 K(x,T(K(y,K(z,u)) * w,(y / K(v5,u)) * K(y,K(z,u)))) = K(x,((y / K(v5,u)) * w) / ((y / K(v5,u)) * K(y,K(z,u)))). [para(7964(a,1),9919(a,1,2,1))]. 12211 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(7886(a,1),12191(a,1,2,1,2))]. 12212 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(9238(a,1),12211(a,1,2,1,2))]. 12213 T(x \ 1,K(y,z)) * L((x \ 1) \ K(x,K(y,x * z)),u,w) = T((x \ 1) * L((x \ 1) \ 1,u,w),K(y,z * x)). [para(7931(a,1),12212(a,1,2,1,2))]. 12214 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(9199(a,1),12213(a,1,2,1,2))]. 12215 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(4870(a,1),12214(a,1,2,1))]. 12216 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(5828,a,12215,a)]. 12217 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(9266(a,1),12216(a,1,1)),flip(a)]. 12218 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(1337(a,1),12217(a,2,2))]. 12219 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(236,a,7965,a(flip),b,12218,a)]. 12220 ((x \ (x / y)) * x) * ((z \ L(K(x,y \ 1) * z,K(y \ 1,x),x / y)) * z) = (x / y) * (z * K(K(y \ 1,x) \ 1,z)). [para(5260(a,1),6171(a,1,2,1,2,1))]. 12221 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),6628(a,1,1,1)),flip(a)]. 12222 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(236,a,7264,a(flip),b,12221,a)]. 12224 K(T(x,R(x,y,z) * (x \ u)),(R(x,y,z) \ w) \ u) = K(x,(R(x,y,z) * u) / w). [hyper(236,a,9194,a(flip),b,12222,a)]. 12225 K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * (x \ w))) = K(x,(R(x,y,z) * w) / u). [hyper(7823,a,12224,a)]. 12226 K(x,T((R(x,y,z) \ u) \ w,R(x,y,z) * w)) = K(x,(R(x,y,z) * w) / u). [hyper(236,a,9445,a(flip),b,12225,a(flip)),flip(a)]. 12227 K(x,T((R(x,y,z) \ u) \ w,w)) = K(x,(R(x,y,z) * w) / u). [hyper(9197,a,12226,a)]. 12228 K(x,(R(x,y,z) * u) / w) = K(x,u / (R(x,y,z) \ w)). [hyper(8189,a,12227,a),flip(a)]. 12230 K(x,R(x,y,z) / (u / w)) = K(x,w / (R(x,y,z) \ u)). [hyper(236,a,10592,a(flip),b,12228,a(flip)),flip(a)]. 12231 K(x,y / (R(x,z,u) \ w)) = K(x,(w / y) \ R(x,z,u)). [hyper(6481,a,12230,a),flip(a)]. 12232 K(x,(y * R(x,z,u)) / w) = K(x,(w / y) \ R(x,z,u)). [hyper(236,a,8996,a,b,12231,a(flip)),flip(a)]. 12233 K(R(x,K(y * z,x) * y,z),u \ x) = K(x,(((u * y) * z) / (y * z)) \ R(x,y,z)). [hyper(236,a,11315,a,b,12232,a(flip)),flip(a)]. 12234 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),12233(a,2,2,1))]. 12235 K(x,R(y,z,u) \ R(x,z,u)) = K(R(x,z,u),y \ x). [hyper(236,a,9523,a(flip),b,12234,a(flip))]. 12237 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(5260(a,1),9968(a,1,1,1))]. 12238 ((x \ T(x * (y / (z * y)),y / (z * y))) * (z * y)) / y = K(x * (y / (z * y)),z \ 1). [hyper(236,a,6843,a(flip),b,5504,a(flip))]. 12240 K((((x \ 1) * (y * z)) / z) \ 1,z / (y * z)) = K(x * (z / (y * z)),y \ 1). [hyper(236,a,6107,a(flip),b,12238,a(flip)),flip(a)]. 12241 K((x \ 1) \ (y / (z * y)),((z * y) / y) \ 1) = K(x * (y / (z * y)),z \ 1). [hyper(236,a,6936,a(flip),b,12240,a(flip)),flip(a)]. 12242 K((x \ 1) \ (y / (z * y)),z \ 1) = K(x * (y / (z * y)),z \ 1). [para(15(a,1),12241(a,1,2,1))]. 12243 K((x \ 1) \ ((y * z) \ z),y \ 1) = K(x * (z / (y * z)),y \ 1). [hyper(236,a,8703,a(flip),b,12242,a(flip)),flip(a)]. 12244 K((x \ 1) \ ((y * z) \ z),y \ 1) = K(x * ((y * z) \ z),y \ 1). [hyper(11598,a,12243,a(flip)),flip(a)]. 12245 K((x \ 1) \ (y \ 1),y \ 1) = K(x * ((y * z) \ z),y \ 1). [hyper(236,a,10294,a(flip),b,12244,a(flip)),flip(a)]. 12246 K(x * ((y * z) \ z),y \ 1) = K(x * (y \ 1),y \ 1). [hyper(8422,a,12245,a),flip(a)]. 12248 K(x * ((y * z) \ z),y \ 1) = K(y \ x,y \ 1). [hyper(236,a,7874,a(flip),b,12246,a)]. 12249 K(x * R(y \ 1,y,z),y \ 1) = K(y \ x,y \ 1). [hyper(236,a,12209,a,b,12248,a(flip)),flip(a)]. 12251 T(K(x \ y,x \ 1) / x,y) = R(1 / x,y,z / (x * z)). [para(12249(a,1),6917(a,1,1,1))]. 12252 R(1 / x,y,z / (x * z)) = R(1 / x,y,x \ 1). [hyper(236,a,8431,a(flip),b,12251,a(flip))]. 12254 R(1 / (x / y),z,(x / y) \ 1) = R(1 / (x / y),z,y / x). [para(16(a,1),12252(a,1,3,2)),flip(a)]. 12255 ((x \ y) \ K(x \ y,z)) * (((x \ y) * K(z,x \ y)) * ((y * K(z,x \ y)) \ x)) = (x * ((x \ y) * K(z,x \ y))) \ x. [para(5113(a,1),6529(a,1,1))]. 12256 ((x \ y) \ K(x \ y,z)) * ((x \ y) * (K(z,x \ y) * ((y * K(z,x \ y)) \ x))) = (x * ((x \ y) * K(z,x \ y))) \ x. [para(5574(a,1),12255(a,1,2))]. 12257 ((x \ y) \ K(x \ y,z)) * ((x \ y) * (K(z,x \ y) * ((y * K(z,x \ y)) \ x))) = (y * K(z,x \ y)) \ x. [para(6428(a,1),12256(a,2,1))]. 12258 ((x \ y) \ K(x \ y,z)) * ((x \ y) * (K(z,x \ y) * T(x / (y * K(z,x \ y)),y * K(z,x \ y)))) = (y * K(z,x \ y)) \ x. [para(121(a,2),12257(a,1,2,2,2))]. 12259 (x \ 1) * ((K(y,z) * u) * T((K(z,y) \ u) \ ((x \ 1) \ u),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(5260(a,1),8778(a,1,2,1))]. 12260 (x \ 1) * ((K(y,z) * u) * T((K(y,z) * u) \ ((x \ 1) \ u),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(5260(a,1),12259(a,1,2,2,1,1))]. 12261 (x \ 1) * (K(y,z) * (u * T(u \ (K(y,z) \ ((x \ 1) \ u)),z))) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,y)))) * (K(z,y) \ u). [para(857(a,1),12260(a,1,2))]. 12262 (x \ 1) * (y * T(y \ ((x \ 1) \ y),z)) = ((x \ 1) * (K(x,z) * ((x \ 1) \ K(z,u)))) * (K(z,u) \ y). [para(9470(a,1),12261(a,1,2))]. 12263 ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u) = K((x \ 1) \ 1,y) * u. [hyper(236,a,5163,a(flip),b,12262,a(flip))]. 12265 ((x \ 1) * (K(x,y) * ((x \ 1) \ K(y,z)))) * (K(y,z) \ u) = K(x,y) * u. [para(3247(a,1),12263(a,2,1))]. 12266 (K(x,y) * K(y,z)) * (K(y,z) \ u) = K(x,y) * u. [para(6119(a,1),12265(a,1,1))]. 12267 (K(x,y) * K(y,z)) * u = K(x,y) * (K(y,z) * u). [para(13(a,1),12266(a,1,2))]. 12268 R(K(x,y),K(y,z),u) = K(x,y). [hyper(4699,a,12267,a)]. 12269 L(x,K(y,z),K(u,y)) = x. [hyper(436,a,12267,a)]. 12270 (K(x,y) * K(y,z)) * u = K(y,z) * (K(x,y) * u). [hyper(236,a,10510,a,b,12267,a)]. 12271 (K(x,y) * z) / (K(x,u) * z) = K(u,x) * K(x,y). [hyper(74,a,10503,a(flip),b,12267,a)]. 12272 (K(x,y) * (K(y,z) * u)) / (K(x,y) * K(y,z)) = u * K(K(x,y) * K(y,z),u). [hyper(74,a,12267,a(flip),b,4900,a)]. 12275 K(x * y,x) * (K(x,y) * z) = a(x,y,x) * z. [para(9039(a,1),12267(a,1,1)),flip(a)]. 12276 (K(x,y) * K(y,z)) \ u = K(z,y) * (K(y,x) * u). [hyper(236,a,5953,a(flip),b,12269,a(flip)),flip(a)]. 12277 (K(x,y) * K(y,z)) * u != w | K(x,y) * (K(y,z) * u) = w. [para(12269(a,1),219(a,1,2))]. 12278 R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(T(x,K(z,u)),K(y,z)). [para(12269(a,1),11787(a,2,1))]. 12279 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(12268(a,1),2662(a,1,1)),flip(a)]. 12280 a(x,y,x) * (K(x,x * y) * z) = K(x,y) * z. [hyper(10504,a,12275,a),flip(a)]. 12281 a(x,y,x) * (K(y,x) * z) = K(x * y,x) * z. [para(5268(a,1),12275(a,1,2)),flip(a)]. 12282 a(x,x \ y,x) * (K(x,y) * z) = K(x,x \ y) * z. [para(14(a,1),12280(a,1,2,1,2))]. 12283 K(x,y) * (K(y,y * x) * z) = a(y,x,y) \ z. [hyper(72,a,5268,a(flip),b,12281,a),flip(a)]. 12284 K(x,y) * (a(x,y,x) \ z) = K(x,x * y) * z. [hyper(5285,a,12283,a)]. 12287 a(x,y,x) \ (z * x) = z * L(x,y,x). [hyper(17,a,12040,a,b,12284,a)]. 12288 a(x,y,x) \ (z * a(x,y,x)) = z. [hyper(17,a,12039,a(flip),b,12284,a)]. 12289 (a(x,y,x) \ z) * a(x,y,x) = z. [hyper(17,a,12039,a,b,12284,a(flip)),flip(a)]. 12291 T(x,a(y,z,y)) = x. [hyper(284,a,12288,a)]. 12292 a(x,y,x) * z = z * a(x,y,x). [para(12288(a,1),14(a,1,2))]. 12293 x / a(y,z,y) = a(y,z,y) \ x. [para(16(a,1),12288(a,1,2)),flip(a)]. 12294 a(x,y,x) \ (L(x,y,x) \ z) = x \ z. [para(12028(a,1),12288(a,1,2))]. 12295 T(x,a(y,z,y)) = 1 * x. [hyper(319,a,12291,a),flip(a)]. 12296 K(x,a(y,z,y)) = 1. [hyper(36,a,12291,a)]. 12297 T(a(x,y,x),z) = a(x,y,x). [hyper(35,a,12291,a)]. 12298 a(x,y,x) * z != z * u | a(x,y,x) = u. [para(12291(a,1),170(a,1,2)),flip(b)]. 12299 x / a(y,z,y) != u | a(y,z,y) \ x = u. [para(12291(a,1),280(a,1))]. 12300 x * K(y,a(z,u,z)) = x. [para(12296(a,2),12(a,1,2))]. 12301 T(x,a(y,z,y)) != u | u = x. [para(12295(a,2),75(a,1))]. 12302 R(a(x,y,x),z,u) * w = w * R(a(x,y,x),z,u). [para(12300(a,1),4938(a,1,1,1))]. 12303 (x * (y * a(z,u,z))) / (x * y) = L(a(z,u,z),y,x). [para(12300(a,1),5041(a,1,1)),flip(a)]. 12304 T(a(x,y,x),z) = x \ R(x,y,x). [hyper(236,a,9038,a,b,12297,a)]. 12305 x * a(y,z,y) != u | a(y,z,y) * x = u. [para(12297(a,1),220(a,1,2))]. 12309 x * (a(x,y,x) \ z) = L(x,y,x) * z. [para(12289(a,1),12026(a,1,2)),flip(a)]. 12310 a(x,y,x) * (x \ z) = L(x,y,x) \ z. [hyper(236,a,12028,a(flip),b,12292,a)]. 12311 a(x,y,x) * (z * x) = z * R(x,y,x). [hyper(236,a,11408,a(flip),b,12292,a)]. 12312 a(x,y,x) * (z / x) = z / L(x,y,x). [hyper(236,a,9113,a(flip),b,12292,a)]. 12313 (x * R(y,z,y)) / (x * y) = a(y,z,y). [hyper(74,a,11408,a(flip),b,12292,a)]. 12314 (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(72,a,12292,a,b,614,a)]. 12317 (x * y) \ ((x * a(z,u,z)) * y) = R(T(a(z,u,z),x * y),x,y). [para(12292(a,1),615(a,1,2,1))]. 12318 (x * a(y,z,y)) \ (a(y,z,y) * (u * x)) != w | L(T(u,x),x,a(y,z,y)) = w. [para(12292(a,1),718(a,1,1))]. 12320 x * (a(x,y,x) * z) = R(x,y,x) * z. [para(12292(a,2),11413(a,1,2))]. 12323 L(x,y,x) * (x \ z) = a(x,y,x) \ z. [hyper(236,a,12031,a,b,12293,a(flip)),flip(a)]. 12324 x * (y \ L(y,z,y)) = a(y,z,y) \ x. [hyper(236,a,11426,a,b,12293,a(flip)),flip(a)]. 12325 (x / R(y,z,y)) * y = a(y,z,y) \ x. [hyper(236,a,11416,a,b,12293,a(flip)),flip(a)]. 12327 (x / y) \ (a(y,z,y) \ x) = L(y,z,y). [para(12293(a,1),12037(a,1,2))]. 12328 T(a(x / y,z,x / y),u) = (x / y) \ R(x / y,z,y \ x). [para(8294(a,1),12304(a,2,2))]. 12330 a(x,x \ y,x) \ y = (x \ y) * T(x,y). [hyper(17,a,719,a,b,12309,a)]. 12331 (x * R(x \ y,z,x \ y)) / y = a(x \ y,z,x \ y). [hyper(74,a,12311,a(flip),b,88,a(flip))]. 12333 (x \ R(x,y,z)) * R(x,u,x) = a(x,u,x) * R(x,y,z). [para(3690(a,1),12311(a,1,2)),flip(a)]. 12334 R(a(x,y,x),x,z) = a(x,y,x). [hyper(236,a,10770,a(flip),b,12313,a(flip)),flip(a)]. 12335 a(x,y,x) * (z * x) != u | z * R(x,y,x) = u. [para(12313(a,1),221(a,1,1)),flip(b)]. 12336 ((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(103(a,1),12313(a,1,2))]. 12338 ((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(236,a,469,a,b,12334,a(flip)),flip(a)]. 12339 a(x,y,x) \ (x \ z) = R(x,y,x) \ z. [hyper(546,a,12320,a),flip(a)]. 12340 x \ (R(x,y,x) * z) = a(x,y,x) * z. [hyper(80,a,12320,a)]. 12341 a(x,y,x) * (R(x,y,x) \ z) = x \ z. [hyper(72,a,14,a(flip),b,12320,a),flip(a)]. 12342 a(x,y,x) * (x * z) = R(x,y,x) * z. [hyper(17,a,1497,a(flip),b,12320,a)]. 12348 x * (R(x,y,x) \ z) = a(x,y,x) \ z. [hyper(236,a,8358,a(flip),b,12325,a(flip)),flip(a)]. 12349 T(x * L(x \ (T(x,y) * y),z,u),x) = x * L(a(x,y,x) * y,z,u). [para(12340(a,1),8740(a,2,2,1))]. 12350 ((R(x,y,x) * z) * u) / ((x * z) * u) != w | R(a(x,y,x),x * z,u) = w. [para(12342(a,1),475(a,1,1,1))]. 12352 x * (y \ L(y,z,y)) != u | a(y,z,y) \ x = u. [para(11426(a,2),12299(a,1))]. 12355 (K(x,y) * K(z,x)) * u = K(x,y) * (K(z,x) * u). [para(2192(a,2),12270(a,1,1))]. 12356 x / (K(y \ x,z) * (y * (x / y))) = K(z,y \ x) * K(y \ x,y). [para(5298(a,1),12271(a,1,1))]. 12357 (K(x,y) * K(y,z)) \ u = K(y,x) * (K(z,y) * u). [hyper(236,a,10510,a,b,12276,a)]. 12358 (K(x,y) * K(z,x)) \ u = K(y,x) * (K(x,z) * u). [para(2192(a,2),12276(a,1,1))]. 12359 T(x,R(a(y,z,y),u,w)) = x. [hyper(172,a,12302,a)]. 12360 L(x,K(y,z),K(z,u)) = x. [hyper(436,a,12355,a)]. 12361 x \ (K(y,z) * (K(u,y) * x)) = T(K(y,z) * K(u,y),x). [hyper(394,a,xx,b,12355,a),flip(a)]. 12363 (K(x,y) * z) / (K(y,u) * (K(x,y) * z)) = R(K(u,y),K(x,y),z). [para(12355(a,1),6803(a,1,2))]. 12365 (K(x,y) * K(z,x)) \ u = K(x,z) * (K(y,x) * u). [hyper(236,a,5953,a(flip),b,12360,a(flip)),flip(a)]. 12366 L(x,L(K(y,z),u,w),K(z,v5)) = x. [para(5909(a,1),12360(a,1,2))]. 12367 L(x,K(y,T(z,u)),K(z,w)) = x. [para(7260(a,1),12360(a,1,2))]. 12368 K(x,y) * T(z,K(y,u) * K(x,y)) = T(z * K(x,y),K(y,u)). [para(12360(a,1),9087(a,1,1,1)),flip(a)]. 12369 (K(x,y) * K(z,T(x,u))) * w = K(x,y) * (K(z,T(x,u)) * w). [para(12367(a,1),103(a,1,2))]. 12370 (K(x,y) * L(K(z,x),u,w)) * v5 = K(x,y) * (L(K(z,x),u,w) * v5). [para(12366(a,1),103(a,1,2))]. 12373 (K(x,y) * K(y,z)) \ u = (K(y,x) * K(z,y)) * u. [hyper(236,a,12355,a,b,12357,a)]. 12374 (K(x,y) * K(z,x)) \ u != w | K(y,x) * (K(x,z) * u) = w. [para(12365(a,2),10518(a,1))]. 12375 L((K(x,y) * K(z,x)) \ 1,K(x,y) * K(z,x),u) \ K(K(x,y) * K(z,x),u) = (((K(y,x) * K(x,z)) \ u) \ u) \ 1. [para(12373(a,2),11825(a,2,1,1))]. 12378 a(x,x \ y,x) * T(z,K(x,y)) = K(x,x \ y) * (z * K(y,x)). [para(7984(a,1),12282(a,1,2))]. 12379 (x * (y * R(z,u,z))) / (x * (y * z)) = L(a(z,u,z),y * z,x). [para(11408(a,1),12303(a,1,1,2))]. 12381 T(K(x,y),z) * T(K(y,u),z) = T(K(y,u) * K(x,y),z). [hyper(236,a,10052,a(flip),b,12361,a(flip)),flip(a)]. 12382 T(K(x,y) * K(z,x),K(x,z) * u) = (K(x,z) * u) \ (K(x,y) * u). [para(5268(a,1),12361(a,1,2,2)),flip(a)]. 12383 T(K(x,y) * K(y * R(x,z,u),x),w) = a(x,y,R(x,z,u)). [hyper(236,a,10436,a(flip),b,12381,a(flip))]. 12384 K(x,K(y,z)) * u != w | K(y,x) * (K(x,T(y,z)) * u) = w. [para(8022(a,1),12277(a,1,1))]. 12391 T(a(1 / (x / y),z,1 / (x / y)),u) = (1 / (x / y)) \ R(1 / (x / y),z,y / x). [para(12254(a,1),12328(a,2,2))]. 12392 K(x,y) * T(z,K(x,y) * K(y,u)) = T(z * K(x,y),K(y,u)). [para(2192(a,1),12368(a,1,2,2))]. 12393 T((K(x,y) \ z) * K(x,y),K(y,u)) \ z = K(K(x,y) * K(y,u),K(x,y) \ z). [para(12392(a,1),7588(a,1,1))]. 12394 (x * y) \ ((x * a(z,u,z)) * y) = R(a(z,u,z),x,y). [para(12297(a,1),12317(a,2,1))]. 12395 (x * y) \ ((T(z * x,z) / z) * y) = R(a(z,x,z),x,y). [para(9047(a,2),12394(a,1,2,1))]. 12397 L(a(x,T(y,z),x),T(y,z),z) = R(a(x,y,x),y,z). [hyper(236,a,10090,a,b,12395,a(flip)),flip(a)]. 12398 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(4853(a,1),12397(a,1,1,2)),flip(a)]. 12400 R(K(x,y),K(z,y),u) = K(x,y). [hyper(5272,a,12363,a),flip(a)]. 12402 (K(x,y) * K(z,y)) * u = K(z,y) * (K(x,y) * u). [para(12400(a,1),11298(a,1,2,1)),flip(a)]. 12403 ((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(12402(a,1),6058(a,1,2,2))]. 12405 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(156(a,2),12356(a,1,2,2,2))]. 12406 (K(x,y) * L(K(x,z) \ 1,u,w)) * v5 = K(x,y) * (L(K(z,x),u,w) * v5). [para(5093(a,2),12370(a,1,1,2,1))]. 12407 R(T(x,K(y,z) * K(z,u)),K(y,z),K(z,u)) = T(T(x,K(z,u)),K(z,y)). [hyper(236,a,7981,a,b,12278,a)]. 12409 T(x * L(x \ (T(x,y) * y),z,u),x) = x * L(y * a(x,y,x),z,u). [para(12292(a,1),12349(a,2,2,1))]. 12410 T(T(x,K(y,z)),K(y,u)) = T(x,K(u,y) * K(y,z)). [hyper(236,a,9018,a(flip),b,12407,a(flip))]. 12412 T(T(x,K(y,z)),K(z,u)) = T(x,K(y,z) * K(z,u)). [hyper(236,a,7985,a,b,12410,a(flip)),flip(a)]. 12413 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,z) * K(u,y)). [para(2192(a,2),12410(a,2,2))]. 12414 T(x,K(y,z) * K(z,u)) \ x = K(x,K(z,y)) * K(x,K(z,u)). [para(12410(a,1),9922(a,1,1))]. 12415 T(T(x,K(y,z)),K(z,u)) = T(x,K(z,u) * K(y,z)). [para(2192(a,2),12412(a,2,2))]. 12416 T(T(x,K(y,z)),K(y,u)) = T(x,K(y,u) * K(z,y)). [hyper(417,a,12413,a)]. 12417 T(T(x,K(y,z)),K(u,R(y,w,v5))) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(236,a,9592,a,b,12413,a(flip)),flip(a)]. 12418 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(9457(a,1),12415(a,1,1,2)),flip(a)]. 12419 T(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(236,a,12413,a(flip),b,12416,a(flip))]. 12420 T(x * K(K(y,z) * K(u,y),x),K(y,u) * K(z,y)) = x. [hyper(5029,a,12419,a)]. 12421 x * K(x,K(y,z) * K(u,y)) = T(x,K(y,u) * K(z,y)). [hyper(4981,a,12419,a)]. 12422 (x * (K(y,z) * K(u,y))) / T(((K(y,z) * K(u,y)) \ x) * (K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(12419(a,1),4424(a,1,2))]. 12424 T(x,K(y,z) * K(u,y)) != w | T(x,K(y,u) * K(z,y)) = w. [para(12420(a,1),5036(a,1,1))]. 12425 T(T(x,K(y,z)),K(y,u)) != w | T(x,K(y,u) * K(z,y)) = w. [para(12413(a,2),12424(a,1))]. 12427 K(x,K(y,z)) * K(x,K(y,u)) = K(K(z,y) * K(y,u),x). [hyper(4920,a,12414,a),flip(a)]. 12429 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(6813(a,1),12427(a,1,2,2)),flip(a)]. 12430 T(x,K(y,z) * K(R(z,u,w),y)) = T(x,K(y,z) * K(z,R(y,u,w))). [hyper(236,a,12412,a(flip),b,12417,a(flip))]. 12431 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,K(y,z) * K(z,R(y,u,w))). [hyper(12424,a,12430,a)]. 12432 x * K(x,K(y,z) * K(z,R(y,u,w))) = T(x,K(y,R(z,u,w)) * K(z,y)). [hyper(236,a,4887,a(flip),b,12431,a),flip(a)]. 12433 T(x * L(y * K(x,y),z,u),x) = x * L(y * a(x,y,x),z,u). [para(5215(a,1),12409(a,1,1,2,1))]. 12435 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(9591(a,1),12418(a,2,1))]. 12436 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,4887,a(flip),b,12432,a),flip(a)]. 12437 T(x,K(y,z) * K(R(u,w / u,v5),y)) = T(x,K(y,z) * K(R(u,w,v5),y)). [hyper(236,a,12416,a(flip),b,12435,a)]. 12438 T(x,K(y,z) * R(K(u,y),w,v5)) = T(x,K(y,z) * K(R(u,w,v5),y)). [para(9457(a,1),12437(a,1,2,2))]. 12439 T(x,K(y,R(z,u,w)) * K(v5,y)) = T(x,K(y,v5) * R(K(z,y),u,w)). [hyper(236,a,12419,a,b,12438,a),flip(a)]. 12440 (K(x,y) * (K(y,z) * u)) * (K(y,x) * K(z,y)) = u * K(K(x,y) * K(y,z),u). [hyper(236,a,9093,a(flip),b,12272,a(flip)),flip(a)]. 12441 K(K(x,y) * K(y,z),K(x,y) \ u) = T(T(u,K(x,y)),K(y,z)) \ u. [para(7252(a,1),12393(a,1,1,1)),flip(a)]. 12442 K(K(x,y) * K(y,z),K(x,y) \ u) = T(u,K(y,z) * K(x,y)) \ u. [para(12415(a,1),12441(a,2,1))]. 12443 K(K(x,y) * K(y,z),K(x,y) \ u) = K(K(y,z) * K(x,y),u). [hyper(236,a,4821,a,b,12442,a)]. 12444 K(K(x,y) * K(y,z),K(y,x) * u) = K(K(y,z) * K(x,y),u). [para(5260(a,1),12443(a,1,2))]. 12445 R(a(x,y * K(z,y),x),y * K(z,y),z) = L(a(x,y,x),y,z). [para(4853(a,1),12398(a,2,2))]. 12446 T((K(x,y) * z) * K(y,x),K(x,u)) = z * K(K(u,x) * K(x,y),z). [hyper(236,a,11283,a(flip),b,12440,a(flip)),flip(a)]. 12447 x * K(K(y,z) * K(z,u),x) = T(T(x,K(z,u)),K(z,y)). [para(7986(a,1),12446(a,1,1)),flip(a)]. 12448 x * K(K(y,z) * K(z,u),x) = T(x,K(z,u) * K(y,z)). [hyper(236,a,12413,a(flip),b,12447,a)]. 12449 K(K(x,y) * K(y,z),u) = K(u,K(y,x) * K(z,y)). [hyper(17,a,12421,a,b,12448,a)]. 12450 x * K(K(y,z) * K(u,y),x) = T(x,K(y,z) * K(u,y)). [para(2192(a,2),12448(a,1,2,1))]. 12451 K(x,K(y,z)) * K(x,K(y,u)) = K(x,K(y,z) * K(u,y)). [hyper(236,a,12427,a,b,12449,a(flip)),flip(a)]. 12452 K(K(x,y) * K(z,x),u) = K(u,K(x,z) * K(y,x)). [para(2192(a,2),12449(a,1,1))]. 12453 K(K(x,y) * K(z,x),u) = K(u,K(x,y) * K(z,x)). [hyper(17,a,4887,a(flip),b,12450,a)]. 12454 T(T(x,K(y,z) * K(u,y)),K(y,u) * K(z,y)) = x. [para(12450(a,1),12420(a,1,1))]. 12455 K(K(x,y) * K(y,z),K(y,x) * u) = K(u,K(y,z) * K(x,y)). [hyper(236,a,12444,a,b,12453,a(flip)),flip(a)]. 12456 K(K(x,y) * K(z,x),u) = K(u,K(z,x) * K(x,y)). [para(2192(a,1),12453(a,2,2))]. 12457 (K(x,y) * K(z,x)) * K(u,K(x,y) * K(z,x)) = T(K(x,y) * K(z,x),u). [para(12453(a,1),4887(a,2,2)),flip(a)]. 12458 K(x,K(y,z) * K(u,y)) = K(x,K(z,y) * K(y,u)). [hyper(236,a,12452,a(flip),b,12456,a(flip)),flip(a)]. 12459 K(x,K(y,z)) * K(x,K(y,u)) = K(K(y,z) * K(u,y),x). [hyper(236,a,12453,a,b,12451,a)]. 12460 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = a(K(w,K(v5,v6)),v7,v7 \ w). [hyper(236,a,12199,a,b,12451,a(flip))]. 12461 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(236,a,10522,a,b,12451,a(flip)),flip(a)]. 12462 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = (((K(x,y) * K(z,x)) \ u) \ u) \ 1. [para(12451(a,2),5012(a,2,2)),flip(a)]. 12463 K(x,K(y,z)) * K(x * K(y,u),K(y,w)) = K(x * K(y,u),K(y,z) * K(w,y)). [para(8213(a,1),12451(a,1,1))]. 12464 K(x,K(y,R(z,u,u \ x)) * K(z,y)) = 1. [hyper(236,a,12181,a(flip),b,12460,a)]. 12465 K(x,K(y,z) * K(z,R(y,u,u \ x))) = 1. [hyper(236,a,12436,a(flip),b,12464,a(flip)),flip(a)]. 12466 K(x * y,K(z,u) * K(u,R(z,x,y))) = 1. [para(13(a,1),12465(a,1,2,2,2,3))]. 12467 (x * (K(y,z) * K(u,y))) / x = T(K(y,z) * K(u,y),x). [hyper(5058,a,12457,a)]. 12468 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = T(K(z,u) * K(y,z),K(u,z) * x). [para(11283(a,1),12467(a,1,1))]. 12469 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(7919(a,1),12461(a,1,2,2,2))]. 12470 K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u)) * K(x,K(y,w)). [para(8213(a,1),12463(a,1,2)),flip(a)]. 12471 K(x * K(y,z),K(y,u) * K(w,y)) = K(x,K(y,u) * K(w,y)). [hyper(236,a,12451,a(flip),b,12470,a)]. 12472 K(x,K(y,z)) * K(x,K(y,u)) != w | K(x,K(y,z) * K(u,y)) = w. [para(12470(a,1),5423(a,1))]. 12474 K(K(x,y) * z,K(y,u) * K(w,y)) = K(z,K(y,u) * K(w,y)). [para(7551(a,1),12471(a,1,1)),flip(a)]. 12475 K(K(x,y) * z,K(u,y) * K(y,w)) = K(z,K(y,u) * K(w,y)). [hyper(236,a,12458,a(flip),b,12474,a(flip)),flip(a)]. 12477 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = (K(y,z) * K(z,u)) * K(x,K(z,y) * K(u,z)). [para(12475(a,1),11342(a,2,2))]. 12478 K(K(x,y) * K(y,z),u) != w | K(u,K(y,x) * K(z,y)) = w. [para(12427(a,1),12472(a,1))]. 12480 K(x,K(y,z)) * K(x,K(z,u)) = K(z,K(x,y) * K(u,x)). [hyper(5535,a,12469,a)]. 12481 K(x,K(y,z)) * K(y,K(z,u)) = K(z,K(y,x) * K(u,y)). [para(7919(a,1),12480(a,1,1))]. 12482 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(12314(a,1),12318(a,1))]. 12483 (x * (y * R(z,u,L(z,y,x)))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). [para(443(a,1),12336(a,1,1))]. 12484 (x * (y * R(z,u,z))) / (x * (y * z)) = a(L(z,y,x),u,L(z,y,x)). [para(11363(a,1),12483(a,1,1,2))]. 12485 L(a(x,y,x),z * x,u) = a(L(x,z,u),y,L(x,z,u)). [hyper(236,a,12379,a(flip),b,12484,a(flip)),flip(a)]. 12488 a(L(x,y / x,z),u,L(x,y / x,z)) = L(a(x,u,x),y,z). [para(16(a,1),12485(a,1,2)),flip(a)]. 12496 T(a(1 / (x / y),z,1 / (x / y)),u) = (x / y) * R((x / y) \ 1,z,y / x). [hyper(236,a,1082,a(flip),b,12391,a)]. 12497 T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,y / x)) / y. [hyper(236,a,1519,a(flip),b,12496,a)]. 12498 T(a(1 / (x / y),z,1 / (x / y)),u) = (x * R(x \ y,z,x \ y)) / y. [para(9836(a,1),12497(a,2,1,2))]. 12499 T(a(1 / (x / y),z,1 / (x / y)),u) = a(x \ y,z,x \ y). [hyper(236,a,12331,a(flip),b,12498,a)]. 12500 T(a(1 / (x / y),z,(x / y) \ 1),u) = a(x \ y,z,x \ y). [para(11930(a,1),12499(a,1,1))]. 12501 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(9418(a,1),12429(a,2,2))]. 12502 K(K(x,y) * K(y,(z * u) / ((w \ z) * u)),v5) = K(K(x,y) * K(y,R(w,z,u)),v5). [hyper(236,a,12427,a(flip),b,12501,a)]. 12503 K(K(x,y) * R(K(y,z),u,w),v5) = K(K(x,y) * K(y,R(z,u,w)),v5). [para(6813(a,1),12502(a,1,1,2))]. 12504 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = K(y,z) * (K(z,u) * K(x,K(z,y) * K(u,z))). [hyper(236,a,12267,a(flip),b,12477,a)]. 12506 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = ((u * y) / u) \ (y * (K(u,y) * x)). [para(5207(a,1),12403(a,1,2)),flip(a)]. 12507 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = K(y,u) * (K(u,y) * x). [hyper(236,a,5193,a(flip),b,12506,a)]. 12509 L(x,T(y,z) \ ((u * y) / u),T(y,z)) = x. [hyper(236,a,5268,a(flip),b,12507,a)]. 12511 L(x,K(y,z) * K(u,z),T(z,u)) = x. [para(6057(a,1),12509(a,1,2))]. 12512 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(12268(a,1),12279(a,2,2,1,1))]. 12513 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(5093(a,1),12512(a,2,2,1))]. 12515 R(K(x,y) * R(K(y,x),z,u),K(y,w),v5) = K(x,y) * R(K(y,x),z,u). [para(5093(a,1),12513(a,1,1,2,1))]. 12516 ((K(x,y) * z) * u) / (K(x,y) * (z * u)) = K(y,x) * R(K(x,y),z,u). [hyper(236,a,5281,a(flip),b,12515,a(flip)),flip(a)]. 12517 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(12515(a,1),466(a,1,1,1)),flip(a)]. 12518 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(12515(a,2),6913(a,1,1))]. 12519 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(12515(a,1),12237(a,1,1))]. 12521 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(7886(a,1),12518(a,1,1,1,2,1))]. 12522 (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(9046(a,1),12338(a,1,1,1))]. 12523 ((R(x,y,R(x,z,u)) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(472(a,1),12522(a,1,1))]. 12524 ((R(x,y,x) * z) * u) / ((x * z) * u) = a(R(x,z,u),y,R(x,z,u)). [para(11377(a,1),12523(a,1,1))]. 12525 a(R(x,y,z),u,R(x,y,z)) != w | R(a(x,u,x),x * y,z) = w. [para(12524(a,1),12350(a,1))]. 12526 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(7845,a,12519,a)]. 12528 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(236,a,12503,a(flip),b,12526,a(flip)),flip(a)]. 12529 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(236,a,12455,a(flip),b,12528,a(flip))]. 12530 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(236,a,12436,a(flip),b,12529,a)]. 12531 K(a(K(x,y),z,u),((z * u) \ K(y,x)) \ 1) = 1. [hyper(236,a,12466,a(flip),b,12530,a)]. 12532 K(a(K(x,y),z,u),K(x,y) * (z * u)) = 1. [hyper(7845,a,12531,a)]. 12534 1 * (((K(x,y) * z) * u) / (K(x,y) * (z * u))) = a(K(x,y),z,u). [para(12532(a,1),5023(a,1,1))]. 12535 1 * (K(x,y) * R(K(y,x),z,u)) = a(K(y,x),z,u). [para(12516(a,1),12534(a,1,2))]. 12536 K(x,y) * R(K(y,x),z,u) = a(K(y,x),z,u). [hyper(76,a,12535,a)]. 12537 1 * (K(x,K(y,z)) * R(K(x,K(y,z)),u,w)) = a(K(x,K(y,z)),u,w). [para(7936(a,1),12535(a,1,2,1))]. 12538 K(x,y) * a(K(x,y),z,u) = R(K(x,y),z,u). [hyper(5285,a,12536,a)]. 12539 R(K(x,y),z,u) * K(y,x) = a(K(x,y),z,u). [hyper(2200,a,12536,a)]. 12540 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(y,x \ 1),z,u). [para(6791(a,1),12536(a,1,2))]. 12541 K(x,y) * (R(K(y,x),z,u) * w) = a(K(y,x),z,u) * w. [para(12536(a,1),6913(a,1,1)),flip(a)]. 12543 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z * x,u). [para(9515(a,1),12536(a,1,2))]. 12544 (x * a(K(y,z),u,w)) * (K(y,z) * R(K(z,y),u,w)) = x. [para(12536(a,1),12135(a,1,1,2))]. 12545 T(x,K(y,R(z,u,w)) * K(z,y)) = T(x,a(K(z,y),u,w)). [para(12536(a,1),12439(a,2,2))]. 12546 K(K(x,y) * K(y,R(x,z,u)),w) = K(a(K(y,x),z,u),w). [para(12536(a,1),12503(a,1,1)),flip(a)]. 12547 K(x,y) * R(K(y,x),z,u) != w | a(K(y,x),z,u) = w. [para(12538(a,1),5271(a,1,2)),flip(b)]. 12548 (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(12538(a,1),10801(a,1,1)),flip(a)]. 12549 R(K(x,T(y,z)),u,w) * (z * K(y,x)) = z * a(K(x,y),u,w). [para(12539(a,1),9998(a,2,2))]. 12550 K(x,y) * K(y,R(x,z,u)) != w | a(K(y,x),z * x,u) = w. [para(9515(a,1),12547(a,1,2))]. 12551 K(x,y) * (a(K(x,y),z,u) * w) = R(K(x,y),z,u) * w. [hyper(5285,a,12541,a)]. 12552 (x * a(K(y,z),u,w)) * a(K(z,y),u,w) = x. [para(12536(a,1),12544(a,1,2))]. 12554 (T(x,x \ y) * a(K(z,u),w,v5)) \ ((x \ y) \ y) = a(K(u,z),w,v5). [hyper(72,a,120,a(flip),b,12552,a)]. 12555 K(x,K(y,z) * K(R(z,u,w),y)) = K(a(K(y,z),u,w),x). [hyper(12478,a,12546,a)]. 12558 K(a(K(x,y),z,u),w) != v5 | K(w,K(x,y) * K(R(y,z,u),x)) = v5. [para(12546(a,1),12478(a,1))]. 12559 K(x,x * y) * (a(K(x,y),z,u) * x) = R(K(x,y),z,u) * L(x,y,x). [hyper(236,a,12040,a(flip),b,12551,a(flip)),flip(a)]. 12560 1 * (K(x,K(y,z)) * K(y,K(z,R(x,u,w)))) = a(K(x,K(y,z)),u,w). [para(9417(a,1),12537(a,1,2,2))]. 12561 1 * K(x,K(y,z) * K(R(z,u,w),y)) = a(K(z,K(y,x)),u,w). [para(12481(a,1),12560(a,1,2))]. 12562 K(x,x * y) * (x * a(K(x,y),z,u)) = R(K(x,y),z,u) * L(x,y,x). [para(9177(a,1),12559(a,1,2))]. 12563 T(x,x * y) * a(K(x,y),z,u) = R(K(x,y),z,u) * L(x,y,x). [hyper(5216,a,12562,a)]. 12564 T(x,x * y) * a(K(x,y),z,u) = L(x * R(K(x,y),z,u),y,x). [hyper(236,a,9996,a,b,12563,a)]. 12565 (a(K(x,T(y,z)),u,w) * K(x,y)) * (K(y,x) * z) = z * a(K(x,y),u,w). [hyper(236,a,12549,a(flip),b,12548,a)]. 12566 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(9416(a,1),12521(a,1,1,1,2))]. 12567 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(12481(a,1),12566(a,1,1,1))]. 12568 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(12555(a,1),12567(a,1,1,1))]. 12569 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * v5) = K(a(K(y,x),u,w),z) * v5. [para(342(a,1),12568(a,1,1)),flip(a)]. 12570 K(x,K(y,z)) * (R(K(K(y,z),x),u,w) * y) = y * K(a(K(y,x),u,w),z). [hyper(236,a,9179,a(flip),b,12569,a)]. 12571 K(x,K(y,z)) * (R(K(y,K(z,x)),u,w) * y) = y * K(a(K(y,x),u,w),z). [para(7886(a,1),12570(a,1,2,1,1))]. 12572 K(x,K(y,z)) * (K(y,K(z,R(x,u,w))) * y) = y * K(a(K(y,x),u,w),z). [para(9416(a,1),12571(a,1,2,1))]. 12573 K(x,K(y,z)) * T(y,K(z,R(x,u,w))) = y * K(a(K(y,x),u,w),z). [para(4897(a,2),12572(a,1,2))]. 12574 T(K(x,K(y,z)) * y,K(x,R(z,u,w))) = y * K(a(K(y,x),u,w),z). [hyper(236,a,9594,a,b,12573,a(flip)),flip(a)]. 12575 T(T(x,K(y,z)),K(y,R(z,u,w))) = x * K(a(K(x,y),u,w),z). [para(7925(a,1),12574(a,1,1))]. 12576 T(x,K(y,R(z,u,w)) * K(z,y)) = x * K(a(K(x,y),u,w),z). [hyper(12425,a,12575,a)]. 12577 x * K(a(K(x,y),z,u),w) = T(x,a(K(w,y),z,u)). [hyper(236,a,12545,a(flip),b,12576,a(flip))]. 12578 K(a(K(x,y),z,u),w) = K(x,a(K(w,y),z,u)). [hyper(17,a,4887,a(flip),b,12577,a)]. 12579 K(x,K(y,z) * K(R(z,u,w),y)) = K(y,a(K(x,z),u,w)). [hyper(12558,a,12578,a)]. 12580 1 * K(x,a(K(y,z),u,w)) = a(K(z,K(x,y)),u,w). [para(12579(a,1),12561(a,1,2))]. 12581 a(K(x,K(y,z)),u,w) = K(y,a(K(z,x),u,w)). [hyper(76,a,12580,a),flip(a)]. 12582 a(K(x,K(y,z)),u,w) = K(a(K(y,x),u,w),z). [hyper(236,a,12578,a,b,12581,a)]. 12583 a(K(x,K(y,z)),u,w) = K(x,a(K(z,y),u,w)). [para(7919(a,1),12581(a,1,1))]. 12584 a(K(x,K(y,z)),u,w) = K(a(K(x,y),u,w),z). [para(7919(a,1),12582(a,1,1))]. 12585 (((K(x,y) * K(y,z)) \ u) \ u) \ 1 = (K(x,y) * K(y,z)) \ K(K(y,x) * K(z,y),u). [para(9092(a,1),12375(a,1,1)),flip(a)]. 12586 (((K(x,y) * K(y,z)) \ u) \ u) \ 1 = (K(y,x) * K(z,y)) * K(K(y,x) * K(z,y),u). [hyper(236,a,12373,a(flip),b,12585,a)]. 12588 (((K(x,y) * K(y,z)) \ u) \ u) \ 1 = T(K(y,x) * K(z,y),u). [hyper(236,a,4887,a,b,12586,a)]. 12589 ((K(x,y) * (K(y,z) * u)) \ u) \ 1 = T(K(y,z) * K(x,y),u). [para(12276(a,1),12588(a,1,1,1))]. 12590 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(5146(a,1),5409(a,1,1))]. 12591 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(5146(a,1),12590(a,1,2,1,1)),flip(a)]. 12592 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(5093(a,1),12591(a,2,2,1))]. 12593 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(6791(a,1),12592(a,2,2))]. 12594 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(4830(a,1),12593(a,1,1,1)),flip(a)]. 12595 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(6791(a,1),12594(a,2,1,2))]. 12596 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(236,a,12540,a(flip),b,12595,a(flip))]. 12597 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(5004(a,1),10908(a,1,2)),flip(a)]. 12598 (1 / (1 / (x * L(x \ 1,y,z)))) \ (x / x) = (x / (x * L(x \ 1,y,z))) / x. [para(16(a,1),3104(a,1,2,1))]. 12599 (1 / (1 / (x * L(x \ 1,y,z)))) \ 1 = (x / (x * L(x \ 1,y,z))) / x. [para(59(a,1),12598(a,1,2))]. 12601 (x / (x * L(x \ 1,y,z))) / x = 1 / (x * L(x \ 1,y,z)). [hyper(282,a,12599,a)]. 12604 (L(1 / x,y,z) \ 1) / x = 1 / (x * L(x \ 1,y,z)). [para(2640(a,1),12601(a,1,1))]. 12605 1 / (x * L(x \ 1,y,z)) = L(1 / x,y,z) \ (1 / x). [hyper(236,a,6641,a(flip),b,12604,a(flip))]. 12606 1 / (x * L(x \ 1,y,z)) = L(x \ 1,y,z) \ (x \ 1). [hyper(236,a,4777,a(flip),b,12605,a)]. 12607 1 / ((x \ 1) * L((x \ 1) \ 1,y,z)) = L(x,y,z) \ x. [hyper(236,a,6991,a(flip),b,12606,a)]. 12608 (1 / (x * L(x \ 1,y,z))) \ (L(x \ 1,y,z) \ 1) = (x \ 1) \ 1. [para(12606(a,2),6642(a,1,1))]. 12609 1 / (x \ L(x,y,z)) = L(x,y,z) \ x. [para(1051(a,1),12607(a,1,2))]. 12610 1 / (x \ L(x,y,y \ 1)) = a(y \ 1,y,x). [hyper(236,a,3682,a(flip),b,12609,a)]. 12611 (L(x,y,z) \ x) * (x \ L(x,y,z)) = 1. [hyper(71,a,12609,a,b,1461,a),flip(a)]. 12612 (L(x,y,z) \ x) * T(x \ L(x,y,z),u) = K(x \ L(x,y,z),u). [para(12609(a,1),4879(a,2,1)),flip(a)]. 12613 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K((L(x,y,z) \ x) \ 1,L(x,y,z) \ x) * (((x \ L(x,y,z)) * u) / (1 * u)). [para(12611(a,1),12111(a,1,2,2,1)),flip(a)]. 12614 (a(x \ 1,x,y) \ 1) * z != u | (y \ L(y,x,x \ 1)) * z = u. [para(12610(a,1),582(a,1,1,1))]. 12615 (L(x,y,z) \ x) * T(x \ L(x,y,z),K(u,w)) = K(x \ L(x,y,z),K(w,u)). [hyper(236,a,7937,a,b,12612,a)]. 12616 (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(12612(a,2),7971(a,1))]. 12617 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(6504(a,1),12405(a,1,2,1))]. 12618 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / (T(K(y,x),z) * ((y \ z) * y)). [para(3813(a,1),12617(a,1,2,2)),flip(a)]. 12619 K(x,((y \ 1) * z) \ z) * K(((y \ 1) * z) \ z,(y \ 1) * z) = z / ((y \ z) * T(y,x)). [para(8251(a,1),12618(a,2,2))]. 12620 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),12619(a,2,2,1))]. 12621 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(11957(a,1),12620(a,1,1,2))]. 12622 T(K(x,y),z) * K(((y \ 1) * (y * z)) \ (y * z),(y \ 1) * (y * z)) = (y * z) / (z * T(y,x)). [para(8747(a,1),12621(a,1,1))]. 12624 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(11957(a,1),12622(a,1,2,1))]. 12625 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(5474(a,1),12624(a,1,2))]. 12626 T(K(x,y),z) * K(R(y,y \ 1,z * y),L(z,y,y \ 1)) = (y * z) / (z * T(y,x)). [para(7849(a,1),12625(a,1,2))]. 12627 (x * y) / (y * T(x,z)) = T(K(z,x),y) * K(x,y). [para(7100(a,1),12626(a,1,2)),flip(a)]. 12628 (x * y) / (y * T(x,z)) = T(K(z,x) * K(x,y),y). [hyper(236,a,7167,a,b,12627,a)]. 12630 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(8963(a,1),6133(a,1,1)),flip(a)]. 12631 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(236,a,7169,a,b,12630,a)]. 12633 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(4906(a,1),12631(a,2,1))]. 12634 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(8963(a,1),6153(a,1,1)),flip(a)]. 12635 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(236,a,7169,a,b,12634,a)]. 12637 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(4906(a,1),12635(a,2,1))]. 12638 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(236,a,10079,a(flip),b,12637,a)]. 12639 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(4259(a,2),12638(a,1,2))]. 12640 R(x,y,z) * R(T(u,u * x),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(8959(a,1),12639(a,1,2,1))]. 12641 R(x,y,z) * R(T(u,x * u),R(x,y,z),u) = T(u * R(x,y,z),u * x). [para(4255(a,2),12640(a,1,2,1))]. 12643 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = ((K(y,x) * (K(x,z) * u)) \ u) \ 1. [para(12358(a,1),12462(a,2,1,1))]. 12644 (K(x,y) * K(z,x)) \ (K((K(x,y) * K(z,x)) \ u,K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [hyper(236,a,12589,a(flip),b,12643,a)]. 12645 (K(x,y) * K(z,x)) \ (K(K(y,x) * (K(x,z) * u),K(x,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(12358(a,1),12644(a,1,2,1,1))]. 12646 (K(x,y) * K(z,x)) \ (K(x,K(u,y)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(8257(a,1),12645(a,1,2,1))]. 12647 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K((K(x,y) * K(z,x)) \ u,K(x,z))) = T(K(x,z) * K(y,x),u). [para(7937(a,1),12646(a,1,2,1))]. 12649 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K(K(y,x) * (K(x,z) * u),K(x,z))) = T(K(x,z) * K(y,x),u). [para(12358(a,1),12647(a,1,2,2,1))]. 12650 (K(x,y) * K(z,x)) \ (K(x,K(y,u)) * K(x,K(u,z))) = T(K(x,z) * K(y,x),u). [para(8257(a,1),12649(a,1,2,2))]. 12652 (K(x,y) * K(z,x)) \ K(u,K(x,y) * K(z,x)) = T(K(x,z) * K(y,x),u). [para(12480(a,1),12650(a,1,2))]. 12653 K(x,y) * (K(y,z) * K(u,K(y,x) * K(z,y))) = T(K(y,z) * K(x,y),u). [hyper(12374,a,12652,a)]. 12654 T(x * K(y,z),K(z,u)) / (K(u,z) * x) = T(K(z,u) * K(y,z),x). [hyper(236,a,12504,a,b,12653,a(flip)),flip(a)]. 12655 T(K(x,y) * K(z,x),K(y,x) * u) = T(K(x,y) * K(z,x),u). [hyper(236,a,12468,a(flip),b,12654,a(flip)),flip(a)]. 12656 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(11243(a,1),11244(a,2,2,1,1))]. 12657 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(236,a,1542,a(flip),b,12656,a)]. 12658 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(1969(a,1),12657(a,2,2))]. 12659 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(953(a,1),12658(a,2,2,1))]. 12660 T((x \ a(y,x \ 1,y)) * R((x \ a(y,x \ 1,y)) \ 1,z,u),y) = y \ T(y * (x \ R(x,z,u)),y). [para(1070(a,1),12659(a,2,2,1,2))]. 12661 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(1542(a,1),12660(a,1,1))]. 12662 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(236,a,9676,a(flip),b,9848,a)]. 12663 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(236,a,7923,a(flip),b,12662,a)]. 12664 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(2800(a,1),9796(a,1,1,1,2))]. 12665 ((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(11470(a,1),11983(a,1,2,2))]. 12666 L(x,K(y,z),R(K(u,y) * R(K(y,u),w,v5),K(y,z),x)) = x. [hyper(236,a,13,a(flip),b,12517,a)]. 12668 L(x,K(y,z),K(u,y) * R(K(y,u),w,v5)) = x. [para(12515(a,1),12666(a,1,3))]. 12670 L(x,K(y,z),a(K(y,u),w,v5)) = x. [para(12536(a,1),12668(a,1,3))]. 12671 (a(K(x,y),z,u) * K(x,w)) * v5 = a(K(x,y),z,u) * (K(x,w) * v5). [para(12670(a,1),103(a,1,2))]. 12673 a(K(x,T(y,z)),u,w) * (K(x,y) * (K(y,x) * z)) = z * a(K(x,y),u,w). [hyper(236,a,12565,a(flip),b,12671,a(flip))]. 12674 a(K(x,T(y,z)),u,w) * z = z * a(K(x,y),u,w). [para(5268(a,1),12673(a,1,2))]. 12675 x * a(K(y,T(z,x)),u,w) = a(K(y,z),u,w) * x. [para(8051(a,1),12674(a,1,1,1)),flip(a)]. 12676 a(K(x,T(y,z)),u,w) = T(a(K(x,y),u,w),z). [hyper(169,a,12675,a),flip(a)]. 12677 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(4498(a,1),12664(a,1,1,1))]. 12678 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(118(a,1),12677(a,1,1,1)),flip(a)]. 12680 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(2800(a,1),12678(a,2,1,3,2))]. 12681 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),12680(a,2,1,3))]. 12683 K(((x \ (x / (y \ x))) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(4480(a,1),12681(a,2,1))]. 12684 K(((x \ y) * (y \ x)) \ (x / (((y \ x) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(62(a,1),12683(a,1,1,1,1,2))]. 12685 K(((x \ y) * (y \ x)) \ (x * (((x \ y) \ 1) \ 1)),z) = K(R(y,y \ x,x \ y),z). [para(2800(a,1),12684(a,1,1,2))]. 12686 K(((x \ y) * (y \ x)) \ y,z) = K(R(y,y \ x,x \ y),z). [hyper(236,a,5738,a(flip),b,12685,a(flip)),flip(a)]. 12688 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),12686(a,1,1,1,1)),flip(a)]. 12689 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = K((x * ((y * x) \ y)) \ (x * y),z). [para(7044(a,1),12688(a,2,1,1))]. 12690 K(R(x * y,(x * y) \ y,y \ (x * y)),z) = L(K(T(y * x,y),z),y,x). [hyper(236,a,7335,a(flip),b,12689,a)]. 12691 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(T(y * x,y),z),y,x). [para(32(a,2),12690(a,1,1,3))]. 12692 K(R(x * y,(x * y) \ y,T(x,y)),z) = L(K(y * x,T(z,y)),y,x). [para(7260(a,1),12691(a,2,1))]. 12693 R(K(x * y,z),y,T(x,y)) = L(K(y * x,T(z,y)),y,x). [hyper(236,a,6676,a(flip),b,12692,a(flip)),flip(a)]. 12694 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(12693(a,1),8651(a,2,2))]. 12695 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(236,a,103,a(flip),b,12694,a)]. 12696 K(x,T(y,K(y * T(x,y),z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [hyper(236,a,7284,a(flip),b,12695,a)]. 12697 K(x,T(y,K(x * y,z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(119(a,1),12696(a,1,1,2,2,1))]. 12698 K(x,T(y,K(x,z))) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(9339(a,1),12697(a,1,1,2))]. 12699 K(x,y) * ((K(y * T(x,y),z) * y) * x) = x * (K(y * x,z) * y). [para(7277(a,1),12698(a,1,1))]. 12700 K(x,y) * ((K(x * y,z) * y) * x) = x * (K(y * x,z) * y). [para(119(a,1),12699(a,1,2,1,1,1))]. 12702 L(T(K(x * y,z) * y,x),x,K(x,y)) = T(x,y) \ (x * (K(y * x,z) * y)). [para(12700(a,1),4975(a,1,2)),flip(a)]. 12703 L(T(K(x * y,z) * y,x),x,K(x,y)) = K(y,x) * (K(y * x,z) * y). [hyper(236,a,5203,a(flip),b,12702,a)]. 12704 K(x,y) * (K(x * y,z) * x) = T(K(y * x,z) * x,y). [hyper(3980,a,12703,a)]. 12706 T(K(x * y,z) * y,x) = K(y * x,z) * T(y,x). [hyper(236,a,9139,a(flip),b,12704,a(flip))]. 12707 T(K(x * y,z) * y,x) \ T(y,T(x,z)) = K(z,y * x). [para(12706(a,2),9393(a,1,1))]. 12708 (x * (K(y,z) * K(u,y))) / T((K(z,y) * (K(y,u) * x)) * (K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(12358(a,1),12422(a,1,2,1,1))]. 12709 (x * (K(y,z) * K(u,y))) / T(T((K(y,u) * x) * K(u,y),K(y,z)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(11283(a,1),12708(a,1,2,1))]. 12710 (x * (K(y,z) * K(u,y))) / T(T(T(x,K(y,u)),K(y,z)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(7986(a,1),12709(a,1,2,1,1))]. 12711 (x * (K(y,z) * K(u,y))) / T(T(x,K(y,z) * K(u,y)),K(y,u) * K(z,y)) = T(K(y,z) * K(u,y),(K(y,z) * K(u,y)) \ x). [para(12416(a,1),12710(a,1,2,1))]. 12712 T(K(x,y) * K(z,x),(K(x,y) * K(z,x)) \ u) = (u * (K(x,y) * K(z,x))) / u. [para(12454(a,1),12711(a,1,2)),flip(a)]. 12713 T(K(x,y) * K(z,x),(K(x,y) * K(z,x)) \ u) = T(K(x,y) * K(z,x),u). [hyper(236,a,12467,a(flip),b,12712,a)]. 12714 T(K(x,y) * K(z,x),K(y,x) * (K(x,z) * u)) = T(K(x,y) * K(z,x),u). [para(12358(a,1),12713(a,1,2))]. 12715 T(K(x,y) * K(z,x),K(x,z) * u) = T(K(x,y) * K(z,x),u). [hyper(236,a,12655,a(flip),b,12714,a(flip)),flip(a)]. 12716 (K(x,y) * z) \ (K(x,u) * z) = T(K(x,u) * K(y,x),z). [hyper(236,a,12382,a(flip),b,12715,a(flip)),flip(a)]. 12717 K(x,T(y,z)) * K(u,T(x,z)) = T(K(x,y) * K(u,x),z). [hyper(236,a,9894,a(flip),b,12716,a(flip)),flip(a)]. 12718 K(x,T(y,z)) * (K(u,T(x,z)) * w) = T(K(x,y) * K(u,x),z) * w. [para(12717(a,1),12369(a,1,1)),flip(a)]. 12719 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(236,a,10947,a(flip),b,12718,a(flip))]. 12720 R(T(x,y),z,R(x,u,w)) * (T(x,y) \ v5) = a(x,z,R(x,u,w)) * v5. [para(12383(a,1),12719(a,1,1)),flip(a)]. 12722 (((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(5790(a,1),9578(a,1,1,1))]. 12723 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),L(x,y,z) \ x) * (((x \ L(x,y,z)) * u) / (1 * u)). [para(2712(a,1),12613(a,2,1))]. 12724 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (((x \ L(x,y,z)) * u) / (1 * u)). [para(6745(a,1),12723(a,2,1))]. 12725 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (((x \ L(x,y,z)) * u) / u). [para(11(a,1),12724(a,2,2,2))]. 12726 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = K(x \ L(x,y,z),a(z,y,x)) * (x \ L(x,y,z)). [para(15(a,1),12725(a,2,2))]. 12727 ((((x \ L(x,y,z)) * u) / (((L(x,y,z) \ x) * (x \ L(x,y,z))) * u)) \ 1) \ 1 = T(x \ L(x,y,z),a(z,y,x)). [hyper(236,a,4897,a,b,12726,a)]. 12729 T(x \ L(x,y,z),a(z,y,x)) = ((((x \ L(x,y,z)) * u) / (1 * u)) \ 1) \ 1. [para(12611(a,1),12727(a,1,1,1,2,1)),flip(a)]. 12730 T(x \ L(x,y,z),a(z,y,x)) = ((((x \ L(x,y,z)) * u) / u) \ 1) \ 1. [para(11(a,1),12729(a,2,1,1,2))]. 12732 T(x \ L(x,y,z),a(z,y,x)) = ((x \ L(x,y,z)) \ 1) \ 1. [para(15(a,1),12730(a,2,1,1))]. 12733 (L(x,y,z) \ x) * (((x \ L(x,y,z)) \ 1) \ 1) = K(x \ L(x,y,z),a(z,y,x)). [para(12732(a,1),12612(a,1,2))]. 12734 (x \ L(x,y,z)) * (L(x,y,z) \ x) = K(x \ L(x,y,z),a(z,y,x)). [hyper(2288,a,12733,a)]. 12735 K(x \ L(x,y,z),a(z,y,x)) = 1. [hyper(6711,a,12734,a),flip(a)]. 12736 K(a(x,y,z),z \ L(z,y,x)) = 1. [hyper(73,a,12735,a,b,5101,a),flip(a)]. 12738 1 / a(x,y,z) = a(x,y,z) \ 1. [para(12736(a,1),6636(a,1,2)),flip(a)]. 12739 (a(x,y,z) \ 1) \ 1 = a(x,y,z). [para(12738(a,1),65(a,1,1))]. 12740 (a(x,y,z) \ 1) \ 1 != u | a(x,y,z) = u. [para(12738(a,1),282(a,1,1)),flip(b)]. 12742 a(x,y,z) = (((x * (y * z)) \ ((x * y) * z)) \ 1) \ 1. [para(24(a,1),12739(a,1,1,1)),flip(a)]. 12743 (a(x,y,R(x,z,u)) \ 1) \ 1 = a(R(x,z,u),y,x). [para(12099(a,1),12739(a,1,1))]. 12744 a(R(x,y,z),u,x) = a(x,u,R(x,y,z)). [hyper(12740,a,12743,a),flip(a)]. 12745 a(R(x,y,z),u,x) != w | a(x,u,R(x,y,z)) = w. [para(12743(a,1),12740(a,1))]. 12746 (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(236,a,9481,a,b,12744,a),flip(a)]. 12747 T(a(x,y,z),x) = a(x,y,z). [hyper(236,a,11883,a(flip),b,12742,a),flip(a)]. 12748 a(x,y,z) * x = x * a(x,y,z). [para(12747(a,1),119(a,1,2)),flip(a)]. 12750 T(a(1 / x,y,z),x \ 1) = a(x \ 1,y,z). [para(3858(a,2),12747(a,1,1))]. 12751 a((x / y) \ 1,z,(x / y) \ 1) = a(x \ y,z,x \ y). [hyper(236,a,12500,a(flip),b,12750,a(flip))]. 12752 (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(11699(a,1),12746(a,1,1,2))]. 12753 (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(609(a,1),12752(a,1,1))]. 12754 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(182(a,1),12753(a,1,2)),flip(a)]. 12755 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(236,a,2088,a(flip),b,12754,a)]. 12756 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),12755(a,2,3))]. 12757 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(12745,a,12756,a)]. 12758 a(x,T(x,y) \ y,R(x,z,u)) = a(x,x \ y,R(T(x,y),z,u)). [hyper(236,a,12096,a(flip),b,12757,a(flip)),flip(a)]. 12760 a(x,x \ y,R(T(x,y),z,u)) = a(x,x \ y,R(x,z,u)). [hyper(236,a,11896,a(flip),b,12758,a(flip))]. 12762 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(236,a,11301,a,b,12760,a(flip)),flip(a)]. 12763 a(R(x,y,z),R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(9762,a,12762,a)]. 12765 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,y \ (w * y),R(y,z,u)). [para(12763(a,1),11764(a,1,2)),flip(a)]. 12766 (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),12765(a,2,2,2))]. 12767 (x / R(y,z,u)) * R(R(y,w,y),z,u) = x * a(y,w,R(y,z,u)). [para(10313(a,1),12766(a,2,2))]. 12768 x * a(R(y,z,u),w,L(R(y,z,u),v5,v6)) = x * a(y,w,R(y,z,u)). [hyper(236,a,11402,a(flip),b,12767,a(flip)),flip(a)]. 12769 x * a(R(y,z,u),w,R(y,z,u)) = x * a(y,w,R(y,z,u)). [para(320(a,1),12768(a,1,2,3))]. 12770 a(R(x,y,z),u,R(x,y,z)) = a(x,u,R(x,y,z)). [hyper(12298,a,12769,a)]. 12771 R(a(x,y,x),x * z,u) = a(x,y,R(x,z,u)). [hyper(12525,a,12770,a)]. 12772 a(x,R(x,y,z) \ u,R(x,y,z)) = a(x,x \ u,R(x,y,z)). [hyper(236,a,12763,a(flip),b,12770,a(flip))]. 12773 a(x,y,R(x,x \ z,u)) = R(a(x,y,x),z,u). [para(14(a,1),12771(a,1,2)),flip(a)]. 12774 R(x,y,R(x,x \ z,u)) = x * R(a(x,y,x),z,u). [para(12773(a,1),10268(a,1,2)),flip(a)]. 12775 R(T(x,y),z,R(x,x \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(12773(a,1),10378(a,1,2)),flip(a)]. 12776 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(236,a,10349,a(flip),b,12774,a(flip))]. 12777 a(x,x \ y,R(x,z,u)) * K(x,y) = K(x,R(x,z,u) \ y). [para(12772(a,1),10315(a,1,1))]. 12778 K(x,y) * a(x,x \ y,R(x,z,u)) = K(x,R(x,z,u) \ y). [hyper(11716,a,12777,a)]. 12779 R(T(x,y),z,R(x,T(x,y) \ u,w)) = T(x,y) * R(a(x,z,x),u,w). [para(12042(a,1),12776(a,1,2,1)),flip(a)]. 12780 R(T(x,y),z,R(x,T(x,y) \ u,w)) = R(T(x,y),z,R(x,x \ u,w)). [hyper(236,a,12775,a,b,12779,a)]. 12782 (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(12780(a,1),11378(a,2,1,1))]. 12783 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (a(x,z,R(x,x \ u,w)) * u) * w. [para(12720(a,1),12782(a,2,1))]. 12785 (R(T(x,y),z,T(x,y)) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(12773(a,1),12783(a,2,1,1))]. 12786 (R(T(x,y),z,x) * (T(x,y) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(8355(a,1),12785(a,1,1,1))]. 12788 (T(x,y) * (L(T(x,y),z,x) \ u)) * w = (R(a(x,z,x),u,w) * u) * w. [para(12054(a,1),12786(a,1,1))]. 12789 (R(a(x,y,x),z,u) * z) * u = (z * a(x,y,x)) * u. [para(12033(a,1),12788(a,1,1)),flip(a)]. 12790 ((a(x,y,x) * z) * u) \ ((z * a(x,y,x)) * u) = a(R(a(x,y,x),z,u),z,u). [hyper(72,a,12789,a(flip),b,680,a)]. 12792 a(R(a(x,y,x),z,u),z,u) = K(z,T(a(x,y,x),u)). [hyper(11010,a,12790,a),flip(a)]. 12793 a(R(a(x,y,x),z,u),z,u) = K(z,a(x,y,x)). [para(12297(a,1),12792(a,2,2))]. 12794 a(R(a(x,y,x),z,u),z,u) = 1. [hyper(236,a,12296,a(flip),b,12793,a)]. 12798 L(x,y,R(a(z,u,z),y,x)) = x. [hyper(33,a,12794,a)]. 12799 (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(12798(a,1),11117(a,1,2))]. 12800 (R(a(x,y,x),z,u) * (z * u)) / u = z * R(a(x,y,x),z,u). [para(12359(a,1),12799(a,1,1,2,1))]. 12801 x * R(a(y,z,y),x,u) = a(y,z,y) * x. [hyper(476,a,12800,a),flip(a)]. 12803 R(a(x,y,x),z,u) = a(x,y,x). [hyper(17,a,12292,a(flip),b,12801,a)]. 12807 a(x,y,R(x,z,u)) = a(x,y,x). [hyper(236,a,12771,a(flip),b,12803,a(flip)),flip(a)]. 12808 a(x,y * K(z,y),x) = L(a(x,y,x),y,z). [hyper(236,a,12445,a(flip),b,12803,a(flip))]. 12809 (a(x,y,x) * z) * u = a(x,y,x) * (z * u). [para(12803(a,1),113(a,1,1)),flip(a)]. 12814 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (a(u,z,u) * (K(z,u) * y)) \ (K(u * z,u) * (y * x)). [para(12803(a,1),9073(a,1,1,1)),flip(a)]. 12816 L(x,y,a(z,u,z)) = x. [para(12803(a,1),12798(a,1,3))]. 12818 (a(x,y,x) \ z) \ u = z \ (a(x,y,x) * u). [hyper(521,a,12816,a),flip(a)]. 12819 T(x,a(y,z,y)) = L(x,u,a(w,v5,w)). [hyper(236,a,12291,a,b,12816,a),flip(a)]. 12820 (a(x,y,x) * z) \ u = z \ (a(x,y,x) \ u). [hyper(236,a,227,a(flip),b,12816,a(flip)),flip(a)]. 12821 (a(x,y,x) * z) / u = a(x,y,x) * (z / u). [para(12816(a,1),494(a,1,2))]. 12824 a(x,y,R(x,z,u)) = a(x,y,L(x,w,v5)). [hyper(236,a,11407,a,b,12807,a)]. 12825 K(x,R(x,y,z) \ u) = K(x,u) * a(x,x \ u,x). [para(12807(a,1),12778(a,1,2)),flip(a)]. 12826 L(x,y,a(z,u,z)) != w | w = x. [para(12819(a,1),12301(a,1))]. 12827 x \ (a(y,z,y) * u) != w | (a(y,z,y) \ x) \ u = w. [para(450(a,1),12826(a,1)),flip(b)]. 12828 a(x,T(y,x),L(x,z,u)) = a(x,y,R(x,w,v5)). [hyper(11897,a,12824,a),flip(a)]. 12830 (a(x,y,x) * (z * (u * w))) \ (((a(x,y,x) * z) * u) * w) = a(a(x,y,x) * z,u,w). [para(12809(a,1),24(a,2,1)),flip(a)]. 12831 (x * a(y,z,y)) * u = a(y,z,y) * (x * u). [para(12292(a,1),12809(a,1,1))]. 12832 a(x,y,x) * ((x \ z) * u) = (L(x,y,x) \ z) * u. [para(12310(a,1),12809(a,1,1)),flip(a)]. 12833 (a(x,y,x) \ z) \ x = z \ R(x,y,x). [para(9046(a,1),12818(a,2,2))]. 12834 (x * L(y,z,y)) \ y = (x * y) \ R(y,z,y). [para(12287(a,1),12833(a,1,1))]. 12835 a(x,y,x) * ((a(x,y,x) \ z) / u) = z / u. [para(14(a,1),12821(a,1,1)),flip(a)]. 12837 a(x,x \ (y * x),L(x,z,u)) = a(x,y,R(x,w,v5)). [para(32(a,1),12828(a,1,2))]. 12838 a(x,y,x) \ T(z * a(x,y,x),u) = z * K(z * a(x,y,x),u). [hyper(4891,a,12831,a)]. 12839 (1 / x) * a(y,z,y) = a(y,z,y) / x. [hyper(74,a,64,a(flip),b,12831,a),flip(a)]. 12840 a(x,y,x) * z != (u * a(x,y,x)) * w | u * w = z. [para(12831(a,2),19(a,1)),flip(a)]. 12841 (a(x,y,x) \ z) / u = a(x,y,x) \ (z / u). [hyper(80,a,12835,a),flip(a)]. 12842 (x / y) * (z \ L(z,u,z)) = (a(z,u,z) \ x) / y. [hyper(236,a,12324,a,b,12841,a),flip(a)]. 12843 K(x,R(x,y,z) \ u) = K(x,x \ u). [hyper(236,a,9076,a(flip),b,12825,a)]. 12845 K(x,x * ((R(x,y,z) * u) \ w)) = K(x,x \ ((x \ u) \ w)). [hyper(11634,a,12843,a)]. 12846 K(x,x \ (y * z)) = K(x,(x \ y) * z). [para(463(a,1),12843(a,1,2)),flip(a)]. 12847 K(x,(x \ y) * z) = K(x,y * (x \ z)). [hyper(10634,a,12846,a),flip(a)]. 12848 a(L(x,y,z),L(x,y,z) \ (u * x),L(x,y,z)) = a(x,u,R(x,w,v5)). [hyper(236,a,10913,a,b,12837,a(flip)),flip(a)]. 12849 (L(x,y,x) * (x \ z)) / u = (z / u) * (x \ L(x,y,x)). [para(12323(a,2),12842(a,2,1)),flip(a)]. 12850 ((x * y) / z) * (x \ L(x,u,x)) = (L(x,u,x) * y) / z. [para(13(a,1),12849(a,1,1,2)),flip(a)]. 12851 a(x,y,x) \ ((x * z) / u) = (L(x,y,x) * z) / u. [hyper(12352,a,12850,a)]. 12852 K(x,x * ((R(x,y,z) * u) \ w)) = K(x,u \ w). [hyper(236,a,10639,a(flip),b,12845,a)]. 12853 K(x,y \ R(x,z,u)) = K(x,y \ x). [hyper(10852,a,12852,a),flip(a)]. 12854 K(x,x * (((x * y) * z) \ u)) = K(x,(y * z) \ u). [para(113(a,1),12852(a,1,2,2,1))]. 12855 K(R(x,y,z),u \ x) = K(x,R(u,y,z) \ x). [hyper(236,a,12235,a(flip),b,12853,a(flip)),flip(a)]. 12857 K(x,R(R(x / y,y,L(K(z,x),u,w)),v5,v6) \ x) = K(R(x,v5,v6),y). [hyper(236,a,11850,a(flip),b,12855,a(flip))]. 12858 a(x,y,R(x,z,u)) = K(y * x,L(x,w,v5)) * K(L(x,w,v5),y). [hyper(236,a,11274,a(flip),b,12848,a(flip))]. 12859 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(236,a,12597,a,b,12858,a),flip(a)]. 12861 R(R(K(x,y),y,L(K(z,x),u,w)),v5,v6) = K(R(x,v5,v6),y). [hyper(236,a,11924,a(flip),b,12857,a(flip)),flip(a)]. 12863 R(K(x,y),z,u) = K(R(x,z,u),y). [para(6817(a,1),12861(a,1,1))]. 12864 R(K(x,y),K(x,z),u) = K(x,y). [para(4849(a,1),12863(a,2,1))]. 12865 R(K(x,y),z,u) \ 1 = K(y,R(x,z,u)). [para(12863(a,2),5093(a,1,1))]. 12870 (K(x,y) * K(x,z)) * u = K(x,y) * (K(x,z) * u). [para(12864(a,1),113(a,1,1)),flip(a)]. 12871 R(K(x,y),z,u) = K(x,R(y,z,u)). [hyper(6806,a,12865,a)]. 12872 K(x,R(y,z,u)) != w | R(K(x,y),z,u) = w. [para(12865(a,1),6806(a,1))]. 12873 K(x,R(y,z,u)) * (w \ w) = R(K(x,y),z,u). [hyper(236,a,126,a,b,12871,a),flip(a)]. 12874 K(R(x,y,z),u) = K(x,R(u,y,z)). [hyper(236,a,12863,a(flip),b,12871,a(flip)),flip(a)]. 12875 K(x,(y * z) * (z \ 1)) = R(K(x,y),z,z \ 1). [para(189(a,2),12871(a,2,2)),flip(a)]. 12877 x * R(K(x,y),z,u) = T(x,R(y,z,u)). [para(12871(a,2),4887(a,2,2)),flip(a)]. 12881 K(x,y) * K(y,R(x,z,u)) = a(K(y,x),z,u). [para(12871(a,1),12536(a,1,2))]. 12882 K(x,y) * K(y,R(x,z,u)) != w | a(K(y,x),z,u) = w. [para(12871(a,1),12547(a,1,2))]. 12883 K(R(x,y,z),R(x * y,y * z,u)) = K(x,R(x * y,z,u)). [hyper(6878,a,12874,a),flip(a)]. 12885 T(x,x * y) * a(K(x,y),z,u) = L(T(x,R(y,z,u)),y,x). [para(12877(a,1),12564(a,2,1))]. 12888 R(K(x,y),z,u) != w | K(x,R(y,z,u)) = w. [para(12873(a,1),86(a,1))]. 12891 K(R(x,y,z),u) != w | K(x,R(u,y,z)) = w. [para(12863(a,1),12888(a,1))]. 12893 a(K(x,y),z * y,u) = a(K(x,y),z,u). [hyper(12550,a,12881,a)]. 12894 K(a(K(x,y),z * y,u),w) = a(K(y,K(x,w)),z,u). [para(12893(a,2),12582(a,2,1)),flip(a)]. 12895 L(x,K(y,z),K(y,u)) = x. [hyper(436,a,12870,a)]. 12896 (K(x,y) * K(x,z)) \ u = K(z,x) * (K(y,x) * u). [hyper(236,a,5953,a(flip),b,12895,a(flip)),flip(a)]. 12897 a(K(x,K(y,z)),u * y,w) = a(K(y,K(x,z)),u,w). [hyper(236,a,12584,a,b,12894,a(flip)),flip(a)]. 12898 K(x,y) * (K(z,y) * K(y,y \ 1)) = ((y \ K(y,z)) * T(y,x)) \ 1. [hyper(236,a,6139,a(flip),b,12896,a(flip))]. 12899 a(K(x,y),z * y,u) != w | a(K(x,y),z,u) = w. [para(12543(a,1),12882(a,1))]. 12900 K(x,R(R(x * y,y * z,u),y,z)) = K(x,R(x * y,z,u)). [hyper(12891,a,12883,a)]. 12901 ((x \ K(x,y)) * T(x,z)) \ 1 = K(z,x) * (x * (K(y,x) / x)). [para(4044(a,1),12898(a,1,2)),flip(a)]. 12902 ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(z,x) * (K(y,x) / x)). [hyper(236,a,5363,a(flip),b,12901,a)]. 12903 ((x \ K(x,y)) * T(x,z)) \ 1 = x * (K(y,x) / T(x,z)). [para(8459(a,1),12902(a,2,2))]. 12904 K(((x \ 1) \ K(y,x)) \ T(x,z),T(u,w) \ ((u \ 1) \ K(v5,u))) = K((x * (K(y,x) / T(x,z))) \ 1,u * (K(v5,u) / T(u,w))). [para(12903(a,1),11393(a,1,2)),flip(a)]. 12906 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),12859(a,1,2))]. 12907 a(L(x,y,z),u,L(x,y,z)) = a(x,u,R(x,w,v5)). [hyper(9763,a,12906,a)]. 12908 a(L(x,y,z),u,L(x,y,z)) = a(x,u,x). [hyper(236,a,12807,a(flip),b,12907,a)]. 12909 L(a(x,y,x),z,u) = a(x,y,x). [hyper(236,a,12488,a(flip),b,12908,a(flip)),flip(a)]. 12912 a(x,y * K(z,y),x) = a(x,y,x). [hyper(236,a,12808,a,b,12909,a(flip)),flip(a)]. 12914 (x * y) * a(z,u,z) = x * (y * a(z,u,z)). [para(12909(a,1),103(a,1,2))]. 12918 a(x,T(y,z),x) = a(x,y,x). [para(4901(a,1),12912(a,1,2)),flip(a)]. 12919 a(x,y / z,x) = a(x,z \ y,x). [para(4903(a,1),12912(a,1,2))]. 12922 a(x,R(y / z,u,w),x) = a(x,R(z \ y,u,w),x). [para(185(a,1),12918(a,1,2)),flip(a)]. 12923 a(x,R(y / z,z,u),x) = a(x,(z * u) \ (y * u),x). [para(487(a,1),12918(a,1,2)),flip(a)]. 12924 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(12918(a,1),9074(a,1,1))]. 12926 a(x,y,x) * (z * u) = z * (u * a(x,y,x)). [hyper(12305,a,12914,a)]. 12927 R(x,y,a(z,u,z)) = x. [hyper(7075,a,12914,a)]. 12928 x \ (y * a(z,u,z)) = (x \ y) * a(z,u,z). [hyper(587,a,12914,a)]. 12929 ((x * y) * (z * a(u,w,u))) / ((y * z) * a(u,w,u)) = R(R(x,y,z),y * z,a(u,w,u)). [para(12914(a,1),468(a,1,1))]. 12930 (x * (y \ z)) * a(y,u,y) = x * (L(y,u,y) \ z). [para(12028(a,1),12914(a,2,2))]. 12931 L(T(x,y),y,a(z,u,z)) = T(x,y * a(z,u,z)). [hyper(12482,a,12927,a)]. 12932 R(x,y,a(z,u,z)) = x * 1. [hyper(236,a,12,a,b,12927,a)]. 12934 R(x,y,a(z,u,z)) != w | w = x. [para(12932(a,2),83(a,1))]. 12936 x \ (a(y,z,y) * u) = (x \ u) * a(y,z,y). [hyper(551,a,12926,a)]. 12938 a(x,y,x) * (z * u) = z * (a(x,y,x) * u). [para(12292(a,2),12926(a,2,2))]. 12939 x \ (y * (z * a(u,w,u))) = (x \ (y * z)) * a(u,w,u). [para(12914(a,1),12928(a,1,2))]. 12940 x \ (a(y,z,y) * u) = a(y,z,y) * (x \ u). [hyper(236,a,12292,a,b,12936,a)]. 12941 x \ (a(y,z,y) * u) != w | a(y,z,y) * (x \ u) = w. [para(12936(a,2),12305(a,1))]. 12942 (x * a(y,z,y)) * u = x * (a(y,z,y) * u). [hyper(12840,a,12938,a),flip(a)]. 12943 a(x,y,x) \ (z * u) = z * (a(x,y,x) \ u). [hyper(72,a,88,a(flip),b,12938,a)]. 12944 x * (a(y,z,y) \ (x \ u)) = a(y,z,y) \ u. [hyper(72,a,58,a(flip),b,12938,a),flip(a)]. 12945 (a(x,y,x) * (z * u)) \ (z * ((a(x,y,x) * u) * w)) = L(w,a(x,y,x) * u,z). [para(12938(a,2),28(a,2,1)),flip(a)]. 12946 (x * y) \ (x * (a(z,u,z) * (y * w))) != v5 | L(a(z,u,z) * w,y,x) = v5. [para(12938(a,2),447(a,1,2,2))]. 12947 (a(x,y,x) \ z) \ u = a(x,y,x) * (z \ u). [hyper(12827,a,12940,a)]. 12948 x \ (y * (a(z,u,z) * w)) = a(z,u,z) * (x \ (y * w)). [para(12938(a,1),12940(a,1,2))]. 12950 x \ (y * (x * a(z,u,z))) = a(z,u,z) * T(y,x * a(z,u,z)). [hyper(549,a,12942,a)]. 12951 L(x,a(y,z,y),u) = x. [hyper(436,a,12942,a)]. 12952 (x * (y * (a(z,u,z) * w))) \ ((x * (y * a(z,u,z))) * w) = a(x,y * a(z,u,z),w). [para(12942(a,1),24(a,2,1,2)),flip(a)]. 12953 (a(x,y,x) \ z) * (a(x,y,x) * u) = z * u. [para(12289(a,1),12942(a,1,1)),flip(a)]. 12954 (x * (y * a(z,u,z))) * w = (x * y) * (a(z,u,z) * w). [para(12914(a,1),12942(a,1,1))]. 12955 L(x,a(y,z,y),u) = L(x,w,a(v5,v6,v5)). [hyper(236,a,12816,a,b,12951,a)]. 12956 L(x,a(y,z,y),u) != w | w = x. [para(12955(a,2),326(a,1))]. 12957 (x * (a(y,z,y) \ u)) / w = a(y,z,y) \ ((x * u) / w). [para(12943(a,1),12841(a,1,1))]. 12958 a(x,y,x) \ (z \ u) = z \ (a(x,y,x) \ u). [hyper(80,a,12944,a),flip(a)]. 12959 a(x,y,x) \ (z \ x) = z \ L(x,y,x). [hyper(72,a,9119,a(flip),b,12944,a),flip(a)]. 12960 a(x,y,x) * ((z * x) \ u) = (z * L(x,y,x)) \ u. [para(12287(a,1),12947(a,1,1)),flip(a)]. 12961 (a(x,y,x) \ z) * u = z * (a(x,y,x) \ u). [hyper(307,a,12953,a)]. 12962 x / (a(y,z,y) * u) = a(y,z,y) \ (x / u). [hyper(74,a,16,a(flip),b,12953,a)]. 12963 x / (a(y,z,y) \ u) = a(y,z,y) * (x / u). [hyper(554,a,12961,a)]. 12965 ((a(x,y,x) \ z) * u) \ (z * (a(x,y,x) \ (u * w))) = L(w,u,a(x,y,x) \ z). [hyper(72,a,12961,a(flip),b,103,a)]. 12966 (x * (a(y,z,y) \ (u * w))) \ (((a(y,z,y) \ x) * u) * w) = a(a(y,z,y) \ x,u,w). [para(12961(a,1),24(a,2,1)),flip(a)]. 12967 (x * (a(y,z,y) \ u)) \ (u * (a(y,z,y) \ x)) = K(u,a(y,z,y) \ x). [para(12961(a,1),26(a,2,1)),flip(a)]. 12968 (x * (a(y,z,y) \ u)) \ (x * (u * (a(y,z,y) \ w))) = L(w,a(y,z,y) \ u,x). [para(12961(a,1),28(a,2,2,2)),flip(a)]. 12969 ((x * (a(y,z,y) \ u)) * w) / (u * w) = R(a(y,z,y) \ x,u,w). [para(12961(a,1),30(a,2,1,1)),flip(a)]. 12970 (x * (a(y,z,y) \ u)) \ (u * (a(y,z,y) \ x)) != w | K(a(y,z,y) \ u,x) = w. [para(12961(a,1),285(a,1,2))]. 12972 (x \ y) * (a(x,z,x) \ u) = (R(x,z,x) \ y) * u. [para(12339(a,1),12961(a,1,1)),flip(a)]. 12973 (x * (a(y,z,y) \ u)) * w = (x * u) * (a(y,z,y) \ w). [para(12943(a,1),12961(a,1,1))]. 12974 (x \ (a(y,z,y) \ u)) * w = (x \ u) * (a(y,z,y) \ w). [para(12958(a,1),12961(a,1,1))]. 12975 a(x,y,x) \ (z / x) = z / R(x,y,x). [para(9046(a,1),12962(a,1,2)),flip(a)]. 12976 (L(x,y,x) * z) / x = (x * z) / R(x,y,x). [hyper(236,a,12851,a(flip),b,12975,a(flip)),flip(a)]. 12977 L(x,y,x) * (z / x) = x * (z / R(x,y,x)). [para(12975(a,1),12309(a,1,2)),flip(a)]. 12978 (x / R(y,z,y)) * (a(y,z,y) * u) = (x / y) * u. [para(12975(a,1),12953(a,1,1))]. 12979 a(x,y,x) * (z / (u / x)) = z / (u / R(x,y,x)). [para(12975(a,1),12963(a,1,2)),flip(a)]. 12980 T(x,y * a(z,u,z)) = T(x,y). [hyper(12826,a,12931,a)]. 12981 T(x,y * a(z,u,z)) != w | T(x,y) = w. [para(12931(a,1),12826(a,1)),flip(b)]. 12983 K(x,y * a(z,u,z)) = x \ T(x,y). [hyper(72,a,12980,a(flip),b,4887,a(flip)),flip(a)]. 12984 T(x,(y * z) * y) = T(x,y * (z * y)). [para(91(a,1),12980(a,1,2))]. 12985 T(x,T(y,z) / z) = T(x,z \ y). [para(9065(a,1),12980(a,1,2))]. 12986 T(x,y * L(z,u,z)) = T(x,y * z). [para(9118(a,1),12980(a,1,2)),flip(a)]. 12987 T(x,y * R(z,u,z)) = T(x,y * z). [para(11408(a,1),12980(a,1,2))]. 12988 T(x,T(y * z,y)) = T(x,z * y). [para(11414(a,1),12980(a,1,2))]. 12989 T(x,a(y,z,y) \ u) = T(x,u). [para(12289(a,1),12980(a,1,2)),flip(a)]. 12990 T(x,a(y,z,y) * u) = T(x,u). [para(12292(a,2),12980(a,1,2))]. 12991 T(x,a(y,z,y) \ u) = x * K(x,u). [hyper(236,a,4887,a(flip),b,12989,a)]. 12992 T(x,(y \ z) * T(y,z)) = T(x,z). [para(12330(a,1),12989(a,1,2))]. 12993 T(x,y * (a(z,u,z) \ w)) = T(x,y * w). [para(12943(a,1),12989(a,1,2))]. 12994 T(x,y / R(z,u,z)) = T(x,y / z). [para(12975(a,1),12989(a,1,2))]. 12995 T(x,K(y * z,y) * u) = T(x,K(z,y) * u). [para(12281(a,1),12990(a,1,2))]. 12996 T(x,y * (a(z,u,z) * w)) = T(x,y * w). [para(12938(a,1),12990(a,1,2))]. 12997 T(x,y / T(z,y)) = T(x,z \ y). [para(4115(a,1),12985(a,1,2))]. 12998 K(T(x,y) / y,z) = z / T(z,y \ x). [para(12985(a,1),4826(a,2,2))]. 13000 T((x * y) \ z,K(x * y,x)) = T(z / (x * y),y * x). [hyper(7143,a,12988,a)]. 13001 T(x,T(y * z,y)) = x * K(x,z * y). [hyper(236,a,4887,a(flip),b,12988,a)]. 13002 T(T(x,K(y,z)),z * y) = T(x,y * z). [hyper(236,a,9307,a,b,12988,a(flip)),flip(a)]. 13003 T(x,(y \ z) * y) = T(x,T(z,y)). [para(14(a,1),12988(a,1,2,1)),flip(a)]. 13005 K(x,y) * T(x,z * y) = T(T(x,y),y * z). [para(12988(a,1),7449(a,1,2))]. 13007 T(x,T(T(y * z,u),y)) = T(x,T(z * y,u)). [para(4634(a,1),13003(a,1,2)),flip(a)]. 13008 K(x,y * a(z,u,z)) != w | K(x,y) = w. [para(12983(a,2),4956(a,1))]. 13009 T(x,y * T(z,z * u)) = T(x,y * T(z,u)). [para(7537(a,1),12986(a,1,2,2))]. 13010 T(x,y * T(z,z \ u)) = T(x,y * T(z,u)). [para(4297(a,1),12987(a,1,2,2))]. 13011 K(x,a(y,z,y) \ u) = K(x,u). [hyper(4954,a,12991,a)]. 13012 K(x,a(y,z,y) * u) = K(x,u). [para(13(a,1),13011(a,1,2)),flip(a)]. 13014 K(x,L(y,z,y) \ u) = K(x,y \ u). [para(12294(a,1),13011(a,1,2)),flip(a)]. 13015 K(x,y * (a(z,u,z) \ w)) = K(x,y * w). [para(12943(a,1),13011(a,1,2))]. 13016 K(x,y \ (a(z,u,z) \ w)) = K(x,y \ w). [para(12958(a,1),13011(a,1,2))]. 13017 K(x,T(y * z,y)) = K(x,z * y). [para(9061(a,1),13012(a,1,2))]. 13018 K(x,y * R(z,u,z)) = K(x,y * z). [para(12311(a,1),13012(a,1,2))]. 13019 K(x,R(y,z,y) * u) = K(x,y * u). [para(12342(a,1),13012(a,1,2))]. 13020 K(x,(a(y,z,y) * u) / w) = K(x,u / w). [para(12821(a,2),13012(a,1,2))]. 13021 K(x,(L(y,z,y) \ u) * w) = K(x,(y \ u) * w). [para(12832(a,1),13012(a,1,2))]. 13022 K(x,y * (a(z,u,z) * w)) = K(x,y * w). [para(12938(a,1),13012(a,1,2))]. 13023 K(x,y \ (a(z,u,z) * w)) = K(x,y \ w). [para(12940(a,2),13012(a,1,2))]. 13024 K(x,T((1 / y) * z,y)) = K(x,z * (1 / y)). [hyper(9373,a,13017,a)]. 13025 K(x,T(y * (z \ x),z)) = K(x,(z \ x) * y). [hyper(9370,a,13017,a)]. 13026 K(x,T((y \ 1) * z,y)) = K(x,z * (y \ 1)). [hyper(9368,a,13017,a)]. 13027 K(x \ (y \ x),x * z) = K(y \ 1,z * x). [hyper(8400,a,13017,a)]. 13028 K(x / y,y * z) = K(y \ x,z * y). [hyper(8184,a,13017,a)]. 13029 K(x / y,z * y) = K(y \ x,y * z). [hyper(8178,a,13017,a),flip(a)]. 13030 K(T(x,y),z * y) = K(x,y * z). [hyper(8173,a,13017,a),flip(a)]. 13031 K(x / y,x * z) = K(y \ x,z * x). [hyper(8171,a,13017,a)]. 13032 K(x,L(y \ 1,y,z) \ z) = K(x,y * z). [hyper(7830,a,13017,a)]. 13033 K(x,T(y * z,z)) = K(x,z * y). [hyper(236,a,9345,a,b,13017,a(flip)),flip(a)]. 13034 K(x,(y \ z) * y) = K(x,T(z,y)). [para(14(a,1),13017(a,1,2,1)),flip(a)]. 13035 K(x,y * z) * y = y * K(x,z * y). [para(13017(a,1),7281(a,1,2)),flip(a)]. 13037 L(x,y * z,K(u,z * y)) != w | w = x. [para(13030(a,1),5595(a,1,3))]. 13038 K(x,y * (z / y)) = K(x,T(z,y)). [para(16(a,1),13033(a,1,2,1)),flip(a)]. 13039 x * K(y,x * z) != u | K(y,z * x) * x = u. [para(13033(a,1),7283(a,1,2))]. 13040 K(x / y,y * z) != u | K(y \ x,z * y) = u. [para(13033(a,1),8178(a,1))]. 13041 (T((x \ y) * z,y \ x) * (((x \ y) * z) \ z)) \ u = K(((x \ y) * z) \ z,z * (x \ y)) * (z \ u). [para(13033(a,1),12101(a,2,1))]. 13042 K(x,T(T(y * z,u),y)) = K(x,T(z * y,u)). [para(4634(a,1),13034(a,1,2)),flip(a)]. 13043 K(x,T(T(y * z,u),z)) = K(x,T(z * y,u)). [para(4624(a,1),13038(a,1,2)),flip(a)]. 13044 T(x,y / ((z \ u) \ u)) = T(x,y / T(z,u)). [para(8385(a,1),12994(a,1,2,2))]. 13046 K(x,T(y / z,y) \ u) = K(x,(z \ y) \ u). [para(4218(a,1),13014(a,1,2,1))]. 13047 K(x,y / T(z,y)) = K(x,z \ y). [para(4364(a,1),13014(a,1,2))]. 13048 K(x,L(y / z,u,z \ y) \ w) = K(x,(y / z) \ w). [para(7391(a,1),13014(a,1,2,1))]. 13049 K(x,((y \ z) \ z) \ u) = K(x,T(y,z) \ u). [para(12116(a,1),13014(a,1,2,1)),flip(a)]. 13050 K(x,T(y,z) / z) = K(x,z \ y). [para(4115(a,2),13047(a,1,2))]. 13051 K(x,L(T(y,z) / z,u,w)) = L(K(x,z \ y),u,w). [para(13050(a,1),11470(a,1,1)),flip(a)]. 13052 K(x,y * T(z,z \ u)) = K(x,y * T(z,u)). [para(4297(a,1),13018(a,1,2,2))]. 13053 K(x,y * ((z \ u) \ u)) = K(x,y * T(z,u)). [para(8385(a,1),13018(a,1,2,2))]. 13055 K(x,T(y,y * z) * u) = K(x,T(y,z) * u). [para(4277(a,1),13019(a,1,2,1)),flip(a)]. 13056 K(x,((y \ z) \ z) * u) = K(x,T(y,z) * u). [para(8385(a,1),13019(a,1,2,1))]. 13057 T(x,T(y * z,y)) != u | T(x,z * y) = u. [para(11414(a,1),12981(a,1,2))]. 13058 T(x,a(y,z,y) * u) != w | T(x,u) = w. [para(12292(a,2),12981(a,1,2))]. 13059 T(x,(y / z) * ((z * K(z \ y,z)) * (y / z))) = T(x,y * (z \ y)). [para(5643(a,1),12984(a,1,2)),flip(a)]. 13060 K(T(x,y) / y,z) = K(y \ x,z). [hyper(236,a,4826,a,b,12998,a)]. 13062 T(x * K(x / y,z),x) = x * K(y \ x,z). [para(13060(a,1),10087(a,2,2))]. 13063 T(T(x,y * z),K(y,z)) = T(x,z * y). [hyper(7991,a,13002,a)]. 13064 T(T(x,K(y,z)),y * z) = T(x,z * y). [para(7981(a,1),13002(a,1,1))]. 13065 K(x,T(y,z) / z) != u | K(x,z \ y) = u. [para(9065(a,1),13008(a,1,2))]. 13066 K(x,T(y * z,y)) != u | K(x,z * y) = u. [para(11414(a,1),13008(a,1,2))]. 13067 K(x,a(y,z,y) * u) != w | K(x,u) = w. [para(12292(a,2),13008(a,1,2))]. 13068 K(1 / x,y * x) = K(1 / x,x * y). [hyper(236,a,3244,a,b,13028,a),flip(a)]. 13069 T(x,K(y,z * x)) \ (K(y,x * z) * x) = T(K(y,z * x),x). [hyper(72,a,13035,a,b,4106,a)]. 13071 T(x,K(y * z,y) * u) != w | T(x,K(z,y) * u) = w. [para(12281(a,1),13058(a,1,2))]. 13074 T(T(x,y * z),K(y,z)) != u | T(x,z * y) = u. [para(13063(a,1),5847(a,1,1)),flip(b)]. 13075 K(x,K(y * z,y) * u) != w | K(x,K(z,y) * u) = w. [para(12281(a,1),13067(a,1,2))]. 13076 x * K(1 / y,z * y) = x * K(1 / y,y * z). [hyper(21,a,13068,a)]. 13077 T(x,L(y,z,y) * u) = T(x,y * u). [para(12309(a,1),12993(a,1,2))]. 13078 K(x,y * K(z,z * u)) = K(x,y * K(z,u)). [para(9062(a,1),13015(a,1,2,2))]. 13079 K(x,y * K(z \ u,z)) = K(x,y * K(u,z)). [para(9035(a,1),13015(a,1,2,2))]. 13080 K(x,y * (z * L(u,w,u))) = K(x,y * (z * u)). [para(12287(a,1),13015(a,1,2,2))]. 13081 K(x,y * (L(z,u,z) \ w)) = K(x,y * (z \ w)). [para(12294(a,1),13015(a,1,2,2)),flip(a)]. 13082 K(x,y * (z * (a(u,w,u) \ v5))) = K(x,y * (z * v5)). [para(12943(a,1),13015(a,1,2,2))]. 13083 K(x,y * (z \ L(u,w,u))) = K(x,y * (z \ u)). [para(12959(a,1),13015(a,1,2,2))]. 13084 K(x,y \ R(z,u,z)) = K(x,y \ z). [para(9048(a,1),13016(a,1,2,2)),flip(a)]. 13085 K(x,y \ K(z \ u,z)) = K(x,y \ K(u,z)). [para(9035(a,1),13016(a,1,2,2))]. 13086 K(x,(a(y,z,y) * u) \ w) = K(x,u \ w). [para(12820(a,2),13016(a,1,2))]. 13087 K(x,y \ T(z,z * u)) = K(x,y \ T(z,u)). [para(4277(a,1),13084(a,1,2,2)),flip(a)]. 13088 K(x,y \ T(z,z \ u)) = K(x,y \ T(z,u)). [para(4297(a,1),13084(a,1,2,2))]. 13089 K(x,y \ ((z \ u) \ u)) = K(x,y \ T(z,u)). [para(8385(a,1),13084(a,1,2,2))]. 13090 K(x,(y / L(z,u,z)) / w) = K(x,(y / z) / w). [para(12312(a,1),13020(a,1,2,1))]. 13091 K(x,y * (K(z,z * u) * w)) = K(x,y * (K(z,u) * w)). [para(12280(a,1),13022(a,1,2,2)),flip(a)]. 13092 K(x,y \ T(z * u,z)) = K(x,y \ (u * z)). [para(9061(a,1),13023(a,1,2,2))]. 13093 K(x,y \ K(z,z \ u)) = K(x,y \ K(z,u)). [para(9078(a,1),13023(a,1,2,2))]. 13094 L(x \ 1,x,y) * (y / L(x \ 1,x,y)) = y * K(L(x \ 1,x,y),x * y). [para(13032(a,1),5079(a,1,2)),flip(a)]. 13095 T(T(x,K(y,z)),z * y) != u | T(x,y * z) = u. [para(9307(a,2),13057(a,1))]. 13098 K(x,T(y * z,z)) != u | K(x,z * y) = u. [para(9345(a,2),13066(a,1))]. 13099 K(x,K(y * z,y) \ u) = K(x,K(z,y) \ u). [para(9053(a,1),13086(a,1,2,1))]. 13100 K(x,T(y * z,y) \ u) = K(x,(z * y) \ u). [para(9061(a,1),13086(a,1,2,1))]. 13102 K(x,(y * (z * a(u,w,u))) \ v5) = K(x,(y * z) \ v5). [para(12926(a,1),13086(a,1,2,1))]. 13104 K(x,T((y * z) * T(u,z),u * z)) != w | K(x,(u * z) * R(y,z,u)) = w. [para(10681(a,1),13098(a,1,2,1))]. 13106 T(x,K(y \ z,y) * u) = T(x,K(z,y) * u). [para(14(a,1),12995(a,1,2,1,1)),flip(a)]. 13107 T(x,T(y * z,z)) = T(x,z * y). [hyper(8242,a,13007,a),flip(a)]. 13108 T(x,T(y * z,z)) != u | T(x,z * y) = u. [para(13007(a,1),8242(a,1))]. 13109 T(x,y * (z / y)) = T(x,T(z,y)). [para(16(a,1),13107(a,1,2,1)),flip(a)]. 13110 T(x * (y * z),K(y * z,z)) = (y * z) * T(x,z * y). [para(13107(a,1),6466(a,2,2))]. 13111 T(x * K(y,x),z * y) = K(y,x) * T(x,y * z). [para(13107(a,1),8637(a,1,2)),flip(a)]. 13112 T(x,T(y * z,y)) = T(x,T(y,z) * z). [para(3875(a,2),13109(a,1,2)),flip(a)]. 13113 T(x,T(y,z) * z) = T(x,z * y). [hyper(13057,a,13112,a),flip(a)]. 13114 T(x,T(y,z) * z) = x * K(x,z * y). [hyper(236,a,13001,a(flip),b,13112,a(flip))]. 13115 T(x,T(y,z) * z) != u | T(x,z * y) = u. [para(13112(a,1),13057(a,1))]. 13116 T(x,T((T(y,z) * z) \ u,z * y)) != w | T(x,u / (T(y,z) * z)) = w. [para(13113(a,1),8243(a,1,2))]. 13117 K(x,T(y,z) * z) = K(x,z * y). [hyper(4954,a,13114,a)]. 13118 T(x,T(y * K(z,u),z * u)) != w | T(x,(z * u) * (y / (u * z))) = w. [para(10693(a,1),13108(a,1,2,1))]. 13119 T(x,T(y,z \ u) * ((u \ z) \ 1)) != w | T(x,((u \ z) \ 1) * y) = w. [para(6361(a,1),13115(a,1,2,1))]. 13120 T(x,T(y,T(z,u)) * ((u \ z) * u)) != w | T(x,((u \ z) * u) * y) = w. [para(13003(a,1),13115(a,1,2,1))]. 13121 K(x,y * T(z,z * u)) = x \ T(x,y * T(z,u)). [hyper(72,a,13009,a(flip),b,4887,a(flip)),flip(a)]. 13123 K(x \ y,z * (1 / (y / x))) != u | K(x \ y,(1 / (y / x)) * z) = u. [para(13024(a,1),8172(a,1))]. 13124 K(x,(y \ x) * R(y,z,u)) = K(x,x * (y \ R(y,z,u))). [hyper(236,a,10170,a(flip),b,13025,a(flip))]. 13125 K(x,T((y \ 1) * (z * y),y)) = R(K(x,z),y,y \ 1). [hyper(236,a,12875,a(flip),b,13026,a)]. 13126 K(x / y,T(z * y,u)) = K(y \ x,T(y * z,u)). [hyper(8178,a,13042,a),flip(a)]. 13127 K(x,T(y * x,z)) != u | K(x,T(x * y,z)) = u. [para(13042(a,1),5001(a,1))]. 13130 T(x / y,x) * (z / T(x / y,x)) = z * K(T(x / y,x),(y \ x) \ z). [para(13046(a,1),5079(a,1,2)),flip(a)]. 13131 K(x,((y \ z) \ z) \ u) = (w * K(T(y,z) \ u,x)) \ w. [hyper(236,a,7549,a,b,13049,a)]. 13132 K(x \ y,z * T(x,y)) = K(x \ y,z * x). [hyper(8501,a,13052,a),flip(a)]. 13134 K(x,y * T(z / u,z)) = K(x,y * (u \ z)). [para(65(a,1),13053(a,1,2,2,1)),flip(a)]. 13135 K(x,T(y / z,y) * u) = K(x,(z \ y) * u). [para(65(a,1),13056(a,1,2,1,1)),flip(a)]. 13136 (x \ (x * K(y \ x,z))) \ (x * K(x / y,z)) = L(x,K(y \ x,z),x). [para(13062(a,1),10168(a,1,1,2))]. 13137 K(x \ y,z \ T(x,y)) = K(x \ y,z \ x). [hyper(8502,a,13088,a),flip(a)]. 13138 K(x,y \ T(K(z,u) * w,T(z,u))) = K(x,y \ ((z \ w) * T(z,u))). [para(4857(a,1),13092(a,1,2,2,1))]. 13140 K(x,K(y \ z,y) \ u) = K(x,K(z,y) \ u). [para(14(a,1),13099(a,1,2,1,1)),flip(a)]. 13141 L(K(x,y \ (z \ u)),z \ u,z) = K(x,T(y * z,y) \ u). [hyper(236,a,6594,a,b,13100,a),flip(a)]. 13142 K(x,((y \ z) * y) \ u) = K(x,T(z,y) \ u). [para(14(a,1),13100(a,1,2,1,1)),flip(a)]. 13143 K(x,K(y \ z,y) * u) = x \ T(x,K(z,y) * u). [hyper(72,a,13106,a(flip),b,4887,a(flip)),flip(a)]. 13144 T(x,K(y * (z * u),z) * w) = T(x,K(y * u,z) * w). [para(10747(a,1),13106(a,1,2,1)),flip(a)]. 13145 K(x \ T(y,z),y \ z) = u / (K(y \ z,x \ y) * u). [para(13137(a,1),5266(a,1,2,1)),flip(a)]. 13146 K(x,T(y,z) \ z) = K(x,z / y). [hyper(8554,a,13142,a),flip(a)]. 13147 K(x,T(y,z) \ z) != u | K(x,z / y) = u. [para(13142(a,1),8554(a,1))]. 13148 K(x,y \ T(z,y)) != u | K(x,z / y) = u. [para(4117(a,1),13147(a,1,2))]. 13149 K(x,((y / z) \ 1) \ T(u,z / y)) != w | K(x,u / ((y / z) \ 1)) = w. [para(4187(a,1),13148(a,1,2,2))]. 13150 K(x,(y / T(z,y)) * u) = K(x,(z \ y) * u). [para(4364(a,1),13021(a,1,2,1))]. 13151 K(x,(((y \ z) \ z) \ u) * w) = K(x,(T(y,z) \ u) * w). [para(12116(a,1),13021(a,1,2,1,1)),flip(a)]. 13152 K(x,(T(y,z) / z) * u) = K(x,(z \ y) * u). [para(4115(a,2),13150(a,1,2,1))]. 13153 T(x,y * R(x,z,u)) != w | T(x,R(x,z,u) * y) = w. [para(7890(a,1),13074(a,1))]. 13154 K(x,y * (z * T(u / w,u))) = K(x,y * (z * (w \ u))). [para(4218(a,1),13080(a,1,2,2,2))]. 13155 K(x,y * (z * ((u \ w) \ w))) = K(x,y * (z * T(u,w))). [para(12116(a,1),13080(a,1,2,2,2)),flip(a)]. 13156 K(x,y * (T(z / u,z) \ w)) = K(x,y * ((u \ z) \ w)). [para(4218(a,1),13081(a,1,2,2,1))]. 13157 K(x,y * (z / T(u,z))) = K(x,y * (u \ z)). [para(4364(a,1),13081(a,1,2,2))]. 13158 K(x,y * (((z \ u) \ u) \ w)) = K(x,y * (T(z,u) \ w)). [para(12116(a,1),13081(a,1,2,2,1)),flip(a)]. 13159 K(x,y * (T(z,u) / u)) = K(x,y * (u \ z)). [para(4115(a,2),13157(a,1,2,2))]. 13160 K(x,y * ((z / (z / u)) / T(w,T(u,z)))) = K(x,y * (w \ (z / (z / u)))). [para(8363(a,1),13157(a,1,2,2,2))]. 13161 K(x * (T(y,z) / z),u) = w / (K(u,x * (z \ y)) * w). [para(13159(a,1),5266(a,1,2,1)),flip(a)]. 13162 K(x,y * (z \ T(u / w,u))) = K(x,y * (z \ (w \ u))). [para(4218(a,1),13083(a,1,2,2,2))]. 13163 K(x,y * (z \ ((u \ w) \ w))) = K(x,y * (z \ T(u,w))). [para(12116(a,1),13083(a,1,2,2,2)),flip(a)]. 13164 T(T(x,K(y,K(z,u))),K(u,z) * y) != w | T(x,y * K(u,z)) = w. [para(7937(a,1),13095(a,1,1,2))]. 13165 T(T(x,K(y,z)),T(T(z,u),u) * y) != w | T(x,y * T(T(z,u),u)) = w. [para(8051(a,1),13095(a,1,1,2))]. 13166 T(T(x,K(y,K(z,u))),K(z,z * u) * y) != w | T(x,y * K(z,z * u)) = w. [para(9204(a,1),13095(a,1,1,2))]. 13168 K(x,y * ((z * L(u,w,u)) \ v5)) = K(x,y * ((z * u) \ v5)). [para(12960(a,1),13022(a,1,2,2))]. 13170 (R(x,y,x) \ z) * x = (x \ z) * L(x,y,x). [para(9119(a,1),12972(a,1,2)),flip(a)]. 13171 (x / R(y,z,y)) * (u / (w / R(y,z,y))) = (x / y) * (u / (w / y)). [para(12979(a,1),12978(a,1,2))]. 13172 K(x,L(T(y,z) / z,u,w)) != v5 | K(x,L(z \ y,u,w)) = v5. [para(13051(a,2),11589(a,1))]. 13173 x * K(1 / (y / z),(y / z) * u) = x * K(z / y,u * (y / z)). [para(5702(a,1),13076(a,1,2)),flip(a)]. 13174 K(x,y * T(z,z * u)) != w | K(x,y * T(z,u)) = w. [para(13121(a,2),4956(a,1))]. 13175 K(x,K(y \ z,y) * u) = K(x,K(z,y) * u). [hyper(236,a,4829,a,b,13143,a)]. 13176 K(x,K(y \ z,y) * u) != w | K(x,K(z,y) * u) = w. [para(13143(a,2),4956(a,1))]. 13177 K(x,K(T((y / z) \ 1,u) \ w,T(z / y,u)) * v5) = K(x,K(w,T((y / z) \ 1,u)) * v5). [para(10056(a,1),13175(a,1,2,1))]. 13178 a(x,R(y \ z,y,u),x) = a(x,(y * u) \ (z * u),x). [hyper(236,a,12922,a(flip),b,12923,a(flip)),flip(a)]. 13179 x \ (y * (a(z,u,z) * w)) != v5 | a(z,u,z) * (x \ (y * w)) = v5. [para(12938(a,1),12941(a,1,2))]. 13181 T(x,K(y * z,z) * u) != w | T(x,K(y,z) * u) = w. [para(5559(a,2),13071(a,1,2,1))]. 13182 T(x,K(y \ (z * u),u) * w) != v5 | T(x,K(y \ z,u) * w) = v5. [para(10856(a,2),13071(a,1,2,1))]. 13183 K(x,y * (z * K(u * w,w))) = K(x,y * (z * K(u,w))). [para(9071(a,1),13082(a,1,2,2,2)),flip(a)]. 13184 K(x,y * (z * K(u \ w,u))) = K(x,y * (z * K(w,u))). [para(9035(a,1),13082(a,1,2,2,2))]. 13185 K(x,(y * K(z * u,u)) \ w) = K(x,(y * K(z,u)) \ w). [para(9079(a,1),13102(a,1,2,1,2))]. 13186 K(x,(y * T(z * u,z)) \ w) = K(x,(y * (u * z)) \ w). [para(11414(a,1),13102(a,1,2,1,2))]. 13187 K(x,(L(y,z,y) * u) \ w) = K(x,(y * u) \ w). [para(12026(a,1),13102(a,1,2,1)),flip(a)]. 13188 K(x,(((y \ z) \ z) * u) \ w) = K(x,(T(y,z) * u) \ w). [para(12116(a,1),13187(a,1,2,1,1)),flip(a)]. 13189 R(K(x,y),z,z \ 1) = K(x,L(y,z,z \ 1)). [hyper(236,a,9455,a(flip),b,13125,a(flip))]. 13190 K(x,R(y,z,z \ 1)) = K(x,L(y,z,z \ 1)). [hyper(12888,a,13189,a)]. 13191 K(x,L(y,z,z \ 1)) != u | K(x,R(y,z,z \ 1)) = u. [para(13189(a,1),12888(a,1))]. 13192 K(x,L(y / z,z,z \ 1)) = K(x,y * (z \ 1)). [para(482(a,1),13190(a,1,2)),flip(a)]. 13193 K(x,K(y,L(z,u,u \ 1))) = K(x,K(y,z)). [para(13190(a,1),12149(a,1,2))]. 13194 K(x,K(y,(z \ 1) \ u)) = K(x,K(y,z * u)). [para(2922(a,1),13193(a,1,2,2)),flip(a)]. 13195 K(x,K(y,z \ (u \ 1))) = K(x,K(y,u * z)). [hyper(9287,a,13194,a)]. 13196 K(x,K(y,((z / u) \ 1) \ u)) = K(x,K(y,z)). [para(16(a,1),13194(a,2,2,2))]. 13197 x \ T(x * y,K(z,u)) = y * K(z,K(u,x * y)). [para(13194(a,1),7951(a,2,2))]. 13198 x * (y * K(z,K(u,x * y))) = T(x * y,K(z,u)). [para(13194(a,1),7952(a,1,2,2))]. 13199 K(x,K(y \ (z * u),z * u)) = K(x,K(z * u,(z \ y) \ u)). [hyper(236,a,9286,a(flip),b,13195,a(flip))]. 13200 (x / y) \ T(x,K(z,u)) = y * K(z,K(u,x)). [para(13196(a,1),8899(a,2,2))]. 13201 (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(236,a,12665,a(flip),b,13200,a(flip))]. 13203 L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = w \ ((w * u) * (z \ T(z * L(u \ 1,u,w),K(x,y)))). [para(13197(a,2),682(a,1,2,2)),flip(a)]. 13204 L((x \ y) \ (z * a(u,w,u)),x \ y,x) = (y \ (x * z)) * a(u,w,u). [hyper(831,a,12939,a)]. 13205 T((x * (y / x)) \ z,K(x * (y / x),x)) = T(z / (x * (y / x)),y). [para(16(a,1),13000(a,2,2))]. 13207 T(x * (y * z),K(y,z)) = (y * z) * T(x,z * y). [hyper(9302,a,13110,a)]. 13208 K(x,((y \ z) \ z) \ u) != w | K(x,T(y,z) \ u) = w. [para(13131(a,2),7560(a,1))]. 13209 K(x,T(y \ z,y) \ u) != w | K(x,T(y \ z,z) \ u) = w. [para(4108(a,2),13208(a,1,2,1))]. 13210 K(x \ T(y,z),y \ z) != u | K(x \ y,y \ z) = u. [para(13145(a,2),5272(a,1))]. 13211 K(x,(((K(y,z) * u) \ (z * u)) \ w) * v5) = K(x,(T(T(z,y),z * u) \ w) * v5). [para(5203(a,1),13151(a,1,2,1,1,1))]. 13212 K(x,K(T(y / z,y) \ u,T(y / z,y)) * w) = K(x,(u / (u / T(y / z,y))) * ((z \ y) \ w)). [para(5526(a,1),13156(a,1,2))]. 13213 K(x,y * T(z \ u,z)) = K(x,y * (T(z,u) \ u)). [para(4108(a,2),13158(a,1,2,2))]. 13214 K(x * (T(y,z) / z),u) = K(x * (z \ y),u). [hyper(236,a,5266,a(flip),b,13161,a)]. 13215 K(x * (T(y,z) / z),u) != w | K(x * (z \ y),u) = w. [para(13161(a,2),5272(a,1))]. 13216 K(x * (T(y * z,y * u) / (y * u)),w) = K(x * L(u \ z,u,y),w). [para(105(a,2),13214(a,2,1,2))]. 13217 K(x * (y / T(z,y)),u) != w | K(x * (z \ y),u) = w. [para(4115(a,1),13215(a,1,1,2))]. 13218 K(x * (T(y,z) / T(T(z,u),u)),w) != v5 | K(x * (T(T(z,u),u) \ y),w) = v5. [para(8147(a,1),13215(a,1,1,2,1))]. 13219 K(x * (T(y,T(z,u)) / ((u \ z) * u)),w) != v5 | K(x * (((u \ z) * u) \ y),w) = v5. [para(13003(a,1),13215(a,1,1,2,1))]. 13220 K(x,y * (z \ T(u * w,u \ 1))) = K(x,y * (z \ T(u * w,w))). [para(4083(a,2),13163(a,1,2,2,2))]. 13221 K(x,y * ((z * u) * K(u,w))) = K(x,y * (z * ((w \ u) * w))). [para(10659(a,1),13184(a,1,2,2)),flip(a)]. 13223 K(x,T(y * z,y) \ u) != w | K(x,(z * y) \ u) = w. [para(13141(a,1),9929(a,1))]. 13224 K(x,T(L(y,z \ 1,z) / z,z \ 1) \ u) != w | K(x,((z * (y / z)) * (z \ 1)) \ u) = w. [para(1636(a,1),13223(a,1,2,1,1))]. 13225 K(x,y * ((z * (1 / u)) \ w)) = K(x,y * ((z * (u \ 1)) \ w)). [para(1721(a,1),13168(a,1,2,2,1,2))]. 13226 T(x,K(y,z * x)) \ (K(y,x * z) * x) = K(y,T(z * x,x)). [hyper(236,a,7256,a,b,13069,a)]. 13227 K(x,K(y * z,(y \ u) \ z)) = K(x,K(u,y * z)). [hyper(9240,a,13199,a),flip(a)]. 13228 K(x,K(y * z,z \ (y \ u))) = K(x,K(u,y * z)). [hyper(9287,a,13227,a)]. 13229 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(6607(a,2),13228(a,2,2))]. 13230 K(x,y * (z * ((u \ w) * u))) = K(x,y * (z * T(w,u))). [para(6201(a,1),13221(a,1,2,2)),flip(a)]. 13231 (1 / ((x * y) \ x)) * (z / (L(1 / y,y,x) \ 1)) = z * K(1 / (1 / y),z * ((x * ((1 / y) \ 1)) \ x)). [para(13225(a,1),12113(a,2,2))]. 13232 T(x,K(y,z * x)) \ (K(y,x * z) * x) = K(y,x * z). [hyper(236,a,13033,a(flip),b,13226,a)]. 13233 T(x,K(y,z)) \ (K(y,x * z) * x) = K(y,x * z). [para(9334(a,1),13232(a,1,1))]. 13234 T(x,K(y,z)) \ (x * K(y,z * x)) = K(y,x * z). [para(13035(a,1),13233(a,1,2))]. 13235 K(K(x,y),z) * K(x,y * z) = K(x,z * y). [hyper(5370,a,13234,a)]. 13236 K(x,K(y,z)) * K(y,x * z) = K(y,z * x). [hyper(5285,a,13235,a)]. 13237 K(x,K(y,z)) * K(z,y * x) = K(z,x * y). [para(5835(a,1),13235(a,1,1))]. 13238 K(x,K(y,z)) * K(x,y * z) = K(x,z * y). [para(7886(a,1),13235(a,1,1))]. 13239 K(x,K(y,z)) * K(z,x * y) = K(z,y * x). [para(7920(a,1),13235(a,1,1))]. 13240 K(x,K(y,z)) * K(x,z * y) = K(x,y * z). [para(7935(a,1),13235(a,1,1))]. 13241 K(x,K(y,z)) * K(z,x * y) != u | K(z,y * x) = u. [para(13237(a,1),7966(a,1,2)),flip(b)]. 13242 K(x,y * z) * K(x,K(y,z)) = K(x,z * y). [hyper(5870,a,13238,a)]. 13243 K(x,K(y \ z,u)) * K(u,x * (y \ z)) = K(u,(z / T(y,z)) * x). [hyper(236,a,13150,a,b,13239,a)]. 13244 x * (K(y,K(z,u)) * K(u,y * z)) = x * K(u,z * y). [hyper(21,a,13239,a)]. 13245 K(x,y * z) / K(x,K(y,z)) = K(x,z * y). [hyper(74,a,13240,a(flip),b,5864,a)]. 13246 K(x,y * z) / (x \ K(x,z * y)) = T(x,K(y,z)). [hyper(74,a,13240,a(flip),b,4857,a)]. 13247 K(x,K(y,z)) * ((u \ K(x,z * y)) * u) = K(x,y * z) * K(u \ K(x,z * y),u). [para(13240(a,1),10659(a,1,1)),flip(a)]. 13248 x * (K((y * z) \ x,z * y) * K((y * z) \ x,K(z,y))) = ((y * z) \ x) * (y * z). [para(13242(a,2),249(a,1,2))]. 13249 x * (K(y,K(z \ u,z / w)) * K(w \ z,y * (u / z))) = x * K(w \ z,(u / z) * y). [para(7369(a,1),13244(a,1,2,1,2))]. 13250 a(x,x \ y,x) * T(z,K(x,y) * a(x,x \ y,x)) = K(x,y) \ (z * K(x,x \ y)). [para(9076(a,1),12950(a,1,2,2)),flip(a)]. 13251 ((x * y) * (a(z,u,z) \ w)) / (y * w) = R(a(z,u,z) \ x,y,w). [para(12973(a,1),12969(a,1,1))]. 13252 a(x,y,x) \ (((z * u) * w) / (u * w)) = R(a(x,y,x) \ z,u,w). [hyper(236,a,12957,a(flip),b,13251,a(flip)),flip(a)]. 13253 R(a(x,y,x) \ z,u,w) = a(x,y,x) \ R(z,u,w). [para(30(a,2),13252(a,1,2)),flip(a)]. 13254 R(a(x,y,x) \ z,u,w) = R(z,u,w) / a(x,y,x). [hyper(236,a,12293,a,b,13253,a)]. 13255 a(x,y,x) \ (z \ R(u,w,v5)) = z \ R(a(x,y,x) \ u,w,v5). [hyper(72,a,13253,a,b,12944,a),flip(a)]. 13256 R(x * a(y,z,y),u,w) / a(y,z,y) = R(x,u,w). [para(12288(a,1),13254(a,1,1)),flip(a)]. 13257 R(x * a(y,z,y),u,w) = R(x,u,w) * a(y,z,y). [para(13256(a,1),16(a,1,1)),flip(a)]. 13258 a(x,R(y,z,u),x) = a(x,y,x). [hyper(9596,a,13257,a)]. 13259 R(x * a(y,z,y),u,w) * v5 = a(y,z,y) * (R(x,u,w) * v5). [para(13257(a,2),12831(a,1,1))]. 13261 a(x,(y * z) \ (u * z),x) = a(x,y \ u,x). [hyper(236,a,13178,a(flip),b,13258,a(flip)),flip(a)]. 13262 a(x,y,x) * (R(y,z,u) * x) = T(x * R(y,z,u),x). [para(13258(a,1),9061(a,1,1))]. 13263 R(T(x,y),R(z,u,w),x) = a(x,z,x) * T(x,y). [para(13258(a,1),9080(a,1,1)),flip(a)]. 13267 a(x,(y * z) \ z,x) = a(x,y \ 1,x). [para(11(a,1),13261(a,1,2,2))]. 13268 a(x,y * (z \ 1),x) = a(x,z \ y,x). [para(125(a,1),13261(a,1,2))]. 13269 L(x,(y * z) \ (u * z),x) = (w / x) \ (a(x,y \ u,x) \ w). [para(13261(a,1),12327(a,1,2,1)),flip(a)]. 13270 a(x,y / (z * y),x) = a(x,z \ 1,x). [hyper(236,a,12919,a,b,13267,a(flip)),flip(a)]. 13271 (K(x,y) * (z \ 1)) * a(z,z \ K(x,y),z) = L(K(x,y),z \ 1,z) / z. [para(13268(a,1),9781(a,1,2))]. 13272 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(11938(a,1),13270(a,1,2,2)),flip(a)]. 13273 R(T(x,y),R(z,u,w),x) = R(T(x,y),z,x). [hyper(236,a,9080,a(flip),b,13263,a)]. 13274 R(x,y,z) * R(T(u,x * u),x,u) = T(u * R(x,y,z),u * x). [para(13273(a,1),12641(a,1,2))]. 13275 R(x,y,z) * R(u,x,u) = T(u * R(x,y,z),u). [hyper(12335,a,13262,a)]. 13276 (R(x,y,z) * R(u,x,u)) \ ((u * R(x,y,z)) * u) = T(u,u * R(x,y,z)). [para(13275(a,2),4110(a,1,1))]. 13277 a(x,y,x) \ (z \ R(x,u,w)) = z \ R(L(x,y,x),u,w). [para(9119(a,1),13255(a,2,2,1))]. 13278 a(x,y,x) \ (z \ R(x,u,w)) = z \ L(R(x,u,w),y,x). [para(44(a,1),13277(a,2,2))]. 13279 R(a(x,y,x) * z,u,w) * v5 = a(x,y,x) * (R(z,u,w) * v5). [para(12292(a,2),13259(a,1,1,1))]. 13280 L(x,(y * z) \ (u * z),x) = L(x,y \ u,x). [hyper(236,a,12327,a(flip),b,13269,a)]. 13281 R(a(x,y,x) * z,u,w) = a(x,y,x) * R(z,u,w). [hyper(7745,a,13279,a),flip(a)]. 13282 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(13281(a,2),12661(a,1,1,2))]. 13283 T(x * R(y,z,u),x * y) = R(y,z,u) * T(x,y). [para(760(a,1),13274(a,1,2)),flip(a)]. 13285 R(x \ y,z,u) * T(x,x \ y) = T(x * R(x \ y,z,u),y). [para(14(a,1),13283(a,1,2)),flip(a)]. 13286 (x * R(y,z,u)) / (R(y,z,u) * T(x,y)) = K(x * y,x * R(y,z,u)). [para(13283(a,1),4826(a,2,2)),flip(a)]. 13287 R(x \ y,z,u) * ((x \ y) \ y) = T(x * R(x \ y,z,u),y). [hyper(909,a,13285,a)]. 13288 T(x,(y / z) * y) = T(x,y * (z \ y)). [para(4807(a,1),13059(a,1,2,2))]. 13289 K(x,y \ T(z * K(u,w),u)) = K(x,y \ ((u \ z) * T(u,w))). [para(7398(a,1),13138(a,1,2,2))]. 13291 x * K(y / z,(z / y) * u) = x * K(y / z,u * (z / y)). [para(5702(a,1),13173(a,1,2))]. 13292 K(x,K(y,z * (x / y))) * K(y / x,(x / y) * z) = K(x \ y,z * (x / y)). [hyper(236,a,9382,a(flip),b,13291,a)]. 13293 x * K(y / z,(z / y) * u) != w * K(y / z,u * (z / y)) | x = w. [para(13291(a,1),20(a,2))]. 13294 T(x / (x * (y / x)),y) = (x * (y / x)) \ x. [hyper(8019,a,13205,a),flip(a)]. 13295 T((x * (y / x)) \ z,K(y,x)) = T(z / (x * (y / x)),y). [para(5561(a,1),13205(a,1,2))]. 13296 T((x * (y / x)) \ z,K(x,x \ y)) = T(z / (x * (y / x)),y). [hyper(9318,a,13295,a)]. 13297 T(x / (y * (z / y)),z) = (z \ x) * K(y \ z,y). [hyper(236,a,11134,a(flip),b,13296,a(flip))]. 13298 (x \ y) \ (K(y,(x \ y) \ 1) * z) = T(y / (y * (x / y)),x) \ z. [para(13297(a,2),10340(a,2,1))]. 13299 K(x,(y / T(z,y)) * u) != w | K(x,(z \ y) * u) = w. [para(13243(a,1),13241(a,1))]. 13301 K(x,(x / y) * z) != u | K(x,(y \ x) * z) = u. [para(8238(a,1),13299(a,1))]. 13302 (x \ y) \ (K(y,(x \ y) \ 1) * z) = ((y * (x / y)) \ y) \ z. [para(13294(a,1),13298(a,2,1))]. 13303 K(x,(y \ x) \ 1) * ((y \ x) \ z) = ((x * (y / x)) \ x) \ z. [hyper(6025,a,13302,a)]. 13304 K(x,x \ y) * ((y \ x) \ z) = ((x * (y / x)) \ x) \ z. [para(6408(a,1),13303(a,1,1))]. 13305 (x * (a(y,z,y) \ u)) \ (u * (a(y,z,y) \ x)) = K(u,x). [hyper(236,a,13011,a(flip),b,12967,a)]. 13307 K(x \ y,z) \ (y * K(y / x,z)) = L(y,K(x \ y,z),y). [para(13(a,1),13136(a,1,1))]. 13308 L(x,K(y \ x,z),x) = x. [hyper(8235,a,13307,a)]. 13310 L(x,K(y,z),x) = x. [para(65(a,1),13308(a,1,2,1))]. 13311 T(K(x,y) * z,z) = z * K(x,y). [hyper(10284,a,13310,a)]. 13312 (x * K(y,z)) * x = x * (K(y,z) * x). [para(13310(a,1),103(a,1,2))]. 13313 (x * (K(y,z) * x)) / x = x * K(y,z). [para(13310(a,1),137(a,1,2))]. 13316 T(K(x,y) * z,u) * z = z * T(z * K(x,y),u). [para(13311(a,1),180(a,1,2,1)),flip(a)]. 13317 T(x * T(x \ y,z),y) = y * K((x / y) \ 1,z). [para(5164(a,1),13311(a,1,1))]. 13318 ((x * (K(y,z) * u)) / x) / ((x * (u * K(y,z))) / x) = K(K(y,z) * u,T(u,x)). [para(13313(a,1),9129(a,1,2,1,2))]. 13319 T((x * K(y,z)) * x,K(x,u)) / x = T(K(y,z) * x,T(x,u)). [hyper(74,a,6466,a,b,13316,a)]. 13320 K((T(x,y) \ y) \ 1,z) = K((y / x) \ 1,z). [hyper(6110,a,13317,a)]. 13321 T(x * (K(y,z) * x),K(x,u)) / x = T(K(y,z) * x,T(x,u)). [para(13312(a,1),13319(a,1,1,1))]. 13322 (x * T(K(y,z) * x,K(x,u))) / x = T(K(y,z) * x,T(x,u)). [para(7161(a,1),13321(a,1,1))]. 13323 (x * (x * T(K(y,z),T(x,u)))) / x = T(K(y,z) * x,T(x,u)). [para(6466(a,1),13322(a,1,1,2))]. 13324 L(((x \ y) \ z) * a(u,w,u),x \ y,x) = (y \ (x * z)) * a(u,w,u). [para(12928(a,1),13204(a,1,1))]. 13325 K(x * L(y \ z,y,u),w) = K(x * ((u * y) \ (u * z)),w). [hyper(13215,a,13216,a),flip(a)]. 13326 K(x * L(y \ (K(z,K(u,w)) * v5),y,K(z,u)),v6) = K(x * ((K(z,u) * y) \ (K(z,T(u,w)) * v5)),v6). [para(10502(a,1),13325(a,2,1,2,2))]. 13327 T(K(x,y) * K(y,R(x,z,u)),R(x,z,u)) = K(y * x,y * R(x,z,u)). [hyper(236,a,12628,a(flip),b,13286,a(flip)),flip(a)]. 13328 T(a(K(x,y),z * y,u),R(y,z,u)) = K(x * y,x * R(y,z,u)). [para(12543(a,1),13327(a,1,1))]. 13329 K(x * y,x * R(y,z,u)) = a(K(x,T(y,R(y,z,u))),z * y,u). [hyper(236,a,12676,a,b,13328,a(flip))]. 13330 K(x * y,x * R(y,z,u)) = a(K(x,y),z * y,u). [para(625(a,1),13329(a,2,1,2))]. 13331 R(K(x * y,x * R(y,z,u)),x * R(y,z,u),w) = a(K(x,y),z * y,u). [hyper(10363,a,13330,a)]. 13332 K(x,(x / y) * R(y,z,u)) = a(K(x / y,y),z * y,u). [para(16(a,1),13330(a,1,1))]. 13333 K(x,(y \ x) * R(y,z,u)) = a(K(x / y,y),z * y,u). [hyper(13301,a,13332,a)]. 13334 K(x,x * (y \ R(y,z,u))) = a(K(x / y,y),z * y,u). [hyper(236,a,13124,a(flip),b,13333,a(flip)),flip(a)]. 13335 K(x,x * (y \ R(y,z,u))) = a(K(y \ x,y),z * y,u). [para(4997(a,1),13334(a,2,1))]. 13336 a(x,y,x) * ((z * u) \ (z * (u * w))) = L(a(x,y,x) * w,u,z). [hyper(12946,a,12948,a),flip(a)]. 13337 a(x,y,x) * ((z * u) \ (z * (u * w))) != v5 | L(a(x,y,x) * w,u,z) = v5. [para(12948(a,1),12946(a,1))]. 13338 L(a(x,y,x) * z,u,w) = a(x,y,x) * L(z,u,w). [para(28(a,2),13336(a,1,2)),flip(a)]. 13339 a(x,y,x) * L(a(x,y,x) \ z,u,w) = L(z,u,w). [para(14(a,1),13338(a,1,1)),flip(a)]. 13340 x * L(a(x,y,x) * z,u,w) = R(x,y,x) * L(z,u,w). [para(13338(a,2),12320(a,1,2))]. 13341 L(a(x,y,x) \ z,a(x,y,x),L(u / a(x,y,x),w,v5)) = L(u,w,v5) \ (L(u / a(x,y,x),w,v5) * z). [para(13339(a,1),801(a,1,1)),flip(a)]. 13342 x * L(y * a(x,z,x),u,w) = R(x,z,x) * L(y,u,w). [para(12292(a,1),13340(a,1,2,1))]. 13343 R(x,y,x) * L(R(x,y,x) \ z,u,w) = x * L(x \ z,u,w). [para(12341(a,1),13340(a,1,2,1)),flip(a)]. 13344 T(x * L(y * K(x,y),z,u),x) = R(x,y,x) * L(y,z,u). [hyper(236,a,12433,a,b,13342,a(flip)),flip(a)]. 13345 R(x,L(y,z,u),x) = R(x,y,x). [hyper(9849,a,13344,a)]. 13346 R(x,L(y,z,u),x) = x * a(x,y,x). [hyper(236,a,9044,a,b,13345,a)]. 13347 R(x,(y * z) \ y,x) = R(x,z \ 1,x). [para(158(a,1),13345(a,1,2))]. 13348 R(x,(y * z) \ u,x) = R(x,z \ (y \ u),x). [para(227(a,1),13345(a,1,2))]. 13349 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(13345(a,1),12633(a,1,2,1))]. 13351 a(x,L(y,z,u),x) = a(x,y,x). [hyper(9050,a,13346,a)]. 13352 a(x,(y * z) \ u,x) = a(x,z \ (y \ u),x). [para(227(a,1),13351(a,1,2))]. 13353 L(x,L(y,z,u),x) = a(x,y,x) \ x. [para(13351(a,1),9119(a,1,1)),flip(a)]. 13354 L(x,L(y,z,u),x) = L(x,y,x). [hyper(236,a,9119,a(flip),b,13353,a)]. 13355 L(x,L(y,z,u) \ y,x) = L(x,a(u,z,y),x). [para(1566(a,2),13354(a,1,2)),flip(a)]. 13356 R(x,((y * z) * u) \ (y * (z * u)),x) = R(x,a(y,z,u) \ 1,x). [para(91(a,1),13347(a,1,2,1))]. 13357 T(x * y,x) * L(T(x * y,x) \ z,u,w) = y * (x * L(x \ (y \ z),u,w)). [para(13343(a,1),11295(a,1,2)),flip(a)]. 13358 R(x,y \ ((z * u) \ (z * (u * y))),x) = R(x,a(z,u,y) \ 1,x). [hyper(236,a,13348,a(flip),b,13356,a(flip)),flip(a)]. 13359 R(x,a(y,z,u) \ 1,x) = R(x,u \ L(u,z,y),x). [para(28(a,2),13358(a,1,2,2)),flip(a)]. 13360 T(x / y,x) * (z / T(x / y,x)) = z * K(y \ x,(y \ x) \ z). [para(7247(a,1),13130(a,2,2))]. 13361 T(x / y,x) * (z / T(x / y,x)) != u | (y \ x) * (z / (y \ x)) = u. [para(13360(a,2),5323(a,1))]. 13362 K(x,y) * (L(z,z \ K(x,y),z) \ 1) = L(K(x,y),z \ 1,z) / z. [hyper(236,a,12930,a(flip),b,13271,a(flip)),flip(a)]. 13363 K(x,y) * (L(z,z \ K(x,y),z) \ 1) = K(x,L(y,z \ 1,z)) / z. [para(11470(a,1),13362(a,2,1))]. 13364 L(T(x,R(y,z,u)),y,T(x,R(y,z,u))) = T(x,x * R(y,z,u)). [hyper(236,a,12049,a(flip),b,13276,a(flip)),flip(a)]. 13365 R(a(K(x,y),z * y,u),x * R(y,z,u),w) = a(K(x,y),z * y,u). [para(13330(a,1),13331(a,1,1))]. 13366 L(x \ 1,x,y) * (y / L(x \ 1,x,y)) = y * K(x \ 1,x * y). [para(6325(a,1),13094(a,2,2))]. 13368 (a(x,y,x) * (z * u)) \ (z * (a(x,y,x) * (u * w))) = L(w,a(x,y,x) * u,z). [para(12809(a,1),12945(a,1,2,2))]. 13369 (x * (a(y,z,y) \ u)) \ (x * (a(y,z,y) \ (u * w))) = L(w,u,a(y,z,y) \ x). [para(12961(a,1),12965(a,1,1))]. 13370 K(a(x,y,x) \ z,u) = K(z,u). [hyper(12970,a,13305,a)]. 13371 K(a(x,y,x) * z,u) = K(z,u). [hyper(8409,a,13370,a),flip(a)]. 13372 K(a(x,y,x) * z,u) != w | K(z,u) = w. [para(13370(a,1),8409(a,1))]. 13373 K(x * a(y,z,y),u) = K(x,u). [para(12288(a,1),13370(a,1,1)),flip(a)]. 13374 K(L(x,y,x) \ z,u) = K(x \ z,u). [para(12294(a,1),13370(a,1,1)),flip(a)]. 13377 K(x \ L(y,z,y),u) = K(x \ y,u). [para(12959(a,1),13370(a,1,1))]. 13380 K(K(x * y,x) * z,u) = K(K(y,x) * z,u). [para(12281(a,1),13371(a,1,1))]. 13381 K(x / L(y,z,y),u) = K(x / y,u). [para(12312(a,1),13371(a,1,1))]. 13382 K(R(x,y,x) * z,u) = K(x * z,u). [para(12342(a,1),13371(a,1,1))]. 13383 K(K(x,x \ y) * z,u) = K(K(x,y) * z,u). [para(12282(a,1),13371(a,1,1))]. 13385 a(x,y,x) \ T(z * a(x,y,x),u) = z * K(z,u). [para(13373(a,1),12838(a,2,2))]. 13386 K(T(x / y,x) \ z,u) = K((y \ x) \ z,u). [para(4218(a,1),13374(a,1,1,1))]. 13387 K(((x \ y) \ y) \ z,u) = K(T(x,y) \ z,u). [para(12116(a,1),13374(a,1,1,1)),flip(a)]. 13388 K(x \ ((y \ z) \ z),u) = K(x \ T(y,z),u). [para(12116(a,1),13377(a,1,1,2)),flip(a)]. 13389 K(x / T(y / z,y),u) = K(x / (z \ y),u). [para(4218(a,1),13381(a,1,1,2))]. 13390 K(x / ((y \ z) \ z),u) = K(x / T(y,z),u). [para(12116(a,1),13381(a,1,1,2)),flip(a)]. 13391 K(((x \ y) \ y) * z,u) = K(T(x,y) * z,u). [para(8385(a,1),13382(a,1,1,1))]. 13392 K(T(x * y,x),z) != u | K(y * x,z) = u. [para(9061(a,1),13372(a,1,1))]. 13393 K(K(x,x \ y) * z,u) != w | K(K(x,y) * z,u) = w. [para(12282(a,1),13372(a,1,1))]. 13394 K(x * y,T(T(z,y),u)) = K(y * x,T(z,u)). [hyper(13392,a,8075,a)]. 13395 K(x * y,T(z,y)) = K(y * x,z). [hyper(13392,a,8054,a)]. 13396 K(x * y,x \ z) = K(y * x,z / x). [hyper(13392,a,7313,a),flip(a)]. 13397 K(x * y,T(z,x)) = K(y * x,z). [hyper(13392,a,7260,a),flip(a)]. 13398 K(x * y,T(z,x)) != u | K(y * x,z) = u. [para(7260(a,1),13392(a,1))]. 13401 K(x * (y / x),z) = K(y,T(z,x)). [para(16(a,1),13395(a,1,1)),flip(a)]. 13403 (x * y) * K(y * x,z) = T(x * y,T(z,y)). [para(13395(a,1),4887(a,2,2)),flip(a)]. 13404 K(x * y,z) * y = y * K(y * x,z). [para(13395(a,1),7281(a,1,2)),flip(a)]. 13405 K(x * y,z) * x = x * K(y * x,z). [para(13395(a,1),8047(a,1,1))]. 13406 ((x * y) * L(T(x,y),y,z)) / (x * y) = L(T(x,y),y,z) * K(y * x,x). [para(13395(a,1),11843(a,2,2))]. 13408 K((x \ y) * x,z) = K(y,T(z,x)). [para(14(a,1),13397(a,1,1)),flip(a)]. 13409 K(x * y,z) * (y * x) = T(y * x,T(z,y)). [para(13397(a,1),4897(a,2,1)),flip(a)]. 13410 K(x * y,T(z,y)) != u | K(y * x,z) = u. [para(13397(a,1),8174(a,1))]. 13411 K(x * y,z) * T(z,T(z * (y * x),y)) = L(z,y * x,z). [para(13397(a,1),12069(a,1,1))]. 13412 K(T(x,y) * y,z) = K(x * y,T(z,x)). [para(3875(a,2),13401(a,1,1))]. 13413 K(a(x,y,y \ 1),T(z,R(x,y,y \ 1))) = K((x \ 1) * R(x,y,y \ 1),z). [para(1073(a,1),13408(a,1,1,1)),flip(a)]. 13414 K(x * y,z) * y != y * u | K(y * x,z) = u. [para(13404(a,2),19(a,1))]. 13415 T(x * K(x * y,z),y) \ T(x,T(y,z)) = K(z,x * y). [para(13404(a,1),12707(a,1,1,1))]. 13416 K((x * (y / z)) \ x,((x * (y / z)) \ x) \ x) = (x * K((y / z) * x,z / y)) \ x. [para(13405(a,1),11314(a,2,1))]. 13417 K(T(x,y) * y,z) = K(y * x,z). [hyper(236,a,13397,a(flip),b,13412,a)]. 13418 (T(x,y) * y) * (z / (T(x,y) * y)) = z * K(y * x,(T(x,y) * y) \ z). [para(13417(a,1),5079(a,1,2)),flip(a)]. 13421 K((x \ y) * z,T(x,y)) != u | K(z * (x \ y),x) = u. [para(7238(a,1),13398(a,1))]. 13422 K(x * T(y,z),T(u,K(y,z))) != w | K(K(y,z) * (x * y),u) = w. [para(6201(a,1),13410(a,1,1))]. 13423 K(x * y,z / y) != u | K(y * x,y \ z) = u. [para(8069(a,1),13410(a,1))]. 13424 K(x * (y \ z),T(u,z \ y)) != w | K((y \ z) * x,u) = w. [para(9348(a,1),13410(a,1))]. 13425 K(K(x \ y,x) * z,u) = K(K(y,x) * z,u). [para(14(a,1),13380(a,1,1,1,1)),flip(a)]. 13426 K(K(x * (y * z),x * y) * u,w) = K(K(L(z,y,x),x * y) * u,w). [para(103(a,1),13380(a,1,1,1,1))]. 13427 K(K(x \ 1,y * x) * z,u) = K(K(x \ 1,y) * z,u). [para(5996(a,1),13383(a,1,1,1))]. 13428 K(T(x,y) \ y,z) != u | K(y / x,z) = u. [para(13387(a,1),8395(a,1))]. 13429 K(x \ T(y,x),z) != u | K(y / x,z) = u. [para(4117(a,1),13428(a,1,1))]. 13430 K(x \ T(y,x),T(y,x) \ (x * z)) = K(y / x,(x \ T(y,x)) \ z). [hyper(13429,a,10645,a),flip(a)]. 13431 K(x \ T(y,x),z) = K(y / x,z). [hyper(13429,a,xx),flip(a)]. 13432 (x \ T(y,x)) * (z / (x \ T(y,x))) = z * K(y / x,(x \ T(y,x)) \ z). [para(13431(a,1),5079(a,1,2)),flip(a)]. 13433 K((x \ (y * z)) \ z,x \ (y * z)) = K(y \ T(x,y * z),x \ (y * z)). [hyper(10733,a,13388,a)]. 13434 K(T(x / y,x) * z,u) = K((y \ x) * z,u). [para(65(a,1),13391(a,1,1,1,1)),flip(a)]. 13435 K(T((x \ y) * z,y \ x) * u,w) = K(T((x \ y) * z,z) * u,w). [para(6363(a,2),13391(a,1,1,1))]. 13436 ((x * (K(y,z) * u)) / x) / ((x * (u * K(y,z))) / x) = K(z,K(u * K(y,z),T(y,x))). [para(13394(a,1),11278(a,2,2))]. 13437 T(K(x,y) * (x * T(z,T(x,y))),T(u,x * T(z,T(x,y)))) = (K(x,y) * (x * T(z,T(x,y)))) * K(K(x,y) * (z * x),u). [para(8206(a,1),13403(a,1,2,1)),flip(a)]. 13439 T(x * (y / x),T(z,x)) = K(y,z) * (x * (y / x)). [para(16(a,1),13409(a,1,1,1)),flip(a)]. 13440 a(x,y,x) \ T(z * a(x,y,x),u) = T(z,u). [hyper(236,a,4887,a,b,13385,a)]. 13442 a(x,y,x) \ T(z,u) = T(a(x,y,x) \ z,u). [para(12289(a,1),13440(a,1,2,1))]. 13443 T(a(x,y,x) \ z,u) \ w = a(x,y,x) * (T(z,u) \ w). [para(13442(a,1),12947(a,1,1))]. 13444 K(x,y) * (z * (x / z)) = z * (T(x,T(y,z)) / z). [hyper(236,a,4615,a(flip),b,13439,a(flip))]. 13445 T(x,T(y,z)) \ (K(x,y) * (z * (x / z))) = K(z,T(x,T(y,z)) / z). [hyper(72,a,13444,a,b,250,a)]. 13449 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(6051(a,2),13415(a,1,2,2))]. 13450 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(11946(a,1),13411(a,1,1,1))]. 13451 K(x / y,(y \ T(x,y)) \ z) = K(x / y,T(x,y) \ (y * z)). [hyper(13429,a,13430,a),flip(a)]. 13452 K(x,y) * (T(x,T(y,z)) \ (z * (x / z))) = K(z,T(x,T(y,z)) / z). [hyper(236,a,9685,a(flip),b,13445,a(flip)),flip(a)]. 13453 L(T(x,y) * K(x * y,T(x,y)),y,z) = L(T(x,y),y,z) * K(y * x,x). [hyper(5657,a,13406,a)]. 13454 K((x * y) \ (z * y),z \ (x * y)) = K(x \ T(z,x * y),z \ (x * y)). [hyper(236,a,10652,a(flip),b,13433,a(flip)),flip(a)]. 13455 L(T(x * K(x * y,x),y),y,z) = L(T(x,y),y,z) * K(y * x,x). [para(5493(a,1),13453(a,1,1))]. 13456 L(T(x,y),y,z) * K(y * x,x) = L(R(x,y,x),y,z). [para(5494(a,1),13455(a,1,1)),flip(a)]. 13457 K((x * y) \ (z * y),z \ (x * y)) != u | K(x \ z,z \ (x * y)) = u. [para(13454(a,2),13210(a,1))]. 13458 K(x,(T(T(y,z),y * u) \ w) * v5) = K(x,(T(T(y,z),u) \ w) * v5). [para(7678(a,1),13211(a,1,2,1,1)),flip(a)]. 13459 T((x * y) * L((x * y) \ x,z,u),x) = y * (x * L(x \ (y \ x),z,u)). [hyper(236,a,2090,a(flip),b,13357,a(flip)),flip(a)]. 13461 T(x * (y * L(y \ 1,z,u)),x) = y * (x * L(x \ (y \ x),z,u)). [para(852(a,1),13459(a,1,1))]. 13462 T(x * (y * L(y \ 1,z,u)),x) = (y * L(y \ 1,z,u)) * x. [hyper(236,a,1701,a(flip),b,13461,a)]. 13463 T(x * ((1 / y) * L(y,z,u)),x) = ((1 / y) * L((1 / y) \ 1,z,u)) * x. [para(65(a,1),13462(a,1,1,2,2,1))]. 13464 T(x * (y \ L(y,z,u)),x) = ((1 / y) * L((1 / y) \ 1,z,u)) * x. [para(4767(a,1),13463(a,1,1,2))]. 13465 T(x * (y \ L(y,z,u)),x) = ((1 / y) * L(y,z,u)) * x. [para(65(a,1),13464(a,2,1,2,1))]. 13466 T(x * (y \ L(y,z,u)),x) = (y \ L(y,z,u)) * x. [para(4767(a,1),13465(a,2,1))]. 13467 R(x,y \ L(y,z,u),x) = x. [hyper(4237,a,13466,a)]. 13468 R(x,a(y,z,u) \ 1,x) = x. [hyper(236,a,13359,a,b,13467,a(flip)),flip(a)]. 13470 a(x,y,x) * ((a(x,y,x) * (z * u)) \ (z * (u * w))) = L(w,a(x,y,x) * u,z). [hyper(13179,a,13368,a)]. 13471 (x * (a(y,z,y) \ u)) \ (x * (u * (a(y,z,y) \ w))) = L(w,u,a(y,z,y) \ x). [para(12943(a,1),13369(a,1,2,2))]. 13475 a(x,y,x) * ((z * u) \ (a(x,y,x) \ (z * (u * w)))) = L(w,a(x,y,x) * u,z). [para(12820(a,1),13470(a,1,2))]. 13476 a(x,y,x) * ((z * u) \ (z * (a(x,y,x) \ (u * w)))) = L(w,a(x,y,x) * u,z). [para(12943(a,1),13475(a,1,2,2))]. 13477 a(x,y,x) * ((z * u) \ (z * (u * (a(x,y,x) \ w)))) = L(w,a(x,y,x) * u,z). [para(12943(a,1),13476(a,1,2,2,2))]. 13478 L(a(x,y,x) * (a(x,y,x) \ z),u,w) = L(z,a(x,y,x) * u,w). [hyper(13337,a,13477,a)]. 13479 L(x,a(y,z,y) * u,w) = L(x,u,w). [para(14(a,1),13478(a,1,1)),flip(a)]. 13480 L(x,a(y,z,y) \ u,w) = L(x,u,w). [para(14(a,1),13479(a,1,2)),flip(a)]. 13482 (x * (a(y,z,y) \ u)) \ (x * (u * (a(y,z,y) \ w))) = L(w,u,x). [hyper(236,a,12968,a,b,13480,a(flip)),flip(a)]. 13488 L(x,y,a(z,u,z) \ w) = L(x,y,w). [hyper(236,a,13471,a(flip),b,13482,a(flip)),flip(a)]. 13490 L(x,y,R(z,u,z)) = L(x,y,z). [para(9048(a,1),13488(a,1,3)),flip(a)]. 13491 L(x,y,K(z,z * u)) = L(x,y,K(z,u)). [para(9062(a,1),13488(a,1,3))]. 13492 L(x,y,K(z \ u,z)) = L(x,y,K(u,z)). [para(9035(a,1),13488(a,1,3))]. 13493 L(x,y,L(z,u,z)) = L(x,y,z). [para(9119(a,1),13488(a,1,3))]. 13494 L(x,y,z * a(u,w,u)) = L(x,y,z). [para(12288(a,1),13488(a,1,3)),flip(a)]. 13495 L(x,y,L(z,u,z) \ w) = L(x,y,z \ w). [para(12294(a,1),13488(a,1,3)),flip(a)]. 13496 L(x,y,z * (a(u,w,u) \ v5)) = L(x,y,z * v5). [para(12943(a,1),13488(a,1,3))]. 13498 L(x,y,T(z,z \ u)) = L(x,y,T(z,u)). [para(4297(a,1),13490(a,1,3))]. 13499 L(x,y,(z \ u) \ u) = L(x,y,T(z,u)). [para(8385(a,1),13490(a,1,3))]. 13500 ((x * (y * x)) / x) \ (L(x,y,x) * z) = L(y \ z,y,x). [hyper(236,a,4246,a(flip),b,13493,a(flip)),flip(a)]. 13501 L(x,y,K(z,z \ u)) = L(x,y,K(z,u)). [para(9076(a,1),13494(a,1,3))]. 13502 L(x,y,T(z * u,z)) = L(x,y,u * z). [para(11414(a,1),13494(a,1,3))]. 13503 L(x,y,K(z,u \ (w * z))) = L(x,y,K(z,u \ w)). [para(10839(a,2),13491(a,1,3))]. 13504 L(x,y / z,K(y,z)) = x. [hyper(7340,a,13492,a)]. 13505 K(x,y) * ((x / y) * z) = (x / T(y,x)) * z. [para(13504(a,1),5385(a,1,2)),flip(a)]. 13506 L(x,y,T(z * u,u \ 1)) = L(x,y,T(z * u,z)). [para(6365(a,1),13498(a,1,3))]. 13507 L(x,y \ z,K(y,z)) = x. [hyper(5595,a,13501,a)]. 13508 L(x,y,K(z \ u,u)) = L(x,y,K(z \ u,z)). [para(5006(a,1),13501(a,1,3)),flip(a)]. 13509 L(x,y,z * x) = L(x,y,x * z). [hyper(7388,a,13502,a),flip(a)]. 13510 L(x,y,(z \ u) * z) = L(x,y,T(u,z)). [para(14(a,1),13502(a,1,3,1)),flip(a)]. 13511 L(x,y,(x \ z) * x) = L(x,y,z). [para(14(a,1),13509(a,2,3))]. 13512 L(x,y,L(z \ u,z,w / u) * ((w / u) * z)) = L(x,y,T(w,(w / u) * z)). [para(454(a,2),13510(a,1,3,1))]. 13513 L(x,y,T((z \ u) * z,w)) = L(x,y,T(T(u,w),z)). [para(4639(a,2),13510(a,1,3))]. 13514 L(x,y,z / T(u,z)) = L(x,y,u \ z). [para(4364(a,1),13495(a,1,3))]. 13515 L(x,y,((z \ u) \ u) \ w) = L(x,y,T(z,u) \ w). [para(12116(a,1),13495(a,1,3,1)),flip(a)]. 13516 K(x,y) * ((y / T(x,y)) * z) = (y / x) * z. [hyper(5285,a,13505,a)]. 13517 L(x,y,K(z \ u,u)) = L(x,y,K(u,z)). [hyper(236,a,13492,a(flip),b,13508,a)]. 13518 R(K(x,y),x \ y,z) = K(x,y). [hyper(9528,a,13516,a)]. 13519 R(K(x,x * y),y,z) = K(x,x * y). [para(13(a,1),13518(a,1,2))]. 13521 K(x,R(y \ 1,y,z) \ x) = K(x,x * y). [hyper(236,a,11920,a,b,13519,a(flip)),flip(a)]. 13522 T(x,R(y \ 1,y,z) \ x) = x * K(x,x * y). [para(13519(a,1),11923(a,2,2))]. 13523 R(K(x,x * y),y * z,u) = K(x,((z * u) / ((y * z) * u)) \ x). [para(13521(a,1),11925(a,1,1))]. 13524 L(x,y,z * K(u,u * w)) = L(x,y,z * K(u,w)). [para(9062(a,1),13496(a,1,3,2))]. 13525 L(x,y,z * K(u \ w,u)) = L(x,y,z * K(w,u)). [para(9035(a,1),13496(a,1,3,2))]. 13526 T(x,R(y \ 1,y,z) \ x) = T(x,x * y). [hyper(236,a,4887,a,b,13522,a)]. 13527 T(x,(y / (z * y)) \ x) = T(x,x * z). [hyper(236,a,4522,a(flip),b,13526,a(flip)),flip(a)]. 13528 T(x,(y / z) \ x) = T(x,x * (z / y)). [para(16(a,1),13527(a,1,2,1,2))]. 13529 T(x,(y * x) / z) = T(x,x * (y / z)). [hyper(236,a,9746,a,b,13528,a(flip)),flip(a)]. 13530 x * K(x,x * (y / z)) = T(x,(y * x) / z). [hyper(236,a,4887,a(flip),b,13529,a),flip(a)]. 13531 K(x,(y * x) / z) = K(x,x * (y / z)). [hyper(17,a,4887,a(flip),b,13530,a),flip(a)]. 13532 K(x,(y / z) \ x) = K(x,x * (z / y)). [hyper(9731,a,13531,a)]. 13533 (x * K(y,y * (z / u))) / (y \ x) = T(y,T((z * y) / u,x)). [para(13531(a,1),8105(a,1,1,2))]. 13534 R(K(x,x * (y / z)),x * u,w) = K(R(x,u,w),(z / y) \ x). [para(13532(a,1),6678(a,1,1))]. 13535 L(x,y,T(z * u,u \ 1)) = L(x,y,u * z). [hyper(236,a,13502,a(flip),b,13506,a)]. 13536 L(x,y,T(T(z,u \ 1),u)) = L(x,y,u * (u \ z)). [hyper(236,a,13535,a(flip),b,13513,a(flip))]. 13537 L(x,y,((z \ u) \ u) \ (z * w)) = L(x,y,K(u,z) * w). [para(5203(a,1),13515(a,2,3))]. 13538 L(x,y,z * K(u,u \ w)) = L(x,y,z * K(u,w)). [para(14(a,1),13524(a,1,3,2,2)),flip(a)]. 13539 L(x,y,(K(z \ u,z) \ ((w \ (K(z \ u,z) * v5)) * w)) * K(u,z)) = L(x,y,(w \ (v5 * K(z \ u,z))) * w). [para(4788(a,1),13525(a,1,3)),flip(a)]. 13540 L(x,y,T(T(z,u \ 1),u)) = L(x,y,z). [para(14(a,1),13536(a,2,3))]. 13541 L(x,y,T(z \ u,z \ 1)) = L(x,y,u / z). [para(183(a,1),13540(a,1,3))]. 13542 L(x,y,z / ((u \ w) * u)) = L(x,y,(z / w) * K(u,w)). [para(10451(a,1),13538(a,1,3))]. 13544 L(x,y,K(z \ u,z) * w) = L(x,y,K(u,z) * w). [para(5352(a,1),13537(a,1,3))]. 13545 L(x,y,z / ((u \ w) * u)) = L(x,y,z / T(w,u)). [para(7555(a,1),13542(a,2,3))]. 13546 L(x,y,T(z,z \ u) / u) = L(x,y,z / T(u,z)). [para(4174(a,2),13545(a,1,3))]. 13547 L(x,y,T(z,z \ u) / u) = L(x,y,u \ z). [hyper(236,a,13514,a(flip),b,13546,a)]. 13548 L(x,y,(z * (u / z)) \ z) = L(x,y,T(u / (u / z),(u / (u / z)) \ u) / u). [para(5319(a,2),13547(a,2,3)),flip(a)]. 13549 T(x,T((y * x) / z,u)) = T(x,T(x * (y / z),u)). [hyper(8226,a,13533,a),flip(a)]. 13550 T(x,T(y / (x \ z),u)) = T(x,T(x * (y / z),u)). [hyper(236,a,8727,a(flip),b,13549,a(flip)),flip(a)]. 13551 T(x,T((y / z) \ x,u)) = T(x,T(x * (z / y),u)). [hyper(9944,a,13550,a)]. 13552 K(R(x,y,z),(u / w) \ x) = K(R(x,y,z),x * (w / u)). [hyper(236,a,6678,a(flip),b,13534,a(flip))]. 13553 R(K(x,x * y),y * z,u) = K(x,x * (((y * z) * u) / (z * u))). [hyper(236,a,13532,a(flip),b,13523,a)]. 13555 R(K(x,x * y),y * z,u) = K(x,x * R(y,z,u)). [para(30(a,2),13553(a,2,2,2))]. 13556 K(x,R(x * y,y * z,u)) = K(x,x * R(y,z,u)). [hyper(12888,a,13555,a)]. 13557 L(x,y,(z * (u / z)) \ z) = L(x,y,z / u). [para(270(a,1),13548(a,2,3,1))]. 13558 L(x,y,z / (u * z)) = L(x,y,(z * u) \ z). [para(15(a,1),13557(a,1,3,1,2)),flip(a)]. 13559 L(x,y,(x * y) \ x) \ x = (x / (y * x)) * y. [para(13558(a,1),6064(a,1,1))]. 13560 (a(x,y,x) * (z * (u * w))) \ ((a(x,y,x) * (z * u)) * w) = a(a(x,y,x) * z,u,w). [para(12809(a,1),12830(a,1,2,1))]. 13561 (x * (y * (a(z,u,z) * w))) \ ((x * y) * (a(z,u,z) * w)) = a(x,y * a(z,u,z),w). [para(12954(a,1),12952(a,1,2))]. 13562 (x * (y * (a(z,u,z) \ w))) \ (((a(z,u,z) \ x) * y) * w) = a(a(z,u,z) \ x,y,w). [para(12943(a,1),12966(a,1,1,2))]. 13563 a(x,x \ y,x) * T(z,K(x,y) * a(x,x \ y,x)) = K(y,x) * (z * K(x,x \ y)). [hyper(236,a,5260,a(flip),b,13250,a)]. 13564 K((x * (y / z)) \ x,((x * (y / z)) \ x) \ x) = (x * K((z \ y) * x,z / y)) \ x. [para(9658(a,1),13416(a,2,1,2))]. 13565 (a(x,y,x) * (z * (u * w))) \ (a(x,y,x) * ((z * u) * w)) = a(a(x,y,x) * z,u,w). [para(12809(a,1),13560(a,1,2))]. 13566 a(x,y * a(z,u,z),w) = a(x,y,a(z,u,z) * w). [hyper(679,a,13561,a),flip(a)]. 13567 a(x,a(y,z,y) * u,w) = a(x,u,a(y,z,y) * w). [para(12292(a,2),13566(a,1,2))]. 13568 (x * (y * (a(z,u,z) \ w))) \ ((x * (a(z,u,z) \ y)) * w) = a(a(z,u,z) \ x,y,w). [para(12961(a,1),13562(a,1,2,1))]. 13569 a(x,x \ y,x) * T(z,K(x,y)) = K(y,x) * (z * K(x,x \ y)). [para(12980(a,1),13563(a,1,2))]. 13570 K(x,x \ y) * (z * K(y,x)) = K(y,x) * (z * K(x,x \ y)). [hyper(236,a,12378,a(flip),b,13569,a(flip)),flip(a)]. 13572 K((x * (y / z)) \ x,((x * (y / z)) \ x) \ x) = K(z / y,(z \ y) * x). [hyper(236,a,7549,a(flip),b,13564,a)]. 13573 K((x * (y / z)) \ x,T(x * (y / z),x)) = K(z / y,(z \ y) * x). [hyper(7814,a,13572,a)]. 13575 K((x * (y / z)) \ x,(y / z) * x) = K(z / y,(z \ y) * x). [hyper(13066,a,13573,a)]. 13576 K((x / y) \ 1,(x / y) * z) = K(y / x,(y \ x) * z). [hyper(6345,a,13575,a)]. 13577 K((x / y) \ 1,z * (x / y)) = K(y / x,(y \ x) * z). [hyper(7108,a,13576,a)]. 13579 ((x / y) \ 1) * (z / ((x / y) \ 1)) = z * K(y / x,(y \ x) * z). [para(13576(a,1),7103(a,2,2))]. 13580 K(x / y,(x \ y) * z) = K(x / y,z * (y / x)). [hyper(5825,a,13577,a),flip(a)]. 13581 L(a(x,y,z),x * (y * z),a(u,w,u)) = a(a(u,w,u) * x,y,z). [hyper(787,a,13565,a)]. 13582 a(a(x,y,x) * z,u,w) = a(z,u,w). [hyper(12826,a,13581,a)]. 13583 a(a(x,y,x) * z,u,w) != v5 | a(z,u,w) = v5. [para(13581(a,1),12826(a,1)),flip(b)]. 13585 a(a(x,y,x) \ z,u,w) = a(z,u,w). [para(14(a,1),13582(a,1,1)),flip(a)]. 13586 a(R(x,y,x),z,u) = a(x,z,u). [para(9046(a,1),13582(a,1,1))]. 13587 a(K(x,x \ y),z,u) = a(K(x,y),z,u). [para(9078(a,1),13582(a,1,1))]. 13588 a(K(x * y,x) * z,u,w) = a(K(y,x) * z,u,w). [para(12281(a,1),13582(a,1,1))]. 13589 a(K(x,x \ y) * z,u,w) = a(K(x,y) * z,u,w). [para(12282(a,1),13582(a,1,1))]. 13590 a(x * (a(y,z,y) * u),w,v5) = a(x * u,w,v5). [para(12938(a,1),13582(a,1,1))]. 13591 a((x * L(y,z,y)) \ u,w,v5) = a((x * y) \ u,w,v5). [para(12960(a,1),13582(a,1,1))]. 13592 a(L(R(x,y,x),z,u),w,v5) = a(L(x,z,u),w,v5). [para(11356(a,1),13586(a,1,1))]. 13593 a(K(x \ y,x),z,u) = a(K(y,x),z,u). [para(9035(a,1),13585(a,1,1))]. 13594 a(K(x \ 1,y),z,u) = a(K(x \ y,y),z,u). [para(9072(a,1),13585(a,1,1))]. 13595 K(x,x * (y \ R(y,z,u))) = a(K(x,y),z * y,u). [hyper(236,a,13335,a,b,13593,a(flip)),flip(a)]. 13596 a(K(x,y \ x),z,u) = a(K(y,y \ x),z,u). [para(4998(a,1),13593(a,1,1)),flip(a)]. 13597 a(K(x,x \ 1) * y,z,u) != w | a(y,z,u) = w. [para(3629(a,1),13583(a,1,1,1))]. 13600 a((L(x,y,x) \ z) * u,w,v5) != v6 | a((x \ z) * u,w,v5) = v6. [para(12832(a,1),13583(a,1,1))]. 13601 a(K(x,y \ x),z,u) = a(K(y,x),z,u). [hyper(236,a,13587,a(flip),b,13596,a)]. 13602 a(K(x \ y,y),z,u) = a(K(y,x),z,u). [para(5305(a,1),13601(a,1,1)),flip(a)]. 13603 a(K(x \ 1,y),z,u) = a(K(y,x),z,u). [hyper(236,a,13594,a,b,13602,a(flip)),flip(a)]. 13604 a(K(x,y \ 1),z,u) = a(K(y,x),z,u). [para(3247(a,1),13603(a,1,1)),flip(a)]. 13605 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(y,x * z,u) \ 1,x),w,v5). [para(11039(a,2),13603(a,2,1)),flip(a)]. 13606 K(x \ 1,y) * K(y,R(x,z,u) \ 1) = a(K(x,y),z,u). [hyper(236,a,12540,a,b,13604,a(flip)),flip(a)]. 13607 a(K(x,R(y,z,u) \ 1),w,v5) = a(K(y,R(x,z,u)),w,v5). [para(12874(a,1),13604(a,2,1))]. 13608 a(x * K(y * z,y),u,w) = a(x * K(z,y),u,w). [para(9053(a,1),13590(a,1,1,2))]. 13609 a(x * K(y,y \ z),u,w) = a(x * K(y,z),u,w). [para(9078(a,1),13590(a,1,1,2))]. 13610 a(1 / x,y,z) != u | a(x \ 1,y,z) = u. [para(1835(a,1),13597(a,1,1))]. 13611 a(K(x \ y,x) * z,u,w) = a(K(y,x) * z,u,w). [para(14(a,1),13588(a,1,1,1,1)),flip(a)]. 13612 a(K(x,y) * (x \ y),z,u) = a(y / x,z,u). [para(5073(a,1),13589(a,1,1)),flip(a)]. 13613 a(((x * (y / x)) \ x) \ z,u,w) = a(K(x,y) * ((y \ x) \ z),u,w). [para(13304(a,1),13589(a,1,1))]. 13614 (x * K(y \ R(y,z,u),x)) \ L(x,y \ R(y,z,u),x) = a(K(x,y),z * y,u). [hyper(236,a,5785,a,b,13595,a(flip)),flip(a)]. 13615 (x \ T(x * (y \ R(y,z,u)),x)) \ (x \ (x * (y \ R(y,z,u)))) = a(K(x,y),z * y,u). [hyper(236,a,6254,a(flip),b,13595,a(flip)),flip(a)]. 13616 a(x * K((y * z) * (z \ 1),y * z),u,w) = a(x * K(z \ 1,z * y),u,w). [para(7102(a,1),13608(a,2,1,2))]. 13617 a(x * K(y \ 1,y * z),u,w) = a(x * K(y \ 1,z),u,w). [para(7101(a,1),13609(a,1,1,2))]. 13618 a(K(x,y) * ((y \ x) \ z),u,w) = a((x / y) \ z,u,w). [para(5507(a,1),13611(a,1,1)),flip(a)]. 13620 a((x * L(T(y,x),z,T(y,x))) \ u,w,v5) = a((y * x) \ u,w,v5). [para(119(a,1),13591(a,2,1,1))]. 13621 a((x * ((x \ y) * x)) \ z,u,w) = a((y * x) \ z,u,w). [para(433(a,1),13591(a,1,1,1))]. 13622 R(K(x \ 1,y) * K(y,R(x,z,u) \ 1),w,v5) = a(K(x,R(y,w,v5)),z,u). [hyper(236,a,12596,a,b,13607,a(flip)),flip(a)]. 13623 a((x * L(T(y,x),z,y)) \ u,w,v5) = a((y * x) \ u,w,v5). [para(7536(a,1),13620(a,1,1,1,2))]. 13624 a((L(x,y,x) * z) \ u,w,v5) = a((x * z) \ u,w,v5). [para(181(a,1),13623(a,1,1,1))]. 13626 a((L(x * y,z,x * y) * K(u,L(w,y,x))) \ v5,v6,v7) = a((x * (y * K(u,w))) \ v5,v6,v7). [para(11487(a,1),13624(a,2,1,1))]. 13627 a(((x * (y / x)) \ x) \ z,u,w) = a((x / y) \ z,u,w). [hyper(236,a,13618,a(flip),b,13613,a)]. 13628 a((x \ (x / (x / y))) \ z,u,w) = a((y / x) \ z,u,w). [para(5319(a,1),13627(a,1,1,1))]. 13629 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(y \ 1,R(x,z,u)),w,v5). [para(6831(a,1),13605(a,2,1))]. 13630 a(R(K(x,y),(y * x) * z,u),w,v5) = a(K(R(x,z,u),y),w,v5). [hyper(236,a,13603,a(flip),b,13629,a)]. 13631 a(K(x,R(y,x * z,u)),w,v5) = a(K(R(x,z,u),y),w,v5). [para(11039(a,1),13630(a,1,1))]. 13632 a(K(x,R(y,x * z,u)),w,v5) = a(K(x,R(y,z,u)),w,v5). [para(12874(a,1),13631(a,2,1))]. 13633 a(K(x,R(y,z,u)),w,v5) = R(a(K(x,y),w,v5),z,u). [para(13606(a,1),13622(a,1,1)),flip(a)]. 13634 a(K(x,R(y,x * R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(236,a,13365,a(flip),b,13633,a)]. 13635 a(K(x,R(y,R(y,z,u),w)),z * y,u) = a(K(x,y),z * y,u). [hyper(236,a,13632,a(flip),b,13634,a(flip)),flip(a)]. 13636 (x * (y * (a(z,u,z) \ w))) \ ((x * y) * (a(z,u,z) \ w)) = a(a(z,u,z) \ x,y,w). [para(12973(a,1),13568(a,1,2))]. 13637 a(a(x,y,x) \ z,u,w) = a(z,u,a(x,y,x) \ w). [hyper(679,a,13636,a),flip(a)]. 13638 a(x,y,a(z,u,z) \ w) = a(x,y,w). [hyper(236,a,13585,a(flip),b,13637,a(flip))]. 13639 a(x,K(y,y \ 1) * z,u) = a(x,z,a(w,v5,w) \ u). [hyper(10967,a,13638,a),flip(a)]. 13641 a(x,y,a(z,u,z) * w) = a(x,y,w). [para(13(a,1),13638(a,1,3)),flip(a)]. 13642 a(x,y,L(z,u,z) \ w) = a(x,y,z \ w). [para(12294(a,1),13638(a,1,3)),flip(a)]. 13643 a(x,y,R(z,u,z) \ w) = a(x,y,z \ w). [para(12339(a,1),13638(a,1,3))]. 13644 a(x,a(y,z,y) * u,w) = a(x,u,w). [hyper(236,a,13567,a,b,13641,a(flip)),flip(a)]. 13646 a(x,a(y,z,y) \ u,w) = a(x,u,w). [para(14(a,1),13644(a,1,2)),flip(a)]. 13647 a(x,R(y,z,y),u) = a(x,y,u). [para(9046(a,1),13644(a,1,2))]. 13648 a(x,T(y * z,y),u) = a(x,z * y,u). [para(9061(a,1),13644(a,1,2))]. 13649 a(x,L(y,z,y),u) = a(x,y,u). [para(9119(a,1),13646(a,1,2))]. 13650 a(x,(y \ z) * y,u) = a(x,T(z,y),u). [para(14(a,1),13648(a,1,2,1)),flip(a)]. 13651 a(x,T((y \ z) * y,u),w) = a(x,T(T(z,u),y),w). [para(4639(a,2),13650(a,1,2))]. 13652 a(x,y,z \ (u * z)) = a(x,y,(z \ u) * z). [para(463(a,1),13643(a,1,3)),flip(a)]. 13653 a(x,y,(z \ u) * z) = a(x,y,T(u,z)). [para(32(a,2),13652(a,1,3)),flip(a)]. 13654 a(x,y,a(z,u,z) \ w) != v5 | a(x,y,w) = v5. [para(13639(a,1),10967(a,1))]. 13655 a(x,y,K(z,z * u)) != w | a(x,y,K(z,u)) = w. [para(9062(a,1),13654(a,1,3))]. 13656 a(x,y,K(z \ u,z)) != w | a(x,y,K(u,z)) = w. [para(9035(a,1),13654(a,1,3))]. 13659 a(x,y,K(z,u)) != w | a(x,y,K(z,z \ u)) = w. [para(14(a,1),13655(a,1,3,2))]. 13661 a(x,y,K(z \ (u \ w),u)) != v5 | a(x,y,K(z \ w,u)) = v5. [para(10658(a,2),13656(a,1,3))]. 13662 ((x * y) * (z * a(u,w,u))) / (y * (z * a(u,w,u))) = R(R(x,y,z),y * z,a(u,w,u)). [para(12914(a,1),12929(a,1,2))]. 13663 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(13345(a,1),13349(a,1,2,2,1))]. 13665 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(4255(a,2),13663(a,1,2))]. 13668 L(x,y,z) * T(R(u,x,u),x * u) = T(T(u,u * x) * L(x,y,z),u). [para(12987(a,1),13665(a,1,2))]. 13669 T(T(x,x * y) * L(y,z,u),x) = L(y,z,u) * T(x,y). [para(759(a,1),13668(a,1,2)),flip(a)]. 13671 T(x * L(y,z,u),x * y) = L(y,z,u) * T(x,y). [hyper(236,a,4052,a(flip),b,13669,a(flip)),flip(a)]. 13672 (x * L(y,z,u)) \ (L(y,z,u) * T(x,y)) = K(x * L(y,z,u),x * y). [hyper(72,a,13671,a(flip),b,4887,a(flip))]. 13674 K(x * L(y,z,u),x * y) = K(x,y) * K(L(y,z,u),x). [hyper(9032,a,13672,a),flip(a)]. 13675 K(x * L(y,z,u),x * y) = a(u,z,K(x,y)). [hyper(236,a,11522,a(flip),b,13674,a)]. 13676 K(x,(x / L(y,z,u)) * y) = a(u,z,K(x / L(y,z,u),y)). [para(16(a,1),13675(a,1,1))]. 13677 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x / L(y,z,u),y)). [hyper(236,a,6868,a(flip),b,13676,a(flip)),flip(a)]. 13678 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(y \ x,y)). [para(11440(a,1),13677(a,2,3))]. 13679 K(x,y * (L(y,z,u) \ x)) = a(u,z,K(x,y)). [hyper(236,a,11740,a(flip),b,13678,a)]. 13681 K(x,x * (L(y,z,u) \ y)) = a(u,z,K(x,y)). [hyper(10883,a,13679,a)]. 13682 L(x,y,a(z,u,K(y,w))) = x. [para(13679(a,1),3972(a,1,3))]. 13683 L(x,y,a(z,u,K(x,w))) = x. [para(13679(a,1),7192(a,1,3))]. 13684 (a(x,y,K(z,u)) * z) * w = a(x,y,K(z,u)) * (z * w). [para(13682(a,1),103(a,1,2))]. 13685 (a(x,y,K(z,u)) * (w * z)) \ ((a(x,y,K(z,u)) * w) * (z * v5)) = L(v5,L(z,w,a(x,y,K(z,u))),a(x,y,K(z,u)) * w). [para(13683(a,1),439(a,1,2,2,1))]. 13686 (x * K(L(y,z,u) \ y,x)) \ L(x,L(y,z,u) \ y,x) = a(u,z,K(x,y)). [hyper(236,a,5785,a,b,13681,a(flip)),flip(a)]. 13687 K(x / (L(y,z,u) \ y),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). [para(16(a,1),13681(a,1,2))]. 13688 K((L(x,y,z) \ x) \ u,u) = a(z,y,K(u / (L(x,y,z) \ x),x)). [hyper(6502,a,13687,a)]. 13689 K(x * (y \ L(y,z,u)),x) = a(u,z,K(x / (L(y,z,u) \ y),y)). [hyper(10873,a,13688,a)]. 13690 K(x * (y \ L(y,z,u)),x) = a(u,z,K((y / x) \ y,y)). [para(11443(a,1),13689(a,2,3))]. 13691 K(x * (y \ L(y,z,u)),x) = a(u,z,K(x,y)). [para(65(a,1),13690(a,2,3,1))]. 13694 K(x,x * (y \ L(y,z,u))) = w / (a(u,z,K(x,y)) * w). [para(13691(a,1),5266(a,1,2,1)),flip(a)]. 13695 K(x,x * (y \ L(y,z,u))) = a(u,z,K(y,x)). [hyper(236,a,11994,a(flip),b,13694,a)]. 13696 T(x,x * (y \ L(y,z,u))) = x * a(u,z,K(y,x)). [para(13695(a,1),4887(a,2,2))]. 13697 a(x,y,K(z,u \ L(u,w,v5))) = a(x,y,a(v5,w,K(u,z))). [para(13695(a,1),12003(a,1,3)),flip(a)]. 13698 a(x,y,K(L(z,u,w) \ z,v5)) = a(x,y,a(w,u,K(z,v5))). [hyper(236,a,12009,a,b,13697,a(flip)),flip(a)]. 13699 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(13697(a,1),11840(a,1,1))]. 13700 K(a(x,y,z),u) * a(x * y,z,a(x,y,K(z,u))) = K(L(z,y,x) \ z,u). [para(13698(a,1),10202(a,1,2))]. 13701 (x * K(L(y,z,u) \ y,x)) \ L(x,a(u,z,y),x) = a(u,z,K(x,y)). [para(13355(a,1),13686(a,1,2))]. 13702 K(x,L(y,z,u) \ y) * (x \ L(x,a(u,z,y),x)) = a(u,z,K(x,y)). [hyper(5875,a,13701,a)]. 13703 x \ L(T(x,L(y,z,u) \ y),a(u,z,y),x) = a(u,z,K(x,y)). [hyper(8483,a,13702,a)]. 13704 K(L(x,y,z) \ x,u) = K(a(z,y,x),u) * 1. [para(10233(a,1),13700(a,1,2)),flip(a)]. 13705 K(L(x,y,z) \ x,u) = K(a(z,y,x),u). [hyper(236,a,12,a(flip),b,13704,a)]. 13707 K(x,L(y,z,u) \ y) = w / (K(a(u,z,y),x) * w). [para(13705(a,1),5266(a,1,2,1)),flip(a)]. 13708 K(x,L(y,z,u) \ y) = K(x,a(u,z,y)). [hyper(236,a,5266,a(flip),b,13707,a)]. 13709 T(x,L(y,z,u) \ y) = x * K(x,a(u,z,y)). [para(13708(a,1),4887(a,2,2))]. 13710 K(x,K(y,z \ L(z,u,w))) = K(x,K(y,a(w,u,z))). [para(13708(a,1),9258(a,1,2)),flip(a)]. 13711 T(x,L(y,z,u) \ y) = T(x,a(u,z,y)). [hyper(236,a,4887,a,b,13709,a)]. 13712 x \ L(T(x,a(y,z,u)),a(y,z,u),x) = a(y,z,K(x,u)). [para(13711(a,1),13703(a,1,2,1))]. 13713 K(x,x * a(y,z,u)) = a(y,z,K(x,u)). [hyper(5131,a,13712,a)]. 13714 R(R(x,y,z),y * z,a(u,w,u)) = R(x,y,z * a(u,w,u)). [hyper(475,a,13662,a),flip(a)]. 13715 R(x,y,z * a(u,w,u)) = R(x,y,z). [hyper(12934,a,13714,a)]. 13717 R(x,y,z * K(u,u \ 1)) = R(x,y,z). [para(3629(a,1),13715(a,1,3,2))]. 13718 R(x,y,R(z,u,z)) = R(x,y,z). [para(9044(a,1),13715(a,1,3))]. 13719 R(x,y,a(z,u,z) \ w) = R(x,y,w). [para(12289(a,1),13715(a,1,3)),flip(a)]. 13720 R(x,y,(z \ u) \ u) = R(x,y,T(z,u)). [para(8385(a,1),13718(a,1,3))]. 13722 R(x,y,R(z,u,z) \ w) = R(x,y,z \ w). [para(12339(a,1),13719(a,1,3))]. 13723 R(x,y \ z,T(y,z)) = R(x,y \ z,y). [hyper(236,a,10680,a(flip),b,13720,a(flip))]. 13724 (x * T(y,z)) / (K(y,z) * ((y \ z) * y)) = R(x / (y \ z),y \ z,y). [hyper(236,a,5763,a,b,13723,a(flip)),flip(a)]. 13725 R(x,y,z \ (u * z)) = R(x,y,(z \ u) * z). [para(463(a,1),13722(a,1,3)),flip(a)]. 13726 R(x,y,(z \ u) * z) = R(x,y,T(u,z)). [para(32(a,2),13725(a,1,3)),flip(a)]. 13727 (x * T(y,z)) / (K(y,z) * ((y \ z) * y)) = (x * T(y,y \ z)) / z. [hyper(236,a,10726,a(flip),b,13724,a)]. 13728 (x * T(y,z)) / ((y \ z) * T(y,z)) = (x * T(y,y \ z)) / z. [para(5513(a,1),13727(a,1,2))]. 13729 1 * K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). [para(10234(a,1),13699(a,1,1))]. 13730 K(x,L(y \ L(y,z,u),y,w)) = K(x,y \ L(y,z,u)). [hyper(76,a,13729,a)]. 13732 K(x,a(y,z,u) \ 1) = K(x,u \ L(u,z,y)). [hyper(236,a,6555,a(flip),b,13730,a(flip)),flip(a)]. 13734 K(x,y \ L(y,y \ 1,z)) = 1. [hyper(236,a,11933,a(flip),b,13732,a(flip))]. 13735 x * K(x,y \ L(y,z,u)) = T(x,a(u,z,y) \ 1). [para(13732(a,1),4887(a,2,2)),flip(a)]. 13736 T(x,y \ L(y,y \ 1,z)) = x. [hyper(37,a,13734,a)]. 13737 ((x \ L(x,x \ 1,y)) \ z) * (x \ L(x,x \ 1,y)) = z. [hyper(2260,a,13736,a)]. 13738 x / (y \ L(y,y \ 1,z)) != u | (y \ L(y,y \ 1,z)) \ x = u. [para(13736(a,1),280(a,1))]. 13739 T(x,a(y,z,u) \ 1) = T(x,u \ L(u,z,y)). [hyper(4890,a,13735,a),flip(a)]. 13740 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,x * (u \ L(u,z,y))). [para(13739(a,2),595(a,1,1))]. 13741 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = x * a(y,z,K(u,x)). [hyper(236,a,13696,a(flip),b,13740,a)]. 13745 K(x,(y / (y / T(z / u,z))) * ((u \ z) \ w)) = K(x,K(T(z / u,z) \ y,u \ z) * w). [para(7271(a,1),13212(a,1,2,1)),flip(a)]. 13746 K(x,(y / (y / T(z / u,z))) * ((u \ z) \ w)) = K(x,K((u \ z) \ y,u \ z) * w). [para(13386(a,1),13745(a,2,2,1))]. 13747 K(x,(y / (y / T(z / u,z))) * ((u \ z) \ w)) = K(x,K(z \ (u * y),u \ z) * w). [para(10652(a,1),13746(a,2,2,1))]. 13748 x \ T(x * (y \ R(y,z,u)),x) = T(y \ R(y,z,u),x). [para(14(a,1),13282(a,1,1,2,1)),flip(a)]. 13749 T(x \ R(x,y,z),u) \ (u \ (u * (x \ R(x,y,z)))) = a(K(u,x),y * x,z). [para(13748(a,1),13615(a,1,1))]. 13750 T(x \ R(x,y,z),u) \ (x \ R(x,y,z)) = a(K(u,x),y * x,z). [para(13(a,1),13749(a,1,2))]. 13751 a(K(x,y),z * y,u) = K(x,y \ R(y,z,u)). [hyper(4920,a,13750,a),flip(a)]. 13753 a(K(x,K(y,z)),u * y,w) = K(x,K(z,y \ R(y,u,w))). [para(13751(a,1),12583(a,2,2))]. 13754 K(x,K(y,z \ R(z,u,w))) = a(K(z,K(x,y)),u,w). [hyper(236,a,12897,a(flip),b,13753,a(flip))]. 13755 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(z,K(x,y)),u,w). [hyper(236,a,9562,a,b,13754,a(flip)),flip(a)]. 13756 K(x,K(y,R(z,u,w) * (z \ y))) = a(K(x,K(y,z)),u,w). [para(7923(a,2),13755(a,2,1))]. 13757 K(x,K(y,R(z,u,w) \ z)) = a(K(x,K(y,z)),u,w). [hyper(9693,a,13756,a)]. 13758 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(R(y,z,u),z)),w,v5). [hyper(236,a,10124,a(flip),b,13757,a(flip)),flip(a)]. 13759 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,R(y,z,u))),w,v5). [para(7937(a,1),13758(a,2,1))]. 13760 K(x,K(y,(z * u) / (R(z,w,v5) * u))) = a(K(x,K(z,y)),w,v5). [para(9421(a,1),13759(a,2,1))]. 13761 K(x,K(R(y,z,u) \ y,R(w,y,v5))) = a(K(x,K(y,w)),z,u). [hyper(10169,a,13760,a)]. 13764 K(x,K(a(y,z,u),T(w,y * (z * u)))) = a(K(x,K(y,w)),z,u). [hyper(236,a,10474,a(flip),b,13761,a(flip)),flip(a)]. 13766 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(10889,a,13272,a)]. 13767 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(236,a,13352,a(flip),b,13766,a(flip)),flip(a)]. 13768 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),13767(a,1,2,2))]. 13769 a(x,(y \ L(y,z,u)) * K(w,w \ 1),x) = a(x,K(w,w \ 1) / a(u,z,y),x). [para(4756(a,1),13768(a,1,2))]. 13770 a(x,y \ L(y,z,u),x) = a(x,K(w,w \ 1) / a(u,z,y),x). [hyper(10969,a,13769,a)]. 13771 a(x,a(y,z,u) \ K(w,w \ 1),x) = a(x,u \ L(u,z,y),x). [hyper(236,a,12919,a(flip),b,13770,a),flip(a)]. 13772 a(x,a(y,z,u) \ 1,x) = a(x,u \ L(u,z,y),x). [para(149(a,1),13771(a,1,2,2))]. 13773 (((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(13772(a,1),11734(a,1,1,2))]. 13774 (T((x \ y) * z,y \ x) * (((x \ y) * z) \ z)) \ u = K(z \ ((x \ y) \ z),z * (x \ y)) * (z \ u). [para(7695(a,1),13041(a,2,1))]. 13775 L(a(x,y,x) \ z,a(x,y,x),L(u / a(x,y,x),w,v5)) = L(u,w,v5) \ (L(a(x,y,x) \ u,w,v5) * z). [para(12293(a,1),13341(a,2,2,1,1))]. 13776 (T((x \ y) * z,y \ x) * (((x \ y) * z) \ z)) \ u = K((x \ y) \ 1,(x \ y) * z) * (z \ u). [para(13027(a,1),13774(a,2,1))]. 13777 (T((x \ y) * z,y \ x) * (((x \ y) * z) \ z)) \ u = K(y \ x,(x \ y) * z) * (z \ u). [para(6269(a,1),13776(a,2,1))]. 13778 (K((x \ y) * z,y \ x) * z) \ u = K(y \ x,(x \ y) * z) * (z \ u). [para(4857(a,1),13777(a,1,1))]. 13779 (x * K(x * (y \ z),z \ y)) \ u = K(z \ y,(y \ z) * x) * (x \ u). [para(13404(a,1),13778(a,1,1))]. 13780 L(a(x,y,x) \ z,a(x,y,x),L(R(x,y,x) / a(x,y,x),u,w)) = L(R(x,y,x),u,w) \ (L(x,u,w) * z). [para(9048(a,1),13775(a,2,2,1,1))]. 13781 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),13229(a,1,2,2,2)),flip(a)]. 13782 (1 / ((x * y) \ x)) * (z / (L(1 / y,y,x) \ 1)) = z * K(1 / (1 / y),z * ((x * y) \ x)). [para(65(a,1),13231(a,2,2,2,2,1,2))]. 13783 (1 / ((x * y) \ x)) * (z / (L(1 / y,y,x) \ 1)) = z * K(y,z * ((x * y) \ x)). [para(3245(a,1),13782(a,2,2))]. 13784 L(R(x,y,x),z,u) \ (L(x,z,u) * w) = a(x,y,x) \ w. [hyper(12956,a,13780,a)]. 13786 a(x,y,x) \ (L(x,z,u) \ w) = L(R(x,y,x),z,u) \ w. [para(14(a,1),13784(a,1,2)),flip(a)]. 13787 L(R(x,y,x),z,u) \ R(x,w,v5) = L(x,z,u) \ L(R(x,w,v5),y,x). [hyper(236,a,13278,a(flip),b,13786,a(flip))]. 13788 L(R(R(x,y,x),z,R(x,y,x)),y,x) \ R(R(x,y,x),u,w) = x \ L(R(R(x,y,x),u,w),z,R(x,y,x)). [para(4226(a,1),13787(a,2,1))]. 13789 L(R(R(x,y,x),z,x),y,x) \ R(R(x,y,x),u,w) = x \ L(R(R(x,y,x),u,w),z,R(x,y,x)). [para(13718(a,1),13788(a,1,1,1))]. 13790 x \ L(R(R(x,y,x),z,u),w,R(x,y,x)) = R(x,w,x) \ R(R(x,y,x),z,u). [para(4232(a,1),13789(a,1,1)),flip(a)]. 13793 R(x,y,x) \ R(R(x,z,x),u,w) = x \ L(R(R(x,z,x),u,w),y,x). [para(13490(a,1),13790(a,1,2)),flip(a)]. 13794 R(x,y,x) \ R(R(x,y,x),z,u) = x \ R(x,z,u). [para(4232(a,1),13793(a,2,2))]. 13796 (x \ R(x,y,z)) * R(x,u,x) = R(R(x,u,x),y,z). [para(13794(a,1),3690(a,1,1))]. 13797 R(R(x,y,x),z,u) / R(x,z,u) = a(x,y,x). [hyper(74,a,13796,a(flip),b,12333,a(flip))]. 13798 R(x,y,z) \ R(R(x,y,z),u,x) = a(x,u,x). [hyper(236,a,3693,a(flip),b,13797,a(flip)),flip(a)]. 13799 (x * R(R(y,z,u),w,y)) / L(R(y,z,u),a(y,w,y),x) = x * (R(R(y,z,u),w,y) / R(y,z,u)). [para(13798(a,1),10740(a,1,2,2))]. 13800 (x * R(R(y,z,u),w,y)) / R(y,z,u) = x * (R(R(y,z,u),w,y) / R(y,z,u)). [para(12951(a,1),13799(a,1,2))]. 13801 (x * R(R(y,z,u),w,y)) / R(y,z,u) = x * (R(y,z,u) \ R(R(y,z,u),w,y)). [para(3688(a,1),13800(a,2,2))]. 13803 (x * R(R(y,z,u),w,y)) / R(y,z,u) = x * a(y,w,y). [para(13798(a,1),13801(a,2,2))]. 13805 L(x,y,(K(z \ u,z) \ ((w \ (K(z \ u,z) * v5)) * w)) * K(u,z)) = L(x,y,T(v5 * K(z \ u,z),w)). [hyper(236,a,13510,a(flip),b,13539,a)]. 13806 T(K(x,y) * (x * T(z,T(x,y))),T(u,x * T(z,T(x,y)))) = (T(x,y) * T(z,T(x,y))) * K(K(x,y) * (z * x),u). [para(4906(a,1),13437(a,2,1))]. 13807 T(K(x,y) * (x * T(z,T(x,y))),T(u,x * T(z,T(x,y)))) = (z * T(x,y)) * K(K(x,y) * (z * x),u). [para(119(a,1),13806(a,2,1))]. 13808 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = (K(u * z,u) * y) \ (K(u * z,u) * (y * x)). [para(12281(a,1),12814(a,2,1))]. 13810 L(L(x,y,K(z,u)),K(z,u) * y,R(a(u,z,u),K(z,u),y * x)) = L(x,y,K(u * z,u)). [hyper(236,a,28,a,b,13808,a)]. 13811 L(L(x,y,K(z,u)),K(z,u) * y,a(u,z,u)) = L(x,y,K(u * z,u)). [para(12803(a,1),13810(a,1,3))]. 13813 L(x,y,K(z * u,z)) != w | L(x,y,K(u,z)) = w. [para(13811(a,1),12826(a,1)),flip(b)]. 13816 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(10110(a,1),13201(a,1,2,2)),flip(a)]. 13819 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(236,a,6767,a(flip),b,12904,a)]. 13820 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(10397(a,1),12924(a,1,1))]. 13822 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(5699(a,1),13450(a,1,1))]. 13823 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),13822(a,1,2,2,1,2))]. 13825 K(x / y,z) * T(z,T((y / x) \ z,x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(8953(a,1),13823(a,1,2))]. 13826 K(x / y,z) * T(z,T(z * (x / y),x / y)) = L(z,(x / y) * ((x / y) \ ((y / x) \ 1)),z). [para(13551(a,1),13825(a,1,2))]. 13827 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = K(y / z,x) * T(x,x * (y / z)). [para(7533(a,1),13826(a,1,2)),flip(a)]. 13828 L(x,(y / z) * ((y / z) \ ((z / y) \ 1)),x) = L(x,y / z,x). [hyper(236,a,5181,a(flip),b,13827,a)]. 13829 L(x,y / z,x) = L(x,z \ y,x). [hyper(236,a,12075,a(flip),b,13828,a(flip))]. 13831 L(x,(y \ z) \ z,x) = L(x,y,x). [para(62(a,1),13829(a,1,2)),flip(a)]. 13832 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,(y * (z * u)) \ ((y * z) * u),x). [para(3696(a,2),13829(a,1,2))]. 13833 L(x,R(y * K(z,y),z,u),x) = L(x,(z * u) \ ((z * y) * u),x). [para(5032(a,2),13829(a,1,2))]. 13836 L(x,y * K(z,y),x) = L(x,y,x). [para(5824(a,1),13831(a,1,2)),flip(a)]. 13837 L(x,R(y * K(z,y),u,w),x) = L(x,R(y,u,w),x). [para(5658(a,1),13836(a,1,2))]. 13838 L(x,(y * z) \ ((y * u) * z),x) = L(x,R(u,y,z),x). [hyper(236,a,13837,a(flip),b,13833,a(flip))]. 13840 L(x,R(y,z,u),x) = L(x,z \ (z * y),x). [hyper(236,a,13280,a(flip),b,13838,a(flip))]. 13842 L(x,R(y,z,u),x) = L(x,y,x). [para(13(a,1),13840(a,2,2))]. 13843 L(x,R(y \ R(y,z,u),y,z * u),x) = L(x,a(y,z,u),x). [para(24(a,2),13832(a,2,2))]. 13844 L(x,y \ R(y,z,u),x) = L(x,a(y,z,u),x). [hyper(236,a,13842,a(flip),b,13843,a(flip)),flip(a)]. 13846 (x * K(y \ R(y,z,u),x)) \ L(x,a(y,z,u),x) = a(K(x,y),z * y,u). [para(13844(a,1),13614(a,1,2))]. 13847 K(x,y \ R(y,z,u)) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [hyper(5875,a,13846,a)]. 13848 a(K(x,y),z * y,u) * (x \ L(x,a(y,z,u),x)) = a(K(x,y),z * y,u). [para(13751(a,2),13847(a,1,1))]. 13849 a(x,a(y,z,u),x) \ a(K(x,y),z * y,u) = a(K(x,y),z * y,u). [hyper(12352,a,13848,a)]. 13850 a(x,a(y,z,u),x) = 1. [hyper(73,a,13849,a,b,14,a),flip(a)]. 13851 L(x,a(y,z,u),x) = x. [hyper(33,a,13850,a)]. 13852 a(x,a(y,z,u),x) \ w = w. [para(13850(a,2),50(a,1,1))]. 13853 T(x / a(y,z,u),x) = a(y,z,u) \ x. [hyper(11090,a,13851,a)]. 13854 a(x,y,z) \ T(u,a(x,y,z) \ u) = u / a(x,y,z). [hyper(236,a,11092,a(flip),b,13851,a(flip))]. 13855 T(x * a(y,z,u),x) = a(y,z,u) * x. [para(13851(a,1),4245(a,1,1,1))]. 13856 K(x,x * a(y,z,u)) = K(x,a(y,z,u)). [hyper(9063,a,13852,a)]. 13859 (x / a(y,z,u)) \ (a(y,z,u) \ x) = K(a(y,z,u) \ x,x). [hyper(72,a,13853,a(flip),b,6290,a)]. 13860 T(x * (1 / a(y,z,u)),R(x,a(y,z,u) \ 1,a(y,z,u))) = a(y,z,u) \ R(x,a(y,z,u) \ 1,a(y,z,u)). [para(2805(a,1),13853(a,1,1))]. 13861 (a(x,y,z) * u) \ T(T(u,w) * a(x,y,z),T(u,w)) = K(u,w). [hyper(72,a,13855,a,b,6201,a)]. 13862 T(T(x * a(y,z,u),w),x) = T(a(y,z,u) * x,w). [para(13855(a,1),38(a,1,1)),flip(a)]. 13863 a(x,y,K(z,u)) = K(z,a(x,y,u)). [hyper(236,a,13713,a(flip),b,13856,a(flip)),flip(a)]. 13864 x * a(y,z,K(x,u)) = T(x,a(y,z,u)). [para(13863(a,2),4887(a,2,2)),flip(a)]. 13865 a(x,y,K(z,u)) * z = T(z,a(x,y,u)). [para(13863(a,2),4897(a,2,1)),flip(a)]. 13866 x * a(y,z,K(x,u)) != w | T(x,a(y,z,u)) = w. [para(13863(a,2),4890(a,1,2))]. 13867 (x * y) * a(z,u,K(y,w)) != v5 | x * T(y,a(z,u,w)) = v5. [para(13863(a,2),6258(a,1,2))]. 13868 K(x,y) * K(y,a(z,u,x)) = K(x,L(y,u,z)). [para(13863(a,1),11482(a,1,2))]. 13869 K(x,a(y,z,u)) * K(u,x) = K(u,L(x,z,y)). [para(13863(a,1),11513(a,1,1))]. 13870 K(a(x,y,z),u) * K(z,L(u,y,x)) = K(z,u). [hyper(5285,a,13869,a)]. 13871 a(x,y,K(z,u)) = K(a(x,y,z),u). [hyper(11524,a,13870,a)]. 13872 K(L(x,y,z) \ x,u) = a(z,y,K(x,u)). [hyper(236,a,13705,a,b,13871,a),flip(a)]. 13873 a(x,y,z) \ T(a(x,y,z),u) = a(x,y,K(z,u)). [hyper(236,a,4829,a(flip),b,13871,a),flip(a)]. 13874 K(a(x,y,z),z) = 1. [hyper(236,a,333,a(flip),b,13871,a(flip))]. 13875 a(x,y,z) * a(x,y,K(z,u)) = T(a(x,y,z),u). [para(13871(a,2),4887(a,2,2)),flip(a)]. 13876 a(x,y,K(z,u)) * a(x,y,z) = T(a(x,y,z),u). [para(13871(a,2),4897(a,2,1)),flip(a)]. 13877 a(x,y,K(z,u)) * (u \ w) = T(u,a(x,y,z)) \ w. [para(13871(a,2),5204(a,1,1))]. 13878 x * a(y,z,K(u,x)) != w | (a(y,z,u) * x) / a(y,z,u) = w. [para(13871(a,2),5058(a,1,2))]. 13879 (a(x,y,z) \ u) * a(x,y,K(z,a(x,y,z) \ u)) != w | u / a(x,y,z) = w. [para(13871(a,2),5320(a,1,2))]. 13880 T(a(x,y,z),z) = a(x,y,z). [hyper(37,a,13874,a)]. 13881 T(x,a(y,z,x)) = x. [hyper(35,a,13880,a)]. 13882 (L(x,y,z) \ x) * (u / (L(x,y,z) \ x)) = u * a(z,y,K(x,L(x,y,z) * (x \ u))). [para(13872(a,1),10774(a,1,2)),flip(a)]. 13883 a(x,y,K(z,u)) != w | K(a(x,y,z),u) = w. [para(13873(a,1),4956(a,1))]. 13884 T(a(x,y \ 1,y),z) = a(x,y \ 1,y). [hyper(10193,a,13875,a)]. 13885 T(a(x,y,y \ 1),z) = a(x,y,y \ 1). [hyper(10191,a,13875,a)]. 13886 a(x,y,z) \ T(a(x,y,z),u) != w | a(x,y,K(z,u)) = w. [para(13875(a,1),283(a,1,2)),flip(b)]. 13887 T(a(x,y,z),L(y,u,w)) = a(x,y,z) * 1. [para(8538(a,1),13875(a,1,2)),flip(a)]. 13891 (a(x,y,y \ 1) \ z) \ z = a(x,y,y \ 1). [hyper(4153,a,13885,a)]. 13892 K(x,a(y,z,z \ 1)) = 1. [hyper(73,a,13885,a,b,4845,a),flip(a)]. 13893 T(x,a(y,z,z \ 1)) = x. [hyper(35,a,13885,a)]. 13894 a(x,y,y \ 1) * z = z * a(x,y,y \ 1). [para(13885(a,1),119(a,1,2)),flip(a)]. 13895 (a(x,y,y \ 1) \ z) * a(x,y,y \ 1) = z. [para(13885(a,1),165(a,1,2))]. 13896 x / a(y,z,z \ 1) = a(y,z,z \ 1) \ x. [para(13885(a,1),197(a,1,2))]. 13898 T(x * (a(y,z,z \ 1) / x),u) = x * (a(y,z,z \ 1) / x). [para(13885(a,1),4615(a,2,2,1))]. 13900 T(x,y \ (z * ((y \ z) \ 1))) = x. [para(687(a,1),13893(a,1,2))]. 13901 x / (y \ (z * ((y \ z) \ 1))) = (y \ (z * ((y \ z) \ 1))) \ x. [hyper(2346,a,13900,a),flip(a)]. 13902 T(a(x,y,z),L(y,u,w)) != v5 | a(x,y,z) = v5. [para(13887(a,2),83(a,1)),flip(b)]. 13903 (a(x,y,y \ 1) * z) \ (z * (u * a(x,y,y \ 1))) = L(T(u,a(x,y,y \ 1)),a(x,y,y \ 1),z). [para(13894(a,2),178(a,1,1))]. 13905 T(a(x,y,z),y) = a(x,y,z). [hyper(13902,a,10711,a),flip(a)]. 13906 T(x,a(y,z,u) \ x) = a(y,z,u) * (x / a(y,z,u)). [para(13854(a,1),14(a,1,2)),flip(a)]. 13907 K(a(x,y,z),u) != w | a(x,y,K(z,u)) = w. [para(4829(a,2),13886(a,1))]. 13908 K(a(x,y,z) \ u,a(x,y,z)) = K(a(x,y,z) \ u,u). [hyper(5128,a,13859,a)]. 13909 (a(x,y,y \ 1) * z) \ (z * (u * a(x,y,y \ 1))) = L(u,a(x,y,y \ 1),z). [para(13893(a,1),13903(a,2,1))]. 13910 T(x * (a(y,z,u) \ 1),R(x,a(y,z,u) \ 1,a(y,z,u))) = a(y,z,u) \ R(x,a(y,z,u) \ 1,a(y,z,u)). [para(12738(a,1),13860(a,1,1,2))]. 13911 (((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(1578(a,1),13773(a,2,1))]. 13912 (((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(236,a,12927,a(flip),b,13911,a)]. 13914 ((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(11408(a,1),13912(a,1,1))]. 13915 L(T(x,a(y,z,u) \ 1),u \ L(u,z,y),x) = T(x,a(y,z,u) \ x). [hyper(236,a,12051,a(flip),b,13914,a(flip)),flip(a)]. 13916 T(x,a(y,z,u) \ x) = x * a(y,z,K(u,x)). [hyper(236,a,13741,a(flip),b,13915,a(flip))]. 13917 K(x,a(y,z,u) \ x) = a(y,z,K(u,x)). [hyper(4954,a,13916,a)]. 13918 T(T(x,a(y,z,u) \ x),u) = T(x,L(u,z,y)). [para(13916(a,2),11606(a,1,1))]. 13919 T(T(x,a(y,z,u) \ x),x * u) = T(x,L(u * x,z,y)). [para(13916(a,2),11865(a,1,1))]. 13920 K(a(x,y,z) \ u,u) * (w * ((a(x,y,z) \ u) * a(x,y,K(z,u)))) = T(w * (a(x,y,z) \ u),K(a(x,y,z) \ u,u)). [para(13917(a,1),8195(a,1,2,2,2))]. 13921 T(T(x,y),a(z,u,y) \ x) = T(x,L(y,u,z)). [hyper(417,a,13918,a)]. 13922 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(4525(a,1),13921(a,1,1))]. 13923 T(T(x,x * y),a(z,u,y) \ x) = T(x,L(y * x,u,z)). [hyper(417,a,13919,a)]. 13924 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(11936(a,1),13922(a,1,2,1))]. 13925 T(x,L(y * (z * (1 / u)),w,v5)) = T(x,L(y * (z * (u \ 1)),w,v5)). [hyper(236,a,13921,a(flip),b,13924,a(flip))]. 13926 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(4485(a,1),6915(a,1,2,1)),flip(a)]. 13927 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(2581(a,1),13926(a,2,2,2))]. 13929 (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(4760(a,1),10243(a,1,2,1,2,2,2))]. 13930 (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(4511(a,1),13929(a,1,2,1,2,2))]. 13931 (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(7919(a,1),13930(a,1,2,1))]. 13932 (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(9577(a,1),13931(a,1,2,1,2))]. 13933 (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(7445(a,1),13932(a,1,2,1,2))]. 13935 (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(9262(a,1),13933(a,1,2,1))]. 13936 (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(4760(a,1),13935(a,1,2,2,1,2,1,2,2))]. 13937 (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(4511(a,1),13936(a,1,2,2,1,2,1,2))]. 13938 (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(7886(a,1),13937(a,1,2,2,1,2))]. 13939 (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(10250(a,1),13938(a,1,2,2,1,2,2))]. 13940 (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(7304(a,1),13939(a,1,2,2,1,2,2))]. 13942 (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(9247(a,1),13940(a,1,2,2,1,2))]. 13943 (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(4870(a,1),13942(a,1,2,2,1))]. 13944 (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(9670(a,2),13943(a,1,2))]. 13945 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(236,a,9662,a(flip),b,13944,a(flip)),flip(a)]. 13946 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(1337(a,1),13945(a,1,2)),flip(a)]. 13947 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(236,a,7965,a(flip),b,13946,a)]. 13948 T(x,K(y,z)) \ L(T(x,K(y,z)),u,w) = T(x \ L(x,u,w),K(y,z)). [para(1051(a,1),13947(a,1,1)),flip(a)]. 13949 T((x \ 1) * L((x \ 1) \ 1,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [hyper(236,a,12219,a,b,13948,a(flip)),flip(a)]. 13950 T(x \ L(x,y,z),K(u,w * x)) = T(x \ L(x,y,z),K(u,w)). [para(1051(a,1),13949(a,1,1))]. 13951 (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(13950(a,1),12615(a,1,2))]. 13952 K(x \ L(x,y,z),K(u * x,w)) = K(x \ L(x,y,z),K(u,w)). [hyper(12616,a,13951,a),flip(a)]. 13953 K(x \ L(x,y,z),K(u * x,w)) = K(u,K(w,x \ L(x,y,z))). [hyper(236,a,7923,a,b,13952,a)]. 13955 K(x,K(y * z,y \ L(y,u,w))) = K(z,K(x,y \ L(y,u,w))). [hyper(236,a,12203,a(flip),b,13953,a(flip)),flip(a)]. 13956 K(x,K(y * z,y \ L(y,u,w))) = K(x,K(z,y \ L(y,u,w))). [hyper(236,a,7919,a,b,13955,a)]. 13957 K(x,K(y * z,z \ L(z,u,w))) = K(x,K(y,z \ L(z,u,w))). [hyper(12205,a,13956,a)]. 13958 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,u \ L(u,z,y))). [hyper(236,a,13781,a,b,13957,a(flip)),flip(a)]. 13959 K(x,K(y * (z * u),a(y,z,u) * (y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(236,a,13710,a(flip),b,13958,a)]. 13960 K(x,K(a(y,z,u),y * (z * u))) = K(x,K(y * z,a(y,z,u))). [hyper(9217,a,13959,a)]. 13961 K(x,K(y * z,a(y,z,u))) != w | K(x,K(a(y,z,u),y * (z * u))) = w. [para(13959(a,1),9217(a,1))]. 13962 K(x,K(a(y,z,u),(y * z) * u)) = K(x,K(y * z,a(y,z,u))). [hyper(9372,a,13960,a)]. 13963 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(236,a,12663,a,b,13962,a(flip)),flip(a)]. 13964 K(x,K(a(y,z,u),T((y * z) * u,y * (z * u)))) = K(x,K(y * z,a(y,z,u))). [hyper(9471,a,13963,a)]. 13965 a(K(x,K(y,(y * z) * u)),z,u) = K(x,K(y * z,a(y,z,u))). [hyper(236,a,13764,a(flip),b,13964,a(flip)),flip(a)]. 13966 K(x,K(y * z,a(y,z,u))) = a(K(y,K(x,z * u)),z,u). [para(9377(a,1),13965(a,1,1)),flip(a)]. 13967 K(x,K(y * z,a(y,z,u))) = 1. [hyper(236,a,12181,a(flip),b,13966,a)]. 13968 K(x,K(a(y,z,u),y * (z * u))) = 1. [hyper(13961,a,13967,a)]. 13971 K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)) * 1. [para(13968(a,1),9941(a,1,2)),flip(a)]. 13972 K(x,((y * z) * u) / (y * (z * u))) = K(x,a(y,z,u)). [hyper(236,a,12,a(flip),b,13971,a)]. 13974 R(K(x,y \ R(y,z,u)),R(y,z,u),z * u) = K(x,a(y,z,u)). [hyper(236,a,9519,a,b,13972,a(flip)),flip(a)]. 13975 R(a(K(x,y),z * y,u),R(y,z,u),z * u) = K(x,a(y,z,u)). [para(13751(a,2),13974(a,1,1))]. 13976 a(K(x,R(y,R(y,z,u),z * u)),z * y,u) = K(x,a(y,z,u)). [hyper(236,a,13633,a,b,13975,a(flip)),flip(a)]. 13977 a(K(x,y),z * y,u) = K(x,a(y,z,u)). [hyper(236,a,13635,a(flip),b,13976,a(flip)),flip(a)]. 13980 K(x,a(y,z,u)) != w | a(K(x,y),z,u) = w. [para(13977(a,1),12899(a,1))]. 13981 a(K(x,y),z,u) = a(y,z,K(x,u)). [hyper(13980,a,13863,a(flip))]. 13984 a(K(x,y),z,z) = 1. [hyper(236,a,7744,a(flip),b,13981,a)]. 13985 (T(x,x \ y) * a(z,u,K(w,v5))) \ ((x \ y) \ y) = a(K(z,w),u,v5). [para(13981(a,1),12554(a,1,1,2))]. 13986 L(x,x,K(y,z)) = x. [hyper(33,a,13984,a)]. 13987 a(K(x,y),z,u) = a(x,z,K(u,y)). [hyper(236,a,10227,a(flip),b,13985,a(flip))]. 13988 a(K(a(x,y,z),u),w,v5) = a(a(x,y,z),K(v5,u),w). [hyper(236,a,47,a,b,13987,a)]. 13989 a(K(x,y),z,u) = K(u,a(x,z,y)). [hyper(236,a,13863,a(flip),b,13987,a)]. 13990 a(x,y,K(z,u)) = a(u,y,K(x,z)). [hyper(236,a,13981,a(flip),b,13987,a(flip))]. 13991 (K(x,y) * (z * u)) * a(x,z,K(u,y)) = (K(x,y) * z) * u. [para(13987(a,1),91(a,1,2))]. 13992 ((K(x,y) * z) * u) / a(x,z,K(u,y)) = K(x,y) * (z * u). [para(13987(a,1),135(a,1,2))]. 13993 a(K(x,T(y,z)),u,w) = a(T(x,z),u,K(w,y)). [para(7260(a,1),13987(a,1,1))]. 13994 a(K(x,L(y,z,u)),w,v5) = a(L(x,z,u),w,K(v5,y)). [para(11533(a,1),13987(a,1,1))]. 13995 a(x,y,K(z,u)) = K(u,a(z,y,x)). [hyper(236,a,13981,a(flip),b,13989,a(flip)),flip(a)]. 13996 a(x,y,K(z,u)) = K(a(z,y,u),x). [hyper(13883,a,13990,a),flip(a)]. 13997 a(x,y,K(z,z \ u)) = a(u,y,K(x,z)). [hyper(13659,a,13990,a)]. 13998 a(x * y,z,K(u,x)) = a(u,z,K(x,y)). [hyper(13655,a,13990,a),flip(a)]. 13999 K(x,y) * K(y,L(x,z,u)) = a(y,z,K(u,x)). [hyper(11529,a,13990,a)]. 14000 K(x,L(y,z,u)) * K(y,x) = a(x,z,K(u,y)). [hyper(11518,a,13990,a)]. 14001 a(x,y,K(z,u \ 1)) = a(u,y,K(z,x)). [hyper(236,a,12008,a,b,13990,a),flip(a)]. 14002 a(x,y,K(y \ z,u)) = a(u,z,K(x,y \ z)). [hyper(236,a,11563,a,b,13990,a)]. 14004 a(x,y,K(z,u)) = K(x,a(u,y,z)). [hyper(236,a,13863,a(flip),b,13990,a)]. 14005 a(x \ y,z,K(u,w)) = a(w,z,K(u,y \ x)). [hyper(236,a,12009,a(flip),b,13990,a)]. 14006 a(x \ 1,y,K(z,u)) = a(u,y,K(z,x)). [hyper(236,a,12007,a(flip),b,13990,a)]. 14007 a(x * y,z,K(y,u)) = a(u,z,K(x,y)). [hyper(236,a,11743,a(flip),b,13990,a)]. 14008 a(x,x \ 1,K(y,z)) = 1. [hyper(236,a,10190,a(flip),b,13990,a)]. 14009 x * a(y,z,K(u,w)) = x * a(w,z,K(y,u)). [hyper(21,a,13990,a)]. 14010 a(x,y,K(z \ 1,u)) = a(z,y,K(x,u)). [hyper(236,a,12007,a,b,13990,a(flip)),flip(a)]. 14011 a(x,y,K(z \ u,u)) = a(z,y,K(x,u)). [hyper(236,a,12006,a,b,13990,a(flip)),flip(a)]. 14012 a(x,y,K(z \ (u \ w),u)) = a(u,y,K(x,z \ w)). [hyper(236,a,11746,a,b,13990,a(flip)),flip(a)]. 14013 a(x,y,K(z,y * x)) = 1. [hyper(236,a,10859,a(flip),b,13990,a(flip))]. 14014 a(x,y,K(z,K(u,w))) = a(u,y,K(x,K(z,w))). [para(7935(a,1),13990(a,1,3))]. 14015 K(x,y) * a(y,z,K(x,u)) = L(K(x,y),z,u). [para(13990(a,2),10179(a,1,2))]. 14016 K(x,y) * (L(K(y,x),z,u) * w) = a(y,z,K(u,x)) * w. [para(13990(a,1),10185(a,2,1))]. 14017 K(x,y) * a(x,z,K(u,y)) = K(x,L(y,z,u)). [para(13990(a,1),11482(a,1,2))]. 14018 K(x,y) * a(y,z,K(x,u)) = K(x,L(y,z,u)). [para(13990(a,2),11482(a,1,2))]. 14019 K(x,L(y,z,u)) * a(y,z,K(u,x)) = K(x,y). [para(13990(a,1),11503(a,1,2))]. 14020 a(x,y,K(z,u)) * K(x,u) = K(x,L(u,y,z)). [para(13990(a,1),11513(a,1,1))]. 14021 a(x,y,K(z,u)) * K(z,x) = K(z,L(x,y,u)). [para(13990(a,2),11513(a,1,1))]. 14022 K(x,y) * a(x,z,K(u,y)) != w | K(x,L(y,z,u)) = w. [para(13990(a,1),11519(a,1,2))]. 14023 K(x,y) * a(y,z,K(x,u)) != w | K(x,L(y,z,u)) = w. [para(13990(a,2),11519(a,1,2))]. 14025 a(x,y,K(z,u)) * K(x,u) != w | K(x,L(u,y,z)) = w. [para(13990(a,1),11530(a,1,1))]. 14026 a(x,y,K(z,u)) \ w = a(z,y,K(x,u)) * w. [para(13990(a,1),11993(a,1,1))]. 14027 a(x,y,K(z,u)) \ w = a(u,y,K(z,x)) * w. [para(13990(a,2),11993(a,1,1))]. 14028 a(x,y,K(z,u)) * (a(u,y,K(z,x)) * w) = w. [para(13990(a,2),11995(a,1,1))]. 14029 a(x,y,K(z,u)) * (a(u,y,K(z,x)) * w) != v5 | v5 = w. [para(13990(a,2),11997(a,1,1))]. 14030 a(x,y,K(z,u)) * w != v5 | a(u,y,K(z,x)) * v5 = w. [para(13990(a,2),11999(a,1,1))]. 14031 a(x \ (y \ z),u,K(y,w)) != v5 | a(w,u,K(x \ z,y)) = v5. [para(13990(a,2),13661(a,1))]. 14032 x * a(y,z,K(u,x)) = T(x,a(u,z,y)). [para(13990(a,1),13864(a,1,2))]. 14033 x * a(x,y,K(z,u)) = T(x,a(u,y,z)). [para(13990(a,2),13864(a,1,2))]. 14034 a(x,y,K(z,u)) * x = T(x,a(u,y,z)). [para(13990(a,2),13865(a,1,1))]. 14036 a(x,y,K(z,u)) != w | K(a(z,y,u),x) = w. [para(13990(a,1),13883(a,1))]. 14037 T(x,a(y,z,u) \ x) = x * a(x,z,K(y,u)). [para(13990(a,1),13916(a,2,2))]. 14038 L(K(x,y),z \ 1,z) = K(x,y). [hyper(33,a,14008,a)]. 14039 a(x,y,K(z,x * y)) = 1. [para(13030(a,1),14013(a,1,3))]. 14040 a(x,x \ y,K(z,y)) = 1. [para(14(a,1),14039(a,1,3,2))]. 14041 L(K(x,y),z \ y,z) = K(x,y). [hyper(33,a,14040,a)]. 14042 K(x,L(y,z \ 1,z)) = K(x,y). [hyper(11589,a,14038,a)]. 14043 K((x * y) \ 1,z) = K(y \ (x \ 1),z). [hyper(6731,a,14038,a)]. 14044 L(K(x,y),z \ 1,z) = u \ (u * K(x,y)). [hyper(236,a,13,a,b,14038,a)]. 14046 (x \ 1) * K(y,z) = x \ K(y,z). [hyper(72,a,14038,a(flip),b,188,a),flip(a)]. 14048 K(x,L(y,z \ y,z)) = K(x,y). [hyper(11589,a,14041,a)]. 14049 x * ((x \ y) * K(z,y)) = y * K(z,y). [para(14041(a,1),433(a,1,2)),flip(a)]. 14050 K((x \ 1) \ y,z) = K(x * y,z). [hyper(236,a,11543,a(flip),b,14042,a(flip))]. 14051 K(x,(y \ 1) \ z) = K(x,y * z). [para(451(a,1),14042(a,1,2)),flip(a)]. 14052 K(x,T((y \ 1) \ z,u)) = K(x,T(y * z,u)). [para(575(a,1),14042(a,1,2)),flip(a)]. 14053 K(x,L(y,z,z \ 1)) = K(x,y). [para(2977(a,1),14042(a,1,2))]. 14054 K((x \ y) \ z,y) = K(y \ (x * z),y). [hyper(236,a,11544,a(flip),b,14048,a(flip))]. 14055 K(x,L(y * z,z,y)) = K(x,y * z). [para(13(a,1),14048(a,1,2,2))]. 14056 K(x,L(y,z,z \ y)) = K(x,y). [para(11123(a,1),14048(a,1,2))]. 14057 (x \ (y * ((y \ x) * z))) * x = (y * ((y \ x) * z)) * K(z,x). [para(14048(a,1),11546(a,1,2)),flip(a)]. 14058 K(x,R(y,z,z \ 1)) = K(x,y). [hyper(13191,a,14053,a)]. 14060 K(x,y * (z \ 1)) = K(x,y / z). [hyper(236,a,13192,a(flip),b,14053,a(flip)),flip(a)]. 14061 K(x,(1 / y) * z) = K(x,y \ z). [para(2920(a,1),14053(a,1,2))]. 14063 x * K(y,L(z,u,u \ z)) = x * K(y,z). [hyper(21,a,14056,a)]. 14065 K(R(x,y,y \ 1),z) = K(x,z). [hyper(236,a,12874,a,b,14058,a(flip)),flip(a)]. 14066 R(x * K(y,x),z,z \ 1) = R(x,z,z \ 1) * K(y,x). [para(14058(a,1),5658(a,1,2)),flip(a)]. 14068 K(x * (y \ 1),z) = K(x / y,z). [para(482(a,1),14065(a,1,1))]. 14069 R(x,y,y \ 1) * (z / R(x,y,y \ 1)) = z * K(x,R(x,y,y \ 1) \ z). [para(14065(a,1),5079(a,1,2)),flip(a)]. 14071 a(x,y,z) \ a(z,y,K(x,u)) = T(a(x,y,z),u) \ 1. [hyper(72,a,13995,a,b,4828,a(flip))]. 14072 K(a(x,y,z),u) = K(x,a(u,y,z)). [hyper(236,a,13863,a(flip),b,13996,a(flip))]. 14073 a(x,y,K(z,u)) != w | a(z,y,K(u,x)) = w. [para(13996(a,2),13907(a,1))]. 14074 K(x,L(y,z,u) \ y) = a(x,z,K(y,u)). [hyper(236,a,13708,a,b,14004,a),flip(a)]. 14075 a(x,y,K(z,a(u,w,v5))) = K(x,a(a(u,w,v5),z,y)). [para(47(a,1),14004(a,2,2))]. 14076 x * a(a(y,z,u) \ x,z,K(u,y)) = (a(y,z,u) \ x) * a(y,z,u). [para(14004(a,2),249(a,1,2))]. 14077 a(x,y,K(z,u)) * x != w | T(x,a(u,y,z)) = w. [para(14004(a,2),4898(a,1,1))]. 14078 ((a(x,y,z) \ 1) \ a(u,y,K(z,x))) * u = u * ((a(x,y,z) \ 1) \ 1). [para(14004(a,2),5506(a,1,1,2))]. 14079 (x * y) * a(y,z,K(u,w)) = x * T(y,a(w,z,u)). [para(14004(a,2),6201(a,1,2))]. 14080 a(x,y,z) * a(x * (y * z),y,K(z,x)) = ((x * y) * z) / (x * (y * z)). [para(14004(a,2),5035(a,1,2))]. 14081 K(x,y) * K(z,a(x,u,y)) = K(x,L(y,u,z)). [para(14004(a,1),11482(a,1,2))]. 14083 a(x,y,K(z,K(u,w))) = K(z,K(x,a(w,y,u))). [para(14004(a,1),13863(a,2,2))]. 14085 a(x,y,K(z,u)) != w | a(K(x,u),y,z) = w. [para(14004(a,2),13980(a,1))]. 14086 a(a(x,y,K(z,u)),w,v5) = a(x,w,K(v5,a(u,y,z))). [para(14004(a,2),13987(a,1,1))]. 14087 a(x,y,K(z,K(u,w))) = K(x,K(z,a(u,y,w))). [para(13989(a,1),14004(a,2,2))]. 14088 (x \ K(y,z)) * K(z,y) = x \ 1. [hyper(7559,a,14046,a)]. 14090 (1 / x) \ K(y,z) = x * K(y,z). [hyper(582,a,14046,a),flip(a)]. 14091 T(x * K(y,z),x \ 1) = (((x * K(y,z)) \ K(y,z)) \ 1) * K(y,z). [hyper(236,a,4083,a,b,14046,a),flip(a)]. 14092 (x \ 1) \ (x \ K(y,z)) = K(y,z). [hyper(80,a,14046,a)]. 14093 K(x,T(y,z)) * (z \ 1) = z \ K(x,y). [hyper(236,a,9350,a,b,14046,a(flip)),flip(a)]. 14096 (1 / x) \ K(y,z) != u | x * K(y,z) = u. [para(14046(a,1),582(a,1))]. 14101 (x \ K(y,z)) \ (x \ 1) = K(z,y). [para(14046(a,1),7549(a,1,1))]. 14102 (x \ K(y,z)) * T(z,y) = (x \ 1) * z. [para(14046(a,1),7568(a,1,1))]. 14103 (x \ K(y,z)) \ (x \ 1) != u | K(z,y) = u. [para(14046(a,1),7560(a,1,1))]. 14104 T(x \ K(y,z),K(y,z)) = K(y,z) * (x \ 1). [para(14046(a,1),7987(a,1,1))]. 14105 (x \ L(x,y,z)) * K(u,L(w,x \ 1,L(x,y,z))) = L(x,y,z) * (x \ K(u,w)). [para(14046(a,1),11582(a,2,2))]. 14107 K(x * (y \ z),L(u,x \ 1,y)) = K((y * (x \ 1)) \ z,u). [hyper(11642,a,14050,a),flip(a)]. 14108 K(T((x \ y) \ 1,z) \ u,T((x \ y) \ 1,w)) = K((x \ y) * u,T(y \ x,w)). [hyper(9467,a,14050,a)]. 14109 K((x \ 1) * y,z) = K(x \ y,z). [hyper(6070,a,14050,a),flip(a)]. 14110 K((1 / x) \ y,z) = K(x * y,z). [hyper(5633,a,14050,a)]. 14112 K((x \ 1) \ (y * ((z \ 1) \ 1)),u) = K(x * (y * z),u). [hyper(236,a,5735,a,b,14050,a(flip)),flip(a)]. 14113 ((x \ 1) \ y) \ K(x * y,y \ (x \ 1)) = 1 / ((x \ 1) \ y). [hyper(72,a,14050,a(flip),b,2294,a)]. 14116 K((x \ 1) * y,z) != u | K(x \ y,z) = u. [para(14050(a,1),6070(a,1))]. 14118 x * (y * K(x * y,z)) = T(x * y,z). [para(14050(a,1),6304(a,1,2,2))]. 14119 K((x \ 1) \ K(y,y \ z),u) = K((x / (z / (z / y))) * y,u). [para(6444(a,2),14050(a,2,1))]. 14120 T(x * K(y * x,z),y) = y \ T(x * y,z). [para(14050(a,1),6472(a,1,1,2))]. 14122 (x * K(y * (z \ x),z)) * y = (z \ (x * y)) * z. [para(14050(a,1),9901(a,1,1,2))]. 14123 K(x,T(y * z,y)) = K(x,(z \ 1) \ y). [hyper(236,a,13017,a,b,14051,a),flip(a)]. 14124 K(x,a(y,z,u \ 1) \ 1) = K(x,u * L(u \ 1,z,y)). [hyper(236,a,13732,a,b,14051,a(flip)),flip(a)]. 14125 K(x,(1 / y) \ z) = K(x,y * z). [hyper(236,a,5476,a,b,14051,a(flip)),flip(a)]. 14126 K(x,(y \ 1) * z) = K(x,y \ z). [hyper(236,a,5478,a(flip),b,14051,a(flip))]. 14127 T(x,(y \ 1) \ z) = x * K(x,y * z). [para(14051(a,1),4887(a,2,2))]. 14128 K(x,L((y \ 1) \ z,u,w)) = L(K(x,y * z),u,w). [para(14051(a,1),11470(a,1,1)),flip(a)]. 14130 K(x,y * (1 / z)) = K(x,y / z). [hyper(236,a,5472,a,b,14060,a(flip)),flip(a)]. 14131 K(x,y / (z \ 1)) = K(x,y * z). [hyper(236,a,5469,a(flip),b,14060,a(flip))]. 14133 T(x,y * (1 / z)) = x * K(x,y / z). [para(14060(a,1),4950(a,1,2)),flip(a)]. 14134 K(x,L(y * (z \ 1),u,w)) = L(K(x,y / z),u,w). [para(14060(a,1),11470(a,1,1)),flip(a)]. 14135 K(x * (1 / y),z) = K(x / y,z). [hyper(5884,a,14068,a)]. 14136 K(x / (y \ 1),z) = K(x * y,z). [hyper(5630,a,14068,a),flip(a)]. 14137 K(x / y,L(z,u,u \ 1)) = K(x * (y \ 1),z). [hyper(236,a,14053,a,b,14068,a),flip(a)]. 14138 K(x / (1 / y),z) = K(x * y,z). [para(65(a,1),14068(a,1,1,2)),flip(a)]. 14140 K(x / (y \ 1),z) != u | K(x * y,z) = u. [para(14068(a,1),5630(a,1))]. 14141 (K(x / y,(y \ 1) \ 1) / (y \ 1)) \ x = x / (1 / (y \ 1)). [para(14068(a,1),6106(a,1,1,1))]. 14142 a(x * K((y * z) / z,y * z),u,w) = a(x * K(z \ 1,z * y),u,w). [para(14068(a,1),13616(a,1,1,2))]. 14143 K(x,a(y,z,u)) != w | a(x,z,K(u,y)) = w. [para(14072(a,1),13907(a,1))]. 14144 (K(x,y) / z) \ 1 = z * K(y,x). [hyper(582,a,14088,a),flip(a)]. 14146 K(x,x \ K(y,z)) * K(z,y) = x \ ((x \ K(y,z)) \ 1). [para(14088(a,1),5176(a,1,2)),flip(a)]. 14148 (K(x,y) * K(z,u)) \ 1 = K(u,z) * K(y,x). [para(7549(a,1),14088(a,1,1)),flip(a)]. 14149 (x \ 1) * K(y,z) != u | x \ K(y,z) = u. [para(14088(a,1),7577(a,1,1)),flip(b)]. 14151 (1 / (x / ((y * z) / y))) \ K(y,z) = x / z. [hyper(236,a,7556,a(flip),b,14090,a)]. 14153 (x \ K(y,z)) \ ((1 / x) * K(y,z)) = K(x,x \ 1). [hyper(72,a,14090,a(flip),b,3003,a)]. 14154 (1 / x) * (x * K(y,z)) = K(y,z). [para(14090(a,1),14(a,1,2))]. 14155 K(x,y) / (z * K(x,y)) = 1 / z. [para(14090(a,1),62(a,1,2))]. 14159 ((x \ 1) \ K(y,z)) * (x \ 1) = (x * K(y,z)) * (1 / x). [para(14090(a,1),2970(a,1,1)),flip(a)]. 14161 K(x,y * ((z \ 1) \ K(u,w))) = K(x,y * (z * K(u,w))). [para(14090(a,1),5486(a,1,2,2)),flip(a)]. 14162 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * (u * K(u \ 1,z))). [para(14090(a,1),5925(a,2,2,2))]. 14163 L(x,(y \ 1) \ K(z,u),w) = L(x,y * K(z,u),w). [para(14090(a,1),7004(a,1,2)),flip(a)]. 14164 (1 / x) \ K(y,z * u) = x * K(y,(z \ 1) \ u). [para(14051(a,1),14090(a,1,2))]. 14167 x * ((y \ 1) * K(z,u)) != w | x * (y \ K(z,u)) = w. [para(14092(a,1),307(a,1,2,2))]. 14171 (x \ K(y,z * (y \ u))) \ (x \ 1) = K((y \ z) * u,y). [para(12847(a,1),14101(a,1,1,2))]. 14175 K((x \ 1) / y,z) = K(x \ (y \ 1),z). [hyper(236,a,14068,a(flip),b,14109,a(flip)),flip(a)]. 14177 ((x * y) / x) / ((x * (y * K(z \ u,y))) / x) = K(y,T((z \ 1) * u,x)). [para(14109(a,1),9124(a,1,2,1,2,2))]. 14178 ((1 / x) \ y) * K(x * y,z) != u | T((1 / x) \ y,z) = u. [para(14110(a,1),4890(a,1,2))]. 14182 T(x,(y \ 1) * z) = x * K(x,y \ z). [para(14126(a,1),4887(a,2,2))]. 14183 K(x \ y,(1 / (y / x)) * z) = K(x \ y,z / (y / x)). [hyper(13123,a,14130,a)]. 14184 K(x,((y * z) * (z \ (u \ 1))) * u) = K(x,R(y,z,z \ (u \ 1))). [para(112(a,1),14131(a,1,2)),flip(a)]. 14188 (K(x,y) / T(y,z)) \ 1 = K(y,z) * T(y,x). [hyper(236,a,5201,a,b,14144,a)]. 14189 1 / (x * K(y,z)) = K(z,y) / x. [para(14144(a,1),62(a,1,2))]. 14190 ((x * K(y,z)) * (K(z,y) / x)) * ((K(z,y) / x) \ u) = u * T(u \ (1 * ((K(z,y) / x) \ u)),K(z,y) / x). [para(14144(a,1),985(a,1,1,1))]. 14191 T(x,R((y * K(z,u)) \ 1,w,v5)) = T(x,R(K(u,z) / y,w,v5)). [para(14144(a,1),3515(a,1,2,1,1))]. 14192 K(x,(y / (1 / (K(z,u) / w))) * v5) = K(x,(y / (w * K(u,z))) * v5). [para(14144(a,1),5487(a,2,2,1,2))]. 14194 K(x / (K(y,z) / u),w) = K(x * (u * K(z,y)),w). [para(14144(a,1),14068(a,1,1,2)),flip(a)]. 14195 K(x,y) / (y \ T(x,y)) = 1 / (y \ x). [para(7546(a,1),14155(a,1,2))]. 14196 K(x,y) / (z / T(y,x)) = 1 / (z / y). [para(7555(a,1),14155(a,1,2))]. 14197 K(x,y) / (z \ 1) = 1 / (z \ K(y,x)). [para(14088(a,1),14155(a,1,2))]. 14198 1 / (K(x,y) * T(x,z)) = K(y,x) / T(x,z). [para(3255(a,1),14189(a,1,2))]. 14200 K(x * K(y,z),x \ K(z,y)) = (x * K(y,z)) * (K(z,y) / x). [para(14189(a,1),6667(a,1,2)),flip(a)]. 14201 x * T(x \ ((K(y,z) / u) \ x),w) = (1 / T(u * K(z,y),w)) \ x. [para(14189(a,1),11828(a,1,2,1,2,1))]. 14202 K(L(x,y,z),z * y) = K(x,z * y). [hyper(236,a,11533,a,b,14055,a(flip)),flip(a)]. 14204 ((x * y) * z) / (K(u,x * y) * z) = T(x * y,L(u,y,x)). [para(14055(a,1),11548(a,1,2,1))]. 14205 K(x,y * z) * L(x,z,y) = L(T(x,y * z),z,y). [para(14202(a,1),4969(a,1,1))]. 14206 K(x,y * z) * (y * (z * x)) = L(x,z,y) * (y * z). [para(14202(a,1),4982(a,1,1))]. 14207 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(14202(a,1),13816(a,2,2,2))]. 14208 a(x,y,K(z,u * (z \ w))) = a(u * w,y,K(x,z)). [para(10632(a,1),13997(a,1,3))]. 14209 a(x,y,K(z,u)) * a(u,y,z) = T(a(u,y,z),x \ 1). [para(14001(a,1),13876(a,1,1))]. 14210 a(x,y,K(z,u)) * K(x,z) = K(x,L(z,y,u \ 1)). [para(14006(a,1),11513(a,1,1))]. 14211 a(x * y,z,K(y,u)) = a(x,z,K(y,u)). [hyper(236,a,13990,a,b,14007,a)]. 14212 a(x,y,K(z \ u,w \ (u \ z))) = a(w,y,K(x,u \ z)). [hyper(236,a,12009,a,b,14011,a(flip)),flip(a)]. 14213 a(x,y,K(z,u \ x)) = a(u,y,K(z,x)). [hyper(236,a,13990,a(flip),b,14011,a(flip)),flip(a)]. 14214 T(x * K(y,x),L(y,z,u)) = T(x,a(y,z,u)). [hyper(11604,a,14032,a)]. 14215 T(x,a(y \ 1,y,z)) = x. [hyper(10191,a,14032,a)]. 14216 T(a(x,y,z) \ u,a(z,y,x)) != w | u / a(x,y,z) = w. [para(14032(a,1),13879(a,1))]. 14217 a(x \ 1,x,y) * z = z * a(x \ 1,x,y). [hyper(2261,a,14215,a),flip(a)]. 14218 a(x \ 1,x,y) * z != u * w | u \ (z * a(x \ 1,x,y)) = w. [para(14215(a,1),549(a,1,2))]. 14219 L(x,y,z) * a(L(x,y,z),u,K(w,v5)) = L(T(x,a(v5,u,w)),y,z). [hyper(236,a,40,a,b,14033,a)]. 14220 T(x,a(y,z,z \ 1)) != u | u = x. [para(14033(a,1),10191(a,1))]. 14221 K(((x \ 1) * y) \ 1,z) = K(y \ x,z). [hyper(5635,a,14043,a(flip)),flip(a)]. 14222 K((x \ y) \ (T(x,z) \ 1),u) = K((K(x,z) * y) \ 1,u). [para(4857(a,1),14043(a,1,1,1)),flip(a)]. 14223 (x * y) / (K(z \ (u \ 1),x) * y) = T(x,(u * z) \ 1). [para(14043(a,1),5354(a,1,2,1))]. 14224 K((x \ y) \ ((z / (z / x)) \ 1),u) = K((K(x \ z,x) * y) \ 1,u). [para(5526(a,1),14043(a,1,1,1)),flip(a)]. 14225 x \ (y * K(z,y)) = (x \ y) * K(z,y). [hyper(80,a,14049,a)]. 14226 x \ ((y * z) / y) = (x \ z) * K(y,z). [hyper(72,a,4854,a,b,14049,a)]. 14228 (x \ (y \ z)) * K(y,y \ z) = x \ (z / y). [hyper(72,a,4903,a(flip),b,14049,a),flip(a)]. 14229 K((x / y) \ z,x) = K(x \ (y * z),x). [hyper(236,a,6531,a,b,14054,a(flip)),flip(a)]. 14230 K(x,((y * z) \ u) \ (z \ (y \ u))) = a(x,z,K(z \ (y \ u),y)). [para(227(a,1),14074(a,1,2,1))]. 14234 K(x,(y \ 1) \ z) != u | K(x,y * z) = u. [para(14123(a,1),13066(a,1))]. 14235 T(x,(y \ 1) \ z) = T(x,y * z). [hyper(236,a,4887,a,b,14127,a)]. 14237 T(x,(1 / y) \ z) = T(x,y * z). [hyper(236,a,4501,a,b,14235,a(flip)),flip(a)]. 14238 T(x,(y \ 1) * z) = T(x,y \ z). [hyper(236,a,4503,a(flip),b,14235,a(flip))]. 14239 T(x,(1 / y) * z) = T(x,y \ z). [para(65(a,1),14235(a,1,2,1)),flip(a)]. 14241 K(x,T(y,z * u)) * ((z \ 1) \ u) = ((z \ 1) \ u) * K(x,y). [para(14235(a,1),8047(a,1,1,2))]. 14243 T(x,((1 / y) * a(z,u,z)) * w) = T(x,y \ (a(z,u,z) * w)). [para(12942(a,2),14239(a,1,2))]. 14244 T(x,y * (1 / z)) = T(x,y / z). [hyper(236,a,4887,a,b,14133,a)]. 14246 T(x,y * (z \ 1)) = T(x,y / z). [hyper(5661,a,14244,a)]. 14247 T(x,y / (1 / z)) = T(x,y * z). [hyper(236,a,4512,a(flip),b,14244,a(flip))]. 14250 T(x,y / (z \ 1)) = T(x,y * z). [para(62(a,1),14244(a,1,2,2)),flip(a)]. 14251 K(x,L(T((1 / y) \ z,u / y),1 / y,u)) = K(x,(u * z) / (u * (1 / y))). [para(14244(a,1),8135(a,1,2,1))]. 14252 T(x,T(y,z \ u) / (u \ z)) = T(x,((u \ z) \ 1) * y). [hyper(13119,a,14246,a),flip(a)]. 14253 (x * (y \ 1)) * T(z,x / y) = z * (x * (y \ 1)). [para(14246(a,1),119(a,1,2))]. 14254 T(x,(y * K(z \ 1,u)) / z) = T(x,y * T(z \ 1,u)). [para(6188(a,1),14246(a,1,2)),flip(a)]. 14255 K(x,y) * T(x * K(y,x),z / u) = T(x,T(z * (u \ 1),y)). [para(14246(a,1),8639(a,1,2))]. 14258 (L(x \ 1,y,z) \ 1) \ T(L(x \ 1,y,z) \ 1,u * w) = T(K(x,L(u / (w \ 1),y,z)),L(x \ 1,y,z) \ 1). [hyper(394,a,14250,a(flip),b,11685,a),flip(a)]. 14259 K(x \ (K(y,y \ z) * (y \ 1)),u) = K((x \ 1) / (z / (z / y)),u). [para(5509(a,1),14175(a,2,1,2)),flip(a)]. 14260 T(x,(y \ 1) * z) != u | T(x,y \ z) = u. [para(14182(a,2),4890(a,1))]. 14261 1 / (x \ K(y,1 / x)) = x * K(1 / x,y). [hyper(9506,a,14197,a),flip(a)]. 14262 a(x * y,z,K(u,y)) = a(x,z,K(u,x * y)). [para(13(a,1),14213(a,1,3,2))]. 14263 K((a(x,y,y \ 1) * (z \ 1)) \ 1,u) = K(a(x,y,y \ 1) \ z,u). [para(13894(a,2),14221(a,1,1,1))]. 14264 (x \ y) * K(x / y,y) = (y * (x / y)) \ y. [hyper(236,a,1447,a(flip),b,14225,a(flip))]. 14266 (x \ ((y * z) / y)) * y = (x \ z) * T(y,z). [para(14226(a,2),6188(a,1,1))]. 14268 K((x \ y) * K(z,y),x) != u | K(x \ y,T(x,z)) = u. [para(14226(a,1),11020(a,1,1))]. 14269 K((x * y) \ (y * z),x * y) = K(x \ z,x * y). [para(15(a,1),14229(a,1,1,1)),flip(a)]. 14271 L(K(x,y),z \ 1,z) != u | K(x,y) = u. [para(14044(a,2),283(a,1)),flip(b)]. 14274 L(K(x,y),z,z \ 1) != u | K(x,y) = u. [para(2977(a,1),14271(a,1))]. 14275 K(x,L(y,z \ 1,z)) != u | K(x,y) = u. [para(11470(a,1),14271(a,1))]. 14276 K(x,L(y,z,z \ 1)) != u | K(x,y) = u. [para(11470(a,1),14274(a,1))]. 14278 K(x * y,z) != u | K((x \ 1) \ y,z) = u. [para(11543(a,1),14275(a,1))]. 14279 K((x \ 1) \ y,L(z,u \ 1,u)) != w | K(x * y,z) = w. [para(14050(a,2),14275(a,1))]. 14280 K(x,(1 / y) * z) != u | K(x,y \ z) = u. [para(2920(a,1),14276(a,1,2))]. 14282 K(x,y * (z \ 1)) != u | K(x,y / z) = u. [para(13192(a,1),14276(a,1))]. 14283 x * K(L(y,z,z \ u),u) = x * K(y,u). [para(11533(a,2),14063(a,1,2))]. 14284 a(x,y,K(z,u \ z)) != w | a(u,y,K(z,x)) = w. [para(12005(a,2),14073(a,1))]. 14285 a(x,y,K(z,u \ 1)) != w | a(u,y,K(z,x)) = w. [para(12008(a,2),14073(a,1))]. 14286 a(K(x,y),z,u) != w | a(x,z,K(u,y)) = w. [para(13981(a,2),14073(a,1))]. 14287 a(x,y,K(z,u)) != w | a(u,y,K(x,z)) = w. [para(13990(a,1),14073(a,1))]. 14288 K(x,a(y,z,u)) != w | a(u,z,K(y,x)) = w. [para(14004(a,1),14073(a,1))]. 14289 a(x * y,z,K(u,x)) != w | a(x,z,K(y,u)) = w. [para(13998(a,2),14073(a,1))]. 14292 K((x \ 1) / y,z) != u | K(x \ (y \ 1),z) = u. [para(14068(a,1),14116(a,1))]. 14293 K((x * K(y,z)) * u,w) != v5 | K((K(z,y) / x) \ u,w) = v5. [para(14144(a,1),14116(a,1,1,1))]. 14294 K(a(x,y,z) \ u,u) != w | a(a(x,y,z) \ u,y,K(z,x)) = w. [para(13908(a,1),14143(a,1))]. 14296 (x * K(y,z)) * K(u,w) != v5 | (K(z,y) / x) \ K(u,w) = v5. [para(14144(a,1),14149(a,1,1))]. 14297 K(x,y / T(z \ 1,z * (x * y))) != u | K(x,z * y) = u. [para(11143(a,2),14234(a,1))]. 14298 K(x,((y \ 1) \ 1) * z) != u | K(x,y * z) = u. [para(14126(a,2),14234(a,1))]. 14300 T(x,(1 / y) * z) != u | T(x,y \ z) = u. [para(4502(a,2),14260(a,1))]. 14302 K((1 / x) \ y,z) != u | K((x \ 1) \ y,z) = u. [para(14110(a,2),14278(a,1))]. 14303 K(x,(y \ 1) * z) != u | K(x,y \ z) = u. [para(5477(a,1),14280(a,1))]. 14304 K(x,y * (1 / z)) != u | K(x,y / z) = u. [para(5472(a,2),14282(a,1))]. 14305 K(x,y * (z \ K(u \ z,u))) != w | K(x,y / (u * (z / u))) = w. [para(6553(a,1),14282(a,1,2,2))]. 14306 K(T(x * (y \ 1),z) \ u,x * (y \ 1)) != w | K((x * (y \ 1)) \ u,x / y) = w. [para(7486(a,2),14282(a,1))]. 14307 K(x,L(y,z,z \ x)) * K(y,x) = 1. [hyper(5105,a,14283,a),flip(a)]. 14308 K(x,L(y,z,z \ x)) = K(x,y). [hyper(5104,a,14307,a),flip(a)]. 14309 K(x * y,L(z,x,y)) = K(x * y,z). [para(13(a,1),14308(a,1,2,3))]. 14317 a(x * y,z,K(y,u)) != w | a(u,z,K(x,y)) = w. [para(14211(a,2),14287(a,1))]. 14318 K(x,L(a(y,z,u),w,v5)) != v6 | a(u,z,K(y,L(x,w,v5))) = v6. [para(11533(a,1),14288(a,1))]. 14320 K(x,((y \ 1) \ 1) \ z) != u | K(x,y \ z) = u. [para(14051(a,2),14303(a,1))]. 14321 K(x,(y * K(z,u)) * w) != v5 | K(x,(K(u,z) / y) \ w) = v5. [para(14144(a,1),14303(a,1,2,1))]. 14323 a(T(x,y),z,K(u,w)) = a(x,z,K(u,T(w,y))). [hyper(14286,a,13993,a),flip(a)]. 14324 a(x,y,K(z,u)) * K(L(u,y,z),x) = K(u,x). [hyper(7559,a,13999,a)]. 14325 K(x,a(y,z,u)) * K(a(y,z,u),L(x,w,v5)) = a(a(y,z,u),K(v5,x),w). [hyper(236,a,47,a,b,13999,a)]. 14326 K(x,y) * K(y,L(x,z,u)) = a(y,y \ z,K(u,x)). [para(11540(a,1),13999(a,1,2))]. 14327 a(L(T(x,y * z),z,y),u,K(w,z \ u)) = a(w,z,K((y * u) / (y * z),x)). [para(11537(a,1),14002(a,1,3)),flip(a)]. 14328 a(x,y,K(z,u \ w)) != v5 | a(x,y,K(w \ u,z)) = v5. [para(14005(a,1),14287(a,1))]. 14329 a(x,y,K(z,K(u,w))) = a(u,y,K(z,K(x,w))). [para(7919(a,1),14014(a,2,3))]. 14330 a(x,y,K(z,K(u,w))) = a(w,y,K(z,K(x,u))). [para(7923(a,2),14014(a,2,3)),flip(a)]. 14332 K(x,L(y,z,(u \ w) / w)) = K(x,y) * a(x,z,K(u \ 1,y)). [para(5706(a,1),14017(a,1,2,3)),flip(a)]. 14334 K(x,y) * a(x,z,K(u,y)) = K(x,L(y,z,y \ u)). [para(11740(a,1),14017(a,1,2))]. 14335 K(x,L(y,z,L(z,u,w))) = K(x,y) * 1. [para(8538(a,1),14018(a,1,2)),flip(a)]. 14336 K(x,y) * a(y,z,K(x,x \ (u \ w))) = K(x,L(y,z,(u * x) \ w)). [para(10643(a,1),14018(a,1,2,3))]. 14337 K(x,y) * a(y,z,K(x,u)) != w | L(K(x,y),z,u) = w. [para(14018(a,2),11472(a,1))]. 14338 K(x,y) * a(y,z,K(x,L(u / w,v5,v6))) = K(x,L(y,z,L((w / u) \ 1,v5,v6))). [para(11722(a,1),14018(a,1,2,3))]. 14339 K(x,L(y,z,L(z,u,w))) != v5 | K(x,y) = v5. [para(14335(a,2),83(a,1)),flip(b)]. 14340 K(x,L(y,z,z)) != u | K(x,y) = u. [para(320(a,1),14339(a,1,2,3))]. 14341 K(x \ y,L(z,x,y)) != u | K(x \ y,z) = u. [para(11565(a,1),14340(a,1))]. 14342 a(x,y,K(z,u)) * K(x,u) = L(K(x,u),y,z). [hyper(236,a,11470,a,b,14020,a)]. 14343 a(x,y,K(z \ 1,L(u,w,v5))) * K(x,u) = K(x,L(u,y,L(z,w,v5) \ 1)). [para(11480(a,1),14020(a,1,1,3))]. 14344 a(x,y,K(z,L(u,w,v5))) * K(x,u) = K(x,L(u,y,L(z,w,v5))). [para(11533(a,1),14020(a,1,1,3))]. 14345 a(x,y,a(z,u,K(w,v5))) * K(x,v5) = K(x,L(v5,y,a(z,u,w))). [para(13871(a,2),14020(a,1,1,3))]. 14346 a(x,y,K(z * u,w)) * K(x,w) = K(x,L(w,y,z / (u \ 1))). [para(14136(a,1),14020(a,1,1,3))]. 14347 a(x,y,K(z \ (u \ 1),w)) * K(x,w) = K(x,L(w,y,(u * z) \ 1)). [para(14043(a,1),14020(a,1,1,3))]. 14349 K(x,L(y,z,u)) * (T(x,y) \ w) = a(x,z,K(u,y)) * (x \ w). [hyper(236,a,11625,a,b,14026,a(flip)),flip(a)]. 14350 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(14027(a,1),5683(a,1,2,2,2,1))]. 14351 a(x,y,K(z,u)) * w != v5 | a(z,y,K(u,x)) * w = v5. [para(14028(a,1),11997(a,1,2)),flip(b)]. 14352 x * a(y,z,K(u,x \ 1)) = T(x,a(u,z,y) \ x). [para(14001(a,2),14037(a,2,2)),flip(a)]. 14353 K(x,T(y \ 1,z) \ x) = K(x,T(y * x,z)). [hyper(236,a,8841,a,b,14052,a(flip)),flip(a)]. 14354 K(x \ 1,T(x * y,z)) * T(y,z) = T((x \ 1) * (y / (x \ 1)),z). [para(14052(a,1),11202(a,1,1))]. 14355 K(x,y) \ K(x,L(y,z,u)) = K(u,a(x,y \ z,y)). [hyper(72,a,11474,a(flip),b,14081,a)]. 14356 K(x,y) \ K(x,L(y,z,u)) != w | K(u,a(x,z,y)) = w. [para(14081(a,1),283(a,1,2)),flip(b)]. 14357 T(K(x,y) * K(x,z),K(z,x) * K(y,x)) = K(x,y) * K(x,z). [hyper(236,a,9711,a,b,14148,a(flip)),flip(a)]. 14358 (x / ((y * z) / y)) \ T(x / z,1 / (x / ((y * z) / y))) = (x / z) * (1 / (x / ((y * z) / y))). [para(14151(a,1),7705(a,2,1))]. 14359 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(14188(a,1),13819(a,2,1,2))]. 14360 L(x,y * ((K(z,u) * T(z,w)) \ 1),v5) = L(x,y * (K(u,z) / T(z,w)),v5). [para(14198(a,1),7003(a,1,2,2)),flip(a)]. 14361 T(T(x,y),a(y,z,u)) = T(x,L(y,z,u)). [para(4901(a,1),14214(a,1,1)),flip(a)]. 14362 T(x,L(y,z,z \ 1)) = T(x,y). [hyper(14220,a,14361,a)]. 14363 (a(x \ 1,x,y) * z) \ ((z * K(u,z \ (a(x \ 1,x,y) \ w))) * a(x \ 1,x,y)) = K(u,(a(x \ 1,x,y) * z) \ w). [hyper(72,a,14217,a(flip),b,11580,a)]. 14365 (L(x \ 1,y,z) \ 1) * (x \ 1) = L(x \ 1,y,z) \ (1 / x). [hyper(236,a,4693,a(flip),b,14228,a(flip)),flip(a)]. 14366 K((x \ (y / z)) \ u,z) = K((x \ (z \ y)) \ u,z). [para(14228(a,1),8684(a,1,1,1))]. 14367 K(x,(T(y \ z,u) / u) * K(y,y \ z)) = K(x,u \ (z / y)). [para(14228(a,1),13152(a,2,2))]. 14368 R(x,y,z \ (1 / u)) = R(x,y,z \ (u \ 1)). [para(14228(a,1),13717(a,1,3))]. 14369 1 / ((x * (y \ 1)) / x) = y * K(1 / y,x). [para(5227(a,1),14261(a,1,2))]. 14370 a(x,T((y \ ((z * u) / z)) * z,y \ u),w) = a(x,T(z,u) * (y \ u),w). [para(14266(a,2),13648(a,1,2,1))]. 14371 K(x,K(y,L(z,u,w))) * K(x,K(z,y)) = a(z,u,K(x,K(w,y))). [hyper(11644,a,14329,a)]. 14372 a(x,y,K(z,K(u,w))) * K(x,K(u,w)) = K(u,K(w,L(x,y,z))). [hyper(236,a,11555,a(flip),b,14342,a)]. 14373 L(K(x,y),z,u) != w * K(x,y) | a(x,z,K(u,y)) = w. [para(14342(a,1),20(a,1))]. 14374 a(x,y,K(z,K(u,w))) * K(x,K(u,w)) != v5 | K(u,K(w,L(x,y,z))) = v5. [para(14342(a,2),11560(a,1))]. 14375 K(x,T((y \ z) * x,z)) = K(x,y \ ((((y \ z) \ 1) \ y) * x)). [hyper(236,a,7114,a(flip),b,14353,a(flip))]. 14376 1 / ((x * ((y / z) \ 1)) / x) = (y / z) * K(z / y,x). [para(5702(a,1),14369(a,2,2))]. 14377 K(x * (y \ 1),z) != u | K(x / y,z) = u. [para(14137(a,1),10721(a,1))]. 14379 a(x,y,K(z \ x,u)) = a(z,y,K(x,u)). [hyper(14284,a,13990,a(flip)),flip(a)]. 14382 K(x,T((y \ 1) \ 1,z) * u) != w | K(x,T(y,z) * u) = w. [para(2479(a,1),14298(a,1,2,1))]. 14386 a(x,y,K(z * u,u)) != w | a(x,y,K(z,u)) = w. [para(13990(a,1),14317(a,1))]. 14388 K(x,(y \ (y / ((z \ 1) \ 1))) \ u) != w | K(x,(y \ (y / z)) \ u) = w. [para(2775(a,1),14320(a,1,2,1))]. 14389 K(x,((y * ((z \ 1) \ 1)) \ y) \ u) != w | K(x,((y * z) \ y) \ u) = w. [para(2817(a,1),14320(a,1,2,1))]. 14391 a(a(x,y,K(z,u)),w,v5) = a(a(x,y,z),K(v5,u),w). [para(13871(a,2),13988(a,1,1))]. 14392 a(L(x,y,z),u,K(w,v5)) = a(x,u,K(w,L(v5,y,z))). [hyper(14286,a,13994,a),flip(a)]. 14393 a(L(x,y,z),u,K(w,v5)) != v6 | a(x,u,K(w,L(v5,y,z))) = v6. [para(13994(a,1),14286(a,1))]. 14394 a(x,y,K(z,u \ (x \ w))) = a(x,y,K(z,u \ w)). [hyper(14287,a,14012,a)]. 14395 a(x,y,K(z,a(u,w,v5))) = a(x,z,K(y,a(u,w,v5))). [hyper(236,a,14004,a,b,14075,a)]. 14396 a(a(x,y,K(z,u)),w,v5) = a(x,w,a(v5,y,K(z,u))). [para(14004(a,2),14086(a,2,3))]. 14397 x \ ((y \ (x * z)) * y) = z * K(x * (y \ z),y). [hyper(18,a,4788,a,b,14122,a),flip(a)]. 14398 (x \ (y * z)) * K(x * (y \ (x \ (y * z))),y) = x \ (z * y). [hyper(18,a,4788,a(flip),b,14122,a)]. 14399 K(x,L((y \ 1) \ z,u,w)) != v5 | K(x,L(y * z,u,w)) = v5. [para(14128(a,2),11589(a,1))]. 14400 K(x,L(y * (z \ 1),u,w)) = K(x,L(y / z,u,w)). [hyper(236,a,11470,a(flip),b,14134,a)]. 14401 K(x,L(y * (z \ 1),u,w)) != v5 | K(x,L(y / z,u,w)) = v5. [para(14134(a,2),11589(a,1))]. 14402 x * K(y,(z \ 1) \ (z \ u)) = (1 / x) \ K(y,u). [para(14(a,1),14164(a,1,2,2)),flip(a)]. 14403 (L(x,y,z) \ x) * (u / (L(x,y,z) \ x)) = u * a(L(x,y,z) * u,y,K(z,x)). [para(14208(a,1),13882(a,2,2))]. 14404 a(x,y,K(z,u)) * K(x,z) = K(x,L(z,y,1 / u)). [para(3601(a,2),14210(a,2,2))]. 14405 K(x,L(y,z,L(z,u,w) \ 1)) = 1 * K(x,y). [para(8538(a,1),14210(a,1,1)),flip(a)]. 14406 K(x,L(y,L(z,u,w),z \ 1)) = 1 * K(x,y). [para(11254(a,1),14210(a,1,1)),flip(a)]. 14408 K(x,L(y,L(z,u,w),z \ 1)) != v5 | K(x,y) = v5. [para(14406(a,2),75(a,1)),flip(b)]. 14409 K(x * ((y * x) \ z),y * x) = K(y \ z,y * x). [hyper(10746,a,14269,a)]. 14410 K((x * y) \ z,x * y) = K(x \ (y \ z),x * y). [para(14(a,1),14269(a,1,1,2))]. 14412 a(x,x \ y,K(z,u)) = a(x,y,K(z,u)). [hyper(236,a,13999,a(flip),b,14326,a(flip))]. 14413 a(x,y \ z,K(y,u)) = a(y,z,K(u,x)). [hyper(14287,a,14412,a)]. 14415 a(x,y \ z,K(y,u)) = a(x,z,K(y,u)). [hyper(236,a,13990,a(flip),b,14413,a)]. 14416 a(x,y \ z,K(y,u)) != w | a(x,z,K(y,u)) = w. [para(14413(a,2),14287(a,1))]. 14417 a(x,y * z,K(y,u)) = a(x,z,K(y,u)). [para(13(a,1),14415(a,1,2)),flip(a)]. 14419 K(x,L(y,z \ u,z)) = K(x,y) * a(x,u,K(z,y)). [para(14415(a,1),14017(a,1,2)),flip(a)]. 14420 a(x,y * z,K(u,K(w,y))) = a(x,z,K(y,K(u,w))). [para(7923(a,2),14417(a,1,3))]. 14421 K(x,L(y,z,y \ u)) = K(x,L(y,z,u)). [hyper(236,a,14017,a(flip),b,14334,a(flip))]. 14422 K(L(x,y,x \ z),u) = w / (K(u,L(x,y,z)) * w). [para(14421(a,1),5266(a,1,2,1)),flip(a)]. 14423 a(x,y,K(z,L(u \ 1,w,v5))) != v6 | a(u,y,K(z,L(x,w,v5))) = v6. [para(14392(a,1),14285(a,1))]. 14424 a(x,y,K(z,a(u,w,v5))) = a(x,z,a(y,w,K(v5,u))). [para(14004(a,2),14395(a,1,3)),flip(a)]. 14425 a(a(x,y,z),K(u,w),v5) = a(x,v5,a(u,y,K(z,w))). [hyper(236,a,14391,a(flip),b,14396,a(flip)),flip(a)]. 14426 R(x,y,z) \ ((x \ (R(x,y,z) * u)) * x) = u * K((x \ u) * R(x,y,z),x). [para(7514(a,1),14397(a,2,2))]. 14427 L(x,y,(z * K(K(u \ w,u) * (v5 \ z),v5)) * K(w,u)) = L(x,y,T(z * K(u \ w,u),v5)). [para(14397(a,1),13805(a,1,3,1))]. 14429 (1 / (x \ T(y,z))) \ K(z,y) = x \ y. [hyper(7673,a,14402,a),flip(a)]. 14430 (x \ T(y,z)) * K(z,y) = x \ y. [hyper(14096,a,14429,a)]. 14431 (x \ T(y,z)) \ (x \ y) = K(z,y). [hyper(72,a,14429,a(flip),b,14090,a(flip))]. 14432 (x \ y) * K(y,z) = x \ T(y,z). [hyper(7559,a,14430,a)]. 14433 (T(x,y) / z) \ x = z * K(y,x). [hyper(582,a,14430,a),flip(a)]. 14435 K(x,y) * (z \ T(y,x)) = T(z \ y,K(y,x)). [para(14430(a,1),7396(a,1,1)),flip(a)]. 14436 (x \ y) \ (x \ T(y,z)) = K(y,z). [para(14430(a,1),7549(a,1,1))]. 14437 (x \ y) \ (x \ T(y,z)) != u | K(y,z) = u. [para(14430(a,1),7560(a,1,1))]. 14441 (x / y) \ T(x,z) = y * K(x,z). [hyper(582,a,14432,a),flip(a)]. 14443 K(x,y \ z) * (y \ x) = y \ T(x,z / y). [hyper(236,a,9397,a,b,14432,a(flip)),flip(a)]. 14445 (x * (y \ z)) \ (x * (y \ T(z,u))) = L(K(z,u),y \ z,x). [para(14432(a,1),28(a,2,2,2)),flip(a)]. 14447 R(x / y,y,x \ z) \ T(z,u) = (y * (x \ z)) * K(z,u). [para(489(a,1),14432(a,1,1)),flip(a)]. 14448 (x * L(x \ 1,y,z)) \ T(x,u) = (L(1 / x,y,z) \ 1) * K(x,u). [para(2642(a,1),14432(a,1,1)),flip(a)]. 14449 (x \ y) * a(y,z,K(u,w)) = x \ T(y,a(w,z,u)). [para(14004(a,2),14432(a,1,2))]. 14450 (x \ K(y,z)) \ T(x \ 1,u) = K(z,y) * K(x \ 1,u). [para(14101(a,1),14432(a,1,1)),flip(a)]. 14451 (1 / (x \ y)) * (x \ T(y,z)) = K(y,z). [para(14432(a,1),14154(a,1,2))]. 14452 x / (y * K(z,x)) = T(x,z) / y. [para(14433(a,1),62(a,1,2))]. 14455 (x / y) * (y * K(x,z)) = T(x,z). [para(14441(a,1),14(a,1,2))]. 14456 T(x,y) * K(z * K(x,y),x / z) = ((x / z) \ T(x,y)) * (x / z). [para(14441(a,1),249(a,1,2,1))]. 14459 L(x,y,T(z * K(u,w),(u / z) \ 1)) = L(x,y,T(u,w) / (u / z)). [para(14441(a,1),13541(a,1,3,1))]. 14461 T(x,y) / (z * T(x,y)) = x / (z * x). [para(7554(a,1),14452(a,1,2)),flip(a)]. 14462 T(x,y) / (z \ x) = K(x,y) * z. [hyper(74,a,14455,a(flip),b,11206,a)]. 14463 (K(x,y) * z) \ T(x,y) = z \ x. [hyper(72,a,14455,a(flip),b,11206,a)]. 14464 T(x,y) / ((1 / y) \ x) = 1 / T(y,x). [hyper(236,a,5173,a(flip),b,14462,a)]. 14465 K(x,y) * (x / z) = T(x,y) / z. [para(65(a,1),14462(a,1,2)),flip(a)]. 14466 ((x \ y) \ y) / (z \ x) = K(x,x \ y) * z. [para(120(a,1),14462(a,1,1))]. 14467 (K(x,y) * z) \ T(x,y) != u | z \ x = u. [para(14462(a,1),282(a,1,1)),flip(b)]. 14468 (K(x,y) * z) \ x = (z \ x) * K(y,x). [para(14462(a,1),14433(a,1,1))]. 14470 T(x,y) / (z \ x) != u | K(x,y) * z = u. [para(14463(a,1),294(a,1,2)),flip(b)]. 14471 (T(x,y) * z) \ T(x,y) = (x * z) \ x. [para(4906(a,1),14463(a,1,1))]. 14472 (K(x,y) * z) \ y = z \ T(y,x). [para(5268(a,1),14463(a,1,1)),flip(a)]. 14473 T(1 / (x / y),x) \ 1 = T(x,x \ y) / y. [hyper(5888,a,14465,a)]. 14474 K(x,y) * (T(y,x) / z) = y / z. [hyper(5285,a,14465,a)]. 14475 K(x,y) \ (y / z) = T(y,x) / z. [hyper(5283,a,14465,a)]. 14477 (x * K(y,z)) \ (x * (T(y,z) / u)) != w | L(y / u,K(y,z),x) = w. [para(14465(a,1),447(a,1,2,2))]. 14479 (x \ y) * (T(x,x \ y) / z) = (y / x) * (x / z). [para(14465(a,1),5571(a,1,2))]. 14480 T(T(x,y) / z,K(x,y)) = (x / z) * K(x,y). [para(14465(a,1),7222(a,1,1))]. 14482 K((x \ T(y,z)) \ y,u) != w | K(K(z,y) * x,T(u,y)) = w. [para(14472(a,1),7820(a,1,1,1))]. 14483 T(x,(y \ T(z,u)) \ z) = T(x,T(K(u,z) * y,z)). [para(14472(a,1),8330(a,1,2,1))]. 14484 K((((x \ y) \ 1) * (x \ 1)) \ 1,z) = K(y,z). [hyper(236,a,6142,a,b,14451,a(flip)),flip(a)]. 14485 ((x * T(y,z)) \ T(y,z)) * K(x * T(y,z),x \ 1) = y / (x * y). [hyper(236,a,5803,a,b,14461,a(flip)),flip(a)]. 14486 T(x,y * L(y \ 1,y,z)) / ((1 / (y * L(y \ 1,y,z))) \ x) = 1 / (y * ((z * y) \ z)). [para(7043(a,1),14464(a,2,2))]. 14487 (K(x,y) * z) \ x = z \ (x * K(y,x)). [hyper(236,a,14225,a,b,14468,a)]. 14488 (T(T(x,y),x \ z) * u) \ T((x \ z) \ z,y) = (T(x,y) * u) \ T(x,y). [para(259(a,1),14471(a,1,2))]. 14489 (T(T(x,y),x \ z) * u) \ T((x \ z) \ z,y) = (((x \ z) \ z) * u) \ ((x \ z) \ z). [para(259(a,2),14471(a,1,1,1))]. 14490 ((x / y) * z) \ ((y \ x) * K(y,y \ x)) = ((y \ x) * z) \ (y \ x). [para(5546(a,1),14487(a,1,1)),flip(a)]. 14493 (T(x,y) * z) \ T(x,y) != u | (x * z) \ x = u. [para(4906(a,1),14467(a,1,1))]. 14495 ((x * K(x * (y \ z),z \ y)) \ u) \ (K(z \ y,(y \ z) * x) * (x \ T(u,w / (x * K(x * (y \ z),z \ y))))) = T(K(u,(x * K(x * (y \ z),z \ y)) \ w),(x * K(x * (y \ z),z \ y)) \ u). [hyper(394,a,13779,a(flip),b,14443,a),flip(a)]. 14496 R(K(x,y) \ (T(x,y) / z),K(x,y),z) / K(x,y) = x / (K(x,y) * z). [hyper(74,a,632,a,b,14480,a(flip))]. 14498 K(((((x \ 1) \ y) \ 1) * x) \ 1,z) = K(y,z). [hyper(236,a,5921,a(flip),b,14484,a(flip)),flip(a)]. 14499 T(x,y) / ((1 / z) \ x) = K(x,y) / z. [para(14498(a,1),6783(a,2,1))]. 14500 K(x,y) * (1 / z) = K(x,y) / z. [hyper(14470,a,14499,a)]. 14502 K(x,y) * (K(y,x) / z) = 1 / z. [hyper(5285,a,14500,a)]. 14503 K(x,y) / (z \ 1) = K(x,y) * z. [hyper(536,a,14500,a),flip(a)]. 14504 K(x,y) / (z \ 1) != u | K(x,y) * z = u. [para(14500(a,1),536(a,1))]. 14505 T(x,y) * (K(y,x) / z) = x * (1 / z). [para(14500(a,1),5207(a,1,2))]. 14506 (K(x,y) * z) * (K(x,y) * (1 / (K(x,y) * z))) = K(x,y) * K(K(x,y) * z,z \ 1). [para(14500(a,2),6020(a,1,2))]. 14507 K((x * (K(y,z) * (u \ 1))) \ w,v5) = K((x * (K(y,z) / u)) \ w,v5). [para(14500(a,1),5743(a,1,1,1,2)),flip(a)]. 14508 T(K(x,y) / z,K(x,y)) = (1 / z) * K(x,y). [para(14500(a,1),7222(a,1,1))]. 14509 (K(x,y) / z) * K(y,x) = T(1 / z,K(x,y)). [para(14500(a,1),7986(a,1,1))]. 14510 K(x,L(y,z \ 1,z)) / u = K(x,y) * (1 / u). [para(14042(a,1),14500(a,1,1)),flip(a)]. 14511 1 / (x \ K(y,z)) = K(z,y) * x. [hyper(536,a,14502,a),flip(a)]. 14512 K(x,y) * (1 / z) != u | K(x,y) / z = u. [para(14502(a,1),5271(a,1,2)),flip(b)]. 14513 (K(x,y) * z) \ K(x,y) = z \ 1. [para(14503(a,1),65(a,1,1))]. 14514 (K(x,y) * z) \ K(x,y) != u | z \ 1 = u. [para(14503(a,1),282(a,1,1)),flip(b)]. 14516 (K(x,y) * z) * T(z \ 1,u) != w * v5 | (K(x,y) * K(z \ 1,u)) / v5 = w. [para(14503(a,1),6230(a,1,1))]. 14517 K(x,y) * K(z \ 1,z * K(x,y)) = (z \ 1) * (K(x,y) * z). [para(14503(a,1),7103(a,1,2)),flip(a)]. 14518 (K(x,y) * z) \ 1 = z \ K(y,x). [para(14511(a,1),65(a,1,1))]. 14519 (K(x,y) * z) \ 1 != u | z \ K(y,x) = u. [para(14511(a,1),282(a,1,1)),flip(b)]. 14520 K(x,(K(y,z) * u) \ w) = K(x,(u \ K(z,y)) * w). [para(14511(a,1),14125(a,1,2,1))]. 14521 K(x / (K(y,z) * u),w) = K(x * (u \ K(z,y)),w). [para(14511(a,1),14138(a,1,1,2))]. 14522 T(x,(y \ K(z,u)) \ w) = T(x,(K(u,z) * y) * w). [para(14511(a,1),14239(a,1,2,1)),flip(a)]. 14523 T(x,(K(y,z) * u) * w) != v5 | T(x,(u \ K(z,y)) \ w) = v5. [para(14511(a,1),14300(a,1,2,1))]. 14524 L(x \ 1,x,K(y,z)) = x \ 1. [hyper(383,a,14513,a)]. 14525 T(x,K(y,z)) \ 1 != u | (x * K(y,z)) \ K(y,z) = u. [para(14513(a,1),518(a,1))]. 14526 (T(x,y) \ z) \ 1 = (x \ z) \ K(x,y). [para(5178(a,1),14513(a,1,1)),flip(a)]. 14527 (T(x,y) \ z) \ K(y,x) = (x \ z) \ 1. [para(5204(a,1),14513(a,1,1))]. 14528 ((x / y) \ z) \ K(y \ x,y) = ((y \ x) \ z) \ 1. [para(5507(a,1),14513(a,1,1))]. 14529 ((x \ y) \ z) \ K(x,x \ y) = ((y / x) \ z) \ 1. [para(5757(a,1),14513(a,1,1))]. 14530 ((x * K(y,z)) \ K(y,z)) \ 1 = T((x \ 1) \ 1,K(y,z)). [para(14513(a,1),11824(a,1,1,1)),flip(a)]. 14534 (x * (K(y,z) * u)) * ((K(y,z) * u) \ 1) = R(x,K(y,z) * u,u \ K(z,y)). [para(14518(a,1),189(a,2,3))]. 14535 T(x,y / (1 / (K(z,u) * w))) = T(x,y / (w \ K(u,z))). [para(14518(a,1),4475(a,2,2,2))]. 14536 K(K(x,y) * z,(K(x,y) * z) \ 1) = (z \ K(y,x)) \ (1 / (K(x,y) * z)). [para(14518(a,1),5057(a,1,1)),flip(a)]. 14537 (K(x,y) * K(z,u)) \ 1 != w | K(u,z) * K(y,x) = w. [para(14518(a,2),5286(a,1))]. 14540 a(x,(y \ K(z,u)) \ 1,w) = a(x,K(u,z) * y,w). [para(14518(a,1),10970(a,1,2,1))]. 14541 K(x,y / (K(z,u) * w)) = K(x,y * (w \ K(u,z))). [para(14518(a,1),14060(a,1,2,2)),flip(a)]. 14542 L(T(x,y),z,u) * (K(y,L(x,z,u)) / w) = L(x,z,u) * (1 / w). [para(40(a,2),14505(a,1,1))]. 14543 (x \ ((y * (x \ 1)) \ z)) \ K(x,x \ 1) = (x \ ((y * (1 / x)) \ z)) \ 1. [para(4688(a,1),14526(a,1,1)),flip(a)]. 14545 K(x,y * ((z \ u) \ K(z,w))) != v5 | K(x,y / (T(z,w) \ u)) = v5. [para(14526(a,1),14282(a,1,2,2))]. 14546 K(x * ((y \ z) \ K(y,u)),w) != v5 | K(x / (T(y,u) \ z),w) = v5. [para(14526(a,1),14377(a,1,1,2))]. 14548 a((x \ (T(x,y) / (T(x,y) / z))) \ 1,u,w) = a((z / T(x,y)) \ K(y,x),u,w). [para(14527(a,1),13628(a,1,1))]. 14550 K(x,y) * (K(z,u) / u) != w | K(x,y) / T(u,z) = w. [para(4832(a,2),14512(a,1,2))]. 14552 ((1 / x) * K(y,z)) * K(u,x) = K(y,T(z,x)) / T(x,u). [para(14508(a,1),9758(a,1,1))]. 14553 T(1 / (x * K(y,z)),K(z,y)) = (1 / x) * K(z,y). [para(14189(a,2),14508(a,1,1))]. 14555 L(x,x \ K(y,z),x) \ 1 = 1 / x. [hyper(17,a,13363,a,b,14510,a(flip)),flip(a)]. 14557 L(x,x \ K(y,z),x) = 1 / (1 / x). [para(14555(a,1),62(a,1,2)),flip(a)]. 14559 a(x,y,a(z,u,K(w,v5))) * K(x,v5) = K(x,L(v5,y,1 / a(w,u,z))). [para(13995(a,2),14404(a,1,1,3))]. 14560 K((x * y) \ z,y * x) = K(y \ (x \ z),y * x). [hyper(236,a,6633,a,b,14410,a(flip)),flip(a)]. 14561 x * K(y \ (z \ x),y * z) = ((y * z) \ x) * (y * z). [para(14410(a,1),249(a,1,2))]. 14562 K(L(x \ y,x,z / y),(z / y) * x) = K((z / y) \ (x \ z),(z / y) * x). [para(454(a,2),14410(a,1,1))]. 14563 K(x \ (y \ z),x * y) \ 1 = K(x * y,(x * y) \ z). [para(14410(a,1),5093(a,1,1))]. 14564 K(x \ (y \ z),x * y) * K((x * y) \ z,K(x,y)) = K((x * y) \ z,y * x). [para(14410(a,1),13242(a,1,1))]. 14565 K(x,L(y,z \ u,z)) = K(x,L(y,u,z)). [hyper(236,a,14017,a(flip),b,14419,a)]. 14566 K((x * ((x \ y) * z)) \ y,u) = K(z \ 1,L(u,y,x)). [hyper(11641,a,14565,a)]. 14567 K(x,L(y \ (z \ u),u,z)) = K(x,(z * y) \ u). [hyper(11497,a,14565,a),flip(a)]. 14568 K(x \ (y * (z * (y \ x))),u) = K(z,L(T(u,y \ x),x,y)). [hyper(236,a,11691,a(flip),b,14565,a(flip)),flip(a)]. 14569 K((x \ y) \ z,L(u,y,x)) = K(y \ (x * z),u). [hyper(236,a,11544,a(flip),b,14565,a(flip))]. 14570 K(x,L((y \ z) \ u,z,y)) = K(x,z \ (y * u)). [para(450(a,1),14565(a,1,2)),flip(a)]. 14572 K(x,L(y,z,u \ z)) = K(x,L(y,u,u \ z)). [para(11123(a,1),14565(a,1,2)),flip(a)]. 14573 K(x,L(y,z,z \ x)) != u | K(x,y) = u. [para(14572(a,1),10721(a,1))]. 14574 K(x * y,L(z,x,y)) != u | K(x * y,z) = u. [para(13(a,1),14573(a,1,2,3))]. 14575 K(x \ y,(y * z) \ x) = K(x \ y,z \ (y \ x)). [hyper(14341,a,14567,a),flip(a)]. 14576 K(x,(y * (z \ (y \ u))) \ u) = K(x,L(T(z,y \ u),u,y)). [hyper(11359,a,14567,a),flip(a)]. 14577 K(x,(y * ((y \ z) * u)) \ z) = K(x,L(u \ 1,z,y)). [hyper(236,a,11605,a(flip),b,14567,a(flip))]. 14578 K(a(x \ 1,x,y) \ z,L(u,y,L(y,x,x \ 1))) = K(y \ (L(y,x,x \ 1) * z),u). [para(3682(a,1),14569(a,1,1,1))]. 14579 K((K(x,T(y,z)) \ u) \ (z * x),L(w,u,K(x,T(y,z)))) = K(u \ (z * T(x,y)),w). [para(8156(a,1),14569(a,2,1,2))]. 14580 K(x,(y \ x) \ z) = K(x,x \ (y * z)). [hyper(10721,a,14570,a)]. 14581 K(x,L(a(y \ 1,y,z) \ u,z,L(z,y,y \ 1))) = K(x,z \ (L(z,y,y \ 1) * u)). [para(3682(a,1),14570(a,1,2,1,1))]. 14582 K(x,L((y * K(z,u)) \ w,u,T(u,z) / y)) = K(x,u \ ((T(u,z) / y) * w)). [para(14433(a,1),14570(a,1,2,1,1))]. 14583 a(x,y * z,K(u,K(w,y))) = a(x,z,K(u,K(w,y))). [para(7923(a,2),14420(a,2,3))]. 14584 K(L(x,y,x \ z),u) = K(L(x,y,z),u). [hyper(236,a,5266,a(flip),b,14422,a)]. 14585 K(L(x,y,x \ z),u) = K(x,L(u,y,z)). [hyper(236,a,11533,a(flip),b,14584,a)]. 14586 K(x,L(y,z,x \ u)) = K(x,L(y,z,u)). [hyper(11595,a,14585,a)]. 14587 a(x,y,a(z,u,K(w,v5))) = a(x,z,a(y,u,K(w,v5))). [para(14004(a,2),14424(a,1,3))]. 14588 x * (T(y / x,(y / x) \ y) / z) = (y / (y / x)) * ((y / x) / z). [hyper(582,a,14479,a)]. 14589 1 / (K(x,y) * z) = (1 / z) * K(y,x). [hyper(236,a,9340,a(flip),b,14553,a(flip)),flip(a)]. 14590 (1 / K(x,x \ K(y,z))) * K(z,y) = 1 / (x * (K(y,z) / x)). [para(5079(a,1),14589(a,1,2)),flip(a)]. 14591 K(x,y) * ((1 / z) * K(u,w)) != v5 | K(x,y) / (K(w,u) * z) = v5. [para(14589(a,1),14512(a,1,2))]. 14592 K((x \ y) \ (x \ T(y,z)),u \ ((x \ T(y,z)) \ (x \ y))) = K(K(y,z),((x \ T(y,z)) * u) \ (x \ y)). [para(14436(a,1),14575(a,1,1)),flip(a)]. 14593 K(x,L(y,z,y \ u)) != w | K(x,L(y,z,u)) = w. [para(14334(a,1),14022(a,1))]. 14594 K(x,L(y,z \ u,z)) != w | K(x,L(y,u,z)) = w. [para(14419(a,2),14022(a,1))]. 14595 K(x,L(y,z,z \ u)) != w | K(x,L(y,u,z \ u)) = w. [para(11123(a,1),14594(a,1,2))]. 14596 a(x,y,K(z,L(u,w,v5))) * K(x,u) != v6 | K(x,L(u,y,L(z,w,v5))) = v6. [para(11533(a,1),14025(a,1,1,3))]. 14598 a(x,y,K(z,u)) * w != v5 | a(u,y,K(x,z)) * w = v5. [para(11995(a,1),14029(a,1,2)),flip(b)]. 14599 (x * (y * z)) \ (L(x,z,y) * (y * z)) = ((y * z) * x) \ (y * (z * x)). [hyper(72,a,14206,a(flip),b,11069,a)]. 14601 a(x,y,K(z,y \ u)) != w | a(x,u,K(u \ y,z)) = w. [para(11563(a,1),14328(a,1))]. 14603 a(x,y,K(z,u)) \ w != v5 | a(z,y,K(x,u)) * w = v5. [para(14027(a,2),14351(a,1))]. 14604 K(x,a(y,z \ u,z)) = K(x,a(y,u,z)). [hyper(14356,a,14355,a),flip(a)]. 14605 T(x,a(y,z \ u,z)) = x * K(x,a(y,u,z)). [para(14604(a,1),4887(a,2,2))]. 14606 T(x,a(y,z \ u,z)) = T(x,a(y,u,z)). [hyper(236,a,4887,a,b,14605,a)]. 14607 T(x,a(y,z * u,z)) = T(x,a(y,u,z)). [para(13(a,1),14606(a,1,2,2)),flip(a)]. 14609 (x * K(y,z)) \ K(y,z) = T(x \ 1,K(y,z)). [hyper(14525,a,9387,a)]. 14610 T(x \ 1,K(y,z)) * K(z,y) = (x * K(y,z)) \ 1. [para(14609(a,1),14088(a,1,1))]. 14611 (x * K(y,z)) \ 1 = K(z,y) * (x \ 1). [hyper(7674,a,14610,a),flip(a)]. 14612 K(x,y / (z / (1 / (u * K(w,v5))))) = K(x,y / (z / (K(v5,w) * (u \ 1)))). [para(14611(a,1),5752(a,2,2,2,2))]. 14613 T(x * K(y,z),x \ K(z,y)) = (K(z,y) * (x \ 1)) \ 1. [para(14611(a,1),5118(a,2,1))]. 14614 K(x,y) * ((z / x) \ 1) = (z / T(x,y)) \ 1. [para(7555(a,1),14611(a,1,1)),flip(a)]. 14615 K(x,y) * ((z \ 1) \ 1) = (z \ K(y,x)) \ 1. [para(14046(a,1),14611(a,1,1)),flip(a)]. 14616 K(x / (K(y,z) * (u \ 1)),w) != v5 | K(x * (u * K(z,y)),w) = v5. [para(14611(a,1),14140(a,1,1,2))]. 14617 K(x,(K(y,z) * (u \ 1)) \ w) != v5 | K(x,(u * K(z,y)) * w) = v5. [para(14611(a,1),14234(a,1,2,1))]. 14620 (x * (K(y,z) / x)) \ 1 != u | K(x \ K(y,z),x) * K(z,y) = u. [para(5079(a,1),14537(a,1,1))]. 14621 K(x,y) * (L(K(y,x),z,u) * w) != v5 | a(y,z,K(u,x)) * w = v5. [para(10185(a,2),14598(a,1))]. 14623 K(x,y) * (a(x,z,K(u,y)) * w) = L(K(x,y),z,u) * w. [hyper(5285,a,14016,a)]. 14624 K(x * (y * (x \ 1)),z) = K(y,T(z,x \ 1)). [hyper(7826,a,14112,a),flip(a)]. 14625 K(x * (y * (x \ 1)),z) != u | K(y,T(z,x)) = u. [para(14624(a,2),9368(a,1))]. 14626 K((x \ y) * z,x) = K(y * (x \ z),x). [hyper(14103,a,14171,a),flip(a)]. 14627 K(x \ (y * z),x) = K((x \ y) * z,x). [hyper(236,a,10745,a,b,14626,a),flip(a)]. 14628 (x * K(y * (z \ u),z)) \ (x * z) = T(z,(z \ y) * u). [para(14626(a,1),7636(a,1,1,2))]. 14629 K((x \ (y * x)) * z,x) * (((x * y) * z) / x) = x \ ((x * y) * z). [para(14627(a,1),11136(a,1,1))]. 14630 K(T((x / y) \ 1,x),(1 / (y / (((x / y) \ 1) \ y))) * z) = K((((x / y) \ 1) \ y) \ y,z / (y / (((x / y) \ 1) \ y))). [para(4410(a,2),14183(a,1,1))]. 14631 K((x \ y) \ (T(x,z) \ 1),u) != w | K(y \ K(z,x),u) = w. [para(14222(a,2),6499(a,1))]. 14632 T(x,(y * z) \ 1) = T(x,z \ (y \ 1)). [hyper(5356,a,14223,a),flip(a)]. 14633 T(x,a(y * z,(y * z) \ y,z)) = T(x,z \ (((y * z) \ y) \ 1)). [hyper(236,a,6380,a,b,14632,a(flip)),flip(a)]. 14634 (x \ ((y * z) \ x)) * T(x,z \ (y \ 1)) = (y * z) \ x. [para(14632(a,1),4073(a,1,2))]. 14635 T(x,T(y,z \ u) / (u \ z)) != w | T(x,(u \ z) \ y) = w. [para(14252(a,2),14260(a,1))]. 14636 K((x \ 1) \ y,z) != u | K(x * y,z) = u. [para(320(a,1),14279(a,1,2))]. 14638 K((1 / x) \ y,z) != u | K(x * y,z) = u. [para(5430(a,2),14636(a,1))]. 14641 1 / ((x * ((x / y) \ 1)) / x) = x / (x * (y / x)). [hyper(236,a,10452,a(flip),b,14376,a)]. 14642 (x * ((x / y) \ 1)) / x = (x / (x * (y / x))) \ 1. [para(14641(a,1),65(a,1,1)),flip(a)]. 14643 x / (x * (((y / x) \ 1) \ 1)) = ((x * ((x / y) \ 1)) / x) \ 1. [para(14642(a,2),3058(a,2,1))]. 14645 K(x * y,(x * y) \ z) = K(x * y,x \ (y \ z)). [hyper(5116,a,14563,a),flip(a)]. 14646 x * K(y * z,y \ (z \ x)) = (y * z) * (x / (y * z)). [para(14645(a,1),5079(a,1,2))]. 14647 x * K(y * z,y \ (z \ x)) != u | (y * z) * (x / (y * z)) = u. [para(14645(a,1),5323(a,1,2))]. 14648 T(x * K(y,z),x \ K(z,y)) = (x \ 1) \ K(y,z). [hyper(236,a,14518,a(flip),b,14613,a)]. 14649 K(x,y) * (a(x,z,K(u,y)) * w) = K(x,L(y,z,u)) * w. [para(11470(a,1),14623(a,2,1))]. 14650 T(x,(x \ y) * z) = T(x,y * (x \ z)). [hyper(7639,a,14628,a),flip(a)]. 14651 T(x,R(x,y,z) * (x \ u)) = T(x,u * (x \ R(x,y,z))). [hyper(13153,a,14650,a)]. 14652 ((1 / x) * (((y * x) \ y) \ y)) * (z / ((1 / x) * (((y * x) \ y) \ y))) = z * K((y * x) * (1 / x),(1 / x) \ ((((y * x) \ y) \ y) \ z)). [para(6402(a,1),14646(a,1,2,1)),flip(a)]. 14653 K(x,y) * (a(y,z,K(x,u)) * w) = K(x,L(y,z,u)) * w. [para(13990(a,1),14649(a,1,2,1))]. 14654 K(x,y) * (K(x,a(y,z,u)) * w) = K(x,L(y,z,u)) * w. [para(14004(a,1),14649(a,1,2,1))]. 14655 T(x,y * (x \ R(x,z,u))) != x * w | K(x,R(x,z,u) * (x \ y)) = w. [para(14651(a,1),4954(a,1))]. 14656 K(x,a(y,z,u)) * (K(x,y) * w) = K(x,L(y,z,u)) * w. [hyper(17,a,10500,a,b,14654,a)]. 14657 ((K(x,y) * z) * u) * a(x,z,K(y,u)) = K(x,y) * (z * u). [hyper(236,a,10224,a(flip),b,13992,a(flip)),flip(a)]. 14658 K(T(x * (y \ 1),z) \ u,x * (y \ 1)) = K(y * (x \ u),L(x * (y \ 1),y \ 1,x)). [hyper(236,a,7486,a,b,14107,a),flip(a)]. 14659 ((x * y) / ((1 / x) \ y)) \ T(x * y,z) = T((1 / x) \ y,z). [hyper(14178,a,14441,a(flip)),flip(a)]. 14660 T(x * y,L(z,y,x)) = T(x * y,z). [hyper(5356,a,14204,a),flip(a)]. 14661 T(x * (x \ y),(x \ y) \ z) = T(x * (x \ y),y \ (x * z)). [para(450(a,1),14660(a,1,2)),flip(a)]. 14662 K(x,L(y * (z \ u),u,z)) = K(x,(z * (y \ 1)) \ u). [hyper(14399,a,14567,a)]. 14663 K(x,L(y * (K(z,y) * (u \ 1)),w,v5)) != v6 | K(x,L(((z * y) / z) / u,w,v5)) = v6. [para(5525(a,1),14401(a,1,2,1))]. 14664 K(x,L(y * T((z \ u) \ 1,u),w,v5)) != v6 | K(x,L(y / (z \ T(u,u \ z)),w,v5)) = v6. [para(11822(a,1),14401(a,1,2,1,2))]. 14665 (x * (y \ z)) \ (x * (y \ T(z,u))) != w | K(z,L(u,y \ z,x)) = w. [para(14445(a,2),11589(a,1))]. 14666 K(x,L(T(y,z \ u),u,z)) * K(x,K(u,z * (y \ (z \ u)))) = K(x,u / (z * (y \ (z \ u)))). [para(14576(a,1),9403(a,1,1))]. 14667 x * (x / (y * (K(z,u) * (y \ x)))) = K(u,L(T(z,y \ x),x,y)) * x. [para(14576(a,1),8234(a,1,1)),flip(a)]. 14668 ((K(x,y) * z) * u) * a(y,z,K(u,x)) = K(x,y) * (z * u). [hyper(236,a,14009,a,b,14657,a(flip)),flip(a)]. 14669 (K(x,y) * z) * T(u,a(y,z,x)) = K(x,y) * (z * u). [hyper(13867,a,14668,a)]. 14670 L(x,y,K(z,u)) = T(x,a(u,y,z)). [hyper(436,a,14669,a)]. 14671 a(x,y,K(z,u)) * x = L(x,y,K(z,u)). [hyper(236,a,14034,a,b,14670,a),flip(a)]. 14672 x * a(x,y,K(z,u)) = L(x,y,K(z,u)). [hyper(236,a,14033,a,b,14670,a),flip(a)]. 14673 x * a(y,z,K(u,x)) = L(x,z,K(y,u)). [hyper(236,a,14032,a,b,14670,a),flip(a)]. 14674 a(x,y,K(z,u)) * z = L(z,y,K(u,x)). [hyper(236,a,13865,a,b,14670,a),flip(a)]. 14675 x * a(y,z,K(x,u)) = L(x,z,K(u,y)). [hyper(236,a,13864,a,b,14670,a),flip(a)]. 14676 L(x,y * z,K(y,u)) = T(x,a(u,z,y)). [hyper(236,a,14607,a(flip),b,14670,a)]. 14677 L(T(x,y),z,K(u,y)) = T(x,L(y,z,u)). [hyper(236,a,14361,a(flip),b,14670,a)]. 14678 L(a(x,y,y \ 1),z,K(u,w)) = a(x,y,y \ 1). [hyper(236,a,13885,a(flip),b,14670,a)]. 14679 x \ L(x,y,K(z,u)) = a(x,y,K(z,u)). [hyper(72,a,14670,a,b,14033,a)]. 14680 x \ L(x,y,K(z,u)) = a(z,y,K(u,x)). [hyper(72,a,14670,a,b,14032,a)]. 14681 T(x \ (K(y,z) * u),a(y,x,z)) = (K(z,y) * x) \ u. [hyper(236,a,5276,a(flip),b,14670,a(flip))]. 14682 a(x,y,z) * L(u,y,K(z,x)) = u * a(x,y,z). [para(14670(a,2),119(a,1,2))]. 14683 a(x,y,z) * L(u,y,K(z,x)) != w | u * a(x,y,z) = w. [para(14670(a,2),220(a,1,2))]. 14684 L(x / a(y,z,u),z,K(u,y)) != w | a(y,z,u) \ x = w. [para(14670(a,2),280(a,1))]. 14685 (x * L(y,z,K(u,w))) \ (x * y) = K(a(w,z,u),y). [para(14670(a,2),7576(a,1,1,2))]. 14686 a(x,y,K(z,u)) * (u \ w) = L(u,y,K(z,x)) \ w. [para(14670(a,2),13877(a,2,1))]. 14687 (x \ y) * a(y,z,K(u,w)) = x \ L(y,z,K(u,w)). [para(14670(a,2),14449(a,2,2))]. 14688 L(x,y,K(z,u)) != w | T(x,a(u,y,z)) = w. [para(14671(a,1),14077(a,1))]. 14689 T(x,a(y,z,u) \ x) = L(x,z,K(y,u)). [hyper(236,a,14037,a,b,14672,a(flip)),flip(a)]. 14692 L(x,y \ 1,K(y,z)) != u | u = x. [para(14672(a,1),10193(a,1))]. 14693 x * a(x,y,K(z \ 1,u)) = L(x,y,K(u,z)). [para(12007(a,2),14672(a,1,2))]. 14694 L(x,x \ y,K(z,u)) = x * a(x,y,K(z,u)). [para(14412(a,1),14672(a,1,2)),flip(a)]. 14695 (a(x,y,z) * u) / a(x,y,z) = L(u,y,K(x,z)). [hyper(13878,a,14673,a)]. 14697 L(x,y,K(z,u * x)) = x * a(z,y,K(u,x)). [para(11743(a,1),14673(a,1,2)),flip(a)]. 14698 (x \ y) * a(y,z,K(u,x)) = L(x \ y,z,K(u,x)). [para(13997(a,1),14673(a,1,2))]. 14699 L(x,y * z,K(u,y)) = x * a(u,z,K(y,x)). [para(14417(a,1),14673(a,1,2)),flip(a)]. 14700 a(x,y,K(z,u)) * (z * w) = L(z,y,K(u,x)) * w. [para(14674(a,1),13684(a,1,1)),flip(a)]. 14701 (x * y) * a(z,u,K(y,w)) = x * L(y,u,K(w,z)). [para(14675(a,1),10232(a,2,2))]. 14702 T(x,a(y * z,y,z)) = x. [hyper(13037,a,14676,a)]. 14704 L(x \ y,z,K(u,x)) = T(y / x,L(x,z,u)). [para(121(a,1),14677(a,1,1))]. 14705 L(x,y,K(z,u)) * u = u * T(x,L(u,y,z)). [para(14677(a,1),181(a,1,2)),flip(a)]. 14707 L(a(x,y,z),u,K(w,y)) = T(a(x,y,z),L(y,u,w)). [para(13905(a,1),14677(a,1,1))]. 14708 T(x,L(y,z \ 1,z)) != u | T(x,y) = u. [para(14677(a,1),14692(a,1)),flip(b)]. 14709 x * a(x,y,K(z,u)) != w | L(x,y,K(z,u)) = w. [para(14679(a,1),216(a,1,2)),flip(b)]. 14711 x * a(y,z,K(u,x)) != w | L(x,z,K(y,u)) = w. [para(14680(a,1),216(a,1,2)),flip(b)]. 14712 a(x,y,z) * (u / a(x,y,z)) = L(u,y,K(x,z)). [hyper(236,a,13906,a(flip),b,14689,a(flip)),flip(a)]. 14713 a(x,y,z) \ L(u,y,K(x,z)) = u / a(x,y,z). [hyper(72,a,14689,a(flip),b,13906,a(flip))]. 14714 L(x,y,K(z \ 1,u)) = L(x,y,K(u,z)). [hyper(236,a,14672,a(flip),b,14693,a(flip)),flip(a)]. 14715 T(x,L(y,z,u \ 1)) = L(T(x,y),z,K(y,u)). [hyper(236,a,14677,a(flip),b,14714,a(flip)),flip(a)]. 14716 L(x,y,K(z \ (u * (w \ 1)),w)) = L(x,y,K(w \ 1,z \ u)). [hyper(236,a,13503,a(flip),b,14714,a(flip))]. 14717 L(x,y,K(z,u \ 1)) = L(x,y,K(u,z)). [para(3247(a,1),14714(a,1,3)),flip(a)]. 14718 L(x,y,K(z \ u,w)) = L(x,y,K(w,u \ z)). [para(6269(a,1),14714(a,1,3))]. 14719 L(x,y,K(z \ (u \ 1),w)) = L(x,y,K(w,u * z)). [para(14043(a,1),14714(a,1,3))]. 14721 L(x,y,K(K(z,u) * w,v5)) = L(x,y,K(v5,w \ K(u,z))). [para(6410(a,1),14717(a,1,3)),flip(a)]. 14722 L(x,x \ y,K(z,u)) = L(x,y,K(z,u)). [hyper(236,a,14672,a(flip),b,14694,a)]. 14723 L(x,x \ T(y,z),K(u,y)) = x. [hyper(236,a,6839,a(flip),b,14722,a)]. 14724 L(x,T(y,x),K(z,u)) = L(x,y * x,K(z,u)). [para(32(a,2),14722(a,1,2))]. 14725 (K(x,y) * z) / L(u,z,K(x,y)) = K(x,y) * (z / u). [para(14722(a,1),10740(a,1,2))]. 14726 (x * y) / L(z,y * x,K(x,y)) = K(x,y) * ((y * x) / z). [para(14722(a,1),10742(a,1,2))]. 14727 (K(x,y) * T(y,z)) / u = K(x,y) * (T(y,z) / u). [para(14723(a,1),10740(a,1,2))]. 14728 L(x,y,K(z,u * x)) = L(x,y,K(z,u)). [hyper(236,a,14673,a(flip),b,14697,a)]. 14729 L(L(x,y,z),z * y,K(z,u)) = L(x,y,T(z,u * L(x,y,z))). [hyper(6750,a,14728,a),flip(a)]. 14730 L(x,y,K(z,u \ 1)) = L(x,y,K(z,u \ x)). [para(14126(a,1),14728(a,1,3)),flip(a)]. 14731 L(x,y * z,K(u,y)) = L(x,z,K(u,y)). [hyper(236,a,14673,a(flip),b,14699,a)]. 14732 L(x,y \ z,K(u,y)) = L(x,z,K(u,y)). [para(14(a,1),14731(a,1,2)),flip(a)]. 14733 L(x,y \ z,K(u,y)) = T(x,a(y,z,u)). [hyper(236,a,14670,a(flip),b,14732,a)]. 14734 T(x,a(y,y \ z,u)) = T(x,a(y,z,u)). [hyper(14688,a,14733,a)]. 14735 L(x,y,z) * L(x \ u,y,K(z,x)) != w | (u / x) * L(x,y,z) = w. [para(14704(a,2),220(a,1,2))]. 14736 (K(x,L(y,z,K(u,x))) * w) / ((x * T(y,L(x,z,u))) \ w) = x * L(y,z,K(u,x)). [para(14705(a,1),11068(a,1,2,1))]. 14737 (x / y) \ (x / L(T(y,z),u,K(z,w))) = K(L(z,u,w \ 1),y). [para(14715(a,1),7587(a,1,2,2))]. 14738 (x / L(T(y,z),u,K(z,w))) * y = x * K(L(z,u,w \ 1),y). [para(14715(a,1),7612(a,1,1,2))]. 14739 (x \ y) \ (x \ L(T(y,z),u,K(z,w))) = K(y,L(z,u,w \ 1)). [para(14715(a,1),14436(a,1,2,2))]. 14740 L(T(x,y),z,K(y,u \ w)) = T(x,L(y,z,w \ u)). [hyper(236,a,14677,a(flip),b,14718,a(flip))]. 14741 L(x,y * x,K(z,u)) = L(x,y,K(z,u)). [hyper(236,a,10734,a(flip),b,14724,a(flip))]. 14742 L(x,y,K(z,u \ x)) = L(x,y,K(u,z)). [hyper(236,a,14717,a(flip),b,14730,a(flip))]. 14743 L(L(x,y,z),z * y,K(u,z)) = L(x,y,T(z,u \ L(x,y,z))). [hyper(6750,a,14742,a),flip(a)]. 14744 L(x,y,K(z,u)) * a(z,y,u) = a(z,y,u) * x. [para(14695(a,1),16(a,1,1))]. 14745 T(L(x,y,K(z,u)),a(z,y,u)) = x. [para(14695(a,1),162(a,1,1))]. 14746 L(L(x,y,K(z,u)),w,v5) * a(z,y,u) != v6 | a(z,y,u) * L(x,w,v5) = v6. [para(14695(a,1),833(a,1,1,1))]. 14747 K(x,y) * (z * L(u,z,K(y,x))) = (K(x,y) * z) * u. [para(14745(a,1),14669(a,1,2)),flip(a)]. 14749 T(x,a(y,z,u)) != w | L(x,z,K(u,y)) = w. [para(14033(a,1),14709(a,1))]. 14750 T(x,a(y,z,u) \ x) != w | L(x,z,K(y,u)) = w. [para(14037(a,2),14709(a,1))]. 14752 T(x * K(y,x),L(y,z,u)) != w | L(x,z,K(u,y)) = w. [para(14214(a,2),14749(a,1))]. 14753 L(x,y * z,K(y,u)) != w | L(x,z,K(y,u)) = w. [para(14676(a,2),14749(a,1))]. 14754 (x \ y) * a(y,z,K(u,x)) != w | L(x \ y,z,K(u,x)) = w. [para(13997(a,1),14711(a,1,2))]. 14755 x / a(y,z,L(x,u,w)) = a(y,z,L(x,u,w)) \ x. [hyper(72,a,10421,a(flip),b,14712,a),flip(a)]. 14756 T(x,y) / a(z,u,x) = a(z,u,x) \ T(x,y). [hyper(72,a,7402,a(flip),b,14712,a),flip(a)]. 14757 x / a(y,z,x) = a(y,z,x) \ x. [hyper(72,a,7400,a(flip),b,14712,a),flip(a)]. 14758 L(x * a(y,z,u),z,K(y,u)) = a(y,z,u) * x. [para(15(a,1),14712(a,1,2)),flip(a)]. 14759 K(x / a(y,z,u),a(y,z,u)) = L(x,z,K(y,u)) \ x. [para(14712(a,1),99(a,1,1)),flip(a)]. 14760 (a(x,y,z) \ z) \ z = a(x,y,z). [para(14757(a,1),65(a,1,1))]. 14763 L(x * y,y,K(x,z)) = x * y. [hyper(14753,a,13986,a)]. 14764 L(L(x,y,z),y,K(z,u)) = L(x,y,T(z,u)). [hyper(14753,a,6749,a)]. 14765 L((x * y) * z,z,K(y,x)) = (x * y) * z. [hyper(13813,a,14763,a)]. 14766 L(L(x,y,K(z,u)),y,z) = L(x,y,T(z,u)). [hyper(236,a,45,a,b,14764,a(flip)),flip(a)]. 14767 L(x \ 1,x,T(y,z)) = L(x \ 1,x,y). [para(14524(a,1),14766(a,1,1)),flip(a)]. 14768 L(x \ 1,x,y) * L(L(x \ 1,x,T(y,z)) \ 1,u,w) = L((x \ 1) * L((x \ 1) \ 1,u,w),x,T(y,z)). [para(14767(a,1),2683(a,1,1))]. 14769 (x * L(y,z,K(u,w))) \ (x * y) != v5 | a(w,z,K(u,y)) = v5. [para(14685(a,2),13907(a,1))]. 14770 a(x,y,K(z,u)) * (x \ w) = L(x,y,K(u,z)) \ w. [hyper(14598,a,14686,a)]. 14771 L(x,y,K(z,u)) \ x = a(u,y,K(z,x)). [hyper(150,a,14686,a),flip(a)]. 14772 (x \ y) * a(z,u,K(w,y)) = x \ L(y,u,K(z,w)). [hyper(236,a,14009,a,b,14687,a(flip)),flip(a)]. 14773 (x \ y) * a(z,u,K(y,w)) = x \ L(y,u,K(w,z)). [hyper(236,a,14009,a(flip),b,14687,a(flip)),flip(a)]. 14774 L(x \ y,z,K(u,x)) = x \ L(y,z,K(u,x)). [hyper(236,a,14687,a(flip),b,14698,a(flip))]. 14775 x \ L(y * x,z,K(u,x)) = L(T(y,x),z,K(u,x)). [para(32(a,2),14774(a,1,1)),flip(a)]. 14776 a(x,y,K(z,u)) * (L(z,y,K(x,u)) * w) = z * w. [hyper(14030,a,14700,a)]. 14777 L(a(x,y,z),u,K(w,y)) != v5 | a(x,y,z) = v5. [para(14707(a,2),13902(a,1))]. 14778 L(a(x,y,z),u,K(y,w)) != v5 | a(x,y,z) = v5. [para(13517(a,1),14777(a,1))]. 14779 a(x,y,z) = (x * (T(y,x) * z)) \ ((y * x) * z). [hyper(14778,a,11212,a)]. 14781 a(x,T(y,x),z) = a(x,y,z). [hyper(236,a,174,a(flip),b,14779,a),flip(a)]. 14782 ((x * y) * z) / a(y,x,z) != u | y * (T(x,y) * z) = u. [para(14779(a,2),294(a,1,2)),flip(b)]. 14783 a(x / y,y,z) = a(y \ x,y,z). [hyper(236,a,6089,a(flip),b,14781,a(flip)),flip(a)]. 14784 a(x \ y,x,K(z,u)) = a(u,x,K(y / x,z)). [hyper(14287,a,14783,a),flip(a)]. 14785 a(x \ (y * x),x,z) = a(y,x,z). [para(15(a,1),14783(a,1,1)),flip(a)]. 14786 a(x,y,K((y * z) / y,u)) = a(z,y,K(u,x)). [para(13(a,1),14784(a,1,1)),flip(a)]. 14787 a(x,y,K(z,T(u,y))) = a(z,y,K(u,x)). [para(8067(a,1),14786(a,1,3))]. 14788 x \ L(x * y,z,K(u,w)) = y * a(w,z,K(x * y,u)). [para(13(a,1),14773(a,1,1)),flip(a)]. 14789 x \ L(y * x,z,K(u,x)) = T(y,L(x,z,u)). [hyper(236,a,14677,a(flip),b,14775,a)]. 14790 L(x * y,z,K(u,y)) = y * T(x,L(y,z,u)). [para(14789(a,1),14(a,1,2)),flip(a)]. 14791 L(x * y,z,K(u,y)) = L(x,z,K(u,y)) * y. [hyper(236,a,14705,a,b,14790,a)]. 14792 (K(x,y) * (x \ y)) / z = K(x,y) * ((x \ y) / z). [para(13507(a,1),14725(a,1,2))]. 14793 K(x / y,x) * (((x / y) \ x) / z) = (K(x / y,x) * y) / z. [para(65(a,1),14792(a,1,1,2)),flip(a)]. 14794 L(L(L(x,y,K(z,u)) \ 1,L(x,y,K(z,u)),y),y * L(x,y,K(z,u)),K(u,z)) = ((K(u,z) * y) * x) \ (K(u,z) * y). [para(14747(a,1),382(a,2,1))]. 14795 K(x / a(y,z,u),a(y,z,u)) = a(u,z,K(y,x)). [hyper(236,a,14771,a(flip),b,14759,a)]. 14796 K(a(x,y,z) \ u,a(x,y,z)) = a(z,y,K(x,u)). [hyper(5335,a,14795,a)]. 14797 K(a(x,y,z) \ u,u) = a(z,y,K(x,u)). [hyper(236,a,13908,a(flip),b,14796,a(flip)),flip(a)]. 14798 K(a(x,y,z) \ u,u) = a(u,y,K(z,x)). [hyper(236,a,13990,a(flip),b,14797,a)]. 14799 a(x,y,K(z,u)) * (w * ((a(z,y,x) \ u) * a(z,y,K(x,u)))) = T(w * (a(z,y,x) \ u),K(a(z,y,x) \ u,u)). [para(14797(a,1),13920(a,1,1))]. 14800 T(x * a(x,y,K(z,u)),a(u,y,z) \ 1) = R(x,a(u,y,z) \ 1,x). [para(14798(a,1),5498(a,1,1,2))]. 14801 x * (y * a(z,u,K(x * y,w))) = L(x * y,u,K(w,z)). [para(14788(a,1),14(a,1,2))]. 14802 (K(x * a(y,z,K(u * x,w)),u) * v5) / (L(u * x,z,K(w,y)) \ v5) = (x * a(y,z,K(u * x,w))) * u. [para(14801(a,1),11068(a,1,2,1))]. 14803 x * (y * a(z,u,K(y * x,w))) = L(x * y,u,K(T(w,y),z)). [para(13395(a,1),14801(a,1,2,2,3))]. 14804 L(x,y,K(z,u)) * (a(z,y,u) * a(w,v5,K(a(z,y,u) * x,v6))) = L(L(x,y,K(z,u)) * a(z,y,u),v5,K(v6,w)). [para(14744(a,1),14801(a,1,2,2,3,1))]. 14807 K(x,y) * ((y * x) / z) = (x * y) / z. [para(11081(a,1),14726(a,1,2)),flip(a)]. 14808 (x * y) / (z \ (y * x)) = K(y,x) \ z. [hyper(72,a,62,a(flip),b,14807,a),flip(a)]. 14809 K(x * y,R(z,x,y)) * (((z * x) * y) / u) = ((x * y) * R(z,x,y)) / u. [para(113(a,1),14807(a,1,2,1))]. 14810 K((x * y) \ x,x * y) * (((x * y) * ((x * y) \ x)) / z) = (x * K(y \ 1,x * y)) / z. [para(5160(a,1),14807(a,2,1))]. 14811 (K(x,y) \ z) \ (y * x) = z \ (x * y). [para(14808(a,1),65(a,1,1))]. 14812 (K(x,y) * z) \ (x * y) = z \ (y * x). [para(13(a,1),14811(a,1,1)),flip(a)]. 14813 x \ L(y,z,K(u,x)) != w | L(x \ y,z,K(u,x)) = w. [para(14687(a,1),14754(a,1))]. 14814 (x * ((x \ y) * z)) * K(z,y) = L(z,x \ y,x) * y. [para(104(a,1),14057(a,1,1)),flip(a)]. 14816 L(x,y \ (y * z),y) * (y * z) = (y * (z * x)) * K(x,y * z). [para(13(a,1),14814(a,1,1,2,1)),flip(a)]. 14817 (((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(11390(a,2),14113(a,1,2,1))]. 14818 (K(x / y,y) / (y \ 1)) \ x = x / (1 / (y \ 1)). [para(5233(a,1),14141(a,1,1,1))]. 14819 (K(x \ y,x) / (x \ 1)) \ y = y / (1 / (x \ 1)). [para(4997(a,1),14818(a,1,1,1))]. 14820 L((x \ y) \ y,z,u) / (1 / (x \ 1)) = (1 / (x \ 1)) \ L((x \ y) \ y,z,u). [para(5318(a,1),14819(a,1,1,1)),flip(a)]. 14821 T(x,R(K(y,y \ 1) / z,u,w)) = T(x,R(z \ K(y,y \ 1),u,w)). [para(3638(a,1),14191(a,1,2,1)),flip(a)]. 14822 T(x,y \ (a(z,u,z) * w)) = T(x,(a(z,u,z) / y) * w). [para(12839(a,1),14243(a,1,2,1)),flip(a)]. 14823 T(x,(a(y,z,y) / u) * w) = T(x,a(y,z,y) * (u \ w)). [para(12940(a,1),14822(a,1,2)),flip(a)]. 14824 T(x,(a(y,z,y) / u) * w) != v5 | T(x,u \ w) = v5. [para(14823(a,2),13058(a,1))]. 14826 T(x,T(y * (z \ 1),u)) = T(x,T(y / z,u)). [hyper(8641,a,14255,a),flip(a)]. 14828 a(a(x,y,z) \ u,y,K(z,x)) = a(u,y,K(z,x)). [hyper(14294,a,14798,a)]. 14829 a(x,y,K(z,u)) != w | a(a(u,y,z) \ x,y,K(z,u)) = w. [para(14798(a,1),14294(a,1))]. 14830 a(a(x,y,z) \ u,y,K(z,x)) = a(x,y,K(z,u \ 1)). [hyper(236,a,14001,a,b,14828,a)]. 14831 K(x,L(y,z,(u \ w) / w)) != v5 | K(x,L(y,z,u \ 1)) = v5. [para(14332(a,2),14022(a,1))]. 14832 K(x,L(y,z,u / (w * u))) != v5 | K(x,L(y,z,w \ 1)) = v5. [para(13(a,1),14831(a,1,2,3,1))]. 14833 K(x,L(y,z,(u * w) \ u)) != v5 | K(x,L(y,z,w \ 1)) = v5. [para(13558(a,1),14832(a,1,2))]. 14834 K(x,L(y,z,(u * w) \ u)) = K(x,L(y,z,w \ 1)). [hyper(14833,a,xx),flip(a)]. 14835 K(x,L(y,z * u,(z * u) \ z)) != w | K(x,L(y,z,u \ 1)) = w. [para(14572(a,1),14833(a,1))]. 14836 K(x,L(y,z,(u \ w) \ 1)) = K(x,L(y,z,w \ u)). [para(14(a,1),14834(a,1,2,3,1)),flip(a)]. 14837 K(x,L(y,z \ u,u \ z)) = K(x,y). [hyper(14276,a,14836,a),flip(a)]. 14838 K(x,((y \ z) * (z \ y)) \ u) = K(x,(z \ y) \ ((y \ z) \ u)). [para(227(a,1),14837(a,1,2))]. 14839 K(x,L(y,z,u / (w \ 1))) != v5 | K(x,L(y,z,u * w)) = v5. [para(14346(a,1),14025(a,1))]. 14840 K(x,L(y,z,u)) * (T(x,y) \ w) = L(x,z,K(y,u)) \ w. [hyper(236,a,14770,a(flip),b,14349,a)]. 14841 K(L(x,y,K(z,u)),w) \ (K(x,L(z,y,u)) * (T(x,z) \ K(L(x,y,K(z,u)),w))) = L(x,y,K(z,u)) \ 1. [hyper(72,a,14840,a,b,4034,a)]. 14843 K(K(x,y) * K(x,z),K(z,x) * K(y,x)) = 1. [hyper(36,a,14357,a)]. 14844 K(K(x,y) * K(x,z),(K(x,y) * K(x,z)) \ 1) = 1. [para(14148(a,2),14843(a,1,2))]. 14846 x * K(K(y,z) * K(y,u),(K(y,z) * K(y,u)) \ 1) != w | w = x. [para(14844(a,2),83(a,1,2))]. 14848 L((x \ y) \ 1,x \ y,x) \ (1 / (x \ y)) = ((y \ x) \ 1) * ((x \ y) \ 1). [para(347(a,1),14365(a,1,1,1)),flip(a)]. 14849 K(x,K(y,L(z,u,w))) * K(x,K(y,z)) = a(z,u,K(x,K(w,y))). [para(7937(a,1),14371(a,1,2))]. 14850 K(x,K(y,z \ (u * ((u \ z) * w)))) = a(w,u \ z,K(u,K(x,y))) * K(w,K(x,y)). [para(104(a,2),14372(a,2,2,2)),flip(a)]. 14851 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = K(z,K(w,L(x,y,u \ 1))). [para(9246(a,1),14372(a,1,1,3))]. 14852 K(x,T(((y \ z) \ 1) \ x,y)) = K(x,T((y \ z) * x,z)). [hyper(236,a,9792,a(flip),b,14375,a),flip(a)]. 14853 K(x,T((y \ z) * x,z)) = K(x,T((y \ z) * x,y)). [hyper(236,a,14052,a(flip),b,14852,a(flip))]. 14854 K(x \ ((y \ 1) * z),y) = K(x \ (z * (y \ 1)),y). [para(14398(a,1),9653(a,1,1)),flip(a)]. 14855 (x \ (y * z)) * K(y \ (y * z),y) = x \ (z * y). [para(10748(a,1),14398(a,1,2))]. 14856 K(((x \ 1) \ y) \ z,L(x,y,x \ 1)) = K(y \ (z * (x \ 1)),x). [hyper(236,a,14569,a,b,14854,a(flip)),flip(a)]. 14857 (x \ (y * z)) * K(z,y) = x \ (z * y). [para(13(a,1),14855(a,1,2,1))]. 14859 R(x,y,z) \ (z * (x * y)) = (y * z) * K(z,x * y). [para(143(a,1),14857(a,1,1)),flip(a)]. 14861 (x \ (((y * z) / y) * y)) * K(y,(y * z) / y) = x \ (T(y,z) * z). [para(3875(a,2),14857(a,2,2))]. 14863 T(x \ (y * z),K(y,z)) = K(y,z) * (x \ (z * y)). [para(14857(a,1),7984(a,1,2)),flip(a)]. 14865 K(L(x,y,z),x \ u) * ((u / x) \ ((x \ u) * L(x,y,z))) = T(T(L(x,y,z) * K(u,x),u),K(L(x,y,z),x \ u)). [para(11697(a,1),14863(a,1,1)),flip(a)]. 14866 R(x,y,z) \ (z * (x * y)) = y * T(z,x * y). [hyper(236,a,6201,a(flip),b,14859,a)]. 14867 R(x,y,z) = (z * (x * y)) / (y * T(z,x * y)). [para(14866(a,1),62(a,1,2)),flip(a)]. 14868 K(x \ K(y,z),x) * K(z,y) = 1 / (x * (K(y,z) / x)). [para(5102(a,1),14590(a,1,1))]. 14870 ((x * ((K(y,x / y) / (x \ y)) \ 1)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(10101(a,2),14643(a,2,1,1,2,1)),flip(a)]. 14871 T(x * (x \ y),(x \ y) \ z) = T(y,y \ (x * z)). [para(14(a,1),14661(a,2,1))]. 14872 T(x,(y \ x) \ z) = T(x,x \ (y * z)). [para(14(a,1),14871(a,1,1))]. 14873 T(x,(x / y) \ z) = T(x,x \ (y * z)). [hyper(236,a,10148,a,b,14872,a(flip)),flip(a)]. 14874 T(x,x \ ((y \ x) * z)) = T(x,y \ z). [para(62(a,1),14873(a,1,2,1)),flip(a)]. 14875 L(x,y,T(z,(u \ z) * w)) = L(x,y,T(z,u \ w)). [para(14874(a,1),13498(a,1,3)),flip(a)]. 14876 L(x,y,K(z \ (u * (w \ 1)),w)) = L(x,y,K(z \ u,w)). [hyper(236,a,14714,a(flip),b,14716,a)]. 14877 L(x,y,T(z,u * L(x,y,z))) = L(x,y,T(z,u)). [hyper(6750,a,14729,a),flip(a)]. 14878 L(x,y,T(z,((u \ w) \ 1) * L(x,y,z))) = L(x,y,T(z,w \ u)). [para(6361(a,1),14877(a,2,3))]. 14879 (x / y) \ (x / L(T(y,z),u,K(z,w))) = K(z,L(y,u,w \ 1)). [hyper(236,a,11533,a(flip),b,14737,a)]. 14880 (x \ y) \ (x \ L(T(y,((z \ 1) \ u) \ w),w,K(((z \ 1) \ u) \ w,z))) = K(y,u \ ((z \ 1) * w)). [hyper(236,a,11485,a(flip),b,14739,a)]. 14881 (x \ y) \ (x \ L(T(y,(z * u) / w),v5,K((w / z) \ u,u))) = K(y,L((z * u) / w,v5,u \ 1)). [para(10933(a,1),14739(a,1,2,2,3))]. 14882 L(x,y,T(z,u \ L(x,y,z))) = L(x,y,z * K(u,z)). [hyper(236,a,6929,a(flip),b,14743,a(flip))]. 14883 K(x / y,x) * (((x / y) \ x) / z) = (y * K(y \ x,x)) / z. [para(7336(a,1),14793(a,2,1))]. 14884 x * (y * a(z,u,K(y * x,w))) = L(x * y,u,K(w,T(z,y))). [para(7260(a,1),14803(a,2,3))]. 14885 K(x,((y * z) \ y) \ ((y \ (y * z)) \ u)) = K(x,(z * ((y * z) \ y)) \ u). [para(13(a,1),14838(a,1,2,1,1)),flip(a)]. 14886 K(x,(y \ (y * z)) \ (((y * z) \ y) \ u)) = K(x,(((y * z) \ y) * z) \ u). [para(13(a,1),14838(a,1,2,1,2)),flip(a)]. 14887 K(x,(y \ (y / z)) \ (((y / z) \ y) \ u)) = K(x,(z * (y \ (y / z))) \ u). [para(65(a,1),14838(a,1,2,1,1)),flip(a)]. 14888 K(x,((y / z) \ y) \ ((y \ (y / z)) \ u)) = K(x,((y \ (y / z)) * z) \ u). [para(65(a,1),14838(a,1,2,1,2)),flip(a)]. 14889 K(K(x,L(y,z,u)) * K(y,x),w) = a(y,z,K(w,K(u,x))). [hyper(236,a,12459,a(flip),b,14849,a(flip)),flip(a)]. 14890 K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(x,u))). [para(10201(a,1),14889(a,1,1))]. 14891 K(a(x,y * z,K(z,u)),w) = a(z,y,K(w,K(u,x))). [para(7937(a,1),14890(a,2,3))]. 14892 K(x \ y,y) * (((y / x) \ y) / z) = (x * K(x \ y,y)) / z. [para(6289(a,1),14883(a,1,1))]. 14893 (x * K(x \ y,y)) / z = K(x \ y,y) * (x / z). [para(65(a,1),14892(a,1,2,1)),flip(a)]. 14894 L(x,y,z) * a(x,u,K(w,L(v5,y,z))) = L(T(x,a(v5,u,w)),y,z). [para(14392(a,1),14219(a,1,2))]. 14895 K(x,((y * z) \ u) \ (z \ (y \ u))) = a(y,z,K(x,z \ u)). [hyper(236,a,14012,a(flip),b,14230,a)]. 14896 K(x,((y * ((y * z) / y)) \ u) \ (z \ (T(y,z) \ u))) = a(T(y,z),z,K(x,z \ u)). [para(3875(a,1),14895(a,1,2,1,1))]. 14897 L(T(x,y),x \ 1,z) * (K(y,x) / u) = L(x,x \ 1,z) * (1 / u). [para(8977(a,1),14542(a,1,2,1))]. 14898 K(x * ((y \ 1) \ K(z,u)),w) = K(x * (y * K(z,u)),w). [hyper(14616,a,14521,a),flip(a)]. 14899 K(x * ((y \ 1) \ K(z,u)),w) != v5 | K(x * (y * K(z,u)),w) = v5. [para(14521(a,1),14616(a,1))]. 14900 K(x * (((y / z) \ 1) \ K(u,u \ z)),w) = K(x * (y / ((u \ z) * u)),w). [para(10451(a,1),14898(a,2,1,2))]. 14901 T(x,y \ (((z * y) \ z) \ 1)) = T(x,a(z * y,z,y)). [hyper(236,a,14734,a(flip),b,14633,a(flip))]. 14902 T(x,x \ (((y * x) \ y) \ 1)) = x. [hyper(236,a,13881,a(flip),b,14633,a(flip))]. 14903 (1 / ((x * y) \ x)) / y = y \ (1 / ((x * y) \ x)). [para(14902(a,1),4599(a,1,2))]. 14904 T((1 / ((x * y) \ x)) * K(y,z),y) = (y \ (1 / ((x * y) \ x))) * T(y,z). [para(14903(a,1),7188(a,2,1))]. 14905 T(x,y \ (((z * y) \ z) \ 1)) = x. [hyper(236,a,14702,a(flip),b,14901,a)]. 14906 (x \ (((y * x) \ y) \ 1)) * z = z * (x \ (((y * x) \ y) \ 1)). [hyper(2261,a,14905,a),flip(a)]. 14908 T(x,(y \ z) \ ((z \ y) \ 1)) = x. [para(14(a,1),14905(a,1,2,2,1,1))]. 14909 (x \ (1 / ((y * x) \ y))) * z = z * (x \ (1 / ((y * x) \ y))). [para(14905(a,1),4598(a,1,2))]. 14910 (x \ (((y \ z) * (z \ y)) \ x)) * x = ((y \ z) * (z \ y)) \ x. [para(14908(a,1),14634(a,1,2))]. 14911 x / (y \ (1 / ((z * y) \ z))) = (y \ (1 / ((z * y) \ z))) \ x. [hyper(529,a,14909,a)]. 14913 (x * (y * z)) * K(z,x * y) = L(z,y,x) * (x * y). [para(13(a,1),14816(a,1,1,2)),flip(a)]. 14914 L(x,y,z) = (z * (y * x)) / T(z * y,x). [hyper(7652,a,14913,a),flip(a)]. 14915 (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) = L(y,K(z,T(u,y)),x). [para(8047(a,1),14914(a,2,1,2)),flip(a)]. 14916 K(x,L(y,z * u,u \ 1)) != w | K(x,L(y,z,u \ 1)) = w. [para(14834(a,1),14835(a,1))]. 14917 K(x,L((y * z) / u,u,z \ 1)) = K(x,L((y * z) / u,y,z \ 1)). [hyper(14916,a,11473,a(flip)),flip(a)]. 14919 ((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). [hyper(14846,a,2849,a),flip(a)]. 14920 K(((x \ 1) \ y) \ z,x) = K(y \ (z * (x \ 1)),x). [hyper(236,a,9625,a(flip),b,14856,a(flip)),flip(a)]. 14922 L(x,y,T(z,(u \ w) \ L(x,y,z))) = L(x,y,T(z,w \ u)). [para(14238(a,1),14878(a,1,3))]. 14923 L(x,y,z * K(u \ w,z)) = L(x,y,T(z,w \ u)). [hyper(236,a,14882,a(flip),b,14922,a(flip)),flip(a)]. 14924 L(x,y,T(z,u \ z)) = L(x,y,z * K(u,z)). [hyper(236,a,13525,a(flip),b,14923,a(flip))]. 14925 L(x,y,z) * a(x,u,K(w,L(v5,y,z))) = L(L(x,u,K(w,v5)),y,z). [para(14670(a,2),14894(a,2,1))]. 14926 (a(x,y,z) \ u) * a(x,y,z) = u * a(x,y,K(z,u \ 1)). [para(14830(a,1),14076(a,1,2)),flip(a)]. 14927 T(x,a(y,z,u) \ x) = (a(u,z,y) \ x) * a(u,z,y). [hyper(236,a,14352,a(flip),b,14926,a),flip(a)]. 14928 (a(x,y,z) \ u) * a(x,y,z) = L(u,y,K(z,x)). [hyper(14750,a,14927,a),flip(a)]. 14929 x / a(y,z,R(x,u,w)) = a(y,z,R(x,u,w)) \ x. [hyper(74,a,7218,a(flip),b,14928,a)]. 14930 T(x * K(y,z),x \ 1) = T((x \ 1) \ 1,K(y,z)) * K(y,z). [para(14530(a,1),14091(a,2,1))]. 14931 T(x * K(y,z),x \ 1) = K(y,z) * ((x \ 1) \ 1). [hyper(236,a,7994,a(flip),b,14930,a)]. 14932 T(x * K(y,z),x \ 1) = (x \ K(z,y)) \ 1. [hyper(236,a,14615,a(flip),b,14931,a)]. 14933 ((x \ 1) \ K(y,z)) * (x \ 1) = x \ ((x \ K(z,y)) \ 1). [hyper(72,a,14932,a(flip),b,876,a),flip(a)]. 14934 x \ ((x \ K(y,z)) \ 1) = (x * K(z,y)) * (1 / x). [hyper(236,a,14159,a(flip),b,14933,a(flip))]. 14935 K(x,x \ K(y,z)) * K(z,y) = (x * K(z,y)) * (1 / x). [hyper(236,a,14146,a,b,14934,a(flip)),flip(a)]. 14936 K((x \ y) \ ((z / (z / x)) \ 1),u) != w | K(y \ K(x,x \ z),u) = w. [para(14224(a,2),6499(a,1))]. 14937 K((a(x,y,y \ 1) * (z \ 1)) \ K(u \ 1,u),w) = K(a(x,y,y \ 1) \ z,w). [hyper(6536,a,14263,a)]. 14938 K(x,L(y,z,(u * x) \ w)) = K(x,L(y,z,x \ (u \ w))). [hyper(14023,a,14336,a),flip(a)]. 14939 K(x,L(y,z,(u * x) \ w)) != v5 | K(x,L(y,z,x \ (u \ w))) = v5. [para(14336(a,1),14023(a,1))]. 14940 x * K(y,L(z,u,y \ (u \ x))) = (x / (u * y)) * (u * T(y,z)). [para(14938(a,1),11704(a,1,2))]. 14941 (x / (y * z)) * (y * T(z,u)) = x * K(z,L(u,y,y \ x)). [para(14586(a,1),14940(a,1,2)),flip(a)]. 14942 (x / (y * z)) * (y * T(z,u)) = (x / y) * (y * K(z,u)). [hyper(236,a,11505,a(flip),b,14941,a)]. 14943 ((x / (y * z)) * (y * T(z,u))) * ((y * K(z,u)) \ y) = y * R(y \ x,y * K(z,u),(y * K(z,u)) \ y). [para(14942(a,2),808(a,2,1)),flip(a)]. 14944 K(x,L(y,z,(u * w) \ 1)) != v5 | K(x,L(y,z,w \ (u \ 1))) = v5. [para(14347(a,1),14025(a,1))]. 14945 (x * L(x \ 1,y,z)) \ T(x,u) = L(1 / x,y,z) \ K(x,u). [hyper(236,a,14046,a(flip),b,14448,a)]. 14946 (L(1 / x,y,z) \ K(x,u)) \ T(L(1 / x,y,z) \ 1,u) = K(u,T(x * L(x \ 1,y,z),T(x,u))). [para(14945(a,1),11786(a,1,1))]. 14947 L(x,y,T(z * K(u,w),z / u)) = L(x,y,T(u,w) / (u / z)). [para(4187(a,1),14459(a,1,3))]. 14948 ((x / y) * z) \ (x / y) = ((y \ x) * z) \ (y \ x). [para(4903(a,1),14490(a,1,2))]. 14949 K(x,L(y,z,1 / a(u,w,v5))) = K(x,L(y,z,a(v5,w,u))). [hyper(236,a,14345,a(flip),b,14559,a(flip))]. 14950 K(x,L(y,z,a(u,w,v5) \ 1)) = K(x,L(y,z,a(v5,w,u))). [para(3601(a,1),14949(a,1,2))]. 14951 K(T(x,y) * z,y) * (((y * x) * z) / y) = y \ ((y * x) * z). [para(32(a,2),14629(a,1,1,1,1))]. 14952 K(x * y,z) * (((z * x) * y) / z) = z \ ((z * x) * y). [para(7477(a,1),14951(a,1,1))]. 14953 T(x,R(y \ K(z,z \ 1),u,w)) = T(x,R(y \ 1,u,w)). [hyper(236,a,4721,a(flip),b,14821,a(flip))]. 14955 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(236,a,9587,a(flip),b,14953,a(flip)),flip(a)]. 14956 (x \ (y * z)) * K(y,(y * z) / y) = x \ (T(y,z) * z). [para(16(a,1),14861(a,1,1,2))]. 14958 (x \ (y * z)) * K(y,z) = x \ (T(y,z) * z). [para(4995(a,1),14956(a,1,2))]. 14959 (((x * (K(y,z) / z)) \ x) * (x \ (x * (K(y,z) / z)))) \ u = u / (L(z,z \ 1,x) * (1 / z)). [para(14897(a,1),12118(a,2,2))]. 14960 a(x,y,K(z,u)) * K(a(u,y,z),L(x,w,v5)) = a(a(u,y,z),K(v5,x),w). [para(14004(a,2),14325(a,1,1))]. 14961 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) != v5 | K(z,K(w,L(x,y,u))) = v5. [para(7919(a,1),14374(a,1,1,3))]. 14962 R(K(x,y) * (T(y,x) / z),K(y,x),z) / K(y,x) = y / (K(y,x) * z). [para(5260(a,1),14496(a,1,1,1))]. 14963 a(x,y,K(z,u)) * a(u,y,K(z,L(x,w,v5))) = a(a(u,y,z),K(v5,x),w). [para(13871(a,2),14960(a,1,2))]. 14964 K(x,K(y,L(z,u,w \ 1))) = K(x,K(y,L(z,u,w))). [hyper(14961,a,14851,a),flip(a)]. 14965 K(x,K(y,L(z,u,1 / w))) = K(x,K(y,L(z,u,w))). [para(65(a,1),14964(a,1,2,2,3)),flip(a)]. 14966 R(x / y,K(x,z),y) / K(x,z) = x / (K(x,z) * y). [para(14474(a,1),14962(a,1,1,1))]. 14968 a(x,y,K(z,u)) * a(u,y,K(z,L(x,w,v5))) = a(u,w,a(v5,y,K(z,x))). [hyper(236,a,14425,a(flip),b,14963,a)]. 14969 a(x,y,K(z,u)) * a(x,w,a(v5,y,K(z,u))) = a(x,y,K(z,L(u,w,v5))). [hyper(14030,a,14968,a)]. 14970 a(x,y,K(z,u)) * a(z,y,K(L(x,w,v5),u)) = a(u,w,a(v5,y,K(z,x))). [hyper(236,a,14009,a,b,14968,a(flip)),flip(a)]. 14972 a(x,y,K(z,u)) * a(z,y,K(x,L(u,w,v5))) = a(u,w,a(v5,y,K(z,x))). [para(11533(a,1),14970(a,1,2,3))]. 14973 a(x,y,K(z,u)) \ a(u,w,a(v5,y,K(z,x))) = a(z,y,K(x,L(u,v5,w))). [hyper(72,a,14587,a,b,14972,a)]. 14974 a(x,y,z) * a(z,y,K(x,y * z)) = ((x * y) * z) / (x * (y * z)). [para(13998(a,1),14080(a,1,2))]. 14975 ((x * y) * z) / (x * (y * z)) = a(x,y,z) * 1. [para(14013(a,1),14974(a,1,2)),flip(a)]. 14976 a(x,y,z) = ((x * y) * z) / (x * (y * z)). [hyper(236,a,12,a(flip),b,14975,a),flip(a)]. 14978 a(x,y,z) = R(R(x,y,z) / x,x,y * z). [hyper(236,a,491,a,b,14976,a)]. 14980 a(x,y,z) * (x * (y * z)) = (x * y) * z. [para(14976(a,2),16(a,1,1))]. 14981 a(x / (y * z),y,z) * x = ((x / (y * z)) * y) * z. [para(14976(a,2),233(a,1,1))]. 14983 R(R(x,y,z) / x,x,T(y,z) * z) = a(x,T(y,z),z). [para(10690(a,1),14978(a,2,1,1)),flip(a)]. 14984 a(a(x,y,z),u,w) * (a(x,y,z) * (w * u)) = (a(x,y,z) * w) * u. [para(47(a,1),14980(a,1,1))]. 14985 a(x,y,T(z,y)) * (x * (z * y)) = (x * y) * T(z,y). [para(119(a,1),14980(a,1,2,2))]. 14987 a(a(x,y,z),u,w) * (a(x,y,z) * (w * u)) != v5 * v6 | v5 \ ((a(x,y,z) * w) * u) = v6. [para(14984(a,2),545(a,1))]. 14988 a(x * K(y \ 1,y * z),u,w) = a(x * K(z,z * y),u,w). [para(15(a,1),14142(a,1,1,2,1)),flip(a)]. 14989 K(x,T((y \ 1) * z,u)) = K(x,T(y \ z,u)). [hyper(9125,a,14177,a),flip(a)]. 14990 K(x,T((1 / y) \ z,u)) = K(x,T(y * z,u)). [para(65(a,1),14989(a,1,2,1,1)),flip(a)]. 14991 K(x,L(y,z,L(u \ 1,w,v5))) = K(x,L(y,z,L(u,w,v5) \ 1)). [hyper(14596,a,14343,a)]. 14992 K(x,L(y,z,L(u,w,v5) \ 1)) != v6 | K(x,L(y,z,L(u \ 1,w,v5))) = v6. [para(14343(a,1),14596(a,1))]. 14993 K(x,L(y,z,L(z \ 1,u,w))) = K(x,y). [hyper(70,a,14405,a(flip),b,14991,a)]. 14994 K(x,L(y,z \ 1,L(z,u,w))) = K(x,y). [para(3621(a,1),14993(a,1,2))]. 14995 L(x,y * (K(z,u) / T(u,w)),v5) = L(x,y * (T(u,z) \ K(w,u)),v5). [para(6870(a,1),14360(a,1,2,2)),flip(a)]. 14996 a(x,T(T((y * z) / y,y \ z),y),u) = a(x,T(y,z) * (y \ z),u). [hyper(236,a,13651,a(flip),b,14370,a(flip)),flip(a)]. 14997 a(x,T(y,z) * (y \ z),u) = a(x,T(z,y \ z),u). [para(201(a,1),14996(a,1,2)),flip(a)]. 14999 a(x,T(y,z \ y),u) = a(x,K(z,y) * y,u). [para(4857(a,1),14997(a,1,2)),flip(a)]. 15000 a(x,T(y,z \ y),u) = a(x,y * K(z,y),u). [para(4861(a,1),14997(a,1,2)),flip(a)]. 15001 (T(T(x,y),x \ z) * u) \ T((x \ z) \ z,y) != w | (x * u) \ x = w. [para(14488(a,2),14493(a,1))]. 15002 K(K(x,y) * z,(K(x,y) * z) \ 1) = (z \ K(y,x)) \ ((1 / z) * K(y,x)). [para(14589(a,1),14536(a,2,2))]. 15003 K(x,y / (z / (K(u \ 1,w) * (u \ 1)))) = K(x,y / (z / T(1 / u,w))). [para(7518(a,1),14612(a,1,2,2,2)),flip(a)]. 15004 K(x,(y * ((z * y) \ z)) \ u) = K(x,((z * y) \ z) \ (y \ u)). [para(13(a,1),14885(a,1,2,2,1)),flip(a)]. 15005 K(x,((y * ((z \ 1) \ 1)) \ y) \ ((y \ (y * ((z \ 1) \ 1))) \ u)) = K(x,(((z \ 1) \ 1) * ((((y * z) \ y) \ 1) \ 1)) \ u). [para(2817(a,2),14885(a,2,2,1,2))]. 15006 K(x,(((y * z) \ y) * z) \ u) = K(x,z \ (((y * z) \ y) \ u)). [para(13(a,1),14886(a,1,2,1)),flip(a)]. 15007 K(x,(y * (z \ (z / y))) \ u) = K(x,(z \ (z / y)) \ (y \ u)). [para(65(a,1),14887(a,1,2,2,1)),flip(a)]. 15008 K(x,((y \ (y / z)) * z) \ u) = K(x,z \ ((y \ (y / z)) \ u)). [para(65(a,1),14888(a,1,2,1)),flip(a)]. 15009 K(K(x,y) * z,(K(x,y) * z) \ 1) = K(z,z \ 1). [hyper(236,a,14153,a(flip),b,15002,a)]. 15010 K(K(x,y) * z,z \ K(y,x)) = K(z,z \ 1). [hyper(6479,a,15009,a)]. 15012 K(x,y / (z / T(1 / u,w))) = K(x,y / (z / T(u \ 1,w))). [para(4897(a,2),15003(a,1,2,2,2)),flip(a)]. 15013 R(x,y,y \ 1) * (z / R(x,y,y \ 1)) = z * K(x,x \ z). [para(12843(a,1),14069(a,2,2))]. 15014 R(x,y,y \ 1) * (z / R(x,y,y \ 1)) = x * (z / x). [hyper(236,a,5079,a(flip),b,15013,a)]. 15017 (x * (y \ 1)) * (z / R(x / y,y,y \ 1)) = (x / y) * (z / (x / y)). [para(482(a,1),15014(a,1,1))]. 15018 (x * (y \ 1)) * (z / (x * (y \ 1))) = (x / y) * (z / (x / y)). [para(482(a,1),15017(a,1,2,2))]. 15019 ((x / T(y,z)) \ 1) * (u / (K(y,z) * ((x / y) \ 1))) = (K(y,z) / (x / y)) * (u / (K(y,z) / (x / y))). [para(14614(a,1),15018(a,1,1))]. 15020 K(x,L(T((1 / y) \ z,u / y),y \ 1,u)) = K(x,(u * z) / (u * (1 / y))). [para(7000(a,1),14251(a,1,2))]. 15021 R(x,y,z) \ ((R(x,y,z) * (x \ u)) * x) = u * K((x \ u) * R(x,y,z),x). [para(1491(a,1),14426(a,1,2,1))]. 15022 (x * (K(y,z) * u)) * (u \ K(z,y)) = R(x,K(y,z) * u,u \ K(z,y)). [para(14518(a,1),14534(a,1,2))]. 15023 ((x * (K(y,z) * z)) * K(z,y)) * (z \ 1) = R(x,K(y,z) * z,z \ K(z,y)). [hyper(236,a,9490,a,b,15022,a(flip)),flip(a)]. 15024 K((x / y) \ (z \ x),(x / y) * z) = K(z \ y,(x / y) * z). [hyper(236,a,14202,a(flip),b,14562,a(flip))]. 15025 (((x / y) * z) \ x) * ((x / y) * z) = x * K(z \ y,(x / y) * z). [para(15024(a,1),14561(a,1,2)),flip(a)]. 15026 L(x \ y,x,z / y) * ((z / y) * x) = z * K(x \ y,(z / y) * x). [para(454(a,2),15025(a,1,1))]. 15027 ((x \ y) \ 1) * ((y \ x) \ 1) = (x \ y) \ (1 / (y \ x)). [para(347(a,1),14848(a,1,1)),flip(a)]. 15028 ((x \ R(x,y,y \ 1)) \ 1) \ ((1 / (x \ R(x,y,y \ 1))) / (R(x,y,y \ 1) \ x)) = T((R(x,y,y \ 1) \ x) \ 1,(x \ R(x,y,y \ 1)) \ 1). [hyper(394,a,10426,a,b,15027,a),flip(a)]. 15029 R(x,y,z) \ ((R(x,y,z) * (x \ u)) * x) = u * K(u * (x \ R(x,y,z)),x). [para(14626(a,1),15021(a,2,2))]. 15030 ((x * (y * K(z,y))) * K(y,z)) * (y \ 1) = R(x,K(z,y) * y,y \ K(y,z)). [para(3138(a,1),15023(a,1,1,1,2))]. 15031 R(x,K(y,z) * z,z \ K(z,y)) = (x * (T(z,y) * K(y,z))) * (z \ 1). [para(9893(a,1),15030(a,1,1)),flip(a)]. 15032 R(x,K(y,z) * z,z \ K(z,y)) = (x * z) * (z \ 1). [para(4836(a,1),15031(a,2,1,2))]. 15033 R(x,K(y,z) * z,z \ K(z,y)) = R(x,z,z \ 1). [hyper(236,a,189,a(flip),b,15032,a)]. 15034 R(x,y * K(z,y),y \ K(y,z)) = R(x,y,y \ 1). [para(3138(a,1),15033(a,1,2))]. 15035 a(x,y * K(z,y),(y * K(z,y)) \ 1) = x \ R(x,y,y \ 1). [para(15034(a,1),5337(a,2,2))]. 15036 a(x,y * K(z,y),(y * K(z,y)) \ 1) = a(x,y,y \ 1). [hyper(236,a,688,a(flip),b,15035,a)]. 15038 a(x,y * K(z,y),y \ K(y,z)) = a(x,y,y \ 1). [para(5113(a,1),15036(a,1,3))]. 15039 a(x,T(y,z \ y),y \ K(y,z)) = a(x,y,y \ 1). [hyper(236,a,15000,a,b,15038,a(flip)),flip(a)]. 15040 (x \ L(x,y,z)) * K(u,w) = L(x,y,z) * (x \ K(u,w)). [para(14994(a,1),14105(a,1,2))]. 15041 L((x \ y) \ y,z,u) * (((x \ y) \ y) \ K(x,x \ y)) = L((x \ y) \ y,z,u) / x. [hyper(236,a,6464,a(flip),b,15040,a(flip))]. 15043 K(T((x \ y) \ 1,z) \ u,T(y \ x,w)) = K((x \ y) * u,T(y \ x,w)). [hyper(9465,a,14108,a)]. 15044 L((x \ y) \ y,z,u) / (1 / (x \ 1)) = x \ L((x \ y) \ y,z,u). [hyper(236,a,291,a(flip),b,14820,a)]. 15046 L((x \ y) \ y,z,u) / x = x \ L((x \ y) \ y,z,u). [para(62(a,1),15044(a,1,2))]. 15047 K((K(x,T(y,z)) * u) \ (z * y),L(w,u,K(y,T(x,z)))) = K(u \ (z * T(y,x)),w). [para(7323(a,1),14579(a,1,1,1))]. 15048 (K(x,y) * z) / ((x * T(y,L(x,u,w))) \ z) = x * L(y,u,K(w,x)). [para(7420(a,1),14736(a,1,1,1))]. 15050 (K(x,y) * z) / (L(y * x,u,K(w,x)) \ z) = x * L(y,u,K(w,x)). [para(14790(a,2),15048(a,1,2,1))]. 15051 K(x,K(y,z \ (u * ((u \ z) * w)))) = a(w,z,K(u,K(x,y))) * K(w,K(x,y)). [para(14415(a,1),14850(a,2,1))]. 15052 K(x,K(y,z \ (u * ((u \ z) * w)))) = K(x,K(y,L(w,z,u))). [hyper(236,a,14372,a(flip),b,15051,a)]. 15053 K(x,K(y,L(z,u \ w,u))) = K(x,K(y,L(z,w,u))). [para(104(a,1),15052(a,1,2,2))]. 15054 K(x,K(y,L(z,u / w,w))) = K(x,K(y,L(z,u,w))). [para(11122(a,2),15053(a,1,2,2))]. 15055 (((x \ y) \ y) * z) \ ((x \ y) \ y) = (x * z) \ x. [hyper(15001,a,14489,a),flip(a)]. 15056 (K(x,y) * z) * (K(x,y) * ((1 / z) * K(y,x))) = K(x,y) * K(K(x,y) * z,z \ 1). [para(14589(a,1),14506(a,1,2,2))]. 15057 K(x \ (L(x,y,y \ 1) * z),u) = K(a(y \ 1,y,x) \ z,u). [hyper(14339,a,14578,a),flip(a)]. 15059 K(L(x,y,y \ 1) * (x \ z),u) = K(a(y \ 1,y,x) \ z,u). [para(1205(a,1),15057(a,1,1))]. 15060 K(x,y \ (L(y,z,z \ 1) * u)) = K(x,a(z \ 1,z,y) \ u). [hyper(14339,a,14581,a),flip(a)]. 15061 K(x,L(y,z,z \ 1) * (y \ u)) = K(x,a(z \ 1,z,y) \ u). [para(1205(a,1),15060(a,1,2))]. 15062 L((x \ y) \ y,z,u) * (((y / x) \ y) \ 1) = L((x \ y) \ y,z,u) / x. [para(14529(a,1),15041(a,1,2))]. 15063 L((x \ y) \ y,z,u) * (x \ 1) = L((x \ y) \ y,z,u) / x. [para(65(a,1),15062(a,1,2,1))]. 15064 L((x \ y) \ y,z,u) * (x \ 1) = x \ L((x \ y) \ y,z,u). [hyper(236,a,15046,a(flip),b,15063,a)]. 15065 (K(x,y) * z) * T(1 / z,K(x,y)) = K(x,y) * K(K(x,y) * z,z \ 1). [para(7984(a,1),15056(a,1,2))]. 15066 K(T(x * (y \ 1),z) \ u,x * (y \ 1)) = K(y * (x \ u),x * (y \ 1)). [hyper(236,a,14055,a(flip),b,14658,a)]. 15067 K(T(x * (y \ 1),z) \ u,x * (y \ 1)) = K(y * (x \ u),x / y). [hyper(236,a,14060,a(flip),b,15066,a)]. 15068 K((x * (y \ 1)) \ z,x / y) = K(y * (x \ z),x / y). [hyper(14306,a,15067,a)]. 15069 K(x / (y * (z \ 1)),y / z) = K(z * (y \ x),y / z). [hyper(8405,a,15068,a)]. 15070 (((x * y) \ x) \ 1) / ((1 / (y * L(y \ 1,y,z))) \ (L(y \ 1,y,x) \ 1)) = 1 / (y * ((z * y) \ z)). [para(6537(a,1),14486(a,1,1))]. 15071 K(x \ 1,y * x) * (((y * x) * ((y * x) \ y)) / z) = (y * K(x \ 1,y * x)) / z. [para(6294(a,1),14810(a,1,1))]. 15072 (x * K(y \ 1,x * y)) / z = K(y \ 1,x * y) * (x / z). [para(14(a,1),15071(a,1,2,1)),flip(a)]. 15074 K(x,L(T(y,z \ u),u,z)) * K(u,K(x,z * (y \ (z \ u)))) = K(x,u / (z * (y \ (z \ u)))). [para(7919(a,1),14666(a,1,2))]. 15075 (L(T(x,y),x \ 1,z) * (z \ (z * (K(y,x) / x)))) \ u = u / (L(x,x \ 1,z) * (1 / x)). [para(11667(a,1),14959(a,1,1,1))]. 15077 (L(T(x,y),x \ 1,z) * (K(y,x) / x)) \ u = u / (L(x,x \ 1,z) * (1 / x)). [para(13(a,1),15075(a,1,1,2))]. 15079 x / (L(y,y \ 1,z) * (1 / y)) = (L(y,y \ 1,z) * (1 / y)) \ x. [para(14897(a,1),15077(a,1,1)),flip(a)]. 15080 ((L(x,x \ 1,y) * (1 / x)) \ z) * K(L(x,x \ 1,y),1 / x) = z / ((1 / x) * L(x,x \ 1,y)). [para(15079(a,1),10448(a,1,1))]. 15081 (1 / ((x * y) / x)) \ T(1 / y,(x * y) / x) = (1 / y) * (1 / (1 / ((x * y) / x))). [para(3017(a,1),14358(a,1,2))]. 15083 (1 / x) * (1 / (1 / ((y * x) / y))) = (1 / ((y * x) / y)) \ (x \ 1). [para(3189(a,1),15081(a,1,2)),flip(a)]. 15084 (1 / x) * (1 / (1 / ((y * x) / y))) = (T(x,y) \ 1) * x. [hyper(236,a,11325,a(flip),b,15083,a)]. 15086 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(15084(a,1),13927(a,2,2))]. 15087 ((x * ((x \ y) * K(x / y,y))) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(14144(a,1),14870(a,1,1,1,2))]. 15088 ((x * ((y * (x / y)) \ y)) / x) \ 1 = x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)). [para(14264(a,1),15087(a,1,1,1,2))]. 15089 x / (x * ((((x / (1 / (x \ y))) / x) \ 1) \ 1)) = ((x / (x / y)) / x) \ 1. [para(5532(a,1),15088(a,1,1,1)),flip(a)]. 15090 x / (x * ((1 / ((x / ((x \ y) \ 1)) / x)) \ 1)) = ((x / (x / y)) / x) \ 1. [para(2774(a,2),15089(a,1,2,2,1))]. 15091 x / (x * ((x / ((x \ y) \ 1)) / x)) = ((x / (x / y)) / x) \ 1. [para(65(a,1),15090(a,1,2,2))]. 15093 x / (x / ((y / x) \ 1)) = ((x / (x / y)) / x) \ 1. [para(10550(a,1),15091(a,1,2))]. 15094 1 / (x / (x / ((y / x) \ 1))) = (x / (x / y)) / x. [para(15093(a,2),62(a,1,2))]. 15095 (x \ y) \ (x \ L(T(y,(z * u) / w),v5,K(u,w / z))) = K(y,L((z * u) / w,v5,u \ 1)). [para(13517(a,1),14881(a,1,2,2))]. 15097 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(236,a,3515,a(flip),b,14955,a)]. 15098 T(x,R(y / T(1 / z,u),w,v5)) = T(x,R(y / T(z \ 1,u),w,v5)). [para(2498(a,1),15097(a,1,2,1)),flip(a)]. 15103 (x \ y) \ (x \ L(T(y,((z \ 1) \ u) \ w),w,K(u \ (w * (z \ 1)),z))) = K(y,u \ ((z \ 1) * w)). [para(14920(a,1),14880(a,1,2,2,3))]. 15104 K(x,T(y * L(y \ 1,z,u),T(y,x))) = K(x,y) * K(L(1 / y,z,u) \ 1,x). [hyper(236,a,14450,a(flip),b,14946,a(flip))]. 15105 K(x,T(y * L(y \ 1,z,u),T(y,x))) = K(x,y) * K((1 / y) \ 1,L(x,z,u)). [para(11480(a,1),15104(a,2,2))]. 15106 K(x,T(y * L(y \ 1,z,u),T(y,x))) = K(x,y) * K(y,L(x,z,u)). [para(65(a,1),15105(a,2,2,1))]. 15107 K(x,T(y * L(y \ 1,z,u),T(y,x))) = a(y,z,K(u,x)). [hyper(236,a,13999,a(flip),b,15106,a)]. 15109 K(x,T(y * L(y \ 1,z,u),y)) = a(y,z,K(u,x)). [hyper(8027,a,15107,a)]. 15110 K(x,y * L(y \ 1,z,u)) = a(y,z,K(u,x)). [para(1685(a,1),15109(a,1,2))]. 15111 K(x,a(y,z,u \ 1) \ 1) = a(u,z,K(y,x)). [hyper(236,a,14124,a,b,15110,a(flip)),flip(a)]. 15112 a(x \ 1,y,K(z,u)) = K(u,a(z,y,x) \ 1). [para(11929(a,1),15111(a,1,2,1)),flip(a)]. 15113 (x \ y) \ (x \ L(T(y,((z \ 1) \ u) \ w),w,K(u \ w,z))) = K(y,u \ ((z \ 1) * w)). [para(14876(a,1),15103(a,1,2,2))]. 15114 (x \ y) \ (x \ L(T(y,(z * (u \ (u / z))) \ w),w,K((u \ (u / (1 / (z \ 1)))) \ w,z))) = K(y,(u \ (u / (1 / (z \ 1)))) \ ((z \ 1) * w)). [para(11333(a,1),15113(a,1,2,2,1,2,1))]. 15115 (x \ y) \ (x \ L(T(y,((z \ (z / u)) * u) \ w),w,K((z \ (z / ((u \ 1) \ 1))) \ w,u))) = K(y,(z \ (z / ((u \ 1) \ 1))) \ ((u \ 1) * w)). [para(11905(a,1),15113(a,1,2,2,1,2,1))]. 15116 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(7919(a,1),14207(a,2,2))]. 15117 K((x \ y) \ (x \ T(y,z)),u \ ((x \ T(y,z)) \ (x \ y))) = K(y,K(z,((x \ T(y,z)) * u) \ (x \ y))). [hyper(236,a,7886,a(flip),b,14592,a)]. 15118 ((x / T(y,z)) \ 1) * (u / ((x / T(y,z)) \ 1)) = (K(y,z) / (x / y)) * (u / (K(y,z) / (x / y))). [para(14614(a,1),15019(a,1,2,2))]. 15119 (((x * y) \ x) \ 1) / ((y \ 1) \ 1) = 1 / (y * ((x * y) \ x)). [para(12608(a,1),15070(a,1,2))]. 15120 (1 / ((x * y) \ x)) / y = 1 / (y * ((x * y) \ x)). [hyper(236,a,6551,a(flip),b,15119,a(flip)),flip(a)]. 15121 (1 / ((x * y) \ x)) / y = (y * ((x * y) \ x)) \ 1. [hyper(236,a,7038,a(flip),b,15120,a)]. 15122 (x * ((y * x) \ y)) \ 1 = x \ (1 / ((y * x) \ y)). [hyper(236,a,14903,a(flip),b,15121,a(flip))]. 15123 ((x * ((y * x) \ y)) \ 1) \ (1 / ((y * x) \ y)) = x. [para(15121(a,1),65(a,1,1))]. 15124 (x * (y * ((z * y) \ z))) \ R(x,y * ((z * y) \ z),(y * ((z * y) \ z)) \ 1) = y \ (1 / ((z * y) \ z)). [hyper(236,a,391,a,b,15122,a(flip)),flip(a)]. 15125 ((x * ((y * x) \ y)) * z) * ((x * ((y * x) \ y)) \ 1) = R(z,x * ((y * x) \ y),x \ (1 / ((y * x) \ y))). [para(15122(a,1),7039(a,2,3))]. 15126 (x \ (L(1 / x,x,y) \ 1)) * T(z,x \ (1 / ((y * x) \ y))) = z * ((x \ 1) / ((x * ((y * x) \ y)) * (x \ 1))). [para(15122(a,1),11968(a,1,2,2))]. 15127 ((x * ((y * x) \ y)) \ 1) * T(x,z) = T(x,z) / (x * ((y * x) \ y)). [para(15123(a,1),4667(a,1,2,1))]. 15128 ((x * ((y * x) \ y)) \ 1) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [hyper(236,a,7038,a(flip),b,15127,a)]. 15129 (x \ (1 / ((y * x) \ y))) * T(x,z) = (x * ((y * x) \ y)) \ T(x,z). [para(15122(a,1),15128(a,1,1))]. 15130 T((1 / ((x * y) \ x)) * K(y,z),y) = (y * ((x * y) \ x)) \ T(y,z). [hyper(236,a,14904,a,b,15129,a(flip)),flip(a)]. 15131 T(T(1 / ((x * y) \ x),z),y) = (y * ((x * y) \ x)) \ T(y,z). [para(6318(a,1),15130(a,1,1))]. 15132 (x * ((y * x) \ y)) \ T(x,z) = T(1 / ((y * x) \ y),z). [hyper(236,a,5721,a(flip),b,15131,a(flip))]. 15133 1 / ((x * T(y,z)) \ x) = T(1 / ((x * y) \ x),z). [hyper(236,a,9985,a(flip),b,15132,a(flip)),flip(a)]. 15134 T(1 / ((x * y) \ x),z) \ 1 = (x * T(y,z)) \ x. [para(15133(a,1),65(a,1,1))]. 15135 ((x * T(y,z)) \ x) \ 1 = T(((x * y) \ x) \ 1,z). [para(15134(a,1),2483(a,1,1))]. 15136 K(x,T(((y * z) \ y) \ 1,u) \ x) = K(x,1 \ (((y * T(z,u)) \ y) * x)). [para(15135(a,1),6600(a,1,2,1))]. 15137 K(x,1 \ (((y * T(z,u)) \ y) * x)) = K(x,T(((y * z) \ y) * x,u)). [hyper(236,a,14353,a(flip),b,15136,a(flip))]. 15138 K(x,T(((y * z) \ y) * x,u)) = K(x,((y * T(z,u)) \ y) * x). [para(50(a,1),15137(a,1,2)),flip(a)]. 15139 K(x,T(((y * z) \ y) * x,u)) = K(x,x * ((y * T(z,u)) \ y)). [hyper(236,a,6605,a(flip),b,15138,a)]. 15140 K(x,T(((y * z) \ y) * x,u)) = K(x,T(z,u) \ x). [hyper(236,a,10843,a(flip),b,15139,a)]. 15142 K(x,T(((y * z) \ y) * x,u)) = K(x,T(z \ x,u)). [hyper(236,a,8841,a(flip),b,15140,a)]. 15143 K(x,T((y \ z) \ x,u)) = K(x,T((z \ y) * x,u)). [para(14(a,1),15142(a,1,2,1,1,1)),flip(a)]. 15144 K(x,T((y \ z) * x,z)) = K(x,(y / z) \ x). [hyper(9749,a,15143,a),flip(a)]. 15145 K(x,T(x * (y \ z),z)) = K(x,(y / z) \ x). [hyper(13127,a,15144,a)]. 15146 K(x,T((y \ z) * x,y)) = K(x,(y / z) \ x). [hyper(236,a,14853,a(flip),b,15144,a(flip)),flip(a)]. 15147 K(x,((y \ z) / z) \ x) = K(x,T(x * T(y,z),z)). [hyper(236,a,11771,a(flip),b,15145,a(flip))]. 15148 K(x,(y / (y * z)) \ x) = K(x,T(z * x,y)). [para(13(a,1),15146(a,1,2,1,1)),flip(a)]. 15149 K(x,T((y / (y * z)) \ T(T(x,u),w),w)) = K(T(x,w),T(z * T(x,w),y)). [hyper(8999,a,15148,a)]. 15150 R(K(x,T(x * T(y,z),z)),x * u,w) = K(R(x,u,w),((y \ z) / z) \ x). [para(15147(a,1),6678(a,1,1))]. 15151 K(T(x,y),T(z * T(x,y),u)) = K(x,T((u / (u * z)) \ x,y)). [hyper(236,a,9000,a(flip),b,15149,a(flip))]. 15152 K(x,T(T(y * T(x,z),u),z)) = K(x,T((u / (u * y)) \ x,z)). [hyper(7823,a,15151,a)]. 15154 K(x,T((y / (y * z)) \ x,u)) = K(x,T(T(x * z,y),u)). [hyper(236,a,10382,a(flip),b,15152,a(flip))]. 15156 K(x,T((y / (z * y)) \ x,u)) = K(x,T(T(x * T(z,y),y),u)). [para(119(a,1),15154(a,1,2,1,1,2))]. 15157 K(x,T(T(x * T(y,z),z),y)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). [hyper(236,a,9751,a(flip),b,15156,a(flip))]. 15158 K(x,T(x * T(y,z),z)) = K(x,R(1 / (1 / (1 / y)),y,z) \ x). [hyper(9437,a,15157,a)]. 15159 K(x,T(x * T(y,z),z)) = K(x,R((1 / (1 / y)) \ 1,y,z) \ x). [hyper(236,a,5490,a(flip),b,15158,a)]. 15160 K(x,T(x * T(y,z),z)) = K(x,R(1 / y,y,z) \ x). [para(65(a,1),15159(a,2,2,1,1))]. 15161 R(K(x,x * y),y,z) = K(x,T(x * T(y,z),z)). [hyper(236,a,11922,a(flip),b,15160,a),flip(a)]. 15163 R(R(K(x,x * y),y,z),x * u,w) = K(R(x,u,w),T(x * T(y,z),z)). [para(15161(a,2),6678(a,1,1))]. 15164 R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),T(x * T(u,w),w)). [hyper(236,a,6682,a(flip),b,15163,a(flip)),flip(a)]. 15165 K(R(x,y,z),((u \ w) / w) \ x) = K(R(x,y,z),T(x * T(u,w),w)). [hyper(236,a,6678,a(flip),b,15150,a(flip))]. 15166 K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * (w / (u \ w))). [hyper(236,a,13552,a(flip),b,15165,a(flip))]. 15167 K(R(x,y,z),T(x * T(u,w),w)) = K(R(x,y,z),x * u). [para(62(a,1),15166(a,2,2,2))]. 15168 R(K(R(x,y,z),x * u),u,w) = K(R(x,y,z),x * u). [hyper(236,a,15164,a,b,15167,a(flip)),flip(a)]. 15170 R(K(x,R(x * y,z,u)),y,w) = K(R(x,z,u),x * y). [para(12874(a,1),15168(a,1,1))]. 15171 K(x,R(R(x * y,z,u),y,w)) = K(R(x,z,u),x * y). [hyper(12888,a,15170,a)]. 15172 K(x,R(R(x * y,z,u),y,w)) = K(x,R(x * y,z,u)). [hyper(236,a,12874,a(flip),b,15171,a)]. 15173 K(x,R(x * y,y * z,u)) = K(x,R(x * y,z,u)). [hyper(236,a,12900,a(flip),b,15172,a(flip))]. 15175 K(x,R(x * y,z,u)) = K(x,x * R(y,z,u)). [hyper(236,a,13556,a(flip),b,15173,a(flip))]. 15176 K(x,R(x * y,z,u)) * x = T(x,x * R(y,z,u)). [para(15175(a,2),4897(a,2,1)),flip(a)]. 15177 T(x,R(x * y,z,u)) = T(x,x * R(y,z,u)). [hyper(4898,a,15176,a)]. 15178 L(T(x,R(y,z,u)),y,T(x,R(y,z,u))) = T(x,R(x * y,z,u)). [hyper(236,a,13364,a,b,15177,a),flip(a)]. 15179 L(T(x,R(y,z,u)),y,x) = T(x,R(x * y,z,u)). [hyper(236,a,7536,a(flip),b,15178,a(flip)),flip(a)]. 15180 T(x,x * y) * a(K(x,y),z,u) = T(x,R(x * y,z,u)). [hyper(236,a,12885,a,b,15179,a(flip)),flip(a)]. 15182 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(3439(a,2),15179(a,2,2,1))]. 15183 T(x,x * y) * a(x,z,K(u,y)) = T(x,R(x * y,z,u)). [para(13987(a,1),15180(a,1,2))]. 15184 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(11470(a,1),15116(a,1,1,2))]. 15185 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(236,a,10476,a,b,15184,a(flip)),flip(a)]. 15186 (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(11982(a,1),15185(a,1,1)),flip(a)]. 15187 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(15186(a,1),545(a,1))]. 15188 L((x \ 1) * L((x \ 1) \ 1,y,z),x,T(u,w)) = L(x \ 1,x,u) * L(L(x \ 1,x,u) \ 1,y,z). [para(14767(a,1),14768(a,1,2,1,1)),flip(a)]. 15189 L((x \ 1) * L((x \ 1) \ 1,y,z),x,T(u,w)) = L((x \ 1) * L((x \ 1) \ 1,y,z),x,u). [hyper(236,a,2683,a(flip),b,15188,a)]. 15191 L((x \ 1) * L((x \ 1) \ 1,y,z),x,T(u,w)) = L(x \ L(x,y,z),x,u). [para(1051(a,1),15189(a,2,1))]. 15192 L(x \ L(x,y,z),x,T(u,w)) = L(x \ L(x,y,z),x,u). [para(1051(a,1),15191(a,1,1))]. 15193 ((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(9713(a,1),14919(a,2,3))]. 15194 (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(9713(a,1),15193(a,1,1))]. 15195 (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(12870(a,1),15194(a,1,2))]. 15196 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(236,a,12402,a(flip),b,15195,a(flip)),flip(a)]. 15197 L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = K(u,y) * (K(y,u) * x). [para(5268(a,1),15196(a,1,2)),flip(a)]. 15198 L(x,K(y,z) * K(y,u),K(z,y) * K(u,y)) = x. [hyper(236,a,5268,a(flip),b,15197,a)]. 15201 ((x / (y * z)) * (y * T(z,u))) * ((y * K(z,u)) \ y) = y * R(y \ x,y * K(z,u),K(u,z)). [para(7549(a,1),14943(a,2,2,3))]. 15203 (x * (y * ((z * y) \ z))) \ R(x,y * ((z * y) \ z),y \ (1 / ((z * y) \ z))) = y \ (1 / ((z * y) \ z)). [para(15122(a,1),15124(a,1,2,3))]. 15204 ((x * ((y * x) \ y)) * z) * ((x * ((y * x) \ y)) \ 1) = R(z,x * ((y * x) \ y),x \ (((y * x) \ y) \ 1)). [hyper(236,a,14368,a(flip),b,15125,a)]. 15205 (x * (y * ((z * y) \ z))) \ R(x,y * ((z * y) \ z),y \ (((z * y) \ z) \ 1)) = y \ (1 / ((z * y) \ z)). [para(14368(a,1),15203(a,1,2))]. 15206 ((x * ((y * x) \ y)) * z) * (x \ (1 / ((y * x) \ y))) = R(z,x * ((y * x) \ y),x \ (((y * x) \ y) \ 1)). [para(15122(a,1),15204(a,1,2))]. 15207 T(x * (a(y,z,u) \ w),K(a(y,z,u) \ w,w)) = a(u,z,K(y,w)) * (x * (a(y,z,u) \ L(w,z,K(y,u)))). [para(14772(a,1),14799(a,1,2,2)),flip(a)]. 15208 T(x * (a(y,z,u) \ w),K(a(y,z,u) \ w,w)) = a(u,z,K(y,w)) * (x * (w / a(y,z,u))). [para(14713(a,1),15207(a,2,2,2))]. 15209 T(x * (a(y,z,u) \ w),a(u,z,K(y,w))) = a(u,z,K(y,w)) * (x * (w / a(y,z,u))). [para(14797(a,1),15208(a,1,2))]. 15210 L(x,y,K(z,u)) * (a(z,y,u) * a(w,v5,K(a(z,y,u) * x,v6))) = L(a(z,y,u) * x,v5,K(v6,w)). [para(14744(a,1),14804(a,2,1))]. 15211 L(x,y,K(z,u)) * (a(z,y,u) * a(a(z,y,u) * x,w,K(v5,v6))) = L(a(z,y,u) * x,w,K(v5,v6)). [para(13990(a,2),15210(a,1,2,2))]. 15212 (x \ (L(1 / x,x,y) \ 1)) * T(z,x \ (((y * x) \ y) \ 1)) = z * ((x \ 1) / ((x * ((y * x) \ y)) * (x \ 1))). [para(4597(a,1),15126(a,1,2))]. 15213 x * ((y \ 1) / ((y * ((z * y) \ z)) * (y \ 1))) = (y \ (L(1 / y,y,z) \ 1)) * x. [para(14905(a,1),15212(a,1,2)),flip(a)]. 15214 (x \ (L(1 / x,x,y) \ 1)) * z = z * ((x \ 1) / L(x \ 1,x,y)). [para(1055(a,1),15213(a,1,2,2)),flip(a)]. 15215 (x \ (L(1 / x,x,y) \ 1)) * z = z * (L(x \ 1,x,y) \ (x \ 1)). [para(6062(a,1),15214(a,2,2))]. 15216 (x \ (L(1 / x,x,y) \ 1)) * z = z * (x \ (L(1 / x,x,y) \ 1)). [para(6158(a,1),15215(a,2,2))]. 15217 T(x \ (L(1 / x,x,y) \ 1),z) = x \ (L(1 / x,x,y) \ 1). [hyper(168,a,15216,a,b,xx)]. 15219 T(L(x \ 1,x,y) \ (x \ 1),z) = x \ (L(1 / x,x,y) \ 1). [para(6158(a,2),15217(a,1,1))]. 15220 (L(x \ 1,y,z) \ 1) \ T(L(x \ 1,y,z) \ 1,u * w) = T(K(x,L(u / (w \ 1),y,z)),L((x \ 1) \ 1,y,z)). [hyper(236,a,11700,a,b,14258,a)]. 15221 K(x,L(x \ y,z,u)) * ((y / x) \ ((x \ y) * L(x,z,u))) = T(T(L(x,z,u) * K(y,x),y),K(L(x,z,u),x \ y)). [para(11533(a,1),14865(a,1,1))]. 15222 (L(x \ 1,y,z) \ 1) \ T(L(x \ 1,y,z) \ 1,u * w) = T(K(x,L(u / (w \ 1),y,z)),L(T(x,1),y,z)). [hyper(236,a,9908,a(flip),b,15220,a)]. 15223 (L(x \ 1,y,z) \ 1) \ T(L(x \ 1,y,z) \ 1,u * w) = T(K(x,L(u / (w \ 1),y,z)),L(x,y,z)). [para(145(a,1),15222(a,2,2,1))]. 15224 (L(x \ 1,y,z) \ 1) \ T(L(x \ 1,y,z) \ 1,u * w) = K(x,L(u / (w \ 1),y,z)). [hyper(236,a,3273,a(flip),b,15223,a)]. 15225 K(L(x \ 1,y,z) \ 1,u * w) = K(x,L(u / (w \ 1),y,z)). [hyper(4956,a,15224,a)]. 15227 K((x \ 1) \ 1,L(y * z,u,w)) = K(x,L(y / (z \ 1),u,w)). [hyper(11590,a,15225,a)]. 15228 K(x,L(y / (z \ 1),u,w)) != v5 | K(x,L(y * z,u,w)) = v5. [para(15227(a,1),5144(a,1))]. 15229 T(T(L(x,y,z) * K(u,x),u),K(L(x,y,z),x \ u)) = K(x,L(x \ u,y,z)) * (K(x \ u,x) * L(x,y,z)). [para(5519(a,1),15221(a,1,2)),flip(a)]. 15230 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(15098(a,1),15182(a,1,1))]. 15231 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(65(a,1),15230(a,1,1,2,1,2,1))]. 15232 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(10606(a,1),15231(a,1,1))]. 15233 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(236,a,8995,a(flip),b,15232,a(flip)),flip(a)]. 15235 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(65(a,1),15233(a,1,2,2,1)),flip(a)]. 15236 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = L(T(x,R(x \ y,u,w)),x \ y,x). [hyper(236,a,11677,a(flip),b,15235,a)]. 15238 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(x * (x \ y),u,w)). [hyper(236,a,15179,a(flip),b,15236,a)]. 15239 T(x,R(((x \ 1) \ 1) * (y / T(x,z)),u,w)) = T(x,R(y,u,w)). [para(14(a,1),15238(a,2,2,1))]. 15240 T(x,R(x * (y / T(1 / (1 / x),z)),u,w)) = T(x,R(y,u,w)). [para(3439(a,1),15239(a,1,2,1))]. 15241 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(7132(a,1),14359(a,2,1))]. 15242 K(T((x / y) \ 1,x),(x / y) * z) = K((((x / y) \ 1) \ y) \ y,z / (y / (((x / y) \ 1) \ y))). [para(139(a,1),14630(a,1,2,1))]. 15243 K((((x / y) \ 1) \ y) \ y,z / (y / (((x / y) \ 1) \ y))) = K((x / y) \ 1,T((x / y) * z,x)). [hyper(7823,a,15242,a),flip(a)]. 15245 K((((x / y) \ 1) \ y) \ y,z / (y / (((x / y) \ 1) \ y))) = K(1 / (x / y),T(z * (x / y),x)). [hyper(236,a,13126,a,b,15243,a)]. 15246 K(x,((y * ((z \ 1) \ 1)) \ y) \ ((y \ (y * ((z \ 1) \ 1))) \ u)) = K(x,(T(z,1) * ((((y * z) \ y) \ 1) \ 1)) \ u). [hyper(236,a,13188,a(flip),b,15005,a)]. 15247 K(x,((y * ((z \ 1) \ 1)) \ y) \ ((y \ (y * ((z \ 1) \ 1))) \ u)) = K(x,(z * ((((y * z) \ y) \ 1) \ 1)) \ u). [para(145(a,1),15246(a,2,2,1,1))]. 15248 K(x,((y * ((z \ 1) \ 1)) \ y) \ ((y \ (y * ((z \ 1) \ 1))) \ u)) = K(x,(((y * z) \ y) * z) \ u). [para(2306(a,1),15247(a,2,2,1))]. 15249 K(x,((y * ((z \ 1) \ 1)) \ y) \ ((y \ (y * ((z \ 1) \ 1))) \ u)) = K(x,z \ (((y * z) \ y) \ u)). [hyper(236,a,15006,a(flip),b,15248,a)]. 15250 K(x,((y * ((z \ 1) \ 1)) \ y) \ (((z \ 1) \ 1) \ u)) = K(x,z \ (((y * z) \ y) \ u)). [para(13(a,1),15249(a,1,2,2,1))]. 15251 K(x,((y * ((z \ 1) \ 1)) \ y) \ (z \ u)) = K(x,z \ (((y * z) \ y) \ u)). [hyper(236,a,5746,a(flip),b,15250,a(flip)),flip(a)]. 15253 K(x,((y * z) \ y) \ (z \ u)) = K(x,z \ (((y * z) \ y) \ u)). [hyper(14389,a,15251,a)]. 15254 K(x,(y * ((z * y) \ z)) \ u) = K(x,y \ (((z * y) \ z) \ u)). [hyper(236,a,15004,a,b,15253,a(flip)),flip(a)]. 15255 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(3248(a,1),15241(a,2,1,1))]. 15256 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(7612(a,1),15255(a,2,2))]. 15257 K(((x \ 1) \ K(y,x)) \ T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. [hyper(236,a,14843,a(flip),b,15256,a)]. 15259 K((x \ K(x,y)) * T(x,z),T(x,z) \ ((x \ 1) \ K(y,x))) = 1. [para(11390(a,1),15257(a,1,1))]. 15260 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(236,a,5260,a(flip),b,15086,a)]. 15261 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(236,a,8590,a(flip),b,15260,a)]. 15262 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(4485(a,1),15261(a,1,2,2,2))]. 15264 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(5260(a,1),15262(a,1,2,2))]. 15265 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,1 / (1 / (1 / (1 / L(x,y,z))))). [para(10407(a,1),15264(a,1,2,2)),flip(a)]. 15266 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,T(L(x,y,z),1)). [hyper(236,a,11037,a(flip),b,15265,a)]. 15267 (T(L(x,y,z),u) \ 1) * L((x \ 1) \ 1,y,z) = K(u,L(x,y,z)). [para(145(a,1),15266(a,2,2))]. 15268 ((1 / x) * (((y * x) \ y) \ y)) * (z / ((1 / x) * (((y * x) \ y) \ y))) = z * K((y * x) * (1 / x),x * ((((y * x) \ y) \ y) \ z)). [para(14125(a,1),14652(a,2,2))]. 15269 ((1 / x) * (((y * x) \ y) \ y)) * (z / ((1 / x) * (((y * x) \ y) \ y))) = z * K((y * x) * (1 / x),x * (T(y * x,y) \ z)). [para(13158(a,1),15268(a,2,2))]. 15270 ((1 / x) * (((y * x) \ y) \ y)) * (z / ((1 / x) * (((y * x) \ y) \ y))) = z * K((y * x) / x,x * (T(y * x,y) \ z)). [para(14135(a,1),15269(a,2,2))]. 15271 ((1 / x) * (((y * x) \ y) \ y)) * (z / ((1 / x) * (((y * x) \ y) \ y))) = z * K(y,x * (T(y * x,y) \ z)). [para(15(a,1),15270(a,2,2,1))]. 15272 ((1 / x) * (((y * x) \ y) \ y)) * (z / ((1 / x) * (((y * x) \ y) \ y))) = z * K(y,x * ((y * x) \ z)). [para(7738(a,1),15271(a,2,2))]. 15273 ((x * y) * (1 / y)) * (z / ((1 / y) * (((x * y) \ x) \ x))) = z * K(x,y * ((x * y) \ z)). [para(6402(a,1),15272(a,1,1))]. 15274 ((x * y) * (1 / y)) * (z / ((x * y) * (1 / y))) = z * K(x,y * ((x * y) \ z)). [para(6402(a,1),15273(a,1,2,2))]. 15275 (x * (1 / y)) * (z / (((x / y) * y) * (1 / y))) = z * K(x / y,y * (((x / y) * y) \ z)). [para(16(a,1),15274(a,1,1,1))]. 15276 x * K(y / z,z * (((y / z) * z) \ x)) = (y * (1 / z)) * (x / (y * (1 / z))). [para(16(a,1),15275(a,1,2,2,1)),flip(a)]. 15277 (x * (1 / y)) * (z / (x * (1 / y))) = z * K(x / y,y * (x \ z)). [para(16(a,1),15276(a,1,2,2,2,1)),flip(a)]. 15279 (x * (1 / y)) * (z / (x * (1 / y))) = z * K(y \ x,(x \ z) * y). [para(13028(a,1),15277(a,2,2))]. 15280 (((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(5790(a,1),14817(a,1,1,1))]. 15281 ((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(11390(a,1),15280(a,1,1))]. 15282 ((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(11390(a,1),15281(a,1,2,1))]. 15283 ((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(5790(a,1),15282(a,1,2,2,2))]. 15284 1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = ((x \ K(x,y)) * T(x,z)) \ 1. [para(15259(a,1),15283(a,1,2)),flip(a)]. 15285 1 / (((x \ K(x,y)) \ 1) \ T(x,z)) = x * (K(y,x) / T(x,z)). [hyper(236,a,12903,a(flip),b,15284,a)]. 15287 1 / (((x \ 1) \ K(y,x)) \ T(x,z)) = x * (K(y,x) / T(x,z)). [para(5790(a,1),15285(a,1,2,1))]. 15288 1 / ((x \ K(x,y)) * T(x,z)) = x * (K(y,x) / T(x,z)). [para(11390(a,1),15287(a,1,2))]. 15289 (x * (K(y,x) / T(x,z))) \ 1 = (x \ K(x,y)) * T(x,z). [para(15288(a,1),65(a,1,1))]. 15290 (((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(15289(a,1),3407(a,1,1,1))]. 15291 (x \ y) \ (x \ L(T(y,(z * (u \ (u / z))) \ w),w,K((u \ (u / z)) \ w,z))) = K(y,(u \ (u / (1 / (z \ 1)))) \ ((z \ 1) * w)). [para(62(a,1),15114(a,1,2,2,3,1,1,2,2))]. 15292 (x \ y) \ (x \ L(T(y,(z * (u \ (u / z))) \ w),w,K((u \ (z \ u)) \ w,z))) = K(y,(u \ (u / (1 / (z \ 1)))) \ ((z \ 1) * w)). [para(14366(a,1),15291(a,1,2,2,3))]. 15293 (x \ y) \ (x \ L(T(y,((z \ (z / u)) * u) \ w),w,K((z \ (z / u)) \ w,u))) = K(y,(z \ (z / ((u \ 1) \ 1))) \ ((u \ 1) * w)). [para(5742(a,1),15115(a,1,2,2,3))]. 15294 (x \ y) \ (x \ L(T(y,((z \ (z / u)) * u) \ w),w,K((z \ (u \ z)) \ w,u))) = K(y,(z \ (z / ((u \ 1) \ 1))) \ ((u \ 1) * w)). [para(14366(a,1),15293(a,1,2,2,3))]. 15295 ((x \ R(x,y,y \ 1)) \ 1) \ ((1 / (x \ R(x,y,y \ 1))) / (R(x,y,y \ 1) \ x)) = T((R(x,y,y \ 1) \ x) \ 1,a(x,y,y \ 1) \ 1). [para(688(a,1),15028(a,2,2,1))]. 15296 ((x \ R(x,y,y \ 1)) \ 1) \ ((1 / (x \ R(x,y,y \ 1))) / (R(x,y,y \ 1) \ x)) = (R(x,y,y \ 1) \ x) \ 1. [hyper(236,a,10424,a(flip),b,15295,a)]. 15298 (a(x,y,y \ 1) \ 1) \ ((1 / (x \ R(x,y,y \ 1))) / (R(x,y,y \ 1) \ x)) = (R(x,y,y \ 1) \ x) \ 1. [para(688(a,1),15296(a,1,1,1))]. 15299 (a(x,y,y \ 1) \ 1) \ ((1 / a(x,y,y \ 1)) / (R(x,y,y \ 1) \ x)) = (R(x,y,y \ 1) \ x) \ 1. [para(688(a,1),15298(a,1,2,1,2))]. 15300 (a(x,y,y \ 1) \ 1) \ ((a(x,y,y \ 1) \ 1) / (R(x,y,y \ 1) \ x)) = (R(x,y,y \ 1) \ x) \ 1. [para(12738(a,1),15299(a,1,2,1))]. 15301 (a(x,y,y \ 1) \ 1) \ ((R(x,y,y \ 1) \ x) \ (a(x,y,y \ 1) \ 1)) = (R(x,y,y \ 1) \ x) \ 1. [para(10426(a,1),15300(a,1,2))]. 15302 (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(12903(a,1),15290(a,1,1))]. 15303 (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(15289(a,1),15302(a,1,2,2))]. 15304 (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(8622(a,1),15303(a,1,2))]. 15305 (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(7015(a,1),15304(a,1,2))]. 15306 ((((x * (K(y,x) / T(x,z))) \ 1) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(15198(a,1),15305(a,1,2)),flip(a)]. 15307 ((((x \ K(x,y)) * T(x,z)) \ 1) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(15289(a,1),15306(a,1,1,1,1))]. 15308 ((x * (K(y,x) / T(x,z))) \ 1) * u = (x * (K(y,x) / T(x,z))) \ u. [para(12903(a,1),15307(a,1,1,1))]. 15309 (x * (K(y,x) / T(x,z))) \ u = ((x \ K(x,y)) * T(x,z)) * u. [para(15289(a,1),15308(a,1,1)),flip(a)]. 15310 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(15309(a,1),8986(a,1,1))]. 15311 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(8683(a,1),15310(a,1,2))]. 15312 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(236,a,14995,a(flip),b,15311,a(flip)),flip(a)]. 15313 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(4859(a,1),15312(a,1,2))]. 15314 ((x \ 1) \ K(y,x)) \ (T(x,z) * u) = ((x \ K(x,y)) * T(x,z)) * u. [hyper(236,a,12511,a(flip),b,15313,a(flip))]. 15316 (((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(15314(a,1),12722(a,1,1))]. 15317 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(5543(a,1),15316(a,1,1,1)),flip(a)]. 15318 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(5475(a,1),15317(a,2,2))]. 15319 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(6028(a,1),15318(a,2,2))]. 15320 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(10935(a,1),15319(a,2,2))]. 15321 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),15320(a,2,2,1))]. 15322 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(236,a,6201,a(flip),b,15321,a)]. 15324 T(((x \ K(x,y)) \ 1) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [hyper(236,a,9438,a(flip),b,15322,a)]. 15325 T(((x \ 1) \ K(y,x)) \ (T(x,x \ 1) * z),T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(5790(a,1),15324(a,1,1,1))]. 15326 T(((x \ K(x,y)) * T(x,x \ 1)) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(15314(a,1),15325(a,1,1))]. 15327 T(K(x,y) * z,T(x,x \ 1) * z) = T(z,x * z) * K(x,y). [para(5543(a,1),15326(a,1,1,1))]. 15328 T(K(x,y) * z,x * z) = T(z,x * z) * K(x,y). [hyper(236,a,4513,a(flip),b,15327,a(flip)),flip(a)]. 15329 T(K(x,y) * z,x * z) = T(z,z * x) * K(x,y). [para(4255(a,1),15328(a,2,1))]. 15330 T(K(x,x * (y \ L(y,z,u))) * w,x * w) = T(w,w * x) * a(u,z,K(y,x)). [para(13695(a,1),15329(a,2,2))]. 15331 T(a(x,y,K(z,u)) * w,u * w) = T(w,w * u) * a(x,y,K(z,u)). [para(13695(a,1),15330(a,1,1,1))]. 15332 T(a(x,y,K(z,u)) * x,u * x) = T(x,R(x * u,y,z)). [hyper(236,a,15183,a(flip),b,15331,a)]. 15333 T(x * a(x,y,K(z,u)),u * x) = T(x,R(x * u,y,z)). [para(12748(a,1),15332(a,1,1))]. 15334 T(T(x,a(y,z,u) \ x),u * x) = T(x,R(x * u,z,y)). [para(14037(a,2),15333(a,1,1))]. 15335 T(T(x,x * y),a(z,u,y) \ x) = T(x,R(x * y,u,z)). [hyper(4284,a,15334,a)]. 15336 T(x,R(x * y,z,u)) = T(x,L(y * x,z,u)). [hyper(236,a,13923,a(flip),b,15335,a(flip))]. 15337 T(x,L((y / T(1 / (1 / x),z)) * x,u,w)) = T(x,R(y,u,w)). [hyper(236,a,15240,a(flip),b,15336,a(flip))]. 15338 T(x,L(y * (x * (1 / T(x,z))),u,w)) = T(x,R(y,u,w)). [para(9991(a,1),15337(a,1,2,1))]. 15339 T(x,L(y * (x * (T(x,z) \ 1)),u,w)) = T(x,R(y,u,w)). [hyper(236,a,13925,a(flip),b,15338,a(flip)),flip(a)]. 15340 T(x,L(y * K(z,x),u,w)) = T(x,R(y,u,w)). [para(4828(a,2),15339(a,1,2,1,2))]. 15341 T(x,R(y,z,u)) = T(x,L(y,z,u)). [para(133(a,1),15340(a,1,2,1)),flip(a)]. 15342 T(x * (a(y,z,u) \ 1),L(x,a(y,z,u) \ 1,a(y,z,u))) = a(y,z,u) \ R(x,a(y,z,u) \ 1,a(y,z,u)). [hyper(236,a,13910,a(flip),b,15341,a(flip))]. 15343 x \ T(x,L(y,z,u)) = K(x,R(y,z,u)). [hyper(72,a,15341,a(flip),b,4887,a(flip))]. 15344 R(x,y,z) * T(u,L(x,y,z)) = u * R(x,y,z). [para(15341(a,1),119(a,1,2))]. 15345 R(x,y,z) * T(u,L(x,y,z)) != w | u * R(x,y,z) = w. [para(15341(a,1),220(a,1,2))]. 15346 T(x,L((y / z) / u,u,z)) = T(x,y / (u * z)). [para(235(a,1),15341(a,1,2)),flip(a)]. 15347 T(x,L((y * K(z,u)) / w,w,K(u,z))) = T(x,y / (w * K(u,z))). [para(7563(a,1),15341(a,1,2)),flip(a)]. 15348 K(x,R(y,z,u)) = K(x,L(y,z,u)). [hyper(4956,a,15343,a),flip(a)]. 15349 K(x,R(y,z,u)) != w | K(x,L(y,z,u)) = w. [para(15343(a,1),4956(a,1))]. 15350 R(K(x,y),z,u) = K(x,L(y,z,u)). [hyper(12872,a,15348,a)]. 15351 K(R(x,y,z),u) = K(x,L(u,y,z)). [hyper(236,a,12874,a,b,15348,a(flip)),flip(a)]. 15352 K(x,R(y \ z,y,u)) = K(x,(u * y) \ (u * z)). [para(105(a,1),15348(a,2,2))]. 15353 K(x,L(y / z,z,u)) = K(x,(y * u) / (z * u)). [para(114(a,1),15348(a,1,2)),flip(a)]. 15354 K(x,L((y / z) / u,u,z)) = K(x,y / (u * z)). [para(235(a,1),15348(a,1,2)),flip(a)]. 15355 ((x * y) * z) * K(y * z,L(x,y,z)) = (y * z) * R(x,y,z). [para(15348(a,1),473(a,1,2))]. 15356 R(x,y,z) * (K(u,R(x,y,z)) * (y * z)) = K(u,L(x,y,z)) * ((x * y) * z). [para(15348(a,1),5534(a,2,1))]. 15357 K(x,K((1 / (y \ z)) / u,L(u / y,y,y \ z))) = K(x,K(z,(1 / (y \ z)) / u)). [para(15348(a,1),10061(a,1,2))]. 15358 K(x,L(y,z,u)) != w | R(K(x,y),z,u) = w. [para(15348(a,1),12872(a,1))]. 15359 K(x * y,L(z,x,y)) * (((z * x) * y) / u) = ((x * y) * R(z,x,y)) / u. [para(15348(a,1),14809(a,1,1))]. 15360 ((x * K(y,z)) * u) / (x * u) = K(y,L(T(z,x),x,u)). [hyper(8100,a,15350,a)]. 15361 a(x,y,K(z,L(u,w,v5))) = R(K(a(x,y,z),u),w,v5). [hyper(236,a,13871,a,b,15350,a),flip(a)]. 15362 R(K(x,y),z,u) = L(K(x,y),z,u). [hyper(236,a,11470,a,b,15350,a)]. 15363 K(x,L((y / z) / u,z \ y,z)) = K(x,y / (u * z)). [hyper(236,a,10687,a(flip),b,15350,a(flip))]. 15364 K(x,L(T(T(y,z),z * u),z,u)) = (z * u) \ ((z * K(x,y)) * u). [hyper(236,a,9721,a(flip),b,15350,a(flip))]. 15365 K(x,L(T(y,z),K(y,x) * u,(K(y,x) * u) \ z)) = z \ (u * ((K(y,x) * u) \ z)). [hyper(236,a,7301,a(flip),b,15350,a(flip))]. 15366 K(x,L(y \ 1,z,u)) = K(x,R(y,z,u) \ 1). [hyper(236,a,6791,a(flip),b,15350,a(flip))]. 15367 K(x,L(y,z,u)) * (z * u) = (K(x,y) * z) * u. [para(15350(a,1),113(a,1,1))]. 15368 K(x,L(y,z,u)) * (u * z) = (K(x,y) * z) * T(u,z). [para(15350(a,1),10681(a,1,1))]. 15370 K(R(x,y,z),u) = K(L(x,y,z),u). [hyper(236,a,11533,a,b,15351,a)]. 15372 K(x,L(R(x,y * z,a(x,y,z)) * (((x * y) * z) \ (((y * z) * a(x,y,z)) * u)),y * z,a(x,y,z))) = K(R(x,y * z,a(x,y,z)),u). [hyper(236,a,10853,a(flip),b,15351,a(flip))]. 15373 K((x * y) / (z * y),u) = K(x / z,L(u,z,y)). [para(114(a,1),15351(a,1,1))]. 15374 K((x / y) / z,L(u,z,y)) = K(x / (z * y),u). [para(235(a,1),15351(a,1,1)),flip(a)]. 15375 K(x \ R(x,y,z),L(u,x,w)) = K((R(x,y,z) * w) / (x * w),u). [para(3694(a,1),15351(a,1,1)),flip(a)]. 15376 K(x,L(y,x \ z,u)) \ ((x \ z) * u) = T(R(x,x \ z,u),y) \ (z * u). [para(15351(a,1),5342(a,1,1))]. 15377 L(K(x,y / z),y,u) = K(x,(y * u) / (z * u)). [hyper(6810,a,15362,a),flip(a)]. 15378 L(K(x / (y / z),u),x,z) = K((x * z) / y,u). [hyper(236,a,6689,a(flip),b,15362,a(flip))]. 15380 L(K(x,y),z,u) * (z * u) = (K(x,y) * z) * u. [para(15362(a,1),113(a,1,1))]. 15381 L(K(x,y),z,u) \ ((K(x,y) * z) * u) = z * u. [para(15362(a,1),143(a,1,1))]. 15382 T(L(K(x,y),z,u),w) * (z * u) = (T(K(x,y),w) * z) * u. [para(15362(a,1),470(a,1,1,1))]. 15384 L(K(x,y),z,u) * (u * z) = (K(x,y) * z) * T(u,z). [para(15362(a,1),10681(a,1,1))]. 15385 R(K(x,y),z,u) != w | K(x,L(y,z,u)) = w. [para(15362(a,2),11589(a,1))]. 15386 L(K(x,y),z,u) \ (u * (K(x,y) * z)) = z * T(u,K(x,y) * z). [para(15362(a,1),14866(a,1,1))]. 15387 K(L(x * K(y,x),y,z),T(u,y * z)) = K((y * z) \ ((y * x) * z),u). [hyper(8401,a,15370,a),flip(a)]. 15388 K(L((x / y) / z,z,y),u) = K(x / (z * y),u). [para(235(a,1),15370(a,1,1)),flip(a)]. 15389 K(L(x * K(y,x),y,z),T(u,y * z)) != w | K((y * z) \ ((y * x) * z),u) = w. [para(15370(a,1),8401(a,1))]. 15391 K(x,T((y * z) / u,u / z)) != w | K(x,L((u / z) \ y,u / z,z)) = w. [para(740(a,1),15349(a,1,2))]. 15392 K(x,((y * z) * (z \ (u \ 1))) * u) != w | K(x,L(y,z,z \ (u \ 1))) = w. [para(14184(a,2),15349(a,1))]. 15393 K((x * y) / ((z \ x) * y),u) != w | K(z,L(u,x,y)) = w. [para(6673(a,2),15385(a,1))]. 15395 K(x,R(y,z,u) \ 1) = K(x,L(y,z,u) \ 1). [hyper(236,a,11486,a(flip),b,15366,a(flip))]. 15396 K(x,L((y / z) \ 1,z,z \ u)) != w | K(x,u / (y * (z \ u))) = w. [para(15366(a,2),5873(a,1))]. 15399 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T((u * z) / y,y / z) \ 1). [para(740(a,1),15395(a,1,2,1)),flip(a)]. 15400 R(x,y,y \ 1) * T(z,x) = z * R(x,y,y \ 1). [para(14362(a,1),15344(a,1,2))]. 15403 T(x,L((y / z) / T(u,z),T(u,z),z)) = T(x,y / (u * ((u * z) / u))). [para(3875(a,1),15346(a,2,2,2))]. 15405 K(x,T(y / (z * u),z)) = K(x,(u * z) \ (u * (y / u))). [para(632(a,1),15352(a,1,2))]. 15406 K(x,(y * (z \ u)) / (z * (z \ u))) = K(x,L(y / z,u,z \ u)). [hyper(14595,a,15353,a),flip(a)]. 15407 K(x,T(L(y,z / y,u),z)) = K(x,(z * u) / ((z / y) * u)). [hyper(236,a,10815,a(flip),b,15353,a(flip)),flip(a)]. 15408 K(x,K((y / z) / u,L(w,y / z,z))) = K(x,K(w,y / (u * z))). [para(15354(a,1),11569(a,2,2))]. 15409 K(x,L(y,z,L(u,K(x,y),z))) \ (z * (T(K(x,y),z) * u)) = z * L(u,K(x,y),z). [hyper(72,a,11115,a(flip),b,15367,a)]. 15410 x \ ((K(K(y,L(z,u,x)),u * x) * w) / (((u * x) * K(y,L(z,u,x))) \ w)) = T(K(y,z) * u,x). [hyper(394,a,11068,a,b,15367,a(flip)),flip(a)]. 15411 K(x,L(y,y \ z,u)) * ((y \ z) * u) = (T(y,x) \ z) * u. [para(5204(a,1),15367(a,2,1))]. 15412 T(x,(K(x,y) * z) * u) = T(x,z * u). [para(15367(a,1),7409(a,1,2))]. 15413 K(L(x,y,z),u) * ((x * y) * z) = (K(x,u) * (x * y)) * z. [para(11471(a,1),15367(a,1,1))]. 15414 K(x,L(y,z,u)) * ((y * z) * u) = (K(x,y) * (y * z)) * u. [para(11475(a,1),15367(a,1,1))]. 15415 K(((K(x,y) * z) * u) \ (K(x,L(y,z,u)) * w),v5) != v6 | K((z * u) \ w,L(v5,w,K(x,L(y,z,u)))) = v6. [para(15367(a,1),11591(a,1,1,1))]. 15416 ((K(x,y) * z) * u) * a(x,z,K(u,L(y,z,u))) = (K(x,L(y,z,u)) * z) * u. [para(15367(a,1),13991(a,1,1))]. 15417 K((x * y) / ((z \ 1) * y),u) = K(x * z,L(u,z \ 1,y)). [hyper(236,a,14136,a(flip),b,15373,a)]. 15418 K(((x \ y) * x) / (z * x),u) != w | K((x * z) \ y,T(u,z)) = w. [para(15373(a,2),11553(a,1))]. 15419 x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,y \ x)). [hyper(7848,a,15378,a)]. 15421 (K(x,y) * z) * u != w * (z * u) | L(K(x,y),z,u) = w. [para(15380(a,1),20(a,1))]. 15422 K(L((x / K(y,L(z,u / z,w))) / (w * u),w * u,K(y,L(z,u / z,w))),v5) = K(x / (w * (u * K(y,z))),v5). [para(6586(a,1),15388(a,2,1,2))]. 15423 K(x,T(L((y / z) / u,u,z),w)) = ((w * x) / w) / ((w * (x * K(y / (u * z),x))) / w). [para(15388(a,1),9124(a,1,2,1,2,2)),flip(a)]. 15424 a(x,y,K(z,L(u,w,v5))) = R(a(x,y,K(z,u)),w,v5). [para(13871(a,2),15361(a,2,1))]. 15425 R(x,y,y \ 1) * (x \ z) = (z / x) * R(x,y,y \ 1). [para(121(a,1),15400(a,1,2))]. 15426 K((1 / x) \ R(y,z,z \ 1),u) = K(R(y,z,z \ 1) * T(x,y),u). [para(15400(a,2),14110(a,2,1))]. 15427 K(K(x,L(T(y,z),z,u)),(z * K(x,y)) * u) != w | K((z * u) \ ((z * K(x,y)) * u),(z * K(x,y)) * u) = w. [para(15360(a,1),6502(a,1,1))]. 15428 K(x,L((y / z) / u,y,z)) = K(x,y / (u * z)). [hyper(14594,a,15363,a)]. 15429 K(x,L((y / z) * u,y,z)) = K(x,y / ((u \ 1) * z)). [hyper(15228,a,15428,a)]. 15430 K(x,R(y,y \ z,u)) = K(x,L(((z * u) / u) / (y \ z),z * u,u)). [para(110(a,2),15428(a,2,2)),flip(a)]. 15431 K(x,L(T(y / z,u) / u,y,z)) = K(x,y / (T(u,y / z) * z)). [para(4115(a,2),15428(a,1,2,1))]. 15432 K(x,L((y / (z \ u)) / K(w,w \ z),y,z \ u)) = K(x,y / (((w \ z) * w) \ u)). [para(11060(a,1),15428(a,2,2,2))]. 15433 K(x,L((y / (z \ u)) / K(w \ z,w),y,z \ u)) = K(x,y / ((w * (z / w)) \ u)). [para(11131(a,1),15428(a,2,2,2))]. 15434 K(x,y / (z * u)) * a(u,y,K(x,(y / u) / z)) = K(x,(y / u) / z). [para(15428(a,1),11503(a,1,1))]. 15435 K(x,L((y / z) / a(u,w,v5),y,z)) = K(x,y / (L(z,w,K(u,v5)) * a(u,w,v5))). [para(14744(a,2),15428(a,2,2,2))]. 15436 (x * y) * K(z,(x * (u * y)) / (x * y)) = (K(z,T(u,y)) * y) * T(x,y). [hyper(236,a,8231,a,b,15368,a(flip)),flip(a)]. 15437 T((K(x,y) * z) * T(u,z),K(x,L(y,z,u))) = u * (z * K(x,y)). [para(15368(a,1),11578(a,1,1))]. 15438 (K(x,y) * (z \ u)) * T(z,z \ u) = K(x,L(y,u,z)) * (z * (z \ u)). [para(14565(a,1),15368(a,1,1)),flip(a)]. 15439 (K(x,T(y,z)) * z) * T(u,z) = u * (K(x,T(y,u * z)) * z). [hyper(236,a,9138,a(flip),b,15384,a(flip))]. 15441 K(x,T(y / ((z \ u) * z),z \ u)) = K(x,u \ (z * (y / z))). [para(14(a,1),15405(a,2,2,1))]. 15442 K(x,T(1 / (y * z),y)) = K(x,(z * y) \ K(z,1 / z)). [para(248(a,2),15405(a,2,2,2))]. 15443 ((x * y) / R(z,z \ x,y)) * R(R(z,z \ x,y),u,u \ 1) = R(R(z,z \ x,y),u,u \ 1) * ((z \ x) * y). [para(463(a,1),15425(a,1,2)),flip(a)]. 15444 x * K(L(K(y,z),T(z,y),z \ x),x) = (T(K(y,z),x) * T(z,y)) * (z \ x). [hyper(236,a,8560,a(flip),b,15382,a(flip)),flip(a)]. 15445 K(x,(y * z) / ((y / u) * z)) = T(L(K(x,u),y,z),y). [hyper(236,a,7299,a(flip),b,15407,a(flip))]. 15446 T(L(K(x,y),z / u,u),z / u) = K(x,z / (((z / u) / y) * u)). [para(16(a,1),15445(a,1,2,1)),flip(a)]. 15447 K(x,L(y,z,u)) * ((y \ z) * u) = (T(y,x) \ z) * u. [para(11474(a,1),15411(a,1,1))]. 15448 K(L(x,y,z),u) * ((x * y) * z) = (T(x,u) * y) * z. [para(4906(a,1),15413(a,2,1))]. 15449 K(((x / y) * z) / ((y \ 1) * z),u) = K(x,L(u,y \ 1,z)). [para(16(a,1),15417(a,2,1))]. 15450 K(T(x \ y,K(z,x)) / ((u \ 1) * K(x \ z,x)),w) = K(((z / (z / x)) \ y) * u,L(w,u \ 1,K(x \ z,x))). [para(9507(a,1),15417(a,1,1,1))]. 15451 K(x,((y / z) * u) / ((z \ 1) * u)) = w / (K(y,L(x,z \ 1,u)) * w). [para(15449(a,1),5266(a,1,2,1)),flip(a)]. 15452 ((x * y) * z) * K(y * z,x) = (y * z) * R(x,y,z). [para(14309(a,1),15355(a,1,2))]. 15453 R(x,y,z) * T(y * z,x) = (y * z) * R(x,y,z). [hyper(6454,a,15452,a)]. 15454 (R(x,y,z) * u) * K(x * u,x \ R(x,y,z)) = (x * u) * R(x \ R(x,y,z),x,u). [para(3690(a,1),15452(a,1,1,1))]. 15455 ((x * y) * z) \ ((x * y) * R(z,x,y)) = (z * (x * y)) \ ((z * x) * y). [para(15453(a,1),11313(a,1,2))]. 15456 x * (K(y,T(z,x * u)) * u) = (u * K(y,z)) * T(x,u). [hyper(8098,a,15439,a),flip(a)]. 15457 ((x \ y) * K(z,u)) * T(x,x \ y) = x * (K(z,T(u,y)) * (x \ y)). [para(14(a,1),15456(a,1,2,1,2,2)),flip(a)]. 15458 K((x * (K(y,T(z,x * (u \ 1))) * (1 / u))) \ w,v5) = K((((u \ 1) * K(y,z)) * T(x,u \ 1)) \ w,v5). [para(15456(a,1),5743(a,2,1,1))]. 15459 K((x \ 1) \ (K(y,T(z,x * u)) * u),w) = K((u * K(y,z)) * T(x,u),w). [para(15456(a,1),14050(a,2,1))]. 15460 L(K(x,y),z,u) * (u * (K(y,x) * z)) = z * T(u,K(y,x) * z). [hyper(6045,a,15386,a)]. 15461 K(x,L(y / z,u,z \ u)) = K(x,(y * (z \ u)) / u). [para(14(a,1),15406(a,1,2,2)),flip(a)]. 15462 K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,y / ((1 / u) * z))). [para(14138(a,1),15408(a,1,2))]. 15463 K(x,y / (T(z,y / u) * u)) = K(x,L(z \ (y / u),y,u)). [hyper(13172,a,15431,a),flip(a)]. 15464 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(236,a,11692,a,b,15460,a(flip)),flip(a)]. 15465 K(x,L(y / z,y,y \ u)) = K(x,u / (z * (y \ u))). [hyper(15396,a,11722,a),flip(a)]. 15466 K(x,L((y * z) / u,y,z \ 1)) = K(x,y / (u * ((y * z) \ y))). [hyper(14835,a,15465,a)]. 15467 K(x,L((y * z) / u,y,z \ 1)) = K(x,y / (u * L(z \ 1,z,y))). [para(158(a,2),15466(a,2,2,2,2))]. 15468 K(x,R(y,y \ z,u)) = K(x,L(z / (y \ z),z * u,u)). [para(15(a,1),15430(a,2,2,1,1))]. 15469 K(x,R(y,y \ z,u)) = K(x,L(y,z * u,u)). [para(62(a,1),15468(a,2,2,1))]. 15470 K(x,L(y,y \ z,u)) = K(x,L(y,z * u,u)). [hyper(15349,a,15469,a)]. 15471 K(x,L(y,z * u,u)) = K(x,L(y,z,u)). [hyper(11594,a,15470,a),flip(a)]. 15472 K(L(x,y,z),T(T(u,y * z),y)) = K((y * z) \ ((y * x) * z),u). [hyper(8430,a,15387,a)]. 15473 T(x,y / (T(z,u) * u)) = T(x,y / (z * ((z * u) / z))). [hyper(236,a,15346,a(flip),b,15403,a(flip)),flip(a)]. 15474 (K(x,y) * (z \ u)) * T(z,z \ u) = K(x,L(y,u,z)) * u. [hyper(236,a,88,a(flip),b,15438,a)]. 15476 K(x,L(T(y,z \ u),u,z)) * u = ((z \ u) * K(x,y)) * T(z,z \ u). [hyper(8098,a,15474,a),flip(a)]. 15478 (K(x,L(y,z,u)) * z) / u = K(x,y) * (z / u). [hyper(74,a,15474,a(flip),b,7642,a(flip))]. 15479 K(x,((y / z) * u) / ((z \ 1) * u)) = K(L(x,z \ 1,u),y). [hyper(236,a,5266,a(flip),b,15451,a)]. 15480 K(x,((y / z) * u) / ((z \ 1) * u)) != w | K(x,L(y,z \ 1,u)) = w. [para(15479(a,2),11595(a,1))]. 15481 a(x,y,z) = ((y * z) * x) \ ((y * z) * R(x,y,z)). [hyper(236,a,24,a,b,15455,a),flip(a)]. 15482 a(x,y,z) = L(x \ R(x,y,z),x,y * z). [hyper(236,a,105,a,b,15481,a)]. 15483 a(x * K(y * z,x),y,z) = a(x,y,z). [hyper(6789,a,15481,a(flip))]. 15484 ((x * y) * z) * a(z,x,y) = (x * y) * R(z,x,y). [para(15481(a,2),14(a,1,2))]. 15485 a(x / (y * z),y,z) = a((y * z) \ x,y,z). [para(4903(a,1),15483(a,1,1))]. 15487 a((x * y) \ z,x,y) * z = ((z / (x * y)) * x) * y. [para(15485(a,1),14981(a,1,1))]. 15488 ((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(7281(a,1),15484(a,1,1,1))]. 15489 a(K(x,y) * z,y,x) * ((x * y) * z) = ((((x * y) * z) / (y * x)) * y) * x. [para(11044(a,1),15487(a,1,1,1))]. 15490 K(x,L(T(y,z \ u),u,z)) * u = z * (K(x,T(y,u)) * (z \ u)). [hyper(236,a,15457,a(flip),b,15476,a)]. 15491 x * (x / (y * (K(z,u) * (y \ x)))) = y * (K(u,T(z,x)) * (y \ x)). [hyper(236,a,14667,a,b,15490,a(flip)),flip(a)]. 15492 x * K(y,x / (z * (u \ (z \ x)))) = z * (K(y,T(u,x)) * (z \ x)). [para(6027(a,2),15491(a,1,2))]. 15493 K(x * y,z) * (((z * x) * y) / u) = ((x * y) * R(z,x,y)) / u. [para(14309(a,1),15359(a,1,1))]. 15494 ((x * y) * R(z,x,y)) / z = z \ ((z * x) * y). [hyper(236,a,14952,a(flip),b,15493,a(flip))]. 15495 x \ (((y * x) * R(R(x,z,u),y,x)) / R(x,z,u)) = R(x,z,u) \ T(R(x,z,u) * y,x). [hyper(72,a,15494,a,b,1502,a)]. 15496 T(R(x,x \ y,z),u) \ (y * z) = K(x,L(u,y,z)) \ ((x \ y) * z). [para(11540(a,1),15376(a,1,1)),flip(a)]. 15497 T(R(x,x \ y,z),u) \ (y * z) = K(L(u,y,z),x) * ((x \ y) * z). [hyper(236,a,5260,a(flip),b,15496,a)]. 15498 T(R(x,x \ y,z),u) \ (y * z) = K(u,L(x,y,z)) * ((x \ y) * z). [para(11533(a,1),15497(a,2,1))]. 15499 R(T(x,y),x \ z,u) \ (z * u) = K(y,L(x,z,u)) * ((x \ z) * u). [para(42(a,2),15498(a,1,1))]. 15500 R(T(x,y),x \ z,u) \ (z * u) = (T(x,y) \ z) * u. [hyper(236,a,15447,a(flip),b,15499,a)]. 15501 (x * y) * K(z,(x * (u * y)) / (x * y)) = (y * K(z,u)) * T(x,y). [hyper(236,a,8097,a(flip),b,15436,a)]. 15502 x * K(y,(z * (u * (z \ x))) / (z * (z \ x))) = ((z \ x) * K(y,u)) * T(z,z \ x). [hyper(515,a,15501,a)]. 15503 (x * y) \ ((y * K(z,u)) * T(x,y)) != w | K(z,(x * (u * y)) / (x * y)) = w. [para(15501(a,1),283(a,1,2)),flip(b)]. 15504 R(x,y,z) * (K(u,L(x,y,z)) * (y * z)) = K(u,L(x,y,z)) * ((x * y) * z). [para(15348(a,1),15356(a,1,2,1))]. 15505 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(((u * z) / y) \ 1,y / z)). [hyper(236,a,7269,a(flip),b,15399,a)]. 15506 ((K(x,y) * z) * u) * a(x,z,K(u,y)) = (K(x,L(y,z,u)) * z) * u. [para(8281(a,1),15416(a,1,2,3))]. 15507 (K(x,L(y,z,u)) * z) * u = (K(x,y) * z) * L(u,z,K(y,x)). [hyper(236,a,14701,a(flip),b,15506,a(flip))]. 15509 T(K(x,y),z) * T(y,x) = T(y,K(x,z)). [hyper(9170,a,15444,a),flip(a)]. 15510 K(x,y / z) * T(z \ y,x) = T(z \ y,K(x,y)). [para(8059(a,1),15509(a,1,1))]. 15512 T(x \ y,K(z,y)) = T(y / x,T(x,z)). [hyper(236,a,7680,a(flip),b,15510,a(flip))]. 15513 (x \ y) / T(y / x,T(x,z)) = K(K(z,y),x \ y). [para(15512(a,1),4826(a,2,2)),flip(a)]. 15514 (x \ y) / T(y / x,T(x,z)) = K(z,K(y,x \ y)). [hyper(236,a,7886,a(flip),b,15513,a)]. 15515 (x \ y) / T(y / x,T(x,z)) = K(z,K(y,y / x)). [para(5304(a,2),15514(a,2,2))]. 15516 (x \ y) / T(y / x,T(x,z)) = K(y,K(z,x)). [hyper(236,a,9231,a(flip),b,15515,a)]. 15517 (x \ y) / T(y / x,T(x,z)) = K(x,K(y,z)). [hyper(236,a,7923,a(flip),b,15516,a)]. 15519 K(x,L(y,z,u)) * ((y * z) * u) = R(y,z,u) * ((K(x,y) * z) * u). [para(15367(a,1),15504(a,1,2)),flip(a)]. 15520 R(x,y,z) * ((K(u,x) * y) * z) = (K(u,x) * (x * y)) * z. [hyper(236,a,15414,a(flip),b,15519,a(flip))]. 15521 R(x,y,z) * ((K(u,x) * y) * z) = (x * (K(u,x) * y)) * z. [para(5363(a,1),15520(a,2,1))]. 15522 R(x,K(y,x) * z,u) = R(x,z,u). [hyper(18,a,113,a,b,15521,a),flip(a)]. 15523 R(x,T(y,x),z) = R(x,y,z). [para(1596(a,2),15522(a,1,2))]. 15524 R(T(x,y),K(y,x) * z,u) = R(T(x,y),z,u). [para(3950(a,1),15522(a,1,2,1))]. 15531 R(x,y,z) \ ((y * x) * z) = T(y,x) * z. [para(15523(a,1),496(a,1,1))]. 15532 R(x,y,z) = (x * ((y * x) * z)) / (x * (T(y,x) * z)). [para(15531(a,1),1501(a,1,2,2)),flip(a)]. 15533 R(T(x,y),z,(K(y,x) * z) \ K(y,x)) = ((x * z) * L(z \ 1,z,K(y,x))) / K(y,x). [hyper(236,a,5384,a(flip),b,15524,a(flip))]. 15534 K(x,L((y / z) \ u,y / z,z) \ 1) = K(x,T(y / (u * z),y / z)). [hyper(236,a,10056,a(flip),b,15505,a)]. 15535 K(x,T(y / (z * u),y / u)) = K(x,(u * z) \ (u * (y / u))). [hyper(6477,a,15534,a),flip(a)]. 15536 K(x,T(y / (z * (z \ u)),y / (z \ u))) = K(x,T(u,z) \ ((z \ u) * (y / (z \ u)))). [hyper(236,a,13142,a(flip),b,15535,a)]. 15537 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(6020(a,1),15535(a,2,2,1))]. 15538 K(x,L(T(y,z),u,(K(y,x) * u) \ z)) = z \ (u * ((K(y,x) * u) \ z)). [hyper(236,a,10619,a(flip),b,15365,a(flip)),flip(a)]. 15541 K(x,L(y,z,L(u,K(x,y),z))) \ (z * (K(x,T(y,z)) * u)) = z * L(u,K(x,y),z). [para(7256(a,2),15409(a,1,2,2,1))]. 15542 K(x,L((y / (z \ u)) * K(w \ z,w),y,z \ u)) = K(x,y / (((w \ z) * w) \ u)). [para(7547(a,1),15432(a,1,2,1))]. 15543 K(x,L((y / (z \ u)) * K(w,w \ z),y,z \ u)) = K(x,y / ((w * (z / w)) \ u)). [para(7547(a,1),15433(a,1,2,1))]. 15544 K(L(x,y,L(z,K(u,x),y)),u) * (y * (K(u,T(x,y)) * z)) = y * L(z,K(u,x),y). [hyper(5286,a,15541,a)]. 15545 K(x,L(y,z,L(u,K(y,x),z))) * (z * (K(y,T(x,z)) * u)) = z * L(u,K(y,x),z). [para(11533(a,1),15544(a,1,1))]. 15546 (R(x,y,z) * T(u,x)) * K(u * x,x \ R(x,y,z)) = (x * T(u,x)) * R(x \ R(x,y,z),x,T(u,x)). [para(119(a,1),15454(a,1,2,1))]. 15547 T(x * T(y,K(z,u)),K(z,L(u,y,x))) = y * T(x,K(z,u) * y). [para(11982(a,1),15464(a,1,1))]. 15548 T(x * T(y,K(z,u)),K(u,L(z,y,x))) = y * T(x,K(u,z) * y). [para(7981(a,1),15547(a,1,1,2))]. 15549 x \ ((y * T(x,K(z,u))) * K(z,K(u,y * x))) = T(y,K(u,z) * x). [hyper(15187,a,15548,a)]. 15550 x \ ((y * T(x,K(z,u))) * (K(u,T(z,y * x)) * K(z,u))) = T(y,K(u,z) * x). [para(8038(a,2),15549(a,1,2,2))]. 15551 x \ (((y * T(x,K(z,u))) * K(z,u)) * K(u,T(z,y * x))) = T(y,K(u,z) * x). [para(9020(a,2),15550(a,1,2))]. 15552 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(7980(a,2),15551(a,1,2,2,2))]. 15553 ((x \ y) * K(z,u)) * T(x,x \ y) = y * K(z,(x * (u * (x \ y))) / y). [para(14(a,1),15502(a,1,2,2,2)),flip(a)]. 15554 x * K(y,(z * (u * (z \ x))) / x) = z * (K(y,T(u,x)) * (z \ x)). [hyper(236,a,15457,a(flip),b,15553,a(flip))]. 15556 R(T(x,y),z,(K(y,x) * z) \ K(y,x)) = ((x * z) * L(z \ 1,z,K(y,x))) * K(x,y). [hyper(236,a,7547,a(flip),b,15533,a)]. 15557 K(x,T(y / z,y / (u \ z))) = K(x,T(z,u) \ ((u \ z) * (y / (u \ z)))). [para(14(a,1),15536(a,1,2,1,2))]. 15558 ((x * y) * L(y \ 1,y,K(z,x))) * K(x,z) = R(T(x,z),y,y \ 1). [para(14513(a,1),15556(a,1,3)),flip(a)]. 15560 ((x * y) * (y \ 1)) * K(x,z) = R(T(x,z),y,y \ 1). [para(14524(a,1),15558(a,1,1,2))]. 15561 R(x,y,y \ 1) * K(x,z) = R(T(x,z),y,y \ 1). [para(189(a,1),15560(a,1,1))]. 15563 T(R(x,y,y \ 1) / x,T(x,z)) = T(x,z) \ R(T(x,z),y,y \ 1). [hyper(394,a,15561,a(flip),b,6200,a)]. 15564 T(x,y) \ R(T(x,y),z,z \ 1) = T(a(x,z,z \ 1),T(x,y)). [para(3692(a,1),15563(a,1,1)),flip(a)]. 15565 T(x,y) \ R(T(x,y),z,z \ 1) = a(x,z,z \ 1). [hyper(236,a,13885,a(flip),b,15564,a)]. 15566 a(T(x,y),z,z \ 1) = a(x,z,z \ 1). [hyper(690,a,15565,a)]. 15568 a(L(T(x,y),z,u),w,w \ 1) = a(L(x,z,u),w,w \ 1). [para(40(a,2),15566(a,1,1))]. 15569 a(x / y,z,z \ 1) = a(y \ x,z,z \ 1). [para(121(a,1),15566(a,1,1)),flip(a)]. 15571 a(R(x,x \ y,z),u,u \ 1) = a(((x \ y) * z) \ (y * z),u,u \ 1). [para(110(a,2),15569(a,1,1))]. 15572 a(L(x,x \ y,z),u,u \ 1) = a((z * (x \ y)) \ (z * y),u,u \ 1). [para(269(a,1),15568(a,1,1)),flip(a)]. 15573 K(x,T(L((y / z) / u,u,z),w)) = K(x,T(y / (u * z),w)). [hyper(236,a,9124,a(flip),b,15423,a)]. 15574 L(K(x,T((y / z) / u,w)),u,z) = K(x,T(y / (u * z),w)). [hyper(11509,a,15573,a)]. 15575 R(x,y,z) \ T(R(x,y,z) * u,x) = x \ ((u * x) * a(x,u,x)). [para(13803(a,1),15495(a,1,2)),flip(a)]. 15576 R(x,y,z) \ T(R(x,y,z) * u,x) = x \ T(x * u,x). [para(11414(a,1),15575(a,2,2))]. 15578 R(x,y,z) \ ((R(x,y,z) * u) * x) = x * (x \ T(x * u,x)). [para(15576(a,1),1502(a,1,2)),flip(a)]. 15579 R(x,y,z) \ ((R(x,y,z) * u) * x) = T(x * u,x). [hyper(236,a,14,a(flip),b,15578,a)]. 15581 x * K(x * (y \ R(y,z,u)),y) = T(y * (y \ x),y). [hyper(236,a,15029,a(flip),b,15579,a(flip)),flip(a)]. 15583 x * K(x * (y \ R(y,z,u)),y) = T(x,y). [para(14(a,1),15581(a,2,1))]. 15584 K(x,y * (x \ R(x,z,u))) = T(y,x) \ y. [para(15583(a,1),7549(a,1,1)),flip(a)]. 15585 K(x,y * (x \ R(x,z,u))) = K(x,y). [hyper(236,a,4821,a,b,15584,a)]. 15586 T(x,y * (x \ R(x,z,u))) = x * K(x,y). [para(15585(a,1),4887(a,2,2))]. 15587 K(x,R(x,y,z) * (x \ u)) = K(x,u). [hyper(14655,a,15586,a)]. 15588 K(x,R(x,y,z) * u) = K(x,x * u). [para(13(a,1),15587(a,1,2,2))]. 15591 ((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(14787(a,1),15488(a,1,2))]. 15592 (x * K(y,T(z,x))) * R(u,x,K(y,T(z,x))) = K(y,z) * (x * u). [hyper(236,a,14657,a(flip),b,15591,a(flip))]. 15593 (K(x,y) * z) * R(u,z,K(x,T(y,z))) = K(x,y) * (z * u). [para(7281(a,1),15592(a,1,1))]. 15594 R(x,y,K(z,T(u,y))) = L(x,y,K(z,u)). [hyper(436,a,15593,a),flip(a)]. 15596 R(x,y,K(z,u)) = L(x,y,K(z,u)). [hyper(236,a,10684,a(flip),b,15594,a(flip)),flip(a)]. 15597 (K(x,y) * z) * R(u,z,K(x,T(y,z))) != w | K(x,y) * (z * u) = w. [para(15594(a,2),219(a,1,2))]. 15598 L(x,y,K(z,u)) * (K(z,u) * y) = (x * y) * K(z,T(u,y)). [para(15594(a,1),7356(a,1,1))]. 15599 L(R(x,y,z * u),y * (z * u),K(z,u)) = R(x,y,T(z,u) * u). [hyper(11273,a,15596,a),flip(a)]. 15600 L((x * K(y,z)) / u,u,K(z,y)) = x / (u * K(z,y)). [hyper(7580,a,15596,a),flip(a)]. 15601 x * a(x,y,K(z,u)) = R(x,y,K(z,u)). [hyper(236,a,14672,a,b,15596,a),flip(a)]. 15602 L(x / (K(y,z) \ u),K(y,z) \ u,K(y,z)) = (x * T(K(y,z),K(y,z) \ u)) / u. [hyper(236,a,10726,a(flip),b,15596,a(flip))]. 15603 L(x \ (y / K(z,u)),x,K(z,u)) = T(y / (x * K(z,u)),x). [hyper(236,a,632,a(flip),b,15596,a(flip))]. 15604 L(x,y,K(z,u)) * (y * K(z,u)) = (x * y) * K(z,u). [para(15596(a,1),113(a,1,1))]. 15605 L(x,x \ y,K(z,u)) \ (y * K(z,u)) = (x \ y) * K(z,u). [para(15596(a,1),463(a,1,1))]. 15606 L(x,y,K(z,u)) * (y * K(z,u)) != w | (x * y) * K(z,u) = w. [para(15596(a,1),225(a,1,1))]. 15610 ((x / (y * z)) * (y * T(z,u))) * ((y * K(z,u)) \ y) = y * L(y \ x,y * K(z,u),K(u,z)). [para(15596(a,1),15201(a,2,2))]. 15611 R(x,y,K(z,u)) != w | L(x,y,K(z,u)) = w. [para(15601(a,1),14709(a,1))]. 15613 L(x,y \ 1,K(z,u)) * (y \ K(z,u)) = (x * (y \ 1)) * K(z,u). [hyper(14167,a,15604,a)]. 15614 (x * y) * K(z,u) != w * (y * K(z,u)) | L(x,y,K(z,u)) = w. [para(15604(a,1),20(a,1))]. 15615 (a(x,y,y \ 1) * z) * K(u,w) = a(x,y,y \ 1) * (z * K(u,w)). [para(14678(a,1),15604(a,1,1)),flip(a)]. 15616 (x * (K(y,z) * u)) \ ((x * u) * K(y,T(z,u))) = ((K(y,z) * u) * x) \ (K(y,z) * (u * x)). [para(15598(a,1),14599(a,1,2))]. 15617 T(x / (y * K(z,u)),y) = (K(z,u) * y) \ T(x,K(z,u)). [hyper(236,a,8253,a(flip),b,15603,a(flip))]. 15618 L(x,x \ T(y,z),K(u,y)) \ (K(u,y) * T(y,z)) = (x \ T(y,z)) * K(u,y). [para(3145(a,1),15605(a,1,2))]. 15619 L(x,y,K(z,u)) \ (y * K(z,u)) = (x \ y) * K(z,u). [para(14722(a,1),15605(a,1,1))]. 15620 L(x,y,K(z,z \ y)) \ (z * (y / z)) = (x \ y) * K(z,z \ y). [para(5079(a,1),15619(a,1,2))]. 15622 ((K(x,y) * z) \ u) * (z * K(x,y)) != w | ((z \ (K(y,x) * u)) * z) * K(x,y) = w. [para(5276(a,1),15606(a,1,1))]. 15623 R(R(x,y,z) / x,x,T(y,z) * z) = L(a(x,y,z),x * (y * z),K(y,z)). [para(14978(a,2),15599(a,1,1)),flip(a)]. 15624 (x \ y) * K(z,z \ y) = x \ (z * (y / z)). [para(11110(a,1),15620(a,1,1)),flip(a)]. 15625 K(x,L(y,z,a(u,w,w \ 1))) = K(x,y). [hyper(11579,a,15615,a)]. 15628 L(a(x,y,z),x * (y * z),K(y,z)) = a(x,T(y,z),z). [hyper(236,a,14983,a(flip),b,15623,a(flip))]. 15629 a(x,T(y,z),z) != u | a(x,y,z) = u. [para(15628(a,1),14778(a,1))]. 15631 x \ (K(y,z) * T(z,u)) = (x \ T(z,u)) * K(y,z). [para(14723(a,1),15618(a,1,1))]. 15632 L(x / (K(y,z) \ u),K(y,z) \ u,K(y,z)) = (x * T(K(y,z),K(z,y) * u)) / u. [para(5260(a,1),15602(a,2,1,2,2))]. 15633 L(x / (K(y,z) \ u),K(y,z) \ u,K(y,z)) = (x * K(y,T(z,K(z,y) * u))) / u. [para(7256(a,2),15632(a,2,1,2))]. 15634 L(x / (K(y,z) \ u),K(y,z) \ u,K(y,z)) = (x * K(y,T(z,u))) / u. [para(7409(a,1),15633(a,2,1,2,2))]. 15635 L(x / (K(y,z) * u),K(z,y) \ u,K(z,y)) = (x * K(z,T(y,u))) / u. [para(5260(a,1),15634(a,1,1,2))]. 15638 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(7591(a,2),15552(a,1,2,2))]. 15639 ((K(x,y) * z) * L(u,z,K(y,x))) \ (K(x,L(y,z,u)) * (z * u)) = (u * (K(x,L(y,z,u)) * z)) \ ((u * z) * K(x,T(L(y,z,u),z))). [para(15507(a,1),15616(a,2,1)),flip(a)]. 15640 x \ ((K(y,K(L(z,u,x),u * x)) * w) / (((u * x) * K(y,L(z,u,x))) \ w)) = T(K(y,z) * u,x). [para(7886(a,1),15410(a,1,2,1,1))]. 15641 (R(x,y,z) * T(u,x)) * K(u * x,x \ R(x,y,z)) = (u * x) * R(x \ R(x,y,z),x,T(u,x)). [para(119(a,1),15546(a,2,1))]. 15642 (R(x,y,z) * T(u,x)) * K(u * x,x \ R(x,y,z)) = (u * x) * R(x \ R(x,y,z),x,u). [para(10675(a,1),15641(a,2,2))]. 15643 T(x * (a(y,z,u) \ 1),x) = a(y,z,u) \ R(x,a(y,z,u) \ 1,a(y,z,u)). [hyper(14708,a,15342,a)]. 15644 T(x * (a(y,z,u) \ 1),x) = T(x * (1 / a(y,z,u)),a(y,z,u)). [hyper(236,a,2803,a(flip),b,15643,a)]. 15645 T(x * (a(y,z,u) \ 1),a(y,z,u)) = T(x * (a(y,z,u) \ 1),x). [para(12738(a,1),15644(a,2,1,2)),flip(a)]. 15646 T(x * (a(y,z,u) \ 1),x) = L(x * (a(y,z,u) \ 1),z,K(u,y)). [hyper(14749,a,15645,a),flip(a)]. 15647 K(L((x / K(y,L(z,u,w))) / (w * u),w * u,K(y,L(z,u / z,w))),v5) = K(x / (w * (u * K(y,z))),v5). [para(11484(a,1),15422(a,1,1,1,1,2))]. 15648 K(L((x * K(L(y,z,u),w)) / (u * z),u * z,K(w,L(y,z / y,u))),v5) = K(x / (u * (z * K(w,y))),v5). [para(7547(a,1),15647(a,1,1,1,1))]. 15649 K(L((x * K(y,L(z,u,w))) / (w * u),w * u,K(z,L(y,u / y,w))),v5) = K(x / (w * (u * K(z,y))),v5). [para(11533(a,1),15648(a,1,1,1,1,2))]. 15650 ((x * y) / R(z,z \ x,y)) * R(R(z,z \ x,y),u,u \ 1) != w | (R(z,u,u \ 1) * (z \ x)) * y = w. [para(15443(a,2),776(a,1))]. 15651 K(T(x \ y,K(x,z)) / ((u \ 1) * K(x \ z,x)),w) = K(((z / (z / x)) \ y) * u,L(w,u \ 1,K(x \ z,x))). [para(7981(a,1),15450(a,1,1,1))]. 15652 K(T(x \ y,K(x,z)) / (u \ K(x \ z,x)),w) = K(((z / (z / x)) \ y) * u,L(w,u \ 1,K(x \ z,x))). [para(14046(a,1),15651(a,1,1,2))]. 15653 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),15537(a,1,2,1,2))]. 15654 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(u,z) * x). [para(5959(a,2),15638(a,1,2))]. 15655 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z \ u,z) * x). [hyper(236,a,13106,a,b,15654,a)]. 15656 x \ T(y * T(x,K(z,u \ 1)),K(z,u \ 1)) = T(y,(u * T(u \ 1,z)) * x). [para(4830(a,2),15654(a,2,2,1))]. 15657 x \ T(y * T(x,K(z,u)),K(u,z)) = T(y,K(z,u) * x). [para(7981(a,1),15654(a,1,2,1,2))]. 15658 x \ T(y * T(x,K(z,u)),K(z,z \ u)) = T(y,K(z \ u,z) * x). [para(9310(a,1),15654(a,1,2,1,2))]. 15659 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,K(z,u) * x). [para(7981(a,1),15657(a,1,2))]. 15660 (x * y) \ T(z * T(x * y,K(u,u \ x)),K(u \ x,u)) = T(z,(u * (x / u)) * y). [para(11107(a,1),15657(a,2,2))]. 15661 T(x,K(y,z) * u) = T(x,K(z,y) * u). [hyper(236,a,15654,a(flip),b,15659,a(flip))]. 15662 T(x * T(y,K(z,u)),K(z,u)) = y * T(x,K(z,u) * y). [para(15659(a,1),14(a,1,2)),flip(a)]. 15663 (x * y) \ T(z * T(x * y,K(x,u)),K(x,u)) = T(z,T(x,u) * y). [para(4906(a,1),15659(a,2,2))]. 15664 T(x,K(y,z * y) * u) = T(x,K(z,y) * u). [hyper(13181,a,15661,a),flip(a)]. 15665 T(x,K(y,y * z) * u) = T(x,K(z,y) * u). [hyper(13071,a,15661,a),flip(a)]. 15667 x \ T(x,K(y,z) * u) = K(x,K(z,y) * u). [hyper(72,a,15661,a,b,4887,a(flip))]. 15668 T(x,K(y,z) * T(u,K(z,y))) = T(x,u * K(z,y)). [para(119(a,1),15661(a,1,2)),flip(a)]. 15669 T(x,K(y,z) * (z * u)) = T(x,T(z,y) * u). [para(4906(a,1),15661(a,1,2)),flip(a)]. 15670 T(x,K(y,z) * (y \ u)) = T(x,T(y,z) \ u). [para(5204(a,1),15661(a,1,2)),flip(a)]. 15671 T(x,K(y,z) * ((z * y) \ u)) = T(x,(y * z) \ u). [para(11048(a,1),15661(a,1,2)),flip(a)]. 15672 T(x,K(y,z * y) * u) != w | T(x,K(z,y) * u) = w. [para(15661(a,1),13181(a,1))]. 15673 T(x,K(y,z) * (z / u)) = T(x,T(z,y) / u). [para(14465(a,1),15661(a,1,2)),flip(a)]. 15674 T(T(x,K(y,K(z,u))),K(u,z) * y) = T(x,y * K(z,z * u)). [hyper(13166,a,15665,a),flip(a)]. 15675 K(x,K(y,z) * u) = K(x,K(z,y) * u). [hyper(4956,a,15667,a)]. 15676 K(x,K(y,z) * u) != w | K(x,K(z,y) * u) = w. [para(15667(a,1),4956(a,1))]. 15677 K(x,K(y,y \ z) * u) = K(x,K(z,y) * u). [hyper(13176,a,15675,a),flip(a)]. 15678 (x * T(y,K(x,K(z,u) * w))) \ (T(x,K(z,u) * w) * y) = K(x,K(u,z) * w). [hyper(236,a,8726,a,b,15675,a),flip(a)]. 15679 K(x,K(y,z) \ u) = K(x,K(y,z) * u). [para(5260(a,2),15675(a,1,2))]. 15680 K(x,K(y,z) * (y \ u)) = K(x,T(y,z) \ u). [para(5204(a,1),15675(a,1,2)),flip(a)]. 15681 K(x,K(y,z \ u) * (u / z)) = K(x,T(u / z,T(y,z))). [para(7372(a,1),15675(a,1,2)),flip(a)]. 15682 K(x,K(y \ (z * u),u * z) * w) = K(x,K(u * z,y \ (u * z)) * w). [para(10143(a,1),15675(a,1,2,1)),flip(a)]. 15683 K(x,K(y,y \ z) * u) != w | K(x,K(z,y) * u) = w. [para(15675(a,1),13176(a,1))]. 15684 K(x,K(y,z) * (z / u)) = K(x,T(z,y) / u). [para(14465(a,1),15675(a,1,2)),flip(a)]. 15685 K(x,K(y,z) \ u) = K(x,K(z,y) \ u). [para(5260(a,2),15679(a,2,2))]. 15686 K(x,K(y,y \ z) \ u) = K(x,K(z,y) \ u). [hyper(236,a,13140,a(flip),b,15685,a)]. 15687 T(x,((y * z) / y) * u) = T(x,T(z,y) * u). [para(5523(a,1),15669(a,1,2))]. 15688 T(x,T(y \ z,y) \ u) = T(x,(z / y) \ u). [para(5507(a,1),15670(a,1,2)),flip(a)]. 15689 L(x,y,((K(z,u) * (z \ w)) \ v5) * (K(z,u) * (z \ w))) = L(x,y,T(v5,T(z,u) \ w)). [para(15670(a,1),13510(a,2,3))]. 15690 K(x,K(y,z) * (z \ u)) = K(x,T(z,y) \ u). [hyper(236,a,15675,a,b,15680,a(flip)),flip(a)]. 15691 K(x,((y * z) / y) \ u) = K(x,T(z,y) \ u). [para(5179(a,2),15680(a,1,2))]. 15692 K(x,T(y \ z,y) \ u) = K(x,(z / y) \ u). [para(5507(a,1),15680(a,1,2)),flip(a)]. 15694 T(x,T(T(y,z),z) * u) = T(x,y * u). [para(163(a,1),15687(a,1,2,1)),flip(a)]. 15695 T(x,((y * K(z * y,z \ 1)) / (z * y)) * u) = T(x,T(R(1 / z,z,y),z * y) * u). [para(5942(a,1),15687(a,1,2,1,1))]. 15696 T(T(x,K(y,z)),z * y) = T(x,y * T(T(z,u),u)). [hyper(13165,a,15694,a),flip(a)]. 15697 K(x,T(y,T(z \ u,z) \ w)) = K(x,T(y,w \ (u / z))). [para(15688(a,2),9348(a,1,2))]. 15698 K(x,T(y,z) \ T(u,(z * y) / z)) = K(x,u / ((z * y) / z)). [hyper(13148,a,15691,a),flip(a)]. 15699 K(x,(L(y,z,y) * z) \ u) = K(x,T(z * y,y) \ u). [para(4233(a,1),15691(a,1,2,1))]. 15700 K(x,T(y \ z,z) \ u) = K(x,(z / y) \ u). [hyper(13209,a,15692,a)]. 15701 K(x,K(y,z) * ((u * w) \ u)) != v5 | K(x,K(z,y) * L(w \ 1,w,u)) = v5. [para(348(a,1),15676(a,1,2))]. 15702 T(x,y * K(z,u)) = T(x,y * K(u,z)). [para(7990(a,1),15668(a,1,2))]. 15703 x / T(x,y * K(z,u)) = K(y * K(u,z),x). [para(15702(a,1),4826(a,2,2)),flip(a)]. 15704 T(x,(y / z) * K(z,u)) = T(x,y / T(z,u)). [para(7555(a,1),15702(a,1,2)),flip(a)]. 15705 K(x * K(y,z),u) = K(x * K(z,y),u). [hyper(4928,a,15703,a)]. 15706 K(x * K(y,z),u) != w | K(x * K(z,y),u) = w. [para(15703(a,1),4928(a,1))]. 15707 K((x / y) * K(y,z),u) = K(x / T(y,z),u). [para(7555(a,1),15705(a,1,1)),flip(a)]. 15708 K((x \ y) * K(z,y),u) = K(x \ T(y,z),u). [para(14432(a,1),15705(a,1,1)),flip(a)]. 15709 T(x,(y / z) * K(z,y)) = T(x,z \ y). [hyper(236,a,12997,a(flip),b,15704,a)]. 15710 T(x,y / ((z * u) / z)) = T(x,y / T(u,z)). [para(6359(a,2),15704(a,1,2))]. 15712 T(x,(y * K(z,y)) / z) = T(x,z \ y). [para(6223(a,2),15709(a,1,2))]. 15713 T(x,y \ T(z,y)) = T(x,z / y). [para(4901(a,1),15712(a,1,2,1)),flip(a)]. 15714 T(x,T(y * z,z) \ T(u,z * y)) = T(x,u / T(y * z,z)). [para(13107(a,1),15713(a,1,2,2))]. 15715 K(x / T(y \ z,y),u) = K(x / (z / y),u). [para(6360(a,1),15707(a,1,1)),flip(a)]. 15716 K(x \ T(y,z),x) = K(x \ y,T(x,z)). [hyper(14268,a,15708,a),flip(a)]. 15717 K(x \ (y * K(z,y)),u) = K(x \ T(y,z),u). [para(14225(a,2),15708(a,1,1))]. 15718 K(x \ T(y,z),x) != u | K(x \ y,T(x,z)) = u. [para(15708(a,1),14268(a,1))]. 15719 x / (y * T(y \ x,(x / y) \ T(z,u))) = K((x / y) \ z,T(x / y,u)). [hyper(236,a,5419,a,b,15716,a(flip)),flip(a)]. 15720 K(x \ (y * T(z,u)),y \ x) = K((y \ x) \ z,T(y \ x,u)). [hyper(236,a,10652,a(flip),b,15716,a(flip)),flip(a)]. 15721 K(x,K((y * x) \ T(z,u),y)) \ K((y * x) \ z,T(y * x,u)) = K((y * x) \ T(z,u),x * y). [hyper(72,a,15716,a(flip),b,13236,a)]. 15722 K(R(x / y,y,x \ z) \ T(z,u),R(x / y,y,x \ z)) = K(y * (x \ z),T(R(x / y,y,x \ z),u)). [para(489(a,1),15716(a,2,1))]. 15724 T(x,y / (((z \ u) \ u) \ u)) = T(x,y / ((z * (z \ u)) / z)). [para(4108(a,1),15710(a,2,2,2)),flip(a)]. 15726 K(x / (((y \ z) \ z) \ z),u) = K(x / (z / y),u). [para(4108(a,1),15715(a,1,1,2))]. 15727 K(x \ T(T(y,z),z),u) = K(x \ y,u). [para(4901(a,1),15717(a,1,1,2)),flip(a)]. 15728 K(x,y \ T(T(z,u),u)) = 1 / K(y \ z,x). [para(15727(a,1),5102(a,1,2)),flip(a)]. 15729 K(x,y \ T(T(z,u),u)) = K(x,y \ z). [hyper(236,a,5102,a(flip),b,15728,a)]. 15731 K(x,y \ T(z * (u / T(z,u)),z)) = K(x,y \ (z * (u / z))). [para(4144(a,1),15729(a,1,2,2,1))]. 15732 K(x,y \ (z * K(u,z))) = K(x,y \ T(z,u)). [para(4853(a,1),15729(a,1,2,2,1)),flip(a)]. 15735 K(x,(y \ z) \ K(u,y)) = K(x,z \ T(y,u)). [hyper(6614,a,15732,a)]. 15736 K(x,(y \ z) \ K(u \ 1,y)) = K(x,z \ T(y,1 / u)). [para(3019(a,2),15735(a,2,2,2))]. 15737 K((x * y) \ T(z,u),y * x) != w | K((y * x) \ z,T(y * x,u)) = w. [para(6633(a,2),15718(a,1))]. 15738 T(x,(T(y,z) * z) \ u) = T(x,(z * y) \ u). [para(11148(a,1),15671(a,1,2))]. 15739 T(x,y * T(T(z,u),u)) = T(x,y * z). [hyper(13095,a,15696,a),flip(a)]. 15740 T(x,y * ((z * u) / z)) = T(x,y * T(u,z)). [para(162(a,1),15739(a,1,2,2,1)),flip(a)]. 15741 T(x,y * T(z,z \ u)) = T(x,y * (u / (u / z))). [para(4202(a,1),15739(a,1,2,2,1))]. 15742 T(x,y * ((z * u) / z)) = x * K(x,y * T(u,z)). [hyper(236,a,4887,a(flip),b,15740,a)]. 15743 K(x * ((y * z) / y),u) = u / T(u,x * T(z,y)). [para(15740(a,1),4826(a,2,2))]. 15744 K(x / T(y \ z,z),u) = K(x / (z / y),u). [hyper(236,a,13390,a(flip),b,15726,a(flip)),flip(a)]. 15745 K(x / (y / (y / z)),u) = K(x / T(z,y),u). [para(65(a,1),15744(a,1,1,2,1)),flip(a)]. 15746 K(x \ (K(y,y \ z) * (y \ 1)),u) = K((x \ 1) / T(y,z),u). [hyper(236,a,14259,a,b,15745,a(flip)),flip(a)]. 15748 T(x,y * (z / (z / u))) = T(x,y * T(u,z)). [hyper(236,a,13010,a(flip),b,15741,a(flip))]. 15749 T(x,y * T(z \ u,u)) = T(x,y * (u / z)). [para(62(a,1),15748(a,1,2,2,2)),flip(a)]. 15750 K(x,y * ((z * u) / z)) = K(x,y * T(u,z)). [hyper(4954,a,15742,a)]. 15751 K(x,y * T(z \ u,z)) = K(x,y * (u / z)). [para(14(a,1),15750(a,1,2,2,1)),flip(a)]. 15752 K(x,(y / (z * u)) * T(u,z)) = K(x,(y / (u * z)) * u). [para(10462(a,1),15750(a,1,2)),flip(a)]. 15753 K(x,y * (T(z,u) \ u)) = K(x,y * (u / z)). [hyper(236,a,13213,a(flip),b,15751,a(flip)),flip(a)]. 15754 K(x,y * (z / (z / u))) = K(x,y * ((u \ z) \ z)). [para(4168(a,1),15751(a,1,2,2)),flip(a)]. 15755 K(x,y * T(((z \ u) \ u) \ w,T(z,u))) = K(x,y * (w / ((z \ u) \ u))). [para(8330(a,1),15751(a,1,2,2))]. 15756 K(x,y * (z \ T(u,z))) = K(x,y * (u / z)). [para(4117(a,1),15753(a,1,2,2))]. 15757 K(x,y * (T(z,u \ w) \ T(w / u,w))) = K(x,y * (T(w / u,w) / z)). [para(8308(a,1),15753(a,1,2,2,1))]. 15758 K(x * ((y * z) / y),u) = K(x * T(z,y),u). [hyper(236,a,4826,a,b,15743,a)]. 15759 K((x \ y) * ((z * ((x \ y) \ (x \ u))) / z),w) = K(x \ (y * T(y \ u,z)),w). [para(1338(a,1),15758(a,2,1))]. 15760 K(x * L(y * K(z,y),u,w),v5) = K(x * T(L(y,u,w),z),v5). [para(5038(a,2),15758(a,1,1,2))]. 15761 K(x,y * (z / (z / u))) = K(x,y * T(u,z)). [hyper(236,a,13053,a(flip),b,15754,a)]. 15762 K(x,y * T(z \ u,u)) = K(x,y * (u / z)). [para(62(a,1),15761(a,1,2,2,2)),flip(a)]. 15763 K(x,y * T((z \ 1) * u,L(u,z \ 1,z))) = K(x,y * (L(u,z \ 1,z) / z)). [para(396(a,1),15761(a,1,2,2,2)),flip(a)]. 15764 K(x,T(y * z,z) \ u) = K(x,(z * y) \ u). [hyper(236,a,13187,a(flip),b,15699,a(flip))]. 15766 K(x,(y * (z / y)) \ u) = K(x,T(z,y) \ u). [para(16(a,1),15764(a,1,2,1,1)),flip(a)]. 15767 K(x,(y * ((y * z) / y)) \ u) = K(x,(z * y) \ u). [hyper(236,a,13100,a(flip),b,15766,a)]. 15768 K(x,(T(y,z) * z) \ u) = K(x,(z * y) \ u). [para(163(a,1),15767(a,1,2,1,2)),flip(a)]. 15769 K(x,(T(y,T(z * u,z)) * (u * z)) \ w) = K(x,(T(z * u,z) * y) \ w). [hyper(236,a,13186,a(flip),b,15768,a(flip)),flip(a)]. 15770 (T(x,y) * y) * (z / (T(x,y) * y)) = z * K(y * x,(y * x) \ z). [para(15768(a,1),13418(a,2,2))]. 15771 x \ T(y * T(x,K(z,u)),K(z,u)) != w | T(y,K(z,u) * x) = w. [para(15662(a,2),283(a,1,2)),flip(b)]. 15772 T(x,y * K(z,z * u)) = T(x,y * K(u,z)). [hyper(13164,a,15674,a),flip(a)]. 15773 K(x,T(y,z) \ T(u,T(y,z))) = K(x,u / ((z * y) / z)). [para(8152(a,1),15698(a,1,2,2))]. 15775 K(x,y / ((z * u) / z)) != w | K(x,y / T(u,z)) = w. [para(15773(a,1),13148(a,1))]. 15776 K(x \ (y * T(z,u)),y \ x) = K(x \ (y * z),T(y \ x,u)). [hyper(236,a,10917,a(flip),b,15720,a)]. 15777 K(x \ (K(y,z) * (u * ((u * y) / u))),u \ x) = K((u \ x) \ (y * K(u,y)),T(u \ x,z)). [para(9487(a,2),15720(a,1,1,2))]. 15778 K(x \ (y * T(z,u)),y \ x) != w | K(x \ (y * z),T(y \ x,u)) = w. [para(15720(a,2),10918(a,1))]. 15779 T(x,y / (((z \ u) \ u) \ u)) = T(x,y / (u / z)). [para(14(a,1),15724(a,2,2,2,1))]. 15780 T(x,y / T(z \ u,u)) = T(x,y / (u / z)). [hyper(236,a,13044,a(flip),b,15779,a(flip)),flip(a)]. 15781 T(K(x,L(y / T(z \ u,u),w,v5)),L(x \ 1,w,v5) \ 1) = (L(x \ 1,w,v5) \ 1) \ T(L(x \ 1,w,v5) \ 1,y / (u / z)). [hyper(394,a,15780,a(flip),b,11685,a)]. 15782 K(x,y \ ((z / T(u,z)) * u)) = K(x,y \ (u * (z / u))). [hyper(236,a,13092,a(flip),b,15731,a(flip)),flip(a)]. 15783 K(x,y \ (z * (u / z))) = K(x,y \ T(u,z)). [para(4113(a,1),15782(a,1,2,2)),flip(a)]. 15784 K(x,L(((y / z) \ u) \ 1,z \ y,z)) = K(x,(z * u) \ T(y,z)). [hyper(236,a,11725,a,b,15783,a(flip)),flip(a)]. 15785 K(x,y \ T(z * u,z)) = K(x,y \ (T(z,u) * u)). [para(3875(a,2),15783(a,1,2,2)),flip(a)]. 15786 K(x,y \ (T(z,u) * u)) = K(x,y \ (u * z)). [hyper(236,a,13092,a(flip),b,15785,a(flip))]. 15787 K(x \ (T(y,z) * z),u) = w / (K(u,x \ (z * y)) * w). [para(15786(a,1),5266(a,1,2,1)),flip(a)]. 15788 K(x \ (T(y,z) * z),u) != w | K(x \ (z * y),u) = w. [para(15787(a,2),5272(a,1))]. 15789 K(x \ (K(y,y \ z) * (y \ 1)),u) = K(x \ (T(y,z) \ 1),u). [hyper(236,a,14175,a(flip),b,15746,a)]. 15790 K(x * L(y * K(z,y),u,w),v5) = K(x * L(T(y,z),u,w),v5). [para(40(a,2),15760(a,2,1,2))]. 15791 K(x,K(x \ (y * T(z,u)),y)) \ K(x \ (y * z),T(y \ x,u)) = K(x \ (y * T(z,u)),x / y). [hyper(72,a,15776,a(flip),b,9409,a)]. 15792 K(x \ ((y / (y / z)) \ 1),u) = K(x \ (T(z,y) \ 1),u). [para(5509(a,2),15789(a,1,1,2))]. 15793 K((x \ y) \ (T(x,z) \ 1),u) = K(y \ K(x,x \ z),u). [hyper(14936,a,15792,a),flip(a)]. 15794 K(x \ K(y,y \ z),u) = K(x \ K(z,y),u). [hyper(14631,a,15793,a),flip(a)]. 15796 K((x / (y / (y / z))) * z,u) = K((x \ 1) \ K(y,z),u). [hyper(236,a,14119,a(flip),b,15794,a(flip)),flip(a)]. 15797 K((x / (y / (y / z))) * z,u) = K(x * K(y,z),u). [hyper(236,a,14050,a(flip),b,15796,a)]. 15798 K(x * K(y,y \ z),u) = K(x * K(z,y),u). [para(6444(a,1),15797(a,1,1))]. 15799 T(x,K(y,z) * u) != w | T(x,K(z,y) * u) = w. [para(15654(a,1),15771(a,1))]. 15800 T(x,(y \ z) \ u) != w | T(x,K(y \ z,y) * ((z / y) \ u)) = w. [para(5757(a,1),15799(a,1,2))]. 15801 x \ T(y * T(x,K(z,u)),K(z,u)) != w | T(y,K(u,z) * x) = w. [para(15659(a,2),15799(a,1))]. 15802 T(x,K(y,z * y) * u) != w | T(x,K(y,z) * u) = w. [para(15664(a,2),15799(a,1))]. 15803 T(x,K(y * z,z) * u) != w | T(x,K(z,y) * u) = w. [para(15661(a,1),15802(a,1))]. 15804 K(x,L(y \ (z / u),u \ z,u)) = K(x,(u * y) \ T(z,u)). [hyper(11601,a,15784,a)]. 15805 K(x,L(y \ (z / u),z,u)) = K(x,(u * y) \ T(z,u)). [hyper(14594,a,15804,a)]. 15806 K(x,y / (T(z,y / u) * u)) = K(x,(u * z) \ T(y,u)). [hyper(236,a,15463,a,b,15805,a(flip)),flip(a)]. 15807 K(x,L((y \ z) \ (u / K(w \ y,w)),u,K(w \ y,w))) = K(x,((w * (y / w)) \ z) \ T(u,K(w \ y,w))). [para(11131(a,1),15805(a,2,2,1))]. 15808 T(x,K(y \ z,y) * u) != w | T(x,K(z,y) * u) = w. [para(15655(a,1),15801(a,1))]. 15809 T(x,K(y,y \ z) * u) != w | T(x,K(z,y) * u) = w. [para(15661(a,1),15808(a,1))]. 15810 (x \ y) \ T(z * T(x \ y,K(u,x)),K(u,u \ x)) = T(z,(u * (x / u)) \ y). [para(11131(a,1),15658(a,2,2))]. 15811 (T(x,y) * y) * (z / (T(x,y) * y)) != u | (y * x) * (z / (y * x)) = u. [para(15770(a,2),5323(a,1))]. 15812 x / (y * T(y \ x,(x / y) \ T(z,u))) = K((y \ x) \ z,T(x / y,u)). [hyper(236,a,7870,a(flip),b,15719,a)]. 15813 K(x,y * (T(z,u \ w) \ (u \ w))) = K(x,y * (T(w / u,w) / z)). [hyper(236,a,13162,a(flip),b,15757,a(flip)),flip(a)]. 15814 K(x,y * (T(z / u,z) / w)) = K(x,y * ((u \ z) / w)). [hyper(236,a,15753,a(flip),b,15813,a(flip))]. 15815 K(x,(T(y,z * u) * (z * u)) \ w) = K(x,(T(u * z,u) * y) \ w). [para(12988(a,1),15769(a,1,2,1,1))]. 15816 K(x,(T(y * z,y) * u) \ w) = K(x,((z * y) * u) \ w). [hyper(236,a,15768,a(flip),b,15815,a(flip))]. 15817 K(x,(((y \ z) * y) * u) \ w) = K(x,(T(z,y) * u) \ w). [para(14(a,1),15816(a,1,2,1,1,1)),flip(a)]. 15818 K(x,T(y \ (z * u),y / u) \ 1) = K(x,(T(z,y / u) * u) \ y). [hyper(6462,a,15817,a)]. 15819 K(x,T((y \ (z * u)) \ 1,y / u)) = K(x,(T(z,y / u) * u) \ y). [hyper(7818,a,15818,a)]. 15820 x / (y * T(y \ x,x \ (y * T(z,u)))) = K((y \ x) \ z,T(x / y,u)). [para(10762(a,1),15812(a,1,2,2))]. 15821 K((x \ y) \ z,T(y / x,u)) != w | K(y \ (x * T(z,u)),y / x) = w. [para(15820(a,1),5420(a,1))]. 15822 x \ T(y * T(x,K(z,u)),K(z,u \ 1)) = T(y,(u * T(u \ 1,z)) * x). [para(9291(a,1),15656(a,1,2,1,2))]. 15823 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,(u * T(u \ 1,z)) * x). [para(9291(a,1),15822(a,1,2))]. 15824 T(x,(y * T(y \ 1,z)) * u) = T(x,K(y,z) * u). [hyper(15801,a,15823,a),flip(a)]. 15825 T(x,K(y \ 1,z) * u) = T(x,K(y,z) * u). [para(4830(a,1),15824(a,1,2,1))]. 15826 K(x,K(y \ 1,z) * u) = x \ T(x,K(y,z) * u). [hyper(72,a,15825,a(flip),b,4887,a(flip)),flip(a)]. 15827 T(x,K(y,z) * T(u,K(z,y \ 1))) = T(x,u * K(y \ 1,z)). [para(7990(a,1),15825(a,1,2)),flip(a)]. 15828 K(x,K(y \ 1,z) * u) = K(x,K(y,z) * u). [hyper(236,a,4829,a,b,15826,a)]. 15829 K(x,K(y \ 1,z) * u) != w | K(x,K(y,z) * u) = w. [para(15826(a,2),4956(a,1))]. 15830 K(x,K(y,z \ 1) * u) = K(x,K(z,y) * u). [hyper(15676,a,15828,a)]. 15831 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(z,y \ K(y,u)) * u) \ w). [para(15828(a,1),6634(a,1,1))]. 15832 K(x,K(y \ z,u) * w) = K(x,K(u,z \ y) * w). [para(6408(a,1),15830(a,1,2,1)),flip(a)]. 15833 L(K(x,K(y,z) * (u \ w)),u \ w,u) = K(x,(K(y \ K(y,u),z) * u) \ w). [para(15830(a,1),6635(a,1,1))]. 15834 K(x,K(y,z) * T(u,K(z,y))) = K(x,u * K(z,y \ 1)). [para(9296(a,1),15830(a,1,2)),flip(a)]. 15835 K(x,K(y,z \ 1) * u) != w | K(x,K(y,z) * u) = w. [para(15830(a,2),15676(a,1))]. 15836 K(x,K(y,z \ y) * u) = K(x,K(z,y) * u). [hyper(13176,a,15832,a),flip(a)]. 15837 K(x,T(y,z \ y) \ u) = K(x,K(z,y) * (y \ u)). [hyper(236,a,15680,a(flip),b,15836,a(flip)),flip(a)]. 15838 K(x,T(y / z,T(u \ (z \ y),z))) = K(x,K(u,z \ y) * (y / z)). [para(7372(a,1),15836(a,1,2))]. 15839 K(x,K(y,z \ y) * u) != w | K(x,K(y,z) * u) = w. [para(15836(a,2),15676(a,1))]. 15840 K(x,T(y,z \ y) \ u) = K(x,T(y,z) \ u). [hyper(236,a,15690,a(flip),b,15837,a)]. 15841 K(x,K(y \ z,z) * u) != w | K(x,K(z,y) * u) = w. [para(15675(a,1),15839(a,1))]. 15842 K(x,K(y \ (z * u),u * z) * w) != v5 | K(x,K(u * z,y) * w) = v5. [para(15682(a,2),15839(a,1))]. 15843 K(x,y * K(z,u \ 1)) = K(x,y * K(u,z)). [para(7990(a,1),15834(a,1,2)),flip(a)]. 15844 K(x * K(y,z \ 1),u) = 1 / K(u,x * K(z,y)). [para(15843(a,1),5102(a,1,2)),flip(a)]. 15845 K(x * K(y,z \ 1),u) = K(x * K(z,y),u). [hyper(236,a,5102,a(flip),b,15844,a)]. 15847 K(x * K(y \ 1,z),u) = K(x * K(y,z),u). [hyper(15706,a,15845,a)]. 15851 T(x,K(y,z) * T(u,K(y,z))) = T(x,u * K(y \ 1,z)). [para(9290(a,1),15827(a,1,2,2))]. 15852 T(x,y * K(z \ 1,u)) = T(x,y * K(z,u)). [para(119(a,1),15851(a,1,2)),flip(a)]. 15856 K(x,T(y / z,T(u \ (z \ y),z))) = K(x,T(y / z,T(u,z))). [hyper(236,a,15681,a(flip),b,15838,a)]. 15857 K(x,T(y / z,y / (z * u))) = K(x,T(y / z,T(u,z))). [para(10240(a,1),15856(a,1,2))]. 15858 K(x,(y * K(y * z,z \ 1)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(236,a,15653,a(flip),b,15857,a(flip)),flip(a)]. 15859 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(6048(a,1),15857(a,1,2,2,2)),flip(a)]. 15867 K(x,(K(y,z \ K(z,u)) * u) \ w) = K(x,(u * K(y,z)) \ w). [hyper(9930,a,15831,a),flip(a)]. 15868 K(x,(y * K(z,u \ 1)) \ w) = K(x,(y * K(z,u)) \ w). [para(6049(a,1),15867(a,1,2,1))]. 15869 K(x,(K(y \ K(y,z),u) * z) \ w) = K(x,(z * K(u,y)) \ w). [hyper(9930,a,15833,a),flip(a)]. 15870 K(x,(y * K(z \ 1,u)) \ w) = K(x,(y * K(u,z)) \ w). [para(6548(a,1),15869(a,1,2,1))]. 15871 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(7929(a,1),15870(a,2,2))]. 15872 K(x \ (y * ((z * (y \ u)) / z)),w) = K(x \ (y * T(y \ u,z)),w). [para(1651(a,1),15759(a,1,1))]. 15873 K(x \ (y * T(y \ 1,z)),u) = K(x \ K(z,y \ 1),u). [para(4876(a,1),15872(a,1,1,2)),flip(a)]. 15874 K(x \ K(y \ 1,z),u) = K(x \ K(z,y \ 1),u). [para(4830(a,1),15873(a,1,1,2))]. 15875 (x \ K(y \ K(z,u \ 1),w)) \ (x \ 1) = K(w,y \ K(u \ 1,z)). [para(15874(a,1),14101(a,1,1,2))]. 15876 K(x,y \ K(z \ 1,u)) = K(x,y \ K(u,z \ 1)). [hyper(14103,a,15875,a),flip(a)]. 15877 (x \ y) \ T(z * T(x \ y,K(x,u)),K(u,u \ x)) = T(z,(u * (x / u)) \ y). [para(7981(a,1),15810(a,1,2,1,2))]. 15878 (x \ y) \ T(z * T(x \ y,K(x,u)),K(x,u)) = T(z,(u * (x / u)) \ y). [para(9315(a,1),15877(a,1,2))]. 15879 T(x,(y * (z / y)) \ u) = T(x,K(y,z) * (z \ u)). [hyper(15801,a,15878,a),flip(a)]. 15880 T(x,(y * (z / y)) \ u) = T(x,T(z,y) \ u). [para(5204(a,1),15879(a,2,2))]. 15881 T(x,T(y * z,z) \ u) = T(x,(z * y) \ u). [para(15(a,1),15880(a,1,2,1,2)),flip(a)]. 15882 T(x,(y * z) \ T(u,y * z)) = T(x,u / T(z * y,y)). [hyper(236,a,15714,a(flip),b,15881,a(flip))]. 15883 T(x,y / T(z * u,u)) = T(x,y / (u * z)). [hyper(236,a,15713,a(flip),b,15882,a(flip))]. 15884 T(x,y / (z * (u / z))) = T(x,y / T(u,z)). [para(16(a,1),15883(a,1,2,2,1)),flip(a)]. 15885 T(x,y / T(z * u,z)) = T(x,y / (T(z,u) * u)). [hyper(236,a,15473,a,b,15884,a(flip))]. 15886 (x * y) \ T(z * T(x * y,K(x,u)),K(u \ x,u)) = T(z,(u * (x / u)) * y). [para(9315(a,1),15660(a,1,2,1,2))]. 15887 (x * y) \ T(z * T(x * y,K(x,u)),K(x,u)) = T(z,(u * (x / u)) * y). [para(9313(a,1),15886(a,1,2))]. 15888 T(x,(y * (z / y)) * u) = T(x,T(z,y) * u). [hyper(236,a,15663,a(flip),b,15887,a(flip))]. 15889 K((x * (y / x)) * z,u) = u / T(u,T(y,x) * z). [para(15888(a,1),4826(a,2,2))]. 15890 K((x * (y / x)) * z,u) = K(T(y,x) * z,u). [hyper(236,a,4826,a,b,15889,a)]. 15891 K(T(x * y,y) * z,u) = K((y * x) * z,u). [para(15(a,1),15890(a,1,1,1,2)),flip(a)]. 15892 K(T((x \ y) * z,y \ x) * u,w) = K((z * (x \ y)) * u,w). [hyper(236,a,13435,a,b,15891,a(flip)),flip(a)]. 15893 K(x,(y * K(y * z,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(236,a,15868,a(flip),b,15858,a(flip)),flip(a)]. 15894 K(x,(y * K(y,z)) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [hyper(236,a,13185,a(flip),b,15893,a(flip)),flip(a)]. 15895 K(x,T(y,z) \ ((y * z) * (u / (y * z)))) = K(x,T(u / y,T(z,y))). [para(4887(a,2),15894(a,1,2,1))]. 15896 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(4104(a,1),15895(a,1,2,1))]. 15897 K(x,T(y,z) \ ((z * y) * (u / (y * T(z,y))))) = K(x,T(u / y,T(T(z,y),y))). [para(119(a,1),15896(a,1,2,2,1))]. 15898 K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,T(T(z,y),y))). [para(119(a,1),15897(a,1,2,2,2,2))]. 15899 K(x,T(y,z) \ ((z * y) * (u / (z * y)))) = K(x,T(u / y,z)). [para(8147(a,1),15898(a,2,2))]. 15900 K(x,T(y,z) \ T(u,z * y)) = K(x,T(u / y,z)). [hyper(236,a,15783,a(flip),b,15899,a(flip)),flip(a)]. 15902 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(7105(a,1),15900(a,1,2,2,2))]. 15903 T(x,((y / (z * y)) * K(z * y,z \ 1)) * u) = T(x,T(R(1 / z,z,y),z * y) * u). [para(6223(a,1),15695(a,1,2,1))]. 15904 K(x \ (K(y,z) * (u * ((u * y) / u))),u \ x) = K((u \ x) \ T(y,u),T(u \ x,z)). [hyper(236,a,15717,a(flip),b,15777,a)]. 15905 K(x \ (K(y,z) * (u * ((u * y) / u))),u \ x) = K((u \ x) \ y,T(T(u \ x,u),z)). [hyper(236,a,11203,a(flip),b,15904,a)]. 15906 K(x \ (K(y,z) * (u * ((u * y) / u))),u \ x) = K((u \ x) \ y,T(x / u,z)). [hyper(236,a,8645,a(flip),b,15905,a)]. 15907 K(x \ (y * T(z * K(y,z),u)),y \ x) = K((y \ x) \ z,T(x / y,u)). [para(9487(a,1),15906(a,1,1,2))]. 15908 K(x \ (y * (z * K(y,z))),T(y \ x,u)) = K((y \ x) \ z,T(x / y,u)). [hyper(15778,a,15907,a)]. 15909 K(x \ (T(y,z) * z),T(y \ x,u)) = K((y \ x) \ z,T(x / y,u)). [para(4924(a,1),15908(a,1,1,2))]. 15910 K((x \ y) \ z,T(y / x,u)) = K(y \ (z * x),T(x \ y,u)). [hyper(15788,a,15909,a),flip(a)]. 15911 K(x \ (y * T(z,u)),x / y) = K(x \ (z * y),T(y \ x,u)). [hyper(15821,a,15910,a)]. 15912 K(x,T(y / z,T(T(z \ (u \ z),T(u,w)),z))) = K(x,T(y / z,y / (u \ z))). [para(10263(a,1),15859(a,2,2))]. 15913 K(x,T(y / z,T((u \ z) / z,T(u,w)))) = K(x,T(y / z,y / (u \ z))). [para(8153(a,1),15912(a,1,2))]. 15914 K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u \ 1)). [para(9827(a,1),15913(a,1,2)),flip(a)]. 15915 K(x,T(y / z,y / (u \ z))) = K(x,T(y / z,u)). [hyper(236,a,9343,a(flip),b,15914,a)]. 15918 K(x,T(y,z) \ ((z \ y) * (u / (z \ y)))) = K(x,T(u / y,z)). [hyper(236,a,15557,a(flip),b,15915,a(flip)),flip(a)]. 15919 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(4142(a,1),15918(a,1,2,2,1))]. 15920 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(7470(a,1),15871(a,1,2,2,2))]. 15922 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(7923(a,2),15920(a,1,2,2))]. 15923 K(x,(L(K(y,z),u,K(y,z)) * u) \ 1) = K(x,(K(z \ 1,y) * u) \ 1). [para(9263(a,1),15922(a,1,2)),flip(a)]. 15924 K(x,(L(K(y,z),u,K(y,z)) * u) \ 1) = K(x,u \ K(y,z \ 1)). [hyper(236,a,6410,a(flip),b,15923,a)]. 15925 K(x,(K(y,z) * u) \ 1) = K(x,u \ K(y,z \ 1)). [hyper(236,a,13187,a(flip),b,15924,a(flip)),flip(a)]. 15926 K(x,y \ K(z,u \ 1)) = K(x,y \ K(u,z)). [hyper(6479,a,15925,a),flip(a)]. 15931 K(x,y \ K(z \ 1,u)) = K(x,y \ K(z,u)). [hyper(236,a,15876,a,b,15926,a(flip)),flip(a)]. 15932 K(x,(y \ z) \ K(u,y)) = K(x,z \ T(y,1 / u)). [hyper(236,a,15736,a(flip),b,15931,a(flip))]. 15933 K(x,y \ T(z,1 / u)) = K(x,y \ T(z,u)). [hyper(236,a,15735,a(flip),b,15932,a(flip))]. 15934 K(x,y \ T(z,u \ 1)) = K(x,y \ T(z,u)). [para(62(a,1),15933(a,1,2,2,2)),flip(a)]. 15935 K(x,y \ T(z,u \ (w \ u))) = K(x,y \ T(z,T(w,u))). [para(8609(a,1),15934(a,1,2,2))]. 15936 K(x,K(y,y * T(z,u))) \ K(x \ (y * z),T(y \ x,u)) = K(x \ (y * T(z,u)),x / y). [para(9205(a,1),15791(a,1,1))]. 15937 K(x,K(y,T(z,u))) \ K(x \ (y * z),T(y \ x,u)) = K(x \ (y * T(z,u)),x / y). [para(9204(a,1),15936(a,1,1))]. 15938 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(8864(a,1),15919(a,1,2,1))]. 15939 K(x,T(y,z \ y) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). [para(4142(a,1),15938(a,1,2,2,2,2))]. 15941 K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,T(y,z) / z)). [hyper(236,a,15840,a(flip),b,15939,a(flip)),flip(a)]. 15942 K(x,T(y,z) \ (T(z,y) * (u / T(z,y)))) = K(x,T(u / y,z \ y)). [para(12985(a,1),15941(a,2,2))]. 15943 K(x,T(y,z) \ T(u,T(z,y))) = K(x,T(u / y,z \ y)). [hyper(236,a,15783,a(flip),b,15942,a(flip)),flip(a)]. 15944 K(x,(((y * z) \ z) \ z) \ T(u,z * K(y \ 1,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). [hyper(236,a,6543,a(flip),b,15902,a(flip)),flip(a)]. 15945 K(x,(((y * z) \ z) \ z) \ T(u,z * K(y,z * y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(15852(a,1),15944(a,1,2,2))]. 15946 K(x,(((y * z) \ z) \ z) \ T(u,z * K(y,y * z))) = K(x,T(u / (y * z),(y * z) \ z)). [para(6605(a,1),15945(a,1,2,2,2,2))]. 15947 K(x,(((y * z) \ z) \ z) \ T(u,z * K(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(15772(a,1),15946(a,1,2,2))]. 15948 K(x,(((y * z) \ z) \ z) \ T(u,T(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [para(4887(a,2),15947(a,1,2,2,2))]. 15949 K(x,T(y * z,z) \ T(u,T(z,y))) = K(x,T(u / (y * z),(y * z) \ z)). [hyper(13208,a,15948,a)]. 15950 K(x,T(y / (z * u),(z * u) \ u)) = K(x,(u * z) \ T(y,T(u,z))). [hyper(236,a,15764,a(flip),b,15949,a(flip))]. 15951 K(x,T(y / (z * u),u \ (z \ u))) = K(x,(u * z) \ T(y,T(u,z))). [para(8607(a,1),15950(a,1,2))]. 15952 K(x,(y * z) \ T(u,T(y,z))) = K(x,T(u / (z * y),T(z,y))). [hyper(9376,a,15951,a),flip(a)]. 15953 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(5160(a,1),15952(a,1,2,1)),flip(a)]. 15954 K((x * (y \ z)) * K(z,u),R(y / x,x,y \ z)) = K(x * (y \ z),T(R(y / x,x,y \ z),u)). [para(14447(a,1),15722(a,1,1))]. 15955 K((x * (y \ z)) * K(z,u),L(y / x,x,y \ z)) = K(x * (y \ z),T(R(y / x,x,y \ z),u)). [hyper(15349,a,15954,a)]. 15956 K(x,L((y \ z) \ (u * K(w,w \ y)),u,K(w \ y,w))) = K(x,((w * (y / w)) \ z) \ T(u,K(w \ y,w))). [para(7547(a,1),15807(a,1,2,1,2))]. 15957 T(K(x,L(y / T(z \ u,u),w,v5)),L((x \ 1) \ 1,w,v5)) = (L(x \ 1,w,v5) \ 1) \ T(L(x \ 1,w,v5) \ 1,y / (u / z)). [hyper(236,a,11700,a,b,15781,a(flip)),flip(a)]. 15958 T(K(x,L(y / T(z \ u,u),w,v5)),L(T(x,1),w,v5)) = (L(x \ 1,w,v5) \ 1) \ T(L(x \ 1,w,v5) \ 1,y / (u / z)). [hyper(9913,a,15957,a)]. 15959 T(K(x,L(y / T(z \ u,u),w,v5)),L(x,w,v5)) = (L(x \ 1,w,v5) \ 1) \ T(L(x \ 1,w,v5) \ 1,y / (u / z)). [para(145(a,1),15958(a,1,2,1))]. 15960 K(x,L(y / T(z \ u,u),w,v5)) = (L(x \ 1,w,v5) \ 1) \ T(L(x \ 1,w,v5) \ 1,y / (u / z)). [hyper(8177,a,15959,a)]. 15961 K(L(x \ 1,y,z) \ 1,u / (w / v5)) = K(x,L(u / T(v5 \ w,w),y,z)). [hyper(236,a,4829,a,b,15960,a),flip(a)]. 15963 K((x \ 1) \ 1,L(y / (z / u),w,v5)) = K(x,L(y / T(u \ z,z),w,v5)). [hyper(11590,a,15961,a)]. 15964 K(x,L(y / T(z \ u,u),w,v5)) = K(x,L(y / (u / z),w,v5)). [hyper(5144,a,15963,a),flip(a)]. 15966 ((K(x,y) * z) * L(u,z,K(y,x))) \ (K(x,L(y,z,u)) * (z * u)) = (u * (K(x,L(y,z,u)) * z)) \ ((u * z) * K(x,L(T(y,z),z,u))). [para(40(a,2),15639(a,2,2,2,2))]. 15967 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(8151(a,1),15953(a,2,2,2))]. 15968 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(8681(a,1),15967(a,2,2,2))]. 15969 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(236,a,15935,a(flip),b,15968,a)]. 15970 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(236,a,15870,a(flip),b,15969,a)]. 15971 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(236,a,13185,a(flip),b,15970,a)]. 15972 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(4887(a,2),15971(a,2,2,1))]. 15973 K(x,T(y / ((z * u) * ((z * u) \ z)),T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)). [hyper(236,a,15943,a(flip),b,15972,a)]. 15974 K(x,T(y / z,T(z * u,(z * u) \ z))) = K(x,T(y / z,u \ z)). [para(14(a,1),15973(a,1,2,1,2))]. 15975 K(x,T(y / z,T(z * u,z))) = K(x,T(y / z,u \ z)). [para(8313(a,1),15974(a,1,2))]. 15976 K(x,T(y / z,u \ z)) = K(x,T(y / z,u * z)). [para(12988(a,1),15975(a,1,2)),flip(a)]. 15977 K(x,T((y * z) / z,u * z)) = K(x,T(y,u \ z)). [para(15(a,1),15976(a,1,2,1)),flip(a)]. 15978 K(x,T(y / z,(z / u) * z)) = K(x,T(y / z,u)). [para(65(a,1),15976(a,1,2,2)),flip(a)]. 15979 K(x,T(y,z \ u)) = K(x,T(y,z * u)). [para(15(a,1),15977(a,1,2,1)),flip(a)]. 15980 K(x,T(y,z * (u \ z))) = K(x,T(y,T(u,z))). [hyper(9376,a,15979,a),flip(a)]. 15981 K(x,T(y,z \ u)) = K(x,T(y,u * z)). [hyper(9375,a,15979,a)]. 15982 K(x \ (y * z),T(x / y,z * x)) = K(x \ (y * z),y \ x). [hyper(236,a,11239,a(flip),b,15979,a(flip))]. 15983 K(x * y,x) \ K(x * y,T(x,z * u)) = K(x,K(y,z \ u)). [hyper(72,a,15979,a(flip),b,9225,a)]. 15985 K(x,T(y,z * z)) = K(x,y). [para(148(a,1),15979(a,1,2)),flip(a)]. 15988 K(x * (y \ z),T(u,z * y)) != w | K((y \ z) * x,u) = w. [para(15979(a,1),13424(a,1))]. 15990 K(x * y,T(x,z * y)) = K(x * y,T(x,z)). [hyper(8874,a,15981,a),flip(a)]. 15991 K(x,T(y,z * u)) = K(x,T(y,u * z)). [hyper(236,a,15979,a(flip),b,15981,a(flip))]. 15993 K((x * y) \ z,T(u,y * x)) = K(z / (x * y),u). [hyper(8184,a,15991,a),flip(a)]. 15994 K(L(x,y,z),T(T(u,y),y * z)) = K((z * (x * y)) / (z * y),u). [hyper(236,a,9798,a(flip),b,15991,a)]. 15997 K(x,T(y,z * (u \ 1))) = K(x,T(y,u \ z)). [para(14238(a,1),15991(a,1,2)),flip(a)]. 16001 K(T(x,y) * z,T(x,u * z)) = K(x * z,T(x,u)). [hyper(236,a,7684,a,b,15990,a(flip)),flip(a)]. 16002 K(x,T(y,z / u)) = K(x,T(y,u \ z)). [hyper(236,a,12195,a(flip),b,15997,a(flip)),flip(a)]. 16003 K((x * (y \ 1)) \ z,T(u,y \ x)) != w | K(z / (x * (y \ 1)),u) = w. [para(15997(a,1),8184(a,1))]. 16004 K((((x \ 1) * K(y,z)) * T(u,x \ 1)) \ w,v5) = K((u * (K(y,T(z,x \ u)) * (1 / x))) \ w,v5). [para(15997(a,1),15458(a,1,1,1,2,1)),flip(a)]. 16005 K(x,L((y / z) \ u,y / z,z)) = K(x,T((u * z) / y,z \ y)). [hyper(15391,a,16002,a)]. 16006 x \ (y * (K((y \ x) / (z / y),u) * (y \ x))) = K(((y \ x) * y) / z,T(u,x / y)). [hyper(236,a,15419,a,b,16002,a),flip(a)]. 16007 K(x,T(y,z / u)) = K(x,T(y,u * z)). [hyper(236,a,15979,a(flip),b,16002,a)]. 16008 K(x,T((y \ (z * u)) \ 1,u \ y)) = K(x,(T(z,y / u) * u) \ y). [hyper(236,a,15819,a(flip),b,16002,a(flip))]. 16009 K(x / (y / z),T(u,z \ y)) != w | K((y / z) \ x,u) = w. [para(16002(a,1),8178(a,1))]. 16012 K(x / (y / z),T(u,z * y)) = K((y / z) \ x,u). [hyper(8178,a,16007,a),flip(a)]. 16013 K(x,L(T(y,z * u),w,v5)) = K(x,T(L(y,w,v5),u / z)). [para(40(a,2),16007(a,2,2)),flip(a)]. 16018 K(x,T(y / z,z * (u \ z))) = K(x,T(y / z,u)). [para(13288(a,1),15978(a,1,2))]. 16019 K(x,(y * z) \ u) * K(u / (y * z),x) != w | K(x,K((y * z) \ u,z * y)) = w. [para(15993(a,1),8043(a,1,2))]. 16020 K((x * (1 / y)) \ z,T(u,y \ x)) = K(z / (x * (1 / y)),u). [para(14239(a,1),15993(a,1,2))]. 16021 a(x,y,x) * K(y,T(x,z)) = K(x * y,T(x,z)). [hyper(236,a,12045,a(flip),b,16001,a(flip)),flip(a)]. 16022 K(x * y,T(x,z)) * K(x,T(y,z)) = a(x,y,x). [hyper(7666,a,16021,a)]. 16024 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(10056(a,1),16022(a,1,1))]. 16025 K(x / (K(y,z) / R(y,u,u \ 1)),T(w,R(T(y,z),u,u \ 1))) = K((K(y,z) / R(y,u,u \ 1)) \ x,w). [para(15561(a,1),16012(a,1,2,2))]. 16026 K(x,T(y / z,T(u,z))) = K(x,T(y / z,u)). [hyper(236,a,15980,a(flip),b,16018,a(flip)),flip(a)]. 16028 K(x,T(y / z,u)) * K(z \ y,T(x,u)) = K(x,K(y,z)). [para(16026(a,1),11973(a,1,1))]. 16029 K(x,L(T(y,z / u),w,v5)) = K(x,L(T(y,u * z),w,v5)). [para(40(a,2),16013(a,2,2)),flip(a)]. 16030 K(x,K(y,T(z,u))) = K(z,K(x,y)). [hyper(11263,a,16028,a)]. 16031 K(x,K(T(y,z),u)) = K(x,K(y,u)). [hyper(8037,a,16030,a)]. 16032 K(x,K(y,T(z,u))) = K(x,K(z,y)). [hyper(8036,a,16030,a)]. 16033 K(x,K(y,z \ u)) = K(y,K(x,u / z)). [hyper(8016,a,16030,a)]. 16034 K(x,K(y,T(z,u))) = K(x,K(y,z)). [hyper(236,a,7923,a,b,16030,a)]. 16037 K(x,K(y,T(z,u))) != w | K(x,K(y,z)) = w. [para(16030(a,2),7960(a,1))]. 16038 K(x,T(y,z)) * K(y,K(x,u)) = K(x,T(T(y,z),u)). [para(16030(a,1),7955(a,1,2))]. 16039 K(x * y,K(z,u)) = K(z,K(u,y * x)). [para(13017(a,1),16030(a,1,2)),flip(a)]. 16042 K(x,K(y,z / u)) = K(x,K(y,u \ z)). [para(7313(a,1),16031(a,1,2)),flip(a)]. 16043 T(x,K(y,T(z,u))) = K(x,K(z,y)) * x. [para(16031(a,1),7958(a,1,1)),flip(a)]. 16044 K(x,K(y,z * u)) = K(x,K(y,u * z)). [para(13030(a,1),16031(a,1,2))]. 16045 K(x,K(y,z)) * K(x,T(y,u) * z) = K(x,z * T(y,u)). [para(16031(a,1),13238(a,1,1))]. 16046 K(x,K(y,z)) * K(x,z * T(y,u)) = K(x,T(y,u) * z). [para(16031(a,1),13240(a,1,1))]. 16049 K(x,K(y / z,u)) = K(x,K(u,z \ y)). [para(121(a,1),16032(a,1,2,2)),flip(a)]. 16050 K(x,K(y \ z,u)) = K(x,K(u,z / y)). [para(7272(a,1),16032(a,1,2))]. 16051 K(x,K(y,z)) * u = u * K(x,K(z,y)). [para(16032(a,1),7360(a,1,2)),flip(a)]. 16052 K(x,K(y,z / u)) != w | K(x,K(y,u \ z)) = w. [para(16032(a,1),8016(a,1))]. 16053 K(x,K(y,(z \ u) * z)) = K(x,K(u,y)). [para(13034(a,2),16032(a,1,2))]. 16054 K(x,y * T(z,u)) * K(x,K(z,y)) = K(x,T(z,u) * y). [para(16032(a,1),13242(a,1,2))]. 16056 ((x * (K(y,z) * u)) / x) / ((x * (u * K(y,z))) / x) = K(z,K(u * K(y,z),y)). [hyper(236,a,13436,a,b,16034,a(flip)),flip(a)]. 16057 K(x,K(y,z)) * u = u * K(x,K(y,z)). [para(16034(a,1),7360(a,1,2)),flip(a)]. 16060 K(x,K(y,L(z / u,u,w))) = K(x,K(y,(w * u) \ (w * z))). [para(8136(a,1),16034(a,1,2))]. 16061 K(x,y \ T(z,u)) * K(x,K(y,z)) = K(x,T(z,u) / y). [para(16034(a,1),9380(a,1,2))]. 16062 K(x,y / T(z,u)) * K(x,K(y,z)) = K(x,T(z,u) \ y). [para(16034(a,1),9411(a,1,2))]. 16065 K(x,K(y,z)) \ K(x \ (y * z),T(y \ x,u)) = K(x \ (y * T(z,u)),x / y). [para(16034(a,1),15937(a,1,1))]. 16067 K(x,K(y \ (z \ u),L(w,y,z))) = K(x,K(w,u / (z * y))). [hyper(236,a,11567,a,b,16033,a(flip)),flip(a)]. 16068 K(x,K(y,z \ u)) != w | K(x,K(y,u / z)) = w. [para(16033(a,2),7921(a,1))]. 16069 K(x,K(y,z \ u)) * K(x,y / (u / z)) = K(x,(u / z) \ y). [para(16033(a,2),9409(a,1,1))]. 16071 K(K(x,y),z * u) = K(x,K(y,u * z)). [hyper(236,a,7936,a,b,16039,a(flip)),flip(a)]. 16072 K(x,K(y,z * u)) != w | K(y,K(x,u * z)) = w. [para(16039(a,1),7908(a,1))]. 16073 K(x,K(y,z * u)) != w | K(x,K(y,u * z)) = w. [para(16039(a,1),7960(a,1))]. 16074 x * (y * K(z,K(u,y * x))) = T(x * y,K(z,u)). [para(16039(a,1),14118(a,1,2,2))]. 16075 T(x * K(y,K(z,x * u)),u) = u \ T(x * u,K(y,z)). [para(16039(a,1),14120(a,1,1,2))]. 16077 K(x,K(y,z / u)) = K(x,K(y,z \ u)). [hyper(9361,a,16042,a)]. 16078 K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(y / u,K(z,1 / z) / (z * y))). [hyper(236,a,11627,a,b,16042,a),flip(a)]. 16079 K(x,K(y,z * (u \ 1))) = K(x,K(y,u \ z)). [hyper(236,a,12151,a,b,16042,a(flip)),flip(a)]. 16080 K(x,K(y,z \ u)) != w | K(x,K(y,z / u)) = w. [para(16042(a,1),9361(a,1))]. 16081 K(x,K(y,z \ u)) * K(x,(u / z) * y) = K(x,y * (u / z)). [para(16042(a,1),13240(a,1,1))]. 16082 K(x,K(y,(1 / z) * u)) = K(x,K(y,u / z)). [para(14061(a,2),16042(a,2,2)),flip(a)]. 16083 T(x,K(y,T(z,u))) = T(x,K(z,y)). [hyper(236,a,4897,a,b,16043,a)]. 16084 T(x,K(y,T(z,u))) = T(x,K(y,z)). [hyper(236,a,7958,a(flip),b,16043,a)]. 16086 T(x,K(y,T(z,u))) != w | T(x,K(y,z)) = w. [para(16083(a,2),8002(a,1))]. 16087 T(x,K(y,z)) * K(z,T(y,u)) != w | K(z,T(y,u)) * x = w. [para(16083(a,1),8201(a,1,1))]. 16090 T(x,K(y,z / u)) = T(x,K(y,u \ z)). [para(121(a,1),16084(a,1,2,2)),flip(a)]. 16091 T(x,T(K(y,z),u)) = T(x,K(y,z)). [para(6437(a,1),16084(a,1,2))]. 16092 T(x,K(y,z * u)) = T(x,K(y,u * z)). [para(13017(a,1),16084(a,1,2))]. 16093 K(x,K(y,z)) * (u * x) = u * T(x,K(y,z)). [para(16091(a,1),7520(a,2,2))]. 16094 x * (y * K(x,K(z,u))) = T(x,K(z,u)) * y. [para(16091(a,1),8109(a,1,1)),flip(a)]. 16096 K(x,K(y,z * u)) != w | K(u * z,K(x,y)) = w. [para(16044(a,1),7939(a,1))]. 16097 K(x,K(y,z \ u)) * K(x,y / (u / z)) != w | K(x,(u / z) \ y) = w. [para(16049(a,1),9402(a,1,1))]. 16098 K(x,K(y * (z \ 1),u)) = K(x,K(u,z \ y)). [para(14068(a,2),16049(a,1,2))]. 16099 K(x,K(y \ z,u)) != w | K(x,K(z / y,u)) = w. [para(16050(a,2),7971(a,1))]. 16100 K(x,K(y,(z * u) / (z * (u / w)))) = K(x,K(w,L(y,u,z))). [para(11478(a,1),16050(a,1,2)),flip(a)]. 16102 K(x,K(y,z)) * u = u * K(y,K(x,z)). [para(7923(a,1),16051(a,1,1))]. 16103 K(x,y / x) * K(y,K(z,x)) != u | K(x,T(y / x,z)) = u. [para(16051(a,1),9678(a,1))]. 16105 K(x,K(y / z,(z \ u) * y)) = K(x,K(u,y / z)). [hyper(236,a,10669,a(flip),b,16053,a(flip)),flip(a)]. 16106 K(x,K(y,z)) * K(x,z * ((u \ y) * u)) = K(x,((u \ y) * u) * z). [para(16053(a,1),13238(a,1,1))]. 16107 (K(x,y) * z) * K(x,K(y,u)) = K(x,T(y,u)) * z. [hyper(9157,a,16057,a),flip(a)]. 16108 x * T(y,T(x,K(z,u))) = y * x. [hyper(8649,a,16057,a),flip(a)]. 16109 T(x,K(y,K(z,u))) = x. [hyper(8000,a,16057,a)]. 16110 K(x,K(y,z)) * (u * K(x,K(y,z))) = u. [hyper(7968,a,16057,a)]. 16111 K(x,K(y,z)) \ u = u * K(x,K(y,z)). [hyper(7967,a,16057,a)]. 16112 (x \ y) * K(z,K(u,x)) = T(x,K(z,u)) \ y. [hyper(7907,a,16057,a),flip(a)]. 16113 K(x,K(y,z)) * (u \ x) = u \ T(x,K(y,z)). [hyper(236,a,14432,a(flip),b,16057,a)]. 16114 K(x,K(y,z)) * (u / x) = u / T(x,K(y,z)). [hyper(236,a,7972,a(flip),b,16057,a)]. 16115 K(x,K(y,z)) * (u * K(x,y)) = u * T(K(x,y),z). [hyper(236,a,7909,a(flip),b,16057,a)]. 16116 K(x,K(y,K(z,u))) = 1. [hyper(73,a,16057,a,b,4817,a),flip(a)]. 16117 x * (K(y,K(z,u)) * w) = x * (w * K(y,K(z,u))). [hyper(21,a,16057,a)]. 16118 T(x,T(y,K(z,u))) = T(x,y). [hyper(17,a,7134,a,b,16057,a),flip(a)]. 16120 K(x,K(y,z)) * (u / z) = u / T(z,K(x,y)). [hyper(7915,a,16057,a(flip)),flip(a)]. 16121 x * (y * K(z,K(x,u))) != w | T(x,K(z,u)) * y = w. [para(16057(a,1),7928(a,1,2))]. 16122 K(x,K(y,z * u)) * w = w * K(x,K(y,u * z)). [para(16044(a,1),16057(a,1,1))]. 16123 T(x,K(y,z) * u) = T(x,u * K(y,z)). [hyper(13074,a,16109,a)]. 16124 K(x,T(y,K(z,u))) = K(x,y). [hyper(8943,a,16109,a)]. 16125 T(x,K(y,z) / u) = T(x,u \ K(y,z)). [hyper(236,a,9327,a(flip),b,16109,a(flip))]. 16128 T(x,K(y,K(z,u))) != w | w = x. [para(16109(a,1),7992(a,1,1))]. 16129 x * K(y,K(z,u)) != w | K(y,K(z,u)) * x = w. [para(16109(a,1),8201(a,1,1))]. 16130 T(x,K(y,z) * u) != w | T(x,u * K(y,z)) = w. [para(16109(a,1),13095(a,1,1))]. 16131 T(x / (y * K(z,K(u,w))),y) = (K(z,K(u,w)) * y) \ x. [para(16109(a,1),15617(a,2,2))]. 16133 K(x,K(y,z)) * T(x,u) = T(T(x,K(y,z)),u). [hyper(8224,a,16118,a)]. 16135 (K(x,y) \ z) * K(z / K(x,y),u) = T(K(x,y) \ z,u). [hyper(236,a,8122,a,b,16118,a(flip)),flip(a)]. 16136 T((x / y) * T(y,z),x / y) = T(x * K(y,z),y \ x). [hyper(236,a,7157,a(flip),b,16118,a(flip)),flip(a)]. 16137 T(x,T(y,T(z,u))) = T(x,T(y,z)). [para(7135(a,1),16118(a,1,2))]. 16140 (x * K(y,z)) * K(x,u) = T(x,u) * K(y,z). [para(16118(a,1),8089(a,1,1)),flip(a)]. 16143 T(x,T(y,K(z,u))) != w | T(x,y) = w. [para(16118(a,1),8242(a,1))]. 16145 T(x,K(y,z) * (u / z)) = T(x,u / T(z,y)). [para(8192(a,1),16118(a,1,2))]. 16146 T(x,K(y,z) * (u * y)) = T(x,u * T(y,z)). [para(8194(a,1),16118(a,1,2))]. 16147 T(x,y * (z * K(y,u))) = T(x,T(y,u) * z). [para(8652(a,1),16118(a,1,2))]. 16148 T(x,T(y / T(z,u),z)) = T(x,T(z,u) \ y). [para(9759(a,1),16118(a,1,2))]. 16151 K(K(x,y) * (z * x),u) = K(z * T(x,y),u). [hyper(13422,a,16124,a)]. 16152 K(K(x,y) * z,u) = K(z * K(x,y),u). [hyper(13410,a,16124,a)]. 16154 K(x,K(y,z) * u) = K(x,u * K(y,z)). [hyper(13098,a,16124,a)]. 16155 T(K(x,y),K(z,u)) = K(x,y). [hyper(8540,a,16124,a)]. 16156 K(x,K(y,z) / u) = K(x,u \ K(y,z)). [hyper(8189,a,16124,a)]. 16158 K(T(x,K(y,z)),u) = K(x,u). [hyper(8173,a,16124,a),flip(a)]. 16160 K(x * K(y,z),T(y,K(u,w))) = K(x,y). [hyper(236,a,7574,a(flip),b,16124,a)]. 16162 (K(x,y) * K(z,u)) \ K(z,u) = K(y,x). [hyper(236,a,7591,a,b,16124,a(flip)),flip(a)]. 16164 K(x,T(y,T(z,u))) = K(x,T(y,z)). [para(7135(a,1),16124(a,1,2))]. 16165 K(x,y) * K(z,u) = K(z,u) * K(x,y). [para(16124(a,1),7281(a,1,2))]. 16167 (K(x,y) * K(z,u)) * K(y,x) = K(z,u). [para(16124(a,1),7551(a,1,2))]. 16168 K(x,y) * K(z,u) != w | K(z,u) * K(x,y) = w. [para(16124(a,1),7283(a,1,2))]. 16169 K(x,K(y,z) / u) != w | K(x,u \ K(y,z)) = w. [para(16124(a,1),7297(a,1))]. 16170 T(L(K(x,y),z,u),K(w,v5)) = L(K(x,y),z,u). [para(16124(a,1),7279(a,1,1)),flip(a)]. 16171 T(K(x,y),K(z,u)) != w | K(x,y) = w. [para(16124(a,1),8048(a,1,1))]. 16172 K(T(x,K(y,z)),u) != w | K(x,u) = w. [para(16124(a,1),8173(a,1))]. 16173 K(x,T(y,K(z,u))) != w | K(x,y) = w. [para(16124(a,1),8174(a,1))]. 16174 K(x,K(y,z) * (u * y)) = K(x,u * T(y,z)). [para(8194(a,1),16124(a,1,2))]. 16176 L(K(x,y),x,z) = (x * K(u,w)) \ (T(x,y) * K(u,w)). [para(16124(a,1),8583(a,1,1))]. 16178 K(x,K(y,L(z,u,w)) * (w * u)) = K(x,w * (u * K(y,z))). [para(11578(a,1),16124(a,1,2)),flip(a)]. 16181 K(x,K(y,z) * u) != w | K(x,u * K(y,z)) = w. [para(16124(a,1),13066(a,1))]. 16182 K(x,y * K(z,u)) != w | K(x,K(z,u) * y) = w. [para(16124(a,1),13098(a,1))]. 16183 K(K(x,y) * z,u) != w | K(z * K(x,y),u) = w. [para(16124(a,1),13398(a,1))]. 16184 K(x * K(y,z),u) != w | K(K(y,z) * x,u) = w. [para(16124(a,1),13410(a,1))]. 16195 K(T(x / y,K(z,u)),w) = K(x / L(y,v5,y),w). [hyper(236,a,13381,a,b,16158,a)]. 16197 K((K(x,y) * z) * T(u,z),w) = K(u * (z * K(x,y)),w). [para(15437(a,1),16158(a,1,1)),flip(a)]. 16199 (x / T(y,K(z,u))) * y = y * (T(y,K(z,u)) \ x). [para(121(a,1),16108(a,1,2)),flip(a)]. 16202 K(x * T(y,z),T(u,y)) = K(T(y,z) * x,u). [hyper(13410,a,16164,a),flip(a)]. 16203 K(x,T(T(y,z) * u,y)) = K(x,u * T(y,z)). [hyper(13066,a,16164,a),flip(a)]. 16204 T(K(x,y),T(z,u)) = K(x,T(y,z)). [hyper(8540,a,16164,a)]. 16205 K(x,T(y \ T(z,u),z)) = K(x,T(z,u) / y). [hyper(8189,a,16164,a),flip(a)]. 16206 K(x,T(T(y,z) \ u,y)) = K(x,u / T(y,z)). [hyper(8187,a,16164,a),flip(a)]. 16210 K(x \ y,T(z,T(y,u))) = K(y / x,z). [hyper(236,a,8052,a(flip),b,16164,a)]. 16213 K(x,T(T(y * T(z,u),w),z)) = K(x,T(T(z,u) * y,w)). [hyper(236,a,13043,a(flip),b,16164,a(flip))]. 16216 K(x \ T(y,z),T(u,y)) != w | K(T(y,z) / x,u) = w. [para(16164(a,1),8171(a,1))]. 16217 K(x / T(y,z),T(u,y)) != w | K(T(y,z) \ x,u) = w. [para(16164(a,1),8178(a,1))]. 16218 K(T(x,y) \ z,T(u,x)) != w | K(z / T(x,y),u) = w. [para(16164(a,1),8184(a,1))]. 16220 K(x,T(y \ T(z,u),z)) != w | K(x,T(z,u) / y) = w. [para(16164(a,1),8189(a,1))]. 16222 K(x * y,T(x,z)) * K(x,T(y,T(z,u))) = a(x,y,x). [para(16164(a,1),16022(a,1,1))]. 16227 T(K(x,y) * z,u) * K(y,T(x,w)) = K(y,T(x,w)) * T(z * K(x,y),u). [para(16204(a,1),11907(a,1,2))]. 16228 T(K(x,y) * z,T(z,u)) = (z * (z * K(x,T(y,z)))) / z. [para(16204(a,1),13323(a,1,1,2,2)),flip(a)]. 16230 T(x,y * K(z,u)) != w | T(x,K(u,z) \ y) = w. [para(8191(a,1),16143(a,1,2))]. 16232 T(x,K(y,z) * (u * y)) != w | T(x,u * T(y,z)) = w. [para(8194(a,1),16143(a,1,2))]. 16233 T(x,T(y,z * u)) != w | T(x,T(y,u * z)) = w. [para(13063(a,1),16143(a,1,2))]. 16234 K(x,T(T(y,K(z,u)),w)) != v5 | K(x,T(y,w)) = v5. [para(7278(a,2),16171(a,1))]. 16235 K(x,L(T(y,K(z,u)),w,v5)) != v6 | K(x,L(y,w,v5)) = v6. [para(7280(a,2),16171(a,1))]. 16236 K(x,y / K(z,u)) != w | K(x,K(z,u) \ y) = w. [para(8056(a,1),16171(a,1))]. 16237 K((T(x,y) \ z) * K(x,y),u) != w | K(x \ z,u) = w. [para(8198(a,2),16172(a,1,1))]. 16238 K(x,T(y,L(K(z,u),w,v5))) != v6 | K(x,y) = v6. [para(5893(a,1),16173(a,1,2,2))]. 16239 K(x,T(y,T(z,u))) != w | K(x,T(y,z)) = w. [para(7135(a,1),16173(a,1,2))]. 16240 (K(x,y) * K(z,u)) \ K(z,u) != w | K(y,x) = w. [para(7591(a,2),16173(a,1))]. 16241 K(x,y * K(z,u)) != w | K(x,K(u,z) \ y) = w. [para(8191(a,1),16173(a,1,2))]. 16242 K(x,K(y,z) * (u / z)) != w | K(x,u / T(z,y)) = w. [para(8192(a,1),16173(a,1,2))]. 16243 K(x,K(y,z) * (u * y)) != w | K(x,u * T(y,z)) = w. [para(8194(a,1),16173(a,1,2))]. 16244 K(x,T(y,z \ u)) != w | K(x,T(y,u / z)) = w. [para(8329(a,1),16173(a,1,2))]. 16245 K(L((x \ y) / K(z,u),K(z,u),x),w) != v5 | K((x * K(z,u)) \ y,w) = v5. [para(8126(a,2),16173(a,1))]. 16246 K(x,T(y,z * u)) != w | K(x,T(y,u * z)) = w. [para(13063(a,1),16173(a,1,2))]. 16247 K(x,K(y,(z * u) / (z * (u * w)))) = K(x,K(y,L(w,u,z))). [para(28(a,2),16077(a,2,2,2))]. 16248 K(x,y * (z / u)) * K(x,K(y,z \ u)) = K(x,(z / u) * y). [para(16077(a,1),13242(a,1,2))]. 16249 K(x,y) * (K(y,T(x,z)) * u) = u * K(x,K(y,z)). [hyper(12384,a,16102,a)]. 16250 (R(x,K(y,K(z,u)),(x * K(y,K(z,u))) \ w) \ w) * K(y,K(z,u)) = (x * K(y,K(z,u))) \ w. [hyper(17,a,277,a(flip),b,16110,a)]. 16251 L(L(x * K(y,K(z,u)),K(y,K(z,u)),w),w * K(y,K(z,u)),v5) = (v5 * (w * K(y,K(z,u)))) \ (v5 * (w * x)). [para(16110(a,1),440(a,1,2,2,2)),flip(a)]. 16252 K(x,K(y,z)) \ T(u,x) = x \ (u * T(x,K(y,z))). [hyper(236,a,7132,a,b,16111,a)]. 16253 T(x,y * K(z,z \ u)) = T(x,K(u,z) * y). [hyper(15809,a,16123,a),flip(a)]. 16254 T(x,y * K(z \ u,z)) = T(x,K(u,z) * y). [hyper(15808,a,16123,a),flip(a)]. 16256 T(x,K(y,z) * (u / y)) = T(x,u / T(y,z)). [hyper(236,a,15704,a(flip),b,16123,a)]. 16257 x \ T(y * T(x,K(z,u)),K(z,u)) = T(y,x * K(u,z)). [hyper(236,a,15654,a,b,16123,a(flip)),flip(a)]. 16258 T(x,(y \ z) * K(y,u)) = T(x,T(y,u) \ z). [hyper(236,a,15670,a(flip),b,16123,a(flip))]. 16261 T(x,K(y,z) * (u \ y)) = T(x,u \ T(y,z)). [para(14432(a,1),16123(a,2,2))]. 16262 T(x * T(y,K(z,u)),K(z,u)) = y * T(x,y * K(z,u)). [para(16123(a,1),15662(a,2,2))]. 16263 T(x,y * K(z,u)) != w | T(x,K(u,z) * y) = w. [para(16123(a,1),15799(a,1))]. 16264 K(x * K(y,z),u / x) = K(x * K(y,z),x \ u). [hyper(13423,a,16152,a),flip(a)]. 16265 K(x * K(y,z),x \ y) = K(x,T(x \ y,z)). [hyper(11201,a,16152,a),flip(a)]. 16266 K(K(x,y) * z,u) = K(z * K(y,x),u). [hyper(236,a,15705,a,b,16152,a)]. 16267 K(K(x \ 1,y) * z,u) = K(z * K(x,y),u). [hyper(236,a,15847,a(flip),b,16152,a)]. 16268 K(K(x,y) * (z \ y),u) = K(z \ T(y,x),u). [hyper(236,a,15708,a(flip),b,16152,a)]. 16269 K(x * K(y,z),x \ K(z,y)) = K(x,x \ 1). [hyper(236,a,15010,a(flip),b,16152,a(flip))]. 16270 K(x * K(y \ z,y),u) = K(K(z,y) * x,u). [hyper(236,a,13425,a(flip),b,16152,a(flip))]. 16271 K(K(x,x \ y) * (z * y),u) = K(z * (x * (y / x)),u). [para(10662(a,1),16152(a,2,1))]. 16272 K((x \ y) * K(z,z \ x),u) = K(((z \ x) * z) \ y,u). [para(11060(a,1),16152(a,1,1)),flip(a)]. 16273 x * K(y * K(z,u),K(z,u) \ (y \ x)) = (K(z,u) * y) * (x / (K(z,u) * y)). [para(16152(a,1),14646(a,1,2))]. 16274 K(K(x,y) * z,u) != w | K(z * K(y,x),u) = w. [para(16152(a,2),15706(a,1))]. 16275 K(x,K(y,z) * u) = K(x,u * K(z,y)). [hyper(15676,a,16154,a)]. 16276 K(x,y * K(z,z * u)) = K(x,K(z,u) * y). [hyper(236,a,13078,a,b,16154,a),flip(a)]. 16277 K(x,K(y,y \ z) * u) = K(x,u * K(z,y)). [hyper(236,a,15677,a,b,16154,a(flip)),flip(a)]. 16278 K(x,(y \ z) * K(y,u)) = K(x,T(y,u) \ z). [hyper(236,a,15680,a(flip),b,16154,a(flip))]. 16279 K(x,K(y \ z,y) * (u * z)) = K(x,u * ((y \ z) * y)). [para(10659(a,1),16154(a,2,2))]. 16280 K(x,K(y,z) * (u \ y)) = K(x,u \ T(y,z)). [para(14432(a,1),16154(a,2,2))]. 16281 K(x,y * K(z,u)) != w | K(x,K(u,z) * y) = w. [para(16154(a,1),15676(a,1))]. 16282 K(x,y * K(z \ (u * w),w * u)) != v5 | K(x,K(w * u,z) * y) = v5. [para(16154(a,1),15842(a,1))]. 16283 K(x,T(1 / (y * z),y)) = K(x,K(z,1 / z) / (z * y)). [hyper(236,a,15442,a,b,16156,a),flip(a)]. 16287 K(x,y) * K(z / (z / u),w) = K(u,T(w,z)) * K(x,y). [para(8074(a,1),16165(a,1,1)),flip(a)]. 16290 K(x / y,T(x,z) \ u) != w | K(y \ x,u / T(x,z)) = w. [para(16210(a,1),8187(a,1))]. 16293 K(K(x,y) * z,u) = K(K(y,x) * z,u). [hyper(236,a,16152,a,b,16266,a)]. 16294 K((x \ y) * K(x,z),u) = K(T(x,z) \ y,u). [para(5204(a,1),16266(a,1,1)),flip(a)]. 16295 K(K(x \ 1,x) * y,z) != u | K(y,z) = u. [para(16266(a,2),5423(a,1))]. 16296 K(K(x,x \ y) * (z * y),u) = K(z * ((x \ y) * x),u). [para(10659(a,1),16266(a,2,1))]. 16299 K(x,K(y,z) * (u / y)) = K(x,u / T(y,z)). [para(7555(a,1),16275(a,2,2))]. 16300 K(x,K(y,z) * (u * (y * z))) = K(x,u * (z * y)). [para(10676(a,1),16275(a,2,2))]. 16301 K(K(x * y,x) * z,u) = K(K(x,y) * z,u). [hyper(236,a,13380,a,b,16293,a),flip(a)]. 16302 (x * K(K(y,z) * (u \ x),u)) * K(z,y) = (u \ (x * K(z,y))) * u. [para(16293(a,1),14122(a,1,1,2))]. 16303 K(x,K(T(y,z),u)) != w | K(x,K(y,u)) = w. [para(7260(a,2),16037(a,1,2))]. 16304 K(x,K(y * z,u)) != w | K(x,K(z * y,u)) = w. [para(13395(a,1),16037(a,1,2))]. 16305 T(x,K(y,z \ u)) != w | T(x,K(y,u / z)) = w. [para(121(a,1),16086(a,1,2,2))]. 16306 T(x,K(y,z / u)) != w | T(x,K(y,u \ z)) = w. [para(8066(a,1),16086(a,1,2))]. 16307 T(x,K(y,z * u)) != w | T(x,K(y,u * z)) = w. [para(13017(a,1),16086(a,1,2))]. 16310 K(x,T(y,z / u)) != w | K(x,T(y,u \ z)) = w. [para(8151(a,1),16239(a,1,2))]. 16314 K((x * (1 / y)) \ z,u) != w | K((x * (y \ 1)) \ z,u) = w. [para(4604(a,1),16295(a,1,1))]. 16317 K(x,(y * (z \ 1)) \ u) * K(x,K(u,z \ y)) = K(x,u / (y * (z \ 1))). [para(16079(a,1),9403(a,1,2))]. 16318 T(x,K(y,z)) \ (u * x) = x \ (u * T(x,K(y,z))). [hyper(72,a,16093,a(flip),b,7963,a),flip(a)]. 16320 T(x,K(y,z)) * (u / T(x,K(y,z))) = x * (u / x). [para(6197(a,1),16094(a,1,2)),flip(a)]. 16321 T(K(x,y) \ z,K(x,y)) * (u / (K(x,y) \ z)) = (K(x,y) \ z) * (u / (z / K(x,y))). [para(6360(a,1),16094(a,1,2)),flip(a)]. 16324 (x * T(y,z)) * K(x * y,u) = T(x * y,u) * K(y,z). [para(6201(a,1),16140(a,1,1))]. 16325 T(x,T(y \ 1,z) * u) != w | T(x,y \ (u * K(y \ 1,z))) = w. [para(16147(a,1),14260(a,1))]. 16326 T((x / T(y,z)) * y,x / T(y,z)) = T(x * K(z,y),T(y,z) \ x). [hyper(236,a,7654,a,b,16148,a(flip)),flip(a)]. 16328 T(K(x,y) * (x * T(z,T(x,y))),T(u,x * T(z,T(x,y)))) = (z * T(x,y)) * K(z * T(x,y),u). [para(16151(a,1),13807(a,2,2))]. 16333 T(L(K(x,y),z,u),w / v5) = T(L(K(x,y),z,u),v5 \ w). [para(16170(a,1),9342(a,1,1))]. 16334 L(T(x,K(y,z) * (u * y)),u * y,K(y,z)) = K(x,u * T(y,z)) * L(x,u * y,K(y,z)). [para(16174(a,1),14205(a,1,1)),flip(a)]. 16335 K(x / y,T(y,z) * u) = K(y \ x,u * T(y,z)). [hyper(8184,a,16203,a)]. 16336 K(x,T(y \ ((z \ u) * z),(z \ u) * T(z,u))) = K(x,T((z \ u) * T(z,u),z) / y). [para(4252(a,1),16205(a,1,2,1,2))]. 16337 T(x,K(y,z) * (u * y)) = T(x,u * (z * (y / z))). [para(10662(a,1),16253(a,1,2)),flip(a)]. 16338 T(x,y \ (z * (u / z))) = T(x,K(u,z) * (y \ u)). [para(15624(a,1),16253(a,1,2))]. 16340 T(x,K(y,z) * (u * y)) = T(x,u * ((z \ y) * z)). [para(10659(a,1),16254(a,1,2)),flip(a)]. 16342 K(K(x \ 1,y) * z,u) = K(K(y,x) * z,u). [hyper(236,a,16266,a,b,16267,a)]. 16343 (x * K(y,z)) * (K(z,y) / x) = K(x,x \ 1). [hyper(236,a,14200,a(flip),b,16269,a(flip)),flip(a)]. 16344 K(K(x,y) * (z / (y \ x)),u) = K(z / (x / y),u). [para(6360(a,1),16270(a,1,1)),flip(a)]. 16345 K(x,y * K(z,z \ u)) = K(x,y * K(u,z)). [hyper(236,a,16154,a(flip),b,16277,a(flip)),flip(a)]. 16346 K(x,y \ (z * (u / z))) = K(x,K(u,z) * (y \ u)). [hyper(236,a,15783,a,b,16280,a),flip(a)]. 16347 K(x,(T(y,z) \ u) \ 1) = K(x,K(y,z) * (u \ y)). [hyper(236,a,6408,a,b,16280,a),flip(a)]. 16348 K(x,y * (K(z,u) * (w / z))) * K(x,K(y,w / T(z,u))) = K(x,(K(z,u) * (w / z)) * y). [para(16299(a,1),13242(a,1,2,2))]. 16350 K(x,x \ 1) * ((K(y,z) / x) \ u) = u * T(u \ (1 * ((K(y,z) / x) \ u)),K(y,z) / x). [para(16343(a,1),14190(a,1,1))]. 16351 K(x,(T(y \ z,u) / u) * K(z,y)) = K(x,u \ (z / y)). [hyper(236,a,14367,a(flip),b,16345,a(flip))]. 16352 K(x,K(y,(1 / z) * u)) != w | K(x,K(y,u / z)) = w. [para(14061(a,2),16068(a,1,2))]. 16353 K(x,K(y,(z * u) * w)) != v5 | K(x,K(y,(u * w) * R(z,u,w))) = v5. [para(113(a,1),16073(a,1,2,2))]. 16357 T(x,K(y,z) * u) != w | T(x,u * K(z,y)) = w. [para(15661(a,1),16130(a,1))]. 16359 (x * K(y,z)) * (1 / x) != u | K(y,z) * K(x,x \ K(z,y)) = u. [para(14935(a,1),16168(a,1))]. 16360 K(x,K(y,z) * u) * K(w,v5) != v6 | K(w,v5) * K(x,u * K(z,y)) = v6. [para(16275(a,2),16168(a,1,1))]. 16361 K(x,K(y,z) * u) != w | K(x,u * K(z,y)) = w. [para(15675(a,1),16181(a,1))]. 16362 K(x,K(y \ 1,z) * u) != w | K(x,u * K(y,z)) = w. [para(15828(a,2),16181(a,1))]. 16363 K(x,K(y,z \ 1) * u) != w | K(x,u * K(z,y)) = w. [para(15830(a,2),16181(a,1))]. 16364 K(x,y * K(z,z * u)) != w | K(x,K(z,u) * y) = w. [para(13078(a,2),16182(a,1))]. 16365 K(x,(T(y,z) / z) * K(u,w)) != v5 | K(x,K(u,w) * (z \ y)) = v5. [para(13152(a,2),16182(a,1))]. 16366 K(x,y * K(z,u * K(w,v5))) != v6 | K(x,K(z,K(w,v5) * u) * y) = v6. [para(16154(a,1),16182(a,1,2,2))]. 16367 K(x * K(y,z),u) != w | K(K(z,y) * x,u) = w. [para(15705(a,1),16184(a,1))]. 16368 K(K(x,y) * z,u) != w | K(K(y,x) * z,u) = w. [para(16266(a,2),16184(a,1))]. 16369 K(T(x / (y \ z),K(u,w)),v5) = K(x / L(y \ z,v6,z / y),v5). [para(11306(a,2),16195(a,2,1,2))]. 16370 K(x,T(y,z * (u \ 1))) != w | K(x,T(y,z / u)) = w. [para(15997(a,2),16244(a,1))]. 16372 K(x,T(y,z / (1 / u))) != w | K(x,T(y,u * z)) = w. [para(14247(a,2),16246(a,1,2))]. 16373 K(x,T(y,z \ u)) != w | K(x,T(y,z * u)) = w. [para(15981(a,2),16246(a,1))]. 16377 T(x,K(y,R(z / u,u,w))) != v5 | T(x,K(y,(u * w) \ (z * w))) = v5. [para(114(a,2),16306(a,1,2,2))]. 16378 T(x,K(y / z,u)) != w | T(x,K(u,z \ y)) = w. [para(7981(a,1),16306(a,1))]. 16379 K(x,T(y,z * (u \ 1))) != w | K(x,T(y,u \ z)) = w. [para(12195(a,2),16310(a,1))]. 16381 K(x,y * K(z,u)) != w | K(x,y * K(u \ z,u)) = w. [para(16277(a,1),16361(a,1))]. 16383 K(K(x \ 1,y) * z,u) != w | K(K(y,x) * z,u) = w. [para(16267(a,2),16367(a,1))]. 16384 K(K(x * y,x) * z,u) != w | K(K(x,y) * z,u) = w. [para(13380(a,2),16368(a,1))]. 16385 K(x,T(y,z / u)) != w | K(x,T(y,u * z)) = w. [para(16002(a,2),16373(a,1))]. 16386 K(x,K(y,z)) * (u * K(x,y)) = u * K(x,T(y,z)). [hyper(236,a,7276,a,b,16115,a)]. 16387 (x * (K(y,K(z,u)) * w)) / (w * K(y,K(z,u))) = x. [hyper(555,a,16117,a)]. 16388 (x * (y * K(z,K(u,w)))) \ (x * ((K(z,K(u,w)) * y) * v5)) = L(v5,K(z,K(u,w)) * y,x). [para(16117(a,1),28(a,2,1)),flip(a)]. 16390 T(K(x,K(y,z * u)) * w,K(x,K(y,z * u))) / w = K(x,K(y,u * z)). [hyper(74,a,7222,a,b,16122,a)]. 16391 (x * y) / T(y,K(z,u)) = y * (T(y,K(z,u)) \ x). [hyper(236,a,1141,a,b,16199,a(flip)),flip(a)]. 16392 K(x / K(y,z),K(y,z)) \ T(u,x / K(y,z)) = (x / K(y,z)) \ (u * (K(y,z) \ x)). [para(121(a,1),16252(a,2,2,2))]. 16393 K(x,K(y,z)) \ T(u,z) = z \ (u * T(z,K(x,y))). [para(7923(a,2),16252(a,1,1))]. 16394 T(x,y) * K(z * K(x,y),z \ x) = ((x / z) \ T(x,y)) * (x / z). [para(16264(a,1),14456(a,1,2))]. 16395 (K(x,y) \ z) \ (u * T(K(x,y) \ z,K(x,y))) = (z * K(y,x)) \ (u * (K(x,y) \ z)). [para(8191(a,1),16318(a,1,1)),flip(a)]. 16396 (K(x,y) / z) * (u / (K(x,y) / z)) != w | (z \ K(x,y)) * (u / (z \ K(x,y))) = w. [para(16320(a,1),13361(a,1))]. 16397 T(x,y \ (z * (u / z))) = T(x,y \ T(u,z)). [hyper(236,a,16261,a(flip),b,16338,a)]. 16401 T(x,y * ((z \ u) * z)) = T(x,y * T(u,z)). [hyper(236,a,16146,a(flip),b,16340,a(flip))]. 16402 K(x * ((y \ z) * y),u) = u / T(u,x * T(z,y)). [para(16401(a,1),4826(a,2,2))]. 16403 K(x,K(y,z) * (u \ y)) != w | K(x,u \ T(y,z)) = w. [para(16347(a,1),6474(a,1))]. 16404 K(x,K(y,z)) * (u * K(x,y)) != u * w | K(x,T(y,z)) = w. [para(16386(a,2),19(a,1))]. 16406 K(x * ((y \ z) * y),u) != w | K(x * T(z,y),u) = w. [para(16402(a,2),4928(a,1))]. 16407 L(K(x,y * K(z,u)),x,w) = (x * K(v5,v6)) \ (T(x,K(z,u) * y) * K(v5,v6)). [para(16123(a,2),16176(a,2,2,1))]. 16408 K(x / T(y \ 1,z),T(u,y)) != w | K(T(y \ 1,z) \ x,u) = w. [para(9343(a,1),16217(a,1))]. 16409 K(((x \ y) \ 1) * z,x / y) * K((x \ y) \ 1,T(z,T(x,u))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(8104(a,1),16222(a,1,1))]. 16410 T(x,K(y,z) * (u * z)) != w | T(x,u * T(z,y)) = w. [para(15661(a,1),16232(a,1))]. 16411 T(x,y * (z * (u / z))) != w | T(x,y * T(u,z)) = w. [para(16337(a,1),16232(a,1))]. 16412 K(x,L(T(y,T(z,u)),w,v5)) != v6 | K(x,L(T(y,z),w,v5)) = v6. [para(7135(a,1),16235(a,1,2,1))]. 16413 K(x,L(T(y,z * u),w,v5)) != v6 | K(x,L(T(y,u * z),w,v5)) = v6. [para(13063(a,1),16235(a,1,2,1))]. 16414 K(x,K(y,z) * (u / y)) != w | K(x,u / T(y,z)) = w. [para(15675(a,1),16242(a,1))]. 16415 K(x,K(y,z * (1 / u))) != w | K(x,K(y,z / u)) = w. [para(16044(a,1),16352(a,1))]. 16416 K(x,y * K(z \ 1,u)) != w | K(x,y * K(z,u)) = w. [para(16154(a,1),16362(a,1))]. 16417 K(x,y * K(z,u \ 1)) != w | K(x,y * K(u,z)) = w. [para(16275(a,1),16362(a,1))]. 16418 K(x,K(y,y * z) * u) != w | K(x,K(y,z) * u) = w. [para(16154(a,2),16364(a,1))]. 16420 K(K(x,x * y) * z,u) != w | K(K(x,y) * z,u) = w. [para(16293(a,1),16384(a,1))]. 16421 K(x,y \ (z * (u / z))) != w | K(x,y \ T(u,z)) = w. [para(16346(a,2),16403(a,1))]. 16422 K(x \ ((y \ z) * y),u) = K((x \ 1) * T(z,y),u). [hyper(16406,a,14109,a),flip(a)]. 16423 K(x \ ((y \ z) * y),u) = K(x \ T(z,y),u). [hyper(236,a,14109,a(flip),b,16422,a)]. 16424 K(x \ T(y * z,y),u) = K(x \ (z * y),u). [para(13(a,1),16423(a,1,1,2,1)),flip(a)]. 16425 T(x,y \ ((z \ u) * z)) = (x * w) / (K(y \ T(u,z),x) * w). [para(16423(a,1),5354(a,1,2,1)),flip(a)]. 16427 K(x,T(y \ ((z \ u) * z),w)) = ((w * x) / w) / ((w * (x * K(y \ T(u,z),x))) / w). [para(16423(a,1),9124(a,1,2,1,2,2)),flip(a)]. 16430 T(x,K(y,z \ u) * (w * (z \ T(u,y)))) != v5 | T(x,w * T(z \ T(u,y),y)) = v5. [para(7434(a,1),16410(a,1,2,1))]. 16431 T(x,(y * z) * (u / (z * y))) != w | T(x,K(y,z) * T(u,z * y)) = w. [para(11049(a,1),16411(a,1,2))]. 16432 K(x,K(y * z,u) * (w / ((y \ 1) \ z))) != v5 | K(x,w / T((y \ 1) \ z,u)) = v5. [para(14050(a,1),16414(a,1,2,1))]. 16433 K(K(x,y * x) * z,u) != w | K(K(x,y) * z,u) = w. [para(6605(a,2),16420(a,1,1,1))]. 16434 K(x,T(y / ((z \ u) * z),z \ u)) != w | K(x,u \ T(y,z)) = w. [para(15441(a,2),16421(a,1))]. 16435 K(x,L(T((1 / y) \ z,y * u),y \ 1,u)) = K(x,(u * z) / (u * (1 / y))). [hyper(236,a,15020,a(flip),b,16029,a(flip))]. 16436 K(x,K(y,z)) * K(x,z * T(y,u)) != w | K(x,T(y,u) * z) = w. [para(16045(a,1),7966(a,1,2)),flip(b)]. 16437 K(x,y * T(z \ 1,u)) * K(x,K(y,z)) = K(x,T(z \ 1,u) * y). [para(9249(a,1),16054(a,1,2))]. 16438 K(x,y \ T(z,u)) * K(x,K(y,z)) = K(x,T(z,u) * (y \ 1)). [hyper(236,a,14060,a,b,16061,a)]. 16439 K(x,y \ T(z,u)) * K(x,K(y,z)) = K(x,T(z,z * u) / y). [para(13087(a,1),16061(a,1,1))]. 16440 T((x * (K(y,K(z,u)) * w)) / (w * K(y,K(z,u))),w) = T(x,K(y,K(z,u)) * w). [hyper(236,a,32,a,b,16131,a)]. 16441 (K(x,y) * z) * K(z / K(y,x),u) = T(K(y,x) \ z,u). [para(5260(a,1),16135(a,1,1))]. 16444 L(x,y,T(z * K(u,w),u \ z)) = L(x,y,T(u,w) * (z / u)). [para(16136(a,1),13502(a,1,3))]. 16445 T(K(x,y) * z,T(z,u)) = (z * (K(x,y) * z)) / z. [para(7281(a,1),16228(a,2,1,2))]. 16447 T(K(x,y) * z,T(z,u)) = z * K(x,y). [hyper(236,a,13313,a(flip),b,16445,a)]. 16450 T(x / T(y,K(z,u)),y * K(u,z)) = y \ T(x,K(z,u)). [para(16(a,1),16257(a,1,2,1)),flip(a)]. 16451 T(x * T(y,x * K(z,u)),K(z,u)) = y * T(x,K(z,u)). [para(16262(a,1),7983(a,1,1))]. 16453 K(((x \ y) * x) \ z,u) = K((y \ z) * K(y,x),u). [hyper(236,a,15798,a(flip),b,16272,a(flip))]. 16454 K(((x \ y) * x) \ z,u) = K(T(y,x) \ z,u). [hyper(236,a,16294,a(flip),b,16453,a)]. 16455 K(x,K(y,z) * (u * y)) = K(x,u * ((z \ y) * z)). [hyper(13176,a,16279,a)]. 16456 K(x,y * ((z \ u) * z)) = K(x,y * T(u,z)). [hyper(16243,a,16455,a),flip(a)]. 16457 K(x,y * ((z \ u) * z)) != w | K(x,y * T(u,z)) = w. [para(16455(a,1),16243(a,1))]. 16458 K(x,y * ((z / u) * K(u \ 1,z))) = K(x,y * T(z / u,z)). [para(5151(a,1),16456(a,1,2,2))]. 16459 K(x,T(1 / (y * z),y)) = K(x,1 / (z * y)). [hyper(236,a,5492,a(flip),b,16283,a)]. 16460 K(x,y / (y * (y * z))) = K(x,1 / (z * y)). [hyper(8564,a,16459,a)]. 16462 K(x / (x / y),z * ((x / y) / x)) = K(y,T(((x / y) / x) * z,x)). [hyper(13293,a,16287,a)]. 16463 K(x * ((y \ z) * y),u) = K(x * (y * (z / y)),u). [hyper(236,a,16271,a(flip),b,16296,a(flip))]. 16464 K(x * (y * ((y * z) / y)),u) = K(x * (z * y),u). [para(13(a,1),16463(a,1,1,2,1)),flip(a)]. 16465 K(x * (y * (z / y)),u) != w | K(x * T(z,y),u) = w. [para(16463(a,1),16406(a,1))]. 16466 K(x * (T(y,z) * z),u) = K(x * (z * y),u). [para(163(a,1),16464(a,1,1,2,2)),flip(a)]. 16467 T(x,y * (T(z,u) * u)) = (x * w) / (K(y * (u * z),x) * w). [para(16466(a,1),5354(a,1,2,1)),flip(a)]. 16468 K(x \ (y * (z / y)),u) = K((x \ 1) * T(z,y),u). [hyper(16465,a,14109,a),flip(a)]. 16469 K(x \ (y * (z / y)),u) = K(x \ T(z,y),u). [hyper(236,a,14109,a(flip),b,16468,a)]. 16471 K((x \ y) \ T(z,u),L(w,y,x)) = K(y \ (x * (u * (z / u))),w). [hyper(236,a,14569,a(flip),b,16469,a(flip))]. 16472 T(L(K(x,y),z \ u,z),u / z) = u \ (z * (K(x,y) * (z \ u))). [hyper(236,a,755,a(flip),b,16333,a)]. 16473 (K(x,y) * z) * K(z * K(x,y),u) = T(K(y,x) \ z,u). [para(7547(a,1),16441(a,1,2,1))]. 16474 T(x / T(y,K(z,u)),K(z,u) \ y) = y \ T(x,K(z,u)). [hyper(16230,a,16450,a)]. 16475 T(x / T(y,K(z,u)),y / K(z,u)) = y \ T(x,K(z,u)). [para(7547(a,2),16450(a,1,2))]. 16476 T((x / y) * K(y,K(z,u)),y * K(u,z)) = y \ T(x,K(z,u)). [para(7972(a,2),16450(a,1,1))]. 16477 (K(x,K(y,z)) * u) * K(u * K(K(y,z),x),w) = T(K(x,K(y,z)) \ u,w). [para(7936(a,1),16473(a,1,1,1))]. 16478 (K(x,y) * z) * K(z,y \ 1) = T(K(y,x) \ z,y \ 1). [para(9654(a,1),16473(a,1,2))]. 16479 T(R(x * K(K(y,z),u),K(w,v5),w),K(y,z) \ u) = u \ T(x * u,K(y,z)). [para(7657(a,2),16474(a,1,1))]. 16480 T(x * (T(x,K(y,z)) \ u),x / K(y,z)) = x \ T(u * x,K(y,z)). [para(16391(a,1),16475(a,1,1))]. 16481 T(K(x,y) \ z,x \ 1) = K(y,x) * T(z,x \ 1). [hyper(6258,a,16478,a),flip(a)]. 16482 T(K(x,y) * z,y \ 1) = K(x,y) * T(z,y \ 1). [para(5260(a,1),16481(a,1,1))]. 16483 K(x,K(y,L(z / u,u,w))) = K(x,K(y,(w * z) / (w * u))). [hyper(236,a,16042,a,b,16060,a)]. 16484 K(x,K((y \ z) / u,L(w,u,y))) = K(x,K(w,z / (y * u))). [hyper(16099,a,16067,a)]. 16485 K(x,K(y,L(z,u,w)) * (w * u)) = K(x,w * (u * K(y \ 1,z))). [hyper(15829,a,16178,a)]. 16486 K(x / y,(y \ T(x,y)) \ z) = K(y \ x,(y * z) / T(x,y)). [hyper(16290,a,13451,a(flip)),flip(a)]. 16487 K(x,L(T(y,z / u),w,v5)) != v6 | K(x,L(T(y,u \ z),w,v5)) = v6. [para(8151(a,1),16412(a,1,2,1))]. 16488 K(x,K(y,(z * (u * w)) / (z * w))) = K(x,K(y,L(u,w,z))). [para(15(a,1),16483(a,1,2,2,1)),flip(a)]. 16489 K(x,K(T(y,z) / u,L(w,u,z))) = K(x,K(w,(y * z) / (z * u))). [para(32(a,2),16484(a,1,2,1,1))]. 16490 K(x,x * y) * K(x * y,T(x,z * u)) = K(x,K(y,z \ u)). [hyper(5286,a,15983,a)]. 16491 K((x * (y \ 1)) \ z,T(u,y \ x)) = K(z / (x * (1 / y)),u). [hyper(16314,a,16020,a)]. 16492 K(x,K(y,T(z,x) \ u)) \ K(x,y * (u / z)) = K(x,(u / T(z,x)) * y). [hyper(72,a,7688,a(flip),b,16081,a)]. 16493 K(x,K(y,z \ u)) * K(x,y * (u / z)) != w | K(x,(u / z) * y) = w. [para(16081(a,1),7966(a,1,2)),flip(b)]. 16494 T(x,y \ ((z \ u) * z)) = T(x,y \ T(u,z)). [hyper(236,a,5354,a(flip),b,16425,a)]. 16495 K(x,y \ T(z,u)) * K(x,K(y,z)) != w | K(x,T(z,u) / y) = w. [para(16438(a,2),14282(a,1))]. 16496 K(x,T(y,y * z) / u) = K(x,T(y,z) / u). [hyper(236,a,16061,a(flip),b,16439,a(flip))]. 16497 K(x,y * ((z / u) * K(u \ 1,z))) = K(x,y * (u \ z)). [hyper(236,a,13134,a(flip),b,16458,a)]. 16498 T(x,y * (T(z,u) * u)) != w | T(x,y * (u * z)) = w. [para(16467(a,2),5356(a,1))]. 16499 T(x * K(y,K(z,u)),y * K(u,z)) = y \ T(x * y,K(z,u)). [para(15(a,1),16476(a,1,1,1))]. 16500 T(L(x * K(y,x),z,u) * K(y,K(w,v5)),y * K(v5,w)) = y \ T(y * L(x,z,u),K(w,v5)). [para(5038(a,2),16476(a,1,1,1))]. 16501 K(x,K(x * y,z * u)) = K(x,K(y,z \ u)). [hyper(8043,a,16490,a)]. 16502 K(x,K(y,z \ u)) = K(x,K(y,z * u)). [hyper(9226,a,16501,a),flip(a)]. 16503 K(x,K(y,z / u)) = K(x,K(y,z * u)). [hyper(16080,a,16502,a)]. 16504 K(x,K(y,z \ u)) = K(x,K(y,u * z)). [hyper(9287,a,16502,a)]. 16506 K(x,K(y,z * u)) * K(x,y * (z \ u)) = K(x,(z \ u) * y). [para(16502(a,1),13238(a,1,1))]. 16507 K(x,K(y,z \ u)) != w | K(x,K(y,u * z)) = w. [para(16502(a,2),16073(a,1))]. 16508 K(x,K(y,T(x,z) / u)) = K(x,K(y,u)). [hyper(236,a,9202,a(flip),b,16503,a)]. 16509 K(x,K(y,z * (u * z))) != w | K(x,K(y,u)) = w. [para(16503(a,1),9283(a,1))]. 16510 x * (K(y,K(z \ u,z * w)) * K(w \ z,y * (u / z))) = x * K(w \ z,(u / z) * y). [para(16503(a,1),13249(a,1,2,1))]. 16511 K(x,y * (z / u)) * K(x,K(y,u * z)) = K(x,(z / u) * y). [para(16504(a,1),16248(a,1,2))]. 16512 (T(x,y) / z) * K(x,K(u,z)) = T(T(x,y) / z,K(u,x)). [para(16508(a,1),7893(a,1,2))]. 16514 T(x,y) / T(z,K(x,u)) = T(T(x,y) / z,K(u,x)). [hyper(7915,a,16512,a)]. 16515 T(x,y) / T(z,K(x,u)) = T(T(x,y) / z,K(x,u)). [hyper(236,a,7981,a,b,16514,a)]. 16516 T(T(K(x,y) * z,K(x,y)) / u,K(K(x,y) * z,w)) = (z * K(x,y)) / T(u,K(K(x,y) * z,w)). [para(7222(a,1),16515(a,1,1)),flip(a)]. 16517 T(x * K(y,K(z,u)),K(z,u) * y) = y \ T(x * y,K(z,u)). [hyper(16263,a,16499,a)]. 16518 K(x,(y \ z) * u) / (x \ K(x,u * (y \ z))) = T(x,K(u,y * z)). [hyper(74,a,16506,a(flip),b,4857,a)]. 16519 T(K(x,K(y,z)) * u,K(y,z) * x) = x \ T(u * x,K(y,z)). [para(16057(a,2),16517(a,1,1))]. 16520 K(L(x,y,z),T(T(u,y * z),y)) = K((z * (x * y)) / (z * y),u). [para(38(a,1),15994(a,1,2))]. 16522 K(x,L((y / z) \ K(u,T(T(w,z),v5)),y / z,z)) = K(x,T((z * K(u,T(w,v5))) / y,z \ y)). [para(8106(a,1),16005(a,2,2,1,1))]. 16523 K(x,K(y,z) * (u \ (z \ y))) = K(x,u \ (y / z)). [hyper(16365,a,16351,a)]. 16524 L(K(x \ y,z),u,x / y) = K(T(1 / (y \ x),K(w,v5)),z). [hyper(236,a,6313,a(flip),b,16369,a),flip(a)]. 16525 L(K(x,y),z,u / (u * x)) = K(T(1 / ((u * x) \ u),K(w,v5)),y). [para(13(a,1),16524(a,1,1,1))]. 16526 K(x \ (y * (z * (u / z))),w) = K(x \ (y * T(u,z)),w). [hyper(236,a,14569,a(flip),b,16471,a(flip))]. 16527 K(x \ (y * T(z * u,u)),w) = K(x \ (y * (u * z)),w). [para(15(a,1),16526(a,1,1,2,2,2)),flip(a)]. 16528 K(x,y \ (z * (u * (w / u)))) = v5 / (K(y \ (z * T(w,u)),x) * v5). [para(16526(a,1),5266(a,1,2,1)),flip(a)]. 16529 K(x \ (y * (((z * u) \ z) \ z)),w) = K(x \ (y * ((u \ 1) * ((z * u) / (u \ 1)))),w). [para(6375(a,1),16526(a,2,1,2,2)),flip(a)]. 16530 T(L(K(x,y),z / u,u),z / u) = z \ (u * (K(x,y) * (u \ z))). [para(11122(a,2),16472(a,1,1))]. 16531 K(x,y * (z * K(u \ 1,w))) = K(x,y * (z * K(u,w))). [hyper(236,a,16178,a(flip),b,16485,a(flip))]. 16532 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * (u * K(u,z))). [hyper(236,a,14162,a,b,16531,a(flip)),flip(a)]. 16533 K(x,y * (((z * (u \ 1)) / z) \ 1)) = K(x,y * T(u,z)). [para(4887(a,2),16532(a,2,2,2))]. 16534 K(x,y / ((z * (u \ 1)) / z)) = K(x,y * T(u,z)). [hyper(14282,a,16533,a)]. 16535 K(x,y / T(z \ 1,u)) = K(x,y * T(z,u)). [hyper(15775,a,16534,a)]. 16537 K(x,y * T(z,z * (x * y))) = K(x,z * y). [hyper(14297,a,16535,a),flip(a)]. 16538 K(x,T(y / T(z \ 1,u),w)) = K(T(x,w),y * T(z,u)). [hyper(7823,a,16535,a)]. 16539 K(x,y * T(1 / z,u)) = K(x,y / T(z,u)). [para(65(a,1),16535(a,1,2,2,1)),flip(a)]. 16540 K(x,y * T(z,x * y)) = K(x,z * y). [hyper(13174,a,16537,a)]. 16541 T(x,y * T(z,x * y)) = K(x,z * y) * x. [para(16540(a,1),4897(a,2,1))]. 16542 K(x,y * T(1 / z,(u * (w \ 1)) \ v5)) = K(x,y / T(z,(u * (1 / w)) \ v5)). [para(4611(a,1),16539(a,1,2,2))]. 16543 T(x,y * T(z,x * y)) = T(x,z * y). [hyper(236,a,4897,a,b,16541,a)]. 16544 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(236,a,15657,a,b,16543,a(flip)),flip(a)]. 16545 K(x,T(y / T(z \ 1,u),w)) != v5 | K(x,T(y * T(z,u),w)) = v5. [para(16538(a,2),7823(a,1))]. 16546 K(x,L(T(y,z \ u),w,v5)) = K(x,L(T(y,z * u),w,v5)). [hyper(16487,a,16029,a)]. 16547 K(x,L(T(y,z / u),w,v5)) = K(x,L(T(y,u \ z),w,v5)). [hyper(16487,a,xx),flip(a)]. 16548 K(x \ (y * (z * (y \ x))),u) = K(z,L(T(u,y * x),x,y)). [hyper(236,a,14568,a,b,16546,a(flip)),flip(a)]. 16549 K(x,y \ T(z,u)) * K(x,K(z,y)) != w | K(x,T(z,u) / y) = w. [para(7937(a,1),16495(a,1,2))]. 16550 K((x * (y * z)) / (x * z),u) = K((z * x) \ ((z * y) * x),u). [hyper(236,a,15472,a(flip),b,16520,a(flip))]. 16551 K(L(x,y,z),T(T(u,y),z * y)) = K((y * z) \ ((y * x) * z),u). [hyper(236,a,9798,a,b,16550,a(flip)),flip(a)]. 16552 L(K(x,y),z,u / (u * x)) = K(1 / ((u * x) \ u),y). [hyper(236,a,16158,a(flip),b,16525,a)]. 16553 L(K(x,y),z,u / (u * x)) = K(x,y). [hyper(236,a,6311,a(flip),b,16552,a)]. 16554 L(K(x,y),z,u / (u * x)) != w | K(x,y) = w. [para(16552(a,2),8414(a,1))]. 16556 K(x,y / (((y / z) / u) * z)) = y \ (z * (K(x,u) * (z \ y))). [hyper(236,a,15446,a(flip),b,16530,a(flip)),flip(a)]. 16557 K(x,(y / x) / ((((y / x) / y) / z) * y)) = K(x,z). [hyper(10308,a,16556,a(flip)),flip(a)]. 16558 K(x,y / (((((y / x) / y) / z) * y) * x)) = K(x,z). [hyper(236,a,7207,a(flip),b,16557,a(flip)),flip(a)]. 16559 K(x,1 / ((((y / x) / y) / z) * x)) = K(x,z). [hyper(236,a,10983,a(flip),b,16558,a(flip)),flip(a)]. 16561 K(x,y / (((z / x) / z) * x)) = K(x,y). [hyper(236,a,10986,a(flip),b,16559,a(flip)),flip(a)]. 16562 K(x,y / (x * ((z / x) / z))) = K(x,y). [hyper(10455,a,16561,a)]. 16563 L(K(x,y / x),y,(z / x) / z) = K(x,y * ((z / x) / z)). [hyper(236,a,15377,a,b,16562,a(flip)),flip(a)]. 16564 K(x,L(T(T(y,z),u * z),z,u)) = K((z * u) \ ((z * x) * u),y). [hyper(11595,a,16551,a)]. 16565 K(x,(T(y,z / u) * u) \ z) = K(x,T((y * u) \ z,u \ z)). [hyper(9465,a,16008,a),flip(a)]. 16566 K(x,y / (T(z,y / u) * u)) * K(x,K(y,T(z,y / u) * u)) = K(x,T((z * u) \ y,u \ y)). [hyper(9412,a,16565,a)]. 16567 K(x,(T(y,z / a(u \ 1,u,w)) * a(u \ 1,u,w)) \ z) = K(x,T((a(u \ 1,u,w) * y) \ z,a(u \ 1,u,w) \ z)). [para(14217(a,2),16565(a,2,2,1,1))]. 16568 K(x,((y \ z) * y) * u) = K(x,K(z,u)) * K(x,u * T(z,y)). [para(16456(a,1),16106(a,1,2)),flip(a)]. 16569 K(x,((y \ z) * y) * u) = K(x,T(z,y) * u). [hyper(236,a,16046,a(flip),b,16568,a)]. 16570 K(x,((y \ z) * y) * u) != w | K(x,T(z,y) * u) = w. [para(16568(a,2),16436(a,1))]. 16571 K(x,T(y * z,y) * u) = K(x,(z * y) * u). [para(13(a,1),16569(a,1,2,1,1)),flip(a)]. 16572 L(x,y,T(z * K(u,w),T(w,u) \ z)) = L(x,y,w * (z / T(w,u))). [para(16326(a,1),13502(a,1,3))]. 16573 T(x,y) * K(z,T(z \ x,y)) = ((x / z) \ T(x,y)) * (x / z). [para(16265(a,1),16394(a,1,2))]. 16574 ((x / y) \ T(x,z)) * (x / y) = y * (T(x,z) / y). [hyper(11195,a,16573,a),flip(a)]. 16575 (x * K(y,z)) * (y / x) = x * (T(y,z) / x). [para(14441(a,1),16574(a,1,1))]. 16576 (x * K(y,z)) \ (x * (T(y,z) / x)) = y / x. [hyper(80,a,16575,a)]. 16577 L(x / y,K(x,z),y) = x / y. [hyper(14477,a,16576,a)]. 16579 K(x,T(((y / x) / y) * z,y)) = K(x,T(z * ((y / x) / y),y)). [hyper(8417,a,16462,a),flip(a)]. 16580 T(K(x,K(y,z)) * u,x / K(y,z)) = x \ T(u * x,K(y,z)). [para(7963(a,1),16480(a,1,1))]. 16581 T(x,K(y \ z,u)) = T(x,K(u,y * z)). [hyper(236,a,13246,a(flip),b,16518,a(flip)),flip(a)]. 16582 T(x,K(y,z \ u)) = T(x,K(y,z * u)). [hyper(8002,a,16581,a)]. 16583 T(x,K(y,z * u)) != w | T(x,K(y,z \ u)) = w. [para(16581(a,1),8002(a,1))]. 16584 T(x,K(y,z / u)) = T(x,K(y,u * z)). [hyper(16305,a,16582,a)]. 16585 T(T(x,K(y,z * u)),(z \ u) * y) != w | T(x,y * (z \ u)) = w. [para(16582(a,1),13095(a,1,1))]. 16586 T(x,K(y,z \ u)) != w | T(x,K(y,u * z)) = w. [para(16582(a,2),16307(a,1))]. 16587 T(T(x,K(y,z * u)),y * (u / z)) = T(x,(u / z) * y). [para(16584(a,1),13064(a,1,1))]. 16588 K(x,y \ (z * (u * (w / u)))) = K(x,y \ (z * T(w,u))). [hyper(236,a,5266,a(flip),b,16528,a)]. 16589 K(x,L(T(((y \ z) \ 1) \ y,z * (y / z)),z * (y / z),u)) = K(x,(u * ((y \ z) \ 1)) \ (u * T(y,z))). [hyper(236,a,11608,a,b,16588,a(flip)),flip(a)]. 16590 K(x / (y * (1 / z)),u) != w | K(x / (y * (z \ 1)),u) = w. [para(16491(a,1),16003(a,1))]. 16591 T(x,K(y,z) * T(u,z * y)) = T(x,(y * z) * (u / (z * y))). [hyper(16431,a,xx)]. 16593 K(L((x \ y) * K(z,u),K(u,z),x),w) != v5 | K((x * K(u,z)) \ y,w) = v5. [para(7547(a,1),16245(a,1,1,1))]. 16594 K(x,(y * (z \ 1)) \ u) * K(x,K(u,z * y)) = K(x,u / (y * (z \ 1))). [para(16502(a,1),16317(a,1,2))]. 16596 (K(x,K(y,z)) * u) * K(u * K(y,K(z,x)),w) = T(K(x,K(y,z)) \ u,w). [para(7886(a,1),16477(a,1,2,1,2))]. 16598 T(R(x * K(y,K(z,u)),K(w,v5),w),K(y,z) \ u) = u \ T(x * u,K(y,z)). [para(7886(a,1),16479(a,1,1,1,2))]. 16599 T(R(K(x,K(y,z)) \ u,K(w,v5),w),K(x,y) \ z) = z \ T(u * z,K(x,y)). [para(16111(a,2),16598(a,1,1,1))]. 16600 T(K(x,K(y,z)) \ u,K(x,y) \ z) = z \ T(u * z,K(x,y)). [para(342(a,1),16599(a,1,1))]. 16602 ((x * (K(y,z) * u)) / x) / ((x * (u * K(y,z))) / x) = K(z,K(u,y)). [para(7574(a,1),16056(a,2,2))]. 16604 ((x * (K(y,z) * u)) / x) / ((x * (u * K(y,z))) / x) != w | K(y,K(z,u)) = w. [para(16602(a,2),7939(a,1))]. 16605 K(K(x,y) * z,T(z,u)) = K(x,K(y,z)). [hyper(16604,a,13318,a),flip(a)]. 16606 K(x,K(y,z)) * K(x \ (y * z),T(y \ x,u)) = K(x \ (y * T(z,u)),x / y). [hyper(7969,a,16065,a)]. 16608 x * K(y * K(z,u),K(u,z) * (y \ x)) = (K(z,u) * y) * (x / (K(z,u) * y)). [para(5260(a,1),16273(a,1,2,2))]. 16610 T(x,K(y,K(z,u)) * w) = T(x,w). [para(16387(a,1),16440(a,1,1)),flip(a)]. 16611 T(x,y * T(z,K(u,w))) = T(x,y * z). [hyper(16232,a,16610,a)]. 16612 T(x,y * K(z,K(u,w))) = T(x,y). [hyper(16130,a,16610,a)]. 16613 K(x,K(y,K(z,u)) * w) = x \ T(x,w). [hyper(72,a,16610,a(flip),b,4887,a(flip)),flip(a)]. 16614 T(x,K(y,T(z,u)) * w) = T(x,K(y,z) * w). [para(7295(a,1),16610(a,1,2))]. 16615 T(x,T(y,T(z,u)) * w) = T(x,T(y,z) * w). [para(8964(a,1),16610(a,1,2))]. 16616 T(x,(K(y,z) * u) * w) = T(x,(u * K(y,z)) * w). [para(11049(a,1),16610(a,1,2)),flip(a)]. 16617 T(x,y * K(z,K(u,w))) = K(x,y) * x. [hyper(236,a,4897,a(flip),b,16612,a)]. 16618 K(x,((y / K(z,u)) * w) / ((y / K(z,u)) * K(y,K(v5,u)))) = K(x,T(K(y,K(v5,u)) * w,y / K(z,u))). [para(16612(a,1),12210(a,1,2)),flip(a)]. 16620 T(x,y * T(z,T(u,w))) = T(x,y * T(z,u)). [para(7135(a,1),16611(a,1,2,2))]. 16621 K(x,y * (T(z,u * w) / (u * T(w,K(v5,v6))))) = K(x,y * ((u * T(w,K(v5,v6))) \ z)). [para(16611(a,1),13159(a,1,2,2,1))]. 16623 K(x,K(y,K(z,u)) * w) = K(x,w). [hyper(236,a,4829,a,b,16613,a)]. 16624 K(x,K(y,K(z,u)) * w) != v5 | K(x,w) = v5. [para(16613(a,2),4956(a,1))]. 16625 K(x,y / T(z,K(u,w))) = K(x,y / z). [hyper(16414,a,16623,a)]. 16626 K(x,y \ T(z,K(u,w))) = K(x,y \ z). [hyper(16403,a,16623,a)]. 16627 K(x,y * K(z,K(u,w))) = K(x,y). [hyper(16362,a,16623,a)]. 16628 K(x,y * T(z,K(u,w))) = K(x,y * z). [hyper(16243,a,16623,a)]. 16629 K(x,K(y,K(z,u)) \ w) = K(x,w). [hyper(236,a,15679,a,b,16623,a(flip)),flip(a)]. 16630 K(x,y * (K(z,u) * w)) = K(x,y * (w * K(z,u))). [hyper(236,a,16300,a(flip),b,16623,a(flip)),flip(a)]. 16631 K(x,T(y,K(z,u)) \ w) = K(x,y \ w). [hyper(236,a,15680,a(flip),b,16623,a(flip)),flip(a)]. 16632 K(K(x,K(y,z)) * u,w) = 1 / K(w,u). [para(16623(a,1),5102(a,1,2)),flip(a)]. 16633 K(x,T(y,K(z,u)) / w) = K(x,y / w). [para(5696(a,1),16623(a,1,2))]. 16634 K(x,K(y,T(z,u)) * w) = K(x,K(y,z) * w). [para(7295(a,1),16623(a,1,2))]. 16636 K(x,y * K(z,T(u,w))) = K(x,y * K(z,u)). [para(16386(a,1),16623(a,1,2))]. 16638 K(x,y * (z * K(u,K(w,v5)))) = K(x,y * z). [para(11556(a,1),16627(a,1,2))]. 16639 K(x,K(y,T(z,u)) \ w) = K(x,K(y,z) \ w). [para(10511(a,1),16629(a,1,2))]. 16640 T(x,y * K(z,K(u,w))) != v5 | T(x,y) = v5. [para(16617(a,2),4898(a,1))]. 16641 K(x,y / T(z,u / w)) = K(x,y / T(z,w \ u)). [para(8329(a,1),16625(a,1,2,2)),flip(a)]. 16642 K(x,y \ T(z,u / w)) = K(x,y \ T(z,w \ u)). [para(8329(a,1),16626(a,1,2,2)),flip(a)]. 16643 K(x,y * T(z,T(u,w))) = K(x,y * T(z,u)). [para(7135(a,1),16628(a,1,2,2))]. 16644 K(x,y * (z * (u * K(z,w)))) = K(x,y * (T(z,w) * u)). [para(8652(a,1),16628(a,1,2,2))]. 16645 K(x,y * T(z,u * w)) = K(x,y * T(z,w * u)). [para(13063(a,1),16628(a,1,2,2))]. 16646 K(x,y * (K(z,u) * (w \ 1))) = K(x,y * (w \ K(z,u))). [para(14104(a,1),16628(a,1,2,2))]. 16647 K(x,(L(K(y,z),u,w) * v5) \ v6) = K(x,(v5 * L(K(y,z),u,w)) \ v6). [para(11690(a,1),16631(a,1,2,1)),flip(a)]. 16648 K(x,(K(y,z) * u) \ w) != v5 | K(x,(u * K(y,z)) \ w) = v5. [para(16631(a,1),13223(a,1))]. 16649 K(x,(K(y,z) * (u \ 1)) \ w) = K(x,(u \ K(y,z)) \ w). [para(14104(a,1),16631(a,1,2,1))]. 16650 K(K(x,K(y,z)) * u,w) = K(u,w). [hyper(236,a,5102,a(flip),b,16632,a)]. 16651 K(K(x,K(y,z)) * u,w) != v5 | K(u,w) = v5. [para(16632(a,2),5106(a,1))]. 16652 K(x * K(y,K(z,u)),w) = K(x,w). [hyper(16183,a,16650,a)]. 16653 K(T(x,K(y,z)) * u,w) = K(x * u,w). [para(4906(a,1),16650(a,1,1))]. 16654 K(T(x,K(y,z)) \ u,w) = K(x \ u,w). [para(5178(a,1),16650(a,1,1)),flip(a)]. 16655 K(x \ T(y,K(z,u)),w) = K(x \ y,w). [para(5697(a,1),16650(a,1,1))]. 16656 K(K(x,T(y,z)) * u,w) = K(K(x,y) * u,w). [para(7295(a,1),16650(a,1,1))]. 16657 K(T(x,T(y,z)) * u,w) = K(T(x,y) * u,w). [para(8964(a,1),16650(a,1,1))]. 16658 K((K(x,y) * z) * u,w) = K((z * K(x,y)) * u,w). [para(11049(a,1),16650(a,1,1)),flip(a)]. 16659 K(x / T(y,K(z,u)),w) = K(x / y,w). [para(16114(a,1),16650(a,1,1))]. 16660 K(x * (K(y,z) * u),w) = K(x * (u * K(y,z)),w). [para(10676(a,1),16652(a,1,1)),flip(a)]. 16661 K(x \ (K(y,z) * u),w) = K(x \ (u * K(y,z)),w). [para(14398(a,1),16652(a,1,1)),flip(a)]. 16662 (K(x,K(y,z)) * u) * K(u,w) = T(K(x,K(y,z)) \ u,w). [para(16652(a,1),16596(a,1,2))]. 16663 K(x,T(y,T(z,u)) / w) = K(x,T(y,z) / w). [para(7135(a,1),16633(a,1,2,1))]. 16665 K(T(x / T(y,z),y) * u,w) = K((T(y,z) \ x) * u,w). [para(9759(a,1),16653(a,1,1,1))]. 16666 K(T(x,T(y,z)) \ u,w) = K(T(x,y) \ u,w). [para(7135(a,1),16654(a,1,1,1))]. 16667 K(x \ T(y,T(z,u)),w) = K(x \ T(y,z),w). [para(7135(a,1),16655(a,1,1,2))]. 16668 K((x * y) \ z,T(u,y)) = K(((x \ z) * x) / T(y * x,K(w,v5)),u). [hyper(15418,a,16659,a(flip))]. 16669 K(x / (K(y,z) * (u \ 1)),w) = K(x / (u \ K(y,z)),w). [para(14104(a,1),16659(a,1,1,2))]. 16670 K(x,y * T(z,K(u,w))) != v5 | K(x,y * z) = v5. [para(5700(a,1),16624(a,1,2))]. 16671 K(x,y \ T(z,K(u,w))) != v5 | K(x,y \ z) = v5. [para(5697(a,1),16624(a,1,2))]. 16672 K(x,y * K(z,K(u,w))) != v5 | K(x,y) = v5. [para(7337(a,1),16624(a,1,2))]. 16673 K(x,K(y,K(z,u)) \ w) != v5 | K(x,w) = v5. [para(7964(a,2),16624(a,1,2))]. 16674 K(x,T(y,T(z,u)) * w) != v5 | K(x,T(y,z) * w) = v5. [para(8964(a,1),16624(a,1,2))]. 16675 K(x,(y * K(z,u)) \ w) != v5 | K(x,(K(z,u) * y) \ w) = v5. [para(9837(a,1),16624(a,1,2))]. 16676 K(x,y / T(z,K(u,w))) != v5 | K(x,y / z) = v5. [para(16114(a,1),16624(a,1,2))]. 16677 K(x,y * (K(z,u) * w)) != v5 | K(x,y * (w * K(z,u))) = v5. [para(16300(a,1),16624(a,1))]. 16678 K(x,y * K(z,T(u,w))) != v5 | K(x,y * K(z,u)) = v5. [para(16386(a,1),16624(a,1,2))]. 16680 T(x,K(y,T(z,u)) * w) != v5 | T(x,K(y,z) * w) = v5. [para(16107(a,1),16640(a,1,2))]. 16681 K(T(x,K(y,z)) * u,w) != v5 | K(x * u,w) = v5. [para(4906(a,1),16651(a,1,1))]. 16682 K(x * K(y,K(z,u)),w) != v5 | K(x,w) = v5. [para(7337(a,1),16651(a,1,1))]. 16683 K(K(x,T(y,z)) * u,w) != v5 | K(K(x,y) * u,w) = v5. [para(7295(a,1),16651(a,1,1))]. 16684 K((x * K(y,z)) \ u,w) != v5 | K((K(y,z) * x) \ u,w) = v5. [para(9837(a,1),16651(a,1,1))]. 16685 K((K(x,y) * z) \ u,w) != v5 | K((z * K(x,y)) \ u,w) = v5. [para(11048(a,1),16651(a,1,1))]. 16686 K(x / T(y,K(z,u)),w) != v5 | K(x / y,w) = v5. [para(16114(a,1),16651(a,1,1))]. 16687 K(x,y / (K(z,u) * w)) != v5 | K(x,y / (w * K(z,u))) = v5. [para(10448(a,1),16672(a,1,2))]. 16688 K(x,y * (z * K(u,w))) != v5 | K(x,y * (K(u,w) * z)) = v5. [para(10676(a,1),16672(a,1,2))]. 16689 K(x,y * (z * K(u,K(w,v5)))) != v6 | K(x,y * z) = v6. [para(11556(a,1),16672(a,1,2))]. 16690 K(x,K(y,T(z,u)) \ w) != v5 | K(x,K(y,z) \ w) = v5. [para(10511(a,1),16673(a,1,2))]. 16691 K(x * (y * K(z,u)),w) != v5 | K(x * (K(z,u) * y),w) = v5. [para(10676(a,1),16682(a,1,1))]. 16692 K(x * (y * K(z,K(u,w))),v5) != v6 | K(x * y,v5) = v6. [para(11556(a,1),16682(a,1,1))]. 16693 T(x,K(y,T(z,u)) * w) = T(x,K(z,y) * w). [hyper(236,a,15661,a,b,16614,a)]. 16694 T(x,K(y * z,u) * w) = T(x,K(z * y,u) * w). [para(13395(a,1),16614(a,1,2,1))]. 16695 T(x,K(y,T(z,u)) * w) != v5 | T(x,K(z,y) * w) = v5. [para(16614(a,2),15799(a,1))]. 16696 T(x,T(y,z) * ((u \ z) * u)) = T(x,((u \ z) * u) * y). [hyper(13120,a,16615,a),flip(a)]. 16697 T(x,T(y,z) * T(z,u)) = T(x,T(z,u) * y). [hyper(13115,a,16615,a),flip(a)]. 16700 K(x,K(y,T(z,u)) * w) = K(x,K(z,y) * w). [hyper(236,a,15675,a,b,16634,a)]. 16701 K(x,K(y,T(z,u)) * w) = K(x,w * K(y,z)). [hyper(236,a,16154,a(flip),b,16634,a)]. 16702 K(x,K(y * z,u) * w) = K(x,K(z * y,u) * w). [para(13395(a,1),16634(a,1,2,1))]. 16703 K(x,K(y,T(z,u)) * w) != v5 | K(x,w * K(y,z)) = v5. [para(16634(a,2),16181(a,1))]. 16704 K(x,y * K(z,u / w)) = K(x,y * K(z,w \ u)). [para(121(a,1),16636(a,1,2,2,2)),flip(a)]. 16705 K(x,y * (K(z,K(u,w)) * v5)) = K(x,y * v5). [para(7249(a,1),16638(a,1,2,2))]. 16706 K(x,y * (z * (u * K(w,K(v5,v6))))) = K(x,y * (z * u)). [para(11556(a,1),16638(a,1,2,2))]. 16707 K(x,y * (K(z,T(u,w)) * v5)) = K(x,y * (K(z,u) * v5)). [para(16107(a,1),16638(a,1,2,2))]. 16708 K(x,K(y,T(z,u)) \ w) = K(x,K(z,y) \ w). [hyper(236,a,15685,a,b,16639,a)]. 16709 K(x,y * T(((z \ u) \ u) \ w,z)) = K(x,y * (w / ((z \ u) \ u))). [hyper(236,a,15755,a(flip),b,16643,a(flip))]. 16710 K(x,y * T(T(z,u) \ w,z)) = K(x,y * (w / T(z,u))). [hyper(236,a,15751,a(flip),b,16643,a(flip))]. 16711 K(x,y * T(z,(u / w) \ 1)) = K(x,y * T(z,u \ w)). [para(8610(a,1),16643(a,1,2,2)),flip(a)]. 16712 K(K(x,T(y,z)) * u,w) != v5 | K(u * K(y,x),w) = v5. [para(16656(a,2),16274(a,1))]. 16713 K(T(x * T(y,z),y) * u,w) = K((T(y,z) * x) * u,w). [hyper(236,a,15891,a(flip),b,16657,a(flip))]. 16714 K(x,y) * (T(x,T(y,z)) \ (z * (x / z))) = K(z,T(x,y) / z). [hyper(236,a,13452,a,b,16663,a(flip)),flip(a)]. 16715 K(x,T(y,z \ (u \ z)) / w) = K(x,T(y,u \ 1) / w). [para(8608(a,1),16663(a,1,2,1))]. 16716 K(T(x,y) \ T(y,z),u) = K(T(y,z) / x,u). [hyper(13428,a,16666,a),flip(a)]. 16718 K(x / (K(y,T(z,u)) * w),T(v5,K(z,y) * w)) = K((K(y,T(z,u)) * w) \ x,v5). [para(16693(a,1),7312(a,1,2))]. 16719 L(K(x,y * K(z,T(u,w))),x,v5) = (x * K(v6,v7)) \ (T(x,K(u,z) * y) * K(v6,v7)). [para(16693(a,1),16407(a,2,2,1))]. 16720 T(x,T(y,z) * ((u \ z) * u)) = T(x,T(z,u) * y). [hyper(236,a,16401,a,b,16697,a(flip)),flip(a)]. 16721 K(x,K(y * z,u) * w) = K(x,K(u,z * y) * w). [para(13017(a,1),16700(a,1,2,1)),flip(a)]. 16722 K(x,y * (K(z,K(u,w)) / (v5 \ 1))) = K(x,y * v5). [para(14503(a,2),16705(a,1,2,2))]. 16723 K(x,y * ((K(z,u) * w) / v5)) = K(x,y * ((w * K(z,u)) / v5)). [para(14807(a,1),16705(a,1,2,2)),flip(a)]. 16724 K(x,y * (z * K(u,T(w,v5)))) = K(x,y * (z * K(u,w))). [para(16386(a,1),16705(a,1,2,2))]. 16726 K(x,y * T(T(z,K(u,w)),v5)) != v6 | K(x,y * T(z,v5)) = v6. [para(38(a,1),16670(a,1,2,2))]. 16727 K(x,y * T(z,T(u,w))) != v5 | K(x,y * T(z,u)) = v5. [para(7135(a,1),16670(a,1,2,2))]. 16728 K(x,y * (K(z,u) * (w / u))) != v5 | K(x,y * (w / T(u,z))) = v5. [para(8192(a,1),16670(a,1,2,2))]. 16730 K(x,y * T(z,u * w)) != v5 | K(x,y * T(z,w * u)) = v5. [para(13063(a,1),16670(a,1,2,2))]. 16731 K(x,y * (K(z,u) * (w \ 1))) != v5 | K(x,y * (w \ K(z,u))) = v5. [para(14104(a,1),16670(a,1,2,2))]. 16732 K(x,y * ((z / u) * K(z,w))) != v5 | K(x,y * (T(z,w) / u)) = v5. [para(14480(a,1),16670(a,1,2,2))]. 16733 K(x,y \ (K(z,u) * w)) != v5 | K(x,y \ (w * K(z,u))) = v5. [para(7396(a,1),16671(a,1,2,2))]. 16734 K(x,y / (K(z,u) \ w)) != v5 | K(x,y / (w / K(z,u))) = v5. [para(121(a,1),16676(a,1,2,2))]. 16735 K((K(x,y) * z) * u,w) != v5 | K((z * K(x,y)) * u,w) = v5. [para(7396(a,1),16681(a,1,1,1))]. 16736 K(x,y * (K(z \ u,z) * w)) = K(x,y * (w * K(u,z))). [hyper(236,a,13184,a(flip),b,16630,a)]. 16737 K(x,y * (((z \ u) * z) * K(w,v5))) = K(x,y * (K(w,v5) * T(u,z))). [hyper(236,a,13230,a(flip),b,16630,a(flip))]. 16738 K(x,((y / z) \ 1) \ T(u,y \ z)) = K(x,u / ((y / z) \ 1)). [hyper(13149,a,16642,a),flip(a)]. 16740 K(x,(y / z) \ T(u,z \ y)) != w | K(x,u / (y / z)) = w. [para(16642(a,1),13148(a,1))]. 16741 K((x * K(y,z)) * T(u,x),w) = K(u * (x * K(y,z)),w). [hyper(236,a,16197,a(flip),b,16658,a(flip))]. 16742 K(x,K(y * z,u) * w) != v5 | K(x,K(u,z * y) * w) = v5. [para(16702(a,1),15676(a,1))]. 16744 K(x,K(y * z,z) * u) != w | K(x,K(z,y) * u) = w. [para(16721(a,2),16418(a,1))]. 16745 K(x,T(y,z \ u) * w) != v5 | K(x,T(y,u / z) * w) = v5. [para(121(a,1),16674(a,1,2,1,2))]. 16746 K(x,y * K(z,u / w)) != v5 | K(x,y * K(z,w \ u)) = v5. [para(8066(a,1),16678(a,1,2,2))]. 16747 T(x,K(y,z / u) * w) != v5 | T(x,K(y,u \ z) * w) = v5. [para(8066(a,1),16680(a,1,2,1))]. 16748 T(x,K(y * z,u) * w) != v5 | T(x,K(z * y,u) * w) = v5. [para(13395(a,1),16680(a,1,2,1))]. 16749 T(x,K(T(y,z),u) * w) != v5 | T(x,K(u,y) * w) = v5. [para(15661(a,1),16680(a,1))]. 16750 K(x,y * (z * T(u,K(w,v5)))) != v6 | K(x,y * (z * u)) = v6. [para(1251(a,1),16689(a,1,2,2))]. 16751 K(x,y * (K(z,K(u,w)) * v5)) != v6 | K(x,y * v5) = v6. [para(7249(a,1),16689(a,1,2,2))]. 16752 K(x,y * (z / (K(u,w) * v5))) != v6 | K(x,y * (z / (v5 * K(u,w)))) = v6. [para(10448(a,1),16689(a,1,2,2))]. 16753 K(x,y * (K(z,T(u,w)) * v5)) != v6 | K(x,y * (K(z,u) * v5)) = v6. [para(16107(a,1),16689(a,1,2,2))]. 16754 K(x,K(y,z) \ u) != w | K(x,K(z,y) \ u) = w. [para(16708(a,1),16690(a,1))]. 16755 K(x,K(y,T(z,u)) \ w) != v5 | K(x,K(z,y) \ w) = v5. [para(16639(a,2),16754(a,1))]. 16756 K(x * (K(y,K(z,u)) * w),v5) = K(x * w,v5). [hyper(16692,a,16660,a(flip)),flip(a)]. 16757 K(x * K(y,z / u),w) != v5 | K(x * K(y,u \ z),w) = v5. [para(9380(a,1),16692(a,1,1,2))]. 16758 K(x * (T(y,K(z,u)) \ w),v5) != v6 | K(x * (y \ w),v5) = v6. [para(16112(a,1),16692(a,1,1,2))]. 16759 K(x * (K(y,T(z,u)) * w),v5) != v6 | K(x * (K(y,z) * w),v5) = v6. [para(16107(a,1),16692(a,1,1,2))]. 16761 K(x * (K(y,T(z,u)) * w),v5) = K(x * (K(y,z) * w),v5). [para(7295(a,1),16756(a,1,1,2))]. 16762 K(x * ((K(y,z) * u) \ w),v5) = K(x * ((u * K(y,z)) \ w),v5). [para(9837(a,1),16756(a,1,1,2)),flip(a)]. 16763 T(x,y * K(z,T(u,w))) != v5 | T(x,K(u,z) * y) = v5. [para(16123(a,1),16695(a,1))]. 16764 K(x,y * (K(z,K(u,w)) / (v5 \ 1))) != v6 | K(x,y * v5) = v6. [para(14503(a,2),16751(a,1,2,2))]. 16765 K(x,y * (z * K(u,T(w,v5)))) != v6 | K(x,y * (z * K(u,w))) = v6. [para(16386(a,1),16751(a,1,2,2))]. 16766 K(x,(y \ K(z,u)) \ w) = K(x,(y * K(u,z)) * w). [hyper(14617,a,16649,a),flip(a)]. 16767 T(K(x,K(y,z)) \ u,w) = K(x,K(y,z)) * T(u,w). [hyper(6258,a,16662,a),flip(a)]. 16769 T(K(x,K(y,z)) * u,w) = K(x,K(y,z)) * T(u,w). [para(7964(a,1),16767(a,1,1))]. 16770 T(K(x,K(y,z)) \ u,w) != v5 | K(x,K(y,z)) \ T(u,w) = v5. [para(16767(a,2),7967(a,1))]. 16771 T(x * K(y,K(z,u)),w) = K(y,K(z,u)) * T(x,w). [para(16111(a,1),16767(a,1,1))]. 16772 T(K(x,K(y,z)) * u,w) = T(u,w) * K(x,K(y,z)). [hyper(236,a,16057,a(flip),b,16769,a)]. 16773 K(x,y * T(K(z,K(u,w)) * v5,v6)) != v7 | K(x,y * T(v5,v6)) = v7. [para(16769(a,2),16751(a,1,2,2))]. 16774 T(K(x,y) * K(z,K(u,w)),v5) = K(z,K(u,w)) * K(x,T(y,v5)). [hyper(236,a,7276,a,b,16771,a)]. 16775 T(x * K(y,K(z,u)),w) = T(x,w) * K(y,K(z,u)). [hyper(236,a,16057,a(flip),b,16771,a)]. 16776 T(K(x,y) * K(z,K(u,w)),v5) = K(x,T(y,v5)) * K(z,K(u,w)). [hyper(8555,a,16775,a(flip)),flip(a)]. 16777 T(x * K(y,K(z,u)),w) / K(y,z) = T(x,w) / T(K(y,z),u). [para(16775(a,2),7957(a,1,1))]. 16778 K(T(x / T(y,z),T(y,u)) * w,v5) = K((T(y,z) \ x) * w,v5). [hyper(236,a,16657,a,b,16665,a(flip)),flip(a)]. 16779 K(x / (y \ K(z,u)),w) = K(x * (y * K(u,z)),w). [hyper(14616,a,16669,a),flip(a)]. 16780 K(T(x \ y,K(x,z)) * (u * K(x,x \ z)),w) = K(((z / (z / x)) \ y) * u,L(w,u \ 1,K(x \ z,x))). [hyper(236,a,15652,a(flip),b,16779,a(flip))]. 16781 T(x,((y \ z) * y) * u) = T(x,T(z,y) * u). [hyper(236,a,16720,a(flip),b,16696,a(flip))]. 16782 T(x,((y * z) \ u) * (T(y,z) * z)) = T(x,T(u,y * z) * K(y,z)). [para(10758(a,1),16781(a,1,2))]. 16783 K(x,y * (z * K(u,w / v5))) = K(x,y * (z * K(u,v5 \ w))). [para(9380(a,1),16706(a,1,2,2,2))]. 16784 K(x,y * (z * (K(u,T(w,v5)) * v6))) = K(x,y * (z * (K(u,w) * v6))). [para(16107(a,1),16706(a,1,2,2,2))]. 16785 K(x,y * (K(z,u / w) * v5)) = K(x,y * (K(z,w \ u) * v5)). [para(121(a,1),16707(a,1,2,2,1,2)),flip(a)]. 16786 K(x,y * K(T(z * T(u,w),u) * v5,v6)) = K(x,K(v6,(T(u,w) * z) * v5) * y). [para(16713(a,2),16275(a,2,2,2)),flip(a)]. 16787 K(x,y * ((z / u) * K(w,T(u,v5)))) = K(x,y * (z / T(u,w))). [para(7555(a,1),16724(a,2,2,2))]. 16788 K(x,y * ((z * (u / z)) \ w)) = K(x,y * ((u \ w) * K(u,z))). [para(11131(a,1),16736(a,1,2,2))]. 16789 K(x * ((K(y,T(z,u)) * w) / L(v5,v5 \ w,K(y,T(z,u)))),v6) = K(x * (K(y,z) * (w / v5)),v6). [para(10740(a,2),16761(a,1,1,2))]. 16791 K(x,y \ z) != u | K(x,(K(w,v5) * (y / K(w,v5))) \ z) = u. [para(16(a,1),16675(a,1,2,1))]. 16792 K(x,y / (z * K(u,w))) = K(x,y * (z \ K(w,u))). [hyper(16687,a,14541,a)]. 16793 K(x,y * (z \ K(u,w))) != v5 | K(x,y / (z * K(w,u))) = v5. [para(14541(a,1),16687(a,1))]. 16794 K(x,y * ((z * u) \ K(w,u))) = K(x,y / (z * T(u,w))). [para(6201(a,1),16792(a,1,2,2)),flip(a)]. 16795 K(x,y * ((z / u) \ K(u,w))) = K(x,y / (z / T(u,w))). [para(7555(a,1),16792(a,1,2,2)),flip(a)]. 16796 K(x,y * (z * K(u,w))) != v5 | K(x,y * (K(w \ u,w) * z)) = v5. [para(13184(a,1),16688(a,1))]. 16799 K(x,K(y,z)) \ T(u,K(x,y) \ z) = z \ T(u * z,K(x,y)). [hyper(16770,a,16600,a)]. 16801 K(x,y) * (K(T(y,z),x) * K(z,x / z)) = K(z,T(x,y) / z). [para(5358(a,1),16714(a,1,2))]. 16802 K(x,(y / z) * T(u,y \ z)) = K(x,u / ((y / z) \ 1)). [hyper(14234,a,16738,a)]. 16803 K(x,(y / z) * T(u,y \ z)) = K(x,u * (y / z)). [hyper(236,a,14131,a(flip),b,16802,a)]. 16804 K(x * ((K(y,z) * u) \ 1),w) != v5 | K(x / (u * K(y,z)),w) = v5. [para(16762(a,2),14377(a,1))]. 16805 T(K(x,T(y,z)) * u,w) / K(x,y) = T(K(x,y) * u,w) / T(K(x,y),z). [para(16107(a,1),16777(a,1,1,1))]. 16806 K((T(x,x \ y) \ z) * u,w) = K((((x \ y) \ y) \ z) * u,w). [para(638(a,1),16778(a,1,1,1)),flip(a)]. 16807 K(x,y * (z / T(u,T(w,v5)))) = K(x,y * (z / T(u,w))). [para(7624(a,1),16787(a,1,2,2))]. 16808 K(x,y * ((z / (z / u)) / T(w,u))) = K(x,y * (w \ (z / (z / u)))). [hyper(236,a,13160,a(flip),b,16807,a(flip))]. 16809 K(x,y * (T(z,u) / T(w,z))) = K(x,y * (w \ T(z,u))). [hyper(236,a,13157,a(flip),b,16807,a(flip))]. 16810 K(x * (y / T(z,T(u,w))),v5) = K(v5,x * (y / T(z,u))) \ 1. [para(16807(a,1),5093(a,1,1)),flip(a)]. 16811 K(x,y) * (K(y,T(x,z)) * K(z,x / z)) = K(z,T(x,y) / z). [para(7260(a,1),16801(a,1,2,1))]. 16812 K(x * (y / T(z,T(u,w))),v5) = K(x * (y / T(z,u)),v5). [hyper(236,a,5093,a(flip),b,16810,a)]. 16813 K(x * (y / T(z,T(u,w))),v5) != v6 | K(x * (y / T(z,u)),v5) = v6. [para(16810(a,2),5116(a,1))]. 16814 K(x * (T(y,z) / T(u,y)),w) = K(x * (u \ T(y,z)),w). [hyper(13217,a,16812,a),flip(a)]. 16815 K(x * ((y * z) / T(u,L(z,y,z) * y)),w) = K(x * (u \ T(L(z,y,z) * y,z)),w). [para(4245(a,1),16814(a,1,1,2,1))]. 16816 K(x,y / x) * K(y,K(z,x)) = K(x,T(y,z) / x). [hyper(236,a,16249,a(flip),b,16811,a(flip)),flip(a)]. 16817 K(x,T(y,z) / x) = K(x,T(y / x,z)). [hyper(16103,a,16816,a),flip(a)]. 16818 K(x,T(y,z) / x) != u | K(x,T(y / x,z)) = u. [para(16816(a,1),16103(a,1))]. 16819 K(x * K(y,x),T(z / (x * K(y,x)),u)) = K(x,T(T(z,u) / (x * K(y,x)),y)). [hyper(8428,a,16817,a),flip(a)]. 16820 K(x \ 1,T(R(y,x,1 / x),z) / (x \ 1)) = K(x \ 1,T(y * x,z)). [para(2875(a,1),16817(a,2,2,1))]. 16822 K(x,y * (T(z,T(u,w)) / v5)) = K(x,y * ((z / v5) * K(z,u))). [hyper(16732,a,16724,a)]. 16823 K(x,y * (T(z,T(u,w)) / v5)) = K(x,y * (T(z,u) / v5)). [hyper(16732,a,16822,a(flip)),flip(a)]. 16824 K(x,y * (T(z,u * w) / v5)) = K(x,y * (T(z,w * u) / v5)). [para(12988(a,1),16823(a,1,2,2,1))]. 16826 K(x,y * (K(z,u / w) * v5)) != v6 | K(x,y * (K(z,w \ u) * v5)) = v6. [para(8066(a,1),16753(a,1,2,2,1))]. 16827 K(x,K(y,L(z,u,w)) * (w * u)) != v5 | K(x,w * (u * K(y,z))) = v5. [para(11495(a,1),16765(a,1,2))]. 16828 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(16238,a,16668,a),flip(a)]. 16829 K((x * y) \ z,T(u,y)) != w | K(((x \ z) * x) / (y * x),u) = w. [para(16668(a,2),16686(a,1))]. 16830 K(((x \ y) * x) / (K(z,u) * x),w) = K((x * K(z,u)) \ y,w). [hyper(16829,a,16124,a)]. 16831 K((x * y) / (K(z,u) * y),w) = K((y * K(z,u)) \ (y * x),w). [para(13(a,1),16830(a,1,1,1,1))]. 16833 T(x,T(y,z * u) * K(z,u)) != w | T(x,((z * u) \ y) * (u * z)) = w. [para(16782(a,1),16498(a,1))]. 16834 K(x,y * ((z * K(u,w)) * T(v5,z))) = K(x,y * (v5 * (K(u,w) * z))). [para(15456(a,1),16784(a,1,2,2))]. 16836 K(x,y * (z * K(u \ 1,w))) != v5 | K(x,y * (z * K(u,w))) = v5. [para(16485(a,1),16827(a,1))]. 16837 K(x \ 1,T(y * x,z)) = K(x \ 1,T(y,z) * x). [para(2876(a,1),16820(a,1,2)),flip(a)]. 16838 K(1 / x,x * T(y,z)) = K(x \ 1,T(y * x,z)). [hyper(236,a,13028,a,b,16837,a),flip(a)]. 16839 K(1 / x,T(y * x,z)) = K(1 / x,x * T(y,z)). [hyper(236,a,3244,a,b,16838,a),flip(a)]. 16840 K(1 / x,T(y / (1 / x),z)) = K(1 / x,x * T(y,z)). [hyper(11009,a,16839,a)]. 16841 K(1 / (x / y),(x / y) * T(z,x)) = K(1 / (y \ x),z * (x / y)). [hyper(9453,a,16839,a),flip(a)]. 16842 K((((x / y) \ 1) \ y) \ y,z / (y / (((x / y) \ 1) \ y))) = K(1 / (x / y),(x / y) * T(z,x)). [hyper(236,a,15245,a,b,16839,a(flip)),flip(a)]. 16843 K(1 / (x \ y),z * (y / x)) = K(x / y,(y / x) * T(z,y)). [hyper(5826,a,16841,a),flip(a)]. 16844 K(x / y,(y / x) * T(z,y)) = K(y \ x,z * (y / x)). [hyper(6498,a,16843,a),flip(a)]. 16846 T(K(x,y) * z,u) / T(K(x,y),w) = T(K(x,T(y,w)) * z,u) * K(y,x). [hyper(7561,a,16805,a),flip(a)]. 16847 T(K(x,y) * z,u) / K(x,T(y,w)) = T(K(x,T(y,w)) * z,u) * K(y,x). [para(7256(a,2),16846(a,1,2))]. 16848 T(K(x,T(y,z)) * u,w) * K(y,x) = T(K(x,y) * u,w) * K(y,T(x,z)). [hyper(7671,a,16847,a),flip(a)]. 16849 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(236,a,11264,a,b,16848,a(flip)),flip(a)]. 16850 T(K(x \ (y * z),y \ x) * K(x,K(y,z)),u) = K(x \ (y * T(z,u)),x / y). [hyper(236,a,16774,a,b,16606,a(flip)),flip(a)]. 16855 K(x,T(T(y,z) / (x * K(u,x)),u)) = K(x,T(T(y / x,z),u)). [hyper(9999,a,16819,a),flip(a)]. 16856 K(x,T(T(y,z) / x,u)) = K(x,T(T(y / x,z),u)). [hyper(236,a,9580,a(flip),b,16855,a(flip)),flip(a)]. 16857 K(x \ (y * T(z,u)),x / y) = T(K(x \ (y * z),x / y),u). [para(10828(a,1),16850(a,1,1)),flip(a)]. 16858 K(x \ (y * T(z,u)),x / y) != w | K(x \ (y * z),T(x / y,u)) = w. [para(16857(a,2),7817(a,1))]. 16859 K(x \ (y * z),T(z \ x,u)) != w | K(x \ (z * y),T(x / z,u)) = w. [para(15911(a,1),16858(a,1))]. 16860 K(x,K((y * z) \ u,z * y)) = K(x,K(y * z,u)). [hyper(16019,a,9406,a)]. 16861 ((x / T(y,z)) \ 1) * (u / ((x / T(y,z)) \ 1)) != w | ((x / y) \ K(y,z)) * (u / ((x / y) \ K(y,z))) = w. [para(15118(a,2),16396(a,1))]. 16862 x \ (y * ((y \ x) * K((z / y) \ (y \ x),u))) = K(((y \ x) * y) / z,T(u,x / y)). [para(6270(a,1),16006(a,1,2,2))]. 16863 T(K(x,y) \ z,K(x,y)) * (u / (K(x,y) \ z)) = (K(y,x) * z) * (u / (z / K(x,y))). [para(5260(a,1),16321(a,2,1))]. 16864 K(x,T((y \ z) * T(y,z),y) / u) = K(x,T(u \ ((y \ z) * y),z)). [para(12992(a,1),16336(a,1,2)),flip(a)]. 16865 K(x,T(y \ ((z \ u) * z),u)) = K(x,((z \ u) * z) / y). [para(4252(a,1),16864(a,1,2,1)),flip(a)]. 16867 (K(x,y) \ z) \ (u * (z * K(y,x))) = (z * K(y,x)) \ (u * (K(x,y) \ z)). [para(8191(a,1),16395(a,1,2,2))]. 16868 K(x,T(y \ ((z \ u) * z),w)) = K(x,T(y \ T(u,z),w)). [hyper(236,a,9124,a(flip),b,16427,a)]. 16870 K(x,T(y \ T(z,u),z)) = K(x,((u \ z) * u) / y). [hyper(236,a,16865,a(flip),b,16868,a(flip))]. 16871 K(x,((y \ z) * y) / u) = K(x,T(z,y) / u). [hyper(16220,a,16870,a),flip(a)]. 16872 K(x,((y \ z) * y) / u) != w | K(x,T(z,y) / u) = w. [para(16870(a,1),16220(a,1))]. 16873 K(x,(y * K(z \ 1,y * z)) / u) = K(x,T(y,y * z) / u). [para(5160(a,1),16871(a,1,2,1))]. 16874 K(x,(y * K(z \ 1,y * z)) / u) = K(x,T(y,z) / u). [hyper(236,a,16496,a(flip),b,16873,a)]. 16875 K(x,K(y \ 1,z * y) * (z / u)) = K(x,T(z,y) / u). [para(15072(a,1),16874(a,1,2))]. 16876 K(x,(y / z) * K(u,y * u)) = K(x,T(y,u) / z). [hyper(16362,a,16875,a)]. 16877 K(x * (y \ T(L(z,u,z) * u,z)),w) = K(x * ((u * z) / T(y,z * u)),w). [para(13077(a,1),16815(a,1,1,2,2)),flip(a)]. 16878 K(x * ((y * z) / T(u,z * y)),w) = K(x * (u \ (y * z)),w). [para(4245(a,1),16877(a,1,1,2,2)),flip(a)]. 16880 K(x * ((K(y,z) * u) / T(w,((z * y) \ u) * (y * z))),v5) = K(x * (w \ ((y * z) * ((z * y) \ u))),v5). [para(11069(a,1),16878(a,1,1,2,1))]. 16881 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(7221(a,1),16849(a,1,2,1))]. 16882 K(((x \ y) * x) / z,T(u,y / x)) = y \ (y * K((x * (z / x)) \ y,u)). [para(6615(a,1),16862(a,1,2)),flip(a)]. 16883 K(((x \ y) * x) / z,T(u,y / x)) = K((x * (z / x)) \ y,u). [hyper(236,a,13,a(flip),b,16882,a)]. 16884 K((x * ((y * ((x \ z) * x)) / x)) \ z,u) = K(1 / y,T(u,z / x)). [hyper(5709,a,16883,a),flip(a)]. 16886 K((x * ((y * ((x \ z) * x)) / x)) \ z,u) != w | K(1 / y,T(u,z / x)) = w. [para(16883(a,1),5709(a,1))]. 16887 T(K(x,y) \ z,K(x,y)) * (u / (K(x,y) \ z)) = (K(y,x) * z) * (u / (z * K(y,x))). [para(7547(a,1),16863(a,2,2,2))]. 16888 K(x,y) \ T(z * K(x,T(y,u)),w) = T(K(x,y) * z,w) * K(y,T(x,u)). [para(16386(a,1),16881(a,1,2,1))]. 16889 T(K(x,y) * z,u) * K(y,T(x,w)) = K(y,x) * T(z * K(x,T(y,w)),u). [hyper(5286,a,16888,a),flip(a)]. 16890 K(x,T(y,z)) * T(u * K(y,x),w) = K(x,y) * T(u * K(y,T(x,z)),w). [hyper(236,a,16227,a(flip),b,16889,a(flip)),flip(a)]. 16891 (K(x,y) * z) * (u / (z * K(x,y))) = (z * K(x,y)) * (u / (K(y,x) \ z)). [para(8191(a,1),16887(a,1,1)),flip(a)]. 16892 (K(x,y) * z) * (u / (z * K(x,y))) = (z * K(x,y)) * (u / (K(x,y) * z)). [para(5260(a,1),16891(a,2,2,2))]. 16894 K(x,x \ 1) * ((K(y,z) / x) \ u) = u * T(u \ ((K(y,z) / x) \ u),K(y,z) / x). [para(11(a,1),16350(a,2,2,1,2))]. 16896 K(x,x \ 1) * ((K(y,z) / x) \ u) = u * T(u \ ((K(y,z) / x) \ u),x \ K(y,z)). [para(16125(a,1),16894(a,2,2))]. 16897 (1 / T(x * K(y,z),x \ K(z,y))) \ u = K(x,x \ 1) * ((K(z,y) / x) \ u). [hyper(236,a,14201,a(flip),b,16896,a),flip(a)]. 16898 K(x,x \ 1) * ((K(y,z) / x) \ u) = (1 / ((x \ 1) \ K(z,y))) \ u. [para(14648(a,1),16897(a,1,1,2)),flip(a)]. 16899 K(x,x \ 1) * ((K(y,z) / x) \ u) = (K(y,z) * (x \ 1)) \ u. [para(14511(a,1),16898(a,2,1))]. 16900 (x \ 1) * ((K(y,z) * (x \ 1)) \ u) = (1 / x) * ((K(y,z) / x) \ u). [para(16899(a,1),2946(a,1,2))]. 16901 x * (K(y,K(z,y \ u)) * K(z \ y,z * (u / y))) = x * K(z \ y,(u / y) * z). [para(9284(a,1),16510(a,1,2,1))]. 16902 x * (K(y,K(z,u)) * K(u \ y,u * (z / y))) = x * K(u \ y,(z / y) * u). [para(9206(a,1),16901(a,1,2,1))]. 16903 T(x,K(y,z)) * K(z \ y,z * (x / y)) = x * K(z \ y,(x / y) * z). [hyper(7928,a,16902,a)]. 16904 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),16544(a,1,2,1,2))]. 16905 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(7981(a,1),16904(a,1,2))]. 16906 T(x,y * K(z,u)) \ (T(x,K(z,u)) * T(y,K(z,u))) = T(y,x * K(z,u)). [para(16451(a,1),16905(a,1,2))]. 16907 K(x,K(y,z)) * (K(u * K(y,z),x) * T(u,K(y,z))) = T(u,x * K(y,z)). [hyper(236,a,10517,a(flip),b,16906,a(flip)),flip(a)]. 16908 K(x * ((K(y,T(z,u)) * w) / T(v5,a(T(z,u),v5 \ w,y))),v6) = K(x * (K(y,z) * (w / v5)),v6). [para(14670(a,1),16789(a,1,1,2,2))]. 16909 K((((x \ 1) * K(y,z)) * T(u,x \ 1)) \ w,v5) = K((u * (K(y,T(z,x \ u)) / x)) \ w,v5). [para(14500(a,1),16004(a,2,1,1,2))]. 16910 T(K(x,y) * (x * T(z,T(x,y))),T(u,x * T(z,T(x,y)))) = T(z * T(x,y),u). [hyper(236,a,4887,a,b,16328,a)]. 16911 T(T(x,y) * T(z,T(x,y)),T(u,x * T(z,T(x,y)))) = T(z * T(x,y),u). [para(4906(a,1),16910(a,1,1))]. 16912 T(x * T(y,z),T(u,y * T(x,T(y,z)))) = T(x * T(y,z),u). [para(119(a,1),16911(a,1,1))]. 16913 T(x * T(y,z),T(u,y * T(x,y))) = T(x * T(y,z),u). [para(16620(a,1),16912(a,1,2))]. 16914 T(x * T(y,z),T(u,x * y)) = T(x * T(y,z),u). [para(119(a,1),16913(a,1,2,2))]. 16916 T(x * T(y,z),T(u,x * y)) != w | T(x * T(y,z),u) = w. [para(16914(a,1),8242(a,1))]. 16917 K(x,(y * z) \ T(u,y)) * K(x,K(u,T(z,u / y) * y)) = K(x,T((z * y) \ u,y \ u)). [para(15806(a,1),16566(a,1,1))]. 16918 K((((x / y) \ 1) \ y) \ y,z / (y / (((x / y) \ 1) \ y))) = K(y / x,(x / y) * T(z,x)). [hyper(236,a,5702,a(flip),b,16842,a)]. 16919 K((((x / y) \ 1) \ y) \ y,z / (y / (((x / y) \ 1) \ y))) = K(x \ y,z * (x / y)). [hyper(236,a,16844,a(flip),b,16918,a)]. 16920 K((((x / y) \ 1) \ y) \ y,z / ((x / y) \ 1)) = K(x \ y,z * (x / y)). [para(62(a,1),16919(a,1,2,2))]. 16921 K((((x / y) \ 1) \ y) \ y,z / (1 / (x / y))) = K(x \ y,z * (x / y)). [hyper(236,a,5473,a,b,16920,a(flip)),flip(a)]. 16923 K((x / y) \ 1,T(z / (1 / (x / y)),y)) = K(x \ y,z * (x / y)). [hyper(7820,a,16921,a)]. 16924 K(1 / (x / y),T(z / (1 / (x / y)),y)) = K(x \ y,z * (x / y)). [hyper(5393,a,16923,a)]. 16925 K(1 / (x / y),(x / y) * T(z,y)) = K(x \ y,z * (x / y)). [hyper(236,a,16840,a(flip),b,16924,a(flip)),flip(a)]. 16926 K(x / y,(y / x) * T(z,x)) = K(y \ x,z * (y / x)). [hyper(5826,a,16925,a)]. 16927 K((x / y) \ x,z * ((x / y) / x)) = K(y,T(((x / y) / x) * T(z,x),x)). [hyper(8417,a,16926,a),flip(a)]. 16928 K(T(x,y) / (x / y),((x / y) / T(x,y)) * T(z,T(x,y))) = K((x * y) / x,z * ((x / y) / T(x,y))). [para(3891(a,1),16926(a,2,1))]. 16930 K(x,T(((y / x) / y) * T(z,y),y)) != u | K(x,z * ((y / x) / y)) = u. [para(16927(a,1),8411(a,1))]. 16932 K(((x / y) \ 1) * z,y / x) * K((x / y) \ 1,T(z,y \ x)) = a((x / y) \ 1,z,(x / y) \ 1). [para(5241(a,1),16024(a,1,1))]. 16933 K((x \ y) \ z,x / y) * K((x \ y) \ 1,T(z,T(x,u))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(10078(a,1),16409(a,1,1))]. 16934 K((x \ y) \ z,x / y) * K(y \ x,T(z,T(x,u))) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(6269(a,1),16933(a,1,2))]. 16935 K((x \ y) \ z,x / y) * K(x / y,z) = a((x \ y) \ 1,z,(x \ y) \ 1). [para(9819(a,1),16934(a,1,2))]. 16936 K((x \ y) \ z,x / y) * K((y / x) \ 1,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). [para(10470(a,1),16932(a,1,1))]. 16937 K((x \ y) \ z,x / y) * K(x / y,T(z,x \ y)) = a((y / x) \ 1,z,(y / x) \ 1). [para(5699(a,1),16936(a,1,2))]. 16938 K((x \ y) \ z,x / y) * K(x / y,z) = a((y / x) \ 1,z,(y / x) \ 1). [para(8493(a,1),16937(a,1,2))]. 16939 K((x \ y) \ z,x / y) * K(x / y,z) = a(y \ x,z,y \ x). [hyper(236,a,12751,a(flip),b,16938,a)]. 16940 a((x \ y) \ 1,z,(x \ y) \ 1) = a(y \ x,z,y \ x). [hyper(236,a,16935,a(flip),b,16939,a(flip)),flip(a)]. 16941 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(16940(a,1),13820(a,1,1))]. 16942 K(x,((y / K(z,u)) * w) / ((y / K(z,u)) * K(y,K(z,u)))) = K(x,y \ T(w * y,K(z,u))). [para(16580(a,1),16618(a,2,2))]. 16944 K(x,((y / K(z,u)) * w) / ((y / K(z,u)) * K(y,K(z,u)))) = K(x,y \ (w * y)). [hyper(236,a,16626,a(flip),b,16942,a)]. 16946 K(x,((y / K(z,u)) * w) / ((y / K(z,u)) * K(y,K(z,u)))) = K(x,T(w,y)). [para(32(a,2),16944(a,2,2))]. 16947 K(x,((y / K(z,u)) * w) / (K(z,u) \ y)) = K(x,T(w,y)). [para(7623(a,1),16946(a,1,2,2))]. 16948 K(x,((y / K(z,u)) * w) / (y / K(z,u))) = K(x,T(w,y)). [hyper(16734,a,16947,a)]. 16949 K(x,T(y,z / K(u,w))) = K(x,T(y,z)). [hyper(8143,a,16948,a)]. 16950 K(x,T(y,K(z,u) * w)) = K(x,T(y,w)). [hyper(16385,a,16949,a)]. 16951 K(x,T(y,K(z,u) / w)) = K(x,T(y,w)). [hyper(9374,a,16949,a)]. 16952 K(x,T(y,z * K(u,w))) = K(x,T(y,z)). [para(15(a,1),16949(a,1,2,2)),flip(a)]. 16953 T(x,T(y,z / K(u,w))) = x * K(x,T(y,z)). [para(16949(a,1),4887(a,2,2))]. 16955 K(x * (K(y,z) * u),T(w,u)) = K((K(y,z) * u) * x,w). [hyper(13410,a,16950,a),flip(a)]. 16957 K(x,T(y,K(z,u) * w)) = K(x,(w * y) / w). [hyper(236,a,8070,a,b,16950,a)]. 16960 K(x,T(y,z \ T(u,w))) = K(x,T(y,z \ u)). [para(5540(a,1),16950(a,1,2,2)),flip(a)]. 16961 (K(x,y) * z) * K(u,T(w,z)) != v5 | K(u,w) * (K(x,y) * z) = v5. [para(16950(a,1),7283(a,1,2))]. 16967 K(x,T(y,z)) * (K(u,w) / z) = (K(u,w) / z) * K(x,y). [para(16951(a,1),8047(a,1,1))]. 16969 K(x,T(y,(z * u) * K(w,v5))) = K(x,T(y,u * z)). [hyper(236,a,15991,a,b,16952,a)]. 16971 K(x,T(L(y,z,u),w * K(v5,v6))) = K(x,L(T(y,w),z,u)). [para(40(a,2),16952(a,2,2))]. 16973 K(x,T(y,z / (u / w))) = K(x,T(y,z / (w \ u))). [para(6360(a,1),16952(a,1,2,2))]. 16975 K(x,T(y,z)) * (z * K(u,w)) = (z * K(u,w)) * K(x,y). [para(16952(a,1),8047(a,1,1))]. 16976 K(x \ (y * K(z,u)),T(w,y)) != v5 | K((y * K(z,u)) / x,w) = v5. [para(16952(a,1),8171(a,1))]. 16977 K(x \ y,T(z,x * K(u,w))) != v5 | K(y / x,z) = v5. [para(16952(a,2),8184(a,1))]. 16978 T(x * K(y,T(x,z)),y) = T(x,K(y,z * K(u,w))). [para(16952(a,1),8440(a,1,1,2))]. 16982 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(16952(a,1),15389(a,1))]. 16983 T(x,T(y,z / K(u,w))) = T(x,T(y,z)). [hyper(236,a,4887,a,b,16953,a)]. 16984 T(x,T(y,z * K(u,w))) = T(x,T(y,z)). [para(15(a,1),16983(a,1,2,2)),flip(a)]. 16985 K(x,K(y,z / K(u,w))) = (x \ y) / T(y / x,T(x,z)). [para(16983(a,1),15517(a,1,2)),flip(a)]. 16986 T(x,T(y,K(z,u) * w)) = T(x,T(y,w)). [hyper(16233,a,16984,a)]. 16988 T(x,T(y,z)) \ T(T(x,K(u,w) * z),y) = K(x,K(u,w) * z). [para(16986(a,1),7451(a,1,1))]. 16989 K(x,T(y,K(z,u) * w)) != v5 | K(x,T(y,w)) = v5. [para(16957(a,2),8143(a,1))]. 16990 K(x / (y \ T(z,u)),T(w,y \ z)) != v5 | K((y \ T(z,u)) \ x,w) = v5. [para(16960(a,1),8178(a,1))]. 16991 K(x,T(y,K(z,u) \ w)) != v5 | K(x,T(y,w)) = v5. [para(5260(a,2),16989(a,1,2,2))]. 16992 K(x,T(y,T(z,u) \ w)) != v5 | K(x,T(y,z \ w)) = v5. [para(5204(a,1),16989(a,1,2,2))]. 16994 K(x,T(y,z * (K(u,w) * v5))) != v6 | K(x,T(y,z * v5)) = v6. [para(10612(a,1),16989(a,1,2,2))]. 16995 K(x,T(y,z * (u * K(w,v5)))) = K(x,T(y,u * z)). [para(6586(a,1),16969(a,1,2,2))]. 16996 K(x,y) * K(x,K(y,z / (u / w))) = K(x,T(y,z / (w \ u))). [hyper(8026,a,16973,a)]. 16998 T(x,K(y,z * K(u,w))) = T(x,K(y,z)). [hyper(8944,a,16978,a),flip(a)]. 16999 T(x,K(y,K(z,u) * w)) = T(x,K(y,w)). [hyper(16307,a,16998,a)]. 17000 T((x * K(y,z)) * u,K(u,x)) = (x * K(y,z)) * u. [hyper(8017,a,16998,a),flip(a)]. 17001 T(x,K(y,z * (u / w))) = T(x,K(y,z * (w \ u))). [para(6448(a,1),16998(a,1,2,2)),flip(a)]. 17002 T(x,K(y,z \ (u / w))) = T(x,K(y,z \ (w \ u))). [para(14228(a,1),16998(a,1,2,2))]. 17003 T(x,K(K(y,z) * u,w)) = T(x,K(w,u)). [hyper(8002,a,16999,a)]. 17004 T(x,K(y,z * (K(u,w) * v5))) = T(x,K(y,z * v5)). [para(10563(a,1),16999(a,1,2,2)),flip(a)]. 17005 x \ T(y * T(x,K(z,u)),K(z,K(w,v5) * u)) = T(y,K(K(w,v5) * u,z) * x). [para(16999(a,1),15654(a,1,2,1,2))]. 17006 (x * T(y,K(x,z))) \ (T(x,K(u,w) * z) * y) = K(x,K(w,u) * z). [para(16999(a,1),15678(a,1,1,2))]. 17007 T(x,K(y,T(z,u) * w)) = T(x,K(z * w,y)). [para(4860(a,1),17003(a,1,2,1)),flip(a)]. 17008 T(T(K(x,y) * z,K(x,y)) / u,K(K(x,y) * z,w)) = (z * K(x,y)) / T(u,K(w,z)). [para(17003(a,1),16516(a,2,2))]. 17009 x \ T(y * T(x,K(z * u,w)),K(T(z,v5) * u,w)) = T(y,K(w,T(z,v5) * u) * x). [para(17007(a,1),15657(a,1,2,1,2))]. 17010 K(x / (y * (z * K(u,w))),T(v5,z * y)) = K((y * (z * K(u,w))) \ x,v5). [hyper(8178,a,16995,a),flip(a)]. 17011 K(x,y) * ((x * K(z,u)) * T(y,x)) = (x * K(z,u)) * y. [hyper(6467,a,17000,a)]. 17012 T(x,K(y,z * (T(u,w) * v5))) = T(x,K(y,z * (u * v5))). [para(4860(a,1),17004(a,1,2,2,2)),flip(a)]. 17013 K(((x \ y) * x) \ z,T(u,y)) != w | K(z / ((x \ y) * x),u) = w. [para(247(a,1),16977(a,1,2,2))]. 17014 K(x,T(y,(z \ u) \ w)) = K(x,T(y,w \ (u / z))). [hyper(16992,a,15697,a)]. 17015 K(x,T(y,z \ (u / w))) != v5 | K(x,T(y,z \ (w \ u))) = v5. [para(17014(a,1),9375(a,1))]. 17016 K(x,T(y,z)) / T(z,u) = (K(u,z) / z) * K(x,y). [hyper(14550,a,16967,a)]. 17017 ((1 / x) * K(y,z)) * K(u,x) = (K(u,x) / x) * K(y,z). [hyper(236,a,14552,a,b,17016,a(flip)),flip(a)]. 17018 K(x,L(T(y,z * K(u,w)),v5,v6)) = K(x,L(T(y,z),v5,v6)). [para(40(a,2),16971(a,1,2))]. 17019 K(x,K(y,z)) * (z * K(u,w)) = T(z * K(u,w),K(x,y)). [hyper(168,a,16975,a(flip),b,10502,a),flip(a)]. 17020 K(x,y) * ((1 / y) * K(z,u)) = ((1 / y) * K(z,u)) * K(x,y). [para(5238(a,1),16975(a,1,1))]. 17021 K(x,K(y,z / K(u,w))) = K(x,K(y,z)). [hyper(236,a,15517,a(flip),b,16985,a)]. 17022 K(x,K(y,K(z,u) \ w)) = K(x,K(y,w)). [hyper(16052,a,17021,a)]. 17023 K(x,K(y,K(z,u) / w)) = K(x,K(y,w)). [hyper(9361,a,17021,a)]. 17024 K(x,K(y,z * K(u,w))) = K(x,K(y,z)). [hyper(236,a,16503,a(flip),b,17021,a(flip)),flip(a)]. 17025 K(x,K(y,z * T(u,w))) = K(x,K(y,z * u)). [para(6239(a,1),17021(a,1,2,2)),flip(a)]. 17026 K(x,K(y,T(z,u) \ w)) = K(x,K(y,z \ w)). [para(7347(a,1),17021(a,1,2,2))]. 17028 K(x,K(y,K(z,u) * w)) = K(x,K(y,w)). [hyper(236,a,16502,a(flip),b,17022,a(flip)),flip(a)]. 17029 K(x,K(y,T(z,u) * w)) = K(x,K(y,z * w)). [para(4908(a,1),17022(a,1,2,2)),flip(a)]. 17032 (K(x,y) \ z) \ (u * T(K(x,y) \ z,K(w,v5))) = K(w,K(v5,z)) \ T(u,K(x,y) \ z). [para(17022(a,1),16393(a,1,1)),flip(a)]. 17033 K(x,K(y,K(z,u) / w)) = K(x,K(w,y)). [hyper(236,a,7937,a,b,17023,a)]. 17036 K(x,K(y,z \ T(u,w))) = K(x,K(y,z \ u)). [para(1249(a,1),17024(a,1,2,2))]. 17037 K(x,K(y,z / T(u,w))) = K(x,K(y,z / u)). [para(6197(a,1),17024(a,1,2,2)),flip(a)]. 17038 K(x,K(y,z / ((u * w) / u))) = K(x,K(y,z / w)). [para(6359(a,2),17024(a,1,2,2))]. 17039 K(x,K(y,z / (u / w))) = K(x,K(y,z / (w \ u))). [para(6360(a,1),17024(a,1,2,2))]. 17040 K(x,K(y,z * (u / w))) = K(x,K(y,z * (w \ u))). [para(6448(a,1),17024(a,1,2,2)),flip(a)]. 17041 K(x,K(y,(z / u) * w)) = K(x,K(y,(u \ z) * w)). [para(6487(a,1),17024(a,1,2,2))]. 17042 K(x,K(y,z * (u * K(w,v5)))) = K(x,K(y,z * u)). [para(6586(a,1),17024(a,1,2,2))]. 17043 K(x,K(y,(z * K(u,w)) * v5)) = K(x,K(y,z * v5)). [para(9860(a,1),17024(a,1,2,2)),flip(a)]. 17044 K(x,K(y,z / (u * w))) = K(x,K(y,z / (w * u))). [para(10448(a,1),17024(a,1,2,2))]. 17045 K(x,K(y,z \ (u / w))) = K(x,K(y,z \ (w \ u))). [para(14228(a,1),17024(a,1,2,2))]. 17046 K(x,K(y,K(z,u) * w)) = K(w,K(x,y)). [hyper(236,a,7923,a(flip),b,17028,a)]. 17047 K(x,K(y,((z * u) / z) * w)) = K(x,K(y,u * w)). [para(5415(a,1),17028(a,1,2,2)),flip(a)]. 17050 K(x,K(y,z * (K(u,w) * v5))) = K(x,K(y,z * v5)). [para(10563(a,1),17028(a,1,2,2)),flip(a)]. 17051 K(x,K(y,(z * u) / w)) = K(x,K(y,(u * z) / w)). [para(14807(a,1),17028(a,1,2,2))]. 17052 K(x,K(y,(T(z,u) * w) * v5)) = K(x,K(y,(z * w) * v5)). [para(15448(a,1),17028(a,1,2,2))]. 17053 K(x,K(y,L(K(z,u) / w,v5,v6))) = K(x,K(w,L(y,v5,v6))). [hyper(11614,a,17033,a)]. 17054 K(x,K(y * K(z,u),w)) = K(x,K(y,w)). [hyper(9362,a,17033,a),flip(a)]. 17055 K(x,K(K(y,z) / u,w)) = K(x,K(u,w)). [hyper(7971,a,17033,a)]. 17056 K(x,K(y \ (1 / z),L(y / u,u,z))) = K(x,K(z * y,y / u)). [hyper(236,a,16078,a,b,17033,a(flip)),flip(a)]. 17057 K(x,K(y * K(z,u),w)) != v5 | K(x,K(y,w)) = v5. [para(17033(a,1),9362(a,1))]. 17061 K(x,K(y,K(z,u) * w)) != v5 | K(x,K(y,w)) = v5. [para(17046(a,2),7960(a,1))]. 17062 K(x,K(K(y,z) * u,w)) = K(x,K(u,w)). [hyper(16304,a,17054,a)]. 17065 K(x,K(T(y,z) / u,w)) = K(x,K(y / u,w)). [para(1611(a,1),17054(a,1,2,1))]. 17067 K(x,K(K(y,z) / u,w)) = K(x,K(u * K(v5,v6),w)). [hyper(236,a,17054,a,b,17055,a)]. 17068 K(x,K(y,L(K(z,u) * w,v5,v6))) = K(x,K(w,L(y,v5,v6))). [hyper(11552,a,17062,a)]. 17073 K(x,K(y,z * u)) * K(y,(z * T(u,w)) \ x) = K(y,x / (z * T(u,w))). [para(17025(a,1),9400(a,1,1))]. 17074 K(x,(y * T(z,u)) \ w) * K(x,K(w,y * z)) = K(x,w / (y * T(z,u))). [para(17025(a,1),9403(a,1,2))]. 17075 x * (T(y,z) * K(u,K(w,x * y))) = T(x * T(y,z),K(u,w)). [para(17025(a,1),13198(a,1,2,2))]. 17076 K(x,K(y,z * T(u,w))) != v5 | K(x,K(y,u * z)) = v5. [para(17025(a,2),16073(a,1))]. 17077 K(x,K(y,z \ u)) \ K(x,y * (u / z)) = K(x,(u / T(z,x)) * y). [para(17026(a,1),16492(a,1,1))]. 17078 T(x,y) * (z * K(u,K(w,x * z))) = T(T(x,y) * z,K(u,w)). [para(17029(a,1),13198(a,1,2,2))]. 17079 K(x,K(y,z * u)) * K(x,y * (T(z,w) * u)) = K(x,(T(z,w) * u) * y). [para(17029(a,1),13238(a,1,1))]. 17080 K(x,K(T(y,z) / u,w)) = K(x,K(w,u \ y)). [hyper(236,a,16049,a,b,17036,a(flip)),flip(a)]. 17081 K(x,K(y,z \ u)) * K(x,(z \ T(u,w)) \ y) = K(x,y / (z \ T(u,w))). [para(17036(a,1),9401(a,1,1))]. 17082 K(x,K(y,z / (u / (u / w)))) = K(x,K(y,z / w)). [para(186(a,1),17037(a,1,2,2,2)),flip(a)]. 17083 K(x,K(y / z,L(u,z,w))) = K(x,K(u,(y * w) / (w * z))). [hyper(236,a,16489,a(flip),b,17065,a(flip))]. 17084 K(x,K(y,z \ u)) * K(y,x * (T(u,w) / z)) = K(y,(T(u,w) / z) * x). [para(17080(a,1),13239(a,1,1))]. 17085 K(x,K(y,T(z,u) \ w)) != v5 | K(x,K(y,z \ w)) = v5. [para(5204(a,1),17061(a,1,2,2))]. 17088 K(x,K(y,z \ K(u,w))) != v5 | K(x,K(y,z)) = v5. [para(9259(a,2),17061(a,1))]. 17089 K(x,K(y,(z * u) * w)) != v5 | K(x,K(y,(u * z) * w)) = v5. [para(11049(a,1),17061(a,1,2,2))]. 17090 K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,(u * z) / w)) = v5. [para(14807(a,1),17061(a,1,2,2))]. 17091 K(x,K(y,z / T(u,w))) != v5 | K(x,K(y,z / u)) = v5. [para(16299(a,1),17061(a,1,2))]. 17092 K(x,K(y,z * (u * w))) != v5 | K(x,K(y,z * (w * u))) = v5. [para(16300(a,1),17061(a,1,2))]. 17093 K(x,K(y,z * (u * K(w,v5)))) != v6 | K(x,K(y,z * u)) = v6. [para(16178(a,1),17061(a,1,2))]. 17095 L(K(x,K(y,z / (u / w))),v5,v6) = K(y,K(z / (w \ u),L(x,v5,v6))). [para(17039(a,2),11555(a,1,1))]. 17096 K(x,K(y,z * (u \ w))) * K(y,(z * (w / u)) \ x) = K(y,x / (z * (w / u))). [para(17040(a,1),9400(a,1,1))]. 17097 K(x,K(y,(z \ u) * w)) * K(x,y * ((u / z) * w)) = K(x,((u / z) * w) * y). [para(17041(a,1),13238(a,1,1))]. 17098 K(x,K(y,(z * K(u,w)) * v5)) = K(x,K(y,v5 * z)). [hyper(16073,a,17042,a)]. 17099 K(x,K(y,z * (T(u,w) * v5))) = K(x,K(y,z * (u * v5))). [para(5689(a,1),17042(a,1,2,2,2))]. 17100 K(x,K(y,z * (u * (w * K(v5,v6))))) = K(x,K(y,z * (u * w))). [para(6586(a,1),17042(a,1,2,2,2))]. 17101 K(x,K(y,z * (u * K(w,v5)))) != v6 | K(x,K(y,u * z)) = v6. [para(17042(a,2),16073(a,1))]. 17102 K(x,K(y,(T(z,u) / w) * v5)) = K(x,K(y,(z / w) * v5)). [para(1611(a,1),17043(a,1,2,2,1))]. 17103 K(x,K(y,((z / u) * w) * v5)) = K(x,K(y,((u \ z) * w) * v5)). [para(6487(a,1),17043(a,1,2,2,1))]. 17104 K(x,K(y,(z * K(u,w)) * v5)) != v6 | K(x,K(y,v5 * z)) = v6. [para(17043(a,2),16073(a,1))]. 17105 K(x,K(y,(z * u) / w)) = K(x,K(y,w / (u * z))). [hyper(9361,a,17044,a)]. 17106 K(x,K(y,(K(z,u) * w) / v5)) = K(x,K(y,(1 / v5) * w)). [hyper(16352,a,17050,a)]. 17108 K(x,K(y,((z * u) * w) / (w * u))) = K(x,K(y,L(z,u,w))). [hyper(236,a,16488,a(flip),b,17051,a)]. 17109 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(897(a,1),17051(a,1,2,2)),flip(a)]. 17110 K(x,K(y,(z * u) / w)) != v5 | K(x,K(y,w / (u * z))) = v5. [para(17051(a,1),9361(a,1))]. 17111 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(236,a,11569,a(flip),b,17067,a(flip))]. 17112 K(x,K(y,z / (u * w))) != v5 | K(x,K(y,z / (w * u))) = v5. [para(17105(a,1),9361(a,1))]. 17113 (x * y) \ ((y * K(z,u)) * T(x,y)) = (y * x) \ ((y * K(z,u)) * x). [hyper(72,a,17011,a(flip),b,11069,a),flip(a)]. 17114 K(x,y) * ((x * K(z,u)) * T(y,x)) != w * v5 | w \ ((x * K(z,u)) * y) = v5. [para(17011(a,2),545(a,1))]. 17115 ((x * K(y,z)) * T(u,x)) \ (u * x) = ((x * K(y,z)) * u) \ (x * u). [para(17011(a,1),14812(a,1,1)),flip(a)]. 17116 K(x,L(T(y,K(z,u) * w),v5,v6)) = K(x,L(T(y,w),v5,v6)). [hyper(16413,a,17018,a)]. 17117 K(x,L(T(y,z * T(u,w)),v5,v6)) = K(x,L(T(y,z * u),v5,v6)). [para(1251(a,1),17018(a,1,2,1,2))]. 17118 K(x,L(T(y,z * (u * K(w,v5))),v6,v7)) = K(x,L(T(y,z * u),v6,v7)). [para(6586(a,1),17018(a,1,2,1,2))]. 17119 T(x * K(y,z),K(u,w)) = T(x,K(u,w)) * K(y,z). [hyper(7946,a,17019,a),flip(a)]. 17121 T(K(x,y) * z,K(u,w)) = K(x,y) * T(z,K(u,w)). [hyper(6146,a,17119,a),flip(a)]. 17122 T(x * K(y \ z,y * (x / z)),K(z,y)) = x * K(y \ z,(x / z) * y). [hyper(236,a,16903,a(flip),b,17119,a)]. 17125 T(K(x,y) * z,K(u,w)) = K(x,y) * T(z,K(w,u)). [hyper(8002,a,17121,a)]. 17127 K(x,y) * T(z,K(u,w / T(u,v5))) = T(K(x,y) * z,K(u,u * w)). [hyper(236,a,9341,a(flip),b,17121,a(flip))]. 17128 K(x,K(y,z)) * T(K(u * K(y,z),x) * u,K(y,z)) = T(u,x * K(y,z)). [para(17121(a,2),16907(a,1,2))]. 17129 K(x,y) * T(z,K(u,w)) != v5 | T(K(x,y) * z,K(u,w)) = v5. [para(17125(a,1),8002(a,1))]. 17130 K(x,K(y,z * (T(u,w) * v5))) = K(x,K(y,(u * v5) * z)). [hyper(16073,a,17052,a)]. 17131 K(x,K(y,L(K(z,u) / w,v5,v6))) = K(x,K(y,L(w,v5,v6))). [hyper(236,a,11551,a,b,17053,a)]. 17134 K(x,K(y,((z / (z / u)) / w) * v5)) = K(x,K(y,(u / w) * v5)). [para(186(a,1),17102(a,1,2,2,1,1)),flip(a)]. 17135 K(x,K(y,(K(z,u) * w) / v5)) = K(x,K(y,w / v5)). [hyper(236,a,16082,a(flip),b,17106,a)]. 17136 K(x,K(y,z / (K(u,w) * v5))) = K(x,K(y,v5 / z)). [hyper(9361,a,17135,a)]. 17138 K(x,K(y,(z * T(u,w)) / v5)) = K(x,K(y,(z * u) / v5)). [para(5700(a,1),17135(a,1,2,2,1))]. 17139 K(x,K(y,z / ((K(u,w) * v5) * v6))) = K(x,K(y,(v5 * v6) / z)). [para(6679(a,1),17136(a,1,2,2,2))]. 17140 K(x,K(y,(z * K(u,w)) / v5)) = K(x,K(y,v5 / z)). [para(8093(a,1),17136(a,1,2,2,2)),flip(a)]. 17142 K(x,K(y,z / u)) * (w * K(x,y)) = w * K(x,T(y,(u * K(v5,v6)) / z)). [para(17140(a,1),16386(a,1,1))]. 17143 K(x,K(y,z / (T(u,w) * v5))) = K(x,K(y,(v5 * u) / z)). [hyper(236,a,17105,a(flip),b,17138,a(flip)),flip(a)]. 17144 K(x,K(y,(z * (u / w)) / v5)) = K(x,K(y,v5 / ((w \ u) * z))). [para(121(a,1),17143(a,1,2,2,2,1)),flip(a)]. 17146 K(x,T(y,z * (u \ w))) != v5 | K(x,T(y,z * (w / u))) = v5. [para(4968(a,1),16994(a,1,2,2,2))]. 17147 K(x,T(y,z * (T(u,w) \ v5))) != v6 | K(x,T(y,z * (u \ v5))) = v6. [para(5204(a,1),16994(a,1,2,2,2))]. 17149 K(x,K(y / (z \ u),L(w,u,z))) = K(x,K(w,(y * z) / (z * (z \ u)))). [hyper(236,a,15053,a(flip),b,17083,a(flip)),flip(a)]. 17150 K(x,K(T(R(y,K(z,u),w),K(z,u)),L(v5,K(z,u) * w,v6))) = K(x,K(v5,(((K(z,u) * y) * w) * v6) / (v6 * (K(z,u) * w)))). [para(8001(a,1),17083(a,1,2,1))]. 17151 K(x,K(y,z * (u * (w * (v5 / w))))) != v6 | K(x,K(y,z * (u * v5))) = v6. [para(8660(a,1),17093(a,1,2,2,2))]. 17152 K(x,K(y,(z \ T(u,w)) * v5)) != v6 | K(x,K(y,v5 * (z \ u))) = v6. [para(1249(a,1),17104(a,1,2,2,1))]. 17153 K(x,K(y,(z / T(u,w)) * v5)) != v6 | K(x,K(y,v5 * (z / u))) = v6. [para(7555(a,1),17104(a,1,2,2,1))]. 17154 K(x,y) * L(T(z,K(u,w)),v5,v6) != v7 | T(K(x,y) * L(z,v5,v6),K(u,w)) = v7. [para(40(a,2),17129(a,1,2))]. 17157 K(x,K(y,z) * (K(u,K(w,v5)) / (v6 \ 1))) = T(x,T(v7,v6)) \ T(T(x,K(y,z) * v6),v7). [hyper(236,a,16722,a,b,16988,a),flip(a)]. 17159 ((1 / x) * K(y,z)) * K(u,x) = K(u,x) / (K(z,y) * x). [hyper(14591,a,17020,a),flip(a)]. 17161 K(x,y) / (K(z,u) * y) = (K(x,y) / y) * K(u,z). [hyper(236,a,17017,a(flip),b,17159,a(flip))]. 17162 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(17161(a,2),10201(a,2,2))]. 17163 x * (T(x \ y,z) * K(u,K(w,y))) = T(x * T(x \ y,z),K(u,w)). [para(14(a,1),17075(a,1,2,2,2,2))]. 17164 K(x,T(y,z * (u * (w * K(v5,v6))))) = K(x,y) * K(y,K(x,z * (u * w))). [para(17100(a,1),7956(a,1,2)),flip(a)]. 17165 K(x,K(y,((z \ (z * ((1 / z) * u))) * w) * v5)) = K(x,K(y,(L(u / z,z,1 / z) * w) * v5)). [para(820(a,1),17103(a,1,2,2,1,1)),flip(a)]. 17166 K(x,K(y,z * ((u / (u / w)) / v5))) = K(x,K(y,(w / v5) * z)). [hyper(16073,a,17134,a)]. 17167 K(x,K(y,z / ((K(u,w) * v5) * v6))) = K(x,K(y,z / (v5 * v6))). [hyper(236,a,9257,a,b,17139,a)]. 17168 K(x,K(y,((z \ u) / w) * v5)) = K(x,K(y,v5 * ((u / z) / w))). [para(62(a,1),17166(a,1,2,2,2,1,2)),flip(a)]. 17169 K(x,K(y,(z / u) * w)) != v5 | K(x,K(y,((v6 / (v6 / z)) / u) * w)) = v5. [para(17166(a,1),16073(a,1))]. 17170 K(x,K(y,z / (u * (K(w,v5) * v6)))) = K(x,K(y,z / (v6 * u))). [hyper(17112,a,17167,a)]. 17172 K(x,K(y,z / (u * (K(w,v5) * v6)))) != v7 | K(x,K(y,z / (u * v6))) = v7. [para(17170(a,2),17112(a,1))]. 17173 K(T(x,y) \ z,T(u,x)) = K(z / ((y \ x) * y),u). [hyper(17013,a,16454,a),flip(a)]. 17174 K(x / ((y \ z) * y),u) != w | K(x / T(z,y),u) = w. [para(17173(a,1),16218(a,1))]. 17175 K(x,K((1 / y) / z,L(z / u,u,y))) = K(x,K(y * z,z / u)). [hyper(16099,a,17056,a)]. 17177 K(x,T(y,z * (T(u,w) \ v5))) = K(x,T(y,z * (u \ v5))). [hyper(17147,a,xx),flip(a)]. 17179 K(x,K((y \ z) * u,u / y)) = K(x,K(z,(1 / (y \ z)) / u)). [hyper(236,a,15357,a(flip),b,17175,a(flip))]. 17180 K(x,K(y / z,(z \ u) * y)) = K(x,K(u,(1 / (z \ u)) / y)). [hyper(7971,a,17179,a)]. 17181 K(x,K(y,(1 / (z \ y)) / u)) = K(x,K(y,u / z)). [hyper(236,a,16105,a(flip),b,17180,a(flip))]. 17182 K(x,K(y,(1 / z) / u)) = K(x,K(y,u / (y / z))). [para(65(a,1),17181(a,1,2,2,1,2))]. 17183 K(x,K(y,z / (y / u))) = K(x,K(y,z * u)). [hyper(236,a,12155,a(flip),b,17182,a(flip))]. 17184 K(x,K(y,z * (y / u))) = K(x,K(y,z / u)). [hyper(236,a,17082,a(flip),b,17183,a(flip))]. 17185 K(x,K(y,z * x)) * K(y / x,(y / x) \ z) = K(x \ y,z / (y / x)). [para(17183(a,1),9404(a,1,1))]. 17186 K(x,K(y,z * (x / u))) = K(y,K(x,z / u)). [hyper(7921,a,17184,a)]. 17187 K(x,K(y,z * (x / u))) = K(x,K(y,z / u)). [hyper(236,a,7919,a,b,17186,a)]. 17188 K(x,K(y,z / y)) * K(y / x,(x / y) * z) = K(x \ y,z * (x / y)). [para(17187(a,1),13292(a,1,1))]. 17190 K(x,K(y,z \ u)) * K(x,y * (u / z)) = K(x,(u / T(z,x)) * y). [hyper(7969,a,17077,a)]. 17192 K(x,(y * (z * u)) / (y * u)) = (u * y) \ ((u * K(x,z)) * y). [hyper(15503,a,17113,a)]. 17193 (x * y) \ ((x * K(z,u)) * y) != w | K(z,(y * (u * x)) / (y * x)) = w. [para(17113(a,1),15503(a,1))]. 17194 K(x,L(T(y,z * (T(u,w) \ v5)),v6,v7)) = K(x,L(T(y,z * (u \ v5)),v6,v7)). [para(8578(a,1),17118(a,1,2,1,2,2))]. 17195 K(x,L(T(y,z * (((u \ w) * u) * v5)),v6,v7)) = K(x,L(T(y,z * (w * v5)),v6,v7)). [para(8731(a,1),17118(a,1,2,1,2,2))]. 17196 K(x,y) * T(z,K(u,w / T(u,v5))) = u * T(u \ (K(x,y) * z),K(u,w)). [hyper(236,a,9390,a,b,17127,a)]. 17197 x * (T(x \ y,z) * K(y,K(u,w))) = T(x * T(x \ y,z),K(u,w)). [para(7923(a,1),17163(a,1,2,2))]. 17198 K(x,(y / T(z,x)) * u) != w | K(x,(y / z) * u) = w. [para(17190(a,1),16493(a,1))]. 17199 x * T(K(y,K(z,u)) * (x \ y),w) = T(x * T(x \ y,w),K(z,u)). [para(16772(a,2),17197(a,1,2))]. 17200 T(x * T(x \ y,z),K(u,w)) = x * T(x \ T(y,K(u,w)),z). [para(16113(a,1),17199(a,1,2,1)),flip(a)]. 17201 K(x,K(y,z / (u * (w \ v5)))) != v6 | K(x,K(y,z / (u * (v5 / w)))) = v6. [para(4968(a,1),17172(a,1,2,2,2,2))]. 17202 K(x,L(T(T(y,z),z * u),z,u)) != w | K(x,(u * (y * z)) / (u * z)) = w. [para(15364(a,2),17193(a,1))]. 17203 K(x / (y * (z * K(u,w))),T(v5,y * z)) = K((y * (z * K(u,w))) \ x,v5). [hyper(16246,a,17010,a)]. 17204 K(x,(y * T(z,u \ 1)) \ w) * K(x,K(w,y * z)) = K(x,w / (y * T(z,1 / u))). [para(3019(a,1),17074(a,1,1,2,1,2))]. 17206 K(K(x,y \ z),u) * K(u,x * (T(z,w) / y)) = K(u,(T(z,w) / y) * x). [para(7935(a,2),17084(a,1,1))]. 17207 K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(w,L(y,y,v7))). [hyper(236,a,17131,a(flip),b,17111,a)]. 17209 K(x,K(y * K(z,u),L(w,K(v5,v6),v7))) = K(x,K(y,w)). [hyper(236,a,11568,a(flip),b,17207,a)]. 17210 K(x,K(y,L(z,K(u,w),v5))) = K(x,K(y,z)). [hyper(17057,a,17209,a)]. 17212 K(x,K(y,z)) * T(u * K(K(y,z) * u,x),K(y,z)) = T(u,x * K(y,z)). [para(13405(a,1),17128(a,1,2,1))]. 17213 K(x,T(y,(z * K(u,w)) / v5)) = K(x,T(y,v5 / z)). [hyper(16404,a,17142,a),flip(a)]. 17214 K(x,T(y,(z / T(u,w)) / v5)) = K(x,T(y,v5 / (z / u))). [para(7555(a,1),17213(a,1,2,2,1))]. 17215 K(x,T(y,z / (u / T(w,v5)))) = K(x,T(y,z / (u / w))). [hyper(9374,a,17214,a)]. 17216 K(x,T(L(y,z,T(x,u)),w / (v5 / T(v6,v7)))) = K(x,T(y,w / (v5 / v6))). [hyper(236,a,9185,a(flip),b,17215,a)]. 17217 K(x,T(y,z / (u / (w / v5)))) = K(x,T(y,z / (u / (v5 \ w)))). [para(121(a,1),17215(a,1,2,2,2,2)),flip(a)]. 17218 T(1 / x,T(y,z / (u / T(w,v5)))) = K(1 / x,T(y,z / (u / w))) / x. [para(17215(a,1),5064(a,1,1)),flip(a)]. 17219 K(x,T(y,z * (u * (w * K(v5,v6))))) = K(x,T(y,z * (u * w))). [hyper(236,a,7956,a(flip),b,17164,a)]. 17220 K(x,T(y,z * (u * (w \ K(v5,v6))))) = K(x,T(y,z * (u * (w \ 1)))). [para(14046(a,1),17219(a,1,2,2,2,2))]. 17221 K(x,K(y,z)) * K(z / x,(z / x) \ y) = K(x \ z,y / (z / x)). [para(9282(a,1),17185(a,1,1))]. 17222 K(x,K(y,z)) * K(z / x,y / (z / x)) = K(x \ z,y / (z / x)). [para(4994(a,2),17221(a,1,2))]. 17223 K(x,K(y,z)) * K(y / x,(x / y) * z) = K(x \ y,z * (x / y)). [para(9210(a,1),17188(a,1,1))]. 17224 K(x,K(y,z)) * K(z / x,(x / z) * y) = K(x \ z,y * (x / z)). [para(7937(a,1),17223(a,1,1))]. 17225 K(x,y) * T(z,K(y,u / T(y,w))) = y * T(L(T(y,x) \ z,T(v5,v6),K(v7,v5)),K(y,u)). [para(6840(a,2),17196(a,2,2,1))]. 17226 (K(T(x,y),L(z,y,u)) * (y * u)) \ (y * u) = K(z,(u * (x * y)) / (u * y)). [hyper(17202,a,11539,a(flip)),flip(a)]. 17227 K(x,K(y,z \ u)) \ K(x,y * (T(u,w) / z)) = K(x,(T(u,w) / z) * y). [hyper(5283,a,17206,a)]. 17228 K(x,K(y,z)) * (K(y,z) \ T(u * K(y,z),x)) = T(u,x * K(y,z)). [para(14120(a,1),17212(a,1,2))]. 17229 K(x,K(y,z)) * (K(z,y) * T(u * K(y,z),x)) = T(u,x * K(y,z)). [para(5260(a,1),17228(a,1,2))]. 17230 K(x,T(y,z)) * T(u * K(y,x),z) = T(u,z * K(y,x)). [hyper(8566,a,17229,a)]. 17231 K(x,y) * T(z * K(y,T(x,u)),u) = T(z,u * K(y,x)). [hyper(236,a,16890,a(flip),b,17230,a(flip)),flip(a)]. 17232 T(x * K(y,T(z,u)),u) = K(y,z) * T(x,u * K(y,z)). [hyper(5285,a,17231,a),flip(a)]. 17235 K(x,y \ z) * T(u,z * K(x,y \ z)) = T(u * K(x,z / y),z). [para(8066(a,1),17232(a,1,1,2)),flip(a)]. 17236 (x * (y * K(z,u))) / T(x * K(z,T(u,y)),y) = R(y,K(z,u),x). [para(17232(a,2),14867(a,2,2)),flip(a)]. 17237 L(x,K(y,T(z,x)),u) = R(x,K(y,z),u). [hyper(236,a,14915,a(flip),b,17236,a(flip)),flip(a)]. 17238 (K(x,T(L(y,z,u),z)) * (z * u)) \ (z * u) = K(y,(u * (x * z)) / (u * z)). [para(7260(a,1),17226(a,1,1,1))]. 17239 (K(x,L(T(y,z),z,u)) * (z * u)) \ (z * u) = K(y,(u * (x * z)) / (u * z)). [para(40(a,2),17238(a,1,1,1,2))]. 17240 ((K(x,T(y,z)) * z) * u) \ (z * u) = K(y,(u * (x * z)) / (u * z)). [para(15367(a,1),17239(a,1,1))]. 17241 K(x,(y * (z * u)) / (y * u)) = ((u * K(z,x)) * y) \ (u * y). [para(8047(a,1),17240(a,1,1,1)),flip(a)]. 17242 T(x,K(K(y,z) * u,w) * v5) = v5 \ T(x * T(v5,K(w,u)),K(w,u)). [para(16999(a,1),17005(a,1,2)),flip(a)]. 17243 T(x,K(K(y,z) * u,w) * v5) = T(x,K(u,w) * v5). [hyper(236,a,15654,a(flip),b,17242,a)]. 17244 T(x,K(K(y,z) * u,w) * v5) != v6 | T(x,K(u,w) * v5) = v6. [para(17242(a,2),15801(a,1))]. 17246 T(x,K(y * K(z,u),w) * v5) = T(x,K(y,w) * v5). [hyper(16748,a,17243,a)]. 17247 T(x,K(y,K(z,u) * w) * v5) = T(x,K(w,y) * v5). [hyper(15799,a,17243,a)]. 17249 K(K(x * K(y,z),u) * w,v5) = (v5 * v6) / (T(v5,K(x,u) * w) * v6). [para(17246(a,1),5187(a,1,2,1)),flip(a)]. 17250 T(x,K(y * (z / u),w) * v5) = T(x,K(y * (u \ z),w) * v5). [para(6448(a,1),17246(a,1,2,1,1)),flip(a)]. 17251 L(K(x,y * K(z,T(u * K(w,v5),v6))),x,v7) = (x * K(v8,v9)) \ (T(x,K(u,z) * y) * K(v8,v9)). [para(17246(a,1),16719(a,2,2,1))]. 17252 T(x,K(y,K(z,u) * (w * v5)) * v6) != v7 | T(x,K(v5 * w,y) * v6) = v7. [para(17247(a,2),16748(a,1))]. 17253 K(K(x * K(y,z),u) * w,v5) = K(K(x,u) * w,v5). [hyper(236,a,5187,a(flip),b,17249,a)]. 17254 K(K(x,y * K(z,u)) * w,v5) = K(K(y,x) * w,v5). [hyper(16368,a,17253,a)]. 17255 K(K(K(x,y) * z,u) * w,v5) = K(K(z,u) * w,v5). [para(7249(a,1),17253(a,1,1,1,1))]. 17256 K(K(x,y * K(z,u)) * w,v5) = K(w * K(y,x),v5). [hyper(236,a,16152,a(flip),b,17254,a)]. 17257 K(x * K(y,K(z,u) * w),v5) = K(K(w,y) * x,v5). [hyper(16274,a,17255,a)]. 17258 K((x * K(y,z)) * K(x,u),w) = K(x * K(y,z),T(w,u)). [hyper(8429,a,17256,a),flip(a)]. 17259 K(x * K(y,K(z,u) * w),v5) = K(x * K(y,w),v5). [hyper(236,a,16266,a(flip),b,17257,a)]. 17260 K(x * K(y,T(z,u)),w) = K(K(z,y) * x,w). [para(1596(a,2),17257(a,1,1,2,2))]. 17261 K(x * K(y,K(z,u) * w),v5) != v6 | K(K(w,y) * x,v5) = v6. [para(17259(a,2),16367(a,1))]. 17262 K(T(x,y) * K(z,u),w) = K(x * K(z,u),T(w,y)). [para(16140(a,1),17258(a,1,1))]. 17263 K(T(x,y) * K(z,u),w) != v5 | K(K(u,z) * x,T(w,y)) = v5. [para(17262(a,2),16367(a,1))]. 17264 K(x * K(y,T(z,u)),w) != v5 | K(K(z,y) * x,w) = v5. [para(1596(a,2),17261(a,1,1,2,2))]. 17265 K((x * (y / x)) * K(z,u),w) != v5 | K(K(u,z) * y,T(w,x)) = v5. [para(15890(a,2),17263(a,1))]. 17268 T(T(K(x,y) * z,K(x,y)) / u,K(K(x,y) * z,w)) = (z * K(x,y)) / T(u,K(z,w)). [para(7981(a,1),17008(a,2,2))]. 17270 K(x,K(y,z)) \ T(u,K(x,y) \ z) = (K(x,y) \ z) \ (u * (z * K(y,x))). [para(8191(a,1),17032(a,1,2,2)),flip(a)]. 17271 (K(x,y) \ z) \ (u * (z * K(y,x))) = z \ T(u * z,K(x,y)). [hyper(236,a,16799,a(flip),b,17270,a(flip))]. 17272 (x * K(y,z)) \ (u * (K(z,y) \ x)) = x \ T(u * x,K(z,y)). [hyper(236,a,16867,a(flip),b,17271,a(flip)),flip(a)]. 17273 (x * K(y,z)) \ (u * (K(z,y) \ x)) = x \ T(u * x,K(y,z)). [para(7981(a,1),17272(a,2,2))]. 17279 T((x * K(y,z)) / u,K(K(y,z) * x,w)) = (x * K(y,z)) / T(u,K(x,w)). [para(7222(a,1),17268(a,1,1,1))]. 17280 (x * K(y,z)) / T(u,K(x,w)) = T((x * K(y,z)) / u,K(w,x)). [hyper(236,a,17003,a(flip),b,17279,a(flip))]. 17282 (x * K(y,z)) / T(u,K(x,w)) = T((x * K(y,z)) / u,K(x,w)). [hyper(236,a,7981,a,b,17280,a)]. 17283 K(x,y) * T(z,K(y,u / T(y,w))) = y * L(T(T(y,x) \ z,K(y,u)),T(v5,v6),K(v7,v5)). [para(40(a,2),17225(a,2,2))]. 17284 T(x,K(y,z / T(y,u))) = T(y,w) * T(T(y,w) \ x,K(y,z)). [hyper(4929,a,17283,a),flip(a)]. 17285 T(x,y) \ T(z,K(x,x * u)) = T(T(x,y) \ z,K(x,u)). [hyper(72,a,9341,a(flip),b,17284,a(flip))]. 17286 T(x,y) \ T(z,K(x,u)) = T(T(x,y) \ z,K(x,u)). [para(9305(a,1),17285(a,1,2))]. 17287 T(T(K(x,y) * z,K(x,y)) \ u,K(K(x,y) * z,w)) = (z * K(x,y)) \ T(u,K(K(x,y) * z,w)). [para(7222(a,1),17286(a,1,1)),flip(a)]. 17288 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(236,a,14083,a,b,17109,a)]. 17289 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(16050(a,1),17288(a,2,3))]. 17290 K(x,K(y,((z \ u) * (w * z)) / (w * u))) = a(y,z,K(x,K(w,u / z))). [hyper(17091,a,17289,a)]. 17292 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),17165(a,1,2,2,1,1)),flip(a)]. 17293 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(16353,a,17292,a)]. 17295 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),17293(a,1,2,2,2))]. 17296 L(K(x,y * K(z,T(u * K(w,v5),v6))),x,v7) = L(K(x,y * K(u,z)),x,v8). [hyper(236,a,16407,a,b,17251,a)]. 17298 L(K(x,y * K(z,T(u * K(w,v5),v6))),x,v7) = K(x,y * K(u,z)). [hyper(236,a,16553,a(flip),b,17296,a)]. 17299 L(K(x,y * K(z,u * K(w,v5))),x,v6) = K(x,y * K(u,z)). [para(118(a,1),17298(a,1,1,2,2,2))]. 17300 K(x,y * K(z,u * K(w,v5))) = K(x,y * K(u,z)). [hyper(16554,a,17299,a)]. 17301 K(x,K(y,K(z,u) * w) * v5) = K(x,v5 * K(w,y)). [hyper(16366,a,17300,a)]. 17303 K(x,K(y,K(z,u) * w) * v5) = K(x,K(w,y) * v5). [hyper(236,a,16154,a,b,17301,a)]. 17304 K(x,K(y,T(z,u) * w) * v5) = K(x,v5 * K(z * w,y)). [para(4906(a,1),17301(a,1,2,1,2))]. 17305 K(x,K(y,K(z,u) * w) * v5) != v6 | K(x,K(w,y) * v5) = v6. [para(17301(a,2),16182(a,1))]. 17306 K(x,y * K(K(z,u) * w,v5)) = K(x,K(w,v5) * y). [hyper(16361,a,17303,a)]. 17307 K(x,K(T(y,z) \ u,w) * v5) = K(x,K(w,y \ u) * v5). [para(5178(a,1),17303(a,1,2,1,2)),flip(a)]. 17308 K(x,K(y,T(z,u) \ w) * v5) = K(x,K(y,z \ w) * v5). [hyper(15676,a,17307,a)]. 17309 K(x,K(y,(z / u) \ w) * v5) = K(x,K(y,(u \ z) \ w) * v5). [para(121(a,1),17308(a,1,2,1,2,1)),flip(a)]. 17311 K(x,K(y * K(z,u),w) * v5) != v6 | K(x,K(y,w) * v5) = v6. [para(16721(a,2),17305(a,1))]. 17312 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(11559(a,1),17162(a,1,1))]. 17313 T(T(K(x,y) * z,K(x,y)) \ u,K(K(x,y) * z,w)) = (z * K(x,y)) \ T(u,K(w,z)). [para(17003(a,1),17287(a,2,2))]. 17314 T(T(K(x,y) * z,K(x,y)) \ u,K(K(x,y) * z,w)) = (z * K(x,y)) \ T(u,K(z,w)). [para(7981(a,1),17313(a,2,2))]. 17316 T((x * K(y,z)) \ u,K(K(y,z) * x,w)) = (x * K(y,z)) \ T(u,K(x,w)). [para(7222(a,1),17314(a,1,1,1))]. 17317 (x * K(y,z)) \ T(u,K(x,w)) = T((x * K(y,z)) \ u,K(w,x)). [hyper(236,a,17003,a(flip),b,17316,a(flip))]. 17319 (x * K(y,z)) \ T(u,K(x,w)) = T((x * K(y,z)) \ u,K(x,w)). [hyper(236,a,7981,a,b,17317,a)]. 17320 K(x,T((y * K(z,u)) / T(w,K(y,v5)),T((y * K(z,u)) \ w,K(y,v5)))) = K(x,(y * K(z,u)) / T(w,K(y,v5))). [para(17319(a,1),5241(a,1,2,2))]. 17321 K(T(x,y) / (x / y),((x / y) / T(x,y)) * T(z,x)) = K((x * y) / x,z * ((x / y) / T(x,y))). [hyper(16727,a,16928,a)]. 17323 K((x * y) / x,z * ((x / y) / T(x,y))) = K(y,((x / y) / T(x,y)) * T(z,x)). [hyper(236,a,8676,a(flip),b,17321,a(flip))]. 17325 K((x * y) / x,z * ((x / y) / T(x,y))) = K(y,((x / y) / x) * T(z,x)). [hyper(236,a,8238,a(flip),b,17323,a)]. 17326 K(x,T(y * ((z / x) / T(z,x)),z)) = K(x,((z / x) / z) * T(y,z)). [hyper(8410,a,17325,a)]. 17327 K(x,T(y * ((z / x) / z),z)) = K(x,((z / x) / z) * T(y,z)). [hyper(236,a,8715,a(flip),b,17326,a(flip)),flip(a)]. 17328 K(x,T(((y / x) / y) * z,y)) = K(x,((y / x) / y) * T(z,y)). [hyper(236,a,16579,a,b,17327,a(flip)),flip(a)]. 17329 K(x,((y / x) / y) * T(T(z,y),y)) = K(x,z * ((y / x) / y)). [hyper(16930,a,17328,a),flip(a)]. 17330 K(x,((y / x) / y) * T(T(T(z,(y / x) / y),y),y)) = K(x,z * ((z * ((y / x) / y)) / z)). [para(3875(a,1),17329(a,2,2))]. 17331 K(x,T(T(y,z),z) * ((z / x) / z)) = K(x,y * ((y * ((z / x) / z)) / y)). [para(404(a,1),17330(a,1,2))]. 17332 K(x,T(y * ((z / x) / z),y)) = K(x,T(T(y,z),z) * ((z / x) / z)). [hyper(236,a,13038,a(flip),b,17331,a),flip(a)]. 17333 K(x,T(T(y,z),z) * ((z / x) / z)) = K(x,((z / x) / z) * y). [hyper(13066,a,17332,a),flip(a)]. 17334 K(x / (K(y,z) / R(y,u,u \ 1)),T(w,L(T(y,z),u,u \ 1))) = K((K(y,z) / R(y,u,u \ 1)) \ x,w). [para(15341(a,1),16025(a,1,2))]. 17335 K(x,L(T(((y \ z) \ 1) \ y,T(y,z)),z * (y / z),u)) = K(x,(u * ((y \ z) \ 1)) \ (u * T(y,z))). [para(13109(a,1),16589(a,1,2,1))]. 17336 K(x,L(T(((y \ z) \ 1) \ y,y),z * (y / z),u)) = K(x,(u * ((y \ z) \ 1)) \ (u * T(y,z))). [hyper(16412,a,17335,a)]. 17337 K(x / (K(y,z) / R(y,u,u \ 1)),T(w,T(y,z))) = K((K(y,z) / R(y,u,u \ 1)) \ x,w). [para(14362(a,1),17334(a,1,2))]. 17338 K(x / (K(y,z) / R(y,u,u \ 1)),T(w,y)) = K((K(y,z) / R(y,u,u \ 1)) \ x,w). [hyper(16239,a,17337,a)]. 17341 K(x * (R(y,z,z \ 1) * K(u,y)),T(w,y)) = K((K(y,u) / R(y,z,z \ 1)) \ x,w). [hyper(236,a,14194,a(flip),b,17338,a(flip)),flip(a)]. 17342 K(x * R(y * K(z,y),u,u \ 1),T(w,y)) = K((K(y,z) / R(y,u,u \ 1)) \ x,w). [para(14066(a,2),17341(a,1,1,2))]. 17343 K(x,T(T((y * K(z,u)) / w,K(y,v5)),T((y * K(z,u)) \ w,K(y,v5)))) = K(x,(y * K(z,u)) / T(w,K(y,v5))). [para(17282(a,1),17320(a,1,2,1))]. 17344 K(x,T(T((y * K(z,u)) / w,K(y,v5)),(y * K(z,u)) \ w)) = K(x,(y * K(z,u)) / T(w,K(y,v5))). [hyper(16239,a,17343,a)]. 17346 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),16941(a,1,1,1))]. 17347 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),17346(a,1,1,3)),flip(a)]. 17348 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),y \ (y * z)). [para(6411(a,1),17347(a,2,2))]. 17349 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(T(x,z),z). [para(13(a,1),17348(a,2,2,2))]. 17350 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = a(z,x,z) * K(x,z). [para(4988(a,1),17349(a,2,2))]. 17351 K(x * (1 / ((y * z) \ y)),1 / ((y * z) \ y)) = K(z * x,z). [hyper(236,a,9053,a(flip),b,17350,a)]. 17352 K(x * (1 / ((y * z) \ y)),y \ (y * z)) = K(z * x,z). [hyper(6478,a,17351,a)]. 17353 K(x * (1 / ((y * z) \ y)),z) = K(z * x,z). [para(13(a,1),17352(a,1,2))]. 17354 K(x * (((y * z) \ y) \ 1),z) = K(z * x,z). [hyper(5631,a,17353,a)]. 17355 K(((x * y) \ x) \ z,y) = K(y * z,y). [hyper(9900,a,17354,a)]. 17356 K(((x * y) \ x) \ (y \ z),y) = K(z,y). [para(14(a,1),17355(a,2,1))]. 17357 K((1 / ((x * y) \ x)) \ z,y) = K(y \ z,y). [hyper(236,a,10393,a(flip),b,17356,a(flip))]. 17358 K((((x * y) \ x) \ 1) \ z,y) = K(y \ z,y). [hyper(14302,a,17357,a)]. 17360 K(x * ((y * z) \ y),z) = K(z \ x,z). [hyper(236,a,6771,a(flip),b,17358,a(flip)),flip(a)]. 17362 K(x * ((y * z) \ z),y) = K(y \ x,y). [hyper(236,a,11065,a(flip),b,17360,a(flip)),flip(a)]. 17363 K((x \ y) \ z,x \ y) = K(z * (y \ x),x \ y). [para(14(a,1),17360(a,1,1,2,1)),flip(a)]. 17364 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(17362(a,1),13449(a,1,1,1,2))]. 17365 K((x \ y) \ z,x \ y) = K(z * (x / y),x \ y). [hyper(236,a,9660,a,b,17363,a)]. 17366 x * K(x * (y / z),y \ z) = ((y \ z) \ x) * (y \ z). [para(17365(a,1),249(a,1,2))]. 17367 ((1 / (x \ y)) \ z) * (1 / (x \ y)) = ((y \ x) \ z) * (y \ x). [hyper(236,a,9669,a,b,17366,a(flip)),flip(a)]. 17368 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(17367(a,1),16884(a,1,1,1,2,1,2))]. 17369 T((x \ y) * x,(x * z) \ z) \ T(y,T((x * z) \ z,T(x,u))) = K(x,y * ((x * z) \ z)). [para(249(a,1),17364(a,1,1,1))]. 17371 T((x \ y) * x,z \ (x \ z)) \ T(y,T((x * z) \ z,T(x,u))) = K(x,y * ((x * z) \ z)). [para(8607(a,1),17369(a,1,1))]. 17372 T((x \ y) * x,z \ (x \ z)) \ T(y,T((x * z) \ z,x)) = K(x,y * ((x * z) \ z)). [para(118(a,1),17371(a,1,2,2,2))]. 17373 T((x \ y) * x,z \ (x \ z)) \ T(y,T(z \ (x \ z),x)) = K(x,y * ((x * z) \ z)). [para(9510(a,1),17372(a,1,2))]. 17374 T((x \ y) * x,z \ (x \ z)) \ T(y,z \ (x \ z)) = K(x,y * ((x * z) \ z)). [para(3033(a,1),17373(a,1,2))]. 17375 K(x,T(x \ y,z \ (x \ z))) = K(x,y * ((x * z) \ z)). [hyper(11200,a,17374,a)]. 17376 K(x,T(x \ y,z \ z)) = K(x,y * ((x * z) \ z)). [hyper(236,a,9574,a(flip),b,17375,a(flip)),flip(a)]. 17377 K(x,y * ((x * z) \ z)) = K(x,x \ y). [para(148(a,1),17376(a,1,2)),flip(a)]. 17378 K(x,y * ((z * x) \ z)) = K(x,x \ y). [hyper(236,a,11064,a,b,17377,a(flip)),flip(a)]. 17380 x * K(y,x * ((z * y) \ z)) = y * (x / y). [para(17378(a,2),5079(a,1,2))]. 17381 (1 / ((x * y) \ x)) * (z / (L(1 / y,y,x) \ 1)) = y * (z / y). [hyper(236,a,13783,a,b,17380,a(flip)),flip(a)]. 17383 (1 / (((x / (y * x)) * y) \ y)) * (z / (L(1 / R(y \ 1,y,x),R(y \ 1,y,x),y) \ 1)) = R(y \ 1,y,x) * (z / R(y \ 1,y,x)). [para(635(a,2),17381(a,1,1,2,1))]. 17384 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(R(w,K(z,u),v5),L(y,K(z,u) * v5,v6))). [hyper(16303,a,17150,a),flip(a)]. 17386 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * (K(z,u) * v5)))) = K(x,K(w,L(L(y,K(z,u) * v5,v6),K(z,u),v5))). [para(15351(a,1),17384(a,2,2))]. 17387 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(236,a,17210,a(flip),b,17386,a)]. 17388 K(x,K(y,(((K(z,u) * w) * v5) * v6) / (v6 * v5))) = K(x,K(w,L(y,K(z,u) * v5,v6))). [hyper(17172,a,17387,a)]. 17391 K(x,K(y,L(K(z,u) * w,v5,v6))) = K(x,K(w,L(y,K(z,u) * v5,v6))). [hyper(236,a,17108,a(flip),b,17388,a(flip)),flip(a)]. 17392 K(x,K(y,L(z,K(u,w) * v5,v6))) = K(x,K(y,L(z,v5,v6))). [hyper(236,a,17068,a(flip),b,17391,a(flip))]. 17393 L(K(x,K(y,z)),K(u,w) * v5,v6) = K(y,K(z,L(x,v5,v6))). [hyper(11566,a,17392,a)]. 17395 K(x,K(y,L(z,K(u,w) / v5,v6))) = K(x,K(y,L(z,1 / v5,v6))). [para(14500(a,1),17392(a,1,2,2,2))]. 17396 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(236,a,14372,a,b,17393,a)]. 17397 a(x,K(y,z) * u,K(w,K(v5,v6))) = a(x,u,K(w,K(v5,v6))). [hyper(14373,a,17396,a)]. 17398 a(x,y * (z / y),K(u,K(w,v5))) = a(x,z,K(u,K(w,v5))). [para(4909(a,1),17397(a,1,2))]. 17399 a(x,y / z,K(u,K(w,v5))) = a(x,z \ y,K(u,K(w,v5))). [para(4927(a,1),17397(a,1,2))]. 17400 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K((1 / y) / w,K(z,u))). [hyper(236,a,12158,a(flip),b,17398,a(flip))]. 17401 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K(z,K(u,(1 / y) / w))). [para(7923(a,2),17400(a,2,3))]. 17402 a(x,1 / y,K(z,K(u,w * y))) = a(x,w,K(z,K(u,w * y))). [para(12155(a,1),17401(a,2,3))]. 17403 a(x,1 / (y \ z),K(u,K(w,z))) = a(x,y,K(u,K(w,y * (y \ z)))). [para(14(a,1),17402(a,1,3,2,2))]. 17404 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(u,K(w,y * (y \ z)))). [para(7923(a,1),17403(a,1,3))]. 17405 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(u,K(w,z))). [para(14(a,1),17404(a,2,3,2,2))]. 17406 a(x,1 / (y \ z),K(z,K(u,w))) = a(x,y,K(z,K(u,w))). [para(7923(a,1),17405(a,2,3))]. 17407 a(x,1 / y,K(z,K(u,w))) = a(x,z / y,K(z,K(u,w))). [para(65(a,1),17406(a,1,2,2))]. 17408 a(x,1 / y,K(z,K(u,w))) = a(x,w / y,K(w,K(z,u))). [para(7923(a,2),17407(a,1,3))]. 17409 a(x,1 / y,K(z,K(u,w))) = a(x,w / y,K(z,K(u,w))). [para(7923(a,2),17408(a,2,3))]. 17410 a(x,1 / y,K(z,K(u,w))) = a(w,u / y,K(z,K(x,u))). [hyper(236,a,14330,a,b,17409,a(flip)),flip(a)]. 17411 a(x,1 / y,K(z,K(u,w))) = a(w,u / y,K(z,K(u,x))). [para(7937(a,1),17410(a,2,3))]. 17412 ((K(x,y) * z) * L(u,z,K(y,x))) \ (K(x,L(y,z,u)) * (z * u)) = (u * (K(x,L(y,z,u)) * z)) \ (u * (z * K(x,T(y,z)))). [para(11487(a,1),15966(a,2,2))]. 17413 ((K(x,y) * z) * L(u,z,K(y,x))) \ (K(x,L(y,z,u)) * (z * u)) = (u * (K(x,L(y,z,u)) * z)) \ (u * (K(x,y) * z)). [para(7281(a,1),17412(a,2,2,2))]. 17414 ((K(x,y) * z) * L(u,z,K(y,x))) \ ((K(x,y) * z) * u) = (u * (K(x,L(y,z,u)) * z)) \ (u * (K(x,y) * z)). [para(15367(a,1),17413(a,1,2))]. 17415 (x * (K(y,L(z,u,x)) * u)) \ (x * (K(y,z) * u)) = a(y,u,K(z,x)). [hyper(14769,a,17414,a),flip(a)]. 17416 (x * (K(y,L(z,u,x)) * u)) \ (x * (K(y,z) * u)) != w | a(y,u,K(z,x)) = w. [para(17414(a,1),14769(a,1))]. 17417 (x * (K((y * z) \ u,L(y,w,x)) * w)) \ (x * (K(z \ (y \ u),y) * w)) = a((y * z) \ u,w,K(y,x)). [para(8318(a,1),17415(a,1,2,2,1))]. 17418 (x * (K(y \ (z \ u),L(z,w,x)) * w)) \ (x * (K(y \ (z \ u),z) * w)) = a((z * y) \ u,w,K(z,x)). [para(11624(a,1),17417(a,1,1,2,1))]. 17419 a((x * y) \ z,u,K(x,w)) = a(y \ (x \ z),u,K(x,w)). [hyper(17416,a,17418,a),flip(a)]. 17420 a((x * y) \ z,u,K(x,w)) = a(w,u,K(y \ z,x)). [hyper(14031,a,17419,a(flip)),flip(a)]. 17421 (1 / ((x / (y * x)) \ 1)) * (z / (L(1 / R(y \ 1,y,x),R(y \ 1,y,x),y) \ 1)) = R(y \ 1,y,x) * (z / R(y \ 1,y,x)). [para(3107(a,1),17383(a,1,1,2))]. 17422 (x / (y * x)) * (z / (L(1 / R(y \ 1,y,x),R(y \ 1,y,x),y) \ 1)) = R(y \ 1,y,x) * (z / R(y \ 1,y,x)). [hyper(290,a,17421,a)]. 17424 (x / (y * x)) * (z / (L(R(1 / y,y,x) \ 1,R(y \ 1,y,x),y) \ 1)) = R(y \ 1,y,x) * (z / R(y \ 1,y,x)). [para(3508(a,1),17422(a,1,2,2,1,1))]. 17425 R(x \ 1,x,y) * (z / R(x \ 1,x,y)) = (y / (x * y)) * (z / ((1 / (y / (x * y))) \ 1)). [para(3530(a,1),17424(a,1,2,2,1)),flip(a)]. 17426 R(x \ 1,x,y) * (z / R(x \ 1,x,y)) = (y / (x * y)) * (z / (y / (x * y))). [para(65(a,1),17425(a,2,2,2))]. 17428 ((x * K(x * (y \ z),z \ y)) \ u) \ (K(z \ y,(y \ z) * x) * (x \ T(u,w / (x * K(x * (y \ z),z \ y))))) = T(K(u,K(z \ y,(y \ z) * x) * (x \ w)),(x * K(x * (y \ z),z \ y)) \ u). [para(13779(a,1),14495(a,2,1,2))]. 17429 K(x,(y / z) / y) = K(x,y \ (z \ y)). [para(594(a,1),8261(a,1,2,2)),flip(a)]. 17430 (x / (x / y)) * ((x / y) / z) = y * ((y \ x) / z). [para(594(a,1),14588(a,1,2,1)),flip(a)]. 17431 K(x,(y / z) / y) = K(x,y / (y * z)). [hyper(236,a,8563,a,b,17429,a)]. 17433 K(x,y) * a(y,z,K(x,u / (u * w))) = L(K(x,y),z,(u / w) / u). [para(17431(a,1),14015(a,1,2,3))]. 17434 (x / (x / y)) \ (y * ((y \ x) / z)) = (x / y) / z. [hyper(80,a,17430,a)]. 17436 K(x,x \ y) * ((x \ y) / z) = (y / x) / z. [hyper(5883,a,17434,a)]. 17437 K(x,x \ (x * y)) * ((x \ (x * y)) / z) = (y * K(x,y)) / z. [para(4854(a,1),17436(a,2,1))]. 17438 K(x,T(y \ z,y) / u) = K(x,(z / y) / u). [para(17436(a,1),15684(a,1,2)),flip(a)]. 17439 K(x,y) * ((x \ (x * y)) / z) = (y * K(x,y)) / z. [para(13(a,1),17437(a,1,1,2))]. 17440 (x * K(y,x)) / z = K(y,x) * (x / z). [para(13(a,1),17439(a,1,2,1)),flip(a)]. 17441 L(K(x,y),z,(u / w) / u) != v5 | L(K(x,y),z,u / (u * w)) = v5. [para(17433(a,1),14337(a,1))]. 17442 L(K(x,y / x),y,z / (z * x)) = K(x,y * ((z / x) / z)). [hyper(17441,a,16563,a)]. 17443 K(x,y * ((z / x) / z)) = K(x,y / x). [hyper(16554,a,17442,a),flip(a)]. 17446 K(x,T(T(y,z),z) / x) = K(x,((z / x) / z) * y). [hyper(236,a,17333,a(flip),b,17443,a(flip))]. 17447 K(x,T(T(y,z) / x,z)) = K(x,((z / x) / z) * y). [hyper(16818,a,17446,a)]. 17449 K(x,T(T(y / x,z),z)) = K(x,((z / x) / z) * y). [hyper(236,a,16856,a(flip),b,17447,a(flip)),flip(a)]. 17450 K(x,((y / x) / y) * z) = K(x,z / x). [hyper(8174,a,17449,a),flip(a)]. 17452 K(x / y,z / (x / y)) = K(x / y,(y / x) * z). [hyper(236,a,10461,a(flip),b,17450,a(flip))]. 17454 K(x,K(y,z)) * K(z / x,(x / z) * y) = K(x \ z,y / (z / x)). [para(17452(a,1),17222(a,1,2))]. 17455 K(x \ y,z / (y / x)) = K(x \ y,z * (x / y)). [hyper(236,a,17224,a(flip),b,17454,a(flip))]. 17456 x * K(y \ z,x * (y / z)) = (y \ z) * (x / (y \ z)). [para(17455(a,1),8595(a,1,2))]. 17457 (1 / (x \ y)) * (z / (1 / (x \ y))) = (y \ x) * (z / (y \ x)). [hyper(236,a,9668,a,b,17456,a(flip)),flip(a)]. 17458 K(((x \ y) * ((z * (((x \ y) \ u) * (x \ y))) / (x \ y))) \ u,w) = K(1 / z,T(w,u / (1 / (y \ x)))). [para(17457(a,1),17368(a,1,1,1))]. 17459 K(1 / x,T(y,z / (1 / (u \ w)))) = K(1 / x,T(y,z / (w \ u))). [hyper(16886,a,17458,a),flip(a)]. 17460 K(1 / x,T(y,z / (1 / (u \ w)))) = K(1 / x,T(y,z / (u / w))). [hyper(236,a,16973,a,b,17459,a)]. 17461 K(1 / x,T(y,z / (1 / (u / w)))) = K(1 / x,T(y,z / (w / u))). [hyper(236,a,17217,a,b,17460,a(flip)),flip(a)]. 17462 K(1 / x,T(y,z / (u / w))) = K(1 / x,T(y,(w / u) * z)). [hyper(16372,a,17461,a),flip(a)]. 17463 T(1 / x,T(y,z / (u / T(w,v5)))) = K(1 / x,T(y,(w / u) * z)) / x. [para(17462(a,1),17218(a,2,1))]. 17464 T(1 / x,T(y,z / (u / T(w,v5)))) = T(1 / x,T(y,(w / u) * z)). [hyper(236,a,5064,a(flip),b,17463,a)]. 17465 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(17464(a,1),2716(a,1,1))]. 17466 T(L(x,y,z),T(u,w / (v5 / T(v6,v7)))) = T(L(x,y,z),T(u,(v6 / v5) * w)). [hyper(236,a,10817,a(flip),b,17465,a(flip))]. 17468 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(17466(a,1),15267(a,1,1,1)),flip(a)]. 17469 K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = K(T(x,(u / z) * y),L(v5,v6,v7)). [hyper(236,a,15267,a(flip),b,17468,a)]. 17470 K(T(x,y / (z / T(u,w))),L(v5,v6,v7)) = K(x,T(L(v5,v6,v7),(u / z) * y)). [hyper(236,a,7260,a(flip),b,17469,a)]. 17471 K(x,T(L(y,z,u),w / (v5 / T(v6,v7)))) = K(x,T(L(y,z,u),(v6 / v5) * w)). [hyper(7823,a,17470,a)]. 17472 K(x,T(L(y,z,u),w / (v5 / v6))) = K(x,T(L(y,z,u),(v6 / v5) * w)). [hyper(236,a,17215,a(flip),b,17471,a(flip)),flip(a)]. 17473 K(x,T(L(y,z,T(x,u)),(T(w,v5) / v6) * v7)) = K(x,T(y,v7 / (v6 / w))). [hyper(236,a,17216,a(flip),b,17472,a(flip))]. 17474 K(x,T(y,(T(z,u) / w) * v5)) = K(x,T(y,v5 / (w / z))). [hyper(236,a,9185,a(flip),b,17473,a(flip)),flip(a)]. 17475 K(x,T(y,z / (u / w))) = K(x,T(y,(w / u) * z)). [para(118(a,1),17474(a,1,2,2,1,1)),flip(a)]. 17477 K(x,T(y,z / (u \ w))) = K(x,T(y,(u / w) * z)). [hyper(236,a,16973,a(flip),b,17475,a(flip)),flip(a)]. 17478 K(x,y) * K(x,K(y,(z / u) * w)) = K(x,T(y,w / (z \ u))). [hyper(236,a,7883,a,b,17477,a),flip(a)]. 17479 K(x,K(y,z / (u / w))) = K(x,K(y,(w / u) * z)). [hyper(17,a,16996,a,b,17478,a),flip(a)]. 17480 K(x,K(y,(z / u) / w)) = K(x,K(y,(u / z) * w)). [hyper(9361,a,17479,a)]. 17481 K(x,K(y,((z / u) / z) * w)) = K(x,K(y,w / u)). [hyper(236,a,17082,a(flip),b,17479,a(flip))]. 17482 K(x,K(y,(z / (z * u)) * w)) = K(x,K(y,w / u)). [hyper(236,a,17038,a(flip),b,17479,a(flip))]. 17483 L(K(x,K(y,(z / u) * w)),v5,v6) = K(y,K(w / (z \ u),L(x,v5,v6))). [para(17479(a,1),17095(a,1,1))]. 17484 K(x,K(y,z * (u / (u * w)))) = K(x,K(y,z / w)). [hyper(16073,a,17482,a)]. 17485 K(x,K(y,z / (u \ w))) = K(x,K(y,z * (u / w))). [para(14(a,1),17484(a,1,2,2,2,2)),flip(a)]. 17486 K(x,K(y / (z \ u),L(w,v5,v6))) = K(x,K((z / u) * y,L(w,v5,v6))). [hyper(11560,a,17483,a),flip(a)]. 17487 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u * y) / (y * (y \ z)))). [hyper(236,a,17149,a(flip),b,17486,a(flip))]. 17488 K(x,K(((y / z) / y) * u,L(w,v5,v6))) = K(x,K(u / z,L(w,v5,v6))). [para(65(a,1),17486(a,1,2,1,2)),flip(a)]. 17489 K(x,K(y * ((z / u) / z),L(w,v5,v6))) = K(x,K(y / u,L(w,v5,v6))). [hyper(16304,a,17488,a)]. 17490 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u * y) / z)). [para(14(a,1),17487(a,2,2,2,2))]. 17491 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(y * u) / z)). [hyper(236,a,17051,a,b,17490,a)]. 17492 K(x,K((y / z) * u,L(w,z,y))) != v5 | K(x,K(w,(y * u) / z)) = v5. [para(17490(a,2),17090(a,1))]. 17493 K(x,K((y / z) / u,L(w,z,y))) = K(x,K(w,(y * ((v5 / u) / v5)) / z)). [hyper(236,a,17489,a(flip),b,17491,a(flip)),flip(a)]. 17494 K(x,K((y / z) / u,L(w,z,y))) = K(x,K(w,(y * (1 / u)) / z)). [para(14135(a,1),17491(a,1,2))]. 17495 K(x,K((y / z) * u,L(w,z,y))) != v5 | K(x,K(w,(u * y) / z)) = v5. [para(17491(a,2),17090(a,1))]. 17497 K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K(y,(z * (1 / w)) / v5)). [hyper(236,a,17494,a(flip),b,17493,a(flip))]. 17498 K(x,K((y / z) / (1 / u),L(w,z,y))) = K(x,K(w,(T(y,u) / (1 / u)) / z)). [para(3793(a,2),17493(a,2,2,2,1))]. 17499 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(T(y,u) / (1 / u)) / z)). [para(14138(a,1),17498(a,1,2))]. 17500 K(x,K(y,(T(z,u) / (1 / u)) / w)) = K(x,K(y,(z * u) / w)). [hyper(17492,a,17499,a),flip(a)]. 17501 K(x,K(y,((1 / z) / T(u,z)) * w)) = K(x,K(y,(u * z) / w)). [hyper(236,a,17480,a(flip),b,17500,a(flip)),flip(a)]. 17502 K(x,K(y,z * ((1 / u) / w))) = K(x,K(y,(w * u) / z)). [hyper(17153,a,17501,a)]. 17503 K(x,K(y,((z \ 1) / u) * w)) = K(x,K(y,(u * z) / w)). [hyper(236,a,17168,a,b,17502,a(flip)),flip(a)]. 17504 K(x,K(y,(z * (1 / u)) / w)) = K(x,K(y,(u / z) * w)). [hyper(236,a,17166,a(flip),b,17502,a(flip))]. 17505 K(x,K(y,((z / (z / (u \ 1))) / w) * v5)) = K(x,K(y,(w * u) / v5)). [hyper(17169,a,17503,a)]. 17506 K(x,K(y,z / ((1 / u) * w))) = K(x,K(y,(u / w) * z)). [hyper(17110,a,17504,a)]. 17507 K(x,K(y,(z * ((u / w) / u)) / v5)) = K(x,K(y,(w / z) * v5)). [hyper(236,a,17497,a,b,17504,a(flip)),flip(a)]. 17508 K(x,K(y,(z / u) * (u * ((1 / z) * w)))) = K(x,K(y,L(w,1 / z,u))). [hyper(236,a,16247,a(flip),b,17504,a(flip))]. 17509 K(x,K((y / z) * u,L(w,y / z,z))) = K(x,K(w,(u / z) * y)). [hyper(236,a,15462,a,b,17506,a(flip)),flip(a)]. 17510 K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) = K(x,K(y,v5 / (((z / (z / u)) / z) * w))). [para(15094(a,1),17506(a,1,2,2,2,1)),flip(a)]. 17511 K(x,K(y,((1 / z) * u) / (((1 / z) * u) * w))) = K(x,K(y,(z / u) * (((1 / z) * u) / w))). [para(17431(a,1),17506(a,1,2))]. 17512 K(x,K(y,z / (((u / w) / u) * v5))) = K(x,K(y,(w / v5) * z)). [hyper(17110,a,17507,a)]. 17513 K(x,K((y / z) * u,L(w,y,z))) = K(x,K(w,(u / z) * y)). [hyper(236,a,15054,a(flip),b,17509,a(flip)),flip(a)]. 17514 K(x,K(y,((z / (z / ((u / z) \ 1))) / w) * v5)) = K(x,K(y,((z / u) / w) * v5)). [hyper(236,a,17512,a(flip),b,17510,a)]. 17516 K(x,K(y,(z * (u / w)) / v5)) = K(x,K(y,((w / u) / z) * v5)). [hyper(236,a,17505,a(flip),b,17514,a(flip)),flip(a)]. 17517 K(x,K(y,((z / u) * w) / v5)) = K(x,K(y,((u / z) / w) * v5)). [hyper(17090,a,17516,a)]. 17519 K(x,K(y,z / ((u \ w) * v5))) = K(x,K(y,((u / w) / v5) * z)). [hyper(236,a,17144,a(flip),b,17516,a(flip)),flip(a)]. 17520 K(x,K(y,((z \ u) * w) / v5)) = K(x,K(y,((z / u) / w) * v5)). [hyper(9361,a,17519,a)]. 17521 K(x,K(y,((z / u) / T(w,z \ u)) * v5)) = K(x,K(y,v5 / (w * (z \ u)))). [para(119(a,1),17519(a,1,2,2,2)),flip(a)]. 17522 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,z,K(x,K(w,u / z))). [hyper(236,a,17290,a(flip),b,17520,a(flip))]. 17523 K(x,K(y,(z * u) * ((w / u) / (z * w)))) = a(x,w,K(y,K(z,u / w))). [hyper(16072,a,17522,a)]. 17525 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,(u / z) * z,K(x,K(w,u / z))). [hyper(236,a,14583,a,b,17522,a)]. 17526 a(x,y,K(z,K(u,w / y))) != v5 | K(x,K(z,((y / w) / (u * y)) * (u * w))) = v5. [para(17522(a,1),7921(a,1))]. 17527 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(x,u,K(y,K(z / u,w / u))). [para(16(a,1),17523(a,1,2,2,2,2))]. 17528 K(x,K(y,z / (u * (w \ v5)))) = K(x,K(y,z * ((w / v5) / u))). [hyper(17153,a,17521,a),flip(a)]. 17529 K(x,K(y,z / (u * (w / v5)))) = K(x,K(y,z * ((v5 / w) / u))). [hyper(17201,a,17528,a)]. 17530 K(x,K(y,(z * u) * ((w / u) / z))) = K(x,K(w,L(y,u,z))). [hyper(236,a,16100,a(flip),b,17529,a(flip))]. 17531 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(y,u,K(x,K(w,u / z))). [para(16(a,1),17525(a,2,2))]. 17532 K(x,K(y,(z / u) * (((1 / z) * u) / (((1 / z) * u) * w)))) = K(x,K(y,1 / (w * ((1 / z) * u)))). [para(16460(a,1),17511(a,1,2)),flip(a)]. 17533 K(x,K(y,(z / u) * (((1 / z) * u) / (((1 / z) * u) * w)))) = K(x,K(y,w * ((1 / z) * u))). [hyper(236,a,9256,a(flip),b,17532,a)]. 17534 K(x,K(y,z * ((1 / u) * w))) = K(x,K(y,(u / w) / z)). [hyper(236,a,17484,a(flip),b,17533,a(flip))]. 17536 K(x,K(y,z * ((1 / u) * w))) = K(x,K(y,(w / u) * z)). [hyper(236,a,17480,a(flip),b,17534,a)]. 17537 K(x,K(y,z * (u * (1 / w)))) = K(x,K(y,(u / w) * z)). [hyper(17092,a,17536,a)]. 17538 K(x,K(y,z * L(u,w,1 / w))) = K(x,K(y,((w * u) / w) * z)). [para(430(a,1),17536(a,1,2,2,2))]. 17539 K(x,K(y,z * L(u,w,1 / w))) = K(x,K(y,u * z)). [hyper(236,a,17047,a(flip),b,17538,a)]. 17541 K(x,K(y,R(z / u,w,v5) * (w * v5))) = K(x,K(y,(((1 / u) * z) * w) * v5)). [hyper(236,a,17295,a(flip),b,17539,a(flip))]. 17543 K(x,K(y,(((1 / z) * u) * w) * v5)) = K(x,K(y,((u / z) * w) * v5)). [para(113(a,1),17541(a,1,2,2)),flip(a)]. 17544 K(x,K(y,(z * ((1 / u) * w)) * v5)) = K(x,K(y,((w / u) * z) * v5)). [hyper(17089,a,17543,a)]. 17545 K(x,K(y,((z / u) * w) * T(v5,v6))) = K(x,K(y,v5 * (w * ((1 / u) * z)))). [hyper(17076,a,17544,a),flip(a)]. 17546 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) * (1 / v5))). [hyper(16415,a,17544,a)]. 17547 K(x,K(y,z * (u * ((1 / w) * v5)))) = K(x,K(y,z * ((v5 / w) * u))). [hyper(17076,a,17545,a),flip(a)]. 17548 K(x,K(y,z * (((u / (1 / w)) / w) * v5))) = K(x,K(y,z * (v5 * u))). [hyper(17151,a,17547,a),flip(a)]. 17549 K(x,K(y,z * (((1 / u) * w) * v5))) = K(x,K(y,z * ((w / u) * v5))). [hyper(17092,a,17547,a)]. 17550 K(x,K(y,(z / u) * ((w / z) * u))) = K(x,K(y,L(w,1 / z,u))). [hyper(236,a,17508,a(flip),b,17547,a(flip))]. 17551 K(x,K(y,((z / u) / w) * (u / (1 / w)))) = K(x,K(y,L(z,1 / u,1 / w))). [hyper(236,a,17537,a(flip),b,17550,a(flip)),flip(a)]. 17552 K(x,K(y,z * (((u / (1 / w)) / w) * T(v5,v6)))) = K(x,K(y,(v5 * u) * z)). [hyper(236,a,17130,a(flip),b,17548,a)]. 17553 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((w / u) * z) / v5)). [hyper(236,a,12154,a(flip),b,17546,a)]. 17554 K(x,K(y,(z * ((1 / u) * w)) / v5)) = K(x,K(y,((u / w) / z) * v5)). [hyper(236,a,17517,a(flip),b,17553,a)]. 17555 K(x,K(y,z / (u * ((1 / w) * v5)))) = K(x,K(y,((w / v5) / u) * z)). [hyper(9361,a,17554,a)]. 17556 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = K(x,K(y,a(w,1 / z,u))). [para(13972(a,1),17555(a,1,2)),flip(a)]. 17557 K(x,K(y,z * ((u / (1 / w)) * K(w,v5)))) = K(x,K(y,(w * u) * z)). [para(6200(a,1),17552(a,1,2,2,2))]. 17558 K(x,K(y,z * (u / (1 / w)))) = K(x,K(y,(w * u) * z)). [hyper(17093,a,17557,a)]. 17560 K(x,K(y,(z * u) * ((w / u) / z))) = K(x,K(y,L(w,1 / u,1 / z))). [hyper(236,a,17558,a(flip),b,17551,a(flip)),flip(a)]. 17561 K(x,K(y,L(z,1 / u,1 / w))) = K(x,K(z,L(y,u,w))). [hyper(236,a,17530,a(flip),b,17560,a(flip))]. 17562 K(x,K(y,L(z,1 / u,w))) = K(x,K(z,L(y,u,w))). [hyper(236,a,14965,a(flip),b,17561,a(flip)),flip(a)]. 17563 K(x,K(y,L(z,K(u,w) / v5,v6))) = K(x,K(z,L(y,v5,v6))). [hyper(236,a,17395,a,b,17562,a(flip)),flip(a)]. 17564 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(17563(a,1),17312(a,1,1)),flip(a)]. 17565 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(x,1 / z,K(y,K(w,u))). [hyper(236,a,14087,a,b,17556,a)]. 17566 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(v5,K(w,L(u,z,x))) * K(v5,K(w,u)). [para(7936(a,1),17564(a,2,2))]. 17568 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(236,a,12459,a(flip),b,17566,a)]. 17569 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = K(a(x,z * u,K(u,w)),v5). [para(10201(a,1),17568(a,2,1))]. 17570 a(x,K(y,z) / (K(u,w) * z),K(K(w,u),v5)) = a(u,z,K(v5,K(w,x))). [hyper(236,a,14891,a(flip),b,17569,a)]. 17571 a(x,(K(y,z) / z) * K(u,w),K(K(u,w),v5)) = a(w,z,K(v5,K(u,x))). [para(17161(a,1),17570(a,1,2))]. 17572 a(x,(K(y,z) / z) * K(u,w),K(v5,K(u,w))) = a(w,z,K(v5,K(u,x))). [para(7936(a,1),17571(a,1,3))]. 17573 a(x,K(y,z) / z,K(u,K(w,v5))) = a(v5,z,K(u,K(w,x))). [hyper(11611,a,17572,a)]. 17574 a(x,1 / y,K(z,K(u,w))) = a(w,y,K(z,K(u,x))). [para(127(a,1),17573(a,1,2,1))]. 17575 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(y,K(w,x))). [hyper(236,a,17565,a,b,17574,a(flip)),flip(a)]. 17576 a(x,y / z,K(u,K(y,w))) = a(x,z,K(u,K(y,w))). [hyper(236,a,17411,a(flip),b,17574,a(flip)),flip(a)]. 17577 a(x,y / z,K(u,K(y,w))) = a(y,z,K(u,K(x,w))). [hyper(236,a,14329,a,b,17576,a)]. 17578 K(x,K(y,((z / u) / w) * ((w * (1 / z)) * u))) = a(u,z,K(x,K(y,w))). [para(7923(a,1),17575(a,2,3))]. 17579 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(5660(a,1),17578(a,1,2,2,2,1))]. 17580 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(6927(a,1),17579(a,1,2))]. 17581 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(14192(a,1),17580(a,1,2))]. 17582 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(6267(a,1),17581(a,1,2,2,1))]. 17583 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(236,a,17549,a(flip),b,17582,a(flip)),flip(a)]. 17584 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,1 / (K(z,1 / u) / z)))). [hyper(17104,a,17583,a)]. 17586 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,z * K(1 / u,z)))). [para(7584(a,1),17584(a,2,3,2))]. 17587 K(x,K(y,((z / u) * w) * ((u / w) / z))) = a(w,u,K(x,K(y,z))). [para(17024(a,1),17586(a,2,3))]. 17588 a(x,y,K(z,K(u / y,w / y))) = a(w,y,K(x,K(z,u))). [hyper(236,a,17527,a(flip),b,17587,a(flip)),flip(a)]. 17590 a(x,y \ z,K(u,K(y,w / (y \ z)))) = a(w,y \ z,K(x,K(u,z))). [para(62(a,1),17588(a,1,3,2,1))]. 17591 a(x,y \ z,K(u,K(y,w * (y / z)))) = a(w,y \ z,K(x,K(u,z))). [para(17485(a,1),17590(a,1,3))]. 17592 a(x,y \ z,K(y,K(u,w * (y / z)))) = a(w,y \ z,K(x,K(u,z))). [para(7919(a,1),17591(a,1,3))]. 17593 a(x,y \ z,K(y,K(u,w / z))) = a(w,y \ z,K(x,K(u,z))). [para(17187(a,1),17592(a,1,3))]. 17594 a(x,y \ z,K(u,K(w,z))) = a(u,z,K(y,K(w,x / z))). [hyper(14416,a,17593,a),flip(a)]. 17595 a(x,y \ z,K(u,K(z,w))) = a(u,z,K(y,K(w,x / z))). [para(7937(a,1),17594(a,1,3))]. 17596 a(x,y / z,K(u,K(y,w))) = a(u,y,K(z,K(w,x / y))). [hyper(236,a,17399,a,b,17595,a(flip)),flip(a)]. 17597 a(x,y,K(z,K(u,w / y))) = a(y,z,K(x,K(w,u))). [hyper(236,a,17577,a(flip),b,17596,a(flip))]. 17598 a(x,y,K(z,K(u,w / y))) = a(y,z,K(w,K(x,u))). [para(7919(a,1),17597(a,2,3))]. 17599 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(z,y,K(u,K(x,w))). [hyper(17526,a,17598,a)]. 17600 K(x,K(y,((z / u) / (w * z)) * (w * u))) = a(z,y,K(x,K(w,u))). [para(7923(a,2),17599(a,2,3))]. 17601 a(x,y,K(z,K(u,y / w))) = a(w,x,K(z,K(u,y))). [hyper(236,a,17531,a(flip),b,17600,a(flip)),flip(a)]. 17602 a(x,y,K(z,K(u,w / y))) = a(w,x,K(z,K(u,y))). [para(9257(a,1),17601(a,1,3))]. 17603 a(x,y,K(z,K(u,w / y))) = a(w,x,K(z,K(y,u))). [para(7937(a,1),17602(a,2,3))]. 17604 a(x,y,K(z,K(u,w))) = a(u,z,K(x,K(y,w))). [hyper(236,a,17598,a(flip),b,17603,a(flip))]. 17605 a(x,y,K(z,K(u,w))) * K(z,K(x,w)) = L(K(z,K(x,w)),u,y). [para(17604(a,1),14342(a,1,1))]. 17606 a(x,y,K(z,K(u,w))) * K(x,K(z,w)) = L(K(z,K(x,w)),u,y). [para(7919(a,1),17605(a,1,2))]. 17607 L(K(x,K(y,z)),u,w) = K(x,K(z,L(y,w,u))). [hyper(14961,a,17606,a),flip(a)]. 17608 K(x,K(y,L(z,u,w))) = K(x,K(y,L(z,w,u))). [hyper(11615,a,17607,a)]. 17609 K(x,K((y / z) * u,L(w,z,y))) = K(x,K(w,(u / z) * y)). [hyper(236,a,17513,a(flip),b,17608,a)]. 17610 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(727(a,1),17608(a,1,2,2)),flip(a)]. 17611 K(x,K(y,L(L(1 / z,z,u),w,u * z))) = K(x,K(y,1 / L(z,u,w))). [para(6561(a,1),17608(a,1,2)),flip(a)]. 17612 K(x,K(y,(z * u) / w)) = K(x,K(y,(z / w) * u)). [hyper(17495,a,17609,a)]. 17614 K(x,K(y,L(L(1 / z,z,u),w,u * z))) != v5 | K(x,K(y,L(z,u,w))) = v5. [para(17611(a,2),9272(a,1))]. 17615 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(236,a,16042,a,b,17610,a)]. 17616 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(236,a,17612,a(flip),b,17615,a)]. 17617 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,(w * (u * z)) / (w * u))). [hyper(236,a,17481,a(flip),b,17616,a)]. 17620 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(8133(a,1),17617(a,2,2))]. 17621 K(x,K(y,L(L(z,u,w),v5 / (w * u),w * u))) = K(x,K(y,L(z,u,w))). [hyper(236,a,16034,a(flip),b,17620,a)]. 17624 K(x,K(y,L(L(z,u,w),v5,w * u))) = K(x,K(y,L(z,u,w))). [hyper(236,a,15054,a(flip),b,17621,a(flip)),flip(a)]. 17625 K(x,K(y,L(1 / z,z,u))) = K(x,K(y,L(z,u,w))). [hyper(17614,a,17624,a),flip(a)]. 17629 K(x,K(y,L(z,u,w))) = K(x,K(y,1 / z)). [para(6591(a,1),17625(a,1,2)),flip(a)]. 17631 K(x,K(y,L(z,u,w))) = K(z,K(x,y)). [hyper(236,a,9269,a(flip),b,17629,a)]. 17632 K(x,K(y,L(z,u,w))) = K(x,K(y,z)). [hyper(236,a,9256,a(flip),b,17629,a)]. 17633 K(x,K(y,L(z,u,w))) = K(x,K(z,y)). [hyper(236,a,9248,a(flip),b,17629,a)]. 17635 K(x,K(y,L(z,u,w))) != v5 | K(x,K(y,z)) = v5. [para(17629(a,2),9272(a,1))]. 17638 a(x,y,K(z,K(u,w))) = 1. [hyper(73,a,17631,a(flip),b,14851,a),flip(a)]. 17639 (x * y) * K(z,K(u,w)) = x * (y * K(z,K(u,w))). [para(17631(a,1),11570(a,1,2))]. 17642 a(K(x,y),z,K(u,w)) = 1. [hyper(14317,a,17638,a)]. 17643 a(K(x,K(y,z)),u,w) = 1. [hyper(14085,a,17638,a)]. 17644 K(a(x,y,K(z,u)),w) = 1. [hyper(14036,a,17638,a)]. 17648 K(x,a(y,z,K(u,w))) = 1. [hyper(236,a,13863,a(flip),b,17638,a(flip)),flip(a)]. 17652 L(K(x,y),z,K(u,w)) = K(x,y). [hyper(33,a,17642,a)]. 17653 x * a(K(y,z),u,K(w,v5)) != v6 | v6 = x. [para(17642(a,2),83(a,1,2))]. 17657 L(x,y,K(z,K(u,w))) = x. [hyper(33,a,17643,a)]. 17659 T(a(x,y,K(z,u)),w) = a(x,y,K(z,u)). [hyper(37,a,17644,a)]. 17661 T(x,a(y,z,K(u,w))) = x. [hyper(37,a,17648,a)]. 17664 L(x,y,T(z,K(u,w))) = L(x,y,z). [hyper(6750,a,17657,a)]. 17665 (K(x,K(y,z)) \ u) \ w = u \ (K(x,K(y,z)) * w). [hyper(521,a,17657,a),flip(a)]. 17667 a(x,y,K(z,u)) * w = w * a(x,y,K(z,u)). [hyper(236,a,14758,a(flip),b,17657,a(flip)),flip(a)]. 17668 (K(x,K(y,z)) * u) * w = K(x,K(y,z)) * (u * w). [para(17657(a,1),103(a,1,2))]. 17669 (K(x,K(y,z)) * u) / w = K(x,K(y,z)) * (u / w). [para(17657(a,1),494(a,1,2))]. 17671 (K(x,K(y,z)) * (u * w)) \ ((K(x,K(y,z)) * u) * (w * v5)) = L(v5,L(w,u,K(x,K(y,z))),K(x,K(y,z)) * u). [para(17657(a,1),439(a,1,2,2,1))]. 17675 T(x,L(y,z,K(u,w))) = T(x,y). [hyper(236,a,14361,a(flip),b,17661,a(flip)),flip(a)]. 17677 a(x,y,K(z,u)) * w != v5 | w * a(x,y,K(z,u)) = v5. [para(17661(a,1),220(a,1,2))]. 17678 T(x,K(y,a(z,u,w))) = x. [para(13863(a,1),17661(a,1,2))]. 17679 T(x,K(a(y,z,u),w)) = x. [para(13871(a,1),17661(a,1,2))]. 17680 T(x,K(y,L(z,u,w) \ z)) = x. [para(14074(a,2),17661(a,1,2))]. 17681 K(x,T(y,a(z,u,w))) = K(x,y). [hyper(8943,a,17678,a)]. 17684 T(x,a(y,z,u) / w) = T(x,w \ a(y,z,u)). [hyper(236,a,9327,a(flip),b,17678,a(flip))]. 17685 T(x,y / a(z,u,w)) = T(x,a(z,u,w) \ y). [para(17678(a,1),9342(a,1,1))]. 17686 T(x,a(y,z,u) * w) != v5 | T(x,w * a(y,z,u)) = v5. [para(17678(a,1),13095(a,1,1))]. 17687 x \ T(y * x,K(a(z,u,w),v5)) = T(y,K(v5,a(z,u,w)) * x). [para(17678(a,1),15657(a,1,2,1,2))]. 17689 (a(x,y,z) * u) * T(w,u * a(x,y,z)) = w * (a(x,y,z) * u). [hyper(236,a,13207,a(flip),b,17679,a(flip)),flip(a)]. 17691 K(x,L(y,z,K(u,w))) = K(x,y). [hyper(11589,a,17652,a)]. 17692 K(L(x,y,K(z,u)),w) = K(x,w). [hyper(10722,a,17652,a)]. 17694 R(K(x,y),z,K(u,w)) = K(x,y). [hyper(236,a,15596,a,b,17652,a(flip)),flip(a)]. 17695 K(x,T(y \ z,K(u,w) \ y)) = K(x,(K(w,u) * z) / (K(w,u) * y)). [hyper(236,a,11635,a(flip),b,17652,a(flip))]. 17696 K(x,(K(y,z) \ u) \ w) = K(x,u \ (K(y,z) * w)). [hyper(236,a,6595,a(flip),b,17652,a(flip))]. 17697 K((K(x,y) * z) \ u,w) = K(z \ (K(y,x) * u),w). [hyper(236,a,6573,a(flip),b,17652,a(flip))]. 17699 (K(x,y) * z) * K(u,w) = K(x,y) * (z * K(u,w)). [para(17652(a,1),103(a,1,2))]. 17701 K(x,y) \ (z * K(u,w)) = (K(x,y) \ z) * K(u,w). [para(17652(a,1),5951(a,1,2)),flip(a)]. 17702 K(x,y) * a(z,u,w) = a(z,u,w) * K(x,y). [para(17652(a,1),14682(a,1,2)),flip(a)]. 17704 (K(x,y) * z) * K(u,T(w,z)) = K(x,y) * (K(u,w) * z). [para(17652(a,1),15598(a,1,1)),flip(a)]. 17707 T(x,(y * K(z,u)) / w) = T(x,y / (w * K(u,z))). [hyper(236,a,15347,a(flip),b,17675,a(flip))]. 17710 T(x,K(y,z \ L(z,u,w))) = x. [hyper(9322,a,17680,a)]. 17711 K(a(x,y,z) * u,w) = K(u * a(x,y,z),w). [hyper(13410,a,17681,a)]. 17712 K(x,a(y,z,u) * w) = K(x,w * a(y,z,u)). [hyper(13098,a,17681,a)]. 17713 K(x,a(y,z,u) / w) = K(x,w \ a(y,z,u)). [hyper(8189,a,17681,a)]. 17714 K(x,y / a(z,u,w)) = K(x,a(z,u,w) \ y). [hyper(8187,a,17681,a)]. 17715 K(x,T(T(a(y,z,u),w) * v5,v6)) = K(x,T(v5 * T(a(y,z,u),w),v6)). [hyper(236,a,16213,a(flip),b,17681,a(flip)),flip(a)]. 17716 K(x,a(y,z,u) / w) != v5 | K(x,w \ a(y,z,u)) = v5. [para(17681(a,1),7297(a,1))]. 17717 K(a(x,y,z) / u,w) != v5 | K(u \ a(x,y,z),w) = v5. [para(17681(a,1),7298(a,1))]. 17718 K(x,T(y,a(z,u,w))) != v5 | K(x,y) = v5. [para(17681(a,1),8174(a,1))]. 17719 K(x / a(y,z,u),w) != v5 | K(a(y,z,u) \ x,w) = v5. [para(17681(a,1),8178(a,1))]. 17720 (K(x,y) * a(z,u,w)) * v5 = (a(z,u,w) * K(x,y)) * v5. [para(17681(a,1),8097(a,1,1,1))]. 17721 K(x,y) * (a(z,u,w) * x) != v5 | a(z,u,w) * T(x,y) = v5. [para(17681(a,1),8469(a,1,1))]. 17722 K(x,y) * ((a(z,u,w) * y) * x) = (a(z,u,w) * y) * T(x,y). [para(17681(a,1),8250(a,1,1))]. 17723 K(x,a(y,z,u) * w) != v5 | K(x,w * a(y,z,u)) = v5. [para(17681(a,1),13066(a,1))]. 17724 K(x,y * a(z,u,w)) != v5 | K(x,a(z,u,w) * y) = v5. [para(17681(a,1),13098(a,1))]. 17725 K(x,T(y,L(z,u,w))) = K(x,T(y,z)). [para(14361(a,1),17681(a,1,2))]. 17726 K(x,(K(y,z) * u) \ w) = K(x,u \ (K(z,y) * w)). [para(14681(a,1),17681(a,1,2))]. 17727 K(x,y) * T(z,a(u,w,v5) * K(x,y)) = T(z * K(x,y),a(u,w,v5)). [para(17681(a,1),17232(a,1,1,2)),flip(a)]. 17729 K(x,((y * (z / y)) \ u) \ T(w,K(y \ z,y))) = K(x,(z \ u) \ (w * K(y,y \ z))). [hyper(236,a,15956,a(flip),b,17691,a(flip)),flip(a)]. 17730 K((K(x,T(y,z)) * u) \ (z * y),w) = K(u \ (z * T(y,x)),w). [hyper(236,a,15047,a(flip),b,17691,a(flip))]. 17732 K(x,L(y,z,L(K(u,w),v5,v6))) = K(x,y). [para(5893(a,1),17691(a,1,2,3))]. 17733 K(x,L(y,z,T(u,w))) = K(x,L(y,z,u)). [para(6749(a,1),17691(a,1,2))]. 17735 K(x,(y * K(z,u)) / w) = K(x,y / (w * K(u,z))). [para(15600(a,1),17691(a,1,2)),flip(a)]. 17736 K((x * K(y,z)) \ ((x * u) * K(y,z)),w) = K(u * K(x,u),T(w,x)). [hyper(16982,a,17692,a)]. 17737 K((x * K(y,L(z,u,w))) / (w * u),v5) = K(x / (w * (u * K(z,y))),v5). [hyper(236,a,15649,a(flip),b,17692,a(flip))]. 17738 K(x,y) \ (K(x,L(z,u,w)) * (T(x,z) \ K(L(x,u,K(z,w)),y))) = L(x,u,K(z,w)) \ 1. [para(17692(a,1),14841(a,1,1))]. 17741 (L(K(x,y),z,u) * w) * K(v5,v6) = L(K(x,y),z,u) * (w * K(v5,v6)). [para(17694(a,1),471(a,1,1,1)),flip(a)]. 17742 K(x,T(y,z \ L(z,u,w))) = K(x,y). [hyper(8943,a,17710,a)]. 17743 T(x,K(y,z \ L(z,u,w))) != v5 | v5 = x. [para(17710(a,1),7992(a,1,1))]. 17744 L(x,y,K(z,u) * w) = L(x,y,w * K(z,u)). [hyper(236,a,13502,a(flip),b,17664,a(flip))]. 17745 L(x,y,K(z,u) * (w * z)) = L(x,y,w * T(z,u)). [para(8194(a,1),17664(a,1,3))]. 17746 L(x,y,T(z,u / w)) = L(x,y,T(z,w \ u)). [para(8329(a,1),17664(a,1,3)),flip(a)]. 17752 K(x,K(y,(z \ u) \ w)) = K(x,K(y,u \ (z * w))). [para(450(a,1),17632(a,1,2,2)),flip(a)]. 17753 K(x,K(L(y,z,u),w)) = K(x,K(y,w)). [para(11471(a,1),17632(a,1,2))]. 17755 K(x,K(y,(z / u) / w)) = K(x,K(y,z / (w * u))). [para(15354(a,1),17632(a,1,2)),flip(a)]. 17759 K(x,L(y,z,u)) * K(x,K(y,w)) = T(K(x,L(y,z,u)),w). [para(17633(a,1),7948(a,1,2))]. 17760 K(x,K((y * z) \ u,w)) = K(x,K(w,z \ (y \ u))). [para(11477(a,1),17633(a,1,2))]. 17761 K(x,K(y \ (z * u),w)) = K(x,K(w,(z \ y) \ u)). [para(11544(a,1),17633(a,1,2))]. 17762 K(x,K(y,z)) * K(x,z * L(y,u,w)) = K(x,L(y,u,w) * z). [para(17633(a,1),13238(a,1,1))]. 17768 L(x,y,z) * K(u,T(w,x)) = K(u,w) * L(x,y,z). [para(17725(a,1),7281(a,1,2))]. 17769 K(x,T(y,(z / u) / w)) = K(x,T(y,z / (w * u))). [para(15346(a,1),17725(a,1,2)),flip(a)]. 17770 K(x,(y \ L(y,z,u)) / w) != v5 | K(x,w \ (y \ L(y,z,u))) = v5. [para(17742(a,1),7297(a,1))]. 17772 x \ ((K(y,K(z,u * x)) * w) / (((u * x) * K(y,L(z,u,x))) \ w)) = T(K(y,z) * u,x). [para(17753(a,1),15640(a,1,2,1,1))]. 17774 K(x,L(y,z,K(u,w))) != v5 | K(x,y) = v5. [para(11482(a,1),17653(a,1)),flip(b)]. 17775 T(x,a(y,z,K(u,w))) != v5 | v5 = x. [para(14032(a,1),17653(a,1))]. 17776 L(K(x,K(y,z)),u,w) != v5 | K(x,K(y,z)) = v5. [para(14015(a,1),17653(a,1)),flip(b)]. 17777 a(x,y,K(z,u)) * (w * (u / a(z,y,x))) != v5 | w * (a(z,y,x) \ u) = v5. [para(15209(a,1),17775(a,1)),flip(b)]. 17778 x * a(y,z,K(u,w)) != v5 | a(y,z,K(u,w)) * x = v5. [para(17659(a,1),220(a,1,2))]. 17779 K(x,T(y,L(z,u,w))) != v5 | K(x,T(y,z)) = v5. [para(14361(a,1),17718(a,1,2))]. 17780 K(x,(K(y,z) * u) \ w) != v5 | K(x,u \ (K(z,y) * w)) = v5. [para(14681(a,1),17718(a,1,2))]. 17781 K(x,(L(K(y,z),u,w) \ v5) \ v6) = K(x,v5 \ (L(K(y,z),u,w) * v6)). [hyper(236,a,14570,a(flip),b,17732,a(flip))]. 17782 K(x,L(y,z,u / w)) = K(x,L(y,z,w \ u)). [para(121(a,1),17733(a,1,2,3)),flip(a)]. 17783 K(x,L(y,z,T(u,w))) != v5 | K(x,L(y,z,u)) = v5. [para(6749(a,1),17774(a,1,2))]. 17787 K(x,K(y,z \ ((z / u) * w))) != v5 | K(x,K(y,u \ w)) = v5. [para(453(a,1),17635(a,1,2,2))]. 17791 a(x,y,K(z,u)) * w = w * a(z,y,K(u,x)). [hyper(14598,a,17667,a)]. 17792 a(x,y,K(z,u)) * w = w * a(u,y,K(x,z)). [hyper(14351,a,17667,a)]. 17793 (a(x,y,K(z,u)) * w) * a(u,y,K(z,x)) = w. [hyper(14029,a,17667,a)]. 17795 a(x,y,K(z,u)) * (w \ u) = w \ L(u,y,K(x,z)). [hyper(236,a,14772,a(flip),b,17667,a)]. 17796 a(x,y,K(z,u)) * (w * z) = w * L(z,y,K(u,x)). [hyper(236,a,14701,a(flip),b,17667,a)]. 17797 (x \ y) * a(x,z,K(u,w)) = L(x,z,K(w,u)) \ y. [hyper(236,a,14770,a(flip),b,17667,a(flip))]. 17798 (x * y) \ ((x * a(z,u,K(w,v5))) * y) = R(T(a(z,u,K(w,v5)),x * y),x,y). [para(17667(a,1),615(a,1,2,1))]. 17799 K(x,a(y,z,u)) * w = w * a(x,z,K(u,y)). [para(14004(a,1),17667(a,1,1))]. 17801 K(x,y) * (z * a(x,u,K(w,y))) = L(K(x,y),u,w) * z. [para(17667(a,1),14623(a,1,2))]. 17802 K(x,y) * (z * a(x,u,K(w,y))) = K(x,L(y,u,w)) * z. [para(17667(a,1),14649(a,1,2))]. 17803 K(x,y) * T(x * K(y,x),z \ a(u,w,v5)) = T(x,T(a(u,w,v5) / z,y)). [para(17684(a,1),8639(a,1,2))]. 17804 K(x,(T(y,a(z \ 1,z,u) \ w) * a(z \ 1,z,u)) \ w) = K(x,T((a(z \ 1,z,u) * y) \ w,a(z \ 1,z,u) \ w)). [para(17685(a,1),16567(a,1,2,1,1))]. 17805 T(a(x,y,z),K(u,w)) = a(x,y,z). [hyper(8581,a,17702,a)]. 17806 (x / a(y,z,u)) \ T(x,w) = K(x,w) * a(y,z,u). [hyper(236,a,14441,a,b,17702,a),flip(a)]. 17808 K(x,y) * a(z,u,w) != v5 | a(z,u,w) * K(x,y) = v5. [para(17805(a,1),220(a,1,2))]. 17809 a(x,y,z) * T(u,K(w,v5) * a(x,y,z)) = T(u * a(x,y,z),K(w,v5)). [para(17805(a,1),15662(a,1,1,2)),flip(a)]. 17811 L(K(x,a(y,z,u) \ w),v5,v6) = K(x,L(w / a(y,z,u),v5,v6)). [para(17714(a,1),11470(a,1,1))]. 17812 L(x,y,K(z \ u,z) * (w * u)) = L(x,y,w * ((z \ u) * z)). [para(10659(a,1),17744(a,2,3))]. 17813 L(x,y,T(z * K(u,w),u \ z)) = L(x,y,T(u,w) / (u / z)). [hyper(236,a,14947,a(flip),b,17746,a(flip))]. 17817 K(x,T(y,(z * u) \ w)) != v5 | K(x,T(y,u \ (z \ w))) = v5. [para(227(a,1),17779(a,1,2,2))]. 17818 K(x,L(y,z,(u \ 1) \ w)) = K(x,L(y,z,w * u)). [hyper(14839,a,17782,a),flip(a)]. 17819 K(x,L(y,z,u \ (w \ u))) = K(x,L(y,z,w \ 1)). [hyper(14831,a,17782,a),flip(a)]. 17820 K(x,L(T(y \ z,u),y,z \ u)) = K(x,u / ((u / z) * y)). [hyper(8408,a,17782,a),flip(a)]. 17821 K(x,y) * a(x,z,K(u \ w,y)) = K(x,L(y,z,w / u)). [hyper(236,a,14017,a,b,17782,a),flip(a)]. 17822 K(x,L((y * K(z,u)) \ w,u,y \ T(u,z))) = K(x,u \ ((T(u,z) / y) * w)). [hyper(236,a,14582,a(flip),b,17782,a(flip))]. 17823 K(x,L(T(y,z),u,(u * x) \ z)) = K(z / ((z / (u * x)) * u),y). [hyper(236,a,11542,a(flip),b,17782,a(flip))]. 17824 K(x,L(T(y \ z,u),y,z \ u)) != w | K(x,u / ((u / z) * y)) = w. [para(17782(a,1),8408(a,1))]. 17825 x * K(y,L(T(z,u),u,(K(z,y) * u) \ x)) = (x / (K(z,y) * u)) * u. [para(17782(a,1),11729(a,1,2))]. 17826 K(x,L(y,z,(u * w) \ w)) != v5 | K(x,L(y,z,u \ 1)) = v5. [para(17782(a,1),14832(a,1))]. 17827 K(x,L(y,z,(u \ 1) \ w)) != v5 | K(x,L(y,z,w * u)) = v5. [para(17782(a,1),14839(a,1))]. 17829 a(x,y,K(z,u)) * (w * u) = w * L(u,y,K(x,z)). [hyper(236,a,14701,a(flip),b,17791,a)]. 17830 (x * y) * a(x,z,K(u,w)) = L(x,z,K(u,w)) * y. [hyper(236,a,14700,a(flip),b,17791,a(flip))]. 17831 x \ (y * (a(z,u,K(w,v5)) * (y \ x))) = L(a(w,u,K(v5,z)),y \ x,y). [para(17791(a,2),104(a,1,2,2))]. 17832 (x * (a(y,z,K(u,w)) * v5)) * K(a(u,z,K(w,y)),v5) = x * (a(u,z,K(w,y)) * v5). [para(17791(a,2),10676(a,1,1,2))]. 17833 a(x,y,K(z,u)) \ (w / L(v5,a(u,y,K(x,z)),w / (a(u,y,K(x,z)) * v5))) = w / (a(u,y,K(x,z)) * v5). [hyper(72,a,315,a,b,17792,a)]. 17834 a(x,y,K(z,u)) \ w != v5 | w * a(u,y,K(z,x)) = v5. [para(17793(a,1),515(a,1))]. 17835 a(x * y,z,K(u,w)) = K(y * x,a(w,z,u)). [hyper(13414,a,17799,a),flip(a)]. 17836 K(x,T(a(y,z,u),w)) = a(x,z,K(u,y)). [hyper(9395,a,17799,a)]. 17838 K(x,T(a(y,z,u),w)) = K(a(x,z,u),y). [hyper(236,a,13871,a(flip),b,17836,a)]. 17839 T(a(x,y,z),T(u,w)) \ v5 = a(u,y,K(z,x)) * (a(x,y,z) \ v5). [para(17836(a,1),7325(a,1,1)),flip(a)]. 17841 K(a(x,y,z),u) * w = w * K(x,a(u,y,z)). [para(17838(a,1),8047(a,1,1))]. 17842 a(x * y,z,K(u,w)) != v5 | a(y * x,z,K(u,w)) = v5. [para(17835(a,2),14143(a,1))]. 17843 K(x,a(y,z,u)) * (w * K(y,a(x,z,u))) = w. [hyper(5285,a,17841,a)]. 17844 K(x,a(y,z,u)) * (w * a(x,z,u)) = w * T(a(x,z,u),y). [para(7554(a,1),17843(a,1,2))]. 17845 K(x,L(y,z,L(T(u,w),v5,v6))) != v7 | K(x,L(y,z,L(u,v5,v6))) = v7. [para(40(a,2),17783(a,1,2,3))]. 17847 K(x,L(y,z,u * w)) != v5 | K(x,L(y,z,w * u)) = v5. [para(13502(a,1),17783(a,1,2))]. 17848 K(x,L(y,z,u / w)) != v5 | K(x,L(y,z,w \ u)) = v5. [para(13541(a,1),17783(a,1,2))]. 17849 K(x,K(y,z)) * (u * w) = u * (w * K(x,K(y,z))). [hyper(16129,a,17639,a)]. 17850 (x * y) * K(z,K(u,w)) = x * (K(z,K(u,w)) * y). [hyper(236,a,16117,a,b,17639,a)]. 17852 (K(x,K(y,z)) \ u) \ (K(x,K(y,z)) \ w) = u \ w. [para(14(a,1),17665(a,2,2))]. 17853 K(x,K(y,z)) \ (u * w) = (K(x,K(y,z)) \ u) * w. [hyper(587,a,17668,a)]. 17854 (K(x,K(y,z)) * (u * (w * v5))) \ (((K(x,K(y,z)) * u) * w) * v5) = a(K(x,K(y,z)) * u,w,v5). [para(17668(a,1),24(a,2,1)),flip(a)]. 17855 (x * K(y,K(z,u))) * w = K(y,K(z,u)) * (x * w). [para(16057(a,1),17668(a,1,1))]. 17856 K(x,K(y,z)) * ((u * x) * w) = (u * T(x,K(y,z))) * w. [para(16093(a,1),17668(a,1,1)),flip(a)]. 17857 (x * (y * K(z,K(u,w)))) \ (x * (K(z,K(u,w)) * (y * v5))) = L(v5,K(z,K(u,w)) * y,x). [para(17668(a,1),16388(a,1,2,2))]. 17858 K(x,(K(y,z) \ u) \ w) = K(x,u \ (K(z,y) \ w)). [para(5260(a,2),17696(a,2,2,2))]. 17859 K((x * K(y,z)) \ u,w) = K(x \ (K(z,y) * u),w). [hyper(16685,a,17697,a)]. 17861 K(x,y) * (z * K(z * y,y \ 1)) = ((y \ K(y,x)) \ z) * (y \ 1). [hyper(236,a,10352,a(flip),b,17699,a(flip))]. 17863 K(x,y) * (K(z,u) * (w * K(y,x))) = T(K(z,u) * w,K(x,y)). [para(17699(a,1),7984(a,1,2))]. 17864 K(x,y) * ((1 / z) * K(u,w)) = (K(x,y) / z) * K(u,w). [para(14500(a,1),17699(a,1,1)),flip(a)]. 17866 T(x,(y * K(z,u)) / (w \ 1)) = T(x,y / (w \ K(u,z))). [para(14046(a,1),17707(a,2,2,2))]. 17867 K(x,(K(y,z) * u) \ w) = K(x,u \ (w * K(z,y))). [hyper(16733,a,17726,a(flip)),flip(a)]. 17868 K(x,y \ (K(z,u) * w)) = K(x,(y \ K(z,u)) * w). [hyper(236,a,14520,a(flip),b,17726,a(flip))]. 17869 K(x,(y * K(z,u)) / w) = K(x,y * (w \ K(z,u))). [hyper(236,a,16792,a(flip),b,17735,a)]. 17870 K(x,K(y,z \ (u * w))) = K(x,K(y,(u \ z) * w)). [hyper(236,a,16502,a(flip),b,17752,a(flip))]. 17871 K(x,K(y,z / (u * w))) = K(x,K(y,u \ (z / w))). [hyper(16052,a,17755,a),flip(a)]. 17875 K((x * y) \ z,K(u,w)) = K(u,K(w,y \ (x \ z))). [hyper(7921,a,17760,a)]. 17876 K(x,K(y,x \ (y \ T(z,u)))) \ K((y * x) \ z,T(y * x,u)) = K((y * x) \ T(z,u),x * y). [para(17760(a,1),15721(a,1,1))]. 17878 K(x,K(y,(z \ u) \ w)) != v5 | K(x,K(y,u \ (z * w))) = v5. [para(17761(a,1),7971(a,1))]. 17879 L(T(x,y),z,u) * K(w,T(v5,x)) = K(w,v5) * L(T(x,y),z,u). [para(16164(a,1),17768(a,1,2))]. 17880 K(x,T(y,z / (u * w))) = K(x,T(y,u \ (z / w))). [hyper(16310,a,17769,a),flip(a)]. 17881 a(x,y,K(z,u)) \ (w * K(v5,L(z,y,K(u,x)))) = (w / T(L(z,y,K(u,x)),v5)) * z. [hyper(72,a,7612,a(flip),b,17796,a)]. 17882 (x * L(y,z,K(u,w))) \ ((a(w,z,K(y,u)) * x) * (y * v5)) = L(v5,L(y,x,a(w,z,K(y,u))),a(w,z,K(y,u)) * x). [para(17796(a,1),13685(a,1,1))]. 17883 (a(x,y,y \ 1) \ z) \ T(z,u) = K(z,u) * a(x,y,y \ 1). [para(13896(a,1),17806(a,1,1))]. 17884 K(x,L(y,z \ 1,(z \ 1) \ u)) = K(x,L(y,u,u * z)). [hyper(236,a,14572,a(flip),b,17818,a(flip)),flip(a)]. 17885 (x / (y \ 1)) * ((y \ 1) * K(z,u)) = x * K(z,L(u,y \ 1,x * y)). [para(17818(a,1),11505(a,1,2)),flip(a)]. 17886 a(x,y,K(z,u \ w)) * w = u * L(u \ w,y,K(x,z)). [hyper(307,a,17829,a)]. 17888 (x * y) * a(x,z,K(u,y)) = L(x * y,z,K(u,y)). [hyper(236,a,14791,a,b,17830,a)]. 17889 x \ (K(y,K(z,u)) * w) = (x \ w) * K(y,K(z,u)). [hyper(551,a,17849,a)]. 17890 K(x,K(y,z)) * (u * w) = u * (K(x,K(y,z)) * w). [hyper(236,a,16117,a,b,17849,a)]. 17891 (K(x,K(y,z)) * u) * w = u * (w * K(x,K(y,z))). [hyper(17,a,17668,a(flip),b,17849,a)]. 17893 (x * (y * K(z,K(u,w)))) * v5 = K(z,K(u,w)) * ((x * y) * v5). [para(17849(a,1),17668(a,1,1))]. 17894 K(x,y * (z * (K(u,K(w,v5)) * v6))) != v7 | K(x,y * (z * v6)) = v7. [para(17850(a,1),16689(a,1,2,2))]. 17895 K(x,K(y,z)) \ (u * w) = (K(y,K(x,z)) \ u) * w. [para(7919(a,1),17853(a,1,1))]. 17896 K(x,y) \ (z * K(x,T(y,u))) = T(z * K(x,K(y,u)),K(x,y)). [hyper(394,a,16386,a(flip),b,17855,a),flip(a)]. 17898 K(x,(K(y,z) * ((K(u,w) \ v5) / K(y,z))) \ v6) = K(x,v5 \ (K(w,u) \ v6)). [hyper(16791,a,17858,a)]. 17899 K(x,(y \ z) \ (K(u,y) \ w)) = K(x,(T(y,u) \ z) \ w). [para(5174(a,1),17858(a,1,2,1)),flip(a)]. 17900 K(x,(T(y,z) \ u) \ (K(y,z) \ w)) = K(x,(y \ u) \ w). [para(5340(a,1),17858(a,1,2,1)),flip(a)]. 17901 K((x * y) / (K(z,u) * y),w) = K(y \ (K(u,z) * (y * x)),w). [hyper(236,a,16831,a,b,17859,a(flip)),flip(a)]. 17902 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(12406(a,2),17859(a,2,1,2)),flip(a)]. 17903 K(x,(y * K(z,u)) \ w) = K(x,y \ (w * K(u,z))). [hyper(16648,a,17867,a)]. 17904 K(x,(y \ K(z,u)) * (K(u,z) * w)) = K(x,y \ w). [para(5268(a,1),17868(a,1,2,2)),flip(a)]. 17905 K(x,(y \ z) * (u \ K(w,w \ z))) = K(x,(y \ (w * (z / w))) / u). [para(15624(a,1),17869(a,1,2,1)),flip(a)]. 17906 K(x,(y * K(z,u)) / w) != v5 | K(x,y / (w * K(u,z))) = v5. [para(17869(a,2),16793(a,1))]. 17907 K(x,K(y,(z \ u) * w)) = K(x,K(y,(z * w) * u)). [hyper(16507,a,17870,a),flip(a)]. 17908 K(x,K(y,(z * u) \ w)) = K(x,K(y,z \ (w / u))). [hyper(16052,a,17871,a)]. 17909 x * (K((y * z) \ x,z * y) * K(z,K(y,z \ (y \ x)))) = ((y * z) \ x) * (y * z). [para(17875(a,1),13248(a,1,2,2))]. 17910 K(x \ (y \ z),x * y) * K(x,K(y,y \ (x \ z))) = K((x * y) \ z,y * x). [para(17875(a,1),14564(a,1,2))]. 17911 K(x,T(y,(z * u) \ w)) = K(x,T(y,z \ (w / u))). [hyper(16310,a,17880,a)]. 17913 a(x * y,z,K(u,y)) = a(x,z,K(u,y)). [hyper(17,a,14672,a,b,17888,a),flip(a)]. 17914 a(x,y,K(z,x * u)) = a(x,y,K(z,u)). [hyper(236,a,14262,a(flip),b,17913,a(flip)),flip(a)]. 17915 a(x,y,K(z,x \ u)) = a(x,y,K(z,u)). [para(14(a,1),17914(a,1,3,2)),flip(a)]. 17916 x \ (K(y,K(z,u)) * w) = K(y,K(z,u)) * (x \ w). [hyper(236,a,16057,a,b,17889,a)]. 17917 (x \ K(y,z)) * K(y,K(z,u)) = x \ K(y,T(z,u)). [para(7901(a,1),17889(a,1,2)),flip(a)]. 17918 K(x * L((y \ z) * K(u,K(w,v5)),y,K(u,w)),v6) = K(x * ((K(u,w) * y) \ (K(u,T(w,v5)) * z)),v6). [para(17889(a,1),13326(a,1,1,2,1))]. 17919 x \ (K(y,K(z,u)) * w) != v5 | K(y,K(z,u)) * (x \ w) = v5. [para(17889(a,2),16129(a,1))]. 17921 (x * K(y,K(z,u))) * w = x * (K(y,K(z,u)) * w). [hyper(17,a,17855,a(flip),b,17890,a)]. 17924 K(x,K(y,z)) * (u * (w * K(x,y))) = u * (w * K(x,T(y,z))). [para(16386(a,1),17890(a,2,2))]. 17925 x \ (y * (K(z,K(u,w)) * v5)) = (x \ (y * v5)) * K(z,K(u,w)). [para(17890(a,1),17889(a,1,2))]. 17926 T(x,y) * (z * K(x,K(u,w))) = T(T(x,K(u,w)),y) * z. [para(16133(a,1),17891(a,1,1)),flip(a)]. 17927 T(x * K(y,K(z,u)),w) * v5 = T(x,w) * (v5 * K(y,K(z,u))). [para(16771(a,2),17891(a,1,1))]. 17928 K(x,K(y,(z * u) \ w)) = K(x,K(y,z \ (u \ w))). [hyper(236,a,17045,a(flip),b,17908,a)]. 17930 K(x,T(y,(z * u) \ w)) = K(x,T(y,z \ (u \ w))). [hyper(17015,a,17911,a(flip)),flip(a)]. 17931 K(x,T(y,(z * u) \ w)) != v5 | K(x,T(y,z \ (u \ w))) = v5. [para(17911(a,2),17015(a,1))]. 17932 K(x,K(y,z)) * (u \ K(x,z * y)) = u \ K(x,y * z). [para(13240(a,1),17916(a,1,2)),flip(a)]. 17933 K(x,y \ K(z,T(u,w))) != v5 | K(x,y \ K(z,u)) = v5. [para(17917(a,1),16672(a,1,2))]. 17934 K(x,y * (z \ K(u,T(w,v5)))) = K(x,y * (z \ K(u,w))). [para(17917(a,1),16638(a,1,2,2))]. 17935 R(x,K(y,K(z,u)),w) = x. [hyper(4699,a,17921,a)]. 17936 L(x,K(y,K(z,u)),w) = x. [hyper(436,a,17921,a)]. 17937 (x * K(y,K(z,u))) \ w = (x \ w) * K(y,K(z,u)). [para(17935(a,1),16250(a,1,1,1)),flip(a)]. 17940 L(x * K(y,K(z,u)),w * K(y,K(z,u)),v5) = (v5 * (w * K(y,K(z,u)))) \ (v5 * (w * x)). [para(17936(a,1),16251(a,1,1))]. 17941 K((x \ y) \ (x \ T(y,z)),u \ ((x \ T(y,z)) \ (x \ y))) = K(y,K(z,(x \ T(y,z)) \ (u \ (x \ y)))). [hyper(236,a,15117,a,b,17928,a(flip)),flip(a)]. 17942 K(x,T(y,z \ (u \ w))) != v5 | K(x,T(y,w \ (z * u))) = v5. [para(17930(a,1),9375(a,1))]. 17943 (K(x,K(y,z)) * u) \ w = (u \ w) * K(x,K(y,z)). [para(16057(a,2),17937(a,1,1))]. 17944 (x * (y * K(z,K(u,w)))) \ v5 = ((x * y) \ v5) * K(z,K(u,w)). [para(17639(a,1),17937(a,1,1))]. 17945 (K(x,K(y,z)) * u) \ w = K(x,K(y,z)) * (u \ w). [hyper(236,a,16057,a,b,17943,a)]. 17946 (K(x,K(y,z)) \ u) \ w = K(x,K(y,z)) \ (u \ w). [hyper(514,a,17945,a),flip(a)]. 17947 (x * (K(y,K(z,u)) * w)) \ v5 = K(y,K(z,u)) * ((x * w) \ v5). [para(17890(a,1),17945(a,1,1))]. 17948 K(x,(K(y,K(z,u)) \ w) \ v5) = K(x,w \ v5). [para(17946(a,2),16629(a,1,2))]. 17949 K(x,y \ (K(z,K(u,w)) \ v5)) = K(x,y \ v5). [para(17852(a,1),17948(a,1,2)),flip(a)]. 17950 K(x,y \ (K(z,T(u,w)) \ v5)) = K(x,y \ (K(z,u) \ v5)). [para(10511(a,1),17949(a,1,2,2))]. 17951 K(x,y \ ((K(z,u) * w) * v5)) = K(x,y \ ((w * K(z,u)) * v5)). [para(11050(a,1),17949(a,1,2,2))]. 17952 K(x,y \ ((z / K(u,w)) \ (v5 * (K(u,w) \ z)))) = K(x,y \ T(v5,z / K(u,w))). [para(16392(a,1),17949(a,1,2,2))]. 17954 a(x,y,K(z,u)) * w != v5 | w * a(z,y,K(u,x)) = v5. [para(13990(a,1),17677(a,1,1))]. 17961 K(x \ a(y,x,x \ 1),L(z,x,y)) = K(x \ 1,T(z,x)). [hyper(17717,a,11648,a)]. 17962 a(x,y,a(z,u,K(w,v5))) * a(x,u,K(w,v5)) = a(w,u,K(v5,L(x,z,y))). [hyper(17834,a,14973,a)]. 17963 K(x,L(y,z,a(u,w,v5))) != v6 | K(x,L(y,z,a(v5,w,u) \ 1)) = v6. [para(14949(a,1),17848(a,1))]. 17965 K(x,L(y,z,u \ 1)) != w | K(x,y) * a(y,z,K(u,x)) = w. [para(14210(a,1),17954(a,1))]. 17966 K(x,y) * (K(z,u) * w) = K(z,u) * (K(x,y) * w). [hyper(16961,a,17704,a)]. 17974 K(x,y) * (K(z,u) * (x * w)) = K(z,u) * (T(x,y) * w). [para(4906(a,1),17966(a,1,2)),flip(a)]. 17975 (K(x,y) * z) / (K(x,y) * (K(u,w) * z)) = K(w,u). [para(17966(a,1),5266(a,1,2))]. 17977 (K(x,y) * z) / (K(x,y) * (K(u,w) * z)) != v5 | K(w,u) = v5. [para(17966(a,1),5272(a,1,2))]. 17978 K(x,y) * z != K(u,w) * v5 | K(u,w) * (K(y,x) * v5) = z. [para(17975(a,1),81(a,1,1)),flip(b)]. 17980 K(x,L(y,z,u)) * K(x,K(y,w)) = K(x,L(T(y,w),z,u)). [hyper(236,a,7280,a,b,17759,a)]. 17981 (K(x,y) * z) * a(x,u,K(w,y)) = L(K(x,y),u,w) * z. [hyper(17,a,1203,a(flip),b,17801,a)]. 17982 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(17801(a,1),15381(a,1,2,1))]. 17983 a(x,y,K(z / u,w)) = a(x,y,K(u \ z,w)). [hyper(17,a,14017,a,b,17821,a),flip(a)]. 17984 a(x \ y,z,K(u,w)) = a(w,z,K(y / x,u)). [hyper(236,a,13990,a,b,17983,a),flip(a)]. 17985 a(L(T(x,y * z),z,y),u,K(w,z \ u)) = a(w,z,K((y * z) \ (y * u),x)). [hyper(236,a,14327,a,b,17983,a(flip)),flip(a)]. 17986 a(x,y,K((z * u) / z,w)) = a(u,y,K(w,x)). [para(13(a,1),17984(a,1,1)),flip(a)]. 17987 a(x \ y,z,K(u,w)) * K(u,y / x) = K(u,L(y / x,z,w)). [para(17984(a,2),11513(a,1,1))]. 17989 a(x,y,K(z,T(u,w))) = a(z,y,K(u,x)). [para(8067(a,1),17986(a,1,3))]. 17990 a(x,y,K(z,T(u,w))) = a(x,y,K(z,u)). [hyper(236,a,13990,a(flip),b,17989,a)]. 17991 a(x,y,K(z,T(u,w))) != v5 | a(x,y,K(z,u)) = v5. [para(17989(a,2),14287(a,1))]. 17993 a(x,y,K(z,u / w)) = a(x,y,K(z,w \ u)). [para(121(a,1),17990(a,1,3,2)),flip(a)]. 17994 a(x,y,K(z,L(u / w,v5,v6))) = a(x,y,K(z,L(w \ u,v5,v6))). [para(184(a,1),17990(a,1,3,2)),flip(a)]. 17995 K(x,y / (z * u)) * a(u,y,K(x,z \ (y / u))) = K(x,(y / u) / z). [para(17993(a,1),15434(a,1,2))]. 17996 a(x,y,K(z * u,w)) != v5 | a(x,y,K(u * z,w)) = v5. [para(13395(a,1),17991(a,1,3))]. 17997 K(a(x,y,z),T(u,w)) != v5 | a(x,y,K(z,u)) = v5. [para(13871(a,1),17991(a,1))]. 17998 a(T(x,y),z,K(u,w)) != v5 | a(x,z,K(u,w)) = v5. [para(14323(a,2),17991(a,1))]. 18000 K(x,T(y,z)) * ((y * x) * u) = (x * T(y,K(x,z))) * u. [hyper(236,a,11080,a,b,17856,a(flip)),flip(a)]. 18001 K(x,y) / (K(z,u) * w) = (K(x,y) / w) * K(u,z). [hyper(14591,a,17864,a)]. 18003 T(x,y / (z \ K(u,w))) = T(x,(y * K(w,u)) * z). [hyper(236,a,14250,a(flip),b,17866,a(flip))]. 18004 T(x,y / (1 / (K(z,u) * w))) = T(x,(y * K(z,u)) * w). [hyper(236,a,14535,a,b,18003,a(flip)),flip(a)]. 18005 K(x,L(y,(z \ u) \ 1,((z \ u) \ 1) \ z)) = K(x,L(y,z,u)). [para(14(a,1),17884(a,2,2,3))]. 18006 K(x,y) \ (a(x,z \ 1,K(y,(K(x,y) * (1 / z)) \ u)) * u) = (1 / z) * ((K(x,y) * (1 / z)) \ u). [hyper(72,a,17886,a,b,7011,a(flip))]. 18007 a(x,y,K(z,y \ u)) * u = y * L(y \ u,u,K(x,z)). [para(11563(a,1),17886(a,1,1))]. 18008 T(T(x,K(y,z)),z) * (y / x) = T(T(x,z),x \ y) * (x \ y). [hyper(236,a,9504,a(flip),b,17926,a(flip))]. 18009 K(x,K(y,z)) * ((u \ K(x,z * y)) * w) = (u \ K(x,y * z)) * w. [para(17932(a,1),17668(a,1,1)),flip(a)]. 18010 K(x,y / (T(z,T(u,w)) \ v5)) = K(x,y * ((z \ v5) \ K(z,u))). [hyper(14545,a,17934,a)]. 18011 K(x \ a(y,x,x \ 1),L(z,x,y)) = K(1 / x,z). [hyper(236,a,8068,a(flip),b,17961,a)]. 18012 K(x \ a(y,x,x \ 1),L(z,x,y)) != u | K(x \ 1,z) = u. [para(18011(a,2),3294(a,1))]. 18013 K(L(x,y,z),u) * K(u,L(T(x,w),y,z)) = K(u,K(x,w)). [hyper(5285,a,17980,a)]. 18014 K(x,T(y,z)) * ((y * x) * u) = T(x * y,K(x,z)) * u. [para(7161(a,2),18000(a,2,1))]. 18015 T(x,(y * K(z,u)) * w) = T(x,y * (K(z,u) * w)). [hyper(236,a,14247,a(flip),b,18004,a(flip))]. 18016 T(x,(K(y,z) * u) * w) = T(x,u * (K(y,z) * w)). [hyper(236,a,16616,a,b,18015,a(flip)),flip(a)]. 18017 T(x,(y \ K(z,u)) \ w) = T(x,y * (K(u,z) * w)). [hyper(14523,a,18016,a)]. 18018 x * L(x \ y,y,K(z,u)) = y * a(u,x,K(x \ y,z)). [hyper(17954,a,18007,a),flip(a)]. 18019 K(L(x,y,z),u) * K(u,L(T(x,w),y,z)) = K(x,K(u,w)). [hyper(236,a,7919,a,b,18013,a)]. 18020 T(x * y,K(x,z)) * z = (T(x,z) * y) * T(z,x). [hyper(236,a,11140,a(flip),b,18014,a(flip))]. 18021 T((x * y) * z,K(x,z)) = (T(x,z) * y) * T(z,x). [hyper(8545,a,18020,a)]. 18022 T(((x / y) * z) * y,K(x / y,y)) = ((y \ x) * z) * T(y,x / y). [para(121(a,1),18021(a,2,1,1))]. 18023 x * L(x \ y,y,K(x \ z,u)) = y * a(u,z,K(z \ x,x \ y)). [para(12011(a,2),18018(a,2,2))]. 18024 K(x,L(y,z,u)) * K(y,L(T(x,w),z,u)) = K(x,K(y,w)). [para(11533(a,1),18019(a,1,1))]. 18025 K(x,K(y,((z / u) * w) * z)) != v5 | K(x,K(y,u \ w)) = v5. [para(16504(a,1),17787(a,1))]. 18026 K(x,T(T((y * K(z,u)) / w,K(y,v5)),K(z,u) \ (y \ w))) = K(x,(y * K(z,u)) / T(w,K(y,v5))). [hyper(17817,a,17344,a)]. 18027 K(x,L(y,z * u,(z * u) \ u)) = K(x,L(y,u,z \ 1)). [hyper(17826,a,14572,a),flip(a)]. 18028 K(x,L(y,z * u,z \ 1)) = K(x,L(y,u,z \ 1)). [hyper(17826,a,18027,a)]. 18029 K(x,L(y,z \ u,z \ 1)) = K(x,L(y,u,z \ 1)). [para(14(a,1),18028(a,1,2,2)),flip(a)]. 18030 K(x,L((y * z) \ u,z,y \ 1)) = K(x,((y \ 1) * (y * z)) \ ((y \ 1) * u)). [para(105(a,1),18028(a,1,2)),flip(a)]. 18031 K(x,L(y,a(z,u,u \ 1),z \ 1)) = K(x,L(y,R(z,u,u \ 1),z \ 1)). [para(689(a,1),18028(a,1,2,2)),flip(a)]. 18032 (x * T(a(y,z,u),w)) * K((x * a(y,z,u)) * K(y,a(w,z,u)),v5) = T(K(y,a(w,z,u)) * (x * a(y,z,u)),T(v5,x * a(y,z,u))). [para(17844(a,1),13403(a,1,1))]. 18033 K(x,T(y,(z \ u) \ w)) != v5 | K(x,T(y,u \ (w * z))) = v5. [para(9348(a,1),17942(a,1))]. 18034 K(x,L(y,z,u)) * (K(y,x) * w) = w * a(x,z,K(u,y)). [hyper(17978,a,17802,a)]. 18035 T(T(L(x,y,z) * K(u,x),u),K(L(x,y,z),x \ u)) = L(x,y,z) * a(x,y,K(z,x \ u)). [hyper(236,a,15229,a,b,18034,a(flip)),flip(a)]. 18036 K(L(x,y,z),T(u,w \ (v5 * v6))) = K(x,L(T(u,(v6 \ w) \ v5),y,z)). [hyper(18033,a,11533,a)]. 18037 T(x,K(y,a(z,u,w)) * v5) = v5 \ (x * v5). [para(17679(a,1),17687(a,1,2)),flip(a)]. 18038 T(x,K(y,a(z,u,w)) * v5) = T(x,v5). [hyper(236,a,32,a,b,18037,a)]. 18039 T(x,K(y,a(z,u,w)) * v5) != v6 | T(x,v5) = v6. [para(18037(a,2),284(a,1))]. 18041 T(x,y * K(a(z,u,w),v5)) = T(x,y). [hyper(16357,a,18038,a)]. 18042 T(x,a(y,z,K(u,w)) * v5) = T(x,v5). [para(13863(a,2),18038(a,1,2,1))]. 18043 T(x,K(y,L(z,u,w))) = T(x,K(y,z)). [para(13869(a,1),18038(a,1,2))]. 18044 T(x,K(y,L(z,u,w)) * v5) = T(x,K(y,z) * v5). [para(14656(a,1),18038(a,1,2))]. 18045 T(x,y * a(z,u,K(w,v5))) = T(x,y). [para(17799(a,1),18038(a,1,2))]. 18046 T(x,y \ (a(z,u,w) * v5)) = T(x,y \ (v5 * a(z,u,w))). [para(14857(a,1),18041(a,1,2))]. 18047 (a(x,y,K(z,u)) * w) * T(v5,w) != v6 | v5 * (a(x,y,K(z,u)) * w) = v6. [para(18042(a,1),220(a,1,2))]. 18049 T(x,K(y,L(z,u,w))) = T(x,K(z,y)). [hyper(236,a,7981,a,b,18043,a)]. 18051 T((K(x,y) * z) * T(u,z),K(x,y)) = u * (z * K(x,y)). [hyper(236,a,15437,a(flip),b,18043,a(flip))]. 18052 T(x,K(y,(z * u) \ w)) = T(x,K(y,u \ (z \ w))). [para(227(a,1),18043(a,1,2,2))]. 18053 T(x,K(y,R(z,u,w))) = T(x,K(y,z)). [para(15348(a,2),18043(a,1,2))]. 18054 K(x,y * a(z,u,K(w,v5))) = x \ T(x,y). [hyper(72,a,18045,a(flip),b,4887,a(flip)),flip(a)]. 18055 K(x * a(y,z,K(u,w)),v5) = v5 / T(v5,x). [para(18045(a,1),4826(a,2,2))]. 18056 T(x,y * (z * a(u,w,K(v5,v6)))) = T(x,y * z). [para(12126(a,1),18045(a,1,2))]. 18057 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(18045(a,1),13320(a,1,1,1,1))]. 18059 T(x,K(y,L(z,u,w))) != v5 | T(x,K(y,z)) = v5. [para(18049(a,2),8002(a,1))]. 18061 T(x,K(y,(z * u) \ (w * u))) = T(x,K(y,w / z)). [hyper(16377,a,18053,a)]. 18063 K(x,y * a(z,u,K(w,v5))) = K(x,y). [hyper(236,a,4829,a,b,18054,a)]. 18064 K(x,y * a(z,u,K(w,v5))) != v6 | K(x,y) = v6. [para(18054(a,2),4956(a,1))]. 18065 K(x,a(y,z,K(u,w)) * v5) = K(x,v5). [hyper(17724,a,18063,a)]. 18066 K(x,(y * z) * K(u,w)) = K(x,y * (z * K(u,w))). [para(91(a,1),18063(a,1,2))]. 18067 K(x,y * (z * a(u,w,K(v5,v6)))) = K(x,y * z). [para(12126(a,1),18063(a,1,2))]. 18068 K(x,y * K(z,a(u,w,v5))) = K(x,y). [para(13863(a,1),18063(a,1,2,2))]. 18069 K(x,y * L(z,u,K(w,v5))) = K(x,y * z). [para(14701(a,1),18063(a,1,2))]. 18070 K(x,L(y,z,K(u,w)) \ v5) = K(x,y \ v5). [para(17797(a,1),18063(a,1,2))]. 18071 K(x,K(y,L(z,u,w)) * v5) = K(x,K(y,z) * v5). [para(11504(a,1),18065(a,1,2)),flip(a)]. 18072 K(x,y / T(z,a(u,w,v5))) = K(x,y / z). [para(6197(a,1),18068(a,1,2)),flip(a)]. 18073 K(x,y * (z / a(u,w,v5))) = K(x,y * (a(u,w,v5) \ z)). [para(6448(a,1),18068(a,1,2)),flip(a)]. 18074 K(x,y / (a(z,u,w) * v5)) = K(x,y / (v5 * a(z,u,w))). [para(10448(a,1),18068(a,1,2))]. 18075 K(x * a(y,z,K(u,w)),v5) = K(x,v5). [hyper(236,a,4826,a,b,18055,a)]. 18076 K(x * a(y,z,K(u,w)),v5) != v6 | K(x,v5) = v6. [para(18055(a,2),4928(a,1))]. 18077 K((x * y) * K(z,u),w) = K(x * (y * K(z,u)),w). [para(91(a,1),18075(a,1,1))]. 18078 K(x * K(y,a(z,u,w)),v5) = K(x,v5). [para(13863(a,1),18075(a,1,1,2))]. 18079 K(x \ L(y,z,K(u,w)),v5) = K(x \ y,v5). [para(14687(a,1),18075(a,1,1))]. 18080 (K(x,y) * z) / (L(y * x,u,K(w,v5)) \ z) = (x * a(v5,u,K(y * x,w))) * y. [para(18075(a,1),14802(a,1,1,1))]. 18081 K(K(x,a(y,z,u)) * w,v5) = K(w,v5). [para(17799(a,2),18075(a,1,1))]. 18083 K(x * (y * K(z,a(u,w,v5))),v6) = K(x * y,v6). [para(11556(a,1),18078(a,1,1))]. 18084 K(K(x,L(y,z,u)) * w,v5) = K(K(x,y) * w,v5). [para(14656(a,1),18081(a,1,1))]. 18085 K(x,y * T(z,L(u,w,v5))) = K(x,y * T(z,u)). [para(14677(a,1),18069(a,1,2,2))]. 18086 K(x,y * ((z * K(u,T(w,v5))) / v5)) = K(x,y * (z / (K(w,u) * v5))). [para(15635(a,1),18069(a,1,2,2))]. 18087 K(x,(a(y,z,u) * w) \ v5) = K(x,(w * a(y,z,u)) \ v5). [para(14758(a,1),18070(a,1,2,1))]. 18088 K(x,y / L(z,u,K(w,v5))) = K(x,y / z). [para(14670(a,2),18072(a,1,2,2))]. 18089 L(x,y,K(z,u)) * K(w \ x,w) = (w \ L(x,y,K(z,u))) * w. [para(18079(a,1),249(a,1,2))]. 18090 K(x,y / ((K(z,u) \ w) \ v5)) = K(x,y / (w \ (K(z,u) * v5))). [para(450(a,1),18088(a,1,2,2)),flip(a)]. 18091 T(x,a(y,z,K(u,w)) * v5) != v6 | T(x,v5) = v6. [para(13863(a,2),18039(a,1,2,1))]. 18092 T(x,K(y,L(z,u,w)) * v5) != v6 | T(x,K(y,z) * v5) = v6. [para(14656(a,1),18039(a,1,2))]. 18093 T(x,y / T(z,a(u,w,v5))) != v6 | T(x,y / z) = v6. [para(16256(a,1),18039(a,1))]. 18094 T(x,K(L(y,z,u),w)) != v5 | T(x,K(y,w)) = v5. [para(11471(a,1),18059(a,1,2))]. 18095 K(x,(y * z) * K(u,w)) != v5 | K(x,y * (z * K(u,w))) = v5. [para(91(a,1),18064(a,1,2))]. 18096 K(x,y \ a(z,u,K(w,v5))) != v6 | K(x,y \ 1) = v6. [para(14126(a,1),18064(a,1))]. 18097 K(x,y * T(z,a(u,w,v5))) != v6 | K(x,y * z) = v6. [para(14079(a,1),18064(a,1,2))]. 18098 K(x,(K(y,z) * u) * w) != v5 | K(x,K(y,z) * (u * w)) = v5. [para(13991(a,1),18064(a,1,2))]. 18099 K(x,a(y,z,K(u,w)) * v5) != v6 | K(x,v5) = v6. [para(17667(a,2),18064(a,1,2))]. 18100 K(x,K(y,a(z,u,w)) * v5) != v6 | K(x,v5) = v6. [para(17799(a,2),18064(a,1,2))]. 18101 K(x * T(y,a(z,u,w)),v5) != v6 | K(x * y,v5) = v6. [para(14079(a,1),18076(a,1,1))]. 18102 K((K(x,y) * z) * u,w) != v5 | K(K(x,y) * (z * u),w) = v5. [para(13991(a,1),18076(a,1,1))]. 18103 K(K(x,y) * (z * u),w) != v5 | K((K(x,y) * z) * u,w) = v5. [para(14657(a,1),18076(a,1,1))]. 18104 K(K(x,a(y,z,u)) * w,v5) != v6 | K(w,v5) = v6. [para(17799(a,2),18076(a,1,1))]. 18105 T(x,(y * z) * K(u,w)) != v5 | T(x,y * (z * K(u,w))) = v5. [para(14980(a,1),18091(a,1,2))]. 18106 K(x,(a(y,z,u) * w) \ v5) != v6 | K(x,(w * a(y,z,u)) \ v5) = v6. [para(11048(a,1),18100(a,1,2))]. 18107 K(x,K(y,L(z,u,w)) * v5) != v6 | K(x,K(y,z) * v5) = v6. [para(14656(a,1),18100(a,1,2))]. 18108 K(x,(y * a(z,u,w)) / v5) != v6 | K(x,(a(z,u,w) * y) / v5) = v6. [para(14807(a,1),18100(a,1,2))]. 18109 K(x,y * T(a(z,u,w),v5)) != v6 | K(x,y * a(z,u,w)) = v6. [para(17844(a,1),18100(a,1,2))]. 18110 K(K(x,L(y,z,u)) * w,v5) != v6 | K(K(x,y) * w,v5) = v6. [para(14656(a,1),18104(a,1,1))]. 18111 T(x,y * K(z,L(u,w,v5))) = T(x,K(z,u) * y). [hyper(16130,a,18044,a)]. 18112 T(x,K(y,L(z,u,w)) * v5) = v5 \ T(x * T(v5,K(z,y)),K(z,y)). [hyper(236,a,15654,a,b,18044,a)]. 18113 T(x,K(y,(z * u) \ w) * v5) = T(x,K(y,u \ (z \ w)) * v5). [para(227(a,1),18044(a,1,2,1,2))]. 18116 T(x,K(y,(z / u) / w) * v5) = T(x,K(y,z / (w * u)) * v5). [para(15354(a,1),18044(a,1,2,1)),flip(a)]. 18117 T(x,y * (L(z,u,K(w,v5)) \ v6)) = T(x,y * (z \ v6)). [para(17797(a,1),18056(a,1,2,2))]. 18118 K(x,y * ((z * u) * K(w,v5))) = K(x,y * (z * (u * K(w,v5)))). [para(91(a,1),18067(a,1,2,2))]. 18119 K(x,y * K(z,L(u,w,v5))) = K(x,y * K(z,u)). [para(11482(a,1),18067(a,1,2,2))]. 18120 K(x,y * (z * (u * a(w,v5,K(v6,v7))))) = K(x,y * (z * u)). [para(12126(a,1),18067(a,1,2,2))]. 18121 K(x,y * (z \ L(u,w,K(v5,v6)))) = K(x,y * (z \ u)). [para(14687(a,1),18067(a,1,2,2))]. 18122 K(x,y * (a(z,u,K(w,v5)) * v6)) = K(x,y * v6). [para(17667(a,2),18067(a,1,2,2))]. 18123 K(x,K(y,z) * (u * w)) = K(x,u * (w * K(y,z))). [hyper(16827,a,18071,a),flip(a)]. 18126 K(x,K(y,L(z,u,w)) * v5) != v6 | K(x,v5 * K(z,y)) = v6. [para(18071(a,2),16361(a,1))]. 18127 K(x,K(y,z) * (u * w)) != v5 | K(x,u * (w * K(y,z))) = v5. [para(18071(a,1),16827(a,1))]. 18129 K(x * (y / T(z,a(u,w,v5))),v6) = K(x * (y / z),v6). [para(6197(a,1),18083(a,1,1,2)),flip(a)]. 18130 K(K(x,(y * z) \ u) * w,v5) = K(K(x,z \ (y \ u)) * w,v5). [para(227(a,1),18084(a,1,1,1,2))]. 18131 K(K((x \ y) \ z,u) * w,v5) = K(K(y \ (x * z),u) * w,v5). [para(11544(a,1),18084(a,1,1,1)),flip(a)]. 18132 K(x,y * T((z \ 1) * u,u)) = K(x,y * (L(u,z \ 1,z) / z)). [hyper(236,a,15763,a(flip),b,18085,a(flip))]. 18134 K(x,y * T(z,(u \ w) \ v5)) = K(x,y * T(z,w \ (u * v5))). [para(450(a,1),18085(a,1,2,2,2)),flip(a)]. 18135 T(x,K(y,z) * (u * w)) = T(x,u * (w * K(y,z))). [para(6586(a,1),18111(a,1,2)),flip(a)]. 18137 K(x,y * K(z,(u * w) \ v5)) = K(x,y * K(z,w \ (u \ v5))). [para(227(a,1),18119(a,1,2,2,2))]. 18138 T(x,K(y,z \ (u \ w))) = T(x,K(y,w \ (u * z))). [hyper(9322,a,18052,a),flip(a)]. 18139 T(x,K(y,z \ (u \ w))) != v5 | T(x,K(y,w \ (u * z))) = v5. [para(18052(a,1),9322(a,1))]. 18140 T(x,K(y,(z * u) \ (w * u))) != v5 | T(x,K(y,z \ w)) = v5. [para(18061(a,2),16306(a,1))]. 18141 K(x,K(y,z) * (u * w)) = K(x,u * (w * K(z,y))). [hyper(16281,a,18066,a)]. 18142 K(x,(y * z) * K(u,w)) = K(x,y * (K(u,w) * z)). [hyper(236,a,16630,a,b,18066,a)]. 18143 K(x,(y * (z \ 1)) * K(u,w)) = K(x,y * (z \ K(u,w))). [para(14046(a,1),18066(a,2,2,2))]. 18144 K(x,y * (z * K(u,w))) != v5 | K(x,K(u,w) * (y * z)) = v5. [para(18066(a,1),16182(a,1))]. 18145 K(x,y * (z * K(u,w))) != v5 | K(x,K(w,u) * (y * z)) = v5. [para(18066(a,1),16281(a,1))]. 18146 K(x * ((y / x) * K(z,u)),w) = K(K(u,z) * y,T(w,x)). [hyper(17265,a,18077,a),flip(a)]. 18147 K(K(x,y) * (z * u),w) = K(z * (u * K(y,x)),w). [hyper(16367,a,18077,a)]. 18148 K(K(x,y) * (z * u),w) = K(z * (u * K(x,y)),w). [hyper(16184,a,18077,a)]. 18149 K((x * y) * K(z,u),w) = K(x * (y * K(u,z)),w). [hyper(15706,a,18077,a)]. 18151 T(x,y / L(z,u,K(w,v5))) != v6 | T(x,y / z) = v6. [para(14670(a,2),18093(a,1,2,2))]. 18152 T(x,y / (a(z,u,w) * v5)) != v6 | T(x,y / (v5 * a(z,u,w))) = v6. [para(15883(a,1),18093(a,1))]. 18153 K(x,y * T(z,L(u,w,v5))) != v6 | K(x,y * T(z,u)) = v6. [para(14361(a,1),18097(a,1,2,2))]. 18155 K(x,y * (z * K(u * K(w,v5),v6))) = K(x,K(u,v6) * (y * z)). [hyper(17311,a,18123,a),flip(a)]. 18156 K(x,K(y,z) * (u * w)) = K(x,u * (K(y,z) * w)). [hyper(236,a,16630,a,b,18123,a)]. 18159 K(x,K(y,z) * (u * w)) != v5 | K(x,u * (K(y,z) * w)) = v5. [para(18123(a,2),16688(a,1))]. 18160 T(x,y * ((z / y) * K(u,w))) = T(x,K(u,w) * T(z,y)). [hyper(16411,a,18135,a),flip(a)]. 18161 T(x,K(y,z) * (u * (w \ T(z,y)))) = T(x,u * (w \ z)). [para(14430(a,1),18135(a,2,2,2))]. 18162 T(x,K(y,z) * (u * (w \ y))) = T(x,u * (w \ T(y,z))). [para(14432(a,1),18135(a,2,2,2))]. 18163 K(x,K(y,z) * (u * w)) = K(x,u * (K(z,y) * w)). [hyper(236,a,16630,a,b,18141,a)]. 18164 K(x,y * (z * K(u,w))) = K(x,y * (z * K(w,u))). [hyper(236,a,18123,a(flip),b,18141,a(flip))]. 18165 K(x,K(y,z) * (u * (w * z))) = K(x,u * (w * T(z,y))). [para(6201(a,1),18141(a,2,2,2))]. 18166 K(x,y * (z * K(u,z))) != w | K(x,y * T(z,u)) = w. [para(18141(a,1),16243(a,1))]. 18168 K(x,(y * (z \ 1)) * K(u,w)) != v5 | K(x,y * (z \ K(u,w))) = v5. [para(18142(a,2),16731(a,1))]. 18169 K(K(x,x \ y) * (z * (u * (y / x))),w) = K(z * (u * (x \ y)),w). [para(6448(a,1),18147(a,2,1,2))]. 18170 K(x * (y * K(z,u)),w) = K(x * (y * K(u,z)),w). [hyper(236,a,18147,a(flip),b,18148,a(flip))]. 18171 K(x * (y * K(z,L(u,w,v5))),v6) = K(K(z,u) * (x * y),v6). [hyper(236,a,18084,a(flip),b,18148,a(flip))]. 18172 K(K(x,y) * (z * (u / y)),w) = K(z * (u / T(y,x)),w). [para(7555(a,1),18148(a,2,1,2))]. 18173 K(K(x,y) * (z * (u \ 1)),w) = K(z * (u \ K(x,y)),w). [para(14046(a,1),18148(a,2,1,2))]. 18174 K(x * ((y \ z) * K(u,z)),L(y / x,x,y \ z)) = K(x * (y \ z),T(R(y / x,x,y \ z),u)). [hyper(236,a,15955,a(flip),b,18149,a(flip))]. 18175 T(x,y / L(z,u,K(w,v5))) = T(x,y / z). [hyper(18151,a,xx),flip(a)]. 18176 K(x,K(y,z \ u) * (w * v5)) = K(x,w * (K(y,u / z) * v5)). [hyper(236,a,16785,a,b,18156,a)]. 18177 K(x,K(y,z) * ((u \ K(z,y)) * w)) = K(x,u \ w). [hyper(236,a,17904,a(flip),b,18156,a)]. 18178 K(x,y * (K(z,y) * u)) = K(x,T(y,z) * u). [para(4906(a,1),18163(a,1,2)),flip(a)]. 18179 K(x,K(y,z) * (u * (y \ w))) = K(x,u * (T(y,z) \ w)). [para(5204(a,1),18163(a,2,2,2))]. 18180 K(x,K(y,z) * (u * w)) != v5 | K(x,u * (w * K(z,y))) = v5. [para(18163(a,2),16677(a,1))]. 18181 K(x,K(y,z) * (u * (w / y))) != v5 | K(x,u * (w / T(y,z))) = v5. [para(18163(a,2),16728(a,1))]. 18182 K(x,(y / T(z,y)) * (K(z,y / T(z,y)) * u)) = K(x,(z \ T(y,z)) * u). [para(4111(a,1),18178(a,2,2,1))]. 18183 K(x,T(y \ z,y) * u) = K(x,(z / y) * u). [para(5571(a,1),18178(a,1,2)),flip(a)]. 18184 K(x,T(y / z,y) * (K(u,z \ y) * w)) = K(x,T(T(y / z,y),u) * w). [para(7271(a,1),18178(a,1,2,2,1))]. 18185 K(x,L(y * (K(z,y) * u),w,v5)) = L(K(x,T(y,z) * u),w,v5). [para(18178(a,1),11470(a,1,1)),flip(a)]. 18186 K(x,(L(y,z \ 1,z) / z) * u) = K(x,T((z \ 1) * y,z) * u). [para(392(a,1),18183(a,1,2,1,1)),flip(a)]. 18187 K(x,(((y \ z) \ z) \ z) * u) = K(x,(z / y) * u). [para(4108(a,1),18183(a,1,2,1))]. 18188 K(x,y * ((z / u) * K(w,z))) = K(x,y * (T(z,w) / u)). [hyper(16732,a,18164,a),flip(a)]. 18189 K(x,y * (z * K(u,u \ w))) = K(x,y * (z * K(w,u))). [hyper(236,a,13184,a(flip),b,18164,a)]. 18190 K(x,y * ((z / u) * K(u,w))) = K(x,y * (z / T(u,w))). [para(7555(a,1),18164(a,1,2,2)),flip(a)]. 18191 K(x,y * ((z \ u) * K(w,u))) = K(x,y * (z \ T(u,w))). [para(14432(a,1),18164(a,1,2,2)),flip(a)]. 18192 K((x * K(y,z)) * T(u,x),w) = K(u * (x * K(z,y)),w). [hyper(236,a,16741,a,b,18170,a),flip(a)]. 18193 K(x * ((y / T(z,u)) * K(u,z)),w) = K(x * (y / z),w). [para(6197(a,1),18170(a,1,1,2)),flip(a)]. 18194 K(x * ((y / z) * K(z,u)),w) = K(x * (y / T(z,u)),w). [para(7555(a,1),18170(a,1,1,2)),flip(a)]. 18195 K(x * ((y \ z) * K(u,z)),w) = K(x * (y \ T(z,u)),w). [para(14432(a,1),18170(a,1,1,2)),flip(a)]. 18196 K(x,T(y \ z,z) * u) = K(x,(z / y) * u). [hyper(236,a,13056,a(flip),b,18187,a(flip)),flip(a)]. 18197 K(x,(y / (y / z)) * u) = K(x,T(z,y) * u). [para(65(a,1),18196(a,1,2,1,1)),flip(a)]. 18198 K(x,T(T(y / z,y),u) * ((z \ y) \ w)) = K(x,K(y \ (z * u),z \ y) * w). [hyper(236,a,13747,a(flip),b,18197,a(flip))]. 18199 K(x * ((K(y,T(z,u)) * w) / v5),v6) = K(x * (K(y,z) * (w / v5)),v6). [hyper(236,a,16908,a(flip),b,18129,a(flip))]. 18201 T(K(x,y) * z,K(x,y)) * T(T(K(x,y) * z,K(x,y)) \ T(u,K(x,y)),z) = ((K(x,y) * z) \ u) * (z * K(x,y)). [hyper(236,a,2053,a,b,18051,a(flip)),flip(a)]. 18203 T(x,(K(y,z) * u) * w) != v5 | T(x,K(y,z) * (u * w)) = v5. [para(15367(a,1),18092(a,1,2))]. 18204 K(K(L(x,y,z),u) * w,v5) != v6 | K(K(x,u) * w,v5) = v6. [para(11471(a,1),18110(a,1,1,1))]. 18205 K(x,(y * (z \ 1)) * K(u,w)) = K(x,y * (z \ K(u \ 1,w))). [hyper(16416,a,18143,a)]. 18206 K(x,y * T(z,(u * w) \ v5)) != v6 | K(x,y * T(z,w \ (u \ v5))) = v6. [para(227(a,1),18153(a,1,2,2,2))]. 18207 T(x,K(y,z) * (u * (w \ T(z,v5)))) = T(x,u * (w \ T(T(z,v5),y))). [hyper(16749,a,18162,a)]. 18208 T(x,K(y,z) * (u * (w \ z))) = T(x,u * (w \ T(z,y))). [hyper(15799,a,18162,a)]. 18209 K(x,(y \ K(z,u)) * (w * T(z,u))) = K(x,y \ (w * z)). [hyper(236,a,18177,a(flip),b,18165,a(flip))]. 18210 K(K(x * ((y / x) * K(z,u)),w) * (v5 * (v6 / w)),v7) = K(v5 * (v6 / T(w,K(z,u) * T(y,x))),v7). [para(18160(a,1),18172(a,2,1,2,2))]. 18211 K(x,y * ((z \ u) * K(z,w))) = K(x,y * (T(z,w) \ u)). [hyper(236,a,18123,a(flip),b,18179,a(flip)),flip(a)]. 18212 K(x,K(R(y,y \ z,u),w) * (v5 * ((y \ z) * u))) = K(x,v5 * (T(R(y,y \ z,u),w) \ (z * u))). [para(463(a,1),18179(a,1,2,2,2))]. 18213 K(x,K(K(y,K(z,u)) * w,K(z,u) * y) * (v5 * ((K(y,K(z,u)) * w) \ v6))) = K(x,v5 * ((y \ T(w * y,K(z,u))) \ v6)). [para(16519(a,1),18179(a,2,2,2,1))]. 18214 K(x,K(y,z * (T(u,w) \ v5)) * v6) != v7 | K(x,K(z * (u \ v5),y) * v6) = v7. [para(18179(a,1),17305(a,1,2,1))]. 18215 K(x,y * (K(z \ u,z) * (z / w))) = K(x,y * (T(z,u) / w)). [hyper(16796,a,18188,a)]. 18216 K(x,y * (K(z,u) * (u / w))) = K(x,y * (T(u,z) / w)). [hyper(16688,a,18188,a)]. 18217 K(x,y * (z * K(u * w,u))) = K(x,y * (z * K(u,w))). [para(13(a,1),18189(a,1,2,2,2,2)),flip(a)]. 18218 K(x,y * (z \ (u * (w / u)))) = K(x,y * ((z \ w) * K(w,u))). [para(15624(a,1),18189(a,1,2,2))]. 18219 K(x,y * (K(z,u) * (w / z))) = K(x,y * (w / T(z,u))). [hyper(16688,a,18190,a)]. 18221 K(x * (y / T(T(z,u),u)),w) = K(x * (y / z),w). [para(7629(a,1),18193(a,1,1,2))]. 18222 K(x * (T(T(y,z),z) \ u),w) = K(x * (T(u,y) / y),w). [hyper(13218,a,18221,a)]. 18223 K(x * (K(y,z) * (u / y)),w) = K(x * (u / T(y,z)),w). [hyper(16691,a,18194,a)]. 18225 K(K(x * (y * z),x * y) * u,w) != v5 | K(K(z,x * y) * u,w) = v5. [para(13426(a,2),18204(a,1))]. 18226 K(x * K(y,L(z,u,w)),v5) != v6 | K(K(z,y) * x,v5) = v6. [para(16266(a,1),18204(a,1))]. 18227 T(x,K(y,z) * (u * (w \ T(y,v5)))) = T(x,u * (w \ T(T(y,v5),z))). [hyper(16695,a,18208,a)]. 18228 K(x,y * ((z * (u / z)) \ w)) = K(x,y * (T(u,z) \ w)). [hyper(236,a,16788,a,b,18211,a(flip)),flip(a)]. 18229 K(x,y * (z / T(u,w))) * K(x,K(y,z / T(u,w))) = K(x,(K(u,w) * (z / u)) * y). [para(18219(a,1),16348(a,1,1))]. 18230 K(x * (T(T(y,z),z) \ u),w) = K(x * (y \ u),w). [hyper(236,a,13214,a(flip),b,18222,a)]. 18231 K(x * (T(y \ z,y) \ u),w) = K(x * ((z / y) \ u),w). [para(121(a,1),18230(a,1,1,2,1,1))]. 18232 K(x * (y / T(z,T(u,w))),v5) = K(x * (K(z,u) * (y / z)),v5). [hyper(16759,a,18223,a),flip(a)]. 18233 K(x * (K(L(y,y \ z,u),w) * (u * (z / y))),v5) = K(x * ((u * z) / T(L(y,y \ z,u),w)),v5). [para(10740(a,1),18223(a,1,1,2,2))]. 18234 K(x,y * (T(z * u,u) \ w)) = K(x,y * ((u * z) \ w)). [para(15(a,1),18228(a,1,2,2,1,2)),flip(a)]. 18235 K(x,y * (((K(z,u) * w) * ((K(w,K(z,u)) * v5) / (K(z,u) * w))) \ v6)) = K(x,y * ((w \ T(v5 * w,K(z,u))) \ v6)). [para(16519(a,1),18228(a,2,2,2,1))]. 18236 K(x,y * (z / (u * z))) = K(x,y * ((z * u) \ z)). [hyper(236,a,15753,a(flip),b,18234,a(flip)),flip(a)]. 18237 K(x,y * (z / (x * z))) = K(x,x \ y). [hyper(236,a,17378,a(flip),b,18236,a)]. 18238 K(x,y * (z / (y * z))) = 1. [hyper(236,a,7040,a(flip),b,18236,a)]. 18239 T(x,y * (z / (y * z))) = x. [hyper(37,a,18238,a)]. 18244 T(x * (y / (x * y)),z) = x * (y / (x * y)). [hyper(35,a,18239,a)]. 18247 K(x / y,(x / y) \ z) = K(x / y,z * (y / x)). [para(16(a,1),18237(a,1,2,2,2)),flip(a)]. 18250 T(x * ((x \ y) / y),z) = x * ((x \ y) / (x * (x \ y))). [para(14(a,1),18244(a,1,1,2,2))]. 18252 T(x * ((x \ y) / y),z) = x * ((x \ y) / y). [para(14(a,1),18250(a,2,2,2))]. 18253 (x \ (((1 / x) \ y) / y)) * x = ((1 / x) \ y) / y. [hyper(936,a,18252,a)]. 18254 (x \ (((1 / x) \ y) / y)) \ (((1 / x) \ y) / y) != z | z = x. [para(18253(a,1),283(a,1,2))]. 18255 K(x * (K(y,z) * u),T(w,u)) != v5 | K(K(y,z) * (u * x),w) = v5. [para(16955(a,2),18102(a,1))]. 18256 K((K(x,y) * z) * u,w) = K(z * (u * K(y,x)),w). [hyper(18103,a,18147,a)]. 18257 K((x * K(y,z)) * u,w) = K(x * (u * K(z,y)),w). [hyper(16735,a,18256,a)]. 18258 K((x \ y) * (z * K(x,u)),w) = K((T(x,u) \ y) * z,w). [para(5204(a,1),18256(a,1,1,1)),flip(a)]. 18259 K(((x / (x / y)) \ z) * u,w) = K((y \ z) * (u * K(y \ x,y)),w). [para(5509(a,2),18256(a,1,1,1))]. 18261 K((K(x,y) / z) \ u,w) = K(z * (u * K(x,y)),w). [hyper(14293,a,18257,a)]. 18262 K((x * K(y,z)) * T(u,x),w) = K((u * K(y,z)) * x,w). [hyper(236,a,18192,a,b,18257,a),flip(a)]. 18263 K((x \ y) * (z * K(u,x)),w) = K((T(x,u) \ y) * z,w). [hyper(236,a,18170,a,b,18258,a(flip)),flip(a)]. 18264 K(K(x,y) * ((x \ z) * u),w) = K((T(x,y) \ z) * u,w). [hyper(236,a,18148,a,b,18258,a(flip)),flip(a)]. 18265 K(K(x,K(y,z)) * (((K(x,y) * z) \ u) * w),v5) = K((T(K(x,y) * z,T(z,v6)) \ u) * w,v5). [para(16605(a,1),18264(a,1,1,1))]. 18266 T(x,y * (z * K(u,y * z))) = T(x,T(y * z,u)). [hyper(18105,a,8154,a)]. 18267 T(x,(y \ 1) * (z * K(u,y \ z))) = T(x,T((y \ 1) * z,u)). [para(14126(a,1),18266(a,1,2,2,2))]. 18268 K(x,y * (z * K(u,L(w,v5,v6)))) = K(x,y * (z * K(u,w))). [para(11482(a,1),18120(a,1,2,2,2))]. 18269 K(x,K(y,L(z,u,w)) * (v5 * v6)) != v7 | K(x,v5 * (v6 * K(y,z))) = v7. [para(18071(a,2),18127(a,1))]. 18270 K(x,y * (z * K(u,w))) != v5 | K(x,y * (z * K(w,u))) = v5. [para(18141(a,1),18127(a,1))]. 18271 T(x,K(y,(z \ u) \ w)) != v5 | T(x,K(y,u \ (z * w))) = v5. [para(9297(a,1),18139(a,1))]. 18272 T(x,K(y,z \ (u \ (w * z)))) = T(x,K(y,u \ w)). [hyper(18140,a,18052,a),flip(a)]. 18273 K(x,K(y,z \ (u \ (w * z)))) = x \ T(x,K(y,u \ w)). [hyper(72,a,18272,a(flip),b,4887,a(flip)),flip(a)]. 18274 K(x,K(y,z \ (u \ (w * z)))) = K(x,K(y,u \ w)). [hyper(236,a,4829,a,b,18273,a)]. 18275 K(x,K(y,z \ (u \ w))) = K(x,K(y,u \ (w / z))). [para(16(a,1),18274(a,1,2,2,2,2))]. 18276 K(x,K(y,z \ (u \ w))) = K(x,K(y,u \ (z \ w))). [hyper(236,a,17045,a(flip),b,18275,a)]. 18277 K(x,K(y,z \ (T(u,w) \ v5))) != v6 | K(x,K(y,u \ (z \ v5))) = v6. [para(18276(a,1),17085(a,1))]. 18278 K(x * (K(y,L(z,u,w)) * v5),v6) = K(K(y,z) * (x * v5),v6). [hyper(16691,a,18171,a)]. 18279 T(x,(y * K(z,u)) * w) = T(x,K(z,u) * (y * w)). [hyper(18203,a,16616,a),flip(a)]. 18280 T(x,(y \ K(z,u)) \ w) != v5 | T(x,K(u,z) * (y * w)) = v5. [para(14522(a,2),18203(a,1))]. 18281 T(x,(y * K(z,u)) * w) != v5 | T(x,K(z,u) * (y * w)) = v5. [para(16616(a,1),18203(a,1))]. 18282 T(x,K(y * z,y \ 1) * ((z / (y * z)) * u)) = T(x,T(R(1 / y,y,z),y * z) * u). [hyper(236,a,15903,a(flip),b,18279,a(flip))]. 18283 T(x,K(y,z) * ((u / (y * z)) * w)) = T(x,(u / (z * y)) * w). [para(10448(a,1),18279(a,1,2,1)),flip(a)]. 18284 T(x,K(y,z) * ((u \ (z * y)) * w)) = T(x,(u \ (y * z)) * w). [para(14857(a,1),18279(a,1,2,1)),flip(a)]. 18285 T(x,K(y,z) * ((u \ (y * z)) * w)) = T(x,(u \ (T(y,z) * z)) * w). [para(14958(a,1),18279(a,1,2,1)),flip(a)]. 18287 T(x,y / (z \ K(u,w))) != v5 | T(x,K(w,u) * (y * z)) = v5. [para(18003(a,2),18281(a,1))]. 18288 x \ ((a(y,z,u) * w) * T(x,w)) = T(K(x,w) * (a(y,z,u) * w),x). [hyper(394,a,17722,a(flip),b,7189,a),flip(a)]. 18290 K(x,L(y / a(z,u,w),v5,v6)) != v7 | K(x,L(a(z,u,w) \ y,v5,v6)) = v7. [para(17811(a,1),11589(a,1))]. 18291 L(x,y,K(z,u) * (w * z)) = L(x,y,w * ((u \ z) * u)). [hyper(236,a,13544,a(flip),b,17812,a(flip)),flip(a)]. 18292 L(x,y,z * ((u \ w) * u)) = L(x,y,z * T(w,u)). [hyper(236,a,17745,a(flip),b,18291,a(flip))]. 18293 L(x,y,T(z,u) / (z / w)) = L(x,y,T(z,u) * (w / z)). [hyper(236,a,16444,a(flip),b,17813,a(flip))]. 18294 T(K(x,K(y,z)) * u,K(x,y)) = K(x,T(y,z)) * (u * K(y,x)). [hyper(10506,a,17863,a),flip(a)]. 18295 K(x * L(T(y,z),u,w),T(v5,y)) = K(L(T(y,z),u,w) * x,v5). [hyper(17,a,13404,a(flip),b,17879,a)]. 18296 (x * ((y * K(z,K(u,w))) * v5)) \ (K(z,K(u,w)) * ((x * y) * v5)) = a(x,y * K(z,K(u,w)),v5). [hyper(72,a,17893,a(flip),b,91,a)]. 18298 T(x * K(y,K(z,u)),K(y,z)) = K(z,y) * (x * K(y,T(z,u))). [hyper(5286,a,17896,a),flip(a)]. 18305 (x * (y * K(z,K(u,w)))) \ v5 != v6 | K(z,K(u,w)) * ((x * y) \ v5) = v6. [para(17944(a,2),16129(a,1))]. 18306 K(x,L(y / z,u,w)) != v5 | K(x,y / z) * a(x,u,K(w,z \ y)) = v5. [para(17987(a,1),17954(a,1))]. 18307 K(x,y) * a(y,z,K(x,L(u \ w,v5,v6))) = K(x,L(y,z,L((u / w) \ 1,v5,v6))). [para(17994(a,1),14338(a,1,2))]. 18308 K(x,L(y,(z \ u) \ 1,z * (z \ u))) = K(x,L(y,z,u)). [hyper(17827,a,18005,a)]. 18309 K(x,L(y,(z \ u) \ 1,u)) = K(x,L(y,z,u)). [para(14(a,1),18308(a,1,2,3))]. 18310 T(T(x,y),x \ z) * (x \ z) = T(x,T(y,z)) * (z / x). [para(7995(a,1),18008(a,1,1)),flip(a)]. 18311 K(x,y / (T(z,T(u,w)) \ v5)) != v6 | K(x,y / (T(z,u) \ v5)) = v6. [para(18010(a,2),14545(a,1))]. 18312 L(x,y,K(z,u)) * a(a(w,v5,v6) \ x,v5,K(v6,w)) = (a(w,v5,v6) \ L(x,y,K(z,u))) * a(w,v5,v6). [para(14004(a,2),18089(a,1,2))]. 18313 T(x,K(y,(z / u) / w) * v5) = T(x,K(y,(w * u) \ z) * v5). [hyper(16747,a,18116,a(flip)),flip(a)]. 18314 K(x,y * (z * (u * K(w,L(v5,v6,v7))))) = K(x,y * ((z * u) * K(w,v5))). [hyper(236,a,18268,a(flip),b,18118,a(flip))]. 18315 K(x,y * ((z \ u) * (z * K(w,v5)))) = K(x,y * (K(w,v5) * T(u,z))). [hyper(236,a,16737,a(flip),b,18118,a(flip))]. 18316 K(x,y * (z * (u * K(T(w,v5) \ v6,w)))) = K(x,y * ((z * u) * K(w \ v6,w))). [para(7486(a,1),18118(a,1,2,2,2)),flip(a)]. 18317 K(x,y * (z * K(u * K(w,v5),T(v6,v7)))) = K(x,(y * z) * K(u,v6)). [hyper(236,a,16701,a(flip),b,18155,a)]. 18318 K(x,y * (K(z,1 / u) * w)) = K(x,(y * w) * K(u,z)). [hyper(16363,a,18176,a),flip(a)]. 18319 K(x,y * (K(z,1 / u) * w)) = K(x,y * (w * K(u,z))). [hyper(236,a,18066,a(flip),b,18318,a)]. 18320 K(x,y * (K(z,u \ 1) * w)) = K(x,y * (w * K(u,z))). [hyper(16826,a,18319,a)]. 18321 K(x,y * (z \ K(u,w \ 1))) = K(x,y * ((z \ 1) * K(w,u))). [hyper(16731,a,18320,a)]. 18322 K(x,L(y * (K(z,y) * u),w,v5)) = K(x,L(T(y,z) * u,w,v5)). [hyper(236,a,11470,a(flip),b,18185,a)]. 18323 K(x,y * ((z * K(z \ u,z)) / w)) = K(x,y * (T(z,u) / w)). [para(17440(a,2),18215(a,1,2,2))]. 18324 K(x,y * (z \ (u * (w / u)))) = K(x,y * (z \ T(w,u))). [para(14432(a,1),18218(a,2,2,2))]. 18325 K(x,y * (z \ T(u * w,w))) = K(x,y * (z \ (w * u))). [para(15(a,1),18324(a,1,2,2,2,2)),flip(a)]. 18326 K(x,y * (z \ T(u * w,u \ 1))) = K(x,y * (z \ (w * u))). [hyper(236,a,13220,a,b,18325,a(flip)),flip(a)]. 18328 K(x * (K(y,z) * (u / y)),w) != v5 | K(x * (u / T(y,z)),w) = v5. [para(18232(a,1),16813(a,1))]. 18329 T(x,y \ (z * K(u,y \ z))) = T(x,T((y \ 1) * z,u)). [hyper(14260,a,18267,a)]. 18330 T(x,(y \ z) * K(u,y \ z)) = T(x,T((y \ 1) * z,u)). [para(6485(a,1),18329(a,1,2))]. 18331 T(x,T((y \ 1) * z,u)) = T(x,T(y \ z,u)). [hyper(8423,a,18330,a),flip(a)]. 18332 (L(x \ 1,y,z) \ 1) \ T(L(x \ 1,y,z) \ 1,T(u \ w,v5)) = T(K(x,L(T((u \ 1) * w,v5),y,z)),L(x \ 1,y,z) \ 1). [hyper(394,a,18331,a(flip),b,11685,a),flip(a)]. 18333 K(x * L(y * K(z,y),u,w),T(v5,y)) = K(L(T(y,z),u,w) * x,v5). [hyper(236,a,15790,a,b,18295,a(flip)),flip(a)]. 18336 T(x,K(y,(z / u) / w) * v5) = T(x,K(y,u \ (w \ z)) * v5). [hyper(236,a,18113,a(flip),b,18313,a)]. 18337 K(x,y * (z \ K(u,w \ 1))) = K(x,y * (z \ K(w,u))). [para(14046(a,1),18321(a,2,2,2))]. 18338 K(x,L(((y * z) / y) / u,w,v5)) = K(x,L(T(z,y) * (u \ 1),w,v5)). [hyper(14663,a,18322,a)]. 18339 K(x,y * ((z / (z / u)) / w)) = K(x,y * (T(u,z) / w)). [para(4799(a,2),18323(a,1,2,2,1))]. 18340 K(x,y * (z \ (u / (u / w)))) = K(x,y * (T(w,u) / T(z,w))). [hyper(236,a,16808,a(flip),b,18339,a(flip)),flip(a)]. 18341 T(x,K(y,z \ (u \ w)) * v5) != v6 | T(x,K(y,u \ (w / z)) * v5) = v6. [para(18336(a,1),16747(a,1))]. 18342 K(x,y * (z \ (u / (u / w)))) = K(x,y * (z \ T(w,u))). [hyper(236,a,16809,a(flip),b,18340,a)]. 18344 K(x,L(T(y,z),u,x \ (u \ z))) = K(z / ((z / (u * x)) * u),y). [hyper(14939,a,17823,a)]. 18346 K(x,(a(y,z,u) * (w \ 1)) \ v5) != v6 | K(x,L(w * (a(y,z,u) \ v5),v5,a(u,z,y) \ 1)) = v6. [para(14662(a,1),17963(a,1))]. 18347 T(x,K(y,L(z,u,w)) * v5) = v5 \ T(x * T(v5,K(z,y)),K(y,z)). [para(7981(a,1),18112(a,2,2))]. 18350 K(x,y * (z \ K(u \ 1,w))) != v5 | K(x,y * (z \ K(u,w))) = v5. [para(18205(a,1),18168(a,1))]. 18351 K(x,y * ((z / u) * K(u,w))) != v5 | K(x,y * (z / T(u,w))) = v5. [para(18123(a,1),18181(a,1))]. 18358 K(x * ((y / z) * K(z,u)),w) != v5 | K(x * (y / T(z,u)),w) = v5. [para(16660(a,1),18328(a,1))]. 18359 K(x / ((x / (y * z)) * y),u) = K(z,L(T(u,x),y,y \ x)). [hyper(236,a,14586,a(flip),b,18344,a(flip))]. 18360 K(x \ y,L(T(z,u),y,x \ u)) = K(u / ((u / (x * (x \ y))) * x),z). [hyper(236,a,11565,a,b,18359,a),flip(a)]. 18361 T(x,K(y,L(z \ 1,u,w)) * v5) = v5 \ T(x * T(v5,K(z,y)),K(y,z \ 1)). [para(9292(a,1),18347(a,2,2,1,2))]. 18362 K(K(x,y) * (z * (u / y)),w) != v5 | K(z * (u / T(y,x)),w) = v5. [para(18147(a,2),18358(a,1))]. 18364 K(x,T(y \ z,K(u,w) \ y)) = K(x,(K(u,w) \ z) / (K(w,u) * y)). [para(5260(a,2),17695(a,2,2,1))]. 18366 K((x * K(y,z)) \ ((x * u) * K(y,z)),w) = K(u,T(T(w,x),x)). [hyper(236,a,8085,a(flip),b,17736,a)]. 18367 K((x * K(y,z)) \ ((x * u) * K(y,z)),w) != v5 | K(u,w) = v5. [para(18366(a,2),8174(a,1))]. 18369 K(x,(L(K(y,z),u,w) * v5) \ v6) = K(x,v5 \ (L(K(z,y),u,w) * v6)). [para(6039(a,1),17781(a,1,2,1))]. 18370 K(x,y) * (((y \ 1) \ z) * (y \ 1)) = ((y \ K(y,x)) \ z) * (y \ 1). [para(6012(a,2),17861(a,1,2))]. 18371 L(x,y,T((z \ 1) * ((z \ K(z,u)) \ w),z \ 1)) = L(x,y,K(u,z) * (w * K(w * z,z \ 1))). [para(17861(a,2),13502(a,2,3))]. 18372 K(x,y * z) * K(u \ K(x,z * y),u) = (u \ K(x,y * z)) * u. [hyper(236,a,13247,a(flip),b,18009,a(flip)),flip(a)]. 18373 T(((x / y) * z) * y,K(x / y,y)) = ((y \ x) * z) * T(y,y \ x). [para(4119(a,1),18022(a,2,2))]. 18374 x * a(y,z * ((z \ u) * w),K((z * ((z \ u) * w)) \ u,u \ x)) = u * L(u \ x,x,K(L(w,z \ u,z),y)). [para(104(a,1),18023(a,1,2,3,1)),flip(a)]. 18375 x * L(x \ y,y,K(x \ z,u)) = y * a(y \ x,z,K(z \ x,u)). [para(14005(a,2),18023(a,2,2))]. 18376 K(x,L(T(y,(z \ u) \ w),v5,v6)) = K(x,L(T(y,u \ (w * z)),v5,v6)). [hyper(11595,a,18036,a),flip(a)]. 18377 K(K(x,y) * (z * (u * (y / x))),w) = K(z * (u * (x \ y)),w). [hyper(13393,a,18169,a)]. 18379 K(x * ((K(y,z) * u) / w),v5) = K(x * (K(y,z) * (u / w)),v5). [para(118(a,1),18199(a,1,1,2,1,1,2))]. 18380 T(x,y * (z \ T(T(u,w),w))) = T(x,y * (z \ u)). [hyper(236,a,18161,a(flip),b,18207,a(flip))]. 18381 K((T(x,x \ y) \ z) * u,w) = K(((y / (y / x)) \ z) * u,w). [hyper(236,a,18263,a(flip),b,18259,a),flip(a)]. 18383 K(x,(K(y,z) * u) * w) != v5 | K(x,u * (w * K(y,z))) = v5. [para(15367(a,1),18269(a,1,2))]. 18384 K(x,(K(y,z) * u) * w) = K(x,u * (w * K(y,z))). [hyper(18383,a,xx),flip(a)]. 18385 K(x,(y * (K(z,y) * u)) * w) = K(x,(y * u) * (w * K(z,y))). [para(5363(a,1),18384(a,1,2,1))]. 18386 K(x,y * (z * K(u,w))) * K(x,K(K(u,w) * y,z)) = K(x,z * (K(u,w) * y)). [para(18384(a,1),13242(a,1,1))]. 18387 K(x,(K(y,z) * u) * (w \ 1)) = K(x,u * (w \ K(y,z))). [para(14046(a,1),18384(a,2,2,2))]. 18388 K(x,(K(y,z) * u) / w) = K(x,u * (w \ K(y,z))). [hyper(14282,a,18387,a)]. 18389 K(x,(K(y,z) * u) / w) = K(x,u / (w * K(z,y))). [hyper(236,a,16792,a,b,18388,a)]. 18390 K(x,L(((y * z) / y) / u,w,v5)) = K(x,L(T(z,y) / u,w,v5)). [hyper(236,a,14400,a(flip),b,18338,a)]. 18391 K(x,L((y * K(z,y)) / u,w,v5)) = K(x,L(T(y,z) / u,w,v5)). [para(4854(a,1),18390(a,1,2,1,1))]. 18392 K(x,L(K(y,z) * (z / u),w,v5)) = K(x,L(T(z,y) / u,w,v5)). [para(17440(a,1),18391(a,1,2,1))]. 18393 K(x,T(y \ z,K(u,w) \ y)) = K(x,(K(u,w) \ z) / (K(u,w) \ y)). [para(5260(a,2),18364(a,2,2,2))]. 18394 K(x,(y * L(K(z,u),w,v5)) \ v6) = K(x,y \ (L(K(u,z),w,v5) * v6)). [hyper(236,a,16647,a(flip),b,18369,a(flip)),flip(a)]. 18395 L(x \ R(x,K(y,z),((z \ 1) \ u) * (z \ 1)),x,((z \ K(z,y)) \ u) * (z \ 1)) = a(x,K(y,z),((z \ 1) \ u) * (z \ 1)). [para(18370(a,1),15482(a,2,3)),flip(a)]. 18396 T(((x / y) * z) * y,K(y,y \ x)) = ((y \ x) * z) * T(y,y \ x). [hyper(16378,a,18373,a)]. 18397 x * L(x \ y,y,K(x \ z,L(u,x,w))) = y * a(y \ x,z,K((w * z) \ (w * x),u)). [para(11479(a,2),18375(a,2,2,3))]. 18398 (x * K(y,z \ (L(K(u,w),v5,v6) * v7))) \ x = K((z * L(K(w,u),v5,v6)) \ v7,y). [para(18394(a,1),7549(a,1,1,2))]. 18399 T(((x / y) * z) * y,K(y,x)) = ((y \ x) * z) * T(y,y \ x). [hyper(9319,a,18396,a)]. 18401 x \ (y * (a(z,u,K(w,v5)) * (y \ x))) = a(w,u,K(v5,L(z,y \ x,y))). [hyper(236,a,12125,a,b,17831,a)]. 18402 x * K(y,L(z,u \ 1,x * u)) = (x / (u \ 1)) * (u \ K(y,z)). [hyper(14167,a,17885,a),flip(a)]. 18403 K(x,L((y / (z \ 1)) / u,u,z \ K(w,v5))) = K(x,(y * K(w,L(v5,z \ 1,y * z))) / (u * (z \ K(w,v5)))). [para(18402(a,2),15353(a,2,2,1))]. 18404 K(x,y * (z \ K(u,L(w,v5 \ 1,y * v5)))) = K(x,((y / (v5 \ 1)) * (v5 \ K(u,w))) / z). [para(18402(a,1),17869(a,1,2,1)),flip(a)]. 18405 a(x,y,K(z,u)) * T(a(x,w,a(v5,y,K(z,u))),T(a(x,y,K(z,u)),v6)) = T(a(z,y,K(u,L(x,v5,w))),K(a(x,y,K(z,u)),v6)). [para(17962(a,1),6466(a,1,1)),flip(a)]. 18406 K(x,L(a(y,z,u) \ (w / v5),w,v5)) = K(x,w / (L(v5,z,K(y,u)) * a(y,z,u))). [hyper(18290,a,15435,a)]. 18407 K(x,y * (z * (u * K(w,L(w \ v5,v6,v7))))) = K(x,y * ((z * u) * K(v5,w))). [hyper(236,a,18189,a(flip),b,18314,a)]. 18408 K(x,y * (z * (u * K(w,L(v5,v6,v7))))) = K(x,y * (z * (u * K(w,v5)))). [hyper(236,a,18118,a(flip),b,18314,a)]. 18409 K(x \ y,L(T(z,u),y,x \ u)) = K(u / ((u / y) * x),z). [para(14(a,1),18360(a,2,1,2,1,2))]. 18410 K(((x / y) * z) / x,u) = K(x / ((x / z) * y),u). [hyper(236,a,11636,a(flip),b,18409,a(flip)),flip(a)]. 18411 x / (K(y / ((y / z) * u),w) * x) = K(w,((y / u) * z) / y). [para(18410(a,1),5266(a,1,2,1))]. 18412 K(x,((y / z) * u) / y) = K(x,y / ((y / u) * z)). [hyper(17977,a,18411,a),flip(a)]. 18413 K(x,L((y * z) / (y / u),y,z \ 1)) = K(x,((y / L(z \ 1,z,y)) * u) / y). [hyper(236,a,15467,a,b,18412,a),flip(a)]. 18414 K(x,L(y / (z / u),y,y \ z)) = K(x,((z / (y \ z)) * u) / z). [hyper(236,a,15465,a,b,18412,a),flip(a)]. 18415 K(x,L(y / (z / u),y,y \ z)) = K(x,(y * u) / z). [para(62(a,1),18414(a,2,2,1,1))]. 18416 a((x / y) \ z,z,K(u,z \ x)) \ K(u,(z * y) / x) = K(u,z / (x / y)). [hyper(72,a,18415,a(flip),b,17987,a)]. 18418 K(x,L(y / (z * u),y,y \ z)) = K(x,(y * L(u \ 1,u,z)) / z). [para(353(a,1),18415(a,1,2,1,2))]. 18419 K(x,L((y * K(z,y)) / (u / w),y * K(z,y),(y * K(z,y)) \ u)) = K(x,(y * (K(z,y) * w)) / u). [para(5574(a,1),18415(a,2,2,1))]. 18420 K(x,L(a(y,z,z \ 1) / (u / w),a(y,z,z \ 1),a(y,z,z \ 1) \ u)) = K(x,(w * a(y,z,z \ 1)) / u). [para(13894(a,1),18415(a,2,2,1))]. 18421 K(x,L(y,z,L(u / (w / v5),u,u \ w) \ 1)) = (v6 / y) \ (v6 / L(T(y,x),z,K(x,(u * v5) / w))). [para(18415(a,1),14879(a,1,2,2,3)),flip(a)]. 18422 K(x,L(a(y,z,K(u,w)) / (v5 / (v6 * u)),a(y,z,K(u,w)),a(y,z,K(u,w)) \ v5)) = K(x,(v6 * L(u,z,K(w,y))) / v5). [para(17796(a,1),18415(a,2,2,1))]. 18423 K(x,y / (z * u)) * a(x,y,K(y \ z,(z * u) \ y)) = K(x,(y * L(u \ 1,u,z)) / z). [hyper(18306,a,18418,a)]. 18424 x \ (y * (a(z,u,K(w,v5)) * (y \ x))) = a(w,u,K(v5,L(z,x,y))). [para(14565(a,1),18401(a,2,3))]. 18425 T(x,T(a(y,z,u) / w,v5)) = T(x,T(w \ a(y,z,u),v5)). [hyper(8641,a,17803,a),flip(a)]. 18427 K(x,(K(y,z) * ((K(u,T(w,v5)) \ v6) / K(y,z))) \ v7) = K(x,v6 \ (K(w,T(u,v5)) \ v7)). [para(7260(a,1),17898(a,1,2,1,2,1,1))]. 18428 K(x,(y / T(z,y)) * (K(z,z \ y) * u)) = K(x,(z \ T(y,z)) * u). [para(7649(a,1),18182(a,1,2,2,1))]. 18429 K(x,(y \ z) * (K(y,y \ z) * u)) = K(x,(y \ T(z,y)) * u). [hyper(13299,a,18428,a)]. 18431 K(x,(y \ T(z,y)) * u) = K(x,(z / y) * u). [para(5571(a,1),18429(a,1,2)),flip(a)]. 18432 K(x,(y \ z) * (K(u,y \ z) * w)) = K(x,T(T(z / y,z),u) * w). [hyper(236,a,13135,a(flip),b,18184,a(flip)),flip(a)]. 18433 K(x,T(T(y / z,y),u) * w) = K(x,T(z \ y,u) * w). [hyper(236,a,18178,a(flip),b,18432,a(flip))]. 18434 (x * y) \ ((x * a(z,u,K(w,v5))) * y) = R(a(z,u,K(w,v5)),x,y). [para(17659(a,1),17798(a,2,1))]. 18435 (x * y) \ ((x * a(z,u,K(w,v5))) * y) = a(z,u,K(w,L(v5,x,y))). [hyper(236,a,15424,a,b,18434,a)]. 18437 (x * y) * a(z,u,K(w,L(v5,x,y))) = (x * a(z,u,K(w,v5))) * y. [para(18435(a,1),14(a,1,2))]. 18438 a(T(x,y * z),u,K(w,L(z \ u,z,y))) = a(w,z,K((y * z) \ (y * u),x)). [hyper(14393,a,17985,a)]. 18439 K(x,L((y * z) \ u,z,y \ 1)) = K(x,L(z,y,y \ 1) \ ((y \ 1) * u)). [hyper(6727,a,18030,a(flip)),flip(a)]. 18440 T(x,K(y,L(z \ 1,u,w)) * v5) = v5 \ T(x * T(v5,K(z,y)),K(z,y)). [para(9290(a,1),18361(a,2,2))]. 18441 T(x,K(y,L(z \ 1,u,w)) * v5) = T(x,K(y,z) * v5). [hyper(236,a,15654,a(flip),b,18440,a)]. 18442 T(x,K(y,z \ 1) * u) = T(x,K(y,z) * u). [hyper(18092,a,18441,a)]. 18443 K(x,y * (z * (u * K(w,L(w \ v5,v6,v7))))) = K(x,y * (z * (u * K(v5,w)))). [hyper(236,a,18118,a(flip),b,18407,a)]. 18444 K(x,y * (z * (u * K(w,w \ v5)))) = K(x,y * (z * (u * K(v5,w)))). [hyper(236,a,18408,a(flip),b,18443,a(flip)),flip(a)]. 18445 K(x \ (y \ z),x * y) * K(x,K(y,x \ z)) = K((x * y) \ z,y * x). [para(9208(a,1),17910(a,1,2))]. 18446 K(x \ (y \ z),x * y) * K(x,K(y,z)) = K((x * y) \ z,y * x). [para(9203(a,1),18445(a,1,2))]. 18447 K(x \ (y \ z),x * y) * K(x,K(y,z)) = K(y \ (x \ z),y * x). [hyper(236,a,14560,a(flip),b,18446,a)]. 18448 K(x,y \ ((z * K(u,w)) \ (v5 * (K(w,u) \ z)))) = K(x,y \ T(v5,z / K(w,u))). [para(7547(a,1),17952(a,1,2,2,1))]. 18450 K(x,K(y \ (z * u),z \ y) * w) = K(x,T(z \ y,u) * ((z \ y) \ w)). [hyper(236,a,18433,a(flip),b,18198,a(flip))]. 18451 K(x,K(y \ (z * u),z \ y) * w) = K(x,K(z \ y,u) * w). [para(4857(a,1),18450(a,2,2))]. 18452 K(x,y * K(z \ (u * w),u \ z)) = K(x,K(u \ z,w) * y). [hyper(16181,a,18451,a)]. 18453 K(x,L(y,z,L((u / w) \ 1,v5,v6))) != v7 | K(x,L(y,z,L(u \ w,v5,v6))) = v7. [para(18307(a,1),14023(a,1))]. 18454 K(x,y * (z * (u * K(T(w,v5) \ v6,w)))) = K(x,y * ((z * u) * K(v6,w))). [hyper(236,a,13184,a(flip),b,18316,a)]. 18455 K(x,y * (z * (u * K(T(w,v5) \ v6,w)))) = K(x,y * (z * (u * K(v6,w)))). [hyper(236,a,18118,a(flip),b,18454,a)]. 18456 K(x,y * (z * (u * K(w \ v5,w)))) = K(x,y * (z * (u * K(v5,w)))). [para(118(a,1),18455(a,1,2,2,2,2,1,1))]. 18457 K(x,y * (z * K(u,w))) * K(x,K(y,z)) = K(x,z * (K(u,w) * y)). [para(17062(a,1),18386(a,1,2))]. 18458 K(x,y * (z * K(u,w))) * K(x,K(y,z)) = K(x,K(u,w) * (z * y)). [hyper(236,a,18156,a,b,18457,a)]. 18460 K(x,K(y,z)) * K(x,y * (z * K(u,w))) = K(x,K(u,w) * (z * y)). [hyper(16168,a,18458,a)]. 18461 K(x,y * (z * K(u,w))) * K(x,K(y,z)) != v5 | K(x,z * (K(u,w) * y)) = v5. [para(18458(a,2),18159(a,1))]. 18462 K(x,K(y,z * u)) * K(x,y * (z * (u * K(w,v5)))) = K(x,K(w,v5) * ((z * u) * y)). [para(18118(a,1),18460(a,1,2))]. 18463 K((x * L(K(y,z),u,w)) \ v5,v6) = K(x \ (L(K(z,y),u,w) * v5),v6). [hyper(16240,a,18398,a),flip(a)]. 18465 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(236,a,16828,a,b,18463,a(flip)),flip(a)]. 18466 K(x,(y * a(z,u,w)) \ T(v5,y)) = K(x,v5 / (L(y,u,K(z,w)) * a(z,u,w))). [hyper(236,a,15805,a(flip),b,18406,a(flip)),flip(a)]. 18467 K(x,(y * a(z,u,w)) \ T(v5,y)) = K(x,v5 / (a(z,u,w) * y)). [para(14744(a,1),18466(a,2,2,2))]. 18468 K(x,y \ (z \ T(u * z,K(w,v5)))) = K(x,y \ T(u,z / K(v5,w))). [para(17273(a,1),18448(a,1,2,2))]. 18469 (x * (a(y,z,K(u,w)) * v5)) * 1 = x * (a(u,z,K(w,y)) * v5). [para(17644(a,1),17832(a,1,2))]. 18470 x * (a(y,z,K(u,w)) * v5) = x * (a(w,z,K(y,u)) * v5). [hyper(84,a,18469,a),flip(a)]. 18472 (x * (a(y,z,K(u,w)) * v5)) \ ((x * a(u,z,K(w,y))) * v5) = a(x,a(u,z,K(w,y)),v5). [para(18470(a,1),24(a,2,1)),flip(a)]. 18473 a(x,y,K(z,u)) \ (w * K(v5,z)) = (w / T(L(z,y,K(u,x)),v5)) * z. [para(17691(a,1),17881(a,1,2,2))]. 18474 (x / T(L(y,z,K(u,w)),v5)) * y = a(y,z,K(w,u)) * (x * K(v5,y)). [hyper(14603,a,18473,a),flip(a)]. 18476 (x / L(T(y,z),u,K(w,v5))) * y = a(y,u,K(v5,w)) * (x * K(z,y)). [para(40(a,2),18474(a,1,1,2))]. 18477 a(x,y,K(z,u)) * (w * K(u,x)) = w * K(L(u,y,z \ 1),x). [hyper(236,a,14738,a(flip),b,18476,a(flip))]. 18478 a(x,y,K(z,u)) * (w * K(u,x)) = w * K(u,L(x,y,z \ 1)). [para(11533(a,1),18477(a,2,2))]. 18480 x * (K((y * z) \ x,z * y) * K(y,K(z,z \ (y \ x)))) = ((y * z) \ x) * (y * z). [para(7919(a,1),17909(a,1,2,2))]. 18481 K(x,(K(y,z) * (u / y)) * w) = K(x,(u / T(y,z)) * w). [hyper(236,a,13242,a(flip),b,18229,a(flip))]. 18482 K(x,(y / z) * (u * K(z,w))) = K(x,(y / T(z,w)) * u). [hyper(18383,a,18481,a)]. 18483 K(x,(y / T(z,u)) * (w \ 1)) = K(x,(y / z) * (w \ K(z,u))). [hyper(236,a,18387,a(flip),b,18481,a(flip))]. 18484 K(x,(y / T(z,u)) * K(w,K(v5,v6))) = K(x,(y / z) * K(z,u)). [hyper(16751,a,18482,a),flip(a)]. 18485 K(x,(y / T(z,u)) * a(w,v5,K(v6,v7))) = K(x,(y / z) * K(z,u)). [hyper(236,a,18122,a(flip),b,18482,a(flip))]. 18486 K(x,(y / T(z,u)) * ((z \ w) \ 1)) = K(x,(y / z) / (T(z,u) \ w)). [hyper(14545,a,18483,a(flip)),flip(a)]. 18487 K(x,(y / z) * K(z,u)) != w | K(x,(y / T(z,u)) * K(v5,K(v6,v7))) = w. [para(18484(a,1),16416(a,1))]. 18488 K(x,(y / T(z,u)) / (z \ w)) = K(x,(y / z) / (T(z,u) \ w)). [hyper(14282,a,18486,a)]. 18489 K(x,(K(y,T(z,u)) * ((K(w,T(v5,v6)) \ v7) * K(z,T(y,u)))) \ v8) = K(x,v7 \ (K(v5,T(w,v6)) \ v8)). [para(7558(a,1),18427(a,1,2,1,2))]. 18490 K(x,K(y,z * u)) * K(x,y * (T(z,w) * u)) = K(x,K(z,w) * ((z * u) * y)). [para(16644(a,1),18462(a,1,2))]. 18491 K(x,K(y,z) * ((y * u) * w)) = K(x,(T(y,z) * u) * w). [hyper(236,a,17079,a(flip),b,18490,a(flip))]. 18492 K(x,(y * z) * (u * K(w,y))) = K(x,(T(y,w) * z) * u). [hyper(18180,a,18491,a)]. 18493 K(x,K(y / z,z) * (((y / z) * u) * w)) = K(x,((z \ y) * u) * w). [para(121(a,1),18491(a,2,2,1,1))]. 18494 K(x,K(y \ z,z) * (((z / y) * u) * w)) = K(x,(T(z / y,z) * u) * w). [para(6289(a,1),18491(a,1,2,1))]. 18495 K(x,K(y,T(z,u)) * ((((u * y) / u) * w) * v5)) = K(x,(T((u * y) / u,z) * w) * v5). [para(8067(a,1),18491(a,1,2,1))]. 18496 K(x,(y * (K(z,y) * u)) * w) = K(x,(T(y,z) * u) * w). [hyper(236,a,18385,a,b,18492,a(flip)),flip(a)]. 18497 K(x,(T(y,z) * z) * u) = K(x,(z * y) * u). [para(4971(a,1),18496(a,1,2,1)),flip(a)]. 18498 K(x,(((y * z) / y) * u) * w) = K(x,(T(z,y) * u) * w). [para(5525(a,2),18496(a,1,2,1))]. 18499 K(x,(T(y \ z,y) * u) * w) = K(x,((z / y) * u) * w). [para(5571(a,1),18496(a,1,2,1)),flip(a)]. 18500 K(x,(T(y,z) * z) * (u \ 1)) = K(x,(z * y) / u). [hyper(236,a,14060,a(flip),b,18497,a)]. 18501 K(x,(T(T(y,z),u) * z) * w) = K(x,(z * T(y,u)) * w). [para(38(a,1),18497(a,1,2,1,1))]. 18502 K(x,((y \ z) * y) * u) = K(x,(y * (z / y)) * u). [para(121(a,1),18497(a,1,2,1,1))]. 18503 K(x,(T(y,z) * z) / u) = K(x,(z * y) / u). [hyper(14282,a,18500,a)]. 18504 K(x,((y \ z) * y) / u) = K(x,(y * (z / y)) / u). [para(121(a,1),18503(a,1,2,1,1))]. 18505 K(x,(y * (z / y)) * u) = K(x,T(z,y) * u). [hyper(16570,a,18502,a),flip(a)]. 18507 K(x,T(y,z * y) * u) = K(x,(((z \ 1) \ y) * (z \ 1)) * u). [para(3809(a,2),18505(a,1,2,1)),flip(a)]. 18508 K(x,(((y \ 1) \ z) * (y \ 1)) / u) = K(x,(z * K(y \ 1,y * z)) / u). [para(7103(a,1),18504(a,2,2,1))]. 18509 K(x,(y * (z / y)) / u) != w | K(x,T(z,y) / u) = w. [para(18504(a,1),16872(a,1))]. 18510 K(x,(T((y * z) / y,u) * w) * v5) = K(x,(T(T(z,u),y) * w) * v5). [para(412(a,1),18498(a,1,2,1,1))]. 18511 K(x,((T(y,z \ y) / z) * u) * w) = K(x,(T(y / z,y) * u) * w). [para(3895(a,2),18498(a,1,2,1,1))]. 18512 K(x,K(y,(z \ u) * w)) * K(x,y * ((u / z) * w)) = K(x,(T(z \ u,z) * w) * y). [hyper(236,a,17097,a,b,18499,a),flip(a)]. 18513 K(x,T(y,z \ 1) * u) = K(x,T(y,z * y) * u). [hyper(236,a,16569,a(flip),b,18507,a),flip(a)]. 18514 K(x,T(y,z \ 1) * u) = K(x,T(y,y * z) * u). [para(4255(a,1),18513(a,2,2,1))]. 18515 K(x,T(y,z \ 1) * u) = K(x,T(y,z) * u). [hyper(236,a,13055,a(flip),b,18514,a)]. 18516 K(x,T((y \ 1) * z,y) * u) = K(x,(z * (y \ 1)) * u). [hyper(236,a,16571,a(flip),b,18515,a(flip))]. 18517 K(x,(L(y,z \ 1,z) / z) * u) = K(x,(y * (z \ 1)) * u). [hyper(236,a,18186,a,b,18516,a(flip)),flip(a)]. 18518 K(x,K(y \ z,y) * (((z / y) * u) * w)) = K(x,((y \ z) * u) * w). [para(4997(a,1),18493(a,1,2,1))]. 18519 K(x,K(y,z) * (((y / z) * u) * w)) = K(x,((z \ y) * u) * w). [hyper(13176,a,18518,a)]. 18520 K(x,K(y,z) * (((y / z) * u) * w)) = K(x,(T(y / z,y) * u) * w). [hyper(15841,a,18494,a)]. 18521 K(x,(T(y / z,y) * u) * w) = K(x,((z \ y) * u) * w). [hyper(236,a,18519,a(flip),b,18520,a(flip))]. 18522 K(x,((T(y,z \ y) / z) * u) * w) = K(x,((z \ y) * u) * w). [hyper(236,a,18511,a,b,18521,a(flip)),flip(a)]. 18523 K(x,(((y \ z) \ z) * u) * w) = K(x,(T(y,z) * u) * w). [para(62(a,1),18521(a,1,2,1,1,1)),flip(a)]. 18524 K(x,(y * K(z \ 1,z * y)) / u) = K(x,T(y,z \ 1) / u). [hyper(16872,a,18508,a),flip(a)]. 18525 K(x,y * (z \ K(u \ 1,u * y))) = K(x,T(y,u \ 1) / z). [hyper(236,a,17869,a(flip),b,18524,a(flip)),flip(a)]. 18526 K(x,y * (z \ K(u,u * y))) = K(x,T(y,u \ 1) / z). [hyper(18350,a,18525,a)]. 18527 K(x,y * (z \ K(u,y * u))) = K(x,T(y,u \ 1) / z). [para(6605(a,2),18526(a,1,2,2,2))]. 18528 x * (K((y * z) \ x,z * y) * K(y,K(z,y \ x))) = ((y * z) \ x) * (y * z). [para(9208(a,1),18480(a,1,2,2))]. 18529 x * (K((y * z) \ x,z * y) * K(y,K(x,z))) = ((y * z) \ x) * (y * z). [para(9206(a,1),18528(a,1,2,2))]. 18530 T(x,K(y,z)) * K((y * z) \ x,z * y) = ((y * z) \ x) * (y * z). [hyper(16121,a,18529,a)]. 18531 T(x * K((y * z) \ x,z * y),K(y,z)) = ((y * z) \ x) * (y * z). [hyper(236,a,17119,a,b,18530,a(flip)),flip(a)]. 18532 T(x * K(y \ (z \ x),y * z),K(z,y)) = ((z * y) \ x) * (z * y). [para(14560(a,1),18531(a,1,1,2))]. 18533 T(((x * y) \ z) * (x * y),K(y,x)) = ((y * x) \ z) * (y * x). [para(14561(a,1),18532(a,1,1))]. 18534 ((x * K(y,z)) \ u) * (x * K(y,z)) != w | ((K(y,z) * x) \ u) * (K(y,z) * x) = w. [para(18533(a,1),16128(a,1)),flip(b)]. 18535 K(x,((((y * z) / y) * u) * w) * K(z,v5)) = K(x,(T((y * z) / y,v5) * u) * w). [hyper(16703,a,18495,a)]. 18536 K(x,(((y * z) / y) * u) * (w * K(z,v5))) = K(x,(T((y * z) / y,v5) * u) * w). [hyper(18095,a,18535,a)]. 18538 K(x,(T((y * z) / y,u) * w) * v5) = K(x,(T(z,y) * w) * (v5 * K(z,u))). [hyper(236,a,18498,a(flip),b,18536,a(flip))]. 18539 K(x,(T(y,z) * u) * (w * K(y,v5))) = K(x,(T(T(y,v5),z) * u) * w). [hyper(236,a,18510,a(flip),b,18538,a(flip))]. 18540 K(x,y * (T(z \ u,z) * w)) = K(x,y * ((u / z) * w)). [hyper(17,a,17079,a,b,18512,a),flip(a)]. 18541 K(x,y * (((z * u) / z) * w)) = K(x,y * (T(u,z) * w)). [para(13(a,1),18540(a,1,2,2,1,1)),flip(a)]. 18542 K(x,y * (T(z,u) * u)) = K(x,y * (u * z)). [para(16(a,1),18541(a,1,2,2)),flip(a)]. 18543 K(x,y * (z * (K(u,z) * w))) = K(x,y * (T(z,u) * w)). [para(5525(a,1),18541(a,1,2,2))]. 18544 K(x,y * (z * (K(u,z) * (w / z)))) = K(x,y * ((T(z,u) \ w) * z)). [para(7176(a,1),18542(a,1,2,2,1)),flip(a)]. 18545 K(x,y * ((T(z,T(u,w)) \ w) * z)) = K(x,y * (z * (w / T(z,u)))). [para(8602(a,1),18542(a,1,2,2,1))]. 18546 K(x,y * ((z \ u) * (z * K(w,z)))) = K(x,y * (z * (u / T(z,w)))). [para(7797(a,1),18542(a,1,2,2))]. 18547 K(x,y * (T(z * u,K(w,L(v5,z,u))) * K(w,L(v5,z,u)))) = K(x,y * ((K(w,v5) * z) * u)). [para(15367(a,1),18542(a,2,2,2))]. 18548 K(x,y * (T(z * K(u,K(w,z * v5)),v5) * v5)) = K(x,y * T(v5 * z,K(u,w))). [para(16074(a,1),18542(a,2,2,2))]. 18549 T(T(x,K(y,z * (u * w))),(z \ (T(w,u) * u)) * y) != v5 | T(x,y * (z \ (T(w,u) * u))) = v5. [para(18542(a,1),16585(a,1,1,2))]. 18550 K(x,y * (T(z,T(u,w)) * (w / z))) = K(x,y * ((z \ w) * T(z,u))). [para(18310(a,1),18542(a,1,2,2))]. 18551 K(x,y * ((T(z,u) \ w) * z)) = K(x,y * (T(z,u) * (w / z))). [hyper(236,a,18543,a(flip),b,18544,a(flip))]. 18552 K(x,y * (K(z,u) * T(w,u))) = K(x,y * (u * (w / T(u,z)))). [hyper(236,a,18315,a(flip),b,18546,a(flip)),flip(a)]. 18553 K(x,y * T(K(z,u) * w,u)) = K(x,y * (u * (w / T(u,z)))). [para(7151(a,2),18552(a,1,2,2))]. 18554 K(x,y * ((T(z,T(u,w)) \ w) * z)) = K(x,y * T(K(u,z) * w,z)). [hyper(236,a,18545,a,b,18553,a),flip(a)]. 18555 K(x,y * (T(z,T(u,w)) * (w / z))) = K(x,y * T(K(u,z) * w,z)). [hyper(236,a,18551,a(flip),b,18554,a(flip)),flip(a)]. 18556 K(x,y * T(K(z,u) * w,u)) = K(x,y * ((u \ w) * T(u,z))). [hyper(236,a,18550,a(flip),b,18555,a(flip))]. 18557 K(x,y * ((z \ T(u * z,K(w,v5))) * z)) = K(x,y * T(z * u,K(w,v5))). [para(16075(a,1),18548(a,1,2,2,1))]. 18558 K(x,y * T(T(z * u,K(w,v5)),u)) = K(x,y * T(u * z,K(w,v5))). [hyper(16457,a,18557,a)]. 18559 K(x,y * T(z * u,K(w,v5))) = K(x,y * T(u * z,z)). [hyper(16726,a,18558,a),flip(a)]. 18560 K(x,y * T(z * u,u)) = K(x,y * (u * z)). [hyper(16670,a,18559,a),flip(a)]. 18562 K(x,y * (L(z,u \ 1,u) / u)) = K(x,y * (z * (u \ 1))). [hyper(236,a,18132,a(flip),b,18560,a(flip)),flip(a)]. 18563 K(x,y * (z * (u / z))) = K(x,y * T(u,z)). [para(16(a,1),18560(a,1,2,2,1)),flip(a)]. 18565 K(x,y * ((z \ 1) * (z * u))) = K(x,y * ((u * z) * (z \ 1))). [para(1635(a,1),18562(a,1,2,2))]. 18566 K(x,y * ((z \ 1) * (z * u))) = K(x,y * R(u,z,z \ 1)). [para(189(a,1),18565(a,2,2,2))]. 18567 K(x,y * R(z,u,u \ 1)) = K(x,y * L(z,u,u \ 1)). [hyper(236,a,5932,a(flip),b,18566,a(flip))]. 18568 K(x,(y \ 1) * L(z,u,u \ 1)) = K(x,y \ R(z,u,u \ 1)). [hyper(14303,a,18567,a),flip(a)]. 18569 K(x,K(R(y,z,z \ 1),u)) \ K(x,u * L(y,z,z \ 1)) = K(x,R(y,z,z \ 1) * u). [hyper(72,a,18567,a(flip),b,13238,a)]. 18570 K(x,R(y,z,z \ 1) * (y \ u)) = K(x,(u / y) * L(y,z,z \ 1)). [para(15425(a,2),18567(a,1,2))]. 18571 K(x,y \ R(z,u,u \ 1)) != w | K(x,y \ L(z,u,u \ 1)) = w. [para(18568(a,1),14303(a,1))]. 18572 K(x,y) \ (K(x,L(z,u,w)) * (T(x,z) \ K(x,y))) = L(x,u,K(z,w)) \ 1. [para(17692(a,1),17738(a,1,2,2,2))]. 18574 K(x,y) \ (L(x,z,K(u,w)) \ K(x,y)) = L(x,z,K(u,w)) \ 1. [para(14840(a,1),18572(a,1,2))]. 18576 x \ ((K(y,K(z,u * x)) * w) / ((x * (T(u,x) * K(y,z))) \ w)) = T(K(y,z) * u,x). [para(11506(a,1),17772(a,1,2,2,1))]. 18578 x \ (K(y,K(z,u * x)) * (w / ((x * (T(u,x) * K(y,z))) \ w))) = T(K(y,z) * u,x). [para(17669(a,1),18576(a,1,2))]. 18579 x \ (K(y,K(z,u * x)) * (x * (T(u,x) * K(y,z)))) = T(K(y,z) * u,x). [para(62(a,1),18578(a,1,2,2))]. 18580 x \ (x * (T(y,x) * K(z,T(u,y * x)))) = T(K(z,u) * y,x). [para(17924(a,1),18579(a,1,2))]. 18581 T(x,y) * K(z,T(u,x * y)) = T(K(z,u) * x,y). [hyper(306,a,18580,a)]. 18586 T(K(x,T(y,z * u)) * z,u) = T(z,u) * K(x,y). [para(8051(a,1),18581(a,1,2)),flip(a)]. 18587 T(x,y) * K(z,T(u,y * x)) = T(K(z,u) * x,y). [para(15991(a,1),18581(a,1,2))]. 18588 (K(x,K(y,T(z,x * u))) * u) * (T(x,u) * K(y,z)) = (x * K(y,T(z,x * u))) * u. [para(18586(a,1),11042(a,1,2))]. 18589 (K(x,y) * (T(z,u) / K(x,y))) / K(x,T(y,u * (z / K(x,y)))) = T(z / K(x,y),u). [hyper(74,a,4615,a(flip),b,18587,a)]. 18603 (K(x,K(y,z)) * u) * (T(x,u) * K(y,z)) = (x * K(y,T(z,x * u))) * u. [para(16034(a,1),18588(a,1,1,1))]. 18605 T(T(x,y),K(z,u)) / K(z,T(u,y * (x / K(z,u)))) = T(x / K(z,u),y). [para(8193(a,1),18589(a,1,1))]. 18606 T(T(x,y),K(z,u)) / K(z,T(u,y * (x * K(u,z)))) = T(x / K(z,u),y). [para(7547(a,1),18605(a,1,2,2,2,2))]. 18607 T(T(x,y),K(z,u)) / K(z,T(u,y * x)) = T(x / K(z,u),y). [para(7598(a,1),18606(a,1,2,2))]. 18608 T(T(x,y),K(z,u)) * K(u,T(z,y * x)) = T(x / K(z,u),y). [hyper(7671,a,18607,a)]. 18611 K(x,T(y,z * u)) * T(u,z) = T(u / K(y,x),z). [hyper(16087,a,18608,a)]. 18612 K(x,T(y,z * u)) * T(u,z) = T(u * K(x,y),z). [para(7547(a,1),18611(a,2,1))]. 18613 T(x * K(y,T(z,u * x)),u) = K(y,z) * T(x,u). [para(8051(a,1),18612(a,1,1)),flip(a)]. 18614 T(x,T(y * K(z,u),w)) = T(x,K(z,u) * T(y,w)). [para(18612(a,1),16614(a,1,2))]. 18615 K(x,T(y * K(z,u),w)) = K(x,T(y,w) * K(z,u)). [para(18612(a,1),16701(a,1,2))]. 18616 K(x,y * T(z * K(u,w),v5)) = K(x,y * (K(u,w) * T(z,v5))). [para(18612(a,1),16707(a,1,2,2))]. 18617 L(x \ R(x,K(y,z),T(u,w)),x,T(u * K(y,T(z,w * u)),w)) = a(x,K(y,z),T(u,w)). [para(18613(a,2),15482(a,2,3)),flip(a)]. 18618 T(x,T(y * K(z,u),w)) = T(x,T(y,w) * K(z,u)). [hyper(236,a,16123,a(flip),b,18614,a)]. 18620 K(x,K(y,z) \ T(u,w)) = K(x,T(u * K(z,y),w)). [hyper(16241,a,18615,a(flip))]. 18622 T(x,T(y,z * u) * K(z,u)) = T(x,(z * u) * (y / (u * z))). [hyper(13118,a,18618,a),flip(a)]. 18623 K(x,K(y,z) \ T(u / y,w)) = K(x,T(u / T(y,z),w)). [para(7555(a,1),18620(a,2,2,1))]. 18624 K(x,T(y / T(z,K(u,w)),v5)) = K(x,T(y / z,v5)). [hyper(16673,a,18623,a),flip(a)]. 18625 K(x,T(y / (T(z,u) * T(w,z)),v5)) = K(x,T(y / (w * T(z,u)),v5)). [para(8463(a,1),18624(a,1,2,1,2))]. 18626 K(x,y * T(z * K(u,w),v5)) = K(x,y * (T(z,v5) * K(u,w))). [hyper(236,a,16630,a(flip),b,18616,a)]. 18627 T(x,((y * z) \ u) * (z * y)) = T(x,(y * z) * (u / (z * y))). [hyper(16833,a,18622,a)]. 18628 T(x,((y * z) \ u) * (z * y)) = T(x,K(y,z) * T(u,z * y)). [hyper(236,a,16591,a,b,18627,a)]. 18629 K(x * ((K(y,z) * u) / T(w,K(z,y) * T(u,y * z))),v5) = K(x * (w \ ((y * z) * ((z * y) \ u))),v5). [para(18628(a,1),16880(a,1,1,2,2))]. 18630 K(x,T(y / (K(T(z,u),T(z,u) \ w) \ w),v5)) = K(x,T(y / (T(z,u) * T(T(z,u) \ w,z)),v5)). [para(4818(a,2),18625(a,2,2,1,2)),flip(a)]. 18631 ((x * (y * K(z,K(u,w)))) \ (x * (y * v5))) * K(z,K(u,w)) = L(v5,K(z,K(u,w)) * y,x). [hyper(236,a,17925,a(flip),b,17857,a(flip)),flip(a)]. 18633 T(x,K(y * z,y) * ((z / (y * z)) * u)) = T(x,T(R(1 / y,y,z),y * z) * u). [hyper(236,a,18442,a(flip),b,18282,a(flip)),flip(a)]. 18634 T(x,K(y * z,z) * ((y / (z * y)) * u)) = T(x,T(R(1 / z,z,y),z * y) * u). [hyper(16748,a,18633,a)]. 18635 T(x,K(y * z,z) * ((y / (z * y)) * u)) = T(x,((z * y) \ (1 * y)) * u). [para(487(a,1),18634(a,2,2,1))]. 18636 T(x,K(y * z,z) * ((y / (z * y)) * u)) = T(x,((z * y) \ y) * u). [para(11(a,1),18635(a,2,2,1,2))]. 18637 T(x,K(y,z) * ((z / (y * z)) * u)) = T(x,((y * z) \ z) * u). [hyper(15803,a,18636,a)]. 18638 T(x,(y / (y * z)) * u) = T(x,((z * y) \ y) * u). [hyper(236,a,18283,a(flip),b,18637,a(flip)),flip(a)]. 18639 K(x,K(y,z)) \ K(x,z * L(y,u,u \ 1)) = K(x,R(y,u,u \ 1) * z). [para(14065(a,1),18569(a,1,1,2))]. 18640 K(x,K(y,z)) * K(x,z * L(y,u,u \ 1)) = K(x,R(y,u,u \ 1) * z). [hyper(7969,a,18639,a)]. 18642 K(x,R(y,z,z \ 1) * u) = K(x,L(y,z,z \ 1) * u). [hyper(236,a,17762,a(flip),b,18640,a(flip))]. 18643 K(x,L(y,z,z \ 1) * (u \ 1)) = K(x,R(y,z,z \ 1) / u). [hyper(14282,a,18642,a),flip(a)]. 18644 K(x,L(y,z,z \ 1) * (y \ u)) = K(x,(u / y) * L(y,z,z \ 1)). [hyper(236,a,18570,a(flip),b,18642,a(flip))]. 18645 K(x,R(y,z,z \ 1) / u) != w | K(x,L(y,z,z \ 1) / u) = w. [para(18643(a,1),14282(a,1))]. 18646 K(x,(y / z) * L(z,u,u \ 1)) = K(x,a(u \ 1,u,z) \ y). [hyper(236,a,15061,a(flip),b,18644,a(flip))]. 18647 (((x * y) \ (x * (y * z))) * K(u,K(w,v5))) * K(u,K(w,v5)) = L(z,K(u,K(w,v5)) * y,x). [para(17944(a,1),18631(a,1,1))]. 18648 (L(x,y,z) * K(u,K(w,v5))) * K(u,K(w,v5)) = L(x,K(u,K(w,v5)) * y,z). [para(28(a,2),18647(a,1,1,1))]. 18649 L(x,K(y,K(z,u)) * w,v5) = L(x,w,v5). [hyper(7974,a,18648,a)]. 18651 L(x,K(y,z) * u,w) = L(x,u * K(y,z),w). [para(4817(a,1),18649(a,1,2)),flip(a)]. 18652 L(x,K(y,T(z,u)),w) = L(x,K(y,z),w). [para(7265(a,1),18649(a,1,2))]. 18653 L(x,y * K(z,K(u,w)),v5) = L(x,y,v5). [para(7337(a,1),18649(a,1,2))]. 18654 R(x,K(y,z),u) = L(x,K(y,z),u). [hyper(236,a,17237,a(flip),b,18652,a(flip)),flip(a)]. 18655 ((K(x,y) * z) * u) / (K(x,y) * u) = L(T(z,K(x,y)),K(x,y),u). [hyper(8209,a,18654,a)]. 18656 L((x / y) * K(z,u),K(u,z),y) = x / (K(u,z) * y). [hyper(7581,a,18654,a),flip(a)]. 18658 L(x,K(y,z),u) * (u * K(y,z)) = (x * K(y,z)) * T(u,K(y,z)). [para(18654(a,1),10681(a,1,1))]. 18659 L(x / y,K(x,z),y) / K(x,z) = x / (K(x,z) * y). [para(18654(a,1),14966(a,1,1))]. 18660 L(x \ L(x,K(y,z),T(u,w)),x,T(u * K(y,T(z,w * u)),w)) = a(x,K(y,z),T(u,w)). [para(18654(a,1),18617(a,1,1,2))]. 18661 (x * (y * K(z,K(u,w)))) \ (x * (y * v5)) = L(v5 * K(z,K(u,w)),y,x). [hyper(236,a,17940,a(flip),b,18653,a(flip)),flip(a)]. 18662 L((x / K(y \ K(z,u),y)) * K(u,z),K(z,u),K(y \ K(z,u),y)) = x / ((y \ K(z,u)) * y). [para(249(a,1),18656(a,2,2))]. 18663 (x * K(y,z)) * (u / (K(y,z) * x)) = x * (K(y,z) * ((u / x) * K(z,y))). [para(18656(a,1),103(a,1,2))]. 18664 L((x / y) * K(z,K(u,w)),K(w,K(z,u)),y) = x / (K(w,K(z,u)) * y). [para(7886(a,1),18656(a,1,1,2))]. 18665 x * (T(K(y,z),x) * ((u / x) * K(z,y))) = (K(y,z) * x) * (u / (K(y,z) * x)). [para(18656(a,1),11115(a,1,2)),flip(a)]. 18666 (x / y) / K(x,z) = x / (K(x,z) * y). [para(16577(a,1),18659(a,1,1))]. 18667 x / (K(x,y) * z) = (x / z) * K(y,x). [hyper(7561,a,18666,a),flip(a)]. 18669 (K(x,L(y,(K(z,u) * w) * v5,K(z,u) * v5)) * ((K(z,u) * w) * v5)) / (K(z,u) * v5) = K(x,y) * L(T(w,K(z,u)),K(z,u),v5). [para(18655(a,1),15478(a,2,2))]. 18670 ((K(x,y) * (K(z,u) * w)) * v5) / (K(z,u) * v5) = L(T(K(x,y) * w,K(z,u)),K(z,u),v5). [para(17966(a,1),18655(a,1,1,1))]. 18671 ((K(x,y) * (z \ u)) * K(y,x)) * T(z,K(y,x)) = ((z * K(y,x)) \ u) * (z * K(y,x)). [para(5277(a,1),18658(a,1,1)),flip(a)]. 18672 (x * (y * K(z,u))) \ ((x * K(z,u)) * T(y,K(z,u))) = ((y * K(z,u)) * x) \ (y * (K(z,u) * x)). [para(18658(a,1),14599(a,1,2))]. 18673 K(x,K(y,z)) * ((u * w) \ (u * (w * v5))) = L(v5 * K(x,K(y,z)),w,u). [hyper(18305,a,18661,a)]. 18675 x / (K(y,K(z,u)) * w) = (x / w) * K(z,K(u,y)). [hyper(236,a,17936,a(flip),b,18664,a(flip))]. 18677 x / (K(y,K(z,u)) * w) = (x / w) * K(y,K(z,u)). [para(7923(a,1),18675(a,2,2))]. 18678 x / (K(y,K(z,u)) * w) = K(y,K(z,u)) * (x / w). [hyper(236,a,16057,a,b,18677,a)]. 18679 (x / (y * z)) * K(z,K(u,w)) = x / (y * T(z,K(u,w))). [para(16093(a,1),18677(a,1,2)),flip(a)]. 18680 (x / T(y,z)) * K(y,K(u,w)) = x / T(T(y,K(u,w)),z). [para(16133(a,1),18677(a,1,2)),flip(a)]. 18681 K(x,K(y,z)) * (u / (K(x,y) * w)) = u / (K(x,T(y,z)) * w). [para(8576(a,1),18678(a,1,2)),flip(a)]. 18682 K(x / (y * T(z,K(u,w))),v5) = K(x / (y * z),v5). [para(18679(a,1),16652(a,1,1))]. 18683 K(x,y * (z / (u * T(w,K(v5,v6))))) = K(x,y * (z / (u * w))). [para(18679(a,1),16638(a,1,2,2))]. 18684 K(x / (y * (K(z,u) * w)),v5) = K(x / (y * (w * K(z,u))),v5). [para(7222(a,1),18682(a,1,1,2,2)),flip(a)]. 18685 K(x,y * ((z * T(u,K(w,v5))) \ v6)) = K(x,y * (T(v6,z * u) / (z * u))). [hyper(236,a,16621,a(flip),b,18683,a(flip)),flip(a)]. 18686 L(x * K(y,K(z,u)),w,v5) = K(y,K(z,u)) * L(x,w,v5). [para(28(a,2),18673(a,1,2)),flip(a)]. 18687 L(x * K(y,K(z,u)),w,v5) = L(x,w,v5) * K(y,K(z,u)). [hyper(236,a,16057,a(flip),b,18686,a)]. 18688 L(K(x,y) * K(z,K(u,w)),v5,v6) = K(z,K(u,w)) * K(x,L(y,v5,v6)). [para(11470(a,1),18686(a,2,2))]. 18689 K(x,L(y * K(z,K(u,w)),v5,v6)) = K(x,L(y,v5,v6)). [para(18686(a,2),16623(a,1,2))]. 18690 K(x,L(y \ K(z,T(u,w)),v5,v6)) = K(x,L(y \ K(z,u),v5,v6)). [para(17917(a,1),18689(a,1,2,1))]. 18691 L(K(x,y) * K(z,K(u,w)),v5,v6) = K(x,L(y,v5,v6)) * K(z,K(u,w)). [para(11470(a,1),18687(a,2,1))]. 18692 T(L((x * K(y,x)) * K(y,K(z,u)),w,v5),y * K(u,z)) = y \ T(y * L(x,w,v5),K(z,u)). [para(18687(a,2),16500(a,1,1))]. 18693 K(x,T((y * K(z,T(u,w))) / v5,y \ v5)) = K(x,L((v5 / y) \ K(z,T(u,y)),v5 / y,y)). [hyper(236,a,16522,a(flip),b,18690,a(flip)),flip(a)]. 18694 (x * K(y,z)) * (u / (K(y,z) * x)) = x * T(u / x,K(y,z)). [para(7984(a,1),18663(a,2,2))]. 18695 (K(x,y) * z) * (u / (z * K(x,y))) = z * T(u / z,K(x,y)). [hyper(236,a,16892,a,b,18694,a(flip)),flip(a)]. 18697 K(x,y * ((z * T(u,K(w,v5))) \ v6)) = K(x,y * ((z * u) \ v6)). [hyper(236,a,13159,a(flip),b,18685,a)]. 18698 x * (K(y,T(z,x)) * ((u / x) * K(z,y))) = (K(y,z) * x) * (u / (K(y,z) * x)). [para(7256(a,2),18665(a,1,2,1))]. 18699 x * T(K(y,K(z,x)) * (u / x),K(y,z)) = (K(y,z) * x) * (u / (K(y,z) * x)). [para(18294(a,2),18698(a,1,2))]. 18700 (K(x,y) * z) * (u / (K(x,y) * z)) = z * T(u / T(z,K(x,y)),K(x,y)). [para(16120(a,1),18699(a,1,2,1)),flip(a)]. 18701 x * T(K(y,z) / T(x,K(y,z)),K(y,z)) = K(y,z) * K(K(y,z) * x,x \ 1). [hyper(236,a,6020,a(flip),b,18700,a(flip))]. 18702 x * T(T(K(y,z) / x,K(y,z)),K(y,z)) = K(y,z) * K(K(y,z) * x,x \ 1). [para(9692(a,1),18701(a,1,2,1))]. 18703 K(x,y) * K(K(x,y) * z,z \ 1) = z * (K(x,y) / z). [para(7983(a,1),18702(a,1,2)),flip(a)]. 18704 K(K(x,y) * z,z \ 1) = K(z,z \ K(x,y)). [hyper(17,a,5079,a,b,18703,a)]. 18705 (K(x,y) * z) * T(1 / z,K(x,y)) = z * (K(x,y) / z). [hyper(236,a,15065,a,b,18703,a(flip)),flip(a)]. 18707 K(x \ 1,K(y,z) * x) * K(z,y) = (x * (K(y,z) / x)) \ 1. [para(18703(a,1),14148(a,1,1)),flip(a)]. 18709 K(x,y) * K(z \ 1,z * K(x,y)) = (z * (K(y,x) / z)) \ 1. [hyper(16360,a,18707,a)]. 18710 (x * (K(y,z) / x)) \ 1 = (x \ 1) * (K(z,y) * x). [hyper(236,a,14517,a(flip),b,18709,a(flip))]. 18711 K(x \ K(y,z),x) * K(z,y) = (x \ 1) * (K(z,y) * x). [hyper(14620,a,18710,a)]. 18712 1 / (x * (K(y,z) / x)) = (x \ 1) * (K(z,y) * x). [hyper(236,a,14868,a(flip),b,18711,a(flip)),flip(a)]. 18713 ((x * K(y,z)) \ u) * (x * K(y,z)) = T(x \ u,K(z,y)) * T(x,K(y,z)). [para(7986(a,1),18671(a,1,1)),flip(a)]. 18714 ((x * K(y,z)) \ u) * (x * K(y,z)) = T(x \ u,K(z,y)) * T(x,K(z,y)). [para(7981(a,1),18713(a,2,2))]. 18715 ((K(x,y) * z) \ u) * (K(x,y) * z) = T(z \ u,K(y,x)) * T(z,K(y,x)). [hyper(18534,a,18714,a)]. 18716 ((K(x,y) * z) \ u) * (K(x,y) * z) = T(z \ u,K(x,y)) * T(z,K(y,x)). [para(7981(a,1),18715(a,2,1))]. 18717 ((K(x,y) * z) \ u) * (K(x,y) * z) = T(z \ u,K(x,y)) * T(z,K(x,y)). [para(7981(a,1),18716(a,2,2))]. 18718 L(x,y,T((z \ u) \ w,K(z,v5)) * T(z \ u,K(z,v5))) = L(x,y,T(w,T(z,v5) \ u)). [para(18717(a,1),15689(a,1,3))]. 18720 K(x,T((y * K(z,T(u,w))) / v5,y \ v5)) = K(x,(y * (v5 / y)) \ (K(z,u) * y)). [para(7285(a,1),18693(a,2,2))]. 18721 T(T(L(x,y,z) * K(u,x),u),K(L(x,y,z),x \ u)) = L(x,y,z) * a(x,y,K(z,u)). [para(17915(a,1),18035(a,2,2))]. 18722 T(T(L(x,y,z) * K(u,x),u),K(x,x \ u)) = L(x,y,z) * a(x,y,K(z,u)). [hyper(18094,a,18721,a)]. 18723 T(T(L(x,y,z) * K(u,x),u),K(x,u)) = L(x,y,z) * a(x,y,K(z,u)). [hyper(9319,a,18722,a)]. 18724 T(L(x,y,z) * K(u,x),T(u,x)) = L(x,y,z) * a(x,y,K(z,u)). [hyper(7997,a,18723,a)]. 18725 T(K(x,y) * L(y,z,u),x) = L(y,z,u) * a(y,z,K(u,x)). [hyper(236,a,8010,a(flip),b,18724,a(flip)),flip(a)]. 18726 K((T(K(x,y) * z,T(z,u)) \ w) * v5,v6) = K(((K(x,y) * z) \ w) * v5,v6). [hyper(16651,a,18265,a),flip(a)]. 18728 K(((K(x,y) * z) \ u) * w,v5) = K(((z * K(x,y)) \ u) * w,v5). [para(16447(a,1),18726(a,1,1,1,1)),flip(a)]. 18729 K(x * ((y * K(z,u)) \ w),T(v5,(y * K(z,u)) \ w)) = K(((K(z,u) * y) \ w) * x,v5). [hyper(236,a,13395,a,b,18728,a),flip(a)]. 18730 K(((K(x,y) * (z * x)) \ u) * w,v5) = K(((z * T(x,y)) \ u) * w,v5). [para(6201(a,1),18728(a,2,1,1,1))]. 18731 K(((K(x \ y,x) * (z * x)) \ u) * w,v5) = K(((z * (y / (y / x))) \ u) * w,v5). [para(7703(a,1),18728(a,2,1,1,1))]. 18732 K(x,y / (z * u)) * a(x,y,K(y \ z,u \ (z \ y))) = K(x,(y * L(u \ 1,u,z)) / z). [para(14575(a,1),18423(a,1,2,3))]. 18733 K(((x \ y) * x) / (L(K(z,u),w,v5) * x),v6) = K(x \ (L(K(u,z),w,v5) * y),v6). [hyper(16686,a,18465,a)]. 18734 K(x,y * (T(z * u,K(w,v5)) * K(w,L(v5,z,u)))) = K(x,y * ((K(w,v5) * z) * u)). [para(18043(a,1),18547(a,1,2,2,1))]. 18735 K(x,y * T((z * u) * K(w,L(v5,z,u)),K(w,v5))) = K(x,y * ((K(w,v5) * z) * u)). [hyper(236,a,18626,a,b,18734,a(flip)),flip(a)]. 18737 K(x,y * T(z * (T(u,z) * K(w,v5)),K(w,v5))) = K(x,y * ((K(w,v5) * u) * z)). [para(11506(a,1),18735(a,1,2,2,1))]. 18738 K(x,y * (z * (T(u,z) * K(w,v5)))) = K(x,y * ((K(w,v5) * u) * z)). [hyper(16670,a,18737,a)]. 18740 T(L(x * (K(y,x) * K(y,K(z,u))),w,v5),y * K(u,z)) = y \ T(y * L(x,w,v5),K(z,u)). [para(5574(a,1),18692(a,1,1,1))]. 18741 K(x,y / (z * u)) * a(u,y,K(x,z \ y)) = K(x,(y * L(u \ 1,u,z)) / z). [para(14212(a,1),18732(a,1,2))]. 18742 T(L((x * y) / T(x,K(z,u)),w,v5),x * K(u,z)) = x \ T(x * L(y,w,v5),K(z,u)). [para(8437(a,1),18740(a,1,1,1))]. 18743 L(T((x * y) / T(x,K(z,u)),x * K(u,z)),w,v5) = x \ T(x * L(y,w,v5),K(z,u)). [hyper(236,a,40,a,b,18742,a(flip)),flip(a)]. 18744 L(x \ T(x * y,K(z,u)),w,v5) = x \ T(x * L(y,w,v5),K(z,u)). [para(16450(a,1),18743(a,1,1))]. 18745 L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = w \ ((w * u) * L(z \ T(z * (u \ 1),K(x,y)),u,w)). [para(18744(a,2),13203(a,2,2,2))]. 18746 (K(x,K(y,z)) * (u * (w * v5))) \ ((K(x,K(y,z)) * (u * w)) * v5) = a(K(x,K(y,z)) * u,w,v5). [para(17668(a,1),17854(a,1,2,1))]. 18747 (x * (K(y,K(z,u)) * (w * v5))) \ (K(y,K(z,u)) * ((x * w) * v5)) = a(x,w * K(y,K(z,u)),v5). [para(17855(a,1),18296(a,1,1,2))]. 18748 L((x * K(y,y \ K(z,u))) * K(u,z),K(z,u),K(y \ K(z,u),y)) = x / ((y \ K(z,u)) * y). [para(7547(a,1),18662(a,1,1,1))]. 18749 (K(x,K(y,z)) * (u * (w * v5))) \ (K(x,K(y,z)) * ((u * w) * v5)) = a(K(x,K(y,z)) * u,w,v5). [para(17668(a,1),18746(a,1,2))]. 18750 K(x,K(y,z)) * ((u * (K(x,K(y,z)) * (w * v5))) \ ((u * w) * v5)) = a(u,w * K(x,K(y,z)),v5). [hyper(17919,a,18747,a)]. 18751 ((K(x,K(y,z)) * (u * (w * v5))) \ ((u * w) * v5)) * K(x,K(y,z)) = a(K(x,K(y,z)) * u,w,v5). [hyper(236,a,17889,a(flip),b,18749,a(flip)),flip(a)]. 18752 K(x,K(y,z)) * (K(x,K(y,z)) * ((u * (w * v5)) \ ((u * w) * v5))) = a(u,w * K(x,K(y,z)),v5). [para(17947(a,1),18750(a,1,2))]. 18753 (((x * (y * z)) \ ((x * y) * z)) * K(u,K(w,v5))) * K(u,K(w,v5)) = a(K(u,K(w,v5)) * x,y,z). [para(17943(a,1),18751(a,1,1))]. 18754 K(x,K(y,z)) * (K(x,K(y,z)) * a(u,w,v5)) = a(u,w * K(x,K(y,z)),v5). [para(24(a,2),18752(a,1,2,2))]. 18755 a(x,y * K(z,K(u,w)),v5) = a(x,y,v5). [hyper(7966,a,18754,a)]. 18756 a(x,T(y,K(z,u)),w) = a(x,y,w). [para(4887(a,2),18755(a,1,2))]. 18757 a(x,T(y,T(z,u)),w) = a(x,T(y,z),w). [para(7135(a,1),18756(a,1,2))]. 18758 a(x,T(y,z),T(z,u)) = a(x,y,T(z,u)). [hyper(15629,a,18757,a),flip(a)]. 18760 a(x,y,T(z,y)) = a(x,y,z). [hyper(8762,a,18758,a),flip(a)]. 18762 a(x,y \ z,(y \ z) \ z) = a(x,y \ z,y). [para(120(a,1),18760(a,1,3))]. 18763 (x * (y * z)) * a(x,z,y) = (x * z) * T(y,z). [para(18760(a,1),678(a,1,2))]. 18764 a(x,y,z) * (x * (z * y)) = (x * y) * T(z,y). [para(18760(a,1),14985(a,1,1))]. 18765 (x * (y * z)) \ ((x * z) * T(y,z)) != u | a(x,z,y) = u. [para(18763(a,1),283(a,1,2)),flip(b)]. 18766 (a(x,y,z) * u) \ ((a(x,y,z) * w) * u) = T(w,u). [hyper(14987,a,18764,a)]. 18767 (a(x,y,z) * u) * T(w,u) = (a(x,y,z) * w) * u. [hyper(236,a,14984,a(flip),b,18764,a(flip))]. 18768 (a(x,y,z) * u) * (a(x,y,z) \ 1) = T(u,a(x,y,z) \ 1). [hyper(236,a,125,a(flip),b,18766,a(flip)),flip(a)]. 18769 (a(x,y,z) * u) \ (w * u) = T(a(x,y,z) \ w,u). [para(14(a,1),18766(a,1,2,1))]. 18770 T(a(x,y,z) \ 1,u) = (a(x,y,z) * u) \ u. [para(54(a,1),18766(a,1,2)),flip(a)]. 18771 (a(x,y,z) * u) * T(w,u) != v5 | (a(x,y,z) * w) * u = v5. [para(18766(a,1),216(a,1,2)),flip(b)]. 18772 L(x,(a(y,z,u) * w) * v5,K(v6,a(y,z,u) * v5)) = L(x,T(w,v5),K(v6,a(y,z,u) * v5)). [para(18766(a,1),14732(a,1,2)),flip(a)]. 18773 T(x,a(y,z,u)) * ((x * a(y,z,u)) \ x) = x * T(a(y,z,u) \ 1,x). [para(18770(a,2),11061(a,2,2))]. 18774 (a(x,y,K(z,u)) * w) * v5 = w * (a(x,y,K(z,u)) * v5). [hyper(18047,a,18767,a),flip(a)]. 18775 T(a(x,y,z) * (u * K(w,u)),w) = w \ ((a(x,y,z) * w) * u). [hyper(394,a,18767,a(flip),b,7746,a)]. 18776 (a(x,y,z) * u) * L(T(w,u),v5,v6) = (a(x,y,z) * L(w,v5,v6)) * u. [para(40(a,2),18767(a,1,2))]. 18777 (a(x,y,z) * u) * T(w,u) != u * v5 | T(a(x,y,z) * w,u) = v5. [para(18767(a,2),169(a,2)),flip(a)]. 18778 (a(x,y,z) * T(u,K(w,v5))) * K(w,v5) = (a(x,y,z) * K(w,v5)) * u. [para(7983(a,1),18767(a,1,2)),flip(a)]. 18779 (x * a(x,y,z)) * T(u,x) = (a(x,y,z) * u) * x. [para(12748(a,1),18767(a,1,1))]. 18780 (x * a(y,z,z \ 1)) * T(u,x) = (a(y,z,z \ 1) * u) * x. [para(13894(a,1),18767(a,1,1))]. 18781 T(K(x,y) * (a(z,u,w) * y),x) = x \ ((a(z,u,w) * x) * y). [para(18767(a,1),18288(a,1,2)),flip(a)]. 18782 T(a(x,y,z) \ u,u \ w) = (a(x,y,z) * (u \ w)) \ w. [para(14(a,1),18769(a,1,2)),flip(a)]. 18783 T(a(x,y,z) \ (u / w),w) = (a(x,y,z) * w) \ u. [para(16(a,1),18769(a,1,2)),flip(a)]. 18784 K(a(x,y,z) \ u,a(x,y,z)) * (w * (u / a(x,y,z))) = u * T(a(x,y,z) \ w,u / a(x,y,z)). [para(18769(a,1),11137(a,1,2)),flip(a)]. 18785 ((a(x,y,z) * u) * x) / (a(x,y,z) * T(u,x)) != w | R(x,a(x,y,z),T(u,x)) = w. [para(18779(a,1),475(a,1,1))]. 18786 K(a(x,y,z) \ (u / w),w) \ ((a(x,y,z) * w) \ u) = a(x,y,z) \ (u / w). [hyper(72,a,18783,a(flip),b,4897,a(flip))]. 18787 (a(x,y,z) \ (u / w)) * w = w * ((a(x,y,z) * w) \ u). [para(18783(a,1),119(a,1,2)),flip(a)]. 18788 T((a(x,y,z) \ u) * K(w,u),w) = (a(x,y,z) * w) \ (w * u). [para(14226(a,1),18783(a,1,1))]. 18789 a(x * K(y,z),z,y) != u | a(x,z,y) = u. [para(10464(a,1),18765(a,1))]. 18790 x * (a(y,z,K(x,u)) * w) = L(x,z,K(u,y)) * w. [para(14674(a,1),18774(a,1,1)),flip(a)]. 18791 x * (a(y,z,K(x,u)) * (z * K(u,y))) = (x * z) * K(u,y). [hyper(236,a,15604,a(flip),b,18790,a)]. 18793 x * (y * a(x,z,K(u,w))) = L(x,z,K(u,w)) * y. [para(17791(a,1),18790(a,1,2))]. 18794 (a(x,y,z) \ u) * T(w,u) = w * ((a(x,y,z) * w) \ (w * u)). [hyper(236,a,14266,a(flip),b,18787,a(flip)),flip(a)]. 18795 T(x,y / (y * ((a(z,u,w) * y) \ v5))) = T(x,(a(z,u,w) \ (v5 / y)) \ 1). [para(18787(a,1),4186(a,1,2,2))]. 18796 T(a(x,y,z) \ u,a(x,y,z) \ 1) != w | u * (a(x,y,z) \ 1) = w. [para(18768(a,1),515(a,1))]. 18797 a(a(x,y,z),u,w) * (a(x,y,z) * (w * u)) != v5 | (a(x,y,z) * w) * u = v5. [para(18764(a,2),18771(a,1))]. 18798 x * (y * K(z,L(u,y,x \ 1))) = (x * y) * K(z,u). [para(18478(a,1),18791(a,1,2))]. 18799 (a(x \ 1,x,y) * z) \ ((z * K(u,L(w,z,a(x \ 1,x,y) \ 1))) * a(x \ 1,x,y)) = K(u,w). [hyper(14218,a,18798,a)]. 18800 (x \ y) * K(z,L(u,x \ y,x \ 1)) = x \ (y * K(z,u)). [hyper(72,a,90,a(flip),b,18798,a),flip(a)]. 18801 K(x,L(L(y,z,u \ 1),z,u)) = K(x,y). [hyper(11579,a,18798,a(flip))]. 18803 K((x * y) \ z,L(u,x \ z,x \ 1)) = K(y \ (x \ z),u). [hyper(11491,a,18801,a)]. 18804 K(x \ (y * z),L(u,x,y \ 1)) = K((y \ x) \ z,u). [hyper(236,a,14569,a(flip),b,18801,a(flip)),flip(a)]. 18805 K(x,L((y * z) \ u,z,y \ 1)) = K(x,z \ (y \ u)). [para(510(a,1),18801(a,1,2))]. 18806 T(x,K((y \ z) \ u,w) * v5) != v6 | T(x,K(z \ (y * u),w) * v5) = v6. [para(18804(a,1),18092(a,1,2,1))]. 18807 K(x,(y * z) \ u) * a((y * z) \ u,z,K(y,x)) = K(x,z \ (y \ u)). [hyper(17965,a,18805,a)]. 18808 K(x,L(y,z,z \ 1) \ ((z \ 1) * u)) = K(x,y \ (z \ u)). [hyper(236,a,18439,a(flip),b,18805,a(flip)),flip(a)]. 18809 K(x,L(a(y,y \ z,u),(y \ z) * u,y \ 1)) = K(x,((y \ z) * u) \ (y \ (z * u))). [para(92(a,1),18805(a,1,2,1))]. 18810 K(x,L(T(y,z \ 1) \ u,y * ((z \ y) / y),z \ 1)) = K(x,(y * ((z \ y) / y)) \ (z \ u)). [para(3771(a,1),18805(a,1,2,1,1))]. 18812 T(x,K(y,z \ (u * K(w,v5)))) = T(x,K(y,z \ u)). [para(18800(a,1),16998(a,1,2,2))]. 18813 (x \ y) * K(z,L(u,y,x \ 1)) = x \ (y * K(z,u)). [para(18029(a,1),18800(a,1,2))]. 18814 K(x,y * (z \ (u * K(w,v5)))) = K(x,y * ((z \ u) * K(w,v5))). [para(18800(a,1),18268(a,1,2,2))]. 18815 T(x,K(y,z \ (T(u,w) * v5))) = T(x,K(y,z \ (u * v5))). [para(5689(a,1),18812(a,1,2,2,2))]. 18816 T(x,K(y,z \ (T(u,w) \ v5))) = T(x,K(y,z \ (u \ v5))). [para(8578(a,1),18812(a,1,2,2,2))]. 18817 K(x,L(y \ (z * u),y,z \ 1)) = K(x,(z \ y) \ u). [hyper(17,a,11718,a(flip),b,18813,a)]. 18818 K(x,L((y / K(z,L(u,w,v5 \ 1))) / (v5 \ w),y,K(z,L(u,w,v5 \ 1)))) = K(x,y / (v5 \ (w * K(z,u)))). [para(18813(a,1),15428(a,2,2,2))]. 18819 K(x,L(y \ (z * u),z * u,z \ 1)) = K(x,(z \ y) \ u). [hyper(11592,a,18817,a)]. 18820 K(x,K(y \ (z \ u),w) * v5) != v6 | K(x,K((z * y) \ u,w) * v5) = v6. [para(18803(a,1),18107(a,1,2,1))]. 18821 K(x,L((y * z) \ u,u,y \ 1)) = K(x,z \ (y \ u)). [hyper(236,a,11723,a,b,18808,a(flip)),flip(a)]. 18822 K(x,(y * z) \ L(y,u,w)) = K(x,z \ (y \ L(y,u,w))). [hyper(14408,a,18821,a)]. 18823 K(x,L((y * z) \ R(y,u,u \ 1),R(y,u,u \ 1),y \ 1)) = K(x,z \ a(y,u,u \ 1)). [para(688(a,1),18821(a,2,2,2))]. 18824 K(x,L(y \ (z * u),u,z \ 1)) = K(x,(z \ y) \ u). [hyper(236,a,18028,a(flip),b,18819,a(flip)),flip(a)]. 18825 x \ ((a(x,y,y \ 1) * x) * z) = a(x,y,y \ 1) * z. [hyper(236,a,11233,a(flip),b,18775,a(flip))]. 18826 x \ (R(x,y,y \ 1) * z) = a(x,y,y \ 1) * z. [para(3699(a,1),18825(a,1,2,1))]. 18827 R(x,y,y \ 1) * (x \ z) = a(x,y,y \ 1) * z. [hyper(1496,a,18826,a)]. 18828 R(x,y,y \ 1) \ (x * z) = a(x,y,y \ 1) \ z. [hyper(530,a,18826,a),flip(a)]. 18829 x * (a(x,y,y \ 1) * z) = R(x,y,y \ 1) * z. [para(18826(a,1),14(a,1,2))]. 18831 (x / y) * R(y,z,z \ 1) = a(y,z,z \ 1) * x. [hyper(236,a,15425,a(flip),b,18827,a(flip)),flip(a)]. 18832 K(x,(y / z) * L(z,u,u \ 1)) = K(x,a(z,u,u \ 1) * y). [para(18827(a,1),18570(a,1,2)),flip(a)]. 18833 x * (R(x,y,y \ 1) \ z) = a(x,y,y \ 1) \ z. [hyper(1510,a,18828,a)]. 18834 L((x \ 1) \ 1,x \ 1,y * x) = a(y,x,x \ 1) \ x. [hyper(655,a,18828,a)]. 18835 R(x,y,y \ 1) * (a(x,y,y \ 1) \ z) = x * z. [para(18828(a,1),14(a,1,2))]. 18836 a(x,y,y \ 1) \ (x \ z) = R(x,y,y \ 1) \ z. [para(14(a,1),18828(a,1,2)),flip(a)]. 18837 T(x,a(y,z,z \ 1) \ z) = T(x,z). [para(18828(a,1),6533(a,1,2))]. 18838 a(x,y,y \ 1) * (z / R(x,y,y \ 1)) = z / x. [hyper(17,a,15014,a(flip),b,18829,a)]. 18839 (R(x,y,y \ 1) * T(z,x * a(x,y,y \ 1))) / (x * a(x,y,y \ 1)) = L(z,a(x,y,y \ 1),x). [hyper(74,a,18829,a(flip),b,606,a(flip))]. 18840 a(R(x,x \ y,z),u,u \ 1) * (y * z) = (R(x,u,u \ 1) * (x \ y)) * z. [hyper(15650,a,18831,a),flip(a)]. 18841 a(x,y,y \ 1) * (z * x) = z * R(x,y,y \ 1). [para(15(a,1),18831(a,1,1)),flip(a)]. 18842 L(a(L(x,y / x,z),u,u \ 1),L(x,y / x,z),z * (y / x)) = (z * ((y / x) * x)) \ (z * (a(x,u,u \ 1) * y)). [para(18831(a,1),2456(a,2,2,2))]. 18843 (R(x,y,y \ 1) \ x) \ (a(x,y,y \ 1) \ 1) = 1. [hyper(243,a,1504,a(flip),b,18833,a(flip))]. 18844 (K(x,y) * K(z \ 1,u)) / (a(K(x,y) * z,w,w \ 1) \ T(z \ 1,u)) = R(K(x,y) * z,w,w \ 1). [hyper(14516,a,18835,a(flip))]. 18845 R(x,y,y \ 1) \ (x * z) != u | a(x,y,y \ 1) \ z = u. [para(18835(a,1),283(a,1,2)),flip(b)]. 18846 (x * y) / R(y,z,z \ 1) = a(y,z,z \ 1) \ x. [hyper(72,a,15,a(flip),b,18838,a),flip(a)]. 18847 (x * y) \ (x * R(y,z,z \ 1)) = a(y,z,z \ 1). [hyper(72,a,18841,a(flip),b,13894,a(flip))]. 18849 (R(x,y,y \ 1) \ x) \ 1 = (a(x,y,y \ 1) \ 1) \ 1. [para(18843(a,1),15301(a,1,2)),flip(a)]. 18850 L((x \ 1) \ 1,x \ 1,x * y) = a(y,x,x \ 1) \ x. [hyper(6924,a,18846,a)]. 18851 (x * y) / R(y,z,z \ 1) = y * (R(y,z,z \ 1) \ x). [hyper(236,a,18833,a,b,18846,a)]. 18852 (x * y) / R(y,z,z \ 1) = R(y,z,z \ 1) \ (y * x). [hyper(236,a,18828,a,b,18846,a)]. 18853 L(a(x,y,y \ 1),x,z) = a(x,y,y \ 1). [hyper(788,a,18847,a)]. 18854 L((K(x \ y,y \ (x * z)) \ 1) \ 1,K(x \ y,y \ (x * z)) \ 1,(x \ y) * (z / (x \ y))) = a(z,K(x \ y,y \ (x * z)),K(x \ y,y \ (x * z)) \ 1) \ K(x \ y,y \ (x * z)). [para(10749(a,1),18834(a,1,3))]. 18855 (R(x,y,y \ 1) \ x) \ 1 = a(x,y,y \ 1). [hyper(236,a,13891,a(flip),b,18849,a)]. 18858 (1 / a(x,y,y \ 1)) \ z != u | (R(x,y,y \ 1) \ x) \ z = u. [para(18855(a,1),519(a,1,1,2))]. 18859 x * (R(y,z,z \ 1) \ y) = x * (a(y,z,z \ 1) \ 1). [para(18855(a,1),10428(a,1,2,1)),flip(a)]. 18860 (a(x,y,y \ 1) \ y) \ ((y \ 1) \ 1) = L(y,y \ 1,y * x) \ y. [para(18850(a,1),6991(a,1,1))]. 18861 (x * y) / R(y,z,z \ 1) != u | a(y,z,z \ 1) \ x = u. [para(18852(a,2),18845(a,1))]. 18862 ((x * a(y,z,z \ 1)) * u) \ ((a(y,z,z \ 1) * u) * x) = K(u,x). [hyper(72,a,18780,a(flip),b,6201,a)]. 18864 K(x,a(y \ 1,y,z) \ u) = K(x,a(z,y,y \ 1) * u). [hyper(236,a,18646,a(flip),b,18832,a(flip)),flip(a)]. 18865 x * (a(y,z,z \ 1) \ 1) = a(y,z,z \ 1) \ x. [hyper(18796,a,10424,a)]. 18866 (a(x,y,y \ 1) \ 1) * T(z,a(x,y,y \ 1) \ 1) = a(x,y,y \ 1) \ z. [hyper(222,a,18865,a)]. 18867 x * (R(y,z,z \ 1) \ y) = a(y,z,z \ 1) \ x. [hyper(236,a,18859,a,b,18865,a(flip)),flip(a)]. 18868 (a(x,y,y \ 1) \ z) \ (z * ((a(x,y,y \ 1) \ 1) * u)) = L(u,a(x,y,y \ 1) \ 1,z). [para(18865(a,1),28(a,2,1)),flip(a)]. 18869 a(x,x \ y,(x \ y) \ 1) \ z = z * ((x \ (y * ((x \ y) \ 1))) \ 1). [para(687(a,1),18865(a,1,2,1)),flip(a)]. 18870 a(x,1 / y,(1 / y) \ 1) \ z = z * (R(x,y \ 1,y) \ x). [para(7073(a,1),18867(a,1,2,1)),flip(a)]. 18871 x * (R(y,z \ 1,z) \ y) = a(y,1 / z,z) \ x. [para(65(a,1),18870(a,1,1,3)),flip(a)]. 18872 x * (R(y,z \ 1,z) \ y) = a(y,z \ 1,z) \ x. [para(3626(a,1),18871(a,2,1))]. 18873 K(x,(y * z) \ u) * a(x,z,K(z \ u,y)) = K(x,z \ (y \ u)). [para(17420(a,1),18807(a,1,2))]. 18874 a(x,y,K(y \ z,u)) * K(x,(u * y) \ z) = K(x,y \ (u \ z)). [hyper(17808,a,18873,a)]. 18875 a(x,T(y,z),K(K(z,y) * u,w)) * K(x,(w * T(y,z)) \ (y * u)) = K(x,T(y,z) \ (w \ (y * u))). [para(5203(a,1),18874(a,1,1,3,1))]. 18876 x * ((y \ (z * ((y \ z) \ 1))) \ 1) = (y \ (z * ((y \ z) \ 1))) \ x. [para(687(a,1),18869(a,1,1)),flip(a)]. 18877 ((x \ (y * ((x \ y) \ 1))) * z) \ z = (x \ (y * ((x \ y) \ 1))) \ 1. [hyper(72,a,13,a(flip),b,18876,a)]. 18878 T(x,(((a(y,z,u) * w) \ v5) * w) \ w) = T(x,(a(y,z,u) \ (v5 / w)) \ 1). [hyper(8682,a,18795,a)]. 18879 T(x,T(y \ (a(z,u,w) * v5),v5)) = T(x,(a(z,u,w) \ (y / v5)) \ 1). [hyper(236,a,9767,a(flip),b,18878,a(flip)),flip(a)]. 18880 K(a(x,y,z) \ (u \ w),u) \ ((a(x,y,z) * u) \ w) = a(x,y,z) \ (w / u). [para(7493(a,1),18786(a,1,1))]. 18881 a(a(x,y,y \ 1),z,u) * ((u * z) * a(x,y,y \ 1)) != w | (a(x,y,y \ 1) * u) * z = w. [para(13894(a,1),18797(a,1,2))]. 18882 a(R(x,x \ y,z),u,u \ 1) * (y * z) = (a(x,u,u \ 1) * y) * z. [para(18827(a,1),18840(a,2,1))]. 18883 a(R(x,x \ y,z),u,u \ 1) = R(a(x,u,u \ 1),y,z). [hyper(18,a,113,a,b,18882,a)]. 18884 a(((x \ y) * z) \ (y * z),u,u \ 1) = R(a(x,u,u \ 1),y,z). [hyper(236,a,15571,a(flip),b,18883,a(flip)),flip(a)]. 18885 (a(x,y,y \ 1) \ 1) * z = a(x,y,y \ 1) \ z. [para(10424(a,1),18866(a,1,2))]. 18886 (a(x,y,y \ 1) \ 1) \ z = a(x,y,y \ 1) * z. [hyper(72,a,13,a(flip),b,18885,a)]. 18887 (a(x,y,y \ 1) \ 1) \ z = z * a(x,y,y \ 1). [hyper(236,a,13894,a(flip),b,18886,a)]. 18888 a(x,1 / y,(1 / y) \ 1) * z = (a(x,1 / y,y) \ 1) \ z. [para(65(a,1),18886(a,1,1,1,3)),flip(a)]. 18889 (1 / a(x,y,y \ 1)) \ z = a(x,y,y \ 1) * z. [para(12738(a,2),18886(a,1,1))]. 18890 (R(x,y,y \ 1) \ x) \ z = a(x,y,y \ 1) * z. [hyper(18858,a,18889,a)]. 18893 ((x * ((x \ y) * ((x \ y) \ 1))) \ (y * ((x \ y) \ 1))) * z = (R(x,x \ y,(x \ y) \ 1) \ x) \ z. [para(92(a,2),18890(a,2,1)),flip(a)]. 18894 a(x,1 / y,(1 / y) \ 1) * z = (a(x,y \ 1,y) \ 1) \ z. [para(3626(a,1),18888(a,2,1,1))]. 18895 (a(x,y \ 1,y) \ 1) \ z = a(x,1 / y,y) * z. [para(65(a,1),18894(a,1,1,3)),flip(a)]. 18896 (a(x,y \ 1,y) \ 1) \ z = a(x,y \ 1,y) * z. [para(3626(a,1),18895(a,2,1))]. 18897 (a(x,y \ 1,y) \ 1) * z = a(x,y \ 1,y) \ z. [hyper(305,a,18896,a),flip(a)]. 18898 (a(x,y \ 1,y) \ z) / z = a(x,y \ 1,y) \ 1. [hyper(87,a,18897,a)]. 18899 T((a(x,y \ 1,y) \ z) / z,u) = a(x,y \ 1,y) \ 1. [para(18898(a,2),11934(a,1,1))]. 18900 x * (a(y,z \ 1,z) \ 1) = a(y,z \ 1,z) \ x. [para(18899(a,1),167(a,1,2))]. 18901 K(x,a(y,z,u) \ (x \ w)) * ((a(y,z,u) * x) \ w) = a(y,z,u) \ (w / x). [hyper(5286,a,18880,a)]. 18902 T(x * K(a(x,y,z) * u,x),u) = R(x,a(x,y,z),T(u,x)). [hyper(18785,a,9817,a),flip(a)]. 18903 T(x * K(a(x,y,z) * u,x),u) = R(x,a(x,y,z),u). [hyper(236,a,8373,a(flip),b,18902,a)]. 18904 a(x,y \ z,K(y,L(u,(y \ z) * x,y \ 1))) = K(u,((y \ z) * x) \ (y \ (z * x))). [hyper(14318,a,18809,a)]. 18905 (a(x,y,y \ 1) \ z) \ (z * (a(x,y,y \ 1) \ u)) = L(u,a(x,y,y \ 1) \ 1,z). [para(18885(a,1),18868(a,1,2,2))]. 18906 (a(x,y,z) * K(u,K(w,v5))) * K(u,K(w,v5)) = a(K(u,K(w,v5)) * x,y,z). [para(24(a,2),18753(a,1,1,1))]. 18907 a(K(x,K(y,z)) * u,w,v5) = a(u,w,v5). [hyper(7974,a,18906,a)]. 18908 a(K(x,K(y,z)) * u,w,v5) != v6 | a(u,w,v5) = v6. [para(18906(a,1),7974(a,1)),flip(b)]. 18909 a(K(x,y) / z,u,w) = a(z \ K(x,y),u,w). [hyper(236,a,13612,a(flip),b,18907,a(flip)),flip(a)]. 18910 a(K(x,y) * z,u,w) = a(z * K(x,y),u,w). [para(4817(a,1),18907(a,1,1)),flip(a)]. 18911 a(x \ T(y,K(z,u)),w,v5) = a(x \ y,w,v5). [para(5697(a,1),18907(a,1,1))]. 18912 a((K(x,y) * z) * u,w,v5) = a((z * K(x,y)) * u,w,v5). [para(11049(a,1),18907(a,1,1)),flip(a)]. 18913 a((x / T(y,z)) \ K(z,y),u,w) = a(1 / (x / y),u,w). [para(14196(a,1),18909(a,1,1)),flip(a)]. 18914 a(K(x,x \ y) * z,u,w) = a(z * K(x,y),u,w). [hyper(236,a,13609,a(flip),b,18910,a)]. 18915 a(K(x,y) * z,y,x) = a(z,y,x). [hyper(18789,a,18910,a(flip)),flip(a)]. 18916 a(T(x,y) \ z,x,y) = a(x \ z,x,y). [para(5204(a,1),18915(a,1,1))]. 18917 a(x,y,z) * ((z * y) * x) = ((((z * y) * x) / (y * z)) * y) * z. [para(18915(a,1),15489(a,1,1))]. 18918 a(x \ (K(y,z) * u),w,v5) = a(x \ (u * K(y,z)),w,v5). [para(7222(a,1),18911(a,1,1,2)),flip(a)]. 18919 a(T(x,K(y,z)) \ u,w,v5) != v6 | a(x \ u,w,v5) = v6. [para(7906(a,1),18908(a,1,1))]. 18920 a(K(x,y) * z,u,w) != v5 | a(z * K(x,y),u,w) = v5. [para(7938(a,1),18908(a,1,1))]. 18921 a(x * K(y,y * z),u,w) = a(K(y,z) * x,u,w). [para(13(a,1),18914(a,1,1,1,2)),flip(a)]. 18922 a(x * K(y \ 1,y * z),u,w) = a(K(z,y) * x,u,w). [hyper(236,a,14988,a,b,18921,a(flip)),flip(a)]. 18923 a((K(x,y) * (z \ 1)) * u,w,v5) = a((z \ K(x,y)) * u,w,v5). [para(14046(a,1),18912(a,2,1,1))]. 18924 a((x / T(y,z)) \ K(z,y),u,w) != v5 | a((x / y) \ 1,u,w) = v5. [para(18913(a,2),13610(a,1))]. 18925 a(L(x \ y,x,K(z,u)),w,v5) = a((K(z,u) * x) \ (y * K(z,u)),w,v5). [para(105(a,2),18918(a,1,1))]. 18926 a(x * K(y \ 1,z),u,w) = a(K(z,y) * x,u,w). [hyper(236,a,13617,a(flip),b,18922,a(flip)),flip(a)]. 18927 a(x * K(y \ 1,z),u,w) != v5 | a(x * K(z,y),u,w) = v5. [para(18926(a,2),18920(a,1))]. 18928 K(x,y) * a((z \ K(u,w)) * v5,v6,K(y,x)) = K(x,L(y,v6,(K(u,w) * (z \ 1)) * v5)). [para(18923(a,1),11482(a,1,2))]. 18929 a(x,y,z) * ((z * y) * x) = (z * y) * R(x,y,z). [hyper(236,a,10941,a(flip),b,18917,a)]. 18930 a((x \ (T(x,y) / (T(x,y) / z))) \ 1,u,w) != v5 | a((z / x) \ 1,u,w) = v5. [para(14548(a,2),18924(a,1))]. 18931 (x * y) * R(a(z,u,u \ 1),y,x) = (a(z,u,u \ 1) * x) * y. [hyper(18881,a,18929,a),flip(a)]. 18932 K(x,K(y,y \ (x \ T(z,u)))) \ K((x * y) \ z,T(x * y,u)) = K((x * y) \ T(z,u),y * x). [para(7919(a,1),17876(a,1,1))]. 18933 K(x,y) \ ((L(K(x,y),z,u) * w) * K(v5,v6)) = (w * a(x,z,K(u,y))) * K(v5,v6). [para(17652(a,1),17982(a,1,1))]. 18934 K(x,y) \ (L(K(x,y),z,u) * (w * K(v5,v6))) = (w * a(x,z,K(u,y))) * K(v5,v6). [para(17741(a,1),18933(a,1,2))]. 18935 K(x,y) * (L(K(y,x),z,u) * (w * K(v5,v6))) = (w * a(y,z,K(u,x))) * K(v5,v6). [hyper(5286,a,18934,a)]. 18936 (x * a(y,z,K(u,w))) * K(v5,v6) = a(y,z,K(u,w)) * (x * K(v5,v6)). [hyper(14621,a,18935,a),flip(a)]. 18937 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(4890,a,18936,a),flip(a)]. 18938 a(x,y,K(z,u)) * (w * K(w,v5)) = T(w * a(x,y,K(z,u)),v5). [para(18075(a,1),18937(a,1,2,2))]. 18939 T(x * a(y,z,K(u,w)),v5) = a(y,z,K(u,w)) * T(x,v5). [para(4887(a,2),18938(a,1,2)),flip(a)]. 18941 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(18939(a,2),14350(a,1,2,2))]. 18942 K(x,T(T((y * K(z,u)) / w,K(y,v5)),y \ w)) = K(x,(y * K(z,u)) / T(w,K(y,v5))). [hyper(16991,a,18026,a)]. 18943 K(x,T((y * K(z,u)) / w,y \ w)) = K(x,(y * K(z,u)) / T(w,K(y,v5))). [hyper(16234,a,18942,a)]. 18944 K(x,T((y * K(z,u)) / w,y \ w)) != v5 | K(x,(y * K(z,u)) / w) = v5. [para(18943(a,2),16676(a,1))]. 18945 K(x,(y * (z / y)) \ (K(u,w) * y)) = K(x,(y * K(u,T(w,v5))) / z). [hyper(18944,a,18720,a),flip(a)]. 18946 K(x,(y * (z / y)) \ (K(u,w) * y)) = K(x,(y * K(u,w)) / z). [para(118(a,1),18945(a,2,2,1,2,2))]. 18947 K(x,(y * (z / y)) \ (K(u,w) * y)) != v5 | K(x,y / (z * K(w,u))) = v5. [para(18946(a,2),17906(a,1))]. 18948 K(K(K(x,y) * z,T(u,w)) * (v5 * (v6 / u)),v7) = K(v5 * (v6 / T(u,K(y,x) * T(z,w))),v7). [para(18146(a,1),18210(a,1,1,1))]. 18949 K((x * (y / z)) * K(z,K(u,w) * v5),v6) = K(x * (y / T(z,K(w,u) * T(v5,v7))),v6). [hyper(16712,a,18948,a)]. 18950 K(K(x,y) * (z * (u / y)),w) = K(z * (u / T(y,K(v5,v6) * T(x,v7))),w). [hyper(17261,a,18949,a)]. 18952 K(x * (y / T(z,K(u,w) * T(v5,v6))),v7) != v8 | K(x * (y / T(z,v5)),v7) = v8. [para(18950(a,1),18362(a,1))]. 18953 K(x,K(y,L(z,y \ u,w)) * (v5 * ((y \ u) * w))) = K(x,v5 * (T(R(y,y \ u,w),z) \ (u * w))). [para(15351(a,1),18212(a,1,2,1))]. 18954 K(x * ((y * z) / T(L(u,u \ z,y),w)),v5) = K(x * (K(u,L(w,z,y)) * (y * (z / u))),v5). [para(11468(a,1),18233(a,1,1,2,1)),flip(a)]. 18955 K(x * ((y * z) / T(L(u,u \ z,y),w)),v5) = K(K(u,w) * (x * (y * (z / u))),v5). [hyper(236,a,18278,a(flip),b,18954,a)]. 18957 K(K(x,y) * (z * (u * (w / x))),v5) = K(z * (u * (w / T(x,y))),v5). [para(11640(a,1),18955(a,1,1,2)),flip(a)]. 18958 K(x * (y * (z / T(u,z))),w) = K(x * (y * (u \ z)),w). [hyper(236,a,18377,a(flip),b,18957,a(flip))]. 18959 L(x,y,K(z,u) * (w * K(w * u,u \ 1))) = L(x,y,T(K(z,u) * w,u \ 1)). [para(10334(a,1),18371(a,1,3,1)),flip(a)]. 18960 K(x,(K(y,T(z,u)) * (K(w,T(v5,v6)) \ (v7 * K(z,T(y,u))))) \ v8) = K(x,v7 \ (K(v5,T(w,v6)) \ v8)). [para(17701(a,2),18489(a,1,2,1,2))]. 18961 K(x,T(y / (K(T(z,u),T(z,u) \ w) \ w),v5)) = K(x,T(y / ((z \ w) * z),v5)). [para(7129(a,1),18630(a,2,2,1,2))]. 18963 K(x,T(y / (K(z,T(T(z,u) \ w,u)) \ w),v5)) = K(x,T(y / ((z \ w) * z),v5)). [para(7260(a,1),18961(a,1,2,1,2,1))]. 18964 K(x,T(y / (K(z,z \ T(u,w)) \ u),v5)) = K(x,T(y / ((z \ u) * z),v5)). [para(11189(a,1),18963(a,1,2,1,2,1))]. 18966 ((x * K(y,z)) * u) \ (x * (K(y,z) * u)) = a(u,K(y,z),x). [hyper(18765,a,18672,a),flip(a)]. 18967 L(x \ L(x,K(y,z),u),x,u * K(y,z)) = a(x,K(y,z),u). [hyper(832,a,18966,a)]. 18968 (a(x \ 1,x,y) * z) \ ((z * K(u,L(w,z,a(y,x,x \ 1)))) * a(x \ 1,x,y)) = K(u,w). [para(14950(a,1),18799(a,1,2,1,2))]. 18969 (a(x \ 1,x,y) * z) \ ((z * K(u,w)) * a(x \ 1,x,y)) = K(u,w). [para(15625(a,1),18968(a,1,2,1,2))]. 18971 K(x,(a(y \ 1,y,z) * u) \ w) = K(x,u \ (a(y \ 1,y,z) \ w)). [hyper(236,a,14363,a(flip),b,18969,a(flip)),flip(a)]. 18972 K(x,(y * a(z \ 1,z,u)) \ w) = K(x,y \ (a(z \ 1,z,u) \ w)). [hyper(18106,a,18971,a)]. 18974 K(x,K(y,x \ T(z,u))) \ K((x * y) \ z,T(x * y,u)) = K((x * y) \ T(z,u),y * x). [para(9208(a,1),18932(a,1,1))]. 18975 K(x,K(y,T(z,u))) \ K((x * y) \ z,T(x * y,u)) = K((x * y) \ T(z,u),y * x). [para(9203(a,1),18974(a,1,1))]. 18976 K(x,K(y,z)) \ K((x * y) \ z,T(x * y,u)) = K((x * y) \ T(z,u),y * x). [para(16034(a,1),18975(a,1,1))]. 18977 K(x,K(y,z)) * K((x * y) \ z,T(x * y,u)) = K((x * y) \ T(z,u),y * x). [hyper(7969,a,18976,a)]. 18979 T(K((x * y) \ z,x * y) * K(x,K(y,z)),u) = K((x * y) \ T(z,u),y * x). [hyper(236,a,16774,a,b,18977,a(flip)),flip(a)]. 18980 T(K(x \ (y \ z),x * y) * K(x,K(y,z)),u) = K((x * y) \ T(z,u),y * x). [para(14410(a,1),18979(a,1,1,1))]. 18981 K((x * y) \ T(z,u),y * x) = T(K(y \ (x \ z),y * x),u). [para(18447(a,1),18980(a,1,1)),flip(a)]. 18982 K((x * y) \ T(z,u),y * x) = K(y \ (x \ z),T(y * x,u)). [hyper(236,a,7256,a,b,18981,a)]. 18983 K((x * y) \ z,T(x * y,u)) = K(x \ (y \ z),T(x * y,u)). [hyper(15737,a,18982,a)]. 18984 K(x,y * (T(R(z,z \ u,w),v5) \ (u * w))) = K(x,(y * ((z \ u) * w)) * K(v5,z)). [hyper(18126,a,18953,a),flip(a)]. 18985 K(x,y * (T(R(z,z \ u,w),v5) \ (u * w))) = K(x,y * (((z \ u) * w) * K(v5,z))). [hyper(236,a,18066,a(flip),b,18984,a)]. 18986 K(x,y * (T(R(z,z \ u,w),v5) \ (u * w))) = K(x,y * ((z \ u) * (w * K(v5,z)))). [hyper(236,a,18118,a(flip),b,18985,a)]. 18987 K(x,y * (R(T(z,u),z \ w,v5) \ (w * v5))) = K(x,y * ((z \ w) * (v5 * K(u,z)))). [para(42(a,2),18986(a,1,2,2,1))]. 18988 K(x,y * ((z \ u) * (w * K(v5,z)))) = K(x,y * ((T(z,v5) \ u) * w)). [para(15500(a,1),18987(a,1,2,2)),flip(a)]. 18989 K(x,y * ((((z \ u) \ u) \ w) * v5)) = K(x,y * ((z \ w) * (v5 * K(z \ u,z)))). [para(120(a,1),18988(a,2,2,2,1,1)),flip(a)]. 18990 K(x,y * ((((z \ u) \ u) \ w) * v5)) = K(x,y * ((z \ w) * (v5 * K(u,z)))). [hyper(236,a,18456,a(flip),b,18989,a)]. 18991 K(x,y * ((((z \ u) \ u) \ w) * v5)) = K(x,y * ((T(z,u) \ w) * v5)). [hyper(236,a,18988,a(flip),b,18990,a)]. 18992 K(x,y * ((T(z,u) \ w) * K(v5,((z \ u) \ u) \ w))) = K(x,y * T(((z \ u) \ u) \ w,v5)). [hyper(18166,a,18991,a),flip(a)]. 18993 K(x,y * ((T(z,u) \ w) * K(v5,T(z,u) \ w))) = K(x,y * T(((z \ u) \ u) \ w,v5)). [para(13049(a,1),18992(a,1,2,2,2))]. 18994 K(x,y * T(((z \ u) \ u) \ w,v5)) = K(x,y * T(T(z,u) \ w,v5)). [hyper(18166,a,18993,a),flip(a)]. 18995 K(x,y * T(T(z,u) \ w,z)) = K(x,y * (w / ((z \ u) \ u))). [hyper(236,a,16709,a(flip),b,18994,a(flip))]. 18996 K(x,y * (z / ((u \ w) \ w))) = K(x,y * (z / T(u,w))). [hyper(236,a,16710,a(flip),b,18995,a(flip))]. 18997 K(x,y * (z / T((u \ w) \ w,v5))) = K(x,y * (z / T(T(u,v5),w))). [para(7783(a,1),18996(a,1,2,2,2))]. 18998 K(x,(y * K(z,T(u,w))) \ v5) = K(x,y \ (K(z,T(u,w)) \ v5)). [para(14(a,1),18960(a,1,2,1))]. 18999 K(x * T((y \ z) * K(u,K(w,v5)),a(w,y,u)),v6) = K(x * ((K(u,w) * y) \ (K(u,T(w,v5)) * z)),v6). [para(14670(a,1),17918(a,1,1,2))]. 19000 K(x,y) \ (a(x,z \ 1,K(y,(K(x,y) / z) \ u)) * u) = (1 / z) * ((K(x,y) * (1 / z)) \ u). [para(14500(a,1),18006(a,1,2,1,3,2,1))]. 19001 K(x,L(K(y,z) * (z / (u / w)),z * K(y,z),(z * K(y,z)) \ u)) = K(x,(z * (K(y,z) * w)) / u). [para(17440(a,1),18419(a,1,2,1))]. 19002 K(a(x,y,z) \ u,a(x,y,z)) * (w * (u / a(x,y,z))) = u * T(a(x,y,z) \ w,a(x,y,z) \ u). [para(17685(a,1),18784(a,2,2))]. 19003 (R(x,y,y \ 1) * T(z,R(x,y,y \ 1))) / (x * a(x,y,y \ 1)) = L(z,a(x,y,y \ 1),x). [para(689(a,1),18839(a,1,1,2,2))]. 19004 (x * R(y,z,z \ 1)) / (y * a(y,z,z \ 1)) = L(x,a(y,z,z \ 1),y). [para(119(a,1),19003(a,1,1))]. 19005 (x * R(y,z,z \ 1)) / R(y,z,z \ 1) = L(x,a(y,z,z \ 1),y). [para(689(a,1),19004(a,1,2))]. 19006 L(x,a(y,z,z \ 1),y) = x. [hyper(304,a,19005,a),flip(a)]. 19008 L(x,a(y,z \ 1,z),y) = x. [para(11929(a,1),19006(a,1,2))]. 19009 ((x * (a(x,y \ 1,y) * x)) / x) \ (L(x,a(x,y \ 1,y),x) * z) = a(x,y \ 1,y) \ z. [hyper(236,a,13500,a,b,19008,a(flip)),flip(a)]. 19010 ((x * (x * a(x,y \ 1,y))) / x) \ (L(x,a(x,y \ 1,y),x) * z) = a(x,y \ 1,y) \ z. [para(12748(a,1),19009(a,1,1,1,2))]. 19011 ((x * R(x,y \ 1,y)) / x) \ (L(x,a(x,y \ 1,y),x) * z) = a(x,y \ 1,y) \ z. [para(3627(a,1),19010(a,1,1,1,2))]. 19012 R(x,y \ 1,y) \ (L(x,a(x,y \ 1,y),x) * z) = a(x,y \ 1,y) \ z. [para(626(a,1),19011(a,1,1))]. 19013 R(x,y \ 1,y) \ (x * z) = a(x,y \ 1,y) \ z. [para(13851(a,1),19012(a,1,2,1))]. 19014 x * (R(x,y \ 1,y) \ z) = a(x,y \ 1,y) \ z. [hyper(1510,a,19013,a)]. 19015 L(x \ 1,x,y * (x \ 1)) = a(y,x \ 1,x) \ (1 / x). [hyper(236,a,3852,a(flip),b,19014,a(flip)),flip(a)]. 19016 (1 / x) \ L(x \ 1,x,y * (x \ 1)) = a(y,x \ 1,x) \ 1. [hyper(72,a,19015,a,b,18900,a)]. 19017 L(x \ 1,x,y * (x \ 1)) * x = a(y,x \ 1,x) \ 1. [hyper(1064,a,19016,a)]. 19018 a(x / T(y,y \ 1),(y \ 1) \ 1,y \ 1) \ 1 = L((y \ 1) \ 1,y \ 1,x) * (y \ 1). [para(313(a,1),19017(a,1,1,3)),flip(a)]. 19019 K(L(x \ 1,x,y * (x \ 1)),x) * ((a(y,x \ 1,x) \ 1) \ z) = (x * L(x \ 1,x,y * (x \ 1))) \ z. [para(19017(a,1),11048(a,1,2,1))]. 19020 a(x / T(y,y \ 1),(y \ 1) \ 1,y \ 1) \ 1 = y \ L((y \ 1) \ 1,y \ 1,x). [hyper(236,a,15064,a(flip),b,19018,a)]. 19021 a(x / T(y,y \ 1),(y \ 1) \ 1,y \ 1) \ 1 = L(y,y \ 1,x) * (1 / y). [hyper(236,a,4760,a(flip),b,19020,a)]. 19022 a(x / T(y,y \ 1),y,y \ 1) \ 1 = L(y,y \ 1,x) * (1 / y). [para(10970(a,1),19021(a,1,1))]. 19023 a(T(x,x \ 1) \ y,x,x \ 1) \ 1 = L(x,x \ 1,y) * (1 / x). [para(15569(a,1),19022(a,1,1))]. 19024 a(x \ y,x,x \ 1) \ 1 = L(x,x \ 1,y) * (1 / x). [para(18916(a,1),19023(a,1,1))]. 19025 a(x / T((x \ y) \ 1,y),(x \ y) \ 1,((x \ y) \ 1) \ 1) \ 1 = L((x \ y) \ 1,((x \ y) \ 1) \ 1,x) * (1 / ((x \ y) \ 1)). [para(7113(a,2),19024(a,1,1,1))]. 19026 x * (L(y,y \ 1,z) * (1 / y)) = a(y \ z,y,y \ 1) \ x. [para(19024(a,1),18865(a,1,2))]. 19027 (L(x,x \ 1,y) * (1 / x)) \ z = z * a(x \ y,x,x \ 1). [para(19024(a,1),18887(a,1,1))]. 19028 (1 / x) * ((1 / x) * L(x,x \ 1,y)) = a(x \ y,x,x \ 1) \ (x \ 1). [hyper(236,a,4773,a,b,19026,a(flip)),flip(a)]. 19029 (x * a(y \ z,y,y \ 1)) * K(L(y,y \ 1,z),1 / y) = x / ((1 / y) * L(y,y \ 1,z)). [para(19027(a,1),15080(a,1,1))]. 19030 a(x \ y,x,x \ 1) \ (x \ 1) = (1 / x) * (x \ L(x,x \ 1,y)). [para(4767(a,1),19028(a,1,2)),flip(a)]. 19031 ((1 / x) * (x \ L(x,x \ 1,y))) \ (x \ 1) = a(x \ y,x,x \ 1). [para(19030(a,1),13891(a,1,1))]. 19032 (x * a(y \ z,y,y \ 1)) * K(L(y,y \ 1,z),y \ 1) = x / ((1 / y) * L(y,y \ 1,z)). [para(5223(a,1),19029(a,1,2))]. 19033 x * (a(y \ z,y,y \ 1) * K(y,y \ 1)) = x / ((1 / y) * L(y,y \ 1,z)). [hyper(5823,a,19032,a)]. 19034 ((x * ((x \ y) * ((x \ y) \ 1))) \ (y * ((x \ y) \ 1))) * z = ((y * ((x \ y) \ 1)) \ x) \ z. [para(506(a,1),18893(a,2,1,1))]. 19035 ((x * ((y \ x) \ 1)) \ y) \ z = (y \ (x * ((y \ x) \ 1))) * z. [para(56(a,1),19034(a,1,1,1)),flip(a)]. 19036 (x \ (y * ((x \ y) \ 1))) \ 1 = (y * ((x \ y) \ 1)) \ x. [hyper(424,a,19035,a)]. 19037 ((x \ (y * ((x \ y) \ 1))) * z) \ z = (y * ((x \ y) \ 1)) \ x. [hyper(236,a,18877,a,b,19036,a(flip)),flip(a)]. 19038 (x \ (y * ((x \ y) \ 1))) \ z = z * ((y * ((x \ y) \ 1)) \ x). [para(19036(a,1),18876(a,1,2)),flip(a)]. 19039 x / (y \ (z * ((y \ z) \ 1))) = x * ((z * ((y \ z) \ 1)) \ y). [hyper(236,a,13901,a,b,19038,a(flip)),flip(a)]. 19040 x * ((y * (((y / z) \ y) \ 1)) \ (y / z)) = ((y / z) \ (y * (z \ 1))) \ x. [para(65(a,1),19038(a,1,1,2,2,1)),flip(a)]. 19041 (x * (y \ (z * ((y \ z) \ 1)))) \ x = (z * ((y \ z) \ 1)) \ y. [hyper(516,a,19039,a)]. 19042 (x * (((x / y) \ x) \ 1)) \ (x / y) = (z * ((x / y) \ (x * (y \ 1)))) \ z. [para(65(a,1),19041(a,1,1,2,2,2,1)),flip(a)]. 19043 (((x \ y) * x) * (((x \ y) \ ((x \ y) * x)) \ 1)) \ (x \ y) = (z * ((y / x) \ (y * (((x \ y) \ ((x \ y) * x)) \ 1)))) \ z. [para(11104(a,1),19041(a,1,1,2)),flip(a)]. 19044 ((x / y) \ (x * (y \ 1))) \ z = z * ((x * (y \ 1)) \ (x / y)). [para(65(a,1),19040(a,1,2,1,2,1)),flip(a)]. 19045 (x * (((x / y) \ x) \ 1)) \ (x / y) = (z * ((y \ x) \ (((y \ x) * y) * (y \ 1)))) \ z. [para(11104(a,2),19042(a,2,1,2))]. 19046 (x * a(y \ z,y,y \ 1)) \ x = (z * (((z / y) \ z) \ 1)) \ (z / y). [para(157(a,1),19045(a,2,1,2)),flip(a)]. 19047 a(x \ y,x,x \ 1) \ 1 = (y * (((y / x) \ y) \ 1)) \ (y / x). [hyper(14514,a,19046,a)]. 19048 a(x \ y,x,x \ 1) \ 1 = (y * (x \ 1)) \ (y / x). [para(65(a,1),19047(a,2,1,2,1))]. 19049 (x * (y \ 1)) \ (x / y) = L(y,y \ 1,x) * (1 / y). [hyper(236,a,19024,a(flip),b,19048,a(flip))]. 19050 T((x * (y \ 1)) / (x / y),L(y,y \ 1,x) * (1 / y)) = (((x * (y \ 1)) / (x / y)) \ 1) \ 1. [para(19049(a,1),2582(a,1,2))]. 19051 ((x * (1 / y)) \ x) * (1 / y) = (x * (y \ 1)) \ (x / y). [para(2767(a,1),19049(a,2,1)),flip(a)]. 19052 (x * (y \ 1)) \ (x / y) = y \ ((x * (y \ 1)) \ x). [hyper(236,a,3105,a(flip),b,19051,a(flip))]. 19053 T((x / y) \ (x * (y \ 1)),L(y,y \ 1,x) * (1 / y)) = (((x * (y \ 1)) / (x / y)) \ 1) \ 1. [para(3706(a,1),19050(a,1,1))]. 19054 T((x / y) \ (x * (y \ 1)),y \ L(y,y \ 1,x)) = (((x * (y \ 1)) / (x / y)) \ 1) \ 1. [hyper(236,a,4511,a(flip),b,19053,a(flip)),flip(a)]. 19055 (((x * (y \ 1)) / (x / y)) \ 1) \ 1 = (x / y) \ (x * (y \ 1)). [hyper(236,a,13736,a(flip),b,19054,a(flip))]. 19057 (((x / y) \ (x * (y \ 1))) \ 1) \ 1 = (x / y) \ (x * (y \ 1)). [para(3706(a,1),19055(a,1,1,1))]. 19058 (1 * ((x * (y \ 1)) \ (x / y))) \ 1 = (x / y) \ (x * (y \ 1)). [para(19044(a,1),19057(a,1,1))]. 19059 (1 * (x \ ((y * (x \ 1)) \ y))) \ 1 = (y / x) \ (y * (x \ 1)). [para(19052(a,1),19058(a,1,1,2))]. 19060 (x \ ((y * (x \ 1)) \ y)) \ 1 = (y / x) \ (y * (x \ 1)). [para(11(a,1),19059(a,1,1))]. 19061 K(x * (T(y \ z,a(u,y,w)) * K(w,K(u,v5))),v6) = K(x * ((K(w,u) * y) \ (K(w,T(u,v5)) * z)),v6). [para(16775(a,1),18999(a,1,1,2))]. 19062 K(x,L(K(y,z) * (z / (u / w)),z * K(y,z),K(z,y) * (z \ u))) = K(x,(z * (K(y,z) * w)) / u). [para(5510(a,1),19001(a,1,2,3))]. 19063 a(x,y,K(z,u)) * (w * (u / a(z,y,x))) = u * T(a(z,y,x) \ w,a(z,y,x) \ u). [para(14796(a,1),19002(a,1,1))]. 19064 x * T(a(y,z,u) \ w,a(y,z,u) \ x) = w * (a(y,z,u) \ x). [hyper(17777,a,19063,a),flip(a)]. 19065 x * T(a(y,x,x \ 1) \ z,x) = z * (a(y,x,x \ 1) \ x). [para(18837(a,1),19064(a,1,2))]. 19066 (a(x,y,y \ 1) \ z) * y = z * (a(x,y,y \ 1) \ y). [hyper(220,a,19065,a)]. 19067 x * (a(y,T(z,x),T(z,x) \ 1) \ T(z,x)) = z * ((a(y,T(z,x),T(z,x) \ 1) * z) \ (z * x)). [hyper(236,a,18794,a(flip),b,19066,a(flip))]. 19068 x * (a(y,T(z,x),T(z,x) \ 1) \ T(z,x)) = z * ((a(y,z,z \ 1) * z) \ (z * x)). [para(10221(a,1),19067(a,2,2,1,1))]. 19070 x * (a(y,T(z,x),T(z,x) \ 1) \ T(z,x)) = z * ((z * a(y,z,z \ 1)) \ (z * x)). [para(13894(a,1),19068(a,2,2,1))]. 19071 K(x * T(y \ z,a(u,y,w)),v5) = K(x * ((K(w,u) * y) \ (K(w,T(u,v6)) * z)),v5). [hyper(16692,a,19061,a)]. 19072 K(x * ((K(y,z) * u) \ (K(y,T(z,w)) * v5)),v6) = K(x * (u \ v5),v6). [hyper(18101,a,19071,a),flip(a)]. 19073 K(x * ((K(y,z) * u) \ (K(y,z) * w)),v5) = K(x * (u \ w),v5). [para(118(a,1),19072(a,1,1,2,2,1,2))]. 19074 K(x * (T(y,K(z,u)) \ (K(u,z) * w)),v5) = K(x * ((y * K(z,u)) \ w),v5). [para(5269(a,1),19073(a,1,1,2,1))]. 19075 K(x * ((y * K(z,u)) \ w),v5) != v6 | K(x * (y \ (K(u,z) * w)),v5) = v6. [para(19074(a,1),16758(a,1))]. 19076 K((x \ y) \ (x \ T(y,z)),u \ ((x \ T(y,z)) \ (x \ y))) = K(y,K(z,T(y,z) \ (x * (u \ (x \ y))))). [hyper(236,a,17752,a(flip),b,17941,a)]. 19077 K(x * (y \ ((z * u) * ((u * z) \ w))),v5) = K(x * ((K(z,u) * w) / T(y,w)),v5). [hyper(18952,a,18629,a),flip(a)]. 19078 K(x * ((K(y,z) * u) / T(w,u)),v5) = K(x * (w \ (K(y,z) * u)),v5). [para(11069(a,1),19077(a,1,1,2,2)),flip(a)]. 19079 K(x * (K(y,z) * (u / T(w,u))),v5) = K(x * (w \ (K(y,z) * u)),v5). [hyper(236,a,18379,a(flip),b,19078,a(flip)),flip(a)]. 19080 K(x * (y \ (K(z,u) * w)),v5) = K(x * (K(z,u) * (y \ w)),v5). [hyper(236,a,18958,a(flip),b,19079,a(flip))]. 19081 K((x \ y) \ (x \ T(y,z)),u \ ((x \ T(y,z)) \ (x \ y))) = K(y,K(z,y \ (x * (u \ (x \ y))))). [hyper(236,a,17026,a(flip),b,19076,a)]. 19083 K((x \ y) \ (x \ T(y,z)),u \ ((x \ T(y,z)) \ (x \ y))) = K(y,K(z,x * (u \ (x \ y)))). [hyper(236,a,9203,a(flip),b,19081,a)]. 19084 K(K(x,y),z \ ((u \ T(x,y)) \ (u \ x))) = K(x,K(y,u * (z \ (u \ x)))). [para(14436(a,1),19083(a,1,1))]. 19085 K(K(x,y),z \ K(y,x)) = K(x,K(y,u * (z \ (u \ x)))). [para(14431(a,1),19084(a,1,2,2))]. 19087 K(x,K(y,z \ K(y,x))) = K(x,K(y,u * (z \ (u \ x)))). [hyper(8011,a,19085,a)]. 19089 K(x,K(y,z * (u \ (z \ x)))) = K(x,K(y,u)). [hyper(17088,a,19087,a),flip(a)]. 19090 K(x,L(T(y,z \ u),u,z)) * K(u,K(x,y)) = K(x,u / (z * (y \ (z \ u)))). [para(19089(a,1),15074(a,1,2))]. 19091 K(x,L(T(y,z \ u),u,z)) * K(u,K(y,x)) = K(x,u / (z * (y \ (z \ u)))). [para(7937(a,1),19090(a,1,2))]. 19093 L(K(x,T(y,z \ u)) * K(u,K(y,x)),u,z) = K(x,u / (z * (y \ (z \ u)))). [hyper(236,a,18691,a,b,19091,a(flip)),flip(a)]. 19094 L(T(K(x,y) * K(z,K(y,x)),u \ z),z,u) = K(x,z / (u * (y \ (u \ z)))). [para(16776(a,2),19093(a,1,1))]. 19095 L(T(K(x,T(y,z)),u \ z),z,u) = K(x,z / (u * (y \ (u \ z)))). [para(7266(a,1),19094(a,1,1,1))]. 19096 L(K(x,T(T(y,z),u \ z)),z,u) = K(x,z / (u * (y \ (u \ z)))). [para(7256(a,2),19095(a,1,1))]. 19097 K(x,L(T(T(y,z),u \ z),z,u)) = K(x,z / (u * (y \ (u \ z)))). [hyper(11589,a,19096,a)]. 19098 K(x,L(T(T(y,z),u * z),z,u)) = K(x,z / (u * (y \ (u \ z)))). [hyper(236,a,16546,a(flip),b,19097,a(flip)),flip(a)]. 19099 K(x,L((y * K(L(z,u,w \ 1),v5)) / (w \ u),y,K(v5,L(z,u,w \ 1)))) = K(x,y / (w \ (u * K(v5,z)))). [para(7547(a,1),18818(a,1,2,1,1))]. 19100 K((x \ (y * a(z,u,K(w,v5)))) \ 1,v6) = x \ (y * T(y \ x,v6)). [para(17793(a,1),18941(a,1,2,2,1)),flip(a)]. 19101 K((x \ (y * a(z,u,K(w,v5)))) \ 1,v6) = K((x \ y) \ 1,v6). [hyper(236,a,5150,a(flip),b,19100,a)]. 19103 K((T(x,y) \ y) \ 1,z) = K(((y * a(u,w,K(v5,v6))) / x) \ 1,z). [hyper(236,a,18057,a(flip),b,19101,a(flip))]. 19105 K(((x * a(y,z,K(u,w))) / v5) \ 1,v6) = K((x / v5) \ 1,v6). [hyper(236,a,13320,a(flip),b,19103,a(flip))]. 19106 K(x / (y * a(z,u,K(w,v5))),v6) = K((y / x) \ 1,v6). [hyper(5825,a,19105,a)]. 19107 K(x / (y * a(z,u,K(w,v5))),v6) = K(x / y,v6). [hyper(236,a,5699,a(flip),b,19106,a)]. 19108 K(x / (L(K(y,z),u,w) * v5),v6) = K(x / (K(y,z) * v5),v6). [para(17981(a,1),19107(a,1,1,2))]. 19109 K(x \ (L(K(y,z),u,w) * v5),v6) = K(((x \ v5) * x) / (K(z,y) * x),v6). [hyper(236,a,18733,a(flip),b,19108,a(flip)),flip(a)]. 19111 K(x \ (L(K(y,z),u,w) * v5),v6) = K(x \ (K(y,z) * (x * (x \ v5))),v6). [hyper(236,a,17901,a(flip),b,19109,a)]. 19112 K(x \ (L(K(y,z),u,w) * v5),v6) = K(x \ (K(y,z) * v5),v6). [para(14(a,1),19111(a,2,1,2,2))]. 19113 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(236,a,17902,a,b,19112,a(flip)),flip(a)]. 19116 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(236,a,17859,a(flip),b,19113,a)]. 19117 K(x \ ((K(y,z) * L(K(y,z) \ 1,u,w)) * v5),v6) = K(x \ v5,v6). [para(5268(a,1),19116(a,2,1,2))]. 19118 K(x \ ((K(y,z) * L(K(z,y),u,w)) * v5),v6) = K(x \ v5,v6). [para(5093(a,1),19117(a,1,1,2,1,2,1))]. 19119 K(x \ (a(y,z,K(u,w)) * v5),v6) = K(x \ v5,v6). [para(10174(a,1),19118(a,1,1,2,1))]. 19120 K(x \ ((y * z) * K(u,w)),v5) = K(x \ (y * (z * K(u,w))),v5). [para(14980(a,1),19119(a,1,1,2))]. 19121 K((x * K(y,z)) \ (x * (u * K(y,z))),w) = K(u,w). [hyper(18367,a,19120,a),flip(a)]. 19122 K(L(T(x,K(y,z)),K(y,z),u),w) = K(x,w). [para(178(a,1),19121(a,1,1))]. 19123 K(L(x,K(y,z),u),T(w,K(y,z))) = K(x,w). [hyper(7825,a,19122,a)]. 19124 K(L(x,K(y,z),u),w) = K(x,w). [hyper(16173,a,19123,a)]. 19125 K((x * K(y,z)) \ u,w) = K((x \ u) * K(z,y),w). [hyper(16593,a,19124,a)]. 19126 K(x,L(y,K(z,u),w)) = K(x,y). [hyper(11595,a,19124,a)]. 19127 L(K(x,y),K(z,u),w) = K(x,y). [hyper(11554,a,19124,a)]. 19131 a(x,K(y,z),K(u,w)) = 1. [hyper(73,a,19124,a,b,14324,a),flip(a)]. 19135 (x * K(y,z)) * K(u,w) = x * (K(y,z) * K(u,w)). [para(19124(a,1),11556(a,1,2))]. 19138 K(x,T(T(y,z),z)) = K(x,L(y,K(u,w),v5)). [hyper(236,a,8051,a,b,19126,a),flip(a)]. 19140 K(x,(y * K(z,u)) \ w) = K(x,K(z,u) \ (y \ w)). [hyper(236,a,18805,a(flip),b,19126,a(flip))]. 19141 K(x,(y / z) / K(u,w)) = K(x,y / (K(u,w) * z)). [hyper(236,a,15354,a(flip),b,19126,a(flip))]. 19142 K(x,(y * K(z,u)) \ w) = K(x,K(u,z) * (y \ w)). [para(5277(a,1),19126(a,1,2))]. 19143 K(x,L(y,z,L(u,K(w,v5),v6))) = K(x,y) * a(y,z,K(x,u)). [para(19126(a,1),14018(a,1,2,3)),flip(a)]. 19145 (K(x,y) * K(z,u)) / w = K(x,y) * (K(z,u) / w). [para(19126(a,1),15478(a,1,1,1))]. 19147 K(x,y / (K(z,u) * w)) = K(x,(y / w) * K(u,z)). [para(18656(a,1),19126(a,1,2))]. 19148 x \ (K(y,z) * K(u,w)) = (x \ K(y,z)) * K(u,w). [para(19126(a,1),18813(a,1,2)),flip(a)]. 19151 K(x,T((y / z) / K(u,w),v5)) = K(x,T(y / (K(u,w) * z),v5)). [hyper(236,a,15574,a(flip),b,19127,a(flip))]. 19158 K(x,L(y,K(z,u),w)) != v5 | K(x,y) = v5. [para(19138(a,1),8174(a,1))]. 19159 K(x,(y * K(z,u)) \ w) != v5 | K(x,K(u,z) * (y \ w)) = v5. [para(5277(a,1),19158(a,1,2))]. 19162 K(L(x,K(y,z),u),w) != v5 | K(x,w) = v5. [para(11533(a,2),19158(a,1))]. 19163 K(x,y \ (z * K(u,w))) != v5 | K(x,(z \ y) \ K(u,w)) = v5. [para(11485(a,1),19158(a,1))]. 19164 K((x * K(y,z)) \ u,w) != v5 | K(K(z,y) * (x \ u),w) = v5. [para(5277(a,1),19162(a,1,1))]. 19165 K(x / (K(y,z) * u),w) != v5 | K((x / u) * K(z,y),w) = v5. [para(18656(a,1),19162(a,1,1))]. 19166 K((x * K(y,z)) \ u,w) = K(K(y,z) * (x \ u),w). [hyper(236,a,16266,a,b,19125,a)]. 19167 K(((x \ 1) * K(y,z)) \ u,w) = K(((1 / x) \ u) * K(z,y),w). [hyper(236,a,5740,a(flip),b,19125,a(flip)),flip(a)]. 19168 K(((x * y) \ z) * K(u,y),w) = K((x * T(y,u)) \ z,w). [para(6201(a,1),19125(a,1,1,1)),flip(a)]. 19169 K((x * ((y * z) / y)) \ u,w) = K(((x * z) \ u) * K(z,y),w). [para(7545(a,1),19125(a,1,1,1))]. 19170 K(((x \ 1) \ y) * K(z,u),w) = K((x \ K(u,z)) \ y,w). [para(14046(a,1),19125(a,1,1,1)),flip(a)]. 19171 L(x,K(y,z),K(u,w)) = x. [hyper(15614,a,19135,a)]. 19174 (x * K(y,z)) * K(u,w) = x * (K(u,w) * K(y,z)). [para(16165(a,1),19135(a,2,2))]. 19176 L(x,K(y,z),T(u,w)) = L(x,K(y,z),u). [hyper(236,a,14764,a(flip),b,19171,a(flip)),flip(a)]. 19177 T(x,L(y,K(z,u),w)) = T(x,y). [hyper(236,a,14677,a(flip),b,19171,a(flip)),flip(a)]. 19187 T(x,(y * K(z,u)) \ w) = T(x,K(u,z) * (y \ w)). [para(5277(a,1),19177(a,1,2))]. 19188 T(x,y / (K(z,u) * w)) = T(x,(y / w) * K(u,z)). [para(18656(a,1),19177(a,1,2))]. 19189 L(x,K(y,z),u / w) = L(x,K(y,z),w \ u). [hyper(236,a,13541,a(flip),b,19176,a(flip)),flip(a)]. 19190 L(x \ L(x,K(y,z),u),x,T(u * K(y,T(z,w * u)),w)) = a(x,K(y,z),T(u,w)). [para(19176(a,1),18660(a,1,1,2))]. 19191 ((x \ (x / y)) * x) * ((z \ L(K(x,y \ 1) * z,K(y \ 1,x),y \ x)) * z) = (x / y) * (z * K(K(y \ 1,x) \ 1,z)). [para(19189(a,1),12220(a,1,2,1,2))]. 19192 K(x,K(y,T(z,u)) \ (w \ v5)) = K(x,w \ (K(y,T(z,u)) \ v5)). [hyper(236,a,18998,a(flip),b,19140,a(flip))]. 19193 K(x,(y / z) / K(u,w)) = K(x,y / (K(w,u) \ z)). [para(5260(a,2),19141(a,2,2,2))]. 19194 K(x,(K(y,z) * u) \ w) = K(x,K(z,y) * (u \ w)). [hyper(16675,a,19142,a)]. 19195 K(x,y \ (z * K(u,w))) = K(x,K(u,w) * (y \ z)). [hyper(236,a,17903,a(flip),b,19142,a(flip)),flip(a)]. 19196 x * K(y * K(z,u),K(u,z) * (y \ x)) != w | (y * K(z,u)) * (x / (y * K(z,u))) = w. [para(19142(a,1),5323(a,1,2))]. 19197 K(x,K(y,z) * ((u * z) \ w)) = K(x,(u * T(z,y)) \ w). [para(6201(a,1),19142(a,1,2,1)),flip(a)]. 19198 K(x,K(y,z) * ((u / y) \ w)) = K(x,(u / T(y,z)) \ w). [para(7555(a,1),19142(a,1,2,1)),flip(a)]. 19199 K(x,y * ((z * K(u,w)) \ v5)) * K(x,K(y,K(w,u) * (z \ v5))) = K(x,((z * K(u,w)) \ v5) * y). [para(19142(a,1),13242(a,1,2,2))]. 19200 K(x,K(y,z) * ((u \ z) \ w)) = K(x,(u \ T(z,y)) \ w). [para(14432(a,1),19142(a,1,2,1)),flip(a)]. 19201 K(x,y) * (K(z \ 1,u) / (a(K(x,y) * z,w,w \ 1) \ T(z \ 1,u))) = R(K(x,y) * z,w,w \ 1). [hyper(236,a,18844,a(flip),b,19145,a(flip))]. 19202 K(x,y / (z * K(u,w))) = K(x,(y / z) * K(w,u)). [hyper(16687,a,19147,a)]. 19203 K(x,(y / z) * K(u,w)) = K(x,y * (z \ K(u,w))). [hyper(236,a,14541,a(flip),b,19147,a(flip))]. 19204 K((K(x,y) * z) \ u,w) = K(K(x,y) * (z \ u),w). [hyper(16684,a,19166,a)]. 19206 K(K(x,x \ y) * ((z * y) \ u),w) = K((z * (x * (y / x))) \ u,w). [para(10662(a,1),19166(a,1,1,1)),flip(a)]. 19207 (K(x,y) / z) \ K(u,w) = z * (K(u,w) * K(y,x)). [hyper(14296,a,19174,a)]. 19211 x * (K(y,x \ z) * K(z \ x,x \ z)) = z * ((((z \ x) \ 1) \ 1) * K(y,1 \ ((z \ x) \ 1))). [hyper(236,a,11885,a(flip),b,19174,a(flip))]. 19216 L(x * (K(y,z) * K(u,u \ K(z,y))),K(z,y),K(u \ K(z,y),u)) = x / ((u \ K(z,y)) * u). [para(19174(a,1),18748(a,1,1))]. 19217 K(x * ((y * K(z,u)) \ w),T(v5,K(u,z) * (y \ w))) = K(((K(z,u) * y) \ w) * x,v5). [para(19187(a,1),18729(a,1,2))]. 19218 T(x,(y / z) * K(u,T(w,z))) = T(x,y / (z * K(w,u))). [para(8092(a,1),19188(a,1,2,2)),flip(a)]. 19219 K(x,y / (K(z,u) \ w)) = K(x,K(u,z) \ (y / w)). [hyper(16236,a,19193,a),flip(a)]. 19220 K(x,y \ (K(z,u) * w)) = K(x,K(z,u) * (y \ w)). [hyper(17780,a,19194,a)]. 19221 K(x,K(y,z) * ((u \ 1) \ w)) = K(x,(u * K(y,z)) * w). [hyper(14617,a,19194,a),flip(a)]. 19222 K(x,K(y \ z,y) * (u \ (z / y))) = K(x,((y \ z) \ u) \ 1). [hyper(6463,a,19194,a),flip(a)]. 19223 K(x,(y \ K(z,u)) * w) = K(x,K(z,u) * (y \ w)). [hyper(236,a,14520,a(flip),b,19194,a(flip)),flip(a)]. 19224 K(x,K(y,z) * ((z * u) \ w)) = K(x,(T(z,y) * u) \ w). [para(4906(a,1),19194(a,1,2,1)),flip(a)]. 19225 K(x,K(y,z) * ((K(y,z) * u) \ w)) = K(x,u \ w). [para(5268(a,1),19194(a,1,2,1)),flip(a)]. 19226 K(x,K(y,z) * ((y \ u) \ w)) = K(x,(T(y,z) \ u) \ w). [para(5204(a,1),19194(a,1,2,1)),flip(a)]. 19227 K(x,((y / (y / z)) \ u) \ w) = K(x,K(z \ y,z) * ((z \ u) \ w)). [para(5509(a,2),19194(a,1,2,1))]. 19230 K(x,K(y,z) * ((u \ 1) \ w)) = K(x,u * (w * K(y,z))). [hyper(14234,a,19195,a),flip(a)]. 19231 K(x,((y * (z / y)) \ u) \ T(w,K(y \ z,y))) = K(x,K(y,y \ z) * ((z \ u) \ w)). [hyper(236,a,17729,a,b,19195,a(flip)),flip(a)]. 19232 K(x,K(y,z) * (u \ (w * y))) = K(x,u \ (w * T(y,z))). [para(6201(a,1),19195(a,1,2,2)),flip(a)]. 19233 K(x,y \ T(z * K(u,w),u)) = K(x,K(u,w) * (y \ T(z,u))). [para(7133(a,2),19195(a,1,2,2))]. 19234 K(x,K(y,z) * (u \ (w / z))) = K(x,u \ (w / T(z,y))). [para(7555(a,1),19195(a,1,2,2)),flip(a)]. 19235 K(x,K(y \ z,y) * (u \ (w * z))) = K(x,u \ (w * ((y \ z) * y))). [para(10659(a,1),19195(a,1,2,2)),flip(a)]. 19236 K(x,K(y,z) * ((u \ 1) \ w)) != v5 | K(x,u * (w * K(y,z))) = v5. [para(19195(a,1),14234(a,1))]. 19237 K(x,K(y,z) * (u \ (w \ y))) = K(x,u \ (w \ T(y,z))). [para(14432(a,1),19195(a,1,2,2)),flip(a)]. 19238 K(x,K(y,z) * (u / w)) = K(x,u * (w \ K(y,z))). [hyper(16182,a,19203,a)]. 19239 K(x,y * (K(z,u) * (w \ 1))) = K(x,(y / w) * K(z,u)). [hyper(236,a,16646,a,b,19203,a),flip(a)]. 19240 K(x,y * (z \ K(u,y * u))) = K(x,T(y,u) / z). [hyper(236,a,16876,a(flip),b,19203,a(flip))]. 19241 K(x,(y * z) * (z \ K(u,w))) = K(x,y * K(u,w)). [para(15(a,1),19203(a,1,2,1)),flip(a)]. 19242 K(x,y * (z \ K(u,w))) != v5 | K(x,K(u,w) * (y / z)) = v5. [para(19203(a,1),16182(a,1))]. 19243 K(K(x,y) * ((y \ z) \ u),w) = K((T(y,x) \ z) \ u,w). [para(5204(a,1),19204(a,1,1,1)),flip(a)]. 19244 K(K(x,y) * ((x / z) \ u),w) = K((T(x,y) / z) \ u,w). [para(14465(a,1),19204(a,1,1,1)),flip(a)]. 19245 K((K(x,y) * z) \ u,w) != v5 | K((z \ u) * K(y,x),w) = v5. [para(19204(a,2),16274(a,1))]. 19246 K(x,T(y \ z,K(u,w) \ y)) = K(x,K(w,u) \ ((K(u,w) \ z) / y)). [hyper(236,a,18393,a,b,19219,a(flip)),flip(a)]. 19248 K(x,K(y,z) * (u \ (y * w))) = K(x,u \ (T(y,z) * w)). [para(4906(a,1),19220(a,1,2,2)),flip(a)]. 19249 K(x,K(y,z) * (u \ (z \ w))) = K(x,u \ (T(z,y) \ w)). [para(5204(a,1),19220(a,1,2,2)),flip(a)]. 19250 K(x,K(y,y \ z) * (u \ (z \ w))) = K(x,u \ (((y \ z) * y) \ w)). [para(11060(a,1),19220(a,1,2,2)),flip(a)]. 19251 K(x,K(y,L(z,u,w)) * (v5 \ (u * w))) = K(x,v5 \ ((K(y,z) * u) * w)). [para(15367(a,1),19220(a,1,2,2)),flip(a)]. 19252 K(x,(y \ K(z,u)) * w) = K(x,K(u,z) * (y \ w)). [hyper(236,a,15675,a,b,19223,a)]. 19253 x * K(x,K(y,z) * (u \ w)) = T(x,(u \ K(y,z)) * w). [para(19223(a,1),4887(a,2,2)),flip(a)]. 19254 x / (K(y,K(z,u) * (w \ v5)) * x) = K((w \ K(z,u)) * v5,y). [para(19223(a,1),5266(a,1,2,1))]. 19255 K(x,K(y,a(z,u,w) \ (y \ v5)) * ((a(z,u,w) \ (v5 / y)) \ v6)) = K(x,((a(z,u,w) * y) \ v5) \ v6). [para(18901(a,1),19225(a,1,2,2,1))]. 19256 K(x,y * (z \ K(z,u))) = K(x,y / T(z,u)). [hyper(16414,a,19238,a),flip(a)]. 19257 K(x,K(y,z) * (u / (w * z))) = K(x,u / (w * T(z,y))). [hyper(236,a,16794,a(flip),b,19238,a)]. 19258 K(x,K(y,z) * (u / (w \ 1))) = K(x,u * (w * K(y,z))). [hyper(236,a,14161,a(flip),b,19238,a)]. 19259 K(x,y * (z \ K(u,w))) != v5 | K(x,(y / z) * K(u,w)) = v5. [para(19238(a,1),16181(a,1))]. 19260 K(x,y * (z \ K(z,u))) != w | K(x,y / T(z,u)) = w. [para(19238(a,1),16414(a,1))]. 19261 K(x,T(y,z \ 1) / u) = K(x,T(y,z) / u). [hyper(236,a,18527,a(flip),b,19240,a(flip)),flip(a)]. 19262 K(x,T(y,z \ (u \ z)) / w) = K(x,T(y,u) / w). [hyper(236,a,16715,a,b,19261,a(flip)),flip(a)]. 19263 K(x,K(y,z \ 1) * (z \ u)) = K(x,T(z \ 1,y) * u). [para(4834(a,1),19252(a,1,2,1)),flip(a)]. 19264 K(x,(y \ K(z,u)) * w) != v5 | K(x,K(z,u) * (y \ w)) = v5. [para(19252(a,2),15676(a,1))]. 19265 K(x,y * (((1 / z) \ u) \ K(z * u,w))) != v5 | K(x,y / T((1 / z) \ u,w)) = v5. [para(14110(a,1),19260(a,1,2,2,2))]. 19268 K(K(x,y) * ((z * y) \ u),w) = K((z * T(y,x)) \ u,w). [hyper(16184,a,19168,a)]. 19269 K(((x * y) \ z) * K(y,u),w) = K((x * T(y,u)) \ z,w). [hyper(15706,a,19168,a)]. 19270 K(x,K(y,z) * ((u * y) \ w)) = K(x,(u * T(y,z)) \ w). [hyper(15676,a,19197,a)]. 19271 K(x,K(y,T(z,u)) * ((w * y) \ v5)) = K(x,(w * T(y,z)) \ v5). [hyper(236,a,16700,a,b,19197,a(flip)),flip(a)]. 19272 K(x,((y / z) \ u) * K(w,z)) = K(x,(y / T(z,w)) \ u). [hyper(16361,a,19198,a)]. 19273 K(x,K(y,z) * ((u / z) \ w)) = K(x,(u / T(z,y)) \ w). [hyper(15676,a,19198,a)]. 19274 K(x,((y \ z) \ u) * K(w,z)) = K(x,(y \ T(z,w)) \ u). [hyper(16181,a,19200,a)]. 19275 K(x,K(y,T(z,u)) * ((w \ z) \ v5)) = K(x,(w \ T(z,y)) \ v5). [hyper(236,a,16634,a,b,19200,a(flip)),flip(a)]. 19276 T(x,y / (z * K(u,w))) = T(x,K(u,w) * (y / z)). [hyper(16763,a,19218,a),flip(a)]. 19278 T(x,(y * K(z,u)) / w) = T(x,K(u,z) * (y / w)). [hyper(236,a,17707,a,b,19276,a(flip)),flip(a)]. 19279 T(x,(y * K(z \ 1,u)) / w) = T(x,K(u,z) * (y / w)). [hyper(236,a,18442,a(flip),b,19278,a)]. 19280 K(x,((y * z) \ u) * K(y,w)) = K(x,(T(y,w) * z) \ u). [hyper(16361,a,19224,a)]. 19281 K(x,K(y,z) * ((y * u) \ w)) = K(x,(T(y,z) * u) \ w). [hyper(15676,a,19224,a)]. 19282 K(x,((y \ z) \ u) * K(w,y)) = K(x,(T(y,w) \ z) \ u). [hyper(16361,a,19226,a)]. 19283 K(x,((y \ z) \ u) * K(y,w)) = K(x,(T(y,w) \ z) \ u). [hyper(16181,a,19226,a)]. 19284 K(x,K(y,z) * ((z \ u) \ w)) = K(x,(T(z,y) \ u) \ w). [hyper(15676,a,19226,a)]. 19285 K(x,(y * K(z,u)) * w) = K(x,y * (w * K(z,u))). [hyper(236,a,19221,a(flip),b,19230,a(flip)),flip(a)]. 19286 K((x * y) \ ((x * K(z,u)) * y),(x * K(z,u)) * y) = K(K(z,L(T(u,x),x,y)),x * (y * K(z,u))). [hyper(15427,a,19285,a)]. 19287 K(x,(K(y,z) / u) \ w) = K(x,u * (w * K(z,y))). [hyper(14321,a,19285,a)]. 19288 K(x,(y \ K(z,u)) \ w) = K(x,y * (w * K(u,z))). [hyper(236,a,16766,a,b,19285,a(flip)),flip(a)]. 19289 K(x,(y \ z) * (u * K(z,w))) = K(x,(y \ T(z,w)) * u). [para(14432(a,1),19285(a,1,2,1)),flip(a)]. 19290 K(x,y) \ (a(x,z \ 1,K(y,z * (u * K(y,x)))) * u) = (1 / z) * ((K(x,y) * (1 / z)) \ u). [para(19287(a,1),19000(a,1,2,1,3))]. 19291 K(x,(y \ K(z,z * u)) \ w) = K(x,y * (w * K(z,u))). [hyper(236,a,18217,a(flip),b,19288,a)]. 19292 K(x,(y * z) \ (u * T(y,z))) = K(x,(z * y) \ (u * y)). [para(11048(a,1),19232(a,1,2)),flip(a)]. 19293 K(x,K(y,z) * (u \ (w \ z))) = K(x,u \ (w \ T(z,y))). [hyper(15676,a,19237,a)]. 19294 K(x,y \ (z \ T(u,z))) = K(x,y \ (u / z)). [hyper(236,a,16523,a(flip),b,19237,a(flip))]. 19295 K(x,y \ (z \ T(u,K(w,v5)))) != v6 | K(x,y \ (z \ u)) = v6. [para(19237(a,1),16624(a,1))]. 19296 K(x,(y / z) * K(u,w)) != v5 | K(x,y * (z \ K(u,w))) = v5. [para(19239(a,1),16731(a,1))]. 19297 K(K(x,y) * (((y * x) \ z) \ u),w) = K((T(y * x,x) \ z) \ u,w). [hyper(16433,a,19243,a)]. 19298 K(K(T(x,y),z) * ((T(x,y) / u) \ w),v5) = K((T(T(x,z),y) / u) \ w,v5). [para(38(a,1),19244(a,2,1,1,1))]. 19299 K(x,K(y,z) * (u \ (z * w))) = K(x,u \ (T(z,y) * w)). [hyper(15676,a,19248,a)]. 19300 K(x,K(y,z) * (u \ (y \ w))) = K(x,u \ (T(y,z) \ w)). [hyper(15676,a,19249,a)]. 19301 T(x,(y \ K(z,u)) * w) = T(x,K(z,u) * (y \ w)). [hyper(4890,a,19253,a),flip(a)]. 19302 K(x,T(y \ 1,z) * u) = K(x,K(z,y) * (y \ u)). [hyper(15835,a,19263,a),flip(a)]. 19303 K(x,T(y \ 1,z) * u) = K(x,T(y,z) \ u). [hyper(236,a,15690,a(flip),b,19302,a)]. 19304 K(x,T(y \ 1,z) \ u) = K(x,T(y,z) * u). [hyper(14382,a,19303,a),flip(a)]. 19305 K(x,y / T(z,u)) * K(x,K(y,z)) = K(x,T(z \ 1,u) * y). [hyper(236,a,16062,a,b,19303,a),flip(a)]. 19306 K(x,T(y,z \ 1) \ u) = K(x,T(y \ 1,z) * u). [hyper(236,a,18515,a(flip),b,19303,a(flip))]. 19307 K(x,(T(y,z) \ 1) \ u) = K(x,T(y \ 1,z) \ u). [hyper(236,a,14051,a,b,19304,a),flip(a)]. 19308 K(x,T(y,z \ 1) \ u) = K(x,T(y,z) \ u). [hyper(236,a,19303,a(flip),b,19306,a)]. 19309 K(x,T(L(y,z \ 1,z) / z,z) \ u) = K(x,((z * (y / z)) * (z \ 1)) \ u). [hyper(13224,a,19308,a),flip(a)]. 19310 K(x,T(y * (z \ 1),z) \ u) = K(x,((z \ 1) * y) \ u). [hyper(236,a,15764,a(flip),b,19308,a(flip))]. 19311 K(x,(T(y,z) \ 1) \ x) = K(x,T(y * x,z)). [hyper(236,a,14353,a(flip),b,19307,a)]. 19312 K(x,T(y * x,z)) = K(x,x * T(y,z)). [hyper(8504,a,19311,a),flip(a)]. 19313 K(x,T(x * y,z)) = K(x,x * T(y,z)). [hyper(13127,a,19312,a)]. 19314 K(x,T(x * (x \ (y * z)),x / z)) = K(x,(((x / z) \ y) * (x / z)) * z). [para(1417(a,2),19313(a,2,2))]. 19315 K(K(x \ 1,y * x) * ((z * y) \ u),w) = K((z * T(y,x \ 1)) \ u,w). [hyper(236,a,13427,a,b,19268,a(flip)),flip(a)]. 19316 K(x,(y * T(z,u)) \ (z * w)) = K(x,(y * z) \ (T(z,u) * w)). [hyper(236,a,19248,a(flip),b,19270,a(flip))]. 19317 K(x,K(y,T(z,u)) * ((w / z) \ v5)) = K(x,(w / T(z,T(y,u))) \ v5). [para(7260(a,1),19273(a,1,2,1))]. 19318 T(x,(y * K(z \ 1,u)) / z) = T(x,y / T(z,u)). [hyper(236,a,16145,a(flip),b,19279,a)]. 19319 T(x,y * T(z \ 1,u)) = T(x,y / T(z,u)). [hyper(236,a,14254,a(flip),b,19318,a(flip)),flip(a)]. 19320 (L(x \ 1,y,z) \ 1) \ T(L(x \ 1,y,z) \ 1,u / T(w,v5)) = T(K(x,L(u * T(w \ 1,v5),y,z)),L(x \ 1,y,z) \ 1). [hyper(394,a,19319,a(flip),b,11685,a),flip(a)]. 19321 T(x,y / T(1 / z,u)) = T(x,y * T(z,u)). [para(65(a,1),19319(a,1,2,2,1)),flip(a)]. 19322 K(x * T(y \ 1,z),u) = u / T(u,x / T(y,z)). [para(19319(a,1),4826(a,2,2))]. 19323 T(x,y / T(z \ 1,u)) = T(x,y * T(z,u)). [hyper(236,a,8994,a(flip),b,19321,a(flip)),flip(a)]. 19324 T(x,y / (((z * u) \ u) \ 1)) = T(x,y * T((u * z) \ u,u)). [para(11824(a,1),19323(a,1,2,2))]. 19325 K(x * T(y \ 1,z),u) = K(x / T(y,z),u). [hyper(236,a,4826,a,b,19322,a)]. 19326 K(x / T(y \ 1,z),u) = K(x * T(y,z),u). [hyper(5885,a,19325,a),flip(a)]. 19327 K(T(x \ 1,y) \ z,u) = K(z * T(x,y),T(u,x)). [hyper(16408,a,19326,a)]. 19328 K(T(x \ 1,y) \ z,u) = K(T(x,y) * z,u). [hyper(236,a,16202,a(flip),b,19327,a)]. 19329 K(T(x \ 1,y) * z,u) = K(T(x,y) \ z,u). [hyper(6071,a,19328,a),flip(a)]. 19330 K(T(x \ y,z) * u,T(y \ x,w)) = K((x \ y) * u,T(y \ x,w)). [hyper(236,a,15043,a(flip),b,19328,a(flip))]. 19331 K(x,K(T(y / z,u) * w,T(z / y,u)) * v5) = K(x,K(w,T((y / z) \ 1,u)) * v5). [para(19328(a,1),13177(a,1,2,1))]. 19332 (T(x \ 1,y) * z) * (u / (T(x \ 1,y) * z)) = u * K(T(x,y) \ z,T(x \ 1,y) \ (z \ u)). [para(19329(a,1),14646(a,1,2)),flip(a)]. 19333 K(x,K(K(y,z),u) * ((T(z,y) \ w) \ v5)) = K(x,(T(K(y,z),u) * (z \ w)) \ v5). [para(5204(a,1),19281(a,1,2,2,1))]. 19334 K(x,K(K(y,y \ z),u) * ((((y \ z) * y) \ w) \ v5)) = K(x,(T(K(y,y \ z),u) * (z \ w)) \ v5). [para(11060(a,1),19281(a,1,2,2,1))]. 19335 K(x,K(K(y,y \ z),u) * (((y * (z / y)) * w) \ v5)) = K(x,(T(K(y,y \ z),u) * (z * w)) \ v5). [para(11107(a,1),19281(a,1,2,2,1))]. 19336 K(x,((y \ z) \ u) * K(y \ w,y)) = K(x,(T(y,w) \ z) \ u). [hyper(16381,a,19282,a)]. 19337 K(x,(y \ z) * (u * K(w,z))) = K(x,(y \ T(z,w)) * u). [hyper(18270,a,19289,a)]. 19338 K(x,K(y,z) * ((u \ z) * w)) = K(x,(u \ T(z,y)) * w). [hyper(18145,a,19289,a)]. 19339 K(x,K(y,z) * ((u \ y) * w)) = K(x,(u \ T(y,z)) * w). [hyper(18144,a,19289,a)]. 19340 K(x,(y \ T(z,K(u,w))) * v5) = K(x,(y \ z) * v5). [hyper(16689,a,19289,a),flip(a)]. 19341 K(x,(y \ z) * (K(z,u) * w)) = K(x,(y \ T(z,u)) * w). [hyper(16688,a,19289,a)]. 19342 K(x,(y \ T(z,T(u,w))) * v5) = K(x,(y \ T(z,u)) * v5). [para(7135(a,1),19340(a,1,2,1,2))]. 19343 K(x,(y \ T(z,u * w)) * v5) = K(x,(y \ T(z,w * u)) * v5). [para(13063(a,1),19340(a,1,2,1,2))]. 19344 K(x,(y * (y \ z)) \ T(((z / y) * u) * y,K(y,z))) = K(x,((y \ z) * y) \ (((y \ z) * u) * y)). [para(18399(a,2),19292(a,1,2,2))]. 19345 K(x,((y \ 1) * (y * z)) \ u) = K(x,R(z,y,y \ 1) \ u). [para(748(a,1),19310(a,1,2,1)),flip(a)]. 19346 K(x,(y \ T(z,z * u)) * w) = K(x,K(z,u) * ((y \ z) * w)). [hyper(16418,a,19339,a),flip(a)]. 19347 K(x,(y \ T(z,T(u,w))) * v5) = K(x,(y \ z) * (K(z,u) * v5)). [hyper(16753,a,19341,a),flip(a)]. 19348 K(x,L(y,z,L(u,K(w,v5),v6))) = K(x,L(y,z,u)). [hyper(236,a,14018,a(flip),b,19143,a)]. 19349 K(x,L(y,z,L(u,K(w,v5),v6))) != v7 | K(x,L(y,z,u)) = v7. [para(19143(a,2),14023(a,1))]. 19350 K(x,L(y,z,u)) * (z * (K(y,T(x,z)) * u)) = z * L(u,K(y,x),z). [para(19348(a,1),15545(a,1,1))]. 19352 K(x,(y \ z) \ K(u,w)) = K(x,K(u,w) * (z \ y)). [hyper(19163,a,19195,a)]. 19353 K(x,K(y,z) * ((u * w) \ u)) = K(x,w \ K(y,z)). [para(13(a,1),19352(a,1,2,1)),flip(a)]. 19354 K(x,K(y,z) * L(u \ 1,u,w)) = K(x,u \ K(z,y)). [hyper(15701,a,19353,a)]. 19355 K(x,(y * z) \ (K(u,w) * y)) = K(x,z \ K(u,w)). [hyper(236,a,19220,a,b,19353,a(flip)),flip(a)]. 19356 K(x,y / (z * K(u,w))) = K(x,(z / y) \ K(w,u)). [hyper(18947,a,19355,a)]. 19357 K(x,(K(y,z) * u) / w) = K(x,(w / u) \ K(y,z)). [hyper(236,a,18389,a,b,19356,a(flip)),flip(a)]. 19358 K(x,(y \ (((y \ z) \ z) * u)) / w) = K(x,(w / u) \ K(y,y \ z)). [para(5176(a,2),19357(a,1,2,1))]. 19359 K(x,((y / (y / z)) * (z \ u)) / w) = K(x,(w / u) \ K(z \ y,z)). [para(5526(a,2),19357(a,1,2,1))]. 19360 K(x \ (K(y,z) * u),w) = K(K(y,z) * (x \ u),w). [hyper(19164,a,17859,a),flip(a)]. 19361 K((x * y) \ z,L(u,z,K(w,L(v5,x,y)))) = K(K(w,L(v5,x,y)) * (((K(w,v5) * x) * y) \ z),u). [hyper(15415,a,19360,a)]. 19362 K(x \ (y * K(z,u)),w) = K(K(z,u) * (x \ y),w). [hyper(236,a,16661,a(flip),b,19360,a(flip)),flip(a)]. 19363 K(K(x,T(y,z * u)) * ((z \ 1) \ u),w) = K((u * K(x,y)) * T(z,u),w). [hyper(236,a,15459,a(flip),b,19360,a(flip))]. 19364 K(K(x,y) * (((y * x) \ z) \ u),w) != v5 | K(((x * y) \ z) \ u,L(w,u,K(x,y))) = v5. [para(19360(a,1),11632(a,1))]. 19365 K(K(x,L(y,z,u)) * (w \ (z * u)),v5) = K(w \ ((K(x,y) * z) * u),v5). [para(15367(a,1),19360(a,1,1,2)),flip(a)]. 19366 K(x \ (y * (z * K(u,w))),v5) = K(K(u,w) * (x \ (y * z)),v5). [hyper(236,a,19120,a(flip),b,19362,a(flip)),flip(a)]. 19367 K(K(x,y) * (z \ u),T(w,u)) != v5 | K((u * K(x,y)) / z,w) = v5. [para(19362(a,1),16976(a,1))]. 19368 K((x / y) * K(T(z,u),w),T(v5,K(z,w) * y)) = K((K(w,T(z,u)) * y) \ x,v5). [hyper(19165,a,16718,a)]. 19369 K((x / y) * K(z,u),w) = K(x * (y \ K(z,u)),w). [hyper(19165,a,14521,a)]. 19370 K((x / y) * K(z,u \ w),v5) = K(x * (y \ K(z,w / u)),v5). [hyper(16757,a,19369,a)]. 19371 K(K(x,y) * (z / u),w) = K(z * (u \ K(y,x)),w). [hyper(16367,a,19369,a)]. 19372 K(x * (y \ K(z,L(u,w,v5))),v6) != v7 | K(K(u,z) * (x / y),v6) = v7. [para(19369(a,1),18226(a,1))]. 19373 K(K(x,y) * (z / u),T(w,z)) = K((u \ K(y,x)) * z,w). [hyper(236,a,13397,a(flip),b,19371,a)]. 19374 K(K(x,y) * (z / (y \ u)),w) = K(z / (T(y,x) \ u),w). [hyper(14546,a,19371,a(flip)),flip(a)]. 19375 K(x * (y \ K(z,x)),u) = K(T(x,z) / y,u). [para(14465(a,1),19371(a,1,1)),flip(a)]. 19376 K(x * ((K(y,z) * u) \ 1),w) = K(K(y,z) * (x / u),w). [para(14518(a,2),19371(a,2,1,2)),flip(a)]. 19377 K(K(x,y) * (z / (u \ 1)),w) != v5 | K(z * (u * K(y,x)),w) = v5. [para(19371(a,2),14899(a,1))]. 19378 K(K(x,y) * (z / (x \ u)),w) = K(z / (T(x,y) \ u),w). [hyper(16368,a,19374,a)]. 19379 K(x / (T(y,z) \ z),u) = K(x / (z / y),u). [hyper(236,a,16344,a(flip),b,19374,a(flip))]. 19380 K(x / (y \ T(z,y)),u) = K(x / (z / y),u). [para(4117(a,1),19379(a,1,1,2))]. 19381 K(x / (y / z),T(u,z \ y)) = K((z \ T(y,z)) \ x,u). [hyper(16990,a,19380,a),flip(a)]. 19382 K(x / (y * K(z,u)),w) = K(K(z,u) * (x / y),w). [hyper(16804,a,19376,a)]. 19383 K(x / ((y \ (y / z)) * y),u) = K(K(z \ 1,y) * (x / (y / z)),u). [para(5151(a,2),19382(a,1,1,2))]. 19384 K(K(x,y) * (z / (u / y)),w) = K(z / (u / T(y,x)),w). [para(7555(a,1),19382(a,1,1,2)),flip(a)]. 19385 K(x * ((y \ z) \ K(u,y)),w) = K(x / (T(y,u) \ z),w). [hyper(236,a,19371,a(flip),b,19378,a(flip)),flip(a)]. 19386 K((x \ T(y,x)) \ z,u) = K((y / x) \ z,u). [hyper(16009,a,19381,a),flip(a)]. 19387 K((T(x,y) \ y) \ z,u) = K((y / x) \ z,u). [para(4117(a,2),19386(a,1,1,1))]. 19388 K(x,T((y \ T(z,y)) \ u,w)) = ((w * x) / w) / ((w * (x * K((z / y) \ u,x))) / w). [para(19386(a,1),9124(a,1,2,1,2,2)),flip(a)]. 19390 K(x,y * ((z \ u) \ K(w,z))) = v5 / (K(y / (T(z,w) \ u),x) * v5). [para(19385(a,1),5266(a,1,2,1)),flip(a)]. 19391 K((x \ (y * z)) * K(T(z,y),u),w) = K(x \ (y * T(z,u)),w). [hyper(19245,a,17730,a)]. 19392 K(x,y / (z * K(u,w))) != v5 | K(x,(y / z) * K(w,u)) = v5. [para(16792(a,2),19259(a,1))]. 19393 K(x,(K(y,z) * u) \ w) != v5 | K(x,K(z,y) * (u \ w)) = v5. [para(14520(a,2),19264(a,1))]. 19394 K(x,y \ T(z,u / K(w,v5))) = K(x,y \ (u \ (z * u))). [hyper(19295,a,18468,a),flip(a)]. 19395 K(x,y \ T(z,u / K(w,v5))) = K(x,y \ T(z,u)). [para(32(a,2),19394(a,2,2,2))]. 19396 K(x,y \ T(z,T(u,w) \ v5)) = K(x,y \ T(z,u \ v5)). [para(7347(a,1),19395(a,1,2,2,2))]. 19397 K(x,(T(y,z) \ u) \ T(w,y \ u)) = K(x,w / (T(y,z) \ u)). [hyper(13148,a,19396,a),flip(a)]. 19398 K(x,y / (K(z,u) * w)) != v5 | K(x,y * (w \ K(u,z))) = v5. [para(19147(a,2),19296(a,1))]. 19399 K(x,y / (z * K(u,w))) != v5 | K(x,y * (z \ K(w,u))) = v5. [para(19202(a,2),19296(a,1))]. 19400 K(x,R(y,z,z \ 1) \ u) = K(x,L(y,z,z \ 1) \ u). [hyper(6727,a,19345,a),flip(a)]. 19401 x / (K(y,L(z,u,u \ 1) \ w) * x) = K(R(z,u,u \ 1) \ w,y). [para(19400(a,1),5266(a,1,2,1))]. 19402 K(x,(y * K(z,u)) / w) != v5 | K(x,y * (w \ K(z,u))) = v5. [para(17735(a,2),19399(a,1))]. 19403 K(x,(K(y,z) * u) / w) != v5 | K(x,u * (w \ K(y,z))) = v5. [para(18389(a,2),19399(a,1))]. 19404 K(x,(y / z) \ K(u,w)) != v5 | K(x,z * (y \ K(u,w))) = v5. [para(19356(a,1),19399(a,1))]. 19405 K(x,(y * (K(z,y) * u)) / w) != v5 | K(x,(y * u) * (w \ K(z,y))) = v5. [para(5363(a,1),19403(a,1,2,1))]. 19407 K(x,T((y / z) / K(u,w),v5)) = K(x,T(y / (K(w,u) \ z),v5)). [para(5260(a,2),19151(a,2,2,1,2))]. 19408 K(((x \ 1) * K(y,y \ z)) \ u,w) = K(K(z,y) * ((1 / x) \ u),w). [hyper(236,a,16270,a(flip),b,19167,a)]. 19409 K((x * ((y * z) / y)) \ u,w) = K((x * T(z,y)) \ u,w). [hyper(236,a,19269,a(flip),b,19169,a)]. 19410 K((x * T(T(y,z),z)) \ u,w) = K((x * y) \ u,w). [para(163(a,1),19409(a,1,1,1,2)),flip(a)]. 19411 K(x,(y * ((z * u) / z)) \ w) = v5 / (K((y * T(u,z)) \ w,x) * v5). [para(19409(a,1),5266(a,1,2,1)),flip(a)]. 19412 K(x,T((y * ((z * u) / z)) \ w,v5)) = ((v5 * x) / v5) / ((v5 * (x * K((y * T(u,z)) \ w,x))) / v5). [para(19409(a,1),9124(a,1,2,1,2,2)),flip(a)]. 19413 K((T(x,y) * y) \ z,u) = K((y * x) \ z,u). [para(119(a,1),19410(a,1,1,1))]. 19414 T(T(x,(T(y,z) * z) \ u),K((z * y) \ u,w)) = T(x,T((T(y,z) * z) \ u,w)). [para(19413(a,1),7135(a,1,2))]. 19415 K(x,y \ (K(z,T(u,w)) \ v5)) = K(x,K(u,z) \ (y \ v5)). [hyper(16755,a,19192,a),flip(a)]. 19416 K(x,y \ (K(z,T(u,w)) \ v5)) = K(x,K(z,u) \ (y \ v5)). [hyper(16690,a,19192,a),flip(a)]. 19418 K(x,K(y,z) \ (u \ w)) = K(x,u \ (K(z,y) \ w)). [hyper(236,a,17950,a(flip),b,19415,a(flip))]. 19420 K(x,K(y,z) \ ((T(z,y) \ u) \ w)) = K(x,(z \ u) \ w). [hyper(236,a,17900,a(flip),b,19418,a)]. 19421 K(x,K(y,z) \ ((T(z,u) \ w) \ v5)) = K(x,(T(T(z,u),y) \ w) \ v5). [hyper(236,a,17899,a(flip),b,19416,a(flip))]. 19422 K(x,K(y,z) * (u \ (y / z))) = K(x,((z \ y) \ u) \ 1). [hyper(13176,a,19222,a)]. 19423 K(x,K(y,z) * (u \ (y / z))) = K(x,u \ (z \ y)). [hyper(236,a,6408,a(flip),b,19422,a)]. 19424 K(x,y \ (z / T(u,z))) = K(x,y \ (u \ z)). [hyper(236,a,19234,a(flip),b,19423,a(flip)),flip(a)]. 19425 K(x,y \ ((z \ u) * T(z,w))) = K(x,K(z,w) * (y \ T(u,z))). [hyper(236,a,13289,a(flip),b,19233,a(flip)),flip(a)]. 19426 K((x \ K(y,z)) * u,w) = K(K(y,z) * (x \ u),w). [hyper(17977,a,19254,a),flip(a)]. 19427 K((x \ K(y,z)) * u,w) != v5 | K(K(y,z) * (x \ u),w) = v5. [para(19254(a,1),5272(a,1))]. 19428 K(K(x,y) * (z \ u),T(w,u)) = K(u * (z \ K(x,y)),w). [hyper(13410,a,19426,a),flip(a)]. 19429 K(K(x,y) * (z \ u),T(w,u)) != v5 | K(u * (z \ K(x,y)),w) = v5. [para(19426(a,1),13410(a,1))]. 19432 K((x * K(y,z)) * u,w) != v5 | K(K(y,z) * ((1 / x) \ u),w) = v5. [para(14090(a,1),19427(a,1,1,1))]. 19433 K(K(x,y) * (z / u),T(w,z)) != v5 | K(K(y,x) * (u \ z),w) = v5. [para(19373(a,2),19427(a,1))]. 19434 K(x,(y * T(z,T(u,w))) \ v5) = K(x,(y * T(z,u)) \ v5). [hyper(236,a,19270,a(flip),b,19271,a(flip)),flip(a)]. 19435 K(x,K(y,T(T(z,u),w)) * ((v5 \ z) \ v6)) = K(x,(v5 \ T(z,T(y,w))) \ v6). [para(7260(a,1),19275(a,1,2,1))]. 19436 K(x,y * T(z \ 1,u)) = K(x,y / T(z,u)). [hyper(18,a,16437,a,b,19305,a),flip(a)]. 19437 K(x,y / T(1 / z,u)) = K(x,y * T(z,u)). [para(65(a,1),19436(a,1,2,2,1)),flip(a)]. 19438 T(x,y / (((z * u) \ u) \ 1)) = T(x,y * (u / (u * z))). [hyper(236,a,15749,a(flip),b,19324,a)]. 19439 T(x,y * (z / (z * u))) = T(x,y * ((u * z) \ z)). [hyper(236,a,14250,a(flip),b,19438,a(flip))]. 19440 T(x,y * (((R(z,u,z) \ w) * z) \ z)) = T(x,y * (z / (a(z,u,z) \ w))). [para(12348(a,1),19439(a,1,2,2,2)),flip(a)]. 19441 K(x,(T(y,y \ z) \ u) \ w) = K(x,(T(y,z) \ u) \ w). [hyper(236,a,19282,a(flip),b,19336,a(flip)),flip(a)]. 19442 K(x,(((y \ z) \ z) \ u) \ w) = K(x,(T(y,z) \ u) \ w). [para(120(a,1),19441(a,1,2,1,1))]. 19443 K(x,(T(((y \ z) \ z) * u,(y \ z) \ z) \ w) \ v5) = K(x,((((y * u) \ y) \ ((y \ z) \ z)) \ w) \ v5). [para(15055(a,1),19442(a,1,2,1,1,1)),flip(a)]. 19444 K(x,(y \ T(z,T(u * w,v5))) * v6) = K(x,(y \ T(z,w * u)) * v6). [hyper(236,a,19342,a,b,19343,a),flip(a)]. 19445 K(x,(y \ T(z,z * u)) * w) = K(x,(y \ T(z,u)) * w). [hyper(236,a,19339,a(flip),b,19346,a)]. 19446 K(x,(y \ T(z,z * u)) * w) = K(x,(y \ z) * (w * K(u,z))). [hyper(236,a,18141,a(flip),b,19346,a)]. 19447 K(x \ (y * ((z \ 1) * (u / (z \ 1)))),w) = K(K(z \ 1,z * u) * (x \ (y * u)),w). [para(7103(a,2),19366(a,1,1,2,2))]. 19448 K(x * (y \ K(z,u / z)),w) = K((x / y) * K(u,z),w). [hyper(236,a,15798,a(flip),b,19370,a(flip))]. 19449 K(x * (y \ K(z,u / z)),w) = K(x * (y \ K(u,z)),w). [hyper(236,a,19369,a(flip),b,19448,a)]. 19450 K(x * (y \ K(z,z \ u)),w) = K(x * (y \ K(u,z)),w). [para(4994(a,1),19449(a,1,1,2,2))]. 19451 K(x * (((y / z) \ 1) \ K(z,u)),w) = K(x * (y / ((u \ z) * u)),w). [hyper(236,a,14900,a(flip),b,19450,a(flip))]. 19452 K((x \ (y * z)) * K(z,T(u,y)),w) = K(x \ (y * T(z,u)),w). [para(7260(a,1),19391(a,1,1,2))]. 19453 K(x,(T(y,z) \ z) \ T(u,y \ z)) = K(x,u / (y \ T(z,y))). [para(4117(a,1),19397(a,2,2,2))]. 19454 K(x,T(y / (K(z,u) \ w),v5)) = K(x,T((y / w) * K(z,u),v5)). [para(7547(a,1),19407(a,1,2,1)),flip(a)]. 19455 K(((x \ y) * T(x,z)) \ (u * T(x,z)),K(x,z) * (u \ T(y,x))) = K((x \ y) \ u,u \ ((x \ y) * T(x,z))). [hyper(13457,a,19425,a),flip(a)]. 19456 K(K(x,y) * (z \ (u * y)),w) = K(z \ (u * T(y,x)),w). [hyper(17264,a,19452,a)]. 19458 K(x,K(y,z) \ T(u / w,v5)) = K(x,T(u / (K(z,y) \ w),v5)). [hyper(236,a,18620,a,b,19454,a),flip(a)]. 19459 K(x,K(y \ T(z,u),y) \ T(w / z,v5)) = K(x,T(w / ((y \ z) * y),v5)). [hyper(236,a,18964,a(flip),b,19458,a)]. 19460 K(x,(y * K(z,u)) * w) != v5 | K(x,y * (w * K(z,u))) = v5. [para(19221(a,1),19236(a,1))]. 19461 K(x,(y \ K(z,u)) \ w) != v5 | K(x,y * (w * K(u,z))) = v5. [para(16766(a,2),19460(a,1))]. 19462 K((x * K(y,z)) / u,w) = K(x * (u \ K(y,z)),w). [hyper(19367,a,19428,a)]. 19463 K(x * ((y * z) \ K(u,L(w,z,y))),v5) = K(x / (y * (z * K(w,u))),v5). [hyper(236,a,17737,a(flip),b,19462,a(flip))]. 19464 K(K(x,y) * ((1 / z) \ u),w) = K(z * (u * K(y,x)),w). [hyper(19432,a,18257,a)]. 19465 K((x * (y * (z / y))) \ u,w) = K(K(y,z) * ((x * z) \ u),w). [hyper(13393,a,19206,a),flip(a)]. 19466 K((x * (y * (z / y))) \ u,w) = K((x * T(z,y)) \ u,w). [hyper(236,a,19268,a(flip),b,19465,a)]. 19467 K(x,(y * (z * (u / z))) \ w) = v5 / (K((y * T(u,z)) \ w,x) * v5). [para(19466(a,1),5266(a,1,2,1)),flip(a)]. 19468 K(x,(T(y,y \ z) \ u) \ w) = K(x,((z / (z / y)) \ u) \ w). [hyper(236,a,19284,a(flip),b,19227,a),flip(a)]. 19469 K(x,((y / (y / z)) \ u) \ w) = K(x,(T(z,y) \ u) \ w). [hyper(236,a,19441,a(flip),b,19468,a(flip))]. 19470 K(x,(T(y,z) \ z) \ u) = K(x,(z / y) \ u). [para(65(a,1),19469(a,1,2,1)),flip(a)]. 19471 K(x,(y / z) \ T(u,z \ y)) = K(x,u / (z \ T(y,z))). [hyper(236,a,19453,a(flip),b,19470,a(flip))]. 19472 K(x,(y \ T(z,y)) \ u) = K(x,(z / y) \ u). [para(4117(a,1),19470(a,1,2,1))]. 19473 K(x,y / (z \ T(u,z))) = K(x,y / (u / z)). [hyper(16740,a,19471,a),flip(a)]. 19474 K(x,y / (z \ T(u,z))) != w | K(x,y / (u / z)) = w. [para(19471(a,1),16740(a,1))]. 19475 K(x,y / (z \ (z * (u / T(z,u))))) = K(x,y / ((z * (u / z)) / z)). [para(4144(a,1),19473(a,1,2,2,2))]. 19476 K(x,y / (T(z,T(u,w)) \ T(v5,T(z,u)))) = K(x,y / (v5 / T(z,T(u,w)))). [para(16137(a,1),19473(a,1,2,2,2))]. 19478 K(x,y / (T(z,u) \ u)) != w | K(x,y / (u / z)) = w. [para(4117(a,2),19474(a,1,2,2))]. 19479 K(x,y \ (z * ((u \ w) * u))) = K(x,K(w,u) * (y \ (z * w))). [hyper(13176,a,19235,a),flip(a)]. 19480 K(x,y \ (z * ((u \ w) * u))) = K(x,y \ (z * T(w,u))). [hyper(236,a,19232,a(flip),b,19479,a)]. 19481 K(x,y \ (z * T(u * w,u))) = K(x,y \ (z * (w * u))). [para(13(a,1),19480(a,1,2,2,2,1)),flip(a)]. 19482 K(x,T(y \ z,y)) = K(x,K(u,w) \ ((K(w,u) \ z) / y)). [hyper(16991,a,19246,a)]. 19483 K(x,K(y,z) \ ((K(z,y) \ u) / w)) = K(x,u / w). [hyper(8187,a,19482,a),flip(a)]. 19484 K(x,K(y,z) \ ((z * u) / w)) = K(x,(T(z,y) * u) / w). [para(4908(a,1),19483(a,1,2,2,1))]. 19485 K(x,K(y,z) * ((y * u) / w)) = K(x,(T(y,z) * u) / w). [para(5260(a,1),19484(a,1,2))]. 19486 K(x,K(y,z) * (((z * y) * u) / w)) = K(x,(T(z * y,z) * u) / w). [hyper(13075,a,19485,a)]. 19487 K(x,(T(y * z,z) * u) / w) != v5 | K(x,K(z,y) * (((y * z) * u) / w)) = v5. [para(19485(a,1),16744(a,1))]. 19488 K(x,y \ (((z \ u) * z) \ w)) = K(x,K(u,z) * (y \ (u \ w))). [hyper(15683,a,19250,a),flip(a)]. 19489 K(x,y \ (((z \ u) * z) \ w)) = K(x,y \ (T(u,z) \ w)). [hyper(236,a,19300,a(flip),b,19488,a)]. 19490 K(x,y \ (T(z * u,z) \ w)) = K(x,y \ ((u * z) \ w)). [para(13(a,1),19489(a,1,2,2,1,1)),flip(a)]. 19491 K(x * (y * (x \ 1)),z \ ((u * w) \ v5)) = K(y,T(z \ (T(w * u,w) \ v5),x)). [hyper(14625,a,19490,a),flip(a)]. 19492 T(x,K(y,z \ (T(u * w,u) \ v5))) = T(x,K(y,((w * u) \ v5) \ z)). [para(19490(a,2),9297(a,1,2))]. 19493 K(x,(y / T(z,T(u,w))) \ v5) = K(x,((y / z) \ v5) * K(u,z)). [hyper(16703,a,19317,a),flip(a)]. 19495 K(x,(y / T(z,T(u,w))) \ v5) = K(x,(y / T(z,u)) \ v5). [hyper(236,a,19272,a(flip),b,19493,a)]. 19496 K(T(1 \ (x / y),z) * u,T((x / y) \ 1,w)) = K((1 \ (x / y)) * u,T(y / x,w)). [hyper(236,a,10056,a(flip),b,19330,a)]. 19498 K(x,(y \ (((y \ z) \ z) * u)) / w) = K(x,(w / u) \ K(y,z)). [hyper(236,a,13093,a(flip),b,19358,a)]. 19499 K(x,(y \ (((y \ z) \ z) * u)) / w) = K(x,u * (w \ K(y,z))). [hyper(19404,a,19498,a(flip)),flip(a)]. 19500 K(x,(K(y,y \ z) * u) / w) = K(x,u * (w \ K(y,z))). [para(5176(a,1),19499(a,1,2,1))]. 19501 K(x,y * (z \ K(u,u \ w))) = K(x,y * (z \ K(u,w))). [hyper(19403,a,19500,a)]. 19502 K(x,((y * (z / y)) * u) / w) = K(x,(z * u) * (w \ K(y,z))). [para(11107(a,1),19500(a,1,2,1))]. 19503 K(x,(y \ (z * (u / z))) / w) = K(x,(y \ u) * (w \ K(z,u))). [hyper(236,a,17905,a(flip),b,19501,a(flip)),flip(a)]. 19504 K(x,((y / (y / z)) * (z \ u)) / w) = K(x,(w / u) \ K(y,z)). [hyper(236,a,13085,a(flip),b,19359,a)]. 19505 K(x,((y / (y / z)) * (z \ u)) / w) = K(x,u * (w \ K(y,z))). [hyper(19404,a,19504,a(flip)),flip(a)]. 19506 K(x,(K(y \ z,y) * u) / w) = K(x,u * (w \ K(z,y))). [para(5526(a,1),19505(a,1,2,1))]. 19507 K(x,y * (z \ K(u \ w,u))) = K(x,y * (z \ K(w,u))). [hyper(19403,a,19506,a)]. 19508 K(x,y / (z * (u / z))) = K(x,y * (u \ K(u,z))). [hyper(14305,a,19507,a)]. 19509 K(x,y * (((z / u) \ w) \ K(z,u))) = K(x,y * (((u \ z) \ w) \ 1)). [para(14528(a,1),19507(a,1,2,2)),flip(a)]. 19510 K(x,y / (z * (u / z))) = K(x,y / T(u,z)). [hyper(236,a,19256,a(flip),b,19508,a)]. 19511 K(x,y / (z * (u / z))) != w | K(x,y / T(u,z)) = w. [para(19508(a,2),19260(a,1))]. 19512 K(x,y / T(z * u,z)) = K(x,y / (T(z,u) * u)). [para(3875(a,2),19510(a,1,2,2)),flip(a)]. 19513 K(x,y / (T(z,u) * u)) = K(x,y / (z * ((z * u) / z))). [hyper(236,a,19510,a,b,19512,a(flip))]. 19514 K(x,y / (T(z,u) * u)) != w | K(x,y / T(z * u,z)) = w. [para(3875(a,2),19511(a,1,2,2))]. 19515 K(K(x \ 1,y) * (z / (y / x)),u) = K(z / T(y / x,y),u). [hyper(17174,a,19383,a),flip(a)]. 19516 K(K(x \ 1,y) * (z / (y / x)),u) = K(z / (x \ y),u). [hyper(236,a,13389,a(flip),b,19515,a)]. 19517 K(K(x,y) * (z / (x / y)),u) = K(z / (y \ x),u). [hyper(16383,a,19516,a)]. 19518 K(x / (y / T(z,y)),u) = K(x / (z \ y),u). [hyper(236,a,19384,a(flip),b,19517,a(flip)),flip(a)]. 19519 K(x / ((K(y,z) * T(z,u)) / T(w,K(y,z) * T(z,u))),v5) = K(x / ((w \ T(z,u)) * K(y,z)),v5). [para(15631(a,1),19518(a,2,1,2))]. 19520 K(x,y * ((z \ u) \ K(w,z))) = K(x,y / (T(z,w) \ u)). [hyper(236,a,17975,a(flip),b,19390,a)]. 19522 K(x,y / (T(z,u) \ w)) != v5 | K(x,K(u,z) * (y / (z \ w))) = v5. [para(19520(a,1),19242(a,1))]. 19523 K(R(x,y,y \ 1) \ z,u) = K(L(x,y,y \ 1) \ z,u). [hyper(17977,a,19401,a),flip(a)]. 19524 K(((x \ 1) * (x * y)) \ z,u) = K(R(y,x,x \ 1) \ z,u). [hyper(236,a,5930,a,b,19523,a),flip(a)]. 19525 K(R(x,y,y \ 1) \ (y * x),z) = K(y,T(z,y * x)). [hyper(7822,a,19524,a),flip(a)]. 19526 K(R(x,y,y \ 1) \ (y * x),z) = K(y,T(z,x)). [hyper(236,a,7366,a(flip),b,19525,a)]. 19527 ((x * y) * K(x,T(z,y))) / R(y,x,x \ 1) = T(((x * y) * (x \ 1)) \ (x * y),z). [para(19526(a,1),6925(a,1,1,2))]. 19528 K(((x \ 1) * K(y,y \ z)) \ u,w) = K(x * (u * K(y,z)),w). [hyper(236,a,19464,a(flip),b,19408,a)]. 19529 K((x \ K(y,y \ z)) \ u,w) = K(x * (u * K(y,z)),w). [para(14046(a,1),19528(a,1,1,1))]. 19530 K(x,(y * ((z * u) / z)) \ w) != v5 | K(x,(y * T(u,z)) \ w) = v5. [para(19411(a,2),5272(a,1))]. 19531 K(x,(T(T(y,z),z) \ u) \ w) = K(x,(y \ u) \ w). [hyper(236,a,19420,a(flip),b,19421,a(flip))]. 19532 K(x,(y / T(z,y)) \ u) = K(x,(z \ y) \ u). [hyper(236,a,19470,a(flip),b,19531,a(flip)),flip(a)]. 19533 K(x,(T(y,z) / z) \ u) = K(x,(z \ y) \ u). [para(4115(a,2),19532(a,1,2,1))]. 19534 K(x,T(y,z \ u) / (z \ u)) = K(x,(T(u,z) / z) \ y). [hyper(236,a,13050,a,b,19533,a),flip(a)]. 19535 K(x,(T(y,z) / z) \ u) != w | K(x,(z \ y) \ u) = w. [para(19534(a,1),13065(a,1))]. 19537 K(x * (y / ((z \ u) * z)),w) = K(x * ((y / u) * K(u,z)),w). [hyper(14899,a,19451,a),flip(a)]. 19538 K(x * (y / ((z \ u) * z)),w) = K(x * (y / T(u,z)),w). [hyper(236,a,18194,a(flip),b,19537,a)]. 19539 K(x * (T(y,T(z,u)) / T(z,u)),w) = K(x * (((u \ z) * u) \ y),w). [hyper(13219,a,19538,a),flip(a)]. 19540 K(x,(y * (z * (u / z))) \ w) = K(x,(y * T(u,z)) \ w). [hyper(236,a,17975,a(flip),b,19467,a)]. 19541 K(x,(y * (z * K(u \ 1,u * z))) \ w) = K(x,(y * T(z,L(u \ 1,u,z))) \ w). [para(13366(a,1),19540(a,1,2,1,2))]. 19542 K(x,y / ((z * (u / z)) / z)) = K(x,y / (u / T(z,u))). [para(13(a,1),19475(a,1,2,2)),flip(a)]. 19543 K(x,y / T(z / u,u)) = K(x,y / (z / T(u,z))). [hyper(15775,a,19542,a)]. 19545 K(x,y / (z / T(u,z))) = K(x,y / (u \ z)). [para(121(a,1),19543(a,1,2,2)),flip(a)]. 19546 T(x,K(y,((z * u) \ w) \ v5)) = T(x,K(y,v5 \ ((u * z) \ w))). [hyper(236,a,18816,a(flip),b,19492,a(flip))]. 19547 T(x,K(y,z \ ((u * w) \ v5))) = T(x,K(y,v5 \ ((w * u) * z))). [hyper(18271,a,19546,a),flip(a)]. 19549 K(x,y * (((z / u) \ w) \ K(z,u))) != v5 | K(x,y / ((u \ z) \ w)) = v5. [para(19509(a,2),14282(a,1))]. 19550 K(x * (((y \ z) * y) \ u),w) = K(x * (T(z,y) \ u),w). [hyper(13215,a,19539,a),flip(a)]. 19551 K(x * (T(y,z) \ u),z \ y) = K(x * (y \ u),z \ y). [hyper(236,a,11103,a(flip),b,19550,a(flip))]. 19552 K(x * (T(y * z,y) \ u),w) = K(x * ((z * y) \ u),w). [para(13(a,1),19550(a,1,1,2,1,1)),flip(a)]. 19553 T(x,y * (((z \ u) * z) \ w)) = (x * v5) / (K(y * (T(u,z) \ w),x) * v5). [para(19550(a,1),5354(a,1,2,1)),flip(a)]. 19554 K(x \ y,z * (T(y,x) \ u)) = w / (K(z * (y \ u),x \ y) * w). [para(19551(a,1),5266(a,1,2,1)),flip(a)]. 19555 K(x * (T(y * z,y) \ u),T(w,x)) = K(((z * y) \ u) * x,w). [hyper(236,a,13397,a(flip),b,19552,a)]. 19556 K((T(x * y,x) \ z) * u,w) = K(((y * x) \ z) * u,w). [hyper(13398,a,19555,a)]. 19557 K((((x \ y) * x) \ z) * u,w) = K((T(y,x) \ z) * u,w). [para(14(a,1),19556(a,1,1,1,1,1)),flip(a)]. 19558 K(x,(T(y * z,y) \ u) * w) = v5 / (K(((z * y) \ u) * w,x) * v5). [para(19556(a,1),5266(a,1,2,1)),flip(a)]. 19559 K(((x \ y) * T(x,z)) \ u,w) = K((T(y,x) \ u) * K(z,x),w). [hyper(236,a,19168,a(flip),b,19557,a(flip)),flip(a)]. 19560 K(x \ y,z * (T(y,x) \ u)) = K(x \ y,z * (y \ u)). [hyper(236,a,17975,a(flip),b,19554,a)]. 19561 K(x,(T(y * z,y) \ u) * w) = K(x,((z * y) \ u) * w). [hyper(236,a,17975,a(flip),b,19558,a)]. 19563 K(x,(((y * K(z * y,u)) * z) \ w) * v5) = K(x,(T(T(z * y,u),z) \ w) * v5). [para(14118(a,1),19561(a,1,2,1,1,1)),flip(a)]. 19564 K(x,y \ ((K(z,u) * w) * v5)) = K(x,K(z,u) * (y \ (w * v5))). [hyper(18107,a,19251,a),flip(a)]. 19566 K(x,y \ ((z * K(u,w)) * v5)) = K(x,K(u,w) * (y \ (z * v5))). [hyper(236,a,17951,a(flip),b,19564,a(flip)),flip(a)]. 19567 K(x,K(y,z) * ((u \ 1) \ (w * v5))) = K(x,u * ((w * K(y,z)) * v5)). [hyper(14234,a,19566,a),flip(a)]. 19568 K(x,y * ((z * K(u,w)) * v5)) = K(x,y * ((z * v5) * K(u,w))). [hyper(19236,a,19567,a),flip(a)]. 19569 K(x,y * ((z * K(u,w)) * v5)) = K(x,y * (z * (v5 * K(u,w)))). [hyper(236,a,18118,a(flip),b,19568,a)]. 19570 K(x,y * (z * (T(u,z) * K(w,v5)))) = K(x,y * (u * (K(w,v5) * z))). [hyper(236,a,16834,a(flip),b,19569,a(flip))]. 19571 K(x,y * (z * (u * K(w,w \ z)))) = K(x,y * ((w * (z / w)) * u)). [para(5079(a,1),19569(a,1,2,2,1)),flip(a)]. 19572 K(x,y * ((K(z,u) * w) * v5)) = K(x,y * (w * (K(z,u) * v5))). [hyper(236,a,18738,a(flip),b,19570,a(flip)),flip(a)]. 19573 K(x,y * ((z / u) * (K(w,K(v5,u)) * v6))) = K(x,y * ((z / T(u,K(w,v5))) * v6)). [para(16120(a,1),19572(a,1,2,2,1)),flip(a)]. 19574 K(x,y * ((z * (u / z)) * w)) = K(x,y * (u * (w * K(u,z)))). [hyper(236,a,18444,a(flip),b,19571,a(flip))]. 19575 K(x,y * ((z * (u / z)) * w)) = K(x,y * (T(u,z) * w)). [hyper(236,a,16644,a(flip),b,19574,a)]. 19576 K(x \ ((K(y,z) * u) * w),v5) = K(K(y,z) * (x \ (u * w)),v5). [hyper(18110,a,19365,a),flip(a)]. 19578 K(K(x,y) * (((K(x,y) * z) * (u / w)) \ (z * u)),v5) != v6 | K(L(w,u / w,K(x,y) * z),v5) = v6. [para(19576(a,1),8416(a,1))]. 19579 K(x / (y * (z * K(u,w))),v5) = K(K(u,w) * (x / (y * z)),v5). [hyper(19372,a,19463,a),flip(a)]. 19580 K(x / (y * (K(z,u) * w)),v5) = K(K(z,u) * (x / (y * w)),v5). [hyper(236,a,18684,a,b,19579,a(flip)),flip(a)]. 19581 K(K(x,y) * (z / (u * w)),T(v5,u * w)) = K((u * (w * K(x,y))) \ z,v5). [hyper(236,a,17203,a(flip),b,19579,a(flip))]. 19582 x / (K(K(y,z) * (u / (w * v5)),v6) * x) = K(v6,u / (w * (v5 * K(y,z)))). [para(19579(a,1),5266(a,1,2,1))]. 19583 K(K(x,y) * (z / (u * w)),T(v5,z)) = K((u * (K(x,y) * w)) \ z,v5). [hyper(7298,a,19580,a),flip(a)]. 19584 K((x * (K(y,z) * u)) \ w,v5) = K(K(z,y) * ((x * u) \ w),v5). [hyper(19433,a,19583,a),flip(a)]. 19586 K(K(x,y) * ((z * (u \ 1)) \ w),v5) = K((z * (K(y,x) / u)) \ w,v5). [hyper(236,a,14507,a(flip),b,19584,a(flip))]. 19587 K(K(x,T(y,z)) * ((T(x,z) / u) \ w),v5) = K((T(T(x,y),z) / u) \ w,v5). [para(7260(a,1),19298(a,1,1,1))]. 19588 K(x,(((x / y) \ z) * (x / y)) * y) = K(x,T(z * y,x / y)). [para(14(a,1),19314(a,1,2,1)),flip(a)]. 19589 K(x,(((x / y) \ z) * (x / y)) * y) = K(x,T(z * y,y)). [hyper(236,a,9352,a(flip),b,19588,a)]. 19591 K(x,(((x / y) \ z) * (x / y)) * y) = K(x,y * z). [hyper(236,a,13033,a(flip),b,19589,a)]. 19592 K(x,T(y,x / z) * z) = K(x,z * y). [hyper(16570,a,19591,a)]. 19593 K(x,(y * z) \ T(u,y)) * K(x,K(u,y * z)) = K(x,T((z * y) \ u,y \ u)). [para(19592(a,1),16917(a,1,2,2))]. 19594 K(K(x * y,y) * ((z * x) \ u),w) = K((z * T(x,y \ 1)) \ u,w). [hyper(16383,a,19315,a)]. 19595 K(K(x * y,x) * ((z * y) \ u),w) = K((z * T(y,x \ 1)) \ u,w). [para(5559(a,1),19594(a,1,1,1))]. 19596 K((x * T(y,z \ 1)) \ u,w) = K(K(z,y) * ((x * y) \ u),w). [hyper(16384,a,19595,a),flip(a)]. 19597 K((x * T(y,z \ 1)) \ u,w) = K((x * T(y,z)) \ u,w). [hyper(236,a,19268,a(flip),b,19596,a)]. 19598 K(((x \ 1) \ y) * K(z,u),w) = K((y * K(z,u)) * T(x,y),w). [para(14241(a,1),19363(a,1,1))]. 19599 K(((x \ 1) \ y) * K(z,u),w) = K((x * K(z,u)) * y,w). [hyper(236,a,18262,a(flip),b,19598,a)]. 19601 K((x \ K(y,z)) \ u,w) = K((x * K(z,y)) * u,w). [hyper(236,a,19170,a(flip),b,19599,a(flip)),flip(a)]. 19603 K((x \ K(y,z)) \ u,w) = K(x * (u * K(y,z)),w). [hyper(236,a,18257,a(flip),b,19601,a)]. 19605 K(x * (y * K(z,z \ u)),w) = K(x * (y * K(z,u)),w). [hyper(236,a,19529,a(flip),b,19603,a(flip))]. 19606 K(((x / (x / y)) \ z) * u,L(w,u \ 1,K(y \ x,y))) = K(T(y \ z,K(y,x)) * (u * K(y,x)),w). [hyper(236,a,16780,a(flip),b,19605,a(flip)),flip(a)]. 19607 K(x,(y \ T(z,T(u,w))) \ v5) = K(x,((y \ z) \ v5) * K(u,T(z,v6))). [hyper(16703,a,19435,a),flip(a)]. 19609 K(x,(y \ T(z,T(u,w))) \ v5) = K(x,((y \ z) \ v5) * K(u,z)). [hyper(236,a,16636,a(flip),b,19607,a)]. 19610 K(x,(y \ T(z,T(u,w))) \ v5) = K(x,(y \ T(z,u)) \ v5). [hyper(236,a,19274,a(flip),b,19609,a)]. 19611 K(x,(y \ T(z,z \ T(u,w))) \ v5) = K(x,((y \ z) \ v5) * K(z \ u,z)). [para(11199(a,2),19609(a,1,2,1,2))]. 19612 K(x,(y \ T(z,(u \ T(w,v5)) \ w)) \ v6) = K(x,((y \ z) \ v6) * K(K(v5,w) * u,z)). [para(14483(a,2),19609(a,1,2,1,2))]. 19613 T(x,y * (((R(z,u,z) \ w) * z) \ z)) = T(x,y * (a(z,u,z) * (z / w))). [para(12963(a,1),19440(a,2,2,2))]. 19614 K(x,K(y \ z,T(y,u)) \ T(w / z,v5)) = K(x,T(w / ((y \ z) * y),v5)). [para(15716(a,1),19459(a,1,2,1))]. 19615 K(x,y / (T(z,u) \ T(w,T(z,u)))) = K(x,y / (w / T(z,T(u,v5)))). [hyper(18311,a,19476,a)]. 19616 K(x,y / (z / T(u,T(w,v5)))) = K(x,y / (z / T(u,w))). [hyper(19474,a,19615,a),flip(a)]. 19617 K(x / (y / T(z,T(u,w))),v5) = v6 / (K(v5,x / (y / T(z,u))) * v6). [para(19616(a,1),5266(a,1,2,1)),flip(a)]. 19618 K(x / (y / T(z,T(u,w))),v5) = K(x / (y / T(z,u)),v5). [hyper(236,a,17975,a(flip),b,19617,a)]. 19619 K(x / (y / T(z,T(u,w))),v5) != v6 | K(x / (y / T(z,u)),v5) = v6. [para(19617(a,2),5272(a,1))]. 19620 T(x,y * (((z \ u) * z) \ w)) != v5 | T(x,y * (T(u,z) \ w)) = v5. [para(19553(a,2),5356(a,1))]. 19621 K(x,y / (z * (u * K(w,v5)))) = K(x,K(w,v5) * (y / (z * u))). [hyper(17977,a,19582,a),flip(a)]. 19622 K(x,y / (z * ((u * w) / u))) = K(x,K(u,w) * (y / (z * w))). [para(4854(a,2),19621(a,1,2,2,2))]. 19623 K(x,y / (z * ((u * w) / u))) = K(x,y / (z * T(w,u))). [hyper(236,a,19257,a(flip),b,19622,a)]. 19624 K(x,y / (T(z,u) * u)) = K(x,y / (z * T(u,z))). [hyper(236,a,19513,a,b,19623,a(flip)),flip(a)]. 19625 K(x,y / (T(z,u) * u)) = K(x,y / (u * z)). [para(119(a,1),19624(a,2,2,2))]. 19626 K(x,y / T(z * u,z)) = K(x,y / (u * z)). [hyper(19514,a,19625,a)]. 19627 K(x,y / ((z \ u) * z)) = K(x,y / T(u,z)). [para(14(a,1),19626(a,1,2,2,1)),flip(a)]. 19628 K(K(x,y) * ((T(x,z) / u) \ w),v5) = K((T(T(x,y),z) / u) \ w,v5). [hyper(16683,a,19587,a)]. 19629 K(K(x,y) * ((T(x,z) / u) \ w),T(v5,w)) = K(w / (T(T(x,y),z) / u),v5). [hyper(236,a,8052,a(flip),b,19628,a)]. 19631 K(x,(y \ T(z,z \ T(u,w))) \ v5) = K(x,((y \ z) \ v5) * K(u,z)). [hyper(236,a,13079,a(flip),b,19611,a)]. 19632 K(x,(y \ T(z,z \ T(u,w))) \ v5) = K(x,(y \ T(z,u)) \ v5). [hyper(236,a,19274,a(flip),b,19631,a)]. 19633 K(x,(y \ T(z / u,z)) \ w) = K(x,(y \ (u \ z)) \ w). [para(6559(a,1),19632(a,1,2,1,2)),flip(a)]. 19634 K(x,T(T(y / z,y) * u,u \ 1) \ w) = K(x,(((T(y / z,y) * u) \ T(y / z,y)) \ (z \ y)) \ w). [para(6375(a,2),19633(a,1,2,1))]. 19635 T(x,y * (((R(z,u,z) \ w) * z) \ z)) = T(x,y * (z / w)). [hyper(236,a,12996,a(flip),b,19613,a)]. 19637 T(x,y * (((z \ u) * L(z,w,z)) \ z)) = T(x,y * (z / u)). [para(13170(a,1),19635(a,1,2,2,1))]. 19638 T(x,y * (((z \ u) * z) \ R(z,w,z))) = T(x,y * (z / u)). [para(12834(a,1),19637(a,1,2,2))]. 19639 T(x,y * (T(z,u) \ R(u,w,u))) = T(x,y * (u / z)). [hyper(19620,a,19638,a)]. 19640 T(x,y * (T(z,u) \ u)) = T(x,y * (u / z)). [para(338(a,1),19639(a,1,2,2,2))]. 19642 T(x,y * (T(z,u) \ R(u,w,u))) = T(x,y * (R(u,w,u) / z)). [para(8309(a,1),19640(a,1,2,2,1))]. 19643 T(x,y * (L(z,u,K(w,v5)) \ a(v5,u,w))) = T(x,y * (a(v5,u,w) / z)). [para(14670(a,2),19640(a,1,2,2,1))]. 19644 T(x,y * (R(z,u,z) / w)) = T(x,y * (z / w)). [hyper(236,a,19639,a(flip),b,19642,a(flip))]. 19646 T(x,y * (((z \ u) \ u) / w)) = T(x,y * (T(z,u) / w)). [para(8385(a,1),19644(a,1,2,2,1))]. 19647 K(x,y / T(z \ 1,u * (T(w,v5) / v6))) = K(x,y * T(z,u * (((w \ v5) \ v5) / v6))). [para(19646(a,1),16535(a,1,2,2))]. 19648 T(x,y * (a(z,u,w) / v5)) = T(x,y * (v5 \ a(z,u,w))). [hyper(236,a,18117,a(flip),b,19643,a(flip))]. 19650 K(x,K(y,y \ z) \ T(u / z,w)) = K(x,T(u / ((y \ z) * y),w)). [hyper(16755,a,19614,a)]. 19651 K(x,T(y / ((z \ u) * z),w)) = K(x,K(u,z) \ T(y / u,w)). [hyper(236,a,15686,a(flip),b,19650,a(flip))]. 19652 K(x,T(y / ((z \ u) * z),w)) = K(x,T(y / T(u,z),w)). [hyper(236,a,18623,a(flip),b,19651,a)]. 19653 K(x,T(y / T(z,u),u \ z)) = K(x,z \ T(y,u)). [hyper(16434,a,19652,a),flip(a)]. 19654 K(x,T(y / T(z,u),u * z)) = K(x,z \ T(y,u)). [hyper(16373,a,19653,a)]. 19655 K(x \ y,z / T(y,x)) = K(x \ y,y \ T(z,x)). [hyper(5001,a,19653,a)]. 19656 K(x,T(y / T(z \ 1,u),u * (z \ 1))) = K(x,z * T(y,u)). [hyper(236,a,14051,a(flip),b,19654,a)]. 19657 K(x / y,(y \ T(x,y)) \ z) = K(y \ x,x \ T(y * z,y)). [hyper(236,a,16486,a,b,19655,a(flip)),flip(a)]. 19658 K(x,T(y / T(z \ 1,u),u / z)) = K(x,z * T(y,u)). [hyper(16370,a,19656,a)]. 19659 K(x,T(y / T(z \ 1,u),z * u)) = K(x,z * T(y,u)). [hyper(16385,a,19658,a)]. 19660 K(x,T(y * T(z,u),z * u)) = K(x,z * T(y,u)). [hyper(16545,a,19659,a)]. 19661 K(x,(y * z) * R(u,z,y)) = K(x,y * T(u * z,z)). [hyper(13104,a,19660,a)]. 19662 K(x,(y * z) * R(u,z,y)) = K(x,y * (z * u)). [hyper(236,a,18560,a(flip),b,19661,a)]. 19663 K(x,y * R(z,u,y / u)) = K(x,(y / u) * (u * z)). [para(16(a,1),19662(a,1,2,1))]. 19664 K(x,y * R(z,u,u \ y)) = K(x,(y / u) * (u * z)). [para(10679(a,1),19663(a,1,2,2))]. 19665 K(x,((y / z) * u) * (u \ z)) = K(x,(z / u) * (u * (z \ y))). [para(808(a,1),19664(a,1,2))]. 19666 K(x / y,(y \ T(x,y)) \ z) = K(y \ x,x \ (z * y)). [hyper(236,a,13092,a(flip),b,19657,a)]. 19667 K(x / y,(x / y) \ z) = K(y \ x,x \ (z * y)). [hyper(236,a,19472,a(flip),b,19666,a(flip)),flip(a)]. 19668 (x \ T(y,x)) * (z / (x \ T(y,x))) = z * K(x \ y,y \ (z * x)). [para(19666(a,1),13432(a,2,2))]. 19670 x * K(y \ z,z \ (x * y)) != u | (z / y) * (x / (z / y)) = u. [para(19667(a,1),5323(a,1,2))]. 19671 K(x,((y \ z) / u) * (u * ((y \ z) \ z))) = K(x,(y * u) * (u \ (y \ z))). [para(62(a,1),19665(a,1,2,1,1)),flip(a)]. 19673 (x \ T(y,x)) * (z / (x \ T(y,x))) != u | (y / x) * (z / (y / x)) = u. [para(19668(a,2),19670(a,1))]. 19674 K(x * ((T(y,z) / u) \ K(y,w)),v5) = K(x / (T(T(y,w),z) / u),v5). [hyper(19429,a,19629,a)]. 19675 K(x,((y \ z) / u) * (u * T(y,z))) = K(x,(y * u) * (u \ (y \ z))). [hyper(236,a,13155,a(flip),b,19671,a(flip)),flip(a)]. 19676 K(x,((T(y,z \ y) / z) * u) * (u \ ((T(y,z \ y) / z) \ y))) = K(x,(((T(y,z \ y) / z) \ y) / u) * (u * (y / z))). [para(3897(a,1),19675(a,1,2,2,2)),flip(a)]. 19677 K(x,((y * (z / y)) * (y \ 1)) \ u) = K(x,(y \ L(z,y \ 1,y)) \ u). [para(121(a,1),19309(a,1,2,1)),flip(a)]. 19678 K(x,((y * (z / y)) * (y \ 1)) \ u) = K(x,((y \ 1) * z) \ u). [para(392(a,1),19677(a,2,2,1))]. 19679 K(x,K(y,K(z,u)) * ((T(z,y) \ w) \ v5)) = K(x,(T(K(y,z),u) * (z \ w)) \ v5). [para(7886(a,1),19333(a,1,2,1))]. 19680 K((x / y) * K(z,T(u,w)),T(v5,K(z,u) * y)) = K((K(u,T(z,w)) * y) \ x,v5). [para(7260(a,1),19368(a,1,1,2))]. 19681 T(T(x,(y * z) \ u),K((y * z) \ u,w)) = T(x,T((T(z,y) * y) \ u,w)). [para(15738(a,1),19414(a,1,1))]. 19682 T(x,T((T(y,z) * z) \ u,w)) = T(x,T((z * y) \ u,w)). [hyper(7185,a,19681,a),flip(a)]. 19683 T(x,T((y * z) \ u,y * z)) = T(x,u / (T(z,y) * y)). [hyper(13116,a,19682,a),flip(a)]. 19684 T(x,y / (T(z,u) * u)) != w | T(x,y / (u * z)) = w. [para(19683(a,1),8243(a,1))]. 19685 T(x,y / T(z * u,z)) = T(x,y / (u * z)). [hyper(19684,a,15885,a(flip)),flip(a)]. 19686 T(x,y / L(z * (a(u,w,v5) \ 1),w,K(v5,u))) = T(x,y / ((a(u,w,v5) \ 1) * z)). [para(15646(a,1),19685(a,1,2,2))]. 19687 K(x,T(y \ (T(z * u,z) \ w),v5)) != v6 | K(x,T(y \ ((u * z) \ w),v5)) = v6. [para(19491(a,1),14625(a,1))]. 19688 K(x,(T(T(y * z,y),y) \ u) * w) = K(x,(T(z * y,y) \ u) * w). [para(7722(a,1),19563(a,1,2,1,1)),flip(a)]. 19689 K(x,y * ((z / T(u,K(w,v5))) * v6)) != v7 | K(x,y * ((z / u) * v6)) = v7. [para(19573(a,1),17894(a,1))]. 19690 K(x,T((y * z) \ u,z \ u)) = K(x,T(u,z) / (z * y)). [hyper(16549,a,19593,a),flip(a)]. 19691 K(x,T(((1 / y) * ((1 / y) \ z)) \ u,((1 / y) \ z) \ u)) = K(x,T(u,(1 / y) \ z) / (((y \ 1) \ z) * (y \ 1))). [para(2970(a,1),19690(a,2,2,2))]. 19692 K(x,T((y * ((y * z) / y)) \ u,z \ u)) = K(x,T(u,z) / (z * T(y,z))). [para(3875(a,1),19690(a,1,2,1,1))]. 19693 K(x,T((y * (y \ (z \ y))) \ u,(y \ (z \ y)) \ u)) = K(x,T(u,y \ (z \ y)) / ((z \ y) * K(z \ 1,y))). [para(5695(a,1),19690(a,2,2,2))]. 19694 K(x,T((y * ((y * z) / y)) \ u,z \ u)) = K(x,T(u,z) / (y * z)). [para(119(a,1),19692(a,2,2,2))]. 19695 K(x,(T(K(y,z),u) * (z \ w)) \ v5) = K(x,(T(z,y) \ w) \ v5). [hyper(16624,a,19679,a),flip(a)]. 19697 K(x,(K(y,T(z,u)) * (z \ w)) \ v5) = K(x,(T(z,y) \ w) \ v5). [para(6439(a,1),19695(a,1,2,1,1))]. 19698 K(x,(T(y,T(z,u)) \ w) \ v5) = K(x,(T(y,z) \ w) \ v5). [para(7325(a,1),19697(a,1,2,1))]. 19699 K((K(x,T(y,z)) * u) \ w,v5) = K(K(x,y) * (w / u),T(v5,K(y,x) * u)). [hyper(17264,a,19680,a),flip(a)]. 19700 K(K(x,y) * (z / u),T(w,K(y,x) * u)) = K((u \ z) * K(T(y,v5),x),w). [hyper(19245,a,19699,a),flip(a)]. 19702 K(K(x,y) * (z / u),T(w,K(y,x) * u)) = K((u \ z) * K(y,T(x,v5)),w). [para(7260(a,1),19700(a,2,1,2))]. 19703 K(K(x,y) * (z / u),T(w,K(y,x) * u)) = K(K(x,y) * (u \ z),w). [hyper(236,a,17260,a(flip),b,19702,a)]. 19704 K(K(x,y) * (z / u),T(w,u)) = K(K(x,y) * (u \ z),w). [hyper(16989,a,19703,a)]. 19706 K((x * (y * K(z,u))) \ w,v5) = K(K(z,u) * ((x * y) \ w),v5). [hyper(236,a,19581,a(flip),b,19704,a(flip)),flip(a)]. 19707 x / (K(K(y,z) * ((u * w) \ v5),v6) * x) = K(v6,(u * (w * K(y,z))) \ v5). [para(19706(a,1),5266(a,1,2,1))]. 19708 (x * y) / (K(K(z,u) * ((w * v5) \ v6),x) * y) = T(x,(w * (v5 * K(z,u))) \ v6). [para(19706(a,1),5354(a,1,2,1))]. 19709 K(K(x,y) * ((z * (u * x)) \ w),v5) = K((z * (u * T(x,y))) \ w,v5). [para(6201(a,1),19706(a,1,1,1,2)),flip(a)]. 19710 K(K(x,y) * ((z * (u \ 1)) \ w),v5) = K((z * (u \ K(x,y))) \ w,v5). [para(14046(a,1),19706(a,1,1,1,2)),flip(a)]. 19711 K(K(K(x,y),z) * ((u * (w \ K(x,y))) \ v5),v6) = K((u * ((w \ 1) * T(K(x,y),z))) \ v5,v6). [para(14046(a,1),19709(a,1,1,2,1,2))]. 19712 K((x * (K(y,z) / u)) \ w,v5) = K((x * (u \ K(z,y))) \ w,v5). [hyper(236,a,19586,a(flip),b,19710,a(flip)),flip(a)]. 19713 K((((x \ 1) * K(y,z)) * T(u,x \ 1)) \ w,v5) = K((u * (x \ K(T(z,x \ u),y))) \ w,v5). [hyper(236,a,16909,a,b,19712,a(flip)),flip(a)]. 19714 K(x,(y * (z * K(u,w))) \ v5) = K(x,K(u,w) * ((y * z) \ v5)). [hyper(17977,a,19707,a),flip(a)]. 19715 T(x,(y * (z * K(u,w))) \ v5) = T(x,K(u,w) * ((y * z) \ v5)). [hyper(5356,a,19708,a),flip(a)]. 19716 T(x,K(y \ z,y) * ((u * z) \ w)) = T(x,(u * ((y \ z) * y)) \ w). [para(249(a,1),19715(a,1,2,1,2)),flip(a)]. 19717 T(x,K(y,z) * ((u * y) \ w)) = T(x,(u * T(y,z)) \ w). [para(4887(a,2),19715(a,1,2,1,2)),flip(a)]. 19718 T(x,(y * ((z \ u) * z)) \ w) = T(x,K(u,z) * ((y * u) \ w)). [hyper(15808,a,19716,a),flip(a)]. 19719 T(x,(y * ((z \ u) * z)) \ w) = T(x,(y * T(u,z)) \ w). [hyper(236,a,19717,a(flip),b,19718,a)]. 19720 L(x \ L(x,K(y,z),u),x,K(y,z) * T(u,w)) = a(x,K(y,z),T(u,w)). [para(18613(a,1),19190(a,1,3))]. 19722 K(x,y * (((z \ 1) \ u) \ K(z * u,w))) != v5 | K(x,y / T((1 / z) \ u,w)) = v5. [para(5749(a,1),19265(a,1))]. 19723 (x * (y * K(x,T(z,y)))) / R(y,x,x \ 1) = T(((x * y) * (x \ 1)) \ (x * y),z). [para(8232(a,1),19527(a,1,1))]. 19724 K(x,K(y \ 1,y * z) * ((u * z) \ w)) = K(x,(u * T(z,L(y \ 1,y,z))) \ w). [hyper(236,a,19714,a(flip),b,19541,a(flip)),flip(a)]. 19725 (x * (K(x,y) * z)) / R(z,x,x \ 1) = T(((x * z) * (x \ 1)) \ (x * z),y). [para(7281(a,1),19723(a,1,1,2))]. 19726 T(((x * y) * (x \ 1)) \ (x * y),z) = (T(x,z) * y) / R(y,x,x \ 1). [para(4856(a,1),19725(a,1,1)),flip(a)]. 19727 (T(x,y) * z) / R(z,x,x \ 1) = T((x * z) / R(z,x,x \ 1),y). [para(6923(a,1),19726(a,1,1)),flip(a)]. 19728 (T(x,y) * z) / R(z,x,x \ 1) = T(z * (R(z,x,x \ 1) \ x),y). [para(18851(a,1),19727(a,2,1))]. 19729 T(x * (R(x,y,y \ 1) \ y),z) = a(x,y,y \ 1) \ T(y,z). [hyper(18861,a,19728,a),flip(a)]. 19730 a(x,y,y \ 1) \ T(y,z) = T(a(x,y,y \ 1) \ y,z). [para(18833(a,1),19729(a,1,1)),flip(a)]. 19731 K(x,(y * T(z,L(u \ 1,u,z))) \ w) = K(x,((y * z) \ w) * K(u,u * z)). [hyper(16362,a,19724,a),flip(a)]. 19732 K(x,(y * T(z,L(u \ 1,u,z))) \ w) = K(x,K(u,z) * ((y * z) \ w)). [hyper(236,a,16276,a(flip),b,19731,a)]. 19733 K(x,(y * T(z,L(u \ 1,u,z))) \ w) = K(x,(y * T(z,u)) \ w). [hyper(236,a,19197,a(flip),b,19732,a)]. 19734 K(x,(y * T(z,u \ 1)) \ w) = K(x,(y * T(z,u)) \ w). [para(6379(a,1),19733(a,1,2,1,2))]. 19737 K(x,(y * T(z,u)) \ w) * K(x,K(w,y * z)) = K(x,w / (y * T(z,1 / u))). [para(19734(a,1),17204(a,1,1))]. 19738 K(x,y / (z * T(u,1 / w))) = K(x,y / (z * T(u,w))). [hyper(236,a,17074,a(flip),b,19737,a(flip))]. 19739 K(x,y / (z * T(u,w \ 1))) = K(x,y / (z * T(u,w))). [para(62(a,1),19738(a,1,2,2,2,2)),flip(a)]. 19740 K(x * ((y * K(z,u)) \ w),T(v5,y \ w)) = K(((K(z,u) * y) \ w) * x,v5). [hyper(16989,a,19217,a)]. 19741 K(x * (y \ (K(z,u) * w)),T(v5,y \ w)) = K(((K(u,z) * y) \ w) * x,v5). [hyper(19075,a,19740,a)]. 19743 K(x * (K(y,z) * (u \ w)),T(v5,u \ w)) = K(((K(z,y) * u) \ w) * x,v5). [hyper(236,a,19080,a(flip),b,19741,a(flip)),flip(a)]. 19744 K(((K(x,y) * z) \ u) * w,v5) = K(K(y,x) * ((z \ u) * w),v5). [hyper(18255,a,19743,a),flip(a)]. 19745 K(K(x,x \ y) * (((z * x) \ u) * w),v5) = K(((z * (y / (y / x))) \ u) * w,v5). [hyper(236,a,18731,a(flip),b,19744,a(flip))]. 19746 K(K(x,y) * (((z * y) \ u) * w),v5) = K(((z * T(y,x)) \ u) * w,v5). [hyper(236,a,18730,a(flip),b,19744,a(flip))]. 19747 K(K(x,y) * (((z * x) \ u) * w),v5) = K(((z * T(x,y)) \ u) * w,v5). [hyper(16368,a,19746,a)]. 19748 K(K(x,y) * (((z * x) \ u) * w),v5) = K(((z * (y / (y / x))) \ u) * w,v5). [hyper(13393,a,19745,a)]. 19749 K(((x * (y / (y / z))) \ u) * w,v5) = K(((x * T(z,y)) \ u) * w,v5). [hyper(236,a,19747,a(flip),b,19748,a(flip))]. 19750 K(x,((y * (z / y)) \ u) \ T(w,K(y \ z,y))) = K(x,K(z,y) * ((z \ u) \ w)). [hyper(236,a,15677,a(flip),b,19231,a)]. 19751 K(x,((y * (z / y)) \ u) \ T(w,K(y \ z,y))) = K(x,(T(z,y) \ u) \ w). [hyper(236,a,19226,a(flip),b,19750,a)]. 19752 K(x,((y * (z / y)) \ u) \ w) = K(x,(T(z,y) \ u) \ w). [hyper(16671,a,19751,a)]. 19754 K(x,(T(y * z,y) \ u) \ (z \ (T(y,z) \ u))) = a(T(y,z),z,K(x,z \ u)). [hyper(236,a,14896,a(flip),b,19752,a(flip))]. 19755 K(x,(T(y * z,z) \ u) \ w) = K(x,((z * y) \ u) \ w). [para(15(a,1),19752(a,1,2,1,1,2)),flip(a)]. 19756 K(x,(y / (z * y)) \ u) = K(x,((y * z) \ y) \ u). [hyper(236,a,19470,a(flip),b,19755,a(flip)),flip(a)]. 19757 K(x,K(y,((z * u) \ z) \ w) * v5) != v6 | K(x,v5 * K((z / (u * z)) \ w,y)) = v6. [para(19756(a,1),16361(a,1,2,1))]. 19758 K(((x * y) \ z) \ u,L(w,u,K(x,y))) = K((T(y * x,x) \ z) \ u,w). [hyper(19364,a,19297,a)]. 19759 K((T(x * y,y) \ z) \ u,w) != v5 | K(((y * x) \ z) \ u,w) = v5. [para(19758(a,1),17774(a,1))]. 19760 K((x / (y * x)) \ z,u) = K(((x * y) \ x) \ z,u). [hyper(19759,a,19387,a),flip(a)]. 19762 K(x,T((y \ T(z,y)) \ u,w)) = K(x,T((z / y) \ u,w)). [hyper(236,a,9124,a(flip),b,19388,a)]. 19763 K(x,T((T(y,z) \ z) \ u,w)) = K(x,T((z / y) \ u,w)). [para(4117(a,2),19762(a,1,2,1,1))]. 19764 K(x \ (y * ((z \ 1) * (u / (z \ 1)))),w) = K(K(z * u,z) * (x \ (y * u)),w). [hyper(236,a,16342,a(flip),b,19447,a)]. 19765 K(x \ (y * ((z \ 1) * (u / (z \ 1)))),w) = K(K(z,u) * (x \ (y * u)),w). [hyper(236,a,16301,a(flip),b,19764,a)]. 19766 K(x \ (y * ((z \ 1) * (u / (z \ 1)))),w) = K(x \ (y * T(u,z)),w). [hyper(236,a,19456,a(flip),b,19765,a)]. 19767 K(x \ (y * T(z * u,u)),w) = K(x \ (y * (((z * u) \ z) \ z)),w). [hyper(236,a,16529,a,b,19766,a(flip))]. 19768 K(x \ (y * (((z * u) \ z) \ z)),w) = K(x \ (y * (u * z)),w). [hyper(236,a,16527,a(flip),b,19767,a(flip))]. 19769 K(x \ ((1 / y) * (y * z)),u) = K(x \ ((z * y) * (1 / y)),u). [para(6402(a,1),19768(a,1,1,2)),flip(a)]. 19770 K(x \ ((y * z) * (1 / z)),u) = K(x \ L(y,z,z \ 1),u). [para(2923(a,1),19769(a,1,1,2)),flip(a)]. 19771 K(x \ ((y * z) * (z \ 1)),u) = K(x \ L(y,z,z \ 1),u). [hyper(236,a,5736,a(flip),b,19770,a(flip)),flip(a)]. 19772 K(x \ R(y,z,z \ 1),u) = K(x \ L(y,z,z \ 1),u). [para(189(a,1),19771(a,1,1,2))]. 19773 K((1 / x) \ L(y,z,z \ 1),u) = K(R(y,z,z \ 1) * T(x,y),u). [hyper(236,a,15426,a(flip),b,19772,a(flip))]. 19774 K(R(x,y,y \ 1) * T(z,x),u) = K(z * L(x,y,y \ 1),u). [hyper(14638,a,19773,a),flip(a)]. 19775 K(x * R(y,z,z \ 1),u) = K(x * L(y,z,z \ 1),u). [para(15400(a,1),19774(a,1,1))]. 19776 K(a(x,y,y \ 1),T(z,R(x,y,y \ 1))) = K((x \ 1) * L(x,y,y \ 1),z). [hyper(236,a,13413,a,b,19775,a(flip)),flip(a)]. 19777 K(x * L(y * K(z,y),u,u \ 1),T(w,y)) = K((K(y,z) / R(y,u,u \ 1)) \ x,w). [hyper(236,a,17342,a(flip),b,19775,a(flip))]. 19778 K(a(x,y,y \ 1),T(z,R(x,y,y \ 1))) = K(x \ L(x,y,y \ 1),z). [hyper(236,a,14109,a(flip),b,19776,a)]. 19779 K(x \ L(x,y,y \ 1),z) = a(x,y,K(y \ 1,z)). [hyper(17997,a,19778,a),flip(a)]. 19780 K(x \ L(x,y,y \ 1),z) = 1. [hyper(236,a,10189,a(flip),b,19779,a)]. 19782 T(x * 1,y \ L(y,z,z \ 1)) = x. [para(19780(a,1),4853(a,1,1,2))]. 19783 T(x,y \ L(y,z,z \ 1)) = x. [para(12(a,1),19782(a,1,1))]. 19784 T(x,a(y \ 1,y,z) \ 1) = x. [hyper(236,a,13739,a,b,19783,a(flip)),flip(a)]. 19785 x * (a(y \ 1,y,z) \ 1) = a(y \ 1,y,z) \ x. [hyper(18796,a,19784,a)]. 19786 (a(x \ 1,x,y) \ 1) * z = z * (a(x \ 1,x,y) \ 1). [hyper(2261,a,19784,a),flip(a)]. 19787 K(x,L((y \ z) \ (a(u \ 1,u,w) \ 1),a(u \ 1,u,w) \ 1,y)) = K(x,z \ (a(u \ 1,u,w) \ y)). [para(19785(a,1),11485(a,2,2,2))]. 19788 (a(x \ 1,x,y) \ 1) * z = a(x \ 1,x,y) \ z. [hyper(236,a,19785,a(flip),b,19786,a)]. 19789 (x \ L(x,y,y \ 1)) * z = a(y \ 1,y,x) \ z. [hyper(12614,a,19788,a)]. 19790 (a(x \ 1,x,y) \ 1) \ z = a(x \ 1,x,y) * z. [hyper(72,a,13,a(flip),b,19788,a)]. 19791 K((a(x \ 1,x,y) \ 1) / z,L(u,z,w)) = K((a(x \ 1,x,y) \ w) / (z * w),u). [para(19788(a,1),15373(a,1,1,1)),flip(a)]. 19792 (x \ L(x,y,y \ 1)) \ z = a(y \ 1,y,x) * z. [hyper(72,a,13,a(flip),b,19789,a)]. 19793 K((a(x \ 1,x,y) \ z) / ((u \ (y \ L(y,x,x \ 1))) * z),w) != v5 | K(u,L(w,y \ L(y,x,x \ 1),z)) = v5. [para(19789(a,1),15393(a,1,1,1))]. 19794 K(x,L((y \ L(y,z,z \ 1)) / (u / w),y \ L(y,z,z \ 1),(y \ L(y,z,z \ 1)) \ u)) = K(x,(a(z \ 1,z,y) \ w) / u). [para(19789(a,1),18415(a,2,2,1))]. 19795 K(a(x \ 1,x,y) \ (z \ 1),L(u,z,w)) = K((a(x \ 1,x,y) \ w) / (z * w),u). [hyper(14292,a,19791,a)]. 19796 K(T(x / y,z) * u,T((x / y) \ 1,w)) = K((1 \ (x / y)) * u,T(y / x,w)). [para(50(a,1),19496(a,1,1,1,1))]. 19797 K(T(x / y,z) * u,T(y / x,w)) = K((1 \ (x / y)) * u,T(y / x,w)). [hyper(10057,a,19796,a)]. 19798 K(T(x / y,z) * u,T(y / x,w)) = K((x / y) * u,T(y / x,w)). [para(50(a,1),19797(a,2,1,1))]. 19799 K((x / y) * z,T(y / x,u)) = K((y \ x) * z,T(y / x,u)). [hyper(236,a,13434,a(flip),b,19798,a(flip))]. 19800 K(T(x / y,z) * u,T(y / x,w)) = K((y \ x) * u,T(y / x,w)). [hyper(236,a,19798,a,b,19799,a(flip)),flip(a)]. 19801 K(x,K((y \ z) * u,T(y / z,w)) * v5) = K(x,K(u,T((z / y) \ 1,w)) * v5). [para(19800(a,1),19331(a,1,2,1))]. 19802 K(x,K(y,T((z / u) \ 1,w)) * v5) = K(x,v5 * K((u \ z) * y,u / z)). [hyper(16703,a,19801,a),flip(a)]. 19805 K(x,K(y,T((z / u) \ 1,w)) * v5) = K(x,v5 * K((u \ z) * y,z \ u)). [hyper(236,a,16704,a(flip),b,19802,a)]. 19806 K(x,K(y,T(z / u,w)) * v5) = K(x,v5 * K((z \ u) * y,u \ z)). [para(10056(a,1),19805(a,1,2,1))]. 19807 K(x,y * K((z \ u) * w,u \ z)) = K(x,y * K(w,z / u)). [hyper(16703,a,19806,a),flip(a)]. 19808 K(x,y * K((z \ u) * w,u \ z)) = K(x,y * K(w,u \ z)). [hyper(236,a,16704,a(flip),b,19807,a)]. 19809 K(x,K(y \ z,(z \ y) * u) * w) = K(x,w * K(u,y \ z)). [hyper(16281,a,19808,a)]. 19810 ((x * K(x * (y \ z),z \ y)) \ u) \ (K(z \ y,(y \ z) * x) * (x \ T(u,w / (x * K(x * (y \ z),z \ y))))) = T(K(u,(x \ w) * K(x,z \ y)),(x * K(x * (y \ z),z \ y)) \ u). [para(19809(a,1),17428(a,2,1))]. 19811 K(x,(y \ T(z,(u \ T(w,v5)) \ w)) \ v6) = K(x,K(u,z) * ((y \ z) \ v6)). [hyper(236,a,17306,a(flip),b,19612,a)]. 19813 K(x,(y \ T(z,(u \ T(w,v5)) \ w)) \ v6) = K(x,(y \ T(z,u)) \ v6). [hyper(236,a,19200,a(flip),b,19811,a)]. 19814 K(x,(y \ T(z,T(K(u,w) * v5,w))) \ v6) = K(x,(y \ T(z,v5)) \ v6). [para(14483(a,1),19813(a,1,2,1,2))]. 19815 K(x,(y \ T(z,K(u,w) * v5)) \ v6) = K(x,(y \ T(z,v5)) \ v6). [hyper(236,a,19610,a(flip),b,19814,a(flip)),flip(a)]. 19817 K(x,y / (z \ T(u,K(w,v5) * v6))) = K(x,K(y,z \ u)) * K(x,(z \ T(u,v6)) \ y). [para(19815(a,1),17081(a,1,2)),flip(a)]. 19818 K((K(x,y) / R(x,z,z \ 1)) \ u,w) = K(L(T(x,y),z,z \ 1) * u,w). [hyper(236,a,18333,a(flip),b,19777,a(flip))]. 19819 K(R(x,y,y \ 1) * (z * K(x,u)),w) = K(L(T(x,u),y,y \ 1) * z,w). [hyper(236,a,18261,a(flip),b,19818,a(flip)),flip(a)]. 19820 K(L(T(x,y),z,z \ 1) * u,y) = K(R(x,z,z \ 1) * u,y). [hyper(11587,a,19819,a),flip(a)]. 19821 K(R(x,y,y \ 1) * z,u) = K(L(x,y,y \ 1) * z,u). [hyper(236,a,7494,a(flip),b,19820,a(flip))]. 19822 K(L(x,y,y \ 1) * (x \ z),u) = K(a(x,y,y \ 1) * z,u). [para(18827(a,1),19821(a,1,1)),flip(a)]. 19823 K(a(x \ 1,x,y) \ z,u) = K(a(y,x,x \ 1) * z,u). [hyper(236,a,15059,a(flip),b,19822,a(flip)),flip(a)]. 19824 K((a(x \ 1,x,y) \ z) / (u * z),w) = K(a(y,x,x \ 1) * (u \ 1),L(w,u,z)). [hyper(236,a,19795,a(flip),b,19823,a(flip)),flip(a)]. 19825 K(a(x,y,y \ 1) / z,L(u,z,w)) = K((a(y \ 1,y,x) \ w) / (z * w),u). [hyper(236,a,14068,a(flip),b,19824,a),flip(a)]. 19826 K(x \ a(y,z,z \ 1),L(u,x,w)) = K((a(z \ 1,z,y) \ w) / (x * w),u). [hyper(17717,a,19825,a)]. 19827 K(x,y / (z \ T(u,K(w,v5) * v6))) = K(x,y / (z \ T(u,v6))). [hyper(236,a,17081,a(flip),b,19817,a)]. 19828 K(x,y / (z \ T(K(u,w) * v5,v5))) = K(x,y / (z \ (K(u,w) * v5))). [para(118(a,1),19827(a,1,2,2,2)),flip(a)]. 19829 K(x,y / (z \ (K(u,w) * v5))) = K(x,y / (z \ (v5 * K(u,w)))). [para(13311(a,1),19828(a,1,2,2,2)),flip(a)]. 19830 (K(x,y) * z) * (u / (K(x,y) * z)) = (z * K(x,y)) * (u / (z * K(x,y))). [hyper(19196,a,16608,a),flip(a)]. 19832 (x * K(y,z)) * (u / (x * K(y,z))) = x * T(u / T(x,K(y,z)),K(y,z)). [hyper(236,a,18700,a(flip),b,19830,a(flip))]. 19833 (K(x,y) * z) * (K(x,y) / (K(x,y) * z)) = (z * K(x,y)) * (1 / z). [para(14155(a,1),19830(a,2,2))]. 19834 (K(x,y) * z) * ((K(x,y) / z) * K(y,x)) = (z * K(x,y)) * (1 / z). [para(18001(a,1),19833(a,1,2))]. 19835 (K(x,y) * z) * T(1 / z,K(x,y)) = (z * K(x,y)) * (1 / z). [para(14509(a,1),19834(a,1,2))]. 19836 (x * K(y,z)) * (1 / x) = x * (K(y,z) / x). [hyper(236,a,18705,a(flip),b,19835,a(flip))]. 19837 K(x,y) * K(z,z \ K(y,x)) = z * (K(x,y) / z). [hyper(16359,a,19836,a)]. 19838 K(x,y * ((z * T(u / T(z,K(w,v5)),K(w,v5))) / (z * K(w,v5)))) = K(x,y * T(u / (z * K(w,v5)),z * K(w,v5))). [para(19832(a,1),15750(a,1,2,2,1))]. 19839 K(x,y * (z * T(u / T(z,K(w,v5)),K(w,v5)))) = K(x,y * T(u,z * K(w,v5))). [para(19832(a,1),18563(a,1,2,2))]. 19840 K(x,y * (z * (u / T(z,K(w,v5))))) = K(x,y * T(u,z * K(w,v5))). [hyper(16750,a,19839,a)]. 19841 K(x,y * T(K(K(z,u),w) * v5,w)) = K(x,y * T(v5,w * K(z,u))). [hyper(236,a,18553,a,b,19840,a(flip)),flip(a)]. 19842 K(x,y * T(K(z,K(u,w)) * v5,w)) = K(x,y * T(v5,w * K(z,u))). [para(7886(a,1),19841(a,1,2,2,1,1))]. 19843 K(x,y * T(z,u * K(w,v5))) != v6 | K(x,y * T(z,u)) = v6. [para(19842(a,1),16773(a,1))]. 19844 K(x,y * T(z,T(u,w) \ v5)) != v6 | K(x,y * T(z,u \ v5)) = v6. [para(8578(a,1),19843(a,1,2,2,2))]. 19845 K(x,y * T(z,T(u,w) \ v5)) = K(x,y * T(z,u \ v5)). [hyper(19844,a,xx),flip(a)]. 19846 K(x,y / T(z \ 1,u \ w)) = K(x,y * T(z,T(u,v5) \ w)). [hyper(236,a,16535,a,b,19845,a),flip(a)]. 19847 K(K(x,K(y,z)) * ((u * (w \ K(x,y))) \ v5),v6) = K((u * ((w \ 1) * T(K(x,y),z))) \ v5,v6). [para(7886(a,1),19711(a,1,1,1))]. 19848 K((((x \ 1) * K(y,z)) * T(u,x \ 1)) \ w,v5) = K((u * (x \ K(z,T(y,x \ u)))) \ w,v5). [para(7260(a,1),19713(a,2,1,1,2,2))]. 19849 K((x * ((y \ 1) * T(K(z,u),w))) \ v5,v6) = K((x * (y \ K(z,u))) \ v5,v6). [hyper(16651,a,19847,a),flip(a)]. 19851 K((x * ((y \ 1) * K(z,T(u,w)))) \ v5,v6) = K((x * (y \ K(z,u))) \ v5,v6). [para(6439(a,1),19849(a,1,1,1,2,2))]. 19852 K((x * (y \ K(z,T(u,w)))) \ v5,v6) = K((x * (y \ K(z,u))) \ v5,v6). [para(14046(a,1),19851(a,1,1,1,2))]. 19853 K((((x \ 1) * K(y,z)) * T(u,x \ 1)) \ w,v5) = K((u * (x \ K(z,y))) \ w,v5). [hyper(236,a,19852,a(flip),b,19848,a)]. 19855 K(((x \ K(y,z)) * T(u,x \ 1)) \ w,v5) = K((u * (x \ K(z,y))) \ w,v5). [para(14046(a,1),19853(a,1,1,1,1))]. 19856 K(((x \ K(y,z)) * T(u,x)) \ w,v5) = K((u * (x \ K(z,y))) \ w,v5). [hyper(236,a,19597,a(flip),b,19855,a(flip)),flip(a)]. 19857 K(x * K((y * (z \ K(u,w))) \ v5,x),v6) = K(x,T(v6,((z \ K(w,u)) * T(y,z)) \ v5)). [para(19856(a,1),8085(a,1,1,2))]. 19858 K(x,T(y,((z \ K(u,w)) * T(v5,z)) \ v6)) = K(x,T(y,(v5 * (z \ K(w,u))) \ v6)). [hyper(8428,a,19857,a),flip(a)]. 19859 K(x,T(y,((z \ K(u,w)) * T(v5,z)) \ v6)) = K(x,T(y,v5 \ ((z \ K(w,u)) \ v6))). [hyper(236,a,17930,a(flip),b,19858,a)]. 19860 K(x,T(y,(z \ K(u,w)) \ (T(v5,z) \ v6))) = K(x,T(y,v5 \ ((z \ K(w,u)) \ v6))). [hyper(17931,a,19859,a)]. 19861 K(x,T(y,z * (K(u,w) * (T(v5,z) \ v6)))) = K(x,T(y,v5 \ ((z \ K(u,w)) \ v6))). [para(18017(a,1),19860(a,1,2))]. 19862 K(x,T(y,z \ ((u \ K(w,v5)) \ v6))) = K(x,T(y,u * (T(z,u) \ v6))). [hyper(16994,a,19861,a),flip(a)]. 19863 K(x,T(y,z \ ((u \ K(w,v5)) \ v6))) = K(x,T(y,u * (z \ v6))). [hyper(236,a,17177,a(flip),b,19862,a)]. 19864 K(x,T(y,z \ (u * (w \ K(v5,v6))))) = K(x,T(y,w * (u \ z))). [hyper(17942,a,19863,a)]. 19866 K(x,T(y,z * (u * (w \ K(v5,v6))))) = K(x,T(y,w * (u \ z))). [hyper(16373,a,19864,a)]. 19867 x * (K(y,z) * K(u,u \ K(z,y))) = x / ((u \ K(z,y)) * u). [hyper(236,a,19171,a(flip),b,19216,a(flip)),flip(a)]. 19869 x / ((y \ K(z,u)) * y) = x * (y * (K(u,z) / y)). [para(19837(a,1),19867(a,1,2)),flip(a)]. 19870 1 / (x * (K(y,z) / x)) = (x \ K(z,y)) * x. [hyper(522,a,19869,a)]. 19871 (x \ 1) * (K(y,z) * x) = (x \ K(y,z)) * x. [hyper(236,a,18712,a(flip),b,19870,a(flip)),flip(a)]. 19872 K(x,y) * L(z,z \ K(x,y),z) = z * ((z \ 1) * (K(x,y) * z)). [para(19871(a,2),433(a,2,2))]. 19873 x * ((x \ 1) * (K(y,z) * x)) = K(y,z) * (1 / (1 / x)). [para(14557(a,1),19872(a,1,2)),flip(a)]. 19874 x * ((x \ 1) * (K(y,z) * x)) = K(y,z) / (1 / x). [hyper(236,a,14500,a(flip),b,19873,a)]. 19876 x * ((x \ K(y,z)) * x) = K(y,z) / (1 / x). [para(19871(a,1),19874(a,1,2))]. 19877 K(x,y) \ (a(x,z \ 1,K(y,z * u)) * u) = (1 / z) * ((K(x,y) * (1 / z)) \ u). [para(7602(a,1),19290(a,1,2,1,3))]. 19878 K(x,y) * (a(y,z \ 1,K(x,z * u)) * u) = (1 / z) * ((K(y,x) * (1 / z)) \ u). [hyper(5286,a,19877,a)]. 19880 K(x,L(y,z \ 1,z * u)) * u = (1 / z) * ((K(y,x) * (1 / z)) \ u). [hyper(236,a,14653,a(flip),b,19878,a(flip)),flip(a)]. 19881 K(x,L(y,z \ 1,z * u)) * u = (1 / z) * ((K(y,x) / z) \ u). [para(14500(a,1),19880(a,2,2,1))]. 19882 K(K(x,L(y,z,u)) * (((K(x,y) * z) * u) \ w),v5) = K((z * u) \ w,v5). [hyper(17774,a,19361,a),flip(a)]. 19883 K(K(x,y) * (((K(x,y) * z) * u) \ w),v5) = K((z * u) \ w,v5). [hyper(18110,a,19882,a)]. 19886 K(x,y * ((z * K(u,w)) \ v5)) * K(x,K(y,z \ v5)) = K(x,((z * K(u,w)) \ v5) * y). [para(17028(a,1),19199(a,1,2))]. 19888 x * ((T(x \ y,z) \ 1) * (x \ y)) = y * ((((y \ x) \ 1) \ 1) * K(z,1 \ ((y \ x) \ 1))). [para(5665(a,1),19211(a,1,2))]. 19889 x * ((T(x \ y,z) \ 1) * (x \ y)) = y * (T((y \ x) \ 1,z) \ 1). [para(8579(a,1),19888(a,2,2))]. 19890 (T(x \ 1,y) * z) * (u / (T(x \ 1,y) * z)) = u * K(T(x,y) \ z,T(x,y) * (z \ u)). [para(19304(a,1),19332(a,2,2))]. 19891 (T(x \ 1,y) * y) * (z / (T(x \ 1,y) * y)) = z * K(x \ T(y,x),T(x,y) * (y \ z)). [para(4117(a,1),19890(a,2,2,1))]. 19892 x * K(y \ T(z,y),T(y,z) * (z \ x)) = (z * (y \ 1)) * (x / (z * (y \ 1))). [hyper(15811,a,19891,a),flip(a)]. 19893 (x * (y \ 1)) * (z / (x * (y \ 1))) = z * K(x / y,T(y,x) * (x \ z)). [para(13431(a,1),19892(a,1,2)),flip(a)]. 19894 (x * (y \ 1)) * (z / (x * (y \ 1))) = z * K(y \ x,(x \ z) * T(y,x)). [para(16335(a,1),19893(a,2,2))]. 19895 (x * (y \ 1)) * (z / (x * (y \ 1))) = z * K(y \ x,(x \ z) * y). [para(13132(a,1),19894(a,2,2))]. 19896 x * K(y \ z,(z \ x) * y) = (z / y) * (x / (z / y)). [hyper(236,a,15018,a(flip),b,19895,a(flip))]. 19897 K(x / y,(x / y) \ z) = K(y \ x,(x \ z) * y). [hyper(17,a,5079,a,b,19896,a),flip(a)]. 19898 (x * (1 / y)) * (z / (x * (1 / y))) = (x / y) * (z / (x / y)). [hyper(236,a,15279,a,b,19896,a(flip)),flip(a)]. 19899 (x / (K(x,x \ y) * z)) * (y / (x / (K(x,x \ y) * z))) = y * K((K(x,x \ y) * z) \ x,(y / x) * z). [para(5571(a,1),19896(a,1,2,2)),flip(a)]. 19900 (T(x,y) / y) * (z / (T(x,y) / y)) = z * K(x / y,(T(x,y) \ z) * y). [para(13431(a,1),19896(a,1,2)),flip(a)]. 19901 K(x / y,z * (y / x)) = K(y \ x,(x \ z) * y). [hyper(236,a,18247,a(flip),b,19897,a(flip)),flip(a)]. 19902 K(x / y,(x \ y) * z) = K(y \ x,(x \ z) * y). [hyper(236,a,13580,a,b,19901,a(flip)),flip(a)]. 19903 x * K(y / z,(y \ z) * x) = (y / z) * (x / (y / z)). [para(19902(a,2),19896(a,1,2))]. 19904 ((x / y) \ 1) * (z / ((x / y) \ 1)) = (y / x) * (z / (y / x)). [hyper(236,a,13579,a,b,19903,a(flip)),flip(a)]. 19905 K(x / (y * (1 / z)),y * (1 / z)) = ((y / z) * (x / (y / z))) \ x. [para(19898(a,1),99(a,1,1)),flip(a)]. 19906 ((x / y) \ K(y,z)) * (u / ((x / y) \ K(y,z))) = (T(y,z) / x) * (u / (T(y,z) / x)). [hyper(16861,a,19904,a)]. 19907 K(x / (y * (1 / z)),y * (1 / z)) = K((y / z) \ x,y / z). [hyper(236,a,5080,a(flip),b,19905,a)]. 19908 K(x / (y * (1 / z)),y * (1 / z)) = K(y \ (z * x),y / z). [hyper(236,a,10757,a(flip),b,19907,a)]. 19909 K(x / (y * (1 / z)),y / z) = K(y \ (z * x),y / z). [hyper(14304,a,19908,a)]. 19910 K(x / (y * (z \ 1)),y / z) = K(y \ (z * x),y / z). [hyper(16590,a,19909,a)]. 19911 K(x \ (y * z),x / y) = K(y * (x \ z),x / y). [hyper(236,a,15069,a(flip),b,19910,a(flip))]. 19912 K(x * (y \ T(z,u)),y / x) = K(y \ (z * x),T(x \ y,u)). [hyper(236,a,15911,a(flip),b,19911,a(flip))]. 19913 (T(x,y) / y) * (z / (T(x,y) / y)) = z * K(y \ x,y * (T(x,y) \ z)). [para(13029(a,1),19900(a,2,2))]. 19914 (T(x,y) / y) * (z / (T(x,y) / y)) = z * K(y \ x,y * (x \ z)). [para(19560(a,1),19913(a,2,2))]. 19915 (((x * T(y,z)) / y) \ K(y,z)) * (u / (((x * T(y,z)) / y) \ K(y,z))) = (((x * T(y,z)) \ T(y,z)) * K(x * T(y,z),x \ 1)) * (u / (T(y,z) / (x * T(y,z)))). [para(5803(a,2),19906(a,2,1))]. 19916 K(x,K(y,K(y \ z,u)) * ((((y \ z) * y) \ w) \ v5)) = K(x,(T(K(y,y \ z),u) * (z \ w)) \ v5). [para(7886(a,1),19334(a,1,2,1))]. 19917 K(x,K(y,K(y \ z,u)) * (((y * (z / y)) * w) \ v5)) = K(x,(T(K(y,y \ z),u) * (z * w)) \ v5). [para(7886(a,1),19335(a,1,2,1))]. 19918 K(x,((y \ z) * y) \ (((y \ z) * u) * y)) = K(x,z \ T(((z / y) * u) * y,K(y,z))). [para(14(a,1),19344(a,1,2,1)),flip(a)]. 19920 K(x,((y \ z) * y) \ (((y \ z) * u) * y)) != w | K(x,z \ (((z / y) * u) * y)) = w. [para(19918(a,2),16671(a,1))]. 19921 K(x,T((y * ((z * u) / z)) \ w,v5)) != v6 | K(x,T((y * T(u,z)) \ w,v5)) = v6. [para(19412(a,2),9125(a,1))]. 19922 K(x,T((y * T(z,y)) \ u,z \ u)) = K(x,T(u,z) / (y * z)). [hyper(19921,a,19694,a)]. 19923 K(x,T((y * z) \ u,y \ u)) = K(x,T(u,y) / (z * y)). [para(119(a,1),19922(a,1,2,1,1))]. 19924 K(x / ((K(y,z) * T(z,u)) / T(w,T(z * K(y,z),u))),v5) = K(x / ((w \ T(z,u)) * K(y,z)),v5). [para(18614(a,2),19519(a,1,1,2,2))]. 19925 K(L(x,y / x,K(z,u) * w),v5) = K((w * (y / x)) \ (w * y),v5). [hyper(19578,a,19883,a)]. 19926 K(L(x,y / x,K(z,u) * w),v5) = K(x,L(v5,y,w)). [hyper(236,a,11478,a(flip),b,19925,a)]. 19927 K(x,L(y,z,K(u,w) * v5)) = K(x,L(y,z,v5)). [hyper(11575,a,19926,a)]. 19928 K(x,L(y,z,u * K(w,v5))) = K(x,L(y,z,u)). [hyper(17847,a,19927,a)]. 19929 K(x,L(y,z * (K(u,w) * v5),K(u,w) * v5)) = K(x,L(y,z,v5)). [hyper(236,a,15471,a,b,19927,a(flip)),flip(a)]. 19930 K(x,L(K(y,z) * (z / (u / w)),z * K(y,z),z \ u)) = K(x,(z * (K(y,z) * w)) / u). [hyper(236,a,19062,a(flip),b,19927,a(flip))]. 19931 K(x,L(y,z,T(u,w) \ v5)) = K(x,L(y,z,u \ v5)). [para(5178(a,1),19927(a,1,2,3)),flip(a)]. 19932 K(x,L(y,z,u \ T(w,v5))) = K(x,L(y,z,u \ w)). [para(5540(a,1),19927(a,1,2,3)),flip(a)]. 19933 (K(x,y) * z) * (T(x,z) * K(u,w)) = (T(x,y) * z) * K(u,L(w,x,z)). [para(19927(a,1),11759(a,1,2)),flip(a)]. 19934 a(x,y,K(K(z,u) * w,v5)) = K(v5,x) * K(x,L(v5,y,w)). [para(19927(a,1),13999(a,1,2)),flip(a)]. 19935 K(x,L(y,z,u)) * (z * (K(w,v5) * u)) = (K(x,y) * z) * (K(w,v5) * u). [para(19927(a,1),15367(a,1,1))]. 19936 K(x,L(y,z,u / K(w,v5))) = K(x,L(y,z,u)). [para(16(a,1),19928(a,1,2,3)),flip(a)]. 19937 K(x,L(y,z,u \ (w / v5))) = K(x,L(y,z,u \ (v5 \ w))). [para(14228(a,1),19928(a,1,2,3))]. 19938 K(x * (y * K(z,u)),L(w,x,y)) != v5 | K(x * (y * K(z,u)),w) = v5. [para(19928(a,1),14574(a,1))]. 19939 K(x,L(y,z,u \ K(w,v5))) != v6 | K(x,L(y,z,u \ 1)) = v6. [para(19936(a,1),14831(a,1))]. 19940 K(x,L(T(y,z) / (u / w),T(y,z),y \ u)) = K(x,(T(y,z) * w) / u). [hyper(236,a,18415,a(flip),b,19931,a(flip))]. 19941 K(x,L((y * K(z,u)) \ w,u,y \ u)) = K(x,u \ ((T(u,z) / y) * w)). [hyper(236,a,17822,a(flip),b,19932,a(flip))]. 19942 a(x,y,K(K(z,u) * w,v5)) = a(x,y,K(w,v5)). [hyper(236,a,13999,a(flip),b,19934,a)]. 19943 a(x,y,K(z * K(u,w),v5)) = a(x,y,K(z,v5)). [hyper(17996,a,19942,a)]. 19944 a(x,y,K(K(z,u) * w,v5)) = a(v5,y,K(x,w)). [hyper(236,a,13990,a(flip),b,19942,a)]. 19945 a(x,y,K((z / u) \ w,v5)) = a(x,y,K((u \ z) \ w,v5)). [para(5507(a,1),19942(a,1,3,1))]. 19946 a(x,y,K((z / u) * w,v5)) = a(x,y,K((u \ z) * w,v5)). [para(5546(a,1),19942(a,1,3,1)),flip(a)]. 19947 (K(x,y) * z) * a(u,w,K(z,v5)) != v6 | T(K(x,y) * z,a(u,w,v5)) = v6. [para(19942(a,1),13866(a,1,2))]. 19948 a(x,y,K(z \ K(u,w),v5)) = a(x,y,K(z \ 1,v5)). [para(14093(a,1),19942(a,1,3,1))]. 19949 a(x,T(y,z),K(u,w)) * K(x,(w * T(y,z)) \ (y * u)) = K(x,T(y,z) \ (w \ (y * u))). [para(19942(a,1),18875(a,1,1))]. 19950 a(x,y,K(z,u)) * K(u,z * K(w,v5)) = K(u,L(z * K(w,v5),y,x)). [para(19943(a,1),11513(a,1,1))]. 19952 a(x,y,K(z,K(u,w) * v5)) = a(x,y,K(z,v5)). [hyper(14287,a,19944,a)]. 19953 L(x,y,K(K(z,u) * w,v5)) = a(v5,y,K(x,w)) * x. [para(19944(a,1),14671(a,1,1)),flip(a)]. 19954 a(x,y,K(z,u \ (w / v5))) = a(x,y,K(z,u \ (v5 \ w))). [para(16523(a,1),19952(a,1,3))]. 19955 a(x,y,K(z \ 1,u)) * (z \ K(w,v5)) = L(z \ K(w,v5),y,K(u,x)). [para(19948(a,1),14674(a,1,1))]. 19956 L(x,y,K(K(z,u) * w,v5)) = L(x,y,K(w,v5)). [hyper(236,a,14674,a(flip),b,19953,a)]. 19957 L(x,y,K(z,u \ K(w,v5))) = L(x,y,K(u,z)). [hyper(236,a,14721,a(flip),b,19956,a(flip)),flip(a)]. 19959 L(x,y,K(z,u \ T(w,v5))) = L(x,y,K(w \ u,z)). [para(15735(a,1),19957(a,1,3))]. 19960 a((x / y) \ z,u,K(w,v5)) = a(v5,u,K((y \ x) \ z,w)). [hyper(14073,a,19945,a)]. 19961 a(x,y,K((z \ u) * K(w,v5),v6)) = a(x,y,K(u * (z \ K(w,v5)),v6)). [para(19369(a,1),19946(a,1,3)),flip(a)]. 19962 K(x,y / (z * u)) * a(u,y,K(x,z \ (u \ y))) = K(x,(y / u) / z). [para(19954(a,1),17995(a,1,2))]. 19963 a((x / y) \ z,u,K(w,v5)) = a((y \ x) \ z,u,K(w,v5)). [hyper(236,a,13990,a,b,19960,a)]. 19964 a((x \ y) \ z,z,K(u,z \ y)) \ K(u,(z * x) / y) = K(u,z / (y / x)). [para(19963(a,1),18416(a,1,1))]. 19965 K(x,L(y,z * (K(u,w) * v5),v5)) = K(x,L(y,z,v5)). [hyper(236,a,19927,a(flip),b,19929,a(flip)),flip(a)]. 19967 K(x * (y \ z),T(R(y / x,x,y \ z),u)) = K(x * ((y \ z) * K(u,z)),y / x). [hyper(19938,a,18174,a),flip(a)]. 19968 K(x,L((y * (z \ u)) / (u / z),w,v5)) = a(v5,w,K(y,x)) * K(x,y * K(z \ u,z)). [para(6482(a,2),19950(a,2,2,1)),flip(a)]. 19969 K(x,L((y * (z / u)) / (u \ z),w,v5)) = a(v5,w,K(y,x)) * K(x,y * K(u,u \ z)). [para(7860(a,2),19950(a,2,2,1)),flip(a)]. 19970 a(x,y,K(z,u)) * (x \ K(w,v5)) = L(x \ K(w,v5),y,K(u,z)). [para(14010(a,1),19955(a,1,1))]. 19971 L(x \ K(y,z),u,K(w,v5)) = L(x,u,K(w,v5)) \ K(y,z). [hyper(236,a,14770,a(flip),b,19970,a(flip))]. 19972 K(x,y) \ L(x \ K(x,y),z,K(u,w)) = L(x,z,K(u,w)) \ 1. [para(19971(a,2),18574(a,1,2))]. 19973 K(x,y) * L(y \ K(y,x),z,K(u,w)) = L(y,z,K(u,w)) \ 1. [hyper(5286,a,19972,a)]. 19974 a(x,y,K(z * (u \ K(w,v5)),v6)) = a(x,y,K(u \ z,v6)). [hyper(236,a,19943,a(flip),b,19961,a(flip))]. 19975 a(x * (y \ K(z,u)),w,K(v5,v6)) = a(v6,w,K(y \ x,v5)). [hyper(14073,a,19974,a)]. 19977 a(x * (y \ K(z,u)),w,K(v5,v6)) = a(y \ x,w,K(v5,v6)). [hyper(236,a,13990,a,b,19975,a)]. 19978 a((x \ K(y,z)) * u,w,K(v5,v6)) = a(x \ u,w,K(v5,v6)). [hyper(17842,a,19977,a)]. 19979 K(x,L(y,z,(K(u,w) * (v5 \ 1)) * v6)) = K(x,y) * a(v5 \ v6,z,K(y,x)). [para(19978(a,1),18928(a,1,2)),flip(a)]. 19981 (K(x,y) * z) * (K(y,T(x,z)) * u) = z * L(u,K(y,x),z). [hyper(236,a,19350,a(flip),b,19935,a(flip))]. 19982 (K(x,y) * z) * (K(u,w) * v5) != v6 * (z * (K(u,w) * v5)) | K(x,L(y,z,v5)) = v6. [para(19935(a,1),20(a,1))]. 19983 (x * K(y,z)) * (K(z,y) * u) = x * L(u,K(z,y),x). [hyper(11113,a,19981,a)]. 19984 L(x,K(y,z),u * K(z,y)) = L(x,K(y,z),u). [hyper(7564,a,19983,a)]. 19985 K(x,L(y,(z * K(u,w)) * (K(w,u) * v5),L(v5,K(w,u),z))) = K(x,L(y,z,L(v5,K(w,u),z))). [para(19983(a,2),15471(a,1,2,2))]. 19986 K(x,y) * L(K(y,x) * z,K(x,y),u) = K(x,y) * (u \ ((u / K(x,y)) * z)). [para(19984(a,1),10475(a,1,2))]. 19988 T(K(x,y) * z,a(u,w,v5)) = K(x,y) * L(z,w,K(v5,u)). [hyper(19947,a,14701,a)]. 19989 K(x,y) * L(T(z,K(y,x)),u,K(w,v5)) = T(z * K(x,y),a(v5,u,w)). [para(7990(a,1),19988(a,1,1)),flip(a)]. 19990 T(K(x,y) * z,a(u,w,v5)) = K(x,y) * T(z,a(u,w,v5)). [para(14670(a,1),19988(a,2,2))]. 19991 K(x,y) * L(z,u,K(w,v5)) != v6 | L(K(x,y) * z,u,K(w,v5)) = v6. [para(19988(a,1),14749(a,1))]. 19992 T(x * K(y,z),a(u,w,v5)) = T(x,a(u,w,v5)) * K(y,z). [hyper(6141,a,19990,a),flip(a)]. 19993 T(x * K(y,z),a(u,w,v5)) = L(x,w,K(v5,u)) * K(y,z). [para(14670(a,2),19992(a,2,1))]. 19994 L(x,y,K(z,u)) * K(w,v5) != v6 | L(x * K(w,v5),y,K(z,u)) = v6. [para(19993(a,1),14749(a,1))]. 19995 L(K(x,y) * (y \ K(y,x)),z,K(u,w)) = L(y,z,K(u,w)) \ 1. [hyper(19991,a,19973,a)]. 19996 L(x \ 1,y,K(z,u)) = L(x,y,K(z,u)) \ 1. [para(5263(a,1),19995(a,1,1))]. 19997 L(x \ 1,y * x,K(z,u)) = L(x,y,K(z,u)) \ 1. [para(14741(a,1),19996(a,2,1))]. 19998 L(L(L(x \ 1,y,K(z,u)),L(x,y,K(z,u)),y),y * L(x,y,K(z,u)),K(u,z)) = ((K(u,z) * y) * x) \ (K(u,z) * y). [para(19996(a,2),14794(a,1,1,1))]. 19999 L(x \ 1,y * x,K(z,u)) = L(x \ 1,y,K(z,u)). [hyper(236,a,19996,a,b,19997,a)]. 20000 L(L(L(x \ 1,y,K(z,u)),x,y),K(z,u) * (y * x),K(u,z)) = (K(u,z) * (K(z,u) * (y * x))) \ y. [para(19999(a,1),5952(a,1,1,1))]. 20001 L(T(x,K(y,z)),u,K(w,v5)) = T(x,a(v5,u,w) * K(z,y)). [hyper(17,a,17727,a,b,19989,a)]. 20002 L(T(x,K(y,z)),u,K(w,v5)) = T(x,K(z,y) * a(v5,u,w)). [hyper(236,a,16123,a,b,20001,a)]. 20003 a(x,y,z) * L(T(u,K(w,v5)),y,K(z,x)) = T(u * a(x,y,z),K(v5,w)). [para(20002(a,2),17809(a,1,2))]. 20004 K(x,y / (z * u)) * a(u,y,K(x,z \ y)) = K(x,(y / u) / z). [para(14394(a,1),19962(a,1,2))]. 20005 K(x,(y * L(z \ 1,z,u)) / u) = K(x,(y / z) / u). [hyper(236,a,18741,a(flip),b,20004,a(flip)),flip(a)]. 20006 K(x,L(y / (z * u),y,y \ z)) = K(x,(y / u) / z). [hyper(236,a,18418,a,b,20005,a(flip)),flip(a)]. 20007 K(x,L((y * z) / (y * u),y,z \ 1)) = K(x,((y * z) / u) / y). [hyper(14835,a,20006,a)]. 20008 a(x,y,z) * L(T(u,K(w,v5)),y,K(z,x)) = T(u * a(x,y,z),K(w,v5)). [hyper(236,a,7981,a,b,20003,a)]. 20009 T(x * a(y,z,u),K(w,v5)) = T(x,K(w,v5)) * a(y,z,u). [hyper(14683,a,20008,a),flip(a)]. 20010 (a(x,y,z) * u) \ T(T(u * a(x,y,z),K(w,v5)),T(u,K(w,v5))) = K(u,K(w,v5)). [para(20009(a,2),13861(a,1,2,1))]. 20011 K(x,L(y,z,(K(u,w) * (v5 \ 1)) * v6)) = K(x,L(y,z,v5 \ v6)). [hyper(236,a,11482,a(flip),b,19979,a)]. 20013 K(x,L(y,z,(u \ K(w,v5)) * v6)) = K(x,L(y,z,u \ v6)). [para(14093(a,1),20011(a,1,2,3,1))]. 20014 K(x,L(y,z,u * (w \ K(v5,v6)))) = K(x,L(y,z,w \ u)). [hyper(17847,a,20013,a)]. 20015 K(x,L(y,z,u * (w \ 1))) = K(x,L(y,z,w \ u)). [para(5071(a,1),20013(a,1,2,3))]. 20016 K(x,L(y,(z * (u \ 1)) \ w,z * (u \ 1))) = K(x,L(y,w,u \ z)). [hyper(236,a,14565,a,b,20015,a(flip)),flip(a)]. 20017 K(x,L(y,z,(K(u,w) * v5) \ v6)) = K(x,L(y,z,v6 * (v5 \ 1))). [para(14513(a,1),20014(a,1,2,3,2)),flip(a)]. 20018 K(x,L(y,z,(K(u,w) * v5) \ v6)) = K(x,L(y,z,v5 \ v6)). [hyper(236,a,20015,a(flip),b,20017,a)]. 20019 x \ (y * ((K(z,u) * y) \ x)) = K(u,L(T(z,x),y,y \ x)). [hyper(236,a,15538,a(flip),b,20018,a(flip)),flip(a)]. 20020 x * K(y,L(T(z,u),u,u \ x)) = (x / (K(z,y) * u)) * u. [para(20018(a,1),17825(a,1,2))]. 20022 x \ (y * ((a(z,u,K(w,v5)) * y) \ x)) = K(a(w,u,z),L(T(v5,x),y,y \ x)). [para(13995(a,2),20019(a,1,2,2,1,1))]. 20023 (x / y) * (y * K(z,T(u,y))) = (x / (K(u,z) * y)) * y. [hyper(236,a,11505,a(flip),b,20020,a(flip)),flip(a)]. 20025 (x / (K(y,z) * u)) * u = (x / u) * (K(z,y) * u). [hyper(7286,a,20023,a),flip(a)]. 20026 (K((x / y) \ 1,z) * ((x / y) * y)) / y = x / (K(z,(x / y) \ 1) * y). [hyper(74,a,5945,a,b,20025,a)]. 20027 (K(x,y) * z) * R((K(x,y) * z) \ u,z,z \ (K(x,y) * z)) = ((u / z) * (K(y,x) * z)) * (z \ (K(x,y) * z)). [para(20025(a,1),808(a,2,1))]. 20028 K(x,L(y,(z * (u \ 1)) \ w,u \ z)) = K(x,L(y,w,u \ z)). [hyper(236,a,20015,a(flip),b,20016,a(flip)),flip(a)]. 20029 (K(x / y,z) * ((y / x) * x)) / x = y / (K(z,(y / x) \ 1) * x). [para(5699(a,1),20026(a,1,1,1))]. 20030 x / (K(y,(x / z) \ 1) * z) = (K(z / x,y) * x) / z. [para(16(a,1),20029(a,1,1,2)),flip(a)]. 20031 x / (K(y,(x / z) \ 1) * z) = (x * K(x \ z,y)) / z. [para(7336(a,1),20030(a,2,1))]. 20032 x / (K(y,(x / z) \ 1) * z) = K(z / x,y) * (x / z). [hyper(236,a,10344,a(flip),b,20031,a)]. 20033 x / (y * K(z,x \ y)) = K(y / x,z) * (x / y). [para(6425(a,1),20032(a,1,2))]. 20034 ((x \ y) \ K(x \ y,z)) * ((x \ y) * (K(z,x \ y) * T(K(y / x,z) * (x / y),y * K(z,x \ y)))) = (y * K(z,x \ y)) \ x. [para(20033(a,1),12258(a,1,2,2,2,1))]. 20035 a(x,y,K((z \ u) \ y,y \ u)) * K(x,(y * z) / u) = K(x,y / (u / z)). [hyper(14603,a,19964,a)]. 20036 K(x,y) * L(K(y,x) * z,K(x,y),u) = K(x,y) * (u \ ((u * K(y,x)) * z)). [para(7547(a,1),19986(a,2,2,2,1))]. 20037 (a(x,y,z) * u) \ T(T(u * a(x,y,z),K(w,v5)),u) = K(u,K(w,v5)). [para(16118(a,1),20010(a,1,2))]. 20038 (a(x,y,z) * u) \ T(a(x,y,z) * u,K(w,v5)) = K(u,K(w,v5)). [para(13862(a,1),20037(a,1,2))]. 20040 K(x,K(y,z)) * (a(u,w,v5) * x) = T(a(u,w,v5) * x,K(y,z)). [para(20038(a,1),3194(a,1,1))]. 20041 T(a(x,y,z) * u,K(w,v5)) = a(x,y,z) * T(u,K(w,v5)). [hyper(17721,a,20040,a),flip(a)]. 20042 K(x,K(y,a(z,u,w) * v5)) = K(v5,K(x,y)). [hyper(18,a,7934,a,b,20040,a),flip(a)]. 20043 K(x * a(y,z,u),K(w,v5)) = K(x,K(w,v5)). [hyper(16096,a,20042,a)]. 20044 T(x,K(y,a(z,u,w) * v5)) = x * K(v5,K(y,x)). [para(20042(a,1),7924(a,1,2)),flip(a)]. 20045 T(K(x,K(y,z)) * u,K(y,K(z,a(w,v5,v6) * x))) / u = K(y,K(z,x * a(w,v5,v6))). [para(20042(a,1),16390(a,1,1,1,1))]. 20046 K(x * a(y,z,u),w) \ K(x,K(w,v5)) = K(w,T(x * a(y,z,u),v5)). [hyper(72,a,20043,a(flip),b,8039,a)]. 20047 K(x,T(y,z * a(u,w,v5))) = K(x,y) * K(z,K(x,y)). [para(20043(a,1),7979(a,1,2)),flip(a)]. 20048 T(x,K(y,a(z,u,w) * v5)) = T(x,K(y,v5)). [hyper(236,a,7893,a(flip),b,20044,a)]. 20049 T(x,K(y,a(z,u,w) * v5)) != v6 | T(x,K(y,v5)) = v6. [para(20044(a,2),7896(a,1))]. 20050 T(x,K(y,a(z,u,w) \ v5)) = T(x,K(y,v5)). [hyper(16583,a,20048,a)]. 20051 T(x,K(y,z * a(u,w,v5))) = T(x,K(y,z)). [hyper(16307,a,20048,a)]. 20052 T(T(x,K(y,z)),y \ (a(u,w,v5) * z)) = T(x,(a(u,w,v5) * z) / y). [para(20048(a,1),9354(a,1,1))]. 20053 T(x,K(y,(z * u) * w)) = T(x,K(y,z * (u * w))). [para(14980(a,1),20048(a,1,2,2))]. 20054 T(x,K(y,z \ a(u,w,v5))) = T(x,K(y,z)). [hyper(9322,a,20050,a)]. 20055 T(x,K(y,a(z,u,w) \ v5)) = T(x,K(v5,y)). [hyper(236,a,7981,a,b,20050,a)]. 20056 T(T(x,K(y,z)),y * (a(u,w,v5) / z)) = T(x,(a(u,w,v5) / z) * y). [para(20051(a,1),16587(a,1,1))]. 20057 T(T(x,K(y,z)),y * (z \ a(u,w,v5))) = T(x,(z \ a(u,w,v5)) * y). [para(20054(a,1),13064(a,1,1))]. 20058 T(T(x,K(y,z)),(a(u,w,v5) \ y) \ z) = T(x,z / (a(u,w,v5) \ y)). [para(20055(a,1),9355(a,1,1))]. 20059 T(x,K(y,(z * u) * w)) != v5 | T(x,K(y,z * (u * w))) = v5. [para(14980(a,1),20049(a,1,2,2))]. 20060 T(x,K(y,z * a(u,w,v5))) != v6 | T(x,K(y,z)) = v6. [para(16092(a,1),20049(a,1))]. 20061 T(x,K(y,(z * (u * (w * v5))) * a(u,w,v5))) = T(x,K(y,z * ((u * w) * v5))). [para(91(a,1),20053(a,2,2,2,2))]. 20062 T(x,K(y,(z \ 1) * ((z * (u / z)) * w))) = T(x,K(y,(L(u,z \ 1,z) / z) * w)). [para(1636(a,1),20053(a,1,2,2,1)),flip(a)]. 20063 T(x,K(y,(z * (u \ 1)) * (T(w,z / u) * v5))) = T(x,K(y,(w * (z * (u \ 1))) * v5)). [para(14253(a,1),20053(a,1,2,2,1)),flip(a)]. 20064 K(x,T(y,z * a(u,w,v5))) = K(x,T(y,z)). [hyper(236,a,7979,a(flip),b,20047,a)]. 20065 K(x,T(y,a(z,u,w) * v5)) = K(x,T(y,v5)). [hyper(16246,a,20064,a)]. 20066 K(x,T(y,(z * u) * w)) = K(x,T(y,z * (u * w))). [para(91(a,1),20064(a,1,2,2))]. 20067 K(x,L(T(y,a(z,u,w) * v5),v6,v7)) = K(L(x,v6,v7),T(y,v5)). [hyper(11595,a,20065,a)]. 20068 T(x,T(y,a(z,u,w) * v5)) = x * K(x,T(y,v5)). [para(20065(a,1),4887(a,2,2))]. 20069 T(x,T(y,a(z,u,w) * v5)) = T(x,T(y,v5)). [hyper(236,a,4887,a,b,20068,a)]. 20070 T(x,T(y,z * a(u,w,v5))) = T(x,T(y,z)). [hyper(16233,a,20069,a)]. 20071 T(x,T(y \ (a(z,u,w) * v5),v5)) = T(x,(a(z,u,w) * v5) / y). [hyper(236,a,8364,a(flip),b,20069,a(flip))]. 20073 K(L(x,y,z),T(u,w * (v5 * v6))) = K(x,L(T(u,(w * v5) * v6),y,z)). [hyper(11595,a,20066,a),flip(a)]. 20075 K(x,T(y,z * (u * (w \ 1)))) != v5 | K(x,T(y,w \ (z * u))) = v5. [para(20066(a,1),16379(a,1))]. 20079 T(a(x,y,z) * u,K(w,v5)) * K(w,v5) = (a(x,y,z) * K(w,v5)) * u. [para(20041(a,2),18778(a,1,1))]. 20080 K(x,L(T(y,a(z,u,w) * v5),v6,v7)) != v8 | K(x,L(T(y,v5),v6,v7)) = v8. [para(20067(a,2),11595(a,1))]. 20086 K(x,T(y,z * (u * (w \ K(v5,v6))))) != v7 | K(x,T(y,w \ (z * u))) = v7. [para(17220(a,2),20075(a,1))]. 20087 T(T(x,K(y,z)),y * (z \ a(u,w,v5))) = T(x,(a(u,w,v5) / z) * y). [hyper(236,a,19648,a(flip),b,20056,a(flip)),flip(a)]. 20088 K(x,L(T(y,(z * u) * w),v5,v6)) = K(x,L(T(y,z * (u * w)),v5,v6)). [hyper(11595,a,20073,a),flip(a)]. 20089 K(x,L(T(y,(z * u) * w),v5,v6)) != v7 | K(x,L(T(y,z * (u * w)),v5,v6)) = v7. [para(20073(a,1),11595(a,1))]. 20090 (a(x,y,z) * K(u,w)) * v5 = K(u,w) * (a(x,y,z) * v5). [hyper(8201,a,20079,a),flip(a)]. 20091 (K(x,y) * a(z,u,w)) * v5 = K(x,y) * (a(z,u,w) * v5). [hyper(236,a,17720,a,b,20090,a(flip)),flip(a)]. 20092 K(x,L(y,a(z,u,w),v5)) = K(x,y). [hyper(19982,a,20091,a)]. 20093 L(K(x,y),a(z,u,w),v5) = K(x,y). [hyper(15421,a,20091,a)]. 20094 L(x,a(y,z,u),K(w,v5)) = x. [hyper(436,a,20091,a)]. 20095 a(x,a(y,z,u),K(w,v5)) = 1. [hyper(71,a,20091,a,b,14668,a),flip(a)]. 20096 x / a(y,a(z,u,w),v5) = a(y,a(z,u,w),v5) \ x. [hyper(14684,a,20094,a),flip(a)]. 20097 T(x,L(y,a(z,u,w),v5)) = T(x,y). [hyper(236,a,14677,a(flip),b,20094,a(flip)),flip(a)]. 20100 a(x,a(y,z,u),K(w,v5)) * v6 != v7 | v7 = v6. [para(20095(a,2),75(a,1,1))]. 20101 K(x \ a(y,z,u),L(w,x,v5)) = K(x \ a(y,z,u),w). [hyper(11599,a,20092,a)]. 20102 K(x,(y \ z) \ a(u,w,v5)) = K(x,z \ (y * a(u,w,v5))). [hyper(236,a,18824,a(flip),b,20092,a(flip)),flip(a)]. 20103 K(x,(y * a(z,u,w)) \ v5) = K(x,a(z,u,w) \ (y \ v5)). [hyper(236,a,18805,a(flip),b,20092,a(flip))]. 20104 K((x / y) / a(z,u,w),v5) = K(x / (a(z,u,w) * y),v5). [hyper(236,a,15374,a(flip),b,20092,a(flip))]. 20105 K((x \ y) \ a(z,u,w),v5) = K(y \ (x * a(z,u,w)),v5). [hyper(236,a,6568,a(flip),b,20093,a(flip))]. 20106 T(x,T((y * a(z,u,w)) \ v5,v6)) = T(x,T(a(z,u,w) \ (y \ v5),v6)). [para(509(a,1),20097(a,1,2))]. 20107 K(x,L(y,a(z,u,w),v5)) != v6 | K(x,y) = v6. [para(11513(a,1),20100(a,1)),flip(b)]. 20108 L(x,a(y,z,u),K(w,v5)) != v6 | v6 = x. [para(14671(a,1),20100(a,1))]. 20109 K(x,(y * a(z,u,w)) \ v5) != v6 | K(x,a(z,u,w) \ (y \ v5)) = v6. [para(227(a,1),20107(a,1,2))]. 20111 K(x,L(y,R(z,u,u \ 1),z \ 1)) != w | K(x,y) = w. [para(18031(a,1),20107(a,1))]. 20112 K(x,(y \ z) \ a(u,w,v5)) != v6 | K(x,z \ (y * a(u,w,v5))) = v6. [para(18824(a,1),20107(a,1))]. 20113 K(x \ a(y,x,x \ 1),z) = K(x \ 1,z). [hyper(18012,a,20101,a),flip(a)]. 20114 K((a(x \ 1,x,y) \ z) / (u * z),w) = K(u \ a(y,x,x \ 1),w). [hyper(236,a,19826,a(flip),b,20101,a(flip)),flip(a)]. 20115 K((x \ T(1,y)) \ a(z,x \ T(1,y),(x \ T(1,y)) \ 1),u) = K(K(y,1) * x,T(u,1)). [hyper(14482,a,20113,a(flip)),flip(a)]. 20116 K(x,(y * z) \ R(y,u,u \ 1)) = K(x,z \ a(y,u,u \ 1)). [hyper(20111,a,18823,a)]. 20117 x * K(x,y \ (z * a(u,w,v5))) = T(x,(z \ y) \ a(u,w,v5)). [para(20102(a,1),4887(a,2,2)),flip(a)]. 20118 K(x,(a(y,z,u) * w) \ v5) = K(x,a(y,z,u) \ (w \ v5)). [hyper(236,a,18087,a,b,20103,a(flip)),flip(a)]. 20119 K(x,a(y,z,u) \ (w \ T(v5,w))) = K(x,v5 / (a(y,z,u) * w)). [hyper(236,a,18467,a(flip),b,20103,a(flip))]. 20120 K(x / (a(y,z,u) * w),v5) = K(a(y,z,u) \ (x / w),v5). [hyper(17719,a,20104,a),flip(a)]. 20121 K(x,a(y,z,u) \ ((w \ 1) \ v5)) != v6 | K(x,L(w * (a(y,z,u) \ v5),v5,a(u,z,y) \ 1)) = v6. [para(20118(a,1),18346(a,1))]. 20122 x \ T(y * T(x,K(z,a(u,w,v5) \ (v6 / v7))),K(v6 / (a(u,w,v5) * v7),z)) = T(y,K(z,a(u,w,v5) \ (v6 / v7)) * x). [para(20120(a,2),15657(a,1,2,2))]. 20123 K(x,(y * z) \ L(y,u,u \ 1)) = K(x,z \ a(y,u,u \ 1)). [hyper(18571,a,20116,a)]. 20124 K(x,y \ a(z,y,y \ 1)) = K(x,y \ 1). [para(391(a,1),20116(a,1,2)),flip(a)]. 20125 K(x,x \ 1) * a(y,x,x \ 1) = x * (a(y,x,x \ 1) / x). [para(20124(a,1),4909(a,1,1))]. 20126 a(x,y,y \ 1) * K(y,y \ 1) = y * (a(x,y,y \ 1) / y). [para(20124(a,1),5079(a,1,2))]. 20127 T(x,(y \ z) \ a(u,w,v5)) = T(x,z \ (y * a(u,w,v5))). [hyper(4890,a,20117,a),flip(a)]. 20128 T(x,K(y \ z,y) * ((z / y) \ a(u,w,v5))) = T(x,z \ (y * a(u,w,v5))). [hyper(15800,a,20127,a)]. 20129 K(x,y / (a(z,u,w) * v5)) = K(x,a(z,u,w) \ (y / v5)). [hyper(236,a,19294,a(flip),b,20119,a(flip))]. 20130 K(x,y / (z * a(u,w,v5))) = K(x,a(u,w,v5) \ (y / z)). [hyper(236,a,18074,a(flip),b,20129,a(flip)),flip(a)]. 20131 x * K(x,a(y,z,u) \ (w / v5)) = T(x,w / (a(y,z,u) * v5)). [para(20129(a,1),4887(a,2,2)),flip(a)]. 20132 K(x,a(y,z,u) \ (((w / v5) * a(y,z,u)) / (v5 \ 1))) != v6 | K(x,L(w,v5 \ 1,a(y,z,u))) = v6. [para(20130(a,1),15480(a,1))]. 20133 K(x,y \ (z \ L(z,u,u \ 1))) = K(x,y \ a(z,u,u \ 1)). [hyper(236,a,18822,a(flip),b,20123,a(flip)),flip(a)]. 20134 (a(x,y,y \ 1) \ y) \ T(y,y \ 1) = y * (a(x,y,y \ 1) / y). [hyper(236,a,17883,a,b,20125,a(flip)),flip(a)]. 20135 (x \ 1) * (x * (a(y,x,x \ 1) / x)) = (1 / x) * a(y,x,x \ 1). [para(20125(a,1),2946(a,1,2))]. 20137 (x * (a(y,x,x \ 1) / x)) \ 1 != z | a(y,x,x \ 1) \ K(x \ 1,x) = z. [para(20125(a,1),14519(a,1,1))]. 20138 x * (y * (a(y \ z,y,y \ 1) / y)) = x / ((1 / y) * L(y,y \ 1,z)). [para(20126(a,1),19033(a,1,2))]. 20139 T(x,y / (a(z,u,w) * v5)) = T(x,a(z,u,w) \ (y / v5)). [hyper(4890,a,20131,a),flip(a)]. 20140 T(x,y / (z * a(u,w,v5))) = T(x,a(u,w,v5) \ (y / z)). [hyper(18152,a,20139,a)]. 20141 T(x,a(y,z,u) \ (((w * a(y,z,u)) * v5) / w)) = T(x,T(v5,w * a(y,z,u))). [hyper(8241,a,20140,a),flip(a)]. 20142 K(x,(a(y,z,u) * w) \ v5) != v6 | K(x,a(y,z,u) \ (w \ v5)) = v6. [para(18087(a,2),20109(a,1))]. 20143 T(x,(a(y,z,u) / w) * v5) = T(x,(w \ a(y,z,u)) * v5). [hyper(236,a,20057,a(flip),b,20087,a(flip))]. 20144 T(x,(y \ a(z,u,z)) * w) != v5 | T(x,y \ w) = v5. [para(20143(a,1),14824(a,1))]. 20145 K(x,L(T(y,(z \ K(u,z \ 1)) * (u * w)),v5,v6)) = K(x,L(T(y,(u * (z \ 1)) * w),v5,v6)). [para(5071(a,1),20088(a,1,2,1,2,1)),flip(a)]. 20146 K(x,L(T(y,a(z,u,w) * ((z * (u * w)) * v5)),v6,v7)) = K(x,L(T(y,((z * u) * w) * v5),v6,v7)). [para(14980(a,1),20088(a,1,2,1,2,1)),flip(a)]. 20148 (a(x,y,y \ 1) \ y) \ ((y \ 1) \ 1) = y * (a(x,y,y \ 1) / y). [hyper(658,a,20134,a)]. 20149 L(x,x \ 1,x * y) \ x = x * (a(y,x,x \ 1) / x). [hyper(236,a,18860,a(flip),b,20148,a(flip)),flip(a)]. 20150 L(x,x \ 1,y * x) \ x = x * (a(y,x,x \ 1) / x). [para(13509(a,2),20149(a,1,1))]. 20151 L(x,x \ 1,y * x) \ 1 = a(y,x,x \ 1) / x. [hyper(1221,a,20150,a)]. 20152 a(x \ y,x,x \ 1) / x = L(x,x \ 1,y) \ 1. [para(13511(a,1),20151(a,1,1)),flip(a)]. 20153 (L(x,x \ 1,y) \ 1) * x = a(x \ y,x,x \ 1). [para(20152(a,1),16(a,1,1))]. 20154 K(x \ 1,T(x * a((x \ 1) \ y,x \ 1,(x \ 1) \ 1),z)) * T(a((x \ 1) \ y,x \ 1,(x \ 1) \ 1),z) = T((x \ 1) * (L(x \ 1,(x \ 1) \ 1,y) \ 1),z). [para(20152(a,1),14354(a,2,1,2))]. 20155 (L(x \ 1,(x \ 1) \ 1,y) \ 1) * (x \ 1) = a((x \ 1) \ y,x \ 1,(1 / x) \ 1). [hyper(236,a,11932,a,b,20153,a)]. 20156 a(x \ ((x \ 1) \ y),x,x \ 1) = (y \ (y / (x \ 1))) \ x. [hyper(236,a,11095,a,b,20153,a(flip))]. 20157 a(x / T((x \ y) \ 1,y),(x \ y) \ 1,((x \ y) \ 1) \ 1) = (L((x \ y) \ 1,((x \ y) \ 1) \ 1,x) \ 1) * ((x \ y) \ 1). [para(7113(a,2),20153(a,2,1)),flip(a)]. 20158 K(x,y * (T(z,L(z,z \ 1,u) \ 1) * (L(z,z \ 1,u) \ 1))) = K(x,y * a(z \ u,z,z \ 1)). [para(20153(a,1),18542(a,2,2,2))]. 20159 K(x,T(y,z \ (u * w))) = K(x,T(y,z * (w \ u))). [hyper(20086,a,19866,a)]. 20160 K(x,T(y,z * (u \ w))) = K(x,T(y,z * (w * u))). [hyper(16373,a,20159,a),flip(a)]. 20161 K(x,T(y,z * (u / w))) = K(x,T(y,z * (u * w))). [hyper(17146,a,20160,a)]. 20162 T(x,((y * (z / y)) / y) \ a(u,w,v5)) = T(x,z \ (y * a(u,w,v5))). [para(5511(a,1),20128(a,1,2))]. 20163 x / ((1 / y) * L(y,y \ 1,z)) = x * (y * (L(y,y \ 1,z) \ 1)). [para(20152(a,1),20138(a,1,2,2)),flip(a)]. 20164 x / ((1 / y) * L(y,y \ 1,z)) = x * (L(y,y \ 1,z) \ y). [para(1211(a,1),20163(a,2,2))]. 20165 x / (y \ L(y,y \ 1,z)) = x * (L(y,y \ 1,z) \ y). [para(4767(a,1),20164(a,1,2))]. 20166 (x \ L(x,x \ 1,y)) \ z = z * (L(x,x \ 1,y) \ x). [hyper(13738,a,20165,a)]. 20167 (x * (L(y,y \ 1,z) \ y)) \ x = y \ L(y,y \ 1,z). [para(20165(a,1),65(a,1,1))]. 20168 (x * (L(y,y \ 1,x) \ y)) \ 1 = x \ (y \ L(y,y \ 1,x)). [para(20165(a,1),11769(a,1,1))]. 20169 (x * (y * (a(z,y,y \ 1) / y))) \ x = y \ L(y,y \ 1,z * y). [para(20150(a,1),20167(a,1,1,2))]. 20170 (x * (a(y,x,x \ 1) / x)) \ 1 = x \ L(x,x \ 1,y * x). [hyper(14514,a,20169,a)]. 20171 T(x,K(y,z * ((u * w) * v5))) = T(x,K(y,z * (u * (w * v5)))). [hyper(20060,a,20061,a),flip(a)]. 20172 T(x,K(y,z * ((u * w) * v5))) != v6 | T(x,K(y,z * (u * (w * v5)))) = v6. [para(20061(a,1),20060(a,1))]. 20174 a(x,y,y \ 1) \ K(y \ 1,y) = y \ L(y,y \ 1,x * y). [hyper(20137,a,20170,a)]. 20175 K(x * (y \ L(y,y \ 1,z * y)),L(u,x \ 1,a(z,y,y \ 1))) = K((a(z,y,y \ 1) * (x \ 1)) \ K(y \ 1,y),u). [para(20174(a,1),14107(a,1,1,2))]. 20176 T(x,a(y,z,u) \ (((w * a(y,z,u)) * v5) / w)) = T(x,T(v5,w)). [hyper(236,a,20070,a(flip),b,20141,a)]. 20178 T(x,T((y * a(z,u,w)) \ v5,y)) = T(x,a(z,u,w) \ (v5 / y)). [para(14(a,1),20176(a,1,2,2,1)),flip(a)]. 20179 T(x,T(a(y,z,u) \ (w \ v5),w)) = T(x,a(y,z,u) \ (v5 / w)). [hyper(236,a,20106,a(flip),b,20178,a(flip)),flip(a)]. 20180 K(x * (y \ z),T(R(y / x,x,y \ z),u)) = K(x * (y \ T(z,u)),y / x). [hyper(236,a,18195,a(flip),b,19967,a)]. 20181 K(x * (y \ z),R(T(y / x,u),x,y \ z)) = K(x * (y \ T(z,u)),y / x). [para(42(a,2),20180(a,1,2))]. 20182 K(x * (y \ z),L(T(y / x,u),x,y \ z)) = K(x * (y \ T(z,u)),y / x). [hyper(15349,a,20181,a)]. 20183 K(x * (y \ T(z,u)),y / x) != w | K(x * (y \ z),T(y / x,u)) = w. [para(20182(a,1),14574(a,1))]. 20184 K(x \ (y * z),T(z \ x,u)) = K(z * (x \ y),T(x / z,u)). [hyper(20183,a,19912,a),flip(a)]. 20185 K(x \ (y * z),T(x / y,u)) = K(y * (x \ z),T(x / y,u)). [hyper(16859,a,20184,a)]. 20186 K(x * (y \ z),T(y / x,z * y)) = K(y \ (x * z),x \ y). [hyper(236,a,15982,a(flip),b,20185,a(flip))]. 20187 K(x \ (y * z),y \ x) = K((x \ z) * y,x / y). [hyper(15988,a,20186,a),flip(a)]. 20188 x * K((y \ x) * z,y / z) = ((z \ y) \ x) * (z \ y). [para(20187(a,1),10753(a,1,2))]. 20189 K(x,y * K((z \ u) * w,z / w)) = K(x,K(w \ z,u) * y). [para(20187(a,1),18452(a,1,2,2))]. 20190 x * K(y * (z \ x),y \ z) = ((y \ z) \ x) * (y \ z). [para(13396(a,2),20188(a,1,2))]. 20191 K((x \ y) * (y \ z),(x \ y) \ y) = z \ ((((x \ y) \ y) \ z) * T(x,x \ y)). [hyper(72,a,257,a,b,20190,a),flip(a)]. 20192 K(x,y * K((z \ u) * w,w \ z)) = K(x,K(w \ z,u) * y). [hyper(16746,a,20189,a)]. 20193 K((x \ y) * (y \ z),(x \ y) \ y) = K(x \ z,T(x,y)). [hyper(236,a,10820,a(flip),b,20191,a)]. 20194 K((x \ y) * (y \ z),T(x,y)) = K(x \ z,T(x,y)). [hyper(7814,a,20193,a)]. 20195 K((x \ y) * (z \ x),z) = K(z \ y,T(z,x)). [hyper(13421,a,20194,a)]. 20196 K((x * (y \ z)) \ z,T(x * (y \ z),y)) = K(x \ y,x * (y \ z)). [hyper(236,a,14409,a(flip),b,20195,a(flip))]. 20197 K(x \ ((y \ z) \ z),T(x * (y \ z),y)) = K(x \ y,x * (y \ z)). [hyper(236,a,18983,a(flip),b,20196,a(flip)),flip(a)]. 20198 K(x \ T(y,z),T(x * (y \ z),y)) = K(x \ y,x * (y \ z)). [hyper(236,a,13388,a(flip),b,20197,a(flip)),flip(a)]. 20199 K(T(x,y) / z,z * (x \ y)) = K(z \ x,z * (x \ y)). [hyper(16216,a,20198,a)]. 20200 K(x \ T(y,z),(y \ z) * x) = K(x \ y,x * (y \ z)). [hyper(13040,a,20199,a)]. 20201 K(x \ T(y,z),(y \ T(z,u)) * x) = K(x \ y,x * (y \ T(z,u))). [hyper(236,a,16667,a(flip),b,20200,a(flip)),flip(a)]. 20202 K(x \ T(y,z),(z / y) * x) = K(x \ y,x * (y \ T(z,y))). [hyper(236,a,18431,a(flip),b,20201,a(flip)),flip(a)]. 20203 K(x \ T(y,z),(z / y) * x) = K(x \ y,x * (z / y)). [hyper(236,a,15756,a(flip),b,20202,a)]. 20204 T(x,K(y,(z \ 1) * ((z * (u / z)) * w))) = T(x,K(y,(u * (z \ 1)) * w)). [para(18517(a,1),20062(a,2,2))]. 20205 T(x,K(y,(z \ 1) * ((z * (u / z)) * w))) = T(x,K(y,u * ((z \ 1) * w))). [hyper(236,a,20053,a(flip),b,20204,a)]. 20206 T(x,K(y,(z \ 1) * (T(u,z) * w))) = T(x,K(y,u * ((z \ 1) * w))). [para(19575(a,1),20205(a,1,2))]. 20207 T(x,K(y,z \ (T(u,z) * w))) = T(x,K(y,u * ((z \ 1) * w))). [para(14126(a,1),20206(a,1,2))]. 20208 T(x,K(y,z * ((u \ 1) * w))) = T(x,K(y,u \ (z * w))). [hyper(236,a,18815,a(flip),b,20207,a(flip))]. 20209 T(x,K(y,z * (u * ((w \ 1) * v5)))) = T(x,K(y,w \ ((z * u) * v5))). [hyper(20059,a,20208,a)]. 20211 K(x,L((y * (z \ u)) / (u / z),w,v5)) = a(v5,w,K(y,x)) * K(x,y * K(u,z)). [para(13079(a,1),19968(a,2,2))]. 20212 K(x,L((y * (z \ u)) / (u / z),w,v5)) = K(x,L(y * K(u,z),w,v5)). [hyper(236,a,19950,a(flip),b,20211,a)]. 20213 K(x,L(y * K(z \ u,z),w,v5)) = K(x,L(y * K(u,z),w,v5)). [para(6482(a,1),20212(a,1,2,1))]. 20214 K(x,L((y / (z \ u)) * K(z,w),y,z \ u)) = K(x,y / (((w \ z) * w) \ u)). [hyper(236,a,15542,a(flip),b,20213,a(flip))]. 20215 K(x,y / (((z \ u) * z) \ w)) = K(x,y / ((K(u,z) \ 1) * (u \ w))). [hyper(236,a,15429,a(flip),b,20214,a(flip))]. 20216 K(x,y / (((z \ u) * z) \ w)) = K(x,y / (K(z,u) * (u \ w))). [para(5093(a,1),20215(a,2,2,2,1))]. 20217 K(x,y / (((z \ u) * z) \ w)) = K(x,y / (T(u,z) \ w)). [para(5204(a,1),20216(a,2,2,2))]. 20218 K(x,y / (T(z * u,z) \ w)) = K(x,y / ((u * z) \ w)). [para(13(a,1),20217(a,1,2,2,1,1)),flip(a)]. 20219 K(x,K(y,y * z) * (u / ((y * z) \ w))) = K(x,u / ((z * y) \ w)). [hyper(19522,a,20218,a)]. 20220 K(x,K(y,K(z,u * K(y,z))) * (w / ((K(y,z) * u) \ v5))) = K(x,w / ((u * K(y,z)) \ v5)). [para(16071(a,1),20219(a,1,2,1))]. 20221 K(x,L((y * (z / u)) / (u \ z),w,v5)) = a(v5,w,K(y,x)) * K(x,y * K(z,u)). [para(16345(a,1),19969(a,2,2))]. 20222 K(x,L((y * (z / u)) / (u \ z),w,v5)) = K(x,L(y * K(z,u),w,v5)). [hyper(236,a,19950,a(flip),b,20221,a)]. 20223 K(x,L(y * K(z,z \ u),w,v5)) = K(x,L(y * K(u,z),w,v5)). [para(7860(a,1),20222(a,1,2,1))]. 20224 K(x,L((y / (z \ u)) * K(z,w),y,z \ u)) = K(x,y / ((w * (z / w)) \ u)). [hyper(236,a,15543,a(flip),b,20223,a(flip))]. 20225 K(x,y / ((z * (u / z)) \ w)) = K(x,y / ((K(u,z) \ 1) * (u \ w))). [hyper(236,a,15429,a(flip),b,20224,a(flip))]. 20226 K(x,y / ((z * (u / z)) \ w)) = K(x,y / (K(z,u) * (u \ w))). [para(5093(a,1),20225(a,2,2,2,1))]. 20227 K(x,y / ((z * (u / z)) \ w)) = K(x,y / (T(u,z) \ w)). [para(5204(a,1),20226(a,2,2,2))]. 20228 K(x,y / (T(z * u,u) \ w)) = K(x,y / ((u * z) \ w)). [para(15(a,1),20227(a,1,2,2,1,2)),flip(a)]. 20229 K(x,y / (z / (u * z))) = K(x,y / ((z * u) \ z)). [hyper(19478,a,20228,a)]. 20230 T(K(x,K(y,z)) * u,K(x,K(y,a(w,v5,v6) * z))) / u = K(x,K(y,z * a(w,v5,v6))). [para(7923(a,2),20045(a,1,1,1,1))]. 20231 T(x,K(y,(z * (u \ 1)) * (T(w,z / u) * v5))) = T(x,K(y,w * ((z * (u \ 1)) * v5))). [hyper(236,a,20053,a(flip),b,20063,a)]. 20232 a((x \ 1) \ y,x \ 1,(1 / x) \ 1) = (L(x \ 1,x,y) \ 1) * (x \ 1). [para(6999(a,1),20155(a,1,1,1)),flip(a)]. 20233 a((x \ 1) \ y,x \ 1,(1 / x) \ 1) = L(x \ 1,x,y) \ (1 / x). [hyper(236,a,14365,a(flip),b,20232,a)]. 20234 a((x \ 1) \ y,x \ 1,x) = L(x \ 1,x,y) \ (1 / x). [para(65(a,1),20233(a,1,3))]. 20235 a((x \ 1) \ y,x \ 1,x) / (1 / x) = L(1 / x,x,y) \ 1. [hyper(74,a,20234,a,b,6964,a)]. 20236 L(1 / x,x,y * (x \ 1)) \ 1 = a(y,x \ 1,x) / (1 / x). [para(14785(a,1),20235(a,1,1)),flip(a)]. 20237 K(x,K(y,z * a(u,w,v5))) = (K(x,K(y,z)) * v6) / v6. [para(16109(a,1),20230(a,1,1)),flip(a)]. 20238 K(x,K(y,z * a(u,w,v5))) = K(x,K(y,z)). [hyper(236,a,16387,a(flip),b,20237,a)]. 20240 K(x,K(y,(z * u) * w)) = K(x,K(y,z * (u * w))). [para(91(a,1),20238(a,1,2,2))]. 20241 K(x,K(y,(z / u) * (w * z))) = K(x,K(y,u \ w)). [hyper(18025,a,20240,a),flip(a)]. 20242 K(x,K(y,(z \ u) * w)) = K(x,K(y,z * (w * u))). [hyper(236,a,17907,a,b,20240,a(flip)),flip(a)]. 20243 K(x,K(y,z * (u * w))) * K(x,y * ((z * u) \ w)) = K(x,((z * u) \ w) * y). [para(20240(a,1),16506(a,1,1))]. 20244 K(x,K(y,z * (u * (z * w)))) = K(x,K(y,w \ u)). [para(15(a,1),20241(a,1,2,2,1))]. 20245 K(x,y * ((z \ u) * w)) / K(x,K(y,z * (w * u))) = K(x,((z \ u) * w) * y). [para(20242(a,1),13245(a,1,2))]. 20246 K(x,K(y,z * (u * (z * w)))) = K(x,K(y,u * w)). [hyper(236,a,16504,a(flip),b,20244,a)]. 20247 K(x,K(y,a(z,u,w) * (v5 * ((z * u) * w)))) = K(x,K(y,v5 * (z * (u * w)))). [para(14980(a,1),20246(a,1,2,2,2,2))]. 20248 K(x * ((y * z) * u),K(w,v5)) = K(w,K(v5,x * (y * (z * u)))). [hyper(236,a,20042,a(flip),b,20247,a(flip)),flip(a)]. 20249 K(x,K(y,z * ((u * w) * v5))) = K(x,K(y,z * (u * (w * v5)))). [hyper(7960,a,20248,a)]. 20251 K(x,K(y,z * (u * (w * z)))) = K(x,K(y,u * w)). [hyper(16509,a,20249,a),flip(a)]. 20252 K(x,K(y,z * (u * w))) * K(x,y * ((z * T(u,v5)) \ w)) = K(x,((z * T(u,v5)) \ w) * y). [para(17099(a,1),20243(a,1,1))]. 20253 K(x,K(y,z * (T(u,w) * v5))) * K(x,y * ((z * ((w * u) / w)) \ v5)) = K(x,((z * ((w * u) / w)) \ v5) * y). [para(18541(a,1),20243(a,1,1,2))]. 20254 K(x,y * (((z * u) \ w) * v5)) / K(x,K(y,z * (u * (v5 * w)))) = K(x,(((z * u) \ w) * v5) * y). [para(20240(a,1),20245(a,1,2))]. 20255 T(x,K(y,(z * (u \ 1)) * (T(w,z / u) * v5))) = T(x,K(y,w * (z * ((u \ 1) * v5)))). [hyper(236,a,20171,a(flip),b,20231,a)]. 20256 T(x,K(y,(z * (u \ 1)) * (w * v5))) = T(x,K(y,w * (z * ((u \ 1) * v5)))). [hyper(236,a,17012,a(flip),b,20255,a(flip)),flip(a)]. 20257 T(x,K(y,z * ((u \ 1) * (w * v5)))) = T(x,K(y,w * (z * ((u \ 1) * v5)))). [hyper(20059,a,20256,a)]. 20259 T(x,K(y,z * (u * ((w \ 1) * v5)))) = T(x,K(y,w \ (u * (z * v5)))). [hyper(236,a,20208,a(flip),b,20257,a(flip))]. 20260 T(x,K(y,z \ ((u * w) * v5))) = T(x,K(y,z \ (w * (u * v5)))). [hyper(236,a,20209,a(flip),b,20259,a(flip)),flip(a)]. 20261 T(x,K(y,z \ ((u * w) \ v5))) = T(x,K(y,v5 \ (u * (w * z)))). [hyper(236,a,19547,a,b,20260,a(flip)),flip(a)]. 20264 K((x \ 1) \ a(y,x \ T(1,z),(x \ T(1,z)) \ 1),u) = K(K(z,1) * x,T(u,1)). [para(147(a,1),20115(a,1,1,1,2))]. 20265 K((x \ 1) \ a(y,x \ 1,(x \ T(1,z)) \ 1),u) = K(K(z,1) * x,T(u,1)). [para(147(a,1),20264(a,1,1,2,2,2))]. 20267 K((x \ 1) \ a(y,x \ 1,(x \ 1) \ 1),z) = K(K(u,1) * x,T(z,1)). [para(147(a,1),20265(a,1,1,2,3,1,2))]. 20270 K((x \ 1) \ a(y,x \ 1,x),z) = K(K(u,1) * x,T(z,1)). [para(11929(a,1),20267(a,1,1,2))]. 20271 K(K(x,1) * y,T(z,1)) = K(y * a(u,y \ 1,y),z). [hyper(14636,a,20270,a),flip(a)]. 20272 K(x * a(y,x \ 1,x),z) = K(x,T(z,1)). [hyper(16295,a,20271,a),flip(a)]. 20273 K(x * a(y,x \ 1,x),z) = K(x,z). [para(145(a,1),20272(a,2,2))]. 20274 K(x,T(y * a(z,y \ 1,y),u)) = K(y,x) \ K(y,K(x,u)). [para(20273(a,1),20046(a,1,1)),flip(a)]. 20275 K(x,T(y * a(z,y \ 1,y),u)) = K(x,y) * K(y,K(x,u)). [hyper(236,a,5260,a(flip),b,20274,a)]. 20276 K(x,T(y * a(z,y \ 1,y),u)) = K(x,T(y,u)). [hyper(236,a,7956,a(flip),b,20275,a)]. 20277 K(x,L(y,(z * K(u,w)) * (K(w,u) * v5),v5)) = K(x,L(y,z,L(v5,K(w,u),z))). [hyper(19349,a,19985,a)]. 20279 K(x,L(y,z,L(u,K(w,v5),z))) = K(x,L(y,z * K(v5,w),u)). [hyper(236,a,19965,a(flip),b,20277,a(flip))]. 20280 K(x,L(y,z * K(u,w),v5)) = K(x,L(y,z,v5)). [hyper(19349,a,20279,a),flip(a)]. 20282 K(x,L(y,z * K(u,w),v5)) != v6 | K(x,L(y,z,v5)) = v6. [para(20279(a,1),19349(a,1))]. 20285 K(x,L(K(y,z) * (z / (u / w)),z,z \ u)) = K(x,(z * (K(y,z) * w)) / u). [hyper(236,a,19930,a(flip),b,20280,a(flip))]. 20286 K(x,L(y,T(z,u),w)) = K(x,L(y,z,w)). [para(4836(a,1),20280(a,1,2,2)),flip(a)]. 20288 K(x,L(y,z \ K(u,w),v5)) = K(x,L(y,z \ 1,v5)). [para(14046(a,1),20280(a,1,2,2))]. 20289 K(x,L(y,a(z \ 1,z,u) \ K(w,v5),v6)) = K(x,L(y,u \ L(u,z,z \ 1),v6)). [para(19789(a,1),20280(a,1,2,2))]. 20291 K(x,L(T(y,z) / (u / w),y,y \ u)) = K(x,(T(y,z) * w) / u). [hyper(236,a,19940,a(flip),b,20286,a(flip))]. 20292 a(x,T(y,z),K(u,w)) * K(u,L(w,y,x)) = K(u,w). [para(20286(a,1),11501(a,1,2))]. 20293 (T(x,y) * z) * K(u,L(w,x,z)) = z * (T(T(x,y),z) * K(u,w)). [para(20286(a,1),11506(a,1,2))]. 20294 a(x,y \ K(z,u),K(w,v5)) = K(x,L(v5,y \ 1,w)) * K(v5,x). [para(20288(a,1),14000(a,1,1)),flip(a)]. 20295 a(x,T(y,z),K(u,w)) = a(x,y,K(u,w)). [hyper(11524,a,20292,a),flip(a)]. 20298 a(x,y,K(z,u)) * K(x,(u * T(y,w)) \ (y * z)) = K(x,T(y,w) \ (u \ (y * z))). [para(20295(a,1),19949(a,1,1))]. 20299 K(x,L(y,z * (u / z),w)) != v5 | K(x,L(y,u,w)) = v5. [para(250(a,1),20282(a,1,2,2))]. 20301 K(x,L(y,z / u,w)) != v5 | K(x,L(y,u \ z,w)) = v5. [para(4903(a,1),20282(a,1,2,2))]. 20303 K(x,L(y,T(z,u) \ w,v5)) != v6 | K(x,L(y,z \ w,v5)) = v6. [para(8578(a,1),20282(a,1,2,2))]. 20304 K(x,L(y,z \ K(u,w),v5)) != v6 | K(x,L(y,z \ 1,v5)) = v6. [para(14046(a,1),20282(a,1,2,2))]. 20305 K(x,L(T(y,z \ 1) \ u,z \ y,z \ 1)) = K(x,(y * ((z \ y) / y)) \ (z \ u)). [hyper(20299,a,18810,a)]. 20306 K(x,L(T(((y \ z) \ 1) \ y,y),y,u)) = K(x,(u * ((y \ z) \ 1)) \ (u * T(y,z))). [hyper(20299,a,17336,a)]. 20307 a(x,y \ K(z,u),K(w,v5)) = a(x,y \ 1,K(w,v5)). [hyper(236,a,14000,a(flip),b,20294,a)]. 20308 T(x,a(y,z \ K(u,w),v5)) = x * a(x,z \ 1,K(v5,y)). [para(20307(a,1),14033(a,1,2)),flip(a)]. 20309 T(x,a(y,z \ K(u,w),v5)) = T(x,a(y,z \ 1,v5)). [hyper(236,a,14033,a(flip),b,20308,a)]. 20310 L(x,y \ K(z,u),K(w,v5)) = T(x,a(v5,y \ 1,w)). [hyper(14749,a,20309,a)]. 20311 L(x,y \ K(z,u),K(w,v5)) = L(x,y \ 1,K(w,v5)). [hyper(236,a,14670,a,b,20310,a)]. 20312 L(x,(y \ 1) \ 1,K(z,u)) = L(x,y * K(w,v5),K(z,u)). [hyper(236,a,14163,a(flip),b,20311,a(flip))]. 20313 L(x,y * K(z,u),K(w,v5)) = L(x,y,K(w,v5)). [hyper(236,a,6999,a(flip),b,20312,a(flip))]. 20314 L(x,K(y,z) * u,K(w,v5)) = L(x,u,K(w,v5)). [hyper(236,a,18651,a,b,20313,a(flip)),flip(a)]. 20315 L(x,y * z,K(u,w)) = L(x,z * y,K(u,w)). [para(95(a,1),20313(a,1,2))]. 20316 L(x,y * T(z,u),K(w,v5)) = L(x,y * z,K(w,v5)). [para(1251(a,1),20313(a,1,2))]. 20317 L(x,T(y,z),K(u,w)) = L(x,y,K(u,w)). [para(4836(a,1),20313(a,1,2)),flip(a)]. 20318 ((x / (y * z)) * (y * T(z,u))) * ((y * K(z,u)) \ y) = y * L(y \ x,y,K(u,z)). [para(20313(a,1),15610(a,2,2))]. 20320 L(x,(a(y,z,u) * w) * v5,K(v6,a(y,z,u) * v5)) = L(x,w,K(v6,a(y,z,u) * v5)). [hyper(236,a,18772,a,b,20317,a(flip)),flip(a)]. 20321 T(x,L(y,K(z,u) * w,v5)) = L(T(x,y),w,K(v5,y)). [hyper(236,a,14677,a(flip),b,20314,a(flip)),flip(a)]. 20322 L(x,y * z,K(z,u)) = L(x,y,K(z,u)). [hyper(14753,a,20315,a),flip(a)]. 20323 L(x,y * z,K(z,u)) != w | L(x,y,K(z,u)) = w. [para(20315(a,1),14753(a,1))]. 20325 L(x,y * L(z,u,K(w,v5)),K(v6,v7)) = L(x,y * z,K(v6,v7)). [para(14670(a,2),20316(a,1,2,2))]. 20326 T(x,L(y,K(z,u) * w,v5)) = T(x,L(y,w,v5)). [hyper(236,a,14677,a(flip),b,20321,a)]. 20327 T(x,L(y,z * u,w)) = T(x,L(y,u * z,w)). [para(4817(a,1),20326(a,1,2,2))]. 20328 T(x,L(y,z / u,w)) = T(x,L(y,u \ z,w)). [para(4927(a,1),20326(a,1,2,2))]. 20329 T(x,L(y,T(z,u) \ w,v5)) = T(x,L(y,z \ w,v5)). [para(5178(a,1),20326(a,1,2,2)),flip(a)]. 20331 (K(x,y) * z) * (T(x,z) * K(u,w)) = z * (T(T(x,y),z) * K(u,w)). [hyper(236,a,19933,a,b,20293,a(flip)),flip(a)]. 20332 (x * K(y,T(z,x * u))) * u = u * (T(T(x,K(y,z)),u) * K(y,z)). [hyper(236,a,18603,a(flip),b,20331,a(flip)),flip(a)]. 20333 ((K(x,y) * z) * K(y,T(x,(K(x,y) * z) * u))) * u = u * (T(z / K(y,x),u) * K(y,x)). [para(8203(a,1),20332(a,2,2,1,1))]. 20335 K(x,L(T(y,z) / (u / w),y,y \ u)) = K(x,(y * (K(z,y) * w)) / u). [hyper(236,a,18392,a(flip),b,20285,a(flip)),flip(a)]. 20336 K(x,(y * (K(z,y) * u)) / w) = K(x,(T(y,z) * u) / w). [hyper(236,a,20291,a(flip),b,20335,a(flip))]. 20337 K(x,(y * z) * (u \ K(w,y))) = K(x,(T(y,w) * z) / u). [hyper(19405,a,20336,a)]. 20338 K(x,((y * (z / y)) * u) / w) = K(x,(T(z,y) * u) / w). [hyper(236,a,19502,a,b,20337,a(flip)),flip(a)]. 20339 K(x,(T(y * z,z) * u) / w) = K(x,((z * y) * u) / w). [para(15(a,1),20338(a,1,2,1,1,2)),flip(a)]. 20340 K(x,K(y,z) * (((z * y) * u) / w)) = K(x,((y * z) * u) / w). [hyper(19487,a,20339,a)]. 20341 K(x,(T(y * z,y) * u) / w) = K(x,((z * y) * u) / w). [hyper(236,a,19486,a(flip),b,20340,a(flip)),flip(a)]. 20342 K(x,L(y,z \ L(z,u,u \ 1),w)) != v5 | K(x,L(y,a(u \ 1,u,z) \ 1,w)) = v5. [para(20289(a,1),20304(a,1))]. 20343 a(x,y,K(z,u)) * K(u,(z * T(y,w)) \ (y * x)) = K(u,T(y,w) \ (z \ (y * x))). [hyper(14351,a,20298,a)]. 20345 K(x,L(T(y,z \ 1) \ u,y,z \ 1)) = K(x,(y * ((z \ y) / y)) \ (z \ u)). [hyper(236,a,18029,a(flip),b,20305,a(flip)),flip(a)]. 20346 K(x,(y * (z \ 1)) \ ((z \ 1) * u)) = K(x,(y * ((z \ y) / y)) \ (z \ u)). [para(11119(a,1),20345(a,1,2))]. 20347 K(x,T(y \ z,z) \ (y \ u)) = K(x,(z * (y \ 1)) \ ((y \ 1) * u)). [hyper(236,a,15766,a(flip),b,20346,a),flip(a)]. 20348 K(x,(y * (z \ 1)) \ ((z \ 1) * u)) = K(x,(y / z) \ (z \ u)). [hyper(236,a,15700,a(flip),b,20347,a(flip))]. 20349 K(x,L(y / ((y \ z) \ 1),y,u)) = K(x,(u * ((y \ z) \ 1)) \ (u * T(y,z))). [hyper(236,a,11370,a(flip),b,20306,a(flip)),flip(a)]. 20350 K(x,L(y * (y \ z),y,u)) = K(x,(u * ((y \ z) \ 1)) \ (u * T(y,z))). [hyper(15228,a,20349,a)]. 20351 K(x,(y * ((z \ u) \ 1)) \ (y * T(z,u))) = K(x,L(u,z,y)). [para(14(a,1),20350(a,1,2,1)),flip(a)]. 20352 ((x / y) * (y * K(z,u))) * ((y * K(z,u)) \ y) = y * L(y \ x,y,K(u,z)). [para(14942(a,1),20318(a,1,1))]. 20354 ((x / y) * (y * K(z,u))) * K(u,z) = y * L(y \ x,y,K(u,z)). [para(7549(a,1),20352(a,1,2))]. 20356 L(x,y,K(z,a(u,w,v5) * v6)) \ L(T(x,K(z,a(u,w,v5) * v6) * y),(a(u,w,v5) * y) * v6,K(z,a(u,w,v5) * v6)) = T(K(x,K(z,a(u,w,v5) * v6) * y),L(x,y,K(z,a(u,w,v5) * v6))). [hyper(394,a,20320,a,b,14205,a),flip(a)]. 20358 a(x,y,K(z,u)) * K(u,(z * y) \ (T(y,w) * x)) = K(u,T(y,w) \ (z \ (y * x))). [para(19316(a,1),20343(a,1,2))]. 20366 K(x,L(T(y,(z \ K(u,z \ 1)) * (u * w)),v5,v6)) = K(x,L(T(y,u * ((z \ 1) * w)),v5,v6)). [hyper(236,a,20088,a(flip),b,20145,a)]. 20367 K(x,K(y,K(z,u)) * (w / ((K(y,z) * u) \ v5))) = K(x,w / ((u * K(y,z)) \ v5)). [para(7459(a,1),20220(a,1,2,1,2))]. 20370 ((K(x,y) * z) * K(y,T(x,z * u))) * u = u * (T(z / K(y,x),u) * K(y,x)). [para(15412(a,1),20333(a,1,1,2,2))]. 20371 (K(x,y) * (z * K(y,T(x,z * u)))) * u = u * (T(z / K(y,x),u) * K(y,x)). [para(7421(a,1),20370(a,1,1))]. 20373 T(x * K(y,K(z,x * u)),K(y,z)) * u = u * (T(x / K(y,z),u) * K(y,z)). [para(18298(a,2),20371(a,1,1))]. 20374 T(x,K(y,z)) * (u * K(y,K(z,x * u))) = u * (T(x / K(y,z),u) * K(y,z)). [hyper(236,a,17927,a(flip),b,20373,a(flip)),flip(a)]. 20375 x * (T(y / K(z,u),x) * K(z,u)) = T(T(y,K(z,u)) * x,K(z,u)). [hyper(236,a,17078,a(flip),b,20374,a(flip))]. 20376 x * (T(y * K(z,u),x) * K(u,z)) = T(T(y,K(u,z)) * x,K(u,z)). [para(7547(a,1),20375(a,1,2,1,1))]. 20377 x * (K(y,z) * T(K(z,y) * u,x)) = T(T(u,K(y,z)) * x,K(y,z)). [para(7541(a,1),20376(a,1,2))]. 20378 K(x,L(T(y,a(z,u,w) * ((z * (u * w)) * v5)),v6,v7)) = K(x,L(T(y,(z * u) * (w * v5)),v6,v7)). [hyper(236,a,20088,a(flip),b,20146,a)]. 20379 K(x,L(T(y,a(z,u,w) * ((z * (u * w)) * v5)),v6,v7)) = K(x,L(T(y,z * (u * (w * v5))),v6,v7)). [hyper(236,a,20088,a(flip),b,20378,a)]. 20380 K(x,L(T(y,(z * (u * w)) * v5),v6,v7)) = K(x,L(T(y,z * (u * (w * v5))),v6,v7)). [hyper(20080,a,20379,a)]. 20381 K(x,L(T(y,z * ((u * w) * v5)),v6,v7)) = K(x,L(T(y,z * (u * (w * v5))),v6,v7)). [hyper(20089,a,20380,a)]. 20382 K(x,L(T(y,z * ((u \ w) * (u * v5))),v6,v7)) = K(x,L(T(y,z * (w * v5)),v6,v7)). [hyper(236,a,17195,a(flip),b,20381,a(flip))]. 20383 K(x,L(T(y,z * ((u \ w) * v5)),v6,v7)) = K(x,L(T(y,z * (w * (u \ v5))),v6,v7)). [para(14(a,1),20382(a,1,2,1,2,2,2))]. 20384 K(x,L(T(y,(z \ K(u,z \ 1)) * (u * w)),v5,v6)) = K(x,L(T(y,u * (1 * (z \ w))),v5,v6)). [hyper(236,a,20366,a,b,20383,a(flip)),flip(a)]. 20385 K(x,L(T(y,(z \ K(u,z \ 1)) * (u * w)),v5,v6)) = K(x,L(T(y,u * (z \ w)),v5,v6)). [para(11(a,1),20384(a,2,2,1,2,2))]. 20386 K(x,L(T(y,K(z,u \ 1) * (u \ (z * w))),v5,v6)) = K(x,L(T(y,z * (u \ w)),v5,v6)). [para(19301(a,1),20385(a,1,2,1))]. 20387 K(x,L(T(y,z \ (u * w)),v5,v6)) = K(x,L(T(y,u * (z \ w)),v5,v6)). [hyper(236,a,17116,a(flip),b,20386,a(flip)),flip(a)]. 20388 K(x,L(T(y,(z \ u) \ w),v5,v6)) = K(x,L(T(y,w * (u \ z)),v5,v6)). [hyper(236,a,18376,a,b,20387,a(flip)),flip(a)]. 20390 K(x,(T(K(y,y \ z),u) * (z \ w)) \ v5) = K(x,(((y \ z) * y) \ w) \ v5). [hyper(16624,a,19916,a),flip(a)]. 20392 K(x,(K(y,T(y \ z,u)) * (z \ w)) \ v5) = K(x,(((y \ z) * y) \ w) \ v5). [para(6439(a,1),20390(a,1,2,1,1))]. 20393 K(x,K(T(y \ z,u),y) * ((z \ w) \ v5)) = K(x,(((y \ z) * y) \ w) \ v5). [hyper(19393,a,20392,a)]. 20394 K(x,((y \ z) \ u) * K(w \ y,w)) = K(x,(((w \ y) * w) \ z) \ u). [para(8092(a,1),20393(a,1,2))]. 20395 K(x,(((y \ z) * y) \ u) \ w) = K(x,((z \ u) \ w) * K(z,y)). [hyper(236,a,13079,a(flip),b,20394,a(flip))]. 20396 K(x,(((y \ z) * y) \ u) \ w) = K(x,(T(z,y) \ u) \ w). [hyper(236,a,19283,a(flip),b,20395,a)]. 20397 K(x,(T(y * z,y) \ u) \ w) = K(x,((z * y) \ u) \ w). [para(13(a,1),20396(a,1,2,1,1,1)),flip(a)]. 20398 K(x,((y * z) \ u) \ (y \ (T(z,y) \ u))) = a(T(z,y),y,K(x,y \ u)). [hyper(236,a,19754,a(flip),b,20397,a(flip))]. 20399 K(x,(y / (y * z)) \ u) = K(x,((z * y) \ y) \ u). [hyper(236,a,19470,a(flip),b,20397,a(flip)),flip(a)]. 20400 K(x * (y * (x \ 1)),((z * u) \ u) \ w) = K(y,T((u / (u * z)) \ w,x)). [hyper(14625,a,20399,a),flip(a)]. 20401 K(x,((y * z) \ u) \ (y \ (T(z,y) \ u))) != w | a(z,y,K(x,y \ u)) = w. [para(20398(a,2),17998(a,1))]. 20402 K(x,T((y / (y * z)) \ u,w)) = K(x,T(((z * y) \ y) \ u,w)). [hyper(14625,a,20400,a),flip(a)]. 20404 K(x,(T(K(y,y \ z),u) * (z * w)) \ v5) = K(x,((y * (z / y)) * w) \ v5). [hyper(16624,a,19917,a),flip(a)]. 20406 K(x,(K(y,T(y \ z,u)) * (z * w)) \ v5) = K(x,((y * (z / y)) * w) \ v5). [para(6439(a,1),20404(a,1,2,1,1))]. 20407 K(x,K(T(y \ z,u),y) * ((z * w) \ v5)) = K(x,((y * (z / y)) * w) \ v5). [hyper(19393,a,20406,a)]. 20408 K(x,((y * z) \ u) * K(w \ y,w)) = K(x,((w * (y / w)) * z) \ u). [para(8092(a,1),20407(a,1,2))]. 20409 K(x,((y * (z / y)) * u) \ w) = K(x,((z * u) \ w) * K(z,y)). [hyper(236,a,13079,a(flip),b,20408,a(flip))]. 20410 K(x,((y * (z / y)) * u) \ w) = K(x,(T(z,y) * u) \ w). [hyper(236,a,19280,a(flip),b,20409,a)]. 20411 K(x,(T(y,z) * (z \ 1)) \ u) = K(x,((z \ 1) * y) \ u). [hyper(236,a,19678,a(flip),b,20410,a(flip))]. 20412 K(x,(T((y \ z) \ 1,u) * (u \ 1)) \ ((u \ 1) * T(y,z))) = K(x,L(z,y,u \ 1)). [hyper(236,a,20351,a(flip),b,20411,a)]. 20413 K(x,(T((y \ z) \ 1,u) / u) \ (u \ T(y,z))) = K(x,L(z,y,u \ 1)). [hyper(236,a,20348,a(flip),b,20412,a(flip)),flip(a)]. 20414 K(x,(y \ ((z \ u) \ 1)) \ (y \ T(z,u))) = K(x,L(u,z,y \ 1)). [hyper(19535,a,20413,a)]. 20415 K(x / ((K(y,z) * T(z,u)) / T(w,T(T(z,y),u))),v5) = K(x / ((w \ T(z,u)) * K(y,z)),v5). [para(8648(a,1),19924(a,1,1,2,2))]. 20416 K(x / ((K(y,z) * T(z,u)) / T(w,T(z,y))),v5) = K(x / ((w \ T(z,u)) * K(y,z)),v5). [hyper(19619,a,20415,a)]. 20417 K(x / ((K(y,z) * T(z,u)) / T(w,z)),v5) = K(x / ((w \ T(z,u)) * K(y,z)),v5). [hyper(19619,a,20416,a)]. 20419 K(x / ((K(y,z) * T(z,u)) / T(w,z)),v5) = K(K(y,z) * (x / (w \ T(z,u))),v5). [hyper(236,a,19382,a(flip),b,20417,a)]. 20421 K(x / (K(y,z) * (T(z,u) / T(w,z))),v5) = K(K(y,z) * (x / (w \ T(z,u))),v5). [para(14727(a,1),20419(a,1,1,2))]. 20422 K(x * ((T(y,z) / T(u,y)) \ K(y,w)),v5) = K(K(w,y) * (x / (u \ T(y,z))),v5). [hyper(236,a,14521,a(flip),b,20421,a(flip)),flip(a)]. 20423 K(x / (T(T(y,z),u) / T(w,y)),v5) = K(K(z,y) * (x / (w \ T(y,u))),v5). [hyper(236,a,19674,a(flip),b,20422,a(flip)),flip(a)]. 20424 K(K(x,T(x,y)) * (z / (u \ T(T(x,y),w))),v5) = K(z / (T(T(x,y),w) / T(u,T(x,y))),v5). [para(131(a,1),20423(a,1,1,2,1,1)),flip(a)]. 20425 K(K(x,T(x,y)) * (z / (u \ T(T(x,y),w))),v5) = K(z / (T(T(x,y),w) / T(u,x)),v5). [hyper(236,a,19618,a(flip),b,20424,a)]. 20427 K(x / (T(T(y,z),u) / T(w,y)),v5) = K(1 * (x / (w \ T(T(y,z),u))),v5). [para(195(a,1),20425(a,1,1,1)),flip(a)]. 20428 K(x / (T(T(y,z),u) / T(w,y)),v5) = K(x / (w \ T(T(y,z),u)),v5). [para(11(a,1),20427(a,2,1))]. 20430 K(K(x,y) * (z / (u \ T(y,w))),v5) = K(z / (u \ T(T(y,x),w)),v5). [hyper(236,a,20423,a(flip),b,20428,a(flip)),flip(a)]. 20431 K(x * ((y \ T(z,u)) \ K(z,w)),v5) = K(x / (y \ T(T(z,w),u)),v5). [hyper(236,a,19371,a(flip),b,20430,a(flip)),flip(a)]. 20432 K(x / (y \ T(T(z,u),w)),L(v5,v6,v7)) / K(x * ((y \ T(z,w)) \ K(z,u)),L(T(v5,x / (y \ T(T(z,u),w))),v6,v7)) = 1. [hyper(244,a,20431,a,b,5005,a(flip))]. 20433 K(x,y * (((z * u) \ z) * w)) / K(x,K(y,u * w)) = K(x,(((z * u) \ z) * w) * y). [para(20251(a,1),20254(a,1,2))]. 20434 K(x,y * (((z * u) \ z) * w)) * K(x,K(y,u * w)) = K(x,(((z * u) \ z) * w) * y). [hyper(7973,a,20433,a)]. 20435 K(x,K(y,z * u)) * K(x,y * (((w * z) \ w) * u)) = K(x,(((w * z) \ w) * u) * y). [hyper(16168,a,20434,a)]. 20436 K(x,(K(y,z * (((u * w) \ u) * v5)) * (K(y,K(z,w * v5)) \ 1)) \ v6) * K(x,K(v6,K(y,(((u * w) \ u) * v5) * z))) = K(x,v6 / (K(y,z * (((u * w) \ u) * v5)) * (K(y,K(z,w * v5)) \ 1))). [para(20435(a,1),16594(a,1,2,2,2))]. 20437 K((x * y) \ ((x * K(z,u)) * y),(x * K(z,u)) * y) = K(z,K(L(T(u,x),x,y),x * (y * K(z,u)))). [hyper(236,a,7886,a(flip),b,19286,a)]. 20438 K(((x / (x / y)) \ z) * u,L(w,u \ 1,K(y \ x,y))) = K((y \ z) * (u * K(y,x)),w). [hyper(236,a,16653,a(flip),b,19606,a)]. 20440 K(((x / (x / y)) \ z) * u,L(w,u \ 1,K(y \ x,y))) = K((T(y,x) \ z) * u,w). [hyper(236,a,18258,a(flip),b,20438,a)]. 20441 K(((x / (x / y)) \ z) * u,w) = K((T(y,x) \ z) * u,w). [hyper(17774,a,20440,a)]. 20443 K((T(x,x \ y) \ z) * u,w) = K((T(x,y) \ z) * u,w). [hyper(236,a,18381,a,b,20441,a(flip)),flip(a)]. 20444 K((T(x \ y,y) \ z) * u,w) = K(((y / x) \ z) * u,w). [para(62(a,1),20441(a,1,1,1,1,2)),flip(a)]. 20445 K((((x \ y) \ y) \ z) * u,w) = K((T(x,y) \ z) * u,w). [hyper(236,a,16806,a(flip),b,20443,a(flip)),flip(a)]. 20446 K(x,(T(y \ z,z) \ u) * w) = v5 / (K(((z / y) \ u) * w,x) * v5). [para(20444(a,1),5266(a,1,2,1)),flip(a)]. 20447 K((((x \ y) \ y) \ z) * u,T(w,u)) = K(u * (T(x,y) \ z),w). [hyper(236,a,13395,a(flip),b,20445,a)]. 20448 K(x * (((y \ z) \ z) \ u),w) = K(x * (T(y,z) \ u),w). [hyper(13410,a,20447,a)]. 20449 K(x * (T(y \ z,z) \ u),w) = K(x * (T(y \ z,y) \ u),w). [para(4108(a,2),20448(a,1,1,2,1)),flip(a)]. 20450 K(x * (T(y \ z,z) \ u),w) = K(x * ((z / y) \ u),w). [hyper(236,a,18231,a(flip),b,20449,a)]. 20451 K(x,y * (T(z \ u,u) \ w)) = v5 / (K(y * ((u / z) \ w),x) * v5). [para(20450(a,1),5266(a,1,2,1)),flip(a)]. 20452 K(x,(T(y \ z,z) \ u) * w) = K(x,((z / y) \ u) * w). [hyper(236,a,17975,a(flip),b,20446,a)]. 20453 K(x,(T(y \ (z * y),z * y) \ u) * w) = K(x,(z \ u) * w). [para(15(a,1),20452(a,2,2,1,1))]. 20454 K(x,(T(T(y,z),y * z) \ u) * w) = K(x,(y \ u) * w). [para(32(a,2),20453(a,1,2,1,1,1))]. 20455 K(x,(T(T(y,z),z) \ u) * w) = K(x,(y \ u) * w). [hyper(236,a,13458,a(flip),b,20454,a(flip)),flip(a)]. 20456 K(x,(T(y * z,z) \ u) * w) = K(x,((z * y) \ u) * w). [hyper(236,a,19688,a(flip),b,20455,a(flip)),flip(a)]. 20458 K(x,(T(a(y,z,y) \ u,y) \ w) * v5) = K(x,((y * (u / R(y,z,y))) \ w) * v5). [para(12325(a,1),20456(a,1,2,1,1,1))]. 20459 K(x,y * (T(z \ u,u) \ w)) = K(x,y * ((u / z) \ w)). [hyper(236,a,17975,a(flip),b,20451,a)]. 20460 K(x,y * ((z / u) \ T(w,T(u \ z,z)))) = K(x,y * (w / T(u \ z,z))). [hyper(236,a,15756,a(flip),b,20459,a(flip))]. 20461 K(x,y * ((z / u) \ T(w,z / u))) = K(x,y * (w / T(u \ z,z))). [para(8364(a,1),20460(a,1,2,2,2))]. 20462 K(x,y * (z / T(u \ w,w))) = K(x,y * (z / (w / u))). [hyper(236,a,15756,a(flip),b,20461,a(flip))]. 20463 K(x,y * (z / (u / (w \ u)))) = K(x,y * (z / T(T(w,u),u))). [hyper(236,a,18997,a(flip),b,20462,a(flip))]. 20464 K(x,y * (z / T(T(u,w),w))) = K(x,y * (z / u)). [para(62(a,1),20463(a,1,2,2,2)),flip(a)]. 20465 K(x,y * (T(z,u) \ T(u,w))) = K(x,y * (T(u,w) / z)). [hyper(236,a,16809,a(flip),b,20464,a(flip)),flip(a)]. 20466 K(x,K(T(y,z) \ T(z,u),w)) \ K(x,w * (T(z,u) / y)) = K(x,(T(y,z) \ T(z,u)) * w). [hyper(72,a,20465,a(flip),b,13238,a)]. 20467 K(x,((y * (z / R(y,u,y))) \ w) * v5) = K(x,(a(y,u,y) * (T(z,y) \ w)) * v5). [para(13443(a,1),20458(a,1,2,1)),flip(a)]. 20468 K(x,((y * (z / R(y,u,y))) \ w) * v5) = K(x,a(y,u,y) * ((T(z,y) \ w) * v5)). [para(12809(a,1),20467(a,2,2))]. 20469 K(x,((y * (z / R(y,u,y))) \ w) * v5) != v6 | K(x,(T(z,y) \ w) * v5) = v6. [para(20468(a,2),13067(a,1))]. 20470 K(x,K(T(y,z) / u,w)) \ K(x,w * (T(y,z) / u)) = K(x,(T(u,y) \ T(y,z)) * w). [para(16716(a,1),20466(a,1,1,2))]. 20471 K(x,K(y,z \ u)) \ K(x,y * (T(u,w) / z)) = K(x,(T(z,u) \ T(u,w)) * y). [para(17080(a,1),20470(a,1,1))]. 20472 K(x,(T(y,z) \ T(z,u)) * w) = K(x,(T(z,u) / y) * w). [hyper(236,a,17227,a(flip),b,20471,a(flip))]. 20474 K(x,K(y,z * T(u,w))) \ K(x,(T(z,u) \ T(u,w)) * y) = T(K(x,y * (T(u,w) / z)),K(x,K(y,z * T(u,w)))). [hyper(394,a,20472,a,b,16511,a),flip(a)]. 20475 L(L(L(x \ 1,y,K(z,u)),x,y),y * x,K(u,z)) = (K(u,z) * (K(z,u) * (y * x))) \ y. [hyper(236,a,20314,a(flip),b,20000,a(flip)),flip(a)]. 20477 L(L(L(x \ 1,y,K(z,u)),x,y),y * x,K(u,z)) = (y * x) \ y. [para(5268(a,1),20475(a,2,1))]. 20479 K(x,y * (T(z,z \ 1) * (L(z,z \ 1,u) \ 1))) = K(x,y * a(z \ u,z,z \ 1)). [para(4695(a,1),20158(a,1,2,2,1))]. 20480 K(x,y * (L(z,z \ 1,u) \ T(z,z \ 1))) = K(x,y * a(z \ u,z,z \ 1)). [para(2047(a,1),20479(a,1,2,2))]. 20482 K(x,y * (z * (1 / L(z,z \ 1,u)))) = K(x,y * a(z \ u,z,z \ 1)). [para(5896(a,1),20480(a,1,2,2))]. 20483 K(x,y * (z * (L(z,z \ 1,u) \ 1))) = K(x,y * a(z \ u,z,z \ 1)). [hyper(236,a,5485,a(flip),b,20482,a(flip)),flip(a)]. 20484 K(x,y * a(z \ u,z,z \ 1)) = K(x,y * (L(z,z \ 1,u) \ z)). [para(1211(a,1),20483(a,1,2,2)),flip(a)]. 20485 K((x * y) \ ((x * K(z,u)) * y),(x * K(z,u)) * y) = K(z,K(L(u,x,y),T(x * (y * K(z,u)),x))). [para(7310(a,1),20437(a,2,2))]. 20486 K((x * y) \ ((x * K(z,u)) * y),(x * K(z,u)) * y) = K(z,K(L(u,x,y),(y * K(z,u)) * x)). [para(13017(a,1),20485(a,2,2))]. 20487 K((x * y) \ ((x * K(z,u)) * y),(x * K(z,u)) * y) = K(z,K(L(u,x,y),x * y)). [hyper(236,a,17098,a(flip),b,20486,a)]. 20489 K((x * y) \ ((x * K(z,u)) * y),(x * K(z,u)) * y) = K(z,K(u,x * y)). [hyper(236,a,17753,a(flip),b,20487,a)]. 20491 K(K(x,(y * (z * u)) / (y * u)),(u * K(x,z)) * y) = K(x,K(z,u * y)). [para(17192(a,2),20489(a,1,1))]. 20492 K(K(x,(y * (z * u)) / (y * u)),u * (y * K(x,z))) = K(x,K(z,u * y)). [hyper(19460,a,20491,a)]. 20493 K(x,K((y * (z * u)) / (y * u),u * (y * K(x,z)))) = K(x,K(z,u * y)). [hyper(8011,a,20492,a)]. 20494 K(x,K((y * z) \ ((y * u) * z),y * (z * K(x,u)))) = K(x,K(u,y * z)). [para(16550(a,1),20493(a,1,2))]. 20495 K(x,K((y * z) \ ((y * u) * z),z * y)) = K(x,K(u,y * z)). [hyper(17101,a,20494,a)]. 20496 K(x,K(y * z,(y * u) * z)) = K(x,K(u,y * z)). [hyper(236,a,16860,a(flip),b,20495,a(flip)),flip(a)]. 20497 K(x,K(y,z * u)) * K(x,R(y * K(z,y),z,u)) = K(x,(z * u) \ ((z * y) * u)). [para(20496(a,1),9408(a,1,1))]. 20498 K(x,K(y,z * u)) * K(y,R(x * K(z,x),z,u)) = K(y,(z * u) \ ((z * x) * u)). [para(7919(a,1),20497(a,1,1))]. 20499 K(x,K(y,z * u)) * K(y,L(x * K(z,x),z,u)) = K(y,(z * u) \ ((z * x) * u)). [para(15348(a,1),20498(a,1,2))]. 20500 K(x,K(y,z * u)) * K(y,L(T(x,z),z,u)) = K(y,(z * u) \ ((z * x) * u)). [para(8490(a,1),20499(a,1,2))]. 20501 L(K(x,T(y,z)) * K(y,K(x,z * u)),z,u) = K(x,(z * u) \ ((z * y) * u)). [hyper(236,a,18688,a,b,20500,a(flip)),flip(a)]. 20502 L(K(x,T(T(y,z),z * u)),z,u) = K(x,(z * u) \ ((z * y) * u)). [para(16038(a,1),20501(a,1,1))]. 20503 K(x,L(T(T(y,z),z * u),z,u)) = K(x,(z * u) \ ((z * y) * u)). [hyper(11589,a,20502,a)]. 20504 K(x,(y * (z * u)) / (y * u)) = K(x,(u * y) \ ((u * z) * y)). [hyper(17202,a,20503,a)]. 20505 K(x,L(T(T(y,z),u * z),z,u)) = K(x,(z * u) \ ((z * y) * u)). [hyper(16413,a,20503,a)]. 20506 (x * (y * z)) / (x * (T(y,u) * z)) = K(u,(z * x) \ ((z * y) * x)). [hyper(236,a,6931,a,b,20504,a(flip)),flip(a)]. 20507 K(x,(y * z) \ ((y * u) * z)) = ((y * K(u,x)) * z) \ (y * z). [hyper(236,a,17241,a(flip),b,20504,a(flip))]. 20508 (x * y) * K(z,(y * x) \ ((y * u) * x)) = (y * K(z,u)) * T(x,y). [para(20504(a,1),15501(a,1,2))]. 20509 ((x * K(y,z)) * T(u,x)) \ (u * x) = K(z,(x * u) \ ((x * y) * u)). [hyper(236,a,17115,a,b,20507,a),flip(a)]. 20510 K(x,y / (z * (u \ (z \ y)))) = K(x,(y * z) \ ((y * u) * z)). [hyper(236,a,19098,a(flip),b,20505,a(flip)),flip(a)]. 20511 K((x * y) \ ((x * z) * y),u) = K(z,(x * y) \ ((x * u) * y)). [hyper(236,a,16564,a(flip),b,20505,a(flip)),flip(a)]. 20512 x * K(y,(x * z) \ ((x * u) * z)) = z * (K(y,T(u,x)) * (z \ x)). [para(20510(a,1),15492(a,1,2))]. 20513 K(x,(y * (z * (y \ u))) / u) = K(x,(u * y) \ ((u * z) * y)). [hyper(17,a,15554,a,b,20512,a),flip(a)]. 20514 (x * (y * (x \ z))) / (z * T(z \ (x * (y * (x \ z))),u)) = K(u,(z * x) \ ((z * y) * x)). [hyper(236,a,5419,a,b,20513,a(flip)),flip(a)]. 20515 x / (K(y,(z * u) \ ((z * w) * u)) * x) = K((u * (w * (u \ z))) / z,y). [para(20513(a,1),5266(a,1,2,1))]. 20516 K((x * (y * (x \ z))) / z,u) = K((z * x) \ ((z * y) * x),u). [hyper(17977,a,20515,a),flip(a)]. 20517 K((x * (y * (x \ z))) / z,u) = K(y,(z * x) \ ((z * u) * x)). [hyper(236,a,20511,a(flip),b,20516,a)]. 20518 K(x \ (y * (z * (y \ x))),u / x) = K(z,(x * y) \ ((x * (x \ u)) * y)). [hyper(8394,a,20517,a)]. 20519 K(x \ (y * (z * (y \ x))),u / x) = K(z,(x * y) \ (u * y)). [para(14(a,1),20518(a,2,2,2,1))]. 20520 K(x,L(T(y / z,u * z),z,u)) = K(x,(z * u) \ (y * u)). [hyper(236,a,16548,a(flip),b,20519,a(flip)),flip(a)]. 20522 (x * (y * (x \ z))) / (x * (T(y,u) * (x \ z))) = K(u,(z * x) \ ((z * y) * x)). [para(1237(a,1),20514(a,1,2))]. 20523 K(x,((y \ z) * y) \ (((y \ z) * u) * y)) = K(x,(z * y) \ ((z * u) * y)). [hyper(236,a,20506,a(flip),b,20522,a(flip)),flip(a)]. 20524 K(x,(y * z) \ ((y * u) * z)) = K(x,y \ (((y / z) * u) * z)). [hyper(19920,a,20523,a),flip(a)]. 20525 K((x * y) / ((z \ x) * y),u \ (((u / w) * v5) * w)) = K(z,L((u * w) \ ((u * v5) * w),x,y)). [hyper(15393,a,20524,a),flip(a)]. 20526 ((x * K(y,z)) * T(u,x)) \ (u * x) = K(z,x \ (((x / u) * y) * u)). [hyper(236,a,20509,a,b,20524,a(flip)),flip(a)]. 20527 (x * y) * K(z,y \ (((y / x) * u) * x)) = (y * K(z,u)) * T(x,y). [para(20524(a,1),20508(a,1,2))]. 20528 ((x * K(y,z)) * T(u,x)) \ (u * x) = K(x \ (((x / u) * z) * u),y). [para(20527(a,1),7549(a,1,1))]. 20530 (x * y) * K(z,x \ (((x / y) * u) * y)) = K(x,y) * ((x * K(z,u)) * T(y,x)). [para(20527(a,1),11049(a,1,2)),flip(a)]. 20531 K(x \ (((x / y) * z) * y),u) = K(z,x \ (((x / y) * u) * y)). [hyper(236,a,20526,a(flip),b,20528,a(flip))]. 20532 R(K(x \ (((x / y) * z) * y),u),w,v5) = K(z,x \ (((x / y) * L(u,w,v5)) * y)). [hyper(15358,a,20531,a)]. 20533 K(x,y \ (((y / z) * L(u,w,u \ v5)) * z)) = K(y \ (((y / z) * x) * z),L(u,w,v5)). [hyper(14593,a,20531,a),flip(a)]. 20534 (x * y) * K(z,x \ (((x / y) * u) * y)) != w * v5 | w \ ((x * K(z,u)) * y) = v5. [para(20530(a,2),17114(a,1))]. 20535 R(K(x,y \ (((y / z) * u) * z)),w,v5) = K(x,y \ (((y / z) * L(u,w,v5)) * z)). [para(20531(a,1),20532(a,1,1))]. 20536 K(x,L(y \ (((y / z) * u) * z),w,v5)) = K(x,y \ (((y / z) * L(u,w,v5)) * z)). [hyper(15385,a,20535,a)]. 20538 x * K(y,L(z \ (((z / x) * u) * x),x,z \ 1)) = z \ ((z * K(y,u)) * x). [hyper(20534,a,18798,a(flip)),flip(a)]. 20539 K(x,y \ (((y / z) * L(u,w,u \ v5)) * z)) = K(x,y \ (((y / z) * L(u,w,v5)) * z)). [hyper(236,a,20531,a(flip),b,20533,a)]. 20540 K(x,y \ (((y / z) * L(u,w,u \ v5)) * z)) = K(x,L(y \ (((y / z) * u) * z),w,v5)). [hyper(236,a,20536,a,b,20539,a)]. 20541 K(x,L(y \ (((y / z) * u) * z),w,u \ v5)) = K(x,L(y \ (((y / z) * u) * z),w,v5)). [hyper(236,a,20536,a,b,20540,a(flip)),flip(a)]. 20542 K(x,L((y * z) \ ((y * u) * z),w,v5)) = K(x,L(y \ (((y / z) * u) * z),w,v5)). [hyper(15393,a,20525,a),flip(a)]. 20543 K(x,L(y \ (((y / z) * u) * z),z,(y * u) \ 1)) = K(x,((y * u) \ (y * z)) \ z). [hyper(236,a,18824,a(flip),b,20542,a(flip))]. 20544 K(x,L(y \ (((y / z) * u) * z),z,y \ 1)) = K(x,z \ (y \ ((y * u) * z))). [hyper(236,a,18805,a(flip),b,20542,a(flip))]. 20545 x * K(y,x \ (z \ ((z * u) * x))) = z \ ((z * K(y,u)) * x). [para(20544(a,1),20538(a,1,2))]. 20546 K(x,L(y \ (((y / z) * u) * z),z,u \ (y \ 1))) = K(x,((y * u) \ (y * z)) \ z). [hyper(14944,a,20543,a)]. 20547 K(x,L(y \ (((y / z) * u) * z),z,y \ 1)) = K(x,((y * u) \ (y * z)) \ z). [hyper(236,a,20541,a(flip),b,20546,a(flip)),flip(a)]. 20548 K(x,((y * z) \ (y * u)) \ u) = K(x,u \ (y \ ((y * z) * u))). [hyper(236,a,20544,a(flip),b,20547,a(flip))]. 20549 K(x,y \ (z \ ((z * (z \ u)) * y))) = K(x,(u \ (z * y)) \ y). [para(14(a,1),20548(a,1,2,1,1)),flip(a)]. 20550 K(x,(y \ (z * u)) \ u) = K(x,u \ (z \ (y * u))). [para(14(a,1),20549(a,1,2,2,2,1)),flip(a)]. 20552 K(x,y) * (1 / (a(K(x,y) * z,u,u \ 1) \ (z \ 1))) = R(K(x,y) * z,u,u \ 1). [para(14195(a,1),19201(a,1,2))]. 20553 K(x,y) / (a(K(x,y) * z,u,u \ 1) \ (z \ 1)) = R(K(x,y) * z,u,u \ 1). [hyper(14512,a,20552,a)]. 20554 K(x,(T(((y \ z) \ z) * u,T(y,z)) \ w) \ v5) = K(x,((((y * u) \ y) \ ((y \ z) \ z)) \ w) \ v5). [para(8330(a,1),19443(a,1,2,1,1))]. 20555 K(x,((((y * z) \ y) \ ((y \ u) \ u)) \ w) \ v5) = K(x,(T(((y \ u) \ u) * z,y) \ w) \ v5). [hyper(236,a,19698,a(flip),b,20554,a(flip))]. 20556 K(x,(T(((y \ z) \ z) * u,y) \ 1) \ w) = K(x,(((y * u) \ y) \ ((y \ z) \ z)) * w). [hyper(14234,a,20555,a),flip(a)]. 20558 K(x,((((y \ z) \ z) / ((y * u) \ y)) \ K((y * u) \ y,((y * u) \ y) \ ((y \ z) \ z))) \ w) = K(x,(T(((y \ z) \ z) * u,y) \ 1) \ w). [para(5222(a,2),20555(a,1,2,1))]. 20559 K(x,((((y \ z) \ z) * u) \ K(y,((y \ z) \ z) * u)) \ w) = K(x,(((y * u) \ y) \ ((y \ z) \ z)) * w). [para(4833(a,1),20556(a,1,2,1))]. 20560 K(x,T(T(y / z,y) * u,u) \ w) = K(x,(((T(y / z,y) * u) \ T(y / z,y)) \ (z \ y)) \ w). [hyper(236,a,19308,a(flip),b,19634,a(flip)),flip(a)]. 20561 K(x,(((T(y / z,y) * u) \ T(y / z,y)) \ (z \ y)) \ w) = K(x,(u * T(y / z,y)) \ w). [hyper(236,a,15764,a(flip),b,20560,a(flip))]. 20562 K(x,((((y / z) * u) \ (y / z)) \ (z \ y)) \ w) = K(x,(u * T(y / z,y)) \ w). [para(14471(a,1),20561(a,1,2,1,1))]. 20564 K(x,((((y \ z) * u) \ (y \ z)) \ (y \ z)) \ w) = K(x,(u * T(z / y,z)) \ w). [para(14948(a,1),20562(a,1,2,1,1))]. 20565 K(x,T((y \ z) * u,y \ z) \ w) = K(x,(u * T(z / y,z)) \ w). [hyper(13208,a,20564,a)]. 20566 K(x,(y * T(z / u,z)) \ w) = K(x,(y * (u \ z)) \ w). [hyper(13223,a,20565,a),flip(a)]. 20567 K(x,(y * T(T(z,u) / w,z)) \ v5) = K(x,(y * (w \ T(z,u))) \ v5). [hyper(236,a,19434,a(flip),b,20566,a(flip)),flip(a)]. 20568 K(x,(y * T(T(z,u) / w,T(z,v5))) \ v6) = K(x,(y * (w \ T(z,u))) \ v6). [hyper(236,a,19434,a,b,20567,a(flip)),flip(a)]. 20569 K(x,(y * T(T(z,u \ z) / u,T(z,w))) \ v5) = K(x,(y * ((z * (u \ z)) / z)) \ v5). [para(3896(a,1),20568(a,2,2,1,2))]. 20570 K(x,(y * ((z * (u \ z)) / z)) \ w) = K(x,(y * (z / u)) \ w). [para(9425(a,1),20569(a,1,2,1,2)),flip(a)]. 20571 K(x,(y * T(z \ u,u)) \ w) = K(x,(y * (u / z)) \ w). [hyper(19530,a,20570,a)]. 20572 K(x,K(y,z * (u \ w))) * K(y,(z * (w / u)) \ x) = K(y,x / (z * T(u \ w,w))). [para(20571(a,1),17073(a,1,2))]. 20573 K(x,y / (z * T(u \ w,w))) = K(x,y / (z * (w / u))). [hyper(236,a,17096,a(flip),b,20572,a(flip))]. 20574 K(x,y / (z * T(u \ (w \ 1),w))) = K(x,y / (z * ((w \ 1) / u))). [hyper(236,a,19739,a(flip),b,20573,a(flip)),flip(a)]. 20575 K(x,y / (T(z,z \ (u \ 1)) \ 1)) = K(x,y / (u * ((z \ 1) / u))). [para(6950(a,2),20574(a,1,2,2))]. 20576 K(x,y / (z * ((u \ 1) / z))) = K(x,y * T(u,u \ (z \ 1))). [hyper(236,a,14131,a(flip),b,20575,a(flip))]. 20577 K(x,y / (z * ((u \ 1) / z))) = K(x,y * T(u,z \ 1)). [hyper(236,a,13052,a(flip),b,20576,a)]. 20578 K(x,y / ((z / u) * ((w \ 1) / (z / u)))) = K(x,y * T(w,z \ u)). [hyper(236,a,16711,a(flip),b,20577,a)]. 20579 K(x,y / T(z \ 1,u / w)) = K(x,y * T(z,u \ w)). [hyper(19511,a,20578,a)]. 20580 K(x,((((y \ z) \ z) * u) \ K(y,T(y,z) * u)) \ w) = K(x,(((y * u) \ y) \ ((y \ z) \ z)) * w). [para(13056(a,1),20559(a,1,2,1,2))]. 20581 K(x,((((y \ z) \ z) * u) \ K(y,y * u)) \ w) = K(x,(((y * u) \ y) \ ((y \ z) \ z)) * w). [para(7430(a,1),20580(a,1,2,1,2))]. 20582 K(x,(((y * z) \ y) \ ((y \ u) \ u)) * w) = K(x,(((y \ u) \ u) * z) * (w * K(y,z))). [hyper(236,a,19291,a(flip),b,20581,a(flip))]. 20584 K(x,(((y * z) \ y) \ ((y \ u) \ u)) * w) = K(x,(T(y,u) * z) * (w * K(y,z))). [hyper(236,a,18523,a(flip),b,20582,a)]. 20585 K(x,(((y * z) \ y) \ ((y \ u) \ u)) * w) = K(x,(T(T(y,z),u) * z) * w). [hyper(236,a,18539,a(flip),b,20584,a)]. 20586 K(x,(((y * z) \ y) \ ((y \ u) \ u)) * w) = K(x,(z * T(y,u)) * w). [hyper(236,a,18501,a(flip),b,20585,a)]. 20587 K(x,(T(((y \ z) \ z) * u,y) \ 1) \ w) = K(x,(u * T(y,z)) * w). [hyper(236,a,20556,a,b,20586,a(flip)),flip(a)]. 20588 K(x \ 1,x) * ((a(y,x \ 1,x) \ 1) \ z) = (x * L(x \ 1,x,y * (x \ 1))) \ z. [para(2729(a,1),19019(a,1,1))]. 20590 (x * L(x \ 1,x,y * (x \ 1))) \ z = K(x \ 1,x) * (a(y,x \ 1,x) * z). [para(18896(a,1),20588(a,1,2)),flip(a)]. 20591 K(x,L((y * K(z,L(u,w,v5 \ 1))) / (v5 \ w),y,K(u,L(z,w,v5 \ 1)))) = K(x,y / (v5 \ (w * K(u,z)))). [para(11533(a,1),19099(a,1,2,1,1,2))]. 20592 K(x,(y * K(z,L(u,w,v5 \ 1))) / (v5 \ w)) = K(x,y / (v5 \ (w * K(u,z)))). [hyper(17774,a,20591,a)]. 20593 K(x,y * ((z \ u) \ K(w,L(v5,u,z \ 1)))) = K(x,y / (z \ (u * K(v5,w)))). [hyper(19402,a,20592,a)]. 20595 (K(x,K(y,z)) \ (u * w)) \ ((K(x,K(y,z)) * u) * (w * v5)) = L(v5,L(w,u,K(x,K(y,z))),K(x,K(y,z)) * u). [para(7964(a,2),17671(a,1,1))]. 20596 K(x,L((y / (z \ 1)) / u,u,z \ 1)) = K(x,(y * K(w,L(v5,z \ 1,y * z))) / (u * (z \ K(w,v5)))). [hyper(19939,a,18403,a)]. 20597 K(x,(y * K(z,L(u,w \ 1,y * w))) / (v5 * (w \ K(z,u)))) = K(x,y / (v5 * (w \ 1))). [hyper(236,a,15354,a(flip),b,20596,a(flip))]. 20598 K(x,((y / (z \ 1)) * (z \ K(u,w))) / (v5 * (z \ K(u,w)))) = K(x,y / (v5 * (z \ 1))). [para(18402(a,1),20597(a,1,2,1))]. 20605 K(((x \ y) * T(x,y)) \ (z * T(x,y)),T(z \ y,K(y,x))) = K((x \ y) \ z,z \ ((x \ y) * T(x,y))). [para(14435(a,1),19455(a,1,2))]. 20606 K(((x \ y) * T(x,y)) \ (z * T(x,y)),z \ y) = K((x \ y) \ z,z \ ((x \ y) * T(x,y))). [hyper(16173,a,20605,a)]. 20608 K((T(x,y) \ (z * T(y,x))) * K(x,y),z \ x) = K((y \ x) \ z,z \ ((y \ x) * T(y,x))). [hyper(236,a,19559,a(flip),b,20606,a(flip)),flip(a)]. 20609 K((x \ y) \ z,z \ ((x \ y) * T(x,y))) = K(y \ (z * T(x,y)),z \ y). [hyper(16237,a,20608,a),flip(a)]. 20610 K((x \ y) \ z,z \ ((x \ y) * T(x,y))) = K(y \ (z * x),T(z \ y,y)). [hyper(236,a,15776,a(flip),b,20609,a)]. 20611 K((x \ y) \ z,z \ ((x \ y) * T(x,y))) = K(y \ (z * x),y / z). [hyper(236,a,8066,a(flip),b,20610,a)]. 20612 K((x \ y) \ z,K(x,y) * (z \ T(y,x))) = K(y \ (z * x),y / z). [hyper(236,a,19425,a(flip),b,20611,a(flip)),flip(a)]. 20613 K((x \ y) \ z,T(z \ y,K(y,x))) = K(y \ (z * x),y / z). [para(14435(a,1),20612(a,1,2))]. 20614 K((x \ y) \ z,z \ y) = K(y \ (z * x),y / z). [hyper(16173,a,20613,a)]. 20616 a(x,y,K(z \ (y * u),z / y)) * K(x,(y * u) / z) = K(x,y / (z / u)). [para(20614(a,1),20035(a,1,1,3))]. 20617 a(x,y,K(z \ (y * u),y \ z)) * K(x,(y * u) / z) = K(x,y / (z / u)). [para(17993(a,1),20616(a,1,1))]. 20618 a(x,y,K(z,y \ u)) * K(x,(y * z) / u) = K(x,y / (u / z)). [para(11747(a,1),20617(a,1,1))]. 20619 K((x * y) / z,u) * K(u,x / (z / y)) = a(u,x,K(y,x \ z)). [hyper(18,a,16167,a,b,20618,a),flip(a)]. 20620 (x * a(x,y,K(z,y \ u))) * K(x,(y * z) / u) = x * K(x,y / (u / z)). [para(20618(a,1),8232(a,2,2))]. 20621 a(x,y,K(a(z,u,u \ 1),y \ w)) * K(x,(a(z,u,u \ 1) * y) / w) = K(x,y / (w / a(z,u,u \ 1))). [para(13894(a,2),20618(a,1,2,2,1))]. 20622 K(x,y * (a(z,u,K(w,u \ v5)) * K(z,v5 \ (u * w)))) = K(x,y * K(z,u / (v5 / w))). [para(20618(a,1),16783(a,1,2,2)),flip(a)]. 20623 a(x,y,K(z,y \ u)) * K(x,(y * L(z,w,K(v5,v6))) / u) = K(x,y / (u / L(z,w,K(v5,v6)))). [para(17692(a,1),20618(a,1,1,3))]. 20624 a(x,K(y,z / (u / w)),K(K((z * w) / u,y),v5)) * K(v5,a(y,z,K(w,z \ u)) \ (T(K(y,z / (u / w)),v6) * x)) = K(v5,T(K(y,z / (u / w)),v6) \ (K((z * w) / u,y) \ (K(y,z / (u / w)) * x))). [para(20619(a,1),20358(a,1,2,2,1))]. 20625 L(x,y,K(z,y \ u)) * K(x,(y * z) / u) = x * K(x,y / (u / z)). [para(14672(a,1),20620(a,1,1))]. 20626 L(x * K(x,(y * z) / u),y,K(z,y \ u)) = x * K(x,y / (u / z)). [hyper(19994,a,20625,a)]. 20627 L(T(x,(y * z) / u),y,K(z,y \ u)) = x * K(x,y / (u / z)). [para(4887(a,2),20626(a,1,1))]. 20628 L(T(x,(y * z) / u),y,K(z,y \ u)) = T(x,y / (u / z)). [hyper(236,a,4887,a,b,20627,a)]. 20629 K(x,y * K(z,u / (w / v5))) = K(x,y * K(z,w \ (u * v5))). [hyper(236,a,18122,a(flip),b,20622,a(flip))]. 20631 K(x,(y / T(z,u / (w / v5))) * a(v6,v7,K(v8,v9))) = K(x,(y / z) * K(z,w \ (u * v5))). [hyper(236,a,18485,a,b,20629,a(flip)),flip(a)]. 20632 K(x,(y / T(z,u / (w / v5))) * a(v6,v7,K(v8,v9))) = K(x,y * (z \ K(z,w \ (u * v5)))). [hyper(236,a,19203,a(flip),b,20631,a)]. 20633 K(x,(y / T(z,u / (w / v5))) * a(v6,v7,K(v8,v9))) = K(x,y / T(z,w \ (u * v5))). [hyper(236,a,19256,a(flip),b,20632,a)]. 20634 K(x,y / T(z,u / (w / v5))) = K(x,y / T(z,w \ (u * v5))). [hyper(18064,a,20633,a)]. 20635 K(x,T((y \ z) \ u,(z \ (y \ z)) \ u)) = K(x,T(u,z \ (y \ z)) / ((y \ z) * K(y \ 1,z))). [para(14(a,1),19693(a,1,2,1,1))]. 20636 K(x,T((y \ z) \ u,(y \ z) \ (u * z))) = K(x,T(u,z \ (y \ z)) / ((y \ z) * K(y \ 1,z))). [hyper(18033,a,20635,a)]. 20638 K(x,T(y,z \ (u \ z)) / ((u \ z) * K(u \ 1,z))) = K(x,T((u \ z) \ y,z)). [hyper(10789,a,20636,a),flip(a)]. 20639 K(x,(T(y,z \ (u \ z)) / (u \ z)) * K(z,u \ 1)) = K(x,T((u \ z) \ y,z)). [hyper(19392,a,20638,a)]. 20640 K(x,(T(y,z \ (u \ z)) / (u \ z)) * K(u,z)) = K(x,T((u \ z) \ y,z)). [hyper(16417,a,20639,a)]. 20641 K(x,T(y,z \ (u \ z)) * ((u \ z) \ K(u,z))) = K(x,T((u \ z) \ y,z)). [hyper(19296,a,20640,a)]. 20642 K(x,T(y,z \ (u \ z)) / (T(u,z) \ z)) = K(x,T((u \ z) \ y,z)). [hyper(14545,a,20641,a)]. 20643 K(x,T(y,z \ (u \ z)) / (z / u)) = K(x,T((u \ z) \ y,z)). [hyper(19478,a,20642,a)]. 20644 K(x,T((y \ z) \ u,z)) = K(x,T(u,y) / (z / y)). [hyper(236,a,19262,a(flip),b,20643,a(flip))]. 20646 K(x,T((y \ z) \ (y \ u),z)) = K(x,(u / y) / (z / y)). [hyper(236,a,17438,a(flip),b,20644,a)]. 20647 K(x,(((y \ z) \ u) * w) / (K(z,(y \ z) \ u) * w)) = K(x,T(u,y) / (z / y)). [para(5354(a,2),20644(a,1,2))]. 20648 K(x,T((T(y * z,y) \ u) \ ((z * y) \ w),u)) = K(x,(w / T(y * z,y)) / (u / T(y * z,y))). [hyper(19687,a,20646,a)]. 20649 K(x,(((y \ z) \ u) * w) / (K(z,z \ (y * u)) * w)) = K(x,T(u,y) / (z / y)). [para(14580(a,1),20647(a,1,2,2,1))]. 20650 K(x,(((y \ z) \ u) * w) * (w \ K(z \ (y * u),z))) = K(x,T(u,y) / (z / y)). [hyper(19398,a,20649,a)]. 20651 K(x,(((y \ z) \ u) * w) * (w \ K(y * u,z))) = K(x,T(u,y) / (z / y)). [hyper(236,a,19507,a(flip),b,20650,a(flip)),flip(a)]. 20652 K(x,((y \ z) \ u) * K(y * u,z)) = K(x,T(u,y) / (z / y)). [hyper(236,a,19241,a(flip),b,20651,a(flip)),flip(a)]. 20653 K(x,(y \ T(z,y * u)) \ u) = K(x,T(u,y) / (z / y)). [hyper(236,a,19274,a(flip),b,20652,a(flip)),flip(a)]. 20654 K(x,((y \ z) \ T(u,y \ (w * (z / w)))) \ K(w,w \ z)) = K(x,T(K(w,w \ z),y \ z) / (u / (y \ z))). [para(15624(a,1),20653(a,1,2,1,2,2))]. 20655 K(x,(y / T(z * u,z)) / (z / T(z * u,z))) = K(x,T((z / (z * u)) \ ((u * z) \ y),z)). [hyper(236,a,19763,a(flip),b,20648,a(flip))]. 20656 K(x,(y / T(z * u,z)) / (z / T(z * u,z))) = K(x,T(((u * z) \ z) \ ((u * z) \ y),z)). [hyper(236,a,20402,a(flip),b,20655,a)]. 20657 K(x,(y / T(z * u,z)) / (z / T(z * u,z))) = K(x,(y / (u * z)) / (z / (u * z))). [hyper(236,a,20646,a(flip),b,20656,a)]. 20658 K(x,(y / T(z * u,z)) / (z / T(z * u,z))) = K(x,(y / (u * z)) / ((z * u) \ z)). [hyper(236,a,20229,a(flip),b,20657,a)]. 20659 (x / (K(x,x \ y) * z)) * (y / (x / (K(x,x \ y) * z))) = y * K((z \ x) * K(x \ y,x),(y / x) * z). [para(14468(a,1),19899(a,2,2,1))]. 20660 K(x,K(y,z * (u * w))) * K(x,y * ((z * ((v5 * u) / v5)) \ w)) = K(x,((z * ((v5 * u) / v5)) \ w) * y). [para(17099(a,1),20253(a,1,1))]. 20662 (K(x,K(y,z)) \ (u * w)) \ ((K(K(y,z),x) \ u) * (w * v5)) = L(v5,L(w,u,K(x,K(y,z))),K(x,K(y,z)) * u). [para(5260(a,2),20595(a,1,2,1))]. 20663 a(x,y,a(z,u,K(u \ 1,y \ w))) * K(x,(a(z,u,u \ 1) * y) / w) = K(x,y / (w / a(z,u,u \ 1))). [para(13871(a,2),20621(a,1,1,3))]. 20664 K(x,((y \ z) \ T(u,y \ T(z,w))) \ K(w,w \ z)) = K(x,T(K(w,w \ z),y \ z) / (u / (y \ z))). [para(16397(a,1),20654(a,1,2,1,2))]. 20665 K(x,T(K(y,y \ z),u \ z) / (w / (u \ z))) = K(x,((u \ z) \ T(w,u \ T(z,y))) \ K(y,z)). [hyper(236,a,13093,a(flip),b,20664,a(flip))]. 20666 K(x,T(K(y,y \ z),u \ z) / (w / (u \ z))) = K(x,K(y,z) * (T(w,u \ T(z,y)) \ (u \ z))). [hyper(236,a,19352,a(flip),b,20665,a)]. 20667 K(x,T(K(y,y \ z),u \ z) / (w / (u \ z))) = K(x,T(w,u \ T(z,y)) \ (u \ T(z,y))). [hyper(236,a,19293,a(flip),b,20666,a)]. 20668 K(x,T(K(y,y \ z),u \ z) / (w / (u \ z))) = K(x,(u \ T(z,y)) / w). [hyper(236,a,13146,a(flip),b,20667,a)]. 20669 K(x,K(y,T(y \ z,u \ z)) / (w / (u \ z))) = K(x,(u \ T(z,y)) / w). [para(7256(a,2),20668(a,1,2,1))]. 20670 K(x,K(y,T(y \ z,u)) / (w / (u \ z))) = K(x,(u \ T(z,y)) / w). [para(9351(a,1),20669(a,1,2,1))]. 20671 K(x,(y / (z \ u)) \ K(w,T(w \ u,z))) = K(x,(z \ T(u,w)) / y). [hyper(16169,a,20670,a)]. 20672 K(x,(y / (z \ u)) \ K(w,w \ u)) = K(x,(z \ T(u,w)) / y). [hyper(17933,a,20671,a)]. 20673 K(x,(y / (z \ u)) \ K(w,u)) = K(x,(z \ T(u,w)) / y). [hyper(236,a,13093,a(flip),b,20672,a(flip)),flip(a)]. 20674 K(x,(y \ z) * (u \ K(w,z))) = K(x,(y \ T(z,w)) / u). [hyper(19404,a,20673,a)]. 20675 K(x,(y \ (z * (u / z))) / w) = K(x,(y \ T(u,z)) / w). [hyper(236,a,19503,a,b,20674,a(flip)),flip(a)]. 20676 (x / (K(x,x \ y) * z)) * (y / (x / (K(x,x \ y) * z))) = y * K(K(y,x) * (z \ x),(y / x) * z). [para(16270(a,1),20659(a,2,2))]. 20677 (x / (K(x,x \ y) * z)) * (y / (x / (K(x,x \ y) * z))) = y * K(z \ T(x,y),(y / x) * z). [para(16268(a,1),20676(a,2,2))]. 20678 ((x / y) * K(x \ z,x)) * (z / (x / (K(x,x \ z) * y))) = z * K(y \ T(x,z),(z / x) * y). [para(18667(a,1),20677(a,1,1))]. 20679 ((x / y) * K(x \ z,x)) * (z / ((x / y) * K(x \ z,x))) = z * K(y \ T(x,z),(z / x) * y). [para(18667(a,1),20678(a,1,2,2))]. 20680 (x / y) * T(z / T(x / y,K(x \ z,x)),K(x \ z,x)) = z * K(y \ T(x,z),(z / x) * y). [hyper(236,a,19832,a(flip),b,20679,a(flip)),flip(a)]. 20681 (x / y) * T(z / T(x / y,K(z,x)),K(x \ z,x)) = z * K(y \ T(x,z),(z / x) * y). [para(9313(a,1),20680(a,1,2,1,2))]. 20682 (x / y) * T(T(z / (x / y),K(z,x)),K(x \ z,x)) = z * K(y \ T(x,z),(z / x) * y). [para(9428(a,1),20681(a,1,2,1))]. 20683 (x / y) * T(T(z / (x / y),K(z,x)),K(z,x)) = z * K(y \ T(x,z),(z / x) * y). [para(9313(a,1),20682(a,1,2))]. 20684 x * K(y \ T(z,x),(x / z) * y) = (z / y) * (x / (z / y)). [para(7983(a,1),20683(a,1,2)),flip(a)]. 20686 x * K(y \ z,y * (x / z)) = (z / y) * (x / (z / y)). [para(20203(a,1),20684(a,1,2))]. 20687 T((x / y) * (z / (x / y)),K(x,y)) = z * K(y \ x,(z / x) * y). [para(20686(a,1),17122(a,1,1))]. 20688 (K(x,K(y,z)) \ (u * w)) \ ((K(y,K(x,z)) \ u) * (w * v5)) = L(v5,L(w,u,K(x,K(y,z))),K(x,K(y,z)) * u). [para(7935(a,1),20662(a,1,2,1,1))]. 20689 (K(x,K(y,z)) \ (u * w)) \ (K(x,K(y,z)) \ (u * (w * v5))) = L(v5,L(w,u,K(x,K(y,z))),K(x,K(y,z)) * u). [para(17895(a,2),20688(a,1,2))]. 20690 L(x,L(y,z,K(u,K(w,v5))),K(u,K(w,v5)) * z) = (z * y) \ (z * (y * x)). [hyper(236,a,17852,a(flip),b,20689,a(flip))]. 20692 L(x,L(y,z,K(u,K(w,v5))),K(u,K(w,v5)) * z) = L(x,y,z). [hyper(236,a,28,a,b,20690,a)]. 20693 L(x,y,K(z,K(u,w)) * v5) = L(x,y,v5). [para(17657(a,1),20692(a,1,2))]. 20694 L(x,y,z * K(u,K(w,v5))) = L(x,y,z). [hyper(236,a,17744,a(flip),b,20693,a(flip)),flip(a)]. 20695 L(x,y,K(z,T(u,w))) = L(x,y,K(z,u)). [para(7265(a,1),20693(a,1,3))]. 20696 L(x,y,K(z,u / w)) = L(x,y,K(z,w \ u)). [para(9379(a,1),20693(a,1,3))]. 20697 L(L(x,y,z),u,K(w,K(v5,v6))) = L(x,y,z * K(v7,K(v8,v9))). [hyper(236,a,17657,a,b,20694,a),flip(a)]. 20699 x * (y * a(z,u,K(y * x,w))) = L(x * y,u,K(w,z)). [hyper(236,a,14884,a,b,20695,a(flip)),flip(a)]. 20700 L(x,y,K(z \ (u \ z),w)) = L(x,y,K(u \ 1,w)). [para(7370(a,2),20695(a,1,3))]. 20701 L(T(x,y),z,K(y,u / w)) = T(x,L(y,z,u \ w)). [hyper(236,a,14740,a(flip),b,20696,a)]. 20702 (x \ y) \ (x \ L(T(y,(z * u) / w),v5,K(u,z \ w))) = K(y,L((z * u) / w,v5,u \ 1)). [para(20696(a,1),15095(a,1,2,2))]. 20703 L(x,y,K(z \ 1,(u \ (z \ u)) \ y)) != w | w = x. [para(20700(a,1),11112(a,1))]. 20704 K(x,L(y,z,L(u / (w / v5),u,u \ w) \ 1)) = (v6 / y) \ (v6 / T(y,L(x,z,(u * v5) \ w))). [para(20701(a,1),18421(a,2,2,2))]. 20705 L(x,y,K((z \ (u \ z)) \ y,u)) = x. [hyper(20703,a,14714,a)]. 20707 K(x,(y \ (y / (1 / (z \ 1)))) \ ((z \ 1) * u)) = (w \ x) \ (w \ T(x,(z * (y \ (y / z))) \ u)). [para(20705(a,1),15292(a,1,2,2)),flip(a)]. 20708 K(x,(y \ (y / ((z \ 1) \ 1))) \ ((z \ 1) * u)) = (w \ x) \ (w \ T(x,((y \ (y / z)) * z) \ u)). [para(20705(a,1),15294(a,1,2,2)),flip(a)]. 20711 L(x,y,z * K(u,K(w,v5))) != v6 | L(x,y,z) = v6. [para(20697(a,1),326(a,1)),flip(b)]. 20712 L(x,y,z * T(u,K(w,v5))) != v6 | L(x,y,z * u) = v6. [para(1251(a,1),20711(a,1,3))]. 20713 L(x,y,T(z,K(u,w)) * v5) != v6 | L(x,y,z * v5) = v6. [para(5689(a,1),20711(a,1,3))]. 20714 L(x,y,K(z,K(u,w)) * v5) != v6 | L(x,y,v5) = v6. [para(7249(a,1),20711(a,1,3))]. 20715 L(x,y,K(z,u) * (T(w,K(v5,v6)) * v7)) != v8 | L(x,y,K(z,u) * (w * v7)) = v8. [para(17974(a,1),20714(a,1,3))]. 20716 L(x,y,T((z \ u) \ w,K(z,v5)) * (z \ u)) = L(x,y,T(w,T(z,v5) \ u)). [hyper(20712,a,18718,a)]. 20717 L(x,y,T(z,T(u,w) \ v5)) = L(x,y,((u \ v5) \ z) * (u \ v5)). [hyper(20713,a,20716,a),flip(a)]. 20718 L(x,y,T(z,T(u,w) \ v5)) = L(x,y,T(z,u \ v5)). [hyper(236,a,13510,a(flip),b,20717,a)]. 20719 L(x,y,T(z * K(u,w),w \ z)) = L(x,y,w * (z / T(w,u))). [hyper(236,a,16572,a(flip),b,20718,a(flip))]. 20721 K(x,L((y * z) / u,y,z \ 1)) = (w \ x) \ (w \ T(x,y / (u / z))). [para(20628(a,1),20702(a,1,2,2)),flip(a)]. 20722 K(x,L((y * z) / u,y,z \ 1)) != w | K(x,y / (u / z)) = w. [para(20721(a,2),14437(a,1))]. 20723 K(x,((y / L(z \ 1,z,y)) * u) / y) = K(x,y / ((y / u) / z)). [hyper(20722,a,18413,a),flip(a)]. 20724 K(x,y / (z * ((y * u) \ y))) = K(x,y / (z / u)). [hyper(20722,a,15466,a),flip(a)]. 20725 K(x,L((y * z) / u,u,z \ 1)) = K(x,y / (u / z)). [hyper(20722,a,14917,a(flip)),flip(a)]. 20726 K(x,y / (z * ((y * u) \ y))) != w | K(x,y / (z / u)) = w. [para(15466(a,1),20722(a,1))]. 20727 K(x,((y * z) / u) / y) != w | K(x,y / ((y * u) / z)) = w. [para(20007(a,1),20722(a,1))]. 20728 K(x,y / ((z * K((y * u) \ y,w)) / u)) = K(x,y / (z * T((y * u) \ y,w))). [para(6188(a,1),20724(a,1,2,2)),flip(a)]. 20729 K(x,T(y,z) / (u * ((y * w) \ y))) = K(x,T(y,z) / (u / w)). [para(14471(a,1),20724(a,1,2,2,2))]. 20730 K(x,((y * z) * (z \ 1)) / (u * (z \ 1))) = K(x,y / (u / z)). [hyper(236,a,15353,a(flip),b,20725,a(flip)),flip(a)]. 20731 K(x,L(y / z,z,u \ 1)) = K(x,(y / u) / (z / u)). [para(16(a,1),20725(a,1,2,1,1))]. 20732 K(x,L(y / z,z,u \ (w \ 1))) = K(x,(y / (w * u)) / (z / (w * u))). [hyper(14944,a,20731,a)]. 20733 K(x,y / (z * T((y * (1 / u)) \ y,w))) != v5 | K(x,y / (z / (1 / T(u,w)))) = v5. [para(9932(a,1),20726(a,1,2,2,2))]. 20734 K(x,y / ((y * L(z,u,z)) / w)) = K(x,((y * w) / z) / y). [hyper(20727,a,13090,a)]. 20735 K(x,y / ((y * L(z,u,z)) / w)) != v5 | K(x,y / ((y * z) / w)) = v5. [para(20734(a,2),20727(a,1))]. 20736 K(x,L(T(((y * z) \ y) \ u,T(y,w)),(y * z) \ y,u \ T(y,w))) = K(x,T(y,w) / ((T(y,w) / u) / z)). [hyper(236,a,17820,a,b,20729,a(flip)),flip(a)]. 20737 K(x,R(y,z,z \ 1) / (u * (z \ 1))) = K(x,y / (u / z)). [para(189(a,1),20730(a,1,2,1))]. 20738 K(x,L(y,z,z \ 1) / (u * (z \ 1))) = K(x,y / (u / z)). [hyper(18645,a,20737,a)]. 20739 K(x,K(y * (z \ 1),L(u,z,z \ 1))) \ K(x,u / (y / z)) = K(x,(y * (z \ 1)) \ L(u,z,z \ 1)). [hyper(72,a,20738,a(flip),b,9379,a)]. 20740 K(x,((y * z) * u) / y) = K(x,y / ((y / u) / z)). [para(353(a,1),20723(a,1,2,1,1))]. 20741 K(x,T(y,z) / ((T(y,z) / u) / z)) = K(x,((y * ((y * z) / y)) * u) / T(y,z)). [para(3875(a,1),20740(a,1,2,1,1)),flip(a)]. 20742 K(x,L(y / z,u \ 1,z \ (u \ 1))) = K(x,(y / (u * z)) / (z / (u * z))). [hyper(14595,a,20732,a)]. 20743 K(x,L(y / z,u \ 1,z \ (u \ 1))) = K(x,(y / (u * z)) / ((z * u) \ z)). [hyper(236,a,20229,a(flip),b,20742,a)]. 20744 K(x,(y / (z * u)) / ((u * z) \ u)) = K(x,(y * (u \ (z \ 1))) / (z \ 1)). [hyper(236,a,15461,a(flip),b,20743,a(flip))]. 20745 K(x,(y / (z * u)) / ((u * z) \ u)) = K(x,(y * (u \ (z \ 1))) * z). [hyper(236,a,14131,a(flip),b,20744,a)]. 20746 K(x,(y / T(z * u,z)) / (z / T(z * u,z))) = K(x,(y * (z \ (u \ 1))) * u). [hyper(236,a,20658,a,b,20745,a(flip)),flip(a)]. 20747 K(x,y / ((z * K(u \ 1,w)) / u)) = K(x,y / (z * T((y * u) \ y,w))). [para(6294(a,1),20728(a,1,2,2,1,2))]. 20748 K(x,y / ((z / u) * K(u \ 1,w))) = K(x,y / (z * T((y * u) \ y,w))). [para(5987(a,1),20747(a,1,2,2))]. 20750 K(x,y / (z * T((y * u) \ y,w))) = K(x,y * ((z / u) \ K(w,u \ 1))). [hyper(19399,a,20748,a),flip(a)]. 20751 K(x,y / (z * T((y * u) \ y,w))) = K(x,y * ((z / u) \ K(u,w))). [hyper(236,a,18337,a(flip),b,20750,a)]. 20752 K(x,y / (z * T((y * u) \ y,w))) = K(x,y / (z / T(u,w))). [hyper(236,a,16795,a(flip),b,20751,a)]. 20753 K(x,T(y,z) / ((T(y,z) / u) / z)) = K(x,(T(y * z,y) * u) / T(y,z)). [hyper(236,a,20338,a(flip),b,20741,a)]. 20754 K(x,(y / T(z * u,z)) / ((z * u) \ z)) = K(x,(y * (z \ (u \ 1))) * u). [hyper(236,a,19545,a(flip),b,20746,a(flip)),flip(a)]. 20755 K(x,(y / (z * u)) / (T(z * u,z) \ z)) = K(x,(y * (z \ (u \ 1))) * u). [hyper(236,a,18488,a(flip),b,20754,a(flip)),flip(a)]. 20756 K(x,(y / (z * u)) / ((u * z) \ z)) = K(x,(y * (z \ (u \ 1))) * u). [hyper(236,a,20218,a(flip),b,20755,a(flip)),flip(a)]. 20757 K(x,y / (z / (1 / T(u,w)))) = K(x,y / (z / T(1 / u,w))). [hyper(20733,a,20752,a)]. 20758 K(x,y / (z / (1 / T(u,w)))) = K(x,y / (z / T(u \ 1,w))). [hyper(236,a,15012,a(flip),b,20757,a)]. 20759 K(x,y / (z / (T(u,w) \ 1))) = K(x,y / (z / T(u \ 1,w))). [hyper(236,a,5752,a(flip),b,20758,a(flip)),flip(a)]. 20760 K(x,y / (R(z,u \ 1,u) / (T(u \ 1,w) \ 1))) = K(x,y / (z * (T(u,w) \ 1))). [para(8600(a,1),20759(a,2,2,2))]. 20761 K(x,y / (z * (T(u,w) \ 1))) = K(x,y / (z * T(u \ 1,w))). [para(10220(a,1),20760(a,1,2,2)),flip(a)]. 20762 K(x,L(T((y \ (z \ y)) * y,u * (T(1 / z,y) \ 1)),T(1 / z,y) \ 1,u)) = K(x,(u * y) / (u * T((1 / z) \ 1,y))). [hyper(236,a,11820,a,b,20761,a(flip)),flip(a)]. 20763 K(x,L(y,z,L(u / (w / v5),u,u \ w) \ 1)) = K(L(x,z,(u * v5) \ w),y). [hyper(236,a,7587,a(flip),b,20704,a)]. 20764 K(x,L(y,z,L(u / (w / v5),u,u \ w) \ 1)) = K(x,L(y,z,(u * v5) \ w)). [hyper(236,a,11533,a(flip),b,20763,a)]. 20765 K(x,L(y,z,L((u / (w / v5)) \ 1,u,u \ w))) = K(x,L(y,z,(u * v5) \ w)). [hyper(14992,a,20764,a)]. 20766 K(x,(y \ (y / (1 / (z \ 1)))) \ ((z \ 1) * u)) = K(x,(z * (y \ (y / z))) \ u). [hyper(236,a,14436,a(flip),b,20707,a)]. 20768 K(x,(y \ (y / (1 / (z \ 1)))) \ ((z \ 1) * u)) = K(x,(y \ (y / z)) \ (z \ u)). [hyper(236,a,15007,a(flip),b,20766,a)]. 20769 K(x,(y \ (y / z)) \ ((z \ 1) * u)) = K(x,(y \ (y / z)) \ (z \ u)). [para(62(a,1),20768(a,1,2,1,2,2))]. 20770 K(x,(y \ (y / ((z \ 1) \ 1))) \ ((z \ 1) * u)) = K(x,((y \ (y / z)) * z) \ u). [hyper(236,a,14436,a(flip),b,20708,a)]. 20772 K(x,(y \ (y / ((z \ 1) \ 1))) \ ((z \ 1) * u)) = K(x,z \ ((y \ (y / z)) \ u)). [hyper(236,a,15008,a(flip),b,20770,a)]. 20773 K(x,(y \ (y / z)) \ ((z \ 1) * u)) = K(x,z \ ((y \ (y / z)) \ u)). [hyper(14388,a,20772,a)]. 20774 K(x,(y \ (y / z)) \ (z \ u)) = K(x,z \ ((y \ (y / z)) \ u)). [hyper(236,a,20769,a(flip),b,20773,a(flip)),flip(a)]. 20775 K(x,(y * (z \ (z / y))) \ u) = K(x,y \ ((z \ (z / y)) \ u)). [hyper(236,a,15007,a,b,20774,a(flip)),flip(a)]. 20776 K(x,(y * (z \ 1)) \ L(u,z,z \ 1)) = K(x,K(y * (z \ 1),u)) \ K(x,u / (y / z)). [para(13193(a,1),20739(a,1,1)),flip(a)]. 20778 K(x,(y * (z \ 1)) \ L(u,z,z \ 1)) = K(x,K(u,z \ y)) \ K(x,u / (y / z)). [para(16098(a,1),20776(a,2,1))]. 20780 K(x,(y * (z \ 1)) \ L(u,z,z \ 1)) = K(x,K(u,z \ y)) * K(x,u / (y / z)). [hyper(236,a,7964,a(flip),b,20778,a)]. 20781 K(x,(y * (z \ 1)) \ L(u,z,z \ 1)) = K(x,(y / z) \ u). [hyper(236,a,16069,a(flip),b,20780,a)]. 20782 K(x,(y * (z \ 1)) \ L(u,z,z \ 1)) != w | K(x,(y / z) \ u) = w. [para(20780(a,2),16097(a,1))]. 20783 K(x,(y * (z \ 1)) \ L(y,z,z \ 1)) = K(x,z). [para(65(a,1),20781(a,2,2))]. 20784 K(x,(y \ 1) \ a(z,y,y \ 1)) = K(x,y). [hyper(236,a,20123,a(flip),b,20783,a(flip)),flip(a)]. 20785 K(x,y * a(z,y,y \ 1)) = K(x,y). [hyper(14234,a,20784,a)]. 20786 T(x,y * a(z,y,y \ 1)) = x * K(x,y). [para(20785(a,1),4887(a,2,2))]. 20787 ((1 / x) \ a(y,x,x \ 1)) * K(x \ 1,x) = a(y,x,x \ 1) / (1 / x). [para(20785(a,1),7106(a,1,2))]. 20788 T(x,y * a(z,y,y \ 1)) = T(x,y). [hyper(236,a,4887,a,b,20786,a)]. 20789 (x * a(y,x,x \ 1)) * T(z,x) != u * w | u \ (z * (x * a(y,x,x \ 1))) = w. [para(20788(a,1),549(a,1,2))]. 20790 x * (T(x,y) \ (y * a(z,y,y \ 1))) = T(y * a(z,y,y \ 1),x). [para(20788(a,1),4107(a,1,2,1))]. 20791 K(x,y) * (x * a(z,x,x \ 1)) = T(x * a(z,x,x \ 1),y). [hyper(5213,a,20790,a)]. 20792 T(x * a(y,x,x \ 1),z) = T(x,z) * a(y,x,x \ 1). [hyper(5216,a,20791,a),flip(a)]. 20793 (1 / x) \ (T(1 / x,x) * a(y,1 / x,(1 / x) \ 1)) = (x \ a(y,1 / x,(1 / x) \ 1)) * x. [hyper(72,a,20792,a(flip),b,935,a)]. 20795 a(x,y,y \ 1) / (y \ 1) = (1 / y) \ a(x,y,y \ 1). [hyper(18,a,6360,a,b,20787,a),flip(a)]. 20796 (a(x,y,y \ 1) * z) \ (z * (y * a(x,y,y \ 1))) = y. [hyper(20789,a,18780,a)]. 20797 L(x,a(y,x,x \ 1),z) = x. [hyper(236,a,13909,a(flip),b,20796,a(flip)),flip(a)]. 20798 (a(x,y,y \ 1) * z) * y = z * (y * a(x,y,y \ 1)). [para(20796(a,1),14(a,1,2))]. 20799 (x * a(y,z,z \ 1)) * z = x * (z * a(y,z,z \ 1)). [para(13894(a,1),20798(a,1,1))]. 20800 (1 / x) \ ((x \ 1) * a(y,1 / x,(1 / x) \ 1)) = (x \ a(y,1 / x,(1 / x) \ 1)) * x. [para(121(a,1),20793(a,1,2,1))]. 20801 (1 / x) \ ((x \ 1) * a(y,1 / x,x)) = (x \ a(y,1 / x,(1 / x) \ 1)) * x. [para(65(a,1),20800(a,1,2,2,3))]. 20802 (1 / x) \ ((x \ 1) * a(y,x \ 1,x)) = (x \ a(y,1 / x,(1 / x) \ 1)) * x. [para(3626(a,1),20801(a,1,2,2))]. 20803 (x \ a(y,1 / x,(1 / x) \ 1)) * x = K(x \ 1,x) * a(y,x \ 1,x). [hyper(5882,a,20802,a),flip(a)]. 20804 K(x \ 1,x) * a(y,x \ 1,x) = (x \ a(y,1 / x,x)) * x. [para(65(a,1),20803(a,1,1,2,3)),flip(a)]. 20805 K(x \ 1,x) * a(y,x \ 1,x) = (x \ a(y,x \ 1,x)) * x. [para(3626(a,1),20804(a,2,1,2))]. 20806 (((x \ K(x,y)) \ a(z,(x \ K(x,y)) \ 1,x \ K(x,y))) * K(x,y)) * (x \ 1) = K((x \ K(x,y)) \ 1,x \ K(x,y)) * a(z,(x \ K(x,y)) \ 1,x \ K(x,y)). [hyper(236,a,9490,a,b,20805,a),flip(a)]. 20807 K(x \ 1,x) * (a(y,x \ 1,x) * z) = ((x \ a(y,x \ 1,x)) * x) * z. [para(20805(a,1),3608(a,1,1)),flip(a)]. 20808 (x * L(x \ 1,x,y * (x \ 1))) \ z = ((x \ a(y,x \ 1,x)) * x) * z. [hyper(236,a,20590,a,b,20807,a(flip)),flip(a)]. 20809 ((x \ a((x \ 1) \ y,x \ 1,x)) * x) * z = (x * L(x \ 1,x,y)) \ z. [para(13511(a,1),20808(a,1,1,2)),flip(a)]. 20810 K(x,L(T(((y * z) \ y) \ u,T(y,w)),(y * z) \ y,u \ y)) = K(x,T(y,w) / ((T(y,w) / u) / z)). [hyper(236,a,19932,a(flip),b,20736,a(flip)),flip(a)]. 20811 K(x,L(T(((y * z) \ y) \ u,y),(y * z) \ y,u \ y)) = K(x,T(y,w) / ((T(y,w) / u) / z)). [hyper(16412,a,20810,a)]. 20813 K(x,T(y,z) / ((T(y,z) / u) / w)) = K(x,y / ((y / u) * ((y * w) \ y))). [hyper(17824,a,20811,a),flip(a)]. 20814 K(x,T(y,z) / ((T(y,z) / u) / w)) = K(x,y / ((y / u) / w)). [hyper(236,a,20724,a(flip),b,20813,a)]. 20816 K(x,(T(y * z,y) * u) / T(y,z)) = K(x,y / ((y / u) / z)). [hyper(236,a,20753,a(flip),b,20814,a(flip)),flip(a)]. 20818 K(x,((y * z) * u) / T(z,y)) = K(x,z / ((z / u) / y)). [hyper(236,a,20341,a(flip),b,20816,a(flip)),flip(a)]. 20819 K(x,y / ((y / (z / (u * y))) / u)) = K(x,T(z,u * y) / T(y,u)). [hyper(18509,a,20818,a),flip(a)]. 20820 K(x,(1 / y) / (((1 / y) / (z / (u * (1 / y)))) / u)) = K(x,((u / y) * (z / (u / y))) / T(1 / y,u)). [para(19898(a,1),20818(a,1,2,1)),flip(a)]. 20822 K(x,(1 / y) / (((1 / y) / (z / (u * (1 / y)))) / u)) = K(x,((u / y) * (z / (u / y))) * T(y,u)). [hyper(236,a,19437,a(flip),b,20820,a)]. 20823 K(x,(1 / y) / (((1 / y) / (z / (u * (1 / y)))) / u)) = K(x,T(z,u / y) * T(y,u)). [hyper(236,a,18505,a(flip),b,20822,a)]. 20824 x * a(y,z * ((z \ u) * w),K((z * ((z \ u) * w)) \ u,u \ x)) = u * L(u \ x,x,K(w,L(y,z \ u,z))). [para(11533(a,1),18374(a,2,2,3))]. 20825 K(x,(y * a(z,u,u \ 1)) / w) = K(x,a(z,u,u \ 1) / (w / y)). [hyper(20107,a,18420,a),flip(a)]. 20827 K(x,(y * a(z,u,u \ 1)) / w) = K(x,(w / y) \ a(z,u,u \ 1)). [hyper(236,a,17713,a(flip),b,20825,a)]. 20828 K(x,(a(y,z,z \ 1) * u) / w) = K(x,(w / u) \ a(y,z,z \ 1)). [hyper(18108,a,20827,a)]. 20829 K((x \ (y \ L(y,z,z \ 1))) \ a(y,z,z \ 1),u) = K(x,L(u,y \ L(y,z,z \ 1),w)). [hyper(19793,a,20114,a),flip(a)]. 20830 K((x \ L(x,y,y \ 1)) \ (z * a(x,y,y \ 1)),u) = K(z,L(u,x \ L(x,y,y \ 1),w)). [hyper(236,a,20105,a(flip),b,20829,a(flip)),flip(a)]. 20831 K(a(x \ 1,x,y) * (z * a(y,x,x \ 1)),u) = K(z,L(u,y \ L(y,x,x \ 1),w)). [para(19792(a,1),20830(a,1,1))]. 20832 K(a(x \ 1,x,y) * (z * a(y,x,x \ 1)),u) != w | K(z,u) = w. [para(20831(a,2),8342(a,1))]. 20833 K(x,L(y,z \ L(z,u,u \ 1),w)) = K(x,y). [hyper(20832,a,20831,a),flip(a)]. 20834 K(x,L(y,z \ L(z,u,u \ 1),w)) != v5 | K(x,y) = v5. [para(20831(a,1),20832(a,1))]. 20836 K(x,L(y,a(z \ 1,z,u) \ 1,w)) = K(x,y). [hyper(20342,a,20833,a)]. 20837 K(x,(y \ z) \ (a(u \ 1,u,w) \ 1)) = K(x,z \ (a(u \ 1,u,w) \ y)). [hyper(236,a,19787,a(flip),b,20836,a(flip))]. 20839 (K(x,y) * z) * R((K(x,y) * z) \ u,z,T(K(x,y),z)) = ((u / z) * (K(y,x) * z)) * (z \ (K(x,y) * z)). [para(32(a,2),20027(a,1,2,3))]. 20840 (K(x,y) * z) * R((K(x,y) * z) \ u,z,K(x,T(y,z))) = ((u / z) * (K(y,x) * z)) * (z \ (K(x,y) * z)). [para(7256(a,2),20839(a,1,2,3))]. 20841 ((x / y) * (K(z,u) * y)) * (y \ (K(u,z) * y)) = K(u,z) * (y * ((K(u,z) * y) \ x)). [hyper(15597,a,20840,a),flip(a)]. 20842 ((x / y) * (K(z,u) * y)) * T(K(u,z),y) = K(u,z) * (y * ((K(u,z) * y) \ x)). [hyper(236,a,116,a(flip),b,20841,a(flip)),flip(a)]. 20843 ((x / y) * (K(z,u) * y)) * K(u,T(z,y)) = K(u,z) * (y * ((K(u,z) * y) \ x)). [hyper(8559,a,20842,a)]. 20844 ((x / y) * (y * K(z,u))) * K(u,z) = K(u,z) * (y * ((K(u,z) * y) \ x)). [hyper(236,a,10380,a(flip),b,20843,a(flip)),flip(a)]. 20845 K(x,y) * (z * ((K(x,y) * z) \ u)) = z * L(z \ u,z,K(x,y)). [hyper(236,a,20354,a(flip),b,20844,a(flip))]. 20846 x \ L(x * y,x \ 1,K(z,u)) = K(z,u) * ((x \ 1) * ((K(z,u) * (x \ 1)) \ y)). [hyper(236,a,962,a(flip),b,20845,a),flip(a)]. 20847 x \ L(x * y,x \ 1,K(z,u)) = K(z,u) * ((1 / x) * ((K(z,u) / x) \ y)). [para(16900(a,1),20846(a,2,2))]. 20848 x * a(y,z * ((z \ u) * w),K((z * ((z \ u) * w)) \ u,u \ x)) = u * L(u \ x,x,K(w,L(y,u,z))). [para(14565(a,1),20824(a,2,2,3))]. 20849 x * a(y,z * ((z \ u) * w),K(w \ 1,L(u \ x,u,z))) = u * L(u \ x,x,K(w,L(y,u,z))). [para(14566(a,1),20848(a,1,2,3))]. 20850 x * a(y,z * ((z \ u) * y),K(w,L(u \ x,u,z))) = u * L(u \ x,x,K(y,L(w,u,z))). [para(14010(a,1),20849(a,1,2))]. 20851 (x * L(y,z,K(u,w))) \ (x * (a(w,z,K(y,u)) * (y * v5))) = L(v5,L(y,x,a(w,z,K(y,u))),a(w,z,K(y,u)) * x). [para(18774(a,1),17882(a,1,2))]. 20852 (x * K(y,z)) * T(T(K(y,z) * x,K(y,z)) \ T(u,K(y,z)),x) = ((K(y,z) * x) \ u) * (x * K(y,z)). [para(7222(a,1),18201(a,1,1))]. 20853 (x * K(y,z)) * T((x * K(y,z)) \ T(u,K(y,z)),x) = ((K(y,z) * x) \ u) * (x * K(y,z)). [para(7222(a,1),20852(a,1,2,1,1))]. 20854 T((x * K(y,z)) * T((x * K(y,z)) \ u,x),K(y,z)) = ((K(y,z) * x) \ u) * (x * K(y,z)). [hyper(236,a,17200,a,b,20853,a(flip)),flip(a)]. 20855 T(x * (K(y,z) * T(K(y,z) \ (x \ u),x)),K(y,z)) = ((K(y,z) * x) \ u) * (x * K(y,z)). [para(857(a,1),20854(a,1,1))]. 20856 T(x * (K(y,z) * T(K(z,y) * (x \ u),x)),K(y,z)) = ((K(y,z) * x) \ u) * (x * K(y,z)). [para(5260(a,1),20855(a,1,1,2,2,1))]. 20857 T(T(T(x \ y,K(z,u)) * x,K(z,u)),K(z,u)) = ((K(z,u) * x) \ y) * (x * K(z,u)). [para(20377(a,1),20856(a,1,1))]. 20858 ((K(x,y) * z) \ u) * (z * K(x,y)) = T(z \ u,K(x,y)) * z. [hyper(7992,a,20857,a)]. 20859 ((x \ (K(y,z) * u)) * x) * K(z,y) = T(x \ u,K(z,y)) * x. [hyper(15622,a,20858,a)]. 20861 K(x,y * (((K(z,u) * w) * ((K(z,K(u,w)) * v5) / (K(z,u) * w))) \ v6)) = K(x,y * ((w \ T(v5 * w,K(z,u))) \ v6)). [para(7923(a,2),18235(a,1,2,2,1,2,1,1))]. 20862 K(x,T(y \ z,((1 / u) \ y) \ z)) = K(x,T(z,(1 / u) \ y) / (((u \ 1) \ y) * (u \ 1))). [para(14(a,1),19691(a,1,2,1,1))]. 20864 K(x,T(y \ z,((u \ 1) \ y) \ z)) = K(x,T(z,(1 / u) \ y) / (((u \ 1) \ y) * (u \ 1))). [para(4612(a,1),20862(a,1,2))]. 20865 K(x,T(y \ z,y \ (z * (u \ 1)))) = K(x,T(z,(1 / u) \ y) / (((u \ 1) \ y) * (u \ 1))). [hyper(18033,a,20864,a)]. 20866 K(x,T(y,(1 / z) \ u) / (((z \ 1) \ u) * (z \ 1))) = K(x,T(u \ y,z \ 1)). [hyper(10789,a,20865,a),flip(a)]. 20867 K(x,T(y,(1 / z) \ u) / (((z \ 1) \ u) * (z \ 1))) = K(x,T(u \ y,z)). [hyper(236,a,9343,a(flip),b,20866,a)]. 20868 K(x,T(y,z * u) / (((z \ 1) \ u) * (z \ 1))) = K(x,T(u \ y,z)). [para(14237(a,1),20867(a,1,2,1))]. 20869 K(x,T(y,z * u) / T(u,z \ 1)) = K(x,T(u \ y,z)). [hyper(236,a,19627,a(flip),b,20868,a(flip)),flip(a)]. 20870 K(x,K(y,z * T(u,w))) \ K(x,(T(z,u) \ T(u,w)) * y) = K(x,y * (T(u,w) / z)). [hyper(236,a,16155,a(flip),b,20474,a)]. 20872 K(x,K(y,z * u)) \ K(x,(T(z,u) \ T(u,w)) * y) = K(x,y * (T(u,w) / z)). [para(17025(a,1),20870(a,1,1))]. 20874 K(x,K(y,z * u)) \ K(x,(T(u,w) / z) * y) = K(x,y * (T(u,w) / z)). [para(20472(a,1),20872(a,1,2))]. 20875 K(x,K(y,z * u)) * K(x,(T(u,w) / z) * y) = K(x,y * (T(u,w) / z)). [hyper(7969,a,20874,a)]. 20876 L(x,L(y,z,a(u,w,K(y,v5))),a(u,w,K(y,v5)) * z) = (z * L(y,w,K(v5,u))) \ (z * (L(y,w,K(v5,u)) * x)). [para(14700(a,1),20851(a,1,2,2)),flip(a)]. 20877 L(x,L(y,z,a(u,w,K(y,v5))),a(u,w,K(y,v5)) * z) = L(x,L(y,w,K(v5,u)),z). [hyper(236,a,28,a,b,20876,a)]. 20878 L(x,y,a(z,u,K(y,w)) * v5) = L(x,L(y,u,K(w,z)),v5). [para(13683(a,1),20877(a,1,2))]. 20879 K(x,y * (((K(z,u) * w) * (K(z,K(u,w)) * (v5 / (K(z,u) * w)))) \ v6)) = K(x,y * ((w \ T(v5 * w,K(z,u))) \ v6)). [para(17669(a,1),20861(a,1,2,2,1,2))]. 20880 K(x,y * (((K(z,u) * w) * (v5 / (K(z,T(u,w)) * w))) \ v6)) = K(x,y * ((w \ T(v5 * w,K(z,u))) \ v6)). [para(18681(a,1),20879(a,1,2,2,1,2))]. 20881 K(x,y * (((K(z,u) * w) * (v5 / (w * K(z,u)))) \ v6)) = K(x,y * ((w \ T(v5 * w,K(z,u))) \ v6)). [para(8047(a,1),20880(a,1,2,2,1,2,2))]. 20882 K(x,y * ((z \ T(u * z,K(w,v5))) \ v6)) = K(x,y * ((z * T(u / z,K(w,v5))) \ v6)). [para(18695(a,1),20881(a,1,2,2,1)),flip(a)]. 20883 K(x,y * ((z \ T(u * z,K(w,v5))) \ v6)) = K(x,y * ((z * (u / z)) \ v6)). [hyper(236,a,18697,a(flip),b,20882,a)]. 20885 K(x,y * ((z \ T(u * z,K(w,v5))) \ v6)) = K(x,y * (T(u,z) \ v6)). [hyper(236,a,18228,a(flip),b,20883,a)]. 20886 K(x,a(y,z,K(u,w)) / (v5 / (v6 * u))) = K(x,(v6 * L(u,z,K(w,y))) / v5). [hyper(20107,a,18422,a)]. 20887 K(x,(y / (z * u)) \ a(w,v5,K(u,v6))) = K(x,(z * L(u,v5,K(v6,w))) / y). [hyper(17716,a,20886,a)]. 20889 K(x,(y * L(z,u,K(w,v5))) / v6) = K(x,(v6 / (y * z)) \ 1). [hyper(18096,a,20887,a),flip(a)]. 20890 K(x,(y * L(z,u,K(w,v5))) / v6) = K(x,(y * z) / v6). [hyper(236,a,5795,a(flip),b,20889,a)]. 20891 K(x,y / (z / L(u,w,K(v5,v6)))) = a(x,y,K(u,y \ z)) * K(x,(y * u) / z). [para(20890(a,1),20623(a,1,2)),flip(a)]. 20892 K(x,y / (z / L(u,w,K(v5,v6)))) = K(x,y / (z / u)). [hyper(236,a,20618,a(flip),b,20891,a)]. 20894 L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = w \ (w * (u * (z \ T(z * (u \ 1),K(x,y))))). [para(103(a,1),18745(a,2,2))]. 20895 L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = w \ (w * K((u * (z \ 1)) \ 1,K(x,y))). [para(6047(a,1),20894(a,2,2,2))]. 20896 L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = w \ (w * K(x,K(y,u * (z \ 1)))). [para(9254(a,1),20895(a,2,2,2))]. 20897 L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = w \ (w * K(x,K(y,z \ u))). [para(16079(a,1),20896(a,2,2,2))]. 20898 L(K(x,K(y,z * L(u \ 1,u,w))),(w * u) \ w,w * u) = K(x,K(y,z \ u)). [hyper(236,a,13,a(flip),b,20897,a)]. 20899 K(x,K(y,z * L(u \ 1,u,w))) = K(x,K(y,z \ u)). [hyper(17776,a,20898,a)]. 20901 K(x,K(y,z * (u \ (u / w)))) = K(x,K(y,z \ w)). [para(350(a,1),20899(a,1,2,2,2))]. 20902 K(x,K(y,(z \ (z / u)) * w)) = K(x,K(y,w \ u)). [hyper(16073,a,20901,a)]. 20903 K(x,K(y,z \ (u \ w))) = K(x,K(y,(w \ u) * z)). [para(62(a,1),20902(a,1,2,2,1,2)),flip(a)]. 20904 K(x,K(y,(z \ T(u,w)) * v5)) = K(x,K(y,u \ (v5 \ z))). [hyper(18277,a,20903,a),flip(a)]. 20905 K(x,K(y \ z,(z \ y) * u)) = K(x,K(u,y \ z)). [hyper(9243,a,20903,a),flip(a)]. 20906 T(x,K((y \ z) * u,T(z \ y,w))) = K(x,K(u,z \ y)) * x. [para(20905(a,1),16043(a,2,1))]. 20907 K(x,K(y,z \ (u \ w))) = K(x,K(y,u * (w \ z))). [hyper(17152,a,20904,a),flip(a)]. 20908 x * K(y,K(x,z * (u \ w))) = T(x,K(y,w \ (z \ u))). [para(20907(a,1),7924(a,1,2))]. 20910 T(x,K(y,z \ (u \ w))) != v5 | T(x,K(y,u * (w \ z))) = v5. [para(20908(a,1),7926(a,1))]. 20911 T(x,K(y,z \ (u * (w * v5)))) = T(x,K(y,(u * w) * (z \ v5))). [hyper(20910,a,20261,a),flip(a)]. 20912 T(x,K(y,z \ (u * w))) = T(x,K(y,u * (z \ w))). [hyper(20910,a,18138,a),flip(a)]. 20913 T(x,K(y,(z \ u) \ w)) = T(x,K(y,z * (u \ w))). [hyper(20910,a,9297,a),flip(a)]. 20914 T(x,K(y,z \ (u * w))) != v5 | T(x,K(y,u * (z \ w))) = v5. [para(18138(a,1),20910(a,1))]. 20915 T(x,K(y,(z * u) * w)) = T(x,K(y,z * (w \ u))). [hyper(16586,a,20912,a)]. 20916 x \ T(y * T(x,K(z,u * (w \ v5))),K(z,(u \ w) \ v5)) = T(y,K((u \ w) \ v5,z) * x). [para(20913(a,1),15654(a,1,2,1,2))]. 20917 T(x,K(y,z * (u \ w))) != v5 | T(x,K(y,z * (w * u))) = v5. [para(20915(a,1),20059(a,1))]. 20918 T(x,K(y,z * (u / w))) = T(x,K(y,z * (u * w))). [hyper(20917,a,17001,a(flip)),flip(a)]. 20919 x \ T(y * T(x,K(z,u * (w * v5))),K(z,u * (w / v5))) = T(y,K(u * (w / v5),z) * x). [para(20918(a,1),15654(a,1,2,1,2))]. 20920 T(x,K((y \ z) * u,T(z \ y,w))) = T(x,K(u,z \ y)). [hyper(236,a,4897,a,b,20906,a)]. 20921 x \ T(y * T(x,K(z,u \ w)),K(T(w \ u,v5) * z,T(u \ w,v6))) = T(y,K(T(u \ w,v6),T(w \ u,v5) * z) * x). [para(20920(a,1),17009(a,1,2,1,2))]. 20922 T(x,K(y,z \ (u * (w * v5)))) = T(x,K(y,u * (w * (z \ v5)))). [hyper(236,a,20053,a(flip),b,20911,a)]. 20923 T(x,K(y,z * (u \ (w * v5)))) = T(x,K(y,z * (w * (u \ v5)))). [hyper(20914,a,20922,a)]. 20924 T(x,K(y,z * ((u * w) * v5))) = T(x,K(y,z * (u * (v5 \ w)))). [hyper(20917,a,20923,a)]. 20925 T(x,K(y,z * (u * (w \ v5)))) != v6 | T(x,K(y,z * (u * (v5 * w)))) = v6. [para(20924(a,1),20172(a,1))]. 20926 x \ T(y * T(x,K(z,u * (w \ v5))),K(z,u * (w \ v5))) = T(y,K((u \ w) \ v5,z) * x). [para(20913(a,1),20916(a,1,2))]. 20927 x \ T(y * T(x,K(z,u * (w * v5))),K(z,u * (w * v5))) = T(y,K(u * (w / v5),z) * x). [para(20918(a,1),20919(a,1,2))]. 20928 T(x,K((y \ z) \ u,w) * v5) = T(x,K(y * (z \ u),w) * v5). [hyper(15801,a,20926,a),flip(a)]. 20929 T(x,K(y \ (z * u),w) * v5) = T(x,K(z * (y \ u),w) * v5). [hyper(18806,a,20928,a)]. 20930 T(x,K(y * (z \ u),u) * w) != v5 | T(x,K(z \ y,u) * w) = v5. [para(20929(a,1),13182(a,1))]. 20931 T(x,K(y * (z / u),w) * v5) = T(x,K(y * (z * u),w) * v5). [hyper(15801,a,20927,a),flip(a)]. 20932 T(x,K(y * (z \ u),w) * v5) = T(x,K(y * (u * z),w) * v5). [hyper(236,a,17250,a(flip),b,20931,a(flip)),flip(a)]. 20933 T(x,K(y * (z * u),z) * w) = T(x,K(u \ y,z) * w). [hyper(20930,a,20932,a),flip(a)]. 20934 K(x,K(y * (z \ u),w) * (K(v5,K(v6,v7)) / (v8 \ 1))) = T(x,T(v9,v8)) \ T(T(x,K(y * (u * z),w) * v8),v9). [para(20932(a,1),17157(a,2,2,1))]. 20935 T(x,K(y \ z,u) * w) = T(x,K(z * y,u) * w). [hyper(236,a,13144,a(flip),b,20933,a(flip))]. 20936 T(x,K(y \ z,u) * w) = T(x,K(y * z,u) * w). [hyper(236,a,16694,a,b,20935,a)]. 20937 T(x,K(y * z,T(u,w)) * v5) = T(x,K(u,y \ z) * v5). [hyper(16695,a,20936,a),flip(a)]. 20938 T(x,K(y * z,u) * (u / w)) = T(x,T(u,y \ z) / w). [hyper(236,a,15673,a(flip),b,20936,a(flip))]. 20939 T(x,K(y \ z,u) * w) != v5 | T(x,K(z * y,u) * w) = v5. [para(20936(a,2),16748(a,1))]. 20940 T(x,K(y,z \ u) * w) = T(x,K(y,z * u) * w). [hyper(16695,a,20937,a),flip(a)]. 20941 T(x,K(y,z * u) * (w * (z \ T(u,y)))) != v5 | T(x,w * T(z \ T(u,y),y)) = v5. [para(20940(a,1),16430(a,1))]. 20942 T(x,T(y,z \ u) / w) = T(x,T(y,z * u) / w). [hyper(236,a,15673,a(flip),b,20938,a(flip))]. 20943 T(x,T(y,z * u) / (u \ z)) = T(x,(u \ z) \ y). [hyper(14635,a,20942,a),flip(a)]. 20944 T(x,T(y,z \ T(u,w)) / ((z \ u) \ K(u,w))) = T(x,((z \ u) \ K(u,w)) \ y). [para(16261(a,1),20943(a,1,2,1))]. 20946 T(x,K(y,z) * (T(u,w \ T(z,y)) * (w \ z))) = T(x,((w \ z) \ K(z,y)) \ u). [hyper(18287,a,20944,a)]. 20947 T(x,T(y,z \ T(u,w)) * (z \ T(u,w))) = T(x,((z \ u) \ K(u,w)) \ y). [hyper(236,a,18208,a(flip),b,20946,a(flip)),flip(a)]. 20948 T(x,((y \ z) \ K(z,u)) \ w) = T(x,(y \ T(z,u)) * w). [hyper(13115,a,20947,a),flip(a)]. 20949 T(x,K(y,z) * ((u \ z) * w)) = T(x,(u \ T(z,y)) * w). [hyper(18280,a,20948,a)]. 20950 T(x,K(y,z) * ((u \ (z * y)) * w)) = T(x,(u \ T(z * y,y)) * w). [hyper(15802,a,20949,a)]. 20951 T(x,K(y,z) * ((u \ (y * z)) * w)) = T(x,(u \ T(y * z,z)) * w). [hyper(15672,a,20949,a)]. 20952 T(x,(y \ T(z * u,u)) * w) = T(x,(y \ (u * z)) * w). [hyper(236,a,18284,a(flip),b,20950,a(flip))]. 20953 T(x,(y \ T(z * u,u)) * w) = T(x,(y \ (T(z,u) * u)) * w). [hyper(236,a,18285,a(flip),b,20951,a(flip))]. 20954 T(T(x,K(y,z * (u * w))),(z \ T(w * u,u)) * y) = T(x,y * (z \ (T(w,u) * u))). [hyper(18549,a,20953,a(flip)),flip(a)]. 20955 T(T(x,K(y,z * (u * w))),(z \ (u * w)) * y) = T(x,y * (z \ (T(w,u) * u))). [hyper(236,a,20952,a(flip),b,20954,a(flip)),flip(a)]. 20956 T(x,y * (z \ (T(u,w) * w))) = T(x,y * (z \ (w * u))). [hyper(16585,a,20955,a),flip(a)]. 20957 T(x,y * ((a(z,u,w) * v5) \ (v5 * v6))) = T(x,y * T(a(z,u,w) \ T(v6,v5),v5)). [para(18769(a,1),20956(a,1,2,2)),flip(a)]. 20958 T(x,y * T(a(z,u,w) \ T(v5 \ v6,v5),v5)) = T(x,y * ((a(z,u,w) * v5) \ v6)). [para(14(a,1),20957(a,1,2,2,2)),flip(a)]. 20959 K(x,K(y * (z \ u),w) * (K(v5,K(v6,v7)) / (v8 \ 1))) = K(x,K(y * (u * z),w) * v8). [hyper(236,a,16988,a(flip),b,20934,a)]. 20960 K(x,K(y * (z \ u),w) * v5) = K(x,K(y * (u * z),w) * v5). [hyper(16764,a,20959,a)]. 20961 L(a(L(x,x \ y,z),u,u \ 1),L(x,y / x,z),z * (y / x)) = (z * ((y / x) * x)) \ (z * (a(x,u,u \ 1) * y)). [para(10736(a,1),18842(a,1,1,1))]. 20962 x \ T(y * T(x,K(z,a(u,w,v5) \ (v6 \ v7))),K(v7 / (a(u,w,v5) * v6),z)) = T(y,K(z,a(u,w,v5) \ (v7 / v6)) * x). [para(17002(a,1),20122(a,1,2,1,2))]. 20963 L(a(L(x,x \ y,z),u,u \ 1),L(x,x \ y,z),z * (y / x)) = (z * ((y / x) * x)) \ (z * (a(x,u,u \ 1) * y)). [para(10736(a,1),20961(a,1,2))]. 20964 x \ T(y * T(x,K(z,u \ w)),K(w / (a(v5,v6,v7) * u),z)) = T(y,K(z,a(v5,v6,v7) \ (w / u)) * x). [para(20050(a,1),20962(a,1,2,1,2))]. 20966 x \ T(y * T(x,K(z,u \ w)),K(a(v5,v6,v7) \ (w / u),z)) = T(y,K(z,a(v5,v6,v7) \ (w / u)) * x). [para(20120(a,1),20964(a,1,2,2))]. 20967 x \ T(y * T(x,K(z,u \ w)),K(z,a(v5,v6,v7) \ (w / u))) = T(y,K(z,a(v5,v6,v7) \ (w / u)) * x). [para(7981(a,1),20966(a,1,2))]. 20968 x \ T(y * T(x,K(z,u \ w)),K(z,a(v5,v6,v7) \ (u \ w))) = T(y,K(z,a(v5,v6,v7) \ (w / u)) * x). [para(17002(a,1),20967(a,1,2))]. 20969 T(x,K(y,a(z,u,w) \ (v5 / v6)) * v7) = v7 \ T(x * T(v7,K(y,v6 \ v5)),K(y,v6 \ v5)). [para(20050(a,1),20968(a,1,2)),flip(a)]. 20970 T(x,K(y,a(z,u,w) \ (v5 / v6)) * v7) = T(x,K(v6 \ v5,y) * v7). [hyper(236,a,15654,a(flip),b,20969,a)]. 20972 T(x,K(y,a(z,u,w) \ (v5 / v6)) * v7) != v8 | T(x,K(v5 * v6,y) * v7) = v8. [para(20970(a,2),20939(a,1))]. 20973 (x * ((y / z) * z)) \ (x * (a(z,u,u \ 1) * y)) = a(L(z,z \ y,x),u,u \ 1). [hyper(236,a,18853,a(flip),b,20963,a(flip))]. 20975 a(L(x,x \ y,z),u,u \ 1) = (z * y) \ (z * (a(x,u,u \ 1) * y)). [para(16(a,1),20973(a,1,1,2)),flip(a)]. 20976 L(T(a(x,y,y \ 1),z),z,u) = a(L(x,x \ z,u),y,y \ 1). [hyper(236,a,178,a(flip),b,20975,a),flip(a)]. 20977 a(L(x,x \ y,z),u,u \ 1) = L(a(x,u,u \ 1),y,z). [para(13885(a,1),20976(a,1,1)),flip(a)]. 20978 a((x * (y \ z)) \ (x * z),u,u \ 1) = L(a(y,u,u \ 1),z,x). [hyper(236,a,15572,a(flip),b,20977,a(flip)),flip(a)]. 20980 a((x * ((x \ (y \ z)) * x)) \ (((y \ z) / ((y \ z) / x)) * z),u,u \ 1) = L(a(y,u,u \ 1),z,(y \ z) / ((y \ z) / x)). [para(4295(a,1),20978(a,1,1,1))]. 20981 K(x,T(y,a(z \ 1,z,u) \ w) \ (a(z \ 1,z,u) \ w)) = K(x,T((a(z \ 1,z,u) * y) \ w,a(z \ 1,z,u) \ w)). [hyper(236,a,18972,a(flip),b,17804,a(flip)),flip(a)]. 20982 K(x,K(y,K(z,u) * w) * (v5 * ((K(w,K(z,u)) * y) \ v6))) = K(x,v5 * ((w \ T(y * w,K(z,u))) \ v6)). [para(16650(a,1),18213(a,1,2,1))]. 20984 K(x,K(y,K(z,u) * w) * (v5 * (K(w,K(z,u)) * (y \ v6)))) = K(x,v5 * ((w \ T(y * w,K(z,u))) \ v6)). [para(17945(a,1),20982(a,1,2,2,2))]. 20985 K(x,K(y,K(z,u) * w) * (v5 * (y \ v6))) = K(x,v5 * ((w \ T(y * w,K(z,u))) \ v6)). [hyper(17894,a,20984,a)]. 20986 K(x,y * ((z \ T(u * z,K(w,v5))) \ v6)) = K(x,y * (T(u,K(w,v5) * z) \ v6)). [hyper(236,a,18179,a(flip),b,20985,a(flip))]. 20987 K(x,y * (T(z,K(u,w) * v5) \ v6)) = K(x,y * (T(z,v5) \ v6)). [hyper(236,a,20885,a(flip),b,20986,a(flip))]. 20989 K(x,y * (T(z,K(u,w) * v5) \ 1)) = K(x,y / T(z,v5)). [hyper(236,a,14060,a(flip),b,20987,a)]. 20990 K(x,y / T(z,K(u,w) * v5)) = K(x,y / T(z,v5)). [hyper(14282,a,20989,a)]. 20991 K(x,y / T(z,u * (K(w,v5) * v6))) = K(x,y / T(z,u * v6)). [para(10563(a,1),20990(a,1,2,2,2)),flip(a)]. 20992 K(x,y / T(z,u * (T(w,v5) * v6))) = K(x,y / T(z,u * (w * v6))). [para(4860(a,1),20991(a,1,2,2,2,2)),flip(a)]. 20993 K(x,y / T(z,u * (w / v5))) = K(x,y / T(z,u * (v5 \ w))). [para(4927(a,1),20991(a,1,2,2,2,2))]. 20994 (((x \ y) * x) * (((x \ y) \ ((x \ y) * x)) \ 1)) \ (x \ y) = (z * ((y / x) \ (y * (x \ 1)))) \ z. [para(13(a,1),19043(a,2,1,2,2,2,1))]. 20995 (((x \ y) * x) * (((x \ y) \ ((x \ y) * x)) \ 1)) \ (x \ y) = (y * (x \ 1)) \ (y / x). [hyper(236,a,293,a(flip),b,20994,a)]. 20996 (((x \ y) * x) * (x \ 1)) \ (x \ y) = (y * (x \ 1)) \ (y / x). [para(13(a,1),20995(a,1,1,2,1))]. 20997 T(x * (y \ 1),y) \ (y \ x) = (x * (y \ 1)) \ (x / y). [para(747(a,1),20996(a,1,1))]. 20998 (x * (((y \ x) \ x) \ 1)) \ (y \ x) = (x * (y \ 1)) \ (x / y). [hyper(236,a,6958,a(flip),b,20997,a(flip)),flip(a)]. 20999 (x * (((y \ x) \ x) \ 1)) \ (y \ x) = y \ ((x * (y \ 1)) \ x). [hyper(236,a,19052,a(flip),b,20998,a)]. 21000 K(x,((T(y,z \ y) / z) * u) * (u \ ((T(y,z \ y) / z) \ y))) = K(x,((z * K(z \ y,y)) / u) * (u * (y / z))). [para(14433(a,1),19676(a,2,2,1,1))]. 21001 K(x,((T(y,z \ y) / z) * u) * (u \ ((T(y,z \ y) / z) \ y))) = K(x,(K(z \ y,y) * (z / u)) * (u * (y / z))). [para(14893(a,1),21000(a,2,2,1))]. 21002 K(x,((T(y,z \ y) / z) * u) * (u \ ((T(y,z \ y) / z) \ y))) = K(x,(z / u) * ((u * (y / z)) * K(z \ y,y))). [hyper(236,a,18384,a(flip),b,21001,a)]. 21003 K(x,((T(y,z \ y) / z) * u) * (u \ ((T(y,z \ y) / z) \ y))) = K(x,(z / u) * (u * T(y / z,T(y,z)))). [para(7375(a,1),21002(a,2,2,2))]. 21004 K(x,((T(y,z \ y) / z) * u) * (u \ ((T(y,z \ y) / z) \ y))) = K(x,(z / u) * (u * T(y / z,y))). [para(7174(a,1),21003(a,2,2,2,2))]. 21005 K(x,((T(y,z \ y) / z) * u) * (u \ ((T(y,z \ y) / z) \ y))) = K(x,(z / u) * (u * (z \ y))). [hyper(236,a,13154,a(flip),b,21004,a)]. 21006 K(x,((T(y,z \ y) / z) * u) * (u \ (z * K(z \ y,y)))) = K(x,(z / u) * (u * (z \ y))). [para(14433(a,1),21005(a,1,2,2,2))]. 21007 K(x,((T(y,z \ y) / z) * u) * ((u \ z) * K(z \ y,y))) = K(x,(z / u) * (u * (z \ y))). [hyper(236,a,18814,a(flip),b,21006,a(flip)),flip(a)]. 21008 K((a(x,y,y \ 1) * (z \ 1)) \ K(y \ 1,y),u) = K(z * (y \ L(y,y \ 1,x * y)),u). [hyper(236,a,15625,a(flip),b,20175,a(flip))]. 21010 K(x * (y \ L(y,y \ 1,z * y)),u) = K(a(z,y,y \ 1) \ x,u). [hyper(236,a,14937,a(flip),b,21008,a(flip))]. 21012 K(a(x,y,y \ 1) \ z,y) = K(z,y). [hyper(236,a,11458,a(flip),b,21010,a(flip))]. 21013 K(a(x,y,y \ 1) * z,y) = K(z,y). [hyper(8409,a,21012,a),flip(a)]. 21014 K(x,a(y,x,x \ 1) * z) = u / (K(z,x) * u). [para(21013(a,1),5266(a,1,2,1)),flip(a)]. 21015 K(x,a(y,x,x \ 1) * z) = K(x,z). [hyper(236,a,17975,a(flip),b,21014,a)]. 21016 K(x,y * a(z,x,x \ 1)) = K(x,y). [hyper(17723,a,21015,a)]. 21017 L(x,a(y,x,x \ 1),z) * (z * a(y,x,x \ 1)) = K(x,z) * (z * (a(y,x,x \ 1) * x)). [para(21016(a,1),14206(a,1,1)),flip(a)]. 21018 L(x,a(y,x,x \ 1),z) * (z * a(y,x,x \ 1)) = K(x,z) * (z * (x * a(y,x,x \ 1))). [para(13894(a,1),21017(a,2,2,2))]. 21019 L(x,a(y,x,x \ 1),z) * (z * a(y,x,x \ 1)) = z * (K(x,z) * (x * a(y,x,x \ 1))). [hyper(236,a,5363,a(flip),b,21018,a)]. 21020 L(x,a(y,x,x \ 1),z) * (z * a(y,x,x \ 1)) = z * T(x * a(y,x,x \ 1),z). [para(20791(a,1),21019(a,2,2))]. 21021 L(x,a(y,x,x \ 1),z) * (z * a(y,x,x \ 1)) = (x * a(y,x,x \ 1)) * z. [hyper(236,a,119,a(flip),b,21020,a)]. 21022 (x * a(y,x,x \ 1)) * z = x * (z * a(y,x,x \ 1)). [para(20797(a,1),21021(a,1,1)),flip(a)]. 21023 (x * a(y,x,x \ 1)) \ (z * K(x \ (a(y,x,x \ 1) \ z),a(y,x,x \ 1))) = a(y,x,x \ 1) \ (x \ z). [hyper(72,a,8380,a,b,21022,a)]. 21024 (x * a(y,x,x \ 1)) \ (z * 1) = a(y,x,x \ 1) \ (x \ z). [para(13892(a,1),21023(a,1,2,2))]. 21025 (x * a(y,x,x \ 1)) \ z = a(y,x,x \ 1) \ (x \ z). [para(12(a,1),21024(a,1,2))]. 21027 x * (a(y,T(z,x),T(z,x) \ 1) \ T(z,x)) = z * (a(y,z,z \ 1) \ (z \ (z * x))). [para(21025(a,1),19070(a,2,2))]. 21028 x * (a(y,T(z,x),T(z,x) \ 1) \ T(z,x)) = z * (a(y,z,z \ 1) \ x). [para(13(a,1),21027(a,2,2,2))]. 21029 x * (a(y,z,z \ 1) \ T(z,x)) = z * (a(y,z,z \ 1) \ x). [para(10221(a,1),21028(a,1,2,1))]. 21031 x * T(a(y,z,z \ 1) \ z,x) = z * (a(y,z,z \ 1) \ x). [para(19730(a,1),21029(a,1,2))]. 21032 (a(x,y,y \ 1) \ y) * z = y * (a(x,y,y \ 1) \ z). [hyper(220,a,21031,a)]. 21033 (a(x,R(y,z,y),R(y,z,y) \ 1) \ R(y,z,y)) \ (y * (a(y,z,y) * (a(x,R(y,z,y),R(y,z,y) \ 1) \ u))) = u. [hyper(72,a,12320,a,b,21032,a)]. 21034 (a(x,R(y,z,y),y \ 1) \ R(y,z,y)) \ (y * (a(y,z,y) * (a(x,R(y,z,y),R(y,z,y) \ 1) \ u))) = u. [para(13643(a,1),21033(a,1,1,1))]. 21035 (a(x,y,y \ 1) \ R(y,z,y)) \ (y * (a(y,z,y) * (a(x,R(y,z,y),R(y,z,y) \ 1) \ u))) = u. [para(13647(a,1),21034(a,1,1,1))]. 21038 (a(x,y,y \ 1) \ R(y,z,y)) \ (y * (a(y,z,y) * (a(x,R(y,z,y),y \ 1) \ u))) = u. [para(13643(a,1),21035(a,1,2,2,2,1))]. 21039 (a(x,y,y \ 1) \ R(y,z,y)) \ (y * (a(y,z,y) * (a(x,y,y \ 1) \ u))) = u. [para(13647(a,1),21038(a,1,2,2,2,1))]. 21041 (a(x,y,y \ 1) \ R(y,z,y)) \ (R(y,z,y) * (a(x,y,y \ 1) \ u)) = u. [para(12320(a,1),21039(a,1,2))]. 21043 L(x,a(y,z,z \ 1) \ 1,R(z,u,z)) = x. [hyper(236,a,18905,a(flip),b,21041,a(flip)),flip(a)]. 21044 L(x,a(y,z,z \ 1) \ 1,z) = x. [hyper(236,a,13490,a(flip),b,21043,a(flip)),flip(a)]. 21045 L(x,L(y,y \ 1,z) * (1 / y),y) = x. [para(19022(a,1),21044(a,1,2))]. 21046 L(x,L(y,y \ 1,z) * (y \ 1),y) = x. [hyper(236,a,7003,a(flip),b,21045,a(flip)),flip(a)]. 21047 L(x,y \ L(y,y \ 1,z),y) = x. [para(1207(a,1),21046(a,1,2))]. 21048 a(x,y,x) \ ((L(z,z \ 1,u) \ (z * w)) * a(x,y,x)) = T((z \ L(z,z \ 1,u)) \ w,a(x,y,x)). [hyper(394,a,13324,a(flip),b,21047,a(flip)),flip(a)]. 21049 a(x,y,x) \ ((L(z,z \ 1,u) \ (z * w)) * a(x,y,x)) = T(w * (L(z,z \ 1,u) \ z),a(x,y,x)). [para(20166(a,1),21048(a,2,1))]. 21050 a(x,y,x) \ ((L(z,z \ 1,u) \ (z * w)) * a(x,y,x)) = w * (L(z,z \ 1,u) \ z). [hyper(236,a,12291,a(flip),b,21049,a)]. 21052 a(x,y,x) \ ((z * (L(z,z \ 1,u) \ w)) * a(x,y,x)) = w * (L(z,z \ 1,u) \ z). [para(1210(a,1),21050(a,1,2,1))]. 21053 x * (L(y,y \ 1,z) \ y) = y * (L(y,y \ 1,z) \ x). [hyper(236,a,12288,a(flip),b,21052,a(flip))]. 21054 (x \ K(y,L(x \ 1,(x \ 1) \ 1,z) \ u)) * T(L(x \ 1,(x \ 1) \ 1,z) \ u,y) = u * (L(x \ 1,(x \ 1) \ 1,z) \ (x \ 1)). [hyper(236,a,14102,a,b,21053,a),flip(a)]. 21055 x * (L(y,y \ 1,x) \ y) = y * T(x * (1 / y),y). [para(6534(a,1),21053(a,2,2))]. 21056 x * (L(y,y \ 1,x) \ y) = (x * (1 / y)) * y. [hyper(236,a,119,a(flip),b,21055,a)]. 21057 x * (L(y,y \ 1,x) \ y) = R(x,y \ 1,y). [hyper(236,a,2804,a(flip),b,21056,a)]. 21058 L(x,x \ 1,y) \ x = a(y,x \ 1,x). [hyper(17,a,3627,a,b,21057,a)]. 21059 x \ (y \ L(y,y \ 1,x)) = R(x,y \ 1,y) \ 1. [para(21057(a,1),20168(a,1,1)),flip(a)]. 21060 K(x,y * (L(z,z \ 1,u) \ z)) = K(x,a(u,z \ 1,z) * y). [para(21058(a,2),17712(a,2,2,2)),flip(a)]. 21061 (x * y) * (((z \ L(z,z \ 1,y)) \ L(R(y,z \ 1,z) \ 1,y,x)) * (z \ L(z,z \ 1,y))) = x * ((z \ L(z,z \ 1,y)) * K(y \ 1,z \ L(z,z \ 1,y))). [para(21059(a,1),6054(a,1,2,1,2,1))]. 21062 K(x,y * a(z \ u,z,z \ 1)) = K(x,a(u,z \ 1,z) * y). [hyper(236,a,20484,a,b,21060,a(flip)),flip(a)]. 21063 K(x / (y \ T(T(z,u),w)),L(v5,v6,v7)) / K(x * ((y \ T(z,w)) \ K(z,u)),L(T(v5,(y \ T(T(z,u),w)) \ x),v6,v7)) = 1. [para(16547(a,1),20432(a,1,2))]. 21064 T(x,K(T(y \ z,u),T(z \ y,w) * v5) * v6) = v6 \ T(x * T(v6,K(v5,y \ z)),K((z \ y) * v5,T(y \ z,u))). [para(19330(a,1),20921(a,1,2,2)),flip(a)]. 21066 T(x,K(T(y \ z,u),T(z \ y,w) * v5) * v6) = v6 \ T(x * T(v6,K(v5,y \ z)),K(v5,y \ z)). [para(20920(a,1),21064(a,2,2))]. 21067 T(x,K(T(y \ z,u),T(z \ y,w) * v5) * v6) = T(x,K(y \ z,v5) * v6). [hyper(236,a,15654,a(flip),b,21066,a)]. 21069 T(x,K(T(y \ z,u) * w,z \ y) * v5) = T(x,K(z \ y,w) * v5). [hyper(16749,a,21067,a)]. 21070 T(x,K((y \ z) * u,z \ y) * w) = T(x,K(z \ y,u) * w). [para(118(a,1),21069(a,1,2,1,1,1))]. 21071 T(x,K(y * (z \ u),u \ z) * w) = T(x,K(u \ z,y) * w). [para(13417(a,1),21069(a,1,2,1))]. 21072 T(x,K(y \ z,(z \ y) * u) * w) = T(x,K(y \ z,u) * w). [hyper(15799,a,21070,a)]. 21073 T(x,K(y * (z * u),z \ u) * w) = T(x,K(z \ u,y) * w). [hyper(236,a,20932,a(flip),b,21071,a(flip)),flip(a)]. 21074 T(x,K(y * z,(y \ z) * u) * w) = T(x,K(z \ y,u) * w). [hyper(20939,a,21072,a)]. 21075 T(x,K(y * (z * u),z \ u) * w) = T(x,K(u * z,y) * w). [hyper(236,a,20935,a(flip),b,21073,a)]. 21076 T(x,K(y * z,(y \ z) * u) * w) = T(x,K(y * z,u) * w). [hyper(236,a,20935,a(flip),b,21074,a)]. 21077 K(x,T((a(y \ 1,y,z) * u) \ w,a(y \ 1,y,z) \ w)) = K(x,(a(y \ 1,y,z) \ w) / u). [hyper(13147,a,20981,a),flip(a)]. 21079 K(x,T(y,a(z \ 1,z,u)) / (w * a(z \ 1,z,u))) = K(x,(a(z \ 1,z,u) \ y) / w). [hyper(236,a,19923,a(flip),b,21077,a(flip)),flip(a)]. 21080 K(x,(a(y \ 1,y,z) \ u) / w) = K(x,u / (w * a(y \ 1,y,z))). [para(14215(a,1),21079(a,1,2,1)),flip(a)]. 21081 K(x,(a(y \ 1,y,z) \ u) / w) = K(x,a(y \ 1,y,z) \ (u / w)). [hyper(236,a,20130,a(flip),b,21080,a)]. 21082 K(x,(a(y \ 1,y,z) \ u) / w) = K(x,a(z,y,y \ 1) * (u / w)). [hyper(236,a,18864,a(flip),b,21081,a)]. 21083 K(x / (y \ T(T(z,u),w)),L(v5,v6,v7)) / K(x * ((y \ T(z,w)) \ K(z,u)),L(T(v5,x * (T(T(z,u),w) \ y)),v6,v7)) = 1. [para(20388(a,1),21063(a,1,2))]. 21084 K(x / (y \ T(T(z,u),w)),L(v5,v6,v7)) / K(x * ((y \ T(z,w)) \ K(z,u)),L(T(v5,x * (T(z,u) \ y)),v6,v7)) = 1. [para(17194(a,1),21083(a,1,2))]. 21085 K(x / (y \ T(T(z,u),w)),L(v5,v6,v7)) / K(x * ((y \ T(z,w)) \ K(z,u)),L(T(v5,x * (z \ y)),v6,v7)) = 1. [para(17194(a,1),21084(a,1,2))]. 21088 K(x / (y \ T(T(z,u),w)),L(v5,v6,v7)) / K(x / (y \ T(T(z,u),w)),L(T(v5,x * (z \ y)),v6,v7)) = 1. [para(20431(a,1),21085(a,1,2))]. 21089 K(x / (y \ T(T(z,u),w)),L(v5,v6,v7)) * K(L(T(v5,x * (z \ y)),v6,v7),x / (y \ T(T(z,u),w))) = 1. [hyper(7561,a,21088,a)]. 21090 K(x / (y \ T(T(z,u),w)),L(v5,v6,v7)) * K(T(v5,x * (z \ y)),L(x / (y \ T(T(z,u),w)),v6,v7)) = 1. [para(11533(a,1),21089(a,1,2))]. 21091 K(x / (y \ T(T(z,u),w)),L(v5,v6,v7)) * K(v5,T(L(x / (y \ T(T(z,u),w)),v6,v7),x * (z \ y))) = 1. [hyper(8525,a,21090,a)]. 21092 K(x / (y \ T(T(z,u),w)),L(v5,v6,v7)) * K(v5,L(T(x / (y \ T(T(z,u),w)),x * (z \ y)),v6,v7)) = 1. [para(40(a,2),21091(a,1,2,2))]. 21093 K(x / (y \ T(T(z,u),w)),K(v5,x * (z \ y))) = 1. [hyper(236,a,18024,a(flip),b,21092,a(flip)),flip(a)]. 21094 K(x,K(y / (z \ T(T(u,w),v5)),y * (u \ z))) = 1. [hyper(9224,a,21093,a)]. 21095 K(x,K((y \ T(T(z,u),w)) \ v5,(z \ y) * v5)) = 1. [para(13031(a,1),21094(a,1,2))]. 21096 K(x,K((y \ z) * u,(z \ T(T(y,w),v5)) \ u)) = 1. [hyper(7971,a,21095,a)]. 21097 K(x,K((y \ z) * u,T(T(y,w),v5) \ (z * u))) = 1. [hyper(17878,a,21096,a)]. 21098 K(x,K((y \ z) * u,y \ (z * u))) = 1. [para(5845(a,1),21097(a,1,2,2,1))]. 21099 L(x \ R(x,K(y,z),T(u,z \ 1)),x,((z \ K(z,y)) \ u) * (z \ 1)) = a(x,K(y,z),((z \ 1) \ u) * (z \ 1)). [para(13726(a,1),18395(a,1,1,2))]. 21100 L(x \ L(x,K(y,z),T(u,z \ 1)),x,((z \ K(z,y)) \ u) * (z \ 1)) = a(x,K(y,z),((z \ 1) \ u) * (z \ 1)). [para(18654(a,1),21099(a,1,1,2))]. 21101 L(x \ L(x,K(y,z),u),x,((z \ K(z,y)) \ u) * (z \ 1)) = a(x,K(y,z),((z \ 1) \ u) * (z \ 1)). [para(19176(a,1),21100(a,1,1,2))]. 21103 T(a(x,y,K(z,L(u,w,v5))),K(a(u,y,K(x,z)),v6)) = a(u,y,K(x,z)) * T(a(u,v5,a(w,y,K(x,z))),a(u,y,K(x,z))). [para(17659(a,1),18405(a,1,2,2)),flip(a)]. 21104 T(a(x,y,K(z,L(u,w,v5))),K(a(u,y,K(x,z)),v6)) = a(u,y,K(x,z)) * a(u,v5,a(w,y,K(x,z))). [para(17661(a,1),21103(a,2,2))]. 21106 T(a(x,y,K(z,L(u,w,v5))),K(a(u,y,K(x,z)),v6)) = a(u,y,K(x,L(z,v5,w))). [hyper(236,a,14969,a(flip),b,21104,a)]. 21108 a(x,y,K(z,L(u,w,v5))) = a(u,y,K(x,L(z,v5,w))). [hyper(17743,a,21106,a),flip(a)]. 21111 (x * y) * a(z,u,K(w,L(v5,y,x))) = (x * a(w,u,K(v5,z))) * y. [para(21108(a,1),18437(a,1,2))]. 21112 (x * a(y,z,K(u,w))) * v5 = x * (v5 * a(w,z,K(y,u))). [hyper(12127,a,21111,a),flip(a)]. 21113 (x * a(y,z,K(u,w))) * v5 = x * (v5 * a(y,z,K(u,w))). [para(13990(a,1),21112(a,1,1,2))]. 21114 (x * (a(y,z,K(u,w)) * v5)) \ (x * (v5 * a(y,z,K(u,w)))) = a(x,a(u,z,K(w,y)),v5). [para(21112(a,1),18472(a,1,2))]. 21115 (K(x,y) * z) / (L(y * x,u,K(w,v5)) \ z) = x * (y * a(v5,u,K(y * x,w))). [hyper(236,a,18080,a,b,21113,a(flip)),flip(a)]. 21116 (K(x,y) * z) / (L(y * x,u,K(w,v5)) \ z) = L(x * y,u,K(w,v5)). [hyper(236,a,20699,a(flip),b,21115,a)]. 21117 L(x * y,z,K(u,x)) = x * L(y,z,K(u,x)). [hyper(236,a,15050,a(flip),b,21116,a(flip))]. 21118 a(x,a(y,z,K(u,w)),v5) = K(v5,a(w,z,K(y,u))). [hyper(10694,a,21114,a),flip(a)]. 21119 a(x,a(y,z,K(u,w)),v5) = 1. [hyper(236,a,17648,a(flip),b,21118,a)]. 21121 L(x,a(y,z,K(u,w)),v5) = x. [hyper(33,a,21119,a)]. 21123 (x * a(y,z,K(u,w))) \ v5 = a(y,z,K(u,w)) \ (x \ v5). [hyper(236,a,227,a(flip),b,21121,a(flip)),flip(a)]. 21124 L(x,K(y,a(z,u,w) \ 1),v5) = x. [para(15112(a,1),21121(a,1,2))]. 21125 x / (a(y,z,K(u,w)) * v5) = a(u,z,K(w,y)) \ (x / v5). [para(21121(a,1),17833(a,1,2,2)),flip(a)]. 21126 (x * a(y,z,K(u,w))) \ v5 = a(u,z,K(y,w)) * (x \ v5). [hyper(236,a,14026,a(flip),b,21123,a)]. 21127 x / (a(y,z,K(u,w)) * v5) = a(w,z,K(u,y)) * (x / v5). [hyper(236,a,14026,a(flip),b,21125,a)]. 21128 K(x,y / (K(z,u) * (w * a(v5,v6,K(v7,v8))))) = K(x,y * (a(v7,v6,K(v5,v8)) * (w \ K(u,z)))). [para(21126(a,1),14541(a,2,2,2))]. 21129 (a(x,y,K(z,u)) * w) \ v5 = a(z,y,K(x,u)) * (w \ v5). [para(17667(a,2),21126(a,1,1))]. 21130 (a(x,y,K(z,u)) * w) \ v5 = a(u,y,K(z,x)) * (w \ v5). [para(17791(a,2),21126(a,1,1))]. 21131 a(x,y,K(z,u)) * (w / z) = w / L(z,y,K(x,u)). [para(14674(a,1),21127(a,1,2)),flip(a)]. 21132 x / (y * a(z,u,K(w,v5))) = a(v5,u,K(w,z)) * (x / y). [para(17667(a,1),21127(a,1,2))]. 21133 K(x,y * (z / L(u,w,K(v5,v6)))) = K(x,y * (z / u)). [para(21131(a,1),18122(a,1,2,2))]. 21134 K(x,y * ((K(z,u) * w) / v5)) = K(x,y * (K(z,u) * (w / v5))). [para(494(a,1),21133(a,1,2,2)),flip(a)]. 21135 K(x,y * (z / ((K(u,w) * v5) \ v6))) = K(x,y * (z / (v5 \ (K(w,u) * v6)))). [para(5276(a,1),21133(a,1,2,2,2))]. 21136 x \ (y * (a(z,u,K(w,v5)) * (y \ x))) = K(a(z,u,w),L(T(v5,x),y,y \ x)). [para(21129(a,1),20022(a,1,2,2))]. 21137 K(x,y * ((z * K(u,w)) / v5)) = K(x,y * (K(u,w) * (z / v5))). [hyper(236,a,16723,a(flip),b,21134,a(flip)),flip(a)]. 21138 K(x,y * (K(z,T(u,w)) * (v5 / w))) = K(x,y * (v5 / (K(u,z) * w))). [hyper(236,a,18086,a(flip),b,21137,a(flip))]. 21139 K(x,y * ((T(z / u,w) \ z) / v5)) = K(x,y * (K(w,u \ z) * (u / v5))). [para(7516(a,2),21137(a,1,2,2,1))]. 21140 K(x,y * (z / (K(u,w) * v5))) = K(x,y * (K(w,u) * (z / v5))). [hyper(16753,a,21138,a),flip(a)]. 21141 K(x,y * (z / (u * K(w,v5)))) = K(x,y * (K(v5,w) * (z / u))). [hyper(16752,a,21140,a)]. 21143 K(x,y * (K(z,u) * ((w * T(v5 / T(w,K(u,z)),K(u,z))) / w))) = K(x,y * T(v5 / (w * K(u,z)),w * K(u,z))). [hyper(236,a,19838,a(flip),b,21141,a(flip))]. 21144 K(x,K(y,K(z,u)) * (w / (u \ (K(z,y) * v5)))) = K(x,w / ((u * K(y,z)) \ v5)). [hyper(236,a,20367,a(flip),b,21135,a(flip))]. 21145 K(a(x,y,z),L(T(u,w),v5,v5 \ w)) = a(z,y,K(u,L(x,w,v5))). [hyper(236,a,18424,a(flip),b,21136,a(flip))]. 21146 a(x,y,K(z,L(T(u,w),v5,v5 \ w))) = a(z,y,K(u,L(x,w,v5))). [hyper(13907,a,21145,a)]. 21147 K(x,L(y,z,L(T(u,w),v5,v5 \ w))) = a(x,z,K(u,L(y,w,v5))) * K(x,y). [para(21146(a,1),14021(a,1,1)),flip(a)]. 21148 K(x,L(y,z,L(T(u,w),v5,v5 \ w))) = K(x,L(y,z,L(u,w,v5))). [hyper(236,a,14344,a(flip),b,21147,a)]. 21149 K(x,L(y,z,L(u,w,w \ v5))) = K(x,L(y,z,L(u,v5,w))). [hyper(17845,a,21148,a)]. 21151 K(x,L(y,z,L((u / (w / v5)) \ 1,w,u))) = K(x,L(y,z,(u * v5) \ w)). [hyper(236,a,20765,a(flip),b,21149,a(flip))]. 21152 K(x,L(y,z,L(u \ (w / v5),w,u))) = K(x,L(y,z,(u * v5) \ w)). [hyper(18453,a,21151,a)]. 21153 K(x,y / ((z * K(u,w)) \ v5)) = K(x,y / (z \ (K(w,u) * v5))). [hyper(16624,a,21144,a),flip(a)]. 21155 K(x,y * (a(z,u,K(w,v5)) * (v6 \ K(v5,w)))) = K(x,y / (K(w,L(v5,u,z)) * v6)). [para(17802(a,1),21128(a,1,2,2)),flip(a)]. 21156 K(x,y * (a(z,u,K(w,v5)) * (v6 \ K(v5,w)))) = K(x,y * (v6 \ K(L(v5,u,z),w))). [hyper(236,a,14541,a(flip),b,21155,a)]. 21157 K(x,y * (a(z,u,K(w,v5)) * (v6 \ K(v5,w)))) = K(x,y * (v6 \ K(v5,L(w,u,z)))). [para(11533(a,1),21156(a,2,2,2,2))]. 21158 K(x,y * (z \ K(u,L(w,v5,v6)))) = K(x,y * (z \ K(u,w))). [hyper(236,a,18122,a(flip),b,21157,a(flip))]. 21160 K(x,y / (z \ (u * K(w,v5)))) = K(x,y * ((z \ u) \ K(v5,w))). [hyper(236,a,20593,a(flip),b,21158,a(flip)),flip(a)]. 21161 K(x,((y / (z \ 1)) * (z \ K(u,w))) / v5) = K(x,y * (v5 \ K(u,w))). [hyper(236,a,18404,a(flip),b,21158,a(flip)),flip(a)]. 21163 K(x,y / (z \ (K(u,w) * v5))) = K(x,y * ((z \ v5) \ K(w,u))). [hyper(236,a,19829,a,b,21160,a(flip)),flip(a)]. 21164 K(x,y / ((z * K(u,w)) \ v5)) = K(x,y * ((z \ v5) \ K(u,w))). [hyper(236,a,21153,a,b,21163,a(flip)),flip(a)]. 21165 K(x,y / ((K(z,u) \ w) \ v5)) = K(x,y * ((w \ v5) \ K(u,z))). [hyper(236,a,18090,a,b,21163,a(flip)),flip(a)]. 21166 K(x,y * (((z \ 1) \ u) \ K(w,v5))) = K(x,y / ((z \ K(w,v5)) \ u)). [para(14046(a,1),21164(a,1,2,2,1)),flip(a)]. 21167 K(x,y * (((z / u) \ w) \ K(z,v5))) = K(x,y / ((T(z,v5) / u) \ w)). [para(14475(a,1),21165(a,1,2,2,1)),flip(a)]. 21169 K(x,y * ((z * (u \ K(w,v5))) \ K(w,v5))) = K(x,y / (z * (u \ 1))). [hyper(236,a,20598,a(flip),b,21161,a(flip))]. 21170 K(x,K(y,z) * (u / ((w \ 1) \ v5))) = K(x,u / ((w \ K(y,z)) \ v5)). [hyper(19242,a,21166,a)]. 21171 K(x,y / ((z \ K(z * u,w)) \ u)) != v5 | K(x,y / T((1 / z) \ u,w)) = v5. [para(21166(a,1),19722(a,1))]. 21172 K(x,y / ((T(z,u) / u) \ w)) = K(x,y / ((u \ z) \ w)). [hyper(19549,a,21167,a),flip(a)]. 21173 K(x,y / ((z / T(u,z)) \ w)) = K(x,y / ((u \ z) \ w)). [para(4115(a,1),21172(a,1,2,2,1))]. 21175 K(x,y * T(a(z,u,w) \ v5,v5 \ K(v6,v7))) = K(x,y / (a(z,u,w) * (v5 \ 1))). [para(18782(a,2),21169(a,1,2,2))]. 21176 K(x,y / ((z \ K(z * u,w)) \ u)) = K(x,y / T((z \ 1) \ u,w)). [hyper(16432,a,21170,a),flip(a)]. 21177 K(x,y / T((1 / z) \ u,w)) = K(x,y / T((z \ 1) \ u,w)). [hyper(21171,a,21176,a)]. 21178 K(x,y * (K(z,u) * T((w * (v5 / T(w,K(u,z)))) / w,K(u,z)))) = K(x,y * T(v5 / (w * K(u,z)),w * K(u,z))). [para(412(a,1),21143(a,1,2,2,2))]. 21179 K(x,y * (K(z,u) * T((w * (v5 / w)) / T(w,K(u,z)),K(u,z)))) = K(x,y * T(v5 / (w * K(u,z)),w * K(u,z))). [para(8812(a,1),21178(a,1,2,2,2,1))]. 21180 K(x,y * (((z * (u / z)) / T(z,K(w,v5))) * K(v5,w))) = K(x,y * T(u / (z * K(w,v5)),z * K(w,v5))). [para(7990(a,1),21179(a,1,2,2))]. 21181 K(x,y * T(z / (u * K(w,v5)),u * K(w,v5))) = K(x,y * (((u * (z / u)) / u) * K(v5,w))). [hyper(19689,a,21180,a),flip(a)]. 21182 K(x,y * T(z / (u * K(w,v5)),u * K(w,v5))) = K(x,y * (T(z / u,u) * K(v5,w))). [hyper(236,a,18541,a(flip),b,21181,a)]. 21183 K(x,y * T(z / (u * K(w,v5)),u * K(w,v5))) = K(x,y * ((u \ z) * K(v5,w))). [para(121(a,1),21182(a,2,2,2,1))]. 21184 K(x,y * ((z * K(u,w)) \ v5)) = K(x,y * ((z \ v5) * K(w,u))). [para(121(a,1),21183(a,1,2,2))]. 21185 K(x,y * ((z * ((u * w) / u)) \ v5)) = K(x,y * (((z * w) \ v5) * K(w,u))). [para(7545(a,1),21184(a,1,2,2,1))]. 21186 K(x,y * (((z * u) \ w) * K(v5,v5 \ u))) = K(x,y * ((z * ((v5 \ u) * v5)) \ w)). [para(10659(a,1),21184(a,1,2,2,1)),flip(a)]. 21187 K(x,y * ((z \ u) * K(w,v5))) * K(x,K(y,z \ u)) = K(x,((z * K(v5,w)) \ u) * y). [para(21184(a,1),19886(a,1,1))]. 21188 K(x,y * ((z * ((u \ w) * u)) \ v5)) = K(x,y * (((z * w) \ v5) * K(w,u))). [hyper(236,a,18189,a(flip),b,21186,a(flip))]. 21189 K(x,((y * K(z,u)) \ w) * v5) = K(x,(y \ w) * (K(u,z) * v5)). [hyper(18461,a,21187,a),flip(a)]. 21190 K(x,((y * z) \ u) * (K(w,z) * v5)) = K(x,((y * T(z,w)) \ u) * v5). [para(6201(a,1),21189(a,1,2,1,1)),flip(a)]. 21191 K(x,((y * z) \ u) * (K(w,w \ z) * v5)) = K(x,((y * ((w \ z) * w)) \ u) * v5). [para(10659(a,1),21189(a,1,2,1,1)),flip(a)]. 21192 ((x \ (x / y)) * x) * ((z \ (K(x,y \ 1) * z)) * z) = (x / y) * (z * K(K(y \ 1,x) \ 1,z)). [para(11056(a,1),19191(a,1,2,1,2))]. 21193 ((x \ (x / y)) * x) * (T(K(x,y \ 1),z) * z) = (x / y) * (z * K(K(y \ 1,x) \ 1,z)). [para(32(a,2),21192(a,1,2,1))]. 21195 (x / y) * (z * K(K(y \ 1,x) \ 1,z)) = ((x \ (x / y)) * x) * (z * K(x,y \ 1)). [para(8094(a,1),21193(a,1,2)),flip(a)]. 21196 (x / y) * (z * K(K(x,y \ 1),z)) = ((x \ (x / y)) * x) * (z * K(x,y \ 1)). [para(5093(a,1),21195(a,1,2,2,1))]. 21197 (x / y) * (z * K(x,K(y,z))) = ((x \ (x / y)) * x) * (z * K(x,y \ 1)). [para(9245(a,1),21196(a,1,2,2))]. 21198 ((x \ (x / y)) * x) * (z * K(x,y \ 1)) = (x / y) * T(z,K(x,y)). [para(7933(a,1),21197(a,1,2)),flip(a)]. 21199 ((x \ (x / y)) * x) * (z * K(x,y \ 1)) != u | T((x / y) * z,K(x,y)) = u. [para(21198(a,2),10541(a,1))]. 21200 K(x,L(T((y \ (z \ y)) * y,u * (T(1 / z,y) \ 1)),T(1 / z,y) \ 1,u)) = K(x,(u * y) / (u * T(z,y))). [para(65(a,1),20762(a,2,2,2,2,1))]. 21201 K(x,L(T((y \ (z \ y)) * y,u / T(1 / z,y)),T(1 / z,y) \ 1,u)) = K(x,(u * y) / (u * T(z,y))). [para(14246(a,1),21200(a,1,2,1))]. 21202 K(x,L(T((y \ (z \ y)) * y,u * T(z,y)),T(1 / z,y) \ 1,u)) = K(x,(u * y) / (u * T(z,y))). [para(19321(a,1),21201(a,1,2,1))]. 21203 K(x,L(T((y \ (z \ y)) * y,u * T(z,y)),T(z \ 1,y) \ 1,u)) = K(x,(u * y) / (u * T(z,y))). [para(7005(a,1),21202(a,1,2))]. 21204 K(x,L(T((y \ (z \ y)) * y,u * T(z,y)),(z \ 1) \ 1,u)) = K(x,(u * y) / (u * T(z,y))). [hyper(20303,a,21203,a)]. 21205 K(x,L(T((y \ (z \ y)) * y,u * T(z,y)),z,u)) = K(x,(u * y) / (u * T(z,y))). [para(6999(a,1),21204(a,1,2))]. 21206 K(x,L(T((y \ (z \ y)) * y,u * z),z,u)) = K(x,(u * y) / (u * T(z,y))). [hyper(236,a,17117,a(flip),b,21205,a(flip)),flip(a)]. 21208 (L(x \ 1,y,z) \ 1) \ T(L(x \ 1,y,z) \ 1,T(u \ w,v5)) = T(K(x,L(T((u \ 1) * w,v5),y,z)),L((x \ 1) \ 1,y,z)). [hyper(236,a,11700,a,b,18332,a)]. 21209 (K(x,L(y,(K(z,u) * w) * v5,v5)) * ((K(z,u) * w) * v5)) / (K(z,u) * v5) = K(x,y) * L(T(w,K(z,u)),K(z,u),v5). [para(19927(a,1),18669(a,1,1,1))]. 21210 (K(x,L(y,K(z,u) * w,v5)) * ((K(z,u) * w) * v5)) / (K(z,u) * v5) = K(x,y) * L(T(w,K(z,u)),K(z,u),v5). [para(15471(a,1),21209(a,1,1,1))]. 21212 ((K(x,y) * (K(z,u) * w)) * v5) / (K(z,u) * v5) = K(x,y) * L(T(w,K(z,u)),K(z,u),v5). [para(15367(a,1),21210(a,1,1))]. 21213 L(T(K(x,y) * z,K(u,w)),K(u,w),v5) = K(x,y) * L(T(z,K(u,w)),K(u,w),v5). [hyper(236,a,18670,a(flip),b,21212,a(flip)),flip(a)]. 21214 L(T(K(x,y) * z,K(u,w)),K(u,w),v5) = T(K(x,y) * L(z,K(u,w),v5),K(u,w)). [hyper(17154,a,21213,a(flip)),flip(a)]. 21215 T(L(T(K(x,y) * z,K(u,w)),K(u,w),v5),K(u,w)) = K(x,y) * L(z,K(u,w),v5). [para(21214(a,2),7983(a,1,1))]. 21216 L(T(T(K(x,y) * z,K(u,w)),K(u,w)),K(u,w),v5) = K(x,y) * L(z,K(u,w),v5). [hyper(236,a,123,a,b,21215,a(flip)),flip(a)]. 21217 L(K(x,y) * z,K(u,w),v5) = K(x,y) * L(z,K(u,w),v5). [para(7983(a,1),21216(a,1,1))]. 21218 L(K(x,y) * (K(y,x) * z),K(x,y),u) = K(x,y) * (u \ ((u * K(y,x)) * z)). [hyper(236,a,20036,a(flip),b,21217,a)]. 21222 K(x,y) * (z \ ((z * K(y,x)) * u)) = L(u,K(x,y),z). [para(5268(a,1),21218(a,1,1)),flip(a)]. 21223 (L(x \ 1,y,z) \ 1) \ T(L(x \ 1,y,z) \ 1,u / T(w,v5)) = T(K(x,L(u * T(w \ 1,v5),y,z)),L((x \ 1) \ 1,y,z)). [hyper(236,a,11700,a,b,19320,a)]. 21224 a(x / T((x \ y) \ 1,y),(x \ y) \ 1,((x \ y) \ 1) \ 1) = (L((x \ y) \ 1,x \ y,x) \ 1) * ((x \ y) \ 1). [para(6999(a,1),20157(a,2,1,1))]. 21225 a(x / T((x \ y) \ 1,y),(x \ y) \ 1,((x \ y) \ 1) \ 1) = ((y \ x) \ 1) * ((x \ y) \ 1). [para(347(a,1),21224(a,2,1,1))]. 21226 a(x / T((x \ y) \ 1,y),(x \ y) \ 1,((x \ y) \ 1) \ 1) = (y \ x) \ (1 / (x \ y)). [hyper(236,a,15027,a(flip),b,21225,a)]. 21227 (L(x \ 1,y,z) \ 1) \ T(L(x \ 1,y,z) \ 1,T(u \ w,v5)) = T(K(x,L(T((u \ 1) * w,v5),y,z)),L(T(x,1),y,z)). [hyper(236,a,9908,a(flip),b,21208,a)]. 21228 (L(x \ 1,y,z) \ 1) \ T(L(x \ 1,y,z) \ 1,T(u \ w,v5)) = T(K(x,L(T((u \ 1) * w,v5),y,z)),L(x,y,z)). [para(145(a,1),21227(a,2,2,1))]. 21229 (L(x \ 1,y,z) \ 1) \ T(L(x \ 1,y,z) \ 1,T(u \ w,v5)) = K(x,L(T((u \ 1) * w,v5),y,z)). [hyper(236,a,3273,a(flip),b,21228,a)]. 21230 K(L(x \ 1,y,z) \ 1,T(u \ w,v5)) = K(x,L(T((u \ 1) * w,v5),y,z)). [hyper(4956,a,21229,a)]. 21232 K((x \ 1) \ 1,L(T(y \ z,u),w,v5)) = K(x,L(T((y \ 1) * z,u),w,v5)). [hyper(11590,a,21230,a)]. 21233 K(x,L(T((y \ 1) * z,u),w,v5)) = K(x,L(T(y \ z,u),w,v5)). [hyper(5144,a,21232,a),flip(a)]. 21234 K(x,L(T((1 / y) \ z,u),w,v5)) = K(x,L(T(y * z,u),w,v5)). [para(65(a,1),21233(a,1,2,1,1,1)),flip(a)]. 21235 K(x,L(T(y * z,y * u),y \ 1,u)) = K(x,(u * z) / (u * (1 / y))). [hyper(236,a,16435,a(flip),b,21234,a(flip))]. 21236 K(x,L(T(y * z,y * u),y \ 1,u)) = K(x,(u * z) / (u * (y \ 1))). [hyper(236,a,5753,a(flip),b,21235,a)]. 21237 K(x,L(T((y * (z \ 1)) * u,(y * (z \ 1)) * (y / z)),(y * (z \ 1)) \ 1,y / z)) = K(x,((y / z) * u) / ((y * (z \ 1)) \ ((y / z) * 1))). [para(1583(a,2),21236(a,2,2,2))]. 21238 (L(x \ 1,y,z) \ 1) \ T(L(x \ 1,y,z) \ 1,u / T(w,v5)) = T(K(x,L(u * T(w \ 1,v5),y,z)),L(T(x,1),y,z)). [hyper(236,a,9908,a(flip),b,21223,a)]. 21239 (L(x \ 1,y,z) \ 1) \ T(L(x \ 1,y,z) \ 1,u / T(w,v5)) = T(K(x,L(u * T(w \ 1,v5),y,z)),L(x,y,z)). [para(145(a,1),21238(a,2,2,1))]. 21240 (L(x \ 1,y,z) \ 1) \ T(L(x \ 1,y,z) \ 1,u / T(w,v5)) = K(x,L(u * T(w \ 1,v5),y,z)). [hyper(236,a,3273,a(flip),b,21239,a)]. 21241 K(L(x \ 1,y,z) \ 1,u / T(w,v5)) = K(x,L(u * T(w \ 1,v5),y,z)). [hyper(4956,a,21240,a)]. 21243 K((x \ 1) \ 1,L(y / T(z,u),w,v5)) = K(x,L(y * T(z \ 1,u),w,v5)). [hyper(11590,a,21241,a)]. 21244 K(x,L(y * T(z \ 1,u),w,v5)) = K(x,L(y / T(z,u),w,v5)). [hyper(5144,a,21243,a),flip(a)]. 21245 K(x,L(y / (z \ T(u,u \ z)),w,v5)) = K(x,L(y / T(z \ u,u),w,v5)). [hyper(14664,a,21244,a)]. 21246 K(x,L(y / (z \ T(u,u \ z)),w,v5)) = K(x,L(y / (u / z),w,v5)). [hyper(236,a,15964,a(flip),b,21245,a)]. 21247 K(x,L(y / (((z \ u) * z) \ z),w,v5)) = K(x,L(y / (z / u),w,v5)). [para(5958(a,2),21246(a,1,2,1,2))]. 21248 K(x,L(y / (((y \ T(z,u)) * y) \ y),w,v5)) = K(x,L(T(y / (y / z),u),w,v5)). [para(7790(a,1),21247(a,2,2,1))]. 21249 K(x,L(y / (T((y \ z) * y,u) \ y),w,v5)) = K(x,L(T(y / (y / z),u),w,v5)). [para(4639(a,2),21248(a,1,2,1,2,1))]. 21250 K(x,L(T(y / (y / z),u),w,v5)) = K(x,L(T((y \ z) * y,u),w,v5)). [para(62(a,1),21249(a,1,2,1)),flip(a)]. 21251 K(x,L(T((y \ z) * y,u),w,v5)) = K(x,L(T(T(z,u),y),w,v5)). [hyper(236,a,9928,a(flip),b,21250,a(flip))]. 21253 K(x,L(T(T(y \ z,u * y),z),y,u)) = K(x,(u * z) / (u * T(y,z))). [hyper(236,a,21206,a(flip),b,21251,a(flip))]. 21254 K(x,L(T(y / z,u * z),z,u)) = K(x,(u * y) / (u * T(z,y))). [hyper(236,a,9927,a(flip),b,21253,a(flip)),flip(a)]. 21255 K(x,(y * z) / (y * T(u,z))) = K(x,(u * y) \ (z * y)). [hyper(236,a,20520,a(flip),b,21254,a(flip))]. 21256 K((x * y) / ((z \ x) * y),(u * w) \ (v5 * w)) = K(z,L((w * v5) / (w * T(u,v5)),x,y)). [hyper(15393,a,21255,a),flip(a)]. 21257 K(x,L((y * z) / (y * T(u,z)),w,v5)) = K(x,L((u * y) \ (z * y),w,v5)). [hyper(15393,a,21256,a),flip(a)]. 21258 K(x,L((y * z) / (y * T(u,z)),y,z \ 1)) = K(x,(z \ (u * y)) \ y). [hyper(236,a,18824,a(flip),b,21257,a)]. 21259 K(x,y / ((y * T(z,u)) / u)) = K(x,(u \ (z * y)) \ y). [hyper(20722,a,21258,a)]. 21260 K(x,y / ((y * T(z,u)) / u)) = K(x,y \ (z \ (u * y))). [hyper(236,a,20550,a(flip),b,21259,a)]. 21261 K(x,y \ (((z * u) / z) \ ((z * u) * y))) = K(x,y / ((y * L(u,z,u)) / (z * u))). [para(4254(a,1),21260(a,1,2,2,1,2)),flip(a)]. 21262 K(x,y \ (((z * u) / z) \ ((z * u) * y))) = K(x,y / ((y * u) / (z * u))). [hyper(20735,a,21261,a(flip)),flip(a)]. 21263 K(x,y / ((y * z) / (u * z))) = K(x,y \ (z \ ((z * u) * y))). [para(11070(a,1),21262(a,1,2,2)),flip(a)]. 21264 K(x,(y \ L(y,z,z \ 1)) / (u / w)) = K(x,(a(z \ 1,z,y) \ w) / u). [hyper(20834,a,19794,a)]. 21265 K(x,(y / z) \ (u \ L(u,w,w \ 1))) = K(x,(a(w \ 1,w,u) \ z) / y). [hyper(17770,a,21264,a)]. 21267 K(x,(a(y \ 1,y,z) \ u) / w) = K(x,(w / u) \ a(z,y,y \ 1)). [hyper(236,a,20133,a(flip),b,21265,a(flip))]. 21268 K(x,(y / z) \ a(u,w,w \ 1)) = K(x,a(u,w,w \ 1) * (z / y)). [hyper(236,a,21082,a(flip),b,21267,a(flip))]. 21269 T(K(x,a(y,z,u)) * (w * a(x,z,u)),T(v5,w * a(x,z,u))) = (w * T(a(x,z,u),y)) * K(w * a(x,z,u),v5). [para(18078(a,1),18032(a,1,2)),flip(a)]. 21270 T(K(x,a(y,z,u)) * (w * a(x,z,u)),T(v5,w * a(x,z,u))) = T(w * a(x,z,u),v5) * K(a(x,z,u),y). [hyper(236,a,16324,a(flip),b,21269,a)]. 21272 T(K(x,a(y,z,u)) * (w * a(x,z,u)),T(v5,w * a(x,z,u))) = T(w * a(x,z,u),v5) * K(x,a(y,z,u)). [para(14072(a,1),21270(a,2,2))]. 21273 T(x * T(a(y,z,u),w),T(v5,x * a(y,z,u))) = T(x * a(y,z,u),v5) * K(y,a(w,z,u)). [para(17844(a,1),21272(a,1,1))]. 21274 T(x * a(y,z,u),w) * K(y,a(v5,z,u)) = T(x * T(a(y,z,u),v5),w). [hyper(16916,a,21273,a),flip(a)]. 21275 K(x,T(y * T(a(z,u,w),v5),v6)) = K(x,T(y * a(z,u,w),v6)). [para(21274(a,1),18068(a,1,2))]. 21276 K(x,T(T(a(y,z,u),w) * v5,v6)) = K(x,T(v5 * a(y,z,u),v6)). [hyper(236,a,17715,a,b,21275,a(flip)),flip(a)]. 21278 K(x,K(T(T(a(y,z,u),w) * v5,v6),v7) * v8) = (x * T(v9,K(x,v8))) \ (T(x,K(v7,T(v5 * a(y,z,u),v6)) * v8) * v9). [para(21276(a,1),17006(a,1,2,1,2,1)),flip(a)]. 21279 K(x,K(T(T(a(y,z,u),w) * v5,v6),v7) * v8) = (x * T(v9,K(x,v8))) \ (T(x,K(v5 * a(y,z,u),v7) * v8) * v9). [para(16693(a,1),21278(a,2,2,1))]. 21281 a(x / T((x \ y) \ 1,y),(x \ y) \ 1,((x \ y) \ 1) \ 1) \ z = (L((x \ y) \ 1,((x \ y) \ 1) \ 1,x) * (1 / ((x \ y) \ 1))) * z. [para(19025(a,1),18885(a,1,1)),flip(a)]. 21282 ((x \ y) \ K(x \ y,z)) * ((x \ y) * T((K(y / x,z) * (x / y)) * K(z,y / x),y)) = (y * K(z,x \ y)) \ x. [para(17235(a,1),20034(a,1,2,2))]. 21283 ((x \ y) \ K(x \ y,z)) * ((x \ y) * T(T(x / y,K(z,y / x)),y)) = (y * K(z,x \ y)) \ x. [para(7395(a,1),21282(a,1,2,2,1))]. 21284 ((x \ y) \ K(x \ y,z)) * ((x \ y) * T(T(x / y,K(z,x \ y)),y)) = (y * K(z,x \ y)) \ x. [para(16090(a,1),21283(a,1,2,2,1))]. 21285 ((x \ y) \ K(x \ y,z)) * ((x \ y) * T(y \ x,K(z,x \ y))) = (y * K(z,x \ y)) \ x. [para(183(a,1),21284(a,1,2,2))]. 21286 ((x \ y) \ K(x \ y,z)) * ((x \ y) * (y \ x)) = (y * K(z,x \ y)) \ x. [para(3074(a,1),21285(a,1,2,2))]. 21287 K(x \ y,z) * (((x \ y) \ 1) * ((x \ y) * (y \ x))) = (y * K(z,x \ y)) \ x. [hyper(236,a,10324,a,b,21286,a(flip)),flip(a)]. 21289 (x * K(y,z \ x)) \ z = K(z \ x,y) * (x \ z). [para(2298(a,1),21287(a,1,2)),flip(a)]. 21290 (x * K(y,z \ x)) \ z = (x \ z) * K(z \ x,y). [hyper(236,a,5865,a(flip),b,21289,a)]. 21291 (x \ (x / y)) * K((x / y) \ x,z) = (x * K(z,y)) \ (x / y). [para(65(a,1),21290(a,1,1,2,2)),flip(a)]. 21292 (x * K(y,z)) \ (x / z) = (x \ (x / z)) * K(z,y). [para(65(a,1),21291(a,1,2,1)),flip(a)]. 21294 L(x,y,((z \ (z / u)) * K(u,w)) \ (z / u)) = L(x,y,T(z * K(w,u),z / u)). [para(21292(a,1),13499(a,1,3,1))]. 21295 L(x,y,K(z,u) * ((w \ (w / u)) \ (w / u))) = L(x,y,T(w * K(z,u),w / u)). [para(10487(a,1),21294(a,1,3))]. 21296 L(x,y,K(z,u) * T(w,w \ (w / u))) = L(x,y,T(w * K(z,u),w / u)). [para(120(a,2),21295(a,1,3,2))]. 21297 L(x,y,T(z * K(u,w),z / w)) = L(x,y,K(u,w) * T(z,w \ 1)). [para(4931(a,1),21296(a,1,3,2)),flip(a)]. 21299 L(x,y,T(K(z,u) * w,u \ 1)) = L(x,y,T(w * K(z,u),w / u)). [para(16482(a,2),21297(a,2,3)),flip(a)]. 21300 L(x,y,T(K(z,u) * w,u \ 1)) = L(x,y,T(w * K(z,u),u \ w)). [hyper(236,a,17746,a(flip),b,21299,a)]. 21301 L(x,y,T(K(z,u) * w,u \ 1)) = L(x,y,u * (w / T(u,z))). [hyper(236,a,20719,a(flip),b,21300,a)]. 21302 L(x,y,K(z,u) * (w * K(w * u,u \ 1))) = L(x,y,u * (w / T(u,z))). [hyper(236,a,18959,a,b,21301,a(flip)),flip(a)]. 21303 L(x,y,((z \ K(z,u)) \ w) * (z \ 1)) = L(x,y,z * (w / T(z,u))). [para(17861(a,1),21302(a,1,3))]. 21304 L(x \ L(x,K(y,z),u),x,z * (u / T(z,y))) = a(x,K(y,z),((z \ 1) \ u) * (z \ 1)). [hyper(236,a,21101,a(flip),b,21303,a(flip))]. 21305 L(x \ L(x,K(y,z),u),x,z * (u / T(z,y))) = a(x,K(y,z),T(u,z \ 1)). [hyper(236,a,13653,a(flip),b,21304,a)]. 21306 (x \ K(y,L(x \ 1,(x \ 1) \ 1,z) \ u)) * T(L(x \ 1,(x \ 1) \ 1,z) \ u,y) = u * (L(x \ 1,x,z) \ (x \ 1)). [para(6999(a,1),21054(a,2,2,1))]. 21307 (x \ K(y,L(x \ 1,(x \ 1) \ 1,z) \ u)) * T(L(x \ 1,(x \ 1) \ 1,z) \ u,y) = u * (x \ (L(1 / x,x,z) \ 1)). [para(6158(a,1),21306(a,2,2))]. 21308 K(x,((K(y,y \ z) * (y * u)) \ K((y * u) \ y,((y * u) \ y) \ ((y \ z) \ z))) \ w) = K(x,(T(((y \ z) \ z) * u,y) \ 1) \ w). [para(14466(a,1),20558(a,1,2,1,1))]. 21309 K(x,((T(y,y \ z) * u) \ K((y * u) \ y,((y * u) \ y) \ ((y \ z) \ z))) \ w) = K(x,(T(((y \ z) \ z) * u,y) \ 1) \ w). [para(4906(a,1),21308(a,1,2,1,1))]. 21310 K(x,((T(y,y \ z) * u) \ K((y * u) \ y,((y * u) \ y) \ T(y,z))) \ w) = K(x,(T(((y \ z) \ z) * u,y) \ 1) \ w). [para(13089(a,1),21309(a,1,2,1,2))]. 21311 K(x,((T(y,y \ z) * u) \ K((y * u) \ y,T(((y * u) \ y) \ y,z))) \ w) = K(x,(T(((y \ z) \ z) * u,y) \ 1) \ w). [para(11187(a,1),21310(a,1,2,1,2))]. 21312 K(x,((T(y,y \ z) * u) \ K((y * u) \ y,T(T(y * u,z),y))) \ w) = K(x,(T(((y \ z) \ z) * u,y) \ 1) \ w). [para(7796(a,1),21311(a,1,2,1,2))]. 21313 K(x,((T(y,y \ z) * u) \ K((y * u) \ y,T(u * y,z))) \ w) = K(x,(T(((y \ z) \ z) * u,y) \ 1) \ w). [para(13042(a,1),21312(a,1,2,1,2))]. 21314 K(x,((T(y,y \ z) * u) \ K(u \ 1,T(u * y,z))) \ w) = K(x,(T(((y \ z) \ z) * u,y) \ 1) \ w). [para(6294(a,1),21313(a,1,2,1,2))]. 21315 K(x,(T(y,y \ z) * u) * (w * K(T(u * y,z),u \ 1))) = K(x,(T(((y \ z) \ z) * u,y) \ 1) \ w). [hyper(19461,a,21314,a)]. 21317 K(x,(T(y,y \ z) * u) * (w * K(u * y,T(u \ 1,z)))) = K(x,(T(((y \ z) \ z) * u,y) \ 1) \ w). [para(7260(a,1),21315(a,1,2,2,2))]. 21318 K(x,(T(((y \ z) \ z) * u,y) \ 1) \ w) = K(x,(T(y,y \ z) * u) * (w * K(u * y,u \ 1))). [hyper(16765,a,21317,a),flip(a)]. 21320 a(x / T((x \ y) \ 1,y),(x \ y) \ 1,((x \ y) \ 1) \ 1) \ z = (L((x \ y) \ 1,x \ y,x) * (1 / ((x \ y) \ 1))) * z. [para(6999(a,1),21281(a,2,1,1))]. 21321 a(x / T((x \ y) \ 1,y),(x \ y) \ 1,((x \ y) \ 1) \ 1) \ z = ((y \ x) * (1 / ((x \ y) \ 1))) * z. [para(347(a,1),21320(a,2,1,1))]. 21322 a(x / T((x \ y) \ 1,y),(x \ y) \ 1,((x \ y) \ 1) \ 1) \ z = ((y \ x) * (x \ y)) * z. [para(62(a,1),21321(a,2,1,2))]. 21324 ((x \ y) \ (1 / (y \ x))) \ z = ((x \ y) * (y \ x)) * z. [para(21226(a,1),21322(a,1,1))]. 21325 ((x \ y) \ (1 / (y \ x))) * z = ((x \ y) * (y \ x)) \ z. [hyper(305,a,21324,a),flip(a)]. 21326 x \ (((y \ z) * (z \ y)) \ x) = (y \ z) \ (1 / (z \ y)). [hyper(18,a,14910,a,b,21325,a),flip(a)]. 21327 ((x \ (x / y)) * ((x / y) \ x)) \ z = (y \ ((x \ (x / y)) \ 1)) * z. [para(6981(a,1),21325(a,1,1)),flip(a)]. 21328 x * ((y \ z) \ (1 / (z \ y))) = ((y \ z) * (z \ y)) \ x. [para(21326(a,1),14(a,1,2))]. 21330 ((x \ (x * y)) * ((x * y) \ x)) \ z = z * (y \ (1 / ((x * y) \ x))). [para(13(a,1),21328(a,1,2,1)),flip(a)]. 21331 (((x * y) \ x) * (x \ (x * y))) \ z = z * (((x * y) \ x) \ (1 / y)). [para(13(a,1),21328(a,1,2,2,2)),flip(a)]. 21332 (((x * y) \ x) * (x \ (x * y))) \ z = z * (y \ (((x * y) \ x) \ 1)). [para(6979(a,1),21328(a,1,2)),flip(a)]. 21333 (x \ ((y \ (y / x)) \ 1)) * z = ((y \ (y / x)) * x) \ z. [para(65(a,1),21327(a,1,1,2)),flip(a)]. 21334 ((x \ (x / y)) * y) \ 1 = y \ ((x \ (x / y)) \ 1). [hyper(84,a,21333,a),flip(a)]. 21336 (x \ (x / y)) \ (1 / ((x / y) \ x)) = ((x \ (x / y)) * y) \ 1. [hyper(236,a,6981,a,b,21334,a),flip(a)]. 21337 (x \ (x / (y \ 1))) \ (1 / ((x / (y \ 1)) \ x)) = (y \ (x \ (x / (y \ 1)))) \ 1. [para(11340(a,1),21336(a,2,1))]. 21338 x * (y \ (1 / ((z * y) \ z))) = (y * ((z * y) \ z)) \ x. [para(13(a,1),21330(a,1,1,1)),flip(a)]. 21339 ((x \ (x * (y \ 1))) * ((x * (y \ 1)) \ x)) \ z = z * ((y \ 1) \ (((x * (1 / y)) \ x) \ 1)). [para(2777(a,1),21330(a,2,2,2))]. 21340 (x \ (1 / ((y * x) \ y))) * z = (x * ((y * x) \ y)) \ z. [hyper(236,a,14909,a,b,21338,a(flip)),flip(a)]. 21341 R(x,y * ((z * y) \ z),y \ (((z * y) \ z) \ 1)) = (y * ((z * y) \ z)) \ ((y * ((z * y) \ z)) * x). [hyper(236,a,15206,a(flip),b,21338,a(flip)),flip(a)]. 21343 (((x * (y \ 1)) \ x) * (x \ (x * (y \ 1)))) \ z = z * (((x * (y \ 1)) \ x) \ y). [para(62(a,1),21331(a,2,2,2))]. 21344 x * (y \ (((z * y) \ z) \ 1)) = (((z * y) \ z) * y) \ x. [para(13(a,1),21332(a,1,1,2)),flip(a)]. 21345 (x \ (((y * x) \ y) \ 1)) * z = (((y * x) \ y) * x) \ z. [hyper(236,a,14906,a,b,21344,a(flip)),flip(a)]. 21346 (x \ (x / ((y \ 1) \ 1))) \ (1 / ((x / ((y \ 1) \ 1)) \ x)) = ((x \ (x / y)) * y) \ 1. [para(11905(a,1),21337(a,2,1))]. 21347 (((x * (y \ 1)) \ x) * (y \ 1)) \ z = z * (((x * (y \ 1)) \ x) \ y). [para(13(a,1),21343(a,1,1,2))]. 21349 (x \ ((y * (x \ 1)) \ y)) \ z = z * (((y * (x \ 1)) \ y) \ x). [para(1069(a,1),21347(a,1,1))]. 21350 ((x * (y \ 1)) \ x) \ y = (x / y) \ (x * (y \ 1)). [hyper(70,a,21349,a(flip),b,19060,a(flip)),flip(a)]. 21352 (x \ ((y * (x \ 1)) \ y)) \ z = z * ((y / x) \ (y * (x \ 1))). [para(21350(a,1),21349(a,2,2))]. 21353 K(x,x \ 1) * ((y / x) \ (y * (x \ 1))) = (x \ ((y * (1 / x)) \ y)) \ 1. [hyper(236,a,14543,a(flip),b,21352,a(flip))]. 21354 (x / y) \ (x * (y \ K(y,y \ 1))) = (y \ ((x * (1 / y)) \ x)) \ 1. [hyper(236,a,4687,a(flip),b,21353,a(flip)),flip(a)]. 21355 (x \ ((y * (1 / x)) \ y)) \ 1 = (y / x) \ (y * (1 / x)). [para(1771(a,1),21354(a,1,2,2)),flip(a)]. 21356 (x \ (x / ((y \ 1) \ 1))) \ (1 / ((x / ((y \ 1) \ 1)) \ x)) = y \ ((x \ (x / y)) \ 1). [hyper(236,a,21334,a(flip),b,21346,a)]. 21357 (x \ (x / ((y \ 1) \ 1))) \ (1 / ((y \ 1) \ 1)) = y \ ((x \ (x / y)) \ 1). [para(65(a,1),21356(a,1,2,2))]. 21358 (x \ (x / ((y \ 1) \ 1))) \ (y \ 1) = y \ ((x \ (x / y)) \ 1). [para(62(a,1),21357(a,1,2))]. 21361 R(x,y * ((z * y) \ z),y \ (((z * y) \ z) \ 1)) = x. [hyper(236,a,13,a(flip),b,21341,a)]. 21363 (x * (y * ((z * y) \ z))) \ x = y \ (1 / ((z * y) \ z)). [para(21361(a,1),15205(a,1,2))]. 21364 x / (y \ (1 / ((z * y) \ z))) = x * (y * ((z * y) \ z)). [para(21363(a,1),62(a,1,2))]. 21365 (x * ((y \ 1) * ((z * (y \ 1)) \ z))) \ x = (y \ 1) \ (((z * (1 / y)) \ z) \ 1). [para(2777(a,1),21363(a,2,2))]. 21366 (x \ (1 / ((y * x) \ y))) \ z = z * (x * ((y * x) \ y)). [hyper(236,a,14911,a(flip),b,21364,a(flip)),flip(a)]. 21367 (x \ 1) \ (((y * (1 / x)) \ y) \ 1) = (z * (x \ ((y * (1 / x)) \ y))) \ z. [para(4717(a,1),21365(a,1,1,2)),flip(a)]. 21368 (x \ 1) \ (((y * (1 / x)) \ y) \ 1) = ((y * (1 / x)) \ y) \ x. [hyper(236,a,293,a(flip),b,21367,a)]. 21369 ((x \ (x * (y \ 1))) * ((x * (y \ 1)) \ x)) \ z = z * (((x * (1 / y)) \ x) \ y). [para(21368(a,1),21339(a,2,2))]. 21370 ((x \ 1) * ((y * (x \ 1)) \ y)) \ z = z * (((y * (1 / x)) \ y) \ x). [para(13(a,1),21369(a,1,1,1))]. 21372 (x \ ((y * (1 / x)) \ y)) \ z = z * (((y * (1 / x)) \ y) \ x). [para(4717(a,1),21370(a,1,1))]. 21373 ((x * (1 / y)) \ x) \ y = (x / y) \ (x * (1 / y)). [hyper(70,a,21372,a(flip),b,21355,a(flip)),flip(a)]. 21375 (x / (1 / y)) \ (x * (1 / (1 / y))) = y \ (1 / ((x * y) \ x)). [hyper(236,a,6983,a(flip),b,21373,a(flip))]. 21376 L(x,x \ 1,y) \ x = (y / x) \ (y * (1 / x)). [para(2767(a,2),21373(a,1,1))]. 21377 (x / y) \ (x * (1 / y)) = a(x,y \ 1,y). [hyper(236,a,21058,a(flip),b,21376,a(flip))]. 21378 a(x,(1 / y) \ 1,1 / y) = y \ (1 / ((x * y) \ x)). [hyper(236,a,21377,a(flip),b,21375,a(flip)),flip(a)]. 21379 x \ (1 / ((y * x) \ y)) = a(y,x,x \ 1). [hyper(10971,a,21378,a),flip(a)]. 21380 a(x,x \ y,(x \ y) \ 1) = (x \ y) \ (1 / (y \ x)). [para(14(a,1),21379(a,1,2,2,1)),flip(a)]. 21381 x \ (L(1 / x,x,y) \ 1) = a(y,x,x \ 1). [para(2701(a,2),21379(a,1,2))]. 21382 (x \ 1) \ a(y,x,x \ 1) = L(x \ 1,x,y) \ 1. [para(21379(a,1),6984(a,1,2))]. 21383 (x * ((y * x) \ y)) \ z = a(y,x,x \ 1) * z. [para(21379(a,1),21340(a,1,1)),flip(a)]. 21384 x * (y * ((z * y) \ z)) = a(z,y,y \ 1) \ x. [para(21379(a,1),21366(a,1,1)),flip(a)]. 21385 a(x,y,y \ 1) * (L(1 / y,y,x) * z) = L(y \ z,y,(x * y) \ x). [hyper(236,a,12110,a(flip),b,21383,a(flip))]. 21386 K(x,y \ (((z * y) \ z) \ u)) = K(x,a(z,y,y \ 1) * u). [para(21383(a,1),15254(a,1,2)),flip(a)]. 21387 a(x,y,y \ 1) \ (1 / y) = L(1 / y,y,x). [hyper(236,a,854,a(flip),b,21384,a(flip))]. 21388 ((x * a(y,z,z \ 1)) * L(1 / z,z,y)) / (1 / z) = R(x,a(y,z,z \ 1),a(y,z,z \ 1) \ (1 / z)). [para(21387(a,1),112(a,1,1,2))]. 21389 R(x / a(y,z,z \ 1),a(y,z,z \ 1),L(1 / z,z,y)) = (x * (a(y,z,z \ 1) \ (1 / z))) / (1 / z). [para(21387(a,1),484(a,1,3))]. 21390 K(x,y / ((a(z,u,u \ 1) / T(u \ 1,a(z,u,u \ 1))) \ w)) = K(x,y / ((L(u \ 1,u,z) \ 1) \ w)). [para(21382(a,1),21173(a,2,2,2,1))]. 21391 (x \ y) \ (1 / (y \ x)) = x \ (y * ((x \ y) \ 1)). [hyper(236,a,687,a(flip),b,21380,a(flip))]. 21392 (x * y) \ (x * (((x * y) \ x) \ 1)) = y \ (((x * y) \ x) \ 1). [hyper(236,a,6979,a(flip),b,21391,a(flip))]. 21393 (x \ (y * ((x \ y) \ 1))) * z = ((x \ y) * (y \ x)) \ z. [para(21391(a,1),21325(a,1,1))]. 21394 (((x \ y) * (y \ x)) \ z) \ z = (y * ((x \ y) \ 1)) \ x. [para(21393(a,1),19037(a,1,1))]. 21395 (x * ((y \ x) \ 1)) \ y = (y \ x) * (x \ y). [hyper(18254,a,21394,a)]. 21396 ((x \ y) \ y) * (y \ (x \ y)) = x \ ((y * (x \ 1)) \ y). [hyper(236,a,20999,a(flip),b,21395,a(flip))]. 21397 x \ ((y * (x \ 1)) \ y) = x * (y \ (y / x)). [hyper(236,a,7054,a(flip),b,21396,a(flip))]. 21398 (x * (y \ 1)) \ (x / y) = y * (x \ (x / y)). [hyper(236,a,19052,a,b,21397,a(flip)),flip(a)]. 21399 K(x,(((y * z) \ y) * z) \ u) = K(x,a(y,z,z \ 1) * u). [hyper(236,a,15006,a,b,21386,a(flip)),flip(a)]. 21400 ((x * a(y,z,z \ 1)) / (1 / z)) * L(1 / z,z,y) = R(x,a(y,z,z \ 1),a(y,z,z \ 1) \ (1 / z)). [hyper(1672,a,21388,a)]. 21401 R(a(x,y,y \ 1) \ z,a(x,y,y \ 1),L(1 / y,y,x)) = (z * (a(x,y,y \ 1) \ (1 / y))) / (1 / y). [para(13896(a,1),21389(a,1,1))]. 21402 K(x,y / ((a(z,u,u \ 1) / (u \ 1)) \ w)) = K(x,y / ((L(u \ 1,u,z) \ 1) \ w)). [para(13881(a,1),21390(a,1,2,2,1,2))]. 21405 K(x,L(T((y * (z \ 1)) * u,(y / z) * (y * (z \ 1))),(y * (z \ 1)) \ 1,y / z)) = K(x,((y / z) * u) / ((y * (z \ 1)) \ ((y / z) * 1))). [hyper(16413,a,21237,a)]. 21406 K(x,L(T((y * (z \ 1)) * u,(y / z) * (y * (z \ 1))),(y * (z \ 1)) \ 1,z \ y)) = K(x,((y / z) * u) / ((y * (z \ 1)) \ ((y / z) * 1))). [hyper(17848,a,21405,a)]. 21407 K(x,L(T((y * (z \ 1)) * u,(y / z) * (y * (z \ 1))),1,z \ y)) = K(x,((y / z) * u) / ((y * (z \ 1)) \ ((y / z) * 1))). [hyper(236,a,20028,a(flip),b,21406,a(flip)),flip(a)]. 21408 K(x,((y / z) * u) / ((y * (z \ 1)) \ ((y / z) * 1))) = K(x,T((y * (z \ 1)) * u,(y / z) * (y * (z \ 1)))). [para(325(a,1),21407(a,1,2)),flip(a)]. 21410 (((x * T(y,z)) \ T(y,z)) * K(x * T(y,z),x \ 1)) * (u / (T(y,z) / (x * T(y,z)))) = ((x * K(y,z)) \ K(y,z)) * (u / (((x * T(y,z)) / y) \ K(y,z))). [para(6194(a,1),19915(a,1,1,1)),flip(a)]. 21411 (((x * T(y,z)) \ T(y,z)) * K(x * T(y,z),x \ 1)) * (u / (T(y,z) / (x * T(y,z)))) = T(x \ 1,K(y,z)) * (u / (((x * T(y,z)) / y) \ K(y,z))). [para(14609(a,1),21410(a,2,1))]. 21412 (((x * T(y,z)) \ T(y,z)) * K(x * T(y,z),x \ 1)) * (u / (T(y,z) / (x * T(y,z)))) = T(x \ 1,K(y,z)) * (u / ((x * K(y,z)) \ K(y,z))). [para(6194(a,1),21411(a,2,2,2,1))]. 21413 (((x * T(y,z)) \ T(y,z)) * K(x * T(y,z),x \ 1)) * (u / (T(y,z) / (x * T(y,z)))) = T(x \ 1,K(y,z)) * (u / T(x \ 1,K(y,z))). [para(14609(a,1),21412(a,2,2,2))]. 21414 (((x * T(y,z)) \ T(y,z)) * K(x * T(y,z),x \ 1)) * (u / (T(y,z) / (x * T(y,z)))) = (x \ 1) * (u / (x \ 1)). [hyper(236,a,16320,a(flip),b,21413,a)]. 21416 (x / (y * x)) * (z / (T(x,u) / (y * T(x,u)))) = (y \ 1) * (z / (y \ 1)). [para(14485(a,1),21414(a,1,1))]. 21417 (x / (y * x)) * (z / (x / (y * x))) = (y \ 1) * (z / (y \ 1)). [para(14461(a,1),21416(a,1,2,2))]. 21419 R(x \ 1,x,y) * (z / R(x \ 1,x,y)) = (x \ 1) * (z / (x \ 1)). [hyper(236,a,17426,a,b,21417,a(flip)),flip(a)]. 21422 (((x \ K(x,y)) \ a(z,(x \ K(x,y)) \ 1,x \ K(x,y))) * K(x,y)) * (x \ 1) = K((x \ 1) \ K(y,x),x \ K(x,y)) * a(z,(x \ K(x,y)) \ 1,x \ K(x,y)). [para(5790(a,1),20806(a,2,1,1))]. 21423 (x * y) * L(R(y,z \ 1,z) \ 1,y,x) = x * ((z \ L(z,z \ 1,y)) * K(y \ 1,z \ L(z,z \ 1,y))). [para(13737(a,1),21061(a,1,2))]. 21424 x * ((y \ L(y,y \ 1,z)) * K(z \ 1,y \ L(y,y \ 1,z))) = x * (z * (R(z,y \ 1,y) \ 1)). [hyper(219,a,21423,a),flip(a)]. 21426 x * ((y \ L(y,y \ 1,z)) * K(z \ 1,y \ L(y,y \ 1,z))) = x * (R(z,y \ 1,y) \ z). [para(1504(a,1),21424(a,2,2))]. 21427 x * ((y \ L(y,y \ 1,z)) * K(z \ 1,y \ L(y,y \ 1,z))) = a(z,y \ 1,y) \ x. [hyper(236,a,18872,a(flip),b,21426,a)]. 21428 x * ((y \ L(y,y \ 1,z)) * 1) = a(z,y \ 1,y) \ x. [para(13734(a,1),21427(a,1,2,2))]. 21429 x * (y \ L(y,y \ 1,z)) = a(z,y \ 1,y) \ x. [para(12(a,1),21428(a,1,2))]. 21431 (a(x,y \ 1,y) \ (1 / y)) \ (y \ 1) = a(y \ x,y,y \ 1). [para(21429(a,1),19031(a,1,1))]. 21432 L(x \ 1,x,y * (x \ 1)) \ (x \ 1) = a(x \ y,x,x \ 1). [para(19015(a,2),21431(a,1,1))]. 21433 x \ (L(1 / x,x,y * (x \ 1)) \ 1) = a(x \ y,x,x \ 1). [hyper(236,a,6158,a(flip),b,21432,a(flip)),flip(a)]. 21434 (((x \ K(x,y)) \ a(z,(x \ K(x,y)) \ 1,x \ K(x,y))) * K(x,y)) * (x \ 1) = K(x * K(y,x),x \ K(x,y)) * a(z,(x \ K(x,y)) \ 1,x \ K(x,y)). [para(14050(a,1),21422(a,2,1))]. 21435 (((x \ K(x,y)) \ a(z,(x \ K(x,y)) \ 1,x \ K(x,y))) * K(x,y)) * (x \ 1) = K(x,x \ 1) * a(z,(x \ K(x,y)) \ 1,x \ K(x,y)). [para(16269(a,1),21434(a,2,1))]. 21436 (((x \ K(x,y)) \ a(z,(x \ K(x,y)) \ 1,x \ K(x,y))) * K(x,y)) * (x \ 1) = K(x,x \ 1) * a(z,K(y,x) * x,x \ K(x,y)). [para(14540(a,1),21435(a,2,2))]. 21438 (((x \ K(x,y)) \ a(z,(x \ K(x,y)) \ 1,x \ K(x,y))) * K(x,y)) * (x \ 1) = K(x,x \ 1) * a(z,T(x,y \ x),x \ K(x,y)). [para(14999(a,2),21436(a,2,2))]. 21439 (((x \ K(x,y)) \ a(z,(x \ K(x,y)) \ 1,x \ K(x,y))) * K(x,y)) * (x \ 1) = K(x,x \ 1) * a(z,x,x \ 1). [para(15039(a,1),21438(a,2,2))]. 21440 (((x \ K(x,y)) \ a(z,(x \ K(x,y)) \ 1,x \ K(x,y))) * K(x,y)) * (x \ 1) = x * (a(z,x,x \ 1) / x). [hyper(236,a,20125,a(flip),b,21439,a)]. 21442 (((x \ K(x,y)) \ a(z,K(y,x) * x,x \ K(x,y))) * K(x,y)) * (x \ 1) = x * (a(z,x,x \ 1) / x). [para(14540(a,1),21440(a,1,1,1,2))]. 21443 (((x \ K(x,y)) \ a(z,T(x,y \ x),x \ K(x,y))) * K(x,y)) * (x \ 1) = x * (a(z,x,x \ 1) / x). [para(14999(a,2),21442(a,1,1,1,2))]. 21444 (((x \ K(x,y)) \ a(z,x,x \ 1)) * K(x,y)) * (x \ 1) = x * (a(z,x,x \ 1) / x). [para(15039(a,1),21443(a,1,1,1,2))]. 21445 ((x \ 1) \ a(y,x,x \ 1)) * (x \ 1) = x * (a(y,x,x \ 1) / x). [para(4690(a,1),21444(a,1,1))]. 21447 K(x \ 1,T(x * a((x \ 1) \ y,x \ 1,x),z)) * T(a((x \ 1) \ y,x \ 1,(x \ 1) \ 1),z) = T((x \ 1) * (L(x \ 1,(x \ 1) \ 1,y) \ 1),z). [para(11929(a,1),20154(a,1,1,2,1,2))]. 21448 K(x \ 1,T(x,y)) * T(a((x \ 1) \ z,x \ 1,(x \ 1) \ 1),y) = T((x \ 1) * (L(x \ 1,(x \ 1) \ 1,z) \ 1),y). [para(20276(a,1),21447(a,1,1))]. 21449 K(x \ 1,x) * T(a((x \ 1) \ y,x \ 1,(x \ 1) \ 1),z) = T((x \ 1) * (L(x \ 1,(x \ 1) \ 1,y) \ 1),z). [para(3239(a,1),21448(a,1,1))]. 21452 T((x \ 1) * (L(x \ 1,(x \ 1) \ 1,y) \ 1),z) = K(x \ 1,x) * T(a((x \ 1) \ y,x \ 1,x),z). [para(11929(a,1),21449(a,1,2,1)),flip(a)]. 21453 T((x \ 1) * (L(x \ 1,(x \ 1) \ 1,y) \ 1),z) = K(x \ 1,x) * a((x \ 1) \ y,x \ 1,x). [para(13884(a,1),21452(a,2,2))]. 21454 T((x \ 1) * (L(x \ 1,(x \ 1) \ 1,y) \ 1),z) = (x \ a((x \ 1) \ y,x \ 1,x)) * x. [hyper(236,a,20805,a(flip),b,21453,a)]. 21457 T((x \ 1) * (L(x \ 1,x,y) \ 1),z) = (x \ a((x \ 1) \ y,x \ 1,x)) * x. [para(6999(a,1),21454(a,1,1,2,1))]. 21458 T(L(x \ 1,x,y) \ (x \ 1),z) = (x \ a((x \ 1) \ y,x \ 1,x)) * x. [para(1211(a,1),21457(a,1,1))]. 21459 (x \ a((x \ 1) \ y,x \ 1,x)) * x = x \ (L(1 / x,x,y) \ 1). [hyper(236,a,15219,a(flip),b,21458,a(flip))]. 21460 x \ (L(1 / x,x,y * (x \ 1)) \ 1) = (x \ a(y,x \ 1,x)) * x. [para(14785(a,1),21459(a,1,1,2)),flip(a)]. 21461 (x \ (L(1 / x,x,y) \ 1)) * z = (x * L(x \ 1,x,y)) \ z. [para(21459(a,1),20809(a,1,1))]. 21462 x * (y \ (L(1 / y,y,z) \ 1)) = (y * L(y \ 1,y,z)) \ x. [hyper(236,a,15216,a(flip),b,21461,a(flip)),flip(a)]. 21463 (x \ K(y,L(x \ 1,(x \ 1) \ 1,z) \ u)) * T(L(x \ 1,(x \ 1) \ 1,z) \ u,y) = (x * L(x \ 1,x,z)) \ u. [hyper(236,a,21307,a,b,21462,a(flip)),flip(a)]. 21464 (x * L(x \ 1,x,y)) \ z = z * a(y,x,x \ 1). [para(21381(a,1),21462(a,1,2)),flip(a)]. 21465 (x \ a(y,x \ 1,x)) * x = a(x \ y,x,x \ 1). [hyper(236,a,21433,a(flip),b,21460,a(flip))]. 21466 x \ (a(y,x \ 1,x) / (1 / x)) = (x \ a(y,x \ 1,x)) * x. [para(20236(a,1),21460(a,1,2))]. 21467 a(x \ ((x \ 1) \ y),x,x \ 1) = x \ (L(1 / x,x,y) \ 1). [hyper(236,a,21459,a(flip),b,21465,a(flip))]. 21468 (x \ 1) * T(((x \ 1) \ a(y,(x \ 1) \ 1,x \ 1)) * (x \ 1),z) = x \ T(x * (a(y,(x \ 1) \ 1,x \ 1) / (1 / (x \ 1))),z). [para(21466(a,1),877(a,1,2,1))]. 21469 (x \ (x / (y \ 1))) \ y = y \ (L(1 / y,y,x) \ 1). [hyper(236,a,20156,a(flip),b,21467,a(flip)),flip(a)]. 21470 (x \ (x / (y \ 1))) \ y = a(x,y,y \ 1). [hyper(236,a,21381,a(flip),b,21469,a)]. 21471 a(x,y \ 1,(y \ 1) \ 1) = y \ ((x \ (x / y)) \ 1). [hyper(236,a,21358,a(flip),b,21470,a(flip))]. 21472 x \ ((y \ (y / x)) \ 1) = a(y,x \ 1,x). [hyper(236,a,18762,a(flip),b,21471,a(flip))]. 21473 ((x \ (x / y)) * y) \ z = a(x,y \ 1,y) * z. [para(21472(a,1),21333(a,1,1)),flip(a)]. 21474 K(x,y \ ((z \ (z / y)) \ u)) = K(x,a(z,y \ 1,y) * u). [para(21473(a,1),15008(a,1,2)),flip(a)]. 21475 K(x,(y * (z \ (z / y))) \ u) = K(x,a(z,y \ 1,y) * u). [hyper(236,a,20775,a,b,21474,a(flip)),flip(a)]. 21476 (x \ K(y,L(x \ 1,x,z) \ u)) * T(L(x \ 1,(x \ 1) \ 1,z) \ u,y) = (x * L(x \ 1,x,z)) \ u. [para(6999(a,1),21463(a,1,1,2,2,1))]. 21477 (x \ K(y,L(x \ 1,x,z) \ u)) * T(L(x \ 1,x,z) \ u,y) = (x * L(x \ 1,x,z)) \ u. [para(6999(a,1),21476(a,1,2,1,1))]. 21478 (x \ 1) * (L(x \ 1,x,y) \ z) = (x * L(x \ 1,x,y)) \ z. [hyper(236,a,14102,a(flip),b,21477,a(flip)),flip(a)]. 21479 ((x * L(x \ 1,x,y)) \ z) / (1 / x) = z / L(1 / x,x,y). [para(21478(a,1),6990(a,1,1))]. 21480 (x * a(y,z,z \ 1)) / (1 / z) = x / L(1 / z,z,y). [para(21464(a,1),21479(a,1,1))]. 21481 R(x,a(y,z,z \ 1),a(y,z,z \ 1) \ (1 / z)) = (x / L(1 / z,z,y)) * L(1 / z,z,y). [para(21480(a,1),21400(a,1,1)),flip(a)]. 21482 R(x,a(y,z,z \ 1),a(y,z,z \ 1) \ (1 / z)) = x. [hyper(236,a,16,a(flip),b,21481,a)]. 21484 R(x,a(y,z,z \ 1),L(1 / z,z,y)) = x. [para(21387(a,1),21482(a,1,3))]. 21485 (x * (a(y,z,z \ 1) \ (1 / z))) / (1 / z) = a(y,z,z \ 1) \ x. [hyper(236,a,21401,a(flip),b,21484,a(flip)),flip(a)]. 21487 (x * L(1 / y,y,z)) / (1 / y) = a(z,y,y \ 1) \ x. [para(21387(a,1),21485(a,1,1,2))]. 21488 (x / (1 / y)) * L(1 / y,y,z) = a(z,y,y \ 1) \ x. [hyper(1672,a,21487,a)]. 21489 (x / (y \ 1)) * L(y \ 1,y,z) = a(z,y,y \ 1) \ x. [hyper(11379,a,21488,a)]. 21490 (x / (y \ 1)) * ((z * y) \ z) = a(z,y,y \ 1) \ x. [hyper(236,a,348,a(flip),b,21489,a(flip)),flip(a)]. 21491 a(x,y,y \ 1) \ ((y \ 1) * z) = L(y \ 1,y,x) * z. [hyper(6732,a,21490,a),flip(a)]. 21492 a(x,y,y \ 1) * (L(y \ 1,y,x) * z) = (y \ 1) * z. [para(21491(a,1),14(a,1,2))]. 21493 (L(x \ 1,x,y) * z) * a(y,x,x \ 1) = (x \ 1) * z. [para(21491(a,1),13895(a,1,1))]. 21494 a(x,y,y \ 1) * (L(y \ 1,y,x) * (T(y,y \ 1) * z)) = (1 / y) * (y * z). [hyper(236,a,5781,a(flip),b,21492,a)]. 21495 (((x * y) \ x) * z) * a(x,y,y \ 1) = (y \ 1) * z. [para(158(a,1),21493(a,1,1,1))]. 21496 (x * ((y * z) \ y)) * a(y,z,z \ 1) = (z \ 1) * T(x,z \ 1). [para(6377(a,1),21495(a,1,1))]. 21497 K(x,(((y * L(z,u,z)) \ y) * w) * a(y,L(z,u,z),L(z,u,z) \ 1)) = K(x,(z \ 1) * w). [para(21495(a,2),13021(a,1,2))]. 21498 (x * ((y * z) \ y)) * a(y,z,z \ 1) = x * (z \ 1). [hyper(236,a,119,a(flip),b,21496,a)]. 21499 K(x,(y * ((z * L(u,w,u)) \ z)) * a(z,L(u,w,u),L(u,w,u) \ 1)) = K(x,y * (u \ 1)). [para(21498(a,2),13081(a,1,2))]. 21500 a(x,y,y \ 1) * (L(1 / y,y,x) * (y * z)) = (1 / y) * (y * z). [para(11702(a,1),21494(a,1,2))]. 21501 L(x \ (x * y),x,(z * x) \ z) = (1 / x) * (x * y). [hyper(236,a,21385,a(flip),b,21500,a(flip)),flip(a)]. 21502 L(x,y,(z * y) \ z) = (1 / y) * (y * x). [para(13(a,1),21501(a,1,1))]. 21503 L(x,y,(z * y) \ z) = L(x,y,y \ 1). [hyper(236,a,2923,a(flip),b,21502,a)]. 21505 L(x,y,(z * y) \ z) != u | L(x,y,y \ 1) = u. [para(21502(a,2),2932(a,1))]. 21506 L(x,y,y \ 1) \ x = (x / (y * x)) * y. [para(21503(a,1),13559(a,1,1))]. 21507 (x / (y * x)) * y = a(y \ 1,y,x). [hyper(3684,a,21506,a),flip(a)]. 21509 L(x \ ((y / (x * y)) \ z),x,y / (x * y)) = a(x \ 1,x,y) \ z. [para(21507(a,1),227(a,2,1))]. 21511 L(x \ ((y / (x * y)) \ z),x,(y * x) \ y) = a(x \ 1,x,y) \ z. [hyper(236,a,13558,a(flip),b,21509,a(flip)),flip(a)]. 21512 L(x \ ((y / (x * y)) \ z),x,x \ 1) = a(x \ 1,x,y) \ z. [hyper(21505,a,21511,a)]. 21513 (1 / x) * ((y / (x * y)) \ z) = a(x \ 1,x,y) \ z. [hyper(2928,a,21512,a)]. 21515 (x \ 1) * (R(x \ 1,x,y) \ z) = a(x \ 1,x,y) \ z. [hyper(236,a,4733,a,b,21513,a(flip)),flip(a)]. 21516 (a(x \ 1,x,y) \ z) / (x \ 1) = z / R(x \ 1,x,y). [para(21513(a,1),11870(a,1,1))]. 21517 x \ (x * (y / R(z \ 1,z,u))) = (a(z \ 1,z,u) \ y) / (z \ 1). [hyper(236,a,13,a,b,21516,a),flip(a)]. 21518 (a(x \ 1,x,y) \ z) / (x \ 1) != u | z / R(x \ 1,x,y) = u. [para(21517(a,1),283(a,1)),flip(b)]. 21519 R(x \ 1,x,y) \ ((x \ 1) * (z / (x \ 1))) = (a(x \ 1,x,y) \ z) / (x \ 1). [para(21419(a,1),21517(a,1,2))]. 21520 (a(x \ 1,x,y) \ (z * (x \ 1))) / (x \ 1) = R(x \ 1,x,y) \ ((x \ 1) * z). [para(15(a,1),21519(a,1,2,2)),flip(a)]. 21521 (a(x \ 1,x,y) \ (z * (x \ 1))) / (x \ 1) = (x \ 1) * (R(x \ 1,x,y) \ z). [hyper(236,a,1503,a(flip),b,21520,a)]. 21522 (a(x \ 1,x,y) \ (z * (x \ 1))) / (x \ 1) = a(x \ 1,x,y) \ z. [hyper(236,a,21515,a(flip),b,21521,a)]. 21523 (x * (y \ 1)) / R(y \ 1,y,z) = a(y \ 1,y,z) \ x. [hyper(21518,a,21522,a)]. 21524 a(x \ 1,x,y) \ ((1 / x) \ y) = x * y. [hyper(236,a,4453,a(flip),b,21523,a(flip))]. 21525 (x * y) / ((1 / x) \ y) = a(x \ 1,x,y) \ 1. [hyper(74,a,21524,a(flip),b,19788,a)]. 21527 (a(x \ 1,x,y) \ 1) \ T(x * y,z) = T((1 / x) \ y,z). [para(21525(a,1),14659(a,1,1))]. 21528 a(x \ 1,x,y) * T(x * y,z) = T((1 / x) \ y,z). [hyper(236,a,19790,a(flip),b,21527,a(flip)),flip(a)]. 21529 K(x,a(y \ 1,y,z) \ (u / T(y * z,w))) = K(x,u / T((1 / y) \ z,w)). [para(21528(a,1),20129(a,1,2,2)),flip(a)]. 21530 K(x,a(y \ 1,y,z) \ (u / T(y * z,w))) = K(x,u / T((y \ 1) \ z,w)). [hyper(236,a,21177,a(flip),b,21529,a)]. 21531 K(x,a(y,z,z \ 1) * (u / T(z * y,w))) = K(x,u / T((z \ 1) \ y,w)). [hyper(236,a,18864,a(flip),b,21530,a(flip)),flip(a)]. 21532 K(x,(y / T(z * u,w)) * a(u,z,z \ 1)) = K(x,y / T((z \ 1) \ u,w)). [hyper(17723,a,21531,a)]. 21533 K(x,(y / T(z * u,y)) * a(u,z,z \ 1)) = K(x,((z \ 1) \ u) \ y). [hyper(236,a,13047,a(flip),b,21532,a)]. 21534 K(x,(y / T(z * u,x)) * a(u,z,z \ 1)) = K(x,y / ((z \ 1) \ u)). [hyper(236,a,7466,a(flip),b,21532,a)]. 21535 K(x,((y * z) \ u) * a(z,y,y \ 1)) = K(x,((y \ 1) \ z) \ u). [hyper(13299,a,21533,a)]. 21536 K(x,(y / (z * u)) * a(u,z,z \ 1)) = K(x,y / ((z \ 1) \ u)). [hyper(17198,a,21534,a)]. 21537 K(x,(((y * L(z,u,z)) \ y) * w) * a(y,L(z,u,z),z \ 1)) = K(x,(z \ 1) * w). [para(13642(a,1),21497(a,1,2,2))]. 21538 K(x,(((y * L(z,u,z)) \ y) * w) * a(y,z,z \ 1)) = K(x,(z \ 1) * w). [para(13649(a,1),21537(a,1,2,2))]. 21541 K(x,(((y * L(z,u,z)) \ y) * w) * a(y,z,z \ 1)) != v5 | K(x,z \ w) = v5. [para(21538(a,2),14303(a,1))]. 21542 K(x,(y * ((z * L(u,w,u)) \ z)) * a(z,L(u,w,u),u \ 1)) = K(x,y * (u \ 1)). [para(13642(a,1),21499(a,1,2,2))]. 21543 K(x,(y * ((z * L(u,w,u)) \ z)) * a(z,u,u \ 1)) = K(x,y * (u \ 1)). [para(13649(a,1),21542(a,1,2,2))]. 21546 K(x,(y * ((z * L(u,w,u)) \ z)) * a(z,u,u \ 1)) != v5 | K(x,y / u) = v5. [para(21543(a,2),14282(a,1))]. 21547 x \ T(x * (a(y,(x \ 1) \ 1,x \ 1) / (1 / (x \ 1))),z) = (x \ 1) * T(((x \ 1) \ a(y,x,x \ 1)) * (x \ 1),z). [para(10970(a,1),21468(a,1,2,1,1,2)),flip(a)]. 21548 x \ T(x * (a(y,(x \ 1) \ 1,x \ 1) / (1 / (x \ 1))),z) = (x \ 1) * T(x * (a(y,x,x \ 1) / x),z). [para(21445(a,1),21547(a,2,2,1))]. 21549 x \ T(x * (a(y,(x \ 1) \ 1,x \ 1) / (1 / (x \ 1))),z) = (x \ 1) * (x * (a(y,x,x \ 1) / x)). [para(13898(a,1),21548(a,2,2))]. 21550 x \ T(x * (a(y,(x \ 1) \ 1,x \ 1) / (1 / (x \ 1))),z) = (1 / x) * a(y,x,x \ 1). [hyper(236,a,20135,a(flip),b,21549,a)]. 21552 x \ T(x * (a(y,x,x \ 1) / (1 / (x \ 1))),z) = (1 / x) * a(y,x,x \ 1). [para(10970(a,1),21550(a,1,2,1,2,1))]. 21553 x \ T(x * (a(y,x,x \ 1) / x),z) = (1 / x) * a(y,x,x \ 1). [para(62(a,1),21552(a,1,2,1,2,2))]. 21554 x \ (x * (a(y,x,x \ 1) / x)) = (1 / x) * a(y,x,x \ 1). [para(118(a,1),21553(a,1,2))]. 21555 (1 / x) * a(y,x,x \ 1) = a(y,x,x \ 1) / x. [hyper(306,a,21554,a),flip(a)]. 21557 (1 / x) * (x * a(y,x,x \ 1)) = (a(y,x,x \ 1) / x) * x. [para(21555(a,1),20799(a,1,1)),flip(a)]. 21558 (1 / x) \ a(y,x,x \ 1) = x * a(y,x,x \ 1). [hyper(72,a,16,a(flip),b,21557,a)]. 21559 a(x,y,y \ 1) / (y \ 1) = y * a(x,y,y \ 1). [hyper(236,a,20795,a,b,21558,a(flip)),flip(a)]. 21560 K(x,(((y \ 1) \ a(z,y,y \ 1)) \ u) \ w) = K(x,((y * a(z,y,y \ 1)) \ u) \ w). [para(21558(a,1),5751(a,1,2,1,1)),flip(a)]. 21561 K(x,y / ((L(z \ 1,z,u) \ 1) \ w)) = K(x,y / ((z * a(u,z,z \ 1)) \ w)). [para(21559(a,1),21402(a,1,2,2,1)),flip(a)]. 21562 K(x,y / (a(z,u,u \ 1) \ (u \ w))) = K(x,y / ((L(u \ 1,u,z) \ 1) \ w)). [para(21025(a,1),21561(a,2,2,2)),flip(a)]. 21563 L(x,y,K(z,a(u,w,v5) * v6)) \ L(T(x,K(z,a(u,w,v5) * v6) * y),(a(u,w,v5) * y) * v6,K(z,a(u,w,v5) * v6)) = K(x,K(z,a(u,w,v5) * v6) * y). [hyper(236,a,3273,a(flip),b,20356,a)]. 21565 L((K(x \ (y * z),y \ x) * 1) \ 1,K(y \ x,x \ (y * z)) \ 1,(y \ x) * (z / (y \ x))) = a(z,K(y \ x,x \ (y * z)),K(y \ x,x \ (y * z)) \ 1) \ K(y \ x,x \ (y * z)). [para(5260(a,1),18854(a,1,1,1))]. 21566 ((x * K(x * (y \ z),z \ y)) \ u) \ (K(z \ y,(y \ z) * x) * (x \ T(u,w / (x * K(x * (y \ z),z \ y))))) = T(K(u,T(x,z \ y) \ w),(x * K(x * (y \ z),z \ y)) \ u). [para(16278(a,1),19810(a,2,1))]. 21567 ((x * K(x * (y \ z),z \ y)) \ u) \ (K(z \ y,(y \ z) * x) * (x \ T(u,w / (x * K(x * (y \ z),z \ y))))) = T(K(u,T(x,z \ y) \ w),K(z \ y,(y \ z) * x) * (x \ u)). [para(13779(a,1),21566(a,2,2))]. 21568 ((x * K(x * (y \ z),z \ y)) \ u) \ (K(z \ y,(y \ z) * x) * (x \ T(u,w / (x * K(x * (y \ z),z \ y))))) = T(K(u,T(x,z \ y) \ w),K(y * z,(y \ z) * x) * (x \ u)). [hyper(236,a,20935,a(flip),b,21567,a)]. 21569 ((x * K(x * (y \ z),z \ y)) \ u) \ (K(z \ y,(y \ z) * x) * (x \ T(u,w / (x * K(x * (y \ z),z \ y))))) = T(K(u,T(x,z \ y) \ w),K(y * z,x) * (x \ u)). [hyper(236,a,21076,a(flip),b,21568,a)]. 21570 ((x * K(x * (y \ z),z \ y)) \ u) \ (K(z \ y,(y \ z) * x) * (x \ T(u,w / (x * K(x * (y \ z),z \ y))))) = T(K(u,T(x,z \ y) \ w),T(x,y * z) \ u). [para(5204(a,1),21569(a,2,2))]. 21571 ((x * K(x * (y \ z),z \ y)) \ u) \ (K(z \ y,(y \ z) * x) * (x \ T(u,w / (x * K(x * (y \ z),z \ y))))) = K(u,T(T(x,z \ y) \ w,T(x,y * z) \ u)). [hyper(236,a,7256,a,b,21570,a)]. 21572 ((x * K(x * (y \ z),z \ y)) \ u) \ (K(z \ y,(y \ z) * x) * (x \ T(u,w / (x * K(x * (y \ z),z \ y))))) = K(u,T(T(x,z \ y) \ w,T(x,y * z))). [hyper(236,a,9346,a(flip),b,21571,a)]. 21573 ((x * K(x * (y \ z),z \ y)) \ u) \ (K(z \ y,(y \ z) * x) * (x \ T(u,w / (x * K(x * (y \ z),z \ y))))) = K(u,T(T(x,z \ y) \ w,x)). [hyper(236,a,16164,a(flip),b,21572,a)]. 21575 ((x * K(x * (y \ z),z \ y)) \ u) \ (K(z \ y,(y \ z) * x) * (x \ T(u,w / (x * K(x * (y \ z),z \ y))))) = K(u,w / T(x,z \ y)). [hyper(236,a,16206,a(flip),b,21573,a)]. 21576 (K(x \ y,(y \ x) * z) * (z \ u)) \ (K(x \ y,(y \ x) * z) * (z \ T(u,w / (z * K(z * (y \ x),x \ y))))) = K(u,w / T(z,x \ y)). [para(13779(a,1),21575(a,1,1))]. 21577 (K(x \ y,(y \ x) * z) * (z \ u)) \ (K(x \ y,(y \ x) * z) * (z \ T(u,K(z * (y \ x),x \ y) * (w / z)))) = K(u,w / T(z,x \ y)). [para(19276(a,1),21576(a,1,2,2,2))]. 21578 (K(x \ y,(y \ x) * z) * (z \ u)) \ (K(x \ y,(y \ x) * z) * (z \ T(u,K(z * (x * y),x \ y) * (w / z)))) = K(u,w / T(z,x \ y)). [para(20932(a,1),21577(a,1,2,2,2))]. 21579 (K(x \ y,(y \ x) * z) * (z \ u)) \ (K(x \ y,(y \ x) * z) * (z \ T(u,K(y * x,z) * (w / z)))) = K(u,w / T(z,x \ y)). [para(21075(a,1),21578(a,1,2,2,2))]. 21580 (K(x \ y,(y \ x) * z) * (z \ u)) \ (K(x \ y,(y \ x) * z) * (z \ T(u,w / T(z,y * x)))) = K(u,w / T(z,x \ y)). [para(16145(a,1),21579(a,1,2,2,2))]. 21581 K(x,L(y / T(z,u * w),z \ x,K(w \ u,(u \ w) * z))) = K(x,y / T(z,w \ u)). [hyper(14665,a,21580,a)]. 21582 K(x,y / T(z,u \ w)) = K(x,y / T(z,w * u)). [hyper(17774,a,21581,a),flip(a)]. 21583 K(x,y / T(z,u \ w)) != v5 | K(x,y / T(z,w * u)) = v5. [para(21581(a,1),17774(a,1))]. 21585 K(x,y / T(z \ 1,u * w)) = K(x,y * T(z,T(w,v5) \ u)). [hyper(236,a,19846,a(flip),b,21582,a(flip))]. 21586 K(x,y / T(z,u \ 1)) = K(x,y / T(z,u)). [para(11(a,1),21582(a,2,2,2,2))]. 21587 K(x,T(y,z * u) / T(u,z)) = K(x,T(u \ y,z)). [hyper(236,a,20869,a(flip),b,21586,a(flip))]. 21588 K(x,y / ((y / (z / (u * y))) / u)) = K(x,T(y \ z,u)). [hyper(236,a,20819,a,b,21587,a(flip)),flip(a)]. 21589 K(x,y / T(z,u / w)) != v5 | K(x,y / T(z,u * w)) = v5. [para(16641(a,2),21583(a,1))]. 21590 K(x,y / T(z,u \ (w * v5))) = K(x,y / T(z,w * (u / v5))). [hyper(21589,a,20634,a),flip(a)]. 21591 K(x,y / T(z \ 1,u * w)) = K(x,y * T(z,u \ w)). [hyper(21589,a,20579,a)]. 21592 K(x,y / T(z,u \ (w * v5))) != v6 | K(x,y / T(z,w * (u / v5))) = v6. [para(20634(a,1),21589(a,1))]. 21593 K(x,y * T(z,u \ w)) = K(x,y * T(z,u * w)). [hyper(236,a,16535,a(flip),b,21591,a(flip))]. 21594 K(x,y * T(z,u \ (w \ v5))) = K(x,y * T(z,(w * u) * v5)). [hyper(18206,a,21593,a)]. 21595 K(x,y * T(z,u \ w)) = K(x,y * T(z,w * u)). [hyper(236,a,16645,a,b,21593,a)]. 21596 K(x,y * T(a(z,u,w) \ v5,v5 * K(v6,v7))) = K(x,y / (a(z,u,w) * (v5 \ 1))). [hyper(236,a,21175,a(flip),b,21593,a(flip))]. 21597 K(x,y * T(z,u \ (w * v5))) = K(x,y * T(z,(w \ u) * v5)). [hyper(236,a,18134,a(flip),b,21593,a(flip)),flip(a)]. 21598 K(x,(y / z) * T(u,y * z)) = K(x,u * (y / z)). [hyper(236,a,16803,a(flip),b,21593,a(flip))]. 21599 K(x,y * T(1 / z,(u * (w \ 1)) * v5)) = K(x,y / T(z,(u * (1 / w)) \ v5)). [hyper(236,a,16542,a(flip),b,21593,a(flip))]. 21600 K(x,(y / z) * T(z,u * w)) = K(x,y * K(z,u \ w)). [para(6200(a,1),21593(a,1,2)),flip(a)]. 21601 K(x,(y / z) * T(1 / (1 / z),u * w)) = K(x,y * ((z \ 1) * T(z,u \ w))). [para(6563(a,1),21593(a,1,2)),flip(a)]. 21603 K(x,K(y,z)) * K(x,z * T(y,u * w)) = K(x,T(y,u \ w) * z). [para(21593(a,1),16046(a,1,2))]. 21604 K(x,y * T(z,u \ w)) != v5 | K(x,y * T(z,w * u)) = v5. [para(21593(a,2),16730(a,1))]. 21605 K(x,y * T(z,u \ w)) != v5 | K(x,y * T(z,u * w)) = v5. [para(21595(a,2),16730(a,1))]. 21607 K(x,y * K(z,u \ w)) = K(x,y * K(z,u * w)). [para(6200(a,1),21600(a,1,2)),flip(a)]. 21608 K(x,(y / T(z,u \ w)) * K(v5,K(v6,v7))) = K(x,(y / z) * K(z,u * w)). [hyper(18487,a,21607,a)]. 21609 K(x,y * (z * K(u * K(w,v5),T(v6 \ v7,v8)))) = K(x,(y * z) * K(u,v6 * v7)). [hyper(236,a,18317,a,b,21607,a(flip)),flip(a)]. 21610 K(x,y * K(z,u \ (w \ v5))) = K(x,y * K(z,(w * u) * v5)). [hyper(236,a,18137,a(flip),b,21607,a(flip)),flip(a)]. 21611 K(x,y / T(z,u \ (w * v5))) = K(x,y / T(z,w * (v5 \ u))). [hyper(236,a,20993,a(flip),b,21590,a)]. 21612 K(x,y * T(z,(u * w) * v5)) != v6 | K(x,y * T(z,w * (u \ v5))) = v6. [para(21594(a,1),21605(a,1))]. 21613 K(x,y * T(z,(u \ w) * v5)) = K(x,y * T(z,w * (u * v5))). [hyper(21605,a,21597,a),flip(a)]. 21614 K(x,y * K(z,(u * w) * v5)) = K(x,y * K(z,w * (u \ v5))). [hyper(236,a,21607,a(flip),b,21610,a(flip))]. 21615 K(x,(y / z) * T(z,u * (w * v5))) = K(x,y * K(z,(w \ u) * v5)). [para(6200(a,1),21613(a,1,2)),flip(a)]. 21616 K(x,(y / z) * T(1 / (1 / z),u * (w * v5))) = K(x,y * ((z \ 1) * T(z,(w \ u) * v5))). [para(6563(a,1),21613(a,1,2)),flip(a)]. 21617 K(x,T(y,z \ u) * w) = K(x,T(y,z * u) * w). [hyper(16436,a,21603,a),flip(a)]. 21618 K(x,T(y,z / u) * w) = K(x,T(y,u * z) * w). [hyper(16745,a,21617,a)]. 21619 x / (K(y,T(z,u * w) * v5) * x) = K(T(z,u \ w) * v5,y). [para(21617(a,1),5266(a,1,2,1))]. 21620 K(x,(1 / y) / (((1 / y) / (z / (u * (1 / y)))) / u)) = K(x,T(z,y * u) * T(y,u)). [hyper(236,a,20823,a,b,21618,a(flip)),flip(a)]. 21621 K(T(x,y \ z) * u,w) = K(T(x,y * z) * u,w). [hyper(17977,a,21619,a),flip(a)]. 21622 K(T((x \ y) * z,y * x) * u,w) = K((z * (x \ y)) * u,w). [hyper(236,a,15892,a(flip),b,21621,a(flip))]. 21623 K((x * (y \ z)) * (((y \ z) * x) \ u),w) = K(K((y \ z) * x,z * y) * u,w). [para(4857(a,1),21622(a,1,1)),flip(a)]. 21624 K(x,y * K(z,(u \ w) * v5)) = K(x,y * K(z,w * (u * v5))). [para(6200(a,1),21615(a,1,2)),flip(a)]. 21625 K(x,K(y * (z * u),w) * v5) = K(x,v5 * K(w,(z \ y) * u)). [hyper(236,a,16275,a,b,21624,a),flip(a)]. 21626 K(x,K((y * z) * (y * u),w) * v5) = K(x,v5 * K(w,z * u)). [para(13(a,1),21625(a,2,2,2,2,1))]. 21627 K(x,y / T(z,u * (w \ v5))) != v6 | K(x,y / T(z,u * (v5 / w))) = v6. [para(21611(a,1),21592(a,1))]. 21628 K(x,(y / T(z,(u * w) \ v5)) * K(v6,K(v7,v8))) = K(x,(y / z) * K(z,w * (u \ v5))). [hyper(236,a,21614,a(flip),b,21608,a)]. 21629 K(x,y / (a(z,u,w) * (v5 \ 1))) = K(x,y * T(a(z,u,w) \ v5,v5)). [hyper(19843,a,21596,a),flip(a)]. 21630 K(x,y / (a(z,u,w) * (v5 \ 1))) = K(x,y * (v5 / a(z,u,w))). [hyper(236,a,15762,a(flip),b,21629,a)]. 21631 K(x,y / (a(z,u,w) * (v5 \ 1))) = K(x,y * (a(z,u,w) \ v5)). [hyper(236,a,18073,a(flip),b,21630,a)]. 21633 K(x,a(y,z,u) \ (w / (v5 \ 1))) = K(x,w * (a(y,z,u) \ v5)). [hyper(236,a,20129,a(flip),b,21631,a(flip)),flip(a)]. 21634 K(x,((y / z) * a(u,w,v5)) * (a(u,w,v5) \ z)) = K(x,L(y,z \ 1,a(u,w,v5))). [hyper(20132,a,21633,a),flip(a)]. 21635 K(x,a(y,z,u) \ (w / T(v5 \ 1,w))) = K(x,T(w,v5 \ 1) * (a(y,z,u) \ v5)). [para(4115(a,1),21633(a,1,2,2))]. 21636 K(x,y * T(1 / z,(u \ 1) * (w \ v5))) = K(x,y / T(z,(w * (1 / u)) \ v5)). [hyper(21612,a,21599,a)]. 21637 K(x,(y / z) * T(1 / (1 / z),u * w)) = K(x,y * T(K(u \ w,z) * 1,z)). [hyper(236,a,18556,a,b,21601,a)]. 21638 K(x,y * (z * K(u * K(w,v5),T(v6 \ v7,v8)))) = K(x,y * (z * K(u,v6 * v7))). [hyper(236,a,18066,a(flip),b,21609,a)]. 21639 K(K((x \ y) * z,y * x) * u,w) = K(K(z,x \ y) * u,w). [para(11069(a,1),21623(a,1,1)),flip(a)]. 21640 K(x,T(y,z \ 1) * (a(u,w,v5) \ z)) = K(x,a(u,w,v5) \ ((z \ 1) \ y)). [hyper(236,a,19424,a(flip),b,21635,a(flip))]. 21641 K(x,a(y,z,u) \ ((w \ 1) \ v5)) = K(x,T(v5,w) * (a(y,z,u) \ w)). [hyper(236,a,18515,a(flip),b,21640,a(flip))]. 21642 K(x,y / T(z,(u * (1 / w)) \ v5)) = K(x,y * T(1 / z,w \ (u \ v5))). [para(14238(a,1),21636(a,1,2,2)),flip(a)]. 21643 K(x,y / T(z,(u * (1 / w)) \ v5)) = K(x,y * T(1 / z,w * (u \ v5))). [hyper(236,a,21593,a(flip),b,21642,a)]. 21644 K(x,y / T(z,(u * (1 / w)) \ v5)) = K(x,y / T(z,w * (u \ v5))). [hyper(236,a,16539,a(flip),b,21643,a)]. 21645 K(x,y / T(z,(u * (w \ 1)) \ v5)) = K(x,y / T(z,w * (u \ v5))). [para(4611(a,1),21644(a,1,2,2))]. 21646 K(x,y / T(z,u * (w * (v5 \ 1)))) = K(x,y / T(z,v5 * (w \ u))). [hyper(21583,a,21645,a)]. 21647 K(x,(y / z) * T(1 / (1 / z),u * w)) = K(x,y * T(K(u \ w,z),z)). [para(12(a,1),21637(a,2,2,2,1))]. 21648 K(x,(y / z) * T(1 / (1 / z),u * w)) = K(x,y * K(u \ w,z)). [para(3136(a,1),21647(a,2,2,2))]. 21649 K(x,y * ((z \ 1) * T(z,u * w))) = K(x,y * K(u \ w,z)). [para(6563(a,1),21648(a,1,2))]. 21650 K(x,y * T(K(z * u,w) * 1,w)) = K(x,y * K(z \ u,w)). [hyper(236,a,18556,a,b,21649,a(flip)),flip(a)]. 21651 K(x,y * T(K(z * u,w),w)) = K(x,y * K(z \ u,w)). [para(12(a,1),21650(a,1,2,2,1))]. 21652 K(x,y * K(z \ u,w)) = K(x,y * K(z * u,w)). [para(3136(a,1),21651(a,1,2,2)),flip(a)]. 21653 K(x,(y / T(z,T(u \ w,v5))) \ v6) = K(x,((y / z) \ v6) * K(u * w,z)). [hyper(236,a,19493,a,b,21652,a(flip)),flip(a)]. 21654 K(x,y * K(z * (u * w),w * u)) != v5 | K(x,K(w * u,z) * y) = v5. [para(21652(a,1),16282(a,1))]. 21655 K(x,y * (z * K(u,w \ v5))) = K(x,y * (z * K(u,w * v5))). [para(16160(a,1),21638(a,1,2,2,2))]. 21656 K(x,y * (((z \ u) / w) * K(w \ 1,z * u))) = K(x,y * (w \ (z \ u))). [hyper(236,a,16497,a(flip),b,21655,a(flip))]. 21657 K(x,y * (z * K(u,w \ 1))) = K(x,y * (z * K(u,w))). [para(12(a,1),21655(a,2,2,2,2,2))]. 21658 K(x,y * ((z \ u) * K(u,w * v5))) = K(x,y * (z \ T(u,w \ v5))). [para(14432(a,1),21655(a,1,2,2)),flip(a)]. 21659 K(x,(T(((y \ z) \ z) * u,y) \ 1) \ w) = K(x,(T(y,y \ z) * u) * (w * K(u * y,u))). [hyper(236,a,21318,a,b,21657,a(flip)),flip(a)]. 21660 K(x,y * (z \ T(u,w \ v5))) = K(x,y * (z \ T(u,w * v5))). [para(14432(a,1),21658(a,1,2,2)),flip(a)]. 21661 K(x,y * (z \ T(u * w,u * 1))) = K(x,y * (z \ (w * u))). [hyper(236,a,18326,a(flip),b,21660,a(flip))]. 21662 K(x,y * (z \ T(u * w,u))) = K(x,y * (z \ (w * u))). [para(12(a,1),21661(a,1,2,2,2,2))]. 21663 K(x,y * (z \ ((u \ w) * u))) = K(x,y * (z \ T(w,u))). [para(14(a,1),21662(a,1,2,2,2,1)),flip(a)]. 21664 K(x,(y \ K(z \ T(u * w,u),y \ 1)) * (z \ (w * u))) = K(x,(z \ T(u * w,u)) * (y \ 1)). [para(5071(a,1),21662(a,1,2)),flip(a)]. 21665 K(x,T(y,z \ ((u \ w) * u)) * (z \ T(w,u))) = K(x,(z \ ((u \ w) * u)) * y). [hyper(236,a,13117,a(flip),b,21663,a(flip))]. 21666 K(x,y * ((a(z,u,w) * v5) \ T(v6,v5))) = K(x,y * T(a(z,u,w) \ (v5 \ v6),v5)). [para(18769(a,1),21663(a,1,2,2)),flip(a)]. 21667 K(x,y * (((z \ u) / w) * K(w,z * u))) = K(x,y * (w \ (z \ u))). [hyper(16836,a,21656,a)]. 21668 K(x,y * ((z \ u) / T(w,z * u))) = K(x,y * (w \ (z \ u))). [hyper(18351,a,21667,a)]. 21669 K(x,T(y,z \ T(u,w)) * (z \ T(u,w))) = K(x,(z \ ((w \ u) * w)) * y). [para(16494(a,1),21665(a,1,2,1))]. 21670 K(x,(y \ ((z \ u) * z)) * w) = K(x,(y \ T(u,z)) * w). [hyper(236,a,13117,a(flip),b,21669,a(flip))]. 21671 K(x,(y \ T(z / (z / u),u)) * w) = K(x,(y \ (K(u \ z,u) * u)) * w). [para(4795(a,1),21670(a,1,2,1,2,1)),flip(a)]. 21672 K(x,(y \ T(z / (z / u),u)) * w) = K(x,(y \ (u * K(u \ z,u))) * w). [para(3138(a,1),21671(a,2,2,1,2))]. 21673 K(x,(y \ T(z / (z / u),u)) * w) = K(x,((y \ u) * K(u \ z,u)) * w). [para(14225(a,1),21672(a,2,2,1))]. 21674 K(x,(y \ T(z / (z / u),u)) * w) = K(x,(y \ u) * (w * K(u \ z,u))). [hyper(236,a,19285,a(flip),b,21673,a)]. 21675 K(x,T(y,z * u) * T(z,u)) = K(x,T((1 / z) \ y,u)). [hyper(236,a,21588,a(flip),b,21620,a(flip))]. 21676 K(x,T(y,z * u) * T(z,u)) = K(x,T(z * y,u)). [hyper(236,a,14990,a(flip),b,21675,a)]. 21677 K(x,T(y,T(z,u)) * T(u,z / u)) = K(x,T(u * y,z / u)). [para(13109(a,1),21676(a,1,2,1))]. 21678 K(x,T(y,L(z,u,K(w,v5))) * T(a(v5,u,w) \ z,a(v5,u,w))) = K(x,T((a(v5,u,w) \ z) * y,a(v5,u,w))). [para(14928(a,1),21676(a,1,2,1,2))]. 21679 K(x,T(y,z) * T(u,z / u)) = K(x,T(u * y,z / u)). [hyper(16674,a,21677,a)]. 21680 K(x,T(a(y,z,u) * w,v5 / a(y,z,u))) = K(x,T(w,v5) * a(y,z,u)). [hyper(18109,a,21679,a),flip(a)]. 21681 K(x,T(a(y,z,u) * w,a(y,z,u) * v5)) = K(x,T(w,v5) * a(y,z,u)). [hyper(16385,a,21680,a)]. 21682 K(x,T(a(y,z,u) * w,v5)) = K(x,T(w,v5) * a(y,z,u)). [hyper(236,a,20065,a(flip),b,21681,a(flip)),flip(a)]. 21683 K(x,T(a(y,z,u) * w,v5)) = K(x,a(y,z,u) * T(w,v5)). [hyper(236,a,17712,a,b,21682,a)]. 21685 L(T(x,K(y,z) * (a(u,w,v5) * y)),a(u,w,v5) * y,K(y,z)) = K(x,T(a(u,w,v5) * y,z)) * L(x,a(u,w,v5) * y,K(y,z)). [para(21683(a,2),16334(a,2,1))]. 21686 K(x,(y / T(z,(u * (w \ 1)) \ v5)) * K(v6,K(v7,v8))) = K(x,(y / z) * K(z,w \ (u \ v5))). [para(14126(a,1),21628(a,2,2,2))]. 21687 K(x,(y / z) * T(1 / (1 / z),u * (w * v5))) = K(x,y * T(K((w \ u) * v5,z) * 1,z)). [hyper(236,a,18556,a,b,21616,a)]. 21688 K(x,(T(((y \ z) \ z) * u,y) \ 1) \ w) = K(x,(T(y,y \ z) * u) * (w * K(y * u,u))). [para(5559(a,2),21659(a,2,2,2,2))]. 21689 K(x,(y / T(z,(u * (w \ 1)) \ v5)) * K(v6,K(v7,v8))) = K(x,(y / z) * K(z,w * (u \ v5))). [hyper(236,a,21607,a(flip),b,21686,a)]. 21690 K(x,(y / z) * T(1 / (1 / z),u * (w * v5))) = K(x,y * T(K((w \ u) * v5,z),z)). [para(12(a,1),21687(a,2,2,2,1))]. 21691 K(x,(y / z) * T(1 / (1 / z),u * (w * v5))) = K(x,y * K((w \ u) * v5,z)). [para(3136(a,1),21690(a,2,2,2))]. 21692 K(x,y * ((z \ 1) * T(z,u * (w * v5)))) = K(x,y * K((w \ u) * v5,z)). [para(6563(a,1),21691(a,1,2))]. 21693 K(x,y * T(K(z * (u * w),v5) * 1,v5)) = K(x,y * K((u \ z) * w,v5)). [hyper(236,a,18556,a,b,21692,a(flip)),flip(a)]. 21694 K(x,y * T(K(z * (u * w),v5),v5)) = K(x,y * K((u \ z) * w,v5)). [para(12(a,1),21693(a,1,2,2,1))]. 21695 K(x,y * K((z \ u) * w,v5)) = K(x,y * K(u * (z * w),v5)). [para(3136(a,1),21694(a,1,2,2)),flip(a)]. 21696 K(x,y * K(z * (u * w),w \ u)) = K(x,K(w \ u,z) * y). [hyper(236,a,20192,a(flip),b,21695,a(flip))]. 21697 K(x,y * K(z * (u * w),w * u)) = K(x,K(w \ u,z) * y). [hyper(236,a,21607,a(flip),b,21696,a(flip)),flip(a)]. 21698 K(x,K(y \ z,u) * w) = K(x,K(y * z,u) * w). [hyper(21654,a,21697,a),flip(a)]. 21699 K(x,K(y \ z,u) * w) != v5 | K(x,K(y * z,u) * w) = v5. [para(21697(a,1),21654(a,1))]. 21700 K(x,K(y \ z,u) * w) = K(x,K(z * y,u) * w). [hyper(236,a,16702,a,b,21698,a)]. 21701 K(x,K(y \ z,u) * w) = K(x,K(u,z * y) * w). [hyper(236,a,16721,a(flip),b,21698,a)]. 21702 K(x,K(y * z,u) * L(w \ 1,w,v5)) = K(x,w \ K(u,y \ z)). [hyper(236,a,19354,a(flip),b,21698,a(flip))]. 21703 K(x,K(y * z,u) * (w / (v5 \ 1))) = K(x,w * (v5 * K(y \ z,u))). [hyper(236,a,19258,a(flip),b,21698,a(flip))]. 21704 x / (K(y,K(z * u,w) * v5) * x) = K(K(z \ u,w) * v5,y). [para(21698(a,1),5266(a,1,2,1))]. 21705 K(x,K((y * z) \ u,w) * v5) = K(x,K((y \ u) * z,w) * v5). [hyper(18820,a,21700,a)]. 21706 K(x,K(y,z \ u) * w) = K(x,K(y,u * z) * w). [hyper(15676,a,21701,a)]. 21707 K(x,y * K(z,z * (u * w))) = K(x,K(z,w \ u) * y). [hyper(236,a,16276,a,b,21706,a),flip(a)]. 21708 K(x,K(y,z * ((u * w) \ u)) * v5) != v6 | K(x,v5 * K((u / (w * u)) \ z,y)) = v6. [para(21706(a,1),19757(a,1))]. 21709 K(x,K(y,z \ u) * w) != v5 | K(x,K(y,u * z) * w) = v5. [para(21707(a,1),16364(a,1))]. 21710 K(K(x \ y,z) * u,w) = K(K(x * y,z) * u,w). [hyper(17977,a,21704,a),flip(a)]. 21711 K(K(x \ y,z) * u,w) != v5 | K(K(x * y,z) * u,w) = v5. [para(21704(a,1),5272(a,1))]. 21712 K(K(x \ (y * z),u) * w,v5) = K(K((y \ x) * z,u) * w,v5). [hyper(236,a,18131,a(flip),b,21710,a(flip)),flip(a)]. 21713 L(x,y,(z * K(K(u * w,u) * (v5 \ z),v5)) * K(w,u)) = L(x,y,T(z * K(u \ w,u),v5)). [para(21710(a,1),14427(a,1,3,1,2))]. 21714 K(x,K((y \ z) * u,w) * v5) = K(x,K((y * u) * z,w) * v5). [hyper(21699,a,21705,a),flip(a)]. 21715 K(K((x \ y) * z,u) * w,v5) = K(K(y * (x * z),u) * w,v5). [hyper(21711,a,21712,a),flip(a)]. 21716 K(K(x * (y * z),x * y) * u,w) = K(K(z,y \ x) * u,w). [hyper(236,a,21639,a(flip),b,21715,a(flip))]. 21717 K(K(x,y \ z) * u,w) = K(K(x,z * y) * u,w). [hyper(18225,a,21716,a),flip(a)]. 21718 K(K(x,y \ z) * u,w) != v5 | K(K(x,z * y) * u,w) = v5. [para(21716(a,1),18225(a,1))]. 21719 K(K(x,y * z) * (u / (w \ 1)),v5) = K(u * (w * K(z \ y,x)),v5). [hyper(19377,a,21717,a),flip(a)]. 21720 K(K(x,y \ z) * u,T(w,u)) = K(u * K(x,z * y),w). [hyper(236,a,13395,a(flip),b,21717,a)]. 21721 K(K(x,y * z) * (u * (w \ 1)),v5) = K(u * (w \ K(x,z \ y)),v5). [hyper(236,a,18173,a(flip),b,21717,a(flip))]. 21722 K(K(x,y \ (z \ u)) * w,v5) = K(K(x,u * (z * y)) * w,v5). [hyper(236,a,18130,a(flip),b,21717,a(flip)),flip(a)]. 21723 (x * y) / (K(K(z,u * w) * v5,x) * y) = T(x,K(z,w \ u) * v5). [para(21717(a,1),5354(a,1,2,1))]. 21724 K(x * K(y,z \ u),w) = K(x * K(y,u * z),w). [hyper(13410,a,21720,a)]. 21725 (x * y) / (K(z * K(u,w * v5),x) * y) = T(x,z * K(u,v5 \ w)). [para(21724(a,1),5354(a,1,2,1))]. 21726 K(K(x,(y \ z) * u) * w,v5) = K(K(x,z * (y * u)) * w,v5). [hyper(21718,a,21722,a)]. 21727 (x * y) / (K(K(z,u * (w * v5)) * v6,x) * y) = T(x,K(z,(w \ u) * v5) * v6). [para(21726(a,1),5354(a,1,2,1))]. 21728 K(x,y \ K(z,u \ w)) = K(x,y \ K(z,u * w)). [hyper(236,a,19354,a(flip),b,21702,a(flip))]. 21729 K(x,y * (z * K(u \ w,v5))) = K(x,y * (z * K(u * w,v5))). [hyper(236,a,19258,a(flip),b,21703,a(flip))]. 21730 K(x,(y \ T(z / (z / u),u)) * w) = K(x,(y \ u) * (w * K(u * z,u))). [hyper(236,a,21674,a,b,21729,a(flip)),flip(a)]. 21731 K(x,(y \ T(z,z * (u \ w))) * v5) = K(x,(y \ z) * (v5 * K(u * w,z))). [hyper(236,a,19446,a,b,21729,a(flip)),flip(a)]. 21732 K(x,((T(y,z \ y) / z) * u) * ((u \ z) * K(z * y,y))) = K(x,(z / u) * (u * (z \ y))). [hyper(236,a,21007,a(flip),b,21729,a(flip))]. 21733 K(x * (y * K(z \ u,w)),v5) = K(x * (y * K(u * z,w)),v5). [hyper(19377,a,21719,a),flip(a)]. 21734 (x * y) / (K(z * (u * K(w * v5,v6)),x) * y) = T(x,z * (u * K(v5 \ w,v6))). [para(21733(a,1),5354(a,1,2,1))]. 21735 K(x * (y \ K(z,u \ w)),v5) = K(x * (y \ K(z,w * u)),v5). [hyper(236,a,18173,a(flip),b,21721,a(flip))]. 21736 K(x * ((K(K(y,z \ u) * w,w \ 1) / w) \ K(y,u * z)),v5) = K(x * (K(y,z \ u) / (1 / w)),v5). [para(6106(a,1),21735(a,1,1,2)),flip(a)]. 21737 T(x,K(y,z \ u) * w) = T(x,K(y,u * z) * w). [hyper(5356,a,21723,a),flip(a)]. 21738 T(x,K(y,(z \ u) * w) * v5) != v6 | T(x,K(y,z \ (u / w)) * v5) = v6. [para(21737(a,1),18341(a,1))]. 21739 T(x,y * K(z,u \ w)) = T(x,y * K(z,w * u)). [hyper(5356,a,21725,a),flip(a)]. 21740 T(x,(y * ((z \ u) * w)) * K(w,u * z)) = T(x,y * (w * (z \ u))). [para(10676(a,1),21739(a,1,2)),flip(a)]. 21741 T(x,y * (((z \ u) * w) * K(w,u * z))) = T(x,y * (w * (z \ u))). [hyper(18105,a,21740,a)]. 21742 T(x,y * ((z \ u) * T(w,u * z))) = T(x,y * (w * (z \ u))). [para(6201(a,1),21741(a,1,2,2))]. 21743 T(T(x,y),K(y,z * (u * (w \ v5)))) = T(x,T(y,z * ((w \ v5) * T(u,v5 * w)))). [para(21742(a,2),7135(a,2,2))]. 21744 K(x,(y \ T(z / (z / u),u)) * w) = K(x,(y \ u) * (w * K(u,z))). [hyper(236,a,18217,a(flip),b,21730,a)]. 21745 K(x,(y \ T(z / (z / u),u)) * w) = K(x,(y \ T(u,z)) * w). [hyper(236,a,19289,a(flip),b,21744,a)]. 21746 K(x,(y \ (z / (z / u))) * w) = K(x,(y \ T(u,z)) * w). [para(271(a,1),21745(a,1,2,1,2))]. 21747 K(x,(y \ T(z,z * (u \ w))) * v5) = K(x,(y \ T(z,u * w)) * v5). [hyper(236,a,19337,a(flip),b,21731,a)]. 21748 K(x,(y \ T(z,u \ w)) * v5) = K(x,(y \ T(z,u * w)) * v5). [hyper(236,a,19445,a(flip),b,21747,a(flip)),flip(a)]. 21749 K(x,(T(y,z) \ T(z,u * w)) * v5) = K(x,(T(z,u \ w) / y) * v5). [hyper(236,a,20472,a(flip),b,21748,a(flip))]. 21750 K(x,(T(y,z \ u) / w) * v5) = K(x,(T(y,z * u) / w) * v5). [hyper(236,a,20472,a(flip),b,21749,a(flip))]. 21751 T(x,K(y,(z \ u) * w) * v5) = T(x,K(y,u * (z * w)) * v5). [hyper(5356,a,21727,a),flip(a)]. 21752 T(x,K(y,z \ (u / w)) * v5) = T(x,K(y,u * (z * w)) * v5). [hyper(21738,a,21751,a)]. 21753 T(x,K(y,z * (a(u,w,v5) * v6)) * v7) = T(x,K(z * v6,y) * v7). [hyper(20972,a,21752,a),flip(a)]. 21754 T(x,K(K(y,z) * u,w) * v5) = T(x,K(u * a(v6,v7,v8),w) * v5). [hyper(17252,a,21753,a),flip(a)]. 21755 T(x,K(y * a(z,u,w),v5) * v6) = T(x,K(y,v5) * v6). [hyper(17244,a,21754,a),flip(a)]. 21756 T(x,K(a(y,z,u) * w,v5) * v6) = T(x,K(w,v5) * v6). [hyper(16748,a,21755,a)]. 21757 K(x,K(T(T(a(y,z,u),w) * v5,v6),v7) * v8) = (x * T(v9,K(x,v8))) \ (T(x,K(v5,v7) * v8) * v9). [para(21755(a,1),21279(a,2,2,1))]. 21758 T(x,K(y,a(z,u,w) * v5) * v6) = T(x,K(v5,y) * v6). [hyper(15799,a,21756,a)]. 21759 T(x,K(y,z) * (u * (a(w,v5,v6) \ T(y,z)))) = T(x,u * T(a(w,v5,v6) \ T(y,z),z)). [hyper(20941,a,21758,a),flip(a)]. 21760 L(x,y,K(z,a(u,w,v5) * v6)) \ L(T(x,K(v6,z) * y),(a(u,w,v5) * y) * v6,K(z,a(u,w,v5) * v6)) = K(x,K(z,a(u,w,v5) * v6) * y). [para(21758(a,1),21563(a,1,2,1))]. 21761 T(x,y * (z * K(u \ w,v5))) = T(x,y * (z * K(w * u,v5))). [hyper(5356,a,21734,a),flip(a)]. 21762 K(x,y) \ T(T(x,y),y * (z * K(u * w,v5))) = T(x,(z * K(w \ u,v5)) * y). [hyper(72,a,21761,a(flip),b,13005,a)]. 21763 T(T(x,y),K(y,z * (u * (w * v5)))) = T(x,T(y,z * ((v5 \ w) * T(u,w * v5)))). [hyper(20925,a,21743,a)]. 21764 K(x,y) * T(T(y,x),x * (z * K(u * w,v5))) = T(y,(z * K(w \ u,v5)) * x). [hyper(5286,a,21762,a)]. 21765 T(x,T(y,z * ((u \ w) * T(v5,w * u)))) = T(x,T(y,z * (v5 * (w * u)))). [hyper(7185,a,21763,a),flip(a)]. 21766 T(x,T(y,z * (u * (w \ v5)))) = T(x,T(y,z * (u * (v5 * w)))). [para(21742(a,1),21765(a,1,2))]. 21767 ((x * (1 / y)) \ x) \ T((x * (1 / y)) \ x,T(z,u * (w * (v5 * v6)))) = T(K(y,T(z,u * (w * (v6 \ v5)))),(x * (1 / y)) \ x). [hyper(6550,a,21766,a),flip(a)]. 21768 T(K(x,y) * T(y,x * (z * K(u * w,v5))),x) = T(y,(z * K(w \ u,v5)) * x). [hyper(8775,a,21764,a)]. 21769 T(T(x * K(y,x),(z * K(u * w,v5)) * y),y) = T(x,(z * K(w \ u,v5)) * y). [para(13111(a,2),21768(a,1,1))]. 21770 T(T(x * K(y,x),z * (K(u * w,v5) * y)),y) = T(x,(z * K(w \ u,v5)) * y). [para(18015(a,1),21769(a,1,1))]. 21771 T(x,(y * K(z \ u,w)) * v5) = T(x,y * (K(u * z,w) * v5)). [hyper(5036,a,21770,a),flip(a)]. 21773 T(x,y * (K(z \ u,w) * v5)) = T(x,y * (K(u * z,w) * v5)). [hyper(236,a,18015,a(flip),b,21771,a(flip)),flip(a)]. 21774 ((x * (1 / y)) \ x) \ T((x * (1 / y)) \ x,z * (K(u * w,v5) * v6)) = T(K(y,z * (K(w \ u,v5) * v6)),(x * (1 / y)) \ x). [hyper(6550,a,21773,a),flip(a)]. 21775 T(x,y * (a(z,u,w) \ T(T(v5,v6),v6))) = T(x,y * T(a(z,u,w) \ T(v5,v6),v6)). [hyper(236,a,18227,a(flip),b,21759,a(flip)),flip(a)]. 21776 T(x,y * T(a(z,u,w) \ T(v5,v6),v6)) = T(x,y * (a(z,u,w) \ v5)). [hyper(236,a,18380,a(flip),b,21775,a(flip))]. 21778 T(x,y * ((a(z,u,w) * v5) \ v6)) = T(x,y * (a(z,u,w) \ (v5 \ v6))). [hyper(236,a,20958,a(flip),b,21776,a(flip)),flip(a)]. 21779 T(x,(y \ a(z,u,z)) * (a(w,v5,v6) \ (v7 \ v8))) = T(x,y \ ((a(w,v5,v6) * v7) \ v8)). [hyper(20144,a,21778,a),flip(a)]. 21781 T(x,y \ ((a(z,u,w) * v5) \ v6)) != v7 | T(x,y \ (a(z,u,w) \ (v5 \ v6))) = v7. [para(21779(a,1),20144(a,1))]. 21782 K(x,(T(((y \ z) \ z) * u,y) \ 1) \ w) = K(x,(T(y,y \ z) * u) * (w * K(y,u))). [hyper(236,a,13183,a(flip),b,21688,a)]. 21783 K(x,(T(((y \ z) \ z) * u,y) \ 1) \ w) = K(x,(T(T(y,u),y \ z) * u) * w). [hyper(236,a,18539,a(flip),b,21782,a)]. 21784 K(x,(T(((y \ z) \ z) * u,y) \ 1) \ w) = K(x,(u * T(y,y \ z)) * w). [hyper(236,a,18501,a(flip),b,21783,a)]. 21785 K(x,(y * T(z,z \ u)) * w) = K(x,(y * T(z,u)) * w). [hyper(236,a,20587,a(flip),b,21784,a(flip))]. 21786 K(x,(K(y,T(z,z \ u)) * w) * T(T(z,z \ u) * y,w)) = K(x,(y * T(z,u)) * w). [para(11042(a,2),21785(a,1,2))]. 21787 K(x,(K(y,T(z,u)) * w) * T(T(z,z \ u) * y,w)) = K(x,(y * T(z,u)) * w). [para(7238(a,1),21786(a,1,2,1,1))]. 21788 K(x,y * (T(T(z,z \ u) * w,y) * K(w,T(z,u)))) = K(x,(w * T(z,u)) * y). [hyper(18383,a,21787,a)]. 21789 K(x,y * (T(T(z,z \ u) * w,y) * K(w,z))) = K(x,(w * T(z,u)) * y). [hyper(16765,a,21788,a)]. 21790 K(x,y * T((T(z,z \ u) * w) * K(w,z),y)) = K(x,(w * T(z,u)) * y). [hyper(236,a,18626,a,b,21789,a(flip)),flip(a)]. 21792 K(x,y * T(T(z,z \ u) * T(w,z),y)) = K(x,(w * T(z,u)) * y). [para(6201(a,1),21790(a,1,2,2,1))]. 21793 K(x,y * T(K(z,z \ u) * (w * z),y)) = K(x,(w * T(z,u)) * y). [para(5180(a,2),21792(a,1,2,2,1))]. 21794 K(x,(K(y,y \ z) * (u * y)) * w) = K(x,(u * T(y,z)) * w). [para(119(a,1),21793(a,1,2))]. 21795 K(x,(y * z) * (u * K(z,z \ w))) = K(x,(y * T(z,w)) * u). [hyper(18383,a,21794,a)]. 21796 K(x,(y * z) * (u * K(w,z))) = K(x,(y * T(z,w)) * u). [hyper(236,a,18189,a(flip),b,21795,a(flip)),flip(a)]. 21797 K(x,K(y,z) * ((u * z) * w)) = K(x,(u * T(z,y)) * w). [hyper(18144,a,21796,a)]. 21798 K(x,K(y,(z * T(u,w)) * v5) * v6) != v7 | K(x,K((z * u) * v5,y) * v6) = v7. [para(21797(a,1),17305(a,1,2,1))]. 21799 K(x,(y / z) * K(z,u * (w \ v5))) != v6 | K(x,(y / T(z,(w * (u \ 1)) \ v5)) * K(v7,K(v8,v9))) = v6. [para(21689(a,1),16416(a,1))]. 21800 L(x,y,(z * K(K(u,w) * (v5 \ z),v5)) * K(w,u)) = L(x,y,T(z * K(u \ w,u),v5)). [para(16301(a,1),21713(a,1,3,1,2))]. 21801 L(x,y,T(z * K(u \ w,u),v5)) = L(x,y,(v5 \ (z * K(w,u))) * v5). [para(16302(a,1),21800(a,1,3)),flip(a)]. 21802 L(x,y,T(z * K(u \ w,u),v5)) = L(x,y,T(z * K(w,u),v5)). [hyper(236,a,13510,a(flip),b,21801,a)]. 21803 L(x,y,(K(z \ u,z) \ ((w \ (K(z \ u,z) * v5)) * w)) * K(u,z)) = L(x,y,T(v5 * K(u,z),w)). [hyper(236,a,13805,a,b,21802,a(flip)),flip(a)]. 21804 K(x,((T(y,z \ y) / z) * u) * ((u \ z) * K(y * z,y))) = K(x,(z / u) * (u * (z \ y))). [para(5559(a,1),21732(a,1,2,2,2))]. 21805 K(x,((T(y,z \ y) / z) * u) * ((u \ z) * K(y,z))) = K(x,(z / u) * (u * (z \ y))). [hyper(236,a,18217,a(flip),b,21804,a(flip)),flip(a)]. 21806 K(x,((T(y,z \ y) / z) * u) * (u \ T(z,y))) = K(x,(z / u) * (u * (z \ y))). [hyper(236,a,18191,a(flip),b,21805,a(flip)),flip(a)]. 21807 K(x,((y \ z) * u) * (u \ T(y,z))) = K(x,(y / u) * (u * (y \ z))). [hyper(236,a,18522,a(flip),b,21806,a(flip)),flip(a)]. 21808 K(x,K(T(T(a(y,z,u),w) * v5,v6),v7) * v8) = K(x,K(v7,v5) * v8). [hyper(236,a,17006,a(flip),b,21757,a)]. 21810 K(x,K(T(a(y,z,u),w) * v5,T(v6,v7)) * v8) = K(x,K(v6,v5) * v8). [para(7260(a,1),21808(a,1,2,1))]. 21811 K(x,K(y * a(z,u,w),T(v5,v6)) * v7) = K(x,K(v5,y) * v7). [para(13417(a,1),21810(a,1,2,1))]. 21812 K(x,y * K(z * a(u,w,v5),v6)) = K(x,K(v6,z) * y). [hyper(16703,a,21811,a)]. 21813 K(x * K(y * a(z,u,w),v5),v6) = v7 / (K(v6,K(v5,y) * x) * v7). [para(21812(a,1),5266(a,1,2,1)),flip(a)]. 21814 K(x * K(y * a(z,u,w),v5),v6) = K(K(v5,y) * x,v6). [hyper(236,a,17975,a(flip),b,21813,a)]. 21815 K(K(x,y) * z,u) != w | K(K(y * a(v5,v6,v7),x) * z,u) = w. [para(21814(a,1),16184(a,1))]. 21816 K(K(x * a(y,z,u),w) * (((v5 * w) \ v6) * v7),v8) = K(((v5 * (x / (x / w))) \ v6) * v7,v8). [hyper(21815,a,19748,a)]. 21817 K(((x * T(y,z * a(u,w,v5))) \ v6) * v7,v8) = K(((x * (z / (z / y))) \ v6) * v7,v8). [hyper(236,a,19746,a(flip),b,21816,a(flip)),flip(a)]. 21818 K(((x * T(y,z * a(u,w,v5))) \ v6) * v7,v8) = K(((x * T(y,z)) \ v6) * v7,v8). [hyper(236,a,19749,a(flip),b,21817,a)]. 21819 K((((a(x,y,z) * u) * T(w,u)) \ v5) * v6,v7) = K(((w * (a(x,y,z) * u)) \ v5) * v6,v7). [para(17689(a,1),21818(a,1,1,1,1)),flip(a)]. 21820 K((((a(x,y,z) * u) * w) \ v5) * v6,v7) = K(((u * (a(x,y,z) * w)) \ v5) * v6,v7). [para(18767(a,1),21819(a,1,1,1,1))]. 21821 K((((a(x,y,z) * u) * w) \ ((u * a(x,y,z)) * w)) * v5,v6) = K(a(u,a(x,y,z),w) * v5,v6). [para(24(a,2),21820(a,2,1,1))]. 21822 K(K(x,T(a(y,z,u),w)) * v5,v6) = K(a(x,a(y,z,u),w) * v5,v6). [para(10998(a,1),21821(a,1,1,1))]. 21823 K(a(x,a(y,z,u),w) * v5,v6) = K(K(x,a(y,z,u)) * v5,v6). [hyper(16683,a,21822,a),flip(a)]. 21825 K(a(x,a(y,z,u),w) * v5,v6) = K(v5,v6). [hyper(236,a,18081,a(flip),b,21823,a)]. 21827 T(x,a(y,a(z,u,w),v5) * v6) = (x * v7) / (K(v6,x) * v7). [para(21825(a,1),5354(a,1,2,1)),flip(a)]. 21828 T(x,a(y,a(z,u,w),v5) * v6) = T(x,v6). [hyper(236,a,5354,a(flip),b,21827,a)]. 21829 T(x,y * a(z,a(u,w,v5),v6)) = T(x,y). [hyper(17686,a,21828,a)]. 21830 (a(x,a(y,z,u),w) * v5) * T(v6,v5) = v6 * (a(x,a(y,z,u),w) * v5). [para(21828(a,1),119(a,1,2))]. 21831 K(x,y * a(z,a(u,w,v5),v6)) = x \ T(x,y). [hyper(72,a,21829,a(flip),b,4887,a(flip)),flip(a)]. 21832 K(x,y * a(z,a(u,w,v5),v6)) = K(x,y). [hyper(236,a,4829,a,b,21831,a)]. 21833 K(x,(y * a(z,u,w)) * v5) = K(x,y * (a(z,u,w) * v5)). [para(91(a,1),21832(a,1,2))]. 21834 K(x,(y / z) * (a(u,w,v5) * (a(u,w,v5) \ z))) = K(x,L(y,z \ 1,a(u,w,v5))). [hyper(236,a,21634,a(flip),b,21833,a(flip))]. 21835 (a(x,a(y,z,u),w) * v5) * v6 = v5 * (a(x,a(y,z,u),w) * v6). [hyper(18771,a,21830,a)]. 21836 T(a(x,a(y,z,u),w) * v5,v6) = a(x,a(y,z,u),w) * T(v5,v6). [hyper(18777,a,21835,a)]. 21837 a(x,a(y,z,u),w) \ T(a(x,a(y,z,u),w) * v5,v6) = T(v5,v6). [hyper(72,a,21836,a,b,xx)]. 21838 K(x,(y * (a(z,a(u,w,v5),v6) \ 1)) \ v7) = (y * T(y \ v7,x)) \ v7. [para(21837(a,1),8813(a,1,1,2)),flip(a)]. 21839 K(x,(y * (a(z,a(u,w,v5),v6) \ 1)) \ v7) = K(x,y \ v7). [hyper(236,a,7588,a(flip),b,21838,a)]. 21840 K(x,L(y,z \ 1,a(u,w,v5))) = K(x,(y / z) * z). [para(14(a,1),21834(a,1,2,2)),flip(a)]. 21841 K(x,L(y,z \ 1,a(u,w,v5))) = K(x,y). [para(16(a,1),21840(a,2,2))]. 21844 K(x,L(y,z,a(u,w,v5))) = K(x,y). [hyper(236,a,18309,a(flip),b,21841,a(flip)),flip(a)]. 21845 K(x,(a(y,z,u) * w) \ v5) = K(x,w \ (a(y,z,u) \ v5)). [hyper(11497,a,21844,a)]. 21848 K(x,R(x,y * z,a(x,y,z)) * (((x * y) * z) \ (((y * z) * a(x,y,z)) * u))) = K(R(x,y * z,a(x,y,z)),u). [hyper(236,a,15372,a(flip),b,21844,a(flip))]. 21849 K(x,(a(y,z,u) \ w) \ v5) = K(x,w \ (a(y,z,u) * v5)). [hyper(236,a,14570,a(flip),b,21844,a(flip))]. 21850 a(x,y,a(z,u,K(w,v5))) = 1. [hyper(73,a,21844,a(flip),b,14345,a),flip(a)]. 21851 a(x,y,K(z,a(u,w,v5))) = 1. [hyper(73,a,21844,a(flip),b,14021,a),flip(a)]. 21852 K(x,a(a(y,z,u),w,v5)) = 1. [hyper(73,a,21844,a(flip),b,13869,a),flip(a)]. 21855 L(a(x,y,K(z,u)),w,v5) = a(x,y,K(z,u)). [hyper(33,a,21850,a)]. 21856 a(a(x,y,K(z,u)),w,v5) = 1. [hyper(236,a,14396,a,b,21850,a(flip)),flip(a)]. 21859 1 * K(x,(a(y,z,z \ 1) * u) / w) = K(x,u / (w / a(y,z,z \ 1))). [para(21850(a,1),20663(a,1,1))]. 21862 T(x,a(y,z,a(u,w,v5))) = 1 * x. [para(21851(a,1),13865(a,1,1)),flip(a)]. 21863 T(a(x,y,z),a(u,w,v5)) = 1 * a(x,y,z). [para(21851(a,1),13876(a,1,1)),flip(a)]. 21865 x * K(y,a(a(z,u,w),v5,v6)) != v7 | v7 = x. [para(21852(a,2),83(a,1,2))]. 21868 L(x,y,a(z,u,K(w,v5))) = x. [hyper(33,a,21856,a)]. 21870 (a(x,y,K(z,u)) * w) * v5 = a(x,y,K(z,u)) * (w * v5). [para(21868(a,1),103(a,1,2))]. 21871 (a(x,y,K(z,u)) * (w * v5)) \ ((a(x,y,K(z,u)) * w) * (v5 * v6)) = L(v6,L(v5,w,a(x,y,K(z,u))),a(x,y,K(z,u)) * w). [para(21868(a,1),439(a,1,2,2,1))]. 21876 T(x,L(y,z,a(u,w,v5))) = T(x,y). [hyper(70,a,21862,a(flip),b,14361,a(flip))]. 21877 T(x,a(y,z,a(u,w,v5))) != v6 | v6 = x. [para(21862(a,2),75(a,1))]. 21879 T(x,(a(y,z,u) \ w) \ v5) = T(x,w \ (a(y,z,u) * v5)). [para(450(a,1),21876(a,1,2)),flip(a)]. 21880 T(x,L(y,z,a(u,w,v5))) != v6 | T(x,y) = v6. [para(14361(a,1),21877(a,1)),flip(b)]. 21882 a(x,y,K(z,L(u,w,v5))) = a(x,y,K(z,u)). [hyper(236,a,12125,a,b,21855,a(flip)),flip(a)]. 21883 (x * y) * a(z,u,K(w,v5)) != v6 | x * (y * a(z,u,K(w,v5))) = v6. [para(21855(a,1),219(a,1,2))]. 21884 T(a(x,y,z),a(u,w,v5)) = a(x,y,z). [hyper(236,a,11,a(flip),b,21863,a)]. 21885 L(a(x,y,z),u,K(w,v5)) = a(x,y,z). [hyper(70,a,21863,a(flip),b,14670,a)]. 21887 a(x,y,z) * a(u,w,v5) = a(u,w,v5) * a(x,y,z). [para(21884(a,1),119(a,1,2))]. 21894 L(a(x,y,z),u,T(w,v5)) = L(a(x,y,z),u,w). [para(21885(a,1),14766(a,1,1)),flip(a)]. 21895 a(x,y,z) \ (u * K(w,v5)) = (a(x,y,z) \ u) * K(w,v5). [para(21885(a,1),15605(a,1,1))]. 21896 x / a(a(y,z,u),w,v5) = a(a(y,z,u),w,v5) \ x. [hyper(21865,a,5768,a),flip(a)]. 21897 x / (y \ x) = y * K(z,a(a(u,w,v5),v6,v7)). [hyper(21865,a,134,a),flip(a)]. 21898 K(x,L(y,z,a(u,w,v5))) != v6 | K(x,y) = v6. [para(13868(a,1),21865(a,1)),flip(b)]. 21899 a(L(x,y,z) * u,w,K(v5,x)) = a(L(x,y,z),w,K(u,v5)). [hyper(14289,a,21882,a),flip(a)]. 21901 a(x,y,K(z,L(u \ y,w,v5))) = a(x,u,K(z,u \ y)). [hyper(236,a,11563,a(flip),b,21882,a)]. 21902 a(L(x,y,z),u,K(w,v5)) = a(x,u,K(w,v5)). [hyper(236,a,14392,a,b,21882,a(flip)),flip(a)]. 21903 a(x,y * ((y \ z) * u),K(w,(y * ((y \ z) * u)) \ z)) = a(x,z,K(u,w)). [hyper(236,a,12013,a,b,21882,a(flip)),flip(a)]. 21904 K(x,((y \ z) * u) \ (y \ (z * u))) = a(u,y \ z,K(y,x)). [hyper(236,a,18904,a(flip),b,21882,a(flip)),flip(a)]. 21906 T(x,a(L(y,z,u),w,v5)) = a(x,w,K(v5,y)) * x. [para(21882(a,1),14034(a,1,1)),flip(a)]. 21908 L(x,y,z) * a(x,u,K(w,v5)) = L(L(x,u,K(w,v5)),y,z). [para(21882(a,1),14925(a,1,2))]. 21911 a(L(x,y,z),u,K(w,v5)) = a(v5,u,K(x,w)). [hyper(236,a,13990,a(flip),b,21902,a)]. 21913 K(x,L(y,z,L(u,w,v5))) = a(u,z,K(y,x)) * K(x,y). [para(21902(a,1),11513(a,1,1)),flip(a)]. 21914 T(L(x,y,z) * a(x,u,K(w,v5)),a(v5,u,w) \ 1) = R(L(x,y,z),a(v5,u,w) \ 1,L(x,y,z)). [para(21902(a,1),14800(a,1,1,2))]. 21915 a(L(x,y,z),u,K(w,v5)) != v6 | a(x,u,K(w,v5)) = v6. [para(21911(a,2),14073(a,1))]. 21916 L(x,y,z) * (u * a(w,v5,K(x,v6))) = L(L(x,y,z),v5,K(v6,w)) * u. [para(21911(a,1),18793(a,1,2,2))]. 21918 T(x,a(L(y,z,u),w,v5)) != v6 | T(x,a(y,w,v5)) = v6. [para(21906(a,2),14077(a,1))]. 21919 (a(x,y,z) * a(u,w,v5)) * T(v6,a(x,y,z)) = (a(u,w,v5) * v6) * a(x,y,z). [para(21887(a,1),18767(a,1,1))]. 21920 a(a(x,y,z),u,w) \ (v5 * a(a(x,y,z),u,w)) = v5. [hyper(304,a,21896,a),flip(a)]. 21922 a(x,y,K(z,L(u,w,v5))) != v6 | a(x,y,K(z,u)) = v6. [para(14392(a,1),21915(a,1))]. 21924 x \ (a(a(y,z,u),w,v5) * x) = a(a(y,z,u),w,v5). [para(21920(a,1),57(a,1,2,2))]. 21925 L(a(x,y,K(z,u)),w,v5) != v6 | a(x,y,K(z,u)) = v6. [para(12125(a,1),21922(a,1))]. 21928 a(T(x,y * z),z,K(u,z \ w)) = a(u,z,K((y * z) \ (y * w),x)). [hyper(236,a,18438,a(flip),b,21901,a(flip))]. 21930 K(x,L(y,z,L(u,w,v5))) = K(x,L(y,z,u)). [hyper(236,a,11513,a(flip),b,21913,a)]. 21934 K(x,L(y,z,(u * w) \ v5)) = K(x,L(y,z,u \ (v5 / w))). [hyper(236,a,21152,a(flip),b,21930,a(flip)),flip(a)]. 21937 K(x,a(y,z,u) \ (w \ v5)) = K(x,w \ (a(y,z,u) \ v5)). [hyper(20142,a,21845,a)]. 21940 K(x,(a(y,z,z \ 1) \ u) \ w) = K(x,u \ (w * a(y,z,z \ 1))). [para(13894(a,1),21849(a,2,2,2))]. 21941 K(x,(a(y,z,u) \ (w \ 1)) \ v5) != v6 | K(x,w * (a(y,z,u) * v5)) = v6. [para(21849(a,2),14234(a,1))]. 21942 a(x,y,K(z,u)) * (w * v5) = w * (a(x,y,K(z,u)) * v5). [hyper(236,a,18774,a(flip),b,21870,a(flip))]. 21943 (a(x,y,K(z,u)) * (w * (v5 * v6))) \ (((a(x,y,K(z,u)) * w) * v5) * v6) = a(a(x,y,K(z,u)) * w,v5,v6). [para(21870(a,1),24(a,2,1)),flip(a)]. 21946 T(T(x,K(y,z)),y \ (a(u,w,v5) * z)) = T(x,z / (a(u,w,v5) \ y)). [hyper(236,a,20058,a(flip),b,21879,a(flip))]. 21947 K(x,((a(y,z,u) \ w) * K(v5,v6)) \ v7) = K(x,(w * K(v5,v6)) \ (a(y,z,u) * v7)). [para(21895(a,1),21849(a,1,2,1))]. 21948 a(L(x,y,z) * u,w,K(v5,x)) = a(x,w,K(u,v5)). [hyper(236,a,21902,a(flip),b,21899,a)]. 21950 (L(x,y,z) \ x) * (u / (L(x,y,z) \ x)) = u * a(x,y,K(u,z)). [para(21948(a,1),14403(a,2,2))]. 21951 T(K(x,y) * L(y,z,u),x) = L(L(y,z,K(u,x)),z,u). [hyper(236,a,18725,a,b,21908,a(flip)),flip(a)]. 21953 T(K(x,y) * L(y,z,u),x) = L(y,z,T(u,x)). [hyper(236,a,14766,a(flip),b,21951,a)]. 21954 T(K(x,y) * L(y,z,T(x,u) / (x / u)),x) = L(y,z,x / (x / u)). [para(3894(a,1),21953(a,2,3))]. 21956 K(x,L(y,z,(u * w) \ v5)) = K(x,L(y,z,u \ (w \ v5))). [hyper(236,a,19937,a(flip),b,21934,a)]. 21957 K(x,y \ (a(z \ 1,z,u) \ w)) = K(x,a(u,z,z \ 1) * (y \ w)). [hyper(236,a,18864,a(flip),b,21937,a(flip))]. 21958 K(x,y \ (a(z,u,w) \ (y * v5))) = K(x,a(z,u,w) \ v5). [para(13(a,1),21937(a,1,2,2)),flip(a)]. 21960 a(x,y,K(z,u)) * (w \ 1) = w \ a(x,y,K(z,u)). [hyper(366,a,21942,a),flip(a)]. 21961 x * (a(y,z,K(u,w)) * (x \ v5)) = a(y,z,K(u,w)) * v5. [hyper(307,a,21942,a),flip(a)]. 21962 a(x,y,K(z,u)) * (w * K(z,x)) = w * K(z,L(x,y,u)). [para(14021(a,1),21942(a,2,2))]. 21963 K(x,y * (a(z,u,K(w,v5)) * v6)) != v7 | K(x,y * v6) = v7. [para(21942(a,1),18099(a,1,2))]. 21964 (a(x,y,z) \ 1) \ a(u,w,K(v5,v6)) = a(u,w,K(v5,v6)) * a(x,y,z). [para(12739(a,1),21960(a,1,2)),flip(a)]. 21965 x \ (a(y,z,K(u,w)) * v5) != v6 | a(y,z,K(u,w)) * (x \ v5) = v6. [para(21961(a,1),283(a,1,2)),flip(b)]. 21967 K(x,y * (z \ L(u,w,K(v5,v6)))) != v7 | K(x,y * (z \ u)) = v7. [para(17795(a,1),21963(a,1,2,2))]. 21970 K(x,((y \ z) * u) \ (y \ (z * u))) = a(y,z,K(x,u)). [hyper(236,a,14413,a(flip),b,21904,a)]. 21971 K(x,K((y \ z) * u,y \ (z * u))) \ a(y,z,K(x,u)) = K(x,(y \ (z * u)) / ((y \ z) * u)). [hyper(72,a,21970,a(flip),b,9398,a)]. 21976 (L(x,y,z) \ x) * (u / (L(x,y,z) \ x)) = L(u,y,K(z,x)). [hyper(236,a,14675,a(flip),b,21950,a)]. 21978 L(x / (L(y,z,u) \ y),L(y,z,u) \ y,L(y,z,u)) = y \ (L(y,z,u) * L(x,z,K(u,y))). [para(21976(a,1),104(a,1,2,2)),flip(a)]. 21979 x \ ((a(y,z,K(u,w)) * v5) * v6) != v7 | a(y,z,K(u,w)) * (x \ (v5 * v6)) = v7. [para(21870(a,2),21965(a,1,2))]. 21980 a(x,y,K((z * y) \ (z * u),w)) = a(w,y,K(x,y \ u)). [hyper(17998,a,21928,a),flip(a)]. 21983 T(x,(a(y,z,u) * w) / v5) = T(x,w / (a(y,z,u) \ v5)). [hyper(236,a,20052,a(flip),b,21946,a(flip)),flip(a)]. 21984 T(x,T(y \ (a(z,u,w) * v5),v5)) = T(x,v5 / (a(z,u,w) \ y)). [hyper(236,a,20071,a,b,21983,a(flip)),flip(a)]. 21985 T(x,(a(y,z,u) \ (w / v5)) \ 1) = T(x,v5 / (a(y,z,u) \ w)). [hyper(236,a,18879,a(flip),b,21984,a(flip)),flip(a)]. 21986 T(x,y / (a(z,u,w) \ v5)) != v6 | T(x,(v5 / y) \ a(z,u,w)) = v6. [para(21985(a,1),6362(a,1))]. 21987 T(K(x,y) * L(y,z,T(x,u) * (u / x)),x) = L(y,z,x / (x / u)). [para(18293(a,1),21954(a,1,1,2))]. 21988 K(x,a(y,z,z \ 1) * ((u \ w) \ 1)) = K(x,w \ (a(z \ 1,z,y) \ u)). [hyper(236,a,20837,a(flip),b,21957,a(flip))]. 21989 (a(x,y,K(z,u)) * a(u,y,z)) * x = x * ((a(u,y,z) \ 1) \ 1). [para(21964(a,1),14078(a,1,1))]. 21990 T(a(x,y,z),u \ 1) * u = u * ((a(x,y,z) \ 1) \ 1). [para(14209(a,1),21989(a,1,1))]. 21991 T(a(x,y,z),u \ 1) * u = u * a(x,y,z). [para(12739(a,1),21990(a,2,2))]. 21992 T(a(x,y,z),a(u,w,v5) \ 1) = a(x,y,z). [hyper(18,a,21887,a,b,21991,a)]. 21993 K(a(x,y,z),u \ L(u,w,v5)) = 1. [hyper(71,a,21992,a(flip),b,13735,a),flip(a)]. 21994 K(x \ L(x,y,z),a(u,w,v5)) = 1. [hyper(73,a,21993,a,b,5101,a),flip(a)]. 21998 x * K(y \ L(y,z,u),a(w,v5,v6)) != v7 | v7 = x. [para(21994(a,2),83(a,1,2))]. 22001 L(x,y,T(T(z,u) * (u / z),z)) = L(x,y,z / (z / u)). [hyper(236,a,21953,a(flip),b,21987,a(flip)),flip(a)]. 22002 L(x,y,z / (z / u)) = L(x,y,z * (u / z)). [para(4268(a,1),22001(a,1,3)),flip(a)]. 22005 1 * K(x,(y / z) \ a(u,w,w \ 1)) = K(x,z / (y / a(u,w,w \ 1))). [para(20828(a,1),21859(a,1,2))]. 22008 a(x,y * ((y \ z) * u),K(w,L(u \ 1,z,y))) = a(x,z,K(u,w)). [para(14577(a,1),21903(a,1,3))]. 22009 a(x,y * ((y \ z) * x),K(u,L(w,z,y))) = a(w,z,K(x,u)). [hyper(14423,a,22008,a)]. 22010 x * L(x \ y,y,K(z,L(u,x,w))) = y * a(x \ y,x,K(z,u)). [para(22009(a,1),20850(a,1,2)),flip(a)]. 22011 x * a(y \ x,y,K(y \ z,u)) = x * a(x \ y,z,K((w * z) \ (w * y),u)). [hyper(236,a,18397,a(flip),b,22010,a(flip))]. 22013 K(x,a(y,z,z \ 1) / (u \ w)) = K(x,w \ (a(z \ 1,z,y) \ u)). [hyper(14282,a,21988,a)]. 22014 K(x,(y \ z) \ a(u,w,w \ 1)) = K(x,z \ (a(w \ 1,w,u) \ y)). [hyper(17716,a,22013,a)]. 22015 K(x,y \ (a(z \ 1,z,u) \ w)) = K(x,y \ (w * a(u,z,z \ 1))). [hyper(20112,a,22014,a),flip(a)]. 22016 K(x,y \ (z * a(u,w,w \ 1))) = K(x,a(u,w,w \ 1) * (y \ z)). [hyper(236,a,21957,a(flip),b,22015,a(flip))]. 22017 K(x,(a(y,z,z \ 1) \ u) \ w) = K(x,a(y,z,z \ 1) * (u \ w)). [hyper(236,a,21940,a,b,22016,a(flip)),flip(a)]. 22018 K(x,a(y,z,z \ 1) * (u \ (((y * z) \ y) * w))) = K(x,u \ ((z \ 1) * w)). [para(21495(a,1),22016(a,1,2,2)),flip(a)]. 22019 K(x,((y * a(z,y,y \ 1)) \ u) \ w) = K(x,a(z,y,y \ 1) * ((y \ u) \ w)). [para(21025(a,2),22017(a,1,2,1))]. 22020 K(x,a(y,z,z \ 1) * (((z \ 1) * u) \ w)) = K(x,(L(z \ 1,z,y) * u) \ w). [para(21491(a,1),22017(a,1,2,1)),flip(a)]. 22021 K(x,y / (z / a(u,w,w \ 1))) = K(x,(z / y) \ a(u,w,w \ 1)). [hyper(76,a,22005,a),flip(a)]. 22022 K(x,y / (a(z,u,u \ 1) \ w)) = K(x,(w / y) \ a(z,u,u \ 1)). [para(13896(a,1),22021(a,1,2,2))]. 22023 K(x,y / (a(z,u,u \ 1) \ w)) = K(x,a(z,u,u \ 1) * (y / w)). [hyper(236,a,21268,a(flip),b,22022,a)]. 22024 K(x,y / ((L(z \ 1,z,u) \ 1) \ w)) = K(x,a(u,z,z \ 1) * (y / (z \ w))). [hyper(236,a,21562,a(flip),b,22023,a(flip)),flip(a)]. 22025 (a(x,y,z) * a(u,w,v5)) * L(v6,y,K(z,x)) = (a(u,w,v5) * v6) * a(x,y,z). [para(14670(a,2),21919(a,1,2))]. 22026 K(x,(y \ (((z * u) \ z) * w)) * a(z,u,u \ 1)) = K(x,y \ ((u \ 1) * w)). [hyper(17723,a,22018,a)]. 22027 K(x,(y \ (a(z * u,(z * u) \ z,z * u) \ z)) * a(z,u,u \ 1)) = K(x,y \ ((u \ 1) * T(z * u,z))). [para(12330(a,2),22026(a,1,2,1,2))]. 22028 K(x,((a(y,z,u) \ w) * K(v5,v6)) \ v7) = K(x,K(v6,v5) * (w \ (a(y,z,u) * v7))). [hyper(236,a,19142,a(flip),b,21947,a)]. 22030 x * a(y \ x,y,K(y \ z,u)) = x * a(u,z,K(x \ y,z \ y)). [para(21980(a,1),22011(a,2,2))]. 22031 K(x,(((y \ 1) \ a(z,y,y \ 1)) \ u) \ w) = K(x,a(z,y,y \ 1) * ((y \ u) \ w)). [hyper(236,a,21560,a,b,22019,a(flip)),flip(a)]. 22032 K(x,a(y,y \ z,(y \ z) \ 1) * (u / ((y \ z) \ w))) = K(x,u / (((z \ (y * 1)) \ 1) \ w)). [para(450(a,1),22024(a,1,2,2,1,1)),flip(a)]. 22033 K(x,K(y,z) * ((a(u,w,v5) \ v6) \ v7)) = K(x,K(y,z) * (v6 \ (a(u,w,v5) * v7))). [hyper(19159,a,22028,a)]. 22034 K(x,K(y,a(z,u,w) \ (y \ v5)) * ((v5 / y) \ (a(z,u,w) * v6))) = K(x,((a(z,u,w) * y) \ v5) \ v6). [hyper(236,a,19255,a(flip),b,22033,a(flip))]. 22035 K(x,((L(y \ 1,y,z) \ 1) \ u) \ w) = K(x,a(z,y,y \ 1) * ((y \ u) \ w)). [para(21382(a,1),22031(a,1,2,1,1))]. 22036 K(x,(y \ (z * u)) / ((y \ z) * u)) = 1 \ a(y,z,K(x,u)). [para(21098(a,1),21971(a,1,1)),flip(a)]. 22037 K(x,(y \ (z * u)) / ((y \ z) * u)) = a(y,z,K(x,u)). [hyper(236,a,50,a(flip),b,22036,a)]. 22039 K(x,(y \ (z * ((z * u) / z))) / ((y \ T(z,u)) * u)) = a(y,T(z,u),K(x,u)). [para(3875(a,1),22037(a,1,2,1,2))]. 22040 K(x,(y \ T(z * u,z)) / ((y \ T(z,u)) * u)) = a(y,T(z,u),K(x,u)). [hyper(236,a,20675,a(flip),b,22039,a(flip)),flip(a)]. 22041 K(x,(y \ T(z * u,z)) / ((y \ T(z,u)) * u)) = a(y,z,K(x,u)). [hyper(236,a,20295,a(flip),b,22040,a)]. 22043 K(x,((y * ((y \ z) * ((y \ z) \ 1))) \ (z * ((y \ z) \ 1))) * (u / ((y \ z) \ w))) = K(x,u / (((z \ (y * 1)) \ 1) \ w)). [para(92(a,2),22032(a,1,2,1))]. 22044 K(x,(y \ K(z \ T(u * w,u),y \ 1)) * (z \ (w * u))) = K(x,(z \ T(u * w,u)) / y). [hyper(236,a,14060,a(flip),b,21664,a)]. 22045 K(x,(y \ K(z \ (u * w),y \ 1)) * (z \ (u * w))) = K(x,(z \ T(w * u,w)) / y). [para(16424(a,1),22044(a,1,2,1,2))]. 22046 K(x,(y \ T(z * u,z)) / w) = K(x,(y \ (u * z)) * (w \ 1)). [para(5071(a,1),22045(a,1,2)),flip(a)]. 22047 K(x,(y \ T(z * u,z)) / w) != v5 | K(x,(y \ (u * z)) / w) = v5. [para(22046(a,2),14282(a,1))]. 22048 K(x,(y \ (z * u)) / ((y \ T(u,z)) * z)) = a(y,u,K(x,z)). [hyper(22047,a,22041,a)]. 22049 L(x,y,(K(z,z \ u) * ((w \ (K(z \ u,z) * v5)) * w)) * K(u,z)) = L(x,y,T(v5 * K(u,z),w)). [para(5260(a,1),21803(a,1,3,1))]. 22050 L(x,y,K(z,z \ u) * (((w \ (K(z \ u,z) * v5)) * w) * K(u,z))) = L(x,y,T(v5 * K(u,z),w)). [para(7203(a,1),22049(a,1,3))]. 22051 L(x,y,K(z,u) * (((w \ (K(u \ z,u) * v5)) * w) * K(u,u \ z))) = L(x,y,T(v5 * K(z,u),w)). [para(13570(a,1),22050(a,1,3))]. 22052 L(x,y,K(z,u) * (T(w \ v5,K(u,u \ z)) * w)) = L(x,y,T(v5 * K(z,u),w)). [para(20859(a,1),22051(a,1,3,2))]. 22053 L(x,y,K(z,u) * ((w \ v5) * w)) = L(x,y,T(v5 * K(z,u),w)). [hyper(20715,a,22052,a)]. 22054 L(x,y,T(z * K(u,w),v5)) = L(x,y,K(u,w) * T(z,v5)). [hyper(236,a,18292,a(flip),b,22053,a(flip))]. 22055 L(x \ L(x,K(y,z),u),x,T(u * K(y,z),w)) = a(x,K(y,z),T(u,w)). [hyper(236,a,19720,a(flip),b,22054,a)]. 22056 L(x \ L(x,K(y,z),u),x,u * K(y,z)) = a(x,K(y,z),T(u,w)). [hyper(236,a,15192,a(flip),b,22055,a(flip)),flip(a)]. 22058 a(x,K(y,z),T(u,w)) = a(x,K(y,z),u). [hyper(236,a,18967,a(flip),b,22056,a(flip))]. 22059 L(x \ L(x,K(y,z),u),x,z * (u / T(z,y))) = a(x,K(y,z),u). [hyper(236,a,21305,a,b,22058,a(flip)),flip(a)]. 22061 K(x,(y / T(z,a(u,w,v5) \ (z \ y))) \ (a(u,w,v5) * v6)) = K(x,((a(u,w,v5) * z) \ y) \ v6). [hyper(236,a,19198,a(flip),b,22034,a(flip)),flip(a)]. 22062 K(x * ((K(K(y,z \ u) * w,w \ 1) / w) \ K(y,u * z)),v5) = K(x * (K(y,z \ u) / (w \ 1)),v5). [hyper(236,a,5439,a(flip),b,21736,a)]. 22063 (a(x,y,K(z,u)) * (w * (v5 * v6))) \ ((a(x,y,K(z,u)) * (w * v5)) * v6) = a(a(x,y,K(z,u)) * w,v5,v6). [para(21870(a,1),21943(a,1,2,1))]. 22064 K(x * ((K(K(y,z \ u) * w,w \ 1) / w) \ K(y,u * z)),v5) = K(x * (K(y,z \ u) * w),v5). [para(14503(a,1),22062(a,2,1,2))]. 22065 K(x * ((K(y,y \ K(z,u \ w)) / y) \ K(z,w * u)),v5) = K(x * (K(z,u \ w) * y),v5). [para(18704(a,1),22064(a,1,1,2,1,1))]. 22066 K(x * ((K(y,y \ K(z,u * w)) / y) \ K(z,w * u)),v5) = K(x * (K(z,u \ w) * y),v5). [para(21728(a,1),22065(a,1,1,2,1,1))]. 22067 K(x * (y * (K(z,u * w) * K(y \ K(z,w * u),y))),v5) = K(x * (K(z,w \ u) * y),v5). [para(19207(a,1),22066(a,1,1,2))]. 22068 K(x * (y * ((y \ K(z,u * w)) * y)),v5) = K(x * (K(z,w \ u) * y),v5). [para(18372(a,1),22067(a,1,1,2,2))]. 22069 K(x * (K(y,z * u) / (1 / w)),v5) = K(x * (K(y,u \ z) * w),v5). [para(19876(a,1),22068(a,1,1,2))]. 22070 K(x * (K(y,z * u) / (w \ 1)),v5) = K(x * (K(y,u \ z) * w),v5). [hyper(6112,a,22069,a)]. 22071 K(x * (K(y,z \ u) * w),v5) = K(x * (K(y,u * z) * w),v5). [para(14503(a,1),22070(a,1,1,2)),flip(a)]. 22072 x / (K(y * (K(z,u * w) * v5),v6) * x) = K(v6,y * (K(z,w \ u) * v5)). [para(22071(a,1),5266(a,1,2,1))]. 22073 K(x,y * (K(z,u \ w) * v5)) = K(x,y * (K(z,w * u) * v5)). [hyper(17977,a,22072,a),flip(a)]. 22074 K(x,y * ((T(z / u,w) \ z) / v5)) = K(x,y * (K(w,z * u) * (u / v5))). [hyper(236,a,21139,a,b,22073,a(flip)),flip(a)]. 22075 K(x,((y * z) \ u) * (K(w,z * w) * v5)) = K(x,((y * ((w \ z) * w)) \ u) * v5). [hyper(236,a,21191,a(flip),b,22073,a(flip))]. 22076 K(x,y * ((T(1 / z,u) \ 1) / w)) = K(x,y * (K(u,z) * (z / w))). [para(11(a,1),22074(a,2,2,2,1,2))]. 22077 K(x,y * ((T(1 / z,u) \ 1) / w)) = K(x,y * (T(z,u) / w)). [hyper(236,a,18216,a(flip),b,22076,a)]. 22078 K(x,((y * z) \ u) * (K(w,w * z) * v5)) = K(x,((y * ((w \ z) * w)) \ u) * v5). [para(6605(a,1),22075(a,1,2,2,1))]. 22079 K(x,((y * ((z \ u) * z)) \ w) * v5) = K(x,((y * u) \ w) * (K(z,u) * v5)). [hyper(236,a,13091,a(flip),b,22078,a(flip))]. 22080 K(x,((y * ((z \ u) * z)) \ w) * v5) = K(x,((y * T(u,z)) \ w) * v5). [hyper(236,a,21190,a(flip),b,22079,a)]. 22081 K(x,((y * T(z,u)) \ w) * T(v5,(y * ((u \ z) * u)) \ w)) = K(x,v5 * ((y * ((u \ z) * u)) \ w)). [para(119(a,1),22080(a,1,2)),flip(a)]. 22082 K(x,((y * T(z,u)) \ w) * T(v5,(y * T(z,u)) \ w)) = K(x,v5 * ((y * ((u \ z) * u)) \ w)). [para(19719(a,1),22081(a,1,2,2))]. 22083 K(x,y * ((z * ((u \ w) * u)) \ v5)) = K(x,y * ((z * T(w,u)) \ v5)). [para(119(a,1),22082(a,1,2)),flip(a)]. 22084 K(x,y * (((z * u) \ w) * K(u,v5))) = K(x,y * ((z * T(u,v5)) \ w)). [hyper(236,a,21188,a(flip),b,22083,a(flip)),flip(a)]. 22085 K(x,y * ((z * ((u * w) / u)) \ v5)) = K(x,y * ((z * T(w,u)) \ v5)). [hyper(236,a,21185,a,b,22084,a(flip)),flip(a)]. 22087 K(x,((y * ((z * u) / z)) \ w) * v5) = K(x,K(v5,y * (u * w))) * K(x,v5 * ((y * T(u,z)) \ w)). [para(22085(a,1),20660(a,1,2)),flip(a)]. 22088 K(x,((y * ((z * u) / z)) \ w) * v5) = K(x,((y * T(u,z)) \ w) * v5). [hyper(236,a,20252,a(flip),b,22087,a)]. 22089 K(x,((y * ((y * z) / R(y,u,y))) \ w) * v5) = K(x,((L(y,u,y) * T(z,y)) \ w) * v5). [para(12977(a,1),22088(a,1,2,1,1))]. 22090 K(x,((L(y,z,y) * T(u,y)) \ w) * v5) = K(x,(T(y * u,y) \ w) * v5). [hyper(20469,a,22089,a),flip(a)]. 22091 K(x,((L(y,z,y) * T(u,y)) \ w) * v5) = K(x,((u * y) \ w) * v5). [hyper(236,a,19561,a(flip),b,22090,a)]. 22092 K(x,((y * L(z,u,z)) \ w) * v5) = K(x,((y * z) \ w) * v5). [para(8305(a,1),22091(a,1,2,1,1))]. 22093 K(x,((y * L(z / y,u,z / y)) \ y) * w) = K(x,(z \ (z / (z / y))) * w). [para(5319(a,1),22092(a,2,2,1))]. 22094 K(x,((y * L(z / y,u,y \ z)) \ y) * w) = K(x,(z \ (z / (z / y))) * w). [para(7391(a,1),22093(a,1,2,1,1,2))]. 22095 K(x,((y * L(z / y,u,y \ z)) \ y) * w) = K(x,(z \ T(y,z)) * w). [hyper(236,a,21746,a(flip),b,22094,a)]. 22096 K(x,((y * L(z / y,u,y \ z)) \ y) * w) = K(x,(y / z) * w). [hyper(236,a,18431,a(flip),b,22095,a)]. 22097 a(x,y,K(z,u)) * ((a(x,y,K(z,u)) * (w * (v5 * v6))) \ ((w * v5) * v6)) = a(a(x,y,K(z,u)) * w,v5,v6). [hyper(21979,a,22063,a)]. 22098 a(x,y,K(z,u)) * (a(u,y,K(z,x)) * ((w * (v5 * v6)) \ ((w * v5) * v6))) = a(a(x,y,K(z,u)) * w,v5,v6). [para(21130(a,1),22097(a,1,2))]. 22099 a(x,y,K(z,u)) * (a(u,y,K(z,x)) * a(w,v5,v6)) = a(a(x,y,K(z,u)) * w,v5,v6). [para(24(a,2),22098(a,1,2,2))]. 22100 a(a(x,y,K(z,u)) * w,v5,v6) = a(w,v5,v6). [hyper(14029,a,22099,a)]. 22101 a(a(x,y,K(z,u)) * w,v5,v6) != v7 | a(w,v5,v6) = v7. [para(22099(a,1),14029(a,1)),flip(b)]. 22103 a(L(x,y,K(z,u)),w,v5) = a(x,w,v5). [para(14671(a,1),22100(a,1,1))]. 22104 a((K(x,y) * z) \ (u * K(x,y)),w,v5) = a(z \ u,w,v5). [hyper(236,a,18925,a(flip),b,22103,a(flip)),flip(a)]. 22105 a(x * K(y,L(z,u,w)),v5,v6) != v7 | a(x * K(y,z),v5,v6) = v7. [para(21962(a,1),22101(a,1,1))]. 22107 a(T(x,K(y,z)) \ (u * K(y,z)),w,v5) = a((x / K(y,z)) \ u,w,v5). [para(8193(a,1),22104(a,1,1,1))]. 22108 a(x \ (y * K(z,u)),w,v5) != v6 | a((x \ y) * K(z,u),w,v5) = v6. [para(18800(a,1),22105(a,1,1))]. 22109 a(x \ (y * K(z,u)),w,v5) = a((x \ y) * K(z,u),w,v5). [hyper(22108,a,xx),flip(a)]. 22110 a((x / K(y,z)) \ u,w,v5) = a(x \ (u * K(y,z)),w,v5). [hyper(18919,a,22107,a),flip(a)]. 22111 a((x * K(y,z)) \ u,w,v5) = a(x \ (u * K(z,y)),w,v5). [para(7547(a,1),22110(a,1,1,1))]. 22112 a((x * K(y,z)) \ u,w,v5) = a((x \ u) * K(z,y),w,v5). [hyper(236,a,22109,a(flip),b,22111,a)]. 22113 a((L(x * y,z,x * y) \ u) * K(L(w,y,x),v5),v6,v7) = a((x * (y * K(v5,w))) \ u,v6,v7). [hyper(236,a,13626,a(flip),b,22112,a(flip))]. 22114 a((L(x * y,z,x * y) \ u) * K(w,L(v5,y,x)),v6,v7) = a((x * (y * K(v5,w))) \ u,v6,v7). [para(11533(a,1),22113(a,1,1,2))]. 22115 a((L(x * y,z,x * y) \ u) * K(w,v5),v6,v7) = a((x * (y * K(v5,w))) \ u,v6,v7). [hyper(22105,a,22114,a)]. 22116 a((x * (y * K(z,u))) \ w,v5,v6) != v7 | a(((x * y) \ w) * K(u,z),v5,v6) = v7. [para(22115(a,1),13600(a,1))]. 22117 K(x,T(y,z) * T(a(u,w,v5) \ z,a(u,w,v5))) = K(x,T((a(u,w,v5) \ z) * y,a(u,w,v5))). [para(17675(a,1),21678(a,1,2,1))]. 22118 K(x,T((a(y,z,u) \ w) * v5,a(y,z,u))) = K(x,T(v5,w) * (a(y,z,u) \ w)). [hyper(18097,a,22117,a),flip(a)]. 22120 K(x,T(y,z) * (a(u,w,v5) \ z)) = K(x,(a(u,w,v5) \ z) * y). [hyper(17718,a,22118,a),flip(a)]. 22122 K(x,a(y,z,u) \ ((w \ 1) \ v5)) = K(x,(a(y,z,u) \ w) * v5). [hyper(236,a,21641,a,b,22120,a(flip)),flip(a)]. 22123 K(x,L(y * (a(z,u,w) \ v5),v5,a(w,u,z) \ 1)) = K(x,(a(z,u,w) \ y) * v5). [hyper(20121,a,22122,a)]. 22124 K(x,L(y * (a(z,u,w) \ v5),v5,a(z,u,w))) = K(x,(a(z,u,w) \ y) * v5). [hyper(236,a,14950,a(flip),b,22123,a(flip)),flip(a)]. 22125 K(x,(a(y,z,u) \ w) * v5) = K(x,w * (a(y,z,u) \ v5)). [hyper(21898,a,22124,a),flip(a)]. 22126 K(x,(a(y,z,u) \ w) * v5) != v6 | K(x,w * (a(y,z,u) \ v5)) = v6. [para(22124(a,1),21898(a,1))]. 22128 K(x,(y * K(a(z,u,w) \ y,v5)) * (a(z,u,w) \ v6)) = K(x,T(a(z,u,w) \ y,v5) * v6). [para(6226(a,1),22125(a,1,2,1)),flip(a)]. 22129 K(x,(a(y,z,u) \ w) * (v5 * K(a(y,z,u) \ v5,v6))) = K(x,w * T(a(y,z,u) \ v5,v6)). [para(6226(a,1),22125(a,2,2,2))]. 22130 K(x,y * ((a(z,u,w) \ v5) * K(a(z,u,w) \ y,v6))) = K(x,T(a(z,u,w) \ y,v6) * v5). [hyper(19460,a,22128,a)]. 22131 K(x,(a(y,z,u) \ w) * (v5 * K(a(y,z,u) * v5,v6))) = K(x,w * T(a(y,z,u) \ v5,v6)). [hyper(236,a,21729,a(flip),b,22129,a(flip)),flip(a)]. 22132 K(x,y * ((a(z,u,w) \ v5) * K(a(z,u,w) * y,v6))) = K(x,T(a(z,u,w) \ y,v6) * v5). [hyper(236,a,21729,a(flip),b,22130,a(flip)),flip(a)]. 22133 K(x,(y \ (a(z * u,u \ 1,z * u) \ z)) * a(z,u,u \ 1)) = K(x,y \ ((u \ 1) * T(z * u,z))). [para(10886(a,1),22027(a,1,2,1,2,1))]. 22135 K(x,(y \ z) * (a(z * u,u \ 1,z * u) \ a(z,u,u \ 1))) = K(x,y \ ((u \ 1) * T(z * u,z))). [para(12974(a,1),22133(a,1,2))]. 22136 K(x,y \ ((z \ 1) * T(u * z,u))) = K(x,(y \ u) * a(u,z,z \ 1)). [hyper(236,a,13015,a(flip),b,22135,a(flip))]. 22138 K(x,(y \ z) * a(z,u,u \ 1)) = K(x,y \ ((u \ 1) * (u * z))). [hyper(236,a,19481,a(flip),b,22136,a(flip))]. 22139 K(x,(y \ z) * a(z,u,u \ 1)) = K(x,y \ L(z,u,u \ 1)). [hyper(236,a,5931,a(flip),b,22138,a)]. 22140 K(x,R(x,y * z,a(x,y,z)) * (((x * y) * z) \ (((y * z) * a(x,y,z)) * u))) = K(x,L(u,y * z,a(x,y,z))). [hyper(236,a,15351,a(flip),b,21848,a)]. 22142 K(x,R(x,y * z,a(x,y,z)) * (((x * y) * z) \ (((y * z) * a(x,y,z)) * u))) = K(x,u). [hyper(236,a,21844,a(flip),b,22140,a)]. 22144 K(x,x * (((x * y) * z) \ (((y * z) * a(x,y,z)) * u))) = K(x,u). [hyper(236,a,15588,a(flip),b,22142,a(flip)),flip(a)]. 22146 K(x,(y * z) \ (((y * z) * a(x,y,z)) * u)) = K(x,u). [hyper(236,a,12854,a(flip),b,22144,a(flip)),flip(a)]. 22147 (a(x,y,K(z,u)) * (w * v5)) \ ((a(x,y,K(z,u)) * w) * (v5 * v6)) = L(v6,L(v5,w,a(x,y,K(z,u))),w * a(x,y,K(z,u))). [para(17667(a,1),21871(a,2,3))]. 22148 K(x,((y * ((y \ z) * ((y \ z) \ 1))) \ (z * ((y \ z) \ 1))) * (u / ((y \ z) \ w))) = K(x,u / (((z \ y) \ 1) \ w)). [para(12(a,1),22043(a,2,2,2,1,1,2))]. 22149 K(x,(y \ (z * ((y \ z) \ 1))) * (u / ((y \ z) \ w))) = K(x,u / (((z \ y) \ 1) \ w)). [para(56(a,1),22148(a,1,2,1,1))]. 22150 K(x,((y * z) \ (y * (((y * z) \ y) \ 1))) * (u / (((y * z) \ y) \ w))) = K(x,u / ((z \ 1) \ w)). [para(13(a,1),22149(a,2,2,2,1,1))]. 22151 K(x,(y \ (((z * y) \ z) \ 1)) * (u / (((z * y) \ z) \ w))) = K(x,u / ((y \ 1) \ w)). [para(21392(a,1),22150(a,1,2,1))]. 22152 K(x,(((y * z) \ y) * z) \ (u / (((y * z) \ y) \ w))) = K(x,u / ((z \ 1) \ w)). [para(21345(a,1),22151(a,1,2))]. 22153 K(x,a(y,z,z \ 1) * (u / (((y * z) \ y) \ w))) = K(x,u / ((z \ 1) \ w)). [hyper(236,a,21399,a(flip),b,22152,a(flip)),flip(a)]. 22154 a(x,y,K(z,u)) * ((a(x,y,K(z,u)) * (w * v5)) \ (w * (v5 * v6))) = L(v6,L(v5,w,a(x,y,K(z,u))),w * a(x,y,K(z,u))). [hyper(21979,a,22147,a)]. 22155 a(x,y,K(z,u)) * (a(u,y,K(z,x)) * ((w * v5) \ (w * (v5 * v6)))) = L(v6,L(v5,w,a(x,y,K(z,u))),w * a(x,y,K(z,u))). [para(21130(a,1),22154(a,1,2))]. 22156 L(x,L(y,z,a(u,w,K(v5,v6))),z * a(u,w,K(v5,v6))) = a(u,w,K(v5,v6)) * (a(v6,w,K(v5,u)) * L(x,y,z)). [para(28(a,2),22155(a,1,2,2)),flip(a)]. 22157 L(x,L(y,z,a(u,w,K(v5,v6))),z * a(u,w,K(v5,v6))) = L(x,y,z). [hyper(236,a,14028,a(flip),b,22156,a)]. 22159 L(x,y,z * a(u,w,K(v5,v6))) = L(x,y,z). [para(21868(a,1),22157(a,1,2))]. 22160 L(x,y,K(z,L(u,w,v5))) = L(x,y,K(z,u)). [para(11482(a,1),22159(a,1,3))]. 22161 L(x,y,a(z,u,K(w,v5)) * v6) = L(x,y,v6). [para(17667(a,2),22159(a,1,3))]. 22162 L(L(x,y,K(z,u)),w,a(v5,v6,K(v7,v8))) = L(x,y,K(z,L(u,v9,v10))). [hyper(236,a,21868,a,b,22160,a),flip(a)]. 22163 L(x,y,z) * L(u,w,K(v5,L(x,y,z))) = L(L(x,y,z) * u,w,K(v5,x)). [hyper(236,a,21117,a(flip),b,22160,a(flip)),flip(a)]. 22164 L(x,L(y,z,K(u,w)),v5) = L(x,y,v5). [hyper(236,a,20878,a(flip),b,22161,a(flip)),flip(a)]. 22167 L(L(L(x \ 1,y,K(z,u)),x,y),y * L(x,y,K(z,u)),K(u,z)) = ((K(u,z) * y) * x) \ (K(u,z) * y). [para(22164(a,1),19998(a,1,1))]. 22168 L(x,y,K(z,L(u,w,v5))) != v6 | L(x,y,K(z,u)) = v6. [para(22162(a,1),326(a,1)),flip(b)]. 22169 L(x,y,K((z * u) \ w,v5)) != v6 | L(x,y,K(u \ (z \ w),v5)) = v6. [para(11477(a,1),22168(a,1,3))]. 22170 L(L(x,y,z) * u,w,K(v5,x)) = L(x,y,z) * L(u,w,K(v5,x)). [para(22160(a,1),22163(a,1,2)),flip(a)]. 22171 L(L(x,y,z) * (x \ u),y,K(z,x)) != w | (u / x) * L(x,y,z) = w. [para(22170(a,2),14735(a,1))]. 22172 L(x / (L(y,z,u) \ y),L(y,z,u) \ y,L(y,z,u)) = y \ L(L(y,z,u) * x,z,K(u,y)). [para(22170(a,2),21978(a,2,2))]. 22174 L(x / (L(y,z,u) \ y),L(y,z,u) \ y,L(y,z,u)) = L(y \ (L(y,z,u) * x),z,K(u,y)). [hyper(236,a,14774,a,b,22172,a)]. 22175 L(x / (L(y,z,u) \ y),L(y,z,u) \ y,L(y,z,u)) = L(L(y,z,u) * (y \ x),z,K(u,y)). [para(1205(a,1),22174(a,2,1))]. 22176 L(x / (L(y,z,u) \ y),L(y,z,u) \ y,L(y,z,u)) = (x / y) * L(y,z,u). [hyper(22171,a,22175,a(flip)),flip(a)]. 22177 L(L(L(x \ 1,y,K(z,u)),x,y),y * x,K(u,z)) = ((K(u,z) * y) * x) \ (K(u,z) * y). [hyper(236,a,20325,a(flip),b,22167,a(flip)),flip(a)]. 22180 ((K(x,y) * z) * u) \ (K(x,y) * z) = (z * u) \ z. [hyper(236,a,20477,a(flip),b,22177,a(flip))]. 22182 a(K(x,y) * z,u,u \ 1) \ w = w * (u * ((z * u) \ z)). [para(22180(a,1),21384(a,1,2,2)),flip(a)]. 22183 a(K(x,y) * z,u,u \ 1) \ w = a(z,u,u \ 1) \ w. [hyper(236,a,21384,a(flip),b,22182,a)]. 22184 K(x,y) / (a(z,u,u \ 1) \ (z \ 1)) = R(K(x,y) * z,u,u \ 1). [para(22183(a,1),20553(a,1,2))]. 22185 K(x,y) / (R(z,u,u \ 1) \ 1) = R(K(x,y) * z,u,u \ 1). [para(18836(a,1),22184(a,1,2))]. 22187 R(K(x,y) * z,u,u \ 1) = K(x,y) * R(z,u,u \ 1). [hyper(14504,a,22185,a),flip(a)]. 22188 (K(x,y) * z) \ R(K(x,y) * z,u,u \ 1) = a(z,u,u \ 1). [para(22187(a,2),18847(a,1,2))]. 22189 a(K(x,y) * z,u,u \ 1) = a(z,u,u \ 1). [hyper(690,a,22188,a)]. 22190 a(x * K(y,z),u,u \ 1) = a(x,u,u \ 1). [hyper(18920,a,22189,a)]. 22191 a(x \ (y * K(z,u)),w,w \ 1) = a(x \ y,w,w \ 1). [hyper(236,a,22109,a,b,22190,a(flip)),flip(a)]. 22192 a(x \ (K(y,z) * u),w,w \ 1) = a(x \ u,w,w \ 1). [hyper(236,a,18918,a,b,22191,a(flip)),flip(a)]. 22193 a(x \ ((y / z) * u),w,w \ 1) = a(x \ ((z \ y) * u),w,w \ 1). [para(6487(a,1),22191(a,1,1,2))]. 22194 a(x \ (y * (z * u)),w,w \ 1) = a(x \ (y * (u * z)),w,w \ 1). [para(7575(a,1),22191(a,1,1,2))]. 22195 a((x * ((x \ (y \ z)) * x)) \ ((((y \ z) / x) \ (y \ z)) * z),u,u \ 1) = L(a(y,u,u \ 1),z,(y \ z) / ((y \ z) / x)). [hyper(236,a,20980,a(flip),b,22193,a(flip))]. 22196 a(x \ (K(y,z) * (u * w)),v5,v5 \ 1) = a(x \ (w * u),v5,v5 \ 1). [hyper(236,a,22192,a(flip),b,22194,a)]. 22197 a(x \ (y * (K(z,y) * u)),w,w \ 1) = a(x \ (u * y),w,w \ 1). [para(5363(a,1),22196(a,1,1,2))]. 22199 a(x \ ((y / (y / z)) * u),w,w \ 1) = a(x \ (u * z),w,w \ 1). [para(5573(a,2),22197(a,1,1,2))]. 22200 a(((x \ y) * z) \ ((u / (u / z)) * y),w,w \ 1) = R(a(x,w,w \ 1),y,z). [hyper(236,a,18884,a(flip),b,22199,a)]. 22201 a(((x \ y) * z) \ (((u / z) \ u) * y),w,w \ 1) = R(a(x,w,w \ 1),y,z). [hyper(236,a,22193,a(flip),b,22200,a(flip)),flip(a)]. 22202 a(((x \ y) * z) \ (z * y),u,u \ 1) = R(a(x,u,u \ 1),y,z). [para(65(a,1),22201(a,1,1,2,1))]. 22203 L(a(x,y,y \ 1),z,(x \ z) / ((x \ z) / u)) = a((u * ((u \ (x \ z)) * u)) \ (u * z),y,y \ 1). [para(65(a,1),22195(a,1,1,2,1)),flip(a)]. 22204 L(a(x,y,y \ 1),z,(x \ z) / ((x \ z) / u)) = a(((x \ z) * u) \ (u * z),y,y \ 1). [hyper(236,a,13621,a(flip),b,22203,a)]. 22206 L(a(x,y,y \ 1),z,(x \ z) / ((x \ z) / u)) = R(a(x,y,y \ 1),z,u). [hyper(236,a,22202,a(flip),b,22204,a)]. 22207 L(a(x,y,y \ 1),z,(x \ z) * (u / (x \ z))) = R(a(x,y,y \ 1),z,u). [hyper(236,a,22002,a(flip),b,22206,a(flip)),flip(a)]. 22208 L(T(x,K(y,z) * (a(u,w,v5) * y)),a(u,w,v5) * y,K(y,z)) = K(x,T(a(u,w,v5) * y,z)) * L(x,a(u,w,v5),K(y,z)). [para(20322(a,1),21685(a,2,2))]. 22209 L(T(x,K(y,z) * (a(u,w,v5) * y)),a(u,w,v5) * y,K(y,z)) = K(x,T(a(u,w,v5) * y,z)) * x. [para(20094(a,1),22208(a,2,2))]. 22210 L(T(x,K(y,z) * (a(u,w,v5) * y)),a(u,w,v5) * y,K(y,z)) = T(x,T(a(u,w,v5) * y,z)). [hyper(236,a,4897,a,b,22209,a)]. 22211 L(T(x,a(y,z,u) * T(w,v5)),a(y,z,u) * w,K(w,v5)) = T(x,T(a(y,z,u) * w,v5)). [para(16146(a,1),22210(a,1,1))]. 22212 L(T(x,a(y,z,u) * T(w,v5)),a(y,z,u),K(w,v5)) = T(x,T(a(y,z,u) * w,v5)). [hyper(20323,a,22211,a)]. 22213 T(x,T(a(y,z,u) * w,v5)) = T(x,a(y,z,u) * T(w,v5)). [hyper(20108,a,22212,a)]. 22215 T(x,T(a(y,z,u) * w,v5)) = T(x,T(w,v5) * a(y,z,u)). [hyper(17686,a,22213,a(flip)),flip(a)]. 22216 T(x,y \ (a(z,u,w) * K(y \ 1,v5))) = T(x,T(a(z,u,w) * (y \ 1),v5)). [hyper(16325,a,22215,a(flip))]. 22217 T(x,y \ (a(z,u,w) * K(y \ 1,v5))) = T(x,T(a(z,u,w) / y,v5)). [hyper(236,a,14826,a(flip),b,22216,a)]. 22218 T(x,y \ (a(z,u,w) * K(y \ 1,v5))) = T(x,T(y \ a(z,u,w),v5)). [hyper(236,a,18425,a(flip),b,22217,a)]. 22219 T(x,(y \ a(z,u,w)) * K(y \ 1,v5)) = T(x,T(y \ a(z,u,w),v5)). [para(9629(a,1),22218(a,1,2))]. 22220 T(x,(y \ a(z,u,w)) * K(y,v5)) = T(x,T(y \ a(z,u,w),v5)). [hyper(236,a,15852,a(flip),b,22219,a(flip)),flip(a)]. 22221 T(x,T(y,z) \ a(u,w,v5)) = T(x,T(y \ a(u,w,v5),z)). [hyper(236,a,16258,a(flip),b,22220,a(flip)),flip(a)]. 22222 K(x,(T(y,z) \ T(z,T(u \ a(w,v5,v6),v7))) * v8) = K(x,(T(z,T(u,v7) \ a(w,v5,v6)) / y) * v8). [para(22221(a,1),20472(a,1,2,1,2))]. 22223 K(x,(T(y,z) \ T(z,u \ a(w,v5,v6))) * v7) = K(x,(T(z,T(u,v8) \ a(w,v5,v6)) / y) * v7). [hyper(236,a,19342,a(flip),b,22222,a(flip)),flip(a)]. 22225 K(x,(T(y,z) \ T(z,u * a(w,v5,v6))) * v7) = K(x,(T(z,T(u,v8) \ a(w,v5,v6)) / y) * v7). [hyper(236,a,21748,a(flip),b,22223,a(flip)),flip(a)]. 22226 ((x * (1 / y)) \ x) \ T((x * (1 / y)) \ x,T(z,u * (w * (v5 * v6)))) = T(K(y,T(z,u * (w * (v6 \ v5)))),(1 / y) \ 1). [hyper(236,a,6365,a(flip),b,21767,a)]. 22228 ((x * (1 / y)) \ x) \ T((x * (1 / y)) \ x,T(z,u * (w * (v5 * v6)))) = T(K(y,T(z,u * (w * (v6 \ v5)))),y). [para(65(a,1),22226(a,2,2))]. 22229 ((x * (1 / y)) \ x) \ T((x * (1 / y)) \ x,T(z,u * (w * (v5 * v6)))) = K(y,T(z,u * (w * (v6 \ v5)))). [hyper(236,a,3248,a(flip),b,22228,a)]. 22230 K((x * (1 / y)) \ x,T(z,u * (w * (v5 * v6)))) = K(y,T(z,u * (w * (v6 \ v5)))). [hyper(4956,a,22229,a)]. 22231 K((1 / x) \ 1,T(y,z * (u * (w * v5)))) = K(x,T(y,z * (u * (v5 \ w)))). [hyper(6345,a,22230,a)]. 22232 K(x,T(y,z * (u * (w \ v5)))) = K(x,T(y,z * (u * (v5 * w)))). [hyper(8411,a,22231,a),flip(a)]. 22235 K(x,((y / z) * u) / ((y * (z \ 1)) \ ((y / z) * 1))) = K(x,T((y * (z \ 1)) * u,(y / z) * (y * (1 * z)))). [hyper(236,a,21408,a,b,22232,a(flip)),flip(a)]. 22236 K(x,((y / z) * u) / ((y * (z \ 1)) \ ((y / z) * 1))) = K(x,T((y * (z \ 1)) * u,(y / z) * (y * z))). [para(11(a,1),22235(a,2,2,2,2,2))]. 22237 K(x,((y / z) * u) / ((y * (z \ 1)) \ ((y / z) * 1))) = K(x,T((y * (z \ 1)) * u,(y * z) * (y / z))). [hyper(236,a,15991,a,b,22236,a)]. 22238 K(x,((y / z) * u) / ((y * (z \ 1)) \ ((y / z) * 1))) = K(x,T((y * (z \ 1)) * u,(y * z) * (y * z))). [hyper(236,a,20161,a(flip),b,22237,a)]. 22239 K(x,((y / z) * u) / ((y * (z \ 1)) \ ((y / z) * 1))) = K(x,(y * (z \ 1)) * u). [hyper(236,a,15985,a(flip),b,22238,a)]. 22241 K(x,((y / z) * u) / ((y * (z \ 1)) \ (y / z))) = K(x,(y * (z \ 1)) * u). [para(12(a,1),22239(a,1,2,2,2))]. 22242 K(x,((y / z) * u) / (z * (y \ (y / z)))) = K(x,(y * (z \ 1)) * u). [para(21398(a,1),22241(a,1,2,2))]. 22243 K(x,(y * (z \ (z / y))) \ ((z / y) * u)) = K(x,(z * (y \ 1)) * u). [para(7050(a,1),22242(a,1,2))]. 22244 K(x,a(y,z \ 1,z) * ((y / z) * u)) = K(x,(y * (z \ 1)) * u). [hyper(236,a,21475,a(flip),b,22243,a(flip)),flip(a)]. 22245 ((x * (1 / y)) \ x) \ T((x * (1 / y)) \ x,z * (K(u * w,v5) * v6)) = T(K(y,z * (K(w \ u,v5) * v6)),(1 / y) \ 1). [hyper(236,a,6365,a(flip),b,21774,a)]. 22247 ((x * (1 / y)) \ x) \ T((x * (1 / y)) \ x,z * (K(u * w,v5) * v6)) = T(K(y,z * (K(w \ u,v5) * v6)),y). [para(65(a,1),22245(a,2,2))]. 22248 ((x * (1 / y)) \ x) \ T((x * (1 / y)) \ x,z * (K(u * w,v5) * v6)) = K(y,z * (K(w \ u,v5) * v6)). [hyper(236,a,3248,a(flip),b,22247,a)]. 22249 K((x * (1 / y)) \ x,z * (K(u * w,v5) * v6)) = K(y,z * (K(w \ u,v5) * v6)). [hyper(4956,a,22248,a)]. 22250 K((1 / x) \ 1,y * (K(z * u,w) * v5)) = K(x,y * (K(u \ z,w) * v5)). [hyper(6345,a,22249,a)]. 22251 K(x,y * (K(z \ u,w) * v5)) = K(x,y * (K(u * z,w) * v5)). [hyper(8411,a,22250,a),flip(a)]. 22252 K(x,y * (K(z * u,w) * (v5 / w))) = K(x,y * (v5 / T(w,u \ z))). [hyper(16728,a,22251,a),flip(a)]. 22254 K(x,y * (z / T(u,w \ v5))) != v6 | K(x,y * (z / T(u,v5 * w))) = v6. [para(22252(a,1),16728(a,1))]. 22255 K(x,y * ((z \ u) / T(w,u * z))) = K(x,y * (w \ (z \ u))). [hyper(22254,a,13157,a)]. 22256 K(x,y * ((T(1 / (z / u),z) \ 1) / T(w,1 * T(1 / (z / u),z)))) = K(x,y * (w \ (T(z,z \ u) / u))). [para(14473(a,1),22255(a,2,2,2,2))]. 22257 K(x,y * ((T(1 / (z / u),z) \ 1) / T(w,T(1 / (z / u),z)))) = K(x,y * (w \ (T(z,z \ u) / u))). [para(11(a,1),22256(a,1,2,2,2,2))]. 22258 K(x,y * ((T(1 / (z / u),z) \ 1) / T(w,T((z / u) \ 1,z)))) = K(x,y * (w \ (T(z,z \ u) / u))). [para(3032(a,1),22257(a,1,2,2,2))]. 22259 K(x,y * ((T(1 / (z / u),z) \ 1) / T(w,z \ u))) = K(x,y * (w \ (T(z,z \ u) / u))). [para(8610(a,1),22258(a,1,2,2,2))]. 22260 K(x,y * ((T(1 / (z / u),z) \ 1) / T(w,u * z))) = K(x,y * (w \ (T(z,z \ u) / u))). [hyper(22254,a,22259,a)]. 22261 K(x,y * (T(z / u,z) / T(w,u * z))) = K(x,y * (w \ (T(z,z \ u) / u))). [hyper(236,a,22077,a(flip),b,22260,a(flip)),flip(a)]. 22262 K(x,y * ((z \ u) / T(w,z * u))) = K(x,y * (w \ (T(u,u \ z) / z))). [hyper(236,a,15814,a(flip),b,22261,a(flip)),flip(a)]. 22263 K(x,y * (z \ (T(u,u \ w) / w))) = K(x,y * (z \ (w \ u))). [hyper(236,a,21668,a(flip),b,22262,a(flip))]. 22264 L(x,y,K(z,a(u,w,v5) * v6)) \ L(T(x,K(v6,z) * y),y,K(z,a(u,w,v5) * v6)) = K(x,K(z,a(u,w,v5) * v6) * y). [para(20320(a,1),21760(a,1,2))]. 22266 K(x,L(K(y,z) * u,u,K(z,a(w,v5,v6) * y))) = K(x,K(z,a(w,v5,v6) * y) * u). [hyper(11596,a,22264,a)]. 22267 K(x,K(y,a(z,u,w) * v5) * v6) = K(x,K(v5,y) * v6). [hyper(17774,a,22266,a),flip(a)]. 22268 K(x,y * (z * K(a(u,w,v5) * v6,v7))) = K(x,K(v6,v7) * (y * z)). [hyper(18180,a,22267,a)]. 22269 K(x,y * (K(z,a(u,w,v5) * v6) * v7)) = K(x,K(v6,z) * (y * v7)). [hyper(18159,a,22267,a)]. 22270 K(x,y * K(a(z,u,w) * v5,v6)) = K(x,K(v5,v6) * y). [hyper(16361,a,22267,a)]. 22271 K(x,y * K(z,a(u,w,v5) * v6)) = K(x,K(v6,z) * y). [hyper(16181,a,22267,a)]. 22273 K(x,(y / T(z,T(a(u,w,v5) \ v6,v7))) \ v8) = K(x,K(v6,z) * ((y / z) \ v8)). [hyper(236,a,21653,a,b,22270,a(flip)),flip(a)]. 22274 K(x,K(y,z) * (u / z)) = K(x,(u / T(z,a(w,v5,v6) * y)) * K(v7,K(v8,v9))). [hyper(18487,a,22271,a),flip(a)]. 22275 K(x,K(y,z) * (y * (a(u,w,v5) \ v6))) = K(x,T(a(u,w,v5) \ y,z) * v6). [hyper(236,a,22132,a(flip),b,22268,a(flip))]. 22276 K(x,K(y,z) * ((a(u,w,v5) \ v6) * y)) = K(x,v6 * T(a(u,w,v5) \ y,z)). [hyper(236,a,22131,a(flip),b,22268,a(flip))]. 22277 K(x,K(y,z) * ((u \ z) * w)) = K(x,(u \ T(z,T(a(v5,v6,v7) * y,v8))) * w). [hyper(236,a,19347,a,b,22269,a(flip))]. 22279 K(x,T(a(y,z,u) \ w,v5) * v6) = K(x,T(w,v5) * (a(y,z,u) \ v6)). [para(4906(a,1),22275(a,1,2)),flip(a)]. 22280 K(x,(a(y,z,u) \ w) * T(v5,v6)) = K(x,w * T(a(y,z,u) \ v5,v6)). [hyper(16243,a,22276,a)]. 22282 K(x,y * (a(z,u,w) \ T(v5,v6))) = K(x,y * T(a(z,u,w) \ v5,v6)). [hyper(22126,a,22280,a)]. 22283 K(x,(y / T(z,T(a(u,w,v5) \ v6,v7))) \ v8) = K(x,(y / T(z,v6)) \ v8). [hyper(236,a,19273,a(flip),b,22273,a)]. 22284 K(x,(y / T(z,a(u,w,v5) \ v6)) \ v7) = K(x,(y / T(z,v6)) \ v7). [hyper(236,a,19495,a(flip),b,22283,a(flip)),flip(a)]. 22285 K(x,(y / T(z,z \ y)) \ (a(u,w,v5) * v6)) = K(x,((a(u,w,v5) * z) \ y) \ v6). [hyper(236,a,22061,a(flip),b,22284,a(flip))]. 22286 K(x,(y / T(z,a(u,w,v5) * v6)) * K(v7,K(v8,v9))) = K(x,y / T(z,v6)). [hyper(16242,a,22274,a),flip(a)]. 22287 K(x,y / T(z,a(u,w,v5) * v6)) = K(x,y / T(z,v6)). [hyper(16672,a,22286,a)]. 22288 K(x,y * T(z,T(u,w) \ a(v5,v6,v7))) = K(x,y / T(z \ 1,u)). [hyper(236,a,21585,a(flip),b,22287,a(flip)),flip(a)]. 22289 K(x,y * T(z,T(u,w) \ a(v5,v6,v7))) = K(x,y * T(z,u)). [hyper(236,a,16535,a(flip),b,22288,a)]. 22290 K(x,y * T(z,u \ a(w,v5,v6))) = K(x,y * T(z,u)). [hyper(19844,a,22289,a)]. 22291 K(x,y * T(z,a(u,w,v5) * v6)) = K(x,y * T(z,v6)). [hyper(21604,a,22290,a)]. 22292 K(x,(y \ T(z,T(a(u,w,v5) * v6,v7))) * v8) = K(x,(y \ T(z,v6)) * v8). [hyper(236,a,19338,a(flip),b,22277,a(flip))]. 22293 K(x,(y \ T(z,u * a(w,v5,v6))) * v7) = K(x,(y \ T(z,u)) * v7). [hyper(236,a,19444,a(flip),b,22292,a(flip)),flip(a)]. 22294 K(x,(T(y,z) \ T(z,u)) * w) = K(x,(T(z,T(u,v5) \ a(v6,v7,v8)) / y) * w). [hyper(236,a,22225,a(flip),b,22293,a(flip))]. 22296 K(x,(T(y,T(z,u) \ a(w,v5,v6)) / v7) * v8) = K(x,(T(y,z) / v7) * v8). [hyper(236,a,20472,a(flip),b,22294,a(flip))]. 22297 K(x,(T(y,z \ a(u,w,v5)) / v6) * v7) = K(x,(T(y,z) / v6) * v7). [para(118(a,1),22296(a,1,2,1,1,2,1))]. 22298 K(x,(T(y,z * a(u,w,v5)) / v6) * v7) = K(x,(T(y,z) / v6) * v7). [hyper(236,a,21750,a(flip),b,22297,a(flip)),flip(a)]. 22299 K(x,y * (T(z,u * a(w,v5,v6)) / v7)) = K(x,K(y,v7 * z)) * K(x,(T(z,u) / v7) * y). [para(22298(a,1),20875(a,1,2)),flip(a)]. 22301 K(x,((a(y,z,u) * w) \ v5) \ v6) = K(x,(w \ v5) \ (a(y,z,u) * v6)). [para(197(a,1),22285(a,1,2,1)),flip(a)]. 22302 x * K(x,(y \ z) \ (a(u,w,v5) * v6)) = T(x,((a(u,w,v5) * y) \ z) \ v6). [para(22301(a,1),4887(a,2,2)),flip(a)]. 22303 T(x,((a(y,z,u) * w) \ v5) \ v6) = T(x,(w \ v5) \ (a(y,z,u) * v6)). [hyper(4890,a,22302,a),flip(a)]. 22304 K(x,y * (T(z,u * a(w,v5,v6)) / v7)) = K(x,y * (T(z,u) / v7)). [hyper(236,a,20875,a(flip),b,22299,a)]. 22305 K(x,y * (T(z,a(u,w,v5) * v6) / v7)) = K(x,y * (T(z,v6) / v7)). [hyper(236,a,16824,a,b,22304,a(flip)),flip(a)]. 22306 K(x,y * (a(z,u,w) \ (T(v5,a(v6,v7,v8) * v9) / v10))) = K(x,(a(z,u,w) \ y) * (T(v5,v9) / v10)). [hyper(22126,a,22305,a)]. 22307 K(x,y * (T(z,u) / T(a(w,v5,v6) * u,z))) = K(x,y * (z / T(T(a(w,v5,v6) * u,z),z))). [para(4140(a,1),22305(a,1,2,2)),flip(a)]. 22308 K(x,y * (T(z,u) / T(a(w,v5,v6) * u,z))) = K(x,y * (z / (a(w,v5,v6) * u))). [hyper(236,a,20464,a(flip),b,22307,a)]. 22310 K(x,y * ((a(z,u,w) * v5) \ T(v6,v5))) = K(x,y * (v6 / (a(z,u,w) * v5))). [hyper(236,a,16809,a(flip),b,22308,a(flip)),flip(a)]. 22311 K(x,y * T(a(z,u,w) \ (v5 \ v6),v5)) = K(x,y * (v6 / (a(z,u,w) * v5))). [hyper(236,a,21666,a(flip),b,22310,a(flip)),flip(a)]. 22312 K(x,T(a(y,z,u) \ (w \ v5),w) * T(v6,T(a(y,z,u) \ (w \ v5),w))) = K(x,v6 * (v5 / (a(y,z,u) * w))). [para(119(a,2),22311(a,1,2))]. 22313 K(x,y * T(a(z,u,w) \ (v5 \ T(v6,v6 \ (a(z,u,w) * v5))),v5)) = K(x,y * (v6 / ((v6 \ (a(z,u,w) * v5)) * v6))). [para(4174(a,1),22311(a,2,2,2))]. 22314 K(x,y * (a(z,u,w) \ (T(v5,a(v6,v7,v8) * v9) / v10))) != v11 | K(x,y * (a(z,u,w) \ (T(v5,v9) / v10))) = v11. [para(22306(a,2),22126(a,1))]. 22315 K(x,T(a(y,z,u) \ (w \ v5),w) * T(v6,a(y,z,u) \ (v5 / w))) = K(x,v6 * (v5 / (a(y,z,u) * w))). [para(20179(a,1),22312(a,1,2,2))]. 22316 K(x,T(a(y,z,u) \ (w \ v5),w) * T(v6,a(y,z,u) * (v5 / w))) = K(x,v6 * (v5 / (a(y,z,u) * w))). [hyper(21605,a,22315,a)]. 22317 K(x,y * T(a(z,u,w) \ (v5 \ T(v6,a(z,u,w) * (v6 \ v5))),v5)) = K(x,y * (v6 / ((v6 \ (a(z,u,w) * v5)) * v6))). [para(10667(a,1),22313(a,1,2,2,1,2,2))]. 22318 K(x,y * (T(z,a(u,w,v5) * (z \ v6)) / (a(u,w,v5) * v6))) = K(x,y * (z / ((z \ (a(u,w,v5) * v6)) * z))). [hyper(236,a,22311,a(flip),b,22317,a(flip)),flip(a)]. 22319 K(x,(K(y,z * (((u * w) \ u) * v5)) * (K(y,K(z,w * v5)) * 1)) \ v6) * K(x,K(v6,K(y,(((u * w) \ u) * v5) * z))) = K(x,v6 / (K(y,z * (((u * w) \ u) * v5)) * (K(y,K(z,w * v5)) \ 1))). [para(7964(a,1),20436(a,1,1,2,1,2))]. 22320 L((K((x \ y) * z,x / z) * 1) \ 1,K(z \ x,x \ (z * y)) \ 1,(z \ x) * (y / (z \ x))) = a(y,K(z \ x,x \ (z * y)),K(z \ x,x \ (z * y)) \ 1) \ K(z \ x,x \ (z * y)). [para(20187(a,1),21565(a,1,1,1,1))]. 22321 K(x,(K(y,z * (((u * w) \ u) * v5)) * K(y,K(z,w * v5))) \ v6) * K(x,K(v6,K(y,(((u * w) \ u) * v5) * z))) = K(x,v6 / (K(y,z * (((u * w) \ u) * v5)) * (K(y,K(z,w * v5)) \ 1))). [para(12(a,1),22319(a,1,1,2,1,2))]. 22322 K(x,K(y,(((z * u) \ z) * w) * v5) \ v6) * K(x,K(v6,K(y,(((z * u) \ z) * w) * v5))) = K(x,v6 / (K(y,v5 * (((z * u) \ z) * w)) * (K(y,K(v5,u * w)) \ 1))). [para(20434(a,1),22321(a,1,1,2,1))]. 22323 K(x,K((((y * z) \ y) * u) * w,v5) * v6) * K(x,K(v6,K(v5,(((y * z) \ y) * u) * w))) = K(x,v6 / (K(v5,w * (((y * z) \ y) * u)) * (K(v5,K(w,z * u)) \ 1))). [para(5260(a,1),22322(a,1,1,2))]. 22324 L(K((x \ y) * z,x / z) \ 1,K(z \ x,x \ (z * y)) \ 1,(z \ x) * (y / (z \ x))) = a(y,K(z \ x,x \ (z * y)),K(z \ x,x \ (z * y)) \ 1) \ K(z \ x,x \ (z * y)). [para(12(a,1),22320(a,1,1,1))]. 22325 L(K(x / y,(x \ z) * y) * 1,K(y \ x,x \ (y * z)) \ 1,(y \ x) * (z / (y \ x))) = a(z,K(y \ x,x \ (y * z)),K(y \ x,x \ (y * z)) \ 1) \ K(y \ x,x \ (y * z)). [para(5260(a,1),22324(a,1,1))]. 22326 L(K(x \ y,x * (y \ z)) * 1,K(x \ y,y \ (x * z)) \ 1,(x \ y) * (z / (x \ y))) = a(z,K(x \ y,y \ (x * z)),K(x \ y,y \ (x * z)) \ 1) \ K(x \ y,y \ (x * z)). [para(13029(a,1),22325(a,1,1,1))]. 22327 a(x,K(y \ z,z \ (y * x)),K(y \ z,z \ (y * x)) \ 1) \ K(y \ z,z \ (y * x)) = L(K(y \ z,y * (z \ x)),K(y \ z,z \ (y * x)) \ 1,(y \ z) * (x / (y \ z))). [para(12(a,1),22326(a,1,1)),flip(a)]. 22328 a(x,K(y \ z,z \ (y * x)),K(y \ z,z \ (y * x)) \ 1) \ K(y \ z,z \ (y * x)) = L(K(y \ z,y * (z \ x)),K(z \ (y * x),y \ z) * 1,(y \ z) * (x / (y \ z))). [para(5260(a,1),22327(a,2,2))]. 22329 a(x,K(y \ z,z \ (y * x)),K(y \ z,z \ (y * x)) \ 1) \ K(y \ z,z \ (y * x)) = L(K(y \ z,y * (z \ x)),K((z \ x) * y,z / y) * 1,(y \ z) * (x / (y \ z))). [para(20187(a,1),22328(a,2,2,1))]. 22330 a(x,K(y \ z,z \ (y * x)),K(y \ z,z \ (y * x)) \ 1) \ K(y \ z,z \ (y * x)) = L(K(y \ z,y * (z \ x)),K((z \ x) * y,z / y),(y \ z) * (x / (y \ z))). [para(12(a,1),22329(a,2,2))]. 22331 a(x,K(y \ z,z \ (y * x)),K(y \ z,z \ (y * x)) \ 1) \ K(y \ z,z \ (y * x)) = K(y \ z,y * (z \ x)). [hyper(236,a,19127,a(flip),b,22330,a)]. 22333 a(x,K(y \ z,z \ (y * x)),K(z \ (y * x),y \ z) * 1) \ K(y \ z,z \ (y * x)) = K(y \ z,y * (z \ x)). [para(5260(a,1),22331(a,1,1,3))]. 22334 a(x,K(y \ z,z \ (y * x)),K((z \ x) * y,z / y) * 1) \ K(y \ z,z \ (y * x)) = K(y \ z,y * (z \ x)). [para(20187(a,1),22333(a,1,1,3,1))]. 22335 a(x,K(y \ z,z \ (y * x)),K((z \ x) * y,z / y)) \ K(y \ z,z \ (y * x)) = K(y \ z,y * (z \ x)). [para(12(a,1),22334(a,1,1,3))]. 22336 1 \ K(x \ y,y \ (x * z)) = K(x \ y,x * (y \ z)). [para(19131(a,1),22335(a,1,1))]. 22337 K(x \ y,y \ (x * z)) = K(x \ y,x * (y \ z)). [hyper(308,a,22336,a)]. 22339 x * K(y \ z,y * (z \ x)) = (y \ z) * (x / (y \ z)). [para(22337(a,1),10749(a,1,2))]. 22340 (T(x,y) / y) * (z / (T(x,y) / y)) = (y \ x) * (z / (y \ x)). [hyper(236,a,19914,a,b,22339,a(flip)),flip(a)]. 22341 ((x \ 1) \ y) * (z / ((x \ 1) \ y)) = z * K((x \ 1) \ y,x \ (y \ z)). [para(14126(a,1),22339(a,1,2)),flip(a)]. 22342 (T(x * y,y) / y) * (z / (T(x * y,y) / y)) = T(x,y) * (z / (y \ (x * y))). [para(32(a,2),22340(a,2,1))]. 22343 ((x \ 1) \ y) * (z / ((x \ 1) \ y)) = z * K(x * y,x \ (y \ z)). [para(14050(a,1),22341(a,2,2))]. 22344 ((x \ 1) \ y) * (z / ((x \ 1) \ y)) = (x * y) * (z / (x * y)). [hyper(236,a,14646,a(flip),b,22343,a)]. 22345 ((x \ 1) \ y) * (z / ((x \ 1) \ y)) != u | (x * y) * (z / (x * y)) = u. [para(22343(a,2),14647(a,1))]. 22346 (((x \ (x / y)) \ 1) \ x) * (z / (((x \ (x / y)) \ 1) \ x)) = ((x \ (x / y)) * x) * (z / ((x / y) * K(y \ 1,x))). [para(5151(a,1),22344(a,2,2,2))]. 22347 (x \ T(x * y,x)) * (z / (T(y * x,x) / x)) = T(y,x) * (z / (x \ (y * x))). [para(1356(a,1),22342(a,1,1))]. 22348 (x \ T(x * y,x)) * (z / (x \ T(x * y,x))) = T(y,x) * (z / (x \ (y * x))). [para(1356(a,1),22347(a,1,2,2))]. 22349 ((x * y) / x) * (z / ((x * y) / x)) = T(y,x) * (z / (x \ (y * x))). [hyper(19673,a,22348,a)]. 22350 ((x * y) / x) * (z / ((x * y) / x)) = T(y,x) * (z / T(y,x)). [para(32(a,2),22349(a,2,2,2))]. 22351 ((x * ((x \ y) * T(x,y))) / x) * (z / ((x * ((x \ y) * T(x,y))) / x)) = ((x \ y) * x) * (z / T((x \ y) * T(x,y),x)). [para(4252(a,1),22350(a,2,1))]. 22352 ((x \ (x / y)) * x) * (z / ((x \ (x / y)) * x)) = ((x \ (x / y)) * x) * (z / ((x / y) * K(y \ 1,x))). [hyper(22345,a,22346,a)]. 22353 ((L(x,x \ y,x) * y) / x) * (z / ((x * ((x \ y) * T(x,y))) / x)) = ((x \ y) * x) * (z / T((x \ y) * T(x,y),x)). [para(719(a,1),22351(a,1,1,1))]. 22354 ((x * y) / R(x,x \ y,x)) * (z / ((x * ((x \ y) * T(x,y))) / x)) = ((x \ y) * x) * (z / T((x \ y) * T(x,y),x)). [para(12976(a,1),22353(a,1,1))]. 22355 ((x * y) / R(x,x \ y,x)) * (z / ((L(x,x \ y,x) * y) / x)) = ((x \ y) * x) * (z / T((x \ y) * T(x,y),x)). [para(719(a,1),22354(a,1,2,2,1))]. 22356 ((x * y) / R(x,x \ y,x)) * (z / ((x * y) / R(x,x \ y,x))) = ((x \ y) * x) * (z / T((x \ y) * T(x,y),x)). [para(12976(a,1),22355(a,1,2,2))]. 22357 ((x \ y) * x) * (z / T((x \ y) * T(x,y),x)) = ((x * y) / x) * (z / ((x * y) / x)). [hyper(236,a,13171,a(flip),b,22356,a(flip))]. 22359 ((x \ y) * x) * (z / T((x \ y) * T(x,y),x)) = T(y,x) * (z / T(y,x)). [hyper(236,a,22350,a(flip),b,22357,a)]. 22360 ((x \ y) * x) * (z / ((x \ y) * x)) = T(y,x) * (z / T(y,x)). [para(4252(a,1),22359(a,1,2,2))]. 22361 ((x \ (x / y)) * x) * (z / ((x / y) * K(y \ 1,x))) = T(x / y,x) * (z / T(x / y,x)). [hyper(236,a,22352,a(flip),b,22360,a(flip)),flip(a)]. 22362 ((x \ (x / y)) * x) * (z / ((x / y) * K(y \ 1,x))) = (y \ x) * (z / (y \ x)). [hyper(13361,a,22361,a(flip)),flip(a)]. 22363 ((x \ (x / y)) * x) * ((z / (x / y)) * K(x,y \ 1)) = (y \ x) * (z / (y \ x)). [para(10465(a,1),22362(a,1,2))]. 22364 T((x / y) * (z / (x / y)),K(x,y)) = (y \ x) * (z / (y \ x)). [hyper(21199,a,22363,a)]. 22365 x * K(y \ z,(x / z) * y) = (y \ z) * (x / (y \ z)). [hyper(236,a,20687,a(flip),b,22364,a(flip)),flip(a)]. 22366 L(x \ y,x,z / y) * ((z / y) * x) = (x \ y) * (z / (x \ y)). [hyper(236,a,15026,a,b,22365,a(flip)),flip(a)]. 22367 L(x,y,T(z,(z / u) * w)) = L(x,y,(w \ u) * (z / (w \ u))). [para(22366(a,1),13512(a,1,3)),flip(a)]. 22368 L(x,y,T(z,(u \ z) * w)) = L(x,y,(w \ u) * (z / (w \ u))). [para(10147(a,1),22367(a,1,3))]. 22369 L(x,y,(z \ u) * (w / (z \ u))) = L(x,y,T(w,u \ z)). [hyper(236,a,14875,a(flip),b,22368,a(flip))]. 22370 L(a(x,y,y \ 1),z,T(u,z \ x)) = R(a(x,y,y \ 1),z,u). [hyper(236,a,22207,a(flip),b,22369,a(flip))]. 22371 R(a(x,y,y \ 1),z,u) = L(a(x,y,y \ 1),z,u). [hyper(236,a,21894,a(flip),b,22370,a(flip))]. 22373 (x * y) * L(a(z,u,u \ 1),y,x) = (a(z,u,u \ 1) * x) * y. [para(22371(a,1),18931(a,1,2))]. 22375 (a(x,y,y \ 1) * z) * u = z * (u * a(x,y,y \ 1)). [hyper(219,a,22373,a),flip(a)]. 22379 ((x * a(y,z,z \ 1)) * u) \ (u * (x * a(y,z,z \ 1))) = K(u,x). [para(22375(a,1),18862(a,1,2))]. 22380 K(x,y * a(z,u,u \ 1)) = K(x,y). [hyper(285,a,22379,a)]. 22381 K(x,y * ((z * L(u,w,u)) \ z)) = K(x,y / u). [hyper(21546,a,22380,a),flip(a)]. 22382 K(x,((y * L(z,u,z)) \ y) * w) = K(x,z \ w). [hyper(21541,a,22380,a),flip(a)]. 22383 K(x,a(y,z,z \ 1) * u) = K(x,u). [hyper(17724,a,22380,a)]. 22386 K(x,y \ L(z,u,u \ 1)) = K(x,y \ z). [hyper(236,a,22139,a(flip),b,22380,a(flip)),flip(a)]. 22387 K(x,y / ((z \ 1) \ u)) = K(x,y / (z * u)). [hyper(236,a,21536,a(flip),b,22380,a(flip)),flip(a)]. 22388 K(x,((y \ 1) \ z) \ u) = K(x,(y * z) \ u). [hyper(236,a,21535,a(flip),b,22380,a(flip)),flip(a)]. 22389 K(x,a(y,z \ 1,z) * u) = K(x,u). [hyper(236,a,21062,a(flip),b,22380,a(flip)),flip(a)]. 22396 K(x,y / (((z * u) \ z) \ w)) = K(x,y / ((u \ 1) \ w)). [hyper(236,a,22153,a(flip),b,22383,a(flip))]. 22397 K(x,(L(y \ 1,y,z) * u) \ w) = K(x,((y \ 1) * u) \ w). [hyper(236,a,22020,a(flip),b,22383,a(flip)),flip(a)]. 22402 K(x,(y * (z \ 1)) * u) = K(x,(y / z) * u). [hyper(236,a,22244,a(flip),b,22389,a(flip)),flip(a)]. 22403 K(x,(y * (z \ 1)) \ u) = K(x,(y / z) \ u). [hyper(20782,a,22386,a),flip(a)]. 22407 K(x,a(y,z,z \ 1) * ((z \ u) \ w)) = K(x,(L(z \ 1,z,y) * u) \ w). [hyper(236,a,22035,a(flip),b,22388,a(flip)),flip(a)]. 22409 K(x,(y / (1 / z)) * u) = K(x,(y * z) * u). [para(65(a,1),22402(a,1,2,1,2)),flip(a)]. 22411 K(x,(y / (z \ 1)) * u) = K(x,(y * z) * u). [hyper(236,a,5487,a(flip),b,22409,a(flip)),flip(a)]. 22412 K(x,y * ((z * u) \ z)) = K(x,y / u). [hyper(236,a,13168,a(flip),b,22381,a(flip)),flip(a)]. 22413 K(x,y / (z \ u)) = K(x,y * (u \ z)). [para(14(a,1),22412(a,1,2,2,1)),flip(a)]. 22414 K(x,(y / (z * u)) * (z \ (u * z))) = K(x,(y * (z \ (u \ 1))) * u). [hyper(236,a,20756,a(flip),b,22413,a(flip))]. 22415 K(x,((y * z) \ y) * u) = K(x,z \ u). [hyper(236,a,22092,a(flip),b,22382,a(flip)),flip(a)]. 22417 K(x,L(y / z,u,z \ y) \ w) = K(x,(z / y) * w). [hyper(236,a,22096,a(flip),b,22415,a(flip))]. 22418 K(x,(y \ z) \ u) = K(x,(z \ y) * u). [para(14(a,1),22415(a,1,2,1,1)),flip(a)]. 22419 K(x,(y \ (z * u)) * (z \ (T(u,z) \ y))) = a(u,z,K(x,z \ y)). [hyper(20401,a,22418,a),flip(a)]. 22420 K(x,(((y \ z) \ 1) \ u) * (u \ T(y,z))) = K(x,L(z,y,u \ 1)). [hyper(236,a,20414,a(flip),b,22418,a(flip))]. 22424 K(x,(y / z) \ u) = K(x,(z / y) * u). [hyper(236,a,13048,a(flip),b,22417,a(flip)),flip(a)]. 22426 K(x,(y * (z \ 1)) \ u) = K(x,(z / y) * u). [hyper(236,a,22403,a,b,22424,a(flip)),flip(a)]. 22429 K(x,y / (((z * u) \ z) \ w)) = K(x,y / (u * w)). [hyper(236,a,22387,a(flip),b,22396,a)]. 22431 K(x,y / ((z \ u) \ w)) = K(x,y / ((u \ z) * w)). [para(14(a,1),22429(a,1,2,2,1,1))]. 22432 K(x,y / ((z \ 1) * u)) = K(x,y / (z \ u)). [para(125(a,1),22429(a,1,2,2,1)),flip(a)]. 22433 K(x,((y / z) * u) / (z \ u)) = K(x,L(y,z \ 1,u)). [hyper(15480,a,22432,a),flip(a)]. 22434 K(x,y / ((z \ u) * w)) = K(x,y * (w \ (u \ z))). [hyper(236,a,22413,a(flip),b,22431,a(flip))]. 22435 K(x,(y \ (z * u)) * (z \ (T(u,z) \ y))) = a(y,u,K(x,z)). [hyper(236,a,22048,a(flip),b,22434,a(flip))]. 22436 K(x,((y / z) * u) * (u \ z)) = K(x,L(y,z \ 1,u)). [hyper(236,a,22413,a(flip),b,22433,a(flip)),flip(a)]. 22437 K(x,(y / z) * (z * (y \ u))) = K(x,L(u,y \ 1,z)). [hyper(236,a,19665,a(flip),b,22436,a(flip)),flip(a)]. 22439 a(x,y,K(z,y \ u)) = a(u,x,K(z,y)). [hyper(236,a,22435,a(flip),b,22419,a(flip))]. 22440 a(x,y,K(y \ z,u)) = a(y,x,K(u,z)). [hyper(14601,a,22439,a)]. 22441 a(x,y,K(y \ z,u)) = a(z,x,K(y,u)). [hyper(236,a,13990,a(flip),b,22440,a)]. 22442 x * a(y,z,K(x \ u,z \ u)) = x * a(u,u \ x,K(y,z)). [para(22440(a,1),22030(a,1,2)),flip(a)]. 22443 a(x,y,K(z,y \ u)) = a(u,z,K(y,x)). [hyper(14287,a,22441,a)]. 22445 L(L(x,y,z),u,K(u \ w,v5)) * v6 = L(x,y,z) * (v6 * a(w,x,K(u,v5))). [para(22443(a,1),21916(a,1,2,2)),flip(a)]. 22446 x * a(y,z,K(x \ u,z \ u)) = x * a(u,x,K(y,z)). [para(14412(a,1),22442(a,2,2))]. 22447 x * a(y,z,K(x \ y,u)) = x * a(y,x,K(z,u)). [para(22439(a,1),22446(a,1,2))]. 22448 x * a(y,x,K(z,u)) = x * a(x,z,K(y,u)). [para(14379(a,1),22447(a,1,2)),flip(a)]. 22449 a(x,y,K(z,u)) = a(z,x,K(y,u)). [hyper(317,a,22448,a)]. 22450 T(x,a(y,z,u) \ x) = x * a(y,x,K(z,u)). [hyper(236,a,14037,a,b,22448,a),flip(a)]. 22451 a(a(x,y,z) \ u,y,K(z,x)) = a(z,u,K(y,x)). [hyper(14829,a,22449,a)]. 22452 a(x * y,z,K(u,y)) = a(z,u,K(x,y)). [hyper(14386,a,22449,a),flip(a)]. 22453 a(x,y,K(y \ z,u)) = a(x,y,K(z,u)). [hyper(236,a,22441,a,b,22449,a),flip(a)]. 22454 K(x,y) * K(y,L(x,z,u)) = a(z,u,K(y,x)). [hyper(236,a,13999,a,b,22449,a),flip(a)]. 22456 x * a(y,z,K(u,w)) = x * a(w,y,K(u,z)). [para(22449(a,2),14009(a,1,2))]. 22457 a(x,y,z) \ a(y,x,K(z,u)) = T(a(x,y,z),u) \ 1. [para(22449(a,2),14071(a,1,2))]. 22458 T(L(x,y,z) * a(u,x,K(w,v5)),a(v5,w,u) \ 1) = R(L(x,y,z),a(v5,w,u) \ 1,L(x,y,z)). [para(22449(a,1),21914(a,1,1,2))]. 22459 K(x,L(y,z,z \ u)) = K(x,y) * a(x,z,K(u,y)). [para(22453(a,1),14017(a,1,2)),flip(a)]. 22460 T(x,y) * a(z,u,K(x,y)) = x * K(x,L(y,z,u)). [para(22454(a,1),5207(a,1,2))]. 22461 (x \ K(y,z)) * K(z,L(y,u,w)) = x \ a(u,w,K(z,y)). [para(22454(a,1),19148(a,1,2)),flip(a)]. 22462 x * a(y,x,K(z,u)) = L(x,u,K(z,y)). [hyper(14709,a,22456,a),flip(a)]. 22463 (x \ y) * a(z,u,K(y,w)) = x \ L(y,w,K(z,u)). [hyper(236,a,14773,a(flip),b,22456,a(flip))]. 22465 T(x,a(y,z,u) \ x) = L(x,u,K(z,y)). [hyper(236,a,22450,a,b,22462,a(flip)),flip(a)]. 22466 L(x,y,K(z,u)) = L(x,u,K(y,z)). [hyper(14750,a,22465,a)]. 22467 (a(x,y,z) \ u) * a(x,y,z) = L(u,x,K(y,z)). [hyper(236,a,14927,a(flip),b,22465,a(flip)),flip(a)]. 22468 a(x,y,z) \ L(u,z,K(y,x)) = u / a(x,y,z). [hyper(72,a,22465,a(flip),b,13906,a(flip))]. 22469 L(x,y,K(z,u)) != w | L(x,z,K(u,y)) = w. [para(22465(a,1),14750(a,1))]. 22470 L(x,y,K(z,u)) = T(x,a(y,z,u)). [hyper(14688,a,22466,a),flip(a)]. 22471 L(x,y \ 1,K(z,u)) = L(x,u,K(z,y)). [hyper(236,a,14714,a(flip),b,22466,a)]. 22472 L(T(x,y),z,K(y,u)) = T(x,L(y,u,z)). [hyper(236,a,14677,a(flip),b,22466,a)]. 22473 L(x,y,K(y \ z,u)) = L(x,u,K(y,z)). [hyper(236,a,13501,a(flip),b,22466,a)]. 22474 L(x,y,K(z,u)) / a(z,u,y) = a(z,u,y) \ x. [hyper(74,a,22466,a,b,14928,a)]. 22475 L(x,L(y,z,u),K(w,v5)) = T(x,a(y,w,v5)). [hyper(21918,a,22470,a(flip)),flip(a)]. 22476 L(a(x,y,z) \ u,z,K(y,x)) != w | u / a(x,y,z) = w. [para(22470(a,2),14216(a,1))]. 22477 L(x,y,K(z,u)) * ((x * a(y,z,u)) \ x) = x * T(a(y,z,u) \ 1,x). [para(22470(a,2),18773(a,1,1))]. 22478 x \ L(x * y,z,K(u,x)) = K(u,z) * ((1 / x) * ((K(u,z) / x) \ y)). [para(22471(a,1),20847(a,1,2))]. 22479 T(x,L(y,z \ T(u,w),v5)) = L(T(x,y),v5,K(u \ z,y)). [hyper(236,a,19959,a(flip),b,22472,a(flip))]. 22480 T(x,L(y,z \ K(u,w),v5)) = L(T(x,y),v5,K(z,y)). [hyper(236,a,19957,a(flip),b,22472,a(flip))]. 22481 L(x,L(y,z,u),K(w,v5)) = L(x,y,K(w,v5)). [hyper(236,a,22470,a,b,22475,a)]. 22482 L(x,L(y,z,u),K(y,w)) != v5 | v5 = x. [para(22481(a,2),3980(a,1))]. 22483 L(x,y,K(z,u)) * a(w,x,K(v5,v6)) = (a(v6,v5,w) \ L(x,y,K(z,u))) * a(v6,v5,w). [para(22451(a,1),18312(a,1,2))]. 22484 L(x,y,K(z,u)) / a(y,z,u) != w | a(y,z,u) \ x = w. [para(22467(a,1),296(a,1,1)),flip(b)]. 22485 ((x * y) * z) / a(y,x,z) = a(y,x,z) \ ((x * y) * z). [para(14765(a,1),22474(a,1,1))]. 22486 K(x,L(y,z,z \ u)) = K(x,L(y,z,u)). [hyper(236,a,14017,a(flip),b,22459,a)]. 22488 K(x,L(y,z,u \ z)) = K(x,L(y,u,z)). [hyper(14595,a,22486,a)]. 22489 K(x,L(y,z,u \ 1)) = K(x,L(y,z,u \ z)). [hyper(236,a,17819,a(flip),b,22486,a(flip)),flip(a)]. 22490 T(x,L(y,z,z \ u)) = x * K(x,L(y,z,u)). [para(22486(a,1),4887(a,2,2))]. 22491 K(x,L((y * K(z,u)) \ w,y,u)) = K(x,u \ ((T(u,z) / y) * w)). [hyper(236,a,19941,a(flip),b,22488,a(flip))]. 22492 T(x,L(y,z,u \ z)) = x * K(x,L(y,u,z)). [para(22488(a,1),4887(a,2,2))]. 22493 K(x,L(y,z,u \ 1)) = K(x,L(y,u,z)). [hyper(236,a,22488,a(flip),b,22489,a)]. 22494 K(x,L((y * z) \ u,y,z)) = K(x,z \ (y \ u)). [hyper(236,a,18805,a(flip),b,22493,a(flip))]. 22495 T(x,L(y,z,z \ u)) != w | T(x,L(y,z,u)) = w. [para(22490(a,2),4890(a,1))]. 22496 T(x,L(y,z,u \ z)) = T(x,L(y,u,z)). [hyper(236,a,4887,a,b,22492,a)]. 22498 K(x,L((y * K(z,u)) \ w,y / u,u * K(z,u))) = K(x,(u * K(z,u)) \ ((y / u) \ w)). [para(7740(a,1),22494(a,1,2,1,1))]. 22499 T(x,y) * a(z,u,K(x,y)) = T(x,L(y,z,u)). [hyper(236,a,4887,a,b,22460,a)]. 22500 a(x,y,K(z,u)) * (w \ z) = w \ L(z,u,K(x,y)). [hyper(17778,a,22463,a)]. 22501 T(x,L(y,z \ K(u,w),v5)) = T(x,L(y,v5,z)). [hyper(236,a,14677,a(flip),b,22480,a)]. 22502 T(x,L(y,z \ 1,u)) = T(x,L(y,u,z)). [para(127(a,1),22501(a,1,2,2,2))]. 22503 T(x,L((y / z) / (u \ 1),z,u)) = T(x,y / ((u \ 1) * z)). [hyper(236,a,15346,a(flip),b,22502,a(flip))]. 22504 T(a(x,y,z),T(u,w)) \ z = a(x,y,z) \ L(z,x,K(u,y)). [hyper(17,a,17839,a(flip),b,22500,a)]. 22505 T(x,L(y,z \ T(u,w),v5)) = T(x,L(y,v5,u \ z)). [hyper(236,a,14677,a(flip),b,22479,a)]. 22507 a(x,y,z) \ ((y * x) * z) = x * (T(y,x) * z). [hyper(14782,a,22485,a),flip(a)]. 22508 K(x,a(y,z,u) \ u) = K(x,(z * y) \ (y * (T(z,y) * u))). [para(22507(a,1),21958(a,1,2,2)),flip(a)]. 22509 T(x,(y / z) / (a(u,w,v5) \ 1)) = T(x,y / ((a(u,w,v5) \ 1) * z)). [hyper(21880,a,22503,a)]. 22510 a(x,y,z) \ L(z,x,K(u,y)) = T(a(x,y,z),u) \ z. [para(118(a,1),22504(a,1,1,2)),flip(a)]. 22511 K(x,a(y,z,u) \ u) = K(x,L(u,z,y)). [para(11118(a,2),22508(a,2,2))]. 22512 K(a(x,y,z) \ z,u) = w / (K(u,L(z,y,x)) * w). [para(22511(a,1),5266(a,1,2,1)),flip(a)]. 22513 K(a(x,y,z) \ z,u) = K(L(z,y,x),u). [hyper(236,a,17975,a(flip),b,22512,a)]. 22514 K(a(x,y,z) \ z,u) = K(z,L(u,y,x)). [hyper(236,a,11533,a(flip),b,22513,a)]. 22515 K(x,(y / (z * u)) * T(u,z)) = K(x,(y * (z \ (u \ 1))) * u). [para(32(a,2),22414(a,1,2,2))]. 22516 K(x,(y * (z \ (u \ 1))) * u) = K(x,(y / (u * z)) * u). [hyper(236,a,15752,a(flip),b,22515,a(flip))]. 22517 K(x,((y * z) / (u * z)) * u) = K(x,L(y,z,z \ (u \ 1))). [hyper(15392,a,22516,a),flip(a)]. 22518 T(x,y / ((a(z,u,w) \ 1) * v5)) = T(x,(y / v5) * a(z,u,w)). [hyper(236,a,14250,a(flip),b,22509,a(flip))]. 22519 T(x,y / L(z * (a(u,w,v5) \ 1),w,K(v5,u))) = T(x,(y / z) * a(u,w,v5)). [hyper(236,a,19686,a,b,22518,a(flip)),flip(a)]. 22520 L(x,y,K(z,u)) * ((x * a(y,z,u)) \ x) = (a(y,z,u) \ 1) * x. [hyper(236,a,119,a(flip),b,22477,a)]. 22521 L(x \ (x * y),z,K(u,x)) = K(u,z) * ((1 / x) * ((K(u,z) / x) \ y)). [hyper(14813,a,22478,a)]. 22522 K(x,y) * ((1 / z) * ((K(x,y) / z) \ u)) = L(u,y,K(x,z)). [para(13(a,1),22521(a,1,1)),flip(a)]. 22523 K(x,a(y,z,z \ 1) * ((z \ u) \ w)) = K(x,((z \ 1) * u) \ w). [hyper(236,a,22397,a(flip),b,22407,a)]. 22524 K(x,((y \ 1) * z) \ u) = K(x,(y \ z) \ u). [hyper(13067,a,22523,a),flip(a)]. 22527 K(x,((y \ 1) * z) \ u) = K(x,(z \ y) * u). [hyper(236,a,22418,a(flip),b,22524,a)]. 22528 K(x,(y / (z \ 1)) * u) = K(x,((y \ 1) \ z) * u). [hyper(236,a,22426,a(flip),b,22527,a(flip)),flip(a)]. 22529 K(x,((y \ 1) \ z) * u) = K(x,(y * z) * u). [hyper(236,a,22411,a(flip),b,22528,a(flip))]. 22530 K(x,((y \ z) * u) * (u \ T(y,z))) = K(x,L(z,y,u \ 1)). [hyper(236,a,22420,a(flip),b,22529,a(flip))]. 22531 K(x,(y / z) * (z * (y \ u))) = K(x,L(u,y,z \ 1)). [hyper(236,a,21807,a(flip),b,22530,a(flip)),flip(a)]. 22532 K(x,L(y,z \ 1,u)) = K(x,L(y,z,u \ 1)). [hyper(236,a,22437,a(flip),b,22531,a(flip)),flip(a)]. 22534 K(x,L(y,z,(z * u) \ 1)) * u = (1 / z) * ((K(y,x) / z) \ u). [para(22532(a,1),19881(a,1,1))]. 22535 K(x,L(y,z,z \ (u \ 1))) * u = (1 / z) * ((K(y,x) / z) \ u). [para(21956(a,1),22534(a,1,1))]. 22536 L(x,y,z) * (u * a(w,x,K(v5,v6))) = L(L(x,y,z),v6,K(v5,w)) * u. [para(22473(a,1),22445(a,1,1)),flip(a)]. 22537 T(x,y / (z * (a(u,w,v5) \ 1))) = T(x,(y / z) * a(u,w,v5)). [hyper(18151,a,22519,a)]. 22539 L(x,y,K(z,u)) * a(y,x,K(z,u)) = (x / a(u,z,y)) * a(u,z,y). [para(22468(a,1),22483(a,2,1))]. 22540 L(x,y,K(z,u)) * a(y,x,K(z,u)) = x. [hyper(236,a,16,a(flip),b,22539,a)]. 22542 K(x,L((y * K(z,u)) \ w,y / u,T(u,z \ u))) = K(x,(u * K(z,u)) \ ((y / u) \ w)). [para(14924(a,2),22498(a,1,2))]. 22543 K(x,L((y * K(z,u)) \ w,u \ y,T(u,z \ u))) = K(x,(u * K(z,u)) \ ((y / u) \ w)). [hyper(20301,a,22542,a)]. 22544 K(x,L((y * K(z,u)) \ w,u \ y,u)) = K(x,(u * K(z,u)) \ ((y / u) \ w)). [hyper(17783,a,22543,a)]. 22545 K(x,L((y * K(z,u)) \ w,y,u)) = K(x,(u * K(z,u)) \ ((y / u) \ w)). [hyper(14594,a,22544,a)]. 22547 K(x,(y * K(z,y)) \ ((u / y) \ w)) = K(x,y \ ((T(y,z) / u) * w)). [hyper(236,a,22491,a(flip),b,22545,a(flip))]. 22548 K(x,K(y,z) * (y \ ((u / y) \ w))) = K(x,y \ ((T(y,z) / u) * w)). [hyper(19159,a,22547,a)]. 22549 K(x,y \ ((T(y,K(z,u)) / w) * v5)) = K(x,y \ ((w / y) \ v5)). [hyper(16624,a,22548,a),flip(a)]. 22550 K(x,y \ ((z / y) \ u)) = K(x,y \ ((y / z) * u)). [para(1367(a,1),22549(a,1,2,2,1,1)),flip(a)]. 22551 x * K(x,y \ ((y / z) * u)) = T(x,y \ ((z / y) \ u)). [para(22550(a,1),4887(a,2,2)),flip(a)]. 22552 T(x,y \ ((z / y) \ u)) = T(x,y \ ((y / z) * u)). [hyper(4890,a,22551,a),flip(a)]. 22553 T(x,(y \ z) \ (((y \ z) / z) * u)) = T(x,(y \ z) \ (y \ u)). [para(62(a,1),22552(a,1,2,2,1)),flip(a)]. 22554 T(x,L(y,z,z \ (u \ z))) = T(x,(u \ z) \ (u \ (z * y))). [para(11100(a,1),22553(a,1,2))]. 22555 T(x,(y \ z) \ (y \ (z * u))) = T(x,L(u,z,y \ z)). [hyper(22495,a,22554,a),flip(a)]. 22556 T(x,(y \ z) \ (y \ (z * u))) = T(x,L(u,y,z)). [hyper(236,a,22496,a(flip),b,22555,a)]. 22558 T(x,((a(y,z,u) * w) \ v5) \ (a(y,z,u) \ (w \ (v5 * v6)))) = T(x,L(v6,a(y,z,u) * w,v5)). [hyper(21781,a,22556,a)]. 22559 R(L(x,y,K(z,u)),a(u,z,y) \ 1,L(x,y,K(z,u))) = T(x,a(u,z,y) \ 1). [para(22540(a,1),22458(a,1,1)),flip(a)]. 22560 T(x,a(y,z,u) \ 1) = L(x,u,K(z,y)). [hyper(236,a,13468,a(flip),b,22559,a(flip))]. 22561 L(a(x,y,z) \ u,z,K(y,x)) = u * (a(x,y,z) \ 1). [hyper(18796,a,22560,a),flip(a)]. 22564 x * (a(y,z,u) \ 1) = x / a(y,z,u). [hyper(22476,a,22561,a),flip(a)]. 22567 T(x,y / (z * (a(u,w,v5) \ 1))) = T(x,y / (a(u,w,v5) \ z)). [para(22561(a,1),18175(a,1,2,2))]. 22568 x * (a(y,z,u) \ 1) != w | x / a(y,z,u) = w. [para(22561(a,1),22476(a,1))]. 22569 x * (a(y,a(z,u,w),v5) \ 1) = a(y,a(z,u,w),v5) \ x. [hyper(236,a,20096,a(flip),b,22564,a)]. 22570 x * (a(y,z,x) \ 1) = a(y,z,x) \ x. [hyper(236,a,14757,a(flip),b,22564,a)]. 22572 x \ (a(y,z,x) \ x) = a(y,z,x) \ 1. [hyper(72,a,14757,a(flip),b,22564,a)]. 22573 (x * a(y,z,u)) \ x = a(y,z,u) \ 1. [hyper(72,a,15,a(flip),b,22564,a)]. 22574 (a(x,y,z) \ z) * ((T((a(x,y,z) \ z) \ z,u) \ 1) * ((a(x,y,z) \ z) \ z)) = z * (T((a(x,y,z) \ 1) \ 1,u) \ 1). [para(22572(a,1),19889(a,2,2,1,1,1))]. 22575 L(x,y,K(z,u)) * (a(y,z,u) \ 1) = (a(y,z,u) \ 1) * x. [para(22573(a,1),22520(a,1,2))]. 22576 K(x,(a(y,a(z,u,w),v5) \ v6) \ v7) = K(x,v6 \ v7). [para(22569(a,1),21839(a,1,2,1))]. 22577 K(x,y * (a(z,a(u,w,v5),v6) * v7)) = K(x,(y \ 1) \ v7). [hyper(21941,a,22576,a)]. 22578 K(x,y * (a(z,a(u,w,v5),v6) * v7)) = K(x,y * v7). [hyper(236,a,14051,a(flip),b,22577,a)]. 22579 K(x,y * ((z * a(u,w,v5)) * v6)) = K(x,y * (z * (a(u,w,v5) * v6))). [para(14980(a,1),22578(a,1,2,2))]. 22580 L(x,y,K(z,u)) / a(y,z,u) = (a(y,z,u) \ 1) * x. [hyper(22568,a,22575,a)]. 22582 (a(x,y,z) \ 1) * u = a(x,y,z) \ u. [hyper(22484,a,22580,a),flip(a)]. 22584 (a(x,y,z) \ 1) \ u = a(x,y,z) * u. [hyper(72,a,13,a(flip),b,22582,a)]. 22585 L(x,a(y,z,u) \ 1,a(y,z,u)) = x. [hyper(17,a,392,a(flip),b,22582,a)]. 22587 (T(a(x,y,z),u) \ 1) * w = T(a(x,y,z),u) \ w. [hyper(72,a,22585,a(flip),b,11794,a),flip(a)]. 22588 (a(x,y,z) \ 1) \ u != w | a(x,y,z) * u = w. [para(22585(a,1),537(a,1))]. 22591 ((x * a(y,z,u)) \ x) \ w = a(y,z,u) * w. [para(22573(a,2),22584(a,1,1))]. 22592 T(x,y / (z * (a(u,w,v5) \ 1))) != v6 | T(x,(z / y) \ a(u,w,v5)) = v6. [para(22567(a,2),21986(a,1))]. 22593 K(x,(y \ K(z,u)) * (w * (a(v5,v6,v7) * T(z,u)))) = K(x,y \ ((w * a(v5,v6,v7)) * z)). [hyper(236,a,18209,a(flip),b,22579,a(flip))]. 22594 T(x,(y / z) \ a(u,w,v5)) = T(x,(z / y) * a(u,w,v5)). [hyper(22592,a,22537,a)]. 22595 T(x,(y / (y * (z / y))) * a(u,w,v5)) = T(x,z \ (y * a(u,w,v5))). [hyper(236,a,20162,a(flip),b,22594,a(flip))]. 22596 T(x,(((y / z) * z) \ z) * a(u,w,v5)) = T(x,y \ (z * a(u,w,v5))). [hyper(236,a,18638,a(flip),b,22595,a(flip)),flip(a)]. 22597 T(x,y \ (z * a(u,w,v5))) = T(x,(y \ z) * a(u,w,v5)). [para(16(a,1),22596(a,1,2,1,1)),flip(a)]. 22598 T(x,y \ (a(z,u,w) * v5)) = T(x,(y \ v5) * a(z,u,w)). [hyper(236,a,18046,a,b,22597,a(flip)),flip(a)]. 22599 T(x,((a(y,z,u) * w) \ v5) \ v6) = T(x,((w \ v5) \ v6) * a(y,z,u)). [hyper(236,a,22303,a,b,22598,a(flip)),flip(a)]. 22600 T(x,(y \ (a(z,u,w) \ v5)) * a(z,u,w)) = T(x,y \ v5). [para(14(a,1),22598(a,1,2,2)),flip(a)]. 22601 T(x,((y \ z) \ (a(u,w,v5) \ (y \ (z * v6)))) * a(u,w,v5)) = T(x,L(v6,a(u,w,v5) * y,z)). [hyper(236,a,22558,a(flip),b,22599,a(flip))]. 22602 K(x,K(y,z) * (u \ (w * (a(v5,v6,v7) * T(y,z))))) = K(x,u \ ((w * a(v5,v6,v7)) * y)). [hyper(19264,a,22593,a)]. 22603 K(x,y \ (T(z,u) * (a(w,v5,v6) * T(u,z)))) = K(x,y \ ((z * a(w,v5,v6)) * u)). [hyper(236,a,19299,a(flip),b,22602,a(flip)),flip(a)]. 22604 K(x,y \ T(z * (a(u,w,v5) * v6),K(z,v6))) = K(x,y \ ((z * a(u,w,v5)) * v6)). [para(8663(a,2),22603(a,1,2,2))]. 22605 K(x,y \ ((z * a(u,w,v5)) * v6)) = K(x,y \ (z * (a(u,w,v5) * v6))). [hyper(16671,a,22604,a),flip(a)]. 22607 K(x,(y * z) \ ((y * z) * (a(x,y,z) * u))) = K(x,u). [hyper(236,a,22146,a(flip),b,22605,a(flip))]. 22608 K(x,a(x,y,z) * u) = K(x,u). [para(13(a,1),22607(a,1,2))]. 22613 K(a(x,y,z) * u,x) = (w * K(x,u)) \ w. [para(22608(a,1),7549(a,1,1,2)),flip(a)]. 22614 K(a(x,y,z) * u,x) = K(u,x). [hyper(236,a,16162,a(flip),b,22613,a)]. 22615 T(x * K(y,x),y) = R(x,a(x,z,u),y). [para(22614(a,1),18903(a,1,1,2))]. 22616 R(x,a(x,y,z),u) = x. [hyper(5029,a,22615,a)]. 22619 (x * a(x,y,z)) * u = x * (a(x,y,z) * u). [para(22616(a,1),113(a,1,1)),flip(a)]. 22621 (x * y) / (a(x,z,u) \ y) = x * a(x,z,u). [hyper(74,a,88,a(flip),b,22619,a)]. 22622 (x * ((y * x) * z)) / (x * (T(y,x) * z)) = x * a(x,y,z). [para(22507(a,1),22621(a,1,2))]. 22623 R(x,y,z) = x * a(x,y,z). [hyper(236,a,15532,a,b,22622,a(flip)),flip(a)]. 22624 x * R(x \ 1,y,z) = a(x \ 1,y,z). [hyper(3704,a,22623,a)]. 22626 R(x,y,z) = a(x,y,z) * x. [hyper(236,a,12748,a,b,22623,a)]. 22634 K(x \ R(x,y,z),u) = K(a(x,y,z),u). [para(22623(a,2),660(a,1,1,2))]. 22640 (R(x,y,z) \ x) \ u = a(x,y,z) * u. [para(22623(a,2),22591(a,1,1,1))]. 22641 x * (a(x,y,z) * u) = R(x,y,z) * u. [para(22623(a,2),22619(a,1,1)),flip(a)]. 22642 a(L(x,y,z),u,w) \ L(R(x,u,w),y,z) = L(x,y,z). [hyper(72,a,44,a(flip),b,22626,a(flip))]. 22644 (x * y) \ (x * (y * (z * R(z \ 1,u,w)))) = a(L(z,y,x) \ 1,u,w). [hyper(236,a,2634,a,b,22624,a(flip)),flip(a)]. 22645 x \ (y * R(y \ x,z,u)) = a((x \ y) \ 1,z,u). [hyper(236,a,1542,a(flip),b,22624,a(flip)),flip(a)]. 22646 K(x \ R(x,y,z),u) = a(x,y,K(z,u)). [hyper(236,a,13871,a,b,22634,a)]. 22647 (R(x,y,z) \ x) * u = a(x,y,z) \ u. [hyper(305,a,22640,a),flip(a)]. 22657 R(x,y,z) * (x \ u) = a(x,y,z) * u. [hyper(17,a,1492,a,b,22641,a),flip(a)]. 22662 a(x,y,K(z,u)) * (x \ R(x,y,z)) = T(x \ R(x,y,z),u). [para(22646(a,1),4897(a,2,1)),flip(a)]. 22664 T(x * R(x \ y,z,u),y) = a(x \ y,z,u) * y. [hyper(236,a,13287,a(flip),b,22657,a(flip)),flip(a)]. 22665 K(x,T(y \ R(y,z,u),w)) = K(x,y \ R(y,z,u)). [para(22662(a,1),18065(a,1,2))]. 22667 (x * y) \ (x * (y * a(z \ 1,u,w))) = a(L(z,y,x) \ 1,u,w). [para(22624(a,1),22644(a,1,2,2,2))]. 22668 a(L(x,y,z) \ 1,u,w) = L(a(x \ 1,u,w),y,z). [hyper(447,a,22667,a),flip(a)]. 22669 T(x,L(y,a(z,u,w) * v5,v6)) = T(x,(v5 \ v6) \ (v5 \ (v6 * y))). [hyper(236,a,22600,a(flip),b,22601,a(flip))]. 22671 T(x,L(y,a(z,u,w) * v5,v6)) = T(x,L(y,v5,v6)). [hyper(236,a,22556,a(flip),b,22669,a)]. 22672 T(x,L(y,z * a(u,w,v5),v6)) = T(x,L(y,z,v6)). [hyper(236,a,20327,a,b,22671,a(flip)),flip(a)]. 22673 (a(x,y,z) \ z) * ((T(a(x,y,z),u) \ 1) * ((a(x,y,z) \ z) \ z)) = z * (T((a(x,y,z) \ 1) \ 1,u) \ 1). [para(14760(a,1),22574(a,1,2,1,1,1))]. 22674 (a(x,y,z) \ z) * ((T(a(x,y,z),u) \ 1) * a(x,y,z)) = z * (T((a(x,y,z) \ 1) \ 1,u) \ 1). [para(14760(a,1),22673(a,1,2,2))]. 22675 (a(x,y,z) \ z) * (T(a(x,y,z),u) \ a(x,y,z)) = z * (T((a(x,y,z) \ 1) \ 1,u) \ 1). [para(22587(a,1),22674(a,1,2))]. 22676 (a(x,y,z) \ z) * K(u,a(x,y,z)) = z * (T((a(x,y,z) \ 1) \ 1,u) \ 1). [para(4821(a,2),22675(a,1,2))]. 22677 (a(x,y,z) \ z) * a(u,y,K(z,x)) = z * (T((a(x,y,z) \ 1) \ 1,u) \ 1). [para(14004(a,2),22676(a,1,2))]. 22678 a(x,y,z) \ L(z,x,K(u,y)) = z * (T((a(x,y,z) \ 1) \ 1,u) \ 1). [hyper(236,a,22463,a(flip),b,22677,a(flip)),flip(a)]. 22679 x * (T((a(y,z,x) \ 1) \ 1,u) \ 1) = T(a(y,z,x),u) \ x. [hyper(236,a,22510,a(flip),b,22678,a(flip))]. 22680 x * (T(a(y,z,x),u) \ 1) = T(a(y,z,x),u) \ x. [para(12739(a,1),22679(a,1,2,1,1))]. 22681 K(x,T(K(y,z / (u / w)),v5) \ (K((z * w) / u,y) \ (K(y,z / (u / w)) * v6))) = 1 * K(x,a(y,z,K(w,z \ u)) \ (T(K(y,z / (u / w)),v5) * v6)). [para(19131(a,1),20624(a,1,1)),flip(a)]. 22682 K(x,T(K(y,z / (u / w)),v5) \ (K((z * w) / u,y) \ (K(y,z / (u / w)) * v6))) = 1 * K(x,a(y,z,K(w,z \ u)) \ (K(y,T(z / (u / w),v5)) * v6)). [para(7256(a,2),22681(a,2,2,2,2,1))]. 22684 K(x,T(K(y,z / (u / w)),v5) \ (K((z * w) / u,y) \ (K(y,z / (u / w)) * v6))) = 1 * K(x,a(w,z,K(y,z \ u)) * (K(y,T(z / (u / w),v5)) * v6)). [para(14026(a,1),22682(a,2,2,2))]. 22685 K(x,T(K(y,z / (u / w)),v5) \ (K((z * w) / u,y) \ (K(y,z / (u / w)) * v6))) = 1 * K(x,a(w,z,K(y,z \ u)) * (K(y,z / (u / w)) * v6)). [para(16707(a,1),22684(a,2,2))]. 22687 K(x,T(K(y,z / (u / w)),v5) \ (K((z * w) / u,y) \ (K(y,z / (u / w)) * v6))) = 1 * K(x,a(w,z,K(y,z \ u)) * (K(y,(u / w) \ z) * v6)). [para(16785(a,1),22685(a,2,2))]. 22688 K(x,T(K(y,z / (u / w)),v5) \ (K((z * w) / u,y) \ (K(y,z / (u / w)) * v6))) = 1 * K(x,K(y,(u / w) \ z) * v6). [para(18065(a,1),22687(a,2,2))]. 22689 K(x,T(K(y,z / (u / w)),v5) \ (K((z * w) / u,y) \ (K(y,z / (u / w)) * v6))) = 1 * K(x,K(y,(w \ u) \ z) * v6). [para(17309(a,1),22688(a,2,2))]. 22691 K(x,T(K(y,z / (u / w)),v5) \ (K((z * w) / u,y) \ (K(y,z / (u / w)) * v6))) = K(x,K(y,(w \ u) \ z) * v6). [hyper(236,a,11,a(flip),b,22689,a)]. 22692 K(x,K(y,T(z / (u / w),v5)) \ (K((z * w) / u,y) \ (K(y,z / (u / w)) * v6))) = K(x,K(y,(w \ u) \ z) * v6). [para(6439(a,1),22691(a,1,2,1))]. 22693 K(x,K(y,T(z / (u / w),v5)) \ (K(y,(z * w) / u) * (K(y,z / (u / w)) * v6))) = K(x,K(y,(w \ u) \ z) * v6). [para(5260(a,1),22692(a,1,2,2))]. 22694 K(x,K(y / (z / u),T(w,v5)) * (K(w,(y * u) / z) * (K(w,y / (z / u)) * v6))) = K(x,K(w,(u \ z) \ y) * v6). [para(7323(a,1),22693(a,1,2))]. 22695 K(x,K(y / (z / u),T(w,v5)) * (K(w,z \ (y * u)) * (K(w,y / (z / u)) * v6))) = K(x,K(w,(u \ z) \ y) * v6). [hyper(16826,a,22694,a)]. 22696 K(x,(K(y,z \ (u * w)) * (K(y,u / (z / w)) * v5)) * K(u / (z / w),y)) = K(x,K(y,(w \ z) \ u) * v5). [hyper(16703,a,22695,a)]. 22697 K(x,K(y,z \ (u * w)) * ((K(y,u / (z / w)) * v5) * K(u / (z / w),y))) = K(x,K(y,(w \ z) \ u) * v5). [hyper(18098,a,22696,a)]. 22698 K(x,K(y,z \ (u * w)) * T(v5,K(y,u / (z / w)))) = K(x,K(y,(w \ z) \ u) * v5). [para(7986(a,1),22697(a,1,2,2))]. 22699 K(x,K(y,(z \ u) \ w) * v5) != v6 | K(x,K(y,u \ (w * z)) * v5) = v6. [para(22698(a,1),16670(a,1))]. 22700 K(x,K(y,z \ (u * w)) * v5) = K(x,K(y,u * (w \ z)) * v5). [hyper(22699,a,21706,a)]. 22702 K(x,K(y,(z * u) * w) * v5) = K(x,K(y,z * (u \ w)) * v5). [hyper(21709,a,22700,a)]. 22703 K(x,K(y,z * (T(u,w) \ v5)) * v6) = K(x,K((z * u) * v5,y) * v6). [hyper(21798,a,22702,a),flip(a)]. 22704 K(x,y * K(T(z * T(u,w),u) * v5,v6)) = K(x,K(v6,T(u,w) * (z \ v5)) * y). [hyper(236,a,16786,a,b,22702,a(flip)),flip(a)]. 22705 K(x,K((y * z) * u,w) * v5) = K(x,K(y * (z \ u),w) * v5). [hyper(18214,a,22703,a),flip(a)]. 22706 K(x,K((y * z) * u,w) * v5) = K(x,K(y * (u * z),w) * v5). [hyper(236,a,20960,a(flip),b,22705,a)]. 22707 K(x,K((y \ z) * u,w) * v5) = K(x,K(y * (z * u),w) * v5). [hyper(236,a,21714,a,b,22706,a(flip)),flip(a)]. 22708 K(x,K(((y * z) \ y) * (u * w),v5) * v6) * K(x,K(v6,K(v5,(((y * z) \ y) * w) * u))) = K(x,v6 / (K(v5,u * (((y * z) \ y) * w)) * (K(v5,K(u,z * w)) \ 1))). [para(22706(a,1),22323(a,1,1))]. 22709 K(x,K(y * (z * u),w) * v5) = K(x,K(w,u * (y \ z)) * v5). [hyper(16742,a,22707,a),flip(a)]. 22710 K(x,K(y,z * ((u * w) \ u)) * v5) = K(x,v5 * K(y,w * z)). [hyper(236,a,21626,a(flip),b,22709,a(flip))]. 22711 K(x,y * K((z / (u * z)) \ w,v5)) = K(x,y * K(v5,u * w)). [hyper(21708,a,22710,a)]. 22712 K(x,y * K(((z * u) \ z) \ w,v5)) = K(x,y * K(v5,u * w)). [para(19760(a,1),22711(a,1,2,2))]. 22713 K(x,y * K(((z * u) \ z) * w,v5)) = K(x,y * K(v5,u * w)). [hyper(236,a,21652,a(flip),b,22712,a(flip)),flip(a)]. 22714 K(x,y * K(T(z * T(u,w),u) * v5,v6)) = K(x,y * K(u * (z \ v5),v6)). [hyper(236,a,17304,a(flip),b,22704,a)]. 22716 K(x,y * K((T(z,u) * w) * v5,v6)) = K(x,y * K(z * (w \ v5),v6)). [para(16713(a,1),22714(a,1,2,2))]. 22717 K(x,y * K((z * u) * w,v5)) = K(x,y * K(z * (u \ w),v5)). [para(118(a,1),22716(a,1,2,2,1,1,1))]. 22718 K(x,K((y * z) * (y * (u * w)),v5) * v6) * K(x,K(v6,K(v5,(((y * z) \ y) * w) * u))) = K(x,v6 / (K(v5,u * (((y * z) \ y) * w)) * (K(v5,K(u,z * w)) \ 1))). [para(22707(a,1),22708(a,1,1))]. 22719 K(x,y * K(z,u * (w * v5))) * K(x,K(y,K(z,(((v6 * u) \ v6) * v5) * w))) = K(x,y / (K(z,w * (((v6 * u) \ v6) * v5)) * (K(z,K(w,u * v5)) \ 1))). [para(21626(a,1),22718(a,1,1))]. 22720 K(x,y / (K(z,u * (((w * v5) \ w) * v6)) * (K(z,K(u,v5 * v6)) \ 1))) = K(x,y * K(z,v5 * (u * v6))) * 1. [para(16116(a,1),22719(a,1,2)),flip(a)]. 22722 K(x,y / (K(z,u * (((w * v5) \ w) * v6)) * (K(z,K(u,v5 * v6)) \ 1))) = K(x,y * K(z,v5 * (u * v6))). [hyper(236,a,12,a(flip),b,22720,a)]. 22724 K(x,y / (K(z,u * (((w * v5) \ w) * v6)) * (K(z,K(u,v5 * v6)) * 1))) = K(x,y * K(z,v5 * (u * v6))). [para(7964(a,1),22722(a,1,2,2,2))]. 22725 K(x,y / (K(z,u * (((w * v5) \ w) * v6)) * K(z,K(u,v5 * v6)))) = K(x,y * K(z,v5 * (u * v6))). [para(12(a,1),22724(a,1,2,2,2))]. 22726 K(x,y / K(z,(((u * w) \ u) * v5) * v6)) = K(x,y * K(z,w * (v6 * v5))). [para(20434(a,1),22725(a,1,2,2))]. 22727 K(x,y * K((((z * u) \ z) * w) * v5,v6)) = K(x,y * K(v6,u * (v5 * w))). [para(7547(a,1),22726(a,1,2))]. 22728 K(x,y * K(((z * u) \ z) * (w \ v5),v6)) = K(x,y * K(v6,u * (v5 * w))). [hyper(236,a,22717,a(flip),b,22727,a(flip)),flip(a)]. 22729 K(x,y * K(z,u * (w \ v5))) = K(x,y * K(z,u * (v5 * w))). [hyper(236,a,22713,a(flip),b,22728,a(flip)),flip(a)]. 22730 K(x,(y / T(z,(u * (w \ 1)) \ v5)) * K(v6,K(v7,v8))) = K(x,(y / z) * K(z,w * (v5 * u))). [hyper(21799,a,22729,a)]. 22731 K(x,(y / T(z,(u * (w \ 1)) \ v5)) * K(v6,K(v7,v8))) = K(x,y * (z \ K(z,w * (v5 * u)))). [hyper(236,a,19203,a(flip),b,22730,a)]. 22732 K(x,(y / T(z,(u * (w \ 1)) \ v5)) * K(v6,K(v7,v8))) = K(x,y / T(z,w * (v5 * u))). [hyper(236,a,19256,a(flip),b,22731,a)]. 22733 K(x,y / T(T(z,K(u,w)),(v5 * (v6 \ 1)) \ v7)) = K(x,y / T(z,v6 * (v7 * v5))). [para(18680(a,1),22732(a,1,2))]. 22734 K(x,y / T(z,u / (w * (v5 \ 1)))) = K(x,y / T(z,v5 * (u * w))). [para(9354(a,1),22733(a,1,2,2))]. 22735 K(x,y / T(z,u * (w * (v5 \ 1)))) = K(x,y / T(z,v5 * (u * w))). [hyper(21589,a,22734,a)]. 22736 K(x,y / T(z,u * (w \ v5))) = K(x,y / T(z,u * (v5 * w))). [hyper(236,a,21646,a(flip),b,22735,a(flip)),flip(a)]. 22737 K(x,y / T(z,u * (w / v5))) = K(x,y / T(z,u * (w * v5))). [hyper(21627,a,22736,a)]. 22738 K(x,y / T(z \ 1,u * (T(w,v5) * v6))) = K(x,y * T(z,u * (((w \ v5) \ v5) / v6))). [hyper(236,a,19647,a(flip),b,22737,a(flip))]. 22739 K(x,y * T(z,u * (((w \ v5) \ v5) / v6))) = K(x,y / T(z \ 1,u * (w * v6))). [hyper(236,a,20992,a(flip),b,22738,a(flip))]. 22741 K(x,y * T(z,u * (((w \ v5) \ v5) / v6))) = K(x,y * T(z,u * (w * v6))). [hyper(236,a,16535,a(flip),b,22739,a)]. 22742 K(x,y * T(z,u * (w / v5))) = K(x,y * T(z,u * (w * v5))). [para(128(a,1),22741(a,1,2,2,2,2,1))]. 22743 K(x,T(a(y,z,u) \ (w \ v5),w) * T(v6,a(y,z,u) * (v5 * w))) = K(x,v6 * (v5 / (a(y,z,u) * w))). [hyper(236,a,22316,a(flip),b,22742,a(flip))]. 22744 K(x,T(a(y,z,u) \ (w \ v5),w) * T(v6,v5 * w)) = K(x,v6 * (v5 / (a(y,z,u) * w))). [hyper(236,a,22291,a(flip),b,22743,a(flip)),flip(a)]. 22746 K(x,T(y \ z,y) * (a(u,w,v5) \ T(v6,z * y))) = K(x,v6 * (z / (a(u,w,v5) * y))). [hyper(236,a,22279,a(flip),b,22744,a(flip)),flip(a)]. 22747 K(x,T(y \ z,y) * T(a(u,w,v5) \ v6,z * y)) = K(x,v6 * (z / (a(u,w,v5) * y))). [hyper(236,a,22282,a(flip),b,22746,a(flip)),flip(a)]. 22748 K(x,(y / z) * T(a(u,w,v5) \ v6,y * z)) = K(x,v6 * (y / (a(u,w,v5) * z))). [hyper(236,a,18183,a(flip),b,22747,a(flip)),flip(a)]. 22749 K(x,(a(y,z,u) \ w) * (v5 / v6)) = K(x,w * (v5 / (a(y,z,u) * v6))). [hyper(236,a,21598,a(flip),b,22748,a(flip)),flip(a)]. 22750 K(x,y * (z / (a(u,w,v5) * v6))) = K(x,y * (a(u,w,v5) \ (z / v6))). [hyper(22126,a,22749,a),flip(a)]. 22751 K(x,y * (a(z,u,w) \ (T(v5,a(z,u,w) * (v5 \ v6)) / v6))) = K(x,y * (v5 / ((v5 \ (a(z,u,w) * v6)) * v5))). [hyper(236,a,22318,a(flip),b,22750,a(flip))]. 22752 K(x,y * (a(z,u,w) \ (T(v5,v5 \ v6) / v6))) = K(x,y * (v5 / ((v5 \ (a(z,u,w) * v6)) * v5))). [hyper(22314,a,22751,a)]. 22753 K(x,y * (z / ((z \ (a(u,w,v5) * v6)) * z))) = K(x,y * (a(u,w,v5) \ (v6 \ z))). [hyper(236,a,22263,a(flip),b,22752,a(flip))]. 22754 K(x,y * ((z * (z \ (a(u,w,v5) * v6))) \ z)) = K(x,y * (a(u,w,v5) \ (v6 \ z))). [hyper(236,a,18236,a(flip),b,22753,a(flip)),flip(a)]. 22755 K(x,y * ((a(z,u,w) * v5) \ v6)) = K(x,y * (a(z,u,w) \ (v5 \ v6))). [para(14(a,1),22754(a,1,2,2,1))]. 22757 K(x,y * (a(z,u,K(w,v5)) \ ((L(w,u,K(z,v5)) * v6) \ v7))) = K(x,y * ((w * v6) \ v7)). [para(14776(a,1),22755(a,1,2,2,1)),flip(a)]. 22758 K(x,y * (a(z,u,K(w,v5)) * ((L(z,u,K(w,v5)) * v6) \ v7))) = K(x,y * ((z * v6) \ v7)). [para(14026(a,1),22757(a,1,2,2))]. 22759 K(x,y * ((L(z,u,K(w,v5)) * v6) \ v7)) = K(x,y * ((z * v6) \ v7)). [hyper(21963,a,22758,a)]. 22761 K(x,y * ((z * (u / L(z,w,K(v5,v6)))) \ L(z,w,K(v5,v6)))) = K(x,y * (u \ (u / (u / L(z,w,K(v5,v6)))))). [para(5319(a,1),22759(a,1,2,2)),flip(a)]. 22762 K(x,y * ((z * (u / L(z,w,K(v5,v6)))) \ L(z,w,K(v5,v6)))) = K(x,y * (u \ L(u / (u / z),w,K(v5,v6)))). [para(10810(a,2),22761(a,2,2,2,2))]. 22763 K(x,y * ((z * (u / L(z,w,K(v5,v6)))) \ L(z,w,K(v5,v6)))) = K(x,y * (u \ (u / (u / z)))). [hyper(236,a,18121,a(flip),b,22762,a)]. 22765 K(x,y * ((z * (u / L(z,w,K(v5,v6)))) \ L(z,w,K(v5,v6)))) = K(x,y * (u \ T(z,u))). [hyper(236,a,18342,a(flip),b,22763,a)]. 22766 K(x,y * ((z * (u / L(z,w,K(v5,v6)))) \ L(z,w,K(v5,v6)))) = K(x,y * (z / u)). [hyper(236,a,15756,a(flip),b,22765,a)]. 22767 K(x,y * ((z * (u / L(z,w,K(v5,v6)))) \ z)) = K(x,y * (z / u)). [hyper(21967,a,22766,a)]. 22769 K(x,y / (z / L(u,w,K(v5,v6)))) = K(x,y * (u / z)). [hyper(236,a,22412,a(flip),b,22767,a(flip)),flip(a)]. 22771 K(x,y / (z / u)) = K(x,y * (u / z)). [hyper(236,a,20892,a(flip),b,22769,a(flip)),flip(a)]. 22772 K(x,y \ (z \ ((z * u) * y))) = K(x,y * ((u * z) / (y * z))). [hyper(236,a,21263,a(flip),b,22771,a(flip)),flip(a)]. 22773 x * K(y,x * ((z * u) / (x * u))) = u \ ((u * K(y,z)) * x). [para(22772(a,1),20545(a,1,2))]. 22774 K(x,((y * z) / (u * z)) * u) * u = z \ ((z * K(x,y)) * u). [hyper(13039,a,22773,a)]. 22775 K(x,L(y,z,z \ (u \ 1))) * u = z \ ((z * K(x,y)) * u). [para(22517(a,1),22774(a,1,1))]. 22776 (1 / x) * ((K(y,z) / x) \ u) = x \ ((x * K(z,y)) * u). [hyper(236,a,22535,a(flip),b,22775,a(flip)),flip(a)]. 22777 K(x,y) * (z \ ((z * K(y,x)) * u)) = L(u,y,K(x,z)). [para(22776(a,1),22522(a,1,2))]. 22778 L(x,K(y,z),u) = L(x,z,K(y,u)). [hyper(236,a,21222,a(flip),b,22777,a(flip)),flip(a)]. 22781 L(x,a(y,z,u) \ 1,K(w,v5)) = x. [hyper(236,a,21124,a(flip),b,22778,a(flip))]. 22782 L(x \ L(x,y,K(z,u)),x,y * (u / T(y,z))) = a(x,K(z,y),u). [para(22778(a,1),22059(a,1,1,2))]. 22783 (x * (a(y,z,u) \ 1)) * K(w,v5) = x * (a(y,z,u) \ K(w,v5)). [para(22781(a,1),15613(a,1,1)),flip(a)]. 22784 (a(x,y,z) \ z) * K(u,w) = z * (a(x,y,z) \ K(u,w)). [para(22570(a,1),22783(a,1,1))]. 22785 T(x * (a(y,z,x) \ K(u,x)),u) = (a(y,z,x) * u) \ (u * x). [para(22784(a,1),18788(a,1,1))]. 22786 (x * (a(y,z,x) \ K(u,x))) * K(x * (a(y,z,x) \ K(u,x)),u) = (a(y,z,x) * u) \ (u * x). [hyper(4981,a,22785,a)]. 22787 L(a(x,y,K(z,u)),u,y * (z / T(y,x))) = a(u,K(x,y),z). [para(14680(a,1),22782(a,1,1))]. 22788 a(x,K(y,z),u) = a(y,z,K(u,x)). [hyper(21925,a,22787,a),flip(a)]. 22790 K(x,L(y,z,u)) * a(x,K(y,z),u) = K(x,y). [para(22788(a,2),14019(a,1,2))]. 22791 K(x,L(y \ R(y,z,u),y,w)) * a(x,1,w) = K(x,y \ R(y,z,u)). [para(3698(a,1),22790(a,1,2,2))]. 22792 K(x,L(y \ R(y,z,u),y,w)) * 1 = K(x,y \ R(y,z,u)). [para(328(a,1),22791(a,1,2))]. 22793 K(x,L(y \ R(y,z,u),y,w)) = K(x,y \ R(y,z,u)). [hyper(84,a,22792,a)]. 22795 K(L(x \ R(x,y,z),x,u),w) = v5 / (K(w,x \ R(x,y,z)) * v5). [para(22793(a,1),5266(a,1,2,1)),flip(a)]. 22796 K(L(x \ R(x,y,z),x,u),w) = K(x \ R(x,y,z),w). [hyper(236,a,17975,a(flip),b,22795,a)]. 22797 K(x \ R(x,y,z),L(u,x,w)) = K(x \ R(x,y,z),u). [hyper(11595,a,22796,a)]. 22798 K((R(x,y,z) * u) / (x * u),w) = K(x \ R(x,y,z),w). [hyper(236,a,15375,a(flip),b,22797,a(flip)),flip(a)]. 22800 K(x,T((R(y,z,u) * w) / (y * w),v5)) = v5 / (v5 * K(y \ R(y,z,u),x)). [para(22798(a,1),8157(a,1,2,2)),flip(a)]. 22801 K(x,T((R(y,z,u) * w) / (y * w),v5)) = K(x,T(y \ R(y,z,u),v5)). [hyper(236,a,8157,a(flip),b,22800,a)]. 22802 K(x,T((R(y,z,u) * w) / (y * w),v5)) = v5 / (v5 * a(y,z,K(u,x))). [para(22646(a,1),22800(a,2,2,2))]. 22803 K(x,T((R(y,z,u) * w) / (y * w),v5)) = K(x,y \ R(y,z,u)). [hyper(236,a,22665,a(flip),b,22801,a)]. 22806 K(x,T((R(y,z,u) * w) / (y * w),v5)) = a(x,z,K(u,y)) * (v5 / v5). [hyper(236,a,21132,a(flip),b,22802,a)]. 22807 K(x,T((R(y,z,u) * w) / (y * w),v5)) = a(x,z,K(u,y)) * 1. [para(59(a,1),22806(a,2,2))]. 22808 K(x,T((R(y,z,u) * w) / (y * w),v5)) = a(x,z,K(u,y)). [hyper(236,a,12,a(flip),b,22807,a)]. 22810 K(x,y \ R(y,z,u)) = a(x,z,K(u,y)). [hyper(236,a,22803,a(flip),b,22808,a(flip)),flip(a)]. 22811 (R(x,y,z) * T(u,x)) * a(u * x,y,K(z,x)) = (u * x) * R(x \ R(x,y,z),x,u). [para(22810(a,1),15642(a,1,2))]. 22812 (R(x,y,z) * T(u,x)) * a(y,z,K(u,x)) = (u * x) * R(x \ R(x,y,z),x,u). [para(22452(a,1),22811(a,1,2))]. 22813 R(x,y,z) * (T(u,x) * a(y,z,K(u,x))) = (u * x) * R(x \ R(x,y,z),x,u). [hyper(21883,a,22812,a)]. 22814 R(x,y,z) * T(u,L(x,y,z)) = (u * x) * R(x \ R(x,y,z),x,u). [para(22499(a,1),22813(a,1,2))]. 22815 (x * y) * R(y \ R(y,z,u),y,x) = x * R(y,z,u). [hyper(15345,a,22814,a),flip(a)]. 22816 (R(x,y,z) * u) / (x * u) = (u * x) \ (u * R(x,y,z)). [hyper(72,a,22815,a(flip),b,3705,a(flip)),flip(a)]. 22818 (T(x,y) * (x \ y)) \ (T(x,y) * R(x \ y,z,u)) = (R(x \ y,z,u) * T(x,x \ y)) / y. [hyper(236,a,13728,a(flip),b,22816,a(flip))]. 22819 (R(x \ y,z,u) * T(x,x \ y)) / y = y \ (x * R(x \ y,z,u)). [hyper(236,a,4395,a(flip),b,22818,a(flip))]. 22820 T(x * R(x \ y,z,u),y) / y = y \ (x * R(x \ y,z,u)). [para(13285(a,1),22819(a,1,1))]. 22821 x \ (y * R(y \ x,z,u)) = (a(y \ x,z,u) * x) / x. [para(22664(a,1),22820(a,1,1)),flip(a)]. 22822 x \ (y * R(y \ x,z,u)) = a(y \ x,z,u). [hyper(236,a,15,a(flip),b,22821,a)]. 22824 a((x \ y) \ 1,z,u) = a(y \ x,z,u). [hyper(236,a,22645,a(flip),b,22822,a(flip)),flip(a)]. 22825 a((T(x,y) / (T(x,y) / z)) \ x,u,w) = a((z / x) \ 1,u,w). [hyper(18930,a,22824,a),flip(a)]. 22826 a((x * (y * z)) \ (x * y),u,w) = a(L(z,y,x) \ 1,u,w). [para(28(a,2),22824(a,1,1,1)),flip(a)]. 22827 a((x * (y * K(z * y,z \ 1))) \ (x * (z * y)),u,w) = a(L(y / (z * y),z * y,x) \ 1,u,w). [para(5802(a,1),22826(a,1,1,1,2))]. 22828 a((T(x,y) / z) * K(y,x),u,w) = a((z / x) \ 1,u,w). [para(14433(a,1),22825(a,1,1))]. 22829 a((x / y) \ 1,z,u) = a(y / x,z,u). [para(5991(a,1),22828(a,1,1)),flip(a)]. 22830 a(L(x / y,z,u) \ 1,w,v5) = L(a(y / x,w,v5),z,u). [para(22829(a,1),22668(a,2,1))]. 22831 (x * (a(y,z,x) \ K(u,x))) * K(T(x,u) / a(y,z,x),u) = (a(y,z,x) * u) \ (u * x). [para(19375(a,1),22786(a,1,2))]. 22832 (x * (a(y,z,x) \ K(u,x))) * K(a(y,z,x) \ T(x,u),u) = (a(y,z,x) * u) \ (u * x). [para(14756(a,1),22831(a,1,2,1))]. 22833 (x * (a(y,z,x) \ K(u,x))) * K(a(y,z,x) \ x,u) = (a(y,z,x) * u) \ (u * x). [para(7473(a,1),22832(a,1,2))]. 22834 (x * (a(y,z,x) \ K(u,x))) * K(x,L(u,z,y)) = (a(y,z,x) * u) \ (u * x). [para(22514(a,1),22833(a,1,2))]. 22835 x * ((a(y,z,x) \ K(u,x)) * K(x,L(u,z,y))) = (a(y,z,x) * u) \ (u * x). [hyper(8283,a,22834,a)]. 22836 (a(x,y,z) * u) \ (u * z) = z * (a(x,y,z) \ a(y,x,K(z,u))). [para(22461(a,1),22835(a,1,2)),flip(a)]. 22837 (a(x,y,z) * u) \ (u * z) = z * (T(a(x,y,z),u) \ 1). [para(22457(a,1),22836(a,2,2))]. 22838 (a(x,y,z) * u) \ (u * z) = T(a(x,y,z),u) \ z. [hyper(236,a,22680,a(flip),b,22837,a)]. 22839 (a(x,y,z) * u) * (T(a(x,y,z),u) \ z) = u * z. [para(22838(a,1),14(a,1,2))]. 22840 (x * a(y,z,u)) * (a(y,z,u) \ u) = x * u. [hyper(11053,a,22839,a)]. 22841 (x * y) / (a(z,u,y) \ y) = x * a(z,u,y). [hyper(87,a,22840,a)]. 22842 (x * a(y,z,u)) \ (x * u) = a(y,z,u) \ u. [hyper(80,a,22840,a)]. 22843 ((x * y) * z) \ ((x * (y * z)) * z) = a(x,y,z) \ z. [para(91(a,1),22842(a,1,1))]. 22844 L(x,y,z) = a(z,y,x) \ x. [hyper(236,a,1667,a,b,22843,a(flip)),flip(a)]. 22846 a(x,y,z) \ 1 = z \ L(z,y,x). [hyper(72,a,22844,a,b,22570,a),flip(a)]. 22847 a(x,y,z) * L(z,y,x) = z. [para(22844(a,2),14(a,1,2))]. 22848 a(x,y,z) = z / L(z,y,x). [para(22844(a,2),62(a,1,2)),flip(a)]. 22849 x / L(x,y,z) != u | a(z,y,x) = u. [para(22844(a,2),294(a,1,2)),flip(b)]. 22851 a(x,y,z) \ T(z,u) = L(z,y,x) * K(z,u). [para(22844(a,2),14432(a,1,1)),flip(a)]. 22852 a(x,y,z) = L(z,y,x) \ z. [para(22844(a,2),14760(a,1,1)),flip(a)]. 22853 (x * y) / L(y,z,u) = x * a(u,z,y). [para(22844(a,2),22841(a,1,2))]. 22858 L(L(x,y,z),u,w) \ L(x,u,w) = a(z,y,L(x,u,w)). [hyper(236,a,6065,a(flip),b,22848,a),flip(a)]. 22865 L(x / a(y,z,u),L(u,z,y) \ u,L(u,z,y)) = (x / u) * L(u,z,y). [para(22852(a,2),22176(a,1,1,2))]. 22866 L(x,y,K(z \ (u \ L(u,w,v5)),v6)) = L(x,y,K(v6,a(v5,w,u) * z)). [para(22846(a,1),14719(a,1,3,1,2))]. 22869 (x \ L(x,y,z)) * u = a(z,y,x) \ u. [para(22846(a,1),22582(a,1,1))]. 22871 (x \ L(x,y,z)) \ u != w | a(z,y,x) * u = w. [para(22846(a,1),22588(a,1,1))]. 22877 (x * K(y,z)) / L(z,u,w) = (x / T(z,y)) * a(w,u,z). [para(7612(a,1),22853(a,1,1))]. 22878 (x \ L(x,y,z)) \ T(K(a(z,y,x),u) * (a(w,v5,v6) * u),a(z,y,x)) = (a(w,v5,v6) * a(z,y,x)) * u. [hyper(72,a,18781,a,b,22869,a)]. 22881 T(x,L(x,y,z) * (x \ u)) = T(x,a(z,y,x) \ u). [para(22869(a,1),14650(a,1,2)),flip(a)]. 22884 R((x * K(y,z)) / L(z,u,w),L(z,u,w),K(z,y)) = x / (a(w,u,z) \ T(z,y)). [para(22851(a,2),7563(a,2,2))]. 22885 T(x,a(y,z,x) \ u) = T(x,u). [hyper(236,a,11449,a(flip),b,22881,a(flip))]. 22887 T(x,a(y,z,x) * u) = T(x,u). [para(13(a,1),22885(a,1,2)),flip(a)]. 22888 (a(x,y,z) * u) * L(T(z,u),w,v5) != v6 * v7 | v6 \ (L(z,w,v5) * (a(x,y,z) * u)) = v7. [para(22887(a,1),613(a,1,2,1))]. 22889 L(x / a(y,z,u),a(y,z,u),L(u,z,y)) = (x / u) * L(u,z,y). [para(22852(a,2),22865(a,1,2))]. 22890 R((x / T(y,z)) * a(u,w,y),L(y,w,u),K(y,z)) = x / (a(u,w,y) \ T(y,z)). [para(22877(a,1),22884(a,1,1))]. 22891 L((x / T(y,z)) * a(u,w,y),L(y,w,u),K(y,z)) = x / (a(u,w,y) \ T(y,z)). [hyper(15611,a,22890,a)]. 22892 x / (a(y,z,u) \ T(u,w)) = (x / T(u,w)) * a(y,z,u). [hyper(22482,a,22891,a)]. 22893 x / (L(y,z,u) * K(y,w)) = (x / T(y,w)) * a(u,z,y). [para(22851(a,1),22892(a,1,2))]. 22894 T(x,L(y,(L(z,u,w) * K(z,v5)) \ v6,v7)) = T(x,L(y,(v6 / T(z,v5)) * a(w,u,z),v7)). [para(22893(a,1),20328(a,1,2,2)),flip(a)]. 22895 T(x,L(y,(L(z,u,w) * K(z,v5)) \ v6,v7)) = T(x,L(y,v6 / T(z,v5),v7)). [hyper(236,a,22672,a(flip),b,22894,a)]. 22897 T(x,L(y,(L(z,u,w) * K(z,v5)) \ v6,v7)) = T(x,L(y,T(z,v5) \ v6,v7)). [hyper(236,a,20328,a(flip),b,22895,a)]. 22898 T(x,L(y,(L(z,u,w) * K(z,v5)) \ v6,v7)) = T(x,L(y,z \ v6,v7)). [hyper(236,a,20329,a(flip),b,22897,a)]. 22900 T(x,L(y,L(z,u,w) \ v5,v6)) = T(x,L(y,z \ v5,v6)). [para(133(a,1),22898(a,1,2,2,1))]. 22901 T(x,L(y,T(z,u) \ u,w)) = T(x,L(y,L(z,v5,v6) \ T(u,z),w)). [para(4117(a,2),22900(a,2,2,2)),flip(a)]. 22902 T(x,L(y,T(z,u) \ u,w)) = T(x,L(y,w,u \ L(z,v5,v6))). [hyper(236,a,22505,a(flip),b,22901,a)]. 22904 T(x,L(y,z,u \ L(w,v5,v6))) = T(x,L(y,w \ u,z)). [hyper(236,a,20329,a(flip),b,22902,a(flip))]. 22905 T(x * K(y,x),L(y,z \ u,w)) = L(x,w,K(u \ L(z,v5,v6),y)). [hyper(14752,a,22904,a),flip(a)]. 22907 L(x,y,K(z \ L(u,w,v5),v6)) = L(x,u \ z,K(y,v6)). [hyper(14752,a,22905,a),flip(a)]. 22908 L(x,y,K((z * u) \ L(z,w,v5),v6)) = L(x,u,K(y,v6)). [para(13(a,1),22907(a,2,2))]. 22909 L(x,y,K(z \ (u \ L(u,w,v5)),v6)) = L(x,z,K(y,v6)). [hyper(22169,a,22908,a)]. 22910 L(x,y,K(z,a(u,w,v5) * v6)) = L(x,v6,K(y,z)). [hyper(236,a,22866,a(flip),b,22909,a(flip)),flip(a)]. 22911 L(x,y,K(a(z,u,w) * v5,v6)) = L(x,v5,K(v6,y)). [hyper(22469,a,22910,a)]. 22913 L(x,y,K(z * a(u,w,v5),v6)) = L(x,z,K(v6,y)). [para(17711(a,1),22911(a,1,3))]. 22914 a(x * a(y,z,u),w,K(v5,v6)) = v6 \ L(v6,x,K(v5,w)). [hyper(72,a,22913,a(flip),b,14673,a),flip(a)]. 22915 a(x * a(y,z,u),w,K(v5,v6)) = a(v6,x,K(v5,w)). [hyper(236,a,14679,a(flip),b,22914,a)]. 22916 a(a(x,y,z) * u,w,K(v5,v6)) = a(v6,u,K(v5,w)). [hyper(17842,a,22915,a)]. 22917 L(x,y,K(z,u)) * (a(z,y,u) * a(w,x,K(v5,v6))) = L(a(z,y,u) * x,v6,K(v5,w)). [para(22916(a,1),15211(a,1,2,2))]. 22918 L(L(x,y,K(z,u)),w,K(v5,v6)) * a(z,y,u) = L(a(z,y,u) * x,w,K(v5,v6)). [hyper(236,a,22536,a(flip),b,22917,a(flip)),flip(a)]. 22920 L(a(x,y,z) * u,w,K(v5,v6)) = a(x,y,z) * L(u,w,K(v5,v6)). [hyper(14746,a,22918,a),flip(a)]. 22921 (a(x,y,z) * L(z,u,w)) \ (L(z,u,w) * (a(x,y,z) * v5)) = v5. [hyper(22888,a,18776,a)]. 22922 L(K(L(x,y,z),a(u,w,x)) * v5,a(u,w,x),L(x,y,z)) = v5. [hyper(236,a,11128,a(flip),b,22921,a(flip)),flip(a)]. 22923 L(a(L(x,y,z),u,K(x,w)) * v5,a(w,u,x),L(x,y,z)) = v5. [para(14004(a,2),22922(a,1,1,1))]. 22924 L(a(x,y,K(x,z)) * u,a(z,y,x),L(x,w,v5)) = u. [para(21902(a,1),22923(a,1,1,1))]. 22925 L(x,a(y,z,u),L(u,w,v5)) = x. [para(8276(a,1),22924(a,1,1))]. 22928 (x / y) * L(y,z,u) = x / a(u,z,y). [hyper(236,a,22889,a(flip),b,22925,a(flip)),flip(a)]. 22931 (x / R(x,y,z)) * L(R(x,y,z),u,w) = a(w,u,R(x,y,z)) \ x. [hyper(236,a,14929,a(flip),b,22928,a)]. 22932 (x / L(x,y,z)) * L(L(x,y,z),u,w) = a(w,u,L(x,y,z)) \ x. [hyper(236,a,14755,a(flip),b,22928,a)]. 22934 (x / y) * (a(z,u,y) \ y) = x / a(z,u,y). [para(22844(a,1),22928(a,1,2))]. 22935 (x * y) / a(z,u,y) = x * (a(z,u,y) \ y). [para(15(a,1),22934(a,1,1)),flip(a)]. 22936 (x * (a(y,z,u) \ u)) * a(y,z,u) = x * u. [para(22935(a,1),16(a,1,1))]. 22937 (x * L(y,z,u)) * a(u,z,y) = x * y. [para(22844(a,2),22936(a,1,1,2))]. 22938 ((x * y) * L(L(z,y,x),u,w)) \ (x * (y * z)) = a(w,u,L(z,y,x)). [hyper(72,a,103,a(flip),b,22937,a)]. 22939 L(a(x,y,z),u * L(z,y,x),w) = (w * (u * L(z,y,x))) \ (w * (u * z)). [para(22937(a,1),28(a,2,2,2))]. 22942 (R(x,y,z) \ x) * L(R(x,y,z),u,w) = a(w,u,R(x,y,z)) \ x. [hyper(6865,a,22931,a)]. 22943 a(x,y,z) * L(L(z,y,x),u,w) = a(w,u,L(z,y,x)) \ z. [para(22848(a,2),22932(a,1,1))]. 22944 a(x,y,z) \ L(R(x,y,z),u,w) = a(w,u,R(x,y,z)) \ x. [hyper(236,a,22647,a(flip),b,22942,a(flip)),flip(a)]. 22945 (x * (y * L(z,u,w))) \ (x * (y * z)) = a(w,u,L(z,y,x)). [para(444(a,1),22938(a,1,1))]. 22946 L(a(x,y,z),u * L(z,y,x),w) = a(x,y,L(z,u,w)). [hyper(236,a,22945,a(flip),b,22939,a)]. 22947 a(x,y,L(z,u / L(z,y,x),w)) = L(a(x,y,z),u,w). [para(16(a,1),22946(a,1,2)),flip(a)]. 22948 a(x,y,L(z,L(z,y,x) \ u,w)) = L(a(x,y,z),u,w). [para(11698(a,1),22947(a,1,3))]. 22949 a(((x * y) \ (x * (z * y))) * K(z \ 1,z * y),u,w) = a(L(y / (z * y),z * y,x) \ 1,u,w). [hyper(22116,a,22827,a)]. 22950 a(L(T(x,y),y,z) * K(x \ 1,x * y),u,w) = a(L(y / (x * y),x * y,z) \ 1,u,w). [para(178(a,1),22949(a,1,1,1))]. 22951 a(L(x / (y * x),y * x,z) \ 1,u,w) = a(L(T(y,x),x,z) * K(y * x,y),u,w). [hyper(18927,a,22950,a),flip(a)]. 22952 a(L(x / (y * x),y * x,z) \ 1,u,w) = a(L(T(y,x),x,z) * K(x * y,y),u,w). [para(5559(a,2),22951(a,2,1,2))]. 22953 a(L(x / (y * x),y * x,z) \ 1,u,w) = a(L(R(y,x,y),x,z),u,w). [para(13456(a,1),22952(a,2,1))]. 22954 a(L(x / (y * x),y * x,z) \ 1,u,w) = a(L(y,x,z),u,w). [hyper(236,a,13592,a(flip),b,22953,a)]. 22956 L(a((x * y) / y,z,u),x * y,w) = a(L(x,y,w),z,u). [hyper(236,a,22830,a(flip),b,22954,a(flip)),flip(a)]. 22957 L(a(x,y,z),x * u,w) = a(L(x,u,w),y,z). [para(15(a,1),22956(a,1,1,1))]. 22959 (x \ L(x,y,z)) \ T(a(z,y,K(x,u)) * (a(w,v5,v6) * u),a(z,y,x)) = (a(w,v5,v6) * a(z,y,x)) * u. [para(13871(a,2),22878(a,1,2,1,1))]. 22960 (x \ L(x,y,z)) \ T(a(u,w,v5) * L(v6,y,K(z,x)),a(z,y,x)) = (a(u,w,v5) * a(z,y,x)) * v6. [para(17829(a,1),22959(a,1,2,1))]. 22961 (x \ L(x,y,z)) \ T(L(a(u,w,v5) * v6,y,K(z,x)),a(z,y,x)) = (a(u,w,v5) * a(z,y,x)) * v6. [para(22920(a,2),22960(a,1,2,1))]. 22962 (x \ L(x,y,z)) \ (a(u,w,v5) * v6) = (a(u,w,v5) * a(z,y,x)) * v6. [para(14745(a,1),22961(a,1,2))]. 22963 (a(x,y,z) * a(u,w,v5)) * v6 = a(u,w,v5) * (a(x,y,z) * v6). [hyper(22871,a,22962,a),flip(a)]. 22965 a(x,y,z) * (a(u,w,v5) * L(v6,w,K(v5,u))) = (a(x,y,z) * v6) * a(u,w,v5). [hyper(236,a,22025,a(flip),b,22963,a(flip))]. 22966 (a(x,y,z) * u) * a(w,v5,v6) = a(x,y,z) * (u * a(w,v5,v6)). [para(14682(a,1),22965(a,1,2)),flip(a)]. 22967 L(a(x,y,z),u,a(w,v5,v6)) = a(x,y,z). [hyper(7030,a,22966,a)]. 22969 a(L(x,y,a(z,u,w)),v5,v6) = a(x,v5,v6). [hyper(236,a,22957,a(flip),b,22967,a(flip)),flip(a)]. 22970 a(x,y,L(z,u,a(w,v5,v6))) = a(x,y,z). [hyper(236,a,22946,a(flip),b,22967,a(flip)),flip(a)]. 22971 a(x,y,z) \ L(R(x,y,z),u,a(w,v5,v6)) = L(x,u,a(w,v5,v6)). [para(22969(a,1),22642(a,1,1))]. 22972 a(a(x,y,z),u,R(w,v5,v6)) \ w = L(w,u,a(x,y,z)). [hyper(236,a,22944,a(flip),b,22971,a(flip)),flip(a)]. 22973 x / L(x,y,a(z,u,w)) = a(a(z,u,w),y,R(x,v5,v6)) * K(v7,a(a(v8,v9,v10),v11,v12)). [para(22972(a,1),21897(a,1,2))]. 22974 a(a(x,y,z),u,R(w,v5,v6)) * K(v7,a(a(v8,v9,v10),v11,v12)) = a(a(x,y,z),u,w). [hyper(22849,a,22973,a),flip(a)]. 22975 a(a(x,y,z),u,R(w,v5,v6)) = a(a(x,y,z),u,w). [hyper(21998,a,22974,a),flip(a)]. 22976 a(a(x,y,z),u,R(w,v5,v6)) = v7 \ (a(a(x,y,z),u,w) * v7). [hyper(236,a,21924,a,b,22975,a)]. 22977 a(a(x,y,z),u,R(w,v5,v6)) / L(a(a(x,y,z),u,w),v7,v8) = a(v8,v7,a(a(x,y,z),u,w)). [hyper(74,a,22975,a,b,22847,a)]. 22978 a(a(x,y,z),u,R(w,v5,v6)) = L(L(w,u,a(x,y,z)),v7,v8) \ (a(v8,v7,L(w,u,a(x,y,z))) \ w). [para(22943(a,1),22976(a,2,2))]. 22979 a(a(x,y,z),u,R(w,v5,v6)) = L(L(w,u,a(x,y,z)),v7,v8) \ (a(v8,v7,w) \ w). [para(22970(a,1),22978(a,2,2,1))]. 22980 a(a(x,y,z),u,R(w,v5,v6)) = L(L(w,u,a(x,y,z)),v7,v8) \ L(w,v7,v8). [para(22844(a,2),22979(a,2,2))]. 22982 a(a(x,y,z),u,R(w,v5,v6)) = a(a(x,y,z),u,L(w,v7,v8)). [hyper(236,a,22858,a(flip),b,22980,a)]. 22983 a(a(x,y,z),u,R(w,v5,v6)) / L(a(a(x,y,z),u,w),v7,v8) = 1. [hyper(244,a,22948,a(flip),b,22982,a)]. 22984 a(x,y,a(a(z,u,w),v5,v6)) = 1. [hyper(236,a,22977,a(flip),b,22983,a(flip)),flip(a)]. 22985 $F # answer("nil3 30, aa1-Nr"). [resolve(22984,a,48,a)]. ============================== end of proof ========================== ============================== STATISTICS ============================ Given=20790. Generated=907652959. Kept=22966. proofs=1. Usable=20789. Sos=2174. Demods=0. Limbo=0, Disabled=32. Hints=29527. Kept_by_rule=0, Deleted_by_rule=906526778. Forward_subsumed=1103215. 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=1568262. Nonunit_bsub_feature_tests=586. Megabytes=98.04. User_CPU=5381.02, System_CPU=263.18, Wall_clock=5644. ============================== end of statistics ===================== ============================== end of search ========================= THEOREM PROVED THEOREM PROVED Exiting with 1 proof. ------ process 14976 exit (max_proofs) ------  Process 14976 exit (max_proofs) Mon Dec 7 17:42:46 2020